TPTP Problem File: SWW886+1.p

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%------------------------------------------------------------------------------
% File     : SWW886+1 : TPTP v9.0.0. Released v7.3.0.
% Domain   : Software Verification
% Problem  : conProps__23__evaluate_prompt_add_to_clock_io_events_mono__dep
% Version  : Especial.
% English  :

% Refs     : [Kum18] Kumar (2018), Email to Geoff Sutcliffe
% Source   : [Kum18]
% Names    : conProps__23__evaluate_prompt_add_to_clock_io_events_mono__dep [Kum18]

% Status   : CounterSatisfiable
% Rating   : 0.00 v8.2.0, 0.33 v8.1.0, 0.25 v7.5.0, 0.60 v7.4.0, 0.33 v7.3.0
% Syntax   : Number of formulae    :   21 (   8 unt;   0 def)
%            Number of atoms       :   68 (  30 equ)
%            Maximal formula atoms :   15 (   3 avg)
%            Number of connectives :   51 (   4   ~;   2   |;  12   &)
%                                         (  13 <=>;  20  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   15 (   6 avg)
%            Maximal term depth    :   21 (   3 avg)
%            Number of predicates  :    2 (   1 usr;   0 prp; 1-2 aty)
%            Number of functors    :   44 (  44 usr;  12 con; 0-3 aty)
%            Number of variables   :   83 (  79   !;   4   ?)
% SPC      : FOF_CSA_RFO_SEQ

% Comments :
%------------------------------------------------------------------------------
fof('HL_TRUTH',axiom,
    p__01(s__02(cbool__00,cT__00)) ).

fof('HL_FALSITY',axiom,
    ~ p__01(s__02(cbool__00,cF__00)) ).

fof('HL_BOOL_CASES',axiom,
    ! [Vt] :
      ( s__02(cbool__00,Vt) = s__02(cbool__00,cT__00)
      | s__02(cbool__00,Vt) = s__02(cbool__00,cF__00) ) ).

fof('HL_EXT',axiom,
    ! [V_3f2384,V_3f2380,Vf,Vg] :
      ( ! [Vx] : s__02(V_3f2380,chapp__02(s__02(cfun__02(V_3f2384,V_3f2380),Vf),s__02(V_3f2384,Vx))) = s__02(V_3f2380,chapp__02(s__02(cfun__02(V_3f2384,V_3f2380),Vg),s__02(V_3f2384,Vx)))
     => s__02(cfun__02(V_3f2384,V_3f2380),Vf) = s__02(cfun__02(V_3f2384,V_3f2380),Vg) ) ).

fof('thm.bool.TRUTH',axiom,
    p__01(s__02(cbool__00,cT__00)) ).

fof('thm.bool.IMP_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.AND_IMP_INTRO',axiom,
    ! [V_27t1_27,V_27t2_27,V_27t3_27] :
      ( ( p__01(s__02(cbool__00,V_27t1_27))
       => ( p__01(s__02(cbool__00,V_27t2_27))
         => p__01(s__02(cbool__00,V_27t3_27)) ) )
    <=> ( ( p__01(s__02(cbool__00,V_27t1_27))
          & p__01(s__02(cbool__00,V_27t2_27)) )
       => p__01(s__02(cbool__00,V_27t3_27)) ) ) ).

fof('thm.bool.IMP_CONG',axiom,
    ! [V_27x_27,V_27x_7c39_7c_27,V_27y_27,V_27y_7c39_7c_27] :
      ( ( s__02(cbool__00,V_27x_27) = s__02(cbool__00,V_27x_7c39_7c_27)
        & ( p__01(s__02(cbool__00,V_27x_7c39_7c_27))
         => s__02(cbool__00,V_27y_27) = s__02(cbool__00,V_27y_7c39_7c_27) ) )
     => ( ( p__01(s__02(cbool__00,V_27x_27))
         => p__01(s__02(cbool__00,V_27y_27)) )
      <=> ( p__01(s__02(cbool__00,V_27x_7c39_7c_27))
         => p__01(s__02(cbool__00,V_27y_7c39_7c_27)) ) ) ) ).

fof('thm.marker.Abbrev_def',axiom,
    ! [V_27x_27] : s__02(cbool__00,c_27const_2emarker_2eAbbrev_27__01(s__02(cbool__00,V_27x_27))) = s__02(cbool__00,V_27x_27) ).

fof('thm.pair.ABS_PAIR_THM',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.FST',axiom,
    ! [V_27B_27,V_27A_27,V_27x_27,V_27y_27] : s__02(V_27A_27,c_27const_2epair_2eFST_27__01(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_27A_27,V_27x_27) ).

fof('thm.pair.pair_case_thm',axiom,
    ! [V_27A_27,V_27B_27,V_27C_27,V_27y_27,V_27x_27,V_27f_27] : s__02(V_27A_27,c_27const_2epair_2epair__CASE_27__02(s__02(c_27type_2epair_2eprod_27__02(V_27B_27,V_27C_27),c_27const_2epair_2e_2c_27__02(s__02(V_27B_27,V_27x_27),s__02(V_27C_27,V_27y_27))),s__02(cfun__02(V_27B_27,cfun__02(V_27C_27,V_27A_27)),V_27f_27))) = s__02(V_27A_27,chapp__02(s__02(cfun__02(V_27C_27,V_27A_27),chapp__02(s__02(cfun__02(V_27B_27,cfun__02(V_27C_27,V_27A_27)),V_27f_27),s__02(V_27B_27,V_27x_27))),s__02(V_27C_27,V_27y_27))) ).

fof('thm.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),chapp__02(s__02(cfun__02(V_27A_27,c_27type_2eoption_2eoption_27__01(V_27A_27)),c_27const_2eoption_2eSOME_27__00),s__02(V_27A_27,V_27x_27))) ) ).

fof('thm.option.option_case_def',axiom,
    ! [V_27B_27,V_27A_27] :
      ( ! [V_27v_27,V_27f_27] : s__02(V_27B_27,c_27const_2eoption_2eoption__CASE_27__03(s__02(c_27type_2eoption_2eoption_27__01(V_27A_27),c_27const_2eoption_2eNONE_27__00),s__02(V_27B_27,V_27v_27),s__02(cfun__02(V_27A_27,V_27B_27),V_27f_27))) = s__02(V_27B_27,V_27v_27)
      & ! [V_27x_27,V_27v_27,V_27f_27] : s__02(V_27B_27,c_27const_2eoption_2eoption__CASE_27__03(s__02(c_27type_2eoption_2eoption_27__01(V_27A_27),chapp__02(s__02(cfun__02(V_27A_27,c_27type_2eoption_2eoption_27__01(V_27A_27)),c_27const_2eoption_2eSOME_27__00),s__02(V_27A_27,V_27x_27))),s__02(V_27B_27,V_27v_27),s__02(cfun__02(V_27A_27,V_27B_27),V_27f_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.conLang.prompt_nchotomy',axiom,
    ! [V_27pp_27] :
    ? [V_27l_27] : s__02(c_27type_2econLang_2eprompt_27__00,V_27pp_27) = s__02(c_27type_2econLang_2eprompt_27__00,c_27const_2econLang_2ePrompt_27__01(s__02(c_27type_2elist_2elist_27__01(c_27type_2econLang_2edec_27__00),V_27l_27))) ).

