% Mizar problem: t14_measure3,measure3,696,32 
fof(t14_measure3,conjecture,(
    ! [A,B] : 
      ( ( ~ v1_xboole_0(B)
        & v1_prob_1(B,A)
        & v1_measure1(B,A)
        & m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A))) )
     => ! [C] : 
          ( m3_measure1(C,A,B)
         => ! [D] : 
              ( ( v1_funct_1(D)
                & v1_funct_2(D,k5_numbers,B)
                & m2_relset_1(D,k5_numbers,B) )
             => ( ! [E] : 
                    ( m2_subset_1(E,k1_numbers,k5_numbers)
                   => r1_tarski(k8_funct_2(k5_numbers,B,D,k1_nat_1(E,1)),k8_funct_2(k5_numbers,B,D,E)) )
               => ( r1_supinf_1(k4_supinf_1,k1_measure1(B,C,k8_funct_2(k5_numbers,B,D,0)))
                  | k1_measure1(B,C,k1_measure2(A,B,k1_measure3(A,B,D))) = k10_supinf_1(k17_supinf_2(k7_funct_2(k5_numbers,B,k3_supinf_1,D,C))) ) ) ) ) ) ),
    inference(mizar_bg_added,[status(thm)],[antisymmetry_r2_hidden,cc10_membered,cc11_membered,cc12_membered,cc13_membered,cc14_membered,cc15_membered,cc16_membered,cc17_membered,cc18_membered,cc19_membered,cc1_arytm_3,cc1_measure1,cc1_membered,cc1_relset_1,cc1_supinf_1,cc20_membered,cc2_arytm_3,cc2_measure1,cc2_membered,cc2_supinf_1,cc3_arytm_3,cc3_measure1,cc3_membered,cc4_measure1,cc4_membered,cc6_membered,cc9_membered,commutativity_k1_nat_1,commutativity_k2_xcmplx_0,connectedness_r1_supinf_1,dt_k10_supinf_1,dt_k17_supinf_2,dt_k1_funct_1,dt_k1_measure1,dt_k1_measure2,dt_k1_measure3,dt_k1_nat_1,dt_k1_numbers,dt_k1_setfam_1,dt_k1_supinf_1,dt_k1_xboole_0,dt_k1_zfmisc_1,dt_k2_measure2,dt_k2_relat_1,dt_k2_xcmplx_0,dt_k2_zfmisc_1,dt_k3_supinf_1,dt_k3_tarski,dt_k4_measure1,dt_k4_supinf_1,dt_k4_supinf_2,dt_k4_xboole_0,dt_k5_measure1,dt_k5_numbers,dt_k5_ordinal2,dt_k5_relat_1,dt_k5_setfam_1,dt_k7_funct_2,dt_k8_funct_2,dt_k9_supinf_1,dt_m1_measure2,dt_m1_relset_1,dt_m1_subset_1,dt_m2_relset_1,dt_m2_subset_1,dt_m3_measure1,existence_m1_measure2,existence_m1_relset_1,existence_m1_subset_1,existence_m2_relset_1,existence_m2_subset_1,existence_m3_measure1,fc1_ordinal2,fc1_subset_1,fc1_supinf_1,fc2_membered,fc37_membered,fc38_membered,fc39_membered,fc40_membered,fc41_membered,fc4_subset_1,fc5_membered,fc6_membered,rc1_arytm_3,rc1_measure1,rc1_membered,rc1_subset_1,rc2_measure1,rc2_subset_1,rc3_measure1,rc3_supinf_1,redefinition_k17_supinf_2,redefinition_k1_measure1,redefinition_k1_measure2,redefinition_k1_measure3,redefinition_k1_nat_1,redefinition_k2_measure2,redefinition_k4_measure1,redefinition_k4_supinf_1,redefinition_k5_measure1,redefinition_k5_numbers,redefinition_k5_setfam_1,redefinition_k7_funct_2,redefinition_k8_funct_2,redefinition_m2_relset_1,redefinition_m2_subset_1,reflexivity_r1_supinf_1,reflexivity_r1_tarski,spc0_boole,spc1_boole,spc1_numerals,t10_measure2,t13_measure3,t15_measure2,t1_arithm,t1_numerals,t1_subset,t20_supinf_1,t22_supinf_1,t27_measure2,t2_subset,t36_xboole_1,t3_boole,t3_subset,t4_boole,t4_subset,t5_subset,t62_measure1,t63_measure1,t6_boole,t6_measure3,t7_boole,t7_measure3,t8_boole]),
    [file(measure3,t14_measure3)]).

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

fof(cc10_membered,axiom,(
    ! [A] : 
      ( v1_membered(A)
     => ! [B] : 
          ( m1_subset_1(B,A)
         => v1_xcmplx_0(B) ) ) ),
    file(membered,cc10_membered),
    []).

fof(cc11_membered,axiom,(
    ! [A] : 
      ( v2_membered(A)
     => ! [B] : 
          ( m1_subset_1(B,A)
         => ( v1_xcmplx_0(B)
            & v1_xreal_0(B) ) ) ) ),
    file(membered,cc11_membered),
    []).

fof(cc12_membered,axiom,(
    ! [A] : 
      ( v3_membered(A)
     => ! [B] : 
          ( m1_subset_1(B,A)
         => ( v1_xcmplx_0(B)
            & v1_xreal_0(B)
            & v1_rat_1(B) ) ) ) ),
    file(membered,cc12_membered),
    []).

