TPTP Problem File: SWW879+1.p
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%------------------------------------------------------------------------------
% File : SWW879+1 : TPTP v8.2.0. Released v7.3.0.
% Domain : Software Verification
% Problem : presLang__12__tactictoe_prove_16__dep
% Version : Especial.
% English :
% Refs : [Kum18] Kumar (2018), Email to Geoff Sutcliffe
% Source : [Kum18]
% Names : presLang__12__tactictoe_prove_16__dep [Kum18]
% Status : Theorem
% Rating : 1.00 v7.3.0
% Syntax : Number of formulae : 35 ( 11 unt; 0 def)
% Number of atoms : 225 ( 149 equ)
% Maximal formula atoms : 56 ( 6 avg)
% Number of connectives : 208 ( 18 ~; 5 |; 137 &)
% ( 27 <=>; 21 =>; 0 <=; 0 <~>)
% Maximal formula depth : 59 ( 8 avg)
% Maximal term depth : 19 ( 3 avg)
% Number of predicates : 2 ( 1 usr; 0 prp; 1-2 aty)
% Number of functors : 101 ( 101 usr; 18 con; 0-5 aty)
% Number of variables : 231 ( 231 !; 0 ?)
% SPC : FOF_THM_RFO_SEQ
% Comments :
%------------------------------------------------------------------------------
fof('HL_TRUTH',axiom,
p__01(s__02(cbool__00,cT__00)) ).
fof('HL_FALSITY',axiom,
~ p__01(s__02(cbool__00,cF__00)) ).
fof('HL_BOOL_CASES',axiom,
! [Vt] :
( s__02(cbool__00,Vt) = s__02(cbool__00,cT__00)
| s__02(cbool__00,Vt) = s__02(cbool__00,cF__00) ) ).
fof('HL_EXT',axiom,
! [V_3f2384,V_3f2380,Vf,Vg] :
( ! [Vx] : s__02(V_3f2380,chapp__02(s__02(cfun__02(V_3f2384,V_3f2380),Vf),s__02(V_3f2384,Vx))) = s__02(V_3f2380,chapp__02(s__02(cfun__02(V_3f2384,V_3f2380),Vg),s__02(V_3f2384,Vx)))
=> s__02(cfun__02(V_3f2384,V_3f2380),Vf) = s__02(cfun__02(V_3f2384,V_3f2380),Vg) ) ).
fof('thm.bool.ETA_AX',axiom,
! [V_27B_27,V_27A_27,V_27t_27,Vx] : s__02(V_27B_27,chapp__02(s__02(cfun__02(V_27A_27,V_27B_27),V_27t_27),s__02(V_27A_27,Vx))) = s__02(V_27B_27,chapp__02(s__02(cfun__02(V_27A_27,V_27B_27),V_27t_27),s__02(V_27A_27,Vx))) ).
fof('thm.bool.TRUTH',axiom,
p__01(s__02(cbool__00,cT__00)) ).
fof('thm.bool.FALSITY',axiom,
! [V_27t_27] :
( p__01(s__02(cbool__00,cF__00))
=> p__01(s__02(cbool__00,V_27t_27)) ) ).
fof('thm.bool.FORALL_SIMP',axiom,
! [V_27A_27,V_27t_27] :
( ! [V_27x_27] : p__01(s__02(cbool__00,V_27t_27))
<=> p__01(s__02(cbool__00,V_27t_27)) ) ).
fof('thm.bool.IMP_CLAUSES',axiom,
! [V_27t_27] :
( ( ( p__01(s__02(cbool__00,cT__00))
=> p__01(s__02(cbool__00,V_27t_27)) )
<=> p__01(s__02(cbool__00,V_27t_27)) )
& ( ( p__01(s__02(cbool__00,V_27t_27))
=> p__01(s__02(cbool__00,cT__00)) )
<=> p__01(s__02(cbool__00,cT__00)) )
& ( ( p__01(s__02(cbool__00,cF__00))
=> p__01(s__02(cbool__00,V_27t_27)) )
<=> p__01(s__02(cbool__00,cT__00)) )
& ( ( p__01(s__02(cbool__00,V_27t_27))
=> p__01(s__02(cbool__00,V_27t_27)) )
<=> p__01(s__02(cbool__00,cT__00)) )
& ( ( p__01(s__02(cbool__00,V_27t_27))
=> p__01(s__02(cbool__00,cF__00)) )
<=> ~ p__01(s__02(cbool__00,V_27t_27)) ) ) ).
fof('thm.bool.NOT_CLAUSES',axiom,
( ! [V_27t_27] :
( ~ ~ p__01(s__02(cbool__00,V_27t_27))
<=> p__01(s__02(cbool__00,V_27t_27)) )
& ( ~ p__01(s__02(cbool__00,cT__00))
<=> p__01(s__02(cbool__00,cF__00)) )
& ( ~ p__01(s__02(cbool__00,cF__00))
<=> p__01(s__02(cbool__00,cT__00)) ) ) ).
fof('thm.bool.EQ_SYM_EQ',axiom,
! [V_27A_27,V_27x_27,V_27y_27] :
( s__02(V_27A_27,V_27x_27) = s__02(V_27A_27,V_27y_27)
<=> s__02(V_27A_27,V_27y_27) = s__02(V_27A_27,V_27x_27) ) ).
fof('thm.bool.EQ_CLAUSES',axiom,
! [V_27t_27] :
( ( s__02(cbool__00,cT__00) = s__02(cbool__00,V_27t_27)
<=> p__01(s__02(cbool__00,V_27t_27)) )
& ( s__02(cbool__00,V_27t_27) = s__02(cbool__00,cT__00)
<=> p__01(s__02(cbool__00,V_27t_27)) )
& ( s__02(cbool__00,cF__00) = s__02(cbool__00,V_27t_27)
<=> ~ p__01(s__02(cbool__00,V_27t_27)) )
& ( s__02(cbool__00,V_27t_27) = s__02(cbool__00,cF__00)
<=> ~ p__01(s__02(cbool__00,V_27t_27)) ) ) ).
fof('thm.bool.DE_MORGAN_THM',axiom,
! [V_27A_270,V_27B_270] :
( ( ~ ( p__01(s__02(cbool__00,V_27A_270))
& p__01(s__02(cbool__00,V_27B_270)) )
<=> ( ~ p__01(s__02(cbool__00,V_27A_270))
| ~ p__01(s__02(cbool__00,V_27B_270)) ) )
& ( ~ ( p__01(s__02(cbool__00,V_27A_270))
| p__01(s__02(cbool__00,V_27B_270)) )
<=> ( ~ p__01(s__02(cbool__00,V_27A_270))
& ~ p__01(s__02(cbool__00,V_27B_270)) ) ) ) ).
fof('thm.bool.IMP_DISJ_THM',axiom,
! [V_27A_270,V_27B_270] :
( ( p__01(s__02(cbool__00,V_27A_270))
=> p__01(s__02(cbool__00,V_27B_270)) )
<=> ( ~ p__01(s__02(cbool__00,V_27A_270))
| p__01(s__02(cbool__00,V_27B_270)) ) ) ).
fof('thm.bool.IMP_F_EQ_F',axiom,
! [V_27t_27] :
( ( p__01(s__02(cbool__00,V_27t_27))
=> p__01(s__02(cbool__00,cF__00)) )
<=> s__02(cbool__00,V_27t_27) = s__02(cbool__00,cF__00) ) ).
fof('thm.bool.AND_IMP_INTRO',axiom,
! [V_27t1_27,V_27t2_27,V_27t3_27] :
( ( p__01(s__02(cbool__00,V_27t1_27))
=> ( p__01(s__02(cbool__00,V_27t2_27))
=> p__01(s__02(cbool__00,V_27t3_27)) ) )
<=> ( ( p__01(s__02(cbool__00,V_27t1_27))
& p__01(s__02(cbool__00,V_27t2_27)) )
=> p__01(s__02(cbool__00,V_27t3_27)) ) ) ).
fof('thm.bool.IMP_CONG',axiom,
! [V_27x_27,V_27x_7c39_7c_27,V_27y_27,V_27y_7c39_7c_27] :
( ( s__02(cbool__00,V_27x_27) = s__02(cbool__00,V_27x_7c39_7c_27)
& ( p__01(s__02(cbool__00,V_27x_7c39_7c_27))
=> s__02(cbool__00,V_27y_27) = s__02(cbool__00,V_27y_7c39_7c_27) ) )
=> ( ( p__01(s__02(cbool__00,V_27x_27))
=> p__01(s__02(cbool__00,V_27y_27)) )
<=> ( p__01(s__02(cbool__00,V_27x_7c39_7c_27))
=> p__01(s__02(cbool__00,V_27y_7c39_7c_27)) ) ) ) ).
fof('thm.arithmetic.ADD_CLAUSES',axiom,
! [V_27n_27,V_27m_27] :
( s__02(c_27type_2enum_2enum_27__00,c_27const_2earithmetic_2e_2b_27__02(s__02(c_27type_2enum_2enum_27__00,c_27const_2enum_2e0_27__00),s__02(c_27type_2enum_2enum_27__00,V_27m_27))) = s__02(c_27type_2enum_2enum_27__00,V_27m_27)
& s__02(c_27type_2enum_2enum_27__00,c_27const_2earithmetic_2e_2b_27__02(s__02(c_27type_2enum_2enum_27__00,V_27m_27),s__02(c_27type_2enum_2enum_27__00,c_27const_2enum_2e0_27__00))) = s__02(c_27type_2enum_2enum_27__00,V_27m_27)
& s__02(c_27type_2enum_2enum_27__00,c_27const_2earithmetic_2e_2b_27__02(s__02(c_27type_2enum_2enum_27__00,c_27const_2enum_2eSUC_27__01(s__02(c_27type_2enum_2enum_27__00,V_27m_27))),s__02(c_27type_2enum_2enum_27__00,V_27n_27))) = s__02(c_27type_2enum_2enum_27__00,c_27const_2enum_2eSUC_27__01(s__02(c_27type_2enum_2enum_27__00,c_27const_2earithmetic_2e_2b_27__02(s__02(c_27type_2enum_2enum_27__00,V_27m_27),s__02(c_27type_2enum_2enum_27__00,V_27n_27)))))
& s__02(c_27type_2enum_2enum_27__00,c_27const_2earithmetic_2e_2b_27__02(s__02(c_27type_2enum_2enum_27__00,V_27m_27),s__02(c_27type_2enum_2enum_27__00,c_27const_2enum_2eSUC_27__01(s__02(c_27type_2enum_2enum_27__00,V_27n_27))))) = s__02(c_27type_2enum_2enum_27__00,c_27const_2enum_2eSUC_27__01(s__02(c_27type_2enum_2enum_27__00,c_27const_2earithmetic_2e_2b_27__02(s__02(c_27type_2enum_2enum_27__00,V_27m_27),s__02(c_27type_2enum_2enum_27__00,V_27n_27))))) ) ).
fof('thm.arithmetic.ADD_SYM',axiom,
! [V_27m_27,V_27n_27] : s__02(c_27type_2enum_2enum_27__00,c_27const_2earithmetic_2e_2b_27__02(s__02(c_27type_2enum_2enum_27__00,V_27m_27),s__02(c_27type_2enum_2enum_27__00,V_27n_27))) = s__02(c_27type_2enum_2enum_27__00,c_27const_2earithmetic_2e_2b_27__02(s__02(c_27type_2enum_2enum_27__00,V_27n_27),s__02(c_27type_2enum_2enum_27__00,V_27m_27))) ).
fof('thm.arithmetic.ADD_COMM',axiom,
! [V_27m_27,V_27n_27] : s__02(c_27type_2enum_2enum_27__00,c_27const_2earithmetic_2e_2b_27__02(s__02(c_27type_2enum_2enum_27__00,V_27m_27),s__02(c_27type_2enum_2enum_27__00,V_27n_27))) = s__02(c_27type_2enum_2enum_27__00,c_27const_2earithmetic_2e_2b_27__02(s__02(c_27type_2enum_2enum_27__00,V_27n_27),s__02(c_27type_2enum_2enum_27__00,V_27m_27))) ).
fof('thm.arithmetic.ADD_ASSOC',axiom,
! [V_27m_27,V_27n_27,V_27p_27] : s__02(c_27type_2enum_2enum_27__00,c_27const_2earithmetic_2e_2b_27__02(s__02(c_27type_2enum_2enum_27__00,V_27m_27),s__02(c_27type_2enum_2enum_27__00,c_27const_2earithmetic_2e_2b_27__02(s__02(c_27type_2enum_2enum_27__00,V_27n_27),s__02(c_27type_2enum_2enum_27__00,V_27p_27))))) = s__02(c_27type_2enum_2enum_27__00,c_27const_2earithmetic_2e_2b_27__02(s__02(c_27type_2enum_2enum_27__00,c_27const_2earithmetic_2e_2b_27__02(s__02(c_27type_2enum_2enum_27__00,V_27m_27),s__02(c_27type_2enum_2enum_27__00,V_27n_27))),s__02(c_27type_2enum_2enum_27__00,V_27p_27))) ).
fof('thm.arithmetic.LESS_EQ',axiom,
! [V_27m_27,V_27n_27] : s__02(cbool__00,c_27const_2eprim__rec_2e_3c_27__02(s__02(c_27type_2enum_2enum_27__00,V_27m_27),s__02(c_27type_2enum_2enum_27__00,V_27n_27))) = s__02(cbool__00,c_27const_2earithmetic_2e_3c_3d_27__02(s__02(c_27type_2enum_2enum_27__00,c_27const_2enum_2eSUC_27__01(s__02(c_27type_2enum_2enum_27__00,V_27m_27))),s__02(c_27type_2enum_2enum_27__00,V_27n_27))) ).
fof('thm.arithmetic.ZERO_LESS_EQ',axiom,
! [V_27n_27] : p__01(s__02(cbool__00,c_27const_2earithmetic_2e_3c_3d_27__02(s__02(c_27type_2enum_2enum_27__00,c_27const_2enum_2e0_27__00),s__02(c_27type_2enum_2enum_27__00,V_27n_27)))) ).
fof('thm.arithmetic.NOT_LESS',axiom,
! [V_27m_27,V_27n_27] :
( ~ p__01(s__02(cbool__00,c_27const_2eprim__rec_2e_3c_27__02(s__02(c_27type_2enum_2enum_27__00,V_27m_27),s__02(c_27type_2enum_2enum_27__00,V_27n_27))))
<=> p__01(s__02(cbool__00,c_27const_2earithmetic_2e_3c_3d_27__02(s__02(c_27type_2enum_2enum_27__00,V_27n_27),s__02(c_27type_2enum_2enum_27__00,V_27m_27)))) ) ).
fof('thm.arithmetic.MULT_CLAUSES',axiom,
! [V_27m_27,V_27n_27] :
( s__02(c_27type_2enum_2enum_27__00,c_27const_2earithmetic_2e_2a_27__02(s__02(c_27type_2enum_2enum_27__00,c_27const_2enum_2e0_27__00),s__02(c_27type_2enum_2enum_27__00,V_27m_27))) = s__02(c_27type_2enum_2enum_27__00,c_27const_2enum_2e0_27__00)
& s__02(c_27type_2enum_2enum_27__00,c_27const_2earithmetic_2e_2a_27__02(s__02(c_27type_2enum_2enum_27__00,V_27m_27),s__02(c_27type_2enum_2enum_27__00,c_27const_2enum_2e0_27__00))) = s__02(c_27type_2enum_2enum_27__00,c_27const_2enum_2e0_27__00)
& s__02(c_27type_2enum_2enum_27__00,c_27const_2earithmetic_2e_2a_27__02(s__02(c_27type_2enum_2enum_27__00,c_27const_2earithmetic_2eNUMERAL_27__01(s__02(c_27type_2enum_2enum_27__00,c_27const_2earithmetic_2eBIT1_27__01(s__02(c_27type_2enum_2enum_27__00,c_27const_2earithmetic_2eZERO_27__00))))),s__02(c_27type_2enum_2enum_27__00,V_27m_27))) = s__02(c_27type_2enum_2enum_27__00,V_27m_27)
& s__02(c_27type_2enum_2enum_27__00,c_27const_2earithmetic_2e_2a_27__02(s__02(c_27type_2enum_2enum_27__00,V_27m_27),s__02(c_27type_2enum_2enum_27__00,c_27const_2earithmetic_2eNUMERAL_27__01(s__02(c_27type_2enum_2enum_27__00,c_27const_2earithmetic_2eBIT1_27__01(s__02(c_27type_2enum_2enum_27__00,c_27const_2earithmetic_2eZERO_27__00))))))) = s__02(c_27type_2enum_2enum_27__00,V_27m_27)
& s__02(c_27type_2enum_2enum_27__00,c_27const_2earithmetic_2e_2a_27__02(s__02(c_27type_2enum_2enum_27__00,c_27const_2enum_2eSUC_27__01(s__02(c_27type_2enum_2enum_27__00,V_27m_27))),s__02(c_27type_2enum_2enum_27__00,V_27n_27))) = s__02(c_27type_2enum_2enum_27__00,c_27const_2earithmetic_2e_2b_27__02(s__02(c_27type_2enum_2enum_27__00,c_27const_2earithmetic_2e_2a_27__02(s__02(c_27type_2enum_2enum_27__00,V_27m_27),s__02(c_27type_2enum_2enum_27__00,V_27n_27))),s__02(c_27type_2enum_2enum_27__00,V_27n_27)))
& s__02(c_27type_2enum_2enum_27__00,c_27const_2earithmetic_2e_2a_27__02(s__02(c_27type_2enum_2enum_27__00,V_27m_27),s__02(c_27type_2enum_2enum_27__00,c_27const_2enum_2eSUC_27__01(s__02(c_27type_2enum_2enum_27__00,V_27n_27))))) = s__02(c_27type_2enum_2enum_27__00,c_27const_2earithmetic_2e_2b_27__02(s__02(c_27type_2enum_2enum_27__00,V_27m_27),s__02(c_27type_2enum_2enum_27__00,c_27const_2earithmetic_2e_2a_27__02(s__02(c_27type_2enum_2enum_27__00,V_27m_27),s__02(c_27type_2enum_2enum_27__00,V_27n_27))))) ) ).
fof('thm.arithmetic.LESS_EQ_TRANS',axiom,
! [V_27m_27,V_27n_27,V_27p_27] :
( ( p__01(s__02(cbool__00,c_27const_2earithmetic_2e_3c_3d_27__02(s__02(c_27type_2enum_2enum_27__00,V_27m_27),s__02(c_27type_2enum_2enum_27__00,V_27n_27))))
& p__01(s__02(cbool__00,c_27const_2earithmetic_2e_3c_3d_27__02(s__02(c_27type_2enum_2enum_27__00,V_27n_27),s__02(c_27type_2enum_2enum_27__00,V_27p_27)))) )
=> p__01(s__02(cbool__00,c_27const_2earithmetic_2e_3c_3d_27__02(s__02(c_27type_2enum_2enum_27__00,V_27m_27),s__02(c_27type_2enum_2enum_27__00,V_27p_27)))) ) ).
fof('thm.arithmetic.ADD_MONO_LESS_EQ',axiom,
! [V_27m_27,V_27n_27,V_27p_27] : s__02(cbool__00,c_27const_2earithmetic_2e_3c_3d_27__02(s__02(c_27type_2enum_2enum_27__00,c_27const_2earithmetic_2e_2b_27__02(s__02(c_27type_2enum_2enum_27__00,V_27m_27),s__02(c_27type_2enum_2enum_27__00,V_27n_27))),s__02(c_27type_2enum_2enum_27__00,c_27const_2earithmetic_2e_2b_27__02(s__02(c_27type_2enum_2enum_27__00,V_27m_27),s__02(c_27type_2enum_2enum_27__00,V_27p_27))))) = s__02(cbool__00,c_27const_2earithmetic_2e_3c_3d_27__02(s__02(c_27type_2enum_2enum_27__00,V_27n_27),s__02(c_27type_2enum_2enum_27__00,V_27p_27))) ).