fof('thm.conSem.evaluate_prompt_def',axiom,
    ! [V_27A_27,V__4] :
      ( ! [V_27s0_27,V_27ds_27,V_27env0_27,V_27err_27] : s__02(c_27type_2epair_2eprod_27__02(c_27type_2econSem_2estate_27__01(V_27A_27),c_27type_2epair_2eprod_27__02(c_27type_2elist_2elist_27__01(c_27type_2eoption_2eoption_27__01(c_27type_2econSem_2ev_27__00)),c_27type_2eoption_2eoption_27__01(c_27type_2esemanticPrimitives_2eerror__result_27__01(c_27type_2econSem_2ev_27__00)))),chapp__02(s__02(cfun__02(c_27type_2esemanticPrimitives_2eerror__result_27__01(c_27type_2econSem_2ev_27__00),c_27type_2epair_2eprod_27__02(c_27type_2econSem_2estate_27__01(V_27A_27),c_27type_2epair_2eprod_27__02(c_27type_2elist_2elist_27__01(c_27type_2eoption_2eoption_27__01(c_27type_2econSem_2ev_27__00)),c_27type_2eoption_2eoption_27__01(c_27type_2esemanticPrimitives_2eerror__result_27__01(c_27type_2econSem_2ev_27__00))))),chapp__02(s__02(cfun__02(c_27type_2elist_2elist_27__01(c_27type_2econSem_2ev_27__00),cfun__02(c_27type_2esemanticPrimitives_2eerror__result_27__01(c_27type_2econSem_2ev_27__00),c_27type_2epair_2eprod_27__02(c_27type_2econSem_2estate_27__01(V_27A_27),c_27type_2epair_2eprod_27__02(c_27type_2elist_2elist_27__01(c_27type_2eoption_2eoption_27__01(c_27type_2econSem_2ev_27__00)),c_27type_2eoption_2eoption_27__01(c_27type_2esemanticPrimitives_2eerror__result_27__01(c_27type_2econSem_2ev_27__00)))))),chapp__02(s__02(cfun__02(c_27type_2elist_2elist_27__01(c_27type_2econLang_2edec_27__00),cfun__02(c_27type_2elist_2elist_27__01(c_27type_2econSem_2ev_27__00),cfun__02(c_27type_2esemanticPrimitives_2eerror__result_27__01(c_27type_2econSem_2ev_27__00),c_27type_2epair_2eprod_27__02(c_27type_2econSem_2estate_27__01(V_27A_27),c_27type_2epair_2eprod_27__02(c_27type_2elist_2elist_27__01(c_27type_2eoption_2eoption_27__01(c_27type_2econSem_2ev_27__00)),c_27type_2eoption_2eoption_27__01(c_27type_2esemanticPrimitives_2eerror__result_27__01(c_27type_2econSem_2ev_27__00))))))),chapp__02(s__02(cfun__02(c_27type_2econSem_2estate_27__01(V_27A_27),cfun__02(c_27type_2elist_2elist_27__01(c_27type_2econLang_2edec_27__00),cfun__02(c_27type_2elist_2elist_27__01(c_27type_2econSem_2ev_27__00),cfun__02(c_27type_2esemanticPrimitives_2eerror__result_27__01(c_27type_2econSem_2ev_27__00),c_27type_2epair_2eprod_27__02(c_27type_2econSem_2estate_27__01(V_27A_27),c_27type_2epair_2eprod_27__02(c_27type_2elist_2elist_27__01(c_27type_2eoption_2eoption_27__01(c_27type_2econSem_2ev_27__00)),c_27type_2eoption_2eoption_27__01(c_27type_2esemanticPrimitives_2eerror__result_27__01(c_27type_2econSem_2ev_27__00)))))))),V__4),s__02(c_27type_2econSem_2estate_27__01(V_27A_27),V_27s0_27))),s__02(c_27type_2elist_2elist_27__01(c_27type_2econLang_2edec_27__00),V_27ds_27))),s__02(c_27type_2elist_2elist_27__01(c_27type_2econSem_2ev_27__00),V_27env0_27))),s__02(c_27type_2esemanticPrimitives_2eerror__result_27__01(c_27type_2econSem_2ev_27__00),V_27err_27))) = s__02(c_27type_2epair_2eprod_27__02(c_27type_2econSem_2estate_27__01(V_27A_27),c_27type_2epair_2eprod_27__02(c_27type_2elist_2elist_27__01(c_27type_2eoption_2eoption_27__01(c_27type_2econSem_2ev_27__00)),c_27type_2eoption_2eoption_27__01(c_27type_2esemanticPrimitives_2eerror__result_27__01(c_27type_2econSem_2ev_27__00)))),c_27const_2epair_2e_2c_27__02(s__02(c_27type_2econSem_2estate_27__01(V_27A_27),V_27s0_27),s__02(c_27type_2epair_2eprod_27__02(c_27type_2elist_2elist_27__01(c_27type_2eoption_2eoption_27__01(c_27type_2econSem_2ev_27__00)),c_27type_2eoption_2eoption_27__01(c_27type_2esemanticPrimitives_2eerror__result_27__01(c_27type_2econSem_2ev_27__00))),c_27const_2epair_2e_2c_27__02(s__02(c_27type_2elist_2elist_27__01(c_27type_2eoption_2eoption_27__01(c_27type_2econSem_2ev_27__00)),c_27const_2elist_2eAPPEND_27__02(s__02(c_27type_2elist_2elist_27__01(c_27type_2eoption_2eoption_27__01(c_27type_2econSem_2ev_27__00)),c_27const_2elist_2eMAP_27__02(s__02(cfun__02(c_27type_2econSem_2ev_27__00,c_27type_2eoption_2eoption_27__01(c_27type_2econSem_2ev_27__00)),c_27const_2eoption_2eSOME_27__00),s__02(c_27type_2elist_2elist_27__01(c_27type_2econSem_2ev_27__00),V_27env0_27))),s__02(c_27type_2elist_2elist_27__01(c_27type_2eoption_2eoption_27__01(c_27type_2econSem_2ev_27__00)),c_27const_2elist_2eGENLIST_27__02(s__02(cfun__02(c_27type_2enum_2enum_27__00,c_27type_2eoption_2eoption_27__01(c_27type_2econSem_2ev_27__00)),c_27const_2ecombin_2eK_27__01(s__02(c_27type_2eoption_2eoption_27__01(c_27type_2econSem_2ev_27__00),c_27const_2eoption_2eNONE_27__00))),s__02(c_27type_2enum_2enum_27__00,c_27const_2earithmetic_2e_2d_27__02(s__02(c_27type_2enum_2enum_27__00,c_27const_2econLang_2enum__defs_27__01(s__02(c_27type_2elist_2elist_27__01(c_27type_2econLang_2edec_27__00),V_27ds_27))),s__02(c_27type_2enum_2enum_27__00,c_27const_2elist_2eLENGTH_27__01(s__02(c_27type_2elist_2elist_27__01(c_27type_2econSem_2ev_27__00),V_27env0_27))))))))),s__02(c_27type_2eoption_2eoption_27__01(c_27type_2esemanticPrimitives_2eerror__result_27__01(c_27type_2econSem_2ev_27__00)),chapp__02(s__02(cfun__02(c_27type_2esemanticPrimitives_2eerror__result_27__01(c_27type_2econSem_2ev_27__00),c_27type_2eoption_2eoption_27__01(c_27type_2esemanticPrimitives_2eerror__result_27__01(c_27type_2econSem_2ev_27__00))),c_27const_2eoption_2eSOME_27__00),s__02(c_27type_2esemanticPrimitives_2eerror__result_27__01(c_27type_2econSem_2ev_27__00),V_27err_27)))))))
     => ! [V__3] :
