ITP001 Axioms: ITP133+4.ax


%------------------------------------------------------------------------------
% File     : ITP133+4 : TPTP v9.0.0. 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    : HolSmt.ax [Gau19]
%          : HL4133+4.ax [TPAP]

% Status   : Satisfiable
% Syntax   : Number of formulae    :  448 ( 193 unt;   0 def)
%            Number of atoms       :  907 ( 372 equ)
%            Maximal formula atoms :    9 (   2 avg)
%            Number of connectives :  667 ( 208   ~; 118   |;  37   &)
%                                         ( 216 <=>;  88  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   10 (   5 avg)
%            Maximal term depth    :   72 (   3 avg)
%            Number of predicates  :    2 (   1 usr;   0 prp; 1-2 aty)
%            Number of functors    :  134 ( 134 usr;  70 con; 0-4 aty)
%            Number of variables   : 1317 (1316   !;   1   ?)
% 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_2Emin_2E_40_2E1_2Emono_2EA_27a,axiom,
    ! [A_27a,X0_2E0] : s(A_27a,c_2Emin_2E_40_2E1(s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool),X0_2E0))) = s(A_27a,app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool),A_27a),c_2Emin_2E_40_2E0),s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool),X0_2E0))) ).

fof(arityeq1_2Ec_2Elist_2EALL__DISTINCT_2E1_2Emono_2EA_27a,axiom,
    ! [A_27a,X0_2E0] : s(tyop_2Emin_2Ebool,c_2Elist_2EALL__DISTINCT_2E1(s(tyop_2Elist_2Elist(A_27a),X0_2E0))) = s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(tyop_2Elist_2Elist(A_27a),tyop_2Emin_2Ebool),c_2Elist_2EALL__DISTINCT_2E0),s(tyop_2Elist_2Elist(A_27a),X0_2E0))) ).

fof(arityeq2_2Ec_2Elist_2ECONS_2E2_2Emono_2EA_27a,axiom,
    ! [A_27a,X0_2E0,X1_2E0] : s(tyop_2Elist_2Elist(A_27a),c_2Elist_2ECONS_2E2(s(A_27a,X0_2E0),s(tyop_2Elist_2Elist(A_27a),X1_2E0))) = s(tyop_2Elist_2Elist(A_27a),app_2E2(s(tyop_2Emin_2Efun(tyop_2Elist_2Elist(A_27a),tyop_2Elist_2Elist(A_27a)),app_2E2(s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Efun(tyop_2Elist_2Elist(A_27a),tyop_2Elist_2Elist(A_27a))),c_2Elist_2ECONS_2E0),s(A_27a,X0_2E0))),s(tyop_2Elist_2Elist(A_27a),X1_2E0))) ).

fof(arityeq1_2Ec_2Epred__set_2EFINITE_2E1_2Emono_2EA_27a,axiom,
    ! [A_27a,X0_2E0] : s(tyop_2Emin_2Ebool,c_2Epred__set_2EFINITE_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_2Epred__set_2EFINITE_2E0),s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool),X0_2E0))) ).

fof(arityeq1_2Ec_2Epred__set_2EFINITE_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_2Epred__set_2EFINITE_2E1(s(tyop_2Emin_2Efun(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Eone_2Eone)))),tyop_2Emin_2Ebool),X0_2E0))) = s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Eone_2Eone)))),tyop_2Emin_2Ebool),tyop_2Emin_2Ebool),c_2Epred__set_2EFINITE_2E0),s(tyop_2Emin_2Efun(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Eone_2Eone)))),tyop_2Emin_2Ebool),X0_2E0))) ).

fof(arityeq1_2Ec_2Epred__set_2EFINITE_2E1_2Emono_2Etyop_2Efcp_2Ebit0_28tyop_2Efcp_2Ebit0_28tyop_2Efcp_2Ebit0_28tyop_2Efcp_2Ebit1_28tyop_2Eone_2Eone_29_29_29_29,axiom,
    ! [X0_2E0] : s(tyop_2Emin_2Ebool,c_2Epred__set_2EFINITE_2E1(s(tyop_2Emin_2Efun(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit1(tyop_2Eone_2Eone)))),tyop_2Emin_2Ebool),X0_2E0))) = s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit1(tyop_2Eone_2Eone)))),tyop_2Emin_2Ebool),tyop_2Emin_2Ebool),c_2Epred__set_2EFINITE_2E0),s(tyop_2Emin_2Efun(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit1(tyop_2Eone_2Eone)))),tyop_2Emin_2Ebool),X0_2E0))) ).

fof(arityeq1_2Ec_2Epred__set_2EFINITE_2E1_2Emono_2Etyop_2Efcp_2Ebit0_28tyop_2Efcp_2Ebit1_28tyop_2Efcp_2Ebit1_28tyop_2Efcp_2Ebit1_28tyop_2Eone_2Eone_29_29_29_29,axiom,
    ! [X0_2E0] : s(tyop_2Emin_2Ebool,c_2Epred__set_2EFINITE_2E1(s(tyop_2Emin_2Efun(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit1(tyop_2Efcp_2Ebit1(tyop_2Efcp_2Ebit1(tyop_2Eone_2Eone)))),tyop_2Emin_2Ebool),X0_2E0))) = s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit1(tyop_2Efcp_2Ebit1(tyop_2Efcp_2Ebit1(tyop_2Eone_2Eone)))),tyop_2Emin_2Ebool),tyop_2Emin_2Ebool),c_2Epred__set_2EFINITE_2E0),s(tyop_2Emin_2Efun(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit1(tyop_2Efcp_2Ebit1(tyop_2Efcp_2Ebit1(tyop_2Eone_2Eone)))),tyop_2Emin_2Ebool),X0_2E0))) ).

fof(arityeq1_2Ec_2Epred__set_2EFINITE_2E1_2Emono_2Etyop_2Efcp_2Ebit1_28tyop_2Efcp_2Ebit1_28tyop_2Efcp_2Ebit1_28tyop_2Efcp_2Ebit1_28tyop_2Eone_2Eone_29_29_29_29,axiom,
    ! [X0_2E0] : s(tyop_2Emin_2Ebool,c_2Epred__set_2EFINITE_2E1(s(tyop_2Emin_2Efun(tyop_2Efcp_2Ebit1(tyop_2Efcp_2Ebit1(tyop_2Efcp_2Ebit1(tyop_2Efcp_2Ebit1(tyop_2Eone_2Eone)))),tyop_2Emin_2Ebool),X0_2E0))) = s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Efcp_2Ebit1(tyop_2Efcp_2Ebit1(tyop_2Efcp_2Ebit1(tyop_2Efcp_2Ebit1(tyop_2Eone_2Eone)))),tyop_2Emin_2Ebool),tyop_2Emin_2Ebool),c_2Epred__set_2EFINITE_2E0),s(tyop_2Emin_2Efun(tyop_2Efcp_2Ebit1(tyop_2Efcp_2Ebit1(tyop_2Efcp_2Ebit1(tyop_2Efcp_2Ebit1(tyop_2Eone_2Eone)))),tyop_2Emin_2Ebool),X0_2E0))) ).

fof(arityeq1_2Ec_2Epred__set_2EFINITE_2E1_2Emono_2Etyop_2Eone_2Eone,axiom,
    ! [X0_2E0] : s(tyop_2Emin_2Ebool,c_2Epred__set_2EFINITE_2E1(s(tyop_2Emin_2Efun(tyop_2Eone_2Eone,tyop_2Emin_2Ebool),X0_2E0))) = s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Eone_2Eone,tyop_2Emin_2Ebool),tyop_2Emin_2Ebool),c_2Epred__set_2EFINITE_2E0),s(tyop_2Emin_2Efun(tyop_2Eone_2Eone,tyop_2Emin_2Ebool),X0_2E0))) ).

fof(arityeq1_2Ec_2Einteger_2Eint__neg_2E1,axiom,
    ! [X0_2E0] : s(tyop_2Einteger_2Eint,c_2Einteger_2Eint__neg_2E1(s(tyop_2Einteger_2Eint,X0_2E0))) = s(tyop_2Einteger_2Eint,app_2E2(s(tyop_2Emin_2Efun(tyop_2Einteger_2Eint,tyop_2Einteger_2Eint),c_2Einteger_2Eint__neg_2E0),s(tyop_2Einteger_2Eint,X0_2E0))) ).

fof(arityeq1_2Ec_2Einteger_2Eint__of__num_2E1,axiom,
    ! [X0_2E0] : s(tyop_2Einteger_2Eint,c_2Einteger_2Eint__of__num_2E1(s(tyop_2Enum_2Enum,X0_2E0))) = s(tyop_2Einteger_2Eint,app_2E2(s(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Einteger_2Eint),c_2Einteger_2Eint__of__num_2E0),s(tyop_2Enum_2Enum,X0_2E0))) ).

fof(arityeq1_2Ec_2Ewords_2En2w_2E1_2Emono_2EA_27b,axiom,
    ! [A_27b,X0_2E0] : s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27b),c_2Ewords_2En2w_2E1(s(tyop_2Enum_2Enum,X0_2E0))) = s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27b),app_2E2(s(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27b)),c_2Ewords_2En2w_2E0),s(tyop_2Enum_2Enum,X0_2E0))) ).

fof(arityeq1_2Ec_2Ewords_2En2w_2E1_2Emono_2EA_27c,axiom,
    ! [A_27c,X0_2E0] : s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27c),c_2Ewords_2En2w_2E1(s(tyop_2Enum_2Enum,X0_2E0))) = s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27c),app_2E2(s(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27c)),c_2Ewords_2En2w_2E0),s(tyop_2Enum_2Enum,X0_2E0))) ).

fof(arityeq1_2Ec_2Ewords_2En2w_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_2Efcp_2Ecart(tyop_2Emin_2Ebool,tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Eone_2Eone)))))),c_2Ewords_2En2w_2E1(s(tyop_2Enum_2Enum,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)))))),app_2E2(s(tyop_2Emin_2Efun(tyop_2Enum_2Enum,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_2Ewords_2En2w_2E0),s(tyop_2Enum_2Enum,X0_2E0))) ).

fof(arityeq1_2Ec_2Ewords_2En2w_2E1_2Emono_2Etyop_2Efcp_2Ebit0_28tyop_2Efcp_2Ebit0_28tyop_2Efcp_2Ebit0_28tyop_2Eone_2Eone_29_29_29,axiom,
    ! [X0_2E0] : s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Eone_2Eone)))),c_2Ewords_2En2w_2E1(s(tyop_2Enum_2Enum,X0_2E0))) = s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Eone_2Eone)))),app_2E2(s(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Eone_2Eone))))),c_2Ewords_2En2w_2E0),s(tyop_2Enum_2Enum,X0_2E0))) ).

fof(arityeq1_2Ec_2Ewords_2En2w_2E1_2Emono_2Etyop_2Eone_2Eone,axiom,
    ! [X0_2E0] : s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,tyop_2Eone_2Eone),c_2Ewords_2En2w_2E1(s(tyop_2Enum_2Enum,X0_2E0))) = s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,tyop_2Eone_2Eone),app_2E2(s(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,tyop_2Eone_2Eone)),c_2Ewords_2En2w_2E0),s(tyop_2Enum_2Enum,X0_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_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_2Erealax_2Ereal__neg_2E1,axiom,
    ! [X0_2E0] : s(tyop_2Erealax_2Ereal,c_2Erealax_2Ereal__neg_2E1(s(tyop_2Erealax_2Ereal,X0_2E0))) = s(tyop_2Erealax_2Ereal,app_2E2(s(tyop_2Emin_2Efun(tyop_2Erealax_2Ereal,tyop_2Erealax_2Ereal),c_2Erealax_2Ereal__neg_2E0),s(tyop_2Erealax_2Ereal,X0_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(arityeq1_2Ec_2Ewords_2En2w_2E1_2Emono_2EA_27a,axiom,
    ! [A_27a,X0_2E0] : s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27a),c_2Ewords_2En2w_2E1(s(tyop_2Enum_2Enum,X0_2E0))) = s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27a),app_2E2(s(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27a)),c_2Ewords_2En2w_2E0),s(tyop_2Enum_2Enum,X0_2E0))) ).

fof(arityeq1_2Ec_2Ewords_2Ew2w_2E1_2Emono_2EA_27a_20mono_2EA_27b,axiom,
    ! [A_27a,A_27b,X0_2E0] : s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27b),c_2Ewords_2Ew2w_2E1(s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27a),X0_2E0))) = s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27b),app_2E2(s(tyop_2Emin_2Efun(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27a),tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27b)),c_2Ewords_2Ew2w_2E0),s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27a),X0_2E0))) ).

fof(arityeq1_2Ec_2Ewords_2Eword__1comp_2E1_2Emono_2EA_27a,axiom,
    ! [A_27a,X0_2E0] : s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27a),c_2Ewords_2Eword__1comp_2E1(s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27a),X0_2E0))) = s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27a),app_2E2(s(tyop_2Emin_2Efun(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27a),tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27a)),c_2Ewords_2Eword__1comp_2E0),s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27a),X0_2E0))) ).

fof(arityeq1_2Ec_2Ewords_2Eword__1comp_2E1_2Emono_2Etyop_2Eone_2Eone,axiom,
    ! [X0_2E0] : s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,tyop_2Eone_2Eone),c_2Ewords_2Eword__1comp_2E1(s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,tyop_2Eone_2Eone),X0_2E0))) = s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,tyop_2Eone_2Eone),app_2E2(s(tyop_2Emin_2Efun(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,tyop_2Eone_2Eone),tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,tyop_2Eone_2Eone)),c_2Ewords_2Eword__1comp_2E0),s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,tyop_2Eone_2Eone),X0_2E0))) ).

fof(arityeq2_2Ec_2EHolSmt_2Earray__ext_2E2_2Emono_2EA_27a_20mono_2EA_27b,axiom,
    ! [A_27a,A_27b,X0_2E0,X1_2E0] : s(A_27a,c_2EHolSmt_2Earray__ext_2E2(s(tyop_2Emin_2Efun(A_27a,A_27b),X0_2E0),s(tyop_2Emin_2Efun(A_27a,A_27b),X1_2E0))) = s(A_27a,app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(A_27a,A_27b),A_27a),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(A_27a,A_27b),tyop_2Emin_2Efun(tyop_2Emin_2Efun(A_27a,A_27b),A_27a)),c_2EHolSmt_2Earray__ext_2E0),s(tyop_2Emin_2Efun(A_27a,A_27b),X0_2E0))),s(tyop_2Emin_2Efun(A_27a,A_27b),X1_2E0))) ).

fof(arityeq2_2Ec_2Eprim__rec_2E_3C_2E2,axiom,
    ! [X0_2E0,X1_2E0] : s(tyop_2Emin_2Ebool,c_2Eprim__rec_2E_3C_2E2(s(tyop_2Enum_2Enum,X0_2E0),s(tyop_2Enum_2Enum,X1_2E0))) = s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool)),c_2Eprim__rec_2E_3C_2E0),s(tyop_2Enum_2Enum,X0_2E0))),s(tyop_2Enum_2Enum,X1_2E0))) ).

fof(arityeq1_2Ec_2Ewords_2Edimword_2E1_2Emono_2EA_27a,axiom,
    ! [A_27a,X0_2E0] : s(tyop_2Enum_2Enum,c_2Ewords_2Edimword_2E1(s(tyop_2Ebool_2Eitself(A_27a),X0_2E0))) = s(tyop_2Enum_2Enum,app_2E2(s(tyop_2Emin_2Efun(tyop_2Ebool_2Eitself(A_27a),tyop_2Enum_2Enum),c_2Ewords_2Edimword_2E0),s(tyop_2Ebool_2Eitself(A_27a),X0_2E0))) ).

fof(arityeq1_2Ec_2Ewords_2Edimword_2E1_2Emono_2EA_27b,axiom,
    ! [A_27b,X0_2E0] : s(tyop_2Enum_2Enum,c_2Ewords_2Edimword_2E1(s(tyop_2Ebool_2Eitself(A_27b),X0_2E0))) = s(tyop_2Enum_2Enum,app_2E2(s(tyop_2Emin_2Efun(tyop_2Ebool_2Eitself(A_27b),tyop_2Enum_2Enum),c_2Ewords_2Edimword_2E0),s(tyop_2Ebool_2Eitself(A_27b),X0_2E0))) ).

fof(arityeq1_2Ec_2Ewords_2Edimword_2E1_2Emono_2Etyop_2Efcp_2Ebit0_28tyop_2Efcp_2Ebit0_28tyop_2Efcp_2Ebit0_28tyop_2Eone_2Eone_29_29_29,axiom,
    ! [X0_2E0] : s(tyop_2Enum_2Enum,c_2Ewords_2Edimword_2E1(s(tyop_2Ebool_2Eitself(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Eone_2Eone)))),X0_2E0))) = s(tyop_2Enum_2Enum,app_2E2(s(tyop_2Emin_2Efun(tyop_2Ebool_2Eitself(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Eone_2Eone)))),tyop_2Enum_2Enum),c_2Ewords_2Edimword_2E0),s(tyop_2Ebool_2Eitself(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Eone_2Eone)))),X0_2E0))) ).

fof(arityeq2_2Ec_2Earithmetic_2E_3C_3D_2E2,axiom,
    ! [X0_2E0,X1_2E0] : s(tyop_2Emin_2Ebool,c_2Earithmetic_2E_3C_3D_2E2(s(tyop_2Enum_2Enum,X0_2E0),s(tyop_2Enum_2Enum,X1_2E0))) = s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool)),c_2Earithmetic_2E_3C_3D_2E0),s(tyop_2Enum_2Enum,X0_2E0))),s(tyop_2Enum_2Enum,X1_2E0))) ).

fof(arityeq1_2Ec_2Efcp_2Edimindex_2E1_2Emono_2EA_27b,axiom,
    ! [A_27b,X0_2E0] : s(tyop_2Enum_2Enum,c_2Efcp_2Edimindex_2E1(s(tyop_2Ebool_2Eitself(A_27b),X0_2E0))) = s(tyop_2Enum_2Enum,app_2E2(s(tyop_2Emin_2Efun(tyop_2Ebool_2Eitself(A_27b),tyop_2Enum_2Enum),c_2Efcp_2Edimindex_2E0),s(tyop_2Ebool_2Eitself(A_27b),X0_2E0))) ).

fof(arityeq1_2Ec_2Efcp_2Edimindex_2E1_2Emono_2EA_27c,axiom,
    ! [A_27c,X0_2E0] : s(tyop_2Enum_2Enum,c_2Efcp_2Edimindex_2E1(s(tyop_2Ebool_2Eitself(A_27c),X0_2E0))) = s(tyop_2Enum_2Enum,app_2E2(s(tyop_2Emin_2Efun(tyop_2Ebool_2Eitself(A_27c),tyop_2Enum_2Enum),c_2Efcp_2Edimindex_2E0),s(tyop_2Ebool_2Eitself(A_27c),X0_2E0))) ).

fof(arityeq1_2Ec_2Efcp_2Edimindex_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_2Enum_2Enum,c_2Efcp_2Edimindex_2E1(s(tyop_2Ebool_2Eitself(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Eone_2Eone)))))),X0_2E0))) = s(tyop_2Enum_2Enum,app_2E2(s(tyop_2Emin_2Efun(tyop_2Ebool_2Eitself(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Eone_2Eone)))))),tyop_2Enum_2Enum),c_2Efcp_2Edimindex_2E0),s(tyop_2Ebool_2Eitself(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Eone_2Eone)))))),X0_2E0))) ).

fof(arityeq1_2Ec_2Efcp_2Edimindex_2E1_2Emono_2Etyop_2Efcp_2Ebit0_28tyop_2Efcp_2Ebit0_28tyop_2Efcp_2Ebit0_28tyop_2Eone_2Eone_29_29_29,axiom,
    ! [X0_2E0] : s(tyop_2Enum_2Enum,c_2Efcp_2Edimindex_2E1(s(tyop_2Ebool_2Eitself(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Eone_2Eone)))),X0_2E0))) = s(tyop_2Enum_2Enum,app_2E2(s(tyop_2Emin_2Efun(tyop_2Ebool_2Eitself(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Eone_2Eone)))),tyop_2Enum_2Enum),c_2Efcp_2Edimindex_2E0),s(tyop_2Ebool_2Eitself(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Eone_2Eone)))),X0_2E0))) ).

fof(arityeq2_2Ec_2Ebool_2EIN_2E2_2Emono_2EA_27a,axiom,
    ! [A_27a,X0_2E0,X1_2E0] : s(tyop_2Emin_2Ebool,c_2Ebool_2EIN_2E2(s(A_27a,X0_2E0),s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool),X1_2E0))) = s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool),tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Efun(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool),tyop_2Emin_2Ebool)),c_2Ebool_2EIN_2E0),s(A_27a,X0_2E0))),s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool),X1_2E0))) ).

fof(arityeq1_2Ec_2Elist_2ELIST__TO__SET_2E1_2Emono_2EA_27a,axiom,
    ! [A_27a,X0_2E0] : s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool),c_2Elist_2ELIST__TO__SET_2E1(s(tyop_2Elist_2Elist(A_27a),X0_2E0))) = s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Elist_2Elist(A_27a),tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool)),c_2Elist_2ELIST__TO__SET_2E0),s(tyop_2Elist_2Elist(A_27a),X0_2E0))) ).

fof(arityeq2_2Ec_2Efcp_2Efcp__index_2E2_2Emono_2Etyop_2Emin_2Ebool_20mono_2EA_27a,axiom,
    ! [A_27a,X0_2E0,X1_2E0] : s(tyop_2Emin_2Ebool,c_2Efcp_2Efcp__index_2E2(s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27a),X0_2E0),s(tyop_2Enum_2Enum,X1_2E0))) = s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27a),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool)),c_2Efcp_2Efcp__index_2E0),s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27a),X0_2E0))),s(tyop_2Enum_2Enum,X1_2E0))) ).

fof(arityeq2_2Ec_2Efcp_2Efcp__index_2E2_2Emono_2Etyop_2Emin_2Ebool_20mono_2Etyop_2Efcp_2Ebit0_28tyop_2Efcp_2Ebit0_28tyop_2Efcp_2Ebit0_28tyop_2Eone_2Eone_29_29_29,axiom,
    ! [X0_2E0,X1_2E0] : s(tyop_2Emin_2Ebool,c_2Efcp_2Efcp__index_2E2(s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Eone_2Eone)))),X0_2E0),s(tyop_2Enum_2Enum,X1_2E0))) = s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(tyop_2Enum_2Enum,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_2Eone_2Eone)))),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool)),c_2Efcp_2Efcp__index_2E0),s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Eone_2Eone)))),X0_2E0))),s(tyop_2Enum_2Enum,X1_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_2Efcp_2Efcp__index_2E2_2Emono_2Etyop_2Emin_2Ebool_20mono_2Etyop_2Eone_2Eone,axiom,
    ! [X0_2E0,X1_2E0] : s(tyop_2Emin_2Ebool,c_2Efcp_2Efcp__index_2E2(s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,tyop_2Eone_2Eone),X0_2E0),s(tyop_2Enum_2Enum,X1_2E0))) = s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,tyop_2Eone_2Eone),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool)),c_2Efcp_2Efcp__index_2E0),s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,tyop_2Eone_2Eone),X0_2E0))),s(tyop_2Enum_2Enum,X1_2E0))) ).

fof(arityeq2_2Ec_2Einteger_2Eint__add_2E2,axiom,
    ! [X0_2E0,X1_2E0] : s(tyop_2Einteger_2Eint,c_2Einteger_2Eint__add_2E2(s(tyop_2Einteger_2Eint,X0_2E0),s(tyop_2Einteger_2Eint,X1_2E0))) = s(tyop_2Einteger_2Eint,app_2E2(s(tyop_2Emin_2Efun(tyop_2Einteger_2Eint,tyop_2Einteger_2Eint),app_2E2(s(tyop_2Emin_2Efun(tyop_2Einteger_2Eint,tyop_2Emin_2Efun(tyop_2Einteger_2Eint,tyop_2Einteger_2Eint)),c_2Einteger_2Eint__add_2E0),s(tyop_2Einteger_2Eint,X0_2E0))),s(tyop_2Einteger_2Eint,X1_2E0))) ).

fof(arityeq2_2Ec_2Einteger_2Eint__mul_2E2,axiom,
    ! [X0_2E0,X1_2E0] : s(tyop_2Einteger_2Eint,c_2Einteger_2Eint__mul_2E2(s(tyop_2Einteger_2Eint,X0_2E0),s(tyop_2Einteger_2Eint,X1_2E0))) = s(tyop_2Einteger_2Eint,app_2E2(s(tyop_2Emin_2Efun(tyop_2Einteger_2Eint,tyop_2Einteger_2Eint),app_2E2(s(tyop_2Emin_2Efun(tyop_2Einteger_2Eint,tyop_2Emin_2Efun(tyop_2Einteger_2Eint,tyop_2Einteger_2Eint)),c_2Einteger_2Eint__mul_2E0),s(tyop_2Einteger_2Eint,X0_2E0))),s(tyop_2Einteger_2Eint,X1_2E0))) ).

fof(arityeq2_2Ec_2Einteger_2Eint__ge_2E2,axiom,
    ! [X0_2E0,X1_2E0] : s(tyop_2Emin_2Ebool,c_2Einteger_2Eint__ge_2E2(s(tyop_2Einteger_2Eint,X0_2E0),s(tyop_2Einteger_2Eint,X1_2E0))) = s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(tyop_2Einteger_2Eint,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Einteger_2Eint,tyop_2Emin_2Efun(tyop_2Einteger_2Eint,tyop_2Emin_2Ebool)),c_2Einteger_2Eint__ge_2E0),s(tyop_2Einteger_2Eint,X0_2E0))),s(tyop_2Einteger_2Eint,X1_2E0))) ).

fof(arityeq2_2Ec_2Einteger_2Eint__gt_2E2,axiom,
    ! [X0_2E0,X1_2E0] : s(tyop_2Emin_2Ebool,c_2Einteger_2Eint__gt_2E2(s(tyop_2Einteger_2Eint,X0_2E0),s(tyop_2Einteger_2Eint,X1_2E0))) = s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(tyop_2Einteger_2Eint,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Einteger_2Eint,tyop_2Emin_2Efun(tyop_2Einteger_2Eint,tyop_2Emin_2Ebool)),c_2Einteger_2Eint__gt_2E0),s(tyop_2Einteger_2Eint,X0_2E0))),s(tyop_2Einteger_2Eint,X1_2E0))) ).

fof(arityeq2_2Ec_2Einteger_2Eint__le_2E2,axiom,
    ! [X0_2E0,X1_2E0] : s(tyop_2Emin_2Ebool,c_2Einteger_2Eint__le_2E2(s(tyop_2Einteger_2Eint,X0_2E0),s(tyop_2Einteger_2Eint,X1_2E0))) = s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(tyop_2Einteger_2Eint,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Einteger_2Eint,tyop_2Emin_2Efun(tyop_2Einteger_2Eint,tyop_2Emin_2Ebool)),c_2Einteger_2Eint__le_2E0),s(tyop_2Einteger_2Eint,X0_2E0))),s(tyop_2Einteger_2Eint,X1_2E0))) ).

fof(arityeq2_2Ec_2Einteger_2Eint__lt_2E2,axiom,
    ! [X0_2E0,X1_2E0] : s(tyop_2Emin_2Ebool,c_2Einteger_2Eint__lt_2E2(s(tyop_2Einteger_2Eint,X0_2E0),s(tyop_2Einteger_2Eint,X1_2E0))) = s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(tyop_2Einteger_2Eint,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Einteger_2Eint,tyop_2Emin_2Efun(tyop_2Einteger_2Eint,tyop_2Emin_2Ebool)),c_2Einteger_2Eint__lt_2E0),s(tyop_2Einteger_2Eint,X0_2E0))),s(tyop_2Einteger_2Eint,X1_2E0))) ).

fof(arityeq2_2Ec_2Einteger_2Eint__sub_2E2,axiom,
    ! [X0_2E0,X1_2E0] : s(tyop_2Einteger_2Eint,c_2Einteger_2Eint__sub_2E2(s(tyop_2Einteger_2Eint,X0_2E0),s(tyop_2Einteger_2Eint,X1_2E0))) = s(tyop_2Einteger_2Eint,app_2E2(s(tyop_2Emin_2Efun(tyop_2Einteger_2Eint,tyop_2Einteger_2Eint),app_2E2(s(tyop_2Emin_2Efun(tyop_2Einteger_2Eint,tyop_2Emin_2Efun(tyop_2Einteger_2Eint,tyop_2Einteger_2Eint)),c_2Einteger_2Eint__sub_2E0),s(tyop_2Einteger_2Eint,X0_2E0))),s(tyop_2Einteger_2Eint,X1_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__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(arityeq2_2Ec_2Ereal_2Ereal__ge_2E2,axiom,
    ! [X0_2E0,X1_2E0] : s(tyop_2Emin_2Ebool,c_2Ereal_2Ereal__ge_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__ge_2E0),s(tyop_2Erealax_2Ereal,X0_2E0))),s(tyop_2Erealax_2Ereal,X1_2E0))) ).

fof(arityeq2_2Ec_2Ereal_2Ereal__gt_2E2,axiom,
    ! [X0_2E0,X1_2E0] : s(tyop_2Emin_2Ebool,c_2Ereal_2Ereal__gt_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__gt_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(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(arityeq2_2Ec_2Ewords_2Eword__add_2E2_2Emono_2EA_27a,axiom,
    ! [A_27a,X0_2E0,X1_2E0] : s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27a),c_2Ewords_2Eword__add_2E2(s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27a),X0_2E0),s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27a),X1_2E0))) = s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27a),app_2E2(s(tyop_2Emin_2Efun(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27a),tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27a)),app_2E2(s(tyop_2Emin_2Efun(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27a),tyop_2Emin_2Efun(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27a),tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27a))),c_2Ewords_2Eword__add_2E0),s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27a),X0_2E0))),s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27a),X1_2E0))) ).

fof(arityeq2_2Ec_2Ewords_2Eword__and_2E2_2Emono_2EA_27a,axiom,
    ! [A_27a,X0_2E0,X1_2E0] : s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27a),c_2Ewords_2Eword__and_2E2(s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27a),X0_2E0),s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27a),X1_2E0))) = s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27a),app_2E2(s(tyop_2Emin_2Efun(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27a),tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27a)),app_2E2(s(tyop_2Emin_2Efun(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27a),tyop_2Emin_2Efun(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27a),tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27a))),c_2Ewords_2Eword__and_2E0),s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27a),X0_2E0))),s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27a),X1_2E0))) ).

fof(arityeq2_2Ec_2Ewords_2Eword__and_2E2_2Emono_2Etyop_2Eone_2Eone,axiom,
    ! [X0_2E0,X1_2E0] : s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,tyop_2Eone_2Eone),c_2Ewords_2Eword__and_2E2(s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,tyop_2Eone_2Eone),X0_2E0),s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,tyop_2Eone_2Eone),X1_2E0))) = s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,tyop_2Eone_2Eone),app_2E2(s(tyop_2Emin_2Efun(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,tyop_2Eone_2Eone),tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,tyop_2Eone_2Eone)),app_2E2(s(tyop_2Emin_2Efun(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,tyop_2Eone_2Eone),tyop_2Emin_2Efun(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,tyop_2Eone_2Eone),tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,tyop_2Eone_2Eone))),c_2Ewords_2Eword__and_2E0),s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,tyop_2Eone_2Eone),X0_2E0))),s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,tyop_2Eone_2Eone),X1_2E0))) ).

fof(arityeq2_2Ec_2Ewords_2Eword__concat_2E2_2Emono_2EA_27a_20mono_2EA_27b_20mono_2EA_27c,axiom,
    ! [A_27a,A_27b,A_27c,X0_2E0,X1_2E0] : s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27c),c_2Ewords_2Eword__concat_2E2(s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27a),X0_2E0),s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27b),X1_2E0))) = s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27c),app_2E2(s(tyop_2Emin_2Efun(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27b),tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27c)),app_2E2(s(tyop_2Emin_2Efun(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27a),tyop_2Emin_2Efun(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27b),tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27c))),c_2Ewords_2Eword__concat_2E0),s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27a),X0_2E0))),s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27b),X1_2E0))) ).

fof(arityeq2_2Ec_2Ewords_2Eword__lo_2E2_2Emono_2EA_27a,axiom,
    ! [A_27a,X0_2E0,X1_2E0] : s(tyop_2Emin_2Ebool,c_2Ewords_2Eword__lo_2E2(s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27a),X0_2E0),s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27a),X1_2E0))) = s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27a),tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27a),tyop_2Emin_2Efun(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27a),tyop_2Emin_2Ebool)),c_2Ewords_2Eword__lo_2E0),s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27a),X0_2E0))),s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27a),X1_2E0))) ).

fof(arityeq2_2Ec_2Ewords_2Eword__ls_2E2_2Emono_2EA_27a,axiom,
    ! [A_27a,X0_2E0,X1_2E0] : s(tyop_2Emin_2Ebool,c_2Ewords_2Eword__ls_2E2(s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27a),X0_2E0),s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27a),X1_2E0))) = s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27a),tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27a),tyop_2Emin_2Efun(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27a),tyop_2Emin_2Ebool)),c_2Ewords_2Eword__ls_2E0),s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27a),X0_2E0))),s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27a),X1_2E0))) ).

fof(arityeq2_2Ec_2Ewords_2Eword__mul_2E2_2Emono_2EA_27a,axiom,
    ! [A_27a,X0_2E0,X1_2E0] : s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27a),c_2Ewords_2Eword__mul_2E2(s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27a),X0_2E0),s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27a),X1_2E0))) = s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27a),app_2E2(s(tyop_2Emin_2Efun(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27a),tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27a)),app_2E2(s(tyop_2Emin_2Efun(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27a),tyop_2Emin_2Efun(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27a),tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27a))),c_2Ewords_2Eword__mul_2E0),s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27a),X0_2E0))),s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27a),X1_2E0))) ).

fof(arityeq1_2Ec_2Ewords_2Esw2sw_2E1_2Emono_2Etyop_2Efcp_2Ebit0_28tyop_2Efcp_2Ebit0_28tyop_2Efcp_2Ebit0_28tyop_2Eone_2Eone_29_29_29_20mono_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_2Efcp_2Ecart(tyop_2Emin_2Ebool,tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Eone_2Eone)))))),c_2Ewords_2Esw2sw_2E1(s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Eone_2Eone)))),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)))))),app_2E2(s(tyop_2Emin_2Efun(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,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_2Ewords_2Esw2sw_2E0),s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Eone_2Eone)))),X0_2E0))) ).

fof(arityeq2_2Ec_2Ewords_2Eword__mul_2E2_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,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_2Ewords_2Eword__mul_2E2(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_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_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_2Ewords_2Eword__mul_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))),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(arityeq2_2Ec_2Ewords_2Eword__or_2E2_2Emono_2EA_27a,axiom,
    ! [A_27a,X0_2E0,X1_2E0] : s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27a),c_2Ewords_2Eword__or_2E2(s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27a),X0_2E0),s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27a),X1_2E0))) = s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27a),app_2E2(s(tyop_2Emin_2Efun(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27a),tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27a)),app_2E2(s(tyop_2Emin_2Efun(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27a),tyop_2Emin_2Efun(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27a),tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27a))),c_2Ewords_2Eword__or_2E0),s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27a),X0_2E0))),s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27a),X1_2E0))) ).

fof(arityeq2_2Ec_2Ewords_2Eword__or_2E2_2Emono_2Etyop_2Eone_2Eone,axiom,
    ! [X0_2E0,X1_2E0] : s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,tyop_2Eone_2Eone),c_2Ewords_2Eword__or_2E2(s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,tyop_2Eone_2Eone),X0_2E0),s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,tyop_2Eone_2Eone),X1_2E0))) = s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,tyop_2Eone_2Eone),app_2E2(s(tyop_2Emin_2Efun(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,tyop_2Eone_2Eone),tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,tyop_2Eone_2Eone)),app_2E2(s(tyop_2Emin_2Efun(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,tyop_2Eone_2Eone),tyop_2Emin_2Efun(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,tyop_2Eone_2Eone),tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,tyop_2Eone_2Eone))),c_2Ewords_2Eword__or_2E0),s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,tyop_2Eone_2Eone),X0_2E0))),s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,tyop_2Eone_2Eone),X1_2E0))) ).

fof(arityeq2_2Ec_2EHolSmt_2Exor_2E2,axiom,
    ! [X0_2E0,X1_2E0] : s(tyop_2Emin_2Ebool,c_2EHolSmt_2Exor_2E2(s(tyop_2Emin_2Ebool,X0_2E0),s(tyop_2Emin_2Ebool,X1_2E0))) = 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_2EHolSmt_2Exor_2E0),s(tyop_2Emin_2Ebool,X0_2E0))),s(tyop_2Emin_2Ebool,X1_2E0))) ).

fof(arityeq3_2Ec_2Ebool_2ECOND_2E3_2Emono_2EA_27a,axiom,
    ! [A_27a,X0_2E0,X1_2E0,X2_2E0] : s(A_27a,c_2Ebool_2ECOND_2E3(s(tyop_2Emin_2Ebool,X0_2E0),s(A_27a,X1_2E0),s(A_27a,X2_2E0))) = s(A_27a,app_2E2(s(tyop_2Emin_2Efun(A_27a,A_27a),app_2E2(s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Efun(A_27a,A_27a)),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Efun(A_27a,A_27a))),c_2Ebool_2ECOND_2E0),s(tyop_2Emin_2Ebool,X0_2E0))),s(A_27a,X1_2E0))),s(A_27a,X2_2E0))) ).

fof(arityeq3_2Ec_2Ebool_2ECOND_2E3_2Emono_2Etyop_2Emin_2Ebool,axiom,
    ! [X0_2E0,X1_2E0,X2_2E0] : s(tyop_2Emin_2Ebool,c_2Ebool_2ECOND_2E3(s(tyop_2Emin_2Ebool,X0_2E0),s(tyop_2Emin_2Ebool,X1_2E0),s(tyop_2Emin_2Ebool,X2_2E0))) = 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)),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool))),c_2Ebool_2ECOND_2E0),s(tyop_2Emin_2Ebool,X0_2E0))),s(tyop_2Emin_2Ebool,X1_2E0))),s(tyop_2Emin_2Ebool,X2_2E0))) ).

fof(arityeq3_2Ec_2Ebool_2ECOND_2E3_2Emono_2Etyop_2Efcp_2Ecart_28tyop_2Emin_2Ebool_2Ctyop_2Eone_2Eone_29,axiom,
    ! [X0_2E0,X1_2E0,X2_2E0] : s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,tyop_2Eone_2Eone),c_2Ebool_2ECOND_2E3(s(tyop_2Emin_2Ebool,X0_2E0),s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,tyop_2Eone_2Eone),X1_2E0),s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,tyop_2Eone_2Eone),X2_2E0))) = s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,tyop_2Eone_2Eone),app_2E2(s(tyop_2Emin_2Efun(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,tyop_2Eone_2Eone),tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,tyop_2Eone_2Eone)),app_2E2(s(tyop_2Emin_2Efun(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,tyop_2Eone_2Eone),tyop_2Emin_2Efun(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,tyop_2Eone_2Eone),tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,tyop_2Eone_2Eone))),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Efun(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,tyop_2Eone_2Eone),tyop_2Emin_2Efun(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,tyop_2Eone_2Eone),tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,tyop_2Eone_2Eone)))),c_2Ebool_2ECOND_2E0),s(tyop_2Emin_2Ebool,X0_2E0))),s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,tyop_2Eone_2Eone),X1_2E0))),s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,tyop_2Eone_2Eone),X2_2E0))) ).

fof(arityeq3_2Ec_2Ecombin_2EUPDATE_2E3_2Emono_2EA_27a_20mono_2EA_27b,axiom,
    ! [A_27a,A_27b,X0_2E0,X1_2E0,X2_2E0] : s(tyop_2Emin_2Efun(A_27a,A_27b),c_2Ecombin_2EUPDATE_2E3(s(A_27a,X0_2E0),s(A_27b,X1_2E0),s(tyop_2Emin_2Efun(A_27a,A_27b),X2_2E0))) = s(tyop_2Emin_2Efun(A_27a,A_27b),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(A_27a,A_27b),tyop_2Emin_2Efun(A_27a,A_27b)),app_2E2(s(tyop_2Emin_2Efun(A_27b,tyop_2Emin_2Efun(tyop_2Emin_2Efun(A_27a,A_27b),tyop_2Emin_2Efun(A_27a,A_27b))),app_2E2(s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Efun(A_27b,tyop_2Emin_2Efun(tyop_2Emin_2Efun(A_27a,A_27b),tyop_2Emin_2Efun(A_27a,A_27b)))),c_2Ecombin_2EUPDATE_2E0),s(A_27a,X0_2E0))),s(A_27b,X1_2E0))),s(tyop_2Emin_2Efun(A_27a,A_27b),X2_2E0))) ).

fof(arityeq3_2Ec_2Ewords_2Eword__extract_2E3_2Emono_2Etyop_2Efcp_2Ebit0_28tyop_2Efcp_2Ebit0_28tyop_2Efcp_2Ebit0_28tyop_2Eone_2Eone_29_29_29_20mono_2Etyop_2Efcp_2Ebit0_28tyop_2Efcp_2Ebit0_28tyop_2Efcp_2Ebit0_28tyop_2Eone_2Eone_29_29_29,axiom,
    ! [X0_2E0,X1_2E0,X2_2E0] : s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Eone_2Eone)))),c_2Ewords_2Eword__extract_2E3(s(tyop_2Enum_2Enum,X0_2E0),s(tyop_2Enum_2Enum,X1_2E0),s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,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_2Eone_2Eone)))),app_2E2(s(tyop_2Emin_2Efun(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,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_2Eone_2Eone))))),app_2E2(s(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Efun(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,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_2Eone_2Eone)))))),app_2E2(s(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Efun(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,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_2Eone_2Eone))))))),c_2Ewords_2Eword__extract_2E0),s(tyop_2Enum_2Enum,X0_2E0))),s(tyop_2Enum_2Enum,X1_2E0))),s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Eone_2Eone)))),X2_2E0))) ).

fof(arityeq3_2Ec_2Ewords_2Eword__extract_2E3_2Emono_2Etyop_2Eone_2Eone_20mono_2Etyop_2Eone_2Eone,axiom,
    ! [X0_2E0,X1_2E0,X2_2E0] : s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,tyop_2Eone_2Eone),c_2Ewords_2Eword__extract_2E3(s(tyop_2Enum_2Enum,X0_2E0),s(tyop_2Enum_2Enum,X1_2E0),s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,tyop_2Eone_2Eone),X2_2E0))) = s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,tyop_2Eone_2Eone),app_2E2(s(tyop_2Emin_2Efun(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,tyop_2Eone_2Eone),tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,tyop_2Eone_2Eone)),app_2E2(s(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Efun(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,tyop_2Eone_2Eone),tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,tyop_2Eone_2Eone))),app_2E2(s(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Efun(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,tyop_2Eone_2Eone),tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,tyop_2Eone_2Eone)))),c_2Ewords_2Eword__extract_2E0),s(tyop_2Enum_2Enum,X0_2E0))),s(tyop_2Enum_2Enum,X1_2E0))),s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,tyop_2Eone_2Eone),X2_2E0))) ).

fof(arityeq4_2Ec_2Ecombin_2EUPDATE_2E4_2Emono_2EA_27a_20mono_2EA_27b,axiom,
    ! [A_27a,A_27b,X0_2E0,X1_2E0,X2_2E0,X3_2E0] : s(A_27b,c_2Ecombin_2EUPDATE_2E4(s(A_27a,X0_2E0),s(A_27b,X1_2E0),s(tyop_2Emin_2Efun(A_27a,A_27b),X2_2E0),s(A_27a,X3_2E0))) = s(A_27b,app_2E2(s(tyop_2Emin_2Efun(A_27a,A_27b),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(A_27a,A_27b),tyop_2Emin_2Efun(A_27a,A_27b)),app_2E2(s(tyop_2Emin_2Efun(A_27b,tyop_2Emin_2Efun(tyop_2Emin_2Efun(A_27a,A_27b),tyop_2Emin_2Efun(A_27a,A_27b))),app_2E2(s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Efun(A_27b,tyop_2Emin_2Efun(tyop_2Emin_2Efun(A_27a,A_27b),tyop_2Emin_2Efun(A_27a,A_27b)))),c_2Ecombin_2EUPDATE_2E0),s(A_27a,X0_2E0))),s(A_27b,X1_2E0))),s(tyop_2Emin_2Efun(A_27a,A_27b),X2_2E0))),s(A_27a,X3_2E0))) ).

fof(thm_2EHolSmt_2Exor__def,axiom,
    ! [V0x_2E0,V1y_2E0] :
      ( p(s(tyop_2Emin_2Ebool,c_2EHolSmt_2Exor_2E2(s(tyop_2Emin_2Ebool,V0x_2E0),s(tyop_2Emin_2Ebool,V1y_2E0))))
    <=> s(tyop_2Emin_2Ebool,V0x_2E0) != s(tyop_2Emin_2Ebool,V1y_2E0) ) ).

fof(thm_2EHolSmt_2Earray__ext__def,axiom,
    ! [A_27a,A_27b,F0_2E0] :
      ( ! [V0A_2E0,V1B_2E0,V2i_2E0] :
          ( p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(A_27a,A_27b),tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool)),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(A_27a,A_27b),tyop_2Emin_2Efun(tyop_2Emin_2Efun(A_27a,A_27b),tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool))),F0_2E0),s(tyop_2Emin_2Efun(A_27a,A_27b),V0A_2E0))),s(tyop_2Emin_2Efun(A_27a,A_27b),V1B_2E0))),s(A_27a,V2i_2E0))))
        <=> s(A_27b,app_2E2(s(tyop_2Emin_2Efun(A_27a,A_27b),V0A_2E0),s(A_27a,V2i_2E0))) != s(A_27b,app_2E2(s(tyop_2Emin_2Efun(A_27a,A_27b),V1B_2E0),s(A_27a,V2i_2E0))) )
     => ! [V0A_2E0,V1B_2E0] : s(A_27a,c_2EHolSmt_2Earray__ext_2E2(s(tyop_2Emin_2Efun(A_27a,A_27b),V0A_2E0),s(tyop_2Emin_2Efun(A_27a,A_27b),V1B_2E0))) = s(A_27a,c_2Emin_2E_40_2E1(s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(A_27a,A_27b),tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool)),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(A_27a,A_27b),tyop_2Emin_2Efun(tyop_2Emin_2Efun(A_27a,A_27b),tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool))),F0_2E0),s(tyop_2Emin_2Efun(A_27a,A_27b),V0A_2E0))),s(tyop_2Emin_2Efun(A_27a,A_27b),V1B_2E0))))) ) ).

fof(thm_2EHolSmt_2EALL__DISTINCT__NIL,axiom,
    ! [A_27a] : s(tyop_2Emin_2Ebool,c_2Elist_2EALL__DISTINCT_2E1(s(tyop_2Elist_2Elist(A_27a),c_2Elist_2ENIL_2E0))) = s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0) ).

fof(thm_2EHolSmt_2EALL__DISTINCT__CONS,axiom,
    ! [A_27a,V0h_2E0,V1t_2E0] :
      ( p(s(tyop_2Emin_2Ebool,c_2Elist_2EALL__DISTINCT_2E1(s(tyop_2Elist_2Elist(A_27a),c_2Elist_2ECONS_2E2(s(A_27a,V0h_2E0),s(tyop_2Elist_2Elist(A_27a),V1t_2E0))))))
    <=> ( ~ p(s(tyop_2Emin_2Ebool,c_2Ebool_2EIN_2E2(s(A_27a,V0h_2E0),s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool),c_2Elist_2ELIST__TO__SET_2E1(s(tyop_2Elist_2Elist(A_27a),V1t_2E0))))))
        & p(s(tyop_2Emin_2Ebool,c_2Elist_2EALL__DISTINCT_2E1(s(tyop_2Elist_2Elist(A_27a),V1t_2E0)))) ) ) ).

fof(thm_2EHolSmt_2ENOT__MEM__NIL,axiom,
    ! [A_27a,V0x_2E0] :
      ( ~ p(s(tyop_2Emin_2Ebool,c_2Ebool_2EIN_2E2(s(A_27a,V0x_2E0),s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool),c_2Elist_2ELIST__TO__SET_2E1(s(tyop_2Elist_2Elist(A_27a),c_2Elist_2ENIL_2E0))))))
    <=> p(s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0)) ) ).

fof(thm_2EHolSmt_2ENOT__MEM__CONS,axiom,
    ! [A_27a,V0x_2E0,V1h_2E0,V2t_2E0] :
      ( ~ p(s(tyop_2Emin_2Ebool,c_2Ebool_2EIN_2E2(s(A_27a,V0x_2E0),s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool),c_2Elist_2ELIST__TO__SET_2E1(s(tyop_2Elist_2Elist(A_27a),c_2Elist_2ECONS_2E2(s(A_27a,V1h_2E0),s(tyop_2Elist_2Elist(A_27a),V2t_2E0))))))))
    <=> ( s(A_27a,V0x_2E0) != s(A_27a,V1h_2E0)
        & ~ p(s(tyop_2Emin_2Ebool,c_2Ebool_2EIN_2E2(s(A_27a,V0x_2E0),s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool),c_2Elist_2ELIST__TO__SET_2E1(s(tyop_2Elist_2Elist(A_27a),V2t_2E0)))))) ) ) ).

fof(thm_2EHolSmt_2EAND__T,axiom,
    ! [V0t_2E0] :
      ( ( p(s(tyop_2Emin_2Ebool,V0t_2E0))
        & p(s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0)) )
    <=> p(s(tyop_2Emin_2Ebool,V0t_2E0)) ) ).

fof(thm_2EHolSmt_2ET__AND,axiom,
    ! [V0p_2E0,V1q_2E0] :
      ( ( ( p(s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0))
          & p(s(tyop_2Emin_2Ebool,V0p_2E0)) )
      <=> ( p(s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0))
          & p(s(tyop_2Emin_2Ebool,V1q_2E0)) ) )
     => s(tyop_2Emin_2Ebool,V0p_2E0) = s(tyop_2Emin_2Ebool,V1q_2E0) ) ).

fof(thm_2EHolSmt_2EF__OR,axiom,
    ! [V0p_2E0,V1q_2E0] :
      ( ( ( p(s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0))
          | p(s(tyop_2Emin_2Ebool,V0p_2E0)) )
      <=> ( p(s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0))
          | p(s(tyop_2Emin_2Ebool,V1q_2E0)) ) )
     => s(tyop_2Emin_2Ebool,V0p_2E0) = s(tyop_2Emin_2Ebool,V1q_2E0) ) ).

fof(thm_2EHolSmt_2ECONJ__CONG,axiom,
    ! [V0p_2E0,V1q_2E0,V2r_2E0,V3s_2E0] :
      ( s(tyop_2Emin_2Ebool,V0p_2E0) = s(tyop_2Emin_2Ebool,V1q_2E0)
     => ( s(tyop_2Emin_2Ebool,V2r_2E0) = s(tyop_2Emin_2Ebool,V3s_2E0)
       => ( ( p(s(tyop_2Emin_2Ebool,V0p_2E0))
            & p(s(tyop_2Emin_2Ebool,V2r_2E0)) )
        <=> ( p(s(tyop_2Emin_2Ebool,V1q_2E0))
            & p(s(tyop_2Emin_2Ebool,V3s_2E0)) ) ) ) ) ).

