% Mizar problem: t8_parsp_2,parsp_2,562,35 
fof(t8_parsp_2,conjecture,(
    ! [A] : 
      ( ( ~ v3_struct_0(A)
        & v3_rlvect_1(A)
        & v4_rlvect_1(A)
        & v5_rlvect_1(A)
        & v6_rlvect_1(A)
        & v4_group_1(A)
        & v7_group_1(A)
        & v7_vectsp_1(A)
        & v8_vectsp_1(A)
        & v9_vectsp_1(A)
        & ~ v10_vectsp_1(A)
        & l3_vectsp_1(A) )
     => ! [B] : 
          ( m1_subset_1(B,u1_struct_0(k9_parsp_1(A)))
         => ! [C] : 
              ( m1_subset_1(C,u1_struct_0(k9_parsp_1(A)))
             => ! [D] : 
                  ( m1_subset_1(D,u1_struct_0(k9_parsp_1(A)))
                 => ! [E] : 
                      ( m1_subset_1(E,u1_struct_0(k9_parsp_1(A)))
                     => ! [F] : 
                          ( m1_subset_1(F,u1_struct_0(k9_parsp_1(A)))
                         => ! [G] : 
                              ( m1_subset_1(G,u1_struct_0(k9_parsp_1(A)))
                             => ( ( r1_parsp_1(k9_parsp_1(A),B,C,D,F)
                                  & r1_parsp_1(k9_parsp_1(A),B,C,E,G)
                                  & r1_parsp_1(k9_parsp_1(A),B,D,C,F)
                                  & r1_parsp_1(k9_parsp_1(A),B,E,C,G) )
                               => ( r1_parsp_1(k9_parsp_1(A),B,C,B,D)
                                  | r1_parsp_1(k9_parsp_1(A),B,C,B,E)
                                  | r1_parsp_1(k9_parsp_1(A),D,E,F,G) ) ) ) ) ) ) ) ) ) ),
    inference(mizar_bg_added,[status(thm)],[abstractness_v1_parsp_1,cc1_vectsp_1,cc2_vectsp_1,cc3_vectsp_1,cc4_vectsp_1,cc5_vectsp_1,commutativity_k10_group_1,commutativity_k4_rlvect_1,dt_g1_parsp_1,dt_k10_group_1,dt_k1_group_1,dt_k1_rlvect_1,dt_k2_group_1,dt_k2_rlvect_1,dt_k3_zfmisc_1,dt_k4_mcart_1,dt_k4_rlvect_1,dt_k4_zfmisc_1,dt_k5_domain_1,dt_k5_mcart_1,dt_k6_mcart_1,dt_k6_rlvect_1,dt_k7_mcart_1,dt_k9_parsp_1,dt_l1_group_1,dt_l1_parsp_1,dt_l1_rlvect_1,dt_l1_struct_0,dt_l1_vectsp_1,dt_l2_struct_0,dt_l2_vectsp_1,dt_l3_vectsp_1,dt_m1_parsp_1,dt_m1_subset_1,dt_u1_parsp_1,dt_u1_struct_0,existence_l1_group_1,existence_l1_parsp_1,existence_l1_rlvect_1,existence_l1_struct_0,existence_l1_vectsp_1,existence_l2_struct_0,existence_l2_vectsp_1,existence_l3_vectsp_1,existence_m1_parsp_1,existence_m1_subset_1,fc1_struct_0,fc3_parsp_1,free_g1_parsp_1,l15_parsp_2,rc1_parsp_1,rc1_xboole_0,rc2_parsp_1,rc2_xboole_0,rc3_struct_0,rc4_struct_0,rc8_vectsp_1,rc9_vectsp_1,redefinition_k10_group_1,redefinition_k4_rlvect_1,redefinition_k5_domain_1,t2_parsp_2,t33_mcart_1,t5_parsp_2]),
    [file(parsp_2,t8_parsp_2)]).

fof(abstractness_v1_parsp_1,axiom,(
    ! [A] : 
      ( l1_parsp_1(A)
     => ( v1_parsp_1(A)
       => A = g1_parsp_1(u1_struct_0(A),u1_parsp_1(A)) ) ) ),
    file(parsp_1,v1_parsp_1),
    []).