          ( ! [V_27s0_27,V_27ds_27,V_27env0_27,V_27v3_27] : s__02(c_27type_2epair_2eprod_27__02(c_27type_2econSem_2estate_27__01(V_27A_27),c_27type_2epair_2eprod_27__02(c_27type_2elist_2elist_27__01(c_27type_2eoption_2eoption_27__01(c_27type_2econSem_2ev_27__00)),c_27type_2eoption_2eoption_27__01(c_27type_2esemanticPrimitives_2eerror__result_27__01(c_27type_2econSem_2ev_27__00)))),chapp__02(s__02(cfun__02(c_27type_2eoption_2eoption_27__01(c_27type_2esemanticPrimitives_2eerror__result_27__01(c_27type_2econSem_2ev_27__00)),c_27type_2epair_2eprod_27__02(c_27type_2econSem_2estate_27__01(V_27A_27),c_27type_2epair_2eprod_27__02(c_27type_2elist_2elist_27__01(c_27type_2eoption_2eoption_27__01(c_27type_2econSem_2ev_27__00)),c_27type_2eoption_2eoption_27__01(c_27type_2esemanticPrimitives_2eerror__result_27__01(c_27type_2econSem_2ev_27__00))))),chapp__02(s__02(cfun__02(c_27type_2elist_2elist_27__01(c_27type_2econSem_2ev_27__00),cfun__02(c_27type_2eoption_2eoption_27__01(c_27type_2esemanticPrimitives_2eerror__result_27__01(c_27type_2econSem_2ev_27__00)),c_27type_2epair_2eprod_27__02(c_27type_2econSem_2estate_27__01(V_27A_27),c_27type_2epair_2eprod_27__02(c_27type_2elist_2elist_27__01(c_27type_2eoption_2eoption_27__01(c_27type_2econSem_2ev_27__00)),c_27type_2eoption_2eoption_27__01(c_27type_2esemanticPrimitives_2eerror__result_27__01(c_27type_2econSem_2ev_27__00)))))),chapp__02(s__02(cfun__02(c_27type_2elist_2elist_27__01(c_27type_2econLang_2edec_27__00),cfun__02(c_27type_2elist_2elist_27__01(c_27type_2econSem_2ev_27__00),cfun__02(c_27type_2eoption_2eoption_27__01(c_27type_2esemanticPrimitives_2eerror__result_27__01(c_27type_2econSem_2ev_27__00)),c_27type_2epair_2eprod_27__02(c_27type_2econSem_2estate_27__01(V_27A_27),c_27type_2epair_2eprod_27__02(c_27type_2elist_2elist_27__01(c_27type_2eoption_2eoption_27__01(c_27type_2econSem_2ev_27__00)),c_27type_2eoption_2eoption_27__01(c_27type_2esemanticPrimitives_2eerror__result_27__01(c_27type_2econSem_2ev_27__00))))))),chapp__02(s__02(cfun__02(c_27type_2econSem_2estate_27__01(V_27A_27),cfun__02(c_27type_2elist_2elist_27__01(c_27type_2econLang_2edec_27__00),cfun__02(c_27type_2elist_2elist_27__01(c_27type_2econSem_2ev_27__00),cfun__02(c_27type_2eoption_2eoption_27__01(c_27type_2esemanticPrimitives_2eerror__result_27__01(c_27type_2econSem_2ev_27__00)),c_27type_2epair_2eprod_27__02(c_27type_2econSem_2estate_27__01(V_27A_27),c_27type_2epair_2eprod_27__02(c_27type_2elist_2elist_27__01(c_27type_2eoption_2eoption_27__01(c_27type_2econSem_2ev_27__00)),c_27type_2eoption_2eoption_27__01(c_27type_2esemanticPrimitives_2eerror__result_27__01(c_27type_2econSem_2ev_27__00)))))))),V__3),s__02(c_27type_2econSem_2estate_27__01(V_27A_27),V_27s0_27))),s__02(c_27type_2elist_2elist_27__01(c_27type_2econLang_2edec_27__00),V_27ds_27))),s__02(c_27type_2elist_2elist_27__01(c_27type_2econSem_2ev_27__00),V_27env0_27))),s__02(c_27type_2eoption_2eoption_27__01(c_27type_2esemanticPrimitives_2eerror__result_27__01(c_27type_2econSem_2ev_27__00)),V_27v3_27))) = s__02(c_27type_2epair_2eprod_27__02(c_27type_2econSem_2estate_27__01(V_27A_27),c_27type_2epair_2eprod_27__02(c_27type_2elist_2elist_27__01(c_27type_2eoption_2eoption_27__01(c_27type_2econSem_2ev_27__00)),c_27type_2eoption_2eoption_27__01(c_27type_2esemanticPrimitives_2eerror__result_27__01(c_27type_2econSem_2ev_27__00)))),c_27const_2eoption_2eoption__CASE_27__03(s__02(c_27type_2eoption_2eoption_27__01(c_27type_2esemanticPrimitives_2eerror__result_27__01(c_27type_2econSem_2ev_27__00)),V_27v3_27),s__02(c_27type_2epair_2eprod_27__02(c_27type_2econSem_2estate_27__01(V_27A_27),c_27type_2epair_2eprod_27__02(c_27type_2elist_2elist_27__01(c_27type_2eoption_2eoption_27__01(c_27type_2econSem_2ev_27__00)),c_27type_2eoption_2eoption_27__01(c_27type_2esemanticPrimitives_2eerror__result_27__01(c_27type_2econSem_2ev_27__00)))),c_27const_2epair_2e_2c_27__02(s__02(c_27type_2econSem_2estate_27__01(V_27A_27),V_27s0_27),s__02(c_27type_2epair_2eprod_27__02(c_27type_2elist_2elist_27__01(c_27type_2eoption_2eoption_27__01(c_27type_2econSem_2ev_27__00)),c_27type_2eoption_2eoption_27__01(c_27type_2esemanticPrimitives_2eerror__result_27__01(c_27type_2econSem_2ev_27__00))),c_27const_2epair_2e_2c_27__02(s__02(c_27type_2elist_2elist_27__01(c_27type_2eoption_2eoption_27__01(c_27type_2econSem_2ev_27__00)),c_27const_2elist_2eMAP_27__02(s__02(cfun__02(c_27type_2econSem_2ev_27__00,c_27type_2eoption_2eoption_27__01(c_27type_2econSem_2ev_27__00)),c_27const_2eoption_2eSOME_27__00),s__02(c_27type_2elist_2elist_27__01(c_27type_2econSem_2ev_27__00),V_27env0_27))),s__02(c_27type_2eoption_2eoption_27__01(c_27type_2esemanticPrimitives_2eerror__result_27__01(c_27type_2econSem_2ev_27__00)),c_27const_2eoption_2eNONE_27__00))))),s__02(cfun__02(c_27type_2esemanticPrimitives_2eerror__result_27__01(c_27type_2econSem_2ev_27__00),c_27type_2epair_2eprod_27__02(c_27type_2econSem_2estate_27__01(V_27A_27),c_27type_2epair_2eprod_27__02(c_27type_2elist_2elist_27__01(c_27type_2eoption_2eoption_27__01(c_27type_2econSem_2ev_27__00)),c_27type_2eoption_2eoption_27__01(c_27type_2esemanticPrimitives_2eerror__result_27__01(c_27type_2econSem_2ev_27__00))))),chapp__02(s__02(cfun__02(c_27type_2elist_2elist_27__01(c_27type_2econSem_2ev_27__00),cfun__02(c_27type_2esemanticPrimitives_2eerror__result_27__01(c_27type_2econSem_2ev_27__00),c_27type_2epair_2eprod_27__02(c_27type_2econSem_2estate_27__01(V_27A_27),c_27type_2epair_2eprod_27__02(c_27type_2elist_2elist_27__01(c_27type_2eoption_2eoption_27__01(c_27type_2econSem_2ev_27__00)),c_27type_2eoption_2eoption_27__01(c_27type_2esemanticPrimitives_2eerror__result_27__01(c_27type_2econSem_2ev_27__00)))))),chapp__02(s__02(cfun__02(c_27type_2elist_2elist_27__01(c_27type_2econLang_2edec_27__00),cfun__02(c_27type_2elist_2elist_27__01(c_27type_2econSem_2ev_27__00),cfun__02(c_27type_2esemanticPrimitives_2eerror__result_27__01(c_27type_2econSem_2ev_27__00),c_27type_2epair_2eprod_27__02(c_27type_2econSem_2estate_27__01(V_27A_27),c_27type_2epair_2eprod_27__02(c_27type_2elist_2elist_27__01(c_27type_2eoption_2eoption_27__01(c_27type_2econSem_2ev_27__00)),c_27type_2eoption_2eoption_27__01(c_27type_2esemanticPrimitives_2eerror__result_27__01(c_27type_2econSem_2ev_27__00))))))),chapp__02(s__02(cfun__02(c_27type_2econSem_2estate_27__01(V_27A_27),cfun__02(c_27type_2elist_2elist_27__01(c_27type_2econLang_2edec_27__00),cfun__02(c_27type_2elist_2elist_27__01(c_27type_2econSem_2ev_27__00),cfun__02(c_27type_2esemanticPrimitives_2eerror__result_27__01(c_27type_2econSem_2ev_27__00),c_27type_2epair_2eprod_27__02(c_27type_2econSem_2estate_27__01(V_27A_27),c_27type_2epair_2eprod_27__02(c_27type_2elist_2elist_27__01(c_27type_2eoption_2eoption_27__01(c_27type_2econSem_2ev_27__00)),c_27type_2eoption_2eoption_27__01(c_27type_2esemanticPrimitives_2eerror__result_27__01(c_27type_2econSem_2ev_27__00)))))))),V__4),s__02(c_27type_2econSem_2estate_27__01(V_27A_27),V_27s0_27))),s__02(c_27type_2elist_2elist_27__01(c_27type_2econLang_2edec_27__00),V_27ds_27))),s__02(c_27type_2elist_2elist_27__01(c_27type_2econSem_2ev_27__00),V_27env0_27)))))
