TPTP Problem File: SWW915+1.p

View Solutions - Solve Problem

%------------------------------------------------------------------------------
% File     : SWW915+1 : TPTP v8.2.0. Released v7.3.0.
% Domain   : Software Verification
% Problem  : clos_knownProof__11__mapped_globals_ffiupdate__dep
% Version  : Especial.
% English  :

% Refs     : [Kum18] Kumar (2018), Email to Geoff Sutcliffe
% Source   : [Kum18]
% Names    : clos_knownProof__11__mapped_globals_ffiupdate__dep [Kum18]

% Status   : CounterSatisfiable
% Rating   : 0.00 v7.5.0, 0.60 v7.4.0, 0.33 v7.3.0
% Syntax   : Number of formulae    :    9 (   4 unt;   0 def)
%            Number of atoms       :   50 (  45 equ)
%            Maximal formula atoms :   36 (   5 avg)
%            Number of connectives :   42 (   1   ~;   1   |;  36   &)
%                                         (   2 <=>;   2  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   40 (   8 avg)
%            Maximal term depth    :    9 (   3 avg)
%            Number of predicates  :    2 (   1 usr;   0 prp; 1-2 aty)
%            Number of functors    :   33 (  33 usr;   6 con; 0-2 aty)
%            Number of variables   :   93 (  91   !;   2   ?)
% 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.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.closSem.state_accfupds',axiom,
    ! [V_27FFI0_27,V_27FFI_27] :
      ( ! [V_27s_27,V_27f_27] : s__02(c_27type_2elist_2elist_27__01(c_27type_2eoption_2eoption_27__01(c_27type_2eclosSem_2ev_27__00)),c_27const_2eclosSem_2estate__globals_27__01(s__02(c_27type_2eclosSem_2estate_27__01(V_27FFI_27),c_27const_2eclosSem_2estate__refs__fupd_27__02(s__02(cfun__02(c_27type_2efinite__map_2efmap_27__02(c_27type_2enum_2enum_27__00,c_27type_2eclosSem_2eref_27__01(c_27type_2eclosSem_2ev_27__00)),c_27type_2efinite__map_2efmap_27__02(c_27type_2enum_2enum_27__00,c_27type_2eclosSem_2eref_27__01(c_27type_2eclosSem_2ev_27__00))),V_27f_27),s__02(c_27type_2eclosSem_2estate_27__01(V_27FFI_27),V_27s_27))))) = s__02(c_27type_2elist_2elist_27__01(c_27type_2eoption_2eoption_27__01(c_27type_2eclosSem_2ev_27__00)),c_27const_2eclosSem_2estate__globals_27__01(s__02(c_27type_2eclosSem_2estate_27__01(V_27FFI_27),V_27s_27)))
      & ! [V_27s_27,V_27f_27] : s__02(c_27type_2elist_2elist_27__01(c_27type_2eoption_2eoption_27__01(c_27type_2eclosSem_2ev_27__00)),c_27const_2eclosSem_2estate__globals_27__01(s__02(c_27type_2eclosSem_2estate_27__01(V_27FFI0_27),c_27const_2eclosSem_2estate__ffi__fupd_27__02(s__02(cfun__02(c_27type_2effi_2effi__state_27__01(V_27FFI_27),c_27type_2effi_2effi__state_27__01(V_27FFI0_27)),V_27f_27),s__02(c_27type_2eclosSem_2estate_27__01(V_27FFI_27),V_27s_27))))) = s__02(c_27type_2elist_2elist_27__01(c_27type_2eoption_2eoption_27__01(c_27type_2eclosSem_2ev_27__00)),c_27const_2eclosSem_2estate__globals_27__01(s__02(c_27type_2eclosSem_2estate_27__01(V_27FFI_27),V_27s_27)))
      & ! [V_27s_27,V_27f_27] : s__02(c_27type_2elist_2elist_27__01(c_27type_2eoption_2eoption_27__01(c_27type_2eclosSem_2ev_27__00)),c_27const_2eclosSem_2estate__globals_27__01(s__02(c_27type_2eclosSem_2estate_27__01(V_27FFI_27),c_27const_2eclosSem_2estate__clock__fupd_27__02(s__02(cfun__02(c_27type_2enum_2enum_27__00,c_27type_2enum_2enum_27__00),V_27f_27),s__02(c_27type_2eclosSem_2estate_27__01(V_27FFI_27),V_27s_27))))) = s__02(c_27type_2elist_2elist_27__01(c_27type_2eoption_2eoption_27__01(c_27type_2eclosSem_2ev_27__00)),c_27const_2eclosSem_2estate__globals_27__01(s__02(c_27type_2eclosSem_2estate_27__01(V_27FFI_27),V_27s_27)))
      & ! [V_27s_27,V_27f_27] : s__02(c_27type_2elist_2elist_27__01(c_27type_2eoption_2eoption_27__01(c_27type_2eclosSem_2ev_27__00)),c_27const_2eclosSem_2estate__globals_27__01(s__02(c_27type_2eclosSem_2estate_27__01(V_27FFI_27),c_27const_2eclosSem_2estate__code__fupd_27__02(s__02(cfun__02(c_27type_2efinite__map_2efmap_27__02(c_27type_2enum_2enum_27__00,c_27type_2epair_2eprod_27__02(c_27type_2enum_2enum_27__00,c_27type_2eclosLang_2eexp_27__00)),c_27type_2efinite__map_2efmap_27__02(c_27type_2enum_2enum_27__00,c_27type_2epair_2eprod_27__02(c_27type_2enum_2enum_27__00,c_27type_2eclosLang_2eexp_27__00))),V_27f_27),s__02(c_27type_2eclosSem_2estate_27__01(V_27FFI_27),V_27s_27))))) = s__02(c_27type_2elist_2elist_27__01(c_27type_2eoption_2eoption_27__01(c_27type_2eclosSem_2ev_27__00)),c_27const_2eclosSem_2estate__globals_27__01(s__02(c_27type_2eclosSem_2estate_27__01(V_27FFI_27),V_27s_27)))
