%------------------------------------------------------------------------------
% File     : ITP145+4 : TPTP v8.2.0. Bugfixed v7.5.0.
% Domain   : Interactive Theorem Proving
% Axioms   : HOL4 syntactic export, chainy mode
% Version  : [BG+19] axioms.
% English  :

% Refs     : [BG+19] Brown et al. (2019), GRUNGE: A Grand Unified ATP Chall
%          : [Gau19] Gauthier (2019), Email to Geoff Sutcliffe
% Source   : [BG+19]
% Names    : lift_machine_ieee.ax [Gau19]
%          : HL4145+4.ax [TPAP]

% Status   : Satisfiable
% Syntax   : Number of formulae    :   94 (  57 unt;   0 def)
%            Number of atoms       :  234 (  85 equ)
%            Maximal formula atoms :    7 (   2 avg)
%            Number of connectives :  149 (   9   ~;   3   |;  96   &)
%                                         (  14 <=>;  27  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    9 (   4 avg)
%            Maximal term depth    :   34 (   5 avg)
%            Number of predicates  :    2 (   1 usr;   0 prp; 1-2 aty)
%            Number of functors    :  128 ( 128 usr;  67 con; 0-4 aty)
%            Number of variables   :  231 ( 209   !;  22   ?)
% SPC      : FOF_SAT_RFO_SEQ

% Comments :
% Bugfixes : v7.5.0 - Fixes to the axioms.
%------------------------------------------------------------------------------
fof(reserved_2Eho_2Eboolext,axiom,
    ! [V0_2E0,V1_2E0] :
      ( ( p(s(tyop_2Emin_2Ebool,V0_2E0))
      <=> p(s(tyop_2Emin_2Ebool,V1_2E0)) )
     => s(tyop_2Emin_2Ebool,V0_2E0) = s(tyop_2Emin_2Ebool,V1_2E0) ) ).

fof(reserved_2Eho_2Etruth,axiom,
    p(s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0)) ).

fof(reserved_2Eho_2Enotfalse,axiom,
    ~ p(s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0)) ).

fof(reserved_2Eho_2Ebool__cases__ax,axiom,
    ! [V0t_2E0] :
      ( s(tyop_2Emin_2Ebool,V0t_2E0) = s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0)
      | s(tyop_2Emin_2Ebool,V0t_2E0) = s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0) ) ).

fof(reserved_2Eho_2Ei__thm,axiom,
    ! [A_27a,V0x_2E0] : s(A_27a,app_2E2(s(tyop_2Emin_2Efun(A_27a,A_27a),combin_i_2E0),s(A_27a,V0x_2E0))) = s(A_27a,V0x_2E0) ).

fof(reserved_2Eho_2Ek__thm,axiom,
    ! [A_27a,A_27b,V0x_2E0,V1y_2E0] : s(A_27a,app_2E2(s(tyop_2Emin_2Efun(A_27b,A_27a),app_2E2(s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Efun(A_27b,A_27a)),combin_k_2E0),s(A_27a,V0x_2E0))),s(A_27b,V1y_2E0))) = s(A_27a,V0x_2E0) ).

fof(reserved_2Eho_2Es__thm,axiom,
    ! [A_27a,A_27b,A_27c,V0f_2E0,V1g_2E0,V2x_2E0] : s(A_27c,app_2E2(s(tyop_2Emin_2Efun(A_27a,A_27c),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(A_27a,A_27b),tyop_2Emin_2Efun(A_27a,A_27c)),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Efun(A_27b,A_27c)),tyop_2Emin_2Efun(tyop_2Emin_2Efun(A_27a,A_27b),tyop_2Emin_2Efun(A_27a,A_27c))),combin_s_2E0),s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Efun(A_27b,A_27c)),V0f_2E0))),s(tyop_2Emin_2Efun(A_27a,A_27b),V1g_2E0))),s(A_27a,V2x_2E0))) = s(A_27c,app_2E2(s(tyop_2Emin_2Efun(A_27b,A_27c),app_2E2(s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Efun(A_27b,A_27c)),V0f_2E0),s(A_27a,V2x_2E0))),s(A_27b,app_2E2(s(tyop_2Emin_2Efun(A_27a,A_27b),V1g_2E0),s(A_27a,V2x_2E0))))) ).

fof(reserved_2Elogic_2E_2F_5C,axiom,
    ! [V0_2E0,V1_2E0] :
      ( p(s(tyop_2Emin_2Ebool,c_2Ebool_2E_2F_5C_2E2(s(tyop_2Emin_2Ebool,V0_2E0),s(tyop_2Emin_2Ebool,V1_2E0))))
    <=> ( p(s(tyop_2Emin_2Ebool,V0_2E0))
        & p(s(tyop_2Emin_2Ebool,V1_2E0)) ) ) ).

fof(reserved_2Elogic_2E_5C_2F,axiom,
    ! [V0_2E0,V1_2E0] :
      ( p(s(tyop_2Emin_2Ebool,c_2Ebool_2E_5C_2F_2E2(s(tyop_2Emin_2Ebool,V0_2E0),s(tyop_2Emin_2Ebool,V1_2E0))))
    <=> ( p(s(tyop_2Emin_2Ebool,V0_2E0))
        | p(s(tyop_2Emin_2Ebool,V1_2E0)) ) ) ).

fof(reserved_2Elogic_2E_7E,axiom,
    ! [V0_2E0] :
      ( p(s(tyop_2Emin_2Ebool,c_2Ebool_2E_7E_2E1(s(tyop_2Emin_2Ebool,V0_2E0))))
    <=> ~ p(s(tyop_2Emin_2Ebool,V0_2E0)) ) ).

fof(reserved_2Elogic_2E_3D_3D_3E,axiom,
    ! [V0_2E0,V1_2E0] :
      ( p(s(tyop_2Emin_2Ebool,c_2Emin_2E_3D_3D_3E_2E2(s(tyop_2Emin_2Ebool,V0_2E0),s(tyop_2Emin_2Ebool,V1_2E0))))
    <=> ( p(s(tyop_2Emin_2Ebool,V0_2E0))
       => p(s(tyop_2Emin_2Ebool,V1_2E0)) ) ) ).

fof(reserved_2Elogic_2E_3D,axiom,
    ! [A_27a,V0_2E0,V1_2E0] :
      ( p(s(tyop_2Emin_2Ebool,c_2Emin_2E_3D_2E2(s(A_27a,V0_2E0),s(A_27a,V1_2E0))))
    <=> s(A_27a,V0_2E0) = s(A_27a,V1_2E0) ) ).

fof(reserved_2Equant_2E_21,axiom,
    ! [A_27a,V0f_2E0] :
      ( p(s(tyop_2Emin_2Ebool,c_2Ebool_2E_21_2E1(s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool),V0f_2E0))))
    <=> ! [V1x_2E0] : p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool),V0f_2E0),s(A_27a,V1x_2E0)))) ) ).

fof(reserved_2Equant_2E_3F,axiom,
    ! [A_27a,V0f_2E0] :
      ( p(s(tyop_2Emin_2Ebool,c_2Ebool_2E_3F_2E1(s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool),V0f_2E0))))
    <=> ? [V1x_2E0] : p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool),V0f_2E0),s(A_27a,V1x_2E0)))) ) ).

fof(arityeq2_2Ec_2Ebool_2E_2F_5C_2E2,axiom,
    ! [X0_2E0,X1_2E0] :
      ( ( p(s(tyop_2Emin_2Ebool,X0_2E0))
        & p(s(tyop_2Emin_2Ebool,X1_2E0)) )
    <=> p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool)),c_2Ebool_2E_2F_5C_2E0),s(tyop_2Emin_2Ebool,X0_2E0))),s(tyop_2Emin_2Ebool,X1_2E0)))) ) ).

fof(arityeq2_2Ec_2Ebool_2E_5C_2F_2E2,axiom,
    ! [X0_2E0,X1_2E0] :
      ( ( p(s(tyop_2Emin_2Ebool,X0_2E0))
        | p(s(tyop_2Emin_2Ebool,X1_2E0)) )
    <=> p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool)),c_2Ebool_2E_5C_2F_2E0),s(tyop_2Emin_2Ebool,X0_2E0))),s(tyop_2Emin_2Ebool,X1_2E0)))) ) ).

fof(arityeq1_2Ec_2Ebool_2E_7E_2E1,axiom,
    ! [X0_2E0] :
      ( ~ p(s(tyop_2Emin_2Ebool,X0_2E0))
    <=> p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool),c_2Ebool_2E_7E_2E0),s(tyop_2Emin_2Ebool,X0_2E0)))) ) ).

fof(arityeq2_2Ec_2Emin_2E_3D_3D_3E_2E2,axiom,
    ! [X0_2E0,X1_2E0] :
      ( ( p(s(tyop_2Emin_2Ebool,X0_2E0))
       => p(s(tyop_2Emin_2Ebool,X1_2E0)) )
    <=> p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool)),c_2Emin_2E_3D_3D_3E_2E0),s(tyop_2Emin_2Ebool,X0_2E0))),s(tyop_2Emin_2Ebool,X1_2E0)))) ) ).

fof(arityeq2_2Ec_2Emin_2E_3D_2E2_2Emono_2EA_27a,axiom,
    ! [A_27a,X0_2E0,X1_2E0] :
      ( s(A_27a,X0_2E0) = s(A_27a,X1_2E0)
    <=> p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool)),c_2Emin_2E_3D_2E0),s(A_27a,X0_2E0))),s(A_27a,X1_2E0)))) ) ).

fof(arityeq1_2Ec_2Ebool_2E_21_2E1_2Emono_2EA_27a,axiom,
    ! [A_27a,X0_2E0] : s(tyop_2Emin_2Ebool,c_2Ebool_2E_21_2E1(s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool),X0_2E0))) = s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool),tyop_2Emin_2Ebool),c_2Ebool_2E_21_2E0),s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool),X0_2E0))) ).

fof(arityeq1_2Ec_2Ebool_2E_3F_2E1_2Emono_2EA_27a,axiom,
    ! [A_27a,X0_2E0] : s(tyop_2Emin_2Ebool,c_2Ebool_2E_3F_2E1(s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool),X0_2E0))) = s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool),tyop_2Emin_2Ebool),c_2Ebool_2E_3F_2E0),s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool),X0_2E0))) ).

fof(arityeq1_2Ec_2Epred__set_2EGSPEC_2E1_2Emono_2Etyop_2Erealax_2Ereal_20mono_2Etyop_2Erealax_2Ereal,axiom,
    ! [X0_2E0] : s(tyop_2Emin_2Efun(tyop_2Erealax_2Ereal,tyop_2Emin_2Ebool),c_2Epred__set_2EGSPEC_2E1(s(tyop_2Emin_2Efun(tyop_2Erealax_2Ereal,tyop_2Epair_2Eprod(tyop_2Erealax_2Ereal,tyop_2Emin_2Ebool)),X0_2E0))) = s(tyop_2Emin_2Efun(tyop_2Erealax_2Ereal,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Erealax_2Ereal,tyop_2Epair_2Eprod(tyop_2Erealax_2Ereal,tyop_2Emin_2Ebool)),tyop_2Emin_2Efun(tyop_2Erealax_2Ereal,tyop_2Emin_2Ebool)),c_2Epred__set_2EGSPEC_2E0),s(tyop_2Emin_2Efun(tyop_2Erealax_2Ereal,tyop_2Epair_2Eprod(tyop_2Erealax_2Ereal,tyop_2Emin_2Ebool)),X0_2E0))) ).

fof(arityeq1_2Ec_2Emachine__ieee_2Efp16__isFinite_2E1,axiom,
    ! [X0_2E0] : s(tyop_2Emin_2Ebool,c_2Emachine__ieee_2Efp16__isFinite_2E1(s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Eone_2Eone))))),X0_2E0))) = s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Eone_2Eone))))),tyop_2Emin_2Ebool),c_2Emachine__ieee_2Efp16__isFinite_2E0),s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Eone_2Eone))))),X0_2E0))) ).

fof(arityeq2_2Ec_2Emachine__ieee_2Efp16__sqrt_2E2,axiom,
    ! [X0_2E0,X1_2E0] : s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Eone_2Eone))))),c_2Emachine__ieee_2Efp16__sqrt_2E2(s(tyop_2Ebinary__ieee_2Erounding,X0_2E0),s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Eone_2Eone))))),X1_2E0))) = s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Eone_2Eone))))),app_2E2(s(tyop_2Emin_2Efun(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Eone_2Eone))))),tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Eone_2Eone)))))),app_2E2(s(tyop_2Emin_2Efun(tyop_2Ebinary__ieee_2Erounding,tyop_2Emin_2Efun(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Eone_2Eone))))),tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Eone_2Eone))))))),c_2Emachine__ieee_2Efp16__sqrt_2E0),s(tyop_2Ebinary__ieee_2Erounding,X0_2E0))),s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Eone_2Eone))))),X1_2E0))) ).

fof(arityeq3_2Ec_2Emachine__ieee_2Efp16__add_2E3,axiom,
    ! [X0_2E0,X1_2E0,X2_2E0] : s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Eone_2Eone))))),c_2Emachine__ieee_2Efp16__add_2E3(s(tyop_2Ebinary__ieee_2Erounding,X0_2E0),s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Eone_2Eone))))),X1_2E0),s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Eone_2Eone))))),X2_2E0))) = s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Eone_2Eone))))),app_2E2(s(tyop_2Emin_2Efun(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Eone_2Eone))))),tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Eone_2Eone)))))),app_2E2(s(tyop_2Emin_2Efun(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Eone_2Eone))))),tyop_2Emin_2Efun(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Eone_2Eone))))),tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Eone_2Eone))))))),app_2E2(s(tyop_2Emin_2Efun(tyop_2Ebinary__ieee_2Erounding,tyop_2Emin_2Efun(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Eone_2Eone))))),tyop_2Emin_2Efun(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Eone_2Eone))))),tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Eone_2Eone)))))))),c_2Emachine__ieee_2Efp16__add_2E0),s(tyop_2Ebinary__ieee_2Erounding,X0_2E0))),s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Eone_2Eone))))),X1_2E0))),s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Eone_2Eone))))),X2_2E0))) ).

fof(arityeq3_2Ec_2Emachine__ieee_2Efp16__div_2E3,axiom,
    ! [X0_2E0,X1_2E0,X2_2E0] : s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Eone_2Eone))))),c_2Emachine__ieee_2Efp16__div_2E3(s(tyop_2Ebinary__ieee_2Erounding,X0_2E0),s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Eone_2Eone))))),X1_2E0),s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Eone_2Eone))))),X2_2E0))) = s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Eone_2Eone))))),app_2E2(s(tyop_2Emin_2Efun(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Eone_2Eone))))),tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Eone_2Eone)))))),app_2E2(s(tyop_2Emin_2Efun(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Eone_2Eone))))),tyop_2Emin_2Efun(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Eone_2Eone))))),tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Eone_2Eone))))))),app_2E2(s(tyop_2Emin_2Efun(tyop_2Ebinary__ieee_2Erounding,tyop_2Emin_2Efun(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Eone_2Eone))))),tyop_2Emin_2Efun(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Eone_2Eone))))),tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Eone_2Eone)))))))),c_2Emachine__ieee_2Efp16__div_2E0),s(tyop_2Ebinary__ieee_2Erounding,X0_2E0))),s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Eone_2Eone))))),X1_2E0))),s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Eone_2Eone))))),X2_2E0))) ).

fof(arityeq3_2Ec_2Emachine__ieee_2Efp16__mul_2E3,axiom,
    ! [X0_2E0,X1_2E0,X2_2E0] : s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Eone_2Eone))))),c_2Emachine__ieee_2Efp16__mul_2E3(s(tyop_2Ebinary__ieee_2Erounding,X0_2E0),s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Eone_2Eone))))),X1_2E0),s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Eone_2Eone))))),X2_2E0))) = s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Eone_2Eone))))),app_2E2(s(tyop_2Emin_2Efun(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Eone_2Eone))))),tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Eone_2Eone)))))),app_2E2(s(tyop_2Emin_2Efun(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Eone_2Eone))))),tyop_2Emin_2Efun(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Eone_2Eone))))),tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Eone_2Eone))))))),app_2E2(s(tyop_2Emin_2Efun(tyop_2Ebinary__ieee_2Erounding,tyop_2Emin_2Efun(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Eone_2Eone))))),tyop_2Emin_2Efun(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Eone_2Eone))))),tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Eone_2Eone)))))))),c_2Emachine__ieee_2Efp16__mul_2E0),s(tyop_2Ebinary__ieee_2Erounding,X0_2E0))),s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Eone_2Eone))))),X1_2E0))),s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Eone_2Eone))))),X2_2E0))) ).

fof(arityeq3_2Ec_2Emachine__ieee_2Efp16__sub_2E3,axiom,
    ! [X0_2E0,X1_2E0,X2_2E0] : s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Eone_2Eone))))),c_2Emachine__ieee_2Efp16__sub_2E3(s(tyop_2Ebinary__ieee_2Erounding,X0_2E0),s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Eone_2Eone))))),X1_2E0),s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Eone_2Eone))))),X2_2E0))) = s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Eone_2Eone))))),app_2E2(s(tyop_2Emin_2Efun(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Eone_2Eone))))),tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Eone_2Eone)))))),app_2E2(s(tyop_2Emin_2Efun(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Eone_2Eone))))),tyop_2Emin_2Efun(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Eone_2Eone))))),tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Eone_2Eone))))))),app_2E2(s(tyop_2Emin_2Efun(tyop_2Ebinary__ieee_2Erounding,tyop_2Emin_2Efun(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Eone_2Eone))))),tyop_2Emin_2Efun(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Eone_2Eone))))),tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Eone_2Eone)))))))),c_2Emachine__ieee_2Efp16__sub_2E0),s(tyop_2Ebinary__ieee_2Erounding,X0_2E0))),s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Eone_2Eone))))),X1_2E0))),s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Eone_2Eone))))),X2_2E0))) ).

fof(arityeq4_2Ec_2Emachine__ieee_2Efp16__mul__add_2E4,axiom,
    ! [X0_2E0,X1_2E0,X2_2E0,X3_2E0] : s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Eone_2Eone))))),c_2Emachine__ieee_2Efp16__mul__add_2E4(s(tyop_2Ebinary__ieee_2Erounding,X0_2E0),s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Eone_2Eone))))),X1_2E0),s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Eone_2Eone))))),X2_2E0),s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Eone_2Eone))))),X3_2E0))) = s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Eone_2Eone))))),app_2E2(s(tyop_2Emin_2Efun(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Eone_2Eone))))),tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Eone_2Eone)))))),app_2E2(s(tyop_2Emin_2Efun(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Eone_2Eone))))),tyop_2Emin_2Efun(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Eone_2Eone))))),tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Eone_2Eone))))))),app_2E2(s(tyop_2Emin_2Efun(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Eone_2Eone))))),tyop_2Emin_2Efun(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Eone_2Eone))))),tyop_2Emin_2Efun(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Eone_2Eone))))),tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Eone_2Eone)))))))),app_2E2(s(tyop_2Emin_2Efun(tyop_2Ebinary__ieee_2Erounding,tyop_2Emin_2Efun(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Eone_2Eone))))),tyop_2Emin_2Efun(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Eone_2Eone))))),tyop_2Emin_2Efun(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Eone_2Eone))))),tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Eone_2Eone))))))))),c_2Emachine__ieee_2Efp16__mul__add_2E0),s(tyop_2Ebinary__ieee_2Erounding,X0_2E0))),s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Eone_2Eone))))),X1_2E0))),s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Eone_2Eone))))),X2_2E0))),s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Eone_2Eone))))),X3_2E0))) ).

fof(arityeq4_2Ec_2Emachine__ieee_2Efp16__mul__sub_2E4,axiom,
    ! [X0_2E0,X1_2E0,X2_2E0,X3_2E0] : s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Eone_2Eone))))),c_2Emachine__ieee_2Efp16__mul__sub_2E4(s(tyop_2Ebinary__ieee_2Erounding,X0_2E0),s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Eone_2Eone))))),X1_2E0),s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Eone_2Eone))))),X2_2E0),s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Eone_2Eone))))),X3_2E0))) = s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Eone_2Eone))))),app_2E2(s(tyop_2Emin_2Efun(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Eone_2Eone))))),tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Eone_2Eone)))))),app_2E2(s(tyop_2Emin_2Efun(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Eone_2Eone))))),tyop_2Emin_2Efun(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Eone_2Eone))))),tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Eone_2Eone))))))),app_2E2(s(tyop_2Emin_2Efun(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Eone_2Eone))))),tyop_2Emin_2Efun(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Eone_2Eone))))),tyop_2Emin_2Efun(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Eone_2Eone))))),tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Eone_2Eone)))))))),app_2E2(s(tyop_2Emin_2Efun(tyop_2Ebinary__ieee_2Erounding,tyop_2Emin_2Efun(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Eone_2Eone))))),tyop_2Emin_2Efun(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Eone_2Eone))))),tyop_2Emin_2Efun(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Eone_2Eone))))),tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Eone_2Eone))))))))),c_2Emachine__ieee_2Efp16__mul__sub_2E0),s(tyop_2Ebinary__ieee_2Erounding,X0_2E0))),s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Eone_2Eone))))),X1_2E0))),s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Eone_2Eone))))),X2_2E0))),s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Eone_2Eone))))),X3_2E0))) ).

fof(arityeq1_2Ec_2Emachine__ieee_2Efp16__isZero_2E1,axiom,
    ! [X0_2E0] : s(tyop_2Emin_2Ebool,c_2Emachine__ieee_2Efp16__isZero_2E1(s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Eone_2Eone))))),X0_2E0))) = s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Eone_2Eone))))),tyop_2Emin_2Ebool),c_2Emachine__ieee_2Efp16__isZero_2E0),s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Eone_2Eone))))),X0_2E0))) ).

fof(arityeq1_2Ec_2Emachine__ieee_2Efp16__to__real_2E1,axiom,
    ! [X0_2E0] : s(tyop_2Erealax_2Ereal,c_2Emachine__ieee_2Efp16__to__real_2E1(s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Eone_2Eone))))),X0_2E0))) = s(tyop_2Erealax_2Ereal,app_2E2(s(tyop_2Emin_2Efun(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Eone_2Eone))))),tyop_2Erealax_2Ereal),c_2Emachine__ieee_2Efp16__to__real_2E0),s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Eone_2Eone))))),X0_2E0))) ).

fof(arityeq1_2Ec_2Emachine__ieee_2Efp32__isFinite_2E1,axiom,
    ! [X0_2E0] : s(tyop_2Emin_2Ebool,c_2Emachine__ieee_2Efp32__isFinite_2E1(s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Eone_2Eone)))))),X0_2E0))) = s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Eone_2Eone)))))),tyop_2Emin_2Ebool),c_2Emachine__ieee_2Efp32__isFinite_2E0),s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Eone_2Eone)))))),X0_2E0))) ).

fof(arityeq2_2Ec_2Emachine__ieee_2Efp32__sqrt_2E2,axiom,
    ! [X0_2E0,X1_2E0] : s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Eone_2Eone)))))),c_2Emachine__ieee_2Efp32__sqrt_2E2(s(tyop_2Ebinary__ieee_2Erounding,X0_2E0),s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Eone_2Eone)))))),X1_2E0))) = s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Eone_2Eone)))))),app_2E2(s(tyop_2Emin_2Efun(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Eone_2Eone)))))),tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Eone_2Eone))))))),app_2E2(s(tyop_2Emin_2Efun(tyop_2Ebinary__ieee_2Erounding,tyop_2Emin_2Efun(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Eone_2Eone)))))),tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Eone_2Eone)))))))),c_2Emachine__ieee_2Efp32__sqrt_2E0),s(tyop_2Ebinary__ieee_2Erounding,X0_2E0))),s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Eone_2Eone)))))),X1_2E0))) ).

fof(arityeq3_2Ec_2Emachine__ieee_2Efp32__add_2E3,axiom,
    ! [X0_2E0,X1_2E0,X2_2E0] : s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Eone_2Eone)))))),c_2Emachine__ieee_2Efp32__add_2E3(s(tyop_2Ebinary__ieee_2Erounding,X0_2E0),s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Eone_2Eone)))))),X1_2E0),s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Eone_2Eone)))))),X2_2E0))) = s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Eone_2Eone)))))),app_2E2(s(tyop_2Emin_2Efun(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Eone_2Eone)))))),tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Eone_2Eone))))))),app_2E2(s(tyop_2Emin_2Efun(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Eone_2Eone)))))),tyop_2Emin_2Efun(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Eone_2Eone)))))),tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Eone_2Eone)))))))),app_2E2(s(tyop_2Emin_2Efun(tyop_2Ebinary__ieee_2Erounding,tyop_2Emin_2Efun(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Eone_2Eone)))))),tyop_2Emin_2Efun(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Eone_2Eone)))))),tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Eone_2Eone))))))))),c_2Emachine__ieee_2Efp32__add_2E0),s(tyop_2Ebinary__ieee_2Erounding,X0_2E0))),s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Eone_2Eone)))))),X1_2E0))),s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Eone_2Eone)))))),X2_2E0))) ).

fof(arityeq3_2Ec_2Emachine__ieee_2Efp32__div_2E3,axiom,
    ! [X0_2E0,X1_2E0,X2_2E0] : s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Eone_2Eone)))))),c_2Emachine__ieee_2Efp32__div_2E3(s(tyop_2Ebinary__ieee_2Erounding,X0_2E0),s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Eone_2Eone)))))),X1_2E0),s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Eone_2Eone)))))),X2_2E0))) = s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Eone_2Eone)))))),app_2E2(s(tyop_2Emin_2Efun(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Eone_2Eone)))))),tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Eone_2Eone))))))),app_2E2(s(tyop_2Emin_2Efun(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Eone_2Eone)))))),tyop_2Emin_2Efun(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Eone_2Eone)))))),tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Eone_2Eone)))))))),app_2E2(s(tyop_2Emin_2Efun(tyop_2Ebinary__ieee_2Erounding,tyop_2Emin_2Efun(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Eone_2Eone)))))),tyop_2Emin_2Efun(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Eone_2Eone)))))),tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Eone_2Eone))))))))),c_2Emachine__ieee_2Efp32__div_2E0),s(tyop_2Ebinary__ieee_2Erounding,X0_2E0))),s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Eone_2Eone)))))),X1_2E0))),s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Eone_2Eone)))))),X2_2E0))) ).

