% Mizar problem: t20_osafree,osafree,2311,61 
fof(t20_osafree,conjecture,(
    ! [A] : 
      ( ( ~ v3_struct_0(A)
        & ~ v2_msualg_1(A)
        & v4_osalg_1(A)
        & v5_osalg_1(A)
        & v2_osalg_4(A)
        & l3_osalg_1(A) )
     => ! [B] : 
          ( ( v2_relat_1(B)
            & m1_pboole(B,u1_struct_0(A)) )
         => ! [C] : 
              ( m1_dtconstr(C,u1_struct_0(k2_osafree(A,B)),k5_trees_3(u1_struct_0(k2_osafree(A,B))),k4_dtconstr(k2_osafree(A,B)))
             => ( ! [D] : 
                    ( m1_subset_1(D,u1_struct_0(A))
                   => ( r2_hidden(C,k1_funct_1(u4_msualg_1(A,k8_osafree(A,B)),D))
                    <=> r2_hidden(k4_tarski(C,D),k8_funct_2(k4_dtconstr(k2_osafree(A,B)),k1_zfmisc_1(k2_zfmisc_1(k4_dtconstr(k2_osafree(A,B)),u1_struct_0(A))),k19_osafree(A,B),C)) ) )
                & ! [D] : 
                    ( m1_subset_1(D,u1_struct_0(A))
                   => ! [E] : 
                        ( m1_dtconstr(E,u1_struct_0(k2_osafree(A,B)),k5_trees_3(u1_struct_0(k2_osafree(A,B))),k4_dtconstr(k2_osafree(A,B)))
                       => ( r2_hidden(k4_tarski(E,D),k8_funct_2(k4_dtconstr(k2_osafree(A,B)),k1_zfmisc_1(k2_zfmisc_1(k4_dtconstr(k2_osafree(A,B)),u1_struct_0(A))),k19_osafree(A,B),C))
                         => r2_hidden(k4_tarski(C,D),k8_funct_2(k4_dtconstr(k2_osafree(A,B)),k1_zfmisc_1(k2_zfmisc_1(k4_dtconstr(k2_osafree(A,B)),u1_struct_0(A))),k19_osafree(A,B),E)) ) ) ) ) ) ) ) ),
    inference(mizar_bg_added,[status(thm)],[abstractness_v1_lang1,abstractness_v4_msualg_1,antisymmetry_r2_hidden,cc10_trees_3,cc1_dtconstr,cc1_msualg_1,cc1_msualg_9,cc1_nat_1,cc1_osalg_1,cc1_pboole,cc1_relset_1,cc1_trees_4,cc2_dtconstr,cc2_msualg_1,cc2_nat_1,cc2_pboole,cc3_nat_1,cc3_pboole,cc4_trees_3,cc5_trees_3,cc6_trees_3,commutativity_k2_tarski,commutativity_k2_xboole_0,d11_osafree,d18_osalg_1,d1_funct_2,d20_osafree,d21_osafree,d22_osafree,d4_finseq_1,d5_osafree,d5_tarski,d6_osafree,dt_g1_lang1,dt_g3_msualg_1,dt_k12_trees_4,dt_k13_finseq_1,dt_k15_lang1,dt_k16_trees_3,dt_k17_osafree,dt_k18_osafree,dt_k19_osafree,dt_k1_card_1,dt_k1_dtconstr,dt_k1_funct_1,dt_k1_msualg_1,dt_k1_numbers,dt_k1_osafree,dt_k1_osalg_1,dt_k1_relat_1,dt_k1_tarski,dt_k1_trees_4,dt_k1_xboole_0,dt_k1_zfmisc_1,dt_k2_card_3,dt_k2_msualg_1,dt_k2_osafree,dt_k2_relat_1,dt_k2_tarski,dt_k2_trees_4,dt_k2_xboole_0,dt_k2_zfmisc_1,dt_k3_card_3,dt_k3_finseq_1,dt_k3_finseq_2,dt_k3_msafree,dt_k3_msualg_1,dt_k3_osafree,dt_k4_dtconstr,dt_k4_finseq_1,dt_k4_finseq_4,dt_k4_msualg_1,dt_k4_relset_1,dt_k4_tarski,dt_k4_trees_4,dt_k5_lang1,dt_k5_msualg_1,dt_k5_numbers,dt_k5_ordinal2,dt_k5_osafree,dt_k5_relat_1,dt_k5_trees_3,dt_k6_dtconstr,dt_k6_lang1,dt_k6_pboole,dt_k7_dtconstr,dt_k7_osafree,dt_k7_pboole,dt_k8_dtconstr,dt_k8_funct_2,dt_k8_osafree,dt_k8_pboole,dt_k9_osafree,dt_l1_lang1,dt_l1_msualg_1,dt_l1_orders_2,dt_l1_osalg_1,dt_l1_struct_0,dt_l2_msualg_1,dt_l2_osalg_1,dt_l3_msualg_1,dt_l3_osalg_1,dt_m1_dtconstr,dt_m1_finseq_1,dt_m1_finseq_2,dt_m1_pboole,dt_m1_relset_1,dt_m1_struct_0,dt_m1_subset_1,dt_m1_trees_4,dt_m2_finseq_1,dt_m2_finseq_2,dt_m2_relset_1,dt_m2_subset_1,dt_m3_pboole,dt_m3_trees_2,dt_m4_trees_3,dt_m5_trees_3,dt_u1_lang1,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_lang1,existence_l1_msualg_1,existence_l1_orders_2,existence_l1_osalg_1,existence_l1_struct_0,existence_l2_msualg_1,existence_l2_osalg_1,existence_l3_msualg_1,existence_l3_osalg_1,existence_m1_dtconstr,existence_m1_finseq_1,existence_m1_finseq_2,existence_m1_pboole,existence_m1_relset_1,existence_m1_struct_0,existence_m1_subset_1,existence_m1_trees_4,existence_m2_finseq_1,existence_m2_finseq_2,existence_m2_relset_1,existence_m2_subset_1,existence_m3_pboole,existence_m3_trees_2,existence_m4_trees_3,existence_m5_trees_3,fc1_dtconstr,fc1_msafree,fc1_msualg_1,fc1_ordinal2,fc1_osafree,fc1_osalg_1,fc1_pboole,fc1_struct_0,fc1_subset_1,fc1_xboole_0,fc22_trees_3,fc26_trees_3,fc2_dtconstr,fc2_msafree,fc2_osafree,fc2_pboole,fc2_subset_1,fc2_xboole_0,fc3_dtconstr,fc3_msafree,fc3_subset_1,fc3_xboole_0,fc4_osafree,fc4_subset_1,fc5_osafree,fc6_osafree,fc6_trees_3,fc7_funcop_1,fc8_funcop_1,fraenkel_a_3_0_osafree,fraenkel_a_3_5_osafree,fraenkel_a_3_6_osafree,fraenkel_a_3_7_osafree,fraenkel_a_4_2_osafree,fraenkel_a_4_3_osafree,fraenkel_a_4_4_osafree,free_g1_lang1,free_g3_msualg_1,idempotence_k2_xboole_0,rc10_osalg_1,rc11_osalg_1,rc12_osalg_1,rc1_dtconstr,rc1_funcop_1,rc1_nat_1,rc1_pboole,rc1_subset_1,rc1_xboole_0,rc2_nat_1,rc2_partfun1,rc2_pboole,rc2_subset_1,rc2_trees_3,rc2_xboole_0,rc3_nat_1,rc3_pboole,rc3_struct_0,rc4_pboole,rc4_trees_3,rc5_msualg_1,rc5_osalg_1,rc5_osalg_4,rc5_struct_0,rc6_msualg_1,rc6_osalg_4,rc6_trees_3,rc8_trees_3,redefinition_k12_trees_4,redefinition_k15_lang1,redefinition_k1_dtconstr,redefinition_k1_osalg_1,redefinition_k2_trees_4,redefinition_k3_finseq_1,redefinition_k3_finseq_2,redefinition_k3_msafree,redefinition_k4_finseq_1,redefinition_k4_relset_1,redefinition_k5_numbers,redefinition_k6_dtconstr,redefinition_k7_dtconstr,redefinition_k7_pboole,redefinition_k8_dtconstr,redefinition_k8_funct_2,redefinition_k8_pboole,redefinition_k9_osafree,redefinition_m1_dtconstr,redefinition_m1_struct_0,redefinition_m1_trees_4,redefinition_m2_finseq_1,redefinition_m2_finseq_2,redefinition_m2_relset_1,redefinition_m2_subset_1,redefinition_m5_trees_3,redefinition_r3_orders_2,reflexivity_r1_osalg_1,reflexivity_r1_tarski,reflexivity_r3_orders_2,s7_dtconstr__e5_50__osafree,symmetry_r1_osalg_1,t10_osafree,t12_funct_1,t12_osafree,t13_osafree,t19_msualg_9,t1_boole,t1_subset,t22_funct_1,t23_funct_1,t2_msualg_6,t2_subset,t2_tarski,t31_finseq_3,t33_finseq_2,t33_zfmisc_1,t3_subset,t4_osafree,t4_subset,t5_subset,t6_boole,t6_msualg_3,t7_boole,t8_boole,t9_osafree]),
    [file(osafree,t20_osafree)]).

fof(abstractness_v1_lang1,axiom,(
    ! [A] : 
      ( l1_lang1(A)
     => ( v1_lang1(A)
       => A = g1_lang1(u1_struct_0(A),u1_lang1(A)) ) ) ),
    file(lang1,v1_lang1),
    []).

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(cc10_trees_3,axiom,(
    ! [A] : 
      ( ( ~ v1_xboole_0(A)
        & v3_trees_3(A) )
     => ! [B] : 
          ( m1_finseq_1(B,A)
         => v6_trees_3(B) ) ) ),
    file(trees_3,cc10_trees_3),
    []).

fof(cc1_dtconstr,axiom,(
    ! [A,B] : 
      ( m1_subset_1(B,k3_finseq_2(A))
     => v1_finseq_1(B) ) ),
    file(dtconstr,cc1_dtconstr),
    []).

