TPTP Problem File: SWW912+1.p
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%------------------------------------------------------------------------------
% File : SWW912+1 : TPTP v8.2.0. Released v7.3.0.
% Domain : Software Verification
% Problem : word_bignumProof__16__word_list_APPEND__dep
% Version : Especial.
% English :
% Refs : [Kum18] Kumar (2018), Email to Geoff Sutcliffe
% Source : [Kum18]
% Names : word_bignumProof__16__word_list_APPEND__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 : 24 ( 12 unt; 0 def)
% Number of atoms : 74 ( 57 equ)
% Maximal formula atoms : 34 ( 3 avg)
% Number of connectives : 51 ( 1 ~; 2 |; 32 &)
% ( 6 <=>; 10 =>; 0 <=; 0 <~>)
% Maximal formula depth : 48 ( 6 avg)
% Maximal term depth : 15 ( 2 avg)
% Number of predicates : 2 ( 1 usr; 0 prp; 1-2 aty)
% Number of functors : 33 ( 33 usr; 10 con; 0-2 aty)
% Number of variables : 113 ( 110 !; 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.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.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.arithmetic.ADD1',axiom,
! [V_27m_27] : s__02(c_27type_2enum_2enum_27__00,c_27const_2enum_2eSUC_27__01(s__02(c_27type_2enum_2enum_27__00,V_27m_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_27m_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))))))) ).
fof('thm.list.APPEND',axiom,
! [V_27A_27] :
( ! [V_27l_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),c_27const_2elist_2eNIL_27__00),s__02(c_27type_2elist_2elist_27__01(V_27A_27),V_27l_27))) = s__02(c_27type_2elist_2elist_27__01(V_27A_27),V_27l_27)
& ! [V_27l1_27,V_27l2_27,V_27h_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),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_27l1_27))),s__02(c_27type_2elist_2elist_27__01(V_27A_27),V_27l2_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),c_27const_2elist_2eAPPEND_27__02(s__02(c_27type_2elist_2elist_27__01(V_27A_27),V_27l1_27),s__02(c_27type_2elist_2elist_27__01(V_27A_27),V_27l2_27))))) ) ).
fof('thm.list.LENGTH',axiom,
! [V_27A_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),c_27const_2elist_2eNIL_27__00))) = s__02(c_27type_2enum_2enum_27__00,c_27const_2enum_2e0_27__00)
& ! [V_27h_27,V_27t_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),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))))) = s__02(c_27type_2enum_2enum_27__00,c_27const_2enum_2eSUC_27__01(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_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.words.word_add_n2w',axiom,
! [V_27A_27,V_27m_27,V_27n_27] : s__02(c_27type_2efcp_2ecart_27__02(cbool__00,V_27A_27),c_27const_2ewords_2eword__add_27__02(s__02(c_27type_2efcp_2ecart_27__02(cbool__00,V_27A_27),c_27const_2ewords_2en2w_27__01(s__02(c_27type_2enum_2enum_27__00,V_27m_27))),s__02(c_27type_2efcp_2ecart_27__02(cbool__00,V_27A_27),c_27const_2ewords_2en2w_27__01(s__02(c_27type_2enum_2enum_27__00,V_27n_27))))) = s__02(c_27type_2efcp_2ecart_27__02(cbool__00,V_27A_27),c_27const_2ewords_2en2w_27__01(s__02(c_27type_2enum_2enum_27__00,c_27const_2earithmetic_2e_2b_27__02(s__02(c_27type_2enum_2enum_27__00,V_27m_27),s__02(c_27type_2enum_2enum_27__00,V_27n_27))))) ).
fof('thm.words.WORD_ADD_0',axiom,
! [V_27A_27] :
( ! [V_27w_27] : s__02(c_27type_2efcp_2ecart_27__02(cbool__00,V_27A_27),c_27const_2ewords_2eword__add_27__02(s__02(c_27type_2efcp_2ecart_27__02(cbool__00,V_27A_27),V_27w_27),s__02(c_27type_2efcp_2ecart_27__02(cbool__00,V_27A_27),c_27const_2ewords_2en2w_27__01(s__02(c_27type_2enum_2enum_27__00,c_27const_2enum_2e0_27__00))))) = s__02(c_27type_2efcp_2ecart_27__02(cbool__00,V_27A_27),V_27w_27)
& ! [V_27w_27] : s__02(c_27type_2efcp_2ecart_27__02(cbool__00,V_27A_27),c_27const_2ewords_2eword__add_27__02(s__02(c_27type_2efcp_2ecart_27__02(cbool__00,V_27A_27),c_27const_2ewords_2en2w_27__01(s__02(c_27type_2enum_2enum_27__00,c_27const_2enum_2e0_27__00))),s__02(c_27type_2efcp_2ecart_27__02(cbool__00,V_27A_27),V_27w_27))) = s__02(c_27type_2efcp_2ecart_27__02(cbool__00,V_27A_27),V_27w_27) ) ).
fof('thm.words.WORD_ADD_ASSOC',axiom,
! [V_27A_27,V_27v_27,V_27w_27,V_27x_27] : s__02(c_27type_2efcp_2ecart_27__02(cbool__00,V_27A_27),c_27const_2ewords_2eword__add_27__02(s__02(c_27type_2efcp_2ecart_27__02(cbool__00,V_27A_27),V_27v_27),s__02(c_27type_2efcp_2ecart_27__02(cbool__00,V_27A_27),c_27const_2ewords_2eword__add_27__02(s__02(c_27type_2efcp_2ecart_27__02(cbool__00,V_27A_27),V_27w_27),s__02(c_27type_2efcp_2ecart_27__02(cbool__00,V_27A_27),V_27x_27))))) = s__02(c_27type_2efcp_2ecart_27__02(cbool__00,V_27A_27),c_27const_2ewords_2eword__add_27__02(s__02(c_27type_2efcp_2ecart_27__02(cbool__00,V_27A_27),c_27const_2ewords_2eword__add_27__02(s__02(c_27type_2efcp_2ecart_27__02(cbool__00,V_27A_27),V_27v_27),s__02(c_27type_2efcp_2ecart_27__02(cbool__00,V_27A_27),V_27w_27))),s__02(c_27type_2efcp_2ecart_27__02(cbool__00,V_27A_27),V_27x_27))) ).
fof('thm.words.WORD_ADD_COMM',axiom,
! [V_27A_27,V_27v_27,V_27w_27] : s__02(c_27type_2efcp_2ecart_27__02(cbool__00,V_27A_27),c_27const_2ewords_2eword__add_27__02(s__02(c_27type_2efcp_2ecart_27__02(cbool__00,V_27A_27),V_27v_27),s__02(c_27type_2efcp_2ecart_27__02(cbool__00,V_27A_27),V_27w_27))) = s__02(c_27type_2efcp_2ecart_27__02(cbool__00,V_27A_27),c_27const_2ewords_2eword__add_27__02(s__02(c_27type_2efcp_2ecart_27__02(cbool__00,V_27A_27),V_27w_27),s__02(c_27type_2efcp_2ecart_27__02(cbool__00,V_27A_27),V_27v_27))) ).