fof(arityeq3_2Ec_2Emachine__ieee_2Efp32__mul_2E3,axiom,
    ! [X0_2E0,X1_2E0,X2_2E0] : s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Eone_2Eone)))))),c_2Emachine__ieee_2Efp32__mul_2E3(s(tyop_2Ebinary__ieee_2Erounding,X0_2E0),s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Eone_2Eone)))))),X1_2E0),s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Eone_2Eone)))))),X2_2E0))) = s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Eone_2Eone)))))),app_2E2(s(tyop_2Emin_2Efun(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Eone_2Eone)))))),tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Eone_2Eone))))))),app_2E2(s(tyop_2Emin_2Efun(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Eone_2Eone)))))),tyop_2Emin_2Efun(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Eone_2Eone)))))),tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Eone_2Eone)))))))),app_2E2(s(tyop_2Emin_2Efun(tyop_2Ebinary__ieee_2Erounding,tyop_2Emin_2Efun(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Eone_2Eone)))))),tyop_2Emin_2Efun(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Eone_2Eone)))))),tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Eone_2Eone))))))))),c_2Emachine__ieee_2Efp32__mul_2E0),s(tyop_2Ebinary__ieee_2Erounding,X0_2E0))),s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Eone_2Eone)))))),X1_2E0))),s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Eone_2Eone)))))),X2_2E0))) ).

fof(arityeq3_2Ec_2Emachine__ieee_2Efp32__sub_2E3,axiom,
    ! [X0_2E0,X1_2E0,X2_2E0] : s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Eone_2Eone)))))),c_2Emachine__ieee_2Efp32__sub_2E3(s(tyop_2Ebinary__ieee_2Erounding,X0_2E0),s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Eone_2Eone)))))),X1_2E0),s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Eone_2Eone)))))),X2_2E0))) = s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Eone_2Eone)))))),app_2E2(s(tyop_2Emin_2Efun(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Eone_2Eone)))))),tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Eone_2Eone))))))),app_2E2(s(tyop_2Emin_2Efun(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Eone_2Eone)))))),tyop_2Emin_2Efun(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Eone_2Eone)))))),tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Eone_2Eone)))))))),app_2E2(s(tyop_2Emin_2Efun(tyop_2Ebinary__ieee_2Erounding,tyop_2Emin_2Efun(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Eone_2Eone)))))),tyop_2Emin_2Efun(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Eone_2Eone)))))),tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Eone_2Eone))))))))),c_2Emachine__ieee_2Efp32__sub_2E0),s(tyop_2Ebinary__ieee_2Erounding,X0_2E0))),s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Eone_2Eone)))))),X1_2E0))),s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Eone_2Eone)))))),X2_2E0))) ).

fof(arityeq4_2Ec_2Emachine__ieee_2Efp32__mul__add_2E4,axiom,
    ! [X0_2E0,X1_2E0,X2_2E0,X3_2E0] : s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Eone_2Eone)))))),c_2Emachine__ieee_2Efp32__mul__add_2E4(s(tyop_2Ebinary__ieee_2Erounding,X0_2E0),s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Eone_2Eone)))))),X1_2E0),s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Eone_2Eone)))))),X2_2E0),s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Eone_2Eone)))))),X3_2E0))) = s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Eone_2Eone)))))),app_2E2(s(tyop_2Emin_2Efun(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Eone_2Eone)))))),tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Eone_2Eone))))))),app_2E2(s(tyop_2Emin_2Efun(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Eone_2Eone)))))),tyop_2Emin_2Efun(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Eone_2Eone)))))),tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Eone_2Eone)))))))),app_2E2(s(tyop_2Emin_2Efun(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Eone_2Eone)))))),tyop_2Emin_2Efun(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Eone_2Eone)))))),tyop_2Emin_2Efun(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Eone_2Eone)))))),tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Eone_2Eone))))))))),app_2E2(s(tyop_2Emin_2Efun(tyop_2Ebinary__ieee_2Erounding,tyop_2Emin_2Efun(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Eone_2Eone)))))),tyop_2Emin_2Efun(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Eone_2Eone)))))),tyop_2Emin_2Efun(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Eone_2Eone)))))),tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Eone_2Eone)))))))))),c_2Emachine__ieee_2Efp32__mul__add_2E0),s(tyop_2Ebinary__ieee_2Erounding,X0_2E0))),s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Eone_2Eone)))))),X1_2E0))),s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Eone_2Eone)))))),X2_2E0))),s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Eone_2Eone)))))),X3_2E0))) ).

fof(arityeq4_2Ec_2Emachine__ieee_2Efp32__mul__sub_2E4,axiom,
    ! [X0_2E0,X1_2E0,X2_2E0,X3_2E0] : s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Eone_2Eone)))))),c_2Emachine__ieee_2Efp32__mul__sub_2E4(s(tyop_2Ebinary__ieee_2Erounding,X0_2E0),s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Eone_2Eone)))))),X1_2E0),s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Eone_2Eone)))))),X2_2E0),s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Eone_2Eone)))))),X3_2E0))) = s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Eone_2Eone)))))),app_2E2(s(tyop_2Emin_2Efun(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Eone_2Eone)))))),tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Eone_2Eone))))))),app_2E2(s(tyop_2Emin_2Efun(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Eone_2Eone)))))),tyop_2Emin_2Efun(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Eone_2Eone)))))),tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Eone_2Eone)))))))),app_2E2(s(tyop_2Emin_2Efun(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Eone_2Eone)))))),tyop_2Emin_2Efun(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Eone_2Eone)))))),tyop_2Emin_2Efun(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Eone_2Eone)))))),tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Eone_2Eone))))))))),app_2E2(s(tyop_2Emin_2Efun(tyop_2Ebinary__ieee_2Erounding,tyop_2Emin_2Efun(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Eone_2Eone)))))),tyop_2Emin_2Efun(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Eone_2Eone)))))),tyop_2Emin_2Efun(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Eone_2Eone)))))),tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Eone_2Eone)))))))))),c_2Emachine__ieee_2Efp32__mul__sub_2E0),s(tyop_2Ebinary__ieee_2Erounding,X0_2E0))),s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Eone_2Eone)))))),X1_2E0))),s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Eone_2Eone)))))),X2_2E0))),s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Eone_2Eone)))))),X3_2E0))) ).

fof(arityeq1_2Ec_2Emachine__ieee_2Efp32__isZero_2E1,axiom,
    ! [X0_2E0] : s(tyop_2Emin_2Ebool,c_2Emachine__ieee_2Efp32__isZero_2E1(s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Eone_2Eone)))))),X0_2E0))) = s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Eone_2Eone)))))),tyop_2Emin_2Ebool),c_2Emachine__ieee_2Efp32__isZero_2E0),s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Eone_2Eone)))))),X0_2E0))) ).

fof(arityeq1_2Ec_2Emachine__ieee_2Efp32__to__real_2E1,axiom,
    ! [X0_2E0] : s(tyop_2Erealax_2Ereal,c_2Emachine__ieee_2Efp32__to__real_2E1(s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Eone_2Eone)))))),X0_2E0))) = s(tyop_2Erealax_2Ereal,app_2E2(s(tyop_2Emin_2Efun(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Eone_2Eone)))))),tyop_2Erealax_2Ereal),c_2Emachine__ieee_2Efp32__to__real_2E0),s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Eone_2Eone)))))),X0_2E0))) ).

fof(arityeq1_2Ec_2Emachine__ieee_2Efp64__isFinite_2E1,axiom,
    ! [X0_2E0] : s(tyop_2Emin_2Ebool,c_2Emachine__ieee_2Efp64__isFinite_2E1(s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Eone_2Eone))))))),X0_2E0))) = s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Eone_2Eone))))))),tyop_2Emin_2Ebool),c_2Emachine__ieee_2Efp64__isFinite_2E0),s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Eone_2Eone))))))),X0_2E0))) ).

fof(arityeq2_2Ec_2Emachine__ieee_2Efp64__sqrt_2E2,axiom,
    ! [X0_2E0,X1_2E0] : s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Eone_2Eone))))))),c_2Emachine__ieee_2Efp64__sqrt_2E2(s(tyop_2Ebinary__ieee_2Erounding,X0_2E0),s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Eone_2Eone))))))),X1_2E0))) = s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Eone_2Eone))))))),app_2E2(s(tyop_2Emin_2Efun(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Eone_2Eone))))))),tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Eone_2Eone)))))))),app_2E2(s(tyop_2Emin_2Efun(tyop_2Ebinary__ieee_2Erounding,tyop_2Emin_2Efun(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Eone_2Eone))))))),tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Eone_2Eone))))))))),c_2Emachine__ieee_2Efp64__sqrt_2E0),s(tyop_2Ebinary__ieee_2Erounding,X0_2E0))),s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Eone_2Eone))))))),X1_2E0))) ).

fof(arityeq3_2Ec_2Emachine__ieee_2Efp64__add_2E3,axiom,
    ! [X0_2E0,X1_2E0,X2_2E0] : s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Eone_2Eone))))))),c_2Emachine__ieee_2Efp64__add_2E3(s(tyop_2Ebinary__ieee_2Erounding,X0_2E0),s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Eone_2Eone))))))),X1_2E0),s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Eone_2Eone))))))),X2_2E0))) = s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Eone_2Eone))))))),app_2E2(s(tyop_2Emin_2Efun(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Eone_2Eone))))))),tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Eone_2Eone)))))))),app_2E2(s(tyop_2Emin_2Efun(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Eone_2Eone))))))),tyop_2Emin_2Efun(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Eone_2Eone))))))),tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Eone_2Eone))))))))),app_2E2(s(tyop_2Emin_2Efun(tyop_2Ebinary__ieee_2Erounding,tyop_2Emin_2Efun(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Eone_2Eone))))))),tyop_2Emin_2Efun(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Eone_2Eone))))))),tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Eone_2Eone)))))))))),c_2Emachine__ieee_2Efp64__add_2E0),s(tyop_2Ebinary__ieee_2Erounding,X0_2E0))),s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Eone_2Eone))))))),X1_2E0))),s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Eone_2Eone))))))),X2_2E0))) ).

fof(arityeq3_2Ec_2Emachine__ieee_2Efp64__div_2E3,axiom,
    ! [X0_2E0,X1_2E0,X2_2E0] : s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Eone_2Eone))))))),c_2Emachine__ieee_2Efp64__div_2E3(s(tyop_2Ebinary__ieee_2Erounding,X0_2E0),s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Eone_2Eone))))))),X1_2E0),s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Eone_2Eone))))))),X2_2E0))) = s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Eone_2Eone))))))),app_2E2(s(tyop_2Emin_2Efun(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Eone_2Eone))))))),tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Eone_2Eone)))))))),app_2E2(s(tyop_2Emin_2Efun(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Eone_2Eone))))))),tyop_2Emin_2Efun(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Eone_2Eone))))))),tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Eone_2Eone))))))))),app_2E2(s(tyop_2Emin_2Efun(tyop_2Ebinary__ieee_2Erounding,tyop_2Emin_2Efun(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Eone_2Eone))))))),tyop_2Emin_2Efun(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Eone_2Eone))))))),tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Eone_2Eone)))))))))),c_2Emachine__ieee_2Efp64__div_2E0),s(tyop_2Ebinary__ieee_2Erounding,X0_2E0))),s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Eone_2Eone))))))),X1_2E0))),s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Eone_2Eone))))))),X2_2E0))) ).

fof(arityeq3_2Ec_2Emachine__ieee_2Efp64__mul_2E3,axiom,
    ! [X0_2E0,X1_2E0,X2_2E0] : s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Eone_2Eone))))))),c_2Emachine__ieee_2Efp64__mul_2E3(s(tyop_2Ebinary__ieee_2Erounding,X0_2E0),s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Eone_2Eone))))))),X1_2E0),s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Eone_2Eone))))))),X2_2E0))) = s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Eone_2Eone))))))),app_2E2(s(tyop_2Emin_2Efun(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Eone_2Eone))))))),tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Eone_2Eone)))))))),app_2E2(s(tyop_2Emin_2Efun(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Eone_2Eone))))))),tyop_2Emin_2Efun(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Eone_2Eone))))))),tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Eone_2Eone))))))))),app_2E2(s(tyop_2Emin_2Efun(tyop_2Ebinary__ieee_2Erounding,tyop_2Emin_2Efun(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Eone_2Eone))))))),tyop_2Emin_2Efun(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Eone_2Eone))))))),tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Eone_2Eone)))))))))),c_2Emachine__ieee_2Efp64__mul_2E0),s(tyop_2Ebinary__ieee_2Erounding,X0_2E0))),s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Eone_2Eone))))))),X1_2E0))),s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Eone_2Eone))))))),X2_2E0))) ).

fof(arityeq3_2Ec_2Emachine__ieee_2Efp64__sub_2E3,axiom,
    ! [X0_2E0,X1_2E0,X2_2E0] : s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Eone_2Eone))))))),c_2Emachine__ieee_2Efp64__sub_2E3(s(tyop_2Ebinary__ieee_2Erounding,X0_2E0),s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Eone_2Eone))))))),X1_2E0),s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Eone_2Eone))))))),X2_2E0))) = s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Eone_2Eone))))))),app_2E2(s(tyop_2Emin_2Efun(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Eone_2Eone))))))),tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Eone_2Eone)))))))),app_2E2(s(tyop_2Emin_2Efun(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Eone_2Eone))))))),tyop_2Emin_2Efun(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Eone_2Eone))))))),tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Eone_2Eone))))))))),app_2E2(s(tyop_2Emin_2Efun(tyop_2Ebinary__ieee_2Erounding,tyop_2Emin_2Efun(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Eone_2Eone))))))),tyop_2Emin_2Efun(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Eone_2Eone))))))),tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Eone_2Eone)))))))))),c_2Emachine__ieee_2Efp64__sub_2E0),s(tyop_2Ebinary__ieee_2Erounding,X0_2E0))),s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Eone_2Eone))))))),X1_2E0))),s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Eone_2Eone))))))),X2_2E0))) ).

fof(arityeq4_2Ec_2Emachine__ieee_2Efp64__mul__add_2E4,axiom,
    ! [X0_2E0,X1_2E0,X2_2E0,X3_2E0] : s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Eone_2Eone))))))),c_2Emachine__ieee_2Efp64__mul__add_2E4(s(tyop_2Ebinary__ieee_2Erounding,X0_2E0),s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Eone_2Eone))))))),X1_2E0),s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Eone_2Eone))))))),X2_2E0),s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Eone_2Eone))))))),X3_2E0))) = s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Eone_2Eone))))))),app_2E2(s(tyop_2Emin_2Efun(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Eone_2Eone))))))),tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Eone_2Eone)))))))),app_2E2(s(tyop_2Emin_2Efun(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Eone_2Eone))))))),tyop_2Emin_2Efun(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Eone_2Eone))))))),tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Eone_2Eone))))))))),app_2E2(s(tyop_2Emin_2Efun(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Eone_2Eone))))))),tyop_2Emin_2Efun(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Eone_2Eone))))))),tyop_2Emin_2Efun(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Eone_2Eone))))))),tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Eone_2Eone)))))))))),app_2E2(s(tyop_2Emin_2Efun(tyop_2Ebinary__ieee_2Erounding,tyop_2Emin_2Efun(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Eone_2Eone))))))),tyop_2Emin_2Efun(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Eone_2Eone))))))),tyop_2Emin_2Efun(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Eone_2Eone))))))),tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Eone_2Eone))))))))))),c_2Emachine__ieee_2Efp64__mul__add_2E0),s(tyop_2Ebinary__ieee_2Erounding,X0_2E0))),s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Eone_2Eone))))))),X1_2E0))),s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Eone_2Eone))))))),X2_2E0))),s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Eone_2Eone))))))),X3_2E0))) ).

fof(arityeq4_2Ec_2Emachine__ieee_2Efp64__mul__sub_2E4,axiom,
    ! [X0_2E0,X1_2E0,X2_2E0,X3_2E0] : s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Eone_2Eone))))))),c_2Emachine__ieee_2Efp64__mul__sub_2E4(s(tyop_2Ebinary__ieee_2Erounding,X0_2E0),s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Eone_2Eone))))))),X1_2E0),s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Eone_2Eone))))))),X2_2E0),s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Eone_2Eone))))))),X3_2E0))) = s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Eone_2Eone))))))),app_2E2(s(tyop_2Emin_2Efun(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Eone_2Eone))))))),tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Eone_2Eone)))))))),app_2E2(s(tyop_2Emin_2Efun(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Eone_2Eone))))))),tyop_2Emin_2Efun(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Eone_2Eone))))))),tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Eone_2Eone))))))))),app_2E2(s(tyop_2Emin_2Efun(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Eone_2Eone))))))),tyop_2Emin_2Efun(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Eone_2Eone))))))),tyop_2Emin_2Efun(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Eone_2Eone))))))),tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Eone_2Eone)))))))))),app_2E2(s(tyop_2Emin_2Efun(tyop_2Ebinary__ieee_2Erounding,tyop_2Emin_2Efun(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Eone_2Eone))))))),tyop_2Emin_2Efun(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Eone_2Eone))))))),tyop_2Emin_2Efun(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Eone_2Eone))))))),tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Eone_2Eone))))))))))),c_2Emachine__ieee_2Efp64__mul__sub_2E0),s(tyop_2Ebinary__ieee_2Erounding,X0_2E0))),s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Eone_2Eone))))))),X1_2E0))),s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Eone_2Eone))))))),X2_2E0))),s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Eone_2Eone))))))),X3_2E0))) ).

fof(arityeq1_2Ec_2Emachine__ieee_2Efp64__isZero_2E1,axiom,
    ! [X0_2E0] : s(tyop_2Emin_2Ebool,c_2Emachine__ieee_2Efp64__isZero_2E1(s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Eone_2Eone))))))),X0_2E0))) = s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Eone_2Eone))))))),tyop_2Emin_2Ebool),c_2Emachine__ieee_2Efp64__isZero_2E0),s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Eone_2Eone))))))),X0_2E0))) ).

fof(arityeq1_2Ec_2Emachine__ieee_2Efp64__to__real_2E1,axiom,
    ! [X0_2E0] : s(tyop_2Erealax_2Ereal,c_2Emachine__ieee_2Efp64__to__real_2E1(s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Eone_2Eone))))))),X0_2E0))) = s(tyop_2Erealax_2Ereal,app_2E2(s(tyop_2Emin_2Efun(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Eone_2Eone))))))),tyop_2Erealax_2Ereal),c_2Emachine__ieee_2Efp64__to__real_2E0),s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Eone_2Eone))))))),X0_2E0))) ).

fof(arityeq1_2Ec_2Ewords_2Eword__msb_2E1_2Emono_2Etyop_2Efcp_2Ebit0_28tyop_2Efcp_2Ebit0_28tyop_2Efcp_2Ebit0_28tyop_2Efcp_2Ebit0_28tyop_2Efcp_2Ebit0_28tyop_2Efcp_2Ebit0_28tyop_2Eone_2Eone_29_29_29_29_29_29,axiom,
    ! [X0_2E0] : s(tyop_2Emin_2Ebool,c_2Ewords_2Eword__msb_2E1(s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Eone_2Eone))))))),X0_2E0))) = s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Eone_2Eone))))))),tyop_2Emin_2Ebool),c_2Ewords_2Eword__msb_2E0),s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Eone_2Eone))))))),X0_2E0))) ).

fof(arityeq1_2Ec_2Ewords_2Eword__msb_2E1_2Emono_2Etyop_2Efcp_2Ebit0_28tyop_2Efcp_2Ebit0_28tyop_2Efcp_2Ebit0_28tyop_2Efcp_2Ebit0_28tyop_2Efcp_2Ebit0_28tyop_2Eone_2Eone_29_29_29_29_29,axiom,
    ! [X0_2E0] : s(tyop_2Emin_2Ebool,c_2Ewords_2Eword__msb_2E1(s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Eone_2Eone)))))),X0_2E0))) = s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Eone_2Eone)))))),tyop_2Emin_2Ebool),c_2Ewords_2Eword__msb_2E0),s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Eone_2Eone)))))),X0_2E0))) ).

fof(arityeq1_2Ec_2Ewords_2Eword__msb_2E1_2Emono_2Etyop_2Efcp_2Ebit0_28tyop_2Efcp_2Ebit0_28tyop_2Efcp_2Ebit0_28tyop_2Efcp_2Ebit0_28tyop_2Eone_2Eone_29_29_29_29,axiom,
    ! [X0_2E0] : s(tyop_2Emin_2Ebool,c_2Ewords_2Eword__msb_2E1(s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Eone_2Eone))))),X0_2E0))) = s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Eone_2Eone))))),tyop_2Emin_2Ebool),c_2Ewords_2Eword__msb_2E0),s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Eone_2Eone))))),X0_2E0))) ).

fof(arityeq2_2Ec_2Epair_2E_2C_2E2_2Emono_2Etyop_2Erealax_2Ereal_20mono_2Etyop_2Emin_2Ebool,axiom,
    ! [X0_2E0,X1_2E0] : s(tyop_2Epair_2Eprod(tyop_2Erealax_2Ereal,tyop_2Emin_2Ebool),c_2Epair_2E_2C_2E2(s(tyop_2Erealax_2Ereal,X0_2E0),s(tyop_2Emin_2Ebool,X1_2E0))) = s(tyop_2Epair_2Eprod(tyop_2Erealax_2Ereal,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Epair_2Eprod(tyop_2Erealax_2Ereal,tyop_2Emin_2Ebool)),app_2E2(s(tyop_2Emin_2Efun(tyop_2Erealax_2Ereal,tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Epair_2Eprod(tyop_2Erealax_2Ereal,tyop_2Emin_2Ebool))),c_2Epair_2E_2C_2E0),s(tyop_2Erealax_2Ereal,X0_2E0))),s(tyop_2Emin_2Ebool,X1_2E0))) ).

fof(arityeq2_2Ec_2Ereal_2E_2F_2E2,axiom,
    ! [X0_2E0,X1_2E0] : s(tyop_2Erealax_2Ereal,c_2Ereal_2E_2F_2E2(s(tyop_2Erealax_2Ereal,X0_2E0),s(tyop_2Erealax_2Ereal,X1_2E0))) = s(tyop_2Erealax_2Ereal,app_2E2(s(tyop_2Emin_2Efun(tyop_2Erealax_2Ereal,tyop_2Erealax_2Ereal),app_2E2(s(tyop_2Emin_2Efun(tyop_2Erealax_2Ereal,tyop_2Emin_2Efun(tyop_2Erealax_2Ereal,tyop_2Erealax_2Ereal)),c_2Ereal_2E_2F_2E0),s(tyop_2Erealax_2Ereal,X0_2E0))),s(tyop_2Erealax_2Ereal,X1_2E0))) ).

fof(arityeq1_2Ec_2Earithmetic_2EBIT1_2E1,axiom,
    ! [X0_2E0] : s(tyop_2Enum_2Enum,c_2Earithmetic_2EBIT1_2E1(s(tyop_2Enum_2Enum,X0_2E0))) = s(tyop_2Enum_2Enum,app_2E2(s(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Enum_2Enum),c_2Earithmetic_2EBIT1_2E0),s(tyop_2Enum_2Enum,X0_2E0))) ).

fof(arityeq1_2Ec_2Earithmetic_2EBIT2_2E1,axiom,
    ! [X0_2E0] : s(tyop_2Enum_2Enum,c_2Earithmetic_2EBIT2_2E1(s(tyop_2Enum_2Enum,X0_2E0))) = s(tyop_2Enum_2Enum,app_2E2(s(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Enum_2Enum),c_2Earithmetic_2EBIT2_2E0),s(tyop_2Enum_2Enum,X0_2E0))) ).

fof(arityeq2_2Ec_2Ebool_2EIN_2E2_2Emono_2Etyop_2Erealax_2Ereal,axiom,
    ! [X0_2E0,X1_2E0] : s(tyop_2Emin_2Ebool,c_2Ebool_2EIN_2E2(s(tyop_2Erealax_2Ereal,X0_2E0),s(tyop_2Emin_2Efun(tyop_2Erealax_2Ereal,tyop_2Emin_2Ebool),X1_2E0))) = s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Erealax_2Ereal,tyop_2Emin_2Ebool),tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Erealax_2Ereal,tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Erealax_2Ereal,tyop_2Emin_2Ebool),tyop_2Emin_2Ebool)),c_2Ebool_2EIN_2E0),s(tyop_2Erealax_2Ereal,X0_2E0))),s(tyop_2Emin_2Efun(tyop_2Erealax_2Ereal,tyop_2Emin_2Ebool),X1_2E0))) ).

fof(arityeq1_2Ec_2Earithmetic_2ENUMERAL_2E1,axiom,
    ! [X0_2E0] : s(tyop_2Enum_2Enum,c_2Earithmetic_2ENUMERAL_2E1(s(tyop_2Enum_2Enum,X0_2E0))) = s(tyop_2Enum_2Enum,app_2E2(s(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Enum_2Enum),c_2Earithmetic_2ENUMERAL_2E0),s(tyop_2Enum_2Enum,X0_2E0))) ).

fof(arityeq1_2Ec_2Ereal_2Eabs_2E1,axiom,
    ! [X0_2E0] : s(tyop_2Erealax_2Ereal,c_2Ereal_2Eabs_2E1(s(tyop_2Erealax_2Ereal,X0_2E0))) = s(tyop_2Erealax_2Ereal,app_2E2(s(tyop_2Emin_2Efun(tyop_2Erealax_2Ereal,tyop_2Erealax_2Ereal),c_2Ereal_2Eabs_2E0),s(tyop_2Erealax_2Ereal,X0_2E0))) ).

fof(arityeq2_2Ec_2Elift__machine__ieee_2Einterval_2E2,axiom,
    ! [X0_2E0,X1_2E0] : s(tyop_2Emin_2Efun(tyop_2Erealax_2Ereal,tyop_2Emin_2Ebool),c_2Elift__machine__ieee_2Einterval_2E2(s(tyop_2Erealax_2Ereal,X0_2E0),s(tyop_2Erealax_2Ereal,X1_2E0))) = s(tyop_2Emin_2Efun(tyop_2Erealax_2Ereal,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Erealax_2Ereal,tyop_2Emin_2Efun(tyop_2Erealax_2Ereal,tyop_2Emin_2Ebool)),app_2E2(s(tyop_2Emin_2Efun(tyop_2Erealax_2Ereal,tyop_2Emin_2Efun(tyop_2Erealax_2Ereal,tyop_2Emin_2Efun(tyop_2Erealax_2Ereal,tyop_2Emin_2Ebool))),c_2Elift__machine__ieee_2Einterval_2E0),s(tyop_2Erealax_2Ereal,X0_2E0))),s(tyop_2Erealax_2Ereal,X1_2E0))) ).

