TPTP Problem File: SWW929+1.p
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%------------------------------------------------------------------------------
% File : SWW929+1 : TPTP v8.2.0. Released v7.3.0.
% Domain : Software Verification
% Problem : bvl_inlineProof__36__tactictoe_prove_35__dep
% Version : Especial.
% English :
% Refs : [Kum18] Kumar (2018), Email to Geoff Sutcliffe
% Source : [Kum18]
% Names : bvl_inlineProof__36__tactictoe_prove_35__dep [Kum18]
% Status : CounterSatisfiable
% Rating : 0.00 v8.2.0, 0.33 v8.1.0, 0.25 v7.5.0, 0.60 v7.4.0, 0.33 v7.3.0
% Syntax : Number of formulae : 32 ( 6 unt; 0 def)
% Number of atoms : 189 ( 98 equ)
% Maximal formula atoms : 58 ( 5 avg)
% Number of connectives : 185 ( 28 ~; 16 |; 67 &)
% ( 26 <=>; 48 =>; 0 <=; 0 <~>)
% Maximal formula depth : 26 ( 7 avg)
% Maximal term depth : 14 ( 2 avg)
% Number of predicates : 2 ( 1 usr; 0 prp; 1-2 aty)
% Number of functors : 31 ( 31 usr; 9 con; 0-3 aty)
% Number of variables : 201 ( 177 !; 24 ?)
% SPC : FOF_CSA_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.IMP_ANTISYM_AX',axiom,
! [V_27t1_27,V_27t2_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_27t2_27))
=> p__01(s__02(cbool__00,V_27t1_27)) )
=> s__02(cbool__00,V_27t1_27) = s__02(cbool__00,V_27t2_27) ) ) ).
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.EXCLUDED_MIDDLE',axiom,
! [V_27t_27] :
( p__01(s__02(cbool__00,V_27t_27))
| ~ p__01(s__02(cbool__00,V_27t_27)) ) ).
fof('thm.bool.LET_THM',axiom,
! [V_27B_27,V_27A_27,V_27f_27,V_27x_27] : s__02(V_27B_27,c_27const_2ebool_2eLET_27__02(s__02(cfun__02(V_27A_27,V_27B_27),V_27f_27),s__02(V_27A_27,V_27x_27))) = s__02(V_27B_27,chapp__02(s__02(cfun__02(V_27A_27,V_27B_27),V_27f_27),s__02(V_27A_27,V_27x_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.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.REFL_CLAUSE',axiom,
! [V_27A_27,V_27x_27] :
( s__02(V_27A_27,V_27x_27) = s__02(V_27A_27,V_27x_27)
<=> 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.COND_CLAUSES',axiom,
! [V_27A_27,V_27t1_27,V_27t2_27] :
( s__02(V_27A_27,c_27const_2ebool_2eCOND_27__03(s__02(cbool__00,cT__00),s__02(V_27A_27,V_27t1_27),s__02(V_27A_27,V_27t2_27))) = s__02(V_27A_27,V_27t1_27)
& s__02(V_27A_27,c_27const_2ebool_2eCOND_27__03(s__02(cbool__00,cF__00),s__02(V_27A_27,V_27t1_27),s__02(V_27A_27,V_27t2_27))) = s__02(V_27A_27,V_27t2_27) ) ).
fof('thm.bool.DISJ_ASSOC',axiom,
! [V_27A_270,V_27B_270,V_27C_27] :
( ( 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_27C_27)) )
<=> ( 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_27C_27)) ) ) ).
fof('thm.bool.DISJ_COMM',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_27B_270))
| p__01(s__02(cbool__00,V_27A_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.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.bool.COND_CONG',axiom,
! [V_27A_27,V_27P_27,V_27Q_27,V_27x_27,V_27x_7c39_7c_27,V_27y_27,V_27y_7c39_7c_27] :
( ( s__02(cbool__00,V_27P_27) = s__02(cbool__00,V_27Q_27)
& ( p__01(s__02(cbool__00,V_27Q_27))
=> s__02(V_27A_27,V_27x_27) = s__02(V_27A_27,V_27x_7c39_7c_27) )
& ( ~ p__01(s__02(cbool__00,V_27Q_27))
=> s__02(V_27A_27,V_27y_27) = s__02(V_27A_27,V_27y_7c39_7c_27) ) )
=> s__02(V_27A_27,c_27const_2ebool_2eCOND_27__03(s__02(cbool__00,V_27P_27),s__02(V_27A_27,V_27x_27),s__02(V_27A_27,V_27y_27))) = s__02(V_27A_27,c_27const_2ebool_2eCOND_27__03(s__02(cbool__00,V_27Q_27),s__02(V_27A_27,V_27x_7c39_7c_27),s__02(V_27A_27,V_27y_7c39_7c_27))) ) ).
fof('thm.bool.UNWIND_FORALL_THM2',axiom,
! [V_27A_27,V_27f_27,V_27v_27] :
( ! [V_27x_27] :
( s__02(V_27A_27,V_27x_27) = s__02(V_27A_27,V_27v_27)
=> p__01(s__02(cbool__00,chapp__02(s__02(cfun__02(V_27A_27,cbool__00),V_27f_27),s__02(V_27A_27,V_27x_27)))) )
<=> p__01(s__02(cbool__00,chapp__02(s__02(cfun__02(V_27A_27,cbool__00),V_27f_27),s__02(V_27A_27,V_27v_27)))) ) ).
fof('thm.bool.bool_case_thm',axiom,
! [V_27A_27] :
( ! [V_27t1_27,V_27t2_27] : s__02(V_27A_27,c_27const_2ebool_2eCOND_27__03(s__02(cbool__00,cT__00),s__02(V_27A_27,V_27t1_27),s__02(V_27A_27,V_27t2_27))) = s__02(V_27A_27,V_27t1_27)
& ! [V_27t1_27,V_27t2_27] : s__02(V_27A_27,c_27const_2ebool_2eCOND_27__03(s__02(cbool__00,cF__00),s__02(V_27A_27,V_27t1_27),s__02(V_27A_27,V_27t2_27))) = s__02(V_27A_27,V_27t2_27) ) ).
fof('thm.combin.I_THM',axiom,
! [V_27A_27,V_27x_27] : s__02(V_27A_27,c_27const_2ecombin_2eI_27__01(s__02(V_27A_27,V_27x_27))) = s__02(V_27A_27,V_27x_27) ).
fof('thm.arithmetic.SUB_0',axiom,
! [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_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_2d_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) ) ).
fof('thm.arithmetic.SUB_EQ_0',axiom,
! [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,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_2e0_27__00)
<=> 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)))) ) ).
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.bvl.exp_nchotomy',axiom,
! [V_27ee_27] :
( ? [V_27n_27] : s__02(c_27type_2ebvl_2eexp_27__00,V_27ee_27) = s__02(c_27type_2ebvl_2eexp_27__00,c_27const_2ebvl_2eVar_27__01(s__02(c_27type_2enum_2enum_27__00,V_27n_27)))
| ? [V_27e_27,V_27e0_27,V_27e1_27] : s__02(c_27type_2ebvl_2eexp_27__00,V_27ee_27) = s__02(c_27type_2ebvl_2eexp_27__00,c_27const_2ebvl_2eIf_27__03(s__02(c_27type_2ebvl_2eexp_27__00,V_27e_27),s__02(c_27type_2ebvl_2eexp_27__00,V_27e0_27),s__02(c_27type_2ebvl_2eexp_27__00,V_27e1_27)))
| ? [V_27l_27,V_27e_27] : s__02(c_27type_2ebvl_2eexp_27__00,V_27ee_27) = s__02(c_27type_2ebvl_2eexp_27__00,c_27const_2ebvl_2eLet_27__02(s__02(c_27type_2elist_2elist_27__01(c_27type_2ebvl_2eexp_27__00),V_27l_27),s__02(c_27type_2ebvl_2eexp_27__00,V_27e_27)))
| ? [V_27e_27] : s__02(c_27type_2ebvl_2eexp_27__00,V_27ee_27) = s__02(c_27type_2ebvl_2eexp_27__00,c_27const_2ebvl_2eRaise_27__01(s__02(c_27type_2ebvl_2eexp_27__00,V_27e_27)))
| ? [V_27e_27,V_27e0_27] : s__02(c_27type_2ebvl_2eexp_27__00,V_27ee_27) = s__02(c_27type_2ebvl_2eexp_27__00,c_27const_2ebvl_2eHandle_27__02(s__02(c_27type_2ebvl_2eexp_27__00,V_27e_27),s__02(c_27type_2ebvl_2eexp_27__00,V_27e0_27)))
| ? [V_27e_27] : s__02(c_27type_2ebvl_2eexp_27__00,V_27ee_27) = s__02(c_27type_2ebvl_2eexp_27__00,c_27const_2ebvl_2eTick_27__01(s__02(c_27type_2ebvl_2eexp_27__00,V_27e_27)))
| ? [V_27n_27,V_27o_7c39_7c_27,V_27l_27] : s__02(c_27type_2ebvl_2eexp_27__00,V_27ee_27) = s__02(c_27type_2ebvl_2eexp_27__00,c_27const_2ebvl_2eCall_27__03(s__02(c_27type_2enum_2enum_27__00,V_27n_27),s__02(c_27type_2eoption_2eoption_27__01(c_27type_2enum_2enum_27__00),V_27o_7c39_7c_27),s__02(c_27type_2elist_2elist_27__01(c_27type_2ebvl_2eexp_27__00),V_27l_27)))
| ? [V_27o_7c39_7c_27,V_27l_27] : s__02(c_27type_2ebvl_2eexp_27__00,V_27ee_27) = s__02(c_27type_2ebvl_2eexp_27__00,c_27const_2ebvl_2eOp_27__02(s__02(c_27type_2eclosLang_2eop_27__00,V_27o_7c39_7c_27),s__02(c_27type_2elist_2elist_27__01(c_27type_2ebvl_2eexp_27__00),V_27l_27))) ) ).
