TPTP Problem File: SWW926+1.p
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%------------------------------------------------------------------------------
% File : SWW926+1 : TPTP v8.2.0. Released v7.3.0.
% Domain : Software Verification
% Problem : data_to_word_memoryProof__109__split1_thm__dep
% Version : Especial.
% English :
% Refs : [Kum18] Kumar (2018), Email to Geoff Sutcliffe
% Source : [Kum18]
% Names : data_to_word_memoryProof__109__split1_thm__dep [Kum18]
% Status : CounterSatisfiable
% Rating : 0.00 v8.2.0, 0.33 v8.1.0, 0.00 v7.5.0, 0.60 v7.4.0, 0.33 v7.3.0
% Syntax : Number of formulae : 33 ( 4 unt; 0 def)
% Number of atoms : 168 ( 22 equ)
% Maximal formula atoms : 15 ( 5 avg)
% Number of connectives : 180 ( 45 ~; 28 |; 32 &)
% ( 31 <=>; 44 =>; 0 <=; 0 <~>)
% Maximal formula depth : 21 ( 7 avg)
% Maximal term depth : 21 ( 3 avg)
% Number of predicates : 2 ( 1 usr; 0 prp; 1-2 aty)
% Number of functors : 40 ( 40 usr; 8 con; 0-6 aty)
% Number of variables : 116 ( 111 !; 5 ?)
% 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_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.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.NOT_CLAUSES',axiom,
( ! [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,cF__00)) )
& ( ~ p__01(s__02(cbool__00,cF__00))
<=> p__01(s__02(cbool__00,cT__00)) ) ) ).
fof('thm.bool.EQ_REFL',axiom,
! [V_27A_27,V_27x_27] : s__02(V_27A_27,V_27x_27) = s__02(V_27A_27,V_27x_27) ).
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.sat.NOT_NOT',axiom,
! [V_27t_27] :
( ~ ~ p__01(s__02(cbool__00,V_27t_27))
<=> p__01(s__02(cbool__00,V_27t_27)) ) ).
fof('thm.sat.AND_INV_IMP',axiom,
! [V_27A_270] :
( p__01(s__02(cbool__00,V_27A_270))
=> ( ~ p__01(s__02(cbool__00,V_27A_270))
=> p__01(s__02(cbool__00,cF__00)) ) ) ).
fof('thm.sat.OR_DUAL2',axiom,
! [V_27B_270,V_27A_270] :
( ( ~ ( p__01(s__02(cbool__00,V_27A_270))
| p__01(s__02(cbool__00,V_27B_270)) )
=> p__01(s__02(cbool__00,cF__00)) )
<=> ( ( p__01(s__02(cbool__00,V_27A_270))
=> p__01(s__02(cbool__00,cF__00)) )
=> ( ~ p__01(s__02(cbool__00,V_27B_270))
=> p__01(s__02(cbool__00,cF__00)) ) ) ) ).
fof('thm.sat.OR_DUAL3',axiom,
! [V_27B_270,V_27A_270] :
( ( ~ ( ~ p__01(s__02(cbool__00,V_27A_270))
| p__01(s__02(cbool__00,V_27B_270)) )
=> p__01(s__02(cbool__00,cF__00)) )
<=> ( p__01(s__02(cbool__00,V_27A_270))
=> ( ~ p__01(s__02(cbool__00,V_27B_270))
=> p__01(s__02(cbool__00,cF__00)) ) ) ) ).
fof('thm.sat.AND_INV2',axiom,
! [V_27A_270] :
( ( ~ p__01(s__02(cbool__00,V_27A_270))
=> p__01(s__02(cbool__00,cF__00)) )
=> ( ( p__01(s__02(cbool__00,V_27A_270))
=> p__01(s__02(cbool__00,cF__00)) )
=> p__01(s__02(cbool__00,cF__00)) ) ) ).
fof('thm.sat.dc_eq',axiom,
! [V_27r_27,V_27q_27,V_27p_27] :
( ( p__01(s__02(cbool__00,V_27p_27))
<=> s__02(cbool__00,V_27q_27) = s__02(cbool__00,V_27r_27) )
<=> ( ( p__01(s__02(cbool__00,V_27p_27))
| p__01(s__02(cbool__00,V_27q_27))
| p__01(s__02(cbool__00,V_27r_27)) )
& ( p__01(s__02(cbool__00,V_27p_27))
| ~ p__01(s__02(cbool__00,V_27r_27))
| ~ p__01(s__02(cbool__00,V_27q_27)) )
& ( p__01(s__02(cbool__00,V_27q_27))
| ~ p__01(s__02(cbool__00,V_27r_27))
| ~ p__01(s__02(cbool__00,V_27p_27)) )
& ( p__01(s__02(cbool__00,V_27r_27))
| ~ p__01(s__02(cbool__00,V_27q_27))
| ~ p__01(s__02(cbool__00,V_27p_27)) ) ) ) ).
fof('thm.sat.dc_conj',axiom,
! [V_27r_27,V_27q_27,V_27p_27] :
( ( p__01(s__02(cbool__00,V_27p_27))
<=> ( p__01(s__02(cbool__00,V_27q_27))
& p__01(s__02(cbool__00,V_27r_27)) ) )
<=> ( ( p__01(s__02(cbool__00,V_27p_27))
| ~ p__01(s__02(cbool__00,V_27q_27))
| ~ p__01(s__02(cbool__00,V_27r_27)) )
& ( p__01(s__02(cbool__00,V_27q_27))
| ~ p__01(s__02(cbool__00,V_27p_27)) )
& ( p__01(s__02(cbool__00,V_27r_27))
| ~ p__01(s__02(cbool__00,V_27p_27)) ) ) ) ).
fof('thm.sat.dc_disj',axiom,
! [V_27r_27,V_27q_27,V_27p_27] :
( ( p__01(s__02(cbool__00,V_27p_27))
<=> ( p__01(s__02(cbool__00,V_27q_27))
| p__01(s__02(cbool__00,V_27r_27)) ) )
<=> ( ( p__01(s__02(cbool__00,V_27p_27))
| ~ p__01(s__02(cbool__00,V_27q_27)) )
& ( p__01(s__02(cbool__00,V_27p_27))
| ~ p__01(s__02(cbool__00,V_27r_27)) )
& ( p__01(s__02(cbool__00,V_27q_27))
| p__01(s__02(cbool__00,V_27r_27))
| ~ p__01(s__02(cbool__00,V_27p_27)) ) ) ) ).
fof('thm.sat.dc_imp',axiom,
! [V_27r_27,V_27q_27,V_27p_27] :
( ( p__01(s__02(cbool__00,V_27p_27))
<=> ( p__01(s__02(cbool__00,V_27q_27))
=> p__01(s__02(cbool__00,V_27r_27)) ) )
<=> ( ( p__01(s__02(cbool__00,V_27p_27))
| p__01(s__02(cbool__00,V_27q_27)) )
& ( p__01(s__02(cbool__00,V_27p_27))
| ~ p__01(s__02(cbool__00,V_27r_27)) )
& ( ~ p__01(s__02(cbool__00,V_27q_27))
| p__01(s__02(cbool__00,V_27r_27))
| ~ p__01(s__02(cbool__00,V_27p_27)) ) ) ) ).
