TPTP Problem File: SWW932+1.p
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%------------------------------------------------------------------------------
% File : SWW932+1 : TPTP v8.2.0. Released v7.3.0.
% Domain : Software Verification
% Problem : ml_monad_translator__97__tactictoe_prove_96__dep
% Version : Especial.
% English :
% Refs : [Kum18] Kumar (2018), Email to Geoff Sutcliffe
% Source : [Kum18]
% Names : ml_monad_translator__97__tactictoe_prove_96__dep [Kum18]
% Status : Theorem
% Rating : 1.00 v7.3.0
% Syntax : Number of formulae : 33 ( 9 unt; 0 def)
% Number of atoms : 250 ( 171 equ)
% Maximal formula atoms : 91 ( 7 avg)
% Number of connectives : 314 ( 97 ~; 7 |; 145 &)
% ( 43 <=>; 22 =>; 0 <=; 0 <~>)
% Maximal formula depth : 96 ( 9 avg)
% Maximal term depth : 10 ( 2 avg)
% Number of predicates : 2 ( 1 usr; 0 prp; 1-2 aty)
% Number of functors : 57 ( 57 usr; 15 con; 0-5 aty)
% Number of variables : 518 ( 514 !; 4 ?)
% SPC : FOF_THM_RFO_SEQ
% Comments :
%------------------------------------------------------------------------------
fof('HL_TRUTH',axiom,
p__01(s__02(cbool__00,cT__00)) ).
fof('HL_FALSITY',axiom,
~ p__01(s__02(cbool__00,cF__00)) ).
fof('HL_BOOL_CASES',axiom,
! [Vt] :
( s__02(cbool__00,Vt) = s__02(cbool__00,cT__00)
| s__02(cbool__00,Vt) = s__02(cbool__00,cF__00) ) ).
fof('HL_EXT',axiom,
! [V_3f2384,V_3f2380,Vf,Vg] :
( ! [Vx] : s__02(V_3f2380,chapp__02(s__02(cfun__02(V_3f2384,V_3f2380),Vf),s__02(V_3f2384,Vx))) = s__02(V_3f2380,chapp__02(s__02(cfun__02(V_3f2384,V_3f2380),Vg),s__02(V_3f2384,Vx)))
=> s__02(cfun__02(V_3f2384,V_3f2380),Vf) = s__02(cfun__02(V_3f2384,V_3f2380),Vg) ) ).
fof('thm.bool.SELECT_AX',axiom,
! [V_27A_27,V_27P_27,V_27x_27] :
( p__01(s__02(cbool__00,chapp__02(s__02(cfun__02(V_27A_27,cbool__00),V_27P_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_27P_27),s__02(V_27A_27,c_27const_2emin_2e_40_27__01(s__02(cfun__02(V_27A_27,cbool__00),V_27P_27)))))) ) ).
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.EXISTS_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.OR_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,cT__00)) )
& ( ( 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,V_27t_27)) )
& ( ( 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,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.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.UNWIND_THM2',axiom,
! [V_27A_27,V_27P_27,V_27a_27] :
( ? [V_27x_27] :
( s__02(V_27A_27,V_27x_27) = s__02(V_27A_27,V_27a_27)
& p__01(s__02(cbool__00,chapp__02(s__02(cfun__02(V_27A_27,cbool__00),V_27P_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_27P_27),s__02(V_27A_27,V_27a_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.bool.BOUNDED_THM',axiom,
! [V_27v_27] : s__02(cbool__00,c_27const_2ebool_2eBOUNDED_27__01(s__02(cbool__00,V_27v_27))) = s__02(cbool__00,cT__00) ).
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.relation.WF_EMPTY_REL',axiom,
! [V_27A_27] : p__01(s__02(cbool__00,c_27const_2erelation_2eWF_27__01(s__02(cfun__02(V_27A_27,cfun__02(V_27A_27,cbool__00)),c_27const_2erelation_2eEMPTY__REL_27__00)))) ).
fof('thm.relation.WFREC_COROLLARY',axiom,
! [V_27B_27,V_27A_27,V_27M_27,V_27R_27,V_27f_27] :
( s__02(cfun__02(V_27A_27,V_27B_27),V_27f_27) = s__02(cfun__02(V_27A_27,V_27B_27),c_27const_2erelation_2eWFREC_27__02(s__02(cfun__02(V_27A_27,cfun__02(V_27A_27,cbool__00)),V_27R_27),s__02(cfun__02(cfun__02(V_27A_27,V_27B_27),cfun__02(V_27A_27,V_27B_27)),V_27M_27)))
=> ( p__01(s__02(cbool__00,c_27const_2erelation_2eWF_27__01(s__02(cfun__02(V_27A_27,cfun__02(V_27A_27,cbool__00)),V_27R_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))) = s__02(V_27B_27,chapp__02(s__02(cfun__02(V_27A_27,V_27B_27),chapp__02(s__02(cfun__02(cfun__02(V_27A_27,V_27B_27),cfun__02(V_27A_27,V_27B_27)),V_27M_27),s__02(cfun__02(V_27A_27,V_27B_27),c_27const_2erelation_2eRESTRICT_27__03(s__02(cfun__02(V_27A_27,V_27B_27),V_27f_27),s__02(cfun__02(V_27A_27,cfun__02(V_27A_27,cbool__00)),V_27R_27),s__02(V_27A_27,V_27x_27))))),s__02(V_27A_27,V_27x_27))) ) ) ).
fof('thm.pair.CLOSED_PAIR_EQ',axiom,
! [V_27A_27,V_27B_27,V_27x_27,V_27y_27,V_27a_27,V_27b_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(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_27a_27),s__02(V_27B_27,V_27b_27)))
<=> ( s__02(V_27A_27,V_27x_27) = s__02(V_27A_27,V_27a_27)
& s__02(V_27B_27,V_27y_27) = s__02(V_27B_27,V_27b_27) ) ) ).
fof('thm.pair.pair_case_thm',axiom,
! [V_27A_27,V_27B_27,V_27C_27,V_27y_27,V_27x_27,V_27f_27] : s__02(V_27A_27,c_27const_2epair_2epair__CASE_27__02(s__02(c_27type_2epair_2eprod_27__02(V_27B_27,V_27C_27),c_27const_2epair_2e_2c_27__02(s__02(V_27B_27,V_27x_27),s__02(V_27C_27,V_27y_27))),s__02(cfun__02(V_27B_27,cfun__02(V_27C_27,V_27A_27)),V_27f_27))) = s__02(V_27A_27,chapp__02(s__02(cfun__02(V_27C_27,V_27A_27),chapp__02(s__02(cfun__02(V_27B_27,cfun__02(V_27C_27,V_27A_27)),V_27f_27),s__02(V_27B_27,V_27x_27))),s__02(V_27C_27,V_27y_27))) ).
fof('thm.list.list_case_def',axiom,
! [V_27B_27,V_27A_27] :
( ! [V_27v_27,V_27f_27] : s__02(V_27B_27,c_27const_2elist_2elist__CASE_27__03(s__02(c_27type_2elist_2elist_27__01(V_27A_27),c_27const_2elist_2eNIL_27__00),s__02(V_27B_27,V_27v_27),s__02(cfun__02(V_27A_27,cfun__02(c_27type_2elist_2elist_27__01(V_27A_27),V_27B_27)),V_27f_27))) = s__02(V_27B_27,V_27v_27)
& ! [V_27a0_27,V_27a1_27,V_27v_27,V_27f_27] : s__02(V_27B_27,c_27const_2elist_2elist__CASE_27__03(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))),s__02(V_27B_27,V_27v_27),s__02(cfun__02(V_27A_27,cfun__02(c_27type_2elist_2elist_27__01(V_27A_27),V_27B_27)),V_27f_27))) = s__02(V_27B_27,chapp__02(s__02(cfun__02(c_27type_2elist_2elist_27__01(V_27A_27),V_27B_27),chapp__02(s__02(cfun__02(V_27A_27,cfun__02(c_27type_2elist_2elist_27__01(V_27A_27),V_27B_27)),V_27f_27),s__02(V_27A_27,V_27a0_27))),s__02(c_27type_2elist_2elist_27__01(V_27A_27),V_27a1_27))) ) ).
fof('thm.list.list_nchotomy',axiom,
! [V_27A_27,V_27l_27] :
( s__02(c_27type_2elist_2elist_27__01(V_27A_27),V_27l_27) = s__02(c_27type_2elist_2elist_27__01(V_27A_27),c_27const_2elist_2eNIL_27__00)
| ? [V_27h_27,V_27t_27] : s__02(c_27type_2elist_2elist_27__01(V_27A_27),V_27l_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))) ) ).
fof('thm.ast.exp_11',axiom,
( ! [V_27a_27,V_27a_7c39_7c_27] :
( s__02(c_27type_2east_2eexp_27__00,c_27const_2east_2eRaise_27__01(s__02(c_27type_2east_2eexp_27__00,V_27a_27))) = s__02(c_27type_2east_2eexp_27__00,c_27const_2east_2eRaise_27__01(s__02(c_27type_2east_2eexp_27__00,V_27a_7c39_7c_27)))
<=> s__02(c_27type_2east_2eexp_27__00,V_27a_27) = s__02(c_27type_2east_2eexp_27__00,V_27a_7c39_7c_27) )
& ! [V_27a0_27,V_27a1_27,V_27a0_7c39_7c_27,V_27a1_7c39_7c_27] :
( s__02(c_27type_2east_2eexp_27__00,c_27const_2east_2eHandle_27__02(s__02(c_27type_2east_2eexp_27__00,V_27a0_27),s__02(c_27type_2elist_2elist_27__01(c_27type_2epair_2eprod_27__02(c_27type_2east_2epat_27__00,c_27type_2east_2eexp_27__00)),V_27a1_27))) = s__02(c_27type_2east_2eexp_27__00,c_27const_2east_2eHandle_27__02(s__02(c_27type_2east_2eexp_27__00,V_27a0_7c39_7c_27),s__02(c_27type_2elist_2elist_27__01(c_27type_2epair_2eprod_27__02(c_27type_2east_2epat_27__00,c_27type_2east_2eexp_27__00)),V_27a1_7c39_7c_27)))
<=> ( s__02(c_27type_2east_2eexp_27__00,V_27a0_27) = s__02(c_27type_2east_2eexp_27__00,V_27a0_7c39_7c_27)
& s__02(c_27type_2elist_2elist_27__01(c_27type_2epair_2eprod_27__02(c_27type_2east_2epat_27__00,c_27type_2east_2eexp_27__00)),V_27a1_27) = s__02(c_27type_2elist_2elist_27__01(c_27type_2epair_2eprod_27__02(c_27type_2east_2epat_27__00,c_27type_2east_2eexp_27__00)),V_27a1_7c39_7c_27) ) )
& ! [V_27a_27,V_27a_7c39_7c_27] :
( s__02(c_27type_2east_2eexp_27__00,c_27const_2east_2eLit_27__01(s__02(c_27type_2east_2elit_27__00,V_27a_27))) = s__02(c_27type_2east_2eexp_27__00,c_27const_2east_2eLit_27__01(s__02(c_27type_2east_2elit_27__00,V_27a_7c39_7c_27)))
<=> s__02(c_27type_2east_2elit_27__00,V_27a_27) = s__02(c_27type_2east_2elit_27__00,V_27a_7c39_7c_27) )
& ! [V_27a0_27,V_27a1_27,V_27a0_7c39_7c_27,V_27a1_7c39_7c_27] :
( s__02(c_27type_2east_2eexp_27__00,c_27const_2east_2eCon_27__02(s__02(c_27type_2eoption_2eoption_27__01(c_27type_2enamespace_2eid_27__02(c_27type_2elist_2elist_27__01(c_27type_2estring_2echar_27__00),c_27type_2elist_2elist_27__01(c_27type_2estring_2echar_27__00))),V_27a0_27),s__02(c_27type_2elist_2elist_27__01(c_27type_2east_2eexp_27__00),V_27a1_27))) = s__02(c_27type_2east_2eexp_27__00,c_27const_2east_2eCon_27__02(s__02(c_27type_2eoption_2eoption_27__01(c_27type_2enamespace_2eid_27__02(c_27type_2elist_2elist_27__01(c_27type_2estring_2echar_27__00),c_27type_2elist_2elist_27__01(c_27type_2estring_2echar_27__00))),V_27a0_7c39_7c_27),s__02(c_27type_2elist_2elist_27__01(c_27type_2east_2eexp_27__00),V_27a1_7c39_7c_27)))
<=> ( s__02(c_27type_2eoption_2eoption_27__01(c_27type_2enamespace_2eid_27__02(c_27type_2elist_2elist_27__01(c_27type_2estring_2echar_27__00),c_27type_2elist_2elist_27__01(c_27type_2estring_2echar_27__00))),V_27a0_27) = s__02(c_27type_2eoption_2eoption_27__01(c_27type_2enamespace_2eid_27__02(c_27type_2elist_2elist_27__01(c_27type_2estring_2echar_27__00),c_27type_2elist_2elist_27__01(c_27type_2estring_2echar_27__00))),V_27a0_7c39_7c_27)