fof(cc1_vectsp_1,axiom,(
    ! [A] : 
      ( l3_vectsp_1(A)
     => ( ( ~ v3_struct_0(A)
          & v7_vectsp_1(A) )
       => ( ~ v3_struct_0(A)
          & v4_vectsp_1(A)
          & v5_vectsp_1(A) ) ) ) ),
    file(vectsp_1,cc1_vectsp_1),
    []).

fof(cc2_vectsp_1,axiom,(
    ! [A] : 
      ( l3_vectsp_1(A)
     => ( ( ~ v3_struct_0(A)
          & v4_vectsp_1(A)
          & v5_vectsp_1(A) )
       => ( ~ v3_struct_0(A)
          & v7_vectsp_1(A) ) ) ) ),
    file(vectsp_1,cc2_vectsp_1),
    []).

fof(cc3_vectsp_1,axiom,(
    ! [A] : 
      ( l1_vectsp_1(A)
     => ( ( ~ v3_struct_0(A)
          & v2_group_1(A) )
       => ( ~ v3_struct_0(A)
          & v6_vectsp_1(A)
          & v8_vectsp_1(A) ) ) ) ),
    file(vectsp_1,cc3_vectsp_1),
    []).

fof(cc4_vectsp_1,axiom,(
    ! [A] : 
      ( l1_vectsp_1(A)
     => ( ( ~ v3_struct_0(A)
          & v6_vectsp_1(A)
          & v8_vectsp_1(A) )
       => ( ~ v3_struct_0(A)
          & v2_group_1(A) ) ) ) ),
    file(vectsp_1,cc4_vectsp_1),
    []).

fof(cc5_vectsp_1,axiom,(
    ! [A] : 
      ( l1_vectsp_1(A)
     => ( ( ~ v3_struct_0(A)
          & v7_group_1(A)
          & v8_vectsp_1(A) )
       => ( ~ v3_struct_0(A)
          & v6_vectsp_1(A) ) ) ) ),
    file(vectsp_1,cc5_vectsp_1),
    []).

fof(commutativity_k10_group_1,axiom,(
    ! [A,B,C] : 
      ( ( ~ v3_struct_0(A)
        & v7_group_1(A)
        & l1_group_1(A)
        & m1_subset_1(B,u1_struct_0(A))
        & m1_subset_1(C,u1_struct_0(A)) )
     => k10_group_1(A,B,C) = k10_group_1(A,C,B) ) ),
    file(group_1,k10_group_1),
    []).

fof(commutativity_k4_rlvect_1,axiom,(
    ! [A,B,C] : 
      ( ( ~ v3_struct_0(A)
        & v3_rlvect_1(A)
        & l1_rlvect_1(A)
        & m1_subset_1(B,u1_struct_0(A))
        & m1_subset_1(C,u1_struct_0(A)) )
     => k4_rlvect_1(A,B,C) = k4_rlvect_1(A,C,B) ) ),
    file(rlvect_1,k4_rlvect_1),
    []).

fof(dt_g1_parsp_1,axiom,(
    ! [A,B] : 
      ( m1_parsp_1(B,A)
     => ( v1_parsp_1(g1_parsp_1(A,B))
        & l1_parsp_1(g1_parsp_1(A,B)) ) ) ),
    file(parsp_1,g1_parsp_1),
    []).

fof(dt_k10_group_1,axiom,(
    ! [A,B,C] : 
      ( ( ~ v3_struct_0(A)
        & v7_group_1(A)
        & l1_group_1(A)
        & m1_subset_1(B,u1_struct_0(A))
        & m1_subset_1(C,u1_struct_0(A)) )
     => m1_subset_1(k10_group_1(A,B,C),u1_struct_0(A)) ) ),
    file(group_1,k10_group_1),
    []).

fof(dt_k1_group_1,axiom,(
    ! [A,B,C] : 
      ( ( ~ v3_struct_0(A)
        & l1_group_1(A)
        & m1_subset_1(B,u1_struct_0(A))
        & m1_subset_1(C,u1_struct_0(A)) )
     => m1_subset_1(k1_group_1(A,B,C),u1_struct_0(A)) ) ),
    file(group_1,k1_group_1),
    []).

fof(dt_k1_rlvect_1,axiom,(
    ! [A] : 
      ( l2_struct_0(A)
     => m1_subset_1(k1_rlvect_1(A),u1_struct_0(A)) ) ),
    file(rlvect_1,k1_rlvect_1),
    []).