fof(arityeq2_2Ec_2Ereal_2Epow_2E2,axiom,
    ! [X0_2E0,X1_2E0] : s(tyop_2Erealax_2Ereal,c_2Ereal_2Epow_2E2(s(tyop_2Erealax_2Ereal,X0_2E0),s(tyop_2Enum_2Enum,X1_2E0))) = s(tyop_2Erealax_2Ereal,app_2E2(s(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Erealax_2Ereal),app_2E2(s(tyop_2Emin_2Efun(tyop_2Erealax_2Ereal,tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Erealax_2Ereal)),c_2Ereal_2Epow_2E0),s(tyop_2Erealax_2Ereal,X0_2E0))),s(tyop_2Enum_2Enum,X1_2E0))) ).

fof(arityeq2_2Ec_2Erealax_2Ereal__mul_2E2,axiom,
    ! [X0_2E0,X1_2E0] : s(tyop_2Erealax_2Ereal,c_2Erealax_2Ereal__mul_2E2(s(tyop_2Erealax_2Ereal,X0_2E0),s(tyop_2Erealax_2Ereal,X1_2E0))) = s(tyop_2Erealax_2Ereal,app_2E2(s(tyop_2Emin_2Efun(tyop_2Erealax_2Ereal,tyop_2Erealax_2Ereal),app_2E2(s(tyop_2Emin_2Efun(tyop_2Erealax_2Ereal,tyop_2Emin_2Efun(tyop_2Erealax_2Ereal,tyop_2Erealax_2Ereal)),c_2Erealax_2Ereal__mul_2E0),s(tyop_2Erealax_2Ereal,X0_2E0))),s(tyop_2Erealax_2Ereal,X1_2E0))) ).

fof(arityeq1_2Ec_2Ereal_2Ereal__of__num_2E1,axiom,
    ! [X0_2E0] : s(tyop_2Erealax_2Ereal,c_2Ereal_2Ereal__of__num_2E1(s(tyop_2Enum_2Enum,X0_2E0))) = s(tyop_2Erealax_2Ereal,app_2E2(s(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Erealax_2Ereal),c_2Ereal_2Ereal__of__num_2E0),s(tyop_2Enum_2Enum,X0_2E0))) ).

fof(arityeq2_2Ec_2Ereal_2Ereal__sub_2E2,axiom,
    ! [X0_2E0,X1_2E0] : s(tyop_2Erealax_2Ereal,c_2Ereal_2Ereal__sub_2E2(s(tyop_2Erealax_2Ereal,X0_2E0),s(tyop_2Erealax_2Ereal,X1_2E0))) = s(tyop_2Erealax_2Ereal,app_2E2(s(tyop_2Emin_2Efun(tyop_2Erealax_2Ereal,tyop_2Erealax_2Ereal),app_2E2(s(tyop_2Emin_2Efun(tyop_2Erealax_2Ereal,tyop_2Emin_2Efun(tyop_2Erealax_2Ereal,tyop_2Erealax_2Ereal)),c_2Ereal_2Ereal__sub_2E0),s(tyop_2Erealax_2Ereal,X0_2E0))),s(tyop_2Erealax_2Ereal,X1_2E0))) ).

fof(arityeq1_2Ec_2Etransc_2Esqrt_2E1,axiom,
    ! [X0_2E0] : s(tyop_2Erealax_2Ereal,c_2Etransc_2Esqrt_2E1(s(tyop_2Erealax_2Ereal,X0_2E0))) = s(tyop_2Erealax_2Ereal,app_2E2(s(tyop_2Emin_2Efun(tyop_2Erealax_2Ereal,tyop_2Erealax_2Ereal),c_2Etransc_2Esqrt_2E0),s(tyop_2Erealax_2Ereal,X0_2E0))) ).

fof(arityeq2_2Ec_2Erealax_2Ereal__add_2E2,axiom,
    ! [X0_2E0,X1_2E0] : s(tyop_2Erealax_2Ereal,c_2Erealax_2Ereal__add_2E2(s(tyop_2Erealax_2Ereal,X0_2E0),s(tyop_2Erealax_2Ereal,X1_2E0))) = s(tyop_2Erealax_2Ereal,app_2E2(s(tyop_2Emin_2Efun(tyop_2Erealax_2Ereal,tyop_2Erealax_2Ereal),app_2E2(s(tyop_2Emin_2Efun(tyop_2Erealax_2Ereal,tyop_2Emin_2Efun(tyop_2Erealax_2Ereal,tyop_2Erealax_2Ereal)),c_2Erealax_2Ereal__add_2E0),s(tyop_2Erealax_2Ereal,X0_2E0))),s(tyop_2Erealax_2Ereal,X1_2E0))) ).

fof(arityeq2_2Ec_2Erealax_2Ereal__lt_2E2,axiom,
    ! [X0_2E0,X1_2E0] : s(tyop_2Emin_2Ebool,c_2Erealax_2Ereal__lt_2E2(s(tyop_2Erealax_2Ereal,X0_2E0),s(tyop_2Erealax_2Ereal,X1_2E0))) = s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(tyop_2Erealax_2Ereal,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Erealax_2Ereal,tyop_2Emin_2Efun(tyop_2Erealax_2Ereal,tyop_2Emin_2Ebool)),c_2Erealax_2Ereal__lt_2E0),s(tyop_2Erealax_2Ereal,X0_2E0))),s(tyop_2Erealax_2Ereal,X1_2E0))) ).

fof(arityeq2_2Ec_2Ereal_2Ereal__lte_2E2,axiom,
    ! [X0_2E0,X1_2E0] : s(tyop_2Emin_2Ebool,c_2Ereal_2Ereal__lte_2E2(s(tyop_2Erealax_2Ereal,X0_2E0),s(tyop_2Erealax_2Ereal,X1_2E0))) = s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(tyop_2Erealax_2Ereal,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Erealax_2Ereal,tyop_2Emin_2Efun(tyop_2Erealax_2Ereal,tyop_2Emin_2Ebool)),c_2Ereal_2Ereal__lte_2E0),s(tyop_2Erealax_2Ereal,X0_2E0))),s(tyop_2Erealax_2Ereal,X1_2E0))) ).

fof(thm_2Elift__machine__ieee_2Einterval__def,axiom,
    ! [F1_2E0,F0_2E0] :
      ( ! [V0a_2E0,V2x_2E0,V1b_2E0] :
          ( p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(tyop_2Erealax_2Ereal,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Erealax_2Ereal,tyop_2Emin_2Efun(tyop_2Erealax_2Ereal,tyop_2Emin_2Ebool)),app_2E2(s(tyop_2Emin_2Efun(tyop_2Erealax_2Ereal,tyop_2Emin_2Efun(tyop_2Erealax_2Ereal,tyop_2Emin_2Efun(tyop_2Erealax_2Ereal,tyop_2Emin_2Ebool))),F1_2E0),s(tyop_2Erealax_2Ereal,V0a_2E0))),s(tyop_2Erealax_2Ereal,V2x_2E0))),s(tyop_2Erealax_2Ereal,V1b_2E0))))
        <=> ( p(s(tyop_2Emin_2Ebool,c_2Ereal_2Ereal__lte_2E2(s(tyop_2Erealax_2Ereal,V0a_2E0),s(tyop_2Erealax_2Ereal,V2x_2E0))))
            & p(s(tyop_2Emin_2Ebool,c_2Erealax_2Ereal__lt_2E2(s(tyop_2Erealax_2Ereal,V2x_2E0),s(tyop_2Erealax_2Ereal,V1b_2E0)))) ) )
     => ( ! [V0a_2E0,V1b_2E0,V2x_2E0] : s(tyop_2Epair_2Eprod(tyop_2Erealax_2Ereal,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Erealax_2Ereal,tyop_2Epair_2Eprod(tyop_2Erealax_2Ereal,tyop_2Emin_2Ebool)),app_2E2(s(tyop_2Emin_2Efun(tyop_2Erealax_2Ereal,tyop_2Emin_2Efun(tyop_2Erealax_2Ereal,tyop_2Epair_2Eprod(tyop_2Erealax_2Ereal,tyop_2Emin_2Ebool))),app_2E2(s(tyop_2Emin_2Efun(tyop_2Erealax_2Ereal,tyop_2Emin_2Efun(tyop_2Erealax_2Ereal,tyop_2Emin_2Efun(tyop_2Erealax_2Ereal,tyop_2Epair_2Eprod(tyop_2Erealax_2Ereal,tyop_2Emin_2Ebool)))),F0_2E0),s(tyop_2Erealax_2Ereal,V0a_2E0))),s(tyop_2Erealax_2Ereal,V1b_2E0))),s(tyop_2Erealax_2Ereal,V2x_2E0))) = s(tyop_2Epair_2Eprod(tyop_2Erealax_2Ereal,tyop_2Emin_2Ebool),c_2Epair_2E_2C_2E2(s(tyop_2Erealax_2Ereal,V2x_2E0),s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(tyop_2Erealax_2Ereal,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Erealax_2Ereal,tyop_2Emin_2Efun(tyop_2Erealax_2Ereal,tyop_2Emin_2Ebool)),app_2E2(s(tyop_2Emin_2Efun(tyop_2Erealax_2Ereal,tyop_2Emin_2Efun(tyop_2Erealax_2Ereal,tyop_2Emin_2Efun(tyop_2Erealax_2Ereal,tyop_2Emin_2Ebool))),F1_2E0),s(tyop_2Erealax_2Ereal,V0a_2E0))),s(tyop_2Erealax_2Ereal,V2x_2E0))),s(tyop_2Erealax_2Ereal,V1b_2E0)))))
       => ! [V0a_2E0,V1b_2E0] : s(tyop_2Emin_2Efun(tyop_2Erealax_2Ereal,tyop_2Emin_2Ebool),c_2Elift__machine__ieee_2Einterval_2E2(s(tyop_2Erealax_2Ereal,V0a_2E0),s(tyop_2Erealax_2Ereal,V1b_2E0))) = s(tyop_2Emin_2Efun(tyop_2Erealax_2Ereal,tyop_2Emin_2Ebool),c_2Epred__set_2EGSPEC_2E1(s(tyop_2Emin_2Efun(tyop_2Erealax_2Ereal,tyop_2Epair_2Eprod(tyop_2Erealax_2Ereal,tyop_2Emin_2Ebool)),app_2E2(s(tyop_2Emin_2Efun(tyop_2Erealax_2Ereal,tyop_2Emin_2Efun(tyop_2Erealax_2Ereal,tyop_2Epair_2Eprod(tyop_2Erealax_2Ereal,tyop_2Emin_2Ebool))),app_2E2(s(tyop_2Emin_2Efun(tyop_2Erealax_2Ereal,tyop_2Emin_2Efun(tyop_2Erealax_2Ereal,tyop_2Emin_2Efun(tyop_2Erealax_2Ereal,tyop_2Epair_2Eprod(tyop_2Erealax_2Ereal,tyop_2Emin_2Ebool)))),F0_2E0),s(tyop_2Erealax_2Ereal,V0a_2E0))),s(tyop_2Erealax_2Ereal,V1b_2E0))))) ) ) ).

fof(thm_2Elift__machine__ieee_2Efp16__float__add__relative,axiom,
    ! [V0a_2E0,V1b_2E0] :
      ( ( p(s(tyop_2Emin_2Ebool,c_2Emachine__ieee_2Efp16__isFinite_2E1(s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Eone_2Eone))))),V0a_2E0))))
        & p(s(tyop_2Emin_2Ebool,c_2Emachine__ieee_2Efp16__isFinite_2E1(s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Eone_2Eone))))),V1b_2E0))))
        & p(s(tyop_2Emin_2Ebool,c_2Ebool_2EIN_2E2(s(tyop_2Erealax_2Ereal,c_2Ereal_2Eabs_2E1(s(tyop_2Erealax_2Ereal,c_2Erealax_2Ereal__add_2E2(s(tyop_2Erealax_2Ereal,c_2Emachine__ieee_2Efp16__to__real_2E1(s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Eone_2Eone))))),V0a_2E0))),s(tyop_2Erealax_2Ereal,c_2Emachine__ieee_2Efp16__to__real_2E1(s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Eone_2Eone))))),V1b_2E0))))))),s(tyop_2Emin_2Efun(tyop_2Erealax_2Ereal,tyop_2Emin_2Ebool),c_2Elift__machine__ieee_2Einterval_2E2(s(tyop_2Erealax_2Ereal,c_2Ereal_2E_2F_2E2(s(tyop_2Erealax_2Ereal,c_2Ereal_2Ereal__of__num_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2ENUMERAL_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EBIT1_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EZERO_2E0))))))),s(tyop_2Erealax_2Ereal,c_2Ereal_2Epow_2E2(s(tyop_2Erealax_2Ereal,c_2Ereal_2Ereal__of__num_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2ENUMERAL_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EBIT2_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EZERO_2E0))))))),s(tyop_2Enum_2Enum,c_2Earithmetic_2ENUMERAL_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EBIT2_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EBIT2_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EBIT2_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EZERO_2E0))))))))))))),s(tyop_2Erealax_2Ereal,c_2Erealax_2Ereal__mul_2E2(s(tyop_2Erealax_2Ereal,c_2Ereal_2E_2F_2E2(s(tyop_2Erealax_2Ereal,c_2Ereal_2Epow_2E2(s(tyop_2Erealax_2Ereal,c_2Ereal_2Ereal__of__num_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2ENUMERAL_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EBIT2_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EZERO_2E0))))))),s(tyop_2Enum_2Enum,c_2Earithmetic_2ENUMERAL_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EBIT2_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EBIT2_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EBIT2_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EBIT2_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EZERO_2E0))))))))))))),s(tyop_2Erealax_2Ereal,c_2Ereal_2Epow_2E2(s(tyop_2Erealax_2Ereal,c_2Ereal_2Ereal__of__num_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2ENUMERAL_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EBIT2_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EZERO_2E0))))))),s(tyop_2Enum_2Enum,c_2Earithmetic_2ENUMERAL_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EBIT1_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EBIT1_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EBIT1_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EBIT1_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EZERO_2E0))))))))))))))),s(tyop_2Erealax_2Ereal,c_2Ereal_2Ereal__sub_2E2(s(tyop_2Erealax_2Ereal,c_2Ereal_2Ereal__of__num_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2ENUMERAL_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EBIT2_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EZERO_2E0))))))),s(tyop_2Erealax_2Ereal,c_2Ereal_2E_2F_2E2(s(tyop_2Erealax_2Ereal,c_2Ereal_2Ereal__of__num_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2ENUMERAL_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EBIT1_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EZERO_2E0))))))),s(tyop_2Erealax_2Ereal,c_2Ereal_2Epow_2E2(s(tyop_2Erealax_2Ereal,c_2Ereal_2Ereal__of__num_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2ENUMERAL_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EBIT2_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EZERO_2E0))))))),s(tyop_2Enum_2Enum,c_2Earithmetic_2ENUMERAL_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EBIT1_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EBIT1_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EBIT2_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EZERO_2E0)))))))))))))))))))))) )
     => ( p(s(tyop_2Emin_2Ebool,c_2Emachine__ieee_2Efp16__isFinite_2E1(s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Eone_2Eone))))),c_2Emachine__ieee_2Efp16__add_2E3(s(tyop_2Ebinary__ieee_2Erounding,c_2Ebinary__ieee_2EroundTiesToEven_2E0),s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Eone_2Eone))))),V0a_2E0),s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Eone_2Eone))))),V1b_2E0))))))
        & ? [V2e_2E0] :
            ( p(s(tyop_2Emin_2Ebool,c_2Ereal_2Ereal__lte_2E2(s(tyop_2Erealax_2Ereal,c_2Ereal_2Eabs_2E1(s(tyop_2Erealax_2Ereal,V2e_2E0))),s(tyop_2Erealax_2Ereal,c_2Ereal_2E_2F_2E2(s(tyop_2Erealax_2Ereal,c_2Ereal_2Ereal__of__num_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2ENUMERAL_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EBIT1_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EZERO_2E0))))))),s(tyop_2Erealax_2Ereal,c_2Ereal_2Epow_2E2(s(tyop_2Erealax_2Ereal,c_2Ereal_2Ereal__of__num_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2ENUMERAL_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EBIT2_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EZERO_2E0))))))),s(tyop_2Enum_2Enum,c_2Earithmetic_2ENUMERAL_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EBIT1_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EBIT1_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EBIT2_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EZERO_2E0))))))))))))))))
            & s(tyop_2Erealax_2Ereal,c_2Emachine__ieee_2Efp16__to__real_2E1(s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Eone_2Eone))))),c_2Emachine__ieee_2Efp16__add_2E3(s(tyop_2Ebinary__ieee_2Erounding,c_2Ebinary__ieee_2EroundTiesToEven_2E0),s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Eone_2Eone))))),V0a_2E0),s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Eone_2Eone))))),V1b_2E0))))) = s(tyop_2Erealax_2Ereal,c_2Erealax_2Ereal__mul_2E2(s(tyop_2Erealax_2Ereal,c_2Erealax_2Ereal__add_2E2(s(tyop_2Erealax_2Ereal,c_2Emachine__ieee_2Efp16__to__real_2E1(s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Eone_2Eone))))),V0a_2E0))),s(tyop_2Erealax_2Ereal,c_2Emachine__ieee_2Efp16__to__real_2E1(s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Eone_2Eone))))),V1b_2E0))))),s(tyop_2Erealax_2Ereal,c_2Erealax_2Ereal__add_2E2(s(tyop_2Erealax_2Ereal,c_2Ereal_2Ereal__of__num_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2ENUMERAL_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EBIT1_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EZERO_2E0))))))),s(tyop_2Erealax_2Ereal,V2e_2E0))))) ) ) ) ).

fof(thm_2Elift__machine__ieee_2Efp16__float__sub__relative,axiom,
    ! [V0a_2E0,V1b_2E0] :
      ( ( p(s(tyop_2Emin_2Ebool,c_2Emachine__ieee_2Efp16__isFinite_2E1(s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Eone_2Eone))))),V0a_2E0))))
        & p(s(tyop_2Emin_2Ebool,c_2Emachine__ieee_2Efp16__isFinite_2E1(s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Eone_2Eone))))),V1b_2E0))))
        & p(s(tyop_2Emin_2Ebool,c_2Ebool_2EIN_2E2(s(tyop_2Erealax_2Ereal,c_2Ereal_2Eabs_2E1(s(tyop_2Erealax_2Ereal,c_2Ereal_2Ereal__sub_2E2(s(tyop_2Erealax_2Ereal,c_2Emachine__ieee_2Efp16__to__real_2E1(s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Eone_2Eone))))),V0a_2E0))),s(tyop_2Erealax_2Ereal,c_2Emachine__ieee_2Efp16__to__real_2E1(s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Eone_2Eone))))),V1b_2E0))))))),s(tyop_2Emin_2Efun(tyop_2Erealax_2Ereal,tyop_2Emin_2Ebool),c_2Elift__machine__ieee_2Einterval_2E2(s(tyop_2Erealax_2Ereal,c_2Ereal_2E_2F_2E2(s(tyop_2Erealax_2Ereal,c_2Ereal_2Ereal__of__num_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2ENUMERAL_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EBIT1_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EZERO_2E0))))))),s(tyop_2Erealax_2Ereal,c_2Ereal_2Epow_2E2(s(tyop_2Erealax_2Ereal,c_2Ereal_2Ereal__of__num_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2ENUMERAL_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EBIT2_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EZERO_2E0))))))),s(tyop_2Enum_2Enum,c_2Earithmetic_2ENUMERAL_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EBIT2_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EBIT2_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EBIT2_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EZERO_2E0))))))))))))),s(tyop_2Erealax_2Ereal,c_2Erealax_2Ereal__mul_2E2(s(tyop_2Erealax_2Ereal,c_2Ereal_2E_2F_2E2(s(tyop_2Erealax_2Ereal,c_2Ereal_2Epow_2E2(s(tyop_2Erealax_2Ereal,c_2Ereal_2Ereal__of__num_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2ENUMERAL_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EBIT2_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EZERO_2E0))))))),s(tyop_2Enum_2Enum,c_2Earithmetic_2ENUMERAL_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EBIT2_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EBIT2_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EBIT2_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EBIT2_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EZERO_2E0))))))))))))),s(tyop_2Erealax_2Ereal,c_2Ereal_2Epow_2E2(s(tyop_2Erealax_2Ereal,c_2Ereal_2Ereal__of__num_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2ENUMERAL_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EBIT2_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EZERO_2E0))))))),s(tyop_2Enum_2Enum,c_2Earithmetic_2ENUMERAL_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EBIT1_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EBIT1_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EBIT1_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EBIT1_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EZERO_2E0))))))))))))))),s(tyop_2Erealax_2Ereal,c_2Ereal_2Ereal__sub_2E2(s(tyop_2Erealax_2Ereal,c_2Ereal_2Ereal__of__num_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2ENUMERAL_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EBIT2_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EZERO_2E0))))))),s(tyop_2Erealax_2Ereal,c_2Ereal_2E_2F_2E2(s(tyop_2Erealax_2Ereal,c_2Ereal_2Ereal__of__num_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2ENUMERAL_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EBIT1_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EZERO_2E0))))))),s(tyop_2Erealax_2Ereal,c_2Ereal_2Epow_2E2(s(tyop_2Erealax_2Ereal,c_2Ereal_2Ereal__of__num_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2ENUMERAL_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EBIT2_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EZERO_2E0))))))),s(tyop_2Enum_2Enum,c_2Earithmetic_2ENUMERAL_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EBIT1_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EBIT1_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EBIT2_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EZERO_2E0)))))))))))))))))))))) )
     => ( p(s(tyop_2Emin_2Ebool,c_2Emachine__ieee_2Efp16__isFinite_2E1(s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Eone_2Eone))))),c_2Emachine__ieee_2Efp16__sub_2E3(s(tyop_2Ebinary__ieee_2Erounding,c_2Ebinary__ieee_2EroundTiesToEven_2E0),s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Eone_2Eone))))),V0a_2E0),s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Eone_2Eone))))),V1b_2E0))))))
        & ? [V2e_2E0] :
            ( p(s(tyop_2Emin_2Ebool,c_2Ereal_2Ereal__lte_2E2(s(tyop_2Erealax_2Ereal,c_2Ereal_2Eabs_2E1(s(tyop_2Erealax_2Ereal,V2e_2E0))),s(tyop_2Erealax_2Ereal,c_2Ereal_2E_2F_2E2(s(tyop_2Erealax_2Ereal,c_2Ereal_2Ereal__of__num_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2ENUMERAL_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EBIT1_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EZERO_2E0))))))),s(tyop_2Erealax_2Ereal,c_2Ereal_2Epow_2E2(s(tyop_2Erealax_2Ereal,c_2Ereal_2Ereal__of__num_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2ENUMERAL_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EBIT2_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EZERO_2E0))))))),s(tyop_2Enum_2Enum,c_2Earithmetic_2ENUMERAL_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EBIT1_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EBIT1_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EBIT2_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EZERO_2E0))))))))))))))))
            & s(tyop_2Erealax_2Ereal,c_2Emachine__ieee_2Efp16__to__real_2E1(s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Eone_2Eone))))),c_2Emachine__ieee_2Efp16__sub_2E3(s(tyop_2Ebinary__ieee_2Erounding,c_2Ebinary__ieee_2EroundTiesToEven_2E0),s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Eone_2Eone))))),V0a_2E0),s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Eone_2Eone))))),V1b_2E0))))) = s(tyop_2Erealax_2Ereal,c_2Erealax_2Ereal__mul_2E2(s(tyop_2Erealax_2Ereal,c_2Ereal_2Ereal__sub_2E2(s(tyop_2Erealax_2Ereal,c_2Emachine__ieee_2Efp16__to__real_2E1(s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Eone_2Eone))))),V0a_2E0))),s(tyop_2Erealax_2Ereal,c_2Emachine__ieee_2Efp16__to__real_2E1(s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Eone_2Eone))))),V1b_2E0))))),s(tyop_2Erealax_2Ereal,c_2Erealax_2Ereal__add_2E2(s(tyop_2Erealax_2Ereal,c_2Ereal_2Ereal__of__num_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2ENUMERAL_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EBIT1_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EZERO_2E0))))))),s(tyop_2Erealax_2Ereal,V2e_2E0))))) ) ) ) ).

