TPTP Problem File: SWW905+1.p
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%------------------------------------------------------------------------------
% File : SWW905+1 : TPTP v8.2.0. Released v7.3.0.
% Domain : Software Verification
% Problem : clos_mtiProof__40__intro_multi_EQ_NIL__dep
% Version : Especial.
% English :
% Refs : [Kum18] Kumar (2018), Email to Geoff Sutcliffe
% Source : [Kum18]
% Names : clos_mtiProof__40__intro_multi_EQ_NIL__dep [Kum18]
% Status : CounterSatisfiable
% Rating : 0.00 v8.1.0, 0.25 v7.5.0, 0.60 v7.4.0, 0.00 v7.3.0
% Syntax : Number of formulae : 25 ( 8 unt; 0 def)
% Number of atoms : 161 ( 51 equ)
% Maximal formula atoms : 49 ( 6 avg)
% Number of connectives : 145 ( 9 ~; 1 |; 64 &)
% ( 24 <=>; 47 =>; 0 <=; 0 <~>)
% Maximal formula depth : 39 ( 7 avg)
% Maximal term depth : 16 ( 3 avg)
% Number of predicates : 2 ( 1 usr; 0 prp; 1-2 aty)
% Number of functors : 39 ( 39 usr; 9 con; 0-5 aty)
% Number of variables : 249 ( 245 !; 4 ?)
% 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.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.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.AND_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,V_27t_27)) )
& ( ( p__01(s__02(cbool__00,cF__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))
& p__01(s__02(cbool__00,cF__00)) )
<=> p__01(s__02(cbool__00,cF__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)) ) ) ).
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.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.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.EXISTS_REFL',axiom,
! [V_27A_27,V_27a_27] :
? [V_27x_27] : s__02(V_27A_27,V_27x_27) = s__02(V_27A_27,V_27a_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.pair.UNCURRY_DEF',axiom,
! [V_27C_27,V_27A_27,V_27B_27,V_27f_27,V_27x_27,V_27y_27] : s__02(V_27C_27,chapp__02(s__02(cfun__02(c_27type_2epair_2eprod_27__02(V_27A_27,V_27B_27),V_27C_27),c_27const_2epair_2eUNCURRY_27__01(s__02(cfun__02(V_27A_27,cfun__02(V_27B_27,V_27C_27)),V_27f_27))),s__02(c_27type_2epair_2eprod_27__02(V_27A_27,V_27B_27),c_27const_2epair_2e_2c_27__02(s__02(V_27A_27,V_27x_27),s__02(V_27B_27,V_27y_27))))) = s__02(V_27C_27,chapp__02(s__02(cfun__02(V_27B_27,V_27C_27),chapp__02(s__02(cfun__02(V_27A_27,cfun__02(V_27B_27,V_27C_27)),V_27f_27),s__02(V_27A_27,V_27x_27))),s__02(V_27B_27,V_27y_27))) ).
fof('thm.pair.EXISTS_PROD',axiom,
! [V_27A_27,V_27B_27,V_27P_27] :
( ? [V_27p_27] : p__01(s__02(cbool__00,chapp__02(s__02(cfun__02(c_27type_2epair_2eprod_27__02(V_27A_27,V_27B_27),cbool__00),V_27P_27),s__02(c_27type_2epair_2eprod_27__02(V_27A_27,V_27B_27),V_27p_27))))
<=> ? [V_27p__1_27,V_27p__2_27] : p__01(s__02(cbool__00,chapp__02(s__02(cfun__02(c_27type_2epair_2eprod_27__02(V_27A_27,V_27B_27),cbool__00),V_27P_27),s__02(c_27type_2epair_2eprod_27__02(V_27A_27,V_27B_27),c_27const_2epair_2e_2c_27__02(s__02(V_27A_27,V_27p__1_27),s__02(V_27B_27,V_27p__2_27)))))) ) ).
fof('thm.list.NOT_NIL_CONS',axiom,
! [V_27A_27,V_27a1_27,V_27a0_27] : s__02(c_27type_2elist_2elist_27__01(V_27A_27),c_27const_2elist_2eNIL_27__00) != s__02(c_27type_2elist_2elist_27__01(V_27A_27),c_27const_2elist_2eCONS_27__02(s__02(V_27A_27,V_27a0_27),s__02(c_27type_2elist_2elist_27__01(V_27A_27),V_27a1_27))) ).
fof('thm.clos_mti.intro_multi_ind',axiom,
! [V_27P_27] :
( ( ! [V_27max__app_27] : p__01(s__02(cbool__00,chapp__02(s__02(cfun__02(c_27type_2elist_2elist_27__01(c_27type_2eclosLang_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_2eclosLang_2eexp_27__00),cbool__00)),V_27P_27),s__02(c_27type_2enum_2enum_27__00,V_27max__app_27))),s__02(c_27type_2elist_2elist_27__01(c_27type_2eclosLang_2eexp_27__00),c_27const_2elist_2eNIL_27__00))))
& ! [V_27max__app_27,V_27e1_27,V_27e2_27,V_27es_27] :
( ( p__01(s__02(cbool__00,chapp__02(s__02(cfun__02(c_27type_2elist_2elist_27__01(c_27type_2eclosLang_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_2eclosLang_2eexp_27__00),cbool__00)),V_27P_27),s__02(c_27type_2enum_2enum_27__00,V_27max__app_27))),s__02(c_27type_2elist_2elist_27__01(c_27type_2eclosLang_2eexp_27__00),V_27es_27))))
& p__01(s__02(cbool__00,chapp__02(s__02(cfun__02(c_27type_2elist_2elist_27__01(c_27type_2eclosLang_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_2eclosLang_2eexp_27__00),cbool__00)),V_27P_27),s__02(c_27type_2enum_2enum_27__00,V_27max__app_27))),s__02(c_27type_2elist_2elist_27__01(c_27type_2eclosLang_2eexp_27__00),c_27const_2elist_2eCONS_27__02(s__02(c_27type_2eclosLang_2eexp_27__00,V_27e1_27),s__02(c_27type_2elist_2elist_27__01(c_27type_2eclosLang_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_2eclosLang_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_2eclosLang_2eexp_27__00),cbool__00)),V_27P_27),s__02(c_27type_2enum_2enum_27__00,V_27max__app_27))),s__02(c_27type_2elist_2elist_27__01(c_27type_2eclosLang_2eexp_27__00),c_27const_2elist_2eCONS_27__02(s__02(c_27type_2eclosLang_2eexp_27__00,V_27e2_27),s__02(c_27type_2elist_2elist_27__01(c_27type_2eclosLang_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_2eclosLang_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_2eclosLang_2eexp_27__00),cbool__00)),V_27P_27),s__02(c_27type_2enum_2enum_27__00,V_27max__app_27))),s__02(c_27type_2elist_2elist_27__01(c_27type_2eclosLang_2eexp_27__00),c_27const_2elist_2eCONS_27__02(s__02(c_27type_2eclosLang_2eexp_27__00,V_27e1_27),s__02(c_27type_2elist_2elist_27__01(c_27type_2eclosLang_2eexp_27__00),c_27const_2elist_2eCONS_27__02(s__02(c_27type_2eclosLang_2eexp_27__00,V_27e2_27),s__02(c_27type_2elist_2elist_27__01(c_27type_2eclosLang_2eexp_27__00),V_27es_27)))))))) )
& ! [V_27max__app_27,V_27t_27,V_27n_27] : p__01(s__02(cbool__00,chapp__02(s__02(cfun__02(c_27type_2elist_2elist_27__01(c_27type_2eclosLang_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_2eclosLang_2eexp_27__00),cbool__00)),V_27P_27),s__02(c_27type_2enum_2enum_27__00,V_27max__app_27))),s__02(c_27type_2elist_2elist_27__01(c_27type_2eclosLang_2eexp_27__00),c_27const_2elist_2eCONS_27__02(s__02(c_27type_2eclosLang_2eexp_27__00,c_27const_2eclosLang_2eVar_27__02(s__02(c_27type_2ebackend__common_2etra_27__00,V_27t_27),s__02(c_27type_2enum_2enum_27__00,V_27n_27))),s__02(c_27type_2elist_2elist_27__01(c_27type_2eclosLang_2eexp_27__00),c_27const_2elist_2eNIL_27__00))))))
& ! [V_27max__app_27,V_27t_27,V_27e1_27,V_27e2_27,V_27e3_27] :
( ( p__01(s__02(cbool__00,chapp__02(s__02(cfun__02(c_27type_2elist_2elist_27__01(c_27type_2eclosLang_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_2eclosLang_2eexp_27__00),cbool__00)),V_27P_27),s__02(c_27type_2enum_2enum_27__00,V_27max__app_27))),s__02(c_27type_2elist_2elist_27__01(c_27type_2eclosLang_2eexp_27__00),c_27const_2elist_2eCONS_27__02(s__02(c_27type_2eclosLang_2eexp_27__00,V_27e1_27),s__02(c_27type_2elist_2elist_27__01(c_27type_2eclosLang_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_2eclosLang_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_2eclosLang_2eexp_27__00),cbool__00)),V_27P_27),s__02(c_27type_2enum_2enum_27__00,V_27max__app_27))),s__02(c_27type_2elist_2elist_27__01(c_27type_2eclosLang_2eexp_27__00),c_27const_2elist_2eCONS_27__02(s__02(c_27type_2eclosLang_2eexp_27__00,V_27e2_27),s__02(c_27type_2elist_2elist_27__01(c_27type_2eclosLang_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_2eclosLang_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_2eclosLang_2eexp_27__00),cbool__00)),V_27P_27),s__02(c_27type_2enum_2enum_27__00,V_27max__app_27))),s__02(c_27type_2elist_2elist_27__01(c_27type_2eclosLang_2eexp_27__00),c_27const_2elist_2eCONS_27__02(s__02(c_27type_2eclosLang_2eexp_27__00,V_27e3_27),s__02(c_27type_2elist_2elist_27__01(c_27type_2eclosLang_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_2eclosLang_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_2eclosLang_2eexp_27__00),cbool__00)),V_27P_27),s__02(c_27type_2enum_2enum_27__00,V_27max__app_27))),s__02(c_27type_2elist_2elist_27__01(c_27type_2eclosLang_2eexp_27__00),c_27const_2elist_2eCONS_27__02(s__02(c_27type_2eclosLang_2eexp_27__00,c_27const_2eclosLang_2eIf_27__04(s__02(c_27type_2ebackend__common_2etra_27__00,V_27t_27),s__02(c_27type_2eclosLang_2eexp_27__00,V_27e1_27),s__02(c_27type_2eclosLang_2eexp_27__00,V_27e2_27),s__02(c_27type_2eclosLang_2eexp_27__00,V_27e3_27))),s__02(c_27type_2elist_2elist_27__01(c_27type_2eclosLang_2eexp_27__00),c_27const_2elist_2eNIL_27__00)))))) )
& ! [V_27max__app_27,V_27t_27,V_27es_27,V_27e_27] :
( ( p__01(s__02(cbool__00,chapp__02(s__02(cfun__02(c_27type_2elist_2elist_27__01(c_27type_2eclosLang_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_2eclosLang_2eexp_27__00),cbool__00)),V_27P_27),s__02(c_27type_2enum_2enum_27__00,V_27max__app_27))),s__02(c_27type_2elist_2elist_27__01(c_27type_2eclosLang_2eexp_27__00),V_27es_27))))
& p__01(s__02(cbool__00,chapp__02(s__02(cfun__02(c_27type_2elist_2elist_27__01(c_27type_2eclosLang_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_2eclosLang_2eexp_27__00),cbool__00)),V_27P_27),s__02(c_27type_2enum_2enum_27__00,V_27max__app_27))),s__02(c_27type_2elist_2elist_27__01(c_27type_2eclosLang_2eexp_27__00),c_27const_2elist_2eCONS_27__02(s__02(c_27type_2eclosLang_2eexp_27__00,V_27e_27),s__02(c_27type_2elist_2elist_27__01(c_27type_2eclosLang_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_2eclosLang_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_2eclosLang_2eexp_27__00),cbool__00)),V_27P_27),s__02(c_27type_2enum_2enum_27__00,V_27max__app_27))),s__02(c_27type_2elist_2elist_27__01(c_27type_2eclosLang_2eexp_27__00),c_27const_2elist_2eCONS_27__02(s__02(c_27type_2eclosLang_2eexp_27__00,c_27const_2eclosLang_2eLet_27__03(s__02(c_27type_2ebackend__common_2etra_27__00,V_27t_27),s__02(c_27type_2elist_2elist_27__01(c_27type_2eclosLang_2eexp_27__00),V_27es_27),s__02(c_27type_2eclosLang_2eexp_27__00,V_27e_27))),s__02(c_27type_2elist_2elist_27__01(c_27type_2eclosLang_2eexp_27__00),c_27const_2elist_2eNIL_27__00)))))) )
& ! [V_27max__app_27,V_27t_27,V_27e_27] :
( p__01(s__02(cbool__00,chapp__02(s__02(cfun__02(c_27type_2elist_2elist_27__01(c_27type_2eclosLang_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_2eclosLang_2eexp_27__00),cbool__00)),V_27P_27),s__02(c_27type_2enum_2enum_27__00,V_27max__app_27))),s__02(c_27type_2elist_2elist_27__01(c_27type_2eclosLang_2eexp_27__00),c_27const_2elist_2eCONS_27__02(s__02(c_27type_2eclosLang_2eexp_27__00,V_27e_27),s__02(c_27type_2elist_2elist_27__01(c_27type_2eclosLang_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_2eclosLang_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_2eclosLang_2eexp_27__00),cbool__00)),V_27P_27),s__02(c_27type_2enum_2enum_27__00,V_27max__app_27))),s__02(c_27type_2elist_2elist_27__01(c_27type_2eclosLang_2eexp_27__00),c_27const_2elist_2eCONS_27__02(s__02(c_27type_2eclosLang_2eexp_27__00,c_27const_2eclosLang_2eRaise_27__02(s__02(c_27type_2ebackend__common_2etra_27__00,V_27t_27),s__02(c_27type_2eclosLang_2eexp_27__00,V_27e_27))),s__02(c_27type_2elist_2elist_27__01(c_27type_2eclosLang_2eexp_27__00),c_27const_2elist_2eNIL_27__00)))))) )
