% Mizar problem: t85_incsp_1,incsp_1,1462,34 
fof(t85_incsp_1,conjecture,(
    ! [A] : 
      ( ( v5_incsp_1(A)
        & l2_incsp_1(A) )
     => ! [B] : 
          ( m1_subset_1(B,u2_incsp_1(A))
         => ? [C] : 
              ( m1_subset_1(C,u4_incsp_1(A))
              & ? [D] : 
                  ( m1_subset_1(D,u4_incsp_1(A))
                  & C != D
                  & r3_incsp_1(A,B,C)
                  & r3_incsp_1(A,B,D) ) ) ) ) ),
    inference(mizar_bg_added,[status(thm)],[antisymmetry_r2_hidden,commutativity_k2_tarski,commutativity_k2_xboole_0,commutativity_k4_subset_1,commutativity_k7_domain_1,d10_incsp_1,d7_incsp_1,d8_incsp_1,dt_k1_enumset1,dt_k1_tarski,dt_k1_xboole_0,dt_k1_zfmisc_1,dt_k2_enumset1,dt_k2_incsp_1,dt_k2_tarski,dt_k2_xboole_0,dt_k4_subset_1,dt_k6_domain_1,dt_k7_domain_1,dt_k8_domain_1,dt_k9_domain_1,dt_l1_incsp_1,dt_l2_incsp_1,dt_m1_subset_1,dt_u1_incsp_1,dt_u2_incsp_1,dt_u4_incsp_1,existence_l1_incsp_1,existence_l2_incsp_1,existence_m1_subset_1,fc1_incsp_1,fc1_subset_1,fc1_xboole_0,fc2_subset_1,fc2_xboole_0,fc3_subset_1,fc3_xboole_0,idempotence_k2_xboole_0,idempotence_k4_subset_1,rc1_subset_1,rc1_xboole_0,rc2_subset_1,rc2_xboole_0,redefinition_k4_subset_1,redefinition_k6_domain_1,redefinition_k7_domain_1,redefinition_k8_domain_1,redefinition_k9_domain_1,reflexivity_r1_tarski,t103_enumset1,t14_incsp_1,t19_incsp_1,t1_boole,t1_subset,t21_incsp_1,t2_subset,t38_incsp_1,t3_subset,t43_enumset1,t46_enumset1,t4_subset,t5_subset,t6_boole,t77_incsp_1,t7_boole,t8_boole]),
    [file(incsp_1,t85_incsp_1)]).

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

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(commutativity_k4_subset_1,axiom,(
    ! [A,B,C] : 
      ( ( m1_subset_1(B,k1_zfmisc_1(A))
        & m1_subset_1(C,k1_zfmisc_1(A)) )
     => k4_subset_1(A,B,C) = k4_subset_1(A,C,B) ) ),
    file(subset_1,k4_subset_1),
    []).

fof(commutativity_k7_domain_1,axiom,(
    ! [A,B,C] : 
      ( ( ~ v1_xboole_0(A)
        & m1_subset_1(B,A)
        & m1_subset_1(C,A) )
     => k7_domain_1(A,B,C) = k7_domain_1(A,C,B) ) ),
    file(domain_1,k7_domain_1),
    []).

fof(d10_incsp_1,axiom,(
    ! [A] : 
      ( ( v5_incsp_1(A)
        & l2_incsp_1(A) )
     => ! [B] : 
          ( m1_subset_1(B,u1_incsp_1(A))
         => ! [C] : 
              ( m1_subset_1(C,u1_incsp_1(A))
             => ! [D] : 
                  ( m1_subset_1(D,u1_incsp_1(A))
                 => ( ~ v3_incsp_1(k8_domain_1(u1_incsp_1(A),B,C,D),A)
                   => ! [E] : 
                        ( m1_subset_1(E,u4_incsp_1(A))
                       => ( E = k2_incsp_1(A,B,C,D)
                        <=> r5_incsp_1(A,k8_domain_1(u1_incsp_1(A),B,C,D),E) ) ) ) ) ) ) ) ),
    file(incsp_1,d10_incsp_1),
    []).

fof(d7_incsp_1,axiom,(
    ! [A] : 
      ( l2_incsp_1(A)
     => ! [B] : 
          ( m1_subset_1(B,k1_zfmisc_1(u1_incsp_1(A)))
         => ( v4_incsp_1(B,A)
          <=> ? [C] : 
                ( m1_subset_1(C,u4_incsp_1(A))
                & r5_incsp_1(A,B,C) ) ) ) ) ),
    file(incsp_1,d7_incsp_1),
    []).

