TPTP Problem File: SWW921+1.p
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%------------------------------------------------------------------------------
% File : SWW921+1 : TPTP v9.0.0. Released v7.3.0.
% Domain : Software Verification
% Problem : word_to_wordProof__6__tactictoe_prove_5__dep
% Version : Especial.
% English :
% Refs : [Kum18] Kumar (2018), Email to Geoff Sutcliffe
% Source : [Kum18]
% Names : word_to_wordProof__6__tactictoe_prove_5__dep [Kum18]
% Status : CounterSatisfiable
% Rating : 0.00 v8.2.0, 0.33 v8.1.0, 0.00 v7.5.0, 0.60 v7.4.0, 0.33 v7.3.0
% Syntax : Number of formulae : 13 ( 7 unt; 0 def)
% Number of atoms : 29 ( 25 equ)
% Maximal formula atoms : 7 ( 2 avg)
% Number of connectives : 17 ( 1 ~; 2 |; 1 &)
% ( 1 <=>; 12 =>; 0 <=; 0 <~>)
% Maximal formula depth : 21 ( 7 avg)
% Maximal term depth : 19 ( 3 avg)
% Number of predicates : 2 ( 1 usr; 0 prp; 1-2 aty)
% Number of functors : 42 ( 42 usr; 8 con; 0-3 aty)
% Number of variables : 89 ( 86 !; 3 ?)
% SPC : FOF_CSA_RFO_SEQ
% Comments :
%------------------------------------------------------------------------------
fof('HL_TRUTH',axiom,
p__01(s__02(cbool__00,cT__00)) ).
fof('HL_FALSITY',axiom,
~ p__01(s__02(cbool__00,cF__00)) ).
fof('HL_BOOL_CASES',axiom,
! [Vt] :
( s__02(cbool__00,Vt) = s__02(cbool__00,cT__00)
| s__02(cbool__00,Vt) = s__02(cbool__00,cF__00) ) ).
fof('HL_EXT',axiom,
! [V_3f2384,V_3f2380,Vf,Vg] :
( ! [Vx] : s__02(V_3f2380,chapp__02(s__02(cfun__02(V_3f2384,V_3f2380),Vf),s__02(V_3f2384,Vx))) = s__02(V_3f2380,chapp__02(s__02(cfun__02(V_3f2384,V_3f2380),Vg),s__02(V_3f2384,Vx)))
=> s__02(cfun__02(V_3f2384,V_3f2380),Vf) = s__02(cfun__02(V_3f2384,V_3f2380),Vg) ) ).
fof('thm.bool.TRUTH',axiom,
p__01(s__02(cbool__00,cT__00)) ).
fof('thm.bool.LET_THM',axiom,
! [V_27B_27,V_27A_27,V_27f_27,V_27x_27] : s__02(V_27B_27,c_27const_2ebool_2eLET_27__02(s__02(cfun__02(V_27A_27,V_27B_27),V_27f_27),s__02(V_27A_27,V_27x_27))) = s__02(V_27B_27,chapp__02(s__02(cfun__02(V_27A_27,V_27B_27),V_27f_27),s__02(V_27A_27,V_27x_27))) ).
fof('thm.bool.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.pair.pair_CASES',axiom,
! [V_27A_27,V_27B_27,V_27x_27] :
? [V_27q_27,V_27r_27] : s__02(c_27type_2epair_2eprod_27__02(V_27A_27,V_27B_27),V_27x_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_27q_27),s__02(V_27B_27,V_27r_27))) ).
fof('thm.pair.UNCURRY_DEF',axiom,
! [V_27C_27,V_27A_27,V_27B_27,V_27f_27,V_27x_27,V_27y_27] : s__02(V_27C_27,chapp__02(s__02(cfun__02(c_27type_2epair_2eprod_27__02(V_27A_27,V_27B_27),V_27C_27),c_27const_2epair_2eUNCURRY_27__01(s__02(cfun__02(V_27A_27,cfun__02(V_27B_27,V_27C_27)),V_27f_27))),s__02(c_27type_2epair_2eprod_27__02(V_27A_27,V_27B_27),c_27const_2epair_2e_2c_27__02(s__02(V_27A_27,V_27x_27),s__02(V_27B_27,V_27y_27))))) = s__02(V_27C_27,chapp__02(s__02(cfun__02(V_27B_27,V_27C_27),chapp__02(s__02(cfun__02(V_27A_27,cfun__02(V_27B_27,V_27C_27)),V_27f_27),s__02(V_27A_27,V_27x_27))),s__02(V_27B_27,V_27y_27))) ).
fof('thm.option.option_nchotomy',axiom,
! [V_27A_27,V_27opt_27] :
( s__02(c_27type_2eoption_2eoption_27__01(V_27A_27),V_27opt_27) = s__02(c_27type_2eoption_2eoption_27__01(V_27A_27),c_27const_2eoption_2eNONE_27__00)
| ? [V_27x_27] : s__02(c_27type_2eoption_2eoption_27__01(V_27A_27),V_27opt_27) = s__02(c_27type_2eoption_2eoption_27__01(V_27A_27),c_27const_2eoption_2eSOME_27__01(s__02(V_27A_27,V_27x_27))) ) ).
fof('thm.wordSem.env_to_list_def',axiom,
! [V_27A_27,V__5] :
( ! [V_27bij__seq_27,V_27n_27] : s__02(cfun__02(c_27type_2enum_2enum_27__00,c_27type_2enum_2enum_27__00),chapp__02(s__02(cfun__02(c_27type_2enum_2enum_27__00,cfun__02(c_27type_2enum_2enum_27__00,c_27type_2enum_2enum_27__00)),chapp__02(s__02(cfun__02(cfun__02(c_27type_2enum_2enum_27__00,cfun__02(c_27type_2enum_2enum_27__00,c_27type_2enum_2enum_27__00)),cfun__02(c_27type_2enum_2enum_27__00,cfun__02(c_27type_2enum_2enum_27__00,c_27type_2enum_2enum_27__00))),V__5),s__02(cfun__02(c_27type_2enum_2enum_27__00,cfun__02(c_27type_2enum_2enum_27__00,c_27type_2enum_2enum_27__00)),V_27bij__seq_27))),s__02(c_27type_2enum_2enum_27__00,V_27n_27))) = s__02(cfun__02(c_27type_2enum_2enum_27__00,c_27type_2enum_2enum_27__00),chapp__02(s__02(cfun__02(c_27type_2enum_2enum_27__00,cfun__02(c_27type_2enum_2enum_27__00,c_27type_2enum_2enum_27__00)),V_27bij__seq_27),s__02(c_27type_2enum_2enum_27__00,c_27const_2earithmetic_2e_2b_27__02(s__02(c_27type_2enum_2enum_27__00,V_27n_27),s__02(c_27type_2enum_2enum_27__00,c_27const_2earithmetic_2eNUMERAL_27__01(s__02(c_27type_2enum_2enum_27__00,c_27const_2earithmetic_2eBIT1_27__01(s__02(c_27type_2enum_2enum_27__00,c_27const_2earithmetic_2eZERO_27__00)))))))))
=> ! [V__4] :
( ! [V_27permute_27,V_27l1_27] : s__02(c_27type_2epair_2eprod_27__02(c_27type_2elist_2elist_27__01(c_27type_2epair_2eprod_27__02(c_27type_2enum_2enum_27__00,c_27type_2ewordSem_2eword__loc_27__01(V_27A_27))),cfun__02(c_27type_2enum_2enum_27__00,cfun__02(c_27type_2enum_2enum_27__00,c_27type_2enum_2enum_27__00))),chapp__02(s__02(cfun__02(c_27type_2elist_2elist_27__01(c_27type_2epair_2eprod_27__02(c_27type_2enum_2enum_27__00,c_27type_2ewordSem_2eword__loc_27__01(V_27A_27))),c_27type_2epair_2eprod_27__02(c_27type_2elist_2elist_27__01(c_27type_2epair_2eprod_27__02(c_27type_2enum_2enum_27__00,c_27type_2ewordSem_2eword__loc_27__01(V_27A_27))),cfun__02(c_27type_2enum_2enum_27__00,cfun__02(c_27type_2enum_2enum_27__00,c_27type_2enum_2enum_27__00)))),chapp__02(s__02(cfun__02(cfun__02(c_27type_2enum_2enum_27__00,cfun__02(c_27type_2enum_2enum_27__00,c_27type_2enum_2enum_27__00)),cfun__02(c_27type_2elist_2elist_27__01(c_27type_2epair_2eprod_27__02(c_27type_2enum_2enum_27__00,c_27type_2ewordSem_2eword__loc_27__01(V_27A_27))),c_27type_2epair_2eprod_27__02(c_27type_2elist_2elist_27__01(c_27type_2epair_2eprod_27__02(c_27type_2enum_2enum_27__00,c_27type_2ewordSem_2eword__loc_27__01(V_27A_27))),cfun__02(c_27type_2enum_2enum_27__00,cfun__02(c_27type_2enum_2enum_27__00,c_27type_2enum_2enum_27__00))))),V__4),s__02(cfun__02(c_27type_2enum_2enum_27__00,cfun__02(c_27type_2enum_2enum_27__00,c_27type_2enum_2enum_27__00)),V_27permute_27))),s__02(c_27type_2elist_2elist_27__01(c_27type_2epair_2eprod_27__02(c_27type_2enum_2enum_27__00,c_27type_2ewordSem_2eword__loc_27__01(V_27A_27))),V_27l1_27))) = s__02(c_27type_2epair_2eprod_27__02(c_27type_2elist_2elist_27__01(c_27type_2epair_2eprod_27__02(c_27type_2enum_2enum_27__00,c_27type_2ewordSem_2eword__loc_27__01(V_27A_27))),cfun__02(c_27type_2enum_2enum_27__00,cfun__02(c_27type_2enum_2enum_27__00,c_27type_2enum_2enum_27__00))),c_27const_2epair_2e_2c_27__02(s__02(c_27type_2elist_2elist_27__01(c_27type_2epair_2eprod_27__02(c_27type_2enum_2enum_27__00,c_27type_2ewordSem_2eword__loc_27__01(V_27A_27))),V_27l1_27),s__02(cfun__02(c_27type_2enum_2enum_27__00,cfun__02(c_27type_2enum_2enum_27__00,c_27type_2enum_2enum_27__00)),V_27permute_27)))
=> ! [V__3] :