fof(cc13_membered,axiom,(
    ! [A] : 
      ( v4_membered(A)
     => ! [B] : 
          ( m1_subset_1(B,A)
         => ( v1_xcmplx_0(B)
            & v1_xreal_0(B)
            & v1_int_1(B)
            & v1_rat_1(B) ) ) ) ),
    file(membered,cc13_membered),
    []).

fof(cc14_membered,axiom,(
    ! [A] : 
      ( v5_membered(A)
     => ! [B] : 
          ( m1_subset_1(B,A)
         => ( v1_xcmplx_0(B)
            & v4_ordinal2(B)
            & v1_xreal_0(B)
            & v1_int_1(B)
            & v1_rat_1(B) ) ) ) ),
    file(membered,cc14_membered),
    []).

fof(cc15_membered,axiom,(
    ! [A] : 
      ( v1_xboole_0(A)
     => ( v1_membered(A)
        & v2_membered(A)
        & v3_membered(A)
        & v4_membered(A)
        & v5_membered(A) ) ) ),
    file(membered,cc15_membered),
    []).

fof(cc16_membered,axiom,(
    ! [A] : 
      ( v1_membered(A)
     => ! [B] : 
          ( m1_subset_1(B,k1_zfmisc_1(A))
         => v1_membered(B) ) ) ),
    file(membered,cc16_membered),
    []).

fof(cc17_membered,axiom,(
    ! [A] : 
      ( v2_membered(A)
     => ! [B] : 
          ( m1_subset_1(B,k1_zfmisc_1(A))
         => ( v1_membered(B)
            & v2_membered(B) ) ) ) ),
    file(membered,cc17_membered),
    []).

fof(cc18_membered,axiom,(
    ! [A] : 
      ( v3_membered(A)
     => ! [B] : 
          ( m1_subset_1(B,k1_zfmisc_1(A))
         => ( v1_membered(B)
            & v2_membered(B)
            & v3_membered(B) ) ) ) ),
    file(membered,cc18_membered),
    []).

fof(cc19_membered,axiom,(
    ! [A] : 
      ( v4_membered(A)
     => ! [B] : 
          ( m1_subset_1(B,k1_zfmisc_1(A))
         => ( v1_membered(B)
            & v2_membered(B)
            & v3_membered(B)
            & v4_membered(B) ) ) ) ),
    file(membered,cc19_membered),
    []).

fof(cc1_arytm_3,axiom,(
    ! [A] : 
      ( v3_ordinal1(A)
     => ! [B] : 
          ( m1_subset_1(B,A)
         => ( v1_ordinal1(B)
            & v2_ordinal1(B)
            & v3_ordinal1(B) ) ) ) ),
    file(arytm_3,cc1_arytm_3),
    []).

fof(cc1_measure1,axiom,(
    ! [A,B] : 
      ( m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A)))
     => ( ( v1_finsub_1(B)
          & v1_prob_1(B,A) )
       => v2_finsub_1(B) ) ) ),
    file(measure1,cc1_measure1),
    []).

fof(cc1_membered,axiom,(
    ! [A] : 
      ( v5_membered(A)
     => v4_membered(A) ) ),
    file(membered,cc1_membered),
    []).

fof(cc1_relset_1,axiom,(
    ! [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),
    []).

fof(cc1_supinf_1,axiom,(
    ! [A] : 
      ( m1_subset_1(A,k3_supinf_1)
     => v3_supinf_1(A) ) ),
    file(supinf_1,cc1_supinf_1),
    []).

fof(cc20_membered,axiom,(
    ! [A] : 
      ( v5_membered(A)
     => ! [B] : 
          ( m1_subset_1(B,k1_zfmisc_1(A))
         => ( v1_membered(B)
            & v2_membered(B)
            & v3_membered(B)
            & v4_membered(B)
            & v5_membered(B) ) ) ) ),
    file(membered,cc20_membered),
    []).

fof(cc2_arytm_3,axiom,(
    ! [A] : 
      ( ( v1_xboole_0(A)
        & v3_ordinal1(A) )
     => ( v1_ordinal1(A)
        & v2_ordinal1(A)
        & v3_ordinal1(A)
        & v4_ordinal2(A) ) ) ),
    file(arytm_3,cc2_arytm_3),
    []).

fof(cc2_measure1,axiom,(
    ! [A,B] : 
      ( m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A)))
     => ( ( v2_finsub_1(B)
          & v1_prob_1(B,A) )
       => v1_finsub_1(B) ) ) ),
    file(measure1,cc2_measure1),
    []).

fof(cc2_membered,axiom,(
    ! [A] : 
      ( v4_membered(A)
     => v3_membered(A) ) ),
    file(membered,cc2_membered),
    []).

fof(cc2_supinf_1,axiom,(
    ! [A] : 
      ( m1_subset_1(A,k1_numbers)
     => ( v1_xcmplx_0(A)
        & v1_xreal_0(A)
        & v3_supinf_1(A) ) ) ),
    file(supinf_1,cc2_supinf_1),
    []).

fof(cc3_arytm_3,axiom,(
    ! [A] : 
      ( m1_subset_1(A,k5_ordinal2)
     => ( v1_ordinal1(A)
        & v2_ordinal1(A)
        & v3_ordinal1(A)
        & v4_ordinal2(A) ) ) ),
    file(arytm_3,cc3_arytm_3),
    []).

