TPTP Problem File: SWW938+1.p
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%------------------------------------------------------------------------------
% File : SWW938+1 : TPTP v8.2.0. Released v7.3.0.
% Domain : Software Verification
% Problem : stack_to_labProof__29__state_rel_with_clock__dep
% Version : Especial.
% English :
% Refs : [Kum18] Kumar (2018), Email to Geoff Sutcliffe
% Source : [Kum18]
% Names : stack_to_labProof__29__state_rel_with_clock__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 : 34 ( 5 unt; 0 def)
% Number of atoms : 188 ( 36 equ)
% Maximal formula atoms : 27 ( 5 avg)
% Number of connectives : 198 ( 44 ~; 25 |; 50 &)
% ( 36 <=>; 43 =>; 0 <=; 0 <~>)
% Maximal formula depth : 25 ( 6 avg)
% Maximal term depth : 16 ( 2 avg)
% Number of predicates : 2 ( 1 usr; 0 prp; 1-2 aty)
% Number of functors : 79 ( 79 usr; 9 con; 0-6 aty)
% Number of variables : 84 ( 83 !; 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.EXISTS_DEF',axiom,
! [V_27A_27,Vx] : s__02(cbool__00,c_24exists__01(s__02(cfun__02(V_27A_27,cbool__00),Vx))) = s__02(cbool__00,chapp__02(s__02(cfun__02(V_27A_27,cbool__00),Vx),s__02(V_27A_27,c_27const_2emin_2e_40_27__01(s__02(cfun__02(V_27A_27,cbool__00),Vx))))) ).
fof('thm.bool.SELECT_AX',axiom,
! [V_27A_27,V_27P_27,V_27x_27] :
( p__01(s__02(cbool__00,chapp__02(s__02(cfun__02(V_27A_27,cbool__00),V_27P_27),s__02(V_27A_27,V_27x_27))))
=> p__01(s__02(cbool__00,chapp__02(s__02(cfun__02(V_27A_27,cbool__00),V_27P_27),s__02(V_27A_27,c_27const_2emin_2e_40_27__01(s__02(cfun__02(V_27A_27,cbool__00),V_27P_27)))))) ) ).
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.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.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.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.RIGHT_OR_OVER_AND',axiom,
! [V_27A_270,V_27B_270,V_27C_27] :
( ( ( p__01(s__02(cbool__00,V_27B_270))
& p__01(s__02(cbool__00,V_27C_27)) )
| p__01(s__02(cbool__00,V_27A_270)) )
<=> ( ( p__01(s__02(cbool__00,V_27B_270))
| p__01(s__02(cbool__00,V_27A_270)) )
& ( p__01(s__02(cbool__00,V_27C_27))
| p__01(s__02(cbool__00,V_27A_270)) ) ) ) ).
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.combin.K_THM',axiom,
! [V_27B_27,V_27A_27,V_27x_27,V_27y_27] : s__02(V_27A_27,chapp__02(s__02(cfun__02(V_27B_27,V_27A_27),c_27const_2ecombin_2eK_27__01(s__02(V_27A_27,V_27x_27))),s__02(V_27B_27,V_27y_27))) = s__02(V_27A_27,V_27x_27) ).
fof('thm.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_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.option.SOME_11',axiom,
! [V_27A_27,V_27x_27,V_27y_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_2eoption_2eSOME_27__01(s__02(V_27A_27,V_27y_27)))
<=> s__02(V_27A_27,V_27x_27) = s__02(V_27A_27,V_27y_27) ) ).
