% Mizar problem: t14_scmfsa_1,scmfsa_1,503,11 
fof(t14_scmfsa_1,conjecture,(
    ! [A] : 
      ( v1_int_1(A)
     => ( k1_funct_1(k6_scmfsa_1,A) = k3_scmfsa_1
       => A = 0 ) ) ),
    inference(mizar_bg_added,[status(thm)],[antisymmetry_r2_hidden,cc1_arytm_3,cc1_finseq_1,cc1_fraenkel,cc1_funct_1,cc1_int_1,cc1_relset_1,cc1_setfam_1,cc2_arytm_3,cc2_funct_1,cc2_int_1,cc3_arytm_3,cc3_int_1,cc4_int_1,commutativity_k2_tarski,commutativity_k2_xboole_0,d1_scmfsa_1,d1_tarski,d2_int_1,d2_scmfsa_1,d2_xboole_0,d3_scmfsa_1,d4_scmfsa_1,d5_tarski,d6_scmfsa_1,dt_k10_finseq_1,dt_k10_pboole,dt_k11_finseq_1,dt_k13_finseq_1,dt_k1_funct_1,dt_k1_funct_4,dt_k1_gr_cy_1,dt_k1_numbers,dt_k1_scmfsa_1,dt_k1_tarski,dt_k1_xboole_0,dt_k1_zfmisc_1,dt_k2_ami_2,dt_k2_finseq_4,dt_k2_funcop_1,dt_k2_scmfsa_1,dt_k2_tarski,dt_k2_xboole_0,dt_k2_zfmisc_1,dt_k3_ami_2,dt_k3_cqc_lang,dt_k3_finseq_4,dt_k3_scmfsa_1,dt_k3_tarski,dt_k4_ami_2,dt_k4_numbers,dt_k4_scmfsa_1,dt_k4_tarski,dt_k4_xboole_0,dt_k5_ami_2,dt_k5_numbers,dt_k5_ordinal2,dt_k5_relat_1,dt_k6_scmfsa_1,dt_k7_relat_1,dt_k8_funct_2,dt_m1_finseq_1,dt_m1_relset_1,dt_m1_subset_1,dt_m2_finseq_1,dt_m2_relset_1,dt_m2_subset_1,existence_m1_finseq_1,existence_m1_relset_1,existence_m1_subset_1,existence_m2_finseq_1,existence_m2_relset_1,existence_m2_subset_1,fc16_finseq_1,fc1_ami_2,fc1_cqc_lang,fc1_funct_1,fc1_numbers,fc1_ordinal2,fc1_scmfsa_1,fc1_subset_1,fc1_xboole_0,fc1_zfmisc_1,fc2_ami_2,fc2_finseq_1,fc2_scmfsa_1,fc2_setfam_1,fc2_subset_1,fc2_xboole_0,fc3_ami_2,fc3_scmfsa_1,fc3_setfam_1,fc3_subset_1,fc3_xboole_0,fc4_funct_1,fc4_numbers,fc4_ordinal2,fc4_scmfsa_1,fc4_setfam_1,fc4_subset_1,fc5_finseq_1,fc6_finseq_1,fc7_finseq_1,fc8_finseq_1,fc9_finseq_1,fraenkel_a_0_0_scmfsa_1,fraenkel_a_0_1_scmfsa_1,idempotence_k1_funct_4,idempotence_k2_xboole_0,rc1_arytm_3,rc1_finseq_1,rc1_fraenkel,rc1_funct_1,rc1_int_1,rc1_pboole,rc1_setfam_1,rc1_subset_1,rc1_xboole_0,rc2_finseq_1,rc2_funct_1,rc2_int_1,rc2_subset_1,rc2_xboole_0,rc3_finseq_1,rc3_funct_1,rc4_finseq_1,rc4_funct_1,rc6_finseq_1,rc7_finseq_1,rc8_finseq_1,redefinition_k10_pboole,redefinition_k2_finseq_4,redefinition_k3_finseq_4,redefinition_k5_numbers,redefinition_k8_funct_2,redefinition_m2_finseq_1,redefinition_m2_relset_1,redefinition_m2_subset_1,reflexivity_r1_tarski,spc0_boole,spc10_boole,spc10_numerals,spc11_boole,spc11_numerals,spc12_boole,spc12_numerals,spc13_boole,spc13_numerals,spc9_boole,spc9_numerals,t10_scmfsa_1,t11_scmfsa_1,t12_scmfsa_1,t13_scmfsa_1,t1_boole,t1_numerals,t1_subset,t2_subset,t2_tarski,t3_boole,t3_subset,t4_boole,t4_subset,t5_subset,t6_boole,t7_boole,t8_boole,t8_scmfsa_1]),
    [file(scmfsa_1,t14_scmfsa_1)]).

