TPTP Problem File: SWW902+1.p

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%------------------------------------------------------------------------------
% File     : SWW902+1 : TPTP v8.2.0. Released v7.3.0.
% Domain   : Software Verification
% Problem  : word_allocProof__49__tactictoe_prove_124__dep
% Version  : Especial.
% English  :

% Refs     : [Kum18] Kumar (2018), Email to Geoff Sutcliffe
% Source   : [Kum18]
% Names    : word_allocProof__49__tactictoe_prove_124__dep [Kum18]

% Status   : CounterSatisfiable
% Rating   : 0.00 v8.1.0, 0.25 v7.5.0, 0.60 v7.4.0, 0.00 v7.3.0
% Syntax   : Number of formulae    :   28 (   4 unt;   0 def)
%            Number of atoms       :  115 (  38 equ)
%            Maximal formula atoms :   15 (   4 avg)
%            Number of connectives :   94 (   7   ~;   2   |;  32   &)
%                                         (  25 <=>;  28  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   13 (   6 avg)
%            Maximal term depth    :   11 (   2 avg)
%            Number of predicates  :    2 (   1 usr;   0 prp; 1-2 aty)
%            Number of functors    :   22 (  22 usr;   7 con; 0-3 aty)
%            Number of variables   :   86 (  85   !;   1   ?)
% 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.ETA_AX',axiom,
    ! [V_27B_27,V_27A_27,V_27t_27,Vx] : s__02(V_27B_27,chapp__02(s__02(cfun__02(V_27A_27,V_27B_27),V_27t_27),s__02(V_27A_27,Vx))) = s__02(V_27B_27,chapp__02(s__02(cfun__02(V_27A_27,V_27B_27),V_27t_27),s__02(V_27A_27,Vx))) ).

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

fof('thm.bool.IMP_ANTISYM_AX',axiom,
    ! [V_27t1_27,V_27t2_27] :
      ( ( p__01(s__02(cbool__00,V_27t1_27))
       => p__01(s__02(cbool__00,V_27t2_27)) )
     => ( ( p__01(s__02(cbool__00,V_27t2_27))
         => p__01(s__02(cbool__00,V_27t1_27)) )
       => s__02(cbool__00,V_27t1_27) = s__02(cbool__00,V_27t2_27) ) ) ).

fof('thm.bool.FALSITY',axiom,
    ! [V_27t_27] :
      ( p__01(s__02(cbool__00,cF__00))
     => p__01(s__02(cbool__00,V_27t_27)) ) ).

fof('thm.bool.EXCLUDED_MIDDLE',axiom,
    ! [V_27t_27] :
      ( p__01(s__02(cbool__00,V_27t_27))
      | ~ p__01(s__02(cbool__00,V_27t_27)) ) ).

fof('thm.bool.FORALL_SIMP',axiom,
    ! [V_27A_27,V_27t_27] :
      ( ! [V_27x_27] : p__01(s__02(cbool__00,V_27t_27))
    <=> p__01(s__02(cbool__00,V_27t_27)) ) ).

fof('thm.bool.AND_CLAUSES',axiom,
    ! [V_27t_27] :
      ( ( ( p__01(s__02(cbool__00,cT__00))
          & p__01(s__02(cbool__00,V_27t_27)) )
      <=> p__01(s__02(cbool__00,V_27t_27)) )
      & ( ( p__01(s__02(cbool__00,V_27t_27))
          & p__01(s__02(cbool__00,cT__00)) )
      <=> p__01(s__02(cbool__00,V_27t_27)) )
      & ( ( p__01(s__02(cbool__00,cF__00))
          & p__01(s__02(cbool__00,V_27t_27)) )
      <=> p__01(s__02(cbool__00,cF__00)) )
      & ( ( p__01(s__02(cbool__00,V_27t_27))
          & p__01(s__02(cbool__00,cF__00)) )
      <=> p__01(s__02(cbool__00,cF__00)) )
      & ( ( p__01(s__02(cbool__00,V_27t_27))
          & p__01(s__02(cbool__00,V_27t_27)) )
      <=> p__01(s__02(cbool__00,V_27t_27)) ) ) ).

