% Mizar ND problem: t4_bintree2,bintree2,158,17 
fof(dh_c1_5__bintree2,definition,
    ( ( ( ~ v1_xboole_0(c1_5__bintree2)
        & v1_trees_1(c1_5__bintree2) )
     => ( c1_5__bintree2 = k3_finseq_2(k7_domain_1(k5_numbers,0,1))
       => k3_trees_1(c1_5__bintree2) = k1_xboole_0 ) )
   => ! [A] : 
        ( ( ~ v1_xboole_0(A)
          & v1_trees_1(A) )
       => ( A = k3_finseq_2(k7_domain_1(k5_numbers,0,1))
         => k3_trees_1(A) = k1_xboole_0 ) ) ),
    introduced(definition,[new_symbol(c1_5__bintree2),file(bintree2,c1_5__bintree2)]),
    [interesting(0.8),axiom,file(bintree2,c1_5__bintree2)]).

fof(e1_5__bintree2,assumption,(
    c1_5__bintree2 = k3_finseq_2(k7_domain_1(k5_numbers,0,1)) ),
    introduced(assumption,[file(bintree2,e1_5__bintree2)]),
    [interesting(0.8),axiom,file(bintree2,e1_5__bintree2)]).

fof(e2_5__bintree2,assumption,(
    k3_trees_1(c1_5__bintree2) != k1_xboole_0 ),
    introduced(assumption,[file(bintree2,e2_5__bintree2)]),
    [interesting(0.8),axiom,file(bintree2,e2_5__bintree2)]).

fof(rc3_trees_9,theorem,(
    ? [A] : 
      ( ~ v1_xboole_0(A)
      & v1_finset_1(A)
      & v1_trees_1(A)
      & v1_trees_2(A)
      & v2_trees_9(A) ) ),
    file(trees_9,rc3_trees_9),
    [interesting(0.9),axiom,file(trees_9,rc3_trees_9)]).

fof(existence_m1_finseq_2,axiom,(
    ! [A] : 
    ? [B] : m1_finseq_2(B,A) ),
    file(finseq_2,m1_finseq_2),
    [interesting(0.9),axiom,file(finseq_2,m1_finseq_2)]).

fof(existence_m1_relset_1,axiom,(
    ! [A,B] : 
    ? [C] : m1_relset_1(C,A,B) ),
    file(relset_1,m1_relset_1),
    [interesting(0.9),axiom,file(relset_1,m1_relset_1)]).

fof(dt_k2_zfmisc_1,axiom,(
    $true ),
    file(zfmisc_1,k2_zfmisc_1),
    [interesting(0.9),axiom,file(zfmisc_1,k2_zfmisc_1)]).

fof(dt_m1_finseq_2,axiom,(
    $true ),
    file(finseq_2,m1_finseq_2),
    [interesting(0.9),axiom,file(finseq_2,m1_finseq_2)]).

fof(dt_m1_relset_1,axiom,(
    $true ),
    file(relset_1,m1_relset_1),
    [interesting(0.9),axiom,file(relset_1,m1_relset_1)]).

fof(cc1_finseq_1,theorem,(
    ! [A] : 
      ( ( v1_relat_1(A)
        & v1_funct_1(A)
        & v1_finseq_1(A) )
     => ( v1_relat_1(A)
        & v1_funct_1(A)
        & v1_finset_1(A) ) ) ),
    file(finseq_1,cc1_finseq_1),
    [interesting(0.9),axiom,file(finseq_1,cc1_finseq_1)]).

fof(cc1_relset_1,theorem,(
    ! [A,B,C] : 
      ( m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,B)))
     => v1_relat_1(C) ) ),
    file(relset_1,cc1_relset_1),
    [interesting(0.9),axiom,file(relset_1,cc1_relset_1)]).

fof(cc3_trees_9,theorem,(
    ! [A] : 
      ( ( ~ v1_xboole_0(A)
        & v1_trees_1(A)
        & v1_trees_2(A) )
     => ( ~ v1_xboole_0(A)
        & v1_trees_1(A)
        & v2_trees_9(A) ) ) ),
    file(trees_9,cc3_trees_9),
    [interesting(0.9),axiom,file(trees_9,cc3_trees_9)]).

fof(fc13_finseq_1,theorem,(
    ! [A,B] : 
      ( ( v1_relat_1(A)
        & v1_funct_1(A)
        & v1_finseq_1(A)
        & ~ v1_xboole_0(B)
        & v1_relat_1(B)
        & v1_funct_1(B)
        & v1_finseq_1(B) )
     => ( ~ v1_xboole_0(k7_finseq_1(A,B))
        & v1_relat_1(k7_finseq_1(A,B))
        & v1_funct_1(k7_finseq_1(A,B))
        & v1_finset_1(k7_finseq_1(A,B))
        & v1_finseq_1(k7_finseq_1(A,B)) ) ) ),
    file(finseq_1,fc13_finseq_1),
    [interesting(0.9),axiom,file(finseq_1,fc13_finseq_1)]).

fof(fc14_finseq_1,theorem,(
    ! [A,B] : 
      ( ( v1_relat_1(A)
        & v1_funct_1(A)
        & v1_finseq_1(A)
        & ~ v1_xboole_0(B)
        & v1_relat_1(B)
        & v1_funct_1(B)
        & v1_finseq_1(B) )
     => ( ~ v1_xboole_0(k7_finseq_1(B,A))
        & v1_relat_1(k7_finseq_1(B,A))
        & v1_funct_1(k7_finseq_1(B,A))
        & v1_finset_1(k7_finseq_1(B,A))
        & v1_finseq_1(k7_finseq_1(B,A)) ) ) ),
    file(finseq_1,fc14_finseq_1),
    [interesting(0.9),axiom,file(finseq_1,fc14_finseq_1)]).

fof(fc14_finset_1,theorem,(
    ! [A,B] : 
      ( ( v1_finset_1(A)
        & v1_finset_1(B) )
     => v1_finset_1(k2_zfmisc_1(A,B)) ) ),
    file(finset_1,fc14_finset_1),
    [interesting(0.9),axiom,file(finset_1,fc14_finset_1)]).

fof(fc4_subset_1,theorem,(
    ! [A,B] : 
      ( ( ~ v1_xboole_0(A)
        & ~ v1_xboole_0(B) )
     => ~ v1_xboole_0(k2_zfmisc_1(A,B)) ) ),
    file(subset_1,fc4_subset_1),
    [interesting(0.9),axiom,file(subset_1,fc4_subset_1)]).

fof(rc1_finseq_1,theorem,(
    ? [A] : 
      ( v1_relat_1(A)
      & v1_funct_1(A)
      & v1_finseq_1(A) ) ),
    file(finseq_1,rc1_finseq_1),
    [interesting(0.9),axiom,file(finseq_1,rc1_finseq_1)]).

fof(rc1_margrel1,theorem,(
    ? [A] : v1_margrel1(A) ),
    file(margrel1,rc1_margrel1),
    [interesting(0.9),axiom,file(margrel1,rc1_margrel1)]).

fof(rc1_trees_2,theorem,(
    ? [A] : 
      ( ~ v1_xboole_0(A)
      & v1_trees_1(A)
      & v1_trees_2(A) ) ),
    file(trees_2,rc1_trees_2),
    [interesting(0.9),axiom,file(trees_2,rc1_trees_2)]).

fof(rc2_finseq_1,theorem,(
    ! [A] : 
    ? [B] : 
      ( m1_relset_1(B,k5_numbers,A)
      & v1_relat_1(B)
      & v1_funct_1(B)
      & v1_finset_1(B)
      & v1_finseq_1(B) ) ),
    file(finseq_1,rc2_finseq_1),
    [interesting(0.9),axiom,file(finseq_1,rc2_finseq_1)]).

fof(rc2_finset_1,theorem,(
    ! [A] : 
    ? [B] : 
      ( m1_subset_1(B,k1_zfmisc_1(A))
      & v1_xboole_0(B)
      & v1_relat_1(B)
      & v1_funct_1(B)
      & v2_funct_1(B)
      & v1_ordinal1(B)
      & v2_ordinal1(B)
      & v3_ordinal1(B)
      & v4_ordinal2(B)
      & v1_finset_1(B) ) ),
    file(finset_1,rc2_finset_1),
    [interesting(0.9),axiom,file(finset_1,rc2_finset_1)]).

fof(rc3_finseq_1,theorem,(
    ? [A] : 
      ( v1_xboole_0(A)
      & v1_relat_1(A)
      & v1_funct_1(A)
      & v2_funct_1(A)
      & v1_finset_1(A)
      & v1_finseq_1(A) ) ),
    file(finseq_1,rc3_finseq_1),
    [interesting(0.9),axiom,file(finseq_1,rc3_finseq_1)]).

fof(rc4_finseq_1,theorem,(
    ! [A] : 
    ? [B] : 
      ( m1_finseq_1(B,A)
      & v1_xboole_0(B)
      & v1_relat_1(B)
      & v1_funct_1(B)
      & v2_funct_1(B)
      & v1_finset_1(B)
      & v1_finseq_1(B) ) ),
    file(finseq_1,rc4_finseq_1),
    [interesting(0.9),axiom,file(finseq_1,rc4_finseq_1)]).

fof(rc5_trees_9,theorem,(
    ! [A] : 
    ? [B] : 
      ( m1_finseq_1(B,A)
      & v1_relat_1(B)
      & v1_funct_1(B)
      & v2_funct_1(B)
      & v1_xboole_0(B)
      & v1_finset_1(B)
      & v1_finseq_1(B) ) ),
    file(trees_9,rc5_trees_9),
    [interesting(0.9),axiom,file(trees_9,rc5_trees_9)]).

fof(rc6_finseq_1,theorem,(
    ? [A] : 
      ( v1_xboole_0(A)
      & v1_relat_1(A)
      & v1_funct_1(A)
      & v2_funct_1(A)
      & v1_finset_1(A) ) ),
    file(finseq_1,rc6_finseq_1),
    [interesting(0.9),axiom,file(finseq_1,rc6_finseq_1)]).

fof(rc6_trees_9,theorem,(
    ! [A] : 
      ( ( ~ v1_xboole_0(A)
        & v1_trees_1(A) )
     => ? [B] : 
          ( m1_subset_1(B,A)
          & v1_relat_1(B)
          & v1_funct_1(B)
          & v2_funct_1(B)
          & v1_xboole_0(B)
          & v1_finset_1(B)
          & v1_finseq_1(B) ) ) ),
    file(trees_9,rc6_trees_9),
    [interesting(0.9),axiom,file(trees_9,rc6_trees_9)]).

fof(rc7_finseq_1,theorem,(
    ? [A] : 
      ( ~ v1_xboole_0(A)
      & v1_relat_1(A)
      & v1_funct_1(A)
      & v1_finset_1(A) ) ),
    file(finseq_1,rc7_finseq_1),
    [interesting(0.9),axiom,file(finseq_1,rc7_finseq_1)]).

fof(rc8_finseq_1,theorem,(
    ? [A] : 
      ( ~ v1_xboole_0(A)
      & v1_relat_1(A)
      & v1_funct_1(A)
      & v1_finset_1(A)
      & v1_finseq_1(A) ) ),
    file(finseq_1,rc8_finseq_1),
    [interesting(0.9),axiom,file(finseq_1,rc8_finseq_1)]).

fof(rc9_trees_2,theorem,(
    ! [A,B] : 
      ( ( ~ v1_xboole_0(A)
        & ~ v1_xboole_0(B) )
     => ? [C] : 
          ( m1_relset_1(C,A,B)
          & v1_relat_1(C)
          & ~ v1_xboole_0(C) ) ) ),
    file(trees_2,rc9_trees_2),
    [interesting(0.9),axiom,file(trees_2,rc9_trees_2)]).

fof(reflexivity_r1_tarski,theorem,(
    ! [A,B] : r1_tarski(A,A) ),
    file(tarski,r1_tarski),
    [interesting(0.9),axiom,file(tarski,r1_tarski)]).

fof(existence_m1_finseq_1,axiom,(
    ! [A] : 
    ? [B] : m1_finseq_1(B,A) ),
    file(finseq_1,m1_finseq_1),
    [interesting(0.9),axiom,file(finseq_1,m1_finseq_1)]).

fof(existence_m2_finseq_2,axiom,(
    ! [A,B] : 
      ( ( ~ v1_xboole_0(B)
        & m1_finseq_2(B,A) )
     => ? [C] : m2_finseq_2(C,A,B) ) ),
    file(finseq_2,m2_finseq_2),
    [interesting(0.9),axiom,file(finseq_2,m2_finseq_2)]).