fof(cc3_measure1,axiom,(
    ! [A,B] : 
      ( m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A)))
     => ( ( ~ v1_xboole_0(B)
          & v1_prob_1(B,A)
          & v1_measure1(B,A) )
       => ( ~ v1_xboole_0(B)
          & v1_prob_1(B,A)
          & v1_measure1(B,A) ) ) ) ),
    file(measure1,cc3_measure1),
    []).

fof(cc3_membered,axiom,(
    ! [A] : 
      ( v3_membered(A)
     => v2_membered(A) ) ),
    file(membered,cc3_membered),
    []).

fof(cc4_measure1,axiom,(
    ! [A,B] : 
      ( m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A)))
     => ( ( ~ v1_xboole_0(B)
          & v1_prob_1(B,A)
          & v1_measure1(B,A) )
       => ( ~ v1_xboole_0(B)
          & v1_finsub_1(B) ) ) ) ),
    file(measure1,cc4_measure1),
    []).

fof(cc4_membered,axiom,(
    ! [A] : 
      ( v2_membered(A)
     => v1_membered(A) ) ),
    file(membered,cc4_membered),
    []).

fof(cc6_membered,axiom,(
    ! [A] : 
      ( m1_subset_1(A,k1_zfmisc_1(k1_numbers))
     => ( v1_membered(A)
        & v2_membered(A) ) ) ),
    file(membered,cc6_membered),
    []).

fof(cc9_membered,axiom,(
    ! [A] : 
      ( m1_subset_1(A,k1_zfmisc_1(k5_numbers))
     => ( v1_membered(A)
        & v2_membered(A)
        & v3_membered(A)
        & v4_membered(A)
        & v5_membered(A) ) ) ),
    file(membered,cc9_membered),
    []).

fof(commutativity_k1_nat_1,axiom,(
    ! [A,B] : 
      ( ( m1_subset_1(A,k5_numbers)
        & m1_subset_1(B,k5_numbers) )
     => k1_nat_1(A,B) = k1_nat_1(B,A) ) ),
    file(nat_1,k1_nat_1),
    []).

fof(commutativity_k2_xcmplx_0,axiom,(
    ! [A,B] : 
      ( ( v1_xcmplx_0(A)
        & v1_xcmplx_0(B) )
     => k2_xcmplx_0(A,B) = k2_xcmplx_0(B,A) ) ),
    file(xcmplx_0,k2_xcmplx_0),
    []).

fof(connectedness_r1_supinf_1,axiom,(
    ! [A,B] : 
      ( ( m1_subset_1(A,k3_supinf_1)
        & m1_subset_1(B,k3_supinf_1) )
     => ( r1_supinf_1(A,B)
        | r1_supinf_1(B,A) ) ) ),
    file(supinf_1,r1_supinf_1),
    []).

fof(dt_k10_supinf_1,axiom,(
    ! [A] : 
      ( ( ~ v1_xboole_0(A)
        & m1_subset_1(A,k1_zfmisc_1(k3_supinf_1)) )
     => m1_subset_1(k10_supinf_1(A),k3_supinf_1) ) ),
    file(supinf_1,k10_supinf_1),
    []).

fof(dt_k17_supinf_2,axiom,(
    ! [A] : 
      ( ( v1_funct_1(A)
        & v1_funct_2(A,k5_numbers,k3_supinf_1)
        & m1_relset_1(A,k5_numbers,k3_supinf_1) )
     => ( ~ v1_xboole_0(k17_supinf_2(A))
        & v1_card_4(k17_supinf_2(A))
        & m1_subset_1(k17_supinf_2(A),k1_zfmisc_1(k3_supinf_1)) ) ) ),
    file(supinf_2,k17_supinf_2),
    []).

fof(dt_k1_funct_1,axiom,(
    $true ),
    file(funct_1,k1_funct_1),
    []).

fof(dt_k1_measure1,axiom,(
    ! [A,B,C] : 
      ( ( ~ v1_xboole_0(A)
        & v1_funct_1(B)
        & v1_funct_2(B,A,k3_supinf_1)
        & m1_relset_1(B,A,k3_supinf_1)
        & m1_subset_1(C,A) )
     => m1_subset_1(k1_measure1(A,B,C),k3_supinf_1) ) ),
    file(measure1,k1_measure1),
    []).

fof(dt_k1_measure2,axiom,(
    ! [A,B,C] : 
      ( ( ~ v1_xboole_0(B)
        & v1_prob_1(B,A)
        & v1_measure1(B,A)
        & m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A)))
        & m1_measure2(C,A,B) )
     => m2_subset_1(k1_measure2(A,B,C),k1_zfmisc_1(A),B) ) ),
    file(measure2,k1_measure2),
    []).

fof(dt_k1_measure3,axiom,(
    ! [A,B,C] : 
      ( ( ~ v1_xboole_0(B)
        & v1_prob_1(B,A)
        & v1_measure1(B,A)
        & m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A)))
        & v1_funct_1(C)
        & v1_funct_2(C,k5_numbers,B)
        & m1_relset_1(C,k5_numbers,B) )
     => m1_measure2(k1_measure3(A,B,C),A,B) ) ),
    file(measure3,k1_measure3),
    []).

fof(dt_k1_nat_1,axiom,(
    ! [A,B] : 
      ( ( m1_subset_1(A,k5_numbers)
        & m1_subset_1(B,k5_numbers) )
     => m2_subset_1(k1_nat_1(A,B),k1_numbers,k5_numbers) ) ),
    file(nat_1,k1_nat_1),
    []).