fof('thm.stack_to_labProof.state_rel_def',axiom,
! [V_27A_27,V_27B_27,V_27s_27,V_27t_27] :
( p__01(s__02(cbool__00,c_27const_2estack__to__labProof_2estate__rel_27__02(s__02(c_27type_2estackSem_2estate_27__02(V_27A_27,V_27B_27),V_27s_27),s__02(c_27type_2elabSem_2estate_27__02(V_27A_27,V_27B_27),V_27t_27))))
<=> ( ! [V_27n_27,V_27v_27] :
( s__02(c_27type_2eoption_2eoption_27__01(c_27type_2ewordSem_2eword__loc_27__01(V_27A_27)),c_27const_2efinite__map_2eFLOOKUP_27__02(s__02(c_27type_2efinite__map_2efmap_27__02(c_27type_2enum_2enum_27__00,c_27type_2ewordSem_2eword__loc_27__01(V_27A_27)),c_27const_2estackSem_2estate__regs_27__01(s__02(c_27type_2estackSem_2estate_27__02(V_27A_27,V_27B_27),V_27s_27))),s__02(c_27type_2enum_2enum_27__00,V_27n_27))) = s__02(c_27type_2eoption_2eoption_27__01(c_27type_2ewordSem_2eword__loc_27__01(V_27A_27)),c_27const_2eoption_2eSOME_27__01(s__02(c_27type_2ewordSem_2eword__loc_27__01(V_27A_27),V_27v_27)))
=> s__02(c_27type_2ewordSem_2eword__loc_27__01(V_27A_27),c_27const_2elabSem_2estate__regs_27__02(s__02(c_27type_2elabSem_2estate_27__02(V_27A_27,V_27B_27),V_27t_27),s__02(c_27type_2enum_2enum_27__00,V_27n_27))) = s__02(c_27type_2ewordSem_2eword__loc_27__01(V_27A_27),V_27v_27) )
& ! [V_27n_27,V_27v_27] :
( s__02(c_27type_2eoption_2eoption_27__01(c_27type_2efcp_2ecart_27__02(cbool__00,c_27type_2efcp_2ebit0_27__01(c_27type_2efcp_2ebit0_27__01(c_27type_2efcp_2ebit0_27__01(c_27type_2efcp_2ebit0_27__01(c_27type_2efcp_2ebit0_27__01(c_27type_2efcp_2ebit0_27__01(c_27type_2eone_2eone_27__00)))))))),c_27const_2efinite__map_2eFLOOKUP_27__02(s__02(c_27type_2efinite__map_2efmap_27__02(c_27type_2enum_2enum_27__00,c_27type_2efcp_2ecart_27__02(cbool__00,c_27type_2efcp_2ebit0_27__01(c_27type_2efcp_2ebit0_27__01(c_27type_2efcp_2ebit0_27__01(c_27type_2efcp_2ebit0_27__01(c_27type_2efcp_2ebit0_27__01(c_27type_2efcp_2ebit0_27__01(c_27type_2eone_2eone_27__00)))))))),c_27const_2estackSem_2estate__fp__regs_27__01(s__02(c_27type_2estackSem_2estate_27__02(V_27A_27,V_27B_27),V_27s_27))),s__02(c_27type_2enum_2enum_27__00,V_27n_27))) = s__02(c_27type_2eoption_2eoption_27__01(c_27type_2efcp_2ecart_27__02(cbool__00,c_27type_2efcp_2ebit0_27__01(c_27type_2efcp_2ebit0_27__01(c_27type_2efcp_2ebit0_27__01(c_27type_2efcp_2ebit0_27__01(c_27type_2efcp_2ebit0_27__01(c_27type_2efcp_2ebit0_27__01(c_27type_2eone_2eone_27__00)))))))),c_27const_2eoption_2eSOME_27__01(s__02(c_27type_2efcp_2ecart_27__02(cbool__00,c_27type_2efcp_2ebit0_27__01(c_27type_2efcp_2ebit0_27__01(c_27type_2efcp_2ebit0_27__01(c_27type_2efcp_2ebit0_27__01(c_27type_2efcp_2ebit0_27__01(c_27type_2efcp_2ebit0_27__01(c_27type_2eone_2eone_27__00))))))),V_27v_27)))