fof('thm.bvl_inline.is_small_aux_ind',axiom,
! [V_27P_27] :
( ( ! [V_27n_27] : p__01(s__02(cbool__00,chapp__02(s__02(cfun__02(c_27type_2elist_2elist_27__01(c_27type_2ebvl_2eexp_27__00),cbool__00),chapp__02(s__02(cfun__02(c_27type_2enum_2enum_27__00,cfun__02(c_27type_2elist_2elist_27__01(c_27type_2ebvl_2eexp_27__00),cbool__00)),V_27P_27),s__02(c_27type_2enum_2enum_27__00,V_27n_27))),s__02(c_27type_2elist_2elist_27__01(c_27type_2ebvl_2eexp_27__00),c_27const_2elist_2eNIL_27__00))))
& ! [V_27n_27,V_27x_27,V_27y_27,V_27xs_27] :
( ( ! [V_27n_7c39_7c_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)
& s__02(c_27type_2enum_2enum_27__00,V_27n_7c39_7c_27) = s__02(c_27type_2enum_2enum_27__00,c_27const_2ebvl__inline_2eis__small__aux_27__02(s__02(c_27type_2enum_2enum_27__00,V_27n_27),s__02(c_27type_2elist_2elist_27__01(c_27type_2ebvl_2eexp_27__00),c_27const_2elist_2eCONS_27__02(s__02(c_27type_2ebvl_2eexp_27__00,V_27x_27),s__02(c_27type_2elist_2elist_27__01(c_27type_2ebvl_2eexp_27__00),c_27const_2elist_2eNIL_27__00)))))
& s__02(c_27type_2enum_2enum_27__00,V_27n_7c39_7c_27) != s__02(c_27type_2enum_2enum_27__00,c_27const_2enum_2e0_27__00) )
=> p__01(s__02(cbool__00,chapp__02(s__02(cfun__02(c_27type_2elist_2elist_27__01(c_27type_2ebvl_2eexp_27__00),cbool__00),chapp__02(s__02(cfun__02(c_27type_2enum_2enum_27__00,cfun__02(c_27type_2elist_2elist_27__01(c_27type_2ebvl_2eexp_27__00),cbool__00)),V_27P_27),s__02(c_27type_2enum_2enum_27__00,V_27n_7c39_7c_27))),s__02(c_27type_2elist_2elist_27__01(c_27type_2ebvl_2eexp_27__00),c_27const_2elist_2eCONS_27__02(s__02(c_27type_2ebvl_2eexp_27__00,V_27y_27),s__02(c_27type_2elist_2elist_27__01(c_27type_2ebvl_2eexp_27__00),V_27xs_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)
=> p__01(s__02(cbool__00,chapp__02(s__02(cfun__02(c_27type_2elist_2elist_27__01(c_27type_2ebvl_2eexp_27__00),cbool__00),chapp__02(s__02(cfun__02(c_27type_2enum_2enum_27__00,cfun__02(c_27type_2elist_2elist_27__01(c_27type_2ebvl_2eexp_27__00),cbool__00)),V_27P_27),s__02(c_27type_2enum_2enum_27__00,V_27n_27))),s__02(c_27type_2elist_2elist_27__01(c_27type_2ebvl_2eexp_27__00),c_27const_2elist_2eCONS_27__02(s__02(c_27type_2ebvl_2eexp_27__00,V_27x_27),s__02(c_27type_2elist_2elist_27__01(c_27type_2ebvl_2eexp_27__00),c_27const_2elist_2eNIL_27__00)))))) ) )
=> p__01(s__02(cbool__00,chapp__02(s__02(cfun__02(c_27type_2elist_2elist_27__01(c_27type_2ebvl_2eexp_27__00),cbool__00),chapp__02(s__02(cfun__02(c_27type_2enum_2enum_27__00,cfun__02(c_27type_2elist_2elist_27__01(c_27type_2ebvl_2eexp_27__00),cbool__00)),V_27P_27),s__02(c_27type_2enum_2enum_27__00,V_27n_27))),s__02(c_27type_2elist_2elist_27__01(c_27type_2ebvl_2eexp_27__00),c_27const_2elist_2eCONS_27__02(s__02(c_27type_2ebvl_2eexp_27__00,V_27x_27),s__02(c_27type_2elist_2elist_27__01(c_27type_2ebvl_2eexp_27__00),c_27const_2elist_2eCONS_27__02(s__02(c_27type_2ebvl_2eexp_27__00,V_27y_27),s__02(c_27type_2elist_2elist_27__01(c_27type_2ebvl_2eexp_27__00),V_27xs_27)))))))) )
& ! [V_27n_27,V_27v_27] : p__01(s__02(cbool__00,chapp__02(s__02(cfun__02(c_27type_2elist_2elist_27__01(c_27type_2ebvl_2eexp_27__00),cbool__00),chapp__02(s__02(cfun__02(c_27type_2enum_2enum_27__00,cfun__02(c_27type_2elist_2elist_27__01(c_27type_2ebvl_2eexp_27__00),cbool__00)),V_27P_27),s__02(c_27type_2enum_2enum_27__00,V_27n_27))),s__02(c_27type_2elist_2elist_27__01(c_27type_2ebvl_2eexp_27__00),c_27const_2elist_2eCONS_27__02(s__02(c_27type_2ebvl_2eexp_27__00,c_27const_2ebvl_2eVar_27__01(s__02(c_27type_2enum_2enum_27__00,V_27v_27))),s__02(c_27type_2elist_2elist_27__01(c_27type_2ebvl_2eexp_27__00),c_27const_2elist_2eNIL_27__00))))))
& ! [V_27n_27,V_27x1_27,V_27x2_27,V_27x3_27] :
( ( ! [V_27n_7c39_7c_27,V_27n_7c39_7c_7c39_7c_27,V_27n_7c39_7c_7c39_7c_7c39_7c_27] :
( ( s__02(c_27type_2enum_2enum_27__00,V_27n_7c39_7c_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_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_7c39_7c_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_7c39_7c_7c39_7c_27) = s__02(c_27type_2enum_2enum_27__00,c_27const_2ebvl__inline_2eis__small__aux_27__02(s__02(c_27type_2enum_2enum_27__00,V_27n_7c39_7c_27),s__02(c_27type_2elist_2elist_27__01(c_27type_2ebvl_2eexp_27__00),c_27const_2elist_2eCONS_27__02(s__02(c_27type_2ebvl_2eexp_27__00,V_27x1_27),s__02(c_27type_2elist_2elist_27__01(c_27type_2ebvl_2eexp_27__00),c_27const_2elist_2eNIL_27__00)))))
& s__02(c_27type_2enum_2enum_27__00,V_27n_7c39_7c_7c39_7c_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_7c39_7c_7c39_7c_7c39_7c_27) = s__02(c_27type_2enum_2enum_27__00,c_27const_2ebvl__inline_2eis__small__aux_27__02(s__02(c_27type_2enum_2enum_27__00,V_27n_7c39_7c_7c39_7c_27),s__02(c_27type_2elist_2elist_27__01(c_27type_2ebvl_2eexp_27__00),c_27const_2elist_2eCONS_27__02(s__02(c_27type_2ebvl_2eexp_27__00,V_27x2_27),s__02(c_27type_2elist_2elist_27__01(c_27type_2ebvl_2eexp_27__00),c_27const_2elist_2eNIL_27__00)))))
& s__02(c_27type_2enum_2enum_27__00,V_27n_7c39_7c_7c39_7c_7c39_7c_27) != s__02(c_27type_2enum_2enum_27__00,c_27const_2enum_2e0_27__00) )
=> p__01(s__02(cbool__00,chapp__02(s__02(cfun__02(c_27type_2elist_2elist_27__01(c_27type_2ebvl_2eexp_27__00),cbool__00),chapp__02(s__02(cfun__02(c_27type_2enum_2enum_27__00,cfun__02(c_27type_2elist_2elist_27__01(c_27type_2ebvl_2eexp_27__00),cbool__00)),V_27P_27),s__02(c_27type_2enum_2enum_27__00,V_27n_7c39_7c_7c39_7c_7c39_7c_27))),s__02(c_27type_2elist_2elist_27__01(c_27type_2ebvl_2eexp_27__00),c_27const_2elist_2eCONS_27__02(s__02(c_27type_2ebvl_2eexp_27__00,V_27x3_27),s__02(c_27type_2elist_2elist_27__01(c_27type_2ebvl_2eexp_27__00),c_27const_2elist_2eNIL_27__00)))))) )
& ! [V_27n_7c39_7c_27,V_27n_7c39_7c_7c39_7c_27] :
( ( s__02(c_27type_2enum_2enum_27__00,V_27n_7c39_7c_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_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_7c39_7c_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_7c39_7c_7c39_7c_27) = s__02(c_27type_2enum_2enum_27__00,c_27const_2ebvl__inline_2eis__small__aux_27__02(s__02(c_27type_2enum_2enum_27__00,V_27n_7c39_7c_27),s__02(c_27type_2elist_2elist_27__01(c_27type_2ebvl_2eexp_27__00),c_27const_2elist_2eCONS_27__02(s__02(c_27type_2ebvl_2eexp_27__00,V_27x1_27),s__02(c_27type_2elist_2elist_27__01(c_27type_2ebvl_2eexp_27__00),c_27const_2elist_2eNIL_27__00)))))
