TPTP Problem File: SWW933+1.p
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%------------------------------------------------------------------------------
% File : SWW933+1 : TPTP v8.2.0. Released v7.3.0.
% Domain : Software Verification
% Problem : data_to_word_gcProof__33__fromList_SNOC__dep
% Version : Especial.
% English :
% Refs : [Kum18] Kumar (2018), Email to Geoff Sutcliffe
% Source : [Kum18]
% Names : data_to_word_gcProof__33__fromList_SNOC__dep [Kum18]
% Status : CounterSatisfiable
% Rating : 0.00 v8.1.0, 0.25 v7.5.0, 0.60 v7.4.0, 0.33 v7.3.0
% Syntax : Number of formulae : 17 ( 11 unt; 0 def)
% Number of atoms : 28 ( 24 equ)
% Maximal formula atoms : 5 ( 1 avg)
% Number of connectives : 12 ( 1 ~; 1 |; 1 &)
% ( 1 <=>; 8 =>; 0 <=; 0 <~>)
% Maximal formula depth : 15 ( 5 avg)
% Maximal term depth : 16 ( 3 avg)
% Number of predicates : 2 ( 1 usr; 0 prp; 1-2 aty)
% Number of functors : 28 ( 28 usr; 8 con; 0-3 aty)
% Number of variables : 75 ( 73 !; 2 ?)
% SPC : FOF_CSA_RFO_SEQ
% Comments :
%------------------------------------------------------------------------------
fof('HL_TRUTH',axiom,
p__01(s__02(cbool__00,cT__00)) ).
fof('HL_FALSITY',axiom,
~ p__01(s__02(cbool__00,cF__00)) ).
fof('HL_BOOL_CASES',axiom,
! [Vt] :
( s__02(cbool__00,Vt) = s__02(cbool__00,cT__00)
| s__02(cbool__00,Vt) = s__02(cbool__00,cF__00) ) ).
fof('HL_EXT',axiom,
! [V_3f2384,V_3f2380,Vf,Vg] :
( ! [Vx] : s__02(V_3f2380,chapp__02(s__02(cfun__02(V_3f2384,V_3f2380),Vf),s__02(V_3f2384,Vx))) = s__02(V_3f2380,chapp__02(s__02(cfun__02(V_3f2384,V_3f2380),Vg),s__02(V_3f2384,Vx)))
=> s__02(cfun__02(V_3f2384,V_3f2380),Vf) = s__02(cfun__02(V_3f2384,V_3f2380),Vg) ) ).
fof('thm.bool.TRUTH',axiom,
p__01(s__02(cbool__00,cT__00)) ).
fof('thm.bool.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.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.SND',axiom,
! [V_27A_27,V_27B_27,V_27x_27,V_27y_27] : s__02(V_27B_27,c_27const_2epair_2eSND_27__01(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_27B_27,V_27y_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.arithmetic.ADD_0',axiom,
! [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_2enum_2e0_27__00))) = s__02(c_27type_2enum_2enum_27__00,V_27m_27) ).
fof('thm.arithmetic.MULT_RIGHT_1',axiom,
! [V_27m_27] : s__02(c_27type_2enum_2enum_27__00,c_27const_2earithmetic_2e_2a_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))))))) = s__02(c_27type_2enum_2enum_27__00,V_27m_27) ).
fof('thm.list.FOLDL',axiom,
! [V_27B_27,V_27A_27] :
( ! [V_27f_27,V_27e_27] : s__02(V_27B_27,c_27const_2elist_2eFOLDL_27__03(s__02(cfun__02(V_27B_27,cfun__02(V_27A_27,V_27B_27)),V_27f_27),s__02(V_27B_27,V_27e_27),s__02(c_27type_2elist_2elist_27__01(V_27A_27),c_27const_2elist_2eNIL_27__00))) = s__02(V_27B_27,V_27e_27)
& ! [V_27f_27,V_27e_27,V_27x_27,V_27l_27] : s__02(V_27B_27,c_27const_2elist_2eFOLDL_27__03(s__02(cfun__02(V_27B_27,cfun__02(V_27A_27,V_27B_27)),V_27f_27),s__02(V_27B_27,V_27e_27),s__02(c_27type_2elist_2elist_27__01(V_27A_27),c_27const_2elist_2eCONS_27__02(s__02(V_27A_27,V_27x_27),s__02(c_27type_2elist_2elist_27__01(V_27A_27),V_27l_27))))) = s__02(V_27B_27,c_27const_2elist_2eFOLDL_27__03(s__02(cfun__02(V_27B_27,cfun__02(V_27A_27,V_27B_27)),V_27f_27),s__02(V_27B_27,chapp__02(s__02(cfun__02(V_27A_27,V_27B_27),chapp__02(s__02(cfun__02(V_27B_27,cfun__02(V_27A_27,V_27B_27)),V_27f_27),s__02(V_27B_27,V_27e_27))),s__02(V_27A_27,V_27x_27))),s__02(c_27type_2elist_2elist_27__01(V_27A_27),V_27l_27))) ) ).
