TPTP Problem File: SWW873+1.p
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%------------------------------------------------------------------------------
% File : SWW873+1 : TPTP v9.0.0. Released v7.3.0.
% Domain : Software Verification
% Problem : ml_prog__42__ML_code_SOME_Dlet_Fun__dep
% Version : Especial.
% English :
% Refs : [Kum18] Kumar (2018), Email to Geoff Sutcliffe
% Source : [Kum18]
% Names : ml_prog__42__ML_code_SOME_Dlet_Fun__dep [Kum18]
% Status : Theorem
% Rating : 1.00 v7.3.0
% Syntax : Number of formulae : 27 ( 6 unt; 0 def)
% Number of atoms : 258 ( 190 equ)
% Maximal formula atoms : 91 ( 9 avg)
% Number of connectives : 342 ( 111 ~; 6 |; 165 &)
% ( 46 <=>; 14 =>; 0 <=; 0 <~>)
% Maximal formula depth : 96 ( 11 avg)
% Maximal term depth : 17 ( 2 avg)
% Number of predicates : 2 ( 1 usr; 0 prp; 1-2 aty)
% Number of functors : 60 ( 60 usr; 16 con; 0-6 aty)
% Number of variables : 574 ( 571 !; 3 ?)
% 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.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.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.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.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.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.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.v_11',axiom,
( ! [V_27a_27,V_27a_7c39_7c_27] :
( s__02(c_27type_2esemanticPrimitives_2ev_27__00,c_27const_2esemanticPrimitives_2eLitv_27__01(s__02(c_27type_2east_2elit_27__00,V_27a_27))) = s__02(c_27type_2esemanticPrimitives_2ev_27__00,c_27const_2esemanticPrimitives_2eLitv_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_2esemanticPrimitives_2ev_27__00,c_27const_2esemanticPrimitives_2eConv_27__02(s__02(c_27type_2eoption_2eoption_27__01(c_27type_2epair_2eprod_27__02(c_27type_2elist_2elist_27__01(c_27type_2estring_2echar_27__00),c_27type_2esemanticPrimitives_2etid__or__exn_27__00)),V_27a0_27),s__02(c_27type_2elist_2elist_27__01(c_27type_2esemanticPrimitives_2ev_27__00),V_27a1_27))) = s__02(c_27type_2esemanticPrimitives_2ev_27__00,c_27const_2esemanticPrimitives_2eConv_27__02(s__02(c_27type_2eoption_2eoption_27__01(c_27type_2epair_2eprod_27__02(c_27type_2elist_2elist_27__01(c_27type_2estring_2echar_27__00),c_27type_2esemanticPrimitives_2etid__or__exn_27__00)),V_27a0_7c39_7c_27),s__02(c_27type_2elist_2elist_27__01(c_27type_2esemanticPrimitives_2ev_27__00),V_27a1_7c39_7c_27)))
<=> ( s__02(c_27type_2eoption_2eoption_27__01(c_27type_2epair_2eprod_27__02(c_27type_2elist_2elist_27__01(c_27type_2estring_2echar_27__00),c_27type_2esemanticPrimitives_2etid__or__exn_27__00)),V_27a0_27) = s__02(c_27type_2eoption_2eoption_27__01(c_27type_2epair_2eprod_27__02(c_27type_2elist_2elist_27__01(c_27type_2estring_2echar_27__00),c_27type_2esemanticPrimitives_2etid__or__exn_27__00)),V_27a0_7c39_7c_27)
