ITP001 Axioms: ITP094+4.ax
%------------------------------------------------------------------------------
% File : ITP094+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 : bitstring.ax [Gau19]
% : HL4094+4.ax [TPAP]
% Status : Satisfiable
% Syntax : Number of formulae : 356 ( 288 unt; 0 def)
% Number of atoms : 529 ( 421 equ)
% Maximal formula atoms : 34 ( 1 avg)
% Number of connectives : 184 ( 11 ~; 6 |; 77 &)
% ( 37 <=>; 53 =>; 0 <=; 0 <~>)
% Maximal formula depth : 49 ( 4 avg)
% Maximal term depth : 18 ( 3 avg)
% Number of predicates : 2 ( 1 usr; 0 prp; 1-2 aty)
% Number of functors : 280 ( 280 usr; 142 con; 0-3 aty)
% Number of variables : 1065 (1062 !; 3 ?)
% 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_2Emarker_2EAbbrev_2E1,axiom,
! [X0_2E0] : s(tyop_2Emin_2Ebool,c_2Emarker_2EAbbrev_2E1(s(tyop_2Emin_2Ebool,X0_2E0))) = s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool),c_2Emarker_2EAbbrev_2E0),s(tyop_2Emin_2Ebool,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_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(arityeq1_2Ec_2Estring_2ECHR_2E1,axiom,
! [X0_2E0] : s(tyop_2Estring_2Echar,c_2Estring_2ECHR_2E1(s(tyop_2Enum_2Enum,X0_2E0))) = s(tyop_2Estring_2Echar,app_2E2(s(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Estring_2Echar),c_2Estring_2ECHR_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_2Efcp_2EFCP_2E1_2Emono_2Etyop_2Emin_2Ebool_20mono_2EA_27a,axiom,
! [A_27a,X0_2E0] : s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27a),c_2Efcp_2EFCP_2E1(s(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),X0_2E0))) = s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27a),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27a)),c_2Efcp_2EFCP_2E0),s(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),X0_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_2EA_27b,axiom,
! [A_27b,X0_2E0] : s(tyop_2Emin_2Ebool,c_2Epred__set_2EFINITE_2E1(s(tyop_2Emin_2Efun(A_27b,tyop_2Emin_2Ebool),X0_2E0))) = s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(A_27b,tyop_2Emin_2Ebool),tyop_2Emin_2Ebool),c_2Epred__set_2EFINITE_2E0),s(tyop_2Emin_2Efun(A_27b,tyop_2Emin_2Ebool),X0_2E0))) ).
fof(arityeq1_2Ec_2Elist_2EFLAT_2E1_2Emono_2Etyop_2Emin_2Ebool,axiom,
! [X0_2E0] : s(tyop_2Elist_2Elist(tyop_2Emin_2Ebool),c_2Elist_2EFLAT_2E1(s(tyop_2Elist_2Elist(tyop_2Elist_2Elist(tyop_2Emin_2Ebool)),X0_2E0))) = s(tyop_2Elist_2Elist(tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Elist_2Elist(tyop_2Elist_2Elist(tyop_2Emin_2Ebool)),tyop_2Elist_2Elist(tyop_2Emin_2Ebool)),c_2Elist_2EFLAT_2E0),s(tyop_2Elist_2Elist(tyop_2Elist_2Elist(tyop_2Emin_2Ebool)),X0_2E0))) ).
fof(arityeq2_2Ec_2Elist_2EGENLIST_2E2_2Emono_2Etyop_2Elist_2Elist_28tyop_2Emin_2Ebool_29,axiom,
! [X0_2E0,X1_2E0] : s(tyop_2Elist_2Elist(tyop_2Elist_2Elist(tyop_2Emin_2Ebool)),c_2Elist_2EGENLIST_2E2(s(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Elist_2Elist(tyop_2Emin_2Ebool)),X0_2E0),s(tyop_2Enum_2Enum,X1_2E0))) = s(tyop_2Elist_2Elist(tyop_2Elist_2Elist(tyop_2Emin_2Ebool)),app_2E2(s(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Elist_2Elist(tyop_2Elist_2Elist(tyop_2Emin_2Ebool))),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Elist_2Elist(tyop_2Emin_2Ebool)),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Elist_2Elist(tyop_2Elist_2Elist(tyop_2Emin_2Ebool)))),c_2Elist_2EGENLIST_2E0),s(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Elist_2Elist(tyop_2Emin_2Ebool)),X0_2E0))),s(tyop_2Enum_2Enum,X1_2E0))) ).
fof(arityeq1_2Ec_2Ecombin_2EK_2E1_2Emono_2Etyop_2Elist_2Elist_28tyop_2Emin_2Ebool_29_20mono_2Etyop_2Enum_2Enum,axiom,
! [X0_2E0] : s(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Elist_2Elist(tyop_2Emin_2Ebool)),c_2Ecombin_2EK_2E1(s(tyop_2Elist_2Elist(tyop_2Emin_2Ebool),X0_2E0))) = s(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Elist_2Elist(tyop_2Emin_2Ebool)),app_2E2(s(tyop_2Emin_2Efun(tyop_2Elist_2Elist(tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Elist_2Elist(tyop_2Emin_2Ebool))),c_2Ecombin_2EK_2E0),s(tyop_2Elist_2Elist(tyop_2Emin_2Ebool),X0_2E0))) ).
fof(arityeq1_2Ec_2Elist_2ELAST_2E1_2Emono_2Etyop_2Emin_2Ebool,axiom,
! [X0_2E0] : s(tyop_2Emin_2Ebool,c_2Elist_2ELAST_2E1(s(tyop_2Elist_2Elist(tyop_2Emin_2Ebool),X0_2E0))) = s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(tyop_2Elist_2Elist(tyop_2Emin_2Ebool),tyop_2Emin_2Ebool),c_2Elist_2ELAST_2E0),s(tyop_2Elist_2Elist(tyop_2Emin_2Ebool),X0_2E0))) ).
fof(arityeq1_2Ec_2Elist_2ELENGTH_2E1_2Emono_2EA_27a,axiom,
! [A_27a,X0_2E0] : s(tyop_2Enum_2Enum,c_2Elist_2ELENGTH_2E1(s(tyop_2Elist_2Elist(A_27a),X0_2E0))) = s(tyop_2Enum_2Enum,app_2E2(s(tyop_2Emin_2Efun(tyop_2Elist_2Elist(A_27a),tyop_2Enum_2Enum),c_2Elist_2ELENGTH_2E0),s(tyop_2Elist_2Elist(A_27a),X0_2E0))) ).
fof(arityeq2_2Ec_2Ebitstring_2Esign__extend_2E2_2Emono_2EA_27a,axiom,
! [A_27a,X0_2E0,X1_2E0] : s(tyop_2Elist_2Elist(A_27a),c_2Ebitstring_2Esign__extend_2E2(s(tyop_2Enum_2Enum,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(tyop_2Enum_2Enum,tyop_2Emin_2Efun(tyop_2Elist_2Elist(A_27a),tyop_2Elist_2Elist(A_27a))),c_2Ebitstring_2Esign__extend_2E0),s(tyop_2Enum_2Enum,X0_2E0))),s(tyop_2Elist_2Elist(A_27a),X1_2E0))) ).
fof(arityeq3_2Ec_2Elist_2EPAD__LEFT_2E3_2Emono_2EA_27a,axiom,
! [A_27a,X0_2E0,X1_2E0,X2_2E0] : s(tyop_2Elist_2Elist(A_27a),c_2Elist_2EPAD__LEFT_2E3(s(A_27a,X0_2E0),s(tyop_2Enum_2Enum,X1_2E0),s(tyop_2Elist_2Elist(A_27a),X2_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(tyop_2Enum_2Enum,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_2Enum_2Enum,tyop_2Emin_2Efun(tyop_2Elist_2Elist(A_27a),tyop_2Elist_2Elist(A_27a)))),c_2Elist_2EPAD__LEFT_2E0),s(A_27a,X0_2E0))),s(tyop_2Enum_2Enum,X1_2E0))),s(tyop_2Elist_2Elist(A_27a),X2_2E0))) ).
fof(arityeq3_2Ec_2Elist_2EPAD__RIGHT_2E3_2Emono_2EA_27a,axiom,
! [A_27a,X0_2E0,X1_2E0,X2_2E0] : s(tyop_2Elist_2Elist(A_27a),c_2Elist_2EPAD__RIGHT_2E3(s(A_27a,X0_2E0),s(tyop_2Enum_2Enum,X1_2E0),s(tyop_2Elist_2Elist(A_27a),X2_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(tyop_2Enum_2Enum,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_2Enum_2Enum,tyop_2Emin_2Efun(tyop_2Elist_2Elist(A_27a),tyop_2Elist_2Elist(A_27a)))),c_2Elist_2EPAD__RIGHT_2E0),s(A_27a,X0_2E0))),s(tyop_2Enum_2Enum,X1_2E0))),s(tyop_2Elist_2Elist(A_27a),X2_2E0))) ).
fof(arityeq1_2Ec_2Elist_2ELENGTH_2E1_2Emono_2Etyop_2Emin_2Ebool,axiom,
! [X0_2E0] : s(tyop_2Enum_2Enum,c_2Elist_2ELENGTH_2E1(s(tyop_2Elist_2Elist(tyop_2Emin_2Ebool),X0_2E0))) = s(tyop_2Enum_2Enum,app_2E2(s(tyop_2Emin_2Efun(tyop_2Elist_2Elist(tyop_2Emin_2Ebool),tyop_2Enum_2Enum),c_2Elist_2ELENGTH_2E0),s(tyop_2Elist_2Elist(tyop_2Emin_2Ebool),X0_2E0))) ).
fof(arityeq1_2Ec_2Ebitstring_2Ew2v_2E1_2Emono_2EA_27a,axiom,
! [A_27a,X0_2E0] : s(tyop_2Elist_2Elist(tyop_2Emin_2Ebool),c_2Ebitstring_2Ew2v_2E1(s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27a),X0_2E0))) = s(tyop_2Elist_2Elist(tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27a),tyop_2Elist_2Elist(tyop_2Emin_2Ebool)),c_2Ebitstring_2Ew2v_2E0),s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27a),X0_2E0))) ).
fof(arityeq2_2Ec_2Ebitstring_2Efixwidth_2E2,axiom,
! [X0_2E0,X1_2E0] : s(tyop_2Elist_2Elist(tyop_2Emin_2Ebool),c_2Ebitstring_2Efixwidth_2E2(s(tyop_2Enum_2Enum,X0_2E0),s(tyop_2Elist_2Elist(tyop_2Emin_2Ebool),X1_2E0))) = s(tyop_2Elist_2Elist(tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Elist_2Elist(tyop_2Emin_2Ebool),tyop_2Elist_2Elist(tyop_2Emin_2Ebool)),app_2E2(s(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Efun(tyop_2Elist_2Elist(tyop_2Emin_2Ebool),tyop_2Elist_2Elist(tyop_2Emin_2Ebool))),c_2Ebitstring_2Efixwidth_2E0),s(tyop_2Enum_2Enum,X0_2E0))),s(tyop_2Elist_2Elist(tyop_2Emin_2Ebool),X1_2E0))) ).
fof(arityeq2_2Ec_2Ebitstring_2Erotate_2E2,axiom,
! [X0_2E0,X1_2E0] : s(tyop_2Elist_2Elist(tyop_2Emin_2Ebool),c_2Ebitstring_2Erotate_2E2(s(tyop_2Elist_2Elist(tyop_2Emin_2Ebool),X0_2E0),s(tyop_2Enum_2Enum,X1_2E0))) = s(tyop_2Elist_2Elist(tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Elist_2Elist(tyop_2Emin_2Ebool)),app_2E2(s(tyop_2Emin_2Efun(tyop_2Elist_2Elist(tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Elist_2Elist(tyop_2Emin_2Ebool))),c_2Ebitstring_2Erotate_2E0),s(tyop_2Elist_2Elist(tyop_2Emin_2Ebool),X0_2E0))),s(tyop_2Enum_2Enum,X1_2E0))) ).
fof(arityeq2_2Ec_2Ebitstring_2Eshiftr_2E2,axiom,
! [X0_2E0,X1_2E0] : s(tyop_2Elist_2Elist(tyop_2Emin_2Ebool),c_2Ebitstring_2Eshiftr_2E2(s(tyop_2Elist_2Elist(tyop_2Emin_2Ebool),X0_2E0),s(tyop_2Enum_2Enum,X1_2E0))) = s(tyop_2Elist_2Elist(tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Elist_2Elist(tyop_2Emin_2Ebool)),app_2E2(s(tyop_2Emin_2Efun(tyop_2Elist_2Elist(tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Elist_2Elist(tyop_2Emin_2Ebool))),c_2Ebitstring_2Eshiftr_2E0),s(tyop_2Elist_2Elist(tyop_2Emin_2Ebool),X0_2E0))),s(tyop_2Enum_2Enum,X1_2E0))) ).
fof(arityeq2_2Ec_2Ebitstring_2Ezero__extend_2E2,axiom,
! [X0_2E0,X1_2E0] : s(tyop_2Elist_2Elist(tyop_2Emin_2Ebool),c_2Ebitstring_2Ezero__extend_2E2(s(tyop_2Enum_2Enum,X0_2E0),s(tyop_2Elist_2Elist(tyop_2Emin_2Ebool),X1_2E0))) = s(tyop_2Elist_2Elist(tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Elist_2Elist(tyop_2Emin_2Ebool),tyop_2Elist_2Elist(tyop_2Emin_2Ebool)),app_2E2(s(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Efun(tyop_2Elist_2Elist(tyop_2Emin_2Ebool),tyop_2Elist_2Elist(tyop_2Emin_2Ebool))),c_2Ebitstring_2Ezero__extend_2E0),s(tyop_2Enum_2Enum,X0_2E0))),s(tyop_2Elist_2Elist(tyop_2Emin_2Ebool),X1_2E0))) ).
fof(arityeq3_2Ec_2Ebitstring_2Efield_2E3,axiom,
! [X0_2E0,X1_2E0,X2_2E0] : s(tyop_2Elist_2Elist(tyop_2Emin_2Ebool),c_2Ebitstring_2Efield_2E3(s(tyop_2Enum_2Enum,X0_2E0),s(tyop_2Enum_2Enum,X1_2E0),s(tyop_2Elist_2Elist(tyop_2Emin_2Ebool),X2_2E0))) = s(tyop_2Elist_2Elist(tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Elist_2Elist(tyop_2Emin_2Ebool),tyop_2Elist_2Elist(tyop_2Emin_2Ebool)),app_2E2(s(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Efun(tyop_2Elist_2Elist(tyop_2Emin_2Ebool),tyop_2Elist_2Elist(tyop_2Emin_2Ebool))),app_2E2(s(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Efun(tyop_2Elist_2Elist(tyop_2Emin_2Ebool),tyop_2Elist_2Elist(tyop_2Emin_2Ebool)))),c_2Ebitstring_2Efield_2E0),s(tyop_2Enum_2Enum,X0_2E0))),s(tyop_2Enum_2Enum,X1_2E0))),s(tyop_2Elist_2Elist(tyop_2Emin_2Ebool),X2_2E0))) ).
fof(arityeq1_2Ec_2Elist_2ELENGTH_2E1_2Emono_2Etyop_2Enum_2Enum,axiom,
! [X0_2E0] : s(tyop_2Enum_2Enum,c_2Elist_2ELENGTH_2E1(s(tyop_2Elist_2Elist(tyop_2Enum_2Enum),X0_2E0))) = s(tyop_2Enum_2Enum,app_2E2(s(tyop_2Emin_2Efun(tyop_2Elist_2Elist(tyop_2Enum_2Enum),tyop_2Enum_2Enum),c_2Elist_2ELENGTH_2E0),s(tyop_2Elist_2Elist(tyop_2Enum_2Enum),X0_2E0))) ).
fof(arityeq1_2Ec_2Ebitstring_2Erev__count__list_2E1,axiom,
! [X0_2E0] : s(tyop_2Elist_2Elist(tyop_2Enum_2Enum),c_2Ebitstring_2Erev__count__list_2E1(s(tyop_2Enum_2Enum,X0_2E0))) = s(tyop_2Elist_2Elist(tyop_2Enum_2Enum),app_2E2(s(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Elist_2Elist(tyop_2Enum_2Enum)),c_2Ebitstring_2Erev__count__list_2E0),s(tyop_2Enum_2Enum,X0_2E0))) ).
fof(arityeq2_2Ec_2Ebitstring_2Ebitify_2E2,axiom,
! [X0_2E0,X1_2E0] : s(tyop_2Elist_2Elist(tyop_2Enum_2Enum),c_2Ebitstring_2Ebitify_2E2(s(tyop_2Elist_2Elist(tyop_2Enum_2Enum),X0_2E0),s(tyop_2Elist_2Elist(tyop_2Emin_2Ebool),X1_2E0))) = s(tyop_2Elist_2Elist(tyop_2Enum_2Enum),app_2E2(s(tyop_2Emin_2Efun(tyop_2Elist_2Elist(tyop_2Emin_2Ebool),tyop_2Elist_2Elist(tyop_2Enum_2Enum)),app_2E2(s(tyop_2Emin_2Efun(tyop_2Elist_2Elist(tyop_2Enum_2Enum),tyop_2Emin_2Efun(tyop_2Elist_2Elist(tyop_2Emin_2Ebool),tyop_2Elist_2Elist(tyop_2Enum_2Enum))),c_2Ebitstring_2Ebitify_2E0),s(tyop_2Elist_2Elist(tyop_2Enum_2Enum),X0_2E0))),s(tyop_2Elist_2Elist(tyop_2Emin_2Ebool),X1_2E0))) ).
fof(arityeq1_2Ec_2Elist_2EMAP_2E1_2Emono_2Etyop_2Emin_2Ebool_20mono_2Etyop_2Emin_2Ebool,axiom,
! [X0_2E0] : s(tyop_2Emin_2Efun(tyop_2Elist_2Elist(tyop_2Emin_2Ebool),tyop_2Elist_2Elist(tyop_2Emin_2Ebool)),c_2Elist_2EMAP_2E1(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool),X0_2E0))) = s(tyop_2Emin_2Efun(tyop_2Elist_2Elist(tyop_2Emin_2Ebool),tyop_2Elist_2Elist(tyop_2Emin_2Ebool)),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Elist_2Elist(tyop_2Emin_2Ebool),tyop_2Elist_2Elist(tyop_2Emin_2Ebool))),c_2Elist_2EMAP_2E0),s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool),X0_2E0))) ).
fof(arityeq1_2Ec_2Elist_2EMAP_2E1_2Emono_2Etyop_2Emin_2Ebool_20mono_2Etyop_2Estring_2Echar,axiom,
! [X0_2E0] : s(tyop_2Emin_2Efun(tyop_2Elist_2Elist(tyop_2Emin_2Ebool),tyop_2Elist_2Elist(tyop_2Estring_2Echar)),c_2Elist_2EMAP_2E1(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Estring_2Echar),X0_2E0))) = s(tyop_2Emin_2Efun(tyop_2Elist_2Elist(tyop_2Emin_2Ebool),tyop_2Elist_2Elist(tyop_2Estring_2Echar)),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Estring_2Echar),tyop_2Emin_2Efun(tyop_2Elist_2Elist(tyop_2Emin_2Ebool),tyop_2Elist_2Elist(tyop_2Estring_2Echar))),c_2Elist_2EMAP_2E0),s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Estring_2Echar),X0_2E0))) ).
fof(arityeq1_2Ec_2Elist_2EMAP_2E1_2Emono_2Etyop_2Estring_2Echar_20mono_2Etyop_2Emin_2Ebool,axiom,
! [X0_2E0] : s(tyop_2Emin_2Efun(tyop_2Elist_2Elist(tyop_2Estring_2Echar),tyop_2Elist_2Elist(tyop_2Emin_2Ebool)),c_2Elist_2EMAP_2E1(s(tyop_2Emin_2Efun(tyop_2Estring_2Echar,tyop_2Emin_2Ebool),X0_2E0))) = s(tyop_2Emin_2Efun(tyop_2Elist_2Elist(tyop_2Estring_2Echar),tyop_2Elist_2Elist(tyop_2Emin_2Ebool)),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Estring_2Echar,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Elist_2Elist(tyop_2Estring_2Echar),tyop_2Elist_2Elist(tyop_2Emin_2Ebool))),c_2Elist_2EMAP_2E0),s(tyop_2Emin_2Efun(tyop_2Estring_2Echar,tyop_2Emin_2Ebool),X0_2E0))) ).
fof(arityeq1_2Ec_2Elist_2ENULL_2E1_2Emono_2Etyop_2Emin_2Ebool,axiom,
! [X0_2E0] : s(tyop_2Emin_2Ebool,c_2Elist_2ENULL_2E1(s(tyop_2Elist_2Elist(tyop_2Emin_2Ebool),X0_2E0))) = s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(tyop_2Elist_2Elist(tyop_2Emin_2Ebool),tyop_2Emin_2Ebool),c_2Elist_2ENULL_2E0),s(tyop_2Elist_2Elist(tyop_2Emin_2Ebool),X0_2E0))) ).
fof(arityeq1_2Ec_2Enum_2ESUC_2E1,axiom,
! [X0_2E0] : s(tyop_2Enum_2Enum,c_2Enum_2ESUC_2E1(s(tyop_2Enum_2Enum,X0_2E0))) = s(tyop_2Enum_2Enum,app_2E2(s(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Enum_2Enum),c_2Enum_2ESUC_2E0),s(tyop_2Enum_2Enum,X0_2E0))) ).
fof(arityeq1_2Ec_2Ebitstring_2Ebitwise_2E1,axiom,
! [X0_2E0] : s(tyop_2Emin_2Efun(tyop_2Elist_2Elist(tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Elist_2Elist(tyop_2Emin_2Ebool),tyop_2Elist_2Elist(tyop_2Emin_2Ebool))),c_2Ebitstring_2Ebitwise_2E1(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool)),X0_2E0))) = s(tyop_2Emin_2Efun(tyop_2Elist_2Elist(tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Elist_2Elist(tyop_2Emin_2Ebool),tyop_2Elist_2Elist(tyop_2Emin_2Ebool))),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool)),tyop_2Emin_2Efun(tyop_2Elist_2Elist(tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Elist_2Elist(tyop_2Emin_2Ebool),tyop_2Elist_2Elist(tyop_2Emin_2Ebool)))),c_2Ebitstring_2Ebitwise_2E0),s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool)),X0_2E0))) ).
fof(arityeq1_2Ec_2Efcp_2Edimindex_2E1_2Emono_2EA_27a,axiom,
! [A_27a,X0_2E0] : s(tyop_2Enum_2Enum,c_2Efcp_2Edimindex_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_2Efcp_2Edimindex_2E0),s(tyop_2Ebool_2Eitself(A_27a),X0_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_2Ebitstring_2Emodify_2E1,axiom,
! [X0_2E0] : s(tyop_2Emin_2Efun(tyop_2Elist_2Elist(tyop_2Emin_2Ebool),tyop_2Elist_2Elist(tyop_2Emin_2Ebool)),c_2Ebitstring_2Emodify_2E1(s(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool)),X0_2E0))) = s(tyop_2Emin_2Efun(tyop_2Elist_2Elist(tyop_2Emin_2Ebool),tyop_2Elist_2Elist(tyop_2Emin_2Ebool)),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool)),tyop_2Emin_2Efun(tyop_2Elist_2Elist(tyop_2Emin_2Ebool),tyop_2Elist_2Elist(tyop_2Emin_2Ebool))),c_2Ebitstring_2Emodify_2E0),s(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool)),X0_2E0))) ).
fof(arityeq1_2Ec_2Ebitstring_2En2v_2E1,axiom,
! [X0_2E0] : s(tyop_2Elist_2Elist(tyop_2Emin_2Ebool),c_2Ebitstring_2En2v_2E1(s(tyop_2Enum_2Enum,X0_2E0))) = s(tyop_2Elist_2Elist(tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Elist_2Elist(tyop_2Emin_2Ebool)),c_2Ebitstring_2En2v_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_2Ebitstring_2Ev2n_2E1,axiom,
! [X0_2E0] : s(tyop_2Enum_2Enum,c_2Ebitstring_2Ev2n_2E1(s(tyop_2Elist_2Elist(tyop_2Emin_2Ebool),X0_2E0))) = s(tyop_2Enum_2Enum,app_2E2(s(tyop_2Emin_2Efun(tyop_2Elist_2Elist(tyop_2Emin_2Ebool),tyop_2Enum_2Enum),c_2Ebitstring_2Ev2n_2E0),s(tyop_2Elist_2Elist(tyop_2Emin_2Ebool),X0_2E0))) ).
fof(arityeq1_2Ec_2Enumposrep_2Enum__from__bin__list_2E1,axiom,
! [X0_2E0] : s(tyop_2Enum_2Enum,c_2Enumposrep_2Enum__from__bin__list_2E1(s(tyop_2Elist_2Elist(tyop_2Enum_2Enum),X0_2E0))) = s(tyop_2Enum_2Enum,app_2E2(s(tyop_2Emin_2Efun(tyop_2Elist_2Elist(tyop_2Enum_2Enum),tyop_2Enum_2Enum),c_2Enumposrep_2Enum__from__bin__list_2E0),s(tyop_2Elist_2Elist(tyop_2Enum_2Enum),X0_2E0))) ).
fof(arityeq1_2Ec_2Ewords_2Ereduce__and_2E1_2Emono_2EA_27a,axiom,
! [A_27a,X0_2E0] : s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,tyop_2Eone_2Eone),c_2Ewords_2Ereduce__and_2E1(s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27a),X0_2E0))) = s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,tyop_2Eone_2Eone),app_2E2(s(tyop_2Emin_2Efun(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27a),tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,tyop_2Eone_2Eone)),c_2Ewords_2Ereduce__and_2E0),s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27a),X0_2E0))) ).
fof(arityeq1_2Ec_2Ebitstring_2Ev2w_2E1_2Emono_2EA_27a,axiom,
! [A_27a,X0_2E0] : s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27a),c_2Ebitstring_2Ev2w_2E1(s(tyop_2Elist_2Elist(tyop_2Emin_2Ebool),X0_2E0))) = s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27a),app_2E2(s(tyop_2Emin_2Efun(tyop_2Elist_2Elist(tyop_2Emin_2Ebool),tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27a)),c_2Ebitstring_2Ev2w_2E0),s(tyop_2Elist_2Elist(tyop_2Emin_2Ebool),X0_2E0))) ).
fof(arityeq1_2Ec_2Ewords_2Ereduce__or_2E1_2Emono_2EA_27a,axiom,
! [A_27a,X0_2E0] : s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,tyop_2Eone_2Eone),c_2Ewords_2Ereduce__or_2E1(s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27a),X0_2E0))) = s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,tyop_2Eone_2Eone),app_2E2(s(tyop_2Emin_2Efun(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27a),tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,tyop_2Eone_2Eone)),c_2Ewords_2Ereduce__or_2E0),s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27a),X0_2E0))) ).
fof(arityeq1_2Ec_2Ewords_2Esw2sw_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_2Esw2sw_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_2Esw2sw_2E0),s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27a),X0_2E0))) ).
fof(arityeq1_2Ec_2Elist_2EREVERSE_2E1_2Emono_2Etyop_2Emin_2Ebool,axiom,
! [X0_2E0] : s(tyop_2Elist_2Elist(tyop_2Emin_2Ebool),c_2Elist_2EREVERSE_2E1(s(tyop_2Elist_2Elist(tyop_2Emin_2Ebool),X0_2E0))) = s(tyop_2Elist_2Elist(tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Elist_2Elist(tyop_2Emin_2Ebool),tyop_2Elist_2Elist(tyop_2Emin_2Ebool)),c_2Elist_2EREVERSE_2E0),s(tyop_2Elist_2Elist(tyop_2Emin_2Ebool),X0_2E0))) ).
fof(arityeq1_2Ec_2Ebitstring_2Ebnot_2E1,axiom,
! [X0_2E0] : s(tyop_2Elist_2Elist(tyop_2Emin_2Ebool),c_2Ebitstring_2Ebnot_2E1(s(tyop_2Elist_2Elist(tyop_2Emin_2Ebool),X0_2E0))) = s(tyop_2Elist_2Elist(tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Elist_2Elist(tyop_2Emin_2Ebool),tyop_2Elist_2Elist(tyop_2Emin_2Ebool)),c_2Ebitstring_2Ebnot_2E0),s(tyop_2Elist_2Elist(tyop_2Emin_2Ebool),X0_2E0))) ).
fof(arityeq2_2Ec_2Ebitstring_2Eband_2E2,axiom,
! [X0_2E0,X1_2E0] : s(tyop_2Elist_2Elist(tyop_2Emin_2Ebool),c_2Ebitstring_2Eband_2E2(s(tyop_2Elist_2Elist(tyop_2Emin_2Ebool),X0_2E0),s(tyop_2Elist_2Elist(tyop_2Emin_2Ebool),X1_2E0))) = s(tyop_2Elist_2Elist(tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Elist_2Elist(tyop_2Emin_2Ebool),tyop_2Elist_2Elist(tyop_2Emin_2Ebool)),app_2E2(s(tyop_2Emin_2Efun(tyop_2Elist_2Elist(tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Elist_2Elist(tyop_2Emin_2Ebool),tyop_2Elist_2Elist(tyop_2Emin_2Ebool))),c_2Ebitstring_2Eband_2E0),s(tyop_2Elist_2Elist(tyop_2Emin_2Ebool),X0_2E0))),s(tyop_2Elist_2Elist(tyop_2Emin_2Ebool),X1_2E0))) ).
fof(arityeq2_2Ec_2Ebitstring_2Ebnand_2E2,axiom,
! [X0_2E0,X1_2E0] : s(tyop_2Elist_2Elist(tyop_2Emin_2Ebool),c_2Ebitstring_2Ebnand_2E2(s(tyop_2Elist_2Elist(tyop_2Emin_2Ebool),X0_2E0),s(tyop_2Elist_2Elist(tyop_2Emin_2Ebool),X1_2E0))) = s(tyop_2Elist_2Elist(tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Elist_2Elist(tyop_2Emin_2Ebool),tyop_2Elist_2Elist(tyop_2Emin_2Ebool)),app_2E2(s(tyop_2Emin_2Efun(tyop_2Elist_2Elist(tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Elist_2Elist(tyop_2Emin_2Ebool),tyop_2Elist_2Elist(tyop_2Emin_2Ebool))),c_2Ebitstring_2Ebnand_2E0),s(tyop_2Elist_2Elist(tyop_2Emin_2Ebool),X0_2E0))),s(tyop_2Elist_2Elist(tyop_2Emin_2Ebool),X1_2E0))) ).
fof(arityeq2_2Ec_2Ebitstring_2Ebnor_2E2,axiom,
! [X0_2E0,X1_2E0] : s(tyop_2Elist_2Elist(tyop_2Emin_2Ebool),c_2Ebitstring_2Ebnor_2E2(s(tyop_2Elist_2Elist(tyop_2Emin_2Ebool),X0_2E0),s(tyop_2Elist_2Elist(tyop_2Emin_2Ebool),X1_2E0))) = s(tyop_2Elist_2Elist(tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Elist_2Elist(tyop_2Emin_2Ebool),tyop_2Elist_2Elist(tyop_2Emin_2Ebool)),app_2E2(s(tyop_2Emin_2Efun(tyop_2Elist_2Elist(tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Elist_2Elist(tyop_2Emin_2Ebool),tyop_2Elist_2Elist(tyop_2Emin_2Ebool))),c_2Ebitstring_2Ebnor_2E0),s(tyop_2Elist_2Elist(tyop_2Emin_2Ebool),X0_2E0))),s(tyop_2Elist_2Elist(tyop_2Emin_2Ebool),X1_2E0))) ).
fof(arityeq2_2Ec_2Ebitstring_2Ebor_2E2,axiom,
! [X0_2E0,X1_2E0] : s(tyop_2Elist_2Elist(tyop_2Emin_2Ebool),c_2Ebitstring_2Ebor_2E2(s(tyop_2Elist_2Elist(tyop_2Emin_2Ebool),X0_2E0),s(tyop_2Elist_2Elist(tyop_2Emin_2Ebool),X1_2E0))) = s(tyop_2Elist_2Elist(tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Elist_2Elist(tyop_2Emin_2Ebool),tyop_2Elist_2Elist(tyop_2Emin_2Ebool)),app_2E2(s(tyop_2Emin_2Efun(tyop_2Elist_2Elist(tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Elist_2Elist(tyop_2Emin_2Ebool),tyop_2Elist_2Elist(tyop_2Emin_2Ebool))),c_2Ebitstring_2Ebor_2E0),s(tyop_2Elist_2Elist(tyop_2Emin_2Ebool),X0_2E0))),s(tyop_2Elist_2Elist(tyop_2Emin_2Ebool),X1_2E0))) ).
fof(arityeq2_2Ec_2Ebitstring_2Ebxnor_2E2,axiom,
! [X0_2E0,X1_2E0] : s(tyop_2Elist_2Elist(tyop_2Emin_2Ebool),c_2Ebitstring_2Ebxnor_2E2(s(tyop_2Elist_2Elist(tyop_2Emin_2Ebool),X0_2E0),s(tyop_2Elist_2Elist(tyop_2Emin_2Ebool),X1_2E0))) = s(tyop_2Elist_2Elist(tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Elist_2Elist(tyop_2Emin_2Ebool),tyop_2Elist_2Elist(tyop_2Emin_2Ebool)),app_2E2(s(tyop_2Emin_2Efun(tyop_2Elist_2Elist(tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Elist_2Elist(tyop_2Emin_2Ebool),tyop_2Elist_2Elist(tyop_2Emin_2Ebool))),c_2Ebitstring_2Ebxnor_2E0),s(tyop_2Elist_2Elist(tyop_2Emin_2Ebool),X0_2E0))),s(tyop_2Elist_2Elist(tyop_2Emin_2Ebool),X1_2E0))) ).
fof(arityeq2_2Ec_2Ebitstring_2Ebxor_2E2,axiom,
! [X0_2E0,X1_2E0] : s(tyop_2Elist_2Elist(tyop_2Emin_2Ebool),c_2Ebitstring_2Ebxor_2E2(s(tyop_2Elist_2Elist(tyop_2Emin_2Ebool),X0_2E0),s(tyop_2Elist_2Elist(tyop_2Emin_2Ebool),X1_2E0))) = s(tyop_2Elist_2Elist(tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Elist_2Elist(tyop_2Emin_2Ebool),tyop_2Elist_2Elist(tyop_2Emin_2Ebool)),app_2E2(s(tyop_2Emin_2Efun(tyop_2Elist_2Elist(tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Elist_2Elist(tyop_2Emin_2Ebool),tyop_2Elist_2Elist(tyop_2Emin_2Ebool))),c_2Ebitstring_2Ebxor_2E0),s(tyop_2Elist_2Elist(tyop_2Emin_2Ebool),X0_2E0))),s(tyop_2Elist_2Elist(tyop_2Emin_2Ebool),X1_2E0))) ).
fof(arityeq2_2Ec_2Ebitstring_2Emodify_2E2,axiom,
! [X0_2E0,X1_2E0] : s(tyop_2Elist_2Elist(tyop_2Emin_2Ebool),c_2Ebitstring_2Emodify_2E2(s(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool)),X0_2E0),s(tyop_2Elist_2Elist(tyop_2Emin_2Ebool),X1_2E0))) = s(tyop_2Elist_2Elist(tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Elist_2Elist(tyop_2Emin_2Ebool),tyop_2Elist_2Elist(tyop_2Emin_2Ebool)),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool)),tyop_2Emin_2Efun(tyop_2Elist_2Elist(tyop_2Emin_2Ebool),tyop_2Elist_2Elist(tyop_2Emin_2Ebool))),c_2Ebitstring_2Emodify_2E0),s(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool)),X0_2E0))),s(tyop_2Elist_2Elist(tyop_2Emin_2Ebool),X1_2E0))) ).
fof(arityeq2_2Ec_2Ebitstring_2Eshiftl_2E2,axiom,
! [X0_2E0,X1_2E0] : s(tyop_2Elist_2Elist(tyop_2Emin_2Ebool),c_2Ebitstring_2Eshiftl_2E2(s(tyop_2Elist_2Elist(tyop_2Emin_2Ebool),X0_2E0),s(tyop_2Enum_2Enum,X1_2E0))) = s(tyop_2Elist_2Elist(tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Elist_2Elist(tyop_2Emin_2Ebool)),app_2E2(s(tyop_2Emin_2Efun(tyop_2Elist_2Elist(tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Elist_2Elist(tyop_2Emin_2Ebool))),c_2Ebitstring_2Eshiftl_2E0),s(tyop_2Elist_2Elist(tyop_2Emin_2Ebool),X0_2E0))),s(tyop_2Enum_2Enum,X1_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(arityeq3_2Ec_2Ebool_2ECOND_2E3_2Emono_2Etyop_2Elist_2Elist_28tyop_2Emin_2Ebool_29,axiom,
! [X0_2E0,X1_2E0,X2_2E0] : s(tyop_2Elist_2Elist(tyop_2Emin_2Ebool),c_2Ebool_2ECOND_2E3(s(tyop_2Emin_2Ebool,X0_2E0),s(tyop_2Elist_2Elist(tyop_2Emin_2Ebool),X1_2E0),s(tyop_2Elist_2Elist(tyop_2Emin_2Ebool),X2_2E0))) = s(tyop_2Elist_2Elist(tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Elist_2Elist(tyop_2Emin_2Ebool),tyop_2Elist_2Elist(tyop_2Emin_2Ebool)),app_2E2(s(tyop_2Emin_2Efun(tyop_2Elist_2Elist(tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Elist_2Elist(tyop_2Emin_2Ebool),tyop_2Elist_2Elist(tyop_2Emin_2Ebool))),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Efun(tyop_2Elist_2Elist(tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Elist_2Elist(tyop_2Emin_2Ebool),tyop_2Elist_2Elist(tyop_2Emin_2Ebool)))),c_2Ebool_2ECOND_2E0),s(tyop_2Emin_2Ebool,X0_2E0))),s(tyop_2Elist_2Elist(tyop_2Emin_2Ebool),X1_2E0))),s(tyop_2Elist_2Elist(tyop_2Emin_2Ebool),X2_2E0))) ).
fof(arityeq2_2Ec_2Elist_2ECONS_2E2_2Emono_2Etyop_2Emin_2Ebool,axiom,
! [X0_2E0,X1_2E0] : s(tyop_2Elist_2Elist(tyop_2Emin_2Ebool),c_2Elist_2ECONS_2E2(s(tyop_2Emin_2Ebool,X0_2E0),s(tyop_2Elist_2Elist(tyop_2Emin_2Ebool),X1_2E0))) = s(tyop_2Elist_2Elist(tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Elist_2Elist(tyop_2Emin_2Ebool),tyop_2Elist_2Elist(tyop_2Emin_2Ebool)),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Efun(tyop_2Elist_2Elist(tyop_2Emin_2Ebool),tyop_2Elist_2Elist(tyop_2Emin_2Ebool))),c_2Elist_2ECONS_2E0),s(tyop_2Emin_2Ebool,X0_2E0))),s(tyop_2Elist_2Elist(tyop_2Emin_2Ebool),X1_2E0))) ).
fof(arityeq1_2Ec_2Elist_2EHD_2E1_2Emono_2Etyop_2Emin_2Ebool,axiom,
! [X0_2E0] : s(tyop_2Emin_2Ebool,c_2Elist_2EHD_2E1(s(tyop_2Elist_2Elist(tyop_2Emin_2Ebool),X0_2E0))) = s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(tyop_2Elist_2Elist(tyop_2Emin_2Ebool),tyop_2Emin_2Ebool),c_2Elist_2EHD_2E0),s(tyop_2Elist_2Elist(tyop_2Emin_2Ebool),X0_2E0))) ).
fof(arityeq2_2Ec_2Ebitstring_2Esign__extend_2E2_2Emono_2Etyop_2Emin_2Ebool,axiom,
! [X0_2E0,X1_2E0] : s(tyop_2Elist_2Elist(tyop_2Emin_2Ebool),c_2Ebitstring_2Esign__extend_2E2(s(tyop_2Enum_2Enum,X0_2E0),s(tyop_2Elist_2Elist(tyop_2Emin_2Ebool),X1_2E0))) = s(tyop_2Elist_2Elist(tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Elist_2Elist(tyop_2Emin_2Ebool),tyop_2Elist_2Elist(tyop_2Emin_2Ebool)),app_2E2(s(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Efun(tyop_2Elist_2Elist(tyop_2Emin_2Ebool),tyop_2Elist_2Elist(tyop_2Emin_2Ebool))),c_2Ebitstring_2Esign__extend_2E0),s(tyop_2Enum_2Enum,X0_2E0))),s(tyop_2Elist_2Elist(tyop_2Emin_2Ebool),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(arityeq3_2Ec_2Ebool_2ECOND_2E3_2Emono_2Etyop_2Enum_2Enum,axiom,
! [X0_2E0,X1_2E0,X2_2E0] : s(tyop_2Enum_2Enum,c_2Ebool_2ECOND_2E3(s(tyop_2Emin_2Ebool,X0_2E0),s(tyop_2Enum_2Enum,X1_2E0),s(tyop_2Enum_2Enum,X2_2E0))) = s(tyop_2Enum_2Enum,app_2E2(s(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Enum_2Enum),app_2E2(s(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Enum_2Enum)),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Enum_2Enum))),c_2Ebool_2ECOND_2E0),s(tyop_2Emin_2Ebool,X0_2E0))),s(tyop_2Enum_2Enum,X1_2E0))),s(tyop_2Enum_2Enum,X2_2E0))) ).
fof(arityeq1_2Ec_2Ebitstring_2Ev2w_2E1_2Emono_2EA_27b,axiom,
! [A_27b,X0_2E0] : s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27b),c_2Ebitstring_2Ev2w_2E1(s(tyop_2Elist_2Elist(tyop_2Emin_2Ebool),X0_2E0))) = s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27b),app_2E2(s(tyop_2Emin_2Efun(tyop_2Elist_2Elist(tyop_2Emin_2Ebool),tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27b)),c_2Ebitstring_2Ev2w_2E0),s(tyop_2Elist_2Elist(tyop_2Emin_2Ebool),X0_2E0))) ).