fof('thm.words.WORD_MULT_COMM',axiom,
! [V_27A_27,V_27v_27,V_27w_27] : s__02(c_27type_2efcp_2ecart_27__02(cbool__00,V_27A_27),c_27const_2ewords_2eword__mul_27__02(s__02(c_27type_2efcp_2ecart_27__02(cbool__00,V_27A_27),V_27v_27),s__02(c_27type_2efcp_2ecart_27__02(cbool__00,V_27A_27),V_27w_27))) = s__02(c_27type_2efcp_2ecart_27__02(cbool__00,V_27A_27),c_27const_2ewords_2eword__mul_27__02(s__02(c_27type_2efcp_2ecart_27__02(cbool__00,V_27A_27),V_27w_27),s__02(c_27type_2efcp_2ecart_27__02(cbool__00,V_27A_27),V_27v_27))) ).
fof('thm.words.WORD_MULT_CLAUSES',axiom,
! [V_27A_27,V_27v_27,V_27w_27] :
( s__02(c_27type_2efcp_2ecart_27__02(cbool__00,V_27A_27),c_27const_2ewords_2eword__mul_27__02(s__02(c_27type_2efcp_2ecart_27__02(cbool__00,V_27A_27),c_27const_2ewords_2en2w_27__01(s__02(c_27type_2enum_2enum_27__00,c_27const_2enum_2e0_27__00))),s__02(c_27type_2efcp_2ecart_27__02(cbool__00,V_27A_27),V_27v_27))) = s__02(c_27type_2efcp_2ecart_27__02(cbool__00,V_27A_27),c_27const_2ewords_2en2w_27__01(s__02(c_27type_2enum_2enum_27__00,c_27const_2enum_2e0_27__00)))
& s__02(c_27type_2efcp_2ecart_27__02(cbool__00,V_27A_27),c_27const_2ewords_2eword__mul_27__02(s__02(c_27type_2efcp_2ecart_27__02(cbool__00,V_27A_27),V_27v_27),s__02(c_27type_2efcp_2ecart_27__02(cbool__00,V_27A_27),c_27const_2ewords_2en2w_27__01(s__02(c_27type_2enum_2enum_27__00,c_27const_2enum_2e0_27__00))))) = s__02(c_27type_2efcp_2ecart_27__02(cbool__00,V_27A_27),c_27const_2ewords_2en2w_27__01(s__02(c_27type_2enum_2enum_27__00,c_27const_2enum_2e0_27__00)))
& s__02(c_27type_2efcp_2ecart_27__02(cbool__00,V_27A_27),c_27const_2ewords_2eword__mul_27__02(s__02(c_27type_2efcp_2ecart_27__02(cbool__00,V_27A_27),c_27const_2ewords_2en2w_27__01(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_2efcp_2ecart_27__02(cbool__00,V_27A_27),V_27v_27))) = s__02(c_27type_2efcp_2ecart_27__02(cbool__00,V_27A_27),V_27v_27)
& s__02(c_27type_2efcp_2ecart_27__02(cbool__00,V_27A_27),c_27const_2ewords_2eword__mul_27__02(s__02(c_27type_2efcp_2ecart_27__02(cbool__00,V_27A_27),V_27v_27),s__02(c_27type_2efcp_2ecart_27__02(cbool__00,V_27A_27),c_27const_2ewords_2en2w_27__01(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_2efcp_2ecart_27__02(cbool__00,V_27A_27),V_27v_27)
& s__02(c_27type_2efcp_2ecart_27__02(cbool__00,V_27A_27),c_27const_2ewords_2eword__mul_27__02(s__02(c_27type_2efcp_2ecart_27__02(cbool__00,V_27A_27),c_27const_2ewords_2eword__add_27__02(s__02(c_27type_2efcp_2ecart_27__02(cbool__00,V_27A_27),V_27v_27),s__02(c_27type_2efcp_2ecart_27__02(cbool__00,V_27A_27),c_27const_2ewords_2en2w_27__01(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_2efcp_2ecart_27__02(cbool__00,V_27A_27),V_27w_27))) = s__02(c_27type_2efcp_2ecart_27__02(cbool__00,V_27A_27),c_27const_2ewords_2eword__add_27__02(s__02(c_27type_2efcp_2ecart_27__02(cbool__00,V_27A_27),c_27const_2ewords_2eword__mul_27__02(s__02(c_27type_2efcp_2ecart_27__02(cbool__00,V_27A_27),V_27v_27),s__02(c_27type_2efcp_2ecart_27__02(cbool__00,V_27A_27),V_27w_27))),s__02(c_27type_2efcp_2ecart_27__02(cbool__00,V_27A_27),V_27w_27)))
& s__02(c_27type_2efcp_2ecart_27__02(cbool__00,V_27A_27),c_27const_2ewords_2eword__mul_27__02(s__02(c_27type_2efcp_2ecart_27__02(cbool__00,V_27A_27),V_27v_27),s__02(c_27type_2efcp_2ecart_27__02(cbool__00,V_27A_27),c_27const_2ewords_2eword__add_27__02(s__02(c_27type_2efcp_2ecart_27__02(cbool__00,V_27A_27),V_27w_27),s__02(c_27type_2efcp_2ecart_27__02(cbool__00,V_27A_27),c_27const_2ewords_2en2w_27__01(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_2efcp_2ecart_27__02(cbool__00,V_27A_27),c_27const_2ewords_2eword__add_27__02(s__02(c_27type_2efcp_2ecart_27__02(cbool__00,V_27A_27),V_27v_27),s__02(c_27type_2efcp_2ecart_27__02(cbool__00,V_27A_27),c_27const_2ewords_2eword__mul_27__02(s__02(c_27type_2efcp_2ecart_27__02(cbool__00,V_27A_27),V_27v_27),s__02(c_27type_2efcp_2ecart_27__02(cbool__00,V_27A_27),V_27w_27))))) ) ).