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_9,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)
        & m1_subset_1(C,u1_msualg_1(A)) )
     => ! [D] : 
          ( m1_subset_1(D,k3_msualg_1(A,C,B))
         => ( v1_relat_1(D)
            & v1_funct_1(D)
            & v1_finseq_1(D) ) ) ) ),
    file(msualg_9,cc1_msualg_9),
    []).

fof(cc1_nat_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) ) ) ),
    file(nat_1,cc1_nat_1),
    []).

fof(cc1_osalg_1,axiom,(
    ! [A] : 
      ( l3_osalg_1(A)
     => ( v4_osalg_1(A)
       => ( v2_orders_2(A)
          & v3_orders_2(A)
          & v4_orders_2(A) ) ) ) ),
    file(osalg_1,cc1_osalg_1),
    []).

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(cc1_trees_4,axiom,(
    ! [A,B] : 
      ( ( ~ v1_xboole_0(A)
        & v3_trees_3(A)
        & m1_subset_1(B,k1_zfmisc_1(A)) )
     => ! [C] : 
          ( m1_finseq_1(C,B)
         => v6_trees_3(C) ) ) ),
    file(trees_4,cc1_trees_4),
    []).

fof(cc2_dtconstr,axiom,(
    ! [A,B] : 
      ( ( ~ v1_xboole_0(A)
        & m4_trees_3(B,A) )
     => ! [C] : 
          ( m1_finseq_1(C,B)
         => v6_trees_3(C) ) ) ),
    file(dtconstr,cc2_dtconstr),
    []).

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_nat_1,axiom,(
    ! [A] : 
      ( m1_subset_1(A,k5_numbers)
     => ( v1_ordinal1(A)
        & v2_ordinal1(A)
        & v3_ordinal1(A)
        & v4_ordinal2(A)
        & v1_xcmplx_0(A)
        & v1_xreal_0(A)
        & ~ v3_xreal_0(A) ) ) ),
    file(nat_1,cc2_nat_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_nat_1,axiom,(
    ! [A] : 
      ( v4_ordinal2(A)
     => ( v4_ordinal2(A)
        & v1_xcmplx_0(A)
        & v1_xreal_0(A)
        & ~ v3_xreal_0(A) ) ) ),
    file(nat_1,cc3_nat_1),
    []).

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_trees_3,axiom,(
    ! [A] : 
      ( v3_trees_3(A)
     => ! [B] : 
          ( m1_subset_1(B,k1_zfmisc_1(A))
         => v3_trees_3(B) ) ) ),
    file(trees_3,cc4_trees_3),
    []).

fof(cc5_trees_3,axiom,(
    ! [A] : 
      ( ~ v1_xboole_0(A)
     => ! [B] : 
          ( m4_trees_3(B,A)
         => v3_trees_3(B) ) ) ),
    file(trees_3,cc5_trees_3),
    []).

fof(cc6_trees_3,axiom,(
    ! [A,B] : 
      ( ( ~ v1_xboole_0(A)
        & v1_trees_1(A)
        & ~ v1_xboole_0(B) )
     => ! [C] : 
          ( m1_relset_1(C,A,B)
         => ( ( v1_funct_1(C)
              & v1_funct_2(C,A,B) )
           => ( v1_funct_1(C)
              & v1_funct_2(C,A,B)
              & v3_trees_2(C) ) ) ) ) ),
    file(trees_3,cc6_trees_3),
    []).

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(d11_osafree,axiom,(
    ! [A] : 
      ( ( ~ v3_struct_0(A)
        & ~ v2_msualg_1(A)
        & v4_osalg_1(A)
        & v5_osalg_1(A)
        & l3_osalg_1(A) )
     => ! [B] : 
          ( ( v2_relat_1(B)
            & m1_pboole(B,u1_struct_0(A)) )
         => k8_osafree(A,B) = g3_msualg_1(A,k5_osafree(A,B),k7_osafree(A,B)) ) ) ),
    file(osafree,d11_osafree),
    []).

fof(d18_osalg_1,axiom,(
    ! [A] : 
      ( ( ~ v3_struct_0(A)
        & v2_orders_2(A)
        & v3_orders_2(A)
        & v4_orders_2(A)
        & l1_orders_2(A) )
     => ! [B] : 
          ( m1_pboole(B,u1_struct_0(A))
         => ( v11_osalg_1(B,A)
          <=> ! [C] : 
                ( m1_subset_1(C,u1_struct_0(A))
               => ! [D] : 
                    ( m1_subset_1(D,u1_struct_0(A))
                   => ( r3_orders_2(A,C,D)
                     => r1_tarski(k1_funct_1(B,C),k1_funct_1(B,D)) ) ) ) ) ) ) ),
    file(osalg_1,d18_osalg_1),
    []).

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(d20_osafree,axiom,(
    ! [A] : 
      ( ( ~ v3_struct_0(A)
        & ~ v2_msualg_1(A)
        & v4_osalg_1(A)
        & v5_osalg_1(A)
        & l3_osalg_1(A) )
     => ! [B] : 
          ( ( v2_relat_1(B)
            & m1_pboole(B,u1_struct_0(A)) )
         => ! [C] : 
              ( m1_subset_1(C,u1_struct_0(k2_osafree(A,B)))
             => k17_osafree(A,B,C) = a_3_5_osafree(A,B,C) ) ) ) ),
    file(osafree,d20_osafree),
    []).

fof(d21_osafree,axiom,(
    ! [A] : 
      ( ( ~ v3_struct_0(A)
        & ~ v2_msualg_1(A)
        & v4_osalg_1(A)
        & v5_osalg_1(A)
        & l3_osalg_1(A) )
     => ! [B] : 
          ( ( v2_relat_1(B)
            & m1_pboole(B,u1_struct_0(A)) )
         => ! [C] : 
              ( m1_subset_1(C,u1_struct_0(k2_osafree(A,B)))
             => ! [D] : 
                  ( m2_finseq_1(D,k1_zfmisc_1(k2_zfmisc_1(k4_dtconstr(k2_osafree(A,B)),u1_struct_0(A))))
                 => k18_osafree(A,B,C,D) = a_4_2_osafree(A,B,C,D) ) ) ) ) ),
    file(osafree,d21_osafree),
    []).

fof(d22_osafree,axiom,(
    ! [A] : 
      ( ( ~ v3_struct_0(A)
        & ~ v2_msualg_1(A)
        & v4_osalg_1(A)
        & v5_osalg_1(A)
        & v2_osalg_4(A)
        & l3_osalg_1(A) )
     => ! [B] : 
          ( ( v2_relat_1(B)
            & m1_pboole(B,u1_struct_0(A)) )
         => ! [C] : 
              ( ( v1_funct_1(C)
                & v1_funct_2(C,k4_dtconstr(k2_osafree(A,B)),k1_zfmisc_1(k2_zfmisc_1(k4_dtconstr(k2_osafree(A,B)),u1_struct_0(A))))
                & m2_relset_1(C,k4_dtconstr(k2_osafree(A,B)),k1_zfmisc_1(k2_zfmisc_1(k4_dtconstr(k2_osafree(A,B)),u1_struct_0(A)))) )
             => ( C = k19_osafree(A,B)
              <=> ( ! [D] : 
                      ( m1_subset_1(D,u1_struct_0(k2_osafree(A,B)))
                     => ( r2_hidden(D,k6_dtconstr(k2_osafree(A,B)))
                       => k1_funct_1(C,k2_trees_4(u1_struct_0(k2_osafree(A,B)),D)) = k17_osafree(A,B,D) ) )
                  & ! [D] : 
                      ( m1_subset_1(D,u1_struct_0(k2_osafree(A,B)))
                     => ! [E] : 
                          ( m1_trees_4(E,k5_trees_3(u1_struct_0(k2_osafree(A,B))),k4_dtconstr(k2_osafree(A,B)))
                         => ( r1_lang1(k2_osafree(A,B),D,k1_dtconstr(u1_struct_0(k2_osafree(A,B)),k5_trees_3(u1_struct_0(k2_osafree(A,B))),E))
                           => k1_funct_1(C,k12_trees_4(u1_struct_0(k2_osafree(A,B)),D,E)) = k18_osafree(A,B,D,k15_lang1(k4_dtconstr(k2_osafree(A,B)),k1_zfmisc_1(k2_zfmisc_1(k4_dtconstr(k2_osafree(A,B)),u1_struct_0(A))),E,C)) ) ) ) ) ) ) ) ) ),
    file(osafree,d22_osafree),
    []).

fof(d4_finseq_1,axiom,(
    ! [A,B] : 
      ( ( v1_relat_1(B)
        & v1_funct_1(B)
        & v1_finseq_1(B) )
     => ( m1_finseq_1(B,A)
      <=> r1_tarski(k2_relat_1(B),A) ) ) ),
    file(finseq_1,d4_finseq_1),
    []).

fof(d5_osafree,axiom,(
    ! [A] : 
      ( ( ~ v3_struct_0(A)
        & ~ v2_msualg_1(A)
        & v4_osalg_1(A)
        & v5_osalg_1(A)
        & l3_osalg_1(A) )
     => ! [B] : 
          ( m1_pboole(B,u1_struct_0(A))
         => k2_osafree(A,B) = g1_lang1(k2_xboole_0(k2_zfmisc_1(u1_msualg_1(A),k1_tarski(u1_struct_0(A))),k3_card_3(k3_msafree(u1_struct_0(A),B))),k1_osafree(A,B)) ) ) ),
    file(osafree,d5_osafree),
    []).

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

fof(d6_osafree,axiom,(
    ! [A] : 
      ( ( ~ v3_struct_0(A)
        & ~ v2_msualg_1(A)
        & v4_osalg_1(A)
        & v5_osalg_1(A)
        & l3_osalg_1(A) )
     => ! [B] : 
          ( ( v2_relat_1(B)
            & m1_pboole(B,u1_struct_0(A)) )
         => ! [C] : 
              ( m1_subset_1(C,u1_msualg_1(A))
             => k3_osafree(A,B,C) = k4_tarski(C,u1_struct_0(A)) ) ) ) ),
    file(osafree,d6_osafree),
    []).

fof(dt_g1_lang1,axiom,(
    ! [A,B] : 
      ( m1_relset_1(B,A,k3_finseq_2(A))
     => ( v1_lang1(g1_lang1(A,B))
        & l1_lang1(g1_lang1(A,B)) ) ) ),
    file(lang1,g1_lang1),
    []).

