TPTP Problem File: SWW880+1.p
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%------------------------------------------------------------------------------
% File : SWW880+1 : TPTP v8.2.0. Released v7.3.0.
% Domain : Software Verification
% Problem : infer_eComplete__3__t_compat_pure_add_constraints_2__dep
% Version : Especial.
% English :
% Refs : [Kum18] Kumar (2018), Email to Geoff Sutcliffe
% Source : [Kum18]
% Names : infer_eComplete__3__t_compat_pure_add_constraints_2__dep [Kum18]
% Status : CounterSatisfiable
% Rating : 0.00 v8.2.0, 0.33 v8.1.0, 0.50 v7.5.0, 0.60 v7.4.0, 0.33 v7.3.0
% Syntax : Number of formulae : 46 ( 9 unt; 0 def)
% Number of atoms : 210 ( 33 equ)
% Maximal formula atoms : 15 ( 4 avg)
% Number of connectives : 209 ( 45 ~; 28 |; 49 &)
% ( 40 <=>; 47 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 6 avg)
% Maximal term depth : 11 ( 2 avg)
% Number of predicates : 2 ( 1 usr; 0 prp; 1-2 aty)
% Number of functors : 29 ( 29 usr; 7 con; 0-3 aty)
% Number of variables : 134 ( 131 !; 3 ?)
% 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.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.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.C_DEF',axiom,
! [V_27C_27,V_27A_27,V_27B_27,Vx,Vx0,Vx1] : s__02(V_27C_27,c_27const_2ecombin_2eC_27__03(s__02(cfun__02(V_27A_27,cfun__02(V_27B_27,V_27C_27)),Vx),s__02(V_27B_27,Vx0),s__02(V_27A_27,Vx1))) = s__02(V_27C_27,chapp__02(s__02(cfun__02(V_27B_27,V_27C_27),chapp__02(s__02(cfun__02(V_27A_27,cfun__02(V_27B_27,V_27C_27)),Vx),s__02(V_27A_27,Vx1))),s__02(V_27B_27,Vx0))) ).
fof('thm.combin.o_DEF',axiom,
! [V_27B_27,V_27C_27,V_27A_27,V_27f_27,V_27g_27,Vx] : s__02(V_27B_27,chapp__02(s__02(cfun__02(V_27A_27,V_27B_27),c_27const_2ecombin_2eo_27__02(s__02(cfun__02(V_27C_27,V_27B_27),V_27f_27),s__02(cfun__02(V_27A_27,V_27C_27),V_27g_27))),s__02(V_27A_27,Vx))) = s__02(V_27B_27,chapp__02(s__02(cfun__02(V_27C_27,V_27B_27),V_27f_27),s__02(V_27C_27,chapp__02(s__02(cfun__02(V_27A_27,V_27C_27),V_27g_27),s__02(V_27A_27,Vx))))) ).
fof('thm.combin.I_THM',axiom,
! [V_27A_27,V_27x_27] : s__02(V_27A_27,chapp__02(s__02(cfun__02(V_27A_27,V_27A_27),c_27const_2ecombin_2eI_27__00),s__02(V_27A_27,V_27x_27))) = s__02(V_27A_27,V_27x_27) ).
fof('thm.combin.I_o_ID',axiom,
! [V_27A_27,V_27B_27,V_27f_27] :
( s__02(cfun__02(V_27A_27,V_27B_27),c_27const_2ecombin_2eo_27__02(s__02(cfun__02(V_27B_27,V_27B_27),c_27const_2ecombin_2eI_27__00),s__02(cfun__02(V_27A_27,V_27B_27),V_27f_27))) = s__02(cfun__02(V_27A_27,V_27B_27),V_27f_27)
& s__02(cfun__02(V_27A_27,V_27B_27),c_27const_2ecombin_2eo_27__02(s__02(cfun__02(V_27A_27,V_27B_27),V_27f_27),s__02(cfun__02(V_27A_27,V_27A_27),c_27const_2ecombin_2eI_27__00))) = s__02(cfun__02(V_27A_27,V_27B_27),V_27f_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.pair.ABS_PAIR_THM',axiom,
! [V_27A_27,V_27B_27,V_27x_27] :
? [V_27q_27,V_27r_27] : s__02(c_27type_2epair_2eprod_27__02(V_27A_27,V_27B_27),V_27x_27) = s__02(c_27type_2epair_2eprod_27__02(V_27A_27,V_27B_27),c_27const_2epair_2e_2c_27__02(s__02(V_27A_27,V_27q_27),s__02(V_27B_27,V_27r_27))) ).