fof(dt_k2_group_1,axiom,(
    ! [A] : 
      ( ( ~ v3_struct_0(A)
        & l1_group_1(A) )
     => m1_subset_1(k2_group_1(A),u1_struct_0(A)) ) ),
    file(group_1,k2_group_1),
    []).

fof(dt_k2_rlvect_1,axiom,(
    ! [A,B,C] : 
      ( ( ~ v3_struct_0(A)
        & l1_rlvect_1(A)
        & m1_subset_1(B,u1_struct_0(A))
        & m1_subset_1(C,u1_struct_0(A)) )
     => m1_subset_1(k2_rlvect_1(A,B,C),u1_struct_0(A)) ) ),
    file(rlvect_1,k2_rlvect_1),
    []).

fof(dt_k3_zfmisc_1,axiom,(
    $true ),
    file(zfmisc_1,k3_zfmisc_1),
    []).

fof(dt_k4_mcart_1,axiom,(
    $true ),
    file(mcart_1,k4_mcart_1),
    []).

fof(dt_k4_rlvect_1,axiom,(
    ! [A,B,C] : 
      ( ( ~ v3_struct_0(A)
        & v3_rlvect_1(A)
        & l1_rlvect_1(A)
        & m1_subset_1(B,u1_struct_0(A))
        & m1_subset_1(C,u1_struct_0(A)) )
     => m1_subset_1(k4_rlvect_1(A,B,C),u1_struct_0(A)) ) ),
    file(rlvect_1,k4_rlvect_1),
    []).

fof(dt_k4_zfmisc_1,axiom,(
    $true ),
    file(zfmisc_1,k4_zfmisc_1),
    []).

fof(dt_k5_domain_1,axiom,(
    ! [A,B,C,D,E,F,G,H] : 
      ( ( ~ v1_xboole_0(A)
        & ~ v1_xboole_0(B)
        & ~ v1_xboole_0(C)
        & ~ v1_xboole_0(D)
        & m1_subset_1(E,A)
        & m1_subset_1(F,B)
        & m1_subset_1(G,C)
        & m1_subset_1(H,D) )
     => m1_subset_1(k5_domain_1(A,B,C,D,E,F,G,H),k4_zfmisc_1(A,B,C,D)) ) ),
    file(domain_1,k5_domain_1),
    []).

fof(dt_k5_mcart_1,axiom,(
    ! [A,B,C,D] : 
      ( m1_subset_1(D,k3_zfmisc_1(A,B,C))
     => m1_subset_1(k5_mcart_1(A,B,C,D),A) ) ),
    file(mcart_1,k5_mcart_1),
    []).

fof(dt_k6_mcart_1,axiom,(
    ! [A,B,C,D] : 
      ( m1_subset_1(D,k3_zfmisc_1(A,B,C))
     => m1_subset_1(k6_mcart_1(A,B,C,D),B) ) ),
    file(mcart_1,k6_mcart_1),
    []).

fof(dt_k6_rlvect_1,axiom,(
    ! [A,B,C] : 
      ( ( ~ v3_struct_0(A)
        & l1_rlvect_1(A)
        & m1_subset_1(B,u1_struct_0(A))
        & m1_subset_1(C,u1_struct_0(A)) )
     => m1_subset_1(k6_rlvect_1(A,B,C),u1_struct_0(A)) ) ),
    file(rlvect_1,k6_rlvect_1),
    []).

fof(dt_k7_mcart_1,axiom,(
    ! [A,B,C,D] : 
      ( m1_subset_1(D,k3_zfmisc_1(A,B,C))
     => m1_subset_1(k7_mcart_1(A,B,C,D),C) ) ),
    file(mcart_1,k7_mcart_1),
    []).

fof(dt_k9_parsp_1,axiom,(
    ! [A] : 
      ( ( ~ v3_struct_0(A)
        & v3_rlvect_1(A)
        & v4_rlvect_1(A)
        & v5_rlvect_1(A)
        & v6_rlvect_1(A)
        & v4_group_1(A)
        & v7_group_1(A)
        & v7_vectsp_1(A)
        & v8_vectsp_1(A)
        & v9_vectsp_1(A)
        & ~ v10_vectsp_1(A)
        & l3_vectsp_1(A) )
     => l1_parsp_1(k9_parsp_1(A)) ) ),
    file(parsp_1,k9_parsp_1),
    []).

fof(dt_l1_group_1,axiom,(
    ! [A] : 
      ( l1_group_1(A)
     => l1_struct_0(A) ) ),
    file(group_1,l1_group_1),
    []).

fof(dt_l1_parsp_1,axiom,(
    ! [A] : 
      ( l1_parsp_1(A)
     => l1_struct_0(A) ) ),
    file(parsp_1,l1_parsp_1),
    []).

fof(dt_l1_rlvect_1,axiom,(
    ! [A] : 
      ( l1_rlvect_1(A)
     => l2_struct_0(A) ) ),
    file(rlvect_1,l1_rlvect_1),
    []).