fof('thm.arithmetic.SUC_ONE_ADD',axiom,
! [V_27n_27] : s__02(c_27type_2enum_2enum_27__00,c_27const_2enum_2eSUC_27__01(s__02(c_27type_2enum_2enum_27__00,V_27n_27))) = s__02(c_27type_2enum_2enum_27__00,c_27const_2earithmetic_2e_2b_27__02(s__02(c_27type_2enum_2enum_27__00,c_27const_2earithmetic_2eNUMERAL_27__01(s__02(c_27type_2enum_2enum_27__00,c_27const_2earithmetic_2eBIT1_27__01(s__02(c_27type_2enum_2enum_27__00,c_27const_2earithmetic_2eZERO_27__00))))),s__02(c_27type_2enum_2enum_27__00,V_27n_27))) ).
fof('thm.numeral.numeral_distrib',axiom,
( ! [V_27n_27] : s__02(c_27type_2enum_2enum_27__00,c_27const_2earithmetic_2e_2b_27__02(s__02(c_27type_2enum_2enum_27__00,c_27const_2enum_2e0_27__00),s__02(c_27type_2enum_2enum_27__00,V_27n_27))) = s__02(c_27type_2enum_2enum_27__00,V_27n_27)
& ! [V_27n_27] : s__02(c_27type_2enum_2enum_27__00,c_27const_2earithmetic_2e_2b_27__02(s__02(c_27type_2enum_2enum_27__00,V_27n_27),s__02(c_27type_2enum_2enum_27__00,c_27const_2enum_2e0_27__00))) = s__02(c_27type_2enum_2enum_27__00,V_27n_27)
& ! [V_27n_27,V_27m_27] : s__02(c_27type_2enum_2enum_27__00,c_27const_2earithmetic_2e_2b_27__02(s__02(c_27type_2enum_2enum_27__00,c_27const_2earithmetic_2eNUMERAL_27__01(s__02(c_27type_2enum_2enum_27__00,V_27n_27))),s__02(c_27type_2enum_2enum_27__00,c_27const_2earithmetic_2eNUMERAL_27__01(s__02(c_27type_2enum_2enum_27__00,V_27m_27))))) = s__02(c_27type_2enum_2enum_27__00,c_27const_2earithmetic_2eNUMERAL_27__01(s__02(c_27type_2enum_2enum_27__00,c_27const_2enumeral_2eiZ_27__01(s__02(c_27type_2enum_2enum_27__00,c_27const_2earithmetic_2e_2b_27__02(s__02(c_27type_2enum_2enum_27__00,V_27n_27),s__02(c_27type_2enum_2enum_27__00,V_27m_27)))))))
& ! [V_27n_27] : s__02(c_27type_2enum_2enum_27__00,c_27const_2earithmetic_2e_2a_27__02(s__02(c_27type_2enum_2enum_27__00,c_27const_2enum_2e0_27__00),s__02(c_27type_2enum_2enum_27__00,V_27n_27))) = s__02(c_27type_2enum_2enum_27__00,c_27const_2enum_2e0_27__00)
& ! [V_27n_27] : s__02(c_27type_2enum_2enum_27__00,c_27const_2earithmetic_2e_2a_27__02(s__02(c_27type_2enum_2enum_27__00,V_27n_27),s__02(c_27type_2enum_2enum_27__00,c_27const_2enum_2e0_27__00))) = s__02(c_27type_2enum_2enum_27__00,c_27const_2enum_2e0_27__00)
& ! [V_27n_27,V_27m_27] : s__02(c_27type_2enum_2enum_27__00,c_27const_2earithmetic_2e_2a_27__02(s__02(c_27type_2enum_2enum_27__00,c_27const_2earithmetic_2eNUMERAL_27__01(s__02(c_27type_2enum_2enum_27__00,V_27n_27))),s__02(c_27type_2enum_2enum_27__00,c_27const_2earithmetic_2eNUMERAL_27__01(s__02(c_27type_2enum_2enum_27__00,V_27m_27))))) = s__02(c_27type_2enum_2enum_27__00,c_27const_2earithmetic_2eNUMERAL_27__01(s__02(c_27type_2enum_2enum_27__00,c_27const_2earithmetic_2e_2a_27__02(s__02(c_27type_2enum_2enum_27__00,V_27n_27),s__02(c_27type_2enum_2enum_27__00,V_27m_27)))))
& ! [V_27n_27] : s__02(c_27type_2enum_2enum_27__00,c_27const_2earithmetic_2e_2d_27__02(s__02(c_27type_2enum_2enum_27__00,c_27const_2enum_2e0_27__00),s__02(c_27type_2enum_2enum_27__00,V_27n_27))) = s__02(c_27type_2enum_2enum_27__00,c_27const_2enum_2e0_27__00)
& ! [V_27n_27] : s__02(c_27type_2enum_2enum_27__00,c_27const_2earithmetic_2e_2d_27__02(s__02(c_27type_2enum_2enum_27__00,V_27n_27),s__02(c_27type_2enum_2enum_27__00,c_27const_2enum_2e0_27__00))) = s__02(c_27type_2enum_2enum_27__00,V_27n_27)
& ! [V_27n_27,V_27m_27] : s__02(c_27type_2enum_2enum_27__00,c_27const_2earithmetic_2e_2d_27__02(s__02(c_27type_2enum_2enum_27__00,c_27const_2earithmetic_2eNUMERAL_27__01(s__02(c_27type_2enum_2enum_27__00,V_27n_27))),s__02(c_27type_2enum_2enum_27__00,c_27const_2earithmetic_2eNUMERAL_27__01(s__02(c_27type_2enum_2enum_27__00,V_27m_27))))) = s__02(c_27type_2enum_2enum_27__00,c_27const_2earithmetic_2eNUMERAL_27__01(s__02(c_27type_2enum_2enum_27__00,c_27const_2earithmetic_2e_2d_27__02(s__02(c_27type_2enum_2enum_27__00,V_27n_27),s__02(c_27type_2enum_2enum_27__00,V_27m_27)))))
& ! [V_27n_27] : s__02(c_27type_2enum_2enum_27__00,c_27const_2earithmetic_2eEXP_27__02(s__02(c_27type_2enum_2enum_27__00,c_27const_2enum_2e0_27__00),s__02(c_27type_2enum_2enum_27__00,c_27const_2earithmetic_2eNUMERAL_27__01(s__02(c_27type_2enum_2enum_27__00,c_27const_2earithmetic_2eBIT1_27__01(s__02(c_27type_2enum_2enum_27__00,V_27n_27))))))) = s__02(c_27type_2enum_2enum_27__00,c_27const_2enum_2e0_27__00)
& ! [V_27n_27] : s__02(c_27type_2enum_2enum_27__00,c_27const_2earithmetic_2eEXP_27__02(s__02(c_27type_2enum_2enum_27__00,c_27const_2enum_2e0_27__00),s__02(c_27type_2enum_2enum_27__00,c_27const_2earithmetic_2eNUMERAL_27__01(s__02(c_27type_2enum_2enum_27__00,c_27const_2earithmetic_2eBIT2_27__01(s__02(c_27type_2enum_2enum_27__00,V_27n_27))))))) = s__02(c_27type_2enum_2enum_27__00,c_27const_2enum_2e0_27__00)
& ! [V_27n_27] : s__02(c_27type_2enum_2enum_27__00,c_27const_2earithmetic_2eEXP_27__02(s__02(c_27type_2enum_2enum_27__00,V_27n_27),s__02(c_27type_2enum_2enum_27__00,c_27const_2enum_2e0_27__00))) = s__02(c_27type_2enum_2enum_27__00,c_27const_2earithmetic_2eNUMERAL_27__01(s__02(c_27type_2enum_2enum_27__00,c_27const_2earithmetic_2eBIT1_27__01(s__02(c_27type_2enum_2enum_27__00,c_27const_2earithmetic_2eZERO_27__00)))))
& ! [V_27n_27,V_27m_27] : s__02(c_27type_2enum_2enum_27__00,c_27const_2earithmetic_2eEXP_27__02(s__02(c_27type_2enum_2enum_27__00,c_27const_2earithmetic_2eNUMERAL_27__01(s__02(c_27type_2enum_2enum_27__00,V_27n_27))),s__02(c_27type_2enum_2enum_27__00,c_27const_2earithmetic_2eNUMERAL_27__01(s__02(c_27type_2enum_2enum_27__00,V_27m_27))))) = s__02(c_27type_2enum_2enum_27__00,c_27const_2earithmetic_2eNUMERAL_27__01(s__02(c_27type_2enum_2enum_27__00,c_27const_2earithmetic_2eEXP_27__02(s__02(c_27type_2enum_2enum_27__00,V_27n_27),s__02(c_27type_2enum_2enum_27__00,V_27m_27)))))
& s__02(c_27type_2enum_2enum_27__00,c_27const_2enum_2eSUC_27__01(s__02(c_27type_2enum_2enum_27__00,c_27const_2enum_2e0_27__00))) = s__02(c_27type_2enum_2enum_27__00,c_27const_2earithmetic_2eNUMERAL_27__01(s__02(c_27type_2enum_2enum_27__00,c_27const_2earithmetic_2eBIT1_27__01(s__02(c_27type_2enum_2enum_27__00,c_27const_2earithmetic_2eZERO_27__00)))))
& ! [V_27n_27] : s__02(c_27type_2enum_2enum_27__00,c_27const_2enum_2eSUC_27__01(s__02(c_27type_2enum_2enum_27__00,c_27const_2earithmetic_2eNUMERAL_27__01(s__02(c_27type_2enum_2enum_27__00,V_27n_27))))) = s__02(c_27type_2enum_2enum_27__00,c_27const_2earithmetic_2eNUMERAL_27__01(s__02(c_27type_2enum_2enum_27__00,c_27const_2enum_2eSUC_27__01(s__02(c_27type_2enum_2enum_27__00,V_27n_27)))))
& s__02(c_27type_2enum_2enum_27__00,c_27const_2eprim__rec_2ePRE_27__01(s__02(c_27type_2enum_2enum_27__00,c_27const_2enum_2e0_27__00))) = s__02(c_27type_2enum_2enum_27__00,c_27const_2enum_2e0_27__00)
& ! [V_27n_27] : s__02(c_27type_2enum_2enum_27__00,c_27const_2eprim__rec_2ePRE_27__01(s__02(c_27type_2enum_2enum_27__00,c_27const_2earithmetic_2eNUMERAL_27__01(s__02(c_27type_2enum_2enum_27__00,V_27n_27))))) = s__02(c_27type_2enum_2enum_27__00,c_27const_2earithmetic_2eNUMERAL_27__01(s__02(c_27type_2enum_2enum_27__00,c_27const_2eprim__rec_2ePRE_27__01(s__02(c_27type_2enum_2enum_27__00,V_27n_27)))))
& ! [V_27n_27] :
( s__02(c_27type_2enum_2enum_27__00,c_27const_2earithmetic_2eNUMERAL_27__01(s__02(c_27type_2enum_2enum_27__00,V_27n_27))) = s__02(c_27type_2enum_2enum_27__00,c_27const_2enum_2e0_27__00)
<=> s__02(c_27type_2enum_2enum_27__00,V_27n_27) = s__02(c_27type_2enum_2enum_27__00,c_27const_2earithmetic_2eZERO_27__00) )
& ! [V_27n_27] :
( s__02(c_27type_2enum_2enum_27__00,c_27const_2enum_2e0_27__00) = s__02(c_27type_2enum_2enum_27__00,c_27const_2earithmetic_2eNUMERAL_27__01(s__02(c_27type_2enum_2enum_27__00,V_27n_27)))
<=> s__02(c_27type_2enum_2enum_27__00,V_27n_27) = s__02(c_27type_2enum_2enum_27__00,c_27const_2earithmetic_2eZERO_27__00) )
& ! [V_27n_27,V_27m_27] :
( s__02(c_27type_2enum_2enum_27__00,c_27const_2earithmetic_2eNUMERAL_27__01(s__02(c_27type_2enum_2enum_27__00,V_27n_27))) = s__02(c_27type_2enum_2enum_27__00,c_27const_2earithmetic_2eNUMERAL_27__01(s__02(c_27type_2enum_2enum_27__00,V_27m_27)))
<=> s__02(c_27type_2enum_2enum_27__00,V_27n_27) = s__02(c_27type_2enum_2enum_27__00,V_27m_27) )
& ! [V_27n_27] : s__02(cbool__00,c_27const_2eprim__rec_2e_3c_27__02(s__02(c_27type_2enum_2enum_27__00,V_27n_27),s__02(c_27type_2enum_2enum_27__00,c_27const_2enum_2e0_27__00))) = s__02(cbool__00,cF__00)
& ! [V_27n_27] : s__02(cbool__00,c_27const_2eprim__rec_2e_3c_27__02(s__02(c_27type_2enum_2enum_27__00,c_27const_2enum_2e0_27__00),s__02(c_27type_2enum_2enum_27__00,c_27const_2earithmetic_2eNUMERAL_27__01(s__02(c_27type_2enum_2enum_27__00,V_27n_27))))) = s__02(cbool__00,c_27const_2eprim__rec_2e_3c_27__02(s__02(c_27type_2enum_2enum_27__00,c_27const_2earithmetic_2eZERO_27__00),s__02(c_27type_2enum_2enum_27__00,V_27n_27)))
& ! [V_27n_27,V_27m_27] : s__02(cbool__00,c_27const_2eprim__rec_2e_3c_27__02(s__02(c_27type_2enum_2enum_27__00,c_27const_2earithmetic_2eNUMERAL_27__01(s__02(c_27type_2enum_2enum_27__00,V_27n_27))),s__02(c_27type_2enum_2enum_27__00,c_27const_2earithmetic_2eNUMERAL_27__01(s__02(c_27type_2enum_2enum_27__00,V_27m_27))))) = s__02(cbool__00,c_27const_2eprim__rec_2e_3c_27__02(s__02(c_27type_2enum_2enum_27__00,V_27n_27),s__02(c_27type_2enum_2enum_27__00,V_27m_27)))
& ! [V_27n_27] : s__02(cbool__00,c_27const_2earithmetic_2e_3e_27__02(s__02(c_27type_2enum_2enum_27__00,c_27const_2enum_2e0_27__00),s__02(c_27type_2enum_2enum_27__00,V_27n_27))) = s__02(cbool__00,cF__00)
& ! [V_27n_27] : s__02(cbool__00,c_27const_2earithmetic_2e_3e_27__02(s__02(c_27type_2enum_2enum_27__00,c_27const_2earithmetic_2eNUMERAL_27__01(s__02(c_27type_2enum_2enum_27__00,V_27n_27))),s__02(c_27type_2enum_2enum_27__00,c_27const_2enum_2e0_27__00))) = s__02(cbool__00,c_27const_2eprim__rec_2e_3c_27__02(s__02(c_27type_2enum_2enum_27__00,c_27const_2earithmetic_2eZERO_27__00),s__02(c_27type_2enum_2enum_27__00,V_27n_27)))
& ! [V_27n_27,V_27m_27] : s__02(cbool__00,c_27const_2earithmetic_2e_3e_27__02(s__02(c_27type_2enum_2enum_27__00,c_27const_2earithmetic_2eNUMERAL_27__01(s__02(c_27type_2enum_2enum_27__00,V_27n_27))),s__02(c_27type_2enum_2enum_27__00,c_27const_2earithmetic_2eNUMERAL_27__01(s__02(c_27type_2enum_2enum_27__00,V_27m_27))))) = s__02(cbool__00,c_27const_2eprim__rec_2e_3c_27__02(s__02(c_27type_2enum_2enum_27__00,V_27m_27),s__02(c_27type_2enum_2enum_27__00,V_27n_27)))
& ! [V_27n_27] : s__02(cbool__00,c_27const_2earithmetic_2e_3c_3d_27__02(s__02(c_27type_2enum_2enum_27__00,c_27const_2enum_2e0_27__00),s__02(c_27type_2enum_2enum_27__00,V_27n_27))) = s__02(cbool__00,cT__00)
& ! [V_27n_27] : s__02(cbool__00,c_27const_2earithmetic_2e_3c_3d_27__02(s__02(c_27type_2enum_2enum_27__00,c_27const_2earithmetic_2eNUMERAL_27__01(s__02(c_27type_2enum_2enum_27__00,V_27n_27))),s__02(c_27type_2enum_2enum_27__00,c_27const_2enum_2e0_27__00))) = s__02(cbool__00,c_27const_2earithmetic_2e_3c_3d_27__02(s__02(c_27type_2enum_2enum_27__00,V_27n_27),s__02(c_27type_2enum_2enum_27__00,c_27const_2earithmetic_2eZERO_27__00)))
& ! [V_27n_27,V_27m_27] : s__02(cbool__00,c_27const_2earithmetic_2e_3c_3d_27__02(s__02(c_27type_2enum_2enum_27__00,c_27const_2earithmetic_2eNUMERAL_27__01(s__02(c_27type_2enum_2enum_27__00,V_27n_27))),s__02(c_27type_2enum_2enum_27__00,c_27const_2earithmetic_2eNUMERAL_27__01(s__02(c_27type_2enum_2enum_27__00,V_27m_27))))) = s__02(cbool__00,c_27const_2earithmetic_2e_3c_3d_27__02(s__02(c_27type_2enum_2enum_27__00,V_27n_27),s__02(c_27type_2enum_2enum_27__00,V_27m_27)))
& ! [V_27n_27] : s__02(cbool__00,c_27const_2earithmetic_2e_3e_3d_27__02(s__02(c_27type_2enum_2enum_27__00,V_27n_27),s__02(c_27type_2enum_2enum_27__00,c_27const_2enum_2e0_27__00))) = s__02(cbool__00,cT__00)
& ! [V_27n_27] :
( p__01(s__02(cbool__00,c_27const_2earithmetic_2e_3e_3d_27__02(s__02(c_27type_2enum_2enum_27__00,c_27const_2enum_2e0_27__00),s__02(c_27type_2enum_2enum_27__00,V_27n_27))))
<=> s__02(c_27type_2enum_2enum_27__00,V_27n_27) = s__02(c_27type_2enum_2enum_27__00,c_27const_2enum_2e0_27__00) )
& ! [V_27n_27,V_27m_27] : s__02(cbool__00,c_27const_2earithmetic_2e_3e_3d_27__02(s__02(c_27type_2enum_2enum_27__00,c_27const_2earithmetic_2eNUMERAL_27__01(s__02(c_27type_2enum_2enum_27__00,V_27n_27))),s__02(c_27type_2enum_2enum_27__00,c_27const_2earithmetic_2eNUMERAL_27__01(s__02(c_27type_2enum_2enum_27__00,V_27m_27))))) = s__02(cbool__00,c_27const_2earithmetic_2e_3c_3d_27__02(s__02(c_27type_2enum_2enum_27__00,V_27m_27),s__02(c_27type_2enum_2enum_27__00,V_27n_27)))
& ! [V_27n_27] : s__02(cbool__00,c_27const_2earithmetic_2eODD_27__01(s__02(c_27type_2enum_2enum_27__00,c_27const_2earithmetic_2eNUMERAL_27__01(s__02(c_27type_2enum_2enum_27__00,V_27n_27))))) = s__02(cbool__00,c_27const_2earithmetic_2eODD_27__01(s__02(c_27type_2enum_2enum_27__00,V_27n_27)))
& ! [V_27n_27] : s__02(cbool__00,c_27const_2earithmetic_2eEVEN_27__01(s__02(c_27type_2enum_2enum_27__00,c_27const_2earithmetic_2eNUMERAL_27__01(s__02(c_27type_2enum_2enum_27__00,V_27n_27))))) = s__02(cbool__00,c_27const_2earithmetic_2eEVEN_27__01(s__02(c_27type_2enum_2enum_27__00,V_27n_27)))
& ~ p__01(s__02(cbool__00,c_27const_2earithmetic_2eODD_27__01(s__02(c_27type_2enum_2enum_27__00,c_27const_2enum_2e0_27__00))))
& p__01(s__02(cbool__00,c_27const_2earithmetic_2eEVEN_27__01(s__02(c_27type_2enum_2enum_27__00,c_27const_2enum_2e0_27__00)))) ) ).
