TPTP Problem File: SWW941+1.p
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%------------------------------------------------------------------------------
% File : SWW941+1 : TPTP v8.2.0. Released v7.3.0.
% Domain : Software Verification
% Problem : MapProg__1__tactictoe_prove_0__dep
% Version : Especial.
% English :
% Refs : [Kum18] Kumar (2018), Email to Geoff Sutcliffe
% Source : [Kum18]
% Names : MapProg__1__tactictoe_prove_0__dep [Kum18]
% Status : Theorem
% Rating : 1.00 v7.3.0
% Syntax : Number of formulae : 30 ( 5 unt; 0 def)
% Number of atoms : 142 ( 31 equ)
% Maximal formula atoms : 15 ( 4 avg)
% Number of connectives : 124 ( 12 ~; 15 |; 34 &)
% ( 35 <=>; 28 =>; 0 <=; 0 <~>)
% Maximal formula depth : 20 ( 7 avg)
% Maximal term depth : 9 ( 2 avg)
% Number of predicates : 2 ( 1 usr; 0 prp; 1-2 aty)
% Number of functors : 11 ( 11 usr; 5 con; 0-5 aty)
% Number of variables : 116 ( 100 !; 16 ?)
% SPC : FOF_THM_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.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.EXISTS_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.F_IMP',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,cF__00)) ) ) ).
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.OR_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,cT__00)) )
& ( ( 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,V_27t_27)) )
& ( ( 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,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.DISJ_ASSOC',axiom,
! [V_27A_270,V_27B_270,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_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_27C_27)) ) ) ).
fof('thm.bool.DISJ_COMM',axiom,
! [V_27A_270,V_27B_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,V_27B_270))
| p__01(s__02(cbool__00,V_27A_270)) ) ) ).
fof('thm.bool.IMP_DISJ_THM',axiom,
! [V_27A_270,V_27B_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,V_27A_270))
| p__01(s__02(cbool__00,V_27B_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.bool.EXISTS_REFL',axiom,
! [V_27A_27,V_27a_27] :
? [V_27x_27] : s__02(V_27A_27,V_27x_27) = s__02(V_27A_27,V_27a_27) ).
fof('thm.bool.UNWIND_THM2',axiom,
! [V_27A_27,V_27P_27,V_27a_27] :
( ? [V_27x_27] :
( s__02(V_27A_27,V_27x_27) = s__02(V_27A_27,V_27a_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,V_27a_27)))) ) ).
fof('thm.bool.UNWIND_FORALL_THM2',axiom,
! [V_27A_27,V_27f_27,V_27v_27] :
( ! [V_27x_27] :
( s__02(V_27A_27,V_27x_27) = s__02(V_27A_27,V_27v_27)
=> p__01(s__02(cbool__00,chapp__02(s__02(cfun__02(V_27A_27,cbool__00),V_27f_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_27f_27),s__02(V_27A_27,V_27v_27)))) ) ).
fof('thm.balanced_map.balanced_map_11',axiom,
! [V_27K_27,V_27V_27,V_27a0_27,V_27a1_27,V_27a2_27,V_27a3_27,V_27a4_27,V_27a0_7c39_7c_27,V_27a1_7c39_7c_27,V_27a2_7c39_7c_27,V_27a3_7c39_7c_27,V_27a4_7c39_7c_27] :
( s__02(c_27type_2ebalanced__map_2ebalanced__map_27__02(V_27K_27,V_27V_27),c_27const_2ebalanced__map_2eBin_27__05(s__02(c_27type_2enum_2enum_27__00,V_27a0_27),s__02(V_27K_27,V_27a1_27),s__02(V_27V_27,V_27a2_27),s__02(c_27type_2ebalanced__map_2ebalanced__map_27__02(V_27K_27,V_27V_27),V_27a3_27),s__02(c_27type_2ebalanced__map_2ebalanced__map_27__02(V_27K_27,V_27V_27),V_27a4_27))) = s__02(c_27type_2ebalanced__map_2ebalanced__map_27__02(V_27K_27,V_27V_27),c_27const_2ebalanced__map_2eBin_27__05(s__02(c_27type_2enum_2enum_27__00,V_27a0_7c39_7c_27),s__02(V_27K_27,V_27a1_7c39_7c_27),s__02(V_27V_27,V_27a2_7c39_7c_27),s__02(c_27type_2ebalanced__map_2ebalanced__map_27__02(V_27K_27,V_27V_27),V_27a3_7c39_7c_27),s__02(c_27type_2ebalanced__map_2ebalanced__map_27__02(V_27K_27,V_27V_27),V_27a4_7c39_7c_27)))
<=> ( s__02(c_27type_2enum_2enum_27__00,V_27a0_27) = s__02(c_27type_2enum_2enum_27__00,V_27a0_7c39_7c_27)
& s__02(V_27K_27,V_27a1_27) = s__02(V_27K_27,V_27a1_7c39_7c_27)
& s__02(V_27V_27,V_27a2_27) = s__02(V_27V_27,V_27a2_7c39_7c_27)
& s__02(c_27type_2ebalanced__map_2ebalanced__map_27__02(V_27K_27,V_27V_27),V_27a3_27) = s__02(c_27type_2ebalanced__map_2ebalanced__map_27__02(V_27K_27,V_27V_27),V_27a3_7c39_7c_27)
& s__02(c_27type_2ebalanced__map_2ebalanced__map_27__02(V_27K_27,V_27V_27),V_27a4_27) = s__02(c_27type_2ebalanced__map_2ebalanced__map_27__02(V_27K_27,V_27V_27),V_27a4_7c39_7c_27) ) ) ).