fof(existence_m2_relset_1,axiom,(
    ! [A,B] : 
    ? [C] : m2_relset_1(C,A,B) ),
    file(relset_1,m2_relset_1),
    [interesting(0.9),axiom,file(relset_1,m2_relset_1)]).

fof(existence_m2_subset_1,axiom,(
    ! [A,B] : 
      ( ( ~ v1_xboole_0(A)
        & ~ v1_xboole_0(B)
        & m1_subset_1(B,k1_zfmisc_1(A)) )
     => ? [C] : m2_subset_1(C,A,B) ) ),
    file(subset_1,m2_subset_1),
    [interesting(0.9),axiom,file(subset_1,m2_subset_1)]).

fof(redefinition_m2_finseq_2,definition,(
    ! [A,B] : 
      ( ( ~ v1_xboole_0(B)
        & m1_finseq_2(B,A) )
     => ! [C] : 
          ( m2_finseq_2(C,A,B)
        <=> m1_subset_1(C,B) ) ) ),
    file(finseq_2,m2_finseq_2),
    [interesting(0.9),axiom,file(finseq_2,m2_finseq_2)]).

fof(redefinition_m2_relset_1,definition,(
    ! [A,B,C] : 
      ( m2_relset_1(C,A,B)
    <=> m1_relset_1(C,A,B) ) ),
    file(relset_1,m2_relset_1),
    [interesting(0.9),axiom,file(relset_1,m2_relset_1)]).

fof(redefinition_m2_subset_1,definition,(
    ! [A,B] : 
      ( ( ~ v1_xboole_0(A)
        & ~ v1_xboole_0(B)
        & m1_subset_1(B,k1_zfmisc_1(A)) )
     => ! [C] : 
          ( m2_subset_1(C,A,B)
        <=> m1_subset_1(C,B) ) ) ),
    file(subset_1,m2_subset_1),
    [interesting(0.9),axiom,file(subset_1,m2_subset_1)]).

fof(dt_k1_numbers,axiom,(
    $true ),
    file(numbers,k1_numbers),
    [interesting(0.9),axiom,file(numbers,k1_numbers)]).

fof(dt_k1_xboole_0,axiom,(
    $true ),
    file(xboole_0,k1_xboole_0),
    [interesting(0.9),axiom,file(xboole_0,k1_xboole_0)]).

fof(dt_k4_finseq_2,axiom,(
    ! [A,B] : 
      ( v4_ordinal2(A)
     => m1_finseq_2(k4_finseq_2(A,B),B) ) ),
    file(finseq_2,k4_finseq_2),
    [interesting(0.9),axiom,file(finseq_2,k4_finseq_2)]).

fof(dt_k5_finseq_1,axiom,(
    $true ),
    file(finseq_1,k5_finseq_1),
    [interesting(0.9),axiom,file(finseq_1,k5_finseq_1)]).

fof(dt_k5_ordinal2,axiom,(
    $true ),
    file(ordinal2,k5_ordinal2),
    [interesting(0.9),axiom,file(ordinal2,k5_ordinal2)]).

fof(dt_k7_finseq_1,axiom,(
    ! [A,B] : 
      ( ( v1_relat_1(A)
        & v1_funct_1(A)
        & v1_finseq_1(A)
        & v1_relat_1(B)
        & v1_funct_1(B)
        & v1_finseq_1(B) )
     => ( v1_relat_1(k7_finseq_1(A,B))
        & v1_funct_1(k7_finseq_1(A,B))
        & v1_finseq_1(k7_finseq_1(A,B)) ) ) ),
    file(finseq_1,k7_finseq_1),
    [interesting(0.9),axiom,file(finseq_1,k7_finseq_1)]).

fof(dt_m1_finseq_1,axiom,(
    ! [A,B] : 
      ( m1_finseq_1(B,A)
     => ( v1_relat_1(B)
        & v1_funct_1(B)
        & v1_finseq_1(B) ) ) ),
    file(finseq_1,m1_finseq_1),
    [interesting(0.9),axiom,file(finseq_1,m1_finseq_1)]).

fof(dt_m2_finseq_2,axiom,(
    ! [A,B] : 
      ( ( ~ v1_xboole_0(B)
        & m1_finseq_2(B,A) )
     => ! [C] : 
          ( m2_finseq_2(C,A,B)
         => m2_finseq_1(C,A) ) ) ),
    file(finseq_2,m2_finseq_2),
    [interesting(0.9),axiom,file(finseq_2,m2_finseq_2)]).

fof(dt_m2_relset_1,axiom,(
    ! [A,B,C] : 
      ( m2_relset_1(C,A,B)
     => m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,B))) ) ),
    file(relset_1,m2_relset_1),
    [interesting(0.9),axiom,file(relset_1,m2_relset_1)]).

fof(dt_m2_subset_1,axiom,(
    ! [A,B] : 
      ( ( ~ v1_xboole_0(A)
        & ~ v1_xboole_0(B)
        & m1_subset_1(B,k1_zfmisc_1(A)) )
     => ! [C] : 
          ( m2_subset_1(C,A,B)
         => m1_subset_1(C,A) ) ) ),
    file(subset_1,m2_subset_1),
    [interesting(0.9),axiom,file(subset_1,m2_subset_1)]).

fof(cc1_trees_9,theorem,(
    ! [A] : 
      ( ( ~ v1_xboole_0(A)
        & v1_finset_1(A)
        & v1_trees_1(A) )
     => ( ~ v1_xboole_0(A)
        & v1_trees_1(A)
        & v1_trees_2(A) ) ) ),
    file(trees_9,cc1_trees_9),
    [interesting(0.9),axiom,file(trees_9,cc1_trees_9)]).

fof(cc1_xreal_0,theorem,(
    ! [A] : 
      ( v4_ordinal2(A)
     => v1_xreal_0(A) ) ),
    file(xreal_0,cc1_xreal_0),
    [interesting(0.9),axiom,file(xreal_0,cc1_xreal_0)]).

fof(cc2_finset_1,theorem,(
    ! [A] : 
      ( v1_finset_1(A)
     => ! [B] : 
          ( m1_subset_1(B,k1_zfmisc_1(A))
         => v1_finset_1(B) ) ) ),
    file(finset_1,cc2_finset_1),
    [interesting(0.9),axiom,file(finset_1,cc2_finset_1)]).

fof(cc2_xreal_0,theorem,(
    ! [A] : 
      ( v1_xreal_0(A)
     => v1_xcmplx_0(A) ) ),
    file(xreal_0,cc2_xreal_0),
    [interesting(0.9),axiom,file(xreal_0,cc2_xreal_0)]).

fof(cc3_nat_1,theorem,(
    ! [A] : 
      ( v4_ordinal2(A)
     => ( v4_ordinal2(A)
        & v1_xcmplx_0(A)
        & v1_xreal_0(A)
        & ~ v3_xreal_0(A) ) ) ),
    file(nat_1,cc3_nat_1),
    [interesting(0.9),axiom,file(nat_1,cc3_nat_1)]).

fof(cc3_xreal_0,theorem,(
    ! [A] : 
      ( ( v1_xreal_0(A)
        & v2_xreal_0(A) )
     => ( ~ v1_xboole_0(A)
        & v1_xcmplx_0(A)
        & v1_xreal_0(A)
        & ~ v3_xreal_0(A) ) ) ),
    file(xreal_0,cc3_xreal_0),
    [interesting(0.9),axiom,file(xreal_0,cc3_xreal_0)]).

fof(cc4_xreal_0,theorem,(
    ! [A] : 
      ( ( ~ v1_xboole_0(A)
        & v1_xreal_0(A)
        & ~ v3_xreal_0(A) )
     => ( v1_xcmplx_0(A)
        & v1_xreal_0(A)
        & v2_xreal_0(A) ) ) ),
    file(xreal_0,cc4_xreal_0),
    [interesting(0.9),axiom,file(xreal_0,cc4_xreal_0)]).

fof(cc5_xreal_0,theorem,(
    ! [A] : 
      ( ( v1_xreal_0(A)
        & v3_xreal_0(A) )
     => ( ~ v1_xboole_0(A)
        & v1_xcmplx_0(A)
        & v1_xreal_0(A)
        & ~ v2_xreal_0(A) ) ) ),
    file(xreal_0,cc5_xreal_0),
    [interesting(0.9),axiom,file(xreal_0,cc5_xreal_0)]).

fof(cc6_xreal_0,theorem,(
    ! [A] : 
      ( ( ~ v1_xboole_0(A)
        & v1_xreal_0(A)
        & ~ v2_xreal_0(A) )
     => ( v1_xcmplx_0(A)
        & v1_xreal_0(A)
        & v3_xreal_0(A) ) ) ),
    file(xreal_0,cc6_xreal_0),
    [interesting(0.9),axiom,file(xreal_0,cc6_xreal_0)]).

fof(cc7_xreal_0,theorem,(
    ! [A] : 
      ( ( v1_xboole_0(A)
        & v1_xreal_0(A) )
     => ( v1_xcmplx_0(A)
        & v1_xreal_0(A)
        & ~ v2_xreal_0(A)
        & ~ v3_xreal_0(A) ) ) ),
    file(xreal_0,cc7_xreal_0),
    [interesting(0.9),axiom,file(xreal_0,cc7_xreal_0)]).

fof(cc8_xreal_0,theorem,(
    ! [A] : 
      ( ( v1_xreal_0(A)
        & ~ v2_xreal_0(A)
        & ~ v3_xreal_0(A) )
     => ( v1_xboole_0(A)
        & v1_xcmplx_0(A)
        & v1_xreal_0(A) ) ) ),
    file(xreal_0,cc8_xreal_0),
    [interesting(0.9),axiom,file(xreal_0,cc8_xreal_0)]).

fof(fc12_finseq_1,theorem,(
    ! [A] : 
      ( ~ v1_xboole_0(k5_finseq_1(A))
      & v1_relat_1(k5_finseq_1(A))
      & v1_funct_1(k5_finseq_1(A))
      & v1_finset_1(k5_finseq_1(A))
      & v1_finseq_1(k5_finseq_1(A)) ) ),
    file(finseq_1,fc12_finseq_1),
    [interesting(0.9),axiom,file(finseq_1,fc12_finseq_1)]).

fof(fc1_margrel1,theorem,
    ( v1_xboole_0(k1_xboole_0)
    & v1_margrel1(k1_xboole_0) ),
    file(margrel1,fc1_margrel1),
    [interesting(0.9),axiom,file(margrel1,fc1_margrel1)]).

fof(fc1_ordinal2,theorem,
    ( v1_ordinal1(k5_ordinal2)
    & v2_ordinal1(k5_ordinal2)
    & v3_ordinal1(k5_ordinal2)
    & ~ v1_xboole_0(k5_ordinal2) ),
    file(ordinal2,fc1_ordinal2),
    [interesting(0.9),axiom,file(ordinal2,fc1_ordinal2)]).

fof(fc2_finseq_1,theorem,
    ( v1_xboole_0(k1_xboole_0)
    & v1_relat_1(k1_xboole_0)
    & v3_relat_1(k1_xboole_0)
    & v1_funct_1(k1_xboole_0)
    & v2_funct_1(k1_xboole_0)
    & v1_finset_1(k1_xboole_0)
    & v1_finseq_1(k1_xboole_0) ),
    file(finseq_1,fc2_finseq_1),
    [interesting(0.9),axiom,file(finseq_1,fc2_finseq_1)]).

fof(fc3_finseq_1,theorem,(
    ! [A] : 
      ( v1_relat_1(k5_finseq_1(A))
      & v1_funct_1(k5_finseq_1(A)) ) ),
    file(finseq_1,fc3_finseq_1),
    [interesting(0.9),axiom,file(finseq_1,fc3_finseq_1)]).

fof(fc4_finseq_1,theorem,(
    ! [A] : 
      ( v1_relat_1(k5_finseq_1(A))
      & v1_funct_1(k5_finseq_1(A))
      & v1_finset_1(k5_finseq_1(A))
      & v1_finseq_1(k5_finseq_1(A)) ) ),
    file(finseq_1,fc4_finseq_1),
    [interesting(0.9),axiom,file(finseq_1,fc4_finseq_1)]).

fof(rc1_finset_1,theorem,(
    ? [A] : 
      ( ~ v1_xboole_0(A)
      & v1_finset_1(A) ) ),
    file(finset_1,rc1_finset_1),
    [interesting(0.9),axiom,file(finset_1,rc1_finset_1)]).

fof(rc1_nat_1,theorem,(
    ? [A] : 
      ( ~ v1_xboole_0(A)
      & v4_ordinal2(A)
      & v1_xcmplx_0(A)
      & v1_xreal_0(A) ) ),
    file(nat_1,rc1_nat_1),
    [interesting(0.9),axiom,file(nat_1,rc1_nat_1)]).