& ! [V_27max__app_27,V_27t_27,V_27e1_27,V_27e2_27] :
( ( p__01(s__02(cbool__00,chapp__02(s__02(cfun__02(c_27type_2elist_2elist_27__01(c_27type_2eclosLang_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_2eclosLang_2eexp_27__00),cbool__00)),V_27P_27),s__02(c_27type_2enum_2enum_27__00,V_27max__app_27))),s__02(c_27type_2elist_2elist_27__01(c_27type_2eclosLang_2eexp_27__00),c_27const_2elist_2eCONS_27__02(s__02(c_27type_2eclosLang_2eexp_27__00,V_27e1_27),s__02(c_27type_2elist_2elist_27__01(c_27type_2eclosLang_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_2eclosLang_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_2eclosLang_2eexp_27__00),cbool__00)),V_27P_27),s__02(c_27type_2enum_2enum_27__00,V_27max__app_27))),s__02(c_27type_2elist_2elist_27__01(c_27type_2eclosLang_2eexp_27__00),c_27const_2elist_2eCONS_27__02(s__02(c_27type_2eclosLang_2eexp_27__00,V_27e2_27),s__02(c_27type_2elist_2elist_27__01(c_27type_2eclosLang_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_2eclosLang_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_2eclosLang_2eexp_27__00),cbool__00)),V_27P_27),s__02(c_27type_2enum_2enum_27__00,V_27max__app_27))),s__02(c_27type_2elist_2elist_27__01(c_27type_2eclosLang_2eexp_27__00),c_27const_2elist_2eCONS_27__02(s__02(c_27type_2eclosLang_2eexp_27__00,c_27const_2eclosLang_2eHandle_27__03(s__02(c_27type_2ebackend__common_2etra_27__00,V_27t_27),s__02(c_27type_2eclosLang_2eexp_27__00,V_27e1_27),s__02(c_27type_2eclosLang_2eexp_27__00,V_27e2_27))),s__02(c_27type_2elist_2elist_27__01(c_27type_2eclosLang_2eexp_27__00),c_27const_2elist_2eNIL_27__00)))))) )
& ! [V_27max__app_27,V_27t_27,V_27e_27] :
( p__01(s__02(cbool__00,chapp__02(s__02(cfun__02(c_27type_2elist_2elist_27__01(c_27type_2eclosLang_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_2eclosLang_2eexp_27__00),cbool__00)),V_27P_27),s__02(c_27type_2enum_2enum_27__00,V_27max__app_27))),s__02(c_27type_2elist_2elist_27__01(c_27type_2eclosLang_2eexp_27__00),c_27const_2elist_2eCONS_27__02(s__02(c_27type_2eclosLang_2eexp_27__00,V_27e_27),s__02(c_27type_2elist_2elist_27__01(c_27type_2eclosLang_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_2eclosLang_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_2eclosLang_2eexp_27__00),cbool__00)),V_27P_27),s__02(c_27type_2enum_2enum_27__00,V_27max__app_27))),s__02(c_27type_2elist_2elist_27__01(c_27type_2eclosLang_2eexp_27__00),c_27const_2elist_2eCONS_27__02(s__02(c_27type_2eclosLang_2eexp_27__00,c_27const_2eclosLang_2eTick_27__02(s__02(c_27type_2ebackend__common_2etra_27__00,V_27t_27),s__02(c_27type_2eclosLang_2eexp_27__00,V_27e_27))),s__02(c_27type_2elist_2elist_27__01(c_27type_2eclosLang_2eexp_27__00),c_27const_2elist_2eNIL_27__00)))))) )
& ! [V_27max__app_27,V_27t_27,V_27ticks_27,V_27n_27,V_27es_27] :
( p__01(s__02(cbool__00,chapp__02(s__02(cfun__02(c_27type_2elist_2elist_27__01(c_27type_2eclosLang_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_2eclosLang_2eexp_27__00),cbool__00)),V_27P_27),s__02(c_27type_2enum_2enum_27__00,V_27max__app_27))),s__02(c_27type_2elist_2elist_27__01(c_27type_2eclosLang_2eexp_27__00),V_27es_27))))
=> p__01(s__02(cbool__00,chapp__02(s__02(cfun__02(c_27type_2elist_2elist_27__01(c_27type_2eclosLang_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_2eclosLang_2eexp_27__00),cbool__00)),V_27P_27),s__02(c_27type_2enum_2enum_27__00,V_27max__app_27))),s__02(c_27type_2elist_2elist_27__01(c_27type_2eclosLang_2eexp_27__00),c_27const_2elist_2eCONS_27__02(s__02(c_27type_2eclosLang_2eexp_27__00,c_27const_2eclosLang_2eCall_27__04(s__02(c_27type_2ebackend__common_2etra_27__00,V_27t_27),s__02(c_27type_2enum_2enum_27__00,V_27ticks_27),s__02(c_27type_2enum_2enum_27__00,V_27n_27),s__02(c_27type_2elist_2elist_27__01(c_27type_2eclosLang_2eexp_27__00),V_27es_27))),s__02(c_27type_2elist_2elist_27__01(c_27type_2eclosLang_2eexp_27__00),c_27const_2elist_2eNIL_27__00)))))) )
& ! [V_27max__app_27,V_27t_27,V_27e_27,V_27es_27] :
( ( ! [V_27es_7c39_7c_27,V_27e_7c39_7c_27] :
( s__02(c_27type_2epair_2eprod_27__02(c_27type_2elist_2elist_27__01(c_27type_2eclosLang_2eexp_27__00),c_27type_2eclosLang_2eexp_27__00),c_27const_2epair_2e_2c_27__02(s__02(c_27type_2elist_2elist_27__01(c_27type_2eclosLang_2eexp_27__00),V_27es_7c39_7c_27),s__02(c_27type_2eclosLang_2eexp_27__00,V_27e_7c39_7c_27))) = s__02(c_27type_2epair_2eprod_27__02(c_27type_2elist_2elist_27__01(c_27type_2eclosLang_2eexp_27__00),c_27type_2eclosLang_2eexp_27__00),c_27const_2eclos__mti_2ecollect__apps_27__03(s__02(c_27type_2enum_2enum_27__00,V_27max__app_27),s__02(c_27type_2elist_2elist_27__01(c_27type_2eclosLang_2eexp_27__00),V_27es_27),s__02(c_27type_2eclosLang_2eexp_27__00,V_27e_27)))
=> p__01(s__02(cbool__00,chapp__02(s__02(cfun__02(c_27type_2elist_2elist_27__01(c_27type_2eclosLang_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_2eclosLang_2eexp_27__00),cbool__00)),V_27P_27),s__02(c_27type_2enum_2enum_27__00,V_27max__app_27))),s__02(c_27type_2elist_2elist_27__01(c_27type_2eclosLang_2eexp_27__00),V_27es_7c39_7c_27)))) )
& ! [V_27es_7c39_7c_27,V_27e_7c39_7c_27] :
( s__02(c_27type_2epair_2eprod_27__02(c_27type_2elist_2elist_27__01(c_27type_2eclosLang_2eexp_27__00),c_27type_2eclosLang_2eexp_27__00),c_27const_2epair_2e_2c_27__02(s__02(c_27type_2elist_2elist_27__01(c_27type_2eclosLang_2eexp_27__00),V_27es_7c39_7c_27),s__02(c_27type_2eclosLang_2eexp_27__00,V_27e_7c39_7c_27))) = s__02(c_27type_2epair_2eprod_27__02(c_27type_2elist_2elist_27__01(c_27type_2eclosLang_2eexp_27__00),c_27type_2eclosLang_2eexp_27__00),c_27const_2eclos__mti_2ecollect__apps_27__03(s__02(c_27type_2enum_2enum_27__00,V_27max__app_27),s__02(c_27type_2elist_2elist_27__01(c_27type_2eclosLang_2eexp_27__00),V_27es_27),s__02(c_27type_2eclosLang_2eexp_27__00,V_27e_27)))
=> p__01(s__02(cbool__00,chapp__02(s__02(cfun__02(c_27type_2elist_2elist_27__01(c_27type_2eclosLang_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_2eclosLang_2eexp_27__00),cbool__00)),V_27P_27),s__02(c_27type_2enum_2enum_27__00,V_27max__app_27))),s__02(c_27type_2elist_2elist_27__01(c_27type_2eclosLang_2eexp_27__00),c_27const_2elist_2eCONS_27__02(s__02(c_27type_2eclosLang_2eexp_27__00,V_27e_7c39_7c_27),s__02(c_27type_2elist_2elist_27__01(c_27type_2eclosLang_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_2eclosLang_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_2eclosLang_2eexp_27__00),cbool__00)),V_27P_27),s__02(c_27type_2enum_2enum_27__00,V_27max__app_27))),s__02(c_27type_2elist_2elist_27__01(c_27type_2eclosLang_2eexp_27__00),c_27const_2elist_2eCONS_27__02(s__02(c_27type_2eclosLang_2eexp_27__00,c_27const_2eclosLang_2eApp_27__04(s__02(c_27type_2ebackend__common_2etra_27__00,V_27t_27),s__02(c_27type_2eoption_2eoption_27__01(c_27type_2enum_2enum_27__00),c_27const_2eoption_2eNONE_27__00),s__02(c_27type_2eclosLang_2eexp_27__00,V_27e_27),s__02(c_27type_2elist_2elist_27__01(c_27type_2eclosLang_2eexp_27__00),V_27es_27))),s__02(c_27type_2elist_2elist_27__01(c_27type_2eclosLang_2eexp_27__00),c_27const_2elist_2eNIL_27__00)))))) )
& ! [V_27max__app_27,V_27t_27,V_27l_27,V_27e_27,V_27es_27] :
( ( p__01(s__02(cbool__00,chapp__02(s__02(cfun__02(c_27type_2elist_2elist_27__01(c_27type_2eclosLang_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_2eclosLang_2eexp_27__00),cbool__00)),V_27P_27),s__02(c_27type_2enum_2enum_27__00,V_27max__app_27))),s__02(c_27type_2elist_2elist_27__01(c_27type_2eclosLang_2eexp_27__00),V_27es_27))))
& p__01(s__02(cbool__00,chapp__02(s__02(cfun__02(c_27type_2elist_2elist_27__01(c_27type_2eclosLang_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_2eclosLang_2eexp_27__00),cbool__00)),V_27P_27),s__02(c_27type_2enum_2enum_27__00,V_27max__app_27))),s__02(c_27type_2elist_2elist_27__01(c_27type_2eclosLang_2eexp_27__00),c_27const_2elist_2eCONS_27__02(s__02(c_27type_2eclosLang_2eexp_27__00,V_27e_27),s__02(c_27type_2elist_2elist_27__01(c_27type_2eclosLang_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_2eclosLang_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_2eclosLang_2eexp_27__00),cbool__00)),V_27P_27),s__02(c_27type_2enum_2enum_27__00,V_27max__app_27))),s__02(c_27type_2elist_2elist_27__01(c_27type_2eclosLang_2eexp_27__00),c_27const_2elist_2eCONS_27__02(s__02(c_27type_2eclosLang_2eexp_27__00,c_27const_2eclosLang_2eApp_27__04(s__02(c_27type_2ebackend__common_2etra_27__00,V_27t_27),s__02(c_27type_2eoption_2eoption_27__01(c_27type_2enum_2enum_27__00),c_27const_2eoption_2eSOME_27__01(s__02(c_27type_2enum_2enum_27__00,V_27l_27))),s__02(c_27type_2eclosLang_2eexp_27__00,V_27e_27),s__02(c_27type_2elist_2elist_27__01(c_27type_2eclosLang_2eexp_27__00),V_27es_27))),s__02(c_27type_2elist_2elist_27__01(c_27type_2eclosLang_2eexp_27__00),c_27const_2elist_2eNIL_27__00)))))) )
& ! [V_27max__app_27,V_27t_27,V_27num__args_27,V_27e_27] :
( ! [V_27num__args_7c39_7c_27,V_27e_7c39_7c_27] :
( s__02(c_27type_2epair_2eprod_27__02(c_27type_2enum_2enum_27__00,c_27type_2eclosLang_2eexp_27__00),c_27const_2epair_2e_2c_27__02(s__02(c_27type_2enum_2enum_27__00,V_27num__args_7c39_7c_27),s__02(c_27type_2eclosLang_2eexp_27__00,V_27e_7c39_7c_27))) = s__02(c_27type_2epair_2eprod_27__02(c_27type_2enum_2enum_27__00,c_27type_2eclosLang_2eexp_27__00),c_27const_2eclos__mti_2ecollect__args_27__03(s__02(c_27type_2enum_2enum_27__00,V_27max__app_27),s__02(c_27type_2enum_2enum_27__00,V_27num__args_27),s__02(c_27type_2eclosLang_2eexp_27__00,V_27e_27)))
=> p__01(s__02(cbool__00,chapp__02(s__02(cfun__02(c_27type_2elist_2elist_27__01(c_27type_2eclosLang_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_2eclosLang_2eexp_27__00),cbool__00)),V_27P_27),s__02(c_27type_2enum_2enum_27__00,V_27max__app_27))),s__02(c_27type_2elist_2elist_27__01(c_27type_2eclosLang_2eexp_27__00),c_27const_2elist_2eCONS_27__02(s__02(c_27type_2eclosLang_2eexp_27__00,V_27e_7c39_7c_27),s__02(c_27type_2elist_2elist_27__01(c_27type_2eclosLang_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_2eclosLang_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_2eclosLang_2eexp_27__00),cbool__00)),V_27P_27),s__02(c_27type_2enum_2enum_27__00,V_27max__app_27))),s__02(c_27type_2elist_2elist_27__01(c_27type_2eclosLang_2eexp_27__00),c_27const_2elist_2eCONS_27__02(s__02(c_27type_2eclosLang_2eexp_27__00,c_27const_2eclosLang_2eFn_27__05(s__02(c_27type_2ebackend__common_2etra_27__00,V_27t_27),s__02(c_27type_2eoption_2eoption_27__01(c_27type_2enum_2enum_27__00),c_27const_2eoption_2eNONE_27__00),s__02(c_27type_2eoption_2eoption_27__01(c_27type_2elist_2elist_27__01(c_27type_2enum_2enum_27__00)),c_27const_2eoption_2eNONE_27__00),s__02(c_27type_2enum_2enum_27__00,V_27num__args_27),s__02(c_27type_2eclosLang_2eexp_27__00,V_27e_27))),s__02(c_27type_2elist_2elist_27__01(c_27type_2eclosLang_2eexp_27__00),c_27const_2elist_2eNIL_27__00)))))) )