fof(d8_incsp_1,axiom,(
    ! [A] : 
      ( l2_incsp_1(A)
     => ( v5_incsp_1(A)
      <=> ( ! [B] : 
              ( m1_subset_1(B,u2_incsp_1(A))
             => ? [C] : 
                  ( m1_subset_1(C,u1_incsp_1(A))
                  & ? [D] : 
                      ( m1_subset_1(D,u1_incsp_1(A))
                      & C != D
                      & r4_incsp_1(A,k7_domain_1(u1_incsp_1(A),C,D),B) ) ) )
          & ! [B] : 
              ( m1_subset_1(B,u1_incsp_1(A))
             => ! [C] : 
                  ( m1_subset_1(C,u1_incsp_1(A))
                 => ? [D] : 
                      ( m1_subset_1(D,u2_incsp_1(A))
                      & r4_incsp_1(A,k7_domain_1(u1_incsp_1(A),B,C),D) ) ) )
          & ! [B] : 
              ( m1_subset_1(B,u1_incsp_1(A))
             => ! [C] : 
                  ( m1_subset_1(C,u1_incsp_1(A))
                 => ! [D] : 
                      ( m1_subset_1(D,u2_incsp_1(A))
                     => ! [E] : 
                          ( m1_subset_1(E,u2_incsp_1(A))
                         => ( ( r4_incsp_1(A,k7_domain_1(u1_incsp_1(A),B,C),D)
                              & r4_incsp_1(A,k7_domain_1(u1_incsp_1(A),B,C),E) )
                           => ( B = C
                              | D = E ) ) ) ) ) )
          & ! [B] : 
              ( m1_subset_1(B,u4_incsp_1(A))
             => ? [C] : 
                  ( m1_subset_1(C,u1_incsp_1(A))
                  & r2_incsp_1(A,C,B) ) )
          & ! [B] : 
              ( m1_subset_1(B,u1_incsp_1(A))
             => ! [C] : 
                  ( m1_subset_1(C,u1_incsp_1(A))
                 => ! [D] : 
                      ( m1_subset_1(D,u1_incsp_1(A))
                     => ? [E] : 
                          ( m1_subset_1(E,u4_incsp_1(A))
                          & r5_incsp_1(A,k8_domain_1(u1_incsp_1(A),B,C,D),E) ) ) ) )
          & ! [B] : 
              ( m1_subset_1(B,u1_incsp_1(A))
             => ! [C] : 
                  ( m1_subset_1(C,u1_incsp_1(A))
                 => ! [D] : 
                      ( m1_subset_1(D,u1_incsp_1(A))
                     => ! [E] : 
                          ( m1_subset_1(E,u4_incsp_1(A))
                         => ! [F] : 
                              ( m1_subset_1(F,u4_incsp_1(A))
                             => ( ( r5_incsp_1(A,k8_domain_1(u1_incsp_1(A),B,C,D),E)
                                  & r5_incsp_1(A,k8_domain_1(u1_incsp_1(A),B,C,D),F) )
                               => ( v3_incsp_1(k8_domain_1(u1_incsp_1(A),B,C,D),A)
                                  | E = F ) ) ) ) ) ) )
          & ! [B] : 
              ( m1_subset_1(B,u2_incsp_1(A))
             => ! [C] : 
                  ( m1_subset_1(C,u4_incsp_1(A))
                 => ( ? [D] : 
                        ( m1_subset_1(D,u1_incsp_1(A))
                        & ? [E] : 
                            ( m1_subset_1(E,u1_incsp_1(A))
                            & D != E
                            & r4_incsp_1(A,k7_domain_1(u1_incsp_1(A),D,E),B)
                            & r5_incsp_1(A,k7_domain_1(u1_incsp_1(A),D,E),C) ) )
                   => r3_incsp_1(A,B,C) ) ) )
          & ! [B] : 
              ( m1_subset_1(B,u1_incsp_1(A))
             => ! [C] : 
                  ( m1_subset_1(C,u4_incsp_1(A))
                 => ! [D] : 
                      ( m1_subset_1(D,u4_incsp_1(A))
                     => ~ ( r2_incsp_1(A,B,C)
                          & r2_incsp_1(A,B,D)
                          & ! [E] : 
                              ( m1_subset_1(E,u1_incsp_1(A))
                             => ~ ( B != E
                                  & r2_incsp_1(A,E,C)
                                  & r2_incsp_1(A,E,D) ) ) ) ) ) )
          & ~ ! [B] : 
                ( m1_subset_1(B,u1_incsp_1(A))
               => ! [C] : 
                    ( m1_subset_1(C,u1_incsp_1(A))
                   => ! [D] : 
                        ( m1_subset_1(D,u1_incsp_1(A))
                       => ! [E] : 
                            ( m1_subset_1(E,u1_incsp_1(A))
                           => v4_incsp_1(k9_domain_1(u1_incsp_1(A),B,C,D,E),A) ) ) ) )
          & ! [B] : 
              ( m1_subset_1(B,u1_incsp_1(A))
             => ! [C] : 
                  ( m1_subset_1(C,u2_incsp_1(A))
                 => ! [D] : 
                      ( m1_subset_1(D,u4_incsp_1(A))
                     => ( ( r1_incsp_1(A,B,C)
                          & r3_incsp_1(A,C,D) )
                       => r2_incsp_1(A,B,D) ) ) ) ) ) ) ) ),
    file(incsp_1,d8_incsp_1),
    []).