fof(thm_2EHolSmt_2ENOT__NOT__ELIM,axiom,
    ! [V0p_2E0] :
      ( ~ ~ p(s(tyop_2Emin_2Ebool,V0p_2E0))
     => p(s(tyop_2Emin_2Ebool,V0p_2E0)) ) ).

fof(thm_2EHolSmt_2ENOT__FALSE,axiom,
    ! [V0A_2E0] :
      ( p(s(tyop_2Emin_2Ebool,V0A_2E0))
     => ( ~ p(s(tyop_2Emin_2Ebool,V0A_2E0))
       => p(s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0)) ) ) ).

fof(thm_2EHolSmt_2ENNF__CONJ,axiom,
    ! [V0p_2E0,V1q_2E0,V2r_2E0,V3s_2E0] :
      ( ( ~ p(s(tyop_2Emin_2Ebool,V0p_2E0))
      <=> p(s(tyop_2Emin_2Ebool,V2r_2E0)) )
     => ( ( ~ p(s(tyop_2Emin_2Ebool,V1q_2E0))
        <=> p(s(tyop_2Emin_2Ebool,V3s_2E0)) )
       => ( ~ ( p(s(tyop_2Emin_2Ebool,V0p_2E0))
              & p(s(tyop_2Emin_2Ebool,V1q_2E0)) )
        <=> ( p(s(tyop_2Emin_2Ebool,V2r_2E0))
            | p(s(tyop_2Emin_2Ebool,V3s_2E0)) ) ) ) ) ).

fof(thm_2EHolSmt_2ENNF__DISJ,axiom,
    ! [V0p_2E0,V1q_2E0,V2r_2E0,V3s_2E0] :
      ( ( ~ p(s(tyop_2Emin_2Ebool,V0p_2E0))
      <=> p(s(tyop_2Emin_2Ebool,V2r_2E0)) )
     => ( ( ~ p(s(tyop_2Emin_2Ebool,V1q_2E0))
        <=> p(s(tyop_2Emin_2Ebool,V3s_2E0)) )
       => ( ~ ( p(s(tyop_2Emin_2Ebool,V0p_2E0))
              | p(s(tyop_2Emin_2Ebool,V1q_2E0)) )
        <=> ( p(s(tyop_2Emin_2Ebool,V2r_2E0))
            & p(s(tyop_2Emin_2Ebool,V3s_2E0)) ) ) ) ) ).

fof(thm_2EHolSmt_2ENNF__NOT__NOT,axiom,
    ! [V0p_2E0,V1q_2E0] :
      ( s(tyop_2Emin_2Ebool,V0p_2E0) = s(tyop_2Emin_2Ebool,V1q_2E0)
     => ( ~ ~ p(s(tyop_2Emin_2Ebool,V0p_2E0))
      <=> p(s(tyop_2Emin_2Ebool,V1q_2E0)) ) ) ).

fof(thm_2EHolSmt_2ENEG__IFF__1__1,axiom,
    ! [V0p_2E0,V1q_2E0] :
      ( s(tyop_2Emin_2Ebool,V1q_2E0) = s(tyop_2Emin_2Ebool,V0p_2E0)
     => ~ ( p(s(tyop_2Emin_2Ebool,V0p_2E0))
        <=> ~ p(s(tyop_2Emin_2Ebool,V1q_2E0)) ) ) ).

fof(thm_2EHolSmt_2ENEG__IFF__1__2,axiom,
    ! [V0p_2E0,V1q_2E0] :
      ( ~ ( p(s(tyop_2Emin_2Ebool,V0p_2E0))
        <=> ~ p(s(tyop_2Emin_2Ebool,V1q_2E0)) )
     => s(tyop_2Emin_2Ebool,V1q_2E0) = s(tyop_2Emin_2Ebool,V0p_2E0) ) ).

fof(thm_2EHolSmt_2ENEG__IFF__2__1,axiom,
    ! [V0p_2E0,V1q_2E0] :
      ( ( p(s(tyop_2Emin_2Ebool,V0p_2E0))
      <=> ~ p(s(tyop_2Emin_2Ebool,V1q_2E0)) )
     => s(tyop_2Emin_2Ebool,V0p_2E0) != s(tyop_2Emin_2Ebool,V1q_2E0) ) ).

fof(thm_2EHolSmt_2ENEG__IFF__2__2,axiom,
    ! [V0p_2E0,V1q_2E0] :
      ( s(tyop_2Emin_2Ebool,V0p_2E0) != s(tyop_2Emin_2Ebool,V1q_2E0)
     => ( p(s(tyop_2Emin_2Ebool,V0p_2E0))
      <=> ~ p(s(tyop_2Emin_2Ebool,V1q_2E0)) ) ) ).

fof(thm_2EHolSmt_2EDISJ__ELIM__1,axiom,
    ! [V0p_2E0,V1q_2E0,V2r_2E0] :
      ( ( ( p(s(tyop_2Emin_2Ebool,V0p_2E0))
          | p(s(tyop_2Emin_2Ebool,V1q_2E0)) )
       => p(s(tyop_2Emin_2Ebool,V2r_2E0)) )
     => ( p(s(tyop_2Emin_2Ebool,V0p_2E0))
       => p(s(tyop_2Emin_2Ebool,V2r_2E0)) ) ) ).

fof(thm_2EHolSmt_2EDISJ__ELIM__2,axiom,
    ! [V0p_2E0,V1q_2E0,V2r_2E0] :
      ( ( ( p(s(tyop_2Emin_2Ebool,V0p_2E0))
          | p(s(tyop_2Emin_2Ebool,V1q_2E0)) )
       => p(s(tyop_2Emin_2Ebool,V2r_2E0)) )
     => ( p(s(tyop_2Emin_2Ebool,V1q_2E0))
       => p(s(tyop_2Emin_2Ebool,V2r_2E0)) ) ) ).

fof(thm_2EHolSmt_2EIMP__DISJ__1,axiom,
    ! [V0p_2E0,V1q_2E0] :
      ( ( p(s(tyop_2Emin_2Ebool,V0p_2E0))
       => p(s(tyop_2Emin_2Ebool,V1q_2E0)) )
     => ( ~ p(s(tyop_2Emin_2Ebool,V0p_2E0))
        | p(s(tyop_2Emin_2Ebool,V1q_2E0)) ) ) ).

fof(thm_2EHolSmt_2EIMP__DISJ__2,axiom,
    ! [V0p_2E0,V1q_2E0] :
      ( ( ~ p(s(tyop_2Emin_2Ebool,V0p_2E0))
       => p(s(tyop_2Emin_2Ebool,V1q_2E0)) )
     => ( p(s(tyop_2Emin_2Ebool,V0p_2E0))
        | p(s(tyop_2Emin_2Ebool,V1q_2E0)) ) ) ).

fof(thm_2EHolSmt_2EIMP__FALSE,axiom,
    ! [V0p_2E0] :
      ( ( ~ p(s(tyop_2Emin_2Ebool,V0p_2E0))
       => p(s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0)) )
     => p(s(tyop_2Emin_2Ebool,V0p_2E0)) ) ).

fof(thm_2EHolSmt_2EAND__IMP__INTRO__SYM,axiom,
    ! [V0A_2E0,V1B_2E0,V2C_2E0] :
      ( ( ( p(s(tyop_2Emin_2Ebool,V0A_2E0))
          & p(s(tyop_2Emin_2Ebool,V1B_2E0)) )
       => p(s(tyop_2Emin_2Ebool,V2C_2E0)) )
    <=> ( p(s(tyop_2Emin_2Ebool,V0A_2E0))
       => ( p(s(tyop_2Emin_2Ebool,V1B_2E0))
         => p(s(tyop_2Emin_2Ebool,V2C_2E0)) ) ) ) ).

fof(thm_2EHolSmt_2EVALID__IFF__TRUE,axiom,
    ! [V0b_2E0] :
      ( p(s(tyop_2Emin_2Ebool,V0b_2E0))
     => s(tyop_2Emin_2Ebool,V0b_2E0) = s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0) ) ).

fof(thm_2EHolSmt_2Ed001,axiom,
    ! [V0q_2E0,V1p_2E0] :
      ( s(tyop_2Emin_2Ebool,V1p_2E0) != s(tyop_2Emin_2Ebool,V0q_2E0)
      | ~ p(s(tyop_2Emin_2Ebool,V1p_2E0))
      | p(s(tyop_2Emin_2Ebool,V0q_2E0)) ) ).

fof(thm_2EHolSmt_2Ed002,axiom,
    ! [V0q_2E0,V1p_2E0] :
      ( s(tyop_2Emin_2Ebool,V1p_2E0) != s(tyop_2Emin_2Ebool,V0q_2E0)
      | p(s(tyop_2Emin_2Ebool,V1p_2E0))
      | ~ p(s(tyop_2Emin_2Ebool,V0q_2E0)) ) ).

fof(thm_2EHolSmt_2Ed003,axiom,
    ! [V0q_2E0,V1p_2E0] :
      ( ( p(s(tyop_2Emin_2Ebool,V1p_2E0))
      <=> ~ p(s(tyop_2Emin_2Ebool,V0q_2E0)) )
      | ~ p(s(tyop_2Emin_2Ebool,V1p_2E0))
      | p(s(tyop_2Emin_2Ebool,V0q_2E0)) ) ).

fof(thm_2EHolSmt_2Ed004,axiom,
    ! [V0q_2E0,V1p_2E0] :
      ( ( ~ p(s(tyop_2Emin_2Ebool,V1p_2E0))
      <=> p(s(tyop_2Emin_2Ebool,V0q_2E0)) )
      | p(s(tyop_2Emin_2Ebool,V1p_2E0))
      | ~ p(s(tyop_2Emin_2Ebool,V0q_2E0)) ) ).

fof(thm_2EHolSmt_2Ed005,axiom,
    ! [V0q_2E0,V1p_2E0] :
      ( s(tyop_2Emin_2Ebool,V1p_2E0) = s(tyop_2Emin_2Ebool,V0q_2E0)
      | ~ p(s(tyop_2Emin_2Ebool,V1p_2E0))
      | ~ p(s(tyop_2Emin_2Ebool,V0q_2E0)) ) ).

fof(thm_2EHolSmt_2Ed006,axiom,
    ! [V0q_2E0,V1p_2E0] :
      ( s(tyop_2Emin_2Ebool,V1p_2E0) = s(tyop_2Emin_2Ebool,V0q_2E0)
      | p(s(tyop_2Emin_2Ebool,V1p_2E0))
      | p(s(tyop_2Emin_2Ebool,V0q_2E0)) ) ).

fof(thm_2EHolSmt_2Ed007,axiom,
    ! [V0q_2E0,V1p_2E0] :
      ( ~ ( ~ p(s(tyop_2Emin_2Ebool,V1p_2E0))
        <=> p(s(tyop_2Emin_2Ebool,V0q_2E0)) )
      | p(s(tyop_2Emin_2Ebool,V1p_2E0))
      | p(s(tyop_2Emin_2Ebool,V0q_2E0)) ) ).

fof(thm_2EHolSmt_2Ed008,axiom,
    ! [V0q_2E0,V1p_2E0] :
      ( ~ ( p(s(tyop_2Emin_2Ebool,V1p_2E0))
        <=> ~ p(s(tyop_2Emin_2Ebool,V0q_2E0)) )
      | p(s(tyop_2Emin_2Ebool,V1p_2E0))
      | p(s(tyop_2Emin_2Ebool,V0q_2E0)) ) ).

fof(thm_2EHolSmt_2Ed009,axiom,
    ! [V0q_2E0,V1p_2E0] :
      ( ~ p(s(tyop_2Emin_2Ebool,V1p_2E0))
      | p(s(tyop_2Emin_2Ebool,V0q_2E0))
      | s(tyop_2Emin_2Ebool,V1p_2E0) != s(tyop_2Emin_2Ebool,V0q_2E0) ) ).

fof(thm_2EHolSmt_2Ed010,axiom,
    ! [V0q_2E0,V1p_2E0] :
      ( p(s(tyop_2Emin_2Ebool,V1p_2E0))
      | ~ p(s(tyop_2Emin_2Ebool,V0q_2E0))
      | s(tyop_2Emin_2Ebool,V1p_2E0) != s(tyop_2Emin_2Ebool,V0q_2E0) ) ).

fof(thm_2EHolSmt_2Ed011,axiom,
    ! [V0q_2E0,V1p_2E0] :
      ( p(s(tyop_2Emin_2Ebool,V1p_2E0))
      | p(s(tyop_2Emin_2Ebool,V0q_2E0))
      | ~ ( ~ p(s(tyop_2Emin_2Ebool,V1p_2E0))
        <=> p(s(tyop_2Emin_2Ebool,V0q_2E0)) ) ) ).

fof(thm_2EHolSmt_2Ed012,axiom,
    ! [V0q_2E0,V1p_2E0] :
      ( p(s(tyop_2Emin_2Ebool,V1p_2E0))
      | p(s(tyop_2Emin_2Ebool,V0q_2E0))
      | ~ ( p(s(tyop_2Emin_2Ebool,V1p_2E0))
        <=> ~ p(s(tyop_2Emin_2Ebool,V0q_2E0)) ) ) ).

fof(thm_2EHolSmt_2Ed013,axiom,
    ! [V0q_2E0,V1p_2E0] :
      ( ( ~ p(s(tyop_2Emin_2Ebool,V1p_2E0))
        & ~ p(s(tyop_2Emin_2Ebool,V0q_2E0)) )
      | p(s(tyop_2Emin_2Ebool,V1p_2E0))
      | p(s(tyop_2Emin_2Ebool,V0q_2E0)) ) ).

fof(thm_2EHolSmt_2Ed014,axiom,
    ! [V0q_2E0,V1p_2E0] :
      ( ( ~ p(s(tyop_2Emin_2Ebool,V1p_2E0))
        & p(s(tyop_2Emin_2Ebool,V0q_2E0)) )
      | p(s(tyop_2Emin_2Ebool,V1p_2E0))
      | ~ p(s(tyop_2Emin_2Ebool,V0q_2E0)) ) ).

fof(thm_2EHolSmt_2Ed015,axiom,
    ! [V0q_2E0,V1p_2E0] :
      ( ( p(s(tyop_2Emin_2Ebool,V1p_2E0))
        & ~ p(s(tyop_2Emin_2Ebool,V0q_2E0)) )
      | ~ p(s(tyop_2Emin_2Ebool,V1p_2E0))
      | p(s(tyop_2Emin_2Ebool,V0q_2E0)) ) ).

fof(thm_2EHolSmt_2Ed016,axiom,
    ! [V0q_2E0,V1p_2E0] :
      ( ( p(s(tyop_2Emin_2Ebool,V1p_2E0))
        & p(s(tyop_2Emin_2Ebool,V0q_2E0)) )
      | ~ p(s(tyop_2Emin_2Ebool,V1p_2E0))
      | ~ p(s(tyop_2Emin_2Ebool,V0q_2E0)) ) ).

fof(thm_2EHolSmt_2Ed017,axiom,
    ! [A_27a,V0y_2E0,V1x_2E0,V2p_2E0] :
      ( p(s(tyop_2Emin_2Ebool,V2p_2E0))
      | s(A_27a,V0y_2E0) = s(A_27a,c_2Ebool_2ECOND_2E3(s(tyop_2Emin_2Ebool,V2p_2E0),s(A_27a,V1x_2E0),s(A_27a,V0y_2E0))) ) ).

fof(thm_2EHolSmt_2Ed018,axiom,
    ! [A_27a,V0y_2E0,V1x_2E0,V2p_2E0] :
      ( ~ p(s(tyop_2Emin_2Ebool,V2p_2E0))
      | s(A_27a,V1x_2E0) = s(A_27a,c_2Ebool_2ECOND_2E3(s(tyop_2Emin_2Ebool,V2p_2E0),s(A_27a,V1x_2E0),s(A_27a,V0y_2E0))) ) ).

fof(thm_2EHolSmt_2Ed019,axiom,
    ! [A_27a,V0y_2E0,V1x_2E0,V2p_2E0] :
      ( p(s(tyop_2Emin_2Ebool,V2p_2E0))
      | s(A_27a,c_2Ebool_2ECOND_2E3(s(tyop_2Emin_2Ebool,V2p_2E0),s(A_27a,V1x_2E0),s(A_27a,V0y_2E0))) = s(A_27a,V0y_2E0) ) ).

fof(thm_2EHolSmt_2Ed020,axiom,
    ! [A_27a,V0y_2E0,V1x_2E0,V2p_2E0] :
      ( ~ p(s(tyop_2Emin_2Ebool,V2p_2E0))
      | s(A_27a,c_2Ebool_2ECOND_2E3(s(tyop_2Emin_2Ebool,V2p_2E0),s(A_27a,V1x_2E0),s(A_27a,V0y_2E0))) = s(A_27a,V1x_2E0) ) ).

fof(thm_2EHolSmt_2Ed021,axiom,
    ! [V0r_2E0,V1q_2E0,V2p_2E0] :
      ( p(s(tyop_2Emin_2Ebool,V2p_2E0))
      | p(s(tyop_2Emin_2Ebool,V1q_2E0))
      | ~ p(s(tyop_2Emin_2Ebool,c_2Ebool_2ECOND_2E3(s(tyop_2Emin_2Ebool,V2p_2E0),s(tyop_2Emin_2Ebool,V0r_2E0),s(tyop_2Emin_2Ebool,V1q_2E0)))) ) ).

fof(thm_2EHolSmt_2Ed022,axiom,
    ! [V0r_2E0,V1q_2E0,V2p_2E0] :
      ( ~ p(s(tyop_2Emin_2Ebool,V2p_2E0))
      | p(s(tyop_2Emin_2Ebool,V1q_2E0))
      | ~ p(s(tyop_2Emin_2Ebool,c_2Ebool_2ECOND_2E3(s(tyop_2Emin_2Ebool,V2p_2E0),s(tyop_2Emin_2Ebool,V1q_2E0),s(tyop_2Emin_2Ebool,V0r_2E0)))) ) ).

fof(thm_2EHolSmt_2Ed023,axiom,
    ! [V0r_2E0,V1q_2E0,V2p_2E0] :
      ( p(s(tyop_2Emin_2Ebool,c_2Ebool_2ECOND_2E3(s(tyop_2Emin_2Ebool,V2p_2E0),s(tyop_2Emin_2Ebool,V1q_2E0),s(tyop_2Emin_2Ebool,V0r_2E0))))
      | ~ p(s(tyop_2Emin_2Ebool,V2p_2E0))
      | ~ p(s(tyop_2Emin_2Ebool,V1q_2E0)) ) ).

fof(thm_2EHolSmt_2Ed024,axiom,
    ! [V0r_2E0,V1q_2E0,V2p_2E0] :
      ( p(s(tyop_2Emin_2Ebool,c_2Ebool_2ECOND_2E3(s(tyop_2Emin_2Ebool,V2p_2E0),s(tyop_2Emin_2Ebool,V1q_2E0),s(tyop_2Emin_2Ebool,V0r_2E0))))
      | p(s(tyop_2Emin_2Ebool,V2p_2E0))
      | ~ p(s(tyop_2Emin_2Ebool,V0r_2E0)) ) ).

fof(thm_2EHolSmt_2Ed025,axiom,
    ! [F0_2E0] :
      ( ! [V1q_2E0] :
          ( p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool),F0_2E0),s(tyop_2Emin_2Ebool,V1q_2E0))))
        <=> ~ p(s(tyop_2Emin_2Ebool,V1q_2E0)) )
     => ! [V0r_2E0,V1q_2E0,V2p_2E0] :
          ( p(s(tyop_2Emin_2Ebool,c_2Ebool_2ECOND_2E3(s(tyop_2Emin_2Ebool,V2p_2E0),s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool),F0_2E0),s(tyop_2Emin_2Ebool,V1q_2E0))),s(tyop_2Emin_2Ebool,V0r_2E0))))
          | ~ p(s(tyop_2Emin_2Ebool,V2p_2E0))
          | p(s(tyop_2Emin_2Ebool,V1q_2E0)) ) ) ).

fof(thm_2EHolSmt_2Ed026,axiom,
    ! [F0_2E0] :
      ( ! [V0r_2E0] :
          ( p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool),F0_2E0),s(tyop_2Emin_2Ebool,V0r_2E0))))
        <=> ~ p(s(tyop_2Emin_2Ebool,V0r_2E0)) )
     => ! [V0r_2E0,V1q_2E0,V2p_2E0] :
          ( p(s(tyop_2Emin_2Ebool,c_2Ebool_2ECOND_2E3(s(tyop_2Emin_2Ebool,V2p_2E0),s(tyop_2Emin_2Ebool,V1q_2E0),s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool),F0_2E0),s(tyop_2Emin_2Ebool,V0r_2E0))))))
          | p(s(tyop_2Emin_2Ebool,V2p_2E0))
          | p(s(tyop_2Emin_2Ebool,V0r_2E0)) ) ) ).

fof(thm_2EHolSmt_2Ed027,axiom,
    ! [V0r_2E0,V1q_2E0,V2p_2E0] :
      ( ~ p(s(tyop_2Emin_2Ebool,c_2Ebool_2ECOND_2E3(s(tyop_2Emin_2Ebool,V2p_2E0),s(tyop_2Emin_2Ebool,V1q_2E0),s(tyop_2Emin_2Ebool,V0r_2E0))))
      | ~ p(s(tyop_2Emin_2Ebool,V2p_2E0))
      | p(s(tyop_2Emin_2Ebool,V1q_2E0)) ) ).

fof(thm_2EHolSmt_2Ed028,axiom,
    ! [V0r_2E0,V1q_2E0,V2p_2E0] :
      ( ~ p(s(tyop_2Emin_2Ebool,c_2Ebool_2ECOND_2E3(s(tyop_2Emin_2Ebool,V2p_2E0),s(tyop_2Emin_2Ebool,V1q_2E0),s(tyop_2Emin_2Ebool,V0r_2E0))))
      | p(s(tyop_2Emin_2Ebool,V2p_2E0))
      | p(s(tyop_2Emin_2Ebool,V0r_2E0)) ) ).

fof(thm_2EHolSmt_2Er001,axiom,
    ! [A_27a,V0y_2E0,V1x_2E0] :
      ( s(A_27a,V1x_2E0) = s(A_27a,V0y_2E0)
    <=> s(A_27a,V0y_2E0) = s(A_27a,V1x_2E0) ) ).

fof(thm_2EHolSmt_2Er002,axiom,
    ! [A_27a,V0x_2E0] :
      ( s(A_27a,V0x_2E0) = s(A_27a,V0x_2E0)
    <=> p(s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0)) ) ).

fof(thm_2EHolSmt_2Er003,axiom,
    ! [V0p_2E0] :
      ( s(tyop_2Emin_2Ebool,V0p_2E0) = s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0)
    <=> p(s(tyop_2Emin_2Ebool,V0p_2E0)) ) ).

fof(thm_2EHolSmt_2Er004,axiom,
    ! [V0p_2E0] :
      ( s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0) = s(tyop_2Emin_2Ebool,V0p_2E0)
    <=> p(s(tyop_2Emin_2Ebool,V0p_2E0)) ) ).

fof(thm_2EHolSmt_2Er005,axiom,
    ! [V0p_2E0] :
      ( s(tyop_2Emin_2Ebool,V0p_2E0) = s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0)
    <=> ~ p(s(tyop_2Emin_2Ebool,V0p_2E0)) ) ).

fof(thm_2EHolSmt_2Er006,axiom,
    ! [V0p_2E0] :
      ( s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0) = s(tyop_2Emin_2Ebool,V0p_2E0)
    <=> ~ p(s(tyop_2Emin_2Ebool,V0p_2E0)) ) ).

fof(thm_2EHolSmt_2Er007,axiom,
    ! [V0q_2E0,V1p_2E0] :
      ( ( ~ p(s(tyop_2Emin_2Ebool,V1p_2E0))
      <=> ~ p(s(tyop_2Emin_2Ebool,V0q_2E0)) )
    <=> s(tyop_2Emin_2Ebool,V1p_2E0) = s(tyop_2Emin_2Ebool,V0q_2E0) ) ).

fof(thm_2EHolSmt_2Er008,axiom,
    ! [V0q_2E0,V1p_2E0] :
      ( ~ ( p(s(tyop_2Emin_2Ebool,V1p_2E0))
        <=> ~ p(s(tyop_2Emin_2Ebool,V0q_2E0)) )
    <=> s(tyop_2Emin_2Ebool,V1p_2E0) = s(tyop_2Emin_2Ebool,V0q_2E0) ) ).

fof(thm_2EHolSmt_2Er009,axiom,
    ! [V0q_2E0,V1p_2E0] :
      ( ~ ( ~ p(s(tyop_2Emin_2Ebool,V1p_2E0))
        <=> p(s(tyop_2Emin_2Ebool,V0q_2E0)) )
    <=> s(tyop_2Emin_2Ebool,V1p_2E0) = s(tyop_2Emin_2Ebool,V0q_2E0) ) ).

fof(thm_2EHolSmt_2Er010,axiom,
    ! [A_27a,V0y_2E0,V1x_2E0] : s(A_27a,c_2Ebool_2ECOND_2E3(s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0),s(A_27a,V1x_2E0),s(A_27a,V0y_2E0))) = s(A_27a,V1x_2E0) ).

fof(thm_2EHolSmt_2Er011,axiom,
    ! [A_27a,V0y_2E0,V1x_2E0] : s(A_27a,c_2Ebool_2ECOND_2E3(s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0),s(A_27a,V1x_2E0),s(A_27a,V0y_2E0))) = s(A_27a,V0y_2E0) ).

fof(thm_2EHolSmt_2Er012,axiom,
    ! [V0q_2E0,V1p_2E0] :
      ( p(s(tyop_2Emin_2Ebool,c_2Ebool_2ECOND_2E3(s(tyop_2Emin_2Ebool,V1p_2E0),s(tyop_2Emin_2Ebool,V0q_2E0),s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0))))
    <=> ( ~ p(s(tyop_2Emin_2Ebool,V1p_2E0))
        | p(s(tyop_2Emin_2Ebool,V0q_2E0)) ) ) ).

fof(thm_2EHolSmt_2Er013,axiom,
    ! [V0q_2E0,V1p_2E0] :
      ( p(s(tyop_2Emin_2Ebool,c_2Ebool_2ECOND_2E3(s(tyop_2Emin_2Ebool,V1p_2E0),s(tyop_2Emin_2Ebool,V0q_2E0),s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0))))
    <=> ( p(s(tyop_2Emin_2Ebool,V0q_2E0))
        | ~ p(s(tyop_2Emin_2Ebool,V1p_2E0)) ) ) ).

fof(thm_2EHolSmt_2Er014,axiom,
    ! [F0_2E0] :
      ( ! [V0q_2E0] :
          ( p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool),F0_2E0),s(tyop_2Emin_2Ebool,V0q_2E0))))
        <=> ~ p(s(tyop_2Emin_2Ebool,V0q_2E0)) )
     => ! [V0q_2E0,V1p_2E0] :
          ( p(s(tyop_2Emin_2Ebool,c_2Ebool_2ECOND_2E3(s(tyop_2Emin_2Ebool,V1p_2E0),s(tyop_2Emin_2Ebool,V0q_2E0),s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool),F0_2E0),s(tyop_2Emin_2Ebool,V0q_2E0))))))
        <=> s(tyop_2Emin_2Ebool,V1p_2E0) = s(tyop_2Emin_2Ebool,V0q_2E0) ) ) ).

fof(thm_2EHolSmt_2Er015,axiom,
    ! [F0_2E0] :
      ( ! [V0q_2E0] :
          ( p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool),F0_2E0),s(tyop_2Emin_2Ebool,V0q_2E0))))
        <=> ~ p(s(tyop_2Emin_2Ebool,V0q_2E0)) )
     => ! [V0q_2E0,V1p_2E0] :
          ( p(s(tyop_2Emin_2Ebool,c_2Ebool_2ECOND_2E3(s(tyop_2Emin_2Ebool,V1p_2E0),s(tyop_2Emin_2Ebool,V0q_2E0),s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool),F0_2E0),s(tyop_2Emin_2Ebool,V0q_2E0))))))
        <=> s(tyop_2Emin_2Ebool,V0q_2E0) = s(tyop_2Emin_2Ebool,V1p_2E0) ) ) ).

fof(thm_2EHolSmt_2Er016,axiom,
    ! [F0_2E0] :
      ( ! [V0q_2E0] :
          ( p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool),F0_2E0),s(tyop_2Emin_2Ebool,V0q_2E0))))
        <=> ~ p(s(tyop_2Emin_2Ebool,V0q_2E0)) )
     => ! [V0q_2E0,V1p_2E0] :
          ( p(s(tyop_2Emin_2Ebool,c_2Ebool_2ECOND_2E3(s(tyop_2Emin_2Ebool,V1p_2E0),s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool),F0_2E0),s(tyop_2Emin_2Ebool,V0q_2E0))),s(tyop_2Emin_2Ebool,V0q_2E0))))
        <=> ( p(s(tyop_2Emin_2Ebool,V1p_2E0))
          <=> ~ p(s(tyop_2Emin_2Ebool,V0q_2E0)) ) ) ) ).

fof(thm_2EHolSmt_2Er017,axiom,
    ! [F0_2E0] :
      ( ! [V0q_2E0] :
          ( p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool),F0_2E0),s(tyop_2Emin_2Ebool,V0q_2E0))))
        <=> ~ p(s(tyop_2Emin_2Ebool,V0q_2E0)) )
     => ! [V0q_2E0,V1p_2E0] :
          ( p(s(tyop_2Emin_2Ebool,c_2Ebool_2ECOND_2E3(s(tyop_2Emin_2Ebool,V1p_2E0),s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool),F0_2E0),s(tyop_2Emin_2Ebool,V0q_2E0))),s(tyop_2Emin_2Ebool,V0q_2E0))))
        <=> ( ~ p(s(tyop_2Emin_2Ebool,V0q_2E0))
          <=> p(s(tyop_2Emin_2Ebool,V1p_2E0)) ) ) ) ).

fof(thm_2EHolSmt_2Er018,axiom,
    ! [A_27a,F0_2E0] :
      ( ! [V2p_2E0] :
          ( p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool),F0_2E0),s(tyop_2Emin_2Ebool,V2p_2E0))))
        <=> ~ p(s(tyop_2Emin_2Ebool,V2p_2E0)) )
     => ! [V0y_2E0,V1x_2E0,V2p_2E0] : s(A_27a,c_2Ebool_2ECOND_2E3(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool),F0_2E0),s(tyop_2Emin_2Ebool,V2p_2E0))),s(A_27a,V1x_2E0),s(A_27a,V0y_2E0))) = s(A_27a,c_2Ebool_2ECOND_2E3(s(tyop_2Emin_2Ebool,V2p_2E0),s(A_27a,V0y_2E0),s(A_27a,V1x_2E0))) ) ).

fof(thm_2EHolSmt_2Er019,axiom,
    ! [A_27a,F0_2E0] :
      ( ! [V3p_2E0,V2q_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)),F0_2E0),s(tyop_2Emin_2Ebool,V3p_2E0))),s(tyop_2Emin_2Ebool,V2q_2E0))))
        <=> ( p(s(tyop_2Emin_2Ebool,V3p_2E0))
            & ~ p(s(tyop_2Emin_2Ebool,V2q_2E0)) ) )
     => ! [V0y_2E0,V1x_2E0,V2q_2E0,V3p_2E0] : s(A_27a,c_2Ebool_2ECOND_2E3(s(tyop_2Emin_2Ebool,V3p_2E0),s(A_27a,c_2Ebool_2ECOND_2E3(s(tyop_2Emin_2Ebool,V2q_2E0),s(A_27a,V1x_2E0),s(A_27a,V0y_2E0))),s(A_27a,V1x_2E0))) = s(A_27a,c_2Ebool_2ECOND_2E3(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)),F0_2E0),s(tyop_2Emin_2Ebool,V3p_2E0))),s(tyop_2Emin_2Ebool,V2q_2E0))),s(A_27a,V0y_2E0),s(A_27a,V1x_2E0))) ) ).

fof(thm_2EHolSmt_2Er020,axiom,
    ! [A_27a,F0_2E0] :
      ( ! [V2q_2E0,V3p_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)),F0_2E0),s(tyop_2Emin_2Ebool,V2q_2E0))),s(tyop_2Emin_2Ebool,V3p_2E0))))
        <=> ( ~ p(s(tyop_2Emin_2Ebool,V2q_2E0))
            & p(s(tyop_2Emin_2Ebool,V3p_2E0)) ) )
     => ! [V0y_2E0,V1x_2E0,V2q_2E0,V3p_2E0] : s(A_27a,c_2Ebool_2ECOND_2E3(s(tyop_2Emin_2Ebool,V3p_2E0),s(A_27a,c_2Ebool_2ECOND_2E3(s(tyop_2Emin_2Ebool,V2q_2E0),s(A_27a,V1x_2E0),s(A_27a,V0y_2E0))),s(A_27a,V1x_2E0))) = s(A_27a,c_2Ebool_2ECOND_2E3(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)),F0_2E0),s(tyop_2Emin_2Ebool,V2q_2E0))),s(tyop_2Emin_2Ebool,V3p_2E0))),s(A_27a,V0y_2E0),s(A_27a,V1x_2E0))) ) ).

fof(thm_2EHolSmt_2Er021,axiom,
    ! [A_27a,F0_2E0] :
      ( ! [V3p_2E0,V2q_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)),F0_2E0),s(tyop_2Emin_2Ebool,V3p_2E0))),s(tyop_2Emin_2Ebool,V2q_2E0))))
        <=> ( p(s(tyop_2Emin_2Ebool,V3p_2E0))
            & p(s(tyop_2Emin_2Ebool,V2q_2E0)) ) )
     => ! [V0y_2E0,V1x_2E0,V2q_2E0,V3p_2E0] : s(A_27a,c_2Ebool_2ECOND_2E3(s(tyop_2Emin_2Ebool,V3p_2E0),s(A_27a,c_2Ebool_2ECOND_2E3(s(tyop_2Emin_2Ebool,V2q_2E0),s(A_27a,V1x_2E0),s(A_27a,V0y_2E0))),s(A_27a,V0y_2E0))) = s(A_27a,c_2Ebool_2ECOND_2E3(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)),F0_2E0),s(tyop_2Emin_2Ebool,V3p_2E0))),s(tyop_2Emin_2Ebool,V2q_2E0))),s(A_27a,V1x_2E0),s(A_27a,V0y_2E0))) ) ).

fof(thm_2EHolSmt_2Er022,axiom,
    ! [A_27a,F0_2E0] :
      ( ! [V2q_2E0,V3p_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)),F0_2E0),s(tyop_2Emin_2Ebool,V2q_2E0))),s(tyop_2Emin_2Ebool,V3p_2E0))))
        <=> ( p(s(tyop_2Emin_2Ebool,V2q_2E0))
            & p(s(tyop_2Emin_2Ebool,V3p_2E0)) ) )
     => ! [V0y_2E0,V1x_2E0,V2q_2E0,V3p_2E0] : s(A_27a,c_2Ebool_2ECOND_2E3(s(tyop_2Emin_2Ebool,V3p_2E0),s(A_27a,c_2Ebool_2ECOND_2E3(s(tyop_2Emin_2Ebool,V2q_2E0),s(A_27a,V1x_2E0),s(A_27a,V0y_2E0))),s(A_27a,V0y_2E0))) = s(A_27a,c_2Ebool_2ECOND_2E3(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)),F0_2E0),s(tyop_2Emin_2Ebool,V2q_2E0))),s(tyop_2Emin_2Ebool,V3p_2E0))),s(A_27a,V1x_2E0),s(A_27a,V0y_2E0))) ) ).

fof(thm_2EHolSmt_2Er023,axiom,
    ! [A_27a,V0z_2E0,V1y_2E0,V2x_2E0,V3p_2E0] : s(A_27a,c_2Ebool_2ECOND_2E3(s(tyop_2Emin_2Ebool,V3p_2E0),s(A_27a,V2x_2E0),s(A_27a,c_2Ebool_2ECOND_2E3(s(tyop_2Emin_2Ebool,V3p_2E0),s(A_27a,V1y_2E0),s(A_27a,V0z_2E0))))) = s(A_27a,c_2Ebool_2ECOND_2E3(s(tyop_2Emin_2Ebool,V3p_2E0),s(A_27a,V2x_2E0),s(A_27a,V0z_2E0))) ).

fof(thm_2EHolSmt_2Er024,axiom,
    ! [A_27a,F0_2E0] :
      ( ! [V3p_2E0,V2q_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)),F0_2E0),s(tyop_2Emin_2Ebool,V3p_2E0))),s(tyop_2Emin_2Ebool,V2q_2E0))))
        <=> ( p(s(tyop_2Emin_2Ebool,V3p_2E0))
            | p(s(tyop_2Emin_2Ebool,V2q_2E0)) ) )
     => ! [V0y_2E0,V1x_2E0,V2q_2E0,V3p_2E0] : s(A_27a,c_2Ebool_2ECOND_2E3(s(tyop_2Emin_2Ebool,V3p_2E0),s(A_27a,V1x_2E0),s(A_27a,c_2Ebool_2ECOND_2E3(s(tyop_2Emin_2Ebool,V2q_2E0),s(A_27a,V1x_2E0),s(A_27a,V0y_2E0))))) = s(A_27a,c_2Ebool_2ECOND_2E3(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)),F0_2E0),s(tyop_2Emin_2Ebool,V3p_2E0))),s(tyop_2Emin_2Ebool,V2q_2E0))),s(A_27a,V1x_2E0),s(A_27a,V0y_2E0))) ) ).

fof(thm_2EHolSmt_2Er025,axiom,
    ! [A_27a,F0_2E0] :
      ( ! [V2q_2E0,V3p_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)),F0_2E0),s(tyop_2Emin_2Ebool,V2q_2E0))),s(tyop_2Emin_2Ebool,V3p_2E0))))
        <=> ( p(s(tyop_2Emin_2Ebool,V2q_2E0))
            | p(s(tyop_2Emin_2Ebool,V3p_2E0)) ) )
     => ! [V0y_2E0,V1x_2E0,V2q_2E0,V3p_2E0] : s(A_27a,c_2Ebool_2ECOND_2E3(s(tyop_2Emin_2Ebool,V3p_2E0),s(A_27a,V1x_2E0),s(A_27a,c_2Ebool_2ECOND_2E3(s(tyop_2Emin_2Ebool,V2q_2E0),s(A_27a,V1x_2E0),s(A_27a,V0y_2E0))))) = s(A_27a,c_2Ebool_2ECOND_2E3(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)),F0_2E0),s(tyop_2Emin_2Ebool,V2q_2E0))),s(tyop_2Emin_2Ebool,V3p_2E0))),s(A_27a,V1x_2E0),s(A_27a,V0y_2E0))) ) ).

fof(thm_2EHolSmt_2Er026,axiom,
    ! [A_27a,F0_2E0] :
      ( ! [V2x_2E0,V1y_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)),F0_2E0),s(A_27a,V2x_2E0))),s(A_27a,V1y_2E0))))
        <=> s(A_27a,V2x_2E0) = s(A_27a,V1y_2E0) )
     => ! [V0z_2E0,V1y_2E0,V2x_2E0,V3p_2E0] :
          ( p(s(tyop_2Emin_2Ebool,c_2Ebool_2ECOND_2E3(s(tyop_2Emin_2Ebool,V3p_2E0),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)),F0_2E0),s(A_27a,V2x_2E0))),s(A_27a,V1y_2E0))),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)),F0_2E0),s(A_27a,V2x_2E0))),s(A_27a,V0z_2E0))))))
        <=> s(A_27a,V2x_2E0) = s(A_27a,c_2Ebool_2ECOND_2E3(s(tyop_2Emin_2Ebool,V3p_2E0),s(A_27a,V1y_2E0),s(A_27a,V0z_2E0))) ) ) ).

fof(thm_2EHolSmt_2Er027,axiom,
    ! [A_27a,F0_2E0] :
      ( ! [V2x_2E0,V1y_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)),F0_2E0),s(A_27a,V2x_2E0))),s(A_27a,V1y_2E0))))
        <=> s(A_27a,V2x_2E0) = s(A_27a,V1y_2E0) )
     => ! [V0z_2E0,V1y_2E0,V2x_2E0,V3p_2E0] :
          ( p(s(tyop_2Emin_2Ebool,c_2Ebool_2ECOND_2E3(s(tyop_2Emin_2Ebool,V3p_2E0),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)),F0_2E0),s(A_27a,V2x_2E0))),s(A_27a,V1y_2E0))),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)),F0_2E0),s(A_27a,V1y_2E0))),s(A_27a,V0z_2E0))))))
        <=> s(A_27a,V1y_2E0) = s(A_27a,c_2Ebool_2ECOND_2E3(s(tyop_2Emin_2Ebool,V3p_2E0),s(A_27a,V2x_2E0),s(A_27a,V0z_2E0))) ) ) ).

fof(thm_2EHolSmt_2Er028,axiom,
    ! [A_27a,F0_2E0] :
      ( ! [V2x_2E0,V1y_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)),F0_2E0),s(A_27a,V2x_2E0))),s(A_27a,V1y_2E0))))
        <=> s(A_27a,V2x_2E0) = s(A_27a,V1y_2E0) )
     => ! [V0z_2E0,V1y_2E0,V2x_2E0,V3p_2E0] :
          ( p(s(tyop_2Emin_2Ebool,c_2Ebool_2ECOND_2E3(s(tyop_2Emin_2Ebool,V3p_2E0),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)),F0_2E0),s(A_27a,V2x_2E0))),s(A_27a,V1y_2E0))),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)),F0_2E0),s(A_27a,V0z_2E0))),s(A_27a,V1y_2E0))))))
        <=> s(A_27a,V1y_2E0) = s(A_27a,c_2Ebool_2ECOND_2E3(s(tyop_2Emin_2Ebool,V3p_2E0),s(A_27a,V2x_2E0),s(A_27a,V0z_2E0))) ) ) ).

fof(thm_2EHolSmt_2Er029,axiom,
    ! [V0q_2E0,V1p_2E0] :
      ( ( ~ p(s(tyop_2Emin_2Ebool,V1p_2E0))
       => p(s(tyop_2Emin_2Ebool,V0q_2E0)) )
    <=> ( p(s(tyop_2Emin_2Ebool,V1p_2E0))
        | p(s(tyop_2Emin_2Ebool,V0q_2E0)) ) ) ).

fof(thm_2EHolSmt_2Er030,axiom,
    ! [V0q_2E0,V1p_2E0] :
      ( ( ~ p(s(tyop_2Emin_2Ebool,V1p_2E0))
       => p(s(tyop_2Emin_2Ebool,V0q_2E0)) )
    <=> ( p(s(tyop_2Emin_2Ebool,V0q_2E0))
        | p(s(tyop_2Emin_2Ebool,V1p_2E0)) ) ) ).

fof(thm_2EHolSmt_2Er031,axiom,
    ! [V0q_2E0,V1p_2E0] :
      ( ( p(s(tyop_2Emin_2Ebool,V1p_2E0))
       => p(s(tyop_2Emin_2Ebool,V0q_2E0)) )
    <=> ( ~ p(s(tyop_2Emin_2Ebool,V1p_2E0))
        | p(s(tyop_2Emin_2Ebool,V0q_2E0)) ) ) ).

fof(thm_2EHolSmt_2Er032,axiom,
    ! [V0q_2E0,V1p_2E0] :
      ( ( p(s(tyop_2Emin_2Ebool,V1p_2E0))
       => p(s(tyop_2Emin_2Ebool,V0q_2E0)) )
    <=> ( p(s(tyop_2Emin_2Ebool,V0q_2E0))
        | ~ p(s(tyop_2Emin_2Ebool,V1p_2E0)) ) ) ).

fof(thm_2EHolSmt_2Er033,axiom,
    ! [V0t_2E0] :
      ( ( p(s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0))
       => p(s(tyop_2Emin_2Ebool,V0t_2E0)) )
    <=> p(s(tyop_2Emin_2Ebool,V0t_2E0)) ) ).

fof(thm_2EHolSmt_2Er034,axiom,
    ! [V0t_2E0] :
      ( ( p(s(tyop_2Emin_2Ebool,V0t_2E0))
       => p(s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0)) )
    <=> p(s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0)) ) ).

fof(thm_2EHolSmt_2Er035,axiom,
    ! [V0t_2E0] :
      ( ( p(s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0))
       => p(s(tyop_2Emin_2Ebool,V0t_2E0)) )
    <=> p(s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0)) ) ).

fof(thm_2EHolSmt_2Er036,axiom,
    ! [V0t_2E0] :
      ( ( p(s(tyop_2Emin_2Ebool,V0t_2E0))
       => p(s(tyop_2Emin_2Ebool,V0t_2E0)) )
    <=> p(s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0)) ) ).

fof(thm_2EHolSmt_2Er037,axiom,
    ! [V0r_2E0,V1q_2E0,V2p_2E0] :
      ( ( s(tyop_2Emin_2Ebool,V2p_2E0) = s(tyop_2Emin_2Ebool,V1q_2E0)
       => p(s(tyop_2Emin_2Ebool,V0r_2E0)) )
    <=> ( p(s(tyop_2Emin_2Ebool,V0r_2E0))
        | ( p(s(tyop_2Emin_2Ebool,V1q_2E0))
        <=> ~ p(s(tyop_2Emin_2Ebool,V2p_2E0)) ) ) ) ).

fof(thm_2EHolSmt_2Er038,axiom,
    ( ~ p(s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0))
  <=> p(s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0)) ) ).

fof(thm_2EHolSmt_2Er039,axiom,
    ( ~ p(s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0))
  <=> p(s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0)) ) ).

fof(thm_2EHolSmt_2Er040,axiom,
    ! [V0t_2E0] :
      ( ~ ~ p(s(tyop_2Emin_2Ebool,V0t_2E0))
    <=> p(s(tyop_2Emin_2Ebool,V0t_2E0)) ) ).

fof(thm_2EHolSmt_2Er041,axiom,
    ! [V0q_2E0,V1p_2E0] :
      ( ( p(s(tyop_2Emin_2Ebool,V1p_2E0))
        | p(s(tyop_2Emin_2Ebool,V0q_2E0)) )
    <=> ( p(s(tyop_2Emin_2Ebool,V0q_2E0))
        | p(s(tyop_2Emin_2Ebool,V1p_2E0)) ) ) ).

fof(thm_2EHolSmt_2Er042,axiom,
    ! [V0t_2E0] :
      ( ( p(s(tyop_2Emin_2Ebool,V0t_2E0))
        | p(s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0)) )
    <=> p(s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0)) ) ).

fof(thm_2EHolSmt_2Er043,axiom,
    ! [V0p_2E0] :
      ( ( p(s(tyop_2Emin_2Ebool,V0p_2E0))
        | ~ p(s(tyop_2Emin_2Ebool,V0p_2E0)) )
    <=> p(s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0)) ) ).

fof(thm_2EHolSmt_2Er044,axiom,
    ! [V0p_2E0] :
      ( ( ~ p(s(tyop_2Emin_2Ebool,V0p_2E0))
        | p(s(tyop_2Emin_2Ebool,V0p_2E0)) )
    <=> p(s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0)) ) ).

fof(thm_2EHolSmt_2Er045,axiom,
    ! [V0t_2E0] :
      ( ( p(s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0))
        | p(s(tyop_2Emin_2Ebool,V0t_2E0)) )
    <=> p(s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0)) ) ).

fof(thm_2EHolSmt_2Er046,axiom,
    ! [V0t_2E0] :
      ( ( p(s(tyop_2Emin_2Ebool,V0t_2E0))
        | p(s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0)) )
    <=> p(s(tyop_2Emin_2Ebool,V0t_2E0)) ) ).

fof(thm_2EHolSmt_2Er047,axiom,
    ! [V0t_2E0] :
      ( ( p(s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0))
        | p(s(tyop_2Emin_2Ebool,V0t_2E0)) )
    <=> p(s(tyop_2Emin_2Ebool,V0t_2E0)) ) ).

fof(thm_2EHolSmt_2Er048,axiom,
    ! [V0q_2E0,V1p_2E0] :
      ( ( p(s(tyop_2Emin_2Ebool,V1p_2E0))
        & p(s(tyop_2Emin_2Ebool,V0q_2E0)) )
    <=> ( p(s(tyop_2Emin_2Ebool,V0q_2E0))
        & p(s(tyop_2Emin_2Ebool,V1p_2E0)) ) ) ).

fof(thm_2EHolSmt_2Er049,axiom,
    ! [V0t_2E0] :
      ( ( p(s(tyop_2Emin_2Ebool,V0t_2E0))
        & p(s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0)) )
    <=> p(s(tyop_2Emin_2Ebool,V0t_2E0)) ) ).

fof(thm_2EHolSmt_2Er050,axiom,
    ! [V0t_2E0] :
      ( ( p(s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0))
        & p(s(tyop_2Emin_2Ebool,V0t_2E0)) )
    <=> p(s(tyop_2Emin_2Ebool,V0t_2E0)) ) ).

fof(thm_2EHolSmt_2Er051,axiom,
    ! [V0t_2E0] :
      ( ( p(s(tyop_2Emin_2Ebool,V0t_2E0))
        & p(s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0)) )
    <=> p(s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0)) ) ).

fof(thm_2EHolSmt_2Er052,axiom,
    ! [V0t_2E0] :
      ( ( p(s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0))
        & p(s(tyop_2Emin_2Ebool,V0t_2E0)) )
    <=> p(s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0)) ) ).

fof(thm_2EHolSmt_2Er053,axiom,
    ! [V0q_2E0,V1p_2E0] :
      ( ( p(s(tyop_2Emin_2Ebool,V1p_2E0))
        & p(s(tyop_2Emin_2Ebool,V0q_2E0)) )
    <=> ~ ( ~ p(s(tyop_2Emin_2Ebool,V1p_2E0))
          | ~ p(s(tyop_2Emin_2Ebool,V0q_2E0)) ) ) ).

fof(thm_2EHolSmt_2Er054,axiom,
    ! [V0q_2E0,V1p_2E0] :
      ( ( ~ p(s(tyop_2Emin_2Ebool,V1p_2E0))
        & p(s(tyop_2Emin_2Ebool,V0q_2E0)) )
    <=> ~ ( p(s(tyop_2Emin_2Ebool,V1p_2E0))
          | ~ p(s(tyop_2Emin_2Ebool,V0q_2E0)) ) ) ).

fof(thm_2EHolSmt_2Er055,axiom,
    ! [V0q_2E0,V1p_2E0] :
      ( ( p(s(tyop_2Emin_2Ebool,V1p_2E0))
        & ~ p(s(tyop_2Emin_2Ebool,V0q_2E0)) )
    <=> ~ ( ~ p(s(tyop_2Emin_2Ebool,V1p_2E0))
          | p(s(tyop_2Emin_2Ebool,V0q_2E0)) ) ) ).