      & ! [V_27s_27,V_27f_27] : s__02(c_27type_2elist_2elist_27__01(c_27type_2eoption_2eoption_27__01(c_27type_2eclosSem_2ev_27__00)),c_27const_2eclosSem_2estate__globals_27__01(s__02(c_27type_2eclosSem_2estate_27__01(V_27FFI_27),c_27const_2eclosSem_2estate__max__app__fupd_27__02(s__02(cfun__02(c_27type_2enum_2enum_27__00,c_27type_2enum_2enum_27__00),V_27f_27),s__02(c_27type_2eclosSem_2estate_27__01(V_27FFI_27),V_27s_27))))) = s__02(c_27type_2elist_2elist_27__01(c_27type_2eoption_2eoption_27__01(c_27type_2eclosSem_2ev_27__00)),c_27const_2eclosSem_2estate__globals_27__01(s__02(c_27type_2eclosSem_2estate_27__01(V_27FFI_27),V_27s_27)))
      & ! [V_27s_27,V_27f_27] : s__02(c_27type_2efinite__map_2efmap_27__02(c_27type_2enum_2enum_27__00,c_27type_2eclosSem_2eref_27__01(c_27type_2eclosSem_2ev_27__00)),c_27const_2eclosSem_2estate__refs_27__01(s__02(c_27type_2eclosSem_2estate_27__01(V_27FFI_27),c_27const_2eclosSem_2estate__globals__fupd_27__02(s__02(cfun__02(c_27type_2elist_2elist_27__01(c_27type_2eoption_2eoption_27__01(c_27type_2eclosSem_2ev_27__00)),c_27type_2elist_2elist_27__01(c_27type_2eoption_2eoption_27__01(c_27type_2eclosSem_2ev_27__00))),V_27f_27),s__02(c_27type_2eclosSem_2estate_27__01(V_27FFI_27),V_27s_27))))) = s__02(c_27type_2efinite__map_2efmap_27__02(c_27type_2enum_2enum_27__00,c_27type_2eclosSem_2eref_27__01(c_27type_2eclosSem_2ev_27__00)),c_27const_2eclosSem_2estate__refs_27__01(s__02(c_27type_2eclosSem_2estate_27__01(V_27FFI_27),V_27s_27)))
      & ! [V_27s_27,V_27f_27] : s__02(c_27type_2efinite__map_2efmap_27__02(c_27type_2enum_2enum_27__00,c_27type_2eclosSem_2eref_27__01(c_27type_2eclosSem_2ev_27__00)),c_27const_2eclosSem_2estate__refs_27__01(s__02(c_27type_2eclosSem_2estate_27__01(V_27FFI0_27),c_27const_2eclosSem_2estate__ffi__fupd_27__02(s__02(cfun__02(c_27type_2effi_2effi__state_27__01(V_27FFI_27),c_27type_2effi_2effi__state_27__01(V_27FFI0_27)),V_27f_27),s__02(c_27type_2eclosSem_2estate_27__01(V_27FFI_27),V_27s_27))))) = s__02(c_27type_2efinite__map_2efmap_27__02(c_27type_2enum_2enum_27__00,c_27type_2eclosSem_2eref_27__01(c_27type_2eclosSem_2ev_27__00)),c_27const_2eclosSem_2estate__refs_27__01(s__02(c_27type_2eclosSem_2estate_27__01(V_27FFI_27),V_27s_27)))
      & ! [V_27s_27,V_27f_27] : s__02(c_27type_2efinite__map_2efmap_27__02(c_27type_2enum_2enum_27__00,c_27type_2eclosSem_2eref_27__01(c_27type_2eclosSem_2ev_27__00)),c_27const_2eclosSem_2estate__refs_27__01(s__02(c_27type_2eclosSem_2estate_27__01(V_27FFI_27),c_27const_2eclosSem_2estate__clock__fupd_27__02(s__02(cfun__02(c_27type_2enum_2enum_27__00,c_27type_2enum_2enum_27__00),V_27f_27),s__02(c_27type_2eclosSem_2estate_27__01(V_27FFI_27),V_27s_27))))) = s__02(c_27type_2efinite__map_2efmap_27__02(c_27type_2enum_2enum_27__00,c_27type_2eclosSem_2eref_27__01(c_27type_2eclosSem_2ev_27__00)),c_27const_2eclosSem_2estate__refs_27__01(s__02(c_27type_2eclosSem_2estate_27__01(V_27FFI_27),V_27s_27)))
      & ! [V_27s_27,V_27f_27] : s__02(c_27type_2efinite__map_2efmap_27__02(c_27type_2enum_2enum_27__00,c_27type_2eclosSem_2eref_27__01(c_27type_2eclosSem_2ev_27__00)),c_27const_2eclosSem_2estate__refs_27__01(s__02(c_27type_2eclosSem_2estate_27__01(V_27FFI_27),c_27const_2eclosSem_2estate__code__fupd_27__02(s__02(cfun__02(c_27type_2efinite__map_2efmap_27__02(c_27type_2enum_2enum_27__00,c_27type_2epair_2eprod_27__02(c_27type_2enum_2enum_27__00,c_27type_2eclosLang_2eexp_27__00)),c_27type_2efinite__map_2efmap_27__02(c_27type_2enum_2enum_27__00,c_27type_2epair_2eprod_27__02(c_27type_2enum_2enum_27__00,c_27type_2eclosLang_2eexp_27__00))),V_27f_27),s__02(c_27type_2eclosSem_2estate_27__01(V_27FFI_27),V_27s_27))))) = s__02(c_27type_2efinite__map_2efmap_27__02(c_27type_2enum_2enum_27__00,c_27type_2eclosSem_2eref_27__01(c_27type_2eclosSem_2ev_27__00)),c_27const_2eclosSem_2estate__refs_27__01(s__02(c_27type_2eclosSem_2estate_27__01(V_27FFI_27),V_27s_27)))
