% Mizar problem: t27_equation,equation,818,52 
fof(t27_equation,conjecture,(
    ! [A] : 
      ( ( ~ v3_struct_0(A)
        & ~ v2_msualg_1(A)
        & l1_msualg_1(A) )
     => ! [B] : 
          ( ( ~ v1_xboole_0(B)
            & v1_finset_1(B) )
         => ! [C] : 
              ( ( v5_msualg_1(C,A)
                & l3_msualg_1(C,A) )
             => ! [D] : 
                  ( m2_pralg_2(D,B,A)
                 => ~ ( ! [E] : 
                          ( m1_subset_1(E,B)
                         => ? [F] : 
                              ( v4_msualg_1(F,A)
                              & v5_msualg_1(F,A)
                              & v3_msafree2(F,A)
                              & m1_msualg_2(F,A,C)
                              & F = k6_pralg_2(B,A,D,E) ) )
                      & ! [E] : 
                          ( ( v4_msualg_1(E,A)
                            & v5_msualg_1(E,A)
                            & v3_msafree2(E,A)
                            & m1_msualg_2(E,A,C) )
                         => ~ ! [F] : 
                                ( m1_subset_1(F,B)
                               => m1_msualg_2(k6_pralg_2(B,A,D,F),A,E) ) ) ) ) ) ) ) ),
    inference(mizar_bg_added,[status(thm)],[abstractness_v4_msualg_1,antisymmetry_r2_hidden,cc1_closure2,cc1_finseq_1,cc1_finset_1,cc1_funct_1,cc1_msualg_1,cc1_msualg_6,cc1_pboole,cc1_relset_1,cc2_closure2,cc2_finset_1,cc2_funct_1,cc2_msualg_1,cc2_pboole,cc3_closure2,cc3_pboole,cc4_closure2,cc5_closure2,cc6_closure2,cc7_closure2,d10_msafree2,d10_msualg_2,d10_xboole_0,d16_pboole,d1_closure2,d1_funct_2,d1_xboole_0,d20_msualg_2,d23_pboole,d3_pre_circ,d3_tarski,d4_tarski,d5_funct_1,d5_pboole,dt_g3_msualg_1,dt_k12_msualg_2,dt_k13_finseq_1,dt_k14_msualg_2,dt_k1_closure2,dt_k1_funct_1,dt_k1_relat_1,dt_k1_xboole_0,dt_k1_zfmisc_1,dt_k2_relat_1,dt_k2_zfmisc_1,dt_k3_finseq_2,dt_k3_tarski,dt_k4_msualg_2,dt_k4_relset_1,dt_k5_relat_1,dt_k6_closure2,dt_k6_pboole,dt_k6_pralg_2,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_closure2,dt_m1_finseq_2,dt_m1_msafree,dt_m1_msualg_2,dt_m1_pboole,dt_m1_relset_1,dt_m1_subset_1,dt_m2_pralg_2,dt_m2_relset_1,dt_m3_pboole,dt_m4_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_closure2,existence_m1_finseq_2,existence_m1_msafree,existence_m1_msualg_2,existence_m1_pboole,existence_m1_relset_1,existence_m1_subset_1,existence_m2_pralg_2,existence_m2_relset_1,existence_m3_pboole,existence_m4_pboole,fc10_msualg_2,fc11_finseq_1,fc11_msualg_2,fc14_finset_1,fc16_finseq_1,fc17_finseq_1,fc1_funct_1,fc1_msualg_1,fc1_pboole,fc1_struct_0,fc1_subset_1,fc2_closure2,fc2_equation,fc2_finseq_1,fc2_pboole,fc3_msafree,fc4_subset_1,fc6_funct_1,fc6_msualg_2,fc7_funcop_1,fc8_funcop_1,fc9_finseq_1,fraenkel_a_4_0_equation,fraenkel_a_7_0_equation,free_g3_msualg_1,rc1_closure2,rc1_extens_1,rc1_finseq_1,rc1_finset_1,rc1_funcop_1,rc1_funct_1,rc1_msualg_6,rc1_msualg_9,rc1_pboole,rc1_pralg_2,rc1_subset_1,rc2_closure2,rc2_equation,rc2_funct_1,rc2_msualg_2,rc2_msualg_9,rc2_pboole,rc2_subset_1,rc3_closure2,rc3_equation,rc3_finseq_1,rc3_finset_1,rc3_funct_1,rc3_msualg_2,rc3_pboole,rc3_struct_0,rc4_closure2,rc4_finset_1,rc4_funct_1,rc4_pboole,rc5_funct_1,rc5_msualg_1,rc5_pboole,rc5_struct_0,rc6_finseq_1,rc6_msualg_1,rc7_finseq_1,rc8_finseq_1,redefinition_k3_finseq_2,redefinition_k4_relset_1,redefinition_k6_closure2,redefinition_k6_pralg_2,redefinition_k7_pboole,redefinition_k8_funct_2,redefinition_m1_closure2,redefinition_m2_relset_1,redefinition_r6_pboole,reflexivity_r1_tarski,reflexivity_r2_pboole,reflexivity_r6_pboole,s3_funct_2__e4_32_5_1__equation,s3_funct_2__e9_32__equation,s4_pboole__e11_32__equation,symmetry_r6_pboole,t12_relset_1,t15_pboole,t1_subset,t1_xboole_1,t20_finseq_1,t21_extens_1,t21_msscyc_1,t22_extens_1,t25_finset_1,t25_funct_1,t2_subset,t2_tarski,t3_msafree,t3_subset,t47_relat_1,t4_subset,t5_subset,t6_boole,t73_finseq_1,t7_boole,t7_funct_2,t8_boole,t8_msualg_9]),
    [file(equation,t27_equation)]).

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_closure2,axiom,(
    ! [A] : 
      ( v1_xboole_0(A)
     => v1_fraenkel(A) ) ),
    file(closure2,cc1_closure2),
    []).

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_finset_1,axiom,(
    ! [A] : 
      ( v1_xboole_0(A)
     => v1_finset_1(A) ) ),
    file(finset_1,cc1_finset_1),
    []).

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

fof(cc1_msualg_1,axiom,(
    ! [A,B] : 
      ( ( ~ v3_struct_0(A)
        & l1_msualg_1(A)
        & v5_msualg_1(B,A)
        & l3_msualg_1(B,A) )
     => ! [C] : 
          ( m1_subset_1(C,k2_relat_1(u4_msualg_1(A,B)))
         => ~ v1_xboole_0(C) ) ) ),
    file(msualg_1,cc1_msualg_1),
    []).

fof(cc1_msualg_6,axiom,(
    ! [A] : 
      ( ( ~ v3_struct_0(A)
        & ~ v2_msualg_1(A)
        & l1_msualg_1(A) )
     => ! [B] : 
          ( l3_msualg_1(B,A)
         => ( v5_msualg_1(B,A)
           => v1_msualg_6(B,A) ) ) ) ),
    file(msualg_6,cc1_msualg_6),
    []).

fof(cc1_pboole,axiom,(
    ! [A] : 
      ( ~ v1_xboole_0(A)
     => ! [B] : 
          ( m1_pboole(B,A)
         => ( v2_relat_1(B)
           => ~ v3_relat_1(B) ) ) ) ),
    file(pboole,cc1_pboole),
    []).