fof('thm.pair.UNCURRY_DEF',axiom,
! [V_27C_27,V_27A_27,V_27B_27,V_27f_27,V_27x_27,V_27y_27] : s__02(V_27C_27,chapp__02(s__02(cfun__02(c_27type_2epair_2eprod_27__02(V_27A_27,V_27B_27),V_27C_27),c_27const_2epair_2eUNCURRY_27__01(s__02(cfun__02(V_27A_27,cfun__02(V_27B_27,V_27C_27)),V_27f_27))),s__02(c_27type_2epair_2eprod_27__02(V_27A_27,V_27B_27),c_27const_2epair_2e_2c_27__02(s__02(V_27A_27,V_27x_27),s__02(V_27B_27,V_27y_27))))) = s__02(V_27C_27,chapp__02(s__02(cfun__02(V_27B_27,V_27C_27),chapp__02(s__02(cfun__02(V_27A_27,cfun__02(V_27B_27,V_27C_27)),V_27f_27),s__02(V_27A_27,V_27x_27))),s__02(V_27B_27,V_27y_27))) ).
fof('thm.list.EVERY_DEF',axiom,
! [V_27A_27] :
( ! [V_27P_27] : s__02(cbool__00,c_27const_2elist_2eEVERY_27__02(s__02(cfun__02(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))) = s__02(cbool__00,cT__00)
& ! [V_27P_27,V_27h_27,V_27t_27] :
( p__01(s__02(cbool__00,c_27const_2elist_2eEVERY_27__02(s__02(cfun__02(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))))))
<=> ( 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_27h_27))))
& p__01(s__02(cbool__00,c_27const_2elist_2eEVERY_27__02(s__02(cfun__02(V_27A_27,cbool__00),V_27P_27),s__02(c_27type_2elist_2elist_27__01(V_27A_27),V_27t_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.unify.t_unify_unifier',axiom,
! [V_27t2_27,V_27t1_27,V_27sx_27,V_27s_27] :
( ( p__01(s__02(cbool__00,c_27const_2eunify_2et__wfs_27__01(s__02(c_27type_2efinite__map_2efmap_27__02(c_27type_2enum_2enum_27__00,c_27type_2einfer__t_2einfer__t_27__00),V_27s_27))))
& s__02(c_27type_2eoption_2eoption_27__01(c_27type_2efinite__map_2efmap_27__02(c_27type_2enum_2enum_27__00,c_27type_2einfer__t_2einfer__t_27__00)),c_27const_2eunify_2et__unify_27__03(s__02(c_27type_2efinite__map_2efmap_27__02(c_27type_2enum_2enum_27__00,c_27type_2einfer__t_2einfer__t_27__00),V_27s_27),s__02(c_27type_2einfer__t_2einfer__t_27__00,V_27t1_27),s__02(c_27type_2einfer__t_2einfer__t_27__00,V_27t2_27))) = s__02(c_27type_2eoption_2eoption_27__01(c_27type_2efinite__map_2efmap_27__02(c_27type_2enum_2enum_27__00,c_27type_2einfer__t_2einfer__t_27__00)),c_27const_2eoption_2eSOME_27__01(s__02(c_27type_2efinite__map_2efmap_27__02(c_27type_2enum_2enum_27__00,c_27type_2einfer__t_2einfer__t_27__00),V_27sx_27))) )
=> ( p__01(s__02(cbool__00,c_27const_2eunify_2et__wfs_27__01(s__02(c_27type_2efinite__map_2efmap_27__02(c_27type_2enum_2enum_27__00,c_27type_2einfer__t_2einfer__t_27__00),V_27sx_27))))
& p__01(s__02(cbool__00,c_27const_2efinite__map_2eSUBMAP_27__02(s__02(c_27type_2efinite__map_2efmap_27__02(c_27type_2enum_2enum_27__00,c_27type_2einfer__t_2einfer__t_27__00),V_27s_27),s__02(c_27type_2efinite__map_2efmap_27__02(c_27type_2enum_2enum_27__00,c_27type_2einfer__t_2einfer__t_27__00),V_27sx_27))))
& s__02(c_27type_2einfer__t_2einfer__t_27__00,c_27const_2eunify_2et__walkstar_27__02(s__02(c_27type_2efinite__map_2efmap_27__02(c_27type_2enum_2enum_27__00,c_27type_2einfer__t_2einfer__t_27__00),V_27sx_27),s__02(c_27type_2einfer__t_2einfer__t_27__00,V_27t1_27))) = s__02(c_27type_2einfer__t_2einfer__t_27__00,c_27const_2eunify_2et__walkstar_27__02(s__02(c_27type_2efinite__map_2efmap_27__02(c_27type_2enum_2enum_27__00,c_27type_2einfer__t_2einfer__t_27__00),V_27sx_27),s__02(c_27type_2einfer__t_2einfer__t_27__00,V_27t2_27))) ) ) ).