fof('thm.numeral.numeral_add',axiom,
! [V_27n_27,V_27m_27] :
( s__02(c_27type_2enum_2enum_27__00,c_27const_2enumeral_2eiZ_27__01(s__02(c_27type_2enum_2enum_27__00,c_27const_2earithmetic_2e_2b_27__02(s__02(c_27type_2enum_2enum_27__00,c_27const_2earithmetic_2eZERO_27__00),s__02(c_27type_2enum_2enum_27__00,V_27n_27))))) = s__02(c_27type_2enum_2enum_27__00,V_27n_27)
& s__02(c_27type_2enum_2enum_27__00,c_27const_2enumeral_2eiZ_27__01(s__02(c_27type_2enum_2enum_27__00,c_27const_2earithmetic_2e_2b_27__02(s__02(c_27type_2enum_2enum_27__00,V_27n_27),s__02(c_27type_2enum_2enum_27__00,c_27const_2earithmetic_2eZERO_27__00))))) = s__02(c_27type_2enum_2enum_27__00,V_27n_27)
& s__02(c_27type_2enum_2enum_27__00,c_27const_2enumeral_2eiZ_27__01(s__02(c_27type_2enum_2enum_27__00,c_27const_2earithmetic_2e_2b_27__02(s__02(c_27type_2enum_2enum_27__00,c_27const_2earithmetic_2eBIT1_27__01(s__02(c_27type_2enum_2enum_27__00,V_27n_27))),s__02(c_27type_2enum_2enum_27__00,c_27const_2earithmetic_2eBIT1_27__01(s__02(c_27type_2enum_2enum_27__00,V_27m_27))))))) = s__02(c_27type_2enum_2enum_27__00,c_27const_2earithmetic_2eBIT2_27__01(s__02(c_27type_2enum_2enum_27__00,c_27const_2enumeral_2eiZ_27__01(s__02(c_27type_2enum_2enum_27__00,c_27const_2earithmetic_2e_2b_27__02(s__02(c_27type_2enum_2enum_27__00,V_27n_27),s__02(c_27type_2enum_2enum_27__00,V_27m_27)))))))
& s__02(c_27type_2enum_2enum_27__00,c_27const_2enumeral_2eiZ_27__01(s__02(c_27type_2enum_2enum_27__00,c_27const_2earithmetic_2e_2b_27__02(s__02(c_27type_2enum_2enum_27__00,c_27const_2earithmetic_2eBIT1_27__01(s__02(c_27type_2enum_2enum_27__00,V_27n_27))),s__02(c_27type_2enum_2enum_27__00,c_27const_2earithmetic_2eBIT2_27__01(s__02(c_27type_2enum_2enum_27__00,V_27m_27))))))) = s__02(c_27type_2enum_2enum_27__00,c_27const_2earithmetic_2eBIT1_27__01(s__02(c_27type_2enum_2enum_27__00,c_27const_2enum_2eSUC_27__01(s__02(c_27type_2enum_2enum_27__00,c_27const_2earithmetic_2e_2b_27__02(s__02(c_27type_2enum_2enum_27__00,V_27n_27),s__02(c_27type_2enum_2enum_27__00,V_27m_27)))))))
& s__02(c_27type_2enum_2enum_27__00,c_27const_2enumeral_2eiZ_27__01(s__02(c_27type_2enum_2enum_27__00,c_27const_2earithmetic_2e_2b_27__02(s__02(c_27type_2enum_2enum_27__00,c_27const_2earithmetic_2eBIT2_27__01(s__02(c_27type_2enum_2enum_27__00,V_27n_27))),s__02(c_27type_2enum_2enum_27__00,c_27const_2earithmetic_2eBIT1_27__01(s__02(c_27type_2enum_2enum_27__00,V_27m_27))))))) = s__02(c_27type_2enum_2enum_27__00,c_27const_2earithmetic_2eBIT1_27__01(s__02(c_27type_2enum_2enum_27__00,c_27const_2enum_2eSUC_27__01(s__02(c_27type_2enum_2enum_27__00,c_27const_2earithmetic_2e_2b_27__02(s__02(c_27type_2enum_2enum_27__00,V_27n_27),s__02(c_27type_2enum_2enum_27__00,V_27m_27)))))))
& s__02(c_27type_2enum_2enum_27__00,c_27const_2enumeral_2eiZ_27__01(s__02(c_27type_2enum_2enum_27__00,c_27const_2earithmetic_2e_2b_27__02(s__02(c_27type_2enum_2enum_27__00,c_27const_2earithmetic_2eBIT2_27__01(s__02(c_27type_2enum_2enum_27__00,V_27n_27))),s__02(c_27type_2enum_2enum_27__00,c_27const_2earithmetic_2eBIT2_27__01(s__02(c_27type_2enum_2enum_27__00,V_27m_27))))))) = s__02(c_27type_2enum_2enum_27__00,c_27const_2earithmetic_2eBIT2_27__01(s__02(c_27type_2enum_2enum_27__00,c_27const_2enum_2eSUC_27__01(s__02(c_27type_2enum_2enum_27__00,c_27const_2earithmetic_2e_2b_27__02(s__02(c_27type_2enum_2enum_27__00,V_27n_27),s__02(c_27type_2enum_2enum_27__00,V_27m_27)))))))
& s__02(c_27type_2enum_2enum_27__00,c_27const_2enum_2eSUC_27__01(s__02(c_27type_2enum_2enum_27__00,c_27const_2earithmetic_2e_2b_27__02(s__02(c_27type_2enum_2enum_27__00,c_27const_2earithmetic_2eZERO_27__00),s__02(c_27type_2enum_2enum_27__00,V_27n_27))))) = s__02(c_27type_2enum_2enum_27__00,c_27const_2enum_2eSUC_27__01(s__02(c_27type_2enum_2enum_27__00,V_27n_27)))
& s__02(c_27type_2enum_2enum_27__00,c_27const_2enum_2eSUC_27__01(s__02(c_27type_2enum_2enum_27__00,c_27const_2earithmetic_2e_2b_27__02(s__02(c_27type_2enum_2enum_27__00,V_27n_27),s__02(c_27type_2enum_2enum_27__00,c_27const_2earithmetic_2eZERO_27__00))))) = s__02(c_27type_2enum_2enum_27__00,c_27const_2enum_2eSUC_27__01(s__02(c_27type_2enum_2enum_27__00,V_27n_27)))
& s__02(c_27type_2enum_2enum_27__00,c_27const_2enum_2eSUC_27__01(s__02(c_27type_2enum_2enum_27__00,c_27const_2earithmetic_2e_2b_27__02(s__02(c_27type_2enum_2enum_27__00,c_27const_2earithmetic_2eBIT1_27__01(s__02(c_27type_2enum_2enum_27__00,V_27n_27))),s__02(c_27type_2enum_2enum_27__00,c_27const_2earithmetic_2eBIT1_27__01(s__02(c_27type_2enum_2enum_27__00,V_27m_27))))))) = s__02(c_27type_2enum_2enum_27__00,c_27const_2earithmetic_2eBIT1_27__01(s__02(c_27type_2enum_2enum_27__00,c_27const_2enum_2eSUC_27__01(s__02(c_27type_2enum_2enum_27__00,c_27const_2earithmetic_2e_2b_27__02(s__02(c_27type_2enum_2enum_27__00,V_27n_27),s__02(c_27type_2enum_2enum_27__00,V_27m_27)))))))
& s__02(c_27type_2enum_2enum_27__00,c_27const_2enum_2eSUC_27__01(s__02(c_27type_2enum_2enum_27__00,c_27const_2earithmetic_2e_2b_27__02(s__02(c_27type_2enum_2enum_27__00,c_27const_2earithmetic_2eBIT1_27__01(s__02(c_27type_2enum_2enum_27__00,V_27n_27))),s__02(c_27type_2enum_2enum_27__00,c_27const_2earithmetic_2eBIT2_27__01(s__02(c_27type_2enum_2enum_27__00,V_27m_27))))))) = s__02(c_27type_2enum_2enum_27__00,c_27const_2earithmetic_2eBIT2_27__01(s__02(c_27type_2enum_2enum_27__00,c_27const_2enum_2eSUC_27__01(s__02(c_27type_2enum_2enum_27__00,c_27const_2earithmetic_2e_2b_27__02(s__02(c_27type_2enum_2enum_27__00,V_27n_27),s__02(c_27type_2enum_2enum_27__00,V_27m_27)))))))
& s__02(c_27type_2enum_2enum_27__00,c_27const_2enum_2eSUC_27__01(s__02(c_27type_2enum_2enum_27__00,c_27const_2earithmetic_2e_2b_27__02(s__02(c_27type_2enum_2enum_27__00,c_27const_2earithmetic_2eBIT2_27__01(s__02(c_27type_2enum_2enum_27__00,V_27n_27))),s__02(c_27type_2enum_2enum_27__00,c_27const_2earithmetic_2eBIT1_27__01(s__02(c_27type_2enum_2enum_27__00,V_27m_27))))))) = s__02(c_27type_2enum_2enum_27__00,c_27const_2earithmetic_2eBIT2_27__01(s__02(c_27type_2enum_2enum_27__00,c_27const_2enum_2eSUC_27__01(s__02(c_27type_2enum_2enum_27__00,c_27const_2earithmetic_2e_2b_27__02(s__02(c_27type_2enum_2enum_27__00,V_27n_27),s__02(c_27type_2enum_2enum_27__00,V_27m_27)))))))
& s__02(c_27type_2enum_2enum_27__00,c_27const_2enum_2eSUC_27__01(s__02(c_27type_2enum_2enum_27__00,c_27const_2earithmetic_2e_2b_27__02(s__02(c_27type_2enum_2enum_27__00,c_27const_2earithmetic_2eBIT2_27__01(s__02(c_27type_2enum_2enum_27__00,V_27n_27))),s__02(c_27type_2enum_2enum_27__00,c_27const_2earithmetic_2eBIT2_27__01(s__02(c_27type_2enum_2enum_27__00,V_27m_27))))))) = s__02(c_27type_2enum_2enum_27__00,c_27const_2earithmetic_2eBIT1_27__01(s__02(c_27type_2enum_2enum_27__00,c_27const_2enumeral_2eiiSUC_27__01(s__02(c_27type_2enum_2enum_27__00,c_27const_2earithmetic_2e_2b_27__02(s__02(c_27type_2enum_2enum_27__00,V_27n_27),s__02(c_27type_2enum_2enum_27__00,V_27m_27)))))))
& s__02(c_27type_2enum_2enum_27__00,c_27const_2enumeral_2eiiSUC_27__01(s__02(c_27type_2enum_2enum_27__00,c_27const_2earithmetic_2e_2b_27__02(s__02(c_27type_2enum_2enum_27__00,c_27const_2earithmetic_2eZERO_27__00),s__02(c_27type_2enum_2enum_27__00,V_27n_27))))) = s__02(c_27type_2enum_2enum_27__00,c_27const_2enumeral_2eiiSUC_27__01(s__02(c_27type_2enum_2enum_27__00,V_27n_27)))
& s__02(c_27type_2enum_2enum_27__00,c_27const_2enumeral_2eiiSUC_27__01(s__02(c_27type_2enum_2enum_27__00,c_27const_2earithmetic_2e_2b_27__02(s__02(c_27type_2enum_2enum_27__00,V_27n_27),s__02(c_27type_2enum_2enum_27__00,c_27const_2earithmetic_2eZERO_27__00))))) = s__02(c_27type_2enum_2enum_27__00,c_27const_2enumeral_2eiiSUC_27__01(s__02(c_27type_2enum_2enum_27__00,V_27n_27)))
& s__02(c_27type_2enum_2enum_27__00,c_27const_2enumeral_2eiiSUC_27__01(s__02(c_27type_2enum_2enum_27__00,c_27const_2earithmetic_2e_2b_27__02(s__02(c_27type_2enum_2enum_27__00,c_27const_2earithmetic_2eBIT1_27__01(s__02(c_27type_2enum_2enum_27__00,V_27n_27))),s__02(c_27type_2enum_2enum_27__00,c_27const_2earithmetic_2eBIT1_27__01(s__02(c_27type_2enum_2enum_27__00,V_27m_27))))))) = s__02(c_27type_2enum_2enum_27__00,c_27const_2earithmetic_2eBIT2_27__01(s__02(c_27type_2enum_2enum_27__00,c_27const_2enum_2eSUC_27__01(s__02(c_27type_2enum_2enum_27__00,c_27const_2earithmetic_2e_2b_27__02(s__02(c_27type_2enum_2enum_27__00,V_27n_27),s__02(c_27type_2enum_2enum_27__00,V_27m_27)))))))
& s__02(c_27type_2enum_2enum_27__00,c_27const_2enumeral_2eiiSUC_27__01(s__02(c_27type_2enum_2enum_27__00,c_27const_2earithmetic_2e_2b_27__02(s__02(c_27type_2enum_2enum_27__00,c_27const_2earithmetic_2eBIT1_27__01(s__02(c_27type_2enum_2enum_27__00,V_27n_27))),s__02(c_27type_2enum_2enum_27__00,c_27const_2earithmetic_2eBIT2_27__01(s__02(c_27type_2enum_2enum_27__00,V_27m_27))))))) = s__02(c_27type_2enum_2enum_27__00,c_27const_2earithmetic_2eBIT1_27__01(s__02(c_27type_2enum_2enum_27__00,c_27const_2enumeral_2eiiSUC_27__01(s__02(c_27type_2enum_2enum_27__00,c_27const_2earithmetic_2e_2b_27__02(s__02(c_27type_2enum_2enum_27__00,V_27n_27),s__02(c_27type_2enum_2enum_27__00,V_27m_27)))))))
& s__02(c_27type_2enum_2enum_27__00,c_27const_2enumeral_2eiiSUC_27__01(s__02(c_27type_2enum_2enum_27__00,c_27const_2earithmetic_2e_2b_27__02(s__02(c_27type_2enum_2enum_27__00,c_27const_2earithmetic_2eBIT2_27__01(s__02(c_27type_2enum_2enum_27__00,V_27n_27))),s__02(c_27type_2enum_2enum_27__00,c_27const_2earithmetic_2eBIT1_27__01(s__02(c_27type_2enum_2enum_27__00,V_27m_27))))))) = s__02(c_27type_2enum_2enum_27__00,c_27const_2earithmetic_2eBIT1_27__01(s__02(c_27type_2enum_2enum_27__00,c_27const_2enumeral_2eiiSUC_27__01(s__02(c_27type_2enum_2enum_27__00,c_27const_2earithmetic_2e_2b_27__02(s__02(c_27type_2enum_2enum_27__00,V_27n_27),s__02(c_27type_2enum_2enum_27__00,V_27m_27)))))))
& s__02(c_27type_2enum_2enum_27__00,c_27const_2enumeral_2eiiSUC_27__01(s__02(c_27type_2enum_2enum_27__00,c_27const_2earithmetic_2e_2b_27__02(s__02(c_27type_2enum_2enum_27__00,c_27const_2earithmetic_2eBIT2_27__01(s__02(c_27type_2enum_2enum_27__00,V_27n_27))),s__02(c_27type_2enum_2enum_27__00,c_27const_2earithmetic_2eBIT2_27__01(s__02(c_27type_2enum_2enum_27__00,V_27m_27))))))) = s__02(c_27type_2enum_2enum_27__00,c_27const_2earithmetic_2eBIT2_27__01(s__02(c_27type_2enum_2enum_27__00,c_27const_2enumeral_2eiiSUC_27__01(s__02(c_27type_2enum_2enum_27__00,c_27const_2earithmetic_2e_2b_27__02(s__02(c_27type_2enum_2enum_27__00,V_27n_27),s__02(c_27type_2enum_2enum_27__00,V_27m_27))))))) ) ).
fof('thm.numeral.numeral_lte',axiom,
! [V_27n_27,V_27m_27] :
( s__02(cbool__00,c_27const_2earithmetic_2e_3c_3d_27__02(s__02(c_27type_2enum_2enum_27__00,c_27const_2earithmetic_2eZERO_27__00),s__02(c_27type_2enum_2enum_27__00,V_27n_27))) = s__02(cbool__00,cT__00)
& s__02(cbool__00,c_27const_2earithmetic_2e_3c_3d_27__02(s__02(c_27type_2enum_2enum_27__00,c_27const_2earithmetic_2eBIT1_27__01(s__02(c_27type_2enum_2enum_27__00,V_27n_27))),s__02(c_27type_2enum_2enum_27__00,c_27const_2earithmetic_2eZERO_27__00))) = s__02(cbool__00,cF__00)
& s__02(cbool__00,c_27const_2earithmetic_2e_3c_3d_27__02(s__02(c_27type_2enum_2enum_27__00,c_27const_2earithmetic_2eBIT2_27__01(s__02(c_27type_2enum_2enum_27__00,V_27n_27))),s__02(c_27type_2enum_2enum_27__00,c_27const_2earithmetic_2eZERO_27__00))) = s__02(cbool__00,cF__00)
& s__02(cbool__00,c_27const_2earithmetic_2e_3c_3d_27__02(s__02(c_27type_2enum_2enum_27__00,c_27const_2earithmetic_2eBIT1_27__01(s__02(c_27type_2enum_2enum_27__00,V_27n_27))),s__02(c_27type_2enum_2enum_27__00,c_27const_2earithmetic_2eBIT1_27__01(s__02(c_27type_2enum_2enum_27__00,V_27m_27))))) = s__02(cbool__00,c_27const_2earithmetic_2e_3c_3d_27__02(s__02(c_27type_2enum_2enum_27__00,V_27n_27),s__02(c_27type_2enum_2enum_27__00,V_27m_27)))
& s__02(cbool__00,c_27const_2earithmetic_2e_3c_3d_27__02(s__02(c_27type_2enum_2enum_27__00,c_27const_2earithmetic_2eBIT1_27__01(s__02(c_27type_2enum_2enum_27__00,V_27n_27))),s__02(c_27type_2enum_2enum_27__00,c_27const_2earithmetic_2eBIT2_27__01(s__02(c_27type_2enum_2enum_27__00,V_27m_27))))) = s__02(cbool__00,c_27const_2earithmetic_2e_3c_3d_27__02(s__02(c_27type_2enum_2enum_27__00,V_27n_27),s__02(c_27type_2enum_2enum_27__00,V_27m_27)))
& ( p__01(s__02(cbool__00,c_27const_2earithmetic_2e_3c_3d_27__02(s__02(c_27type_2enum_2enum_27__00,c_27const_2earithmetic_2eBIT2_27__01(s__02(c_27type_2enum_2enum_27__00,V_27n_27))),s__02(c_27type_2enum_2enum_27__00,c_27const_2earithmetic_2eBIT1_27__01(s__02(c_27type_2enum_2enum_27__00,V_27m_27))))))
<=> ~ p__01(s__02(cbool__00,c_27const_2earithmetic_2e_3c_3d_27__02(s__02(c_27type_2enum_2enum_27__00,V_27m_27),s__02(c_27type_2enum_2enum_27__00,V_27n_27)))) )
& s__02(cbool__00,c_27const_2earithmetic_2e_3c_3d_27__02(s__02(c_27type_2enum_2enum_27__00,c_27const_2earithmetic_2eBIT2_27__01(s__02(c_27type_2enum_2enum_27__00,V_27n_27))),s__02(c_27type_2enum_2enum_27__00,c_27const_2earithmetic_2eBIT2_27__01(s__02(c_27type_2enum_2enum_27__00,V_27m_27))))) = s__02(cbool__00,c_27const_2earithmetic_2e_3c_3d_27__02(s__02(c_27type_2enum_2enum_27__00,V_27n_27),s__02(c_27type_2enum_2enum_27__00,V_27m_27))) ) ).