fof('thm.sat.dc_neg',axiom,
! [V_27q_27,V_27p_27] :
( ( p__01(s__02(cbool__00,V_27p_27))
<=> ~ p__01(s__02(cbool__00,V_27q_27)) )
<=> ( ( p__01(s__02(cbool__00,V_27p_27))
| p__01(s__02(cbool__00,V_27q_27)) )
& ( ~ p__01(s__02(cbool__00,V_27q_27))
| ~ p__01(s__02(cbool__00,V_27p_27)) ) ) ) ).
fof('thm.sat.pth_ni1',axiom,
! [V_27q_27,V_27p_27] :
( ~ ( p__01(s__02(cbool__00,V_27p_27))
=> p__01(s__02(cbool__00,V_27q_27)) )
=> p__01(s__02(cbool__00,V_27p_27)) ) ).
fof('thm.sat.pth_ni2',axiom,
! [V_27q_27,V_27p_27] :
( ~ ( p__01(s__02(cbool__00,V_27p_27))
=> p__01(s__02(cbool__00,V_27q_27)) )
=> ~ p__01(s__02(cbool__00,V_27q_27)) ) ).
fof('thm.sat.pth_no1',axiom,
! [V_27q_27,V_27p_27] :
( ~ ( p__01(s__02(cbool__00,V_27p_27))
| p__01(s__02(cbool__00,V_27q_27)) )
=> ~ p__01(s__02(cbool__00,V_27p_27)) ) ).
fof('thm.sat.pth_no2',axiom,
! [V_27q_27,V_27p_27] :
( ~ ( p__01(s__02(cbool__00,V_27p_27))
| p__01(s__02(cbool__00,V_27q_27)) )
=> ~ p__01(s__02(cbool__00,V_27q_27)) ) ).
fof('thm.sat.pth_nn',axiom,
! [V_27p_27] :
( ~ ~ p__01(s__02(cbool__00,V_27p_27))
=> p__01(s__02(cbool__00,V_27p_27)) ) ).
fof('thm.list.LIST_REL_LENGTH',axiom,
! [V_27A_27,V_27B_27,V_27R_27,V_27x_27,V_27y_27] :
( p__01(s__02(cbool__00,c_27const_2elist_2eLIST__REL_27__03(s__02(cfun__02(V_27A_27,cfun__02(V_27B_27,cbool__00)),V_27R_27),s__02(c_27type_2elist_2elist_27__01(V_27A_27),V_27x_27),s__02(c_27type_2elist_2elist_27__01(V_27B_27),V_27y_27))))
=> s__02(c_27type_2enum_2enum_27__00,c_27const_2elist_2eLENGTH_27__01(s__02(c_27type_2elist_2elist_27__01(V_27A_27),V_27x_27))) = s__02(c_27type_2enum_2enum_27__00,c_27const_2elist_2eLENGTH_27__01(s__02(c_27type_2elist_2elist_27__01(V_27B_27),V_27y_27))) ) ).
fof('thm.list.LIST_REL_SPLIT1',axiom,
! [V_27A_27,V_27B_27,V_27xs2_27,V_27P_27,V_27xs1_27,V_27zs_27] :
( p__01(s__02(cbool__00,c_27const_2elist_2eLIST__REL_27__03(s__02(cfun__02(V_27A_27,cfun__02(V_27B_27,cbool__00)),V_27P_27),s__02(c_27type_2elist_2elist_27__01(V_27A_27),c_27const_2elist_2eAPPEND_27__02(s__02(c_27type_2elist_2elist_27__01(V_27A_27),V_27xs1_27),s__02(c_27type_2elist_2elist_27__01(V_27A_27),V_27xs2_27))),s__02(c_27type_2elist_2elist_27__01(V_27B_27),V_27zs_27))))
<=> ? [V_27ys1_27,V_27ys2_27] :
( s__02(c_27type_2elist_2elist_27__01(V_27B_27),V_27zs_27) = s__02(c_27type_2elist_2elist_27__01(V_27B_27),c_27const_2elist_2eAPPEND_27__02(s__02(c_27type_2elist_2elist_27__01(V_27B_27),V_27ys1_27),s__02(c_27type_2elist_2elist_27__01(V_27B_27),V_27ys2_27)))
& p__01(s__02(cbool__00,c_27const_2elist_2eLIST__REL_27__03(s__02(cfun__02(V_27A_27,cfun__02(V_27B_27,cbool__00)),V_27P_27),s__02(c_27type_2elist_2elist_27__01(V_27A_27),V_27xs1_27),s__02(c_27type_2elist_2elist_27__01(V_27B_27),V_27ys1_27))))
& p__01(s__02(cbool__00,c_27const_2elist_2eLIST__REL_27__03(s__02(cfun__02(V_27A_27,cfun__02(V_27B_27,cbool__00)),V_27P_27),s__02(c_27type_2elist_2elist_27__01(V_27A_27),V_27xs2_27),s__02(c_27type_2elist_2elist_27__01(V_27B_27),V_27ys2_27)))) ) ) ).
fof('thm.data_to_word_memoryProof.bc_stack_ref_inv_def',axiom,
! [V_27A_27,V__2] :
( ! [V_27conf_27,V_27v_27,V_27f_27,V_27heap_27,V_27x_27] : s__02(cbool__00,chapp__02(s__02(cfun__02(c_27type_2egc__shared_2eheap__address_27__01(c_27type_2ewordSem_2eword__loc_27__01(V_27A_27)),cbool__00),chapp__02(s__02(cfun__02(c_27type_2elist_2elist_27__01(c_27type_2egc__shared_2eheap__element_27__02(c_27type_2ewordSem_2eword__loc_27__01(V_27A_27),c_27type_2epair_2eprod_27__02(c_27type_2edata__to__word__memoryProof_2etag_27__00,c_27type_2elist_2elist_27__01(c_27type_2ewordSem_2eword__loc_27__01(V_27A_27))))),cfun__02(c_27type_2egc__shared_2eheap__address_27__01(c_27type_2ewordSem_2eword__loc_27__01(V_27A_27)),cbool__00)),chapp__02(s__02(cfun__02(c_27type_2efinite__map_2efmap_27__02(c_27type_2enum_2enum_27__00,c_27type_2enum_2enum_27__00),cfun__02(c_27type_2elist_2elist_27__01(c_27type_2egc__shared_2eheap__element_27__02(c_27type_2ewordSem_2eword__loc_27__01(V_27A_27),c_27type_2epair_2eprod_27__02(c_27type_2edata__to__word__memoryProof_2etag_27__00,c_27type_2elist_2elist_27__01(c_27type_2ewordSem_2eword__loc_27__01(V_27A_27))))),cfun__02(c_27type_2egc__shared_2eheap__address_27__01(c_27type_2ewordSem_2eword__loc_27__01(V_27A_27)),cbool__00))),chapp__02(s__02(cfun__02(c_27type_2ebvlSem_2ev_27__00,cfun__02(c_27type_2efinite__map_2efmap_27__02(c_27type_2enum_2enum_27__00,c_27type_2enum_2enum_27__00),cfun__02(c_27type_2elist_2elist_27__01(c_27type_2egc__shared_2eheap__element_27__02(c_27type_2ewordSem_2eword__loc_27__01(V_27A_27),c_27type_2epair_2eprod_27__02(c_27type_2edata__to__word__memoryProof_2etag_27__00,c_27type_2elist_2elist_27__01(c_27type_2ewordSem_2eword__loc_27__01(V_27A_27))))),cfun__02(c_27type_2egc__shared_2eheap__address_27__01(c_27type_2ewordSem_2eword__loc_27__01(V_27A_27)),cbool__00)))),chapp__02(s__02(cfun__02(c_27type_2edata__to__word_2econfig_27__00,cfun__02(c_27type_2ebvlSem_2ev_27__00,cfun__02(c_27type_2efinite__map_2efmap_27__02(c_27type_2enum_2enum_27__00,c_27type_2enum_2enum_27__00),cfun__02(c_27type_2elist_2elist_27__01(c_27type_2egc__shared_2eheap__element_27__