ITP001 Axioms: ITP059+5.ax
%------------------------------------------------------------------------------
% File : ITP059+5 : TPTP v8.2.0. Bugfixed v7.5.0.
% Domain : Interactive Theorem Proving
% Axioms : HOL4 set theory export, chainy mode
% Version : [BG+19] axioms.
% English :
% Refs : [BG+19] Brown et al. (2019), GRUNGE: A Grand Unified ATP Chall
% : [Gau20] Gauthier (2020), Email to Geoff Sutcliffe
% Source : [BG+19]
% Names : ASCIInumbers+2.ax [Gau20]
% : HL4059+5.ax [TPAP]
% Status : Satisfiable
% Syntax : Number of formulae : 59 ( 36 unt; 0 def)
% Number of atoms : 196 ( 82 equ)
% Maximal formula atoms : 27 ( 3 avg)
% Number of connectives : 137 ( 0 ~; 0 |; 77 &)
% ( 4 <=>; 56 =>; 0 <=; 0 <~>)
% Maximal formula depth : 28 ( 4 avg)
% Maximal term depth : 34 ( 3 avg)
% Number of predicates : 3 ( 2 usr; 0 prp; 1-2 aty)
% Number of functors : 75 ( 75 usr; 50 con; 0-3 aty)
% Number of variables : 53 ( 53 !; 0 ?)
% SPC : FOF_SAT_RFO_SEQ
% Comments :
% Bugfixes : v7.5.0 - Fixes to the axioms.
%------------------------------------------------------------------------------
fof(mem_c_2EASCIInumbers_2EHEX,axiom,
mem(c_2EASCIInumbers_2EHEX,arr(ty_2Enum_2Enum,ty_2Estring_2Echar)) ).
fof(mem_c_2EASCIInumbers_2EUNHEX,axiom,
mem(c_2EASCIInumbers_2EUNHEX,arr(ty_2Estring_2Echar,ty_2Enum_2Enum)) ).
fof(mem_c_2EASCIInumbers_2EfromBinString,axiom,
mem(c_2EASCIInumbers_2EfromBinString,arr(ty_2Elist_2Elist(ty_2Estring_2Echar),ty_2Eoption_2Eoption(ty_2Enum_2Enum))) ).
fof(mem_c_2EASCIInumbers_2EfromDecString,axiom,
mem(c_2EASCIInumbers_2EfromDecString,arr(ty_2Elist_2Elist(ty_2Estring_2Echar),ty_2Eoption_2Eoption(ty_2Enum_2Enum))) ).
fof(mem_c_2EASCIInumbers_2EfromHexString,axiom,
mem(c_2EASCIInumbers_2EfromHexString,arr(ty_2Elist_2Elist(ty_2Estring_2Echar),ty_2Eoption_2Eoption(ty_2Enum_2Enum))) ).
fof(mem_c_2EASCIInumbers_2En2s,axiom,
mem(c_2EASCIInumbers_2En2s,arr(ty_2Enum_2Enum,arr(arr(ty_2Enum_2Enum,ty_2Estring_2Echar),arr(ty_2Enum_2Enum,ty_2Elist_2Elist(ty_2Estring_2Echar))))) ).
fof(mem_c_2EASCIInumbers_2Enum__from__bin__string,axiom,
mem(c_2EASCIInumbers_2Enum__from__bin__string,arr(ty_2Elist_2Elist(ty_2Estring_2Echar),ty_2Enum_2Enum)) ).
fof(mem_c_2EASCIInumbers_2Enum__from__dec__string,axiom,
mem(c_2EASCIInumbers_2Enum__from__dec__string,arr(ty_2Elist_2Elist(ty_2Estring_2Echar),ty_2Enum_2Enum)) ).
fof(mem_c_2EASCIInumbers_2Enum__from__hex__string,axiom,
mem(c_2EASCIInumbers_2Enum__from__hex__string,arr(ty_2Elist_2Elist(ty_2Estring_2Echar),ty_2Enum_2Enum)) ).
fof(mem_c_2EASCIInumbers_2Enum__from__oct__string,axiom,
mem(c_2EASCIInumbers_2Enum__from__oct__string,arr(ty_2Elist_2Elist(ty_2Estring_2Echar),ty_2Enum_2Enum)) ).
fof(mem_c_2EASCIInumbers_2Enum__to__bin__string,axiom,
mem(c_2EASCIInumbers_2Enum__to__bin__string,arr(ty_2Enum_2Enum,ty_2Elist_2Elist(ty_2Estring_2Echar))) ).
fof(mem_c_2EASCIInumbers_2Enum__to__dec__string,axiom,
mem(c_2EASCIInumbers_2Enum__to__dec__string,arr(ty_2Enum_2Enum,ty_2Elist_2Elist(ty_2Estring_2Echar))) ).
fof(mem_c_2EASCIInumbers_2Enum__to__hex__string,axiom,
mem(c_2EASCIInumbers_2Enum__to__hex__string,arr(ty_2Enum_2Enum,ty_2Elist_2Elist(ty_2Estring_2Echar))) ).
fof(mem_c_2EASCIInumbers_2Enum__to__oct__string,axiom,
mem(c_2EASCIInumbers_2Enum__to__oct__string,arr(ty_2Enum_2Enum,ty_2Elist_2Elist(ty_2Estring_2Echar))) ).
fof(mem_c_2EASCIInumbers_2Es2n,axiom,
mem(c_2EASCIInumbers_2Es2n,arr(ty_2Enum_2Enum,arr(arr(ty_2Estring_2Echar,ty_2Enum_2Enum),arr(ty_2Elist_2Elist(ty_2Estring_2Echar),ty_2Enum_2Enum)))) ).
fof(ax_thm_2EASCIInumbers_2Es2n__def,axiom,
! [V0b] :
( mem(V0b,ty_2Enum_2Enum)
=> ! [V1f] :
( mem(V1f,arr(ty_2Estring_2Echar,ty_2Enum_2Enum))
=> ! [V2s] :
( mem(V2s,ty_2Elist_2Elist(ty_2Estring_2Echar))
=> ap(ap(ap(c_2EASCIInumbers_2Es2n,V0b),V1f),V2s) = ap(ap(c_2Enumposrep_2El2n,V0b),ap(ap(c_2Elist_2EMAP(ty_2Estring_2Echar,ty_2Enum_2Enum),V1f),ap(c_2Elist_2EREVERSE(ty_2Estring_2Echar),V2s))) ) ) ) ).
fof(ax_thm_2EASCIInumbers_2En2s__def,axiom,
! [V0b] :
( mem(V0b,ty_2Enum_2Enum)
=> ! [V1f] :
( mem(V1f,arr(ty_2Enum_2Enum,ty_2Estring_2Echar))
=> ! [V2n] :
( mem(V2n,ty_2Enum_2Enum)
=> ap(ap(ap(c_2EASCIInumbers_2En2s,V0b),V1f),V2n) = ap(c_2Elist_2EREVERSE(ty_2Estring_2Echar),ap(ap(c_2Elist_2EMAP(ty_2Enum_2Enum,ty_2Estring_2Echar),V1f),ap(ap(c_2Enumposrep_2En2l,V0b),V2n))) ) ) ) ).
fof(lameq_f1887,axiom,
! [V0R] : ap(f1887,V0R) = ap(c_2Erelation_2EWF(ty_2Enum_2Enum),V0R) ).
fof(lameq_f1888,axiom,
! [V3v] : ap(f1888,V3v) = ap(ap(ap(c_2Ebool_2ECOND(ty_2Estring_2Echar),ap(ap(c_2Emin_2E_3D(ty_2Enum_2Enum),V3v),c_2Enum_2E0)),ap(c_2Ecombin_2EI(ty_2Estring_2Echar),ap(c_2Estring_2ECHR,ap(c_2Earithmetic_2ENUMERAL,ap(c_2Earithmetic_2EBIT2,ap(c_2Earithmetic_2EBIT1,ap(c_2Earithmetic_2EBIT1,ap(c_2Earithmetic_2EBIT1,ap(c_2Earithmetic_2EBIT2,c_2Earithmetic_2EZERO))))))))),ap(ap(ap(c_2Ebool_2ECOND(ty_2Estring_2Echar),ap(ap(c_2Emin_2E_3D(ty_2Enum_2Enum),V3v),ap(c_2Earithmetic_2ENUMERAL,ap(c_2Earithmetic_2EBIT1,c_2Earithmetic_2EZERO)))),ap(c_2Ecombin_2EI(ty_2Estring_2Echar),ap(c_2Estring_2ECHR,ap(c_2Earithmetic_2ENUMERAL,ap(c_2Earithmetic_2EBIT1,ap(c_2Earithmetic_2EBIT2,ap(c_2Earithmetic_2EBIT1,ap(c_2Earithmetic_2EBIT1,ap(c_2Earithmetic_2EBIT2,c_2Earithmetic_2EZERO))))))))),ap(ap(ap(c_2Ebool_2ECOND(ty_2Estring_2Echar),ap(ap(c_2Emin_2E_3D(ty_2Enum_2Enum),V3v),ap(c_2Earithmetic_2ENUMERAL,ap(c_2Earithmetic_2EBIT2,c_2Earithmetic_2EZERO)))),ap(c_2Ecombin_2EI(ty_2Estring_2Echar),ap(c_2Estring_2ECHR,ap(c_2Earithmetic_2ENUMERAL,ap(c_2Earithmetic_2EBIT2,ap(c_2Earithmetic_2EBIT2,ap(c_2Earithmetic_2EBIT1,ap(c_2Earithmetic_2EBIT1,ap(c_2Earithmetic_2EBIT2,c_2Earithmetic_2EZERO))))))))),ap(ap(ap(c_2Ebool_2ECOND(ty_2Estring_2Echar),ap(ap(c_2Emin_2E_3D(ty_2Enum_2Enum),V3v),ap(c_2Earithmetic_2ENUMERAL,ap(c_2Earithmetic_2EBIT1,ap(c_2Earithmetic_2EBIT1,c_2Earithmetic_2EZERO))))),ap(c_2Ecombin_2EI(ty_2Estring_2Echar),ap(c_2Estring_2ECHR,ap(c_2Earithmetic_2ENUMERAL,ap(c_2Earithmetic_2EBIT1,ap(c_2Earithmetic_2EBIT1,ap(c_2Earithmetic_2EBIT2,ap(c_2Earithmetic_2EBIT1,ap(c_2Earithmetic_2EBIT2,c_2Earithmetic_2EZERO))))))))),ap(ap(ap(c_2Ebool_2ECOND(ty_2Estring_2Echar),ap(ap(c_2Emin_2E_3D(ty_2Enum_2Enum),V3v),ap(c_2Earithmetic_2ENUMERAL,ap(c_2Earithmetic_2EBIT2,ap(c_2Earithmetic_2EBIT1,c_2Earithmetic_2EZERO))))),ap(c_2Ecombin_2EI(ty_2Estring_2Echar),ap(c_2Estring_2ECHR,ap(c_2Earithmetic_2ENUMERAL,ap(c_2Earithmetic_2EBIT2,ap(c_2Earithmetic_2EBIT1,ap(c_2Earithmetic_2EBIT2,ap(c_2Earithmetic_2EBIT1,ap(c_2Earithmetic_2EBIT2,c_2Earithmetic_2EZERO))))))))),ap(ap(ap(c_2Ebool_2ECOND(ty_2Estring_2Echar),ap(ap(c_2Emin_2E_3D(ty_2Enum_2Enum),V3v),ap(c_2Earithmetic_2ENUMERAL,ap(c_2Earithmetic_2EBIT1,ap(c_2Earithmetic_2EBIT2,c_2Earithmetic_2EZERO))))),ap(c_2Ecombin_2EI(ty_2Estring_2Echar),ap(c_2Estring_2ECHR,ap(c_2Earithmetic_2ENUMERAL,ap(c_2Earithmetic_2EBIT1,ap(c_2Earithmetic_2EBIT2,ap(c_2Earithmetic_2EBIT2,ap(c_2Earithmetic_2EBIT1,ap(c_2Earithmetic_2EBIT2,c_2Earithmetic_2EZERO))))))))),ap(ap(ap(c_2Ebool_2ECOND(ty_2Estring_2Echar),ap(ap(c_2Emin_2E_3D(ty_2Enum_2Enum),V3v),ap(c_2Earithmetic_2ENUMERAL,ap(c_2Earithmetic_2EBIT2,ap(c_2Earithmetic_2EBIT2,c_2Earithmetic_2EZERO))))),ap(c_2Ecombin_2EI(ty_2Estring_2Echar),ap(c_2Estring_2ECHR,ap(c_2Earithmetic_2ENUMERAL,ap(c_2Earithmetic_2EBIT2,ap(c_2Earithmetic_2EBIT2,ap(c_2Earithmetic_2EBIT2,ap(c_2Earithmetic_2EBIT1,ap(c_2Earithmetic_2EBIT2,c_2Earithmetic_2EZERO))))))))),ap(ap(ap(c_2Ebool_2ECOND(ty_2Estring_2Echar),ap(ap(c_2Emin_2E_3D(ty_2Enum_2Enum),V3v),ap(c_2Earithmetic_2ENUMERAL,ap(c_2Earithmetic_2EBIT1,ap(c_2Earithmetic_2EBIT1,ap(c_2Earithmetic_2EBIT1,c_2Earithmetic_2EZERO)))))),ap(c_2Ecombin_2EI(ty_2Estring_2Echar),ap(c_2Estring_2ECHR,ap(c_2Earithmetic_2ENUMERAL,ap(c_2Earithmetic_2EBIT1,ap(c_2Earithmetic_2EBIT1,ap(c_2Earithmetic_2EBIT1,ap(c_2Earithmetic_2EBIT2,ap(c_2Earithmetic_2EBIT2,c_2Earithmetic_2EZERO))))))))),ap(ap(ap(c_2Ebool_2ECOND(ty_2Estring_2Echar),ap(ap(c_2Emin_2E_3D(ty_2Enum_2Enum),V3v),ap(c_2Earithmetic_2ENUMERAL,ap(c_2Earithmetic_2EBIT2,ap(c_2Earithmetic_2EBIT1,ap(c_2Earithmetic_2EBIT1,c_2Earithmetic_2EZERO)))))),ap(c_2Ecombin_2EI(ty_2Estring_2Echar),ap(c_2Estring_2ECHR,ap(c_2Earithmetic_2ENUMERAL,ap(c_2Earithmetic_2EBIT2,ap(c_2Earithmetic_2EBIT1,ap(c_2Earithmetic_2EBIT1,ap(c_2Earithmetic_2EBIT2,ap(c_2Earithmetic_2EBIT2,c_2Earithmetic_2EZERO))))))))),ap(ap(ap(c_2Ebool_2ECOND(ty_2Estring_2Echar),ap(ap(c_2Emin_2E_3D(ty_2Enum_2Enum),V3v),ap(c_2Earithmetic_2ENUMERAL,ap(c_2Earithmetic_2EBIT1,ap(c_2Earithmetic_2EBIT2,ap(c_2Earithmetic_2EBIT1,c_2Earithmetic_2EZERO)))))),ap(c_2Ecombin_2EI(ty_2Estring_2Echar),ap(c_2Estring_2ECHR,ap(c_2Earithmetic_2ENUMERAL,ap(c_2Earithmetic_2EBIT1,ap(c_2Earithmetic_2EBIT2,ap(c_2Earithmetic_2EBIT1,ap(c_2Earithmetic_2EBIT2,ap(c_2Earithmetic_2EBIT2,c_2Earithmetic_2EZERO))))))))),ap(ap(ap(c_2Ebool_2ECOND(ty_2Estring_2Echar),ap(ap(c_2Emin_2E_3D(ty_2Enum_2Enum),V3v),ap(c_2Earithmetic_2ENUMERAL,ap(c_2Earithmetic_2EBIT2,ap(c_2Earithmetic_2EBIT2,ap(c_2Earithmetic_2EBIT1,c_2Earithmetic_2EZERO)))))),ap(c_2Ecombin_2EI(ty_2Estring_2Echar),ap(c_2Estring_2ECHR,ap(c_2Earithmetic_2ENUMERAL,ap(c_2Earithmetic_2EBIT1,ap(c_2Earithmetic_2EBIT2,ap(c_2Earithmetic_2EBIT1,ap(c_2Earithmetic_2EBIT1,ap(c_2Earithmetic_2EBIT1,ap(c_2Earithmetic_2EBIT1,c_2Earithmetic_2EZERO)))))))))),ap(ap(ap(c_2Ebool_2ECOND(ty_2Estring_2Echar),ap(ap(c_2Emin_2E_3D(ty_2Enum_2Enum),V3v),ap(c_2Earithmetic_2ENUMERAL,ap(c_2Earithmetic_2EBIT1,ap(c_2Earithmetic_2EBIT1,ap(c_2Earithmetic_2EBIT2,c_2Earithmetic_2EZERO)))))),ap(c_2Ecombin_2EI(ty_2Estring_2Echar),ap(c_2Estring_2ECHR,ap(c_2Earithmetic_2ENUMERAL,ap(c_2Earithmetic_2EBIT2,ap(c_2Earithmetic_2EBIT2,ap(c_2Earithmetic_2EBIT1,ap(c_2Earithmetic_2EBIT1,ap(c_2Earithmetic_2EBIT1,ap(c_2Earithmetic_2EBIT1,c_2Earithmetic_2EZERO)))))))))),ap(ap(ap(c_2Ebool_2ECOND(ty_2Estring_2Echar),ap(ap(c_2Emin_2E_3D(ty_2Enum_2Enum),V3v),ap(c_2Earithmetic_2ENUMERAL,ap(c_2Earithmetic_2EBIT2,ap(c_2Earithmetic_2EBIT1,ap(c_2Earithmetic_2EBIT2,c_2Earithmetic_2EZERO)))))),ap(c_2Ecombin_2EI(ty_2Estring_2Echar),ap(c_2Estring_2ECHR,ap(c_2Earithmetic_2ENUMERAL,ap(c_2Earithmetic_2EBIT1,ap(c_2Earithmetic_2EBIT1,ap(c_2Earithmetic_2EBIT2,ap(c_2Earithmetic_2EBIT1,ap(c_2Earithmetic_2EBIT1,ap(c_2Earithmetic_2EBIT1,c_2Earithmetic_2EZERO)))))))))),ap(ap(ap(c_2Ebool_2ECOND(ty_2Estring_2Echar),ap(ap(c_2Emin_2E_3D(ty_2Enum_2Enum),V3v),ap(c_2Earithmetic_2ENUMERAL,ap(c_2Earithmetic_2EBIT1,ap(c_2Earithmetic_2EBIT2,ap(c_2Earithmetic_2EBIT2,c_2Earithmetic_2EZERO)))))),ap(c_2Ecombin_2EI(ty_2Estring_2Echar),ap(c_2Estring_2ECHR,ap(c_2Earithmetic_2ENUMERAL,ap(c_2Earithmetic_2EBIT2,ap(c_2Earithmetic_2EBIT1,ap(c_2Earithmetic_2EBIT2,ap(c_2Earithmetic_2EBIT1,ap(c_2Earithmetic_2EBIT1,ap(c_2Earithmetic_2EBIT1,c_2Earithmetic_2EZERO)))))))))),ap(ap(ap(c_2Ebool_2ECOND(ty_2Estring_2Echar),ap(ap(c_2Emin_2E_3D(ty_2Enum_2Enum),V3v),ap(c_2Earithmetic_2ENUMERAL,ap(c_2Earithmetic_2EBIT2,ap(c_2Earithmetic_2EBIT2,ap(c_2Earithmetic_2EBIT2,c_2Earithmetic_2EZERO)))))),ap(c_2Ecombin_2EI(ty_2Estring_2Echar),ap(c_2Estring_2ECHR,ap(c_2Earithmetic_2ENUMERAL,ap(c_2Earithmetic_2EBIT1,ap(c_2Earithmetic_2EBIT2,ap(c_2Earithmetic_2EBIT2,ap(c_2Earithmetic_2EBIT1,ap(c_2Earithmetic_2EBIT1,ap(c_2Earithmetic_2EBIT1,c_2Earithmetic_2EZERO)))))))))),ap(ap(ap(c_2Ebool_2ECOND(ty_2Estring_2Echar),ap(ap(c_2Emin_2E_3D(ty_2Enum_2Enum),V3v),ap(c_2Earithmetic_2ENUMERAL,ap(c_2Earithmetic_2EBIT1,ap(c_2Earithmetic_2EBIT1,ap(c_2Earithmetic_2EBIT1,ap(c_2Earithmetic_2EBIT1,c_2Earithmetic_2EZERO))))))),ap(c_2Ecombin_2EI(ty_2Estring_2Echar),ap(c_2Estring_2ECHR,ap(c_2Earithmetic_2ENUMERAL,ap(c_2Earithmetic_2EBIT2,ap(c_2Earithmetic_2EBIT2,ap(c_2Earithmetic_2EBIT2,ap(c_2Earithmetic_2EBIT1,ap(c_2Earithmetic_2EBIT1,ap(c_2Earithmetic_2EBIT1,c_2Earithmetic_2EZERO)))))))))),c_2Ebool_2EARB(ty_2Estring_2Echar))))))))))))))))) ).
fof(lameq_f1889,axiom,
! [V2a] : ap(f1889,V2a) = ap(ap(c_2Ebool_2Eliteral__case(ty_2Enum_2Enum,ty_2Estring_2Echar),f1888),V2a) ).
fof(ax_thm_2EASCIInumbers_2EHEX__primitive__def,axiom,
c_2EASCIInumbers_2EHEX = ap(ap(c_2Erelation_2EWFREC(ty_2Enum_2Enum,ty_2Estring_2Echar),ap(c_2Emin_2E_40(arr(ty_2Enum_2Enum,arr(ty_2Enum_2Enum,bool))),f1887)),k(arr(ty_2Enum_2Enum,ty_2Estring_2Echar),f1889)) ).
fof(conj_thm_2EASCIInumbers_2EHEX__ind,axiom,
! [V0P] :
( mem(V0P,arr(ty_2Enum_2Enum,bool))
=> ( ( p(ap(V0P,c_2Enum_2E0))
& p(ap(V0P,ap(c_2Earithmetic_2ENUMERAL,ap(c_2Earithmetic_2EBIT1,c_2Earithmetic_2EZERO))))
& p(ap(V0P,ap(c_2Earithmetic_2ENUMERAL,ap(c_2Earithmetic_2EBIT2,c_2Earithmetic_2EZERO))))
& p(ap(V0P,ap(c_2Earithmetic_2ENUMERAL,ap(c_2Earithmetic_2EBIT1,ap(c_2Earithmetic_2EBIT1,c_2Earithmetic_2EZERO)))))
& p(ap(V0P,ap(c_2Earithmetic_2ENUMERAL,ap(c_2Earithmetic_2EBIT2,ap(c_2Earithmetic_2EBIT1,c_2Earithmetic_2EZERO)))))
& p(ap(V0P,ap(c_2Earithmetic_2ENUMERAL,ap(c_2Earithmetic_2EBIT1,ap(c_2Earithmetic_2EBIT2,c_2Earithmetic_2EZERO)))))
& p(ap(V0P,ap(c_2Earithmetic_2ENUMERAL,ap(c_2Earithmetic_2EBIT2,ap(c_2Earithmetic_2EBIT2,c_2Earithmetic_2EZERO)))))
& p(ap(V0P,ap(c_2Earithmetic_2ENUMERAL,ap(c_2Earithmetic_2EBIT1,ap(c_2Earithmetic_2EBIT1,ap(c_2Earithmetic_2EBIT1,c_2Earithmetic_2EZERO))))))
& p(ap(V0P,ap(c_2Earithmetic_2ENUMERAL,ap(c_2Earithmetic_2EBIT2,ap(c_2Earithmetic_2EBIT1,ap(c_2Earithmetic_2EBIT1,c_2Earithmetic_2EZERO))))))
& p(ap(V0P,ap(c_2Earithmetic_2ENUMERAL,ap(c_2Earithmetic_2EBIT1,ap(c_2Earithmetic_2EBIT2,ap(c_2Earithmetic_2EBIT1,c_2Earithmetic_2EZERO))))))
& p(ap(V0P,ap(c_2Earithmetic_2ENUMERAL,ap(c_2Earithmetic_2EBIT2,ap(c_2Earithmetic_2EBIT2,ap(c_2Earithmetic_2EBIT1,c_2Earithmetic_2EZERO))))))
& p(ap(V0P,ap(c_2Earithmetic_2ENUMERAL,ap(c_2Earithmetic_2EBIT1,ap(c_2Earithmetic_2EBIT1,ap(c_2Earithmetic_2EBIT2,c_2Earithmetic_2EZERO))))))
& p(ap(V0P,ap(c_2Earithmetic_2ENUMERAL,ap(c_2Earithmetic_2EBIT2,ap(c_2Earithmetic_2EBIT1,ap(c_2Earithmetic_2EBIT2,c_2Earithmetic_2EZERO))))))
& p(ap(V0P,ap(c_2Earithmetic_2ENUMERAL,ap(c_2Earithmetic_2EBIT1,ap(c_2Earithmetic_2EBIT2,ap(c_2Earithmetic_2EBIT2,c_2Earithmetic_2EZERO))))))
& p(ap(V0P,ap(c_2Earithmetic_2ENUMERAL,ap(c_2Earithmetic_2EBIT2,ap(c_2Earithmetic_2EBIT2,ap(c_2Earithmetic_2EBIT2,c_2Earithmetic_2EZERO))))))
& p(ap(V0P,ap(c_2Earithmetic_2ENUMERAL,ap(c_2Earithmetic_2EBIT1,ap(c_2Earithmetic_2EBIT1,ap(c_2Earithmetic_2EBIT1,ap(c_2Earithmetic_2EBIT1,c_2Earithmetic_2EZERO)))))))
& ! [V1v18] :
( mem(V1v18,ty_2Enum_2Enum)
=> p(ap(V0P,V1v18)) ) )
=> ! [V2v] :
( mem(V2v,ty_2Enum_2Enum)
=> p(ap(V0P,V2v)) ) ) ) ).