fof('thm.words.WORD_LEFT_ADD_DISTRIB',axiom,
! [V_27A_27,V_27v_27,V_27w_27,V_27x_27] : s__02(c_27type_2efcp_2ecart_27__02(cbool__00,V_27A_27),c_27const_2ewords_2eword__mul_27__02(s__02(c_27type_2efcp_2ecart_27__02(cbool__00,V_27A_27),V_27v_27),s__02(c_27type_2efcp_2ecart_27__02(cbool__00,V_27A_27),c_27const_2ewords_2eword__add_27__02(s__02(c_27type_2efcp_2ecart_27__02(cbool__00,V_27A_27),V_27w_27),s__02(c_27type_2efcp_2ecart_27__02(cbool__00,V_27A_27),V_27x_27))))) = s__02(c_27type_2efcp_2ecart_27__02(cbool__00,V_27A_27),c_27const_2ewords_2eword__add_27__02(s__02(c_27type_2efcp_2ecart_27__02(cbool__00,V_27A_27),c_27const_2ewords_2eword__mul_27__02(s__02(c_27type_2efcp_2ecart_27__02(cbool__00,V_27A_27),V_27v_27),s__02(c_27type_2efcp_2ecart_27__02(cbool__00,V_27A_27),V_27w_27))),s__02(c_27type_2efcp_2ecart_27__02(cbool__00,V_27A_27),c_27const_2ewords_2eword__mul_27__02(s__02(c_27type_2efcp_2ecart_27__02(cbool__00,V_27A_27),V_27v_27),s__02(c_27type_2efcp_2ecart_27__02(cbool__00,V_27A_27),V_27x_27))))) ).
fof('thm.set_sep.STAR_ASSOC',axiom,
! [V_27A_27,V_27p_27,V_27q_27,V_27r_27] : s__02(cfun__02(cfun__02(V_27A_27,cbool__00),cbool__00),c_27const_2eset__sep_2eSTAR_27__02(s__02(cfun__02(cfun__02(V_27A_27,cbool__00),cbool__00),V_27p_27),s__02(cfun__02(cfun__02(V_27A_27,cbool__00),cbool__00),c_27const_2eset__sep_2eSTAR_27__02(s__02(cfun__02(cfun__02(V_27A_27,cbool__00),cbool__00),V_27q_27),s__02(cfun__02(cfun__02(V_27A_27,cbool__00),cbool__00),V_27r_27))))) = s__02(cfun__02(cfun__02(V_27A_27,cbool__00),cbool__00),c_27const_2eset__sep_2eSTAR_27__02(s__02(cfun__02(cfun__02(V_27A_27,cbool__00),cbool__00),c_27const_2eset__sep_2eSTAR_27__02(s__02(cfun__02(cfun__02(V_27A_27,cbool__00),cbool__00),V_27p_27),s__02(cfun__02(cfun__02(V_27A_27,cbool__00),cbool__00),V_27q_27))),s__02(cfun__02(cfun__02(V_27A_27,cbool__00),cbool__00),V_27r_27))) ).
fof('thm.set_sep.SEP_CLAUSES',axiom,
! [V_27C_27,V_27A_27,V_27D_27,V_27E_27,V_27F_27,V_27G_27,V_27B_27,V__6] :
( ! [V_27p_27,V_27x_27,V_27v_27] :
? [Vv] :
( ( p__01(s__02(cbool__00,Vv))
<=> s__02(V_27A_27,V_27v_27) = s__02(V_27A_27,V_27x_27) )
& s__02(cfun__02(cfun__02(V_27B_27,cbool__00),cbool__00),chapp__02(s__02(cfun__02(V_27A_27,cfun__02(cfun__02(V_27B_27,cbool__00),cbool__00)),chapp__02(s__02(cfun__02(V_27A_27,cfun__02(V_27A_27,cfun__02(cfun__02(V_27B_27,cbool__00),cbool__00))),chapp__02(s__02(cfun__02(cfun__02(V_27A_27,cfun__02(cfun__02(V_27B_27,cbool__00),cbool__00)),cfun__02(V_27A_27,cfun__02(V_27A_27,cfun__02(cfun__02(V_27B_27,cbool__00),cbool__00)))),V__6),s__02(cfun__02(V_27A_27,cfun__02(cfun__02(V_27B_27,cbool__00),cbool__00)),V_27p_27))),s__02(V_27A_27,V_27x_27))),s__02(V_27A_27,V_27v_27))) = s__02(cfun__02(cfun__02(V_27B_27,cbool__00),cbool__00),c_27const_2eset__sep_2eSTAR_27__02(s__02(cfun__02(cfun__02(V_27B_27,cbool__00),cbool__00),chapp__02(s__02(cfun__02(V_27A_27,cfun__02(cfun__02(V_27B_27,cbool__00),cbool__00)),V_27p_27),s__02(V_27A_27,V_27v_27))),s__02(cfun__02(cfun__02(V_27B_27,cbool__00),cbool__00),c_27const_2eset__sep_2econd_27__01(s__02(cbool__00,Vv))))) )
=> ! [V__5] :
( ! [V_27q_27,V_27v_27] : s__02(cfun__02(cfun__02(V_27B_27,cbool__00),cbool__00),chapp__02(s__02(cfun__02(V_27C_27,cfun__02(cfun__02(V_27B_27,cbool__00),cbool__00)),chapp__02(s__02(cfun__02(cfun__02(cfun__02(V_27B_27,cbool__00),cbool__00),cfun__02(V_27C_27,cfun__02(cfun__02(V_27B_27,cbool__00),cbool__00))),V__5),s__02(cfun__02(cfun__02(V_27B_27,cbool__00),cbool__00),V_27q_27))),s__02(V_27C_27,V_27v_27))) = s__02(cfun__02(cfun__02(V_27B_27,cbool__00),cbool__00),V_27q_27)
=> ! [V__4] :
( ! [V_27q_27,V_27p_27,V_27v_27] : s__02(cfun__02(cfun__02(V_27B_27,cbool__00),cbool__00),chapp__02(s__02(cfun__02(V_27A_27,cfun__02(cfun__02(V_27B_27,cbool__00),cbool__00)),chapp__02(s__02(cfun__02(cfun__02(V_27A_27,cfun__02(cfun__02(V_27B_27,cbool__00),cbool__00)),cfun__02(V_27A_27,cfun__02(cfun__02(V_27B_27,cbool__00),cbool__00))),chapp__02(s__02(cfun__02(cfun__02(cfun__02(V_27B_27,cbool__00),cbool__00),cfun__02(cfun__02(V_27A_27,cfun__02(cfun__02(V_27B_27,cbool__00),cbool__00)),cfun__02(V_27A_27,cfun__02(cfun__02(V_27B_27,cbool__00),cbool__00)))),V__4),s__02(cfun__02(cfun__02(V_27B_27,cbool__00),cbool__00),V_27q_27))),s__02(cfun__02(V_27A_27,cfun__02(cfun__02(V_27B_27,cbool__00),cbool__00)),V_27p_27))),s__02(V_27A_27,V_27v_27))) = s__02(cfun__02(cfun__02(V_27B_27,cbool__00),cbool__00),c_27const_2eset__sep_2eSEP__DISJ_27__02(s__02(cfun__02(cfun__02(V_27B_27,cbool__00),cbool__00),V_27q_27),s__02(cfun__02(cfun__02(V_27B_27,cbool__00),cbool__00),chapp__02(s__02(cfun__02(V_27A_27,cfun__02(cfun__02(V_27B_27,cbool__00),cbool__00)),V_27p_27),s__02(V_27A_27,V_27v_27)))))