=> s__02(c_27type_2efcp_2ecart_27__02(cbool__00,c_27type_2efcp_2ebit0_27__01(c_27type_2efcp_2ebit0_27__01(c_27type_2efcp_2ebit0_27__01(c_27type_2efcp_2ebit0_27__01(c_27type_2efcp_2ebit0_27__01(c_27type_2efcp_2ebit0_27__01(c_27type_2eone_2eone_27__00))))))),c_27const_2elabSem_2estate__fp__regs_27__02(s__02(c_27type_2elabSem_2estate_27__02(V_27A_27,V_27B_27),V_27t_27),s__02(c_27type_2enum_2enum_27__00,V_27n_27))) = s__02(c_27type_2efcp_2ecart_27__02(cbool__00,c_27type_2efcp_2ebit0_27__01(c_27type_2efcp_2ebit0_27__01(c_27type_2efcp_2ebit0_27__01(c_27type_2efcp_2ebit0_27__01(c_27type_2efcp_2ebit0_27__01(c_27type_2efcp_2ebit0_27__01(c_27type_2eone_2eone_27__00))))))),V_27v_27) )
& s__02(cfun__02(c_27type_2efcp_2ecart_27__02(cbool__00,V_27A_27),c_27type_2ewordSem_2eword__loc_27__01(V_27A_27)),c_27const_2elabSem_2estate__mem_27__01(s__02(c_27type_2elabSem_2estate_27__02(V_27A_27,V_27B_27),V_27t_27))) = s__02(cfun__02(c_27type_2efcp_2ecart_27__02(cbool__00,V_27A_27),c_27type_2ewordSem_2eword__loc_27__01(V_27A_27)),c_27const_2estackSem_2estate__memory_27__01(s__02(c_27type_2estackSem_2estate_27__02(V_27A_27,V_27B_27),V_27s_27)))
& s__02(cfun__02(c_27type_2efcp_2ecart_27__02(cbool__00,V_27A_27),cbool__00),c_27const_2elabSem_2estate__mem__domain_27__01(s__02(c_27type_2elabSem_2estate_27__02(V_27A_27,V_27B_27),V_27t_27))) = s__02(cfun__02(c_27type_2efcp_2ecart_27__02(cbool__00,V_27A_27),cbool__00),c_27const_2estackSem_2estate__mdomain_27__01(s__02(c_27type_2estackSem_2estate_27__02(V_27A_27,V_27B_27),V_27s_27)))
& s__02(cbool__00,c_27const_2elabSem_2estate__be_27__01(s__02(c_27type_2elabSem_2estate_27__02(V_27A_27,V_27B_27),V_27t_27))) = s__02(cbool__00,c_27const_2estackSem_2estate__be_27__01(s__02(c_27type_2estackSem_2estate_27__02(V_27A_27,V_27B_27),V_27s_27)))
& s__02(c_27type_2effi_2effi__state_27__01(V_27B_27),c_27const_2elabSem_2estate__ffi_27__01(s__02(c_27type_2elabSem_2estate_27__02(V_27A_27,V_27B_27),V_27t_27))) = s__02(c_27type_2effi_2effi__state_27__01(V_27B_27),c_27const_2estackSem_2estate__ffi_27__01(s__02(c_27type_2estackSem_2estate_27__02(V_27A_27,V_27B_27),V_27s_27)))
& s__02(c_27type_2enum_2enum_27__00,c_27const_2elabSem_2estate__clock_27__01(s__02(c_27type_2elabSem_2estate_27__02(V_27A_27,V_27B_27),V_27t_27))) = s__02(c_27type_2enum_2enum_27__00,c_27const_2estackSem_2estate__clock_27__01(s__02(c_27type_2estackSem_2estate_27__02(V_27A_27,V_27B_27),V_27s_27)))
& ! [V_27n_27,V_27prog_27] :
( s__02(c_27type_2eoption_2eoption_27__01(c_27type_2estackLang_2eprog_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(c_27type_2estackLang_2eprog_27__01(V_27A_27)),c_27const_2estackSem_2estate__code_27__01(s__02(c_27type_2estackSem_2estate_27__02(V_27A_27,V_27B_27),V_27s_27))))) = s__02(c_27type_2eoption_2eoption_27__01(c_27type_2estackLang_2eprog_27__01(V_27A_27)),c_27const_2eoption_2eSOME_27__01(s__02(c_27type_2estackLang_2eprog_27__01(V_27A_27),V_27prog_27)))
