% Mizar problem: t61_intpro_1,intpro_1,1165,65 
fof(t61_intpro_1,conjecture,(
    ! [A] : 
      ( m1_subset_1(A,k1_intpro_1)
     => ! [B] : 
          ( m1_subset_1(B,k1_intpro_1)
         => ! [C] : 
              ( m1_subset_1(C,k1_intpro_1)
             => ( r2_hidden(k3_intpro_1(A,B),k8_intpro_1)
               => r2_hidden(k3_intpro_1(k5_intpro_1(A,C),k5_intpro_1(B,C)),k8_intpro_1) ) ) ) ) ),
    inference(mizar_bg_added,[status(thm)],[antisymmetry_r2_hidden,cc1_finseq_1,cc1_fraenkel,cc1_intpro_1,cc3_intpro_1,d10_intpro_1,d11_intpro_1,d12_intpro_1,d14_intpro_1,d16_intpro_1,d9_intpro_1,dt_k12_finseq_1,dt_k1_intpro_1,dt_k1_numbers,dt_k1_subset_1,dt_k1_xboole_0,dt_k1_zfmisc_1,dt_k2_intpro_1,dt_k2_zfmisc_1,dt_k3_intpro_1,dt_k4_intpro_1,dt_k5_finseq_1,dt_k5_intpro_1,dt_k5_numbers,dt_k5_ordinal2,dt_k7_finseq_1,dt_k7_intpro_1,dt_k8_intpro_1,dt_m1_finseq_1,dt_m1_relset_1,dt_m1_subset_1,dt_m2_finseq_1,dt_m2_relset_1,existence_m1_finseq_1,existence_m1_relset_1,existence_m1_subset_1,existence_m2_finseq_1,existence_m2_relset_1,fc12_finseq_1,fc13_finseq_1,fc14_finseq_1,fc1_intpro_1,fc1_ordinal2,fc2_finseq_1,fc2_intpro_1,fc3_finseq_1,fc3_intpro_1,fc4_finseq_1,fc4_intpro_1,rc1_finseq_1,rc1_fraenkel,rc1_intpro_1,rc2_finseq_1,rc3_finseq_1,rc4_finseq_1,rc6_finseq_1,rc7_finseq_1,rc8_finseq_1,redefinition_k12_finseq_1,redefinition_k5_numbers,redefinition_m2_finseq_1,redefinition_m2_relset_1,reflexivity_r1_tarski,spc0_boole,spc1_boole,spc1_numerals,spc2_boole,spc2_numerals,spc3_boole,spc3_numerals,t1_numerals,t1_subset,t2_subset,t3_subset,t4_subset,t5_subset,t60_intpro_1,t6_boole,t7_boole,t8_boole]),
    [file(intpro_1,t61_intpro_1)]).

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

fof(cc1_finseq_1,axiom,(
    ! [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),
    []).

fof(cc1_fraenkel,axiom,(
    ! [A] : 
      ( v1_fraenkel(A)
     => ! [B] : 
          ( m1_subset_1(B,A)
         => ( v1_relat_1(B)
            & v1_funct_1(B) ) ) ) ),
    file(fraenkel,cc1_fraenkel),
    []).

fof(cc1_intpro_1,axiom,(
    ! [A] : 
      ( v7_intpro_1(A)
     => ( ~ v1_xboole_0(A)
        & v1_intpro_1(A)
        & v2_intpro_1(A)
        & v3_intpro_1(A)
        & v4_intpro_1(A)
        & v5_intpro_1(A)
        & v6_intpro_1(A) ) ) ),
    file(intpro_1,cc1_intpro_1),
    []).

fof(cc3_intpro_1,axiom,(
    ! [A] : 
      ( m1_subset_1(A,k1_intpro_1)
     => ( v1_relat_1(A)
        & v1_funct_1(A)
        & v1_finset_1(A)
        & v1_finseq_1(A) ) ) ),
    file(intpro_1,cc3_intpro_1),
    []).

fof(d10_intpro_1,axiom,(
    ! [A] : 
      ( m1_subset_1(A,k1_intpro_1)
     => ! [B] : 
          ( m1_subset_1(B,k1_intpro_1)
         => k3_intpro_1(A,B) = k7_finseq_1(k7_finseq_1(k12_finseq_1(k5_numbers,1),A),B) ) ) ),
    file(intpro_1,d10_intpro_1),
    []).

fof(d11_intpro_1,axiom,(
    ! [A] : 
      ( m1_subset_1(A,k1_intpro_1)
     => ! [B] : 
          ( m1_subset_1(B,k1_intpro_1)
         => k4_intpro_1(A,B) = k7_finseq_1(k7_finseq_1(k12_finseq_1(k5_numbers,2),A),B) ) ) ),
    file(intpro_1,d11_intpro_1),
    []).

