% Mizar problem: t56_twoscomp,twoscomp,1663,46 
fof(t56_twoscomp,conjecture,(
    ! [A] : 
      ( ~ v1_facirc_1(A)
     => ! [B] : 
          ( ~ v1_facirc_1(B)
         => ! [C] : 
              ( m1_subset_1(C,k4_card_3(u4_msualg_1(k40_twoscomp(A,B),k41_twoscomp(A,B))))
             => ( k1_funct_1(k6_circuit2(k40_twoscomp(A,B),k41_twoscomp(A,B),C),k36_twoscomp(A,B)) = k1_funct_1(k15_twoscomp,k6_facirc_1(k1_funct_1(C,A),k1_funct_1(C,B)))
                & k1_funct_1(k6_circuit2(k40_twoscomp(A,B),k41_twoscomp(A,B),C),A) = k1_funct_1(C,A)
                & k1_funct_1(k6_circuit2(k40_twoscomp(A,B),k41_twoscomp(A,B),C),B) = k1_funct_1(C,B) ) ) ) ) ),
    inference(mizar_bg_added,[status(thm)],[abstractness_v1_msualg_1,abstractness_v4_msualg_1,antisymmetry_r2_hidden,cc1_circcomb,cc1_facirc_1,cc1_fraenkel,cc1_margrel1,cc1_relset_1,cc2_circcomb,cc2_facirc_1,cc3_circcomb,cc3_facirc_1,cc4_facirc_1,d33_twoscomp,d34_twoscomp,d35_twoscomp,d36_twoscomp,d37_twoscomp,d39_twoscomp,d40_twoscomp,d5_circuit2,dt_g1_msualg_1,dt_g3_msualg_1,dt_k10_circcomb,dt_k10_facirc_1,dt_k10_finseq_1,dt_k13_finseq_1,dt_k15_twoscomp,dt_k1_funct_1,dt_k1_numbers,dt_k1_relat_1,dt_k1_zfmisc_1,dt_k2_msafree2,dt_k2_relat_1,dt_k2_zfmisc_1,dt_k34_twoscomp,dt_k35_twoscomp,dt_k36_twoscomp,dt_k37_twoscomp,dt_k38_twoscomp,dt_k3_circcomb,dt_k3_circuit1,dt_k3_finseq_2,dt_k3_msafree2,dt_k3_msualg_1,dt_k3_twoscomp,dt_k40_twoscomp,dt_k41_twoscomp,dt_k4_card_3,dt_k4_circcomb,dt_k4_finseq_2,dt_k4_msafree2,dt_k4_msualg_1,dt_k4_tarski,dt_k5_msafree2,dt_k5_msualg_1,dt_k5_numbers,dt_k5_ordinal2,dt_k5_relat_1,dt_k6_circuit2,dt_k6_facirc_1,dt_k6_margrel1,dt_k6_pboole,dt_k7_circcomb,dt_k7_pboole,dt_k8_funct_2,dt_l1_msualg_1,dt_l1_struct_0,dt_l2_msualg_1,dt_l3_msualg_1,dt_m1_circcomb,dt_m1_finseq_2,dt_m1_pboole,dt_m1_relset_1,dt_m1_struct_0,dt_m1_subset_1,dt_m2_relset_1,dt_m3_pboole,dt_u1_msualg_1,dt_u1_struct_0,dt_u2_msualg_1,dt_u3_msualg_1,dt_u4_msualg_1,dt_u5_msualg_1,existence_l1_msualg_1,existence_l1_struct_0,existence_l2_msualg_1,existence_l3_msualg_1,existence_m1_circcomb,existence_m1_finseq_2,existence_m1_pboole,existence_m1_relset_1,existence_m1_struct_0,existence_m1_subset_1,existence_m2_relset_1,existence_m3_pboole,fc11_circcomb,fc12_circcomb,fc13_circcomb,fc13_facirc_1,fc15_circcomb,fc15_facirc_1,fc1_facirc_1,fc3_card_3,fc3_circcomb,fc3_margrel1,fc4_circcomb,fc6_circcomb,fc7_circcomb,fc8_circcomb,fc9_circcomb,free_g1_msualg_1,free_g3_msualg_1,rc1_circcomb,rc1_facirc_1,rc1_fraenkel,rc2_circcomb,rc2_facirc_1,rc2_margrel1,rc3_circcomb,rc3_facirc_1,rc4_circcomb,rc4_facirc_1,rc5_circcomb,rc5_facirc_1,rc6_circcomb,rc7_circcomb,redefinition_k10_circcomb,redefinition_k3_finseq_2,redefinition_k4_msafree2,redefinition_k5_numbers,redefinition_k6_facirc_1,redefinition_k7_pboole,redefinition_k8_funct_2,redefinition_m1_struct_0,redefinition_m2_relset_1,reflexivity_r1_tarski,spc2_numerals,t145_finseq_2,t1_subset,t2_subset,t35_facirc_1,t37_facirc_1,t3_subset,t47_twoscomp,t4_circuit1,t4_subset,t50_twoscomp,t52_twoscomp,t5_subset]),
    [file(twoscomp,t56_twoscomp)]).

fof(abstractness_v1_msualg_1,axiom,(
    ! [A] : 
      ( l1_msualg_1(A)
     => ( v1_msualg_1(A)
       => A = g1_msualg_1(u1_struct_0(A),u1_msualg_1(A),u2_msualg_1(A),u3_msualg_1(A)) ) ) ),
    file(msualg_1,v1_msualg_1),
    []).

fof(abstractness_v4_msualg_1,axiom,(
    ! [A,B] : 
      ( ( ~ v3_struct_0(A)
        & l1_msualg_1(A)
        & l3_msualg_1(B,A) )
     => ( v4_msualg_1(B,A)
       => B = g3_msualg_1(A,u4_msualg_1(A,B),u5_msualg_1(A,B)) ) ) ),
    file(msualg_1,v4_msualg_1),
    []).

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

fof(cc1_circcomb,axiom,(
    ! [A] : 
      ( l1_msualg_1(A)
     => ( ( ~ v3_struct_0(A)
          & v3_circcomb(A) )
       => ( ~ v3_struct_0(A)
          & v5_circcomb(A) ) ) ) ),
    file(circcomb,cc1_circcomb),
    []).

fof(cc1_facirc_1,axiom,(
    ! [A] : 
      ( v1_facirc_1(A)
     => ~ v1_xboole_0(A) ) ),
    file(facirc_1,cc1_facirc_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_margrel1,axiom,(
    ! [A] : 
      ( m1_subset_1(A,k6_margrel1)
     => v2_margrel1(A) ) ),
    file(margrel1,cc1_margrel1),
    []).