& s__02(c_27type_2elist_2elist_27__01(c_27type_2east_2eexp_27__00),V_27a1_27) = s__02(c_27type_2elist_2elist_27__01(c_27type_2east_2eexp_27__00),V_27a1_7c39_7c_27) ) )
& ! [V_27a_27,V_27a_7c39_7c_27] :
( s__02(c_27type_2east_2eexp_27__00,c_27const_2east_2eVar_27__01(s__02(c_27type_2enamespace_2eid_27__02(c_27type_2elist_2elist_27__01(c_27type_2estring_2echar_27__00),c_27type_2elist_2elist_27__01(c_27type_2estring_2echar_27__00)),V_27a_27))) = s__02(c_27type_2east_2eexp_27__00,c_27const_2east_2eVar_27__01(s__02(c_27type_2enamespace_2eid_27__02(c_27type_2elist_2elist_27__01(c_27type_2estring_2echar_27__00),c_27type_2elist_2elist_27__01(c_27type_2estring_2echar_27__00)),V_27a_7c39_7c_27)))
<=> s__02(c_27type_2enamespace_2eid_27__02(c_27type_2elist_2elist_27__01(c_27type_2estring_2echar_27__00),c_27type_2elist_2elist_27__01(c_27type_2estring_2echar_27__00)),V_27a_27) = s__02(c_27type_2enamespace_2eid_27__02(c_27type_2elist_2elist_27__01(c_27type_2estring_2echar_27__00),c_27type_2elist_2elist_27__01(c_27type_2estring_2echar_27__00)),V_27a_7c39_7c_27) )
& ! [V_27a0_27,V_27a1_27,V_27a0_7c39_7c_27,V_27a1_7c39_7c_27] :
( s__02(c_27type_2east_2eexp_27__00,c_27const_2east_2eFun_27__02(s__02(c_27type_2elist_2elist_27__01(c_27type_2estring_2echar_27__00),V_27a0_27),s__02(c_27type_2east_2eexp_27__00,V_27a1_27))) = s__02(c_27type_2east_2eexp_27__00,c_27const_2east_2eFun_27__02(s__02(c_27type_2elist_2elist_27__01(c_27type_2estring_2echar_27__00),V_27a0_7c39_7c_27),s__02(c_27type_2east_2eexp_27__00,V_27a1_7c39_7c_27)))
<=> ( s__02(c_27type_2elist_2elist_27__01(c_27type_2estring_2echar_27__00),V_27a0_27) = s__02(c_27type_2elist_2elist_27__01(c_27type_2estring_2echar_27__00),V_27a0_7c39_7c_27)
& s__02(c_27type_2east_2eexp_27__00,V_27a1_27) = s__02(c_27type_2east_2eexp_27__00,V_27a1_7c39_7c_27) ) )
& ! [V_27a0_27,V_27a1_27,V_27a0_7c39_7c_27,V_27a1_7c39_7c_27] :
( s__02(c_27type_2east_2eexp_27__00,c_27const_2east_2eApp_27__02(s__02(c_27type_2east_2eop_27__00,V_27a0_27),s__02(c_27type_2elist_2elist_27__01(c_27type_2east_2eexp_27__00),V_27a1_27))) = s__02(c_27type_2east_2eexp_27__00,c_27const_2east_2eApp_27__02(s__02(c_27type_2east_2eop_27__00,V_27a0_7c39_7c_27),s__02(c_27type_2elist_2elist_27__01(c_27type_2east_2eexp_27__00),V_27a1_7c39_7c_27)))
<=> ( s__02(c_27type_2east_2eop_27__00,V_27a0_27) = s__02(c_27type_2east_2eop_27__00,V_27a0_7c39_7c_27)
& s__02(c_27type_2elist_2elist_27__01(c_27type_2east_2eexp_27__00),V_27a1_27) = s__02(c_27type_2elist_2elist_27__01(c_27type_2east_2eexp_27__00),V_27a1_7c39_7c_27) ) )
& ! [V_27a0_27,V_27a1_27,V_27a2_27,V_27a0_7c39_7c_27,V_27a1_7c39_7c_27,V_27a2_7c39_7c_27] :
( s__02(c_27type_2east_2eexp_27__00,c_27const_2east_2eLog_27__03(s__02(c_27type_2east_2elop_27__00,V_27a0_27),s__02(c_27type_2east_2eexp_27__00,V_27a1_27),s__02(c_27type_2east_2eexp_27__00,V_27a2_27))) = s__02(c_27type_2east_2eexp_27__00,c_27const_2east_2eLog_27__03(s__02(c_27type_2east_2elop_27__00,V_27a0_7c39_7c_27),s__02(c_27type_2east_2eexp_27__00,V_27a1_7c39_7c_27),s__02(c_27type_2east_2eexp_27__00,V_27a2_7c39_7c_27)))
<=> ( s__02(c_27type_2east_2elop_27__00,V_27a0_27) = s__02(c_27type_2east_2elop_27__00,V_27a0_7c39_7c_27)
& s__02(c_27type_2east_2eexp_27__00,V_27a1_27) = s__02(c_27type_2east_2eexp_27__00,V_27a1_7c39_7c_27)
& s__02(c_27type_2east_2eexp_27__00,V_27a2_27) = s__02(c_27type_2east_2eexp_27__00,V_27a2_7c39_7c_27) ) )
& ! [V_27a0_27,V_27a1_27,V_27a2_27,V_27a0_7c39_7c_27,V_27a1_7c39_7c_27,V_27a2_7c39_7c_27] :
( s__02(c_27type_2east_2eexp_27__00,c_27const_2east_2eIf_27__03(s__02(c_27type_2east_2eexp_27__00,V_27a0_27),s__02(c_27type_2east_2eexp_27__00,V_27a1_27),s__02(c_27type_2east_2eexp_27__00,V_27a2_27))) = s__02(c_27type_2east_2eexp_27__00,c_27const_2east_2eIf_27__03(s__02(c_27type_2east_2eexp_27__00,V_27a0_7c39_7c_27),s__02(c_27type_2east_2eexp_27__00,V_27a1_7c39_7c_27),s__02(c_27type_2east_2eexp_27__00,V_27a2_7c39_7c_27)))
<=> ( s__02(c_27type_2east_2eexp_27__00,V_27a0_27) = s__02(c_27type_2east_2eexp_27__00,V_27a0_7c39_7c_27)
& s__02(c_27type_2east_2eexp_27__00,V_27a1_27) = s__02(c_27type_2east_2eexp_27__00,V_27a1_7c39_7c_27)
& s__02(c_27type_2east_2eexp_27__00,V_27a2_27) = s__02(c_27type_2east_2eexp_27__00,V_27a2_7c39_7c_27) ) )
& ! [V_27a0_27,V_27a1_27,V_27a0_7c39_7c_27,V_27a1_7c39_7c_27] :
( s__02(c_27type_2east_2eexp_27__00,c_27const_2east_2eMat_27__02(s__02(c_27type_2east_2eexp_27__00,V_27a0_27),s__02(c_27type_2elist_2elist_27__01(c_27type_2epair_2eprod_27__02(c_27type_2east_2epat_27__00,c_27type_2east_2eexp_27__00)),V_27a1_27))) = s__02(c_27type_2east_2eexp_27__00,c_27const_2east_2eMat_27__02(s__02(c_27type_2east_2eexp_27__00,V_27a0_7c39_7c_27),s__02(c_27type_2elist_2elist_27__01(c_27type_2epair_2eprod_27__02(c_27type_2east_2epat_27__00,c_27type_2east_2eexp_27__00)),V_27a1_7c39_7c_27)))
<=> ( s__02(c_27type_2east_2eexp_27__00,V_27a0_27) = s__02(c_27type_2east_2eexp_27__00,V_27a0_7c39_7c_27)
& s__02(c_27type_2elist_2elist_27__01(c_27type_2epair_2eprod_27__02(c_27type_2east_2epat_27__00,c_27type_2east_2eexp_27__00)),V_27a1_27) = s__02(c_27type_2elist_2elist_27__01(c_27type_2epair_2eprod_27__02(c_27type_2east_2epat_27__00,c_27type_2east_2eexp_27__00)),V_27a1_7c39_7c_27) ) )
& ! [V_27a0_27,V_27a1_27,V_27a2_27,V_27a0_7c39_7c_27,V_27a1_7c39_7c_27,V_27a2_7c39_7c_27] :
( s__02(c_27type_2east_2eexp_27__00,c_27const_2east_2eLet_27__03(s__02(c_27type_2eoption_2eoption_27__01(c_27type_2elist_2elist_27__01(c_27type_2estring_2echar_27__00)),V_27a0_27),s__02(c_27type_2east_2eexp_27__00,V_27a1_27),s__02(c_27type_2east_2eexp_27__00,V_27a2_27))) = s__02(c_27type_2east_2eexp_27__00,c_27const_2east_2eLet_27__03(s__02(c_27type_2eoption_2eoption_27__01(c_27type_2elist_2elist_27__01(c_27type_2estring_2echar_27__00)),V_27a0_7c39_7c_27),s__02(c_27type_2east_2eexp_27__00,V_27a1_7c39_7c_27),s__02(c_27type_2east_2eexp_27__00,V_27a2_7c39_7c_27)))
<=> ( s__02(c_27type_2eoption_2eoption_27__01(c_27type_2elist_2elist_27__01(c_27type_2estring_2echar_27__00)),V_27a0_27) = s__02(c_27type_2eoption_2eoption_27__01(c_27type_2elist_2elist_27__01(c_27type_2estring_2echar_27__00)),V_27a0_7c39_7c_27)
& s__02(c_27type_2east_2eexp_27__00,V_27a1_27) = s__02(c_27type_2east_2eexp_27__00,V_27a1_7c39_7c_27)
& s__02(c_27type_2east_2eexp_27__00,V_27a2_27) = s__02(c_27type_2east_2eexp_27__00,V_27a2_7c39_7c_27) ) )
& ! [V_27a0_27,V_27a1_27,V_27a0_7c39_7c_27,V_27a1_7c39_7c_27] :
( s__02(c_27type_2east_2eexp_27__00,c_27const_2east_2eLetrec_27__02(s__02(c_27type_2elist_2elist_27__01(c_27type_2epair_2eprod_27__02(c_27type_2elist_2elist_27__01(c_27type_2estring_2echar_27__00),c_27type_2epair_2eprod_27__02(c_27type_2elist_2elist_27__01(c_27type_2estring_2echar_27__00),c_27type_2east_2eexp_27__00))),V_27a0_27),s__02(c_27type_2east_2eexp_27__00,V_27a1_27))) = s__02(c_27type_2east_2eexp_27__00,c_27const_2east_2eLetrec_27__02(s__02(c_27type_2elist_2elist_27__01(c_27type_2epair_2eprod_27__02(c_27type_2elist_2elist_27__01(c_27type_2estring_2echar_27__00),c_27type_2epair_2eprod_27__02(c_27type_2elist_2elist_27__01(c_27type_2estring_2echar_27__00),c_27type_2east_2eexp_27__00))),V_27a0_7c39_7c_27),s__02(c_27type_2east_2eexp_27__00,V_27a1_7c39_7c_27)))
<=> ( s__02(c_27type_2elist_2elist_27__01(c_27type_2epair_2eprod_27__02(c_27type_2elist_2elist_27__01(c_27type_2estring_2echar_27__00),c_27type_2epair_2eprod_27__02(c_27type_2elist_2elist_27__01(c_27type_2estring_2echar_27__00),c_27type_2east_2eexp_27__00))),V_27a0_27) = s__02(c_27type_2elist_2elist_27__01(c_27type_2epair_2eprod_27__02(c_27type_2elist_2elist_27__01(c_27type_2estring_2echar_27__00),c_27type_2epair_2eprod_27__02(c_27type_2elist_2elist_27__01(c_27type_2estring_2echar_27__00),c_27type_2east_2eexp_27__00))),V_27a0_7c39_7c_27)
& s__02(c_27type_2east_2eexp_27__00,V_27a1_27) = s__02(c_27type_2east_2eexp_27__00,V_27a1_7c39_7c_27) ) )
& ! [V_27a0_27,V_27a1_27,V_27a0_7c39_7c_27,V_27a1_7c39_7c_27] :
( s__02(c_27type_2east_2eexp_27__00,c_27const_2east_2eTannot_27__02(s__02(c_27type_2east_2eexp_27__00,V_27a0_27),s__02(c_27type_2east_2et_27__00,V_27a1_27))) = s__02(c_27type_2east_2eexp_27__00,c_27const_2east_2eTannot_27__02(s__02(c_27type_2east_2eexp_27__00,V_27a0_7c39_7c_27),s__02(c_27type_2east_2et_27__00,V_27a1_7c39_7c_27)))
<=> ( s__02(c_27type_2east_2eexp_27__00,V_27a0_27) = s__02(c_27type_2east_2eexp_27__00,V_27a0_7c39_7c_27)
& s__02(c_27type_2east_2et_27__00,V_27a1_27) = s__02(c_27type_2east_2et_27__00,V_27a1_7c39_7c_27) ) )
& ! [V_27a0_27,V_27a1_27,V_27a0_7c39_7c_27,V_27a1_7c39_7c_27] :
( s__02(c_27type_2east_2eexp_27__00,c_27const_2east_2eLannot_27__02(s__02(c_27type_2east_2eexp_27__00,V_27a0_27),s__02(c_27type_2elocation_2elocs_27__00,V_27a1_27))) = s__02(c_27type_2east_2eexp_27__00,c_27const_2east_2eLannot_27__02(s__02(c_27type_2east_2eexp_27__00,V_27a0_7c39_7c_27),s__02(c_27type_2elocation_2elocs_27__00,V_27a1_7c39_7c_27)))
<=> ( s__02(c_27type_2east_2eexp_27__00,V_27a0_27) = s__02(c_27type_2east_2eexp_27__00,V_27a0_7c39_7c_27)
& s__02(c_27type_2elocation_2elocs_27__00,V_27a1_27) = s__02(c_27type_2elocation_2elocs_27__00,V_27a1_7c39_7c_27) ) ) ) ).