& s__02(c_27type_2enum_2enum_27__00,V_27n_7c39_7c_7c39_7c_27) != s__02(c_27type_2enum_2enum_27__00,c_27const_2enum_2e0_27__00) )
=> p__01(s__02(cbool__00,chapp__02(s__02(cfun__02(c_27type_2elist_2elist_27__01(c_27type_2ebvl_2eexp_27__00),cbool__00),chapp__02(s__02(cfun__02(c_27type_2enum_2enum_27__00,cfun__02(c_27type_2elist_2elist_27__01(c_27type_2ebvl_2eexp_27__00),cbool__00)),V_27P_27),s__02(c_27type_2enum_2enum_27__00,V_27n_7c39_7c_7c39_7c_27))),s__02(c_27type_2elist_2elist_27__01(c_27type_2ebvl_2eexp_27__00),c_27const_2elist_2eCONS_27__02(s__02(c_27type_2ebvl_2eexp_27__00,V_27x2_27),s__02(c_27type_2elist_2elist_27__01(c_27type_2ebvl_2eexp_27__00),c_27const_2elist_2eNIL_27__00)))))) )
& ! [V_27n_7c39_7c_27] :
( ( s__02(c_27type_2enum_2enum_27__00,V_27n_7c39_7c_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_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_7c39_7c_27) != s__02(c_27type_2enum_2enum_27__00,c_27const_2enum_2e0_27__00) )
=> p__01(s__02(cbool__00,chapp__02(s__02(cfun__02(c_27type_2elist_2elist_27__01(c_27type_2ebvl_2eexp_27__00),cbool__00),chapp__02(s__02(cfun__02(c_27type_2enum_2enum_27__00,cfun__02(c_27type_2elist_2elist_27__01(c_27type_2ebvl_2eexp_27__00),cbool__00)),V_27P_27),s__02(c_27type_2enum_2enum_27__00,V_27n_7c39_7c_27))),s__02(c_27type_2elist_2elist_27__01(c_27type_2ebvl_2eexp_27__00),c_27const_2elist_2eCONS_27__02(s__02(c_27type_2ebvl_2eexp_27__00,V_27x1_27),s__02(c_27type_2elist_2elist_27__01(c_27type_2ebvl_2eexp_27__00),c_27const_2elist_2eNIL_27__00)))))) ) )
=> p__01(s__02(cbool__00,chapp__02(s__02(cfun__02(c_27type_2elist_2elist_27__01(c_27type_2ebvl_2eexp_27__00),cbool__00),chapp__02(s__02(cfun__02(c_27type_2enum_2enum_27__00,cfun__02(c_27type_2elist_2elist_27__01(c_27type_2ebvl_2eexp_27__00),cbool__00)),V_27P_27),s__02(c_27type_2enum_2enum_27__00,V_27n_27))),s__02(c_27type_2elist_2elist_27__01(c_27type_2ebvl_2eexp_27__00),c_27const_2elist_2eCONS_27__02(s__02(c_27type_2ebvl_2eexp_27__00,c_27const_2ebvl_2eIf_27__03(s__02(c_27type_2ebvl_2eexp_27__00,V_27x1_27),s__02(c_27type_2ebvl_2eexp_27__00,V_27x2_27),s__02(c_27type_2ebvl_2eexp_27__00,V_27x3_27))),s__02(c_27type_2elist_2elist_27__01(c_27type_2ebvl_2eexp_27__00),c_27const_2elist_2eNIL_27__00)))))) )
& ! [V_27n_27,V_27xs_27,V_27x2_27] :
( ( ! [V_27n_7c39_7c_27,V_27n_7c39_7c_7c39_7c_27] :
( ( s__02(c_27type_2enum_2enum_27__00,V_27n_7c39_7c_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_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_7c39_7c_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_7c39_7c_7c39_7c_27) = s__02(c_27type_2enum_2enum_27__00,c_27const_2ebvl__inline_2eis__small__aux_27__02(s__02(c_27type_2enum_2enum_27__00,V_27n_7c39_7c_27),s__02(c_27type_2elist_2elist_27__01(c_27type_2ebvl_2eexp_27__00),V_27xs_27)))
& s__02(c_27type_2enum_2enum_27__00,V_27n_7c39_7c_7c39_7c_27) != s__02(c_27type_2enum_2enum_27__00,c_27const_2enum_2e0_27__00) )
=> p__01(s__02(cbool__00,chapp__02(s__02(cfun__02(c_27type_2elist_2elist_27__01(c_27type_2ebvl_2eexp_27__00),cbool__00),chapp__02(s__02(cfun__02(c_27type_2enum_2enum_27__00,cfun__02(c_27type_2elist_2elist_27__01(c_27type_2ebvl_2eexp_27__00),cbool__00)),V_27P_27),s__02(c_27type_2enum_2enum_27__00,V_27n_7c39_7c_7c39_7c_27))),s__02(c_27type_2elist_2elist_27__01(c_27type_2ebvl_2eexp_27__00),c_27const_2elist_2eCONS_27__02(s__02(c_27type_2ebvl_2eexp_27__00,V_27x2_27),s__02(c_27type_2elist_2elist_27__01(c_27type_2ebvl_2eexp_27__00),c_27const_2elist_2eNIL_27__00)))))) )
& ! [V_27n_7c39_7c_27] :
( ( s__02(c_27type_2enum_2enum_27__00,V_27n_7c39_7c_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_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_7c39_7c_27) != s__02(c_27type_2enum_2enum_27__00,c_27const_2enum_2e0_27__00) )
=> p__01(s__02(cbool__00,chapp__02(s__02(cfun__02(c_27type_2elist_2elist_27__01(c_27type_2ebvl_2eexp_27__00),cbool__00),chapp__02(s__02(cfun__02(c_27type_2enum_2enum_27__00,cfun__02(c_27type_2elist_2elist_27__01(c_27type_2ebvl_2eexp_27__00),cbool__00)),V_27P_27),s__02(c_27type_2enum_2enum_27__00,V_27n_7c39_7c_27))),s__02(c_27type_2elist_2elist_27__01(c_27type_2ebvl_2eexp_27__00),V_27xs_27)))) ) )
=> p__01(s__02(cbool__00,chapp__02(s__02(cfun__02(c_27type_2elist_2elist_27__01(c_27type_2ebvl_2eexp_27__00),cbool__00),chapp__02(s__02(cfun__02(c_27type_2enum_2enum_27__00,cfun__02(c_27type_2elist_2elist_27__01(c_27type_2ebvl_2eexp_27__00),cbool__00)),V_27P_27),s__02(c_27type_2enum_2enum_27__00,V_27n_27))),s__02(c_27type_2elist_2elist_27__01(c_27type_2ebvl_2eexp_27__00),c_27const_2elist_2eCONS_27__02(s__02(c_27type_2ebvl_2eexp_27__00,c_27const_2ebvl_2eLet_27__02(s__02(c_27type_2elist_2elist_27__01(c_27type_2ebvl_2eexp_27__00),V_27xs_27),s__02(c_27type_2ebvl_2eexp_27__00,V_27x2_27))),s__02(c_27type_2elist_2elist_27__01(c_27type_2ebvl_2eexp_27__00),c_27const_2elist_2eNIL_27__00)))))) )
& ! [V_27n_27,V_27x1_27] :
( ! [V_27n_7c39_7c_27] :
( ( s__02(c_27type_2enum_2enum_27__00,V_27n_7c39_7c_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_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_7c39_7c_27) != s__02(c_27type_2enum_2enum_27__00,c_27const_2enum_2e0_27__00) )
=> p__01(s__02(cbool__00,chapp__02(s__02(cfun__02(c_27type_2elist_2elist_27__01(c_27type_2ebvl_2eexp_27__00),cbool__00),chapp__02(s__02(cfun__02(c_27type_2enum_2enum_27__00,cfun__02(c_27type_2elist_2elist_27__01(c_27type_2ebvl_2eexp_27__00),cbool__00)),V_27P_27),s__02(c_27type_2enum_2enum_27__00,V_27n_7c39_7c_27))),s__02(c_27type_2elist_2elist_27__01(c_27type_2ebvl_2eexp_27__00),c_27const_2elist_2eCONS_27__02(s__02(c_27type_2ebvl_2eexp_27__00,V_27x1_27),s__02(c_27type_2elist_2elist_27__01(c_27type_2ebvl_2eexp_27__00),c_27const_2elist_2eNIL_27__00)))))) )