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

fof(dt_l1_vectsp_1,axiom,(
    ! [A] : 
      ( l1_vectsp_1(A)
     => l1_group_1(A) ) ),
    file(vectsp_1,l1_vectsp_1),
    []).

fof(dt_l2_struct_0,axiom,(
    ! [A] : 
      ( l2_struct_0(A)
     => l1_struct_0(A) ) ),
    file(struct_0,l2_struct_0),
    []).

fof(dt_l2_vectsp_1,axiom,(
    ! [A] : 
      ( l2_vectsp_1(A)
     => ( l1_vectsp_1(A)
        & l2_struct_0(A) ) ) ),
    file(vectsp_1,l2_vectsp_1),
    []).

fof(dt_l3_vectsp_1,axiom,(
    ! [A] : 
      ( l3_vectsp_1(A)
     => ( l1_rlvect_1(A)
        & l2_vectsp_1(A) ) ) ),
    file(vectsp_1,l3_vectsp_1),
    []).

fof(dt_m1_parsp_1,axiom,(
    $true ),
    file(parsp_1,m1_parsp_1),
    []).

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

fof(dt_u1_parsp_1,axiom,(
    ! [A] : 
      ( l1_parsp_1(A)
     => m1_parsp_1(u1_parsp_1(A),u1_struct_0(A)) ) ),
    file(parsp_1,u1_parsp_1),
    []).

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

fof(existence_l1_group_1,axiom,(
    ? [A] : l1_group_1(A) ),
    file(group_1,l1_group_1),
    []).

fof(existence_l1_parsp_1,axiom,(
    ? [A] : l1_parsp_1(A) ),
    file(parsp_1,l1_parsp_1),
    []).

fof(existence_l1_rlvect_1,axiom,(
    ? [A] : l1_rlvect_1(A) ),
    file(rlvect_1,l1_rlvect_1),
    []).

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

fof(existence_l1_vectsp_1,axiom,(
    ? [A] : l1_vectsp_1(A) ),
    file(vectsp_1,l1_vectsp_1),
    []).

fof(existence_l2_struct_0,axiom,(
    ? [A] : l2_struct_0(A) ),
    file(struct_0,l2_struct_0),
    []).

fof(existence_l2_vectsp_1,axiom,(
    ? [A] : l2_vectsp_1(A) ),
    file(vectsp_1,l2_vectsp_1),
    []).

fof(existence_l3_vectsp_1,axiom,(
    ? [A] : l3_vectsp_1(A) ),
    file(vectsp_1,l3_vectsp_1),
    []).

fof(existence_m1_parsp_1,axiom,(
    ! [A] : 
    ? [B] : m1_parsp_1(B,A) ),
    file(parsp_1,m1_parsp_1),
    []).

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

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(fc3_parsp_1,axiom,(
    ! [A] : 
      ( ( ~ v3_struct_0(A)
        & v3_rlvect_1(A)
        & v4_rlvect_1(A)
        & v5_rlvect_1(A)
        & v6_rlvect_1(A)
        & v4_group_1(A)
        & v7_group_1(A)
        & v7_vectsp_1(A)
        & v8_vectsp_1(A)
        & v9_vectsp_1(A)
        & ~ v10_vectsp_1(A)
        & l3_vectsp_1(A) )
     => ( ~ v3_struct_0(k9_parsp_1(A))
        & v1_parsp_1(k9_parsp_1(A)) ) ) ),
    file(parsp_1,fc3_parsp_1),
    []).

fof(free_g1_parsp_1,axiom,(
    ! [A,B] : 
      ( m1_parsp_1(B,A)
     => ! [C,D] : 
          ( g1_parsp_1(A,B) = g1_parsp_1(C,D)
         => ( A = C
            & B = D ) ) ) ),
    file(parsp_1,g1_parsp_1),
    []).