fof('thm.unify.t_walkstar_SUBMAP',axiom,
! [V_27s1_27,V_27s2_27,V_27t_27] :
( ( p__01(s__02(cbool__00,c_27const_2efinite__map_2eSUBMAP_27__02(s__02(c_27type_2efinite__map_2efmap_27__02(c_27type_2enum_2enum_27__00,c_27type_2einfer__t_2einfer__t_27__00),V_27s1_27),s__02(c_27type_2efinite__map_2efmap_27__02(c_27type_2enum_2enum_27__00,c_27type_2einfer__t_2einfer__t_27__00),V_27s2_27))))
& p__01(s__02(cbool__00,c_27const_2eunify_2et__wfs_27__01(s__02(c_27type_2efinite__map_2efmap_27__02(c_27type_2enum_2enum_27__00,c_27type_2einfer__t_2einfer__t_27__00),V_27s2_27)))) )
=> s__02(c_27type_2einfer__t_2einfer__t_27__00,c_27const_2eunify_2et__walkstar_27__02(s__02(c_27type_2efinite__map_2efmap_27__02(c_27type_2enum_2enum_27__00,c_27type_2einfer__t_2einfer__t_27__00),V_27s2_27),s__02(c_27type_2einfer__t_2einfer__t_27__00,V_27t_27))) = s__02(c_27type_2einfer__t_2einfer__t_27__00,c_27const_2eunify_2et__walkstar_27__02(s__02(c_27type_2efinite__map_2efmap_27__02(c_27type_2enum_2enum_27__00,c_27type_2einfer__t_2einfer__t_27__00),V_27s2_27),s__02(c_27type_2einfer__t_2einfer__t_27__00,c_27const_2eunify_2et__walkstar_27__02(s__02(c_27type_2efinite__map_2efmap_27__02(c_27type_2enum_2enum_27__00,c_27type_2einfer__t_2einfer__t_27__00),V_27s1_27),s__02(c_27type_2einfer__t_2einfer__t_27__00,V_27t_27))))) ) ).
fof('thm.unify.t_unify_wfs',axiom,
! [V_27s1_27,V_27t1_27,V_27t2_27,V_27s2_27] :
( ( p__01(s__02(cbool__00,c_27const_2eunify_2et__wfs_27__01(s__02(c_27type_2efinite__map_2efmap_27__02(c_27type_2enum_2enum_27__00,c_27type_2einfer__t_2einfer__t_27__00),V_27s1_27))))
& s__02(c_27type_2eoption_2eoption_27__01(c_27type_2efinite__map_2efmap_27__02(c_27type_2enum_2enum_27__00,c_27type_2einfer__t_2einfer__t_27__00)),c_27const_2eunify_2et__unify_27__03(s__02(c_27type_2efinite__map_2efmap_27__02(c_27type_2enum_2enum_27__00,c_27type_2einfer__t_2einfer__t_27__00),V_27s1_27),s__02(c_27type_2einfer__t_2einfer__t_27__00,V_27t1_27),s__02(c_27type_2einfer__t_2einfer__t_27__00,V_27t2_27))) = s__02(c_27type_2eoption_2eoption_27__01(c_27type_2efinite__map_2efmap_27__02(c_27type_2enum_2enum_27__00,c_27type_2einfer__t_2einfer__t_27__00)),c_27const_2eoption_2eSOME_27__01(s__02(c_27type_2efinite__map_2efmap_27__02(c_27type_2enum_2enum_27__00,c_27type_2einfer__t_2einfer__t_27__00),V_27s2_27))) )
=> p__01(s__02(cbool__00,c_27const_2eunify_2et__wfs_27__01(s__02(c_27type_2efinite__map_2efmap_27__02(c_27type_2enum_2enum_27__00,c_27type_2einfer__t_2einfer__t_27__00),V_27s2_27)))) ) ).