      & ! [V_27s_27,V_27f_27] : s__02(c_27type_2efinite__map_2efmap_27__02(c_27type_2enum_2enum_27__00,c_27type_2eclosSem_2eref_27__01(c_27type_2eclosSem_2ev_27__00)),c_27const_2eclosSem_2estate__refs_27__01(s__02(c_27type_2eclosSem_2estate_27__01(V_27FFI_27),c_27const_2eclosSem_2estate__max__app__fupd_27__02(s__02(cfun__02(c_27type_2enum_2enum_27__00,c_27type_2enum_2enum_27__00),V_27f_27),s__02(c_27type_2eclosSem_2estate_27__01(V_27FFI_27),V_27s_27))))) = s__02(c_27type_2efinite__map_2efmap_27__02(c_27type_2enum_2enum_27__00,c_27type_2eclosSem_2eref_27__01(c_27type_2eclosSem_2ev_27__00)),c_27const_2eclosSem_2estate__refs_27__01(s__02(c_27type_2eclosSem_2estate_27__01(V_27FFI_27),V_27s_27)))
      & ! [V_27s_27,V_27f_27] : s__02(c_27type_2effi_2effi__state_27__01(V_27FFI_27),c_27const_2eclosSem_2estate__ffi_27__01(s__02(c_27type_2eclosSem_2estate_27__01(V_27FFI_27),c_27const_2eclosSem_2estate__globals__fupd_27__02(s__02(cfun__02(c_27type_2elist_2elist_27__01(c_27type_2eoption_2eoption_27__01(c_27type_2eclosSem_2ev_27__00)),c_27type_2elist_2elist_27__01(c_27type_2eoption_2eoption_27__01(c_27type_2eclosSem_2ev_27__00))),V_27f_27),s__02(c_27type_2eclosSem_2estate_27__01(V_27FFI_27),V_27s_27))))) = s__02(c_27type_2effi_2effi__state_27__01(V_27FFI_27),c_27const_2eclosSem_2estate__ffi_27__01(s__02(c_27type_2eclosSem_2estate_27__01(V_27FFI_27),V_27s_27)))
      & ! [V_27s_27,V_27f_27] : s__02(c_27type_2effi_2effi__state_27__01(V_27FFI_27),c_27const_2eclosSem_2estate__ffi_27__01(s__02(c_27type_2eclosSem_2estate_27__01(V_27FFI_27),c_27const_2eclosSem_2estate__refs__fupd_27__02(s__02(cfun__02(c_27type_2efinite__map_2efmap_27__02(c_27type_2enum_2enum_27__00,c_27type_2eclosSem_2eref_27__01(c_27type_2eclosSem_2ev_27__00)),c_27type_2efinite__map_2efmap_27__02(c_27type_2enum_2enum_27__00,c_27type_2eclosSem_2eref_27__01(c_27type_2eclosSem_2ev_27__00))),V_27f_27),s__02(c_27type_2eclosSem_2estate_27__01(V_27FFI_27),V_27s_27))))) = s__02(c_27type_2effi_2effi__state_27__01(V_27FFI_27),c_27const_2eclosSem_2estate__ffi_27__01(s__02(c_27type_2eclosSem_2estate_27__01(V_27FFI_27),V_27s_27)))
      & ! [V_27s_27,V_27f_27] : s__02(c_27type_2effi_2effi__state_27__01(V_27FFI_27),c_27const_2eclosSem_2estate__ffi_27__01(s__02(c_27type_2eclosSem_2estate_27__01(V_27FFI_27),c_27const_2eclosSem_2estate__clock__fupd_27__02(s__02(cfun__02(c_27type_2enum_2enum_27__00,c_27type_2enum_2enum_27__00),V_27f_27),s__02(c_27type_2eclosSem_2estate_27__01(V_27FFI_27),V_27s_27))))) = s__02(c_27type_2effi_2effi__state_27__01(V_27FFI_27),c_27const_2eclosSem_2estate__ffi_27__01(s__02(c_27type_2eclosSem_2estate_27__01(V_27FFI_27),V_27s_27)))
      & ! [V_27s_27,V_27f_27] : s__02(c_27type_2effi_2effi__state_27__01(V_27FFI_27),c_27const_2eclosSem_2estate__ffi_27__01(s__02(c_27type_2eclosSem_2estate_27__01(V_27FFI_27),c_27const_2eclosSem_2estate__code__fupd_27__02(s__02(cfun__02(c_27type_2efinite__map_2efmap_27__02(c_27type_2enum_2enum_27__00,c_27type_2epair_2eprod_27__02(c_27type_2enum_2enum_27__00,c_27type_2eclosLang_2eexp_27__00)),c_27type_2efinite__map_2efmap_27__02(c_27type_2enum_2enum_27__00,c_27type_2epair_2eprod_27__02(c_27type_2enum_2enum_27__00,c_27type_2eclosLang_2eexp_27__00))),V_27f_27),s__02(c_27type_2eclosSem_2estate_27__01(V_27FFI_27),V_27s_27))))) = s__02(c_27type_2effi_2effi__state_27__01(V_27FFI_27),c_27const_2eclosSem_2estate__ffi_27__01(s__02(c_27type_2eclosSem_2estate_27__01(V_27FFI_27),V_27s_27)))
      & ! [V_27s_27,V_27f_27] : s__02(c_27type_2effi_2effi__state_27__01(V_27FFI_27),c_27const_2eclosSem_2estate__ffi_27__01(s__02(c_27type_2eclosSem_2estate_27__01(V_27FFI_27),c_27const_2eclosSem_2estate__max__app__fupd_27__02(s__02(cfun__02(c_27type_2enum_2enum_27__00,c_27type_2enum_2enum_27__00),V_27f_27),s__02(c_27type_2eclosSem_2estate_27__01(V_27FFI_27),V_27s_27))))) = s__02(c_27type_2effi_2effi__state_27__01(V_27FFI_27),c_27const_2eclosSem_2estate__ffi_27__01(s__02(c_27type_2eclosSem_2estate_27__01(V_27FFI_27),V_27s_27)))