fof(conj_thm_2EASCIInumbers_2EHEX__def,axiom,
( ap(c_2EASCIInumbers_2EHEX,c_2Enum_2E0) = ap(c_2Estring_2ECHR,ap(c_2Earithmetic_2ENUMERAL,ap(c_2Earithmetic_2EBIT2,ap(c_2Earithmetic_2EBIT1,ap(c_2Earithmetic_2EBIT1,ap(c_2Earithmetic_2EBIT1,ap(c_2Earithmetic_2EBIT2,c_2Earithmetic_2EZERO)))))))
& ap(c_2EASCIInumbers_2EHEX,ap(c_2Earithmetic_2ENUMERAL,ap(c_2Earithmetic_2EBIT1,c_2Earithmetic_2EZERO))) = ap(c_2Estring_2ECHR,ap(c_2Earithmetic_2ENUMERAL,ap(c_2Earithmetic_2EBIT1,ap(c_2Earithmetic_2EBIT2,ap(c_2Earithmetic_2EBIT1,ap(c_2Earithmetic_2EBIT1,ap(c_2Earithmetic_2EBIT2,c_2Earithmetic_2EZERO)))))))
& ap(c_2EASCIInumbers_2EHEX,ap(c_2Earithmetic_2ENUMERAL,ap(c_2Earithmetic_2EBIT2,c_2Earithmetic_2EZERO))) = ap(c_2Estring_2ECHR,ap(c_2Earithmetic_2ENUMERAL,ap(c_2Earithmetic_2EBIT2,ap(c_2Earithmetic_2EBIT2,ap(c_2Earithmetic_2EBIT1,ap(c_2Earithmetic_2EBIT1,ap(c_2Earithmetic_2EBIT2,c_2Earithmetic_2EZERO)))))))
& ap(c_2EASCIInumbers_2EHEX,ap(c_2Earithmetic_2ENUMERAL,ap(c_2Earithmetic_2EBIT1,ap(c_2Earithmetic_2EBIT1,c_2Earithmetic_2EZERO)))) = ap(c_2Estring_2ECHR,ap(c_2Earithmetic_2ENUMERAL,ap(c_2Earithmetic_2EBIT1,ap(c_2Earithmetic_2EBIT1,ap(c_2Earithmetic_2EBIT2,ap(c_2Earithmetic_2EBIT1,ap(c_2Earithmetic_2EBIT2,c_2Earithmetic_2EZERO)))))))
& ap(c_2EASCIInumbers_2EHEX,ap(c_2Earithmetic_2ENUMERAL,ap(c_2Earithmetic_2EBIT2,ap(c_2Earithmetic_2EBIT1,c_2Earithmetic_2EZERO)))) = ap(c_2Estring_2ECHR,ap(c_2Earithmetic_2ENUMERAL,ap(c_2Earithmetic_2EBIT2,ap(c_2Earithmetic_2EBIT1,ap(c_2Earithmetic_2EBIT2,ap(c_2Earithmetic_2EBIT1,ap(c_2Earithmetic_2EBIT2,c_2Earithmetic_2EZERO)))))))
& ap(c_2EASCIInumbers_2EHEX,ap(c_2Earithmetic_2ENUMERAL,ap(c_2Earithmetic_2EBIT1,ap(c_2Earithmetic_2EBIT2,c_2Earithmetic_2EZERO)))) = ap(c_2Estring_2ECHR,ap(c_2Earithmetic_2ENUMERAL,ap(c_2Earithmetic_2EBIT1,ap(c_2Earithmetic_2EBIT2,ap(c_2Earithmetic_2EBIT2,ap(c_2Earithmetic_2EBIT1,ap(c_2Earithmetic_2EBIT2,c_2Earithmetic_2EZERO)))))))
& ap(c_2EASCIInumbers_2EHEX,ap(c_2Earithmetic_2ENUMERAL,ap(c_2Earithmetic_2EBIT2,ap(c_2Earithmetic_2EBIT2,c_2Earithmetic_2EZERO)))) = ap(c_2Estring_2ECHR,ap(c_2Earithmetic_2ENUMERAL,ap(c_2Earithmetic_2EBIT2,ap(c_2Earithmetic_2EBIT2,ap(c_2Earithmetic_2EBIT2,ap(c_2Earithmetic_2EBIT1,ap(c_2Earithmetic_2EBIT2,c_2Earithmetic_2EZERO)))))))
& ap(c_2EASCIInumbers_2EHEX,ap(c_2Earithmetic_2ENUMERAL,ap(c_2Earithmetic_2EBIT1,ap(c_2Earithmetic_2EBIT1,ap(c_2Earithmetic_2EBIT1,c_2Earithmetic_2EZERO))))) = ap(c_2Estring_2ECHR,ap(c_2Earithmetic_2ENUMERAL,ap(c_2Earithmetic_2EBIT1,ap(c_2Earithmetic_2EBIT1,ap(c_2Earithmetic_2EBIT1,ap(c_2Earithmetic_2EBIT2,ap(c_2Earithmetic_2EBIT2,c_2Earithmetic_2EZERO)))))))
& ap(c_2EASCIInumbers_2EHEX,ap(c_2Earithmetic_2ENUMERAL,ap(c_2Earithmetic_2EBIT2,ap(c_2Earithmetic_2EBIT1,ap(c_2Earithmetic_2EBIT1,c_2Earithmetic_2EZERO))))) = ap(c_2Estring_2ECHR,ap(c_2Earithmetic_2ENUMERAL,ap(c_2Earithmetic_2EBIT2,ap(c_2Earithmetic_2EBIT1,ap(c_2Earithmetic_2EBIT1,ap(c_2Earithmetic_2EBIT2,ap(c_2Earithmetic_2EBIT2,c_2Earithmetic_2EZERO)))))))
& ap(c_2EASCIInumbers_2EHEX,ap(c_2Earithmetic_2ENUMERAL,ap(c_2Earithmetic_2EBIT1,ap(c_2Earithmetic_2EBIT2,ap(c_2Earithmetic_2EBIT1,c_2Earithmetic_2EZERO))))) = ap(c_2Estring_2ECHR,ap(c_2Earithmetic_2ENUMERAL,ap(c_2Earithmetic_2EBIT1,ap(c_2Earithmetic_2EBIT2,ap(c_2Earithmetic_2EBIT1,ap(c_2Earithmetic_2EBIT2,ap(c_2Earithmetic_2EBIT2,c_2Earithmetic_2EZERO)))))))
& ap(c_2EASCIInumbers_2EHEX,ap(c_2Earithmetic_2ENUMERAL,ap(c_2Earithmetic_2EBIT2,ap(c_2Earithmetic_2EBIT2,ap(c_2Earithmetic_2EBIT1,c_2Earithmetic_2EZERO))))) = ap(c_2Estring_2ECHR,ap(c_2Earithmetic_2ENUMERAL,ap(c_2Earithmetic_2EBIT1,ap(c_2Earithmetic_2EBIT2,ap(c_2Earithmetic_2EBIT1,ap(c_2Earithmetic_2EBIT1,ap(c_2Earithmetic_2EBIT1,ap(c_2Earithmetic_2EBIT1,c_2Earithmetic_2EZERO))))))))
& ap(c_2EASCIInumbers_2EHEX,ap(c_2Earithmetic_2ENUMERAL,ap(c_2Earithmetic_2EBIT1,ap(c_2Earithmetic_2EBIT1,ap(c_2Earithmetic_2EBIT2,c_2Earithmetic_2EZERO))))) = ap(c_2Estring_2ECHR,ap(c_2Earithmetic_2ENUMERAL,ap(c_2Earithmetic_2EBIT2,ap(c_2Earithmetic_2EBIT2,ap(c_2Earithmetic_2EBIT1,ap(c_2Earithmetic_2EBIT1,ap(c_2Earithmetic_2EBIT1,ap(c_2Earithmetic_2EBIT1,c_2Earithmetic_2EZERO))))))))
& ap(c_2EASCIInumbers_2EHEX,ap(c_2Earithmetic_2ENUMERAL,ap(c_2Earithmetic_2EBIT2,ap(c_2Earithmetic_2EBIT1,ap(c_2Earithmetic_2EBIT2,c_2Earithmetic_2EZERO))))) = ap(c_2Estring_2ECHR,ap(c_2Earithmetic_2ENUMERAL,ap(c_2Earithmetic_2EBIT1,ap(c_2Earithmetic_2EBIT1,ap(c_2Earithmetic_2EBIT2,ap(c_2Earithmetic_2EBIT1,ap(c_2Earithmetic_2EBIT1,ap(c_2Earithmetic_2EBIT1,c_2Earithmetic_2EZERO))))))))
& ap(c_2EASCIInumbers_2EHEX,ap(c_2Earithmetic_2ENUMERAL,ap(c_2Earithmetic_2EBIT1,ap(c_2Earithmetic_2EBIT2,ap(c_2Earithmetic_2EBIT2,c_2Earithmetic_2EZERO))))) = ap(c_2Estring_2ECHR,ap(c_2Earithmetic_2ENUMERAL,ap(c_2Earithmetic_2EBIT2,ap(c_2Earithmetic_2EBIT1,ap(c_2Earithmetic_2EBIT2,ap(c_2Earithmetic_2EBIT1,ap(c_2Earithmetic_2EBIT1,ap(c_2Earithmetic_2EBIT1,c_2Earithmetic_2EZERO))))))))
& ap(c_2EASCIInumbers_2EHEX,ap(c_2Earithmetic_2ENUMERAL,ap(c_2Earithmetic_2EBIT2,ap(c_2Earithmetic_2EBIT2,ap(c_2Earithmetic_2EBIT2,c_2Earithmetic_2EZERO))))) = ap(c_2Estring_2ECHR,ap(c_2Earithmetic_2ENUMERAL,ap(c_2Earithmetic_2EBIT1,ap(c_2Earithmetic_2EBIT2,ap(c_2Earithmetic_2EBIT2,ap(c_2Earithmetic_2EBIT1,ap(c_2Earithmetic_2EBIT1,ap(c_2Earithmetic_2EBIT1,c_2Earithmetic_2EZERO))))))))
& ap(c_2EASCIInumbers_2EHEX,ap(c_2Earithmetic_2ENUMERAL,ap(c_2Earithmetic_2EBIT1,ap(c_2Earithmetic_2EBIT1,ap(c_2Earithmetic_2EBIT1,ap(c_2Earithmetic_2EBIT1,c_2Earithmetic_2EZERO)))))) = ap(c_2Estring_2ECHR,ap(c_2Earithmetic_2ENUMERAL,ap(c_2Earithmetic_2EBIT2,ap(c_2Earithmetic_2EBIT2,ap(c_2Earithmetic_2EBIT2,ap(c_2Earithmetic_2EBIT1,ap(c_2Earithmetic_2EBIT1,ap(c_2Earithmetic_2EBIT1,c_2Earithmetic_2EZERO)))))))) ) ).
fof(lameq_f1890,axiom,
! [V0R] : ap(f1890,V0R) = ap(c_2Erelation_2EWF(ty_2Estring_2Echar),V0R) ).