& ! [V_27max__app_27,V_27t_27,V_27v46_27,V_27num__args_27,V_27e_27] :
( p__01(s__02(cbool__00,chapp__02(s__02(cfun__02(c_27type_2elist_2elist_27__01(c_27type_2eclosLang_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_2eclosLang_2eexp_27__00),cbool__00)),V_27P_27),s__02(c_27type_2enum_2enum_27__00,V_27max__app_27))),s__02(c_27type_2elist_2elist_27__01(c_27type_2eclosLang_2eexp_27__00),c_27const_2elist_2eCONS_27__02(s__02(c_27type_2eclosLang_2eexp_27__00,V_27e_27),s__02(c_27type_2elist_2elist_27__01(c_27type_2eclosLang_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_2eclosLang_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_2eclosLang_2eexp_27__00),cbool__00)),V_27P_27),s__02(c_27type_2enum_2enum_27__00,V_27max__app_27))),s__02(c_27type_2elist_2elist_27__01(c_27type_2eclosLang_2eexp_27__00),c_27const_2elist_2eCONS_27__02(s__02(c_27type_2eclosLang_2eexp_27__00,c_27const_2eclosLang_2eFn_27__05(s__02(c_27type_2ebackend__common_2etra_27__00,V_27t_27),s__02(c_27type_2eoption_2eoption_27__01(c_27type_2enum_2enum_27__00),c_27const_2eoption_2eNONE_27__00),s__02(c_27type_2eoption_2eoption_27__01(c_27type_2elist_2elist_27__01(c_27type_2enum_2enum_27__00)),c_27const_2eoption_2eSOME_27__01(s__02(c_27type_2elist_2elist_27__01(c_27type_2enum_2enum_27__00),V_27v46_27))),s__02(c_27type_2enum_2enum_27__00,V_27num__args_27),s__02(c_27type_2eclosLang_2eexp_27__00,V_27e_27))),s__02(c_27type_2elist_2elist_27__01(c_27type_2eclosLang_2eexp_27__00),c_27const_2elist_2eNIL_27__00)))))) )
& ! [V_27max__app_27,V_27t_27,V_27v44_27,V_27fvs_27,V_27num__args_27,V_27e_27] :
( p__01(s__02(cbool__00,chapp__02(s__02(cfun__02(c_27type_2elist_2elist_27__01(c_27type_2eclosLang_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_2eclosLang_2eexp_27__00),cbool__00)),V_27P_27),s__02(c_27type_2enum_2enum_27__00,V_27max__app_27))),s__02(c_27type_2elist_2elist_27__01(c_27type_2eclosLang_2eexp_27__00),c_27const_2elist_2eCONS_27__02(s__02(c_27type_2eclosLang_2eexp_27__00,V_27e_27),s__02(c_27type_2elist_2elist_27__01(c_27type_2eclosLang_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_2eclosLang_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_2eclosLang_2eexp_27__00),cbool__00)),V_27P_27),s__02(c_27type_2enum_2enum_27__00,V_27max__app_27))),s__02(c_27type_2elist_2elist_27__01(c_27type_2eclosLang_2eexp_27__00),c_27const_2elist_2eCONS_27__02(s__02(c_27type_2eclosLang_2eexp_27__00,c_27const_2eclosLang_2eFn_27__05(s__02(c_27type_2ebackend__common_2etra_27__00,V_27t_27),s__02(c_27type_2eoption_2eoption_27__01(c_27type_2enum_2enum_27__00),c_27const_2eoption_2eSOME_27__01(s__02(c_27type_2enum_2enum_27__00,V_27v44_27))),s__02(c_27type_2eoption_2eoption_27__01(c_27type_2elist_2elist_27__01(c_27type_2enum_2enum_27__00)),V_27fvs_27),s__02(c_27type_2enum_2enum_27__00,V_27num__args_27),s__02(c_27type_2eclosLang_2eexp_27__00,V_27e_27))),s__02(c_27type_2elist_2elist_27__01(c_27type_2eclosLang_2eexp_27__00),c_27const_2elist_2eNIL_27__00)))))) )
& ! [V_27max__app_27,V_27t_27,V_27funs_27,V_27e_27] :
( ( ! [V_27num__args_27,V_27e_7c39_7c_27,V_27num__args_7c39_7c_27,V_27e_7c39_7c_7c39_7c_27] :
( ( p__01(s__02(cbool__00,c_27const_2ebool_2eIN_27__02(s__02(c_27type_2epair_2eprod_27__02(c_27type_2enum_2enum_27__00,c_27type_2eclosLang_2eexp_27__00),c_27const_2epair_2e_2c_27__02(s__02(c_27type_2enum_2enum_27__00,V_27num__args_27),s__02(c_27type_2eclosLang_2eexp_27__00,V_27e_7c39_7c_27))),s__02(cfun__02(c_27type_2epair_2eprod_27__02(c_27type_2enum_2enum_27__00,c_27type_2eclosLang_2eexp_27__00),cbool__00),c_27const_2elist_2eLIST__TO__SET_27__01(s__02(c_27type_2elist_2elist_27__01(c_27type_2epair_2eprod_27__02(c_27type_2enum_2enum_27__00,c_27type_2eclosLang_2eexp_27__00)),V_27funs_27))))))
& s__02(c_27type_2epair_2eprod_27__02(c_27type_2enum_2enum_27__00,c_27type_2eclosLang_2eexp_27__00),c_27const_2epair_2e_2c_27__02(s__02(c_27type_2enum_2enum_27__00,V_27num__args_7c39_7c_27),s__02(c_27type_2eclosLang_2eexp_27__00,V_27e_7c39_7c_7c39_7c_27))) = s__02(c_27type_2epair_2eprod_27__02(c_27type_2enum_2enum_27__00,c_27type_2eclosLang_2eexp_27__00),c_27const_2eclos__mti_2ecollect__args_27__03(s__02(c_27type_2enum_2enum_27__00,V_27max__app_27),s__02(c_27type_2enum_2enum_27__00,V_27num__args_27),s__02(c_27type_2eclosLang_2eexp_27__00,V_27e_7c39_7c_27))) )
=> p__01(s__02(cbool__00,chapp__02(s__02(cfun__02(c_27type_2elist_2elist_27__01(c_27type_2eclosLang_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_2eclosLang_2eexp_27__00),cbool__00)),V_27P_27),s__02(c_27type_2enum_2enum_27__00,V_27max__app_27))),s__02(c_27type_2elist_2elist_27__01(c_27type_2eclosLang_2eexp_27__00),c_27const_2elist_2eCONS_27__02(s__02(c_27type_2eclosLang_2eexp_27__00,V_27e_7c39_7c_7c39_7c_27),s__02(c_27type_2elist_2elist_27__01(c_27type_2eclosLang_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_2eclosLang_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_2eclosLang_2eexp_27__00),cbool__00)),V_27P_27),s__02(c_27type_2enum_2enum_27__00,V_27max__app_27))),s__02(c_27type_2elist_2elist_27__01(c_27type_2eclosLang_2eexp_27__00),c_27const_2elist_2eCONS_27__02(s__02(c_27type_2eclosLang_2eexp_27__00,V_27e_27),s__02(c_27type_2elist_2elist_27__01(c_27type_2eclosLang_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_2eclosLang_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_2eclosLang_2eexp_27__00),cbool__00)),V_27P_27),s__02(c_27type_2enum_2enum_27__00,V_27max__app_27))),s__02(c_27type_2elist_2elist_27__01(c_27type_2eclosLang_2eexp_27__00),c_27const_2elist_2eCONS_27__02(s__02(c_27type_2eclosLang_2eexp_27__00,c_27const_2eclosLang_2eLetrec_27__05(s__02(c_27type_2ebackend__common_2etra_27__00,V_27t_27),s__02(c_27type_2eoption_2eoption_27__01(c_27type_2enum_2enum_27__00),c_27const_2eoption_2eNONE_27__00),s__02(c_27type_2eoption_2eoption_27__01(c_27type_2elist_2elist_27__01(c_27type_2enum_2enum_27__00)),c_27const_2eoption_2eNONE_27__00),s__02(c_27type_2elist_2elist_27__01(c_27type_2epair_2eprod_27__02(c_27type_2enum_2enum_27__00,c_27type_2eclosLang_2eexp_27__00)),V_27funs_27),s__02(c_27type_2eclosLang_2eexp_27__00,V_27e_27))),s__02(c_27type_2elist_2elist_27__01(c_27type_2eclosLang_2eexp_27__00),c_27const_2elist_2eNIL_27__00)))))) )
& ! [V_27max__app_27,V_27t_27,V_27loc_27,V_27fvs_27,V_27funs_27,V_27e_27] :
( p__01(s__02(cbool__00,chapp__02(s__02(cfun__02(c_27type_2elist_2elist_27__01(c_27type_2eclosLang_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_2eclosLang_2eexp_27__00),cbool__00)),V_27P_27),s__02(c_27type_2enum_2enum_27__00,V_27max__app_27))),s__02(c_27type_2elist_2elist_27__01(c_27type_2eclosLang_2eexp_27__00),c_27const_2elist_2eCONS_27__02(s__02(c_27type_2eclosLang_2eexp_27__00,V_27e_27),s__02(c_27type_2elist_2elist_27__01(c_27type_2eclosLang_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_2eclosLang_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_2eclosLang_2eexp_27__00),cbool__00)),V_27P_27),s__02(c_27type_2enum_2enum_27__00,V_27max__app_27))),s__02(c_27type_2elist_2elist_27__01(c_27type_2eclosLang_2eexp_27__00),c_27const_2elist_2eCONS_27__02(s__02(c_27type_2eclosLang_2eexp_27__00,c_27const_2eclosLang_2eLetrec_27__05(s__02(c_27type_2ebackend__common_2etra_27__00,V_27t_27),s__02(c_27type_2eoption_2eoption_27__01(c_27type_2enum_2enum_27__00),c_27const_2eoption_2eSOME_27__01(s__02(c_27type_2enum_2enum_27__00,V_27loc_27))),s__02(c_27type_2eoption_2eoption_27__01(c_27type_2elist_2elist_27__01(c_27type_2enum_2enum_27__00)),V_27fvs_27),s__02(c_27type_2elist_2elist_27__01(c_27type_2epair_2eprod_27__02(c_27type_2enum_2enum_27__00,c_27type_2eclosLang_2eexp_27__00)),V_27funs_27),s__02(c_27type_2eclosLang_2eexp_27__00,V_27e_27))),s__02(c_27type_2elist_2elist_27__01(c_27type_2eclosLang_2eexp_27__00),c_27const_2elist_2eNIL_27__00)))))) )
& ! [V_27max__app_27,V_27t_27,V_27fvs_27,V_27funs_27,V_27e_27] :
( p__01(s__02(cbool__00,chapp__02(s__02(cfun__02(c_27type_2elist_2elist_27__01(c_27type_2eclosLang_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_2eclosLang_2eexp_27__00),cbool__00)),V_27P_27),s__02(c_27type_2enum_2enum_27__00,V_27max__app_27))),s__02(c_27type_2elist_2elist_27__01(c_27type_2eclosLang_2eexp_27__00),c_27const_2elist_2eCONS_27__02(s__02(c_27type_2eclosLang_2eexp_27__00,V_27e_27),s__02(c_27type_2elist_2elist_27__01(c_27type_2eclosLang_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_2eclosLang_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_2eclosLang_2eexp_27__00),cbool__00)),V_27P_27),s__02(c_27type_2enum_2enum_27__00,V_27max__app_27))),s__02(c_27type_2elist_2elist_27__01(c_27type_2eclosLang_2eexp_27__00),c_27const_2elist_2eCONS_27__02(s__02(c_27type_2eclosLang_2eexp_27__00,c_27const_2eclosLang_2eLetrec_27__05(s__02(c_27type_2ebackend__common_2etra_27__00,V_27t_27),s__02(c_27type_2eoption_2eoption_27__01(c_27type_2enum_2enum_27__00),c_27const_2eoption_2eNONE_27__00),s__02(c_27type_2eoption_2eoption_27__01(c_27type_2elist_2elist_27__01(c_27type_2enum_2enum_27__00)),c_27const_2eoption_2eSOME_27__01(s__02(c_27type_2elist_2elist_27__01(c_27type_2enum_2enum_27__00),V_27fvs_27))),s__02(c_27type_2elist_2elist_27__01(c_27type_2epair_2eprod_27__02(c_27type_2enum_2enum_27__00,c_27type_2eclosLang_2eexp_27__00)),V_27funs_27),s__02(c_27type_2eclosLang_2eexp_27__00,V_27e_27))),s__02(c_27type_2elist_2elist_27__01(c_27type_2eclosLang_2eexp_27__00),c_27const_2elist_2eNIL_27__00)))))) )
& ! [V_27max__app_27,V_27t_27,V_27op_27,V_27es_27] :
( p__01(s__02(cbool__00,chapp__02(s__02(cfun__02(c_27type_2elist_2elist_27__01(c_27type_2eclosLang_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_2eclosLang_2eexp_27__00),cbool__00)),V_27P_27),s__02(c_27type_2enum_2enum_27__00,V_27max__app_27))),s__02(c_27type_2elist_2elist_27__01(c_27type_2eclosLang_2eexp_27__00),V_27es_27))))
=> p__01(s__02(cbool__00,chapp__02(s__02(cfun__02(c_27type_2elist_2elist_27__01(c_27type_2eclosLang_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_2eclosLang_2eexp_27__00),cbool__00)),V_27P_27),s__02(c_27type_2enum_2enum_27__00,V_27max__app_27))),s__02(c_27type_2elist_2elist_27__01(c_27type_2eclosLang_2eexp_27__00),c_27const_2elist_2eCONS_27__02(s__02(c_27type_2eclosLang_2eexp_27__00,c_27const_2eclosLang_2eOp_27__03(s__02(c_27type_2ebackend__common_2etra_27__00,V_27t_27),s__02(c_27type_2eclosLang_2eop_27__00,V_27op_27),s__02(c_27type_2elist_2elist_27__01(c_27type_2eclosLang_2eexp_27__00),V_27es_27))),s__02(c_27type_2elist_2elist_27__01(c_27type_2eclosLang_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_2eclosLang_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_2eclosLang_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_2eclosLang_2eexp_27__00),V_27v1_27)))) ) ).