& s__02(c_27type_2elist_2elist_27__01(c_27type_2esemanticPrimitives_2ev_27__00),V_27a1_27) = s__02(c_27type_2elist_2elist_27__01(c_27type_2esemanticPrimitives_2ev_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_2esemanticPrimitives_2ev_27__00,c_27const_2esemanticPrimitives_2eClosure_27__03(s__02(c_27type_2esemanticPrimitives_2esem__env_27__01(c_27type_2esemanticPrimitives_2ev_27__00),V_27a0_27),s__02(c_27type_2elist_2elist_27__01(c_27type_2estring_2echar_27__00),V_27a1_27),s__02(c_27type_2east_2eexp_27__00,V_27a2_27))) = s__02(c_27type_2esemanticPrimitives_2ev_27__00,c_27const_2esemanticPrimitives_2eClosure_27__03(s__02(c_27type_2esemanticPrimitives_2esem__env_27__01(c_27type_2esemanticPrimitives_2ev_27__00),V_27a0_7c39_7c_27),s__02(c_27type_2elist_2elist_27__01(c_27type_2estring_2echar_27__00),V_27a1_7c39_7c_27),s__02(c_27type_2east_2eexp_27__00,V_27a2_7c39_7c_27)))
<=> ( s__02(c_27type_2esemanticPrimitives_2esem__env_27__01(c_27type_2esemanticPrimitives_2ev_27__00),V_27a0_27) = s__02(c_27type_2esemanticPrimitives_2esem__env_27__01(c_27type_2esemanticPrimitives_2ev_27__00),V_27a0_7c39_7c_27)
& s__02(c_27type_2elist_2elist_27__01(c_27type_2estring_2echar_27__00),V_27a1_27) = s__02(c_27type_2elist_2elist_27__01(c_27type_2estring_2echar_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_2esemanticPrimitives_2ev_27__00,c_27const_2esemanticPrimitives_2eRecclosure_27__03(s__02(c_27type_2esemanticPrimitives_2esem__env_27__01(c_27type_2esemanticPrimitives_2ev_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_27a1_27),s__02(c_27type_2elist_2elist_27__01(c_27type_2estring_2echar_27__00),V_27a2_27))) = s__02(c_27type_2esemanticPrimitives_2ev_27__00,c_27const_2esemanticPrimitives_2eRecclosure_27__03(s__02(c_27type_2esemanticPrimitives_2esem__env_27__01(c_27type_2esemanticPrimitives_2ev_27__00),V_27a0_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_27a1_7c39_7c_27),s__02(c_27type_2elist_2elist_27__01(c_27type_2estring_2echar_27__00),V_27a2_7c39_7c_27)))
<=> ( s__02(c_27type_2esemanticPrimitives_2esem__env_27__01(c_27type_2esemanticPrimitives_2ev_27__00),V_27a0_27) = s__02(c_27type_2esemanticPrimitives_2esem__env_27__01(c_27type_2esemanticPrimitives_2ev_27__00),V_27a0_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_27a1_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_27a1_7c39_7c_27)
& s__02(c_27type_2elist_2elist_27__01(c_27type_2estring_2echar_27__00),V_27a2_27) = s__02(c_27type_2elist_2elist_27__01(c_27type_2estring_2echar_27__00),V_27a2_7c39_7c_27) ) )
& ! [V_27a_27,V_27a_7c39_7c_27] :
( s__02(c_27type_2esemanticPrimitives_2ev_27__00,c_27const_2esemanticPrimitives_2eLoc_27__01(s__02(c_27type_2enum_2enum_27__00,V_27a_27))) = s__02(c_27type_2esemanticPrimitives_2ev_27__00,c_27const_2esemanticPrimitives_2eLoc_27__01(s__02(c_27type_2enum_2enum_27__00,V_27a_7c39_7c_27)))
<=> s__02(c_27type_2enum_2enum_27__00,V_27a_27) = s__02(c_27type_2enum_2enum_27__00,V_27a_7c39_7c_27) )
& ! [V_27a_27,V_27a_7c39_7c_27] :
( s__02(c_27type_2esemanticPrimitives_2ev_27__00,c_27const_2esemanticPrimitives_2eVectorv_27__01(s__02(c_27type_2elist_2elist_27__01(c_27type_2esemanticPrimitives_2ev_27__00),V_27a_27))) = s__02(c_27type_2esemanticPrimitives_2ev_27__00,c_27const_2esemanticPrimitives_2eVectorv_27__01(s__02(c_27type_2elist_2elist_27__01(c_27type_2esemanticPrimitives_2ev_27__00),V_27a_7c39_7c_27)))
<=> s__02(c_27type_2elist_2elist_27__01(c_27type_2esemanticPrimitives_2ev_27__00),V_27a_27) = s__02(c_27type_2elist_2elist_27__01(c_27type_2esemanticPrimitives_2ev_27__00),V_27a_7c39_7c_27) ) ) ).