fof('thm.list.list_induction',axiom,
! [V_27A_27,V_27P_27] :
( ( p__01(s__02(cbool__00,chapp__02(s__02(cfun__02(c_27type_2elist_2elist_27__01(V_27A_27),cbool__00),V_27P_27),s__02(c_27type_2elist_2elist_27__01(V_27A_27),c_27const_2elist_2eNIL_27__00))))
& ! [V_27t_27] :
( p__01(s__02(cbool__00,chapp__02(s__02(cfun__02(c_27type_2elist_2elist_27__01(V_27A_27),cbool__00),V_27P_27),s__02(c_27type_2elist_2elist_27__01(V_27A_27),V_27t_27))))
=> ! [V_27h_27] : p__01(s__02(cbool__00,chapp__02(s__02(cfun__02(c_27type_2elist_2elist_27__01(V_27A_27),cbool__00),V_27P_27),s__02(c_27type_2elist_2elist_27__01(V_27A_27),c_27const_2elist_2eCONS_27__02(s__02(V_27A_27,V_27h_27),s__02(c_27type_2elist_2elist_27__01(V_27A_27),V_27t_27)))))) ) )
=> ! [V_27l_27] : p__01(s__02(cbool__00,chapp__02(s__02(cfun__02(c_27type_2elist_2elist_27__01(V_27A_27),cbool__00),V_27P_27),s__02(c_27type_2elist_2elist_27__01(V_27A_27),V_27l_27)))) ) ).
fof('thm.list.MEM',axiom,
! [V_27A_27] :
( ! [V_27x_27] : s__02(cbool__00,c_27const_2ebool_2eIN_27__02(s__02(V_27A_27,V_27x_27),s__02(cfun__02(V_27A_27,cbool__00),c_27const_2elist_2eLIST__TO__SET_27__01(s__02(c_27type_2elist_2elist_27__01(V_27A_27),c_27const_2elist_2eNIL_27__00))))) = s__02(cbool__00,cF__00)
& ! [V_27x_27,V_27h_27,V_27t_27] :
( p__01(s__02(cbool__00,c_27const_2ebool_2eIN_27__02(s__02(V_27A_27,V_27x_27),s__02(cfun__02(V_27A_27,cbool__00),c_27const_2elist_2eLIST__TO__SET_27__01(s__02(c_27type_2elist_2elist_27__01(V_27A_27),c_27const_2elist_2eCONS_27__02(s__02(V_27A_27,V_27h_27),s__02(c_27type_2elist_2elist_27__01(V_27A_27),V_27t_27))))))))
<=> ( s__02(V_27A_27,V_27x_27) = s__02(V_27A_27,V_27h_27)
| p__01(s__02(cbool__00,c_27const_2ebool_2eIN_27__02(s__02(V_27A_27,V_27x_27),s__02(cfun__02(V_27A_27,cbool__00),c_27const_2elist_2eLIST__TO__SET_27__01(s__02(c_27type_2elist_2elist_27__01(V_27A_27),V_27t_27)))))) ) ) ) ).
fof('thm.presLang.exp_size_def',axiom,
! [V__0] :
( ! [V_27x_27] : s__02(c_27type_2enum_2enum_27__00,chapp__02(s__02(cfun__02(c_27type_2enum_2enum_27__00,c_27type_2enum_2enum_27__00),V__0),s__02(c_27type_2enum_2enum_27__00,V_27x_27))) = s__02(c_27type_2enum_2enum_27__00,V_27x_27)
=> ( ! [V_27a_27] : s__02(c_27type_2enum_2enum_27__00,c_27const_2epresLang_2eexp__size_27__01(s__02(c_27type_2epresLang_2eexp_27__00,c_27const_2epresLang_2eProg_27__01(s__02(c_27type_2elist_2elist_27__01(c_27type_2epresLang_2eexp_27__00),V_27a_27))))) = s__02(c_27type_2enum_2enum_27__00,c_27const_2earithmetic_2e_2b_27__02(s__02(c_27type_2enum_2enum_27__00,c_27const_2earithmetic_2eNUMERAL_27__01(s__02(c_27type_2enum_2enum_27__00,c_27const_2earithmetic_2eBIT1_27__01(s__02(c_27type_2enum_2enum_27__00,c_27const_2earithmetic_2eZERO_27__00))))),s__02(c_27type_2enum_2enum_27__00,c_27const_2epresLang_2eexp12__size_27__01(s__02(c_27type_2elist_2elist_27__01(c_27type_2epresLang_2eexp_27__00),V_27a_27)))))
& ! [V_27a0_27,V_27a1_27] : s__02(c_27type_2enum_2enum_27__00,c_27const_2epresLang_2eexp__size_27__01(s__02(c_27type_2epresLang_2eexp_27__00,c_27const_2epresLang_2ePrompt_27__02(s__02(c_27type_2eoption_2eoption_27__01(c_27type_2elist_2elist_27__01(c_27type_2estring_2echar_27__00)),V_27a0_27),s__02(c_27type_2elist_2elist_27__01(c_27type_2epresLang_2eexp_27__00),V_27a1_27))))) = s__02(c_27type_2enum_2enum_27__00,c_27const_2earithmetic_2e_2b_27__02(s__02(c_27type_2enum_2enum_27__00,c_27const_2earithmetic_2eNUMERAL_27__01(s__02(c_27type_2enum_2enum_27__00,c_27const_2earithmetic_2eBIT1_27__01(s__02(c_27type_2enum_2enum_27__00,c_27const_2earithmetic_2eZERO_27__00))))),s__02(c_27type_2enum_2enum_27__00,c_27const_2earithmetic_2e_2b_27__02(s__02(c_27type_2enum_2enum_27__00,c_27const_2ebasicSize_2eoption__size_27__02(s__02(cfun__02(c_27type_2elist_2elist_27__01(c_27type_2estring_2echar_27__00),c_27type_2enum_2enum_27__00),c_27const_2elist_2elist__size_27__01(s__02(cfun__02(c_27type_2estring_2echar_27__00,c_27type_2enum_2enum_27__00),c_27const_2estring_2echar__size_27__00))),s__02(c_27type_2eoption_2eoption_27__01(c_27type_2elist_2elist_27__01(c_27type_2estring_2echar_27__00)),V_27a0_27))),s__02(c_27type_2enum_2enum_27__00,c_27const_2epresLang_2eexp12__size_27__01(s__02(c_27type_2elist_2elist_27__01(c_27type_2epresLang_2eexp_27__00),V_27a1_27)))))))
& ! [V_27a_27] : s__02(c_27type_2enum_2enum_27__00,c_27const_2epresLang_2eexp__size_27__01(s__02(c_27type_2epresLang_2eexp_27__00,c_27const_2epresLang_2eCodeTable_27__01(s__02(c_27type_2elist_2elist_27__01(c_27type_2epair_2eprod_27__02(c_27type_2enum_2enum_27__00,c_27type_2epair_2eprod_27__02(c_27type_2elist_2elist_27__01(c_27type_2elist_2elist_27__01(c_27type_2estring_2echar_27__00)),c_27type_2epresLang_2eexp_27__00))),V_27a_27))))) = s__02(c_27type_2enum_2enum_27__00,c_27const_2earithmetic_2e_2b_27__02(s__02(c_27type_2enum_2enum_27__00,c_27const_2earithmetic_2eNUMERAL_27__01(s__02(c_27type_2enum_2enum_27__00,c_27const_2earithmetic_2eBIT1_27__01(s__02(c_27type_2enum_2enum_27__00,c_27const_2earithmetic_2eZERO_27__00))))),s__02(c_27type_2enum_2enum_27__00,c_27const_2epresLang_2eexp4__size_27__01(s__02(c_27type_2elist_2elist_27__01(c_27type_2epair_2eprod_27__02(c_27type_2enum_2enum_27__00,c_27type_2epair_2eprod_27__02(c_27type_2elist_2elist_27__01(c_27type_2elist_2elist_27__01(c_27type_2estring_2echar_27__00)),c_27type_2epresLang_2eexp_27__00))),V_27a_27)))))
& ! [V_27a0_27,V_27a1_27] : s__02(c_27type_2enum_2enum_27__00,c_27const_2epresLang_2eexp__size_27__01(s__02(c_27type_2epresLang_2eexp_27__00,c_27const_2epresLang_2eDlet_27__02(s__02(c_27type_2enum_2enum_27__00,V_27a0_27),s__02(c_27type_2epresLang_2eexp_27__00,V_27a1_27))))) = s__02(c_27type_2enum_2enum_27__00,c_27const_2earithmetic_2e_2b_27__02(s__02(c_27type_2enum_2enum_27__00,c_27const_2earithmetic_2eNUMERAL_27__01(s__02(c_27type_2enum_2enum_27__00,c_27const_2earithmetic_2eBIT1_27__01(s__02(c_27type_2enum_2enum_27__00,c_27const_2earithmetic_2eZERO_27__00))))),s__02(c_27type_2enum_2enum_27__00,c_27const_2earithmetic_2e_2b_27__02(s__02(c_27type_2enum_2enum_27__00,V_27a0_27),s__02(c_27type_2enum_2enum_27__00,c_27const_2epresLang_2eexp__size_27__01(s__02(c_27type_2epresLang_2eexp_27__00,V_27a1_27)))))))
& ! [V_27a_27] : s__02(c_27type_2enum_2enum_27__00,c_27const_2epresLang_2eexp__size_27__01(s__02(c_27type_2epresLang_2eexp_27__00,c_27const_2epresLang_2eDletrec_27__01(s__02(c_27type_2elist_2elist_27__01(c_27type_2epair_2eprod_27__02(c_27type_2elist_2elist_27__01(c_27type_2estring_2echar_27__00),c_27type_2epair_2eprod_27__02(c_27type_2elist_2elist_27__01(c_27type_2estring_2echar_27__00),c_27type_2epresLang_2eexp_27__00))),V_27a_27))))) = s__02(c_27type_2enum_2enum_27__00,c_27const_2earithmetic_2e_2b_27__02(s__02(c_27type_2enum_2enum_27__00,c_27const_2earithmetic_2eNUMERAL_27__01(s__02(c_27type_2enum_2enum_27__00,c_27const_2earithmetic_2eBIT1_27__01(s__02(c_27type_2enum_2enum_27__00,c_27const_2earithmetic_2eZERO_27__00))))),s__02(c_27type_2enum_2enum_27__00,c_27const_2epresLang_2eexp3__size_27__01(s__02(c_27type_2elist_2elist_27__01(c_27type_2epair_2eprod_27__02(c_27type_2elist_2elist_27__01(c_27type_2estring_2echar_27__00),c_27type_2epair_2eprod_27__02(c_27type_2elist_2elist_27__01(c_27type_2estring_2echar_27__00),c_27type_2epresLang_2eexp_27__00))),V_27a_27)))))
& ! [V_27a_27] : s__02(c_27type_2enum_2enum_27__00,c_27const_2epresLang_2eexp__size_27__01(s__02(c_27type_2epresLang_2eexp_27__00,c_27const_2epresLang_2eDtype_27__01(s__02(c_27type_2elist_2elist_27__01(c_27type_2elist_2elist_27__01(c_27type_2estring_2echar_27__00)),V_27a_27))))) = s__02(c_27type_2enum_2enum_27__00,c_27const_2earithmetic_2e_2b_27__02(s__02(c_27type_2enum_2enum_27__00,c_27const_2earithmetic_2eNUMERAL_27__01(s__02(c_27type_2enum_2enum_27__00,c_27const_2earithmetic_2eBIT1_27__01(s__02(c_27type_2enum_2enum_27__00,c_27const_2earithmetic_2eZERO_27__00))))),s__02(c_27type_2enum_2enum_27__00,chapp__02(s__02(cfun__02(c_27type_2elist_2elist_27__01(c_27type_2elist_2elist_27__01(c_27type_2estring_2echar_27__00)),c_27type_2enum_2enum_27__00),c_27const_2elist_2elist__size_27__01(s__02(cfun__02(c_27type_2elist_2elist_27__01(c_27type_2estring_2echar_27__00),c_27type_2enum_2enum_27__00),c_27const_2elist_2elist__size_27__01(s__02(cfun__02(c_27type_2estring_2echar_27__00,c_27type_2enum_2enum_27__00),c_27const_2estring_2echar__size_27__00))))),s__02(c_27type_2elist_2elist_27__01(c_27type_2elist_2elist_27__01(c_27type_2estring_2echar_27__00)),V_27a_27)))))
& ! [V_27a0_27,V_27a1_27,V_27a2_27] : s__02(c_27type_2enum_2enum_27__00,c_27const_2epresLang_2eexp__size_27__01(s__02(c_27type_2epresLang_2eexp_27__00,c_27const_2epresLang_2eDexn_27__03(s__02(c_27type_2elist_2elist_27__01(c_27type_2elist_2elist_27__01(c_27type_2estring_2echar_27__00)),V_27a0_27),s__02(c_27type_2elist_2elist_27__01(c_27type_2estring_2echar_27__00),V_27a1_27),s__02(c_27type_2elist_2elist_27__01(c_27type_2east_2et_27__00),V_27a2_27))))) = s__02(c_27type_2enum_2enum_27__00,c_27const_2earithmetic_2e_2b_27__02(s__02(c_27type_2enum_2enum_27__00,c_27const_2earithmetic_2eNUMERAL_27__01(s__02(c_27type_2enum_2enum_27__00,c_27const_2earithmetic_2eBIT1_27__01(s__02(c_27type_2enum_2enum_27__00,c_27const_2earithmetic_2eZERO_27__00))))),s__02(c_27type_2enum_2enum_27__00,c_27const_2earithmetic_2e_2b_27__02(s__02(c_27type_2enum_2enum_27__00,chapp__02(s__02(cfun__02(c_27type_2elist_2elist_27__01(c_27type_2elist_2elist_27__01(c_27type_2estring_2echar_27__00)),c_27type_2enum_2enum_27__00),c_27const_2elist_2elist__size_27__01(s__02(cfun__02(c_27type_2elist_2elist_27__01(c_27type_2estring_2echar_27__00),c_27type_2enum_2enum_27__00),c_27const_2elist_2elist__size_27__01(s__02(cfun__02(c_27type_2estring_2echar_27__00,c_27type_2enum_2enum_27__00),c_27const_2estring_2echar__size_27__00))))),s__02(c_27type_2elist_2elist_27__01(c_27type_2elist_2elist_27__01(c_27type_2estring_2echar_27__00)),V_27a0_27))),s__02(c_27type_2enum_2enum_27__00,c_27const_2earithmetic_2e_2b_27__02(s__02(c_27type_2enum_2enum_27__00,chapp__02(s__02(cfun__02(c_27type_2elist_2elist_27__01(c_27type_2estring_2echar_27__00),c_27type_2enum_2enum_27__00),c_27const_2elist_2elist__size_27__01(s__02(cfun__02(c_27type_2estring_2echar_27__00,c_27type_2enum_2enum_27__00),c_27const_2estring_2echar__size_27__00))),s__02(c_27type_2elist_2elist_27__01(c_27type_2estring_2echar_27__00),V_27a1_27))),s__02(c_27type_2enum_2enum_27__00,chapp__02(s__02(cfun__02(c_27type_2elist_2elist_27__01(c_27type_2east_2et_27__00),c_27type_2enum_2enum_27__00),c_27const_2elist_2elist__size_27__01(s__02(cfun__02(c_27type_2east_2et_27__00,c_27type_2enum_2enum_27__00),c_27const_2east_2et__size_27__00))),s__02(c_27type_2elist_2elist_27__01(c_27type_2east_2et_27__00),V_27a2_27)))))))))
& s__02(c_27type_2enum_2enum_27__00,c_27const_2epresLang_2eexp__size_27__01(s__02(c_27type_2epresLang_2eexp_27__00,c_27const_2epresLang_2ePany_27__00))) = s__02(c_27type_2enum_2enum_27__00,c_27const_2enum_2e0_27__00)
& ! [V_27a_27] : s__02(c_27type_2enum_2enum_27__00,c_27const_2epresLang_2eexp__size_27__01(s__02(c_27type_2epresLang_2eexp_27__00,c_27const_2epresLang_2ePvar_27__01(s__02(c_27type_2elist_2elist_27__01(c_27type_2estring_2echar_27__00),V_27a_27))))) = s__02(c_27type_2enum_2enum_27__00,c_27const_2earithmetic_2e_2b_27__02(s__02(c_27type_2enum_2enum_27__00,c_27const_2earithmetic_2eNUMERAL_27__01(s__02(c_27type_2enum_2enum_27__00,c_27const_2earithmetic_2eBIT1_27__01(s__02(c_27type_2enum_2enum_27__00,c_27const_2earithmetic_2eZERO_27__00))))),s__02(c_27type_2enum_2enum_27__00,chapp__02(s__02(cfun__02(c_27type_2elist_2elist_27__01(c_27type_2estring_2echar_27__00),c_27type_2enum_2enum_27__00),c_27const_2elist_2elist__size_27__01(s__02(cfun__02(c_27type_2estring_2echar_27__00,c_27type_2enum_2enum_27__00),c_27const_2estring_2echar__size_27__00))),s__02(c_27type_2elist_2elist_27__01(c_27type_2estring_2echar_27__00),V_27a_27)))))
& ! [V_27a_27] : s__02(c_27type_2enum_2enum_27__00,c_27const_2epresLang_2eexp__size_27__01(s__02(c_27type_2epresLang_2eexp_27__00,c_27const_2epresLang_2ePlit_27__01(s__02(c_27type_2east_2elit_27__00,V_27a_27))))) = s__02(c_27type_2enum_2enum_27__00,c_27const_2earithmetic_2e_2b_27__02(s__02(c_27type_2enum_2enum_27__00,c_27const_2earithmetic_2eNUMERAL_27__01(s__02(c_27type_2enum_2enum_27__00,c_27const_2earithmetic_2eBIT1_27__01(s__02(c_27type_2enum_2enum_27__00,c_27const_2earithmetic_2eZERO_27__00))))),s__02(c_27type_2enum_2enum_27__00,c_27const_2east_2elit__size_27__01(s__02(c_27type_2east_2elit_27__00,V_27a_27)))))
& ! [V_27a0_27,V_27a1_27] : s__02(c_27type_2enum_2enum_27__00,c_27const_2epresLang_2eexp__size_27__01(s__02(c_27type_2epresLang_2eexp_27__00,c_27const_2epresLang_2ePcon_27__02(s__02(c_27type_2epresLang_2econF_27__00,V_27a0_27),s__02(c_27type_2elist_2elist_27__01(c_27type_2epresLang_2eexp_27__00),V_27a1_27))))) = s__02(c_27type_2enum_2enum_27__00,c_27const_2earithmetic_2e_2b_27__02(s__02(c_27type_2enum_2enum_27__00,c_27const_2earithmetic_2eNUMERAL_27__01(s__02(c_27type_2enum_2enum_27__00,c_27const_2earithmetic_2eBIT1_27__01(s__02(c_27type_2enum_2enum_27__00,c_27const_2earithmetic_2eZERO_27__00))))),s__02(c_27type_2enum_2enum_27__00,c_27const_2earithmetic_2e_2b_27__02(s__02(c_27type_2enum_2enum_27__00,c_27const_2epresLang_2econF__size_27__01(s__02(c_27type_2epresLang_2econF_27__00,V_27a0_27))),s__02(c_27type_2enum_2enum_27__00,c_27const_2epresLang_2eexp12__size_27__01(s__02(c_27type_2elist_2elist_27__01(c_27type_2epresLang_2eexp_27__00),V_27a1_27)))))))
& ! [V_27a_27] : s__02(c_27type_2enum_2enum_27__00,c_27const_2epresLang_2eexp__size_27__01(s__02(c_27type_2epresLang_2eexp_27__00,c_27const_2epresLang_2ePref_27__01(s__02(c_27type_2epresLang_2eexp_27__00,V_27a_27))))) = s__02(c_27type_2enum_2enum_27__00,c_27const_2earithmetic_2e_2b_27__02(s__02(c_27type_2enum_2enum_27__00,c_27const_2earithmetic_2eNUMERAL_27__01(s__02(c_27type_2enum_2enum_27__00,c_27const_2earithmetic_2eBIT1_27__01(s__02(c_27type_2enum_2enum_27__00,c_27const_2earithmetic_2eZERO_27__00))))),s__02(c_27type_2enum_2enum_27__00,c_27const_2epresLang_2eexp__size_27__01(s__02(c_27type_2epresLang_2eexp_27__00,V_27a_27)))))