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(cc2_circcomb,axiom,(
    ! [A] : 
      ( l1_msualg_1(A)
     => ( ( ~ v3_struct_0(A)
          & v1_circcomb(A) )
       => ( ~ v3_struct_0(A)
          & v2_msafree2(A) ) ) ) ),
    file(circcomb,cc2_circcomb),
    []).

fof(cc2_facirc_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)
        & ~ v1_facirc_1(A) ) ) ),
    file(facirc_1,cc2_facirc_1),
    []).

fof(cc3_circcomb,axiom,(
    ! [A] : 
      ( ( ~ v3_struct_0(A)
        & l1_msualg_1(A) )
     => ! [B] : 
          ( l3_msualg_1(B,A)
         => ( v6_circcomb(B,A)
           => ( v5_msualg_1(B,A)
              & v3_msafree2(B,A)
              & v4_msafree2(B,A) ) ) ) ) ),
    file(circcomb,cc3_circcomb),
    []).

fof(cc3_facirc_1,axiom,(
    ! [A] : 
      ( v1_xboole_0(A)
     => ~ v2_facirc_1(A) ) ),
    file(facirc_1,cc3_facirc_1),
    []).

fof(cc4_facirc_1,axiom,(
    ! [A] : 
      ( ( v1_relat_1(A)
        & ~ v2_facirc_1(A) )
     => ( v1_xboole_0(A)
        & v1_relat_1(A)
        & v1_funct_1(A)
        & v2_funct_1(A)
        & v1_ordinal1(A)
        & v2_ordinal1(A)
        & v3_ordinal1(A)
        & v4_ordinal2(A)
        & v1_xcmplx_0(A)
        & v1_xreal_0(A)
        & ~ v2_xreal_0(A)
        & ~ v3_xreal_0(A)
        & ~ v2_facirc_1(A) ) ) ),
    file(facirc_1,cc4_facirc_1),
    []).

fof(d33_twoscomp,axiom,(
    ! [A,B] : k34_twoscomp(A,B) = k7_circcomb(k15_twoscomp,k6_facirc_1(A,B)) ),
    file(twoscomp,d33_twoscomp),
    []).

fof(d34_twoscomp,axiom,(
    ! [A,B] : k35_twoscomp(A,B) = k10_facirc_1(A,B,k15_twoscomp) ),
    file(twoscomp,d34_twoscomp),
    []).

fof(d35_twoscomp,axiom,(
    ! [A,B] : k36_twoscomp(A,B) = k4_tarski(k6_facirc_1(A,B),k15_twoscomp) ),
    file(twoscomp,d35_twoscomp),
    []).

fof(d36_twoscomp,axiom,(
    ! [A,B] : k37_twoscomp(A,B) = k7_circcomb(k3_twoscomp,k6_facirc_1(A,B)) ),
    file(twoscomp,d36_twoscomp),
    []).

fof(d37_twoscomp,axiom,(
    ! [A,B] : k38_twoscomp(A,B) = k10_facirc_1(A,B,k3_twoscomp) ),
    file(twoscomp,d37_twoscomp),
    []).

fof(d39_twoscomp,axiom,(
    ! [A,B] : k40_twoscomp(A,B) = k3_circcomb(k34_twoscomp(A,B),k37_twoscomp(A,B)) ),
    file(twoscomp,d39_twoscomp),
    []).

fof(d40_twoscomp,axiom,(
    ! [A,B] : k41_twoscomp(A,B) = k4_circcomb(k34_twoscomp(A,B),k37_twoscomp(A,B),k35_twoscomp(A,B),k38_twoscomp(A,B)) ),
    file(twoscomp,d40_twoscomp),
    []).

fof(d5_circuit2,axiom,(
    ! [A] : 
      ( ( ~ v3_struct_0(A)
        & ~ v2_msualg_1(A)
        & v2_msafree2(A)
        & l1_msualg_1(A) )
     => ! [B] : 
          ( ( v5_msualg_1(B,A)
            & v4_msafree2(B,A)
            & l3_msualg_1(B,A) )
         => ! [C] : 
              ( m1_subset_1(C,k4_card_3(u4_msualg_1(A,B)))
             => ! [D] : 
                  ( m1_subset_1(D,k4_card_3(u4_msualg_1(A,B)))
                 => ( D = k6_circuit2(A,B,C)
                  <=> ! [E] : 
                        ( m1_subset_1(E,u1_struct_0(A))
                       => ( ( r2_hidden(E,k2_msafree2(A))
                           => k1_funct_1(D,E) = k1_funct_1(C,E) )
                          & ( r2_hidden(E,k4_msafree2(A))
                           => k1_funct_1(D,E) = k8_funct_2(k3_msualg_1(A,k5_msafree2(A,E),B),k4_msualg_1(A,k5_msafree2(A,E),B),k5_msualg_1(A,k5_msafree2(A,E),B),k3_circuit1(A,B,C,k5_msafree2(A,E))) ) ) ) ) ) ) ) ) ),
    file(circuit2,d5_circuit2),
    []).

fof(dt_g1_msualg_1,axiom,(
    ! [A,B,C,D] : 
      ( ( v1_funct_1(C)
        & v1_funct_2(C,B,k3_finseq_2(A))
        & m1_relset_1(C,B,k3_finseq_2(A))
        & v1_funct_1(D)
        & v1_funct_2(D,B,A)
        & m1_relset_1(D,B,A) )
     => ( v1_msualg_1(g1_msualg_1(A,B,C,D))
        & l1_msualg_1(g1_msualg_1(A,B,C,D)) ) ) ),
    file(msualg_1,g1_msualg_1),
    []).

fof(dt_g3_msualg_1,axiom,(
    ! [A,B,C] : 
      ( ( ~ v3_struct_0(A)
        & l1_msualg_1(A)
        & m1_pboole(B,u1_struct_0(A))
        & m3_pboole(C,u1_msualg_1(A),k7_pboole(u1_msualg_1(A),k3_finseq_2(u1_struct_0(A)),u2_msualg_1(A),k6_pboole(u1_struct_0(A),B)),k7_pboole(u1_msualg_1(A),u1_struct_0(A),u3_msualg_1(A),B)) )
     => ( v4_msualg_1(g3_msualg_1(A,B,C),A)
        & l3_msualg_1(g3_msualg_1(A,B,C),A) ) ) ),
    file(msualg_1,g3_msualg_1),
    []).

fof(dt_k10_circcomb,axiom,
    ( ~ v1_xboole_0(k10_circcomb)
    & v1_finset_1(k10_circcomb)
    & m1_subset_1(k10_circcomb,k1_zfmisc_1(k5_numbers)) ),
    file(circcomb,k10_circcomb),
    []).