fof(lameq_f1891,axiom,
! [V3v] : ap(f1891,V3v) = ap(ap(ap(c_2Ebool_2ECOND(ty_2Enum_2Enum),ap(ap(c_2Emin_2E_3D(ty_2Estring_2Echar),V3v),ap(c_2Estring_2ECHR,ap(c_2Earithmetic_2ENUMERAL,ap(c_2Earithmetic_2EBIT2,ap(c_2Earithmetic_2EBIT1,ap(c_2Earithmetic_2EBIT1,ap(c_2Earithmetic_2EBIT1,ap(c_2Earithmetic_2EBIT2,c_2Earithmetic_2EZERO))))))))),ap(c_2Ecombin_2EI(ty_2Enum_2Enum),c_2Enum_2E0)),ap(ap(ap(c_2Ebool_2ECOND(ty_2Enum_2Enum),ap(ap(c_2Emin_2E_3D(ty_2Estring_2Echar),V3v),ap(c_2Estring_2ECHR,ap(c_2Earithmetic_2ENUMERAL,ap(c_2Earithmetic_2EBIT1,ap(c_2Earithmetic_2EBIT2,ap(c_2Earithmetic_2EBIT1,ap(c_2Earithmetic_2EBIT1,ap(c_2Earithmetic_2EBIT2,c_2Earithmetic_2EZERO))))))))),ap(c_2Ecombin_2EI(ty_2Enum_2Enum),ap(c_2Earithmetic_2ENUMERAL,ap(c_2Earithmetic_2EBIT1,c_2Earithmetic_2EZERO)))),ap(ap(ap(c_2Ebool_2ECOND(ty_2Enum_2Enum),ap(ap(c_2Emin_2E_3D(ty_2Estring_2Echar),V3v),ap(c_2Estring_2ECHR,ap(c_2Earithmetic_2ENUMERAL,ap(c_2Earithmetic_2EBIT2,ap(c_2Earithmetic_2EBIT2,ap(c_2Earithmetic_2EBIT1,ap(c_2Earithmetic_2EBIT1,ap(c_2Earithmetic_2EBIT2,c_2Earithmetic_2EZERO))))))))),ap(c_2Ecombin_2EI(ty_2Enum_2Enum),ap(c_2Earithmetic_2ENUMERAL,ap(c_2Earithmetic_2EBIT2,c_2Earithmetic_2EZERO)))),ap(ap(ap(c_2Ebool_2ECOND(ty_2Enum_2Enum),ap(ap(c_2Emin_2E_3D(ty_2Estring_2Echar),V3v),ap(c_2Estring_2ECHR,ap(c_2Earithmetic_2ENUMERAL,ap(c_2Earithmetic_2EBIT1,ap(c_2Earithmetic_2EBIT1,ap(c_2Earithmetic_2EBIT2,ap(c_2Earithmetic_2EBIT1,ap(c_2Earithmetic_2EBIT2,c_2Earithmetic_2EZERO))))))))),ap(c_2Ecombin_2EI(ty_2Enum_2Enum),ap(c_2Earithmetic_2ENUMERAL,ap(c_2Earithmetic_2EBIT1,ap(c_2Earithmetic_2EBIT1,c_2Earithmetic_2EZERO))))),ap(ap(ap(c_2Ebool_2ECOND(ty_2Enum_2Enum),ap(ap(c_2Emin_2E_3D(ty_2Estring_2Echar),V3v),ap(c_2Estring_2ECHR,ap(c_2Earithmetic_2ENUMERAL,ap(c_2Earithmetic_2EBIT2,ap(c_2Earithmetic_2EBIT1,ap(c_2Earithmetic_2EBIT2,ap(c_2Earithmetic_2EBIT1,ap(c_2Earithmetic_2EBIT2,c_2Earithmetic_2EZERO))))))))),ap(c_2Ecombin_2EI(ty_2Enum_2Enum),ap(c_2Earithmetic_2ENUMERAL,ap(c_2Earithmetic_2EBIT2,ap(c_2Earithmetic_2EBIT1,c_2Earithmetic_2EZERO))))),ap(ap(ap(c_2Ebool_2ECOND(ty_2Enum_2Enum),ap(ap(c_2Emin_2E_3D(ty_2Estring_2Echar),V3v),ap(c_2Estring_2ECHR,ap(c_2Earithmetic_2ENUMERAL,ap(c_2Earithmetic_2EBIT1,ap(c_2Earithmetic_2EBIT2,ap(c_2Earithmetic_2EBIT2,ap(c_2Earithmetic_2EBIT1,ap(c_2Earithmetic_2EBIT2,c_2Earithmetic_2EZERO))))))))),ap(c_2Ecombin_2EI(ty_2Enum_2Enum),ap(c_2Earithmetic_2ENUMERAL,ap(c_2Earithmetic_2EBIT1,ap(c_2Earithmetic_2EBIT2,c_2Earithmetic_2EZERO))))),ap(ap(ap(c_2Ebool_2ECOND(ty_2Enum_2Enum),ap(ap(c_2Emin_2E_3D(ty_2Estring_2Echar),V3v),ap(c_2Estring_2ECHR,ap(c_2Earithmetic_2ENUMERAL,ap(c_2Earithmetic_2EBIT2,ap(c_2Earithmetic_2EBIT2,ap(c_2Earithmetic_2EBIT2,ap(c_2Earithmetic_2EBIT1,ap(c_2Earithmetic_2EBIT2,c_2Earithmetic_2EZERO))))))))),ap(c_2Ecombin_2EI(ty_2Enum_2Enum),ap(c_2Earithmetic_2ENUMERAL,ap(c_2Earithmetic_2EBIT2,ap(c_2Earithmetic_2EBIT2,c_2Earithmetic_2EZERO))))),ap(ap(ap(c_2Ebool_2ECOND(ty_2Enum_2Enum),ap(ap(c_2Emin_2E_3D(ty_2Estring_2Echar),V3v),ap(c_2Estring_2ECHR,ap(c_2Earithmetic_2ENUMERAL,ap(c_2Earithmetic_2EBIT1,ap(c_2Earithmetic_2EBIT1,ap(c_2Earithmetic_2EBIT1,ap(c_2Earithmetic_2EBIT2,ap(c_2Earithmetic_2EBIT2,c_2Earithmetic_2EZERO))))))))),ap(c_2Ecombin_2EI(ty_2Enum_2Enum),ap(c_2Earithmetic_2ENUMERAL,ap(c_2Earithmetic_2EBIT1,ap(c_2Earithmetic_2EBIT1,ap(c_2Earithmetic_2EBIT1,c_2Earithmetic_2EZERO)))))),ap(ap(ap(c_2Ebool_2ECOND(ty_2Enum_2Enum),ap(ap(c_2Emin_2E_3D(ty_2Estring_2Echar),V3v),ap(c_2Estring_2ECHR,ap(c_2Earithmetic_2ENUMERAL,ap(c_2Earithmetic_2EBIT2,ap(c_2Earithmetic_2EBIT1,ap(c_2Earithmetic_2EBIT1,ap(c_2Earithmetic_2EBIT2,ap(c_2Earithmetic_2EBIT2,c_2Earithmetic_2EZERO))))))))),ap(c_2Ecombin_2EI(ty_2Enum_2Enum),ap(c_2Earithmetic_2ENUMERAL,ap(c_2Earithmetic_2EBIT2,ap(c_2Earithmetic_2EBIT1,ap(c_2Earithmetic_2EBIT1,c_2Earithmetic_2EZERO)))))),ap(ap(ap(c_2Ebool_2ECOND(ty_2Enum_2Enum),ap(ap(c_2Emin_2E_3D(ty_2Estring_2Echar),V3v),ap(c_2Estring_2ECHR,ap(c_2Earithmetic_2ENUMERAL,ap(c_2Earithmetic_2EBIT1,ap(c_2Earithmetic_2EBIT2,ap(c_2Earithmetic_2EBIT1,ap(c_2Earithmetic_2EBIT2,ap(c_2Earithmetic_2EBIT2,c_2Earithmetic_2EZERO))))))))),ap(c_2Ecombin_2EI(ty_2Enum_2Enum),ap(c_2Earithmetic_2ENUMERAL,ap(c_2Earithmetic_2EBIT1,ap(c_2Earithmetic_2EBIT2,ap(c_2Earithmetic_2EBIT1,c_2Earithmetic_2EZERO)))))),ap(ap(ap(c_2Ebool_2ECOND(ty_2Enum_2Enum),ap(ap(c_2Emin_2E_3D(ty_2Estring_2Echar),V3v),ap(c_2Estring_2ECHR,ap(c_2Earithmetic_2ENUMERAL,ap(c_2Earithmetic_2EBIT1,ap(c_2Earithmetic_2EBIT2,ap(c_2Earithmetic_2EBIT1,ap(c_2Earithmetic_2EBIT1,ap(c_2Earithmetic_2EBIT1,ap(c_2Earithmetic_2EBIT2,c_2Earithmetic_2EZERO)))))))))),ap(c_2Ecombin_2EI(ty_2Enum_2Enum),ap(c_2Earithmetic_2ENUMERAL,ap(c_2Earithmetic_2EBIT2,ap(c_2Earithmetic_2EBIT2,ap(c_2Earithmetic_2EBIT1,c_2Earithmetic_2EZERO)))))),ap(ap(ap(c_2Ebool_2ECOND(ty_2Enum_2Enum),ap(ap(c_2Emin_2E_3D(ty_2Estring_2Echar),V3v),ap(c_2Estring_2ECHR,ap(c_2Earithmetic_2ENUMERAL,ap(c_2Earithmetic_2EBIT2,ap(c_2Earithmetic_2EBIT2,ap(c_2Earithmetic_2EBIT1,ap(c_2Earithmetic_2EBIT1,ap(c_2Earithmetic_2EBIT1,ap(c_2Earithmetic_2EBIT2,c_2Earithmetic_2EZERO)))))))))),ap(c_2Ecombin_2EI(ty_2Enum_2Enum),ap(c_2Earithmetic_2ENUMERAL,ap(c_2Earithmetic_2EBIT1,ap(c_2Earithmetic_2EBIT1,ap(c_2Earithmetic_2EBIT2,c_2Earithmetic_2EZERO)))))),ap(ap(ap(c_2Ebool_2ECOND(ty_2Enum_2Enum),ap(ap(c_2Emin_2E_3D(ty_2Estring_2Echar),V3v),ap(c_2Estring_2ECHR,ap(c_2Earithmetic_2ENUMERAL,ap(c_2Earithmetic_2EBIT1,ap(c_2Earithmetic_2EBIT1,ap(c_2Earithmetic_2EBIT2,ap(c_2Earithmetic_2EBIT1,ap(c_2Earithmetic_2EBIT1,ap(c_2Earithmetic_2EBIT2,c_2Earithmetic_2EZERO)))))))))),ap(c_2Ecombin_2EI(ty_2Enum_2Enum),ap(c_2Earithmetic_2ENUMERAL,ap(c_2Earithmetic_2EBIT2,ap(c_2Earithmetic_2EBIT1,ap(c_2Earithmetic_2EBIT2,c_2Earithmetic_2EZERO)))))),ap(ap(ap(c_2Ebool_2ECOND(ty_2Enum_2Enum),ap(ap(c_2Emin_2E_3D(ty_2Estring_2Echar),V3v),ap(c_2Estring_2ECHR,ap(c_2Earithmetic_2ENUMERAL,ap(c_2Earithmetic_2EBIT2,ap(c_2Earithmetic_2EBIT1,ap(c_2Earithmetic_2EBIT2,ap(c_2Earithmetic_2EBIT1,ap(c_2Earithmetic_2EBIT1,ap(c_2Earithmetic_2EBIT2,c_2Earithmetic_2EZERO)))))))))),ap(c_2Ecombin_2EI(ty_2Enum_2Enum),ap(c_2Earithmetic_2ENUMERAL,ap(c_2Earithmetic_2EBIT1,ap(c_2Earithmetic_2EBIT2,ap(c_2Earithmetic_2EBIT2,c_2Earithmetic_2EZERO)))))),ap(ap(ap(c_2Ebool_2ECOND(ty_2Enum_2Enum),ap(ap(c_2Emin_2E_3D(ty_2Estring_2Echar),V3v),ap(c_2Estring_2ECHR,ap(c_2Earithmetic_2ENUMERAL,ap(c_2Earithmetic_2EBIT1,ap(c_2Earithmetic_2EBIT2,ap(c_2Earithmetic_2EBIT2,ap(c_2Earithmetic_2EBIT1,ap(c_2Earithmetic_2EBIT1,ap(c_2Earithmetic_2EBIT2,c_2Earithmetic_2EZERO)))))))))),ap(c_2Ecombin_2EI(ty_2Enum_2Enum),ap(c_2Earithmetic_2ENUMERAL,ap(c_2Earithmetic_2EBIT2,ap(c_2Earithmetic_2EBIT2,ap(c_2Earithmetic_2EBIT2,c_2Earithmetic_2EZERO)))))),ap(ap(ap(c_2Ebool_2ECOND(ty_2Enum_2Enum),ap(ap(c_2Emin_2E_3D(ty_2Estring_2Echar),V3v),ap(c_2Estring_2ECHR,ap(c_2Earithmetic_2ENUMERAL,ap(c_2Earithmetic_2EBIT2,ap(c_2Earithmetic_2EBIT2,ap(c_2Earithmetic_2EBIT2,ap(c_2Earithmetic_2EBIT1,ap(c_2Earithmetic_2EBIT1,ap(c_2Earithmetic_2EBIT2,c_2Earithmetic_2EZERO)))))))))),ap(c_2Ecombin_2EI(ty_2Enum_2Enum),ap(c_2Earithmetic_2ENUMERAL,ap(c_2Earithmetic_2EBIT1,ap(c_2Earithmetic_2EBIT1,ap(c_2Earithmetic_2EBIT1,ap(c_2Earithmetic_2EBIT1,c_2Earithmetic_2EZERO))))))),ap(ap(ap(c_2Ebool_2ECOND(ty_2Enum_2Enum),ap(ap(c_2Emin_2E_3D(ty_2Estring_2Echar),V3v),ap(c_2Estring_2ECHR,ap(c_2Earithmetic_2ENUMERAL,ap(c_2Earithmetic_2EBIT1,ap(c_2Earithmetic_2EBIT2,ap(c_2Earithmetic_2EBIT1,ap(c_2Earithmetic_2EBIT1,ap(c_2Earithmetic_2EBIT1,ap(c_2Earithmetic_2EBIT1,c_2Earithmetic_2EZERO)))))))))),ap(c_2Ecombin_2EI(ty_2Enum_2Enum),ap(c_2Earithmetic_2ENUMERAL,ap(c_2Earithmetic_2EBIT2,ap(c_2Earithmetic_2EBIT2,ap(c_2Earithmetic_2EBIT1,c_2Earithmetic_2EZERO)))))),ap(ap(ap(c_2Ebool_2ECOND(ty_2Enum_2Enum),ap(ap(c_2Emin_2E_3D(ty_2Estring_2Echar),V3v),ap(c_2Estring_2ECHR,ap(c_2Earithmetic_2ENUMERAL,ap(c_2Earithmetic_2EBIT2,ap(c_2Earithmetic_2EBIT2,ap(c_2Earithmetic_2EBIT1,ap(c_2Earithmetic_2EBIT1,ap(c_2Earithmetic_2EBIT1,ap(c_2Earithmetic_2EBIT1,c_2Earithmetic_2EZERO)))))))))),ap(c_2Ecombin_2EI(ty_2Enum_2Enum),ap(c_2Earithmetic_2ENUMERAL,ap(c_2Earithmetic_2EBIT1,ap(c_2Earithmetic_2EBIT1,ap(c_2Earithmetic_2EBIT2,c_2Earithmetic_2EZERO)))))),ap(ap(ap(c_2Ebool_2ECOND(ty_2Enum_2Enum),ap(ap(c_2Emin_2E_3D(ty_2Estring_2Echar),V3v),ap(c_2Estring_2ECHR,ap(c_2Earithmetic_2ENUMERAL,ap(c_2Earithmetic_2EBIT1,ap(c_2Earithmetic_2EBIT1,ap(c_2Earithmetic_2EBIT2,ap(c_2Earithmetic_2EBIT1,ap(c_2Earithmetic_2EBIT1,ap(c_2Earithmetic_2EBIT1,c_2Earithmetic_2EZERO)))))))))),ap(c_2Ecombin_2EI(ty_2Enum_2Enum),ap(c_2Earithmetic_2ENUMERAL,ap(c_2Earithmetic_2EBIT2,ap(c_2Earithmetic_2EBIT1,ap(c_2Earithmetic_2EBIT2,c_2Earithmetic_2EZERO)))))),ap(ap(ap(c_2Ebool_2ECOND(ty_2Enum_2Enum),ap(ap(c_2Emin_2E_3D(ty_2Estring_2Echar),V3v),ap(c_2Estring_2ECHR,ap(c_2Earithmetic_2ENUMERAL,ap(c_2Earithmetic_2EBIT2,ap(c_2Earithmetic_2EBIT1,ap(c_2Earithmetic_2EBIT2,ap(c_2Earithmetic_2EBIT1,ap(c_2Earithmetic_2EBIT1,ap(c_2Earithmetic_2EBIT1,c_2Earithmetic_2EZERO)))))))))),ap(c_2Ecombin_2EI(ty_2Enum_2Enum),ap(c_2Earithmetic_2ENUMERAL,ap(c_2Earithmetic_2EBIT1,ap(c_2Earithmetic_2EBIT2,ap(c_2Earithmetic_2EBIT2,c_2Earithmetic_2EZERO)))))),ap(ap(ap(c_2Ebool_2ECOND(ty_2Enum_2Enum),ap(ap(c_2Emin_2E_3D(ty_2Estring_2Echar),V3v),ap(c_2Estring_2ECHR,ap(c_2Earithmetic_2ENUMERAL,ap(c_2Earithmetic_2EBIT1,ap(c_2Earithmetic_2EBIT2,ap(c_2Earithmetic_2EBIT2,ap(c_2Earithmetic_2EBIT1,ap(c_2Earithmetic_2EBIT1,ap(c_2Earithmetic_2EBIT1,c_2Earithmetic_2EZERO)))))))))),ap(c_2Ecombin_2EI(ty_2Enum_2Enum),ap(c_2Earithmetic_2ENUMERAL,ap(c_2Earithmetic_2EBIT2,ap(c_2Earithmetic_2EBIT2,ap(c_2Earithmetic_2EBIT2,c_2Earithmetic_2EZERO)))))),ap(ap(ap(c_2Ebool_2ECOND(ty_2Enum_2Enum),ap(ap(c_2Emin_2E_3D(ty_2Estring_2Echar),V3v),ap(c_2Estring_2ECHR,ap(c_2Earithmetic_2ENUMERAL,ap(c_2Earithmetic_2EBIT2,ap(c_2Earithmetic_2EBIT2,ap(c_2Earithmetic_2EBIT2,ap(c_2Earithmetic_2EBIT1,ap(c_2Earithmetic_2EBIT1,ap(c_2Earithmetic_2EBIT1,c_2Earithmetic_2EZERO)))))))))),ap(c_2Ecombin_2EI(ty_2Enum_2Enum),ap(c_2Earithmetic_2ENUMERAL,ap(c_2Earithmetic_2EBIT1,ap(c_2Earithmetic_2EBIT1,ap(c_2Earithmetic_2EBIT1,ap(c_2Earithmetic_2EBIT1,c_2Earithmetic_2EZERO))))))),c_2Ebool_2EARB(ty_2Enum_2Enum))))))))))))))))))))))) ).
fof(lameq_f1892,axiom,
! [V2a] : ap(f1892,V2a) = ap(ap(c_2Ebool_2Eliteral__case(ty_2Estring_2Echar,ty_2Enum_2Enum),f1891),V2a) ).
fof(ax_thm_2EASCIInumbers_2EUNHEX__primitive__def,axiom,
c_2EASCIInumbers_2EUNHEX = ap(ap(c_2Erelation_2EWFREC(ty_2Estring_2Echar,ty_2Enum_2Enum),ap(c_2Emin_2E_40(arr(ty_2Estring_2Echar,arr(ty_2Estring_2Echar,bool))),f1890)),k(arr(ty_2Estring_2Echar,ty_2Enum_2Enum),f1892)) ).
fof(conj_thm_2EASCIInumbers_2EUNHEX__ind,axiom,
! [V0P] :
( mem(V0P,arr(ty_2Estring_2Echar,bool))
=> ( ( p(ap(V0P,ap(c_2Estring_2ECHR,ap(c_2Earithmetic_2ENUMERAL,ap(c_2Earithmetic_2EBIT2,ap(c_2Earithmetic_2EBIT1,ap(c_2Earithmetic_2EBIT1,ap(c_2Earithmetic_2EBIT1,ap(c_2Earithmetic_2EBIT2,c_2Earithmetic_2EZERO)))))))))
& p(ap(V0P,ap(c_2Estring_2ECHR,ap(c_2Earithmetic_2ENUMERAL,ap(c_2Earithmetic_2EBIT1,ap(c_2Earithmetic_2EBIT2,ap(c_2Earithmetic_2EBIT1,ap(c_2Earithmetic_2EBIT1,ap(c_2Earithmetic_2EBIT2,c_2Earithmetic_2EZERO)))))))))
& p(ap(V0P,ap(c_2Estring_2ECHR,ap(c_2Earithmetic_2ENUMERAL,ap(c_2Earithmetic_2EBIT2,ap(c_2Earithmetic_2EBIT2,ap(c_2Earithmetic_2EBIT1,ap(c_2Earithmetic_2EBIT1,ap(c_2Earithmetic_2EBIT2,c_2Earithmetic_2EZERO)))))))))
& p(ap(V0P,ap(c_2Estring_2ECHR,ap(c_2Earithmetic_2ENUMERAL,ap(c_2Earithmetic_2EBIT1,ap(c_2Earithmetic_2EBIT1,ap(c_2Earithmetic_2EBIT2,ap(c_2Earithmetic_2EBIT1,ap(c_2Earithmetic_2EBIT2,c_2Earithmetic_2EZERO)))))))))
& p(ap(V0P,ap(c_2Estring_2ECHR,ap(c_2Earithmetic_2ENUMERAL,ap(c_2Earithmetic_2EBIT2,ap(c_2Earithmetic_2EBIT1,ap(c_2Earithmetic_2EBIT2,ap(c_2Earithmetic_2EBIT1,ap(c_2Earithmetic_2EBIT2,c_2Earithmetic_2EZERO)))))))))
& p(ap(V0P,ap(c_2Estring_2ECHR,ap(c_2Earithmetic_2ENUMERAL,ap(c_2Earithmetic_2EBIT1,ap(c_2Earithmetic_2EBIT2,ap(c_2Earithmetic_2EBIT2,ap(c_2Earithmetic_2EBIT1,ap(c_2Earithmetic_2EBIT2,c_2Earithmetic_2EZERO)))))))))
& p(ap(V0P,ap(c_2Estring_2ECHR,ap(c_2Earithmetic_2ENUMERAL,ap(c_2Earithmetic_2EBIT2,ap(c_2Earithmetic_2EBIT2,ap(c_2Earithmetic_2EBIT2,ap(c_2Earithmetic_2EBIT1,ap(c_2Earithmetic_2EBIT2,c_2Earithmetic_2EZERO)))))))))
& p(ap(V0P,ap(c_2Estring_2ECHR,ap(c_2Earithmetic_2ENUMERAL,ap(c_2Earithmetic_2EBIT1,ap(c_2Earithmetic_2EBIT1,ap(c_2Earithmetic_2EBIT1,ap(c_2Earithmetic_2EBIT2,ap(c_2Earithmetic_2EBIT2,c_2Earithmetic_2EZERO)))))))))
& p(ap(V0P,ap(c_2Estring_2ECHR,ap(c_2Earithmetic_2ENUMERAL,ap(c_2Earithmetic_2EBIT2,ap(c_2Earithmetic_2EBIT1,ap(c_2Earithmetic_2EBIT1,ap(c_2Earithmetic_2EBIT2,ap(c_2Earithmetic_2EBIT2,c_2Earithmetic_2EZERO)))))))))
& p(ap(V0P,ap(c_2Estring_2ECHR,ap(c_2Earithmetic_2ENUMERAL,ap(c_2Earithmetic_2EBIT1,ap(c_2Earithmetic_2EBIT2,ap(c_2Earithmetic_2EBIT1,ap(c_2Earithmetic_2EBIT2,ap(c_2Earithmetic_2EBIT2,c_2Earithmetic_2EZERO)))))))))
& p(ap(V0P,ap(c_2Estring_2ECHR,ap(c_2Earithmetic_2ENUMERAL,ap(c_2Earithmetic_2EBIT1,ap(c_2Earithmetic_2EBIT2,ap(c_2Earithmetic_2EBIT1,ap(c_2Earithmetic_2EBIT1,ap(c_2Earithmetic_2EBIT1,ap(c_2Earithmetic_2EBIT2,c_2Earithmetic_2EZERO))))))))))
& p(ap(V0P,ap(c_2Estring_2ECHR,ap(c_2Earithmetic_2ENUMERAL,ap(c_2Earithmetic_2EBIT2,ap(c_2Earithmetic_2EBIT2,ap(c_2Earithmetic_2EBIT1,ap(c_2Earithmetic_2EBIT1,ap(c_2Earithmetic_2EBIT1,ap(c_2Earithmetic_2EBIT2,c_2Earithmetic_2EZERO))))))))))
& p(ap(V0P,ap(c_2Estring_2ECHR,ap(c_2Earithmetic_2ENUMERAL,ap(c_2Earithmetic_2EBIT1,ap(c_2Earithmetic_2EBIT1,ap(c_2Earithmetic_2EBIT2,ap(c_2Earithmetic_2EBIT1,ap(c_2Earithmetic_2EBIT1,ap(c_2Earithmetic_2EBIT2,c_2Earithmetic_2EZERO))))))))))
& p(ap(V0P,ap(c_2Estring_2ECHR,ap(c_2Earithmetic_2ENUMERAL,ap(c_2Earithmetic_2EBIT2,ap(c_2Earithmetic_2EBIT1,ap(c_2Earithmetic_2EBIT2,ap(c_2Earithmetic_2EBIT1,ap(c_2Earithmetic_2EBIT1,ap(c_2Earithmetic_2EBIT2,c_2Earithmetic_2EZERO))))))))))
& p(ap(V0P,ap(c_2Estring_2ECHR,ap(c_2Earithmetic_2ENUMERAL,ap(c_2Earithmetic_2EBIT1,ap(c_2Earithmetic_2EBIT2,ap(c_2Earithmetic_2EBIT2,ap(c_2Earithmetic_2EBIT1,ap(c_2Earithmetic_2EBIT1,ap(c_2Earithmetic_2EBIT2,c_2Earithmetic_2EZERO))))))))))
& p(ap(V0P,ap(c_2Estring_2ECHR,ap(c_2Earithmetic_2ENUMERAL,ap(c_2Earithmetic_2EBIT2,ap(c_2Earithmetic_2EBIT2,ap(c_2Earithmetic_2EBIT2,ap(c_2Earithmetic_2EBIT1,ap(c_2Earithmetic_2EBIT1,ap(c_2Earithmetic_2EBIT2,c_2Earithmetic_2EZERO))))))))))
& p(ap(V0P,ap(c_2Estring_2ECHR,ap(c_2Earithmetic_2ENUMERAL,ap(c_2Earithmetic_2EBIT1,ap(c_2Earithmetic_2EBIT2,ap(c_2Earithmetic_2EBIT1,ap(c_2Earithmetic_2EBIT1,ap(c_2Earithmetic_2EBIT1,ap(c_2Earithmetic_2EBIT1,c_2Earithmetic_2EZERO))))))))))
& p(ap(V0P,ap(c_2Estring_2ECHR,ap(c_2Earithmetic_2ENUMERAL,ap(c_2Earithmetic_2EBIT2,ap(c_2Earithmetic_2EBIT2,ap(c_2Earithmetic_2EBIT1,ap(c_2Earithmetic_2EBIT1,ap(c_2Earithmetic_2EBIT1,ap(c_2Earithmetic_2EBIT1,c_2Earithmetic_2EZERO))))))))))
& p(ap(V0P,ap(c_2Estring_2ECHR,ap(c_2Earithmetic_2ENUMERAL,ap(c_2Earithmetic_2EBIT1,ap(c_2Earithmetic_2EBIT1,ap(c_2Earithmetic_2EBIT2,ap(c_2Earithmetic_2EBIT1,ap(c_2Earithmetic_2EBIT1,ap(c_2Earithmetic_2EBIT1,c_2Earithmetic_2EZERO))))))))))
& p(ap(V0P,ap(c_2Estring_2ECHR,ap(c_2Earithmetic_2ENUMERAL,ap(c_2Earithmetic_2EBIT2,ap(c_2Earithmetic_2EBIT1,ap(c_2Earithmetic_2EBIT2,ap(c_2Earithmetic_2EBIT1,ap(c_2Earithmetic_2EBIT1,ap(c_2Earithmetic_2EBIT1,c_2Earithmetic_2EZERO))))))))))
& p(ap(V0P,ap(c_2Estring_2ECHR,ap(c_2Earithmetic_2ENUMERAL,ap(c_2Earithmetic_2EBIT1,ap(c_2Earithmetic_2EBIT2,ap(c_2Earithmetic_2EBIT2,ap(c_2Earithmetic_2EBIT1,ap(c_2Earithmetic_2EBIT1,ap(c_2Earithmetic_2EBIT1,c_2Earithmetic_2EZERO))))))))))
& p(ap(V0P,ap(c_2Estring_2ECHR,ap(c_2Earithmetic_2ENUMERAL,ap(c_2Earithmetic_2EBIT2,ap(c_2Earithmetic_2EBIT2,ap(c_2Earithmetic_2EBIT2,ap(c_2Earithmetic_2EBIT1,ap(c_2Earithmetic_2EBIT1,ap(c_2Earithmetic_2EBIT1,c_2Earithmetic_2EZERO))))))))))
& ! [V1v24] :
( mem(V1v24,ty_2Estring_2Echar)
=> p(ap(V0P,V1v24)) ) )
=> ! [V2v] :
( mem(V2v,ty_2Estring_2Echar)
=> p(ap(V0P,V2v)) ) ) ) ).