fof(l15_parsp_2,axiom,(
    ! [A] : 
      ( ( ~ v3_struct_0(A)
        & v3_rlvect_1(A)
        & v4_rlvect_1(A)
        & v5_rlvect_1(A)
        & v6_rlvect_1(A)
        & v4_group_1(A)
        & v7_group_1(A)
        & v7_vectsp_1(A)
        & v8_vectsp_1(A)
        & v9_vectsp_1(A)
        & ~ v10_vectsp_1(A)
        & l3_vectsp_1(A) )
     => ! [B] : 
          ( m1_subset_1(B,u1_struct_0(A))
         => ! [C] : 
              ( m1_subset_1(C,u1_struct_0(A))
             => ! [D] : 
                  ( m1_subset_1(D,u1_struct_0(A))
                 => ! [E] : 
                      ( m1_subset_1(E,u1_struct_0(A))
                     => ! [F] : 
                          ( m1_subset_1(F,u1_struct_0(A))
                         => ! [G] : 
                              ( m1_subset_1(G,u1_struct_0(A))
                             => ( ( B = k6_rlvect_1(A,k4_rlvect_1(A,C,D),E)
                                  & F = k6_rlvect_1(A,k4_rlvect_1(A,C,G),E) )
                               => k10_group_1(A,k2_group_1(A),k6_rlvect_1(A,D,G)) = k6_rlvect_1(A,B,F) ) ) ) ) ) ) ) ) ),
    file(parsp_2,l15_parsp_2),
    []).

fof(rc1_parsp_1,axiom,(
    ? [A] : 
      ( l1_parsp_1(A)
      & v1_parsp_1(A) ) ),
    file(parsp_1,rc1_parsp_1),
    []).

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

fof(rc2_parsp_1,axiom,(
    ? [A] : 
      ( l1_parsp_1(A)
      & ~ v3_struct_0(A) ) ),
    file(parsp_1,rc2_parsp_1),
    []).

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

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

fof(rc4_struct_0,axiom,(
    ? [A] : 
      ( l2_struct_0(A)
      & ~ v3_struct_0(A) ) ),
    file(struct_0,rc4_struct_0),
    []).

fof(rc8_vectsp_1,axiom,(
    ? [A] : 
      ( l1_group_1(A)
      & ~ v3_struct_0(A)
      & v4_group_1(A)
      & v7_group_1(A) ) ),
    file(vectsp_1,rc8_vectsp_1),
    []).

fof(rc9_vectsp_1,axiom,(
    ? [A] : 
      ( l1_vectsp_1(A)
      & ~ v3_struct_0(A)
      & v2_group_1(A)
      & v4_group_1(A)
      & v7_group_1(A)
      & v6_vectsp_1(A)
      & v8_vectsp_1(A) ) ),
    file(vectsp_1,rc9_vectsp_1),
    []).

fof(redefinition_k10_group_1,axiom,(
    ! [A,B,C] : 
      ( ( ~ v3_struct_0(A)
        & v7_group_1(A)
        & l1_group_1(A)
        & m1_subset_1(B,u1_struct_0(A))
        & m1_subset_1(C,u1_struct_0(A)) )
     => k10_group_1(A,B,C) = k1_group_1(A,B,C) ) ),
    file(group_1,k10_group_1),
    []).

fof(redefinition_k4_rlvect_1,axiom,(
    ! [A,B,C] : 
      ( ( ~ v3_struct_0(A)
        & v3_rlvect_1(A)
        & l1_rlvect_1(A)
        & m1_subset_1(B,u1_struct_0(A))
        & m1_subset_1(C,u1_struct_0(A)) )
     => k4_rlvect_1(A,B,C) = k2_rlvect_1(A,B,C) ) ),
    file(rlvect_1,k4_rlvect_1),
    []).

fof(redefinition_k5_domain_1,axiom,(
    ! [A,B,C,D,E,F,G,H] : 
      ( ( ~ v1_xboole_0(A)
        & ~ v1_xboole_0(B)
        & ~ v1_xboole_0(C)
        & ~ v1_xboole_0(D)
        & m1_subset_1(E,A)
        & m1_subset_1(F,B)
        & m1_subset_1(G,C)
        & m1_subset_1(H,D) )
     => k5_domain_1(A,B,C,D,E,F,G,H) = k4_mcart_1(E,F,G,H) ) ),
    file(domain_1,k5_domain_1),
    []).