fof(arityeq2_2Ec_2Earithmetic_2E_2B_2E2,axiom,
! [X0_2E0,X1_2E0] : s(tyop_2Enum_2Enum,c_2Earithmetic_2E_2B_2E2(s(tyop_2Enum_2Enum,X0_2E0),s(tyop_2Enum_2Enum,X1_2E0))) = s(tyop_2Enum_2Enum,app_2E2(s(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Enum_2Enum),app_2E2(s(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Enum_2Enum)),c_2Earithmetic_2E_2B_2E0),s(tyop_2Enum_2Enum,X0_2E0))),s(tyop_2Enum_2Enum,X1_2E0))) ).
fof(arityeq2_2Ec_2Elist_2EAPPEND_2E2_2Emono_2Etyop_2Emin_2Ebool,axiom,
! [X0_2E0,X1_2E0] : s(tyop_2Elist_2Elist(tyop_2Emin_2Ebool),c_2Elist_2EAPPEND_2E2(s(tyop_2Elist_2Elist(tyop_2Emin_2Ebool),X0_2E0),s(tyop_2Elist_2Elist(tyop_2Emin_2Ebool),X1_2E0))) = s(tyop_2Elist_2Elist(tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Elist_2Elist(tyop_2Emin_2Ebool),tyop_2Elist_2Elist(tyop_2Emin_2Ebool)),app_2E2(s(tyop_2Emin_2Efun(tyop_2Elist_2Elist(tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Elist_2Elist(tyop_2Emin_2Ebool),tyop_2Elist_2Elist(tyop_2Emin_2Ebool))),c_2Elist_2EAPPEND_2E0),s(tyop_2Elist_2Elist(tyop_2Emin_2Ebool),X0_2E0))),s(tyop_2Elist_2Elist(tyop_2Emin_2Ebool),X1_2E0))) ).
fof(arityeq2_2Ec_2Earithmetic_2EMIN_2E2,axiom,
! [X0_2E0,X1_2E0] : s(tyop_2Enum_2Enum,c_2Earithmetic_2EMIN_2E2(s(tyop_2Enum_2Enum,X0_2E0),s(tyop_2Enum_2Enum,X1_2E0))) = s(tyop_2Enum_2Enum,app_2E2(s(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Enum_2Enum),app_2E2(s(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Enum_2Enum)),c_2Earithmetic_2EMIN_2E0),s(tyop_2Enum_2Enum,X0_2E0))),s(tyop_2Enum_2Enum,X1_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_2Ebitstring_2Ev2w_2E1_2Emono_2EA_27c,axiom,
! [A_27c,X0_2E0] : s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27c),c_2Ebitstring_2Ev2w_2E1(s(tyop_2Elist_2Elist(tyop_2Emin_2Ebool),X0_2E0))) = s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27c),app_2E2(s(tyop_2Emin_2Efun(tyop_2Elist_2Elist(tyop_2Emin_2Ebool),tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27c)),c_2Ebitstring_2Ev2w_2E0),s(tyop_2Elist_2Elist(tyop_2Emin_2Ebool),X0_2E0))) ).
fof(arityeq3_2Ec_2Elist_2EFOLDL_2E3_2Emono_2Etyop_2Emin_2Ebool_20mono_2Etyop_2Emin_2Ebool,axiom,
! [X0_2E0,X1_2E0,X2_2E0] : s(tyop_2Emin_2Ebool,c_2Elist_2EFOLDL_2E3(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool)),X0_2E0),s(tyop_2Emin_2Ebool,X1_2E0),s(tyop_2Elist_2Elist(tyop_2Emin_2Ebool),X2_2E0))) = s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(tyop_2Elist_2Elist(tyop_2Emin_2Ebool),tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Efun(tyop_2Elist_2Elist(tyop_2Emin_2Ebool),tyop_2Emin_2Ebool)),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool)),tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Efun(tyop_2Elist_2Elist(tyop_2Emin_2Ebool),tyop_2Emin_2Ebool))),c_2Elist_2EFOLDL_2E0),s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool)),X0_2E0))),s(tyop_2Emin_2Ebool,X1_2E0))),s(tyop_2Elist_2Elist(tyop_2Emin_2Ebool),X2_2E0))) ).
fof(arityeq1_2Ec_2Elist_2ETL_2E1_2Emono_2Etyop_2Emin_2Ebool,axiom,
! [X0_2E0] : s(tyop_2Elist_2Elist(tyop_2Emin_2Ebool),c_2Elist_2ETL_2E1(s(tyop_2Elist_2Elist(tyop_2Emin_2Ebool),X0_2E0))) = s(tyop_2Elist_2Elist(tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Elist_2Elist(tyop_2Emin_2Ebool),tyop_2Elist_2Elist(tyop_2Emin_2Ebool)),c_2Elist_2ETL_2E0),s(tyop_2Elist_2Elist(tyop_2Emin_2Ebool),X0_2E0))) ).
fof(arityeq1_2Ec_2Ebitstring_2Ev2w_2E1_2Emono_2Etyop_2Eone_2Eone,axiom,
! [X0_2E0] : s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,tyop_2Eone_2Eone),c_2Ebitstring_2Ev2w_2E1(s(tyop_2Elist_2Elist(tyop_2Emin_2Ebool),X0_2E0))) = s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,tyop_2Eone_2Eone),app_2E2(s(tyop_2Emin_2Efun(tyop_2Elist_2Elist(tyop_2Emin_2Ebool),tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,tyop_2Eone_2Eone)),c_2Ebitstring_2Ev2w_2E0),s(tyop_2Elist_2Elist(tyop_2Emin_2Ebool),X0_2E0))) ).
fof(arityeq1_2Ec_2Ebitstring_2Ev2w_2E1_2Emono_2Etyop_2Esum_2Esum_28A_27a_2CA_27b_29,axiom,
! [A_27a,A_27b,X0_2E0] : s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,tyop_2Esum_2Esum(A_27a,A_27b)),c_2Ebitstring_2Ev2w_2E1(s(tyop_2Elist_2Elist(tyop_2Emin_2Ebool),X0_2E0))) = s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,tyop_2Esum_2Esum(A_27a,A_27b)),app_2E2(s(tyop_2Emin_2Efun(tyop_2Elist_2Elist(tyop_2Emin_2Ebool),tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,tyop_2Esum_2Esum(A_27a,A_27b))),c_2Ebitstring_2Ev2w_2E0),s(tyop_2Elist_2Elist(tyop_2Emin_2Ebool),X0_2E0))) ).
fof(arityeq1_2Ec_2Ewords_2Ew2n_2E1_2Emono_2EA_27a,axiom,
! [A_27a,X0_2E0] : s(tyop_2Enum_2Enum,c_2Ewords_2Ew2n_2E1(s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27a),X0_2E0))) = s(tyop_2Enum_2Enum,app_2E2(s(tyop_2Emin_2Efun(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27a),tyop_2Enum_2Enum),c_2Ewords_2Ew2n_2E0),s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27a),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(arityeq3_2Ec_2Ewords_2Eword__bits_2E3_2Emono_2EA_27a,axiom,
! [A_27a,X0_2E0,X1_2E0,X2_2E0] : s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27a),c_2Ewords_2Eword__bits_2E3(s(tyop_2Enum_2Enum,X0_2E0),s(tyop_2Enum_2Enum,X1_2E0),s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27a),X2_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_2Enum_2Enum,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_2Enum_2Enum,tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Efun(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27a),tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27a)))),c_2Ewords_2Eword__bits_2E0),s(tyop_2Enum_2Enum,X0_2E0))),s(tyop_2Enum_2Enum,X1_2E0))),s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27a),X2_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_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_2Eword__2comp_2E1_2Emono_2EA_27b,axiom,
! [A_27b,X0_2E0] : s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27b),c_2Ewords_2Eword__2comp_2E1(s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27b),X0_2E0))) = s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27b),app_2E2(s(tyop_2Emin_2Efun(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27b),tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27b)),c_2Ewords_2Eword__2comp_2E0),s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27b),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_2Eword__log2_2E1_2Emono_2EA_27c,axiom,
! [A_27c,X0_2E0] : s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27c),c_2Ewords_2Eword__log2_2E1(s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27c),X0_2E0))) = s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27c),app_2E2(s(tyop_2Emin_2Efun(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27c),tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27c)),c_2Ewords_2Eword__log2_2E0),s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27c),X0_2E0))) ).
fof(arityeq1_2Ec_2Ewords_2Eword__lsb_2E1_2Emono_2EA_27a,axiom,
! [A_27a,X0_2E0] : s(tyop_2Emin_2Ebool,c_2Ewords_2Eword__lsb_2E1(s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27a),X0_2E0))) = s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27a),tyop_2Emin_2Ebool),c_2Ewords_2Eword__lsb_2E0),s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27a),X0_2E0))) ).
fof(arityeq1_2Ec_2Ewords_2Eword__msb_2E1_2Emono_2EA_27a,axiom,
! [A_27a,X0_2E0] : s(tyop_2Emin_2Ebool,c_2Ewords_2Eword__msb_2E1(s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27a),X0_2E0))) = s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27a),tyop_2Emin_2Ebool),c_2Ewords_2Eword__msb_2E0),s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27a),X0_2E0))) ).
fof(arityeq1_2Ec_2Ewords_2Eword__reverse_2E1_2Emono_2EA_27a,axiom,
! [A_27a,X0_2E0] : s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27a),c_2Ewords_2Eword__reverse_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__reverse_2E0),s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27a),X0_2E0))) ).
fof(arityeq2_2Ec_2Elist_2ECONS_2E2_2Emono_2Etyop_2Enum_2Enum,axiom,
! [X0_2E0,X1_2E0] : s(tyop_2Elist_2Elist(tyop_2Enum_2Enum),c_2Elist_2ECONS_2E2(s(tyop_2Enum_2Enum,X0_2E0),s(tyop_2Elist_2Elist(tyop_2Enum_2Enum),X1_2E0))) = s(tyop_2Elist_2Elist(tyop_2Enum_2Enum),app_2E2(s(tyop_2Emin_2Efun(tyop_2Elist_2Elist(tyop_2Enum_2Enum),tyop_2Elist_2Elist(tyop_2Enum_2Enum)),app_2E2(s(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Efun(tyop_2Elist_2Elist(tyop_2Enum_2Enum),tyop_2Elist_2Elist(tyop_2Enum_2Enum))),c_2Elist_2ECONS_2E0),s(tyop_2Enum_2Enum,X0_2E0))),s(tyop_2Elist_2Elist(tyop_2Enum_2Enum),X1_2E0))) ).
fof(arityeq2_2Ec_2Earithmetic_2E_2D_2E2,axiom,
! [X0_2E0,X1_2E0] : s(tyop_2Enum_2Enum,c_2Earithmetic_2E_2D_2E2(s(tyop_2Enum_2Enum,X0_2E0),s(tyop_2Enum_2Enum,X1_2E0))) = s(tyop_2Enum_2Enum,app_2E2(s(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Enum_2Enum),app_2E2(s(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Enum_2Enum)),c_2Earithmetic_2E_2D_2E0),s(tyop_2Enum_2Enum,X0_2E0))),s(tyop_2Enum_2Enum,X1_2E0))) ).
fof(arityeq2_2Ec_2Earithmetic_2EEXP_2E2,axiom,
! [X0_2E0,X1_2E0] : s(tyop_2Enum_2Enum,c_2Earithmetic_2EEXP_2E2(s(tyop_2Enum_2Enum,X0_2E0),s(tyop_2Enum_2Enum,X1_2E0))) = s(tyop_2Enum_2Enum,app_2E2(s(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Enum_2Enum),app_2E2(s(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Enum_2Enum)),c_2Earithmetic_2EEXP_2E0),s(tyop_2Enum_2Enum,X0_2E0))),s(tyop_2Enum_2Enum,X1_2E0))) ).
fof(arityeq2_2Ec_2Ebitstring_2Ereplicate_2E2,axiom,
! [X0_2E0,X1_2E0] : s(tyop_2Elist_2Elist(tyop_2Emin_2Ebool),c_2Ebitstring_2Ereplicate_2E2(s(tyop_2Elist_2Elist(tyop_2Emin_2Ebool),X0_2E0),s(tyop_2Enum_2Enum,X1_2E0))) = s(tyop_2Elist_2Elist(tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Elist_2Elist(tyop_2Emin_2Ebool)),app_2E2(s(tyop_2Emin_2Efun(tyop_2Elist_2Elist(tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Elist_2Elist(tyop_2Emin_2Ebool))),c_2Ebitstring_2Ereplicate_2E0),s(tyop_2Elist_2Elist(tyop_2Emin_2Ebool),X0_2E0))),s(tyop_2Enum_2Enum,X1_2E0))) ).
fof(arityeq2_2Ec_2Elist_2EMAP_2E2_2Emono_2Etyop_2Enum_2Enum_20mono_2Etyop_2Emin_2Ebool,axiom,
! [X0_2E0,X1_2E0] : s(tyop_2Elist_2Elist(tyop_2Emin_2Ebool),c_2Elist_2EMAP_2E2(s(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),X0_2E0),s(tyop_2Elist_2Elist(tyop_2Enum_2Enum),X1_2E0))) = s(tyop_2Elist_2Elist(tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Elist_2Elist(tyop_2Enum_2Enum),tyop_2Elist_2Elist(tyop_2Emin_2Ebool)),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Elist_2Elist(tyop_2Enum_2Enum),tyop_2Elist_2Elist(tyop_2Emin_2Ebool))),c_2Elist_2EMAP_2E0),s(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),X0_2E0))),s(tyop_2Elist_2Elist(tyop_2Enum_2Enum),X1_2E0))) ).
fof(arityeq2_2Ec_2Elist_2EAPPEND_2E2_2Emono_2Etyop_2Enum_2Enum,axiom,
! [X0_2E0,X1_2E0] : s(tyop_2Elist_2Elist(tyop_2Enum_2Enum),c_2Elist_2EAPPEND_2E2(s(tyop_2Elist_2Elist(tyop_2Enum_2Enum),X0_2E0),s(tyop_2Elist_2Elist(tyop_2Enum_2Enum),X1_2E0))) = s(tyop_2Elist_2Elist(tyop_2Enum_2Enum),app_2E2(s(tyop_2Emin_2Efun(tyop_2Elist_2Elist(tyop_2Enum_2Enum),tyop_2Elist_2Elist(tyop_2Enum_2Enum)),app_2E2(s(tyop_2Emin_2Efun(tyop_2Elist_2Elist(tyop_2Enum_2Enum),tyop_2Emin_2Efun(tyop_2Elist_2Elist(tyop_2Enum_2Enum),tyop_2Elist_2Elist(tyop_2Enum_2Enum))),c_2Elist_2EAPPEND_2E0),s(tyop_2Elist_2Elist(tyop_2Enum_2Enum),X0_2E0))),s(tyop_2Elist_2Elist(tyop_2Enum_2Enum),X1_2E0))) ).
fof(arityeq2_2Ec_2Elist_2EMAP_2E2_2Emono_2Etyop_2Emin_2Ebool_20mono_2Etyop_2Enum_2Enum,axiom,
! [X0_2E0,X1_2E0] : s(tyop_2Elist_2Elist(tyop_2Enum_2Enum),c_2Elist_2EMAP_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Enum_2Enum),X0_2E0),s(tyop_2Elist_2Elist(tyop_2Emin_2Ebool),X1_2E0))) = s(tyop_2Elist_2Elist(tyop_2Enum_2Enum),app_2E2(s(tyop_2Emin_2Efun(tyop_2Elist_2Elist(tyop_2Emin_2Ebool),tyop_2Elist_2Elist(tyop_2Enum_2Enum)),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Enum_2Enum),tyop_2Emin_2Efun(tyop_2Elist_2Elist(tyop_2Emin_2Ebool),tyop_2Elist_2Elist(tyop_2Enum_2Enum))),c_2Elist_2EMAP_2E0),s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Enum_2Enum),X0_2E0))),s(tyop_2Elist_2Elist(tyop_2Emin_2Ebool),X1_2E0))) ).
fof(arityeq1_2Ec_2Elist_2EREVERSE_2E1_2Emono_2Etyop_2Enum_2Enum,axiom,
! [X0_2E0] : s(tyop_2Elist_2Elist(tyop_2Enum_2Enum),c_2Elist_2EREVERSE_2E1(s(tyop_2Elist_2Elist(tyop_2Enum_2Enum),X0_2E0))) = s(tyop_2Elist_2Elist(tyop_2Enum_2Enum),app_2E2(s(tyop_2Emin_2Efun(tyop_2Elist_2Elist(tyop_2Enum_2Enum),tyop_2Elist_2Elist(tyop_2Enum_2Enum)),c_2Elist_2EREVERSE_2E0),s(tyop_2Elist_2Elist(tyop_2Enum_2Enum),X0_2E0))) ).
fof(arityeq2_2Ec_2Ebool_2ECOND_2E2_2Emono_2Etyop_2Emin_2Ebool,axiom,
! [X0_2E0,X1_2E0] : s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool),c_2Ebool_2ECOND_2E2(s(tyop_2Emin_2Ebool,X0_2E0),s(tyop_2Emin_2Ebool,X1_2E0))) = 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))) ).
fof(arityeq2_2Ec_2Ebitstring_2Etestbit_2E2,axiom,
! [X0_2E0,X1_2E0] : s(tyop_2Emin_2Ebool,c_2Ebitstring_2Etestbit_2E2(s(tyop_2Enum_2Enum,X0_2E0),s(tyop_2Elist_2Elist(tyop_2Emin_2Ebool),X1_2E0))) = s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(tyop_2Elist_2Elist(tyop_2Emin_2Ebool),tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Efun(tyop_2Elist_2Elist(tyop_2Emin_2Ebool),tyop_2Emin_2Ebool)),c_2Ebitstring_2Etestbit_2E0),s(tyop_2Enum_2Enum,X0_2E0))),s(tyop_2Elist_2Elist(tyop_2Emin_2Ebool),X1_2E0))) ).
fof(arityeq3_2Ec_2Ebitstring_2Eextend_2E3,axiom,
! [X0_2E0,X1_2E0,X2_2E0] : s(tyop_2Elist_2Elist(tyop_2Emin_2Ebool),c_2Ebitstring_2Eextend_2E3(s(tyop_2Emin_2Ebool,X0_2E0),s(tyop_2Enum_2Enum,X1_2E0),s(tyop_2Elist_2Elist(tyop_2Emin_2Ebool),X2_2E0))) = s(tyop_2Elist_2Elist(tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Elist_2Elist(tyop_2Emin_2Ebool),tyop_2Elist_2Elist(tyop_2Emin_2Ebool)),app_2E2(s(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Efun(tyop_2Elist_2Elist(tyop_2Emin_2Ebool),tyop_2Elist_2Elist(tyop_2Emin_2Ebool))),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Efun(tyop_2Elist_2Elist(tyop_2Emin_2Ebool),tyop_2Elist_2Elist(tyop_2Emin_2Ebool)))),c_2Ebitstring_2Eextend_2E0),s(tyop_2Emin_2Ebool,X0_2E0))),s(tyop_2Enum_2Enum,X1_2E0))),s(tyop_2Elist_2Elist(tyop_2Emin_2Ebool),X2_2E0))) ).
fof(arityeq2_2Ec_2Elist_2EEL_2E2_2Emono_2EA_27a,axiom,
! [A_27a,X0_2E0,X1_2E0] : s(A_27a,c_2Elist_2EEL_2E2(s(tyop_2Enum_2Enum,X0_2E0),s(tyop_2Elist_2Elist(A_27a),X1_2E0))) = s(A_27a,app_2E2(s(tyop_2Emin_2Efun(tyop_2Elist_2Elist(A_27a),A_27a),app_2E2(s(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Efun(tyop_2Elist_2Elist(A_27a),A_27a)),c_2Elist_2EEL_2E0),s(tyop_2Enum_2Enum,X0_2E0))),s(tyop_2Elist_2Elist(A_27a),X1_2E0))) ).
fof(arityeq2_2Ec_2Elist_2EEL_2E2_2Emono_2Etyop_2Emin_2Ebool,axiom,
! [X0_2E0,X1_2E0] : s(tyop_2Emin_2Ebool,c_2Elist_2EEL_2E2(s(tyop_2Enum_2Enum,X0_2E0),s(tyop_2Elist_2Elist(tyop_2Emin_2Ebool),X1_2E0))) = s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(tyop_2Elist_2Elist(tyop_2Emin_2Ebool),tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Efun(tyop_2Elist_2Elist(tyop_2Emin_2Ebool),tyop_2Emin_2Ebool)),c_2Elist_2EEL_2E0),s(tyop_2Enum_2Enum,X0_2E0))),s(tyop_2Elist_2Elist(tyop_2Emin_2Ebool),X1_2E0))) ).
fof(arityeq2_2Ec_2Elist_2EEL_2E2_2Emono_2Etyop_2Enum_2Enum,axiom,
! [X0_2E0,X1_2E0] : s(tyop_2Enum_2Enum,c_2Elist_2EEL_2E2(s(tyop_2Enum_2Enum,X0_2E0),s(tyop_2Elist_2Elist(tyop_2Enum_2Enum),X1_2E0))) = s(tyop_2Enum_2Enum,app_2E2(s(tyop_2Emin_2Efun(tyop_2Elist_2Elist(tyop_2Enum_2Enum),tyop_2Enum_2Enum),app_2E2(s(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Efun(tyop_2Elist_2Elist(tyop_2Enum_2Enum),tyop_2Enum_2Enum)),c_2Elist_2EEL_2E0),s(tyop_2Enum_2Enum,X0_2E0))),s(tyop_2Elist_2Elist(tyop_2Enum_2Enum),X1_2E0))) ).
fof(arityeq1_2Ec_2Earithmetic_2E_3E_2E1,axiom,
! [X0_2E0] : s(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),c_2Earithmetic_2E_3E_2E1(s(tyop_2Enum_2Enum,X0_2E0))) = 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_3E_2E0),s(tyop_2Enum_2Enum,X0_2E0))) ).
fof(arityeq2_2Ec_2Elist_2EEVERY_2E2_2Emono_2Etyop_2Enum_2Enum,axiom,
! [X0_2E0,X1_2E0] : s(tyop_2Emin_2Ebool,c_2Elist_2EEVERY_2E2(s(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),X0_2E0),s(tyop_2Elist_2Elist(tyop_2Enum_2Enum),X1_2E0))) = s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(tyop_2Elist_2Elist(tyop_2Enum_2Enum),tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Elist_2Elist(tyop_2Enum_2Enum),tyop_2Emin_2Ebool)),c_2Elist_2EEVERY_2E0),s(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),X0_2E0))),s(tyop_2Elist_2Elist(tyop_2Enum_2Enum),X1_2E0))) ).
fof(arityeq2_2Ec_2Elist_2EGENLIST_2E2_2Emono_2Etyop_2Emin_2Ebool,axiom,
! [X0_2E0,X1_2E0] : s(tyop_2Elist_2Elist(tyop_2Emin_2Ebool),c_2Elist_2EGENLIST_2E2(s(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),X0_2E0),s(tyop_2Enum_2Enum,X1_2E0))) = s(tyop_2Elist_2Elist(tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Elist_2Elist(tyop_2Emin_2Ebool)),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Elist_2Elist(tyop_2Emin_2Ebool))),c_2Elist_2EGENLIST_2E0),s(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),X0_2E0))),s(tyop_2Enum_2Enum,X1_2E0))) ).
fof(arityeq2_2Ec_2Elist_2EGENLIST_2E2_2Emono_2Etyop_2Enum_2Enum,axiom,
! [X0_2E0,X1_2E0] : s(tyop_2Elist_2Elist(tyop_2Enum_2Enum),c_2Elist_2EGENLIST_2E2(s(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Enum_2Enum),X0_2E0),s(tyop_2Enum_2Enum,X1_2E0))) = s(tyop_2Elist_2Elist(tyop_2Enum_2Enum),app_2E2(s(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Elist_2Elist(tyop_2Enum_2Enum)),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Enum_2Enum),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Elist_2Elist(tyop_2Enum_2Enum))),c_2Elist_2EGENLIST_2E0),s(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Enum_2Enum),X0_2E0))),s(tyop_2Enum_2Enum,X1_2E0))) ).
fof(arityeq2_2Ec_2Ebool_2ELET_2E2_2Emono_2Etyop_2Elist_2Elist_28tyop_2Emin_2Ebool_29_20mono_2Etyop_2Emin_2Ebool,axiom,
! [X0_2E0,X1_2E0] : s(tyop_2Emin_2Ebool,c_2Ebool_2ELET_2E2(s(tyop_2Emin_2Efun(tyop_2Elist_2Elist(tyop_2Emin_2Ebool),tyop_2Emin_2Ebool),X0_2E0),s(tyop_2Elist_2Elist(tyop_2Emin_2Ebool),X1_2E0))) = s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(tyop_2Elist_2Elist(tyop_2Emin_2Ebool),tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Elist_2Elist(tyop_2Emin_2Ebool),tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Elist_2Elist(tyop_2Emin_2Ebool),tyop_2Emin_2Ebool)),c_2Ebool_2ELET_2E0),s(tyop_2Emin_2Efun(tyop_2Elist_2Elist(tyop_2Emin_2Ebool),tyop_2Emin_2Ebool),X0_2E0))),s(tyop_2Elist_2Elist(tyop_2Emin_2Ebool),X1_2E0))) ).
fof(arityeq2_2Ec_2Ebool_2ELET_2E2_2Emono_2Etyop_2Elist_2Elist_28tyop_2Emin_2Ebool_29_20mono_2Etyop_2Efcp_2Ecart_28tyop_2Emin_2Ebool_2CA_27a_29,axiom,
! [A_27a,X0_2E0,X1_2E0] : s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27a),c_2Ebool_2ELET_2E2(s(tyop_2Emin_2Efun(tyop_2Elist_2Elist(tyop_2Emin_2Ebool),tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27a)),X0_2E0),s(tyop_2Elist_2Elist(tyop_2Emin_2Ebool),X1_2E0))) = s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27a),app_2E2(s(tyop_2Emin_2Efun(tyop_2Elist_2Elist(tyop_2Emin_2Ebool),tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27a)),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Elist_2Elist(tyop_2Emin_2Ebool),tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27a)),tyop_2Emin_2Efun(tyop_2Elist_2Elist(tyop_2Emin_2Ebool),tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27a))),c_2Ebool_2ELET_2E0),s(tyop_2Emin_2Efun(tyop_2Elist_2Elist(tyop_2Emin_2Ebool),tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27a)),X0_2E0))),s(tyop_2Elist_2Elist(tyop_2Emin_2Ebool),X1_2E0))) ).
fof(arityeq2_2Ec_2Ebool_2ELET_2E2_2Emono_2Etyop_2Elist_2Elist_28tyop_2Emin_2Ebool_29_20mono_2Etyop_2Efcp_2Ecart_28tyop_2Emin_2Ebool_2Ctyop_2Eone_2Eone_29,axiom,
! [X0_2E0,X1_2E0] : s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,tyop_2Eone_2Eone),c_2Ebool_2ELET_2E2(s(tyop_2Emin_2Efun(tyop_2Elist_2Elist(tyop_2Emin_2Ebool),tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,tyop_2Eone_2Eone)),X0_2E0),s(tyop_2Elist_2Elist(tyop_2Emin_2Ebool),X1_2E0))) = s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,tyop_2Eone_2Eone),app_2E2(s(tyop_2Emin_2Efun(tyop_2Elist_2Elist(tyop_2Emin_2Ebool),tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,tyop_2Eone_2Eone)),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Elist_2Elist(tyop_2Emin_2Ebool),tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,tyop_2Eone_2Eone)),tyop_2Emin_2Efun(tyop_2Elist_2Elist(tyop_2Emin_2Ebool),tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,tyop_2Eone_2Eone))),c_2Ebool_2ELET_2E0),s(tyop_2Emin_2Efun(tyop_2Elist_2Elist(tyop_2Emin_2Ebool),tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,tyop_2Eone_2Eone)),X0_2E0))),s(tyop_2Elist_2Elist(tyop_2Emin_2Ebool),X1_2E0))) ).
fof(arityeq2_2Ec_2Ebool_2ELET_2E2_2Emono_2Etyop_2Enum_2Enum_20mono_2Etyop_2Emin_2Ebool,axiom,
! [X0_2E0,X1_2E0] : s(tyop_2Emin_2Ebool,c_2Ebool_2ELET_2E2(s(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),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_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool)),c_2Ebool_2ELET_2E0),s(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),X0_2E0))),s(tyop_2Enum_2Enum,X1_2E0))) ).
fof(arityeq2_2Ec_2Ebool_2ELET_2E2_2Emono_2Etyop_2Enum_2Enum_20mono_2Etyop_2Elist_2Elist_28tyop_2Emin_2Ebool_29,axiom,
! [X0_2E0,X1_2E0] : s(tyop_2Elist_2Elist(tyop_2Emin_2Ebool),c_2Ebool_2ELET_2E2(s(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Elist_2Elist(tyop_2Emin_2Ebool)),X0_2E0),s(tyop_2Enum_2Enum,X1_2E0))) = s(tyop_2Elist_2Elist(tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Elist_2Elist(tyop_2Emin_2Ebool)),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Elist_2Elist(tyop_2Emin_2Ebool)),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Elist_2Elist(tyop_2Emin_2Ebool))),c_2Ebool_2ELET_2E0),s(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Elist_2Elist(tyop_2Emin_2Ebool)),X0_2E0))),s(tyop_2Enum_2Enum,X1_2E0))) ).
fof(arityeq2_2Ec_2Earithmetic_2EMAX_2E2,axiom,
! [X0_2E0,X1_2E0] : s(tyop_2Enum_2Enum,c_2Earithmetic_2EMAX_2E2(s(tyop_2Enum_2Enum,X0_2E0),s(tyop_2Enum_2Enum,X1_2E0))) = s(tyop_2Enum_2Enum,app_2E2(s(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Enum_2Enum),app_2E2(s(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Enum_2Enum)),c_2Earithmetic_2EMAX_2E0),s(tyop_2Enum_2Enum,X0_2E0))),s(tyop_2Enum_2Enum,X1_2E0))) ).
fof(arityeq2_2Ec_2Earithmetic_2EMOD_2E2,axiom,
! [X0_2E0,X1_2E0] : s(tyop_2Enum_2Enum,c_2Earithmetic_2EMOD_2E2(s(tyop_2Enum_2Enum,X0_2E0),s(tyop_2Enum_2Enum,X1_2E0))) = s(tyop_2Enum_2Enum,app_2E2(s(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Enum_2Enum),app_2E2(s(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Enum_2Enum)),c_2Earithmetic_2EMOD_2E0),s(tyop_2Enum_2Enum,X0_2E0))),s(tyop_2Enum_2Enum,X1_2E0))) ).
fof(arityeq2_2Ec_2Epair_2E_2C_2E2_2Emono_2Etyop_2Elist_2Elist_28tyop_2Emin_2Ebool_29_20mono_2Etyop_2Elist_2Elist_28tyop_2Emin_2Ebool_29,axiom,
! [X0_2E0,X1_2E0] : s(tyop_2Epair_2Eprod(tyop_2Elist_2Elist(tyop_2Emin_2Ebool),tyop_2Elist_2Elist(tyop_2Emin_2Ebool)),c_2Epair_2E_2C_2E2(s(tyop_2Elist_2Elist(tyop_2Emin_2Ebool),X0_2E0),s(tyop_2Elist_2Elist(tyop_2Emin_2Ebool),X1_2E0))) = s(tyop_2Epair_2Eprod(tyop_2Elist_2Elist(tyop_2Emin_2Ebool),tyop_2Elist_2Elist(tyop_2Emin_2Ebool)),app_2E2(s(tyop_2Emin_2Efun(tyop_2Elist_2Elist(tyop_2Emin_2Ebool),tyop_2Epair_2Eprod(tyop_2Elist_2Elist(tyop_2Emin_2Ebool),tyop_2Elist_2Elist(tyop_2Emin_2Ebool))),app_2E2(s(tyop_2Emin_2Efun(tyop_2Elist_2Elist(tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Elist_2Elist(tyop_2Emin_2Ebool),tyop_2Epair_2Eprod(tyop_2Elist_2Elist(tyop_2Emin_2Ebool),tyop_2Elist_2Elist(tyop_2Emin_2Ebool)))),c_2Epair_2E_2C_2E0),s(tyop_2Elist_2Elist(tyop_2Emin_2Ebool),X0_2E0))),s(tyop_2Elist_2Elist(tyop_2Emin_2Ebool),X1_2E0))) ).
fof(arityeq2_2Ec_2Elist_2EMAP_2E2_2Emono_2Etyop_2Epair_2Eprod_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29_20mono_2Etyop_2Emin_2Ebool,axiom,
! [X0_2E0,X1_2E0] : s(tyop_2Elist_2Elist(tyop_2Emin_2Ebool),c_2Elist_2EMAP_2E2(s(tyop_2Emin_2Efun(tyop_2Epair_2Eprod(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool),tyop_2Emin_2Ebool),X0_2E0),s(tyop_2Elist_2Elist(tyop_2Epair_2Eprod(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool)),X1_2E0))) = s(tyop_2Elist_2Elist(tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Elist_2Elist(tyop_2Epair_2Eprod(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool)),tyop_2Elist_2Elist(tyop_2Emin_2Ebool)),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Epair_2Eprod(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool),tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Elist_2Elist(tyop_2Epair_2Eprod(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool)),tyop_2Elist_2Elist(tyop_2Emin_2Ebool))),c_2Elist_2EMAP_2E0),s(tyop_2Emin_2Efun(tyop_2Epair_2Eprod(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool),tyop_2Emin_2Ebool),X0_2E0))),s(tyop_2Elist_2Elist(tyop_2Epair_2Eprod(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool)),X1_2E0))) ).
fof(arityeq1_2Ec_2Epair_2EUNCURRY_2E1_2Emono_2Etyop_2Emin_2Ebool_20mono_2Etyop_2Emin_2Ebool_20mono_2Etyop_2Emin_2Ebool,axiom,
! [X0_2E0] : s(tyop_2Emin_2Efun(tyop_2Epair_2Eprod(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool),tyop_2Emin_2Ebool),c_2Epair_2EUNCURRY_2E1(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool)),X0_2E0))) = s(tyop_2Emin_2Efun(tyop_2Epair_2Eprod(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool),tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool)),tyop_2Emin_2Efun(tyop_2Epair_2Eprod(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool),tyop_2Emin_2Ebool)),c_2Epair_2EUNCURRY_2E0),s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool)),X0_2E0))) ).
fof(arityeq1_2Ec_2Elist_2EZIP_2E1_2Emono_2Etyop_2Emin_2Ebool_20mono_2Etyop_2Emin_2Ebool,axiom,
! [X0_2E0] : s(tyop_2Elist_2Elist(tyop_2Epair_2Eprod(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool)),c_2Elist_2EZIP_2E1(s(tyop_2Epair_2Eprod(tyop_2Elist_2Elist(tyop_2Emin_2Ebool),tyop_2Elist_2Elist(tyop_2Emin_2Ebool)),X0_2E0))) = s(tyop_2Elist_2Elist(tyop_2Epair_2Eprod(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool)),app_2E2(s(tyop_2Emin_2Efun(tyop_2Epair_2Eprod(tyop_2Elist_2Elist(tyop_2Emin_2Ebool),tyop_2Elist_2Elist(tyop_2Emin_2Ebool)),tyop_2Elist_2Elist(tyop_2Epair_2Eprod(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool))),c_2Elist_2EZIP_2E0),s(tyop_2Epair_2Eprod(tyop_2Elist_2Elist(tyop_2Emin_2Ebool),tyop_2Elist_2Elist(tyop_2Emin_2Ebool)),X0_2E0))) ).
fof(arityeq2_2Ec_2Epair_2E_2C_2E2_2Emono_2Etyop_2Elist_2Elist_28tyop_2Enum_2Enum_29_20mono_2Etyop_2Elist_2Elist_28tyop_2Emin_2Ebool_29,axiom,
! [X0_2E0,X1_2E0] : s(tyop_2Epair_2Eprod(tyop_2Elist_2Elist(tyop_2Enum_2Enum),tyop_2Elist_2Elist(tyop_2Emin_2Ebool)),c_2Epair_2E_2C_2E2(s(tyop_2Elist_2Elist(tyop_2Enum_2Enum),X0_2E0),s(tyop_2Elist_2Elist(tyop_2Emin_2Ebool),X1_2E0))) = s(tyop_2Epair_2Eprod(tyop_2Elist_2Elist(tyop_2Enum_2Enum),tyop_2Elist_2Elist(tyop_2Emin_2Ebool)),app_2E2(s(tyop_2Emin_2Efun(tyop_2Elist_2Elist(tyop_2Emin_2Ebool),tyop_2Epair_2Eprod(tyop_2Elist_2Elist(tyop_2Enum_2Enum),tyop_2Elist_2Elist(tyop_2Emin_2Ebool))),app_2E2(s(tyop_2Emin_2Efun(tyop_2Elist_2Elist(tyop_2Enum_2Enum),tyop_2Emin_2Efun(tyop_2Elist_2Elist(tyop_2Emin_2Ebool),tyop_2Epair_2Eprod(tyop_2Elist_2Elist(tyop_2Enum_2Enum),tyop_2Elist_2Elist(tyop_2Emin_2Ebool)))),c_2Epair_2E_2C_2E0),s(tyop_2Elist_2Elist(tyop_2Enum_2Enum),X0_2E0))),s(tyop_2Elist_2Elist(tyop_2Emin_2Ebool),X1_2E0))) ).
fof(arityeq2_2Ec_2Elist_2EMAP_2E2_2Emono_2Etyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_20mono_2Etyop_2Emin_2Ebool,axiom,
! [X0_2E0,X1_2E0] : s(tyop_2Elist_2Elist(tyop_2Emin_2Ebool),c_2Elist_2EMAP_2E2(s(tyop_2Emin_2Efun(tyop_2Epair_2Eprod(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Ebool),X0_2E0),s(tyop_2Elist_2Elist(tyop_2Epair_2Eprod(tyop_2Enum_2Enum,tyop_2Emin_2Ebool)),X1_2E0))) = s(tyop_2Elist_2Elist(tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Elist_2Elist(tyop_2Epair_2Eprod(tyop_2Enum_2Enum,tyop_2Emin_2Ebool)),tyop_2Elist_2Elist(tyop_2Emin_2Ebool)),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Epair_2Eprod(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Elist_2Elist(tyop_2Epair_2Eprod(tyop_2Enum_2Enum,tyop_2Emin_2Ebool)),tyop_2Elist_2Elist(tyop_2Emin_2Ebool))),c_2Elist_2EMAP_2E0),s(tyop_2Emin_2Efun(tyop_2Epair_2Eprod(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Ebool),X0_2E0))),s(tyop_2Elist_2Elist(tyop_2Epair_2Eprod(tyop_2Enum_2Enum,tyop_2Emin_2Ebool)),X1_2E0))) ).
fof(arityeq1_2Ec_2Epair_2EUNCURRY_2E1_2Emono_2Etyop_2Enum_2Enum_20mono_2Etyop_2Emin_2Ebool_20mono_2Etyop_2Emin_2Ebool,axiom,
! [X0_2E0] : s(tyop_2Emin_2Efun(tyop_2Epair_2Eprod(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Ebool),c_2Epair_2EUNCURRY_2E1(s(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool)),X0_2E0))) = s(tyop_2Emin_2Efun(tyop_2Epair_2Eprod(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool)),tyop_2Emin_2Efun(tyop_2Epair_2Eprod(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Ebool)),c_2Epair_2EUNCURRY_2E0),s(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool)),X0_2E0))) ).
fof(arityeq1_2Ec_2Elist_2EZIP_2E1_2Emono_2Etyop_2Enum_2Enum_20mono_2Etyop_2Emin_2Ebool,axiom,
! [X0_2E0] : s(tyop_2Elist_2Elist(tyop_2Epair_2Eprod(tyop_2Enum_2Enum,tyop_2Emin_2Ebool)),c_2Elist_2EZIP_2E1(s(tyop_2Epair_2Eprod(tyop_2Elist_2Elist(tyop_2Enum_2Enum),tyop_2Elist_2Elist(tyop_2Emin_2Ebool)),X0_2E0))) = s(tyop_2Elist_2Elist(tyop_2Epair_2Eprod(tyop_2Enum_2Enum,tyop_2Emin_2Ebool)),app_2E2(s(tyop_2Emin_2Efun(tyop_2Epair_2Eprod(tyop_2Elist_2Elist(tyop_2Enum_2Enum),tyop_2Elist_2Elist(tyop_2Emin_2Ebool)),tyop_2Elist_2Elist(tyop_2Epair_2Eprod(tyop_2Enum_2Enum,tyop_2Emin_2Ebool))),c_2Elist_2EZIP_2E0),s(tyop_2Epair_2Eprod(tyop_2Elist_2Elist(tyop_2Enum_2Enum),tyop_2Elist_2Elist(tyop_2Emin_2Ebool)),X0_2E0))) ).
fof(arityeq2_2Ec_2Ebit_2EMOD__2EXP_2E2,axiom,
! [X0_2E0,X1_2E0] : s(tyop_2Enum_2Enum,c_2Ebit_2EMOD__2EXP_2E2(s(tyop_2Enum_2Enum,X0_2E0),s(tyop_2Enum_2Enum,X1_2E0))) = s(tyop_2Enum_2Enum,app_2E2(s(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Enum_2Enum),app_2E2(s(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Enum_2Enum)),c_2Ebit_2EMOD__2EXP_2E0),s(tyop_2Enum_2Enum,X0_2E0))),s(tyop_2Enum_2Enum,X1_2E0))) ).