      & ! [V_27s_27,V_27f_27] : s__02(c_27type_2enum_2enum_27__00,c_27const_2eclosSem_2estate__clock_27__01(s__02(c_27type_2eclosSem_2estate_27__01(V_27FFI_27),c_27const_2eclosSem_2estate__globals__fupd_27__02(s__02(cfun__02(c_27type_2elist_2elist_27__01(c_27type_2eoption_2eoption_27__01(c_27type_2eclosSem_2ev_27__00)),c_27type_2elist_2elist_27__01(c_27type_2eoption_2eoption_27__01(c_27type_2eclosSem_2ev_27__00))),V_27f_27),s__02(c_27type_2eclosSem_2estate_27__01(V_27FFI_27),V_27s_27))))) = s__02(c_27type_2enum_2enum_27__00,c_27const_2eclosSem_2estate__clock_27__01(s__02(c_27type_2eclosSem_2estate_27__01(V_27FFI_27),V_27s_27)))
      & ! [V_27s_27,V_27f_27] : s__02(c_27type_2enum_2enum_27__00,c_27const_2eclosSem_2estate__clock_27__01(s__02(c_27type_2eclosSem_2estate_27__01(V_27FFI_27),c_27const_2eclosSem_2estate__refs__fupd_27__02(s__02(cfun__02(c_27type_2efinite__map_2efmap_27__02(c_27type_2enum_2enum_27__00,c_27type_2eclosSem_2eref_27__01(c_27type_2eclosSem_2ev_27__00)),c_27type_2efinite__map_2efmap_27__02(c_27type_2enum_2enum_27__00,c_27type_2eclosSem_2eref_27__01(c_27type_2eclosSem_2ev_27__00))),V_27f_27),s__02(c_27type_2eclosSem_2estate_27__01(V_27FFI_27),V_27s_27))))) = s__02(c_27type_2enum_2enum_27__00,c_27const_2eclosSem_2estate__clock_27__01(s__02(c_27type_2eclosSem_2estate_27__01(V_27FFI_27),V_27s_27)))
      & ! [V_27s_27,V_27f_27] : s__02(c_27type_2enum_2enum_27__00,c_27const_2eclosSem_2estate__clock_27__01(s__02(c_27type_2eclosSem_2estate_27__01(V_27FFI0_27),c_27const_2eclosSem_2estate__ffi__fupd_27__02(s__02(cfun__02(c_27type_2effi_2effi__state_27__01(V_27FFI_27),c_27type_2effi_2effi__state_27__01(V_27FFI0_27)),V_27f_27),s__02(c_27type_2eclosSem_2estate_27__01(V_27FFI_27),V_27s_27))))) = s__02(c_27type_2enum_2enum_27__00,c_27const_2eclosSem_2estate__clock_27__01(s__02(c_27type_2eclosSem_2estate_27__01(V_27FFI_27),V_27s_27)))
      & ! [V_27s_27,V_27f_27] : s__02(c_27type_2enum_2enum_27__00,c_27const_2eclosSem_2estate__clock_27__01(s__02(c_27type_2eclosSem_2estate_27__01(V_27FFI_27),c_27const_2eclosSem_2estate__code__fupd_27__02(s__02(cfun__02(c_27type_2efinite__map_2efmap_27__02(c_27type_2enum_2enum_27__00,c_27type_2epair_2eprod_27__02(c_27type_2enum_2enum_27__00,c_27type_2eclosLang_2eexp_27__00)),c_27type_2efinite__map_2efmap_27__02(c_27type_2enum_2enum_27__00,c_27type_2epair_2eprod_27__02(c_27type_2enum_2enum_27__00,c_27type_2eclosLang_2eexp_27__00))),V_27f_27),s__02(c_27type_2eclosSem_2estate_27__01(V_27FFI_27),V_27s_27))))) = s__02(c_27type_2enum_2enum_27__00,c_27const_2eclosSem_2estate__clock_27__01(s__02(c_27type_2eclosSem_2estate_27__01(V_27FFI_27),V_27s_27)))
      & ! [V_27s_27,V_27f_27] : s__02(c_27type_2enum_2enum_27__00,c_27const_2eclosSem_2estate__clock_27__01(s__02(c_27type_2eclosSem_2estate_27__01(V_27FFI_27),c_27const_2eclosSem_2estate__max__app__fupd_27__02(s__02(cfun__02(c_27type_2enum_2enum_27__00,c_27type_2enum_2enum_27__00),V_27f_27),s__02(c_27type_2eclosSem_2estate_27__01(V_27FFI_27),V_27s_27))))) = s__02(c_27type_2enum_2enum_27__00,c_27const_2eclosSem_2estate__clock_27__01(s__02(c_27type_2eclosSem_2estate_27__01(V_27FFI_27),V_27s_27)))
      & ! [V_27s_27,V_27f_27] : s__02(c_27type_2efinite__map_2efmap_27__02(c_27type_2enum_2enum_27__00,c_27type_2epair_2eprod_27__02(c_27type_2enum_2enum_27__00,c_27type_2eclosLang_2eexp_27__00)),c_27const_2eclosSem_2estate__code_27__01(s__02(c_27type_2eclosSem_2estate_27__01(V_27FFI_27),c_27const_2eclosSem_2estate__globals__fupd_27__02(s__02(cfun__02(c_27type_2elist_2elist_27__01(c_27type_2eoption_2eoption_27__01(c_27type_2eclosSem_2ev_27__00)),c_27type_2elist_2elist_27__01(c_27type_2eoption_2eoption_27__01(c_27type_2eclosSem_2ev_27__00))),V_27f_27),s__02(c_27type_2eclosSem_2estate_27__01(V_27FFI_27),V_27s_27))))) = s__02(c_27type_2efinite__map_2efmap_27__02(c_27type_2enum_2enum_27__00,c_27type_2epair_2eprod_27__02(c_27type_2enum_2enum_27__00,c_27type_2eclosLang_2eexp_27__00)),c_27const_2eclosSem_2estate__code_27__01(s__02(c_27type_2eclosSem_2estate_27__01(V_27FFI_27),V_27s_27)))