fof('thm.balanced_map.balanced_map_distinct',axiom,
! [V_27K_27,V_27V_27,V_27a4_27,V_27a3_27,V_27a2_27,V_27a1_27,V_27a0_27] : s__02(c_27type_2ebalanced__map_2ebalanced__map_27__02(V_27K_27,V_27V_27),c_27const_2ebalanced__map_2eTip_27__00) != s__02(c_27type_2ebalanced__map_2ebalanced__map_27__02(V_27K_27,V_27V_27),c_27const_2ebalanced__map_2eBin_27__05(s__02(c_27type_2enum_2enum_27__00,V_27a0_27),s__02(V_27K_27,V_27a1_27),s__02(V_27V_27,V_27a2_27),s__02(c_27type_2ebalanced__map_2ebalanced__map_27__02(V_27K_27,V_27V_27),V_27a3_27),s__02(c_27type_2ebalanced__map_2ebalanced__map_27__02(V_27K_27,V_27V_27),V_27a4_27))) ).
fof('thm.balanced_map.deleteFindMax_ind',axiom,
! [V_27A_27,V_27B_27,V_27P_27] :
( ( ! [V_27s_27,V_27k_27,V_27x_27,V_27l_27] : p__01(s__02(cbool__00,chapp__02(s__02(cfun__02(c_27type_2ebalanced__map_2ebalanced__map_27__02(V_27A_27,V_27B_27),cbool__00),V_27P_27),s__02(c_27type_2ebalanced__map_2ebalanced__map_27__02(V_27A_27,V_27B_27),c_27const_2ebalanced__map_2eBin_27__05(s__02(c_27type_2enum_2enum_27__00,V_27s_27),s__02(V_27A_27,V_27k_27),s__02(V_27B_27,V_27x_27),s__02(c_27type_2ebalanced__map_2ebalanced__map_27__02(V_27A_27,V_27B_27),V_27l_27),s__02(c_27type_2ebalanced__map_2ebalanced__map_27__02(V_27A_27,V_27B_27),c_27const_2ebalanced__map_2eTip_27__00))))))
& ! [V_27s_27,V_27k_27,V_27x_27,V_27l_27,V_27v5_27,V_27v6_27,V_27v7_27,V_27v8_27,V_27v9_27] :
( p__01(s__02(cbool__00,chapp__02(s__02(cfun__02(c_27type_2ebalanced__map_2ebalanced__map_27__02(V_27A_27,V_27B_27),cbool__00),V_27P_27),s__02(c_27type_2ebalanced__map_2ebalanced__map_27__02(V_27A_27,V_27B_27),c_27const_2ebalanced__map_2eBin_27__05(s__02(c_27type_2enum_2enum_27__00,V_27v5_27),s__02(V_27A_27,V_27v6_27),s__02(V_27B_27,V_27v7_27),s__02(c_27type_2ebalanced__map_2ebalanced__map_27__02(V_27A_27,V_27B_27),V_27v8_27),s__02(c_27type_2ebalanced__map_2ebalanced__map_27__02(V_27A_27,V_27B_27),V_27v9_27))))))
=> p__01(s__02(cbool__00,chapp__02(s__02(cfun__02(c_27type_2ebalanced__map_2ebalanced__map_27__02(V_27A_27,V_27B_27),cbool__00),V_27P_27),s__02(c_27type_2ebalanced__map_2ebalanced__map_27__02(V_27A_27,V_27B_27),c_27const_2ebalanced__map_2eBin_27__05(s__02(c_27type_2enum_2enum_27__00,V_27s_27),s__02(V_27A_27,V_27k_27),s__02(V_27B_27,V_27x_27),s__02(c_27type_2ebalanced__map_2ebalanced__map_27__02(V_27A_27,V_27B_27),V_27l_27),s__02(c_27type_2ebalanced__map_2ebalanced__map_27__02(V_27A_27,V_27B_27),c_27const_2ebalanced__map_2eBin_27__05(s__02(c_27type_2enum_2enum_27__00,V_27v5_27),s__02(V_27A_27,V_27v6_27),s__02(V_27B_27,V_27v7_27),s__02(c_27type_2ebalanced__map_2ebalanced__map_27__02(V_27A_27,V_27B_27),V_27v8_27),s__02(c_27type_2ebalanced__map_2ebalanced__map_27__02(V_27A_27,V_27B_27),V_27v9_27)))))))) )
