TPTP Problem File: SWW886+1.p
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%------------------------------------------------------------------------------
% File : SWW886+1 : TPTP v8.2.0. 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))))))) ) ) ).
%------------------------------------------------------------------------------