( ! [V_27permute_27,V_27mover_27,V_27l0_27] : s__02(c_27type_2epair_2eprod_27__02(c_27type_2elist_2elist_27__01(c_27type_2epair_2eprod_27__02(c_27type_2enum_2enum_27__00,c_27type_2ewordSem_2eword__loc_27__01(V_27A_27))),cfun__02(c_27type_2enum_2enum_27__00,cfun__02(c_27type_2enum_2enum_27__00,c_27type_2enum_2enum_27__00))),chapp__02(s__02(cfun__02(c_27type_2elist_2elist_27__01(c_27type_2epair_2eprod_27__02(c_27type_2enum_2enum_27__00,c_27type_2ewordSem_2eword__loc_27__01(V_27A_27))),c_27type_2epair_2eprod_27__02(c_27type_2elist_2elist_27__01(c_27type_2epair_2eprod_27__02(c_27type_2enum_2enum_27__00,c_27type_2ewordSem_2eword__loc_27__01(V_27A_27))),cfun__02(c_27type_2enum_2enum_27__00,cfun__02(c_27type_2enum_2enum_27__00,c_27type_2enum_2enum_27__00)))),chapp__02(s__02(cfun__02(cfun__02(c_27type_2enum_2enum_27__00,c_27type_2enum_2enum_27__00),cfun__02(c_27type_2elist_2elist_27__01(c_27type_2epair_2eprod_27__02(c_27type_2enum_2enum_27__00,c_27type_2ewordSem_2eword__loc_27__01(V_27A_27))),c_27type_2epair_2eprod_27__02(c_27type_2elist_2elist_27__01(c_27type_2epair_2eprod_27__02(c_27type_2enum_2enum_27__00,c_27type_2ewordSem_2eword__loc_27__01(V_27A_27))),cfun__02(c_27type_2enum_2enum_27__00,cfun__02(c_27type_2enum_2enum_27__00,c_27type_2enum_2enum_27__00))))),chapp__02(s__02(cfun__02(cfun__02(c_27type_2enum_2enum_27__00,cfun__02(c_27type_2enum_2enum_27__00,c_27type_2enum_2enum_27__00)),cfun__02(cfun__02(c_27type_2enum_2enum_27__00,c_27type_2enum_2enum_27__00),cfun__02(c_27type_2elist_2elist_27__01(c_27type_2epair_2eprod_27__02(c_27type_2enum_2enum_27__00,c_27type_2ewordSem_2eword__loc_27__01(V_27A_27))),c_27type_2epair_2eprod_27__02(c_27type_2elist_2elist_27__01(c_27type_2epair_2eprod_27__02(c_27type_2enum_2enum_27__00,c_27type_2ewordSem_2eword__loc_27__01(V_27A_27))),cfun__02(c_27type_2enum_2enum_27__00,cfun__02(c_27type_2enum_2enum_27__00,c_27type_2enum_2enum_27__00)))))),V__3),s__02(cfun__02(c_27type_2enum_2enum_27__00,cfun__02(c_27type_2enum_2enum_27__00,c_27type_2enum_2enum_27__00)),V_27permute_27))),s__02(cfun__02(c_27type_2enum_2enum_27__00,c_27type_2enum_2enum_27__00),V_27mover_27))),s__02(c_27type_2elist_2elist_27__01(c_27type_2epair_2eprod_27__02(c_27type_2enum_2enum_27__00,c_27type_2ewordSem_2eword__loc_27__01(V_27A_27))),V_27l0_27))) = s__02(c_27type_2epair_2eprod_27__02(c_27type_2elist_2elist_27__01(c_27type_2epair_2eprod_27__02(c_27type_2enum_2enum_27__00,c_27type_2ewordSem_2eword__loc_27__01(V_27A_27))),cfun__02(c_27type_2enum_2enum_27__00,cfun__02(c_27type_2enum_2enum_27__00,c_27type_2enum_2enum_27__00))),c_27const_2ebool_2eLET_27__02(s__02(cfun__02(c_27type_2elist_2elist_27__01(c_27type_2epair_2eprod_27__02(c_27type_2enum_2enum_27__00,c_27type_2ewordSem_2eword__loc_27__01(V_27A_27))),c_27type_2epair_2eprod_27__02(c_27type_2elist_2elist_27__01(c_27type_2epair_2eprod_27__02(c_27type_2enum_2enum_27__00,c_27type_2ewordSem_2eword__loc_27__01(V_27A_27))),cfun__02(c_27type_2enum_2enum_27__00,cfun__02(c_27type_2enum_2enum_27__00,c_27type_2enum_2enum_27__00)))),chapp__02(s__02(cfun__02(cfun__02(c_27type_2enum_2enum_27__00,cfun__02(c_27type_2enum_2enum_27__00,c_27type_2enum_2enum_27__00)),cfun__02(c_27type_2elist_2elist_27__01(c_27type_2epair_2eprod_27__02(c_27type_2enum_2enum_27__00,c_27type_2ewordSem_2eword__loc_27__01(V_27A_27))),c_27type_2epair_2eprod_27__02(c_27type_2elist_2elist_27__01(c_27type_2epair_2eprod_27__02(c_27type_2enum_2enum_27__00,c_27type_2ewordSem_2eword__loc_27__01(V_27A_27))),cfun__02(c_27type_2enum_2enum_27__00,cfun__02(c_27type_2enum_2enum_27__00,c_27type_2enum_2enum_27__00))))),V__4),s__02(cfun__02(c_27type_2enum_2enum_27__00,cfun__02(c_27type_2enum_2enum_27__00,c_27type_2enum_2enum_27__00)),V_27permute_27))),s__02(c_27type_2elist_2elist_27__01(c_27type_2epair_2eprod_27__02(c_27type_2enum_2enum_27__00,c_27type_2ewordSem_2eword__loc_27__01(V_27A_27))),c_27const_2ewordSem_2elist__rearrange_27__02(s__02(cfun__02(c_27type_2enum_2enum_27__00,c_27type_2enum_2enum_27__00),V_27mover_27),s__02(c_27type_2elist_2elist_27__01(c_27type_2epair_2eprod_27__02(c_27type_2enum_2enum_27__00,c_27type_2ewordSem_2eword__loc_27__01(V_27A_27))),V_27l0_27)))))
=> ! [V__2] :
( ! [V_27permute_27,V_27mover_27,V_27l_27] : s__02(c_27type_2epair_2eprod_27__02(c_27type_2elist_2elist_27__01(c_27type_2epair_2eprod_27__02(c_27type_2enum_2enum_27__00,c_27type_2ewordSem_2eword__loc_27__01(V_27A_27))),cfun__02(c_27type_2enum_2enum_27__00,cfun__02(c_27type_2enum_2enum_27__00,c_27type_2enum_2enum_27__00))),chapp__02(s__02(cfun__02(c_27type_2elist_2elist_27__01(c_27type_2epair_2eprod_27__02(c_27type_2enum_2enum_27__00,c_27type_2ewordSem_2eword__loc_27__01(V_27A_27))),c_27type_2epair_2eprod_27__02(c_27type_2elist_2elist_27__01(c_27type_2epair_2eprod_27__02(c_27type_2enum_2enum_27__00,c_27type_2ewordSem_2eword__loc_27__01(V_27A_27))),cfun__02(c_27type_2enum_2enum_27__00,cfun__02(c_27type_2enum_2enum_27__00,c_27type_2enum_2enum_27__00)))),chapp__02(s__02(cfun__02(cfun__02(c_27type_2enum_2enum_27__00,c_27type_2enum_2enum_27__00),cfun__02(c_27type_2elist_2elist_27__01(c_27type_2epair_2eprod_27__02(c_27type_2enum_2enum_27__00,c_27type_2ewordSem_2eword__loc_27__01(V_27A_27))),c_27type_2epair_2eprod_27__02(c_27type_2elist_2elist_27__01(c_27type_2epair_2eprod_27__02(c_27type_2enum_2enum_27__00,c_27type_2ewordSem_2eword__loc_27__01(V_27A_27))),cfun__02(c_27type_2enum_2enum_27__00,cfun__02(c_27type_2enum_2enum_27__00,c_27type_2enum_2enum_27__00))))),chapp__02(s__02(cfun__02(cfun__02(c_27type_2enum_2enum_27__00,cfun__02(c_27type_2enum_2enum_27__00,c_27type_2enum_2enum_27__00)),cfun__02(cfun__02(c_27type_2enum_2enum_27__00,c_27type_2enum_2enum_27__00),cfun__02(c_27type_2elist_2elist_27__01(c_27type_2epair_2eprod_27__02(c_27type_2enum_2enum_27__00,c_27type_2ewordSem_2eword__loc_27__01(V_27A_27))),c_27type_2epair_2eprod_27__02(c_27type_2elist_2elist_27__01(c_27type_2epair_2eprod_27__02(c_27type_2enum_2enum_27__00,c_27type_2ewordSem_2eword__loc_27__01(V_27A_27))),cfun__02(c_27type_2enum_2enum_27__00,cfun__02(c_27type_2enum_2enum_27__00,c_27type_2enum_2enum_27__00)))))),V__2),s__02(cfun__02(c_27type_2enum_2enum_27__00,cfun__02(c_27type_2enum_2enum_27__00,c_27type_2enum_2enum_27__00)),V_27permute_27))),s__02(cfun__02(c_27type_2enum_2enum_27__00,c_27type_2enum_2enum_27__00),V_27mover_27))),s__02(c_27type_2elist_2elist_27__01(c_27type_2epair_2eprod_27__02(c_27type_2enum_2enum_27__00,c_27type_2ewordSem_2eword__loc_27__01(V_27A_27))),V_27l_27))) = s__02(c_27type_2epair_2eprod_27__02(c_27type_2elist_2elist_27__01(c_27type_2epair_2eprod_27__02(c_27type_2enum_2enum_27__00,c_27type_2ewordSem_2eword__loc_27__01(V_27A_27))),cfun__02(c_27type_2enum_2enum_27__00,cfun__02(c_27type_2enum_2enum_27__00,c_27type_2enum_2enum_27__00))),c_27const_2ebool_2eLET_27__02(s__02(cfun__02(c_27type_2elist_2elist_27__01(c_27type_2epair_2eprod_27__02(c_27type_2enum_2enum_27__00,c_27type_2ewordSem_2eword__loc_27__01(V_27A_27))),c_27type_2epair_2eprod_27__02(c_27type_2elist_2elist_27__01(c_27type_2epair_2eprod_27__02(c_27type_2enum_2enum_27__00,c_27type_2ewordSem_2eword__loc_27__01(V_27A_27))),cfun__02(c_27type_2enum_2enum