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

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_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_funct_1,axiom,(
    ! [A] : 
      ( v1_xboole_0(A)
     => v1_funct_1(A) ) ),
    file(funct_1,cc1_funct_1),
    []).

fof(cc1_int_1,axiom,(
    ! [A] : 
      ( m1_subset_1(A,k4_numbers)
     => v1_int_1(A) ) ),
    file(int_1,cc1_int_1),
    []).

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_setfam_1,axiom,(
    ! [A] : 
      ( ( ~ v1_xboole_0(A)
        & v1_setfam_1(A) )
     => ! [B] : 
          ( m1_subset_1(B,A)
         => ~ v1_xboole_0(B) ) ) ),
    file(setfam_1,cc1_setfam_1),
    []).

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_funct_1,axiom,(
    ! [A] : 
      ( ( v1_relat_1(A)
        & v1_xboole_0(A)
        & v1_funct_1(A) )
     => ( v1_relat_1(A)
        & v1_funct_1(A)
        & v2_funct_1(A) ) ) ),
    file(funct_1,cc2_funct_1),
    []).

fof(cc2_int_1,axiom,(
    ! [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)
        & v1_int_1(A) ) ) ),
    file(int_1,cc2_int_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_int_1,axiom,(
    ! [A] : 
      ( v4_ordinal2(A)
     => v1_int_1(A) ) ),
    file(int_1,cc3_int_1),
    []).

fof(cc4_int_1,axiom,(
    ! [A] : 
      ( v1_int_1(A)
     => ( v1_xcmplx_0(A)
        & v1_xreal_0(A) ) ) ),
    file(int_1,cc4_int_1),
    []).

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

fof(commutativity_k2_xboole_0,axiom,(
    ! [A,B] : k2_xboole_0(A,B) = k2_xboole_0(B,A) ),
    file(xboole_0,k2_xboole_0),
    []).

fof(d1_scmfsa_1,axiom,(
    k1_scmfsa_1 = k2_ami_2 ),
    file(scmfsa_1,d1_scmfsa_1),
    []).

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

fof(d2_int_1,axiom,(
    ! [A] : 
      ( v1_int_1(A)
    <=> r2_hidden(A,k4_numbers) ) ),
    file(int_1,d2_int_1),
    []).

fof(d2_scmfsa_1,axiom,(
    k2_scmfsa_1 = k4_xboole_0(k4_numbers,k5_numbers) ),
    file(scmfsa_1,d2_scmfsa_1),
    []).

fof(d2_xboole_0,axiom,(
    ! [A,B,C] : 
      ( C = k2_xboole_0(A,B)
    <=> ! [D] : 
          ( r2_hidden(D,C)
        <=> ( r2_hidden(D,A)
            | r2_hidden(D,B) ) ) ) ),
    file(xboole_0,d2_xboole_0),
    []).

fof(d3_scmfsa_1,axiom,(
    k3_scmfsa_1 = k3_ami_2 ),
    file(scmfsa_1,d3_scmfsa_1),
    []).