fof(thm_2EHolSmt_2Er056,axiom,
    ! [V0q_2E0,V1p_2E0] :
      ( ( ~ p(s(tyop_2Emin_2Ebool,V1p_2E0))
        & ~ p(s(tyop_2Emin_2Ebool,V0q_2E0)) )
    <=> ~ ( p(s(tyop_2Emin_2Ebool,V1p_2E0))
          | p(s(tyop_2Emin_2Ebool,V0q_2E0)) ) ) ).

fof(thm_2EHolSmt_2Er057,axiom,
    ! [V0q_2E0,V1p_2E0] :
      ( ( p(s(tyop_2Emin_2Ebool,V1p_2E0))
        & p(s(tyop_2Emin_2Ebool,V0q_2E0)) )
    <=> ~ ( ~ p(s(tyop_2Emin_2Ebool,V0q_2E0))
          | ~ p(s(tyop_2Emin_2Ebool,V1p_2E0)) ) ) ).

fof(thm_2EHolSmt_2Er058,axiom,
    ! [V0q_2E0,V1p_2E0] :
      ( ( ~ p(s(tyop_2Emin_2Ebool,V1p_2E0))
        & p(s(tyop_2Emin_2Ebool,V0q_2E0)) )
    <=> ~ ( ~ p(s(tyop_2Emin_2Ebool,V0q_2E0))
          | p(s(tyop_2Emin_2Ebool,V1p_2E0)) ) ) ).

fof(thm_2EHolSmt_2Er059,axiom,
    ! [V0q_2E0,V1p_2E0] :
      ( ( p(s(tyop_2Emin_2Ebool,V1p_2E0))
        & ~ p(s(tyop_2Emin_2Ebool,V0q_2E0)) )
    <=> ~ ( p(s(tyop_2Emin_2Ebool,V0q_2E0))
          | ~ p(s(tyop_2Emin_2Ebool,V1p_2E0)) ) ) ).

fof(thm_2EHolSmt_2Er060,axiom,
    ! [V0q_2E0,V1p_2E0] :
      ( ( ~ p(s(tyop_2Emin_2Ebool,V1p_2E0))
        & ~ p(s(tyop_2Emin_2Ebool,V0q_2E0)) )
    <=> ~ ( p(s(tyop_2Emin_2Ebool,V0q_2E0))
          | p(s(tyop_2Emin_2Ebool,V1p_2E0)) ) ) ).

fof(thm_2EHolSmt_2Er061,axiom,
    ! [A_27a,A_27b,V0x_2E0,V1f_2E0] : s(tyop_2Emin_2Efun(A_27a,A_27b),c_2Ecombin_2EUPDATE_2E3(s(A_27a,V0x_2E0),s(A_27b,app_2E2(s(tyop_2Emin_2Efun(A_27a,A_27b),V1f_2E0),s(A_27a,V0x_2E0))),s(tyop_2Emin_2Efun(A_27a,A_27b),V1f_2E0))) = s(tyop_2Emin_2Efun(A_27a,A_27b),V1f_2E0) ).

fof(thm_2EHolSmt_2Er062,axiom,
    ! [A_27a,V0x_2E0] : s(tyop_2Emin_2Ebool,c_2Elist_2EALL__DISTINCT_2E1(s(tyop_2Elist_2Elist(A_27a),c_2Elist_2ECONS_2E2(s(A_27a,V0x_2E0),s(tyop_2Elist_2Elist(A_27a),c_2Elist_2ECONS_2E2(s(A_27a,V0x_2E0),s(tyop_2Elist_2Elist(A_27a),c_2Elist_2ENIL_2E0))))))) = s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0) ).

fof(thm_2EHolSmt_2Er063,axiom,
    ! [A_27a,V0y_2E0,V1x_2E0] :
      ( p(s(tyop_2Emin_2Ebool,c_2Elist_2EALL__DISTINCT_2E1(s(tyop_2Elist_2Elist(A_27a),c_2Elist_2ECONS_2E2(s(A_27a,V1x_2E0),s(tyop_2Elist_2Elist(A_27a),c_2Elist_2ECONS_2E2(s(A_27a,V0y_2E0),s(tyop_2Elist_2Elist(A_27a),c_2Elist_2ENIL_2E0))))))))
    <=> s(A_27a,V1x_2E0) != s(A_27a,V0y_2E0) ) ).

fof(thm_2EHolSmt_2Er064,axiom,
    ! [A_27a,V0y_2E0,V1x_2E0] :
      ( p(s(tyop_2Emin_2Ebool,c_2Elist_2EALL__DISTINCT_2E1(s(tyop_2Elist_2Elist(A_27a),c_2Elist_2ECONS_2E2(s(A_27a,V1x_2E0),s(tyop_2Elist_2Elist(A_27a),c_2Elist_2ECONS_2E2(s(A_27a,V0y_2E0),s(tyop_2Elist_2Elist(A_27a),c_2Elist_2ENIL_2E0))))))))
    <=> s(A_27a,V0y_2E0) != s(A_27a,V1x_2E0) ) ).

fof(thm_2EHolSmt_2Er065,axiom,
    ! [V0y_2E0,V1x_2E0] :
      ( s(tyop_2Einteger_2Eint,V1x_2E0) = s(tyop_2Einteger_2Eint,V0y_2E0)
    <=> s(tyop_2Einteger_2Eint,c_2Einteger_2Eint__add_2E2(s(tyop_2Einteger_2Eint,V1x_2E0),s(tyop_2Einteger_2Eint,c_2Einteger_2Eint__mul_2E2(s(tyop_2Einteger_2Eint,c_2Einteger_2Eint__neg_2E1(s(tyop_2Einteger_2Eint,c_2Einteger_2Eint__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_2Einteger_2Eint,V0y_2E0))))) = s(tyop_2Einteger_2Eint,c_2Einteger_2Eint__of__num_2E1(s(tyop_2Enum_2Enum,c_2Enum_2E0_2E0))) ) ).

fof(thm_2EHolSmt_2Er066,axiom,
    ! [V0z_2E0,V1y_2E0,V2x_2E0] :
      ( s(tyop_2Einteger_2Eint,V2x_2E0) = s(tyop_2Einteger_2Eint,c_2Einteger_2Eint__add_2E2(s(tyop_2Einteger_2Eint,V1y_2E0),s(tyop_2Einteger_2Eint,V0z_2E0)))
    <=> s(tyop_2Einteger_2Eint,c_2Einteger_2Eint__add_2E2(s(tyop_2Einteger_2Eint,V2x_2E0),s(tyop_2Einteger_2Eint,c_2Einteger_2Eint__mul_2E2(s(tyop_2Einteger_2Eint,c_2Einteger_2Eint__neg_2E1(s(tyop_2Einteger_2Eint,c_2Einteger_2Eint__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_2Einteger_2Eint,V0z_2E0))))) = s(tyop_2Einteger_2Eint,V1y_2E0) ) ).

fof(thm_2EHolSmt_2Er067,axiom,
    ! [V0z_2E0,V1y_2E0,V2x_2E0] :
      ( s(tyop_2Einteger_2Eint,V2x_2E0) = s(tyop_2Einteger_2Eint,c_2Einteger_2Eint__add_2E2(s(tyop_2Einteger_2Eint,V1y_2E0),s(tyop_2Einteger_2Eint,c_2Einteger_2Eint__mul_2E2(s(tyop_2Einteger_2Eint,c_2Einteger_2Eint__neg_2E1(s(tyop_2Einteger_2Eint,c_2Einteger_2Eint__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_2Einteger_2Eint,V0z_2E0)))))
    <=> s(tyop_2Einteger_2Eint,c_2Einteger_2Eint__add_2E2(s(tyop_2Einteger_2Eint,V2x_2E0),s(tyop_2Einteger_2Eint,c_2Einteger_2Eint__add_2E2(s(tyop_2Einteger_2Eint,c_2Einteger_2Eint__mul_2E2(s(tyop_2Einteger_2Eint,c_2Einteger_2Eint__neg_2E1(s(tyop_2Einteger_2Eint,c_2Einteger_2Eint__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_2Einteger_2Eint,V1y_2E0))),s(tyop_2Einteger_2Eint,V0z_2E0))))) = s(tyop_2Einteger_2Eint,c_2Einteger_2Eint__of__num_2E1(s(tyop_2Enum_2Enum,c_2Enum_2E0_2E0))) ) ).

fof(thm_2EHolSmt_2Er068,axiom,
    ! [V0z_2E0,V1y_2E0,V2x_2E0] :
      ( s(tyop_2Einteger_2Eint,V2x_2E0) = s(tyop_2Einteger_2Eint,c_2Einteger_2Eint__add_2E2(s(tyop_2Einteger_2Eint,c_2Einteger_2Eint__mul_2E2(s(tyop_2Einteger_2Eint,c_2Einteger_2Eint__neg_2E1(s(tyop_2Einteger_2Eint,c_2Einteger_2Eint__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_2Einteger_2Eint,V1y_2E0))),s(tyop_2Einteger_2Eint,V0z_2E0)))
    <=> s(tyop_2Einteger_2Eint,c_2Einteger_2Eint__add_2E2(s(tyop_2Einteger_2Eint,V1y_2E0),s(tyop_2Einteger_2Eint,c_2Einteger_2Eint__add_2E2(s(tyop_2Einteger_2Eint,c_2Einteger_2Eint__mul_2E2(s(tyop_2Einteger_2Eint,c_2Einteger_2Eint__neg_2E1(s(tyop_2Einteger_2Eint,c_2Einteger_2Eint__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_2Einteger_2Eint,V0z_2E0))),s(tyop_2Einteger_2Eint,V2x_2E0))))) = s(tyop_2Einteger_2Eint,c_2Einteger_2Eint__of__num_2E1(s(tyop_2Enum_2Enum,c_2Enum_2E0_2E0))) ) ).

fof(thm_2EHolSmt_2Er069,axiom,
    ! [V0z_2E0,V1y_2E0,V2x_2E0] :
      ( s(tyop_2Einteger_2Eint,V2x_2E0) = s(tyop_2Einteger_2Eint,c_2Einteger_2Eint__add_2E2(s(tyop_2Einteger_2Eint,V1y_2E0),s(tyop_2Einteger_2Eint,V0z_2E0)))
    <=> s(tyop_2Einteger_2Eint,c_2Einteger_2Eint__add_2E2(s(tyop_2Einteger_2Eint,V2x_2E0),s(tyop_2Einteger_2Eint,c_2Einteger_2Eint__add_2E2(s(tyop_2Einteger_2Eint,c_2Einteger_2Eint__mul_2E2(s(tyop_2Einteger_2Eint,c_2Einteger_2Eint__neg_2E1(s(tyop_2Einteger_2Eint,c_2Einteger_2Eint__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_2Einteger_2Eint,V1y_2E0))),s(tyop_2Einteger_2Eint,c_2Einteger_2Eint__mul_2E2(s(tyop_2Einteger_2Eint,c_2Einteger_2Eint__neg_2E1(s(tyop_2Einteger_2Eint,c_2Einteger_2Eint__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_2Einteger_2Eint,V0z_2E0))))))) = s(tyop_2Einteger_2Eint,c_2Einteger_2Eint__of__num_2E1(s(tyop_2Enum_2Enum,c_2Enum_2E0_2E0))) ) ).

fof(thm_2EHolSmt_2Er070,axiom,
    ! [V0z_2E0,V1y_2E0,V2x_2E0] :
      ( s(tyop_2Einteger_2Eint,V2x_2E0) = s(tyop_2Einteger_2Eint,c_2Einteger_2Eint__add_2E2(s(tyop_2Einteger_2Eint,V1y_2E0),s(tyop_2Einteger_2Eint,V0z_2E0)))
    <=> s(tyop_2Einteger_2Eint,c_2Einteger_2Eint__add_2E2(s(tyop_2Einteger_2Eint,V1y_2E0),s(tyop_2Einteger_2Eint,c_2Einteger_2Eint__add_2E2(s(tyop_2Einteger_2Eint,V0z_2E0),s(tyop_2Einteger_2Eint,c_2Einteger_2Eint__mul_2E2(s(tyop_2Einteger_2Eint,c_2Einteger_2Eint__neg_2E1(s(tyop_2Einteger_2Eint,c_2Einteger_2Eint__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_2Einteger_2Eint,V2x_2E0))))))) = s(tyop_2Einteger_2Eint,c_2Einteger_2Eint__of__num_2E1(s(tyop_2Enum_2Enum,c_2Enum_2E0_2E0))) ) ).

fof(thm_2EHolSmt_2Er071,axiom,
    ! [V0z_2E0,V1y_2E0,V2x_2E0] :
      ( s(tyop_2Einteger_2Eint,V2x_2E0) = s(tyop_2Einteger_2Eint,c_2Einteger_2Eint__add_2E2(s(tyop_2Einteger_2Eint,V1y_2E0),s(tyop_2Einteger_2Eint,V0z_2E0)))
    <=> s(tyop_2Einteger_2Eint,c_2Einteger_2Eint__add_2E2(s(tyop_2Einteger_2Eint,V1y_2E0),s(tyop_2Einteger_2Eint,c_2Einteger_2Eint__add_2E2(s(tyop_2Einteger_2Eint,c_2Einteger_2Eint__mul_2E2(s(tyop_2Einteger_2Eint,c_2Einteger_2Eint__neg_2E1(s(tyop_2Einteger_2Eint,c_2Einteger_2Eint__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_2Einteger_2Eint,V2x_2E0))),s(tyop_2Einteger_2Eint,V0z_2E0))))) = s(tyop_2Einteger_2Eint,c_2Einteger_2Eint__of__num_2E1(s(tyop_2Enum_2Enum,c_2Enum_2E0_2E0))) ) ).

fof(thm_2EHolSmt_2Er072,axiom,
    ! [V0z_2E0,V1y_2E0,V2x_2E0] :
      ( s(tyop_2Einteger_2Eint,V2x_2E0) = s(tyop_2Einteger_2Eint,c_2Einteger_2Eint__add_2E2(s(tyop_2Einteger_2Eint,V1y_2E0),s(tyop_2Einteger_2Eint,V0z_2E0)))
    <=> s(tyop_2Einteger_2Eint,c_2Einteger_2Eint__add_2E2(s(tyop_2Einteger_2Eint,V0z_2E0),s(tyop_2Einteger_2Eint,c_2Einteger_2Eint__mul_2E2(s(tyop_2Einteger_2Eint,c_2Einteger_2Eint__neg_2E1(s(tyop_2Einteger_2Eint,c_2Einteger_2Eint__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_2Einteger_2Eint,V2x_2E0))))) = s(tyop_2Einteger_2Eint,c_2Einteger_2Eint__neg_2E1(s(tyop_2Einteger_2Eint,V1y_2E0))) ) ).

fof(thm_2EHolSmt_2Er073,axiom,
    ! [V0z_2E0,V1y_2E0,V2x_2E0] :
      ( s(tyop_2Einteger_2Eint,V2x_2E0) = s(tyop_2Einteger_2Eint,c_2Einteger_2Eint__add_2E2(s(tyop_2Einteger_2Eint,c_2Einteger_2Eint__neg_2E1(s(tyop_2Einteger_2Eint,V1y_2E0))),s(tyop_2Einteger_2Eint,V0z_2E0)))
    <=> s(tyop_2Einteger_2Eint,c_2Einteger_2Eint__add_2E2(s(tyop_2Einteger_2Eint,V0z_2E0),s(tyop_2Einteger_2Eint,c_2Einteger_2Eint__mul_2E2(s(tyop_2Einteger_2Eint,c_2Einteger_2Eint__neg_2E1(s(tyop_2Einteger_2Eint,c_2Einteger_2Eint__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_2Einteger_2Eint,V2x_2E0))))) = s(tyop_2Einteger_2Eint,V1y_2E0) ) ).

fof(thm_2EHolSmt_2Er074,axiom,
    ! [V0y_2E0,V1x_2E0] :
      ( s(tyop_2Einteger_2Eint,c_2Einteger_2Eint__mul_2E2(s(tyop_2Einteger_2Eint,c_2Einteger_2Eint__neg_2E1(s(tyop_2Einteger_2Eint,c_2Einteger_2Eint__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_2Einteger_2Eint,V1x_2E0))) = s(tyop_2Einteger_2Eint,c_2Einteger_2Eint__neg_2E1(s(tyop_2Einteger_2Eint,V0y_2E0)))
    <=> s(tyop_2Einteger_2Eint,V1x_2E0) = s(tyop_2Einteger_2Eint,V0y_2E0) ) ).

fof(thm_2EHolSmt_2Er075,axiom,
    ! [V0z_2E0,V1y_2E0,V2x_2E0] :
      ( s(tyop_2Einteger_2Eint,c_2Einteger_2Eint__add_2E2(s(tyop_2Einteger_2Eint,c_2Einteger_2Eint__mul_2E2(s(tyop_2Einteger_2Eint,c_2Einteger_2Eint__neg_2E1(s(tyop_2Einteger_2Eint,c_2Einteger_2Eint__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_2Einteger_2Eint,V2x_2E0))),s(tyop_2Einteger_2Eint,V1y_2E0))) = s(tyop_2Einteger_2Eint,V0z_2E0)
    <=> s(tyop_2Einteger_2Eint,c_2Einteger_2Eint__add_2E2(s(tyop_2Einteger_2Eint,V2x_2E0),s(tyop_2Einteger_2Eint,c_2Einteger_2Eint__mul_2E2(s(tyop_2Einteger_2Eint,c_2Einteger_2Eint__neg_2E1(s(tyop_2Einteger_2Eint,c_2Einteger_2Eint__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_2Einteger_2Eint,V1y_2E0))))) = s(tyop_2Einteger_2Eint,c_2Einteger_2Eint__neg_2E1(s(tyop_2Einteger_2Eint,V0z_2E0))) ) ).

fof(thm_2EHolSmt_2Er076,axiom,
    ! [V0y_2E0,V1x_2E0] :
      ( s(tyop_2Einteger_2Eint,c_2Einteger_2Eint__add_2E2(s(tyop_2Einteger_2Eint,V1x_2E0),s(tyop_2Einteger_2Eint,V0y_2E0))) = s(tyop_2Einteger_2Eint,c_2Einteger_2Eint__of__num_2E1(s(tyop_2Enum_2Enum,c_2Enum_2E0_2E0)))
    <=> s(tyop_2Einteger_2Eint,V0y_2E0) = s(tyop_2Einteger_2Eint,c_2Einteger_2Eint__neg_2E1(s(tyop_2Einteger_2Eint,V1x_2E0))) ) ).

fof(thm_2EHolSmt_2Er077,axiom,
    ! [V0z_2E0,V1y_2E0,V2x_2E0] :
      ( s(tyop_2Einteger_2Eint,c_2Einteger_2Eint__add_2E2(s(tyop_2Einteger_2Eint,V2x_2E0),s(tyop_2Einteger_2Eint,V1y_2E0))) = s(tyop_2Einteger_2Eint,V0z_2E0)
    <=> s(tyop_2Einteger_2Eint,c_2Einteger_2Eint__add_2E2(s(tyop_2Einteger_2Eint,V1y_2E0),s(tyop_2Einteger_2Eint,c_2Einteger_2Eint__mul_2E2(s(tyop_2Einteger_2Eint,c_2Einteger_2Eint__neg_2E1(s(tyop_2Einteger_2Eint,c_2Einteger_2Eint__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_2Einteger_2Eint,V0z_2E0))))) = s(tyop_2Einteger_2Eint,c_2Einteger_2Eint__neg_2E1(s(tyop_2Einteger_2Eint,V2x_2E0))) ) ).

fof(thm_2EHolSmt_2Er078,axiom,
    ! [V0z_2E0,V1y_2E0,V2x_2E0,V3w_2E0,V4v_2E0,V5a_2E0] :
      ( s(tyop_2Einteger_2Eint,c_2Einteger_2Eint__add_2E2(s(tyop_2Einteger_2Eint,V5a_2E0),s(tyop_2Einteger_2Eint,c_2Einteger_2Eint__add_2E2(s(tyop_2Einteger_2Eint,c_2Einteger_2Eint__mul_2E2(s(tyop_2Einteger_2Eint,c_2Einteger_2Eint__neg_2E1(s(tyop_2Einteger_2Eint,c_2Einteger_2Eint__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_2Einteger_2Eint,V2x_2E0))),s(tyop_2Einteger_2Eint,c_2Einteger_2Eint__add_2E2(s(tyop_2Einteger_2Eint,c_2Einteger_2Eint__mul_2E2(s(tyop_2Einteger_2Eint,V4v_2E0),s(tyop_2Einteger_2Eint,V1y_2E0))),s(tyop_2Einteger_2Eint,c_2Einteger_2Eint__mul_2E2(s(tyop_2Einteger_2Eint,V3w_2E0),s(tyop_2Einteger_2Eint,V0z_2E0))))))))) = s(tyop_2Einteger_2Eint,c_2Einteger_2Eint__of__num_2E1(s(tyop_2Enum_2Enum,c_2Enum_2E0_2E0)))
    <=> s(tyop_2Einteger_2Eint,c_2Einteger_2Eint__add_2E2(s(tyop_2Einteger_2Eint,V2x_2E0),s(tyop_2Einteger_2Eint,c_2Einteger_2Eint__add_2E2(s(tyop_2Einteger_2Eint,c_2Einteger_2Eint__mul_2E2(s(tyop_2Einteger_2Eint,c_2Einteger_2Eint__neg_2E1(s(tyop_2Einteger_2Eint,V4v_2E0))),s(tyop_2Einteger_2Eint,V1y_2E0))),s(tyop_2Einteger_2Eint,c_2Einteger_2Eint__mul_2E2(s(tyop_2Einteger_2Eint,c_2Einteger_2Eint__neg_2E1(s(tyop_2Einteger_2Eint,V3w_2E0))),s(tyop_2Einteger_2Eint,V0z_2E0))))))) = s(tyop_2Einteger_2Eint,V5a_2E0) ) ).

fof(thm_2EHolSmt_2Er079,axiom,
    ! [V0x_2E0] : s(tyop_2Einteger_2Eint,c_2Einteger_2Eint__add_2E2(s(tyop_2Einteger_2Eint,c_2Einteger_2Eint__of__num_2E1(s(tyop_2Enum_2Enum,c_2Enum_2E0_2E0))),s(tyop_2Einteger_2Eint,V0x_2E0))) = s(tyop_2Einteger_2Eint,V0x_2E0) ).

fof(thm_2EHolSmt_2Er080,axiom,
    ! [V0x_2E0] : s(tyop_2Einteger_2Eint,c_2Einteger_2Eint__add_2E2(s(tyop_2Einteger_2Eint,V0x_2E0),s(tyop_2Einteger_2Eint,c_2Einteger_2Eint__of__num_2E1(s(tyop_2Enum_2Enum,c_2Enum_2E0_2E0))))) = s(tyop_2Einteger_2Eint,V0x_2E0) ).

fof(thm_2EHolSmt_2Er081,axiom,
    ! [V0y_2E0,V1x_2E0] : s(tyop_2Einteger_2Eint,c_2Einteger_2Eint__add_2E2(s(tyop_2Einteger_2Eint,V1x_2E0),s(tyop_2Einteger_2Eint,V0y_2E0))) = s(tyop_2Einteger_2Eint,c_2Einteger_2Eint__add_2E2(s(tyop_2Einteger_2Eint,V0y_2E0),s(tyop_2Einteger_2Eint,V1x_2E0))) ).

fof(thm_2EHolSmt_2Er082,axiom,
    ! [V0x_2E0] : s(tyop_2Einteger_2Eint,c_2Einteger_2Eint__add_2E2(s(tyop_2Einteger_2Eint,V0x_2E0),s(tyop_2Einteger_2Eint,V0x_2E0))) = s(tyop_2Einteger_2Eint,c_2Einteger_2Eint__mul_2E2(s(tyop_2Einteger_2Eint,c_2Einteger_2Eint__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_2Einteger_2Eint,V0x_2E0))) ).

fof(thm_2EHolSmt_2Er083,axiom,
    ! [V0z_2E0,V1y_2E0,V2x_2E0] : s(tyop_2Einteger_2Eint,c_2Einteger_2Eint__add_2E2(s(tyop_2Einteger_2Eint,c_2Einteger_2Eint__add_2E2(s(tyop_2Einteger_2Eint,V2x_2E0),s(tyop_2Einteger_2Eint,V1y_2E0))),s(tyop_2Einteger_2Eint,V0z_2E0))) = s(tyop_2Einteger_2Eint,c_2Einteger_2Eint__add_2E2(s(tyop_2Einteger_2Eint,V2x_2E0),s(tyop_2Einteger_2Eint,c_2Einteger_2Eint__add_2E2(s(tyop_2Einteger_2Eint,V1y_2E0),s(tyop_2Einteger_2Eint,V0z_2E0))))) ).

fof(thm_2EHolSmt_2Er084,axiom,
    ! [V0z_2E0,V1y_2E0,V2x_2E0] : s(tyop_2Einteger_2Eint,c_2Einteger_2Eint__add_2E2(s(tyop_2Einteger_2Eint,c_2Einteger_2Eint__add_2E2(s(tyop_2Einteger_2Eint,V2x_2E0),s(tyop_2Einteger_2Eint,V1y_2E0))),s(tyop_2Einteger_2Eint,V0z_2E0))) = s(tyop_2Einteger_2Eint,c_2Einteger_2Eint__add_2E2(s(tyop_2Einteger_2Eint,V2x_2E0),s(tyop_2Einteger_2Eint,c_2Einteger_2Eint__add_2E2(s(tyop_2Einteger_2Eint,V0z_2E0),s(tyop_2Einteger_2Eint,V1y_2E0))))) ).

fof(thm_2EHolSmt_2Er085,axiom,
    ! [V0z_2E0,V1y_2E0,V2x_2E0] : s(tyop_2Einteger_2Eint,c_2Einteger_2Eint__add_2E2(s(tyop_2Einteger_2Eint,V2x_2E0),s(tyop_2Einteger_2Eint,c_2Einteger_2Eint__add_2E2(s(tyop_2Einteger_2Eint,V1y_2E0),s(tyop_2Einteger_2Eint,V0z_2E0))))) = s(tyop_2Einteger_2Eint,c_2Einteger_2Eint__add_2E2(s(tyop_2Einteger_2Eint,V1y_2E0),s(tyop_2Einteger_2Eint,c_2Einteger_2Eint__add_2E2(s(tyop_2Einteger_2Eint,V0z_2E0),s(tyop_2Einteger_2Eint,V2x_2E0))))) ).

fof(thm_2EHolSmt_2Er086,axiom,
    ! [V0z_2E0,V1y_2E0,V2x_2E0] : s(tyop_2Einteger_2Eint,c_2Einteger_2Eint__add_2E2(s(tyop_2Einteger_2Eint,V2x_2E0),s(tyop_2Einteger_2Eint,c_2Einteger_2Eint__add_2E2(s(tyop_2Einteger_2Eint,V1y_2E0),s(tyop_2Einteger_2Eint,V0z_2E0))))) = s(tyop_2Einteger_2Eint,c_2Einteger_2Eint__add_2E2(s(tyop_2Einteger_2Eint,V1y_2E0),s(tyop_2Einteger_2Eint,c_2Einteger_2Eint__add_2E2(s(tyop_2Einteger_2Eint,V2x_2E0),s(tyop_2Einteger_2Eint,V0z_2E0))))) ).

fof(thm_2EHolSmt_2Er087,axiom,
    ! [V0z_2E0,V1y_2E0,V2x_2E0,V3u_2E0] : s(tyop_2Einteger_2Eint,c_2Einteger_2Eint__add_2E2(s(tyop_2Einteger_2Eint,V2x_2E0),s(tyop_2Einteger_2Eint,c_2Einteger_2Eint__add_2E2(s(tyop_2Einteger_2Eint,V1y_2E0),s(tyop_2Einteger_2Eint,c_2Einteger_2Eint__add_2E2(s(tyop_2Einteger_2Eint,V0z_2E0),s(tyop_2Einteger_2Eint,V3u_2E0))))))) = s(tyop_2Einteger_2Eint,c_2Einteger_2Eint__add_2E2(s(tyop_2Einteger_2Eint,V1y_2E0),s(tyop_2Einteger_2Eint,c_2Einteger_2Eint__add_2E2(s(tyop_2Einteger_2Eint,V0z_2E0),s(tyop_2Einteger_2Eint,c_2Einteger_2Eint__add_2E2(s(tyop_2Einteger_2Eint,V3u_2E0),s(tyop_2Einteger_2Eint,V2x_2E0))))))) ).

fof(thm_2EHolSmt_2Er088,axiom,
    ! [V0x_2E0] : s(tyop_2Emin_2Ebool,c_2Einteger_2Eint__ge_2E2(s(tyop_2Einteger_2Eint,V0x_2E0),s(tyop_2Einteger_2Eint,V0x_2E0))) = s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0) ).

fof(thm_2EHolSmt_2Er089,axiom,
    ! [V0y_2E0,V1x_2E0] : s(tyop_2Emin_2Ebool,c_2Einteger_2Eint__ge_2E2(s(tyop_2Einteger_2Eint,V1x_2E0),s(tyop_2Einteger_2Eint,V0y_2E0))) = s(tyop_2Emin_2Ebool,c_2Einteger_2Eint__ge_2E2(s(tyop_2Einteger_2Eint,c_2Einteger_2Eint__add_2E2(s(tyop_2Einteger_2Eint,V1x_2E0),s(tyop_2Einteger_2Eint,c_2Einteger_2Eint__mul_2E2(s(tyop_2Einteger_2Eint,c_2Einteger_2Eint__neg_2E1(s(tyop_2Einteger_2Eint,c_2Einteger_2Eint__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_2Einteger_2Eint,V0y_2E0))))),s(tyop_2Einteger_2Eint,c_2Einteger_2Eint__of__num_2E1(s(tyop_2Enum_2Enum,c_2Enum_2E0_2E0))))) ).

fof(thm_2EHolSmt_2Er090,axiom,
    ! [V0y_2E0,V1x_2E0] : s(tyop_2Emin_2Ebool,c_2Einteger_2Eint__ge_2E2(s(tyop_2Einteger_2Eint,V1x_2E0),s(tyop_2Einteger_2Eint,V0y_2E0))) = s(tyop_2Emin_2Ebool,c_2Einteger_2Eint__le_2E2(s(tyop_2Einteger_2Eint,c_2Einteger_2Eint__add_2E2(s(tyop_2Einteger_2Eint,V0y_2E0),s(tyop_2Einteger_2Eint,c_2Einteger_2Eint__mul_2E2(s(tyop_2Einteger_2Eint,c_2Einteger_2Eint__neg_2E1(s(tyop_2Einteger_2Eint,c_2Einteger_2Eint__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_2Einteger_2Eint,V1x_2E0))))),s(tyop_2Einteger_2Eint,c_2Einteger_2Eint__of__num_2E1(s(tyop_2Enum_2Enum,c_2Enum_2E0_2E0))))) ).

fof(thm_2EHolSmt_2Er091,axiom,
    ! [V0z_2E0,V1y_2E0,V2x_2E0] : s(tyop_2Emin_2Ebool,c_2Einteger_2Eint__ge_2E2(s(tyop_2Einteger_2Eint,V2x_2E0),s(tyop_2Einteger_2Eint,c_2Einteger_2Eint__add_2E2(s(tyop_2Einteger_2Eint,V1y_2E0),s(tyop_2Einteger_2Eint,V0z_2E0))))) = s(tyop_2Emin_2Ebool,c_2Einteger_2Eint__le_2E2(s(tyop_2Einteger_2Eint,c_2Einteger_2Eint__add_2E2(s(tyop_2Einteger_2Eint,V1y_2E0),s(tyop_2Einteger_2Eint,c_2Einteger_2Eint__add_2E2(s(tyop_2Einteger_2Eint,V0z_2E0),s(tyop_2Einteger_2Eint,c_2Einteger_2Eint__mul_2E2(s(tyop_2Einteger_2Eint,c_2Einteger_2Eint__neg_2E1(s(tyop_2Einteger_2Eint,c_2Einteger_2Eint__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_2Einteger_2Eint,V2x_2E0))))))),s(tyop_2Einteger_2Eint,c_2Einteger_2Eint__of__num_2E1(s(tyop_2Enum_2Enum,c_2Enum_2E0_2E0))))) ).

fof(thm_2EHolSmt_2Er092,axiom,
    ! [V0x_2E0] : s(tyop_2Emin_2Ebool,c_2Einteger_2Eint__ge_2E2(s(tyop_2Einteger_2Eint,c_2Einteger_2Eint__mul_2E2(s(tyop_2Einteger_2Eint,c_2Einteger_2Eint__neg_2E1(s(tyop_2Einteger_2Eint,c_2Einteger_2Eint__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_2Einteger_2Eint,V0x_2E0))),s(tyop_2Einteger_2Eint,c_2Einteger_2Eint__of__num_2E1(s(tyop_2Enum_2Enum,c_2Enum_2E0_2E0))))) = s(tyop_2Emin_2Ebool,c_2Einteger_2Eint__le_2E2(s(tyop_2Einteger_2Eint,V0x_2E0),s(tyop_2Einteger_2Eint,c_2Einteger_2Eint__of__num_2E1(s(tyop_2Enum_2Enum,c_2Enum_2E0_2E0))))) ).

fof(thm_2EHolSmt_2Er093,axiom,
    ! [V0y_2E0,V1x_2E0] : s(tyop_2Emin_2Ebool,c_2Einteger_2Eint__ge_2E2(s(tyop_2Einteger_2Eint,c_2Einteger_2Eint__mul_2E2(s(tyop_2Einteger_2Eint,c_2Einteger_2Eint__neg_2E1(s(tyop_2Einteger_2Eint,c_2Einteger_2Eint__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_2Einteger_2Eint,V1x_2E0))),s(tyop_2Einteger_2Eint,c_2Einteger_2Eint__neg_2E1(s(tyop_2Einteger_2Eint,V0y_2E0))))) = s(tyop_2Emin_2Ebool,c_2Einteger_2Eint__le_2E2(s(tyop_2Einteger_2Eint,V1x_2E0),s(tyop_2Einteger_2Eint,V0y_2E0))) ).

fof(thm_2EHolSmt_2Er094,axiom,
    ! [V0y_2E0,V1x_2E0] : s(tyop_2Emin_2Ebool,c_2Einteger_2Eint__ge_2E2(s(tyop_2Einteger_2Eint,c_2Einteger_2Eint__add_2E2(s(tyop_2Einteger_2Eint,c_2Einteger_2Eint__mul_2E2(s(tyop_2Einteger_2Eint,c_2Einteger_2Eint__neg_2E1(s(tyop_2Einteger_2Eint,c_2Einteger_2Eint__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_2Einteger_2Eint,V1x_2E0))),s(tyop_2Einteger_2Eint,V0y_2E0))),s(tyop_2Einteger_2Eint,c_2Einteger_2Eint__of__num_2E1(s(tyop_2Enum_2Enum,c_2Enum_2E0_2E0))))) = s(tyop_2Emin_2Ebool,c_2Einteger_2Eint__le_2E2(s(tyop_2Einteger_2Eint,c_2Einteger_2Eint__add_2E2(s(tyop_2Einteger_2Eint,V1x_2E0),s(tyop_2Einteger_2Eint,c_2Einteger_2Eint__mul_2E2(s(tyop_2Einteger_2Eint,c_2Einteger_2Eint__neg_2E1(s(tyop_2Einteger_2Eint,c_2Einteger_2Eint__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_2Einteger_2Eint,V0y_2E0))))),s(tyop_2Einteger_2Eint,c_2Einteger_2Eint__of__num_2E1(s(tyop_2Enum_2Enum,c_2Enum_2E0_2E0))))) ).

fof(thm_2EHolSmt_2Er095,axiom,
    ! [V0y_2E0,V1x_2E0] : s(tyop_2Emin_2Ebool,c_2Einteger_2Eint__ge_2E2(s(tyop_2Einteger_2Eint,c_2Einteger_2Eint__add_2E2(s(tyop_2Einteger_2Eint,V1x_2E0),s(tyop_2Einteger_2Eint,c_2Einteger_2Eint__mul_2E2(s(tyop_2Einteger_2Eint,c_2Einteger_2Eint__neg_2E1(s(tyop_2Einteger_2Eint,c_2Einteger_2Eint__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_2Einteger_2Eint,V0y_2E0))))),s(tyop_2Einteger_2Eint,c_2Einteger_2Eint__of__num_2E1(s(tyop_2Enum_2Enum,c_2Enum_2E0_2E0))))) = s(tyop_2Emin_2Ebool,c_2Einteger_2Eint__le_2E2(s(tyop_2Einteger_2Eint,V0y_2E0),s(tyop_2Einteger_2Eint,V1x_2E0))) ).

fof(thm_2EHolSmt_2Er096,axiom,
    ! [V0y_2E0,V1x_2E0] :
      ( p(s(tyop_2Emin_2Ebool,c_2Einteger_2Eint__gt_2E2(s(tyop_2Einteger_2Eint,V1x_2E0),s(tyop_2Einteger_2Eint,V0y_2E0))))
    <=> ~ p(s(tyop_2Emin_2Ebool,c_2Einteger_2Eint__ge_2E2(s(tyop_2Einteger_2Eint,V0y_2E0),s(tyop_2Einteger_2Eint,V1x_2E0)))) ) ).

fof(thm_2EHolSmt_2Er097,axiom,
    ! [V0y_2E0,V1x_2E0] :
      ( p(s(tyop_2Emin_2Ebool,c_2Einteger_2Eint__gt_2E2(s(tyop_2Einteger_2Eint,V1x_2E0),s(tyop_2Einteger_2Eint,V0y_2E0))))
    <=> ~ p(s(tyop_2Emin_2Ebool,c_2Einteger_2Eint__le_2E2(s(tyop_2Einteger_2Eint,V1x_2E0),s(tyop_2Einteger_2Eint,V0y_2E0)))) ) ).

fof(thm_2EHolSmt_2Er098,axiom,
    ! [V0y_2E0,V1x_2E0] :
      ( p(s(tyop_2Emin_2Ebool,c_2Einteger_2Eint__gt_2E2(s(tyop_2Einteger_2Eint,V1x_2E0),s(tyop_2Einteger_2Eint,V0y_2E0))))
    <=> ~ p(s(tyop_2Emin_2Ebool,c_2Einteger_2Eint__le_2E2(s(tyop_2Einteger_2Eint,c_2Einteger_2Eint__add_2E2(s(tyop_2Einteger_2Eint,V1x_2E0),s(tyop_2Einteger_2Eint,c_2Einteger_2Eint__mul_2E2(s(tyop_2Einteger_2Eint,c_2Einteger_2Eint__neg_2E1(s(tyop_2Einteger_2Eint,c_2Einteger_2Eint__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_2Einteger_2Eint,V0y_2E0))))),s(tyop_2Einteger_2Eint,c_2Einteger_2Eint__of__num_2E1(s(tyop_2Enum_2Enum,c_2Enum_2E0_2E0)))))) ) ).

fof(thm_2EHolSmt_2Er099,axiom,
    ! [V0y_2E0,V1x_2E0] :
      ( p(s(tyop_2Emin_2Ebool,c_2Einteger_2Eint__gt_2E2(s(tyop_2Einteger_2Eint,V1x_2E0),s(tyop_2Einteger_2Eint,V0y_2E0))))
    <=> ~ p(s(tyop_2Emin_2Ebool,c_2Einteger_2Eint__ge_2E2(s(tyop_2Einteger_2Eint,c_2Einteger_2Eint__add_2E2(s(tyop_2Einteger_2Eint,V0y_2E0),s(tyop_2Einteger_2Eint,c_2Einteger_2Eint__mul_2E2(s(tyop_2Einteger_2Eint,c_2Einteger_2Eint__neg_2E1(s(tyop_2Einteger_2Eint,c_2Einteger_2Eint__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_2Einteger_2Eint,V1x_2E0))))),s(tyop_2Einteger_2Eint,c_2Einteger_2Eint__of__num_2E1(s(tyop_2Enum_2Enum,c_2Enum_2E0_2E0)))))) ) ).

fof(thm_2EHolSmt_2Er100,axiom,
    ! [V0z_2E0,V1y_2E0,V2x_2E0] :
      ( p(s(tyop_2Emin_2Ebool,c_2Einteger_2Eint__gt_2E2(s(tyop_2Einteger_2Eint,V2x_2E0),s(tyop_2Einteger_2Eint,c_2Einteger_2Eint__add_2E2(s(tyop_2Einteger_2Eint,V1y_2E0),s(tyop_2Einteger_2Eint,V0z_2E0))))))
    <=> ~ p(s(tyop_2Emin_2Ebool,c_2Einteger_2Eint__ge_2E2(s(tyop_2Einteger_2Eint,c_2Einteger_2Eint__add_2E2(s(tyop_2Einteger_2Eint,V0z_2E0),s(tyop_2Einteger_2Eint,c_2Einteger_2Eint__mul_2E2(s(tyop_2Einteger_2Eint,c_2Einteger_2Eint__neg_2E1(s(tyop_2Einteger_2Eint,c_2Einteger_2Eint__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_2Einteger_2Eint,V2x_2E0))))),s(tyop_2Einteger_2Eint,c_2Einteger_2Eint__neg_2E1(s(tyop_2Einteger_2Eint,V1y_2E0)))))) ) ).

fof(thm_2EHolSmt_2Er101,axiom,
    ! [V0x_2E0] : s(tyop_2Emin_2Ebool,c_2Einteger_2Eint__le_2E2(s(tyop_2Einteger_2Eint,V0x_2E0),s(tyop_2Einteger_2Eint,V0x_2E0))) = s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0) ).

fof(thm_2EHolSmt_2Er102,axiom,
    s(tyop_2Emin_2Ebool,c_2Einteger_2Eint__le_2E2(s(tyop_2Einteger_2Eint,c_2Einteger_2Eint__of__num_2E1(s(tyop_2Enum_2Enum,c_2Enum_2E0_2E0))),s(tyop_2Einteger_2Eint,c_2Einteger_2Eint__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_2Emin_2Ebool,c_2Ebool_2ET_2E0) ).

fof(thm_2EHolSmt_2Er103,axiom,
    ! [V0y_2E0,V1x_2E0] : s(tyop_2Emin_2Ebool,c_2Einteger_2Eint__le_2E2(s(tyop_2Einteger_2Eint,V1x_2E0),s(tyop_2Einteger_2Eint,V0y_2E0))) = s(tyop_2Emin_2Ebool,c_2Einteger_2Eint__ge_2E2(s(tyop_2Einteger_2Eint,V0y_2E0),s(tyop_2Einteger_2Eint,V1x_2E0))) ).

fof(thm_2EHolSmt_2Er104,axiom,
    ! [V0y_2E0,V1x_2E0] : s(tyop_2Emin_2Ebool,c_2Einteger_2Eint__le_2E2(s(tyop_2Einteger_2Eint,c_2Einteger_2Eint__of__num_2E1(s(tyop_2Enum_2Enum,c_2Enum_2E0_2E0))),s(tyop_2Einteger_2Eint,c_2Einteger_2Eint__add_2E2(s(tyop_2Einteger_2Eint,c_2Einteger_2Eint__neg_2E1(s(tyop_2Einteger_2Eint,V1x_2E0))),s(tyop_2Einteger_2Eint,V0y_2E0))))) = s(tyop_2Emin_2Ebool,c_2Einteger_2Eint__ge_2E2(s(tyop_2Einteger_2Eint,V0y_2E0),s(tyop_2Einteger_2Eint,V1x_2E0))) ).

fof(thm_2EHolSmt_2Er105,axiom,
    ! [V0x_2E0] : s(tyop_2Emin_2Ebool,c_2Einteger_2Eint__le_2E2(s(tyop_2Einteger_2Eint,c_2Einteger_2Eint__mul_2E2(s(tyop_2Einteger_2Eint,c_2Einteger_2Eint__neg_2E1(s(tyop_2Einteger_2Eint,c_2Einteger_2Eint__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_2Einteger_2Eint,V0x_2E0))),s(tyop_2Einteger_2Eint,c_2Einteger_2Eint__of__num_2E1(s(tyop_2Enum_2Enum,c_2Enum_2E0_2E0))))) = s(tyop_2Emin_2Ebool,c_2Einteger_2Eint__ge_2E2(s(tyop_2Einteger_2Eint,V0x_2E0),s(tyop_2Einteger_2Eint,c_2Einteger_2Eint__of__num_2E1(s(tyop_2Enum_2Enum,c_2Enum_2E0_2E0))))) ).

fof(thm_2EHolSmt_2Er106,axiom,
    ! [V0y_2E0,V1x_2E0] : s(tyop_2Emin_2Ebool,c_2Einteger_2Eint__le_2E2(s(tyop_2Einteger_2Eint,V1x_2E0),s(tyop_2Einteger_2Eint,V0y_2E0))) = s(tyop_2Emin_2Ebool,c_2Einteger_2Eint__le_2E2(s(tyop_2Einteger_2Eint,c_2Einteger_2Eint__add_2E2(s(tyop_2Einteger_2Eint,V1x_2E0),s(tyop_2Einteger_2Eint,c_2Einteger_2Eint__mul_2E2(s(tyop_2Einteger_2Eint,c_2Einteger_2Eint__neg_2E1(s(tyop_2Einteger_2Eint,c_2Einteger_2Eint__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_2Einteger_2Eint,V0y_2E0))))),s(tyop_2Einteger_2Eint,c_2Einteger_2Eint__of__num_2E1(s(tyop_2Enum_2Enum,c_2Enum_2E0_2E0))))) ).

fof(thm_2EHolSmt_2Er107,axiom,
    ! [V0y_2E0,V1x_2E0] : s(tyop_2Emin_2Ebool,c_2Einteger_2Eint__le_2E2(s(tyop_2Einteger_2Eint,V1x_2E0),s(tyop_2Einteger_2Eint,V0y_2E0))) = s(tyop_2Emin_2Ebool,c_2Einteger_2Eint__ge_2E2(s(tyop_2Einteger_2Eint,c_2Einteger_2Eint__add_2E2(s(tyop_2Einteger_2Eint,V0y_2E0),s(tyop_2Einteger_2Eint,c_2Einteger_2Eint__mul_2E2(s(tyop_2Einteger_2Eint,c_2Einteger_2Eint__neg_2E1(s(tyop_2Einteger_2Eint,c_2Einteger_2Eint__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_2Einteger_2Eint,V1x_2E0))))),s(tyop_2Einteger_2Eint,c_2Einteger_2Eint__of__num_2E1(s(tyop_2Enum_2Enum,c_2Enum_2E0_2E0))))) ).

fof(thm_2EHolSmt_2Er108,axiom,
    ! [V0y_2E0,V1x_2E0] : s(tyop_2Emin_2Ebool,c_2Einteger_2Eint__le_2E2(s(tyop_2Einteger_2Eint,c_2Einteger_2Eint__add_2E2(s(tyop_2Einteger_2Eint,c_2Einteger_2Eint__mul_2E2(s(tyop_2Einteger_2Eint,c_2Einteger_2Eint__neg_2E1(s(tyop_2Einteger_2Eint,c_2Einteger_2Eint__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_2Einteger_2Eint,V1x_2E0))),s(tyop_2Einteger_2Eint,V0y_2E0))),s(tyop_2Einteger_2Eint,c_2Einteger_2Eint__of__num_2E1(s(tyop_2Enum_2Enum,c_2Enum_2E0_2E0))))) = s(tyop_2Emin_2Ebool,c_2Einteger_2Eint__ge_2E2(s(tyop_2Einteger_2Eint,c_2Einteger_2Eint__add_2E2(s(tyop_2Einteger_2Eint,V1x_2E0),s(tyop_2Einteger_2Eint,c_2Einteger_2Eint__mul_2E2(s(tyop_2Einteger_2Eint,c_2Einteger_2Eint__neg_2E1(s(tyop_2Einteger_2Eint,c_2Einteger_2Eint__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_2Einteger_2Eint,V0y_2E0))))),s(tyop_2Einteger_2Eint,c_2Einteger_2Eint__of__num_2E1(s(tyop_2Enum_2Enum,c_2Enum_2E0_2E0))))) ).

fof(thm_2EHolSmt_2Er109,axiom,
    ! [V0z_2E0,V1y_2E0,V2x_2E0] : s(tyop_2Emin_2Ebool,c_2Einteger_2Eint__le_2E2(s(tyop_2Einteger_2Eint,c_2Einteger_2Eint__add_2E2(s(tyop_2Einteger_2Eint,c_2Einteger_2Eint__mul_2E2(s(tyop_2Einteger_2Eint,c_2Einteger_2Eint__neg_2E1(s(tyop_2Einteger_2Eint,c_2Einteger_2Eint__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_2Einteger_2Eint,V2x_2E0))),s(tyop_2Einteger_2Eint,V1y_2E0))),s(tyop_2Einteger_2Eint,c_2Einteger_2Eint__neg_2E1(s(tyop_2Einteger_2Eint,V0z_2E0))))) = s(tyop_2Emin_2Ebool,c_2Einteger_2Eint__ge_2E2(s(tyop_2Einteger_2Eint,c_2Einteger_2Eint__add_2E2(s(tyop_2Einteger_2Eint,V2x_2E0),s(tyop_2Einteger_2Eint,c_2Einteger_2Eint__mul_2E2(s(tyop_2Einteger_2Eint,c_2Einteger_2Eint__neg_2E1(s(tyop_2Einteger_2Eint,c_2Einteger_2Eint__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_2Einteger_2Eint,V1y_2E0))))),s(tyop_2Einteger_2Eint,V0z_2E0))) ).

fof(thm_2EHolSmt_2Er110,axiom,
    ! [V0z_2E0,V1y_2E0,V2x_2E0] : s(tyop_2Emin_2Ebool,c_2Einteger_2Eint__le_2E2(s(tyop_2Einteger_2Eint,c_2Einteger_2Eint__add_2E2(s(tyop_2Einteger_2Eint,c_2Einteger_2Eint__neg_2E1(s(tyop_2Einteger_2Eint,V2x_2E0))),s(tyop_2Einteger_2Eint,V1y_2E0))),s(tyop_2Einteger_2Eint,V0z_2E0))) = s(tyop_2Emin_2Ebool,c_2Einteger_2Eint__le_2E2(s(tyop_2Einteger_2Eint,c_2Einteger_2Eint__add_2E2(s(tyop_2Einteger_2Eint,V1y_2E0),s(tyop_2Einteger_2Eint,c_2Einteger_2Eint__mul_2E2(s(tyop_2Einteger_2Eint,c_2Einteger_2Eint__neg_2E1(s(tyop_2Einteger_2Eint,c_2Einteger_2Eint__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_2Einteger_2Eint,V0z_2E0))))),s(tyop_2Einteger_2Eint,V2x_2E0))) ).