      & ! [V_27s_27,V_27f_27] : s__02(c_27type_2efinite__map_2efmap_27__02(c_27type_2enum_2enum_27__00,c_27type_2epair_2eprod_27__02(c_27type_2enum_2enum_27__00,c_27type_2eclosLang_2eexp_27__00)),c_27const_2eclosSem_2estate__code_27__01(s__02(c_27type_2eclosSem_2estate_27__01(V_27FFI_27),c_27const_2eclosSem_2estate__refs__fupd_27__02(s__02(cfun__02(c_27type_2efinite__map_2efmap_27__02(c_27type_2enum_2enum_27__00,c_27type_2eclosSem_2eref_27__01(c_27type_2eclosSem_2ev_27__00)),c_27type_2efinite__map_2efmap_27__02(c_27type_2enum_2enum_27__00,c_27type_2eclosSem_2eref_27__01(c_27type_2eclosSem_2ev_27__00))),V_27f_27),s__02(c_27type_2eclosSem_2estate_27__01(V_27FFI_27),V_27s_27))))) = s__02(c_27type_2efinite__map_2efmap_27__02(c_27type_2enum_2enum_27__00,c_27type_2epair_2eprod_27__02(c_27type_2enum_2enum_27__00,c_27type_2eclosLang_2eexp_27__00)),c_27const_2eclosSem_2estate__code_27__01(s__02(c_27type_2eclosSem_2estate_27__01(V_27FFI_27),V_27s_27)))
      & ! [V_27s_27,V_27f_27] : s__02(c_27type_2efinite__map_2efmap_27__02(c_27type_2enum_2enum_27__00,c_27type_2epair_2eprod_27__02(c_27type_2enum_2enum_27__00,c_27type_2eclosLang_2eexp_27__00)),c_27const_2eclosSem_2estate__code_27__01(s__02(c_27type_2eclosSem_2estate_27__01(V_27FFI0_27),c_27const_2eclosSem_2estate__ffi__fupd_27__02(s__02(cfun__02(c_27type_2effi_2effi__state_27__01(V_27FFI_27),c_27type_2effi_2effi__state_27__01(V_27FFI0_27)),V_27f_27),s__02(c_27type_2eclosSem_2estate_27__01(V_27FFI_27),V_27s_27))))) = s__02(c_27type_2efinite__map_2efmap_27__02(c_27type_2enum_2enum_27__00,c_27type_2epair_2eprod_27__02(c_27type_2enum_2enum_27__00,c_27type_2eclosLang_2eexp_27__00)),c_27const_2eclosSem_2estate__code_27__01(s__02(c_27type_2eclosSem_2estate_27__01(V_27FFI_27),V_27s_27)))
      & ! [V_27s_27,V_27f_27] : s__02(c_27type_2efinite__map_2efmap_27__02(c_27type_2enum_2enum_27__00,c_27type_2epair_2eprod_27__02(c_27type_2enum_2enum_27__00,c_27type_2eclosLang_2eexp_27__00)),c_27const_2eclosSem_2estate__code_27__01(s__02(c_27type_2eclosSem_2estate_27__01(V_27FFI_27),c_27const_2eclosSem_2estate__clock__fupd_27__02(s__02(cfun__02(c_27type_2enum_2enum_27__00,c_27type_2enum_2enum_27__00),V_27f_27),s__02(c_27type_2eclosSem_2estate_27__01(V_27FFI_27),V_27s_27))))) = s__02(c_27type_2efinite__map_2efmap_27__02(c_27type_2enum_2enum_27__00,c_27type_2epair_2eprod_27__02(c_27type_2enum_2enum_27__00,c_27type_2eclosLang_2eexp_27__00)),c_27const_2eclosSem_2estate__code_27__01(s__02(c_27type_2eclosSem_2estate_27__01(V_27FFI_27),V_27s_27)))
      & ! [V_27s_27,V_27f_27] : s__02(c_27type_2efinite__map_2efmap_27__02(c_27type_2enum_2enum_27__00,c_27type_2epair_2eprod_27__02(c_27type_2enum_2enum_27__00,c_27type_2eclosLang_2eexp_27__00)),c_27const_2eclosSem_2estate__code_27__01(s__02(c_27type_2eclosSem_2estate_27__01(V_27FFI_27),c_27const_2eclosSem_2estate__max__app__fupd_27__02(s__02(cfun__02(c_27type_2enum_2enum_27__00,c_27type_2enum_2enum_27__00),V_27f_27),s__02(c_27type_2eclosSem_2estate_27__01(V_27FFI_27),V_27s_27))))) = s__02(c_27type_2efinite__map_2efmap_27__02(c_27type_2enum_2enum_27__00,c_27type_2epair_2eprod_27__02(c_27type_2enum_2enum_27__00,c_27type_2eclosLang_2eexp_27__00)),c_27const_2eclosSem_2estate__code_27__01(s__02(c_27type_2eclosSem_2estate_27__01(V_27FFI_27),V_27s_27)))
      & ! [V_27s_27,V_27f_27] : s__02(c_27type_2enum_2enum_27__00,c_27const_2eclosSem_2estate__max__app_27__01(s__02(c_27type_2eclosSem_2estate_27__01(V_27FFI_27),c_27const_2eclosSem_2estate__globals__fupd_27__02(s__02(cfun__02(c_27type_2elist_2elist_27__01(c_27type_2eoption_2eoption_27__01(c_27type_2eclosSem_2ev_27__00)),c_27type_2elist_2elist_27__01(c_27type_2eoption_2eoption_27__01(c_27type_2eclosSem_2ev_27__00))),V_27f_27),s__02(c_27type_2eclosSem_2estate_27__01(V_27FFI_27),V_27s_27))))) = s__02(c_27type_2enum_2enum_27__00,c_27const_2eclosSem_2estate__max__app_27__01(s__02(c_27type_2eclosSem_2estate_27__01(V_27FFI_27),V_27s_27)))