fof('thm.clos_mti.intro_multi_def',axiom,
! [V__7] :
( ! [V_27num__args_7c39_7c_27,V_27max__app_27,V_27e_7c39_7c_7c39_7c_27] : s__02(c_27type_2epair_2eprod_27__02(c_27type_2enum_2enum_27__00,c_27type_2eclosLang_2eexp_27__00),chapp__02(s__02(cfun__02(c_27type_2eclosLang_2eexp_27__00,c_27type_2epair_2eprod_27__02(c_27type_2enum_2enum_27__00,c_27type_2eclosLang_2eexp_27__00)),chapp__02(s__02(cfun__02(c_27type_2enum_2enum_27__00,cfun__02(c_27type_2eclosLang_2eexp_27__00,c_27type_2epair_2eprod_27__02(c_27type_2enum_2enum_27__00,c_27type_2eclosLang_2eexp_27__00))),chapp__02(s__02(cfun__02(c_27type_2enum_2enum_27__00,cfun__02(c_27type_2enum_2enum_27__00,cfun__02(c_27type_2eclosLang_2eexp_27__00,c_27type_2epair_2eprod_27__02(c_27type_2enum_2enum_27__00,c_27type_2eclosLang_2eexp_27__00)))),V__7),s__02(c_27type_2enum_2enum_27__00,V_27num__args_7c39_7c_27))),s__02(c_27type_2enum_2enum_27__00,V_27max__app_27))),s__02(c_27type_2eclosLang_2eexp_27__00,V_27e_7c39_7c_7c39_7c_27))) = s__02(c_27type_2epair_2eprod_27__02(c_27type_2enum_2enum_27__00,c_27type_2eclosLang_2eexp_27__00),c_27const_2epair_2e_2c_27__02(s__02(c_27type_2enum_2enum_27__00,V_27num__args_7c39_7c_27),s__02(c_27type_2eclosLang_2eexp_27__00,c_27const_2elist_2eHD_27__01(s__02(c_27type_2elist_2elist_27__01(c_27type_2eclosLang_2eexp_27__00),c_27const_2eclos__mti_2eintro__multi_27__02(s__02(c_27type_2enum_2enum_27__00,V_27max__app_27),s__02(c_27type_2elist_2elist_27__01(c_27type_2eclosLang_2eexp_27__00),c_27const_2elist_2eCONS_27__02(s__02(c_27type_2eclosLang_2eexp_27__00,V_27e_7c39_7c_7c39_7c_27),s__02(c_27type_2elist_2elist_27__01(c_27type_2eclosLang_2eexp_27__00),c_27const_2elist_2eNIL_27__00)))))))))
=> ! [V__6] :
( ! [V_27max__app_27,V_27num__args_7c39_7c_27] : s__02(cfun__02(c_27type_2eclosLang_2eexp_27__00,c_27type_2epair_2eprod_27__02(c_27type_2enum_2enum_27__00,c_27type_2eclosLang_2eexp_27__00)),chapp__02(s__02(cfun__02(c_27type_2enum_2enum_27__00,cfun__02(c_27type_2eclosLang_2eexp_27__00,c_27type_2epair_2eprod_27__02(c_27type_2enum_2enum_27__00,c_27type_2eclosLang_2eexp_27__00))),chapp__02(s__02(cfun__02(c_27type_2enum_2enum_27__00,cfun__02(c_27type_2enum_2enum_27__00,cfun__02(c_27type_2eclosLang_2eexp_27__00,c_27type_2epair_2eprod_27__02(c_27type_2enum_2enum_27__00,c_27type_2eclosLang_2eexp_27__00)))),V__6),s__02(c_27type_2enum_2enum_27__00,V_27max__app_27))),s__02(c_27type_2enum_2enum_27__00,V_27num__args_7c39_7c_27))) = s__02(cfun__02(c_27type_2eclosLang_2eexp_27__00,c_27type_2epair_2eprod_27__02(c_27type_2enum_2enum_27__00,c_27type_2eclosLang_2eexp_27__00)),chapp__02(s__02(cfun__02(c_27type_2enum_2enum_27__00,cfun__02(c_27type_2eclosLang_2eexp_27__00,c_27type_2epair_2eprod_27__02(c_27type_2enum_2enum_27__00,c_27type_2eclosLang_2eexp_27__00))),chapp__02(s__02(cfun__02(c_27type_2enum_2enum_27__00,cfun__02(c_27type_2enum_2enum_27__00,cfun__02(c_27type_2eclosLang_2eexp_27__00,c_27type_2epair_2eprod_27__02(c_27type_2enum_2enum_27__00,c_27type_2eclosLang_2eexp_27__00)))),V__7),s__02(c_27type_2enum_2enum_27__00,V_27num__args_7c39_7c_27))),s__02(c_27type_2enum_2enum_27__00,V_27max__app_27)))
=> ! [V__5] :
( ! [V_27max__app_27,V_27num__args_27,V_27e_7c39_7c_27] : s__02(c_27type_2epair_2eprod_27__02(c_27type_2enum_2enum_27__00,c_27type_2eclosLang_2eexp_27__00),chapp__02(s__02(cfun__02(c_27type_2eclosLang_2eexp_27__00,c_27type_2epair_2eprod_27__02(c_27type_2enum_2enum_27__00,c_27type_2eclosLang_2eexp_27__00)),chapp__02(s__02(cfun__02(c_27type_2enum_2enum_27__00,cfun__02(c_27type_2eclosLang_2eexp_27__00,c_27type_2epair_2eprod_27__02(c_27type_2enum_2enum_27__00,c_27type_2eclosLang_2eexp_27__00))),chapp__02(s__02(cfun__02(c_27type_2enum_2enum_27__00,cfun__02(c_27type_2enum_2enum_27__00,cfun__02(c_27type_2eclosLang_2eexp_27__00,c_27type_2epair_2eprod_27__02(c_27type_2enum_2enum_27__00,c_27type_2eclosLang_2eexp_27__00)))),V__5),s__02(c_27type_2enum_2enum_27__00,V_27max__app_27))),s__02(c_27type_2enum_2enum_27__00,V_27num__args_27))),s__02(c_27type_2eclosLang_2eexp_27__00,V_27e_7c39_7c_27))) = s__02(c_27type_2epair_2eprod_27__02(c_27type_2enum_2enum_27__00,c_27type_2eclosLang_2eexp_27__00),c_27const_2ebool_2eLET_27__02(s__02(cfun__02(c_27type_2epair_2eprod_27__02(c_27type_2enum_2enum_27__00,c_27type_2eclosLang_2eexp_27__00),c_27type_2epair_2eprod_27__02(c_27type_2enum_2enum_27__00,c_27type_2eclosLang_2eexp_27__00)),c_27const_2epair_2eUNCURRY_27__01(s__02(cfun__02(c_27type_2enum_2enum_27__00,cfun__02(c_27type_2eclosLang_2eexp_27__00,c_27type_2epair_2eprod_27__02(c_27type_2enum_2enum_27__00,c_27type_2eclosLang_2eexp_27__00))),chapp__02(s__02(cfun__02(c_27type_2enum_2enum_27__00,cfun__02(c_27type_2enum_2enum_27__00,cfun__02(c_27type_2eclosLang_2eexp_27__00,c_27type_2epair_2eprod_27__02(c_27type_2enum_2enum_27__00,c_27type_2eclosLang_2eexp_27__00)))),V__6),s__02(c_27type_2enum_2enum_27__00,V_27max__app_27))))),s__02(c_27type_2epair_2eprod_27__02(c_27type_2enum_2enum_27__00,c_27type_2eclosLang_2eexp_27__00),c_27const_2eclos__mti_2ecollect__args_27__03(s__02(c_27type_2enum_2enum_27__00,V_27max__app_27),s__02(c_27type_2enum_2enum_27__00,V_27num__args_27),s__02(c_27type_2eclosLang_2eexp_27__00,V_27e_7c39_7c_27)))))
=> ! [V__4] :
( ! [V_27max__app_27,V_27num__args_27] : s__02(cfun__02(c_27type_2eclosLang_2eexp_27__00,c_27type_2epair_2eprod_27__02(c_27type_2enum_2enum_27__00,c_27type_2eclosLang_2eexp_27__00)),chapp__02(s__02(cfun__02(c_27type_2enum_2enum_27__00,cfun__02(c_27type_2eclosLang_2eexp_27__00,c_27type_2epair_2eprod_27__02(c_27type_2enum_2enum_27__00,c_27type_2eclosLang_2eexp_27__00))),chapp__02(s__02(cfun__02(c_27type_2enum_2enum_27__00,cfun__02(c_27type_2enum_2enum_27__00,cfun__02(c_27type_2eclosLang_2eexp_27__00,c_27type_2epair_2eprod_27__02(c_27type_2enum_2enum_27__00,c_27type_2eclosLang_2eexp_27__00)))),V__4),s__02(c_27type_2enum_2enum_27__00,V_27max__app_27))),s__02(c_27type_2enum_2enum_27__00,V_27num__args_27))) = s__02(cfun__02(c_27type_2eclosLang_2eexp_27__00,c_27type_2epair_2eprod_27__02(c_27type_2enum_2enum_27__00,c_27type_2eclosLang_2eexp_27__00)),chapp__02(s__02(cfun__02(c_27type_2enum_2enum_27__00,cfun__02(c_27type_2eclosLang_2eexp_27__00,c_27type_2epair_2eprod_27__02(c_27type_2enum_2enum_27__00,c_27type_2eclosLang_2eexp_27__00))),chapp__02(s__02(cfun__02(c_27type_2enum_2enum_27__00,cfun__02(c_27type_2enum_2enum_27__00,cfun__02(c_27type_2eclosLang_2eexp_27__00,c_27type_2epair_2eprod_27__02(c_27type_2enum_2enum_27__00,c_27type_2eclosLang_2eexp_27__00)))),V__5),s__02(c_27type_2enum_2enum_27__00,V_27max__app_27))),s__02(c_27type_2enum_2enum_27__00,V_27num__args_27)))
=> ! [V__3] :
( ! [V_27t_27,V_27num__args_7c39_7c_27,V_27max__app_27,V_27e_7c39_7c_27] : s__02(c_27type_2elist_2elist_27__01(c_27type_2eclosLang_2eexp_27__00),chapp__02(s__02(cfun__02(c_27type_2eclosLang_2eexp_27__00,c_27type_2elist_2elist_27__01(c_27type_2eclosLang_2eexp_27__00)),chapp__02(s__02(cfun__02(c_27type_2enum_2enum_27__00,cfun__02(c_27type_2eclosLang_2eexp_27__00,c_27type_2elist_2elist_27__01(c_27type_2eclosLang_2eexp_27__00))),chapp__02(s__02(cfun__02(c_27type_2enum_2enum_27__00,cfun__02(c_27type_2enum_2enum_27__00,cfun__02(c_27type_2eclosLang_2eexp_27__00,c_27type_2elist_2elist_27__01(c_27type_2eclosLang_2eexp_27__00)))),chapp__02(s__02(cfun__02(c_27type_2ebackend__common_2etra_27__00,cfun__02(c_27type_2enum_2enum_27__00,cfun__02(c_27type_2enum_2enum_27__00,cfun__02(c_27type_2eclosLang_2eexp_27__00,c_27type_2elist_2elist_27__01(c_27type_2eclosLang_2eexp_27__00))))),V__3),s__02(c_27type_2ebackend__common_2etra_27__00,V_27t_27))),s__02(c_27type_2enum_2enum_27__00,V_27num__args_7c39_7c_27))),s__02(c_27type_2enum_2enum_27__00,V_27max__app_27))),s__02(c_27type_2eclosLang_2eexp_27__00,V_27e_7c39_7c_27))) = s__02(c_27type_2elist_2elist_27__01(c_27type_2eclosLang_2eexp_27__00),c_27const_2elist_2eCONS_27__02(s__02(c_27type_2eclosLang_2eexp_27__00,c_27const_2eclosLang_2eFn_27__05(s__02(c_27type_2ebackend__common_2etra_27__00,V_27t_27),s__02(c_27type_2eoption_2eoption_27__01(c_27type_2enum_2enum_27__00),c_27const_2eoption_2eNONE_27__00),s__02(c_27type_2eoption_2eoption_27__01(c_27type_2elist_2elist_27__01(c_27type_2enum_2enum_27__00)),c_27const_2eoption_2eNONE_27__00),s__02(c_27type_2enum_2enum_27__00,V_27num__args_7c39_7c_27),s__02(c_27type_2eclosLang_2eexp_27__00,c_27const_2elist_2eHD_27__01(s__02(c_27type_2elist_2elist_27__01(c_27type_2eclosLang_2eexp_27__00),c_27const_2eclos__mti_2eintro__multi_27__02(s__02(c_27type_2enum_2enum_27__00,V_27max__app_27),s__02(c_27type_2elist_2elist_27__01(c_27type_2eclosLang_2eexp_27__00),c_27const_2elist_2eCONS_27__02(s__02(c_27type_2eclosLang_2eexp_27__00,V_27e_7c39_7c_27),s__02(c_27type_2elist_2elist_27__01(c_27type_2eclosLang_2eexp_27__00),c_27const_2elist_2eNIL_27__00))))))))),s__02(c_27type_2elist_2elist_27__01(c_27type_2eclosLang_2eexp_27__00),c_27const_2elist_2eNIL_27__00)))
=> ! [V__2] :
( ! [V_27t_27,V_27max__app_27,V_27num__args_7c39_7c_27] : s__02(cfun__02(c_27type_2eclosLang_2eexp_27__00,c_27type_2elist_2elist_27__01(c_27type_2eclosLang_2eexp_27__00)),chapp__02(s__02(cfun__02(c_27type_2enum_2enum_27__00,cfun__02(c_27type_2eclosLang_2eexp_27__00,c_27type_2elist_2elist_27__01(c_27type_2eclosLang_2eexp_27__00))),chapp__02(s__02(cfun__02(c_27type_2enum_2enum_27__00,cfun__02(c_27type_2enum_2enum_27__00,cfun__02(c_27type_2eclosLang_2eexp_27__00,c_27type_2elist_2elist_27__01(c_27type_2eclosLang_2eexp_27__00)))),chapp__02(s__02(cfun__02(c_27type_2ebackend__common_2etra_27__00,cfun__02(c_27type_2enum_2enum_27__00,cfun__02(c_27type_2enum_2enum_27__00,cfun__02(c_27type_2eclosLang_2eexp_27__00,c_27type_2elist_2elist_27__01(c_27type_2eclosLang_2eexp_27__00))))),V__2),s__02(c_27type_2ebackend__common_2etra_27__00,V_27t_27))),s__02(c_27type_2enum_2enum_27__00,V_27max__app_27))),s__02(c_27type_2enum_2enum_27__00,V_27num__args_7c39_7c_27))) = s__02(cfun__02(c_27type_2eclosLang_2eexp_27__00,c_27type_2elist_2elist_27__01(c_27type_2eclosLang_2eexp_27__00)),chapp__02(s__02(cfun__02(c_27type_2enum_2enum_27__00,cfun__02(c_27type_2eclosLang_2eexp_27__00,c_27type_2elist_2elist_27__01(c_27type_2eclosLang_2eexp_27__00))),chapp__02(s__02(cfun__02(c_27type_2enum_2enum_27__00,cfun__02(c_27type_2enum_2enum_27__00,cfun__02(c_27type_2eclosLang_2eexp_27__00,c_27type_2elist_2elist_27__01(c_27type_2eclosLang_2eexp_27__00)))),chapp__02(s__02(cfun__02(c_27type_2ebackend__common_2etra_27__00,cfun__02(c_27type_2enum_2enum_27__00,cfun__02(c_27type_2enum_2enum_27__00,cfun__02(c_27type_2eclosLang_2eexp_27__00,c_27type_2elist_2elist_27__01(c_27type_2eclosLang_2eexp_27__00))))),V__3),s__02(c_27type_2ebackend__common_2etra_27__00,V_27t_27))),s__02(c_27type_2enum_2enum_27__00,V_27num__args_7c39_7c_27))),s__02(c_27type_2enum_2enum_27__00,V_27max__app_27)))