_27__00,cfun__02(c_27type_2enum_2enum_27__00,c_27type_2enum_2enum_27__00)))),chapp__02(s__02(cfun__02(cfun__02(c_27type_2enum_2enum_27__00,c_27type_2enum_2enum_27__00),cfun__02(c_27type_2elist_2elist_27__01(c_27type_2epair_2eprod_27__02(c_27type_2enum_2enum_27__00,c_27type_2ewordSem_2eword__loc_27__01(V_27A_27))),c_27type_2epair_2eprod_27__02(c_27type_2elist_2elist_27__01(c_27type_2epair_2eprod_27__02(c_27type_2enum_2enum_27__00,c_27type_2ewordSem_2eword__loc_27__01(V_27A_27))),cfun__02(c_27type_2enum_2enum_27__00,cfun__02(c_27type_2enum_2enum_27__00,c_27type_2enum_2enum_27__00))))),chapp__02(s__02(cfun__02(cfun__02(c_27type_2enum_2enum_27__00,cfun__02(c_27type_2enum_2enum_27__00,c_27type_2enum_2enum_27__00)),cfun__02(cfun__02(c_27type_2enum_2enum_27__00,c_27type_2enum_2enum_27__00),cfun__02(c_27type_2elist_2elist_27__01(c_27type_2epair_2eprod_27__02(c_27type_2enum_2enum_27__00,c_27type_2ewordSem_2eword__loc_27__01(V_27A_27))),c_27type_2epair_2eprod_27__02(c_27type_2elist_2elist_27__01(c_27type_2epair_2eprod_27__02(c_27type_2enum_2enum_27__00,c_27type_2ewordSem_2eword__loc_27__01(V_27A_27))),cfun__02(c_27type_2enum_2enum_27__00,cfun__02(c_27type_2enum_2enum_27__00,c_27type_2enum_2enum_27__00)))))),V__3),s__02(cfun__02(c_27type_2enum_2enum_27__00,cfun__02(c_27type_2enum_2enum_27__00,c_27type_2enum_2enum_27__00)),V_27permute_27))),s__02(cfun__02(c_27type_2enum_2enum_27__00,c_27type_2enum_2enum_27__00),V_27mover_27))),s__02(c_27type_2elist_2elist_27__01(c_27type_2epair_2eprod_27__02(c_27type_2enum_2enum_27__00,c_27type_2ewordSem_2eword__loc_27__01(V_27A_27))),c_27const_2esorting_2eQSORT_27__02(s__02(cfun__02(c_27type_2epair_2eprod_27__02(c_27type_2enum_2enum_27__00,c_27type_2ewordSem_2eword__loc_27__01(V_27A_27)),cfun__02(c_27type_2epair_2eprod_27__02(c_27type_2enum_2enum_27__00,c_27type_2ewordSem_2eword__loc_27__01(V_27A_27)),cbool__00)),c_27const_2ewordSem_2ekey__val__compare_27__00),s__02(c_27type_2elist_2elist_27__01(c_27type_2epair_2eprod_27__02(c_27type_2enum_2enum_27__00,c_27type_2ewordSem_2eword__loc_27__01(V_27A_27))),V_27l_27)))))
=> ! [V__1] :
( ! [V_27mover_27,V_27env_27,V_27permute_27] : s__02(c_27type_2epair_2eprod_27__02(c_27type_2elist_2elist_27__01(c_27type_2epair_2eprod_27__02(c_27type_2enum_2enum_27__00,c_27type_2ewordSem_2eword__loc_27__01(V_27A_27))),cfun__02(c_27type_2enum_2enum_27__00,cfun__02(c_27type_2enum_2enum_27__00,c_27type_2enum_2enum_27__00))),chapp__02(s__02(cfun__02(cfun__02(c_27type_2enum_2enum_27__00,cfun__02(c_27type_2enum_2enum_27__00,c_27type_2enum_2enum_27__00)),c_27type_2epair_2eprod_27__02(c_27type_2elist_2elist_27__01(c_27type_2epair_2eprod_27__02(c_27type_2enum_2enum_27__00,c_27type_2ewordSem_2eword__loc_27__01(V_27A_27))),cfun__02(c_27type_2enum_2enum_27__00,cfun__02(c_27type_2enum_2enum_27__00,c_27type_2enum_2enum_27__00)))),chapp__02(s__02(cfun__02(c_27type_2esptree_2espt_27__01(c_27type_2ewordSem_2eword__loc_27__01(V_27A_27)),cfun__02(cfun__02(c_27type_2enum_2enum_27__00,cfun__02(c_27type_2enum_2enum_27__00,c_27type_2enum_2enum_27__00)),c_27type_2epair_2eprod_27__02(c_27type_2elist_2elist_27__01(c_27type_2epair_2eprod_27__02(c_27type_2enum_2enum_27__00,c_27type_2ewordSem_2eword__loc_27__01(V_27A_27))),cfun__02(c_27type_2enum_2enum_27__00,cfun__02(c_27type_2enum_2enum_27__00,c_27type_2enum_2enum_27__00))))),chapp__02(s__02(cfun__02(cfun__02(c_27type_2enum_2enum_27__00,c_27type_2enum_2enum_27__00),cfun__02(c_27type_2esptree_2espt_27__01(c_27type_2ewordSem_2eword__loc_27__01(V_27A_27)),cfun__02(cfun__02(c_27type_2enum_2enum_27__00,cfun__02(c_27type_2enum_2enum_27__00,c_27type_2enum_2enum_27__00)),c_27type_2epair_2eprod_27__02(c_27type_2elist_2elist_27__01(c_27type_2epair_2eprod_27__02(c_27type_2enum_2enum_27__00,c_27type_2ewordSem_2eword__loc_27__01(V_27A_27))),cfun__02(c_27type_2enum_2enum_27__00,cfun__02(c_27type_2enum_2enum_27__00,c_27type_2enum_2enum_27__00)))))),V__1),s__02(cfun__02(c_27type_2enum_2enum_27__00,c_27type_2enum_2enum_27__00),V_27mover_27))),s__02(c_27type_2esptree_2espt_27__01(c_27type_2ewordSem_2eword__loc_27__01(V_27A_27)),V_27env_27))),s__02(cfun__02(c_27type_2enum_2enum_27__00,cfun__02(c_27type_2enum_2enum_27__00,c_27type_2enum_2enum_27__00)),V_27permute_27))) = s__02(c_27type_2epair_2eprod_27__02(c_27type_2elist_2elist_27__01(c_27type_2epair_2eprod_27__02(c_27type_2enum_2enum_27__00,c_27type_2ewordSem_2eword__loc_27__01(V_27A_27))),cfun__02(c_27type_2enum_2enum_27__00,cfun__02(c_27type_2enum_2enum_27__00,c_27type_2enum_2enum_27__00))),c_27const_2ebool_2eLET_27__02(s__02(cfun__02(c_27type_2elist_2elist_27__01(c_27type_2epair_2eprod_27__02(c_27type_2enum_2enum_27__00,c_27type_2ewordSem_2eword__loc_27__01(V_27A_27))),c_27type_2epair_2eprod_27__02(c_27type_2elist_2elist_27__01(c_27type_2epair_2eprod_27__02(c_27type_2enum_2enum_27__00,c_27type_2ewordSem_2eword__loc_27__01(V_27A_27))),cfun__02(c_27type_2enum_2enum_27__00,cfun__02(c_27type_2enum_2enum_27__00,c_27type_2enum_2enum_27__00)))),chapp__02(s__02(cfun__02(cfun__02(c_27type_2enum_2enum_27__00,c_27type_2enum_2enum_27__00),cfun__02(c_27type_2elist_2elist_27__01(c_27type_2epair_2eprod_27__02(c_27type_2enum_2enum_27__00,c_27type_2ewordSem_2eword__loc_27__01(V_27A_27))),c_27type_2epair_2eprod_27__02(c_27type_2elist_2elist_27__01(c_27type_2epair_2eprod_27__02(c_27type_2enum_2enum_27__00,c_27type_2ewordSem_2eword__loc_27__01(V_27A_27))),cfun__02(c_27type_2enum_2enum_27__00,cfun__02(c_27type_2enum_2enum_27__00,c_27type_2enum_2enum_27__00))))),chapp__02(s__02(cfun__02(cfun__02(c_27type_2enum_2enum_27__00,cfun__02(c_27type_2enum_2enum_27__00,c_27type_2enum_2enum_27__00)),cfun__02(cfun__02(c_27type_2enum_2enum_27__00,c_27type_2enum_2enum_27__00),cfun__02(c_27type_2elist_2elist_27__01(c_27type_2epair_2eprod_27__02(c_27type_2enum_2enum_27__00,c_27type_2ewordSem_2eword__loc_27__01(V_27A_27))),c_27type_2epair_2eprod_27__02(c_27type_2elist_2elist_27__01(c_27type_2epair_2eprod_27__02(c_27type_2enum_2enum_27__00,c_27type_2ewordSem_2eword__loc_27__01(V_27A_27))),cfun__02(c_27type_2enum_2enum_27__00,cfun__02(c_27type_2enum_2enum_27__00,c_27type_2enum_2enum_27__00)))))),V__2),s__02(cfun__02(c_27type_2enum_2enum_27__00,cfun__02(c_27type_2enum_2enum_27__00,c_27type_2enum_2enum_27__00)),V_27permute_27))),s__02(cfun__02(c_27type_2enum_2enum_27__00,c_27type_2enum_2enum_27__00),V_27mover_27))),s__02(c_27type_2elist_2elist_27__01(c_27type_2epair_2eprod_27__02(c_27type_2enum_2enum_27__00,c_27type_2ewordSem_2eword__loc_27__01(V_27A_27))),c_27const_2esptree_2etoAList_27__01(s__02(c_27type_2esptree_2espt_27__01(c_27type_2ewordSem_2eword__loc_27__01(V_27A_27)),V_27env_27)))))
=> ! [V__0] :