=> ( p__01(s__02(cbool__00,c_27const_2estackProps_2ecall__args_27__06(s__02(c_27type_2estackLang_2eprog_27__01(V_27A_27),V_27prog_27),s__02(c_27type_2enum_2enum_27__00,c_27const_2elabSem_2estate__ptr__reg_27__01(s__02(c_27type_2elabSem_2estate_27__02(V_27A_27,V_27B_27),V_27t_27))),s__02(c_27type_2enum_2enum_27__00,c_27const_2elabSem_2estate__len__reg_27__01(s__02(c_27type_2elabSem_2estate_27__02(V_27A_27,V_27B_27),V_27t_27))),s__02(c_27type_2enum_2enum_27__00,c_27const_2elabSem_2estate__ptr2__reg_27__01(s__02(c_27type_2elabSem_2estate_27__02(V_27A_27,V_27B_27),V_27t_27))),s__02(c_27type_2enum_2enum_27__00,c_27const_2elabSem_2estate__len2__reg_27__01(s__02(c_27type_2elabSem_2estate_27__02(V_27A_27,V_27B_27),V_27t_27))),s__02(c_27type_2enum_2enum_27__00,c_27const_2elabSem_2estate__link__reg_27__01(s__02(c_27type_2elabSem_2estate_27__02(V_27A_27,V_27B_27),V_27t_27))))))
& ? [V_27pc_27] :
( p__01(s__02(cbool__00,c_27const_2estack__to__labProof_2ecode__installed_27__03(s__02(c_27type_2enum_2enum_27__00,V_27pc_27),s__02(c_27type_2elist_2elist_27__01(c_27type_2elabLang_2eline_27__01(V_27A_27)),c_27const_2emisc_2eappend_27__01(s__02(c_27type_2emisc_2eapp__list_27__01(c_27type_2elabLang_2eline_27__01(V_27A_27)),c_27const_2epair_2eFST_27__01(s__02(c_27type_2epair_2eprod_27__02(c_27type_2emisc_2eapp__list_27__01(c_27type_2elabLang_2eline_27__01(V_27A_27)),c_27type_2epair_2eprod_27__02(cbool__00,c_27type_2enum_2enum_27__00)),c_27const_2estack__to__lab_2eflatten_27__03(s__02(c_27type_2estackLang_2eprog_27__01(V_27A_27),V_27prog_27),s__02(c_27type_2enum_2enum_27__00,V_27n_27),s__02(c_27type_2enum_2enum_27__00,c_27const_2estack__alloc_2enext__lab_27__02(s__02(c_27type_2estackLang_2eprog_27__01(V_27A_27),V_27prog_27),s__02(c_27type_2enum_2enum_27__00,c_27const_2earithmetic_2eNUMERAL_27__01(s__02(c_27type_2enum_2enum_27__00,c_27const_2earithmetic_2eBIT1_27__01(s__02(c_27type_2enum_2enum_27__00,c_27const_2earithmetic_2eZERO_27__00))))))))))))),s__02(c_27type_2elist_2elist_27__01(c_27type_2elabLang_2esec_27__01(V_27A_27)),c_27const_2elabSem_2estate__code_27__01(s__02(c_27type_2elabSem_2estate_27__02(V_27A_27,V_27B_27),V_27t_27))))))
& s__02(c_27type_2eoption_2eoption_27__01(c_27type_2enum_2enum_27__00),c_27const_2elabSem_2eloc__to__pc_27__03(s__02(c_27type_2enum_2enum_27__00,V_27n_27),s__02(c_27type_2enum_2enum_27__00,c_27const_2enum_2e0_27__00),s__02(c_27type_2elist_2elist_27__01(c_27type_2elabLang_2esec_27__01(V_27A_27)),c_27const_2elabSem_2estate__code_27__01(s__02(c_27type_2elabSem_2estate_27__02(V_27A_27,V_27B_27),V_27t_27))))) = s__02(c_27type_2eoption_2eoption_27__01(c_27type_2enum_2enum_27__00),c_27const_2eoption_2eSOME_27__01(s__02(c_27type_2enum_2enum_27__00,V_27pc_27))) ) ) )