fof(conj_thm_2EASCIInumbers_2EUNHEX__def,axiom,
( ap(c_2EASCIInumbers_2EUNHEX,ap(c_2Estring_2ECHR,ap(c_2Earithmetic_2ENUMERAL,ap(c_2Earithmetic_2EBIT2,ap(c_2Earithmetic_2EBIT1,ap(c_2Earithmetic_2EBIT1,ap(c_2Earithmetic_2EBIT1,ap(c_2Earithmetic_2EBIT2,c_2Earithmetic_2EZERO)))))))) = c_2Enum_2E0
& ap(c_2EASCIInumbers_2EUNHEX,ap(c_2Estring_2ECHR,ap(c_2Earithmetic_2ENUMERAL,ap(c_2Earithmetic_2EBIT1,ap(c_2Earithmetic_2EBIT2,ap(c_2Earithmetic_2EBIT1,ap(c_2Earithmetic_2EBIT1,ap(c_2Earithmetic_2EBIT2,c_2Earithmetic_2EZERO)))))))) = ap(c_2Earithmetic_2ENUMERAL,ap(c_2Earithmetic_2EBIT1,c_2Earithmetic_2EZERO))
& ap(c_2EASCIInumbers_2EUNHEX,ap(c_2Estring_2ECHR,ap(c_2Earithmetic_2ENUMERAL,ap(c_2Earithmetic_2EBIT2,ap(c_2Earithmetic_2EBIT2,ap(c_2Earithmetic_2EBIT1,ap(c_2Earithmetic_2EBIT1,ap(c_2Earithmetic_2EBIT2,c_2Earithmetic_2EZERO)))))))) = ap(c_2Earithmetic_2ENUMERAL,ap(c_2Earithmetic_2EBIT2,c_2Earithmetic_2EZERO))
& ap(c_2EASCIInumbers_2EUNHEX,ap(c_2Estring_2ECHR,ap(c_2Earithmetic_2ENUMERAL,ap(c_2Earithmetic_2EBIT1,ap(c_2Earithmetic_2EBIT1,ap(c_2Earithmetic_2EBIT2,ap(c_2Earithmetic_2EBIT1,ap(c_2Earithmetic_2EBIT2,c_2Earithmetic_2EZERO)))))))) = ap(c_2Earithmetic_2ENUMERAL,ap(c_2Earithmetic_2EBIT1,ap(c_2Earithmetic_2EBIT1,c_2Earithmetic_2EZERO)))
& ap(c_2EASCIInumbers_2EUNHEX,ap(c_2Estring_2ECHR,ap(c_2Earithmetic_2ENUMERAL,ap(c_2Earithmetic_2EBIT2,ap(c_2Earithmetic_2EBIT1,ap(c_2Earithmetic_2EBIT2,ap(c_2Earithmetic_2EBIT1,ap(c_2Earithmetic_2EBIT2,c_2Earithmetic_2EZERO)))))))) = ap(c_2Earithmetic_2ENUMERAL,ap(c_2Earithmetic_2EBIT2,ap(c_2Earithmetic_2EBIT1,c_2Earithmetic_2EZERO)))
& ap(c_2EASCIInumbers_2EUNHEX,ap(c_2Estring_2ECHR,ap(c_2Earithmetic_2ENUMERAL,ap(c_2Earithmetic_2EBIT1,ap(c_2Earithmetic_2EBIT2,ap(c_2Earithmetic_2EBIT2,ap(c_2Earithmetic_2EBIT1,ap(c_2Earithmetic_2EBIT2,c_2Earithmetic_2EZERO)))))))) = ap(c_2Earithmetic_2ENUMERAL,ap(c_2Earithmetic_2EBIT1,ap(c_2Earithmetic_2EBIT2,c_2Earithmetic_2EZERO)))
& ap(c_2EASCIInumbers_2EUNHEX,ap(c_2Estring_2ECHR,ap(c_2Earithmetic_2ENUMERAL,ap(c_2Earithmetic_2EBIT2,ap(c_2Earithmetic_2EBIT2,ap(c_2Earithmetic_2EBIT2,ap(c_2Earithmetic_2EBIT1,ap(c_2Earithmetic_2EBIT2,c_2Earithmetic_2EZERO)))))))) = ap(c_2Earithmetic_2ENUMERAL,ap(c_2Earithmetic_2EBIT2,ap(c_2Earithmetic_2EBIT2,c_2Earithmetic_2EZERO)))
& ap(c_2EASCIInumbers_2EUNHEX,ap(c_2Estring_2ECHR,ap(c_2Earithmetic_2ENUMERAL,ap(c_2Earithmetic_2EBIT1,ap(c_2Earithmetic_2EBIT1,ap(c_2Earithmetic_2EBIT1,ap(c_2Earithmetic_2EBIT2,ap(c_2Earithmetic_2EBIT2,c_2Earithmetic_2EZERO)))))))) = ap(c_2Earithmetic_2ENUMERAL,ap(c_2Earithmetic_2EBIT1,ap(c_2Earithmetic_2EBIT1,ap(c_2Earithmetic_2EBIT1,c_2Earithmetic_2EZERO))))
& ap(c_2EASCIInumbers_2EUNHEX,ap(c_2Estring_2ECHR,ap(c_2Earithmetic_2ENUMERAL,ap(c_2Earithmetic_2EBIT2,ap(c_2Earithmetic_2EBIT1,ap(c_2Earithmetic_2EBIT1,ap(c_2Earithmetic_2EBIT2,ap(c_2Earithmetic_2EBIT2,c_2Earithmetic_2EZERO)))))))) = ap(c_2Earithmetic_2ENUMERAL,ap(c_2Earithmetic_2EBIT2,ap(c_2Earithmetic_2EBIT1,ap(c_2Earithmetic_2EBIT1,c_2Earithmetic_2EZERO))))
& ap(c_2EASCIInumbers_2EUNHEX,ap(c_2Estring_2ECHR,ap(c_2Earithmetic_2ENUMERAL,ap(c_2Earithmetic_2EBIT1,ap(c_2Earithmetic_2EBIT2,ap(c_2Earithmetic_2EBIT1,ap(c_2Earithmetic_2EBIT2,ap(c_2Earithmetic_2EBIT2,c_2Earithmetic_2EZERO)))))))) = ap(c_2Earithmetic_2ENUMERAL,ap(c_2Earithmetic_2EBIT1,ap(c_2Earithmetic_2EBIT2,ap(c_2Earithmetic_2EBIT1,c_2Earithmetic_2EZERO))))
& ap(c_2EASCIInumbers_2EUNHEX,ap(c_2Estring_2ECHR,ap(c_2Earithmetic_2ENUMERAL,ap(c_2Earithmetic_2EBIT1,ap(c_2Earithmetic_2EBIT2,ap(c_2Earithmetic_2EBIT1,ap(c_2Earithmetic_2EBIT1,ap(c_2Earithmetic_2EBIT1,ap(c_2Earithmetic_2EBIT2,c_2Earithmetic_2EZERO))))))))) = ap(c_2Earithmetic_2ENUMERAL,ap(c_2Earithmetic_2EBIT2,ap(c_2Earithmetic_2EBIT2,ap(c_2Earithmetic_2EBIT1,c_2Earithmetic_2EZERO))))
& ap(c_2EASCIInumbers_2EUNHEX,ap(c_2Estring_2ECHR,ap(c_2Earithmetic_2ENUMERAL,ap(c_2Earithmetic_2EBIT2,ap(c_2Earithmetic_2EBIT2,ap(c_2Earithmetic_2EBIT1,ap(c_2Earithmetic_2EBIT1,ap(c_2Earithmetic_2EBIT1,ap(c_2Earithmetic_2EBIT2,c_2Earithmetic_2EZERO))))))))) = ap(c_2Earithmetic_2ENUMERAL,ap(c_2Earithmetic_2EBIT1,ap(c_2Earithmetic_2EBIT1,ap(c_2Earithmetic_2EBIT2,c_2Earithmetic_2EZERO))))
& ap(c_2EASCIInumbers_2EUNHEX,ap(c_2Estring_2ECHR,ap(c_2Earithmetic_2ENUMERAL,ap(c_2Earithmetic_2EBIT1,ap(c_2Earithmetic_2EBIT1,ap(c_2Earithmetic_2EBIT2,ap(c_2Earithmetic_2EBIT1,ap(c_2Earithmetic_2EBIT1,ap(c_2Earithmetic_2EBIT2,c_2Earithmetic_2EZERO))))))))) = ap(c_2Earithmetic_2ENUMERAL,ap(c_2Earithmetic_2EBIT2,ap(c_2Earithmetic_2EBIT1,ap(c_2Earithmetic_2EBIT2,c_2Earithmetic_2EZERO))))
& ap(c_2EASCIInumbers_2EUNHEX,ap(c_2Estring_2ECHR,ap(c_2Earithmetic_2ENUMERAL,ap(c_2Earithmetic_2EBIT2,ap(c_2Earithmetic_2EBIT1,ap(c_2Earithmetic_2EBIT2,ap(c_2Earithmetic_2EBIT1,ap(c_2Earithmetic_2EBIT1,ap(c_2Earithmetic_2EBIT2,c_2Earithmetic_2EZERO))))))))) = ap(c_2Earithmetic_2ENUMERAL,ap(c_2Earithmetic_2EBIT1,ap(c_2Earithmetic_2EBIT2,ap(c_2Earithmetic_2EBIT2,c_2Earithmetic_2EZERO))))
& ap(c_2EASCIInumbers_2EUNHEX,ap(c_2Estring_2ECHR,ap(c_2Earithmetic_2ENUMERAL,ap(c_2Earithmetic_2EBIT1,ap(c_2Earithmetic_2EBIT2,ap(c_2Earithmetic_2EBIT2,ap(c_2Earithmetic_2EBIT1,ap(c_2Earithmetic_2EBIT1,ap(c_2Earithmetic_2EBIT2,c_2Earithmetic_2EZERO))))))))) = ap(c_2Earithmetic_2ENUMERAL,ap(c_2Earithmetic_2EBIT2,ap(c_2Earithmetic_2EBIT2,ap(c_2Earithmetic_2EBIT2,c_2Earithmetic_2EZERO))))
& ap(c_2EASCIInumbers_2EUNHEX,ap(c_2Estring_2ECHR,ap(c_2Earithmetic_2ENUMERAL,ap(c_2Earithmetic_2EBIT2,ap(c_2Earithmetic_2EBIT2,ap(c_2Earithmetic_2EBIT2,ap(c_2Earithmetic_2EBIT1,ap(c_2Earithmetic_2EBIT1,ap(c_2Earithmetic_2EBIT2,c_2Earithmetic_2EZERO))))))))) = ap(c_2Earithmetic_2ENUMERAL,ap(c_2Earithmetic_2EBIT1,ap(c_2Earithmetic_2EBIT1,ap(c_2Earithmetic_2EBIT1,ap(c_2Earithmetic_2EBIT1,c_2Earithmetic_2EZERO)))))
& ap(c_2EASCIInumbers_2EUNHEX,ap(c_2Estring_2ECHR,ap(c_2Earithmetic_2ENUMERAL,ap(c_2Earithmetic_2EBIT1,ap(c_2Earithmetic_2EBIT2,ap(c_2Earithmetic_2EBIT1,ap(c_2Earithmetic_2EBIT1,ap(c_2Earithmetic_2EBIT1,ap(c_2Earithmetic_2EBIT1,c_2Earithmetic_2EZERO))))))))) = ap(c_2Earithmetic_2ENUMERAL,ap(c_2Earithmetic_2EBIT2,ap(c_2Earithmetic_2EBIT2,ap(c_2Earithmetic_2EBIT1,c_2Earithmetic_2EZERO))))
& ap(c_2EASCIInumbers_2EUNHEX,ap(c_2Estring_2ECHR,ap(c_2Earithmetic_2ENUMERAL,ap(c_2Earithmetic_2EBIT2,ap(c_2Earithmetic_2EBIT2,ap(c_2Earithmetic_2EBIT1,ap(c_2Earithmetic_2EBIT1,ap(c_2Earithmetic_2EBIT1,ap(c_2Earithmetic_2EBIT1,c_2Earithmetic_2EZERO))))))))) = ap(c_2Earithmetic_2ENUMERAL,ap(c_2Earithmetic_2EBIT1,ap(c_2Earithmetic_2EBIT1,ap(c_2Earithmetic_2EBIT2,c_2Earithmetic_2EZERO))))