fof(d4_scmfsa_1,axiom,(
    k4_scmfsa_1 = k2_xboole_0(k2_xboole_0(k4_ami_2,a_0_0_scmfsa_1),a_0_1_scmfsa_1) ),
    file(scmfsa_1,d4_scmfsa_1),
    []).

fof(d5_tarski,axiom,(
    ! [A,B] : k4_tarski(A,B) = k2_tarski(k2_tarski(A,B),k1_tarski(A)) ),
    file(tarski,d5_tarski),
    []).

fof(d6_scmfsa_1,axiom,(
    k6_scmfsa_1 = k1_funct_4(k1_funct_4(k10_pboole(k4_numbers,k13_finseq_1(k4_numbers)),k5_ami_2),k5_relat_1(k7_relat_1(k5_ami_2,k3_ami_2),k3_cqc_lang(k4_ami_2,k4_scmfsa_1))) ),
    file(scmfsa_1,d6_scmfsa_1),
    []).

fof(dt_k10_finseq_1,axiom,(
    $true ),
    file(finseq_1,k10_finseq_1),
    []).

fof(dt_k10_pboole,axiom,(
    ! [A,B] : 
      ( v1_funct_1(k10_pboole(A,B))
      & v1_funct_2(k10_pboole(A,B),A,k1_tarski(B))
      & m2_relset_1(k10_pboole(A,B),A,k1_tarski(B)) ) ),
    file(pboole,k10_pboole),
    []).

fof(dt_k11_finseq_1,axiom,(
    $true ),
    file(finseq_1,k11_finseq_1),
    []).

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

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

fof(dt_k1_funct_4,axiom,(
    ! [A,B] : 
      ( ( v1_relat_1(A)
        & v1_funct_1(A)
        & v1_relat_1(B)
        & v1_funct_1(B) )
     => ( v1_relat_1(k1_funct_4(A,B))
        & v1_funct_1(k1_funct_4(A,B)) ) ) ),
    file(funct_4,k1_funct_4),
    []).

fof(dt_k1_gr_cy_1,axiom,(
    ! [A] : 
      ( v4_ordinal2(A)
     => ( ~ v1_xboole_0(k1_gr_cy_1(A))
        & m1_subset_1(k1_gr_cy_1(A),k1_zfmisc_1(k5_numbers)) ) ) ),
    file(gr_cy_1,k1_gr_cy_1),
    []).

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

fof(dt_k1_scmfsa_1,axiom,(
    m1_subset_1(k1_scmfsa_1,k1_zfmisc_1(k4_numbers)) ),
    file(scmfsa_1,k1_scmfsa_1),
    []).

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

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_ami_2,axiom,(
    m1_subset_1(k2_ami_2,k1_zfmisc_1(k5_numbers)) ),
    file(ami_2,k2_ami_2),
    []).

fof(dt_k2_finseq_4,axiom,(
    ! [A,B,C] : 
      ( ( ~ v1_xboole_0(A)
        & m1_subset_1(B,A)
        & m1_subset_1(C,A) )
     => m2_finseq_1(k2_finseq_4(A,B,C),A) ) ),
    file(finseq_4,k2_finseq_4),
    []).

fof(dt_k2_funcop_1,axiom,(
    $true ),
    file(funcop_1,k2_funcop_1),
    []).

fof(dt_k2_scmfsa_1,axiom,(
    m1_subset_1(k2_scmfsa_1,k1_zfmisc_1(k4_numbers)) ),
    file(scmfsa_1,k2_scmfsa_1),
    []).

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

fof(dt_k2_xboole_0,axiom,(
    $true ),
    file(xboole_0,k2_xboole_0),
    []).