fof(arityeq2_2Ec_2Elist_2ETAKE_2E2_2Emono_2Etyop_2Emin_2Ebool,axiom,
! [X0_2E0,X1_2E0] : s(tyop_2Elist_2Elist(tyop_2Emin_2Ebool),c_2Elist_2ETAKE_2E2(s(tyop_2Enum_2Enum,X0_2E0),s(tyop_2Elist_2Elist(tyop_2Emin_2Ebool),X1_2E0))) = s(tyop_2Elist_2Elist(tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Elist_2Elist(tyop_2Emin_2Ebool),tyop_2Elist_2Elist(tyop_2Emin_2Ebool)),app_2E2(s(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Efun(tyop_2Elist_2Elist(tyop_2Emin_2Ebool),tyop_2Elist_2Elist(tyop_2Emin_2Ebool))),c_2Elist_2ETAKE_2E0),s(tyop_2Enum_2Enum,X0_2E0))),s(tyop_2Elist_2Elist(tyop_2Emin_2Ebool),X1_2E0))) ).
fof(arityeq2_2Ec_2Ebitstring_2Eadd_2E2,axiom,
! [X0_2E0,X1_2E0] : s(tyop_2Elist_2Elist(tyop_2Emin_2Ebool),c_2Ebitstring_2Eadd_2E2(s(tyop_2Elist_2Elist(tyop_2Emin_2Ebool),X0_2E0),s(tyop_2Elist_2Elist(tyop_2Emin_2Ebool),X1_2E0))) = s(tyop_2Elist_2Elist(tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Elist_2Elist(tyop_2Emin_2Ebool),tyop_2Elist_2Elist(tyop_2Emin_2Ebool)),app_2E2(s(tyop_2Emin_2Efun(tyop_2Elist_2Elist(tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Elist_2Elist(tyop_2Emin_2Ebool),tyop_2Elist_2Elist(tyop_2Emin_2Ebool))),c_2Ebitstring_2Eadd_2E0),s(tyop_2Elist_2Elist(tyop_2Emin_2Ebool),X0_2E0))),s(tyop_2Elist_2Elist(tyop_2Emin_2Ebool),X1_2E0))) ).
fof(arityeq2_2Ec_2Ebitstring_2Eboolify_2E2,axiom,
! [X0_2E0,X1_2E0] : s(tyop_2Elist_2Elist(tyop_2Emin_2Ebool),c_2Ebitstring_2Eboolify_2E2(s(tyop_2Elist_2Elist(tyop_2Emin_2Ebool),X0_2E0),s(tyop_2Elist_2Elist(tyop_2Enum_2Enum),X1_2E0))) = s(tyop_2Elist_2Elist(tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Elist_2Elist(tyop_2Enum_2Enum),tyop_2Elist_2Elist(tyop_2Emin_2Ebool)),app_2E2(s(tyop_2Emin_2Efun(tyop_2Elist_2Elist(tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Elist_2Elist(tyop_2Enum_2Enum),tyop_2Elist_2Elist(tyop_2Emin_2Ebool))),c_2Ebitstring_2Eboolify_2E0),s(tyop_2Elist_2Elist(tyop_2Emin_2Ebool),X0_2E0))),s(tyop_2Elist_2Elist(tyop_2Enum_2Enum),X1_2E0))) ).
fof(arityeq1_2Ec_2Enumposrep_2Enum__to__bin__list_2E1,axiom,
! [X0_2E0] : s(tyop_2Elist_2Elist(tyop_2Enum_2Enum),c_2Enumposrep_2Enum__to__bin__list_2E1(s(tyop_2Enum_2Enum,X0_2E0))) = s(tyop_2Elist_2Elist(tyop_2Enum_2Enum),app_2E2(s(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Elist_2Elist(tyop_2Enum_2Enum)),c_2Enumposrep_2Enum__to__bin__list_2E0),s(tyop_2Enum_2Enum,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(arityeq1_2Ec_2Ewords_2En2w_2E1_2Emono_2EA_27d,axiom,
! [A_27d,X0_2E0] : s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27d),c_2Ewords_2En2w_2E1(s(tyop_2Enum_2Enum,X0_2E0))) = s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27d),app_2E2(s(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27d)),c_2Ewords_2En2w_2E0),s(tyop_2Enum_2Enum,X0_2E0))) ).
fof(arityeq2_2Ec_2Ewords_2Eword__add_2E2_2Emono_2EA_27d,axiom,
! [A_27d,X0_2E0,X1_2E0] : s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27d),c_2Ewords_2Eword__add_2E2(s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27d),X0_2E0),s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27d),X1_2E0))) = s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27d),app_2E2(s(tyop_2Emin_2Efun(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27d),tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27d)),app_2E2(s(tyop_2Emin_2Efun(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27d),tyop_2Emin_2Efun(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27d),tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27d))),c_2Ewords_2Eword__add_2E0),s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27d),X0_2E0))),s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27d),X1_2E0))) ).
fof(arityeq1_2Ec_2Ebitstring_2Ev2w_2E1_2Emono_2EA_27d,axiom,
! [A_27d,X0_2E0] : s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27d),c_2Ebitstring_2Ev2w_2E1(s(tyop_2Elist_2Elist(tyop_2Emin_2Ebool),X0_2E0))) = s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27d),app_2E2(s(tyop_2Emin_2Efun(tyop_2Elist_2Elist(tyop_2Emin_2Ebool),tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27d)),c_2Ebitstring_2Ev2w_2E0),s(tyop_2Elist_2Elist(tyop_2Emin_2Ebool),X0_2E0))) ).
fof(arityeq1_2Ec_2Ewords_2En2w_2E1_2Emono_2EA_27e,axiom,
! [A_27e,X0_2E0] : s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27e),c_2Ewords_2En2w_2E1(s(tyop_2Enum_2Enum,X0_2E0))) = s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27e),app_2E2(s(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27e)),c_2Ewords_2En2w_2E0),s(tyop_2Enum_2Enum,X0_2E0))) ).
fof(arityeq2_2Ec_2Ewords_2Eword__add_2E2_2Emono_2EA_27e,axiom,
! [A_27e,X0_2E0,X1_2E0] : s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27e),c_2Ewords_2Eword__add_2E2(s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27e),X0_2E0),s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27e),X1_2E0))) = s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27e),app_2E2(s(tyop_2Emin_2Efun(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27e),tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27e)),app_2E2(s(tyop_2Emin_2Efun(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27e),tyop_2Emin_2Efun(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27e),tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27e))),c_2Ewords_2Eword__add_2E0),s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27e),X0_2E0))),s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27e),X1_2E0))) ).
fof(arityeq1_2Ec_2Ebitstring_2Ev2w_2E1_2Emono_2EA_27e,axiom,
! [A_27e,X0_2E0] : s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27e),c_2Ebitstring_2Ev2w_2E1(s(tyop_2Elist_2Elist(tyop_2Emin_2Ebool),X0_2E0))) = s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27e),app_2E2(s(tyop_2Emin_2Efun(tyop_2Elist_2Elist(tyop_2Emin_2Ebool),tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27e)),c_2Ebitstring_2Ev2w_2E0),s(tyop_2Elist_2Elist(tyop_2Emin_2Ebool),X0_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_2EA_27e,axiom,
! [A_27e,X0_2E0,X1_2E0] : s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27e),c_2Ewords_2Eword__and_2E2(s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27e),X0_2E0),s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27e),X1_2E0))) = s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27e),app_2E2(s(tyop_2Emin_2Efun(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27e),tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27e)),app_2E2(s(tyop_2Emin_2Efun(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27e),tyop_2Emin_2Efun(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27e),tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27e))),c_2Ewords_2Eword__and_2E0),s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27e),X0_2E0))),s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27e),X1_2E0))) ).
fof(arityeq1_2Ec_2Ewords_2En2w_2E1_2Emono_2EA_27f,axiom,
! [A_27f,X0_2E0] : s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27f),c_2Ewords_2En2w_2E1(s(tyop_2Enum_2Enum,X0_2E0))) = s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27f),app_2E2(s(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27f)),c_2Ewords_2En2w_2E0),s(tyop_2Enum_2Enum,X0_2E0))) ).
fof(arityeq1_2Ec_2Ebitstring_2Ev2w_2E1_2Emono_2EA_27f,axiom,
! [A_27f,X0_2E0] : s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27f),c_2Ebitstring_2Ev2w_2E1(s(tyop_2Elist_2Elist(tyop_2Emin_2Ebool),X0_2E0))) = s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27f),app_2E2(s(tyop_2Emin_2Efun(tyop_2Elist_2Elist(tyop_2Emin_2Ebool),tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27f)),c_2Ebitstring_2Ev2w_2E0),s(tyop_2Elist_2Elist(tyop_2Emin_2Ebool),X0_2E0))) ).
fof(arityeq2_2Ec_2Ewords_2Eword__and_2E2_2Emono_2EA_27f,axiom,
! [A_27f,X0_2E0,X1_2E0] : s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27f),c_2Ewords_2Eword__and_2E2(s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27f),X0_2E0),s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27f),X1_2E0))) = s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27f),app_2E2(s(tyop_2Emin_2Efun(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27f),tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27f)),app_2E2(s(tyop_2Emin_2Efun(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27f),tyop_2Emin_2Efun(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27f),tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27f))),c_2Ewords_2Eword__and_2E0),s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27f),X0_2E0))),s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27f),X1_2E0))) ).
fof(arityeq2_2Ec_2Ewords_2Eword__asr_2E2_2Emono_2EA_27a,axiom,
! [A_27a,X0_2E0,X1_2E0] : s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27a),c_2Ewords_2Eword__asr_2E2(s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27a),X0_2E0),s(tyop_2Enum_2Enum,X1_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)),app_2E2(s(tyop_2Emin_2Efun(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27a),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27a))),c_2Ewords_2Eword__asr_2E0),s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27a),X0_2E0))),s(tyop_2Enum_2Enum,X1_2E0))) ).
fof(arityeq2_2Ec_2Ewords_2Eword__bit_2E2_2Emono_2EA_27a,axiom,
! [A_27a,X0_2E0,X1_2E0] : s(tyop_2Emin_2Ebool,c_2Ewords_2Eword__bit_2E2(s(tyop_2Enum_2Enum,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_2Enum_2Enum,tyop_2Emin_2Efun(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27a),tyop_2Emin_2Ebool)),c_2Ewords_2Eword__bit_2E0),s(tyop_2Enum_2Enum,X0_2E0))),s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27a),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__concat_2E2_2Emono_2EA_27a_20mono_2EA_27b_20mono_2EA_27o,axiom,
! [A_27a,A_27b,A_27o,X0_2E0,X1_2E0] : s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27o),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_27o),app_2E2(s(tyop_2Emin_2Efun(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27b),tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27o)),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_27o))),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__concat_2E2_2Emono_2EA_27a_20mono_2EA_27b_20mono_2EA_27p,axiom,
! [A_27a,A_27b,A_27p,X0_2E0,X1_2E0] : s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27p),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_27p),app_2E2(s(tyop_2Emin_2Efun(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27b),tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27p)),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_27p))),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(arityeq1_2Ec_2Ewords_2En2w_2E1_2Emono_2EA_27l,axiom,
! [A_27l,X0_2E0] : s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27l),c_2Ewords_2En2w_2E1(s(tyop_2Enum_2Enum,X0_2E0))) = s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27l),app_2E2(s(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27l)),c_2Ewords_2En2w_2E0),s(tyop_2Enum_2Enum,X0_2E0))) ).
fof(arityeq2_2Ec_2Ewords_2Eword__div_2E2_2Emono_2EA_27l,axiom,
! [A_27l,X0_2E0,X1_2E0] : s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27l),c_2Ewords_2Eword__div_2E2(s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27l),X0_2E0),s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27l),X1_2E0))) = s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27l),app_2E2(s(tyop_2Emin_2Efun(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27l),tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27l)),app_2E2(s(tyop_2Emin_2Efun(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27l),tyop_2Emin_2Efun(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27l),tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27l))),c_2Ewords_2Eword__div_2E0),s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27l),X0_2E0))),s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27l),X1_2E0))) ).
fof(arityeq1_2Ec_2Ebitstring_2Ev2w_2E1_2Emono_2EA_27l,axiom,
! [A_27l,X0_2E0] : s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27l),c_2Ebitstring_2Ev2w_2E1(s(tyop_2Elist_2Elist(tyop_2Emin_2Ebool),X0_2E0))) = s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27l),app_2E2(s(tyop_2Emin_2Efun(tyop_2Elist_2Elist(tyop_2Emin_2Ebool),tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27l)),c_2Ebitstring_2Ev2w_2E0),s(tyop_2Elist_2Elist(tyop_2Emin_2Ebool),X0_2E0))) ).
fof(arityeq1_2Ec_2Ewords_2En2w_2E1_2Emono_2EA_27m,axiom,
! [A_27m,X0_2E0] : s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27m),c_2Ewords_2En2w_2E1(s(tyop_2Enum_2Enum,X0_2E0))) = s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27m),app_2E2(s(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27m)),c_2Ewords_2En2w_2E0),s(tyop_2Enum_2Enum,X0_2E0))) ).
fof(arityeq2_2Ec_2Ewords_2Eword__div_2E2_2Emono_2EA_27m,axiom,
! [A_27m,X0_2E0,X1_2E0] : s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27m),c_2Ewords_2Eword__div_2E2(s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27m),X0_2E0),s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27m),X1_2E0))) = s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27m),app_2E2(s(tyop_2Emin_2Efun(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27m),tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27m)),app_2E2(s(tyop_2Emin_2Efun(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27m),tyop_2Emin_2Efun(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27m),tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27m))),c_2Ewords_2Eword__div_2E0),s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27m),X0_2E0))),s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27m),X1_2E0))) ).
fof(arityeq1_2Ec_2Ebitstring_2Ev2w_2E1_2Emono_2EA_27m,axiom,
! [A_27m,X0_2E0] : s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27m),c_2Ebitstring_2Ev2w_2E1(s(tyop_2Elist_2Elist(tyop_2Emin_2Ebool),X0_2E0))) = s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27m),app_2E2(s(tyop_2Emin_2Efun(tyop_2Elist_2Elist(tyop_2Emin_2Ebool),tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27m)),c_2Ebitstring_2Ev2w_2E0),s(tyop_2Elist_2Elist(tyop_2Emin_2Ebool),X0_2E0))) ).
fof(arityeq2_2Ec_2Ewords_2Eword__ge_2E2_2Emono_2EA_27a,axiom,
! [A_27a,X0_2E0,X1_2E0] : s(tyop_2Emin_2Ebool,c_2Ewords_2Eword__ge_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__ge_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__gt_2E2_2Emono_2EA_27a,axiom,
! [A_27a,X0_2E0,X1_2E0] : s(tyop_2Emin_2Ebool,c_2Ewords_2Eword__gt_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__gt_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__hi_2E2_2Emono_2EA_27a,axiom,
! [A_27a,X0_2E0,X1_2E0] : s(tyop_2Emin_2Ebool,c_2Ewords_2Eword__hi_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__hi_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__hs_2E2_2Emono_2EA_27a,axiom,
! [A_27a,X0_2E0,X1_2E0] : s(tyop_2Emin_2Ebool,c_2Ewords_2Eword__hs_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__hs_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__join_2E2_2Emono_2EA_27a_20mono_2EA_27b,axiom,
! [A_27a,A_27b,X0_2E0,X1_2E0] : s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,tyop_2Esum_2Esum(A_27a,A_27b)),c_2Ewords_2Eword__join_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,tyop_2Esum_2Esum(A_27a,A_27b)),app_2E2(s(tyop_2Emin_2Efun(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27b),tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,tyop_2Esum_2Esum(A_27a,A_27b))),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,tyop_2Esum_2Esum(A_27a,A_27b)))),c_2Ewords_2Eword__join_2E0),s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27a),X0_2E0))),s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27b),X1_2E0))) ).
fof(arityeq1_2Ec_2Ewords_2En2w_2E1_2Emono_2EA_27r,axiom,
! [A_27r,X0_2E0] : s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27r),c_2Ewords_2En2w_2E1(s(tyop_2Enum_2Enum,X0_2E0))) = s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27r),app_2E2(s(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27r)),c_2Ewords_2En2w_2E0),s(tyop_2Enum_2Enum,X0_2E0))) ).
fof(arityeq1_2Ec_2Ebitstring_2Ev2w_2E1_2Emono_2EA_27q,axiom,
! [A_27q,X0_2E0] : s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27q),c_2Ebitstring_2Ev2w_2E1(s(tyop_2Elist_2Elist(tyop_2Emin_2Ebool),X0_2E0))) = s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27q),app_2E2(s(tyop_2Emin_2Efun(tyop_2Elist_2Elist(tyop_2Emin_2Ebool),tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27q)),c_2Ebitstring_2Ev2w_2E0),s(tyop_2Elist_2Elist(tyop_2Emin_2Ebool),X0_2E0))) ).
fof(arityeq2_2Ec_2Ewords_2Eword__join_2E2_2Emono_2EA_27q_20mono_2EA_27r,axiom,
! [A_27q,A_27r,X0_2E0,X1_2E0] : s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,tyop_2Esum_2Esum(A_27q,A_27r)),c_2Ewords_2Eword__join_2E2(s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27q),X0_2E0),s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27r),X1_2E0))) = s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,tyop_2Esum_2Esum(A_27q,A_27r)),app_2E2(s(tyop_2Emin_2Efun(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27r),tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,tyop_2Esum_2Esum(A_27q,A_27r))),app_2E2(s(tyop_2Emin_2Efun(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27q),tyop_2Emin_2Efun(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27r),tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,tyop_2Esum_2Esum(A_27q,A_27r)))),c_2Ewords_2Eword__join_2E0),s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27q),X0_2E0))),s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27r),X1_2E0))) ).
fof(arityeq1_2Ec_2Ebitstring_2Ev2w_2E1_2Emono_2EA_27r,axiom,
! [A_27r,X0_2E0] : s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27r),c_2Ebitstring_2Ev2w_2E1(s(tyop_2Elist_2Elist(tyop_2Emin_2Ebool),X0_2E0))) = s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27r),app_2E2(s(tyop_2Emin_2Efun(tyop_2Elist_2Elist(tyop_2Emin_2Ebool),tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27r)),c_2Ebitstring_2Ev2w_2E0),s(tyop_2Elist_2Elist(tyop_2Emin_2Ebool),X0_2E0))) ).
fof(arityeq1_2Ec_2Ewords_2En2w_2E1_2Emono_2EA_27s,axiom,
! [A_27s,X0_2E0] : s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27s),c_2Ewords_2En2w_2E1(s(tyop_2Enum_2Enum,X0_2E0))) = s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27s),app_2E2(s(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27s)),c_2Ewords_2En2w_2E0),s(tyop_2Enum_2Enum,X0_2E0))) ).
fof(arityeq1_2Ec_2Ebitstring_2Ev2w_2E1_2Emono_2EA_27t,axiom,
! [A_27t,X0_2E0] : s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27t),c_2Ebitstring_2Ev2w_2E1(s(tyop_2Elist_2Elist(tyop_2Emin_2Ebool),X0_2E0))) = s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27t),app_2E2(s(tyop_2Emin_2Efun(tyop_2Elist_2Elist(tyop_2Emin_2Ebool),tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27t)),c_2Ebitstring_2Ev2w_2E0),s(tyop_2Elist_2Elist(tyop_2Emin_2Ebool),X0_2E0))) ).
fof(arityeq2_2Ec_2Ewords_2Eword__join_2E2_2Emono_2EA_27s_20mono_2EA_27t,axiom,
! [A_27s,A_27t,X0_2E0,X1_2E0] : s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,tyop_2Esum_2Esum(A_27s,A_27t)),c_2Ewords_2Eword__join_2E2(s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27s),X0_2E0),s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27t),X1_2E0))) = s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,tyop_2Esum_2Esum(A_27s,A_27t)),app_2E2(s(tyop_2Emin_2Efun(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27t),tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,tyop_2Esum_2Esum(A_27s,A_27t))),app_2E2(s(tyop_2Emin_2Efun(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27s),tyop_2Emin_2Efun(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27t),tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,tyop_2Esum_2Esum(A_27s,A_27t)))),c_2Ewords_2Eword__join_2E0),s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27s),X0_2E0))),s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27t),X1_2E0))) ).
fof(arityeq1_2Ec_2Ebitstring_2Ev2w_2E1_2Emono_2EA_27s,axiom,
! [A_27s,X0_2E0] : s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27s),c_2Ebitstring_2Ev2w_2E1(s(tyop_2Elist_2Elist(tyop_2Emin_2Ebool),X0_2E0))) = s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27s),app_2E2(s(tyop_2Emin_2Efun(tyop_2Elist_2Elist(tyop_2Emin_2Ebool),tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27s)),c_2Ebitstring_2Ev2w_2E0),s(tyop_2Elist_2Elist(tyop_2Emin_2Ebool),X0_2E0))) ).
fof(arityeq2_2Ec_2Ewords_2Eword__le_2E2_2Emono_2EA_27a,axiom,
! [A_27a,X0_2E0,X1_2E0] : s(tyop_2Emin_2Ebool,c_2Ewords_2Eword__le_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__le_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__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__lsl_2E2_2Emono_2EA_27a,axiom,
! [A_27a,X0_2E0,X1_2E0] : s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27a),c_2Ewords_2Eword__lsl_2E2(s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27a),X0_2E0),s(tyop_2Enum_2Enum,X1_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)),app_2E2(s(tyop_2Emin_2Efun(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27a),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27a))),c_2Ewords_2Eword__lsl_2E0),s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27a),X0_2E0))),s(tyop_2Enum_2Enum,X1_2E0))) ).
fof(arityeq2_2Ec_2Ewords_2Eword__lsr_2E2_2Emono_2EA_27a,axiom,
! [A_27a,X0_2E0,X1_2E0] : s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27a),c_2Ewords_2Eword__lsr_2E2(s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27a),X0_2E0),s(tyop_2Enum_2Enum,X1_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)),app_2E2(s(tyop_2Emin_2Efun(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27a),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27a))),c_2Ewords_2Eword__lsr_2E0),s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27a),X0_2E0))),s(tyop_2Enum_2Enum,X1_2E0))) ).
fof(arityeq2_2Ec_2Ewords_2Eword__lt_2E2_2Emono_2EA_27a,axiom,
! [A_27a,X0_2E0,X1_2E0] : s(tyop_2Emin_2Ebool,c_2Ewords_2Eword__lt_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__lt_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_2En2w_2E1_2Emono_2EA_27n,axiom,
! [A_27n,X0_2E0] : s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27n),c_2Ewords_2En2w_2E1(s(tyop_2Enum_2Enum,X0_2E0))) = s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27n),app_2E2(s(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27n)),c_2Ewords_2En2w_2E0),s(tyop_2Enum_2Enum,X0_2E0))) ).
fof(arityeq2_2Ec_2Ewords_2Eword__mod_2E2_2Emono_2EA_27n,axiom,
! [A_27n,X0_2E0,X1_2E0] : s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27n),c_2Ewords_2Eword__mod_2E2(s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27n),X0_2E0),s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27n),X1_2E0))) = s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27n),app_2E2(s(tyop_2Emin_2Efun(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27n),tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27n)),app_2E2(s(tyop_2Emin_2Efun(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27n),tyop_2Emin_2Efun(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27n),tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27n))),c_2Ewords_2Eword__mod_2E0),s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27n),X0_2E0))),s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27n),X1_2E0))) ).
fof(arityeq1_2Ec_2Ebitstring_2Ev2w_2E1_2Emono_2EA_27n,axiom,
! [A_27n,X0_2E0] : s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27n),c_2Ebitstring_2Ev2w_2E1(s(tyop_2Elist_2Elist(tyop_2Emin_2Ebool),X0_2E0))) = s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27n),app_2E2(s(tyop_2Emin_2Efun(tyop_2Elist_2Elist(tyop_2Emin_2Ebool),tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27n)),c_2Ebitstring_2Ev2w_2E0),s(tyop_2Elist_2Elist(tyop_2Emin_2Ebool),X0_2E0))) ).
fof(arityeq1_2Ec_2Ewords_2En2w_2E1_2Emono_2EA_27o,axiom,
! [A_27o,X0_2E0] : s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27o),c_2Ewords_2En2w_2E1(s(tyop_2Enum_2Enum,X0_2E0))) = s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27o),app_2E2(s(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27o)),c_2Ewords_2En2w_2E0),s(tyop_2Enum_2Enum,X0_2E0))) ).
fof(arityeq2_2Ec_2Ewords_2Eword__mod_2E2_2Emono_2EA_27o,axiom,
! [A_27o,X0_2E0,X1_2E0] : s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27o),c_2Ewords_2Eword__mod_2E2(s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27o),X0_2E0),s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27o),X1_2E0))) = s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27o),app_2E2(s(tyop_2Emin_2Efun(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27o),tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27o)),app_2E2(s(tyop_2Emin_2Efun(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27o),tyop_2Emin_2Efun(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27o),tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27o))),c_2Ewords_2Eword__mod_2E0),s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27o),X0_2E0))),s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27o),X1_2E0))) ).
fof(arityeq1_2Ec_2Ebitstring_2Ev2w_2E1_2Emono_2EA_27o,axiom,
! [A_27o,X0_2E0] : s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27o),c_2Ebitstring_2Ev2w_2E1(s(tyop_2Elist_2Elist(tyop_2Emin_2Ebool),X0_2E0))) = s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27o),app_2E2(s(tyop_2Emin_2Efun(tyop_2Elist_2Elist(tyop_2Emin_2Ebool),tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27o)),c_2Ebitstring_2Ev2w_2E0),s(tyop_2Elist_2Elist(tyop_2Emin_2Ebool),X0_2E0))) ).
fof(arityeq2_2Ec_2Ewords_2Eword__modify_2E2_2Emono_2EA_27a,axiom,
! [A_27a,X0_2E0,X1_2E0] : s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27a),c_2Ewords_2Eword__modify_2E2(s(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool)),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_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool)),tyop_2Emin_2Efun(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27a),tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27a))),c_2Ewords_2Eword__modify_2E0),s(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool)),X0_2E0))),s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27a),X1_2E0))) ).
fof(arityeq1_2Ec_2Ewords_2En2w_2E1_2Emono_2EA_27h,axiom,
! [A_27h,X0_2E0] : s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27h),c_2Ewords_2En2w_2E1(s(tyop_2Enum_2Enum,X0_2E0))) = s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27h),app_2E2(s(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27h)),c_2Ewords_2En2w_2E0),s(tyop_2Enum_2Enum,X0_2E0))) ).
fof(arityeq2_2Ec_2Ewords_2Eword__mul_2E2_2Emono_2EA_27h,axiom,
! [A_27h,X0_2E0,X1_2E0] : s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27h),c_2Ewords_2Eword__mul_2E2(s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27h),X0_2E0),s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27h),X1_2E0))) = s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27h),app_2E2(s(tyop_2Emin_2Efun(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27h),tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27h)),app_2E2(s(tyop_2Emin_2Efun(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27h),tyop_2Emin_2Efun(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27h),tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27h))),c_2Ewords_2Eword__mul_2E0),s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27h),X0_2E0))),s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27h),X1_2E0))) ).
fof(arityeq1_2Ec_2Ebitstring_2Ev2w_2E1_2Emono_2EA_27h,axiom,
! [A_27h,X0_2E0] : s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27h),c_2Ebitstring_2Ev2w_2E1(s(tyop_2Elist_2Elist(tyop_2Emin_2Ebool),X0_2E0))) = s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27h),app_2E2(s(tyop_2Emin_2Efun(tyop_2Elist_2Elist(tyop_2Emin_2Ebool),tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27h)),c_2Ebitstring_2Ev2w_2E0),s(tyop_2Elist_2Elist(tyop_2Emin_2Ebool),X0_2E0))) ).
fof(arityeq1_2Ec_2Ewords_2En2w_2E1_2Emono_2EA_27i,axiom,
! [A_27i,X0_2E0] : s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27i),c_2Ewords_2En2w_2E1(s(tyop_2Enum_2Enum,X0_2E0))) = s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27i),app_2E2(s(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27i)),c_2Ewords_2En2w_2E0),s(tyop_2Enum_2Enum,X0_2E0))) ).
fof(arityeq2_2Ec_2Ewords_2Eword__mul_2E2_2Emono_2EA_27i,axiom,
! [A_27i,X0_2E0,X1_2E0] : s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27i),c_2Ewords_2Eword__mul_2E2(s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27i),X0_2E0),s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27i),X1_2E0))) = s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27i),app_2E2(s(tyop_2Emin_2Efun(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27i),tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27i)),app_2E2(s(tyop_2Emin_2Efun(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27i),tyop_2Emin_2Efun(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27i),tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27i))),c_2Ewords_2Eword__mul_2E0),s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27i),X0_2E0))),s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27i),X1_2E0))) ).
fof(arityeq1_2Ec_2Ebitstring_2Ev2w_2E1_2Emono_2EA_27i,axiom,
! [A_27i,X0_2E0] : s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27i),c_2Ebitstring_2Ev2w_2E1(s(tyop_2Elist_2Elist(tyop_2Emin_2Ebool),X0_2E0))) = s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27i),app_2E2(s(tyop_2Emin_2Efun(tyop_2Elist_2Elist(tyop_2Emin_2Ebool),tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27i)),c_2Ebitstring_2Ev2w_2E0),s(tyop_2Elist_2Elist(tyop_2Emin_2Ebool),X0_2E0))) ).
fof(arityeq2_2Ec_2Ewords_2Eword__nand_2E2_2Emono_2EA_27a,axiom,
! [A_27a,X0_2E0,X1_2E0] : s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27a),c_2Ewords_2Eword__nand_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__nand_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_2En2w_2E1_2Emono_2EA_27k,axiom,
! [A_27k,X0_2E0] : s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27k),c_2Ewords_2En2w_2E1(s(tyop_2Enum_2Enum,X0_2E0))) = s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27k),app_2E2(s(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27k)),c_2Ewords_2En2w_2E0),s(tyop_2Enum_2Enum,X0_2E0))) ).
fof(arityeq1_2Ec_2Ebitstring_2Ev2w_2E1_2Emono_2EA_27k,axiom,
! [A_27k,X0_2E0] : s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27k),c_2Ebitstring_2Ev2w_2E1(s(tyop_2Elist_2Elist(tyop_2Emin_2Ebool),X0_2E0))) = s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27k),app_2E2(s(tyop_2Emin_2Efun(tyop_2Elist_2Elist(tyop_2Emin_2Ebool),tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27k)),c_2Ebitstring_2Ev2w_2E0),s(tyop_2Elist_2Elist(tyop_2Emin_2Ebool),X0_2E0))) ).
fof(arityeq2_2Ec_2Ewords_2Eword__nand_2E2_2Emono_2EA_27k,axiom,
! [A_27k,X0_2E0,X1_2E0] : s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27k),c_2Ewords_2Eword__nand_2E2(s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27k),X0_2E0),s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27k),X1_2E0))) = s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27k),app_2E2(s(tyop_2Emin_2Efun(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27k),tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27k)),app_2E2(s(tyop_2Emin_2Efun(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27k),tyop_2Emin_2Efun(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27k),tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27k))),c_2Ewords_2Eword__nand_2E0),s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27k),X0_2E0))),s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27k),X1_2E0))) ).
fof(arityeq2_2Ec_2Ewords_2Eword__nand_2E2_2Emono_2EA_27l,axiom,
! [A_27l,X0_2E0,X1_2E0] : s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27l),c_2Ewords_2Eword__nand_2E2(s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27l),X0_2E0),s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27l),X1_2E0))) = s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27l),app_2E2(s(tyop_2Emin_2Efun(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27l),tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27l)),app_2E2(s(tyop_2Emin_2Efun(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27l),tyop_2Emin_2Efun(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27l),tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27l))),c_2Ewords_2Eword__nand_2E0),s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27l),X0_2E0))),s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27l),X1_2E0))) ).
fof(arityeq2_2Ec_2Ewords_2Eword__nor_2E2_2Emono_2EA_27a,axiom,
! [A_27a,X0_2E0,X1_2E0] : s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27a),c_2Ewords_2Eword__nor_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__nor_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__nor_2E2_2Emono_2EA_27i,axiom,
! [A_27i,X0_2E0,X1_2E0] : s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27i),c_2Ewords_2Eword__nor_2E2(s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27i),X0_2E0),s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27i),X1_2E0))) = s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27i),app_2E2(s(tyop_2Emin_2Efun(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27i),tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27i)),app_2E2(s(tyop_2Emin_2Efun(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27i),tyop_2Emin_2Efun(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27i),tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27i))),c_2Ewords_2Eword__nor_2E0),s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27i),X0_2E0))),s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27i),X1_2E0))) ).
fof(arityeq1_2Ec_2Ewords_2En2w_2E1_2Emono_2EA_27j,axiom,
! [A_27j,X0_2E0] : s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27j),c_2Ewords_2En2w_2E1(s(tyop_2Enum_2Enum,X0_2E0))) = s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27j),app_2E2(s(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27j)),c_2Ewords_2En2w_2E0),s(tyop_2Enum_2Enum,X0_2E0))) ).
fof(arityeq1_2Ec_2Ebitstring_2Ev2w_2E1_2Emono_2EA_27j,axiom,
! [A_27j,X0_2E0] : s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27j),c_2Ebitstring_2Ev2w_2E1(s(tyop_2Elist_2Elist(tyop_2Emin_2Ebool),X0_2E0))) = s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27j),app_2E2(s(tyop_2Emin_2Efun(tyop_2Elist_2Elist(tyop_2Emin_2Ebool),tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27j)),c_2Ebitstring_2Ev2w_2E0),s(tyop_2Elist_2Elist(tyop_2Emin_2Ebool),X0_2E0))) ).
fof(arityeq2_2Ec_2Ewords_2Eword__nor_2E2_2Emono_2EA_27j,axiom,
! [A_27j,X0_2E0,X1_2E0] : s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27j),c_2Ewords_2Eword__nor_2E2(s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27j),X0_2E0),s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27j),X1_2E0))) = s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27j),app_2E2(s(tyop_2Emin_2Efun(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27j),tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27j)),app_2E2(s(tyop_2Emin_2Efun(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27j),tyop_2Emin_2Efun(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27j),tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27j))),c_2Ewords_2Eword__nor_2E0),s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27j),X0_2E0))),s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27j),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_2EA_27c,axiom,
! [A_27c,X0_2E0,X1_2E0] : s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27c),c_2Ewords_2Eword__or_2E2(s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27c),X0_2E0),s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27c),X1_2E0))) = s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27c),app_2E2(s(tyop_2Emin_2Efun(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27c),tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27c)),app_2E2(s(tyop_2Emin_2Efun(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27c),tyop_2Emin_2Efun(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27c),tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27c))),c_2Ewords_2Eword__or_2E0),s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27c),X0_2E0))),s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27c),X1_2E0))) ).
fof(arityeq2_2Ec_2Ewords_2Eword__or_2E2_2Emono_2EA_27d,axiom,
! [A_27d,X0_2E0,X1_2E0] : s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27d),c_2Ewords_2Eword__or_2E2(s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27d),X0_2E0),s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27d),X1_2E0))) = s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27d),app_2E2(s(tyop_2Emin_2Efun(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27d),tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27d)),app_2E2(s(tyop_2Emin_2Efun(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27d),tyop_2Emin_2Efun(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27d),tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27d))),c_2Ewords_2Eword__or_2E0),s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27d),X0_2E0))),s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27d),X1_2E0))) ).
fof(arityeq2_2Ec_2Ewords_2Eword__quot_2E2_2Emono_2EA_27j,axiom,
! [A_27j,X0_2E0,X1_2E0] : s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27j),c_2Ewords_2Eword__quot_2E2(s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27j),X0_2E0),s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27j),X1_2E0))) = s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27j),app_2E2(s(tyop_2Emin_2Efun(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27j),tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27j)),app_2E2(s(tyop_2Emin_2Efun(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27j),tyop_2Emin_2Efun(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27j),tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27j))),c_2Ewords_2Eword__quot_2E0),s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27j),X0_2E0))),s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27j),X1_2E0))) ).
fof(arityeq2_2Ec_2Ewords_2Eword__quot_2E2_2Emono_2EA_27k,axiom,
! [A_27k,X0_2E0,X1_2E0] : s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27k),c_2Ewords_2Eword__quot_2E2(s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27k),X0_2E0),s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27k),X1_2E0))) = s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27k),app_2E2(s(tyop_2Emin_2Efun(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27k),tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27k)),app_2E2(s(tyop_2Emin_2Efun(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27k),tyop_2Emin_2Efun(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27k),tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27k))),c_2Ewords_2Eword__quot_2E0),s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27k),X0_2E0))),s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27k),X1_2E0))) ).
fof(arityeq2_2Ec_2Ewords_2Eword__reduce_2E2_2Emono_2EA_27a,axiom,
! [A_27a,X0_2E0,X1_2E0] : s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,tyop_2Eone_2Eone),c_2Ewords_2Eword__reduce_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool)),X0_2E0),s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27a),X1_2E0))) = s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,tyop_2Eone_2Eone),app_2E2(s(tyop_2Emin_2Efun(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27a),tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,tyop_2Eone_2Eone)),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool)),tyop_2Emin_2Efun(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27a),tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,tyop_2Eone_2Eone))),c_2Ewords_2Eword__reduce_2E0),s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool)),X0_2E0))),s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27a),X1_2E0))) ).
fof(arityeq2_2Ec_2Ewords_2Eword__ror_2E2_2Emono_2EA_27a,axiom,
! [A_27a,X0_2E0,X1_2E0] : s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27a),c_2Ewords_2Eword__ror_2E2(s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27a),X0_2E0),s(tyop_2Enum_2Enum,X1_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)),app_2E2(s(tyop_2Emin_2Efun(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27a),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27a))),c_2Ewords_2Eword__ror_2E0),s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27a),X0_2E0))),s(tyop_2Enum_2Enum,X1_2E0))) ).
fof(arityeq2_2Ec_2Ewords_2Eword__sub_2E2_2Emono_2EA_27f,axiom,
! [A_27f,X0_2E0,X1_2E0] : s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27f),c_2Ewords_2Eword__sub_2E2(s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27f),X0_2E0),s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27f),X1_2E0))) = s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27f),app_2E2(s(tyop_2Emin_2Efun(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27f),tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27f)),app_2E2(s(tyop_2Emin_2Efun(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27f),tyop_2Emin_2Efun(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27f),tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27f))),c_2Ewords_2Eword__sub_2E0),s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27f),X0_2E0))),s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27f),X1_2E0))) ).
fof(arityeq1_2Ec_2Ewords_2En2w_2E1_2Emono_2EA_27g,axiom,
! [A_27g,X0_2E0] : s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27g),c_2Ewords_2En2w_2E1(s(tyop_2Enum_2Enum,X0_2E0))) = s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27g),app_2E2(s(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27g)),c_2Ewords_2En2w_2E0),s(tyop_2Enum_2Enum,X0_2E0))) ).
fof(arityeq2_2Ec_2Ewords_2Eword__sub_2E2_2Emono_2EA_27g,axiom,
! [A_27g,X0_2E0,X1_2E0] : s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27g),c_2Ewords_2Eword__sub_2E2(s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27g),X0_2E0),s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27g),X1_2E0))) = s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27g),app_2E2(s(tyop_2Emin_2Efun(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27g),tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27g)),app_2E2(s(tyop_2Emin_2Efun(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27g),tyop_2Emin_2Efun(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27g),tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27g))),c_2Ewords_2Eword__sub_2E0),s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27g),X0_2E0))),s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27g),X1_2E0))) ).
fof(arityeq1_2Ec_2Ebitstring_2Ev2w_2E1_2Emono_2EA_27g,axiom,
! [A_27g,X0_2E0] : s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27g),c_2Ebitstring_2Ev2w_2E1(s(tyop_2Elist_2Elist(tyop_2Emin_2Ebool),X0_2E0))) = s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27g),app_2E2(s(tyop_2Emin_2Efun(tyop_2Elist_2Elist(tyop_2Emin_2Ebool),tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27g)),c_2Ebitstring_2Ev2w_2E0),s(tyop_2Elist_2Elist(tyop_2Emin_2Ebool),X0_2E0))) ).
fof(arityeq2_2Ec_2Ewords_2Eword__xnor_2E2_2Emono_2EA_27a,axiom,
! [A_27a,X0_2E0,X1_2E0] : s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27a),c_2Ewords_2Eword__xnor_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__xnor_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__xnor_2E2_2Emono_2EA_27m,axiom,
! [A_27m,X0_2E0,X1_2E0] : s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27m),c_2Ewords_2Eword__xnor_2E2(s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27m),X0_2E0),s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27m),X1_2E0))) = s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27m),app_2E2(s(tyop_2Emin_2Efun(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27m),tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27m)),app_2E2(s(tyop_2Emin_2Efun(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27m),tyop_2Emin_2Efun(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27m),tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27m))),c_2Ewords_2Eword__xnor_2E0),s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27m),X0_2E0))),s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27m),X1_2E0))) ).
fof(arityeq2_2Ec_2Ewords_2Eword__xnor_2E2_2Emono_2EA_27n,axiom,
! [A_27n,X0_2E0,X1_2E0] : s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27n),c_2Ewords_2Eword__xnor_2E2(s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27n),X0_2E0),s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27n),X1_2E0))) = s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27n),app_2E2(s(tyop_2Emin_2Efun(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27n),tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27n)),app_2E2(s(tyop_2Emin_2Efun(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27n),tyop_2Emin_2Efun(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27n),tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27n))),c_2Ewords_2Eword__xnor_2E0),s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27n),X0_2E0))),s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27n),X1_2E0))) ).
fof(arityeq2_2Ec_2Ewords_2Eword__xor_2E2_2Emono_2EA_27a,axiom,
! [A_27a,X0_2E0,X1_2E0] : s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27a),c_2Ewords_2Eword__xor_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__xor_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__xor_2E2_2Emono_2EA_27g,axiom,
! [A_27g,X0_2E0,X1_2E0] : s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27g),c_2Ewords_2Eword__xor_2E2(s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27g),X0_2E0),s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27g),X1_2E0))) = s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27g),app_2E2(s(tyop_2Emin_2Efun(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27g),tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27g)),app_2E2(s(tyop_2Emin_2Efun(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27g),tyop_2Emin_2Efun(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27g),tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27g))),c_2Ewords_2Eword__xor_2E0),s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27g),X0_2E0))),s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27g),X1_2E0))) ).