         => ! [V__2] :
              ( ! [V_27s0_27,V_27ds_27,V_27env0_27] : s__02(cfun__02(c_27type_2eoption_2eoption_27__01(c_27type_2esemanticPrimitives_2eerror__result_27__01(c_27type_2econSem_2ev_27__00)),c_27type_2epair_2eprod_27__02(c_27type_2econSem_2estate_27__01(V_27A_27),c_27type_2epair_2eprod_27__02(c_27type_2elist_2elist_27__01(c_27type_2eoption_2eoption_27__01(c_27type_2econSem_2ev_27__00)),c_27type_2eoption_2eoption_27__01(c_27type_2esemanticPrimitives_2eerror__result_27__01(c_27type_2econSem_2ev_27__00))))),chapp__02(s__02(cfun__02(c_27type_2elist_2elist_27__01(c_27type_2econSem_2ev_27__00),cfun__02(c_27type_2eoption_2eoption_27__01(c_27type_2esemanticPrimitives_2eerror__result_27__01(c_27type_2econSem_2ev_27__00)),c_27type_2epair_2eprod_27__02(c_27type_2econSem_2estate_27__01(V_27A_27),c_27type_2epair_2eprod_27__02(c_27type_2elist_2elist_27__01(c_27type_2eoption_2eoption_27__01(c_27type_2econSem_2ev_27__00)),c_27type_2eoption_2eoption_27__01(c_27type_2esemanticPrimitives_2eerror__result_27__01(c_27type_2econSem_2ev_27__00)))))),chapp__02(s__02(cfun__02(c_27type_2elist_2elist_27__01(c_27type_2econLang_2edec_27__00),cfun__02(c_27type_2elist_2elist_27__01(c_27type_2econSem_2ev_27__00),cfun__02(c_27type_2eoption_2eoption_27__01(c_27type_2esemanticPrimitives_2eerror__result_27__01(c_27type_2econSem_2ev_27__00)),c_27type_2epair_2eprod_27__02(c_27type_2econSem_2estate_27__01(V_27A_27),c_27type_2epair_2eprod_27__02(c_27type_2elist_2elist_27__01(c_27type_2eoption_2eoption_27__01(c_27type_2econSem_2ev_27__00)),c_27type_2eoption_2eoption_27__01(c_27type_2esemanticPrimitives_2eerror__result_27__01(c_27type_2econSem_2ev_27__00))))))),chapp__02(s__02(cfun__02(c_27type_2econSem_2estate_27__01(V_27A_27),cfun__02(c_27type_2elist_2elist_27__01(c_27type_2econLang_2edec_27__00),cfun__02(c_27type_2elist_2elist_27__01(c_27type_2econSem_2ev_27__00),cfun__02(c_27type_2eoption_2eoption_27__01(c_27type_2esemanticPrimitives_2eerror__result_27__01(c_27type_2econSem_2ev_27__00)),c_27type_2epair_2eprod_27__02(c_27type_2econSem_2estate_27__01(V_27A_27),c_27type_2epair_2eprod_27__02(c_27type_2elist_2elist_27__01(c_27type_2eoption_2eoption_27__01(c_27type_2econSem_2ev_27__00)),c_27type_2eoption_2eoption_27__01(c_27type_2esemanticPrimitives_2eerror__result_27__01(c_27type_2econSem_2ev_27__00)))))))),V__2),s__02(c_27type_2econSem_2estate_27__01(V_27A_27),V_27s0_27))),s__02(c_27type_2elist_2elist_27__01(c_27type_2econLang_2edec_27__00),V_27ds_27))),s__02(c_27type_2elist_2elist_27__01(c_27type_2econSem_2ev_27__00),V_27env0_27))) = s__02(cfun__02(c_27type_2eoption_2eoption_27__01(c_27type_2esemanticPrimitives_2eerror__result_27__01(c_27type_2econSem_2ev_27__00)),c_27type_2epair_2eprod_27__02(c_27type_2econSem_2estate_27__01(V_27A_27),c_27type_2epair_2eprod_27__02(c_27type_2elist_2elist_27__01(c_27type_2eoption_2eoption_27__01(c_27type_2econSem_2ev_27__00)),c_27type_2eoption_2eoption_27__01(c_27type_2esemanticPrimitives_2eerror__result_27__01(c_27type_2econSem_2ev_27__00))))),chapp__02(s__02(cfun__02(c_27type_2elist_2elist_27__01(c_27type_2econSem_2ev_27__00),cfun__02(c_27type_2eoption_2eoption_27__01(c_27type_2esemanticPrimitives_2eerror__result_27__01(c_27type_2econSem_2ev_27__00)),c_27type_2epair_2eprod_27__02(c_27type_2econSem_2estate_27__01(V_27A_27),c_27type_2epair_2eprod_27__02(c_27type_2elist_2elist_27__01(c_27type_2eoption_2eoption_27__01(c_27type_2econSem_2ev_27__00)),c_27type_2eoption_2eoption_27__01(c_27type_2esemanticPrimitives_2eerror__result_27__01(c_27type_2econSem_2ev_27__00)))))),chapp__02(s__02(cfun__02(c_27type_2elist_2elist_27__01(c_27type_2econLang_2edec_27__00),cfun__02(c_27type_2elist_2elist_27__01(c_27type_2econSem_2ev_27__00),cfun__02(c_27type_2eoption_2eoption_27__01(c_27type_2esemanticPrimitives_2eerror__result_27__01(c_27type_2econSem_2ev_27__00)),c_27type_2epair_2eprod_27__02(c_27type_2econSem_2estate_27__01(V_27A_27),c_27type_2epair_2eprod_27__02(c_27type_2elist_2elist_27__01(c_27type_2eoption_2eoption_27__01(c_27type_2econSem_2ev_27__00)),c_27type_2eoption_2eoption_27__01(c_27type_2esemanticPrimitives_2eerror__result_27__01(c_27type_2econSem_2ev_27__00))))))),chapp__02(s__02(cfun__02(c_27type_2econSem_2estate_27__01(V_27A_27),cfun__02(c_27type_2elist_2elist_27__01(c_27type_2econLang_2edec_27__00),cfun__02(c_27type_2elist_2elist_27__01(c_27type_2econSem_2ev_27__00),cfun__02(c_27type_2eoption_2eoption_27__01(c_27type_2esemanticPrimitives_2eerror__result_27__01(c_27type_2econSem_2ev_27__00)),c_27type_2epair_2eprod_27__02(c_27type_2econSem_2estate_27__01(V_27A_27),c_27type_2epair_2eprod_27__02(c_27type_2elist_2elist_27__01(c_27type_2eoption_2eoption_27__01(c_27type_2econSem_2ev_27__00)),c_27type_2eoption_2eoption_27__01(c_27type_2esemanticPrimitives_2eerror__result_27__01(c_27type_2econSem_2ev_27__00)))))))),V__3),s__02(c_27type_2econSem_2estate_27__01(V_27A_27),V_27s0_27))),s__02(c_27type_2elist_2elist_27__01(c_27type_2econLang_2edec_27__00),V_27ds_27))),s__02(c_27type_2elist_2elist_27__01(c_27type_2econSem_2ev_27__00),V_27env0_27)))
             => ! [V__1] :