fof(rc1_xreal_0,theorem,(
    ? [A] : 
      ( v1_xcmplx_0(A)
      & v1_xreal_0(A) ) ),
    file(xreal_0,rc1_xreal_0),
    [interesting(0.9),axiom,file(xreal_0,rc1_xreal_0)]).

fof(rc2_nat_1,theorem,(
    ? [A] : 
      ( m1_subset_1(A,k1_zfmisc_1(k1_numbers))
      & ~ v1_xboole_0(A)
      & v3_ordinal1(A) ) ),
    file(nat_1,rc2_nat_1),
    [interesting(0.9),axiom,file(nat_1,rc2_nat_1)]).

fof(rc2_xreal_0,theorem,(
    ? [A] : 
      ( ~ v1_xboole_0(A)
      & v1_xcmplx_0(A)
      & v1_xreal_0(A)
      & v2_xreal_0(A)
      & ~ v3_xreal_0(A) ) ),
    file(xreal_0,rc2_xreal_0),
    [interesting(0.9),axiom,file(xreal_0,rc2_xreal_0)]).

fof(rc3_finset_1,theorem,(
    ! [A] : 
      ( ~ v1_xboole_0(A)
     => ? [B] : 
          ( m1_subset_1(B,k1_zfmisc_1(A))
          & ~ v1_xboole_0(B)
          & v1_finset_1(B) ) ) ),
    file(finset_1,rc3_finset_1),
    [interesting(0.9),axiom,file(finset_1,rc3_finset_1)]).

fof(rc3_nat_1,theorem,(
    ? [A] : 
      ( m1_subset_1(A,k5_numbers)
      & ~ v1_xboole_0(A)
      & v1_ordinal1(A)
      & v2_ordinal1(A)
      & v3_ordinal1(A)
      & v4_ordinal2(A)
      & v1_xcmplx_0(A)
      & v1_xreal_0(A) ) ),
    file(nat_1,rc3_nat_1),
    [interesting(0.9),axiom,file(nat_1,rc3_nat_1)]).

fof(rc3_xreal_0,theorem,(
    ? [A] : 
      ( ~ v1_xboole_0(A)
      & v1_xcmplx_0(A)
      & v1_xreal_0(A)
      & ~ v2_xreal_0(A)
      & v3_xreal_0(A) ) ),
    file(xreal_0,rc3_xreal_0),
    [interesting(0.9),axiom,file(xreal_0,rc3_xreal_0)]).

fof(rc4_finset_1,theorem,(
    ! [A] : 
      ( ~ v1_xboole_0(A)
     => ? [B] : 
          ( m1_subset_1(B,k1_zfmisc_1(A))
          & ~ v1_xboole_0(B)
          & v1_finset_1(B) ) ) ),
    file(finset_1,rc4_finset_1),
    [interesting(0.9),axiom,file(finset_1,rc4_finset_1)]).

fof(rc4_xreal_0,theorem,(
    ? [A] : 
      ( v1_xboole_0(A)
      & v1_xcmplx_0(A)
      & v1_xreal_0(A)
      & ~ v2_xreal_0(A)
      & ~ v3_xreal_0(A) ) ),
    file(xreal_0,rc4_xreal_0),
    [interesting(0.9),axiom,file(xreal_0,rc4_xreal_0)]).

fof(spc1_boole,theorem,(
    ~ v1_xboole_0(1) ),
    file(boole,spc1_boole),
    [interesting(0.9),axiom,file(boole,spc1_boole)]).

fof(spc1_numerals,theorem,
    ( v2_xreal_0(1)
    & m2_subset_1(1,k1_numbers,k5_numbers)
    & m1_subset_1(1,k5_numbers)
    & m1_subset_1(1,k1_numbers) ),
    file(numerals,spc1_numerals),
    [interesting(0.9),axiom,file(numerals,spc1_numerals)]).

fof(antisymmetry_r2_hidden,theorem,(
    ! [A,B] : 
      ( r2_hidden(A,B)
     => ~ r2_hidden(B,A) ) ),
    file(hidden,r2_hidden),
    [interesting(0.9),axiom,file(hidden,r2_hidden)]).

fof(irreflexivity_r2_xboole_0,theorem,(
    ! [A,B] : ~ r2_xboole_0(A,A) ),
    file(xboole_0,r2_xboole_0),
    [interesting(0.9),axiom,file(xboole_0,r2_xboole_0)]).

fof(antisymmetry_r2_xboole_0,theorem,(
    ! [A,B] : 
      ( r2_xboole_0(A,B)
     => ~ r2_xboole_0(B,A) ) ),
    file(xboole_0,r2_xboole_0),
    [interesting(0.9),axiom,file(xboole_0,r2_xboole_0)]).

fof(existence_m1_subset_1,axiom,(
    ! [A] : 
    ? [B] : m1_subset_1(B,A) ),
    file(subset_1,m1_subset_1),
    [interesting(0.9),axiom,file(subset_1,m1_subset_1)]).

fof(existence_m2_finseq_1,axiom,(
    ! [A] : 
    ? [B] : m2_finseq_1(B,A) ),
    file(finseq_1,m2_finseq_1),
    [interesting(0.9),axiom,file(finseq_1,m2_finseq_1)]).

fof(redefinition_k13_binarith,definition,(
    ! [A,B] : 
      ( ( ~ v1_xboole_0(A)
        & m1_subset_1(B,A) )
     => k13_binarith(A,B) = k5_finseq_1(B) ) ),
    file(binarith,k13_binarith),
    [interesting(0.9),axiom,file(binarith,k13_binarith)]).

fof(redefinition_k5_numbers,definition,(
    k5_numbers = k5_ordinal2 ),
    file(numbers,k5_numbers),
    [interesting(0.9),axiom,file(numbers,k5_numbers)]).

fof(redefinition_k8_finseq_1,definition,(
    ! [A,B,C] : 
      ( ( m1_finseq_1(B,A)
        & m1_finseq_1(C,A) )
     => k8_finseq_1(A,B,C) = k7_finseq_1(B,C) ) ),
    file(finseq_1,k8_finseq_1),
    [interesting(0.9),axiom,file(finseq_1,k8_finseq_1)]).

fof(redefinition_m2_finseq_1,definition,(
    ! [A,B] : 
      ( m2_finseq_1(B,A)
    <=> m1_finseq_1(B,A) ) ),
    file(finseq_1,m2_finseq_1),
    [interesting(0.9),axiom,file(finseq_1,m2_finseq_1)]).

fof(dt_k13_binarith,axiom,(
    ! [A,B] : 
      ( ( ~ v1_xboole_0(A)
        & m1_subset_1(B,A) )
     => m2_finseq_2(k13_binarith(A,B),A,k4_finseq_2(1,A)) ) ),
    file(binarith,k13_binarith),
    [interesting(0.9),axiom,file(binarith,k13_binarith)]).

fof(dt_k1_zfmisc_1,axiom,(
    $true ),
    file(zfmisc_1,k1_zfmisc_1),
    [interesting(0.9),axiom,file(zfmisc_1,k1_zfmisc_1)]).

fof(dt_k3_trees_1,axiom,(
    ! [A] : 
      ( ( ~ v1_xboole_0(A)
        & v1_trees_1(A) )
     => m1_subset_1(k3_trees_1(A),k1_zfmisc_1(A)) ) ),
    file(trees_1,k3_trees_1),
    [interesting(0.9),axiom,file(trees_1,k3_trees_1)]).

fof(dt_k5_numbers,axiom,(
    m1_subset_1(k5_numbers,k1_zfmisc_1(k1_numbers)) ),
    file(numbers,k5_numbers),
    [interesting(0.9),axiom,file(numbers,k5_numbers)]).

fof(dt_k8_finseq_1,axiom,(
    ! [A,B,C] : 
      ( ( m1_finseq_1(B,A)
        & m1_finseq_1(C,A) )
     => m2_finseq_1(k8_finseq_1(A,B,C),A) ) ),
    file(finseq_1,k8_finseq_1),
    [interesting(0.9),axiom,file(finseq_1,k8_finseq_1)]).

fof(dt_m1_subset_1,axiom,(
    $true ),
    file(subset_1,m1_subset_1),
    [interesting(0.9),axiom,file(subset_1,m1_subset_1)]).

fof(dt_m2_finseq_1,axiom,(
    ! [A,B] : 
      ( m2_finseq_1(B,A)
     => ( v1_funct_1(B)
        & v1_finseq_1(B)
        & m2_relset_1(B,k5_numbers,A) ) ) ),
    file(finseq_1,m2_finseq_1),
    [interesting(0.9),axiom,file(finseq_1,m2_finseq_1)]).

fof(dt_c1_5__bintree2,assumption,
    ( ~ v1_xboole_0(c1_5__bintree2)
    & v1_trees_1(c1_5__bintree2) ),
    introduced(assumption,[file(bintree2,c1_5__bintree2)]),
    [interesting(0.8),axiom,file(bintree2,c1_5__bintree2)]).

fof(dh_c2_5__bintree2,definition,
    ( ? [A] : r2_hidden(A,k3_trees_1(c1_5__bintree2))
   => r2_hidden(c2_5__bintree2,k3_trees_1(c1_5__bintree2)) ),
    introduced(definition,[new_symbol(c2_5__bintree2),file(bintree2,c2_5__bintree2)]),
    [interesting(0.8),axiom,file(bintree2,c2_5__bintree2)]).

fof(cc1_finset_1,theorem,(
    ! [A] : 
      ( v1_xboole_0(A)
     => v1_finset_1(A) ) ),
    file(finset_1,cc1_finset_1),
    [interesting(0.9),axiom,file(finset_1,cc1_finset_1)]).

fof(fc1_subset_1,theorem,(
    ! [A] : ~ v1_xboole_0(k1_zfmisc_1(A)) ),
    file(subset_1,fc1_subset_1),
    [interesting(0.9),axiom,file(subset_1,fc1_subset_1)]).

fof(rc1_subset_1,theorem,(
    ! [A] : 
      ( ~ v1_xboole_0(A)
     => ? [B] : 
          ( m1_subset_1(B,k1_zfmisc_1(A))
          & ~ v1_xboole_0(B) ) ) ),
    file(subset_1,rc1_subset_1),
    [interesting(0.9),axiom,file(subset_1,rc1_subset_1)]).

fof(rc2_subset_1,theorem,(
    ! [A] : 
    ? [B] : 
      ( m1_subset_1(B,k1_zfmisc_1(A))
      & v1_xboole_0(B) ) ),
    file(subset_1,rc2_subset_1),
    [interesting(0.9),axiom,file(subset_1,rc2_subset_1)]).

fof(t2_subset,theorem,(
    ! [A,B] : 
      ( m1_subset_1(A,B)
     => ( v1_xboole_0(B)
        | r2_hidden(A,B) ) ) ),
    file(subset,t2_subset),
    [interesting(0.9),axiom,file(subset,t2_subset)]).

fof(t3_subset,theorem,(
    ! [A,B] : 
      ( m1_subset_1(A,k1_zfmisc_1(B))
    <=> r1_tarski(A,B) ) ),
    file(subset,t3_subset),
    [interesting(0.9),axiom,file(subset,t3_subset)]).

fof(t4_subset,theorem,(
    ! [A,B,C] : 
      ( ( r2_hidden(A,B)
        & m1_subset_1(B,k1_zfmisc_1(C)) )
     => m1_subset_1(A,C) ) ),
    file(subset,t4_subset),
    [interesting(0.9),axiom,file(subset,t4_subset)]).

fof(t5_subset,theorem,(
    ! [A,B,C] : 
      ~ ( r2_hidden(A,B)
        & m1_subset_1(B,k1_zfmisc_1(C))
        & v1_xboole_0(C) ) ),
    file(subset,t5_subset),
    [interesting(0.9),axiom,file(subset,t5_subset)]).

fof(t8_boole,theorem,(
    ! [A,B] : 
      ~ ( v1_xboole_0(A)
        & A != B
        & v1_xboole_0(B) ) ),
    file(boole,t8_boole),
    [interesting(0.9),axiom,file(boole,t8_boole)]).

fof(t1_subset,theorem,(
    ! [A,B] : 
      ( r2_hidden(A,B)
     => m1_subset_1(A,B) ) ),
    file(subset,t1_subset),
    [interesting(0.9),axiom,file(subset,t1_subset)]).

fof(t6_boole,theorem,(
    ! [A] : 
      ( v1_xboole_0(A)
     => A = k1_xboole_0 ) ),
    file(boole,t6_boole),
    [interesting(0.9),axiom,file(boole,t6_boole)]).

fof(t7_boole,theorem,(
    ! [A,B] : 
      ~ ( r2_hidden(A,B)
        & v1_xboole_0(B) ) ),
    file(boole,t7_boole),
    [interesting(0.9),axiom,file(boole,t7_boole)]).