fof(arityeq2_2Ec_2Ewords_2Eword__xor_2E2_2Emono_2EA_27h,axiom,
! [A_27h,X0_2E0,X1_2E0] : s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27h),c_2Ewords_2Eword__xor_2E2(s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27h),X0_2E0),s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27h),X1_2E0))) = s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27h),app_2E2(s(tyop_2Emin_2Efun(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27h),tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27h)),app_2E2(s(tyop_2Emin_2Efun(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27h),tyop_2Emin_2Efun(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27h),tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27h))),c_2Ewords_2Eword__xor_2E0),s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27h),X0_2E0))),s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27h),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(arityeq2_2Ec_2Ecombin_2EFAIL_2E2_2Emono_2Etyop_2Emin_2Efun_28tyop_2Efcp_2Ecart_28tyop_2Emin_2Ebool_2CA_27a_29_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_29_20mono_2Etyop_2Emin_2Ebool,axiom,
! [A_27a,X0_2E0,X1_2E0] : s(tyop_2Emin_2Efun(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27a),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool)),c_2Ecombin_2EFAIL_2E2(s(tyop_2Emin_2Efun(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27a),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool)),X0_2E0),s(tyop_2Emin_2Ebool,X1_2E0))) = s(tyop_2Emin_2Efun(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27a),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool)),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Efun(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27a),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool))),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27a),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool)),tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Efun(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27a),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool)))),c_2Ecombin_2EFAIL_2E0),s(tyop_2Emin_2Efun(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27a),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool)),X0_2E0))),s(tyop_2Emin_2Ebool,X1_2E0))) ).
fof(arityeq3_2Ec_2Ebool_2ECOND_2E3_2Emono_2Etyop_2Efcp_2Ecart_28tyop_2Emin_2Ebool_2CA_27b_29,axiom,
! [A_27b,X0_2E0,X1_2E0,X2_2E0] : s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27b),c_2Ebool_2ECOND_2E3(s(tyop_2Emin_2Ebool,X0_2E0),s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27b),X1_2E0),s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27b),X2_2E0))) = s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27b),app_2E2(s(tyop_2Emin_2Efun(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27b),tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27b)),app_2E2(s(tyop_2Emin_2Efun(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27b),tyop_2Emin_2Efun(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27b),tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27b))),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Efun(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27b),tyop_2Emin_2Efun(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27b),tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27b)))),c_2Ebool_2ECOND_2E0),s(tyop_2Emin_2Ebool,X0_2E0))),s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27b),X1_2E0))),s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27b),X2_2E0))) ).
fof(arityeq3_2Ec_2Ebool_2ECOND_2E3_2Emono_2Etyop_2Efcp_2Ecart_28tyop_2Emin_2Ebool_2CA_27c_29,axiom,
! [A_27c,X0_2E0,X1_2E0,X2_2E0] : s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27c),c_2Ebool_2ECOND_2E3(s(tyop_2Emin_2Ebool,X0_2E0),s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27c),X1_2E0),s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27c),X2_2E0))) = s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27c),app_2E2(s(tyop_2Emin_2Efun(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27c),tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27c)),app_2E2(s(tyop_2Emin_2Efun(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27c),tyop_2Emin_2Efun(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27c),tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27c))),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Efun(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27c),tyop_2Emin_2Efun(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27c),tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27c)))),c_2Ebool_2ECOND_2E0),s(tyop_2Emin_2Ebool,X0_2E0))),s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27c),X1_2E0))),s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27c),X2_2E0))) ).
fof(arityeq2_2Ec_2Ecombin_2EFAIL_2E2_2Emono_2Etyop_2Emin_2Efun_28tyop_2Efcp_2Ecart_28tyop_2Emin_2Ebool_2CA_27a_29_2Ctyop_2Emin_2Efun_28tyop_2Efcp_2Ecart_28tyop_2Emin_2Ebool_2CA_27b_29_2Ctyop_2Efcp_2Ecart_28tyop_2Emin_2Ebool_2CA_27c_29_29_29_20mono_2Etyop_2Emin_2Ebool,axiom,
! [A_27a,A_27b,A_27c,X0_2E0,X1_2E0] : 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_2Ecombin_2EFAIL_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))),X0_2E0),s(tyop_2Emin_2Ebool,X1_2E0))) = 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))),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,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)))),app_2E2(s(tyop_2Emin_2Efun(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))),tyop_2Emin_2Efun(tyop_2Emin_2Ebool,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_2Ecombin_2EFAIL_2E0),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))),X0_2E0))),s(tyop_2Emin_2Ebool,X1_2E0))) ).
fof(arityeq3_2Ec_2Ebool_2ECOND_2E3_2Emono_2Etyop_2Efcp_2Ecart_28tyop_2Emin_2Ebool_2Ctyop_2Esum_2Esum_28A_27a_2CA_27b_29_29,axiom,
! [A_27a,A_27b,X0_2E0,X1_2E0,X2_2E0] : s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,tyop_2Esum_2Esum(A_27a,A_27b)),c_2Ebool_2ECOND_2E3(s(tyop_2Emin_2Ebool,X0_2E0),s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,tyop_2Esum_2Esum(A_27a,A_27b)),X1_2E0),s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,tyop_2Esum_2Esum(A_27a,A_27b)),X2_2E0))) = s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,tyop_2Esum_2Esum(A_27a,A_27b)),app_2E2(s(tyop_2Emin_2Efun(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,tyop_2Esum_2Esum(A_27a,A_27b)),tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,tyop_2Esum_2Esum(A_27a,A_27b))),app_2E2(s(tyop_2Emin_2Efun(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,tyop_2Esum_2Esum(A_27a,A_27b)),tyop_2Emin_2Efun(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,tyop_2Esum_2Esum(A_27a,A_27b)),tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,tyop_2Esum_2Esum(A_27a,A_27b)))),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Efun(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,tyop_2Esum_2Esum(A_27a,A_27b)),tyop_2Emin_2Efun(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,tyop_2Esum_2Esum(A_27a,A_27b)),tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,tyop_2Esum_2Esum(A_27a,A_27b))))),c_2Ebool_2ECOND_2E0),s(tyop_2Emin_2Ebool,X0_2E0))),s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,tyop_2Esum_2Esum(A_27a,A_27b)),X1_2E0))),s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,tyop_2Esum_2Esum(A_27a,A_27b)),X2_2E0))) ).
fof(arityeq2_2Ec_2Ecombin_2EFAIL_2E2_2Emono_2Etyop_2Emin_2Efun_28tyop_2Efcp_2Ecart_28tyop_2Emin_2Ebool_2CA_27a_29_2Ctyop_2Emin_2Efun_28tyop_2Efcp_2Ecart_28tyop_2Emin_2Ebool_2CA_27b_29_2Ctyop_2Efcp_2Ecart_28tyop_2Emin_2Ebool_2Ctyop_2Esum_2Esum_28A_27a_2CA_27b_29_29_29_29_20mono_2Etyop_2Emin_2Ebool,axiom,
! [A_27a,A_27b,X0_2E0,X1_2E0] : 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,tyop_2Esum_2Esum(A_27a,A_27b)))),c_2Ecombin_2EFAIL_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,tyop_2Esum_2Esum(A_27a,A_27b)))),X0_2E0),s(tyop_2Emin_2Ebool,X1_2E0))) = 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,tyop_2Esum_2Esum(A_27a,A_27b)))),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,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,tyop_2Esum_2Esum(A_27a,A_27b))))),app_2E2(s(tyop_2Emin_2Efun(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,tyop_2Esum_2Esum(A_27a,A_27b)))),tyop_2Emin_2Efun(tyop_2Emin_2Ebool,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,tyop_2Esum_2Esum(A_27a,A_27b)))))),c_2Ecombin_2EFAIL_2E0),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,tyop_2Esum_2Esum(A_27a,A_27b)))),X0_2E0))),s(tyop_2Emin_2Ebool,X1_2E0))) ).
fof(arityeq3_2Ec_2Ebool_2ECOND_2E3_2Emono_2Etyop_2Estring_2Echar,axiom,
! [X0_2E0,X1_2E0,X2_2E0] : s(tyop_2Estring_2Echar,c_2Ebool_2ECOND_2E3(s(tyop_2Emin_2Ebool,X0_2E0),s(tyop_2Estring_2Echar,X1_2E0),s(tyop_2Estring_2Echar,X2_2E0))) = s(tyop_2Estring_2Echar,app_2E2(s(tyop_2Emin_2Efun(tyop_2Estring_2Echar,tyop_2Estring_2Echar),app_2E2(s(tyop_2Emin_2Efun(tyop_2Estring_2Echar,tyop_2Emin_2Efun(tyop_2Estring_2Echar,tyop_2Estring_2Echar)),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Efun(tyop_2Estring_2Echar,tyop_2Emin_2Efun(tyop_2Estring_2Echar,tyop_2Estring_2Echar))),c_2Ebool_2ECOND_2E0),s(tyop_2Emin_2Ebool,X0_2E0))),s(tyop_2Estring_2Echar,X1_2E0))),s(tyop_2Estring_2Echar,X2_2E0))) ).
fof(arityeq2_2Ec_2Elist_2EDROP_2E2_2Emono_2Etyop_2Emin_2Ebool,axiom,
! [X0_2E0,X1_2E0] : s(tyop_2Elist_2Elist(tyop_2Emin_2Ebool),c_2Elist_2EDROP_2E2(s(tyop_2Enum_2Enum,X0_2E0),s(tyop_2Elist_2Elist(tyop_2Emin_2Ebool),X1_2E0))) = s(tyop_2Elist_2Elist(tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Elist_2Elist(tyop_2Emin_2Ebool),tyop_2Elist_2Elist(tyop_2Emin_2Ebool)),app_2E2(s(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Efun(tyop_2Elist_2Elist(tyop_2Emin_2Ebool),tyop_2Elist_2Elist(tyop_2Emin_2Ebool))),c_2Elist_2EDROP_2E0),s(tyop_2Enum_2Enum,X0_2E0))),s(tyop_2Elist_2Elist(tyop_2Emin_2Ebool),X1_2E0))) ).
fof(arityeq1_2Ec_2Elist_2EHD_2E1_2Emono_2EA_27a,axiom,
! [A_27a,X0_2E0] : s(A_27a,c_2Elist_2EHD_2E1(s(tyop_2Elist_2Elist(A_27a),X0_2E0))) = s(A_27a,app_2E2(s(tyop_2Emin_2Efun(tyop_2Elist_2Elist(A_27a),A_27a),c_2Elist_2EHD_2E0),s(tyop_2Elist_2Elist(A_27a),X0_2E0))) ).
fof(arityeq3_2Ec_2Elist_2EPAD__LEFT_2E3_2Emono_2Etyop_2Emin_2Ebool,axiom,
! [X0_2E0,X1_2E0,X2_2E0] : s(tyop_2Elist_2Elist(tyop_2Emin_2Ebool),c_2Elist_2EPAD__LEFT_2E3(s(tyop_2Emin_2Ebool,X0_2E0),s(tyop_2Enum_2Enum,X1_2E0),s(tyop_2Elist_2Elist(tyop_2Emin_2Ebool),X2_2E0))) = s(tyop_2Elist_2Elist(tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Elist_2Elist(tyop_2Emin_2Ebool),tyop_2Elist_2Elist(tyop_2Emin_2Ebool)),app_2E2(s(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Efun(tyop_2Elist_2Elist(tyop_2Emin_2Ebool),tyop_2Elist_2Elist(tyop_2Emin_2Ebool))),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Efun(tyop_2Elist_2Elist(tyop_2Emin_2Ebool),tyop_2Elist_2Elist(tyop_2Emin_2Ebool)))),c_2Elist_2EPAD__LEFT_2E0),s(tyop_2Emin_2Ebool,X0_2E0))),s(tyop_2Enum_2Enum,X1_2E0))),s(tyop_2Elist_2Elist(tyop_2Emin_2Ebool),X2_2E0))) ).
fof(arityeq3_2Ec_2Elist_2EPAD__RIGHT_2E3_2Emono_2Etyop_2Emin_2Ebool,axiom,
! [X0_2E0,X1_2E0,X2_2E0] : s(tyop_2Elist_2Elist(tyop_2Emin_2Ebool),c_2Elist_2EPAD__RIGHT_2E3(s(tyop_2Emin_2Ebool,X0_2E0),s(tyop_2Enum_2Enum,X1_2E0),s(tyop_2Elist_2Elist(tyop_2Emin_2Ebool),X2_2E0))) = s(tyop_2Elist_2Elist(tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Elist_2Elist(tyop_2Emin_2Ebool),tyop_2Elist_2Elist(tyop_2Emin_2Ebool)),app_2E2(s(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Efun(tyop_2Elist_2Elist(tyop_2Emin_2Ebool),tyop_2Elist_2Elist(tyop_2Emin_2Ebool))),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Efun(tyop_2Elist_2Elist(tyop_2Emin_2Ebool),tyop_2Elist_2Elist(tyop_2Emin_2Ebool)))),c_2Elist_2EPAD__RIGHT_2E0),s(tyop_2Emin_2Ebool,X0_2E0))),s(tyop_2Enum_2Enum,X1_2E0))),s(tyop_2Elist_2Elist(tyop_2Emin_2Ebool),X2_2E0))) ).
fof(arityeq3_2Ec_2Ebitstring_2Ebitwise_2E3,axiom,
! [X0_2E0,X1_2E0,X2_2E0] : s(tyop_2Elist_2Elist(tyop_2Emin_2Ebool),c_2Ebitstring_2Ebitwise_2E3(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool)),X0_2E0),s(tyop_2Elist_2Elist(tyop_2Emin_2Ebool),X1_2E0),s(tyop_2Elist_2Elist(tyop_2Emin_2Ebool),X2_2E0))) = s(tyop_2Elist_2Elist(tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Elist_2Elist(tyop_2Emin_2Ebool),tyop_2Elist_2Elist(tyop_2Emin_2Ebool)),app_2E2(s(tyop_2Emin_2Efun(tyop_2Elist_2Elist(tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Elist_2Elist(tyop_2Emin_2Ebool),tyop_2Elist_2Elist(tyop_2Emin_2Ebool))),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool)),tyop_2Emin_2Efun(tyop_2Elist_2Elist(tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Elist_2Elist(tyop_2Emin_2Ebool),tyop_2Elist_2Elist(tyop_2Emin_2Ebool)))),c_2Ebitstring_2Ebitwise_2E0),s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool)),X0_2E0))),s(tyop_2Elist_2Elist(tyop_2Emin_2Ebool),X1_2E0))),s(tyop_2Elist_2Elist(tyop_2Emin_2Ebool),X2_2E0))) ).
fof(arityeq3_2Ec_2Ebitstring_2Efield__insert_2E3,axiom,
! [X0_2E0,X1_2E0,X2_2E0] : s(tyop_2Emin_2Efun(tyop_2Elist_2Elist(tyop_2Emin_2Ebool),tyop_2Elist_2Elist(tyop_2Emin_2Ebool)),c_2Ebitstring_2Efield__insert_2E3(s(tyop_2Enum_2Enum,X0_2E0),s(tyop_2Enum_2Enum,X1_2E0),s(tyop_2Elist_2Elist(tyop_2Emin_2Ebool),X2_2E0))) = s(tyop_2Emin_2Efun(tyop_2Elist_2Elist(tyop_2Emin_2Ebool),tyop_2Elist_2Elist(tyop_2Emin_2Ebool)),app_2E2(s(tyop_2Emin_2Efun(tyop_2Elist_2Elist(tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Elist_2Elist(tyop_2Emin_2Ebool),tyop_2Elist_2Elist(tyop_2Emin_2Ebool))),app_2E2(s(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Efun(tyop_2Elist_2Elist(tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Elist_2Elist(tyop_2Emin_2Ebool),tyop_2Elist_2Elist(tyop_2Emin_2Ebool)))),app_2E2(s(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Efun(tyop_2Elist_2Elist(tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Elist_2Elist(tyop_2Emin_2Ebool),tyop_2Elist_2Elist(tyop_2Emin_2Ebool))))),c_2Ebitstring_2Efield__insert_2E0),s(tyop_2Enum_2Enum,X0_2E0))),s(tyop_2Enum_2Enum,X1_2E0))),s(tyop_2Elist_2Elist(tyop_2Emin_2Ebool),X2_2E0))) ).
fof(arityeq3_2Ec_2Ewords_2Eword__extract_2E3_2Emono_2EA_27a_20mono_2EA_27b,axiom,
! [A_27a,A_27b,X0_2E0,X1_2E0,X2_2E0] : s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27b),c_2Ewords_2Eword__extract_2E3(s(tyop_2Enum_2Enum,X0_2E0),s(tyop_2Enum_2Enum,X1_2E0),s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27a),X2_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)),app_2E2(s(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Efun(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27a),tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27b))),app_2E2(s(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Efun(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27a),tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27b)))),c_2Ewords_2Eword__extract_2E0),s(tyop_2Enum_2Enum,X0_2E0))),s(tyop_2Enum_2Enum,X1_2E0))),s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27a),X2_2E0))) ).
fof(arityeq3_2Ec_2Ewords_2Eword__slice_2E3_2Emono_2EA_27a,axiom,
! [A_27a,X0_2E0,X1_2E0,X2_2E0] : s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27a),c_2Ewords_2Eword__slice_2E3(s(tyop_2Enum_2Enum,X0_2E0),s(tyop_2Enum_2Enum,X1_2E0),s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27a),X2_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_2Enum_2Enum,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_2Enum_2Enum,tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Efun(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27a),tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27a)))),c_2Ewords_2Eword__slice_2E0),s(tyop_2Enum_2Enum,X0_2E0))),s(tyop_2Enum_2Enum,X1_2E0))),s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27a),X2_2E0))) ).
fof(thm_2Ebitstring_2Eextend__def,axiom,
( ! [V0v0_2E0,V1l_2E0] : s(tyop_2Elist_2Elist(tyop_2Emin_2Ebool),c_2Ebitstring_2Eextend_2E3(s(tyop_2Emin_2Ebool,V0v0_2E0),s(tyop_2Enum_2Enum,c_2Enum_2E0_2E0),s(tyop_2Elist_2Elist(tyop_2Emin_2Ebool),V1l_2E0))) = s(tyop_2Elist_2Elist(tyop_2Emin_2Ebool),V1l_2E0)
& ! [V2c_2E0,V3n_2E0,V4l_2E0] : s(tyop_2Elist_2Elist(tyop_2Emin_2Ebool),c_2Ebitstring_2Eextend_2E3(s(tyop_2Emin_2Ebool,V2c_2E0),s(tyop_2Enum_2Enum,c_2Enum_2ESUC_2E1(s(tyop_2Enum_2Enum,V3n_2E0))),s(tyop_2Elist_2Elist(tyop_2Emin_2Ebool),V4l_2E0))) = s(tyop_2Elist_2Elist(tyop_2Emin_2Ebool),c_2Ebitstring_2Eextend_2E3(s(tyop_2Emin_2Ebool,V2c_2E0),s(tyop_2Enum_2Enum,V3n_2E0),s(tyop_2Elist_2Elist(tyop_2Emin_2Ebool),c_2Elist_2ECONS_2E2(s(tyop_2Emin_2Ebool,V2c_2E0),s(tyop_2Elist_2Elist(tyop_2Emin_2Ebool),V4l_2E0))))) ) ).
fof(thm_2Ebitstring_2Eboolify__def,axiom,
! [F0_2E0] :
( ! [V2n_2E0] :
( p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),F0_2E0),s(tyop_2Enum_2Enum,V2n_2E0))))
<=> s(tyop_2Enum_2Enum,V2n_2E0) != s(tyop_2Enum_2Enum,c_2Enum_2E0_2E0) )
=> ( ! [V0a_2E0] : s(tyop_2Elist_2Elist(tyop_2Emin_2Ebool),c_2Ebitstring_2Eboolify_2E2(s(tyop_2Elist_2Elist(tyop_2Emin_2Ebool),V0a_2E0),s(tyop_2Elist_2Elist(tyop_2Enum_2Enum),c_2Elist_2ENIL_2E0))) = s(tyop_2Elist_2Elist(tyop_2Emin_2Ebool),V0a_2E0)
& ! [V1a_2E0,V2n_2E0,V3l_2E0] : s(tyop_2Elist_2Elist(tyop_2Emin_2Ebool),c_2Ebitstring_2Eboolify_2E2(s(tyop_2Elist_2Elist(tyop_2Emin_2Ebool),V1a_2E0),s(tyop_2Elist_2Elist(tyop_2Enum_2Enum),c_2Elist_2ECONS_2E2(s(tyop_2Enum_2Enum,V2n_2E0),s(tyop_2Elist_2Elist(tyop_2Enum_2Enum),V3l_2E0))))) = s(tyop_2Elist_2Elist(tyop_2Emin_2Ebool),c_2Ebitstring_2Eboolify_2E2(s(tyop_2Elist_2Elist(tyop_2Emin_2Ebool),c_2Elist_2ECONS_2E2(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),F0_2E0),s(tyop_2Enum_2Enum,V2n_2E0))),s(tyop_2Elist_2Elist(tyop_2Emin_2Ebool),V1a_2E0))),s(tyop_2Elist_2Elist(tyop_2Enum_2Enum),V3l_2E0))) ) ) ).
fof(thm_2Ebitstring_2En2v__def,axiom,
! [V0n_2E0] : s(tyop_2Elist_2Elist(tyop_2Emin_2Ebool),c_2Ebitstring_2En2v_2E1(s(tyop_2Enum_2Enum,V0n_2E0))) = s(tyop_2Elist_2Elist(tyop_2Emin_2Ebool),c_2Ebitstring_2Eboolify_2E2(s(tyop_2Elist_2Elist(tyop_2Emin_2Ebool),c_2Elist_2ENIL_2E0),s(tyop_2Elist_2Elist(tyop_2Enum_2Enum),c_2Enumposrep_2Enum__to__bin__list_2E1(s(tyop_2Enum_2Enum,V0n_2E0))))) ).
fof(thm_2Ebitstring_2Ev2n__def,axiom,
! [V0l_2E0] : s(tyop_2Enum_2Enum,c_2Ebitstring_2Ev2n_2E1(s(tyop_2Elist_2Elist(tyop_2Emin_2Ebool),V0l_2E0))) = s(tyop_2Enum_2Enum,c_2Enumposrep_2Enum__from__bin__list_2E1(s(tyop_2Elist_2Elist(tyop_2Enum_2Enum),c_2Ebitstring_2Ebitify_2E2(s(tyop_2Elist_2Elist(tyop_2Enum_2Enum),c_2Elist_2ENIL_2E0),s(tyop_2Elist_2Elist(tyop_2Emin_2Ebool),V0l_2E0))))) ).
fof(thm_2Ebitstring_2Es2v__def,axiom,
! [F0_2E0] :
( ! [V0c_2E0] :
( p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(tyop_2Estring_2Echar,tyop_2Emin_2Ebool),F0_2E0),s(tyop_2Estring_2Echar,V0c_2E0))))
<=> ( s(tyop_2Estring_2Echar,V0c_2E0) = s(tyop_2Estring_2Echar,c_2Estring_2ECHR_2E1(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_2EBIT1_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EBIT1_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EBIT2_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EZERO_2E0)))))))))))))))
| s(tyop_2Estring_2Echar,V0c_2E0) = s(tyop_2Estring_2Echar,c_2Estring_2ECHR_2E1(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_2EBIT2_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EBIT1_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))))))))))))))))) ) )
=> s(tyop_2Emin_2Efun(tyop_2Elist_2Elist(tyop_2Estring_2Echar),tyop_2Elist_2Elist(tyop_2Emin_2Ebool)),c_2Ebitstring_2Es2v_2E0) = s(tyop_2Emin_2Efun(tyop_2Elist_2Elist(tyop_2Estring_2Echar),tyop_2Elist_2Elist(tyop_2Emin_2Ebool)),c_2Elist_2EMAP_2E1(s(tyop_2Emin_2Efun(tyop_2Estring_2Echar,tyop_2Emin_2Ebool),F0_2E0))) ) ).
fof(thm_2Ebitstring_2Ev2s__def,axiom,
! [F0_2E0] :
( ! [V0b_2E0] : s(tyop_2Estring_2Echar,app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Estring_2Echar),F0_2E0),s(tyop_2Emin_2Ebool,V0b_2E0))) = s(tyop_2Estring_2Echar,c_2Ebool_2ECOND_2E3(s(tyop_2Emin_2Ebool,V0b_2E0),s(tyop_2Estring_2Echar,c_2Estring_2ECHR_2E1(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_2EBIT1_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EBIT1_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EBIT2_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EZERO_2E0))))))))))))))),s(tyop_2Estring_2Echar,c_2Estring_2ECHR_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2ENUMERAL_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EBIT2_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EBIT1_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EBIT1_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EBIT1_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EBIT2_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EZERO_2E0)))))))))))))))))
=> s(tyop_2Emin_2Efun(tyop_2Elist_2Elist(tyop_2Emin_2Ebool),tyop_2Elist_2Elist(tyop_2Estring_2Echar)),c_2Ebitstring_2Ev2s_2E0) = s(tyop_2Emin_2Efun(tyop_2Elist_2Elist(tyop_2Emin_2Ebool),tyop_2Elist_2Elist(tyop_2Estring_2Echar)),c_2Elist_2EMAP_2E1(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Estring_2Echar),F0_2E0))) ) ).
fof(thm_2Ebitstring_2Ezero__extend__def,axiom,
! [V0n_2E0,V1v_2E0] : s(tyop_2Elist_2Elist(tyop_2Emin_2Ebool),c_2Ebitstring_2Ezero__extend_2E2(s(tyop_2Enum_2Enum,V0n_2E0),s(tyop_2Elist_2Elist(tyop_2Emin_2Ebool),V1v_2E0))) = s(tyop_2Elist_2Elist(tyop_2Emin_2Ebool),c_2Elist_2EPAD__LEFT_2E3(s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0),s(tyop_2Enum_2Enum,V0n_2E0),s(tyop_2Elist_2Elist(tyop_2Emin_2Ebool),V1v_2E0))) ).
fof(thm_2Ebitstring_2Esign__extend__def,axiom,
! [A_27a,V0n_2E0,V1v_2E0] : s(tyop_2Elist_2Elist(A_27a),c_2Ebitstring_2Esign__extend_2E2(s(tyop_2Enum_2Enum,V0n_2E0),s(tyop_2Elist_2Elist(A_27a),V1v_2E0))) = s(tyop_2Elist_2Elist(A_27a),c_2Elist_2EPAD__LEFT_2E3(s(A_27a,c_2Elist_2EHD_2E1(s(tyop_2Elist_2Elist(A_27a),V1v_2E0))),s(tyop_2Enum_2Enum,V0n_2E0),s(tyop_2Elist_2Elist(A_27a),V1v_2E0))) ).
fof(thm_2Ebitstring_2Efixwidth__def,axiom,
! [F0_2E0] :
( ! [V0n_2E0,V1v_2E0,V2l_2E0] : s(tyop_2Elist_2Elist(tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Elist_2Elist(tyop_2Emin_2Ebool)),app_2E2(s(tyop_2Emin_2Efun(tyop_2Elist_2Elist(tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Elist_2Elist(tyop_2Emin_2Ebool))),app_2E2(s(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Efun(tyop_2Elist_2Elist(tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Elist_2Elist(tyop_2Emin_2Ebool)))),F0_2E0),s(tyop_2Enum_2Enum,V0n_2E0))),s(tyop_2Elist_2Elist(tyop_2Emin_2Ebool),V1v_2E0))),s(tyop_2Enum_2Enum,V2l_2E0))) = s(tyop_2Elist_2Elist(tyop_2Emin_2Ebool),c_2Ebool_2ECOND_2E3(s(tyop_2Emin_2Ebool,c_2Eprim__rec_2E_3C_2E2(s(tyop_2Enum_2Enum,V2l_2E0),s(tyop_2Enum_2Enum,V0n_2E0))),s(tyop_2Elist_2Elist(tyop_2Emin_2Ebool),c_2Ebitstring_2Ezero__extend_2E2(s(tyop_2Enum_2Enum,V0n_2E0),s(tyop_2Elist_2Elist(tyop_2Emin_2Ebool),V1v_2E0))),s(tyop_2Elist_2Elist(tyop_2Emin_2Ebool),c_2Elist_2EDROP_2E2(s(tyop_2Enum_2Enum,c_2Earithmetic_2E_2D_2E2(s(tyop_2Enum_2Enum,V2l_2E0),s(tyop_2Enum_2Enum,V0n_2E0))),s(tyop_2Elist_2Elist(tyop_2Emin_2Ebool),V1v_2E0)))))
=> ! [V0n_2E0,V1v_2E0] : s(tyop_2Elist_2Elist(tyop_2Emin_2Ebool),c_2Ebitstring_2Efixwidth_2E2(s(tyop_2Enum_2Enum,V0n_2E0),s(tyop_2Elist_2Elist(tyop_2Emin_2Ebool),V1v_2E0))) = s(tyop_2Elist_2Elist(tyop_2Emin_2Ebool),c_2Ebool_2ELET_2E2(s(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Elist_2Elist(tyop_2Emin_2Ebool)),app_2E2(s(tyop_2Emin_2Efun(tyop_2Elist_2Elist(tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Elist_2Elist(tyop_2Emin_2Ebool))),app_2E2(s(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Efun(tyop_2Elist_2Elist(tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Elist_2Elist(tyop_2Emin_2Ebool)))),F0_2E0),s(tyop_2Enum_2Enum,V0n_2E0))),s(tyop_2Elist_2Elist(tyop_2Emin_2Ebool),V1v_2E0))),s(tyop_2Enum_2Enum,c_2Elist_2ELENGTH_2E1(s(tyop_2Elist_2Elist(tyop_2Emin_2Ebool),V1v_2E0))))) ) ).
fof(thm_2Ebitstring_2Eshiftl__def,axiom,
! [V0v_2E0,V1m_2E0] : s(tyop_2Elist_2Elist(tyop_2Emin_2Ebool),c_2Ebitstring_2Eshiftl_2E2(s(tyop_2Elist_2Elist(tyop_2Emin_2Ebool),V0v_2E0),s(tyop_2Enum_2Enum,V1m_2E0))) = s(tyop_2Elist_2Elist(tyop_2Emin_2Ebool),c_2Elist_2EPAD__RIGHT_2E3(s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0),s(tyop_2Enum_2Enum,c_2Earithmetic_2E_2B_2E2(s(tyop_2Enum_2Enum,c_2Elist_2ELENGTH_2E1(s(tyop_2Elist_2Elist(tyop_2Emin_2Ebool),V0v_2E0))),s(tyop_2Enum_2Enum,V1m_2E0))),s(tyop_2Elist_2Elist(tyop_2Emin_2Ebool),V0v_2E0))) ).
fof(thm_2Ebitstring_2Eshiftr__def,axiom,
! [V0v_2E0,V1m_2E0] : s(tyop_2Elist_2Elist(tyop_2Emin_2Ebool),c_2Ebitstring_2Eshiftr_2E2(s(tyop_2Elist_2Elist(tyop_2Emin_2Ebool),V0v_2E0),s(tyop_2Enum_2Enum,V1m_2E0))) = s(tyop_2Elist_2Elist(tyop_2Emin_2Ebool),c_2Elist_2ETAKE_2E2(s(tyop_2Enum_2Enum,c_2Earithmetic_2E_2D_2E2(s(tyop_2Enum_2Enum,c_2Elist_2ELENGTH_2E1(s(tyop_2Elist_2Elist(tyop_2Emin_2Ebool),V0v_2E0))),s(tyop_2Enum_2Enum,V1m_2E0))),s(tyop_2Elist_2Elist(tyop_2Emin_2Ebool),V0v_2E0))) ).
fof(thm_2Ebitstring_2Efield__def,axiom,
! [V0h_2E0,V1l_2E0,V2v_2E0] : s(tyop_2Elist_2Elist(tyop_2Emin_2Ebool),c_2Ebitstring_2Efield_2E3(s(tyop_2Enum_2Enum,V0h_2E0),s(tyop_2Enum_2Enum,V1l_2E0),s(tyop_2Elist_2Elist(tyop_2Emin_2Ebool),V2v_2E0))) = s(tyop_2Elist_2Elist(tyop_2Emin_2Ebool),c_2Ebitstring_2Efixwidth_2E2(s(tyop_2Enum_2Enum,c_2Earithmetic_2E_2D_2E2(s(tyop_2Enum_2Enum,c_2Enum_2ESUC_2E1(s(tyop_2Enum_2Enum,V0h_2E0))),s(tyop_2Enum_2Enum,V1l_2E0))),s(tyop_2Elist_2Elist(tyop_2Emin_2Ebool),c_2Ebitstring_2Eshiftr_2E2(s(tyop_2Elist_2Elist(tyop_2Emin_2Ebool),V2v_2E0),s(tyop_2Enum_2Enum,V1l_2E0))))) ).
fof(thm_2Ebitstring_2Erotate__def,axiom,
! [F2_2E0,F1_2E0,F0_2E0] :
( ! [V2l_2E0,V3x_2E0] :
( p(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)),F2_2E0),s(tyop_2Enum_2Enum,V2l_2E0))),s(tyop_2Enum_2Enum,V3x_2E0))))
<=> ( s(tyop_2Enum_2Enum,V2l_2E0) = s(tyop_2Enum_2Enum,c_2Enum_2E0_2E0)
| s(tyop_2Enum_2Enum,V3x_2E0) = s(tyop_2Enum_2Enum,c_2Enum_2E0_2E0) ) )
=> ( ! [V2l_2E0,V0v_2E0,V3x_2E0] : s(tyop_2Elist_2Elist(tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Elist_2Elist(tyop_2Emin_2Ebool)),app_2E2(s(tyop_2Emin_2Efun(tyop_2Elist_2Elist(tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Elist_2Elist(tyop_2Emin_2Ebool))),app_2E2(s(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Efun(tyop_2Elist_2Elist(tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Elist_2Elist(tyop_2Emin_2Ebool)))),F1_2E0),s(tyop_2Enum_2Enum,V2l_2E0))),s(tyop_2Elist_2Elist(tyop_2Emin_2Ebool),V0v_2E0))),s(tyop_2Enum_2Enum,V3x_2E0))) = s(tyop_2Elist_2Elist(tyop_2Emin_2Ebool),c_2Ebool_2ECOND_2E3(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)),F2_2E0),s(tyop_2Enum_2Enum,V2l_2E0))),s(tyop_2Enum_2Enum,V3x_2E0))),s(tyop_2Elist_2Elist(tyop_2Emin_2Ebool),V0v_2E0),s(tyop_2Elist_2Elist(tyop_2Emin_2Ebool),c_2Elist_2EAPPEND_2E2(s(tyop_2Elist_2Elist(tyop_2Emin_2Ebool),c_2Ebitstring_2Efield_2E3(s(tyop_2Enum_2Enum,c_2Earithmetic_2E_2D_2E2(s(tyop_2Enum_2Enum,V3x_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))))))),s(tyop_2Enum_2Enum,c_2Enum_2E0_2E0),s(tyop_2Elist_2Elist(tyop_2Emin_2Ebool),V0v_2E0))),s(tyop_2Elist_2Elist(tyop_2Emin_2Ebool),c_2Ebitstring_2Efield_2E3(s(tyop_2Enum_2Enum,c_2Earithmetic_2E_2D_2E2(s(tyop_2Enum_2Enum,V2l_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))))))),s(tyop_2Enum_2Enum,V3x_2E0),s(tyop_2Elist_2Elist(tyop_2Emin_2Ebool),V0v_2E0)))))))
=> ( ! [V0v_2E0,V1m_2E0,V2l_2E0] : s(tyop_2Elist_2Elist(tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Elist_2Elist(tyop_2Emin_2Ebool)),app_2E2(s(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Elist_2Elist(tyop_2Emin_2Ebool))),app_2E2(s(tyop_2Emin_2Efun(tyop_2Elist_2Elist(tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Elist_2Elist(tyop_2Emin_2Ebool)))),F0_2E0),s(tyop_2Elist_2Elist(tyop_2Emin_2Ebool),V0v_2E0))),s(tyop_2Enum_2Enum,V1m_2E0))),s(tyop_2Enum_2Enum,V2l_2E0))) = s(tyop_2Elist_2Elist(tyop_2Emin_2Ebool),c_2Ebool_2ELET_2E2(s(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Elist_2Elist(tyop_2Emin_2Ebool)),app_2E2(s(tyop_2Emin_2Efun(tyop_2Elist_2Elist(tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Elist_2Elist(tyop_2Emin_2Ebool))),app_2E2(s(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Efun(tyop_2Elist_2Elist(tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Elist_2Elist(tyop_2Emin_2Ebool)))),F1_2E0),s(tyop_2Enum_2Enum,V2l_2E0))),s(tyop_2Elist_2Elist(tyop_2Emin_2Ebool),V0v_2E0))),s(tyop_2Enum_2Enum,c_2Earithmetic_2EMOD_2E2(s(tyop_2Enum_2Enum,V1m_2E0),s(tyop_2Enum_2Enum,V2l_2E0)))))
=> ! [V0v_2E0,V1m_2E0] : s(tyop_2Elist_2Elist(tyop_2Emin_2Ebool),c_2Ebitstring_2Erotate_2E2(s(tyop_2Elist_2Elist(tyop_2Emin_2Ebool),V0v_2E0),s(tyop_2Enum_2Enum,V1m_2E0))) = s(tyop_2Elist_2Elist(tyop_2Emin_2Ebool),c_2Ebool_2ELET_2E2(s(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Elist_2Elist(tyop_2Emin_2Ebool)),app_2E2(s(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Elist_2Elist(tyop_2Emin_2Ebool))),app_2E2(s(tyop_2Emin_2Efun(tyop_2Elist_2Elist(tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Elist_2Elist(tyop_2Emin_2Ebool)))),F0_2E0),s(tyop_2Elist_2Elist(tyop_2Emin_2Ebool),V0v_2E0))),s(tyop_2Enum_2Enum,V1m_2E0))),s(tyop_2Enum_2Enum,c_2Elist_2ELENGTH_2E1(s(tyop_2Elist_2Elist(tyop_2Emin_2Ebool),V0v_2E0))))) ) ) ) ).
fof(thm_2Ebitstring_2Etestbit__def,axiom,
! [V0b_2E0,V1v_2E0] :
( p(s(tyop_2Emin_2Ebool,c_2Ebitstring_2Etestbit_2E2(s(tyop_2Enum_2Enum,V0b_2E0),s(tyop_2Elist_2Elist(tyop_2Emin_2Ebool),V1v_2E0))))
<=> s(tyop_2Elist_2Elist(tyop_2Emin_2Ebool),c_2Ebitstring_2Efield_2E3(s(tyop_2Enum_2Enum,V0b_2E0),s(tyop_2Enum_2Enum,V0b_2E0),s(tyop_2Elist_2Elist(tyop_2Emin_2Ebool),V1v_2E0))) = s(tyop_2Elist_2Elist(tyop_2Emin_2Ebool),c_2Elist_2ECONS_2E2(s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0),s(tyop_2Elist_2Elist(tyop_2Emin_2Ebool),c_2Elist_2ENIL_2E0))) ) ).
fof(thm_2Ebitstring_2Ew2v__def,axiom,
! [A_27a,F0_2E0] :
( ! [V0w_2E0,V1i_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)),F0_2E0),s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27a),V0w_2E0))),s(tyop_2Enum_2Enum,V1i_2E0))) = s(tyop_2Emin_2Ebool,c_2Efcp_2Efcp__index_2E2(s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27a),V0w_2E0),s(tyop_2Enum_2Enum,c_2Earithmetic_2E_2D_2E2(s(tyop_2Enum_2Enum,c_2Earithmetic_2E_2D_2E2(s(tyop_2Enum_2Enum,c_2Efcp_2Edimindex_2E1(s(tyop_2Ebool_2Eitself(A_27a),c_2Ebool_2Ethe__value_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))))))),s(tyop_2Enum_2Enum,V1i_2E0)))))
=> ! [V0w_2E0] : s(tyop_2Elist_2Elist(tyop_2Emin_2Ebool),c_2Ebitstring_2Ew2v_2E1(s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27a),V0w_2E0))) = s(tyop_2Elist_2Elist(tyop_2Emin_2Ebool),c_2Elist_2EGENLIST_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)),F0_2E0),s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27a),V0w_2E0))),s(tyop_2Enum_2Enum,c_2Efcp_2Edimindex_2E1(s(tyop_2Ebool_2Eitself(A_27a),c_2Ebool_2Ethe__value_2E0))))) ) ).
fof(thm_2Ebitstring_2Ev2w__def,axiom,
! [A_27a,F0_2E0] :
( ! [V0v_2E0,V1i_2E0] : s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Elist_2Elist(tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool)),F0_2E0),s(tyop_2Elist_2Elist(tyop_2Emin_2Ebool),V0v_2E0))),s(tyop_2Enum_2Enum,V1i_2E0))) = s(tyop_2Emin_2Ebool,c_2Ebitstring_2Etestbit_2E2(s(tyop_2Enum_2Enum,V1i_2E0),s(tyop_2Elist_2Elist(tyop_2Emin_2Ebool),V0v_2E0)))
=> ! [V0v_2E0] : s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27a),c_2Ebitstring_2Ev2w_2E1(s(tyop_2Elist_2Elist(tyop_2Emin_2Ebool),V0v_2E0))) = s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27a),c_2Efcp_2EFCP_2E1(s(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Elist_2Elist(tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool)),F0_2E0),s(tyop_2Elist_2Elist(tyop_2Emin_2Ebool),V0v_2E0))))) ) ).