=> ! [V__3] :
( ! [V_27p_27,V_27q_27,V_27v_27] : s__02(cfun__02(cfun__02(V_27B_27,cbool__00),cbool__00),chapp__02(s__02(cfun__02(V_27A_27,cfun__02(cfun__02(V_27B_27,cbool__00),cbool__00)),chapp__02(s__02(cfun__02(cfun__02(cfun__02(V_27B_27,cbool__00),cbool__00),cfun__02(V_27A_27,cfun__02(cfun__02(V_27B_27,cbool__00),cbool__00))),chapp__02(s__02(cfun__02(cfun__02(V_27A_27,cfun__02(cfun__02(V_27B_27,cbool__00),cbool__00)),cfun__02(cfun__02(cfun__02(V_27B_27,cbool__00),cbool__00),cfun__02(V_27A_27,cfun__02(cfun__02(V_27B_27,cbool__00),cbool__00)))),V__3),s__02(cfun__02(V_27A_27,cfun__02(cfun__02(V_27B_27,cbool__00),cbool__00)),V_27p_27))),s__02(cfun__02(cfun__02(V_27B_27,cbool__00),cbool__00),V_27q_27))),s__02(V_27A_27,V_27v_27))) = s__02(cfun__02(cfun__02(V_27B_27,cbool__00),cbool__00),c_27const_2eset__sep_2eSEP__DISJ_27__02(s__02(cfun__02(cfun__02(V_27B_27,cbool__00),cbool__00),chapp__02(s__02(cfun__02(V_27A_27,cfun__02(cfun__02(V_27B_27,cbool__00),cbool__00)),V_27p_27),s__02(V_27A_27,V_27v_27))),s__02(cfun__02(cfun__02(V_27B_27,cbool__00),cbool__00),V_27q_27)))
=> ! [V__2] :
( ! [V_27q_27,V_27p_27,V_27v_27] : s__02(cfun__02(cfun__02(V_27B_27,cbool__00),cbool__00),chapp__02(s__02(cfun__02(V_27A_27,cfun__02(cfun__02(V_27B_27,cbool__00),cbool__00)),chapp__02(s__02(cfun__02(cfun__02(V_27A_27,cfun__02(cfun__02(V_27B_27,cbool__00),cbool__00)),cfun__02(V_27A_27,cfun__02(cfun__02(V_27B_27,cbool__00),cbool__00))),chapp__02(s__02(cfun__02(cfun__02(cfun__02(V_27B_27,cbool__00),cbool__00),cfun__02(cfun__02(V_27A_27,cfun__02(cfun__02(V_27B_27,cbool__00),cbool__00)),cfun__02(V_27A_27,cfun__02(cfun__02(V_27B_27,cbool__00),cbool__00)))),V__2),s__02(cfun__02(cfun__02(V_27B_27,cbool__00),cbool__00),V_27q_27))),s__02(cfun__02(V_27A_27,cfun__02(cfun__02(V_27B_27,cbool__00),cbool__00)),V_27p_27))),s__02(V_27A_27,V_27v_27))) = s__02(cfun__02(cfun__02(V_27B_27,cbool__00),cbool__00),c_27const_2eset__sep_2eSTAR_27__02(s__02(cfun__02(cfun__02(V_27B_27,cbool__00),cbool__00),V_27q_27),s__02(cfun__02(cfun__02(V_27B_27,cbool__00),cbool__00),chapp__02(s__02(cfun__02(V_27A_27,cfun__02(cfun__02(V_27B_27,cbool__00),cbool__00)),V_27p_27),s__02(V_27A_27,V_27v_27)))))
=> ! [V__1] :
( ! [V_27p_27,V_27q_27,V_27v_27] : s__02(cfun__02(cfun__02(V_27B_27,cbool__00),cbool__00),chapp__02(s__02(cfun__02(V_27A_27,cfun__02(cfun__02(V_27B_27,cbool__00),cbool__00)),chapp__02(s__02(cfun__02(cfun__02(cfun__02(V_27B_27,cbool__00),cbool__00),cfun__02(V_27A_27,cfun__02(cfun__02(V_27B_27,cbool__00),cbool__00))),chapp__02(s__02(cfun__02(cfun__02(V_27A_27,cfun__02(cfun__02(V_27B_27,cbool__00),cbool__00)),cfun__02(cfun__02(cfun__02(V_27B_27,cbool__00),cbool__00),cfun__02(V_27A_27,cfun__02(cfun__02(V_27B_27,cbool__00),cbool__00)))),V__1),s__02(cfun__02(V_27A_27,cfun__02(cfun__02(V_27B_27,cbool__00),cbool__00)),V_27p_27))),s__02(cfun__02(cfun__02(V_27B_27,cbool__00),cbool__00),V_27q_27))),s__02(V_27A_27,V_27v_27))) = s__02(cfun__02(cfun__02(V_27B_27,cbool__00),cbool__00),c_27const_2eset__sep_2eSTAR_27__02(s__02(cfun__02(cfun__02(V_27B_27,cbool__00),cbool__00),chapp__02(s__02(cfun__02(V_27A_27,cfun__02(cfun__02(V_27B_27,cbool__00),cbool__00)),V_27p_27),s__02(V_27A_27,V_27v_27))),s__02(cfun__02(cfun__02(V_27B_27,cbool__00),cbool__00),V_27q_27)))
=> ! [V__0] :
( ! [V_27p_27,V_27v_27] : s__02(cfun__02(cfun__02(V_27B_27,cbool__00),cbool__00),chapp__02(s__02(cfun__02(V_27A_27,cfun__02(cfun__02(V_27B_27,cbool__00),cbool__00)),chapp__02(s__02(cfun__02(cfun__02(V_27A_27,cfun__02(cfun__02(V_27B_27,cbool__00),cbool__00)),cfun__02(V_27A_27,cfun__02(cfun__02(V_27B_27,cbool__00),cbool__00))),V__0),s__02(cfun__02(V_27A_27,cfun__02(cfun__02(V_27B_27,cbool__00),cbool__00)),V_27p_27))),s__02(V_27A_27,V_27v_27))) = s__02(cfun__02(cfun__02(V_27B_27,cbool__00),cbool__00),chapp__02(s__02(cfun__02(V_27A_27,cfun__02(cfun__02(V_27B_27,cbool__00),cbool__00)),V_27p_27),s__02(V_27A_27,V_27v_27)))
=> ! [V_27x_27,V_27r_27,V_27p_27,V_27q_27,V_27t_27,V_27c_27,V_27c_7c39_7c_27] :