fof(t2_parsp_2,axiom,(
    ! [A] : 
      ( ( ~ v3_struct_0(A)
        & v3_rlvect_1(A)
        & v4_rlvect_1(A)
        & v5_rlvect_1(A)
        & v6_rlvect_1(A)
        & v4_group_1(A)
        & v7_group_1(A)
        & v7_vectsp_1(A)
        & v8_vectsp_1(A)
        & v9_vectsp_1(A)
        & ~ v10_vectsp_1(A)
        & l3_vectsp_1(A) )
     => ! [B] : 
          ( m1_subset_1(B,u1_struct_0(k9_parsp_1(A)))
         => ! [C] : 
              ( m1_subset_1(C,u1_struct_0(k9_parsp_1(A)))
             => ! [D] : 
                  ( m1_subset_1(D,u1_struct_0(k9_parsp_1(A)))
                 => ! [E] : 
                      ( m1_subset_1(E,u1_struct_0(k9_parsp_1(A)))
                     => ( r1_parsp_1(k9_parsp_1(A),B,C,D,E)
                      <=> ? [F] : 
                            ( m1_subset_1(F,k3_zfmisc_1(u1_struct_0(A),u1_struct_0(A),u1_struct_0(A)))
                            & ? [G] : 
                                ( m1_subset_1(G,k3_zfmisc_1(u1_struct_0(A),u1_struct_0(A),u1_struct_0(A)))
                                & ? [H] : 
                                    ( m1_subset_1(H,k3_zfmisc_1(u1_struct_0(A),u1_struct_0(A),u1_struct_0(A)))
                                    & ? [I] : 
                                        ( m1_subset_1(I,k3_zfmisc_1(u1_struct_0(A),u1_struct_0(A),u1_struct_0(A)))
                                        & k5_domain_1(u1_struct_0(k9_parsp_1(A)),u1_struct_0(k9_parsp_1(A)),u1_struct_0(k9_parsp_1(A)),u1_struct_0(k9_parsp_1(A)),B,C,D,E) = k4_mcart_1(F,G,H,I)
                                        & ~ ( ! [J] : 
                                                ( m1_subset_1(J,u1_struct_0(A))
                                               => ~ ( k10_group_1(A,J,k6_rlvect_1(A,k5_mcart_1(u1_struct_0(A),u1_struct_0(A),u1_struct_0(A),F),k5_mcart_1(u1_struct_0(A),u1_struct_0(A),u1_struct_0(A),G))) = k6_rlvect_1(A,k5_mcart_1(u1_struct_0(A),u1_struct_0(A),u1_struct_0(A),H),k5_mcart_1(u1_struct_0(A),u1_struct_0(A),u1_struct_0(A),I))
                                                    & k10_group_1(A,J,k6_rlvect_1(A,k6_mcart_1(u1_struct_0(A),u1_struct_0(A),u1_struct_0(A),F),k6_mcart_1(u1_struct_0(A),u1_struct_0(A),u1_struct_0(A),G))) = k6_rlvect_1(A,k6_mcart_1(u1_struct_0(A),u1_struct_0(A),u1_struct_0(A),H),k6_mcart_1(u1_struct_0(A),u1_struct_0(A),u1_struct_0(A),I))
                                                    & k10_group_1(A,J,k6_rlvect_1(A,k7_mcart_1(u1_struct_0(A),u1_struct_0(A),u1_struct_0(A),F),k7_mcart_1(u1_struct_0(A),u1_struct_0(A),u1_struct_0(A),G))) = k6_rlvect_1(A,k7_mcart_1(u1_struct_0(A),u1_struct_0(A),u1_struct_0(A),H),k7_mcart_1(u1_struct_0(A),u1_struct_0(A),u1_struct_0(A),I)) ) )
                                            & ~ ( k6_rlvect_1(A,k5_mcart_1(u1_struct_0(A),u1_struct_0(A),u1_struct_0(A),F),k5_mcart_1(u1_struct_0(A),u1_struct_0(A),u1_struct_0(A),G)) = k1_rlvect_1(A)
                                                & k6_rlvect_1(A,k6_mcart_1(u1_struct_0(A),u1_struct_0(A),u1_struct_0(A),F),k6_mcart_1(u1_struct_0(A),u1_struct_0(A),u1_struct_0(A),G)) = k1_rlvect_1(A)
                                                & k6_rlvect_1(A,k7_mcart_1(u1_struct_0(A),u1_struct_0(A),u1_struct_0(A),F),k7_mcart_1(u1_struct_0(A),u1_struct_0(A),u1_struct_0(A),G)) = k1_rlvect_1(A) ) ) ) ) ) ) ) ) ) ) ) ) ),
    file(parsp_2,t2_parsp_2),
    []).