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

fof(dt_k1_setfam_1,axiom,(
    $true ),
    file(setfam_1,k1_setfam_1),
    []).

fof(dt_k1_supinf_1,axiom,(
    $true ),
    file(supinf_1,k1_supinf_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_measure2,axiom,(
    ! [A,B,C] : 
      ( ( ~ v1_xboole_0(B)
        & v1_prob_1(B,A)
        & v1_measure1(B,A)
        & m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A)))
        & m1_measure2(C,A,B) )
     => m2_subset_1(k2_measure2(A,B,C),k1_zfmisc_1(A),B) ) ),
    file(measure2,k2_measure2),
    []).

fof(dt_k2_relat_1,axiom,(
    $true ),
    file(relat_1,k2_relat_1),
    []).

fof(dt_k2_xcmplx_0,axiom,(
    $true ),
    file(xcmplx_0,k2_xcmplx_0),
    []).

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

fof(dt_k3_supinf_1,axiom,(
    $true ),
    file(supinf_1,k3_supinf_1),
    []).

fof(dt_k3_tarski,axiom,(
    $true ),
    file(tarski,k3_tarski),
    []).

fof(dt_k4_measure1,axiom,(
    ! [A,B,C,D] : 
      ( ( ~ v1_xboole_0(B)
        & v2_finsub_1(B)
        & v1_prob_1(B,A)
        & m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A)))
        & m1_subset_1(C,B)
        & m1_subset_1(D,B) )
     => m2_subset_1(k4_measure1(A,B,C,D),k1_zfmisc_1(A),B) ) ),
    file(measure1,k4_measure1),
    []).

fof(dt_k4_supinf_1,axiom,(
    m1_subset_1(k4_supinf_1,k3_supinf_1) ),
    file(supinf_1,k4_supinf_1),
    []).

fof(dt_k4_supinf_2,axiom,(
    ! [A,B] : 
      ( ( m1_subset_1(A,k3_supinf_1)
        & m1_subset_1(B,k3_supinf_1) )
     => m1_subset_1(k4_supinf_2(A,B),k3_supinf_1) ) ),
    file(supinf_2,k4_supinf_2),
    []).

fof(dt_k4_xboole_0,axiom,(
    $true ),
    file(xboole_0,k4_xboole_0),
    []).

fof(dt_k5_measure1,axiom,(
    ! [A,B,C] : 
      ( ( ~ v1_xboole_0(B)
        & v1_prob_1(B,A)
        & v1_measure1(B,A)
        & m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A)))
        & v1_funct_1(C)
        & v1_funct_2(C,k5_numbers,B)
        & m1_relset_1(C,k5_numbers,B) )
     => ( ~ v1_xboole_0(k5_measure1(A,B,C))
        & m1_subset_1(k5_measure1(A,B,C),k1_zfmisc_1(k1_zfmisc_1(A))) ) ) ),
    file(measure1,k5_measure1),
    []).

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_k5_relat_1,axiom,(
    ! [A,B] : 
      ( ( v1_relat_1(A)
        & v1_relat_1(B) )
     => v1_relat_1(k5_relat_1(A,B)) ) ),
    file(relat_1,k5_relat_1),
    []).

fof(dt_k5_setfam_1,axiom,(
    ! [A,B] : 
      ( m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A)))
     => m1_subset_1(k5_setfam_1(A,B),k1_zfmisc_1(A)) ) ),
    file(setfam_1,k5_setfam_1),
    []).

fof(dt_k7_funct_2,axiom,(
    ! [A,B,C,D,E] : 
      ( ( ~ v1_xboole_0(B)
        & v1_funct_1(D)
        & v1_funct_2(D,A,B)
        & m1_relset_1(D,A,B)
        & v1_funct_1(E)
        & v1_funct_2(E,B,C)
        & m1_relset_1(E,B,C) )
     => ( v1_funct_1(k7_funct_2(A,B,C,D,E))
        & v1_funct_2(k7_funct_2(A,B,C,D,E),A,C)
        & m2_relset_1(k7_funct_2(A,B,C,D,E),A,C) ) ) ),
    file(funct_2,k7_funct_2),
    []).

fof(dt_k8_funct_2,axiom,(
    ! [A,B,C,D] : 
      ( ( ~ v1_xboole_0(A)
        & v1_funct_1(C)
        & v1_funct_2(C,A,B)
        & m1_relset_1(C,A,B)
        & m1_subset_1(D,A) )
     => m1_subset_1(k8_funct_2(A,B,C,D),B) ) ),
    file(funct_2,k8_funct_2),
    []).

fof(dt_k9_supinf_1,axiom,(
    ! [A] : 
      ( ( ~ v1_xboole_0(A)
        & m1_subset_1(A,k1_zfmisc_1(k3_supinf_1)) )
     => m1_subset_1(k9_supinf_1(A),k3_supinf_1) ) ),
    file(supinf_1,k9_supinf_1),
    []).

fof(dt_m1_measure2,axiom,(
    ! [A,B] : 
      ( ( ~ v1_xboole_0(B)
        & v1_prob_1(B,A)
        & v1_measure1(B,A)
        & m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A))) )
     => ! [C] : 
          ( m1_measure2(C,A,B)
         => ( ~ v1_xboole_0(C)
            & v1_card_4(C)
            & m1_subset_1(C,k1_zfmisc_1(k1_zfmisc_1(A))) ) ) ) ),
    file(measure2,m1_measure2),
    []).