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_closure2,axiom,(
    ! [A,B] : 
      ( m1_pboole(B,A)
     => ! [C] : 
          ( m1_subset_1(C,k1_zfmisc_1(k1_closure2(A,B)))
         => ( v2_closure2(C,A,B)
           => ( v1_fraenkel(C)
              & v1_closure2(C,A,B) ) ) ) ) ),
    file(closure2,cc2_closure2),
    []).

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

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_msualg_1,axiom,(
    ! [A,B] : 
      ( ( ~ v3_struct_0(A)
        & l1_msualg_1(A)
        & v5_msualg_1(B,A)
        & l3_msualg_1(B,A) )
     => ! [C] : 
          ( m1_subset_1(C,k2_relat_1(k6_pboole(u1_struct_0(A),u4_msualg_1(A,B))))
         => ~ v1_xboole_0(C) ) ) ),
    file(msualg_1,cc2_msualg_1),
    []).

fof(cc2_pboole,axiom,(
    ! [A] : 
      ( ~ v1_xboole_0(A)
     => ! [B] : 
          ( m1_pboole(B,A)
         => ( v3_relat_1(B)
           => ~ v2_relat_1(B) ) ) ) ),
    file(pboole,cc2_pboole),
    []).

fof(cc3_closure2,axiom,(
    ! [A,B] : 
      ( m1_pboole(B,A)
     => ! [C] : 
          ( m1_subset_1(C,k1_zfmisc_1(k1_closure2(A,B)))
         => ( v4_closure2(C,A,B)
           => ( v1_fraenkel(C)
              & v3_closure2(C,A,B) ) ) ) ) ),
    file(closure2,cc3_closure2),
    []).

fof(cc3_pboole,axiom,(
    ! [A,B,C] : 
      ( ( m1_pboole(B,A)
        & m1_pboole(C,A) )
     => ! [D] : 
          ( m3_pboole(D,A,B,C)
         => v1_funcop_1(D) ) ) ),
    file(pboole,cc3_pboole),
    []).

fof(cc4_closure2,axiom,(
    ! [A,B] : 
      ( m1_pboole(B,A)
     => ! [C] : 
          ( m1_subset_1(C,k1_zfmisc_1(k1_closure2(A,B)))
         => ( v4_closure2(C,A,B)
           => ( v1_fraenkel(C)
              & v5_closure2(C,A,B) ) ) ) ) ),
    file(closure2,cc4_closure2),
    []).

fof(cc5_closure2,axiom,(
    ! [A,B] : 
      ( m1_pboole(B,A)
     => ! [C] : 
          ( m1_subset_1(C,k1_zfmisc_1(k1_closure2(A,B)))
         => ( v5_closure2(C,A,B)
           => ( ~ v1_xboole_0(C)
              & v1_fraenkel(C) ) ) ) ) ),
    file(closure2,cc5_closure2),
    []).

fof(cc6_closure2,axiom,(
    ! [A,B] : 
      ( m1_pboole(B,A)
     => ! [C] : 
          ( m1_subset_1(C,k1_zfmisc_1(k1_closure2(A,B)))
         => ( v2_closure2(C,A,B)
           => ( v1_fraenkel(C)
              & v6_closure2(C,A,B) ) ) ) ) ),
    file(closure2,cc6_closure2),
    []).

fof(cc7_closure2,axiom,(
    ! [A,B] : 
      ( m1_pboole(B,A)
     => ! [C] : 
          ( m1_subset_1(C,k1_zfmisc_1(k1_closure2(A,B)))
         => ( v6_closure2(C,A,B)
           => ( ~ v1_xboole_0(C)
              & v1_fraenkel(C) ) ) ) ) ),
    file(closure2,cc7_closure2),
    []).

fof(d10_msafree2,axiom,(
    ! [A] : 
      ( ( ~ v3_struct_0(A)
        & l1_msualg_1(A) )
     => ! [B] : 
          ( l3_msualg_1(B,A)
         => ( ( ~ v2_msualg_1(A)
             => ( v3_msafree2(B,A)
              <=> ! [C] : 
                    ( ( ~ v3_struct_0(C)
                      & ~ v2_msualg_1(C)
                      & l1_msualg_1(C) )
                   => ( C = A
                     => ! [D] : 
                          ( l3_msualg_1(D,C)
                         => ~ ( D = B
                              & ! [E] : 
                                  ( m1_msafree(E,C,D)
                                 => ~ v1_pre_circ(E,u1_struct_0(C)) ) ) ) ) ) ) )
            & ( v2_msualg_1(A)
             => ( v3_msafree2(B,A)
              <=> v1_pre_circ(u4_msualg_1(A,B),u1_struct_0(A)) ) ) ) ) ) ),
    file(msafree2,d10_msafree2),
    []).

fof(d10_msualg_2,axiom,(
    ! [A] : 
      ( ( ~ v3_struct_0(A)
        & ~ v2_msualg_1(A)
        & l1_msualg_1(A) )
     => ! [B] : 
          ( l3_msualg_1(B,A)
         => ! [C] : 
              ( l3_msualg_1(C,A)
             => ( m1_msualg_2(C,A,B)
              <=> ( m4_pboole(u4_msualg_1(A,C),u1_struct_0(A),u4_msualg_1(A,B))
                  & ! [D] : 
                      ( m4_pboole(D,u1_struct_0(A),u4_msualg_1(A,B))
                     => ( r6_pboole(u1_struct_0(A),D,u4_msualg_1(A,C))
                       => ( v3_msualg_2(D,A,B)
                          & r6_pboole(u1_msualg_1(A),u5_msualg_1(A,C),k4_msualg_2(A,B,D)) ) ) ) ) ) ) ) ) ),
    file(msualg_2,d10_msualg_2),
    []).

fof(d10_xboole_0,axiom,(
    ! [A,B] : 
      ( A = B
    <=> ( r1_tarski(A,B)
        & r1_tarski(B,A) ) ) ),
    file(xboole_0,d10_xboole_0),
    []).

fof(d16_pboole,axiom,(
    ! [A,B] : 
      ( m1_pboole(B,A)
     => ( v2_relat_1(B)
      <=> ! [C] : ~ ( r2_hidden(C,A)
            & v1_xboole_0(k1_funct_1(B,C)) ) ) ) ),
    file(pboole,d16_pboole),
    []).

fof(d1_closure2,axiom,(
    ! [A,B] : 
      ( m1_pboole(B,A)
     => ! [C] : 
          ( C = k1_closure2(A,B)
        <=> ! [D] : 
              ( r2_hidden(D,C)
            <=> m4_pboole(D,A,B) ) ) ) ),
    file(closure2,d1_closure2),
    []).

fof(d1_funct_2,axiom,(
    ! [A,B,C] : 
      ( m2_relset_1(C,A,B)
     => ( ( ( B = k1_xboole_0
           => A = k1_xboole_0 )
         => ( v1_funct_2(C,A,B)
          <=> A = k4_relset_1(A,B,C) ) )
        & ( B = k1_xboole_0
         => ( A = k1_xboole_0
            | ( v1_funct_2(C,A,B)
            <=> C = k1_xboole_0 ) ) ) ) ) ),
    file(funct_2,d1_funct_2),
    []).