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

fof(dt_k3_ami_2,axiom,(
    m1_subset_1(k3_ami_2,k1_zfmisc_1(k5_numbers)) ),
    file(ami_2,k3_ami_2),
    []).

fof(dt_k3_cqc_lang,axiom,(
    $true ),
    file(cqc_lang,k3_cqc_lang),
    []).

fof(dt_k3_finseq_4,axiom,(
    ! [A,B,C,D] : 
      ( ( ~ v1_xboole_0(A)
        & m1_subset_1(B,A)
        & m1_subset_1(C,A)
        & m1_subset_1(D,A) )
     => m2_finseq_1(k3_finseq_4(A,B,C,D),A) ) ),
    file(finseq_4,k3_finseq_4),
    []).

fof(dt_k3_scmfsa_1,axiom,(
    m1_subset_1(k3_scmfsa_1,k1_zfmisc_1(k4_numbers)) ),
    file(scmfsa_1,k3_scmfsa_1),
    []).

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

fof(dt_k4_ami_2,axiom,(
    m1_subset_1(k4_ami_2,k1_zfmisc_1(k2_zfmisc_1(k1_gr_cy_1(9),k13_finseq_1(k2_xboole_0(k3_tarski(k1_tarski(k4_numbers)),k5_numbers))))) ),
    file(ami_2,k4_ami_2),
    []).

fof(dt_k4_numbers,axiom,(
    $true ),
    file(numbers,k4_numbers),
    []).

fof(dt_k4_scmfsa_1,axiom,(
    m1_subset_1(k4_scmfsa_1,k1_zfmisc_1(k2_zfmisc_1(k1_gr_cy_1(13),k13_finseq_1(k2_xboole_0(k3_tarski(k2_tarski(k4_numbers,k13_finseq_1(k4_numbers))),k4_numbers))))) ),
    file(scmfsa_1,k4_scmfsa_1),
    []).

fof(dt_k4_tarski,axiom,(
    $true ),
    file(tarski,k4_tarski),
    []).

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

fof(dt_k5_ami_2,axiom,
    ( v1_funct_1(k5_ami_2)
    & v1_funct_2(k5_ami_2,k5_numbers,k2_xboole_0(k1_tarski(k4_numbers),k2_tarski(k4_ami_2,k3_ami_2)))
    & m2_relset_1(k5_ami_2,k5_numbers,k2_xboole_0(k1_tarski(k4_numbers),k2_tarski(k4_ami_2,k3_ami_2))) ),
    file(ami_2,k5_ami_2),
    []).

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_k6_scmfsa_1,axiom,
    ( v1_funct_1(k6_scmfsa_1)
    & v1_funct_2(k6_scmfsa_1,k4_numbers,k2_xboole_0(k2_tarski(k4_numbers,k13_finseq_1(k4_numbers)),k2_tarski(k4_scmfsa_1,k3_scmfsa_1)))
    & m2_relset_1(k6_scmfsa_1,k4_numbers,k2_xboole_0(k2_tarski(k4_numbers,k13_finseq_1(k4_numbers)),k2_tarski(k4_scmfsa_1,k3_scmfsa_1))) ),
    file(scmfsa_1,k6_scmfsa_1),
    []).

fof(dt_k7_relat_1,axiom,(
    ! [A,B] : 
      ( v1_relat_1(A)
     => v1_relat_1(k7_relat_1(A,B)) ) ),
    file(relat_1,k7_relat_1),
    []).

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_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(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(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(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(fc16_finseq_1,axiom,(
    ! [A] : 
      ( ~ v1_xboole_0(k13_finseq_1(A))
      & v1_fraenkel(k13_finseq_1(A)) ) ),
    file(finseq_1,fc16_finseq_1),
    []).

fof(fc1_ami_2,axiom,
    ( ~ v1_xboole_0(k2_ami_2)
    & v1_membered(k2_ami_2)
    & v2_membered(k2_ami_2)
    & v3_membered(k2_ami_2)
    & v4_membered(k2_ami_2)
    & v5_membered(k2_ami_2) ),
    file(ami_2,fc1_ami_2),
    []).