fof('thm.ast.exp_distinct',axiom,
( ! [V_27a1_27,V_27a0_27,V_27a_27] : s__02(c_27type_2east_2eexp_27__00,c_27const_2east_2eRaise_27__01(s__02(c_27type_2east_2eexp_27__00,V_27a_27))) != s__02(c_27type_2east_2eexp_27__00,c_27const_2east_2eHandle_27__02(s__02(c_27type_2east_2eexp_27__00,V_27a0_27),s__02(c_27type_2elist_2elist_27__01(c_27type_2epair_2eprod_27__02(c_27type_2east_2epat_27__00,c_27type_2east_2eexp_27__00)),V_27a1_27)))
& ! [V_27a_7c39_7c_27,V_27a_27] : s__02(c_27type_2east_2eexp_27__00,c_27const_2east_2eRaise_27__01(s__02(c_27type_2east_2eexp_27__00,V_27a_27))) != s__02(c_27type_2east_2eexp_27__00,c_27const_2east_2eLit_27__01(s__02(c_27type_2east_2elit_27__00,V_27a_7c39_7c_27)))
& ! [V_27a1_27,V_27a0_27,V_27a_27] : s__02(c_27type_2east_2eexp_27__00,c_27const_2east_2eRaise_27__01(s__02(c_27type_2east_2eexp_27__00,V_27a_27))) != s__02(c_27type_2east_2eexp_27__00,c_27const_2east_2eCon_27__02(s__02(c_27type_2eoption_2eoption_27__01(c_27type_2enamespace_2eid_27__02(c_27type_2elist_2elist_27__01(c_27type_2estring_2echar_27__00),c_27type_2elist_2elist_27__01(c_27type_2estring_2echar_27__00))),V_27a0_27),s__02(c_27type_2elist_2elist_27__01(c_27type_2east_2eexp_27__00),V_27a1_27)))
& ! [V_27a_7c39_7c_27,V_27a_27] : s__02(c_27type_2east_2eexp_27__00,c_27const_2east_2eRaise_27__01(s__02(c_27type_2east_2eexp_27__00,V_27a_27))) != s__02(c_27type_2east_2eexp_27__00,c_27const_2east_2eVar_27__01(s__02(c_27type_2enamespace_2eid_27__02(c_27type_2elist_2elist_27__01(c_27type_2estring_2echar_27__00),c_27type_2elist_2elist_27__01(c_27type_2estring_2echar_27__00)),V_27a_7c39_7c_27)))
& ! [V_27a1_27,V_27a0_27,V_27a_27] : s__02(c_27type_2east_2eexp_27__00,c_27const_2east_2eRaise_27__01(s__02(c_27type_2east_2eexp_27__00,V_27a_27))) != s__02(c_27type_2east_2eexp_27__00,c_27const_2east_2eFun_27__02(s__02(c_27type_2elist_2elist_27__01(c_27type_2estring_2echar_27__00),V_27a0_27),s__02(c_27type_2east_2eexp_27__00,V_27a1_27)))
& ! [V_27a1_27,V_27a0_27,V_27a_27] : s__02(c_27type_2east_2eexp_27__00,c_27const_2east_2eRaise_27__01(s__02(c_27type_2east_2eexp_27__00,V_27a_27))) != s__02(c_27type_2east_2eexp_27__00,c_27const_2east_2eApp_27__02(s__02(c_27type_2east_2eop_27__00,V_27a0_27),s__02(c_27type_2elist_2elist_27__01(c_27type_2east_2eexp_27__00),V_27a1_27)))
& ! [V_27a2_27,V_27a1_27,V_27a0_27,V_27a_27] : s__02(c_27type_2east_2eexp_27__00,c_27const_2east_2eRaise_27__01(s__02(c_27type_2east_2eexp_27__00,V_27a_27))) != s__02(c_27type_2east_2eexp_27__00,c_27const_2east_2eLog_27__03(s__02(c_27type_2east_2elop_27__00,V_27a0_27),s__02(c_27type_2east_2eexp_27__00,V_27a1_27),s__02(c_27type_2east_2eexp_27__00,V_27a2_27)))
& ! [V_27a2_27,V_27a1_27,V_27a0_27,V_27a_27] : s__02(c_27type_2east_2eexp_27__00,c_27const_2east_2eRaise_27__01(s__02(c_27type_2east_2eexp_27__00,V_27a_27))) != s__02(c_27type_2east_2eexp_27__00,c_27const_2east_2eIf_27__03(s__02(c_27type_2east_2eexp_27__00,V_27a0_27),s__02(c_27type_2east_2eexp_27__00,V_27a1_27),s__02(c_27type_2east_2eexp_27__00,V_27a2_27)))
& ! [V_27a1_27,V_27a0_27,V_27a_27] : s__02(c_27type_2east_2eexp_27__00,c_27const_2east_2eRaise_27__01(s__02(c_27type_2east_2eexp_27__00,V_27a_27))) != s__02(c_27type_2east_2eexp_27__00,c_27const_2east_2eMat_27__02(s__02(c_27type_2east_2eexp_27__00,V_27a0_27),s__02(c_27type_2elist_2elist_27__01(c_27type_2epair_2eprod_27__02(c_27type_2east_2epat_27__00,c_27type_2east_2eexp_27__00)),V_27a1_27)))
& ! [V_27a2_27,V_27a1_27,V_27a0_27,V_27a_27] : s__02(c_27type_2east_2eexp_27__00,c_27const_2east_2eRaise_27__01(s__02(c_27type_2east_2eexp_27__00,V_27a_27))) != s__02(c_27type_2east_2eexp_27__00,c_27const_2east_2eLet_27__03(s__02(c_27type_2eoption_2eoption_27__01(c_27type_2elist_2elist_27__01(c_27type_2estring_2echar_27__00)),V_27a0_27),s__02(c_27type_2east_2eexp_27__00,V_27a1_27),s__02(c_27type_2east_2eexp_27__00,V_27a2_27)))
& ! [V_27a1_27,V_27a0_27,V_27a_27] : s__02(c_27type_2east_2eexp_27__00,c_27const_2east_2eRaise_27__01(s__02(c_27type_2east_2eexp_27__00,V_27a_27))) != s__02(c_27type_2east_2eexp_27__00,c_27const_2east_2eLetrec_27__02(s__02(c_27type_2elist_2elist_27__01(c_27type_2epair_2eprod_27__02(c_27type_2elist_2elist_27__01(c_27type_2estring_2echar_27__00),c_27type_2epair_2eprod_27__02(c_27type_2elist_2elist_27__01(c_27type_2estring_2echar_27__00),c_27type_2east_2eexp_27__00))),V_27a0_27),s__02(c_27type_2east_2eexp_27__00,V_27a1_27)))
& ! [V_27a1_27,V_27a0_27,V_27a_27] : s__02(c_27type_2east_2eexp_27__00,c_27const_2east_2eRaise_27__01(s__02(c_27type_2east_2eexp_27__00,V_27a_27))) != s__02(c_27type_2east_2eexp_27__00,c_27const_2east_2eTannot_27__02(s__02(c_27type_2east_2eexp_27__00,V_27a0_27),s__02(c_27type_2east_2et_27__00,V_27a1_27)))
& ! [V_27a1_27,V_27a0_27,V_27a_27] : s__02(c_27type_2east_2eexp_27__00,c_27const_2east_2eRaise_27__01(s__02(c_27type_2east_2eexp_27__00,V_27a_27))) != s__02(c_27type_2east_2eexp_27__00,c_27const_2east_2eLannot_27__02(s__02(c_27type_2east_2eexp_27__00,V_27a0_27),s__02(c_27type_2elocation_2elocs_27__00,V_27a1_27)))
& ! [V_27a1_27,V_27a0_27,V_27a_27] : s__02(c_27type_2east_2eexp_27__00,c_27const_2east_2eHandle_27__02(s__02(c_27type_2east_2eexp_27__00,V_27a0_27),s__02(c_27type_2elist_2elist_27__01(c_27type_2epair_2eprod_27__02(c_27type_2east_2epat_27__00,c_27type_2east_2eexp_27__00)),V_27a1_27))) != s__02(c_27type_2east_2eexp_27__00,c_27const_2east_2eLit_27__01(s__02(c_27type_2east_2elit_27__00,V_27a_27)))
& ! [V_27a1_7c39_7c_27,V_27a1_27,V_27a0_7c39_7c_27,V_27a0_27] : s__02(c_27type_2east_2eexp_27__00,c_27const_2east_2eHandle_27__02(s__02(c_27type_2east_2eexp_27__00,V_27a0_27),s__02(c_27type_2elist_2elist_27__01(c_27type_2epair_2eprod_27__02(c_27type_2east_2epat_27__00,c_27type_2east_2eexp_27__00)),V_27a1_27))) != s__02(c_27type_2east_2eexp_27__00,c_27const_2east_2eCon_27__02(s__02(c_27type_2eoption_2eoption_27__01(c_27type_2enamespace_2eid_27__02(c_27type_2elist_2elist_27__01(c_27type_2estring_2echar_27__00),c_27type_2elist_2elist_27__01(c_27type_2estring_2echar_27__00))),V_27a0_7c39_7c_27),s__02(c_27type_2elist_2elist_27__01(c_27type_2east_2eexp_27__00),V_27a1_7c39_7c_27)))
& ! [V_27a1_27,V_27a0_27,V_27a_27] : s__02(c_27type_2east_2eexp_27__00,c_27const_2east_2eHandle_27__02(s__02(c_27type_2east_2eexp_27__00,V_27a0_27),s__02(c_27type_2elist_2elist_27__01(c_27type_2epair_2eprod_27__02(c_27type_2east_2epat_27__00,c_27type_2east_2eexp_27__00)),V_27a1_27))) != s__02(c_27type_2east_2eexp_27__00,c_27const_2east_2eVar_27__01(s__02(c_27type_2enamespace_2eid_27__02(c_27type_2elist_2elist_27__01(c_27type_2estring_2echar_27__00),c_27type_2elist_2elist_27__01(c_27type_2estring_2echar_27__00)),V_27a_27)))
& ! [V_27a1_7c39_7c_27,V_27a1_27,V_27a0_7c39_7c_27,V_27a0_27] : s__02(c_27type_2east_2eexp_27__00,c_27const_2east_2eHandle_27__02(s__02(c_27type_2east_2eexp_27__00,V_27a0_27),s__02(c_27type_2elist_2elist_27__01(c_27type_2epair_2eprod_27__02(c_27type_2east_2epat_27__00,c_27type_2east_2eexp_27__00)),V_27a1_27))) != s__02(c_27type_2east_2eexp_27__00,c_27const_2east_2eFun_27__02(s__02(c_27type_2elist_2elist_27__01(c_27type_2estring_2echar_27__00),V_27a0_7c39_7c_27),s__02(c_27type_2east_2eexp_27__00,V_27a1_7c39_7c_27)))
& ! [V_27a1_7c39_7c_27,V_27a1_27,V_27a0_7c39_7c_27,V_27a0_27] : s__02(c_27type_2east_2eexp_27__00,c_27const_2east_2eHandle_27__02(s__02(c_27type_2east_2eexp_27__00,V_27a0_27),s__02(c_27type_2elist_2elist_27__01(c_27type_2epair_2eprod_27__02(c_27type_2east_2epat_27__00,c_27type_2east_2eexp_27__00)),V_27a1_27))) != s__02(c_27type_2east_2eexp_27__00,c_27const_2east_2eApp_27__02(s__02(c_27type_2east_2eop_27__00,V_27a0_7c39_7c_27),s__02(c_27type_2elist_2elist_27__01(c_27type_2east_2eexp_27__00),V_27a1_7c39_7c_27)))
& ! [V_27a2_27,V_27a1_7c39_7c_27,V_27a1_27,V_27a0_7c39_7c_27,V_27a0_27] : s__02(c_27type_2east_2eexp_27__00,c_27const_2east_2eHandle_27__02(s__02(c_27type_2east_2eexp_27__00,V_27a0_27),s__02(c_27type_2elist_2elist_27__01(c_27type_2epair_2eprod_27__02(c_27type_2east_2epat_27__00,c_27type_2east_2eexp_27__00)),V_27a1_27))) != s__02(c_27type_2east_2eexp_27__00,c_27const_2east_2eLog_27__03(s__02(c_27type_2east_2elop_27__00,V_27a0_7c39_7c_27),s__02(c_27type_2east_2eexp_27__00,V_27a1_7c39_7c_27),s__02(c_27type_2east_2eexp_27__00,V_27a2_27)))
& ! [V_27a2_27,V_27a1_7c39_7c_27,V_27a1_27,V_27a0_7c39_7c_27,V_27a0_27] : s__02(c_27type_2east_2eexp_27__00,c_27const_2east_2eHandle_27__02(s__02(c_27type_2east_2eexp_27__00,V_27a0_27),s__02(c_27type_2elist_2elist_27__01(c_27type_2epair_2eprod_27__02(c_27type_2east_2epat_27__00,c_27type_2east_2eexp_27__00)),V_27a1_27))) != s__02(c_27type_2east_2eexp_27__00,c_27const_2east_2eIf_27__03(s__02(c_27type_2east_2eexp_27__00,V_27a0_7c39_7c_27),s__02(c_27type_2east_2eexp_27__00,V_27a1_7c39_7c_27),s__02(c_27type_2east_2eexp_27__00,V_27a2_27)))