& ~ p__01(s__02(cbool__00,c_27const_2elabSem_2estate__failed_27__01(s__02(c_27type_2elabSem_2estate_27__02(V_27A_27,V_27B_27),V_27t_27))))
& s__02(c_27type_2enum_2enum_27__00,c_27const_2elabSem_2estate__link__reg_27__01(s__02(c_27type_2elabSem_2estate_27__02(V_27A_27,V_27B_27),V_27t_27))) != s__02(c_27type_2enum_2enum_27__00,c_27const_2elabSem_2estate__len__reg_27__01(s__02(c_27type_2elabSem_2estate_27__02(V_27A_27,V_27B_27),V_27t_27)))
& s__02(c_27type_2enum_2enum_27__00,c_27const_2elabSem_2estate__link__reg_27__01(s__02(c_27type_2elabSem_2estate_27__02(V_27A_27,V_27B_27),V_27t_27))) != s__02(c_27type_2enum_2enum_27__00,c_27const_2elabSem_2estate__ptr__reg_27__01(s__02(c_27type_2elabSem_2estate_27__02(V_27A_27,V_27B_27),V_27t_27)))
& s__02(c_27type_2enum_2enum_27__00,c_27const_2elabSem_2estate__link__reg_27__01(s__02(c_27type_2elabSem_2estate_27__02(V_27A_27,V_27B_27),V_27t_27))) != s__02(c_27type_2enum_2enum_27__00,c_27const_2elabSem_2estate__len2__reg_27__01(s__02(c_27type_2elabSem_2estate_27__02(V_27A_27,V_27B_27),V_27t_27)))
& s__02(c_27type_2enum_2enum_27__00,c_27const_2elabSem_2estate__link__reg_27__01(s__02(c_27type_2elabSem_2estate_27__02(V_27A_27,V_27B_27),V_27t_27))) != s__02(c_27type_2enum_2enum_27__00,c_27const_2elabSem_2estate__ptr2__reg_27__01(s__02(c_27type_2elabSem_2estate_27__02(V_27A_27,V_27B_27),V_27t_27)))
& ~ p__01(s__02(cbool__00,c_27const_2ebool_2eIN_27__02(s__02(c_27type_2enum_2enum_27__00,c_27const_2elabSem_2estate__link__reg_27__01(s__02(c_27type_2elabSem_2estate_27__02(V_27A_27,V_27B_27),V_27t_27))),s__02(cfun__02(c_27type_2enum_2enum_27__00,cbool__00),c_27const_2estackSem_2estate__ffi__save__regs_27__01(s__02(c_27type_2estackSem_2estate_27__02(V_27A_27,V_27B_27),V_27s_27))))))
& ! [V_27k_27,V_27n_27] :
( p__01(s__02(cbool__00,c_27const_2ebool_2eIN_27__02(s__02(c_27type_2enum_2enum_27__00,V_27k_27),s__02(cfun__02(c_27type_2enum_2enum_27__00,cbool__00),c_27const_2estackSem_2estate__ffi__save__regs_27__01(s__02(c_27type_2estackSem_2estate_27__02(V_27A_27,V_27B_27),V_27s_27))))))
=> s__02(c_27type_2eoption_2eoption_27__01(c_27type_2efcp_2ecart_27__02(cbool__00,V_27A_27)),c_27const_2elabSem_2estate__io__regs_27__03(s__02(c_27type_2elabSem_2estate_27__02(V_27A_27,V_27B_27),V_27t_27),s__02(c_27type_2enum_2enum_27__00,V_27n_27),s__02(c_27type_2enum_2enum_27__00,V_27k_27))) = s__02(c_27type_2eoption_2eoption_27__01(c_27type_2efcp_2ecart_27__02(cbool__00,V_27A_27)),c_27const_2eoption_2eNONE_27__00) )
& ! [V_27x_27] :