fof(thm_2EHolSmt_2Er111,axiom,
    ! [V0z_2E0,V1y_2E0,V2x_2E0] : s(tyop_2Emin_2Ebool,c_2Einteger_2Eint__le_2E2(s(tyop_2Einteger_2Eint,c_2Einteger_2Eint__add_2E2(s(tyop_2Einteger_2Eint,V2x_2E0),s(tyop_2Einteger_2Eint,c_2Einteger_2Eint__mul_2E2(s(tyop_2Einteger_2Eint,c_2Einteger_2Eint__neg_2E1(s(tyop_2Einteger_2Eint,c_2Einteger_2Eint__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_2Einteger_2Eint,V1y_2E0))))),s(tyop_2Einteger_2Eint,V0z_2E0))) = s(tyop_2Emin_2Ebool,c_2Einteger_2Eint__le_2E2(s(tyop_2Einteger_2Eint,c_2Einteger_2Eint__add_2E2(s(tyop_2Einteger_2Eint,V2x_2E0),s(tyop_2Einteger_2Eint,c_2Einteger_2Eint__add_2E2(s(tyop_2Einteger_2Eint,c_2Einteger_2Eint__mul_2E2(s(tyop_2Einteger_2Eint,c_2Einteger_2Eint__neg_2E1(s(tyop_2Einteger_2Eint,c_2Einteger_2Eint__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_2Einteger_2Eint,V1y_2E0))),s(tyop_2Einteger_2Eint,c_2Einteger_2Eint__mul_2E2(s(tyop_2Einteger_2Eint,c_2Einteger_2Eint__neg_2E1(s(tyop_2Einteger_2Eint,c_2Einteger_2Eint__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_2Einteger_2Eint,V0z_2E0))))))),s(tyop_2Einteger_2Eint,c_2Einteger_2Eint__of__num_2E1(s(tyop_2Enum_2Enum,c_2Enum_2E0_2E0))))) ).

fof(thm_2EHolSmt_2Er112,axiom,
    ! [V0z_2E0,V1y_2E0,V2x_2E0] : s(tyop_2Emin_2Ebool,c_2Einteger_2Eint__le_2E2(s(tyop_2Einteger_2Eint,V2x_2E0),s(tyop_2Einteger_2Eint,c_2Einteger_2Eint__add_2E2(s(tyop_2Einteger_2Eint,V1y_2E0),s(tyop_2Einteger_2Eint,V0z_2E0))))) = s(tyop_2Emin_2Ebool,c_2Einteger_2Eint__le_2E2(s(tyop_2Einteger_2Eint,c_2Einteger_2Eint__add_2E2(s(tyop_2Einteger_2Eint,V2x_2E0),s(tyop_2Einteger_2Eint,c_2Einteger_2Eint__mul_2E2(s(tyop_2Einteger_2Eint,c_2Einteger_2Eint__neg_2E1(s(tyop_2Einteger_2Eint,c_2Einteger_2Eint__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_2Einteger_2Eint,V0z_2E0))))),s(tyop_2Einteger_2Eint,V1y_2E0))) ).

fof(thm_2EHolSmt_2Er113,axiom,
    ! [V0z_2E0,V1y_2E0,V2x_2E0] : s(tyop_2Emin_2Ebool,c_2Einteger_2Eint__le_2E2(s(tyop_2Einteger_2Eint,V2x_2E0),s(tyop_2Einteger_2Eint,c_2Einteger_2Eint__add_2E2(s(tyop_2Einteger_2Eint,V1y_2E0),s(tyop_2Einteger_2Eint,V0z_2E0))))) = s(tyop_2Emin_2Ebool,c_2Einteger_2Eint__ge_2E2(s(tyop_2Einteger_2Eint,c_2Einteger_2Eint__add_2E2(s(tyop_2Einteger_2Eint,V0z_2E0),s(tyop_2Einteger_2Eint,c_2Einteger_2Eint__mul_2E2(s(tyop_2Einteger_2Eint,c_2Einteger_2Eint__neg_2E1(s(tyop_2Einteger_2Eint,c_2Einteger_2Eint__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_2Einteger_2Eint,V2x_2E0))))),s(tyop_2Einteger_2Eint,c_2Einteger_2Eint__neg_2E1(s(tyop_2Einteger_2Eint,V1y_2E0))))) ).

fof(thm_2EHolSmt_2Er114,axiom,
    ! [V0z_2E0,V1y_2E0,V2x_2E0] : s(tyop_2Emin_2Ebool,c_2Einteger_2Eint__le_2E2(s(tyop_2Einteger_2Eint,V2x_2E0),s(tyop_2Einteger_2Eint,c_2Einteger_2Eint__add_2E2(s(tyop_2Einteger_2Eint,V1y_2E0),s(tyop_2Einteger_2Eint,V0z_2E0))))) = s(tyop_2Emin_2Ebool,c_2Einteger_2Eint__le_2E2(s(tyop_2Einteger_2Eint,c_2Einteger_2Eint__add_2E2(s(tyop_2Einteger_2Eint,V2x_2E0),s(tyop_2Einteger_2Eint,c_2Einteger_2Eint__add_2E2(s(tyop_2Einteger_2Eint,c_2Einteger_2Eint__mul_2E2(s(tyop_2Einteger_2Eint,c_2Einteger_2Eint__neg_2E1(s(tyop_2Einteger_2Eint,c_2Einteger_2Eint__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_2Einteger_2Eint,V1y_2E0))),s(tyop_2Einteger_2Eint,c_2Einteger_2Eint__mul_2E2(s(tyop_2Einteger_2Eint,c_2Einteger_2Eint__neg_2E1(s(tyop_2Einteger_2Eint,c_2Einteger_2Eint__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_2Einteger_2Eint,V0z_2E0))))))),s(tyop_2Einteger_2Eint,c_2Einteger_2Eint__of__num_2E1(s(tyop_2Enum_2Enum,c_2Enum_2E0_2E0))))) ).

fof(thm_2EHolSmt_2Er115,axiom,
    ! [V0y_2E0,V1x_2E0] :
      ( p(s(tyop_2Emin_2Ebool,c_2Einteger_2Eint__lt_2E2(s(tyop_2Einteger_2Eint,V1x_2E0),s(tyop_2Einteger_2Eint,V0y_2E0))))
    <=> ~ p(s(tyop_2Emin_2Ebool,c_2Einteger_2Eint__le_2E2(s(tyop_2Einteger_2Eint,V0y_2E0),s(tyop_2Einteger_2Eint,V1x_2E0)))) ) ).

fof(thm_2EHolSmt_2Er116,axiom,
    ! [V0y_2E0,V1x_2E0] :
      ( p(s(tyop_2Emin_2Ebool,c_2Einteger_2Eint__lt_2E2(s(tyop_2Einteger_2Eint,V1x_2E0),s(tyop_2Einteger_2Eint,V0y_2E0))))
    <=> ~ p(s(tyop_2Emin_2Ebool,c_2Einteger_2Eint__ge_2E2(s(tyop_2Einteger_2Eint,V1x_2E0),s(tyop_2Einteger_2Eint,V0y_2E0)))) ) ).

fof(thm_2EHolSmt_2Er117,axiom,
    ! [V0y_2E0,V1x_2E0] :
      ( p(s(tyop_2Emin_2Ebool,c_2Einteger_2Eint__lt_2E2(s(tyop_2Einteger_2Eint,V1x_2E0),s(tyop_2Einteger_2Eint,V0y_2E0))))
    <=> ~ p(s(tyop_2Emin_2Ebool,c_2Einteger_2Eint__le_2E2(s(tyop_2Einteger_2Eint,c_2Einteger_2Eint__add_2E2(s(tyop_2Einteger_2Eint,V0y_2E0),s(tyop_2Einteger_2Eint,c_2Einteger_2Eint__mul_2E2(s(tyop_2Einteger_2Eint,c_2Einteger_2Eint__neg_2E1(s(tyop_2Einteger_2Eint,c_2Einteger_2Eint__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_2Einteger_2Eint,V1x_2E0))))),s(tyop_2Einteger_2Eint,c_2Einteger_2Eint__of__num_2E1(s(tyop_2Enum_2Enum,c_2Enum_2E0_2E0)))))) ) ).

fof(thm_2EHolSmt_2Er118,axiom,
    ! [V0y_2E0,V1x_2E0] :
      ( p(s(tyop_2Emin_2Ebool,c_2Einteger_2Eint__lt_2E2(s(tyop_2Einteger_2Eint,V1x_2E0),s(tyop_2Einteger_2Eint,V0y_2E0))))
    <=> ~ p(s(tyop_2Emin_2Ebool,c_2Einteger_2Eint__ge_2E2(s(tyop_2Einteger_2Eint,c_2Einteger_2Eint__add_2E2(s(tyop_2Einteger_2Eint,V1x_2E0),s(tyop_2Einteger_2Eint,c_2Einteger_2Eint__mul_2E2(s(tyop_2Einteger_2Eint,c_2Einteger_2Eint__neg_2E1(s(tyop_2Einteger_2Eint,c_2Einteger_2Eint__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_2Einteger_2Eint,V0y_2E0))))),s(tyop_2Einteger_2Eint,c_2Einteger_2Eint__of__num_2E1(s(tyop_2Enum_2Enum,c_2Enum_2E0_2E0)))))) ) ).

fof(thm_2EHolSmt_2Er119,axiom,
    ! [V0z_2E0,V1y_2E0,V2x_2E0] :
      ( p(s(tyop_2Emin_2Ebool,c_2Einteger_2Eint__lt_2E2(s(tyop_2Einteger_2Eint,V2x_2E0),s(tyop_2Einteger_2Eint,c_2Einteger_2Eint__add_2E2(s(tyop_2Einteger_2Eint,V1y_2E0),s(tyop_2Einteger_2Eint,c_2Einteger_2Eint__mul_2E2(s(tyop_2Einteger_2Eint,c_2Einteger_2Eint__neg_2E1(s(tyop_2Einteger_2Eint,c_2Einteger_2Eint__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_2Einteger_2Eint,V0z_2E0))))))))
    <=> ~ p(s(tyop_2Emin_2Ebool,c_2Einteger_2Eint__ge_2E2(s(tyop_2Einteger_2Eint,c_2Einteger_2Eint__add_2E2(s(tyop_2Einteger_2Eint,c_2Einteger_2Eint__add_2E2(s(tyop_2Einteger_2Eint,V2x_2E0),s(tyop_2Einteger_2Eint,c_2Einteger_2Eint__mul_2E2(s(tyop_2Einteger_2Eint,c_2Einteger_2Eint__neg_2E1(s(tyop_2Einteger_2Eint,c_2Einteger_2Eint__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_2Einteger_2Eint,V1y_2E0))))),s(tyop_2Einteger_2Eint,V0z_2E0))),s(tyop_2Einteger_2Eint,c_2Einteger_2Eint__of__num_2E1(s(tyop_2Enum_2Enum,c_2Enum_2E0_2E0)))))) ) ).

fof(thm_2EHolSmt_2Er120,axiom,
    ! [V0z_2E0,V1y_2E0,V2x_2E0] :
      ( p(s(tyop_2Emin_2Ebool,c_2Einteger_2Eint__lt_2E2(s(tyop_2Einteger_2Eint,V2x_2E0),s(tyop_2Einteger_2Eint,c_2Einteger_2Eint__add_2E2(s(tyop_2Einteger_2Eint,V1y_2E0),s(tyop_2Einteger_2Eint,c_2Einteger_2Eint__mul_2E2(s(tyop_2Einteger_2Eint,c_2Einteger_2Eint__neg_2E1(s(tyop_2Einteger_2Eint,c_2Einteger_2Eint__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_2Einteger_2Eint,V0z_2E0))))))))
    <=> ~ p(s(tyop_2Emin_2Ebool,c_2Einteger_2Eint__ge_2E2(s(tyop_2Einteger_2Eint,c_2Einteger_2Eint__add_2E2(s(tyop_2Einteger_2Eint,V2x_2E0),s(tyop_2Einteger_2Eint,c_2Einteger_2Eint__add_2E2(s(tyop_2Einteger_2Eint,c_2Einteger_2Eint__mul_2E2(s(tyop_2Einteger_2Eint,c_2Einteger_2Eint__neg_2E1(s(tyop_2Einteger_2Eint,c_2Einteger_2Eint__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_2Einteger_2Eint,V1y_2E0))),s(tyop_2Einteger_2Eint,V0z_2E0))))),s(tyop_2Einteger_2Eint,c_2Einteger_2Eint__of__num_2E1(s(tyop_2Enum_2Enum,c_2Enum_2E0_2E0)))))) ) ).

fof(thm_2EHolSmt_2Er121,axiom,
    ! [V0z_2E0,V1y_2E0,V2x_2E0] :
      ( p(s(tyop_2Emin_2Ebool,c_2Einteger_2Eint__lt_2E2(s(tyop_2Einteger_2Eint,V2x_2E0),s(tyop_2Einteger_2Eint,c_2Einteger_2Eint__add_2E2(s(tyop_2Einteger_2Eint,c_2Einteger_2Eint__neg_2E1(s(tyop_2Einteger_2Eint,V1y_2E0))),s(tyop_2Einteger_2Eint,V0z_2E0))))))
    <=> ~ p(s(tyop_2Emin_2Ebool,c_2Einteger_2Eint__le_2E2(s(tyop_2Einteger_2Eint,c_2Einteger_2Eint__add_2E2(s(tyop_2Einteger_2Eint,V0z_2E0),s(tyop_2Einteger_2Eint,c_2Einteger_2Eint__mul_2E2(s(tyop_2Einteger_2Eint,c_2Einteger_2Eint__neg_2E1(s(tyop_2Einteger_2Eint,c_2Einteger_2Eint__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_2Einteger_2Eint,V2x_2E0))))),s(tyop_2Einteger_2Eint,V1y_2E0)))) ) ).

fof(thm_2EHolSmt_2Er122,axiom,
    ! [V0z_2E0,V1y_2E0,V2x_2E0,V3u_2E0] :
      ( p(s(tyop_2Emin_2Ebool,c_2Einteger_2Eint__lt_2E2(s(tyop_2Einteger_2Eint,V2x_2E0),s(tyop_2Einteger_2Eint,c_2Einteger_2Eint__add_2E2(s(tyop_2Einteger_2Eint,c_2Einteger_2Eint__neg_2E1(s(tyop_2Einteger_2Eint,V1y_2E0))),s(tyop_2Einteger_2Eint,c_2Einteger_2Eint__add_2E2(s(tyop_2Einteger_2Eint,V0z_2E0),s(tyop_2Einteger_2Eint,V3u_2E0))))))))
    <=> ~ p(s(tyop_2Emin_2Ebool,c_2Einteger_2Eint__le_2E2(s(tyop_2Einteger_2Eint,c_2Einteger_2Eint__add_2E2(s(tyop_2Einteger_2Eint,V0z_2E0),s(tyop_2Einteger_2Eint,c_2Einteger_2Eint__add_2E2(s(tyop_2Einteger_2Eint,V3u_2E0),s(tyop_2Einteger_2Eint,c_2Einteger_2Eint__mul_2E2(s(tyop_2Einteger_2Eint,c_2Einteger_2Eint__neg_2E1(s(tyop_2Einteger_2Eint,c_2Einteger_2Eint__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_2Einteger_2Eint,V2x_2E0))))))),s(tyop_2Einteger_2Eint,V1y_2E0)))) ) ).

fof(thm_2EHolSmt_2Er123,axiom,
    ! [V0z_2E0,V1y_2E0,V2x_2E0,V3v_2E0,V4u_2E0] :
      ( p(s(tyop_2Emin_2Ebool,c_2Einteger_2Eint__lt_2E2(s(tyop_2Einteger_2Eint,V2x_2E0),s(tyop_2Einteger_2Eint,c_2Einteger_2Eint__add_2E2(s(tyop_2Einteger_2Eint,c_2Einteger_2Eint__neg_2E1(s(tyop_2Einteger_2Eint,V1y_2E0))),s(tyop_2Einteger_2Eint,c_2Einteger_2Eint__add_2E2(s(tyop_2Einteger_2Eint,V0z_2E0),s(tyop_2Einteger_2Eint,c_2Einteger_2Eint__add_2E2(s(tyop_2Einteger_2Eint,V4u_2E0),s(tyop_2Einteger_2Eint,V3v_2E0))))))))))
    <=> ~ p(s(tyop_2Emin_2Ebool,c_2Einteger_2Eint__le_2E2(s(tyop_2Einteger_2Eint,c_2Einteger_2Eint__add_2E2(s(tyop_2Einteger_2Eint,V0z_2E0),s(tyop_2Einteger_2Eint,c_2Einteger_2Eint__add_2E2(s(tyop_2Einteger_2Eint,V4u_2E0),s(tyop_2Einteger_2Eint,c_2Einteger_2Eint__add_2E2(s(tyop_2Einteger_2Eint,V3v_2E0),s(tyop_2Einteger_2Eint,c_2Einteger_2Eint__mul_2E2(s(tyop_2Einteger_2Eint,c_2Einteger_2Eint__neg_2E1(s(tyop_2Einteger_2Eint,c_2Einteger_2Eint__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_2Einteger_2Eint,V2x_2E0))))))))),s(tyop_2Einteger_2Eint,V1y_2E0)))) ) ).

fof(thm_2EHolSmt_2Er124,axiom,
    ! [V0z_2E0,V1y_2E0,V2x_2E0] :
      ( p(s(tyop_2Emin_2Ebool,c_2Einteger_2Eint__lt_2E2(s(tyop_2Einteger_2Eint,c_2Einteger_2Eint__add_2E2(s(tyop_2Einteger_2Eint,c_2Einteger_2Eint__neg_2E1(s(tyop_2Einteger_2Eint,V2x_2E0))),s(tyop_2Einteger_2Eint,V1y_2E0))),s(tyop_2Einteger_2Eint,V0z_2E0))))
    <=> ~ p(s(tyop_2Emin_2Ebool,c_2Einteger_2Eint__ge_2E2(s(tyop_2Einteger_2Eint,c_2Einteger_2Eint__add_2E2(s(tyop_2Einteger_2Eint,V1y_2E0),s(tyop_2Einteger_2Eint,c_2Einteger_2Eint__mul_2E2(s(tyop_2Einteger_2Eint,c_2Einteger_2Eint__neg_2E1(s(tyop_2Einteger_2Eint,c_2Einteger_2Eint__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_2Einteger_2Eint,V0z_2E0))))),s(tyop_2Einteger_2Eint,V2x_2E0)))) ) ).

fof(thm_2EHolSmt_2Er125,axiom,
    ! [V0z_2E0,V1y_2E0,V2x_2E0] :
      ( p(s(tyop_2Emin_2Ebool,c_2Einteger_2Eint__lt_2E2(s(tyop_2Einteger_2Eint,c_2Einteger_2Eint__add_2E2(s(tyop_2Einteger_2Eint,V2x_2E0),s(tyop_2Einteger_2Eint,V1y_2E0))),s(tyop_2Einteger_2Eint,V0z_2E0))))
    <=> ~ p(s(tyop_2Emin_2Ebool,c_2Einteger_2Eint__le_2E2(s(tyop_2Einteger_2Eint,c_2Einteger_2Eint__add_2E2(s(tyop_2Einteger_2Eint,V0z_2E0),s(tyop_2Einteger_2Eint,c_2Einteger_2Eint__mul_2E2(s(tyop_2Einteger_2Eint,c_2Einteger_2Eint__neg_2E1(s(tyop_2Einteger_2Eint,c_2Einteger_2Eint__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_2Einteger_2Eint,V1y_2E0))))),s(tyop_2Einteger_2Eint,V2x_2E0)))) ) ).

fof(thm_2EHolSmt_2Er126,axiom,
    ! [V0y_2E0,V1x_2E0] :
      ( p(s(tyop_2Emin_2Ebool,c_2Einteger_2Eint__lt_2E2(s(tyop_2Einteger_2Eint,c_2Einteger_2Eint__of__num_2E1(s(tyop_2Enum_2Enum,c_2Enum_2E0_2E0))),s(tyop_2Einteger_2Eint,c_2Einteger_2Eint__add_2E2(s(tyop_2Einteger_2Eint,c_2Einteger_2Eint__neg_2E1(s(tyop_2Einteger_2Eint,V1x_2E0))),s(tyop_2Einteger_2Eint,V0y_2E0))))))
    <=> ~ p(s(tyop_2Emin_2Ebool,c_2Einteger_2Eint__le_2E2(s(tyop_2Einteger_2Eint,V0y_2E0),s(tyop_2Einteger_2Eint,V1x_2E0)))) ) ).

fof(thm_2EHolSmt_2Er127,axiom,
    ! [V0x_2E0] : s(tyop_2Einteger_2Eint,c_2Einteger_2Eint__sub_2E2(s(tyop_2Einteger_2Eint,V0x_2E0),s(tyop_2Einteger_2Eint,c_2Einteger_2Eint__of__num_2E1(s(tyop_2Enum_2Enum,c_2Enum_2E0_2E0))))) = s(tyop_2Einteger_2Eint,V0x_2E0) ).

fof(thm_2EHolSmt_2Er128,axiom,
    ! [V0x_2E0] : s(tyop_2Einteger_2Eint,c_2Einteger_2Eint__sub_2E2(s(tyop_2Einteger_2Eint,c_2Einteger_2Eint__of__num_2E1(s(tyop_2Enum_2Enum,c_2Enum_2E0_2E0))),s(tyop_2Einteger_2Eint,V0x_2E0))) = s(tyop_2Einteger_2Eint,c_2Einteger_2Eint__neg_2E1(s(tyop_2Einteger_2Eint,V0x_2E0))) ).

fof(thm_2EHolSmt_2Er129,axiom,
    ! [V0x_2E0] : s(tyop_2Einteger_2Eint,c_2Einteger_2Eint__sub_2E2(s(tyop_2Einteger_2Eint,c_2Einteger_2Eint__of__num_2E1(s(tyop_2Enum_2Enum,c_2Enum_2E0_2E0))),s(tyop_2Einteger_2Eint,V0x_2E0))) = s(tyop_2Einteger_2Eint,c_2Einteger_2Eint__mul_2E2(s(tyop_2Einteger_2Eint,c_2Einteger_2Eint__neg_2E1(s(tyop_2Einteger_2Eint,c_2Einteger_2Eint__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_2Einteger_2Eint,V0x_2E0))) ).

fof(thm_2EHolSmt_2Er130,axiom,
    ! [V0y_2E0,V1x_2E0] : s(tyop_2Einteger_2Eint,c_2Einteger_2Eint__sub_2E2(s(tyop_2Einteger_2Eint,V1x_2E0),s(tyop_2Einteger_2Eint,V0y_2E0))) = s(tyop_2Einteger_2Eint,c_2Einteger_2Eint__add_2E2(s(tyop_2Einteger_2Eint,c_2Einteger_2Eint__neg_2E1(s(tyop_2Einteger_2Eint,V0y_2E0))),s(tyop_2Einteger_2Eint,V1x_2E0))) ).

fof(thm_2EHolSmt_2Er131,axiom,
    ! [V0y_2E0,V1x_2E0] : s(tyop_2Einteger_2Eint,c_2Einteger_2Eint__sub_2E2(s(tyop_2Einteger_2Eint,V1x_2E0),s(tyop_2Einteger_2Eint,V0y_2E0))) = s(tyop_2Einteger_2Eint,c_2Einteger_2Eint__add_2E2(s(tyop_2Einteger_2Eint,V1x_2E0),s(tyop_2Einteger_2Eint,c_2Einteger_2Eint__mul_2E2(s(tyop_2Einteger_2Eint,c_2Einteger_2Eint__neg_2E1(s(tyop_2Einteger_2Eint,c_2Einteger_2Eint__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_2Einteger_2Eint,V0y_2E0))))) ).

fof(thm_2EHolSmt_2Er132,axiom,
    ! [V0y_2E0,V1x_2E0] : s(tyop_2Einteger_2Eint,c_2Einteger_2Eint__sub_2E2(s(tyop_2Einteger_2Eint,V1x_2E0),s(tyop_2Einteger_2Eint,V0y_2E0))) = s(tyop_2Einteger_2Eint,c_2Einteger_2Eint__add_2E2(s(tyop_2Einteger_2Eint,c_2Einteger_2Eint__mul_2E2(s(tyop_2Einteger_2Eint,c_2Einteger_2Eint__neg_2E1(s(tyop_2Einteger_2Eint,c_2Einteger_2Eint__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_2Einteger_2Eint,V0y_2E0))),s(tyop_2Einteger_2Eint,V1x_2E0))) ).

fof(thm_2EHolSmt_2Er133,axiom,
    ! [V0x_2E0] : s(tyop_2Einteger_2Eint,c_2Einteger_2Eint__sub_2E2(s(tyop_2Einteger_2Eint,V0x_2E0),s(tyop_2Einteger_2Eint,c_2Einteger_2Eint__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_2Einteger_2Eint,c_2Einteger_2Eint__add_2E2(s(tyop_2Einteger_2Eint,c_2Einteger_2Eint__neg_2E1(s(tyop_2Einteger_2Eint,c_2Einteger_2Eint__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_2Einteger_2Eint,V0x_2E0))) ).

fof(thm_2EHolSmt_2Er134,axiom,
    ! [V0z_2E0,V1y_2E0,V2x_2E0] : s(tyop_2Einteger_2Eint,c_2Einteger_2Eint__sub_2E2(s(tyop_2Einteger_2Eint,c_2Einteger_2Eint__add_2E2(s(tyop_2Einteger_2Eint,V2x_2E0),s(tyop_2Einteger_2Eint,V1y_2E0))),s(tyop_2Einteger_2Eint,V0z_2E0))) = s(tyop_2Einteger_2Eint,c_2Einteger_2Eint__add_2E2(s(tyop_2Einteger_2Eint,V2x_2E0),s(tyop_2Einteger_2Eint,c_2Einteger_2Eint__add_2E2(s(tyop_2Einteger_2Eint,V1y_2E0),s(tyop_2Einteger_2Eint,c_2Einteger_2Eint__mul_2E2(s(tyop_2Einteger_2Eint,c_2Einteger_2Eint__neg_2E1(s(tyop_2Einteger_2Eint,c_2Einteger_2Eint__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_2Einteger_2Eint,V0z_2E0))))))) ).

fof(thm_2EHolSmt_2Er135,axiom,
    ! [V0z_2E0,V1y_2E0,V2x_2E0] : s(tyop_2Einteger_2Eint,c_2Einteger_2Eint__sub_2E2(s(tyop_2Einteger_2Eint,c_2Einteger_2Eint__add_2E2(s(tyop_2Einteger_2Eint,V2x_2E0),s(tyop_2Einteger_2Eint,V1y_2E0))),s(tyop_2Einteger_2Eint,V0z_2E0))) = s(tyop_2Einteger_2Eint,c_2Einteger_2Eint__add_2E2(s(tyop_2Einteger_2Eint,V2x_2E0),s(tyop_2Einteger_2Eint,c_2Einteger_2Eint__add_2E2(s(tyop_2Einteger_2Eint,c_2Einteger_2Eint__mul_2E2(s(tyop_2Einteger_2Eint,c_2Einteger_2Eint__neg_2E1(s(tyop_2Einteger_2Eint,c_2Einteger_2Eint__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_2Einteger_2Eint,V0z_2E0))),s(tyop_2Einteger_2Eint,V1y_2E0))))) ).

fof(thm_2EHolSmt_2Er136,axiom,
    ! [V0x_2E0,V1u_2E0] :
      ( s(tyop_2Erealax_2Ereal,c_2Ereal_2Ereal__of__num_2E1(s(tyop_2Enum_2Enum,c_2Enum_2E0_2E0))) = s(tyop_2Erealax_2Ereal,c_2Erealax_2Ereal__mul_2E2(s(tyop_2Erealax_2Ereal,c_2Erealax_2Ereal__neg_2E1(s(tyop_2Erealax_2Ereal,V1u_2E0))),s(tyop_2Erealax_2Ereal,V0x_2E0)))
    <=> s(tyop_2Erealax_2Ereal,c_2Erealax_2Ereal__mul_2E2(s(tyop_2Erealax_2Ereal,V1u_2E0),s(tyop_2Erealax_2Ereal,V0x_2E0))) = s(tyop_2Erealax_2Ereal,c_2Ereal_2Ereal__of__num_2E1(s(tyop_2Enum_2Enum,c_2Enum_2E0_2E0))) ) ).

fof(thm_2EHolSmt_2Er137,axiom,
    ! [V0x_2E0,V1u_2E0,V2a_2E0] :
      ( s(tyop_2Erealax_2Ereal,V2a_2E0) = s(tyop_2Erealax_2Ereal,c_2Erealax_2Ereal__mul_2E2(s(tyop_2Erealax_2Ereal,c_2Erealax_2Ereal__neg_2E1(s(tyop_2Erealax_2Ereal,V1u_2E0))),s(tyop_2Erealax_2Ereal,V0x_2E0)))
    <=> s(tyop_2Erealax_2Ereal,c_2Erealax_2Ereal__mul_2E2(s(tyop_2Erealax_2Ereal,V1u_2E0),s(tyop_2Erealax_2Ereal,V0x_2E0))) = s(tyop_2Erealax_2Ereal,c_2Erealax_2Ereal__neg_2E1(s(tyop_2Erealax_2Ereal,V2a_2E0))) ) ).

fof(thm_2EHolSmt_2Er138,axiom,
    ! [V0z_2E0,V1y_2E0,V2x_2E0,V3a_2E0] :
      ( s(tyop_2Erealax_2Ereal,V3a_2E0) = s(tyop_2Erealax_2Ereal,c_2Erealax_2Ereal__add_2E2(s(tyop_2Erealax_2Ereal,V2x_2E0),s(tyop_2Erealax_2Ereal,c_2Erealax_2Ereal__add_2E2(s(tyop_2Erealax_2Ereal,V1y_2E0),s(tyop_2Erealax_2Ereal,V0z_2E0)))))
    <=> s(tyop_2Erealax_2Ereal,c_2Erealax_2Ereal__add_2E2(s(tyop_2Erealax_2Ereal,V2x_2E0),s(tyop_2Erealax_2Ereal,c_2Erealax_2Ereal__add_2E2(s(tyop_2Erealax_2Ereal,V1y_2E0),s(tyop_2Erealax_2Ereal,c_2Erealax_2Ereal__add_2E2(s(tyop_2Erealax_2Ereal,c_2Erealax_2Ereal__mul_2E2(s(tyop_2Erealax_2Ereal,c_2Erealax_2Ereal__neg_2E1(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,V3a_2E0))),s(tyop_2Erealax_2Ereal,V0z_2E0))))))) = s(tyop_2Erealax_2Ereal,c_2Ereal_2Ereal__of__num_2E1(s(tyop_2Enum_2Enum,c_2Enum_2E0_2E0))) ) ).

fof(thm_2EHolSmt_2Er139,axiom,
    ! [V0z_2E0,V1y_2E0,V2x_2E0,V3a_2E0] :
      ( s(tyop_2Erealax_2Ereal,V3a_2E0) = s(tyop_2Erealax_2Ereal,c_2Erealax_2Ereal__add_2E2(s(tyop_2Erealax_2Ereal,V2x_2E0),s(tyop_2Erealax_2Ereal,c_2Erealax_2Ereal__add_2E2(s(tyop_2Erealax_2Ereal,V1y_2E0),s(tyop_2Erealax_2Ereal,V0z_2E0)))))
    <=> s(tyop_2Erealax_2Ereal,c_2Erealax_2Ereal__add_2E2(s(tyop_2Erealax_2Ereal,V2x_2E0),s(tyop_2Erealax_2Ereal,c_2Erealax_2Ereal__add_2E2(s(tyop_2Erealax_2Ereal,V1y_2E0),s(tyop_2Erealax_2Ereal,c_2Erealax_2Ereal__add_2E2(s(tyop_2Erealax_2Ereal,V0z_2E0),s(tyop_2Erealax_2Ereal,c_2Erealax_2Ereal__mul_2E2(s(tyop_2Erealax_2Ereal,c_2Erealax_2Ereal__neg_2E1(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,V3a_2E0))))))))) = s(tyop_2Erealax_2Ereal,c_2Ereal_2Ereal__of__num_2E1(s(tyop_2Enum_2Enum,c_2Enum_2E0_2E0))) ) ).

fof(thm_2EHolSmt_2Er140,axiom,
    ! [V0z_2E0,V1y_2E0,V2v_2E0,V3u_2E0,V4a_2E0] :
      ( s(tyop_2Erealax_2Ereal,V4a_2E0) = s(tyop_2Erealax_2Ereal,c_2Erealax_2Ereal__add_2E2(s(tyop_2Erealax_2Ereal,c_2Erealax_2Ereal__mul_2E2(s(tyop_2Erealax_2Ereal,c_2Erealax_2Ereal__neg_2E1(s(tyop_2Erealax_2Ereal,V3u_2E0))),s(tyop_2Erealax_2Ereal,V1y_2E0))),s(tyop_2Erealax_2Ereal,c_2Erealax_2Ereal__mul_2E2(s(tyop_2Erealax_2Ereal,V2v_2E0),s(tyop_2Erealax_2Ereal,V0z_2E0)))))
    <=> s(tyop_2Erealax_2Ereal,c_2Erealax_2Ereal__add_2E2(s(tyop_2Erealax_2Ereal,c_2Erealax_2Ereal__mul_2E2(s(tyop_2Erealax_2Ereal,V3u_2E0),s(tyop_2Erealax_2Ereal,V1y_2E0))),s(tyop_2Erealax_2Ereal,c_2Erealax_2Ereal__add_2E2(s(tyop_2Erealax_2Ereal,c_2Erealax_2Ereal__mul_2E2(s(tyop_2Erealax_2Ereal,c_2Erealax_2Ereal__neg_2E1(s(tyop_2Erealax_2Ereal,V2v_2E0))),s(tyop_2Erealax_2Ereal,V0z_2E0))),s(tyop_2Erealax_2Ereal,V4a_2E0))))) = s(tyop_2Erealax_2Ereal,c_2Ereal_2Ereal__of__num_2E1(s(tyop_2Enum_2Enum,c_2Enum_2E0_2E0))) ) ).

fof(thm_2EHolSmt_2Er141,axiom,
    ! [V0z_2E0,V1y_2E0,V2v_2E0,V3u_2E0,V4a_2E0] :
      ( s(tyop_2Erealax_2Ereal,V4a_2E0) = s(tyop_2Erealax_2Ereal,c_2Erealax_2Ereal__add_2E2(s(tyop_2Erealax_2Ereal,c_2Erealax_2Ereal__mul_2E2(s(tyop_2Erealax_2Ereal,c_2Erealax_2Ereal__neg_2E1(s(tyop_2Erealax_2Ereal,V3u_2E0))),s(tyop_2Erealax_2Ereal,V1y_2E0))),s(tyop_2Erealax_2Ereal,c_2Erealax_2Ereal__mul_2E2(s(tyop_2Erealax_2Ereal,c_2Erealax_2Ereal__neg_2E1(s(tyop_2Erealax_2Ereal,V2v_2E0))),s(tyop_2Erealax_2Ereal,V0z_2E0)))))
    <=> s(tyop_2Erealax_2Ereal,c_2Erealax_2Ereal__add_2E2(s(tyop_2Erealax_2Ereal,c_2Erealax_2Ereal__mul_2E2(s(tyop_2Erealax_2Ereal,V3u_2E0),s(tyop_2Erealax_2Ereal,V1y_2E0))),s(tyop_2Erealax_2Ereal,c_2Erealax_2Ereal__add_2E2(s(tyop_2Erealax_2Ereal,V4a_2E0),s(tyop_2Erealax_2Ereal,c_2Erealax_2Ereal__mul_2E2(s(tyop_2Erealax_2Ereal,V2v_2E0),s(tyop_2Erealax_2Ereal,V0z_2E0))))))) = s(tyop_2Erealax_2Ereal,c_2Ereal_2Ereal__of__num_2E1(s(tyop_2Enum_2Enum,c_2Enum_2E0_2E0))) ) ).

fof(thm_2EHolSmt_2Er142,axiom,
    ! [V0y_2E0,V1x_2E0,V2v_2E0,V3u_2E0,V4a_2E0] :
      ( s(tyop_2Erealax_2Ereal,c_2Erealax_2Ereal__neg_2E1(s(tyop_2Erealax_2Ereal,V4a_2E0))) = s(tyop_2Erealax_2Ereal,c_2Erealax_2Ereal__add_2E2(s(tyop_2Erealax_2Ereal,c_2Erealax_2Ereal__mul_2E2(s(tyop_2Erealax_2Ereal,c_2Erealax_2Ereal__neg_2E1(s(tyop_2Erealax_2Ereal,V3u_2E0))),s(tyop_2Erealax_2Ereal,V1x_2E0))),s(tyop_2Erealax_2Ereal,c_2Erealax_2Ereal__mul_2E2(s(tyop_2Erealax_2Ereal,V2v_2E0),s(tyop_2Erealax_2Ereal,V0y_2E0)))))
    <=> s(tyop_2Erealax_2Ereal,c_2Erealax_2Ereal__add_2E2(s(tyop_2Erealax_2Ereal,c_2Erealax_2Ereal__mul_2E2(s(tyop_2Erealax_2Ereal,V3u_2E0),s(tyop_2Erealax_2Ereal,V1x_2E0))),s(tyop_2Erealax_2Ereal,c_2Erealax_2Ereal__mul_2E2(s(tyop_2Erealax_2Ereal,c_2Erealax_2Ereal__neg_2E1(s(tyop_2Erealax_2Ereal,V2v_2E0))),s(tyop_2Erealax_2Ereal,V0y_2E0))))) = s(tyop_2Erealax_2Ereal,V4a_2E0) ) ).

fof(thm_2EHolSmt_2Er143,axiom,
    ! [V0z_2E0,V1y_2E0,V2x_2E0,V3w_2E0,V4v_2E0,V5u_2E0,V6a_2E0] :
      ( s(tyop_2Erealax_2Ereal,V6a_2E0) = s(tyop_2Erealax_2Ereal,c_2Erealax_2Ereal__add_2E2(s(tyop_2Erealax_2Ereal,c_2Erealax_2Ereal__mul_2E2(s(tyop_2Erealax_2Ereal,c_2Erealax_2Ereal__neg_2E1(s(tyop_2Erealax_2Ereal,V5u_2E0))),s(tyop_2Erealax_2Ereal,V2x_2E0))),s(tyop_2Erealax_2Ereal,c_2Erealax_2Ereal__add_2E2(s(tyop_2Erealax_2Ereal,c_2Erealax_2Ereal__mul_2E2(s(tyop_2Erealax_2Ereal,c_2Erealax_2Ereal__neg_2E1(s(tyop_2Erealax_2Ereal,V4v_2E0))),s(tyop_2Erealax_2Ereal,V1y_2E0))),s(tyop_2Erealax_2Ereal,c_2Erealax_2Ereal__mul_2E2(s(tyop_2Erealax_2Ereal,V3w_2E0),s(tyop_2Erealax_2Ereal,V0z_2E0)))))))
    <=> s(tyop_2Erealax_2Ereal,c_2Erealax_2Ereal__add_2E2(s(tyop_2Erealax_2Ereal,c_2Erealax_2Ereal__mul_2E2(s(tyop_2Erealax_2Ereal,V5u_2E0),s(tyop_2Erealax_2Ereal,V2x_2E0))),s(tyop_2Erealax_2Ereal,c_2Erealax_2Ereal__add_2E2(s(tyop_2Erealax_2Ereal,c_2Erealax_2Ereal__mul_2E2(s(tyop_2Erealax_2Ereal,V4v_2E0),s(tyop_2Erealax_2Ereal,V1y_2E0))),s(tyop_2Erealax_2Ereal,c_2Erealax_2Ereal__add_2E2(s(tyop_2Erealax_2Ereal,c_2Erealax_2Ereal__mul_2E2(s(tyop_2Erealax_2Ereal,c_2Erealax_2Ereal__neg_2E1(s(tyop_2Erealax_2Ereal,V3w_2E0))),s(tyop_2Erealax_2Ereal,V0z_2E0))),s(tyop_2Erealax_2Ereal,V6a_2E0))))))) = s(tyop_2Erealax_2Ereal,c_2Ereal_2Ereal__of__num_2E1(s(tyop_2Enum_2Enum,c_2Enum_2E0_2E0))) ) ).

fof(thm_2EHolSmt_2Er144,axiom,
    ! [V0z_2E0,V1y_2E0,V2x_2E0,V3w_2E0,V4v_2E0,V5u_2E0,V6a_2E0] :
      ( s(tyop_2Erealax_2Ereal,V6a_2E0) = s(tyop_2Erealax_2Ereal,c_2Erealax_2Ereal__add_2E2(s(tyop_2Erealax_2Ereal,c_2Erealax_2Ereal__mul_2E2(s(tyop_2Erealax_2Ereal,c_2Erealax_2Ereal__neg_2E1(s(tyop_2Erealax_2Ereal,V5u_2E0))),s(tyop_2Erealax_2Ereal,V2x_2E0))),s(tyop_2Erealax_2Ereal,c_2Erealax_2Ereal__add_2E2(s(tyop_2Erealax_2Ereal,c_2Erealax_2Ereal__mul_2E2(s(tyop_2Erealax_2Ereal,V4v_2E0),s(tyop_2Erealax_2Ereal,V1y_2E0))),s(tyop_2Erealax_2Ereal,c_2Erealax_2Ereal__mul_2E2(s(tyop_2Erealax_2Ereal,V3w_2E0),s(tyop_2Erealax_2Ereal,V0z_2E0)))))))
    <=> s(tyop_2Erealax_2Ereal,c_2Erealax_2Ereal__add_2E2(s(tyop_2Erealax_2Ereal,c_2Erealax_2Ereal__mul_2E2(s(tyop_2Erealax_2Ereal,V5u_2E0),s(tyop_2Erealax_2Ereal,V2x_2E0))),s(tyop_2Erealax_2Ereal,c_2Erealax_2Ereal__add_2E2(s(tyop_2Erealax_2Ereal,c_2Erealax_2Ereal__mul_2E2(s(tyop_2Erealax_2Ereal,c_2Erealax_2Ereal__neg_2E1(s(tyop_2Erealax_2Ereal,V4v_2E0))),s(tyop_2Erealax_2Ereal,V1y_2E0))),s(tyop_2Erealax_2Ereal,c_2Erealax_2Ereal__mul_2E2(s(tyop_2Erealax_2Ereal,c_2Erealax_2Ereal__neg_2E1(s(tyop_2Erealax_2Ereal,V3w_2E0))),s(tyop_2Erealax_2Ereal,V0z_2E0))))))) = s(tyop_2Erealax_2Ereal,c_2Erealax_2Ereal__neg_2E1(s(tyop_2Erealax_2Ereal,V6a_2E0))) ) ).

fof(thm_2EHolSmt_2Er145,axiom,
    ! [V0z_2E0,V1y_2E0,V2x_2E0,V3w_2E0,V4v_2E0,V5u_2E0,V6a_2E0] :
      ( s(tyop_2Erealax_2Ereal,V6a_2E0) = s(tyop_2Erealax_2Ereal,c_2Erealax_2Ereal__add_2E2(s(tyop_2Erealax_2Ereal,c_2Erealax_2Ereal__mul_2E2(s(tyop_2Erealax_2Ereal,c_2Erealax_2Ereal__neg_2E1(s(tyop_2Erealax_2Ereal,V5u_2E0))),s(tyop_2Erealax_2Ereal,V2x_2E0))),s(tyop_2Erealax_2Ereal,c_2Erealax_2Ereal__add_2E2(s(tyop_2Erealax_2Ereal,c_2Erealax_2Ereal__mul_2E2(s(tyop_2Erealax_2Ereal,V4v_2E0),s(tyop_2Erealax_2Ereal,V1y_2E0))),s(tyop_2Erealax_2Ereal,c_2Erealax_2Ereal__mul_2E2(s(tyop_2Erealax_2Ereal,c_2Erealax_2Ereal__neg_2E1(s(tyop_2Erealax_2Ereal,V3w_2E0))),s(tyop_2Erealax_2Ereal,V0z_2E0)))))))
    <=> s(tyop_2Erealax_2Ereal,c_2Erealax_2Ereal__add_2E2(s(tyop_2Erealax_2Ereal,c_2Erealax_2Ereal__mul_2E2(s(tyop_2Erealax_2Ereal,V5u_2E0),s(tyop_2Erealax_2Ereal,V2x_2E0))),s(tyop_2Erealax_2Ereal,c_2Erealax_2Ereal__add_2E2(s(tyop_2Erealax_2Ereal,c_2Erealax_2Ereal__mul_2E2(s(tyop_2Erealax_2Ereal,c_2Erealax_2Ereal__neg_2E1(s(tyop_2Erealax_2Ereal,V4v_2E0))),s(tyop_2Erealax_2Ereal,V1y_2E0))),s(tyop_2Erealax_2Ereal,c_2Erealax_2Ereal__mul_2E2(s(tyop_2Erealax_2Ereal,V3w_2E0),s(tyop_2Erealax_2Ereal,V0z_2E0))))))) = s(tyop_2Erealax_2Ereal,c_2Erealax_2Ereal__neg_2E1(s(tyop_2Erealax_2Ereal,V6a_2E0))) ) ).

fof(thm_2EHolSmt_2Er146,axiom,
    ! [V0z_2E0,V1y_2E0,V2x_2E0,V3w_2E0,V4v_2E0,V5u_2E0,V6a_2E0] :
      ( s(tyop_2Erealax_2Ereal,V6a_2E0) = s(tyop_2Erealax_2Ereal,c_2Erealax_2Ereal__add_2E2(s(tyop_2Erealax_2Ereal,c_2Erealax_2Ereal__mul_2E2(s(tyop_2Erealax_2Ereal,c_2Erealax_2Ereal__neg_2E1(s(tyop_2Erealax_2Ereal,V5u_2E0))),s(tyop_2Erealax_2Ereal,V2x_2E0))),s(tyop_2Erealax_2Ereal,c_2Erealax_2Ereal__add_2E2(s(tyop_2Erealax_2Ereal,c_2Erealax_2Ereal__mul_2E2(s(tyop_2Erealax_2Ereal,c_2Erealax_2Ereal__neg_2E1(s(tyop_2Erealax_2Ereal,V4v_2E0))),s(tyop_2Erealax_2Ereal,V1y_2E0))),s(tyop_2Erealax_2Ereal,c_2Erealax_2Ereal__mul_2E2(s(tyop_2Erealax_2Ereal,V3w_2E0),s(tyop_2Erealax_2Ereal,V0z_2E0)))))))
    <=> s(tyop_2Erealax_2Ereal,c_2Erealax_2Ereal__add_2E2(s(tyop_2Erealax_2Ereal,c_2Erealax_2Ereal__mul_2E2(s(tyop_2Erealax_2Ereal,V5u_2E0),s(tyop_2Erealax_2Ereal,V2x_2E0))),s(tyop_2Erealax_2Ereal,c_2Erealax_2Ereal__add_2E2(s(tyop_2Erealax_2Ereal,c_2Erealax_2Ereal__mul_2E2(s(tyop_2Erealax_2Ereal,V4v_2E0),s(tyop_2Erealax_2Ereal,V1y_2E0))),s(tyop_2Erealax_2Ereal,c_2Erealax_2Ereal__mul_2E2(s(tyop_2Erealax_2Ereal,c_2Erealax_2Ereal__neg_2E1(s(tyop_2Erealax_2Ereal,V3w_2E0))),s(tyop_2Erealax_2Ereal,V0z_2E0))))))) = s(tyop_2Erealax_2Ereal,c_2Erealax_2Ereal__neg_2E1(s(tyop_2Erealax_2Ereal,V6a_2E0))) ) ).

fof(thm_2EHolSmt_2Er147,axiom,
    ! [V0z_2E0,V1y_2E0,V2x_2E0,V3w_2E0,V4v_2E0,V5u_2E0,V6a_2E0] :
      ( s(tyop_2Erealax_2Ereal,V6a_2E0) = s(tyop_2Erealax_2Ereal,c_2Erealax_2Ereal__add_2E2(s(tyop_2Erealax_2Ereal,c_2Erealax_2Ereal__mul_2E2(s(tyop_2Erealax_2Ereal,c_2Erealax_2Ereal__neg_2E1(s(tyop_2Erealax_2Ereal,V5u_2E0))),s(tyop_2Erealax_2Ereal,V2x_2E0))),s(tyop_2Erealax_2Ereal,c_2Erealax_2Ereal__add_2E2(s(tyop_2Erealax_2Ereal,c_2Erealax_2Ereal__mul_2E2(s(tyop_2Erealax_2Ereal,c_2Erealax_2Ereal__neg_2E1(s(tyop_2Erealax_2Ereal,V4v_2E0))),s(tyop_2Erealax_2Ereal,V1y_2E0))),s(tyop_2Erealax_2Ereal,c_2Erealax_2Ereal__mul_2E2(s(tyop_2Erealax_2Ereal,c_2Erealax_2Ereal__neg_2E1(s(tyop_2Erealax_2Ereal,V3w_2E0))),s(tyop_2Erealax_2Ereal,V0z_2E0)))))))
    <=> s(tyop_2Erealax_2Ereal,c_2Erealax_2Ereal__add_2E2(s(tyop_2Erealax_2Ereal,c_2Erealax_2Ereal__mul_2E2(s(tyop_2Erealax_2Ereal,V5u_2E0),s(tyop_2Erealax_2Ereal,V2x_2E0))),s(tyop_2Erealax_2Ereal,c_2Erealax_2Ereal__add_2E2(s(tyop_2Erealax_2Ereal,c_2Erealax_2Ereal__mul_2E2(s(tyop_2Erealax_2Ereal,V4v_2E0),s(tyop_2Erealax_2Ereal,V1y_2E0))),s(tyop_2Erealax_2Ereal,c_2Erealax_2Ereal__mul_2E2(s(tyop_2Erealax_2Ereal,V3w_2E0),s(tyop_2Erealax_2Ereal,V0z_2E0))))))) = s(tyop_2Erealax_2Ereal,c_2Erealax_2Ereal__neg_2E1(s(tyop_2Erealax_2Ereal,V6a_2E0))) ) ).

fof(thm_2EHolSmt_2Er148,axiom,
    ! [V0z_2E0,V1y_2E0,V2x_2E0,V3w_2E0,V4v_2E0,V5u_2E0,V6a_2E0] :
      ( s(tyop_2Erealax_2Ereal,c_2Erealax_2Ereal__neg_2E1(s(tyop_2Erealax_2Ereal,V6a_2E0))) = s(tyop_2Erealax_2Ereal,c_2Erealax_2Ereal__add_2E2(s(tyop_2Erealax_2Ereal,c_2Erealax_2Ereal__mul_2E2(s(tyop_2Erealax_2Ereal,c_2Erealax_2Ereal__neg_2E1(s(tyop_2Erealax_2Ereal,V5u_2E0))),s(tyop_2Erealax_2Ereal,V2x_2E0))),s(tyop_2Erealax_2Ereal,c_2Erealax_2Ereal__add_2E2(s(tyop_2Erealax_2Ereal,c_2Erealax_2Ereal__mul_2E2(s(tyop_2Erealax_2Ereal,V4v_2E0),s(tyop_2Erealax_2Ereal,V1y_2E0))),s(tyop_2Erealax_2Ereal,c_2Erealax_2Ereal__mul_2E2(s(tyop_2Erealax_2Ereal,V3w_2E0),s(tyop_2Erealax_2Ereal,V0z_2E0)))))))
    <=> s(tyop_2Erealax_2Ereal,c_2Erealax_2Ereal__add_2E2(s(tyop_2Erealax_2Ereal,c_2Erealax_2Ereal__mul_2E2(s(tyop_2Erealax_2Ereal,V5u_2E0),s(tyop_2Erealax_2Ereal,V2x_2E0))),s(tyop_2Erealax_2Ereal,c_2Erealax_2Ereal__add_2E2(s(tyop_2Erealax_2Ereal,c_2Erealax_2Ereal__mul_2E2(s(tyop_2Erealax_2Ereal,c_2Erealax_2Ereal__neg_2E1(s(tyop_2Erealax_2Ereal,V4v_2E0))),s(tyop_2Erealax_2Ereal,V1y_2E0))),s(tyop_2Erealax_2Ereal,c_2Erealax_2Ereal__mul_2E2(s(tyop_2Erealax_2Ereal,c_2Erealax_2Ereal__neg_2E1(s(tyop_2Erealax_2Ereal,V3w_2E0))),s(tyop_2Erealax_2Ereal,V0z_2E0))))))) = s(tyop_2Erealax_2Ereal,V6a_2E0) ) ).