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

fof(d20_msualg_2,axiom,(
    ! [A] : 
      ( ( ~ v3_struct_0(A)
        & ~ v2_msualg_1(A)
        & l1_msualg_1(A) )
     => ! [B] : 
          ( l3_msualg_1(B,A)
         => ! [C] : 
              ( C = k14_msualg_2(A,B)
            <=> ! [D] : 
                  ( r2_hidden(D,C)
                <=> ( v4_msualg_1(D,A)
                    & m1_msualg_2(D,A,B) ) ) ) ) ) ),
    file(msualg_2,d20_msualg_2),
    []).

fof(d23_pboole,axiom,(
    ! [A,B] : 
      ( m1_pboole(B,A)
     => ! [C] : 
          ( m1_pboole(C,A)
         => ( m4_pboole(C,A,B)
          <=> r2_pboole(A,C,B) ) ) ) ),
    file(pboole,d23_pboole),
    []).

fof(d3_pre_circ,axiom,(
    ! [A,B] : 
      ( m1_pboole(B,A)
     => ( v1_pre_circ(B,A)
      <=> ! [C] : 
            ( r2_hidden(C,A)
           => v1_finset_1(k1_funct_1(B,C)) ) ) ) ),
    file(pre_circ,d3_pre_circ),
    []).

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

fof(d4_tarski,axiom,(
    ! [A,B] : 
      ( B = k3_tarski(A)
    <=> ! [C] : 
          ( r2_hidden(C,B)
        <=> ? [D] : 
              ( r2_hidden(C,D)
              & r2_hidden(D,A) ) ) ) ),
    file(tarski,d4_tarski),
    []).

fof(d5_funct_1,axiom,(
    ! [A] : 
      ( ( v1_relat_1(A)
        & v1_funct_1(A) )
     => ! [B] : 
          ( B = k2_relat_1(A)
        <=> ! [C] : 
              ( r2_hidden(C,B)
            <=> ? [D] : 
                  ( r2_hidden(D,k1_relat_1(A))
                  & C = k1_funct_1(A,D) ) ) ) ) ),
    file(funct_1,d5_funct_1),
    []).

fof(d5_pboole,axiom,(
    ! [A,B] : 
      ( m1_pboole(B,A)
     => ! [C] : 
          ( m1_pboole(C,A)
         => ( r2_pboole(A,B,C)
          <=> ! [D] : 
                ( r2_hidden(D,A)
               => r1_tarski(k1_funct_1(B,D),k1_funct_1(C,D)) ) ) ) ) ),
    file(pboole,d5_pboole),
    []).

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_k12_msualg_2,axiom,(
    ! [A,B,C] : 
      ( ( ~ v3_struct_0(A)
        & ~ v2_msualg_1(A)
        & l1_msualg_1(A)
        & l3_msualg_1(B,A)
        & m4_pboole(C,u1_struct_0(A),u4_msualg_1(A,B)) )
     => ( v4_msualg_1(k12_msualg_2(A,B,C),A)
        & m1_msualg_2(k12_msualg_2(A,B,C),A,B) ) ) ),
    file(msualg_2,k12_msualg_2),
    []).

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

fof(dt_k14_msualg_2,axiom,(
    $true ),
    file(msualg_2,k14_msualg_2),
    []).

fof(dt_k1_closure2,axiom,(
    $true ),
    file(closure2,k1_closure2),
    []).

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

fof(dt_k1_relat_1,axiom,(
    $true ),
    file(relat_1,k1_relat_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_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_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_tarski,axiom,(
    $true ),
    file(tarski,k3_tarski),
    []).

fof(dt_k4_msualg_2,axiom,(
    ! [A,B,C] : 
      ( ( ~ v3_struct_0(A)
        & ~ v2_msualg_1(A)
        & l1_msualg_1(A)
        & l3_msualg_1(B,A)
        & m4_pboole(C,u1_struct_0(A),u4_msualg_1(A,B)) )
     => m3_pboole(k4_msualg_2(A,B,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),C)),k7_pboole(u1_msualg_1(A),u1_struct_0(A),u3_msualg_1(A),C)) ) ),
    file(msualg_2,k4_msualg_2),
    []).

fof(dt_k4_relset_1,axiom,(
    ! [A,B,C] : 
      ( m1_relset_1(C,A,B)
     => m1_subset_1(k4_relset_1(A,B,C),k1_zfmisc_1(A)) ) ),
    file(relset_1,k4_relset_1),
    []).

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_closure2,axiom,(
    ! [A,B] : 
      ( m1_pboole(B,A)
     => ( v1_closure2(k6_closure2(A,B),A,B)
        & v2_closure2(k6_closure2(A,B),A,B)
        & v3_closure2(k6_closure2(A,B),A,B)
        & v4_closure2(k6_closure2(A,B),A,B)
        & v5_closure2(k6_closure2(A,B),A,B)
        & v6_closure2(k6_closure2(A,B),A,B)
        & m1_subset_1(k6_closure2(A,B),k1_zfmisc_1(k1_closure2(A,B))) ) ) ),
    file(closure2,k6_closure2),
    []).

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_k6_pralg_2,axiom,(
    ! [A,B,C,D] : 
      ( ( ~ v1_xboole_0(A)
        & ~ v3_struct_0(B)
        & l1_msualg_1(B)
        & m2_pralg_2(C,A,B)
        & m1_subset_1(D,A) )
     => ( v5_msualg_1(k6_pralg_2(A,B,C,D),B)
        & l3_msualg_1(k6_pralg_2(A,B,C,D),B) ) ) ),
    file(pralg_2,k6_pralg_2),
    []).

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_closure2,axiom,(
    ! [A,B,C] : 
      ( ( m1_pboole(B,A)
        & ~ v1_xboole_0(C)
        & m1_subset_1(C,k1_zfmisc_1(k1_closure2(A,B))) )
     => ! [D] : 
          ( m1_closure2(D,A,B,C)
         => m4_pboole(D,A,B) ) ) ),
    file(closure2,m1_closure2),
    []).