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_trees_4,axiom,(
    ! [A,B,C] : 
      ( ( ~ v1_xboole_0(A)
        & m1_subset_1(B,A)
        & m1_finseq_1(C,k5_trees_3(A)) )
     => m5_trees_3(k12_trees_4(A,B,C),A,k5_trees_3(A)) ) ),
    file(trees_4,k12_trees_4),
    []).

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

fof(dt_k15_lang1,axiom,(
    ! [A,B,C,D] : 
      ( ( ~ v1_xboole_0(A)
        & ~ v1_xboole_0(B)
        & m1_finseq_1(C,A)
        & v1_funct_1(D)
        & v1_funct_2(D,A,B)
        & m1_relset_1(D,A,B) )
     => m2_finseq_2(k15_lang1(A,B,C,D),B,k3_finseq_2(B)) ) ),
    file(lang1,k15_lang1),
    []).

fof(dt_k16_trees_3,axiom,(
    ! [A] : 
      ( ( v1_relat_1(A)
        & v1_funct_1(A)
        & v1_finseq_1(A) )
     => ( v1_relat_1(k16_trees_3(A))
        & v1_funct_1(k16_trees_3(A))
        & v1_finseq_1(k16_trees_3(A)) ) ) ),
    file(trees_3,k16_trees_3),
    []).

fof(dt_k17_osafree,axiom,(
    ! [A,B,C] : 
      ( ( ~ v3_struct_0(A)
        & ~ v2_msualg_1(A)
        & v4_osalg_1(A)
        & v5_osalg_1(A)
        & l3_osalg_1(A)
        & v2_relat_1(B)
        & m1_pboole(B,u1_struct_0(A))
        & m1_subset_1(C,u1_struct_0(k2_osafree(A,B))) )
     => m1_subset_1(k17_osafree(A,B,C),k1_zfmisc_1(k2_zfmisc_1(k4_dtconstr(k2_osafree(A,B)),u1_struct_0(A)))) ) ),
    file(osafree,k17_osafree),
    []).

fof(dt_k18_osafree,axiom,(
    ! [A,B,C,D] : 
      ( ( ~ v3_struct_0(A)
        & ~ v2_msualg_1(A)
        & v4_osalg_1(A)
        & v5_osalg_1(A)
        & l3_osalg_1(A)
        & v2_relat_1(B)
        & m1_pboole(B,u1_struct_0(A))
        & m1_subset_1(C,u1_struct_0(k2_osafree(A,B)))
        & m1_finseq_1(D,k1_zfmisc_1(k2_zfmisc_1(k4_dtconstr(k2_osafree(A,B)),u1_struct_0(A)))) )
     => m1_subset_1(k18_osafree(A,B,C,D),k1_zfmisc_1(k2_zfmisc_1(k4_dtconstr(k2_osafree(A,B)),u1_struct_0(A)))) ) ),
    file(osafree,k18_osafree),
    []).

fof(dt_k19_osafree,axiom,(
    ! [A,B] : 
      ( ( ~ v3_struct_0(A)
        & ~ v2_msualg_1(A)
        & v4_osalg_1(A)
        & v5_osalg_1(A)
        & v2_osalg_4(A)
        & l3_osalg_1(A)
        & v2_relat_1(B)
        & m1_pboole(B,u1_struct_0(A)) )
     => ( v1_funct_1(k19_osafree(A,B))
        & v1_funct_2(k19_osafree(A,B),k4_dtconstr(k2_osafree(A,B)),k1_zfmisc_1(k2_zfmisc_1(k4_dtconstr(k2_osafree(A,B)),u1_struct_0(A))))
        & m2_relset_1(k19_osafree(A,B),k4_dtconstr(k2_osafree(A,B)),k1_zfmisc_1(k2_zfmisc_1(k4_dtconstr(k2_osafree(A,B)),u1_struct_0(A)))) ) ) ),
    file(osafree,k19_osafree),
    []).

fof(dt_k1_card_1,axiom,(
    ! [A] : v1_card_1(k1_card_1(A)) ),
    file(card_1,k1_card_1),
    []).

fof(dt_k1_dtconstr,axiom,(
    ! [A,B,C] : 
      ( ( ~ v1_xboole_0(A)
        & m4_trees_3(B,A)
        & m1_finseq_1(C,B) )
     => m2_finseq_1(k1_dtconstr(A,B,C),A) ) ),
    file(dtconstr,k1_dtconstr),
    []).

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

fof(dt_k1_msualg_1,axiom,(
    ! [A,B] : 
      ( ( ~ v3_struct_0(A)
        & ~ v2_msualg_1(A)
        & l1_msualg_1(A)
        & m1_subset_1(B,u1_msualg_1(A)) )
     => m2_finseq_2(k1_msualg_1(A,B),u1_struct_0(A),k3_finseq_2(u1_struct_0(A))) ) ),
    file(msualg_1,k1_msualg_1),
    []).

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

fof(dt_k1_osafree,axiom,(
    ! [A,B] : 
      ( ( ~ v3_struct_0(A)
        & ~ v2_msualg_1(A)
        & v4_osalg_1(A)
        & v5_osalg_1(A)
        & l3_osalg_1(A)
        & m1_pboole(B,u1_struct_0(A)) )
     => m2_relset_1(k1_osafree(A,B),k2_xboole_0(k2_zfmisc_1(u1_msualg_1(A),k1_tarski(u1_struct_0(A))),k3_card_3(k3_msafree(u1_struct_0(A),B))),k3_finseq_2(k2_xboole_0(k2_zfmisc_1(u1_msualg_1(A),k1_tarski(u1_struct_0(A))),k3_card_3(k3_msafree(u1_struct_0(A),B))))) ) ),
    file(osafree,k1_osafree),
    []).

fof(dt_k1_osalg_1,axiom,(
    ! [A,B] : 
      ( ( ~ v3_struct_0(A)
        & ~ v2_msualg_1(A)
        & l1_msualg_1(A)
        & m1_subset_1(B,u1_msualg_1(A)) )
     => m1_subset_1(k1_osalg_1(A,B),u1_struct_0(A)) ) ),
    file(osalg_1,k1_osalg_1),
    []).

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

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

fof(dt_k1_trees_4,axiom,(
    ! [A] : 
      ( v1_relat_1(k1_trees_4(A))
      & v1_funct_1(k1_trees_4(A))
      & v3_trees_2(k1_trees_4(A)) ) ),
    file(trees_4,k1_trees_4),
    []).

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_card_3,axiom,(
    ! [A] : 
      ( ( v1_relat_1(A)
        & v1_funct_1(A) )
     => ( v1_relat_1(k2_card_3(A))
        & v1_funct_1(k2_card_3(A)) ) ) ),
    file(card_3,k2_card_3),
    []).

fof(dt_k2_msualg_1,axiom,(
    ! [A,B] : 
      ( ( ~ v3_struct_0(A)
        & ~ v2_msualg_1(A)
        & l1_msualg_1(A)
        & m1_subset_1(B,u1_msualg_1(A)) )
     => m1_subset_1(k2_msualg_1(A,B),u1_struct_0(A)) ) ),
    file(msualg_1,k2_msualg_1),
    []).

fof(dt_k2_osafree,axiom,(
    ! [A,B] : 
      ( ( ~ v3_struct_0(A)
        & ~ v2_msualg_1(A)
        & v4_osalg_1(A)
        & v5_osalg_1(A)
        & l3_osalg_1(A)
        & m1_pboole(B,u1_struct_0(A)) )
     => l1_lang1(k2_osafree(A,B)) ) ),
    file(osafree,k2_osafree),
    []).

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

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

fof(dt_k2_trees_4,axiom,(
    ! [A,B] : 
      ( ( ~ v1_xboole_0(A)
        & m1_subset_1(B,A) )
     => m5_trees_3(k2_trees_4(A,B),A,k5_trees_3(A)) ) ),
    file(trees_4,k2_trees_4),
    []).

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

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

fof(dt_k3_card_3,axiom,(
    $true ),
    file(card_3,k3_card_3),
    []).

fof(dt_k3_finseq_1,axiom,(
    ! [A] : 
      ( ( v1_relat_1(A)
        & v1_funct_1(A)
        & v1_finseq_1(A) )
     => m2_subset_1(k3_finseq_1(A),k1_numbers,k5_numbers) ) ),
    file(finseq_1,k3_finseq_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_msafree,axiom,(
    ! [A,B] : 
      ( m1_pboole(B,A)
     => m1_pboole(k3_msafree(A,B),A) ) ),
    file(msafree,k3_msafree),
    []).

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_osafree,axiom,(
    ! [A,B,C] : 
      ( ( ~ v3_struct_0(A)
        & ~ v2_msualg_1(A)
        & v4_osalg_1(A)
        & v5_osalg_1(A)
        & l3_osalg_1(A)
        & v2_relat_1(B)
        & m1_pboole(B,u1_struct_0(A))
        & m1_subset_1(C,u1_msualg_1(A)) )
     => m1_subset_1(k3_osafree(A,B,C),u1_struct_0(k2_osafree(A,B))) ) ),
    file(osafree,k3_osafree),
    []).

fof(dt_k4_dtconstr,axiom,(
    ! [A] : 
      ( ( ~ v3_struct_0(A)
        & l1_lang1(A) )
     => m1_subset_1(k4_dtconstr(A),k1_zfmisc_1(k5_trees_3(u1_struct_0(A)))) ) ),
    file(dtconstr,k4_dtconstr),
    []).

fof(dt_k4_finseq_1,axiom,(
    ! [A] : 
      ( ( v1_relat_1(A)
        & v1_funct_1(A)
        & v1_finseq_1(A) )
     => m1_subset_1(k4_finseq_1(A),k1_zfmisc_1(k5_numbers)) ) ),
    file(finseq_1,k4_finseq_1),
    []).

fof(dt_k4_finseq_4,axiom,(
    ! [A,B,C,D] : 
      ( ( v1_funct_1(C)
        & m1_relset_1(C,A,B) )
     => m1_subset_1(k4_finseq_4(A,B,C,D),B) ) ),
    file(finseq_4,k4_finseq_4),
    []).