( ! [V_27env_27,V_27bij__seq_27,V_27mover_27] : s__02(c_27type_2epair_2eprod_27__02(c_27type_2elist_2elist_27__01(c_27type_2epair_2eprod_27__02(c_27type_2enum_2enum_27__00,c_27type_2ewordSem_2eword__loc_27__01(V_27A_27))),cfun__02(c_27type_2enum_2enum_27__00,cfun__02(c_27type_2enum_2enum_27__00,c_27type_2enum_2enum_27__00))),chapp__02(s__02(cfun__02(cfun__02(c_27type_2enum_2enum_27__00,c_27type_2enum_2enum_27__00),c_27type_2epair_2eprod_27__02(c_27type_2elist_2elist_27__01(c_27type_2epair_2eprod_27__02(c_27type_2enum_2enum_27__00,c_27type_2ewordSem_2eword__loc_27__01(V_27A_27))),cfun__02(c_27type_2enum_2enum_27__00,cfun__02(c_27type_2enum_2enum_27__00,c_27type_2enum_2enum_27__00)))),chapp__02(s__02(cfun__02(cfun__02(c_27type_2enum_2enum_27__00,cfun__02(c_27type_2enum_2enum_27__00,c_27type_2enum_2enum_27__00)),cfun__02(cfun__02(c_27type_2enum_2enum_27__00,c_27type_2enum_2enum_27__00),c_27type_2epair_2eprod_27__02(c_27type_2elist_2elist_27__01(c_27type_2epair_2eprod_27__02(c_27type_2enum_2enum_27__00,c_27type_2ewordSem_2eword__loc_27__01(V_27A_27))),cfun__02(c_27type_2enum_2enum_27__00,cfun__02(c_27type_2enum_2enum_27__00,c_27type_2enum_2enum_27__00))))),chapp__02(s__02(cfun__02(c_27type_2esptree_2espt_27__01(c_27type_2ewordSem_2eword__loc_27__01(V_27A_27)),cfun__02(cfun__02(c_27type_2enum_2enum_27__00,cfun__02(c_27type_2enum_2enum_27__00,c_27type_2enum_2enum_27__00)),cfun__02(cfun__02(c_27type_2enum_2enum_27__00,c_27type_2enum_2enum_27__00),c_27type_2epair_2eprod_27__02(c_27type_2elist_2elist_27__01(c_27type_2epair_2eprod_27__02(c_27type_2enum_2enum_27__00,c_27type_2ewordSem_2eword__loc_27__01(V_27A_27))),cfun__02(c_27type_2enum_2enum_27__00,cfun__02(c_27type_2enum_2enum_27__00,c_27type_2enum_2enum_27__00)))))),V__0),s__02(c_27type_2esptree_2espt_27__01(c_27type_2ewordSem_2eword__loc_27__01(V_27A_27)),V_27env_27))),s__02(cfun__02(c_27type_2enum_2enum_27__00,cfun__02(c_27type_2enum_2enum_27__00,c_27type_2enum_2enum_27__00)),V_27bij__seq_27))),s__02(cfun__02(c_27type_2enum_2enum_27__00,c_27type_2enum_2enum_27__00),V_27mover_27))) = s__02(c_27type_2epair_2eprod_27__02(c_27type_2elist_2elist_27__01(c_27type_2epair_2eprod_27__02(c_27type_2enum_2enum_27__00,c_27type_2ewordSem_2eword__loc_27__01(V_27A_27))),cfun__02(c_27type_2enum_2enum_27__00,cfun__02(c_27type_2enum_2enum_27__00,c_27type_2enum_2enum_27__00))),c_27const_2ebool_2eLET_27__02(s__02(cfun__02(cfun__02(c_27type_2enum_2enum_27__00,cfun__02(c_27type_2enum_2enum_27__00,c_27type_2enum_2enum_27__00)),c_27type_2epair_2eprod_27__02(c_27type_2elist_2elist_27__01(c_27type_2epair_2eprod_27__02(c_27type_2enum_2enum_27__00,c_27type_2ewordSem_2eword__loc_27__01(V_27A_27))),cfun__02(c_27type_2enum_2enum_27__00,cfun__02(c_27type_2enum_2enum_27__00,c_27type_2enum_2enum_27__00)))),chapp__02(s__02(cfun__02(c_27type_2esptree_2espt_27__01(c_27type_2ewordSem_2eword__loc_27__01(V_27A_27)),cfun__02(cfun__02(c_27type_2enum_2enum_27__00,cfun__02(c_27type_2enum_2enum_27__00,c_27type_2enum_2enum_27__00)),c_27type_2epair_2eprod_27__02(c_27type_2elist_2elist_27__01(c_27type_2epair_2eprod_27__02(c_27type_2enum_2enum_27__00,c_27type_2ewordSem_2eword__loc_27__01(V_27A_27))),cfun__02(c_27type_2enum_2enum_27__00,cfun__02(c_27type_2enum_2enum_27__00,c_27type_2enum_2enum_27__00))))),chapp__02(s__02(cfun__02(cfun__02(c_27type_2enum_2enum_27__00,c_27type_2enum_2enum_27__00),cfun__02(c_27type_2esptree_2espt_27__01(c_27type_2ewordSem_2eword__loc_27__01(V_27A_27)),cfun__02(cfun__02(c_27type_2enum_2enum_27__00,cfun__02(c_27type_2enum_2enum_27__00,c_27type_2enum_2enum_27__00)),c_27type_2epair_2eprod_27__02(c_27type_2elist_2elist_27__01(c_27type_2epair_2eprod_27__02(c_27type_2enum_2enum_27__00,c_27type_2ewordSem_2eword__loc_27__01(V_27A_27))),cfun__02(c_27type_2enum_2enum_27__00,cfun__02(c_27type_2enum_2enum_27__00,c_27type_2enum_2enum_27__00)))))),V__1),s__02(cfun__02(c_27type_2enum_2enum_27__00,c_27type_2enum_2enum_27__00),V_27mover_27))),s__02(c_27type_2esptree_2espt_27__01(c_27type_2ewordSem_2eword__loc_27__01(V_27A_27)),V_27env_27))),s__02(cfun__02(c_27type_2enum_2enum_27__00,cfun__02(c_27type_2enum_2enum_27__00,c_27type_2enum_2enum_27__00)),chapp__02(s__02(cfun__02(cfun__02(c_27type_2enum_2enum_27__00,cfun__02(c_27type_2enum_2enum_27__00,c_27type_2enum_2enum_27__00)),cfun__02(c_27type_2enum_2enum_27__00,cfun__02(c_27type_2enum_2enum_27__00,c_27type_2enum_2enum_27__00))),V__5),s__02(cfun__02(c_27type_2enum_2enum_27__00,cfun__02(c_27type_2enum_2enum_27__00,c_27type_2enum_2enum_27__00)),V_27bij__seq_27)))))
=> ! [V_27env_27,V_27bij__seq_27] : s__02(c_27type_2epair_2eprod_27__02(c_27type_2elist_2elist_27__01(c_27type_2epair_2eprod_27__02(c_27type_2enum_2enum_27__00,c_27type_2ewordSem_2eword__loc_27__01(V_27A_27))),cfun__02(c_27type_2enum_2enum_27__00,cfun__02(c_27type_2enum_2enum_27__00,c_27type_2enum_2enum_27__00))),c_27const_2ewordSem_2eenv__to__list_27__02(s__02(c_27type_2esptree_2espt_27__01(c_27type_2ewordSem_2eword__loc_27__01(V_27A_27)),V_27env_27),s__02(cfun__02(c_27type_2enum_2enum_27__00,cfun__02(c_27type_2enum_2enum_27__00,c_27type_2enum_2enum_27__00)),V_27bij__seq_27))) = s__02(c_27type_2epair_2eprod_27__02(c_27type_2elist_2elist_27__01(c_27type_2epair_2eprod_27__02(c_27type_2enum_2enum_27__00,c_27type_2ewordSem_2eword__loc_27__01(V_27A_27))),cfun__02(c_27type_2enum_2enum_27__00,cfun__02(c_27type_2enum_2enum_27__00,c_27type_2enum_2enum_27__00))),c_27const_2ebool_2eLET_27__02(s__02(cfun__02(cfun__02(c_27type_2enum_2enum_27__00,c_27type_2enum_2enum_27__00),c_27type_2epair_2eprod_27__02(c_27type_2elist_2elist_27__01(c_27type_2epair_2eprod_27__02(c_27type_2enum_2enum_27__00,c_27type_2ewordSem_2eword__loc_27__01(V_27A_27))),cfun__02(c_27type_2enum_2enum_27__00,cfun__02(c_27type_2enum_2enum_27__00,c_27type_2enum_2enum_27__00)))),chapp__02(s__02(cfun__02(cfun__02(c_27type_2enum_2enum_27__00,cfun__02(c_27type_2enum_2enum_27__00,c_27type_2enum_2enum_27__00)),cfun__02(cfun__02(c_27type_2enum_2enum_27__00,c_27type_2enum_2enum_27__00),c_27type_2epair_2eprod_27__02(c_27type_2elist_2elist_27__01(c_27type_2epair_2eprod_27__02(c_27type_2enum_2enum_27__00,c_27type_2ewordSem_2eword__loc_27__01(V_27A_27))),cfun__02(c_27type_2enum_2enum_27__00,cfun__02(c_27type_2enum_2enum_27__00,c_27type_2enum_2enum_27__00))))),chapp__02(s__02(cfun__02(c_27type_2esptree_2espt_27__01(c_27type_2ewordSem_2eword__loc_27__01(V_27A_27)),cfun__02(cfun__02(c_27type_2enum_2enum_27__00,cfun__02(c_27type_2enum_2enum_27__00,c_27type_2enum_2enum_27__00)),cfun__02(cfun__02(c_27type_2enum_2enum_27__00,c_27type_2enum_2enum_27__00),c_27type_2epair_2eprod_27__02(c_27type_2elist_2elist_27__01(c_27type_2epair_2eprod_27__02(c_27type_2enum_2enum_27__00,c_27type_2ewordSem_2eword__loc_27__01(V_27A_27))),cfun__02(c_27type_2enum_2enum_27__00,cfun__02(c_27type_2enum_2enum_27__00,c_27type_2enum_2enum_27__00)))))),V__0),s__02(c_27type_2esptree_2espt_27__01(c_27type_2ewordSem_2eword__loc_27__01(V_27A_27)),V_27env_27))),s__02(cfun__02(c_27type_2enum_2enum_27__00,cfun__02(c_27type_2enum_2enum_27__00,c_27type_2enum_2enum_27__00)),V_27bij__seq_27))),s__02(cfun__02(c_27type_2enum_2enum_27__00,c_27type_2enum_2enum_27__00),chapp__02(s__02(cfun__02(c_27type_2enum_2enum_27__00,cfun__02(c_27type_2enum_2enum_27__00,c_27type_2enum_2enum_27__00)),V_27bij__seq_27),s__02(c_27type_2enum_2enum_27__00,c_27const_2enum_2e0_27__00))))) ) ) ) ) ) ) ).