=> p__01(s__02(cbool__00,chapp__02(s__02(cfun__02(c_27type_2elist_2elist_27__01(c_27type_2ebvl_2eexp_27__00),cbool__00),chapp__02(s__02(cfun__02(c_27type_2enum_2enum_27__00,cfun__02(c_27type_2elist_2elist_27__01(c_27type_2ebvl_2eexp_27__00),cbool__00)),V_27P_27),s__02(c_27type_2enum_2enum_27__00,V_27n_27))),s__02(c_27type_2elist_2elist_27__01(c_27type_2ebvl_2eexp_27__00),c_27const_2elist_2eCONS_27__02(s__02(c_27type_2ebvl_2eexp_27__00,c_27const_2ebvl_2eRaise_27__01(s__02(c_27type_2ebvl_2eexp_27__00,V_27x1_27))),s__02(c_27type_2elist_2elist_27__01(c_27type_2ebvl_2eexp_27__00),c_27const_2elist_2eNIL_27__00)))))) )
& ! [V_27n_27,V_27x1_27,V_27x2_27] :
( ( ! [V_27n_7c39_7c_27,V_27n_7c39_7c_7c39_7c_27] :
( ( s__02(c_27type_2enum_2enum_27__00,V_27n_7c39_7c_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_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_7c39_7c_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_7c39_7c_7c39_7c_27) = s__02(c_27type_2enum_2enum_27__00,c_27const_2ebvl__inline_2eis__small__aux_27__02(s__02(c_27type_2enum_2enum_27__00,V_27n_7c39_7c_27),s__02(c_27type_2elist_2elist_27__01(c_27type_2ebvl_2eexp_27__00),c_27const_2elist_2eCONS_27__02(s__02(c_27type_2ebvl_2eexp_27__00,V_27x1_27),s__02(c_27type_2elist_2elist_27__01(c_27type_2ebvl_2eexp_27__00),c_27const_2elist_2eNIL_27__00)))))
& s__02(c_27type_2enum_2enum_27__00,V_27n_7c39_7c_7c39_7c_27) != s__02(c_27type_2enum_2enum_27__00,c_27const_2enum_2e0_27__00) )
=> p__01(s__02(cbool__00,chapp__02(s__02(cfun__02(c_27type_2elist_2elist_27__01(c_27type_2ebvl_2eexp_27__00),cbool__00),chapp__02(s__02(cfun__02(c_27type_2enum_2enum_27__00,cfun__02(c_27type_2elist_2elist_27__01(c_27type_2ebvl_2eexp_27__00),cbool__00)),V_27P_27),s__02(c_27type_2enum_2enum_27__00,V_27n_7c39_7c_7c39_7c_27))),s__02(c_27type_2elist_2elist_27__01(c_27type_2ebvl_2eexp_27__00),c_27const_2elist_2eCONS_27__02(s__02(c_27type_2ebvl_2eexp_27__00,V_27x2_27),s__02(c_27type_2elist_2elist_27__01(c_27type_2ebvl_2eexp_27__00),c_27const_2elist_2eNIL_27__00)))))) )
& ! [V_27n_7c39_7c_27] :
( ( s__02(c_27type_2enum_2enum_27__00,V_27n_7c39_7c_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_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_7c39_7c_27) != s__02(c_27type_2enum_2enum_27__00,c_27const_2enum_2e0_27__00) )
=> p__01(s__02(cbool__00,chapp__02(s__02(cfun__02(c_27type_2elist_2elist_27__01(c_27type_2ebvl_2eexp_27__00),cbool__00),chapp__02(s__02(cfun__02(c_27type_2enum_2enum_27__00,cfun__02(c_27type_2elist_2elist_27__01(c_27type_2ebvl_2eexp_27__00),cbool__00)),V_27P_27),s__02(c_27type_2enum_2enum_27__00,V_27n_7c39_7c_27))),s__02(c_27type_2elist_2elist_27__01(c_27type_2ebvl_2eexp_27__00),c_27const_2elist_2eCONS_27__02(s__02(c_27type_2ebvl_2eexp_27__00,V_27x1_27),s__02(c_27type_2elist_2elist_27__01(c_27type_2ebvl_2eexp_27__00),c_27const_2elist_2eNIL_27__00)))))) ) )
=> p__01(s__02(cbool__00,chapp__02(s__02(cfun__02(c_27type_2elist_2elist_27__01(c_27type_2ebvl_2eexp_27__00),cbool__00),chapp__02(s__02(cfun__02(c_27type_2enum_2enum_27__00,cfun__02(c_27type_2elist_2elist_27__01(c_27type_2ebvl_2eexp_27__00),cbool__00)),V_27P_27),s__02(c_27type_2enum_2enum_27__00,V_27n_27))),s__02(c_27type_2elist_2elist_27__01(c_27type_2ebvl_2eexp_27__00),c_27const_2elist_2eCONS_27__02(s__02(c_27type_2ebvl_2eexp_27__00,c_27const_2ebvl_2eHandle_27__02(s__02(c_27type_2ebvl_2eexp_27__00,V_27x1_27),s__02(c_27type_2ebvl_2eexp_27__00,V_27x2_27))),s__02(c_27type_2elist_2elist_27__01(c_27type_2ebvl_2eexp_27__00),c_27const_2elist_2eNIL_27__00)))))) )
& ! [V_27n_27,V_27op_27,V_27xs_27] :
( ! [V_27n_7c39_7c_27] :
( ( s__02(c_27type_2enum_2enum_27__00,V_27n_7c39_7c_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_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_7c39_7c_27) != s__02(c_27type_2enum_2enum_27__00,c_27const_2enum_2e0_27__00) )
=> p__01(s__02(cbool__00,chapp__02(s__02(cfun__02(c_27type_2elist_2elist_27__01(c_27type_2ebvl_2eexp_27__00),cbool__00),chapp__02(s__02(cfun__02(c_27type_2enum_2enum_27__00,cfun__02(c_27type_2elist_2elist_27__01(c_27type_2ebvl_2eexp_27__00),cbool__00)),V_27P_27),s__02(c_27type_2enum_2enum_27__00,V_27n_7c39_7c_27))),s__02(c_27type_2elist_2elist_27__01(c_27type_2ebvl_2eexp_27__00),V_27xs_27)))) )
=> p__01(s__02(cbool__00,chapp__02(s__02(cfun__02(c_27type_2elist_2elist_27__01(c_27type_2ebvl_2eexp_27__00),cbool__00),chapp__02(s__02(cfun__02(c_27type_2enum_2enum_27__00,cfun__02(c_27type_2elist_2elist_27__01(c_27type_2ebvl_2eexp_27__00),cbool__00)),V_27P_27),s__02(c_27type_2enum_2enum_27__00,V_27n_27))),s__02(c_27type_2elist_2elist_27__01(c_27type_2ebvl_2eexp_27__00),c_27const_2elist_2eCONS_27__02(s__02(c_27type_2ebvl_2eexp_27__00,c_27const_2ebvl_2eOp_27__02(s__02(c_27type_2eclosLang_2eop_27__00,V_27op_27),s__02(c_27type_2elist_2elist_27__01(c_27type_2ebvl_2eexp_27__00),V_27xs_27))),s__02(c_27type_2elist_2elist_27__01(c_27type_2ebvl_2eexp_27__00),c_27const_2elist_2eNIL_27__00)))))) )
& ! [V_27n_27,V_27x_27] :
( p__01(s__02(cbool__00,chapp__02(s__02(cfun__02(c_27type_2elist_2elist_27__01(c_27type_2ebvl_2eexp_27__00),cbool__00),chapp__02(s__02(cfun__02(c_27type_2enum_2enum_27__00,cfun__02(c_27type_2elist_2elist_27__01(c_27type_2ebvl_2eexp_27__00),cbool__00)),V_27P_27),s__02(c_27type_2enum_2enum_27__00,V_27n_27))),s__02(c_27type_2elist_2elist_27__01(c_27type_2ebvl_2eexp_27__00),c_27const_2elist_2eCONS_27__02(s__02(c_27type_2ebvl_2eexp_27__00,V_27x_27),s__02(c_27type_2elist_2elist_27__01(c_27type_2ebvl_2eexp_27__00),c_27const_2elist_2eNIL_27__00))))))
=> p__01(s__02(cbool__00,chapp__02(s__02(cfun__02(c_27type_2elist_2elist_27__01(c_27type_2ebvl_2eexp_27__00),cbool__00),chapp__02(s__02(cfun__02(c_27type_2enum_2enum_27__00,cfun__02(c_27type_2elist_2elist_27__01(c_27type_2ebvl_2eexp_27__00),cbool__00)),V_27P_27),s__02(c_27type_2enum_2enum_27__00,V_27n_27))),s__02(c_27type_2elist_2elist_27__01(c_27type_2ebvl_2eexp_27__00),c_27const_2elist_2eCONS_27__02(s__02(c_27type_2ebvl_2eexp_27__00,c_27const_2ebvl_2eTick_27__01(s__02(c_27type_2ebvl_2eexp_27__00,V_27x_27))),s__02(c_27type_2elist_2elist_27__01(c_27type_2ebvl_2eexp_27__00),c_27const_2elist_2eNIL_27__00)))))) )