fof(thm_2Ebitstring_2Erev__count__list__def,axiom,
! [F0_2E0] :
( ! [V0n_2E0,V1i_2E0] : s(tyop_2Enum_2Enum,app_2E2(s(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Enum_2Enum),app_2E2(s(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Enum_2Enum)),F0_2E0),s(tyop_2Enum_2Enum,V0n_2E0))),s(tyop_2Enum_2Enum,V1i_2E0))) = s(tyop_2Enum_2Enum,c_2Earithmetic_2E_2D_2E2(s(tyop_2Enum_2Enum,c_2Earithmetic_2E_2D_2E2(s(tyop_2Enum_2Enum,V0n_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))))))),s(tyop_2Enum_2Enum,V1i_2E0)))
=> ! [V0n_2E0] : s(tyop_2Elist_2Elist(tyop_2Enum_2Enum),c_2Ebitstring_2Erev__count__list_2E1(s(tyop_2Enum_2Enum,V0n_2E0))) = s(tyop_2Elist_2Elist(tyop_2Enum_2Enum),c_2Elist_2EGENLIST_2E2(s(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Enum_2Enum),app_2E2(s(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Enum_2Enum)),F0_2E0),s(tyop_2Enum_2Enum,V0n_2E0))),s(tyop_2Enum_2Enum,V0n_2E0))) ) ).
fof(thm_2Ebitstring_2Emodify__def,axiom,
! [V0f_2E0,V1v_2E0] : s(tyop_2Elist_2Elist(tyop_2Emin_2Ebool),c_2Ebitstring_2Emodify_2E2(s(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool)),V0f_2E0),s(tyop_2Elist_2Elist(tyop_2Emin_2Ebool),V1v_2E0))) = s(tyop_2Elist_2Elist(tyop_2Emin_2Ebool),c_2Elist_2EMAP_2E2(s(tyop_2Emin_2Efun(tyop_2Epair_2Eprod(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Ebool),c_2Epair_2EUNCURRY_2E1(s(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool)),V0f_2E0))),s(tyop_2Elist_2Elist(tyop_2Epair_2Eprod(tyop_2Enum_2Enum,tyop_2Emin_2Ebool)),c_2Elist_2EZIP_2E1(s(tyop_2Epair_2Eprod(tyop_2Elist_2Elist(tyop_2Enum_2Enum),tyop_2Elist_2Elist(tyop_2Emin_2Ebool)),c_2Epair_2E_2C_2E2(s(tyop_2Elist_2Elist(tyop_2Enum_2Enum),c_2Ebitstring_2Erev__count__list_2E1(s(tyop_2Enum_2Enum,c_2Elist_2ELENGTH_2E1(s(tyop_2Elist_2Elist(tyop_2Emin_2Ebool),V1v_2E0))))),s(tyop_2Elist_2Elist(tyop_2Emin_2Ebool),V1v_2E0))))))) ).
fof(thm_2Ebitstring_2Efield__insert__def,axiom,
! [F1_2E0,F0_2E0] :
( ! [V1l_2E0,V3i_2E0,V0h_2E0] :
( p(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)),app_2E2(s(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool))),F1_2E0),s(tyop_2Enum_2Enum,V1l_2E0))),s(tyop_2Enum_2Enum,V3i_2E0))),s(tyop_2Enum_2Enum,V0h_2E0))))
<=> ( p(s(tyop_2Emin_2Ebool,c_2Earithmetic_2E_3C_3D_2E2(s(tyop_2Enum_2Enum,V1l_2E0),s(tyop_2Enum_2Enum,V3i_2E0))))
& p(s(tyop_2Emin_2Ebool,c_2Earithmetic_2E_3C_3D_2E2(s(tyop_2Enum_2Enum,V3i_2E0),s(tyop_2Enum_2Enum,V0h_2E0)))) ) )
=> ( ! [V1l_2E0,V0h_2E0,V2s_2E0,V3i_2E0] : s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool)),app_2E2(s(tyop_2Emin_2Efun(tyop_2Elist_2Elist(tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool))),app_2E2(s(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Efun(tyop_2Elist_2Elist(tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool)))),app_2E2(s(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Efun(tyop_2Elist_2Elist(tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool))))),F0_2E0),s(tyop_2Enum_2Enum,V1l_2E0))),s(tyop_2Enum_2Enum,V0h_2E0))),s(tyop_2Elist_2Elist(tyop_2Emin_2Ebool),V2s_2E0))),s(tyop_2Enum_2Enum,V3i_2E0))) = s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool),c_2Ebool_2ECOND_2E2(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)),app_2E2(s(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool))),F1_2E0),s(tyop_2Enum_2Enum,V1l_2E0))),s(tyop_2Enum_2Enum,V3i_2E0))),s(tyop_2Enum_2Enum,V0h_2E0))),s(tyop_2Emin_2Ebool,c_2Ebitstring_2Etestbit_2E2(s(tyop_2Enum_2Enum,c_2Earithmetic_2E_2D_2E2(s(tyop_2Enum_2Enum,V3i_2E0),s(tyop_2Enum_2Enum,V1l_2E0))),s(tyop_2Elist_2Elist(tyop_2Emin_2Ebool),V2s_2E0)))))
=> ! [V0h_2E0,V1l_2E0,V2s_2E0] : s(tyop_2Emin_2Efun(tyop_2Elist_2Elist(tyop_2Emin_2Ebool),tyop_2Elist_2Elist(tyop_2Emin_2Ebool)),c_2Ebitstring_2Efield__insert_2E3(s(tyop_2Enum_2Enum,V0h_2E0),s(tyop_2Enum_2Enum,V1l_2E0),s(tyop_2Elist_2Elist(tyop_2Emin_2Ebool),V2s_2E0))) = s(tyop_2Emin_2Efun(tyop_2Elist_2Elist(tyop_2Emin_2Ebool),tyop_2Elist_2Elist(tyop_2Emin_2Ebool)),c_2Ebitstring_2Emodify_2E1(s(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool)),app_2E2(s(tyop_2Emin_2Efun(tyop_2Elist_2Elist(tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool))),app_2E2(s(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Efun(tyop_2Elist_2Elist(tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool)))),app_2E2(s(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Efun(tyop_2Elist_2Elist(tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool))))),F0_2E0),s(tyop_2Enum_2Enum,V1l_2E0))),s(tyop_2Enum_2Enum,V0h_2E0))),s(tyop_2Elist_2Elist(tyop_2Emin_2Ebool),V2s_2E0))))) ) ) ).
fof(thm_2Ebitstring_2Eadd__def,axiom,
! [F0_2E0] :
( ! [V0a_2E0,V1b_2E0,V2m_2E0] : s(tyop_2Elist_2Elist(tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Elist_2Elist(tyop_2Emin_2Ebool)),app_2E2(s(tyop_2Emin_2Efun(tyop_2Elist_2Elist(tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Elist_2Elist(tyop_2Emin_2Ebool))),app_2E2(s(tyop_2Emin_2Efun(tyop_2Elist_2Elist(tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Elist_2Elist(tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Elist_2Elist(tyop_2Emin_2Ebool)))),F0_2E0),s(tyop_2Elist_2Elist(tyop_2Emin_2Ebool),V0a_2E0))),s(tyop_2Elist_2Elist(tyop_2Emin_2Ebool),V1b_2E0))),s(tyop_2Enum_2Enum,V2m_2E0))) = s(tyop_2Elist_2Elist(tyop_2Emin_2Ebool),c_2Ebitstring_2Ezero__extend_2E2(s(tyop_2Enum_2Enum,V2m_2E0),s(tyop_2Elist_2Elist(tyop_2Emin_2Ebool),c_2Ebitstring_2En2v_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2E_2B_2E2(s(tyop_2Enum_2Enum,c_2Ebitstring_2Ev2n_2E1(s(tyop_2Elist_2Elist(tyop_2Emin_2Ebool),V0a_2E0))),s(tyop_2Enum_2Enum,c_2Ebitstring_2Ev2n_2E1(s(tyop_2Elist_2Elist(tyop_2Emin_2Ebool),V1b_2E0)))))))))
=> ! [V0a_2E0,V1b_2E0] : s(tyop_2Elist_2Elist(tyop_2Emin_2Ebool),c_2Ebitstring_2Eadd_2E2(s(tyop_2Elist_2Elist(tyop_2Emin_2Ebool),V0a_2E0),s(tyop_2Elist_2Elist(tyop_2Emin_2Ebool),V1b_2E0))) = s(tyop_2Elist_2Elist(tyop_2Emin_2Ebool),c_2Ebool_2ELET_2E2(s(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Elist_2Elist(tyop_2Emin_2Ebool)),app_2E2(s(tyop_2Emin_2Efun(tyop_2Elist_2Elist(tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Elist_2Elist(tyop_2Emin_2Ebool))),app_2E2(s(tyop_2Emin_2Efun(tyop_2Elist_2Elist(tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Elist_2Elist(tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Elist_2Elist(tyop_2Emin_2Ebool)))),F0_2E0),s(tyop_2Elist_2Elist(tyop_2Emin_2Ebool),V0a_2E0))),s(tyop_2Elist_2Elist(tyop_2Emin_2Ebool),V1b_2E0))),s(tyop_2Enum_2Enum,c_2Earithmetic_2EMAX_2E2(s(tyop_2Enum_2Enum,c_2Elist_2ELENGTH_2E1(s(tyop_2Elist_2Elist(tyop_2Emin_2Ebool),V0a_2E0))),s(tyop_2Enum_2Enum,c_2Elist_2ELENGTH_2E1(s(tyop_2Elist_2Elist(tyop_2Emin_2Ebool),V1b_2E0))))))) ) ).
fof(thm_2Ebitstring_2Ebitwise__def,axiom,
! [F0_2E0] :
( ! [V0f_2E0,V1v1_2E0,V2v2_2E0,V3m_2E0] : s(tyop_2Elist_2Elist(tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Elist_2Elist(tyop_2Emin_2Ebool)),app_2E2(s(tyop_2Emin_2Efun(tyop_2Elist_2Elist(tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Elist_2Elist(tyop_2Emin_2Ebool))),app_2E2(s(tyop_2Emin_2Efun(tyop_2Elist_2Elist(tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Elist_2Elist(tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Elist_2Elist(tyop_2Emin_2Ebool)))),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool)),tyop_2Emin_2Efun(tyop_2Elist_2Elist(tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Elist_2Elist(tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Elist_2Elist(tyop_2Emin_2Ebool))))),F0_2E0),s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool)),V0f_2E0))),s(tyop_2Elist_2Elist(tyop_2Emin_2Ebool),V1v1_2E0))),s(tyop_2Elist_2Elist(tyop_2Emin_2Ebool),V2v2_2E0))),s(tyop_2Enum_2Enum,V3m_2E0))) = s(tyop_2Elist_2Elist(tyop_2Emin_2Ebool),c_2Elist_2EMAP_2E2(s(tyop_2Emin_2Efun(tyop_2Epair_2Eprod(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool),tyop_2Emin_2Ebool),c_2Epair_2EUNCURRY_2E1(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool)),V0f_2E0))),s(tyop_2Elist_2Elist(tyop_2Epair_2Eprod(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool)),c_2Elist_2EZIP_2E1(s(tyop_2Epair_2Eprod(tyop_2Elist_2Elist(tyop_2Emin_2Ebool),tyop_2Elist_2Elist(tyop_2Emin_2Ebool)),c_2Epair_2E_2C_2E2(s(tyop_2Elist_2Elist(tyop_2Emin_2Ebool),c_2Ebitstring_2Efixwidth_2E2(s(tyop_2Enum_2Enum,V3m_2E0),s(tyop_2Elist_2Elist(tyop_2Emin_2Ebool),V1v1_2E0))),s(tyop_2Elist_2Elist(tyop_2Emin_2Ebool),c_2Ebitstring_2Efixwidth_2E2(s(tyop_2Enum_2Enum,V3m_2E0),s(tyop_2Elist_2Elist(tyop_2Emin_2Ebool),V2v2_2E0)))))))))
=> ! [V0f_2E0,V1v1_2E0,V2v2_2E0] : s(tyop_2Elist_2Elist(tyop_2Emin_2Ebool),c_2Ebitstring_2Ebitwise_2E3(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool)),V0f_2E0),s(tyop_2Elist_2Elist(tyop_2Emin_2Ebool),V1v1_2E0),s(tyop_2Elist_2Elist(tyop_2Emin_2Ebool),V2v2_2E0))) = s(tyop_2Elist_2Elist(tyop_2Emin_2Ebool),c_2Ebool_2ELET_2E2(s(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Elist_2Elist(tyop_2Emin_2Ebool)),app_2E2(s(tyop_2Emin_2Efun(tyop_2Elist_2Elist(tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Elist_2Elist(tyop_2Emin_2Ebool))),app_2E2(s(tyop_2Emin_2Efun(tyop_2Elist_2Elist(tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Elist_2Elist(tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Elist_2Elist(tyop_2Emin_2Ebool)))),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool)),tyop_2Emin_2Efun(tyop_2Elist_2Elist(tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Elist_2Elist(tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Elist_2Elist(tyop_2Emin_2Ebool))))),F0_2E0),s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool)),V0f_2E0))),s(tyop_2Elist_2Elist(tyop_2Emin_2Ebool),V1v1_2E0))),s(tyop_2Elist_2Elist(tyop_2Emin_2Ebool),V2v2_2E0))),s(tyop_2Enum_2Enum,c_2Earithmetic_2EMAX_2E2(s(tyop_2Enum_2Enum,c_2Elist_2ELENGTH_2E1(s(tyop_2Elist_2Elist(tyop_2Emin_2Ebool),V1v1_2E0))),s(tyop_2Enum_2Enum,c_2Elist_2ELENGTH_2E1(s(tyop_2Elist_2Elist(tyop_2Emin_2Ebool),V2v2_2E0))))))) ) ).
fof(thm_2Ebitstring_2Ebnot__def,axiom,
s(tyop_2Emin_2Efun(tyop_2Elist_2Elist(tyop_2Emin_2Ebool),tyop_2Elist_2Elist(tyop_2Emin_2Ebool)),c_2Ebitstring_2Ebnot_2E0) = s(tyop_2Emin_2Efun(tyop_2Elist_2Elist(tyop_2Emin_2Ebool),tyop_2Elist_2Elist(tyop_2Emin_2Ebool)),c_2Elist_2EMAP_2E1(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool),c_2Ebool_2E_7E_2E0))) ).
fof(thm_2Ebitstring_2Ebor__def,axiom,
s(tyop_2Emin_2Efun(tyop_2Elist_2Elist(tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Elist_2Elist(tyop_2Emin_2Ebool),tyop_2Elist_2Elist(tyop_2Emin_2Ebool))),c_2Ebitstring_2Ebor_2E0) = s(tyop_2Emin_2Efun(tyop_2Elist_2Elist(tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Elist_2Elist(tyop_2Emin_2Ebool),tyop_2Elist_2Elist(tyop_2Emin_2Ebool))),c_2Ebitstring_2Ebitwise_2E1(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool)),c_2Ebool_2E_5C_2F_2E0))) ).
fof(thm_2Ebitstring_2Eband__def,axiom,
s(tyop_2Emin_2Efun(tyop_2Elist_2Elist(tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Elist_2Elist(tyop_2Emin_2Ebool),tyop_2Elist_2Elist(tyop_2Emin_2Ebool))),c_2Ebitstring_2Eband_2E0) = s(tyop_2Emin_2Efun(tyop_2Elist_2Elist(tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Elist_2Elist(tyop_2Emin_2Ebool),tyop_2Elist_2Elist(tyop_2Emin_2Ebool))),c_2Ebitstring_2Ebitwise_2E1(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool)),c_2Ebool_2E_2F_5C_2E0))) ).
fof(thm_2Ebitstring_2Ebxor__def,axiom,
! [F0_2E0] :
( ! [V0x_2E0,V1y_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,V0x_2E0))),s(tyop_2Emin_2Ebool,V1y_2E0))))
<=> s(tyop_2Emin_2Ebool,V0x_2E0) != s(tyop_2Emin_2Ebool,V1y_2E0) )
=> s(tyop_2Emin_2Efun(tyop_2Elist_2Elist(tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Elist_2Elist(tyop_2Emin_2Ebool),tyop_2Elist_2Elist(tyop_2Emin_2Ebool))),c_2Ebitstring_2Ebxor_2E0) = s(tyop_2Emin_2Efun(tyop_2Elist_2Elist(tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Elist_2Elist(tyop_2Emin_2Ebool),tyop_2Elist_2Elist(tyop_2Emin_2Ebool))),c_2Ebitstring_2Ebitwise_2E1(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool)),F0_2E0))) ) ).
fof(thm_2Ebitstring_2Ebnor__def,axiom,
! [F0_2E0] :
( ! [V0x_2E0,V1y_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,V0x_2E0))),s(tyop_2Emin_2Ebool,V1y_2E0))))
<=> ~ ( p(s(tyop_2Emin_2Ebool,V0x_2E0))
| p(s(tyop_2Emin_2Ebool,V1y_2E0)) ) )
=> s(tyop_2Emin_2Efun(tyop_2Elist_2Elist(tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Elist_2Elist(tyop_2Emin_2Ebool),tyop_2Elist_2Elist(tyop_2Emin_2Ebool))),c_2Ebitstring_2Ebnor_2E0) = s(tyop_2Emin_2Efun(tyop_2Elist_2Elist(tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Elist_2Elist(tyop_2Emin_2Ebool),tyop_2Elist_2Elist(tyop_2Emin_2Ebool))),c_2Ebitstring_2Ebitwise_2E1(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool)),F0_2E0))) ) ).
fof(thm_2Ebitstring_2Ebxnor__def,axiom,
s(tyop_2Emin_2Efun(tyop_2Elist_2Elist(tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Elist_2Elist(tyop_2Emin_2Ebool),tyop_2Elist_2Elist(tyop_2Emin_2Ebool))),c_2Ebitstring_2Ebxnor_2E0) = s(tyop_2Emin_2Efun(tyop_2Elist_2Elist(tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Elist_2Elist(tyop_2Emin_2Ebool),tyop_2Elist_2Elist(tyop_2Emin_2Ebool))),c_2Ebitstring_2Ebitwise_2E1(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool)),c_2Emin_2E_3D_2E0))) ).
fof(thm_2Ebitstring_2Ebnand__def,axiom,
! [F0_2E0] :
( ! [V0x_2E0,V1y_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,V0x_2E0))),s(tyop_2Emin_2Ebool,V1y_2E0))))
<=> ~ ( p(s(tyop_2Emin_2Ebool,V0x_2E0))
& p(s(tyop_2Emin_2Ebool,V1y_2E0)) ) )
=> s(tyop_2Emin_2Efun(tyop_2Elist_2Elist(tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Elist_2Elist(tyop_2Emin_2Ebool),tyop_2Elist_2Elist(tyop_2Emin_2Ebool))),c_2Ebitstring_2Ebnand_2E0) = s(tyop_2Emin_2Efun(tyop_2Elist_2Elist(tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Elist_2Elist(tyop_2Emin_2Ebool),tyop_2Elist_2Elist(tyop_2Emin_2Ebool))),c_2Ebitstring_2Ebitwise_2E1(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool)),F0_2E0))) ) ).
fof(thm_2Ebitstring_2Ereplicate__def,axiom,
! [V0v_2E0,V1n_2E0] : s(tyop_2Elist_2Elist(tyop_2Emin_2Ebool),c_2Ebitstring_2Ereplicate_2E2(s(tyop_2Elist_2Elist(tyop_2Emin_2Ebool),V0v_2E0),s(tyop_2Enum_2Enum,V1n_2E0))) = s(tyop_2Elist_2Elist(tyop_2Emin_2Ebool),c_2Elist_2EFLAT_2E1(s(tyop_2Elist_2Elist(tyop_2Elist_2Elist(tyop_2Emin_2Ebool)),c_2Elist_2EGENLIST_2E2(s(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Elist_2Elist(tyop_2Emin_2Ebool)),c_2Ecombin_2EK_2E1(s(tyop_2Elist_2Elist(tyop_2Emin_2Ebool),V0v_2E0))),s(tyop_2Enum_2Enum,V1n_2E0))))) ).
fof(thm_2Ebitstring_2Eextend__def__compute,axiom,
( ! [V0v0_2E0,V1l_2E0] : s(tyop_2Elist_2Elist(tyop_2Emin_2Ebool),c_2Ebitstring_2Eextend_2E3(s(tyop_2Emin_2Ebool,V0v0_2E0),s(tyop_2Enum_2Enum,c_2Enum_2E0_2E0),s(tyop_2Elist_2Elist(tyop_2Emin_2Ebool),V1l_2E0))) = s(tyop_2Elist_2Elist(tyop_2Emin_2Ebool),V1l_2E0)
& ! [V2c_2E0,V3n_2E0,V4l_2E0] : s(tyop_2Elist_2Elist(tyop_2Emin_2Ebool),c_2Ebitstring_2Eextend_2E3(s(tyop_2Emin_2Ebool,V2c_2E0),s(tyop_2Enum_2Enum,c_2Earithmetic_2ENUMERAL_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EBIT1_2E1(s(tyop_2Enum_2Enum,V3n_2E0))))),s(tyop_2Elist_2Elist(tyop_2Emin_2Ebool),V4l_2E0))) = s(tyop_2Elist_2Elist(tyop_2Emin_2Ebool),c_2Ebitstring_2Eextend_2E3(s(tyop_2Emin_2Ebool,V2c_2E0),s(tyop_2Enum_2Enum,c_2Earithmetic_2E_2D_2E2(s(tyop_2Enum_2Enum,c_2Earithmetic_2ENUMERAL_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EBIT1_2E1(s(tyop_2Enum_2Enum,V3n_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))))))),s(tyop_2Elist_2Elist(tyop_2Emin_2Ebool),c_2Elist_2ECONS_2E2(s(tyop_2Emin_2Ebool,V2c_2E0),s(tyop_2Elist_2Elist(tyop_2Emin_2Ebool),V4l_2E0)))))
& ! [V5c_2E0,V6n_2E0,V7l_2E0] : s(tyop_2Elist_2Elist(tyop_2Emin_2Ebool),c_2Ebitstring_2Eextend_2E3(s(tyop_2Emin_2Ebool,V5c_2E0),s(tyop_2Enum_2Enum,c_2Earithmetic_2ENUMERAL_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EBIT2_2E1(s(tyop_2Enum_2Enum,V6n_2E0))))),s(tyop_2Elist_2Elist(tyop_2Emin_2Ebool),V7l_2E0))) = s(tyop_2Elist_2Elist(tyop_2Emin_2Ebool),c_2Ebitstring_2Eextend_2E3(s(tyop_2Emin_2Ebool,V5c_2E0),s(tyop_2Enum_2Enum,c_2Earithmetic_2ENUMERAL_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EBIT1_2E1(s(tyop_2Enum_2Enum,V6n_2E0))))),s(tyop_2Elist_2Elist(tyop_2Emin_2Ebool),c_2Elist_2ECONS_2E2(s(tyop_2Emin_2Ebool,V5c_2E0),s(tyop_2Elist_2Elist(tyop_2Emin_2Ebool),V7l_2E0))))) ) ).
fof(thm_2Ebitstring_2Ebitify__ind,axiom,
! [V0P_2E0] :
( ( ! [V1a_2E0] : p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(tyop_2Elist_2Elist(tyop_2Emin_2Ebool),tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Elist_2Elist(tyop_2Enum_2Enum),tyop_2Emin_2Efun(tyop_2Elist_2Elist(tyop_2Emin_2Ebool),tyop_2Emin_2Ebool)),V0P_2E0),s(tyop_2Elist_2Elist(tyop_2Enum_2Enum),V1a_2E0))),s(tyop_2Elist_2Elist(tyop_2Emin_2Ebool),c_2Elist_2ENIL_2E0))))
& ! [V2a_2E0,V3l_2E0] :
( p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(tyop_2Elist_2Elist(tyop_2Emin_2Ebool),tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Elist_2Elist(tyop_2Enum_2Enum),tyop_2Emin_2Efun(tyop_2Elist_2Elist(tyop_2Emin_2Ebool),tyop_2Emin_2Ebool)),V0P_2E0),s(tyop_2Elist_2Elist(tyop_2Enum_2Enum),c_2Elist_2ECONS_2E2(s(tyop_2Enum_2Enum,c_2Enum_2E0_2E0),s(tyop_2Elist_2Elist(tyop_2Enum_2Enum),V2a_2E0))))),s(tyop_2Elist_2Elist(tyop_2Emin_2Ebool),V3l_2E0))))
=> p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(tyop_2Elist_2Elist(tyop_2Emin_2Ebool),tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Elist_2Elist(tyop_2Enum_2Enum),tyop_2Emin_2Efun(tyop_2Elist_2Elist(tyop_2Emin_2Ebool),tyop_2Emin_2Ebool)),V0P_2E0),s(tyop_2Elist_2Elist(tyop_2Enum_2Enum),V2a_2E0))),s(tyop_2Elist_2Elist(tyop_2Emin_2Ebool),c_2Elist_2ECONS_2E2(s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0),s(tyop_2Elist_2Elist(tyop_2Emin_2Ebool),V3l_2E0)))))) )
& ! [V4a_2E0,V5l_2E0] :
( p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(tyop_2Elist_2Elist(tyop_2Emin_2Ebool),tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Elist_2Elist(tyop_2Enum_2Enum),tyop_2Emin_2Efun(tyop_2Elist_2Elist(tyop_2Emin_2Ebool),tyop_2Emin_2Ebool)),V0P_2E0),s(tyop_2Elist_2Elist(tyop_2Enum_2Enum),c_2Elist_2ECONS_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_2Elist_2Elist(tyop_2Enum_2Enum),V4a_2E0))))),s(tyop_2Elist_2Elist(tyop_2Emin_2Ebool),V5l_2E0))))
=> p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(tyop_2Elist_2Elist(tyop_2Emin_2Ebool),tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Elist_2Elist(tyop_2Enum_2Enum),tyop_2Emin_2Efun(tyop_2Elist_2Elist(tyop_2Emin_2Ebool),tyop_2Emin_2Ebool)),V0P_2E0),s(tyop_2Elist_2Elist(tyop_2Enum_2Enum),V4a_2E0))),s(tyop_2Elist_2Elist(tyop_2Emin_2Ebool),c_2Elist_2ECONS_2E2(s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0),s(tyop_2Elist_2Elist(tyop_2Emin_2Ebool),V5l_2E0)))))) ) )
=> ! [V6v_2E0,V7v1_2E0] : p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(tyop_2Elist_2Elist(tyop_2Emin_2Ebool),tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Elist_2Elist(tyop_2Enum_2Enum),tyop_2Emin_2Efun(tyop_2Elist_2Elist(tyop_2Emin_2Ebool),tyop_2Emin_2Ebool)),V0P_2E0),s(tyop_2Elist_2Elist(tyop_2Enum_2Enum),V6v_2E0))),s(tyop_2Elist_2Elist(tyop_2Emin_2Ebool),V7v1_2E0)))) ) ).
fof(thm_2Ebitstring_2Ebitify__def,axiom,
( ! [V0a_2E0] : s(tyop_2Elist_2Elist(tyop_2Enum_2Enum),c_2Ebitstring_2Ebitify_2E2(s(tyop_2Elist_2Elist(tyop_2Enum_2Enum),V0a_2E0),s(tyop_2Elist_2Elist(tyop_2Emin_2Ebool),c_2Elist_2ENIL_2E0))) = s(tyop_2Elist_2Elist(tyop_2Enum_2Enum),V0a_2E0)
& ! [V1l_2E0,V2a_2E0] : s(tyop_2Elist_2Elist(tyop_2Enum_2Enum),c_2Ebitstring_2Ebitify_2E2(s(tyop_2Elist_2Elist(tyop_2Enum_2Enum),V2a_2E0),s(tyop_2Elist_2Elist(tyop_2Emin_2Ebool),c_2Elist_2ECONS_2E2(s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0),s(tyop_2Elist_2Elist(tyop_2Emin_2Ebool),V1l_2E0))))) = s(tyop_2Elist_2Elist(tyop_2Enum_2Enum),c_2Ebitstring_2Ebitify_2E2(s(tyop_2Elist_2Elist(tyop_2Enum_2Enum),c_2Elist_2ECONS_2E2(s(tyop_2Enum_2Enum,c_2Enum_2E0_2E0),s(tyop_2Elist_2Elist(tyop_2Enum_2Enum),V2a_2E0))),s(tyop_2Elist_2Elist(tyop_2Emin_2Ebool),V1l_2E0)))
& ! [V3l_2E0,V4a_2E0] : s(tyop_2Elist_2Elist(tyop_2Enum_2Enum),c_2Ebitstring_2Ebitify_2E2(s(tyop_2Elist_2Elist(tyop_2Enum_2Enum),V4a_2E0),s(tyop_2Elist_2Elist(tyop_2Emin_2Ebool),c_2Elist_2ECONS_2E2(s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0),s(tyop_2Elist_2Elist(tyop_2Emin_2Ebool),V3l_2E0))))) = s(tyop_2Elist_2Elist(tyop_2Enum_2Enum),c_2Ebitstring_2Ebitify_2E2(s(tyop_2Elist_2Elist(tyop_2Enum_2Enum),c_2Elist_2ECONS_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_2Elist_2Elist(tyop_2Enum_2Enum),V4a_2E0))),s(tyop_2Elist_2Elist(tyop_2Emin_2Ebool),V3l_2E0))) ) ).
fof(thm_2Ebitstring_2Eextend__cons,axiom,
! [V0n_2E0,V1c_2E0,V2l_2E0] : s(tyop_2Elist_2Elist(tyop_2Emin_2Ebool),c_2Ebitstring_2Eextend_2E3(s(tyop_2Emin_2Ebool,V1c_2E0),s(tyop_2Enum_2Enum,c_2Enum_2ESUC_2E1(s(tyop_2Enum_2Enum,V0n_2E0))),s(tyop_2Elist_2Elist(tyop_2Emin_2Ebool),V2l_2E0))) = s(tyop_2Elist_2Elist(tyop_2Emin_2Ebool),c_2Elist_2ECONS_2E2(s(tyop_2Emin_2Ebool,V1c_2E0),s(tyop_2Elist_2Elist(tyop_2Emin_2Ebool),c_2Ebitstring_2Eextend_2E3(s(tyop_2Emin_2Ebool,V1c_2E0),s(tyop_2Enum_2Enum,V0n_2E0),s(tyop_2Elist_2Elist(tyop_2Emin_2Ebool),V2l_2E0))))) ).
fof(thm_2Ebitstring_2Epad__left__extend,axiom,
! [V0n_2E0,V1l_2E0,V2c_2E0] : s(tyop_2Elist_2Elist(tyop_2Emin_2Ebool),c_2Elist_2EPAD__LEFT_2E3(s(tyop_2Emin_2Ebool,V2c_2E0),s(tyop_2Enum_2Enum,V0n_2E0),s(tyop_2Elist_2Elist(tyop_2Emin_2Ebool),V1l_2E0))) = s(tyop_2Elist_2Elist(tyop_2Emin_2Ebool),c_2Ebitstring_2Eextend_2E3(s(tyop_2Emin_2Ebool,V2c_2E0),s(tyop_2Enum_2Enum,c_2Earithmetic_2E_2D_2E2(s(tyop_2Enum_2Enum,V0n_2E0),s(tyop_2Enum_2Enum,c_2Elist_2ELENGTH_2E1(s(tyop_2Elist_2Elist(tyop_2Emin_2Ebool),V1l_2E0))))),s(tyop_2Elist_2Elist(tyop_2Emin_2Ebool),V1l_2E0))) ).
fof(thm_2Ebitstring_2Eextend,axiom,
( ! [V0n_2E0,V1v_2E0] : s(tyop_2Elist_2Elist(tyop_2Emin_2Ebool),c_2Ebitstring_2Ezero__extend_2E2(s(tyop_2Enum_2Enum,V0n_2E0),s(tyop_2Elist_2Elist(tyop_2Emin_2Ebool),V1v_2E0))) = s(tyop_2Elist_2Elist(tyop_2Emin_2Ebool),c_2Ebitstring_2Eextend_2E3(s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0),s(tyop_2Enum_2Enum,c_2Earithmetic_2E_2D_2E2(s(tyop_2Enum_2Enum,V0n_2E0),s(tyop_2Enum_2Enum,c_2Elist_2ELENGTH_2E1(s(tyop_2Elist_2Elist(tyop_2Emin_2Ebool),V1v_2E0))))),s(tyop_2Elist_2Elist(tyop_2Emin_2Ebool),V1v_2E0)))
& ! [V2n_2E0,V3v_2E0] : s(tyop_2Elist_2Elist(tyop_2Emin_2Ebool),c_2Ebitstring_2Esign__extend_2E2(s(tyop_2Enum_2Enum,V2n_2E0),s(tyop_2Elist_2Elist(tyop_2Emin_2Ebool),V3v_2E0))) = s(tyop_2Elist_2Elist(tyop_2Emin_2Ebool),c_2Ebitstring_2Eextend_2E3(s(tyop_2Emin_2Ebool,c_2Elist_2EHD_2E1(s(tyop_2Elist_2Elist(tyop_2Emin_2Ebool),V3v_2E0))),s(tyop_2Enum_2Enum,c_2Earithmetic_2E_2D_2E2(s(tyop_2Enum_2Enum,V2n_2E0),s(tyop_2Enum_2Enum,c_2Elist_2ELENGTH_2E1(s(tyop_2Elist_2Elist(tyop_2Emin_2Ebool),V3v_2E0))))),s(tyop_2Elist_2Elist(tyop_2Emin_2Ebool),V3v_2E0))) ) ).
fof(thm_2Ebitstring_2Efixwidth,axiom,
! [F0_2E0] :
( ! [V0n_2E0,V1v_2E0,V2l_2E0] : s(tyop_2Elist_2Elist(tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Elist_2Elist(tyop_2Emin_2Ebool)),app_2E2(s(tyop_2Emin_2Efun(tyop_2Elist_2Elist(tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Elist_2Elist(tyop_2Emin_2Ebool))),app_2E2(s(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Efun(tyop_2Elist_2Elist(tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Elist_2Elist(tyop_2Emin_2Ebool)))),F0_2E0),s(tyop_2Enum_2Enum,V0n_2E0))),s(tyop_2Elist_2Elist(tyop_2Emin_2Ebool),V1v_2E0))),s(tyop_2Enum_2Enum,V2l_2E0))) = s(tyop_2Elist_2Elist(tyop_2Emin_2Ebool),c_2Ebool_2ECOND_2E3(s(tyop_2Emin_2Ebool,c_2Eprim__rec_2E_3C_2E2(s(tyop_2Enum_2Enum,V2l_2E0),s(tyop_2Enum_2Enum,V0n_2E0))),s(tyop_2Elist_2Elist(tyop_2Emin_2Ebool),c_2Ebitstring_2Eextend_2E3(s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0),s(tyop_2Enum_2Enum,c_2Earithmetic_2E_2D_2E2(s(tyop_2Enum_2Enum,V0n_2E0),s(tyop_2Enum_2Enum,V2l_2E0))),s(tyop_2Elist_2Elist(tyop_2Emin_2Ebool),V1v_2E0))),s(tyop_2Elist_2Elist(tyop_2Emin_2Ebool),c_2Elist_2EDROP_2E2(s(tyop_2Enum_2Enum,c_2Earithmetic_2E_2D_2E2(s(tyop_2Enum_2Enum,V2l_2E0),s(tyop_2Enum_2Enum,V0n_2E0))),s(tyop_2Elist_2Elist(tyop_2Emin_2Ebool),V1v_2E0)))))
=> ! [V0n_2E0,V1v_2E0] : s(tyop_2Elist_2Elist(tyop_2Emin_2Ebool),c_2Ebitstring_2Efixwidth_2E2(s(tyop_2Enum_2Enum,V0n_2E0),s(tyop_2Elist_2Elist(tyop_2Emin_2Ebool),V1v_2E0))) = s(tyop_2Elist_2Elist(tyop_2Emin_2Ebool),c_2Ebool_2ELET_2E2(s(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Elist_2Elist(tyop_2Emin_2Ebool)),app_2E2(s(tyop_2Emin_2Efun(tyop_2Elist_2Elist(tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Elist_2Elist(tyop_2Emin_2Ebool))),app_2E2(s(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Efun(tyop_2Elist_2Elist(tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Elist_2Elist(tyop_2Emin_2Ebool)))),F0_2E0),s(tyop_2Enum_2Enum,V0n_2E0))),s(tyop_2Elist_2Elist(tyop_2Emin_2Ebool),V1v_2E0))),s(tyop_2Enum_2Enum,c_2Elist_2ELENGTH_2E1(s(tyop_2Elist_2Elist(tyop_2Emin_2Ebool),V1v_2E0))))) ) ).
fof(thm_2Ebitstring_2Efixwidth__id,axiom,
! [V0w_2E0] : s(tyop_2Elist_2Elist(tyop_2Emin_2Ebool),c_2Ebitstring_2Efixwidth_2E2(s(tyop_2Enum_2Enum,c_2Elist_2ELENGTH_2E1(s(tyop_2Elist_2Elist(tyop_2Emin_2Ebool),V0w_2E0))),s(tyop_2Elist_2Elist(tyop_2Emin_2Ebool),V0w_2E0))) = s(tyop_2Elist_2Elist(tyop_2Emin_2Ebool),V0w_2E0) ).
fof(thm_2Ebitstring_2Efixwidth__id__imp,axiom,
! [V0n_2E0,V1w_2E0] :
( s(tyop_2Enum_2Enum,V0n_2E0) = s(tyop_2Enum_2Enum,c_2Elist_2ELENGTH_2E1(s(tyop_2Elist_2Elist(tyop_2Emin_2Ebool),V1w_2E0)))
=> s(tyop_2Elist_2Elist(tyop_2Emin_2Ebool),c_2Ebitstring_2Efixwidth_2E2(s(tyop_2Enum_2Enum,V0n_2E0),s(tyop_2Elist_2Elist(tyop_2Emin_2Ebool),V1w_2E0))) = s(tyop_2Elist_2Elist(tyop_2Emin_2Ebool),V1w_2E0) ) ).
fof(thm_2Ebitstring_2Eboolify__reverse__map,axiom,
! [F0_2E0] :
( ! [V2n_2E0] :
( p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),F0_2E0),s(tyop_2Enum_2Enum,V2n_2E0))))
<=> s(tyop_2Enum_2Enum,V2n_2E0) != s(tyop_2Enum_2Enum,c_2Enum_2E0_2E0) )
=> ! [V0v_2E0,V1a_2E0] : s(tyop_2Elist_2Elist(tyop_2Emin_2Ebool),c_2Ebitstring_2Eboolify_2E2(s(tyop_2Elist_2Elist(tyop_2Emin_2Ebool),V1a_2E0),s(tyop_2Elist_2Elist(tyop_2Enum_2Enum),V0v_2E0))) = s(tyop_2Elist_2Elist(tyop_2Emin_2Ebool),c_2Elist_2EAPPEND_2E2(s(tyop_2Elist_2Elist(tyop_2Emin_2Ebool),c_2Elist_2EREVERSE_2E1(s(tyop_2Elist_2Elist(tyop_2Emin_2Ebool),c_2Elist_2EMAP_2E2(s(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),F0_2E0),s(tyop_2Elist_2Elist(tyop_2Enum_2Enum),V0v_2E0))))),s(tyop_2Elist_2Elist(tyop_2Emin_2Ebool),V1a_2E0))) ) ).
fof(thm_2Ebitstring_2Ebitify__reverse__map,axiom,
! [F0_2E0] :
( ! [V2b_2E0] : s(tyop_2Enum_2Enum,app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Enum_2Enum),F0_2E0),s(tyop_2Emin_2Ebool,V2b_2E0))) = s(tyop_2Enum_2Enum,c_2Ebool_2ECOND_2E3(s(tyop_2Emin_2Ebool,V2b_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))))),s(tyop_2Enum_2Enum,c_2Enum_2E0_2E0)))
=> ! [V0v_2E0,V1a_2E0] : s(tyop_2Elist_2Elist(tyop_2Enum_2Enum),c_2Ebitstring_2Ebitify_2E2(s(tyop_2Elist_2Elist(tyop_2Enum_2Enum),V1a_2E0),s(tyop_2Elist_2Elist(tyop_2Emin_2Ebool),V0v_2E0))) = s(tyop_2Elist_2Elist(tyop_2Enum_2Enum),c_2Elist_2EAPPEND_2E2(s(tyop_2Elist_2Elist(tyop_2Enum_2Enum),c_2Elist_2EREVERSE_2E1(s(tyop_2Elist_2Elist(tyop_2Enum_2Enum),c_2Elist_2EMAP_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Enum_2Enum),F0_2E0),s(tyop_2Elist_2Elist(tyop_2Emin_2Ebool),V0v_2E0))))),s(tyop_2Elist_2Elist(tyop_2Enum_2Enum),V1a_2E0))) ) ).
fof(thm_2Ebitstring_2Eevery__bit__bitify,axiom,
! [V0v_2E0] : p(s(tyop_2Emin_2Ebool,c_2Elist_2EEVERY_2E2(s(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),c_2Earithmetic_2E_3E_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_2Elist_2Elist(tyop_2Enum_2Enum),c_2Ebitstring_2Ebitify_2E2(s(tyop_2Elist_2Elist(tyop_2Enum_2Enum),c_2Elist_2ENIL_2E0),s(tyop_2Elist_2Elist(tyop_2Emin_2Ebool),V0v_2E0)))))) ).
fof(thm_2Ebitstring_2Elength__pad__left,axiom,
! [A_27a,V0x_2E0,V1n_2E0,V2a_2E0] : s(tyop_2Enum_2Enum,c_2Elist_2ELENGTH_2E1(s(tyop_2Elist_2Elist(A_27a),c_2Elist_2EPAD__LEFT_2E3(s(A_27a,V0x_2E0),s(tyop_2Enum_2Enum,V1n_2E0),s(tyop_2Elist_2Elist(A_27a),V2a_2E0))))) = s(tyop_2Enum_2Enum,c_2Ebool_2ECOND_2E3(s(tyop_2Emin_2Ebool,c_2Eprim__rec_2E_3C_2E2(s(tyop_2Enum_2Enum,c_2Elist_2ELENGTH_2E1(s(tyop_2Elist_2Elist(A_27a),V2a_2E0))),s(tyop_2Enum_2Enum,V1n_2E0))),s(tyop_2Enum_2Enum,V1n_2E0),s(tyop_2Enum_2Enum,c_2Elist_2ELENGTH_2E1(s(tyop_2Elist_2Elist(A_27a),V2a_2E0))))) ).