fof(d12_intpro_1,axiom,(
    ! [A] : 
      ( m1_subset_1(A,k1_intpro_1)
     => ! [B] : 
          ( m1_subset_1(B,k1_intpro_1)
         => k5_intpro_1(A,B) = k7_finseq_1(k7_finseq_1(k12_finseq_1(k5_numbers,3),A),B) ) ) ),
    file(intpro_1,d12_intpro_1),
    []).

fof(d14_intpro_1,axiom,(
    ! [A] : 
      ( m1_subset_1(A,k1_zfmisc_1(k1_intpro_1))
     => ( v8_intpro_1(A)
      <=> ! [B] : 
            ( m1_subset_1(B,k1_intpro_1)
           => ! [C] : 
                ( m1_subset_1(C,k1_intpro_1)
               => ! [D] : 
                    ( m1_subset_1(D,k1_intpro_1)
                   => ( r2_hidden(k3_intpro_1(B,k3_intpro_1(C,B)),A)
                      & r2_hidden(k3_intpro_1(k3_intpro_1(B,k3_intpro_1(C,D)),k3_intpro_1(k3_intpro_1(B,C),k3_intpro_1(B,D))),A)
                      & r2_hidden(k3_intpro_1(k4_intpro_1(B,C),B),A)
                      & r2_hidden(k3_intpro_1(k4_intpro_1(B,C),C),A)
                      & r2_hidden(k3_intpro_1(B,k3_intpro_1(C,k4_intpro_1(B,C))),A)
                      & r2_hidden(k3_intpro_1(B,k5_intpro_1(B,C)),A)
                      & r2_hidden(k3_intpro_1(C,k5_intpro_1(B,C)),A)
                      & r2_hidden(k3_intpro_1(k3_intpro_1(B,D),k3_intpro_1(k3_intpro_1(C,D),k3_intpro_1(k5_intpro_1(B,C),D))),A)
                      & r2_hidden(k3_intpro_1(k2_intpro_1,B),A)
                      & ( ( r2_hidden(B,A)
                          & r2_hidden(k3_intpro_1(B,C),A) )
                       => r2_hidden(C,A) ) ) ) ) ) ) ) ),
    file(intpro_1,d14_intpro_1),
    []).

fof(d16_intpro_1,axiom,(
    k8_intpro_1 = k7_intpro_1(k1_subset_1(k1_intpro_1)) ),
    file(intpro_1,d16_intpro_1),
    []).

fof(d9_intpro_1,axiom,(
    k2_intpro_1 = k12_finseq_1(k5_numbers,0) ),
    file(intpro_1,d9_intpro_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),
    []).

fof(dt_k1_intpro_1,axiom,(
    $true ),
    file(intpro_1,k1_intpro_1),
    []).

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

fof(dt_k1_subset_1,axiom,(
    ! [A] : 
      ( v1_xboole_0(k1_subset_1(A))
      & m1_subset_1(k1_subset_1(A),k1_zfmisc_1(A)) ) ),
    file(subset_1,k1_subset_1),
    []).

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

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

fof(dt_k2_intpro_1,axiom,(
    m1_subset_1(k2_intpro_1,k1_intpro_1) ),
    file(intpro_1,k2_intpro_1),
    []).

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

fof(dt_k3_intpro_1,axiom,(
    ! [A,B] : 
      ( ( m1_subset_1(A,k1_intpro_1)
        & m1_subset_1(B,k1_intpro_1) )
     => m1_subset_1(k3_intpro_1(A,B),k1_intpro_1) ) ),
    file(intpro_1,k3_intpro_1),
    []).

fof(dt_k4_intpro_1,axiom,(
    ! [A,B] : 
      ( ( m1_subset_1(A,k1_intpro_1)
        & m1_subset_1(B,k1_intpro_1) )
     => m1_subset_1(k4_intpro_1(A,B),k1_intpro_1) ) ),
    file(intpro_1,k4_intpro_1),
    []).

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

fof(dt_k5_intpro_1,axiom,(
    ! [A,B] : 
      ( ( m1_subset_1(A,k1_intpro_1)
        & m1_subset_1(B,k1_intpro_1) )
     => m1_subset_1(k5_intpro_1(A,B),k1_intpro_1) ) ),
    file(intpro_1,k5_intpro_1),
    []).

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

fof(dt_k5_ordinal2,axiom,(
    $true ),
    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),
    []).

fof(dt_k7_intpro_1,axiom,(
    ! [A] : 
      ( m1_subset_1(A,k1_zfmisc_1(k1_intpro_1))
     => m1_subset_1(k7_intpro_1(A),k1_zfmisc_1(k1_intpro_1)) ) ),
    file(intpro_1,k7_intpro_1),
    []).

fof(dt_k8_intpro_1,axiom,(
    m1_subset_1(k8_intpro_1,k1_zfmisc_1(k1_intpro_1)) ),
    file(intpro_1,k8_intpro_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),
    []).