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_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(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),
    []).

fof(dt_m3_measure1,axiom,(
    ! [A,B] : 
      ( ( ~ v1_xboole_0(B)
        & v1_prob_1(B,A)
        & v1_measure1(B,A)
        & m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A))) )
     => ! [C] : 
          ( m3_measure1(C,A,B)
         => ( v1_funct_1(C)
            & v1_funct_2(C,B,k3_supinf_1)
            & m2_relset_1(C,B,k3_supinf_1) ) ) ) ),
    file(measure1,m3_measure1),
    []).

fof(existence_m1_measure2,axiom,(
    ! [A,B] : 
      ( ( ~ v1_xboole_0(B)
        & v1_prob_1(B,A)
        & v1_measure1(B,A)
        & m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A))) )
     => ? [C] : m1_measure2(C,A,B) ) ),
    file(measure2,m1_measure2),
    []).

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_relset_1,axiom,(
    ! [A,B] : 
    ? [C] : m2_relset_1(C,A,B) ),
    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),
    []).

fof(existence_m3_measure1,axiom,(
    ! [A,B] : 
      ( ( ~ v1_xboole_0(B)
        & v1_prob_1(B,A)
        & v1_measure1(B,A)
        & m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A))) )
     => ? [C] : m3_measure1(C,A,B) ) ),
    file(measure1,m3_measure1),
    []).

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

fof(fc1_supinf_1,axiom,(
    ~ v1_xboole_0(k3_supinf_1) ),
    file(supinf_1,fc1_supinf_1),
    []).

fof(fc2_membered,axiom,
    ( ~ v1_xboole_0(k1_numbers)
    & v1_membered(k1_numbers)
    & v2_membered(k1_numbers) ),
    file(membered,fc2_membered),
    []).

fof(fc37_membered,axiom,(
    ! [A,B] : 
      ( v1_membered(A)
     => v1_membered(k4_xboole_0(A,B)) ) ),
    file(membered,fc37_membered),
    []).

fof(fc38_membered,axiom,(
    ! [A,B] : 
      ( v2_membered(A)
     => ( v1_membered(k4_xboole_0(A,B))
        & v2_membered(k4_xboole_0(A,B)) ) ) ),
    file(membered,fc38_membered),
    []).

fof(fc39_membered,axiom,(
    ! [A,B] : 
      ( v3_membered(A)
     => ( v1_membered(k4_xboole_0(A,B))
        & v2_membered(k4_xboole_0(A,B))
        & v3_membered(k4_xboole_0(A,B)) ) ) ),
    file(membered,fc39_membered),
    []).

fof(fc40_membered,axiom,(
    ! [A,B] : 
      ( v4_membered(A)
     => ( v1_membered(k4_xboole_0(A,B))
        & v2_membered(k4_xboole_0(A,B))
        & v3_membered(k4_xboole_0(A,B))
        & v4_membered(k4_xboole_0(A,B)) ) ) ),
    file(membered,fc40_membered),
    []).

fof(fc41_membered,axiom,(
    ! [A,B] : 
      ( v5_membered(A)
     => ( v1_membered(k4_xboole_0(A,B))
        & v2_membered(k4_xboole_0(A,B))
        & v3_membered(k4_xboole_0(A,B))
        & v4_membered(k4_xboole_0(A,B))
        & v5_membered(k4_xboole_0(A,B)) ) ) ),
    file(membered,fc41_membered),
    []).

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

fof(fc5_membered,axiom,
    ( v1_membered(k5_ordinal2)
    & v2_membered(k5_ordinal2)
    & v3_membered(k5_ordinal2)
    & v4_membered(k5_ordinal2)
    & v5_membered(k5_ordinal2) ),
    file(membered,fc5_membered),
    []).

fof(fc6_membered,axiom,
    ( v1_xboole_0(k1_xboole_0)
    & v1_membered(k1_xboole_0)
    & v2_membered(k1_xboole_0)
    & v3_membered(k1_xboole_0)
    & v4_membered(k1_xboole_0)
    & v5_membered(k1_xboole_0) ),
    file(membered,fc6_membered),
    []).

fof(rc1_arytm_3,axiom,(
    ? [A] : 
      ( ~ v1_xboole_0(A)
      & v1_ordinal1(A)
      & v2_ordinal1(A)
      & v3_ordinal1(A)
      & v4_ordinal2(A) ) ),
    file(arytm_3,rc1_arytm_3),
    []).

fof(rc1_measure1,axiom,(
    ! [A] : 
    ? [B] : 
      ( m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A)))
      & ~ v1_xboole_0(B)
      & v1_finsub_1(B)
      & v2_finsub_1(B)
      & v1_prob_1(B,A) ) ),
    file(measure1,rc1_measure1),
    []).

fof(rc1_membered,axiom,(
    ? [A] : 
      ( ~ v1_xboole_0(A)
      & v1_membered(A)
      & v2_membered(A)
      & v3_membered(A)
      & v4_membered(A)
      & v5_membered(A) ) ),
    file(membered,rc1_membered),
    []).

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

fof(rc2_measure1,axiom,(
    ! [A] : 
    ? [B] : 
      ( m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A)))
      & ~ v1_xboole_0(B)
      & v1_card_4(B) ) ),
    file(measure1,rc2_measure1),
    []).