fof('thm.list.SNOC_APPEND',axiom,
! [V_27A_27,V_27x_27,V_27l_27] : s__02(c_27type_2elist_2elist_27__01(V_27A_27),c_27const_2elist_2eSNOC_27__02(s__02(V_27A_27,V_27x_27),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),c_27const_2elist_2eAPPEND_27__02(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),c_27const_2elist_2eCONS_27__02(s__02(V_27A_27,V_27x_27),s__02(c_27type_2elist_2elist_27__01(V_27A_27),c_27const_2elist_2eNIL_27__00))))) ).
fof('thm.rich_list.FOLDL_APPEND',axiom,
! [V_27A_27,V_27B_27,V_27f_27,V_27e_27,V_27l1_27,V_27l2_27] : s__02(V_27A_27,c_27const_2elist_2eFOLDL_27__03(s__02(cfun__02(V_27A_27,cfun__02(V_27B_27,V_27A_27)),V_27f_27),s__02(V_27A_27,V_27e_27),s__02(c_27type_2elist_2elist_27__01(V_27B_27),c_27const_2elist_2eAPPEND_27__02(s__02(c_27type_2elist_2elist_27__01(V_27B_27),V_27l1_27),s__02(c_27type_2elist_2elist_27__01(V_27B_27),V_27l2_27))))) = s__02(V_27A_27,c_27const_2elist_2eFOLDL_27__03(s__02(cfun__02(V_27A_27,cfun__02(V_27B_27,V_27A_27)),V_27f_27),s__02(V_27A_27,c_27const_2elist_2eFOLDL_27__03(s__02(cfun__02(V_27A_27,cfun__02(V_27B_27,V_27A_27)),V_27f_27),s__02(V_27A_27,V_27e_27),s__02(c_27type_2elist_2elist_27__01(V_27B_27),V_27l1_27))),s__02(c_27type_2elist_2elist_27__01(V_27B_27),V_27l2_27))) ).
fof('thm.sptree.fromList_def',axiom,
! [V_27A_27,V__2] :
( ! [V_27i_27,V_27t_27,V_27a_27] : s__02(c_27type_2epair_2eprod_27__02(c_27type_2enum_2enum_27__00,c_27type_2esptree_2espt_27__01(V_27A_27)),chapp__02(s__02(cfun__02(V_27A_27,c_27type_2epair_2eprod_27__02(c_27type_2enum_2enum_27__00,c_27type_2esptree_2espt_27__01(V_27A_27))),chapp__02(s__02(cfun__02(c_27type_2esptree_2espt_27__01(V_27A_27),cfun__02(V_27A_27,c_27type_2epair_2eprod_27__02(c_27type_2enum_2enum_27__00,c_27type_2esptree_2espt_27__01(V_27A_27)))),chapp__02(s__02(cfun__02(c_27type_2enum_2enum_27__00,cfun__02(c_27type_2esptree_2espt_27__01(V_27A_27),cfun__02(V_27A_27,c_27type_2epair_2eprod_27__02(c_27type_2enum_2enum_27__00,c_27type_2esptree_2espt_27__01(V_27A_27))))),V__2),s__02(c_27type_2enum_2enum_27__00,V_27i_27))),s__02(c_27type_2esptree_2espt_27__01(V_27A_27),V_27t_27))),s__02(V_27A_27,V_27a_27))) = s__02(c_27type_2epair_2eprod_27__02(c_27type_2enum_2enum_27__00,c_27type_2esptree_2espt_27__01(V_27A_27)),c_27const_2epair_2e_2c_27__02(s__02(c_27type_2enum_2enum_27__00,c_27const_2earithmetic_2e_2b_27__02(s__02(c_27type_2enum_2enum_27__00,V_27i_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_2esptree_2espt_27__01(V_27A_27),c_27const_2esptree_2einsert_27__03(s__02(c_27type_2enum_2enum_27__00,V_27i_27),s__02(V_27A_27,V_27a_27),s__02(c_27type_2esptree_2espt_27__01(V_27A_27),V_27t_27)))))
=> ! [V__1] :