fof(fc1_cqc_lang,axiom,(
    ! [A,B] : 
      ( v1_relat_1(k3_cqc_lang(A,B))
      & v1_funct_1(k3_cqc_lang(A,B)) ) ),
    file(cqc_lang,fc1_cqc_lang),
    []).

fof(fc1_funct_1,axiom,(
    ! [A,B] : 
      ( ( v1_relat_1(A)
        & v1_funct_1(A)
        & v1_relat_1(B)
        & v1_funct_1(B) )
     => ( v1_relat_1(k5_relat_1(A,B))
        & v1_funct_1(k5_relat_1(A,B)) ) ) ),
    file(funct_1,fc1_funct_1),
    []).

fof(fc1_numbers,axiom,(
    ~ v1_xboole_0(k1_numbers) ),
    file(numbers,fc1_numbers),
    []).

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_scmfsa_1,axiom,(
    ~ v1_xboole_0(k2_scmfsa_1) ),
    file(scmfsa_1,fc1_scmfsa_1),
    []).

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

fof(fc1_xboole_0,axiom,(
    v1_xboole_0(k1_xboole_0) ),
    file(xboole_0,fc1_xboole_0),
    []).

fof(fc1_zfmisc_1,axiom,(
    ! [A,B] : ~ v1_xboole_0(k4_tarski(A,B)) ),
    file(zfmisc_1,fc1_zfmisc_1),
    []).

fof(fc2_ami_2,axiom,
    ( ~ v1_xboole_0(k3_ami_2)
    & v1_membered(k3_ami_2)
    & v2_membered(k3_ami_2)
    & v3_membered(k3_ami_2)
    & v4_membered(k3_ami_2)
    & v5_membered(k3_ami_2) ),
    file(ami_2,fc2_ami_2),
    []).

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_scmfsa_1,axiom,(
    ~ v1_xboole_0(k1_scmfsa_1) ),
    file(scmfsa_1,fc2_scmfsa_1),
    []).

fof(fc2_setfam_1,axiom,(
    ! [A] : 
      ( ~ v1_xboole_0(A)
     => ( ~ v1_xboole_0(k1_tarski(A))
        & v1_setfam_1(k1_tarski(A)) ) ) ),
    file(setfam_1,fc2_setfam_1),
    []).

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

fof(fc2_xboole_0,axiom,(
    ! [A,B] : 
      ( ~ v1_xboole_0(A)
     => ~ v1_xboole_0(k2_xboole_0(A,B)) ) ),
    file(xboole_0,fc2_xboole_0),
    []).

fof(fc3_ami_2,axiom,
    ( v1_relat_1(k4_ami_2)
    & ~ v1_xboole_0(k4_ami_2) ),
    file(ami_2,fc3_ami_2),
    []).

fof(fc3_scmfsa_1,axiom,(
    ~ v1_xboole_0(k3_scmfsa_1) ),
    file(scmfsa_1,fc3_scmfsa_1),
    []).

fof(fc3_setfam_1,axiom,(
    ! [A,B] : 
      ( ( ~ v1_xboole_0(A)
        & ~ v1_xboole_0(B) )
     => ( ~ v1_xboole_0(k2_tarski(A,B))
        & v1_setfam_1(k2_tarski(A,B)) ) ) ),
    file(setfam_1,fc3_setfam_1),
    []).

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

fof(fc3_xboole_0,axiom,(
    ! [A,B] : 
      ( ~ v1_xboole_0(A)
     => ~ v1_xboole_0(k2_xboole_0(B,A)) ) ),
    file(xboole_0,fc3_xboole_0),
    []).

fof(fc4_funct_1,axiom,(
    ! [A,B] : 
      ( ( v1_relat_1(A)
        & v1_funct_1(A) )
     => ( v1_relat_1(k7_relat_1(A,B))
        & v1_funct_1(k7_relat_1(A,B)) ) ) ),
    file(funct_1,fc4_funct_1),
    []).