( s__02(cfun__02(cfun__02(V_27B_27,cbool__00),cbool__00),c_27const_2eset__sep_2eSTAR_27__02(s__02(cfun__02(cfun__02(V_27B_27,cbool__00),cbool__00),c_27const_2eset__sep_2eSEP__EXISTS_27__01(s__02(cfun__02(V_27A_27,cfun__02(cfun__02(V_27B_27,cbool__00),cbool__00)),chapp__02(s__02(cfun__02(cfun__02(V_27A_27,cfun__02(cfun__02(V_27B_27,cbool__00),cbool__00)),cfun__02(V_27A_27,cfun__02(cfun__02(V_27B_27,cbool__00),cbool__00))),V__0),s__02(cfun__02(V_27A_27,cfun__02(cfun__02(V_27B_27,cbool__00),cbool__00)),V_27p_27))))),s__02(cfun__02(cfun__02(V_27B_27,cbool__00),cbool__00),V_27q_27))) = s__02(cfun__02(cfun__02(V_27B_27,cbool__00),cbool__00),c_27const_2eset__sep_2eSEP__EXISTS_27__01(s__02(cfun__02(V_27A_27,cfun__02(cfun__02(V_27B_27,cbool__00),cbool__00)),chapp__02(s__02(cfun__02(cfun__02(V_27A_27,cfun__02(cfun__02(V_27B_27,cbool__00),cbool__00)),cfun__02(V_27A_27,cfun__02(cfun__02(V_27B_27,cbool__00),cbool__00))),V__0),s__02(cfun__02(V_27A_27,cfun__02(cfun__02(V_27B_27,cbool__00),cbool__00)),chapp__02(s__02(cfun__02(cfun__02(cfun__02(V_27B_27,cbool__00),cbool__00),cfun__02(V_27A_27,cfun__02(cfun__02(V_27B_27,cbool__00),cbool__00))),chapp__02(s__02(cfun__02(cfun__02(V_27A_27,cfun__02(cfun__02(V_27B_27,cbool__00),cbool__00)),cfun__02(cfun__02(cfun__02(V_27B_27,cbool__00),cbool__00),cfun__02(V_27A_27,cfun__02(cfun__02(V_27B_27,cbool__00),cbool__00)))),V__1),s__02(cfun__02(V_27A_27,cfun__02(cfun__02(V_27B_27,cbool__00),cbool__00)),V_27p_27))),s__02(cfun__02(cfun__02(V_27B_27,cbool__00),cbool__00),V_27q_27)))))))
& s__02(cfun__02(cfun__02(V_27B_27,cbool__00),cbool__00),c_27const_2eset__sep_2eSTAR_27__02(s__02(cfun__02(cfun__02(V_27B_27,cbool__00),cbool__00),V_27q_27),s__02(cfun__02(cfun__02(V_27B_27,cbool__00),cbool__00),c_27const_2eset__sep_2eSEP__EXISTS_27__01(s__02(cfun__02(V_27A_27,cfun__02(cfun__02(V_27B_27,cbool__00),cbool__00)),chapp__02(s__02(cfun__02(cfun__02(V_27A_27,cfun__02(cfun__02(V_27B_27,cbool__00),cbool__00)),cfun__02(V_27A_27,cfun__02(cfun__02(V_27B_27,cbool__00),cbool__00))),V__0),s__02(cfun__02(V_27A_27,cfun__02(cfun__02(V_27B_27,cbool__00),cbool__00)),V_27p_27))))))) = s__02(cfun__02(cfun__02(V_27B_27,cbool__00),cbool__00),c_27const_2eset__sep_2eSEP__EXISTS_27__01(s__02(cfun__02(V_27A_27,cfun__02(cfun__02(V_27B_27,cbool__00),cbool__00)),chapp__02(s__02(cfun__02(cfun__02(V_27A_27,cfun__02(cfun__02(V_27B_27,cbool__00),cbool__00)),cfun__02(V_27A_27,cfun__02(cfun__02(V_27B_27,cbool__00),cbool__00))),V__0),s__02(cfun__02(V_27A_27,cfun__02(cfun__02(V_27B_27,cbool__00),cbool__00)),chapp__02(s__02(cfun__02(cfun__02(V_27A_27,cfun__02(cfun__02(V_27B_27,cbool__00),cbool__00)),cfun__02(V_27A_27,cfun__02(cfun__02(V_27B_27,cbool__00),cbool__00))),chapp__02(s__02(cfun__02(cfun__02(cfun__02(V_27B_27,cbool__00),cbool__00),cfun__02(cfun__02(V_27A_27,cfun__02(cfun__02(V_27B_27,cbool__00),cbool__00)),cfun__02(V_27A_27,cfun__02(cfun__02(V_27B_27,cbool__00),cbool__00)))),V__2),s__02(cfun__02(cfun__02(V_27B_27,cbool__00),cbool__00),V_27q_27))),s__02(cfun__02(V_27A_27,cfun__02(cfun__02(V_27B_27,cbool__00),cbool__00)),V_27p_27)))))))
& s__02(cfun__02(cfun__02(V_27B_27,cbool__00),cbool__00),c_27const_2eset__sep_2eSEP__DISJ_27__02(s__02(cfun__02(cfun__02(V_27B_27,cbool__00),cbool__00),c_27const_2eset__sep_2eSEP__EXISTS_27__01(s__02(cfun__02(V_27A_27,cfun__02(cfun__02(V_27B_27,cbool__00),cbool__00)),chapp__02(s__02(cfun__02(cfun__02(V_27A_27,cfun__02(cfun__02(V_27B_27,cbool__00),cbool__00)),cfun__02(V_27A_27,cfun__02(cfun__02(V_27B_27,cbool__00),cbool__00))),V__0),s__02(cfun__02(V_27A_27,cfun__02(cfun__02(V_27B_27,cbool__00),cbool__00)),V_27p_27))))),s__02(cfun__02(cfun__02(V_27B_27,cbool__00),cbool__00),V_27q_27))) = s__02(cfun__02(cfun__02(V_27B_27,cbool__00),cbool__00),c_27const_2eset__sep_2eSEP__EXISTS_27__01(s__02(cfun__02(V_27A_27,cfun__02(cfun__02(V_27B_27,cbool__00),cbool__00)),chapp__02(s__02(cfun__02(cfun__02(V_27A_27,cfun__02(cfun__02(V_27B_27,cbool__00),cbool__00)),cfun__02(V_27A_27,cfun__02(cfun__02(V_27B_27,cbool__00),cbool__00))),V__0),s__02(cfun__02(V_27A_27,cfun__02(cfun__02(V_27B_27,cbool__00),cbool__00)),chapp__02(s__02(cfun__02(cfun__02(cfun__02(V_27B_27,cbool__00),cbool__00),cfun__02(V_27A_27,cfun__02(cfun__02(V_27B_27,cbool__00),cbool__00))),chapp__02(s__02(cfun__02(cfun__02(V_27A_27,cfun__02(cfun__02(V_27B_27,cbool__00),cbool__00)),cfun__02(cfun__02(cfun__02(V_27B_27,cbool__00),cbool__00),cfun__02(V_27A_27,cfun__02(cfun__02(V_27B_27,cbool__00),cbool__00)))),V__3),s__02(cfun__02(V_27A_27,cfun__02(cfun__02(V_27B_27,cbool__00),cbool__00)),V_27p_27))),s__02(cfun__02(cfun__02(V_27B_27,cbool__00),cbool__00),V_27q_27)))))))