fof('thm.semanticPrimitives.v_distinct',axiom,
( ! [V_27a1_27,V_27a0_27,V_27a_27] : s__02(c_27type_2esemanticPrimitives_2ev_27__00,c_27const_2esemanticPrimitives_2eLitv_27__01(s__02(c_27type_2east_2elit_27__00,V_27a_27))) != s__02(c_27type_2esemanticPrimitives_2ev_27__00,c_27const_2esemanticPrimitives_2eConv_27__02(s__02(c_27type_2eoption_2eoption_27__01(c_27type_2epair_2eprod_27__02(c_27type_2elist_2elist_27__01(c_27type_2estring_2echar_27__00),c_27type_2esemanticPrimitives_2etid__or__exn_27__00)),V_27a0_27),s__02(c_27type_2elist_2elist_27__01(c_27type_2esemanticPrimitives_2ev_27__00),V_27a1_27)))
& ! [V_27a2_27,V_27a1_27,V_27a0_27,V_27a_27] : s__02(c_27type_2esemanticPrimitives_2ev_27__00,c_27const_2esemanticPrimitives_2eLitv_27__01(s__02(c_27type_2east_2elit_27__00,V_27a_27))) != s__02(c_27type_2esemanticPrimitives_2ev_27__00,c_27const_2esemanticPrimitives_2eClosure_27__03(s__02(c_27type_2esemanticPrimitives_2esem__env_27__01(c_27type_2esemanticPrimitives_2ev_27__00),V_27a0_27),s__02(c_27type_2elist_2elist_27__01(c_27type_2estring_2echar_27__00),V_27a1_27),s__02(c_27type_2east_2eexp_27__00,V_27a2_27)))
& ! [V_27a2_27,V_27a1_27,V_27a0_27,V_27a_27] : s__02(c_27type_2esemanticPrimitives_2ev_27__00,c_27const_2esemanticPrimitives_2eLitv_27__01(s__02(c_27type_2east_2elit_27__00,V_27a_27))) != s__02(c_27type_2esemanticPrimitives_2ev_27__00,c_27const_2esemanticPrimitives_2eRecclosure_27__03(s__02(c_27type_2esemanticPrimitives_2esem__env_27__01(c_27type_2esemanticPrimitives_2ev_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_27a1_27),s__02(c_27type_2elist_2elist_27__01(c_27type_2estring_2echar_27__00),V_27a2_27)))
& ! [V_27a_7c39_7c_27,V_27a_27] : s__02(c_27type_2esemanticPrimitives_2ev_27__00,c_27const_2esemanticPrimitives_2eLitv_27__01(s__02(c_27type_2east_2elit_27__00,V_27a_27))) != s__02(c_27type_2esemanticPrimitives_2ev_27__00,c_27const_2esemanticPrimitives_2eLoc_27__01(s__02(c_27type_2enum_2enum_27__00,V_27a_7c39_7c_27)))
& ! [V_27a_7c39_7c_27,V_27a_27] : s__02(c_27type_2esemanticPrimitives_2ev_27__00,c_27const_2esemanticPrimitives_2eLitv_27__01(s__02(c_27type_2east_2elit_27__00,V_27a_27))) != s__02(c_27type_2esemanticPrimitives_2ev_27__00,c_27const_2esemanticPrimitives_2eVectorv_27__01(s__02(c_27type_2elist_2elist_27__01(c_27type_2esemanticPrimitives_2ev_27__00),V_27a_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_2esemanticPrimitives_2ev_27__00,c_27const_2esemanticPrimitives_2eConv_27__02(s__02(c_27type_2eoption_2eoption_27__01(c_27type_2epair_2eprod_27__02(c_27type_2elist_2elist_27__01(c_27type_2estring_2echar_27__00),c_27type_2esemanticPrimitives_2etid__or__exn_27__00)),V_27a0_27),s__02(c_27type_2elist_2elist_27__01(c_27type_2esemanticPrimitives_2ev_27__00),V_27a1_27))) != s__02(c_27type_2esemanticPrimitives_2ev_27__00,c_27const_2esemanticPrimitives_2eClosure_27__03(s__02(c_27type_2esemanticPrimitives_2esem__env_27__01(c_27type_2esemanticPrimitives_2ev_27__00),V_27a0_7c39_7c_27),s__02(c_27type_2elist_2elist_27__01(c_27type_2estring