fof(thm_2Ebitstring_2Elength__pad__right,axiom,
! [A_27a,V0x_2E0,V1n_2E0,V2a_2E0] : s(tyop_2Enum_2Enum,c_2Elist_2ELENGTH_2E1(s(tyop_2Elist_2Elist(A_27a),c_2Elist_2EPAD__RIGHT_2E3(s(A_27a,V0x_2E0),s(tyop_2Enum_2Enum,V1n_2E0),s(tyop_2Elist_2Elist(A_27a),V2a_2E0))))) = s(tyop_2Enum_2Enum,c_2Ebool_2ECOND_2E3(s(tyop_2Emin_2Ebool,c_2Eprim__rec_2E_3C_2E2(s(tyop_2Enum_2Enum,c_2Elist_2ELENGTH_2E1(s(tyop_2Elist_2Elist(A_27a),V2a_2E0))),s(tyop_2Enum_2Enum,V1n_2E0))),s(tyop_2Enum_2Enum,V1n_2E0),s(tyop_2Enum_2Enum,c_2Elist_2ELENGTH_2E1(s(tyop_2Elist_2Elist(A_27a),V2a_2E0))))) ).
fof(thm_2Ebitstring_2Elength__zero__extend,axiom,
! [V0n_2E0,V1v_2E0] :
( p(s(tyop_2Emin_2Ebool,c_2Eprim__rec_2E_3C_2E2(s(tyop_2Enum_2Enum,c_2Elist_2ELENGTH_2E1(s(tyop_2Elist_2Elist(tyop_2Emin_2Ebool),V1v_2E0))),s(tyop_2Enum_2Enum,V0n_2E0))))
=> s(tyop_2Enum_2Enum,c_2Elist_2ELENGTH_2E1(s(tyop_2Elist_2Elist(tyop_2Emin_2Ebool),c_2Ebitstring_2Ezero__extend_2E2(s(tyop_2Enum_2Enum,V0n_2E0),s(tyop_2Elist_2Elist(tyop_2Emin_2Ebool),V1v_2E0))))) = s(tyop_2Enum_2Enum,V0n_2E0) ) ).
fof(thm_2Ebitstring_2Elength__sign__extend,axiom,
! [A_27a,V0n_2E0,V1v_2E0] :
( p(s(tyop_2Emin_2Ebool,c_2Eprim__rec_2E_3C_2E2(s(tyop_2Enum_2Enum,c_2Elist_2ELENGTH_2E1(s(tyop_2Elist_2Elist(A_27a),V1v_2E0))),s(tyop_2Enum_2Enum,V0n_2E0))))
=> s(tyop_2Enum_2Enum,c_2Elist_2ELENGTH_2E1(s(tyop_2Elist_2Elist(A_27a),c_2Ebitstring_2Esign__extend_2E2(s(tyop_2Enum_2Enum,V0n_2E0),s(tyop_2Elist_2Elist(A_27a),V1v_2E0))))) = s(tyop_2Enum_2Enum,V0n_2E0) ) ).
fof(thm_2Ebitstring_2Elength__fixwidth,axiom,
! [V0n_2E0,V1v_2E0] : s(tyop_2Enum_2Enum,c_2Elist_2ELENGTH_2E1(s(tyop_2Elist_2Elist(tyop_2Emin_2Ebool),c_2Ebitstring_2Efixwidth_2E2(s(tyop_2Enum_2Enum,V0n_2E0),s(tyop_2Elist_2Elist(tyop_2Emin_2Ebool),V1v_2E0))))) = s(tyop_2Enum_2Enum,V0n_2E0) ).
fof(thm_2Ebitstring_2Elength__field,axiom,
! [V0h_2E0,V1l_2E0,V2v_2E0] : s(tyop_2Enum_2Enum,c_2Elist_2ELENGTH_2E1(s(tyop_2Elist_2Elist(tyop_2Emin_2Ebool),c_2Ebitstring_2Efield_2E3(s(tyop_2Enum_2Enum,V0h_2E0),s(tyop_2Enum_2Enum,V1l_2E0),s(tyop_2Elist_2Elist(tyop_2Emin_2Ebool),V2v_2E0))))) = s(tyop_2Enum_2Enum,c_2Earithmetic_2E_2D_2E2(s(tyop_2Enum_2Enum,c_2Enum_2ESUC_2E1(s(tyop_2Enum_2Enum,V0h_2E0))),s(tyop_2Enum_2Enum,V1l_2E0))) ).
fof(thm_2Ebitstring_2Elength__bitify,axiom,
! [V0v_2E0,V1l_2E0] : s(tyop_2Enum_2Enum,c_2Elist_2ELENGTH_2E1(s(tyop_2Elist_2Elist(tyop_2Enum_2Enum),c_2Ebitstring_2Ebitify_2E2(s(tyop_2Elist_2Elist(tyop_2Enum_2Enum),V1l_2E0),s(tyop_2Elist_2Elist(tyop_2Emin_2Ebool),V0v_2E0))))) = s(tyop_2Enum_2Enum,c_2Earithmetic_2E_2B_2E2(s(tyop_2Enum_2Enum,c_2Elist_2ELENGTH_2E1(s(tyop_2Elist_2Elist(tyop_2Enum_2Enum),V1l_2E0))),s(tyop_2Enum_2Enum,c_2Elist_2ELENGTH_2E1(s(tyop_2Elist_2Elist(tyop_2Emin_2Ebool),V0v_2E0))))) ).
fof(thm_2Ebitstring_2Elength__bitify__null,axiom,
! [A_27a,V0v_2E0,V1l_2E0] : s(tyop_2Enum_2Enum,c_2Elist_2ELENGTH_2E1(s(tyop_2Elist_2Elist(tyop_2Enum_2Enum),c_2Ebitstring_2Ebitify_2E2(s(tyop_2Elist_2Elist(tyop_2Enum_2Enum),c_2Elist_2ENIL_2E0),s(tyop_2Elist_2Elist(tyop_2Emin_2Ebool),V0v_2E0))))) = s(tyop_2Enum_2Enum,c_2Elist_2ELENGTH_2E1(s(tyop_2Elist_2Elist(tyop_2Emin_2Ebool),V0v_2E0))) ).
fof(thm_2Ebitstring_2Elength__shiftr,axiom,
! [V0v_2E0,V1n_2E0] : s(tyop_2Enum_2Enum,c_2Elist_2ELENGTH_2E1(s(tyop_2Elist_2Elist(tyop_2Emin_2Ebool),c_2Ebitstring_2Eshiftr_2E2(s(tyop_2Elist_2Elist(tyop_2Emin_2Ebool),V0v_2E0),s(tyop_2Enum_2Enum,V1n_2E0))))) = s(tyop_2Enum_2Enum,c_2Earithmetic_2E_2D_2E2(s(tyop_2Enum_2Enum,c_2Elist_2ELENGTH_2E1(s(tyop_2Elist_2Elist(tyop_2Emin_2Ebool),V0v_2E0))),s(tyop_2Enum_2Enum,V1n_2E0))) ).
fof(thm_2Ebitstring_2Elength__rev__count__list,axiom,
! [V0n_2E0] : s(tyop_2Enum_2Enum,c_2Elist_2ELENGTH_2E1(s(tyop_2Elist_2Elist(tyop_2Enum_2Enum),c_2Ebitstring_2Erev__count__list_2E1(s(tyop_2Enum_2Enum,V0n_2E0))))) = s(tyop_2Enum_2Enum,V0n_2E0) ).
fof(thm_2Ebitstring_2Elength__w2v,axiom,
! [A_27a,V0w_2E0] : s(tyop_2Enum_2Enum,c_2Elist_2ELENGTH_2E1(s(tyop_2Elist_2Elist(tyop_2Emin_2Ebool),c_2Ebitstring_2Ew2v_2E1(s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27a),V0w_2E0))))) = s(tyop_2Enum_2Enum,c_2Efcp_2Edimindex_2E1(s(tyop_2Ebool_2Eitself(A_27a),c_2Ebool_2Ethe__value_2E0))) ).
fof(thm_2Ebitstring_2Elength__rotate,axiom,
! [V0v_2E0,V1n_2E0] : s(tyop_2Enum_2Enum,c_2Elist_2ELENGTH_2E1(s(tyop_2Elist_2Elist(tyop_2Emin_2Ebool),c_2Ebitstring_2Erotate_2E2(s(tyop_2Elist_2Elist(tyop_2Emin_2Ebool),V0v_2E0),s(tyop_2Enum_2Enum,V1n_2E0))))) = s(tyop_2Enum_2Enum,c_2Elist_2ELENGTH_2E1(s(tyop_2Elist_2Elist(tyop_2Emin_2Ebool),V0v_2E0))) ).
fof(thm_2Ebitstring_2Eel__rev__count__list,axiom,
! [V0n_2E0,V1i_2E0] :
( p(s(tyop_2Emin_2Ebool,c_2Eprim__rec_2E_3C_2E2(s(tyop_2Enum_2Enum,V1i_2E0),s(tyop_2Enum_2Enum,V0n_2E0))))
=> s(tyop_2Enum_2Enum,c_2Elist_2EEL_2E2(s(tyop_2Enum_2Enum,V1i_2E0),s(tyop_2Elist_2Elist(tyop_2Enum_2Enum),c_2Ebitstring_2Erev__count__list_2E1(s(tyop_2Enum_2Enum,V0n_2E0))))) = s(tyop_2Enum_2Enum,c_2Earithmetic_2E_2D_2E2(s(tyop_2Enum_2Enum,c_2Earithmetic_2E_2D_2E2(s(tyop_2Enum_2Enum,V0n_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))))))),s(tyop_2Enum_2Enum,V1i_2E0))) ) ).
fof(thm_2Ebitstring_2Eel__zero__extend,axiom,
! [V0n_2E0,V1i_2E0,V2v_2E0] :
( p(s(tyop_2Emin_2Ebool,c_2Elist_2EEL_2E2(s(tyop_2Enum_2Enum,V1i_2E0),s(tyop_2Elist_2Elist(tyop_2Emin_2Ebool),c_2Ebitstring_2Ezero__extend_2E2(s(tyop_2Enum_2Enum,V0n_2E0),s(tyop_2Elist_2Elist(tyop_2Emin_2Ebool),V2v_2E0))))))
<=> ( p(s(tyop_2Emin_2Ebool,c_2Earithmetic_2E_3C_3D_2E2(s(tyop_2Enum_2Enum,c_2Earithmetic_2E_2D_2E2(s(tyop_2Enum_2Enum,V0n_2E0),s(tyop_2Enum_2Enum,c_2Elist_2ELENGTH_2E1(s(tyop_2Elist_2Elist(tyop_2Emin_2Ebool),V2v_2E0))))),s(tyop_2Enum_2Enum,V1i_2E0))))
& p(s(tyop_2Emin_2Ebool,c_2Elist_2EEL_2E2(s(tyop_2Enum_2Enum,c_2Earithmetic_2E_2D_2E2(s(tyop_2Enum_2Enum,V1i_2E0),s(tyop_2Enum_2Enum,c_2Earithmetic_2E_2D_2E2(s(tyop_2Enum_2Enum,V0n_2E0),s(tyop_2Enum_2Enum,c_2Elist_2ELENGTH_2E1(s(tyop_2Elist_2Elist(tyop_2Emin_2Ebool),V2v_2E0))))))),s(tyop_2Elist_2Elist(tyop_2Emin_2Ebool),V2v_2E0)))) ) ) ).
fof(thm_2Ebitstring_2Eel__sign__extend,axiom,
! [A_27a,V0n_2E0,V1i_2E0,V2v_2E0] : s(A_27a,c_2Elist_2EEL_2E2(s(tyop_2Enum_2Enum,V1i_2E0),s(tyop_2Elist_2Elist(A_27a),c_2Ebitstring_2Esign__extend_2E2(s(tyop_2Enum_2Enum,V0n_2E0),s(tyop_2Elist_2Elist(A_27a),V2v_2E0))))) = s(A_27a,c_2Ebool_2ECOND_2E3(s(tyop_2Emin_2Ebool,c_2Eprim__rec_2E_3C_2E2(s(tyop_2Enum_2Enum,V1i_2E0),s(tyop_2Enum_2Enum,c_2Earithmetic_2E_2D_2E2(s(tyop_2Enum_2Enum,V0n_2E0),s(tyop_2Enum_2Enum,c_2Elist_2ELENGTH_2E1(s(tyop_2Elist_2Elist(A_27a),V2v_2E0))))))),s(A_27a,c_2Elist_2EEL_2E2(s(tyop_2Enum_2Enum,c_2Enum_2E0_2E0),s(tyop_2Elist_2Elist(A_27a),V2v_2E0))),s(A_27a,c_2Elist_2EEL_2E2(s(tyop_2Enum_2Enum,c_2Earithmetic_2E_2D_2E2(s(tyop_2Enum_2Enum,V1i_2E0),s(tyop_2Enum_2Enum,c_2Earithmetic_2E_2D_2E2(s(tyop_2Enum_2Enum,V0n_2E0),s(tyop_2Enum_2Enum,c_2Elist_2ELENGTH_2E1(s(tyop_2Elist_2Elist(A_27a),V2v_2E0))))))),s(tyop_2Elist_2Elist(A_27a),V2v_2E0))))) ).
fof(thm_2Ebitstring_2Eel__fixwidth,axiom,
! [F0_2E0] :
( ! [V1n_2E0,V2w_2E0,V0i_2E0] :
( p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Elist_2Elist(tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool)),app_2E2(s(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Efun(tyop_2Elist_2Elist(tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool))),F0_2E0),s(tyop_2Enum_2Enum,V1n_2E0))),s(tyop_2Elist_2Elist(tyop_2Emin_2Ebool),V2w_2E0))),s(tyop_2Enum_2Enum,V0i_2E0))))
<=> ( p(s(tyop_2Emin_2Ebool,c_2Earithmetic_2E_3C_3D_2E2(s(tyop_2Enum_2Enum,c_2Earithmetic_2E_2D_2E2(s(tyop_2Enum_2Enum,V1n_2E0),s(tyop_2Enum_2Enum,c_2Elist_2ELENGTH_2E1(s(tyop_2Elist_2Elist(tyop_2Emin_2Ebool),V2w_2E0))))),s(tyop_2Enum_2Enum,V0i_2E0))))
& p(s(tyop_2Emin_2Ebool,c_2Elist_2EEL_2E2(s(tyop_2Enum_2Enum,c_2Earithmetic_2E_2D_2E2(s(tyop_2Enum_2Enum,V0i_2E0),s(tyop_2Enum_2Enum,c_2Earithmetic_2E_2D_2E2(s(tyop_2Enum_2Enum,V1n_2E0),s(tyop_2Enum_2Enum,c_2Elist_2ELENGTH_2E1(s(tyop_2Elist_2Elist(tyop_2Emin_2Ebool),V2w_2E0))))))),s(tyop_2Elist_2Elist(tyop_2Emin_2Ebool),V2w_2E0)))) ) )
=> ! [V0i_2E0,V1n_2E0,V2w_2E0] :
( p(s(tyop_2Emin_2Ebool,c_2Eprim__rec_2E_3C_2E2(s(tyop_2Enum_2Enum,V0i_2E0),s(tyop_2Enum_2Enum,V1n_2E0))))
=> s(tyop_2Emin_2Ebool,c_2Elist_2EEL_2E2(s(tyop_2Enum_2Enum,V0i_2E0),s(tyop_2Elist_2Elist(tyop_2Emin_2Ebool),c_2Ebitstring_2Efixwidth_2E2(s(tyop_2Enum_2Enum,V1n_2E0),s(tyop_2Elist_2Elist(tyop_2Emin_2Ebool),V2w_2E0))))) = s(tyop_2Emin_2Ebool,c_2Ebool_2ECOND_2E3(s(tyop_2Emin_2Ebool,c_2Eprim__rec_2E_3C_2E2(s(tyop_2Enum_2Enum,c_2Elist_2ELENGTH_2E1(s(tyop_2Elist_2Elist(tyop_2Emin_2Ebool),V2w_2E0))),s(tyop_2Enum_2Enum,V1n_2E0))),s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Elist_2Elist(tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool)),app_2E2(s(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Efun(tyop_2Elist_2Elist(tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool))),F0_2E0),s(tyop_2Enum_2Enum,V1n_2E0))),s(tyop_2Elist_2Elist(tyop_2Emin_2Ebool),V2w_2E0))),s(tyop_2Enum_2Enum,V0i_2E0))),s(tyop_2Emin_2Ebool,c_2Elist_2EEL_2E2(s(tyop_2Enum_2Enum,c_2Earithmetic_2E_2B_2E2(s(tyop_2Enum_2Enum,V0i_2E0),s(tyop_2Enum_2Enum,c_2Earithmetic_2E_2D_2E2(s(tyop_2Enum_2Enum,c_2Elist_2ELENGTH_2E1(s(tyop_2Elist_2Elist(tyop_2Emin_2Ebool),V2w_2E0))),s(tyop_2Enum_2Enum,V1n_2E0))))),s(tyop_2Elist_2Elist(tyop_2Emin_2Ebool),V2w_2E0))))) ) ) ).
fof(thm_2Ebitstring_2Eel__field,axiom,
! [V0v_2E0,V1h_2E0,V2l_2E0,V3i_2E0] :
( p(s(tyop_2Emin_2Ebool,c_2Eprim__rec_2E_3C_2E2(s(tyop_2Enum_2Enum,V3i_2E0),s(tyop_2Enum_2Enum,c_2Earithmetic_2E_2D_2E2(s(tyop_2Enum_2Enum,c_2Enum_2ESUC_2E1(s(tyop_2Enum_2Enum,V1h_2E0))),s(tyop_2Enum_2Enum,V2l_2E0))))))
=> ( p(s(tyop_2Emin_2Ebool,c_2Elist_2EEL_2E2(s(tyop_2Enum_2Enum,V3i_2E0),s(tyop_2Elist_2Elist(tyop_2Emin_2Ebool),c_2Ebitstring_2Efield_2E3(s(tyop_2Enum_2Enum,V1h_2E0),s(tyop_2Enum_2Enum,V2l_2E0),s(tyop_2Elist_2Elist(tyop_2Emin_2Ebool),V0v_2E0))))))
<=> ( p(s(tyop_2Emin_2Ebool,c_2Earithmetic_2E_3C_3D_2E2(s(tyop_2Enum_2Enum,c_2Enum_2ESUC_2E1(s(tyop_2Enum_2Enum,V1h_2E0))),s(tyop_2Enum_2Enum,c_2Earithmetic_2E_2B_2E2(s(tyop_2Enum_2Enum,V3i_2E0),s(tyop_2Enum_2Enum,c_2Elist_2ELENGTH_2E1(s(tyop_2Elist_2Elist(tyop_2Emin_2Ebool),V0v_2E0))))))))
& p(s(tyop_2Emin_2Ebool,c_2Elist_2EEL_2E2(s(tyop_2Enum_2Enum,c_2Earithmetic_2E_2D_2E2(s(tyop_2Enum_2Enum,c_2Earithmetic_2E_2B_2E2(s(tyop_2Enum_2Enum,V3i_2E0),s(tyop_2Enum_2Enum,c_2Elist_2ELENGTH_2E1(s(tyop_2Elist_2Elist(tyop_2Emin_2Ebool),V0v_2E0))))),s(tyop_2Enum_2Enum,c_2Enum_2ESUC_2E1(s(tyop_2Enum_2Enum,V1h_2E0))))),s(tyop_2Elist_2Elist(tyop_2Emin_2Ebool),V0v_2E0)))) ) ) ) ).
fof(thm_2Ebitstring_2Eel__w2v,axiom,
! [A_27a,V0w_2E0,V1n_2E0] :
( p(s(tyop_2Emin_2Ebool,c_2Eprim__rec_2E_3C_2E2(s(tyop_2Enum_2Enum,V1n_2E0),s(tyop_2Enum_2Enum,c_2Efcp_2Edimindex_2E1(s(tyop_2Ebool_2Eitself(A_27a),c_2Ebool_2Ethe__value_2E0))))))
=> s(tyop_2Emin_2Ebool,c_2Elist_2EEL_2E2(s(tyop_2Enum_2Enum,V1n_2E0),s(tyop_2Elist_2Elist(tyop_2Emin_2Ebool),c_2Ebitstring_2Ew2v_2E1(s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27a),V0w_2E0))))) = s(tyop_2Emin_2Ebool,c_2Efcp_2Efcp__index_2E2(s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27a),V0w_2E0),s(tyop_2Enum_2Enum,c_2Earithmetic_2E_2D_2E2(s(tyop_2Enum_2Enum,c_2Earithmetic_2E_2D_2E2(s(tyop_2Enum_2Enum,c_2Efcp_2Edimindex_2E1(s(tyop_2Ebool_2Eitself(A_27a),c_2Ebool_2Ethe__value_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))))))),s(tyop_2Enum_2Enum,V1n_2E0))))) ) ).
fof(thm_2Ebitstring_2Eel__shiftr,axiom,
! [V0i_2E0,V1v_2E0,V2n_2E0,V3d_2E0] :
( ( p(s(tyop_2Emin_2Ebool,c_2Eprim__rec_2E_3C_2E2(s(tyop_2Enum_2Enum,V2n_2E0),s(tyop_2Enum_2Enum,V3d_2E0))))
& p(s(tyop_2Emin_2Ebool,c_2Eprim__rec_2E_3C_2E2(s(tyop_2Enum_2Enum,V0i_2E0),s(tyop_2Enum_2Enum,c_2Earithmetic_2E_2D_2E2(s(tyop_2Enum_2Enum,V3d_2E0),s(tyop_2Enum_2Enum,V2n_2E0))))))
& p(s(tyop_2Emin_2Ebool,c_2Eprim__rec_2E_3C_2E2(s(tyop_2Enum_2Enum,c_2Enum_2E0_2E0),s(tyop_2Enum_2Enum,V3d_2E0)))) )
=> ( p(s(tyop_2Emin_2Ebool,c_2Elist_2EEL_2E2(s(tyop_2Enum_2Enum,V0i_2E0),s(tyop_2Elist_2Elist(tyop_2Emin_2Ebool),c_2Ebitstring_2Eshiftr_2E2(s(tyop_2Elist_2Elist(tyop_2Emin_2Ebool),c_2Ebitstring_2Efixwidth_2E2(s(tyop_2Enum_2Enum,V3d_2E0),s(tyop_2Elist_2Elist(tyop_2Emin_2Ebool),V1v_2E0))),s(tyop_2Enum_2Enum,V2n_2E0))))))
<=> ( p(s(tyop_2Emin_2Ebool,c_2Earithmetic_2E_3C_3D_2E2(s(tyop_2Enum_2Enum,V3d_2E0),s(tyop_2Enum_2Enum,c_2Earithmetic_2E_2B_2E2(s(tyop_2Enum_2Enum,V0i_2E0),s(tyop_2Enum_2Enum,c_2Elist_2ELENGTH_2E1(s(tyop_2Elist_2Elist(tyop_2Emin_2Ebool),V1v_2E0))))))))
& p(s(tyop_2Emin_2Ebool,c_2Elist_2EEL_2E2(s(tyop_2Enum_2Enum,c_2Earithmetic_2E_2D_2E2(s(tyop_2Enum_2Enum,c_2Earithmetic_2E_2B_2E2(s(tyop_2Enum_2Enum,V0i_2E0),s(tyop_2Enum_2Enum,c_2Elist_2ELENGTH_2E1(s(tyop_2Elist_2Elist(tyop_2Emin_2Ebool),V1v_2E0))))),s(tyop_2Enum_2Enum,V3d_2E0))),s(tyop_2Elist_2Elist(tyop_2Emin_2Ebool),V1v_2E0)))) ) ) ) ).
fof(thm_2Ebitstring_2Eshiftr__0,axiom,
! [V0v_2E0] : s(tyop_2Elist_2Elist(tyop_2Emin_2Ebool),c_2Ebitstring_2Eshiftr_2E2(s(tyop_2Elist_2Elist(tyop_2Emin_2Ebool),V0v_2E0),s(tyop_2Enum_2Enum,c_2Enum_2E0_2E0))) = s(tyop_2Elist_2Elist(tyop_2Emin_2Ebool),V0v_2E0) ).
fof(thm_2Ebitstring_2Efield__fixwidth,axiom,
! [V0h_2E0,V1v_2E0] : s(tyop_2Elist_2Elist(tyop_2Emin_2Ebool),c_2Ebitstring_2Efield_2E3(s(tyop_2Enum_2Enum,V0h_2E0),s(tyop_2Enum_2Enum,c_2Enum_2E0_2E0),s(tyop_2Elist_2Elist(tyop_2Emin_2Ebool),V1v_2E0))) = s(tyop_2Elist_2Elist(tyop_2Emin_2Ebool),c_2Ebitstring_2Efixwidth_2E2(s(tyop_2Enum_2Enum,c_2Enum_2ESUC_2E1(s(tyop_2Enum_2Enum,V0h_2E0))),s(tyop_2Elist_2Elist(tyop_2Emin_2Ebool),V1v_2E0))) ).
fof(thm_2Ebitstring_2Etestbit,axiom,
! [F0_2E0] :
( ! [V0b_2E0,V1v_2E0,V2n_2E0] :
( p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Elist_2Elist(tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool)),app_2E2(s(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Efun(tyop_2Elist_2Elist(tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool))),F0_2E0),s(tyop_2Enum_2Enum,V0b_2E0))),s(tyop_2Elist_2Elist(tyop_2Emin_2Ebool),V1v_2E0))),s(tyop_2Enum_2Enum,V2n_2E0))))
<=> ( p(s(tyop_2Emin_2Ebool,c_2Eprim__rec_2E_3C_2E2(s(tyop_2Enum_2Enum,V0b_2E0),s(tyop_2Enum_2Enum,V2n_2E0))))
& p(s(tyop_2Emin_2Ebool,c_2Elist_2EEL_2E2(s(tyop_2Enum_2Enum,c_2Earithmetic_2E_2D_2E2(s(tyop_2Enum_2Enum,c_2Earithmetic_2E_2D_2E2(s(tyop_2Enum_2Enum,V2n_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))))))),s(tyop_2Enum_2Enum,V0b_2E0))),s(tyop_2Elist_2Elist(tyop_2Emin_2Ebool),V1v_2E0)))) ) )
=> ! [V0b_2E0,V1v_2E0] : s(tyop_2Emin_2Ebool,c_2Ebitstring_2Etestbit_2E2(s(tyop_2Enum_2Enum,V0b_2E0),s(tyop_2Elist_2Elist(tyop_2Emin_2Ebool),V1v_2E0))) = s(tyop_2Emin_2Ebool,c_2Ebool_2ELET_2E2(s(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Elist_2Elist(tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool)),app_2E2(s(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Efun(tyop_2Elist_2Elist(tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool))),F0_2E0),s(tyop_2Enum_2Enum,V0b_2E0))),s(tyop_2Elist_2Elist(tyop_2Emin_2Ebool),V1v_2E0))),s(tyop_2Enum_2Enum,c_2Elist_2ELENGTH_2E1(s(tyop_2Elist_2Elist(tyop_2Emin_2Ebool),V1v_2E0))))) ) ).
fof(thm_2Ebitstring_2Etestbit__geq__len,axiom,
! [V0v_2E0,V1i_2E0] :
( p(s(tyop_2Emin_2Ebool,c_2Earithmetic_2E_3C_3D_2E2(s(tyop_2Enum_2Enum,c_2Elist_2ELENGTH_2E1(s(tyop_2Elist_2Elist(tyop_2Emin_2Ebool),V0v_2E0))),s(tyop_2Enum_2Enum,V1i_2E0))))
=> ~ p(s(tyop_2Emin_2Ebool,c_2Ebitstring_2Etestbit_2E2(s(tyop_2Enum_2Enum,V1i_2E0),s(tyop_2Elist_2Elist(tyop_2Emin_2Ebool),V0v_2E0)))) ) ).
fof(thm_2Ebitstring_2Etestbit__el,axiom,
! [V0v_2E0,V1i_2E0] :
( p(s(tyop_2Emin_2Ebool,c_2Eprim__rec_2E_3C_2E2(s(tyop_2Enum_2Enum,V1i_2E0),s(tyop_2Enum_2Enum,c_2Elist_2ELENGTH_2E1(s(tyop_2Elist_2Elist(tyop_2Emin_2Ebool),V0v_2E0))))))
=> s(tyop_2Emin_2Ebool,c_2Ebitstring_2Etestbit_2E2(s(tyop_2Enum_2Enum,V1i_2E0),s(tyop_2Elist_2Elist(tyop_2Emin_2Ebool),V0v_2E0))) = s(tyop_2Emin_2Ebool,c_2Elist_2EEL_2E2(s(tyop_2Enum_2Enum,c_2Earithmetic_2E_2D_2E2(s(tyop_2Enum_2Enum,c_2Earithmetic_2E_2D_2E2(s(tyop_2Enum_2Enum,c_2Elist_2ELENGTH_2E1(s(tyop_2Elist_2Elist(tyop_2Emin_2Ebool),V0v_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))))))),s(tyop_2Enum_2Enum,V1i_2E0))),s(tyop_2Elist_2Elist(tyop_2Emin_2Ebool),V0v_2E0))) ) ).
fof(thm_2Ebitstring_2Ebit__v2w,axiom,
! [A_27a,V0n_2E0,V1v_2E0] :
( p(s(tyop_2Emin_2Ebool,c_2Ewords_2Eword__bit_2E2(s(tyop_2Enum_2Enum,V0n_2E0),s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27a),c_2Ebitstring_2Ev2w_2E1(s(tyop_2Elist_2Elist(tyop_2Emin_2Ebool),V1v_2E0))))))
<=> ( p(s(tyop_2Emin_2Ebool,c_2Eprim__rec_2E_3C_2E2(s(tyop_2Enum_2Enum,V0n_2E0),s(tyop_2Enum_2Enum,c_2Efcp_2Edimindex_2E1(s(tyop_2Ebool_2Eitself(A_27a),c_2Ebool_2Ethe__value_2E0))))))
& p(s(tyop_2Emin_2Ebool,c_2Ebitstring_2Etestbit_2E2(s(tyop_2Enum_2Enum,V0n_2E0),s(tyop_2Elist_2Elist(tyop_2Emin_2Ebool),V1v_2E0)))) ) ) ).
fof(thm_2Ebitstring_2Eword__index__v2w,axiom,
! [A_27a,V0index_20too_20large_2E0,V1v_2E0,V2i_2E0] : s(tyop_2Emin_2Ebool,c_2Efcp_2Efcp__index_2E2(s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27a),c_2Ebitstring_2Ev2w_2E1(s(tyop_2Elist_2Elist(tyop_2Emin_2Ebool),V1v_2E0))),s(tyop_2Enum_2Enum,V2i_2E0))) = s(tyop_2Emin_2Ebool,c_2Ebool_2ECOND_2E3(s(tyop_2Emin_2Ebool,c_2Eprim__rec_2E_3C_2E2(s(tyop_2Enum_2Enum,V2i_2E0),s(tyop_2Enum_2Enum,c_2Efcp_2Edimindex_2E1(s(tyop_2Ebool_2Eitself(A_27a),c_2Ebool_2Ethe__value_2E0))))),s(tyop_2Emin_2Ebool,c_2Ebitstring_2Etestbit_2E2(s(tyop_2Enum_2Enum,V2i_2E0),s(tyop_2Elist_2Elist(tyop_2Emin_2Ebool),V1v_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_2Ecombin_2EFAIL_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_2Emin_2Ebool,V0index_20too_20large_2E0))),s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27a),c_2Ebitstring_2Ev2w_2E1(s(tyop_2Elist_2Elist(tyop_2Emin_2Ebool),V1v_2E0))))),s(tyop_2Enum_2Enum,V2i_2E0))))) ).
fof(thm_2Ebitstring_2Etestbit__w2v,axiom,
! [A_27a,V0n_2E0,V1w_2E0] : s(tyop_2Emin_2Ebool,c_2Ebitstring_2Etestbit_2E2(s(tyop_2Enum_2Enum,V0n_2E0),s(tyop_2Elist_2Elist(tyop_2Emin_2Ebool),c_2Ebitstring_2Ew2v_2E1(s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27a),V1w_2E0))))) = s(tyop_2Emin_2Ebool,c_2Ewords_2Eword__bit_2E2(s(tyop_2Enum_2Enum,V0n_2E0),s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27a),V1w_2E0))) ).
fof(thm_2Ebitstring_2Ew2v__v2w,axiom,
! [A_27a,V0v_2E0] : s(tyop_2Elist_2Elist(tyop_2Emin_2Ebool),c_2Ebitstring_2Ew2v_2E1(s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27a),c_2Ebitstring_2Ev2w_2E1(s(tyop_2Elist_2Elist(tyop_2Emin_2Ebool),V0v_2E0))))) = s(tyop_2Elist_2Elist(tyop_2Emin_2Ebool),c_2Ebitstring_2Efixwidth_2E2(s(tyop_2Enum_2Enum,c_2Efcp_2Edimindex_2E1(s(tyop_2Ebool_2Eitself(A_27a),c_2Ebool_2Ethe__value_2E0))),s(tyop_2Elist_2Elist(tyop_2Emin_2Ebool),V0v_2E0))) ).
fof(thm_2Ebitstring_2Ev2w__w2v,axiom,
! [A_27a,V0w_2E0] : s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27a),c_2Ebitstring_2Ev2w_2E1(s(tyop_2Elist_2Elist(tyop_2Emin_2Ebool),c_2Ebitstring_2Ew2v_2E1(s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27a),V0w_2E0))))) = s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27a),V0w_2E0) ).
fof(thm_2Ebitstring_2Ev2w__fixwidth,axiom,
! [A_27a,V0v_2E0] : s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27a),c_2Ebitstring_2Ev2w_2E1(s(tyop_2Elist_2Elist(tyop_2Emin_2Ebool),c_2Ebitstring_2Efixwidth_2E2(s(tyop_2Enum_2Enum,c_2Efcp_2Edimindex_2E1(s(tyop_2Ebool_2Eitself(A_27a),c_2Ebool_2Ethe__value_2E0))),s(tyop_2Elist_2Elist(tyop_2Emin_2Ebool),V0v_2E0))))) = s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27a),c_2Ebitstring_2Ev2w_2E1(s(tyop_2Elist_2Elist(tyop_2Emin_2Ebool),V0v_2E0))) ).
fof(thm_2Ebitstring_2Efixwidth__fixwidth,axiom,
! [V0n_2E0,V1v_2E0] : s(tyop_2Elist_2Elist(tyop_2Emin_2Ebool),c_2Ebitstring_2Efixwidth_2E2(s(tyop_2Enum_2Enum,V0n_2E0),s(tyop_2Elist_2Elist(tyop_2Emin_2Ebool),c_2Ebitstring_2Efixwidth_2E2(s(tyop_2Enum_2Enum,V0n_2E0),s(tyop_2Elist_2Elist(tyop_2Emin_2Ebool),V1v_2E0))))) = s(tyop_2Elist_2Elist(tyop_2Emin_2Ebool),c_2Ebitstring_2Efixwidth_2E2(s(tyop_2Enum_2Enum,V0n_2E0),s(tyop_2Elist_2Elist(tyop_2Emin_2Ebool),V1v_2E0))) ).
fof(thm_2Ebitstring_2Ebitstring__nchotomy,axiom,
! [A_27a,V0w_2E0] :
? [V1v_2E0] : s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27a),V0w_2E0) = s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27a),c_2Ebitstring_2Ev2w_2E1(s(tyop_2Elist_2Elist(tyop_2Emin_2Ebool),V1v_2E0))) ).
fof(thm_2Ebitstring_2Eranged__bitstring__nchotomy,axiom,
! [A_27a,F0_2E0] :
( ! [V1v_2E0] :
( p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(tyop_2Elist_2Elist(tyop_2Emin_2Ebool),tyop_2Emin_2Ebool),F0_2E0),s(tyop_2Elist_2Elist(tyop_2Emin_2Ebool),V1v_2E0))))
<=> s(tyop_2Enum_2Enum,c_2Elist_2ELENGTH_2E1(s(tyop_2Elist_2Elist(tyop_2Emin_2Ebool),V1v_2E0))) = s(tyop_2Enum_2Enum,c_2Efcp_2Edimindex_2E1(s(tyop_2Ebool_2Eitself(A_27a),c_2Ebool_2Ethe__value_2E0))) )
=> ! [V0w_2E0] :
? [V1v_2E0] :
( s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27a),V0w_2E0) = s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27a),c_2Ebitstring_2Ev2w_2E1(s(tyop_2Elist_2Elist(tyop_2Emin_2Ebool),V1v_2E0)))
& p(s(tyop_2Emin_2Ebool,c_2Emarker_2EAbbrev_2E1(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(tyop_2Elist_2Elist(tyop_2Emin_2Ebool),tyop_2Emin_2Ebool),F0_2E0),s(tyop_2Elist_2Elist(tyop_2Emin_2Ebool),V1v_2E0)))))) ) ) ).
fof(thm_2Ebitstring_2Efixwidth__eq,axiom,
! [V0n_2E0,V1v_2E0,V2w_2E0] :
( s(tyop_2Elist_2Elist(tyop_2Emin_2Ebool),c_2Ebitstring_2Efixwidth_2E2(s(tyop_2Enum_2Enum,V0n_2E0),s(tyop_2Elist_2Elist(tyop_2Emin_2Ebool),V1v_2E0))) = s(tyop_2Elist_2Elist(tyop_2Emin_2Ebool),c_2Ebitstring_2Efixwidth_2E2(s(tyop_2Enum_2Enum,V0n_2E0),s(tyop_2Elist_2Elist(tyop_2Emin_2Ebool),V2w_2E0)))
<=> ! [V3i_2E0] :
( p(s(tyop_2Emin_2Ebool,c_2Eprim__rec_2E_3C_2E2(s(tyop_2Enum_2Enum,V3i_2E0),s(tyop_2Enum_2Enum,V0n_2E0))))
=> s(tyop_2Emin_2Ebool,c_2Ebitstring_2Etestbit_2E2(s(tyop_2Enum_2Enum,V3i_2E0),s(tyop_2Elist_2Elist(tyop_2Emin_2Ebool),V1v_2E0))) = s(tyop_2Emin_2Ebool,c_2Ebitstring_2Etestbit_2E2(s(tyop_2Enum_2Enum,V3i_2E0),s(tyop_2Elist_2Elist(tyop_2Emin_2Ebool),V2w_2E0))) ) ) ).
fof(thm_2Ebitstring_2Ev2w__11,axiom,
! [A_27a,V0v_2E0,V1w_2E0] :
( s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27a),c_2Ebitstring_2Ev2w_2E1(s(tyop_2Elist_2Elist(tyop_2Emin_2Ebool),V0v_2E0))) = s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27a),c_2Ebitstring_2Ev2w_2E1(s(tyop_2Elist_2Elist(tyop_2Emin_2Ebool),V1w_2E0)))
<=> s(tyop_2Elist_2Elist(tyop_2Emin_2Ebool),c_2Ebitstring_2Efixwidth_2E2(s(tyop_2Enum_2Enum,c_2Efcp_2Edimindex_2E1(s(tyop_2Ebool_2Eitself(A_27a),c_2Ebool_2Ethe__value_2E0))),s(tyop_2Elist_2Elist(tyop_2Emin_2Ebool),V0v_2E0))) = s(tyop_2Elist_2Elist(tyop_2Emin_2Ebool),c_2Ebitstring_2Efixwidth_2E2(s(tyop_2Enum_2Enum,c_2Efcp_2Edimindex_2E1(s(tyop_2Ebool_2Eitself(A_27a),c_2Ebool_2Ethe__value_2E0))),s(tyop_2Elist_2Elist(tyop_2Emin_2Ebool),V1w_2E0))) ) ).
fof(thm_2Ebitstring_2Efield__concat__right,axiom,
! [V0h_2E0,V1a_2E0,V2b_2E0] :
( s(tyop_2Enum_2Enum,c_2Elist_2ELENGTH_2E1(s(tyop_2Elist_2Elist(tyop_2Emin_2Ebool),V2b_2E0))) = s(tyop_2Enum_2Enum,c_2Enum_2ESUC_2E1(s(tyop_2Enum_2Enum,V0h_2E0)))
=> s(tyop_2Elist_2Elist(tyop_2Emin_2Ebool),c_2Ebitstring_2Efield_2E3(s(tyop_2Enum_2Enum,V0h_2E0),s(tyop_2Enum_2Enum,c_2Enum_2E0_2E0),s(tyop_2Elist_2Elist(tyop_2Emin_2Ebool),c_2Elist_2EAPPEND_2E2(s(tyop_2Elist_2Elist(tyop_2Emin_2Ebool),V1a_2E0),s(tyop_2Elist_2Elist(tyop_2Emin_2Ebool),V2b_2E0))))) = s(tyop_2Elist_2Elist(tyop_2Emin_2Ebool),V2b_2E0) ) ).
fof(thm_2Ebitstring_2Efield__concat__left,axiom,
! [V0h_2E0,V1l_2E0,V2a_2E0,V3b_2E0] :
( ( p(s(tyop_2Emin_2Ebool,c_2Earithmetic_2E_3C_3D_2E2(s(tyop_2Enum_2Enum,V1l_2E0),s(tyop_2Enum_2Enum,V0h_2E0))))
& p(s(tyop_2Emin_2Ebool,c_2Earithmetic_2E_3C_3D_2E2(s(tyop_2Enum_2Enum,c_2Elist_2ELENGTH_2E1(s(tyop_2Elist_2Elist(tyop_2Emin_2Ebool),V3b_2E0))),s(tyop_2Enum_2Enum,V1l_2E0)))) )
=> s(tyop_2Elist_2Elist(tyop_2Emin_2Ebool),c_2Ebitstring_2Efield_2E3(s(tyop_2Enum_2Enum,V0h_2E0),s(tyop_2Enum_2Enum,V1l_2E0),s(tyop_2Elist_2Elist(tyop_2Emin_2Ebool),c_2Elist_2EAPPEND_2E2(s(tyop_2Elist_2Elist(tyop_2Emin_2Ebool),V2a_2E0),s(tyop_2Elist_2Elist(tyop_2Emin_2Ebool),V3b_2E0))))) = s(tyop_2Elist_2Elist(tyop_2Emin_2Ebool),c_2Ebitstring_2Efield_2E3(s(tyop_2Enum_2Enum,c_2Earithmetic_2E_2D_2E2(s(tyop_2Enum_2Enum,V0h_2E0),s(tyop_2Enum_2Enum,c_2Elist_2ELENGTH_2E1(s(tyop_2Elist_2Elist(tyop_2Emin_2Ebool),V3b_2E0))))),s(tyop_2Enum_2Enum,c_2Earithmetic_2E_2D_2E2(s(tyop_2Enum_2Enum,V1l_2E0),s(tyop_2Enum_2Enum,c_2Elist_2ELENGTH_2E1(s(tyop_2Elist_2Elist(tyop_2Emin_2Ebool),V3b_2E0))))),s(tyop_2Elist_2Elist(tyop_2Emin_2Ebool),V2a_2E0))) ) ).