& s__02(cfun__02(cfun__02(V_27B_27,cbool__00),cbool__00),c_27const_2eset__sep_2eSEP__DISJ_27__02(s__02(cfun__02(cfun__02(V_27B_27,cbool__00),cbool__00),V_27q_27),s__02(cfun__02(cfun__02(V_27B_27,cbool__00),cbool__00),c_27const_2eset__sep_2eSEP__EXISTS_27__01(s__02(cfun__02(V_27A_27,cfun__02(cfun__02(V_27B_27,cbool__00),cbool__00)),chapp__02(s__02(cfun__02(cfun__02(V_27A_27,cfun__02(cfun__02(V_27B_27,cbool__00),cbool__00)),cfun__02(V_27A_27,cfun__02(cfun__02(V_27B_27,cbool__00),cbool__00))),V__0),s__02(cfun__02(V_27A_27,cfun__02(cfun__02(V_27B_27,cbool__00),cbool__00)),V_27p_27))))))) = s__02(cfun__02(cfun__02(V_27B_27,cbool__00),cbool__00),c_27const_2eset__sep_2eSEP__EXISTS_27__01(s__02(cfun__02(V_27A_27,cfun__02(cfun__02(V_27B_27,cbool__00),cbool__00)),chapp__02(s__02(cfun__02(cfun__02(V_27A_27,cfun__02(cfun__02(V_27B_27,cbool__00),cbool__00)),cfun__02(V_27A_27,cfun__02(cfun__02(V_27B_27,cbool__00),cbool__00))),V__0),s__02(cfun__02(V_27A_27,cfun__02(cfun__02(V_27B_27,cbool__00),cbool__00)),chapp__02(s__02(cfun__02(cfun__02(V_27A_27,cfun__02(cfun__02(V_27B_27,cbool__00),cbool__00)),cfun__02(V_27A_27,cfun__02(cfun__02(V_27B_27,cbool__00),cbool__00))),chapp__02(s__02(cfun__02(cfun__02(cfun__02(V_27B_27,cbool__00),cbool__00),cfun__02(cfun__02(V_27A_27,cfun__02(cfun__02(V_27B_27,cbool__00),cbool__00)),cfun__02(V_27A_27,cfun__02(cfun__02(V_27B_27,cbool__00),cbool__00)))),V__4),s__02(cfun__02(cfun__02(V_27B_27,cbool__00),cbool__00),V_27q_27))),s__02(cfun__02(V_27A_27,cfun__02(cfun__02(V_27B_27,cbool__00),cbool__00)),V_27p_27)))))))
& s__02(cfun__02(cfun__02(V_27B_27,cbool__00),cbool__00),c_27const_2eset__sep_2eSEP__EXISTS_27__01(s__02(cfun__02(V_27C_27,cfun__02(cfun__02(V_27B_27,cbool__00),cbool__00)),chapp__02(s__02(cfun__02(cfun__02(cfun__02(V_27B_27,cbool__00),cbool__00),cfun__02(V_27C_27,cfun__02(cfun__02(V_27B_27,cbool__00),cbool__00))),V__5),s__02(cfun__02(cfun__02(V_27B_27,cbool__00),cbool__00),V_27q_27))))) = s__02(cfun__02(cfun__02(V_27B_27,cbool__00),cbool__00),V_27q_27)
& s__02(cfun__02(cfun__02(V_27B_27,cbool__00),cbool__00),c_27const_2eset__sep_2eSEP__EXISTS_27__01(s__02(cfun__02(V_27A_27,cfun__02(cfun__02(V_27B_27,cbool__00),cbool__00)),chapp__02(s__02(cfun__02(cfun__02(V_27A_27,cfun__02(cfun__02(V_27B_27,cbool__00),cbool__00)),cfun__02(V_27A_27,cfun__02(cfun__02(V_27B_27,cbool__00),cbool__00))),V__0),s__02(cfun__02(V_27A_27,cfun__02(cfun__02(V_27B_27,cbool__00),cbool__00)),chapp__02(s__02(cfun__02(V_27A_27,cfun__02(V_27A_27,cfun__02(cfun__02(V_27B_27,cbool__00),cbool__00))),chapp__02(s__02(cfun__02(cfun__02(V_27A_27,cfun__02(cfun__02(V_27B_27,cbool__00),cbool__00)),cfun__02(V_27A_27,cfun__02(V_27A_27,cfun__02(cfun__02(V_27B_27,cbool__00),cbool__00)))),V__6),s__02(cfun__02(V_27A_27,cfun__02(cfun__02(V_27B_27,cbool__00),cbool__00)),V_27p_27))),s__02(V_27A_27,V_27x_27))))))) = s__02(cfun__02(cfun__02(V_27B_27,cbool__00),cbool__00),chapp__02(s__02(cfun__02(V_27A_27,cfun__02(cfun__02(V_27B_27,cbool__00),cbool__00)),V_27p_27),s__02(V_27A_27,V_27x_27)))
& s__02(cfun__02(cfun__02(V_27B_27,cbool__00),cbool__00),c_27const_2eset__sep_2eSEP__DISJ_27__02(s__02(cfun__02(cfun__02(V_27B_27,cbool__00),cbool__00),V_27q_27),s__02(cfun__02(cfun__02(V_27B_27,cbool__00),cbool__00),c_27const_2eset__sep_2eSEP__F_27__00))) = s__02(cfun__02(cfun__02(V_27B_27,cbool__00),cbool__00),V_27q_27)
& s__02(cfun__02(cfun__02(V_27B_27,cbool__00),cbool__00),c_27const_2eset__sep_2eSEP__DISJ_27__02(s__02(cfun__02(cfun__02(V_27B_27,cbool__00),cbool__00),c_27const_2eset__sep_2eSEP__F_27__00),s__02(cfun__02(cfun__02(V_27B_27,cbool__00),cbool__00),V_27q_27))) = s__02(cfun__02(cfun__02(V_27B_27,cbool__00),cbool__00),V_27q_27)
& s__02(cfun__02(cfun__02(V_27B_27,cbool__00),cbool__00),c_27const_2eset__sep_2eSTAR_27__02(s__02(cfun__02(cfun__02(V_27B_27,cbool__00),cbool__00),c_27const_2eset__sep_2eSEP__F_27__00),s__02(cfun__02(cfun__02(V_27B_27,cbool__00),cbool__00),V_27q_27))) = s__02(cfun__02(cfun__02(V_27B_27,cbool__00),cbool__00),c_27const_2eset__sep_2eSEP__F_27__00)
& s__02(cfun__02(cfun__02(V_27B_27,cbool__00),cbool__00),c_27const_2eset__sep_2eSTAR_27__02(s__02(cfun__02(cfun__02(V_27B_27,cbool__00),cbool__00),V_27q_27),s__02(cfun__02(cfun__02(V_27B_27,cbool__00),cbool__00),c_27const_2eset__sep_2eSEP__F_27__00))) = s__02(cfun__02(cfun__02(V_27B_27,cbool__00),cbool__00),c_27const_2eset__sep_2eSEP__F_27__00)