_2echar_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_2esemanticPrimitives_2ev_27__00,c_27const_2esemanticPrimitives_2eConv_27__02(s__02(c_27type_2eoption_2eoption_27__01(c_27type_2epair_2eprod_27__02(c_27type_2elist_2elist_27__01(c_27type_2estring_2echar_27__00),c_27type_2esemanticPrimitives_2etid__or__exn_27__00)),V_27a0_27),s__02(c_27type_2elist_2elist_27__01(c_27type_2esemanticPrimitives_2ev_27__00),V_27a1_27))) != s__02(c_27type_2esemanticPrimitives_2ev_27__00,c_27const_2esemanticPrimitives_2eRecclosure_27__03(s__02(c_27type_2esemanticPrimitives_2esem__env_27__01(c_27type_2esemanticPrimitives_2ev_27__00),V_27a0_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_27a1_7c39_7c_27),s__02(c_27type_2elist_2elist_27__01(c_27type_2estring_2echar_27__00),V_27a2_27)))
& ! [V_27a1_27,V_27a0_27,V_27a_27] : s__02(c_27type_2esemanticPrimitives_2ev_27__00,c_27const_2esemanticPrimitives_2eConv_27__02(s__02(c_27type_2eoption_2eoption_27__01(c_27type_2epair_2eprod_27__02(c_27type_2elist_2elist_27__01(c_27type_2estring_2echar_27__00),c_27type_2esemanticPrimitives_2etid__or__exn_27__00)),V_27a0_27),s__02(c_27type_2elist_2elist_27__01(c_27type_2esemanticPrimitives_2ev_27__00),V_27a1_27))) != s__02(c_27type_2esemanticPrimitives_2ev_27__00,c_27const_2esemanticPrimitives_2eLoc_27__01(s__02(c_27type_2enum_2enum_27__00,V_27a_27)))
& ! [V_27a1_27,V_27a0_27,V_27a_27] : s__02(c_27type_2esemanticPrimitives_2ev_27__00,c_27const_2esemanticPrimitives_2eConv_27__02(s__02(c_27type_2eoption_2eoption_27__01(c_27type_2epair_2eprod_27__02(c_27type_2elist_2elist_27__01(c_27type_2estring_2echar_27__00),c_27type_2esemanticPrimitives_2etid__or__exn_27__00)),V_27a0_27),s__02(c_27type_2elist_2elist_27__01(c_27type_2esemanticPrimitives_2ev_27__00),V_27a1_27))) != s__02(c_27type_2esemanticPrimitives_2ev_27__00,c_27const_2esemanticPrimitives_2eVectorv_27__01(s__02(c_27type_2elist_2elist_27__01(c_27type_2esemanticPrimitives_2ev_27__00),V_27a_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_2esemanticPrimitives_2ev_27__00,c_27const_2esemanticPrimitives_2eClosure_27__03(s__02(c_27type_2esemanticPrimitives_2esem__env_27__01(c_27type_2esemanticPrimitives_2ev_27__00),V_27a0_27),s__02(c_27type_2elist_2elist_27__01(c_27type_2estring_2echar_27__00),V_27a1_27),s__02(c_27type_2east_2eexp_27__00,V_27a2_27))) != s__02(c_27type_2esemanticPrimitives_2ev_27__00,c_27const_2esemanticPrimitives_2eRecclosure_27__03(s__02(c_27type_2esemanticPrimitives_2esem__env_27__01(c_27type_2esemanticPrimitives_2ev_27__00),V_27a0_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_27a1_7c39_7c_27),s__02(c_27type_2elist_2elist_27__01(c_27type_2estring_2echar_27__00),V_27a2_7c39_7c_27)))
& ! [V_27a2_27,V_27a1_27,V_27a0_27,V_27a_27] : s__02(c_27type_2esemanticPrimitives_2ev_27__00,c_27const_2esemanticPrimitives_2eClosure_27__03(s__02(c_27type_2esemanticPrimitives_2esem__env_27__01(c_27type_2esemanticPrimitives_2ev_27__00),V_27a0_27),s__02(c_27type_2elist_2elist_27__01(c_27type_2estring_2echar_27__00),V_27a1_27),s__02(c_27type_2east_2eexp_27__00,V_27a2_27))) != s__02(c_27type_2esemanticPrimitives_2ev_27__00,c_27const_2esemanticPrimitives_2eLoc_27__01(s__02(c_27type_2enum_2enum_27__00,V_27a_27)))