& ! [V_27a0_27,V_27a1_27] : s__02(c_27type_2enum_2enum_27__00,c_27const_2epresLang_2eexp__size_27__01(s__02(c_27type_2epresLang_2eexp_27__00,c_27const_2epresLang_2ePtannot_27__02(s__02(c_27type_2epresLang_2eexp_27__00,V_27a0_27),s__02(c_27type_2east_2et_27__00,V_27a1_27))))) = s__02(c_27type_2enum_2enum_27__00,c_27const_2earithmetic_2e_2b_27__02(s__02(c_27type_2enum_2enum_27__00,c_27const_2earithmetic_2eNUMERAL_27__01(s__02(c_27type_2enum_2enum_27__00,c_27const_2earithmetic_2eBIT1_27__01(s__02(c_27type_2enum_2enum_27__00,c_27const_2earithmetic_2eZERO_27__00))))),s__02(c_27type_2enum_2enum_27__00,c_27const_2earithmetic_2e_2b_27__02(s__02(c_27type_2enum_2enum_27__00,c_27const_2epresLang_2eexp__size_27__01(s__02(c_27type_2epresLang_2eexp_27__00,V_27a0_27))),s__02(c_27type_2enum_2enum_27__00,chapp__02(s__02(cfun__02(c_27type_2east_2et_27__00,c_27type_2enum_2enum_27__00),c_27const_2east_2et__size_27__00),s__02(c_27type_2east_2et_27__00,V_27a1_27)))))))
& ! [V_27a0_27,V_27a1_27] : s__02(c_27type_2enum_2enum_27__00,c_27const_2epresLang_2eexp__size_27__01(s__02(c_27type_2epresLang_2eexp_27__00,c_27const_2epresLang_2eRaise_27__02(s__02(c_27type_2ebackend__common_2etra_27__00,V_27a0_27),s__02(c_27type_2epresLang_2eexp_27__00,V_27a1_27))))) = s__02(c_27type_2enum_2enum_27__00,c_27const_2earithmetic_2e_2b_27__02(s__02(c_27type_2enum_2enum_27__00,c_27const_2earithmetic_2eNUMERAL_27__01(s__02(c_27type_2enum_2enum_27__00,c_27const_2earithmetic_2eBIT1_27__01(s__02(c_27type_2enum_2enum_27__00,c_27const_2earithmetic_2eZERO_27__00))))),s__02(c_27type_2enum_2enum_27__00,c_27const_2earithmetic_2e_2b_27__02(s__02(c_27type_2enum_2enum_27__00,c_27const_2ebackend__common_2etra__size_27__01(s__02(c_27type_2ebackend__common_2etra_27__00,V_27a0_27))),s__02(c_27type_2enum_2enum_27__00,c_27const_2epresLang_2eexp__size_27__01(s__02(c_27type_2epresLang_2eexp_27__00,V_27a1_27)))))))
& ! [V_27a0_27,V_27a1_27,V_27a2_27] : s__02(c_27type_2enum_2enum_27__00,c_27const_2epresLang_2eexp__size_27__01(s__02(c_27type_2epresLang_2eexp_27__00,c_27const_2epresLang_2eHandle_27__03(s__02(c_27type_2ebackend__common_2etra_27__00,V_27a0_27),s__02(c_27type_2epresLang_2eexp_27__00,V_27a1_27),s__02(c_27type_2elist_2elist_27__01(c_27type_2epair_2eprod_27__02(c_27type_2epresLang_2eexp_27__00,c_27type_2epresLang_2eexp_27__00)),V_27a2_27))))) = s__02(c_27type_2enum_2enum_27__00,c_27const_2earithmetic_2e_2b_27__02(s__02(c_27type_2enum_2enum_27__00,c_27const_2earithmetic_2eNUMERAL_27__01(s__02(c_27type_2enum_2enum_27__00,c_27const_2earithmetic_2eBIT1_27__01(s__02(c_27type_2enum_2enum_27__00,c_27const_2earithmetic_2eZERO_27__00))))),s__02(c_27type_2enum_2enum_27__00,c_27const_2earithmetic_2e_2b_27__02(s__02(c_27type_2enum_2enum_27__00,c_27const_2ebackend__common_2etra__size_27__01(s__02(c_27type_2ebackend__common_2etra_27__00,V_27a0_27))),s__02(c_27type_2enum_2enum_27__00,c_27const_2earithmetic_2e_2b_27__02(s__02(c_27type_2enum_2enum_27__00,c_27const_2epresLang_2eexp__size_27__01(s__02(c_27type_2epresLang_2eexp_27__00,V_27a1_27))),s__02(c_27type_2enum_2enum_27__00,c_27const_2epresLang_2eexp10__size_27__01(s__02(c_27type_2elist_2elist_27__01(c_27type_2epair_2eprod_27__02(c_27type_2epresLang_2eexp_27__00,c_27type_2epresLang_2eexp_27__00)),V_27a2_27)))))))))
& ! [V_27a0_27,V_27a1_27,V_27a2_27,V_27a3_27] : s__02(c_27type_2enum_2enum_27__00,c_27const_2epresLang_2eexp__size_27__01(s__02(c_27type_2epresLang_2eexp_27__00,c_27const_2epresLang_2eHandle_7c39_7c_27__04(s__02(c_27type_2ebackend__common_2etra_27__00,V_27a0_27),s__02(c_27type_2epresLang_2eexp_27__00,V_27a1_27),s__02(c_27type_2elist_2elist_27__01(c_27type_2estring_2echar_27__00),V_27a2_27),s__02(c_27type_2epresLang_2eexp_27__00,V_27a3_27))))) = s__02(c_27type_2enum_2enum_27__00,c_27const_2earithmetic_2e_2b_27__02(s__02(c_27type_2enum_2enum_27__00,c_27const_2earithmetic_2eNUMERAL_27__01(s__02(c_27type_2enum_2enum_27__00,c_27const_2earithmetic_2eBIT1_27__01(s__02(c_27type_2enum_2enum_27__00,c_27const_2earithmetic_2eZERO_27__00))))),s__02(c_27type_2enum_2enum_27__00,c_27const_2earithmetic_2e_2b_27__02(s__02(c_27type_2enum_2enum_27__00,c_27const_2ebackend__common_2etra__size_27__01(s__02(c_27type_2ebackend__common_2etra_27__00,V_27a0_27))),s__02(c_27type_2enum_2enum_27__00,c_27const_2earithmetic_2e_2b_27__02(s__02(c_27type_2enum_2enum_27__00,c_27const_2epresLang_2eexp__size_27__01(s__02(c_27type_2epresLang_2eexp_27__00,V_27a1_27))),s__02(c_27type_2enum_2enum_27__00,c_27const_2earithmetic_2e_2b_27__02(s__02(c_27type_2enum_2enum_27__00,chapp__02(s__02(cfun__02(c_27type_2elist_2elist_27__01(c_27type_2estring_2echar_27__00),c_27type_2enum_2enum_27__00),c_27const_2elist_2elist__size_27__01(s__02(cfun__02(c_27type_2estring_2echar_27__00,c_27type_2enum_2enum_27__00),c_27const_2estring_2echar__size_27__00))),s__02(c_27type_2elist_2elist_27__01(c_27type_2estring_2echar_27__00),V_27a2_27))),s__02(c_27type_2enum_2enum_27__00,c_27const_2epresLang_2eexp__size_27__01(s__02(c_27type_2epresLang_2eexp_27__00,V_27a3_27)))))))))))
& ! [V_27a0_27,V_27a1_27] : s__02(c_27type_2enum_2enum_27__00,c_27const_2epresLang_2eexp__size_27__01(s__02(c_27type_2epresLang_2eexp_27__00,c_27const_2epresLang_2eVar_27__02(s__02(c_27type_2ebackend__common_2etra_27__00,V_27a0_27),s__02(c_27type_2elist_2elist_27__01(c_27type_2estring_2echar_27__00),V_27a1_27))))) = s__02(c_27type_2enum_2enum_27__00,c_27const_2earithmetic_2e_2b_27__02(s__02(c_27type_2enum_2enum_27__00,c_27const_2earithmetic_2eNUMERAL_27__01(s__02(c_27type_2enum_2enum_27__00,c_27const_2earithmetic_2eBIT1_27__01(s__02(c_27type_2enum_2enum_27__00,c_27const_2earithmetic_2eZERO_27__00))))),s__02(c_27type_2enum_2enum_27__00,c_27const_2earithmetic_2e_2b_27__02(s__02(c_27type_2enum_2enum_27__00,c_27const_2ebackend__common_2etra__size_27__01(s__02(c_27type_2ebackend__common_2etra_27__00,V_27a0_27))),s__02(c_27type_2enum_2enum_27__00,chapp__02(s__02(cfun__02(c_27type_2elist_2elist_27__01(c_27type_2estring_2echar_27__00),c_27type_2enum_2enum_27__00),c_27const_2elist_2elist__size_27__01(s__02(cfun__02(c_27type_2estring_2echar_27__00,c_27type_2enum_2enum_27__00),c_27const_2estring_2echar__size_27__00))),s__02(c_27type_2elist_2elist_27__01(c_27type_2estring_2echar_27__00),V_27a1_27)))))))
& ! [V_27a0_27,V_27a1_27] : s__02(c_27type_2enum_2enum_27__00,c_27const_2epresLang_2eexp__size_27__01(s__02(c_27type_2epresLang_2eexp_27__00,c_27const_2epresLang_2eVar__local_27__02(s__02(c_27type_2ebackend__common_2etra_27__00,V_27a0_27),s__02(c_27type_2elist_2elist_27__01(c_27type_2estring_2echar_27__00),V_27a1_27))))) = s__02(c_27type_2enum_2enum_27__00,c_27const_2earithmetic_2e_2b_27__02(s__02(c_27type_2enum_2enum_27__00,c_27const_2earithmetic_2eNUMERAL_27__01(s__02(c_27type_2enum_2enum_27__00,c_27const_2earithmetic_2eBIT1_27__01(s__02(c_27type_2enum_2enum_27__00,c_27const_2earithmetic_2eZERO_27__00))))),s__02(c_27type_2enum_2enum_27__00,c_27const_2earithmetic_2e_2b_27__02(s__02(c_27type_2enum_2enum_27__00,c_27const_2ebackend__common_2etra__size_27__01(s__02(c_27type_2ebackend__common_2etra_27__00,V_27a0_27))),s__02(c_27type_2enum_2enum_27__00,chapp__02(s__02(cfun__02(c_27type_2elist_2elist_27__01(c_27type_2estring_2echar_27__00),c_27type_2enum_2enum_27__00),c_27const_2elist_2elist__size_27__01(s__02(cfun__02(c_27type_2estring_2echar_27__00,c_27type_2enum_2enum_27__00),c_27const_2estring_2echar__size_27__00))),s__02(c_27type_2elist_2elist_27__01(c_27type_2estring_2echar_27__00),V_27a1_27)))))))
& ! [V_27a0_27,V_27a1_27] : s__02(c_27type_2enum_2enum_27__00,c_27const_2epresLang_2eexp__size_27__01(s__02(c_27type_2epresLang_2eexp_27__00,c_27const_2epresLang_2eVar__global_27__02(s__02(c_27type_2ebackend__common_2etra_27__00,V_27a0_27),s__02(c_27type_2enum_2enum_27__00,V_27a1_27))))) = s__02(c_27type_2enum_2enum_27__00,c_27const_2earithmetic_2e_2b_27__02(s__02(c_27type_2enum_2enum_27__00,c_27const_2earithmetic_2eNUMERAL_27__01(s__02(c_27type_2enum_2enum_27__00,c_27const_2earithmetic_2eBIT1_27__01(s__02(c_27type_2enum_2enum_27__00,c_27const_2earithmetic_2eZERO_27__00))))),s__02(c_27type_2enum_2enum_27__00,c_27const_2earithmetic_2e_2b_27__02(s__02(c_27type_2enum_2enum_27__00,c_27const_2ebackend__common_2etra__size_27__01(s__02(c_27type_2ebackend__common_2etra_27__00,V_27a0_27))),s__02(c_27type_2enum_2enum_27__00,V_27a1_27)))))
& ! [V_27a0_27,V_27a1_27] : s__02(c_27type_2enum_2enum_27__00,c_27const_2epresLang_2eexp__size_27__01(s__02(c_27type_2epresLang_2eexp_27__00,c_27const_2epresLang_2eExtend__global_27__02(s__02(c_27type_2ebackend__common_2etra_27__00,V_27a0_27),s__02(c_27type_2enum_2enum_27__00,V_27a1_27))))) = s__02(c_27type_2enum_2enum_27__00,c_27const_2earithmetic_2e_2b_27__02(s__02(c_27type_2enum_2enum_27__00,c_27const_2earithmetic_2eNUMERAL_27__01(s__02(c_27type_2enum_2enum_27__00,c_27const_2earithmetic_2eBIT1_27__01(s__02(c_27type_2enum_2enum_27__00,c_27const_2earithmetic_2eZERO_27__00))))),s__02(c_27type_2enum_2enum_27__00,c_27const_2earithmetic_2e_2b_27__02(s__02(c_27type_2enum_2enum_27__00,c_27const_2ebackend__common_2etra__size_27__01(s__02(c_27type_2ebackend__common_2etra_27__00,V_27a0_27))),s__02(c_27type_2enum_2enum_27__00,V_27a1_27)))))
& ! [V_27a0_27,V_27a1_27] : s__02(c_27type_2enum_2enum_27__00,c_27const_2epresLang_2eexp__size_27__01(s__02(c_27type_2epresLang_2eexp_27__00,c_27const_2epresLang_2eLit_27__02(s__02(c_27type_2ebackend__common_2etra_27__00,V_27a0_27),s__02(c_27type_2east_2elit_27__00,V_27a1_27))))) = s__02(c_27type_2enum_2enum_27__00,c_27const_2earithmetic_2e_2b_27__02(s__02(c_27type_2enum_2enum_27__00,c_27const_2earithmetic_2eNUMERAL_27__01(s__02(c_27type_2enum_2enum_27__00,c_27const_2earithmetic_2eBIT1_27__01(s__02(c_27type_2enum_2enum_27__00,c_27const_2earithmetic_2eZERO_27__00))))),s__02(c_27type_2enum_2enum_27__00,c_27const_2earithmetic_2e_2b_27__02(s__02(c_27type_2enum_2enum_27__00,c_27const_2ebackend__common_2etra__size_27__01(s__02(c_27type_2ebackend__common_2etra_27__00,V_27a0_27))),s__02(c_27type_2enum_2enum_27__00,c_27const_2east_2elit__size_27__01(s__02(c_27type_2east_2elit_27__00,V_27a1_27)))))))
& ! [V_27a0_27,V_27a1_27,V_27a2_27] : s__02(c_27type_2enum_2enum_27__00,c_27const_2epresLang_2eexp__size_27__01(s__02(c_27type_2epresLang_2eexp_27__00,c_27const_2epresLang_2eCon_27__03(s__02(c_27type_2ebackend__common_2etra_27__00,V_27a0_27),s__02(c_27type_2epresLang_2econF_27__00,V_27a1_27),s__02(c_27type_2elist_2elist_27__01(c_27type_2epresLang_2eexp_27__00),V_27a2_27))))) = s__02(c_27type_2enum_2enum_27__00,c_27const_2earithmetic_2e_2b_27__02(s__02(c_27type_2enum_2enum_27__00,c_27const_2earithmetic_2eNUMERAL_27__01(s__02(c_27type_2enum_2enum_27__00,c_27const_2earithmetic_2eBIT1_27__01(s__02(c_27type_2enum_2enum_27__00,c_27const_2earithmetic_2eZERO_27__00))))),s__02(c_27type_2enum_2enum_27__00,c_27const_2earithmetic_2e_2b_27__02(s__02(c_27type_2enum_2enum_27__00,c_27const_2ebackend__common_2etra__size_27__01(s__02(c_27type_2ebackend__common_2etra_27__00,V_27a0_27))),s__02(c_27type_2enum_2enum_27__00,c_27const_2earithmetic_2e_2b_27__02(s__02(c_27type_2enum_2enum_27__00,c_27const_2epresLang_2econF__size_27__01(s__02(c_27type_2epresLang_2econF_27__00,V_27a1_27))),s__02(c_27type_2enum_2enum_27__00,c_27const_2epresLang_2eexp12__size_27__01(s__02(c_27type_2elist_2elist_27__01(c_27type_2epresLang_2eexp_27__00),V_27a2_27)))))))))
& ! [V_27a0_27,V_27a1_27,V_27a2_27] : s__02(c_27type_2enum_2enum_27__00,c_27const_2epresLang_2eexp__size_27__01(s__02(c_27type_2epresLang_2eexp_27__00,c_27const_2epresLang_2eApp_27__03(s__02(c_27type_2ebackend__common_2etra_27__00,V_27a0_27),s__02(c_27type_2epresLang_2eop_27__00,V_27a1_27),s__02(c_27type_2elist_2elist_27__01(c_27type_2epresLang_2eexp_27__00),V_27a2_27))))) = s__02(c_27type_2enum_2enum_27__00,c_27const_2earithmetic_2e_2b_27__02(s__02(c_27type_2enum_2enum_27__00,c_27const_2earithmetic_2eNUMERAL_27__01(s__02(c_27type_2enum_2enum_27__00,c_27const_2earithmetic_2eBIT1_27__01(s__02(c_27type_2enum_2enum_27__00,c_27const_2earithmetic_2eZERO_27__00))))),s__02(c_27type_2enum_2enum_27__00,c_27const_2earithmetic_2e_2b_27__02(s__02(c_27type_2enum_2enum_27__00,c_27const_2ebackend__common_2etra__size_27__01(s__02(c_27type_2ebackend__common_2etra_27__00,V_27a0_27))),s__02(c_27type_2enum_2enum_27__00,c_27const_2earithmetic_2e_2b_27__02(s__02(c_27type_2enum_2enum_27__00,c_27const_2epresLang_2eop__size_27__01(s__02(c_27type_2epresLang_2eop_27__00,V_27a1_27))),s__02(c_27type_2enum_2enum_27__00,c_27const_2epresLang_2eexp12__size_27__01(s__02(c_27type_2elist_2elist_27__01(c_27type_2epresLang_2eexp_27__00),V_27a2_27)))))))))
& ! [V_27a0_27,V_27a1_27,V_27a2_27] : s__02(c_27type_2enum_2enum_27__00,c_27const_2epresLang_2eexp__size_27__01(s__02(c_27type_2epresLang_2eexp_27__00,c_27const_2epresLang_2eFun_27__03(s__02(c_27type_2ebackend__common_2etra_27__00,V_27a0_27),s__02(c_27type_2elist_2elist_27__01(c_27type_2estring_2echar_27__00),V_27a1_27),s__02(c_27type_2epresLang_2eexp_27__00,V_27a2_27))))) = s__02(c_27type_2enum_2enum_27__00,c_27const_2earithmetic_2e_2b_27__02(s__02(c_27type_2enum_2enum_27__00,c_27const_2earithmetic_2eNUMERAL_27__01(s__02(c_27type_2enum_2enum_27__00,c_27const_2earithmetic_2eBIT1_27__01(s__02(c_27type_2enum_2enum_27__00,c_27const_2earithmetic_2eZERO_27__00))))),s__02(c_27type_2enum_2enum_27__00,c_27const_2earithmetic_2e_2b_27__02(s__02(c_27type_2enum_2enum_27__00,c_27const_2ebackend__common_2etra__size_27__01(s__02(c_27type_2ebackend__common_2etra_27__00,V_27a0_27))),s__02(c_27type_2enum_2enum_27__00,c_27const_2earithmetic_2e_2b_27__02(s__02(c_27type_2enum_2enum_27__00,chapp__02(s__02(cfun__02(c_27type_2elist_2elist_27__01(c_27type_2estring_2echar_27__00),c_27type_2enum_2enum_27__00),c_27const_2elist_2elist__size_27__01(s__02(cfun__02(c_27type_2estring_2echar_27__00,c_27type_2enum_2enum_27__00),c_27const_2estring_2echar__size_27__00))),s__02(c_27type_2elist_2elist_27__01(c_27type_2estring_2echar_27__00),V_27a1_27))),s__02(c_27type_2enum_2enum_27__00,c_27const_2epresLang_2eexp__size_27__01(s__02(c_27type_2epresLang_2eexp_27__00,V_27a2_27)))))))))