& s__02(cfun__02(cfun__02(V_27B_27,cbool__00),cbool__00),c_27const_2eset__sep_2eSEP__DISJ_27__02(s__02(cfun__02(cfun__02(V_27B_27,cbool__00),cbool__00),V_27r_27),s__02(cfun__02(cfun__02(V_27B_27,cbool__00),cbool__00),V_27r_27))) = s__02(cfun__02(cfun__02(V_27B_27,cbool__00),cbool__00),V_27r_27)
& s__02(cfun__02(cfun__02(V_27B_27,cbool__00),cbool__00),c_27const_2eset__sep_2eSTAR_27__02(s__02(cfun__02(cfun__02(V_27B_27,cbool__00),cbool__00),V_27q_27),s__02(cfun__02(cfun__02(V_27B_27,cbool__00),cbool__00),c_27const_2eset__sep_2eSEP__DISJ_27__02(s__02(cfun__02(cfun__02(V_27B_27,cbool__00),cbool__00),V_27r_27),s__02(cfun__02(cfun__02(V_27B_27,cbool__00),cbool__00),V_27t_27))))) = s__02(cfun__02(cfun__02(V_27B_27,cbool__00),cbool__00),c_27const_2eset__sep_2eSEP__DISJ_27__02(s__02(cfun__02(cfun__02(V_27B_27,cbool__00),cbool__00),c_27const_2eset__sep_2eSTAR_27__02(s__02(cfun__02(cfun__02(V_27B_27,cbool__00),cbool__00),V_27q_27),s__02(cfun__02(cfun__02(V_27B_27,cbool__00),cbool__00),V_27r_27))),s__02(cfun__02(cfun__02(V_27B_27,cbool__00),cbool__00),c_27const_2eset__sep_2eSTAR_27__02(s__02(cfun__02(cfun__02(V_27B_27,cbool__00),cbool__00),V_27q_27),s__02(cfun__02(cfun__02(V_27B_27,cbool__00),cbool__00),V_27t_27)))))
& s__02(cfun__02(cfun__02(V_27B_27,cbool__00),cbool__00),c_27const_2eset__sep_2eSTAR_27__02(s__02(cfun__02(cfun__02(V_27B_27,cbool__00),cbool__00),c_27const_2eset__sep_2eSEP__DISJ_27__02(s__02(cfun__02(cfun__02(V_27B_27,cbool__00),cbool__00),V_27r_27),s__02(cfun__02(cfun__02(V_27B_27,cbool__00),cbool__00),V_27t_27))),s__02(cfun__02(cfun__02(V_27B_27,cbool__00),cbool__00),V_27q_27))) = s__02(cfun__02(cfun__02(V_27B_27,cbool__00),cbool__00),c_27const_2eset__sep_2eSEP__DISJ_27__02(s__02(cfun__02(cfun__02(V_27B_27,cbool__00),cbool__00),c_27const_2eset__sep_2eSTAR_27__02(s__02(cfun__02(cfun__02(V_27B_27,cbool__00),cbool__00),V_27r_27),s__02(cfun__02(cfun__02(V_27B_27,cbool__00),cbool__00),V_27q_27))),s__02(cfun__02(cfun__02(V_27B_27,cbool__00),cbool__00),c_27const_2eset__sep_2eSTAR_27__02(s__02(cfun__02(cfun__02(V_27B_27,cbool__00),cbool__00),V_27t_27),s__02(cfun__02(cfun__02(V_27B_27,cbool__00),cbool__00),V_27q_27)))))
& ? [Vv] :
( ( p__01(s__02(cbool__00,Vv))
<=> ( p__01(s__02(cbool__00,V_27c_27))
| p__01(s__02(cbool__00,V_27c_7c39_7c_27)) ) )
& s__02(cfun__02(cfun__02(V_27D_27,cbool__00),cbool__00),c_27const_2eset__sep_2eSEP__DISJ_27__02(s__02(cfun__02(cfun__02(V_27D_27,cbool__00),cbool__00),c_27const_2eset__sep_2econd_27__01(s__02(cbool__00,V_27c_27))),s__02(cfun__02(cfun__02(V_27D_27,cbool__00),cbool__00),c_27const_2eset__sep_2econd_27__01(s__02(cbool__00,V_27c_7c39_7c_27))))) = s__02(cfun__02(cfun__02(V_27D_27,cbool__00),cbool__00),c_27const_2eset__sep_2econd_27__01(s__02(cbool__00,Vv))) )
& ? [Vv] :
( ( p__01(s__02(cbool__00,Vv))
<=> ( p__01(s__02(cbool__00,V_27c_27))
& p__01(s__02(cbool__00,V_27c_7c39_7c_27)) ) )
& s__02(cfun__02(cfun__02(V_27E_27,cbool__00),cbool__00),c_27const_2eset__sep_2eSTAR_27__02(s__02(cfun__02(cfun__02(V_27E_27,cbool__00),cbool__00),c_27const_2eset__sep_2econd_27__01(s__02(cbool__00,V_27c_27))),s__02(cfun__02(cfun__02(V_27E_27,cbool__00),cbool__00),c_27const_2eset__sep_2econd_27__01(s__02(cbool__00,V_27c_7c39_7c_27))))) = s__02(cfun__02(cfun__02(V_27E_27,cbool__00),cbool__00),c_27const_2eset__sep_2econd_27__01(s__02(cbool__00,Vv))) )
& s__02(cfun__02(cfun__02(V_27F_27,cbool__00),cbool__00),c_27const_2eset__sep_2econd_27__01(s__02(cbool__00,cT__00))) = s__02(cfun__02(cfun__02(V_27F_27,cbool__00),cbool__00),c_27const_2eset__sep_2eemp_27__00)
& s__02(cfun__02(cfun__02(V_27G_27,cbool__00),cbool__00),c_27const_2eset__sep_2econd_27__01(s__02(cbool__00,cF__00))) = s__02(cfun__02(cfun__02(V_27G_27,cbool__00),cbool__00),c_27const_2eset__sep_2eSEP__F_27__00)
& s__02(cfun__02(cfun__02(V_27B_27,cbool__00),cbool__00),c_27const_2eset__sep_2eSTAR_27__02(s__02(cfun__02(cfun__02(V_27B_27,cbool__00),cbool__00),c_27const_2eset__sep_2eemp_27__00),s__02(cfun__02(cfun__02(V_27B_27,cbool__00),cbool__00),V_27q_27))) = s__02(cfun__02(cfun__02(V_27B_27,cbool__00),cbool__00),V_27q_27)
& s__02(cfun__02(cfun__02(V_27B_27,cbool__00),cbool__00),c_27const_2eset__sep_2eSTAR_27__02(s__02(cfun__02(cfun__02(V_27B_27,cbool__00),cbool__00),V_27q_27),s__02(cfun__02(cfun__02(V_27B_27,cbool__00),cbool__00),c_27const_2eset__sep_2eemp_27__00))) = s__02(cfun__02(cfun__02(V_27B_27,cbool__00),cbool__00),V_27q_27) ) ) ) ) ) ) ) ) ).