                  ( ! [V_27s0_27,V_27ds_27,V_27v1_27] : s__02(c_27type_2epair_2eprod_27__02(c_27type_2econSem_2estate_27__01(V_27A_27),c_27type_2epair_2eprod_27__02(c_27type_2elist_2elist_27__01(c_27type_2eoption_2eoption_27__01(c_27type_2econSem_2ev_27__00)),c_27type_2eoption_2eoption_27__01(c_27type_2esemanticPrimitives_2eerror__result_27__01(c_27type_2econSem_2ev_27__00)))),chapp__02(s__02(cfun__02(c_27type_2epair_2eprod_27__02(c_27type_2elist_2elist_27__01(c_27type_2econSem_2ev_27__00),c_27type_2eoption_2eoption_27__01(c_27type_2esemanticPrimitives_2eerror__result_27__01(c_27type_2econSem_2ev_27__00))),c_27type_2epair_2eprod_27__02(c_27type_2econSem_2estate_27__01(V_27A_27),c_27type_2epair_2eprod_27__02(c_27type_2elist_2elist_27__01(c_27type_2eoption_2eoption_27__01(c_27type_2econSem_2ev_27__00)),c_27type_2eoption_2eoption_27__01(c_27type_2esemanticPrimitives_2eerror__result_27__01(c_27type_2econSem_2ev_27__00))))),chapp__02(s__02(cfun__02(c_27type_2elist_2elist_27__01(c_27type_2econLang_2edec_27__00),cfun__02(c_27type_2epair_2eprod_27__02(c_27type_2elist_2elist_27__01(c_27type_2econSem_2ev_27__00),c_27type_2eoption_2eoption_27__01(c_27type_2esemanticPrimitives_2eerror__result_27__01(c_27type_2econSem_2ev_27__00))),c_27type_2epair_2eprod_27__02(c_27type_2econSem_2estate_27__01(V_27A_27),c_27type_2epair_2eprod_27__02(c_27type_2elist_2elist_27__01(c_27type_2eoption_2eoption_27__01(c_27type_2econSem_2ev_27__00)),c_27type_2eoption_2eoption_27__01(c_27type_2esemanticPrimitives_2eerror__result_27__01(c_27type_2econSem_2ev_27__00)))))),chapp__02(s__02(cfun__02(c_27type_2econSem_2estate_27__01(V_27A_27),cfun__02(c_27type_2elist_2elist_27__01(c_27type_2econLang_2edec_27__00),cfun__02(c_27type_2epair_2eprod_27__02(c_27type_2elist_2elist_27__01(c_27type_2econSem_2ev_27__00),c_27type_2eoption_2eoption_27__01(c_27type_2esemanticPrimitives_2eerror__result_27__01(c_27type_2econSem_2ev_27__00))),c_27type_2epair_2eprod_27__02(c_27type_2econSem_2estate_27__01(V_27A_27),c_27type_2epair_2eprod_27__02(c_27type_2elist_2elist_27__01(c_27type_2eoption_2eoption_27__01(c_27type_2econSem_2ev_27__00)),c_27type_2eoption_2eoption_27__01(c_27type_2esemanticPrimitives_2eerror__result_27__01(c_27type_2econSem_2ev_27__00))))))),V__1),s__02(c_27type_2econSem_2estate_27__01(V_27A_27),V_27s0_27))),s__02(c_27type_2elist_2elist_27__01(c_27type_2econLang_2edec_27__00),V_27ds_27))),s__02(c_27type_2epair_2eprod_27__02(c_27type_2elist_2elist_27__01(c_27type_2econSem_2ev_27__00),c_27type_2eoption_2eoption_27__01(c_27type_2esemanticPrimitives_2eerror__result_27__01(c_27type_2econSem_2ev_27__00))),V_27v1_27))) = s__02(c_27type_2epair_2eprod_27__02(c_27type_2econSem_2estate_27__01(V_27A_27),c_27type_2epair_2eprod_27__02(c_27type_2elist_2elist_27__01(c_27type_2eoption_2eoption_27__01(c_27type_2econSem_2ev_27__00)),c_27type_2eoption_2eoption_27__01(c_27type_2esemanticPrimitives_2eerror__result_27__01(c_27type_2econSem_2ev_27__00)))),c_27const_2epair_2epair__CASE_27__02(s__02(c_27type_2epair_2eprod_27__02(c_27type_2elist_2elist_27__01(c_27type_2econSem_2ev_27__00),c_27type_2eoption_2eoption_27__01(c_27type_2esemanticPrimitives_2eerror__result_27__01(c_27type_2econSem_2ev_27__00))),V_27v1_27),s__02(cfun__02(c_27type_2elist_2elist_27__01(c_27type_2econSem_2ev_27__00),cfun__02(c_27type_2eoption_2eoption_27__01(c_27type_2esemanticPrimitives_2eerror__result_27__01(c_27type_2econSem_2ev_27__00)),c_27type_2epair_2eprod_27__02(c_27type_2econSem_2estate_27__01(V_27A_27),c_27type_2epair_2eprod_27__02(c_27type_2elist_2elist_27__01(c_27type_2eoption_2eoption_27__01(c_27type_2econSem_2ev_27__00)),c_27type_2eoption_2eoption_27__01(c_27type_2esemanticPrimitives_2eerror__result_27__01(c_27type_2econSem_2ev_27__00)))))),chapp__02(s__02(cfun__02(c_27type_2elist_2elist_27__01(c_27type_2econLang_2edec_27__00),cfun__02(c_27type_2elist_2elist_27__01(c_27type_2econSem_2ev_27__00),cfun__02(c_27type_2eoption_2eoption_27__01(c_27type_2esemanticPrimitives_2eerror__result_27__01(c_27type_2econSem_2ev_27__00)),c_27type_2epair_2eprod_27__02(c_27type_2econSem_2estate_27__01(V_27A_27),c_27type_2epair_2eprod_27__02(c_27type_2elist_2elist_27__01(c_27type_2eoption_2eoption_27__01(c_27type_2econSem_2ev_27__00)),c_27type_2eoption_2eoption_27__01(c_27type_2esemanticPrimitives_2eerror__result_27__01(c_27type_2econSem_2ev_27__00))))))),chapp__02(s__02(cfun__02(c_27type_2econSem_2estate_27__01(V_27A_27),cfun__02(c_27type_2elist_2elist_27__01(c_27type_2econLang_2edec_27__00),cfun__02(c_27type_2elist_2elist_27__01(c_27type_2econSem_2ev_27__00),cfun__02(c_27type_2eoption_2eoption_27__01(c_27type_2esemanticPrimitives_2eerror__result_27__01(c_27type_2econSem_2ev_27__00)),c_27type_2epair_2eprod_27__02(c_27type_2econSem_2estate_27__01(V_27A_27),c_27type_2epair_2eprod_27__02(c_27type_2elist_2elist_27__01(c_27type_2eoption_2eoption_27__01(c_27type_2econSem_2ev_27__00)),c_27type_2eoption_2eoption_27__01(c_27type_2esemanticPrimitives_2eerror__result_27__01(c_27type_2econSem_2ev_27__00)))))))),V__2),s__02(c_27type_2econSem_2estate_27__01(V_27A_27),V_27s0_27))),s__02(c_27type_2elist_2elist_27__01(c_27type_2econLang_2edec_27__00),V_27ds_27)))))
                 => ! [V__0] :
                      ( ! [V_27ds_27,V_27s0_27] : s__02(cfun__02(c_27type_2epair_2eprod_27__02(c_27type_2elist_2elist_27__01(c_27type_2econSem_2ev_27__00),c_27type_2eoption_2eoption_27__01(c_27type_2esemanticPrimitives_2eerror__result_27__01(c_27type_2econSem_2ev_27__00))),c_27type_2epair_2eprod_27__02(c_27type_2econSem_2estate_27__01(V_27A_27),c_27type_2epair_2eprod_27__02(c_27type_2elist_2elist_27__01(c_27type_2eoption_2eoption_27__01(c_27type_2econSem_2ev_27__00)),c_27type_2eoption_2eoption_27__01(c_27type_2esemanticPrimitives_2eerror__result_27__01(c_27type_2econSem_2ev_27__00))))),chapp__02(s__02(cfun__02(c_27type_2econSem_2estate_27__01(V_27A_27),cfun__02(c_27type_2epair_2eprod_27__02(c_27type_2elist_2elist_27__01(c_27type_2econSem_2ev_27__00),c_27type_2eoption_2eoption_27__01(c_27type_2esemanticPrimitives_2eerror__result_27__01(c_27type_2econSem_2ev_27__00))),c_27type_2epair_2eprod_27__02(c_27type_2econSem_2estate_27__01(V_27A_27),c_27type_2epair_2eprod_27__02(c_27type_2elist_2elist_27__01(c_27type_2eoption_2eoption_27__01(c_27type_2econSem_2ev_27__00)