( ! [V_27i_27,V_27t_27] : s__02(cfun__02(V_27A_27,c_27type_2epair_2eprod_27__02(c_27type_2enum_2enum_27__00,c_27type_2esptree_2espt_27__01(V_27A_27))),chapp__02(s__02(cfun__02(c_27type_2esptree_2espt_27__01(V_27A_27),cfun__02(V_27A_27,c_27type_2epair_2eprod_27__02(c_27type_2enum_2enum_27__00,c_27type_2esptree_2espt_27__01(V_27A_27)))),chapp__02(s__02(cfun__02(c_27type_2enum_2enum_27__00,cfun__02(c_27type_2esptree_2espt_27__01(V_27A_27),cfun__02(V_27A_27,c_27type_2epair_2eprod_27__02(c_27type_2enum_2enum_27__00,c_27type_2esptree_2espt_27__01(V_27A_27))))),V__1),s__02(c_27type_2enum_2enum_27__00,V_27i_27))),s__02(c_27type_2esptree_2espt_27__01(V_27A_27),V_27t_27))) = s__02(cfun__02(V_27A_27,c_27type_2epair_2eprod_27__02(c_27type_2enum_2enum_27__00,c_27type_2esptree_2espt_27__01(V_27A_27))),chapp__02(s__02(cfun__02(c_27type_2esptree_2espt_27__01(V_27A_27),cfun__02(V_27A_27,c_27type_2epair_2eprod_27__02(c_27type_2enum_2enum_27__00,c_27type_2esptree_2espt_27__01(V_27A_27)))),chapp__02(s__02(cfun__02(c_27type_2enum_2enum_27__00,cfun__02(c_27type_2esptree_2espt_27__01(V_27A_27),cfun__02(V_27A_27,c_27type_2epair_2eprod_27__02(c_27type_2enum_2enum_27__00,c_27type_2esptree_2espt_27__01(V_27A_27))))),V__2),s__02(c_27type_2enum_2enum_27__00,V_27i_27))),s__02(c_27type_2esptree_2espt_27__01(V_27A_27),V_27t_27)))
=> ! [V__0] :
( ! [V_27i_27] : s__02(cfun__02(c_27type_2esptree_2espt_27__01(V_27A_27),cfun__02(V_27A_27,c_27type_2epair_2eprod_27__02(c_27type_2enum_2enum_27__00,c_27type_2esptree_2espt_27__01(V_27A_27)))),chapp__02(s__02(cfun__02(c_27type_2enum_2enum_27__00,cfun__02(c_27type_2esptree_2espt_27__01(V_27A_27),cfun__02(V_27A_27,c_27type_2epair_2eprod_27__02(c_27type_2enum_2enum_27__00,c_27type_2esptree_2espt_27__01(V_27A_27))))),V__0),s__02(c_27type_2enum_2enum_27__00,V_27i_27))) = s__02(cfun__02(c_27type_2esptree_2espt_27__01(V_27A_27),cfun__02(V_27A_27,c_27type_2epair_2eprod_27__02(c_27type_2enum_2enum_27__00,c_27type_2esptree_2espt_27__01(V_27A_27)))),chapp__02(s__02(cfun__02(c_27type_2enum_2enum_27__00,cfun__02(c_27type_2esptree_2espt_27__01(V_27A_27),cfun__02(V_27A_27,c_27type_2epair_2eprod_27__02(c_27type_2enum_2enum_27__00,c_27type_2esptree_2espt_27__01(V_27A_27))))),V__1),s__02(c_27type_2enum_2enum_27__00,V_27i_27)))
=> ! [V_27l_27] : s__02(c_27type_2esptree_2espt_27__01(V_27A_27),c_27const_2esptree_2efromList_27__01(s__02(c_27type_2elist_2elist_27__01(V_27A_27),V_27l_27))) = s__02(c_27type_2esptree_2espt_27__01(V_27A_27),c_27const_2epair_2eSND_27__01(s__02(c_27type_2epair_2eprod_27__02(c_27type_2enum_2enum_27__00,c_27type_2esptree_2espt_27__01(V_27A_27)),c_27const_2elist_2eFOLDL_27__03(s__02(cfun__02(c_27type_2epair_2eprod_27__02(c_27type_2enum_2enum_27__00,c_27type_2esptree_2espt_27__01(V_27A_27)),cfun__02(V_27A_27,c_27type_2epair_2eprod_27__02(c_27type_2enum_2enum_27__00,c_27type_2esptree_2espt_27__01(V_27A_27)))),c_27const_2epair_2eUNCURRY_27__01(s__02(cfun__02(c_27type_2enum_2enum_27__00,cfun__02(c_27type_2esptree_2espt_27__01(V_27A_27),cfun__02(V_27A_27,c_27type_2epair_2eprod_27__02(c_27type_2enum_2enum_27__00,c_27type_2esptree_2espt_27__01(V_27A_27))))),V__0))),s__02(c_27type_2epair_2eprod_27__02(c_27type_2enum_2enum_27__00,c_27type_2esptree_2espt_27__01(V_27A_27)),c_27const_2epair_2e_2c_27__02(s__02(c_27type_2enum_2enum_27__00,c_27const_2enum_2e0_27__00),s__02(c_27type_2esptree_2espt_27__01(V_27A_27),c_27const_2esptree_2eLN_27__00))),s__02(c_27type_2elist_2elist_27__01(V_27A_27),V_27l_27))))) ) ) ) ).