& ! [V_27a1_7c39_7c_27,V_27a1_27,V_27a0_7c39_7c_27,V_27a0_27] : s__02(c_27type_2east_2eexp_27__00,c_27const_2east_2eHandle_27__02(s__02(c_27type_2east_2eexp_27__00,V_27a0_27),s__02(c_27type_2elist_2elist_27__01(c_27type_2epair_2eprod_27__02(c_27type_2east_2epat_27__00,c_27type_2east_2eexp_27__00)),V_27a1_27))) != s__02(c_27type_2east_2eexp_27__00,c_27const_2east_2eMat_27__02(s__02(c_27type_2east_2eexp_27__00,V_27a0_7c39_7c_27),s__02(c_27type_2elist_2elist_27__01(c_27type_2epair_2eprod_27__02(c_27type_2east_2epat_27__00,c_27type_2east_2eexp_27__00)),V_27a1_7c39_7c_27)))
& ! [V_27a2_27,V_27a1_7c39_7c_27,V_27a1_27,V_27a0_7c39_7c_27,V_27a0_27] : s__02(c_27type_2east_2eexp_27__00,c_27const_2east_2eHandle_27__02(s__02(c_27type_2east_2eexp_27__00,V_27a0_27),s__02(c_27type_2elist_2elist_27__01(c_27type_2epair_2eprod_27__02(c_27type_2east_2epat_27__00,c_27type_2east_2eexp_27__00)),V_27a1_27))) != s__02(c_27type_2east_2eexp_27__00,c_27const_2east_2eLet_27__03(s__02(c_27type_2eoption_2eoption_27__01(c_27type_2elist_2elist_27__01(c_27type_2estring_2echar_27__00)),V_27a0_7c39_7c_27),s__02(c_27type_2east_2eexp_27__00,V_27a1_7c39_7c_27),s__02(c_27type_2east_2eexp_27__00,V_27a2_27)))
& ! [V_27a1_7c39_7c_27,V_27a1_27,V_27a0_7c39_7c_27,V_27a0_27] : s__02(c_27type_2east_2eexp_27__00,c_27const_2east_2eHandle_27__02(s__02(c_27type_2east_2eexp_27__00,V_27a0_27),s__02(c_27type_2elist_2elist_27__01(c_27type_2epair_2eprod_27__02(c_27type_2east_2epat_27__00,c_27type_2east_2eexp_27__00)),V_27a1_27))) != s__02(c_27type_2east_2eexp_27__00,c_27const_2east_2eLetrec_27__02(s__02(c_27type_2elist_2elist_27__01(c_27type_2epair_2eprod_27__02(c_27type_2elist_2elist_27__01(c_27type_2estring_2echar_27__00),c_27type_2epair_2eprod_27__02(c_27type_2elist_2elist_27__01(c_27type_2estring_2echar_27__00),c_27type_2east_2eexp_27__00))),V_27a0_7c39_7c_27),s__02(c_27type_2east_2eexp_27__00,V_27a1_7c39_7c_27)))
& ! [V_27a1_7c39_7c_27,V_27a1_27,V_27a0_7c39_7c_27,V_27a0_27] : s__02(c_27type_2east_2eexp_27__00,c_27const_2east_2eHandle_27__02(s__02(c_27type_2east_2eexp_27__00,V_27a0_27),s__02(c_27type_2elist_2elist_27__01(c_27type_2epair_2eprod_27__02(c_27type_2east_2epat_27__00,c_27type_2east_2eexp_27__00)),V_27a1_27))) != s__02(c_27type_2east_2eexp_27__00,c_27const_2east_2eTannot_27__02(s__02(c_27type_2east_2eexp_27__00,V_27a0_7c39_7c_27),s__02(c_27type_2east_2et_27__00,V_27a1_7c39_7c_27)))
& ! [V_27a1_7c39_7c_27,V_27a1_27,V_27a0_7c39_7c_27,V_27a0_27] : s__02(c_27type_2east_2eexp_27__00,c_27const_2east_2eHandle_27__02(s__02(c_27type_2east_2eexp_27__00,V_27a0_27),s__02(c_27type_2elist_2elist_27__01(c_27type_2epair_2eprod_27__02(c_27type_2east_2epat_27__00,c_27type_2east_2eexp_27__00)),V_27a1_27))) != s__02(c_27type_2east_2eexp_27__00,c_27const_2east_2eLannot_27__02(s__02(c_27type_2east_2eexp_27__00,V_27a0_7c39_7c_27),s__02(c_27type_2elocation_2elocs_27__00,V_27a1_7c39_7c_27)))
& ! [V_27a1_27,V_27a0_27,V_27a_27] : s__02(c_27type_2east_2eexp_27__00,c_27const_2east_2eLit_27__01(s__02(c_27type_2east_2elit_27__00,V_27a_27))) != s__02(c_27type_2east_2eexp_27__00,c_27const_2east_2eCon_27__02(s__02(c_27type_2eoption_2eoption_27__01(c_27type_2enamespace_2eid_27__02(c_27type_2elist_2elist_27__01(c_27type_2estring_2echar_27__00),c_27type_2elist_2elist_27__01(c_27type_2estring_2echar_27__00))),V_27a0_27),s__02(c_27type_2elist_2elist_27__01(c_27type_2east_2eexp_27__00),V_27a1_27)))
& ! [V_27a_7c39_7c_27,V_27a_27] : s__02(c_27type_2east_2eexp_27__00,c_27const_2east_2eLit_27__01(s__02(c_27type_2east_2elit_27__00,V_27a_27))) != s__02(c_27type_2east_2eexp_27__00,c_27const_2east_2eVar_27__01(s__02(c_27type_2enamespace_2eid_27__02(c_27type_2elist_2elist_27__01(c_27type_2estring_2echar_27__00),c_27type_2elist_2elist_27__01(c_27type_2estring_2echar_27__00)),V_27a_7c39_7c_27)))
& ! [V_27a1_27,V_27a0_27,V_27a_27] : s__02(c_27type_2east_2eexp_27__00,c_27const_2east_2eLit_27__01(s__02(c_27type_2east_2elit_27__00,V_27a_27))) != s__02(c_27type_2east_2eexp_27__00,c_27const_2east_2eFun_27__02(s__02(c_27type_2elist_2elist_27__01(c_27type_2estring_2echar_27__00),V_27a0_27),s__02(c_27type_2east_2eexp_27__00,V_27a1_27)))
& ! [V_27a1_27,V_27a0_27,V_27a_27] : s__02(c_27type_2east_2eexp_27__00,c_27const_2east_2eLit_27__01(s__02(c_27type_2east_2elit_27__00,V_27a_27))) != s__02(c_27type_2east_2eexp_27__00,c_27const_2east_2eApp_27__02(s__02(c_27type_2east_2eop_27__00,V_27a0_27),s__02(c_27type_2elist_2elist_27__01(c_27type_2east_2eexp_27__00),V_27a1_27)))
& ! [V_27a2_27,V_27a1_27,V_27a0_27,V_27a_27] : s__02(c_27type_2east_2eexp_27__00,c_27const_2east_2eLit_27__01(s__02(c_27type_2east_2elit_27__00,V_27a_27))) != s__02(c_27type_2east_2eexp_27__00,c_27const_2east_2eLog_27__03(s__02(c_27type_2east_2elop_27__00,V_27a0_27),s__02(c_27type_2east_2eexp_27__00,V_27a1_27),s__02(c_27type_2east_2eexp_27__00,V_27a2_27)))
& ! [V_27a2_27,V_27a1_27,V_27a0_27,V_27a_27] : s__02(c_27type_2east_2eexp_27__00,c_27const_2east_2eLit_27__01(s__02(c_27type_2east_2elit_27__00,V_27a_27))) != s__02(c_27type_2east_2eexp_27__00,c_27const_2east_2eIf_27__03(s__02(c_27type_2east_2eexp_27__00,V_27a0_27),s__02(c_27type_2east_2eexp_27__00,V_27a1_27),s__02(c_27type_2east_2eexp_27__00,V_27a2_27)))
& ! [V_27a1_27,V_27a0_27,V_27a_27] : s__02(c_27type_2east_2eexp_27__00,c_27const_2east_2eLit_27__01(s__02(c_27type_2east_2elit_27__00,V_27a_27))) != s__02(c_27type_2east_2eexp_27__00,c_27const_2east_2eMat_27__02(s__02(c_27type_2east_2eexp_27__00,V_27a0_27),s__02(c_27type_2elist_2elist_27__01(c_27type_2epair_2eprod_27__02(c_27type_2east_2epat_27__00,c_27type_2east_2eexp_27__00)),V_27a1_27)))
& ! [V_27a2_27,V_27a1_27,V_27a0_27,V_27a_27] : s__02(c_27type_2east_2eexp_27__00,c_27const_2east_2eLit_27__01(s__02(c_27type_2east_2elit_27__00,V_27a_27))) != s__02(c_27type_2east_2eexp_27__00,c_27const_2east_2eLet_27__03(s__02(c_27type_2eoption_2eoption_27__01(c_27type_2elist_2elist_27__01(c_27type_2estring_2echar_27__00)),V_27a0_27),s__02(c_27type_2east_2eexp_27__00,V_27a1_27),s__02(c_27type_2east_2eexp_27__00,V_27a2_27)))
& ! [V_27a1_27,V_27a0_27,V_27a_27] : s__02(c_27type_2east_2eexp_27__00,c_27const_2east_2eLit_27__01(s__02(c_27type_2east_2elit_27__00,V_27a_27))) != s__02(c_27type_2east_2eexp_27__00,c_27const_2east_2eLetrec_27__02(s__02(c_27type_2elist_2elist_27__01(c_27type_2epair_2eprod_27__02(c_27type_2elist_2elist_27__01(c_27type_2estring_2echar_27__00),c_27type_2epair_2eprod_27__02(c_27type_2elist_2elist_27__01(c_27type_2estring_2echar_27__00),c_27type_2east_2eexp_27__00))),V_27a0_27),s__02(c_27type_2east_2eexp_27__00,V_27a1_27)))
& ! [V_27a1_27,V_27a0_27,V_27a_27] : s__02(c_27type_2east_2eexp_27__00,c_27const_2east_2eLit_27__01(s__02(c_27type_2east_2elit_27__00,V_27a_27))) != s__02(c_27type_2east_2eexp_27__00,c_27const_2east_2eTannot_27__02(s__02(c_27type_2east_2eexp_27__00,V_27a0_27),s__02(c_27type_2east_2et_27__00,V_27a1_27)))
& ! [V_27a1_27,V_27a0_27,V_27a_27] : s__02(c_27type_2east_2eexp_27__00,c_27const_2east_2eLit_27__01(s__02(c_27type_2east_2elit_27__00,V_27a_27))) != s__02(c_27type_2east_2eexp_27__00,c_27const_2east_2eLannot_27__02(s__02(c_27type_2east_2eexp_27__00,V_27a0_27),s__02(c_27type_2elocation_2elocs_27__00,V_27a1_27)))
& ! [V_27a1_27,V_27a0_27,V_27a_27] : s__02(c_27type_2east_2eexp_27__00,c_27const_2east_2eCon_27__02(s__02(c_27type_2eoption_2eoption_27__01(c_27type_2enamespace_2eid_27__02(c_27type_2elist_2elist_27__01(c_27type_2estring_2echar_27__00),c_27type_2elist_2elist_27__01(c_27type_2estring_2echar_27__00))),V_27a0_27),s__02(c_27type_2elist_2elist_27__01(c_27type_2east_2eexp_27__00),V_27a1_27))) != s__02(c_27type_2east_2eexp_27__00,c_27const_2east_2eVar_27__01(s__02(c_27type_2enamespace_2eid_27__02(c_27type_2elist_2elist_27__01(c_27type_2estring_2echar_27__00),c_27type_2elist_2elist_27__01(c_27type_2estring_2echar_27__00)),V_27a_27)))
& ! [V_27a1_7c39_7c_27,V_27a1_27,V_27a0_7c39_7c_27,V_27a0_27] : s__02(c_27type_2east_2eexp_27__00,c_27const_2east_2eCon_27__02(s__02(c_27type_2eoption_2eoption_27__01(c_27type_2enamespace_2eid_27__02(c_27type_2elist_2elist_27__01(c_27type_2estring_2echar_27__00),c_27type_2elist_2elist_27__01(c_27type_2estring_2echar_27__00))),V_27a0_27),s__02(c_27type_2elist_2elist_27__01(c_27type_2east_2eexp_27__00),V_27a1_27))) != s__02(c_27type_2east_2eexp_27__00,c_27const_2east_2eFun_27__02(s__02(c_27type_2elist_2elist_27__01(c_27type_2estring_2echar_27__00),V_27a0_7c39_7c_27),s__02(c_27type_2east_2eexp_27__00,V_27a1_7c39_7c_27)))