fof(d1_xboole_0,definition,(
    ! [A] : 
      ( A = k1_xboole_0
    <=> ! [B] : ~ r2_hidden(B,A) ) ),
    file(xboole_0,d1_xboole_0),
    [interesting(0.9),axiom,file(xboole_0,d1_xboole_0)]).

fof(e3_5__bintree2,plain,(
    ? [A] : r2_hidden(A,k3_trees_1(c1_5__bintree2)) ),
    inference(mizar_by,[status(thm),assumptions([dt_c1_5__bintree2,e2_5__bintree2])],[rc3_trees_9,reflexivity_r1_tarski,cc3_trees_9,rc1_trees_2,existence_m1_subset_1,dt_k1_zfmisc_1,dt_m1_subset_1,cc1_finseq_1,cc1_finset_1,cc1_trees_9,cc2_finset_1,fc1_subset_1,rc1_finseq_1,rc1_finset_1,rc1_margrel1,rc1_subset_1,rc2_subset_1,rc3_finseq_1,rc3_finset_1,rc4_finset_1,rc6_finseq_1,rc6_trees_9,rc7_finseq_1,rc8_finseq_1,t2_subset,t3_subset,t4_subset,t5_subset,t8_boole,antisymmetry_r2_hidden,dt_k1_xboole_0,dt_k3_trees_1,dt_c1_5__bintree2,fc1_margrel1,fc2_finseq_1,t1_subset,t6_boole,t7_boole,e2_5__bintree2,d1_xboole_0]),
    [interesting(0.8),file(bintree2,e3_5__bintree2),[file(bintree2,e3_5__bintree2)]]).

fof(dt_c2_5__bintree2,plain,(
    $true ),
    inference(consider,[status(thm),assumptions([dt_c1_5__bintree2,e2_5__bintree2])],[dh_c2_5__bintree2,e3_5__bintree2]),
    [interesting(0.8),file(bintree2,c2_5__bintree2),[file(bintree2,c2_5__bintree2)]]).

fof(cc1_nat_1,theorem,(
    ! [A] : 
      ( m1_subset_1(A,k5_numbers)
     => ( v1_ordinal1(A)
        & v2_ordinal1(A)
        & v3_ordinal1(A)
        & v4_ordinal2(A)
        & v1_xcmplx_0(A)
        & v1_xreal_0(A) ) ) ),
    file(nat_1,cc1_nat_1),
    [interesting(0.9),axiom,file(nat_1,cc1_nat_1)]).

fof(cc2_nat_1,theorem,(
    ! [A] : 
      ( m1_subset_1(A,k5_numbers)
     => ( v1_ordinal1(A)
        & v2_ordinal1(A)
        & v3_ordinal1(A)
        & v4_ordinal2(A)
        & v1_xcmplx_0(A)
        & v1_xreal_0(A)
        & ~ v3_xreal_0(A) ) ) ),
    file(nat_1,cc2_nat_1),
    [interesting(0.9),axiom,file(nat_1,cc2_nat_1)]).

fof(de_c4_5__bintree2,definition,(
    c4_5__bintree2 = c2_5__bintree2 ),
    introduced(definition,[new_symbol(c4_5__bintree2),file(bintree2,c4_5__bintree2)]),
    [interesting(0.8),axiom,file(bintree2,c4_5__bintree2)]).

fof(rc2_margrel1,theorem,(
    ? [A] : v2_margrel1(A) ),
    file(margrel1,rc2_margrel1),
    [interesting(0.9),axiom,file(margrel1,rc2_margrel1)]).

fof(existence_m1_trees_1,axiom,(
    ! [A] : 
      ( ( ~ v1_xboole_0(A)
        & v1_trees_1(A) )
     => ? [B] : m1_trees_1(B,A) ) ),
    file(trees_1,m1_trees_1),
    [interesting(0.9),axiom,file(trees_1,m1_trees_1)]).

fof(redefinition_m1_trees_1,definition,(
    ! [A] : 
      ( ( ~ v1_xboole_0(A)
        & v1_trees_1(A) )
     => ! [B] : 
          ( m1_trees_1(B,A)
        <=> m1_subset_1(B,A) ) ) ),
    file(trees_1,m1_trees_1),
    [interesting(0.9),axiom,file(trees_1,m1_trees_1)]).

fof(dt_m1_trees_1,axiom,(
    ! [A] : 
      ( ( ~ v1_xboole_0(A)
        & v1_trees_1(A) )
     => ! [B] : 
          ( m1_trees_1(B,A)
         => m2_finseq_1(B,k5_numbers) ) ) ),
    file(trees_1,m1_trees_1),
    [interesting(0.9),axiom,file(trees_1,m1_trees_1)]).

fof(cc1_margrel1,theorem,(
    ! [A] : 
      ( m1_subset_1(A,k6_margrel1)
     => v2_margrel1(A) ) ),
    file(margrel1,cc1_margrel1),
    [interesting(0.9),axiom,file(margrel1,cc1_margrel1)]).

fof(dt_k6_margrel1,axiom,(
    $true ),
    file(margrel1,k6_margrel1),
    [interesting(0.9),axiom,file(margrel1,k6_margrel1)]).

fof(de_c3_5__bintree2,definition,(
    c3_5__bintree2 = c2_5__bintree2 ),
    introduced(definition,[new_symbol(c3_5__bintree2),file(bintree2,c3_5__bintree2)]),
    [interesting(0.8),axiom,file(bintree2,c3_5__bintree2)]).

fof(e4_5__bintree2,plain,(
    r2_hidden(c2_5__bintree2,k3_trees_1(c1_5__bintree2)) ),
    inference(consider,[status(thm),assumptions([dt_c1_5__bintree2,e2_5__bintree2])],[dh_c2_5__bintree2,e3_5__bintree2]),
    [interesting(0.8),file(bintree2,e4_5__bintree2),[file(bintree2,e4_5__bintree2)]]).

fof(e5_5__bintree2,plain,(
    m1_trees_1(c2_5__bintree2,c1_5__bintree2) ),
    inference(mizar_by,[status(thm),assumptions([dt_c1_5__bintree2,e2_5__bintree2])],[rc3_trees_9,existence_m1_relset_1,dt_k2_zfmisc_1,dt_m1_relset_1,cc1_finseq_1,cc1_relset_1,cc3_trees_9,cc3_xreal_0,cc6_xreal_0,cc8_xreal_0,fc14_finset_1,fc4_subset_1,rc1_finseq_1,rc1_margrel1,rc1_trees_2,rc2_finseq_1,rc2_finset_1,rc2_xreal_0,rc3_finseq_1,rc3_xreal_0,rc4_finseq_1,rc4_xreal_0,rc5_trees_9,rc6_finseq_1,rc6_trees_9,rc7_finseq_1,rc8_finseq_1,rc9_trees_2,reflexivity_r1_tarski,existence_m1_finseq_1,existence_m2_relset_1,redefinition_m2_relset_1,dt_k1_numbers,dt_k1_xboole_0,dt_k5_ordinal2,dt_m1_finseq_1,dt_m2_relset_1,cc1_trees_9,cc1_xreal_0,cc2_finset_1,cc2_xreal_0,cc3_nat_1,cc4_xreal_0,cc5_xreal_0,cc7_xreal_0,fc1_margrel1,fc1_ordinal2,fc2_finseq_1,rc1_finset_1,rc1_nat_1,rc1_xreal_0,rc2_nat_1,rc3_finset_1,rc3_nat_1,rc4_finset_1,t8_boole,existence_m1_subset_1,existence_m2_finseq_1,redefinition_k5_numbers,redefinition_m2_finseq_1,dt_k1_zfmisc_1,dt_k5_numbers,dt_m1_subset_1,dt_m2_finseq_1,cc1_finset_1,cc1_nat_1,cc2_nat_1,fc1_subset_1,rc1_subset_1,rc2_subset_1,t2_subset,t3_subset,t4_subset,t5_subset,t6_boole,antisymmetry_r2_hidden,existence_m1_trees_1,redefinition_m1_trees_1,dt_k3_trees_1,dt_m1_trees_1,dt_c1_5__bintree2,dt_c2_5__bintree2,t1_subset,t7_boole,e4_5__bintree2]),
    [interesting(0.8),file(bintree2,e5_5__bintree2),[file(bintree2,e5_5__bintree2)]]).

fof(dt_c3_5__bintree2,plain,(
    m1_trees_1(c3_5__bintree2,c1_5__bintree2) ),
    inference(mizar_by,[status(thm),assumptions([dt_c1_5__bintree2,e2_5__bintree2])],[rc3_trees_9,reflexivity_r1_tarski,existence_m1_relset_1,dt_k2_zfmisc_1,dt_m1_relset_1,cc1_finseq_1,cc1_relset_1,cc3_trees_9,cc3_xreal_0,cc6_xreal_0,cc8_xreal_0,fc14_finset_1,fc4_subset_1,rc1_finseq_1,rc1_margrel1,rc1_trees_2,rc2_finseq_1,rc2_finset_1,rc2_xreal_0,rc3_finseq_1,rc3_xreal_0,rc4_finseq_1,rc4_xreal_0,rc5_trees_9,rc6_finseq_1,rc6_trees_9,rc7_finseq_1,rc8_finseq_1,rc9_trees_2,antisymmetry_r2_hidden,existence_m1_finseq_1,existence_m2_relset_1,redefinition_m2_relset_1,dt_k1_numbers,dt_k1_xboole_0,dt_k1_zfmisc_1,dt_k5_ordinal2,dt_m1_finseq_1,dt_m2_relset_1,cc1_trees_9,cc1_xreal_0,cc2_finset_1,cc2_xreal_0,cc3_nat_1,cc4_xreal_0,cc5_xreal_0,cc7_xreal_0,fc1_margrel1,fc1_ordinal2,fc1_subset_1,fc2_finseq_1,rc1_finset_1,rc1_nat_1,rc1_subset_1,rc1_xreal_0,rc2_nat_1,rc2_subset_1,rc3_finset_1,rc3_nat_1,rc4_finset_1,t1_subset,t3_subset,t4_subset,t5_subset,existence_m1_subset_1,existence_m2_finseq_1,redefinition_k5_numbers,redefinition_m2_finseq_1,dt_k5_numbers,dt_m1_subset_1,dt_m2_finseq_1,cc1_finset_1,cc1_nat_1,cc2_nat_1,t2_subset,t6_boole,t7_boole,t8_boole,existence_m1_trees_1,redefinition_m1_trees_1,dt_m1_trees_1,dt_c1_5__bintree2,dt_c2_5__bintree2,de_c3_5__bintree2,e5_5__bintree2]),
    [interesting(0.8),file(bintree2,c3_5__bintree2),[file(bintree2,c3_5__bintree2)]]).

fof(fc3_margrel1,theorem,(
    ~ v1_xboole_0(k6_margrel1) ),
    file(margrel1,fc3_margrel1),
    [interesting(0.9),axiom,file(margrel1,fc3_margrel1)]).

fof(rc1_bintree1,theorem,(
    ? [A] : 
      ( ~ v1_xboole_0(A)
      & v1_finset_1(A)
      & v1_trees_1(A)
      & v1_bintree1(A) ) ),
    file(bintree1,rc1_bintree1),
    [interesting(0.9),axiom,file(bintree1,rc1_bintree1)]).

fof(cc1_bintree1,theorem,(
    ! [A] : 
      ( ( ~ v1_xboole_0(A)
        & v1_trees_1(A)
        & v1_bintree1(A) )
     => ( ~ v1_xboole_0(A)
        & v1_trees_1(A)
        & v1_trees_2(A) ) ) ),
    file(bintree1,cc1_bintree1),
    [interesting(0.9),axiom,file(bintree1,cc1_bintree1)]).

fof(commutativity_k2_tarski,theorem,(
    ! [A,B] : k2_tarski(A,B) = k2_tarski(B,A) ),
    file(tarski,k2_tarski),
    [interesting(0.9),axiom,file(tarski,k2_tarski)]).

fof(dt_k13_finseq_1,axiom,(
    $true ),
    file(finseq_1,k13_finseq_1),
    [interesting(0.9),axiom,file(finseq_1,k13_finseq_1)]).

fof(dt_k2_tarski,axiom,(
    $true ),
    file(tarski,k2_tarski),
    [interesting(0.9),axiom,file(tarski,k2_tarski)]).

fof(fc16_finseq_1,theorem,(
    ! [A] : 
      ( ~ v1_xboole_0(k13_finseq_1(A))
      & v1_fraenkel(k13_finseq_1(A)) ) ),
    file(finseq_1,fc16_finseq_1),
    [interesting(0.9),axiom,file(finseq_1,fc16_finseq_1)]).