& ! [V_27a0_27,V_27a1_27,V_27a2_27] : s__02(c_27type_2enum_2enum_27__00,c_27const_2epresLang_2eexp__size_27__01(s__02(c_27type_2epresLang_2eexp_27__00,c_27const_2epresLang_2eOp_27__03(s__02(c_27type_2ebackend__common_2etra_27__00,V_27a0_27),s__02(c_27type_2epresLang_2eop_27__00,V_27a1_27),s__02(c_27type_2elist_2elist_27__01(c_27type_2epresLang_2eexp_27__00),V_27a2_27))))) = s__02(c_27type_2enum_2enum_27__00,c_27const_2earithmetic_2e_2b_27__02(s__02(c_27type_2enum_2enum_27__00,c_27const_2earithmetic_2eNUMERAL_27__01(s__02(c_27type_2enum_2enum_27__00,c_27const_2earithmetic_2eBIT1_27__01(s__02(c_27type_2enum_2enum_27__00,c_27const_2earithmetic_2eZERO_27__00))))),s__02(c_27type_2enum_2enum_27__00,c_27const_2earithmetic_2e_2b_27__02(s__02(c_27type_2enum_2enum_27__00,c_27const_2ebackend__common_2etra__size_27__01(s__02(c_27type_2ebackend__common_2etra_27__00,V_27a0_27))),s__02(c_27type_2enum_2enum_27__00,c_27const_2earithmetic_2e_2b_27__02(s__02(c_27type_2enum_2enum_27__00,c_27const_2epresLang_2eop__size_27__01(s__02(c_27type_2epresLang_2eop_27__00,V_27a1_27))),s__02(c_27type_2enum_2enum_27__00,c_27const_2epresLang_2eexp12__size_27__01(s__02(c_27type_2elist_2elist_27__01(c_27type_2epresLang_2eexp_27__00),V_27a2_27)))))))))
& ! [V_27a0_27,V_27a1_27,V_27a2_27,V_27a3_27] : s__02(c_27type_2enum_2enum_27__00,c_27const_2epresLang_2eexp__size_27__01(s__02(c_27type_2epresLang_2eexp_27__00,c_27const_2epresLang_2eApp_7c39_7c_27__04(s__02(c_27type_2ebackend__common_2etra_27__00,V_27a0_27),s__02(c_27type_2eoption_2eoption_27__01(c_27type_2enum_2enum_27__00),V_27a1_27),s__02(c_27type_2epresLang_2eexp_27__00,V_27a2_27),s__02(c_27type_2elist_2elist_27__01(c_27type_2epresLang_2eexp_27__00),V_27a3_27))))) = s__02(c_27type_2enum_2enum_27__00,c_27const_2earithmetic_2e_2b_27__02(s__02(c_27type_2enum_2enum_27__00,c_27const_2earithmetic_2eNUMERAL_27__01(s__02(c_27type_2enum_2enum_27__00,c_27const_2earithmetic_2eBIT1_27__01(s__02(c_27type_2enum_2enum_27__00,c_27const_2earithmetic_2eZERO_27__00))))),s__02(c_27type_2enum_2enum_27__00,c_27const_2earithmetic_2e_2b_27__02(s__02(c_27type_2enum_2enum_27__00,c_27const_2ebackend__common_2etra__size_27__01(s__02(c_27type_2ebackend__common_2etra_27__00,V_27a0_27))),s__02(c_27type_2enum_2enum_27__00,c_27const_2earithmetic_2e_2b_27__02(s__02(c_27type_2enum_2enum_27__00,c_27const_2ebasicSize_2eoption__size_27__02(s__02(cfun__02(c_27type_2enum_2enum_27__00,c_27type_2enum_2enum_27__00),V__0),s__02(c_27type_2eoption_2eoption_27__01(c_27type_2enum_2enum_27__00),V_27a1_27))),s__02(c_27type_2enum_2enum_27__00,c_27const_2earithmetic_2e_2b_27__02(s__02(c_27type_2enum_2enum_27__00,c_27const_2epresLang_2eexp__size_27__01(s__02(c_27type_2epresLang_2eexp_27__00,V_27a2_27))),s__02(c_27type_2enum_2enum_27__00,c_27const_2epresLang_2eexp12__size_27__01(s__02(c_27type_2elist_2elist_27__01(c_27type_2epresLang_2eexp_27__00),V_27a3_27)))))))))))
& ! [V_27a0_27,V_27a1_27,V_27a2_27,V_27a3_27] : s__02(c_27type_2enum_2enum_27__00,c_27const_2epresLang_2eexp__size_27__01(s__02(c_27type_2epresLang_2eexp_27__00,c_27const_2epresLang_2eCall_27__04(s__02(c_27type_2ebackend__common_2etra_27__00,V_27a0_27),s__02(c_27type_2enum_2enum_27__00,V_27a1_27),s__02(c_27type_2enum_2enum_27__00,V_27a2_27),s__02(c_27type_2elist_2elist_27__01(c_27type_2epresLang_2eexp_27__00),V_27a3_27))))) = s__02(c_27type_2enum_2enum_27__00,c_27const_2earithmetic_2e_2b_27__02(s__02(c_27type_2enum_2enum_27__00,c_27const_2earithmetic_2eNUMERAL_27__01(s__02(c_27type_2enum_2enum_27__00,c_27const_2earithmetic_2eBIT1_27__01(s__02(c_27type_2enum_2enum_27__00,c_27const_2earithmetic_2eZERO_27__00))))),s__02(c_27type_2enum_2enum_27__00,c_27const_2earithmetic_2e_2b_27__02(s__02(c_27type_2enum_2enum_27__00,c_27const_2ebackend__common_2etra__size_27__01(s__02(c_27type_2ebackend__common_2etra_27__00,V_27a0_27))),s__02(c_27type_2enum_2enum_27__00,c_27const_2earithmetic_2e_2b_27__02(s__02(c_27type_2enum_2enum_27__00,V_27a1_27),s__02(c_27type_2enum_2enum_27__00,c_27const_2earithmetic_2e_2b_27__02(s__02(c_27type_2enum_2enum_27__00,V_27a2_27),s__02(c_27type_2enum_2enum_27__00,c_27const_2epresLang_2eexp12__size_27__01(s__02(c_27type_2elist_2elist_27__01(c_27type_2epresLang_2eexp_27__00),V_27a3_27)))))))))))
& ! [V_27a0_27,V_27a1_27,V_27a2_27,V_27a3_27] : s__02(c_27type_2enum_2enum_27__00,c_27const_2epresLang_2eexp__size_27__01(s__02(c_27type_2epresLang_2eexp_27__00,c_27const_2epresLang_2eLog_27__04(s__02(c_27type_2ebackend__common_2etra_27__00,V_27a0_27),s__02(c_27type_2east_2elop_27__00,V_27a1_27),s__02(c_27type_2epresLang_2eexp_27__00,V_27a2_27),s__02(c_27type_2epresLang_2eexp_27__00,V_27a3_27))))) = s__02(c_27type_2enum_2enum_27__00,c_27const_2earithmetic_2e_2b_27__02(s__02(c_27type_2enum_2enum_27__00,c_27const_2earithmetic_2eNUMERAL_27__01(s__02(c_27type_2enum_2enum_27__00,c_27const_2earithmetic_2eBIT1_27__01(s__02(c_27type_2enum_2enum_27__00,c_27const_2earithmetic_2eZERO_27__00))))),s__02(c_27type_2enum_2enum_27__00,c_27const_2earithmetic_2e_2b_27__02(s__02(c_27type_2enum_2enum_27__00,c_27const_2ebackend__common_2etra__size_27__01(s__02(c_27type_2ebackend__common_2etra_27__00,V_27a0_27))),s__02(c_27type_2enum_2enum_27__00,c_27const_2earithmetic_2e_2b_27__02(s__02(c_27type_2enum_2enum_27__00,c_27const_2east_2elop__size_27__01(s__02(c_27type_2east_2elop_27__00,V_27a1_27))),s__02(c_27type_2enum_2enum_27__00,c_27const_2earithmetic_2e_2b_27__02(s__02(c_27type_2enum_2enum_27__00,c_27const_2epresLang_2eexp__size_27__01(s__02(c_27type_2epresLang_2eexp_27__00,V_27a2_27))),s__02(c_27type_2enum_2enum_27__00,c_27const_2epresLang_2eexp__size_27__01(s__02(c_27type_2epresLang_2eexp_27__00,V_27a3_27)))))))))))
& ! [V_27a0_27,V_27a1_27,V_27a2_27,V_27a3_27] : s__02(c_27type_2enum_2enum_27__00,c_27const_2epresLang_2eexp__size_27__01(s__02(c_27type_2epresLang_2eexp_27__00,c_27const_2epresLang_2eIf_27__04(s__02(c_27type_2ebackend__common_2etra_27__00,V_27a0_27),s__02(c_27type_2epresLang_2eexp_27__00,V_27a1_27),s__02(c_27type_2epresLang_2eexp_27__00,V_27a2_27),s__02(c_27type_2epresLang_2eexp_27__00,V_27a3_27))))) = s__02(c_27type_2enum_2enum_27__00,c_27const_2earithmetic_2e_2b_27__02(s__02(c_27type_2enum_2enum_27__00,c_27const_2earithmetic_2eNUMERAL_27__01(s__02(c_27type_2enum_2enum_27__00,c_27const_2earithmetic_2eBIT1_27__01(s__02(c_27type_2enum_2enum_27__00,c_27const_2earithmetic_2eZERO_27__00))))),s__02(c_27type_2enum_2enum_27__00,c_27const_2earithmetic_2e_2b_27__02(s__02(c_27type_2enum_2enum_27__00,c_27const_2ebackend__common_2etra__size_27__01(s__02(c_27type_2ebackend__common_2etra_27__00,V_27a0_27))),s__02(c_27type_2enum_2enum_27__00,c_27const_2earithmetic_2e_2b_27__02(s__02(c_27type_2enum_2enum_27__00,c_27const_2epresLang_2eexp__size_27__01(s__02(c_27type_2epresLang_2eexp_27__00,V_27a1_27))),s__02(c_27type_2enum_2enum_27__00,c_27const_2earithmetic_2e_2b_27__02(s__02(c_27type_2enum_2enum_27__00,c_27const_2epresLang_2eexp__size_27__01(s__02(c_27type_2epresLang_2eexp_27__00,V_27a2_27))),s__02(c_27type_2enum_2enum_27__00,c_27const_2epresLang_2eexp__size_27__01(s__02(c_27type_2epresLang_2eexp_27__00,V_27a3_27)))))))))))
& ! [V_27a0_27,V_27a1_27,V_27a2_27] : s__02(c_27type_2enum_2enum_27__00,c_27const_2epresLang_2eexp__size_27__01(s__02(c_27type_2epresLang_2eexp_27__00,c_27const_2epresLang_2eMat_27__03(s__02(c_27type_2ebackend__common_2etra_27__00,V_27a0_27),s__02(c_27type_2epresLang_2eexp_27__00,V_27a1_27),s__02(c_27type_2elist_2elist_27__01(c_27type_2epair_2eprod_27__02(c_27type_2epresLang_2eexp_27__00,c_27type_2epresLang_2eexp_27__00)),V_27a2_27))))) = s__02(c_27type_2enum_2enum_27__00,c_27const_2earithmetic_2e_2b_27__02(s__02(c_27type_2enum_2enum_27__00,c_27const_2earithmetic_2eNUMERAL_27__01(s__02(c_27type_2enum_2enum_27__00,c_27const_2earithmetic_2eBIT1_27__01(s__02(c_27type_2enum_2enum_27__00,c_27const_2earithmetic_2eZERO_27__00))))),s__02(c_27type_2enum_2enum_27__00,c_27const_2earithmetic_2e_2b_27__02(s__02(c_27type_2enum_2enum_27__00,c_27const_2ebackend__common_2etra__size_27__01(s__02(c_27type_2ebackend__common_2etra_27__00,V_27a0_27))),s__02(c_27type_2enum_2enum_27__00,c_27const_2earithmetic_2e_2b_27__02(s__02(c_27type_2enum_2enum_27__00,c_27const_2epresLang_2eexp__size_27__01(s__02(c_27type_2epresLang_2eexp_27__00,V_27a1_27))),s__02(c_27type_2enum_2enum_27__00,c_27const_2epresLang_2eexp10__size_27__01(s__02(c_27type_2elist_2elist_27__01(c_27type_2epair_2eprod_27__02(c_27type_2epresLang_2eexp_27__00,c_27type_2epresLang_2eexp_27__00)),V_27a2_27)))))))))
& ! [V_27a0_27,V_27a1_27,V_27a2_27,V_27a3_27] : s__02(c_27type_2enum_2enum_27__00,c_27const_2epresLang_2eexp__size_27__01(s__02(c_27type_2epresLang_2eexp_27__00,c_27const_2epresLang_2eLet_27__04(s__02(c_27type_2ebackend__common_2etra_27__00,V_27a0_27),s__02(c_27type_2eoption_2eoption_27__01(c_27type_2elist_2elist_27__01(c_27type_2estring_2echar_27__00)),V_27a1_27),s__02(c_27type_2epresLang_2eexp_27__00,V_27a2_27),s__02(c_27type_2epresLang_2eexp_27__00,V_27a3_27))))) = s__02(c_27type_2enum_2enum_27__00,c_27const_2earithmetic_2e_2b_27__02(s__02(c_27type_2enum_2enum_27__00,c_27const_2earithmetic_2eNUMERAL_27__01(s__02(c_27type_2enum_2enum_27__00,c_27const_2earithmetic_2eBIT1_27__01(s__02(c_27type_2enum_2enum_27__00,c_27const_2earithmetic_2eZERO_27__00))))),s__02(c_27type_2enum_2enum_27__00,c_27const_2earithmetic_2e_2b_27__02(s__02(c_27type_2enum_2enum_27__00,c_27const_2ebackend__common_2etra__size_27__01(s__02(c_27type_2ebackend__common_2etra_27__00,V_27a0_27))),s__02(c_27type_2enum_2enum_27__00,c_27const_2earithmetic_2e_2b_27__02(s__02(c_27type_2enum_2enum_27__00,c_27const_2ebasicSize_2eoption__size_27__02(s__02(cfun__02(c_27type_2elist_2elist_27__01(c_27type_2estring_2echar_27__00),c_27type_2enum_2enum_27__00),c_27const_2elist_2elist__size_27__01(s__02(cfun__02(c_27type_2estring_2echar_27__00,c_27type_2enum_2enum_27__00),c_27const_2estring_2echar__size_27__00))),s__02(c_27type_2eoption_2eoption_27__01(c_27type_2elist_2elist_27__01(c_27type_2estring_2echar_27__00)),V_27a1_27))),s__02(c_27type_2enum_2enum_27__00,c_27const_2earithmetic_2e_2b_27__02(s__02(c_27type_2enum_2enum_27__00,c_27const_2epresLang_2eexp__size_27__01(s__02(c_27type_2epresLang_2eexp_27__00,V_27a2_27))),s__02(c_27type_2enum_2enum_27__00,c_27const_2epresLang_2eexp__size_27__01(s__02(c_27type_2epresLang_2eexp_27__00,V_27a3_27)))))))))))
& ! [V_27a0_27,V_27a1_27,V_27a2_27] : s__02(c_27type_2enum_2enum_27__00,c_27const_2epresLang_2eexp__size_27__01(s__02(c_27type_2epresLang_2eexp_27__00,c_27const_2epresLang_2eLet_7c39_7c_27__03(s__02(c_27type_2ebackend__common_2etra_27__00,V_27a0_27),s__02(c_27type_2elist_2elist_27__01(c_27type_2epair_2eprod_27__02(c_27type_2elist_2elist_27__01(c_27type_2estring_2echar_27__00),c_27type_2epresLang_2eexp_27__00)),V_27a1_27),s__02(c_27type_2epresLang_2eexp_27__00,V_27a2_27))))) = s__02(c_27type_2enum_2enum_27__00,c_27const_2earithmetic_2e_2b_27__02(s__02(c_27type_2enum_2enum_27__00,c_27const_2earithmetic_2eNUMERAL_27__01(s__02(c_27type_2enum_2enum_27__00,c_27const_2earithmetic_2eBIT1_27__01(s__02(c_27type_2enum_2enum_27__00,c_27const_2earithmetic_2eZERO_27__00))))),s__02(c_27type_2enum_2enum_27__00,c_27const_2earithmetic_2e_2b_27__02(s__02(c_27type_2enum_2enum_27__00,c_27const_2ebackend__common_2etra__size_27__01(s__02(c_27type_2ebackend__common_2etra_27__00,V_27a0_27))),s__02(c_27type_2enum_2enum_27__00,c_27const_2earithmetic_2e_2b_27__02(s__02(c_27type_2enum_2enum_27__00,c_27const_2epresLang_2eexp8__size_27__01(s__02(c_27type_2elist_2elist_27__01(c_27type_2epair_2eprod_27__02(c_27type_2elist_2elist_27__01(c_27type_2estring_2echar_27__00),c_27type_2epresLang_2eexp_27__00)),V_27a1_27))),s__02(c_27type_2enum_2enum_27__00,c_27const_2epresLang_2eexp__size_27__01(s__02(c_27type_2epresLang_2eexp_27__00,V_27a2_27)))))))))
& ! [V_27a0_27,V_27a1_27,V_27a2_27] : s__02(c_27type_2enum_2enum_27__00,c_27const_2epresLang_2eexp__size_27__01(s__02(c_27type_2epresLang_2eexp_27__00,c_27const_2epresLang_2eLetrec_27__03(s__02(c_27type_2ebackend__common_2etra_27__00,V_27a0_27),s__02(c_27type_2elist_2elist_27__01(c_27type_2epair_2eprod_27__02(c_27type_2elist_2elist_27__01(c_27type_2estring_2echar_27__00),c_27type_2epair_2eprod_27__02(c_27type_2elist_2elist_27__01(c_27type_2estring_2echar_27__00),c_27type_2epresLang_2eexp_27__00))),V_27a1_27),s__02(c_27type_2epresLang_2eexp_27__00,V_27a2_27))))) = s__02(c_27type_2enum_2enum_27__00,c_27const_2earithmetic_2e_2b_27__02(s__02(c_27type_2enum_2enum_27__00,c_27const_2earithmetic_2eNUMERAL_27__01(s__02(c_27type_2enum_2enum_27__00,c_27const_2earithmetic_2eBIT1_27__01(s__02(c_27type_2enum_2enum_27__00,c_27const_2earithmetic_2eZERO_27__00))))),s__02(c_27type_2enum_2enum_27__00,c_27const_2earithmetic_2e_2b_27__02(s__02(c_27type_2enum_2enum_27__00,c_27const_2ebackend__common_2etra__size_27__01(s__02(c_27type_2ebackend__common_2etra_27__00,V_27a0_27))),s__02(c_27type_2enum_2enum_27__00,c_27const_2earithmetic_2e_2b_27__02(s__02(c_27type_2enum_2enum_27__00,c_27const_2epresLang_2eexp3__size_27__01(s__02(c_27type_2elist_2elist_27__01(c_27type_2epair_2eprod_27__02(c_27type_2elist_2elist_27__01(c_27type_2estring_2echar_27__00),c_27type_2epair_2eprod_27__02(c_27type_2elist_2elist_27__01(c_27type_2estring_2echar_27__00),c_27type_2epresLang_2eexp_27__00))),V_27a1_27))),s__02(c_27type_2enum_2enum_27__00,c_27const_2epresLang_2eexp__size_27__01(s__02(c_27type_2epresLang_2eexp_27__00,V_27a2_27)))))))))