fof(dt_k1_enumset1,axiom,(
    $true ),
    file(enumset1,k1_enumset1),
    []).

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_enumset1,axiom,(
    $true ),
    file(enumset1,k2_enumset1),
    []).

fof(dt_k2_incsp_1,axiom,(
    ! [A,B,C,D] : 
      ( ( v5_incsp_1(A)
        & l2_incsp_1(A)
        & m1_subset_1(B,u1_incsp_1(A))
        & m1_subset_1(C,u1_incsp_1(A))
        & m1_subset_1(D,u1_incsp_1(A)) )
     => m1_subset_1(k2_incsp_1(A,B,C,D),u4_incsp_1(A)) ) ),
    file(incsp_1,k2_incsp_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_k4_subset_1,axiom,(
    ! [A,B,C] : 
      ( ( m1_subset_1(B,k1_zfmisc_1(A))
        & m1_subset_1(C,k1_zfmisc_1(A)) )
     => m1_subset_1(k4_subset_1(A,B,C),k1_zfmisc_1(A)) ) ),
    file(subset_1,k4_subset_1),
    []).

fof(dt_k6_domain_1,axiom,(
    ! [A,B] : 
      ( ( ~ v1_xboole_0(A)
        & m1_subset_1(B,A) )
     => m1_subset_1(k6_domain_1(A,B),k1_zfmisc_1(A)) ) ),
    file(domain_1,k6_domain_1),
    []).

fof(dt_k7_domain_1,axiom,(
    ! [A,B,C] : 
      ( ( ~ v1_xboole_0(A)
        & m1_subset_1(B,A)
        & m1_subset_1(C,A) )
     => m1_subset_1(k7_domain_1(A,B,C),k1_zfmisc_1(A)) ) ),
    file(domain_1,k7_domain_1),
    []).

fof(dt_k8_domain_1,axiom,(
    ! [A,B,C,D] : 
      ( ( ~ v1_xboole_0(A)
        & m1_subset_1(B,A)
        & m1_subset_1(C,A)
        & m1_subset_1(D,A) )
     => m1_subset_1(k8_domain_1(A,B,C,D),k1_zfmisc_1(A)) ) ),
    file(domain_1,k8_domain_1),
    []).

fof(dt_k9_domain_1,axiom,(
    ! [A,B,C,D,E] : 
      ( ( ~ v1_xboole_0(A)
        & m1_subset_1(B,A)
        & m1_subset_1(C,A)
        & m1_subset_1(D,A)
        & m1_subset_1(E,A) )
     => m1_subset_1(k9_domain_1(A,B,C,D,E),k1_zfmisc_1(A)) ) ),
    file(domain_1,k9_domain_1),
    []).

fof(dt_l1_incsp_1,axiom,(
    $true ),
    file(incsp_1,l1_incsp_1),
    []).

fof(dt_l2_incsp_1,axiom,(
    ! [A] : 
      ( l2_incsp_1(A)
     => l1_incsp_1(A) ) ),
    file(incsp_1,l2_incsp_1),
    []).