fof('thm.bool.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.COND_CLAUSES',axiom,
    ! [V_27A_27,V_27t1_27,V_27t2_27] :
      ( s__02(V_27A_27,c_27const_2ebool_2eCOND_27__03(s__02(cbool__00,cT__00),s__02(V_27A_27,V_27t1_27),s__02(V_27A_27,V_27t2_27))) = s__02(V_27A_27,V_27t1_27)
      & s__02(V_27A_27,c_27const_2ebool_2eCOND_27__03(s__02(cbool__00,cF__00),s__02(V_27A_27,V_27t1_27),s__02(V_27A_27,V_27t2_27))) = s__02(V_27A_27,V_27t2_27) ) ).

fof('thm.bool.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.bool.COND_CONG',axiom,
    ! [V_27A_27,V_27P_27,V_27Q_27,V_27x_27,V_27x_7c39_7c_27,V_27y_27,V_27y_7c39_7c_27] :
      ( ( s__02(cbool__00,V_27P_27) = s__02(cbool__00,V_27Q_27)
        & ( p__01(s__02(cbool__00,V_27Q_27))
         => s__02(V_27A_27,V_27x_27) = s__02(V_27A_27,V_27x_7c39_7c_27) )
        & ( ~ p__01(s__02(cbool__00,V_27Q_27))
         => s__02(V_27A_27,V_27y_27) = s__02(V_27A_27,V_27y_7c39_7c_27) ) )
     => s__02(V_27A_27,c_27const_2ebool_2eCOND_27__03(s__02(cbool__00,V_27P_27),s__02(V_27A_27,V_27x_27),s__02(V_27A_27,V_27y_27))) = s__02(V_27A_27,c_27const_2ebool_2eCOND_27__03(s__02(cbool__00,V_27Q_27),s__02(V_27A_27,V_27x_7c39_7c_27),s__02(V_27A_27,V_27y_7c39_7c_27))) ) ).

fof('thm.bool.bool_case_thm',axiom,
    ! [V_27A_27] :
      ( ! [V_27t1_27,V_27t2_27] : s__02(V_27A_27,c_27const_2ebool_2eCOND_27__03(s__02(cbool__00,cT__00),s__02(V_27A_27,V_27t1_27),s__02(V_27A_27,V_27t2_27))) = s__02(V_27A_27,V_27t1_27)
      & ! [V_27t1_27,V_27t2_27] : s__02(V_27A_27,c_27const_2ebool_2eCOND_27__03(s__02(cbool__00,cF__00),s__02(V_27A_27,V_27t1_27),s__02(V_27A_27,V_27t2_27))) = s__02(V_27A_27,V_27t2_27) ) ).