fof('thm.wordSem.push_env_def',axiom,
! [V_27A_27,V_27B_27,V_27C_27,V__4] :
( ! [V_27l_27,V_27permute_27,V_27s_27,V_27handler_27] : s__02(c_27type_2ewordSem_2estate_27__02(V_27B_27,V_27C_27),chapp__02(s__02(cfun__02(c_27type_2eoption_2eoption_27__01(c_27type_2epair_2eprod_27__02(c_27type_2enum_2enum_27__00,c_27type_2epair_2eprod_27__02(c_27type_2enum_2enum_27__00,c_27type_2enum_2enum_27__00))),c_27type_2ewordSem_2estate_27__02(V_27B_27,V_27C_27)),chapp__02(s__02(cfun__02(c_27type_2ewordSem_2estate_27__02(V_27B_27,V_27C_27),cfun__02(c_27type_2eoption_2eoption_27__01(c_27type_2epair_2eprod_27__02(c_27type_2enum_2enum_27__00,c_27type_2epair_2eprod_27__02(c_27type_2enum_2enum_27__00,c_27type_2enum_2enum_27__00))),c_27type_2ewordSem_2estate_27__02(V_27B_27,V_27C_27))),chapp__02(s__02(cfun__02(cfun__02(c_27type_2enum_2enum_27__00,cfun__02(c_27type_2enum_2enum_27__00,c_27type_2enum_2enum_27__00)),cfun__02(c_27type_2ewordSem_2estate_27__02(V_27B_27,V_27C_27),cfun__02(c_27type_2eoption_2eoption_27__01(c_27type_2epair_2eprod_27__02(c_27type_2enum_2enum_27__00,c_27type_2epair_2eprod_27__02(c_27type_2enum_2enum_27__00,c_27type_2enum_2enum_27__00))),c_27type_2ewordSem_2estate_27__02(V_27B_27,V_27C_27)))),chapp__02(s__02(cfun__02(c_27type_2elist_2elist_27__01(c_27type_2epair_2eprod_27__02(c_27type_2enum_2enum_27__00,c_27type_2ewordSem_2eword__loc_27__01(V_27B_27))),cfun__02(cfun__02(c_27type_2enum_2enum_27__00,cfun__02(c_27type_2enum_2enum_27__00,c_27type_2enum_2enum_27__00)),cfun__02(c_27type_2ewordSem_2estate_27__02(V_27B_27,V_27C_27),cfun__02(c_27type_2eoption_2eoption_27__01(c_27type_2epair_2eprod_27__02(c_27type_2enum_2enum_27__00,c_27type_2epair_2eprod_27__02(c_27type_2enum_2enum_27__00,c_27type_2enum_2enum_27__00))),c_27type_2ewordSem_2estate_27__02(V_27B_27,V_27C_27))))),V__4),s__02(c_27type_2elist_2elist_27__01(c_27type_2epair_2eprod_27__02(c_27type_2enum_2enum_27__00,c_27type_2ewordSem_2eword__loc_27__01(V_27B_27))),V_27l_27))),s__02(cfun__02(c_27type_2enum_2enum_27__00,cfun__02(c_27type_2enum_2enum_27__00,c_27type_2enum_2enum_27__00)),V_27permute_27))),s__02(c_27type_2ewordSem_2estate_27__02(V_27B_27,V_27C_27),V_27s_27))),s__02(c_27type_2eoption_2eoption_27__01(c_27type_2epair_2eprod_27__02(c_27type_2enum_2enum_27__00,c_27type_2epair_2eprod_27__02(c_27type_2enum_2enum_27__00,c_27type_2enum_2enum_27__00))),V_27handler_27))) = s__02(c_27type_2ewordSem_2estate_27__02(V_27B_27,V_27C_27),c_27const_2ewordSem_2estate__stack__fupd_27__02(s__02(cfun__02(c_27type_2elist_2elist_27__01(c_27type_2ewordSem_2estack__frame_27__01(V_27B_27)),c_27type_2elist_2elist_27__01(c_27type_2ewordSem_2estack__frame_27__01(V_27B_27))),c_27const_2ecombin_2eK_27__01(s__02(c_27type_2elist_2elist_27__01(c_27type_2ewordSem_2estack__frame_27__01(V_27B_27)),c_27const_2elist_2eCONS_27__02(s__02(c_27type_2ewordSem_2estack__frame_27__01(V_27B_27),c_27const_2ewordSem_2eStackFrame_27__02(s__02(c_27type_2elist_2elist_27__01(c_27type_2epair_2eprod_27__02(c_27type_2enum_2enum_27__00,c_27type_2ewordSem_2eword__loc_27__01(V_27B_27))),V_27l_27),s__02(c_27type_2eoption_2eoption_27__01(c_27type_2epair_2eprod_27__02(c_27type_2enum_2enum_27__00,c_27type_2epair_2eprod_27__02(c_27type_2enum_2enum_27__00,c_27type_2enum_2enum_27__00))),V_27handler_27))),s__02(c_27type_2elist_2elist_27__01(c_27type_2ewordSem_2estack__frame_27__01(V_27B_27)),c_27const_2ewordSem_2estate__stack_27__01(s__02(c_27type_2ewordSem_2estate_27__02(V_27B_27,V_27C_27),V_27s_27))))))),s__02(c_27type_2ewordSem_2estate_27__02(V_27B_27,V_27C_27),c_27const_2ewordSem_2estate__permute__fupd_27__02(s__02(cfun__02(cfun__02(c_27type_2enum_2enum_27__00,cfun__02(c_27type_2enum_2enum_27__00,c_27type_2enum_2enum_27__00)),cfun__02(c_27type_2enum_2enum_27__00,cfun__02(c_27type_2enum_2enum_27__00,c_27type_2enum_2enum_27__00))),c_27const_2ecombin_2eK_27__01(s__02(cfun__02(c_27type_2enum_2enum_27__00,cfun__02(c_27type_2enum_2enum_27__00,c_27type_2enum_2enum_27__00)),V_27permute_27))),s__02(c_27type_2ewordSem_2estate_27__02(V_27B_27,V_27C_27),c_27const_2ewordSem_2estate__handler__fupd_27__02(s__02(cfun__02(c_27type_2enum_2enum_27__00,c_27type_2enum_2enum_27__00),c_27const_2ecombin_2eK_27__01(s__02(c_27type_2enum_2enum_27__00,c_27const_2elist_2eLENGTH_27__01(s__02(c_27type_2elist_2elist_27__01(c_27type_2ewordSem_2estack__frame_27__01(V_27B_27)),c_27const_2ewordSem_2estate__stack_27__01(s__02(c_27type_2ewordSem_2estate_27__02(V_27B_27,V_27C_27),V_27s_27))))))),s__02(c_27type_2ewordSem_2estate_27__02(V_27B_27,V_27C_27),V_27s_27)))))))
=> ! [V__3] :
( ! [V_27l_27,V_27s_27,V_27l1_27,V_27l2_27,V_27permute_27] : s__02(c_27type_2ewordSem_2estate_27__02(V_27B_27,V_27C_27),chapp__02(s__02(cfun__02(cfun__02(c_27type_2enum_2enum_27__00,cfun__02(c_27type_2enum_2enum_27__00,c_27type_2enum_2enum_27__00)),c_27type_2ewordSem_2estate_27__02(V_27B_27,V_27C_27)),chapp__02(s__02(cfun__02(c_27type_2enum_2enum_27__00,cfun__02(cfun__02(c_27type_2enum_2enum_27__00,cfun__02(c_27type_2enum_2enum_27__00,c_27type_2enum_2enum_27__00)),c_27type_2ewordSem_2estate_27__02(V_27B_27,V_27C_27))),chapp__02(s__02(cfun__02(c_27type_2enum_2enum_27__00,cfun__02(c_27type_2enum_2enum_27__00,cfun__02(cfun__02(c_27type_2enum_2enum_27__00,cfun__02(c_27type_2enum_2enum_27__00,c_27type_2enum_2enum_27__00)),c_27type_2ewordSem_2estate_27__02(V_27B_27,V_27C_27)))),chapp__02(s__02(cfun__02(c_27type_2ewordSem_2estate_27__02(V_27B_27,V_27C_27),cfun__02(c_27type_2enum_2enum_27__00,cfun__02(c_27type_2enum_2enum_27__00,cfun__02(cfun__02(c_27type_2enum_2enum_27__00,cfun__02(c_27type_2enum_2enum_27__00,c_27type_2enum_2enum_27__00)),c_27type_2ewordSem_2estate_27__02(V_27B_27,V_27C_27))))),chapp__02(s__02(cfun__02(c_27type_2elist_2elist_27__01(c_27type_2epair_2eprod_27__02(c_27type_2enum_2enum_27__00,c_27type_2ewordSem_2eword__loc_27__01(V_27B_27))),cfun__02(c_27type_2ewordSem_2estate_27__02(V_27B_27,V_27C_27),cfun__02(c_27type_2enum_2enum_27__00,cfun__02(c_27type_2enum_2enum_27__00,cfun__02(cfun__02(c_27type_2enum_2enum_27__00,cfun__02(c_27type_2enum_2enum_27__00,c_27type_2enum_2enum_27__00)),c_27type_2ewordSem_2estate_27__02(V_27B_27,V_27C_27)))))),V__3),s__02(c_27type_2elist_2elist_27__01(c_27type_2epair_2eprod_27__02(c_27type_2enum_2enum_27__00,c_27type_2ewordSem_2eword__loc_27__01(V_27B_27))),V_27l_27))),s__02(c_27type_2ewordSem_2estate_27__02(V_27B_27,V_27C_27),V_27s_27))),s__02(c_27type_2enum_2enum_27__00,V_27l1_27))),s__02(c_27type_2enum_2enum_27__00,V_27l2_27))),s__02(cfun__02(c_27type_2enum_2enum_27__00,cfun__02(c_27type_2enum_2enum_27__00,c_27type_2enum_2enum_27__00)),V_27permute_27))) = s__02(c_27type_2ewordSem_2estate_27__02(