& ! [V_27n_27,V_27ticks_27,V_27dest_27,V_27xs_27] :
( ! [V_27n_7c39_7c_27] :
( ( s__02(c_27type_2enum_2enum_27__00,V_27n_7c39_7c_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_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_7c39_7c_27) != s__02(c_27type_2enum_2enum_27__00,c_27const_2enum_2e0_27__00) )
=> p__01(s__02(cbool__00,chapp__02(s__02(cfun__02(c_27type_2elist_2elist_27__01(c_27type_2ebvl_2eexp_27__00),cbool__00),chapp__02(s__02(cfun__02(c_27type_2enum_2enum_27__00,cfun__02(c_27type_2elist_2elist_27__01(c_27type_2ebvl_2eexp_27__00),cbool__00)),V_27P_27),s__02(c_27type_2enum_2enum_27__00,V_27n_7c39_7c_27))),s__02(c_27type_2elist_2elist_27__01(c_27type_2ebvl_2eexp_27__00),V_27xs_27)))) )
=> p__01(s__02(cbool__00,chapp__02(s__02(cfun__02(c_27type_2elist_2elist_27__01(c_27type_2ebvl_2eexp_27__00),cbool__00),chapp__02(s__02(cfun__02(c_27type_2enum_2enum_27__00,cfun__02(c_27type_2elist_2elist_27__01(c_27type_2ebvl_2eexp_27__00),cbool__00)),V_27P_27),s__02(c_27type_2enum_2enum_27__00,V_27n_27))),s__02(c_27type_2elist_2elist_27__01(c_27type_2ebvl_2eexp_27__00),c_27const_2elist_2eCONS_27__02(s__02(c_27type_2ebvl_2eexp_27__00,c_27const_2ebvl_2eCall_27__03(s__02(c_27type_2enum_2enum_27__00,V_27ticks_27),s__02(c_27type_2eoption_2eoption_27__01(c_27type_2enum_2enum_27__00),V_27dest_27),s__02(c_27type_2elist_2elist_27__01(c_27type_2ebvl_2eexp_27__00),V_27xs_27))),s__02(c_27type_2elist_2elist_27__01(c_27type_2ebvl_2eexp_27__00),c_27const_2elist_2eNIL_27__00)))))) ) )
=> ! [V_27v_27,V_27v1_27] : p__01(s__02(cbool__00,chapp__02(s__02(cfun__02(c_27type_2elist_2elist_27__01(c_27type_2ebvl_2eexp_27__00),cbool__00),chapp__02(s__02(cfun__02(c_27type_2enum_2enum_27__00,cfun__02(c_27type_2elist_2elist_27__01(c_27type_2ebvl_2eexp_27__00),cbool__00)),V_27P_27),s__02(c_27type_2enum_2enum_27__00,V_27v_27))),s__02(c_27type_2elist_2elist_27__01(c_27type_2ebvl_2eexp_27__00),V_27v1_27)))) ) ).
fof('thm.bvl_inline.is_small_aux_def',axiom,
! [V__5] :
( ! [V_27xs_27,V_27n_7c39_7c_27] :
? [Vv] :
( ( p__01(s__02(cbool__00,Vv))
<=> s__02(c_27type_2enum_2enum_27__00,V_27n_7c39_7c_27) = s__02(c_27type_2enum_2enum_27__00,c_27const_2enum_2e0_27__00) )
& 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),chapp__02(s__02(cfun__02(c_27type_2elist_2elist_27__01(c_27type_2ebvl_2eexp_27__00),cfun__02(c_27type_2enum_2enum_27__00,c_27type_2enum_2enum_27__00)),V__5),s__02(c_27type_2elist_2elist_27__01(c_27type_2ebvl_2eexp_27__00),V_27xs_27))),s__02(c_27type_2enum_2enum_27__00,V_27n_7c39_7c_27))) = s__02(c_27type_2enum_2enum_27__00,c_27const_2ebool_2eCOND_27__03(s__02(cbool__00,Vv),s__02(c_27type_2enum_2enum_27__00,c_27const_2enum_2e0_27__00),s__02(c_27type_2enum_2enum_27__00,c_27const_2ebvl__inline_2eis__small__aux_27__02(s__02(c_27type_2enum_2enum_27__00,V_27n_7c39_7c_27),s__02(c_27type_2elist_2elist_27__01(c_27type_2ebvl_2eexp_27__00),V_27xs_27))))) )
=> ! [V__4] :
( ! [V__3,V_27x2_27,V_27xs_27,V_27n_7c39_7c_27] :
? [Vv] :
( ( p__01(s__02(cbool__00,Vv))
<=> s__02(c_27type_2enum_2enum_27__00,V_27n_7c39_7c_27) = s__02(c_27type_2enum_2enum_27__00,c_27const_2enum_2e0_27__00) )
& 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),chapp__02(s__02(cfun__02(c_27type_2elist_2elist_27__01(c_27type_2ebvl_2eexp_27__00),cfun__02(c_27type_2enum_2enum_27__00,c_27type_2enum_2enum_27__00)),chapp__02(s__02(cfun__02(c_27type_2ebvl_2eexp_27__00,cfun__02(c_27type_2elist_2elist_27__01(c_27type_2ebvl_2eexp_27__00),cfun__02(c_27type_2enum_2enum_27__00,c_27type_2enum_2enum_27__00))),chapp__02(s__02(cfun__02(cfun__02(c_27type_2ebvl_2eexp_27__00,cfun__02(c_27type_2enum_2enum_27__00,c_27type_2enum_2enum_27__00)),cfun__02(c_27type_2ebvl_2eexp_27__00,cfun__02(c_27type_2elist_2elist_27__01(c_27type_2ebvl_2eexp_27__00),cfun__02(c_27type_2enum_2enum_27__00,c_27type_2enum_2enum_27__00)))),V__4),s__02(cfun__02(c_27type_2ebvl_2eexp_27__00,cfun__02(c_27type_2enum_2enum_27__00,c_27type_2enum_2enum_27__00)),V__3))),s__02(c_27type_2ebvl_2eexp_27__00,V_27x2_27))),s__02(c_27type_2elist_2elist_27__01(c_27type_2ebvl_2eexp_27__00),V_27xs_27))),s__02(c_27type_2enum_2enum_27__00,V_27n_7c39_7c_27))) = s__02(c_27type_2enum_2enum_27__00,c_27const_2ebool_2eCOND_27__03(s__02(cbool__00,Vv),s__02(c_27type_2enum_2enum_27__00,c_27const_2enum_2e0_27__00),s__02(c_27type_2enum_2enum_27__00,c_27const_2ebool_2eLET_27__02(s__02(cfun__02(c_27type_2enum_2enum_27__00,c_27type_2enum_2enum_27__00),chapp__02(s__02(cfun__02(c_27type_2ebvl_2eexp_27__00,cfun__02(c_27type_2enum_2enum_27__00,c_27type_2enum_2enum_27__00)),V__3),s__02(c_27type_2ebvl_2eexp_27__00,V_27x2_27))),s__02(c_27type_2enum_2enum_27__00,c_27const_2ebvl__inline_2eis__small__aux_27__02(s__02(c_27type_2enum_2enum_27__00,V_27n_7c39_7c_27),s__02(c_27type_2elist_2elist_27__01(c_27type_2ebvl_2eexp_27__00),V_27xs_27))))))) )
=> ! [V__3] :
( ! [V_27x3_27,V_27n_7c39_7c_7c39_7c_7c39_7c_27] :
? [Vv] :
( ( p__01(s__02(cbool__00,Vv))
<=> s__02(c_27type_2enum_2enum_27__00,V_27n_7c39_7c_7c39_7c_7c39_7c_27) = s__02(c_27type_2enum_2enum_27__00,c_27const_2enum_2e0_27__00) )
& 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),chapp__02(s__02(cfun__02(c_27type_2ebvl_2eexp_27__00,cfun__02(c_27type_2enum_2enum_27__00,c_27type_2enum_2enum_27__00)),V__3),s__02(c_27type_2ebvl_2eexp_27__00,V_27x3_27))),s__02(c_27type_2enum_2enum_27__00,V_27n_7c39_7c_7c39_7c_7c39_7c_27))) = s__02(c_27type_2enum_2enum_27__00,c_27const_2ebool_2eCOND_27__03(s__02(cbool__00,Vv),s__02(c_27type_2enum_2enum_27__00,c_27const_2enum_2e0_27__00),s__02(c_27type_2enum_2enum_27__00,c_27const_2ebvl__inline_2eis__small__aux_27__02(s__02(c_27type_2enum_2enum_27__00,V_27n_7c39_7c_7c39_7c_7c39_7c_27),s__02(c_27type_2elist_2elist_27__01(c_27type_2ebvl_2eexp_27__00),c_27const_2elist_2eCONS_27__02(s__02(c_27type_2ebvl_2eexp_27__00,V_27x3_27),s__02(c_27type_2elist_2elist_27__01(c_27type_2ebvl_2eexp_27__00),c_27const_2elist_2eNIL_27__00))))))) )