& ! [V_27a1_7c39_7c_27,V_27a1_27,V_27a0_7c39_7c_27,V_27a0_27] : s__02(c_27type_2east_2eexp_27__00,c_27const_2east_2eCon_27__02(s__02(c_27type_2eoption_2eoption_27__01(c_27type_2enamespace_2eid_27__02(c_27type_2elist_2elist_27__01(c_27type_2estring_2echar_27__00),c_27type_2elist_2elist_27__01(c_27type_2estring_2echar_27__00))),V_27a0_27),s__02(c_27type_2elist_2elist_27__01(c_27type_2east_2eexp_27__00),V_27a1_27))) != s__02(c_27type_2east_2eexp_27__00,c_27const_2east_2eApp_27__02(s__02(c_27type_2east_2eop_27__00,V_27a0_7c39_7c_27),s__02(c_27type_2elist_2elist_27__01(c_27type_2east_2eexp_27__00),V_27a1_7c39_7c_27)))
& ! [V_27a2_27,V_27a1_7c39_7c_27,V_27a1_27,V_27a0_7c39_7c_27,V_27a0_27] : s__02(c_27type_2east_2eexp_27__00,c_27const_2east_2eCon_27__02(s__02(c_27type_2eoption_2eoption_27__01(c_27type_2enamespace_2eid_27__02(c_27type_2elist_2elist_27__01(c_27type_2estring_2echar_27__00),c_27type_2elist_2elist_27__01(c_27type_2estring_2echar_27__00))),V_27a0_27),s__02(c_27type_2elist_2elist_27__01(c_27type_2east_2eexp_27__00),V_27a1_27))) != s__02(c_27type_2east_2eexp_27__00,c_27const_2east_2eLog_27__03(s__02(c_27type_2east_2elop_27__00,V_27a0_7c39_7c_27),s__02(c_27type_2east_2eexp_27__00,V_27a1_7c39_7c_27),s__02(c_27type_2east_2eexp_27__00,V_27a2_27)))
& ! [V_27a2_27,V_27a1_7c39_7c_27,V_27a1_27,V_27a0_7c39_7c_27,V_27a0_27] : s__02(c_27type_2east_2eexp_27__00,c_27const_2east_2eCon_27__02(s__02(c_27type_2eoption_2eoption_27__01(c_27type_2enamespace_2eid_27__02(c_27type_2elist_2elist_27__01(c_27type_2estring_2echar_27__00),c_27type_2elist_2elist_27__01(c_27type_2estring_2echar_27__00))),V_27a0_27),s__02(c_27type_2elist_2elist_27__01(c_27type_2east_2eexp_27__00),V_27a1_27))) != s__02(c_27type_2east_2eexp_27__00,c_27const_2east_2eIf_27__03(s__02(c_27type_2east_2eexp_27__00,V_27a0_7c39_7c_27),s__02(c_27type_2east_2eexp_27__00,V_27a1_7c39_7c_27),s__02(c_27type_2east_2eexp_27__00,V_27a2_27)))
& ! [V_27a1_7c39_7c_27,V_27a1_27,V_27a0_7c39_7c_27,V_27a0_27] : s__02(c_27type_2east_2eexp_27__00,c_27const_2east_2eCon_27__02(s__02(c_27type_2eoption_2eoption_27__01(c_27type_2enamespace_2eid_27__02(c_27type_2elist_2elist_27__01(c_27type_2estring_2echar_27__00),c_27type_2elist_2elist_27__01(c_27type_2estring_2echar_27__00))),V_27a0_27),s__02(c_27type_2elist_2elist_27__01(c_27type_2east_2eexp_27__00),V_27a1_27))) != s__02(c_27type_2east_2eexp_27__00,c_27const_2east_2eMat_27__02(s__02(c_27type_2east_2eexp_27__00,V_27a0_7c39_7c_27),s__02(c_27type_2elist_2elist_27__01(c_27type_2epair_2eprod_27__02(c_27type_2east_2epat_27__00,c_27type_2east_2eexp_27__00)),V_27a1_7c39_7c_27)))
& ! [V_27a2_27,V_27a1_7c39_7c_27,V_27a1_27,V_27a0_7c39_7c_27,V_27a0_27] : s__02(c_27type_2east_2eexp_27__00,c_27const_2east_2eCon_27__02(s__02(c_27type_2eoption_2eoption_27__01(c_27type_2enamespace_2eid_27__02(c_27type_2elist_2elist_27__01(c_27type_2estring_2echar_27__00),c_27type_2elist_2elist_27__01(c_27type_2estring_2echar_27__00))),V_27a0_27),s__02(c_27type_2elist_2elist_27__01(c_27type_2east_2eexp_27__00),V_27a1_27))) != s__02(c_27type_2east_2eexp_27__00,c_27const_2east_2eLet_27__03(s__02(c_27type_2eoption_2eoption_27__01(c_27type_2elist_2elist_27__01(c_27type_2estring_2echar_27__00)),V_27a0_7c39_7c_27),s__02(c_27type_2east_2eexp_27__00,V_27a1_7c39_7c_27),s__02(c_27type_2east_2eexp_27__00,V_27a2_27)))
& ! [V_27a1_7c39_7c_27,V_27a1_27,V_27a0_7c39_7c_27,V_27a0_27] : s__02(c_27type_2east_2eexp_27__00,c_27const_2east_2eCon_27__02(s__02(c_27type_2eoption_2eoption_27__01(c_27type_2enamespace_2eid_27__02(c_27type_2elist_2elist_27__01(c_27type_2estring_2echar_27__00),c_27type_2elist_2elist_27__01(c_27type_2estring_2echar_27__00))),V_27a0_27),s__02(c_27type_2elist_2elist_27__01(c_27type_2east_2eexp_27__00),V_27a1_27))) != s__02(c_27type_2east_2eexp_27__00,c_27const_2east_2eLetrec_27__02(s__02(c_27type_2elist_2elist_27__01(c_27type_2epair_2eprod_27__02(c_27type_2elist_2elist_27__01(c_27type_2estring_2echar_27__00),c_27type_2epair_2eprod_27__02(c_27type_2elist_2elist_27__01(c_27type_2estring_2echar_27__00),c_27type_2east_2eexp_27__00))),V_27a0_7c39_7c_27),s__02(c_27type_2east_2eexp_27__00,V_27a1_7c39_7c_27)))
& ! [V_27a1_7c39_7c_27,V_27a1_27,V_27a0_7c39_7c_27,V_27a0_27] : s__02(c_27type_2east_2eexp_27__00,c_27const_2east_2eCon_27__02(s__02(c_27type_2eoption_2eoption_27__01(c_27type_2enamespace_2eid_27__02(c_27type_2elist_2elist_27__01(c_27type_2estring_2echar_27__00),c_27type_2elist_2elist_27__01(c_27type_2estring_2echar_27__00))),V_27a0_27),s__02(c_27type_2elist_2elist_27__01(c_27type_2east_2eexp_27__00),V_27a1_27))) != s__02(c_27type_2east_2eexp_27__00,c_27const_2east_2eTannot_27__02(s__02(c_27type_2east_2eexp_27__00,V_27a0_7c39_7c_27),s__02(c_27type_2east_2et_27__00,V_27a1_7c39_7c_27)))
& ! [V_27a1_7c39_7c_27,V_27a1_27,V_27a0_7c39_7c_27,V_27a0_27] : s__02(c_27type_2east_2eexp_27__00,c_27const_2east_2eCon_27__02(s__02(c_27type_2eoption_2eoption_27__01(c_27type_2enamespace_2eid_27__02(c_27type_2elist_2elist_27__01(c_27type_2estring_2echar_27__00),c_27type_2elist_2elist_27__01(c_27type_2estring_2echar_27__00))),V_27a0_27),s__02(c_27type_2elist_2elist_27__01(c_27type_2east_2eexp_27__00),V_27a1_27))) != s__02(c_27type_2east_2eexp_27__00,c_27const_2east_2eLannot_27__02(s__02(c_27type_2east_2eexp_27__00,V_27a0_7c39_7c_27),s__02(c_27type_2elocation_2elocs_27__00,V_27a1_7c39_7c_27)))
& ! [V_27a1_27,V_27a0_27,V_27a_27] : s__02(c_27type_2east_2eexp_27__00,c_27const_2east_2eVar_27__01(s__02(c_27type_2enamespace_2eid_27__02(c_27type_2elist_2elist_27__01(c_27type_2estring_2echar_27__00),c_27type_2elist_2elist_27__01(c_27type_2estring_2echar_27__00)),V_27a_27))) != s__02(c_27type_2east_2eexp_27__00,c_27const_2east_2eFun_27__02(s__02(c_27type_2elist_2elist_27__01(c_27type_2estring_2echar_27__00),V_27a0_27),s__02(c_27type_2east_2eexp_27__00,V_27a1_27)))
& ! [V_27a1_27,V_27a0_27,V_27a_27] : s__02(c_27type_2east_2eexp_27__00,c_27const_2east_2eVar_27__01(s__02(c_27type_2enamespace_2eid_27__02(c_27type_2elist_2elist_27__01(c_27type_2estring_2echar_27__00),c_27type_2elist_2elist_27__01(c_27type_2estring_2echar_27__00)),V_27a_27))) != s__02(c_27type_2east_2eexp_27__00,c_27const_2east_2eApp_27__02(s__02(c_27type_2east_2eop_27__00,V_27a0_27),s__02(c_27type_2elist_2elist_27__01(c_27type_2east_2eexp_27__00),V_27a1_27)))
& ! [V_27a2_27,V_27a1_27,V_27a0_27,V_27a_27] : s__02(c_27type_2east_2eexp_27__00,c_27const_2east_2eVar_27__01(s__02(c_27type_2enamespace_2eid_27__02(c_27type_2elist_2elist_27__01(c_27type_2estring_2echar_27__00),c_27type_2elist_2elist_27__01(c_27type_2estring_2echar_27__00)),V_27a_27))) != s__02(c_27type_2east_2eexp_27__00,c_27const_2east_2eLog_27__03(s__02(c_27type_2east_2elop_27__00,V_27a0_27),s__02(c_27type_2east_2eexp_27__00,V_27a1_27),s__02(c_27type_2east_2eexp_27__00,V_27a2_27)))
& ! [V_27a2_27,V_27a1_27,V_27a0_27,V_27a_27] : s__02(c_27type_2east_2eexp_27__00,c_27const_2east_2eVar_27__01(s__02(c_27type_2enamespace_2eid_27__02(c_27type_2elist_2elist_27__01(c_27type_2estring_2echar_27__00),c_27type_2elist_2elist_27__01(c_27type_2estring_2echar_27__00)),V_27a_27))) != s__02(c_27type_2east_2eexp_27__00,c_27const_2east_2eIf_27__03(s__02(c_27type_2east_2eexp_27__00,V_27a0_27),s__02(c_27type_2east_2eexp_27__00,V_27a1_27),s__02(c_27type_2east_2eexp_27__00,V_27a2_27)))
& ! [V_27a1_27,V_27a0_27,V_27a_27] : s__02(c_27type_2east_2eexp_27__00,c_27const_2east_2eVar_27__01(s__02(c_27type_2enamespace_2eid_27__02(c_27type_2elist_2elist_27__01(c_27type_2estring_2echar_27__00),c_27type_2elist_2elist_27__01(c_27type_2estring_2echar_27__00)),V_27a_27))) != s__02(c_27type_2east_2eexp_27__00,c_27const_2east_2eMat_27__02(s__02(c_27type_2east_2eexp_27__00,V_27a0_27),s__02(c_27type_2elist_2elist_27__01(c_27type_2epair_2eprod_27__02(c_27type_2east_2epat_27__00,c_27type_2east_2eexp_27__00)),V_27a1_27)))
& ! [V_27a2_27,V_27a1_27,V_27a0_27,V_27a_27] : s__02(c_27type_2east_2eexp_27__00,c_27const_2east_2eVar_27__01(s__02(c_27type_2enamespace_2eid_27__02(c_27type_2elist_2elist_27__01(c_27type_2estring_2echar_27__00),c_27type_2elist_2elist_27__01(c_27type_2estring_2echar_27__00)),V_27a_27))) != s__02(c_27type_2east_2eexp_27__00,c_27const_2east_2eLet_27__03(s__02(c_27type_2eoption_2eoption_27__01(c_27type_2elist_2elist_27__01(c_27type_2estring_2echar_27__00)),V_27a0_27),s__02(c_27type_2east_2eexp_27__00,V_27a1_27),s__02(c_27type_2east_2eexp_27__00,V_27a2_27)))
& ! [V_27a1_27,V_27a0_27,V_27a_27] : s__02(c_27type_2east_2eexp_27__00,c_27const_2east_2eVar_27__01(s__02(c_27type_2enamespace_2eid_27__02(c_27type_2elist_2elist_27__01(c_27type_2estring_2echar_27__00),c_27type_2elist_2elist_27__01(c_27type_2estring_2echar_27__00)),V_27a_27))) != s__02(c_27type_2east_2eexp_27__00,c_27const_2east_2eLetrec_27__02(s__02(c_27type_2elist_2elist_27__01(c_27type_2epair_2eprod_27__02(c_27type_2elist_2elist_27__01(c_27type_2estring_2echar_27__00),c_27type_2epair_2eprod_27__02(c_27type_2elist_2elist_27__01(c_27type_2estring_2echar_27__00),c_27type_2east_2eexp_27__00))),V_27a0_27),s__02(c_27type_2east_2eexp_27__00,V_27a1_27)))