fof(dt_k10_facirc_1,axiom,(
    ! [A,B,C] : 
      ( ( v1_funct_1(C)
        & v1_funct_2(C,k4_finseq_2(2,k10_circcomb),k10_circcomb)
        & m1_relset_1(C,k4_finseq_2(2,k10_circcomb),k10_circcomb) )
     => ( v4_msualg_1(k10_facirc_1(A,B,C),k7_circcomb(C,k6_facirc_1(A,B)))
        & v4_msafree2(k10_facirc_1(A,B,C),k7_circcomb(C,k6_facirc_1(A,B)))
        & v4_circcomb(k10_facirc_1(A,B,C),k7_circcomb(C,k6_facirc_1(A,B)))
        & v6_circcomb(k10_facirc_1(A,B,C),k7_circcomb(C,k6_facirc_1(A,B)))
        & l3_msualg_1(k10_facirc_1(A,B,C),k7_circcomb(C,k6_facirc_1(A,B))) ) ) ),
    file(facirc_1,k10_facirc_1),
    []).

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

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

fof(dt_k15_twoscomp,axiom,
    ( v1_funct_1(k15_twoscomp)
    & v1_funct_2(k15_twoscomp,k4_finseq_2(2,k10_circcomb),k10_circcomb)
    & m2_relset_1(k15_twoscomp,k4_finseq_2(2,k10_circcomb),k10_circcomb) ),
    file(twoscomp,k15_twoscomp),
    []).

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

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

fof(dt_k1_relat_1,axiom,(
    $true ),
    file(relat_1,k1_relat_1),
    []).

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

fof(dt_k2_msafree2,axiom,(
    ! [A] : 
      ( ( ~ v3_struct_0(A)
        & l1_msualg_1(A) )
     => m1_subset_1(k2_msafree2(A),k1_zfmisc_1(u1_struct_0(A))) ) ),
    file(msafree2,k2_msafree2),
    []).

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

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

fof(dt_k34_twoscomp,axiom,(
    ! [A,B] : 
      ( ~ v3_struct_0(k34_twoscomp(A,B))
      & v1_msualg_1(k34_twoscomp(A,B))
      & ~ v2_msualg_1(k34_twoscomp(A,B))
      & v1_circcomb(k34_twoscomp(A,B))
      & v2_circcomb(k34_twoscomp(A,B))
      & v3_circcomb(k34_twoscomp(A,B))
      & l1_msualg_1(k34_twoscomp(A,B)) ) ),
    file(twoscomp,k34_twoscomp),
    []).

fof(dt_k35_twoscomp,axiom,(
    ! [A,B] : 
      ( v4_msualg_1(k35_twoscomp(A,B),k34_twoscomp(A,B))
      & v4_msafree2(k35_twoscomp(A,B),k34_twoscomp(A,B))
      & v4_circcomb(k35_twoscomp(A,B),k34_twoscomp(A,B))
      & v6_circcomb(k35_twoscomp(A,B),k34_twoscomp(A,B))
      & l3_msualg_1(k35_twoscomp(A,B),k34_twoscomp(A,B)) ) ),
    file(twoscomp,k35_twoscomp),
    []).

fof(dt_k36_twoscomp,axiom,(
    ! [A,B] : m1_struct_0(k36_twoscomp(A,B),k34_twoscomp(A,B),k4_msafree2(k34_twoscomp(A,B))) ),
    file(twoscomp,k36_twoscomp),
    []).

fof(dt_k37_twoscomp,axiom,(
    ! [A,B] : 
      ( ~ v3_struct_0(k37_twoscomp(A,B))
      & v1_msualg_1(k37_twoscomp(A,B))
      & ~ v2_msualg_1(k37_twoscomp(A,B))
      & v1_circcomb(k37_twoscomp(A,B))
      & v2_circcomb(k37_twoscomp(A,B))
      & v3_circcomb(k37_twoscomp(A,B))
      & l1_msualg_1(k37_twoscomp(A,B)) ) ),
    file(twoscomp,k37_twoscomp),
    []).

fof(dt_k38_twoscomp,axiom,(
    ! [A,B] : 
      ( v4_msualg_1(k38_twoscomp(A,B),k37_twoscomp(A,B))
      & v4_msafree2(k38_twoscomp(A,B),k37_twoscomp(A,B))
      & v4_circcomb(k38_twoscomp(A,B),k37_twoscomp(A,B))
      & v6_circcomb(k38_twoscomp(A,B),k37_twoscomp(A,B))
      & l3_msualg_1(k38_twoscomp(A,B),k37_twoscomp(A,B)) ) ),
    file(twoscomp,k38_twoscomp),
    []).

fof(dt_k3_circcomb,axiom,(
    ! [A,B] : 
      ( ( ~ v3_struct_0(A)
        & l1_msualg_1(A)
        & ~ v3_struct_0(B)
        & l1_msualg_1(B) )
     => ( ~ v3_struct_0(k3_circcomb(A,B))
        & v1_msualg_1(k3_circcomb(A,B))
        & l1_msualg_1(k3_circcomb(A,B)) ) ) ),
    file(circcomb,k3_circcomb),
    []).

fof(dt_k3_circuit1,axiom,(
    ! [A,B,C,D] : 
      ( ( ~ v3_struct_0(A)
        & ~ v2_msualg_1(A)
        & v2_msafree2(A)
        & l1_msualg_1(A)
        & v5_msualg_1(B,A)
        & v4_msafree2(B,A)
        & l3_msualg_1(B,A)
        & m1_subset_1(C,k4_card_3(u4_msualg_1(A,B)))
        & m1_subset_1(D,u1_msualg_1(A)) )
     => m1_subset_1(k3_circuit1(A,B,C,D),k3_msualg_1(A,D,B)) ) ),
    file(circuit1,k3_circuit1),
    []).