fof(fc2_finset_1,theorem,(
    ! [A,B] : 
      ( ~ v1_xboole_0(k2_tarski(A,B))
      & v1_finset_1(k2_tarski(A,B)) ) ),
    file(finset_1,fc2_finset_1),
    [interesting(0.9),axiom,file(finset_1,fc2_finset_1)]).

fof(fc3_subset_1,theorem,(
    ! [A,B] : ~ v1_xboole_0(k2_tarski(A,B)) ),
    file(subset_1,fc3_subset_1),
    [interesting(0.9),axiom,file(subset_1,fc3_subset_1)]).

fof(fc9_finseq_1,theorem,(
    ! [A] : ~ v1_xboole_0(k13_finseq_1(A)) ),
    file(finseq_1,fc9_finseq_1),
    [interesting(0.9),axiom,file(finseq_1,fc9_finseq_1)]).

fof(t1_numerals,theorem,(
    m1_subset_1(0,k5_numbers) ),
    file(numerals,t1_numerals),
    [interesting(0.9),axiom,file(numerals,t1_numerals)]).

fof(commutativity_k7_domain_1,theorem,(
    ! [A,B,C] : 
      ( ( ~ v1_xboole_0(A)
        & m1_subset_1(B,A)
        & m1_subset_1(C,A) )
     => k7_domain_1(A,B,C) = k7_domain_1(A,C,B) ) ),
    file(domain_1,k7_domain_1),
    [interesting(0.9),axiom,file(domain_1,k7_domain_1)]).

fof(redefinition_k3_finseq_2,definition,(
    ! [A] : k3_finseq_2(A) = k13_finseq_1(A) ),
    file(finseq_2,k3_finseq_2),
    [interesting(0.9),axiom,file(finseq_2,k3_finseq_2)]).

fof(redefinition_k7_domain_1,definition,(
    ! [A,B,C] : 
      ( ( ~ v1_xboole_0(A)
        & m1_subset_1(B,A)
        & m1_subset_1(C,A) )
     => k7_domain_1(A,B,C) = k2_tarski(B,C) ) ),
    file(domain_1,k7_domain_1),
    [interesting(0.9),axiom,file(domain_1,k7_domain_1)]).

fof(dt_k3_finseq_2,axiom,(
    ! [A] : 
      ( ~ v1_xboole_0(k3_finseq_2(A))
      & m1_finseq_2(k3_finseq_2(A),A) ) ),
    file(finseq_2,k3_finseq_2),
    [interesting(0.9),axiom,file(finseq_2,k3_finseq_2)]).

fof(dt_k7_domain_1,axiom,(
    ! [A,B,C] : 
      ( ( ~ v1_xboole_0(A)
        & m1_subset_1(B,A)
        & m1_subset_1(C,A) )
     => m1_subset_1(k7_domain_1(A,B,C),k1_zfmisc_1(A)) ) ),
    file(domain_1,k7_domain_1),
    [interesting(0.9),axiom,file(domain_1,k7_domain_1)]).

fof(spc0_boole,theorem,(
    v1_xboole_0(0) ),
    file(boole,spc0_boole),
    [interesting(0.9),axiom,file(boole,spc0_boole)]).

fof(spc0_numerals,theorem,
    ( v2_xreal_0(0)
    & m2_subset_1(0,k1_numbers,k5_numbers)
    & m1_subset_1(0,k5_numbers)
    & m1_subset_1(0,k1_numbers) ),
    file(numerals,spc0_numerals),
    [interesting(0.9),axiom,file(numerals,spc0_numerals)]).

fof(t3_bintree2,theorem,(
    ! [A] : 
      ( ( ~ v1_xboole_0(A)
        & v1_trees_1(A) )
     => ( A = k3_finseq_2(k7_domain_1(k5_numbers,0,1))
       => v1_bintree1(A) ) ) ),
    file(bintree2,t3_bintree2),
    [interesting(0.9),axiom,file(bintree2,t3_bintree2)]).

fof(e6_5__bintree2,plain,(
    v1_bintree1(c1_5__bintree2) ),
    inference(mizar_by,[status(thm),assumptions([dt_c1_5__bintree2,e1_5__bintree2])],[reflexivity_r1_tarski,cc1_finseq_1,cc1_xreal_0,cc2_xreal_0,cc3_nat_1,cc3_xreal_0,cc4_xreal_0,cc5_xreal_0,cc6_xreal_0,cc7_xreal_0,cc8_xreal_0,rc1_finseq_1,rc1_margrel1,rc1_nat_1,rc1_xreal_0,rc2_finset_1,rc2_nat_1,rc2_xreal_0,rc3_finseq_1,rc3_nat_1,rc3_trees_9,rc3_xreal_0,rc4_xreal_0,rc6_finseq_1,rc6_trees_9,rc7_finseq_1,rc8_finseq_1,commutativity_k2_tarski,antisymmetry_r2_hidden,existence_m1_finseq_2,existence_m1_subset_1,existence_m2_subset_1,redefinition_m2_subset_1,dt_k13_finseq_1,dt_k1_numbers,dt_k1_xboole_0,dt_k1_zfmisc_1,dt_k2_tarski,dt_k5_ordinal2,dt_m1_finseq_2,dt_m1_subset_1,dt_m2_subset_1,cc1_nat_1,cc1_trees_9,cc2_finset_1,cc2_nat_1,cc3_trees_9,fc16_finseq_1,fc1_margrel1,fc1_ordinal2,fc1_subset_1,fc2_finseq_1,fc2_finset_1,fc3_subset_1,fc9_finseq_1,rc1_bintree1,rc1_finset_1,rc1_subset_1,rc1_trees_2,rc2_subset_1,rc3_finset_1,rc4_finset_1,t1_numerals,t1_subset,t2_subset,t3_subset,t4_subset,t5_subset,commutativity_k7_domain_1,redefinition_k3_finseq_2,redefinition_k5_numbers,redefinition_k7_domain_1,dt_k3_finseq_2,dt_k5_numbers,dt_k7_domain_1,dt_c1_5__bintree2,cc1_bintree1,cc1_finset_1,spc0_boole,spc1_boole,t6_boole,t7_boole,t8_boole,spc0_numerals,spc1_numerals,spc0_boole,spc1_boole,e1_5__bintree2,t3_bintree2]),
    [interesting(0.8),file(bintree2,e6_5__bintree2),[file(bintree2,e6_5__bintree2)]]).

fof(t2_bintree2,theorem,(
    ! [A] : 
      ( ( ~ v1_xboole_0(A)
        & v1_trees_1(A)
        & v1_bintree1(A) )
     => ! [B] : 
          ( m1_trees_1(B,A)
         => m2_finseq_1(B,k6_margrel1) ) ) ),
    file(bintree2,t2_bintree2),
    [interesting(0.9),axiom,file(bintree2,t2_bintree2)]).

fof(e7_5__bintree2,plain,(
    m2_finseq_1(c3_5__bintree2,k6_margrel1) ),
    inference(mizar_by,[status(thm),assumptions([e2_5__bintree2,dt_c1_5__bintree2,e1_5__bintree2])],[reflexivity_r1_tarski,cc3_xreal_0,cc6_xreal_0,cc8_xreal_0,rc2_xreal_0,rc3_xreal_0,rc4_xreal_0,existence_m1_relset_1,dt_k1_numbers,dt_k1_zfmisc_1,dt_k2_zfmisc_1,dt_k5_ordinal2,dt_m1_relset_1,cc1_finseq_1,cc1_relset_1,cc1_xreal_0,cc2_finset_1,cc2_xreal_0,cc3_nat_1,cc4_xreal_0,cc5_xreal_0,cc7_xreal_0,fc14_finset_1,fc1_ordinal2,fc1_subset_1,fc4_subset_1,rc1_finseq_1,rc1_margrel1,rc1_nat_1,rc1_subset_1,rc1_xreal_0,rc2_finseq_1,rc2_finset_1,rc2_margrel1,rc2_nat_1,rc2_subset_1,rc3_finseq_1,rc3_finset_1,rc3_nat_1,rc3_trees_9,rc4_finseq_1,rc4_finset_1,rc5_trees_9,rc6_finseq_1,rc6_trees_9,rc7_finseq_1,rc8_finseq_1,rc9_trees_2,t3_subset,t4_subset,t5_subset,antisymmetry_r2_hidden,existence_m1_finseq_1,existence_m1_subset_1,existence_m2_relset_1,redefinition_k5_numbers,redefinition_m2_relset_1,dt_k1_xboole_0,dt_k5_numbers,dt_m1_finseq_1,dt_m1_subset_1,dt_m2_relset_1,dt_c2_5__bintree2,cc1_margrel1,cc1_nat_1,cc1_trees_9,cc2_nat_1,cc3_trees_9,fc1_margrel1,fc2_finseq_1,rc1_bintree1,rc1_finset_1,rc1_trees_2,t1_subset,t2_subset,t8_boole,existence_m1_trees_1,existence_m2_finseq_1,redefinition_m1_trees_1,redefinition_m2_finseq_1,dt_k6_margrel1,dt_m1_trees_1,dt_m2_finseq_1,dt_c1_5__bintree2,dt_c3_5__bintree2,de_c3_5__bintree2,cc1_bintree1,cc1_finset_1,fc3_margrel1,t6_boole,t7_boole,e6_5__bintree2,t2_bintree2]),
    [interesting(0.8),file(bintree2,e7_5__bintree2),[file(bintree2,e7_5__bintree2)]]).

fof(e8_5__bintree2,plain,(
    m2_finseq_1(c2_5__bintree2,k5_numbers) ),
    inference(mizar_by,[status(thm),assumptions([e2_5__bintree2,dt_c1_5__bintree2,e1_5__bintree2])],[rc3_trees_9,cc3_trees_9,cc3_xreal_0,cc6_xreal_0,cc8_xreal_0,rc1_margrel1,rc1_trees_2,rc2_finset_1,rc2_xreal_0,rc3_finseq_1,rc3_xreal_0,rc4_finseq_1,rc4_xreal_0,rc5_trees_9,rc6_finseq_1,rc6_trees_9,reflexivity_r1_tarski,antisymmetry_r2_hidden,existence_m1_relset_1,dt_k1_xboole_0,dt_k2_zfmisc_1,dt_m1_relset_1,cc1_finseq_1,cc1_relset_1,cc1_trees_9,cc1_xreal_0,cc2_finset_1,cc2_xreal_0,cc3_nat_1,cc4_xreal_0,cc5_xreal_0,cc7_xreal_0,fc14_finset_1,fc1_margrel1,fc2_finseq_1,fc4_subset_1,rc1_finseq_1,rc1_finset_1,rc1_nat_1,rc1_xreal_0,rc2_finseq_1,rc2_margrel1,rc2_nat_1,rc3_finset_1,rc3_nat_1,rc4_finset_1,rc7_finseq_1,rc8_finseq_1,rc9_trees_2,t1_subset,t4_subset,t5_subset,existence_m1_finseq_1,existence_m1_subset_1,existence_m1_trees_1,existence_m2_relset_1,redefinition_m1_trees_1,redefinition_m2_relset_1,dt_k1_numbers,dt_k1_zfmisc_1,dt_k5_ordinal2,dt_m1_finseq_1,dt_m1_subset_1,dt_m1_trees_1,dt_m2_relset_1,dt_c1_5__bintree2,cc1_finset_1,cc1_margrel1,cc1_nat_1,cc2_nat_1,fc1_ordinal2,fc1_subset_1,rc1_subset_1,rc2_subset_1,t2_subset,t3_subset,t6_boole,t7_boole,t8_boole,existence_m2_finseq_1,redefinition_k5_numbers,redefinition_m2_finseq_1,dt_k5_numbers,dt_k6_margrel1,dt_m2_finseq_1,dt_c2_5__bintree2,dt_c3_5__bintree2,de_c3_5__bintree2,fc3_margrel1,e7_5__bintree2]),
    [interesting(0.8),file(bintree2,e8_5__bintree2),[file(bintree2,e8_5__bintree2)]]).