fof(thm_2Ebitstring_2Efield__id__imp,axiom,
! [V0n_2E0,V1v_2E0] :
( s(tyop_2Enum_2Enum,c_2Enum_2ESUC_2E1(s(tyop_2Enum_2Enum,V0n_2E0))) = s(tyop_2Enum_2Enum,c_2Elist_2ELENGTH_2E1(s(tyop_2Elist_2Elist(tyop_2Emin_2Ebool),V1v_2E0)))
=> s(tyop_2Elist_2Elist(tyop_2Emin_2Ebool),c_2Ebitstring_2Efield_2E3(s(tyop_2Enum_2Enum,V0n_2E0),s(tyop_2Enum_2Enum,c_2Enum_2E0_2E0),s(tyop_2Elist_2Elist(tyop_2Emin_2Ebool),V1v_2E0))) = s(tyop_2Elist_2Elist(tyop_2Emin_2Ebool),V1v_2E0) ) ).
fof(thm_2Ebitstring_2Eshiftl__replicate__F,axiom,
! [V0v_2E0,V1n_2E0] : s(tyop_2Elist_2Elist(tyop_2Emin_2Ebool),c_2Ebitstring_2Eshiftl_2E2(s(tyop_2Elist_2Elist(tyop_2Emin_2Ebool),V0v_2E0),s(tyop_2Enum_2Enum,V1n_2E0))) = s(tyop_2Elist_2Elist(tyop_2Emin_2Ebool),c_2Elist_2EAPPEND_2E2(s(tyop_2Elist_2Elist(tyop_2Emin_2Ebool),V0v_2E0),s(tyop_2Elist_2Elist(tyop_2Emin_2Ebool),c_2Ebitstring_2Ereplicate_2E2(s(tyop_2Elist_2Elist(tyop_2Emin_2Ebool),c_2Elist_2ECONS_2E2(s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0),s(tyop_2Elist_2Elist(tyop_2Emin_2Ebool),c_2Elist_2ENIL_2E0))),s(tyop_2Enum_2Enum,V1n_2E0))))) ).
fof(thm_2Ebitstring_2Eword__lsb__v2w,axiom,
! [A_27a,V0v_2E0] :
( p(s(tyop_2Emin_2Ebool,c_2Ewords_2Eword__lsb_2E1(s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27a),c_2Ebitstring_2Ev2w_2E1(s(tyop_2Elist_2Elist(tyop_2Emin_2Ebool),V0v_2E0))))))
<=> ( s(tyop_2Elist_2Elist(tyop_2Emin_2Ebool),V0v_2E0) != s(tyop_2Elist_2Elist(tyop_2Emin_2Ebool),c_2Elist_2ENIL_2E0)
& p(s(tyop_2Emin_2Ebool,c_2Elist_2ELAST_2E1(s(tyop_2Elist_2Elist(tyop_2Emin_2Ebool),V0v_2E0)))) ) ) ).
fof(thm_2Ebitstring_2Eword__msb__v2w,axiom,
! [A_27a,V0v_2E0] : s(tyop_2Emin_2Ebool,c_2Ewords_2Eword__msb_2E1(s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27a),c_2Ebitstring_2Ev2w_2E1(s(tyop_2Elist_2Elist(tyop_2Emin_2Ebool),V0v_2E0))))) = s(tyop_2Emin_2Ebool,c_2Ebitstring_2Etestbit_2E2(s(tyop_2Enum_2Enum,c_2Earithmetic_2E_2D_2E2(s(tyop_2Enum_2Enum,c_2Efcp_2Edimindex_2E1(s(tyop_2Ebool_2Eitself(A_27a),c_2Ebool_2Ethe__value_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))))))),s(tyop_2Elist_2Elist(tyop_2Emin_2Ebool),V0v_2E0))) ).
fof(thm_2Ebitstring_2Ew2w__v2w,axiom,
! [A_27a,A_27b,V0v_2E0] : s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27b),c_2Ewords_2Ew2w_2E1(s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27a),c_2Ebitstring_2Ev2w_2E1(s(tyop_2Elist_2Elist(tyop_2Emin_2Ebool),V0v_2E0))))) = s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27b),c_2Ebitstring_2Ev2w_2E1(s(tyop_2Elist_2Elist(tyop_2Emin_2Ebool),c_2Ebitstring_2Efixwidth_2E2(s(tyop_2Enum_2Enum,c_2Ebool_2ECOND_2E3(s(tyop_2Emin_2Ebool,c_2Eprim__rec_2E_3C_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_27a),c_2Ebool_2Ethe__value_2E0))))),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_27a),c_2Ebool_2Ethe__value_2E0))))),s(tyop_2Elist_2Elist(tyop_2Emin_2Ebool),V0v_2E0))))) ).
fof(thm_2Ebitstring_2Esw2sw__v2w,axiom,
! [A_27a,A_27b,V0v_2E0] : s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27b),c_2Ewords_2Esw2sw_2E1(s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27a),c_2Ebitstring_2Ev2w_2E1(s(tyop_2Elist_2Elist(tyop_2Emin_2Ebool),V0v_2E0))))) = s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27b),c_2Ebool_2ECOND_2E3(s(tyop_2Emin_2Ebool,c_2Eprim__rec_2E_3C_2E2(s(tyop_2Enum_2Enum,c_2Efcp_2Edimindex_2E1(s(tyop_2Ebool_2Eitself(A_27a),c_2Ebool_2Ethe__value_2E0))),s(tyop_2Enum_2Enum,c_2Efcp_2Edimindex_2E1(s(tyop_2Ebool_2Eitself(A_27b),c_2Ebool_2Ethe__value_2E0))))),s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27b),c_2Ebitstring_2Ev2w_2E1(s(tyop_2Elist_2Elist(tyop_2Emin_2Ebool),c_2Ebitstring_2Esign__extend_2E2(s(tyop_2Enum_2Enum,c_2Efcp_2Edimindex_2E1(s(tyop_2Ebool_2Eitself(A_27b),c_2Ebool_2Ethe__value_2E0))),s(tyop_2Elist_2Elist(tyop_2Emin_2Ebool),c_2Ebitstring_2Efixwidth_2E2(s(tyop_2Enum_2Enum,c_2Efcp_2Edimindex_2E1(s(tyop_2Ebool_2Eitself(A_27a),c_2Ebool_2Ethe__value_2E0))),s(tyop_2Elist_2Elist(tyop_2Emin_2Ebool),V0v_2E0))))))),s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27b),c_2Ebitstring_2Ev2w_2E1(s(tyop_2Elist_2Elist(tyop_2Emin_2Ebool),c_2Ebitstring_2Efixwidth_2E2(s(tyop_2Enum_2Enum,c_2Efcp_2Edimindex_2E1(s(tyop_2Ebool_2Eitself(A_27b),c_2Ebool_2Ethe__value_2E0))),s(tyop_2Elist_2Elist(tyop_2Emin_2Ebool),V0v_2E0))))))) ).
fof(thm_2Ebitstring_2En2w__v2n,axiom,
! [A_27a,V0v_2E0] : s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27a),c_2Ewords_2En2w_2E1(s(tyop_2Enum_2Enum,c_2Ebitstring_2Ev2n_2E1(s(tyop_2Elist_2Elist(tyop_2Emin_2Ebool),V0v_2E0))))) = s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27a),c_2Ebitstring_2Ev2w_2E1(s(tyop_2Elist_2Elist(tyop_2Emin_2Ebool),V0v_2E0))) ).
fof(thm_2Ebitstring_2Ev2n__n2v,axiom,
! [V0n_2E0] : s(tyop_2Enum_2Enum,c_2Ebitstring_2Ev2n_2E1(s(tyop_2Elist_2Elist(tyop_2Emin_2Ebool),c_2Ebitstring_2En2v_2E1(s(tyop_2Enum_2Enum,V0n_2E0))))) = s(tyop_2Enum_2Enum,V0n_2E0) ).
fof(thm_2Ebitstring_2Ev2w__n2v,axiom,
! [A_27a,V0n_2E0] : s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27a),c_2Ebitstring_2Ev2w_2E1(s(tyop_2Elist_2Elist(tyop_2Emin_2Ebool),c_2Ebitstring_2En2v_2E1(s(tyop_2Enum_2Enum,V0n_2E0))))) = s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27a),c_2Ewords_2En2w_2E1(s(tyop_2Enum_2Enum,V0n_2E0))) ).
fof(thm_2Ebitstring_2Ew2n__v2w,axiom,
! [A_27a,V0v_2E0] : s(tyop_2Enum_2Enum,c_2Ewords_2Ew2n_2E1(s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27a),c_2Ebitstring_2Ev2w_2E1(s(tyop_2Elist_2Elist(tyop_2Emin_2Ebool),V0v_2E0))))) = s(tyop_2Enum_2Enum,c_2Ebit_2EMOD__2EXP_2E2(s(tyop_2Enum_2Enum,c_2Efcp_2Edimindex_2E1(s(tyop_2Ebool_2Eitself(A_27a),c_2Ebool_2Ethe__value_2E0))),s(tyop_2Enum_2Enum,c_2Ebitstring_2Ev2n_2E1(s(tyop_2Elist_2Elist(tyop_2Emin_2Ebool),V0v_2E0))))) ).
fof(thm_2Ebitstring_2Ev2n__lt,axiom,
! [V0v_2E0] : p(s(tyop_2Emin_2Ebool,c_2Eprim__rec_2E_3C_2E2(s(tyop_2Enum_2Enum,c_2Ebitstring_2Ev2n_2E1(s(tyop_2Elist_2Elist(tyop_2Emin_2Ebool),V0v_2E0))),s(tyop_2Enum_2Enum,c_2Earithmetic_2EEXP_2E2(s(tyop_2Enum_2Enum,c_2Earithmetic_2ENUMERAL_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EBIT2_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2EZERO_2E0))))),s(tyop_2Enum_2Enum,c_2Elist_2ELENGTH_2E1(s(tyop_2Elist_2Elist(tyop_2Emin_2Ebool),V0v_2E0)))))))) ).
fof(thm_2Ebitstring_2Eword__and__v2w,axiom,
! [A_27a,V0v_2E0,V1w_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_2Ebitstring_2Ev2w_2E1(s(tyop_2Elist_2Elist(tyop_2Emin_2Ebool),V0v_2E0))),s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27a),c_2Ebitstring_2Ev2w_2E1(s(tyop_2Elist_2Elist(tyop_2Emin_2Ebool),V1w_2E0))))) = s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27a),c_2Ebitstring_2Ev2w_2E1(s(tyop_2Elist_2Elist(tyop_2Emin_2Ebool),c_2Ebitstring_2Eband_2E2(s(tyop_2Elist_2Elist(tyop_2Emin_2Ebool),V0v_2E0),s(tyop_2Elist_2Elist(tyop_2Emin_2Ebool),V1w_2E0))))) ).
fof(thm_2Ebitstring_2Eword__or__v2w,axiom,
! [A_27a,V0v_2E0,V1w_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_2Ebitstring_2Ev2w_2E1(s(tyop_2Elist_2Elist(tyop_2Emin_2Ebool),V0v_2E0))),s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27a),c_2Ebitstring_2Ev2w_2E1(s(tyop_2Elist_2Elist(tyop_2Emin_2Ebool),V1w_2E0))))) = s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27a),c_2Ebitstring_2Ev2w_2E1(s(tyop_2Elist_2Elist(tyop_2Emin_2Ebool),c_2Ebitstring_2Ebor_2E2(s(tyop_2Elist_2Elist(tyop_2Emin_2Ebool),V0v_2E0),s(tyop_2Elist_2Elist(tyop_2Emin_2Ebool),V1w_2E0))))) ).
fof(thm_2Ebitstring_2Eword__xor__v2w,axiom,
! [A_27a,V0v_2E0,V1w_2E0] : s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27a),c_2Ewords_2Eword__xor_2E2(s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27a),c_2Ebitstring_2Ev2w_2E1(s(tyop_2Elist_2Elist(tyop_2Emin_2Ebool),V0v_2E0))),s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27a),c_2Ebitstring_2Ev2w_2E1(s(tyop_2Elist_2Elist(tyop_2Emin_2Ebool),V1w_2E0))))) = s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27a),c_2Ebitstring_2Ev2w_2E1(s(tyop_2Elist_2Elist(tyop_2Emin_2Ebool),c_2Ebitstring_2Ebxor_2E2(s(tyop_2Elist_2Elist(tyop_2Emin_2Ebool),V0v_2E0),s(tyop_2Elist_2Elist(tyop_2Emin_2Ebool),V1w_2E0))))) ).
fof(thm_2Ebitstring_2Eword__nand__v2w,axiom,
! [A_27a,V0v_2E0,V1w_2E0] : s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27a),c_2Ewords_2Eword__nand_2E2(s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27a),c_2Ebitstring_2Ev2w_2E1(s(tyop_2Elist_2Elist(tyop_2Emin_2Ebool),V0v_2E0))),s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27a),c_2Ebitstring_2Ev2w_2E1(s(tyop_2Elist_2Elist(tyop_2Emin_2Ebool),V1w_2E0))))) = s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27a),c_2Ebitstring_2Ev2w_2E1(s(tyop_2Elist_2Elist(tyop_2Emin_2Ebool),c_2Ebitstring_2Ebnand_2E2(s(tyop_2Elist_2Elist(tyop_2Emin_2Ebool),c_2Ebitstring_2Efixwidth_2E2(s(tyop_2Enum_2Enum,c_2Efcp_2Edimindex_2E1(s(tyop_2Ebool_2Eitself(A_27a),c_2Ebool_2Ethe__value_2E0))),s(tyop_2Elist_2Elist(tyop_2Emin_2Ebool),V0v_2E0))),s(tyop_2Elist_2Elist(tyop_2Emin_2Ebool),c_2Ebitstring_2Efixwidth_2E2(s(tyop_2Enum_2Enum,c_2Efcp_2Edimindex_2E1(s(tyop_2Ebool_2Eitself(A_27a),c_2Ebool_2Ethe__value_2E0))),s(tyop_2Elist_2Elist(tyop_2Emin_2Ebool),V1w_2E0))))))) ).
fof(thm_2Ebitstring_2Eword__nor__v2w,axiom,
! [A_27a,V0v_2E0,V1w_2E0] : s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27a),c_2Ewords_2Eword__nor_2E2(s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27a),c_2Ebitstring_2Ev2w_2E1(s(tyop_2Elist_2Elist(tyop_2Emin_2Ebool),V0v_2E0))),s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27a),c_2Ebitstring_2Ev2w_2E1(s(tyop_2Elist_2Elist(tyop_2Emin_2Ebool),V1w_2E0))))) = s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27a),c_2Ebitstring_2Ev2w_2E1(s(tyop_2Elist_2Elist(tyop_2Emin_2Ebool),c_2Ebitstring_2Ebnor_2E2(s(tyop_2Elist_2Elist(tyop_2Emin_2Ebool),c_2Ebitstring_2Efixwidth_2E2(s(tyop_2Enum_2Enum,c_2Efcp_2Edimindex_2E1(s(tyop_2Ebool_2Eitself(A_27a),c_2Ebool_2Ethe__value_2E0))),s(tyop_2Elist_2Elist(tyop_2Emin_2Ebool),V0v_2E0))),s(tyop_2Elist_2Elist(tyop_2Emin_2Ebool),c_2Ebitstring_2Efixwidth_2E2(s(tyop_2Enum_2Enum,c_2Efcp_2Edimindex_2E1(s(tyop_2Ebool_2Eitself(A_27a),c_2Ebool_2Ethe__value_2E0))),s(tyop_2Elist_2Elist(tyop_2Emin_2Ebool),V1w_2E0))))))) ).
fof(thm_2Ebitstring_2Eword__xnor__v2w,axiom,
! [A_27a,V0v_2E0,V1w_2E0] : s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27a),c_2Ewords_2Eword__xnor_2E2(s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27a),c_2Ebitstring_2Ev2w_2E1(s(tyop_2Elist_2Elist(tyop_2Emin_2Ebool),V0v_2E0))),s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27a),c_2Ebitstring_2Ev2w_2E1(s(tyop_2Elist_2Elist(tyop_2Emin_2Ebool),V1w_2E0))))) = s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27a),c_2Ebitstring_2Ev2w_2E1(s(tyop_2Elist_2Elist(tyop_2Emin_2Ebool),c_2Ebitstring_2Ebxnor_2E2(s(tyop_2Elist_2Elist(tyop_2Emin_2Ebool),c_2Ebitstring_2Efixwidth_2E2(s(tyop_2Enum_2Enum,c_2Efcp_2Edimindex_2E1(s(tyop_2Ebool_2Eitself(A_27a),c_2Ebool_2Ethe__value_2E0))),s(tyop_2Elist_2Elist(tyop_2Emin_2Ebool),V0v_2E0))),s(tyop_2Elist_2Elist(tyop_2Emin_2Ebool),c_2Ebitstring_2Efixwidth_2E2(s(tyop_2Enum_2Enum,c_2Efcp_2Edimindex_2E1(s(tyop_2Ebool_2Eitself(A_27a),c_2Ebool_2Ethe__value_2E0))),s(tyop_2Elist_2Elist(tyop_2Emin_2Ebool),V1w_2E0))))))) ).
fof(thm_2Ebitstring_2Eword__1comp__v2w,axiom,
! [A_27a,V0v_2E0] : s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27a),c_2Ewords_2Eword__1comp_2E1(s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27a),c_2Ebitstring_2Ev2w_2E1(s(tyop_2Elist_2Elist(tyop_2Emin_2Ebool),V0v_2E0))))) = s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27a),c_2Ebitstring_2Ev2w_2E1(s(tyop_2Elist_2Elist(tyop_2Emin_2Ebool),c_2Ebitstring_2Ebnot_2E1(s(tyop_2Elist_2Elist(tyop_2Emin_2Ebool),c_2Ebitstring_2Efixwidth_2E2(s(tyop_2Enum_2Enum,c_2Efcp_2Edimindex_2E1(s(tyop_2Ebool_2Eitself(A_27a),c_2Ebool_2Ethe__value_2E0))),s(tyop_2Elist_2Elist(tyop_2Emin_2Ebool),V0v_2E0))))))) ).
fof(thm_2Ebitstring_2Eword__lsl__v2w,axiom,
! [A_27a,V0n_2E0,V1v_2E0] : s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27a),c_2Ewords_2Eword__lsl_2E2(s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27a),c_2Ebitstring_2Ev2w_2E1(s(tyop_2Elist_2Elist(tyop_2Emin_2Ebool),V1v_2E0))),s(tyop_2Enum_2Enum,V0n_2E0))) = s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27a),c_2Ebitstring_2Ev2w_2E1(s(tyop_2Elist_2Elist(tyop_2Emin_2Ebool),c_2Ebitstring_2Eshiftl_2E2(s(tyop_2Elist_2Elist(tyop_2Emin_2Ebool),V1v_2E0),s(tyop_2Enum_2Enum,V0n_2E0))))) ).
fof(thm_2Ebitstring_2Eword__lsr__v2w,axiom,
! [A_27a,V0n_2E0,V1v_2E0] : s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27a),c_2Ewords_2Eword__lsr_2E2(s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27a),c_2Ebitstring_2Ev2w_2E1(s(tyop_2Elist_2Elist(tyop_2Emin_2Ebool),V1v_2E0))),s(tyop_2Enum_2Enum,V0n_2E0))) = s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27a),c_2Ebitstring_2Ev2w_2E1(s(tyop_2Elist_2Elist(tyop_2Emin_2Ebool),c_2Ebitstring_2Eshiftr_2E2(s(tyop_2Elist_2Elist(tyop_2Emin_2Ebool),c_2Ebitstring_2Efixwidth_2E2(s(tyop_2Enum_2Enum,c_2Efcp_2Edimindex_2E1(s(tyop_2Ebool_2Eitself(A_27a),c_2Ebool_2Ethe__value_2E0))),s(tyop_2Elist_2Elist(tyop_2Emin_2Ebool),V1v_2E0))),s(tyop_2Enum_2Enum,V0n_2E0))))) ).
fof(thm_2Ebitstring_2Eword__modify__v2w,axiom,
! [A_27a,V0f_2E0,V1v_2E0] : s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27a),c_2Ewords_2Eword__modify_2E2(s(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool)),V0f_2E0),s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27a),c_2Ebitstring_2Ev2w_2E1(s(tyop_2Elist_2Elist(tyop_2Emin_2Ebool),V1v_2E0))))) = s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27a),c_2Ebitstring_2Ev2w_2E1(s(tyop_2Elist_2Elist(tyop_2Emin_2Ebool),c_2Ebitstring_2Emodify_2E2(s(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool)),V0f_2E0),s(tyop_2Elist_2Elist(tyop_2Emin_2Ebool),c_2Ebitstring_2Efixwidth_2E2(s(tyop_2Enum_2Enum,c_2Efcp_2Edimindex_2E1(s(tyop_2Ebool_2Eitself(A_27a),c_2Ebool_2Ethe__value_2E0))),s(tyop_2Elist_2Elist(tyop_2Emin_2Ebool),V1v_2E0))))))) ).
fof(thm_2Ebitstring_2Eword__bits__v2w,axiom,
! [A_27a,V0h_2E0,V1l_2E0,V2v_2E0] : s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27a),c_2Ewords_2Eword__bits_2E3(s(tyop_2Enum_2Enum,V0h_2E0),s(tyop_2Enum_2Enum,V1l_2E0),s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27a),c_2Ebitstring_2Ev2w_2E1(s(tyop_2Elist_2Elist(tyop_2Emin_2Ebool),V2v_2E0))))) = s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27a),c_2Ebitstring_2Ev2w_2E1(s(tyop_2Elist_2Elist(tyop_2Emin_2Ebool),c_2Ebitstring_2Efield_2E3(s(tyop_2Enum_2Enum,V0h_2E0),s(tyop_2Enum_2Enum,V1l_2E0),s(tyop_2Elist_2Elist(tyop_2Emin_2Ebool),c_2Ebitstring_2Efixwidth_2E2(s(tyop_2Enum_2Enum,c_2Efcp_2Edimindex_2E1(s(tyop_2Ebool_2Eitself(A_27a),c_2Ebool_2Ethe__value_2E0))),s(tyop_2Elist_2Elist(tyop_2Emin_2Ebool),V2v_2E0))))))) ).
fof(thm_2Ebitstring_2Eword__extract__v2w,axiom,
! [A_27a,A_27b,V0h_2E0,V1l_2E0,V2v_2E0] : s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27b),c_2Ewords_2Eword__extract_2E3(s(tyop_2Enum_2Enum,V0h_2E0),s(tyop_2Enum_2Enum,V1l_2E0),s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27a),c_2Ebitstring_2Ev2w_2E1(s(tyop_2Elist_2Elist(tyop_2Emin_2Ebool),V2v_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_2Eword__bits_2E3(s(tyop_2Enum_2Enum,V0h_2E0),s(tyop_2Enum_2Enum,V1l_2E0),s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27a),c_2Ebitstring_2Ev2w_2E1(s(tyop_2Elist_2Elist(tyop_2Emin_2Ebool),V2v_2E0))))))) ).
fof(thm_2Ebitstring_2Eword__slice__v2w,axiom,
! [A_27a,V0h_2E0,V1l_2E0,V2v_2E0] : s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27a),c_2Ewords_2Eword__slice_2E3(s(tyop_2Enum_2Enum,V0h_2E0),s(tyop_2Enum_2Enum,V1l_2E0),s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27a),c_2Ebitstring_2Ev2w_2E1(s(tyop_2Elist_2Elist(tyop_2Emin_2Ebool),V2v_2E0))))) = s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27a),c_2Ebitstring_2Ev2w_2E1(s(tyop_2Elist_2Elist(tyop_2Emin_2Ebool),c_2Ebitstring_2Eshiftl_2E2(s(tyop_2Elist_2Elist(tyop_2Emin_2Ebool),c_2Ebitstring_2Efield_2E3(s(tyop_2Enum_2Enum,V0h_2E0),s(tyop_2Enum_2Enum,V1l_2E0),s(tyop_2Elist_2Elist(tyop_2Emin_2Ebool),c_2Ebitstring_2Efixwidth_2E2(s(tyop_2Enum_2Enum,c_2Efcp_2Edimindex_2E1(s(tyop_2Ebool_2Eitself(A_27a),c_2Ebool_2Ethe__value_2E0))),s(tyop_2Elist_2Elist(tyop_2Emin_2Ebool),V2v_2E0))))),s(tyop_2Enum_2Enum,V1l_2E0))))) ).
fof(thm_2Ebitstring_2Eword__asr__v2w,axiom,
! [A_27a,F0_2E0] :
( ! [V0n_2E0,V2l_2E0] : s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27a),app_2E2(s(tyop_2Emin_2Efun(tyop_2Elist_2Elist(tyop_2Emin_2Ebool),tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27a)),app_2E2(s(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Efun(tyop_2Elist_2Elist(tyop_2Emin_2Ebool),tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27a))),F0_2E0),s(tyop_2Enum_2Enum,V0n_2E0))),s(tyop_2Elist_2Elist(tyop_2Emin_2Ebool),V2l_2E0))) = s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27a),c_2Ebitstring_2Ev2w_2E1(s(tyop_2Elist_2Elist(tyop_2Emin_2Ebool),c_2Ebitstring_2Esign__extend_2E2(s(tyop_2Enum_2Enum,c_2Efcp_2Edimindex_2E1(s(tyop_2Ebool_2Eitself(A_27a),c_2Ebool_2Ethe__value_2E0))),s(tyop_2Elist_2Elist(tyop_2Emin_2Ebool),c_2Ebool_2ECOND_2E3(s(tyop_2Emin_2Ebool,c_2Earithmetic_2E_3C_3D_2E2(s(tyop_2Enum_2Enum,c_2Efcp_2Edimindex_2E1(s(tyop_2Ebool_2Eitself(A_27a),c_2Ebool_2Ethe__value_2E0))),s(tyop_2Enum_2Enum,V0n_2E0))),s(tyop_2Elist_2Elist(tyop_2Emin_2Ebool),c_2Elist_2ECONS_2E2(s(tyop_2Emin_2Ebool,c_2Elist_2EHD_2E1(s(tyop_2Elist_2Elist(tyop_2Emin_2Ebool),V2l_2E0))),s(tyop_2Elist_2Elist(tyop_2Emin_2Ebool),c_2Elist_2ENIL_2E0))),s(tyop_2Elist_2Elist(tyop_2Emin_2Ebool),c_2Ebitstring_2Eshiftr_2E2(s(tyop_2Elist_2Elist(tyop_2Emin_2Ebool),V2l_2E0),s(tyop_2Enum_2Enum,V0n_2E0)))))))))
=> ! [V0n_2E0,V1v_2E0] : s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27a),c_2Ewords_2Eword__asr_2E2(s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27a),c_2Ebitstring_2Ev2w_2E1(s(tyop_2Elist_2Elist(tyop_2Emin_2Ebool),V1v_2E0))),s(tyop_2Enum_2Enum,V0n_2E0))) = s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27a),c_2Ebool_2ELET_2E2(s(tyop_2Emin_2Efun(tyop_2Elist_2Elist(tyop_2Emin_2Ebool),tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27a)),app_2E2(s(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Efun(tyop_2Elist_2Elist(tyop_2Emin_2Ebool),tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27a))),F0_2E0),s(tyop_2Enum_2Enum,V0n_2E0))),s(tyop_2Elist_2Elist(tyop_2Emin_2Ebool),c_2Ebitstring_2Efixwidth_2E2(s(tyop_2Enum_2Enum,c_2Efcp_2Edimindex_2E1(s(tyop_2Ebool_2Eitself(A_27a),c_2Ebool_2Ethe__value_2E0))),s(tyop_2Elist_2Elist(tyop_2Emin_2Ebool),V1v_2E0))))) ) ).
fof(thm_2Ebitstring_2Eword__ror__v2w,axiom,
! [A_27a,V0n_2E0,V1v_2E0] : s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27a),c_2Ewords_2Eword__ror_2E2(s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27a),c_2Ebitstring_2Ev2w_2E1(s(tyop_2Elist_2Elist(tyop_2Emin_2Ebool),V1v_2E0))),s(tyop_2Enum_2Enum,V0n_2E0))) = s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27a),c_2Ebitstring_2Ev2w_2E1(s(tyop_2Elist_2Elist(tyop_2Emin_2Ebool),c_2Ebitstring_2Erotate_2E2(s(tyop_2Elist_2Elist(tyop_2Emin_2Ebool),c_2Ebitstring_2Efixwidth_2E2(s(tyop_2Enum_2Enum,c_2Efcp_2Edimindex_2E1(s(tyop_2Ebool_2Eitself(A_27a),c_2Ebool_2Ethe__value_2E0))),s(tyop_2Elist_2Elist(tyop_2Emin_2Ebool),V1v_2E0))),s(tyop_2Enum_2Enum,V0n_2E0))))) ).
fof(thm_2Ebitstring_2Eword__reverse__v2w,axiom,
! [A_27a,V0v_2E0] : s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27a),c_2Ewords_2Eword__reverse_2E1(s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27a),c_2Ebitstring_2Ev2w_2E1(s(tyop_2Elist_2Elist(tyop_2Emin_2Ebool),V0v_2E0))))) = s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27a),c_2Ebitstring_2Ev2w_2E1(s(tyop_2Elist_2Elist(tyop_2Emin_2Ebool),c_2Elist_2EREVERSE_2E1(s(tyop_2Elist_2Elist(tyop_2Emin_2Ebool),c_2Ebitstring_2Efixwidth_2E2(s(tyop_2Enum_2Enum,c_2Efcp_2Edimindex_2E1(s(tyop_2Ebool_2Eitself(A_27a),c_2Ebool_2Ethe__value_2E0))),s(tyop_2Elist_2Elist(tyop_2Emin_2Ebool),V0v_2E0))))))) ).
fof(thm_2Ebitstring_2Eword__join__v2w,axiom,
! [A_27a,A_27b,V0v1_2E0,V1v2_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))))
& p(s(tyop_2Emin_2Ebool,c_2Epred__set_2EFINITE_2E1(s(tyop_2Emin_2Efun(A_27b,tyop_2Emin_2Ebool),c_2Epred__set_2EUNIV_2E0)))) )
=> s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,tyop_2Esum_2Esum(A_27a,A_27b)),c_2Ewords_2Eword__join_2E2(s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27a),c_2Ebitstring_2Ev2w_2E1(s(tyop_2Elist_2Elist(tyop_2Emin_2Ebool),V0v1_2E0))),s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27b),c_2Ebitstring_2Ev2w_2E1(s(tyop_2Elist_2Elist(tyop_2Emin_2Ebool),V1v2_2E0))))) = s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,tyop_2Esum_2Esum(A_27a,A_27b)),c_2Ebitstring_2Ev2w_2E1(s(tyop_2Elist_2Elist(tyop_2Emin_2Ebool),c_2Elist_2EAPPEND_2E2(s(tyop_2Elist_2Elist(tyop_2Emin_2Ebool),V0v1_2E0),s(tyop_2Elist_2Elist(tyop_2Emin_2Ebool),c_2Ebitstring_2Efixwidth_2E2(s(tyop_2Enum_2Enum,c_2Efcp_2Edimindex_2E1(s(tyop_2Ebool_2Eitself(A_27b),c_2Ebool_2Ethe__value_2E0))),s(tyop_2Elist_2Elist(tyop_2Emin_2Ebool),V1v2_2E0))))))) ) ).
fof(thm_2Ebitstring_2Eword__concat__v2w,axiom,
! [A_27a,A_27b,A_27c,V0v1_2E0,V1v2_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))))
& p(s(tyop_2Emin_2Ebool,c_2Epred__set_2EFINITE_2E1(s(tyop_2Emin_2Efun(A_27b,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_2Ebitstring_2Ev2w_2E1(s(tyop_2Elist_2Elist(tyop_2Emin_2Ebool),V0v1_2E0))),s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27b),c_2Ebitstring_2Ev2w_2E1(s(tyop_2Elist_2Elist(tyop_2Emin_2Ebool),V1v2_2E0))))) = s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27c),c_2Ebitstring_2Ev2w_2E1(s(tyop_2Elist_2Elist(tyop_2Emin_2Ebool),c_2Ebitstring_2Efixwidth_2E2(s(tyop_2Enum_2Enum,c_2Earithmetic_2EMIN_2E2(s(tyop_2Enum_2Enum,c_2Efcp_2Edimindex_2E1(s(tyop_2Ebool_2Eitself(A_27c),c_2Ebool_2Ethe__value_2E0))),s(tyop_2Enum_2Enum,c_2Earithmetic_2E_2B_2E2(s(tyop_2Enum_2Enum,c_2Efcp_2Edimindex_2E1(s(tyop_2Ebool_2Eitself(A_27a),c_2Ebool_2Ethe__value_2E0))),s(tyop_2Enum_2Enum,c_2Efcp_2Edimindex_2E1(s(tyop_2Ebool_2Eitself(A_27b),c_2Ebool_2Ethe__value_2E0))))))),s(tyop_2Elist_2Elist(tyop_2Emin_2Ebool),c_2Elist_2EAPPEND_2E2(s(tyop_2Elist_2Elist(tyop_2Emin_2Ebool),V0v1_2E0),s(tyop_2Elist_2Elist(tyop_2Emin_2Ebool),c_2Ebitstring_2Efixwidth_2E2(s(tyop_2Enum_2Enum,c_2Efcp_2Edimindex_2E1(s(tyop_2Ebool_2Eitself(A_27b),c_2Ebool_2Ethe__value_2E0))),s(tyop_2Elist_2Elist(tyop_2Emin_2Ebool),V1v2_2E0))))))))) ) ).
fof(thm_2Ebitstring_2Eword__join__v2w__rwt,axiom,
! [A_27a,A_27b,F0_2E0] :
( ( p(s(tyop_2Emin_2Ebool,F0_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))))
& p(s(tyop_2Emin_2Ebool,c_2Epred__set_2EFINITE_2E1(s(tyop_2Emin_2Efun(A_27b,tyop_2Emin_2Ebool),c_2Epred__set_2EUNIV_2E0)))) ) )
=> ! [V0bad_20domain_2E0,V1v1_2E0,V2v2_2E0] : s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,tyop_2Esum_2Esum(A_27a,A_27b)),c_2Ewords_2Eword__join_2E2(s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27a),c_2Ebitstring_2Ev2w_2E1(s(tyop_2Elist_2Elist(tyop_2Emin_2Ebool),V1v1_2E0))),s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27b),c_2Ebitstring_2Ev2w_2E1(s(tyop_2Elist_2Elist(tyop_2Emin_2Ebool),V2v2_2E0))))) = s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,tyop_2Esum_2Esum(A_27a,A_27b)),c_2Ebool_2ECOND_2E3(s(tyop_2Emin_2Ebool,F0_2E0),s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,tyop_2Esum_2Esum(A_27a,A_27b)),c_2Ebitstring_2Ev2w_2E1(s(tyop_2Elist_2Elist(tyop_2Emin_2Ebool),c_2Elist_2EAPPEND_2E2(s(tyop_2Elist_2Elist(tyop_2Emin_2Ebool),V1v1_2E0),s(tyop_2Elist_2Elist(tyop_2Emin_2Ebool),c_2Ebitstring_2Efixwidth_2E2(s(tyop_2Enum_2Enum,c_2Efcp_2Edimindex_2E1(s(tyop_2Ebool_2Eitself(A_27b),c_2Ebool_2Ethe__value_2E0))),s(tyop_2Elist_2Elist(tyop_2Emin_2Ebool),V2v2_2E0))))))),s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,tyop_2Esum_2Esum(A_27a,A_27b)),app_2E2(s(tyop_2Emin_2Efun(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27b),tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,tyop_2Esum_2Esum(A_27a,A_27b))),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,tyop_2Esum_2Esum(A_27a,A_27b)))),c_2Ecombin_2EFAIL_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,tyop_2Esum_2Esum(A_27a,A_27b)))),c_2Ewords_2Eword__join_2E0),s(tyop_2Emin_2Ebool,V0bad_20domain_2E0))),s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27a),c_2Ebitstring_2Ev2w_2E1(s(tyop_2Elist_2Elist(tyop_2Emin_2Ebool),V1v1_2E0))))),s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27b),c_2Ebitstring_2Ev2w_2E1(s(tyop_2Elist_2Elist(tyop_2Emin_2Ebool),V2v2_2E0))))))) ) ).
fof(thm_2Ebitstring_2Eword__concat__v2w__rwt,axiom,
! [A_27a,A_27b,A_27c,F0_2E0] :
( ( p(s(tyop_2Emin_2Ebool,F0_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))))
& p(s(tyop_2Emin_2Ebool,c_2Epred__set_2EFINITE_2E1(s(tyop_2Emin_2Efun(A_27b,tyop_2Emin_2Ebool),c_2Epred__set_2EUNIV_2E0)))) ) )
=> ! [V0bad_20domain_2E0,V1v1_2E0,V2v2_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_2Ebitstring_2Ev2w_2E1(s(tyop_2Elist_2Elist(tyop_2Emin_2Ebool),V1v1_2E0))),s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27b),c_2Ebitstring_2Ev2w_2E1(s(tyop_2Elist_2Elist(tyop_2Emin_2Ebool),V2v2_2E0))))) = s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27c),c_2Ebool_2ECOND_2E3(s(tyop_2Emin_2Ebool,F0_2E0),s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27c),c_2Ebitstring_2Ev2w_2E1(s(tyop_2Elist_2Elist(tyop_2Emin_2Ebool),c_2Ebitstring_2Efixwidth_2E2(s(tyop_2Enum_2Enum,c_2Earithmetic_2EMIN_2E2(s(tyop_2Enum_2Enum,c_2Efcp_2Edimindex_2E1(s(tyop_2Ebool_2Eitself(A_27c),c_2Ebool_2Ethe__value_2E0))),s(tyop_2Enum_2Enum,c_2Earithmetic_2E_2B_2E2(s(tyop_2Enum_2Enum,c_2Efcp_2Edimindex_2E1(s(tyop_2Ebool_2Eitself(A_27a),c_2Ebool_2Ethe__value_2E0))),s(tyop_2Enum_2Enum,c_2Efcp_2Edimindex_2E1(s(tyop_2Ebool_2Eitself(A_27b),c_2Ebool_2Ethe__value_2E0))))))),s(tyop_2Elist_2Elist(tyop_2Emin_2Ebool),c_2Elist_2EAPPEND_2E2(s(tyop_2Elist_2Elist(tyop_2Emin_2Ebool),V1v1_2E0),s(tyop_2Elist_2Elist(tyop_2Emin_2Ebool),c_2Ebitstring_2Efixwidth_2E2(s(tyop_2Enum_2Enum,c_2Efcp_2Edimindex_2E1(s(tyop_2Ebool_2Eitself(A_27b),c_2Ebool_2Ethe__value_2E0))),s(tyop_2Elist_2Elist(tyop_2Emin_2Ebool),V2v2_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_2Ecombin_2EFAIL_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_2Emin_2Ebool,V0bad_20domain_2E0))),s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27a),c_2Ebitstring_2Ev2w_2E1(s(tyop_2Elist_2Elist(tyop_2Emin_2Ebool),V1v1_2E0))))),s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27b),c_2Ebitstring_2Ev2w_2E1(s(tyop_2Elist_2Elist(tyop_2Emin_2Ebool),V2v2_2E0))))))) ) ).
fof(thm_2Ebitstring_2Eword__reduce__v2w,axiom,
! [A_27a,F0_2E0] :
( ! [V0f_2E0,V2l_2E0] : s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,tyop_2Eone_2Eone),app_2E2(s(tyop_2Emin_2Efun(tyop_2Elist_2Elist(tyop_2Emin_2Ebool),tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,tyop_2Eone_2Eone)),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool)),tyop_2Emin_2Efun(tyop_2Elist_2Elist(tyop_2Emin_2Ebool),tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,tyop_2Eone_2Eone))),F0_2E0),s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool)),V0f_2E0))),s(tyop_2Elist_2Elist(tyop_2Emin_2Ebool),V2l_2E0))) = s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,tyop_2Eone_2Eone),c_2Ebitstring_2Ev2w_2E1(s(tyop_2Elist_2Elist(tyop_2Emin_2Ebool),c_2Elist_2ECONS_2E2(s(tyop_2Emin_2Ebool,c_2Elist_2EFOLDL_2E3(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool)),V0f_2E0),s(tyop_2Emin_2Ebool,c_2Elist_2EHD_2E1(s(tyop_2Elist_2Elist(tyop_2Emin_2Ebool),V2l_2E0))),s(tyop_2Elist_2Elist(tyop_2Emin_2Ebool),c_2Elist_2ETL_2E1(s(tyop_2Elist_2Elist(tyop_2Emin_2Ebool),V2l_2E0))))),s(tyop_2Elist_2Elist(tyop_2Emin_2Ebool),c_2Elist_2ENIL_2E0)))))
=> ! [V0f_2E0,V1v_2E0] : s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,tyop_2Eone_2Eone),c_2Ewords_2Eword__reduce_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool)),V0f_2E0),s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27a),c_2Ebitstring_2Ev2w_2E1(s(tyop_2Elist_2Elist(tyop_2Emin_2Ebool),V1v_2E0))))) = s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,tyop_2Eone_2Eone),c_2Ebool_2ELET_2E2(s(tyop_2Emin_2Efun(tyop_2Elist_2Elist(tyop_2Emin_2Ebool),tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,tyop_2Eone_2Eone)),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool)),tyop_2Emin_2Efun(tyop_2Elist_2Elist(tyop_2Emin_2Ebool),tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,tyop_2Eone_2Eone))),F0_2E0),s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool)),V0f_2E0))),s(tyop_2Elist_2Elist(tyop_2Emin_2Ebool),c_2Ebitstring_2Efixwidth_2E2(s(tyop_2Enum_2Enum,c_2Efcp_2Edimindex_2E1(s(tyop_2Ebool_2Eitself(A_27a),c_2Ebool_2Ethe__value_2E0))),s(tyop_2Elist_2Elist(tyop_2Emin_2Ebool),V1v_2E0))))) ) ).