=> ! [V__1] :
( ! [V_27t_27,V_27max__app_27,V_27es_7c39_7c_27,V_27e_7c39_7c_27] : s__02(c_27type_2elist_2elist_27__01(c_27type_2eclosLang_2eexp_27__00),chapp__02(s__02(cfun__02(c_27type_2eclosLang_2eexp_27__00,c_27type_2elist_2elist_27__01(c_27type_2eclosLang_2eexp_27__00)),chapp__02(s__02(cfun__02(c_27type_2elist_2elist_27__01(c_27type_2eclosLang_2eexp_27__00),cfun__02(c_27type_2eclosLang_2eexp_27__00,c_27type_2elist_2elist_27__01(c_27type_2eclosLang_2eexp_27__00))),chapp__02(s__02(cfun__02(c_27type_2enum_2enum_27__00,cfun__02(c_27type_2elist_2elist_27__01(c_27type_2eclosLang_2eexp_27__00),cfun__02(c_27type_2eclosLang_2eexp_27__00,c_27type_2elist_2elist_27__01(c_27type_2eclosLang_2eexp_27__00)))),chapp__02(s__02(cfun__02(c_27type_2ebackend__common_2etra_27__00,cfun__02(c_27type_2enum_2enum_27__00,cfun__02(c_27type_2elist_2elist_27__01(c_27type_2eclosLang_2eexp_27__00),cfun__02(c_27type_2eclosLang_2eexp_27__00,c_27type_2elist_2elist_27__01(c_27type_2eclosLang_2eexp_27__00))))),V__1),s__02(c_27type_2ebackend__common_2etra_27__00,V_27t_27))),s__02(c_27type_2enum_2enum_27__00,V_27max__app_27))),s__02(c_27type_2elist_2elist_27__01(c_27type_2eclosLang_2eexp_27__00),V_27es_7c39_7c_27))),s__02(c_27type_2eclosLang_2eexp_27__00,V_27e_7c39_7c_27))) = s__02(c_27type_2elist_2elist_27__01(c_27type_2eclosLang_2eexp_27__00),c_27const_2elist_2eCONS_27__02(s__02(c_27type_2eclosLang_2eexp_27__00,c_27const_2eclosLang_2eApp_27__04(s__02(c_27type_2ebackend__common_2etra_27__00,V_27t_27),s__02(c_27type_2eoption_2eoption_27__01(c_27type_2enum_2enum_27__00),c_27const_2eoption_2eNONE_27__00),s__02(c_27type_2eclosLang_2eexp_27__00,c_27const_2elist_2eHD_27__01(s__02(c_27type_2elist_2elist_27__01(c_27type_2eclosLang_2eexp_27__00),c_27const_2eclos__mti_2eintro__multi_27__02(s__02(c_27type_2enum_2enum_27__00,V_27max__app_27),s__02(c_27type_2elist_2elist_27__01(c_27type_2eclosLang_2eexp_27__00),c_27const_2elist_2eCONS_27__02(s__02(c_27type_2eclosLang_2eexp_27__00,V_27e_7c39_7c_27),s__02(c_27type_2elist_2elist_27__01(c_27type_2eclosLang_2eexp_27__00),c_27const_2elist_2eNIL_27__00))))))),s__02(c_27type_2elist_2elist_27__01(c_27type_2eclosLang_2eexp_27__00),c_27const_2eclos__mti_2eintro__multi_27__02(s__02(c_27type_2enum_2enum_27__00,V_27max__app_27),s__02(c_27type_2elist_2elist_27__01(c_27type_2eclosLang_2eexp_27__00),V_27es_7c39_7c_27))))),s__02(c_27type_2elist_2elist_27__01(c_27type_2eclosLang_2eexp_27__00),c_27const_2elist_2eNIL_27__00)))
=> ! [V__0] :
( ! [V_27t_27,V_27max__app_27,V_27es_7c39_7c_27] : s__02(cfun__02(c_27type_2eclosLang_2eexp_27__00,c_27type_2elist_2elist_27__01(c_27type_2eclosLang_2eexp_27__00)),chapp__02(s__02(cfun__02(c_27type_2elist_2elist_27__01(c_27type_2eclosLang_2eexp_27__00),cfun__02(c_27type_2eclosLang_2eexp_27__00,c_27type_2elist_2elist_27__01(c_27type_2eclosLang_2eexp_27__00))),chapp__02(s__02(cfun__02(c_27type_2enum_2enum_27__00,cfun__02(c_27type_2elist_2elist_27__01(c_27type_2eclosLang_2eexp_27__00),cfun__02(c_27type_2eclosLang_2eexp_27__00,c_27type_2elist_2elist_27__01(c_27type_2eclosLang_2eexp_27__00)))),chapp__02(s__02(cfun__02(c_27type_2ebackend__common_2etra_27__00,cfun__02(c_27type_2enum_2enum_27__00,cfun__02(c_27type_2elist_2elist_27__01(c_27type_2eclosLang_2eexp_27__00),cfun__02(c_27type_2eclosLang_2eexp_27__00,c_27type_2elist_2elist_27__01(c_27type_2eclosLang_2eexp_27__00))))),V__0),s__02(c_27type_2ebackend__common_2etra_27__00,V_27t_27))),s__02(c_27type_2enum_2enum_27__00,V_27max__app_27))),s__02(c_27type_2elist_2elist_27__01(c_27type_2eclosLang_2eexp_27__00),V_27es_7c39_7c_27))) = s__02(cfun__02(c_27type_2eclosLang_2eexp_27__00,c_27type_2elist_2elist_27__01(c_27type_2eclosLang_2eexp_27__00)),chapp__02(s__02(cfun__02(c_27type_2elist_2elist_27__01(c_27type_2eclosLang_2eexp_27__00),cfun__02(c_27type_2eclosLang_2eexp_27__00,c_27type_2elist_2elist_27__01(c_27type_2eclosLang_2eexp_27__00))),chapp__02(s__02(cfun__02(c_27type_2enum_2enum_27__00,cfun__02(c_27type_2elist_2elist_27__01(c_27type_2eclosLang_2eexp_27__00),cfun__02(c_27type_2eclosLang_2eexp_27__00,c_27type_2elist_2elist_27__01(c_27type_2eclosLang_2eexp_27__00)))),chapp__02(s__02(cfun__02(c_27type_2ebackend__common_2etra_27__00,cfun__02(c_27type_2enum_2enum_27__00,cfun__02(c_27type_2elist_2elist_27__01(c_27type_2eclosLang_2eexp_27__00),cfun__02(c_27type_2eclosLang_2eexp_27__00,c_27type_2elist_2elist_27__01(c_27type_2eclosLang_2eexp_27__00))))),V__1),s__02(c_27type_2ebackend__common_2etra_27__00,V_27t_27))),s__02(c_27type_2enum_2enum_27__00,V_27max__app_27))),s__02(c_27type_2elist_2elist_27__01(c_27type_2eclosLang_2eexp_27__00),V_27es_7c39_7c_27)))
=> ( ! [V_27max__app_27] : s__02(c_27type_2elist_2elist_27__01(c_27type_2eclosLang_2eexp_27__00),c_27const_2eclos__mti_2eintro__multi_27__02(s__02(c_27type_2enum_2enum_27__00,V_27max__app_27),s__02(c_27type_2elist_2elist_27__01(c_27type_2eclosLang_2eexp_27__00),c_27const_2elist_2eNIL_27__00))) = s__02(c_27type_2elist_2elist_27__01(c_27type_2eclosLang_2eexp_27__00),c_27const_2elist_2eNIL_27__00)
& ! [V_27max__app_27,V_27es_27,V_27e2_27,V_27e1_27] : s__02(c_27type_2elist_2elist_27__01(c_27type_2eclosLang_2eexp_27__00),c_27const_2eclos__mti_2eintro__multi_27__02(s__02(c_27type_2enum_2enum_27__00,V_27max__app_27),s__02(c_27type_2elist_2elist_27__01(c_27type_2eclosLang_2eexp_27__00),c_27const_2elist_2eCONS_27__02(s__02(c_27type_2eclosLang_2eexp_27__00,V_27e1_27),s__02(c_27type_2elist_2elist_27__01(c_27type_2eclosLang_2eexp_27__00),c_27const_2elist_2eCONS_27__02(s__02(c_27type_2eclosLang_2eexp_27__00,V_27e2_27),s__02(c_27type_2elist_2elist_27__01(c_27type_2eclosLang_2eexp_27__00),V_27es_27))))))) = s__02(c_27type_2elist_2elist_27__01(c_27type_2eclosLang_2eexp_27__00),c_27const_2elist_2eCONS_27__02(s__02(c_27type_2eclosLang_2eexp_27__00,c_27const_2elist_2eHD_27__01(s__02(c_27type_2elist_2elist_27__01(c_27type_2eclosLang_2eexp_27__00),c_27const_2eclos__mti_2eintro__multi_27__02(s__02(c_27type_2enum_2enum_27__00,V_27max__app_27),s__02(c_27type_2elist_2elist_27__01(c_27type_2eclosLang_2eexp_27__00),c_27const_2elist_2eCONS_27__02(s__02(c_27type_2eclosLang_2eexp_27__00,V_27e1_27),s__02(c_27type_2elist_2elist_27__01(c_27type_2eclosLang_2eexp_27__00),c_27const_2elist_2eNIL_27__00))))))),s__02(c_27type_2elist_2elist_27__01(c_27type_2eclosLang_2eexp_27__00),c_27const_2elist_2eCONS_27__02(s__02(c_27type_2eclosLang_2eexp_27__00,c_27const_2elist_2eHD_27__01(s__02(c_27type_2elist_2elist_27__01(c_27type_2eclosLang_2eexp_27__00),c_27const_2eclos__mti_2eintro__multi_27__02(s__02(c_27type_2enum_2enum_27__00,V_27max__app_27),s__02(c_27type_2elist_2elist_27__01(c_27type_2eclosLang_2eexp_27__00),c_27const_2elist_2eCONS_27__02(s__02(c_27type_2eclosLang_2eexp_27__00,V_27e2_27),s__02(c_27type_2elist_2elist_27__01(c_27type_2eclosLang_2eexp_27__00),c_27const_2elist_2eNIL_27__00))))))),s__02(c_27type_2elist_2elist_27__01(c_27type_2eclosLang_2eexp_27__00),c_27const_2eclos__mti_2eintro__multi_27__02(s__02(c_27type_2enum_2enum_27__00,V_27max__app_27),s__02(c_27type_2elist_2elist_27__01(c_27type_2eclosLang_2eexp_27__00),V_27es_27)))))))
& ! [V_27t_27,V_27n_27,V_27max__app_27] : s__02(c_27type_2elist_2elist_27__01(c_27type_2eclosLang_2eexp_27__00),c_27const_2eclos__mti_2eintro__multi_27__02(s__02(c_27type_2enum_2enum_27__00,V_27max__app_27),s__02(c_27type_2elist_2elist_27__01(c_27type_2eclosLang_2eexp_27__00),c_27const_2elist_2eCONS_27__02(s__02(c_27type_2eclosLang_2eexp_27__00,c_27const_2eclosLang_2eVar_27__02(s__02(c_27type_2ebackend__common_2etra_27__00,V_27t_27),s__02(c_27type_2enum_2enum_27__00,V_27n_27))),s__02(c_27type_2elist_2elist_27__01(c_27type_2eclosLang_2eexp_27__00),c_27const_2elist_2eNIL_27__00))))) = s__02(c_27type_2elist_2elist_27__01(c_27type_2eclosLang_2eexp_27__00),c_27const_2elist_2eCONS_27__02(s__02(c_27type_2eclosLang_2eexp_27__00,c_27const_2eclosLang_2eVar_27__02(s__02(c_27type_2ebackend__common_2etra_27__00,V_27t_27),s__02(c_27type_2enum_2enum_27__00,V_27n_27))),s__02(c_27type_2elist_2elist_27__01(c_27type_2eclosLang_2eexp_27__00),c_27const_2elist_2eNIL_27__00)))