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),
    []).

fof(dt_k3_msafree2,axiom,(
    ! [A] : 
      ( ( ~ v3_struct_0(A)
        & l1_msualg_1(A) )
     => m1_subset_1(k3_msafree2(A),k1_zfmisc_1(u1_struct_0(A))) ) ),
    file(msafree2,k3_msafree2),
    []).

fof(dt_k3_msualg_1,axiom,(
    ! [A,B,C] : 
      ( ( ~ v3_struct_0(A)
        & ~ v2_msualg_1(A)
        & l1_msualg_1(A)
        & m1_subset_1(B,u1_msualg_1(A))
        & l3_msualg_1(C,A) )
     => m1_subset_1(k3_msualg_1(A,B,C),k2_relat_1(k6_pboole(u1_struct_0(A),u4_msualg_1(A,C)))) ) ),
    file(msualg_1,k3_msualg_1),
    []).

fof(dt_k3_twoscomp,axiom,
    ( v1_funct_1(k3_twoscomp)
    & v1_funct_2(k3_twoscomp,k4_finseq_2(2,k10_circcomb),k10_circcomb)
    & m2_relset_1(k3_twoscomp,k4_finseq_2(2,k10_circcomb),k10_circcomb) ),
    file(twoscomp,k3_twoscomp),
    []).

fof(dt_k40_twoscomp,axiom,(
    ! [A,B] : 
      ( ~ v3_struct_0(k40_twoscomp(A,B))
      & v1_msualg_1(k40_twoscomp(A,B))
      & ~ v2_msualg_1(k40_twoscomp(A,B))
      & v1_circcomb(k40_twoscomp(A,B))
      & v2_circcomb(k40_twoscomp(A,B))
      & v3_circcomb(k40_twoscomp(A,B))
      & l1_msualg_1(k40_twoscomp(A,B)) ) ),
    file(twoscomp,k40_twoscomp),
    []).

fof(dt_k41_twoscomp,axiom,(
    ! [A,B] : 
      ( v4_msualg_1(k41_twoscomp(A,B),k40_twoscomp(A,B))
      & v4_msafree2(k41_twoscomp(A,B),k40_twoscomp(A,B))
      & v4_circcomb(k41_twoscomp(A,B),k40_twoscomp(A,B))
      & v6_circcomb(k41_twoscomp(A,B),k40_twoscomp(A,B))
      & l3_msualg_1(k41_twoscomp(A,B),k40_twoscomp(A,B)) ) ),
    file(twoscomp,k41_twoscomp),
    []).

fof(dt_k4_card_3,axiom,(
    $true ),
    file(card_3,k4_card_3),
    []).

fof(dt_k4_circcomb,axiom,(
    ! [A,B,C,D] : 
      ( ( ~ v3_struct_0(A)
        & l1_msualg_1(A)
        & ~ v3_struct_0(B)
        & l1_msualg_1(B)
        & v5_msualg_1(C,A)
        & l3_msualg_1(C,A)
        & v5_msualg_1(D,B)
        & l3_msualg_1(D,B) )
     => ( v4_msualg_1(k4_circcomb(A,B,C,D),k3_circcomb(A,B))
        & v5_msualg_1(k4_circcomb(A,B,C,D),k3_circcomb(A,B))
        & l3_msualg_1(k4_circcomb(A,B,C,D),k3_circcomb(A,B)) ) ) ),
    file(circcomb,k4_circcomb),
    []).

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),
    []).

fof(dt_k4_msafree2,axiom,(
    ! [A] : 
      ( ( ~ v3_struct_0(A)
        & ~ v2_msualg_1(A)
        & l1_msualg_1(A) )
     => ( ~ v1_xboole_0(k4_msafree2(A))
        & m1_subset_1(k4_msafree2(A),k1_zfmisc_1(u1_struct_0(A))) ) ) ),
    file(msafree2,k4_msafree2),
    []).

fof(dt_k4_msualg_1,axiom,(
    ! [A,B,C] : 
      ( ( ~ v3_struct_0(A)
        & ~ v2_msualg_1(A)
        & l1_msualg_1(A)
        & m1_subset_1(B,u1_msualg_1(A))
        & l3_msualg_1(C,A) )
     => m1_subset_1(k4_msualg_1(A,B,C),k2_relat_1(u4_msualg_1(A,C))) ) ),
    file(msualg_1,k4_msualg_1),
    []).

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

fof(dt_k5_msafree2,axiom,(
    ! [A,B] : 
      ( ( ~ v3_struct_0(A)
        & ~ v2_msualg_1(A)
        & v2_msafree2(A)
        & l1_msualg_1(A)
        & m1_subset_1(B,u1_struct_0(A)) )
     => m1_subset_1(k5_msafree2(A,B),u1_msualg_1(A)) ) ),
    file(msafree2,k5_msafree2),
    []).

fof(dt_k5_msualg_1,axiom,(
    ! [A,B,C] : 
      ( ( ~ v3_struct_0(A)
        & ~ v2_msualg_1(A)
        & l1_msualg_1(A)
        & m1_subset_1(B,u1_msualg_1(A))
        & l3_msualg_1(C,A) )
     => ( v1_funct_1(k5_msualg_1(A,B,C))
        & v1_funct_2(k5_msualg_1(A,B,C),k3_msualg_1(A,B,C),k4_msualg_1(A,B,C))
        & m2_relset_1(k5_msualg_1(A,B,C),k3_msualg_1(A,B,C),k4_msualg_1(A,B,C)) ) ) ),
    file(msualg_1,k5_msualg_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_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_circuit2,axiom,(
    ! [A,B,C] : 
      ( ( ~ v3_struct_0(A)
        & ~ v2_msualg_1(A)
        & v2_msafree2(A)
        & l1_msualg_1(A)
        & v5_msualg_1(B,A)
        & v4_msafree2(B,A)
        & l3_msualg_1(B,A)
        & m1_subset_1(C,k4_card_3(u4_msualg_1(A,B))) )
     => m1_subset_1(k6_circuit2(A,B,C),k4_card_3(u4_msualg_1(A,B))) ) ),
    file(circuit2,k6_circuit2),
    []).

fof(dt_k6_facirc_1,axiom,(
    ! [A,B] : m1_circcomb(k6_facirc_1(A,B),2) ),
    file(facirc_1,k6_facirc_1),
    []).

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

fof(dt_k6_pboole,axiom,(
    ! [A,B] : 
      ( m1_pboole(B,A)
     => m1_pboole(k6_pboole(A,B),k3_finseq_2(A)) ) ),
    file(pboole,k6_pboole),
    []).

fof(dt_k7_circcomb,axiom,(
    ! [A,B] : 
      ( ( v1_relat_1(B)
        & v1_funct_1(B)
        & v1_finseq_1(B) )
     => ( v1_msualg_1(k7_circcomb(A,B))
        & ~ v2_msualg_1(k7_circcomb(A,B))
        & l1_msualg_1(k7_circcomb(A,B)) ) ) ),
    file(circcomb,k7_circcomb),
    []).

fof(dt_k7_pboole,axiom,(
    ! [A,B,C,D] : 
      ( ( ~ v1_xboole_0(B)
        & v1_funct_1(C)
        & v1_funct_2(C,A,B)
        & m1_relset_1(C,A,B)
        & m1_pboole(D,B) )
     => m1_pboole(k7_pboole(A,B,C,D),A) ) ),
    file(pboole,k7_pboole),
    []).