fof('thm.option.IF_NONE_EQUALS_OPTION',axiom,
    ! [V_27A_27,V_27x_27,V_27X_27,V_27P_27] :
      ( ( s__02(c_27type_2eoption_2eoption_27__01(V_27A_27),c_27const_2ebool_2eCOND_27__03(s__02(cbool__00,V_27P_27),s__02(c_27type_2eoption_2eoption_27__01(V_27A_27),V_27X_27),s__02(c_27type_2eoption_2eoption_27__01(V_27A_27),c_27const_2eoption_2eNONE_27__00))) = s__02(c_27type_2eoption_2eoption_27__01(V_27A_27),c_27const_2eoption_2eNONE_27__00)
      <=> ( p__01(s__02(cbool__00,V_27P_27))
         => p__01(s__02(cbool__00,c_27const_2eoption_2eIS__NONE_27__01(s__02(c_27type_2eoption_2eoption_27__01(V_27A_27),V_27X_27)))) ) )
      & ( s__02(c_27type_2eoption_2eoption_27__01(V_27A_27),c_27const_2ebool_2eCOND_27__03(s__02(cbool__00,V_27P_27),s__02(c_27type_2eoption_2eoption_27__01(V_27A_27),c_27const_2eoption_2eNONE_27__00),s__02(c_27type_2eoption_2eoption_27__01(V_27A_27),V_27X_27))) = s__02(c_27type_2eoption_2eoption_27__01(V_27A_27),c_27const_2eoption_2eNONE_27__00)
      <=> ( p__01(s__02(cbool__00,c_27const_2eoption_2eIS__SOME_27__01(s__02(c_27type_2eoption_2eoption_27__01(V_27A_27),V_27X_27))))
         => p__01(s__02(cbool__00,V_27P_27)) ) )
      & ( s__02(c_27type_2eoption_2eoption_27__01(V_27A_27),c_27const_2ebool_2eCOND_27__03(s__02(cbool__00,V_27P_27),s__02(c_27type_2eoption_2eoption_27__01(V_27A_27),V_27X_27),s__02(c_27type_2eoption_2eoption_27__01(V_27A_27),c_27const_2eoption_2eNONE_27__00))) = s__02(c_27type_2eoption_2eoption_27__01(V_27A_27),c_27const_2eoption_2eSOME_27__01(s__02(V_27A_27,V_27x_27)))
      <=> ( p__01(s__02(cbool__00,V_27P_27))
          & s__02(c_27type_2eoption_2eoption_27__01(V_27A_27),V_27X_27) = s__02(c_27type_2eoption_2eoption_27__01(V_27A_27),c_27const_2eoption_2eSOME_27__01(s__02(V_27A_27,V_27x_27))) ) )
      & ( s__02(c_27type_2eoption_2eoption_27__01(V_27A_27),c_27const_2ebool_2eCOND_27__03(s__02(cbool__00,V_27P_27),s__02(c_27type_2eoption_2eoption_27__01(V_27A_27),c_27const_2eoption_2eNONE_27__00),s__02(c_27type_2eoption_2eoption_27__01(V_27A_27),V_27X_27))) = s__02(c_27type_2eoption_2eoption_27__01(V_27A_27),c_27const_2eoption_2eSOME_27__01(s__02(V_27A_27,V_27x_27)))
      <=> ( ~ p__01(s__02(cbool__00,V_27P_27))
          & s__02(c_27type_2eoption_2eoption_27__01(V_27A_27),V_27X_27) = s__02(c_27type_2eoption_2eoption_27__01(V_27A_27),c_27const_2eoption_2eSOME_27__01(s__02(V_27A_27,V_27x_27))) ) ) ) ).

fof('thm.list.FOLDR',axiom,
    ! [V_27B_27,V_27A_27] :
      ( ! [V_27f_27,V_27e_27] : s__02(V_27B_27,c_27const_2elist_2eFOLDR_27__03(s__02(cfun__02(V_27A_27,cfun__02(V_27B_27,V_27B_27)),V_27f_27),s__02(V_27B_27,V_27e_27),s__02(c_27type_2elist_2elist_27__01(V_27A_27),c_27const_2elist_2eNIL_27__00))) = s__02(V_27B_27,V_27e_27)
      & ! [V_27f_27,V_27e_27,V_27x_27,V_27l_27] : s__02(V_27B_27,c_27const_2elist_2eFOLDR_27__03(s__02(cfun__02(V_27A_27,cfun__02(V_27B_27,V_27B_27)),V_27f_27),s__02(V_27B_27,V_27e_27),s__02(c_27type_2elist_2elist_27__01(V_27A_27),c_27const_2elist_2eCONS_27__02(s__02(V_27A_27,V_27x_27),s__02(c_27type_2elist_2elist_27__01(V_27A_27),V_27l_27))))) = s__02(V_27B_27,chapp__02(s__02(cfun__02(V_27B_27,V_27B_27),chapp__02(s__02(cfun__02(V_27A_27,cfun__02(V_27B_27,V_27B_27)),V_27f_27),s__02(V_27A_27,V_27x_27))),s__02(V_27B_27,c_27const_2elist_2eFOLDR_27__03(s__02(cfun__02(V_27A_27,cfun__02(V_27B_27,V_27B_27)),V_27f_27),s__02(V_27B_27,V_27e_27),s__02(c_27type_2elist_2elist_27__01(V_27A_27),V_27l_27))))) ) ).