( p__01(s__02(cbool__00,c_27const_2ebool_2eIN_27__02(s__02(c_27type_2efcp_2ecart_27__02(cbool__00,V_27A_27),V_27x_27),s__02(cfun__02(c_27type_2efcp_2ecart_27__02(cbool__00,V_27A_27),cbool__00),c_27const_2estackSem_2estate__mdomain_27__01(s__02(c_27type_2estackSem_2estate_27__02(V_27A_27,V_27B_27),V_27s_27))))))
=> s__02(c_27type_2enum_2enum_27__00,c_27const_2earithmetic_2eMOD_27__02(s__02(c_27type_2enum_2enum_27__00,c_27const_2ewords_2ew2n_27__01(s__02(c_27type_2efcp_2ecart_27__02(cbool__00,V_27A_27),V_27x_27))),s__02(c_27type_2enum_2enum_27__00,c_27const_2earithmetic_2eDIV_27__02(s__02(c_27type_2enum_2enum_27__00,c_27const_2efcp_2edimindex_27__01(s__02(c_27type_2ebool_2eitself_27__01(V_27A_27),c_27const_2ebool_2ethe__value_27__00))),s__02(c_27type_2enum_2enum_27__00,c_27const_2earithmetic_2eNUMERAL_27__01(s__02(c_27type_2enum_2enum_27__00,c_27const_2earithmetic_2eBIT2_27__01(s__02(c_27type_2enum_2enum_27__00,c_27const_2earithmetic_2eBIT1_27__01(s__02(c_27type_2enum_2enum_27__00,c_27const_2earithmetic_2eBIT1_27__01(s__02(c_27type_2enum_2enum_27__00,c_27const_2earithmetic_2eZERO_27__00))))))))))))) = s__02(c_27type_2enum_2enum_27__00,c_27const_2enum_2e0_27__00) )
& ~ p__01(s__02(cbool__00,c_27const_2estackSem_2estate__use__stack_27__01(s__02(c_27type_2estackSem_2estate_27__02(V_27A_27,V_27B_27),V_27s_27))))
& ~ p__01(s__02(cbool__00,c_27const_2estackSem_2estate__use__store_27__01(s__02(c_27type_2estackSem_2estate_27__02(V_27A_27,V_27B_27),V_27s_27))))
& ~ p__01(s__02(cbool__00,c_27const_2estackSem_2estate__use__alloc_27__01(s__02(c_27type_2estackSem_2estate_27__02(V_27A_27,V_27B_27),V_27s_27)))) ) ) ).
fof(conjecture,conjecture,
! [V_27A_27,V_27B_27,V_27s_27,V_27t_27,V_27k_27] :
( p__01(s__02(cbool__00,c_27const_2estack__to__labProof_2estate__rel_27__02(s__02(c_27type_2estackSem_2estate_27__02(V_27A_27,V_27B_27),V_27s_27),s__02(c_27type_2elabSem_2estate_27__02(V_27A_27,V_27B_27),V_27t_27))))
=> p__01(s__02(cbool__00,c_27const_2estack__to__labProof_2estate__rel_27__02(s__02(c_27type_2estackSem_2estate_27__02(V_27A_27,V_27B_27),c_27const_2estackSem_2estate__clock__fupd_27__02(s__02(cfun__02(c_27type_2enum_2enum_27__00,c_27type_2enum_2enum_27__00),c_27const_2ecombin_2eK_27__01(s__02(c_27type_2enum_2enum_27__00,V_27k_27))),s__02(c_27type_2estackSem_2estate_27__02(V_27A_27,V_27B_27),V_27s_27))),s__02(c_27type_2elabSem_2estate_27__02(V_27A_27,V_27B_27),c_27const_2elabSem_2estate__clock__fupd_27__02(s__02(cfun__02(c_27type_2enum_2enum_27__00,c_27type_2enum_2enum_27__00),c_27const_2ecombin_2eK_27__01(s__02(c_27type_2enum_2enum_27__00,V_27k_27))),s__02(c_27type_2elabSem_2estate_27__02(V_27A_27,V_27B_27),V_27t_27)))))) ) ).
%------------------------------------------------------------------------------