fof('thm.unify.t_compat_def',axiom,
! [V_27s_27,V_27s_7c39_7c_27] :
( p__01(s__02(cbool__00,c_27const_2eunify_2et__compat_27__02(s__02(c_27type_2efinite__map_2efmap_27__02(c_27type_2enum_2enum_27__00,c_27type_2einfer__t_2einfer__t_27__00),V_27s_27),s__02(c_27type_2efinite__map_2efmap_27__02(c_27type_2enum_2enum_27__00,c_27type_2einfer__t_2einfer__t_27__00),V_27s_7c39_7c_27))))
<=> ( p__01(s__02(cbool__00,c_27const_2eunify_2et__wfs_27__01(s__02(c_27type_2efinite__map_2efmap_27__02(c_27type_2enum_2enum_27__00,c_27type_2einfer__t_2einfer__t_27__00),V_27s_27))))
& p__01(s__02(cbool__00,c_27const_2eunify_2et__wfs_27__01(s__02(c_27type_2efinite__map_2efmap_27__02(c_27type_2enum_2enum_27__00,c_27type_2einfer__t_2einfer__t_27__00),V_27s_7c39_7c_27))))
& ! [V_27t_27] : s__02(c_27type_2einfer__t_2einfer__t_27__00,c_27const_2eunify_2et__walkstar_27__02(s__02(c_27type_2efinite__map_2efmap_27__02(c_27type_2enum_2enum_27__00,c_27type_2einfer__t_2einfer__t_27__00),V_27s_7c39_7c_27),s__02(c_27type_2einfer__t_2einfer__t_27__00,c_27const_2eunify_2et__walkstar_27__02(s__02(c_27type_2efinite__map_2efmap_27__02(c_27type_2enum_2enum_27__00,c_27type_2einfer__t_2einfer__t_27__00),V_27s_27),s__02(c_27type_2einfer__t_2einfer__t_27__00,V_27t_27))))) = s__02(c_27type_2einfer__t_2einfer__t_27__00,c_27const_2eunify_2et__walkstar_27__02(s__02(c_27type_2efinite__map_2efmap_27__02(c_27type_2enum_2enum_27__00,c_27type_2einfer__t_2einfer__t_27__00),V_27s_7c39_7c_27),s__02(c_27type_2einfer__t_2einfer__t_27__00,V_27t_27))) ) ) ).