fof('thm.list.list_induction',axiom,
    ! [V_27A_27,V_27P_27] :
      ( ( p__01(s__02(cbool__00,chapp__02(s__02(cfun__02(c_27type_2elist_2elist_27__01(V_27A_27),cbool__00),V_27P_27),s__02(c_27type_2elist_2elist_27__01(V_27A_27),c_27const_2elist_2eNIL_27__00))))
        & ! [V_27t_27] :
            ( p__01(s__02(cbool__00,chapp__02(s__02(cfun__02(c_27type_2elist_2elist_27__01(V_27A_27),cbool__00),V_27P_27),s__02(c_27type_2elist_2elist_27__01(V_27A_27),V_27t_27))))
           => ! [V_27h_27] : p__01(s__02(cbool__00,chapp__02(s__02(cfun__02(c_27type_2elist_2elist_27__01(V_27A_27),cbool__00),V_27P_27),s__02(c_27type_2elist_2elist_27__01(V_27A_27),c_27const_2elist_2eCONS_27__02(s__02(V_27A_27,V_27h_27),s__02(c_27type_2elist_2elist_27__01(V_27A_27),V_27t_27)))))) ) )
     => ! [V_27l_27] : p__01(s__02(cbool__00,chapp__02(s__02(cfun__02(c_27type_2elist_2elist_27__01(V_27A_27),cbool__00),V_27P_27),s__02(c_27type_2elist_2elist_27__01(V_27A_27),V_27l_27)))) ) ).

fof('thm.sptree.wf_delete',axiom,
    ! [V_27A_27,V_27t_27,V_27k_27] :
      ( p__01(s__02(cbool__00,c_27const_2esptree_2ewf_27__01(s__02(c_27type_2esptree_2espt_27__01(V_27A_27),V_27t_27))))
     => p__01(s__02(cbool__00,c_27const_2esptree_2ewf_27__01(s__02(c_27type_2esptree_2espt_27__01(V_27A_27),chapp__02(s__02(cfun__02(c_27type_2esptree_2espt_27__01(V_27A_27),c_27type_2esptree_2espt_27__01(V_27A_27)),chapp__02(s__02(cfun__02(c_27type_2enum_2enum_27__00,cfun__02(c_27type_2esptree_2espt_27__01(V_27A_27),c_27type_2esptree_2espt_27__01(V_27A_27))),c_27const_2esptree_2edelete_27__00),s__02(c_27type_2enum_2enum_27__00,V_27k_27))),s__02(c_27type_2esptree_2espt_27__01(V_27A_27),V_27t_27)))))) ) ).

fof('thm.sptree.lookup_delete',axiom,
    ! [V_27A_27,V_27t_27,V_27k1_27,V_27k2_27] :
    ? [Vv] :
      ( ( p__01(s__02(cbool__00,Vv))
      <=> s__02(c_27type_2enum_2enum_27__00,V_27k1_27) = s__02(c_27type_2enum_2enum_27__00,V_27k2_27) )
      & s__02(c_27type_2eoption_2eoption_27__01(V_27A_27),c_27const_2esptree_2elookup_27__02(s__02(c_27type_2enum_2enum_27__00,V_27k1_27),s__02(c_27type_2esptree_2espt_27__01(V_27A_27),chapp__02(s__02(cfun__02(c_27type_2esptree_2espt_27__01(V_27A_27),c_27type_2esptree_2espt_27__01(V_27A_27)),chapp__02(s__02(cfun__02(c_27type_2enum_2enum_27__00,cfun__02(c_27type_2esptree_2espt_27__01(V_27A_27),c_27type_2esptree_2espt_27__01(V_27A_27))),c_27const_2esptree_2edelete_27__00),s__02(c_27type_2enum_2enum_27__00,V_27k2_27))),s__02(c_27type_2esptree_2espt_27__01(V_27A_27),V_27t_27))))) = s__02(c_27type_2eoption_2eoption_27__01(V_27A_27),c_27const_2ebool_2eCOND_27__03(s__02(cbool__00,Vv),s__02(c_27type_2eoption_2eoption_27__01(V_27A_27),c_27const_2eoption_2eNONE_27__00),s__02(c_27type_2eoption_2eoption_27__01(V_27A_27),c_27const_2esptree_2elookup_27__02(s__02(c_27type_2enum_2enum_27__00,V_27k1_27),s__02(c_27type_2esptree_2espt_27__01(V_27A_27),V_27t_27))))) ) ).