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

fof(rc3_measure1,axiom,(
    ! [A] : 
    ? [B] : 
      ( m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A)))
      & ~ v1_xboole_0(B)
      & v1_prob_1(B,A)
      & v1_measure1(B,A) ) ),
    file(measure1,rc3_measure1),
    []).

fof(rc3_supinf_1,axiom,(
    ? [A] : v3_supinf_1(A) ),
    file(supinf_1,rc3_supinf_1),
    []).

fof(redefinition_k17_supinf_2,axiom,(
    ! [A] : 
      ( ( v1_funct_1(A)
        & v1_funct_2(A,k5_numbers,k3_supinf_1)
        & m1_relset_1(A,k5_numbers,k3_supinf_1) )
     => k17_supinf_2(A) = k2_relat_1(A) ) ),
    file(supinf_2,k17_supinf_2),
    []).

fof(redefinition_k1_measure1,axiom,(
    ! [A,B,C] : 
      ( ( ~ v1_xboole_0(A)
        & v1_funct_1(B)
        & v1_funct_2(B,A,k3_supinf_1)
        & m1_relset_1(B,A,k3_supinf_1)
        & m1_subset_1(C,A) )
     => k1_measure1(A,B,C) = k1_funct_1(B,C) ) ),
    file(measure1,k1_measure1),
    []).

fof(redefinition_k1_measure2,axiom,(
    ! [A,B,C] : 
      ( ( ~ v1_xboole_0(B)
        & v1_prob_1(B,A)
        & v1_measure1(B,A)
        & m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A)))
        & m1_measure2(C,A,B) )
     => k1_measure2(A,B,C) = k1_setfam_1(C) ) ),
    file(measure2,k1_measure2),
    []).

fof(redefinition_k1_measure3,axiom,(
    ! [A,B,C] : 
      ( ( ~ v1_xboole_0(B)
        & v1_prob_1(B,A)
        & v1_measure1(B,A)
        & m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A)))
        & v1_funct_1(C)
        & v1_funct_2(C,k5_numbers,B)
        & m1_relset_1(C,k5_numbers,B) )
     => k1_measure3(A,B,C) = k2_relat_1(C) ) ),
    file(measure3,k1_measure3),
    []).

fof(redefinition_k1_nat_1,axiom,(
    ! [A,B] : 
      ( ( m1_subset_1(A,k5_numbers)
        & m1_subset_1(B,k5_numbers) )
     => k1_nat_1(A,B) = k2_xcmplx_0(A,B) ) ),
    file(nat_1,k1_nat_1),
    []).

fof(redefinition_k2_measure2,axiom,(
    ! [A,B,C] : 
      ( ( ~ v1_xboole_0(B)
        & v1_prob_1(B,A)
        & v1_measure1(B,A)
        & m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A)))
        & m1_measure2(C,A,B) )
     => k2_measure2(A,B,C) = k3_tarski(C) ) ),
    file(measure2,k2_measure2),
    []).

fof(redefinition_k4_measure1,axiom,(
    ! [A,B,C,D] : 
      ( ( ~ v1_xboole_0(B)
        & v2_finsub_1(B)
        & v1_prob_1(B,A)
        & m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A)))
        & m1_subset_1(C,B)
        & m1_subset_1(D,B) )
     => k4_measure1(A,B,C,D) = k4_xboole_0(C,D) ) ),
    file(measure1,k4_measure1),
    []).

fof(redefinition_k4_supinf_1,axiom,(
    k4_supinf_1 = k1_supinf_1 ),
    file(supinf_1,k4_supinf_1),
    []).

fof(redefinition_k5_measure1,axiom,(
    ! [A,B,C] : 
      ( ( ~ v1_xboole_0(B)
        & v1_prob_1(B,A)
        & v1_measure1(B,A)
        & m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A)))
        & v1_funct_1(C)
        & v1_funct_2(C,k5_numbers,B)
        & m1_relset_1(C,k5_numbers,B) )
     => k5_measure1(A,B,C) = k2_relat_1(C) ) ),
    file(measure1,k5_measure1),
    []).

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

fof(redefinition_k5_setfam_1,axiom,(
    ! [A,B] : 
      ( m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A)))
     => k5_setfam_1(A,B) = k3_tarski(B) ) ),
    file(setfam_1,k5_setfam_1),
    []).

fof(redefinition_k7_funct_2,axiom,(
    ! [A,B,C,D,E] : 
      ( ( ~ v1_xboole_0(B)
        & v1_funct_1(D)
        & v1_funct_2(D,A,B)
        & m1_relset_1(D,A,B)
        & v1_funct_1(E)
        & v1_funct_2(E,B,C)
        & m1_relset_1(E,B,C) )
     => k7_funct_2(A,B,C,D,E) = k5_relat_1(D,E) ) ),
    file(funct_2,k7_funct_2),
    []).

fof(redefinition_k8_funct_2,axiom,(
    ! [A,B,C,D] : 
      ( ( ~ v1_xboole_0(A)
        & v1_funct_1(C)
        & v1_funct_2(C,A,B)
        & m1_relset_1(C,A,B)
        & m1_subset_1(D,A) )
     => k8_funct_2(A,B,C,D) = k1_funct_1(C,D) ) ),
    file(funct_2,k8_funct_2),
    []).