fof(thm_2EHolSmt_2Er149,axiom,
    ! [V0z_2E0,V1y_2E0,V2x_2E0,V3w_2E0,V4v_2E0,V5u_2E0,V6a_2E0] :
      ( s(tyop_2Erealax_2Ereal,c_2Erealax_2Ereal__neg_2E1(s(tyop_2Erealax_2Ereal,V6a_2E0))) = s(tyop_2Erealax_2Ereal,c_2Erealax_2Ereal__add_2E2(s(tyop_2Erealax_2Ereal,c_2Erealax_2Ereal__mul_2E2(s(tyop_2Erealax_2Ereal,c_2Erealax_2Ereal__neg_2E1(s(tyop_2Erealax_2Ereal,V5u_2E0))),s(tyop_2Erealax_2Ereal,V2x_2E0))),s(tyop_2Erealax_2Ereal,c_2Erealax_2Ereal__add_2E2(s(tyop_2Erealax_2Ereal,c_2Erealax_2Ereal__mul_2E2(s(tyop_2Erealax_2Ereal,V4v_2E0),s(tyop_2Erealax_2Ereal,V1y_2E0))),s(tyop_2Erealax_2Ereal,c_2Erealax_2Ereal__mul_2E2(s(tyop_2Erealax_2Ereal,c_2Erealax_2Ereal__neg_2E1(s(tyop_2Erealax_2Ereal,V3w_2E0))),s(tyop_2Erealax_2Ereal,V0z_2E0)))))))
    <=> s(tyop_2Erealax_2Ereal,c_2Erealax_2Ereal__add_2E2(s(tyop_2Erealax_2Ereal,c_2Erealax_2Ereal__mul_2E2(s(tyop_2Erealax_2Ereal,V5u_2E0),s(tyop_2Erealax_2Ereal,V2x_2E0))),s(tyop_2Erealax_2Ereal,c_2Erealax_2Ereal__add_2E2(s(tyop_2Erealax_2Ereal,c_2Erealax_2Ereal__mul_2E2(s(tyop_2Erealax_2Ereal,c_2Erealax_2Ereal__neg_2E1(s(tyop_2Erealax_2Ereal,V4v_2E0))),s(tyop_2Erealax_2Ereal,V1y_2E0))),s(tyop_2Erealax_2Ereal,c_2Erealax_2Ereal__mul_2E2(s(tyop_2Erealax_2Ereal,V3w_2E0),s(tyop_2Erealax_2Ereal,V0z_2E0))))))) = s(tyop_2Erealax_2Ereal,V6a_2E0) ) ).

fof(thm_2EHolSmt_2Er150,axiom,
    ! [V0z_2E0,V1y_2E0,V2x_2E0,V3w_2E0,V4v_2E0,V5u_2E0,V6a_2E0] :
      ( s(tyop_2Erealax_2Ereal,c_2Erealax_2Ereal__neg_2E1(s(tyop_2Erealax_2Ereal,V6a_2E0))) = s(tyop_2Erealax_2Ereal,c_2Erealax_2Ereal__add_2E2(s(tyop_2Erealax_2Ereal,c_2Erealax_2Ereal__mul_2E2(s(tyop_2Erealax_2Ereal,c_2Erealax_2Ereal__neg_2E1(s(tyop_2Erealax_2Ereal,V5u_2E0))),s(tyop_2Erealax_2Ereal,V2x_2E0))),s(tyop_2Erealax_2Ereal,c_2Erealax_2Ereal__add_2E2(s(tyop_2Erealax_2Ereal,c_2Erealax_2Ereal__mul_2E2(s(tyop_2Erealax_2Ereal,c_2Erealax_2Ereal__neg_2E1(s(tyop_2Erealax_2Ereal,V4v_2E0))),s(tyop_2Erealax_2Ereal,V1y_2E0))),s(tyop_2Erealax_2Ereal,c_2Erealax_2Ereal__mul_2E2(s(tyop_2Erealax_2Ereal,V3w_2E0),s(tyop_2Erealax_2Ereal,V0z_2E0)))))))
    <=> s(tyop_2Erealax_2Ereal,c_2Erealax_2Ereal__add_2E2(s(tyop_2Erealax_2Ereal,c_2Erealax_2Ereal__mul_2E2(s(tyop_2Erealax_2Ereal,V5u_2E0),s(tyop_2Erealax_2Ereal,V2x_2E0))),s(tyop_2Erealax_2Ereal,c_2Erealax_2Ereal__add_2E2(s(tyop_2Erealax_2Ereal,c_2Erealax_2Ereal__mul_2E2(s(tyop_2Erealax_2Ereal,V4v_2E0),s(tyop_2Erealax_2Ereal,V1y_2E0))),s(tyop_2Erealax_2Ereal,c_2Erealax_2Ereal__mul_2E2(s(tyop_2Erealax_2Ereal,c_2Erealax_2Ereal__neg_2E1(s(tyop_2Erealax_2Ereal,V3w_2E0))),s(tyop_2Erealax_2Ereal,V0z_2E0))))))) = s(tyop_2Erealax_2Ereal,V6a_2E0) ) ).

fof(thm_2EHolSmt_2Er151,axiom,
    ! [V0z_2E0,V1y_2E0,V2x_2E0,V3w_2E0,V4v_2E0,V5u_2E0,V6a_2E0] :
      ( s(tyop_2Erealax_2Ereal,c_2Erealax_2Ereal__neg_2E1(s(tyop_2Erealax_2Ereal,V6a_2E0))) = s(tyop_2Erealax_2Ereal,c_2Erealax_2Ereal__add_2E2(s(tyop_2Erealax_2Ereal,c_2Erealax_2Ereal__mul_2E2(s(tyop_2Erealax_2Ereal,c_2Erealax_2Ereal__neg_2E1(s(tyop_2Erealax_2Ereal,V5u_2E0))),s(tyop_2Erealax_2Ereal,V2x_2E0))),s(tyop_2Erealax_2Ereal,c_2Erealax_2Ereal__add_2E2(s(tyop_2Erealax_2Ereal,c_2Erealax_2Ereal__mul_2E2(s(tyop_2Erealax_2Ereal,c_2Erealax_2Ereal__neg_2E1(s(tyop_2Erealax_2Ereal,V4v_2E0))),s(tyop_2Erealax_2Ereal,V1y_2E0))),s(tyop_2Erealax_2Ereal,c_2Erealax_2Ereal__mul_2E2(s(tyop_2Erealax_2Ereal,c_2Erealax_2Ereal__neg_2E1(s(tyop_2Erealax_2Ereal,V3w_2E0))),s(tyop_2Erealax_2Ereal,V0z_2E0)))))))
    <=> s(tyop_2Erealax_2Ereal,c_2Erealax_2Ereal__add_2E2(s(tyop_2Erealax_2Ereal,c_2Erealax_2Ereal__mul_2E2(s(tyop_2Erealax_2Ereal,V5u_2E0),s(tyop_2Erealax_2Ereal,V2x_2E0))),s(tyop_2Erealax_2Ereal,c_2Erealax_2Ereal__add_2E2(s(tyop_2Erealax_2Ereal,c_2Erealax_2Ereal__mul_2E2(s(tyop_2Erealax_2Ereal,V4v_2E0),s(tyop_2Erealax_2Ereal,V1y_2E0))),s(tyop_2Erealax_2Ereal,c_2Erealax_2Ereal__mul_2E2(s(tyop_2Erealax_2Ereal,V3w_2E0),s(tyop_2Erealax_2Ereal,V0z_2E0))))))) = s(tyop_2Erealax_2Ereal,V6a_2E0) ) ).

fof(thm_2EHolSmt_2Er152,axiom,
    ! [V0z_2E0,V1y_2E0,V2x_2E0,V3w_2E0,V4u_2E0,V5a_2E0] :
      ( s(tyop_2Erealax_2Ereal,V5a_2E0) = s(tyop_2Erealax_2Ereal,c_2Erealax_2Ereal__add_2E2(s(tyop_2Erealax_2Ereal,c_2Erealax_2Ereal__mul_2E2(s(tyop_2Erealax_2Ereal,c_2Erealax_2Ereal__neg_2E1(s(tyop_2Erealax_2Ereal,V4u_2E0))),s(tyop_2Erealax_2Ereal,V2x_2E0))),s(tyop_2Erealax_2Ereal,c_2Erealax_2Ereal__add_2E2(s(tyop_2Erealax_2Ereal,c_2Erealax_2Ereal__mul_2E2(s(tyop_2Erealax_2Ereal,c_2Erealax_2Ereal__neg_2E1(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,V1y_2E0))),s(tyop_2Erealax_2Ereal,c_2Erealax_2Ereal__mul_2E2(s(tyop_2Erealax_2Ereal,V3w_2E0),s(tyop_2Erealax_2Ereal,V0z_2E0)))))))
    <=> s(tyop_2Erealax_2Ereal,c_2Erealax_2Ereal__add_2E2(s(tyop_2Erealax_2Ereal,c_2Erealax_2Ereal__mul_2E2(s(tyop_2Erealax_2Ereal,V4u_2E0),s(tyop_2Erealax_2Ereal,V2x_2E0))),s(tyop_2Erealax_2Ereal,c_2Erealax_2Ereal__add_2E2(s(tyop_2Erealax_2Ereal,V1y_2E0),s(tyop_2Erealax_2Ereal,c_2Erealax_2Ereal__mul_2E2(s(tyop_2Erealax_2Ereal,c_2Erealax_2Ereal__neg_2E1(s(tyop_2Erealax_2Ereal,V3w_2E0))),s(tyop_2Erealax_2Ereal,V0z_2E0))))))) = s(tyop_2Erealax_2Ereal,c_2Erealax_2Ereal__neg_2E1(s(tyop_2Erealax_2Ereal,V5a_2E0))) ) ).

fof(thm_2EHolSmt_2Er153,axiom,
    ! [V0z_2E0,V1y_2E0,V2x_2E0,V3w_2E0,V4u_2E0,V5a_2E0] :
      ( s(tyop_2Erealax_2Ereal,V5a_2E0) = s(tyop_2Erealax_2Ereal,c_2Erealax_2Ereal__add_2E2(s(tyop_2Erealax_2Ereal,c_2Erealax_2Ereal__mul_2E2(s(tyop_2Erealax_2Ereal,c_2Erealax_2Ereal__neg_2E1(s(tyop_2Erealax_2Ereal,V4u_2E0))),s(tyop_2Erealax_2Ereal,V2x_2E0))),s(tyop_2Erealax_2Ereal,c_2Erealax_2Ereal__add_2E2(s(tyop_2Erealax_2Ereal,c_2Erealax_2Ereal__mul_2E2(s(tyop_2Erealax_2Ereal,c_2Erealax_2Ereal__neg_2E1(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,V1y_2E0))),s(tyop_2Erealax_2Ereal,c_2Erealax_2Ereal__mul_2E2(s(tyop_2Erealax_2Ereal,c_2Erealax_2Ereal__neg_2E1(s(tyop_2Erealax_2Ereal,V3w_2E0))),s(tyop_2Erealax_2Ereal,V0z_2E0)))))))
    <=> s(tyop_2Erealax_2Ereal,c_2Erealax_2Ereal__add_2E2(s(tyop_2Erealax_2Ereal,c_2Erealax_2Ereal__mul_2E2(s(tyop_2Erealax_2Ereal,V4u_2E0),s(tyop_2Erealax_2Ereal,V2x_2E0))),s(tyop_2Erealax_2Ereal,c_2Erealax_2Ereal__add_2E2(s(tyop_2Erealax_2Ereal,V1y_2E0),s(tyop_2Erealax_2Ereal,c_2Erealax_2Ereal__mul_2E2(s(tyop_2Erealax_2Ereal,V3w_2E0),s(tyop_2Erealax_2Ereal,V0z_2E0))))))) = s(tyop_2Erealax_2Ereal,c_2Erealax_2Ereal__neg_2E1(s(tyop_2Erealax_2Ereal,V5a_2E0))) ) ).

fof(thm_2EHolSmt_2Er154,axiom,
    ! [V0y_2E0,V1x_2E0,V2v_2E0,V3u_2E0,V4a_2E0] :
      ( s(tyop_2Erealax_2Ereal,c_2Erealax_2Ereal__add_2E2(s(tyop_2Erealax_2Ereal,c_2Erealax_2Ereal__mul_2E2(s(tyop_2Erealax_2Ereal,c_2Erealax_2Ereal__neg_2E1(s(tyop_2Erealax_2Ereal,V3u_2E0))),s(tyop_2Erealax_2Ereal,V1x_2E0))),s(tyop_2Erealax_2Ereal,c_2Erealax_2Ereal__mul_2E2(s(tyop_2Erealax_2Ereal,c_2Erealax_2Ereal__neg_2E1(s(tyop_2Erealax_2Ereal,V2v_2E0))),s(tyop_2Erealax_2Ereal,V0y_2E0))))) = s(tyop_2Erealax_2Ereal,c_2Erealax_2Ereal__neg_2E1(s(tyop_2Erealax_2Ereal,V4a_2E0)))
    <=> s(tyop_2Erealax_2Ereal,c_2Erealax_2Ereal__add_2E2(s(tyop_2Erealax_2Ereal,c_2Erealax_2Ereal__mul_2E2(s(tyop_2Erealax_2Ereal,V3u_2E0),s(tyop_2Erealax_2Ereal,V1x_2E0))),s(tyop_2Erealax_2Ereal,c_2Erealax_2Ereal__mul_2E2(s(tyop_2Erealax_2Ereal,V2v_2E0),s(tyop_2Erealax_2Ereal,V0y_2E0))))) = s(tyop_2Erealax_2Ereal,V4a_2E0) ) ).

fof(thm_2EHolSmt_2Er155,axiom,
    ! [V0z_2E0,V1y_2E0,V2x_2E0,V3w_2E0,V4v_2E0,V5a_2E0] :
      ( s(tyop_2Erealax_2Ereal,c_2Erealax_2Ereal__add_2E2(s(tyop_2Erealax_2Ereal,c_2Erealax_2Ereal__mul_2E2(s(tyop_2Erealax_2Ereal,c_2Erealax_2Ereal__neg_2E1(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,V2x_2E0))),s(tyop_2Erealax_2Ereal,c_2Erealax_2Ereal__add_2E2(s(tyop_2Erealax_2Ereal,c_2Erealax_2Ereal__mul_2E2(s(tyop_2Erealax_2Ereal,c_2Erealax_2Ereal__neg_2E1(s(tyop_2Erealax_2Ereal,V4v_2E0))),s(tyop_2Erealax_2Ereal,V1y_2E0))),s(tyop_2Erealax_2Ereal,c_2Erealax_2Ereal__mul_2E2(s(tyop_2Erealax_2Ereal,c_2Erealax_2Ereal__neg_2E1(s(tyop_2Erealax_2Ereal,V3w_2E0))),s(tyop_2Erealax_2Ereal,V0z_2E0))))))) = s(tyop_2Erealax_2Ereal,c_2Erealax_2Ereal__neg_2E1(s(tyop_2Erealax_2Ereal,V5a_2E0)))
    <=> s(tyop_2Erealax_2Ereal,c_2Erealax_2Ereal__add_2E2(s(tyop_2Erealax_2Ereal,V2x_2E0),s(tyop_2Erealax_2Ereal,c_2Erealax_2Ereal__add_2E2(s(tyop_2Erealax_2Ereal,c_2Erealax_2Ereal__mul_2E2(s(tyop_2Erealax_2Ereal,V4v_2E0),s(tyop_2Erealax_2Ereal,V1y_2E0))),s(tyop_2Erealax_2Ereal,c_2Erealax_2Ereal__mul_2E2(s(tyop_2Erealax_2Ereal,V3w_2E0),s(tyop_2Erealax_2Ereal,V0z_2E0))))))) = s(tyop_2Erealax_2Ereal,V5a_2E0) ) ).

fof(thm_2EHolSmt_2Er156,axiom,
    ! [V0z_2E0,V1y_2E0,V2x_2E0,V3w_2E0,V4v_2E0,V5u_2E0,V6a_2E0] :
      ( s(tyop_2Erealax_2Ereal,c_2Erealax_2Ereal__add_2E2(s(tyop_2Erealax_2Ereal,c_2Erealax_2Ereal__mul_2E2(s(tyop_2Erealax_2Ereal,c_2Erealax_2Ereal__neg_2E1(s(tyop_2Erealax_2Ereal,V5u_2E0))),s(tyop_2Erealax_2Ereal,V2x_2E0))),s(tyop_2Erealax_2Ereal,c_2Erealax_2Ereal__add_2E2(s(tyop_2Erealax_2Ereal,c_2Erealax_2Ereal__mul_2E2(s(tyop_2Erealax_2Ereal,V4v_2E0),s(tyop_2Erealax_2Ereal,V1y_2E0))),s(tyop_2Erealax_2Ereal,c_2Erealax_2Ereal__mul_2E2(s(tyop_2Erealax_2Ereal,V3w_2E0),s(tyop_2Erealax_2Ereal,V0z_2E0))))))) = s(tyop_2Erealax_2Ereal,c_2Erealax_2Ereal__neg_2E1(s(tyop_2Erealax_2Ereal,V6a_2E0)))
    <=> s(tyop_2Erealax_2Ereal,c_2Erealax_2Ereal__add_2E2(s(tyop_2Erealax_2Ereal,c_2Erealax_2Ereal__mul_2E2(s(tyop_2Erealax_2Ereal,V5u_2E0),s(tyop_2Erealax_2Ereal,V2x_2E0))),s(tyop_2Erealax_2Ereal,c_2Erealax_2Ereal__add_2E2(s(tyop_2Erealax_2Ereal,c_2Erealax_2Ereal__mul_2E2(s(tyop_2Erealax_2Ereal,c_2Erealax_2Ereal__neg_2E1(s(tyop_2Erealax_2Ereal,V4v_2E0))),s(tyop_2Erealax_2Ereal,V1y_2E0))),s(tyop_2Erealax_2Ereal,c_2Erealax_2Ereal__mul_2E2(s(tyop_2Erealax_2Ereal,c_2Erealax_2Ereal__neg_2E1(s(tyop_2Erealax_2Ereal,V3w_2E0))),s(tyop_2Erealax_2Ereal,V0z_2E0))))))) = s(tyop_2Erealax_2Ereal,V6a_2E0) ) ).

fof(thm_2EHolSmt_2Er157,axiom,
    ! [V0z_2E0,V1y_2E0,V2x_2E0,V3w_2E0,V4v_2E0,V5u_2E0,V6a_2E0] :
      ( s(tyop_2Erealax_2Ereal,c_2Erealax_2Ereal__add_2E2(s(tyop_2Erealax_2Ereal,c_2Erealax_2Ereal__mul_2E2(s(tyop_2Erealax_2Ereal,c_2Erealax_2Ereal__neg_2E1(s(tyop_2Erealax_2Ereal,V5u_2E0))),s(tyop_2Erealax_2Ereal,V2x_2E0))),s(tyop_2Erealax_2Ereal,c_2Erealax_2Ereal__add_2E2(s(tyop_2Erealax_2Ereal,c_2Erealax_2Ereal__mul_2E2(s(tyop_2Erealax_2Ereal,c_2Erealax_2Ereal__neg_2E1(s(tyop_2Erealax_2Ereal,V4v_2E0))),s(tyop_2Erealax_2Ereal,V1y_2E0))),s(tyop_2Erealax_2Ereal,c_2Erealax_2Ereal__mul_2E2(s(tyop_2Erealax_2Ereal,V3w_2E0),s(tyop_2Erealax_2Ereal,V0z_2E0))))))) = s(tyop_2Erealax_2Ereal,c_2Erealax_2Ereal__neg_2E1(s(tyop_2Erealax_2Ereal,V6a_2E0)))
    <=> s(tyop_2Erealax_2Ereal,c_2Erealax_2Ereal__add_2E2(s(tyop_2Erealax_2Ereal,c_2Erealax_2Ereal__mul_2E2(s(tyop_2Erealax_2Ereal,V5u_2E0),s(tyop_2Erealax_2Ereal,V2x_2E0))),s(tyop_2Erealax_2Ereal,c_2Erealax_2Ereal__add_2E2(s(tyop_2Erealax_2Ereal,c_2Erealax_2Ereal__mul_2E2(s(tyop_2Erealax_2Ereal,V4v_2E0),s(tyop_2Erealax_2Ereal,V1y_2E0))),s(tyop_2Erealax_2Ereal,c_2Erealax_2Ereal__mul_2E2(s(tyop_2Erealax_2Ereal,c_2Erealax_2Ereal__neg_2E1(s(tyop_2Erealax_2Ereal,V3w_2E0))),s(tyop_2Erealax_2Ereal,V0z_2E0))))))) = s(tyop_2Erealax_2Ereal,V6a_2E0) ) ).

fof(thm_2EHolSmt_2Er158,axiom,
    ! [V0z_2E0,V1y_2E0,V2x_2E0,V3w_2E0,V4v_2E0,V5u_2E0,V6a_2E0] :
      ( s(tyop_2Erealax_2Ereal,c_2Erealax_2Ereal__add_2E2(s(tyop_2Erealax_2Ereal,c_2Erealax_2Ereal__mul_2E2(s(tyop_2Erealax_2Ereal,c_2Erealax_2Ereal__neg_2E1(s(tyop_2Erealax_2Ereal,V5u_2E0))),s(tyop_2Erealax_2Ereal,V2x_2E0))),s(tyop_2Erealax_2Ereal,c_2Erealax_2Ereal__add_2E2(s(tyop_2Erealax_2Ereal,c_2Erealax_2Ereal__mul_2E2(s(tyop_2Erealax_2Ereal,c_2Erealax_2Ereal__neg_2E1(s(tyop_2Erealax_2Ereal,V4v_2E0))),s(tyop_2Erealax_2Ereal,V1y_2E0))),s(tyop_2Erealax_2Ereal,c_2Erealax_2Ereal__mul_2E2(s(tyop_2Erealax_2Ereal,c_2Erealax_2Ereal__neg_2E1(s(tyop_2Erealax_2Ereal,V3w_2E0))),s(tyop_2Erealax_2Ereal,V0z_2E0))))))) = s(tyop_2Erealax_2Ereal,c_2Erealax_2Ereal__neg_2E1(s(tyop_2Erealax_2Ereal,V6a_2E0)))
    <=> s(tyop_2Erealax_2Ereal,c_2Erealax_2Ereal__add_2E2(s(tyop_2Erealax_2Ereal,c_2Erealax_2Ereal__mul_2E2(s(tyop_2Erealax_2Ereal,V5u_2E0),s(tyop_2Erealax_2Ereal,V2x_2E0))),s(tyop_2Erealax_2Ereal,c_2Erealax_2Ereal__add_2E2(s(tyop_2Erealax_2Ereal,c_2Erealax_2Ereal__mul_2E2(s(tyop_2Erealax_2Ereal,V4v_2E0),s(tyop_2Erealax_2Ereal,V1y_2E0))),s(tyop_2Erealax_2Ereal,c_2Erealax_2Ereal__mul_2E2(s(tyop_2Erealax_2Ereal,V3w_2E0),s(tyop_2Erealax_2Ereal,V0z_2E0))))))) = s(tyop_2Erealax_2Ereal,V6a_2E0) ) ).

fof(thm_2EHolSmt_2Er159,axiom,
    ! [V0y_2E0,V1x_2E0] : s(tyop_2Emin_2Ebool,c_2Ereal_2Ereal__ge_2E2(s(tyop_2Erealax_2Ereal,c_2Erealax_2Ereal__add_2E2(s(tyop_2Erealax_2Ereal,V1x_2E0),s(tyop_2Erealax_2Ereal,c_2Erealax_2Ereal__mul_2E2(s(tyop_2Erealax_2Ereal,c_2Erealax_2Ereal__neg_2E1(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,V0y_2E0))))),s(tyop_2Erealax_2Ereal,c_2Ereal_2Ereal__of__num_2E1(s(tyop_2Enum_2Enum,c_2Enum_2E0_2E0))))) = s(tyop_2Emin_2Ebool,c_2Ereal_2Ereal__lte_2E2(s(tyop_2Erealax_2Ereal,V0y_2E0),s(tyop_2Erealax_2Ereal,V1x_2E0))) ).

fof(thm_2EHolSmt_2Er160,axiom,
    ! [V0y_2E0,V1x_2E0] : s(tyop_2Emin_2Ebool,c_2Ereal_2Ereal__ge_2E2(s(tyop_2Erealax_2Ereal,V1x_2E0),s(tyop_2Erealax_2Ereal,V0y_2E0))) = s(tyop_2Emin_2Ebool,c_2Ereal_2Ereal__ge_2E2(s(tyop_2Erealax_2Ereal,c_2Erealax_2Ereal__add_2E2(s(tyop_2Erealax_2Ereal,V1x_2E0),s(tyop_2Erealax_2Ereal,c_2Erealax_2Ereal__mul_2E2(s(tyop_2Erealax_2Ereal,c_2Erealax_2Ereal__neg_2E1(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,V0y_2E0))))),s(tyop_2Erealax_2Ereal,c_2Ereal_2Ereal__of__num_2E1(s(tyop_2Enum_2Enum,c_2Enum_2E0_2E0))))) ).

fof(thm_2EHolSmt_2Er161,axiom,
    ! [V0y_2E0,V1x_2E0] :
      ( p(s(tyop_2Emin_2Ebool,c_2Ereal_2Ereal__gt_2E2(s(tyop_2Erealax_2Ereal,V1x_2E0),s(tyop_2Erealax_2Ereal,V0y_2E0))))
    <=> ~ p(s(tyop_2Emin_2Ebool,c_2Ereal_2Ereal__lte_2E2(s(tyop_2Erealax_2Ereal,c_2Erealax_2Ereal__add_2E2(s(tyop_2Erealax_2Ereal,V1x_2E0),s(tyop_2Erealax_2Ereal,c_2Erealax_2Ereal__mul_2E2(s(tyop_2Erealax_2Ereal,c_2Erealax_2Ereal__neg_2E1(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,V0y_2E0))))),s(tyop_2Erealax_2Ereal,c_2Ereal_2Ereal__of__num_2E1(s(tyop_2Enum_2Enum,c_2Enum_2E0_2E0)))))) ) ).

fof(thm_2EHolSmt_2Er162,axiom,
    ! [V0y_2E0,V1x_2E0] : s(tyop_2Emin_2Ebool,c_2Ereal_2Ereal__lte_2E2(s(tyop_2Erealax_2Ereal,V1x_2E0),s(tyop_2Erealax_2Ereal,V0y_2E0))) = s(tyop_2Emin_2Ebool,c_2Ereal_2Ereal__lte_2E2(s(tyop_2Erealax_2Ereal,c_2Erealax_2Ereal__add_2E2(s(tyop_2Erealax_2Ereal,V1x_2E0),s(tyop_2Erealax_2Ereal,c_2Erealax_2Ereal__mul_2E2(s(tyop_2Erealax_2Ereal,c_2Erealax_2Ereal__neg_2E1(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,V0y_2E0))))),s(tyop_2Erealax_2Ereal,c_2Ereal_2Ereal__of__num_2E1(s(tyop_2Enum_2Enum,c_2Enum_2E0_2E0))))) ).

fof(thm_2EHolSmt_2Er163,axiom,
    ! [V0z_2E0,V1y_2E0,V2x_2E0] : s(tyop_2Emin_2Ebool,c_2Ereal_2Ereal__lte_2E2(s(tyop_2Erealax_2Ereal,V2x_2E0),s(tyop_2Erealax_2Ereal,c_2Erealax_2Ereal__add_2E2(s(tyop_2Erealax_2Ereal,V1y_2E0),s(tyop_2Erealax_2Ereal,V0z_2E0))))) = s(tyop_2Emin_2Ebool,c_2Ereal_2Ereal__lte_2E2(s(tyop_2Erealax_2Ereal,c_2Erealax_2Ereal__add_2E2(s(tyop_2Erealax_2Ereal,V2x_2E0),s(tyop_2Erealax_2Ereal,c_2Erealax_2Ereal__mul_2E2(s(tyop_2Erealax_2Ereal,c_2Erealax_2Ereal__neg_2E1(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,V0z_2E0))))),s(tyop_2Erealax_2Ereal,V1y_2E0))) ).

fof(thm_2EHolSmt_2Er164,axiom,
    ! [V0x_2E0,V1u_2E0,V2a_2E0] : s(tyop_2Emin_2Ebool,c_2Ereal_2Ereal__lte_2E2(s(tyop_2Erealax_2Ereal,c_2Erealax_2Ereal__mul_2E2(s(tyop_2Erealax_2Ereal,c_2Erealax_2Ereal__neg_2E1(s(tyop_2Erealax_2Ereal,V1u_2E0))),s(tyop_2Erealax_2Ereal,V0x_2E0))),s(tyop_2Erealax_2Ereal,V2a_2E0))) = s(tyop_2Emin_2Ebool,c_2Ereal_2Ereal__ge_2E2(s(tyop_2Erealax_2Ereal,c_2Erealax_2Ereal__mul_2E2(s(tyop_2Erealax_2Ereal,V1u_2E0),s(tyop_2Erealax_2Ereal,V0x_2E0))),s(tyop_2Erealax_2Ereal,c_2Erealax_2Ereal__neg_2E1(s(tyop_2Erealax_2Ereal,V2a_2E0))))) ).

fof(thm_2EHolSmt_2Er165,axiom,
    ! [V0x_2E0,V1u_2E0,V2a_2E0] : s(tyop_2Emin_2Ebool,c_2Ereal_2Ereal__lte_2E2(s(tyop_2Erealax_2Ereal,c_2Erealax_2Ereal__mul_2E2(s(tyop_2Erealax_2Ereal,c_2Erealax_2Ereal__neg_2E1(s(tyop_2Erealax_2Ereal,V1u_2E0))),s(tyop_2Erealax_2Ereal,V0x_2E0))),s(tyop_2Erealax_2Ereal,c_2Erealax_2Ereal__neg_2E1(s(tyop_2Erealax_2Ereal,V2a_2E0))))) = s(tyop_2Emin_2Ebool,c_2Ereal_2Ereal__ge_2E2(s(tyop_2Erealax_2Ereal,c_2Erealax_2Ereal__mul_2E2(s(tyop_2Erealax_2Ereal,V1u_2E0),s(tyop_2Erealax_2Ereal,V0x_2E0))),s(tyop_2Erealax_2Ereal,V2a_2E0))) ).

fof(thm_2EHolSmt_2Er166,axiom,
    ! [V0y_2E0,V1x_2E0,V2v_2E0,V3u_2E0] : s(tyop_2Emin_2Ebool,c_2Ereal_2Ereal__lte_2E2(s(tyop_2Erealax_2Ereal,c_2Erealax_2Ereal__add_2E2(s(tyop_2Erealax_2Ereal,c_2Erealax_2Ereal__mul_2E2(s(tyop_2Erealax_2Ereal,c_2Erealax_2Ereal__neg_2E1(s(tyop_2Erealax_2Ereal,V3u_2E0))),s(tyop_2Erealax_2Ereal,V1x_2E0))),s(tyop_2Erealax_2Ereal,c_2Erealax_2Ereal__mul_2E2(s(tyop_2Erealax_2Ereal,V2v_2E0),s(tyop_2Erealax_2Ereal,V0y_2E0))))),s(tyop_2Erealax_2Ereal,c_2Ereal_2Ereal__of__num_2E1(s(tyop_2Enum_2Enum,c_2Enum_2E0_2E0))))) = s(tyop_2Emin_2Ebool,c_2Ereal_2Ereal__ge_2E2(s(tyop_2Erealax_2Ereal,c_2Erealax_2Ereal__add_2E2(s(tyop_2Erealax_2Ereal,c_2Erealax_2Ereal__mul_2E2(s(tyop_2Erealax_2Ereal,V3u_2E0),s(tyop_2Erealax_2Ereal,V1x_2E0))),s(tyop_2Erealax_2Ereal,c_2Erealax_2Ereal__mul_2E2(s(tyop_2Erealax_2Ereal,c_2Erealax_2Ereal__neg_2E1(s(tyop_2Erealax_2Ereal,V2v_2E0))),s(tyop_2Erealax_2Ereal,V0y_2E0))))),s(tyop_2Erealax_2Ereal,c_2Ereal_2Ereal__of__num_2E1(s(tyop_2Enum_2Enum,c_2Enum_2E0_2E0))))) ).

fof(thm_2EHolSmt_2Er167,axiom,
    ! [V0y_2E0,V1x_2E0,V2v_2E0,V3u_2E0,V4a_2E0] : s(tyop_2Emin_2Ebool,c_2Ereal_2Ereal__lte_2E2(s(tyop_2Erealax_2Ereal,c_2Erealax_2Ereal__add_2E2(s(tyop_2Erealax_2Ereal,c_2Erealax_2Ereal__mul_2E2(s(tyop_2Erealax_2Ereal,c_2Erealax_2Ereal__neg_2E1(s(tyop_2Erealax_2Ereal,V3u_2E0))),s(tyop_2Erealax_2Ereal,V1x_2E0))),s(tyop_2Erealax_2Ereal,c_2Erealax_2Ereal__mul_2E2(s(tyop_2Erealax_2Ereal,V2v_2E0),s(tyop_2Erealax_2Ereal,V0y_2E0))))),s(tyop_2Erealax_2Ereal,V4a_2E0))) = s(tyop_2Emin_2Ebool,c_2Ereal_2Ereal__ge_2E2(s(tyop_2Erealax_2Ereal,c_2Erealax_2Ereal__add_2E2(s(tyop_2Erealax_2Ereal,c_2Erealax_2Ereal__mul_2E2(s(tyop_2Erealax_2Ereal,V3u_2E0),s(tyop_2Erealax_2Ereal,V1x_2E0))),s(tyop_2Erealax_2Ereal,c_2Erealax_2Ereal__mul_2E2(s(tyop_2Erealax_2Ereal,c_2Erealax_2Ereal__neg_2E1(s(tyop_2Erealax_2Ereal,V2v_2E0))),s(tyop_2Erealax_2Ereal,V0y_2E0))))),s(tyop_2Erealax_2Ereal,c_2Erealax_2Ereal__neg_2E1(s(tyop_2Erealax_2Ereal,V4a_2E0))))) ).

fof(thm_2EHolSmt_2Er168,axiom,
    ! [V0y_2E0,V1x_2E0,V2v_2E0,V3u_2E0,V4a_2E0] : s(tyop_2Emin_2Ebool,c_2Ereal_2Ereal__lte_2E2(s(tyop_2Erealax_2Ereal,c_2Erealax_2Ereal__add_2E2(s(tyop_2Erealax_2Ereal,c_2Erealax_2Ereal__mul_2E2(s(tyop_2Erealax_2Ereal,c_2Erealax_2Ereal__neg_2E1(s(tyop_2Erealax_2Ereal,V3u_2E0))),s(tyop_2Erealax_2Ereal,V1x_2E0))),s(tyop_2Erealax_2Ereal,c_2Erealax_2Ereal__mul_2E2(s(tyop_2Erealax_2Ereal,V2v_2E0),s(tyop_2Erealax_2Ereal,V0y_2E0))))),s(tyop_2Erealax_2Ereal,c_2Erealax_2Ereal__neg_2E1(s(tyop_2Erealax_2Ereal,V4a_2E0))))) = s(tyop_2Emin_2Ebool,c_2Ereal_2Ereal__ge_2E2(s(tyop_2Erealax_2Ereal,c_2Erealax_2Ereal__add_2E2(s(tyop_2Erealax_2Ereal,c_2Erealax_2Ereal__mul_2E2(s(tyop_2Erealax_2Ereal,V3u_2E0),s(tyop_2Erealax_2Ereal,V1x_2E0))),s(tyop_2Erealax_2Ereal,c_2Erealax_2Ereal__mul_2E2(s(tyop_2Erealax_2Ereal,c_2Erealax_2Ereal__neg_2E1(s(tyop_2Erealax_2Ereal,V2v_2E0))),s(tyop_2Erealax_2Ereal,V0y_2E0))))),s(tyop_2Erealax_2Ereal,V4a_2E0))) ).

fof(thm_2EHolSmt_2Er169,axiom,
    ! [V0y_2E0,V1x_2E0,V2v_2E0,V3u_2E0,V4a_2E0] : s(tyop_2Emin_2Ebool,c_2Ereal_2Ereal__lte_2E2(s(tyop_2Erealax_2Ereal,c_2Erealax_2Ereal__add_2E2(s(tyop_2Erealax_2Ereal,c_2Erealax_2Ereal__mul_2E2(s(tyop_2Erealax_2Ereal,c_2Erealax_2Ereal__neg_2E1(s(tyop_2Erealax_2Ereal,V3u_2E0))),s(tyop_2Erealax_2Ereal,V1x_2E0))),s(tyop_2Erealax_2Ereal,c_2Erealax_2Ereal__mul_2E2(s(tyop_2Erealax_2Ereal,c_2Erealax_2Ereal__neg_2E1(s(tyop_2Erealax_2Ereal,V2v_2E0))),s(tyop_2Erealax_2Ereal,V0y_2E0))))),s(tyop_2Erealax_2Ereal,V4a_2E0))) = s(tyop_2Emin_2Ebool,c_2Ereal_2Ereal__ge_2E2(s(tyop_2Erealax_2Ereal,c_2Erealax_2Ereal__add_2E2(s(tyop_2Erealax_2Ereal,c_2Erealax_2Ereal__mul_2E2(s(tyop_2Erealax_2Ereal,V3u_2E0),s(tyop_2Erealax_2Ereal,V1x_2E0))),s(tyop_2Erealax_2Ereal,c_2Erealax_2Ereal__mul_2E2(s(tyop_2Erealax_2Ereal,V2v_2E0),s(tyop_2Erealax_2Ereal,V0y_2E0))))),s(tyop_2Erealax_2Ereal,c_2Erealax_2Ereal__neg_2E1(s(tyop_2Erealax_2Ereal,V4a_2E0))))) ).

fof(thm_2EHolSmt_2Er170,axiom,
    ! [V0y_2E0,V1x_2E0,V2v_2E0,V3u_2E0,V4a_2E0] : s(tyop_2Emin_2Ebool,c_2Ereal_2Ereal__lte_2E2(s(tyop_2Erealax_2Ereal,c_2Erealax_2Ereal__add_2E2(s(tyop_2Erealax_2Ereal,c_2Erealax_2Ereal__mul_2E2(s(tyop_2Erealax_2Ereal,c_2Erealax_2Ereal__neg_2E1(s(tyop_2Erealax_2Ereal,V3u_2E0))),s(tyop_2Erealax_2Ereal,V1x_2E0))),s(tyop_2Erealax_2Ereal,c_2Erealax_2Ereal__mul_2E2(s(tyop_2Erealax_2Ereal,c_2Erealax_2Ereal__neg_2E1(s(tyop_2Erealax_2Ereal,V2v_2E0))),s(tyop_2Erealax_2Ereal,V0y_2E0))))),s(tyop_2Erealax_2Ereal,c_2Erealax_2Ereal__neg_2E1(s(tyop_2Erealax_2Ereal,V4a_2E0))))) = s(tyop_2Emin_2Ebool,c_2Ereal_2Ereal__ge_2E2(s(tyop_2Erealax_2Ereal,c_2Erealax_2Ereal__add_2E2(s(tyop_2Erealax_2Ereal,c_2Erealax_2Ereal__mul_2E2(s(tyop_2Erealax_2Ereal,V3u_2E0),s(tyop_2Erealax_2Ereal,V1x_2E0))),s(tyop_2Erealax_2Ereal,c_2Erealax_2Ereal__mul_2E2(s(tyop_2Erealax_2Ereal,V2v_2E0),s(tyop_2Erealax_2Ereal,V0y_2E0))))),s(tyop_2Erealax_2Ereal,V4a_2E0))) ).

fof(thm_2EHolSmt_2Er171,axiom,
    ! [V0z_2E0,V1y_2E0,V2x_2E0,V3w_2E0,V4v_2E0,V5u_2E0] : s(tyop_2Emin_2Ebool,c_2Ereal_2Ereal__lte_2E2(s(tyop_2Erealax_2Ereal,c_2Erealax_2Ereal__add_2E2(s(tyop_2Erealax_2Ereal,c_2Erealax_2Ereal__mul_2E2(s(tyop_2Erealax_2Ereal,c_2Erealax_2Ereal__neg_2E1(s(tyop_2Erealax_2Ereal,V5u_2E0))),s(tyop_2Erealax_2Ereal,V2x_2E0))),s(tyop_2Erealax_2Ereal,c_2Erealax_2Ereal__add_2E2(s(tyop_2Erealax_2Ereal,c_2Erealax_2Ereal__mul_2E2(s(tyop_2Erealax_2Ereal,V4v_2E0),s(tyop_2Erealax_2Ereal,V1y_2E0))),s(tyop_2Erealax_2Ereal,c_2Erealax_2Ereal__mul_2E2(s(tyop_2Erealax_2Ereal,V3w_2E0),s(tyop_2Erealax_2Ereal,V0z_2E0))))))),s(tyop_2Erealax_2Ereal,c_2Ereal_2Ereal__of__num_2E1(s(tyop_2Enum_2Enum,c_2Enum_2E0_2E0))))) = s(tyop_2Emin_2Ebool,c_2Ereal_2Ereal__ge_2E2(s(tyop_2Erealax_2Ereal,c_2Erealax_2Ereal__add_2E2(s(tyop_2Erealax_2Ereal,c_2Erealax_2Ereal__mul_2E2(s(tyop_2Erealax_2Ereal,V5u_2E0),s(tyop_2Erealax_2Ereal,V2x_2E0))),s(tyop_2Erealax_2Ereal,c_2Erealax_2Ereal__add_2E2(s(tyop_2Erealax_2Ereal,c_2Erealax_2Ereal__mul_2E2(s(tyop_2Erealax_2Ereal,c_2Erealax_2Ereal__neg_2E1(s(tyop_2Erealax_2Ereal,V4v_2E0))),s(tyop_2Erealax_2Ereal,V1y_2E0))),s(tyop_2Erealax_2Ereal,c_2Erealax_2Ereal__mul_2E2(s(tyop_2Erealax_2Ereal,c_2Erealax_2Ereal__neg_2E1(s(tyop_2Erealax_2Ereal,V3w_2E0))),s(tyop_2Erealax_2Ereal,V0z_2E0))))))),s(tyop_2Erealax_2Ereal,c_2Ereal_2Ereal__of__num_2E1(s(tyop_2Enum_2Enum,c_2Enum_2E0_2E0))))) ).

fof(thm_2EHolSmt_2Er172,axiom,
    ! [V0z_2E0,V1y_2E0,V2x_2E0,V3w_2E0,V4v_2E0,V5u_2E0] : s(tyop_2Emin_2Ebool,c_2Ereal_2Ereal__lte_2E2(s(tyop_2Erealax_2Ereal,c_2Erealax_2Ereal__add_2E2(s(tyop_2Erealax_2Ereal,c_2Erealax_2Ereal__mul_2E2(s(tyop_2Erealax_2Ereal,c_2Erealax_2Ereal__neg_2E1(s(tyop_2Erealax_2Ereal,V5u_2E0))),s(tyop_2Erealax_2Ereal,V2x_2E0))),s(tyop_2Erealax_2Ereal,c_2Erealax_2Ereal__add_2E2(s(tyop_2Erealax_2Ereal,c_2Erealax_2Ereal__mul_2E2(s(tyop_2Erealax_2Ereal,V4v_2E0),s(tyop_2Erealax_2Ereal,V1y_2E0))),s(tyop_2Erealax_2Ereal,c_2Erealax_2Ereal__mul_2E2(s(tyop_2Erealax_2Ereal,c_2Erealax_2Ereal__neg_2E1(s(tyop_2Erealax_2Ereal,V3w_2E0))),s(tyop_2Erealax_2Ereal,V0z_2E0))))))),s(tyop_2Erealax_2Ereal,c_2Ereal_2Ereal__of__num_2E1(s(tyop_2Enum_2Enum,c_2Enum_2E0_2E0))))) = s(tyop_2Emin_2Ebool,c_2Ereal_2Ereal__ge_2E2(s(tyop_2Erealax_2Ereal,c_2Erealax_2Ereal__add_2E2(s(tyop_2Erealax_2Ereal,c_2Erealax_2Ereal__mul_2E2(s(tyop_2Erealax_2Ereal,V5u_2E0),s(tyop_2Erealax_2Ereal,V2x_2E0))),s(tyop_2Erealax_2Ereal,c_2Erealax_2Ereal__add_2E2(s(tyop_2Erealax_2Ereal,c_2Erealax_2Ereal__mul_2E2(s(tyop_2Erealax_2Ereal,c_2Erealax_2Ereal__neg_2E1(s(tyop_2Erealax_2Ereal,V4v_2E0))),s(tyop_2Erealax_2Ereal,V1y_2E0))),s(tyop_2Erealax_2Ereal,c_2Erealax_2Ereal__mul_2E2(s(tyop_2Erealax_2Ereal,V3w_2E0),s(tyop_2Erealax_2Ereal,V0z_2E0))))))),s(tyop_2Erealax_2Ereal,c_2Ereal_2Ereal__of__num_2E1(s(tyop_2Enum_2Enum,c_2Enum_2E0_2E0))))) ).

fof(thm_2EHolSmt_2Er173,axiom,
    ! [V0z_2E0,V1y_2E0,V2x_2E0,V3w_2E0,V4v_2E0,V5u_2E0] : s(tyop_2Emin_2Ebool,c_2Ereal_2Ereal__lte_2E2(s(tyop_2Erealax_2Ereal,c_2Erealax_2Ereal__add_2E2(s(tyop_2Erealax_2Ereal,c_2Erealax_2Ereal__mul_2E2(s(tyop_2Erealax_2Ereal,c_2Erealax_2Ereal__neg_2E1(s(tyop_2Erealax_2Ereal,V5u_2E0))),s(tyop_2Erealax_2Ereal,V2x_2E0))),s(tyop_2Erealax_2Ereal,c_2Erealax_2Ereal__add_2E2(s(tyop_2Erealax_2Ereal,c_2Erealax_2Ereal__mul_2E2(s(tyop_2Erealax_2Ereal,c_2Erealax_2Ereal__neg_2E1(s(tyop_2Erealax_2Ereal,V4v_2E0))),s(tyop_2Erealax_2Ereal,V1y_2E0))),s(tyop_2Erealax_2Ereal,c_2Erealax_2Ereal__mul_2E2(s(tyop_2Erealax_2Ereal,V3w_2E0),s(tyop_2Erealax_2Ereal,V0z_2E0))))))),s(tyop_2Erealax_2Ereal,c_2Ereal_2Ereal__of__num_2E1(s(tyop_2Enum_2Enum,c_2Enum_2E0_2E0))))) = s(tyop_2Emin_2Ebool,c_2Ereal_2Ereal__ge_2E2(s(tyop_2Erealax_2Ereal,c_2Erealax_2Ereal__add_2E2(s(tyop_2Erealax_2Ereal,c_2Erealax_2Ereal__mul_2E2(s(tyop_2Erealax_2Ereal,V5u_2E0),s(tyop_2Erealax_2Ereal,V2x_2E0))),s(tyop_2Erealax_2Ereal,c_2Erealax_2Ereal__add_2E2(s(tyop_2Erealax_2Ereal,c_2Erealax_2Ereal__mul_2E2(s(tyop_2Erealax_2Ereal,V4v_2E0),s(tyop_2Erealax_2Ereal,V1y_2E0))),s(tyop_2Erealax_2Ereal,c_2Erealax_2Ereal__mul_2E2(s(tyop_2Erealax_2Ereal,c_2Erealax_2Ereal__neg_2E1(s(tyop_2Erealax_2Ereal,V3w_2E0))),s(tyop_2Erealax_2Ereal,V0z_2E0))))))),s(tyop_2Erealax_2Ereal,c_2Ereal_2Ereal__of__num_2E1(s(tyop_2Enum_2Enum,c_2Enum_2E0_2E0))))) ).

fof(thm_2EHolSmt_2Er174,axiom,
    ! [V0z_2E0,V1y_2E0,V2x_2E0,V3w_2E0,V4v_2E0,V5u_2E0] : s(tyop_2Emin_2Ebool,c_2Ereal_2Ereal__lte_2E2(s(tyop_2Erealax_2Ereal,c_2Erealax_2Ereal__add_2E2(s(tyop_2Erealax_2Ereal,c_2Erealax_2Ereal__mul_2E2(s(tyop_2Erealax_2Ereal,c_2Erealax_2Ereal__neg_2E1(s(tyop_2Erealax_2Ereal,V5u_2E0))),s(tyop_2Erealax_2Ereal,V2x_2E0))),s(tyop_2Erealax_2Ereal,c_2Erealax_2Ereal__add_2E2(s(tyop_2Erealax_2Ereal,c_2Erealax_2Ereal__mul_2E2(s(tyop_2Erealax_2Ereal,c_2Erealax_2Ereal__neg_2E1(s(tyop_2Erealax_2Ereal,V4v_2E0))),s(tyop_2Erealax_2Ereal,V1y_2E0))),s(tyop_2Erealax_2Ereal,c_2Erealax_2Ereal__mul_2E2(s(tyop_2Erealax_2Ereal,c_2Erealax_2Ereal__neg_2E1(s(tyop_2Erealax_2Ereal,V3w_2E0))),s(tyop_2Erealax_2Ereal,V0z_2E0))))))),s(tyop_2Erealax_2Ereal,c_2Ereal_2Ereal__of__num_2E1(s(tyop_2Enum_2Enum,c_2Enum_2E0_2E0))))) = s(tyop_2Emin_2Ebool,c_2Ereal_2Ereal__ge_2E2(s(tyop_2Erealax_2Ereal,c_2Erealax_2Ereal__add_2E2(s(tyop_2Erealax_2Ereal,c_2Erealax_2Ereal__mul_2E2(s(tyop_2Erealax_2Ereal,V5u_2E0),s(tyop_2Erealax_2Ereal,V2x_2E0))),s(tyop_2Erealax_2Ereal,c_2Erealax_2Ereal__add_2E2(s(tyop_2Erealax_2Ereal,c_2Erealax_2Ereal__mul_2E2(s(tyop_2Erealax_2Ereal,V4v_2E0),s(tyop_2Erealax_2Ereal,V1y_2E0))),s(tyop_2Erealax_2Ereal,c_2Erealax_2Ereal__mul_2E2(s(tyop_2Erealax_2Ereal,V3w_2E0),s(tyop_2Erealax_2Ereal,V0z_2E0))))))),s(tyop_2Erealax_2Ereal,c_2Ereal_2Ereal__of__num_2E1(s(tyop_2Enum_2Enum,c_2Enum_2E0_2E0))))) ).