fof(thm_2Elift__machine__ieee_2Efp16__float__mul__relative,axiom,
    ! [V0a_2E0,V1b_2E0] :
      ( ( p(s(tyop_2Emin_2Ebool,c_2Emachine__ieee_2Efp16__isFinite_2E1(s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Eone_2Eone))))),V0a_2E0))))
        & p(s(tyop_2Emin_2Ebool,c_2Emachine__ieee_2Efp16__isFinite_2E1(s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Eone_2Eone))))),V1b_2E0))))
        & p(s(tyop_2Emin_2Ebool,c_2Ebool_2EIN_2E2(s(tyop_2Erealax_2Ereal,c_2Ereal_2Eabs_2E1(s(tyop_2Erealax_2Ereal,c_2Erealax_2Ereal__mul_2E2(s(tyop_2Erealax_2Ereal,c_2Emachine__ieee_2Efp16__to__real_2E1(s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Eone_2Eone))))),V0a_2E0))),s(tyop_2Erealax_2Ereal,c_2Emachine__ieee_2Efp16__to__real_2E1(s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Eone_2Eone))))),V1b_2E0))))))),s(tyop_2Emin_2Efun(tyop_2Erealax_2Ereal,tyop_2Emin_2Ebool),c_2Elift__machine__ieee_2Einterval_2E2(s(tyop_2Erealax_2Ereal,c_2Ereal_2E_2F_2E2(s(tyop_2Erealax_2Ereal,c_2Ereal_2Ereal__of__num_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2ENUMERAL_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EBIT1_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EZERO_2E0))))))),s(tyop_2Erealax_2Ereal,c_2Ereal_2Epow_2E2(s(tyop_2Erealax_2Ereal,c_2Ereal_2Ereal__of__num_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2ENUMERAL_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EBIT2_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EZERO_2E0))))))),s(tyop_2Enum_2Enum,c_2Earithmetic_2ENUMERAL_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EBIT2_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EBIT2_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EBIT2_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EZERO_2E0))))))))))))),s(tyop_2Erealax_2Ereal,c_2Erealax_2Ereal__mul_2E2(s(tyop_2Erealax_2Ereal,c_2Ereal_2E_2F_2E2(s(tyop_2Erealax_2Ereal,c_2Ereal_2Epow_2E2(s(tyop_2Erealax_2Ereal,c_2Ereal_2Ereal__of__num_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2ENUMERAL_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EBIT2_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EZERO_2E0))))))),s(tyop_2Enum_2Enum,c_2Earithmetic_2ENUMERAL_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EBIT2_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EBIT2_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EBIT2_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EBIT2_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EZERO_2E0))))))))))))),s(tyop_2Erealax_2Ereal,c_2Ereal_2Epow_2E2(s(tyop_2Erealax_2Ereal,c_2Ereal_2Ereal__of__num_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2ENUMERAL_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EBIT2_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EZERO_2E0))))))),s(tyop_2Enum_2Enum,c_2Earithmetic_2ENUMERAL_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EBIT1_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EBIT1_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EBIT1_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EBIT1_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EZERO_2E0))))))))))))))),s(tyop_2Erealax_2Ereal,c_2Ereal_2Ereal__sub_2E2(s(tyop_2Erealax_2Ereal,c_2Ereal_2Ereal__of__num_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2ENUMERAL_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EBIT2_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EZERO_2E0))))))),s(tyop_2Erealax_2Ereal,c_2Ereal_2E_2F_2E2(s(tyop_2Erealax_2Ereal,c_2Ereal_2Ereal__of__num_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2ENUMERAL_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EBIT1_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EZERO_2E0))))))),s(tyop_2Erealax_2Ereal,c_2Ereal_2Epow_2E2(s(tyop_2Erealax_2Ereal,c_2Ereal_2Ereal__of__num_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2ENUMERAL_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EBIT2_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EZERO_2E0))))))),s(tyop_2Enum_2Enum,c_2Earithmetic_2ENUMERAL_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EBIT1_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EBIT1_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EBIT2_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EZERO_2E0)))))))))))))))))))))) )
     => ( p(s(tyop_2Emin_2Ebool,c_2Emachine__ieee_2Efp16__isFinite_2E1(s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Eone_2Eone))))),c_2Emachine__ieee_2Efp16__mul_2E3(s(tyop_2Ebinary__ieee_2Erounding,c_2Ebinary__ieee_2EroundTiesToEven_2E0),s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Eone_2Eone))))),V0a_2E0),s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Eone_2Eone))))),V1b_2E0))))))
        & ? [V2e_2E0] :
            ( p(s(tyop_2Emin_2Ebool,c_2Ereal_2Ereal__lte_2E2(s(tyop_2Erealax_2Ereal,c_2Ereal_2Eabs_2E1(s(tyop_2Erealax_2Ereal,V2e_2E0))),s(tyop_2Erealax_2Ereal,c_2Ereal_2E_2F_2E2(s(tyop_2Erealax_2Ereal,c_2Ereal_2Ereal__of__num_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2ENUMERAL_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EBIT1_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EZERO_2E0))))))),s(tyop_2Erealax_2Ereal,c_2Ereal_2Epow_2E2(s(tyop_2Erealax_2Ereal,c_2Ereal_2Ereal__of__num_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2ENUMERAL_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EBIT2_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EZERO_2E0))))))),s(tyop_2Enum_2Enum,c_2Earithmetic_2ENUMERAL_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EBIT1_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EBIT1_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EBIT2_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EZERO_2E0))))))))))))))))
            & s(tyop_2Erealax_2Ereal,c_2Emachine__ieee_2Efp16__to__real_2E1(s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Eone_2Eone))))),c_2Emachine__ieee_2Efp16__mul_2E3(s(tyop_2Ebinary__ieee_2Erounding,c_2Ebinary__ieee_2EroundTiesToEven_2E0),s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Eone_2Eone))))),V0a_2E0),s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Eone_2Eone))))),V1b_2E0))))) = s(tyop_2Erealax_2Ereal,c_2Erealax_2Ereal__mul_2E2(s(tyop_2Erealax_2Ereal,c_2Erealax_2Ereal__mul_2E2(s(tyop_2Erealax_2Ereal,c_2Emachine__ieee_2Efp16__to__real_2E1(s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Eone_2Eone))))),V0a_2E0))),s(tyop_2Erealax_2Ereal,c_2Emachine__ieee_2Efp16__to__real_2E1(s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Eone_2Eone))))),V1b_2E0))))),s(tyop_2Erealax_2Ereal,c_2Erealax_2Ereal__add_2E2(s(tyop_2Erealax_2Ereal,c_2Ereal_2Ereal__of__num_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2ENUMERAL_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EBIT1_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EZERO_2E0))))))),s(tyop_2Erealax_2Ereal,V2e_2E0))))) ) ) ) ).

fof(thm_2Elift__machine__ieee_2Efp16__float__mul__add__relative,axiom,
    ! [V0a_2E0,V1b_2E0,V2c_2E0] :
      ( ( p(s(tyop_2Emin_2Ebool,c_2Emachine__ieee_2Efp16__isFinite_2E1(s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Eone_2Eone))))),V0a_2E0))))
        & p(s(tyop_2Emin_2Ebool,c_2Emachine__ieee_2Efp16__isFinite_2E1(s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Eone_2Eone))))),V1b_2E0))))
        & p(s(tyop_2Emin_2Ebool,c_2Emachine__ieee_2Efp16__isFinite_2E1(s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Eone_2Eone))))),V2c_2E0))))
        & p(s(tyop_2Emin_2Ebool,c_2Ebool_2EIN_2E2(s(tyop_2Erealax_2Ereal,c_2Ereal_2Eabs_2E1(s(tyop_2Erealax_2Ereal,c_2Erealax_2Ereal__add_2E2(s(tyop_2Erealax_2Ereal,c_2Erealax_2Ereal__mul_2E2(s(tyop_2Erealax_2Ereal,c_2Emachine__ieee_2Efp16__to__real_2E1(s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Eone_2Eone))))),V0a_2E0))),s(tyop_2Erealax_2Ereal,c_2Emachine__ieee_2Efp16__to__real_2E1(s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Eone_2Eone))))),V1b_2E0))))),s(tyop_2Erealax_2Ereal,c_2Emachine__ieee_2Efp16__to__real_2E1(s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Eone_2Eone))))),V2c_2E0))))))),s(tyop_2Emin_2Efun(tyop_2Erealax_2Ereal,tyop_2Emin_2Ebool),c_2Elift__machine__ieee_2Einterval_2E2(s(tyop_2Erealax_2Ereal,c_2Ereal_2E_2F_2E2(s(tyop_2Erealax_2Ereal,c_2Ereal_2Ereal__of__num_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2ENUMERAL_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EBIT1_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EZERO_2E0))))))),s(tyop_2Erealax_2Ereal,c_2Ereal_2Epow_2E2(s(tyop_2Erealax_2Ereal,c_2Ereal_2Ereal__of__num_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2ENUMERAL_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EBIT2_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EZERO_2E0))))))),s(tyop_2Enum_2Enum,c_2Earithmetic_2ENUMERAL_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EBIT2_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EBIT2_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EBIT2_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EZERO_2E0))))))))))))),s(tyop_2Erealax_2Ereal,c_2Erealax_2Ereal__mul_2E2(s(tyop_2Erealax_2Ereal,c_2Ereal_2E_2F_2E2(s(tyop_2Erealax_2Ereal,c_2Ereal_2Epow_2E2(s(tyop_2Erealax_2Ereal,c_2Ereal_2Ereal__of__num_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2ENUMERAL_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EBIT2_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EZERO_2E0))))))),s(tyop_2Enum_2Enum,c_2Earithmetic_2ENUMERAL_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EBIT2_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EBIT2_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EBIT2_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EBIT2_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EZERO_2E0))))))))))))),s(tyop_2Erealax_2Ereal,c_2Ereal_2Epow_2E2(s(tyop_2Erealax_2Ereal,c_2Ereal_2Ereal__of__num_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2ENUMERAL_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EBIT2_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EZERO_2E0))))))),s(tyop_2Enum_2Enum,c_2Earithmetic_2ENUMERAL_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EBIT1_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EBIT1_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EBIT1_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EBIT1_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EZERO_2E0))))))))))))))),s(tyop_2Erealax_2Ereal,c_2Ereal_2Ereal__sub_2E2(s(tyop_2Erealax_2Ereal,c_2Ereal_2Ereal__of__num_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2ENUMERAL_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EBIT2_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EZERO_2E0))))))),s(tyop_2Erealax_2Ereal,c_2Ereal_2E_2F_2E2(s(tyop_2Erealax_2Ereal,c_2Ereal_2Ereal__of__num_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2ENUMERAL_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EBIT1_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EZERO_2E0))))))),s(tyop_2Erealax_2Ereal,c_2Ereal_2Epow_2E2(s(tyop_2Erealax_2Ereal,c_2Ereal_2Ereal__of__num_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2ENUMERAL_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EBIT2_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EZERO_2E0))))))),s(tyop_2Enum_2Enum,c_2Earithmetic_2ENUMERAL_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EBIT1_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EBIT1_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EBIT2_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EZERO_2E0)))))))))))))))))))))) )
     => ( p(s(tyop_2Emin_2Ebool,c_2Emachine__ieee_2Efp16__isFinite_2E1(s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Eone_2Eone))))),c_2Emachine__ieee_2Efp16__mul__add_2E4(s(tyop_2Ebinary__ieee_2Erounding,c_2Ebinary__ieee_2EroundTiesToEven_2E0),s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Eone_2Eone))))),V0a_2E0),s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Eone_2Eone))))),V1b_2E0),s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Eone_2Eone))))),V2c_2E0))))))
        & ? [V3e_2E0] :
            ( p(s(tyop_2Emin_2Ebool,c_2Ereal_2Ereal__lte_2E2(s(tyop_2Erealax_2Ereal,c_2Ereal_2Eabs_2E1(s(tyop_2Erealax_2Ereal,V3e_2E0))),s(tyop_2Erealax_2Ereal,c_2Ereal_2E_2F_2E2(s(tyop_2Erealax_2Ereal,c_2Ereal_2Ereal__of__num_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2ENUMERAL_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EBIT1_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EZERO_2E0))))))),s(tyop_2Erealax_2Ereal,c_2Ereal_2Epow_2E2(s(tyop_2Erealax_2Ereal,c_2Ereal_2Ereal__of__num_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2ENUMERAL_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EBIT2_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EZERO_2E0))))))),s(tyop_2Enum_2Enum,c_2Earithmetic_2ENUMERAL_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EBIT1_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EBIT1_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EBIT2_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EZERO_2E0))))))))))))))))
            & s(tyop_2Erealax_2Ereal,c_2Emachine__ieee_2Efp16__to__real_2E1(s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Eone_2Eone))))),c_2Emachine__ieee_2Efp16__mul__add_2E4(s(tyop_2Ebinary__ieee_2Erounding,c_2Ebinary__ieee_2EroundTiesToEven_2E0),s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Eone_2Eone))))),V0a_2E0),s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Eone_2Eone))))),V1b_2E0),s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Eone_2Eone))))),V2c_2E0))))) = s(tyop_2Erealax_2Ereal,c_2Erealax_2Ereal__mul_2E2(s(tyop_2Erealax_2Ereal,c_2Erealax_2Ereal__add_2E2(s(tyop_2Erealax_2Ereal,c_2Erealax_2Ereal__mul_2E2(s(tyop_2Erealax_2Ereal,c_2Emachine__ieee_2Efp16__to__real_2E1(s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Eone_2Eone))))),V0a_2E0))),s(tyop_2Erealax_2Ereal,c_2Emachine__ieee_2Efp16__to__real_2E1(s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Eone_2Eone))))),V1b_2E0))))),s(tyop_2Erealax_2Ereal,c_2Emachine__ieee_2Efp16__to__real_2E1(s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Eone_2Eone))))),V2c_2E0))))),s(tyop_2Erealax_2Ereal,c_2Erealax_2Ereal__add_2E2(s(tyop_2Erealax_2Ereal,c_2Ereal_2Ereal__of__num_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2ENUMERAL_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EBIT1_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EZERO_2E0))))))),s(tyop_2Erealax_2Ereal,V3e_2E0))))) ) ) ) ).

fof(thm_2Elift__machine__ieee_2Efp16__float__mul__sub__relative,axiom,
    ! [V0a_2E0,V1b_2E0,V2c_2E0] :
      ( ( p(s(tyop_2Emin_2Ebool,c_2Emachine__ieee_2Efp16__isFinite_2E1(s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Eone_2Eone))))),V0a_2E0))))
        & p(s(tyop_2Emin_2Ebool,c_2Emachine__ieee_2Efp16__isFinite_2E1(s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Eone_2Eone))))),V1b_2E0))))
        & p(s(tyop_2Emin_2Ebool,c_2Emachine__ieee_2Efp16__isFinite_2E1(s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Eone_2Eone))))),V2c_2E0))))
        & p(s(tyop_2Emin_2Ebool,c_2Ebool_2EIN_2E2(s(tyop_2Erealax_2Ereal,c_2Ereal_2Eabs_2E1(s(tyop_2Erealax_2Ereal,c_2Ereal_2Ereal__sub_2E2(s(tyop_2Erealax_2Ereal,c_2Erealax_2Ereal__mul_2E2(s(tyop_2Erealax_2Ereal,c_2Emachine__ieee_2Efp16__to__real_2E1(s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Eone_2Eone))))),V0a_2E0))),s(tyop_2Erealax_2Ereal,c_2Emachine__ieee_2Efp16__to__real_2E1(s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Eone_2Eone))))),V1b_2E0))))),s(tyop_2Erealax_2Ereal,c_2Emachine__ieee_2Efp16__to__real_2E1(s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Eone_2Eone))))),V2c_2E0))))))),s(tyop_2Emin_2Efun(tyop_2Erealax_2Ereal,tyop_2Emin_2Ebool),c_2Elift__machine__ieee_2Einterval_2E2(s(tyop_2Erealax_2Ereal,c_2Ereal_2E_2F_2E2(s(tyop_2Erealax_2Ereal,c_2Ereal_2Ereal__of__num_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2ENUMERAL_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EBIT1_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EZERO_2E0))))))),s(tyop_2Erealax_2Ereal,c_2Ereal_2Epow_2E2(s(tyop_2Erealax_2Ereal,c_2Ereal_2Ereal__of__num_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2ENUMERAL_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EBIT2_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EZERO_2E0))))))),s(tyop_2Enum_2Enum,c_2Earithmetic_2ENUMERAL_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EBIT2_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EBIT2_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EBIT2_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EZERO_2E0))))))))))))),s(tyop_2Erealax_2Ereal,c_2Erealax_2Ereal__mul_2E2(s(tyop_2Erealax_2Ereal,c_2Ereal_2E_2F_2E2(s(tyop_2Erealax_2Ereal,c_2Ereal_2Epow_2E2(s(tyop_2Erealax_2Ereal,c_2Ereal_2Ereal__of__num_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2ENUMERAL_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EBIT2_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EZERO_2E0))))))),s(tyop_2Enum_2Enum,c_2Earithmetic_2ENUMERAL_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EBIT2_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EBIT2_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EBIT2_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EBIT2_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EZERO_2E0))))))))))))),s(tyop_2Erealax_2Ereal,c_2Ereal_2Epow_2E2(s(tyop_2Erealax_2Ereal,c_2Ereal_2Ereal__of__num_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2ENUMERAL_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EBIT2_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EZERO_2E0))))))),s(tyop_2Enum_2Enum,c_2Earithmetic_2ENUMERAL_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EBIT1_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EBIT1_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EBIT1_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EBIT1_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EZERO_2E0))))))))))))))),s(tyop_2Erealax_2Ereal,c_2Ereal_2Ereal__sub_2E2(s(tyop_2Erealax_2Ereal,c_2Ereal_2Ereal__of__num_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2ENUMERAL_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EBIT2_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EZERO_2E0))))))),s(tyop_2Erealax_2Ereal,c_2Ereal_2E_2F_2E2(s(tyop_2Erealax_2Ereal,c_2Ereal_2Ereal__of__num_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2ENUMERAL_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EBIT1_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EZERO_2E0))))))),s(tyop_2Erealax_2Ereal,c_2Ereal_2Epow_2E2(s(tyop_2Erealax_2Ereal,c_2Ereal_2Ereal__of__num_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2ENUMERAL_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EBIT2_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EZERO_2E0))))))),s(tyop_2Enum_2Enum,c_2Earithmetic_2ENUMERAL_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EBIT1_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EBIT1_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EBIT2_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EZERO_2E0)))))))))))))))))))))) )
     => ( p(s(tyop_2Emin_2Ebool,c_2Emachine__ieee_2Efp16__isFinite_2E1(s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Eone_2Eone))))),c_2Emachine__ieee_2Efp16__mul__sub_2E4(s(tyop_2Ebinary__ieee_2Erounding,c_2Ebinary__ieee_2EroundTiesToEven_2E0),s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Eone_2Eone))))),V0a_2E0),s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Eone_2Eone))))),V1b_2E0),s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Eone_2Eone))))),V2c_2E0))))))
        & ? [V3e_2E0] :
            ( p(s(tyop_2Emin_2Ebool,c_2Ereal_2Ereal__lte_2E2(s(tyop_2Erealax_2Ereal,c_2Ereal_2Eabs_2E1(s(tyop_2Erealax_2Ereal,V3e_2E0))),s(tyop_2Erealax_2Ereal,c_2Ereal_2E_2F_2E2(s(tyop_2Erealax_2Ereal,c_2Ereal_2Ereal__of__num_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2ENUMERAL_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EBIT1_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EZERO_2E0))))))),s(tyop_2Erealax_2Ereal,c_2Ereal_2Epow_2E2(s(tyop_2Erealax_2Ereal,c_2Ereal_2Ereal__of__num_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2ENUMERAL_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EBIT2_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EZERO_2E0))))))),s(tyop_2Enum_2Enum,c_2Earithmetic_2ENUMERAL_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EBIT1_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EBIT1_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EBIT2_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EZERO_2E0))))))))))))))))
            & s(tyop_2Erealax_2Ereal,c_2Emachine__ieee_2Efp16__to__real_2E1(s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Eone_2Eone))))),c_2Emachine__ieee_2Efp16__mul__sub_2E4(s(tyop_2Ebinary__ieee_2Erounding,c_2Ebinary__ieee_2EroundTiesToEven_2E0),s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Eone_2Eone))))),V0a_2E0),s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Eone_2Eone))))),V1b_2E0),s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Eone_2Eone))))),V2c_2E0))))) = s(tyop_2Erealax_2Ereal,c_2Erealax_2Ereal__mul_2E2(s(tyop_2Erealax_2Ereal,c_2Ereal_2Ereal__sub_2E2(s(tyop_2Erealax_2Ereal,c_2Erealax_2Ereal__mul_2E2(s(tyop_2Erealax_2Ereal,c_2Emachine__ieee_2Efp16__to__real_2E1(s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Eone_2Eone))))),V0a_2E0))),s(tyop_2Erealax_2Ereal,c_2Emachine__ieee_2Efp16__to__real_2E1(s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Eone_2Eone))))),V1b_2E0))))),s(tyop_2Erealax_2Ereal,c_2Emachine__ieee_2Efp16__to__real_2E1(s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Eone_2Eone))))),V2c_2E0))))),s(tyop_2Erealax_2Ereal,c_2Erealax_2Ereal__add_2E2(s(tyop_2Erealax_2Ereal,c_2Ereal_2Ereal__of__num_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2ENUMERAL_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EBIT1_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EZERO_2E0))))))),s(tyop_2Erealax_2Ereal,V3e_2E0))))) ) ) ) ).

fof(thm_2Elift__machine__ieee_2Efp16__float__div__relative,axiom,
    ! [V0a_2E0,V1b_2E0] :
      ( ( p(s(tyop_2Emin_2Ebool,c_2Emachine__ieee_2Efp16__isFinite_2E1(s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Eone_2Eone))))),V0a_2E0))))
        & p(s(tyop_2Emin_2Ebool,c_2Emachine__ieee_2Efp16__isFinite_2E1(s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Eone_2Eone))))),V1b_2E0))))
        & ~ p(s(tyop_2Emin_2Ebool,c_2Emachine__ieee_2Efp16__isZero_2E1(s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Eone_2Eone))))),V1b_2E0))))
        & p(s(tyop_2Emin_2Ebool,c_2Ebool_2EIN_2E2(s(tyop_2Erealax_2Ereal,c_2Ereal_2Eabs_2E1(s(tyop_2Erealax_2Ereal,c_2Ereal_2E_2F_2E2(s(tyop_2Erealax_2Ereal,c_2Emachine__ieee_2Efp16__to__real_2E1(s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Eone_2Eone))))),V0a_2E0))),s(tyop_2Erealax_2Ereal,c_2Emachine__ieee_2Efp16__to__real_2E1(s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Eone_2Eone))))),V1b_2E0))))))),s(tyop_2Emin_2Efun(tyop_2Erealax_2Ereal,tyop_2Emin_2Ebool),c_2Elift__machine__ieee_2Einterval_2E2(s(tyop_2Erealax_2Ereal,c_2Ereal_2E_2F_2E2(s(tyop_2Erealax_2Ereal,c_2Ereal_2Ereal__of__num_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2ENUMERAL_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EBIT1_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EZERO_2E0))))))),s(tyop_2Erealax_2Ereal,c_2Ereal_2Epow_2E2(s(tyop_2Erealax_2Ereal,c_2Ereal_2Ereal__of__num_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2ENUMERAL_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EBIT2_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EZERO_2E0))))))),s(tyop_2Enum_2Enum,c_2Earithmetic_2ENUMERAL_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EBIT2_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EBIT2_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EBIT2_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EZERO_2E0))))))))))))),s(tyop_2Erealax_2Ereal,c_2Erealax_2Ereal__mul_2E2(s(tyop_2Erealax_2Ereal,c_2Ereal_2E_2F_2E2(s(tyop_2Erealax_2Ereal,c_2Ereal_2Epow_2E2(s(tyop_2Erealax_2Ereal,c_2Ereal_2Ereal__of__num_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2ENUMERAL_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EBIT2_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EZERO_2E0))))))),s(tyop_2Enum_2Enum,c_2Earithmetic_2ENUMERAL_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EBIT2_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EBIT2_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EBIT2_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EBIT2_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EZERO_2E0))))))))))))),s(tyop_2Erealax_2Ereal,c_2Ereal_2Epow_2E2(s(tyop_2Erealax_2Ereal,c_2Ereal_2Ereal__of__num_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2ENUMERAL_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EBIT2_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EZERO_2E0))))))),s(tyop_2Enum_2Enum,c_2Earithmetic_2ENUMERAL_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EBIT1_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EBIT1_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EBIT1_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EBIT1_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EZERO_2E0))))))))))))))),s(tyop_2Erealax_2Ereal,c_2Ereal_2Ereal__sub_2E2(s(tyop_2Erealax_2Ereal,c_2Ereal_2Ereal__of__num_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2ENUMERAL_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EBIT2_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EZERO_2E0))))))),s(tyop_2Erealax_2Ereal,c_2Ereal_2E_2F_2E2(s(tyop_2Erealax_2Ereal,c_2Ereal_2Ereal__of__num_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2ENUMERAL_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EBIT1_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EZERO_2E0))))))),s(tyop_2Erealax_2Ereal,c_2Ereal_2Epow_2E2(s(tyop_2Erealax_2Ereal,c_2Ereal_2Ereal__of__num_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2ENUMERAL_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EBIT2_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EZERO_2E0))))))),s(tyop_2Enum_2Enum,c_2Earithmetic_2ENUMERAL_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EBIT1_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EBIT1_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EBIT2_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EZERO_2E0)))))))))))))))))))))) )
     => ( p(s(tyop_2Emin_2Ebool,c_2Emachine__ieee_2Efp16__isFinite_2E1(s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Eone_2Eone))))),c_2Emachine__ieee_2Efp16__div_2E3(s(tyop_2Ebinary__ieee_2Erounding,c_2Ebinary__ieee_2EroundTiesToEven_2E0),s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Eone_2Eone))))),V0a_2E0),s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Eone_2Eone))))),V1b_2E0))))))
        & ? [V2e_2E0] :
            ( p(s(tyop_2Emin_2Ebool,c_2Ereal_2Ereal__lte_2E2(s(tyop_2Erealax_2Ereal,c_2Ereal_2Eabs_2E1(s(tyop_2Erealax_2Ereal,V2e_2E0))),s(tyop_2Erealax_2Ereal,c_2Ereal_2E_2F_2E2(s(tyop_2Erealax_2Ereal,c_2Ereal_2Ereal__of__num_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2ENUMERAL_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EBIT1_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EZERO_2E0))))))),s(tyop_2Erealax_2Ereal,c_2Ereal_2Epow_2E2(s(tyop_2Erealax_2Ereal,c_2Ereal_2Ereal__of__num_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2ENUMERAL_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EBIT2_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EZERO_2E0))))))),s(tyop_2Enum_2Enum,c_2Earithmetic_2ENUMERAL_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EBIT1_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EBIT1_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EBIT2_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EZERO_2E0))))))))))))))))
            & s(tyop_2Erealax_2Ereal,c_2Emachine__ieee_2Efp16__to__real_2E1(s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Eone_2Eone))))),c_2Emachine__ieee_2Efp16__div_2E3(s(tyop_2Ebinary__ieee_2Erounding,c_2Ebinary__ieee_2EroundTiesToEven_2E0),s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Eone_2Eone))))),V0a_2E0),s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Eone_2Eone))))),V1b_2E0))))) = s(tyop_2Erealax_2Ereal,c_2Erealax_2Ereal__mul_2E2(s(tyop_2Erealax_2Ereal,c_2Ereal_2E_2F_2E2(s(tyop_2Erealax_2Ereal,c_2Emachine__ieee_2Efp16__to__real_2E1(s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Eone_2Eone))))),V0a_2E0))),s(tyop_2Erealax_2Ereal,c_2Emachine__ieee_2Efp16__to__real_2E1(s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Eone_2Eone))))),V1b_2E0))))),s(tyop_2Erealax_2Ereal,c_2Erealax_2Ereal__add_2E2(s(tyop_2Erealax_2Ereal,c_2Ereal_2Ereal__of__num_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2ENUMERAL_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EBIT1_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EZERO_2E0))))))),s(tyop_2Erealax_2Ereal,V2e_2E0))))) ) ) ) ).