fof('thm.infer.pure_add_constraints_def',axiom,
( ! [V_27s_7c39_7c_27,V_27s_27] :
( p__01(s__02(cbool__00,c_27const_2einfer_2epure__add__constraints_27__03(s__02(c_27type_2efinite__map_2efmap_27__02(c_27type_2enum_2enum_27__00,c_27type_2einfer__t_2einfer__t_27__00),V_27s_27),s__02(c_27type_2elist_2elist_27__01(c_27type_2epair_2eprod_27__02(c_27type_2einfer__t_2einfer__t_27__00,c_27type_2einfer__t_2einfer__t_27__00)),c_27const_2elist_2eNIL_27__00),s__02(c_27type_2efinite__map_2efmap_27__02(c_27type_2enum_2enum_27__00,c_27type_2einfer__t_2einfer__t_27__00),V_27s_7c39_7c_27))))
<=> s__02(c_27type_2efinite__map_2efmap_27__02(c_27type_2enum_2enum_27__00,c_27type_2einfer__t_2einfer__t_27__00),V_27s_27) = s__02(c_27type_2efinite__map_2efmap_27__02(c_27type_2enum_2enum_27__00,c_27type_2einfer__t_2einfer__t_27__00),V_27s_7c39_7c_27) )
& ! [V_27t2_27,V_27t1_27,V_27s1_27,V_27s_7c39_7c_27,V_27rest_27] :
( p__01(s__02(cbool__00,c_27const_2einfer_2epure__add__constraints_27__03(s__02(c_27type_2efinite__map_2efmap_27__02(c_27type_2enum_2enum_27__00,c_27type_2einfer__t_2einfer__t_27__00),V_27s1_27),s__02(c_27type_2elist_2elist_27__01(c_27type_2epair_2eprod_27__02(c_27type_2einfer__t_2einfer__t_27__00,c_27type_2einfer__t_2einfer__t_27__00)),c_27const_2elist_2eCONS_27__02(s__02(c_27type_2epair_2eprod_27__02(c_27type_2einfer__t_2einfer__t_27__00,c_27type_2einfer__t_2einfer__t_27__00),c_27const_2epair_2e_2c_27__02(s__02(c_27type_2einfer__t_2einfer__t_27__00,V_27t1_27),s__02(c_27type_2einfer__t_2einfer__t_27__00,V_27t2_27))),s__02(c_27type_2elist_2elist_27__01(c_27type_2epair_2eprod_27__02(c_27type_2einfer__t_2einfer__t_27__00,c_27type_2einfer__t_2einfer__t_27__00)),V_27rest_27))),s__02(c_27type_2efinite__map_2efmap_27__02(c_27type_2enum_2enum_27__00,c_27type_2einfer__t_2einfer__t_27__00),V_27s_7c39_7c_27))))
<=> ? [V_27s2_27] :
( s__02(c_27type_2eoption_2eoption_27__01(c_27type_2efinite__map_2efmap_27__02(c_27type_2enum_2enum_27__00,c_27type_2einfer__t_2einfer__t_27__00)),c_27const_2eunify_2et__unify_27__03(s__02(c_27type_2efinite__map_2efmap_27__02(c_27type_2enum_2enum_27__00,c_27type_2einfer__t_2einfer__t_27__00),V_27s1_27),s__02(c_27type_2einfer__t_2einfer__t_27__00,V_27t1_27),s__02(c_27type_2einfer__t_2einfer__t_27__00,V_27t2_27))) = s__02(c_27type_2eoption_2eoption_27__01(c_27type_2efinite__map_2efmap_27__02(c_27type_2enum_2enum_27__00,c_27type_2einfer__t_2einfer__t_27__00)),c_27const_2eoption_2eSOME_27__01(s__02(c_27type_2efinite__map_2efmap_27__02(c_27type_2enum_2enum_27__00,c_27type_2einfer__t_2einfer__t_27__00),V_27s2_27)))
& p__01(s__02(cbool__00,c_27const_2einfer_2epure__add__constraints_27__03(s__02(c_27type_2efinite__map_2efmap_27__02(c_27type_2enum_2enum_27__00,c_27type_2einfer__t_2einfer__t_27__00),V_27s2_27),s__02(c_27type_2elist_2elist_27__01(c_27type_2epair_2eprod_27__02(c_27type_2einfer__t_2einfer__t_27__00,c_27type_2einfer__t_2einfer__t_27__00)),V_27rest_27),s__02(c_27type_2efinite__map_2efmap_27__02(c_27type_2enum_2enum_27__00,c_27type_2einfer__t_2einfer__t_27__00),V_27s_7c39_7c_27)))) ) ) ) ).