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(redefinition_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,B) ) ) ),
    file(subset_1,m2_subset_1),
    []).

fof(reflexivity_r1_supinf_1,axiom,(
    ! [A,B] : 
      ( ( m1_subset_1(A,k3_supinf_1)
        & m1_subset_1(B,k3_supinf_1) )
     => r1_supinf_1(A,A) ) ),
    file(supinf_1,r1_supinf_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(t10_measure2,axiom,(
    ! [A,B] : 
      ( ( ~ v1_xboole_0(B)
        & v1_prob_1(B,A)
        & v1_measure1(B,A)
        & m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A))) )
     => ! [C] : 
          ( ( v1_funct_1(C)
            & v1_funct_2(C,k5_numbers,B)
            & m2_relset_1(C,k5_numbers,B) )
         => ? [D] : 
              ( v1_funct_1(D)
              & v1_funct_2(D,k5_numbers,B)
              & m2_relset_1(D,k5_numbers,B)
              & k8_funct_2(k5_numbers,B,D,0) = k1_xboole_0
              & ! [E] : 
                  ( m2_subset_1(E,k1_numbers,k5_numbers)
                 => k8_funct_2(k5_numbers,B,D,k1_nat_1(E,1)) = k4_measure1(A,B,k8_funct_2(k5_numbers,B,C,0),k8_funct_2(k5_numbers,B,C,E)) ) ) ) ) ),
    file(measure2,t10_measure2),
    []).

fof(t13_measure3,axiom,(
    ! [A,B] : 
      ( ( ~ v1_xboole_0(B)
        & v1_prob_1(B,A)
        & v1_measure1(B,A)
        & m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A))) )
     => ! [C] : 
          ( m3_measure1(C,A,B)
         => ! [D] : 
              ( ( v1_funct_1(D)
                & v1_funct_2(D,k5_numbers,B)
                & m2_relset_1(D,k5_numbers,B) )
             => ! [E] : 
                  ( ( v1_funct_1(E)
                    & v1_funct_2(E,k5_numbers,B)
                    & m2_relset_1(E,k5_numbers,B) )
                 => ( ( k8_funct_2(k5_numbers,B,D,0) = k1_xboole_0
                      & ! [F] : 
                          ( m2_subset_1(F,k1_numbers,k5_numbers)
                         => ( k8_funct_2(k5_numbers,B,D,k1_nat_1(F,1)) = k4_measure1(A,B,k8_funct_2(k5_numbers,B,E,0),k8_funct_2(k5_numbers,B,E,F))
                            & r1_tarski(k8_funct_2(k5_numbers,B,E,k1_nat_1(F,1)),k8_funct_2(k5_numbers,B,E,F)) ) ) )
                   => ( r1_supinf_1(k4_supinf_1,k1_measure1(B,C,k8_funct_2(k5_numbers,B,E,0)))
                      | k10_supinf_1(k17_supinf_2(k7_funct_2(k5_numbers,B,k3_supinf_1,E,C))) = k4_supinf_2(k1_measure1(B,C,k8_funct_2(k5_numbers,B,E,0)),k9_supinf_1(k17_supinf_2(k7_funct_2(k5_numbers,B,k3_supinf_1,D,C)))) ) ) ) ) ) ) ),
    file(measure3,t13_measure3),
    []).

fof(t15_measure2,axiom,(
    ! [A] : 
      ( ( v1_relat_1(A)
        & v1_funct_1(A) )
     => ! [B] : 
          ( ( v1_relat_1(B)
            & v1_funct_1(B) )
         => ( ( k1_funct_1(B,0) = k1_xboole_0
              & ! [C] : 
                  ( m2_subset_1(C,k1_numbers,k5_numbers)
                 => ( k1_funct_1(B,k1_nat_1(C,1)) = k4_xboole_0(k1_funct_1(A,0),k1_funct_1(A,C))
                    & r1_tarski(k1_funct_1(A,k1_nat_1(C,1)),k1_funct_1(A,C)) ) ) )
           => ! [C] : 
                ( m2_subset_1(C,k1_numbers,k5_numbers)
               => r1_tarski(k1_funct_1(B,C),k1_funct_1(B,k1_nat_1(C,1))) ) ) ) ) ),
    file(measure2,t15_measure2),
    []).

fof(t1_arithm,axiom,(
    ! [A] : 
      ( v1_xcmplx_0(A)
     => k2_xcmplx_0(A,0) = A ) ),
    file(arithm,t1_arithm),
    []).

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(t20_supinf_1,axiom,(
    ! [A] : 
      ( m1_subset_1(A,k3_supinf_1)
     => r1_supinf_1(A,k4_supinf_1) ) ),
    file(supinf_1,t20_supinf_1),
    []).

fof(t22_supinf_1,axiom,(
    ! [A] : 
      ( m1_subset_1(A,k3_supinf_1)
     => ! [B] : 
          ( m1_subset_1(B,k3_supinf_1)
         => ( ( r1_supinf_1(A,B)
              & r1_supinf_1(B,A) )
           => A = B ) ) ) ),
    file(supinf_1,t22_supinf_1),
    []).

fof(t27_measure2,axiom,(
    ! [A,B] : 
      ( ( ~ v1_xboole_0(B)
        & v1_prob_1(B,A)
        & v1_measure1(B,A)
        & m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A))) )
     => ! [C] : 
          ( m3_measure1(C,A,B)
         => ! [D] : 
              ( ( v1_funct_1(D)
                & v1_funct_2(D,k5_numbers,B)
                & m2_relset_1(D,k5_numbers,B) )
             => ( ! [E] : 
                    ( m2_subset_1(E,k1_numbers,k5_numbers)
                   => r1_tarski(k8_funct_2(k5_numbers,B,D,E),k8_funct_2(k5_numbers,B,D,k1_nat_1(E,1))) )
               => k1_funct_1(C,k5_setfam_1(A,k5_measure1(A,B,D))) = k9_supinf_1(k17_supinf_2(k7_funct_2(k5_numbers,B,k3_supinf_1,D,C))) ) ) ) ) ),
    file(measure2,t27_measure2),
    []).