fof('thm.data_to_word_gcProof.FOLDL_LENGTH_LEMMA',axiom,
! [V_27A_27,V__2] :
( ! [V_27d_27,V_27i_27,V_27t_27,V_27a_27] : s__02(c_27type_2epair_2eprod_27__02(c_27type_2enum_2enum_27__00,c_27type_2esptree_2espt_27__01(V_27A_27)),chapp__02(s__02(cfun__02(V_27A_27,c_27type_2epair_2eprod_27__02(c_27type_2enum_2enum_27__00,c_27type_2esptree_2espt_27__01(V_27A_27))),chapp__02(s__02(cfun__02(c_27type_2esptree_2espt_27__01(V_27A_27),cfun__02(V_27A_27,c_27type_2epair_2eprod_27__02(c_27type_2enum_2enum_27__00,c_27type_2esptree_2espt_27__01(V_27A_27)))),chapp__02(s__02(cfun__02(c_27type_2enum_2enum_27__00,cfun__02(c_27type_2esptree_2espt_27__01(V_27A_27),cfun__02(V_27A_27,c_27type_2epair_2eprod_27__02(c_27type_2enum_2enum_27__00,c_27type_2esptree_2espt_27__01(V_27A_27))))),chapp__02(s__02(cfun__02(c_27type_2enum_2enum_27__00,cfun__02(c_27type_2enum_2enum_27__00,cfun__02(c_27type_2esptree_2espt_27__01(V_27A_27),cfun__02(V_27A_27,c_27type_2epair_2eprod_27__02(c_27type_2enum_2enum_27__00,c_27type_2esptree_2espt_27__01(V_27A_27)))))),V__2),s__02(c_27type_2enum_2enum_27__00,V_27d_27))),s__02(c_27type_2enum_2enum_27__00,V_27i_27))),s__02(c_27type_2esptree_2espt_27__01(V_27A_27),V_27t_27))),s__02(V_27A_27,V_27a_27))) = s__02(c_27type_2epair_2eprod_27__02(c_27type_2enum_2enum_27__00,c_27type_2esptree_2espt_27__01(V_27A_27)),c_27const_2epair_2e_2c_27__02(s__02(c_27type_2enum_2enum_27__00,c_27const_2earithmetic_2e_2b_27__02(s__02(c_27type_2enum_2enum_27__00,V_27i_27),s__02(c_27type_2enum_2enum_27__00,V_27d_27))),s__02(c_27type_2esptree_2espt_27__01(V_27A_27),c_27const_2esptree_2einsert_27__03(s__02(c_27type_2enum_2enum_27__00,V_27i_27),s__02(V_27A_27,V_27a_27),s__02(c_27type_2esptree_2espt_27__01(V_27A_27),V_27t_27)))))
=> ! [V__1] :
( ! [V_27d_27,V_27i_27,V_27t_27] : s__02(cfun__02(V_27A_27,c_27type_2epair_2eprod_27__02(c_27type_2enum_2enum_27__00,c_27type_2esptree_2espt_27__01(V_27A_27))),chapp__02(s__02(cfun__02(c_27type_2esptree_2espt_27__01(V_27A_27),cfun__02(V_27A_27,c_27type_2epair_2eprod_27__02(c_27type_2enum_2enum_27__00,c_27type_2esptree_2espt_27__01(V_27A_27)))),chapp__02(s__02(cfun__02(c_27type_2enum_2enum_27__00,cfun__02(c_27type_2esptree_2espt_27__01(V_27A_27),cfun__02(V_27A_27,c_27type_2epair_2eprod_27__02(c_27type_2enum_2enum_27__00,c_27type_2esptree_2espt_27__01(V_27A_27))))),chapp__02(s__02(cfun__02(c_27type_2enum_2enum_27__00,cfun__02(c_27type_2enum_2enum_27__00,cfun__02(c_27type_2esptree_2espt_27__01(V_27A_27),cfun__02(V_27A_27,c_27type_2epair_2eprod_27__02(c_27type_2enum_2enum_27__00,c_27type_2esptree_2espt_27__01(V_27A_27)))))),V__1),s__02(c_27type_2enum_2enum