V_27B_27,V_27C_27),c_27const_2ebool_2eLET_27__02(s__02(cfun__02(c_27type_2eoption_2eoption_27__01(c_27type_2epair_2eprod_27__02(c_27type_2enum_2enum_27__00,c_27type_2epair_2eprod_27__02(c_27type_2enum_2enum_27__00,c_27type_2enum_2enum_27__00))),c_27type_2ewordSem_2estate_27__02(V_27B_27,V_27C_27)),chapp__02(s__02(cfun__02(c_27type_2ewordSem_2estate_27__02(V_27B_27,V_27C_27),cfun__02(c_27type_2eoption_2eoption_27__01(c_27type_2epair_2eprod_27__02(c_27type_2enum_2enum_27__00,c_27type_2epair_2eprod_27__02(c_27type_2enum_2enum_27__00,c_27type_2enum_2enum_27__00))),c_27type_2ewordSem_2estate_27__02(V_27B_27,V_27C_27))),chapp__02(s__02(cfun__02(cfun__02(c_27type_2enum_2enum_27__00,cfun__02(c_27type_2enum_2enum_27__00,c_27type_2enum_2enum_27__00)),cfun__02(c_27type_2ewordSem_2estate_27__02(V_27B_27,V_27C_27),cfun__02(c_27type_2eoption_2eoption_27__01(c_27type_2epair_2eprod_27__02(c_27type_2enum_2enum_27__00,c_27type_2epair_2eprod_27__02(c_27type_2enum_2enum_27__00,c_27type_2enum_2enum_27__00))),c_27type_2ewordSem_2estate_27__02(V_27B_27,V_27C_27)))),chapp__02(s__02(cfun__02(c_27type_2elist_2elist_27__01(c_27type_2epair_2eprod_27__02(c_27type_2enum_2enum_27__00,c_27type_2ewordSem_2eword__loc_27__01(V_27B_27))),cfun__02(cfun__02(c_27type_2enum_2enum_27__00,cfun__02(c_27type_2enum_2enum_27__00,c_27type_2enum_2enum_27__00)),cfun__02(c_27type_2ewordSem_2estate_27__02(V_27B_27,V_27C_27),cfun__02(c_27type_2eoption_2eoption_27__01(c_27type_2epair_2eprod_27__02(c_27type_2enum_2enum_27__00,c_27type_2epair_2eprod_27__02(c_27type_2enum_2enum_27__00,c_27type_2enum_2enum_27__00))),c_27type_2ewordSem_2estate_27__02(V_27B_27,V_27C_27))))),V__4),s__02(c_27type_2elist_2elist_27__01(c_27type_2epair_2eprod_27__02(c_27type_2enum_2enum_27__00,c_27type_2ewordSem_2eword__loc_27__01(V_27B_27))),V_27l_27))),s__02(cfun__02(c_27type_2enum_2enum_27__00,cfun__02(c_27type_2enum_2enum_27__00,c_27type_2enum_2enum_27__00)),V_27permute_27))),s__02(c_27type_2ewordSem_2estate_27__02(V_27B_27,V_27C_27),V_27s_27))),s__02(c_27type_2eoption_2eoption_27__01(c_27type_2epair_2eprod_27__02(c_27type_2enum_2enum_27__00,c_27type_2epair_2eprod_27__02(c_27type_2enum_2enum_27__00,c_27type_2enum_2enum_27__00))),c_27const_2eoption_2eSOME_27__01(s__02(c_27type_2epair_2eprod_27__02(c_27type_2enum_2enum_27__00,c_27type_2epair_2eprod_27__02(c_27type_2enum_2enum_27__00,c_27type_2enum_2enum_27__00)),c_27const_2epair_2e_2c_27__02(s__02(c_27type_2enum_2enum_27__00,c_27const_2ewordSem_2estate__handler_27__01(s__02(c_27type_2ewordSem_2estate_27__02(V_27B_27,V_27C_27),V_27s_27))),s__02(c_27type_2epair_2eprod_27__02(c_27type_2enum_2enum_27__00,c_27type_2enum_2enum_27__00),c_27const_2epair_2e_2c_27__02(s__02(c_27type_2enum_2enum_27__00,V_27l1_27),s__02(c_27type_2enum_2enum_27__00,V_27l2_27)))))))))
=> ! [V__2] :
( ! [V_27s_27,V_27l1_27,V_27l2_27,V_27l_27] : s__02(cfun__02(cfun__02(c_27type_2enum_2enum_27__00,cfun__02(c_27type_2enum_2enum_27__00,c_27type_2enum_2enum_27__00)),c_27type_2ewordSem_2estate_27__02(V_27B_27,V_27C_27)),chapp__02(s__02(cfun__02(c_27type_2elist_2elist_27__01(c_27type_2epair_2eprod_27__02(c_27type_2enum_2enum_27__00,c_27type_2ewordSem_2eword__loc_27__01(V_27B_27))),cfun__02(cfun__02(c_27type_2enum_2enum_27__00,cfun__02(c_27type_2enum_2enum_27__00,c_27type_2enum_2enum_27__00)),c_27type_2ewordSem_2estate_27__02(V_27B_27,V_27C_27))),chapp__02(s__02(cfun__02(c_27type_2enum_2enum_27__00,cfun__02(c_27type_2elist_2elist_27__01(c_27type_2epair_2eprod_27__02(c_27type_2enum_2enum_27__00,c_27type_2ewordSem_2eword__loc_27__01(V_27B_27))),cfun__02(cfun__02(c_27type_2enum_2enum_27__00,cfun__02(c_27type_2enum_2enum_27__00,c_27type_2enum_2enum_27__00)),c_27type_2ewordSem_2estate_27__02(V_27B_27,V_27C_27)))),chapp__02(s__02(cfun__02(c_27type_2enum_2enum_27__00,cfun__02(c_27type_2enum_2enum_27__00,cfun__02(c_27type_2elist_2elist_27__01(c_27type_2epair_2eprod_27__02(c_27type_2enum_2enum_27__00,c_27type_2ewordSem_2eword__loc_27__01(V_27B_27))),cfun__02(cfun__02(c_27type_2enum_2enum_27__00,cfun__02(c_27type_2enum_2enum_27__00,c_27type_2enum_2enum_27__00)),c_27type_2ewordSem_2estate_27__02(V_27B_27,V_27C_27))))),chapp__02(s__02(cfun__02(c_27type_2ewordSem_2estate_27__02(V_27B_27,V_27C_27),cfun__02(c_27type_2enum_2enum_27__00,cfun__02(c_27type_2enum_2enum_27__00,cfun__02(c_27type_2elist_2elist_27__01(c_27type_2epair_2eprod_27__02(c_27type_2enum_2enum_27__00,c_27type_2ewordSem_2eword__loc_27__01(V_27B_27))),cfun__02(cfun__02(c_27type_2enum_2enum_27__00,cfun__02(c_27type_2enum_2enum_27__00,c_27type_2enum_2enum_27__00)),c_27type_2ewordSem_2estate_27__02(V_27B_27,V_27C_27)))))),V__2),s__02(c_27type_2ewordSem_2estate_27__02(V_27B_27,V_27C_27),V_27s_27))),s__02(c_27type_2enum_2enum_27__00,V_27l1_27))),s__02(c_27type_2enum_2enum_27__00,V_27l2_27))),s__02(c_27type_2elist_2elist_27__01(c_27type_2epair_2eprod_27__02(c_27type_2enum_2enum_27__00,c_27type_2ewordSem_2eword__loc_27__01(V_27B_27))),V_27l_27))) = s__02(cfun__02(cfun__02(c_27type_2enum_2enum_27__00,cfun__02(c_27type_2enum_2enum_27__00,c_27type_2enum_2enum_27__00)),c_27type_2ewordSem_2estate_27__02(V_27B_27,V_27C_27)),chapp__02(s__02(cfun__02(c_27type_2enum_2enum_27__00,cfun__02(cfun__02(c_27type_2enum_2enum_27__00,cfun__02(c_27type_2enum_2enum_27__00,c_27type_2enum_2enum_27__00)),c_27type_2ewordSem_2estate_27__02(V_27B_27,V_27C_27))),chapp__02(s__02(cfun__02(c_27type_2enum_2enum_27__00,cfun__02(c_27type_2enum_2enum_27__00,cfun__02(cfun__02(c_27type_2enum_2enum_27__00,cfun__02(c_27type_2enum_2enum_27__00,c_27type_2enum_2enum_27__00)),c_27type_2ewordSem_2estate_27__02(V_27B_27,V_27C_27)))),chapp__02(s__02(cfun__02(c_27type_2ewordSem_2estate_27__02(V_27B_27,V_27C_27),cfun__02(c_27type_2enum_2enum_27__00,cfun__02(c_27type_2enum_2enum_27__00,cfun__02(cfun__02(c_27type_2enum_2enum_27__00,cfun__02(c_27type_2enum_2enum_27__00,c_27type_2enum_2enum_27__00)),c_27type_2ewordSem_2estate_27__02(V_27B_27,V_27C_27))))),chapp__02(s__02(cfun__02(c_27type_2elist_2elist_27__01(c_27type_2epair_2eprod_27__02(c_27type_2enum_2enum_27__00,c_27type_2ewordSem_2eword__loc_27__01(V_27B_27))),cfun__02(c_27type_2ewordSem_2estate_27__02(V_27B_27,V_27C_27),cfun__02(c_27type_2enum_2enum_27__00,cfun__02(c_27type_2enum_2enum_27__00,cfun__02(cfun__02(c_27type_2enum_2enum_27__00,cfun__02(c_27type_2enum_2enum_27__00,c_27type_2enum_2enum_27__00)),c_27type_2ewordSem_2estate_27__02(V_27B_27,V_27C_27)))))),V__3),s__02(c_27type_2elist_2elist_27__01(c_27type_2epair_2eprod_27__02(c_27type_2enum_2enum_27__00,c_27type_2ewordSem_2eword__loc_27__01(V_27B_27))),V_27l_27))),s__02(c_27type_2ewordSem_2estate_27__02(V_27B_27,V_27C_27),V_27s_27))),s__02(c_27type_2enum_2enum_27__00,V_27l1_27))),s__02(c_27type_2enum_2enum_27__00,V_27l2_27)))