=> ! [V__2] :
( ! [V_27x3_27,V_27x2_27,V_27n_7c39_7c_7c39_7c_27] :
? [Vv] :
( ( p__01(s__02(cbool__00,Vv))
<=> s__02(c_27type_2enum_2enum_27__00,V_27n_7c39_7c_7c39_7c_27) = s__02(c_27type_2enum_2enum_27__00,c_27const_2enum_2e0_27__00) )
& 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),chapp__02(s__02(cfun__02(c_27type_2ebvl_2eexp_27__00,cfun__02(c_27type_2enum_2enum_27__00,c_27type_2enum_2enum_27__00)),chapp__02(s__02(cfun__02(c_27type_2ebvl_2eexp_27__00,cfun__02(c_27type_2ebvl_2eexp_27__00,cfun__02(c_27type_2enum_2enum_27__00,c_27type_2enum_2enum_27__00))),V__2),s__02(c_27type_2ebvl_2eexp_27__00,V_27x3_27))),s__02(c_27type_2ebvl_2eexp_27__00,V_27x2_27))),s__02(c_27type_2enum_2enum_27__00,V_27n_7c39_7c_7c39_7c_27))) = s__02(c_27type_2enum_2enum_27__00,c_27const_2ebool_2eCOND_27__03(s__02(cbool__00,Vv),s__02(c_27type_2enum_2enum_27__00,c_27const_2enum_2e0_27__00),s__02(c_27type_2enum_2enum_27__00,c_27const_2ebool_2eLET_27__02(s__02(cfun__02(c_27type_2enum_2enum_27__00,c_27type_2enum_2enum_27__00),chapp__02(s__02(cfun__02(c_27type_2ebvl_2eexp_27__00,cfun__02(c_27type_2enum_2enum_27__00,c_27type_2enum_2enum_27__00)),V__3),s__02(c_27type_2ebvl_2eexp_27__00,V_27x3_27))),s__02(c_27type_2enum_2enum_27__00,c_27const_2ebvl__inline_2eis__small__aux_27__02(s__02(c_27type_2enum_2enum_27__00,V_27n_7c39_7c_7c39_7c_27),s__02(c_27type_2elist_2elist_27__01(c_27type_2ebvl_2eexp_27__00),c_27const_2elist_2eCONS_27__02(s__02(c_27type_2ebvl_2eexp_27__00,V_27x2_27),s__02(c_27type_2elist_2elist_27__01(c_27type_2ebvl_2eexp_27__00),c_27const_2elist_2eNIL_27__00))))))))) )
=> ! [V__1] :
( ! [V_27x3_27,V_27x2_27,V_27x1_27,V_27n_7c39_7c_27] :
? [Vv] :
( ( p__01(s__02(cbool__00,Vv))
<=> s__02(c_27type_2enum_2enum_27__00,V_27n_7c39_7c_27) = s__02(c_27type_2enum_2enum_27__00,c_27const_2enum_2e0_27__00) )
& 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),chapp__02(s__02(cfun__02(c_27type_2ebvl_2eexp_27__00,cfun__02(c_27type_2enum_2enum_27__00,c_27type_2enum_2enum_27__00)),chapp__02(s__02(cfun__02(c_27type_2ebvl_2eexp_27__00,cfun__02(c_27type_2ebvl_2eexp_27__00,cfun__02(c_27type_2enum_2enum_27__00,c_27type_2enum_2enum_27__00))),chapp__02(s__02(cfun__02(c_27type_2ebvl_2eexp_27__00,cfun__02(c_27type_2ebvl_2eexp_27__00,cfun__02(c_27type_2ebvl_2eexp_27__00,cfun__02(c_27type_2enum_2enum_27__00,c_27type_2enum_2enum_27__00)))),V__1),s__02(c_27type_2ebvl_2eexp_27__00,V_27x3_27))),s__02(c_27type_2ebvl_2eexp_27__00,V_27x2_27))),s__02(c_27type_2ebvl_2eexp_27__00,V_27x1_27))),s__02(c_27type_2enum_2enum_27__00,V_27n_7c39_7c_27))) = s__02(c_27type_2enum_2enum_27__00,c_27const_2ebool_2eCOND_27__03(s__02(cbool__00,Vv),s__02(c_27type_2enum_2enum_27__00,c_27const_2enum_2e0_27__00),s__02(c_27type_2enum_2enum_27__00,c_27const_2ebool_2eLET_27__02(s__02(cfun__02(c_27type_2enum_2enum_27__00,c_27type_2enum_2enum_27__00),chapp__02(s__02(cfun__02(c_27type_2ebvl_2eexp_27__00,cfun__02(c_27type_2enum_2enum_27__00,c_27type_2enum_2enum_27__00)),chapp__02(s__02(cfun__02(c_27type_2ebvl_2eexp_27__00,cfun__02(c_27type_2ebvl_2eexp_27__00,cfun__02(c_27type_2enum_2enum_27__00,c_27type_2enum_2enum_27__00))),V__2),s__02(c_27type_2ebvl_2eexp_27__00,V_27x3_27))),s__02(c_27type_2ebvl_2eexp_27__00,V_27x2_27))),s__02(c_27type_2enum_2enum_27__00,c_27const_2ebvl__inline_2eis__small__aux_27__02(s__02(c_27type_2enum_2enum_27__00,V_27n_7c39_7c_27),s__02(c_27type_2elist_2elist_27__01(c_27type_2ebvl_2eexp_27__00),c_27const_2elist_2eCONS_27__02(s__02(c_27type_2ebvl_2eexp_27__00,V_27x1_27),s__02(c_27type_2elist_2elist_27__01(c_27type_2ebvl_2eexp_27__00),c_27const_2elist_2eNIL_27__00))))))))) )
=> ! [V__0] :
( ! [V_27y_27,V_27xs_27,V_27n_7c39_7c_27] :
? [Vv] :
( ( p__01(s__02(cbool__00,Vv))
<=> s__02(c_27type_2enum_2enum_27__00,V_27n_7c39_7c_27) = s__02(c_27type_2enum_2enum_27__00,c_27const_2enum_2e0_27__00) )
& 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),chapp__02(s__02(cfun__02(c_27type_2elist_2elist_27__01(c_27type_2ebvl_2eexp_27__00),cfun__02(c_27type_2enum_2enum_27__00,c_27type_2enum_2enum_27__00)),chapp__02(s__02(cfun__02(c_27type_2ebvl_2eexp_27__00,cfun__02(c_27type_2elist_2elist_27__01(c_27type_2ebvl_2eexp_27__00),cfun__02(c_27type_2enum_2enum_27__00,c_27type_2enum_2enum_27__00))),V__0),s__02(c_27type_2ebvl_2eexp_27__00,V_27y_27))),s__02(c_27type_2elist_2elist_27__01(c_27type_2ebvl_2eexp_27__00),V_27xs_27))),s__02(c_27type_2enum_2enum_27__00,V_27n_7c39_7c_27))) = s__02(c_27type_2enum_2enum_27__00,c_27const_2ebool_2eCOND_27__03(s__02(cbool__00,Vv),s__02(c_27type_2enum_2enum_27__00,V_27n_7c39_7c_27),s__02(c_27type_2enum_2enum_27__00,c_27const_2ebvl__inline_2eis__small__aux_27__02(s__02(c_27type_2enum_2enum_27__00,V_27n_7c39_7c_27),s__02(c_27type_2elist_2elist_27__01(c_27type_2ebvl_2eexp_27__00),c_27const_2elist_2eCONS_27__02(s__02(c_27type_2ebvl_2eexp_27__00,V_27y_27),s__02(c_27type_2elist_2elist_27__01(c_27type_2ebvl_2eexp_27__00),V_27xs_27))))))) )
=> ( ! [V_27n_27] : s__02(c_27type_2enum_2enum_27__00,c_27const_2ebvl__inline_2eis__small__aux_27__02(s__02(c_27type_2enum_2enum_27__00,V_27n_27),s__02(c_27type_2elist_2elist_27__01(c_27type_2ebvl_2eexp_27__00),c_27const_2elist_2eNIL_27__00))) = s__02(c_27type_2enum_2enum_27__00,V_27n_27)
& ! [V_27y_27,V_27xs_27,V_27x_27,V_27n_27] :
? [Vv] :
( ( p__01(s__02(cbool__00,Vv))