),c_27type_2eoption_2eoption_27__01(c_27type_2esemanticPrimitives_2eerror__result_27__01(c_27type_2econSem_2ev_27__00)))))),chapp__02(s__02(cfun__02(c_27type_2elist_2elist_27__01(c_27type_2econLang_2edec_27__00),cfun__02(c_27type_2econSem_2estate_27__01(V_27A_27),cfun__02(c_27type_2epair_2eprod_27__02(c_27type_2elist_2elist_27__01(c_27type_2econSem_2ev_27__00),c_27type_2eoption_2eoption_27__01(c_27type_2esemanticPrimitives_2eerror__result_27__01(c_27type_2econSem_2ev_27__00))),c_27type_2epair_2eprod_27__02(c_27type_2econSem_2estate_27__01(V_27A_27),c_27type_2epair_2eprod_27__02(c_27type_2elist_2elist_27__01(c_27type_2eoption_2eoption_27__01(c_27type_2econSem_2ev_27__00)),c_27type_2eoption_2eoption_27__01(c_27type_2esemanticPrimitives_2eerror__result_27__01(c_27type_2econSem_2ev_27__00))))))),V__0),s__02(c_27type_2elist_2elist_27__01(c_27type_2econLang_2edec_27__00),V_27ds_27))),s__02(c_27type_2econSem_2estate_27__01(V_27A_27),V_27s0_27))) = s__02(cfun__02(c_27type_2epair_2eprod_27__02(c_27type_2elist_2elist_27__01(c_27type_2econSem_2ev_27__00),c_27type_2eoption_2eoption_27__01(c_27type_2esemanticPrimitives_2eerror__result_27__01(c_27type_2econSem_2ev_27__00))),c_27type_2epair_2eprod_27__02(c_27type_2econSem_2estate_27__01(V_27A_27),c_27type_2epair_2eprod_27__02(c_27type_2elist_2elist_27__01(c_27type_2eoption_2eoption_27__01(c_27type_2econSem_2ev_27__00)),c_27type_2eoption_2eoption_27__01(c_27type_2esemanticPrimitives_2eerror__result_27__01(c_27type_2econSem_2ev_27__00))))),chapp__02(s__02(cfun__02(c_27type_2elist_2elist_27__01(c_27type_2econLang_2edec_27__00),cfun__02(c_27type_2epair_2eprod_27__02(c_27type_2elist_2elist_27__01(c_27type_2econSem_2ev_27__00),c_27type_2eoption_2eoption_27__01(c_27type_2esemanticPrimitives_2eerror__result_27__01(c_27type_2econSem_2ev_27__00))),c_27type_2epair_2eprod_27__02(c_27type_2econSem_2estate_27__01(V_27A_27),c_27type_2epair_2eprod_27__02(c_27type_2elist_2elist_27__01(c_27type_2eoption_2eoption_27__01(c_27type_2econSem_2ev_27__00)),c_27type_2eoption_2eoption_27__01(c_27type_2esemanticPrimitives_2eerror__result_27__01(c_27type_2econSem_2ev_27__00)))))),chapp__02(s__02(cfun__02(c_27type_2econSem_2estate_27__01(V_27A_27),cfun__02(c_27type_2elist_2elist_27__01(c_27type_2econLang_2edec_27__00),cfun__02(c_27type_2epair_2eprod_27__02(c_27type_2elist_2elist_27__01(c_27type_2econSem_2ev_27__00),c_27type_2eoption_2eoption_27__01(c_27type_2esemanticPrimitives_2eerror__result_27__01(c_27type_2econSem_2ev_27__00))),c_27type_2epair_2eprod_27__02(c_27type_2econSem_2estate_27__01(V_27A_27),c_27type_2epair_2eprod_27__02(c_27type_2elist_2elist_27__01(c_27type_2eoption_2eoption_27__01(c_27type_2econSem_2ev_27__00)),c_27type_2eoption_2eoption_27__01(c_27type_2esemanticPrimitives_2eerror__result_27__01(c_27type_2econSem_2ev_27__00))))))),V__1),s__02(c_27type_2econSem_2estate_27__01(V_27A_27),V_27s0_27))),s__02(c_27type_2elist_2elist_27__01(c_27type_2econLang_2edec_27__00),V_27ds_27)))
                     => ! [V_27env_27,V_27s_27,V_27ds_27] : s__02(c_27type_2epair_2eprod_27__02(c_27type_2econSem_2estate_27__01(V_27A_27),c_27type_2epair_2eprod_27__02(c_27type_2elist_2elist_27__01(c_27type_2eoption_2eoption_27__01(c_27type_2econSem_2ev_27__00)),c_27type_2eoption_2eoption_27__01(c_27type_2esemanticPrimitives_2eerror__result_27__01(c_27type_2econSem_2ev_27__00)))),c_27const_2econSem_2eevaluate__prompt_27__03(s__02(c_27type_2econSem_2eenvironment_27__00,V_27env_27),s__02(c_27type_2econSem_2estate_27__01(V_27A_27),V_27s_27),s__02(c_27type_2econLang_2eprompt_27__00,c_27const_2econLang_2ePrompt_27__01(s__02(c_27type_2elist_2elist_27__01(c_27type_2econLang_2edec_27__00),V_27ds_27))))) = s__02(c_27type_2epair_2eprod_27__02(c_27type_2econSem_2estate_27__01(V_27A_27),c_27type_2epair_2eprod_27__02(c_27type_2elist_2elist_27__01(c_27type_2eoption_2eoption_27__01(c_27type_2econSem_2ev_27__00)),c_27type_2eoption_2eoption_27__01(c_27type_2esemanticPrimitives_2eerror__result_27__01(c_27type_2econSem_2ev_27__00)))),c_27const_2epair_2epair__CASE_27__02(s__02(c_27type_2epair_2eprod_27__02(c_27type_2econSem_2estate_27__01(V_27A_27),c_27type_2epair_2eprod_27__02(c_27type_2elist_2elist_27__01(c_27type_2econSem_2ev_27__00),c_27type_2eoption_2eoption_27__01(c_27type_2esemanticPrimitives_2eerror__result_27__01(c_27type_2econSem_2ev_27__00)))),c_27const_2econSem_2eevaluate__decs_27__03(s__02(c_27type_2econSem_2eenvironment_27__00,V_27env_27),s__02(c_27type_2econSem_2estate_27__01(V_27A_27),V_27s_27),s__02(c_27type_2elist_2elist_27__01(c_27type_2econLang_2edec_27__00),V_27ds_27))),s__02(cfun__02(c_27type_2econSem_2estate_27__01(V_27A_27),cfun__02(c_27type_2epair_2eprod_27__02(c_27type_2elist_2elist_27__01(c_27type_2econSem_2ev_27__00),c_27type_2eoption_2eoption_27__01(c_27type_2esemanticPrimitives_2eerror__result_27__01(c_27type_2econSem_2ev_27__00))),c_27type_2epair_2eprod_27__02(c_27type_2econSem_2estate_27__01(V_27A_27),c_27type_2epair_2eprod_27__02(c_27type_2elist_2elist_27__01(c_27type_2eoption_2eoption_27__01(c_27type_2econSem_2ev_27__00)),c_27type_2eoption_2eoption_27__01(c_27type_2esemanticPrimitives_2eerror__result_27__01(c_27type_2econSem_2ev_27__00)))))),chapp__02(s__02(cfun__02(c_27type_2elist_2elist_27__01(c_27type_2econLang_2edec_27__00),cfun__02(c_27type_2econSem_2estate_27__01(V_27A_27),cfun__02(c_27type_2epair_2eprod_27__02(c_27type_2elist_2elist_27__01(c_27type_2econSem_2ev_27__00),c_27type_2eoption_2eoption_27__01(c_27type_2esemanticPrimitives_2eerror__result_27__01(c_27type_2econSem_2ev_27__00))),c_27type_2epair_2eprod_27__02(c_27type_2econSem_2estate_27__01(V_27A_27),c_27type_2epair_2eprod_27__02(c_27type_2elist_2elist_27__01(c_27type_2eoption_2eoption_27__01(c_27type_2econSem_2ev_27__00)),c_27type_2eoption_2eoption_27__01(c_27type_2esemanticPrimitives_2eerror__result_27__01(c_27type_2econSem_2ev_27__00))))))),V__0),s__02(c_27type_2elist_2elist_27__01(c_27type_2econLang_2edec_27__00),V_27ds_27))))) ) ) ) ) ) ).