& p__01(s__02(cbool__00,chapp__02(s__02(cfun__02(c_27type_2ebalanced__map_2ebalanced__map_27__02(V_27A_27,V_27B_27),cbool__00),V_27P_27),s__02(c_27type_2ebalanced__map_2ebalanced__map_27__02(V_27A_27,V_27B_27),c_27const_2ebalanced__map_2eTip_27__00)))) )
=> ! [V_27v_27] : p__01(s__02(cbool__00,chapp__02(s__02(cfun__02(c_27type_2ebalanced__map_2ebalanced__map_27__02(V_27A_27,V_27B_27),cbool__00),V_27P_27),s__02(c_27type_2ebalanced__map_2ebalanced__map_27__02(V_27A_27,V_27B_27),V_27v_27)))) ) ).
fof('thm.MapProg.deletefindmax_side_def',axiom,
! [V_27A_27,V_27B_27,V_27a0_27] :
( p__01(s__02(cbool__00,c_27const_2eMapProg_2edeletefindmax__side_27__01(s__02(c_27type_2ebalanced__map_2ebalanced__map_27__02(V_27A_27,V_27B_27),V_27a0_27))))
<=> ( ( ? [V_27x3_27,V_27x2_27,V_27x_7c39_7c_27,V_27x1_27] : s__02(c_27type_2ebalanced__map_2ebalanced__map_27__02(V_27A_27,V_27B_27),V_27a0_27) = s__02(c_27type_2ebalanced__map_2ebalanced__map_27__02(V_27A_27,V_27B_27),c_27const_2ebalanced__map_2eBin_27__05(s__02(c_27type_2enum_2enum_27__00,V_27x3_27),s__02(V_27A_27,V_27x2_27),s__02(V_27B_27,V_27x_7c39_7c_27),s__02(c_27type_2ebalanced__map_2ebalanced__map_27__02(V_27A_27,V_27B_27),V_27x1_27),s__02(c_27type_2ebalanced__map_2ebalanced__map_27__02(V_27A_27,V_27B_27),c_27const_2ebalanced__map_2eTip_27__00)))
| ? [V_27x11_27,V_27x10_27,V_27x_7c39_7c_27,V_27x9_27,V_27x8_27,V_27x7_27,V_27x6_27,V_27x5_27,V_27x4_27] : s__02(c_27type_2ebalanced__map_2ebalanced__map_27__02(V_27A_27,V_27B_27),V_27a0_27) = s__02(c_27type_2ebalanced__map_2ebalanced__map_27__02(V_27A_27,V_27B_27),c_27const_2ebalanced__map_2eBin_27__05(s__02(c_27type_2enum_2enum_27__00,V_27x11_27),s__02(V_27A_27,V_27x10_27),s__02(V_27B_27,V_27x_7c39_7c_27),s__02(c_27type_2ebalanced__map_2ebalanced__map_27__02(V_27A_27,V_27B_27),V_27x9_27),s__02(c_27type_2ebalanced__map_2ebalanced__map_27__02(V_27A_27,V_27B_27),c_27const_2ebalanced__map_2eBin_27__05(s__02(c_27type_2enum_2enum_27__00,V_27x8_27),s__02(V_27A_27,V_27x7_27),s__02(V_27B_27,V_27x6_27),s__02(c_27type_2ebalanced__map_2ebalanced__map_27__02(V_27A_27,V_27B_27),V_27x5_27),s__02(c_27type_2ebalanced__map_2ebalanced__map_27__02(V_27A_27,V_27B_27),V_27x4_27)))))