<=> 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_2ebvl__inline_2eis__small__aux_27__02(s__02(c_27type_2enum_2enum_27__00,V_27n_27),s__02(c_27type_2elist_2elist_27__01(c_27type_2ebvl_2eexp_27__00),c_27const_2elist_2eCONS_27__02(s__02(c_27type_2ebvl_2eexp_27__00,V_27x_27),s__02(c_27type_2elist_2elist_27__01(c_27type_2ebvl_2eexp_27__00),c_27const_2elist_2eCONS_27__02(s__02(c_27type_2ebvl_2eexp_27__00,V_27y_27),s__02(c_27type_2elist_2elist_27__01(c_27type_2ebvl_2eexp_27__00),V_27xs_27))))))) = s__02(c_27type_2enum_2enum_27__00,c_27const_2ebool_2eCOND_27__03(s__02(cbool__00,Vv),s__02(c_27type_2enum_2enum_27__00,V_27n_27),s__02(c_27type_2enum_2enum_27__00,c_27const_2ebool_2eLET_27__02(s__02(cfun__02(c_27type_2enum_2enum_27__00,c_27type_2enum_2enum_27__00),chapp__02(s__02(cfun__02(c_27type_2elist_2elist_27__01(c_27type_2ebvl_2eexp_27__00),cfun__02(c_27type_2enum_2enum_27__00,c_27type_2enum_2enum_27__00)),chapp__02(s__02(cfun__02(c_27type_2ebvl_2eexp_27__00,cfun__02(c_27type_2elist_2elist_27__01(c_27type_2ebvl_2eexp_27__00),cfun__02(c_27type_2enum_2enum_27__00,c_27type_2enum_2enum_27__00))),V__0),s__02(c_27type_2ebvl_2eexp_27__00,V_27y_27))),s__02(c_27type_2elist_2elist_27__01(c_27type_2ebvl_2eexp_27__00),V_27xs_27))),s__02(c_27type_2enum_2enum_27__00,c_27const_2ebvl__inline_2eis__small__aux_27__02(s__02(c_27type_2enum_2enum_27__00,V_27n_27),s__02(c_27type_2elist_2elist_27__01(c_27type_2ebvl_2eexp_27__00),c_27const_2elist_2eCONS_27__02(s__02(c_27type_2ebvl_2eexp_27__00,V_27x_27),s__02(c_27type_2elist_2elist_27__01(c_27type_2ebvl_2eexp_27__00),c_27const_2elist_2eNIL_27__00))))))))) )
& ! [V_27v_27,V_27n_27] : s__02(c_27type_2enum_2enum_27__00,c_27const_2ebvl__inline_2eis__small__aux_27__02(s__02(c_27type_2enum_2enum_27__00,V_27n_27),s__02(c_27type_2elist_2elist_27__01(c_27type_2ebvl_2eexp_27__00),c_27const_2elist_2eCONS_27__02(s__02(c_27type_2ebvl_2eexp_27__00,c_27const_2ebvl_2eVar_27__01(s__02(c_27type_2enum_2enum_27__00,V_27v_27))),s__02(c_27type_2elist_2elist_27__01(c_27type_2ebvl_2eexp_27__00),c_27const_2elist_2eNIL_27__00))))) = s__02(c_27type_2enum_2enum_27__00,V_27n_27)
& ! [V_27x3_27,V_27x2_27,V_27x1_27,V_27n_27] : s__02(c_27type_2enum_2enum_27__00,c_27const_2ebvl__inline_2eis__small__aux_27__02(s__02(c_27type_2enum_2enum_27__00,V_27n_27),s__02(c_27type_2elist_2elist_27__01(c_27type_2ebvl_2eexp_27__00),c_27const_2elist_2eCONS_27__02(s__02(c_27type_2ebvl_2eexp_27__00,c_27const_2ebvl_2eIf_27__03(s__02(c_27type_2ebvl_2eexp_27__00,V_27x1_27),s__02(c_27type_2ebvl_2eexp_27__00,V_27x2_27),s__02(c_27type_2ebvl_2eexp_27__00,V_27x3_27))),s__02(c_27type_2elist_2elist_27__01(c_27type_2ebvl_2eexp_27__00),c_27const_2elist_2eNIL_27__00))))) = s__02(c_27type_2enum_2enum_27__00,c_27const_2ebool_2eLET_27__02(s__02(cfun__02(c_27type_2enum_2enum_27__00,c_27type_2enum_2enum_27__00),chapp__02(s__02(cfun__02(c_27type_2ebvl_2eexp_27__00,cfun__02(c_27type_2enum_2enum_27__00,c_27type_2enum_2enum_27__00)),chapp__02(s__02(cfun__02(c_27type_2ebvl_2eexp_27__00,cfun__02(c_27type_2ebvl_2eexp_27__00,cfun__02(c_27type_2enum_2enum_27__00,c_27type_2enum_2enum_27__00))),chapp__02(s__02(cfun__02(c_27type_2ebvl_2eexp_27__00,cfun__02(c_27type_2ebvl_2eexp_27__00,cfun__02(c_27type_2ebvl_2eexp_27__00,cfun__02(c_27type_2enum_2enum_27__00,c_27type_2enum_2enum_27__00)))),V__1),s__02(c_27type_2ebvl_2eexp_27__00,V_27x3_27))),s__02(c_27type_2ebvl_2eexp_27__00,V_27x2_27))),s__02(c_27type_2ebvl_2eexp_27__00,V_27x1_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_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_27xs_27,V_27x2_27,V_27n_27] : s__02(c_27type_2enum_2enum_27__00,c_27const_2ebvl__inline_2eis__small__aux_27__02(s__02(c_27type_2enum_2enum_27__00,V_27n_27),s__02(c_27type_2elist_2elist_27__01(c_27type_2ebvl_2eexp_27__00),c_27const_2elist_2eCONS_27__02(s__02(c_27type_2ebvl_2eexp_27__00,c_27const_2ebvl_2eLet_27__02(s__02(c_27type_2elist_2elist_27__01(c_27type_2ebvl_2eexp_27__00),V_27xs_27),s__02(c_27type_2ebvl_2eexp_27__00,V_27x2_27))),s__02(c_27type_2elist_2elist_27__01(c_27type_2ebvl_2eexp_27__00),c_27const_2elist_2eNIL_27__00))))) = s__02(c_27type_2enum_2enum_27__00,c_27const_2ebool_2eLET_27__02(s__02(cfun__02(c_27type_2enum_2enum_27__00,c_27type_2enum_2enum_27__00),chapp__02(s__02(cfun__02(c_27type_2elist_2elist_27__01(c_27type_2ebvl_2eexp_27__00),cfun__02(c_27type_2enum_2enum_27__00,c_27type_2enum_2enum_27__00)),chapp__02(s__02(cfun__02(c_27type_2ebvl_2eexp_27__00,cfun__02(c_27type_2elist_2elist_27__01(c_27type_2ebvl_2eexp_27__00),cfun__02(c_27type_2enum_2enum_27__00,c_27type_2enum_2enum_27__00))),chapp__02(s__02(cfun__02(cfun__02(c_27type_2ebvl_2eexp_27__00,cfun__02(c_27type_2enum_2enum_27__00,c_27type_2enum_2enum_27__00)),cfun__02(c_27type_2ebvl_2eexp_27__00,cfun__02(c_27type_2elist_2elist_27__01(c_27type_2ebvl_2eexp_27__00),cfun__02(c_27type_2enum_2enum_27__00,c_27type_2enum_2enum_27__00)))),V__4),s__02(cfun__02(c_27type_2ebvl_2eexp_27__00,cfun__02(c_27type_2enum_2enum_27__00,c_27type_2enum_2enum_27__00)),V__3))),s__02(c_27type_2ebvl_2eexp_27__00,V_27x2_27))),s__02(c_27type_2elist_2elist_27__01(c_27type_2ebvl_2eexp_27__00),V_27xs_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_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_27x1_27,V_27n_27] : s__02(c_27type_2enum_2enum_27__00,c_27const_2ebvl__inline_2eis__small__aux_27__02(s__02(c_27type_2enum_2enum_27__00,V_27n_27),s__02(c_27type_2elist_2elist_27__01(c_27type_2ebvl_2eexp_27__00),c_27const_2elist_2eCONS_27__02(s__02(c_27type_2ebvl_2eexp_27__00,c_27const_2ebvl_2eRaise_27__01(s__02(c_27type_2ebvl_2eexp_27__00,V_27x1_27))),s__02(c_27type_2elist_2elist_27__01(c_27type_2ebvl_2eexp_27__00),c_27const_2elist_2eNIL_27__00))))) = s__02(c_27type_2enum_2enum_27__00,c_27const_2ebool_2eLET_27__02(s__02(cfun__02(c_27type_2enum_2enum_27__00,c_27type_2enum_2enum_27__00),chapp__02(s__02(cfun__02(c_27type_2ebvl_2eexp_27__00,cfun__02(c_27type_2enum_2enum_27__00,c_27type_2enum_2enum_27__00)),V__3),s__02(c_27type_2ebvl_2eexp_27__00,V_27x1_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_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_27x2_27,V_27x1_27,V_27n_27] : s__02(c_27type_2enum_2enum_27__00,c_27const_2ebvl__inline_2eis__small__aux_27__02(s__02(c_27type_2enum_2enum_27__00,V_27n_27),s__02(c_27type_2elist_2elist_27__01(c_27type_2ebvl_2eexp_27__00),c_27const_2elist_2eCONS_27__02(s__02(c_27type_2ebvl_2eexp_27__00,c_27const_2ebvl_2eHandle_27__02(s__02(c_27type_2ebvl_2eexp_27__00,V_27x1_27),s__02(c_27type_2ebvl_2eexp_27__00,V_27x2_27))),s__02(c_27type_2elist_2elist_27__01(c_27type