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_l1_msualg_1,axiom,(
    ! [A] : 
      ( l1_msualg_1(A)
     => l1_struct_0(A) ) ),
    file(msualg_1,l1_msualg_1),
    []).

fof(dt_l1_struct_0,axiom,(
    $true ),
    file(struct_0,l1_struct_0),
    []).

fof(dt_l2_msualg_1,axiom,(
    $true ),
    file(msualg_1,l2_msualg_1),
    []).

fof(dt_l3_msualg_1,axiom,(
    ! [A] : 
      ( ( ~ v3_struct_0(A)
        & l1_msualg_1(A) )
     => ! [B] : 
          ( l3_msualg_1(B,A)
         => l2_msualg_1(B,A) ) ) ),
    file(msualg_1,l3_msualg_1),
    []).

fof(dt_m1_circcomb,axiom,(
    ! [A] : 
      ( m1_subset_1(A,k5_numbers)
     => ! [B] : 
          ( m1_circcomb(B,A)
         => ( v1_relat_1(B)
            & v1_funct_1(B)
            & v1_finseq_1(B) ) ) ) ),
    file(circcomb,m1_circcomb),
    []).

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

fof(dt_m1_pboole,axiom,(
    ! [A,B] : 
      ( m1_pboole(B,A)
     => ( v1_relat_1(B)
        & v1_funct_1(B) ) ) ),
    file(pboole,m1_pboole),
    []).

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

fof(dt_m1_struct_0,axiom,(
    ! [A,B] : 
      ( ( ~ v3_struct_0(A)
        & l1_struct_0(A)
        & ~ v1_xboole_0(B)
        & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) )
     => ! [C] : 
          ( m1_struct_0(C,A,B)
         => m1_subset_1(C,u1_struct_0(A)) ) ) ),
    file(struct_0,m1_struct_0),
    []).

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_m3_pboole,axiom,(
    ! [A,B,C] : 
      ( ( m1_pboole(B,A)
        & m1_pboole(C,A) )
     => ! [D] : 
          ( m3_pboole(D,A,B,C)
         => m1_pboole(D,A) ) ) ),
    file(pboole,m3_pboole),
    []).

fof(dt_u1_msualg_1,axiom,(
    $true ),
    file(msualg_1,u1_msualg_1),
    []).

fof(dt_u1_struct_0,axiom,(
    $true ),
    file(struct_0,u1_struct_0),
    []).

fof(dt_u2_msualg_1,axiom,(
    ! [A] : 
      ( l1_msualg_1(A)
     => ( v1_funct_1(u2_msualg_1(A))
        & v1_funct_2(u2_msualg_1(A),u1_msualg_1(A),k3_finseq_2(u1_struct_0(A)))
        & m2_relset_1(u2_msualg_1(A),u1_msualg_1(A),k3_finseq_2(u1_struct_0(A))) ) ) ),
    file(msualg_1,u2_msualg_1),
    []).

fof(dt_u3_msualg_1,axiom,(
    ! [A] : 
      ( l1_msualg_1(A)
     => ( v1_funct_1(u3_msualg_1(A))
        & v1_funct_2(u3_msualg_1(A),u1_msualg_1(A),u1_struct_0(A))
        & m2_relset_1(u3_msualg_1(A),u1_msualg_1(A),u1_struct_0(A)) ) ) ),
    file(msualg_1,u3_msualg_1),
    []).

fof(dt_u4_msualg_1,axiom,(
    ! [A,B] : 
      ( ( l1_struct_0(A)
        & l2_msualg_1(B,A) )
     => m1_pboole(u4_msualg_1(A,B),u1_struct_0(A)) ) ),
    file(msualg_1,u4_msualg_1),
    []).

fof(dt_u5_msualg_1,axiom,(
    ! [A,B] : 
      ( ( ~ v3_struct_0(A)
        & l1_msualg_1(A)
        & l3_msualg_1(B,A) )
     => m3_pboole(u5_msualg_1(A,B),u1_msualg_1(A),k7_pboole(u1_msualg_1(A),k3_finseq_2(u1_struct_0(A)),u2_msualg_1(A),k6_pboole(u1_struct_0(A),u4_msualg_1(A,B))),k7_pboole(u1_msualg_1(A),u1_struct_0(A),u3_msualg_1(A),u4_msualg_1(A,B))) ) ),
    file(msualg_1,u5_msualg_1),
    []).

fof(existence_l1_msualg_1,axiom,(
    ? [A] : l1_msualg_1(A) ),
    file(msualg_1,l1_msualg_1),
    []).

fof(existence_l1_struct_0,axiom,(
    ? [A] : l1_struct_0(A) ),
    file(struct_0,l1_struct_0),
    []).

fof(existence_l2_msualg_1,axiom,(
    ! [A] : 
      ( l1_struct_0(A)
     => ? [B] : l2_msualg_1(B,A) ) ),
    file(msualg_1,l2_msualg_1),
    []).

fof(existence_l3_msualg_1,axiom,(
    ! [A] : 
      ( ( ~ v3_struct_0(A)
        & l1_msualg_1(A) )
     => ? [B] : l3_msualg_1(B,A) ) ),
    file(msualg_1,l3_msualg_1),
    []).

fof(existence_m1_circcomb,axiom,(
    ! [A] : 
      ( m1_subset_1(A,k5_numbers)
     => ? [B] : m1_circcomb(B,A) ) ),
    file(circcomb,m1_circcomb),
    []).

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

fof(existence_m1_pboole,axiom,(
    ! [A] : 
    ? [B] : m1_pboole(B,A) ),
    file(pboole,m1_pboole),
    []).

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

fof(existence_m1_struct_0,axiom,(
    ! [A,B] : 
      ( ( ~ v3_struct_0(A)
        & l1_struct_0(A)
        & ~ v1_xboole_0(B)
        & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) )
     => ? [C] : m1_struct_0(C,A,B) ) ),
    file(struct_0,m1_struct_0),
    []).