02(c_27type_2ewordSem_2eword__loc_27__01(V_27A_27),c_27type_2epair_2eprod_27__02(c_27type_2edata__to__word__memoryProof_2etag_27__00,c_27type_2elist_2elist_27__01(c_27type_2ewordSem_2eword__loc_27__01(V_27A_27))))),cfun__02(c_27type_2egc__shared_2eheap__address_27__01(c_27type_2ewordSem_2eword__loc_27__01(V_27A_27)),cbool__00))))),V__2),s__02(c_27type_2edata__to__word_2econfig_27__00,V_27conf_27))),s__02(c_27type_2ebvlSem_2ev_27__00,V_27v_27))),s__02(c_27type_2efinite__map_2efmap_27__02(c_27type_2enum_2enum_27__00,c_27type_2enum_2enum_27__00),V_27f_27))),s__02(c_27type_2elist_2elist_27__01(c_27type_2egc__shared_2eheap__element_27__02(c_27type_2ewordSem_2eword__loc_27__01(V_27A_27),c_27type_2epair_2eprod_27__02(c_27type_2edata__to__word__memoryProof_2etag_27__00,c_27type_2elist_2elist_27__01(c_27type_2ewordSem_2eword__loc_27__01(V_27A_27))))),V_27heap_27))),s__02(c_27type_2egc__shared_2eheap__address_27__01(c_27type_2ewordSem_2eword__loc_27__01(V_27A_27)),V_27x_27))) = s__02(cbool__00,c_27const_2edata__to__word__memoryProof_2ev__inv_27__03(s__02(c_27type_2edata__to__word_2econfig_27__00,V_27conf_27),s__02(c_27type_2ebvlSem_2ev_27__00,V_27v_27),s__02(c_27type_2epair_2eprod_27__02(c_27type_2egc__shared_2eheap__address_27__01(c_27type_2ewordSem_2eword__loc_27__01(V_27A_27)),c_27type_2epair_2eprod_27__02(c_27type_2efinite__map_2efmap_27__02(c_27type_2enum_2enum_27__00,c_27type_2enum_2enum_27__00),c_27type_2elist_2elist_27__01(c_27type_2egc__shared_2eheap__element_27__02(c_27type_2ewordSem_2eword__loc_27__01(V_27A_27),c_27type_2epair_2eprod_27__02(c_27type_2edata__to__word__memoryProof_2etag_27__00,c_27type_2elist_2elist_27__01(c_27type_2ewordSem_2eword__loc_27__01(V_27A_27))))))),c_27const_2epair_2e_2c_27__02(s__02(c_27type_2egc__shared_2eheap__address_27__01(c_27type_2ewordSem_2eword__loc_27__01(V_27A_27)),V_27x_27),s__02(c_27type_2epair_2eprod_27__02(c_27type_2efinite__map_2efmap_27__02(c_27type_2enum_2enum_27__00,c_27type_2enum_2enum_27__00),c_27type_2elist_2elist_27__01(c_27type_2egc__shared_2eheap__element_27__02(c_27type_2ewordSem_2eword__loc_27__01(V_27A_27),c_27type_2epair_2eprod_27__02(c_27type_2edata__to__word__memoryProof_2etag_27__00,c_27type_2elist_2elist_27__01(c_27type_2ewordSem_2eword__loc_27__01(V_27A_27)))))),c_27const_2epair_2e_2c_27__02(s__02(c_27type_2efinite__map_2efmap_27__02(c_27type_2enum_2enum_27__00,c_27type_2enum_2enum_27__00),V_27f_27),s__02(c_27type_2elist_2elist_27__01(c_27type_2egc__shared_2eheap__element_27__02(c_27type_2ewordSem_2eword__loc_27__01(V_27A_27),c_27type_2epair_2eprod_27__02(c_27type_2edata__to__word__memoryProof_2etag_27__00,c_27type_2elist_2elist_27__01(c_27type_2ewordSem_2eword__loc_27__01(V_27A_27))))),V_27heap_27)))))))
=> ! [V__1] :
( ! [V_27conf_27,V_27f_27,V_27heap_27,V_27v_27] : s__02(cfun__02(c_27type_2egc__shared_2eheap__address_27__01(c_27type_2ewordSem_2eword__loc_27__01(V_27A_27)),cbool__00),chapp__02(s__02(cfun__02(c_27type_2ebvlSem_2ev_27__00,cfun__02(c_27type_2egc__shared_2eheap__address_27__01(c_27type_2ewordSem_2eword__loc_27__01(V_27A_27)),cbool__00)),chapp__02(s__02(cfun__02(c_27type_2elist_2elist_27__01(c_27type_2egc__shared_2eheap__element_27__02(c_27type_2ewordSem_2eword__loc_27__01(V_27A_27),c_27type_2epair_2eprod_27__02(c_27type_2edata__to__word__memoryProof_2etag_27__00,c_27type_2elist_2elist_27__01(c_27type_2ewordSem_2eword__loc_27__01(V_27A_27))))),cfun__02(c_27type_2ebvlSem_2ev_27__00,cfun__02(c_27type_2egc__shared_2eheap__address_27__01(c_27type_2ewordSem_2eword__loc_27__01(V_27A_27)),cbool__00))),chapp__02(s__02(cfun__02(c_27type_2efinite__map_2efmap_27__02(c_27type_2enum_2enum_27__00,c_27type_2enum_2enum_27__00),cfun__02(c_27type_2elist_2elist_27__01(c_27type_2egc__shared_2eheap__element_27__02(c_27type_2ewordSem_2eword__loc_27__01(V_27A_27),c_27type_2epair_2eprod_27__02(c_27type_2edata__to__word__memoryProof_2etag_27__00,c_27type_2elist_2elist_27__01(c_27type_2ewordSem_2eword__loc_27__01(V_27A_27))))),cfun__02(c_27type_2ebvlSem_2ev_27__00,cfun__02(c_27type_2egc__shared_2eheap__address_27__01(c_27type_2ewordSem_2eword__loc_27__01(V_27A_27)),cbool__00)))),chapp__02(s__02(cfun__02(c_27type_2edata__to__word_2econfig_27__00,cfun__02(c_27type_2efinite__map_2efmap_27__02(c_27type_2enum_2enum_27__00,c_27type_2enum_2enum_27__00),cfun__02(c_27type_2elist_2elist_27__01(c_27type_2egc__shared_2eheap__element_27__02(c_27type_2ewordSem_2eword__loc_27__01(V_27A_27),c_27type_2epair_2eprod_27__02(c_27type_2edata__to__word__memoryProof_2etag_27__00,c_27type_2elist_2elist_27__01(c_27type_2ewordSem_2eword__loc_27__01(V_27A_27))))),cfun__02(c_27type_2ebvlSem_2ev_27__00,cfun__02(c_27type_2egc__shared_2eheap__address_27__01(c_27type_2ewordSem_2eword__loc_27__01(V_27A_27)),cbool__00))))),V__1),s__02(c_27type_2edata__to__word_2econfig_27__00,V_27conf_27))),s__02(c_27type_2efinite__map_2efmap_27__02(c_27type_2enum_2enum_27__00,c_27type_2enum_2enum_27__00),V_27f_27))),s__02(c_27type_2elist_2elist_27__01(c_27type_2egc__shared_2eheap__element_27__02(c_27type_2ewordSem_2eword__loc_27__01(V_27A_27),c_27type_2epair_2eprod_27__02(