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

fof(dt_m1_msafree,axiom,(
    ! [A,B] : 
      ( ( ~ v3_struct_0(A)
        & ~ v2_msualg_1(A)
        & l1_msualg_1(A)
        & l3_msualg_1(B,A) )
     => ! [C] : 
          ( m1_msafree(C,A,B)
         => m4_pboole(C,u1_struct_0(A),u4_msualg_1(A,B)) ) ) ),
    file(msafree,m1_msafree),
    []).

fof(dt_m1_msualg_2,axiom,(
    ! [A,B] : 
      ( ( ~ v3_struct_0(A)
        & ~ v2_msualg_1(A)
        & l1_msualg_1(A)
        & l3_msualg_1(B,A) )
     => ! [C] : 
          ( m1_msualg_2(C,A,B)
         => l3_msualg_1(C,A) ) ) ),
    file(msualg_2,m1_msualg_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_subset_1,axiom,(
    $true ),
    file(subset_1,m1_subset_1),
    []).

fof(dt_m2_pralg_2,axiom,(
    ! [A,B] : 
      ( ( ~ v3_struct_0(B)
        & l1_msualg_1(B) )
     => ! [C] : 
          ( m2_pralg_2(C,A,B)
         => m1_pboole(C,A) ) ) ),
    file(pralg_2,m2_pralg_2),
    []).

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

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_m4_pboole,axiom,(
    ! [A,B] : 
      ( m1_pboole(B,A)
     => ! [C] : 
          ( m4_pboole(C,A,B)
         => m1_pboole(C,A) ) ) ),
    file(pboole,m4_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_closure2,axiom,(
    ! [A,B,C] : 
      ( ( m1_pboole(B,A)
        & ~ v1_xboole_0(C)
        & m1_subset_1(C,k1_zfmisc_1(k1_closure2(A,B))) )
     => ? [D] : m1_closure2(D,A,B,C) ) ),
    file(closure2,m1_closure2),
    []).

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

fof(existence_m1_msafree,axiom,(
    ! [A,B] : 
      ( ( ~ v3_struct_0(A)
        & ~ v2_msualg_1(A)
        & l1_msualg_1(A)
        & l3_msualg_1(B,A) )
     => ? [C] : m1_msafree(C,A,B) ) ),
    file(msafree,m1_msafree),
    []).

fof(existence_m1_msualg_2,axiom,(
    ! [A,B] : 
      ( ( ~ v3_struct_0(A)
        & ~ v2_msualg_1(A)
        & l1_msualg_1(A)
        & l3_msualg_1(B,A) )
     => ? [C] : m1_msualg_2(C,A,B) ) ),
    file(msualg_2,m1_msualg_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_subset_1,axiom,(
    ! [A] : 
    ? [B] : m1_subset_1(B,A) ),
    file(subset_1,m1_subset_1),
    []).

fof(existence_m2_pralg_2,axiom,(
    ! [A,B] : 
      ( ( ~ v3_struct_0(B)
        & l1_msualg_1(B) )
     => ? [C] : m2_pralg_2(C,A,B) ) ),
    file(pralg_2,m2_pralg_2),
    []).

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(existence_m4_pboole,axiom,(
    ! [A,B] : 
      ( m1_pboole(B,A)
     => ? [C] : m4_pboole(C,A,B) ) ),
    file(pboole,m4_pboole),
    []).

fof(fc10_msualg_2,axiom,(
    ! [A,B,C] : 
      ( ( ~ v3_struct_0(A)
        & ~ v2_msualg_1(A)
        & l1_msualg_1(A)
        & v5_msualg_1(B,A)
        & l3_msualg_1(B,A)
        & v2_relat_1(C)
        & m4_pboole(C,u1_struct_0(A),u4_msualg_1(A,B)) )
     => ( v4_msualg_1(k12_msualg_2(A,B,C),A)
        & v5_msualg_1(k12_msualg_2(A,B,C),A) ) ) ),
    file(msualg_2,fc10_msualg_2),
    []).

fof(fc11_finseq_1,axiom,(
    ! [A] : 
      ( ( v1_relat_1(A)
        & v1_finset_1(A) )
     => v1_finset_1(k2_relat_1(A)) ) ),
    file(finseq_1,fc11_finseq_1),
    []).

fof(fc11_msualg_2,axiom,(
    ! [A,B] : 
      ( ( ~ v3_struct_0(A)
        & ~ v2_msualg_1(A)
        & l1_msualg_1(A)
        & l3_msualg_1(B,A) )
     => ~ v1_xboole_0(k14_msualg_2(A,B)) ) ),
    file(msualg_2,fc11_msualg_2),
    []).

fof(fc14_finset_1,axiom,(
    ! [A,B] : 
      ( ( v1_finset_1(A)
        & v1_finset_1(B) )
     => v1_finset_1(k2_zfmisc_1(A,B)) ) ),
    file(finset_1,fc14_finset_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(fc17_finseq_1,axiom,(
    ! [A] : 
      ( ( v1_relat_1(A)
        & v1_funct_1(A)
        & v1_finset_1(A) )
     => v1_finset_1(k1_relat_1(A)) ) ),
    file(finseq_1,fc17_finseq_1),
    []).

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_msualg_1,axiom,(
    ! [A,B] : 
      ( ( l1_struct_0(A)
        & v5_msualg_1(B,A)
        & l2_msualg_1(B,A) )
     => ( v1_relat_1(u4_msualg_1(A,B))
        & v2_relat_1(u4_msualg_1(A,B))
        & v1_funct_1(u4_msualg_1(A,B)) ) ) ),
    file(msualg_1,fc1_msualg_1),
    []).

fof(fc1_pboole,axiom,(
    ! [A,B] : 
      ( ( v2_relat_1(B)
        & m1_pboole(B,A) )
     => ( v1_relat_1(k6_pboole(A,B))
        & v2_relat_1(k6_pboole(A,B))
        & ~ v3_relat_1(k6_pboole(A,B))
        & v1_funct_1(k6_pboole(A,B)) ) ) ),
    file(pboole,fc1_pboole),
    []).

fof(fc1_struct_0,axiom,(
    ! [A] : 
      ( ( ~ v3_struct_0(A)
        & l1_struct_0(A) )
     => ~ v1_xboole_0(u1_struct_0(A)) ) ),
    file(struct_0,fc1_struct_0),
    []).

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

fof(fc2_closure2,axiom,(
    ! [A,B] : 
      ( m1_pboole(B,A)
     => ( ~ v1_xboole_0(k1_closure2(A,B))
        & v1_fraenkel(k1_closure2(A,B))
        & v1_pralg_2(k1_closure2(A,B)) ) ) ),
    file(closure2,fc2_closure2),
    []).

fof(fc2_equation,axiom,(
    ! [A,B,C] : 
      ( ( ~ v3_struct_0(A)
        & ~ v2_msualg_1(A)
        & l1_msualg_1(A)
        & v5_msualg_1(B,A)
        & l3_msualg_1(B,A)
        & v2_relat_1(C)
        & v1_pre_circ(C,u1_struct_0(A))
        & m4_pboole(C,u1_struct_0(A),u4_msualg_1(A,B)) )
     => ( v4_msualg_1(k12_msualg_2(A,B,C),A)
        & v5_msualg_1(k12_msualg_2(A,B,C),A)
        & v3_msafree2(k12_msualg_2(A,B,C),A)
        & v1_msualg_6(k12_msualg_2(A,B,C),A) ) ) ),
    file(equation,fc2_equation),
    []).