fof(thm_2Elift__machine__ieee_2Efp16__float__sqrt__relative,axiom,
    ! [V0a_2E0] :
      ( ( p(s(tyop_2Emin_2Ebool,c_2Emachine__ieee_2Efp16__isFinite_2E1(s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Eone_2Eone))))),V0a_2E0))))
        & ~ p(s(tyop_2Emin_2Ebool,c_2Ewords_2Eword__msb_2E1(s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Eone_2Eone))))),V0a_2E0))))
        & p(s(tyop_2Emin_2Ebool,c_2Ebool_2EIN_2E2(s(tyop_2Erealax_2Ereal,c_2Ereal_2Eabs_2E1(s(tyop_2Erealax_2Ereal,c_2Etransc_2Esqrt_2E1(s(tyop_2Erealax_2Ereal,c_2Emachine__ieee_2Efp16__to__real_2E1(s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Eone_2Eone))))),V0a_2E0))))))),s(tyop_2Emin_2Efun(tyop_2Erealax_2Ereal,tyop_2Emin_2Ebool),c_2Elift__machine__ieee_2Einterval_2E2(s(tyop_2Erealax_2Ereal,c_2Ereal_2E_2F_2E2(s(tyop_2Erealax_2Ereal,c_2Ereal_2Ereal__of__num_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2ENUMERAL_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EBIT1_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EZERO_2E0))))))),s(tyop_2Erealax_2Ereal,c_2Ereal_2Epow_2E2(s(tyop_2Erealax_2Ereal,c_2Ereal_2Ereal__of__num_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2ENUMERAL_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EBIT2_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EZERO_2E0))))))),s(tyop_2Enum_2Enum,c_2Earithmetic_2ENUMERAL_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EBIT2_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EBIT2_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EBIT2_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EZERO_2E0))))))))))))),s(tyop_2Erealax_2Ereal,c_2Erealax_2Ereal__mul_2E2(s(tyop_2Erealax_2Ereal,c_2Ereal_2E_2F_2E2(s(tyop_2Erealax_2Ereal,c_2Ereal_2Epow_2E2(s(tyop_2Erealax_2Ereal,c_2Ereal_2Ereal__of__num_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2ENUMERAL_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EBIT2_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EZERO_2E0))))))),s(tyop_2Enum_2Enum,c_2Earithmetic_2ENUMERAL_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EBIT2_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EBIT2_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EBIT2_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EBIT2_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EZERO_2E0))))))))))))),s(tyop_2Erealax_2Ereal,c_2Ereal_2Epow_2E2(s(tyop_2Erealax_2Ereal,c_2Ereal_2Ereal__of__num_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2ENUMERAL_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EBIT2_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EZERO_2E0))))))),s(tyop_2Enum_2Enum,c_2Earithmetic_2ENUMERAL_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EBIT1_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EBIT1_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EBIT1_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EBIT1_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EZERO_2E0))))))))))))))),s(tyop_2Erealax_2Ereal,c_2Ereal_2Ereal__sub_2E2(s(tyop_2Erealax_2Ereal,c_2Ereal_2Ereal__of__num_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2ENUMERAL_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EBIT2_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EZERO_2E0))))))),s(tyop_2Erealax_2Ereal,c_2Ereal_2E_2F_2E2(s(tyop_2Erealax_2Ereal,c_2Ereal_2Ereal__of__num_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2ENUMERAL_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EBIT1_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EZERO_2E0))))))),s(tyop_2Erealax_2Ereal,c_2Ereal_2Epow_2E2(s(tyop_2Erealax_2Ereal,c_2Ereal_2Ereal__of__num_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2ENUMERAL_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EBIT2_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EZERO_2E0))))))),s(tyop_2Enum_2Enum,c_2Earithmetic_2ENUMERAL_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EBIT1_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EBIT1_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EBIT2_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EZERO_2E0)))))))))))))))))))))) )
     => ( p(s(tyop_2Emin_2Ebool,c_2Emachine__ieee_2Efp16__isFinite_2E1(s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Eone_2Eone))))),c_2Emachine__ieee_2Efp16__sqrt_2E2(s(tyop_2Ebinary__ieee_2Erounding,c_2Ebinary__ieee_2EroundTiesToEven_2E0),s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Eone_2Eone))))),V0a_2E0))))))
        & ? [V1e_2E0] :
            ( p(s(tyop_2Emin_2Ebool,c_2Ereal_2Ereal__lte_2E2(s(tyop_2Erealax_2Ereal,c_2Ereal_2Eabs_2E1(s(tyop_2Erealax_2Ereal,V1e_2E0))),s(tyop_2Erealax_2Ereal,c_2Ereal_2E_2F_2E2(s(tyop_2Erealax_2Ereal,c_2Ereal_2Ereal__of__num_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2ENUMERAL_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EBIT1_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EZERO_2E0))))))),s(tyop_2Erealax_2Ereal,c_2Ereal_2Epow_2E2(s(tyop_2Erealax_2Ereal,c_2Ereal_2Ereal__of__num_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2ENUMERAL_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EBIT2_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EZERO_2E0))))))),s(tyop_2Enum_2Enum,c_2Earithmetic_2ENUMERAL_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EBIT1_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EBIT1_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EBIT2_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EZERO_2E0))))))))))))))))
            & s(tyop_2Erealax_2Ereal,c_2Emachine__ieee_2Efp16__to__real_2E1(s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Eone_2Eone))))),c_2Emachine__ieee_2Efp16__sqrt_2E2(s(tyop_2Ebinary__ieee_2Erounding,c_2Ebinary__ieee_2EroundTiesToEven_2E0),s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Eone_2Eone))))),V0a_2E0))))) = s(tyop_2Erealax_2Ereal,c_2Erealax_2Ereal__mul_2E2(s(tyop_2Erealax_2Ereal,c_2Etransc_2Esqrt_2E1(s(tyop_2Erealax_2Ereal,c_2Emachine__ieee_2Efp16__to__real_2E1(s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Eone_2Eone))))),V0a_2E0))))),s(tyop_2Erealax_2Ereal,c_2Erealax_2Ereal__add_2E2(s(tyop_2Erealax_2Ereal,c_2Ereal_2Ereal__of__num_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2ENUMERAL_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EBIT1_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EZERO_2E0))))))),s(tyop_2Erealax_2Ereal,V1e_2E0))))) ) ) ) ).

fof(thm_2Elift__machine__ieee_2Efp32__float__add__relative,axiom,
    ! [V0a_2E0,V1b_2E0] :
      ( ( p(s(tyop_2Emin_2Ebool,c_2Emachine__ieee_2Efp32__isFinite_2E1(s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Eone_2Eone)))))),V0a_2E0))))
        & p(s(tyop_2Emin_2Ebool,c_2Emachine__ieee_2Efp32__isFinite_2E1(s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Eone_2Eone)))))),V1b_2E0))))
        & p(s(tyop_2Emin_2Ebool,c_2Ebool_2EIN_2E2(s(tyop_2Erealax_2Ereal,c_2Ereal_2Eabs_2E1(s(tyop_2Erealax_2Ereal,c_2Erealax_2Ereal__add_2E2(s(tyop_2Erealax_2Ereal,c_2Emachine__ieee_2Efp32__to__real_2E1(s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Eone_2Eone)))))),V0a_2E0))),s(tyop_2Erealax_2Ereal,c_2Emachine__ieee_2Efp32__to__real_2E1(s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Eone_2Eone)))))),V1b_2E0))))))),s(tyop_2Emin_2Efun(tyop_2Erealax_2Ereal,tyop_2Emin_2Ebool),c_2Elift__machine__ieee_2Einterval_2E2(s(tyop_2Erealax_2Ereal,c_2Ereal_2E_2F_2E2(s(tyop_2Erealax_2Ereal,c_2Ereal_2Ereal__of__num_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2ENUMERAL_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EBIT1_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EZERO_2E0))))))),s(tyop_2Erealax_2Ereal,c_2Ereal_2Epow_2E2(s(tyop_2Erealax_2Ereal,c_2Ereal_2Ereal__of__num_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2ENUMERAL_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EBIT2_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EZERO_2E0))))))),s(tyop_2Enum_2Enum,c_2Earithmetic_2ENUMERAL_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EBIT2_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EBIT2_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EBIT2_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EBIT2_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EBIT2_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EBIT2_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EZERO_2E0))))))))))))))))))),s(tyop_2Erealax_2Ereal,c_2Erealax_2Ereal__mul_2E2(s(tyop_2Erealax_2Ereal,c_2Ereal_2E_2F_2E2(s(tyop_2Erealax_2Ereal,c_2Ereal_2Epow_2E2(s(tyop_2Erealax_2Ereal,c_2Ereal_2Ereal__of__num_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2ENUMERAL_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EBIT2_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EZERO_2E0))))))),s(tyop_2Enum_2Enum,c_2Earithmetic_2ENUMERAL_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EBIT2_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EBIT2_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EBIT2_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EBIT2_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EBIT2_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EBIT2_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EBIT2_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EZERO_2E0))))))))))))))))))),s(tyop_2Erealax_2Ereal,c_2Ereal_2Epow_2E2(s(tyop_2Erealax_2Ereal,c_2Ereal_2Ereal__of__num_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2ENUMERAL_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EBIT2_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EZERO_2E0))))))),s(tyop_2Enum_2Enum,c_2Earithmetic_2ENUMERAL_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EBIT1_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EBIT1_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EBIT1_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EBIT1_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EBIT1_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EBIT1_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EBIT1_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EZERO_2E0))))))))))))))))))))),s(tyop_2Erealax_2Ereal,c_2Ereal_2Ereal__sub_2E2(s(tyop_2Erealax_2Ereal,c_2Ereal_2Ereal__of__num_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2ENUMERAL_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EBIT2_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EZERO_2E0))))))),s(tyop_2Erealax_2Ereal,c_2Ereal_2E_2F_2E2(s(tyop_2Erealax_2Ereal,c_2Ereal_2Ereal__of__num_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2ENUMERAL_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EBIT1_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EZERO_2E0))))))),s(tyop_2Erealax_2Ereal,c_2Ereal_2Epow_2E2(s(tyop_2Erealax_2Ereal,c_2Ereal_2Ereal__of__num_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2ENUMERAL_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EBIT2_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EZERO_2E0))))))),s(tyop_2Enum_2Enum,c_2Earithmetic_2ENUMERAL_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EBIT2_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EBIT1_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EBIT1_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EBIT2_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EZERO_2E0)))))))))))))))))))))))) )
     => ( p(s(tyop_2Emin_2Ebool,c_2Emachine__ieee_2Efp32__isFinite_2E1(s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Eone_2Eone)))))),c_2Emachine__ieee_2Efp32__add_2E3(s(tyop_2Ebinary__ieee_2Erounding,c_2Ebinary__ieee_2EroundTiesToEven_2E0),s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Eone_2Eone)))))),V0a_2E0),s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Eone_2Eone)))))),V1b_2E0))))))
        & ? [V2e_2E0] :
            ( p(s(tyop_2Emin_2Ebool,c_2Ereal_2Ereal__lte_2E2(s(tyop_2Erealax_2Ereal,c_2Ereal_2Eabs_2E1(s(tyop_2Erealax_2Ereal,V2e_2E0))),s(tyop_2Erealax_2Ereal,c_2Ereal_2E_2F_2E2(s(tyop_2Erealax_2Ereal,c_2Ereal_2Ereal__of__num_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2ENUMERAL_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EBIT1_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EZERO_2E0))))))),s(tyop_2Erealax_2Ereal,c_2Ereal_2Epow_2E2(s(tyop_2Erealax_2Ereal,c_2Ereal_2Ereal__of__num_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2ENUMERAL_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EBIT2_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EZERO_2E0))))))),s(tyop_2Enum_2Enum,c_2Earithmetic_2ENUMERAL_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EBIT2_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EBIT1_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EBIT1_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EBIT2_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EZERO_2E0))))))))))))))))))
            & s(tyop_2Erealax_2Ereal,c_2Emachine__ieee_2Efp32__to__real_2E1(s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Eone_2Eone)))))),c_2Emachine__ieee_2Efp32__add_2E3(s(tyop_2Ebinary__ieee_2Erounding,c_2Ebinary__ieee_2EroundTiesToEven_2E0),s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Eone_2Eone)))))),V0a_2E0),s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Eone_2Eone)))))),V1b_2E0))))) = s(tyop_2Erealax_2Ereal,c_2Erealax_2Ereal__mul_2E2(s(tyop_2Erealax_2Ereal,c_2Erealax_2Ereal__add_2E2(s(tyop_2Erealax_2Ereal,c_2Emachine__ieee_2Efp32__to__real_2E1(s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Eone_2Eone)))))),V0a_2E0))),s(tyop_2Erealax_2Ereal,c_2Emachine__ieee_2Efp32__to__real_2E1(s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Eone_2Eone)))))),V1b_2E0))))),s(tyop_2Erealax_2Ereal,c_2Erealax_2Ereal__add_2E2(s(tyop_2Erealax_2Ereal,c_2Ereal_2Ereal__of__num_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2ENUMERAL_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EBIT1_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EZERO_2E0))))))),s(tyop_2Erealax_2Ereal,V2e_2E0))))) ) ) ) ).

fof(thm_2Elift__machine__ieee_2Efp32__float__sub__relative,axiom,
    ! [V0a_2E0,V1b_2E0] :
      ( ( p(s(tyop_2Emin_2Ebool,c_2Emachine__ieee_2Efp32__isFinite_2E1(s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Eone_2Eone)))))),V0a_2E0))))
        & p(s(tyop_2Emin_2Ebool,c_2Emachine__ieee_2Efp32__isFinite_2E1(s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Eone_2Eone)))))),V1b_2E0))))
        & p(s(tyop_2Emin_2Ebool,c_2Ebool_2EIN_2E2(s(tyop_2Erealax_2Ereal,c_2Ereal_2Eabs_2E1(s(tyop_2Erealax_2Ereal,c_2Ereal_2Ereal__sub_2E2(s(tyop_2Erealax_2Ereal,c_2Emachine__ieee_2Efp32__to__real_2E1(s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Eone_2Eone)))))),V0a_2E0))),s(tyop_2Erealax_2Ereal,c_2Emachine__ieee_2Efp32__to__real_2E1(s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Eone_2Eone)))))),V1b_2E0))))))),s(tyop_2Emin_2Efun(tyop_2Erealax_2Ereal,tyop_2Emin_2Ebool),c_2Elift__machine__ieee_2Einterval_2E2(s(tyop_2Erealax_2Ereal,c_2Ereal_2E_2F_2E2(s(tyop_2Erealax_2Ereal,c_2Ereal_2Ereal__of__num_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2ENUMERAL_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EBIT1_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EZERO_2E0))))))),s(tyop_2Erealax_2Ereal,c_2Ereal_2Epow_2E2(s(tyop_2Erealax_2Ereal,c_2Ereal_2Ereal__of__num_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2ENUMERAL_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EBIT2_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EZERO_2E0))))))),s(tyop_2Enum_2Enum,c_2Earithmetic_2ENUMERAL_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EBIT2_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EBIT2_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EBIT2_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EBIT2_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EBIT2_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EBIT2_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EZERO_2E0))))))))))))))))))),s(tyop_2Erealax_2Ereal,c_2Erealax_2Ereal__mul_2E2(s(tyop_2Erealax_2Ereal,c_2Ereal_2E_2F_2E2(s(tyop_2Erealax_2Ereal,c_2Ereal_2Epow_2E2(s(tyop_2Erealax_2Ereal,c_2Ereal_2Ereal__of__num_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2ENUMERAL_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EBIT2_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EZERO_2E0))))))),s(tyop_2Enum_2Enum,c_2Earithmetic_2ENUMERAL_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EBIT2_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EBIT2_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EBIT2_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EBIT2_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EBIT2_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EBIT2_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EBIT2_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EZERO_2E0))))))))))))))))))),s(tyop_2Erealax_2Ereal,c_2Ereal_2Epow_2E2(s(tyop_2Erealax_2Ereal,c_2Ereal_2Ereal__of__num_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2ENUMERAL_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EBIT2_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EZERO_2E0))))))),s(tyop_2Enum_2Enum,c_2Earithmetic_2ENUMERAL_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EBIT1_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EBIT1_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EBIT1_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EBIT1_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EBIT1_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EBIT1_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EBIT1_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EZERO_2E0))))))))))))))))))))),s(tyop_2Erealax_2Ereal,c_2Ereal_2Ereal__sub_2E2(s(tyop_2Erealax_2Ereal,c_2Ereal_2Ereal__of__num_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2ENUMERAL_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EBIT2_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EZERO_2E0))))))),s(tyop_2Erealax_2Ereal,c_2Ereal_2E_2F_2E2(s(tyop_2Erealax_2Ereal,c_2Ereal_2Ereal__of__num_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2ENUMERAL_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EBIT1_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EZERO_2E0))))))),s(tyop_2Erealax_2Ereal,c_2Ereal_2Epow_2E2(s(tyop_2Erealax_2Ereal,c_2Ereal_2Ereal__of__num_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2ENUMERAL_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EBIT2_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EZERO_2E0))))))),s(tyop_2Enum_2Enum,c_2Earithmetic_2ENUMERAL_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EBIT2_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EBIT1_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EBIT1_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EBIT2_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EZERO_2E0)))))))))))))))))))))))) )
     => ( p(s(tyop_2Emin_2Ebool,c_2Emachine__ieee_2Efp32__isFinite_2E1(s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Eone_2Eone)))))),c_2Emachine__ieee_2Efp32__sub_2E3(s(tyop_2Ebinary__ieee_2Erounding,c_2Ebinary__ieee_2EroundTiesToEven_2E0),s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Eone_2Eone)))))),V0a_2E0),s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Eone_2Eone)))))),V1b_2E0))))))
        & ? [V2e_2E0] :
            ( p(s(tyop_2Emin_2Ebool,c_2Ereal_2Ereal__lte_2E2(s(tyop_2Erealax_2Ereal,c_2Ereal_2Eabs_2E1(s(tyop_2Erealax_2Ereal,V2e_2E0))),s(tyop_2Erealax_2Ereal,c_2Ereal_2E_2F_2E2(s(tyop_2Erealax_2Ereal,c_2Ereal_2Ereal__of__num_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2ENUMERAL_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EBIT1_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EZERO_2E0))))))),s(tyop_2Erealax_2Ereal,c_2Ereal_2Epow_2E2(s(tyop_2Erealax_2Ereal,c_2Ereal_2Ereal__of__num_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2ENUMERAL_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EBIT2_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EZERO_2E0))))))),s(tyop_2Enum_2Enum,c_2Earithmetic_2ENUMERAL_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EBIT2_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EBIT1_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EBIT1_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EBIT2_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EZERO_2E0))))))))))))))))))
            & s(tyop_2Erealax_2Ereal,c_2Emachine__ieee_2Efp32__to__real_2E1(s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Eone_2Eone)))))),c_2Emachine__ieee_2Efp32__sub_2E3(s(tyop_2Ebinary__ieee_2Erounding,c_2Ebinary__ieee_2EroundTiesToEven_2E0),s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Eone_2Eone)))))),V0a_2E0),s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Eone_2Eone)))))),V1b_2E0))))) = s(tyop_2Erealax_2Ereal,c_2Erealax_2Ereal__mul_2E2(s(tyop_2Erealax_2Ereal,c_2Ereal_2Ereal__sub_2E2(s(tyop_2Erealax_2Ereal,c_2Emachine__ieee_2Efp32__to__real_2E1(s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Eone_2Eone)))))),V0a_2E0))),s(tyop_2Erealax_2Ereal,c_2Emachine__ieee_2Efp32__to__real_2E1(s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Eone_2Eone)))))),V1b_2E0))))),s(tyop_2Erealax_2Ereal,c_2Erealax_2Ereal__add_2E2(s(tyop_2Erealax_2Ereal,c_2Ereal_2Ereal__of__num_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2ENUMERAL_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EBIT1_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EZERO_2E0))))))),s(tyop_2Erealax_2Ereal,V2e_2E0))))) ) ) ) ).

fof(thm_2Elift__machine__ieee_2Efp32__float__mul__relative,axiom,
    ! [V0a_2E0,V1b_2E0] :
      ( ( p(s(tyop_2Emin_2Ebool,c_2Emachine__ieee_2Efp32__isFinite_2E1(s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Eone_2Eone)))))),V0a_2E0))))
        & p(s(tyop_2Emin_2Ebool,c_2Emachine__ieee_2Efp32__isFinite_2E1(s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Eone_2Eone)))))),V1b_2E0))))
        & p(s(tyop_2Emin_2Ebool,c_2Ebool_2EIN_2E2(s(tyop_2Erealax_2Ereal,c_2Ereal_2Eabs_2E1(s(tyop_2Erealax_2Ereal,c_2Erealax_2Ereal__mul_2E2(s(tyop_2Erealax_2Ereal,c_2Emachine__ieee_2Efp32__to__real_2E1(s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Eone_2Eone)))))),V0a_2E0))),s(tyop_2Erealax_2Ereal,c_2Emachine__ieee_2Efp32__to__real_2E1(s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Eone_2Eone)))))),V1b_2E0))))))),s(tyop_2Emin_2Efun(tyop_2Erealax_2Ereal,tyop_2Emin_2Ebool),c_2Elift__machine__ieee_2Einterval_2E2(s(tyop_2Erealax_2Ereal,c_2Ereal_2E_2F_2E2(s(tyop_2Erealax_2Ereal,c_2Ereal_2Ereal__of__num_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2ENUMERAL_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EBIT1_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EZERO_2E0))))))),s(tyop_2Erealax_2Ereal,c_2Ereal_2Epow_2E2(s(tyop_2Erealax_2Ereal,c_2Ereal_2Ereal__of__num_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2ENUMERAL_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EBIT2_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EZERO_2E0))))))),s(tyop_2Enum_2Enum,c_2Earithmetic_2ENUMERAL_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EBIT2_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EBIT2_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EBIT2_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EBIT2_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EBIT2_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EBIT2_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EZERO_2E0))))))))))))))))))),s(tyop_2Erealax_2Ereal,c_2Erealax_2Ereal__mul_2E2(s(tyop_2Erealax_2Ereal,c_2Ereal_2E_2F_2E2(s(tyop_2Erealax_2Ereal,c_2Ereal_2Epow_2E2(s(tyop_2Erealax_2Ereal,c_2Ereal_2Ereal__of__num_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2ENUMERAL_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EBIT2_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EZERO_2E0))))))),s(tyop_2Enum_2Enum,c_2Earithmetic_2ENUMERAL_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EBIT2_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EBIT2_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EBIT2_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EBIT2_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EBIT2_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EBIT2_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EBIT2_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EZERO_2E0))))))))))))))))))),s(tyop_2Erealax_2Ereal,c_2Ereal_2Epow_2E2(s(tyop_2Erealax_2Ereal,c_2Ereal_2Ereal__of__num_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2ENUMERAL_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EBIT2_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EZERO_2E0))))))),s(tyop_2Enum_2Enum,c_2Earithmetic_2ENUMERAL_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EBIT1_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EBIT1_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EBIT1_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EBIT1_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EBIT1_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EBIT1_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EBIT1_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EZERO_2E0))))))))))))))))))))),s(tyop_2Erealax_2Ereal,c_2Ereal_2Ereal__sub_2E2(s(tyop_2Erealax_2Ereal,c_2Ereal_2Ereal__of__num_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2ENUMERAL_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EBIT2_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EZERO_2E0))))))),s(tyop_2Erealax_2Ereal,c_2Ereal_2E_2F_2E2(s(tyop_2Erealax_2Ereal,c_2Ereal_2Ereal__of__num_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2ENUMERAL_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EBIT1_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EZERO_2E0))))))),s(tyop_2Erealax_2Ereal,c_2Ereal_2Epow_2E2(s(tyop_2Erealax_2Ereal,c_2Ereal_2Ereal__of__num_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2ENUMERAL_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EBIT2_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EZERO_2E0))))))),s(tyop_2Enum_2Enum,c_2Earithmetic_2ENUMERAL_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EBIT2_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EBIT1_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EBIT1_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EBIT2_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EZERO_2E0)))))))))))))))))))))))) )
     => ( p(s(tyop_2Emin_2Ebool,c_2Emachine__ieee_2Efp32__isFinite_2E1(s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Eone_2Eone)))))),c_2Emachine__ieee_2Efp32__mul_2E3(s(tyop_2Ebinary__ieee_2Erounding,c_2Ebinary__ieee_2EroundTiesToEven_2E0),s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Eone_2Eone)))))),V0a_2E0),s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Eone_2Eone)))))),V1b_2E0))))))
        & ? [V2e_2E0] :
            ( p(s(tyop_2Emin_2Ebool,c_2Ereal_2Ereal__lte_2E2(s(tyop_2Erealax_2Ereal,c_2Ereal_2Eabs_2E1(s(tyop_2Erealax_2Ereal,V2e_2E0))),s(tyop_2Erealax_2Ereal,c_2Ereal_2E_2F_2E2(s(tyop_2Erealax_2Ereal,c_2Ereal_2Ereal__of__num_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2ENUMERAL_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EBIT1_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EZERO_2E0))))))),s(tyop_2Erealax_2Ereal,c_2Ereal_2Epow_2E2(s(tyop_2Erealax_2Ereal,c_2Ereal_2Ereal__of__num_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2ENUMERAL_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EBIT2_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EZERO_2E0))))))),s(tyop_2Enum_2Enum,c_2Earithmetic_2ENUMERAL_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EBIT2_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EBIT1_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EBIT1_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EBIT2_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EZERO_2E0))))))))))))))))))
            & s(tyop_2Erealax_2Ereal,c_2Emachine__ieee_2Efp32__to__real_2E1(s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Eone_2Eone)))))),c_2Emachine__ieee_2Efp32__mul_2E3(s(tyop_2Ebinary__ieee_2Erounding,c_2Ebinary__ieee_2EroundTiesToEven_2E0),s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Eone_2Eone)))))),V0a_2E0),s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Eone_2Eone)))))),V1b_2E0))))) = s(tyop_2Erealax_2Ereal,c_2Erealax_2Ereal__mul_2E2(s(tyop_2Erealax_2Ereal,c_2Erealax_2Ereal__mul_2E2(s(tyop_2Erealax_2Ereal,c_2Emachine__ieee_2Efp32__to__real_2E1(s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Eone_2Eone)))))),V0a_2E0))),s(tyop_2Erealax_2Ereal,c_2Emachine__ieee_2Efp32__to__real_2E1(s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Eone_2Eone)))))),V1b_2E0))))),s(tyop_2Erealax_2Ereal,c_2Erealax_2Ereal__add_2E2(s(tyop_2Erealax_2Ereal,c_2Ereal_2Ereal__of__num_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2ENUMERAL_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EBIT1_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EZERO_2E0))))))),s(tyop_2Erealax_2Ereal,V2e_2E0))))) ) ) ) ).