fof(fc4_numbers,axiom,(
    ~ v1_xboole_0(k4_numbers) ),
    file(numbers,fc4_numbers),
    []).

fof(fc4_ordinal2,axiom,(
    ! [A,B] : 
      ( v3_ordinal1(B)
     => ( v1_relat_1(k2_funcop_1(A,B))
        & v1_funct_1(k2_funcop_1(A,B))
        & v1_ordinal2(k2_funcop_1(A,B)) ) ) ),
    file(ordinal2,fc4_ordinal2),
    []).

fof(fc4_scmfsa_1,axiom,
    ( ~ v1_xboole_0(k4_scmfsa_1)
    & v1_relat_1(k4_scmfsa_1) ),
    file(scmfsa_1,fc4_scmfsa_1),
    []).

fof(fc4_setfam_1,axiom,(
    ! [A,B] : 
      ( ( v1_setfam_1(A)
        & v1_setfam_1(B) )
     => v1_setfam_1(k2_xboole_0(A,B)) ) ),
    file(setfam_1,fc4_setfam_1),
    []).

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_finseq_1,axiom,(
    ! [A,B] : 
      ( v1_relat_1(k10_finseq_1(A,B))
      & v1_funct_1(k10_finseq_1(A,B)) ) ),
    file(finseq_1,fc5_finseq_1),
    []).

fof(fc6_finseq_1,axiom,(
    ! [A,B,C] : 
      ( v1_relat_1(k11_finseq_1(A,B,C))
      & v1_funct_1(k11_finseq_1(A,B,C)) ) ),
    file(finseq_1,fc6_finseq_1),
    []).

fof(fc7_finseq_1,axiom,(
    ! [A,B] : 
      ( v1_relat_1(k10_finseq_1(A,B))
      & v1_funct_1(k10_finseq_1(A,B))
      & v1_finset_1(k10_finseq_1(A,B))
      & v1_finseq_1(k10_finseq_1(A,B)) ) ),
    file(finseq_1,fc7_finseq_1),
    []).

fof(fc8_finseq_1,axiom,(
    ! [A,B,C] : 
      ( v1_relat_1(k11_finseq_1(A,B,C))
      & v1_funct_1(k11_finseq_1(A,B,C))
      & v1_finset_1(k11_finseq_1(A,B,C))
      & v1_finseq_1(k11_finseq_1(A,B,C)) ) ),
    file(finseq_1,fc8_finseq_1),
    []).

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

fof(fraenkel_a_0_0_scmfsa_1,axiom,(
    ! [A] : 
      ( r2_hidden(A,a_0_0_scmfsa_1)
    <=> ? [B,C,D,E] : 
          ( m2_subset_1(B,k5_numbers,k1_gr_cy_1(13))
          & m2_subset_1(C,k4_numbers,k1_scmfsa_1)
          & m2_subset_1(D,k4_numbers,k1_scmfsa_1)
          & m2_subset_1(E,k4_numbers,k2_scmfsa_1)
          & A = k4_tarski(B,k3_finseq_4(k4_numbers,C,E,D))
          & r2_hidden(B,k2_tarski(9,10)) ) ) ),
    file(scmfsa_1,a_0_0_scmfsa_1),
    []).

fof(fraenkel_a_0_1_scmfsa_1,axiom,(
    ! [A] : 
      ( r2_hidden(A,a_0_1_scmfsa_1)
    <=> ? [B,C,D] : 
          ( m2_subset_1(B,k5_numbers,k1_gr_cy_1(13))
          & m2_subset_1(C,k4_numbers,k1_scmfsa_1)
          & m2_subset_1(D,k4_numbers,k2_scmfsa_1)
          & A = k4_tarski(B,k2_finseq_4(k4_numbers,C,D))
          & r2_hidden(B,k2_tarski(11,12)) ) ) ),
    file(scmfsa_1,a_0_1_scmfsa_1),
    []).

fof(idempotence_k1_funct_4,axiom,(
    ! [A,B] : 
      ( ( v1_relat_1(A)
        & v1_funct_1(A)
        & v1_relat_1(B)
        & v1_funct_1(B) )
     => k1_funct_4(A,A) = A ) ),
    file(funct_4,k1_funct_4),
    []).

fof(idempotence_k2_xboole_0,axiom,(
    ! [A,B] : k2_xboole_0(A,A) = A ),
    file(xboole_0,k2_xboole_0),
    []).