& ap(c_2EASCIInumbers_2EUNHEX,ap(c_2Estring_2ECHR,ap(c_2Earithmetic_2ENUMERAL,ap(c_2Earithmetic_2EBIT1,ap(c_2Earithmetic_2EBIT1,ap(c_2Earithmetic_2EBIT2,ap(c_2Earithmetic_2EBIT1,ap(c_2Earithmetic_2EBIT1,ap(c_2Earithmetic_2EBIT1,c_2Earithmetic_2EZERO))))))))) = ap(c_2Earithmetic_2ENUMERAL,ap(c_2Earithmetic_2EBIT2,ap(c_2Earithmetic_2EBIT1,ap(c_2Earithmetic_2EBIT2,c_2Earithmetic_2EZERO))))
& ap(c_2EASCIInumbers_2EUNHEX,ap(c_2Estring_2ECHR,ap(c_2Earithmetic_2ENUMERAL,ap(c_2Earithmetic_2EBIT2,ap(c_2Earithmetic_2EBIT1,ap(c_2Earithmetic_2EBIT2,ap(c_2Earithmetic_2EBIT1,ap(c_2Earithmetic_2EBIT1,ap(c_2Earithmetic_2EBIT1,c_2Earithmetic_2EZERO))))))))) = ap(c_2Earithmetic_2ENUMERAL,ap(c_2Earithmetic_2EBIT1,ap(c_2Earithmetic_2EBIT2,ap(c_2Earithmetic_2EBIT2,c_2Earithmetic_2EZERO))))
& ap(c_2EASCIInumbers_2EUNHEX,ap(c_2Estring_2ECHR,ap(c_2Earithmetic_2ENUMERAL,ap(c_2Earithmetic_2EBIT1,ap(c_2Earithmetic_2EBIT2,ap(c_2Earithmetic_2EBIT2,ap(c_2Earithmetic_2EBIT1,ap(c_2Earithmetic_2EBIT1,ap(c_2Earithmetic_2EBIT1,c_2Earithmetic_2EZERO))))))))) = ap(c_2Earithmetic_2ENUMERAL,ap(c_2Earithmetic_2EBIT2,ap(c_2Earithmetic_2EBIT2,ap(c_2Earithmetic_2EBIT2,c_2Earithmetic_2EZERO))))
& ap(c_2EASCIInumbers_2EUNHEX,ap(c_2Estring_2ECHR,ap(c_2Earithmetic_2ENUMERAL,ap(c_2Earithmetic_2EBIT2,ap(c_2Earithmetic_2EBIT2,ap(c_2Earithmetic_2EBIT2,ap(c_2Earithmetic_2EBIT1,ap(c_2Earithmetic_2EBIT1,ap(c_2Earithmetic_2EBIT1,c_2Earithmetic_2EZERO))))))))) = ap(c_2Earithmetic_2ENUMERAL,ap(c_2Earithmetic_2EBIT1,ap(c_2Earithmetic_2EBIT1,ap(c_2Earithmetic_2EBIT1,ap(c_2Earithmetic_2EBIT1,c_2Earithmetic_2EZERO))))) ) ).
fof(ax_thm_2EASCIInumbers_2Enum__from__bin__string__def,axiom,
c_2EASCIInumbers_2Enum__from__bin__string = ap(ap(c_2EASCIInumbers_2Es2n,ap(c_2Earithmetic_2ENUMERAL,ap(c_2Earithmetic_2EBIT2,c_2Earithmetic_2EZERO))),c_2EASCIInumbers_2EUNHEX) ).
fof(ax_thm_2EASCIInumbers_2Enum__from__oct__string__def,axiom,
c_2EASCIInumbers_2Enum__from__oct__string = ap(ap(c_2EASCIInumbers_2Es2n,ap(c_2Earithmetic_2ENUMERAL,ap(c_2Earithmetic_2EBIT2,ap(c_2Earithmetic_2EBIT1,ap(c_2Earithmetic_2EBIT1,c_2Earithmetic_2EZERO))))),c_2EASCIInumbers_2EUNHEX) ).
fof(ax_thm_2EASCIInumbers_2Enum__from__dec__string__def,axiom,
c_2EASCIInumbers_2Enum__from__dec__string = ap(ap(c_2EASCIInumbers_2Es2n,ap(c_2Earithmetic_2ENUMERAL,ap(c_2Earithmetic_2EBIT2,ap(c_2Earithmetic_2EBIT2,ap(c_2Earithmetic_2EBIT1,c_2Earithmetic_2EZERO))))),c_2EASCIInumbers_2EUNHEX) ).
fof(ax_thm_2EASCIInumbers_2Enum__from__hex__string__def,axiom,
c_2EASCIInumbers_2Enum__from__hex__string = ap(ap(c_2EASCIInumbers_2Es2n,ap(c_2Earithmetic_2ENUMERAL,ap(c_2Earithmetic_2EBIT2,ap(c_2Earithmetic_2EBIT1,ap(c_2Earithmetic_2EBIT1,ap(c_2Earithmetic_2EBIT1,c_2Earithmetic_2EZERO)))))),c_2EASCIInumbers_2EUNHEX) ).
fof(ax_thm_2EASCIInumbers_2Enum__to__bin__string__def,axiom,
c_2EASCIInumbers_2Enum__to__bin__string = ap(ap(c_2EASCIInumbers_2En2s,ap(c_2Earithmetic_2ENUMERAL,ap(c_2Earithmetic_2EBIT2,c_2Earithmetic_2EZERO))),c_2EASCIInumbers_2EHEX) ).
fof(ax_thm_2EASCIInumbers_2Enum__to__oct__string__def,axiom,
c_2EASCIInumbers_2Enum__to__oct__string = ap(ap(c_2EASCIInumbers_2En2s,ap(c_2Earithmetic_2ENUMERAL,ap(c_2Earithmetic_2EBIT2,ap(c_2Earithmetic_2EBIT1,ap(c_2Earithmetic_2EBIT1,c_2Earithmetic_2EZERO))))),c_2EASCIInumbers_2EHEX) ).
fof(ax_thm_2EASCIInumbers_2Enum__to__dec__string__def,axiom,
c_2EASCIInumbers_2Enum__to__dec__string = ap(ap(c_2EASCIInumbers_2En2s,ap(c_2Earithmetic_2ENUMERAL,ap(c_2Earithmetic_2EBIT2,ap(c_2Earithmetic_2EBIT2,ap(c_2Earithmetic_2EBIT1,c_2Earithmetic_2EZERO))))),c_2EASCIInumbers_2EHEX) ).
fof(ax_thm_2EASCIInumbers_2Enum__to__hex__string__def,axiom,
c_2EASCIInumbers_2Enum__to__hex__string = ap(ap(c_2EASCIInumbers_2En2s,ap(c_2Earithmetic_2ENUMERAL,ap(c_2Earithmetic_2EBIT2,ap(c_2Earithmetic_2EBIT1,ap(c_2Earithmetic_2EBIT1,ap(c_2Earithmetic_2EBIT1,c_2Earithmetic_2EZERO)))))),c_2EASCIInumbers_2EHEX) ).
fof(lameq_f1893,axiom,
! [V1c] : ap(f1893,V1c) = ap(ap(c_2Ebool_2E_5C_2F,ap(ap(c_2Emin_2E_3D(ty_2Estring_2Echar),V1c),ap(c_2Estring_2ECHR,ap(c_2Earithmetic_2ENUMERAL,ap(c_2Earithmetic_2EBIT2,ap(c_2Earithmetic_2EBIT1,ap(c_2Earithmetic_2EBIT1,ap(c_2Earithmetic_2EBIT1,ap(c_2Earithmetic_2EBIT2,c_2Earithmetic_2EZERO))))))))),ap(ap(c_2Emin_2E_3D(ty_2Estring_2Echar),V1c),ap(c_2Estring_2ECHR,ap(c_2Earithmetic_2ENUMERAL,ap(c_2Earithmetic_2EBIT1,ap(c_2Earithmetic_2EBIT2,ap(c_2Earithmetic_2EBIT1,ap(c_2Earithmetic_2EBIT1,ap(c_2Earithmetic_2EBIT2,c_2Earithmetic_2EZERO))))))))) ).
fof(ax_thm_2EASCIInumbers_2EfromBinString__def,axiom,
! [V0s] :
( mem(V0s,ty_2Elist_2Elist(ty_2Estring_2Echar))
=> ap(c_2EASCIInumbers_2EfromBinString,V0s) = ap(ap(ap(c_2Ebool_2ECOND(ty_2Eoption_2Eoption(ty_2Enum_2Enum)),ap(ap(c_2Ebool_2E_2F_5C,ap(c_2Ebool_2E_7E,ap(ap(c_2Emin_2E_3D(ty_2Elist_2Elist(ty_2Estring_2Echar)),V0s),c_2Elist_2ENIL(ty_2Estring_2Echar)))),ap(ap(c_2Elist_2EEVERY(ty_2Estring_2Echar),f1893),V0s))),ap(c_2Eoption_2ESOME(ty_2Enum_2Enum),ap(c_2EASCIInumbers_2Enum__from__bin__string,V0s))),c_2Eoption_2ENONE(ty_2Enum_2Enum)) ) ).
fof(ax_thm_2EASCIInumbers_2EfromDecString__def,axiom,
! [V0s] :
( mem(V0s,ty_2Elist_2Elist(ty_2Estring_2Echar))
=> ap(c_2EASCIInumbers_2EfromDecString,V0s) = ap(ap(ap(c_2Ebool_2ECOND(ty_2Eoption_2Eoption(ty_2Enum_2Enum)),ap(ap(c_2Ebool_2E_2F_5C,ap(c_2Ebool_2E_7E,ap(ap(c_2Emin_2E_3D(ty_2Elist_2Elist(ty_2Estring_2Echar)),V0s),c_2Elist_2ENIL(ty_2Estring_2Echar)))),ap(ap(c_2Elist_2EEVERY(ty_2Estring_2Echar),c_2Estring_2EisDigit),V0s))),ap(c_2Eoption_2ESOME(ty_2Enum_2Enum),ap(c_2EASCIInumbers_2Enum__from__dec__string,V0s))),c_2Eoption_2ENONE(ty_2Enum_2Enum)) ) ).
fof(ax_thm_2EASCIInumbers_2EfromHexString__def,axiom,
! [V0s] :
( mem(V0s,ty_2Elist_2Elist(ty_2Estring_2Echar))
=> ap(c_2EASCIInumbers_2EfromHexString,V0s) = ap(ap(ap(c_2Ebool_2ECOND(ty_2Eoption_2Eoption(ty_2Enum_2Enum)),ap(ap(c_2Ebool_2E_2F_5C,ap(c_2Ebool_2E_7E,ap(ap(c_2Emin_2E_3D(ty_2Elist_2Elist(ty_2Estring_2Echar)),V0s),c_2Elist_2ENIL(ty_2Estring_2Echar)))),ap(ap(c_2Elist_2EEVERY(ty_2Estring_2Echar),c_2Estring_2EisHexDigit),V0s))),ap(c_2Eoption_2ESOME(ty_2Enum_2Enum),ap(c_2EASCIInumbers_2Enum__from__hex__string,V0s))),c_2Eoption_2ENONE(ty_2Enum_2Enum)) ) ).
fof(conj_thm_2EASCIInumbers_2Es2n__compute,axiom,
! [V0b] :
( mem(V0b,ty_2Enum_2Enum)
=> ! [V1f] :
( mem(V1f,arr(ty_2Estring_2Echar,ty_2Enum_2Enum))
=> ! [V2s] :
( mem(V2s,ty_2Elist_2Elist(ty_2Estring_2Echar))
=> ap(ap(ap(c_2EASCIInumbers_2Es2n,V0b),V1f),V2s) = ap(ap(c_2Enumposrep_2El2n,V0b),ap(ap(c_2Elist_2EMAP(ty_2Estring_2Echar,ty_2Enum_2Enum),V1f),ap(c_2Elist_2EREVERSE(ty_2Estring_2Echar),ap(c_2Estring_2EEXPLODE,V2s)))) ) ) ) ).