_27__00,V_27d_27))),s__02(c_27type_2enum_2enum_27__00,V_27i_27))),s__02(c_27type_2esptree_2espt_27__01(V_27A_27),V_27t_27))) = s__02(cfun__02(V_27A_27,c_27type_2epair_2eprod_27__02(c_27type_2enum_2enum_27__00,c_27type_2esptree_2espt_27__01(V_27A_27))),chapp__02(s__02(cfun__02(c_27type_2esptree_2espt_27__01(V_27A_27),cfun__02(V_27A_27,c_27type_2epair_2eprod_27__02(c_27type_2enum_2enum_27__00,c_27type_2esptree_2espt_27__01(V_27A_27)))),chapp__02(s__02(cfun__02(c_27type_2enum_2enum_27__00,cfun__02(c_27type_2esptree_2espt_27__01(V_27A_27),cfun__02(V_27A_27,c_27type_2epair_2eprod_27__02(c_27type_2enum_2enum_27__00,c_27type_2esptree_2espt_27__01(V_27A_27))))),chapp__02(s__02(cfun__02(c_27type_2enum_2enum_27__00,cfun__02(c_27type_2enum_2enum_27__00,cfun__02(c_27type_2esptree_2espt_27__01(V_27A_27),cfun__02(V_27A_27,c_27type_2epair_2eprod_27__02(c_27type_2enum_2enum_27__00,c_27type_2esptree_2espt_27__01(V_27A_27)))))),V__2),s__02(c_27type_2enum_2enum_27__00,V_27d_27))),s__02(c_27type_2enum_2enum_27__00,V_27i_27))),s__02(c_27type_2esptree_2espt_27__01(V_27A_27),V_27t_27)))
=> ! [V__0] :
( ! [V_27d_27,V_27i_27] : s__02(cfun__02(c_27type_2esptree_2espt_27__01(V_27A_27),cfun__02(V_27A_27,c_27type_2epair_2eprod_27__02(c_27type_2enum_2enum_27__00,c_27type_2esptree_2espt_27__01(V_27A_27)))),chapp__02(s__02(cfun__02(c_27type_2enum_2enum_27__00,cfun__02(c_27type_2esptree_2espt_27__01(V_27A_27),cfun__02(V_27A_27,c_27type_2epair_2eprod_27__02(c_27type_2enum_2enum_27__00,c_27type_2esptree_2espt_27__01(V_27A_27))))),chapp__02(s__02(cfun__02(c_27type_2enum_2enum_27__00,cfun__02(c_27type_2enum_2enum_27__00,cfun__02(c_27type_2esptree_2espt_27__01(V_27A_27),cfun__02(V_27A_27,c_27type_2epair_2eprod_27__02(c_27type_2enum_2enum_27__00,c_27type_2esptree_2espt_27__01(V_27A_27)))))),V__0),s__02(c_27type_2enum_2enum_27__00,V_27d_27))),s__02(c_27type_2enum_2enum_27__00,V_27i_27))) = s__02(cfun__02(c_27type_2esptree_2espt_27__01(V_27A_27),cfun__02(V_27A_27,c_27type_2epair_2eprod_27__02(c_27type_2enum_2enum_27__00,c_27type_2esptree_2espt_27__01(V_27A_27)))),chapp__02(s__02(cfun__02(c_27type_2enum_2enum_27__00,cfun__02(c_27type_2esptree_2espt_27__01(V_27A_27),cfun__02(V_27A_27,c_27type_2epair_2eprod_27__02(c_27type_2enum_2enum_27__00,c_27type_2esptree_2espt_27__01(V_27A_27))))),chapp__02(s__02(cfun__02(c_27type_2enum_2enum_27__00,cfun__02(c_27type_2enum_2enum_27__00,cfun__02(c_27type_2esptree_2espt_27__01(V_27A_27),cfun__02(V_27A_27,c_27type_2epair_2eprod_27__02(c_27type_2enum_2enum_27__00,c_27type_2esptree_2espt_27__01(V_27A_27)))))),V__1),s__02(c_27type_2enum_2enum_27__00,V_27d_27))),s__02(c_27type_2enum_2enum_27__00,V_27i_27)))