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_pboole,axiom,(
    ! [A,B,C] : 
      ( ( ~ v1_xboole_0(A)
        & v2_relat_1(B)
        & m1_pboole(B,A)
        & m1_subset_1(C,A) )
     => ~ v1_xboole_0(k1_funct_1(B,C)) ) ),
    file(pboole,fc2_pboole),
    []).

fof(fc3_msafree,axiom,(
    ! [A] : 
      ( ( ~ v2_msualg_1(A)
        & l1_msualg_1(A) )
     => ~ v1_xboole_0(u1_msualg_1(A)) ) ),
    file(msafree,fc3_msafree),
    []).

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(fc6_funct_1,axiom,(
    ! [A] : 
      ( ( v1_relat_1(A)
        & v2_relat_1(A)
        & v1_funct_1(A) )
     => v1_setfam_1(k2_relat_1(A)) ) ),
    file(funct_1,fc6_funct_1),
    []).

fof(fc6_msualg_2,axiom,(
    ! [A,B] : 
      ( ( ~ v3_struct_0(A)
        & ~ v2_msualg_1(A)
        & l1_msualg_1(A)
        & v5_msualg_1(B,A)
        & l3_msualg_1(B,A) )
     => ( v4_msualg_1(g3_msualg_1(A,u4_msualg_1(A,B),u5_msualg_1(A,B)),A)
        & v5_msualg_1(g3_msualg_1(A,u4_msualg_1(A,B),u5_msualg_1(A,B)),A) ) ) ),
    file(msualg_2,fc6_msualg_2),
    []).

fof(fc7_funcop_1,axiom,(
    ! [A,B] : 
      ( ( v1_relat_1(A)
        & v1_funct_1(A)
        & v1_funcop_1(A) )
     => ( v1_relat_1(k1_funct_1(A,B))
        & v1_funct_1(k1_funct_1(A,B)) ) ) ),
    file(funcop_1,fc7_funcop_1),
    []).

fof(fc8_funcop_1,axiom,(
    ! [A,B] : 
      ( ( v1_relat_1(A)
        & v1_funct_1(A)
        & v1_funcop_1(A)
        & v1_relat_1(B)
        & v1_funct_1(B) )
     => ( v1_relat_1(k5_relat_1(B,A))
        & v1_funct_1(k5_relat_1(B,A))
        & v1_funcop_1(k5_relat_1(B,A)) ) ) ),
    file(funcop_1,fc8_funcop_1),
    []).

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

fof(fraenkel_a_4_0_equation,axiom,(
    ! [A,B,C,D,E] : 
      ( ( ~ v3_struct_0(B)
        & ~ v2_msualg_1(B)
        & l1_msualg_1(B)
        & ~ v1_xboole_0(C)
        & v1_finset_1(C)
        & v5_msualg_1(D,B)
        & l3_msualg_1(D,B)
        & m2_pralg_2(E,C,B) )
     => ( r2_hidden(A,a_4_0_equation(B,C,D,E))
      <=> ? [F] : 
            ( m1_subset_1(F,k14_msualg_2(B,D))
            & A = F
            & ? [G] : 
                ( m1_subset_1(G,C)
                & ? [H] : 
                    ( v4_msualg_1(H,B)
                    & v5_msualg_1(H,B)
                    & v3_msafree2(H,B)
                    & m1_msualg_2(H,B,D)
                    & F = k6_pralg_2(C,B,E,G)
                    & F = H ) ) ) ) ) ),
    file(equation,a_4_0_equation),
    []).

fof(fraenkel_a_7_0_equation,axiom,(
    ! [A,B,C,D,E,F,G,H] : 
      ( ( ~ v3_struct_0(B)
        & ~ v2_msualg_1(B)
        & l1_msualg_1(B)
        & ~ v1_xboole_0(C)
        & v1_finset_1(C)
        & v5_msualg_1(D,B)
        & l3_msualg_1(D,B)
        & m2_pralg_2(E,C,B)
        & ~ v1_xboole_0(F)
        & v1_funct_1(G)
        & v1_funct_2(G,F,k6_closure2(u1_struct_0(B),u4_msualg_1(B,D)))
        & m2_relset_1(G,F,k6_closure2(u1_struct_0(B),u4_msualg_1(B,D))) )
     => ( r2_hidden(A,a_7_0_equation(B,C,D,E,F,G,H))
      <=> ? [I] : 
            ( m1_subset_1(I,k1_zfmisc_1(k1_funct_1(u4_msualg_1(B,D),H)))
            & A = I
            & ? [J] : 
                ( m1_subset_1(J,C)
                & ? [K] : 
                    ( m1_pboole(K,u1_struct_0(B))
                    & K = k1_funct_1(G,k6_pralg_2(C,B,E,J))
                    & I = k1_funct_1(K,H) ) ) ) ) ) ),
    file(equation,a_7_0_equation),
    []).

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_closure2,axiom,(
    ? [A] : 
      ( v1_xboole_0(A)
      & v1_relat_1(A)
      & v1_funct_1(A)
      & v2_funct_1(A)
      & v1_finset_1(A)
      & v1_fraenkel(A) ) ),
    file(closure2,rc1_closure2),
    []).

fof(rc1_extens_1,axiom,(
    ! [A,B] : 
      ( ( ~ v3_struct_0(A)
        & ~ v2_msualg_1(A)
        & l1_msualg_1(A)
        & v5_msualg_1(B,A)
        & l3_msualg_1(B,A) )
     => ? [C] : 
          ( m1_msafree(C,A,B)
          & v1_relat_1(C)
          & v2_relat_1(C)
          & ~ v3_relat_1(C)
          & v1_funct_1(C) ) ) ),
    file(extens_1,rc1_extens_1),
    []).

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

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

fof(rc1_funcop_1,axiom,(
    ? [A] : 
      ( v1_relat_1(A)
      & v1_funct_1(A)
      & v1_funcop_1(A) ) ),
    file(funcop_1,rc1_funcop_1),
    []).

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

fof(rc1_msualg_6,axiom,(
    ! [A] : 
      ( ( ~ v3_struct_0(A)
        & ~ v2_msualg_1(A)
        & l1_msualg_1(A) )
     => ? [B] : 
          ( l3_msualg_1(B,A)
          & v5_msualg_1(B,A)
          & v1_msualg_6(B,A) ) ) ),
    file(msualg_6,rc1_msualg_6),
    []).

fof(rc1_msualg_9,axiom,(
    ! [A,B] : 
      ( m1_pboole(B,A)
     => ? [C] : 
          ( m1_subset_1(C,k6_closure2(A,B))
          & v1_relat_1(C)
          & v1_funct_1(C)
          & v1_pre_circ(C,A) ) ) ),
    file(msualg_9,rc1_msualg_9),
    []).

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

fof(rc1_pralg_2,axiom,(
    ? [A] : 
      ( ~ v1_xboole_0(A)
      & v1_fraenkel(A)
      & v1_pralg_2(A) ) ),
    file(pralg_2,rc1_pralg_2),
    []).