| s__02(c_27type_2ebalanced__map_2ebalanced__map_27__02(V_27A_27,V_27B_27),V_27a0_27) = s__02(c_27type_2ebalanced__map_2ebalanced__map_27__02(V_27A_27,V_27B_27),c_27const_2ebalanced__map_2eTip_27__00) )
& ! [V_27x21_27,V_27x20_27,V_27x19_27,V_27x18_27,V_27x17_27] :
( ( s__02(c_27type_2ebalanced__map_2ebalanced__map_27__02(V_27A_27,V_27B_27),V_27a0_27) = s__02(c_27type_2ebalanced__map_2ebalanced__map_27__02(V_27A_27,V_27B_27),c_27const_2ebalanced__map_2eTip_27__00)
=> p__01(s__02(cbool__00,cF__00)) )
& ( s__02(c_27type_2ebalanced__map_2ebalanced__map_27__02(V_27A_27,V_27B_27),V_27a0_27) = s__02(c_27type_2ebalanced__map_2ebalanced__map_27__02(V_27A_27,V_27B_27),c_27const_2ebalanced__map_2eBin_27__05(s__02(c_27type_2enum_2enum_27__00,V_27x21_27),s__02(V_27A_27,V_27x20_27),s__02(V_27B_27,V_27x19_27),s__02(c_27type_2ebalanced__map_2ebalanced__map_27__02(V_27A_27,V_27B_27),V_27x18_27),s__02(c_27type_2ebalanced__map_2ebalanced__map_27__02(V_27A_27,V_27B_27),V_27x17_27)))
=> ! [V_27x16_27,V_27x15_27,V_27x14_27,V_27x13_27,V_27x12_27] :
( s__02(c_27type_2ebalanced__map_2ebalanced__map_27__02(V_27A_27,V_27B_27),V_27x17_27) = s__02(c_27type_2ebalanced__map_2ebalanced__map_27__02(V_27A_27,V_27B_27),c_27const_2ebalanced__map_2eBin_27__05(s__02(c_27type_2enum_2enum_27__00,V_27x16_27),s__02(V_27A_27,V_27x15_27),s__02(V_27B_27,V_27x14_27),s__02(c_27type_2ebalanced__map_2ebalanced__map_27__02(V_27A_27,V_27B_27),V_27x13_27),s__02(c_27type_2ebalanced__map_2ebalanced__map_27__02(V_27A_27,V_27B_27),V_27x12_27)))
=> ( p__01(s__02(cbool__00,cT__00))
& p__01(s__02(cbool__00,c_27const_2eMapProg_2edeletefindmax__side_27__01(s__02(c_27type_2ebalanced__map_2ebalanced__map_27__02(V_27A_27,V_27B_27),c_27const_2ebalanced__map_2eBin_27__05(s__02(c_27type_2enum_2enum_27__00,V_27x16_27),s__02(V_27A_27,V_27x15_27),s__02(V_27B_27,V_27x14_27),s__02(c_27type_2ebalanced__map_2ebalanced__map_27__02(V_27A_27,V_27B_27),V_27x13_27),s__02(c_27type_2ebalanced__map_2ebalanced__map_27__02(V_27A_27,V_27B_27),V_27x12_27)))))) ) ) ) ) ) ) ).
fof(conjecture,conjecture,
! [V_27A_27,V_27B_27,V_27m_27] :
( s__02(c_27type_2ebalanced__map_2ebalanced__map_27__02(V_27A_27,V_27B_27),V_27m_27) != s__02(c_27type_2ebalanced__map_2ebalanced__map_27__02(V_27A_27,V_27B_27),c_27const_2ebalanced__map_2eTip_27__00)
=> p__01(s__02(cbool__00,c_27const_2eMapProg_2edeletefindmax__side_27__01(s__02(c_27type_2ebalanced__map_2ebalanced__map_27__02(V_27A_27,V_27B_27),V_27m_27)))) ) ).
%------------------------------------------------------------------------------