fof('thm.conProps.evaluate_decs_add_to_clock_io_events_mono',axiom,
    ! [V_27A_27,V_27env_27,V_27s_27,V_27prog_27,V_27extra_27] :
      ( p__01(s__02(cbool__00,c_27const_2elist_2eisPREFIX_27__02(s__02(c_27type_2elist_2elist_27__01(c_27type_2effi_2eio__event_27__00),c_27const_2effi_2effi__state__io__events_27__01(s__02(c_27type_2effi_2effi__state_27__01(V_27A_27),c_27const_2econSem_2estate__ffi_27__01(s__02(c_27type_2econSem_2estate_27__01(V_27A_27),c_27const_2epair_2eFST_27__01(s__02(c_27type_2epair_2eprod_27__02(c_27type_2econSem_2estate_27__01(V_27A_27),c_27type_2epair_2eprod_27__02(c_27type_2elist_2elist_27__01(c_27type_2econSem_2ev_27__00),c_27type_2eoption_2eoption_27__01(c_27type_2esemanticPrimitives_2eerror__result_27__01(c_27type_2econSem_2ev_27__00)))),c_27const_2econSem_2eevaluate__decs_27__03(s__02(c_27type_2econSem_2eenvironment_27__00,V_27env_27),s__02(c_27type_2econSem_2estate_27__01(V_27A_27),V_27s_27),s__02(c_27type_2elist_2elist_27__01(c_27type_2econLang_2edec_27__00),V_27prog_27))))))))),s__02(c_27type_2elist_2elist_27__01(c_27type_2effi_2eio__event_27__00),c_27const_2effi_2effi__state__io__events_27__01(s__02(c_27type_2effi_2effi__state_27__01(V_27A_27),c_27const_2econSem_2estate__ffi_27__01(s__02(c_27type_2econSem_2estate_27__01(V_27A_27),c_27const_2epair_2eFST_27__01(s__02(c_27type_2epair_2eprod_27__02(c_27type_2econSem_2estate_27__01(V_27A_27),c_27type_2epair_2eprod_27__02(c_27type_2elist_2elist_27__01(c_27type_2econSem_2ev_27__00),c_27type_2eoption_2eoption_27__01(c_27type_2esemanticPrimitives_2eerror__result_27__01(c_27type_2econSem_2ev_27__00)))),c_27const_2econSem_2eevaluate__decs_27__03(s__02(c_27type_2econSem_2eenvironment_27__00,V_27env_27),s__02(c_27type_2econSem_2estate_27__01(V_27A_27),c_27const_2econSem_2estate__clock__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_2earithmetic_2e_2b_27__02(s__02(c_27type_2enum_2enum_27__00,c_27const_2econSem_2estate__clock_27__01(s__02(c_27type_2econSem_2estate_27__01(V_27A_27),V_27s_27))),s__02(c_27type_2enum_2enum_27__00,V_27extra_27))))),s__02(c_27type_2econSem_2estate_27__01(V_27A_27),V_27s_27))),s__02(c_27type_2elist_2elist_27__01(c_27type_2econLang_2edec_27__00),V_27prog_27))))))))))))
      & ( p__01(s__02(cbool__00,c_27const_2eoption_2eIS__SOME_27__01(s__02(c_27type_2eoption_2eoption_27__01(c_27type_2effi_2efinal__event_27__00),c_27const_2effi_2effi__state__final__event_27__01(s__02(c_27type_2effi_2effi__state_27__01(V_27A_27),c_27const_2econSem_2estate__ffi_27__01(s__02(c_27type_2econSem_2estate_27__01(V_27A_27),c_27const_2epair_2eFST_27__01(s__02(c_27type_2epair_2eprod_27__02(c_27type_2econSem_2estate_27__01(V_27A_27),c_27type_2epair_2eprod_27__02(c_27type_2elist_2elist_27__01(c_27type_2econSem_2ev_27__00),c_27type_2eoption_2eoption_27__01(c_27type_2esemanticPrimitives_2eerror__result_27__01(c_27type_2econSem_2ev_27__00)))),c_27const_2econSem_2eevaluate__decs_27__03(s__02(c_27type_2econSem_2eenvironment_27__00,V_27env_27),s__02(c_27type_2econSem_2estate_27__01(V_27A_27),V_27s_27),s__02(c_27type_2elist_2elist_27__01(c_27type_2econLang_2edec_27__00),V_27prog_27))))))))))))
       => s__02(c_27type_2effi_2effi__state_27__01(V_27A_27),c_27const_2econSem_2estate__ffi_27__01(s__02(c_27type_2econSem_2estate_27__01(V_27A_27),c_27const_2epair_2eFST_27__01(s__02(c_27type_2epair_2eprod_27__02(c_27type_2econSem_2estate_27__01(V_27A_27),c_27type_2epair_2eprod_27__02(c_27type_2elist_2elist_27__01(c_27type_2econSem_2ev_27__00),c_27type_2eoption_2eoption_27__01(c_27type_2esemanticPrimitives_2eerror__result_27__01(c_27type_2econSem_2ev_27__00)))),c_27const_2econSem_2eevaluate__decs_27__03(s__02(c_27type_2econSem_2eenvironment_27__00,V_27env_27),s__02(c_27type_2econSem_2estate_27__01(V_27A_27),c_27const_2econSem_2estate__clock__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_2earithmetic_2e_2b_27__02(s__02(c_27type_2enum_2enum_27__00,c_27const_2econSem_2estate__clock_27__01(s__02(c_27type_2econSem_2estate_27__01(V_27A_27),V_27s_27))),s__02(c_27type_2enum_2enum_27__00,V_27extra_27))))),s__02(c_27type_2econSem_2estate_27__01(V_27A_27),V_27s_27))),s__02(c_27type_2elist_2elist_27__01(c_27type_2econLang_2edec_27__00),V_27prog_27))))))) = s__02(c_27type_2effi_2effi__state_27__01(V_27A_27),c_27const_2econSem_2estate__ffi_27__01(s__02(c_27type_2econSem_2estate_27__01(V_27A_27),c_27const_2epair_2eFST_27__01(s__02(c_27type_2epair_2eprod_27__02(c_27type_2econSem_2estate_27__01(V_27A_27),c_27type_2epair_2eprod_27__02(c_27type_2elist_2elist_27__01(c_27type_2econSem_2ev_27__00),c_27type_2eoption_2eoption_27__01(c_27type_2esemanticPrimitives_2eerror__result_27__01(c_27type_2econSem_2ev_27__00)))),c_27const_2econSem_2eevaluate__decs_27__03(s__02(c_27type_2econSem_2eenvironment_27__00,V_27env_27),s__02(c_27type_2econSem_2estate_27__01(V_27A_27),V_27s_27),s__02(c_27type_2elist_2elist_27__01(c_27type_2econLang_2edec_27__00),V_27prog_27))))))) ) ) ).