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_closure2,axiom,(
    ! [A,B] : 
      ( m1_pboole(B,A)
     => ? [C] : 
          ( m1_subset_1(C,k1_zfmisc_1(k1_closure2(A,B)))
          & ~ v1_xboole_0(C)
          & v1_fraenkel(C)
          & v1_pralg_2(C) ) ) ),
    file(closure2,rc2_closure2),
    []).

fof(rc2_equation,axiom,(
    ! [A,B] : 
      ( ( ~ v3_struct_0(A)
        & ~ v2_msualg_1(A)
        & l1_msualg_1(A)
        & v5_msualg_1(B,A)
        & l3_msualg_1(B,A) )
     => ? [C] : 
          ( m1_msualg_2(C,A,B)
          & v4_msualg_1(C,A)
          & v5_msualg_1(C,A)
          & v3_msafree2(C,A)
          & v1_msualg_6(C,A) ) ) ),
    file(equation,rc2_equation),
    []).

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_msualg_2,axiom,(
    ! [A,B] : 
      ( ( ~ v3_struct_0(A)
        & ~ v2_msualg_1(A)
        & l1_msualg_1(A)
        & l3_msualg_1(B,A) )
     => ? [C] : 
          ( m1_msualg_2(C,A,B)
          & v4_msualg_1(C,A) ) ) ),
    file(msualg_2,rc2_msualg_2),
    []).

fof(rc2_msualg_9,axiom,(
    ! [A,B] : 
      ( ( v2_relat_1(B)
        & m1_pboole(B,A) )
     => ? [C] : 
          ( m4_pboole(C,A,B)
          & v1_relat_1(C)
          & v2_relat_1(C)
          & v1_funct_1(C)
          & v1_pre_circ(C,A) ) ) ),
    file(msualg_9,rc2_msualg_9),
    []).

fof(rc2_pboole,axiom,(
    ! [A] : 
    ? [B] : 
      ( m1_pboole(B,A)
      & v1_relat_1(B)
      & v3_relat_1(B)
      & v1_funct_1(B) ) ),
    file(pboole,rc2_pboole),
    []).

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_closure2,axiom,(
    ! [A,B] : 
      ( m1_pboole(B,A)
     => ? [C] : 
          ( m1_subset_1(C,k1_zfmisc_1(k1_closure2(A,B)))
          & v1_xboole_0(C)
          & v1_relat_1(C)
          & v1_funct_1(C)
          & v2_funct_1(C)
          & v1_finset_1(C)
          & v1_fraenkel(C) ) ) ),
    file(closure2,rc3_closure2),
    []).

fof(rc3_equation,axiom,(
    ! [A,B] : 
      ( ( ~ v3_struct_0(A)
        & ~ v2_msualg_1(A)
        & l1_msualg_1(A)
        & v1_msualg_6(B,A)
        & l3_msualg_1(B,A) )
     => ? [C] : 
          ( m1_msualg_2(C,A,B)
          & v1_msualg_6(C,A) ) ) ),
    file(equation,rc3_equation),
    []).

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_finset_1,axiom,(
    ! [A] : 
      ( ~ v1_xboole_0(A)
     => ? [B] : 
          ( m1_subset_1(B,k1_zfmisc_1(A))
          & ~ v1_xboole_0(B)
          & v1_finset_1(B) ) ) ),
    file(finset_1,rc3_finset_1),
    []).

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(rc3_msualg_2,axiom,(
    ! [A,B] : 
      ( ( ~ v3_struct_0(A)
        & ~ v2_msualg_1(A)
        & l1_msualg_1(A)
        & v5_msualg_1(B,A)
        & l3_msualg_1(B,A) )
     => ? [C] : 
          ( m1_msualg_2(C,A,B)
          & v4_msualg_1(C,A)
          & v5_msualg_1(C,A) ) ) ),
    file(msualg_2,rc3_msualg_2),
    []).

fof(rc3_pboole,axiom,(
    ! [A] : 
    ? [B] : 
      ( m1_pboole(B,A)
      & v1_relat_1(B)
      & v2_relat_1(B)
      & v1_funct_1(B) ) ),
    file(pboole,rc3_pboole),
    []).

fof(rc3_struct_0,axiom,(
    ? [A] : 
      ( l1_struct_0(A)
      & ~ v3_struct_0(A) ) ),
    file(struct_0,rc3_struct_0),
    []).

fof(rc4_closure2,axiom,(
    ! [A,B] : 
      ( m1_pboole(B,A)
     => ? [C] : 
          ( m1_subset_1(C,k1_zfmisc_1(k1_closure2(A,B)))
          & ~ v1_xboole_0(C)
          & v1_fraenkel(C)
          & v1_pralg_2(C)
          & v1_closure2(C,A,B)
          & v2_closure2(C,A,B)
          & v3_closure2(C,A,B)
          & v4_closure2(C,A,B)
          & v5_closure2(C,A,B)
          & v6_closure2(C,A,B) ) ) ),
    file(closure2,rc4_closure2),
    []).

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

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(rc4_pboole,axiom,(
    ! [A] : 
    ? [B] : 
      ( m1_pboole(B,A)
      & v1_relat_1(B)
      & v1_funct_1(B)
      & v1_funcop_1(B) ) ),
    file(pboole,rc4_pboole),
    []).

fof(rc5_funct_1,axiom,(
    ? [A] : 
      ( v1_relat_1(A)
      & v2_relat_1(A)
      & v1_funct_1(A) ) ),
    file(funct_1,rc5_funct_1),
    []).

fof(rc5_msualg_1,axiom,(
    ! [A] : 
      ( ( ~ v3_struct_0(A)
        & l1_msualg_1(A) )
     => ? [B] : 
          ( l3_msualg_1(B,A)
          & v4_msualg_1(B,A) ) ) ),
    file(msualg_1,rc5_msualg_1),
    []).

fof(rc5_pboole,axiom,(
    ! [A,B] : 
      ( ( v2_relat_1(B)
        & m1_pboole(B,A) )
     => ? [C] : 
          ( m4_pboole(C,A,B)
          & v1_relat_1(C)
          & v2_relat_1(C)
          & v1_funct_1(C) ) ) ),
    file(pboole,rc5_pboole),
    []).

fof(rc5_struct_0,axiom,(
    ! [A] : 
      ( ( ~ v3_struct_0(A)
        & l1_struct_0(A) )
     => ? [B] : 
          ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A)))
          & ~ v1_xboole_0(B) ) ) ),
    file(struct_0,rc5_struct_0),
    []).