& ! [V_27a2_27,V_27a1_27,V_27a0_27,V_27a_27] : s__02(c_27type_2esemanticPrimitives_2ev_27__00,c_27const_2esemanticPrimitives_2eClosure_27__03(s__02(c_27type_2esemanticPrimitives_2esem__env_27__01(c_27type_2esemanticPrimitives_2ev_27__00),V_27a0_27),s__02(c_27type_2elist_2elist_27__01(c_27type_2estring_2echar_27__00),V_27a1_27),s__02(c_27type_2east_2eexp_27__00,V_27a2_27))) != s__02(c_27type_2esemanticPrimitives_2ev_27__00,c_27const_2esemanticPrimitives_2eVectorv_27__01(s__02(c_27type_2elist_2elist_27__01(c_27type_2esemanticPrimitives_2ev_27__00),V_27a_27)))
& ! [V_27a2_27,V_27a1_27,V_27a0_27,V_27a_27] : s__02(c_27type_2esemanticPrimitives_2ev_27__00,c_27const_2esemanticPrimitives_2eRecclosure_27__03(s__02(c_27type_2esemanticPrimitives_2esem__env_27__01(c_27type_2esemanticPrimitives_2ev_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_27a1_27),s__02(c_27type_2elist_2elist_27__01(c_27type_2estring_2echar_27__00),V_27a2_27))) != s__02(c_27type_2esemanticPrimitives_2ev_27__00,c_27const_2esemanticPrimitives_2eLoc_27__01(s__02(c_27type_2enum_2enum_27__00,V_27a_27)))
& ! [V_27a2_27,V_27a1_27,V_27a0_27,V_27a_27] : s__02(c_27type_2esemanticPrimitives_2ev_27__00,c_27const_2esemanticPrimitives_2eRecclosure_27__03(s__02(c_27type_2esemanticPrimitives_2esem__env_27__01(c_27type_2esemanticPrimitives_2ev_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_27a1_27),s__02(c_27type_2elist_2elist_27__01(c_27type_2estring_2echar_27__00),V_27a2_27))) != s__02(c_27type_2esemanticPrimitives_2ev_27__00,c_27const_2esemanticPrimitives_2eVectorv_27__01(s__02(c_27type_2elist_2elist_27__01(c_27type_2esemanticPrimitives_2ev_27__00),V_27a_27)))
& ! [V_27a_7c39_7c_27,V_27a_27] : s__02(c_27type_2esemanticPrimitives_2ev_27__00,c_27const_2esemanticPrimitives_2eLoc_27__01(s__02(c_27type_2enum_2enum_27__00,V_27a_27))) != s__02(c_27type_2esemanticPrimitives_2ev_27__00,c_27const_2esemanticPrimitives_2eVectorv_27__01(s__02(c_27type_2elist_2elist_27__01(c_27type_2esemanticPrimitives_2ev_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('thm.ml_prog.ML_code_SOME_Dlet_var',axiom,
! [V_27A_27,V_27s2_27,V_27s1_27,V_27prog_27,V_27mn_27,V_27env2_27,V_27env1_27,V_27env_27,V_27ds_27] :
( p__01(s__02(cbool__00,c_27const_2eml__prog_2eML__code_27__06(s__02(c_27type_2esemanticPrimitives_2esem__env_27__01(c_27type_2esemanticPrimitives_2ev_27__00),V_27env1_27),s__02(c_27type_2esemanticPrimitives_2estate_27__01(V_27A_27),V_27s1_27),s__02(c_27type_2elist_2elist_27__01(c_27type_2east_2etop_27__00),V_27prog_27),s__02(c_27type_2eoption_2eoption_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_2east_2edec_27__00),c_27type_2esemanticPrimitives_2esem__env_27__01(c_27type_2esemanticPrimitives_2ev_27__00)))),c_27const_2eoption_2eSOME_27__01(s__02(c_27type_2epair_2eprod_27__02(c_27type_2elist_2elist_27__01(c