fof(conjecture,conjecture,
    ! [V_27A_27,V_27env_27,V_27s_27,V_27prog_27,V_27extra_27] :
      ( p__01(s__02(cbool__00,c_27const_2elist_2eisPREFIX_27__02(s__02(c_27type_2elist_2elist_27__01(c_27type_2effi_2eio__event_27__00),c_27const_2effi_2effi__state__io__events_27__01(s__02(c_27type_2effi_2effi__state_27__01(V_27A_27),c_27const_2econSem_2estate__ffi_27__01(s__02(c_27type_2econSem_2estate_27__01(V_27A_27),c_27const_2epair_2eFST_27__01(s__02(c_27type_2epair_2eprod_27__02(c_27type_2econSem_2estate_27__01(V_27A_27),c_27type_2epair_2eprod_27__02(c_27type_2elist_2elist_27__01(c_27type_2eoption_2eoption_27__01(c_27type_2econSem_2ev_27__00)),c_27type_2eoption_2eoption_27__01(c_27type_2esemanticPrimitives_2eerror__result_27__01(c_27type_2econSem_2ev_27__00)))),c_27const_2econSem_2eevaluate__prompt_27__03(s__02(c_27type_2econSem_2eenvironment_27__00,V_27env_27),s__02(c_27type_2econSem_2estate_27__01(V_27A_27),V_27s_27),s__02(c_27type_2econLang_2eprompt_27__00,V_27prog_27))))))))),s__02(c_27type_2elist_2elist_27__01(c_27type_2effi_2eio__event_27__00),c_27const_2effi_2effi__state__io__events_27__01(s__02(c_27type_2effi_2effi__state_27__01(V_27A_27),c_27const_2econSem_2estate__ffi_27__01(s__02(c_27type_2econSem_2estate_27__01(V_27A_27),c_27const_2epair_2eFST_27__01(s__02(c_27type_2epair_2eprod_27__02(c_27type_2econSem_2estate_27__01(V_27A_27),c_27type_2epair_2eprod_27__02(c_27type_2elist_2elist_27__01(c_27type_2eoption_2eoption_27__01(c_27type_2econSem_2ev_27__00)),c_27type_2eoption_2eoption_27__01(c_27type_2esemanticPrimitives_2eerror__result_27__01(c_27type_2econSem_2ev_27__00)))),c_27const_2econSem_2eevaluate__prompt_27__03(s__02(c_27type_2econSem_2eenvironment_27__00,V_27env_27),s__02(c_27type_2econSem_2estate_27__01(V_27A_27),c_27const_2econSem_2estate__clock__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_2earithmetic_2e_2b_27__02(s__02(c_27type_2enum_2enum_27__00,c_27const_2econSem_2estate__clock_27__01(s__02(c_27type_2econSem_2estate_27__01(V_27A_27),V_27s_27))),s__02(c_27type_2enum_2enum_27__00,V_27extra_27))))),s__02(c_27type_2econSem_2estate_27__01(V_27A_27),V_27s_27))),s__02(c_27type_2econLang_2eprompt_27__00,V_27prog_27))))))))))))
      & ( p__01(s__02(cbool__00,c_27const_2eoption_2eIS__SOME_27__01(s__02(c_27type_2eoption_2eoption_27__01(c_27type_2effi_2efinal__event_27__00),c_27const_2effi_2effi__state__final__event_27__01(s__02(c_27type_2effi_2effi__state_27__01(V_27A_27),c_27const_2econSem_2estate__ffi_27__01(s__02(c_27type_2econSem_2estate_27__01(V_27A_27),c_27const_2epair_2eFST_27__01(s__02(c_27type_2epair_2eprod_27__02(c_27type_2econSem_2estate_27__01(V_27A_27),c_27type_2epair_2eprod_27__02(c_27type_2elist_2elist_27__01(c_27type_2eoption_2eoption_27__01(c_27type_2econSem_2ev_27__00)),c_27type_2eoption_2eoption_27__01(c_27type_2esemanticPrimitives_2eerror__result_27__01(c_27type_2econSem_2ev_27__00)))),c_27const_2econSem_2eevaluate__prompt_27__03(s__02(c_27type_2econSem_2eenvironment_27__00,V_27env_27),s__02(c_27type_2econSem_2estate_27__01(V_27A_27),V_27s_27),s__02(c_27type_2econLang_2eprompt_27__00,V_27prog_27))))))))))))
       => s__02(c_27type_2effi_2effi__state_27__01(V_27A_27),c_27const_2econSem_2estate__ffi_27__01(s__02(c_27type_2econSem_2estate_27__01(V_27A_27),c_27const_2epair_2eFST_27__01(s__02(c_27type_2epair_2eprod_27__02(c_27type_2econSem_2estate_27__01(V_27A_27),c_27type_2epair_2eprod_27__02(c_27type_2elist_2elist_27__01(c_27type_2eoption_2eoption_27__01(c_27type_2econSem_2ev_27__00)),c_27type_2eoption_2eoption_27__01(c_27type_2esemanticPrimitives_2eerror__result_27__01(c_27type_2econSem_2ev_27__00)))),c_27const_2econSem_2eevaluate__prompt_27__03(s__02(c_27type_2econSem_2eenvironment_27__00,V_27env_27),s__02(c_27type_2econSem_2estate_27__01(V_27A_27),c_27const_2econSem_2estate__clock__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_2earithmetic_2e_2b_27__02(s__02(c_27type_2enum_2enum_27__00,c_27const_2econSem_2estate__clock_27__01(s__02(c_27type_2econSem_2estate_27__01(V_27A_27),V_27s_27))),s__02(c_27type_2enum_2enum_27__00,V_27extra_27))))),s__02(c_27type_2econSem_2estate_27__01(V_27A_27),V_27s_27))),s__02(c_27type_2econLang_2eprompt_27__00,V_27prog_27))))))) = s__02(c_27type_2effi_2effi__state_27__01(V_27A_27),c_27const_2econSem_2estate__ffi_27__01(s__02(c_27type_2econSem_2estate_27__01(V_27A_27),c_27const_2epair_2eFST_27__01(s__02(c_27type_2epair_2eprod_27__02(c_27type_2econSem_2estate_27__01(V_27A_27),c_27type_2epair_2eprod_27__02(c_27type_2elist_2elist_27__01(c_27type_2eoption_2eoption_27__01(c_27type_2econSem_2ev_27__00)),c_27type_2eoption_2eoption_27__01(c_27type_2esemanticPrimitives_2eerror__result_27__01(c_27type_2econSem_2ev_27__00)))),c_27const_2econSem_2eevaluate__prompt_27__03(s__02(c_27type_2econSem_2eenvironment_27__00,V_27env_27),s__02(c_27type_2econSem_2estate_27__01(V_27A_27),V_27s_27),s__02(c_27type_2econLang_2eprompt_27__00,V_27prog_27))))))) ) ) ).

%------------------------------------------------------------------------------