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(rc6_msualg_1,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) ) ) ),
    file(msualg_1,rc6_msualg_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_k3_finseq_2,axiom,(
    ! [A] : k3_finseq_2(A) = k13_finseq_1(A) ),
    file(finseq_2,k3_finseq_2),
    []).

fof(redefinition_k4_relset_1,axiom,(
    ! [A,B,C] : 
      ( m1_relset_1(C,A,B)
     => k4_relset_1(A,B,C) = k1_relat_1(C) ) ),
    file(relset_1,k4_relset_1),
    []).

fof(redefinition_k6_closure2,axiom,(
    ! [A,B] : 
      ( m1_pboole(B,A)
     => k6_closure2(A,B) = k1_closure2(A,B) ) ),
    file(closure2,k6_closure2),
    []).

fof(redefinition_k6_pralg_2,axiom,(
    ! [A,B,C,D] : 
      ( ( ~ v1_xboole_0(A)
        & ~ v3_struct_0(B)
        & l1_msualg_1(B)
        & m2_pralg_2(C,A,B)
        & m1_subset_1(D,A) )
     => k6_pralg_2(A,B,C,D) = k1_funct_1(C,D) ) ),
    file(pralg_2,k6_pralg_2),
    []).

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_closure2,axiom,(
    ! [A,B,C] : 
      ( ( m1_pboole(B,A)
        & ~ v1_xboole_0(C)
        & m1_subset_1(C,k1_zfmisc_1(k1_closure2(A,B))) )
     => ! [D] : 
          ( m1_closure2(D,A,B,C)
        <=> m1_subset_1(D,C) ) ) ),
    file(closure2,m1_closure2),
    []).

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_r6_pboole,axiom,(
    ! [A,B,C] : 
      ( ( m1_pboole(B,A)
        & m1_pboole(C,A) )
     => ( r6_pboole(A,B,C)
      <=> B = C ) ) ),
    file(pboole,r6_pboole),
    []).

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

fof(reflexivity_r2_pboole,axiom,(
    ! [A,B,C] : 
      ( ( m1_pboole(B,A)
        & m1_pboole(C,A) )
     => r2_pboole(A,B,B) ) ),
    file(pboole,r2_pboole),
    []).

fof(reflexivity_r6_pboole,axiom,(
    ! [A,B,C] : 
      ( ( m1_pboole(B,A)
        & m1_pboole(C,A) )
     => r6_pboole(A,B,B) ) ),
    file(pboole,r6_pboole),
    []).

fof(s3_funct_2__e4_32_5_1__equation,axiom,(
    ! [A,B,C,D,E,F,G,H] : 
      ( ( ~ v3_struct_0(A)
        & ~ v2_msualg_1(A)
        & l1_msualg_1(A)
        & ~ v1_xboole_0(B)
        & v1_finset_1(B)
        & v5_msualg_1(C,A)
        & l3_msualg_1(C,A)
        & m2_pralg_2(D,B,A)
        & ~ v1_xboole_0(E)
        & v1_funct_1(F)
        & v1_funct_2(F,E,k6_closure2(u1_struct_0(A),u4_msualg_1(A,C)))
        & m2_relset_1(F,E,k6_closure2(u1_struct_0(A),u4_msualg_1(A,C)))
        & ~ v1_xboole_0(H) )
     => ( ! [I] : 
            ( m1_subset_1(I,B)
           => ? [J] : 
                ( m1_subset_1(J,H)
                & ? [K] : 
                    ( m1_pboole(K,u1_struct_0(A))
                    & k1_funct_1(F,k1_funct_1(D,I)) = K
                    & J = k1_funct_1(K,G) ) ) )
       => ? [I] : 
            ( v1_funct_1(I)
            & v1_funct_2(I,B,H)
            & m2_relset_1(I,B,H)
            & ! [J] : 
                ( m1_subset_1(J,B)
               => ? [L] : 
                    ( m1_pboole(L,u1_struct_0(A))
                    & k1_funct_1(F,k1_funct_1(D,J)) = L
                    & k8_funct_2(B,H,I,J) = k1_funct_1(L,G) ) ) ) ) ) ),
    file(equation,s3_funct_2__e4_32_5_1__equation),
    []).

fof(s3_funct_2__e9_32__equation,axiom,(
    ! [A,B,C] : 
      ( ( ~ v3_struct_0(A)
        & ~ v2_msualg_1(A)
        & l1_msualg_1(A)
        & v5_msualg_1(B,A)
        & l3_msualg_1(B,A)
        & ~ v1_xboole_0(C) )
     => ( ! [D] : 
            ( m1_subset_1(D,C)
           => ? [E] : 
                ( m1_subset_1(E,k6_closure2(u1_struct_0(A),u4_msualg_1(A,B)))
                & ? [F] : 
                    ( v4_msualg_1(F,A)
                    & v5_msualg_1(F,A)
                    & m1_msualg_2(F,A,B)
                    & ? [G] : 
                        ( m1_msafree(G,A,F)
                        & D = F
                        & E = G
                        & v2_relat_1(G)
                        & v1_pre_circ(G,u1_struct_0(A)) ) ) ) )
       => ? [D] : 
            ( v1_funct_1(D)
            & v1_funct_2(D,C,k6_closure2(u1_struct_0(A),u4_msualg_1(A,B)))
            & m2_relset_1(D,C,k6_closure2(u1_struct_0(A),u4_msualg_1(A,B)))
            & ! [E] : 
                ( m1_subset_1(E,C)
               => ? [H] : 
                    ( v4_msualg_1(H,A)
                    & v5_msualg_1(H,A)
                    & m1_msualg_2(H,A,B)
                    & ? [I] : 
                        ( m1_msafree(I,A,H)
                        & E = H
                        & k8_funct_2(C,k6_closure2(u1_struct_0(A),u4_msualg_1(A,B)),D,E) = I
                        & v2_relat_1(I)
                        & v1_pre_circ(I,u1_struct_0(A)) ) ) ) ) ) ) ),
    file(equation,s3_funct_2__e9_32__equation),
    []).

fof(s4_pboole__e11_32__equation,axiom,(
    ! [A,B,C,D,E,F] : 
      ( ( ~ v3_struct_0(A)
        & ~ v2_msualg_1(A)
        & l1_msualg_1(A)
        & ~ v1_xboole_0(B)
        & v1_finset_1(B)
        & v5_msualg_1(C,A)
        & l3_msualg_1(C,A)
        & m2_pralg_2(D,B,A)
        & ~ v1_xboole_0(E)
        & v1_funct_1(F)
        & v1_funct_2(F,E,k6_closure2(u1_struct_0(A),u4_msualg_1(A,C)))
        & m2_relset_1(F,E,k6_closure2(u1_struct_0(A),u4_msualg_1(A,C))) )
     => ? [G] : 
          ( m1_pboole(G,u1_struct_0(A))
          & ! [H] : 
              ( r2_hidden(H,u1_struct_0(A))
             => k1_funct_1(G,H) = k3_tarski(a_7_0_equation(A,B,C,D,E,F,H)) ) ) ) ),
    file(equation,s4_pboole__e11_32__equation),
    []).

fof(symmetry_r6_pboole,axiom,(
    ! [A,B,C] : 
      ( ( m1_pboole(B,A)
        & m1_pboole(C,A) )
     => ( r6_pboole(A,B,C)
       => r6_pboole(A,C,B) ) ) ),
    file(pboole,r6_pboole),
    []).

fof(t12_relset_1,axiom,(
    ! [A,B,C] : 
      ( m2_relset_1(C,A,B)
     => ( r1_tarski(k1_relat_1(C),A)
        & r1_tarski(k2_relat_1(C),B) ) ) ),
    file(relset_1,t12_relset_1),
    []).

fof(t15_pboole,axiom,(
    ! [A,B] : 
      ( m1_pboole(B,A)
     => ! [C] : 
          ( m1_pboole(C,A)
         => ! [D] : 
              ( m1_pboole(D,A)
             => ( ( r2_pboole(A,B,C)
                  & r2_pboole(A,C,D) )
               => r2_pboole(A,B,D) ) ) ) ) ),
    file(pboole,t15_pboole),
    []).