fof(thm_2EHolSmt_2Er175,axiom,
    ! [V0z_2E0,V1y_2E0,V2x_2E0,V3w_2E0,V4v_2E0,V5u_2E0,V6a_2E0] : s(tyop_2Emin_2Ebool,c_2Ereal_2Ereal__lte_2E2(s(tyop_2Erealax_2Ereal,c_2Erealax_2Ereal__add_2E2(s(tyop_2Erealax_2Ereal,c_2Erealax_2Ereal__mul_2E2(s(tyop_2Erealax_2Ereal,c_2Erealax_2Ereal__neg_2E1(s(tyop_2Erealax_2Ereal,V5u_2E0))),s(tyop_2Erealax_2Ereal,V2x_2E0))),s(tyop_2Erealax_2Ereal,c_2Erealax_2Ereal__add_2E2(s(tyop_2Erealax_2Ereal,c_2Erealax_2Ereal__mul_2E2(s(tyop_2Erealax_2Ereal,V4v_2E0),s(tyop_2Erealax_2Ereal,V1y_2E0))),s(tyop_2Erealax_2Ereal,c_2Erealax_2Ereal__mul_2E2(s(tyop_2Erealax_2Ereal,V3w_2E0),s(tyop_2Erealax_2Ereal,V0z_2E0))))))),s(tyop_2Erealax_2Ereal,V6a_2E0))) = s(tyop_2Emin_2Ebool,c_2Ereal_2Ereal__ge_2E2(s(tyop_2Erealax_2Ereal,c_2Erealax_2Ereal__add_2E2(s(tyop_2Erealax_2Ereal,c_2Erealax_2Ereal__mul_2E2(s(tyop_2Erealax_2Ereal,V5u_2E0),s(tyop_2Erealax_2Ereal,V2x_2E0))),s(tyop_2Erealax_2Ereal,c_2Erealax_2Ereal__add_2E2(s(tyop_2Erealax_2Ereal,c_2Erealax_2Ereal__mul_2E2(s(tyop_2Erealax_2Ereal,c_2Erealax_2Ereal__neg_2E1(s(tyop_2Erealax_2Ereal,V4v_2E0))),s(tyop_2Erealax_2Ereal,V1y_2E0))),s(tyop_2Erealax_2Ereal,c_2Erealax_2Ereal__mul_2E2(s(tyop_2Erealax_2Ereal,c_2Erealax_2Ereal__neg_2E1(s(tyop_2Erealax_2Ereal,V3w_2E0))),s(tyop_2Erealax_2Ereal,V0z_2E0))))))),s(tyop_2Erealax_2Ereal,c_2Erealax_2Ereal__neg_2E1(s(tyop_2Erealax_2Ereal,V6a_2E0))))) ).

fof(thm_2EHolSmt_2Er176,axiom,
    ! [V0z_2E0,V1y_2E0,V2x_2E0,V3w_2E0,V4v_2E0,V5u_2E0,V6a_2E0] : s(tyop_2Emin_2Ebool,c_2Ereal_2Ereal__lte_2E2(s(tyop_2Erealax_2Ereal,c_2Erealax_2Ereal__add_2E2(s(tyop_2Erealax_2Ereal,c_2Erealax_2Ereal__mul_2E2(s(tyop_2Erealax_2Ereal,c_2Erealax_2Ereal__neg_2E1(s(tyop_2Erealax_2Ereal,V5u_2E0))),s(tyop_2Erealax_2Ereal,V2x_2E0))),s(tyop_2Erealax_2Ereal,c_2Erealax_2Ereal__add_2E2(s(tyop_2Erealax_2Ereal,c_2Erealax_2Ereal__mul_2E2(s(tyop_2Erealax_2Ereal,V4v_2E0),s(tyop_2Erealax_2Ereal,V1y_2E0))),s(tyop_2Erealax_2Ereal,c_2Erealax_2Ereal__mul_2E2(s(tyop_2Erealax_2Ereal,V3w_2E0),s(tyop_2Erealax_2Ereal,V0z_2E0))))))),s(tyop_2Erealax_2Ereal,c_2Erealax_2Ereal__neg_2E1(s(tyop_2Erealax_2Ereal,V6a_2E0))))) = s(tyop_2Emin_2Ebool,c_2Ereal_2Ereal__ge_2E2(s(tyop_2Erealax_2Ereal,c_2Erealax_2Ereal__add_2E2(s(tyop_2Erealax_2Ereal,c_2Erealax_2Ereal__mul_2E2(s(tyop_2Erealax_2Ereal,V5u_2E0),s(tyop_2Erealax_2Ereal,V2x_2E0))),s(tyop_2Erealax_2Ereal,c_2Erealax_2Ereal__add_2E2(s(tyop_2Erealax_2Ereal,c_2Erealax_2Ereal__mul_2E2(s(tyop_2Erealax_2Ereal,c_2Erealax_2Ereal__neg_2E1(s(tyop_2Erealax_2Ereal,V4v_2E0))),s(tyop_2Erealax_2Ereal,V1y_2E0))),s(tyop_2Erealax_2Ereal,c_2Erealax_2Ereal__mul_2E2(s(tyop_2Erealax_2Ereal,c_2Erealax_2Ereal__neg_2E1(s(tyop_2Erealax_2Ereal,V3w_2E0))),s(tyop_2Erealax_2Ereal,V0z_2E0))))))),s(tyop_2Erealax_2Ereal,V6a_2E0))) ).

fof(thm_2EHolSmt_2Er177,axiom,
    ! [V0z_2E0,V1y_2E0,V2x_2E0,V3w_2E0,V4v_2E0,V5u_2E0,V6a_2E0] : s(tyop_2Emin_2Ebool,c_2Ereal_2Ereal__lte_2E2(s(tyop_2Erealax_2Ereal,c_2Erealax_2Ereal__add_2E2(s(tyop_2Erealax_2Ereal,c_2Erealax_2Ereal__mul_2E2(s(tyop_2Erealax_2Ereal,c_2Erealax_2Ereal__neg_2E1(s(tyop_2Erealax_2Ereal,V5u_2E0))),s(tyop_2Erealax_2Ereal,V2x_2E0))),s(tyop_2Erealax_2Ereal,c_2Erealax_2Ereal__add_2E2(s(tyop_2Erealax_2Ereal,c_2Erealax_2Ereal__mul_2E2(s(tyop_2Erealax_2Ereal,V4v_2E0),s(tyop_2Erealax_2Ereal,V1y_2E0))),s(tyop_2Erealax_2Ereal,c_2Erealax_2Ereal__mul_2E2(s(tyop_2Erealax_2Ereal,c_2Erealax_2Ereal__neg_2E1(s(tyop_2Erealax_2Ereal,V3w_2E0))),s(tyop_2Erealax_2Ereal,V0z_2E0))))))),s(tyop_2Erealax_2Ereal,V6a_2E0))) = s(tyop_2Emin_2Ebool,c_2Ereal_2Ereal__ge_2E2(s(tyop_2Erealax_2Ereal,c_2Erealax_2Ereal__add_2E2(s(tyop_2Erealax_2Ereal,c_2Erealax_2Ereal__mul_2E2(s(tyop_2Erealax_2Ereal,V5u_2E0),s(tyop_2Erealax_2Ereal,V2x_2E0))),s(tyop_2Erealax_2Ereal,c_2Erealax_2Ereal__add_2E2(s(tyop_2Erealax_2Ereal,c_2Erealax_2Ereal__mul_2E2(s(tyop_2Erealax_2Ereal,c_2Erealax_2Ereal__neg_2E1(s(tyop_2Erealax_2Ereal,V4v_2E0))),s(tyop_2Erealax_2Ereal,V1y_2E0))),s(tyop_2Erealax_2Ereal,c_2Erealax_2Ereal__mul_2E2(s(tyop_2Erealax_2Ereal,V3w_2E0),s(tyop_2Erealax_2Ereal,V0z_2E0))))))),s(tyop_2Erealax_2Ereal,c_2Erealax_2Ereal__neg_2E1(s(tyop_2Erealax_2Ereal,V6a_2E0))))) ).

fof(thm_2EHolSmt_2Er178,axiom,
    ! [V0z_2E0,V1y_2E0,V2x_2E0,V3w_2E0,V4v_2E0,V5u_2E0,V6a_2E0] : s(tyop_2Emin_2Ebool,c_2Ereal_2Ereal__lte_2E2(s(tyop_2Erealax_2Ereal,c_2Erealax_2Ereal__add_2E2(s(tyop_2Erealax_2Ereal,c_2Erealax_2Ereal__mul_2E2(s(tyop_2Erealax_2Ereal,c_2Erealax_2Ereal__neg_2E1(s(tyop_2Erealax_2Ereal,V5u_2E0))),s(tyop_2Erealax_2Ereal,V2x_2E0))),s(tyop_2Erealax_2Ereal,c_2Erealax_2Ereal__add_2E2(s(tyop_2Erealax_2Ereal,c_2Erealax_2Ereal__mul_2E2(s(tyop_2Erealax_2Ereal,V4v_2E0),s(tyop_2Erealax_2Ereal,V1y_2E0))),s(tyop_2Erealax_2Ereal,c_2Erealax_2Ereal__mul_2E2(s(tyop_2Erealax_2Ereal,c_2Erealax_2Ereal__neg_2E1(s(tyop_2Erealax_2Ereal,V3w_2E0))),s(tyop_2Erealax_2Ereal,V0z_2E0))))))),s(tyop_2Erealax_2Ereal,c_2Erealax_2Ereal__neg_2E1(s(tyop_2Erealax_2Ereal,V6a_2E0))))) = s(tyop_2Emin_2Ebool,c_2Ereal_2Ereal__ge_2E2(s(tyop_2Erealax_2Ereal,c_2Erealax_2Ereal__add_2E2(s(tyop_2Erealax_2Ereal,c_2Erealax_2Ereal__mul_2E2(s(tyop_2Erealax_2Ereal,V5u_2E0),s(tyop_2Erealax_2Ereal,V2x_2E0))),s(tyop_2Erealax_2Ereal,c_2Erealax_2Ereal__add_2E2(s(tyop_2Erealax_2Ereal,c_2Erealax_2Ereal__mul_2E2(s(tyop_2Erealax_2Ereal,c_2Erealax_2Ereal__neg_2E1(s(tyop_2Erealax_2Ereal,V4v_2E0))),s(tyop_2Erealax_2Ereal,V1y_2E0))),s(tyop_2Erealax_2Ereal,c_2Erealax_2Ereal__mul_2E2(s(tyop_2Erealax_2Ereal,V3w_2E0),s(tyop_2Erealax_2Ereal,V0z_2E0))))))),s(tyop_2Erealax_2Ereal,V6a_2E0))) ).

fof(thm_2EHolSmt_2Er179,axiom,
    ! [V0z_2E0,V1y_2E0,V2x_2E0,V3w_2E0,V4v_2E0,V5u_2E0,V6a_2E0] : s(tyop_2Emin_2Ebool,c_2Ereal_2Ereal__lte_2E2(s(tyop_2Erealax_2Ereal,c_2Erealax_2Ereal__add_2E2(s(tyop_2Erealax_2Ereal,c_2Erealax_2Ereal__mul_2E2(s(tyop_2Erealax_2Ereal,c_2Erealax_2Ereal__neg_2E1(s(tyop_2Erealax_2Ereal,V5u_2E0))),s(tyop_2Erealax_2Ereal,V2x_2E0))),s(tyop_2Erealax_2Ereal,c_2Erealax_2Ereal__add_2E2(s(tyop_2Erealax_2Ereal,c_2Erealax_2Ereal__mul_2E2(s(tyop_2Erealax_2Ereal,c_2Erealax_2Ereal__neg_2E1(s(tyop_2Erealax_2Ereal,V4v_2E0))),s(tyop_2Erealax_2Ereal,V1y_2E0))),s(tyop_2Erealax_2Ereal,c_2Erealax_2Ereal__mul_2E2(s(tyop_2Erealax_2Ereal,V3w_2E0),s(tyop_2Erealax_2Ereal,V0z_2E0))))))),s(tyop_2Erealax_2Ereal,V6a_2E0))) = s(tyop_2Emin_2Ebool,c_2Ereal_2Ereal__ge_2E2(s(tyop_2Erealax_2Ereal,c_2Erealax_2Ereal__add_2E2(s(tyop_2Erealax_2Ereal,c_2Erealax_2Ereal__mul_2E2(s(tyop_2Erealax_2Ereal,V5u_2E0),s(tyop_2Erealax_2Ereal,V2x_2E0))),s(tyop_2Erealax_2Ereal,c_2Erealax_2Ereal__add_2E2(s(tyop_2Erealax_2Ereal,c_2Erealax_2Ereal__mul_2E2(s(tyop_2Erealax_2Ereal,V4v_2E0),s(tyop_2Erealax_2Ereal,V1y_2E0))),s(tyop_2Erealax_2Ereal,c_2Erealax_2Ereal__mul_2E2(s(tyop_2Erealax_2Ereal,c_2Erealax_2Ereal__neg_2E1(s(tyop_2Erealax_2Ereal,V3w_2E0))),s(tyop_2Erealax_2Ereal,V0z_2E0))))))),s(tyop_2Erealax_2Ereal,c_2Erealax_2Ereal__neg_2E1(s(tyop_2Erealax_2Ereal,V6a_2E0))))) ).

fof(thm_2EHolSmt_2Er180,axiom,
    ! [V0z_2E0,V1y_2E0,V2x_2E0,V3w_2E0,V4v_2E0,V5u_2E0,V6a_2E0] : s(tyop_2Emin_2Ebool,c_2Ereal_2Ereal__lte_2E2(s(tyop_2Erealax_2Ereal,c_2Erealax_2Ereal__add_2E2(s(tyop_2Erealax_2Ereal,c_2Erealax_2Ereal__mul_2E2(s(tyop_2Erealax_2Ereal,c_2Erealax_2Ereal__neg_2E1(s(tyop_2Erealax_2Ereal,V5u_2E0))),s(tyop_2Erealax_2Ereal,V2x_2E0))),s(tyop_2Erealax_2Ereal,c_2Erealax_2Ereal__add_2E2(s(tyop_2Erealax_2Ereal,c_2Erealax_2Ereal__mul_2E2(s(tyop_2Erealax_2Ereal,c_2Erealax_2Ereal__neg_2E1(s(tyop_2Erealax_2Ereal,V4v_2E0))),s(tyop_2Erealax_2Ereal,V1y_2E0))),s(tyop_2Erealax_2Ereal,c_2Erealax_2Ereal__mul_2E2(s(tyop_2Erealax_2Ereal,V3w_2E0),s(tyop_2Erealax_2Ereal,V0z_2E0))))))),s(tyop_2Erealax_2Ereal,c_2Erealax_2Ereal__neg_2E1(s(tyop_2Erealax_2Ereal,V6a_2E0))))) = s(tyop_2Emin_2Ebool,c_2Ereal_2Ereal__ge_2E2(s(tyop_2Erealax_2Ereal,c_2Erealax_2Ereal__add_2E2(s(tyop_2Erealax_2Ereal,c_2Erealax_2Ereal__mul_2E2(s(tyop_2Erealax_2Ereal,V5u_2E0),s(tyop_2Erealax_2Ereal,V2x_2E0))),s(tyop_2Erealax_2Ereal,c_2Erealax_2Ereal__add_2E2(s(tyop_2Erealax_2Ereal,c_2Erealax_2Ereal__mul_2E2(s(tyop_2Erealax_2Ereal,V4v_2E0),s(tyop_2Erealax_2Ereal,V1y_2E0))),s(tyop_2Erealax_2Ereal,c_2Erealax_2Ereal__mul_2E2(s(tyop_2Erealax_2Ereal,c_2Erealax_2Ereal__neg_2E1(s(tyop_2Erealax_2Ereal,V3w_2E0))),s(tyop_2Erealax_2Ereal,V0z_2E0))))))),s(tyop_2Erealax_2Ereal,V6a_2E0))) ).

fof(thm_2EHolSmt_2Er181,axiom,
    ! [V0z_2E0,V1y_2E0,V2x_2E0,V3w_2E0,V4v_2E0,V5u_2E0,V6a_2E0] : s(tyop_2Emin_2Ebool,c_2Ereal_2Ereal__lte_2E2(s(tyop_2Erealax_2Ereal,c_2Erealax_2Ereal__add_2E2(s(tyop_2Erealax_2Ereal,c_2Erealax_2Ereal__mul_2E2(s(tyop_2Erealax_2Ereal,c_2Erealax_2Ereal__neg_2E1(s(tyop_2Erealax_2Ereal,V5u_2E0))),s(tyop_2Erealax_2Ereal,V2x_2E0))),s(tyop_2Erealax_2Ereal,c_2Erealax_2Ereal__add_2E2(s(tyop_2Erealax_2Ereal,c_2Erealax_2Ereal__mul_2E2(s(tyop_2Erealax_2Ereal,c_2Erealax_2Ereal__neg_2E1(s(tyop_2Erealax_2Ereal,V4v_2E0))),s(tyop_2Erealax_2Ereal,V1y_2E0))),s(tyop_2Erealax_2Ereal,c_2Erealax_2Ereal__mul_2E2(s(tyop_2Erealax_2Ereal,c_2Erealax_2Ereal__neg_2E1(s(tyop_2Erealax_2Ereal,V3w_2E0))),s(tyop_2Erealax_2Ereal,V0z_2E0))))))),s(tyop_2Erealax_2Ereal,V6a_2E0))) = s(tyop_2Emin_2Ebool,c_2Ereal_2Ereal__ge_2E2(s(tyop_2Erealax_2Ereal,c_2Erealax_2Ereal__add_2E2(s(tyop_2Erealax_2Ereal,c_2Erealax_2Ereal__mul_2E2(s(tyop_2Erealax_2Ereal,V5u_2E0),s(tyop_2Erealax_2Ereal,V2x_2E0))),s(tyop_2Erealax_2Ereal,c_2Erealax_2Ereal__add_2E2(s(tyop_2Erealax_2Ereal,c_2Erealax_2Ereal__mul_2E2(s(tyop_2Erealax_2Ereal,V4v_2E0),s(tyop_2Erealax_2Ereal,V1y_2E0))),s(tyop_2Erealax_2Ereal,c_2Erealax_2Ereal__mul_2E2(s(tyop_2Erealax_2Ereal,V3w_2E0),s(tyop_2Erealax_2Ereal,V0z_2E0))))))),s(tyop_2Erealax_2Ereal,c_2Erealax_2Ereal__neg_2E1(s(tyop_2Erealax_2Ereal,V6a_2E0))))) ).

fof(thm_2EHolSmt_2Er182,axiom,
    ! [V0z_2E0,V1y_2E0,V2x_2E0,V3w_2E0,V4v_2E0,V5u_2E0,V6a_2E0] : s(tyop_2Emin_2Ebool,c_2Ereal_2Ereal__lte_2E2(s(tyop_2Erealax_2Ereal,c_2Erealax_2Ereal__add_2E2(s(tyop_2Erealax_2Ereal,c_2Erealax_2Ereal__mul_2E2(s(tyop_2Erealax_2Ereal,c_2Erealax_2Ereal__neg_2E1(s(tyop_2Erealax_2Ereal,V5u_2E0))),s(tyop_2Erealax_2Ereal,V2x_2E0))),s(tyop_2Erealax_2Ereal,c_2Erealax_2Ereal__add_2E2(s(tyop_2Erealax_2Ereal,c_2Erealax_2Ereal__mul_2E2(s(tyop_2Erealax_2Ereal,c_2Erealax_2Ereal__neg_2E1(s(tyop_2Erealax_2Ereal,V4v_2E0))),s(tyop_2Erealax_2Ereal,V1y_2E0))),s(tyop_2Erealax_2Ereal,c_2Erealax_2Ereal__mul_2E2(s(tyop_2Erealax_2Ereal,c_2Erealax_2Ereal__neg_2E1(s(tyop_2Erealax_2Ereal,V3w_2E0))),s(tyop_2Erealax_2Ereal,V0z_2E0))))))),s(tyop_2Erealax_2Ereal,c_2Erealax_2Ereal__neg_2E1(s(tyop_2Erealax_2Ereal,V6a_2E0))))) = s(tyop_2Emin_2Ebool,c_2Ereal_2Ereal__ge_2E2(s(tyop_2Erealax_2Ereal,c_2Erealax_2Ereal__add_2E2(s(tyop_2Erealax_2Ereal,c_2Erealax_2Ereal__mul_2E2(s(tyop_2Erealax_2Ereal,V5u_2E0),s(tyop_2Erealax_2Ereal,V2x_2E0))),s(tyop_2Erealax_2Ereal,c_2Erealax_2Ereal__add_2E2(s(tyop_2Erealax_2Ereal,c_2Erealax_2Ereal__mul_2E2(s(tyop_2Erealax_2Ereal,V4v_2E0),s(tyop_2Erealax_2Ereal,V1y_2E0))),s(tyop_2Erealax_2Ereal,c_2Erealax_2Ereal__mul_2E2(s(tyop_2Erealax_2Ereal,V3w_2E0),s(tyop_2Erealax_2Ereal,V0z_2E0))))))),s(tyop_2Erealax_2Ereal,V6a_2E0))) ).

fof(thm_2EHolSmt_2Er183,axiom,
    ! [V0z_2E0,V1y_2E0,V2x_2E0,V3w_2E0,V4v_2E0,V5a_2E0] : s(tyop_2Emin_2Ebool,c_2Ereal_2Ereal__lte_2E2(s(tyop_2Erealax_2Ereal,c_2Erealax_2Ereal__add_2E2(s(tyop_2Erealax_2Ereal,c_2Erealax_2Ereal__mul_2E2(s(tyop_2Erealax_2Ereal,c_2Erealax_2Ereal__neg_2E1(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,V2x_2E0))),s(tyop_2Erealax_2Ereal,c_2Erealax_2Ereal__add_2E2(s(tyop_2Erealax_2Ereal,c_2Erealax_2Ereal__mul_2E2(s(tyop_2Erealax_2Ereal,V4v_2E0),s(tyop_2Erealax_2Ereal,V1y_2E0))),s(tyop_2Erealax_2Ereal,c_2Erealax_2Ereal__mul_2E2(s(tyop_2Erealax_2Ereal,V3w_2E0),s(tyop_2Erealax_2Ereal,V0z_2E0))))))),s(tyop_2Erealax_2Ereal,c_2Erealax_2Ereal__neg_2E1(s(tyop_2Erealax_2Ereal,V5a_2E0))))) = s(tyop_2Emin_2Ebool,c_2Ereal_2Ereal__ge_2E2(s(tyop_2Erealax_2Ereal,c_2Erealax_2Ereal__add_2E2(s(tyop_2Erealax_2Ereal,V2x_2E0),s(tyop_2Erealax_2Ereal,c_2Erealax_2Ereal__add_2E2(s(tyop_2Erealax_2Ereal,c_2Erealax_2Ereal__mul_2E2(s(tyop_2Erealax_2Ereal,c_2Erealax_2Ereal__neg_2E1(s(tyop_2Erealax_2Ereal,V4v_2E0))),s(tyop_2Erealax_2Ereal,V1y_2E0))),s(tyop_2Erealax_2Ereal,c_2Erealax_2Ereal__mul_2E2(s(tyop_2Erealax_2Ereal,c_2Erealax_2Ereal__neg_2E1(s(tyop_2Erealax_2Ereal,V3w_2E0))),s(tyop_2Erealax_2Ereal,V0z_2E0))))))),s(tyop_2Erealax_2Ereal,V5a_2E0))) ).

fof(thm_2EHolSmt_2Er184,axiom,
    ! [V0y_2E0,V1x_2E0] :
      ( p(s(tyop_2Emin_2Ebool,c_2Erealax_2Ereal__lt_2E2(s(tyop_2Erealax_2Ereal,V1x_2E0),s(tyop_2Erealax_2Ereal,V0y_2E0))))
    <=> ~ p(s(tyop_2Emin_2Ebool,c_2Ereal_2Ereal__ge_2E2(s(tyop_2Erealax_2Ereal,V1x_2E0),s(tyop_2Erealax_2Ereal,V0y_2E0)))) ) ).

fof(thm_2EHolSmt_2Er185,axiom,
    ! [V0x_2E0,V1u_2E0,V2a_2E0] :
      ( p(s(tyop_2Emin_2Ebool,c_2Erealax_2Ereal__lt_2E2(s(tyop_2Erealax_2Ereal,c_2Erealax_2Ereal__mul_2E2(s(tyop_2Erealax_2Ereal,c_2Erealax_2Ereal__neg_2E1(s(tyop_2Erealax_2Ereal,V1u_2E0))),s(tyop_2Erealax_2Ereal,V0x_2E0))),s(tyop_2Erealax_2Ereal,V2a_2E0))))
    <=> ~ p(s(tyop_2Emin_2Ebool,c_2Ereal_2Ereal__lte_2E2(s(tyop_2Erealax_2Ereal,c_2Erealax_2Ereal__mul_2E2(s(tyop_2Erealax_2Ereal,V1u_2E0),s(tyop_2Erealax_2Ereal,V0x_2E0))),s(tyop_2Erealax_2Ereal,c_2Erealax_2Ereal__neg_2E1(s(tyop_2Erealax_2Ereal,V2a_2E0)))))) ) ).

fof(thm_2EHolSmt_2Er186,axiom,
    ! [V0x_2E0,V1u_2E0,V2a_2E0] :
      ( p(s(tyop_2Emin_2Ebool,c_2Erealax_2Ereal__lt_2E2(s(tyop_2Erealax_2Ereal,c_2Erealax_2Ereal__mul_2E2(s(tyop_2Erealax_2Ereal,c_2Erealax_2Ereal__neg_2E1(s(tyop_2Erealax_2Ereal,V1u_2E0))),s(tyop_2Erealax_2Ereal,V0x_2E0))),s(tyop_2Erealax_2Ereal,c_2Erealax_2Ereal__neg_2E1(s(tyop_2Erealax_2Ereal,V2a_2E0))))))
    <=> ~ p(s(tyop_2Emin_2Ebool,c_2Ereal_2Ereal__lte_2E2(s(tyop_2Erealax_2Ereal,c_2Erealax_2Ereal__mul_2E2(s(tyop_2Erealax_2Ereal,V1u_2E0),s(tyop_2Erealax_2Ereal,V0x_2E0))),s(tyop_2Erealax_2Ereal,V2a_2E0)))) ) ).

fof(thm_2EHolSmt_2Er187,axiom,
    ! [V0y_2E0,V1x_2E0,V2v_2E0,V3u_2E0] :
      ( p(s(tyop_2Emin_2Ebool,c_2Erealax_2Ereal__lt_2E2(s(tyop_2Erealax_2Ereal,c_2Erealax_2Ereal__add_2E2(s(tyop_2Erealax_2Ereal,c_2Erealax_2Ereal__mul_2E2(s(tyop_2Erealax_2Ereal,c_2Erealax_2Ereal__neg_2E1(s(tyop_2Erealax_2Ereal,V3u_2E0))),s(tyop_2Erealax_2Ereal,V1x_2E0))),s(tyop_2Erealax_2Ereal,c_2Erealax_2Ereal__mul_2E2(s(tyop_2Erealax_2Ereal,V2v_2E0),s(tyop_2Erealax_2Ereal,V0y_2E0))))),s(tyop_2Erealax_2Ereal,c_2Ereal_2Ereal__of__num_2E1(s(tyop_2Enum_2Enum,c_2Enum_2E0_2E0))))))
    <=> ~ p(s(tyop_2Emin_2Ebool,c_2Ereal_2Ereal__lte_2E2(s(tyop_2Erealax_2Ereal,c_2Erealax_2Ereal__add_2E2(s(tyop_2Erealax_2Ereal,c_2Erealax_2Ereal__mul_2E2(s(tyop_2Erealax_2Ereal,V3u_2E0),s(tyop_2Erealax_2Ereal,V1x_2E0))),s(tyop_2Erealax_2Ereal,c_2Erealax_2Ereal__mul_2E2(s(tyop_2Erealax_2Ereal,c_2Erealax_2Ereal__neg_2E1(s(tyop_2Erealax_2Ereal,V2v_2E0))),s(tyop_2Erealax_2Ereal,V0y_2E0))))),s(tyop_2Erealax_2Ereal,c_2Ereal_2Ereal__of__num_2E1(s(tyop_2Enum_2Enum,c_2Enum_2E0_2E0)))))) ) ).

fof(thm_2EHolSmt_2Er188,axiom,
    ! [V0y_2E0,V1x_2E0,V2v_2E0,V3u_2E0] :
      ( p(s(tyop_2Emin_2Ebool,c_2Erealax_2Ereal__lt_2E2(s(tyop_2Erealax_2Ereal,c_2Erealax_2Ereal__add_2E2(s(tyop_2Erealax_2Ereal,c_2Erealax_2Ereal__mul_2E2(s(tyop_2Erealax_2Ereal,c_2Erealax_2Ereal__neg_2E1(s(tyop_2Erealax_2Ereal,V3u_2E0))),s(tyop_2Erealax_2Ereal,V1x_2E0))),s(tyop_2Erealax_2Ereal,c_2Erealax_2Ereal__mul_2E2(s(tyop_2Erealax_2Ereal,c_2Erealax_2Ereal__neg_2E1(s(tyop_2Erealax_2Ereal,V2v_2E0))),s(tyop_2Erealax_2Ereal,V0y_2E0))))),s(tyop_2Erealax_2Ereal,c_2Ereal_2Ereal__of__num_2E1(s(tyop_2Enum_2Enum,c_2Enum_2E0_2E0))))))
    <=> ~ p(s(tyop_2Emin_2Ebool,c_2Ereal_2Ereal__lte_2E2(s(tyop_2Erealax_2Ereal,c_2Erealax_2Ereal__add_2E2(s(tyop_2Erealax_2Ereal,c_2Erealax_2Ereal__mul_2E2(s(tyop_2Erealax_2Ereal,V3u_2E0),s(tyop_2Erealax_2Ereal,V1x_2E0))),s(tyop_2Erealax_2Ereal,c_2Erealax_2Ereal__mul_2E2(s(tyop_2Erealax_2Ereal,V2v_2E0),s(tyop_2Erealax_2Ereal,V0y_2E0))))),s(tyop_2Erealax_2Ereal,c_2Ereal_2Ereal__of__num_2E1(s(tyop_2Enum_2Enum,c_2Enum_2E0_2E0)))))) ) ).

fof(thm_2EHolSmt_2Er189,axiom,
    ! [V0y_2E0,V1x_2E0,V2v_2E0,V3u_2E0,V4a_2E0] :
      ( p(s(tyop_2Emin_2Ebool,c_2Erealax_2Ereal__lt_2E2(s(tyop_2Erealax_2Ereal,c_2Erealax_2Ereal__add_2E2(s(tyop_2Erealax_2Ereal,c_2Erealax_2Ereal__mul_2E2(s(tyop_2Erealax_2Ereal,c_2Erealax_2Ereal__neg_2E1(s(tyop_2Erealax_2Ereal,V3u_2E0))),s(tyop_2Erealax_2Ereal,V1x_2E0))),s(tyop_2Erealax_2Ereal,c_2Erealax_2Ereal__mul_2E2(s(tyop_2Erealax_2Ereal,V2v_2E0),s(tyop_2Erealax_2Ereal,V0y_2E0))))),s(tyop_2Erealax_2Ereal,V4a_2E0))))
    <=> ~ p(s(tyop_2Emin_2Ebool,c_2Ereal_2Ereal__lte_2E2(s(tyop_2Erealax_2Ereal,c_2Erealax_2Ereal__add_2E2(s(tyop_2Erealax_2Ereal,c_2Erealax_2Ereal__mul_2E2(s(tyop_2Erealax_2Ereal,V3u_2E0),s(tyop_2Erealax_2Ereal,V1x_2E0))),s(tyop_2Erealax_2Ereal,c_2Erealax_2Ereal__mul_2E2(s(tyop_2Erealax_2Ereal,c_2Erealax_2Ereal__neg_2E1(s(tyop_2Erealax_2Ereal,V2v_2E0))),s(tyop_2Erealax_2Ereal,V0y_2E0))))),s(tyop_2Erealax_2Ereal,c_2Erealax_2Ereal__neg_2E1(s(tyop_2Erealax_2Ereal,V4a_2E0)))))) ) ).

fof(thm_2EHolSmt_2Er190,axiom,
    ! [V0y_2E0,V1x_2E0,V2v_2E0,V3u_2E0,V4a_2E0] :
      ( p(s(tyop_2Emin_2Ebool,c_2Erealax_2Ereal__lt_2E2(s(tyop_2Erealax_2Ereal,c_2Erealax_2Ereal__add_2E2(s(tyop_2Erealax_2Ereal,c_2Erealax_2Ereal__mul_2E2(s(tyop_2Erealax_2Ereal,c_2Erealax_2Ereal__neg_2E1(s(tyop_2Erealax_2Ereal,V3u_2E0))),s(tyop_2Erealax_2Ereal,V1x_2E0))),s(tyop_2Erealax_2Ereal,c_2Erealax_2Ereal__mul_2E2(s(tyop_2Erealax_2Ereal,V2v_2E0),s(tyop_2Erealax_2Ereal,V0y_2E0))))),s(tyop_2Erealax_2Ereal,c_2Erealax_2Ereal__neg_2E1(s(tyop_2Erealax_2Ereal,V4a_2E0))))))
    <=> ~ p(s(tyop_2Emin_2Ebool,c_2Ereal_2Ereal__lte_2E2(s(tyop_2Erealax_2Ereal,c_2Erealax_2Ereal__add_2E2(s(tyop_2Erealax_2Ereal,c_2Erealax_2Ereal__mul_2E2(s(tyop_2Erealax_2Ereal,V3u_2E0),s(tyop_2Erealax_2Ereal,V1x_2E0))),s(tyop_2Erealax_2Ereal,c_2Erealax_2Ereal__mul_2E2(s(tyop_2Erealax_2Ereal,c_2Erealax_2Ereal__neg_2E1(s(tyop_2Erealax_2Ereal,V2v_2E0))),s(tyop_2Erealax_2Ereal,V0y_2E0))))),s(tyop_2Erealax_2Ereal,V4a_2E0)))) ) ).

fof(thm_2EHolSmt_2Er191,axiom,
    ! [V0y_2E0,V1x_2E0,V2v_2E0,V3u_2E0,V4a_2E0] :
      ( p(s(tyop_2Emin_2Ebool,c_2Erealax_2Ereal__lt_2E2(s(tyop_2Erealax_2Ereal,c_2Erealax_2Ereal__add_2E2(s(tyop_2Erealax_2Ereal,c_2Erealax_2Ereal__mul_2E2(s(tyop_2Erealax_2Ereal,c_2Erealax_2Ereal__neg_2E1(s(tyop_2Erealax_2Ereal,V3u_2E0))),s(tyop_2Erealax_2Ereal,V1x_2E0))),s(tyop_2Erealax_2Ereal,c_2Erealax_2Ereal__mul_2E2(s(tyop_2Erealax_2Ereal,c_2Erealax_2Ereal__neg_2E1(s(tyop_2Erealax_2Ereal,V2v_2E0))),s(tyop_2Erealax_2Ereal,V0y_2E0))))),s(tyop_2Erealax_2Ereal,V4a_2E0))))
    <=> ~ p(s(tyop_2Emin_2Ebool,c_2Ereal_2Ereal__lte_2E2(s(tyop_2Erealax_2Ereal,c_2Erealax_2Ereal__add_2E2(s(tyop_2Erealax_2Ereal,c_2Erealax_2Ereal__mul_2E2(s(tyop_2Erealax_2Ereal,V3u_2E0),s(tyop_2Erealax_2Ereal,V1x_2E0))),s(tyop_2Erealax_2Ereal,c_2Erealax_2Ereal__mul_2E2(s(tyop_2Erealax_2Ereal,V2v_2E0),s(tyop_2Erealax_2Ereal,V0y_2E0))))),s(tyop_2Erealax_2Ereal,c_2Erealax_2Ereal__neg_2E1(s(tyop_2Erealax_2Ereal,V4a_2E0)))))) ) ).

fof(thm_2EHolSmt_2Er192,axiom,
    ! [V0y_2E0,V1x_2E0,V2v_2E0,V3u_2E0,V4a_2E0] :
      ( p(s(tyop_2Emin_2Ebool,c_2Erealax_2Ereal__lt_2E2(s(tyop_2Erealax_2Ereal,c_2Erealax_2Ereal__add_2E2(s(tyop_2Erealax_2Ereal,c_2Erealax_2Ereal__mul_2E2(s(tyop_2Erealax_2Ereal,c_2Erealax_2Ereal__neg_2E1(s(tyop_2Erealax_2Ereal,V3u_2E0))),s(tyop_2Erealax_2Ereal,V1x_2E0))),s(tyop_2Erealax_2Ereal,c_2Erealax_2Ereal__mul_2E2(s(tyop_2Erealax_2Ereal,c_2Erealax_2Ereal__neg_2E1(s(tyop_2Erealax_2Ereal,V2v_2E0))),s(tyop_2Erealax_2Ereal,V0y_2E0))))),s(tyop_2Erealax_2Ereal,c_2Erealax_2Ereal__neg_2E1(s(tyop_2Erealax_2Ereal,V4a_2E0))))))
    <=> ~ p(s(tyop_2Emin_2Ebool,c_2Ereal_2Ereal__lte_2E2(s(tyop_2Erealax_2Ereal,c_2Erealax_2Ereal__add_2E2(s(tyop_2Erealax_2Ereal,c_2Erealax_2Ereal__mul_2E2(s(tyop_2Erealax_2Ereal,V3u_2E0),s(tyop_2Erealax_2Ereal,V1x_2E0))),s(tyop_2Erealax_2Ereal,c_2Erealax_2Ereal__mul_2E2(s(tyop_2Erealax_2Ereal,V2v_2E0),s(tyop_2Erealax_2Ereal,V0y_2E0))))),s(tyop_2Erealax_2Ereal,V4a_2E0)))) ) ).

fof(thm_2EHolSmt_2Er193,axiom,
    ! [V0z_2E0,V1y_2E0,V2x_2E0,V3w_2E0,V4v_2E0,V5u_2E0,V6a_2E0] :
      ( p(s(tyop_2Emin_2Ebool,c_2Erealax_2Ereal__lt_2E2(s(tyop_2Erealax_2Ereal,c_2Erealax_2Ereal__add_2E2(s(tyop_2Erealax_2Ereal,c_2Erealax_2Ereal__mul_2E2(s(tyop_2Erealax_2Ereal,c_2Erealax_2Ereal__neg_2E1(s(tyop_2Erealax_2Ereal,V5u_2E0))),s(tyop_2Erealax_2Ereal,V2x_2E0))),s(tyop_2Erealax_2Ereal,c_2Erealax_2Ereal__add_2E2(s(tyop_2Erealax_2Ereal,c_2Erealax_2Ereal__mul_2E2(s(tyop_2Erealax_2Ereal,V4v_2E0),s(tyop_2Erealax_2Ereal,V1y_2E0))),s(tyop_2Erealax_2Ereal,c_2Erealax_2Ereal__mul_2E2(s(tyop_2Erealax_2Ereal,V3w_2E0),s(tyop_2Erealax_2Ereal,V0z_2E0))))))),s(tyop_2Erealax_2Ereal,V6a_2E0))))
    <=> ~ p(s(tyop_2Emin_2Ebool,c_2Ereal_2Ereal__lte_2E2(s(tyop_2Erealax_2Ereal,c_2Erealax_2Ereal__add_2E2(s(tyop_2Erealax_2Ereal,c_2Erealax_2Ereal__mul_2E2(s(tyop_2Erealax_2Ereal,V5u_2E0),s(tyop_2Erealax_2Ereal,V2x_2E0))),s(tyop_2Erealax_2Ereal,c_2Erealax_2Ereal__add_2E2(s(tyop_2Erealax_2Ereal,c_2Erealax_2Ereal__mul_2E2(s(tyop_2Erealax_2Ereal,c_2Erealax_2Ereal__neg_2E1(s(tyop_2Erealax_2Ereal,V4v_2E0))),s(tyop_2Erealax_2Ereal,V1y_2E0))),s(tyop_2Erealax_2Ereal,c_2Erealax_2Ereal__mul_2E2(s(tyop_2Erealax_2Ereal,c_2Erealax_2Ereal__neg_2E1(s(tyop_2Erealax_2Ereal,V3w_2E0))),s(tyop_2Erealax_2Ereal,V0z_2E0))))))),s(tyop_2Erealax_2Ereal,c_2Erealax_2Ereal__neg_2E1(s(tyop_2Erealax_2Ereal,V6a_2E0)))))) ) ).

fof(thm_2EHolSmt_2Er194,axiom,
    ! [V0z_2E0,V1y_2E0,V2x_2E0,V3w_2E0,V4v_2E0,V5u_2E0,V6a_2E0] :
      ( p(s(tyop_2Emin_2Ebool,c_2Erealax_2Ereal__lt_2E2(s(tyop_2Erealax_2Ereal,c_2Erealax_2Ereal__add_2E2(s(tyop_2Erealax_2Ereal,c_2Erealax_2Ereal__mul_2E2(s(tyop_2Erealax_2Ereal,c_2Erealax_2Ereal__neg_2E1(s(tyop_2Erealax_2Ereal,V5u_2E0))),s(tyop_2Erealax_2Ereal,V2x_2E0))),s(tyop_2Erealax_2Ereal,c_2Erealax_2Ereal__add_2E2(s(tyop_2Erealax_2Ereal,c_2Erealax_2Ereal__mul_2E2(s(tyop_2Erealax_2Ereal,V4v_2E0),s(tyop_2Erealax_2Ereal,V1y_2E0))),s(tyop_2Erealax_2Ereal,c_2Erealax_2Ereal__mul_2E2(s(tyop_2Erealax_2Ereal,V3w_2E0),s(tyop_2Erealax_2Ereal,V0z_2E0))))))),s(tyop_2Erealax_2Ereal,c_2Erealax_2Ereal__neg_2E1(s(tyop_2Erealax_2Ereal,V6a_2E0))))))
    <=> ~ p(s(tyop_2Emin_2Ebool,c_2Ereal_2Ereal__lte_2E2(s(tyop_2Erealax_2Ereal,c_2Erealax_2Ereal__add_2E2(s(tyop_2Erealax_2Ereal,c_2Erealax_2Ereal__mul_2E2(s(tyop_2Erealax_2Ereal,V5u_2E0),s(tyop_2Erealax_2Ereal,V2x_2E0))),s(tyop_2Erealax_2Ereal,c_2Erealax_2Ereal__add_2E2(s(tyop_2Erealax_2Ereal,c_2Erealax_2Ereal__mul_2E2(s(tyop_2Erealax_2Ereal,c_2Erealax_2Ereal__neg_2E1(s(tyop_2Erealax_2Ereal,V4v_2E0))),s(tyop_2Erealax_2Ereal,V1y_2E0))),s(tyop_2Erealax_2Ereal,c_2Erealax_2Ereal__mul_2E2(s(tyop_2Erealax_2Ereal,c_2Erealax_2Ereal__neg_2E1(s(tyop_2Erealax_2Ereal,V3w_2E0))),s(tyop_2Erealax_2Ereal,V0z_2E0))))))),s(tyop_2Erealax_2Ereal,V6a_2E0)))) ) ).

fof(thm_2EHolSmt_2Er195,axiom,
    ! [V0z_2E0,V1y_2E0,V2x_2E0,V3w_2E0,V4v_2E0,V5u_2E0,V6a_2E0] :
      ( p(s(tyop_2Emin_2Ebool,c_2Erealax_2Ereal__lt_2E2(s(tyop_2Erealax_2Ereal,c_2Erealax_2Ereal__add_2E2(s(tyop_2Erealax_2Ereal,c_2Erealax_2Ereal__mul_2E2(s(tyop_2Erealax_2Ereal,c_2Erealax_2Ereal__neg_2E1(s(tyop_2Erealax_2Ereal,V5u_2E0))),s(tyop_2Erealax_2Ereal,V2x_2E0))),s(tyop_2Erealax_2Ereal,c_2Erealax_2Ereal__add_2E2(s(tyop_2Erealax_2Ereal,c_2Erealax_2Ereal__mul_2E2(s(tyop_2Erealax_2Ereal,V4v_2E0),s(tyop_2Erealax_2Ereal,V1y_2E0))),s(tyop_2Erealax_2Ereal,c_2Erealax_2Ereal__mul_2E2(s(tyop_2Erealax_2Ereal,c_2Erealax_2Ereal__neg_2E1(s(tyop_2Erealax_2Ereal,V3w_2E0))),s(tyop_2Erealax_2Ereal,V0z_2E0))))))),s(tyop_2Erealax_2Ereal,V6a_2E0))))
    <=> ~ p(s(tyop_2Emin_2Ebool,c_2Ereal_2Ereal__lte_2E2(s(tyop_2Erealax_2Ereal,c_2Erealax_2Ereal__add_2E2(s(tyop_2Erealax_2Ereal,c_2Erealax_2Ereal__mul_2E2(s(tyop_2Erealax_2Ereal,V5u_2E0),s(tyop_2Erealax_2Ereal,V2x_2E0))),s(tyop_2Erealax_2Ereal,c_2Erealax_2Ereal__add_2E2(s(tyop_2Erealax_2Ereal,c_2Erealax_2Ereal__mul_2E2(s(tyop_2Erealax_2Ereal,c_2Erealax_2Ereal__neg_2E1(s(tyop_2Erealax_2Ereal,V4v_2E0))),s(tyop_2Erealax_2Ereal,V1y_2E0))),s(tyop_2Erealax_2Ereal,c_2Erealax_2Ereal__mul_2E2(s(tyop_2Erealax_2Ereal,V3w_2E0),s(tyop_2Erealax_2Ereal,V0z_2E0))))))),s(tyop_2Erealax_2Ereal,c_2Erealax_2Ereal__neg_2E1(s(tyop_2Erealax_2Ereal,V6a_2E0)))))) ) ).

fof(thm_2EHolSmt_2Er196,axiom,
    ! [V0z_2E0,V1y_2E0,V2x_2E0,V3w_2E0,V4v_2E0,V5u_2E0,V6a_2E0] :
      ( p(s(tyop_2Emin_2Ebool,c_2Erealax_2Ereal__lt_2E2(s(tyop_2Erealax_2Ereal,c_2Erealax_2Ereal__add_2E2(s(tyop_2Erealax_2Ereal,c_2Erealax_2Ereal__mul_2E2(s(tyop_2Erealax_2Ereal,c_2Erealax_2Ereal__neg_2E1(s(tyop_2Erealax_2Ereal,V5u_2E0))),s(tyop_2Erealax_2Ereal,V2x_2E0))),s(tyop_2Erealax_2Ereal,c_2Erealax_2Ereal__add_2E2(s(tyop_2Erealax_2Ereal,c_2Erealax_2Ereal__mul_2E2(s(tyop_2Erealax_2Ereal,V4v_2E0),s(tyop_2Erealax_2Ereal,V1y_2E0))),s(tyop_2Erealax_2Ereal,c_2Erealax_2Ereal__mul_2E2(s(tyop_2Erealax_2Ereal,c_2Erealax_2Ereal__neg_2E1(s(tyop_2Erealax_2Ereal,V3w_2E0))),s(tyop_2Erealax_2Ereal,V0z_2E0))))))),s(tyop_2Erealax_2Ereal,c_2Erealax_2Ereal__neg_2E1(s(tyop_2Erealax_2Ereal,V6a_2E0))))))
    <=> ~ p(s(tyop_2Emin_2Ebool,c_2Ereal_2Ereal__lte_2E2(s(tyop_2Erealax_2Ereal,c_2Erealax_2Ereal__add_2E2(s(tyop_2Erealax_2Ereal,c_2Erealax_2Ereal__mul_2E2(s(tyop_2Erealax_2Ereal,V5u_2E0),s(tyop_2Erealax_2Ereal,V2x_2E0))),s(tyop_2Erealax_2Ereal,c_2Erealax_2Ereal__add_2E2(s(tyop_2Erealax_2Ereal,c_2Erealax_2Ereal__mul_2E2(s(tyop_2Erealax_2Ereal,c_2Erealax_2Ereal__neg_2E1(s(tyop_2Erealax_2Ereal,V4v_2E0))),s(tyop_2Erealax_2Ereal,V1y_2E0))),s(tyop_2Erealax_2Ereal,c_2Erealax_2Ereal__mul_2E2(s(tyop_2Erealax_2Ereal,V3w_2E0),s(tyop_2Erealax_2Ereal,V0z_2E0))))))),s(tyop_2Erealax_2Ereal,V6a_2E0)))) ) ).

fof(thm_2EHolSmt_2Er197,axiom,
    ! [V0z_2E0,V1y_2E0,V2x_2E0,V3w_2E0,V4v_2E0,V5u_2E0,V6a_2E0] :
      ( p(s(tyop_2Emin_2Ebool,c_2Erealax_2Ereal__lt_2E2(s(tyop_2Erealax_2Ereal,c_2Erealax_2Ereal__add_2E2(s(tyop_2Erealax_2Ereal,c_2Erealax_2Ereal__mul_2E2(s(tyop_2Erealax_2Ereal,c_2Erealax_2Ereal__neg_2E1(s(tyop_2Erealax_2Ereal,V5u_2E0))),s(tyop_2Erealax_2Ereal,V2x_2E0))),s(tyop_2Erealax_2Ereal,c_2Erealax_2Ereal__add_2E2(s(tyop_2Erealax_2Ereal,c_2Erealax_2Ereal__mul_2E2(s(tyop_2Erealax_2Ereal,c_2Erealax_2Ereal__neg_2E1(s(tyop_2Erealax_2Ereal,V4v_2E0))),s(tyop_2Erealax_2Ereal,V1y_2E0))),s(tyop_2Erealax_2Ereal,c_2Erealax_2Ereal__mul_2E2(s(tyop_2Erealax_2Ereal,V3w_2E0),s(tyop_2Erealax_2Ereal,V0z_2E0))))))),s(tyop_2Erealax_2Ereal,V6a_2E0))))
    <=> ~ p(s(tyop_2Emin_2Ebool,c_2Ereal_2Ereal__lte_2E2(s(tyop_2Erealax_2Ereal,c_2Erealax_2Ereal__add_2E2(s(tyop_2Erealax_2Ereal,c_2Erealax_2Ereal__mul_2E2(s(tyop_2Erealax_2Ereal,V5u_2E0),s(tyop_2Erealax_2Ereal,V2x_2E0))),s(tyop_2Erealax_2Ereal,c_2Erealax_2Ereal__add_2E2(s(tyop_2Erealax_2Ereal,c_2Erealax_2Ereal__mul_2E2(s(tyop_2Erealax_2Ereal,V4v_2E0),s(tyop_2Erealax_2Ereal,V1y_2E0))),s(tyop_2Erealax_2Ereal,c_2Erealax_2Ereal__mul_2E2(s(tyop_2Erealax_2Ereal,c_2Erealax_2Ereal__neg_2E1(s(tyop_2Erealax_2Ereal,V3w_2E0))),s(tyop_2Erealax_2Ereal,V0z_2E0))))))),s(tyop_2Erealax_2Ereal,c_2Erealax_2Ereal__neg_2E1(s(tyop_2Erealax_2Ereal,V6a_2E0)))))) ) ).