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_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_k4_tarski,axiom,(
    $true ),
    file(tarski,k4_tarski),
    []).

fof(dt_k4_trees_4,axiom,(
    ! [A,B] : 
      ( ( v1_relat_1(B)
        & v1_funct_1(B)
        & v1_finseq_1(B) )
     => ( v1_relat_1(k4_trees_4(A,B))
        & v1_funct_1(k4_trees_4(A,B))
        & v3_trees_2(k4_trees_4(A,B)) ) ) ),
    file(trees_4,k4_trees_4),
    []).

fof(dt_k5_lang1,axiom,(
    $true ),
    file(lang1,k5_lang1),
    []).

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_osafree,axiom,(
    ! [A,B] : 
      ( ( ~ v3_struct_0(A)
        & ~ v2_msualg_1(A)
        & v4_osalg_1(A)
        & v5_osalg_1(A)
        & l3_osalg_1(A)
        & v2_relat_1(B)
        & m1_pboole(B,u1_struct_0(A)) )
     => ( v11_osalg_1(k5_osafree(A,B),A)
        & m1_pboole(k5_osafree(A,B),u1_struct_0(A)) ) ) ),
    file(osafree,k5_osafree),
    []).

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_k5_trees_3,axiom,(
    ! [A] : 
      ( ~ v1_xboole_0(A)
     => m4_trees_3(k5_trees_3(A),A) ) ),
    file(trees_3,k5_trees_3),
    []).

fof(dt_k6_dtconstr,axiom,(
    ! [A] : 
      ( ( ~ v3_struct_0(A)
        & v1_dtconstr(A)
        & l1_lang1(A) )
     => ( ~ v1_xboole_0(k6_dtconstr(A))
        & m1_subset_1(k6_dtconstr(A),k1_zfmisc_1(u1_struct_0(A))) ) ) ),
    file(dtconstr,k6_dtconstr),
    []).

fof(dt_k6_lang1,axiom,(
    $true ),
    file(lang1,k6_lang1),
    []).

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_dtconstr,axiom,(
    ! [A] : 
      ( ( ~ v3_struct_0(A)
        & v2_dtconstr(A)
        & l1_lang1(A) )
     => ( ~ v1_xboole_0(k7_dtconstr(A))
        & m1_subset_1(k7_dtconstr(A),k1_zfmisc_1(u1_struct_0(A))) ) ) ),
    file(dtconstr,k7_dtconstr),
    []).

fof(dt_k7_osafree,axiom,(
    ! [A,B] : 
      ( ( ~ v3_struct_0(A)
        & ~ v2_msualg_1(A)
        & v4_osalg_1(A)
        & v5_osalg_1(A)
        & l3_osalg_1(A)
        & v2_relat_1(B)
        & m1_pboole(B,u1_struct_0(A)) )
     => m3_pboole(k7_osafree(A,B),u1_msualg_1(A),k8_pboole(u1_msualg_1(A),k3_finseq_2(u1_struct_0(A)),u2_msualg_1(A),k6_pboole(u1_struct_0(A),k5_osafree(A,B))),k8_pboole(u1_msualg_1(A),u1_struct_0(A),u3_msualg_1(A),k5_osafree(A,B))) ) ),
    file(osafree,k7_osafree),
    []).

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_dtconstr,axiom,(
    ! [A,B] : 
      ( ( ~ v3_struct_0(A)
        & v1_dtconstr(A)
        & l1_lang1(A)
        & m1_subset_1(B,k6_dtconstr(A)) )
     => m1_dtconstr(k8_dtconstr(A,B),u1_struct_0(A),k5_trees_3(u1_struct_0(A)),k4_dtconstr(A)) ) ),
    file(dtconstr,k8_dtconstr),
    []).

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_k8_osafree,axiom,(
    ! [A,B] : 
      ( ( ~ v3_struct_0(A)
        & ~ v2_msualg_1(A)
        & v4_osalg_1(A)
        & v5_osalg_1(A)
        & l3_osalg_1(A)
        & v2_relat_1(B)
        & m1_pboole(B,u1_struct_0(A)) )
     => ( v12_osalg_1(k8_osafree(A,B),A)
        & l3_msualg_1(k8_osafree(A,B),A) ) ) ),
    file(osafree,k8_osafree),
    []).

fof(dt_k8_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)
        & v2_relat_1(D)
        & m1_pboole(D,B) )
     => ( v2_relat_1(k8_pboole(A,B,C,D))
        & m1_pboole(k8_pboole(A,B,C,D),A) ) ) ),
    file(pboole,k8_pboole),
    []).

fof(dt_k9_osafree,axiom,(
    ! [A,B,C] : 
      ( ( ~ v3_struct_0(A)
        & ~ v2_msualg_1(A)
        & v4_osalg_1(A)
        & v5_osalg_1(A)
        & l3_osalg_1(A)
        & v2_relat_1(B)
        & m1_pboole(B,u1_struct_0(A))
        & m1_subset_1(C,u1_msualg_1(A)) )
     => m1_struct_0(k9_osafree(A,B,C),k2_osafree(A,B),k7_dtconstr(k2_osafree(A,B))) ) ),
    file(osafree,k9_osafree),
    []).

fof(dt_l1_lang1,axiom,(
    ! [A] : 
      ( l1_lang1(A)
     => l1_struct_0(A) ) ),
    file(lang1,l1_lang1),
    []).

fof(dt_l1_msualg_1,axiom,(
    ! [A] : 
      ( l1_msualg_1(A)
     => l1_struct_0(A) ) ),
    file(msualg_1,l1_msualg_1),
    []).

fof(dt_l1_orders_2,axiom,(
    ! [A] : 
      ( l1_orders_2(A)
     => l1_struct_0(A) ) ),
    file(orders_2,l1_orders_2),
    []).

fof(dt_l1_osalg_1,axiom,(
    ! [A] : 
      ( l1_osalg_1(A)
     => l1_msualg_1(A) ) ),
    file(osalg_1,l1_osalg_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_l2_osalg_1,axiom,(
    ! [A] : 
      ( l2_osalg_1(A)
     => ( l1_msualg_1(A)
        & l1_orders_2(A) ) ) ),
    file(osalg_1,l2_osalg_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_l3_osalg_1,axiom,(
    ! [A] : 
      ( l3_osalg_1(A)
     => ( l1_osalg_1(A)
        & l2_osalg_1(A) ) ) ),
    file(osalg_1,l3_osalg_1),
    []).

fof(dt_m1_dtconstr,axiom,(
    ! [A,B,C] : 
      ( ( ~ v1_xboole_0(A)
        & ~ v1_xboole_0(B)
        & m4_trees_3(B,A)
        & ~ v1_xboole_0(C)
        & m1_subset_1(C,k1_zfmisc_1(B)) )
     => ! [D] : 
          ( m1_dtconstr(D,A,B,C)
         => m5_trees_3(D,A,B) ) ) ),
    file(dtconstr,m1_dtconstr),
    []).

fof(dt_m1_finseq_1,axiom,(
    ! [A,B] : 
      ( m1_finseq_1(B,A)
     => ( v1_relat_1(B)
        & v1_funct_1(B)
        & v1_finseq_1(B) ) ) ),
    file(finseq_1,m1_finseq_1),
    []).

fof(dt_m1_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_m1_trees_4,axiom,(
    ! [A,B] : 
      ( ( ~ v1_xboole_0(A)
        & m1_subset_1(B,k1_zfmisc_1(A)) )
     => ! [C] : 
          ( m1_trees_4(C,A,B)
         => m2_finseq_1(C,A) ) ) ),
    file(trees_4,m1_trees_4),
    []).

fof(dt_m2_finseq_1,axiom,(
    ! [A,B] : 
      ( m2_finseq_1(B,A)
     => ( v1_funct_1(B)
        & v1_finseq_1(B)
        & m2_relset_1(B,k5_numbers,A) ) ) ),
    file(finseq_1,m2_finseq_1),
    []).

fof(dt_m2_finseq_2,axiom,(
    ! [A,B] : 
      ( ( ~ v1_xboole_0(B)
        & m1_finseq_2(B,A) )
     => ! [C] : 
          ( m2_finseq_2(C,A,B)
         => m2_finseq_1(C,A) ) ) ),
    file(finseq_2,m2_finseq_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_m2_subset_1,axiom,(
    ! [A,B] : 
      ( ( ~ v1_xboole_0(A)
        & ~ v1_xboole_0(B)
        & m1_subset_1(B,k1_zfmisc_1(A)) )
     => ! [C] : 
          ( m2_subset_1(C,A,B)
         => m1_subset_1(C,A) ) ) ),
    file(subset_1,m2_subset_1),
    []).

fof(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_m3_trees_2,axiom,(
    ! [A,B] : 
      ( m3_trees_2(B,A)
     => v1_relat_1(B) ) ),
    file(trees_2,m3_trees_2),
    []).

fof(dt_m4_trees_3,axiom,(
    $true ),
    file(trees_3,m4_trees_3),
    []).

fof(dt_m5_trees_3,axiom,(
    ! [A,B] : 
      ( ( ~ v1_xboole_0(A)
        & ~ v1_xboole_0(B)
        & m4_trees_3(B,A) )
     => ! [C] : 
          ( m5_trees_3(C,A,B)
         => ( v1_funct_1(C)
            & v3_trees_2(C)
            & m3_trees_2(C,A) ) ) ) ),
    file(trees_3,m5_trees_3),
    []).

fof(dt_u1_lang1,axiom,(
    ! [A] : 
      ( l1_lang1(A)
     => m2_relset_1(u1_lang1(A),u1_struct_0(A),k3_finseq_2(u1_struct_0(A))) ) ),
    file(lang1,u1_lang1),
    []).

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_lang1,axiom,(
    ? [A] : l1_lang1(A) ),
    file(lang1,l1_lang1),
    []).

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

fof(existence_l1_orders_2,axiom,(
    ? [A] : l1_orders_2(A) ),
    file(orders_2,l1_orders_2),
    []).

fof(existence_l1_osalg_1,axiom,(
    ? [A] : l1_osalg_1(A) ),
    file(osalg_1,l1_osalg_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_l2_osalg_1,axiom,(
    ? [A] : l2_osalg_1(A) ),
    file(osalg_1,l2_osalg_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_l3_osalg_1,axiom,(
    ? [A] : l3_osalg_1(A) ),
    file(osalg_1,l3_osalg_1),
    []).

fof(existence_m1_dtconstr,axiom,(
    ! [A,B,C] : 
      ( ( ~ v1_xboole_0(A)
        & ~ v1_xboole_0(B)
        & m4_trees_3(B,A)
        & ~ v1_xboole_0(C)
        & m1_subset_1(C,k1_zfmisc_1(B)) )
     => ? [D] : m1_dtconstr(D,A,B,C) ) ),
    file(dtconstr,m1_dtconstr),
    []).

fof(existence_m1_finseq_1,axiom,(
    ! [A] : 
    ? [B] : m1_finseq_1(B,A) ),
    file(finseq_1,m1_finseq_1),
    []).