& ! [V_27a0_27,V_27a1_27,V_27a2_27,V_27a3_27,V_27a4_27] : s__02(c_27type_2enum_2enum_27__00,c_27const_2epresLang_2eexp__size_27__01(s__02(c_27type_2epresLang_2eexp_27__00,c_27const_2epresLang_2eLetrec_7c39_7c_27__05(s__02(c_27type_2ebackend__common_2etra_27__00,V_27a0_27),s__02(c_27type_2eoption_2eoption_27__01(c_27type_2enum_2enum_27__00),V_27a1_27),s__02(c_27type_2eoption_2eoption_27__01(c_27type_2elist_2elist_27__01(c_27type_2enum_2enum_27__00)),V_27a2_27),s__02(c_27type_2elist_2elist_27__01(c_27type_2epair_2eprod_27__02(c_27type_2elist_2elist_27__01(c_27type_2estring_2echar_27__00),c_27type_2epair_2eprod_27__02(c_27type_2elist_2elist_27__01(c_27type_2elist_2elist_27__01(c_27type_2estring_2echar_27__00)),c_27type_2epresLang_2eexp_27__00))),V_27a3_27),s__02(c_27type_2epresLang_2eexp_27__00,V_27a4_27))))) = s__02(c_27type_2enum_2enum_27__00,c_27const_2earithmetic_2e_2b_27__02(s__02(c_27type_2enum_2enum_27__00,c_27const_2earithmetic_2eNUMERAL_27__01(s__02(c_27type_2enum_2enum_27__00,c_27const_2earithmetic_2eBIT1_27__01(s__02(c_27type_2enum_2enum_27__00,c_27const_2earithmetic_2eZERO_27__00))))),s__02(c_27type_2enum_2enum_27__00,c_27const_2earithmetic_2e_2b_27__02(s__02(c_27type_2enum_2enum_27__00,c_27const_2ebackend__common_2etra__size_27__01(s__02(c_27type_2ebackend__common_2etra_27__00,V_27a0_27))),s__02(c_27type_2enum_2enum_27__00,c_27const_2earithmetic_2e_2b_27__02(s__02(c_27type_2enum_2enum_27__00,c_27const_2ebasicSize_2eoption__size_27__02(s__02(cfun__02(c_27type_2enum_2enum_27__00,c_27type_2enum_2enum_27__00),V__0),s__02(c_27type_2eoption_2eoption_27__01(c_27type_2enum_2enum_27__00),V_27a1_27))),s__02(c_27type_2enum_2enum_27__00,c_27const_2earithmetic_2e_2b_27__02(s__02(c_27type_2enum_2enum_27__00,c_27const_2ebasicSize_2eoption__size_27__02(s__02(cfun__02(c_27type_2elist_2elist_27__01(c_27type_2enum_2enum_27__00),c_27type_2enum_2enum_27__00),c_27const_2elist_2elist__size_27__01(s__02(cfun__02(c_27type_2enum_2enum_27__00,c_27type_2enum_2enum_27__00),V__0))),s__02(c_27type_2eoption_2eoption_27__01(c_27type_2elist_2elist_27__01(c_27type_2enum_2enum_27__00)),V_27a2_27))),s__02(c_27type_2enum_2enum_27__00,c_27const_2earithmetic_2e_2b_27__02(s__02(c_27type_2enum_2enum_27__00,c_27const_2epresLang_2eexp1__size_27__01(s__02(c_27type_2elist_2elist_27__01(c_27type_2epair_2eprod_27__02(c_27type_2elist_2elist_27__01(c_27type_2estring_2echar_27__00),c_27type_2epair_2eprod_27__02(c_27type_2elist_2elist_27__01(c_27type_2elist_2elist_27__01(c_27type_2estring_2echar_27__00)),c_27type_2epresLang_2eexp_27__00))),V_27a3_27))),s__02(c_27type_2enum_2enum_27__00,c_27const_2epresLang_2eexp__size_27__01(s__02(c_27type_2epresLang_2eexp_27__00,V_27a4_27)))))))))))))
& ! [V_27a0_27,V_27a1_27,V_27a2_27,V_27a3_27,V_27a4_27] : s__02(c_27type_2enum_2enum_27__00,c_27const_2epresLang_2eexp__size_27__01(s__02(c_27type_2epresLang_2eexp_27__00,c_27const_2epresLang_2eFn_27__05(s__02(c_27type_2ebackend__common_2etra_27__00,V_27a0_27),s__02(c_27type_2eoption_2eoption_27__01(c_27type_2enum_2enum_27__00),V_27a1_27),s__02(c_27type_2eoption_2eoption_27__01(c_27type_2elist_2elist_27__01(c_27type_2enum_2enum_27__00)),V_27a2_27),s__02(c_27type_2elist_2elist_27__01(c_27type_2elist_2elist_27__01(c_27type_2estring_2echar_27__00)),V_27a3_27),s__02(c_27type_2epresLang_2eexp_27__00,V_27a4_27))))) = s__02(c_27type_2enum_2enum_27__00,c_27const_2earithmetic_2e_2b_27__02(s__02(c_27type_2enum_2enum_27__00,c_27const_2earithmetic_2eNUMERAL_27__01(s__02(c_27type_2enum_2enum_27__00,c_27const_2earithmetic_2eBIT1_27__01(s__02(c_27type_2enum_2enum_27__00,c_27const_2earithmetic_2eZERO_27__00))))),s__02(c_27type_2enum_2enum_27__00,c_27const_2earithmetic_2e_2b_27__02(s__02(c_27type_2enum_2enum_27__00,c_27const_2ebackend__common_2etra__size_27__01(s__02(c_27type_2ebackend__common_2etra_27__00,V_27a0_27))),s__02(c_27type_2enum_2enum_27__00,c_27const_2earithmetic_2e_2b_27__02(s__02(c_27type_2enum_2enum_27__00,c_27const_2ebasicSize_2eoption__size_27__02(s__02(cfun__02(c_27type_2enum_2enum_27__00,c_27type_2enum_2enum_27__00),V__0),s__02(c_27type_2eoption_2eoption_27__01(c_27type_2enum_2enum_27__00),V_27a1_27))),s__02(c_27type_2enum_2enum_27__00,c_27const_2earithmetic_2e_2b_27__02(s__02(c_27type_2enum_2enum_27__00,c_27const_2ebasicSize_2eoption__size_27__02(s__02(cfun__02(c_27type_2elist_2elist_27__01(c_27type_2enum_2enum_27__00),c_27type_2enum_2enum_27__00),c_27const_2elist_2elist__size_27__01(s__02(cfun__02(c_27type_2enum_2enum_27__00,c_27type_2enum_2enum_27__00),V__0))),s__02(c_27type_2eoption_2eoption_27__01(c_27type_2elist_2elist_27__01(c_27type_2enum_2enum_27__00)),V_27a2_27))),s__02(c_27type_2enum_2enum_27__00,c_27const_2earithmetic_2e_2b_27__02(s__02(c_27type_2enum_2enum_27__00,chapp__02(s__02(cfun__02(c_27type_2elist_2elist_27__01(c_27type_2elist_2elist_27__01(c_27type_2estring_2echar_27__00)),c_27type_2enum_2enum_27__00),c_27const_2elist_2elist__size_27__01(s__02(cfun__02(c_27type_2elist_2elist_27__01(c_27type_2estring_2echar_27__00),c_27type_2enum_2enum_27__00),c_27const_2elist_2elist__size_27__01(s__02(cfun__02(c_27type_2estring_2echar_27__00,c_27type_2enum_2enum_27__00),c_27const_2estring_2echar__size_27__00))))),s__02(c_27type_2elist_2elist_27__01(c_27type_2elist_2elist_27__01(c_27type_2estring_2echar_27__00)),V_27a3_27))),s__02(c_27type_2enum_2enum_27__00,c_27const_2epresLang_2eexp__size_27__01(s__02(c_27type_2epresLang_2eexp_27__00,V_27a4_27)))))))))))))
& ! [V_27a0_27,V_27a1_27,V_27a2_27] : s__02(c_27type_2enum_2enum_27__00,c_27const_2epresLang_2eexp__size_27__01(s__02(c_27type_2epresLang_2eexp_27__00,c_27const_2epresLang_2eSeq_27__03(s__02(c_27type_2ebackend__common_2etra_27__00,V_27a0_27),s__02(c_27type_2epresLang_2eexp_27__00,V_27a1_27),s__02(c_27type_2epresLang_2eexp_27__00,V_27a2_27))))) = s__02(c_27type_2enum_2enum_27__00,c_27const_2earithmetic_2e_2b_27__02(s__02(c_27type_2enum_2enum_27__00,c_27const_2earithmetic_2eNUMERAL_27__01(s__02(c_27type_2enum_2enum_27__00,c_27const_2earithmetic_2eBIT1_27__01(s__02(c_27type_2enum_2enum_27__00,c_27const_2earithmetic_2eZERO_27__00))))),s__02(c_27type_2enum_2enum_27__00,c_27const_2earithmetic_2e_2b_27__02(s__02(c_27type_2enum_2enum_27__00,c_27const_2ebackend__common_2etra__size_27__01(s__02(c_27type_2ebackend__common_2etra_27__00,V_27a0_27))),s__02(c_27type_2enum_2enum_27__00,c_27const_2earithmetic_2e_2b_27__02(s__02(c_27type_2enum_2enum_27__00,c_27const_2epresLang_2eexp__size_27__01(s__02(c_27type_2epresLang_2eexp_27__00,V_27a1_27))),s__02(c_27type_2enum_2enum_27__00,c_27const_2epresLang_2eexp__size_27__01(s__02(c_27type_2epresLang_2eexp_27__00,V_27a2_27)))))))))
& ! [V_27a0_27,V_27a1_27] : s__02(c_27type_2enum_2enum_27__00,c_27const_2epresLang_2eexp__size_27__01(s__02(c_27type_2epresLang_2eexp_27__00,c_27const_2epresLang_2eTick_27__02(s__02(c_27type_2ebackend__common_2etra_27__00,V_27a0_27),s__02(c_27type_2epresLang_2eexp_27__00,V_27a1_27))))) = s__02(c_27type_2enum_2enum_27__00,c_27const_2earithmetic_2e_2b_27__02(s__02(c_27type_2enum_2enum_27__00,c_27const_2earithmetic_2eNUMERAL_27__01(s__02(c_27type_2enum_2enum_27__00,c_27const_2earithmetic_2eBIT1_27__01(s__02(c_27type_2enum_2enum_27__00,c_27const_2earithmetic_2eZERO_27__00))))),s__02(c_27type_2enum_2enum_27__00,c_27const_2earithmetic_2e_2b_27__02(s__02(c_27type_2enum_2enum_27__00,c_27const_2ebackend__common_2etra__size_27__01(s__02(c_27type_2ebackend__common_2etra_27__00,V_27a0_27))),s__02(c_27type_2enum_2enum_27__00,c_27const_2epresLang_2eexp__size_27__01(s__02(c_27type_2epresLang_2eexp_27__00,V_27a1_27)))))))
& s__02(c_27type_2enum_2enum_27__00,c_27const_2epresLang_2eexp1__size_27__01(s__02(c_27type_2elist_2elist_27__01(c_27type_2epair_2eprod_27__02(c_27type_2elist_2elist_27__01(c_27type_2estring_2echar_27__00),c_27type_2epair_2eprod_27__02(c_27type_2elist_2elist_27__01(c_27type_2elist_2elist_27__01(c_27type_2estring_2echar_27__00)),c_27type_2epresLang_2eexp_27__00))),c_27const_2elist_2eNIL_27__00))) = s__02(c_27type_2enum_2enum_27__00,c_27const_2enum_2e0_27__00)
& ! [V_27a0_27,V_27a1_27] : s__02(c_27type_2enum_2enum_27__00,c_27const_2epresLang_2eexp1__size_27__01(s__02(c_27type_2elist_2elist_27__01(c_27type_2epair_2eprod_27__02(c_27type_2elist_2elist_27__01(c_27type_2estring_2echar_27__00),c_27type_2epair_2eprod_27__02(c_27type_2elist_2elist_27__01(c_27type_2elist_2elist_27__01(c_27type_2estring_2echar_27__00)),c_27type_2epresLang_2eexp_27__00))),c_27const_2elist_2eCONS_27__02(s__02(c_27type_2epair_2eprod_27__02(c_27type_2elist_2elist_27__01(c_27type_2estring_2echar_27__00),c_27type_2epair_2eprod_27__02(c_27type_2elist_2elist_27__01(c_27type_2elist_2elist_27__01(c_27type_2estring_2echar_27__00)),c_27type_2epresLang_2eexp_27__00)),V_27a0_27),s__02(c_27type_2elist_2elist_27__01(c_27type_2epair_2eprod_27__02(c_27type_2elist_2elist_27__01(c_27type_2estring_2echar_27__00),c_27type_2epair_2eprod_27__02(c_27type_2elist_2elist_27__01(c_27type_2elist_2elist_27__01(c_27type_2estring_2echar_27__00)),c_27type_2epresLang_2eexp_27__00))),V_27a1_27))))) = s__02(c_27type_2enum_2enum_27__00,c_27const_2earithmetic_2e_2b_27__02(s__02(c_27type_2enum_2enum_27__00,c_27const_2earithmetic_2eNUMERAL_27__01(s__02(c_27type_2enum_2enum_27__00,c_27const_2earithmetic_2eBIT1_27__01(s__02(c_27type_2enum_2enum_27__00,c_27const_2earithmetic_2eZERO_27__00))))),s__02(c_27type_2enum_2enum_27__00,c_27const_2earithmetic_2e_2b_27__02(s__02(c_27type_2enum_2enum_27__00,c_27const_2epresLang_2eexp2__size_27__01(s__02(c_27type_2epair_2eprod_27__02(c_27type_2elist_2elist_27__01(c_27type_2estring_2echar_27__00),c_27type_2epair_2eprod_27__02(c_27type_2elist_2elist_27__01(c_27type_2elist_2elist_27__01(c_27type_2estring_2echar_27__00)),c_27type_2epresLang_2eexp_27__00)),V_27a0_27))),s__02(c_27type_2enum_2enum_27__00,c_27const_2epresLang_2eexp1__size_27__01(s__02(c_27type_2elist_2elist_27__01(c_27type_2epair_2eprod_27__02(c_27type_2elist_2elist_27__01(c_27type_2estring_2echar_27__00),c_27type_2epair_2eprod_27__02(c_27type_2elist_2elist_27__01(c_27type_2elist_2elist_27__01(c_27type_2estring_2echar_27__00)),c_27type_2epresLang_2eexp_27__00))),V_27a1_27)))))))
& ! [V_27a0_27,V_27a1_27] : s__02(c_27type_2enum_2enum_27__00,c_27const_2epresLang_2eexp2__size_27__01(s__02(c_27type_2epair_2eprod_27__02(c_27type_2elist_2elist_27__01(c_27type_2estring_2echar_27__00),c_27type_2epair_2eprod_27__02(c_27type_2elist_2elist_27__01(c_27type_2elist_2elist_27__01(c_27type_2estring_2echar_27__00)),c_27type_2epresLang_2eexp_27__00)),c_27const_2epair_2e_2c_27__02(s__02(c_27type_2elist_2elist_27__01(c_27type_2estring_2echar_27__00),V_27a0_27),s__02(c_27type_2epair_2eprod_27__02(c_27type_2elist_2elist_27__01(c_27type_2elist_2elist_27__01(c_27type_2estring_2echar_27__00)),c_27type_2epresLang_2eexp_27__00),V_27a1_27))))) = s__02(c_27type_2enum_2enum_27__00,c_27const_2earithmetic_2e_2b_27__02(s__02(c_27type_2enum_2enum_27__00,c_27const_2earithmetic_2eNUMERAL_27__01(s__02(c_27type_2enum_2enum_27__00,c_27const_2earithmetic_2eBIT1_27__01(s__02(c_27type_2enum_2enum_27__00,c_27const_2earithmetic_2eZERO_27__00))))),s__02(c_27type_2enum_2enum_27__00,c_27const_2earithmetic_2e_2b_27__02(s__02(c_27type_2enum_2enum_27__00,chapp__02(s__02(cfun__02(c_27type_2elist_2elist_27__01(c_27type_2estring_2echar_27__00),c_27type_2enum_2enum_27__00),c_27const_2elist_2elist__size_27__01(s__02(cfun__02(c_27type_2estring_2echar_27__00,c_27type_2enum_2enum_27__00),c_27const_2estring_2echar__size_27__00))),s__02(c_27type_2elist_2elist_27__01(c_27type_2estring_2echar_27__00),V_27a0_27))),s__02(c_27type_2enum_2enum_27__00,c_27const_2epresLang_2eexp7__size_27__01(s__02(c_27type_2epair_2eprod_27__02(c_27type_2elist_2elist_27__01(c_27type_2elist_2elist_27__01(c_27type_2estring_2echar_27__00)),c_27type_2epresLang_2eexp_27__00),V_27a1_27)))))))
& s__02(c_27type_2enum_2enum_27__00,c_27const_2epresLang_2eexp3__size_27__01(s__02(c_27type_2elist_2elist_27__01(c_27type_2epair_2eprod_27__02(c_27type_2elist_2elist_27__01(c_27type_2estring_2echar_27__00),c_27type_2epair_2eprod_27__02(c_27type_2elist_2elist_27__01(c_27type_2estring_2echar_27__00),c_27type_2epresLang_2eexp_27__00))),c_27const_2elist_2eNIL_27__00))) = s__02(c_27type_2enum_2enum_27__00,c_27const_2enum_2e0_27__00)
& ! [V_27a0_27,V_27a1_27] : s__02(c_27type_2enum_2enum_27__00,c_27const_2epresLang_2eexp3__size_27__01(s__02(c_27type_2elist_2elist_27__01(c_27type_2epair_2eprod_27__02(c_27type_2elist_2elist_27__01(c_27type_2estring_2echar_27__00),c_27type_2epair_2eprod_27__02(c_27type_2elist_2elist_27__01(c_27type_2estring_2echar_27__00),c_27type_2epresLang_2eexp_27__00))),c_27const_2elist_2eCONS_27__02(s__02(c_27type_2epair_2eprod_27__02(c_27type_2elist_2elist_27__01(c_27type_2estring_2echar_27__00),c_27type_2epair_2eprod_27__02(c_27type_2elist_2elist_27__01(c_27type_2estring_2echar_27__00),c_27type_2epresLang_2eexp_27__00)),V_27a0_27),s__02(c_27type_2elist_2elist_27__01(c_27type_2epair_2eprod_27__02(c_27type_2elist_2elist_27__01(c_27type_2estring_2echar_27__00),c_27type_2epair_2eprod_27__02(c_27type_2elist_2elist_27__01(c_27type_2estring_2echar_27__00),c_27type_2epresLang_2eexp_27__00))),V_27a1_27))))) = s__02(c_27type_2enum_2enum_27__00,c_27const_2earithmetic_2e_2b_27__02(s__02(c_27type_2enum_2enum_27__00,c_27const_2earithmetic_2eNUMERAL_27__01(s__02(c_27type_2enum_2enum_27__00,c_27const_2earithmetic_2eBIT1_27__01(s__02(c_27type_2enum_2enum_27__00,c_27const_2earithmetic_2eZERO_27__00))))),s__02(c_27type_2enum_2enum_27__00,c_27const_2earithmetic_2e_2b_27__02(s__02(c_27type_2enum_2enum_27__00,c_27const_2epresLang_2eexp5__size_27__01(s__02(c_27type_2epair_2eprod_27__02(c_27type_2elist_2elist_27__01(c_27type_2estring_2echar_27__00),c_27type_2epair_2eprod_27__02(c_27type_2elist_2elist_27__01(c_27type_2estring_2echar_27__00),c_27type_2epresLang_2eexp_27__00)),V_27a0_27))),s__02(c_27type_2enum_2enum_27__00,c_27const_2epresLang_2eexp3__size_27__01(s__02(c_27type_2elist_2elist_27__01(c_27type_2epair_2eprod_27__02(c_27type_2elist_2elist_27__01(c_27type_2estring_2echar_27__00),c_27type_2epair_2eprod_27__02(c_27type_2elist_2elist_27__01(c_27type_2estring_2echar_27__00),c_27type_2epresLang_2eexp_27__00))),V_27a1_27)))))))
& s__02(c_27type_2enum_2enum_27__00,c_27const_2epresLang_2eexp4__size_27__01(s__02(c_27type_2elist_2elist_27__01(c_27type_2epair_2eprod_27__02(c_27type_2enum_2enum_27__00,c_27type_2epair_2eprod_27__02(c_27type_2elist_2elist_27__01(c_27type_2elist_2elist_27__01(c_27type_2estring_2echar_27__00)),c_27type_2epresLang_2eexp_27__00))),c_27const_2elist_2eNIL_27__00))) = s__02(c_27type_2enum_2enum_27__00,c_27const_2enum_2e0_27__00)