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_m3_pboole,axiom,(
    ! [A,B,C] : 
      ( ( m1_pboole(B,A)
        & m1_pboole(C,A) )
     => ? [D] : m3_pboole(D,A,B,C) ) ),
    file(pboole,m3_pboole),
    []).

fof(fc11_circcomb,axiom,(
    ! [A,B,C,D] : 
      ( ( m1_subset_1(A,k5_numbers)
        & ~ v1_xboole_0(B)
        & v1_funct_1(C)
        & v1_funct_2(C,k4_finseq_2(A,B),B)
        & m1_relset_1(C,k4_finseq_2(A,B),B)
        & m1_circcomb(D,A) )
     => ( ~ v3_struct_0(k7_circcomb(C,D))
        & v1_msualg_1(k7_circcomb(C,D))
        & ~ v2_msualg_1(k7_circcomb(C,D))
        & v2_msafree2(k7_circcomb(C,D))
        & v1_circcomb(k7_circcomb(C,D))
        & v2_circcomb(k7_circcomb(C,D))
        & v5_circcomb(k7_circcomb(C,D)) ) ) ),
    file(circcomb,fc11_circcomb),
    []).

fof(fc12_circcomb,axiom,(
    ! [A,B,C] : 
      ( ( m1_subset_1(A,k5_numbers)
        & v1_funct_1(B)
        & v1_funct_2(B,k4_finseq_2(A,k6_margrel1),k6_margrel1)
        & m1_relset_1(B,k4_finseq_2(A,k6_margrel1),k6_margrel1)
        & m1_circcomb(C,A) )
     => ( ~ v3_struct_0(k7_circcomb(B,C))
        & v1_msualg_1(k7_circcomb(B,C))
        & ~ v2_msualg_1(k7_circcomb(B,C))
        & v2_msafree2(k7_circcomb(B,C))
        & v1_circcomb(k7_circcomb(B,C))
        & v2_circcomb(k7_circcomb(B,C))
        & v3_circcomb(k7_circcomb(B,C))
        & v5_circcomb(k7_circcomb(B,C)) ) ) ),
    file(circcomb,fc12_circcomb),
    []).

fof(fc13_circcomb,axiom,(
    ! [A,B] : 
      ( ( ~ v3_struct_0(A)
        & v3_circcomb(A)
        & l1_msualg_1(A)
        & ~ v3_struct_0(B)
        & v3_circcomb(B)
        & l1_msualg_1(B) )
     => ( ~ v3_struct_0(k3_circcomb(A,B))
        & v1_msualg_1(k3_circcomb(A,B))
        & v3_circcomb(k3_circcomb(A,B))
        & v5_circcomb(k3_circcomb(A,B)) ) ) ),
    file(circcomb,fc13_circcomb),
    []).

fof(fc13_facirc_1,axiom,(
    ! [A,B] : 
      ( ( ~ v1_facirc_1(A)
        & ~ v1_facirc_1(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))
        & v3_facirc_1(k10_finseq_1(A,B)) ) ) ),
    file(facirc_1,fc13_facirc_1),
    []).

fof(fc15_circcomb,axiom,(
    ! [A,B,C,D] : 
      ( ( ~ v3_struct_0(A)
        & ~ v2_msualg_1(A)
        & v1_circcomb(A)
        & v3_circcomb(A)
        & l1_msualg_1(A)
        & ~ v3_struct_0(B)
        & ~ v2_msualg_1(B)
        & v1_circcomb(B)
        & v3_circcomb(B)
        & l1_msualg_1(B)
        & v4_msafree2(C,A)
        & v4_circcomb(C,A)
        & v6_circcomb(C,A)
        & l3_msualg_1(C,A)
        & v4_msafree2(D,B)
        & v4_circcomb(D,B)
        & v6_circcomb(D,B)
        & l3_msualg_1(D,B) )
     => ( v4_msualg_1(k4_circcomb(A,B,C,D),k3_circcomb(A,B))
        & v5_msualg_1(k4_circcomb(A,B,C,D),k3_circcomb(A,B))
        & v3_msafree2(k4_circcomb(A,B,C,D),k3_circcomb(A,B))
        & v4_msafree2(k4_circcomb(A,B,C,D),k3_circcomb(A,B))
        & v4_circcomb(k4_circcomb(A,B,C,D),k3_circcomb(A,B))
        & v6_circcomb(k4_circcomb(A,B,C,D),k3_circcomb(A,B)) ) ) ),
    file(circcomb,fc15_circcomb),
    []).

fof(fc15_facirc_1,axiom,(
    ! [A] : 
      ( ( v1_relat_1(A)
        & v1_funct_1(A)
        & v3_facirc_1(A) )
     => ~ v2_facirc_1(k2_relat_1(A)) ) ),
    file(facirc_1,fc15_facirc_1),
    []).

fof(fc1_facirc_1,axiom,(
    ! [A,B] : 
      ( ~ v1_xboole_0(k4_tarski(A,B))
      & v1_facirc_1(k4_tarski(A,B)) ) ),
    file(facirc_1,fc1_facirc_1),
    []).

fof(fc3_card_3,axiom,(
    ! [A] : 
      ( ( v1_relat_1(A)
        & v1_funct_1(A) )
     => v1_fraenkel(k4_card_3(A)) ) ),
    file(card_3,fc3_card_3),
    []).

fof(fc3_circcomb,axiom,(
    ! [A,B] : 
      ( ( ~ v3_struct_0(A)
        & ~ v2_msualg_1(A)
        & l1_msualg_1(A)
        & ~ v3_struct_0(B)
        & l1_msualg_1(B) )
     => ( ~ v3_struct_0(k3_circcomb(A,B))
        & v1_msualg_1(k3_circcomb(A,B))
        & ~ v2_msualg_1(k3_circcomb(A,B)) ) ) ),
    file(circcomb,fc3_circcomb),
    []).

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

fof(fc4_circcomb,axiom,(
    ! [A,B] : 
      ( ( ~ v3_struct_0(A)
        & ~ v2_msualg_1(A)
        & l1_msualg_1(A)
        & ~ v3_struct_0(B)
        & l1_msualg_1(B) )
     => ( ~ v3_struct_0(k3_circcomb(B,A))
        & v1_msualg_1(k3_circcomb(B,A))
        & ~ v2_msualg_1(k3_circcomb(B,A)) ) ) ),
    file(circcomb,fc4_circcomb),
    []).

fof(fc6_circcomb,axiom,(
    ! [A,B] : 
      ( ( v1_relat_1(B)
        & v1_funct_1(B)
        & v1_finseq_1(B) )
     => ( ~ v3_struct_0(k7_circcomb(A,B))
        & v1_msualg_1(k7_circcomb(A,B))
        & ~ v2_msualg_1(k7_circcomb(A,B)) ) ) ),
    file(circcomb,fc6_circcomb),
    []).

fof(fc7_circcomb,axiom,(
    ! [A,B] : 
      ( ( v1_relat_1(B)
        & v1_funct_1(B)
        & v1_finseq_1(B) )
     => ( ~ v3_struct_0(k7_circcomb(A,B))
        & v1_msualg_1(k7_circcomb(A,B))
        & ~ v2_msualg_1(k7_circcomb(A,B))
        & v2_msafree2(k7_circcomb(A,B))
        & v1_circcomb(k7_circcomb(A,B))
        & v2_circcomb(k7_circcomb(A,B)) ) ) ),
    file(circcomb,fc7_circcomb),
    []).