c_27type_2edata__to__word__memoryProof_2etag_27__00,c_27type_2elist_2elist_27__01(c_27type_2ewordSem_2eword__loc_27__01(V_27A_27))))),V_27heap_27))),s__02(c_27type_2ebvlSem_2ev_27__00,V_27v_27))) = s__02(cfun__02(c_27type_2egc__shared_2eheap__address_27__01(c_27type_2ewordSem_2eword__loc_27__01(V_27A_27)),cbool__00),chapp__02(s__02(cfun__02(c_27type_2elist_2elist_27__01(c_27type_2egc__shared_2eheap__element_27__02(c_27type_2ewordSem_2eword__loc_27__01(V_27A_27),c_27type_2epair_2eprod_27__02(c_27type_2edata__to__word__memoryProof_2etag_27__00,c_27type_2elist_2elist_27__01(c_27type_2ewordSem_2eword__loc_27__01(V_27A_27))))),cfun__02(c_27type_2egc__shared_2eheap__address_27__01(c_27type_2ewordSem_2eword__loc_27__01(V_27A_27)),cbool__00)),chapp__02(s__02(cfun__02(c_27type_2efinite__map_2efmap_27__02(c_27type_2enum_2enum_27__00,c_27type_2enum_2enum_27__00),cfun__02(c_27type_2elist_2elist_27__01(c_27type_2egc__shared_2eheap__element_27__02(c_27type_2ewordSem_2eword__loc_27__01(V_27A_27),c_27type_2epair_2eprod_27__02(c_27type_2edata__to__word__memoryProof_2etag_27__00,c_27type_2elist_2elist_27__01(c_27type_2ewordSem_2eword__loc_27__01(V_27A_27))))),cfun__02(c_27type_2egc__shared_2eheap__address_27__01(c_27type_2ewordSem_2eword__loc_27__01(V_27A_27)),cbool__00))),chapp__02(s__02(cfun__02(c_27type_2ebvlSem_2ev_27__00,cfun__02(c_27type_2efinite__map_2efmap_27__02(c_27type_2enum_2enum_27__00,c_27type_2enum_2enum_27__00),cfun__02(c_27type_2elist_2elist_27__01(c_27type_2egc__shared_2eheap__element_27__02(c_27type_2ewordSem_2eword__loc_27__01(V_27A_27),c_27type_2epair_2eprod_27__02(c_27type_2edata__to__word__memoryProof_2etag_27__00,c_27type_2elist_2elist_27__01(c_27type_2ewordSem_2eword__loc_27__01(V_27A_27))))),cfun__02(c_27type_2egc__shared_2eheap__address_27__01(c_27type_2ewordSem_2eword__loc_27__01(V_27A_27)),cbool__00)))),chapp__02(s__02(cfun__02(c_27type_2edata__to__word_2econfig_27__00,cfun__02(c_27type_2ebvlSem_2ev_27__00,cfun__02(c_27type_2efinite__map_2efmap_27__02(c_27type_2enum_2enum_27__00,c_27type_2enum_2enum_27__00),cfun__02(c_27type_2elist_2elist_27__01(c_27type_2egc__shared_2eheap__element_27__02(c_27type_2ewordSem_2eword__loc_27__01(V_27A_27),c_27type_2epair_2eprod_27__02(c_27type_2edata__to__word__memoryProof_2etag_27__00,c_27type_2elist_2elist_27__01(c_27type_2ewordSem_2eword__loc_27__01(V_27A_27))))),cfun__02(c_27type_2egc__shared_2eheap__address_27__01(c_27type_2ewordSem_2eword__loc_27__01(V_27A_27)),cbool__00))))),V__2),s__02(c_27type_2edata__to__word_2econfig_27__00,V_27conf_27))),s__02(c_27type_2ebvlSem_2ev_27__00,V_27v_27))),s__02(c_27type_2efinite__map_2efmap_27__02(c_27type_2enum_2enum_27__00,c_27type_2enum_2enum_27__00),V_27f_27))),s__02(c_27type_2elist_2elist_27__01(c_27type_2egc__shared_2eheap__element_27__02(c_27type_2ewordSem_2eword__loc_27__01(V_27A_27),c_27type_2epair_2eprod_27__02(c_27type_2edata__to__word__memoryProof_2etag_27__00,c_27type_2elist_2elist_27__01(c_27type_2ewordSem_2eword__loc_27__01(V_27A_27))))),V_27heap_27)))
=> ! [V__0] :
( ! [V_27heap_27,V_27a_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_2elist_2elist_27__01(c_27type_2egc__shared_2eheap__element_27__02(c_27type_2ewordSem_2eword__loc_27__01(V_27A_27),c_27type_2epair_2eprod_27__02(c_27type_2edata__to__word__memoryProof_2etag_27__00,c_27type_2elist_2elist_27__01(c_27type_2ewordSem_2eword__loc_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_2elist_2elist_27__01(c_27type_2egc__shared_2eheap__element_27__02(c_27type_2ewordSem_2eword__loc_27__01(V_27A_27),c_27type_2epair_2eprod_27__02(c_27type_2edata__to__word__memoryProof_2etag_27__00,c_27type_2elist_2elist_27__01(c_27type_2ewordSem_2eword__loc_27__01(V_27A_27))))),V_27heap_27))),s__02(c_27type_2enum_2enum_27__00,V_27a_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_27a_27),s__02(cbool__00,c_27const_2egc__shared_2eisSomeDataElement_27__01(s__02(c_27type_2eoption_2eoption_27__01(c_27type_2egc__shared_2eheap__element_27__02(c_27type_2ewordSem_2eword__loc_27__01(V_27A_27),c_27type_2epair_2eprod_27__02(c_27type_2edata__to__word__memoryProof_2etag_27__00,c_27type_2elist_2elist_27__01(c_27type_2ewordSem_2eword__loc_27__01(V_27A_27))))),c_27const_2egc__shared_2eheap__lookup_27__02(s__02(c_27type_2enum_2enum_27__00,V_27a_27),s__02(c_27type_2elist_2elist_27__01(c_27type_2egc__shared_2eheap__element_27__02(c_27type_2ewordSem_2eword__loc_27__01(V_27A_27),c_27type_2epair_2eprod_27__02(c_27type_2edata__to__word__memoryProof_2etag_27__00,c_27type_2elist_2elist_27__01(c_27type_2ewordSem_2eword__loc_27__01(V_27A_27))))),V_27heap_27)))))))
=> ! [V_27conf_27,V_27stack_27,V_27refs_27,V_27roots_27,V_27heap_27,V_27be_27] :