fof(dt_c4_5__bintree2,plain,(
    m2_finseq_1(c4_5__bintree2,k5_numbers) ),
    inference(mizar_by,[status(thm),assumptions([e2_5__bintree2,dt_c1_5__bintree2,e1_5__bintree2])],[rc1_margrel1,rc2_finset_1,rc3_finseq_1,rc4_finseq_1,rc5_trees_9,rc6_finseq_1,antisymmetry_r2_hidden,dt_k1_xboole_0,cc2_finset_1,cc3_xreal_0,cc6_xreal_0,cc8_xreal_0,fc14_finset_1,fc1_margrel1,fc2_finseq_1,rc1_finset_1,rc2_finseq_1,rc2_xreal_0,rc3_finset_1,rc3_xreal_0,rc4_finset_1,rc4_xreal_0,rc7_finseq_1,rc8_finseq_1,t1_subset,t4_subset,t5_subset,reflexivity_r1_tarski,existence_m1_relset_1,dt_k2_zfmisc_1,dt_m1_relset_1,cc1_finseq_1,cc1_finset_1,cc1_relset_1,cc1_xreal_0,cc2_xreal_0,cc3_nat_1,cc4_xreal_0,cc5_xreal_0,cc7_xreal_0,fc4_subset_1,rc1_finseq_1,rc1_nat_1,rc1_subset_1,rc1_xreal_0,rc2_nat_1,rc2_subset_1,rc3_nat_1,rc9_trees_2,t2_subset,t6_boole,t7_boole,t8_boole,existence_m1_finseq_1,existence_m1_subset_1,existence_m2_relset_1,redefinition_m2_relset_1,dt_k1_numbers,dt_k1_zfmisc_1,dt_k5_ordinal2,dt_m1_finseq_1,dt_m1_subset_1,dt_m2_relset_1,cc1_nat_1,cc2_nat_1,fc1_ordinal2,fc1_subset_1,t3_subset,existence_m2_finseq_1,redefinition_k5_numbers,redefinition_m2_finseq_1,dt_k5_numbers,dt_m2_finseq_1,dt_c2_5__bintree2,de_c4_5__bintree2,e8_5__bintree2]),
    [interesting(0.8),file(bintree2,c4_5__bintree2),[file(bintree2,c4_5__bintree2)]]).

fof(redefinition_k9_finseq_1,definition,(
    ! [A] : k9_finseq_1(A) = k5_finseq_1(A) ),
    file(finseq_1,k9_finseq_1),
    [interesting(0.9),axiom,file(finseq_1,k9_finseq_1)]).

fof(dt_k9_finseq_1,axiom,(
    ! [A] : 
      ( v1_relat_1(k9_finseq_1(A))
      & v1_funct_1(k9_finseq_1(A)) ) ),
    file(finseq_1,k9_finseq_1),
    [interesting(0.9),axiom,file(finseq_1,k9_finseq_1)]).

fof(t31_trees_1,theorem,(
    ! [A,B] : 
      ( ( v1_relat_1(B)
        & v1_funct_1(B)
        & v1_finseq_1(B) )
     => ! [C] : 
          ( ( v1_relat_1(C)
            & v1_funct_1(C)
            & v1_finseq_1(C) )
         => ( r1_tarski(B,C)
           => r2_xboole_0(B,k7_finseq_1(C,k9_finseq_1(A))) ) ) ) ),
    file(trees_1,t31_trees_1),
    [interesting(0.9),axiom,file(trees_1,t31_trees_1)]).

fof(e14_5__bintree2,plain,(
    r2_xboole_0(c4_5__bintree2,k8_finseq_1(k5_numbers,c4_5__bintree2,k13_binarith(k5_numbers,0))) ),
    inference(mizar_by,[status(thm),assumptions([e2_5__bintree2,dt_c1_5__bintree2,e1_5__bintree2])],[existence_m1_relset_1,dt_k2_zfmisc_1,dt_m1_relset_1,cc1_relset_1,fc14_finset_1,fc4_subset_1,rc1_margrel1,rc2_finseq_1,rc2_finset_1,rc3_finseq_1,rc4_finseq_1,rc5_trees_9,rc6_finseq_1,rc9_trees_2,antisymmetry_r2_hidden,existence_m1_finseq_2,existence_m2_relset_1,redefinition_m2_relset_1,dt_k1_xboole_0,dt_m1_finseq_2,dt_m2_relset_1,cc1_xreal_0,cc2_xreal_0,cc3_nat_1,cc3_xreal_0,cc4_xreal_0,cc5_xreal_0,cc6_xreal_0,cc7_xreal_0,cc8_xreal_0,fc1_margrel1,fc2_finseq_1,rc1_nat_1,rc1_xreal_0,rc2_nat_1,rc2_xreal_0,rc3_nat_1,rc3_xreal_0,rc4_xreal_0,t1_subset,t4_subset,t5_subset,existence_m1_finseq_1,existence_m1_subset_1,existence_m2_finseq_1,existence_m2_finseq_2,existence_m2_subset_1,redefinition_m2_finseq_1,redefinition_m2_finseq_2,redefinition_m2_subset_1,dt_k1_numbers,dt_k1_zfmisc_1,dt_k4_finseq_2,dt_k5_finseq_1,dt_k5_ordinal2,dt_m1_finseq_1,dt_m1_subset_1,dt_m2_finseq_1,dt_m2_finseq_2,dt_m2_subset_1,dt_c2_5__bintree2,cc1_finset_1,cc1_nat_1,cc2_finset_1,cc2_nat_1,fc12_finseq_1,fc13_finseq_1,fc14_finseq_1,fc1_ordinal2,fc1_subset_1,fc3_finseq_1,fc4_finseq_1,rc1_finset_1,rc1_subset_1,rc2_subset_1,rc3_finset_1,rc4_finset_1,rc7_finseq_1,rc8_finseq_1,spc1_boole,spc1_numerals,t1_numerals,t2_subset,t6_boole,t7_boole,t8_boole,spc1_numerals,spc1_boole,reflexivity_r1_tarski,irreflexivity_r2_xboole_0,antisymmetry_r2_xboole_0,redefinition_k13_binarith,redefinition_k5_numbers,redefinition_k8_finseq_1,redefinition_k9_finseq_1,dt_k13_binarith,dt_k5_numbers,dt_k7_finseq_1,dt_k8_finseq_1,dt_k9_finseq_1,dt_c4_5__bintree2,de_c4_5__bintree2,cc1_finseq_1,rc1_finseq_1,t3_subset,spc0_numerals,spc0_boole,t31_trees_1]),
    [interesting(0.8),file(bintree2,e14_5__bintree2),[file(bintree2,e14_5__bintree2)]]).

fof(dt_k1_tarski,axiom,(
    $true ),
    file(tarski,k1_tarski),
    [interesting(0.9),axiom,file(tarski,k1_tarski)]).

fof(fc1_finset_1,theorem,(
    ! [A] : 
      ( ~ v1_xboole_0(k1_tarski(A))
      & v1_finset_1(k1_tarski(A)) ) ),
    file(finset_1,fc1_finset_1),
    [interesting(0.9),axiom,file(finset_1,fc1_finset_1)]).

fof(fc2_subset_1,theorem,(
    ! [A] : ~ v1_xboole_0(k1_tarski(A)) ),
    file(subset_1,fc2_subset_1),
    [interesting(0.9),axiom,file(subset_1,fc2_subset_1)]).

fof(redefinition_k12_finseq_1,definition,(
    ! [A,B] : 
      ( ( ~ v1_xboole_0(A)
        & m1_subset_1(B,A) )
     => k12_finseq_1(A,B) = k5_finseq_1(B) ) ),
    file(finseq_1,k12_finseq_1),
    [interesting(0.9),axiom,file(finseq_1,k12_finseq_1)]).

fof(redefinition_k6_domain_1,definition,(
    ! [A,B] : 
      ( ( ~ v1_xboole_0(A)
        & m1_subset_1(B,A) )
     => k6_domain_1(A,B) = k1_tarski(B) ) ),
    file(domain_1,k6_domain_1),
    [interesting(0.9),axiom,file(domain_1,k6_domain_1)]).

fof(dt_k12_finseq_1,axiom,(
    ! [A,B] : 
      ( ( ~ v1_xboole_0(A)
        & m1_subset_1(B,A) )
     => m2_finseq_1(k12_finseq_1(A,B),A) ) ),
    file(finseq_1,k12_finseq_1),
    [interesting(0.9),axiom,file(finseq_1,k12_finseq_1)]).

fof(dt_k6_domain_1,axiom,(
    ! [A,B] : 
      ( ( ~ v1_xboole_0(A)
        & m1_subset_1(B,A) )
     => m1_subset_1(k6_domain_1(A,B),k1_zfmisc_1(A)) ) ),
    file(domain_1,k6_domain_1),
    [interesting(0.9),axiom,file(domain_1,k6_domain_1)]).

fof(dt_c1_5_1__bintree2,assumption,(
    $true ),
    introduced(assumption,[file(bintree2,c1_5_1__bintree2)]),
    [interesting(0.65),axiom,file(bintree2,c1_5_1__bintree2)]).

fof(d3_tarski,definition,(
    ! [A,B] : 
      ( r1_tarski(A,B)
    <=> ! [C] : 
          ( r2_hidden(C,A)
         => r2_hidden(C,B) ) ) ),
    file(tarski,d3_tarski),
    [interesting(0.9),axiom,file(tarski,d3_tarski)]).

fof(dh_c1_5_1__bintree2,definition,
    ( ~ ( r2_hidden(c1_5_1__bintree2,k6_domain_1(k5_numbers,0))
        & ~ r2_hidden(c1_5_1__bintree2,k6_margrel1) )
   => ! [A] : 
        ~ ( r2_hidden(A,k6_domain_1(k5_numbers,0))
          & ~ r2_hidden(A,k6_margrel1) ) ),
    introduced(definition,[new_symbol(c1_5_1__bintree2),file(bintree2,c1_5_1__bintree2)]),
    [interesting(0.65),axiom,file(bintree2,c1_5_1__bintree2)]).

fof(e1_5_1__bintree2,assumption,(
    r2_hidden(c1_5_1__bintree2,k6_domain_1(k5_numbers,0)) ),
    introduced(assumption,[file(bintree2,e1_5_1__bintree2)]),
    [interesting(0.65),axiom,file(bintree2,e1_5_1__bintree2)]).

fof(dt_k7_margrel1,axiom,(
    m1_subset_1(k7_margrel1,k6_margrel1) ),
    file(margrel1,k7_margrel1),
    [interesting(0.9),axiom,file(margrel1,k7_margrel1)]).

fof(d1_tarski,definition,(
    ! [A,B] : 
      ( B = k1_tarski(A)
    <=> ! [C] : 
          ( r2_hidden(C,B)
        <=> C = A ) ) ),
    file(tarski,d1_tarski),
    [interesting(0.9),axiom,file(tarski,d1_tarski)]).

fof(e2_5_1__bintree2,plain,(
    c1_5_1__bintree2 = 0 ),
    inference(mizar_by,[status(thm),assumptions([dt_c1_5_1__bintree2,e1_5_1__bintree2])],[cc1_finseq_1,rc1_finseq_1,rc1_margrel1,rc2_finset_1,rc3_finseq_1,rc6_finseq_1,rc7_finseq_1,rc8_finseq_1,reflexivity_r1_tarski,dt_k1_xboole_0,cc1_xreal_0,cc2_xreal_0,cc3_nat_1,cc3_xreal_0,cc4_xreal_0,cc5_xreal_0,cc6_xreal_0,cc7_xreal_0,cc8_xreal_0,fc1_margrel1,fc2_finseq_1,rc1_nat_1,rc1_xreal_0,rc2_nat_1,rc2_xreal_0,rc3_nat_1,rc3_xreal_0,rc4_xreal_0,existence_m1_subset_1,existence_m2_subset_1,redefinition_m2_subset_1,dt_k1_numbers,dt_k1_zfmisc_1,dt_k5_ordinal2,dt_m1_subset_1,dt_m2_subset_1,cc1_finset_1,cc1_nat_1,cc2_finset_1,cc2_nat_1,fc1_ordinal2,fc1_subset_1,rc1_finset_1,rc1_subset_1,rc2_subset_1,rc3_finset_1,rc4_finset_1,t1_numerals,t2_subset,t3_subset,t4_subset,t5_subset,t6_boole,t8_boole,antisymmetry_r2_hidden,redefinition_k5_numbers,redefinition_k6_domain_1,dt_k1_tarski,dt_k5_numbers,dt_k6_domain_1,dt_c1_5_1__bintree2,fc1_finset_1,fc2_subset_1,t1_subset,t7_boole,spc0_numerals,spc0_boole,e1_5_1__bintree2,d1_tarski]),
    [interesting(0.65),file(bintree2,e2_5_1__bintree2),[file(bintree2,e2_5_1__bintree2)]]).

fof(d13_margrel1,definition,(
    k7_margrel1 = 0 ),
    file(margrel1,d13_margrel1),
    [interesting(0.9),axiom,file(margrel1,d13_margrel1)]).