& ! [V_27a1_27,V_27a0_27,V_27a_27] : s__02(c_27type_2east_2eexp_27__00,c_27const_2east_2eVar_27__01(s__02(c_27type_2enamespace_2eid_27__02(c_27type_2elist_2elist_27__01(c_27type_2estring_2echar_27__00),c_27type_2elist_2elist_27__01(c_27type_2estring_2echar_27__00)),V_27a_27))) != s__02(c_27type_2east_2eexp_27__00,c_27const_2east_2eTannot_27__02(s__02(c_27type_2east_2eexp_27__00,V_27a0_27),s__02(c_27type_2east_2et_27__00,V_27a1_27)))
& ! [V_27a1_27,V_27a0_27,V_27a_27] : s__02(c_27type_2east_2eexp_27__00,c_27const_2east_2eVar_27__01(s__02(c_27type_2enamespace_2eid_27__02(c_27type_2elist_2elist_27__01(c_27type_2estring_2echar_27__00),c_27type_2elist_2elist_27__01(c_27type_2estring_2echar_27__00)),V_27a_27))) != s__02(c_27type_2east_2eexp_27__00,c_27const_2east_2eLannot_27__02(s__02(c_27type_2east_2eexp_27__00,V_27a0_27),s__02(c_27type_2elocation_2elocs_27__00,V_27a1_27)))
& ! [V_27a1_7c39_7c_27,V_27a1_27,V_27a0_7c39_7c_27,V_27a0_27] : s__02(c_27type_2east_2eexp_27__00,c_27const_2east_2eFun_27__02(s__02(c_27type_2elist_2elist_27__01(c_27type_2estring_2echar_27__00),V_27a0_27),s__02(c_27type_2east_2eexp_27__00,V_27a1_27))) != s__02(c_27type_2east_2eexp_27__00,c_27const_2east_2eApp_27__02(s__02(c_27type_2east_2eop_27__00,V_27a0_7c39_7c_27),s__02(c_27type_2elist_2elist_27__01(c_27type_2east_2eexp_27__00),V_27a1_7c39_7c_27)))
& ! [V_27a2_27,V_27a1_7c39_7c_27,V_27a1_27,V_27a0_7c39_7c_27,V_27a0_27] : s__02(c_27type_2east_2eexp_27__00,c_27const_2east_2eFun_27__02(s__02(c_27type_2elist_2elist_27__01(c_27type_2estring_2echar_27__00),V_27a0_27),s__02(c_27type_2east_2eexp_27__00,V_27a1_27))) != s__02(c_27type_2east_2eexp_27__00,c_27const_2east_2eLog_27__03(s__02(c_27type_2east_2elop_27__00,V_27a0_7c39_7c_27),s__02(c_27type_2east_2eexp_27__00,V_27a1_7c39_7c_27),s__02(c_27type_2east_2eexp_27__00,V_27a2_27)))
& ! [V_27a2_27,V_27a1_7c39_7c_27,V_27a1_27,V_27a0_7c39_7c_27,V_27a0_27] : s__02(c_27type_2east_2eexp_27__00,c_27const_2east_2eFun_27__02(s__02(c_27type_2elist_2elist_27__01(c_27type_2estring_2echar_27__00),V_27a0_27),s__02(c_27type_2east_2eexp_27__00,V_27a1_27))) != s__02(c_27type_2east_2eexp_27__00,c_27const_2east_2eIf_27__03(s__02(c_27type_2east_2eexp_27__00,V_27a0_7c39_7c_27),s__02(c_27type_2east_2eexp_27__00,V_27a1_7c39_7c_27),s__02(c_27type_2east_2eexp_27__00,V_27a2_27)))
& ! [V_27a1_7c39_7c_27,V_27a1_27,V_27a0_7c39_7c_27,V_27a0_27] : s__02(c_27type_2east_2eexp_27__00,c_27const_2east_2eFun_27__02(s__02(c_27type_2elist_2elist_27__01(c_27type_2estring_2echar_27__00),V_27a0_27),s__02(c_27type_2east_2eexp_27__00,V_27a1_27))) != s__02(c_27type_2east_2eexp_27__00,c_27const_2east_2eMat_27__02(s__02(c_27type_2east_2eexp_27__00,V_27a0_7c39_7c_27),s__02(c_27type_2elist_2elist_27__01(c_27type_2epair_2eprod_27__02(c_27type_2east_2epat_27__00,c_27type_2east_2eexp_27__00)),V_27a1_7c39_7c_27)))
& ! [V_27a2_27,V_27a1_7c39_7c_27,V_27a1_27,V_27a0_7c39_7c_27,V_27a0_27] : s__02(c_27type_2east_2eexp_27__00,c_27const_2east_2eFun_27__02(s__02(c_27type_2elist_2elist_27__01(c_27type_2estring_2echar_27__00),V_27a0_27),s__02(c_27type_2east_2eexp_27__00,V_27a1_27))) != s__02(c_27type_2east_2eexp_27__00,c_27const_2east_2eLet_27__03(s__02(c_27type_2eoption_2eoption_27__01(c_27type_2elist_2elist_27__01(c_27type_2estring_2echar_27__00)),V_27a0_7c39_7c_27),s__02(c_27type_2east_2eexp_27__00,V_27a1_7c39_7c_27),s__02(c_27type_2east_2eexp_27__00,V_27a2_27)))
& ! [V_27a1_7c39_7c_27,V_27a1_27,V_27a0_7c39_7c_27,V_27a0_27] : s__02(c_27type_2east_2eexp_27__00,c_27const_2east_2eFun_27__02(s__02(c_27type_2elist_2elist_27__01(c_27type_2estring_2echar_27__00),V_27a0_27),s__02(c_27type_2east_2eexp_27__00,V_27a1_27))) != s__02(c_27type_2east_2eexp_27__00,c_27const_2east_2eLetrec_27__02(s__02(c_27type_2elist_2elist_27__01(c_27type_2epair_2eprod_27__02(c_27type_2elist_2elist_27__01(c_27type_2estring_2echar_27__00),c_27type_2epair_2eprod_27__02(c_27type_2elist_2elist_27__01(c_27type_2estring_2echar_27__00),c_27type_2east_2eexp_27__00))),V_27a0_7c39_7c_27),s__02(c_27type_2east_2eexp_27__00,V_27a1_7c39_7c_27)))
& ! [V_27a1_7c39_7c_27,V_27a1_27,V_27a0_7c39_7c_27,V_27a0_27] : s__02(c_27type_2east_2eexp_27__00,c_27const_2east_2eFun_27__02(s__02(c_27type_2elist_2elist_27__01(c_27type_2estring_2echar_27__00),V_27a0_27),s__02(c_27type_2east_2eexp_27__00,V_27a1_27))) != s__02(c_27type_2east_2eexp_27__00,c_27const_2east_2eTannot_27__02(s__02(c_27type_2east_2eexp_27__00,V_27a0_7c39_7c_27),s__02(c_27type_2east_2et_27__00,V_27a1_7c39_7c_27)))
& ! [V_27a1_7c39_7c_27,V_27a1_27,V_27a0_7c39_7c_27,V_27a0_27] : s__02(c_27type_2east_2eexp_27__00,c_27const_2east_2eFun_27__02(s__02(c_27type_2elist_2elist_27__01(c_27type_2estring_2echar_27__00),V_27a0_27),s__02(c_27type_2east_2eexp_27__00,V_27a1_27))) != s__02(c_27type_2east_2eexp_27__00,c_27const_2east_2eLannot_27__02(s__02(c_27type_2east_2eexp_27__00,V_27a0_7c39_7c_27),s__02(c_27type_2elocation_2elocs_27__00,V_27a1_7c39_7c_27)))
& ! [V_27a2_27,V_27a1_7c39_7c_27,V_27a1_27,V_27a0_7c39_7c_27,V_27a0_27] : s__02(c_27type_2east_2eexp_27__00,c_27const_2east_2eApp_27__02(s__02(c_27type_2east_2eop_27__00,V_27a0_27),s__02(c_27type_2elist_2elist_27__01(c_27type_2east_2eexp_27__00),V_27a1_27))) != s__02(c_27type_2east_2eexp_27__00,c_27const_2east_2eLog_27__03(s__02(c_27type_2east_2elop_27__00,V_27a0_7c39_7c_27),s__02(c_27type_2east_2eexp_27__00,V_27a1_7c39_7c_27),s__02(c_27type_2east_2eexp_27__00,V_27a2_27)))
& ! [V_27a2_27,V_27a1_7c39_7c_27,V_27a1_27,V_27a0_7c39_7c_27,V_27a0_27] : s__02(c_27type_2east_2eexp_27__00,c_27const_2east_2eApp_27__02(s__02(c_27type_2east_2eop_27__00,V_27a0_27),s__02(c_27type_2elist_2elist_27__01(c_27type_2east_2eexp_27__00),V_27a1_27))) != s__02(c_27type_2east_2eexp_27__00,c_27const_2east_2eIf_27__03(s__02(c_27type_2east_2eexp_27__00,V_27a0_7c39_7c_27),s__02(c_27type_2east_2eexp_27__00,V_27a1_7c39_7c_27),s__02(c_27type_2east_2eexp_27__00,V_27a2_27)))
& ! [V_27a1_7c39_7c_27,V_27a1_27,V_27a0_7c39_7c_27,V_27a0_27] : s__02(c_27type_2east_2eexp_27__00,c_27const_2east_2eApp_27__02(s__02(c_27type_2east_2eop_27__00,V_27a0_27),s__02(c_27type_2elist_2elist_27__01(c_27type_2east_2eexp_27__00),V_27a1_27))) != s__02(c_27type_2east_2eexp_27__00,c_27const_2east_2eMat_27__02(s__02(c_27type_2east_2eexp_27__00,V_27a0_7c39_7c_27),s__02(c_27type_2elist_2elist_27__01(c_27type_2epair_2eprod_27__02(c_27type_2east_2epat_27__00,c_27type_2east_2eexp_27__00)),V_27a1_7c39_7c_27)))
& ! [V_27a2_27,V_27a1_7c39_7c_27,V_27a1_27,V_27a0_7c39_7c_27,V_27a0_27] : s__02(c_27type_2east_2eexp_27__00,c_27const_2east_2eApp_27__02(s__02(c_27type_2east_2eop_27__00,V_27a0_27),s__02(c_27type_2elist_2elist_27__01(c_27type_2east_2eexp_27__00),V_27a1_27))) != s__02(c_27type_2east_2eexp_27__00,c_27const_2east_2eLet_27__03(s__02(c_27type_2eoption_2eoption_27__01(c_27type_2elist_2elist_27__01(c_27type_2estring_2echar_27__00)),V_27a0_7c39_7c_27),s__02(c_27type_2east_2eexp_27__00,V_27a1_7c39_7c_27),s__02(c_27type_2east_2eexp_27__00,V_27a2_27)))
& ! [V_27a1_7c39_7c_27,V_27a1_27,V_27a0_7c39_7c_27,V_27a0_27] : s__02(c_27type_2east_2eexp_27__00,c_27const_2east_2eApp_27__02(s__02(c_27type_2east_2eop_27__00,V_27a0_27),s__02(c_27type_2elist_2elist_27__01(c_27type_2east_2eexp_27__00),V_27a1_27))) != s__02(c_27type_2east_2eexp_27__00,c_27const_2east_2eLetrec_27__02(s__02(c_27type_2elist_2elist_27__01(c_27type_2epair_2eprod_27__02(c_27type_2elist_2elist_27__01(c_27type_2estring_2echar_27__00),c_27type_2epair_2eprod_27__02(c_27type_2elist_2elist_27__01(c_27type_2estring_2echar_27__00),c_27type_2east_2eexp_27__00))),V_27a0_7c39_7c_27),s__02(c_27type_2east_2eexp_27__00,V_27a1_7c39_7c_27)))
& ! [V_27a1_7c39_7c_27,V_27a1_27,V_27a0_7c39_7c_27,V_27a0_27] : s__02(c_27type_2east_2eexp_27__00,c_27const_2east_2eApp_27__02(s__02(c_27type_2east_2eop_27__00,V_27a0_27),s__02(c_27type_2elist_2elist_27__01(c_27type_2east_2eexp_27__00),V_27a1_27))) != s__02(c_27type_2east_2eexp_27__00,c_27const_2east_2eTannot_27__02(s__02(c_27type_2east_2eexp_27__00,V_27a0_7c39_7c_27),s__02(c_27type_2east_2et_27__00,V_27a1_7c39_7c_27)))
& ! [V_27a1_7c39_7c_27,V_27a1_27,V_27a0_7c39_7c_27,V_27a0_27] : s__02(c_27type_2east_2eexp_27__00,c_27const_2east_2eApp_27__02(s__02(c_27type_2east_2eop_27__00,V_27a0_27),s__02(c_27type_2elist_2elist_27__01(c_27type_2east_2eexp_27__00),V_27a1_27))) != s__02(c_27type_2east_2eexp_27__00,c_27const_2east_2eLannot_27__02(s__02(c_27type_2east_2eexp_27__00,V_27a0_7c39_7c_27),s__02(c_27type_2elocation_2elocs_27__00,V_27a1_7c39_7c_27)))