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_m1_trees_4,axiom,(
    ! [A,B] : 
      ( ( ~ v1_xboole_0(A)
        & m1_subset_1(B,k1_zfmisc_1(A)) )
     => ? [C] : m1_trees_4(C,A,B) ) ),
    file(trees_4,m1_trees_4),
    []).

fof(existence_m2_finseq_1,axiom,(
    ! [A] : 
    ? [B] : m2_finseq_1(B,A) ),
    file(finseq_1,m2_finseq_1),
    []).

fof(existence_m2_finseq_2,axiom,(
    ! [A,B] : 
      ( ( ~ v1_xboole_0(B)
        & m1_finseq_2(B,A) )
     => ? [C] : m2_finseq_2(C,A,B) ) ),
    file(finseq_2,m2_finseq_2),
    []).

fof(existence_m2_relset_1,axiom,(
    ! [A,B] : 
    ? [C] : m2_relset_1(C,A,B) ),
    file(relset_1,m2_relset_1),
    []).

fof(existence_m2_subset_1,axiom,(
    ! [A,B] : 
      ( ( ~ v1_xboole_0(A)
        & ~ v1_xboole_0(B)
        & m1_subset_1(B,k1_zfmisc_1(A)) )
     => ? [C] : m2_subset_1(C,A,B) ) ),
    file(subset_1,m2_subset_1),
    []).

fof(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_m3_trees_2,axiom,(
    ! [A] : 
    ? [B] : m3_trees_2(B,A) ),
    file(trees_2,m3_trees_2),
    []).

fof(existence_m4_trees_3,axiom,(
    ! [A] : 
      ( ~ v1_xboole_0(A)
     => ? [B] : m4_trees_3(B,A) ) ),
    file(trees_3,m4_trees_3),
    []).

fof(existence_m5_trees_3,axiom,(
    ! [A,B] : 
      ( ( ~ v1_xboole_0(A)
        & ~ v1_xboole_0(B)
        & m4_trees_3(B,A) )
     => ? [C] : m5_trees_3(C,A,B) ) ),
    file(trees_3,m5_trees_3),
    []).

fof(fc1_dtconstr,axiom,(
    ! [A,B] : 
      ( ( ~ v1_xboole_0(A)
        & m1_relset_1(B,A,k3_finseq_2(A)) )
     => ( ~ v3_struct_0(g1_lang1(A,B))
        & v1_lang1(g1_lang1(A,B)) ) ) ),
    file(dtconstr,fc1_dtconstr),
    []).

fof(fc1_msafree,axiom,(
    ! [A,B] : 
      ( ( ~ v1_xboole_0(A)
        & v2_relat_1(B)
        & m1_pboole(B,A) )
     => ( v1_relat_1(k2_card_3(B))
        & v2_relat_1(k2_card_3(B))
        & v1_funct_1(k2_card_3(B)) ) ) ),
    file(msafree,fc1_msafree),
    []).

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_ordinal2,axiom,
    ( v1_ordinal1(k5_ordinal2)
    & v2_ordinal1(k5_ordinal2)
    & v3_ordinal1(k5_ordinal2)
    & ~ v1_xboole_0(k5_ordinal2) ),
    file(ordinal2,fc1_ordinal2),
    []).

fof(fc1_osafree,axiom,(
    ! [A,B] : 
      ( ( ~ v3_struct_0(A)
        & ~ v2_msualg_1(A)
        & v4_osalg_1(A)
        & v5_osalg_1(A)
        & l3_osalg_1(A)
        & m1_pboole(B,u1_struct_0(A)) )
     => ( ~ v3_struct_0(k2_osafree(A,B))
        & v1_lang1(k2_osafree(A,B)) ) ) ),
    file(osafree,fc1_osafree),
    []).

fof(fc1_osalg_1,axiom,(
    ! [A,B,C] : 
      ( ( m1_pboole(B,A)
        & m1_finseq_1(C,A) )
     => ( v1_relat_1(k5_relat_1(C,B))
        & v1_funct_1(k5_relat_1(C,B))
        & v1_finseq_1(k5_relat_1(C,B)) ) ) ),
    file(osalg_1,fc1_osalg_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(fc1_xboole_0,axiom,(
    v1_xboole_0(k1_xboole_0) ),
    file(xboole_0,fc1_xboole_0),
    []).

fof(fc22_trees_3,axiom,(
    ! [A,B] : 
      ( ( ~ v1_xboole_0(A)
        & v1_trees_1(A)
        & ~ v1_xboole_0(B)
        & v1_trees_1(B) )
     => ( ~ v1_xboole_0(k2_xboole_0(A,B))
        & v1_trees_1(k2_xboole_0(A,B)) ) ) ),
    file(trees_3,fc22_trees_3),
    []).

fof(fc26_trees_3,axiom,(
    ! [A,B] : 
      ( ( ~ v1_xboole_0(A)
        & m1_subset_1(B,k5_trees_3(A)) )
     => ( ~ v1_xboole_0(k1_relat_1(B))
        & v1_finset_1(k1_relat_1(B))
        & v1_trees_1(k1_relat_1(B)) ) ) ),
    file(trees_3,fc26_trees_3),
    []).

fof(fc2_dtconstr,axiom,(
    ! [A] : 
      ( ( ~ v3_struct_0(A)
        & v1_dtconstr(A)
        & l1_lang1(A) )
     => ( ~ v1_xboole_0(k4_dtconstr(A))
        & v3_trees_3(k4_dtconstr(A)) ) ) ),
    file(dtconstr,fc2_dtconstr),
    []).

fof(fc2_msafree,axiom,(
    ! [A,B] : 
      ( ( ~ v1_xboole_0(A)
        & v2_relat_1(B)
        & m1_pboole(B,A) )
     => ~ v1_xboole_0(k3_card_3(B)) ) ),
    file(msafree,fc2_msafree),
    []).

fof(fc2_osafree,axiom,(
    ! [A,B] : 
      ( ( ~ v3_struct_0(A)
        & ~ v2_msualg_1(A)
        & v4_osalg_1(A)
        & v5_osalg_1(A)
        & l3_osalg_1(A)
        & v2_relat_1(B)
        & m1_pboole(B,u1_struct_0(A)) )
     => ( ~ v3_struct_0(k2_osafree(A,B))
        & v1_lang1(k2_osafree(A,B))
        & v1_dtconstr(k2_osafree(A,B))
        & v2_dtconstr(k2_osafree(A,B))
        & v3_dtconstr(k2_osafree(A,B)) ) ) ),
    file(osafree,fc2_osafree),
    []).

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(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_dtconstr,axiom,(
    ! [A] : 
      ( ( ~ v3_struct_0(A)
        & v3_dtconstr(A)
        & l1_lang1(A) )
     => ( ~ v1_xboole_0(k4_dtconstr(A))
        & v3_trees_3(k4_dtconstr(A)) ) ) ),
    file(dtconstr,fc3_dtconstr),
    []).

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

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

fof(fc4_osafree,axiom,(
    ! [A,B] : 
      ( ( ~ v3_struct_0(A)
        & ~ v2_msualg_1(A)
        & v4_osalg_1(A)
        & v5_osalg_1(A)
        & l3_osalg_1(A)
        & v2_relat_1(B)
        & m1_pboole(B,u1_struct_0(A)) )
     => ( v1_relat_1(k5_osafree(A,B))
        & v2_relat_1(k5_osafree(A,B))
        & ~ v3_relat_1(k5_osafree(A,B))
        & v1_funct_1(k5_osafree(A,B))
        & v11_osalg_1(k5_osafree(A,B),A) ) ) ),
    file(osafree,fc4_osafree),
    []).

fof(fc4_subset_1,axiom,(
    ! [A,B] : 
      ( ( ~ v1_xboole_0(A)
        & ~ v1_xboole_0(B) )
     => ~ v1_xboole_0(k2_zfmisc_1(A,B)) ) ),
    file(subset_1,fc4_subset_1),
    []).

fof(fc5_osafree,axiom,(
    ! [A,B] : 
      ( ( ~ v3_struct_0(A)
        & ~ v2_msualg_1(A)
        & v4_osalg_1(A)
        & v5_osalg_1(A)
        & l3_osalg_1(A)
        & v2_relat_1(B)
        & m1_pboole(B,u1_struct_0(A)) )
     => ( v4_msualg_1(k8_osafree(A,B),A)
        & v5_msualg_1(k8_osafree(A,B),A)
        & v12_osalg_1(k8_osafree(A,B),A) ) ) ),
    file(osafree,fc5_osafree),
    []).

fof(fc6_osafree,axiom,(
    ! [A,B,C] : 
      ( ( ~ v3_struct_0(A)
        & ~ v2_msualg_1(A)
        & v4_osalg_1(A)
        & v5_osalg_1(A)
        & l3_osalg_1(A)
        & v2_relat_1(B)
        & m1_pboole(B,u1_struct_0(A))
        & m1_subset_1(C,u1_msualg_1(A)) )
     => ~ v1_xboole_0(k3_msualg_1(A,C,k8_osafree(A,B))) ) ),
    file(osafree,fc6_osafree),
    []).

fof(fc6_trees_3,axiom,(
    ! [A] : 
      ( ~ v1_xboole_0(A)
     => ( ~ v1_xboole_0(k5_trees_3(A))
        & v3_trees_3(k5_trees_3(A)) ) ) ),
    file(trees_3,fc6_trees_3),
    []).