fof(e3_5_1__bintree2,plain,(
    r2_hidden(c1_5_1__bintree2,k6_margrel1) ),
    inference(mizar_by,[status(thm),assumptions([dt_c1_5_1__bintree2,e1_5_1__bintree2])],[reflexivity_r1_tarski,cc1_finseq_1,rc1_finseq_1,rc1_margrel1,rc2_finset_1,rc3_finseq_1,rc6_finseq_1,rc7_finseq_1,rc8_finseq_1,dt_k1_xboole_0,dt_k1_zfmisc_1,dt_k5_ordinal2,cc1_xreal_0,cc2_finset_1,cc2_xreal_0,cc3_nat_1,cc3_xreal_0,cc4_xreal_0,cc5_xreal_0,cc6_xreal_0,cc7_xreal_0,cc8_xreal_0,fc1_margrel1,fc1_ordinal2,fc1_subset_1,fc2_finseq_1,rc1_finset_1,rc1_nat_1,rc1_subset_1,rc1_xreal_0,rc2_margrel1,rc2_nat_1,rc2_subset_1,rc2_xreal_0,rc3_finset_1,rc3_nat_1,rc3_xreal_0,rc4_finset_1,rc4_xreal_0,t3_subset,t4_subset,t5_subset,existence_m1_subset_1,existence_m2_subset_1,redefinition_k5_numbers,redefinition_m2_subset_1,dt_k1_numbers,dt_k5_numbers,dt_m1_subset_1,dt_m2_subset_1,cc1_finset_1,cc1_margrel1,cc1_nat_1,cc2_nat_1,t1_numerals,t2_subset,t6_boole,t8_boole,antisymmetry_r2_hidden,dt_k6_margrel1,dt_k7_margrel1,dt_c1_5_1__bintree2,fc3_margrel1,t1_subset,t7_boole,spc0_numerals,spc0_boole,e2_5_1__bintree2,d13_margrel1]),
    [interesting(0.65),file(bintree2,e3_5_1__bintree2),[file(bintree2,e3_5_1__bintree2)]]).

fof(i3_5_1__bintree2,theorem,(
    $true ),
    introduced(tautology,[file(bintree2,i3_5_1__bintree2)]),
    [interesting(0.65),trivial,file(bintree2,i3_5_1__bintree2)]).

fof(i2_5_1__bintree2,plain,(
    r2_hidden(c1_5_1__bintree2,k6_margrel1) ),
    inference(conclusion,[status(thm),assumptions([dt_c1_5_1__bintree2,e1_5_1__bintree2])],[e3_5_1__bintree2,i3_5_1__bintree2]),
    [interesting(0.65),file(bintree2,i2_5_1__bintree2),[file(bintree2,i2_5_1__bintree2)]]).

fof(i1_5_1__bintree2,plain,(
    ~ ( r2_hidden(c1_5_1__bintree2,k6_domain_1(k5_numbers,0))
      & ~ r2_hidden(c1_5_1__bintree2,k6_margrel1) ) ),
    inference(discharge_asm,[status(thm),assumptions([dt_c1_5_1__bintree2]),discharge_asm(discharge,[e1_5_1__bintree2])],[e1_5_1__bintree2,i2_5_1__bintree2]),
    [interesting(0.65),file(bintree2,i1_5_1__bintree2),[file(bintree2,i1_5_1__bintree2)]]).

fof(i1_5_1_tmp__bintree2,plain,(
    ~ ( r2_hidden(c1_5_1__bintree2,k6_domain_1(k5_numbers,0))
      & ~ r2_hidden(c1_5_1__bintree2,k6_margrel1) ) ),
    inference(discharge_asm,[status(thm),assumptions([]),discharge_asm(discharge,[dt_c1_5_1__bintree2])],[dt_c1_5_1__bintree2,i1_5_1__bintree2]),
    [interesting(0.8),e10_5__bintree2]).

fof(e10_5__bintree2,plain,(
    r1_tarski(k6_domain_1(k5_numbers,0),k6_margrel1) ),
    inference(let,[status(thm),assumptions([])],[i1_5_1_tmp__bintree2,cc1_xreal_0,cc2_finset_1,cc2_xreal_0,cc3_nat_1,cc3_xreal_0,cc4_xreal_0,cc5_xreal_0,cc6_xreal_0,cc7_xreal_0,cc8_xreal_0,rc1_finset_1,rc1_nat_1,rc1_xreal_0,rc2_margrel1,rc2_nat_1,rc2_xreal_0,rc3_finset_1,rc3_nat_1,rc3_xreal_0,rc4_finset_1,rc4_xreal_0,redefinition_m2_subset_1,dt_k1_numbers,dt_k1_tarski,dt_k1_zfmisc_1,dt_k5_ordinal2,dt_m1_subset_1,dt_m2_subset_1,cc1_finset_1,cc1_margrel1,cc1_nat_1,cc2_nat_1,fc1_finset_1,fc1_ordinal2,fc1_subset_1,fc2_subset_1,rc1_subset_1,rc2_subset_1,reflexivity_r1_tarski,antisymmetry_r2_hidden,redefinition_k5_numbers,redefinition_k6_domain_1,dt_k5_numbers,dt_k6_domain_1,dt_k6_margrel1,fc3_margrel1,spc0_numerals,spc0_boole,d3_tarski,dh_c1_5_1__bintree2]),
    [interesting(0.8),file(bintree2,e10_5__bintree2),[file(bintree2,e10_5__bintree2)]]).

fof(e9_5__bintree2,plain,(
    r2_hidden(0,k6_domain_1(k5_numbers,0)) ),
    inference(mizar_by,[status(thm),assumptions([])],[cc1_finseq_1,rc1_finseq_1,rc1_margrel1,rc2_finset_1,rc3_finseq_1,rc6_finseq_1,rc7_finseq_1,rc8_finseq_1,reflexivity_r1_tarski,dt_k1_xboole_0,cc1_xreal_0,cc2_xreal_0,cc3_nat_1,cc3_xreal_0,cc4_xreal_0,cc5_xreal_0,cc6_xreal_0,cc7_xreal_0,cc8_xreal_0,fc1_margrel1,fc2_finseq_1,rc1_nat_1,rc1_xreal_0,rc2_nat_1,rc2_xreal_0,rc3_nat_1,rc3_xreal_0,rc4_xreal_0,existence_m1_subset_1,existence_m2_subset_1,redefinition_m2_subset_1,dt_k1_numbers,dt_k1_zfmisc_1,dt_k5_ordinal2,dt_m1_subset_1,dt_m2_subset_1,cc1_finset_1,cc1_nat_1,cc2_finset_1,cc2_nat_1,fc1_ordinal2,fc1_subset_1,rc1_finset_1,rc1_subset_1,rc2_subset_1,rc3_finset_1,rc4_finset_1,t1_numerals,t2_subset,t3_subset,t4_subset,t5_subset,t6_boole,t8_boole,antisymmetry_r2_hidden,redefinition_k5_numbers,redefinition_k6_domain_1,dt_k1_tarski,dt_k5_numbers,dt_k6_domain_1,fc1_finset_1,fc2_subset_1,t1_subset,t7_boole,spc0_numerals,spc0_boole,d1_tarski]),
    [interesting(0.8),file(bintree2,e9_5__bintree2),[file(bintree2,e9_5__bintree2)]]).

fof(t22_scmfsa_7,theorem,(
    ! [A] : 
      ( ~ v1_xboole_0(A)
     => ! [B] : 
          ( m1_subset_1(B,A)
         => m2_finseq_1(k12_finseq_1(A,B),A) ) ) ),
    file(scmfsa_7,t22_scmfsa_7),
    [interesting(0.9),axiom,file(scmfsa_7,t22_scmfsa_7)]).

fof(e11_5__bintree2,plain,(
    m2_finseq_1(k13_binarith(k5_numbers,0),k6_margrel1) ),
    inference(mizar_by,[status(thm),assumptions([])],[existence_m1_finseq_2,existence_m1_relset_1,dt_k2_zfmisc_1,dt_m1_finseq_2,dt_m1_relset_1,cc1_finseq_1,cc1_relset_1,fc14_finset_1,fc4_subset_1,rc1_finseq_1,rc1_margrel1,rc2_finseq_1,rc2_finset_1,rc3_finseq_1,rc4_finseq_1,rc5_trees_9,rc6_finseq_1,rc7_finseq_1,rc8_finseq_1,rc9_trees_2,existence_m1_finseq_1,existence_m2_finseq_2,existence_m2_relset_1,existence_m2_subset_1,redefinition_m2_finseq_2,redefinition_m2_relset_1,redefinition_m2_subset_1,dt_k1_numbers,dt_k1_tarski,dt_k1_xboole_0,dt_k1_zfmisc_1,dt_k4_finseq_2,dt_k5_finseq_1,dt_k5_ordinal2,dt_m1_finseq_1,dt_m2_finseq_2,dt_m2_relset_1,dt_m2_subset_1,cc1_xreal_0,cc2_finset_1,cc2_xreal_0,cc3_nat_1,cc3_xreal_0,cc4_xreal_0,cc5_xreal_0,cc6_xreal_0,cc7_xreal_0,cc8_xreal_0,fc12_finseq_1,fc1_finset_1,fc1_margrel1,fc1_ordinal2,fc1_subset_1,fc2_finseq_1,fc2_subset_1,fc3_finseq_1,fc4_finseq_1,rc1_finset_1,rc1_nat_1,rc1_subset_1,rc1_xreal_0,rc2_margrel1,rc2_nat_1,rc2_subset_1,rc2_xreal_0,rc3_finset_1,rc3_nat_1,rc3_xreal_0,rc4_finset_1,rc4_xreal_0,spc1_boole,spc1_numerals,t4_subset,t5_subset,t8_boole,spc1_numerals,spc1_boole,reflexivity_r1_tarski,antisymmetry_r2_hidden,existence_m1_subset_1,existence_m2_finseq_1,redefinition_k12_finseq_1,redefinition_k13_binarith,redefinition_k5_numbers,redefinition_k6_domain_1,redefinition_m2_finseq_1,dt_k12_finseq_1,dt_k13_binarith,dt_k5_numbers,dt_k6_domain_1,dt_k6_margrel1,dt_m1_subset_1,dt_m2_finseq_1,cc1_finset_1,cc1_margrel1,cc1_nat_1,cc2_nat_1,fc3_margrel1,spc0_boole,t1_numerals,t1_subset,t2_subset,t3_subset,t6_boole,t7_boole,spc0_numerals,spc0_boole,e10_5__bintree2,e9_5__bintree2,t22_scmfsa_7]),
    [interesting(0.8),file(bintree2,e11_5__bintree2),[file(bintree2,e11_5__bintree2)]]).

fof(t23_scmfsa_7,theorem,(
    ! [A,B] : 
      ( m2_finseq_1(B,A)
     => ! [C] : 
          ( m2_finseq_1(C,A)
         => m2_finseq_1(k8_finseq_1(A,B,C),A) ) ) ),
    file(scmfsa_7,t23_scmfsa_7),
    [interesting(0.9),axiom,file(scmfsa_7,t23_scmfsa_7)]).

fof(e12_5__bintree2,plain,(
    m2_finseq_1(k8_finseq_1(k5_numbers,c4_5__bintree2,k13_binarith(k5_numbers,0)),k6_margrel1) ),
    inference(mizar_by,[status(thm),assumptions([e2_5__bintree2,dt_c1_5__bintree2,e1_5__bintree2])],[rc3_trees_9,cc3_trees_9,rc1_margrel1,rc1_trees_2,rc2_finset_1,rc3_finseq_1,rc4_finseq_1,rc5_trees_9,rc6_finseq_1,rc6_trees_9,reflexivity_r1_tarski,antisymmetry_r2_hidden,existence_m1_finseq_2,existence_m1_relset_1,dt_k1_xboole_0,dt_k2_zfmisc_1,dt_m1_finseq_2,dt_m1_relset_1,cc1_finseq_1,cc1_relset_1,cc1_trees_9,cc1_xreal_0,cc2_finset_1,cc2_xreal_0,cc3_nat_1,cc3_xreal_0,cc4_xreal_0,cc5_xreal_0,cc6_xreal_0,cc7_xreal_0,cc8_xreal_0,fc13_finseq_1,fc14_finseq_1,fc14_finset_1,fc1_margrel1,fc2_finseq_1,fc4_subset_1,rc1_finseq_1,rc1_finset_1,rc1_nat_1,rc1_xreal_0,rc2_finseq_1,rc2_margrel1,rc2_nat_1,rc2_xreal_0,rc3_finset_1,rc3_nat_1,rc3_xreal_0,rc4_finset_1,rc4_xreal_0,rc7_finseq_1,rc8_finseq_1,rc9_trees_2,t1_subset,t4_subset,t5_subset,existence_m1_finseq_1,existence_m1_subset_1,existence_m1_trees_1,existence_m2_finseq_2,existence_m2_relset_1,existence_m2_subset_1,redefinition_m1_trees_1,redefinition_m2_finseq_2,redefinition_m2_relset_1,redefinition_m2_subset_1,dt_k1_numbers,dt_k1_zfmisc_1,dt_k4_finseq_2,dt_k5_finseq_1,dt_k5_ordinal2,dt_k7_finseq_1,dt_m1_finseq_1,dt_m1_subset_1,dt_m1_trees_1,dt_m2_finseq_2,dt_m2_relset_1,dt_m2_subset_1,dt_c1_5__bintree2,dt_c2_5__bintree2,cc1_finset_1,cc1_margrel1,cc1_nat_1,cc2_nat_1,fc12_finseq_1,fc1_ordinal2,fc1_subset_1,fc3_finseq_1,fc4_finseq_1,rc1_subset_1,rc2_subset_1,spc1_boole,spc1_numerals,t1_numerals,t2_subset,t3_subset,t6_boole,t7_boole,t8_boole,spc1_numerals,spc1_boole,existence_m2_finseq_1,redefinition_k13_binarith,redefinition_k5_numbers,redefinition_k8_finseq_1,redefinition_m2_finseq_1,dt_k13_binarith,dt_k5_numbers,dt_k6_margrel1,dt_k8_finseq_1,dt_m2_finseq_1,dt_c3_5__bintree2,dt_c4_5__bintree2,de_c3_5__bintree2,de_c4_5__bintree2,fc3_margrel1,spc0_numerals,spc0_boole,e11_5__bintree2,e7_5__bintree2,t23_scmfsa_7]),
    [interesting(0.8),file(bintree2,e12_5__bintree2),[file(bintree2,e12_5__bintree2)]]).