fof(fc8_circcomb,axiom,(
    ! [A,B] : 
      ( ( ~ v3_struct_0(A)
        & v1_circcomb(A)
        & l1_msualg_1(A)
        & ~ v3_struct_0(B)
        & v1_circcomb(B)
        & l1_msualg_1(B) )
     => ( ~ v3_struct_0(k3_circcomb(A,B))
        & v1_msualg_1(k3_circcomb(A,B))
        & v2_msafree2(k3_circcomb(A,B))
        & v1_circcomb(k3_circcomb(A,B)) ) ) ),
    file(circcomb,fc8_circcomb),
    []).

fof(fc9_circcomb,axiom,(
    ! [A,B] : 
      ( ( ~ v3_struct_0(A)
        & v2_circcomb(A)
        & l1_msualg_1(A)
        & ~ v3_struct_0(B)
        & v2_circcomb(B)
        & l1_msualg_1(B) )
     => ( ~ v3_struct_0(k3_circcomb(A,B))
        & v1_msualg_1(k3_circcomb(A,B))
        & v2_circcomb(k3_circcomb(A,B)) ) ) ),
    file(circcomb,fc9_circcomb),
    []).

fof(free_g1_msualg_1,axiom,(
    ! [A,B,C,D] : 
      ( ( v1_funct_1(C)
        & v1_funct_2(C,B,k3_finseq_2(A))
        & m1_relset_1(C,B,k3_finseq_2(A))
        & v1_funct_1(D)
        & v1_funct_2(D,B,A)
        & m1_relset_1(D,B,A) )
     => ! [E,F,G,H] : 
          ( g1_msualg_1(A,B,C,D) = g1_msualg_1(E,F,G,H)
         => ( A = E
            & B = F
            & C = G
            & D = H ) ) ) ),
    file(msualg_1,g1_msualg_1),
    []).

fof(free_g3_msualg_1,axiom,(
    ! [A,B,C] : 
      ( ( ~ v3_struct_0(A)
        & l1_msualg_1(A)
        & m1_pboole(B,u1_struct_0(A))
        & m3_pboole(C,u1_msualg_1(A),k7_pboole(u1_msualg_1(A),k3_finseq_2(u1_struct_0(A)),u2_msualg_1(A),k6_pboole(u1_struct_0(A),B)),k7_pboole(u1_msualg_1(A),u1_struct_0(A),u3_msualg_1(A),B)) )
     => ! [D,E,F] : 
          ( g3_msualg_1(A,B,C) = g3_msualg_1(D,E,F)
         => ( A = D
            & B = E
            & C = F ) ) ) ),
    file(msualg_1,g3_msualg_1),
    []).

fof(rc1_circcomb,axiom,(
    ? [A] : 
      ( v1_relat_1(A)
      & v1_funct_1(A)
      & v2_funct_1(A) ) ),
    file(circcomb,rc1_circcomb),
    []).

fof(rc1_facirc_1,axiom,(
    ? [A] : 
      ( ~ v1_xboole_0(A)
      & v1_facirc_1(A) ) ),
    file(facirc_1,rc1_facirc_1),
    []).

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

fof(rc2_circcomb,axiom,(
    ? [A] : 
      ( l1_msualg_1(A)
      & ~ v3_struct_0(A)
      & v1_msualg_1(A)
      & ~ v2_msualg_1(A)
      & v2_msafree2(A)
      & v1_circcomb(A)
      & v2_circcomb(A) ) ),
    file(circcomb,rc2_circcomb),
    []).

fof(rc2_facirc_1,axiom,(
    ? [A] : ~ v1_facirc_1(A) ),
    file(facirc_1,rc2_facirc_1),
    []).

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

fof(rc3_circcomb,axiom,(
    ? [A] : 
      ( l1_msualg_1(A)
      & ~ v3_struct_0(A)
      & v3_circcomb(A)
      & v5_circcomb(A) ) ),
    file(circcomb,rc3_circcomb),
    []).

fof(rc3_facirc_1,axiom,(
    ? [A] : 
      ( ~ v1_xboole_0(A)
      & ~ v2_facirc_1(A) ) ),
    file(facirc_1,rc3_facirc_1),
    []).

fof(rc4_circcomb,axiom,(
    ! [A] : 
      ( ( ~ v3_struct_0(A)
        & l1_msualg_1(A) )
     => ? [B] : 
          ( l3_msualg_1(B,A)
          & v4_msualg_1(B,A)
          & v5_msualg_1(B,A)
          & v3_msafree2(B,A)
          & v4_msafree2(B,A)
          & v6_circcomb(B,A) ) ) ),
    file(circcomb,rc4_circcomb),
    []).

fof(rc4_facirc_1,axiom,(
    ! [A] : 
      ( m1_subset_1(A,k5_numbers)
     => ? [B] : 
          ( m1_circcomb(B,A)
          & v1_relat_1(B)
          & v1_funct_1(B)
          & v2_funct_1(B)
          & v1_finset_1(B)
          & v1_finseq_1(B)
          & v3_facirc_1(B) ) ) ),
    file(facirc_1,rc4_facirc_1),
    []).

fof(rc5_circcomb,axiom,(
    ? [A] : 
      ( l1_msualg_1(A)
      & ~ v3_struct_0(A)
      & v1_msualg_1(A)
      & ~ v2_msualg_1(A)
      & v2_msafree2(A)
      & v1_circcomb(A)
      & v2_circcomb(A)
      & v3_circcomb(A)
      & v5_circcomb(A) ) ),
    file(circcomb,rc5_circcomb),
    []).

fof(rc5_facirc_1,axiom,(
    ? [A] : 
      ( v1_relat_1(A)
      & v1_funct_1(A)
      & v2_funct_1(A)
      & v1_finset_1(A)
      & v1_finseq_1(A)
      & v3_facirc_1(A) ) ),
    file(facirc_1,rc5_facirc_1),
    []).

fof(rc6_circcomb,axiom,(
    ! [A] : 
      ( ( ~ v3_struct_0(A)
        & v3_circcomb(A)
        & l1_msualg_1(A) )
     => ? [B] : 
          ( l3_msualg_1(B,A)
          & v4_msualg_1(B,A)
          & v5_msualg_1(B,A)
          & v3_msafree2(B,A)
          & v4_msafree2(B,A)
          & v4_circcomb(B,A)
          & v6_circcomb(B,A) ) ) ),
    file(circcomb,rc6_circcomb),
    []).

fof(rc7_circcomb,axiom,(
    ! [A,B,C,D] : 
      ( ( m1_subset_1(A,k5_numbers)
        & ~ v1_xboole_0(B)
        & v1_finset_1(B)
        & v1_funct_1(C)
        & v1_funct_2(C,k4_finseq_2(A,B),B)
        & m1_relset_1(C,k4_finseq_2(A,B),B)
        & m1_circcomb(D,A) )
     => ? [E] : 
          ( l3_msualg_1(E,k7_circcomb(C,D))
          & v4_msualg_1(E,k7_circcomb(C,D))
          & v5_msualg_1(E,k7_circcomb(C,D))
          & v3_msafree2(E,k7_circcomb(C,D))
          & v4_msafree2(E,k7_circcomb(C,D))
          & v4_circcomb(E,k7_circcomb(C,D)) ) ) ),
    file(circcomb,rc7_circcomb),
    []).

fof(redefinition_k10_circcomb,axiom,(
    k10_circcomb = k6_margrel1 ),
    file(circcomb,k10_circcomb),
    []).