& ! [V_27t_27,V_27max__app_27,V_27e3_27,V_27e2_27,V_27e1_27] : s__02(c_27type_2elist_2elist_27__01(c_27type_2eclosLang_2eexp_27__00),c_27const_2eclos__mti_2eintro__multi_27__02(s__02(c_27type_2enum_2enum_27__00,V_27max__app_27),s__02(c_27type_2elist_2elist_27__01(c_27type_2eclosLang_2eexp_27__00),c_27const_2elist_2eCONS_27__02(s__02(c_27type_2eclosLang_2eexp_27__00,c_27const_2eclosLang_2eIf_27__04(s__02(c_27type_2ebackend__common_2etra_27__00,V_27t_27),s__02(c_27type_2eclosLang_2eexp_27__00,V_27e1_27),s__02(c_27type_2eclosLang_2eexp_27__00,V_27e2_27),s__02(c_27type_2eclosLang_2eexp_27__00,V_27e3_27))),s__02(c_27type_2elist_2elist_27__01(c_27type_2eclosLang_2eexp_27__00),c_27const_2elist_2eNIL_27__00))))) = s__02(c_27type_2elist_2elist_27__01(c_27type_2eclosLang_2eexp_27__00),c_27const_2elist_2eCONS_27__02(s__02(c_27type_2eclosLang_2eexp_27__00,c_27const_2eclosLang_2eIf_27__04(s__02(c_27type_2ebackend__common_2etra_27__00,V_27t_27),s__02(c_27type_2eclosLang_2eexp_27__00,c_27const_2elist_2eHD_27__01(s__02(c_27type_2elist_2elist_27__01(c_27type_2eclosLang_2eexp_27__00),c_27const_2eclos__mti_2eintro__multi_27__02(s__02(c_27type_2enum_2enum_27__00,V_27max__app_27),s__02(c_27type_2elist_2elist_27__01(c_27type_2eclosLang_2eexp_27__00),c_27const_2elist_2eCONS_27__02(s__02(c_27type_2eclosLang_2eexp_27__00,V_27e1_27),s__02(c_27type_2elist_2elist_27__01(c_27type_2eclosLang_2eexp_27__00),c_27const_2elist_2eNIL_27__00))))))),s__02(c_27type_2eclosLang_2eexp_27__00,c_27const_2elist_2eHD_27__01(s__02(c_27type_2elist_2elist_27__01(c_27type_2eclosLang_2eexp_27__00),c_27const_2eclos__mti_2eintro__multi_27__02(s__02(c_27type_2enum_2enum_27__00,V_27max__app_27),s__02(c_27type_2elist_2elist_27__01(c_27type_2eclosLang_2eexp_27__00),c_27const_2elist_2eCONS_27__02(s__02(c_27type_2eclosLang_2eexp_27__00,V_27e2_27),s__02(c_27type_2elist_2elist_27__01(c_27type_2eclosLang_2eexp_27__00),c_27const_2elist_2eNIL_27__00))))))),s__02(c_27type_2eclosLang_2eexp_27__00,c_27const_2elist_2eHD_27__01(s__02(c_27type_2elist_2elist_27__01(c_27type_2eclosLang_2eexp_27__00),c_27const_2eclos__mti_2eintro__multi_27__02(s__02(c_27type_2enum_2enum_27__00,V_27max__app_27),s__02(c_27type_2elist_2elist_27__01(c_27type_2eclosLang_2eexp_27__00),c_27const_2elist_2eCONS_27__02(s__02(c_27type_2eclosLang_2eexp_27__00,V_27e3_27),s__02(c_27type_2elist_2elist_27__01(c_27type_2eclosLang_2eexp_27__00),c_27const_2elist_2eNIL_27__00))))))))),s__02(c_27type_2elist_2elist_27__01(c_27type_2eclosLang_2eexp_27__00),c_27const_2elist_2eNIL_27__00)))
& ! [V_27t_27,V_27max__app_27,V_27es_27,V_27e_27] : s__02(c_27type_2elist_2elist_27__01(c_27type_2eclosLang_2eexp_27__00),c_27const_2eclos__mti_2eintro__multi_27__02(s__02(c_27type_2enum_2enum_27__00,V_27max__app_27),s__02(c_27type_2elist_2elist_27__01(c_27type_2eclosLang_2eexp_27__00),c_27const_2elist_2eCONS_27__02(s__02(c_27type_2eclosLang_2eexp_27__00,c_27const_2eclosLang_2eLet_27__03(s__02(c_27type_2ebackend__common_2etra_27__00,V_27t_27),s__02(c_27type_2elist_2elist_27__01(c_27type_2eclosLang_2eexp_27__00),V_27es_27),s__02(c_27type_2eclosLang_2eexp_27__00,V_27e_27))),s__02(c_27type_2elist_2elist_27__01(c_27type_2eclosLang_2eexp_27__00),c_27const_2elist_2eNIL_27__00))))) = s__02(c_27type_2elist_2elist_27__01(c_27type_2eclosLang_2eexp_27__00),c_27const_2elist_2eCONS_27__02(s__02(c_27type_2eclosLang_2eexp_27__00,c_27const_2eclosLang_2eLet_27__03(s__02(c_27type_2ebackend__common_2etra_27__00,V_27t_27),s__02(c_27type_2elist_2elist_27__01(c_27type_2eclosLang_2eexp_27__00),c_27const_2eclos__mti_2eintro__multi_27__02(s__02(c_27type_2enum_2enum_27__00,V_27max__app_27),s__02(c_27type_2elist_2elist_27__01(c_27type_2eclosLang_2eexp_27__00),V_27es_27))),s__02(c_27type_2eclosLang_2eexp_27__00,c_27const_2elist_2eHD_27__01(s__02(c_27type_2elist_2elist_27__01(c_27type_2eclosLang_2eexp_27__00),c_27const_2eclos__mti_2eintro__multi_27__02(s__02(c_27type_2enum_2enum_27__00,V_27max__app_27),s__02(c_27type_2elist_2elist_27__01(c_27type_2eclosLang_2eexp_27__00),c_27const_2elist_2eCONS_27__02(s__02(c_27type_2eclosLang_2eexp_27__00,V_27e_27),s__02(c_27type_2elist_2elist_27__01(c_27type_2eclosLang_2eexp_27__00),c_27const_2elist_2eNIL_27__00))))))))),s__02(c_27type_2elist_2elist_27__01(c_27type_2eclosLang_2eexp_27__00),c_27const_2elist_2eNIL_27__00)))
& ! [V_27t_27,V_27max__app_27,V_27e_27] : s__02(c_27type_2elist_2elist_27__01(c_27type_2eclosLang_2eexp_27__00),c_27const_2eclos__mti_2eintro__multi_27__02(s__02(c_27type_2enum_2enum_27__00,V_27max__app_27),s__02(c_27type_2elist_2elist_27__01(c_27type_2eclosLang_2eexp_27__00),c_27const_2elist_2eCONS_27__02(s__02(c_27type_2eclosLang_2eexp_27__00,c_27const_2eclosLang_2eRaise_27__02(s__02(c_27type_2ebackend__common_2etra_27__00,V_27t_27),s__02(c_27type_2eclosLang_2eexp_27__00,V_27e_27))),s__02(c_27type_2elist_2elist_27__01(c_27type_2eclosLang_2eexp_27__00),c_27const_2elist_2eNIL_27__00))))) = s__02(c_27type_2elist_2elist_27__01(c_27type_2eclosLang_2eexp_27__00),c_27const_2elist_2eCONS_27__02(s__02(c_27type_2eclosLang_2eexp_27__00,c_27const_2eclosLang_2eRaise_27__02(s__02(c_27type_2ebackend__common_2etra_27__00,V_27t_27),s__02(c_27type_2eclosLang_2eexp_27__00,c_27const_2elist_2eHD_27__01(s__02(c_27type_2elist_2elist_27__01(c_27type_2eclosLang_2eexp_27__00),c_27const_2eclos__mti_2eintro__multi_27__02(s__02(c_27type_2enum_2enum_27__00,V_27max__app_27),s__02(c_27type_2elist_2elist_27__01(c_27type_2eclosLang_2eexp_27__00),c_27const_2elist_2eCONS_27__02(s__02(c_27type_2eclosLang_2eexp_27__00,V_27e_27),s__02(c_27type_2elist_2elist_27__01(c_27type_2eclosLang_2eexp_27__00),c_27const_2elist_2eNIL_27__00))))))))),s__02(c_27type_2elist_2elist_27__01(c_27type_2eclosLang_2eexp_27__00),c_27const_2elist_2eNIL_27__00)))
& ! [V_27t_27,V_27max__app_27,V_27e2_27,V_27e1_27] : s__02(c_27type_2elist_2elist_27__01(c_27type_2eclosLang_2eexp_27__00),c_27const_2eclos__mti_2eintro__multi_27__02(s__02(c_27type_2enum_2enum_27__00,V_27max__app_27),s__02(c_27type_2elist_2elist_27__01(c_27type_2eclosLang_2eexp_27__00),c_27const_2elist_2eCONS_27__02(s__02(c_27type_2eclosLang_2eexp_27__00,c_27const_2eclosLang_2eHandle_27__03(s__02(c_27type_2ebackend__common_2etra_27__00,V_27t_27),s__02(c_27type_2eclosLang_2eexp_27__00,V_27e1_27),s__02(c_27type_2eclosLang_2eexp_27__00,V_27e2_27))),s__02(c_27type_2elist_2elist_27__01(c_27type_2eclosLang_2eexp_27__00),c_27const_2elist_2eNIL_27__00))))) = s__02(c_27type_2elist_2elist_27__01(c_27type_2eclosLang_2eexp_27__00),c_27const_2elist_2eCONS_27__02(s__02(c_27type_2eclosLang_2eexp_27__00,c_27const_2eclosLang_2eHandle_27__03(s__02(c_27type_2ebackend__common_2etra_27__00,V_27t_27),s__02(c_27type_2eclosLang_2eexp_27__00,c_27const_2elist_2eHD_27__01(s__02(c_27type_2elist_2elist_27__01(c_27type_2eclosLang_2eexp_27__00),c_27const_2eclos__mti_2eintro__multi_27__02(s__02(c_27type_2enum_2enum_27__00,V_27max__app_27),s__02(c_27type_2elist_2elist_27__01(c_27type_2eclosLang_2eexp_27__00),c_27const_2elist_2eCONS_27__02(s__02(c_27type_2eclosLang_2eexp_27__00,V_27e1_27),s__02(c_27type_2elist_2elist_27__01(c_27type_2eclosLang_2eexp_27__00),c_27const_2elist_2eNIL_27__00))))))),s__02(c_27type_2eclosLang_2eexp_27__00,c_27const_2elist_2eHD_27__01(s__02(c_27type_2elist_2elist_27__01(c_27type_2eclosLang_2eexp_27__00),c_27const_2eclos__mti_2eintro__multi_27__02(s__02(c_27type_2enum_2enum_27__00,V_27max__app_27),s__02(c_27type_2elist_2elist_27__01(c_27type_2eclosLang_2eexp_27__00),c_27const_2elist_2eCONS_27__02(s__02(c_27type_2eclosLang_2eexp_27__00,V_27e2_27),s__02(c_27type_2elist_2elist_27__01(c_27type_2eclosLang_2eexp_27__00),c_27const_2elist_2eNIL_27__00))))))))),s__02(c_27type_2elist_2elist_27__01(c_27type_2eclosLang_2eexp_27__00),c_27const_2elist_2eNIL_27__00)))
& ! [V_27t_27,V_27max__app_27,V_27e_27] : s__02(c_27type_2elist_2elist_27__01(c_27type_2eclosLang_2eexp_27__00),c_27const_2eclos__mti_2eintro__multi_27__02(s__02(c_27type_2enum_2enum_27__00,V_27max__app_27),s__02(c_27type_2elist_2elist_27__01(c_27type_2eclosLang_2eexp_27__00),c_27const_2elist_2eCONS_27__02(s__02(c_27type_2eclosLang_2eexp_27__00,c_27const_2eclosLang_2eTick_27__02(s__02(c_27type_2ebackend__common_2etra_27__00,V_27t_27),s__02(c_27type_2eclosLang_2eexp_27__00,V_27e_27))),s__02(c_27type_2elist_2elist_27__01(c_27type_2eclosLang_2eexp_27__00),c_27const_2elist_2eNIL_27__00))))) = s__02(c_27type_2elist_2elist_27__01(c_27type_2eclosLang_2eexp_27__00),c_27const_2elist_2eCONS_27__02(s__02(c_27type_2eclosLang_2eexp_27__00,c_27const_2eclosLang_2eTick_27__02(s__02(c_27type_2ebackend__common_2etra_27__00,V_27t_27),s__02(c_27type_2eclosLang_2eexp_27__00,c_27const_2elist_2eHD_27__01(s__02(c_27type_2elist_2elist_27__01(c_27type_2eclosLang_2eexp_27__00),c_27const_2eclos__mti_2eintro__multi_27__02(s__02(c_27type_2enum_2enum_27__00,V_27max__app_27),s__02(c_27type_2elist_2elist_27__01(c_27type_2eclosLang_2eexp_27__00),c_27const_2elist_2eCONS_27__02(s__02(c_27type_2eclosLang_2eexp_27__00,V_27e_27),s__02(c_27type_2elist_2elist_27__01(c_27type_2eclosLang_2eexp_27__00),c_27const_2elist_2eNIL_27__00))))))))),s__02(c_27type_2elist_2elist_27__01(c_27type_2eclosLang_2eexp_27__00),c_27const_2elist_2eNIL_27__00)))
& ! [V_27ticks_27,V_27t_27,V_27n_27,V_27max__app_27,V_27es_27] : s__02(c_27type_2elist_2elist_27__01(c_27type_2eclosLang_2eexp_27__00),c_27const_2eclos__mti_2eintro__multi_27__02(s__02(c_27type_2enum_2enum_27__00,V_27max__app_27),s__02(c_27type_2elist_2elist_27__01(c_27type_2eclosLang_2eexp_27__00),c_27const_2elist_2eCONS_27__02(s__02(c_27type_2eclosLang_2eexp_27__00,c_27const_2eclosLang_2eCall_27__04(s__02(c_27type_2ebackend__common_2etra_27__00,V_27t_27),s__02(c_27type_2enum_2enum_27__00,V_27ticks_27),s__02(c_27type_2enum_2enum_27__00,V_27n_27),s__02(c_27type_2elist_2elist_27__01(c_27type_2eclosLang_2eexp_27__00),V_27es_27))),s__02(c_27type_2elist_2elist_27__01(c_27type_2eclosLang_2eexp_27__00),c_27const_2elist_2eNIL_27__00))))) = s__02(c_27type_2elist_2elist_27__01(c_27type_2eclosLang_2eexp_27__00),c_27const_2elist_2eCONS_27__02(s__02(c_27type_2eclosLang_2eexp_27__00,c_27const_2eclosLang_2eCall_27__04(s__02(c_27type_2ebackend__common_2etra_27__00,V_27t_27),s__02(c_27type_2enum_2enum_27__00,V_27ticks_27),s__02(c_27type_2enum_2enum_27__00,V_27n_27),s__02(c_27type_2elist_2elist_27__01(c_27type_2eclosLang_2eexp_27__00),c_27const_2eclos__mti_2eintro__multi_27__02(s__02(c_27type_2enum_2enum_27__00,V_27max__app_27),s__02(c_27type_2elist_2elist_27__01(c_27type_2eclosLang_2eexp_27__00),V_27es_27))))),s__02(c_27type_2elist_2elist_27__01(c_27type_2eclosLang_2eexp_27__00),c_27const_2elist_2eNIL_27__00)))