      & ! [V_27s_27,V_27f_27] : s__02(c_27type_2enum_2enum_27__00,c_27const_2eclosSem_2estate__max__app_27__01(s__02(c_27type_2eclosSem_2estate_27__01(V_27FFI_27),c_27const_2eclosSem_2estate__refs__fupd_27__02(s__02(cfun__02(c_27type_2efinite__map_2efmap_27__02(c_27type_2enum_2enum_27__00,c_27type_2eclosSem_2eref_27__01(c_27type_2eclosSem_2ev_27__00)),c_27type_2efinite__map_2efmap_27__02(c_27type_2enum_2enum_27__00,c_27type_2eclosSem_2eref_27__01(c_27type_2eclosSem_2ev_27__00))),V_27f_27),s__02(c_27type_2eclosSem_2estate_27__01(V_27FFI_27),V_27s_27))))) = s__02(c_27type_2enum_2enum_27__00,c_27const_2eclosSem_2estate__max__app_27__01(s__02(c_27type_2eclosSem_2estate_27__01(V_27FFI_27),V_27s_27)))
      & ! [V_27s_27,V_27f_27] : s__02(c_27type_2enum_2enum_27__00,c_27const_2eclosSem_2estate__max__app_27__01(s__02(c_27type_2eclosSem_2estate_27__01(V_27FFI0_27),c_27const_2eclosSem_2estate__ffi__fupd_27__02(s__02(cfun__02(c_27type_2effi_2effi__state_27__01(V_27FFI_27),c_27type_2effi_2effi__state_27__01(V_27FFI0_27)),V_27f_27),s__02(c_27type_2eclosSem_2estate_27__01(V_27FFI_27),V_27s_27))))) = s__02(c_27type_2enum_2enum_27__00,c_27const_2eclosSem_2estate__max__app_27__01(s__02(c_27type_2eclosSem_2estate_27__01(V_27FFI_27),V_27s_27)))
      & ! [V_27s_27,V_27f_27] : s__02(c_27type_2enum_2enum_27__00,c_27const_2eclosSem_2estate__max__app_27__01(s__02(c_27type_2eclosSem_2estate_27__01(V_27FFI_27),c_27const_2eclosSem_2estate__clock__fupd_27__02(s__02(cfun__02(c_27type_2enum_2enum_27__00,c_27type_2enum_2enum_27__00),V_27f_27),s__02(c_27type_2eclosSem_2estate_27__01(V_27FFI_27),V_27s_27))))) = s__02(c_27type_2enum_2enum_27__00,c_27const_2eclosSem_2estate__max__app_27__01(s__02(c_27type_2eclosSem_2estate_27__01(V_27FFI_27),V_27s_27)))
      & ! [V_27s_27,V_27f_27] : s__02(c_27type_2enum_2enum_27__00,c_27const_2eclosSem_2estate__max__app_27__01(s__02(c_27type_2eclosSem_2estate_27__01(V_27FFI_27),c_27const_2eclosSem_2estate__code__fupd_27__02(s__02(cfun__02(c_27type_2efinite__map_2efmap_27__02(c_27type_2enum_2enum_27__00,c_27type_2epair_2eprod_27__02(c_27type_2enum_2enum_27__00,c_27type_2eclosLang_2eexp_27__00)),c_27type_2efinite__map_2efmap_27__02(c_27type_2enum_2enum_27__00,c_27type_2epair_2eprod_27__02(c_27type_2enum_2enum_27__00,c_27type_2eclosLang_2eexp_27__00))),V_27f_27),s__02(c_27type_2eclosSem_2estate_27__01(V_27FFI_27),V_27s_27))))) = s__02(c_27type_2enum_2enum_27__00,c_27const_2eclosSem_2estate__max__app_27__01(s__02(c_27type_2eclosSem_2estate_27__01(V_27FFI_27),V_27s_27)))
      & ! [V_27s_27,V_27f_27] : s__02(c_27type_2elist_2elist_27__01(c_27type_2eoption_2eoption_27__01(c_27type_2eclosSem_2ev_27__00)),c_27const_2eclosSem_2estate__globals_27__01(s__02(c_27type_2eclosSem_2estate_27__01(V_27FFI_27),c_27const_2eclosSem_2estate__globals__fupd_27__02(s__02(cfun__02(c_27type_2elist_2elist_27__01(c_27type_2eoption_2eoption_27__01(c_27type_2eclosSem_2ev_27__00)),c_27type_2elist_2elist_27__01(c_27type_2eoption_2eoption_27__01(c_27type_2eclosSem_2ev_27__00))),V_27f_27),s__02(c_27type_2eclosSem_2estate_27__01(V_27FFI_27),V_27s_27))))) = s__02(c_27type_2elist_2elist_27__01(c_27type_2eoption_2eoption_27__01(c_27type_2eclosSem_2ev_27__00)),chapp__02(s__02(cfun__02(c_27type_2elist_2elist_27__01(c_27type_2eoption_2eoption_27__01(c_27type_2eclosSem_2ev_27__00)),c_27type_2elist_2elist_27__01(c_27type_2eoption_2eoption_27__01(c_27type_2eclosSem_2ev_27__00))),V_27f_27),s__02(c_27type_2elist_2elist_27__01(c_27type_2eoption_2eoption_27__01(c_27type_2eclosSem_2ev_27__00)),c_27const_2eclosSem_2estate__globals_27__01(s__02(c_27type_2eclosSem_2estate_27__01(V_27FFI_27),V_27s_27)))))
      & ! [V_27s_27,V_27f_27] : s__02(c_27type_2efinite__map_2efmap_27__02(c_27type_2enum_2enum_27__00,c_27type_2eclosSem_2eref_27__01(c_27type_2eclosSem_2ev_27__00)),c_27const_2eclosSem_2estate__refs_27__01(s__02(c_27type_2eclosSem_2estate_27__01(V_27FFI_27),c_27const_2eclosSem_2estate__refs__fupd_27__02(s__02(cfun__02(c_27type_2efinite__map_2efmap_27__02(c_27type_2enum_2enum_27__00,c_27type_2eclosSem_2eref_27__01(c_27type_2eclosSem_2ev_27__00)),c_27type_2efinite__map_2efmap_27__02(c_27type_2enum_2enum_27__00,c_27type_2eclosSem_2eref_27__01(c_27type_2eclosSem_2ev_27__00))),V_27f_27),s__02(c_27type_2eclosSem_2estate_27__01(V_27FFI_27),V_27s_27))))) = s__02(c_27type_2efinite__map_2efmap_27__02(c_27type_2enum_2enum_27__00,c_27type_2eclosSem_2eref_27__01(c_27type_2eclosSem_2ev_27__00)),chapp__02(s__02(cfun__02(c_27type_2efinite__map_2efmap_27__02(c_27type_2enum_2enum_27__00,c_27type_2eclosSem_2eref_27__01(c_27type_2eclosSem_2ev_27__00)),c_27type_2efinite__map_2efmap_27__02(c_27type_2enum_2enum_27__00,c_27type_2eclosSem_2eref_27__01(c_27type_2eclosSem_2ev_27__00))),V_27f_27),s__02(c_27type_2efinite__map_2efmap_27__02(c_27type_2enum_2enum_27__00,c_27type_2eclosSem_2eref_27__01(c_27type_2eclosSem_2ev_27__00)),c_27const_2eclosSem_2estate__refs_27__01(s__02(c_27type_2eclosSem_2estate_27__01(V_27FFI_27),V_27s_27)))))