fof(thm_2Elift__machine__ieee_2Efp32__float__mul__add__relative,axiom,
    ! [V0a_2E0,V1b_2E0,V2c_2E0] :
      ( ( p(s(tyop_2Emin_2Ebool,c_2Emachine__ieee_2Efp32__isFinite_2E1(s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Eone_2Eone)))))),V0a_2E0))))
        & p(s(tyop_2Emin_2Ebool,c_2Emachine__ieee_2Efp32__isFinite_2E1(s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Eone_2Eone)))))),V1b_2E0))))
        & p(s(tyop_2Emin_2Ebool,c_2Emachine__ieee_2Efp32__isFinite_2E1(s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Eone_2Eone)))))),V2c_2E0))))
        & p(s(tyop_2Emin_2Ebool,c_2Ebool_2EIN_2E2(s(tyop_2Erealax_2Ereal,c_2Ereal_2Eabs_2E1(s(tyop_2Erealax_2Ereal,c_2Erealax_2Ereal__add_2E2(s(tyop_2Erealax_2Ereal,c_2Erealax_2Ereal__mul_2E2(s(tyop_2Erealax_2Ereal,c_2Emachine__ieee_2Efp32__to__real_2E1(s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Eone_2Eone)))))),V0a_2E0))),s(tyop_2Erealax_2Ereal,c_2Emachine__ieee_2Efp32__to__real_2E1(s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Eone_2Eone)))))),V1b_2E0))))),s(tyop_2Erealax_2Ereal,c_2Emachine__ieee_2Efp32__to__real_2E1(s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Eone_2Eone)))))),V2c_2E0))))))),s(tyop_2Emin_2Efun(tyop_2Erealax_2Ereal,tyop_2Emin_2Ebool),c_2Elift__machine__ieee_2Einterval_2E2(s(tyop_2Erealax_2Ereal,c_2Ereal_2E_2F_2E2(s(tyop_2Erealax_2Ereal,c_2Ereal_2Ereal__of__num_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2ENUMERAL_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EBIT1_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EZERO_2E0))))))),s(tyop_2Erealax_2Ereal,c_2Ereal_2Epow_2E2(s(tyop_2Erealax_2Ereal,c_2Ereal_2Ereal__of__num_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2ENUMERAL_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EBIT2_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EZERO_2E0))))))),s(tyop_2Enum_2Enum,c_2Earithmetic_2ENUMERAL_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EBIT2_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EBIT2_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EBIT2_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EBIT2_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EBIT2_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EBIT2_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EZERO_2E0))))))))))))))))))),s(tyop_2Erealax_2Ereal,c_2Erealax_2Ereal__mul_2E2(s(tyop_2Erealax_2Ereal,c_2Ereal_2E_2F_2E2(s(tyop_2Erealax_2Ereal,c_2Ereal_2Epow_2E2(s(tyop_2Erealax_2Ereal,c_2Ereal_2Ereal__of__num_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2ENUMERAL_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EBIT2_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EZERO_2E0))))))),s(tyop_2Enum_2Enum,c_2Earithmetic_2ENUMERAL_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EBIT2_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EBIT2_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EBIT2_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EBIT2_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EBIT2_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EBIT2_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EBIT2_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EZERO_2E0))))))))))))))))))),s(tyop_2Erealax_2Ereal,c_2Ereal_2Epow_2E2(s(tyop_2Erealax_2Ereal,c_2Ereal_2Ereal__of__num_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2ENUMERAL_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EBIT2_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EZERO_2E0))))))),s(tyop_2Enum_2Enum,c_2Earithmetic_2ENUMERAL_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EBIT1_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EBIT1_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EBIT1_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EBIT1_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EBIT1_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EBIT1_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EBIT1_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EZERO_2E0))))))))))))))))))))),s(tyop_2Erealax_2Ereal,c_2Ereal_2Ereal__sub_2E2(s(tyop_2Erealax_2Ereal,c_2Ereal_2Ereal__of__num_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2ENUMERAL_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EBIT2_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EZERO_2E0))))))),s(tyop_2Erealax_2Ereal,c_2Ereal_2E_2F_2E2(s(tyop_2Erealax_2Ereal,c_2Ereal_2Ereal__of__num_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2ENUMERAL_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EBIT1_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EZERO_2E0))))))),s(tyop_2Erealax_2Ereal,c_2Ereal_2Epow_2E2(s(tyop_2Erealax_2Ereal,c_2Ereal_2Ereal__of__num_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2ENUMERAL_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EBIT2_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EZERO_2E0))))))),s(tyop_2Enum_2Enum,c_2Earithmetic_2ENUMERAL_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EBIT2_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EBIT1_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EBIT1_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EBIT2_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EZERO_2E0)))))))))))))))))))))))) )
     => ( p(s(tyop_2Emin_2Ebool,c_2Emachine__ieee_2Efp32__isFinite_2E1(s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Eone_2Eone)))))),c_2Emachine__ieee_2Efp32__mul__add_2E4(s(tyop_2Ebinary__ieee_2Erounding,c_2Ebinary__ieee_2EroundTiesToEven_2E0),s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Eone_2Eone)))))),V0a_2E0),s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Eone_2Eone)))))),V1b_2E0),s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Eone_2Eone)))))),V2c_2E0))))))
        & ? [V3e_2E0] :
            ( p(s(tyop_2Emin_2Ebool,c_2Ereal_2Ereal__lte_2E2(s(tyop_2Erealax_2Ereal,c_2Ereal_2Eabs_2E1(s(tyop_2Erealax_2Ereal,V3e_2E0))),s(tyop_2Erealax_2Ereal,c_2Ereal_2E_2F_2E2(s(tyop_2Erealax_2Ereal,c_2Ereal_2Ereal__of__num_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2ENUMERAL_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EBIT1_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EZERO_2E0))))))),s(tyop_2Erealax_2Ereal,c_2Ereal_2Epow_2E2(s(tyop_2Erealax_2Ereal,c_2Ereal_2Ereal__of__num_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2ENUMERAL_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EBIT2_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EZERO_2E0))))))),s(tyop_2Enum_2Enum,c_2Earithmetic_2ENUMERAL_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EBIT2_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EBIT1_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EBIT1_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EBIT2_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EZERO_2E0))))))))))))))))))
            & s(tyop_2Erealax_2Ereal,c_2Emachine__ieee_2Efp32__to__real_2E1(s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Eone_2Eone)))))),c_2Emachine__ieee_2Efp32__mul__add_2E4(s(tyop_2Ebinary__ieee_2Erounding,c_2Ebinary__ieee_2EroundTiesToEven_2E0),s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Eone_2Eone)))))),V0a_2E0),s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Eone_2Eone)))))),V1b_2E0),s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Eone_2Eone)))))),V2c_2E0))))) = s(tyop_2Erealax_2Ereal,c_2Erealax_2Ereal__mul_2E2(s(tyop_2Erealax_2Ereal,c_2Erealax_2Ereal__add_2E2(s(tyop_2Erealax_2Ereal,c_2Erealax_2Ereal__mul_2E2(s(tyop_2Erealax_2Ereal,c_2Emachine__ieee_2Efp32__to__real_2E1(s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Eone_2Eone)))))),V0a_2E0))),s(tyop_2Erealax_2Ereal,c_2Emachine__ieee_2Efp32__to__real_2E1(s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Eone_2Eone)))))),V1b_2E0))))),s(tyop_2Erealax_2Ereal,c_2Emachine__ieee_2Efp32__to__real_2E1(s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Eone_2Eone)))))),V2c_2E0))))),s(tyop_2Erealax_2Ereal,c_2Erealax_2Ereal__add_2E2(s(tyop_2Erealax_2Ereal,c_2Ereal_2Ereal__of__num_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2ENUMERAL_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EBIT1_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EZERO_2E0))))))),s(tyop_2Erealax_2Ereal,V3e_2E0))))) ) ) ) ).

fof(thm_2Elift__machine__ieee_2Efp32__float__mul__sub__relative,axiom,
    ! [V0a_2E0,V1b_2E0,V2c_2E0] :
      ( ( p(s(tyop_2Emin_2Ebool,c_2Emachine__ieee_2Efp32__isFinite_2E1(s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Eone_2Eone)))))),V0a_2E0))))
        & p(s(tyop_2Emin_2Ebool,c_2Emachine__ieee_2Efp32__isFinite_2E1(s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Eone_2Eone)))))),V1b_2E0))))
        & p(s(tyop_2Emin_2Ebool,c_2Emachine__ieee_2Efp32__isFinite_2E1(s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Eone_2Eone)))))),V2c_2E0))))
        & p(s(tyop_2Emin_2Ebool,c_2Ebool_2EIN_2E2(s(tyop_2Erealax_2Ereal,c_2Ereal_2Eabs_2E1(s(tyop_2Erealax_2Ereal,c_2Ereal_2Ereal__sub_2E2(s(tyop_2Erealax_2Ereal,c_2Erealax_2Ereal__mul_2E2(s(tyop_2Erealax_2Ereal,c_2Emachine__ieee_2Efp32__to__real_2E1(s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Eone_2Eone)))))),V0a_2E0))),s(tyop_2Erealax_2Ereal,c_2Emachine__ieee_2Efp32__to__real_2E1(s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Eone_2Eone)))))),V1b_2E0))))),s(tyop_2Erealax_2Ereal,c_2Emachine__ieee_2Efp32__to__real_2E1(s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Eone_2Eone)))))),V2c_2E0))))))),s(tyop_2Emin_2Efun(tyop_2Erealax_2Ereal,tyop_2Emin_2Ebool),c_2Elift__machine__ieee_2Einterval_2E2(s(tyop_2Erealax_2Ereal,c_2Ereal_2E_2F_2E2(s(tyop_2Erealax_2Ereal,c_2Ereal_2Ereal__of__num_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2ENUMERAL_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EBIT1_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EZERO_2E0))))))),s(tyop_2Erealax_2Ereal,c_2Ereal_2Epow_2E2(s(tyop_2Erealax_2Ereal,c_2Ereal_2Ereal__of__num_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2ENUMERAL_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EBIT2_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EZERO_2E0))))))),s(tyop_2Enum_2Enum,c_2Earithmetic_2ENUMERAL_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EBIT2_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EBIT2_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EBIT2_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EBIT2_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EBIT2_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EBIT2_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EZERO_2E0))))))))))))))))))),s(tyop_2Erealax_2Ereal,c_2Erealax_2Ereal__mul_2E2(s(tyop_2Erealax_2Ereal,c_2Ereal_2E_2F_2E2(s(tyop_2Erealax_2Ereal,c_2Ereal_2Epow_2E2(s(tyop_2Erealax_2Ereal,c_2Ereal_2Ereal__of__num_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2ENUMERAL_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EBIT2_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EZERO_2E0))))))),s(tyop_2Enum_2Enum,c_2Earithmetic_2ENUMERAL_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EBIT2_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EBIT2_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EBIT2_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EBIT2_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EBIT2_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EBIT2_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EBIT2_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EZERO_2E0))))))))))))))))))),s(tyop_2Erealax_2Ereal,c_2Ereal_2Epow_2E2(s(tyop_2Erealax_2Ereal,c_2Ereal_2Ereal__of__num_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2ENUMERAL_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EBIT2_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EZERO_2E0))))))),s(tyop_2Enum_2Enum,c_2Earithmetic_2ENUMERAL_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EBIT1_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EBIT1_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EBIT1_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EBIT1_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EBIT1_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EBIT1_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EBIT1_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EZERO_2E0))))))))))))))))))))),s(tyop_2Erealax_2Ereal,c_2Ereal_2Ereal__sub_2E2(s(tyop_2Erealax_2Ereal,c_2Ereal_2Ereal__of__num_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2ENUMERAL_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EBIT2_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EZERO_2E0))))))),s(tyop_2Erealax_2Ereal,c_2Ereal_2E_2F_2E2(s(tyop_2Erealax_2Ereal,c_2Ereal_2Ereal__of__num_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2ENUMERAL_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EBIT1_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EZERO_2E0))))))),s(tyop_2Erealax_2Ereal,c_2Ereal_2Epow_2E2(s(tyop_2Erealax_2Ereal,c_2Ereal_2Ereal__of__num_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2ENUMERAL_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EBIT2_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EZERO_2E0))))))),s(tyop_2Enum_2Enum,c_2Earithmetic_2ENUMERAL_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EBIT2_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EBIT1_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EBIT1_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EBIT2_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EZERO_2E0)))))))))))))))))))))))) )
     => ( p(s(tyop_2Emin_2Ebool,c_2Emachine__ieee_2Efp32__isFinite_2E1(s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Eone_2Eone)))))),c_2Emachine__ieee_2Efp32__mul__sub_2E4(s(tyop_2Ebinary__ieee_2Erounding,c_2Ebinary__ieee_2EroundTiesToEven_2E0),s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Eone_2Eone)))))),V0a_2E0),s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Eone_2Eone)))))),V1b_2E0),s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Eone_2Eone)))))),V2c_2E0))))))
        & ? [V3e_2E0] :
            ( p(s(tyop_2Emin_2Ebool,c_2Ereal_2Ereal__lte_2E2(s(tyop_2Erealax_2Ereal,c_2Ereal_2Eabs_2E1(s(tyop_2Erealax_2Ereal,V3e_2E0))),s(tyop_2Erealax_2Ereal,c_2Ereal_2E_2F_2E2(s(tyop_2Erealax_2Ereal,c_2Ereal_2Ereal__of__num_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2ENUMERAL_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EBIT1_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EZERO_2E0))))))),s(tyop_2Erealax_2Ereal,c_2Ereal_2Epow_2E2(s(tyop_2Erealax_2Ereal,c_2Ereal_2Ereal__of__num_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2ENUMERAL_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EBIT2_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EZERO_2E0))))))),s(tyop_2Enum_2Enum,c_2Earithmetic_2ENUMERAL_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EBIT2_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EBIT1_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EBIT1_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EBIT2_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EZERO_2E0))))))))))))))))))
            & s(tyop_2Erealax_2Ereal,c_2Emachine__ieee_2Efp32__to__real_2E1(s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Eone_2Eone)))))),c_2Emachine__ieee_2Efp32__mul__sub_2E4(s(tyop_2Ebinary__ieee_2Erounding,c_2Ebinary__ieee_2EroundTiesToEven_2E0),s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Eone_2Eone)))))),V0a_2E0),s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Eone_2Eone)))))),V1b_2E0),s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Eone_2Eone)))))),V2c_2E0))))) = s(tyop_2Erealax_2Ereal,c_2Erealax_2Ereal__mul_2E2(s(tyop_2Erealax_2Ereal,c_2Ereal_2Ereal__sub_2E2(s(tyop_2Erealax_2Ereal,c_2Erealax_2Ereal__mul_2E2(s(tyop_2Erealax_2Ereal,c_2Emachine__ieee_2Efp32__to__real_2E1(s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Eone_2Eone)))))),V0a_2E0))),s(tyop_2Erealax_2Ereal,c_2Emachine__ieee_2Efp32__to__real_2E1(s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Eone_2Eone)))))),V1b_2E0))))),s(tyop_2Erealax_2Ereal,c_2Emachine__ieee_2Efp32__to__real_2E1(s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Eone_2Eone)))))),V2c_2E0))))),s(tyop_2Erealax_2Ereal,c_2Erealax_2Ereal__add_2E2(s(tyop_2Erealax_2Ereal,c_2Ereal_2Ereal__of__num_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2ENUMERAL_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EBIT1_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EZERO_2E0))))))),s(tyop_2Erealax_2Ereal,V3e_2E0))))) ) ) ) ).

fof(thm_2Elift__machine__ieee_2Efp32__float__div__relative,axiom,
    ! [V0a_2E0,V1b_2E0] :
      ( ( p(s(tyop_2Emin_2Ebool,c_2Emachine__ieee_2Efp32__isFinite_2E1(s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Eone_2Eone)))))),V0a_2E0))))
        & p(s(tyop_2Emin_2Ebool,c_2Emachine__ieee_2Efp32__isFinite_2E1(s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Eone_2Eone)))))),V1b_2E0))))
        & ~ p(s(tyop_2Emin_2Ebool,c_2Emachine__ieee_2Efp32__isZero_2E1(s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Eone_2Eone)))))),V1b_2E0))))
        & p(s(tyop_2Emin_2Ebool,c_2Ebool_2EIN_2E2(s(tyop_2Erealax_2Ereal,c_2Ereal_2Eabs_2E1(s(tyop_2Erealax_2Ereal,c_2Ereal_2E_2F_2E2(s(tyop_2Erealax_2Ereal,c_2Emachine__ieee_2Efp32__to__real_2E1(s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Eone_2Eone)))))),V0a_2E0))),s(tyop_2Erealax_2Ereal,c_2Emachine__ieee_2Efp32__to__real_2E1(s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Eone_2Eone)))))),V1b_2E0))))))),s(tyop_2Emin_2Efun(tyop_2Erealax_2Ereal,tyop_2Emin_2Ebool),c_2Elift__machine__ieee_2Einterval_2E2(s(tyop_2Erealax_2Ereal,c_2Ereal_2E_2F_2E2(s(tyop_2Erealax_2Ereal,c_2Ereal_2Ereal__of__num_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2ENUMERAL_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EBIT1_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EZERO_2E0))))))),s(tyop_2Erealax_2Ereal,c_2Ereal_2Epow_2E2(s(tyop_2Erealax_2Ereal,c_2Ereal_2Ereal__of__num_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2ENUMERAL_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EBIT2_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EZERO_2E0))))))),s(tyop_2Enum_2Enum,c_2Earithmetic_2ENUMERAL_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EBIT2_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EBIT2_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EBIT2_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EBIT2_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EBIT2_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EBIT2_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EZERO_2E0))))))))))))))))))),s(tyop_2Erealax_2Ereal,c_2Erealax_2Ereal__mul_2E2(s(tyop_2Erealax_2Ereal,c_2Ereal_2E_2F_2E2(s(tyop_2Erealax_2Ereal,c_2Ereal_2Epow_2E2(s(tyop_2Erealax_2Ereal,c_2Ereal_2Ereal__of__num_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2ENUMERAL_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EBIT2_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EZERO_2E0))))))),s(tyop_2Enum_2Enum,c_2Earithmetic_2ENUMERAL_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EBIT2_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EBIT2_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EBIT2_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EBIT2_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EBIT2_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EBIT2_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EBIT2_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EZERO_2E0))))))))))))))))))),s(tyop_2Erealax_2Ereal,c_2Ereal_2Epow_2E2(s(tyop_2Erealax_2Ereal,c_2Ereal_2Ereal__of__num_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2ENUMERAL_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EBIT2_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EZERO_2E0))))))),s(tyop_2Enum_2Enum,c_2Earithmetic_2ENUMERAL_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EBIT1_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EBIT1_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EBIT1_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EBIT1_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EBIT1_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EBIT1_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EBIT1_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EZERO_2E0))))))))))))))))))))),s(tyop_2Erealax_2Ereal,c_2Ereal_2Ereal__sub_2E2(s(tyop_2Erealax_2Ereal,c_2Ereal_2Ereal__of__num_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2ENUMERAL_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EBIT2_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EZERO_2E0))))))),s(tyop_2Erealax_2Ereal,c_2Ereal_2E_2F_2E2(s(tyop_2Erealax_2Ereal,c_2Ereal_2Ereal__of__num_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2ENUMERAL_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EBIT1_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EZERO_2E0))))))),s(tyop_2Erealax_2Ereal,c_2Ereal_2Epow_2E2(s(tyop_2Erealax_2Ereal,c_2Ereal_2Ereal__of__num_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2ENUMERAL_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EBIT2_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EZERO_2E0))))))),s(tyop_2Enum_2Enum,c_2Earithmetic_2ENUMERAL_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EBIT2_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EBIT1_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EBIT1_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EBIT2_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EZERO_2E0)))))))))))))))))))))))) )
     => ( p(s(tyop_2Emin_2Ebool,c_2Emachine__ieee_2Efp32__isFinite_2E1(s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Eone_2Eone)))))),c_2Emachine__ieee_2Efp32__div_2E3(s(tyop_2Ebinary__ieee_2Erounding,c_2Ebinary__ieee_2EroundTiesToEven_2E0),s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Eone_2Eone)))))),V0a_2E0),s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Eone_2Eone)))))),V1b_2E0))))))
        & ? [V2e_2E0] :
            ( p(s(tyop_2Emin_2Ebool,c_2Ereal_2Ereal__lte_2E2(s(tyop_2Erealax_2Ereal,c_2Ereal_2Eabs_2E1(s(tyop_2Erealax_2Ereal,V2e_2E0))),s(tyop_2Erealax_2Ereal,c_2Ereal_2E_2F_2E2(s(tyop_2Erealax_2Ereal,c_2Ereal_2Ereal__of__num_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2ENUMERAL_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EBIT1_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EZERO_2E0))))))),s(tyop_2Erealax_2Ereal,c_2Ereal_2Epow_2E2(s(tyop_2Erealax_2Ereal,c_2Ereal_2Ereal__of__num_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2ENUMERAL_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EBIT2_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EZERO_2E0))))))),s(tyop_2Enum_2Enum,c_2Earithmetic_2ENUMERAL_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EBIT2_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EBIT1_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EBIT1_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EBIT2_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EZERO_2E0))))))))))))))))))
            & s(tyop_2Erealax_2Ereal,c_2Emachine__ieee_2Efp32__to__real_2E1(s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Eone_2Eone)))))),c_2Emachine__ieee_2Efp32__div_2E3(s(tyop_2Ebinary__ieee_2Erounding,c_2Ebinary__ieee_2EroundTiesToEven_2E0),s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Eone_2Eone)))))),V0a_2E0),s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Eone_2Eone)))))),V1b_2E0))))) = s(tyop_2Erealax_2Ereal,c_2Erealax_2Ereal__mul_2E2(s(tyop_2Erealax_2Ereal,c_2Ereal_2E_2F_2E2(s(tyop_2Erealax_2Ereal,c_2Emachine__ieee_2Efp32__to__real_2E1(s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Eone_2Eone)))))),V0a_2E0))),s(tyop_2Erealax_2Ereal,c_2Emachine__ieee_2Efp32__to__real_2E1(s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Eone_2Eone)))))),V1b_2E0))))),s(tyop_2Erealax_2Ereal,c_2Erealax_2Ereal__add_2E2(s(tyop_2Erealax_2Ereal,c_2Ereal_2Ereal__of__num_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2ENUMERAL_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EBIT1_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EZERO_2E0))))))),s(tyop_2Erealax_2Ereal,V2e_2E0))))) ) ) ) ).

fof(thm_2Elift__machine__ieee_2Efp32__float__sqrt__relative,axiom,
    ! [V0a_2E0] :
      ( ( p(s(tyop_2Emin_2Ebool,c_2Emachine__ieee_2Efp32__isFinite_2E1(s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Eone_2Eone)))))),V0a_2E0))))
        & ~ p(s(tyop_2Emin_2Ebool,c_2Ewords_2Eword__msb_2E1(s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Eone_2Eone)))))),V0a_2E0))))
        & p(s(tyop_2Emin_2Ebool,c_2Ebool_2EIN_2E2(s(tyop_2Erealax_2Ereal,c_2Ereal_2Eabs_2E1(s(tyop_2Erealax_2Ereal,c_2Etransc_2Esqrt_2E1(s(tyop_2Erealax_2Ereal,c_2Emachine__ieee_2Efp32__to__real_2E1(s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Eone_2Eone)))))),V0a_2E0))))))),s(tyop_2Emin_2Efun(tyop_2Erealax_2Ereal,tyop_2Emin_2Ebool),c_2Elift__machine__ieee_2Einterval_2E2(s(tyop_2Erealax_2Ereal,c_2Ereal_2E_2F_2E2(s(tyop_2Erealax_2Ereal,c_2Ereal_2Ereal__of__num_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2ENUMERAL_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EBIT1_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EZERO_2E0))))))),s(tyop_2Erealax_2Ereal,c_2Ereal_2Epow_2E2(s(tyop_2Erealax_2Ereal,c_2Ereal_2Ereal__of__num_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2ENUMERAL_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EBIT2_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EZERO_2E0))))))),s(tyop_2Enum_2Enum,c_2Earithmetic_2ENUMERAL_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EBIT2_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EBIT2_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EBIT2_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EBIT2_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EBIT2_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EBIT2_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EZERO_2E0))))))))))))))))))),s(tyop_2Erealax_2Ereal,c_2Erealax_2Ereal__mul_2E2(s(tyop_2Erealax_2Ereal,c_2Ereal_2E_2F_2E2(s(tyop_2Erealax_2Ereal,c_2Ereal_2Epow_2E2(s(tyop_2Erealax_2Ereal,c_2Ereal_2Ereal__of__num_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2ENUMERAL_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EBIT2_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EZERO_2E0))))))),s(tyop_2Enum_2Enum,c_2Earithmetic_2ENUMERAL_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EBIT2_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EBIT2_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EBIT2_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EBIT2_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EBIT2_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EBIT2_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EBIT2_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EZERO_2E0))))))))))))))))))),s(tyop_2Erealax_2Ereal,c_2Ereal_2Epow_2E2(s(tyop_2Erealax_2Ereal,c_2Ereal_2Ereal__of__num_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2ENUMERAL_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EBIT2_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EZERO_2E0))))))),s(tyop_2Enum_2Enum,c_2Earithmetic_2ENUMERAL_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EBIT1_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EBIT1_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EBIT1_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EBIT1_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EBIT1_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EBIT1_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EBIT1_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EZERO_2E0))))))))))))))))))))),s(tyop_2Erealax_2Ereal,c_2Ereal_2Ereal__sub_2E2(s(tyop_2Erealax_2Ereal,c_2Ereal_2Ereal__of__num_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2ENUMERAL_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EBIT2_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EZERO_2E0))))))),s(tyop_2Erealax_2Ereal,c_2Ereal_2E_2F_2E2(s(tyop_2Erealax_2Ereal,c_2Ereal_2Ereal__of__num_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2ENUMERAL_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EBIT1_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EZERO_2E0))))))),s(tyop_2Erealax_2Ereal,c_2Ereal_2Epow_2E2(s(tyop_2Erealax_2Ereal,c_2Ereal_2Ereal__of__num_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2ENUMERAL_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EBIT2_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EZERO_2E0))))))),s(tyop_2Enum_2Enum,c_2Earithmetic_2ENUMERAL_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EBIT2_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EBIT1_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EBIT1_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EBIT2_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EZERO_2E0)))))))))))))))))))))))) )
     => ( p(s(tyop_2Emin_2Ebool,c_2Emachine__ieee_2Efp32__isFinite_2E1(s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Eone_2Eone)))))),c_2Emachine__ieee_2Efp32__sqrt_2E2(s(tyop_2Ebinary__ieee_2Erounding,c_2Ebinary__ieee_2EroundTiesToEven_2E0),s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Eone_2Eone)))))),V0a_2E0))))))
        & ? [V1e_2E0] :
            ( p(s(tyop_2Emin_2Ebool,c_2Ereal_2Ereal__lte_2E2(s(tyop_2Erealax_2Ereal,c_2Ereal_2Eabs_2E1(s(tyop_2Erealax_2Ereal,V1e_2E0))),s(tyop_2Erealax_2Ereal,c_2Ereal_2E_2F_2E2(s(tyop_2Erealax_2Ereal,c_2Ereal_2Ereal__of__num_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2ENUMERAL_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EBIT1_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EZERO_2E0))))))),s(tyop_2Erealax_2Ereal,c_2Ereal_2Epow_2E2(s(tyop_2Erealax_2Ereal,c_2Ereal_2Ereal__of__num_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2ENUMERAL_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EBIT2_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EZERO_2E0))))))),s(tyop_2Enum_2Enum,c_2Earithmetic_2ENUMERAL_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EBIT2_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EBIT1_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EBIT1_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EBIT2_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EZERO_2E0))))))))))))))))))
            & s(tyop_2Erealax_2Ereal,c_2Emachine__ieee_2Efp32__to__real_2E1(s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Eone_2Eone)))))),c_2Emachine__ieee_2Efp32__sqrt_2E2(s(tyop_2Ebinary__ieee_2Erounding,c_2Ebinary__ieee_2EroundTiesToEven_2E0),s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Eone_2Eone)))))),V0a_2E0))))) = s(tyop_2Erealax_2Ereal,c_2Erealax_2Ereal__mul_2E2(s(tyop_2Erealax_2Ereal,c_2Etransc_2Esqrt_2E1(s(tyop_2Erealax_2Ereal,c_2Emachine__ieee_2Efp32__to__real_2E1(s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Eone_2Eone)))))),V0a_2E0))))),s(tyop_2Erealax_2Ereal,c_2Erealax_2Ereal__add_2E2(s(tyop_2Erealax_2Ereal,c_2Ereal_2Ereal__of__num_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2ENUMERAL_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EBIT1_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EZERO_2E0))))))),s(tyop_2Erealax_2Ereal,V1e_2E0))))) ) ) ) ).