fof(thm_2EHolSmt_2Er198,axiom,
    ! [V0z_2E0,V1y_2E0,V2x_2E0,V3w_2E0,V4v_2E0,V5u_2E0,V6a_2E0] :
      ( p(s(tyop_2Emin_2Ebool,c_2Erealax_2Ereal__lt_2E2(s(tyop_2Erealax_2Ereal,c_2Erealax_2Ereal__add_2E2(s(tyop_2Erealax_2Ereal,c_2Erealax_2Ereal__mul_2E2(s(tyop_2Erealax_2Ereal,c_2Erealax_2Ereal__neg_2E1(s(tyop_2Erealax_2Ereal,V5u_2E0))),s(tyop_2Erealax_2Ereal,V2x_2E0))),s(tyop_2Erealax_2Ereal,c_2Erealax_2Ereal__add_2E2(s(tyop_2Erealax_2Ereal,c_2Erealax_2Ereal__mul_2E2(s(tyop_2Erealax_2Ereal,c_2Erealax_2Ereal__neg_2E1(s(tyop_2Erealax_2Ereal,V4v_2E0))),s(tyop_2Erealax_2Ereal,V1y_2E0))),s(tyop_2Erealax_2Ereal,c_2Erealax_2Ereal__mul_2E2(s(tyop_2Erealax_2Ereal,V3w_2E0),s(tyop_2Erealax_2Ereal,V0z_2E0))))))),s(tyop_2Erealax_2Ereal,c_2Erealax_2Ereal__neg_2E1(s(tyop_2Erealax_2Ereal,V6a_2E0))))))
    <=> ~ p(s(tyop_2Emin_2Ebool,c_2Ereal_2Ereal__lte_2E2(s(tyop_2Erealax_2Ereal,c_2Erealax_2Ereal__add_2E2(s(tyop_2Erealax_2Ereal,c_2Erealax_2Ereal__mul_2E2(s(tyop_2Erealax_2Ereal,V5u_2E0),s(tyop_2Erealax_2Ereal,V2x_2E0))),s(tyop_2Erealax_2Ereal,c_2Erealax_2Ereal__add_2E2(s(tyop_2Erealax_2Ereal,c_2Erealax_2Ereal__mul_2E2(s(tyop_2Erealax_2Ereal,V4v_2E0),s(tyop_2Erealax_2Ereal,V1y_2E0))),s(tyop_2Erealax_2Ereal,c_2Erealax_2Ereal__mul_2E2(s(tyop_2Erealax_2Ereal,c_2Erealax_2Ereal__neg_2E1(s(tyop_2Erealax_2Ereal,V3w_2E0))),s(tyop_2Erealax_2Ereal,V0z_2E0))))))),s(tyop_2Erealax_2Ereal,V6a_2E0)))) ) ).

fof(thm_2EHolSmt_2Er199,axiom,
    ! [V0z_2E0,V1y_2E0,V2x_2E0,V3w_2E0,V4v_2E0,V5u_2E0,V6a_2E0] :
      ( p(s(tyop_2Emin_2Ebool,c_2Erealax_2Ereal__lt_2E2(s(tyop_2Erealax_2Ereal,c_2Erealax_2Ereal__add_2E2(s(tyop_2Erealax_2Ereal,c_2Erealax_2Ereal__mul_2E2(s(tyop_2Erealax_2Ereal,c_2Erealax_2Ereal__neg_2E1(s(tyop_2Erealax_2Ereal,V5u_2E0))),s(tyop_2Erealax_2Ereal,V2x_2E0))),s(tyop_2Erealax_2Ereal,c_2Erealax_2Ereal__add_2E2(s(tyop_2Erealax_2Ereal,c_2Erealax_2Ereal__mul_2E2(s(tyop_2Erealax_2Ereal,c_2Erealax_2Ereal__neg_2E1(s(tyop_2Erealax_2Ereal,V4v_2E0))),s(tyop_2Erealax_2Ereal,V1y_2E0))),s(tyop_2Erealax_2Ereal,c_2Erealax_2Ereal__mul_2E2(s(tyop_2Erealax_2Ereal,c_2Erealax_2Ereal__neg_2E1(s(tyop_2Erealax_2Ereal,V3w_2E0))),s(tyop_2Erealax_2Ereal,V0z_2E0))))))),s(tyop_2Erealax_2Ereal,V6a_2E0))))
    <=> ~ p(s(tyop_2Emin_2Ebool,c_2Ereal_2Ereal__lte_2E2(s(tyop_2Erealax_2Ereal,c_2Erealax_2Ereal__add_2E2(s(tyop_2Erealax_2Ereal,c_2Erealax_2Ereal__mul_2E2(s(tyop_2Erealax_2Ereal,V5u_2E0),s(tyop_2Erealax_2Ereal,V2x_2E0))),s(tyop_2Erealax_2Ereal,c_2Erealax_2Ereal__add_2E2(s(tyop_2Erealax_2Ereal,c_2Erealax_2Ereal__mul_2E2(s(tyop_2Erealax_2Ereal,V4v_2E0),s(tyop_2Erealax_2Ereal,V1y_2E0))),s(tyop_2Erealax_2Ereal,c_2Erealax_2Ereal__mul_2E2(s(tyop_2Erealax_2Ereal,V3w_2E0),s(tyop_2Erealax_2Ereal,V0z_2E0))))))),s(tyop_2Erealax_2Ereal,c_2Erealax_2Ereal__neg_2E1(s(tyop_2Erealax_2Ereal,V6a_2E0)))))) ) ).

fof(thm_2EHolSmt_2Er200,axiom,
    ! [V0z_2E0,V1y_2E0,V2x_2E0,V3w_2E0,V4v_2E0,V5u_2E0,V6a_2E0] :
      ( p(s(tyop_2Emin_2Ebool,c_2Erealax_2Ereal__lt_2E2(s(tyop_2Erealax_2Ereal,c_2Erealax_2Ereal__add_2E2(s(tyop_2Erealax_2Ereal,c_2Erealax_2Ereal__mul_2E2(s(tyop_2Erealax_2Ereal,c_2Erealax_2Ereal__neg_2E1(s(tyop_2Erealax_2Ereal,V5u_2E0))),s(tyop_2Erealax_2Ereal,V2x_2E0))),s(tyop_2Erealax_2Ereal,c_2Erealax_2Ereal__add_2E2(s(tyop_2Erealax_2Ereal,c_2Erealax_2Ereal__mul_2E2(s(tyop_2Erealax_2Ereal,c_2Erealax_2Ereal__neg_2E1(s(tyop_2Erealax_2Ereal,V4v_2E0))),s(tyop_2Erealax_2Ereal,V1y_2E0))),s(tyop_2Erealax_2Ereal,c_2Erealax_2Ereal__mul_2E2(s(tyop_2Erealax_2Ereal,c_2Erealax_2Ereal__neg_2E1(s(tyop_2Erealax_2Ereal,V3w_2E0))),s(tyop_2Erealax_2Ereal,V0z_2E0))))))),s(tyop_2Erealax_2Ereal,c_2Erealax_2Ereal__neg_2E1(s(tyop_2Erealax_2Ereal,V6a_2E0))))))
    <=> ~ p(s(tyop_2Emin_2Ebool,c_2Ereal_2Ereal__lte_2E2(s(tyop_2Erealax_2Ereal,c_2Erealax_2Ereal__add_2E2(s(tyop_2Erealax_2Ereal,c_2Erealax_2Ereal__mul_2E2(s(tyop_2Erealax_2Ereal,V5u_2E0),s(tyop_2Erealax_2Ereal,V2x_2E0))),s(tyop_2Erealax_2Ereal,c_2Erealax_2Ereal__add_2E2(s(tyop_2Erealax_2Ereal,c_2Erealax_2Ereal__mul_2E2(s(tyop_2Erealax_2Ereal,V4v_2E0),s(tyop_2Erealax_2Ereal,V1y_2E0))),s(tyop_2Erealax_2Ereal,c_2Erealax_2Ereal__mul_2E2(s(tyop_2Erealax_2Ereal,V3w_2E0),s(tyop_2Erealax_2Ereal,V0z_2E0))))))),s(tyop_2Erealax_2Ereal,V6a_2E0)))) ) ).

fof(thm_2EHolSmt_2Er201,axiom,
    ! [V0z_2E0,V1y_2E0,V2x_2E0,V3w_2E0,V4v_2E0,V5u_2E0] :
      ( p(s(tyop_2Emin_2Ebool,c_2Erealax_2Ereal__lt_2E2(s(tyop_2Erealax_2Ereal,c_2Erealax_2Ereal__add_2E2(s(tyop_2Erealax_2Ereal,c_2Erealax_2Ereal__mul_2E2(s(tyop_2Erealax_2Ereal,c_2Erealax_2Ereal__neg_2E1(s(tyop_2Erealax_2Ereal,V5u_2E0))),s(tyop_2Erealax_2Ereal,V2x_2E0))),s(tyop_2Erealax_2Ereal,c_2Erealax_2Ereal__add_2E2(s(tyop_2Erealax_2Ereal,c_2Erealax_2Ereal__mul_2E2(s(tyop_2Erealax_2Ereal,c_2Erealax_2Ereal__neg_2E1(s(tyop_2Erealax_2Ereal,V4v_2E0))),s(tyop_2Erealax_2Ereal,V1y_2E0))),s(tyop_2Erealax_2Ereal,c_2Erealax_2Ereal__mul_2E2(s(tyop_2Erealax_2Ereal,V3w_2E0),s(tyop_2Erealax_2Ereal,V0z_2E0))))))),s(tyop_2Erealax_2Ereal,c_2Ereal_2Ereal__of__num_2E1(s(tyop_2Enum_2Enum,c_2Enum_2E0_2E0))))))
    <=> ~ p(s(tyop_2Emin_2Ebool,c_2Ereal_2Ereal__lte_2E2(s(tyop_2Erealax_2Ereal,c_2Erealax_2Ereal__add_2E2(s(tyop_2Erealax_2Ereal,c_2Erealax_2Ereal__mul_2E2(s(tyop_2Erealax_2Ereal,V5u_2E0),s(tyop_2Erealax_2Ereal,V2x_2E0))),s(tyop_2Erealax_2Ereal,c_2Erealax_2Ereal__add_2E2(s(tyop_2Erealax_2Ereal,c_2Erealax_2Ereal__mul_2E2(s(tyop_2Erealax_2Ereal,V4v_2E0),s(tyop_2Erealax_2Ereal,V1y_2E0))),s(tyop_2Erealax_2Ereal,c_2Erealax_2Ereal__mul_2E2(s(tyop_2Erealax_2Ereal,c_2Erealax_2Ereal__neg_2E1(s(tyop_2Erealax_2Ereal,V3w_2E0))),s(tyop_2Erealax_2Ereal,V0z_2E0))))))),s(tyop_2Erealax_2Ereal,c_2Ereal_2Ereal__of__num_2E1(s(tyop_2Enum_2Enum,c_2Enum_2E0_2E0)))))) ) ).

fof(thm_2EHolSmt_2Er202,axiom,
    ! [V0z_2E0,V1y_2E0,V2x_2E0,V3w_2E0,V4v_2E0,V5u_2E0] :
      ( p(s(tyop_2Emin_2Ebool,c_2Erealax_2Ereal__lt_2E2(s(tyop_2Erealax_2Ereal,c_2Erealax_2Ereal__add_2E2(s(tyop_2Erealax_2Ereal,c_2Erealax_2Ereal__mul_2E2(s(tyop_2Erealax_2Ereal,c_2Erealax_2Ereal__neg_2E1(s(tyop_2Erealax_2Ereal,V5u_2E0))),s(tyop_2Erealax_2Ereal,V2x_2E0))),s(tyop_2Erealax_2Ereal,c_2Erealax_2Ereal__add_2E2(s(tyop_2Erealax_2Ereal,c_2Erealax_2Ereal__mul_2E2(s(tyop_2Erealax_2Ereal,c_2Erealax_2Ereal__neg_2E1(s(tyop_2Erealax_2Ereal,V4v_2E0))),s(tyop_2Erealax_2Ereal,V1y_2E0))),s(tyop_2Erealax_2Ereal,c_2Erealax_2Ereal__mul_2E2(s(tyop_2Erealax_2Ereal,c_2Erealax_2Ereal__neg_2E1(s(tyop_2Erealax_2Ereal,V3w_2E0))),s(tyop_2Erealax_2Ereal,V0z_2E0))))))),s(tyop_2Erealax_2Ereal,c_2Ereal_2Ereal__of__num_2E1(s(tyop_2Enum_2Enum,c_2Enum_2E0_2E0))))))
    <=> ~ p(s(tyop_2Emin_2Ebool,c_2Ereal_2Ereal__lte_2E2(s(tyop_2Erealax_2Ereal,c_2Erealax_2Ereal__add_2E2(s(tyop_2Erealax_2Ereal,c_2Erealax_2Ereal__mul_2E2(s(tyop_2Erealax_2Ereal,V5u_2E0),s(tyop_2Erealax_2Ereal,V2x_2E0))),s(tyop_2Erealax_2Ereal,c_2Erealax_2Ereal__add_2E2(s(tyop_2Erealax_2Ereal,c_2Erealax_2Ereal__mul_2E2(s(tyop_2Erealax_2Ereal,V4v_2E0),s(tyop_2Erealax_2Ereal,V1y_2E0))),s(tyop_2Erealax_2Ereal,c_2Erealax_2Ereal__mul_2E2(s(tyop_2Erealax_2Ereal,V3w_2E0),s(tyop_2Erealax_2Ereal,V0z_2E0))))))),s(tyop_2Erealax_2Ereal,c_2Ereal_2Ereal__of__num_2E1(s(tyop_2Enum_2Enum,c_2Enum_2E0_2E0)))))) ) ).

fof(thm_2EHolSmt_2Er203,axiom,
    ! [V0z_2E0,V1y_2E0,V2x_2E0,V3w_2E0,V4v_2E0,V5a_2E0] :
      ( p(s(tyop_2Emin_2Ebool,c_2Erealax_2Ereal__lt_2E2(s(tyop_2Erealax_2Ereal,c_2Erealax_2Ereal__add_2E2(s(tyop_2Erealax_2Ereal,c_2Erealax_2Ereal__mul_2E2(s(tyop_2Erealax_2Ereal,c_2Erealax_2Ereal__neg_2E1(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,V2x_2E0))),s(tyop_2Erealax_2Ereal,c_2Erealax_2Ereal__add_2E2(s(tyop_2Erealax_2Ereal,c_2Erealax_2Ereal__mul_2E2(s(tyop_2Erealax_2Ereal,V4v_2E0),s(tyop_2Erealax_2Ereal,V1y_2E0))),s(tyop_2Erealax_2Ereal,c_2Erealax_2Ereal__mul_2E2(s(tyop_2Erealax_2Ereal,V3w_2E0),s(tyop_2Erealax_2Ereal,V0z_2E0))))))),s(tyop_2Erealax_2Ereal,V5a_2E0))))
    <=> ~ p(s(tyop_2Emin_2Ebool,c_2Ereal_2Ereal__lte_2E2(s(tyop_2Erealax_2Ereal,c_2Erealax_2Ereal__add_2E2(s(tyop_2Erealax_2Ereal,V2x_2E0),s(tyop_2Erealax_2Ereal,c_2Erealax_2Ereal__add_2E2(s(tyop_2Erealax_2Ereal,c_2Erealax_2Ereal__mul_2E2(s(tyop_2Erealax_2Ereal,c_2Erealax_2Ereal__neg_2E1(s(tyop_2Erealax_2Ereal,V4v_2E0))),s(tyop_2Erealax_2Ereal,V1y_2E0))),s(tyop_2Erealax_2Ereal,c_2Erealax_2Ereal__mul_2E2(s(tyop_2Erealax_2Ereal,c_2Erealax_2Ereal__neg_2E1(s(tyop_2Erealax_2Ereal,V3w_2E0))),s(tyop_2Erealax_2Ereal,V0z_2E0))))))),s(tyop_2Erealax_2Ereal,c_2Erealax_2Ereal__neg_2E1(s(tyop_2Erealax_2Ereal,V5a_2E0)))))) ) ).

fof(thm_2EHolSmt_2Er204,axiom,
    ! [V0z_2E0,V1y_2E0,V2x_2E0,V3w_2E0,V4v_2E0,V5a_2E0] :
      ( p(s(tyop_2Emin_2Ebool,c_2Erealax_2Ereal__lt_2E2(s(tyop_2Erealax_2Ereal,c_2Erealax_2Ereal__add_2E2(s(tyop_2Erealax_2Ereal,c_2Erealax_2Ereal__mul_2E2(s(tyop_2Erealax_2Ereal,c_2Erealax_2Ereal__neg_2E1(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,V2x_2E0))),s(tyop_2Erealax_2Ereal,c_2Erealax_2Ereal__add_2E2(s(tyop_2Erealax_2Ereal,c_2Erealax_2Ereal__mul_2E2(s(tyop_2Erealax_2Ereal,V4v_2E0),s(tyop_2Erealax_2Ereal,V1y_2E0))),s(tyop_2Erealax_2Ereal,c_2Erealax_2Ereal__mul_2E2(s(tyop_2Erealax_2Ereal,V3w_2E0),s(tyop_2Erealax_2Ereal,V0z_2E0))))))),s(tyop_2Erealax_2Ereal,c_2Erealax_2Ereal__neg_2E1(s(tyop_2Erealax_2Ereal,V5a_2E0))))))
    <=> ~ p(s(tyop_2Emin_2Ebool,c_2Ereal_2Ereal__lte_2E2(s(tyop_2Erealax_2Ereal,c_2Erealax_2Ereal__add_2E2(s(tyop_2Erealax_2Ereal,V2x_2E0),s(tyop_2Erealax_2Ereal,c_2Erealax_2Ereal__add_2E2(s(tyop_2Erealax_2Ereal,c_2Erealax_2Ereal__mul_2E2(s(tyop_2Erealax_2Ereal,c_2Erealax_2Ereal__neg_2E1(s(tyop_2Erealax_2Ereal,V4v_2E0))),s(tyop_2Erealax_2Ereal,V1y_2E0))),s(tyop_2Erealax_2Ereal,c_2Erealax_2Ereal__mul_2E2(s(tyop_2Erealax_2Ereal,c_2Erealax_2Ereal__neg_2E1(s(tyop_2Erealax_2Ereal,V3w_2E0))),s(tyop_2Erealax_2Ereal,V0z_2E0))))))),s(tyop_2Erealax_2Ereal,V5a_2E0)))) ) ).

fof(thm_2EHolSmt_2Er205,axiom,
    ! [V0z_2E0,V1y_2E0,V2x_2E0,V3w_2E0,V4v_2E0,V5a_2E0] :
      ( p(s(tyop_2Emin_2Ebool,c_2Erealax_2Ereal__lt_2E2(s(tyop_2Erealax_2Ereal,c_2Erealax_2Ereal__add_2E2(s(tyop_2Erealax_2Ereal,c_2Erealax_2Ereal__mul_2E2(s(tyop_2Erealax_2Ereal,c_2Erealax_2Ereal__neg_2E1(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,V2x_2E0))),s(tyop_2Erealax_2Ereal,c_2Erealax_2Ereal__add_2E2(s(tyop_2Erealax_2Ereal,c_2Erealax_2Ereal__mul_2E2(s(tyop_2Erealax_2Ereal,V4v_2E0),s(tyop_2Erealax_2Ereal,V1y_2E0))),s(tyop_2Erealax_2Ereal,c_2Erealax_2Ereal__mul_2E2(s(tyop_2Erealax_2Ereal,c_2Erealax_2Ereal__neg_2E1(s(tyop_2Erealax_2Ereal,V3w_2E0))),s(tyop_2Erealax_2Ereal,V0z_2E0))))))),s(tyop_2Erealax_2Ereal,V5a_2E0))))
    <=> ~ p(s(tyop_2Emin_2Ebool,c_2Ereal_2Ereal__lte_2E2(s(tyop_2Erealax_2Ereal,c_2Erealax_2Ereal__add_2E2(s(tyop_2Erealax_2Ereal,V2x_2E0),s(tyop_2Erealax_2Ereal,c_2Erealax_2Ereal__add_2E2(s(tyop_2Erealax_2Ereal,c_2Erealax_2Ereal__mul_2E2(s(tyop_2Erealax_2Ereal,c_2Erealax_2Ereal__neg_2E1(s(tyop_2Erealax_2Ereal,V4v_2E0))),s(tyop_2Erealax_2Ereal,V1y_2E0))),s(tyop_2Erealax_2Ereal,c_2Erealax_2Ereal__mul_2E2(s(tyop_2Erealax_2Ereal,V3w_2E0),s(tyop_2Erealax_2Ereal,V0z_2E0))))))),s(tyop_2Erealax_2Ereal,c_2Erealax_2Ereal__neg_2E1(s(tyop_2Erealax_2Ereal,V5a_2E0)))))) ) ).

fof(thm_2EHolSmt_2Er206,axiom,
    ! [V0z_2E0,V1y_2E0,V2x_2E0,V3w_2E0,V4v_2E0,V5a_2E0] :
      ( p(s(tyop_2Emin_2Ebool,c_2Erealax_2Ereal__lt_2E2(s(tyop_2Erealax_2Ereal,c_2Erealax_2Ereal__add_2E2(s(tyop_2Erealax_2Ereal,c_2Erealax_2Ereal__mul_2E2(s(tyop_2Erealax_2Ereal,c_2Erealax_2Ereal__neg_2E1(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,V2x_2E0))),s(tyop_2Erealax_2Ereal,c_2Erealax_2Ereal__add_2E2(s(tyop_2Erealax_2Ereal,c_2Erealax_2Ereal__mul_2E2(s(tyop_2Erealax_2Ereal,V4v_2E0),s(tyop_2Erealax_2Ereal,V1y_2E0))),s(tyop_2Erealax_2Ereal,c_2Erealax_2Ereal__mul_2E2(s(tyop_2Erealax_2Ereal,c_2Erealax_2Ereal__neg_2E1(s(tyop_2Erealax_2Ereal,V3w_2E0))),s(tyop_2Erealax_2Ereal,V0z_2E0))))))),s(tyop_2Erealax_2Ereal,c_2Erealax_2Ereal__neg_2E1(s(tyop_2Erealax_2Ereal,V5a_2E0))))))
    <=> ~ p(s(tyop_2Emin_2Ebool,c_2Ereal_2Ereal__lte_2E2(s(tyop_2Erealax_2Ereal,c_2Erealax_2Ereal__add_2E2(s(tyop_2Erealax_2Ereal,V2x_2E0),s(tyop_2Erealax_2Ereal,c_2Erealax_2Ereal__add_2E2(s(tyop_2Erealax_2Ereal,c_2Erealax_2Ereal__mul_2E2(s(tyop_2Erealax_2Ereal,c_2Erealax_2Ereal__neg_2E1(s(tyop_2Erealax_2Ereal,V4v_2E0))),s(tyop_2Erealax_2Ereal,V1y_2E0))),s(tyop_2Erealax_2Ereal,c_2Erealax_2Ereal__mul_2E2(s(tyop_2Erealax_2Ereal,V3w_2E0),s(tyop_2Erealax_2Ereal,V0z_2E0))))))),s(tyop_2Erealax_2Ereal,V5a_2E0)))) ) ).

fof(thm_2EHolSmt_2Er207,axiom,
    ! [V0z_2E0,V1y_2E0,V2x_2E0,V3w_2E0,V4v_2E0,V5a_2E0] :
      ( p(s(tyop_2Emin_2Ebool,c_2Erealax_2Ereal__lt_2E2(s(tyop_2Erealax_2Ereal,c_2Erealax_2Ereal__add_2E2(s(tyop_2Erealax_2Ereal,c_2Erealax_2Ereal__mul_2E2(s(tyop_2Erealax_2Ereal,c_2Erealax_2Ereal__neg_2E1(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,V2x_2E0))),s(tyop_2Erealax_2Ereal,c_2Erealax_2Ereal__add_2E2(s(tyop_2Erealax_2Ereal,c_2Erealax_2Ereal__mul_2E2(s(tyop_2Erealax_2Ereal,c_2Erealax_2Ereal__neg_2E1(s(tyop_2Erealax_2Ereal,V4v_2E0))),s(tyop_2Erealax_2Ereal,V1y_2E0))),s(tyop_2Erealax_2Ereal,c_2Erealax_2Ereal__mul_2E2(s(tyop_2Erealax_2Ereal,V3w_2E0),s(tyop_2Erealax_2Ereal,V0z_2E0))))))),s(tyop_2Erealax_2Ereal,V5a_2E0))))
    <=> ~ p(s(tyop_2Emin_2Ebool,c_2Ereal_2Ereal__lte_2E2(s(tyop_2Erealax_2Ereal,c_2Erealax_2Ereal__add_2E2(s(tyop_2Erealax_2Ereal,V2x_2E0),s(tyop_2Erealax_2Ereal,c_2Erealax_2Ereal__add_2E2(s(tyop_2Erealax_2Ereal,c_2Erealax_2Ereal__mul_2E2(s(tyop_2Erealax_2Ereal,V4v_2E0),s(tyop_2Erealax_2Ereal,V1y_2E0))),s(tyop_2Erealax_2Ereal,c_2Erealax_2Ereal__mul_2E2(s(tyop_2Erealax_2Ereal,c_2Erealax_2Ereal__neg_2E1(s(tyop_2Erealax_2Ereal,V3w_2E0))),s(tyop_2Erealax_2Ereal,V0z_2E0))))))),s(tyop_2Erealax_2Ereal,c_2Erealax_2Ereal__neg_2E1(s(tyop_2Erealax_2Ereal,V5a_2E0)))))) ) ).

fof(thm_2EHolSmt_2Er208,axiom,
    ! [V0z_2E0,V1y_2E0,V2x_2E0,V3w_2E0,V4v_2E0,V5a_2E0] :
      ( p(s(tyop_2Emin_2Ebool,c_2Erealax_2Ereal__lt_2E2(s(tyop_2Erealax_2Ereal,c_2Erealax_2Ereal__add_2E2(s(tyop_2Erealax_2Ereal,c_2Erealax_2Ereal__mul_2E2(s(tyop_2Erealax_2Ereal,c_2Erealax_2Ereal__neg_2E1(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,V2x_2E0))),s(tyop_2Erealax_2Ereal,c_2Erealax_2Ereal__add_2E2(s(tyop_2Erealax_2Ereal,c_2Erealax_2Ereal__mul_2E2(s(tyop_2Erealax_2Ereal,c_2Erealax_2Ereal__neg_2E1(s(tyop_2Erealax_2Ereal,V4v_2E0))),s(tyop_2Erealax_2Ereal,V1y_2E0))),s(tyop_2Erealax_2Ereal,c_2Erealax_2Ereal__mul_2E2(s(tyop_2Erealax_2Ereal,V3w_2E0),s(tyop_2Erealax_2Ereal,V0z_2E0))))))),s(tyop_2Erealax_2Ereal,c_2Erealax_2Ereal__neg_2E1(s(tyop_2Erealax_2Ereal,V5a_2E0))))))
    <=> ~ p(s(tyop_2Emin_2Ebool,c_2Ereal_2Ereal__lte_2E2(s(tyop_2Erealax_2Ereal,c_2Erealax_2Ereal__add_2E2(s(tyop_2Erealax_2Ereal,V2x_2E0),s(tyop_2Erealax_2Ereal,c_2Erealax_2Ereal__add_2E2(s(tyop_2Erealax_2Ereal,c_2Erealax_2Ereal__mul_2E2(s(tyop_2Erealax_2Ereal,V4v_2E0),s(tyop_2Erealax_2Ereal,V1y_2E0))),s(tyop_2Erealax_2Ereal,c_2Erealax_2Ereal__mul_2E2(s(tyop_2Erealax_2Ereal,c_2Erealax_2Ereal__neg_2E1(s(tyop_2Erealax_2Ereal,V3w_2E0))),s(tyop_2Erealax_2Ereal,V0z_2E0))))))),s(tyop_2Erealax_2Ereal,V5a_2E0)))) ) ).

fof(thm_2EHolSmt_2Er209,axiom,
    ! [V0z_2E0,V1y_2E0,V2x_2E0,V3w_2E0,V4v_2E0,V5a_2E0] :
      ( p(s(tyop_2Emin_2Ebool,c_2Erealax_2Ereal__lt_2E2(s(tyop_2Erealax_2Ereal,c_2Erealax_2Ereal__add_2E2(s(tyop_2Erealax_2Ereal,c_2Erealax_2Ereal__mul_2E2(s(tyop_2Erealax_2Ereal,c_2Erealax_2Ereal__neg_2E1(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,V2x_2E0))),s(tyop_2Erealax_2Ereal,c_2Erealax_2Ereal__add_2E2(s(tyop_2Erealax_2Ereal,c_2Erealax_2Ereal__mul_2E2(s(tyop_2Erealax_2Ereal,c_2Erealax_2Ereal__neg_2E1(s(tyop_2Erealax_2Ereal,V4v_2E0))),s(tyop_2Erealax_2Ereal,V1y_2E0))),s(tyop_2Erealax_2Ereal,c_2Erealax_2Ereal__mul_2E2(s(tyop_2Erealax_2Ereal,c_2Erealax_2Ereal__neg_2E1(s(tyop_2Erealax_2Ereal,V3w_2E0))),s(tyop_2Erealax_2Ereal,V0z_2E0))))))),s(tyop_2Erealax_2Ereal,V5a_2E0))))
    <=> ~ p(s(tyop_2Emin_2Ebool,c_2Ereal_2Ereal__lte_2E2(s(tyop_2Erealax_2Ereal,c_2Erealax_2Ereal__add_2E2(s(tyop_2Erealax_2Ereal,V2x_2E0),s(tyop_2Erealax_2Ereal,c_2Erealax_2Ereal__add_2E2(s(tyop_2Erealax_2Ereal,c_2Erealax_2Ereal__mul_2E2(s(tyop_2Erealax_2Ereal,V4v_2E0),s(tyop_2Erealax_2Ereal,V1y_2E0))),s(tyop_2Erealax_2Ereal,c_2Erealax_2Ereal__mul_2E2(s(tyop_2Erealax_2Ereal,V3w_2E0),s(tyop_2Erealax_2Ereal,V0z_2E0))))))),s(tyop_2Erealax_2Ereal,c_2Erealax_2Ereal__neg_2E1(s(tyop_2Erealax_2Ereal,V5a_2E0)))))) ) ).

fof(thm_2EHolSmt_2Er210,axiom,
    ! [V0z_2E0,V1y_2E0,V2x_2E0,V3w_2E0,V4v_2E0,V5a_2E0] :
      ( p(s(tyop_2Emin_2Ebool,c_2Erealax_2Ereal__lt_2E2(s(tyop_2Erealax_2Ereal,c_2Erealax_2Ereal__add_2E2(s(tyop_2Erealax_2Ereal,c_2Erealax_2Ereal__mul_2E2(s(tyop_2Erealax_2Ereal,c_2Erealax_2Ereal__neg_2E1(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,V2x_2E0))),s(tyop_2Erealax_2Ereal,c_2Erealax_2Ereal__add_2E2(s(tyop_2Erealax_2Ereal,c_2Erealax_2Ereal__mul_2E2(s(tyop_2Erealax_2Ereal,c_2Erealax_2Ereal__neg_2E1(s(tyop_2Erealax_2Ereal,V4v_2E0))),s(tyop_2Erealax_2Ereal,V1y_2E0))),s(tyop_2Erealax_2Ereal,c_2Erealax_2Ereal__mul_2E2(s(tyop_2Erealax_2Ereal,c_2Erealax_2Ereal__neg_2E1(s(tyop_2Erealax_2Ereal,V3w_2E0))),s(tyop_2Erealax_2Ereal,V0z_2E0))))))),s(tyop_2Erealax_2Ereal,c_2Erealax_2Ereal__neg_2E1(s(tyop_2Erealax_2Ereal,V5a_2E0))))))
    <=> ~ p(s(tyop_2Emin_2Ebool,c_2Ereal_2Ereal__lte_2E2(s(tyop_2Erealax_2Ereal,c_2Erealax_2Ereal__add_2E2(s(tyop_2Erealax_2Ereal,V2x_2E0),s(tyop_2Erealax_2Ereal,c_2Erealax_2Ereal__add_2E2(s(tyop_2Erealax_2Ereal,c_2Erealax_2Ereal__mul_2E2(s(tyop_2Erealax_2Ereal,V4v_2E0),s(tyop_2Erealax_2Ereal,V1y_2E0))),s(tyop_2Erealax_2Ereal,c_2Erealax_2Ereal__mul_2E2(s(tyop_2Erealax_2Ereal,V3w_2E0),s(tyop_2Erealax_2Ereal,V0z_2E0))))))),s(tyop_2Erealax_2Ereal,V5a_2E0)))) ) ).

fof(thm_2EHolSmt_2Er211,axiom,
    ! [V0z_2E0,V1y_2E0,V2x_2E0,V3w_2E0,V4u_2E0,V5a_2E0] :
      ( p(s(tyop_2Emin_2Ebool,c_2Erealax_2Ereal__lt_2E2(s(tyop_2Erealax_2Ereal,c_2Erealax_2Ereal__add_2E2(s(tyop_2Erealax_2Ereal,c_2Erealax_2Ereal__mul_2E2(s(tyop_2Erealax_2Ereal,c_2Erealax_2Ereal__neg_2E1(s(tyop_2Erealax_2Ereal,V4u_2E0))),s(tyop_2Erealax_2Ereal,V2x_2E0))),s(tyop_2Erealax_2Ereal,c_2Erealax_2Ereal__add_2E2(s(tyop_2Erealax_2Ereal,c_2Erealax_2Ereal__mul_2E2(s(tyop_2Erealax_2Ereal,c_2Erealax_2Ereal__neg_2E1(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,V1y_2E0))),s(tyop_2Erealax_2Ereal,c_2Erealax_2Ereal__mul_2E2(s(tyop_2Erealax_2Ereal,c_2Erealax_2Ereal__neg_2E1(s(tyop_2Erealax_2Ereal,V3w_2E0))),s(tyop_2Erealax_2Ereal,V0z_2E0))))))),s(tyop_2Erealax_2Ereal,c_2Erealax_2Ereal__neg_2E1(s(tyop_2Erealax_2Ereal,V5a_2E0))))))
    <=> ~ p(s(tyop_2Emin_2Ebool,c_2Ereal_2Ereal__lte_2E2(s(tyop_2Erealax_2Ereal,c_2Erealax_2Ereal__add_2E2(s(tyop_2Erealax_2Ereal,c_2Erealax_2Ereal__mul_2E2(s(tyop_2Erealax_2Ereal,V4u_2E0),s(tyop_2Erealax_2Ereal,V2x_2E0))),s(tyop_2Erealax_2Ereal,c_2Erealax_2Ereal__add_2E2(s(tyop_2Erealax_2Ereal,V1y_2E0),s(tyop_2Erealax_2Ereal,c_2Erealax_2Ereal__mul_2E2(s(tyop_2Erealax_2Ereal,V3w_2E0),s(tyop_2Erealax_2Ereal,V0z_2E0))))))),s(tyop_2Erealax_2Ereal,V5a_2E0)))) ) ).

fof(thm_2EHolSmt_2Er212,axiom,
    ! [V0z_2E0,V1y_2E0,V2x_2E0,V3v_2E0,V4u_2E0,V5a_2E0] :
      ( p(s(tyop_2Emin_2Ebool,c_2Erealax_2Ereal__lt_2E2(s(tyop_2Erealax_2Ereal,c_2Erealax_2Ereal__add_2E2(s(tyop_2Erealax_2Ereal,c_2Erealax_2Ereal__mul_2E2(s(tyop_2Erealax_2Ereal,c_2Erealax_2Ereal__neg_2E1(s(tyop_2Erealax_2Ereal,V4u_2E0))),s(tyop_2Erealax_2Ereal,V2x_2E0))),s(tyop_2Erealax_2Ereal,c_2Erealax_2Ereal__add_2E2(s(tyop_2Erealax_2Ereal,c_2Erealax_2Ereal__mul_2E2(s(tyop_2Erealax_2Ereal,V3v_2E0),s(tyop_2Erealax_2Ereal,V1y_2E0))),s(tyop_2Erealax_2Ereal,c_2Erealax_2Ereal__mul_2E2(s(tyop_2Erealax_2Ereal,c_2Erealax_2Ereal__neg_2E1(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,V0z_2E0))))))),s(tyop_2Erealax_2Ereal,c_2Erealax_2Ereal__neg_2E1(s(tyop_2Erealax_2Ereal,V5a_2E0))))))
    <=> ~ p(s(tyop_2Emin_2Ebool,c_2Ereal_2Ereal__lte_2E2(s(tyop_2Erealax_2Ereal,c_2Erealax_2Ereal__add_2E2(s(tyop_2Erealax_2Ereal,c_2Erealax_2Ereal__mul_2E2(s(tyop_2Erealax_2Ereal,V4u_2E0),s(tyop_2Erealax_2Ereal,V2x_2E0))),s(tyop_2Erealax_2Ereal,c_2Erealax_2Ereal__add_2E2(s(tyop_2Erealax_2Ereal,c_2Erealax_2Ereal__mul_2E2(s(tyop_2Erealax_2Ereal,c_2Erealax_2Ereal__neg_2E1(s(tyop_2Erealax_2Ereal,V3v_2E0))),s(tyop_2Erealax_2Ereal,V1y_2E0))),s(tyop_2Erealax_2Ereal,V0z_2E0))))),s(tyop_2Erealax_2Ereal,V5a_2E0)))) ) ).

fof(thm_2EHolSmt_2Er213,axiom,
    ! [V0x_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_2Enum_2E0_2E0))),s(tyop_2Erealax_2Ereal,V0x_2E0))) = s(tyop_2Erealax_2Ereal,V0x_2E0) ).

fof(thm_2EHolSmt_2Er214,axiom,
    ! [V0x_2E0] : s(tyop_2Erealax_2Ereal,c_2Erealax_2Ereal__add_2E2(s(tyop_2Erealax_2Ereal,V0x_2E0),s(tyop_2Erealax_2Ereal,c_2Ereal_2Ereal__of__num_2E1(s(tyop_2Enum_2Enum,c_2Enum_2E0_2E0))))) = s(tyop_2Erealax_2Ereal,V0x_2E0) ).

fof(thm_2EHolSmt_2Er215,axiom,
    ! [V0y_2E0,V1x_2E0] : s(tyop_2Erealax_2Ereal,c_2Erealax_2Ereal__add_2E2(s(tyop_2Erealax_2Ereal,V1x_2E0),s(tyop_2Erealax_2Ereal,V0y_2E0))) = s(tyop_2Erealax_2Ereal,c_2Erealax_2Ereal__add_2E2(s(tyop_2Erealax_2Ereal,V0y_2E0),s(tyop_2Erealax_2Ereal,V1x_2E0))) ).

fof(thm_2EHolSmt_2Er216,axiom,
    ! [V0x_2E0] : s(tyop_2Erealax_2Ereal,c_2Erealax_2Ereal__add_2E2(s(tyop_2Erealax_2Ereal,V0x_2E0),s(tyop_2Erealax_2Ereal,V0x_2E0))) = s(tyop_2Erealax_2Ereal,c_2Erealax_2Ereal__mul_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,V0x_2E0))) ).

fof(thm_2EHolSmt_2Er217,axiom,
    ! [V0z_2E0,V1y_2E0,V2x_2E0] : s(tyop_2Erealax_2Ereal,c_2Erealax_2Ereal__add_2E2(s(tyop_2Erealax_2Ereal,c_2Erealax_2Ereal__add_2E2(s(tyop_2Erealax_2Ereal,V2x_2E0),s(tyop_2Erealax_2Ereal,V1y_2E0))),s(tyop_2Erealax_2Ereal,V0z_2E0))) = s(tyop_2Erealax_2Ereal,c_2Erealax_2Ereal__add_2E2(s(tyop_2Erealax_2Ereal,V2x_2E0),s(tyop_2Erealax_2Ereal,c_2Erealax_2Ereal__add_2E2(s(tyop_2Erealax_2Ereal,V1y_2E0),s(tyop_2Erealax_2Ereal,V0z_2E0))))) ).

fof(thm_2EHolSmt_2Er218,axiom,
    ! [V0z_2E0,V1y_2E0,V2x_2E0] : s(tyop_2Erealax_2Ereal,c_2Erealax_2Ereal__add_2E2(s(tyop_2Erealax_2Ereal,c_2Erealax_2Ereal__add_2E2(s(tyop_2Erealax_2Ereal,V2x_2E0),s(tyop_2Erealax_2Ereal,V1y_2E0))),s(tyop_2Erealax_2Ereal,V0z_2E0))) = s(tyop_2Erealax_2Ereal,c_2Erealax_2Ereal__add_2E2(s(tyop_2Erealax_2Ereal,V2x_2E0),s(tyop_2Erealax_2Ereal,c_2Erealax_2Ereal__add_2E2(s(tyop_2Erealax_2Ereal,V0z_2E0),s(tyop_2Erealax_2Ereal,V1y_2E0))))) ).

fof(thm_2EHolSmt_2Er219,axiom,
    ! [V0z_2E0,V1y_2E0,V2x_2E0] : s(tyop_2Erealax_2Ereal,c_2Erealax_2Ereal__add_2E2(s(tyop_2Erealax_2Ereal,V2x_2E0),s(tyop_2Erealax_2Ereal,c_2Erealax_2Ereal__add_2E2(s(tyop_2Erealax_2Ereal,V1y_2E0),s(tyop_2Erealax_2Ereal,V0z_2E0))))) = s(tyop_2Erealax_2Ereal,c_2Erealax_2Ereal__add_2E2(s(tyop_2Erealax_2Ereal,V1y_2E0),s(tyop_2Erealax_2Ereal,c_2Erealax_2Ereal__add_2E2(s(tyop_2Erealax_2Ereal,V0z_2E0),s(tyop_2Erealax_2Ereal,V2x_2E0))))) ).

fof(thm_2EHolSmt_2Er220,axiom,
    ! [V0z_2E0,V1y_2E0,V2x_2E0] : s(tyop_2Erealax_2Ereal,c_2Erealax_2Ereal__add_2E2(s(tyop_2Erealax_2Ereal,V2x_2E0),s(tyop_2Erealax_2Ereal,c_2Erealax_2Ereal__add_2E2(s(tyop_2Erealax_2Ereal,V1y_2E0),s(tyop_2Erealax_2Ereal,V0z_2E0))))) = s(tyop_2Erealax_2Ereal,c_2Erealax_2Ereal__add_2E2(s(tyop_2Erealax_2Ereal,V1y_2E0),s(tyop_2Erealax_2Ereal,c_2Erealax_2Ereal__add_2E2(s(tyop_2Erealax_2Ereal,V2x_2E0),s(tyop_2Erealax_2Ereal,V0z_2E0))))) ).

fof(thm_2EHolSmt_2Er221,axiom,
    ! [V0x_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_2Enum_2E0_2E0))),s(tyop_2Erealax_2Ereal,V0x_2E0))) = s(tyop_2Erealax_2Ereal,c_2Erealax_2Ereal__neg_2E1(s(tyop_2Erealax_2Ereal,V0x_2E0))) ).

fof(thm_2EHolSmt_2Er222,axiom,
    ! [V0x_2E0,V1u_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_2Enum_2E0_2E0))),s(tyop_2Erealax_2Ereal,c_2Erealax_2Ereal__mul_2E2(s(tyop_2Erealax_2Ereal,V1u_2E0),s(tyop_2Erealax_2Ereal,V0x_2E0))))) = s(tyop_2Erealax_2Ereal,c_2Erealax_2Ereal__mul_2E2(s(tyop_2Erealax_2Ereal,c_2Erealax_2Ereal__neg_2E1(s(tyop_2Erealax_2Ereal,V1u_2E0))),s(tyop_2Erealax_2Ereal,V0x_2E0))) ).

fof(thm_2EHolSmt_2Er223,axiom,
    ! [V0x_2E0] : s(tyop_2Erealax_2Ereal,c_2Ereal_2Ereal__sub_2E2(s(tyop_2Erealax_2Ereal,V0x_2E0),s(tyop_2Erealax_2Ereal,c_2Ereal_2Ereal__of__num_2E1(s(tyop_2Enum_2Enum,c_2Enum_2E0_2E0))))) = s(tyop_2Erealax_2Ereal,V0x_2E0) ).

fof(thm_2EHolSmt_2Er224,axiom,
    ! [V0y_2E0,V1x_2E0] : s(tyop_2Erealax_2Ereal,c_2Ereal_2Ereal__sub_2E2(s(tyop_2Erealax_2Ereal,V1x_2E0),s(tyop_2Erealax_2Ereal,V0y_2E0))) = s(tyop_2Erealax_2Ereal,c_2Erealax_2Ereal__add_2E2(s(tyop_2Erealax_2Ereal,V1x_2E0),s(tyop_2Erealax_2Ereal,c_2Erealax_2Ereal__mul_2E2(s(tyop_2Erealax_2Ereal,c_2Erealax_2Ereal__neg_2E1(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,V0y_2E0))))) ).

fof(thm_2EHolSmt_2Er225,axiom,
    ! [V0y_2E0,V1x_2E0] : s(tyop_2Erealax_2Ereal,c_2Ereal_2Ereal__sub_2E2(s(tyop_2Erealax_2Ereal,V1x_2E0),s(tyop_2Erealax_2Ereal,V0y_2E0))) = s(tyop_2Erealax_2Ereal,c_2Erealax_2Ereal__add_2E2(s(tyop_2Erealax_2Ereal,c_2Erealax_2Ereal__mul_2E2(s(tyop_2Erealax_2Ereal,c_2Erealax_2Ereal__neg_2E1(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,V0y_2E0))),s(tyop_2Erealax_2Ereal,V1x_2E0))) ).

fof(thm_2EHolSmt_2Er226,axiom,
    ! [V0y_2E0,V1x_2E0,V2u_2E0] : s(tyop_2Erealax_2Ereal,c_2Ereal_2Ereal__sub_2E2(s(tyop_2Erealax_2Ereal,V1x_2E0),s(tyop_2Erealax_2Ereal,c_2Erealax_2Ereal__mul_2E2(s(tyop_2Erealax_2Ereal,V2u_2E0),s(tyop_2Erealax_2Ereal,V0y_2E0))))) = s(tyop_2Erealax_2Ereal,c_2Erealax_2Ereal__add_2E2(s(tyop_2Erealax_2Ereal,V1x_2E0),s(tyop_2Erealax_2Ereal,c_2Erealax_2Ereal__mul_2E2(s(tyop_2Erealax_2Ereal,c_2Erealax_2Ereal__neg_2E1(s(tyop_2Erealax_2Ereal,V2u_2E0))),s(tyop_2Erealax_2Ereal,V0y_2E0))))) ).

fof(thm_2EHolSmt_2Er227,axiom,
    ! [V0y_2E0,V1x_2E0,V2u_2E0] : s(tyop_2Erealax_2Ereal,c_2Ereal_2Ereal__sub_2E2(s(tyop_2Erealax_2Ereal,V1x_2E0),s(tyop_2Erealax_2Ereal,c_2Erealax_2Ereal__mul_2E2(s(tyop_2Erealax_2Ereal,V2u_2E0),s(tyop_2Erealax_2Ereal,V0y_2E0))))) = s(tyop_2Erealax_2Ereal,c_2Erealax_2Ereal__add_2E2(s(tyop_2Erealax_2Ereal,c_2Erealax_2Ereal__mul_2E2(s(tyop_2Erealax_2Ereal,c_2Erealax_2Ereal__neg_2E1(s(tyop_2Erealax_2Ereal,V2u_2E0))),s(tyop_2Erealax_2Ereal,V0y_2E0))),s(tyop_2Erealax_2Ereal,V1x_2E0))) ).

fof(thm_2EHolSmt_2Er228,axiom,
    ! [V0z_2E0,V1y_2E0,V2x_2E0] : s(tyop_2Erealax_2Ereal,c_2Ereal_2Ereal__sub_2E2(s(tyop_2Erealax_2Ereal,c_2Erealax_2Ereal__add_2E2(s(tyop_2Erealax_2Ereal,V2x_2E0),s(tyop_2Erealax_2Ereal,V1y_2E0))),s(tyop_2Erealax_2Ereal,V0z_2E0))) = s(tyop_2Erealax_2Ereal,c_2Erealax_2Ereal__add_2E2(s(tyop_2Erealax_2Ereal,V2x_2E0),s(tyop_2Erealax_2Ereal,c_2Erealax_2Ereal__add_2E2(s(tyop_2Erealax_2Ereal,V1y_2E0),s(tyop_2Erealax_2Ereal,c_2Erealax_2Ereal__mul_2E2(s(tyop_2Erealax_2Ereal,c_2Erealax_2Ereal__neg_2E1(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,V0z_2E0))))))) ).

fof(thm_2EHolSmt_2Er229,axiom,
    ! [V0z_2E0,V1y_2E0,V2x_2E0] : s(tyop_2Erealax_2Ereal,c_2Ereal_2Ereal__sub_2E2(s(tyop_2Erealax_2Ereal,c_2Erealax_2Ereal__add_2E2(s(tyop_2Erealax_2Ereal,V2x_2E0),s(tyop_2Erealax_2Ereal,V1y_2E0))),s(tyop_2Erealax_2Ereal,V0z_2E0))) = s(tyop_2Erealax_2Ereal,c_2Erealax_2Ereal__add_2E2(s(tyop_2Erealax_2Ereal,V2x_2E0),s(tyop_2Erealax_2Ereal,c_2Erealax_2Ereal__add_2E2(s(tyop_2Erealax_2Ereal,c_2Erealax_2Ereal__mul_2E2(s(tyop_2Erealax_2Ereal,c_2Erealax_2Ereal__neg_2E1(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,V0z_2E0))),s(tyop_2Erealax_2Ereal,V1y_2E0))))) ).

fof(thm_2EHolSmt_2Er230,axiom,
    ! [V0z_2E0,V1y_2E0,V2x_2E0,V3u_2E0] : s(tyop_2Erealax_2Ereal,c_2Ereal_2Ereal__sub_2E2(s(tyop_2Erealax_2Ereal,c_2Erealax_2Ereal__add_2E2(s(tyop_2Erealax_2Ereal,V2x_2E0),s(tyop_2Erealax_2Ereal,V1y_2E0))),s(tyop_2Erealax_2Ereal,c_2Erealax_2Ereal__mul_2E2(s(tyop_2Erealax_2Ereal,V3u_2E0),s(tyop_2Erealax_2Ereal,V0z_2E0))))) = s(tyop_2Erealax_2Ereal,c_2Erealax_2Ereal__add_2E2(s(tyop_2Erealax_2Ereal,c_2Erealax_2Ereal__mul_2E2(s(tyop_2Erealax_2Ereal,c_2Erealax_2Ereal__neg_2E1(s(tyop_2Erealax_2Ereal,V3u_2E0))),s(tyop_2Erealax_2Ereal,V0z_2E0))),s(tyop_2Erealax_2Ereal,c_2Erealax_2Ereal__add_2E2(s(tyop_2Erealax_2Ereal,V2x_2E0),s(tyop_2Erealax_2Ereal,V1y_2E0))))) ).