fof('thm.misc.word_list_def',axiom,
! [V_27A_27,V_27B_27] :
( ! [V_27a_27] : s__02(cfun__02(cfun__02(c_27type_2epair_2eprod_27__02(c_27type_2efcp_2ecart_27__02(cbool__00,V_27A_27),V_27B_27),cbool__00),cbool__00),c_27const_2emisc_2eword__list_27__02(s__02(c_27type_2efcp_2ecart_27__02(cbool__00,V_27A_27),V_27a_27),s__02(c_27type_2elist_2elist_27__01(V_27B_27),c_27const_2elist_2eNIL_27__00))) = s__02(cfun__02(cfun__02(c_27type_2epair_2eprod_27__02(c_27type_2efcp_2ecart_27__02(cbool__00,V_27A_27),V_27B_27),cbool__00),cbool__00),c_27const_2eset__sep_2eemp_27__00)
& ! [V_27a_27,V_27x_27,V_27xs_27] : s__02(cfun__02(cfun__02(c_27type_2epair_2eprod_27__02(c_27type_2efcp_2ecart_27__02(cbool__00,V_27A_27),V_27B_27),cbool__00),cbool__00),c_27const_2emisc_2eword__list_27__02(s__02(c_27type_2efcp_2ecart_27__02(cbool__00,V_27A_27),V_27a_27),s__02(c_27type_2elist_2elist_27__01(V_27B_27),c_27const_2elist_2eCONS_27__02(s__02(V_27B_27,V_27x_27),s__02(c_27type_2elist_2elist_27__01(V_27B_27),V_27xs_27))))) = s__02(cfun__02(cfun__02(c_27type_2epair_2eprod_27__02(c_27type_2efcp_2ecart_27__02(cbool__00,V_27A_27),V_27B_27),cbool__00),cbool__00),c_27const_2eset__sep_2eSTAR_27__02(s__02(cfun__02(cfun__02(c_27type_2epair_2eprod_27__02(c_27type_2efcp_2ecart_27__02(cbool__00,V_27A_27),V_27B_27),cbool__00),cbool__00),c_27const_2eset__sep_2eone_27__01(s__02(c_27type_2epair_2eprod_27__02(c_27type_2efcp_2ecart_27__02(cbool__00,V_27A_27),V_27B_27),c_27const_2epair_2e_2c_27__02(s__02(c_27type_2efcp_2ecart_27__02(cbool__00,V_27A_27),V_27a_27),s__02(V_27B_27,V_27x_27))))),s__02(cfun__02(cfun__02(c_27type_2epair_2eprod_27__02(c_27type_2efcp_2ecart_27__02(cbool__00,V_27A_27),V_27B_27),cbool__00),cbool__00),c_27const_2emisc_2eword__list_27__02(s__02(c_27type_2efcp_2ecart_27__02(cbool__00,V_27A_27),c_27const_2ewords_2eword__add_27__02(s__02(c_27type_2efcp_2ecart_27__02(cbool__00,V_27A_27),V_27a_27),s__02(c_27type_2efcp_2ecart_27__02(cbool__00,V_27A_27),c_27const_2emisc_2ebytes__in__word_27__00))),s__02(c_27type_2elist_2elist_27__01(V_27B_27),V_27xs_27))))) ) ).
fof(conjecture,conjecture,
! [V_27B_27,V_27A_27,V_27xs_27,V_27ys_27,V_27a_27] : s__02(cfun__02(cfun__02(c_27type_2epair_2eprod_27__02(c_27type_2efcp_2ecart_27__02(cbool__00,V_27B_27),V_27A_27),cbool__00),cbool__00),c_27const_2emisc_2eword__list_27__02(s__02(c_27type_2efcp_2ecart_27__02(cbool__00,V_27B_27),V_27a_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_27xs_27),s__02(c_27type_2elist_2elist_27__01(V_27A_27),V_27ys_27))))) = s__02(cfun__02(cfun__02(c_27type_2epair_2eprod_27__02(c_27type_2efcp_2ecart_27__02(cbool__00,V_27B_27),V_27A_27),cbool__00),cbool__00),c_27const_2eset__sep_2eSTAR_27__02(s__02(cfun__02(cfun__02(c_27type_2epair_2eprod_27__02(c_27type_2efcp_2ecart_27__02(cbool__00,V_27B_27),V_27A_27),cbool__00),cbool__00),c_27const_2emisc_2eword__list_27__02(s__02(c_27type_2efcp_2ecart_27__02(cbool__00,V_27B_27),V_27a_27),s__02(c_27type_2elist_2elist_27__01(V_27A_27),V_27xs_27))),s__02(cfun__02(cfun__02(c_27type_2epair_2eprod_27__02(c_27type_2efcp_2ecart_27__02(cbool__00,V_27B_27),V_27A_27),cbool__00),cbool__00),c_27const_2emisc_2eword__list_27__02(s__02(c_27type_2efcp_2ecart_27__02(cbool__00,V_27B_27),c_27const_2ewords_2eword__add_27__02(s__02(c_27type_2efcp_2ecart_27__02(cbool__00,V_27B_27),V_27a_27),s__02(c_27type_2efcp_2ecart_27__02(cbool__00,V_27B_27),c_27const_2ewords_2eword__mul_27__02(s__02(c_27type_2efcp_2ecart_27__02(cbool__00,V_27B_27),c_27const_2ewords_2en2w_27__01(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_27xs_27))))),s__02(c_27type_2efcp_2ecart_27__02(cbool__00,V_27B_27),c_27const_2emisc_2ebytes__in__word_27__00))))),s__02(c_27type_2elist_2elist_27__01(V_27A_27),V_27ys_27))))) ).
%------------------------------------------------------------------------------