( p__01(s__02(cbool__00,c_27const_2edata__to__word__memoryProof_2ebc__stack__ref__inv_27__04(s__02(c_27type_2edata__to__word_2econfig_27__00,V_27conf_27),s__02(c_27type_2elist_2elist_27__01(c_27type_2ebvlSem_2ev_27__00),V_27stack_27),s__02(c_27type_2efinite__map_2efmap_27__02(c_27type_2enum_2enum_27__00,c_27type_2eclosSem_2eref_27__01(c_27type_2ebvlSem_2ev_27__00)),V_27refs_27),s__02(c_27type_2epair_2eprod_27__02(c_27type_2elist_2elist_27__01(c_27type_2egc__shared_2eheap__address_27__01(c_27type_2ewordSem_2eword__loc_27__01(V_27A_27))),c_27type_2epair_2eprod_27__02(c_27type_2elist_2elist_27__01(c_27type_2egc__shared_2eheap__element_27__02(c_27type_2ewordSem_2eword__loc_27__01(V_27A_27),c_27type_2epair_2eprod_27__02(c_27type_2edata__to__word__memoryProof_2etag_27__00,c_27type_2elist_2elist_27__01(c_27type_2ewordSem_2eword__loc_27__01(V_27A_27))))),cbool__00)),c_27const_2epair_2e_2c_27__02(s__02(c_27type_2elist_2elist_27__01(c_27type_2egc__shared_2eheap__address_27__01(c_27type_2ewordSem_2eword__loc_27__01(V_27A_27))),V_27roots_27),s__02(c_27type_2epair_2eprod_27__02(c_27type_2elist_2elist_27__01(c_27type_2egc__shared_2eheap__element_27__02(c_27type_2ewordSem_2eword__loc_27__01(V_27A_27),c_27type_2epair_2eprod_27__02(c_27type_2edata__to__word__memoryProof_2etag_27__00,c_27type_2elist_2elist_27__01(c_27type_2ewordSem_2eword__loc_27__01(V_27A_27))))),cbool__00),c_27const_2epair_2e_2c_27__02(s__02(c_27type_2elist_2elist_27__01(c_27type_2egc__shared_2eheap__element_27__02(c_27type_2ewordSem_2eword__loc_27__01(V_27A_27),c_27type_2epair_2eprod_27__02(c_27type_2edata__to__word__memoryProof_2etag_27__00,c_27type_2elist_2elist_27__01(c_27type_2ewordSem_2eword__loc_27__01(V_27A_27))))),V_27heap_27),s__02(cbool__00,V_27be_27))))))))
<=> ? [V_27f_27] :
( p__01(s__02(cbool__00,c_27const_2epred__set_2eINJ_27__03(s__02(cfun__02(c_27type_2enum_2enum_27__00,c_27type_2enum_2enum_27__00),c_27const_2efinite__map_2eFAPPLY_27__01(s__02(c_27type_2efinite__map_2efmap_27__02(c_27type_2enum_2enum_27__00,c_27type_2enum_2enum_27__00),V_27f_27))),s__02(cfun__02(c_27type_2enum_2enum_27__00,cbool__00),c_27const_2efinite__map_2eFDOM_27__01(s__02(c_27type_2efinite__map_2efmap_27__02(c_27type_2enum_2enum_27__00,c_27type_2enum_2enum_27__00),V_27f_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_2elist_2elist_27__01(c_27type_2egc__shared_2eheap__element_27__02(c_27type_2ewordSem_2eword__loc_27__01(V_27A_27),c_27type_2epair_2eprod_27__02(c_27type_2edata__to__word__memoryProof_2etag_27__00,c_27type_2elist_2elist_27__01(c_27type_2ewordSem_2eword__loc_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_2elist_2elist_27__01(c_27type_2egc__shared_2eheap__element_27__02(c_27type_2ewordSem_2eword__loc_27__01(V_27A_27),c_27type_2epair_2eprod_27__02(c_27type_2edata__to__word__memoryProof_2etag_27__00,c_27type_2elist_2elist_27__01(c_27type_2ewordSem_2eword__loc_27__01(V_27A_27))))),V_27heap_27))))))))
& p__01(s__02(cbool__00,c_27const_2epred__set_2eSUBSET_27__02(s__02(cfun__02(c_27type_2enum_2enum_27__00,cbool__00),c_27const_2efinite__map_2eFDOM_27__01(s__02(c_27type_2efinite__map_2efmap_27__02(c_27type_2enum_2enum_27__00,c_27type_2enum_2enum_27__00),V_27f_27))),s__02(cfun__02(c_27type_2enum_2enum_27__00,cbool__00),c_27const_2efinite__map_2eFDOM_27__01(s__02(c_27type_2efinite__map_2efmap_27__02(c_27type_2enum_2enum_27__00,c_27type_2eclosSem_2eref_27__01(c_27type_2ebvlSem_2ev_27__00)),V_27refs_27))))))
& p__01(s__02(cbool__00,c_27const_2elist_2eLIST__REL_27__03(s__02(cfun__02(c_27type_2ebvlSem_2ev_27__00,cfun__02(c_27type_2egc__shared_2eheap__address_27__01(c_27type_2ewordSem_2eword__loc_27__01(V_27A_27)),cbool__00)),chapp__02(s__02(cfun__02(c_27type_2elist_2elist_27__01(c_27type_2egc__shared_2eheap__element_27__02(c_27type_2ewordSem_2eword__loc_27__01(V_27A_27),c_27type_2epair_2eprod_27__02(c_27type_2edata__to__word__memoryProof_2etag_27__00,c_27type_2elist_2elist_27__01(c_27type_2ewordSem_2eword__loc_27__01(V_27A_27))))),cfun__02(c_27type_2ebvlSem_2ev_27__00,cfun__02(c_27type_2egc__shared_2eheap__address_27__01(c_27type_2ewordSem_2eword__loc_27__01(V_27A_27)),cbool__00))),chapp__02(s__02(cfun__02(c_27type_2efinite__map_2efmap_27__02(c_27type_2enum_2enum_27__00,c_27type_2enum_2enum_27__00),cfun__02(c_27type_2elist_2elist_27__01(c_27type_2egc__shared_2eheap__element_27__02(c_27type_2ewordSem_2eword__loc_27__01(V_27A_27),c_27type_2epair_2eprod_27__02(c_27type_2edata__to__word__memoryProof_2etag_27__00,c_27type_2elist_2elist_27__01(c_27type_2ewordSem_2eword__loc_27__01(V_27A_27))))),cfun__02(c_27type_2ebvlSem_2ev_27__00,cfun__02(c_27type_2egc__shared_2eheap__address_27__01(c_27type_2ewordSem_2eword__loc_27__01(V_27A_27)),cbool__00)))),chapp__02(s__02(cfun__02(c_27type_2edata__to__word_2econfig_27__00,cfun__02(c_27type_2efinite__map_2efmap_27__02(c_27type_2enum_2enum_27__00,c_27type_2enum_2enum_27__00),cfun__02(c_27type_2elist_2elist_27__01(c_27type_2egc__shared_2eheap__element_27__02(c_27type_2ewordSem_2eword__loc_27__01(V_27A_27),c_27type_2epair_2eprod_27__02(c_27type_2edata__to__word__memoryProof_2etag_27__00,c_27type_2elist_2elist_27__01(c_27type_2ewordSem_2eword__loc_27__01(V_27A_27))))),cfun__02(c_27type_2ebvlSem_2ev_27__00,cfun__02(c_27type_2egc__shared_2eheap__address_27__01(c_27type_2ewordSem_2eword__loc_27__01(V_27A_27)),cbool__00))))),V__1),s__02(c_27type_2edata__to__word_2econfig_27__00,V_27conf_27))),s__02(c_27type_2efinite__map_2efmap_27__02(c_27type_2enum_2enum_27__00,c_27type_2enum_2enum_27__00),V_27f_27))),s__02(c_27type_2elist_2elist_27__01(c_27type_2egc__shared_2eheap__element_27__02(c_27type_2ewordSem_2eword__loc_27__01(V_27A_27),c_27type_2epair_2eprod_27__02(c_27type_2edata__to__word__memoryProof_2etag_27__00,c_27type_2elist_2elist_27__01(c_27type_2ewordSem_2eword__loc_27__01(V_27A_27))))),V_27heap_27))),s__02(c_27type_2elist_2elist_27__01(c_27type_2ebvlSem_2ev_27__00),V_27stack_27),s__02(c_27type_2elist_2elist_27__01(c_27type_2egc__shared_2eheap__address_27__01(c_27type_2ewordSem_2eword__loc_27__01(V_27A_27))),V_27roots_27))))