=> ! [V_27xs_27,V_27k_27,V_27l_27,V_27d_27,V_27q_27,V_27r_27] :
( s__02(c_27type_2epair_2eprod_27__02(c_27type_2enum_2enum_27__00,c_27type_2esptree_2espt_27__01(V_27A_27)),c_27const_2elist_2eFOLDL_27__03(s__02(cfun__02(c_27type_2epair_2eprod_27__02(c_27type_2enum_2enum_27__00,c_27type_2esptree_2espt_27__01(V_27A_27)),cfun__02(V_27A_27,c_27type_2epair_2eprod_27__02(c_27type_2enum_2enum_27__00,c_27type_2esptree_2espt_27__01(V_27A_27)))),c_27const_2epair_2eUNCURRY_27__01(s__02(cfun__02(c_27type_2enum_2enum_27__00,cfun__02(c_27type_2esptree_2espt_27__01(V_27A_27),cfun__02(V_27A_27,c_27type_2epair_2eprod_27__02(c_27type_2enum_2enum_27__00,c_27type_2esptree_2espt_27__01(V_27A_27))))),chapp__02(s__02(cfun__02(c_27type_2enum_2enum_27__00,cfun__02(c_27type_2enum_2enum_27__00,cfun__02(c_27type_2esptree_2espt_27__01(V_27A_27),cfun__02(V_27A_27,c_27type_2epair_2eprod_27__02(c_27type_2enum_2enum_27__00,c_27type_2esptree_2espt_27__01(V_27A_27)))))),V__0),s__02(c_27type_2enum_2enum_27__00,V_27d_27))))),s__02(c_27type_2epair_2eprod_27__02(c_27type_2enum_2enum_27__00,c_27type_2esptree_2espt_27__01(V_27A_27)),c_27const_2epair_2e_2c_27__02(s__02(c_27type_2enum_2enum_27__00,V_27k_27),s__02(c_27type_2esptree_2espt_27__01(V_27A_27),V_27l_27))),s__02(c_27type_2elist_2elist_27__01(V_27A_27),V_27xs_27))) = s__02(c_27type_2epair_2eprod_27__02(c_27type_2enum_2enum_27__00,c_27type_2esptree_2espt_27__01(V_27A_27)),c_27const_2epair_2e_2c_27__02(s__02(c_27type_2enum_2enum_27__00,V_27q_27),s__02(c_27type_2esptree_2espt_27__01(V_27A_27),V_27r_27)))
=> s__02(c_27type_2enum_2enum_27__00,V_27q_27) = s__02(c_27type_2enum_2enum_27__00,c_27const_2earithmetic_2e_2b_27__02(s__02(c_27type_2enum_2enum_27__00,c_27const_2earithmetic_2e_2a_27__02(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_2enum_2enum_27__00,V_27d_27))),s__02(c_27type_2enum_2enum_27__00,V_27k_27))) ) ) ) ) ).
fof(conjecture,conjecture,
! [V_27A_27,V_27xs_27,V_27y_27] : s__02(c_27type_2esptree_2espt_27__01(V_27A_27),c_27const_2esptree_2efromList_27__01(s__02(c_27type_2elist_2elist_27__01(V_27A_27),c_27const_2elist_2eSNOC_27__02(s__02(V_27A_27,V_27y_27),s__02(c_27type_2elist_2elist_27__01(V_27A_27),V_27xs_27))))) = s__02(c_27type_2esptree_2espt_27__01(V_27A_27),c_27const_2esptree_2einsert_27__03(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(V_27A_27,V_27y_27),s__02(c_27type_2esptree_2espt_27__01(V_27A_27),c_27const_2esptree_2efromList_27__01(s__02(c_27type_2elist_2elist_27__01(V_27A_27),V_27xs_27))))) ).
%------------------------------------------------------------------------------