fof(thm_2Elift__machine__ieee_2Efp64__float__add__relative,axiom,
    ! [V0a_2E0,V1b_2E0] :
      ( ( p(s(tyop_2Emin_2Ebool,c_2Emachine__ieee_2Efp64__isFinite_2E1(s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Eone_2Eone))))))),V0a_2E0))))
        & p(s(tyop_2Emin_2Ebool,c_2Emachine__ieee_2Efp64__isFinite_2E1(s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Eone_2Eone))))))),V1b_2E0))))
        & p(s(tyop_2Emin_2Ebool,c_2Ebool_2EIN_2E2(s(tyop_2Erealax_2Ereal,c_2Ereal_2Eabs_2E1(s(tyop_2Erealax_2Ereal,c_2Erealax_2Ereal__add_2E2(s(tyop_2Erealax_2Ereal,c_2Emachine__ieee_2Efp64__to__real_2E1(s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Eone_2Eone))))))),V0a_2E0))),s(tyop_2Erealax_2Ereal,c_2Emachine__ieee_2Efp64__to__real_2E1(s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Eone_2Eone))))))),V1b_2E0))))))),s(tyop_2Emin_2Efun(tyop_2Erealax_2Ereal,tyop_2Emin_2Ebool),c_2Elift__machine__ieee_2Einterval_2E2(s(tyop_2Erealax_2Ereal,c_2Ereal_2E_2F_2E2(s(tyop_2Erealax_2Ereal,c_2Ereal_2Ereal__of__num_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2ENUMERAL_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EBIT1_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EZERO_2E0))))))),s(tyop_2Erealax_2Ereal,c_2Ereal_2Epow_2E2(s(tyop_2Erealax_2Ereal,c_2Ereal_2Ereal__of__num_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2ENUMERAL_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EBIT2_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EZERO_2E0))))))),s(tyop_2Enum_2Enum,c_2Earithmetic_2ENUMERAL_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EBIT2_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EBIT2_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EBIT2_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EBIT2_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EBIT2_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EBIT2_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EBIT2_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EBIT2_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EBIT2_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EZERO_2E0))))))))))))))))))))))))),s(tyop_2Erealax_2Ereal,c_2Erealax_2Ereal__mul_2E2(s(tyop_2Erealax_2Ereal,c_2Ereal_2E_2F_2E2(s(tyop_2Erealax_2Ereal,c_2Ereal_2Epow_2E2(s(tyop_2Erealax_2Ereal,c_2Ereal_2Ereal__of__num_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2ENUMERAL_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EBIT2_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EZERO_2E0))))))),s(tyop_2Enum_2Enum,c_2Earithmetic_2ENUMERAL_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EBIT2_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EBIT2_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EBIT2_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EBIT2_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EBIT2_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EBIT2_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EBIT2_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EBIT2_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EBIT2_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EBIT2_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EZERO_2E0))))))))))))))))))))))))),s(tyop_2Erealax_2Ereal,c_2Ereal_2Epow_2E2(s(tyop_2Erealax_2Ereal,c_2Ereal_2Ereal__of__num_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2ENUMERAL_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EBIT2_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EZERO_2E0))))))),s(tyop_2Enum_2Enum,c_2Earithmetic_2ENUMERAL_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EBIT1_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EBIT1_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EBIT1_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EBIT1_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EBIT1_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EBIT1_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EBIT1_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EBIT1_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EBIT1_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EBIT1_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EZERO_2E0))))))))))))))))))))))))))),s(tyop_2Erealax_2Ereal,c_2Ereal_2Ereal__sub_2E2(s(tyop_2Erealax_2Ereal,c_2Ereal_2Ereal__of__num_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2ENUMERAL_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EBIT2_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EZERO_2E0))))))),s(tyop_2Erealax_2Ereal,c_2Ereal_2E_2F_2E2(s(tyop_2Erealax_2Ereal,c_2Ereal_2Ereal__of__num_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2ENUMERAL_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EBIT1_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EZERO_2E0))))))),s(tyop_2Erealax_2Ereal,c_2Ereal_2Epow_2E2(s(tyop_2Erealax_2Ereal,c_2Ereal_2Ereal__of__num_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2ENUMERAL_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EBIT2_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EZERO_2E0))))))),s(tyop_2Enum_2Enum,c_2Earithmetic_2ENUMERAL_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EBIT1_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EBIT2_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EBIT2_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EBIT1_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EBIT2_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EZERO_2E0)))))))))))))))))))))))))) )
     => ( p(s(tyop_2Emin_2Ebool,c_2Emachine__ieee_2Efp64__isFinite_2E1(s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Eone_2Eone))))))),c_2Emachine__ieee_2Efp64__add_2E3(s(tyop_2Ebinary__ieee_2Erounding,c_2Ebinary__ieee_2EroundTiesToEven_2E0),s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Eone_2Eone))))))),V0a_2E0),s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Eone_2Eone))))))),V1b_2E0))))))
        & ? [V2e_2E0] :
            ( p(s(tyop_2Emin_2Ebool,c_2Ereal_2Ereal__lte_2E2(s(tyop_2Erealax_2Ereal,c_2Ereal_2Eabs_2E1(s(tyop_2Erealax_2Ereal,V2e_2E0))),s(tyop_2Erealax_2Ereal,c_2Ereal_2E_2F_2E2(s(tyop_2Erealax_2Ereal,c_2Ereal_2Ereal__of__num_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2ENUMERAL_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EBIT1_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EZERO_2E0))))))),s(tyop_2Erealax_2Ereal,c_2Ereal_2Epow_2E2(s(tyop_2Erealax_2Ereal,c_2Ereal_2Ereal__of__num_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2ENUMERAL_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EBIT2_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EZERO_2E0))))))),s(tyop_2Enum_2Enum,c_2Earithmetic_2ENUMERAL_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EBIT1_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EBIT2_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EBIT2_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EBIT1_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EBIT2_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EZERO_2E0))))))))))))))))))))
            & s(tyop_2Erealax_2Ereal,c_2Emachine__ieee_2Efp64__to__real_2E1(s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Eone_2Eone))))))),c_2Emachine__ieee_2Efp64__add_2E3(s(tyop_2Ebinary__ieee_2Erounding,c_2Ebinary__ieee_2EroundTiesToEven_2E0),s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Eone_2Eone))))))),V0a_2E0),s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Eone_2Eone))))))),V1b_2E0))))) = s(tyop_2Erealax_2Ereal,c_2Erealax_2Ereal__mul_2E2(s(tyop_2Erealax_2Ereal,c_2Erealax_2Ereal__add_2E2(s(tyop_2Erealax_2Ereal,c_2Emachine__ieee_2Efp64__to__real_2E1(s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Eone_2Eone))))))),V0a_2E0))),s(tyop_2Erealax_2Ereal,c_2Emachine__ieee_2Efp64__to__real_2E1(s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Eone_2Eone))))))),V1b_2E0))))),s(tyop_2Erealax_2Ereal,c_2Erealax_2Ereal__add_2E2(s(tyop_2Erealax_2Ereal,c_2Ereal_2Ereal__of__num_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2ENUMERAL_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EBIT1_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EZERO_2E0))))))),s(tyop_2Erealax_2Ereal,V2e_2E0))))) ) ) ) ).

fof(thm_2Elift__machine__ieee_2Efp64__float__sub__relative,axiom,
    ! [V0a_2E0,V1b_2E0] :
      ( ( p(s(tyop_2Emin_2Ebool,c_2Emachine__ieee_2Efp64__isFinite_2E1(s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Eone_2Eone))))))),V0a_2E0))))
        & p(s(tyop_2Emin_2Ebool,c_2Emachine__ieee_2Efp64__isFinite_2E1(s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Eone_2Eone))))))),V1b_2E0))))
        & p(s(tyop_2Emin_2Ebool,c_2Ebool_2EIN_2E2(s(tyop_2Erealax_2Ereal,c_2Ereal_2Eabs_2E1(s(tyop_2Erealax_2Ereal,c_2Ereal_2Ereal__sub_2E2(s(tyop_2Erealax_2Ereal,c_2Emachine__ieee_2Efp64__to__real_2E1(s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Eone_2Eone))))))),V0a_2E0))),s(tyop_2Erealax_2Ereal,c_2Emachine__ieee_2Efp64__to__real_2E1(s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Eone_2Eone))))))),V1b_2E0))))))),s(tyop_2Emin_2Efun(tyop_2Erealax_2Ereal,tyop_2Emin_2Ebool),c_2Elift__machine__ieee_2Einterval_2E2(s(tyop_2Erealax_2Ereal,c_2Ereal_2E_2F_2E2(s(tyop_2Erealax_2Ereal,c_2Ereal_2Ereal__of__num_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2ENUMERAL_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EBIT1_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EZERO_2E0))))))),s(tyop_2Erealax_2Ereal,c_2Ereal_2Epow_2E2(s(tyop_2Erealax_2Ereal,c_2Ereal_2Ereal__of__num_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2ENUMERAL_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EBIT2_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EZERO_2E0))))))),s(tyop_2Enum_2Enum,c_2Earithmetic_2ENUMERAL_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EBIT2_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EBIT2_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EBIT2_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EBIT2_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EBIT2_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EBIT2_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EBIT2_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EBIT2_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EBIT2_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EZERO_2E0))))))))))))))))))))))))),s(tyop_2Erealax_2Ereal,c_2Erealax_2Ereal__mul_2E2(s(tyop_2Erealax_2Ereal,c_2Ereal_2E_2F_2E2(s(tyop_2Erealax_2Ereal,c_2Ereal_2Epow_2E2(s(tyop_2Erealax_2Ereal,c_2Ereal_2Ereal__of__num_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2ENUMERAL_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EBIT2_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EZERO_2E0))))))),s(tyop_2Enum_2Enum,c_2Earithmetic_2ENUMERAL_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EBIT2_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EBIT2_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EBIT2_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EBIT2_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EBIT2_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EBIT2_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EBIT2_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EBIT2_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EBIT2_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EBIT2_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EZERO_2E0))))))))))))))))))))))))),s(tyop_2Erealax_2Ereal,c_2Ereal_2Epow_2E2(s(tyop_2Erealax_2Ereal,c_2Ereal_2Ereal__of__num_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2ENUMERAL_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EBIT2_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EZERO_2E0))))))),s(tyop_2Enum_2Enum,c_2Earithmetic_2ENUMERAL_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EBIT1_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EBIT1_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EBIT1_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EBIT1_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EBIT1_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EBIT1_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EBIT1_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EBIT1_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EBIT1_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EBIT1_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EZERO_2E0))))))))))))))))))))))))))),s(tyop_2Erealax_2Ereal,c_2Ereal_2Ereal__sub_2E2(s(tyop_2Erealax_2Ereal,c_2Ereal_2Ereal__of__num_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2ENUMERAL_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EBIT2_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EZERO_2E0))))))),s(tyop_2Erealax_2Ereal,c_2Ereal_2E_2F_2E2(s(tyop_2Erealax_2Ereal,c_2Ereal_2Ereal__of__num_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2ENUMERAL_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EBIT1_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EZERO_2E0))))))),s(tyop_2Erealax_2Ereal,c_2Ereal_2Epow_2E2(s(tyop_2Erealax_2Ereal,c_2Ereal_2Ereal__of__num_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2ENUMERAL_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EBIT2_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EZERO_2E0))))))),s(tyop_2Enum_2Enum,c_2Earithmetic_2ENUMERAL_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EBIT1_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EBIT2_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EBIT2_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EBIT1_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EBIT2_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EZERO_2E0)))))))))))))))))))))))))) )
     => ( p(s(tyop_2Emin_2Ebool,c_2Emachine__ieee_2Efp64__isFinite_2E1(s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Eone_2Eone))))))),c_2Emachine__ieee_2Efp64__sub_2E3(s(tyop_2Ebinary__ieee_2Erounding,c_2Ebinary__ieee_2EroundTiesToEven_2E0),s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Eone_2Eone))))))),V0a_2E0),s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Eone_2Eone))))))),V1b_2E0))))))
        & ? [V2e_2E0] :
            ( p(s(tyop_2Emin_2Ebool,c_2Ereal_2Ereal__lte_2E2(s(tyop_2Erealax_2Ereal,c_2Ereal_2Eabs_2E1(s(tyop_2Erealax_2Ereal,V2e_2E0))),s(tyop_2Erealax_2Ereal,c_2Ereal_2E_2F_2E2(s(tyop_2Erealax_2Ereal,c_2Ereal_2Ereal__of__num_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2ENUMERAL_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EBIT1_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EZERO_2E0))))))),s(tyop_2Erealax_2Ereal,c_2Ereal_2Epow_2E2(s(tyop_2Erealax_2Ereal,c_2Ereal_2Ereal__of__num_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2ENUMERAL_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EBIT2_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EZERO_2E0))))))),s(tyop_2Enum_2Enum,c_2Earithmetic_2ENUMERAL_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EBIT1_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EBIT2_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EBIT2_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EBIT1_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EBIT2_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EZERO_2E0))))))))))))))))))))
            & s(tyop_2Erealax_2Ereal,c_2Emachine__ieee_2Efp64__to__real_2E1(s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Eone_2Eone))))))),c_2Emachine__ieee_2Efp64__sub_2E3(s(tyop_2Ebinary__ieee_2Erounding,c_2Ebinary__ieee_2EroundTiesToEven_2E0),s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Eone_2Eone))))))),V0a_2E0),s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Eone_2Eone))))))),V1b_2E0))))) = s(tyop_2Erealax_2Ereal,c_2Erealax_2Ereal__mul_2E2(s(tyop_2Erealax_2Ereal,c_2Ereal_2Ereal__sub_2E2(s(tyop_2Erealax_2Ereal,c_2Emachine__ieee_2Efp64__to__real_2E1(s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Eone_2Eone))))))),V0a_2E0))),s(tyop_2Erealax_2Ereal,c_2Emachine__ieee_2Efp64__to__real_2E1(s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Eone_2Eone))))))),V1b_2E0))))),s(tyop_2Erealax_2Ereal,c_2Erealax_2Ereal__add_2E2(s(tyop_2Erealax_2Ereal,c_2Ereal_2Ereal__of__num_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2ENUMERAL_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EBIT1_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EZERO_2E0))))))),s(tyop_2Erealax_2Ereal,V2e_2E0))))) ) ) ) ).

fof(thm_2Elift__machine__ieee_2Efp64__float__mul__relative,axiom,
    ! [V0a_2E0,V1b_2E0] :
      ( ( p(s(tyop_2Emin_2Ebool,c_2Emachine__ieee_2Efp64__isFinite_2E1(s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Eone_2Eone))))))),V0a_2E0))))
        & p(s(tyop_2Emin_2Ebool,c_2Emachine__ieee_2Efp64__isFinite_2E1(s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Eone_2Eone))))))),V1b_2E0))))
        & p(s(tyop_2Emin_2Ebool,c_2Ebool_2EIN_2E2(s(tyop_2Erealax_2Ereal,c_2Ereal_2Eabs_2E1(s(tyop_2Erealax_2Ereal,c_2Erealax_2Ereal__mul_2E2(s(tyop_2Erealax_2Ereal,c_2Emachine__ieee_2Efp64__to__real_2E1(s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Eone_2Eone))))))),V0a_2E0))),s(tyop_2Erealax_2Ereal,c_2Emachine__ieee_2Efp64__to__real_2E1(s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Eone_2Eone))))))),V1b_2E0))))))),s(tyop_2Emin_2Efun(tyop_2Erealax_2Ereal,tyop_2Emin_2Ebool),c_2Elift__machine__ieee_2Einterval_2E2(s(tyop_2Erealax_2Ereal,c_2Ereal_2E_2F_2E2(s(tyop_2Erealax_2Ereal,c_2Ereal_2Ereal__of__num_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2ENUMERAL_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EBIT1_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EZERO_2E0))))))),s(tyop_2Erealax_2Ereal,c_2Ereal_2Epow_2E2(s(tyop_2Erealax_2Ereal,c_2Ereal_2Ereal__of__num_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2ENUMERAL_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EBIT2_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EZERO_2E0))))))),s(tyop_2Enum_2Enum,c_2Earithmetic_2ENUMERAL_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EBIT2_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EBIT2_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EBIT2_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EBIT2_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EBIT2_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EBIT2_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EBIT2_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EBIT2_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EBIT2_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EZERO_2E0))))))))))))))))))))))))),s(tyop_2Erealax_2Ereal,c_2Erealax_2Ereal__mul_2E2(s(tyop_2Erealax_2Ereal,c_2Ereal_2E_2F_2E2(s(tyop_2Erealax_2Ereal,c_2Ereal_2Epow_2E2(s(tyop_2Erealax_2Ereal,c_2Ereal_2Ereal__of__num_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2ENUMERAL_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EBIT2_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EZERO_2E0))))))),s(tyop_2Enum_2Enum,c_2Earithmetic_2ENUMERAL_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EBIT2_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EBIT2_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EBIT2_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EBIT2_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EBIT2_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EBIT2_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EBIT2_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EBIT2_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EBIT2_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EBIT2_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EZERO_2E0))))))))))))))))))))))))),s(tyop_2Erealax_2Ereal,c_2Ereal_2Epow_2E2(s(tyop_2Erealax_2Ereal,c_2Ereal_2Ereal__of__num_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2ENUMERAL_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EBIT2_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EZERO_2E0))))))),s(tyop_2Enum_2Enum,c_2Earithmetic_2ENUMERAL_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EBIT1_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EBIT1_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EBIT1_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EBIT1_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EBIT1_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EBIT1_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EBIT1_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EBIT1_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EBIT1_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EBIT1_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EZERO_2E0))))))))))))))))))))))))))),s(tyop_2Erealax_2Ereal,c_2Ereal_2Ereal__sub_2E2(s(tyop_2Erealax_2Ereal,c_2Ereal_2Ereal__of__num_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2ENUMERAL_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EBIT2_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EZERO_2E0))))))),s(tyop_2Erealax_2Ereal,c_2Ereal_2E_2F_2E2(s(tyop_2Erealax_2Ereal,c_2Ereal_2Ereal__of__num_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2ENUMERAL_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EBIT1_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EZERO_2E0))))))),s(tyop_2Erealax_2Ereal,c_2Ereal_2Epow_2E2(s(tyop_2Erealax_2Ereal,c_2Ereal_2Ereal__of__num_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2ENUMERAL_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EBIT2_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EZERO_2E0))))))),s(tyop_2Enum_2Enum,c_2Earithmetic_2ENUMERAL_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EBIT1_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EBIT2_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EBIT2_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EBIT1_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EBIT2_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EZERO_2E0)))))))))))))))))))))))))) )
     => ( p(s(tyop_2Emin_2Ebool,c_2Emachine__ieee_2Efp64__isFinite_2E1(s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Eone_2Eone))))))),c_2Emachine__ieee_2Efp64__mul_2E3(s(tyop_2Ebinary__ieee_2Erounding,c_2Ebinary__ieee_2EroundTiesToEven_2E0),s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Eone_2Eone))))))),V0a_2E0),s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Eone_2Eone))))))),V1b_2E0))))))
        & ? [V2e_2E0] :
            ( p(s(tyop_2Emin_2Ebool,c_2Ereal_2Ereal__lte_2E2(s(tyop_2Erealax_2Ereal,c_2Ereal_2Eabs_2E1(s(tyop_2Erealax_2Ereal,V2e_2E0))),s(tyop_2Erealax_2Ereal,c_2Ereal_2E_2F_2E2(s(tyop_2Erealax_2Ereal,c_2Ereal_2Ereal__of__num_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2ENUMERAL_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EBIT1_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EZERO_2E0))))))),s(tyop_2Erealax_2Ereal,c_2Ereal_2Epow_2E2(s(tyop_2Erealax_2Ereal,c_2Ereal_2Ereal__of__num_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2ENUMERAL_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EBIT2_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EZERO_2E0))))))),s(tyop_2Enum_2Enum,c_2Earithmetic_2ENUMERAL_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EBIT1_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EBIT2_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EBIT2_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EBIT1_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EBIT2_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EZERO_2E0))))))))))))))))))))
            & s(tyop_2Erealax_2Ereal,c_2Emachine__ieee_2Efp64__to__real_2E1(s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Eone_2Eone))))))),c_2Emachine__ieee_2Efp64__mul_2E3(s(tyop_2Ebinary__ieee_2Erounding,c_2Ebinary__ieee_2EroundTiesToEven_2E0),s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Eone_2Eone))))))),V0a_2E0),s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Eone_2Eone))))))),V1b_2E0))))) = s(tyop_2Erealax_2Ereal,c_2Erealax_2Ereal__mul_2E2(s(tyop_2Erealax_2Ereal,c_2Erealax_2Ereal__mul_2E2(s(tyop_2Erealax_2Ereal,c_2Emachine__ieee_2Efp64__to__real_2E1(s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Eone_2Eone))))))),V0a_2E0))),s(tyop_2Erealax_2Ereal,c_2Emachine__ieee_2Efp64__to__real_2E1(s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Eone_2Eone))))))),V1b_2E0))))),s(tyop_2Erealax_2Ereal,c_2Erealax_2Ereal__add_2E2(s(tyop_2Erealax_2Ereal,c_2Ereal_2Ereal__of__num_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2ENUMERAL_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EBIT1_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EZERO_2E0))))))),s(tyop_2Erealax_2Ereal,V2e_2E0))))) ) ) ) ).