& ! [V_27n_27] :
( p__01(s__02(cbool__00,c_27const_2edata__to__word__memoryProof_2ereachable__refs_27__03(s__02(c_27type_2elist_2elist_27__01(c_27type_2ebvlSem_2ev_27__00),V_27stack_27),s__02(c_27type_2efinite__map_2efmap_27__02(c_27type_2enum_2enum_27__00,c_27type_2eclosSem_2eref_27__01(c_27type_2ebvlSem_2ev_27__00)),V_27refs_27),s__02(c_27type_2enum_2enum_27__00,V_27n_27))))
=> p__01(s__02(cbool__00,c_27const_2edata__to__word__memoryProof_2ebc__ref__inv_27__04(s__02(c_27type_2edata__to__word_2econfig_27__00,V_27conf_27),s__02(c_27type_2enum_2enum_27__00,V_27n_27),s__02(c_27type_2efinite__map_2efmap_27__02(c_27type_2enum_2enum_27__00,c_27type_2eclosSem_2eref_27__01(c_27type_2ebvlSem_2ev_27__00)),V_27refs_27),s__02(c_27type_2epair_2eprod_27__02(c_27type_2efinite__map_2efmap_27__02(c_27type_2enum_2enum_27__00,c_27type_2enum_2enum_27__00),c_27type_2epair_2eprod_27__02(c_27type_2elist_2elist_27__01(c_27type_2egc__shared_2eheap__element_27__02(c_27type_2ewordSem_2eword__loc_27__01(V_27A_27),c_27type_2epair_2eprod_27__02(c_27type_2edata__to__word__memoryProof_2etag_27__00,c_27type_2elist_2elist_27__01(c_27type_2ewordSem_2eword__loc_27__01(V_27A_27))))),cbool__00)),c_27const_2epair_2e_2c_27__02(s__02(c_27type_2efinite__map_2efmap_27__02(c_27type_2enum_2enum_27__00,c_27type_2enum_2enum_27__00),V_27f_27),s__02(c_27type_2epair_2eprod_27__02(c_27type_2elist_2elist_27__01(c_27type_2egc__shared_2eheap__element_27__02(c_27type_2ewordSem_2eword__loc_27__01(V_27A_27),c_27type_2epair_2eprod_27__02(c_27type_2edata__to__word__memoryProof_2etag_27__00,c_27type_2elist_2elist_27__01(c_27type_2ewordSem_2eword__loc_27__01(V_27A_27))))),cbool__00),c_27const_2epair_2e_2c_27__02(s__02(c_27type_2elist_2elist_27__01(c_27type_2egc__shared_2eheap__element_27__02(c_27type_2ewordSem_2eword__loc_27__01(V_27A_27),c_27type_2epair_2eprod_27__02(c_27type_2edata__to__word__memoryProof_2etag_27__00,c_27type_2elist_2elist_27__01(c_27type_2ewordSem_2eword__loc_27__01(V_27A_27))))),V_27heap_27),s__02(cbool__00,V_27be_27)))))))) ) ) ) ) ) ) ).
fof('thm.data_to_word_memoryProof.abs_ml_inv_def',axiom,
! [V_27A_27,V_27conf_27,V_27stack_27,V_27refs_27,V_27roots_27,V_27heap_27,V_27be_27,V_27a_27,V_27sp_27,V_27sp1_27,V_27gens_27,V_27limit_27] :
( p__01(s__02(cbool__00,c_27const_2edata__to__word__memoryProof_2eabs__ml__inv_27__05(s__02(c_27type_2edata__to__word_2econfig_27__00,V_27conf_27),s__02(c_27type_2elist_2elist_27__01(c_27type_2ebvlSem_2ev_27__00),V_27stack_27),s__02(c_27type_2efinite__map_2efmap_27__02(c_27type_2enum_2enum_27__00,c_27type_2eclosSem_2eref_27__01(c_27type_2ebvlSem_2ev_27__00)),V_27refs_27),s__02(c_27type_2epair_2eprod_27__02(c_27type_2elist_2elist_27__01(c_27type_2egc__shared_2eheap__address_27__01(c_27type_2ewordSem_2eword__loc_27__01(V_27A_27))),c_27type_2epair_2eprod_27__02(c_27type_2elist_2elist_27__01(c_27type_2egc__shared_2eheap__element_27__02(c_27type_2ewordSem_2eword__loc_27__01(V_27A_27),c_27type_2epair_2eprod_27__02(c_27type_2edata__to__word__memoryProof_2etag_27__00,c_27type_2elist_2elist_27__01(c_27type_2ewordSem_2eword__loc_27__01(V_27A_27))))),c_27type_2epair_2eprod_27__02(cbool__00,c_27type_2epair_2eprod_27__02(c_27type_2enum_2enum_27__00,c_27type_2epair_2eprod_27__02(c_27type_2enum_2enum_27__00,c_27type_2epair_2eprod_27__02(c_27type_2enum_2enum_27__00,c_27type_2egc__combined_2egen__state_27__00)))))),c_27const_2epair_2e_2c_27__02(s__02(c_27type_2elist_2elist_27__01(c_27type_2egc__shared_2eheap__address_27__01(c_27type_2ewordSem_2eword__loc_27__01(V_27A_27))),V_27roots_27),s__02(c_27type_2epair_2eprod_27__02(c_27type_2elist_2elist_27__01(c_27type_2egc__shared_2eheap__element_27__02(c_27type_2ewordSem_2eword__loc_27__01(V_27A_27),c_27type_2epair_2eprod_27__02(c_27type_2edata__to__word__memoryProof_2etag_27__00,c_27type_2elist_2elist_27__01(c_27type_2ewordSem_2eword__loc_27__01(V_27A_27))))),c_27type_2epair_2eprod_27__02(cbool__00,c_27type_2epair_2eprod_27__02(c_27type_2enum_2enum_27__00,c_27type_2epair_2eprod_27__02(c_27type_2enum_2enum_27__00,c_27type_2epair_2eprod_27__02(c_27type_2enum_2enum_27__00,c_27type_2egc__combined_2egen__state_27__00))))),c_27const_2epair_2e_2c_27__02(s__02(c_27type_2elist_2elist_27__01(c_27type_2egc__shared_2eheap__element_27__02(c_27type_2ewordSem_2eword__loc_27__01(V_27A_27),c_27type_2epair_2eprod_27__02(c_27type_2edata__to__word__memoryProof_2etag_27__00,c_27type_2elist_2elist_27__01(c_27type_2ewordSem_2eword__loc_27__01(V_27A_27))))),V_27heap_27),s__02(c_27type_2epair_2eprod_27__02(cbool__00,c_27type_2epair_2eprod_27__02(c_27type