_27type_2estring_2echar_27__00),c_27type_2epair_2eprod_27__02(c_27type_2elist_2elist_27__01(c_27type_2east_2edec_27__00),c_27type_2esemanticPrimitives_2esem__env_27__01(c_27type_2esemanticPrimitives_2ev_27__00))),c_27const_2epair_2e_2c_27__02(s__02(c_27type_2elist_2elist_27__01(c_27type_2estring_2echar_27__00),V_27mn_27),s__02(c_27type_2epair_2eprod_27__02(c_27type_2elist_2elist_27__01(c_27type_2east_2edec_27__00),c_27type_2esemanticPrimitives_2esem__env_27__01(c_27type_2esemanticPrimitives_2ev_27__00)),c_27const_2epair_2e_2c_27__02(s__02(c_27type_2elist_2elist_27__01(c_27type_2east_2edec_27__00),V_27ds_27),s__02(c_27type_2esemanticPrimitives_2esem__env_27__01(c_27type_2esemanticPrimitives_2ev_27__00),V_27env_27))))))),s__02(c_27type_2esemanticPrimitives_2esem__env_27__01(c_27type_2esemanticPrimitives_2ev_27__00),V_27env2_27),s__02(c_27type_2esemanticPrimitives_2estate_27__01(V_27A_27),V_27s2_27))))
=> ! [V_27e_27,V_27x_27,V_27s3_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),c_27const_2eml__prog_2emerge__env_27__02(s__02(c_27type_2esemanticPrimitives_2esem__env_27__01(c_27type_2esemanticPrimitives_2ev_27__00),V_27env2_27),s__02(c_27type_2esemanticPrimitives_2esem__env_27__01(c_27type_2esemanticPrimitives_2ev_27__00),c_27const_2eml__prog_2emerge__env_27__02(s__02(c_27type_2esemanticPrimitives_2esem__env_27__01(c_27type_2esemanticPrimitives_2ev_27__00),V_27env_27),s__02(c_27type_2esemanticPrimitives_2esem__env_27__01(c_27type_2esemanticPrimitives_2ev_27__00),V_27env1_27))))),s__02(c_27type_2esemanticPrimitives_2estate_27__01(V_27A_27),V_27s2_27),s__02(c_27type_2east_2eexp_27__00,V_27e_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_27s3_27),s__02(c_27type_2esemanticPrimitives_2eresult_27__02(c_27type_2esemanticPrimitives_2ev_27__00,c_27type_2esemanticPrimitives_2ev_27__00),c_27const_2esemanticPrimitives_2eRval_27__01(s__02(c_27type_2esemanticPrimitives_2ev_27__00,V_27x_27))))))))
=> ! [V_27n_27,V_27locs_27] : p__01(s__02(cbool__00,c_27const_2eml__prog_2eML__code_27__06(s__02(c_27type_2esemanticPrimitives_2esem__env_27__01(c_27type_2esemanticPrimitives_2ev_27__00),V_27env1_27),s__02(c_27type_2esemanticPrimitives_2estate_27__01(V_27A_27),V_27s1_27),s__02(c_27type_2elist_2elist_27__01(c_27type_2east_2etop_27__00),V_27prog_27),s__02(c_27type_2eoption_2eoption_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_2east_2edec_27__00),c_27type_2esemanticPrimitives_2esem__env_27__01(c_27type_2esemanticPrimitives_2ev_27__00)))),c_27const_2eoption_2eSOME_27__01(s__02(c_27type_2epair_2eprod_27__02(c_27type_2elist_2elist_27__01(c_27type_2estring_2echar_27__00),c_27type_2epair_2eprod_27__02(c_27type_2elist_2elist_27__01(c_27type_2east_2edec_27__00),c_27type_2esemanticPrimitives_2esem__env_27__01(c_27type_2esemanticPrimitives_2ev_27__00))),c_27const_2epair_2e_2c_27__02(s__02(c_27type_2elist_2elist_27__01(c_27type_2estring_2echar_27__00),V_27mn_27),s__02(c_27type_2epair_2eprod_27__02(c_27type_2elist_2elist_27__01(c_27type_2east_2edec_27__00),c_27type