fof(thm_2Elift__machine__ieee_2Efp64__float__mul__add__relative,axiom,
    ! [V0a_2E0,V1b_2E0,V2c_2E0] :
      ( ( p(s(tyop_2Emin_2Ebool,c_2Emachine__ieee_2Efp64__isFinite_2E1(s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Eone_2Eone))))))),V0a_2E0))))
        & p(s(tyop_2Emin_2Ebool,c_2Emachine__ieee_2Efp64__isFinite_2E1(s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Eone_2Eone))))))),V1b_2E0))))
        & p(s(tyop_2Emin_2Ebool,c_2Emachine__ieee_2Efp64__isFinite_2E1(s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Eone_2Eone))))))),V2c_2E0))))
        & p(s(tyop_2Emin_2Ebool,c_2Ebool_2EIN_2E2(s(tyop_2Erealax_2Ereal,c_2Ereal_2Eabs_2E1(s(tyop_2Erealax_2Ereal,c_2Erealax_2Ereal__add_2E2(s(tyop_2Erealax_2Ereal,c_2Erealax_2Ereal__mul_2E2(s(tyop_2Erealax_2Ereal,c_2Emachine__ieee_2Efp64__to__real_2E1(s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Eone_2Eone))))))),V0a_2E0))),s(tyop_2Erealax_2Ereal,c_2Emachine__ieee_2Efp64__to__real_2E1(s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Eone_2Eone))))))),V1b_2E0))))),s(tyop_2Erealax_2Ereal,c_2Emachine__ieee_2Efp64__to__real_2E1(s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Eone_2Eone))))))),V2c_2E0))))))),s(tyop_2Emin_2Efun(tyop_2Erealax_2Ereal,tyop_2Emin_2Ebool),c_2Elift__machine__ieee_2Einterval_2E2(s(tyop_2Erealax_2Ereal,c_2Ereal_2E_2F_2E2(s(tyop_2Erealax_2Ereal,c_2Ereal_2Ereal__of__num_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2ENUMERAL_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EBIT1_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EZERO_2E0))))))),s(tyop_2Erealax_2Ereal,c_2Ereal_2Epow_2E2(s(tyop_2Erealax_2Ereal,c_2Ereal_2Ereal__of__num_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2ENUMERAL_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EBIT2_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EZERO_2E0))))))),s(tyop_2Enum_2Enum,c_2Earithmetic_2ENUMERAL_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EBIT2_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EBIT2_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EBIT2_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EBIT2_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EBIT2_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EBIT2_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EBIT2_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EBIT2_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EBIT2_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EZERO_2E0))))))))))))))))))))))))),s(tyop_2Erealax_2Ereal,c_2Erealax_2Ereal__mul_2E2(s(tyop_2Erealax_2Ereal,c_2Ereal_2E_2F_2E2(s(tyop_2Erealax_2Ereal,c_2Ereal_2Epow_2E2(s(tyop_2Erealax_2Ereal,c_2Ereal_2Ereal__of__num_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2ENUMERAL_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EBIT2_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EZERO_2E0))))))),s(tyop_2Enum_2Enum,c_2Earithmetic_2ENUMERAL_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EBIT2_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EBIT2_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EBIT2_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EBIT2_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EBIT2_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EBIT2_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EBIT2_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EBIT2_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EBIT2_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EBIT2_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EZERO_2E0))))))))))))))))))))))))),s(tyop_2Erealax_2Ereal,c_2Ereal_2Epow_2E2(s(tyop_2Erealax_2Ereal,c_2Ereal_2Ereal__of__num_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2ENUMERAL_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EBIT2_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EZERO_2E0))))))),s(tyop_2Enum_2Enum,c_2Earithmetic_2ENUMERAL_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EBIT1_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EBIT1_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EBIT1_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EBIT1_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EBIT1_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EBIT1_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EBIT1_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EBIT1_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EBIT1_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EBIT1_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EZERO_2E0))))))))))))))))))))))))))),s(tyop_2Erealax_2Ereal,c_2Ereal_2Ereal__sub_2E2(s(tyop_2Erealax_2Ereal,c_2Ereal_2Ereal__of__num_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2ENUMERAL_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EBIT2_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EZERO_2E0))))))),s(tyop_2Erealax_2Ereal,c_2Ereal_2E_2F_2E2(s(tyop_2Erealax_2Ereal,c_2Ereal_2Ereal__of__num_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2ENUMERAL_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EBIT1_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EZERO_2E0))))))),s(tyop_2Erealax_2Ereal,c_2Ereal_2Epow_2E2(s(tyop_2Erealax_2Ereal,c_2Ereal_2Ereal__of__num_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2ENUMERAL_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EBIT2_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EZERO_2E0))))))),s(tyop_2Enum_2Enum,c_2Earithmetic_2ENUMERAL_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EBIT1_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EBIT2_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EBIT2_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EBIT1_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EBIT2_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EZERO_2E0)))))))))))))))))))))))))) )
     => ( p(s(tyop_2Emin_2Ebool,c_2Emachine__ieee_2Efp64__isFinite_2E1(s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Eone_2Eone))))))),c_2Emachine__ieee_2Efp64__mul__add_2E4(s(tyop_2Ebinary__ieee_2Erounding,c_2Ebinary__ieee_2EroundTiesToEven_2E0),s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Eone_2Eone))))))),V0a_2E0),s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Eone_2Eone))))))),V1b_2E0),s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Eone_2Eone))))))),V2c_2E0))))))
        & ? [V3e_2E0] :
            ( p(s(tyop_2Emin_2Ebool,c_2Ereal_2Ereal__lte_2E2(s(tyop_2Erealax_2Ereal,c_2Ereal_2Eabs_2E1(s(tyop_2Erealax_2Ereal,V3e_2E0))),s(tyop_2Erealax_2Ereal,c_2Ereal_2E_2F_2E2(s(tyop_2Erealax_2Ereal,c_2Ereal_2Ereal__of__num_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2ENUMERAL_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EBIT1_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EZERO_2E0))))))),s(tyop_2Erealax_2Ereal,c_2Ereal_2Epow_2E2(s(tyop_2Erealax_2Ereal,c_2Ereal_2Ereal__of__num_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2ENUMERAL_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EBIT2_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EZERO_2E0))))))),s(tyop_2Enum_2Enum,c_2Earithmetic_2ENUMERAL_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EBIT1_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EBIT2_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EBIT2_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EBIT1_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EBIT2_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EZERO_2E0))))))))))))))))))))
            & s(tyop_2Erealax_2Ereal,c_2Emachine__ieee_2Efp64__to__real_2E1(s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Eone_2Eone))))))),c_2Emachine__ieee_2Efp64__mul__add_2E4(s(tyop_2Ebinary__ieee_2Erounding,c_2Ebinary__ieee_2EroundTiesToEven_2E0),s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Eone_2Eone))))))),V0a_2E0),s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Eone_2Eone))))))),V1b_2E0),s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Eone_2Eone))))))),V2c_2E0))))) = s(tyop_2Erealax_2Ereal,c_2Erealax_2Ereal__mul_2E2(s(tyop_2Erealax_2Ereal,c_2Erealax_2Ereal__add_2E2(s(tyop_2Erealax_2Ereal,c_2Erealax_2Ereal__mul_2E2(s(tyop_2Erealax_2Ereal,c_2Emachine__ieee_2Efp64__to__real_2E1(s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Eone_2Eone))))))),V0a_2E0))),s(tyop_2Erealax_2Ereal,c_2Emachine__ieee_2Efp64__to__real_2E1(s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Eone_2Eone))))))),V1b_2E0))))),s(tyop_2Erealax_2Ereal,c_2Emachine__ieee_2Efp64__to__real_2E1(s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Eone_2Eone))))))),V2c_2E0))))),s(tyop_2Erealax_2Ereal,c_2Erealax_2Ereal__add_2E2(s(tyop_2Erealax_2Ereal,c_2Ereal_2Ereal__of__num_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2ENUMERAL_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EBIT1_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EZERO_2E0))))))),s(tyop_2Erealax_2Ereal,V3e_2E0))))) ) ) ) ).

fof(thm_2Elift__machine__ieee_2Efp64__float__mul__sub__relative,axiom,
    ! [V0a_2E0,V1b_2E0,V2c_2E0] :
      ( ( p(s(tyop_2Emin_2Ebool,c_2Emachine__ieee_2Efp64__isFinite_2E1(s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Eone_2Eone))))))),V0a_2E0))))
        & p(s(tyop_2Emin_2Ebool,c_2Emachine__ieee_2Efp64__isFinite_2E1(s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Eone_2Eone))))))),V1b_2E0))))
        & p(s(tyop_2Emin_2Ebool,c_2Emachine__ieee_2Efp64__isFinite_2E1(s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Eone_2Eone))))))),V2c_2E0))))
        & p(s(tyop_2Emin_2Ebool,c_2Ebool_2EIN_2E2(s(tyop_2Erealax_2Ereal,c_2Ereal_2Eabs_2E1(s(tyop_2Erealax_2Ereal,c_2Ereal_2Ereal__sub_2E2(s(tyop_2Erealax_2Ereal,c_2Erealax_2Ereal__mul_2E2(s(tyop_2Erealax_2Ereal,c_2Emachine__ieee_2Efp64__to__real_2E1(s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Eone_2Eone))))))),V0a_2E0))),s(tyop_2Erealax_2Ereal,c_2Emachine__ieee_2Efp64__to__real_2E1(s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Eone_2Eone))))))),V1b_2E0))))),s(tyop_2Erealax_2Ereal,c_2Emachine__ieee_2Efp64__to__real_2E1(s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Eone_2Eone))))))),V2c_2E0))))))),s(tyop_2Emin_2Efun(tyop_2Erealax_2Ereal,tyop_2Emin_2Ebool),c_2Elift__machine__ieee_2Einterval_2E2(s(tyop_2Erealax_2Ereal,c_2Ereal_2E_2F_2E2(s(tyop_2Erealax_2Ereal,c_2Ereal_2Ereal__of__num_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2ENUMERAL_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EBIT1_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EZERO_2E0))))))),s(tyop_2Erealax_2Ereal,c_2Ereal_2Epow_2E2(s(tyop_2Erealax_2Ereal,c_2Ereal_2Ereal__of__num_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2ENUMERAL_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EBIT2_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EZERO_2E0))))))),s(tyop_2Enum_2Enum,c_2Earithmetic_2ENUMERAL_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EBIT2_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EBIT2_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EBIT2_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EBIT2_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EBIT2_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EBIT2_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EBIT2_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EBIT2_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EBIT2_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EZERO_2E0))))))))))))))))))))))))),s(tyop_2Erealax_2Ereal,c_2Erealax_2Ereal__mul_2E2(s(tyop_2Erealax_2Ereal,c_2Ereal_2E_2F_2E2(s(tyop_2Erealax_2Ereal,c_2Ereal_2Epow_2E2(s(tyop_2Erealax_2Ereal,c_2Ereal_2Ereal__of__num_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2ENUMERAL_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EBIT2_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EZERO_2E0))))))),s(tyop_2Enum_2Enum,c_2Earithmetic_2ENUMERAL_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EBIT2_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EBIT2_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EBIT2_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EBIT2_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EBIT2_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EBIT2_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EBIT2_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EBIT2_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EBIT2_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EBIT2_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EZERO_2E0))))))))))))))))))))))))),s(tyop_2Erealax_2Ereal,c_2Ereal_2Epow_2E2(s(tyop_2Erealax_2Ereal,c_2Ereal_2Ereal__of__num_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2ENUMERAL_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EBIT2_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EZERO_2E0))))))),s(tyop_2Enum_2Enum,c_2Earithmetic_2ENUMERAL_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EBIT1_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EBIT1_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EBIT1_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EBIT1_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EBIT1_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EBIT1_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EBIT1_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EBIT1_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EBIT1_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EBIT1_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EZERO_2E0))))))))))))))))))))))))))),s(tyop_2Erealax_2Ereal,c_2Ereal_2Ereal__sub_2E2(s(tyop_2Erealax_2Ereal,c_2Ereal_2Ereal__of__num_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2ENUMERAL_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EBIT2_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EZERO_2E0))))))),s(tyop_2Erealax_2Ereal,c_2Ereal_2E_2F_2E2(s(tyop_2Erealax_2Ereal,c_2Ereal_2Ereal__of__num_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2ENUMERAL_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EBIT1_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EZERO_2E0))))))),s(tyop_2Erealax_2Ereal,c_2Ereal_2Epow_2E2(s(tyop_2Erealax_2Ereal,c_2Ereal_2Ereal__of__num_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2ENUMERAL_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EBIT2_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EZERO_2E0))))))),s(tyop_2Enum_2Enum,c_2Earithmetic_2ENUMERAL_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EBIT1_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EBIT2_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EBIT2_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EBIT1_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EBIT2_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EZERO_2E0)))))))))))))))))))))))))) )
     => ( p(s(tyop_2Emin_2Ebool,c_2Emachine__ieee_2Efp64__isFinite_2E1(s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Eone_2Eone))))))),c_2Emachine__ieee_2Efp64__mul__sub_2E4(s(tyop_2Ebinary__ieee_2Erounding,c_2Ebinary__ieee_2EroundTiesToEven_2E0),s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Eone_2Eone))))))),V0a_2E0),s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Eone_2Eone))))))),V1b_2E0),s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Eone_2Eone))))))),V2c_2E0))))))
        & ? [V3e_2E0] :
            ( p(s(tyop_2Emin_2Ebool,c_2Ereal_2Ereal__lte_2E2(s(tyop_2Erealax_2Ereal,c_2Ereal_2Eabs_2E1(s(tyop_2Erealax_2Ereal,V3e_2E0))),s(tyop_2Erealax_2Ereal,c_2Ereal_2E_2F_2E2(s(tyop_2Erealax_2Ereal,c_2Ereal_2Ereal__of__num_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2ENUMERAL_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EBIT1_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EZERO_2E0))))))),s(tyop_2Erealax_2Ereal,c_2Ereal_2Epow_2E2(s(tyop_2Erealax_2Ereal,c_2Ereal_2Ereal__of__num_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2ENUMERAL_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EBIT2_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EZERO_2E0))))))),s(tyop_2Enum_2Enum,c_2Earithmetic_2ENUMERAL_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EBIT1_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EBIT2_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EBIT2_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EBIT1_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EBIT2_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EZERO_2E0))))))))))))))))))))
            & s(tyop_2Erealax_2Ereal,c_2Emachine__ieee_2Efp64__to__real_2E1(s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Eone_2Eone))))))),c_2Emachine__ieee_2Efp64__mul__sub_2E4(s(tyop_2Ebinary__ieee_2Erounding,c_2Ebinary__ieee_2EroundTiesToEven_2E0),s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Eone_2Eone))))))),V0a_2E0),s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Eone_2Eone))))))),V1b_2E0),s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Eone_2Eone))))))),V2c_2E0))))) = s(tyop_2Erealax_2Ereal,c_2Erealax_2Ereal__mul_2E2(s(tyop_2Erealax_2Ereal,c_2Ereal_2Ereal__sub_2E2(s(tyop_2Erealax_2Ereal,c_2Erealax_2Ereal__mul_2E2(s(tyop_2Erealax_2Ereal,c_2Emachine__ieee_2Efp64__to__real_2E1(s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Eone_2Eone))))))),V0a_2E0))),s(tyop_2Erealax_2Ereal,c_2Emachine__ieee_2Efp64__to__real_2E1(s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Eone_2Eone))))))),V1b_2E0))))),s(tyop_2Erealax_2Ereal,c_2Emachine__ieee_2Efp64__to__real_2E1(s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Eone_2Eone))))))),V2c_2E0))))),s(tyop_2Erealax_2Ereal,c_2Erealax_2Ereal__add_2E2(s(tyop_2Erealax_2Ereal,c_2Ereal_2Ereal__of__num_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2ENUMERAL_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EBIT1_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EZERO_2E0))))))),s(tyop_2Erealax_2Ereal,V3e_2E0))))) ) ) ) ).

fof(thm_2Elift__machine__ieee_2Efp64__float__div__relative,axiom,
    ! [V0a_2E0,V1b_2E0] :
      ( ( p(s(tyop_2Emin_2Ebool,c_2Emachine__ieee_2Efp64__isFinite_2E1(s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Eone_2Eone))))))),V0a_2E0))))
        & p(s(tyop_2Emin_2Ebool,c_2Emachine__ieee_2Efp64__isFinite_2E1(s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Eone_2Eone))))))),V1b_2E0))))
        & ~ p(s(tyop_2Emin_2Ebool,c_2Emachine__ieee_2Efp64__isZero_2E1(s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Eone_2Eone))))))),V1b_2E0))))
        & p(s(tyop_2Emin_2Ebool,c_2Ebool_2EIN_2E2(s(tyop_2Erealax_2Ereal,c_2Ereal_2Eabs_2E1(s(tyop_2Erealax_2Ereal,c_2Ereal_2E_2F_2E2(s(tyop_2Erealax_2Ereal,c_2Emachine__ieee_2Efp64__to__real_2E1(s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Eone_2Eone))))))),V0a_2E0))),s(tyop_2Erealax_2Ereal,c_2Emachine__ieee_2Efp64__to__real_2E1(s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Eone_2Eone))))))),V1b_2E0))))))),s(tyop_2Emin_2Efun(tyop_2Erealax_2Ereal,tyop_2Emin_2Ebool),c_2Elift__machine__ieee_2Einterval_2E2(s(tyop_2Erealax_2Ereal,c_2Ereal_2E_2F_2E2(s(tyop_2Erealax_2Ereal,c_2Ereal_2Ereal__of__num_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2ENUMERAL_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EBIT1_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EZERO_2E0))))))),s(tyop_2Erealax_2Ereal,c_2Ereal_2Epow_2E2(s(tyop_2Erealax_2Ereal,c_2Ereal_2Ereal__of__num_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2ENUMERAL_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EBIT2_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EZERO_2E0))))))),s(tyop_2Enum_2Enum,c_2Earithmetic_2ENUMERAL_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EBIT2_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EBIT2_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EBIT2_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EBIT2_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EBIT2_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EBIT2_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EBIT2_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EBIT2_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EBIT2_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EZERO_2E0))))))))))))))))))))))))),s(tyop_2Erealax_2Ereal,c_2Erealax_2Ereal__mul_2E2(s(tyop_2Erealax_2Ereal,c_2Ereal_2E_2F_2E2(s(tyop_2Erealax_2Ereal,c_2Ereal_2Epow_2E2(s(tyop_2Erealax_2Ereal,c_2Ereal_2Ereal__of__num_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2ENUMERAL_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EBIT2_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EZERO_2E0))))))),s(tyop_2Enum_2Enum,c_2Earithmetic_2ENUMERAL_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EBIT2_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EBIT2_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EBIT2_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EBIT2_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EBIT2_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EBIT2_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EBIT2_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EBIT2_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EBIT2_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EBIT2_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EZERO_2E0))))))))))))))))))))))))),s(tyop_2Erealax_2Ereal,c_2Ereal_2Epow_2E2(s(tyop_2Erealax_2Ereal,c_2Ereal_2Ereal__of__num_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2ENUMERAL_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EBIT2_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EZERO_2E0))))))),s(tyop_2Enum_2Enum,c_2Earithmetic_2ENUMERAL_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EBIT1_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EBIT1_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EBIT1_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EBIT1_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EBIT1_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EBIT1_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EBIT1_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EBIT1_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EBIT1_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EBIT1_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EZERO_2E0))))))))))))))))))))))))))),s(tyop_2Erealax_2Ereal,c_2Ereal_2Ereal__sub_2E2(s(tyop_2Erealax_2Ereal,c_2Ereal_2Ereal__of__num_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2ENUMERAL_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EBIT2_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EZERO_2E0))))))),s(tyop_2Erealax_2Ereal,c_2Ereal_2E_2F_2E2(s(tyop_2Erealax_2Ereal,c_2Ereal_2Ereal__of__num_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2ENUMERAL_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EBIT1_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EZERO_2E0))))))),s(tyop_2Erealax_2Ereal,c_2Ereal_2Epow_2E2(s(tyop_2Erealax_2Ereal,c_2Ereal_2Ereal__of__num_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2ENUMERAL_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EBIT2_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EZERO_2E0))))))),s(tyop_2Enum_2Enum,c_2Earithmetic_2ENUMERAL_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EBIT1_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EBIT2_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EBIT2_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EBIT1_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EBIT2_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EZERO_2E0)))))))))))))))))))))))))) )
     => ( p(s(tyop_2Emin_2Ebool,c_2Emachine__ieee_2Efp64__isFinite_2E1(s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Eone_2Eone))))))),c_2Emachine__ieee_2Efp64__div_2E3(s(tyop_2Ebinary__ieee_2Erounding,c_2Ebinary__ieee_2EroundTiesToEven_2E0),s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Eone_2Eone))))))),V0a_2E0),s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Eone_2Eone))))))),V1b_2E0))))))
        & ? [V2e_2E0] :
            ( p(s(tyop_2Emin_2Ebool,c_2Ereal_2Ereal__lte_2E2(s(tyop_2Erealax_2Ereal,c_2Ereal_2Eabs_2E1(s(tyop_2Erealax_2Ereal,V2e_2E0))),s(tyop_2Erealax_2Ereal,c_2Ereal_2E_2F_2E2(s(tyop_2Erealax_2Ereal,c_2Ereal_2Ereal__of__num_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2ENUMERAL_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EBIT1_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EZERO_2E0))))))),s(tyop_2Erealax_2Ereal,c_2Ereal_2Epow_2E2(s(tyop_2Erealax_2Ereal,c_2Ereal_2Ereal__of__num_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2ENUMERAL_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EBIT2_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EZERO_2E0))))))),s(tyop_2Enum_2Enum,c_2Earithmetic_2ENUMERAL_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EBIT1_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EBIT2_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EBIT2_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EBIT1_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EBIT2_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EZERO_2E0))))))))))))))))))))
            & s(tyop_2Erealax_2Ereal,c_2Emachine__ieee_2Efp64__to__real_2E1(s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Eone_2Eone))))))),c_2Emachine__ieee_2Efp64__div_2E3(s(tyop_2Ebinary__ieee_2Erounding,c_2Ebinary__ieee_2EroundTiesToEven_2E0),s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Eone_2Eone))))))),V0a_2E0),s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Eone_2Eone))))))),V1b_2E0))))) = s(tyop_2Erealax_2Ereal,c_2Erealax_2Ereal__mul_2E2(s(tyop_2Erealax_2Ereal,c_2Ereal_2E_2F_2E2(s(tyop_2Erealax_2Ereal,c_2Emachine__ieee_2Efp64__to__real_2E1(s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Eone_2Eone))))))),V0a_2E0))),s(tyop_2Erealax_2Ereal,c_2Emachine__ieee_2Efp64__to__real_2E1(s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Eone_2Eone))))))),V1b_2E0))))),s(tyop_2Erealax_2Ereal,c_2Erealax_2Ereal__add_2E2(s(tyop_2Erealax_2Ereal,c_2Ereal_2Ereal__of__num_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2ENUMERAL_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EBIT1_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EZERO_2E0))))))),s(tyop_2Erealax_2Ereal,V2e_2E0))))) ) ) ) ).

fof(thm_2Elift__machine__ieee_2Efp64__float__sqrt__relative,axiom,
    ! [V0a_2E0] :
      ( ( p(s(tyop_2Emin_2Ebool,c_2Emachine__ieee_2Efp64__isFinite_2E1(s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Eone_2Eone))))))),V0a_2E0))))
        & ~ p(s(tyop_2Emin_2Ebool,c_2Ewords_2Eword__msb_2E1(s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Eone_2Eone))))))),V0a_2E0))))
        & p(s(tyop_2Emin_2Ebool,c_2Ebool_2EIN_2E2(s(tyop_2Erealax_2Ereal,c_2Ereal_2Eabs_2E1(s(tyop_2Erealax_2Ereal,c_2Etransc_2Esqrt_2E1(s(tyop_2Erealax_2Ereal,c_2Emachine__ieee_2Efp64__to__real_2E1(s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Eone_2Eone))))))),V0a_2E0))))))),s(tyop_2Emin_2Efun(tyop_2Erealax_2Ereal,tyop_2Emin_2Ebool),c_2Elift__machine__ieee_2Einterval_2E2(s(tyop_2Erealax_2Ereal,c_2Ereal_2E_2F_2E2(s(tyop_2Erealax_2Ereal,c_2Ereal_2Ereal__of__num_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2ENUMERAL_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EBIT1_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EZERO_2E0))))))),s(tyop_2Erealax_2Ereal,c_2Ereal_2Epow_2E2(s(tyop_2Erealax_2Ereal,c_2Ereal_2Ereal__of__num_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2ENUMERAL_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EBIT2_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EZERO_2E0))))))),s(tyop_2Enum_2Enum,c_2Earithmetic_2ENUMERAL_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EBIT2_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EBIT2_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EBIT2_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EBIT2_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EBIT2_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EBIT2_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EBIT2_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EBIT2_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EBIT2_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EZERO_2E0))))))))))))))))))))))))),s(tyop_2Erealax_2Ereal,c_2Erealax_2Ereal__mul_2E2(s(tyop_2Erealax_2Ereal,c_2Ereal_2E_2F_2E2(s(tyop_2Erealax_2Ereal,c_2Ereal_2Epow_2E2(s(tyop_2Erealax_2Ereal,c_2Ereal_2Ereal__of__num_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2ENUMERAL_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EBIT2_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EZERO_2E0))))))),s(tyop_2Enum_2Enum,c_2Earithmetic_2ENUMERAL_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EBIT2_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EBIT2_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EBIT2_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EBIT2_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EBIT2_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EBIT2_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EBIT2_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EBIT2_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EBIT2_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EBIT2_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EZERO_2E0))))))))))))))))))))))))),s(tyop_2Erealax_2Ereal,c_2Ereal_2Epow_2E2(s(tyop_2Erealax_2Ereal,c_2Ereal_2Ereal__of__num_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2ENUMERAL_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EBIT2_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EZERO_2E0))))))),s(tyop_2Enum_2Enum,c_2Earithmetic_2ENUMERAL_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EBIT1_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EBIT1_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EBIT1_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EBIT1_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EBIT1_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EBIT1_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EBIT1_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EBIT1_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EBIT1_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EBIT1_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EZERO_2E0))))))))))))))))))))))))))),s(tyop_2Erealax_2Ereal,c_2Ereal_2Ereal__sub_2E2(s(tyop_2Erealax_2Ereal,c_2Ereal_2Ereal__of__num_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2ENUMERAL_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EBIT2_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EZERO_2E0))))))),s(tyop_2Erealax_2Ereal,c_2Ereal_2E_2F_2E2(s(tyop_2Erealax_2Ereal,c_2Ereal_2Ereal__of__num_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2ENUMERAL_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EBIT1_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EZERO_2E0))))))),s(tyop_2Erealax_2Ereal,c_2Ereal_2Epow_2E2(s(tyop_2Erealax_2Ereal,c_2Ereal_2Ereal__of__num_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2ENUMERAL_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EBIT2_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EZERO_2E0))))))),s(tyop_2Enum_2Enum,c_2Earithmetic_2ENUMERAL_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EBIT1_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EBIT2_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EBIT2_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EBIT1_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EBIT2_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EZERO_2E0)))))))))))))))))))))))))) )
     => ( p(s(tyop_2Emin_2Ebool,c_2Emachine__ieee_2Efp64__isFinite_2E1(s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Eone_2Eone))))))),c_2Emachine__ieee_2Efp64__sqrt_2E2(s(tyop_2Ebinary__ieee_2Erounding,c_2Ebinary__ieee_2EroundTiesToEven_2E0),s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Eone_2Eone))))))),V0a_2E0))))))
        & ? [V1e_2E0] :
            ( p(s(tyop_2Emin_2Ebool,c_2Ereal_2Ereal__lte_2E2(s(tyop_2Erealax_2Ereal,c_2Ereal_2Eabs_2E1(s(tyop_2Erealax_2Ereal,V1e_2E0))),s(tyop_2Erealax_2Ereal,c_2Ereal_2E_2F_2E2(s(tyop_2Erealax_2Ereal,c_2Ereal_2Ereal__of__num_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2ENUMERAL_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EBIT1_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EZERO_2E0))))))),s(tyop_2Erealax_2Ereal,c_2Ereal_2Epow_2E2(s(tyop_2Erealax_2Ereal,c_2Ereal_2Ereal__of__num_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2ENUMERAL_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EBIT2_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EZERO_2E0))))))),s(tyop_2Enum_2Enum,c_2Earithmetic_2ENUMERAL_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EBIT1_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EBIT2_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EBIT2_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EBIT1_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EBIT2_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EZERO_2E0))))))))))))))))))))
            & s(tyop_2Erealax_2Ereal,c_2Emachine__ieee_2Efp64__to__real_2E1(s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Eone_2Eone))))))),c_2Emachine__ieee_2Efp64__sqrt_2E2(s(tyop_2Ebinary__ieee_2Erounding,c_2Ebinary__ieee_2EroundTiesToEven_2E0),s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Eone_2Eone))))))),V0a_2E0))))) = s(tyop_2Erealax_2Ereal,c_2Erealax_2Ereal__mul_2E2(s(tyop_2Erealax_2Ereal,c_2Etransc_2Esqrt_2E1(s(tyop_2Erealax_2Ereal,c_2Emachine__ieee_2Efp64__to__real_2E1(s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Eone_2Eone))))))),V0a_2E0))))),s(tyop_2Erealax_2Ereal,c_2Erealax_2Ereal__add_2E2(s(tyop_2Erealax_2Ereal,c_2Ereal_2Ereal__of__num_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2ENUMERAL_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EBIT1_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EZERO_2E0))))))),s(tyop_2Erealax_2Ereal,V1e_2E0))))) ) ) ) ).

fof(reserved_2Eho_2Eeq__ext,axiom,
    ! [A_27a,A_27b,V0f_2E0,V1g_2E0] :
      ( ! [V2x_2E0] : s(A_27b,app_2E2(s(tyop_2Emin_2Efun(A_27a,A_27b),V0f_2E0),s(A_27a,V2x_2E0))) = s(A_27b,app_2E2(s(tyop_2Emin_2Efun(A_27a,A_27b),V1g_2E0),s(A_27a,V2x_2E0)))
     => s(tyop_2Emin_2Efun(A_27a,A_27b),V0f_2E0) = s(tyop_2Emin_2Efun(A_27a,A_27b),V1g_2E0) ) ).

%------------------------------------------------------------------------------