fof(t33_mcart_1,axiom,(
    ! [A,B,C,D,E,F,G,H] : 
      ( k4_mcart_1(A,B,C,D) = k4_mcart_1(E,F,G,H)
     => ( A = E
        & B = F
        & C = G
        & D = H ) ) ),
    file(mcart_1,t33_mcart_1),
    []).

fof(t5_parsp_2,axiom,(
    ! [A] : 
      ( ( ~ v3_struct_0(A)
        & v3_rlvect_1(A)
        & v4_rlvect_1(A)
        & v5_rlvect_1(A)
        & v6_rlvect_1(A)
        & v4_group_1(A)
        & v7_group_1(A)
        & v7_vectsp_1(A)
        & v8_vectsp_1(A)
        & v9_vectsp_1(A)
        & ~ v10_vectsp_1(A)
        & l3_vectsp_1(A) )
     => ! [B] : 
          ( m1_subset_1(B,u1_struct_0(k9_parsp_1(A)))
         => ! [C] : 
              ( m1_subset_1(C,u1_struct_0(k9_parsp_1(A)))
             => ! [D] : 
                  ( m1_subset_1(D,u1_struct_0(k9_parsp_1(A)))
                 => ! [E] : 
                      ( m1_subset_1(E,u1_struct_0(k9_parsp_1(A)))
                     => ! [F] : 
                          ( m1_subset_1(F,k3_zfmisc_1(u1_struct_0(A),u1_struct_0(A),u1_struct_0(A)))
                         => ! [G] : 
                              ( m1_subset_1(G,k3_zfmisc_1(u1_struct_0(A),u1_struct_0(A),u1_struct_0(A)))
                             => ! [H] : 
                                  ( m1_subset_1(H,k3_zfmisc_1(u1_struct_0(A),u1_struct_0(A),u1_struct_0(A)))
                                 => ! [I] : 
                                      ( m1_subset_1(I,k3_zfmisc_1(u1_struct_0(A),u1_struct_0(A),u1_struct_0(A)))
                                     => ( ( r1_parsp_1(k9_parsp_1(A),B,C,D,E)
                                          & r1_parsp_1(k9_parsp_1(A),B,D,C,E)
                                          & k5_domain_1(u1_struct_0(k9_parsp_1(A)),u1_struct_0(k9_parsp_1(A)),u1_struct_0(k9_parsp_1(A)),u1_struct_0(k9_parsp_1(A)),B,C,D,E) = k4_mcart_1(F,G,H,I) )
                                       => ( r1_parsp_1(k9_parsp_1(A),B,C,B,D)
                                          | ( k5_mcart_1(u1_struct_0(A),u1_struct_0(A),u1_struct_0(A),I) = k6_rlvect_1(A,k4_rlvect_1(A,k5_mcart_1(u1_struct_0(A),u1_struct_0(A),u1_struct_0(A),G),k5_mcart_1(u1_struct_0(A),u1_struct_0(A),u1_struct_0(A),H)),k5_mcart_1(u1_struct_0(A),u1_struct_0(A),u1_struct_0(A),F))
                                            & k6_mcart_1(u1_struct_0(A),u1_struct_0(A),u1_struct_0(A),I) = k6_rlvect_1(A,k4_rlvect_1(A,k6_mcart_1(u1_struct_0(A),u1_struct_0(A),u1_struct_0(A),G),k6_mcart_1(u1_struct_0(A),u1_struct_0(A),u1_struct_0(A),H)),k6_mcart_1(u1_struct_0(A),u1_struct_0(A),u1_struct_0(A),F))
                                            & k7_mcart_1(u1_struct_0(A),u1_struct_0(A),u1_struct_0(A),I) = k6_rlvect_1(A,k4_rlvect_1(A,k7_mcart_1(u1_struct_0(A),u1_struct_0(A),u1_struct_0(A),G),k7_mcart_1(u1_struct_0(A),u1_struct_0(A),u1_struct_0(A),H)),k7_mcart_1(u1_struct_0(A),u1_struct_0(A),u1_struct_0(A),F)) ) ) ) ) ) ) ) ) ) ) ) ) ),
    file(parsp_2,t5_parsp_2),
    []).