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

fof(t36_xboole_1,axiom,(
    ! [A,B] : r1_tarski(k4_xboole_0(A,B),A) ),
    file(xboole_1,t36_xboole_1),
    []).

fof(t3_boole,axiom,(
    ! [A] : k4_xboole_0(A,k1_xboole_0) = A ),
    file(boole,t3_boole),
    []).

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

fof(t4_boole,axiom,(
    ! [A] : k4_xboole_0(k1_xboole_0,A) = k1_xboole_0 ),
    file(boole,t4_boole),
    []).

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(t62_measure1,axiom,(
    ! [A,B] : 
      ( ( ~ v1_xboole_0(B)
        & v1_prob_1(B,A)
        & v1_measure1(B,A)
        & m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A))) )
     => ! [C] : 
          ( m3_measure1(C,A,B)
         => ! [D] : 
              ( m2_subset_1(D,k1_zfmisc_1(A),B)
             => ! [E] : 
                  ( m2_subset_1(E,k1_zfmisc_1(A),B)
                 => ( r1_tarski(D,E)
                   => r1_supinf_1(k1_measure1(B,C,D),k1_measure1(B,C,E)) ) ) ) ) ) ),
    file(measure1,t62_measure1),
    []).

fof(t63_measure1,axiom,(
    ! [A,B] : 
      ( ( ~ v1_xboole_0(B)
        & v1_prob_1(B,A)
        & v1_measure1(B,A)
        & m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A))) )
     => ! [C] : 
          ( m3_measure1(C,A,B)
         => ! [D] : 
              ( m2_subset_1(D,k1_zfmisc_1(A),B)
             => ! [E] : 
                  ( m2_subset_1(E,k1_zfmisc_1(A),B)
                 => ( r1_tarski(D,E)
                   => ( r1_supinf_1(k4_supinf_1,k1_measure1(B,C,D))
                      | k1_measure1(B,C,k4_measure1(A,B,E,D)) = k4_supinf_2(k1_measure1(B,C,E),k1_measure1(B,C,D)) ) ) ) ) ) ) ),
    file(measure1,t63_measure1),
    []).

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

fof(t6_measure3,axiom,(
    ! [A,B] : 
      ( ( ~ v1_xboole_0(B)
        & v1_prob_1(B,A)
        & v1_measure1(B,A)
        & m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A))) )
     => ! [C] : 
          ( ( v1_funct_1(C)
            & v1_funct_2(C,k5_numbers,B)
            & m2_relset_1(C,k5_numbers,B) )
         => ! [D] : 
              ( ( v1_funct_1(D)
                & v1_funct_2(D,k5_numbers,B)
                & m2_relset_1(D,k5_numbers,B) )
             => ( ( k8_funct_2(k5_numbers,B,C,0) = k1_xboole_0
                  & ! [E] : 
                      ( m2_subset_1(E,k1_numbers,k5_numbers)
                     => ( k8_funct_2(k5_numbers,B,C,k1_nat_1(E,1)) = k4_measure1(A,B,k8_funct_2(k5_numbers,B,D,0),k8_funct_2(k5_numbers,B,D,E))
                        & r1_tarski(k8_funct_2(k5_numbers,B,D,k1_nat_1(E,1)),k8_funct_2(k5_numbers,B,D,E)) ) ) )
               => k2_measure2(A,B,k1_measure3(A,B,C)) = k4_measure1(A,B,k8_funct_2(k5_numbers,B,D,0),k1_measure2(A,B,k1_measure3(A,B,D))) ) ) ) ) ),
    file(measure3,t6_measure3),
    []).

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

fof(t7_measure3,axiom,(
    ! [A,B] : 
      ( ( ~ v1_xboole_0(B)
        & v1_prob_1(B,A)
        & v1_measure1(B,A)
        & m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A))) )
     => ! [C] : 
          ( ( v1_funct_1(C)
            & v1_funct_2(C,k5_numbers,B)
            & m2_relset_1(C,k5_numbers,B) )
         => ! [D] : 
              ( ( v1_funct_1(D)
                & v1_funct_2(D,k5_numbers,B)
                & m2_relset_1(D,k5_numbers,B) )
             => ( ( k8_funct_2(k5_numbers,B,C,0) = k1_xboole_0
                  & ! [E] : 
                      ( m2_subset_1(E,k1_numbers,k5_numbers)
                     => ( k8_funct_2(k5_numbers,B,C,k1_nat_1(E,1)) = k4_measure1(A,B,k8_funct_2(k5_numbers,B,D,0),k8_funct_2(k5_numbers,B,D,E))
                        & r1_tarski(k8_funct_2(k5_numbers,B,D,k1_nat_1(E,1)),k8_funct_2(k5_numbers,B,D,E)) ) ) )
               => k1_measure2(A,B,k1_measure3(A,B,D)) = k4_measure1(A,B,k8_funct_2(k5_numbers,B,D,0),k2_measure2(A,B,k1_measure3(A,B,C))) ) ) ) ) ),
    file(measure3,t7_measure3),
    []).

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