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

fof(redefinition_k4_msafree2,axiom,(
    ! [A] : 
      ( ( ~ v3_struct_0(A)
        & ~ v2_msualg_1(A)
        & l1_msualg_1(A) )
     => k4_msafree2(A) = k3_msafree2(A) ) ),
    file(msafree2,k4_msafree2),
    []).

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

fof(redefinition_k6_facirc_1,axiom,(
    ! [A,B] : k6_facirc_1(A,B) = k10_finseq_1(A,B) ),
    file(facirc_1,k6_facirc_1),
    []).

fof(redefinition_k7_pboole,axiom,(
    ! [A,B,C,D] : 
      ( ( ~ v1_xboole_0(B)
        & v1_funct_1(C)
        & v1_funct_2(C,A,B)
        & m1_relset_1(C,A,B)
        & m1_pboole(D,B) )
     => k7_pboole(A,B,C,D) = k5_relat_1(C,D) ) ),
    file(pboole,k7_pboole),
    []).

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_m1_struct_0,axiom,(
    ! [A,B] : 
      ( ( ~ v3_struct_0(A)
        & l1_struct_0(A)
        & ~ v1_xboole_0(B)
        & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) )
     => ! [C] : 
          ( m1_struct_0(C,A,B)
        <=> m1_subset_1(C,B) ) ) ),
    file(struct_0,m1_struct_0),
    []).

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

fof(t145_finseq_2,axiom,(
    ! [A] : 
      ( ( v1_relat_1(A)
        & v1_funct_1(A) )
     => ! [B,C] : 
          ( ( r2_hidden(B,k1_relat_1(A))
            & r2_hidden(C,k1_relat_1(A)) )
         => k5_relat_1(k10_finseq_1(B,C),A) = k10_finseq_1(k1_funct_1(A,B),k1_funct_1(A,C)) ) ) ),
    file(finseq_2,t145_finseq_2),
    []).

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(t35_facirc_1,axiom,(
    ! [A] : 
      ( ( ~ v3_struct_0(A)
        & ~ v2_msualg_1(A)
        & v1_circcomb(A)
        & v2_circcomb(A)
        & v3_circcomb(A)
        & l1_msualg_1(A) )
     => ! [B] : 
          ( ( v5_msualg_1(B,A)
            & v4_msafree2(B,A)
            & v4_circcomb(B,A)
            & v6_circcomb(B,A)
            & l3_msualg_1(B,A) )
         => ! [C] : 
              ( m1_subset_1(C,k4_card_3(u4_msualg_1(A,B)))
             => ! [D] : 
                  ( ( v1_relat_1(D)
                    & v1_funct_1(D)
                    & v1_finseq_1(D) )
                 => ! [E] : 
                      ( ( v1_relat_1(E)
                        & v1_funct_1(E) )
                     => ( r2_hidden(k4_tarski(D,E),u1_msualg_1(A))
                       => k1_funct_1(k6_circuit2(A,B,C),k4_tarski(D,E)) = k1_funct_1(E,k5_relat_1(D,C)) ) ) ) ) ) ) ),
    file(facirc_1,t35_facirc_1),
    []).

fof(t37_facirc_1,axiom,(
    ! [A] : 
      ( ( ~ v3_struct_0(A)
        & v1_circcomb(A)
        & l1_msualg_1(A) )
     => k3_msafree2(A) = u1_msualg_1(A) ) ),
    file(facirc_1,t37_facirc_1),
    []).

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

fof(t47_twoscomp,axiom,(
    ! [A] : 
      ( ~ v1_facirc_1(A)
     => ! [B] : 
          ( ~ v1_facirc_1(B)
         => ( r2_hidden(A,u1_struct_0(k40_twoscomp(A,B)))
            & r2_hidden(B,u1_struct_0(k40_twoscomp(A,B)))
            & r2_hidden(k4_tarski(k6_facirc_1(A,B),k15_twoscomp),u1_struct_0(k40_twoscomp(A,B)))
            & r2_hidden(k4_tarski(k6_facirc_1(A,B),k3_twoscomp),u1_struct_0(k40_twoscomp(A,B))) ) ) ) ),
    file(twoscomp,t47_twoscomp),
    []).

fof(t4_circuit1,axiom,(
    ! [A] : 
      ( ( ~ v3_struct_0(A)
        & ~ v2_msualg_1(A)
        & v2_msafree2(A)
        & l1_msualg_1(A) )
     => ! [B] : 
          ( ( v5_msualg_1(B,A)
            & v4_msafree2(B,A)
            & l3_msualg_1(B,A) )
         => ! [C] : 
              ( m1_subset_1(C,k4_card_3(u4_msualg_1(A,B)))
             => k1_relat_1(C) = u1_struct_0(A) ) ) ) ),
    file(circuit1,t4_circuit1),
    []).

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(t50_twoscomp,axiom,(
    ! [A] : 
      ( ~ v1_facirc_1(A)
     => ! [B] : 
          ( ~ v1_facirc_1(B)
         => ( r2_hidden(k4_tarski(k6_facirc_1(A,B),k15_twoscomp),k4_msafree2(k40_twoscomp(A,B)))
            & r2_hidden(k4_tarski(k6_facirc_1(A,B),k3_twoscomp),k4_msafree2(k40_twoscomp(A,B))) ) ) ) ),
    file(twoscomp,t50_twoscomp),
    []).

fof(t52_twoscomp,axiom,(
    ! [A] : 
      ( ~ v1_facirc_1(A)
     => ! [B] : 
          ( ~ v1_facirc_1(B)
         => ( r2_hidden(A,k2_msafree2(k40_twoscomp(A,B)))
            & r2_hidden(B,k2_msafree2(k40_twoscomp(A,B))) ) ) ) ),
    file(twoscomp,t52_twoscomp),
    []).

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),
    []).