fof(thm_2EHolSmt_2Er231,axiom,
    ! [V0z_2E0,V1y_2E0,V2x_2E0,V3u_2E0] : s(tyop_2Erealax_2Ereal,c_2Ereal_2Ereal__sub_2E2(s(tyop_2Erealax_2Ereal,c_2Erealax_2Ereal__add_2E2(s(tyop_2Erealax_2Ereal,V2x_2E0),s(tyop_2Erealax_2Ereal,V1y_2E0))),s(tyop_2Erealax_2Ereal,c_2Erealax_2Ereal__mul_2E2(s(tyop_2Erealax_2Ereal,V3u_2E0),s(tyop_2Erealax_2Ereal,V0z_2E0))))) = s(tyop_2Erealax_2Ereal,c_2Erealax_2Ereal__add_2E2(s(tyop_2Erealax_2Ereal,V2x_2E0),s(tyop_2Erealax_2Ereal,c_2Erealax_2Ereal__add_2E2(s(tyop_2Erealax_2Ereal,c_2Erealax_2Ereal__mul_2E2(s(tyop_2Erealax_2Ereal,c_2Erealax_2Ereal__neg_2E1(s(tyop_2Erealax_2Ereal,V3u_2E0))),s(tyop_2Erealax_2Ereal,V0z_2E0))),s(tyop_2Erealax_2Ereal,V1y_2E0))))) ).

fof(thm_2EHolSmt_2Er232,axiom,
    ! [V0z_2E0,V1y_2E0,V2x_2E0,V3u_2E0] : s(tyop_2Erealax_2Ereal,c_2Ereal_2Ereal__sub_2E2(s(tyop_2Erealax_2Ereal,c_2Erealax_2Ereal__add_2E2(s(tyop_2Erealax_2Ereal,V2x_2E0),s(tyop_2Erealax_2Ereal,V1y_2E0))),s(tyop_2Erealax_2Ereal,c_2Erealax_2Ereal__mul_2E2(s(tyop_2Erealax_2Ereal,V3u_2E0),s(tyop_2Erealax_2Ereal,V0z_2E0))))) = s(tyop_2Erealax_2Ereal,c_2Erealax_2Ereal__add_2E2(s(tyop_2Erealax_2Ereal,V2x_2E0),s(tyop_2Erealax_2Ereal,c_2Erealax_2Ereal__add_2E2(s(tyop_2Erealax_2Ereal,V1y_2E0),s(tyop_2Erealax_2Ereal,c_2Erealax_2Ereal__mul_2E2(s(tyop_2Erealax_2Ereal,c_2Erealax_2Ereal__neg_2E1(s(tyop_2Erealax_2Ereal,V3u_2E0))),s(tyop_2Erealax_2Ereal,V0z_2E0))))))) ).

fof(thm_2EHolSmt_2Er233,axiom,
    ! [V0x_2E0] : s(tyop_2Erealax_2Ereal,c_2Erealax_2Ereal__mul_2E2(s(tyop_2Erealax_2Ereal,c_2Ereal_2Ereal__of__num_2E1(s(tyop_2Enum_2Enum,c_2Enum_2E0_2E0))),s(tyop_2Erealax_2Ereal,V0x_2E0))) = s(tyop_2Erealax_2Ereal,c_2Ereal_2Ereal__of__num_2E1(s(tyop_2Enum_2Enum,c_2Enum_2E0_2E0))) ).

fof(thm_2EHolSmt_2Er234,axiom,
    ! [V0x_2E0] : s(tyop_2Erealax_2Ereal,c_2Erealax_2Ereal__mul_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,V0x_2E0))) = s(tyop_2Erealax_2Ereal,V0x_2E0) ).

fof(thm_2EHolSmt_2Er235,axiom,
    ! [A_27a,V0x_2E0] : s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27a),c_2Ewords_2Eword__add_2E2(s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27a),c_2Ewords_2En2w_2E1(s(tyop_2Enum_2Enum,c_2Enum_2E0_2E0))),s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27a),V0x_2E0))) = s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27a),V0x_2E0) ).

fof(thm_2EHolSmt_2Er236,axiom,
    ! [A_27a,V0y_2E0,V1x_2E0] : s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27a),c_2Ewords_2Eword__add_2E2(s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27a),V1x_2E0),s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27a),V0y_2E0))) = s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27a),c_2Ewords_2Eword__add_2E2(s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27a),V0y_2E0),s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27a),V1x_2E0))) ).

fof(thm_2EHolSmt_2Er237,axiom,
    ! [A_27a,V0x_2E0] : s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27a),c_2Ewords_2Eword__add_2E2(s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27a),c_2Ewords_2En2w_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_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27a),c_2Ewords_2Eword__add_2E2(s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27a),c_2Ewords_2En2w_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_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27a),V0x_2E0))))) = s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27a),c_2Ewords_2Eword__add_2E2(s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27a),c_2Ewords_2En2w_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_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27a),V0x_2E0))) ).

fof(thm_2EHolSmt_2Er238,axiom,
    ! [A_27a,V0z_2E0,V1y_2E0,V2x_2E0] :
      ( s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27a),c_2Ewords_2Eword__add_2E2(s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27a),V2x_2E0),s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27a),V0z_2E0))) = s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27a),c_2Ewords_2Eword__add_2E2(s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27a),V1y_2E0),s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27a),V2x_2E0)))
    <=> s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27a),V1y_2E0) = s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27a),V0z_2E0) ) ).

fof(thm_2EHolSmt_2Er239,axiom,
    ! [A_27a,A_27b,A_27c,V0x_2E0] :
      ( p(s(tyop_2Emin_2Ebool,c_2Eprim__rec_2E_3C_2E2(s(tyop_2Enum_2Enum,V0x_2E0),s(tyop_2Enum_2Enum,c_2Ewords_2Edimword_2E1(s(tyop_2Ebool_2Eitself(A_27b),c_2Ebool_2Ethe__value_2E0))))))
     => ( p(s(tyop_2Emin_2Ebool,c_2Epred__set_2EFINITE_2E1(s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool),c_2Epred__set_2EUNIV_2E0))))
       => s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27c),c_2Ewords_2Eword__concat_2E2(s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27a),c_2Ewords_2En2w_2E1(s(tyop_2Enum_2Enum,c_2Enum_2E0_2E0))),s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27b),c_2Ewords_2En2w_2E1(s(tyop_2Enum_2Enum,V0x_2E0))))) = s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27c),c_2Ewords_2En2w_2E1(s(tyop_2Enum_2Enum,V0x_2E0))) ) ) ).

fof(thm_2EHolSmt_2Er240,axiom,
    ! [A_27a,A_27b,V0x_2E0] :
      ( p(s(tyop_2Emin_2Ebool,c_2Eprim__rec_2E_3C_2E2(s(tyop_2Enum_2Enum,V0x_2E0),s(tyop_2Enum_2Enum,c_2Ewords_2Edimword_2E1(s(tyop_2Ebool_2Eitself(A_27a),c_2Ebool_2Ethe__value_2E0))))))
     => s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27b),c_2Ewords_2Ew2w_2E1(s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27a),c_2Ewords_2En2w_2E1(s(tyop_2Enum_2Enum,V0x_2E0))))) = s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27b),c_2Ewords_2En2w_2E1(s(tyop_2Enum_2Enum,V0x_2E0))) ) ).

fof(thm_2EHolSmt_2Er241,axiom,
    ! [A_27a,A_27b,A_27c,V0y_2E0,V1x_2E0] :
      ( p(s(tyop_2Emin_2Ebool,c_2Earithmetic_2E_3C_3D_2E2(s(tyop_2Enum_2Enum,c_2Efcp_2Edimindex_2E1(s(tyop_2Ebool_2Eitself(A_27b),c_2Ebool_2Ethe__value_2E0))),s(tyop_2Enum_2Enum,c_2Efcp_2Edimindex_2E1(s(tyop_2Ebool_2Eitself(A_27c),c_2Ebool_2Ethe__value_2E0))))))
     => ( p(s(tyop_2Emin_2Ebool,c_2Eprim__rec_2E_3C_2E2(s(tyop_2Enum_2Enum,V0y_2E0),s(tyop_2Enum_2Enum,c_2Ewords_2Edimword_2E1(s(tyop_2Ebool_2Eitself(A_27b),c_2Ebool_2Ethe__value_2E0))))))
       => ( p(s(tyop_2Emin_2Ebool,c_2Epred__set_2EFINITE_2E1(s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool),c_2Epred__set_2EUNIV_2E0))))
         => ( s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27c),c_2Ewords_2Eword__concat_2E2(s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27a),c_2Ewords_2En2w_2E1(s(tyop_2Enum_2Enum,c_2Enum_2E0_2E0))),s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27b),V1x_2E0))) = s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27c),c_2Ewords_2En2w_2E1(s(tyop_2Enum_2Enum,V0y_2E0)))
          <=> s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27b),V1x_2E0) = s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27b),c_2Ewords_2En2w_2E1(s(tyop_2Enum_2Enum,V0y_2E0))) ) ) ) ) ).

fof(thm_2EHolSmt_2Er242,axiom,
    ! [A_27a,A_27b,A_27c,V0y_2E0,V1x_2E0] :
      ( p(s(tyop_2Emin_2Ebool,c_2Earithmetic_2E_3C_3D_2E2(s(tyop_2Enum_2Enum,c_2Efcp_2Edimindex_2E1(s(tyop_2Ebool_2Eitself(A_27b),c_2Ebool_2Ethe__value_2E0))),s(tyop_2Enum_2Enum,c_2Efcp_2Edimindex_2E1(s(tyop_2Ebool_2Eitself(A_27c),c_2Ebool_2Ethe__value_2E0))))))
     => ( p(s(tyop_2Emin_2Ebool,c_2Eprim__rec_2E_3C_2E2(s(tyop_2Enum_2Enum,V0y_2E0),s(tyop_2Enum_2Enum,c_2Ewords_2Edimword_2E1(s(tyop_2Ebool_2Eitself(A_27b),c_2Ebool_2Ethe__value_2E0))))))
       => ( p(s(tyop_2Emin_2Ebool,c_2Epred__set_2EFINITE_2E1(s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool),c_2Epred__set_2EUNIV_2E0))))
         => ( s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27c),c_2Ewords_2Eword__concat_2E2(s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27a),c_2Ewords_2En2w_2E1(s(tyop_2Enum_2Enum,c_2Enum_2E0_2E0))),s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27b),V1x_2E0))) = s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27c),c_2Ewords_2En2w_2E1(s(tyop_2Enum_2Enum,V0y_2E0)))
          <=> s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27b),c_2Ewords_2En2w_2E1(s(tyop_2Enum_2Enum,V0y_2E0))) = s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27b),V1x_2E0) ) ) ) ) ).

fof(thm_2EHolSmt_2Er243,axiom,
    ! [A_27a,A_27b,A_27c,V0y_2E0,V1x_2E0] :
      ( p(s(tyop_2Emin_2Ebool,c_2Earithmetic_2E_3C_3D_2E2(s(tyop_2Enum_2Enum,c_2Efcp_2Edimindex_2E1(s(tyop_2Ebool_2Eitself(A_27b),c_2Ebool_2Ethe__value_2E0))),s(tyop_2Enum_2Enum,c_2Efcp_2Edimindex_2E1(s(tyop_2Ebool_2Eitself(A_27c),c_2Ebool_2Ethe__value_2E0))))))
     => ( p(s(tyop_2Emin_2Ebool,c_2Eprim__rec_2E_3C_2E2(s(tyop_2Enum_2Enum,V0y_2E0),s(tyop_2Enum_2Enum,c_2Ewords_2Edimword_2E1(s(tyop_2Ebool_2Eitself(A_27b),c_2Ebool_2Ethe__value_2E0))))))
       => ( p(s(tyop_2Emin_2Ebool,c_2Epred__set_2EFINITE_2E1(s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool),c_2Epred__set_2EUNIV_2E0))))
         => ( s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27c),c_2Ewords_2En2w_2E1(s(tyop_2Enum_2Enum,V0y_2E0))) = s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27c),c_2Ewords_2Eword__concat_2E2(s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27a),c_2Ewords_2En2w_2E1(s(tyop_2Enum_2Enum,c_2Enum_2E0_2E0))),s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27b),V1x_2E0)))
          <=> s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27b),V1x_2E0) = s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27b),c_2Ewords_2En2w_2E1(s(tyop_2Enum_2Enum,V0y_2E0))) ) ) ) ) ).

fof(thm_2EHolSmt_2Er244,axiom,
    ! [A_27a,A_27b,A_27c,V0y_2E0,V1x_2E0] :
      ( p(s(tyop_2Emin_2Ebool,c_2Earithmetic_2E_3C_3D_2E2(s(tyop_2Enum_2Enum,c_2Efcp_2Edimindex_2E1(s(tyop_2Ebool_2Eitself(A_27b),c_2Ebool_2Ethe__value_2E0))),s(tyop_2Enum_2Enum,c_2Efcp_2Edimindex_2E1(s(tyop_2Ebool_2Eitself(A_27c),c_2Ebool_2Ethe__value_2E0))))))
     => ( p(s(tyop_2Emin_2Ebool,c_2Eprim__rec_2E_3C_2E2(s(tyop_2Enum_2Enum,V0y_2E0),s(tyop_2Enum_2Enum,c_2Ewords_2Edimword_2E1(s(tyop_2Ebool_2Eitself(A_27b),c_2Ebool_2Ethe__value_2E0))))))
       => ( p(s(tyop_2Emin_2Ebool,c_2Epred__set_2EFINITE_2E1(s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool),c_2Epred__set_2EUNIV_2E0))))
         => ( s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27c),c_2Ewords_2En2w_2E1(s(tyop_2Enum_2Enum,V0y_2E0))) = s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27c),c_2Ewords_2Eword__concat_2E2(s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27a),c_2Ewords_2En2w_2E1(s(tyop_2Enum_2Enum,c_2Enum_2E0_2E0))),s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27b),V1x_2E0)))
          <=> s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27b),c_2Ewords_2En2w_2E1(s(tyop_2Enum_2Enum,V0y_2E0))) = s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27b),V1x_2E0) ) ) ) ) ).

fof(thm_2EHolSmt_2Er245,axiom,
    ! [A_27a,V0y_2E0,V1x_2E0] : s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27a),c_2Ewords_2Eword__and_2E2(s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27a),V1x_2E0),s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27a),V0y_2E0))) = s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27a),c_2Ewords_2Eword__and_2E2(s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27a),V0y_2E0),s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27a),V1x_2E0))) ).

fof(thm_2EHolSmt_2Er246,axiom,
    ! [A_27a,V0z_2E0,V1y_2E0,V2x_2E0] : s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27a),c_2Ewords_2Eword__and_2E2(s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27a),V2x_2E0),s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27a),c_2Ewords_2Eword__and_2E2(s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27a),V1y_2E0),s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27a),V0z_2E0))))) = s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27a),c_2Ewords_2Eword__and_2E2(s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27a),V1y_2E0),s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27a),c_2Ewords_2Eword__and_2E2(s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27a),V2x_2E0),s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27a),V0z_2E0))))) ).

fof(thm_2EHolSmt_2Er247,axiom,
    ! [A_27a,V0z_2E0,V1y_2E0,V2x_2E0] : s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27a),c_2Ewords_2Eword__and_2E2(s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27a),V2x_2E0),s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27a),c_2Ewords_2Eword__and_2E2(s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27a),V1y_2E0),s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27a),V0z_2E0))))) = s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27a),c_2Ewords_2Eword__and_2E2(s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27a),c_2Ewords_2Eword__and_2E2(s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27a),V2x_2E0),s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27a),V1y_2E0))),s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27a),V0z_2E0))) ).

fof(thm_2EHolSmt_2Er248,axiom,
    ! [V0y_2E0,V1x_2E0] :
      ( s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,tyop_2Eone_2Eone),c_2Ewords_2En2w_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_2Efcp_2Ecart(tyop_2Emin_2Ebool,tyop_2Eone_2Eone),c_2Ewords_2Eword__and_2E2(s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,tyop_2Eone_2Eone),V1x_2E0),s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,tyop_2Eone_2Eone),V0y_2E0)))
    <=> ( s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,tyop_2Eone_2Eone),c_2Ewords_2En2w_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_2Efcp_2Ecart(tyop_2Emin_2Ebool,tyop_2Eone_2Eone),V1x_2E0)
        & s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,tyop_2Eone_2Eone),c_2Ewords_2En2w_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_2Efcp_2Ecart(tyop_2Emin_2Ebool,tyop_2Eone_2Eone),V0y_2E0) ) ) ).

fof(thm_2EHolSmt_2Er249,axiom,
    ! [V0y_2E0,V1x_2E0] :
      ( s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,tyop_2Eone_2Eone),c_2Ewords_2En2w_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_2Efcp_2Ecart(tyop_2Emin_2Ebool,tyop_2Eone_2Eone),c_2Ewords_2Eword__and_2E2(s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,tyop_2Eone_2Eone),V1x_2E0),s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,tyop_2Eone_2Eone),V0y_2E0)))
    <=> ( s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,tyop_2Eone_2Eone),c_2Ewords_2En2w_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_2Efcp_2Ecart(tyop_2Emin_2Ebool,tyop_2Eone_2Eone),V0y_2E0)
        & s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,tyop_2Eone_2Eone),c_2Ewords_2En2w_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_2Efcp_2Ecart(tyop_2Emin_2Ebool,tyop_2Eone_2Eone),V1x_2E0) ) ) ).

fof(thm_2EHolSmt_2Er250,axiom,
    ! [V0x_2E0] : s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Eone_2Eone)))),c_2Ewords_2Eword__extract_2E3(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_2EZERO_2E0))))))))),s(tyop_2Enum_2Enum,c_2Enum_2E0_2E0),s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Eone_2Eone)))),V0x_2E0))) = s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Eone_2Eone)))),V0x_2E0) ).

fof(thm_2EHolSmt_2Er251,axiom,
    ! [A_27a,V0y_2E0,V1x_2E0] :
      ( p(s(tyop_2Emin_2Ebool,c_2Ewords_2Eword__lo_2E2(s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27a),V1x_2E0),s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27a),V0y_2E0))))
    <=> ~ p(s(tyop_2Emin_2Ebool,c_2Ewords_2Eword__ls_2E2(s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27a),V0y_2E0),s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27a),V1x_2E0)))) ) ).

fof(thm_2EHolSmt_2Er252,axiom,
    ! [A_27a,V0y_2E0,V1x_2E0] : s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27a),c_2Ewords_2Eword__mul_2E2(s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27a),V1x_2E0),s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27a),V0y_2E0))) = s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27a),c_2Ewords_2Eword__mul_2E2(s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27a),V0y_2E0),s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27a),V1x_2E0))) ).

fof(thm_2EHolSmt_2Er253,axiom,
    ! [V0x_2E0] : s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,tyop_2Eone_2Eone),c_2Ewords_2Eword__extract_2E3(s(tyop_2Enum_2Enum,c_2Enum_2E0_2E0),s(tyop_2Enum_2Enum,c_2Enum_2E0_2E0),s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,tyop_2Eone_2Eone),V0x_2E0))) = s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,tyop_2Eone_2Eone),V0x_2E0) ).

fof(thm_2EHolSmt_2Er254,axiom,
    ! [A_27a,V0z_2E0,V1y_2E0,V2x_2E0] : s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27a),c_2Ewords_2Eword__and_2E2(s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27a),c_2Ewords_2Eword__and_2E2(s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27a),V2x_2E0),s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27a),V1y_2E0))),s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27a),V0z_2E0))) = s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27a),c_2Ewords_2Eword__and_2E2(s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27a),V2x_2E0),s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27a),c_2Ewords_2Eword__and_2E2(s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27a),V1y_2E0),s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27a),V0z_2E0))))) ).

fof(thm_2EHolSmt_2Er255,axiom,
    ! [A_27a,V0x_2E0] : s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27a),c_2Ewords_2Eword__or_2E2(s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27a),c_2Ewords_2En2w_2E1(s(tyop_2Enum_2Enum,c_2Enum_2E0_2E0))),s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27a),V0x_2E0))) = s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27a),V0x_2E0) ).

fof(thm_2EHolSmt_2Et001,axiom,
    ! [A_27a,A_27b,V0z_2E0,V1y_2E0,V2x_2E0,V3f_2E0] :
      ( s(A_27a,V2x_2E0) = s(A_27a,V1y_2E0)
      | s(A_27b,app_2E2(s(tyop_2Emin_2Efun(A_27a,A_27b),V3f_2E0),s(A_27a,V2x_2E0))) = s(A_27b,c_2Ecombin_2EUPDATE_2E4(s(A_27a,V1y_2E0),s(A_27b,V0z_2E0),s(tyop_2Emin_2Efun(A_27a,A_27b),V3f_2E0),s(A_27a,V2x_2E0))) ) ).

fof(thm_2EHolSmt_2Et002,axiom,
    ! [A_27a,A_27b,V0z_2E0,V1y_2E0,V2x_2E0,V3f_2E0] :
      ( s(A_27a,V2x_2E0) = s(A_27a,V1y_2E0)
      | s(A_27b,app_2E2(s(tyop_2Emin_2Efun(A_27a,A_27b),V3f_2E0),s(A_27a,V1y_2E0))) = s(A_27b,c_2Ecombin_2EUPDATE_2E4(s(A_27a,V2x_2E0),s(A_27b,V0z_2E0),s(tyop_2Emin_2Efun(A_27a,A_27b),V3f_2E0),s(A_27a,V1y_2E0))) ) ).

fof(thm_2EHolSmt_2Et003,axiom,
    ! [A_27a,A_27b,V0z_2E0,V1y_2E0,V2x_2E0,V3f_2E0] :
      ( s(A_27a,V2x_2E0) = s(A_27a,V1y_2E0)
      | s(A_27b,c_2Ecombin_2EUPDATE_2E4(s(A_27a,V1y_2E0),s(A_27b,V0z_2E0),s(tyop_2Emin_2Efun(A_27a,A_27b),V3f_2E0),s(A_27a,V2x_2E0))) = s(A_27b,app_2E2(s(tyop_2Emin_2Efun(A_27a,A_27b),V3f_2E0),s(A_27a,V2x_2E0))) ) ).

fof(thm_2EHolSmt_2Et004,axiom,
    ! [A_27a,A_27b,V0z_2E0,V1y_2E0,V2x_2E0,V3f_2E0] :
      ( s(A_27a,V2x_2E0) = s(A_27a,V1y_2E0)
      | s(A_27b,c_2Ecombin_2EUPDATE_2E4(s(A_27a,V2x_2E0),s(A_27b,V0z_2E0),s(tyop_2Emin_2Efun(A_27a,A_27b),V3f_2E0),s(A_27a,V1y_2E0))) = s(A_27b,app_2E2(s(tyop_2Emin_2Efun(A_27a,A_27b),V3f_2E0),s(A_27a,V1y_2E0))) ) ).

fof(thm_2EHolSmt_2Et005,axiom,
    ! [A_27a,A_27b,V0g_2E0,V1f_2E0] :
      ( s(tyop_2Emin_2Efun(A_27a,A_27b),V1f_2E0) = s(tyop_2Emin_2Efun(A_27a,A_27b),V0g_2E0)
      | s(A_27b,app_2E2(s(tyop_2Emin_2Efun(A_27a,A_27b),V1f_2E0),s(A_27a,c_2EHolSmt_2Earray__ext_2E2(s(tyop_2Emin_2Efun(A_27a,A_27b),V1f_2E0),s(tyop_2Emin_2Efun(A_27a,A_27b),V0g_2E0))))) != s(A_27b,app_2E2(s(tyop_2Emin_2Efun(A_27a,A_27b),V0g_2E0),s(A_27a,c_2EHolSmt_2Earray__ext_2E2(s(tyop_2Emin_2Efun(A_27a,A_27b),V1f_2E0),s(tyop_2Emin_2Efun(A_27a,A_27b),V0g_2E0))))) ) ).

fof(thm_2EHolSmt_2Et006,axiom,
    ! [V0y_2E0,V1x_2E0] :
      ( s(tyop_2Einteger_2Eint,V1x_2E0) != s(tyop_2Einteger_2Eint,V0y_2E0)
      | p(s(tyop_2Emin_2Ebool,c_2Einteger_2Eint__le_2E2(s(tyop_2Einteger_2Eint,V1x_2E0),s(tyop_2Einteger_2Eint,V0y_2E0)))) ) ).

fof(thm_2EHolSmt_2Et007,axiom,
    ! [V0y_2E0,V1x_2E0] :
      ( s(tyop_2Einteger_2Eint,V1x_2E0) != s(tyop_2Einteger_2Eint,V0y_2E0)
      | p(s(tyop_2Emin_2Ebool,c_2Einteger_2Eint__ge_2E2(s(tyop_2Einteger_2Eint,V1x_2E0),s(tyop_2Einteger_2Eint,V0y_2E0)))) ) ).

fof(thm_2EHolSmt_2Et008,axiom,
    ! [V0y_2E0,V1x_2E0] :
      ( s(tyop_2Einteger_2Eint,V1x_2E0) != s(tyop_2Einteger_2Eint,V0y_2E0)
      | p(s(tyop_2Emin_2Ebool,c_2Einteger_2Eint__ge_2E2(s(tyop_2Einteger_2Eint,c_2Einteger_2Eint__add_2E2(s(tyop_2Einteger_2Eint,V1x_2E0),s(tyop_2Einteger_2Eint,c_2Einteger_2Eint__mul_2E2(s(tyop_2Einteger_2Eint,c_2Einteger_2Eint__neg_2E1(s(tyop_2Einteger_2Eint,c_2Einteger_2Eint__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_2Einteger_2Eint,V0y_2E0))))),s(tyop_2Einteger_2Eint,c_2Einteger_2Eint__of__num_2E1(s(tyop_2Enum_2Enum,c_2Enum_2E0_2E0)))))) ) ).

fof(thm_2EHolSmt_2Et009,axiom,
    ! [V0y_2E0,V1x_2E0] :
      ( s(tyop_2Einteger_2Eint,V1x_2E0) != s(tyop_2Einteger_2Eint,V0y_2E0)
      | p(s(tyop_2Emin_2Ebool,c_2Einteger_2Eint__le_2E2(s(tyop_2Einteger_2Eint,c_2Einteger_2Eint__add_2E2(s(tyop_2Einteger_2Eint,V1x_2E0),s(tyop_2Einteger_2Eint,c_2Einteger_2Eint__mul_2E2(s(tyop_2Einteger_2Eint,c_2Einteger_2Eint__neg_2E1(s(tyop_2Einteger_2Eint,c_2Einteger_2Eint__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_2Einteger_2Eint,V0y_2E0))))),s(tyop_2Einteger_2Eint,c_2Einteger_2Eint__of__num_2E1(s(tyop_2Enum_2Enum,c_2Enum_2E0_2E0)))))) ) ).

fof(thm_2EHolSmt_2Et010,axiom,
    ! [V0y_2E0,V1x_2E0] :
      ( s(tyop_2Einteger_2Eint,V1x_2E0) = s(tyop_2Einteger_2Eint,V0y_2E0)
      | ~ p(s(tyop_2Emin_2Ebool,c_2Einteger_2Eint__le_2E2(s(tyop_2Einteger_2Eint,V1x_2E0),s(tyop_2Einteger_2Eint,V0y_2E0))))
      | ~ p(s(tyop_2Emin_2Ebool,c_2Einteger_2Eint__ge_2E2(s(tyop_2Einteger_2Eint,V1x_2E0),s(tyop_2Einteger_2Eint,V0y_2E0)))) ) ).

fof(thm_2EHolSmt_2Et011,axiom,
    ! [V0x_2E0] :
      ( ~ p(s(tyop_2Emin_2Ebool,c_2Einteger_2Eint__le_2E2(s(tyop_2Einteger_2Eint,V0x_2E0),s(tyop_2Einteger_2Eint,c_2Einteger_2Eint__of__num_2E1(s(tyop_2Enum_2Enum,c_2Enum_2E0_2E0))))))
      | p(s(tyop_2Emin_2Ebool,c_2Einteger_2Eint__le_2E2(s(tyop_2Einteger_2Eint,V0x_2E0),s(tyop_2Einteger_2Eint,c_2Einteger_2Eint__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)))))))))) ) ).

fof(thm_2EHolSmt_2Et012,axiom,
    ! [V0x_2E0] :
      ( ~ p(s(tyop_2Emin_2Ebool,c_2Einteger_2Eint__le_2E2(s(tyop_2Einteger_2Eint,V0x_2E0),s(tyop_2Einteger_2Eint,c_2Einteger_2Eint__neg_2E1(s(tyop_2Einteger_2Eint,c_2Einteger_2Eint__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))))))))))))
      | p(s(tyop_2Emin_2Ebool,c_2Einteger_2Eint__le_2E2(s(tyop_2Einteger_2Eint,V0x_2E0),s(tyop_2Einteger_2Eint,c_2Einteger_2Eint__of__num_2E1(s(tyop_2Enum_2Enum,c_2Enum_2E0_2E0)))))) ) ).

fof(thm_2EHolSmt_2Et013,axiom,
    ! [V0x_2E0] :
      ( ~ p(s(tyop_2Emin_2Ebool,c_2Einteger_2Eint__ge_2E2(s(tyop_2Einteger_2Eint,V0x_2E0),s(tyop_2Einteger_2Eint,c_2Einteger_2Eint__of__num_2E1(s(tyop_2Enum_2Enum,c_2Enum_2E0_2E0))))))
      | p(s(tyop_2Emin_2Ebool,c_2Einteger_2Eint__ge_2E2(s(tyop_2Einteger_2Eint,V0x_2E0),s(tyop_2Einteger_2Eint,c_2Einteger_2Eint__neg_2E1(s(tyop_2Einteger_2Eint,c_2Einteger_2Eint__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)))))))))))) ) ).

fof(thm_2EHolSmt_2Et014,axiom,
    ! [V0x_2E0] :
      ( ~ p(s(tyop_2Emin_2Ebool,c_2Einteger_2Eint__ge_2E2(s(tyop_2Einteger_2Eint,V0x_2E0),s(tyop_2Einteger_2Eint,c_2Einteger_2Eint__of__num_2E1(s(tyop_2Enum_2Enum,c_2Enum_2E0_2E0))))))
      | ~ p(s(tyop_2Emin_2Ebool,c_2Einteger_2Eint__le_2E2(s(tyop_2Einteger_2Eint,V0x_2E0),s(tyop_2Einteger_2Eint,c_2Einteger_2Eint__neg_2E1(s(tyop_2Einteger_2Eint,c_2Einteger_2Eint__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)))))))))))) ) ).

fof(thm_2EHolSmt_2Et015,axiom,
    ! [V0y_2E0,V1x_2E0] :
      ( p(s(tyop_2Emin_2Ebool,c_2Einteger_2Eint__ge_2E2(s(tyop_2Einteger_2Eint,V1x_2E0),s(tyop_2Einteger_2Eint,V0y_2E0))))
      | p(s(tyop_2Emin_2Ebool,c_2Einteger_2Eint__le_2E2(s(tyop_2Einteger_2Eint,V1x_2E0),s(tyop_2Einteger_2Eint,V0y_2E0)))) ) ).

fof(thm_2EHolSmt_2Et016,axiom,
    ! [V0y_2E0,V1x_2E0] :
      ( s(tyop_2Erealax_2Ereal,V1x_2E0) != s(tyop_2Erealax_2Ereal,V0y_2E0)
      | p(s(tyop_2Emin_2Ebool,c_2Ereal_2Ereal__ge_2E2(s(tyop_2Erealax_2Ereal,c_2Erealax_2Ereal__add_2E2(s(tyop_2Erealax_2Ereal,V1x_2E0),s(tyop_2Erealax_2Ereal,c_2Erealax_2Ereal__mul_2E2(s(tyop_2Erealax_2Ereal,c_2Erealax_2Ereal__neg_2E1(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,V0y_2E0))))),s(tyop_2Erealax_2Ereal,c_2Ereal_2Ereal__of__num_2E1(s(tyop_2Enum_2Enum,c_2Enum_2E0_2E0)))))) ) ).

fof(thm_2EHolSmt_2Et017,axiom,
    ! [A_27a,V0x_2E0] : s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27a),V0x_2E0) != s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27a),c_2Ewords_2Eword__1comp_2E1(s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27a),V0x_2E0))) ).

fof(thm_2EHolSmt_2Et018,axiom,
    ! [A_27a,V0y_2E0,V1x_2E0,V2i_2E0] :
      ( s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27a),V1x_2E0) = s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27a),V0y_2E0)
     => ( p(s(tyop_2Emin_2Ebool,c_2Efcp_2Efcp__index_2E2(s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27a),V1x_2E0),s(tyop_2Enum_2Enum,V2i_2E0))))
       => p(s(tyop_2Emin_2Ebool,c_2Efcp_2Efcp__index_2E2(s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27a),V0y_2E0),s(tyop_2Enum_2Enum,V2i_2E0)))) ) ) ).

fof(thm_2EHolSmt_2Et019,axiom,
    ! [V0x_2E0] :
      ( s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,tyop_2Eone_2Eone),c_2Ewords_2En2w_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_2Efcp_2Ecart(tyop_2Emin_2Ebool,tyop_2Eone_2Eone),c_2Ewords_2Eword__1comp_2E1(s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,tyop_2Eone_2Eone),V0x_2E0)))
      | p(s(tyop_2Emin_2Ebool,c_2Efcp_2Efcp__index_2E2(s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,tyop_2Eone_2Eone),V0x_2E0),s(tyop_2Enum_2Enum,c_2Enum_2E0_2E0)))) ) ).

fof(thm_2EHolSmt_2Et020,axiom,
    ! [V0x_2E0] :
      ( p(s(tyop_2Emin_2Ebool,c_2Efcp_2Efcp__index_2E2(s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,tyop_2Eone_2Eone),V0x_2E0),s(tyop_2Enum_2Enum,c_2Enum_2E0_2E0))))
     => s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,tyop_2Eone_2Eone),c_2Ewords_2En2w_2E1(s(tyop_2Enum_2Enum,c_2Enum_2E0_2E0))) = s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,tyop_2Eone_2Eone),c_2Ewords_2Eword__1comp_2E1(s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,tyop_2Eone_2Eone),V0x_2E0))) ) ).

fof(thm_2EHolSmt_2Et021,axiom,
    ! [V0x_2E0] :
      ( p(s(tyop_2Emin_2Ebool,c_2Efcp_2Efcp__index_2E2(s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,tyop_2Eone_2Eone),V0x_2E0),s(tyop_2Enum_2Enum,c_2Enum_2E0_2E0))))
     => s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,tyop_2Eone_2Eone),c_2Ewords_2En2w_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_2Efcp_2Ecart(tyop_2Emin_2Ebool,tyop_2Eone_2Eone),V0x_2E0) ) ).

fof(thm_2EHolSmt_2Et022,axiom,
    ! [V0x_2E0] :
      ( ~ p(s(tyop_2Emin_2Ebool,c_2Efcp_2Efcp__index_2E2(s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,tyop_2Eone_2Eone),V0x_2E0),s(tyop_2Enum_2Enum,c_2Enum_2E0_2E0))))
     => s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,tyop_2Eone_2Eone),c_2Ewords_2En2w_2E1(s(tyop_2Enum_2Enum,c_2Enum_2E0_2E0))) = s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,tyop_2Eone_2Eone),V0x_2E0) ) ).

fof(thm_2EHolSmt_2Et023,axiom,
    ! [V0x_2E0] :
      ( ~ p(s(tyop_2Emin_2Ebool,c_2Efcp_2Efcp__index_2E2(s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,tyop_2Eone_2Eone),V0x_2E0),s(tyop_2Enum_2Enum,c_2Enum_2E0_2E0))))
     => s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,tyop_2Eone_2Eone),c_2Ewords_2En2w_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_2Efcp_2Ecart(tyop_2Emin_2Ebool,tyop_2Eone_2Eone),c_2Ewords_2Eword__1comp_2E1(s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,tyop_2Eone_2Eone),V0x_2E0))) ) ).

fof(thm_2EHolSmt_2Et024,axiom,
    ! [V0x_2E0] :
      ( s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,tyop_2Eone_2Eone),c_2Ewords_2En2w_2E1(s(tyop_2Enum_2Enum,c_2Enum_2E0_2E0))) = s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,tyop_2Eone_2Eone),c_2Ewords_2Eword__1comp_2E1(s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,tyop_2Eone_2Eone),V0x_2E0)))
      | ~ p(s(tyop_2Emin_2Ebool,c_2Efcp_2Efcp__index_2E2(s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,tyop_2Eone_2Eone),V0x_2E0),s(tyop_2Enum_2Enum,c_2Enum_2E0_2E0)))) ) ).

fof(thm_2EHolSmt_2Et025,axiom,
    ! [V0y_2E0,V1x_2E0] :
      ( s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,tyop_2Eone_2Eone),c_2Ewords_2En2w_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_2Efcp_2Ecart(tyop_2Emin_2Ebool,tyop_2Eone_2Eone),c_2Ewords_2Eword__or_2E2(s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,tyop_2Eone_2Eone),c_2Ewords_2Eword__1comp_2E1(s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,tyop_2Eone_2Eone),V1x_2E0))),s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,tyop_2Eone_2Eone),c_2Ewords_2Eword__1comp_2E1(s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,tyop_2Eone_2Eone),V0y_2E0)))))
      | ~ ( ~ p(s(tyop_2Emin_2Ebool,c_2Efcp_2Efcp__index_2E2(s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,tyop_2Eone_2Eone),V1x_2E0),s(tyop_2Enum_2Enum,c_2Enum_2E0_2E0))))
          | ~ p(s(tyop_2Emin_2Ebool,c_2Efcp_2Efcp__index_2E2(s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,tyop_2Eone_2Eone),V0y_2E0),s(tyop_2Enum_2Enum,c_2Enum_2E0_2E0)))) ) ) ).

fof(thm_2EHolSmt_2Et026,axiom,
    ! [V0x_2E0] :
      ( s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Eone_2Eone)))),c_2Ewords_2En2w_2E1(s(tyop_2Enum_2Enum,c_2Enum_2E0_2E0))) = s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Eone_2Eone)))),V0x_2E0)
      | p(s(tyop_2Emin_2Ebool,c_2Efcp_2Efcp__index_2E2(s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Eone_2Eone)))),V0x_2E0),s(tyop_2Enum_2Enum,c_2Enum_2E0_2E0))))
      | p(s(tyop_2Emin_2Ebool,c_2Efcp_2Efcp__index_2E2(s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Eone_2Eone)))),V0x_2E0),s(tyop_2Enum_2Enum,c_2Earithmetic_2ENUMERAL_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EBIT1_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EZERO_2E0))))))))
      | p(s(tyop_2Emin_2Ebool,c_2Efcp_2Efcp__index_2E2(s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Eone_2Eone)))),V0x_2E0),s(tyop_2Enum_2Enum,c_2Earithmetic_2ENUMERAL_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EBIT2_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EZERO_2E0))))))))
      | p(s(tyop_2Emin_2Ebool,c_2Efcp_2Efcp__index_2E2(s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Eone_2Eone)))),V0x_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_2EZERO_2E0))))))))))
      | p(s(tyop_2Emin_2Ebool,c_2Efcp_2Efcp__index_2E2(s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Eone_2Eone)))),V0x_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_2EZERO_2E0))))))))))
      | p(s(tyop_2Emin_2Ebool,c_2Efcp_2Efcp__index_2E2(s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Eone_2Eone)))),V0x_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_2EZERO_2E0))))))))))
      | p(s(tyop_2Emin_2Ebool,c_2Efcp_2Efcp__index_2E2(s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Eone_2Eone)))),V0x_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_2EZERO_2E0))))))))))
      | p(s(tyop_2Emin_2Ebool,c_2Efcp_2Efcp__index_2E2(s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Eone_2Eone)))),V0x_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_2EZERO_2E0)))))))))))) ) ).

fof(thm_2EHolSmt_2Et027,axiom,
    ! [V0x_2E0,V1p_2E0] :
      ( ( s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,tyop_2Eone_2Eone),V0x_2E0) = s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,tyop_2Eone_2Eone),c_2Ewords_2En2w_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)))))))
      <=> p(s(tyop_2Emin_2Ebool,V1p_2E0)) )
    <=> s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,tyop_2Eone_2Eone),V0x_2E0) = s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,tyop_2Eone_2Eone),c_2Ebool_2ECOND_2E3(s(tyop_2Emin_2Ebool,V1p_2E0),s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,tyop_2Eone_2Eone),c_2Ewords_2En2w_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_2Efcp_2Ecart(tyop_2Emin_2Ebool,tyop_2Eone_2Eone),c_2Ewords_2En2w_2E1(s(tyop_2Enum_2Enum,c_2Enum_2E0_2E0))))) ) ).

fof(thm_2EHolSmt_2Et028,axiom,
    ! [V0x_2E0,V1p_2E0] :
      ( ( s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,tyop_2Eone_2Eone),c_2Ewords_2En2w_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_2Efcp_2Ecart(tyop_2Emin_2Ebool,tyop_2Eone_2Eone),V0x_2E0)
      <=> p(s(tyop_2Emin_2Ebool,V1p_2E0)) )
    <=> s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,tyop_2Eone_2Eone),V0x_2E0) = s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,tyop_2Eone_2Eone),c_2Ebool_2ECOND_2E3(s(tyop_2Emin_2Ebool,V1p_2E0),s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,tyop_2Eone_2Eone),c_2Ewords_2En2w_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_2Efcp_2Ecart(tyop_2Emin_2Ebool,tyop_2Eone_2Eone),c_2Ewords_2En2w_2E1(s(tyop_2Enum_2Enum,c_2Enum_2E0_2E0))))) ) ).

fof(thm_2EHolSmt_2Et029,axiom,
    ! [V0x_2E0,V1p_2E0] :
      ( ( p(s(tyop_2Emin_2Ebool,V1p_2E0))
      <=> s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,tyop_2Eone_2Eone),V0x_2E0) = s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,tyop_2Eone_2Eone),c_2Ewords_2En2w_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_2Efcp_2Ecart(tyop_2Emin_2Ebool,tyop_2Eone_2Eone),V0x_2E0) = s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,tyop_2Eone_2Eone),c_2Ebool_2ECOND_2E3(s(tyop_2Emin_2Ebool,V1p_2E0),s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,tyop_2Eone_2Eone),c_2Ewords_2En2w_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_2Efcp_2Ecart(tyop_2Emin_2Ebool,tyop_2Eone_2Eone),c_2Ewords_2En2w_2E1(s(tyop_2Enum_2Enum,c_2Enum_2E0_2E0))))) ) ).

fof(thm_2EHolSmt_2Et030,axiom,
    ! [V0x_2E0,V1p_2E0] :
      ( ( p(s(tyop_2Emin_2Ebool,V1p_2E0))
      <=> s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,tyop_2Eone_2Eone),c_2Ewords_2En2w_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_2Efcp_2Ecart(tyop_2Emin_2Ebool,tyop_2Eone_2Eone),V0x_2E0) )
    <=> s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,tyop_2Eone_2Eone),V0x_2E0) = s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,tyop_2Eone_2Eone),c_2Ebool_2ECOND_2E3(s(tyop_2Emin_2Ebool,V1p_2E0),s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,tyop_2Eone_2Eone),c_2Ewords_2En2w_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_2Efcp_2Ecart(tyop_2Emin_2Ebool,tyop_2Eone_2Eone),c_2Ewords_2En2w_2E1(s(tyop_2Enum_2Enum,c_2Enum_2E0_2E0))))) ) ).

fof(thm_2EHolSmt_2Et031,axiom,
    ! [V0x_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_2Ewords_2En2w_2E1(s(tyop_2Enum_2Enum,c_2Enum_2E0_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_2Ewords_2Eword__mul_2E2(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_2Ewords_2En2w_2E1(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_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_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_2EBIT1_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EBIT1_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EZERO_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_2Ewords_2Esw2sw_2E1(s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Eone_2Eone)))),V0x_2E0)))))
     => ~ p(s(tyop_2Emin_2Ebool,c_2Efcp_2Efcp__index_2E2(s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Eone_2Eone)))),V0x_2E0),s(tyop_2Enum_2Enum,c_2Enum_2E0_2E0)))) ) ).

fof(thm_2EHolSmt_2Et032,axiom,
    ! [V0x_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_2Ewords_2En2w_2E1(s(tyop_2Enum_2Enum,c_2Enum_2E0_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_2Ewords_2Eword__mul_2E2(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_2Ewords_2En2w_2E1(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_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_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_2EBIT1_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EBIT1_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EZERO_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_2Ewords_2Esw2sw_2E1(s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Eone_2Eone)))),V0x_2E0)))))
     => ~ ( p(s(tyop_2Emin_2Ebool,c_2Efcp_2Efcp__index_2E2(s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Eone_2Eone)))),V0x_2E0),s(tyop_2Enum_2Enum,c_2Earithmetic_2ENUMERAL_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EBIT1_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EZERO_2E0))))))))
        <=> ~ p(s(tyop_2Emin_2Ebool,c_2Efcp_2Efcp__index_2E2(s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Eone_2Eone)))),V0x_2E0),s(tyop_2Enum_2Enum,c_2Enum_2E0_2E0)))) ) ) ).

fof(thm_2EHolSmt_2Et033,axiom,
    ! [V0x_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_2Ewords_2En2w_2E1(s(tyop_2Enum_2Enum,c_2Enum_2E0_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_2Ewords_2Eword__mul_2E2(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_2Ewords_2En2w_2E1(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_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_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_2EBIT1_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EBIT1_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EZERO_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_2Ewords_2Esw2sw_2E1(s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Eone_2Eone)))),V0x_2E0)))))
     => ~ ( p(s(tyop_2Emin_2Ebool,c_2Efcp_2Efcp__index_2E2(s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Eone_2Eone)))),V0x_2E0),s(tyop_2Enum_2Enum,c_2Earithmetic_2ENUMERAL_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EBIT2_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EZERO_2E0))))))))
        <=> ( ~ p(s(tyop_2Emin_2Ebool,c_2Efcp_2Efcp__index_2E2(s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Eone_2Eone)))),V0x_2E0),s(tyop_2Enum_2Enum,c_2Enum_2E0_2E0))))
            & ~ p(s(tyop_2Emin_2Ebool,c_2Efcp_2Efcp__index_2E2(s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Eone_2Eone)))),V0x_2E0),s(tyop_2Enum_2Enum,c_2Earithmetic_2ENUMERAL_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EBIT1_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EZERO_2E0)))))))) ) ) ) ).

fof(thm_2EHolSmt_2Et034,axiom,
    ! [A_27a,V0y_2E0,V1x_2E0] :
      ( s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27a),c_2Ewords_2Eword__add_2E2(s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27a),c_2Ewords_2En2w_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_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27a),V1x_2E0))) = s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27a),V0y_2E0)
     => ( p(s(tyop_2Emin_2Ebool,c_2Efcp_2Efcp__index_2E2(s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27a),V1x_2E0),s(tyop_2Enum_2Enum,c_2Enum_2E0_2E0))))
       => ~ p(s(tyop_2Emin_2Ebool,c_2Efcp_2Efcp__index_2E2(s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27a),V0y_2E0),s(tyop_2Enum_2Enum,c_2Enum_2E0_2E0)))) ) ) ).

fof(thm_2EHolSmt_2Et035,axiom,
    ! [V0x_2E0] :
      ( s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,tyop_2Eone_2Eone),c_2Ewords_2En2w_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_2Efcp_2Ecart(tyop_2Emin_2Ebool,tyop_2Eone_2Eone),V0x_2E0)
      | s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,tyop_2Eone_2Eone),c_2Ewords_2Eword__extract_2E3(s(tyop_2Enum_2Enum,c_2Enum_2E0_2E0),s(tyop_2Enum_2Enum,c_2Enum_2E0_2E0),s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,tyop_2Eone_2Eone),V0x_2E0))) != s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,tyop_2Eone_2Eone),c_2Ewords_2En2w_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))))))) ) ).

fof(thm_2EHolSmt_2Ep001,axiom,
    ! [A_27a] : p(s(tyop_2Emin_2Ebool,c_2Eprim__rec_2E_3C_2E2(s(tyop_2Enum_2Enum,c_2Enum_2E0_2E0),s(tyop_2Enum_2Enum,c_2Ewords_2Edimword_2E1(s(tyop_2Ebool_2Eitself(A_27a),c_2Ebool_2Ethe__value_2E0)))))) ).

fof(thm_2EHolSmt_2Ep002,axiom,
    ! [A_27a] : p(s(tyop_2Emin_2Ebool,c_2Eprim__rec_2E_3C_2E2(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_2Enum_2Enum,c_2Ewords_2Edimword_2E1(s(tyop_2Ebool_2Eitself(A_27a),c_2Ebool_2Ethe__value_2E0)))))) ).

fof(thm_2EHolSmt_2Ep003,axiom,
    p(s(tyop_2Emin_2Ebool,c_2Eprim__rec_2E_3C_2E2(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_2EZERO_2E0))))))))))))))))))),s(tyop_2Enum_2Enum,c_2Ewords_2Edimword_2E1(s(tyop_2Ebool_2Eitself(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Eone_2Eone)))),c_2Ebool_2Ethe__value_2E0)))))) ).

fof(thm_2EHolSmt_2Ep004,axiom,
    p(s(tyop_2Emin_2Ebool,c_2Epred__set_2EFINITE_2E1(s(tyop_2Emin_2Efun(tyop_2Eone_2Eone,tyop_2Emin_2Ebool),c_2Epred__set_2EUNIV_2E0)))) ).

fof(thm_2EHolSmt_2Ep005,axiom,
    p(s(tyop_2Emin_2Ebool,c_2Epred__set_2EFINITE_2E1(s(tyop_2Emin_2Efun(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Eone_2Eone)))),tyop_2Emin_2Ebool),c_2Epred__set_2EUNIV_2E0)))) ).

fof(thm_2EHolSmt_2Ep006,axiom,
    p(s(tyop_2Emin_2Ebool,c_2Epred__set_2EFINITE_2E1(s(tyop_2Emin_2Efun(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit1(tyop_2Eone_2Eone)))),tyop_2Emin_2Ebool),c_2Epred__set_2EUNIV_2E0)))) ).

fof(thm_2EHolSmt_2Ep007,axiom,
    p(s(tyop_2Emin_2Ebool,c_2Epred__set_2EFINITE_2E1(s(tyop_2Emin_2Efun(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit1(tyop_2Efcp_2Ebit1(tyop_2Efcp_2Ebit1(tyop_2Eone_2Eone)))),tyop_2Emin_2Ebool),c_2Epred__set_2EUNIV_2E0)))) ).

fof(thm_2EHolSmt_2Ep008,axiom,
    p(s(tyop_2Emin_2Ebool,c_2Epred__set_2EFINITE_2E1(s(tyop_2Emin_2Efun(tyop_2Efcp_2Ebit1(tyop_2Efcp_2Ebit1(tyop_2Efcp_2Ebit1(tyop_2Efcp_2Ebit1(tyop_2Eone_2Eone)))),tyop_2Emin_2Ebool),c_2Epred__set_2EUNIV_2E0)))) ).

fof(thm_2EHolSmt_2Ep009,axiom,
    p(s(tyop_2Emin_2Ebool,c_2Earithmetic_2E_3C_3D_2E2(s(tyop_2Enum_2Enum,c_2Efcp_2Edimindex_2E1(s(tyop_2Ebool_2Eitself(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Eone_2Eone)))),c_2Ebool_2Ethe__value_2E0))),s(tyop_2Enum_2Enum,c_2Efcp_2Edimindex_2E1(s(tyop_2Ebool_2Eitself(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Efcp_2Ebit0(tyop_2Eone_2Eone)))))),c_2Ebool_2Ethe__value_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) ) ).

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