& ! [V_27t_27,V_27max__app_27,V_27es_27,V_27e_27] : s__02(c_27type_2elist_2elist_27__01(c_27type_2eclosLang_2eexp_27__00),c_27const_2eclos__mti_2eintro__multi_27__02(s__02(c_27type_2enum_2enum_27__00,V_27max__app_27),s__02(c_27type_2elist_2elist_27__01(c_27type_2eclosLang_2eexp_27__00),c_27const_2elist_2eCONS_27__02(s__02(c_27type_2eclosLang_2eexp_27__00,c_27const_2eclosLang_2eApp_27__04(s__02(c_27type_2ebackend__common_2etra_27__00,V_27t_27),s__02(c_27type_2eoption_2eoption_27__01(c_27type_2enum_2enum_27__00),c_27const_2eoption_2eNONE_27__00),s__02(c_27type_2eclosLang_2eexp_27__00,V_27e_27),s__02(c_27type_2elist_2elist_27__01(c_27type_2eclosLang_2eexp_27__00),V_27es_27))),s__02(c_27type_2elist_2elist_27__01(c_27type_2eclosLang_2eexp_27__00),c_27const_2elist_2eNIL_27__00))))) = s__02(c_27type_2elist_2elist_27__01(c_27type_2eclosLang_2eexp_27__00),c_27const_2ebool_2eLET_27__02(s__02(cfun__02(c_27type_2epair_2eprod_27__02(c_27type_2elist_2elist_27__01(c_27type_2eclosLang_2eexp_27__00),c_27type_2eclosLang_2eexp_27__00),c_27type_2elist_2elist_27__01(c_27type_2eclosLang_2eexp_27__00)),c_27const_2epair_2eUNCURRY_27__01(s__02(cfun__02(c_27type_2elist_2elist_27__01(c_27type_2eclosLang_2eexp_27__00),cfun__02(c_27type_2eclosLang_2eexp_27__00,c_27type_2elist_2elist_27__01(c_27type_2eclosLang_2eexp_27__00))),chapp__02(s__02(cfun__02(c_27type_2enum_2enum_27__00,cfun__02(c_27type_2elist_2elist_27__01(c_27type_2eclosLang_2eexp_27__00),cfun__02(c_27type_2eclosLang_2eexp_27__00,c_27type_2elist_2elist_27__01(c_27type_2eclosLang_2eexp_27__00)))),chapp__02(s__02(cfun__02(c_27type_2ebackend__common_2etra_27__00,cfun__02(c_27type_2enum_2enum_27__00,cfun__02(c_27type_2elist_2elist_27__01(c_27type_2eclosLang_2eexp_27__00),cfun__02(c_27type_2eclosLang_2eexp_27__00,c_27type_2elist_2elist_27__01(c_27type_2eclosLang_2eexp_27__00))))),V__0),s__02(c_27type_2ebackend__common_2etra_27__00,V_27t_27))),s__02(c_27type_2enum_2enum_27__00,V_27max__app_27))))),s__02(c_27type_2epair_2eprod_27__02(c_27type_2elist_2elist_27__01(c_27type_2eclosLang_2eexp_27__00),c_27type_2eclosLang_2eexp_27__00),c_27const_2eclos__mti_2ecollect__apps_27__03(s__02(c_27type_2enum_2enum_27__00,V_27max__app_27),s__02(c_27type_2elist_2elist_27__01(c_27type_2eclosLang_2eexp_27__00),V_27es_27),s__02(c_27type_2eclosLang_2eexp_27__00,V_27e_27)))))
& ! [V_27t_27,V_27max__app_27,V_27l_27,V_27es_27,V_27e_27] : s__02(c_27type_2elist_2elist_27__01(c_27type_2eclosLang_2eexp_27__00),c_27const_2eclos__mti_2eintro__multi_27__02(s__02(c_27type_2enum_2enum_27__00,V_27max__app_27),s__02(c_27type_2elist_2elist_27__01(c_27type_2eclosLang_2eexp_27__00),c_27const_2elist_2eCONS_27__02(s__02(c_27type_2eclosLang_2eexp_27__00,c_27const_2eclosLang_2eApp_27__04(s__02(c_27type_2ebackend__common_2etra_27__00,V_27t_27),s__02(c_27type_2eoption_2eoption_27__01(c_27type_2enum_2enum_27__00),c_27const_2eoption_2eSOME_27__01(s__02(c_27type_2enum_2enum_27__00,V_27l_27))),s__02(c_27type_2eclosLang_2eexp_27__00,V_27e_27),s__02(c_27type_2elist_2elist_27__01(c_27type_2eclosLang_2eexp_27__00),V_27es_27))),s__02(c_27type_2elist_2elist_27__01(c_27type_2eclosLang_2eexp_27__00),c_27const_2elist_2eNIL_27__00))))) = s__02(c_27type_2elist_2elist_27__01(c_27type_2eclosLang_2eexp_27__00),c_27const_2elist_2eCONS_27__02(s__02(c_27type_2eclosLang_2eexp_27__00,c_27const_2eclosLang_2eApp_27__04(s__02(c_27type_2ebackend__common_2etra_27__00,V_27t_27),s__02(c_27type_2eoption_2eoption_27__01(c_27type_2enum_2enum_27__00),c_27const_2eoption_2eSOME_27__01(s__02(c_27type_2enum_2enum_27__00,V_27l_27))),s__02(c_27type_2eclosLang_2eexp_27__00,c_27const_2elist_2eHD_27__01(s__02(c_27type_2elist_2elist_27__01(c_27type_2eclosLang_2eexp_27__00),c_27const_2eclos__mti_2eintro__multi_27__02(s__02(c_27type_2enum_2enum_27__00,V_27max__app_27),s__02(c_27type_2elist_2elist_27__01(c_27type_2eclosLang_2eexp_27__00),c_27const_2elist_2eCONS_27__02(s__02(c_27type_2eclosLang_2eexp_27__00,V_27e_27),s__02(c_27type_2elist_2elist_27__01(c_27type_2eclosLang_2eexp_27__00),c_27const_2elist_2eNIL_27__00))))))),s__02(c_27type_2elist_2elist_27__01(c_27type_2eclosLang_2eexp_27__00),c_27const_2eclos__mti_2eintro__multi_27__02(s__02(c_27type_2enum_2enum_27__00,V_27max__app_27),s__02(c_27type_2elist_2elist_27__01(c_27type_2eclosLang_2eexp_27__00),V_27es_27))))),s__02(c_27type_2elist_2elist_27__01(c_27type_2eclosLang_2eexp_27__00),c_27const_2elist_2eNIL_27__00)))
& ! [V_27t_27,V_27num__args_27,V_27max__app_27,V_27e_27] : s__02(c_27type_2elist_2elist_27__01(c_27type_2eclosLang_2eexp_27__00),c_27const_2eclos__mti_2eintro__multi_27__02(s__02(c_27type_2enum_2enum_27__00,V_27max__app_27),s__02(c_27type_2elist_2elist_27__01(c_27type_2eclosLang_2eexp_27__00),c_27const_2elist_2eCONS_27__02(s__02(c_27type_2eclosLang_2eexp_27__00,c_27const_2eclosLang_2eFn_27__05(s__02(c_27type_2ebackend__common_2etra_27__00,V_27t_27),s__02(c_27type_2eoption_2eoption_27__01(c_27type_2enum_2enum_27__00),c_27const_2eoption_2eNONE_27__00),s__02(c_27type_2eoption_2eoption_27__01(c_27type_2elist_2elist_27__01(c_27type_2enum_2enum_27__00)),c_27const_2eoption_2eNONE_27__00),s__02(c_27type_2enum_2enum_27__00,V_27num__args_27),s__02(c_27type_2eclosLang_2eexp_27__00,V_27e_27))),s__02(c_27type_2elist_2elist_27__01(c_27type_2eclosLang_2eexp_27__00),c_27const_2elist_2eNIL_27__00))))) = s__02(c_27type_2elist_2elist_27__01(c_27type_2eclosLang_2eexp_27__00),c_27const_2ebool_2eLET_27__02(s__02(cfun__02(c_27type_2epair_2eprod_27__02(c_27type_2enum_2enum_27__00,c_27type_2eclosLang_2eexp_27__00),c_27type_2elist_2elist_27__01(c_27type_2eclosLang_2eexp_27__00)),c_27const_2epair_2eUNCURRY_27__01(s__02(cfun__02(c_27type_2enum_2enum_27__00,cfun__02(c_27type_2eclosLang_2eexp_27__00,c_27type_2elist_2elist_27__01(c_27type_2eclosLang_2eexp_27__00))),chapp__02(s__02(cfun__02(c_27type_2enum_2enum_27__00,cfun__02(c_27type_2enum_2enum_27__00,cfun__02(c_27type_2eclosLang_2eexp_27__00,c_27type_2elist_2elist_27__01(c_27type_2eclosLang_2eexp_27__00)))),chapp__02(s__02(cfun__02(c_27type_2ebackend__common_2etra_27__00,cfun__02(c_27type_2enum_2enum_27__00,cfun__02(c_27type_2enum_2enum_27__00,cfun__02(c_27type_2eclosLang_2eexp_27__00,c_27type_2elist_2elist_27__01(c_27type_2eclosLang_2eexp_27__00))))),V__2),s__02(c_27type_2ebackend__common_2etra_27__00,V_27t_27))),s__02(c_27type_2enum_2enum_27__00,V_27max__app_27))))),s__02(c_27type_2epair_2eprod_27__02(c_27type_2enum_2enum_27__00,c_27type_2eclosLang_2eexp_27__00),c_27const_2eclos__mti_2ecollect__args_27__03(s__02(c_27type_2enum_2enum_27__00,V_27max__app_27),s__02(c_27type_2enum_2enum_27__00,V_27num__args_27),s__02(c_27type_2eclosLang_2eexp_27__00,V_27e_27)))))
& ! [V_27v46_27,V_27t_27,V_27num__args_27,V_27max__app_27,V_27e_27] : s__02(c_27type_2elist_2elist_27__01(c_27type_2eclosLang_2eexp_27__00),c_27const_2eclos__mti_2eintro__multi_27__02(s__02(c_27type_2enum_2enum_27__00,V_27max__app_27),s__02(c_27type_2elist_2elist_27__01(c_27type_2eclosLang_2eexp_27__00),c_27const_2elist_2eCONS_27__02(s__02(c_27type_2eclosLang_2eexp_27__00,c_27const_2eclosLang_2eFn_27__05(s__02(c_27type_2ebackend__common_2etra_27__00,V_27t_27),s__02(c_27type_2eoption_2eoption_27__01(c_27type_2enum_2enum_27__00),c_27const_2eoption_2eNONE_27__00),s__02(c_27type_2eoption_2eoption_27__01(c_27type_2elist_2elist_27__01(c_27type_2enum_2enum_27__00)),c_27const_2eoption_2eSOME_27__01(s__02(c_27type_2elist_2elist_27__01(c_27type_2enum_2enum_27__00),V_27v46_27))),s__02(c_27type_2enum_2enum_27__00,V_27num__args_27),s__02(c_27type_2eclosLang_2eexp_27__00,V_27e_27))),s__02(c_27type_2elist_2elist_27__01(c_27type_2eclosLang_2eexp_27__00),c_27const_2elist_2eNIL_27__00))))) = s__02(c_27type_2elist_2elist_27__01(c_27type_2eclosLang_2eexp_27__00),c_27const_2elist_2eCONS_27__02(s__02(c_27type_2eclosLang_2eexp_27__00,c_27const_2eclosLang_2eFn_27__05(s__02(c_27type_2ebackend__common_2etra_27__00,V_27t_27),s__02(c_27type_2eoption_2eoption_27__01(c_27type_2enum_2enum_27__00),c_27const_2eoption_2eNONE_27__00),s__02(c_27type_2eoption_2eoption_27__01(c_27type_2elist_2elist_27__01(c_27type_2enum_2enum_27__00)),c_27const_2eoption_2eSOME_27__01(s__02(c_27type_2elist_2elist_27__01(c_27type_2enum_2enum_27__00),V_27v46_27))),s__02(c_27type_2enum_2enum_27__00,V_27num__args_27),s__02(c_27type_2eclosLang_2eexp_27__00,c_27const_2elist_2eHD_27__01(s__02(c_27type_2elist_2elist_27__01(c_27type_2eclosLang_2eexp_27__00),c_27const_2eclos__mti_2eintro__multi_27__02(s__02(c_27type_2enum_2enum_27__00,V_27max__app_27),s__02(c_27type_2elist_2elist_27__01(c_27type_2eclosLang_2eexp_27__00),c_27const_2elist_2eCONS_27__02(s__02(c_27type_2eclosLang_2eexp_27__00,V_27e_27),s__02(c_27type_2elist_2elist_27__01(c_27type_2eclosLang_2eexp_27__00),c_27const_2elist_2eNIL_27__00))))))))),s__02(c_27type_2elist_2elist_27__01(c_27type_2eclosLang_2eexp_27__00),c_27const_2elist_2eNIL_27__00)))
& ! [V_27v44_27,V_27t_27,V_27num__args_27,V_27max__app_27,V_27fvs_27,V_27e_27] : s__02(c_27type_2elist_2elist_27__01(c_27type_2eclosLang_2eexp_27__00),c_27const_2eclos__mti_2eintro__multi_27__02(s__02(c_27type_2enum_2enum_27__00,V_27max__app_27),s__02(c_27type_2elist_2elist_27__01(c_27type_2eclosLang_2eexp_27__00),c_27const_2elist_2eCONS_27__02(s__02(c_27type_2eclosLang_2eexp_27__00,c_27const_2eclosLang_2eFn_27__05(s__02(c_27type_2ebackend__common_2etra_27__00,V_27t_27),s__02(c_27type_2eoption_2eoption_27__01(c_27type_2enum_2enum_27__00),c_27const_2eoption_2eSOME_27__01(s__02(c_27type_2enum_2enum_27__00,V_27v44_27))),s__02(c_27type_2eoption_2eoption_27__01(c_27type_2elist_2elist_27__01(c_27type_2enum_2enum_27__00)),V_27fvs_27),s__02(c_27type_2enum_2enum_27__00,V_27num__args_27),s__02(c_27type_2eclosLang_2eexp_27__00,V_27e_27))),s__02(c_27type_2elist_2elist_27__01(c_27type_2eclosLang_2eexp_27__00),c_27const_2elist_2eNIL_27__00))))) = s__02(c_27type_2elist_2elist_27__01(c_27type_2eclosLang_2eexp_27__00),c_27const_2elist_2eCONS_27__02(s__02(c_27type_2eclosLang_2eexp_27__00,c_27const_2eclosLang_2eFn_27__05(s__02(c_27type_2ebackend__common_2etra_27__00,V_27t_27),s__02(c_27type_2eoption_2eoption_27__01(c_27type_2enum_2enum_27__00),c_27const_2eoption_2eSOME_27__01(s__02(c_27type_2enum_2enum_27__00,V_27v44_27))),s__02(c_27type_2eoption_2eoption_27__01(c_27type_2elist_2elist_27__01(c_27type_2enum_2enum_27__00)),V_27fvs_27),s__02(c_27type_2enum_2enum_27__00,V_27num__args_27),s__02(c_27type_2eclosLang_2eexp_27__00,c_27const_2elist_2eHD_27__01(s__02(c_27type_2elist_2elist_27__01(c_27type_2eclosLang_2eexp_27__00),c_27const_2eclos__mti_2eintro__multi_27__02(s__02(c_27type_2enum_2enum_27__00,V_27max__app_27),s__02(c_27type_2elist_2elist_27__01(c_27type_2eclosLang_2eexp_27__00),c_27const_2elist_2eCONS_27__02(s__02(c_27type_2eclosLang_2eexp_27__00,V_27e_27),s__02(c_27type_2elist_2elist_27__01(c_27type_2eclosLang_2eexp_27__00),c_27const_2elist_2eNIL_27__00))))))))),s__02(c_27type_2elist_2elist_27__01(c_27type_2eclosLang_2eexp_27__00),c_27const_2elist_2eNIL_27__00)))