& ! [V_27a0_27,V_27a1_27] : s__02(c_27type_2enum_2enum_27__00,c_27const_2epresLang_2eexp4__size_27__01(s__02(c_27type_2elist_2elist_27__01(c_27type_2epair_2eprod_27__02(c_27type_2enum_2enum_27__00,c_27type_2epair_2eprod_27__02(c_27type_2elist_2elist_27__01(c_27type_2elist_2elist_27__01(c_27type_2estring_2echar_27__00)),c_27type_2epresLang_2eexp_27__00))),c_27const_2elist_2eCONS_27__02(s__02(c_27type_2epair_2eprod_27__02(c_27type_2enum_2enum_27__00,c_27type_2epair_2eprod_27__02(c_27type_2elist_2elist_27__01(c_27type_2elist_2elist_27__01(c_27type_2estring_2echar_27__00)),c_27type_2epresLang_2eexp_27__00)),V_27a0_27),s__02(c_27type_2elist_2elist_27__01(c_27type_2epair_2eprod_27__02(c_27type_2enum_2enum_27__00,c_27type_2epair_2eprod_27__02(c_27type_2elist_2elist_27__01(c_27type_2elist_2elist_27__01(c_27type_2estring_2echar_27__00)),c_27type_2epresLang_2eexp_27__00))),V_27a1_27))))) = s__02(c_27type_2enum_2enum_27__00,c_27const_2earithmetic_2e_2b_27__02(s__02(c_27type_2enum_2enum_27__00,c_27const_2earithmetic_2eNUMERAL_27__01(s__02(c_27type_2enum_2enum_27__00,c_27const_2earithmetic_2eBIT1_27__01(s__02(c_27type_2enum_2enum_27__00,c_27const_2earithmetic_2eZERO_27__00))))),s__02(c_27type_2enum_2enum_27__00,c_27const_2earithmetic_2e_2b_27__02(s__02(c_27type_2enum_2enum_27__00,c_27const_2epresLang_2eexp6__size_27__01(s__02(c_27type_2epair_2eprod_27__02(c_27type_2enum_2enum_27__00,c_27type_2epair_2eprod_27__02(c_27type_2elist_2elist_27__01(c_27type_2elist_2elist_27__01(c_27type_2estring_2echar_27__00)),c_27type_2epresLang_2eexp_27__00)),V_27a0_27))),s__02(c_27type_2enum_2enum_27__00,c_27const_2epresLang_2eexp4__size_27__01(s__02(c_27type_2elist_2elist_27__01(c_27type_2epair_2eprod_27__02(c_27type_2enum_2enum_27__00,c_27type_2epair_2eprod_27__02(c_27type_2elist_2elist_27__01(c_27type_2elist_2elist_27__01(c_27type_2estring_2echar_27__00)),c_27type_2epresLang_2eexp_27__00))),V_27a1_27)))))))
& ! [V_27a0_27,V_27a1_27] : s__02(c_27type_2enum_2enum_27__00,c_27const_2epresLang_2eexp5__size_27__01(s__02(c_27type_2epair_2eprod_27__02(c_27type_2elist_2elist_27__01(c_27type_2estring_2echar_27__00),c_27type_2epair_2eprod_27__02(c_27type_2elist_2elist_27__01(c_27type_2estring_2echar_27__00),c_27type_2epresLang_2eexp_27__00)),c_27const_2epair_2e_2c_27__02(s__02(c_27type_2elist_2elist_27__01(c_27type_2estring_2echar_27__00),V_27a0_27),s__02(c_27type_2epair_2eprod_27__02(c_27type_2elist_2elist_27__01(c_27type_2estring_2echar_27__00),c_27type_2epresLang_2eexp_27__00),V_27a1_27))))) = s__02(c_27type_2enum_2enum_27__00,c_27const_2earithmetic_2e_2b_27__02(s__02(c_27type_2enum_2enum_27__00,c_27const_2earithmetic_2eNUMERAL_27__01(s__02(c_27type_2enum_2enum_27__00,c_27const_2earithmetic_2eBIT1_27__01(s__02(c_27type_2enum_2enum_27__00,c_27const_2earithmetic_2eZERO_27__00))))),s__02(c_27type_2enum_2enum_27__00,c_27const_2earithmetic_2e_2b_27__02(s__02(c_27type_2enum_2enum_27__00,chapp__02(s__02(cfun__02(c_27type_2elist_2elist_27__01(c_27type_2estring_2echar_27__00),c_27type_2enum_2enum_27__00),c_27const_2elist_2elist__size_27__01(s__02(cfun__02(c_27type_2estring_2echar_27__00,c_27type_2enum_2enum_27__00),c_27const_2estring_2echar__size_27__00))),s__02(c_27type_2elist_2elist_27__01(c_27type_2estring_2echar_27__00),V_27a0_27))),s__02(c_27type_2enum_2enum_27__00,c_27const_2epresLang_2eexp9__size_27__01(s__02(c_27type_2epair_2eprod_27__02(c_27type_2elist_2elist_27__01(c_27type_2estring_2echar_27__00),c_27type_2epresLang_2eexp_27__00),V_27a1_27)))))))
& ! [V_27a0_27,V_27a1_27] : s__02(c_27type_2enum_2enum_27__00,c_27const_2epresLang_2eexp6__size_27__01(s__02(c_27type_2epair_2eprod_27__02(c_27type_2enum_2enum_27__00,c_27type_2epair_2eprod_27__02(c_27type_2elist_2elist_27__01(c_27type_2elist_2elist_27__01(c_27type_2estring_2echar_27__00)),c_27type_2epresLang_2eexp_27__00)),c_27const_2epair_2e_2c_27__02(s__02(c_27type_2enum_2enum_27__00,V_27a0_27),s__02(c_27type_2epair_2eprod_27__02(c_27type_2elist_2elist_27__01(c_27type_2elist_2elist_27__01(c_27type_2estring_2echar_27__00)),c_27type_2epresLang_2eexp_27__00),V_27a1_27))))) = s__02(c_27type_2enum_2enum_27__00,c_27const_2earithmetic_2e_2b_27__02(s__02(c_27type_2enum_2enum_27__00,c_27const_2earithmetic_2eNUMERAL_27__01(s__02(c_27type_2enum_2enum_27__00,c_27const_2earithmetic_2eBIT1_27__01(s__02(c_27type_2enum_2enum_27__00,c_27const_2earithmetic_2eZERO_27__00))))),s__02(c_27type_2enum_2enum_27__00,c_27const_2earithmetic_2e_2b_27__02(s__02(c_27type_2enum_2enum_27__00,V_27a0_27),s__02(c_27type_2enum_2enum_27__00,c_27const_2epresLang_2eexp7__size_27__01(s__02(c_27type_2epair_2eprod_27__02(c_27type_2elist_2elist_27__01(c_27type_2elist_2elist_27__01(c_27type_2estring_2echar_27__00)),c_27type_2epresLang_2eexp_27__00),V_27a1_27)))))))
& ! [V_27a0_27,V_27a1_27] : s__02(c_27type_2enum_2enum_27__00,c_27const_2epresLang_2eexp7__size_27__01(s__02(c_27type_2epair_2eprod_27__02(c_27type_2elist_2elist_27__01(c_27type_2elist_2elist_27__01(c_27type_2estring_2echar_27__00)),c_27type_2epresLang_2eexp_27__00),c_27const_2epair_2e_2c_27__02(s__02(c_27type_2elist_2elist_27__01(c_27type_2elist_2elist_27__01(c_27type_2estring_2echar_27__00)),V_27a0_27),s__02(c_27type_2epresLang_2eexp_27__00,V_27a1_27))))) = s__02(c_27type_2enum_2enum_27__00,c_27const_2earithmetic_2e_2b_27__02(s__02(c_27type_2enum_2enum_27__00,c_27const_2earithmetic_2eNUMERAL_27__01(s__02(c_27type_2enum_2enum_27__00,c_27const_2earithmetic_2eBIT1_27__01(s__02(c_27type_2enum_2enum_27__00,c_27const_2earithmetic_2eZERO_27__00))))),s__02(c_27type_2enum_2enum_27__00,c_27const_2earithmetic_2e_2b_27__02(s__02(c_27type_2enum_2enum_27__00,chapp__02(s__02(cfun__02(c_27type_2elist_2elist_27__01(c_27type_2elist_2elist_27__01(c_27type_2estring_2echar_27__00)),c_27type_2enum_2enum_27__00),c_27const_2elist_2elist__size_27__01(s__02(cfun__02(c_27type_2elist_2elist_27__01(c_27type_2estring_2echar_27__00),c_27type_2enum_2enum_27__00),c_27const_2elist_2elist__size_27__01(s__02(cfun__02(c_27type_2estring_2echar_27__00,c_27type_2enum_2enum_27__00),c_27const_2estring_2echar__size_27__00))))),s__02(c_27type_2elist_2elist_27__01(c_27type_2elist_2elist_27__01(c_27type_2estring_2echar_27__00)),V_27a0_27))),s__02(c_27type_2enum_2enum_27__00,c_27const_2epresLang_2eexp__size_27__01(s__02(c_27type_2epresLang_2eexp_27__00,V_27a1_27)))))))
& s__02(c_27type_2enum_2enum_27__00,c_27const_2epresLang_2eexp8__size_27__01(s__02(c_27type_2elist_2elist_27__01(c_27type_2epair_2eprod_27__02(c_27type_2elist_2elist_27__01(c_27type_2estring_2echar_27__00),c_27type_2epresLang_2eexp_27__00)),c_27const_2elist_2eNIL_27__00))) = s__02(c_27type_2enum_2enum_27__00,c_27const_2enum_2e0_27__00)
& ! [V_27a0_27,V_27a1_27] : s__02(c_27type_2enum_2enum_27__00,c_27const_2epresLang_2eexp8__size_27__01(s__02(c_27type_2elist_2elist_27__01(c_27type_2epair_2eprod_27__02(c_27type_2elist_2elist_27__01(c_27type_2estring_2echar_27__00),c_27type_2epresLang_2eexp_27__00)),c_27const_2elist_2eCONS_27__02(s__02(c_27type_2epair_2eprod_27__02(c_27type_2elist_2elist_27__01(c_27type_2estring_2echar_27__00),c_27type_2epresLang_2eexp_27__00),V_27a0_27),s__02(c_27type_2elist_2elist_27__01(c_27type_2epair_2eprod_27__02(c_27type_2elist_2elist_27__01(c_27type_2estring_2echar_27__00),c_27type_2epresLang_2eexp_27__00)),V_27a1_27))))) = s__02(c_27type_2enum_2enum_27__00,c_27const_2earithmetic_2e_2b_27__02(s__02(c_27type_2enum_2enum_27__00,c_27const_2earithmetic_2eNUMERAL_27__01(s__02(c_27type_2enum_2enum_27__00,c_27const_2earithmetic_2eBIT1_27__01(s__02(c_27type_2enum_2enum_27__00,c_27const_2earithmetic_2eZERO_27__00))))),s__02(c_27type_2enum_2enum_27__00,c_27const_2earithmetic_2e_2b_27__02(s__02(c_27type_2enum_2enum_27__00,c_27const_2epresLang_2eexp9__size_27__01(s__02(c_27type_2epair_2eprod_27__02(c_27type_2elist_2elist_27__01(c_27type_2estring_2echar_27__00),c_27type_2epresLang_2eexp_27__00),V_27a0_27))),s__02(c_27type_2enum_2enum_27__00,c_27const_2epresLang_2eexp8__size_27__01(s__02(c_27type_2elist_2elist_27__01(c_27type_2epair_2eprod_27__02(c_27type_2elist_2elist_27__01(c_27type_2estring_2echar_27__00),c_27type_2epresLang_2eexp_27__00)),V_27a1_27)))))))
& ! [V_27a0_27,V_27a1_27] : s__02(c_27type_2enum_2enum_27__00,c_27const_2epresLang_2eexp9__size_27__01(s__02(c_27type_2epair_2eprod_27__02(c_27type_2elist_2elist_27__01(c_27type_2estring_2echar_27__00),c_27type_2epresLang_2eexp_27__00),c_27const_2epair_2e_2c_27__02(s__02(c_27type_2elist_2elist_27__01(c_27type_2estring_2echar_27__00),V_27a0_27),s__02(c_27type_2epresLang_2eexp_27__00,V_27a1_27))))) = s__02(c_27type_2enum_2enum_27__00,c_27const_2earithmetic_2e_2b_27__02(s__02(c_27type_2enum_2enum_27__00,c_27const_2earithmetic_2eNUMERAL_27__01(s__02(c_27type_2enum_2enum_27__00,c_27const_2earithmetic_2eBIT1_27__01(s__02(c_27type_2enum_2enum_27__00,c_27const_2earithmetic_2eZERO_27__00))))),s__02(c_27type_2enum_2enum_27__00,c_27const_2earithmetic_2e_2b_27__02(s__02(c_27type_2enum_2enum_27__00,chapp__02(s__02(cfun__02(c_27type_2elist_2elist_27__01(c_27type_2estring_2echar_27__00),c_27type_2enum_2enum_27__00),c_27const_2elist_2elist__size_27__01(s__02(cfun__02(c_27type_2estring_2echar_27__00,c_27type_2enum_2enum_27__00),c_27const_2estring_2echar__size_27__00))),s__02(c_27type_2elist_2elist_27__01(c_27type_2estring_2echar_27__00),V_27a0_27))),s__02(c_27type_2enum_2enum_27__00,c_27const_2epresLang_2eexp__size_27__01(s__02(c_27type_2epresLang_2eexp_27__00,V_27a1_27)))))))
& s__02(c_27type_2enum_2enum_27__00,c_27const_2epresLang_2eexp10__size_27__01(s__02(c_27type_2elist_2elist_27__01(c_27type_2epair_2eprod_27__02(c_27type_2epresLang_2eexp_27__00,c_27type_2epresLang_2eexp_27__00)),c_27const_2elist_2eNIL_27__00))) = s__02(c_27type_2enum_2enum_27__00,c_27const_2enum_2e0_27__00)
& ! [V_27a0_27,V_27a1_27] : s__02(c_27type_2enum_2enum_27__00,c_27const_2epresLang_2eexp10__size_27__01(s__02(c_27type_2elist_2elist_27__01(c_27type_2epair_2eprod_27__02(c_27type_2epresLang_2eexp_27__00,c_27type_2epresLang_2eexp_27__00)),c_27const_2elist_2eCONS_27__02(s__02(c_27type_2epair_2eprod_27__02(c_27type_2epresLang_2eexp_27__00,c_27type_2epresLang_2eexp_27__00),V_27a0_27),s__02(c_27type_2elist_2elist_27__01(c_27type_2epair_2eprod_27__02(c_27type_2epresLang_2eexp_27__00,c_27type_2epresLang_2eexp_27__00)),V_27a1_27))))) = s__02(c_27type_2enum_2enum_27__00,c_27const_2earithmetic_2e_2b_27__02(s__02(c_27type_2enum_2enum_27__00,c_27const_2earithmetic_2eNUMERAL_27__01(s__02(c_27type_2enum_2enum_27__00,c_27const_2earithmetic_2eBIT1_27__01(s__02(c_27type_2enum_2enum_27__00,c_27const_2earithmetic_2eZERO_27__00))))),s__02(c_27type_2enum_2enum_27__00,c_27const_2earithmetic_2e_2b_27__02(s__02(c_27type_2enum_2enum_27__00,c_27const_2epresLang_2eexp11__size_27__01(s__02(c_27type_2epair_2eprod_27__02(c_27type_2epresLang_2eexp_27__00,c_27type_2epresLang_2eexp_27__00),V_27a0_27))),s__02(c_27type_2enum_2enum_27__00,c_27const_2epresLang_2eexp10__size_27__01(s__02(c_27type_2elist_2elist_27__01(c_27type_2epair_2eprod_27__02(c_27type_2epresLang_2eexp_27__00,c_27type_2epresLang_2eexp_27__00)),V_27a1_27)))))))
& ! [V_27a0_27,V_27a1_27] : s__02(c_27type_2enum_2enum_27__00,c_27const_2epresLang_2eexp11__size_27__01(s__02(c_27type_2epair_2eprod_27__02(c_27type_2epresLang_2eexp_27__00,c_27type_2epresLang_2eexp_27__00),c_27const_2epair_2e_2c_27__02(s__02(c_27type_2epresLang_2eexp_27__00,V_27a0_27),s__02(c_27type_2epresLang_2eexp_27__00,V_27a1_27))))) = s__02(c_27type_2enum_2enum_27__00,c_27const_2earithmetic_2e_2b_27__02(s__02(c_27type_2enum_2enum_27__00,c_27const_2earithmetic_2eNUMERAL_27__01(s__02(c_27type_2enum_2enum_27__00,c_27const_2earithmetic_2eBIT1_27__01(s__02(c_27type_2enum_2enum_27__00,c_27const_2earithmetic_2eZERO_27__00))))),s__02(c_27type_2enum_2enum_27__00,c_27const_2earithmetic_2e_2b_27__02(s__02(c_27type_2enum_2enum_27__00,c_27const_2epresLang_2eexp__size_27__01(s__02(c_27type_2epresLang_2eexp_27__00,V_27a0_27))),s__02(c_27type_2enum_2enum_27__00,c_27const_2epresLang_2eexp__size_27__01(s__02(c_27type_2epresLang_2eexp_27__00,V_27a1_27)))))))
& s__02(c_27type_2enum_2enum_27__00,c_27const_2epresLang_2eexp12__size_27__01(s__02(c_27type_2elist_2elist_27__01(c_27type_2epresLang_2eexp_27__00),c_27const_2elist_2eNIL_27__00))) = s__02(c_27type_2enum_2enum_27__00,c_27const_2enum_2e0_27__00)
& ! [V_27a0_27,V_27a1_27] : s__02(c_27type_2enum_2enum_27__00,c_27const_2epresLang_2eexp12__size_27__01(s__02(c_27type_2elist_2elist_27__01(c_27type_2epresLang_2eexp_27__00),c_27const_2elist_2eCONS_27__02(s__02(c_27type_2epresLang_2eexp_27__00,V_27a0_27),s__02(c_27type_2elist_2elist_27__01(c_27type_2epresLang_2eexp_27__00),V_27a1_27))))) = s__02(c_27type_2enum_2enum_27__00,c_27const_2earithmetic_2e_2b_27__02(s__02(c_27type_2enum_2enum_27__00,c_27const_2earithmetic_2eNUMERAL_27__01(s__02(c_27type_2enum_2enum_27__00,c_27const_2earithmetic_2eBIT1_27__01(s__02(c_27type_2enum_2enum_27__00,c_27const_2earithmetic_2eZERO_27__00))))),s__02(c_27type_2enum_2enum_27__00,c_27const_2earithmetic_2e_2b_27__02(s__02(c_27type_2enum_2enum_27__00,c_27const_2epresLang_2eexp__size_27__01(s__02(c_27type_2epresLang_2eexp_27__00,V_27a0_27))),s__02(c_27type_2enum_2enum_27__00,c_27const_2epresLang_2eexp12__size_27__01(s__02(c_27type_2elist_2elist_27__01(c_27type_2epresLang_2eexp_27__00),V_27a1_27))))))) ) ) ).
fof(conjecture,conjecture,
! [V_27xs_27,V_27x_27] :
( p__01(s__02(cbool__00,c_27const_2ebool_2eIN_27__02(s__02(c_27type_2epresLang_2eexp_27__00,V_27x_27),s__02(cfun__02(c_27type_2epresLang_2eexp_27__00,cbool__00),c_27const_2elist_2eLIST__TO__SET_27__01(s__02(c_27type_2elist_2elist_27__01(c_27type_2epresLang_2eexp_27__00),V_27xs_27))))))
=> p__01(s__02(cbool__00,c_27const_2eprim__rec_2e_3c_27__02(s__02(c_27type_2enum_2enum_27__00,c_27const_2epresLang_2eexp__size_27__01(s__02(c_27type_2epresLang_2eexp_27__00,V_27x_27))),s__02(c_27type_2enum_2enum_27__00,c_27const_2epresLang_2eexp12__size_27__01(s__02(c_27type_2elist_2elist_27__01(c_27type_2epresLang_2eexp_27__00),V_27xs_27)))))) ) ).
%------------------------------------------------------------------------------