      & ! [V_27s_27,V_27f_27] : s__02(c_27type_2effi_2effi__state_27__01(V_27FFI0_27),c_27const_2eclosSem_2estate__ffi_27__01(s__02(c_27type_2eclosSem_2estate_27__01(V_27FFI0_27),c_27const_2eclosSem_2estate__ffi__fupd_27__02(s__02(cfun__02(c_27type_2effi_2effi__state_27__01(V_27FFI_27),c_27type_2effi_2effi__state_27__01(V_27FFI0_27)),V_27f_27),s__02(c_27type_2eclosSem_2estate_27__01(V_27FFI_27),V_27s_27))))) = s__02(c_27type_2effi_2effi__state_27__01(V_27FFI0_27),chapp__02(s__02(cfun__02(c_27type_2effi_2effi__state_27__01(V_27FFI_27),c_27type_2effi_2effi__state_27__01(V_27FFI0_27)),V_27f_27),s__02(c_27type_2effi_2effi__state_27__01(V_27FFI_27),c_27const_2eclosSem_2estate__ffi_27__01(s__02(c_27type_2eclosSem_2estate_27__01(V_27FFI_27),V_27s_27)))))
      & ! [V_27s_27,V_27f_27] : s__02(c_27type_2enum_2enum_27__00,c_27const_2eclosSem_2estate__clock_27__01(s__02(c_27type_2eclosSem_2estate_27__01(V_27FFI_27),c_27const_2eclosSem_2estate__clock__fupd_27__02(s__02(cfun__02(c_27type_2enum_2enum_27__00,c_27type_2enum_2enum_27__00),V_27f_27),s__02(c_27type_2eclosSem_2estate_27__01(V_27FFI_27),V_27s_27))))) = s__02(c_27type_2enum_2enum_27__00,chapp__02(s__02(cfun__02(c_27type_2enum_2enum_27__00,c_27type_2enum_2enum_27__00),V_27f_27),s__02(c_27type_2enum_2enum_27__00,c_27const_2eclosSem_2estate__clock_27__01(s__02(c_27type_2eclosSem_2estate_27__01(V_27FFI_27),V_27s_27)))))
      & ! [V_27s_27,V_27f_27] : s__02(c_27type_2efinite__map_2efmap_27__02(c_27type_2enum_2enum_27__00,c_27type_2epair_2eprod_27__02(c_27type_2enum_2enum_27__00,c_27type_2eclosLang_2eexp_27__00)),c_27const_2eclosSem_2estate__code_27__01(s__02(c_27type_2eclosSem_2estate_27__01(V_27FFI_27),c_27const_2eclosSem_2estate__code__fupd_27__02(s__02(cfun__02(c_27type_2efinite__map_2efmap_27__02(c_27type_2enum_2enum_27__00,c_27type_2epair_2eprod_27__02(c_27type_2enum_2enum_27__00,c_27type_2eclosLang_2eexp_27__00)),c_27type_2efinite__map_2efmap_27__02(c_27type_2enum_2enum_27__00,c_27type_2epair_2eprod_27__02(c_27type_2enum_2enum_27__00,c_27type_2eclosLang_2eexp_27__00))),V_27f_27),s__02(c_27type_2eclosSem_2estate_27__01(V_27FFI_27),V_27s_27))))) = s__02(c_27type_2efinite__map_2efmap_27__02(c_27type_2enum_2enum_27__00,c_27type_2epair_2eprod_27__02(c_27type_2enum_2enum_27__00,c_27type_2eclosLang_2eexp_27__00)),chapp__02(s__02(cfun__02(c_27type_2efinite__map_2efmap_27__02(c_27type_2enum_2enum_27__00,c_27type_2epair_2eprod_27__02(c_27type_2enum_2enum_27__00,c_27type_2eclosLang_2eexp_27__00)),c_27type_2efinite__map_2efmap_27__02(c_27type_2enum_2enum_27__00,c_27type_2epair_2eprod_27__02(c_27type_2enum_2enum_27__00,c_27type_2eclosLang_2eexp_27__00))),V_27f_27),s__02(c_27type_2efinite__map_2efmap_27__02(c_27type_2enum_2enum_27__00,c_27type_2epair_2eprod_27__02(c_27type_2enum_2enum_27__00,c_27type_2eclosLang_2eexp_27__00)),c_27const_2eclosSem_2estate__code_27__01(s__02(c_27type_2eclosSem_2estate_27__01(V_27FFI_27),V_27s_27)))))
      & ! [V_27s_27,V_27f_27] : s__02(c_27type_2enum_2enum_27__00,c_27const_2eclosSem_2estate__max__app_27__01(s__02(c_27type_2eclosSem_2estate_27__01(V_27FFI_27),c_27const_2eclosSem_2estate__max__app__fupd_27__02(s__02(cfun__02(c_27type_2enum_2enum_27__00,c_27type_2enum_2enum_27__00),V_27f_27),s__02(c_27type_2eclosSem_2estate_27__01(V_27FFI_27),V_27s_27))))) = s__02(c_27type_2enum_2enum_27__00,chapp__02(s__02(cfun__02(c_27type_2enum_2enum_27__00,c_27type_2enum_2enum_27__00),V_27f_27),s__02(c_27type_2enum_2enum_27__00,c_27const_2eclosSem_2estate__max__app_27__01(s__02(c_27type_2eclosSem_2estate_27__01(V_27FFI_27),V_27s_27))))) ) ).