_2enum_2enum_27__00,c_27type_2epair_2eprod_27__02(c_27type_2enum_2enum_27__00,c_27type_2epair_2eprod_27__02(c_27type_2enum_2enum_27__00,c_27type_2egc__combined_2egen__state_27__00)))),c_27const_2epair_2e_2c_27__02(s__02(cbool__00,V_27be_27),s__02(c_27type_2epair_2eprod_27__02(c_27type_2enum_2enum_27__00,c_27type_2epair_2eprod_27__02(c_27type_2enum_2enum_27__00,c_27type_2epair_2eprod_27__02(c_27type_2enum_2enum_27__00,c_27type_2egc__combined_2egen__state_27__00))),c_27const_2epair_2e_2c_27__02(s__02(c_27type_2enum_2enum_27__00,V_27a_27),s__02(c_27type_2epair_2eprod_27__02(c_27type_2enum_2enum_27__00,c_27type_2epair_2eprod_27__02(c_27type_2enum_2enum_27__00,c_27type_2egc__combined_2egen__state_27__00)),c_27const_2epair_2e_2c_27__02(s__02(c_27type_2enum_2enum_27__00,V_27sp_27),s__02(c_27type_2epair_2eprod_27__02(c_27type_2enum_2enum_27__00,c_27type_2egc__combined_2egen__state_27__00),c_27const_2epair_2e_2c_27__02(s__02(c_27type_2enum_2enum_27__00,V_27sp1_27),s__02(c_27type_2egc__combined_2egen__state_27__00,V_27gens_27))))))))))))),s__02(c_27type_2enum_2enum_27__00,V_27limit_27))))
<=> ( p__01(s__02(cbool__00,c_27const_2egc__shared_2eroots__ok_27__02(s__02(c_27type_2elist_2elist_27__01(c_27type_2egc__shared_2eheap__address_27__01(c_27type_2ewordSem_2eword__loc_27__01(V_27A_27))),V_27roots_27),s__02(c_27type_2elist_2elist_27__01(c_27type_2egc__shared_2eheap__element_27__02(c_27type_2ewordSem_2eword__loc_27__01(V_27A_27),c_27type_2epair_2eprod_27__02(c_27type_2edata__to__word__memoryProof_2etag_27__00,c_27type_2elist_2elist_27__01(c_27type_2ewordSem_2eword__loc_27__01(V_27A_27))))),V_27heap_27))))
& p__01(s__02(cbool__00,c_27const_2egc__shared_2eheap__ok_27__02(s__02(c_27type_2elist_2elist_27__01(c_27type_2egc__shared_2eheap__element_27__02(c_27type_2ewordSem_2eword__loc_27__01(V_27A_27),c_27type_2epair_2eprod_27__02(c_27type_2edata__to__word__memoryProof_2etag_27__00,c_27type_2elist_2elist_27__01(c_27type_2ewordSem_2eword__loc_27__01(V_27A_27))))),V_27heap_27),s__02(c_27type_2enum_2enum_27__00,V_27limit_27))))
& p__01(s__02(cbool__00,c_27const_2edata__to__word__memoryProof_2egc__kind__inv_27__06(s__02(c_27type_2edata__to__word_2econfig_27__00,V_27conf_27),s__02(c_27type_2enum_2enum_27__00,V_27a_27),s__02(c_27type_2enum_2enum_27__00,V_27sp_27),s__02(c_27type_2enum_2enum_27__00,V_27sp1_27),s__02(c_27type_2egc__combined_2egen__state_27__00,V_27gens_27),s__02(c_27type_2elist_2elist_27__01(c_27type_2egc__shared_2eheap__element_27__02(c_27type_2ewordSem_2eword__loc_27__01(V_27A_27),c_27type_2epair_2eprod_27__02(c_27type_2edata__to__word__memoryProof_2etag_27__00,c_27type_2elist_2elist_27__01(c_27type_2ewordSem_2eword__loc_27__01(V_27A_27))))),V_27heap_27))))
& p__01(s__02(cbool__00,c_27const_2edata__to__word__memoryProof_2eunused__space__inv_27__03(s__02(c_27type_2enum_2enum_27__00,V_27a_27),s__02(c_27type_2enum_2enum_27__00,c_27const_2earithmetic_2e_2b_27__02(s__02(c_27type_2enum_2enum_27__00,V_27sp_27),s__02(c_27type_2enum_2enum_27__00,V_27sp1_27))),s__02(c_27type_2elist_2elist_27__01(c_27type_2egc__shared_2eheap__element_27__02(c_27type_2ewordSem_2eword__loc_27__01(V_27A_27),c_27type_2epair_2eprod_27__02(c_27type_2edata__to__word__memoryProof_2etag_27__00,c_27type_2elist_2elist_27__01(c_27type_2ewordSem_2eword__loc_27__01(V_27A_27))))),V_27heap_27))))
& p__01(s__02(cbool__00,c_27const_2edata__to__word__memoryProof_2ebc__stack__ref__inv_27__04(s__02(c_27type_2edata__to__word_2econfig_27__00,V_27conf_27),s__02(c_27type_2elist_2elist_27__01(c_27type_2ebvlSem_2ev_27__00),V_27stack_27),s__02(c_27type_2efinite__map_2efmap_27__02(c_27type_2enum_2enum_27__00,c_27type_2eclosSem_2eref_27__01(c_27type_2ebvlSem_2ev_27__00)),V_27refs_27),s__02(c_27type_2epair_2eprod_27__02(c_27type_2elist_2elist_27__01(c_27type_2egc__shared_2eheap__address_27__01(c_27type_2ewordSem_2eword__loc_27__01(V_27A_27))),c_27type_2epair_2eprod_27__02(c_27type_2elist_2elist_27__01(c_27type_2egc__shared_2eheap__element_27__02(c_27type_2ewordSem_2eword__loc_27__01(V_27A_27),c_27type_2epair_2eprod_27__02(c_27type_2edata__to__word__memoryProof_2etag_27__00,c_27type_2elist_2elist_27__01(c_27type_2ewordSem_2eword__loc_27__01(V_27A_27))))),cbool__00)),c_27const_2epair_2e_2c_27__02(s__02(c_27type_2elist_2elist_27__01(c_27type_2egc__shared_2eheap__address_27__01(c_27type_2ewordSem_2eword__loc_27__01(V_27A_27))),V_27roots_27),s__02(c_27type_2epair_2eprod_27__02(c_27type_2elist_2elist_27__01(c_27type_2egc__shared_2eheap__element_27__02(c_27type_2ewordSem_2eword__loc_27__01(V_27A_27),c_27type_2epair_2eprod_27__02(c_27type_2edata__to__word__memoryProof_2etag_27__00,c_27type_2elist_2elist_27__01(c_27type_2ewordSem_2eword__loc_27__01(V_27A_27))))),cbool__00),c_27const_2epair_2e_2c_27__02(s__02(c_27type_2elist_2elist_27__01(c_27type_2egc__shared_2eheap__element_27__02(c_27type_2ewordSem_2eword__loc_27__01(V_27A_27),c_27type_2epair_2eprod_27__02(c_27type_2edata__to__word__memoryProof_2etag_27__00,c_27type_2elist_2elist_27__01(c_27type_2ewordSem_2eword__loc_27__01(V_27A_27))))),V_27heap_27),s__02(cbool__00,V_27be_27)))))))) ) ) ).