fof(d11_finseq_1,definition,(
    ! [A,B] : 
      ( B = k13_finseq_1(A)
    <=> ! [C] : 
          ( r2_hidden(C,B)
        <=> m2_finseq_1(C,A) ) ) ),
    file(finseq_1,d11_finseq_1),
    [interesting(0.9),axiom,file(finseq_1,d11_finseq_1)]).

fof(d12_margrel1,definition,(
    k6_margrel1 = k2_tarski(0,1) ),
    file(margrel1,d12_margrel1),
    [interesting(0.9),axiom,file(margrel1,d12_margrel1)]).

fof(e13_5__bintree2,plain,(
    r2_hidden(k8_finseq_1(k5_numbers,c4_5__bintree2,k13_binarith(k5_numbers,0)),c1_5__bintree2) ),
    inference(mizar_by,[status(thm),assumptions([e2_5__bintree2,dt_c1_5__bintree2,e1_5__bintree2])],[rc1_margrel1,rc2_finset_1,rc3_finseq_1,rc3_trees_9,rc4_finseq_1,rc5_trees_9,rc6_finseq_1,rc6_trees_9,reflexivity_r1_tarski,existence_m1_relset_1,dt_k1_xboole_0,dt_k2_zfmisc_1,dt_m1_relset_1,cc1_finseq_1,cc1_relset_1,cc1_xreal_0,cc2_xreal_0,cc3_nat_1,cc3_trees_9,cc3_xreal_0,cc4_xreal_0,cc5_xreal_0,cc6_xreal_0,cc7_xreal_0,cc8_xreal_0,fc13_finseq_1,fc14_finseq_1,fc14_finset_1,fc1_margrel1,fc2_finseq_1,fc4_subset_1,rc1_finseq_1,rc1_nat_1,rc1_trees_2,rc1_xreal_0,rc2_finseq_1,rc2_margrel1,rc2_nat_1,rc2_xreal_0,rc3_nat_1,rc3_xreal_0,rc4_xreal_0,rc7_finseq_1,rc8_finseq_1,rc9_trees_2,existence_m1_finseq_1,existence_m1_finseq_2,existence_m1_subset_1,existence_m2_finseq_2,existence_m2_relset_1,existence_m2_subset_1,redefinition_m2_finseq_2,redefinition_m2_relset_1,redefinition_m2_subset_1,dt_k1_numbers,dt_k1_zfmisc_1,dt_k4_finseq_2,dt_k5_finseq_1,dt_k5_ordinal2,dt_k7_finseq_1,dt_m1_finseq_1,dt_m1_finseq_2,dt_m1_subset_1,dt_m2_finseq_2,dt_m2_relset_1,dt_m2_subset_1,dt_c2_5__bintree2,cc1_finset_1,cc1_margrel1,cc1_nat_1,cc1_trees_9,cc2_finset_1,cc2_nat_1,fc12_finseq_1,fc1_ordinal2,fc1_subset_1,fc3_finseq_1,fc4_finseq_1,rc1_finset_1,rc1_subset_1,rc2_subset_1,rc3_finset_1,rc4_finset_1,t1_numerals,t2_subset,t3_subset,t4_subset,t5_subset,t6_boole,t8_boole,commutativity_k2_tarski,commutativity_k7_domain_1,antisymmetry_r2_hidden,existence_m2_finseq_1,redefinition_k13_binarith,redefinition_k3_finseq_2,redefinition_k5_numbers,redefinition_k7_domain_1,redefinition_k8_finseq_1,redefinition_m2_finseq_1,dt_k13_binarith,dt_k13_finseq_1,dt_k2_tarski,dt_k3_finseq_2,dt_k5_numbers,dt_k6_margrel1,dt_k7_domain_1,dt_k8_finseq_1,dt_m2_finseq_1,dt_c1_5__bintree2,dt_c4_5__bintree2,de_c4_5__bintree2,fc16_finseq_1,fc2_finset_1,fc3_margrel1,fc3_subset_1,fc9_finseq_1,t1_subset,t7_boole,spc0_numerals,spc1_numerals,spc0_boole,spc1_boole,e12_5__bintree2,e1_5__bintree2,d11_finseq_1,d12_margrel1]),
    [interesting(0.8),file(bintree2,e13_5__bintree2),[file(bintree2,e13_5__bintree2)]]).

fof(d8_trees_1,definition,(
    ! [A] : 
      ( ( ~ v1_xboole_0(A)
        & v1_trees_1(A) )
     => ! [B] : 
          ( m1_subset_1(B,k1_zfmisc_1(A))
         => ( B = k3_trees_1(A)
          <=> ! [C] : 
                ( m2_finseq_1(C,k5_numbers)
               => ( r2_hidden(C,B)
                <=> ( r2_hidden(C,A)
                    & ! [D] : 
                        ( m2_finseq_1(D,k5_numbers)
                       => ~ ( r2_hidden(D,A)
                            & r2_xboole_0(C,D) ) ) ) ) ) ) ) ) ),
    file(trees_1,d8_trees_1),
    [interesting(0.9),axiom,file(trees_1,d8_trees_1)]).

fof(e15_5__bintree2,plain,(
    ~ $true ),
    inference(mizar_by,[status(thm),assumptions([e2_5__bintree2,dt_c1_5__bintree2,e1_5__bintree2])],[rc3_trees_9,existence_m1_finseq_2,existence_m1_relset_1,dt_k2_zfmisc_1,dt_m1_finseq_2,dt_m1_relset_1,cc1_finseq_1,cc1_relset_1,cc3_trees_9,fc13_finseq_1,fc14_finseq_1,fc14_finset_1,fc4_subset_1,rc1_finseq_1,rc1_margrel1,rc1_trees_2,rc2_finseq_1,rc2_finset_1,rc3_finseq_1,rc4_finseq_1,rc5_trees_9,rc6_finseq_1,rc6_trees_9,rc7_finseq_1,rc8_finseq_1,rc9_trees_2,reflexivity_r1_tarski,existence_m1_finseq_1,existence_m2_finseq_2,existence_m2_relset_1,existence_m2_subset_1,redefinition_m2_finseq_2,redefinition_m2_relset_1,redefinition_m2_subset_1,dt_k1_numbers,dt_k1_xboole_0,dt_k4_finseq_2,dt_k5_finseq_1,dt_k5_ordinal2,dt_k7_finseq_1,dt_m1_finseq_1,dt_m2_finseq_2,dt_m2_relset_1,dt_m2_subset_1,cc1_trees_9,cc1_xreal_0,cc2_finset_1,cc2_xreal_0,cc3_nat_1,cc3_xreal_0,cc4_xreal_0,cc5_xreal_0,cc6_xreal_0,cc7_xreal_0,cc8_xreal_0,fc12_finseq_1,fc1_margrel1,fc1_ordinal2,fc2_finseq_1,fc3_finseq_1,fc4_finseq_1,rc1_finset_1,rc1_nat_1,rc1_xreal_0,rc2_nat_1,rc2_xreal_0,rc3_finset_1,rc3_nat_1,rc3_xreal_0,rc4_finset_1,rc4_xreal_0,spc1_boole,spc1_numerals,spc1_numerals,spc1_boole,antisymmetry_r2_hidden,irreflexivity_r2_xboole_0,antisymmetry_r2_xboole_0,existence_m1_subset_1,existence_m2_finseq_1,redefinition_k13_binarith,redefinition_k5_numbers,redefinition_k8_finseq_1,redefinition_m2_finseq_1,dt_k13_binarith,dt_k1_zfmisc_1,dt_k3_trees_1,dt_k5_numbers,dt_k8_finseq_1,dt_m1_subset_1,dt_m2_finseq_1,dt_c1_5__bintree2,dt_c2_5__bintree2,dt_c4_5__bintree2,de_c4_5__bintree2,cc1_finset_1,cc1_nat_1,cc2_nat_1,fc1_subset_1,rc1_subset_1,rc2_subset_1,spc0_boole,t1_numerals,t1_subset,t2_subset,t3_subset,t4_subset,t5_subset,t6_boole,t7_boole,t8_boole,spc0_numerals,spc0_boole,e14_5__bintree2,e4_5__bintree2,e13_5__bintree2,d8_trees_1]),
    [interesting(0.8),file(bintree2,e15_5__bintree2),[file(bintree2,e15_5__bintree2)]]).

fof(i4_5__bintree2,theorem,(
    $true ),
    introduced(tautology,[file(bintree2,i4_5__bintree2)]),
    [interesting(0.8),trivial,file(bintree2,i4_5__bintree2)]).

fof(i3_5__bintree2,plain,(
    ~ $true ),
    inference(conclusion,[status(thm),assumptions([e2_5__bintree2,dt_c1_5__bintree2,e1_5__bintree2])],[e15_5__bintree2,i4_5__bintree2]),
    [interesting(0.8),file(bintree2,i3_5__bintree2),[file(bintree2,i3_5__bintree2)]]).

fof(i2_5__bintree2,plain,(
    k3_trees_1(c1_5__bintree2) = k1_xboole_0 ),
    inference(discharge_asm,[status(thm),assumptions([dt_c1_5__bintree2,e1_5__bintree2]),discharge_asm(discharge,[e2_5__bintree2])],[e2_5__bintree2,i3_5__bintree2]),
    [interesting(0.8),file(bintree2,i2_5__bintree2),[file(bintree2,i2_5__bintree2)]]).

fof(i1_5__bintree2,plain,
    ( c1_5__bintree2 = k3_finseq_2(k7_domain_1(k5_numbers,0,1))
   => k3_trees_1(c1_5__bintree2) = k1_xboole_0 ),
    inference(discharge_asm,[status(thm),assumptions([dt_c1_5__bintree2]),discharge_asm(discharge,[e1_5__bintree2])],[e1_5__bintree2,i2_5__bintree2]),
    [interesting(0.8),file(bintree2,i1_5__bintree2),[file(bintree2,i1_5__bintree2)]]).

fof(i1_5_tmp__bintree2,plain,
    ( ( ~ v1_xboole_0(c1_5__bintree2)
      & v1_trees_1(c1_5__bintree2) )
   => ( c1_5__bintree2 = k3_finseq_2(k7_domain_1(k5_numbers,0,1))
     => k3_trees_1(c1_5__bintree2) = k1_xboole_0 ) ),
    inference(discharge_asm,[status(thm),assumptions([]),discharge_asm(discharge,[dt_c1_5__bintree2])],[dt_c1_5__bintree2,i1_5__bintree2]),
    [interesting(1),t4_bintree2]).

fof(t4_bintree2,theorem,(
    ! [A] : 
      ( ( ~ v1_xboole_0(A)
        & v1_trees_1(A) )
     => ( A = k3_finseq_2(k7_domain_1(k5_numbers,0,1))
       => k3_trees_1(A) = k1_xboole_0 ) ) ),
    inference(let,[status(thm),assumptions([])],[i1_5_tmp__bintree2,dh_c1_5__bintree2]),
    [interesting(1),file(bintree2,t4_bintree2),[file(bintree2,t4_bintree2)]]).