fof(conj_thm_2EASCIInumbers_2En2s__compute,axiom,
! [V0b] :
( mem(V0b,ty_2Enum_2Enum)
=> ! [V1f] :
( mem(V1f,arr(ty_2Enum_2Enum,ty_2Estring_2Echar))
=> ! [V2n] :
( mem(V2n,ty_2Enum_2Enum)
=> ap(ap(ap(c_2EASCIInumbers_2En2s,V0b),V1f),V2n) = ap(c_2Estring_2EIMPLODE,ap(c_2Elist_2EREVERSE(ty_2Estring_2Echar),ap(ap(c_2Elist_2EMAP(ty_2Enum_2Enum,ty_2Estring_2Echar),V1f),ap(ap(c_2Enumposrep_2En2l,V0b),V2n)))) ) ) ) ).
fof(conj_thm_2EASCIInumbers_2EUNHEX__HEX,axiom,
! [V0n] :
( mem(V0n,ty_2Enum_2Enum)
=> ( p(ap(ap(c_2Eprim__rec_2E_3C,V0n),ap(c_2Earithmetic_2ENUMERAL,ap(c_2Earithmetic_2EBIT2,ap(c_2Earithmetic_2EBIT1,ap(c_2Earithmetic_2EBIT1,ap(c_2Earithmetic_2EBIT1,c_2Earithmetic_2EZERO)))))))
=> ap(c_2EASCIInumbers_2EUNHEX,ap(c_2EASCIInumbers_2EHEX,V0n)) = V0n ) ) ).
fof(conj_thm_2EASCIInumbers_2EHEX__UNHEX,axiom,
! [V0c] :
( mem(V0c,ty_2Estring_2Echar)
=> ( p(ap(c_2Estring_2EisHexDigit,V0c))
=> ap(c_2EASCIInumbers_2EHEX,ap(c_2EASCIInumbers_2EUNHEX,V0c)) = ap(c_2Estring_2EtoUpper,V0c) ) ) ).
fof(conj_thm_2EASCIInumbers_2EDEC__UNDEC,axiom,
! [V0c] :
( mem(V0c,ty_2Estring_2Echar)
=> ( p(ap(c_2Estring_2EisDigit,V0c))
=> ap(c_2EASCIInumbers_2EHEX,ap(c_2EASCIInumbers_2EUNHEX,V0c)) = V0c ) ) ).
fof(conj_thm_2EASCIInumbers_2Es2n__n2s,axiom,
! [V0c2n] :
( mem(V0c2n,arr(ty_2Estring_2Echar,ty_2Enum_2Enum))
=> ! [V1n2c] :
( mem(V1n2c,arr(ty_2Enum_2Enum,ty_2Estring_2Echar))
=> ! [V2b] :
( mem(V2b,ty_2Enum_2Enum)
=> ! [V3n] :
( mem(V3n,ty_2Enum_2Enum)
=> ( ( p(ap(ap(c_2Eprim__rec_2E_3C,ap(c_2Earithmetic_2ENUMERAL,ap(c_2Earithmetic_2EBIT1,c_2Earithmetic_2EZERO))),V2b))
& ! [V4x] :
( mem(V4x,ty_2Enum_2Enum)
=> ( p(ap(ap(c_2Eprim__rec_2E_3C,V4x),V2b))
=> ap(V0c2n,ap(V1n2c,V4x)) = V4x ) ) )
=> ap(ap(ap(c_2EASCIInumbers_2Es2n,V2b),V0c2n),ap(ap(ap(c_2EASCIInumbers_2En2s,V2b),V1n2c),V3n)) = V3n ) ) ) ) ) ).
fof(conj_thm_2EASCIInumbers_2En2s__s2n,axiom,
! [V0c2n] :
( mem(V0c2n,arr(ty_2Estring_2Echar,ty_2Enum_2Enum))
=> ! [V1n2c] :
( mem(V1n2c,arr(ty_2Enum_2Enum,ty_2Estring_2Echar))
=> ! [V2b] :
( mem(V2b,ty_2Enum_2Enum)
=> ! [V3s] :
( mem(V3s,ty_2Elist_2Elist(ty_2Estring_2Echar))
=> ( ( p(ap(ap(c_2Eprim__rec_2E_3C,ap(c_2Earithmetic_2ENUMERAL,ap(c_2Earithmetic_2EBIT1,c_2Earithmetic_2EZERO))),V2b))
& p(ap(ap(c_2Elist_2EEVERY(ty_2Estring_2Echar),ap(ap(c_2Ecombin_2Eo(ty_2Estring_2Echar,bool,ty_2Enum_2Enum),ap(c_2Earithmetic_2E_3E,V2b)),V0c2n)),V3s)) )
=> ap(ap(ap(c_2EASCIInumbers_2En2s,V2b),V1n2c),ap(ap(ap(c_2EASCIInumbers_2Es2n,V2b),V0c2n),V3s)) = ap(ap(ap(c_2Ebool_2ECOND(ty_2Elist_2Elist(ty_2Estring_2Echar)),ap(ap(c_2Emin_2E_3D(ty_2Enum_2Enum),ap(ap(ap(c_2EASCIInumbers_2Es2n,V2b),V0c2n),V3s)),c_2Enum_2E0)),ap(ap(c_2Elist_2ECONS(ty_2Estring_2Echar),ap(V1n2c,c_2Enum_2E0)),c_2Elist_2ENIL(ty_2Estring_2Echar))),ap(ap(c_2Elist_2EMAP(ty_2Estring_2Echar,ty_2Estring_2Echar),ap(ap(c_2Ecombin_2Eo(ty_2Estring_2Echar,ty_2Estring_2Echar,ty_2Enum_2Enum),V1n2c),V0c2n)),ap(ap(c_2Erich__list_2ELASTN(ty_2Estring_2Echar),ap(c_2Enum_2ESUC,ap(ap(c_2Elogroot_2ELOG,V2b),ap(ap(ap(c_2EASCIInumbers_2Es2n,V2b),V0c2n),V3s)))),V3s))) ) ) ) ) ) ).
fof(conj_thm_2EASCIInumbers_2EtoNum__toString,axiom,
! [V0n] :
( mem(V0n,ty_2Enum_2Enum)
=> ap(c_2EASCIInumbers_2Enum__from__dec__string,ap(c_2EASCIInumbers_2Enum__to__dec__string,V0n)) = V0n ) ).
fof(conj_thm_2EASCIInumbers_2EtoString__toNum__cancel,axiom,
! [V0n] :
( mem(V0n,ty_2Enum_2Enum)
=> ap(c_2EASCIInumbers_2Enum__from__dec__string,ap(c_2EASCIInumbers_2Enum__to__dec__string,V0n)) = V0n ) ).
fof(conj_thm_2EASCIInumbers_2EtoString__inj,axiom,
! [V0n] :
( mem(V0n,ty_2Enum_2Enum)
=> ! [V1m] :
( mem(V1m,ty_2Enum_2Enum)
=> ( ap(c_2EASCIInumbers_2Enum__to__dec__string,V0n) = ap(c_2EASCIInumbers_2Enum__to__dec__string,V1m)
<=> V0n = V1m ) ) ) ).
fof(conj_thm_2EASCIInumbers_2EtoString__11,axiom,
! [V0n] :
( mem(V0n,ty_2Enum_2Enum)
=> ! [V1m] :
( mem(V1m,ty_2Enum_2Enum)
=> ( ap(c_2EASCIInumbers_2Enum__to__dec__string,V0n) = ap(c_2EASCIInumbers_2Enum__to__dec__string,V1m)
<=> V0n = V1m ) ) ) ).
fof(conj_thm_2EASCIInumbers_2ESTRCAT__toString__inj,axiom,
! [V0n] :
( mem(V0n,ty_2Enum_2Enum)
=> ! [V1m] :
( mem(V1m,ty_2Enum_2Enum)
=> ! [V2s] :
( mem(V2s,ty_2Elist_2Elist(ty_2Estring_2Echar))
=> ( ap(ap(c_2Elist_2EAPPEND(ty_2Estring_2Echar),V2s),ap(c_2EASCIInumbers_2Enum__to__dec__string,V0n)) = ap(ap(c_2Elist_2EAPPEND(ty_2Estring_2Echar),V2s),ap(c_2EASCIInumbers_2Enum__to__dec__string,V1m))
<=> V0n = V1m ) ) ) ) ).
fof(conj_thm_2EASCIInumbers_2EBIT__num__from__bin__string,axiom,
! [V0x] :
( mem(V0x,ty_2Enum_2Enum)
=> ! [V1s] :
( mem(V1s,ty_2Elist_2Elist(ty_2Estring_2Echar))
=> ( ( p(ap(ap(c_2Elist_2EEVERY(ty_2Estring_2Echar),ap(ap(c_2Ecombin_2Eo(ty_2Estring_2Echar,bool,ty_2Enum_2Enum),ap(c_2Earithmetic_2E_3E,ap(c_2Earithmetic_2ENUMERAL,ap(c_2Earithmetic_2EBIT2,c_2Earithmetic_2EZERO)))),c_2EASCIInumbers_2EUNHEX)),V1s))
& p(ap(ap(c_2Eprim__rec_2E_3C,V0x),ap(c_2Elist_2ELENGTH(ty_2Estring_2Echar),V1s))) )
=> ( p(ap(ap(c_2Ebit_2EBIT,V0x),ap(c_2EASCIInumbers_2Enum__from__bin__string,V1s)))
<=> ap(c_2EASCIInumbers_2EUNHEX,ap(c_2Estring_2ESUB,ap(ap(c_2Epair_2E_2C(ty_2Elist_2Elist(ty_2Estring_2Echar),ty_2Enum_2Enum),V1s),ap(c_2Eprim__rec_2EPRE,ap(ap(c_2Earithmetic_2E_2D,ap(c_2Elist_2ELENGTH(ty_2Estring_2Echar),V1s)),V0x))))) = ap(c_2Earithmetic_2ENUMERAL,ap(c_2Earithmetic_2EBIT1,c_2Earithmetic_2EZERO)) ) ) ) ) ).
fof(conj_thm_2EASCIInumbers_2ESUB__num__to__bin__string,axiom,
! [V0x] :
( mem(V0x,ty_2Enum_2Enum)
=> ! [V1n] :
( mem(V1n,ty_2Enum_2Enum)
=> ( p(ap(ap(c_2Eprim__rec_2E_3C,V0x),ap(c_2Elist_2ELENGTH(ty_2Estring_2Echar),ap(c_2EASCIInumbers_2Enum__to__bin__string,V1n))))
=> ap(c_2Estring_2ESUB,ap(ap(c_2Epair_2E_2C(ty_2Elist_2Elist(ty_2Estring_2Echar),ty_2Enum_2Enum),ap(c_2EASCIInumbers_2Enum__to__bin__string,V1n)),V0x)) = ap(c_2EASCIInumbers_2EHEX,ap(ap(c_2Ebit_2EBITV,V1n),ap(c_2Eprim__rec_2EPRE,ap(ap(c_2Earithmetic_2E_2D,ap(c_2Elist_2ELENGTH(ty_2Estring_2Echar),ap(c_2EASCIInumbers_2Enum__to__bin__string,V1n))),V0x)))) ) ) ) ).
fof(conj_thm_2EASCIInumbers_2Enum__bin__string,axiom,
ap(ap(c_2Ecombin_2Eo(ty_2Enum_2Enum,ty_2Enum_2Enum,ty_2Elist_2Elist(ty_2Estring_2Echar)),c_2EASCIInumbers_2Enum__from__bin__string),c_2EASCIInumbers_2Enum__to__bin__string) = c_2Ecombin_2EI(ty_2Enum_2Enum) ).
fof(conj_thm_2EASCIInumbers_2Enum__oct__string,axiom,
ap(ap(c_2Ecombin_2Eo(ty_2Enum_2Enum,ty_2Enum_2Enum,ty_2Elist_2Elist(ty_2Estring_2Echar)),c_2EASCIInumbers_2Enum__from__oct__string),c_2EASCIInumbers_2Enum__to__oct__string) = c_2Ecombin_2EI(ty_2Enum_2Enum) ).
fof(conj_thm_2EASCIInumbers_2Enum__dec__string,axiom,
ap(ap(c_2Ecombin_2Eo(ty_2Enum_2Enum,ty_2Enum_2Enum,ty_2Elist_2Elist(ty_2Estring_2Echar)),c_2EASCIInumbers_2Enum__from__dec__string),c_2EASCIInumbers_2Enum__to__dec__string) = c_2Ecombin_2EI(ty_2Enum_2Enum) ).
fof(conj_thm_2EASCIInumbers_2Enum__hex__string,axiom,
ap(ap(c_2Ecombin_2Eo(ty_2Enum_2Enum,ty_2Enum_2Enum,ty_2Elist_2Elist(ty_2Estring_2Echar)),c_2EASCIInumbers_2Enum__from__hex__string),c_2EASCIInumbers_2Enum__to__hex__string) = c_2Ecombin_2EI(ty_2Enum_2Enum) ).
%------------------------------------------------------------------------------