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(fraenkel_a_3_0_osafree,axiom,(
    ! [A,B,C,D] : 
      ( ( ~ v3_struct_0(B)
        & ~ v2_msualg_1(B)
        & v4_osalg_1(B)
        & v5_osalg_1(B)
        & l3_osalg_1(B)
        & v2_relat_1(C)
        & m1_pboole(C,u1_struct_0(B))
        & m1_subset_1(D,u1_struct_0(B)) )
     => ( r2_hidden(A,a_3_0_osafree(B,C,D))
      <=> ? [E] : 
            ( m1_dtconstr(E,u1_struct_0(k2_osafree(B,C)),k5_trees_3(u1_struct_0(k2_osafree(B,C))),k4_dtconstr(k2_osafree(B,C)))
            & A = E
            & ~ ( ! [F] : 
                    ( m1_subset_1(F,u1_struct_0(B))
                   => ! [G] : ~ ( r3_orders_2(B,F,D)
                        & r2_hidden(G,k1_funct_1(C,F))
                        & E = k1_trees_4(k4_tarski(G,F)) ) )
                & ! [F] : 
                    ( m1_subset_1(F,u1_msualg_1(B))
                   => ~ ( k4_tarski(F,u1_struct_0(B)) = k1_funct_1(E,k1_xboole_0)
                        & r3_orders_2(B,k1_osalg_1(B,F),D) ) ) ) ) ) ) ),
    file(osafree,a_3_0_osafree),
    []).

fof(fraenkel_a_3_5_osafree,axiom,(
    ! [A,B,C,D] : 
      ( ( ~ v3_struct_0(B)
        & ~ v2_msualg_1(B)
        & v4_osalg_1(B)
        & v5_osalg_1(B)
        & l3_osalg_1(B)
        & v2_relat_1(C)
        & m1_pboole(C,u1_struct_0(B))
        & m1_subset_1(D,u1_struct_0(k2_osafree(B,C))) )
     => ( r2_hidden(A,a_3_5_osafree(B,C,D))
      <=> ? [E] : 
            ( m1_subset_1(E,u1_struct_0(B))
            & A = k4_tarski(k2_trees_4(u1_struct_0(k2_osafree(B,C)),D),E)
            & ? [F] : 
                ( m1_subset_1(F,u1_struct_0(B))
                & ? [G] : 
                    ( r2_hidden(G,k1_funct_1(C,F))
                    & D = k4_tarski(G,F)
                    & r3_orders_2(B,F,E) ) ) ) ) ) ),
    file(osafree,a_3_5_osafree),
    []).

fof(fraenkel_a_3_6_osafree,axiom,(
    ! [A,B,C,D] : 
      ( ( ~ v3_struct_0(B)
        & ~ v2_msualg_1(B)
        & v4_osalg_1(B)
        & v5_osalg_1(B)
        & v2_osalg_4(B)
        & l3_osalg_1(B)
        & v2_relat_1(C)
        & m1_pboole(C,u1_struct_0(B))
        & m1_subset_1(D,u1_struct_0(B)) )
     => ( r2_hidden(A,a_3_6_osafree(B,C,D))
      <=> ? [E] : 
            ( m1_dtconstr(E,u1_struct_0(k2_osafree(B,C)),k5_trees_3(u1_struct_0(k2_osafree(B,C))),k4_dtconstr(k2_osafree(B,C)))
            & A = E
            & ~ ( ! [F] : 
                    ( m1_subset_1(F,u1_struct_0(B))
                   => ! [G] : ~ ( r3_orders_2(B,F,D)
                        & r2_hidden(G,k1_funct_1(C,F))
                        & E = k1_trees_4(k4_tarski(G,F)) ) )
                & ! [F] : 
                    ( m1_subset_1(F,u1_msualg_1(B))
                   => ~ ( k4_tarski(F,u1_struct_0(B)) = k1_funct_1(E,k1_xboole_0)
                        & r3_orders_2(B,k1_osalg_1(B,F),D) ) ) ) ) ) ) ),
    file(osafree,a_3_6_osafree),
    []).

fof(fraenkel_a_3_7_osafree,axiom,(
    ! [A,B,C,D] : 
      ( ( ~ v3_struct_0(B)
        & ~ v2_msualg_1(B)
        & v4_osalg_1(B)
        & v5_osalg_1(B)
        & v2_osalg_4(B)
        & l3_osalg_1(B)
        & v2_relat_1(C)
        & m1_pboole(C,u1_struct_0(B))
        & m1_subset_1(D,u1_struct_0(k2_osafree(B,C))) )
     => ( r2_hidden(A,a_3_7_osafree(B,C,D))
      <=> ? [E] : 
            ( m1_subset_1(E,u1_struct_0(B))
            & A = k4_tarski(k2_trees_4(u1_struct_0(k2_osafree(B,C)),D),E)
            & ? [F] : 
                ( m1_subset_1(F,u1_struct_0(B))
                & ? [G] : 
                    ( r2_hidden(G,k1_funct_1(C,F))
                    & D = k4_tarski(G,F)
                    & r3_orders_2(B,F,E) ) ) ) ) ) ),
    file(osafree,a_3_7_osafree),
    []).

fof(fraenkel_a_4_2_osafree,axiom,(
    ! [A,B,C,D,E] : 
      ( ( ~ v3_struct_0(B)
        & ~ v2_msualg_1(B)
        & v4_osalg_1(B)
        & v5_osalg_1(B)
        & l3_osalg_1(B)
        & v2_relat_1(C)
        & m1_pboole(C,u1_struct_0(B))
        & m1_subset_1(D,u1_struct_0(k2_osafree(B,C)))
        & m2_finseq_1(E,k1_zfmisc_1(k2_zfmisc_1(k4_dtconstr(k2_osafree(B,C)),u1_struct_0(B)))) )
     => ( r2_hidden(A,a_4_2_osafree(B,C,D,E))
      <=> ? [F,G,H] : 
            ( m1_subset_1(F,u1_msualg_1(B))
            & m1_subset_1(G,k3_msualg_1(B,F,k8_osafree(B,C)))
            & m1_subset_1(H,u1_struct_0(B))
            & A = k4_tarski(k8_funct_2(k3_msualg_1(B,F,k8_osafree(B,C)),k4_msualg_1(B,F,k8_osafree(B,C)),k5_msualg_1(B,F,k8_osafree(B,C)),G),H)
            & ? [I] : 
                ( m1_subset_1(I,u1_msualg_1(B))
                & D = k4_tarski(I,u1_struct_0(B))
                & r1_osalg_1(B,I,F)
                & k3_finseq_1(k1_msualg_1(B,I)) = k3_finseq_1(k1_msualg_1(B,F))
                & r3_orders_2(B,k1_osalg_1(B,I),H)
                & r3_orders_2(B,k1_osalg_1(B,F),H) )
            & ? [I] : 
                ( m2_finseq_2(I,u1_struct_0(B),k3_finseq_2(u1_struct_0(B)))
                & k4_finseq_1(I) = k4_finseq_1(E)
                & ! [J] : 
                    ( m2_subset_1(J,k1_numbers,k5_numbers)
                   => ( r2_hidden(J,k4_finseq_1(E))
                     => r2_hidden(k4_tarski(k1_funct_1(G,J),k4_finseq_4(k5_numbers,u1_struct_0(B),I,J)),k1_funct_1(E,J)) ) ) ) ) ) ) ),
    file(osafree,a_4_2_osafree),
    []).

fof(fraenkel_a_4_3_osafree,axiom,(
    ! [A,B,C,D,E] : 
      ( ( ~ v3_struct_0(B)
        & ~ v2_msualg_1(B)
        & v4_osalg_1(B)
        & v5_osalg_1(B)
        & v2_osalg_4(B)
        & l3_osalg_1(B)
        & v2_relat_1(C)
        & m1_pboole(C,u1_struct_0(B))
        & m1_subset_1(D,u1_struct_0(k2_osafree(B,C)))
        & m2_finseq_1(E,k1_zfmisc_1(k2_zfmisc_1(k4_dtconstr(k2_osafree(B,C)),u1_struct_0(B)))) )
     => ( r2_hidden(A,a_4_3_osafree(B,C,D,E))
      <=> ? [F,G,H] : 
            ( m1_subset_1(F,u1_msualg_1(B))
            & m1_subset_1(G,k3_msualg_1(B,F,k8_osafree(B,C)))
            & m1_subset_1(H,u1_struct_0(B))
            & A = k4_tarski(k8_funct_2(k3_msualg_1(B,F,k8_osafree(B,C)),k4_msualg_1(B,F,k8_osafree(B,C)),k5_msualg_1(B,F,k8_osafree(B,C)),G),H)
            & ? [I] : 
                ( m1_subset_1(I,u1_msualg_1(B))
                & D = k4_tarski(I,u1_struct_0(B))
                & r1_osalg_1(B,I,F)
                & k3_finseq_1(k1_msualg_1(B,I)) = k3_finseq_1(k1_msualg_1(B,F))
                & r3_orders_2(B,k1_osalg_1(B,I),H)
                & r3_orders_2(B,k1_osalg_1(B,F),H) )
            & ? [I] : 
                ( m2_finseq_2(I,u1_struct_0(B),k3_finseq_2(u1_struct_0(B)))
                & k4_finseq_1(I) = k4_finseq_1(E)
                & ! [J] : 
                    ( m2_subset_1(J,k1_numbers,k5_numbers)
                   => ( r2_hidden(J,k4_finseq_1(E))
                     => r2_hidden(k4_tarski(k1_funct_1(G,J),k4_finseq_4(k5_numbers,u1_struct_0(B),I,J)),k1_funct_1(E,J)) ) ) ) ) ) ) ),
    file(osafree,a_4_3_osafree),
    []).