_2ebvl_2eexp_27__00),c_27const_2elist_2eNIL_27__00))))) = s__02(c_27type_2enum_2enum_27__00,c_27const_2ebool_2eLET_27__02(s__02(cfun__02(c_27type_2enum_2enum_27__00,c_27type_2enum_2enum_27__00),chapp__02(s__02(cfun__02(c_27type_2ebvl_2eexp_27__00,cfun__02(c_27type_2enum_2enum_27__00,c_27type_2enum_2enum_27__00)),chapp__02(s__02(cfun__02(c_27type_2ebvl_2eexp_27__00,cfun__02(c_27type_2ebvl_2eexp_27__00,cfun__02(c_27type_2enum_2enum_27__00,c_27type_2enum_2enum_27__00))),V__2),s__02(c_27type_2ebvl_2eexp_27__00,V_27x2_27))),s__02(c_27type_2ebvl_2eexp_27__00,V_27x1_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_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_27xs_27,V_27op_27,V_27n_27] : s__02(c_27type_2enum_2enum_27__00,c_27const_2ebvl__inline_2eis__small__aux_27__02(s__02(c_27type_2enum_2enum_27__00,V_27n_27),s__02(c_27type_2elist_2elist_27__01(c_27type_2ebvl_2eexp_27__00),c_27const_2elist_2eCONS_27__02(s__02(c_27type_2ebvl_2eexp_27__00,c_27const_2ebvl_2eOp_27__02(s__02(c_27type_2eclosLang_2eop_27__00,V_27op_27),s__02(c_27type_2elist_2elist_27__01(c_27type_2ebvl_2eexp_27__00),V_27xs_27))),s__02(c_27type_2elist_2elist_27__01(c_27type_2ebvl_2eexp_27__00),c_27const_2elist_2eNIL_27__00))))) = s__02(c_27type_2enum_2enum_27__00,c_27const_2ebool_2eLET_27__02(s__02(cfun__02(c_27type_2enum_2enum_27__00,c_27type_2enum_2enum_27__00),chapp__02(s__02(cfun__02(c_27type_2elist_2elist_27__01(c_27type_2ebvl_2eexp_27__00),cfun__02(c_27type_2enum_2enum_27__00,c_27type_2enum_2enum_27__00)),V__5),s__02(c_27type_2elist_2elist_27__01(c_27type_2ebvl_2eexp_27__00),V_27xs_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_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_27x_27,V_27n_27] : s__02(c_27type_2enum_2enum_27__00,c_27const_2ebvl__inline_2eis__small__aux_27__02(s__02(c_27type_2enum_2enum_27__00,V_27n_27),s__02(c_27type_2elist_2elist_27__01(c_27type_2ebvl_2eexp_27__00),c_27const_2elist_2eCONS_27__02(s__02(c_27type_2ebvl_2eexp_27__00,c_27const_2ebvl_2eTick_27__01(s__02(c_27type_2ebvl_2eexp_27__00,V_27x_27))),s__02(c_27type_2elist_2elist_27__01(c_27type_2ebvl_2eexp_27__00),c_27const_2elist_2eNIL_27__00))))) = s__02(c_27type_2enum_2enum_27__00,c_27const_2ebvl__inline_2eis__small__aux_27__02(s__02(c_27type_2enum_2enum_27__00,V_27n_27),s__02(c_27type_2elist_2elist_27__01(c_27type_2ebvl_2eexp_27__00),c_27const_2elist_2eCONS_27__02(s__02(c_27type_2ebvl_2eexp_27__00,V_27x_27),s__02(c_27type_2elist_2elist_27__01(c_27type_2ebvl_2eexp_27__00),c_27const_2elist_2eNIL_27__00)))))
& ! [V_27xs_27,V_27ticks_27,V_27n_27,V_27dest_27] : s__02(c_27type_2enum_2enum_27__00,c_27const_2ebvl__inline_2eis__small__aux_27__02(s__02(c_27type_2enum_2enum_27__00,V_27n_27),s__02(c_27type_2elist_2elist_27__01(c_27type_2ebvl_2eexp_27__00),c_27const_2elist_2eCONS_27__02(s__02(c_27type_2ebvl_2eexp_27__00,c_27const_2ebvl_2eCall_27__03(s__02(c_27type_2enum_2enum_27__00,V_27ticks_27),s__02(c_27type_2eoption_2eoption_27__01(c_27type_2enum_2enum_27__00),V_27dest_27),s__02(c_27type_2elist_2elist_27__01(c_27type_2ebvl_2eexp_27__00),V_27xs_27))),s__02(c_27type_2elist_2elist_27__01(c_27type_2ebvl_2eexp_27__00),c_27const_2elist_2eNIL_27__00))))) = s__02(c_27type_2enum_2enum_27__00,c_27const_2ebool_2eLET_27__02(s__02(cfun__02(c_27type_2enum_2enum_27__00,c_27type_2enum_2enum_27__00),chapp__02(s__02(cfun__02(c_27type_2elist_2elist_27__01(c_27type_2ebvl_2eexp_27__00),cfun__02(c_27type_2enum_2enum_27__00,c_27type_2enum_2enum_27__00)),V__5),s__02(c_27type_2elist_2elist_27__01(c_27type_2ebvl_2eexp_27__00),V_27xs_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_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))))))))) ) ) ) ) ) ) ) ).
fof(conjecture,conjecture,
! [V__0] :
( ! [V_27xs_27,V_27n0_27] :
? [Vv] :
( ( p__01(s__02(cbool__00,Vv))
<=> s__02(c_27type_2enum_2enum_27__00,V_27n0_27) = s__02(c_27type_2enum_2enum_27__00,c_27const_2enum_2e0_27__00) )
& 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),chapp__02(s__02(cfun__02(c_27type_2elist_2elist_27__01(c_27type_2ebvl_2eexp_27__00),cfun__02(c_27type_2enum_2enum_27__00,c_27type_2enum_2enum_27__00)),V__0),s__02(c_27type_2elist_2elist_27__01(c_27type_2ebvl_2eexp_27__00),V_27xs_27))),s__02(c_27type_2enum_2enum_27__00,V_27n0_27))) = s__02(c_27type_2enum_2enum_27__00,c_27const_2ebool_2eCOND_27__03(s__02(cbool__00,Vv),s__02(c_27type_2enum_2enum_27__00,V_27n0_27),s__02(c_27type_2enum_2enum_27__00,c_27const_2ebvl__inline_2eis__small__aux_27__02(s__02(c_27type_2enum_2enum_27__00,V_27n0_27),s__02(c_27type_2elist_2elist_27__01(c_27type_2ebvl_2eexp_27__00),V_27xs_27))))) )
=> ! [V_27n_27,V_27x_27,V_27xs_27] :
? [Vv] :
( ( p__01(s__02(cbool__00,Vv))
<=> 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_2ebvl__inline_2eis__small__aux_27__02(s__02(c_27type_2enum_2enum_27__00,V_27n_27),s__02(c_27type_2elist_2elist_27__01(c_27type_2ebvl_2eexp_27__00),c_27const_2elist_2eCONS_27__02(s__02(c_27type_2ebvl_2eexp_27__00,V_27x_27),s__02(c_27type_2elist_2elist_27__01(c_27type_2ebvl_2eexp_27__00),V_27xs_27))))) = s__02(c_27type_2enum_2enum_27__00,c_27const_2ebool_2eCOND_27__03(s__02(cbool__00,Vv),s__02(c_27type_2enum_2enum_27__00,V_27n_27),s__02(c_27type_2enum_2enum_27__00,c_27const_2ebool_2eLET_27__02(s__02(cfun__02(c_27type_2enum_2enum_27__00,c_27type_2enum_2enum_27__00),chapp__02(s__02(cfun__02(c_27type_2elist_2elist_27__01(c_27type_2ebvl_2eexp_27__00),cfun__02(c_27type_2enum_2enum_27__00,c_27type_2enum_2enum_27__00)),V__0),s__02(c_27type_2elist_2elist_27__01(c_27type_2ebvl_2eexp_27__00),V_27xs_27))),s__02(c_27type_2enum_2enum_27__00,c_27const_2ebvl__inline_2eis__small__aux_27__02(s__02(c_27type_2enum_2enum_27__00,V_27n_27),s__02(c_27type_2elist_2elist_27__01(c_27type_2ebvl_2eexp_27__00),c_27const_2elist_2eCONS_27__02(s__02(c_27type_2ebvl_2eexp_27__00,V_27x_27),s__02(c_27type_2elist_2elist_27__01(c_27type_2ebvl_2eexp_27__00),c_27const_2elist_2eNIL_27__00))))))))) ) ) ).
%------------------------------------------------------------------------------