& ! [V_27a2_7c39_7c_27,V_27a2_27,V_27a1_7c39_7c_27,V_27a1_27,V_27a0_7c39_7c_27,V_27a0_27] : s__02(c_27type_2east_2eexp_27__00,c_27const_2east_2eLog_27__03(s__02(c_27type_2east_2elop_27__00,V_27a0_27),s__02(c_27type_2east_2eexp_27__00,V_27a1_27),s__02(c_27type_2east_2eexp_27__00,V_27a2_27))) != s__02(c_27type_2east_2eexp_27__00,c_27const_2east_2eIf_27__03(s__02(c_27type_2east_2eexp_27__00,V_27a0_7c39_7c_27),s__02(c_27type_2east_2eexp_27__00,V_27a1_7c39_7c_27),s__02(c_27type_2east_2eexp_27__00,V_27a2_7c39_7c_27)))
& ! [V_27a2_27,V_27a1_7c39_7c_27,V_27a1_27,V_27a0_7c39_7c_27,V_27a0_27] : s__02(c_27type_2east_2eexp_27__00,c_27const_2east_2eLog_27__03(s__02(c_27type_2east_2elop_27__00,V_27a0_27),s__02(c_27type_2east_2eexp_27__00,V_27a1_27),s__02(c_27type_2east_2eexp_27__00,V_27a2_27))) != s__02(c_27type_2east_2eexp_27__00,c_27const_2east_2eMat_27__02(s__02(c_27type_2east_2eexp_27__00,V_27a0_7c39_7c_27),s__02(c_27type_2elist_2elist_27__01(c_27type_2epair_2eprod_27__02(c_27type_2east_2epat_27__00,c_27type_2east_2eexp_27__00)),V_27a1_7c39_7c_27)))
& ! [V_27a2_7c39_7c_27,V_27a2_27,V_27a1_7c39_7c_27,V_27a1_27,V_27a0_7c39_7c_27,V_27a0_27] : s__02(c_27type_2east_2eexp_27__00,c_27const_2east_2eLog_27__03(s__02(c_27type_2east_2elop_27__00,V_27a0_27),s__02(c_27type_2east_2eexp_27__00,V_27a1_27),s__02(c_27type_2east_2eexp_27__00,V_27a2_27))) != s__02(c_27type_2east_2eexp_27__00,c_27const_2east_2eLet_27__03(s__02(c_27type_2eoption_2eoption_27__01(c_27type_2elist_2elist_27__01(c_27type_2estring_2echar_27__00)),V_27a0_7c39_7c_27),s__02(c_27type_2east_2eexp_27__00,V_27a1_7c39_7c_27),s__02(c_27type_2east_2eexp_27__00,V_27a2_7c39_7c_27)))
& ! [V_27a2_27,V_27a1_7c39_7c_27,V_27a1_27,V_27a0_7c39_7c_27,V_27a0_27] : s__02(c_27type_2east_2eexp_27__00,c_27const_2east_2eLog_27__03(s__02(c_27type_2east_2elop_27__00,V_27a0_27),s__02(c_27type_2east_2eexp_27__00,V_27a1_27),s__02(c_27type_2east_2eexp_27__00,V_27a2_27))) != s__02(c_27type_2east_2eexp_27__00,c_27const_2east_2eLetrec_27__02(s__02(c_27type_2elist_2elist_27__01(c_27type_2epair_2eprod_27__02(c_27type_2elist_2elist_27__01(c_27type_2estring_2echar_27__00),c_27type_2epair_2eprod_27__02(c_27type_2elist_2elist_27__01(c_27type_2estring_2echar_27__00),c_27type_2east_2eexp_27__00))),V_27a0_7c39_7c_27),s__02(c_27type_2east_2eexp_27__00,V_27a1_7c39_7c_27)))
& ! [V_27a2_27,V_27a1_7c39_7c_27,V_27a1_27,V_27a0_7c39_7c_27,V_27a0_27] : s__02(c_27type_2east_2eexp_27__00,c_27const_2east_2eLog_27__03(s__02(c_27type_2east_2elop_27__00,V_27a0_27),s__02(c_27type_2east_2eexp_27__00,V_27a1_27),s__02(c_27type_2east_2eexp_27__00,V_27a2_27))) != s__02(c_27type_2east_2eexp_27__00,c_27const_2east_2eTannot_27__02(s__02(c_27type_2east_2eexp_27__00,V_27a0_7c39_7c_27),s__02(c_27type_2east_2et_27__00,V_27a1_7c39_7c_27)))
& ! [V_27a2_27,V_27a1_7c39_7c_27,V_27a1_27,V_27a0_7c39_7c_27,V_27a0_27] : s__02(c_27type_2east_2eexp_27__00,c_27const_2east_2eLog_27__03(s__02(c_27type_2east_2elop_27__00,V_27a0_27),s__02(c_27type_2east_2eexp_27__00,V_27a1_27),s__02(c_27type_2east_2eexp_27__00,V_27a2_27))) != s__02(c_27type_2east_2eexp_27__00,c_27const_2east_2eLannot_27__02(s__02(c_27type_2east_2eexp_27__00,V_27a0_7c39_7c_27),s__02(c_27type_2elocation_2elocs_27__00,V_27a1_7c39_7c_27)))
& ! [V_27a2_27,V_27a1_7c39_7c_27,V_27a1_27,V_27a0_7c39_7c_27,V_27a0_27] : s__02(c_27type_2east_2eexp_27__00,c_27const_2east_2eIf_27__03(s__02(c_27type_2east_2eexp_27__00,V_27a0_27),s__02(c_27type_2east_2eexp_27__00,V_27a1_27),s__02(c_27type_2east_2eexp_27__00,V_27a2_27))) != s__02(c_27type_2east_2eexp_27__00,c_27const_2east_2eMat_27__02(s__02(c_27type_2east_2eexp_27__00,V_27a0_7c39_7c_27),s__02(c_27type_2elist_2elist_27__01(c_27type_2epair_2eprod_27__02(c_27type_2east_2epat_27__00,c_27type_2east_2eexp_27__00)),V_27a1_7c39_7c_27)))
& ! [V_27a2_7c39_7c_27,V_27a2_27,V_27a1_7c39_7c_27,V_27a1_27,V_27a0_7c39_7c_27,V_27a0_27] : s__02(c_27type_2east_2eexp_27__00,c_27const_2east_2eIf_27__03(s__02(c_27type_2east_2eexp_27__00,V_27a0_27),s__02(c_27type_2east_2eexp_27__00,V_27a1_27),s__02(c_27type_2east_2eexp_27__00,V_27a2_27))) != s__02(c_27type_2east_2eexp_27__00,c_27const_2east_2eLet_27__03(s__02(c_27type_2eoption_2eoption_27__01(c_27type_2elist_2elist_27__01(c_27type_2estring_2echar_27__00)),V_27a0_7c39_7c_27),s__02(c_27type_2east_2eexp_27__00,V_27a1_7c39_7c_27),s__02(c_27type_2east_2eexp_27__00,V_27a2_7c39_7c_27)))
& ! [V_27a2_27,V_27a1_7c39_7c_27,V_27a1_27,V_27a0_7c39_7c_27,V_27a0_27] : s__02(c_27type_2east_2eexp_27__00,c_27const_2east_2eIf_27__03(s__02(c_27type_2east_2eexp_27__00,V_27a0_27),s__02(c_27type_2east_2eexp_27__00,V_27a1_27),s__02(c_27type_2east_2eexp_27__00,V_27a2_27))) != s__02(c_27type_2east_2eexp_27__00,c_27const_2east_2eLetrec_27__02(s__02(c_27type_2elist_2elist_27__01(c_27type_2epair_2eprod_27__02(c_27type_2elist_2elist_27__01(c_27type_2estring_2echar_27__00),c_27type_2epair_2eprod_27__02(c_27type_2elist_2elist_27__01(c_27type_2estring_2echar_27__00),c_27type_2east_2eexp_27__00))),V_27a0_7c39_7c_27),s__02(c_27type_2east_2eexp_27__00,V_27a1_7c39_7c_27)))
& ! [V_27a2_27,V_27a1_7c39_7c_27,V_27a1_27,V_27a0_7c39_7c_27,V_27a0_27] : s__02(c_27type_2east_2eexp_27__00,c_27const_2east_2eIf_27__03(s__02(c_27type_2east_2eexp_27__00,V_27a0_27),s__02(c_27type_2east_2eexp_27__00,V_27a1_27),s__02(c_27type_2east_2eexp_27__00,V_27a2_27))) != s__02(c_27type_2east_2eexp_27__00,c_27const_2east_2eTannot_27__02(s__02(c_27type_2east_2eexp_27__00,V_27a0_7c39_7c_27),s__02(c_27type_2east_2et_27__00,V_27a1_7c39_7c_27)))
& ! [V_27a2_27,V_27a1_7c39_7c_27,V_27a1_27,V_27a0_7c39_7c_27,V_27a0_27] : s__02(c_27type_2east_2eexp_27__00,c_27const_2east_2eIf_27__03(s__02(c_27type_2east_2eexp_27__00,V_27a0_27),s__02(c_27type_2east_2eexp_27__00,V_27a1_27),s__02(c_27type_2east_2eexp_27__00,V_27a2_27))) != s__02(c_27type_2east_2eexp_27__00,c_27const_2east_2eLannot_27__02(s__02(c_27type_2east_2eexp_27__00,V_27a0_7c39_7c_27),s__02(c_27type_2elocation_2elocs_27__00,V_27a1_7c39_7c_27)))
& ! [V_27a2_27,V_27a1_7c39_7c_27,V_27a1_27,V_27a0_7c39_7c_27,V_27a0_27] : s__02(c_27type_2east_2eexp_27__00,c_27const_2east_2eMat_27__02(s__02(c_27type_2east_2eexp_27__00,V_27a0_27),s__02(c_27type_2elist_2elist_27__01(c_27type_2epair_2eprod_27__02(c_27type_2east_2epat_27__00,c_27type_2east_2eexp_27__00)),V_27a1_27))) != s__02(c_27type_2east_2eexp_27__00,c_27const_2east_2eLet_27__03(s__02(c_27type_2eoption_2eoption_27__01(c_27type_2elist_2elist_27__01(c_27type_2estring_2echar_27__00)),V_27a0_7c39_7c_27),s__02(c_27type_2east_2eexp_27__00,V_27a1_7c39_7c_27),s__02(c_27type_2east_2eexp_27__00,V_27a2_27)))
& ! [V_27a1_7c39_7c_27,V_27a1_27,V_27a0_7c39_7c_27,V_27a0_27] : s__02(c_27type_2east_2eexp_27__00,c_27const_2east_2eMat_27__02(s__02(c_27type_2east_2eexp_27__00,V_27a0_27),s__02(c_27type_2elist_2elist_27__01(c_27type_2epair_2eprod_27__02(c_27type_2east_2epat_27__00,c_27type_2east_2eexp_27__00)),V_27a1_27))) != s__02(c_27type_2east_2eexp_27__00,c_27const_2east_2eLetrec_27__02(s__02(c_27type_2elist_2elist_27__01(c_27type_2epair_2eprod_27__02(c_27type_2elist_2elist_27__01(c_27type_2estring_2echar_27__00),c_27type_2epair_2eprod_27__02(c_27type_2elist_2elist_27__01(c_27type_2estring_2echar_27__00),c_27type_2east_2eexp_27__00))),V_27a0_7c39_7c_27),s__02(c_27type_2east_2eexp_27__00,V_27a1_7c39_7c_27)))
& ! [V_27a1_7c39_7c_27,V_27a1_27,V_27a0_7c39_7c_27,V_27a0_27] : s__02(c_27type_2east_2eexp_27__00,c_27const_2east_2eMat_27__02(s__02(c_27type_2east_2eexp_27__00,V_27a0_27),s__02(c_27type_2elist_2elist_27__01(c_27type_2epair_2eprod_27__02(c_27type_2east_2epat_27__00,c_27type_2east_2eexp_27__00)),V_27a1_27))) != s__02(c_27type_2east_2eexp_27__00,c_27const_2east_2eTannot_27__02(s__02(c_27type_2east_2eexp_27__00,V_27a0_7c39_7c_27),s__02(c_27type_2east_2et_27__00,V_27a1_7c39_7c_27)))
& ! [V_27a1_7c39_7c_27,V_27a1_27,V_27a0_7c39_7c_27,V_27a0_27] : s__02(c_27type_2east_2eexp_27__00,c_27const_2east_2eMat_27__02(s__02(c_27type_2east_2eexp_27__00,V_27a0_27),s__02(c_27type_2elist_2elist_27__01(c_27type_2epair_2eprod_27__02(c_27type_2east_2epat_27__00,c_27type_2east_2eexp_27__00)),V_27a1_27))) != s__02(c_27type_2east_2eexp_27__00,c_27const_2east_2eLannot_27__02(s__02(c_27type_2east_2eexp_27__00,V_27a0_7c39_7c_27),s__02(c_27type_2elocation_2elocs_27__00,V_27a1_7c39_7c_27)))
& ! [V_27a2_27,V_27a1_7c39_7c_27,V_27a1_27,V_27a0_7c39_7c_27,V_27a0_27] : s__02(c_27type_2east_2eexp_27__00,c_27const_2east_2eLet_27__03(s__02(c_27type_2eoption_2eoption_27__01(c_27type_2elist_2elist_27__01(c_27type_2estring_2echar_27__00)),V_27a0_27),s__02(c_27type_2east_2eexp_27__00,V_27a1_27),s__02(c_27type_2east_2eexp_27__00,V_27a2_27))) != s__02(c_27type_2east_2eexp_27__00,c_27const_2east_2eLetrec_27__02(s__02(c_27type_2elist_2elist_27__01(c_27type_2epair_2eprod_27__02(c_27type_2elist_2elist_27__01(c_27type_2estring_2echar_27__00),c_27type_2epair_2eprod_27__02(c_27type_2elist_2elist_27__01(c_27type_2estring_2echar_27__00),c_27type_2east_2eexp_27__00))),V_27a0_7c39_7c_27),s__02(c_27type_2east_2eexp_27__00,V_27a1_7c39_7c_27)))