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

fof(dt_m1_subset_1,axiom,(
    $true ),
    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),
    []).

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),
    []).

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

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

fof(existence_m1_subset_1,axiom,(
    ! [A] : 
    ? [B] : m1_subset_1(B,A) ),
    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),
    []).

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

fof(fc12_finseq_1,axiom,(
    ! [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),
    []).

fof(fc13_finseq_1,axiom,(
    ! [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),
    []).

fof(fc14_finseq_1,axiom,(
    ! [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),
    []).

fof(fc1_intpro_1,axiom,
    ( ~ v1_xboole_0(k1_intpro_1)
    & v1_intpro_1(k1_intpro_1)
    & v2_intpro_1(k1_intpro_1)
    & v3_intpro_1(k1_intpro_1)
    & v4_intpro_1(k1_intpro_1)
    & v5_intpro_1(k1_intpro_1)
    & v6_intpro_1(k1_intpro_1)
    & v7_intpro_1(k1_intpro_1) ),
    file(intpro_1,fc1_intpro_1),
    []).

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

fof(fc2_finseq_1,axiom,
    ( 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),
    []).

fof(fc2_intpro_1,axiom,
    ( ~ v1_xboole_0(k1_intpro_1)
    & v1_fraenkel(k1_intpro_1)
    & v1_intpro_1(k1_intpro_1)
    & v2_intpro_1(k1_intpro_1)
    & v3_intpro_1(k1_intpro_1)
    & v4_intpro_1(k1_intpro_1)
    & v5_intpro_1(k1_intpro_1)
    & v6_intpro_1(k1_intpro_1)
    & v7_intpro_1(k1_intpro_1) ),
    file(intpro_1,fc2_intpro_1),
    []).

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

fof(fc3_intpro_1,axiom,(
    ! [A] : 
      ( m1_subset_1(A,k1_zfmisc_1(k1_intpro_1))
     => v8_intpro_1(k7_intpro_1(A)) ) ),
    file(intpro_1,fc3_intpro_1),
    []).

fof(fc4_finseq_1,axiom,(
    ! [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),
    []).

fof(fc4_intpro_1,axiom,(
    v8_intpro_1(k8_intpro_1) ),
    file(intpro_1,fc4_intpro_1),
    []).

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

fof(rc1_fraenkel,axiom,(
    ? [A] : 
      ( ~ v1_xboole_0(A)
      & v1_fraenkel(A) ) ),
    file(fraenkel,rc1_fraenkel),
    []).

fof(rc1_intpro_1,axiom,(
    ? [A] : 
      ( ~ v1_xboole_0(A)
      & v1_intpro_1(A)
      & v2_intpro_1(A)
      & v3_intpro_1(A)
      & v4_intpro_1(A)
      & v5_intpro_1(A)
      & v6_intpro_1(A)
      & v7_intpro_1(A) ) ),
    file(intpro_1,rc1_intpro_1),
    []).

fof(rc2_finseq_1,axiom,(
    ! [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),
    []).

fof(rc3_finseq_1,axiom,(
    ? [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),
    []).

fof(rc4_finseq_1,axiom,(
    ! [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),
    []).

fof(rc6_finseq_1,axiom,(
    ? [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),
    []).

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

fof(rc8_finseq_1,axiom,(
    ? [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),
    []).

fof(redefinition_k12_finseq_1,axiom,(
    ! [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),
    []).

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

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

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

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

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

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

fof(spc1_numerals,axiom,
    ( v2_xreal_0(1)
    & m1_subset_1(1,k5_numbers) ),
    file(numerals,spc1_numerals),
    []).

fof(spc2_boole,axiom,(
    ~ v1_xboole_0(2) ),
    file(boole,spc2_boole),
    []).

fof(spc2_numerals,axiom,
    ( v2_xreal_0(2)
    & m1_subset_1(2,k5_numbers) ),
    file(numerals,spc2_numerals),
    []).

fof(spc3_boole,axiom,(
    ~ v1_xboole_0(3) ),
    file(boole,spc3_boole),
    []).

fof(spc3_numerals,axiom,
    ( v2_xreal_0(3)
    & m1_subset_1(3,k5_numbers) ),
    file(numerals,spc3_numerals),
    []).

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

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

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

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

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

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

fof(t60_intpro_1,axiom,(
    ! [A] : 
      ( m1_subset_1(A,k1_intpro_1)
     => ! [B] : 
          ( m1_subset_1(B,k1_intpro_1)
         => ! [C] : 
              ( m1_subset_1(C,k1_intpro_1)
             => r2_hidden(k3_intpro_1(k3_intpro_1(A,B),k3_intpro_1(k5_intpro_1(A,C),k5_intpro_1(B,C))),k8_intpro_1) ) ) ) ),
    file(intpro_1,t60_intpro_1),
    []).

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

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

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