=> ! [V__1] :
( ! [V_27l_27,V_27s_27,V_27permute_27] : s__02(c_27type_2ewordSem_2estate_27__02(V_27B_27,V_27C_27),chapp__02(s__02(cfun__02(cfun__02(c_27type_2enum_2enum_27__00,cfun__02(c_27type_2enum_2enum_27__00,c_27type_2enum_2enum_27__00)),c_27type_2ewordSem_2estate_27__02(V_27B_27,V_27C_27)),chapp__02(s__02(cfun__02(c_27type_2ewordSem_2estate_27__02(V_27B_27,V_27C_27),cfun__02(cfun__02(c_27type_2enum_2enum_27__00,cfun__02(c_27type_2enum_2enum_27__00,c_27type_2enum_2enum_27__00)),c_27type_2ewordSem_2estate_27__02(V_27B_27,V_27C_27))),chapp__02(s__02(cfun__02(c_27type_2elist_2elist_27__01(c_27type_2epair_2eprod_27__02(c_27type_2enum_2enum_27__00,c_27type_2ewordSem_2eword__loc_27__01(V_27B_27))),cfun__02(c_27type_2ewordSem_2estate_27__02(V_27B_27,V_27C_27),cfun__02(cfun__02(c_27type_2enum_2enum_27__00,cfun__02(c_27type_2enum_2enum_27__00,c_27type_2enum_2enum_27__00)),c_27type_2ewordSem_2estate_27__02(V_27B_27,V_27C_27)))),V__1),s__02(c_27type_2elist_2elist_27__01(c_27type_2epair_2eprod_27__02(c_27type_2enum_2enum_27__00,c_27type_2ewordSem_2eword__loc_27__01(V_27B_27))),V_27l_27))),s__02(c_27type_2ewordSem_2estate_27__02(V_27B_27,V_27C_27),V_27s_27))),s__02(cfun__02(c_27type_2enum_2enum_27__00,cfun__02(c_27type_2enum_2enum_27__00,c_27type_2enum_2enum_27__00)),V_27permute_27))) = s__02(c_27type_2ewordSem_2estate_27__02(V_27B_27,V_27C_27),c_27const_2ewordSem_2estate__stack__fupd_27__02(s__02(cfun__02(c_27type_2elist_2elist_27__01(c_27type_2ewordSem_2estack__frame_27__01(V_27B_27)),c_27type_2elist_2elist_27__01(c_27type_2ewordSem_2estack__frame_27__01(V_27B_27))),c_27const_2ecombin_2eK_27__01(s__02(c_27type_2elist_2elist_27__01(c_27type_2ewordSem_2estack__frame_27__01(V_27B_27)),c_27const_2elist_2eCONS_27__02(s__02(c_27type_2ewordSem_2estack__frame_27__01(V_27B_27),c_27const_2ewordSem_2eStackFrame_27__02(s__02(c_27type_2elist_2elist_27__01(c_27type_2epair_2eprod_27__02(c_27type_2enum_2enum_27__00,c_27type_2ewordSem_2eword__loc_27__01(V_27B_27))),V_27l_27),s__02(c_27type_2eoption_2eoption_27__01(c_27type_2epair_2eprod_27__02(c_27type_2enum_2enum_27__00,c_27type_2epair_2eprod_27__02(c_27type_2enum_2enum_27__00,c_27type_2enum_2enum_27__00))),c_27const_2eoption_2eNONE_27__00))),s__02(c_27type_2elist_2elist_27__01(c_27type_2ewordSem_2estack__frame_27__01(V_27B_27)),c_27const_2ewordSem_2estate__stack_27__01(s__02(c_27type_2ewordSem_2estate_27__02(V_27B_27,V_27C_27),V_27s_27))))))),s__02(c_27type_2ewordSem_2estate_27__02(V_27B_27,V_27C_27),c_27const_2ewordSem_2estate__permute__fupd_27__02(s__02(cfun__02(cfun__02(c_27type_2enum_2enum_27__00,cfun__02(c_27type_2enum_2enum_27__00,c_27type_2enum_2enum_27__00)),cfun__02(c_27type_2enum_2enum_27__00,cfun__02(c_27type_2enum_2enum_27__00,c_27type_2enum_2enum_27__00))),c_27const_2ecombin_2eK_27__01(s__02(cfun__02(c_27type_2enum_2enum_27__00,cfun__02(c_27type_2enum_2enum_27__00,c_27type_2enum_2enum_27__00)),V_27permute_27))),s__02(c_27type_2ewordSem_2estate_27__02(V_27B_27,V_27C_27),V_27s_27)))))
=> ! [V__0] :
( ! [V_27s_27,V_27l_27] : s__02(cfun__02(cfun__02(c_27type_2enum_2enum_27__00,cfun__02(c_27type_2enum_2enum_27__00,c_27type_2enum_2enum_27__00)),c_27type_2ewordSem_2estate_27__02(V_27B_27,V_27C_27)),chapp__02(s__02(cfun__02(c_27type_2elist_2elist_27__01(c_27type_2epair_2eprod_27__02(c_27type_2enum_2enum_27__00,c_27type_2ewordSem_2eword__loc_27__01(V_27B_27))),cfun__02(cfun__02(c_27type_2enum_2enum_27__00,cfun__02(c_27type_2enum_2enum_27__00,c_27type_2enum_2enum_27__00)),c_27type_2ewordSem_2estate_27__02(V_27B_27,V_27C_27))),chapp__02(s__02(cfun__02(c_27type_2ewordSem_2estate_27__02(V_27B_27,V_27C_27),cfun__02(c_27type_2elist_2elist_27__01(c_27type_2epair_2eprod_27__02(c_27type_2enum_2enum_27__00,c_27type_2ewordSem_2eword__loc_27__01(V_27B_27))),cfun__02(cfun__02(c_27type_2enum_2enum_27__00,cfun__02(c_27type_2enum_2enum_27__00,c_27type_2enum_2enum_27__00)),c_27type_2ewordSem_2estate_27__02(V_27B_27,V_27C_27)))),V__0),s__02(c_27type_2ewordSem_2estate_27__02(V_27B_27,V_27C_27),V_27s_27))),s__02(c_27type_2elist_2elist_27__01(c_27type_2epair_2eprod_27__02(c_27type_2enum_2enum_27__00,c_27type_2ewordSem_2eword__loc_27__01(V_27B_27))),V_27l_27))) = s__02(cfun__02(cfun__02(c_27type_2enum_2enum_27__00,cfun__02(c_27type_2enum_2enum_27__00,c_27type_2enum_2enum_27__00)),c_27type_2ewordSem_2estate_27__02(V_27B_27,V_27C_27)),chapp__02(s__02(cfun__02(c_27type_2ewordSem_2estate_27__02(V_27B_27,V_27C_27),cfun__02(cfun__02(c_27type_2enum_2enum_27__00,cfun__02(c_27type_2enum_2enum_27__00,c_27type_2enum_2enum_27__00)),c_27type_2ewordSem_2estate_27__02(V_27B_27,V_27C_27))),chapp__02(s__02(cfun__02(c_27type_2elist_2elist_27__01(c_27type_2epair_2eprod_27__02(c_27type_2enum_2enum_27__00,c_27type_2ewordSem_2eword__loc_27__01(V_27B_27))),cfun__02(c_27type_2ewordSem_2estate_27__02(V_27B_27,V_27C_27),cfun__02(cfun__02(c_27type_2enum_2enum_27__00,cfun__02(c_27type_2enum_2enum_27__00,c_27type_2enum_2enum_27__00)),c_27type_2ewordSem_2estate_27__02(V_27B_27,V_27C_27)))),V__1),s__02(c_27type_2elist_2elist_27__01(c_27type_2epair_2eprod_27__02(c_27type_2enum_2enum_27__00,c_27type_2ewordSem_2eword__loc_27__01(V_27B_27))),V_27l_27))),s__02(c_27type_2ewordSem_2estate_27__02(V_27B_27,V_27C_27),V_27s_27)))
=> ! [V_27w_27,V_27s_27,V_27l2_27,V_27l1_27,V_27h_27,V_27env_27] :
( s__02(c_27type_2ewordSem_2estate_27__02(V_27B_27,V_27C_27),c_27const_2ewordSem_2epush__env_27__03(s__02(c_27type_2esptree_2espt_27__01(c_27type_2ewordSem_2eword__loc_27__01(V_27B_27)),V_27env_27),s__02(c_27type_2eoption_2eoption_27__01(c_27type_2epair_2eprod_27__02(c_27type_2enum_2enum_27__00,c_27type_2epair_2eprod_27__02(c_27type_2ewordLang_2eprog_27__01(V_27A_27),c_27type_2epair_2eprod_27__02(c_27type_2enum_2enum_27__00,c_27type_2enum_2enum_27__00)))),c_27const_2eoption_2eNONE_27__00),s__02(c_27type_2ewordSem_2estate_27__02(V_27B_27,V_27C_27),V_27s_27))) = s__02(c_27type_2ewordSem_2estate_27__02(V_27B_27,V_27C_27),c_27const_2ebool_2eLET_27__02(s__02(cfun__02(c_27type_2epair_2eprod_27__02(c_27type_2elist_2elist_27__01(c_27type_2epair_2eprod_27__02(c_27type_2enum_2enum_27__00,c_27type_2ewordSem_2eword__loc_27__01(V_27B_27))),cfun__02(c_27type_2enum_2enum_27__00,cfun__02(c_27type_2enum_2enum_27__00,c_27type_2enum_2enum_27__00))),c_27type_2ewordSem_2estate_27__02(V_27B_27,V_27C_27)),c_27const_2epair_2eUNCURRY_27__01(s__02(cfun__02(c_27type_2elist_2elist_27__01(c_27type_2epair_2eprod_27__02(c_27type_2enum_2enum_27__00,c_27type_2ewordSem_2eword__loc_27__01(V_27B_27))),cfun__02(cfun__02(c_27type_2enum_2enum_27__00,cfun__02