fof(dt_m1_subset_1,axiom,(
    $true ),
    file(subset_1,m1_subset_1),
    []).

fof(dt_u1_incsp_1,axiom,(
    ! [A] : 
      ( l1_incsp_1(A)
     => ~ v1_xboole_0(u1_incsp_1(A)) ) ),
    file(incsp_1,u1_incsp_1),
    []).

fof(dt_u2_incsp_1,axiom,(
    ! [A] : 
      ( l1_incsp_1(A)
     => ~ v1_xboole_0(u2_incsp_1(A)) ) ),
    file(incsp_1,u2_incsp_1),
    []).

fof(dt_u4_incsp_1,axiom,(
    ! [A] : 
      ( l2_incsp_1(A)
     => ~ v1_xboole_0(u4_incsp_1(A)) ) ),
    file(incsp_1,u4_incsp_1),
    []).

fof(existence_l1_incsp_1,axiom,(
    ? [A] : l1_incsp_1(A) ),
    file(incsp_1,l1_incsp_1),
    []).

fof(existence_l2_incsp_1,axiom,(
    ? [A] : l2_incsp_1(A) ),
    file(incsp_1,l2_incsp_1),
    []).

fof(existence_m1_subset_1,axiom,(
    ! [A] : 
    ? [B] : m1_subset_1(B,A) ),
    file(subset_1,m1_subset_1),
    []).

fof(fc1_incsp_1,axiom,(
    ! [A,B,C,D] : ~ v1_xboole_0(k2_enumset1(A,B,C,D)) ),
    file(incsp_1,fc1_incsp_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(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_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(idempotence_k2_xboole_0,axiom,(
    ! [A,B] : k2_xboole_0(A,A) = A ),
    file(xboole_0,k2_xboole_0),
    []).

fof(idempotence_k4_subset_1,axiom,(
    ! [A,B,C] : 
      ( ( m1_subset_1(B,k1_zfmisc_1(A))
        & m1_subset_1(C,k1_zfmisc_1(A)) )
     => k4_subset_1(A,B,B) = B ) ),
    file(subset_1,k4_subset_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_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(redefinition_k4_subset_1,axiom,(
    ! [A,B,C] : 
      ( ( m1_subset_1(B,k1_zfmisc_1(A))
        & m1_subset_1(C,k1_zfmisc_1(A)) )
     => k4_subset_1(A,B,C) = k2_xboole_0(B,C) ) ),
    file(subset_1,k4_subset_1),
    []).

fof(redefinition_k6_domain_1,axiom,(
    ! [A,B] : 
      ( ( ~ v1_xboole_0(A)
        & m1_subset_1(B,A) )
     => k6_domain_1(A,B) = k1_tarski(B) ) ),
    file(domain_1,k6_domain_1),
    []).

fof(redefinition_k7_domain_1,axiom,(
    ! [A,B,C] : 
      ( ( ~ v1_xboole_0(A)
        & m1_subset_1(B,A)
        & m1_subset_1(C,A) )
     => k7_domain_1(A,B,C) = k2_tarski(B,C) ) ),
    file(domain_1,k7_domain_1),
    []).

fof(redefinition_k8_domain_1,axiom,(
    ! [A,B,C,D] : 
      ( ( ~ v1_xboole_0(A)
        & m1_subset_1(B,A)
        & m1_subset_1(C,A)
        & m1_subset_1(D,A) )
     => k8_domain_1(A,B,C,D) = k1_enumset1(B,C,D) ) ),
    file(domain_1,k8_domain_1),
    []).

fof(redefinition_k9_domain_1,axiom,(
    ! [A,B,C,D,E] : 
      ( ( ~ v1_xboole_0(A)
        & m1_subset_1(B,A)
        & m1_subset_1(C,A)
        & m1_subset_1(D,A)
        & m1_subset_1(E,A) )
     => k9_domain_1(A,B,C,D,E) = k2_enumset1(B,C,D,E) ) ),
    file(domain_1,k9_domain_1),
    []).