fof(thm_2Ebitstring_2Ereduce__and__v2w,axiom,
! [A_27a,V0v_2E0] : s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,tyop_2Eone_2Eone),c_2Ewords_2Ereduce__and_2E1(s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27a),c_2Ebitstring_2Ev2w_2E1(s(tyop_2Elist_2Elist(tyop_2Emin_2Ebool),V0v_2E0))))) = s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,tyop_2Eone_2Eone),c_2Ewords_2Eword__reduce_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_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27a),c_2Ebitstring_2Ev2w_2E1(s(tyop_2Elist_2Elist(tyop_2Emin_2Ebool),V0v_2E0))))) ).
fof(thm_2Ebitstring_2Ereduce__or__v2w,axiom,
! [A_27a,V0v_2E0] : s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,tyop_2Eone_2Eone),c_2Ewords_2Ereduce__or_2E1(s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27a),c_2Ebitstring_2Ev2w_2E1(s(tyop_2Elist_2Elist(tyop_2Emin_2Ebool),V0v_2E0))))) = s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,tyop_2Eone_2Eone),c_2Ewords_2Eword__reduce_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_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27a),c_2Ebitstring_2Ev2w_2E1(s(tyop_2Elist_2Elist(tyop_2Emin_2Ebool),V0v_2E0))))) ).
fof(thm_2Ebitstring_2Eextract__v2w,axiom,
! [A_27a,A_27b,V0h_2E0,V1l_2E0,V2v_2E0] :
( ( p(s(tyop_2Emin_2Ebool,c_2Earithmetic_2E_3C_3D_2E2(s(tyop_2Enum_2Enum,c_2Elist_2ELENGTH_2E1(s(tyop_2Elist_2Elist(tyop_2Emin_2Ebool),V2v_2E0))),s(tyop_2Enum_2Enum,c_2Efcp_2Edimindex_2E1(s(tyop_2Ebool_2Eitself(A_27a),c_2Ebool_2Ethe__value_2E0))))))
& s(tyop_2Enum_2Enum,c_2Efcp_2Edimindex_2E1(s(tyop_2Ebool_2Eitself(A_27b),c_2Ebool_2Ethe__value_2E0))) = s(tyop_2Enum_2Enum,c_2Earithmetic_2E_2D_2E2(s(tyop_2Enum_2Enum,c_2Enum_2ESUC_2E1(s(tyop_2Enum_2Enum,V0h_2E0))),s(tyop_2Enum_2Enum,V1l_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_27a),c_2Ebool_2Ethe__value_2E0)))))) )
=> s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27b),c_2Ewords_2Eword__extract_2E3(s(tyop_2Enum_2Enum,V0h_2E0),s(tyop_2Enum_2Enum,V1l_2E0),s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27a),c_2Ebitstring_2Ev2w_2E1(s(tyop_2Elist_2Elist(tyop_2Emin_2Ebool),V2v_2E0))))) = s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27b),c_2Ebitstring_2Ev2w_2E1(s(tyop_2Elist_2Elist(tyop_2Emin_2Ebool),c_2Ebitstring_2Efield_2E3(s(tyop_2Enum_2Enum,V0h_2E0),s(tyop_2Enum_2Enum,V1l_2E0),s(tyop_2Elist_2Elist(tyop_2Emin_2Ebool),V2v_2E0))))) ) ).
fof(thm_2Ebitstring_2Eword__bit__last__shiftr,axiom,
! [A_27a,F0_2E0] :
( ! [V2l_2E0] :
( p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(tyop_2Elist_2Elist(tyop_2Emin_2Ebool),tyop_2Emin_2Ebool),F0_2E0),s(tyop_2Elist_2Elist(tyop_2Emin_2Ebool),V2l_2E0))))
<=> ( ~ p(s(tyop_2Emin_2Ebool,c_2Elist_2ENULL_2E1(s(tyop_2Elist_2Elist(tyop_2Emin_2Ebool),V2l_2E0))))
& p(s(tyop_2Emin_2Ebool,c_2Elist_2ELAST_2E1(s(tyop_2Elist_2Elist(tyop_2Emin_2Ebool),V2l_2E0)))) ) )
=> ! [V0i_2E0,V1v_2E0] :
( p(s(tyop_2Emin_2Ebool,c_2Eprim__rec_2E_3C_2E2(s(tyop_2Enum_2Enum,V0i_2E0),s(tyop_2Enum_2Enum,c_2Efcp_2Edimindex_2E1(s(tyop_2Ebool_2Eitself(A_27a),c_2Ebool_2Ethe__value_2E0))))))
=> s(tyop_2Emin_2Ebool,c_2Ewords_2Eword__bit_2E2(s(tyop_2Enum_2Enum,V0i_2E0),s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27a),c_2Ebitstring_2Ev2w_2E1(s(tyop_2Elist_2Elist(tyop_2Emin_2Ebool),V1v_2E0))))) = s(tyop_2Emin_2Ebool,c_2Ebool_2ELET_2E2(s(tyop_2Emin_2Efun(tyop_2Elist_2Elist(tyop_2Emin_2Ebool),tyop_2Emin_2Ebool),F0_2E0),s(tyop_2Elist_2Elist(tyop_2Emin_2Ebool),c_2Ebitstring_2Eshiftr_2E2(s(tyop_2Elist_2Elist(tyop_2Emin_2Ebool),V1v_2E0),s(tyop_2Enum_2Enum,V0i_2E0))))) ) ) ).
fof(thm_2Ebitstring_2Eops__to__v2w,axiom,
! [A_27a,A_27b,A_27c,A_27d,A_27e,A_27f,A_27g,A_27h,A_27i,A_27j,A_27k,A_27l,A_27m,A_27n,A_27o,A_27p,A_27q,A_27r,A_27s,A_27t] :
( ! [V0v_2E0,V1n_2E0] : s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27c),c_2Ewords_2Eword__or_2E2(s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27c),c_2Ebitstring_2Ev2w_2E1(s(tyop_2Elist_2Elist(tyop_2Emin_2Ebool),V0v_2E0))),s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27c),c_2Ewords_2En2w_2E1(s(tyop_2Enum_2Enum,V1n_2E0))))) = s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27c),c_2Ewords_2Eword__or_2E2(s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27c),c_2Ebitstring_2Ev2w_2E1(s(tyop_2Elist_2Elist(tyop_2Emin_2Ebool),V0v_2E0))),s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27c),c_2Ebitstring_2Ev2w_2E1(s(tyop_2Elist_2Elist(tyop_2Emin_2Ebool),c_2Ebitstring_2En2v_2E1(s(tyop_2Enum_2Enum,V1n_2E0)))))))
& ! [V2v_2E0,V3n_2E0] : s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27d),c_2Ewords_2Eword__or_2E2(s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27d),c_2Ewords_2En2w_2E1(s(tyop_2Enum_2Enum,V3n_2E0))),s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27d),c_2Ebitstring_2Ev2w_2E1(s(tyop_2Elist_2Elist(tyop_2Emin_2Ebool),V2v_2E0))))) = s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27d),c_2Ewords_2Eword__or_2E2(s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27d),c_2Ebitstring_2Ev2w_2E1(s(tyop_2Elist_2Elist(tyop_2Emin_2Ebool),c_2Ebitstring_2En2v_2E1(s(tyop_2Enum_2Enum,V3n_2E0))))),s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27d),c_2Ebitstring_2Ev2w_2E1(s(tyop_2Elist_2Elist(tyop_2Emin_2Ebool),V2v_2E0)))))
& ! [V4v_2E0,V5n_2E0] : s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27e),c_2Ewords_2Eword__and_2E2(s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27e),c_2Ebitstring_2Ev2w_2E1(s(tyop_2Elist_2Elist(tyop_2Emin_2Ebool),V4v_2E0))),s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27e),c_2Ewords_2En2w_2E1(s(tyop_2Enum_2Enum,V5n_2E0))))) = s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27e),c_2Ewords_2Eword__and_2E2(s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27e),c_2Ebitstring_2Ev2w_2E1(s(tyop_2Elist_2Elist(tyop_2Emin_2Ebool),V4v_2E0))),s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27e),c_2Ebitstring_2Ev2w_2E1(s(tyop_2Elist_2Elist(tyop_2Emin_2Ebool),c_2Ebitstring_2En2v_2E1(s(tyop_2Enum_2Enum,V5n_2E0)))))))
& ! [V6v_2E0,V7n_2E0] : s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27f),c_2Ewords_2Eword__and_2E2(s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27f),c_2Ewords_2En2w_2E1(s(tyop_2Enum_2Enum,V7n_2E0))),s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27f),c_2Ebitstring_2Ev2w_2E1(s(tyop_2Elist_2Elist(tyop_2Emin_2Ebool),V6v_2E0))))) = s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27f),c_2Ewords_2Eword__and_2E2(s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27f),c_2Ebitstring_2Ev2w_2E1(s(tyop_2Elist_2Elist(tyop_2Emin_2Ebool),c_2Ebitstring_2En2v_2E1(s(tyop_2Enum_2Enum,V7n_2E0))))),s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27f),c_2Ebitstring_2Ev2w_2E1(s(tyop_2Elist_2Elist(tyop_2Emin_2Ebool),V6v_2E0)))))
& ! [V8v_2E0,V9n_2E0] : s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27g),c_2Ewords_2Eword__xor_2E2(s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27g),c_2Ebitstring_2Ev2w_2E1(s(tyop_2Elist_2Elist(tyop_2Emin_2Ebool),V8v_2E0))),s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27g),c_2Ewords_2En2w_2E1(s(tyop_2Enum_2Enum,V9n_2E0))))) = s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27g),c_2Ewords_2Eword__xor_2E2(s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27g),c_2Ebitstring_2Ev2w_2E1(s(tyop_2Elist_2Elist(tyop_2Emin_2Ebool),V8v_2E0))),s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27g),c_2Ebitstring_2Ev2w_2E1(s(tyop_2Elist_2Elist(tyop_2Emin_2Ebool),c_2Ebitstring_2En2v_2E1(s(tyop_2Enum_2Enum,V9n_2E0)))))))
& ! [V10v_2E0,V11n_2E0] : s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27h),c_2Ewords_2Eword__xor_2E2(s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27h),c_2Ewords_2En2w_2E1(s(tyop_2Enum_2Enum,V11n_2E0))),s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27h),c_2Ebitstring_2Ev2w_2E1(s(tyop_2Elist_2Elist(tyop_2Emin_2Ebool),V10v_2E0))))) = s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27h),c_2Ewords_2Eword__xor_2E2(s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27h),c_2Ebitstring_2Ev2w_2E1(s(tyop_2Elist_2Elist(tyop_2Emin_2Ebool),c_2Ebitstring_2En2v_2E1(s(tyop_2Enum_2Enum,V11n_2E0))))),s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27h),c_2Ebitstring_2Ev2w_2E1(s(tyop_2Elist_2Elist(tyop_2Emin_2Ebool),V10v_2E0)))))
& ! [V12v_2E0,V13n_2E0] : s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27i),c_2Ewords_2Eword__nor_2E2(s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27i),c_2Ebitstring_2Ev2w_2E1(s(tyop_2Elist_2Elist(tyop_2Emin_2Ebool),V12v_2E0))),s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27i),c_2Ewords_2En2w_2E1(s(tyop_2Enum_2Enum,V13n_2E0))))) = s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27i),c_2Ewords_2Eword__nor_2E2(s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27i),c_2Ebitstring_2Ev2w_2E1(s(tyop_2Elist_2Elist(tyop_2Emin_2Ebool),V12v_2E0))),s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27i),c_2Ebitstring_2Ev2w_2E1(s(tyop_2Elist_2Elist(tyop_2Emin_2Ebool),c_2Ebitstring_2En2v_2E1(s(tyop_2Enum_2Enum,V13n_2E0)))))))
& ! [V14v_2E0,V15n_2E0] : s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27j),c_2Ewords_2Eword__nor_2E2(s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27j),c_2Ewords_2En2w_2E1(s(tyop_2Enum_2Enum,V15n_2E0))),s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27j),c_2Ebitstring_2Ev2w_2E1(s(tyop_2Elist_2Elist(tyop_2Emin_2Ebool),V14v_2E0))))) = s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27j),c_2Ewords_2Eword__nor_2E2(s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27j),c_2Ebitstring_2Ev2w_2E1(s(tyop_2Elist_2Elist(tyop_2Emin_2Ebool),c_2Ebitstring_2En2v_2E1(s(tyop_2Enum_2Enum,V15n_2E0))))),s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27j),c_2Ebitstring_2Ev2w_2E1(s(tyop_2Elist_2Elist(tyop_2Emin_2Ebool),V14v_2E0)))))
& ! [V16v_2E0,V17n_2E0] : s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27k),c_2Ewords_2Eword__nand_2E2(s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27k),c_2Ebitstring_2Ev2w_2E1(s(tyop_2Elist_2Elist(tyop_2Emin_2Ebool),V16v_2E0))),s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27k),c_2Ewords_2En2w_2E1(s(tyop_2Enum_2Enum,V17n_2E0))))) = s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27k),c_2Ewords_2Eword__nand_2E2(s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27k),c_2Ebitstring_2Ev2w_2E1(s(tyop_2Elist_2Elist(tyop_2Emin_2Ebool),V16v_2E0))),s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27k),c_2Ebitstring_2Ev2w_2E1(s(tyop_2Elist_2Elist(tyop_2Emin_2Ebool),c_2Ebitstring_2En2v_2E1(s(tyop_2Enum_2Enum,V17n_2E0)))))))
& ! [V18v_2E0,V19n_2E0] : s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27l),c_2Ewords_2Eword__nand_2E2(s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27l),c_2Ewords_2En2w_2E1(s(tyop_2Enum_2Enum,V19n_2E0))),s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27l),c_2Ebitstring_2Ev2w_2E1(s(tyop_2Elist_2Elist(tyop_2Emin_2Ebool),V18v_2E0))))) = s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27l),c_2Ewords_2Eword__nand_2E2(s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27l),c_2Ebitstring_2Ev2w_2E1(s(tyop_2Elist_2Elist(tyop_2Emin_2Ebool),c_2Ebitstring_2En2v_2E1(s(tyop_2Enum_2Enum,V19n_2E0))))),s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27l),c_2Ebitstring_2Ev2w_2E1(s(tyop_2Elist_2Elist(tyop_2Emin_2Ebool),V18v_2E0)))))
& ! [V20v_2E0,V21n_2E0] : s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27m),c_2Ewords_2Eword__xnor_2E2(s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27m),c_2Ebitstring_2Ev2w_2E1(s(tyop_2Elist_2Elist(tyop_2Emin_2Ebool),V20v_2E0))),s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27m),c_2Ewords_2En2w_2E1(s(tyop_2Enum_2Enum,V21n_2E0))))) = s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27m),c_2Ewords_2Eword__xnor_2E2(s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27m),c_2Ebitstring_2Ev2w_2E1(s(tyop_2Elist_2Elist(tyop_2Emin_2Ebool),V20v_2E0))),s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27m),c_2Ebitstring_2Ev2w_2E1(s(tyop_2Elist_2Elist(tyop_2Emin_2Ebool),c_2Ebitstring_2En2v_2E1(s(tyop_2Enum_2Enum,V21n_2E0)))))))
& ! [V22v_2E0,V23n_2E0] : s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27n),c_2Ewords_2Eword__xnor_2E2(s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27n),c_2Ewords_2En2w_2E1(s(tyop_2Enum_2Enum,V23n_2E0))),s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27n),c_2Ebitstring_2Ev2w_2E1(s(tyop_2Elist_2Elist(tyop_2Emin_2Ebool),V22v_2E0))))) = s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27n),c_2Ewords_2Eword__xnor_2E2(s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27n),c_2Ebitstring_2Ev2w_2E1(s(tyop_2Elist_2Elist(tyop_2Emin_2Ebool),c_2Ebitstring_2En2v_2E1(s(tyop_2Enum_2Enum,V23n_2E0))))),s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27n),c_2Ebitstring_2Ev2w_2E1(s(tyop_2Elist_2Elist(tyop_2Emin_2Ebool),V22v_2E0)))))
& ! [V24v_2E0,V25n_2E0] : s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27o),c_2Ewords_2Eword__concat_2E2(s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27a),c_2Ebitstring_2Ev2w_2E1(s(tyop_2Elist_2Elist(tyop_2Emin_2Ebool),V24v_2E0))),s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27b),c_2Ewords_2En2w_2E1(s(tyop_2Enum_2Enum,V25n_2E0))))) = s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27o),c_2Ewords_2Eword__concat_2E2(s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27a),c_2Ebitstring_2Ev2w_2E1(s(tyop_2Elist_2Elist(tyop_2Emin_2Ebool),V24v_2E0))),s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27b),c_2Ebitstring_2Ev2w_2E1(s(tyop_2Elist_2Elist(tyop_2Emin_2Ebool),c_2Ebitstring_2En2v_2E1(s(tyop_2Enum_2Enum,V25n_2E0)))))))
& ! [V26v_2E0,V27n_2E0] : s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27p),c_2Ewords_2Eword__concat_2E2(s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27a),c_2Ewords_2En2w_2E1(s(tyop_2Enum_2Enum,V27n_2E0))),s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27b),c_2Ebitstring_2Ev2w_2E1(s(tyop_2Elist_2Elist(tyop_2Emin_2Ebool),V26v_2E0))))) = s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27p),c_2Ewords_2Eword__concat_2E2(s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27a),c_2Ebitstring_2Ev2w_2E1(s(tyop_2Elist_2Elist(tyop_2Emin_2Ebool),c_2Ebitstring_2En2v_2E1(s(tyop_2Enum_2Enum,V27n_2E0))))),s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27b),c_2Ebitstring_2Ev2w_2E1(s(tyop_2Elist_2Elist(tyop_2Emin_2Ebool),V26v_2E0)))))
& ! [V28v_2E0,V29n_2E0] : s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,tyop_2Esum_2Esum(A_27q,A_27r)),c_2Ewords_2Eword__join_2E2(s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27q),c_2Ebitstring_2Ev2w_2E1(s(tyop_2Elist_2Elist(tyop_2Emin_2Ebool),V28v_2E0))),s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27r),c_2Ewords_2En2w_2E1(s(tyop_2Enum_2Enum,V29n_2E0))))) = s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,tyop_2Esum_2Esum(A_27q,A_27r)),c_2Ewords_2Eword__join_2E2(s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27q),c_2Ebitstring_2Ev2w_2E1(s(tyop_2Elist_2Elist(tyop_2Emin_2Ebool),V28v_2E0))),s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27r),c_2Ebitstring_2Ev2w_2E1(s(tyop_2Elist_2Elist(tyop_2Emin_2Ebool),c_2Ebitstring_2En2v_2E1(s(tyop_2Enum_2Enum,V29n_2E0)))))))
& ! [V30v_2E0,V31n_2E0] : s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,tyop_2Esum_2Esum(A_27s,A_27t)),c_2Ewords_2Eword__join_2E2(s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27s),c_2Ewords_2En2w_2E1(s(tyop_2Enum_2Enum,V31n_2E0))),s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27t),c_2Ebitstring_2Ev2w_2E1(s(tyop_2Elist_2Elist(tyop_2Emin_2Ebool),V30v_2E0))))) = s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,tyop_2Esum_2Esum(A_27s,A_27t)),c_2Ewords_2Eword__join_2E2(s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27s),c_2Ebitstring_2Ev2w_2E1(s(tyop_2Elist_2Elist(tyop_2Emin_2Ebool),c_2Ebitstring_2En2v_2E1(s(tyop_2Enum_2Enum,V31n_2E0))))),s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27t),c_2Ebitstring_2Ev2w_2E1(s(tyop_2Elist_2Elist(tyop_2Emin_2Ebool),V30v_2E0))))) ) ).
fof(thm_2Ebitstring_2Eops__to__n2w,axiom,
! [A_27a,A_27b,A_27c,A_27d,A_27e,A_27f,A_27g,A_27h,A_27i,A_27j,A_27k,A_27l,A_27m,A_27n,A_27o] :
( ! [V0v_2E0] : s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27b),c_2Ewords_2Eword__2comp_2E1(s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27b),c_2Ebitstring_2Ev2w_2E1(s(tyop_2Elist_2Elist(tyop_2Emin_2Ebool),V0v_2E0))))) = s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27b),c_2Ewords_2Eword__2comp_2E1(s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27b),c_2Ewords_2En2w_2E1(s(tyop_2Enum_2Enum,c_2Ebitstring_2Ev2n_2E1(s(tyop_2Elist_2Elist(tyop_2Emin_2Ebool),V0v_2E0)))))))
& ! [V1v_2E0] : s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27c),c_2Ewords_2Eword__log2_2E1(s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27c),c_2Ebitstring_2Ev2w_2E1(s(tyop_2Elist_2Elist(tyop_2Emin_2Ebool),V1v_2E0))))) = s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27c),c_2Ewords_2Eword__log2_2E1(s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27c),c_2Ewords_2En2w_2E1(s(tyop_2Enum_2Enum,c_2Ebitstring_2Ev2n_2E1(s(tyop_2Elist_2Elist(tyop_2Emin_2Ebool),V1v_2E0)))))))
& ! [V2v_2E0,V3n_2E0] :
( s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27a),c_2Ebitstring_2Ev2w_2E1(s(tyop_2Elist_2Elist(tyop_2Emin_2Ebool),V2v_2E0))) = s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27a),c_2Ewords_2En2w_2E1(s(tyop_2Enum_2Enum,V3n_2E0)))
<=> s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27a),c_2Ewords_2En2w_2E1(s(tyop_2Enum_2Enum,c_2Ebitstring_2Ev2n_2E1(s(tyop_2Elist_2Elist(tyop_2Emin_2Ebool),V2v_2E0))))) = s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27a),c_2Ewords_2En2w_2E1(s(tyop_2Enum_2Enum,V3n_2E0))) )
& ! [V4v_2E0,V5n_2E0] :
( s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27a),c_2Ewords_2En2w_2E1(s(tyop_2Enum_2Enum,V5n_2E0))) = s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27a),c_2Ebitstring_2Ev2w_2E1(s(tyop_2Elist_2Elist(tyop_2Emin_2Ebool),V4v_2E0)))
<=> s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27a),c_2Ewords_2En2w_2E1(s(tyop_2Enum_2Enum,V5n_2E0))) = s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27a),c_2Ewords_2En2w_2E1(s(tyop_2Enum_2Enum,c_2Ebitstring_2Ev2n_2E1(s(tyop_2Elist_2Elist(tyop_2Emin_2Ebool),V4v_2E0))))) )
& ! [V6v_2E0,V7w_2E0] : s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27d),c_2Ewords_2Eword__add_2E2(s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27d),c_2Ebitstring_2Ev2w_2E1(s(tyop_2Elist_2Elist(tyop_2Emin_2Ebool),V6v_2E0))),s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27d),V7w_2E0))) = s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27d),c_2Ewords_2Eword__add_2E2(s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27d),c_2Ewords_2En2w_2E1(s(tyop_2Enum_2Enum,c_2Ebitstring_2Ev2n_2E1(s(tyop_2Elist_2Elist(tyop_2Emin_2Ebool),V6v_2E0))))),s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27d),V7w_2E0)))
& ! [V8v_2E0,V9w_2E0] : s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27e),c_2Ewords_2Eword__add_2E2(s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27e),V9w_2E0),s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27e),c_2Ebitstring_2Ev2w_2E1(s(tyop_2Elist_2Elist(tyop_2Emin_2Ebool),V8v_2E0))))) = s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27e),c_2Ewords_2Eword__add_2E2(s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27e),V9w_2E0),s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27e),c_2Ewords_2En2w_2E1(s(tyop_2Enum_2Enum,c_2Ebitstring_2Ev2n_2E1(s(tyop_2Elist_2Elist(tyop_2Emin_2Ebool),V8v_2E0)))))))
& ! [V10v_2E0,V11w_2E0] : s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27f),c_2Ewords_2Eword__sub_2E2(s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27f),c_2Ebitstring_2Ev2w_2E1(s(tyop_2Elist_2Elist(tyop_2Emin_2Ebool),V10v_2E0))),s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27f),V11w_2E0))) = s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27f),c_2Ewords_2Eword__sub_2E2(s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27f),c_2Ewords_2En2w_2E1(s(tyop_2Enum_2Enum,c_2Ebitstring_2Ev2n_2E1(s(tyop_2Elist_2Elist(tyop_2Emin_2Ebool),V10v_2E0))))),s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27f),V11w_2E0)))
& ! [V12v_2E0,V13w_2E0] : s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27g),c_2Ewords_2Eword__sub_2E2(s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27g),V13w_2E0),s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27g),c_2Ebitstring_2Ev2w_2E1(s(tyop_2Elist_2Elist(tyop_2Emin_2Ebool),V12v_2E0))))) = s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27g),c_2Ewords_2Eword__sub_2E2(s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27g),V13w_2E0),s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27g),c_2Ewords_2En2w_2E1(s(tyop_2Enum_2Enum,c_2Ebitstring_2Ev2n_2E1(s(tyop_2Elist_2Elist(tyop_2Emin_2Ebool),V12v_2E0)))))))
& ! [V14v_2E0,V15w_2E0] : s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27h),c_2Ewords_2Eword__mul_2E2(s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27h),c_2Ebitstring_2Ev2w_2E1(s(tyop_2Elist_2Elist(tyop_2Emin_2Ebool),V14v_2E0))),s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27h),V15w_2E0))) = s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27h),c_2Ewords_2Eword__mul_2E2(s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27h),c_2Ewords_2En2w_2E1(s(tyop_2Enum_2Enum,c_2Ebitstring_2Ev2n_2E1(s(tyop_2Elist_2Elist(tyop_2Emin_2Ebool),V14v_2E0))))),s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27h),V15w_2E0)))
& ! [V16v_2E0,V17w_2E0] : s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27i),c_2Ewords_2Eword__mul_2E2(s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27i),V17w_2E0),s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27i),c_2Ebitstring_2Ev2w_2E1(s(tyop_2Elist_2Elist(tyop_2Emin_2Ebool),V16v_2E0))))) = s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27i),c_2Ewords_2Eword__mul_2E2(s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27i),V17w_2E0),s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27i),c_2Ewords_2En2w_2E1(s(tyop_2Enum_2Enum,c_2Ebitstring_2Ev2n_2E1(s(tyop_2Elist_2Elist(tyop_2Emin_2Ebool),V16v_2E0)))))))
& ! [V18v_2E0,V19w_2E0] : s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27j),c_2Ewords_2Eword__quot_2E2(s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27j),c_2Ebitstring_2Ev2w_2E1(s(tyop_2Elist_2Elist(tyop_2Emin_2Ebool),V18v_2E0))),s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27j),V19w_2E0))) = s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27j),c_2Ewords_2Eword__quot_2E2(s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27j),c_2Ewords_2En2w_2E1(s(tyop_2Enum_2Enum,c_2Ebitstring_2Ev2n_2E1(s(tyop_2Elist_2Elist(tyop_2Emin_2Ebool),V18v_2E0))))),s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27j),V19w_2E0)))
& ! [V20v_2E0,V21w_2E0] : s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27k),c_2Ewords_2Eword__quot_2E2(s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27k),V21w_2E0),s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27k),c_2Ebitstring_2Ev2w_2E1(s(tyop_2Elist_2Elist(tyop_2Emin_2Ebool),V20v_2E0))))) = s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27k),c_2Ewords_2Eword__quot_2E2(s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27k),V21w_2E0),s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27k),c_2Ewords_2En2w_2E1(s(tyop_2Enum_2Enum,c_2Ebitstring_2Ev2n_2E1(s(tyop_2Elist_2Elist(tyop_2Emin_2Ebool),V20v_2E0)))))))
& ! [V22v_2E0,V23w_2E0] : s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27l),c_2Ewords_2Eword__div_2E2(s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27l),c_2Ebitstring_2Ev2w_2E1(s(tyop_2Elist_2Elist(tyop_2Emin_2Ebool),V22v_2E0))),s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27l),V23w_2E0))) = s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27l),c_2Ewords_2Eword__div_2E2(s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27l),c_2Ewords_2En2w_2E1(s(tyop_2Enum_2Enum,c_2Ebitstring_2Ev2n_2E1(s(tyop_2Elist_2Elist(tyop_2Emin_2Ebool),V22v_2E0))))),s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27l),V23w_2E0)))
& ! [V24v_2E0,V25w_2E0] : s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27m),c_2Ewords_2Eword__div_2E2(s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27m),V25w_2E0),s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27m),c_2Ebitstring_2Ev2w_2E1(s(tyop_2Elist_2Elist(tyop_2Emin_2Ebool),V24v_2E0))))) = s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27m),c_2Ewords_2Eword__div_2E2(s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27m),V25w_2E0),s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27m),c_2Ewords_2En2w_2E1(s(tyop_2Enum_2Enum,c_2Ebitstring_2Ev2n_2E1(s(tyop_2Elist_2Elist(tyop_2Emin_2Ebool),V24v_2E0)))))))
& ! [V26v_2E0,V27w_2E0] : s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27n),c_2Ewords_2Eword__mod_2E2(s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27n),c_2Ebitstring_2Ev2w_2E1(s(tyop_2Elist_2Elist(tyop_2Emin_2Ebool),V26v_2E0))),s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27n),V27w_2E0))) = s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27n),c_2Ewords_2Eword__mod_2E2(s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27n),c_2Ewords_2En2w_2E1(s(tyop_2Enum_2Enum,c_2Ebitstring_2Ev2n_2E1(s(tyop_2Elist_2Elist(tyop_2Emin_2Ebool),V26v_2E0))))),s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27n),V27w_2E0)))
& ! [V28v_2E0,V29w_2E0] : s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27o),c_2Ewords_2Eword__mod_2E2(s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27o),V29w_2E0),s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27o),c_2Ebitstring_2Ev2w_2E1(s(tyop_2Elist_2Elist(tyop_2Emin_2Ebool),V28v_2E0))))) = s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27o),c_2Ewords_2Eword__mod_2E2(s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27o),V29w_2E0),s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27o),c_2Ewords_2En2w_2E1(s(tyop_2Enum_2Enum,c_2Ebitstring_2Ev2n_2E1(s(tyop_2Elist_2Elist(tyop_2Emin_2Ebool),V28v_2E0)))))))
& ! [V30v_2E0,V31w_2E0] : s(tyop_2Emin_2Ebool,c_2Ewords_2Eword__lt_2E2(s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27a),c_2Ebitstring_2Ev2w_2E1(s(tyop_2Elist_2Elist(tyop_2Emin_2Ebool),V30v_2E0))),s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27a),V31w_2E0))) = s(tyop_2Emin_2Ebool,c_2Ewords_2Eword__lt_2E2(s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27a),c_2Ewords_2En2w_2E1(s(tyop_2Enum_2Enum,c_2Ebitstring_2Ev2n_2E1(s(tyop_2Elist_2Elist(tyop_2Emin_2Ebool),V30v_2E0))))),s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27a),V31w_2E0)))
& ! [V32v_2E0,V33w_2E0] : s(tyop_2Emin_2Ebool,c_2Ewords_2Eword__lt_2E2(s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27a),V33w_2E0),s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27a),c_2Ebitstring_2Ev2w_2E1(s(tyop_2Elist_2Elist(tyop_2Emin_2Ebool),V32v_2E0))))) = s(tyop_2Emin_2Ebool,c_2Ewords_2Eword__lt_2E2(s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27a),V33w_2E0),s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27a),c_2Ewords_2En2w_2E1(s(tyop_2Enum_2Enum,c_2Ebitstring_2Ev2n_2E1(s(tyop_2Elist_2Elist(tyop_2Emin_2Ebool),V32v_2E0)))))))
& ! [V34v_2E0,V35w_2E0] : s(tyop_2Emin_2Ebool,c_2Ewords_2Eword__gt_2E2(s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27a),c_2Ebitstring_2Ev2w_2E1(s(tyop_2Elist_2Elist(tyop_2Emin_2Ebool),V34v_2E0))),s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27a),V35w_2E0))) = s(tyop_2Emin_2Ebool,c_2Ewords_2Eword__gt_2E2(s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27a),c_2Ewords_2En2w_2E1(s(tyop_2Enum_2Enum,c_2Ebitstring_2Ev2n_2E1(s(tyop_2Elist_2Elist(tyop_2Emin_2Ebool),V34v_2E0))))),s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27a),V35w_2E0)))
& ! [V36v_2E0,V37w_2E0] : s(tyop_2Emin_2Ebool,c_2Ewords_2Eword__gt_2E2(s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27a),V37w_2E0),s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27a),c_2Ebitstring_2Ev2w_2E1(s(tyop_2Elist_2Elist(tyop_2Emin_2Ebool),V36v_2E0))))) = s(tyop_2Emin_2Ebool,c_2Ewords_2Eword__gt_2E2(s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27a),V37w_2E0),s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27a),c_2Ewords_2En2w_2E1(s(tyop_2Enum_2Enum,c_2Ebitstring_2Ev2n_2E1(s(tyop_2Elist_2Elist(tyop_2Emin_2Ebool),V36v_2E0)))))))
& ! [V38v_2E0,V39w_2E0] : s(tyop_2Emin_2Ebool,c_2Ewords_2Eword__le_2E2(s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27a),c_2Ebitstring_2Ev2w_2E1(s(tyop_2Elist_2Elist(tyop_2Emin_2Ebool),V38v_2E0))),s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27a),V39w_2E0))) = s(tyop_2Emin_2Ebool,c_2Ewords_2Eword__le_2E2(s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27a),c_2Ewords_2En2w_2E1(s(tyop_2Enum_2Enum,c_2Ebitstring_2Ev2n_2E1(s(tyop_2Elist_2Elist(tyop_2Emin_2Ebool),V38v_2E0))))),s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27a),V39w_2E0)))
& ! [V40v_2E0,V41w_2E0] : s(tyop_2Emin_2Ebool,c_2Ewords_2Eword__le_2E2(s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27a),V41w_2E0),s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27a),c_2Ebitstring_2Ev2w_2E1(s(tyop_2Elist_2Elist(tyop_2Emin_2Ebool),V40v_2E0))))) = s(tyop_2Emin_2Ebool,c_2Ewords_2Eword__le_2E2(s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27a),V41w_2E0),s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27a),c_2Ewords_2En2w_2E1(s(tyop_2Enum_2Enum,c_2Ebitstring_2Ev2n_2E1(s(tyop_2Elist_2Elist(tyop_2Emin_2Ebool),V40v_2E0)))))))
& ! [V42v_2E0,V43w_2E0] : s(tyop_2Emin_2Ebool,c_2Ewords_2Eword__ge_2E2(s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27a),c_2Ebitstring_2Ev2w_2E1(s(tyop_2Elist_2Elist(tyop_2Emin_2Ebool),V42v_2E0))),s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27a),V43w_2E0))) = s(tyop_2Emin_2Ebool,c_2Ewords_2Eword__ge_2E2(s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27a),c_2Ewords_2En2w_2E1(s(tyop_2Enum_2Enum,c_2Ebitstring_2Ev2n_2E1(s(tyop_2Elist_2Elist(tyop_2Emin_2Ebool),V42v_2E0))))),s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27a),V43w_2E0)))
& ! [V44v_2E0,V45w_2E0] : s(tyop_2Emin_2Ebool,c_2Ewords_2Eword__ge_2E2(s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27a),V45w_2E0),s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27a),c_2Ebitstring_2Ev2w_2E1(s(tyop_2Elist_2Elist(tyop_2Emin_2Ebool),V44v_2E0))))) = s(tyop_2Emin_2Ebool,c_2Ewords_2Eword__ge_2E2(s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27a),V45w_2E0),s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27a),c_2Ewords_2En2w_2E1(s(tyop_2Enum_2Enum,c_2Ebitstring_2Ev2n_2E1(s(tyop_2Elist_2Elist(tyop_2Emin_2Ebool),V44v_2E0)))))))
& ! [V46v_2E0,V47w_2E0] : s(tyop_2Emin_2Ebool,c_2Ewords_2Eword__lo_2E2(s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27a),c_2Ebitstring_2Ev2w_2E1(s(tyop_2Elist_2Elist(tyop_2Emin_2Ebool),V46v_2E0))),s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27a),V47w_2E0))) = s(tyop_2Emin_2Ebool,c_2Ewords_2Eword__lo_2E2(s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27a),c_2Ewords_2En2w_2E1(s(tyop_2Enum_2Enum,c_2Ebitstring_2Ev2n_2E1(s(tyop_2Elist_2Elist(tyop_2Emin_2Ebool),V46v_2E0))))),s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27a),V47w_2E0)))
& ! [V48v_2E0,V49w_2E0] : s(tyop_2Emin_2Ebool,c_2Ewords_2Eword__lo_2E2(s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27a),V49w_2E0),s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27a),c_2Ebitstring_2Ev2w_2E1(s(tyop_2Elist_2Elist(tyop_2Emin_2Ebool),V48v_2E0))))) = s(tyop_2Emin_2Ebool,c_2Ewords_2Eword__lo_2E2(s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27a),V49w_2E0),s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27a),c_2Ewords_2En2w_2E1(s(tyop_2Enum_2Enum,c_2Ebitstring_2Ev2n_2E1(s(tyop_2Elist_2Elist(tyop_2Emin_2Ebool),V48v_2E0)))))))
& ! [V50v_2E0,V51w_2E0] : s(tyop_2Emin_2Ebool,c_2Ewords_2Eword__hi_2E2(s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27a),c_2Ebitstring_2Ev2w_2E1(s(tyop_2Elist_2Elist(tyop_2Emin_2Ebool),V50v_2E0))),s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27a),V51w_2E0))) = s(tyop_2Emin_2Ebool,c_2Ewords_2Eword__hi_2E2(s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27a),c_2Ewords_2En2w_2E1(s(tyop_2Enum_2Enum,c_2Ebitstring_2Ev2n_2E1(s(tyop_2Elist_2Elist(tyop_2Emin_2Ebool),V50v_2E0))))),s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27a),V51w_2E0)))
& ! [V52v_2E0,V53w_2E0] : s(tyop_2Emin_2Ebool,c_2Ewords_2Eword__hi_2E2(s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27a),V53w_2E0),s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27a),c_2Ebitstring_2Ev2w_2E1(s(tyop_2Elist_2Elist(tyop_2Emin_2Ebool),V52v_2E0))))) = s(tyop_2Emin_2Ebool,c_2Ewords_2Eword__hi_2E2(s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27a),V53w_2E0),s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27a),c_2Ewords_2En2w_2E1(s(tyop_2Enum_2Enum,c_2Ebitstring_2Ev2n_2E1(s(tyop_2Elist_2Elist(tyop_2Emin_2Ebool),V52v_2E0)))))))
& ! [V54v_2E0,V55w_2E0] : s(tyop_2Emin_2Ebool,c_2Ewords_2Eword__ls_2E2(s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27a),c_2Ebitstring_2Ev2w_2E1(s(tyop_2Elist_2Elist(tyop_2Emin_2Ebool),V54v_2E0))),s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27a),V55w_2E0))) = s(tyop_2Emin_2Ebool,c_2Ewords_2Eword__ls_2E2(s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27a),c_2Ewords_2En2w_2E1(s(tyop_2Enum_2Enum,c_2Ebitstring_2Ev2n_2E1(s(tyop_2Elist_2Elist(tyop_2Emin_2Ebool),V54v_2E0))))),s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27a),V55w_2E0)))
& ! [V56v_2E0,V57w_2E0] : s(tyop_2Emin_2Ebool,c_2Ewords_2Eword__ls_2E2(s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27a),V57w_2E0),s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27a),c_2Ebitstring_2Ev2w_2E1(s(tyop_2Elist_2Elist(tyop_2Emin_2Ebool),V56v_2E0))))) = s(tyop_2Emin_2Ebool,c_2Ewords_2Eword__ls_2E2(s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27a),V57w_2E0),s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27a),c_2Ewords_2En2w_2E1(s(tyop_2Enum_2Enum,c_2Ebitstring_2Ev2n_2E1(s(tyop_2Elist_2Elist(tyop_2Emin_2Ebool),V56v_2E0)))))))
& ! [V58v_2E0,V59w_2E0] : s(tyop_2Emin_2Ebool,c_2Ewords_2Eword__hs_2E2(s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27a),c_2Ebitstring_2Ev2w_2E1(s(tyop_2Elist_2Elist(tyop_2Emin_2Ebool),V58v_2E0))),s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27a),V59w_2E0))) = s(tyop_2Emin_2Ebool,c_2Ewords_2Eword__hs_2E2(s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27a),c_2Ewords_2En2w_2E1(s(tyop_2Enum_2Enum,c_2Ebitstring_2Ev2n_2E1(s(tyop_2Elist_2Elist(tyop_2Emin_2Ebool),V58v_2E0))))),s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27a),V59w_2E0)))
& ! [V60v_2E0,V61w_2E0] : s(tyop_2Emin_2Ebool,c_2Ewords_2Eword__hs_2E2(s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27a),V61w_2E0),s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27a),c_2Ebitstring_2Ev2w_2E1(s(tyop_2Elist_2Elist(tyop_2Emin_2Ebool),V60v_2E0))))) = s(tyop_2Emin_2Ebool,c_2Ewords_2Eword__hs_2E2(s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27a),V61w_2E0),s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27a),c_2Ewords_2En2w_2E1(s(tyop_2Enum_2Enum,c_2Ebitstring_2Ev2n_2E1(s(tyop_2Elist_2Elist(tyop_2Emin_2Ebool),V60v_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) ) ).
%------------------------------------------------------------------------------