(c_27type_2enum_2enum_27__00,c_27type_2enum_2enum_27__00)),c_27type_2ewordSem_2estate_27__02(V_27B_27,V_27C_27))),chapp__02(s__02(cfun__02(c_27type_2ewordSem_2estate_27__02(V_27B_27,V_27C_27),cfun__02(c_27type_2elist_2elist_27__01(c_27type_2epair_2eprod_27__02(c_27type_2enum_2enum_27__00,c_27type_2ewordSem_2eword__loc_27__01(V_27B_27))),cfun__02(cfun__02(c_27type_2enum_2enum_27__00,cfun__02(c_27type_2enum_2enum_27__00,c_27type_2enum_2enum_27__00)),c_27type_2ewordSem_2estate_27__02(V_27B_27,V_27C_27)))),V__0),s__02(c_27type_2ewordSem_2estate_27__02(V_27B_27,V_27C_27),V_27s_27))))),s__02(c_27type_2epair_2eprod_27__02(c_27type_2elist_2elist_27__01(c_27type_2epair_2eprod_27__02(c_27type_2enum_2enum_27__00,c_27type_2ewordSem_2eword__loc_27__01(V_27B_27))),cfun__02(c_27type_2enum_2enum_27__00,cfun__02(c_27type_2enum_2enum_27__00,c_27type_2enum_2enum_27__00))),c_27const_2ewordSem_2eenv__to__list_27__02(s__02(c_27type_2esptree_2espt_27__01(c_27type_2ewordSem_2eword__loc_27__01(V_27B_27)),V_27env_27),s__02(cfun__02(c_27type_2enum_2enum_27__00,cfun__02(c_27type_2enum_2enum_27__00,c_27type_2enum_2enum_27__00)),c_27const_2ewordSem_2estate__permute_27__01(s__02(c_27type_2ewordSem_2estate_27__02(V_27B_27,V_27C_27),V_27s_27)))))))
& s__02(c_27type_2ewordSem_2estate_27__02(V_27B_27,V_27C_27),c_27const_2ewordSem_2epush__env_27__03(s__02(c_27type_2esptree_2espt_27__01(c_27type_2ewordSem_2eword__loc_27__01(V_27B_27)),V_27env_27),s__02(c_27type_2eoption_2eoption_27__01(c_27type_2epair_2eprod_27__02(c_27type_2enum_2enum_27__00,c_27type_2epair_2eprod_27__02(c_27type_2ewordLang_2eprog_27__01(V_27A_27),c_27type_2epair_2eprod_27__02(c_27type_2enum_2enum_27__00,c_27type_2enum_2enum_27__00)))),c_27const_2eoption_2eSOME_27__01(s__02(c_27type_2epair_2eprod_27__02(c_27type_2enum_2enum_27__00,c_27type_2epair_2eprod_27__02(c_27type_2ewordLang_2eprog_27__01(V_27A_27),c_27type_2epair_2eprod_27__02(c_27type_2enum_2enum_27__00,c_27type_2enum_2enum_27__00))),c_27const_2epair_2e_2c_27__02(s__02(c_27type_2enum_2enum_27__00,V_27w_27),s__02(c_27type_2epair_2eprod_27__02(c_27type_2ewordLang_2eprog_27__01(V_27A_27),c_27type_2epair_2eprod_27__02(c_27type_2enum_2enum_27__00,c_27type_2enum_2enum_27__00)),c_27const_2epair_2e_2c_27__02(s__02(c_27type_2ewordLang_2eprog_27__01(V_27A_27),V_27h_27),s__02(c_27type_2epair_2eprod_27__02(c_27type_2enum_2enum_27__00,c_27type_2enum_2enum_27__00),c_27const_2epair_2e_2c_27__02(s__02(c_27type_2enum_2enum_27__00,V_27l1_27),s__02(c_27type_2enum_2enum_27__00,V_27l2_27))))))))),s__02(c_27type_2ewordSem_2estate_27__02(V_27B_27,V_27C_27),V_27s_27))) = s__02(c_27type_2ewordSem_2estate_27__02(V_27B_27,V_27C_27),c_27const_2ebool_2eLET_27__02(s__02(cfun__02(c_27type_2epair_2eprod_27__02(c_27type_2elist_2elist_27__01(c_27type_2epair_2eprod_27__02(c_27type_2enum_2enum_27__00,c_27type_2ewordSem_2eword__loc_27__01(V_27B_27))),cfun__02(c_27type_2enum_2enum_27__00,cfun__02(c_27type_2enum_2enum_27__00,c_27type_2enum_2enum_27__00))),c_27type_2ewordSem_2estate_27__02(V_27B_27,V_27C_27)),c_27const_2epair_2eUNCURRY_27__01(s__02(cfun__02(c_27type_2elist_2elist_27__01(c_27type_2epair_2eprod_27__02(c_27type_2enum_2enum_27__00,c_27type_2ewordSem_2eword__loc_27__01(V_27B_27))),cfun__02(cfun__02(c_27type_2enum_2enum_27__00,cfun__02(c_27type_2enum_2enum_27__00,c_27type_2enum_2enum_27__00)),c_27type_2ewordSem_2estate_27__02(V_27B_27,V_27C_27))),chapp__02(s__02(cfun__02(c_27type_2enum_2enum_27__00,cfun__02(c_27type_2elist_2elist_27__01(c_27type_2epair_2eprod_27__02(c_27type_2enum_2enum_27__00,c_27type_2ewordSem_2eword__loc_27__01(V_27B_27))),cfun__02(cfun__02(c_27type_2enum_2enum_27__00,cfun__02(c_27type_2enum_2enum_27__00,c_27type_2enum_2enum_27__00)),c_27type_2ewordSem_2estate_27__02(V_27B_27,V_27C_27)))),chapp__02(s__02(cfun__02(c_27type_2enum_2enum_27__00,cfun__02(c_27type_2enum_2enum_27__00,cfun__02(c_27type_2elist_2elist_27__01(c_27type_2epair_2eprod_27__02(c_27type_2enum_2enum_27__00,c_27type_2ewordSem_2eword__loc_27__01(V_27B_27))),cfun__02(cfun__02(c_27type_2enum_2enum_27__00,cfun__02(c_27type_2enum_2enum_27__00,c_27type_2enum_2enum_27__00)),c_27type_2ewordSem_2estate_27__02(V_27B_27,V_27C_27))))),chapp__02(s__02(cfun__02(c_27type_2ewordSem_2estate_27__02(V_27B_27,V_27C_27),cfun__02(c_27type_2enum_2enum_27__00,cfun__02(c_27type_2enum_2enum_27__00,cfun__02(c_27type_2elist_2elist_27__01(c_27type_2epair_2eprod_27__02(c_27type_2enum_2enum_27__00,c_27type_2ewordSem_2eword__loc_27__01(V_27B_27))),cfun__02(cfun__02(c_27type_2enum_2enum_27__00,cfun__02(c_27type_2enum_2enum_27__00,c_27type_2enum_2enum_27__00)),c_27type_2ewordSem_2estate_27__02(V_27B_27,V_27C_27)))))),V__2),s__02(c_27type_2ewordSem_2estate_27__02(V_27B_27,V_27C_27),V_27s_27))),s__02(c_27type_2enum_2enum_27__00,V_27l1_27))),s__02(c_27type_2enum_2enum_27__00,V_27l2_27))))),s__02(c_27type_2epair_2eprod_27__02(c_27type_2elist_2elist_27__01(c_27type_2epair_2eprod_27__02(c_27type_2enum_2enum_27__00,c_27type_2ewordSem_2eword__loc_27__01(V_27B_27))),cfun__02(c_27type_2enum_2enum_27__00,cfun__02(c_27type_2enum_2enum_27__00,c_27type_2enum_2enum_27__00))),c_27const_2ewordSem_2eenv__to__list_27__02(s__02(c_27type_2esptree_2espt_27__01(c_27type_2ewordSem_2eword__loc_27__01(V_27B_27)),V_27env_27),s__02(cfun__02(c_27type_2enum_2enum_27__00,cfun__02(c_27type_2enum_2enum_27__00,c_27type_2enum_2enum_27__00)),c_27const_2ewordSem_2estate__permute_27__01(s__02(c_27type_2ewordSem_2estate_27__02(V_27B_27,V_27C_27),V_27s_27))))))) ) ) ) ) ) ) ).
fof(conjecture,conjecture,
! [V_27C_27,V_27A_27,V_27B_27,V_27a_27,V_27b_27,V_27c_27] : s__02(c_27type_2esptree_2espt_27__01(c_27type_2epair_2eprod_27__02(c_27type_2enum_2enum_27__00,c_27type_2ewordLang_2eprog_27__01(V_27A_27))),c_27const_2ewordSem_2estate__code_27__01(s__02(c_27type_2ewordSem_2estate_27__02(V_27A_27,V_27B_27),c_27const_2ewordSem_2epush__env_27__03(s__02(c_27type_2esptree_2espt_27__01(c_27type_2ewordSem_2eword__loc_27__01(V_27A_27)),V_27a_27),s__02(c_27type_2eoption_2eoption_27__01(c_27type_2epair_2eprod_27__02(c_27type_2enum_2enum_27__00,c_27type_2epair_2eprod_27__02(c_27type_2ewordLang_2eprog_27__01(V_27C_27),c_27type_2epair_2eprod_27__02(c_27type_2enum_2enum_27__00,c_27type_2enum_2enum_27__00)))),V_27b_27),s__02(c_27type_2ewordSem_2estate_27__02(V_27A_27,V_27B_27),V_27c_27))))) = s__02(c_27type_2esptree_2espt_27__01(c_27type_2epair_2eprod_27__02(c_27type_2enum_2enum_27__00,c_27type_2ewordLang_2eprog_27__01(V_27A_27))),c_27const_2ewordSem_2estate__code_27__01(s__02(c_27type_2ewordSem_2estate_27__02(V_27A_27,V_27B_27),V_27c_27))) ).
%------------------------------------------------------------------------------