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_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_funct_1,axiom,(
    ? [A] : 
      ( v1_relat_1(A)
      & v1_funct_1(A) ) ),
    file(funct_1,rc1_funct_1),
    []).

fof(rc1_int_1,axiom,(
    ? [A] : 
      ( m1_subset_1(A,k1_numbers)
      & v1_xcmplx_0(A)
      & v1_xreal_0(A)
      & v1_int_1(A) ) ),
    file(int_1,rc1_int_1),
    []).

fof(rc1_pboole,axiom,(
    ? [A] : 
      ( v1_relat_1(A)
      & v3_relat_1(A)
      & v1_funct_1(A) ) ),
    file(pboole,rc1_pboole),
    []).

fof(rc1_setfam_1,axiom,(
    ? [A] : 
      ( ~ v1_xboole_0(A)
      & v1_setfam_1(A) ) ),
    file(setfam_1,rc1_setfam_1),
    []).

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(rc1_xboole_0,axiom,(
    ? [A] : v1_xboole_0(A) ),
    file(xboole_0,rc1_xboole_0),
    []).

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(rc2_funct_1,axiom,(
    ? [A] : 
      ( v1_relat_1(A)
      & v1_xboole_0(A)
      & v1_funct_1(A) ) ),
    file(funct_1,rc2_funct_1),
    []).

fof(rc2_int_1,axiom,(
    ? [A] : v1_int_1(A) ),
    file(int_1,rc2_int_1),
    []).

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(rc2_xboole_0,axiom,(
    ? [A] : ~ v1_xboole_0(A) ),
    file(xboole_0,rc2_xboole_0),
    []).

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(rc3_funct_1,axiom,(
    ? [A] : 
      ( v1_relat_1(A)
      & v1_funct_1(A)
      & v2_funct_1(A) ) ),
    file(funct_1,rc3_funct_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(rc4_funct_1,axiom,(
    ? [A] : 
      ( v1_relat_1(A)
      & v3_relat_1(A)
      & v1_funct_1(A) ) ),
    file(funct_1,rc4_funct_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_k10_pboole,axiom,(
    ! [A,B] : k10_pboole(A,B) = k2_funcop_1(A,B) ),
    file(pboole,k10_pboole),
    []).

fof(redefinition_k2_finseq_4,axiom,(
    ! [A,B,C] : 
      ( ( ~ v1_xboole_0(A)
        & m1_subset_1(B,A)
        & m1_subset_1(C,A) )
     => k2_finseq_4(A,B,C) = k10_finseq_1(B,C) ) ),
    file(finseq_4,k2_finseq_4),
    []).

fof(redefinition_k3_finseq_4,axiom,(
    ! [A,B,C,D] : 
      ( ( ~ v1_xboole_0(A)
        & m1_subset_1(B,A)
        & m1_subset_1(C,A)
        & m1_subset_1(D,A) )
     => k3_finseq_4(A,B,C,D) = k11_finseq_1(B,C,D) ) ),
    file(finseq_4,k3_finseq_4),
    []).