fof('thm.clos_knownProof.mapped_globals_def',axiom,
    ! [V_27A_27,V__0] :
      ( ! [V_27s_27,V_27i_27] :
        ? [Vv] :
          ( ( p__01(s__02(cbool__00,Vv))
          <=> ? [V_27v_27] : s__02(c_27type_2eoption_2eoption_27__01(c_27type_2eoption_2eoption_27__01(c_27type_2eclosSem_2ev_27__00)),c_27const_2eclosSem_2eget__global_27__02(s__02(c_27type_2enum_2enum_27__00,V_27i_27),s__02(c_27type_2elist_2elist_27__01(c_27type_2eoption_2eoption_27__01(c_27type_2eclosSem_2ev_27__00)),c_27const_2eclosSem_2estate__globals_27__01(s__02(c_27type_2eclosSem_2estate_27__01(V_27A_27),V_27s_27))))) = s__02(c_27type_2eoption_2eoption_27__01(c_27type_2eoption_2eoption_27__01(c_27type_2eclosSem_2ev_27__00)),c_27const_2eoption_2eSOME_27__01(s__02(c_27type_2eoption_2eoption_27__01(c_27type_2eclosSem_2ev_27__00),c_27const_2eoption_2eSOME_27__01(s__02(c_27type_2eclosSem_2ev_27__00,V_27v_27))))) )
          & s__02(c_27type_2epair_2eprod_27__02(c_27type_2enum_2enum_27__00,cbool__00),chapp__02(s__02(cfun__02(c_27type_2enum_2enum_27__00,c_27type_2epair_2eprod_27__02(c_27type_2enum_2enum_27__00,cbool__00)),chapp__02(s__02(cfun__02(c_27type_2eclosSem_2estate_27__01(V_27A_27),cfun__02(c_27type_2enum_2enum_27__00,c_27type_2epair_2eprod_27__02(c_27type_2enum_2enum_27__00,cbool__00))),V__0),s__02(c_27type_2eclosSem_2estate_27__01(V_27A_27),V_27s_27))),s__02(c_27type_2enum_2enum_27__00,V_27i_27))) = s__02(c_27type_2epair_2eprod_27__02(c_27type_2enum_2enum_27__00,cbool__00),c_27const_2epair_2e_2c_27__02(s__02(c_27type_2enum_2enum_27__00,V_27i_27),s__02(cbool__00,Vv))) )
     => ! [V_27s_27] : s__02(cfun__02(c_27type_2enum_2enum_27__00,cbool__00),c_27const_2eclos__knownProof_2emapped__globals_27__01(s__02(c_27type_2eclosSem_2estate_27__01(V_27A_27),V_27s_27))) = s__02(cfun__02(c_27type_2enum_2enum_27__00,cbool__00),c_27const_2epred__set_2eGSPEC_27__01(s__02(cfun__02(c_27type_2enum_2enum_27__00,c_27type_2epair_2eprod_27__02(c_27type_2enum_2enum_27__00,cbool__00)),chapp__02(s__02(cfun__02(c_27type_2eclosSem_2estate_27__01(V_27A_27),cfun__02(c_27type_2enum_2enum_27__00,c_27type_2epair_2eprod_27__02(c_27type_2enum_2enum_27__00,cbool__00))),V__0),s__02(c_27type_2eclosSem_2estate_27__01(V_27A_27),V_27s_27))))) ) ).

fof(conjecture,conjecture,
    ! [V_27A_27,V_27B_27,V_27v_27,V_27s_27] : s__02(cfun__02(c_27type_2enum_2enum_27__00,cbool__00),c_27const_2eclos__knownProof_2emapped__globals_27__01(s__02(c_27type_2eclosSem_2estate_27__01(V_27A_27),c_27const_2eclosSem_2estate__ffi__fupd_27__02(s__02(cfun__02(c_27type_2effi_2effi__state_27__01(V_27B_27),c_27type_2effi_2effi__state_27__01(V_27A_27)),V_27v_27),s__02(c_27type_2eclosSem_2estate_27__01(V_27B_27),V_27s_27))))) = s__02(cfun__02(c_27type_2enum_2enum_27__00,cbool__00),c_27const_2eclos__knownProof_2emapped__globals_27__01(s__02(c_27type_2eclosSem_2estate_27__01(V_27B_27),V_27s_27))) ).

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