fof('thm.sptree.spt_eq_thm',axiom,
    ! [V_27A_27,V_27t1_27,V_27t2_27] :
      ( ( p__01(s__02(cbool__00,c_27const_2esptree_2ewf_27__01(s__02(c_27type_2esptree_2espt_27__01(V_27A_27),V_27t1_27))))
        & p__01(s__02(cbool__00,c_27const_2esptree_2ewf_27__01(s__02(c_27type_2esptree_2espt_27__01(V_27A_27),V_27t2_27)))) )
     => ( s__02(c_27type_2esptree_2espt_27__01(V_27A_27),V_27t1_27) = s__02(c_27type_2esptree_2espt_27__01(V_27A_27),V_27t2_27)
      <=> ! [V_27n_27] : s__02(c_27type_2eoption_2eoption_27__01(V_27A_27),c_27const_2esptree_2elookup_27__02(s__02(c_27type_2enum_2enum_27__00,V_27n_27),s__02(c_27type_2esptree_2espt_27__01(V_27A_27),V_27t1_27))) = s__02(c_27type_2eoption_2eoption_27__01(V_27A_27),c_27const_2esptree_2elookup_27__02(s__02(c_27type_2enum_2enum_27__00,V_27n_27),s__02(c_27type_2esptree_2espt_27__01(V_27A_27),V_27t2_27))) ) ) ).

fof('thm.reg_alloc.numset_list_delete_def',axiom,
    ! [V_27A_27] :
      ( ! [V_27t_27] : s__02(c_27type_2esptree_2espt_27__01(V_27A_27),c_27const_2ereg__alloc_2enumset__list__delete_27__02(s__02(c_27type_2elist_2elist_27__01(c_27type_2enum_2enum_27__00),c_27const_2elist_2eNIL_27__00),s__02(c_27type_2esptree_2espt_27__01(V_27A_27),V_27t_27))) = s__02(c_27type_2esptree_2espt_27__01(V_27A_27),V_27t_27)
      & ! [V_27x_27,V_27xs_27,V_27t_27] : s__02(c_27type_2esptree_2espt_27__01(V_27A_27),c_27const_2ereg__alloc_2enumset__list__delete_27__02(s__02(c_27type_2elist_2elist_27__01(c_27type_2enum_2enum_27__00),c_27const_2elist_2eCONS_27__02(s__02(c_27type_2enum_2enum_27__00,V_27x_27),s__02(c_27type_2elist_2elist_27__01(c_27type_2enum_2enum_27__00),V_27xs_27))),s__02(c_27type_2esptree_2espt_27__01(V_27A_27),V_27t_27))) = s__02(c_27type_2esptree_2espt_27__01(V_27A_27),c_27const_2ereg__alloc_2enumset__list__delete_27__02(s__02(c_27type_2elist_2elist_27__01(c_27type_2enum_2enum_27__00),V_27xs_27),s__02(c_27type_2esptree_2espt_27__01(V_27A_27),chapp__02(s__02(cfun__02(c_27type_2esptree_2espt_27__01(V_27A_27),c_27type_2esptree_2espt_27__01(V_27A_27)),chapp__02(s__02(cfun__02(c_27type_2enum_2enum_27__00,cfun__02(c_27type_2esptree_2espt_27__01(V_27A_27),c_27type_2esptree_2espt_27__01(V_27A_27))),c_27const_2esptree_2edelete_27__00),s__02(c_27type_2enum_2enum_27__00,V_27x_27))),s__02(c_27type_2esptree_2espt_27__01(V_27A_27),V_27t_27))))) ) ).

fof(conjecture,conjecture,
    ! [V_27B_27,V_27A_27,V_27ls_27,V_27t_27,V_27live_27] :
      ( p__01(s__02(cbool__00,c_27const_2esptree_2ewf_27__01(s__02(c_27type_2esptree_2espt_27__01(V_27A_27),V_27t_27))))
     => s__02(c_27type_2esptree_2espt_27__01(V_27A_27),c_27const_2elist_2eFOLDR_27__03(s__02(cfun__02(c_27type_2enum_2enum_27__00,cfun__02(c_27type_2esptree_2espt_27__01(V_27A_27),c_27type_2esptree_2espt_27__01(V_27A_27))),c_27const_2esptree_2edelete_27__00),s__02(c_27type_2esptree_2espt_27__01(V_27A_27),V_27t_27),s__02(c_27type_2elist_2elist_27__01(c_27type_2enum_2enum_27__00),V_27ls_27))) = s__02(c_27type_2esptree_2espt_27__01(V_27A_27),c_27const_2ereg__alloc_2enumset__list__delete_27__02(s__02(c_27type_2elist_2elist_27__01(c_27type_2enum_2enum_27__00),V_27ls_27),s__02(c_27type_2esptree_2espt_27__01(V_27A_27),V_27t_27))) ) ).

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