fof(fraenkel_a_4_4_osafree,axiom,(
    ! [A,B,C,D,E] : 
      ( ( ~ v3_struct_0(B)
        & ~ v2_msualg_1(B)
        & v4_osalg_1(B)
        & v5_osalg_1(B)
        & v2_osalg_4(B)
        & l3_osalg_1(B)
        & v2_relat_1(C)
        & m1_pboole(C,u1_struct_0(B))
        & m1_subset_1(D,u1_msualg_1(B))
        & m2_finseq_1(E,k1_zfmisc_1(k2_zfmisc_1(k4_dtconstr(k2_osafree(B,C)),u1_struct_0(B)))) )
     => ( r2_hidden(A,a_4_4_osafree(B,C,D,E))
      <=> ? [F,G,H] : 
            ( m1_subset_1(F,u1_msualg_1(B))
            & m1_subset_1(G,k3_msualg_1(B,F,k8_osafree(B,C)))
            & m1_subset_1(H,u1_struct_0(B))
            & A = k4_tarski(k8_funct_2(k3_msualg_1(B,F,k8_osafree(B,C)),k4_msualg_1(B,F,k8_osafree(B,C)),k5_msualg_1(B,F,k8_osafree(B,C)),G),H)
            & ? [I] : 
                ( m1_subset_1(I,u1_msualg_1(B))
                & k9_osafree(B,C,D) = k4_tarski(I,u1_struct_0(B))
                & r1_osalg_1(B,I,F)
                & k3_finseq_1(k1_msualg_1(B,I)) = k3_finseq_1(k1_msualg_1(B,F))
                & r3_orders_2(B,k1_osalg_1(B,I),H)
                & r3_orders_2(B,k1_osalg_1(B,F),H) )
            & ? [I] : 
                ( m2_finseq_2(I,u1_struct_0(B),k3_finseq_2(u1_struct_0(B)))
                & k4_finseq_1(I) = k4_finseq_1(E)
                & ! [J] : 
                    ( m2_subset_1(J,k1_numbers,k5_numbers)
                   => ( r2_hidden(J,k4_finseq_1(E))
                     => r2_hidden(k4_tarski(k1_funct_1(G,J),k4_finseq_4(k5_numbers,u1_struct_0(B),I,J)),k1_funct_1(E,J)) ) ) ) ) ) ) ),
    file(osafree,a_4_4_osafree),
    []).

fof(free_g1_lang1,axiom,(
    ! [A,B] : 
      ( m1_relset_1(B,A,k3_finseq_2(A))
     => ! [C,D] : 
          ( g1_lang1(A,B) = g1_lang1(C,D)
         => ( A = C
            & B = D ) ) ) ),
    file(lang1,g1_lang1),
    []).

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

fof(rc10_osalg_1,axiom,(
    ! [A] : 
      ( ( ~ v3_struct_0(A)
        & v2_orders_2(A)
        & v3_orders_2(A)
        & v4_orders_2(A)
        & l1_orders_2(A) )
     => ? [B] : 
          ( m1_pboole(B,u1_struct_0(A))
          & v1_relat_1(B)
          & v1_funct_1(B)
          & v11_osalg_1(B,A) ) ) ),
    file(osalg_1,rc10_osalg_1),
    []).

fof(rc11_osalg_1,axiom,(
    ! [A] : 
      ( ( ~ v3_struct_0(A)
        & v2_orders_2(A)
        & v3_orders_2(A)
        & v4_orders_2(A)
        & l1_orders_2(A) )
     => ? [B] : 
          ( m1_pboole(B,u1_struct_0(A))
          & v1_relat_1(B)
          & v2_relat_1(B)
          & v1_funct_1(B)
          & v11_osalg_1(B,A) ) ) ),
    file(osalg_1,rc11_osalg_1),
    []).

fof(rc12_osalg_1,axiom,(
    ! [A] : 
      ( ( ~ v3_struct_0(A)
        & ~ v2_msualg_1(A)
        & v4_osalg_1(A)
        & v5_osalg_1(A)
        & l3_osalg_1(A) )
     => ? [B] : 
          ( l3_msualg_1(B,A)
          & v4_msualg_1(B,A)
          & v5_msualg_1(B,A)
          & v12_osalg_1(B,A) ) ) ),
    file(osalg_1,rc12_osalg_1),
    []).

fof(rc1_dtconstr,axiom,(
    ? [A] : 
      ( l1_lang1(A)
      & ~ v3_struct_0(A)
      & v1_lang1(A)
      & v1_dtconstr(A)
      & v2_dtconstr(A)
      & v3_dtconstr(A) ) ),
    file(dtconstr,rc1_dtconstr),
    []).

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_nat_1,axiom,(
    ? [A] : 
      ( ~ v1_xboole_0(A)
      & v4_ordinal2(A)
      & v1_xcmplx_0(A)
      & v1_xreal_0(A) ) ),
    file(nat_1,rc1_nat_1),
    []).

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

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_nat_1,axiom,(
    ? [A] : 
      ( m1_subset_1(A,k1_zfmisc_1(k1_numbers))
      & ~ v1_xboole_0(A)
      & v3_ordinal1(A) ) ),
    file(nat_1,rc2_nat_1),
    []).

fof(rc2_partfun1,axiom,(
    ! [A,B] : 
    ? [C] : 
      ( m1_relset_1(C,A,B)
      & v1_relat_1(C)
      & v1_funct_1(C) ) ),
    file(partfun1,rc2_partfun1),
    []).

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(rc2_trees_3,axiom,(
    ? [A] : 
      ( ~ v1_xboole_0(A)
      & v1_finset_1(A)
      & v3_trees_3(A) ) ),
    file(trees_3,rc2_trees_3),
    []).

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

fof(rc3_nat_1,axiom,(
    ? [A] : 
      ( m1_subset_1(A,k5_numbers)
      & ~ v1_xboole_0(A)
      & v1_ordinal1(A)
      & v2_ordinal1(A)
      & v3_ordinal1(A)
      & v4_ordinal2(A)
      & v1_xcmplx_0(A)
      & v1_xreal_0(A) ) ),
    file(nat_1,rc3_nat_1),
    []).

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_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(rc4_trees_3,axiom,(
    ! [A] : 
      ( ~ v1_xboole_0(A)
     => ? [B] : 
          ( m4_trees_3(B,A)
          & ~ v1_xboole_0(B)
          & v1_finset_1(B)
          & v3_trees_3(B) ) ) ),
    file(trees_3,rc4_trees_3),
    []).

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_osalg_1,axiom,(
    ? [A] : 
      ( l1_osalg_1(A)
      & ~ v3_struct_0(A)
      & ~ v2_msualg_1(A) ) ),
    file(osalg_1,rc5_osalg_1),
    []).

fof(rc5_osalg_4,axiom,(
    ? [A] : 
      ( l1_orders_2(A)
      & ~ v3_struct_0(A)
      & v2_orders_2(A)
      & v3_orders_2(A)
      & v4_orders_2(A)
      & v2_osalg_4(A) ) ),
    file(osalg_4,rc5_osalg_4),
    []).

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_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(rc6_osalg_4,axiom,(
    ? [A] : 
      ( l3_osalg_1(A)
      & ~ v3_struct_0(A)
      & v2_orders_2(A)
      & v3_orders_2(A)
      & v4_orders_2(A)
      & ~ v2_msualg_1(A)
      & v4_osalg_1(A)
      & v5_osalg_1(A)
      & v2_osalg_4(A) ) ),
    file(osalg_4,rc6_osalg_4),
    []).

fof(rc6_trees_3,axiom,(
    ? [A] : 
      ( v1_relat_1(A)
      & v1_funct_1(A)
      & ~ v1_xboole_0(A)
      & v1_finset_1(A)
      & v1_finseq_1(A)
      & v6_trees_3(A) ) ),
    file(trees_3,rc6_trees_3),
    []).

fof(rc8_trees_3,axiom,(
    ? [A] : 
      ( v1_relat_1(A)
      & v1_funct_1(A)
      & ~ v1_xboole_0(A)
      & v6_trees_3(A) ) ),
    file(trees_3,rc8_trees_3),
    []).

fof(redefinition_k12_trees_4,axiom,(
    ! [A,B,C] : 
      ( ( ~ v1_xboole_0(A)
        & m1_subset_1(B,A)
        & m1_finseq_1(C,k5_trees_3(A)) )
     => k12_trees_4(A,B,C) = k4_trees_4(B,C) ) ),
    file(trees_4,k12_trees_4),
    []).

fof(redefinition_k15_lang1,axiom,(
    ! [A,B,C,D] : 
      ( ( ~ v1_xboole_0(A)
        & ~ v1_xboole_0(B)
        & m1_finseq_1(C,A)
        & v1_funct_1(D)
        & v1_funct_2(D,A,B)
        & m1_relset_1(D,A,B) )
     => k15_lang1(A,B,C,D) = k5_relat_1(C,D) ) ),
    file(lang1,k15_lang1),
    []).

fof(redefinition_k1_dtconstr,axiom,(
    ! [A,B,C] : 
      ( ( ~ v1_xboole_0(A)
        & m4_trees_3(B,A)
        & m1_finseq_1(C,B) )
     => k1_dtconstr(A,B,C) = k16_trees_3(C) ) ),
    file(dtconstr,k1_dtconstr),
    []).

fof(redefinition_k1_osalg_1,axiom,(
    ! [A,B] : 
      ( ( ~ v3_struct_0(A)
        & ~ v2_msualg_1(A)
        & l1_msualg_1(A)
        & m1_subset_1(B,u1_msualg_1(A)) )
     => k1_osalg_1(A,B) = k2_msualg_1(A,B) ) ),
    file(osalg_1,k1_osalg_1),
    []).

fof(redefinition_k2_trees_4,axiom,(
    ! [A,B] : 
      ( ( ~ v1_xboole_0(A)
        & m1_subset_1(B,A) )
     => k2_trees_4(A,B) = k1_trees_4(B) ) ),
    file(trees_4,k2_trees_4),
    []).

fof(redefinition_k3_finseq_1,axiom,(
    ! [A] : 
      ( ( v1_relat_1(A)
        & v1_funct_1(A)
        & v1_finseq_1(A) )
     => k3_finseq_1(A) = k1_card_1(A) ) ),
    file(finseq_1,k3_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_k3_msafree,axiom,(
    ! [A,B] : 
      ( m1_pboole(B,A)
     => k3_msafree(A,B) = k2_card_3(B) ) ),
    file(msafree,k3_msafree),
    []).

fof(redefinition_k4_finseq_1,axiom,(
    ! [A] : 
      ( ( v1_relat_1(A)
        & v1_funct_1(A)
        & v1_finseq_1(A) )
     => k4_finseq_1(A) = k1_relat_1(A) ) ),
    file(finseq_1,k4_finseq_1),
    []).

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_k5_numbers,axiom,(
    k5_numbers = k5_ordinal2 ),
    file(numbers,k5_numbers),
    []).

fof(redefinition_k6_dtconstr,axiom,(
    ! [A] : 
      ( ( ~ v3_struct_0(A)
        & v1_dtconstr(A)
        & l1_lang1(A) )
     => k6_dtconstr(A) = k5_lang1(A) ) ),
    file(dtconstr,k6_dtconstr),
    []).

fof(redefinition_k7_dtconstr,axiom,(
    ! [A] : 
      ( ( ~ v3_struct_0(A)
        & v2_dtconstr(A)
        & l1_lang1(A) )
     => k7_dtconstr(A) = k6_lang1(A) ) ),
    file(dtconstr,k7_dtconstr),
    []).