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

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_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(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_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(spc10_boole,axiom,(
    ~ v1_xboole_0(10) ),
    file(boole,spc10_boole),
    []).

fof(spc10_numerals,axiom,
    ( v2_xreal_0(10)
    & m1_subset_1(10,k5_numbers) ),
    file(numerals,spc10_numerals),
    []).

fof(spc11_boole,axiom,(
    ~ v1_xboole_0(11) ),
    file(boole,spc11_boole),
    []).

fof(spc11_numerals,axiom,
    ( v2_xreal_0(11)
    & m1_subset_1(11,k5_numbers) ),
    file(numerals,spc11_numerals),
    []).

fof(spc12_boole,axiom,(
    ~ v1_xboole_0(12) ),
    file(boole,spc12_boole),
    []).

fof(spc12_numerals,axiom,
    ( v2_xreal_0(12)
    & m1_subset_1(12,k5_numbers) ),
    file(numerals,spc12_numerals),
    []).

fof(spc13_boole,axiom,(
    ~ v1_xboole_0(13) ),
    file(boole,spc13_boole),
    []).

fof(spc13_numerals,axiom,
    ( v2_xreal_0(13)
    & m1_subset_1(13,k5_numbers) ),
    file(numerals,spc13_numerals),
    []).

fof(spc9_boole,axiom,(
    ~ v1_xboole_0(9) ),
    file(boole,spc9_boole),
    []).

fof(spc9_numerals,axiom,
    ( v2_xreal_0(9)
    & m1_subset_1(9,k5_numbers) ),
    file(numerals,spc9_numerals),
    []).

fof(t10_scmfsa_1,axiom,(
    ! [A] : 
      ( m2_subset_1(A,k4_numbers,k1_scmfsa_1)
     => k8_funct_2(k4_numbers,k2_xboole_0(k2_tarski(k4_numbers,k13_finseq_1(k4_numbers)),k2_tarski(k4_scmfsa_1,k3_scmfsa_1)),k6_scmfsa_1,A) = k4_numbers ) ),
    file(scmfsa_1,t10_scmfsa_1),
    []).

fof(t11_scmfsa_1,axiom,(
    ! [A] : 
      ( m2_subset_1(A,k4_numbers,k3_scmfsa_1)
     => k8_funct_2(k4_numbers,k2_xboole_0(k2_tarski(k4_numbers,k13_finseq_1(k4_numbers)),k2_tarski(k4_scmfsa_1,k3_scmfsa_1)),k6_scmfsa_1,A) = k4_scmfsa_1 ) ),
    file(scmfsa_1,t11_scmfsa_1),
    []).

fof(t12_scmfsa_1,axiom,(
    ! [A] : 
      ( m2_subset_1(A,k4_numbers,k2_scmfsa_1)
     => k8_funct_2(k4_numbers,k2_xboole_0(k2_tarski(k4_numbers,k13_finseq_1(k4_numbers)),k2_tarski(k4_scmfsa_1,k3_scmfsa_1)),k6_scmfsa_1,A) = k13_finseq_1(k4_numbers) ) ),
    file(scmfsa_1,t12_scmfsa_1),
    []).

fof(t13_scmfsa_1,axiom,
    ( k3_scmfsa_1 != k4_numbers
    & k4_scmfsa_1 != k4_numbers
    & k3_scmfsa_1 != k4_scmfsa_1
    & k3_scmfsa_1 != k13_finseq_1(k4_numbers)
    & k4_scmfsa_1 != k13_finseq_1(k4_numbers) ),
    file(scmfsa_1,t13_scmfsa_1),
    []).

fof(t1_boole,axiom,(
    ! [A] : k2_xboole_0(A,k1_xboole_0) = A ),
    file(boole,t1_boole),
    []).

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(t2_tarski,axiom,(
    ! [A,B] : 
      ( ! [C] : 
          ( r2_hidden(C,A)
        <=> r2_hidden(C,B) )
     => A = B ) ),
    file(tarski,t2_tarski),
    []).

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(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),
    []).

fof(t8_scmfsa_1,axiom,(
    k4_numbers = k2_xboole_0(k2_xboole_0(k2_xboole_0(k1_tarski(0),k1_scmfsa_1),k2_scmfsa_1),k3_scmfsa_1) ),
    file(scmfsa_1,t8_scmfsa_1),
    []).