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

fof(t1_xboole_1,axiom,(
    ! [A,B,C] : 
      ( ( r1_tarski(A,B)
        & r1_tarski(B,C) )
     => r1_tarski(A,C) ) ),
    file(xboole_1,t1_xboole_1),
    []).

fof(t20_finseq_1,axiom,(
    ! [A] : 
      ( ( v1_relat_1(A)
        & v1_funct_1(A) )
     => ! [B] : 
          ( ( v1_relat_1(B)
            & v1_funct_1(B)
            & v1_finseq_1(B) )
         => ( r1_tarski(k2_relat_1(B),k1_relat_1(A))
           => ( v1_relat_1(k5_relat_1(B,A))
              & v1_funct_1(k5_relat_1(B,A))
              & v1_finseq_1(k5_relat_1(B,A)) ) ) ) ) ),
    file(finseq_1,t20_finseq_1),
    []).

fof(t21_extens_1,axiom,(
    ! [A] : 
      ( ( ~ v3_struct_0(A)
        & ~ v2_msualg_1(A)
        & l1_msualg_1(A) )
     => ! [B] : 
          ( l3_msualg_1(B,A)
         => ! [C] : 
              ( m4_pboole(C,u1_struct_0(A),u4_msualg_1(A,B))
             => ! [D] : 
                  ( m4_pboole(D,u1_struct_0(A),u4_msualg_1(A,B))
                 => ( m4_pboole(C,u1_struct_0(A),D)
                   => m1_msualg_2(k12_msualg_2(A,B,C),A,k12_msualg_2(A,B,D)) ) ) ) ) ) ),
    file(extens_1,t21_extens_1),
    []).

fof(t21_msscyc_1,axiom,(
    ! [A] : 
      ( ( ~ v3_struct_0(A)
        & ~ v2_msualg_1(A)
        & l1_msualg_1(A) )
     => ! [B] : 
          ( l3_msualg_1(B,A)
         => ! [C] : 
              ( m1_msafree(C,A,B)
             => ! [D] : 
                  ( m4_pboole(D,u1_struct_0(A),u4_msualg_1(A,B))
                 => ( r2_pboole(u1_struct_0(A),C,D)
                   => m1_msafree(D,A,B) ) ) ) ) ) ),
    file(msscyc_1,t21_msscyc_1),
    []).

fof(t22_extens_1,axiom,(
    ! [A] : 
      ( ( ~ v3_struct_0(A)
        & ~ v2_msualg_1(A)
        & l1_msualg_1(A) )
     => ! [B] : 
          ( l3_msualg_1(B,A)
         => ! [C] : 
              ( m1_msualg_2(C,A,B)
             => ! [D] : 
                  ( m4_pboole(D,u1_struct_0(A),u4_msualg_1(A,B))
                 => ! [E] : 
                      ( m4_pboole(E,u1_struct_0(A),u4_msualg_1(A,C))
                     => ( r6_pboole(u1_struct_0(A),D,E)
                       => k12_msualg_2(A,B,D) = k12_msualg_2(A,C,E) ) ) ) ) ) ) ),
    file(extens_1,t22_extens_1),
    []).

fof(t25_finset_1,axiom,(
    ! [A] : 
      ( ( v1_finset_1(A)
        & ! [B] : 
            ( r2_hidden(B,A)
           => v1_finset_1(B) ) )
    <=> v1_finset_1(k3_tarski(A)) ) ),
    file(finset_1,t25_finset_1),
    []).

fof(t25_funct_1,axiom,(
    ! [A,B] : 
      ( ( v1_relat_1(B)
        & v1_funct_1(B) )
     => ! [C] : 
          ( ( v1_relat_1(C)
            & v1_funct_1(C) )
         => ( r2_hidden(A,k2_relat_1(k5_relat_1(C,B)))
           => r2_hidden(A,k2_relat_1(B)) ) ) ) ),
    file(funct_1,t25_funct_1),
    []).

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_msafree,axiom,(
    ! [A] : 
      ( ( ~ v3_struct_0(A)
        & ~ v2_msualg_1(A)
        & l1_msualg_1(A) )
     => ! [B] : 
          ( ( v4_msualg_1(B,A)
            & v5_msualg_1(B,A)
            & l3_msualg_1(B,A) )
         => ! [C] : 
              ( m4_pboole(C,u1_struct_0(A),u4_msualg_1(A,B))
             => ( m1_msafree(C,A,B)
              <=> k12_msualg_2(A,B,C) = B ) ) ) ) ),
    file(msafree,t3_msafree),
    []).

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

fof(t47_relat_1,axiom,(
    ! [A] : 
      ( v1_relat_1(A)
     => ! [B] : 
          ( v1_relat_1(B)
         => ( r1_tarski(k1_relat_1(A),k2_relat_1(B))
           => k2_relat_1(k5_relat_1(B,A)) = k2_relat_1(A) ) ) ) ),
    file(relat_1,t47_relat_1),
    []).

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(t73_finseq_1,axiom,(
    ! [A] : 
      ( v1_finset_1(A)
    <=> ? [B] : 
          ( v1_relat_1(B)
          & v1_funct_1(B)
          & v1_finseq_1(B)
          & A = k2_relat_1(B) ) ) ),
    file(finseq_1,t73_finseq_1),
    []).

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

fof(t7_funct_2,axiom,(
    ! [A,B,C,D] : 
      ( ( v1_funct_1(D)
        & v1_funct_2(D,A,B)
        & m2_relset_1(D,A,B) )
     => ( r2_hidden(C,A)
       => ( B = k1_xboole_0
          | r2_hidden(k1_funct_1(D,C),B) ) ) ) ),
    file(funct_2,t7_funct_2),
    []).

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

fof(t8_msualg_9,axiom,(
    ! [A,B] : 
      ( ( v2_relat_1(B)
        & m1_pboole(B,A) )
     => ! [C] : 
          ( ( v1_pre_circ(C,A)
            & m4_pboole(C,A,B) )
         => ? [D] : 
              ( v2_relat_1(D)
              & v1_pre_circ(D,A)
              & m4_pboole(D,A,B)
              & r2_pboole(A,C,D) ) ) ) ),
    file(msualg_9,t8_msualg_9),
    []).