& ! [V_27t_27,V_27max__app_27,V_27funs_27,V_27e_27] : s__02(c_27type_2elist_2elist_27__01(c_27type_2eclosLang_2eexp_27__00),c_27const_2eclos__mti_2eintro__multi_27__02(s__02(c_27type_2enum_2enum_27__00,V_27max__app_27),s__02(c_27type_2elist_2elist_27__01(c_27type_2eclosLang_2eexp_27__00),c_27const_2elist_2eCONS_27__02(s__02(c_27type_2eclosLang_2eexp_27__00,c_27const_2eclosLang_2eLetrec_27__05(s__02(c_27type_2ebackend__common_2etra_27__00,V_27t_27),s__02(c_27type_2eoption_2eoption_27__01(c_27type_2enum_2enum_27__00),c_27const_2eoption_2eNONE_27__00),s__02(c_27type_2eoption_2eoption_27__01(c_27type_2elist_2elist_27__01(c_27type_2enum_2enum_27__00)),c_27const_2eoption_2eNONE_27__00),s__02(c_27type_2elist_2elist_27__01(c_27type_2epair_2eprod_27__02(c_27type_2enum_2enum_27__00,c_27type_2eclosLang_2eexp_27__00)),V_27funs_27),s__02(c_27type_2eclosLang_2eexp_27__00,V_27e_27))),s__02(c_27type_2elist_2elist_27__01(c_27type_2eclosLang_2eexp_27__00),c_27const_2elist_2eNIL_27__00))))) = s__02(c_27type_2elist_2elist_27__01(c_27type_2eclosLang_2eexp_27__00),c_27const_2elist_2eCONS_27__02(s__02(c_27type_2eclosLang_2eexp_27__00,c_27const_2eclosLang_2eLetrec_27__05(s__02(c_27type_2ebackend__common_2etra_27__00,V_27t_27),s__02(c_27type_2eoption_2eoption_27__01(c_27type_2enum_2enum_27__00),c_27const_2eoption_2eNONE_27__00),s__02(c_27type_2eoption_2eoption_27__01(c_27type_2elist_2elist_27__01(c_27type_2enum_2enum_27__00)),c_27const_2eoption_2eNONE_27__00),s__02(c_27type_2elist_2elist_27__01(c_27type_2epair_2eprod_27__02(c_27type_2enum_2enum_27__00,c_27type_2eclosLang_2eexp_27__00)),c_27const_2elist_2eMAP_27__02(s__02(cfun__02(c_27type_2epair_2eprod_27__02(c_27type_2enum_2enum_27__00,c_27type_2eclosLang_2eexp_27__00),c_27type_2epair_2eprod_27__02(c_27type_2enum_2enum_27__00,c_27type_2eclosLang_2eexp_27__00)),c_27const_2epair_2eUNCURRY_27__01(s__02(cfun__02(c_27type_2enum_2enum_27__00,cfun__02(c_27type_2eclosLang_2eexp_27__00,c_27type_2epair_2eprod_27__02(c_27type_2enum_2enum_27__00,c_27type_2eclosLang_2eexp_27__00))),chapp__02(s__02(cfun__02(c_27type_2enum_2enum_27__00,cfun__02(c_27type_2enum_2enum_27__00,cfun__02(c_27type_2eclosLang_2eexp_27__00,c_27type_2epair_2eprod_27__02(c_27type_2enum_2enum_27__00,c_27type_2eclosLang_2eexp_27__00)))),V__4),s__02(c_27type_2enum_2enum_27__00,V_27max__app_27))))),s__02(c_27type_2elist_2elist_27__01(c_27type_2epair_2eprod_27__02(c_27type_2enum_2enum_27__00,c_27type_2eclosLang_2eexp_27__00)),V_27funs_27))),s__02(c_27type_2eclosLang_2eexp_27__00,c_27const_2elist_2eHD_27__01(s__02(c_27type_2elist_2elist_27__01(c_27type_2eclosLang_2eexp_27__00),c_27const_2eclos__mti_2eintro__multi_27__02(s__02(c_27type_2enum_2enum_27__00,V_27max__app_27),s__02(c_27type_2elist_2elist_27__01(c_27type_2eclosLang_2eexp_27__00),c_27const_2elist_2eCONS_27__02(s__02(c_27type_2eclosLang_2eexp_27__00,V_27e_27),s__02(c_27type_2elist_2elist_27__01(c_27type_2eclosLang_2eexp_27__00),c_27const_2elist_2eNIL_27__00))))))))),s__02(c_27type_2elist_2elist_27__01(c_27type_2eclosLang_2eexp_27__00),c_27const_2elist_2eNIL_27__00)))
& ! [V_27t_27,V_27max__app_27,V_27loc_27,V_27fvs_27,V_27funs_27,V_27e_27] : s__02(c_27type_2elist_2elist_27__01(c_27type_2eclosLang_2eexp_27__00),c_27const_2eclos__mti_2eintro__multi_27__02(s__02(c_27type_2enum_2enum_27__00,V_27max__app_27),s__02(c_27type_2elist_2elist_27__01(c_27type_2eclosLang_2eexp_27__00),c_27const_2elist_2eCONS_27__02(s__02(c_27type_2eclosLang_2eexp_27__00,c_27const_2eclosLang_2eLetrec_27__05(s__02(c_27type_2ebackend__common_2etra_27__00,V_27t_27),s__02(c_27type_2eoption_2eoption_27__01(c_27type_2enum_2enum_27__00),c_27const_2eoption_2eSOME_27__01(s__02(c_27type_2enum_2enum_27__00,V_27loc_27))),s__02(c_27type_2eoption_2eoption_27__01(c_27type_2elist_2elist_27__01(c_27type_2enum_2enum_27__00)),V_27fvs_27),s__02(c_27type_2elist_2elist_27__01(c_27type_2epair_2eprod_27__02(c_27type_2enum_2enum_27__00,c_27type_2eclosLang_2eexp_27__00)),V_27funs_27),s__02(c_27type_2eclosLang_2eexp_27__00,V_27e_27))),s__02(c_27type_2elist_2elist_27__01(c_27type_2eclosLang_2eexp_27__00),c_27const_2elist_2eNIL_27__00))))) = s__02(c_27type_2elist_2elist_27__01(c_27type_2eclosLang_2eexp_27__00),c_27const_2elist_2eCONS_27__02(s__02(c_27type_2eclosLang_2eexp_27__00,c_27const_2eclosLang_2eLetrec_27__05(s__02(c_27type_2ebackend__common_2etra_27__00,V_27t_27),s__02(c_27type_2eoption_2eoption_27__01(c_27type_2enum_2enum_27__00),c_27const_2eoption_2eSOME_27__01(s__02(c_27type_2enum_2enum_27__00,V_27loc_27))),s__02(c_27type_2eoption_2eoption_27__01(c_27type_2elist_2elist_27__01(c_27type_2enum_2enum_27__00)),V_27fvs_27),s__02(c_27type_2elist_2elist_27__01(c_27type_2epair_2eprod_27__02(c_27type_2enum_2enum_27__00,c_27type_2eclosLang_2eexp_27__00)),V_27funs_27),s__02(c_27type_2eclosLang_2eexp_27__00,c_27const_2elist_2eHD_27__01(s__02(c_27type_2elist_2elist_27__01(c_27type_2eclosLang_2eexp_27__00),c_27const_2eclos__mti_2eintro__multi_27__02(s__02(c_27type_2enum_2enum_27__00,V_27max__app_27),s__02(c_27type_2elist_2elist_27__01(c_27type_2eclosLang_2eexp_27__00),c_27const_2elist_2eCONS_27__02(s__02(c_27type_2eclosLang_2eexp_27__00,V_27e_27),s__02(c_27type_2elist_2elist_27__01(c_27type_2eclosLang_2eexp_27__00),c_27const_2elist_2eNIL_27__00))))))))),s__02(c_27type_2elist_2elist_27__01(c_27type_2eclosLang_2eexp_27__00),c_27const_2elist_2eNIL_27__00)))
& ! [V_27t_27,V_27max__app_27,V_27fvs_27,V_27funs_27,V_27e_27] : s__02(c_27type_2elist_2elist_27__01(c_27type_2eclosLang_2eexp_27__00),c_27const_2eclos__mti_2eintro__multi_27__02(s__02(c_27type_2enum_2enum_27__00,V_27max__app_27),s__02(c_27type_2elist_2elist_27__01(c_27type_2eclosLang_2eexp_27__00),c_27const_2elist_2eCONS_27__02(s__02(c_27type_2eclosLang_2eexp_27__00,c_27const_2eclosLang_2eLetrec_27__05(s__02(c_27type_2ebackend__common_2etra_27__00,V_27t_27),s__02(c_27type_2eoption_2eoption_27__01(c_27type_2enum_2enum_27__00),c_27const_2eoption_2eNONE_27__00),s__02(c_27type_2eoption_2eoption_27__01(c_27type_2elist_2elist_27__01(c_27type_2enum_2enum_27__00)),c_27const_2eoption_2eSOME_27__01(s__02(c_27type_2elist_2elist_27__01(c_27type_2enum_2enum_27__00),V_27fvs_27))),s__02(c_27type_2elist_2elist_27__01(c_27type_2epair_2eprod_27__02(c_27type_2enum_2enum_27__00,c_27type_2eclosLang_2eexp_27__00)),V_27funs_27),s__02(c_27type_2eclosLang_2eexp_27__00,V_27e_27))),s__02(c_27type_2elist_2elist_27__01(c_27type_2eclosLang_2eexp_27__00),c_27const_2elist_2eNIL_27__00))))) = s__02(c_27type_2elist_2elist_27__01(c_27type_2eclosLang_2eexp_27__00),c_27const_2elist_2eCONS_27__02(s__02(c_27type_2eclosLang_2eexp_27__00,c_27const_2eclosLang_2eLetrec_27__05(s__02(c_27type_2ebackend__common_2etra_27__00,V_27t_27),s__02(c_27type_2eoption_2eoption_27__01(c_27type_2enum_2enum_27__00),c_27const_2eoption_2eNONE_27__00),s__02(c_27type_2eoption_2eoption_27__01(c_27type_2elist_2elist_27__01(c_27type_2enum_2enum_27__00)),c_27const_2eoption_2eSOME_27__01(s__02(c_27type_2elist_2elist_27__01(c_27type_2enum_2enum_27__00),V_27fvs_27))),s__02(c_27type_2elist_2elist_27__01(c_27type_2epair_2eprod_27__02(c_27type_2enum_2enum_27__00,c_27type_2eclosLang_2eexp_27__00)),V_27funs_27),s__02(c_27type_2eclosLang_2eexp_27__00,c_27const_2elist_2eHD_27__01(s__02(c_27type_2elist_2elist_27__01(c_27type_2eclosLang_2eexp_27__00),c_27const_2eclos__mti_2eintro__multi_27__02(s__02(c_27type_2enum_2enum_27__00,V_27max__app_27),s__02(c_27type_2elist_2elist_27__01(c_27type_2eclosLang_2eexp_27__00),c_27const_2elist_2eCONS_27__02(s__02(c_27type_2eclosLang_2eexp_27__00,V_27e_27),s__02(c_27type_2elist_2elist_27__01(c_27type_2eclosLang_2eexp_27__00),c_27const_2elist_2eNIL_27__00))))))))),s__02(c_27type_2elist_2elist_27__01(c_27type_2eclosLang_2eexp_27__00),c_27const_2elist_2eNIL_27__00)))
& ! [V_27t_27,V_27op_27,V_27max__app_27,V_27es_27] : s__02(c_27type_2elist_2elist_27__01(c_27type_2eclosLang_2eexp_27__00),c_27const_2eclos__mti_2eintro__multi_27__02(s__02(c_27type_2enum_2enum_27__00,V_27max__app_27),s__02(c_27type_2elist_2elist_27__01(c_27type_2eclosLang_2eexp_27__00),c_27const_2elist_2eCONS_27__02(s__02(c_27type_2eclosLang_2eexp_27__00,c_27const_2eclosLang_2eOp_27__03(s__02(c_27type_2ebackend__common_2etra_27__00,V_27t_27),s__02(c_27type_2eclosLang_2eop_27__00,V_27op_27),s__02(c_27type_2elist_2elist_27__01(c_27type_2eclosLang_2eexp_27__00),V_27es_27))),s__02(c_27type_2elist_2elist_27__01(c_27type_2eclosLang_2eexp_27__00),c_27const_2elist_2eNIL_27__00))))) = s__02(c_27type_2elist_2elist_27__01(c_27type_2eclosLang_2eexp_27__00),c_27const_2elist_2eCONS_27__02(s__02(c_27type_2eclosLang_2eexp_27__00,c_27const_2eclosLang_2eOp_27__03(s__02(c_27type_2ebackend__common_2etra_27__00,V_27t_27),s__02(c_27type_2eclosLang_2eop_27__00,V_27op_27),s__02(c_27type_2elist_2elist_27__01(c_27type_2eclosLang_2eexp_27__00),c_27const_2eclos__mti_2eintro__multi_27__02(s__02(c_27type_2enum_2enum_27__00,V_27max__app_27),s__02(c_27type_2elist_2elist_27__01(c_27type_2eclosLang_2eexp_27__00),V_27es_27))))),s__02(c_27type_2elist_2elist_27__01(c_27type_2eclosLang_2eexp_27__00),c_27const_2elist_2eNIL_27__00))) ) ) ) ) ) ) ) ) ) ).
fof(conjecture,conjecture,
! [V_27max__app_27,V_27es_27] :
( s__02(c_27type_2elist_2elist_27__01(c_27type_2eclosLang_2eexp_27__00),c_27const_2eclos__mti_2eintro__multi_27__02(s__02(c_27type_2enum_2enum_27__00,V_27max__app_27),s__02(c_27type_2elist_2elist_27__01(c_27type_2eclosLang_2eexp_27__00),V_27es_27))) = s__02(c_27type_2elist_2elist_27__01(c_27type_2eclosLang_2eexp_27__00),c_27const_2elist_2eNIL_27__00)
<=> s__02(c_27type_2elist_2elist_27__01(c_27type_2eclosLang_2eexp_27__00),V_27es_27) = s__02(c_27type_2elist_2elist_27__01(c_27type_2eclosLang_2eexp_27__00),c_27const_2elist_2eNIL_27__00) ) ).
%------------------------------------------------------------------------------