_2esemanticPrimitives_2esem__env_27__01(c_27type_2esemanticPrimitives_2ev_27__00)),c_27const_2epair_2e_2c_27__02(s__02(c_27type_2elist_2elist_27__01(c_27type_2east_2edec_27__00),c_27const_2elist_2eSNOC_27__02(s__02(c_27type_2east_2edec_27__00,c_27const_2east_2eDlet_27__03(s__02(c_27type_2elocation_2elocs_27__00,V_27locs_27),s__02(c_27type_2east_2epat_27__00,c_27const_2east_2ePvar_27__01(s__02(c_27type_2elist_2elist_27__01(c_27type_2estring_2echar_27__00),V_27n_27))),s__02(c_27type_2east_2eexp_27__00,V_27e_27))),s__02(c_27type_2elist_2elist_27__01(c_27type_2east_2edec_27__00),V_27ds_27))),s__02(c_27type_2esemanticPrimitives_2esem__env_27__01(c_27type_2esemanticPrimitives_2ev_27__00),V_27env_27))))))),s__02(c_27type_2esemanticPrimitives_2esem__env_27__01(c_27type_2esemanticPrimitives_2ev_27__00),c_27const_2eml__prog_2ewrite_27__03(s__02(c_27type_2elist_2elist_27__01(c_27type_2estring_2echar_27__00),V_27n_27),s__02(c_27type_2esemanticPrimitives_2ev_27__00,V_27x_27),s__02(c_27type_2esemanticPrimitives_2esem__env_27__01(c_27type_2esemanticPrimitives_2ev_27__00),V_27env2_27))),s__02(c_27type_2esemanticPrimitives_2estate_27__01(V_27A_27),V_27s3_27)))) ) ) ).
fof(conjecture,conjecture,
! [V_27A_27,V_27env1_27,V_27s1_27,V_27prog_27,V_27mn_27,V_27ds_27,V_27env_27,V_27env2_27,V_27s2_27] :
( p__01(s__02(cbool__00,c_27const_2eml__prog_2eML__code_27__06(s__02(c_27type_2esemanticPrimitives_2esem__env_27__01(c_27type_2esemanticPrimitives_2ev_27__00),V_27env1_27),s__02(c_27type_2esemanticPrimitives_2estate_27__01(V_27A_27),V_27s1_27),s__02(c_27type_2elist_2elist_27__01(c_27type_2east_2etop_27__00),V_27prog_27),s__02(c_27type_2eoption_2eoption_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_2east_2edec_27__00),c_27type_2esemanticPrimitives_2esem__env_27__01(c_27type_2esemanticPrimitives_2ev_27__00)))),c_27const_2eoption_2eSOME_27__01(s__02(c_27type_2epair_2eprod_27__02(c_27type_2elist_2elist_27__01(c_27type_2estring_2echar_27__00),c_27type_2epair_2eprod_27__02(c_27type_2elist_2elist_27__01(c_27type_2east_2edec_27__00),c_27type_2esemanticPrimitives_2esem__env_27__01(c_27type_2esemanticPrimitives_2ev_27__00))),c_27const_2epair_2e_2c_27__02(s__02(c_27type_2elist_2elist_27__01(c_27type_2estring_2echar_27__00),V_27mn_27),s__02(c_27type_2epair_2eprod_27__02(c_27type_2elist_2elist_27__01(c_27type_2east_2edec_27__00),c_27type_2esemanticPrimitives_2esem__env_27__01(c_27type_2esemanticPrimitives_2ev_27__00)),c_27const_2epair_2e_2c_27__02(s__02(c_27type_2elist_2elist_27__01(c_27type_2east_2edec_27__00),V_27ds_27),s__02(c_27type_2esemanticPrimitives_2esem__env_27__01(c_27type_2esemanticPrimitives_2ev_27__00),V_27env_27))))))),s__02(c_27type_2esemanticPrimitives_2esem__env_27__01(c_27type_2esemanticPrimitives_2ev_27__00),V_27env2_27),s__02(c_27type_2esemanticPrimitives_2estate_27__01(V_27A_27),V_27s2_27))))