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

fof(t103_enumset1,axiom,(
    ! [A,B,C,D] : k2_enumset1(A,B,C,D) = k2_enumset1(A,B,D,C) ),
    file(enumset1,t103_enumset1),
    []).

fof(t14_incsp_1,axiom,(
    ! [A] : 
      ( l2_incsp_1(A)
     => ! [B] : 
          ( m1_subset_1(B,u1_incsp_1(A))
         => ! [C] : 
              ( m1_subset_1(C,u1_incsp_1(A))
             => ! [D] : 
                  ( m1_subset_1(D,u1_incsp_1(A))
                 => ! [E] : 
                      ( m1_subset_1(E,u4_incsp_1(A))
                     => ( r5_incsp_1(A,k8_domain_1(u1_incsp_1(A),B,C,D),E)
                      <=> ( r2_incsp_1(A,B,E)
                          & r2_incsp_1(A,C,E)
                          & r2_incsp_1(A,D,E) ) ) ) ) ) ) ) ),
    file(incsp_1,t14_incsp_1),
    []).

fof(t19_incsp_1,axiom,(
    ! [A] : 
      ( l2_incsp_1(A)
     => ! [B] : 
          ( m1_subset_1(B,u1_incsp_1(A))
         => ! [C] : 
              ( m1_subset_1(C,u4_incsp_1(A))
             => ! [D] : 
                  ( m1_subset_1(D,k1_zfmisc_1(u1_incsp_1(A)))
                 => ( ( r5_incsp_1(A,D,C)
                      & r2_incsp_1(A,B,C) )
                  <=> r5_incsp_1(A,k4_subset_1(u1_incsp_1(A),D,k6_domain_1(u1_incsp_1(A),B)),C) ) ) ) ) ) ),
    file(incsp_1,t19_incsp_1),
    []).

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

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

fof(t21_incsp_1,axiom,(
    ! [A] : 
      ( l2_incsp_1(A)
     => ! [B] : 
          ( m1_subset_1(B,u4_incsp_1(A))
         => ! [C] : 
              ( m1_subset_1(C,k1_zfmisc_1(u1_incsp_1(A)))
             => ! [D] : 
                  ( m1_subset_1(D,k1_zfmisc_1(u1_incsp_1(A)))
                 => ( r5_incsp_1(A,k4_subset_1(u1_incsp_1(A),C,D),B)
                  <=> ( r5_incsp_1(A,C,B)
                      & r5_incsp_1(A,D,B) ) ) ) ) ) ) ),
    file(incsp_1,t21_incsp_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(t38_incsp_1,axiom,(
    ! [A] : 
      ( ( v5_incsp_1(A)
        & l2_incsp_1(A) )
     => ! [B] : 
          ( m1_subset_1(B,u1_incsp_1(A))
         => ! [C] : 
              ( m1_subset_1(C,u1_incsp_1(A))
             => ! [D] : 
                  ( m1_subset_1(D,u1_incsp_1(A))
                 => ! [E] : 
                      ( m1_subset_1(E,u1_incsp_1(A))
                     => ( v3_incsp_1(k8_domain_1(u1_incsp_1(A),B,C,D),A)
                       => v4_incsp_1(k9_domain_1(u1_incsp_1(A),B,C,D,E),A) ) ) ) ) ) ) ),
    file(incsp_1,t38_incsp_1),
    []).

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

fof(t43_enumset1,axiom,(
    ! [A,B,C] : k1_enumset1(A,B,C) = k2_xboole_0(k2_tarski(A,B),k1_tarski(C)) ),
    file(enumset1,t43_enumset1),
    []).

fof(t46_enumset1,axiom,(
    ! [A,B,C,D] : k2_enumset1(A,B,C,D) = k2_xboole_0(k1_enumset1(A,B,C),k1_tarski(D)) ),
    file(enumset1,t46_enumset1),
    []).

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(t77_incsp_1,axiom,(
    ! [A] : 
      ( ( v5_incsp_1(A)
        & l2_incsp_1(A) )
     => ! [B] : 
          ( m1_subset_1(B,u1_incsp_1(A))
         => ! [C] : 
              ( m1_subset_1(C,u1_incsp_1(A))
             => ~ ( B != C
                  & ! [D] : 
                      ( m1_subset_1(D,u1_incsp_1(A))
                     => ! [E] : 
                          ( m1_subset_1(E,u1_incsp_1(A))
                         => v4_incsp_1(k9_domain_1(u1_incsp_1(A),B,C,D,E),A) ) ) ) ) ) ) ),
    file(incsp_1,t77_incsp_1),
    []).

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),
    []).