fof('thm.infer_eComplete.pure_add_constraints_success',axiom,
! [V_27s_27,V_27constraints_27,V_27s_7c39_7c_27] :
( ( p__01(s__02(cbool__00,c_27const_2eunify_2et__wfs_27__01(s__02(c_27type_2efinite__map_2efmap_27__02(c_27type_2enum_2enum_27__00,c_27type_2einfer__t_2einfer__t_27__00),V_27s_27))))
& p__01(s__02(cbool__00,c_27const_2einfer_2epure__add__constraints_27__03(s__02(c_27type_2efinite__map_2efmap_27__02(c_27type_2enum_2enum_27__00,c_27type_2einfer__t_2einfer__t_27__00),V_27s_27),s__02(c_27type_2elist_2elist_27__01(c_27type_2epair_2eprod_27__02(c_27type_2einfer__t_2einfer__t_27__00,c_27type_2einfer__t_2einfer__t_27__00)),V_27constraints_27),s__02(c_27type_2efinite__map_2efmap_27__02(c_27type_2enum_2enum_27__00,c_27type_2einfer__t_2einfer__t_27__00),V_27s_7c39_7c_27)))) )
=> ( p__01(s__02(cbool__00,c_27const_2efinite__map_2eSUBMAP_27__02(s__02(c_27type_2efinite__map_2efmap_27__02(c_27type_2enum_2enum_27__00,c_27type_2einfer__t_2einfer__t_27__00),V_27s_27),s__02(c_27type_2efinite__map_2efmap_27__02(c_27type_2enum_2enum_27__00,c_27type_2einfer__t_2einfer__t_27__00),V_27s_7c39_7c_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_2einfer__t_2einfer__t_27__00),V_27s_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_2einfer__t_2einfer__t_27__00),V_27s_7c39_7c_27))))))
& p__01(s__02(cbool__00,c_27const_2eunify_2et__compat_27__02(s__02(c_27type_2efinite__map_2efmap_27__02(c_27type_2enum_2enum_27__00,c_27type_2einfer__t_2einfer__t_27__00),V_27s_27),s__02(c_27type_2efinite__map_2efmap_27__02(c_27type_2enum_2enum_27__00,c_27type_2einfer__t_2einfer__t_27__00),V_27s_7c39_7c_27))))
& p__01(s__02(cbool__00,c_27const_2eunify_2et__wfs_27__01(s__02(c_27type_2efinite__map_2efmap_27__02(c_27type_2enum_2enum_27__00,c_27type_2einfer__t_2einfer__t_27__00),V_27s_7c39_7c_27)))) ) ) ).
fof(conjecture,conjecture,
! [V__1] :
( ! [V_27x_27,V_27sx_27,V_27y_27] :
( p__01(s__02(cbool__00,chapp__02(s__02(cfun__02(c_27type_2einfer__t_2einfer__t_27__00,cbool__00),chapp__02(s__02(cfun__02(c_27type_2efinite__map_2efmap_27__02(c_27type_2enum_2enum_27__00,c_27type_2einfer__t_2einfer__t_27__00),cfun__02(c_27type_2einfer__t_2einfer__t_27__00,cbool__00)),chapp__02(s__02(cfun__02(c_27type_2einfer__t_2einfer__t_27__00,cfun__02(c_27type_2efinite__map_2efmap_27__02(c_27type_2enum_2enum_27__00,c_27type_2einfer__t_2einfer__t_27__00),cfun__02(c_27type_2einfer__t_2einfer__t_27__00,cbool__00))),V__1),s__02(c_27type_2einfer__t_2einfer__t_27__00,V_27x_27))),s__02(c_27type_2efinite__map_2efmap_27__02(c_27type_2enum_2enum_27__00,c_27type_2einfer__t_2einfer__t_27__00),V_27sx_27))),s__02(c_27type_2einfer__t_2einfer__t_27__00,V_27y_27))))
<=> s__02(c_27type_2einfer__t_2einfer__t_27__00,c_27const_2eunify_2et__walkstar_27__02(s__02(c_27type_2efinite__map_2efmap_27__02(c_27type_2enum_2enum_27__00,c_27type_2einfer__t_2einfer__t_27__00),V_27sx_27),s__02(c_27type_2einfer__t_2einfer__t_27__00,V_27x_27))) = s__02(c_27type_2einfer__t_2einfer__t_27__00,c_27const_2eunify_2et__walkstar_27__02(s__02(c_27type_2efinite__map_2efmap_27__02(c_27type_2enum_2enum_27__00,c_27type_2einfer__t_2einfer__t_27__00),V_27sx_27),s__02(c_27type_2einfer__t_2einfer__t_27__00,V_27y_27))) )