& ! [V_27a2_27,V_27a1_7c39_7c_27,V_27a1_27,V_27a0_7c39_7c_27,V_27a0_27] : s__02(c_27type_2east_2eexp_27__00,c_27const_2east_2eLet_27__03(s__02(c_27type_2eoption_2eoption_27__01(c_27type_2elist_2elist_27__01(c_27type_2estring_2echar_27__00)),V_27a0_27),s__02(c_27type_2east_2eexp_27__00,V_27a1_27),s__02(c_27type_2east_2eexp_27__00,V_27a2_27))) != s__02(c_27type_2east_2eexp_27__00,c_27const_2east_2eTannot_27__02(s__02(c_27type_2east_2eexp_27__00,V_27a0_7c39_7c_27),s__02(c_27type_2east_2et_27__00,V_27a1_7c39_7c_27)))
& ! [V_27a2_27,V_27a1_7c39_7c_27,V_27a1_27,V_27a0_7c39_7c_27,V_27a0_27] : s__02(c_27type_2east_2eexp_27__00,c_27const_2east_2eLet_27__03(s__02(c_27type_2eoption_2eoption_27__01(c_27type_2elist_2elist_27__01(c_27type_2estring_2echar_27__00)),V_27a0_27),s__02(c_27type_2east_2eexp_27__00,V_27a1_27),s__02(c_27type_2east_2eexp_27__00,V_27a2_27))) != s__02(c_27type_2east_2eexp_27__00,c_27const_2east_2eLannot_27__02(s__02(c_27type_2east_2eexp_27__00,V_27a0_7c39_7c_27),s__02(c_27type_2elocation_2elocs_27__00,V_27a1_7c39_7c_27)))
& ! [V_27a1_7c39_7c_27,V_27a1_27,V_27a0_7c39_7c_27,V_27a0_27] : s__02(c_27type_2east_2eexp_27__00,c_27const_2east_2eLetrec_27__02(s__02(c_27type_2elist_2elist_27__01(c_27type_2epair_2eprod_27__02(c_27type_2elist_2elist_27__01(c_27type_2estring_2echar_27__00),c_27type_2epair_2eprod_27__02(c_27type_2elist_2elist_27__01(c_27type_2estring_2echar_27__00),c_27type_2east_2eexp_27__00))),V_27a0_27),s__02(c_27type_2east_2eexp_27__00,V_27a1_27))) != s__02(c_27type_2east_2eexp_27__00,c_27const_2east_2eTannot_27__02(s__02(c_27type_2east_2eexp_27__00,V_27a0_7c39_7c_27),s__02(c_27type_2east_2et_27__00,V_27a1_7c39_7c_27)))
& ! [V_27a1_7c39_7c_27,V_27a1_27,V_27a0_7c39_7c_27,V_27a0_27] : s__02(c_27type_2east_2eexp_27__00,c_27const_2east_2eLetrec_27__02(s__02(c_27type_2elist_2elist_27__01(c_27type_2epair_2eprod_27__02(c_27type_2elist_2elist_27__01(c_27type_2estring_2echar_27__00),c_27type_2epair_2eprod_27__02(c_27type_2elist_2elist_27__01(c_27type_2estring_2echar_27__00),c_27type_2east_2eexp_27__00))),V_27a0_27),s__02(c_27type_2east_2eexp_27__00,V_27a1_27))) != s__02(c_27type_2east_2eexp_27__00,c_27const_2east_2eLannot_27__02(s__02(c_27type_2east_2eexp_27__00,V_27a0_7c39_7c_27),s__02(c_27type_2elocation_2elocs_27__00,V_27a1_7c39_7c_27)))
& ! [V_27a1_7c39_7c_27,V_27a1_27,V_27a0_7c39_7c_27,V_27a0_27] : s__02(c_27type_2east_2eexp_27__00,c_27const_2east_2eTannot_27__02(s__02(c_27type_2east_2eexp_27__00,V_27a0_27),s__02(c_27type_2east_2et_27__00,V_27a1_27))) != s__02(c_27type_2east_2eexp_27__00,c_27const_2east_2eLannot_27__02(s__02(c_27type_2east_2eexp_27__00,V_27a0_7c39_7c_27),s__02(c_27type_2elocation_2elocs_27__00,V_27a1_7c39_7c_27))) ) ).
fof('thm.semanticPrimitives.error_result_11',axiom,
! [V_27A_27] :
( ! [V_27a_27,V_27a_7c39_7c_27] :
( s__02(c_27type_2esemanticPrimitives_2eerror__result_27__01(V_27A_27),c_27const_2esemanticPrimitives_2eRraise_27__01(s__02(V_27A_27,V_27a_27))) = s__02(c_27type_2esemanticPrimitives_2eerror__result_27__01(V_27A_27),c_27const_2esemanticPrimitives_2eRraise_27__01(s__02(V_27A_27,V_27a_7c39_7c_27)))
<=> s__02(V_27A_27,V_27a_27) = s__02(V_27A_27,V_27a_7c39_7c_27) )
& ! [V_27a_27,V_27a_7c39_7c_27] :
( s__02(c_27type_2esemanticPrimitives_2eerror__result_27__01(V_27A_27),c_27const_2esemanticPrimitives_2eRabort_27__01(s__02(c_27type_2esemanticPrimitives_2eabort_27__00,V_27a_27))) = s__02(c_27type_2esemanticPrimitives_2eerror__result_27__01(V_27A_27),c_27const_2esemanticPrimitives_2eRabort_27__01(s__02(c_27type_2esemanticPrimitives_2eabort_27__00,V_27a_7c39_7c_27)))
<=> s__02(c_27type_2esemanticPrimitives_2eabort_27__00,V_27a_27) = s__02(c_27type_2esemanticPrimitives_2eabort_27__00,V_27a_7c39_7c_27) ) ) ).
fof('thm.semanticPrimitives.error_result_distinct',axiom,
! [V_27A_27,V_27a_7c39_7c_27,V_27a_27] : s__02(c_27type_2esemanticPrimitives_2eerror__result_27__01(V_27A_27),c_27const_2esemanticPrimitives_2eRraise_27__01(s__02(V_27A_27,V_27a_27))) != s__02(c_27type_2esemanticPrimitives_2eerror__result_27__01(V_27A_27),c_27const_2esemanticPrimitives_2eRabort_27__01(s__02(c_27type_2esemanticPrimitives_2eabort_27__00,V_27a_7c39_7c_27))) ).
fof('thm.semanticPrimitives.result_11',axiom,
! [V_27A_27,V_27B_27] :
( ! [V_27a_27,V_27a_7c39_7c_27] :
( s__02(c_27type_2esemanticPrimitives_2eresult_27__02(V_27A_27,V_27B_27),c_27const_2esemanticPrimitives_2eRval_27__01(s__02(V_27A_27,V_27a_27))) = s__02(c_27type_2esemanticPrimitives_2eresult_27__02(V_27A_27,V_27B_27),c_27const_2esemanticPrimitives_2eRval_27__01(s__02(V_27A_27,V_27a_7c39_7c_27)))
<=> s__02(V_27A_27,V_27a_27) = s__02(V_27A_27,V_27a_7c39_7c_27) )
& ! [V_27a_27,V_27a_7c39_7c_27] :
( s__02(c_27type_2esemanticPrimitives_2eresult_27__02(V_27A_27,V_27B_27),c_27const_2esemanticPrimitives_2eRerr_27__01(s__02(c_27type_2esemanticPrimitives_2eerror__result_27__01(V_27B_27),V_27a_27))) = s__02(c_27type_2esemanticPrimitives_2eresult_27__02(V_27A_27,V_27B_27),c_27const_2esemanticPrimitives_2eRerr_27__01(s__02(c_27type_2esemanticPrimitives_2eerror__result_27__01(V_27B_27),V_27a_7c39_7c_27)))
<=> s__02(c_27type_2esemanticPrimitives_2eerror__result_27__01(V_27B_27),V_27a_27) = s__02(c_27type_2esemanticPrimitives_2eerror__result_27__01(V_27B_27),V_27a_7c39_7c_27) ) ) ).
fof('thm.semanticPrimitives.result_distinct',axiom,
! [V_27A_27,V_27B_27,V_27a_7c39_7c_27,V_27a_27] : s__02(c_27type_2esemanticPrimitives_2eresult_27__02(V_27A_27,V_27B_27),c_27const_2esemanticPrimitives_2eRval_27__01(s__02(V_27A_27,V_27a_27))) != s__02(c_27type_2esemanticPrimitives_2eresult_27__02(V_27A_27,V_27B_27),c_27const_2esemanticPrimitives_2eRerr_27__01(s__02(c_27type_2esemanticPrimitives_2eerror__result_27__01(V_27B_27),V_27a_7c39_7c_27))) ).
fof(conjecture,conjecture,
! [V_27A_27,V_27cons__names_27,V_27exp1_27,V_27ename_27,V_27res_27,V_27s_27,V_27s2_27,V_27env_27] :
( p__01(s__02(cbool__00,c_27const_2ebigStep_2eevaluate_27__05(s__02(cbool__00,cF__00),s__02(c_27type_2esemanticPrimitives_2esem__env_27__01(c_27type_2esemanticPrimitives_2ev_27__00),V_27env_27),s__02(c_27type_2esemanticPrimitives_2estate_27__01(V_27A_27),V_27s_27),s__02(c_27type_2east_2eexp_27__00,V_27exp1_27),s__02(c_27type_2epair_2eprod_27__02(c_27type_2esemanticPrimitives_2estate_27__01(V_27A_27),c_27type_2esemanticPrimitives_2eresult_27__02(c_27type_2esemanticPrimitives_2ev_27__00,c_27type_2esemanticPrimitives_2ev_27__00)),c_27const_2epair_2e_2c_27__02(s__02(c_27type_2esemanticPrimitives_2estate_27__01(V_27A_27),V_27s2_27),s__02(c_27type_2esemanticPrimitives_2eresult_27__02(c_27type_2esemanticPrimitives_2ev_27__00,c_27type_2esemanticPrimitives_2ev_27__00),c_27const_2esemanticPrimitives_2eRerr_27__01(s__02(c_27type_2esemanticPrimitives_2eerror__result_27__01(c_27type_2esemanticPrimitives_2ev_27__00),c_27const_2esemanticPrimitives_2eRabort_27__01(s__02(c_27type_2esemanticPrimitives_2eabort_27__00,V_27res_27))))))))))
=> p__01(s__02(cbool__00,c_27const_2ebigStep_2eevaluate_27__05(s__02(cbool__00,cF__00),s__02(c_27type_2esemanticPrimitives_2esem__env_27__01(c_27type_2esemanticPrimitives_2ev_27__00),V_27env_27),s__02(c_27type_2esemanticPrimitives_2estate_27__01(V_27A_27),V_27s_27),s__02(c_27type_2east_2eexp_27__00,c_27const_2eml__monad__translator_2ehandle__mult_27__03(s__02(c_27type_2elist_2elist_27__01(c_27type_2elist_2elist_27__01(c_27type_2estring_2echar_27__00)),V_27cons__names_27),s__02(c_27type_2east_2eexp_27__00,V_27exp1_27),s__02(c_27type_2elist_2elist_27__01(c_27type_2estring_2echar_27__00),V_27ename_27))),s__02(c_27type_2epair_2eprod_27__02(c_27type_2esemanticPrimitives_2estate_27__01(V_27A_27),c_27type_2esemanticPrimitives_2eresult_27__02(c_27type_2esemanticPrimitives_2ev_27__00,c_27type_2esemanticPrimitives_2ev_27__00)),c_27const_2epair_2e_2c_27__02(s__02(c_27type_2esemanticPrimitives_2estate_27__01(V_27A_27),V_27s2_27),s__02(c_27type_2esemanticPrimitives_2eresult_27__02(c_27type_2esemanticPrimitives_2ev_27__00,c_27type_2esemanticPrimitives_2ev_27__00),c_27const_2esemanticPrimitives_2eRerr_27__01(s__02(c_27type_2esemanticPrimitives_2eerror__result_27__01(c_27type_2esemanticPrimitives_2ev_27__00),c_27const_2esemanticPrimitives_2eRabort_27__01(s__02(c_27type_2esemanticPrimitives_2eabort_27__00,V_27res_27)))))))))) ) ).
%------------------------------------------------------------------------------