=> ! [V_27n_27,V_27v_27,V_27e_27,V_27locs_27] : p__01(s__02(cbool__00,c_27const_2eml__prog_2eML__code_27__06(s__02(c_27type_2esemanticPrimitives_2esem__env_27__01(c_27type_2esemanticPrimitives_2ev_27__00),V_27env1_27),s__02(c_27type_2esemanticPrimitives_2estate_27__01(V_27A_27),V_27s1_27),s__02(c_27type_2elist_2elist_27__01(c_27type_2east_2etop_27__00),V_27prog_27),s__02(c_27type_2eoption_2eoption_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_2east_2edec_27__00),c_27type_2esemanticPrimitives_2esem__env_27__01(c_27type_2esemanticPrimitives_2ev_27__00)))),c_27const_2eoption_2eSOME_27__01(s__02(c_27type_2epair_2eprod_27__02(c_27type_2elist_2elist_27__01(c_27type_2estring_2echar_27__00),c_27type_2epair_2eprod_27__02(c_27type_2elist_2elist_27__01(c_27type_2east_2edec_27__00),c_27type_2esemanticPrimitives_2esem__env_27__01(c_27type_2esemanticPrimitives_2ev_27__00))),c_27const_2epair_2e_2c_27__02(s__02(c_27type_2elist_2elist_27__01(c_27type_2estring_2echar_27__00),V_27mn_27),s__02(c_27type_2epair_2eprod_27__02(c_27type_2elist_2elist_27__01(c_27type_2east_2edec_27__00),c_27type_2esemanticPrimitives_2esem__env_27__01(c_27type_2esemanticPrimitives_2ev_27__00)),c_27const_2epair_2e_2c_27__02(s__02(c_27type_2elist_2elist_27__01(c_27type_2east_2edec_27__00),c_27const_2elist_2eSNOC_27__02(s__02(c_27type_2east_2edec_27__00,c_27const_2east_2eDlet_27__03(s__02(c_27type_2elocation_2elocs_27__00,V_27locs_27),s__02(c_27type_2east_2epat_27__00,c_27const_2east_2ePvar_27__01(s__02(c_27type_2elist_2elist_27__01(c_27type_2estring_2echar_27__00),V_27n_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_27v_27),s__02(c_27type_2east_2eexp_27__00,V_27e_27))))),s__02(c_27type_2elist_2elist_27__01(c_27type_2east_2edec_27__00),V_27ds_27))),s__02(c_27type_2esemanticPrimitives_2esem__env_27__01(c_27type_2esemanticPrimitives_2ev_27__00),V_27env_27))))))),s__02(c_27type_2esemanticPrimitives_2esem__env_27__01(c_27type_2esemanticPrimitives_2ev_27__00),c_27const_2eml__prog_2ewrite_27__03(s__02(c_27type_2elist_2elist_27__01(c_27type_2estring_2echar_27__00),V_27n_27),s__02(c_27type_2esemanticPrimitives_2ev_27__00,c_27const_2esemanticPrimitives_2eClosure_27__03(s__02(c_27type_2esemanticPrimitives_2esem__env_27__01(c_27type_2esemanticPrimitives_2ev_27__00),c_27const_2eml__prog_2emerge__env_27__02(s__02(c_27type_2esemanticPrimitives_2esem__env_27__01(c_27type_2esemanticPrimitives_2ev_27__00),V_27env2_27),s__02(c_27type_2esemanticPrimitives_2esem__env_27__01(c_27type_2esemanticPrimitives_2ev_27__00),c_27const_2eml__prog_2emerge__env_27__02(s__02(c_27type_2esemanticPrimitives_2esem__env_27__01(c_27type_2esemanticPrimitives_2ev_27__00),V_27env_27),s__02(c_27type_2esemanticPrimitives_2esem__env_27__01(c_27type_2esemanticPrimitives_2ev_27__00),V_27env1_27))))),s__02(c_27type_2elist_2elist_27__01(c_27type_2estring_2echar_27__00),V_27v_27),s__02(c_27type_2east_2eexp_27__00,V_27e_27))),s__02(c_27type_2esemanticPrimitives_2esem__env_27__01(c_27type_2esemanticPrimitives_2ev_27__00),V_27env2_27))),s__02(c_27type_2esemanticPrimitives_2estate_27__01(V_27A_27),V_27s2_27)))) ) ).
%------------------------------------------------------------------------------