fof(conjecture,conjecture,
! [V_27A_27,V_27conf_27,V_27xs1_27,V_27stack_27,V_27refs_27,V_27roots_27,V_27heap_27,V_27be_27,V_27a_27,V_27sp_27,V_27sp1_27,V_27gens_27,V_27limit_27] :
( p__01(s__02(cbool__00,c_27const_2edata__to__word__memoryProof_2eabs__ml__inv_27__05(s__02(c_27type_2edata__to__word_2econfig_27__00,V_27conf_27),s__02(c_27type_2elist_2elist_27__01(c_27type_2ebvlSem_2ev_27__00),c_27const_2elist_2eAPPEND_27__02(s__02(c_27type_2elist_2elist_27__01(c_27type_2ebvlSem_2ev_27__00),V_27xs1_27),s__02(c_27type_2elist_2elist_27__01(c_27type_2ebvlSem_2ev_27__00),V_27stack_27))),s__02(c_27type_2efinite__map_2efmap_27__02(c_27type_2enum_2enum_27__00,c_27type_2eclosSem_2eref_27__01(c_27type_2ebvlSem_2ev_27__00)),V_27refs_27),s__02(c_27type_2epair_2eprod_27__02(c_27type_2elist_2elist_27__01(c_27type_2egc__shared_2eheap__address_27__01(c_27type_2ewordSem_2eword__loc_27__01(V_27A_27))),c_27type_2epair_2eprod_27__02(c_27type_2elist_2elist_27__01(c_27type_2egc__shared_2eheap__element_27__02(c_27type_2ewordSem_2eword__loc_27__01(V_27A_27),c_27type_2epair_2eprod_27__02(c_27type_2edata__to__word__memoryProof_2etag_27__00,c_27type_2elist_2elist_27__01(c_27type_2ewordSem_2eword__loc_27__01(V_27A_27))))),c_27type_2epair_2eprod_27__02(cbool__00,c_27type_2epair_2eprod_27__02(c_27type_2enum_2enum_27__00,c_27type_2epair_2eprod_27__02(c_27type_2enum_2enum_27__00,c_27type_2epair_2eprod_27__02(c_27type_2enum_2enum_27__00,c_27type_2egc__combined_2egen__state_27__00)))))),c_27const_2epair_2e_2c_27__02(s__02(c_27type_2elist_2elist_27__01(c_27type_2egc__shared_2eheap__address_27__01(c_27type_2ewordSem_2eword__loc_27__01(V_27A_27))),V_27roots_27),s__02(c_27type_2epair_2eprod_27__02(c_27type_2elist_2elist_27__01(c_27type_2egc__shared_2eheap__element_27__02(c_27type_2ewordSem_2eword__loc_27__01(V_27A_27),c_27type_2epair_2eprod_27__02(c_27type_2edata__to__word__memoryProof_2etag_27__00,c_27type_2elist_2elist_27__01(c_27type_2ewordSem_2eword__loc_27__01(V_27A_27))))),c_27type_2epair_2eprod_27__02(cbool__00,c_27type_2epair_2eprod_27__02(c_27type_2enum_2enum_27__00,c_27type_2epair_2eprod_27__02(c_27type_2enum_2enum_27__00,c_27type_2epair_2eprod_27__02(c_27type_2enum_2enum_27__00,c_27type_2egc__combined_2egen__state_27__00))))),c_27const_2epair_2e_2c_27__02(s__02(c_27type_2elist_2elist_27__01(c_27type_2egc__shared_2eheap__element_27__02(c_27type_2ewordSem_2eword__loc_27__01(V_27A_27),c_27type_2epair_2eprod_27__02(c_27type_2edata__to__word__memoryProof_2etag_27__00,c_27type_2elist_2elist_27__01(c_27type_2ewordSem_2eword__loc_27__01(V_27A_27))))),V_27heap_27),s__02(c_27type_2epair_2eprod_27__02(cbool__00,c_27type_2epair_2eprod_27__02(c_27type_2enum_2enum_27__00,c_27type_2epair_2eprod_27__02(c_27type_2enum_2enum_27__00,c_27type_2epair_2eprod_27__02(c_27type_2enum_2enum_27__00,c_27type_2egc__combined_2egen__state_27__00)))),c_27const_2epair_2e_2c_27__02(s__02(cbool__00,V_27be_27),s__02(c_27type_2epair_2eprod_27__02(c_27type_2enum_2enum_27__00,c_27type_2epair_2eprod_27__02(c_27type_2enum_2enum_27__00,c_27type_2epair_2eprod_27__02(c_27type_2enum_2enum_27__00,c_27type_2egc__combined_2egen__state_27__00))),c_27const_2epair_2e_2c_27__02(s__02(c_27type_2enum_2enum_27__00,V_27a_27),s__02(c_27type_2epair_2eprod_27__02(c_27type_2enum_2enum_27__00,c_27type_2epair_2eprod_27__02(c_27type_2enum_2enum_27__00,c_27type_2egc__combined_2egen__state_27__00)),c_27const_2epair_2e_2c_27__02(s__02(c_27type_2enum_2enum_27__00,V_27sp_27),s__02(c_27type_2epair_2eprod_27__02(c_27type_2enum_2enum_27__00,c_27type_2egc__combined_2egen__state_27__00),c_27const_2epair_2e_2c_27__02(s__02(c_27type_2enum_2enum_27__00,V_27sp1_27),s__02(c_27type_2egc__combined_2egen__state_27__00,V_27gens_27))))))))))))),s__02(c_27type_2enum_2enum_27__00,V_27limit_27))))
=> ? [V_27rs1_27,V_27roots1_27] :
( s__02(c_27type_2elist_2elist_27__01(c_27type_2egc__shared_2eheap__address_27__01(c_27type_2ewordSem_2eword__loc_27__01(V_27A_27))),V_27roots_27) = s__02(c_27type_2elist_2elist_27__01(c_27type_2egc__shared_2eheap__address_27__01(c_27type_2ewordSem_2eword__loc_27__01(V_27A_27))),c_27const_2elist_2eAPPEND_27__02(s__02(c_27type_2elist_2elist_27__01(c_27type_2egc__shared_2eheap__address_27__01(c_27type_2ewordSem_2eword__loc_27__01(V_27A_27))),V_27rs1_27),s__02(c_27type_2elist_2elist_27__01(c_27type_2egc__shared_2eheap__address_27__01(c_27type_2ewordSem_2eword__loc_27__01(V_27A_27))),V_27roots1_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_2egc__shared_2eheap__address_27__01(c_27type_2ewordSem_2eword__loc_27__01(V_27A_27))),V_27rs1_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_2ebvlSem_2ev_27__00),V_27xs1_27))) ) ) ).
%------------------------------------------------------------------------------