=> ! [V__0] :
( ! [V_27sx_27,V_27x_27] : s__02(cfun__02(c_27type_2einfer__t_2einfer__t_27__00,cbool__00),chapp__02(s__02(cfun__02(c_27type_2einfer__t_2einfer__t_27__00,cfun__02(c_27type_2einfer__t_2einfer__t_27__00,cbool__00)),chapp__02(s__02(cfun__02(c_27type_2efinite__map_2efmap_27__02(c_27type_2enum_2enum_27__00,c_27type_2einfer__t_2einfer__t_27__00),cfun__02(c_27type_2einfer__t_2einfer__t_27__00,cfun__02(c_27type_2einfer__t_2einfer__t_27__00,cbool__00))),V__0),s__02(c_27type_2efinite__map_2efmap_27__02(c_27type_2enum_2enum_27__00,c_27type_2einfer__t_2einfer__t_27__00),V_27sx_27))),s__02(c_27type_2einfer__t_2einfer__t_27__00,V_27x_27))) = s__02(cfun__02(c_27type_2einfer__t_2einfer__t_27__00,cbool__00),chapp__02(s__02(cfun__02(c_27type_2efinite__map_2efmap_27__02(c_27type_2enum_2enum_27__00,c_27type_2einfer__t_2einfer__t_27__00),cfun__02(c_27type_2einfer__t_2einfer__t_27__00,cbool__00)),chapp__02(s__02(cfun__02(c_27type_2einfer__t_2einfer__t_27__00,cfun__02(c_27type_2efinite__map_2efmap_27__02(c_27type_2enum_2enum_27__00,c_27type_2einfer__t_2einfer__t_27__00),cfun__02(c_27type_2einfer__t_2einfer__t_27__00,cbool__00))),V__1),s__02(c_27type_2einfer__t_2einfer__t_27__00,V_27x_27))),s__02(c_27type_2efinite__map_2efmap_27__02(c_27type_2enum_2enum_27__00,c_27type_2einfer__t_2einfer__t_27__00),V_27sx_27)))
=> ! [V_27ls_27,V_27s_27,V_27sx_27] :
( ( p__01(s__02(cbool__00,c_27const_2eunify_2et__wfs_27__01(s__02(c_27type_2efinite__map_2efmap_27__02(c_27type_2enum_2enum_27__00,c_27type_2einfer__t_2einfer__t_27__00),V_27s_27))))
& p__01(s__02(cbool__00,c_27const_2einfer_2epure__add__constraints_27__03(s__02(c_27type_2efinite__map_2efmap_27__02(c_27type_2enum_2enum_27__00,c_27type_2einfer__t_2einfer__t_27__00),V_27s_27),s__02(c_27type_2elist_2elist_27__01(c_27type_2epair_2eprod_27__02(c_27type_2einfer__t_2einfer__t_27__00,c_27type_2einfer__t_2einfer__t_27__00)),V_27ls_27),s__02(c_27type_2efinite__map_2efmap_27__02(c_27type_2enum_2enum_27__00,c_27type_2einfer__t_2einfer__t_27__00),V_27sx_27)))) )
=> p__01(s__02(cbool__00,c_27const_2elist_2eEVERY_27__02(s__02(cfun__02(c_27type_2epair_2eprod_27__02(c_27type_2einfer__t_2einfer__t_27__00,c_27type_2einfer__t_2einfer__t_27__00),cbool__00),c_27const_2epair_2eUNCURRY_27__01(s__02(cfun__02(c_27type_2einfer__t_2einfer__t_27__00,cfun__02(c_27type_2einfer__t_2einfer__t_27__00,cbool__00)),chapp__02(s__02(cfun__02(c_27type_2efinite__map_2efmap_27__02(c_27type_2enum_2enum_27__00,c_27type_2einfer__t_2einfer__t_27__00),cfun__02(c_27type_2einfer__t_2einfer__t_27__00,cfun__02(c_27type_2einfer__t_2einfer__t_27__00,cbool__00))),V__0),s__02(c_27type_2efinite__map_2efmap_27__02(c_27type_2enum_2enum_27__00,c_27type_2einfer__t_2einfer__t_27__00),V_27sx_27))))),s__02(c_27type_2elist_2elist_27__01(c_27type_2epair_2eprod_27__02(c_27type_2einfer__t_2einfer__t_27__00,c_27type_2einfer__t_2einfer__t_27__00)),V_27ls_27)))) ) ) ) ).
%------------------------------------------------------------------------------