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_dtconstr,axiom,(
    ! [A,B] : 
      ( ( ~ v3_struct_0(A)
        & v1_dtconstr(A)
        & l1_lang1(A)
        & m1_subset_1(B,k6_dtconstr(A)) )
     => k8_dtconstr(A,B) = k1_trees_4(B) ) ),
    file(dtconstr,k8_dtconstr),
    []).

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_k8_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)
        & v2_relat_1(D)
        & m1_pboole(D,B) )
     => k8_pboole(A,B,C,D) = k5_relat_1(C,D) ) ),
    file(pboole,k8_pboole),
    []).

fof(redefinition_k9_osafree,axiom,(
    ! [A,B,C] : 
      ( ( ~ v3_struct_0(A)
        & ~ v2_msualg_1(A)
        & v4_osalg_1(A)
        & v5_osalg_1(A)
        & l3_osalg_1(A)
        & v2_relat_1(B)
        & m1_pboole(B,u1_struct_0(A))
        & m1_subset_1(C,u1_msualg_1(A)) )
     => k9_osafree(A,B,C) = k3_osafree(A,B,C) ) ),
    file(osafree,k9_osafree),
    []).

fof(redefinition_m1_dtconstr,axiom,(
    ! [A,B,C] : 
      ( ( ~ v1_xboole_0(A)
        & ~ v1_xboole_0(B)
        & m4_trees_3(B,A)
        & ~ v1_xboole_0(C)
        & m1_subset_1(C,k1_zfmisc_1(B)) )
     => ! [D] : 
          ( m1_dtconstr(D,A,B,C)
        <=> m1_subset_1(D,C) ) ) ),
    file(dtconstr,m1_dtconstr),
    []).

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_m1_trees_4,axiom,(
    ! [A,B] : 
      ( ( ~ v1_xboole_0(A)
        & m1_subset_1(B,k1_zfmisc_1(A)) )
     => ! [C] : 
          ( m1_trees_4(C,A,B)
        <=> m1_finseq_1(C,B) ) ) ),
    file(trees_4,m1_trees_4),
    []).

fof(redefinition_m2_finseq_1,axiom,(
    ! [A,B] : 
      ( m2_finseq_1(B,A)
    <=> m1_finseq_1(B,A) ) ),
    file(finseq_1,m2_finseq_1),
    []).

fof(redefinition_m2_finseq_2,axiom,(
    ! [A,B] : 
      ( ( ~ v1_xboole_0(B)
        & m1_finseq_2(B,A) )
     => ! [C] : 
          ( m2_finseq_2(C,A,B)
        <=> m1_subset_1(C,B) ) ) ),
    file(finseq_2,m2_finseq_2),
    []).

fof(redefinition_m2_relset_1,axiom,(
    ! [A,B,C] : 
      ( m2_relset_1(C,A,B)
    <=> m1_relset_1(C,A,B) ) ),
    file(relset_1,m2_relset_1),
    []).

fof(redefinition_m2_subset_1,axiom,(
    ! [A,B] : 
      ( ( ~ v1_xboole_0(A)
        & ~ v1_xboole_0(B)
        & m1_subset_1(B,k1_zfmisc_1(A)) )
     => ! [C] : 
          ( m2_subset_1(C,A,B)
        <=> m1_subset_1(C,B) ) ) ),
    file(subset_1,m2_subset_1),
    []).

fof(redefinition_m5_trees_3,axiom,(
    ! [A,B] : 
      ( ( ~ v1_xboole_0(A)
        & ~ v1_xboole_0(B)
        & m4_trees_3(B,A) )
     => ! [C] : 
          ( m5_trees_3(C,A,B)
        <=> m1_subset_1(C,B) ) ) ),
    file(trees_3,m5_trees_3),
    []).

fof(redefinition_r3_orders_2,axiom,(
    ! [A,B,C] : 
      ( ( ~ v3_struct_0(A)
        & v2_orders_2(A)
        & l1_orders_2(A)
        & m1_subset_1(B,u1_struct_0(A))
        & m1_subset_1(C,u1_struct_0(A)) )
     => ( r3_orders_2(A,B,C)
      <=> r1_orders_2(A,B,C) ) ) ),
    file(orders_2,r3_orders_2),
    []).

fof(reflexivity_r1_osalg_1,axiom,(
    ! [A,B,C] : 
      ( ( ~ v3_struct_0(A)
        & ~ v2_msualg_1(A)
        & l1_osalg_1(A)
        & m1_subset_1(B,u1_msualg_1(A))
        & m1_subset_1(C,u1_msualg_1(A)) )
     => r1_osalg_1(A,B,B) ) ),
    file(osalg_1,r1_osalg_1),
    []).

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

fof(reflexivity_r3_orders_2,axiom,(
    ! [A,B,C] : 
      ( ( ~ v3_struct_0(A)
        & v2_orders_2(A)
        & l1_orders_2(A)
        & m1_subset_1(B,u1_struct_0(A))
        & m1_subset_1(C,u1_struct_0(A)) )
     => r3_orders_2(A,B,B) ) ),
    file(orders_2,r3_orders_2),
    []).

fof(s7_dtconstr__e5_50__osafree,axiom,(
    ! [A,B] : 
      ( ( ~ v3_struct_0(A)
        & ~ v2_msualg_1(A)
        & v4_osalg_1(A)
        & v5_osalg_1(A)
        & v2_osalg_4(A)
        & l3_osalg_1(A)
        & v2_relat_1(B)
        & m1_pboole(B,u1_struct_0(A)) )
     => ( ( ! [C] : 
              ( m1_subset_1(C,u1_struct_0(k2_osafree(A,B)))
             => ( r2_hidden(C,k5_lang1(k2_osafree(A,B)))
               => ( ! [D] : 
                      ( m1_subset_1(D,u1_struct_0(A))
                     => ( r2_hidden(k2_trees_4(u1_struct_0(k2_osafree(A,B)),C),k1_funct_1(u4_msualg_1(A,k8_osafree(A,B)),D))
                      <=> r2_hidden(k4_tarski(k2_trees_4(u1_struct_0(k2_osafree(A,B)),C),D),k1_funct_1(k19_osafree(A,B),k2_trees_4(u1_struct_0(k2_osafree(A,B)),C))) ) )
                  & ! [D] : 
                      ( m1_subset_1(D,u1_struct_0(A))
                     => ! [E] : 
                          ( m1_dtconstr(E,u1_struct_0(k2_osafree(A,B)),k5_trees_3(u1_struct_0(k2_osafree(A,B))),k4_dtconstr(k2_osafree(A,B)))
                         => ( r2_hidden(k4_tarski(E,D),k1_funct_1(k19_osafree(A,B),k2_trees_4(u1_struct_0(k2_osafree(A,B)),C)))
                           => r2_hidden(k4_tarski(k2_trees_4(u1_struct_0(k2_osafree(A,B)),C),D),k8_funct_2(k4_dtconstr(k2_osafree(A,B)),k1_zfmisc_1(k2_zfmisc_1(k4_dtconstr(k2_osafree(A,B)),u1_struct_0(A))),k19_osafree(A,B),E)) ) ) ) ) ) )
          & ! [C] : 
              ( m1_subset_1(C,u1_struct_0(k2_osafree(A,B)))
             => ! [F] : 
                  ( m1_trees_4(F,k5_trees_3(u1_struct_0(k2_osafree(A,B))),k4_dtconstr(k2_osafree(A,B)))
                 => ( ( r1_lang1(k2_osafree(A,B),C,k1_dtconstr(u1_struct_0(k2_osafree(A,B)),k5_trees_3(u1_struct_0(k2_osafree(A,B))),F))
                      & ! [G] : 
                          ( ( v1_funct_1(G)
                            & v3_trees_2(G)
                            & m3_trees_2(G,u1_struct_0(k2_osafree(A,B))) )
                         => ( r2_hidden(G,k2_relat_1(F))
                           => ( ! [H] : 
                                  ( m1_subset_1(H,u1_struct_0(A))
                                 => ( r2_hidden(G,k1_funct_1(u4_msualg_1(A,k8_osafree(A,B)),H))
                                  <=> r2_hidden(k4_tarski(G,H),k1_funct_1(k19_osafree(A,B),G)) ) )
                              & ! [H] : 
                                  ( m1_subset_1(H,u1_struct_0(A))
                                 => ! [I] : 
                                      ( m1_dtconstr(I,u1_struct_0(k2_osafree(A,B)),k5_trees_3(u1_struct_0(k2_osafree(A,B))),k4_dtconstr(k2_osafree(A,B)))
                                     => ( r2_hidden(k4_tarski(I,H),k1_funct_1(k19_osafree(A,B),G))
                                       => r2_hidden(k4_tarski(G,H),k8_funct_2(k4_dtconstr(k2_osafree(A,B)),k1_zfmisc_1(k2_zfmisc_1(k4_dtconstr(k2_osafree(A,B)),u1_struct_0(A))),k19_osafree(A,B),I)) ) ) ) ) ) ) )
                   => ( ! [J] : 
                          ( m1_subset_1(J,u1_struct_0(A))
                         => ( r2_hidden(k12_trees_4(u1_struct_0(k2_osafree(A,B)),C,F),k1_funct_1(u4_msualg_1(A,k8_osafree(A,B)),J))
                          <=> r2_hidden(k4_tarski(k12_trees_4(u1_struct_0(k2_osafree(A,B)),C,F),J),k1_funct_1(k19_osafree(A,B),k12_trees_4(u1_struct_0(k2_osafree(A,B)),C,F))) ) )
                      & ! [J] : 
                          ( m1_subset_1(J,u1_struct_0(A))
                         => ! [K] : 
                              ( m1_dtconstr(K,u1_struct_0(k2_osafree(A,B)),k5_trees_3(u1_struct_0(k2_osafree(A,B))),k4_dtconstr(k2_osafree(A,B)))
                             => ( r2_hidden(k4_tarski(K,J),k1_funct_1(k19_osafree(A,B),k12_trees_4(u1_struct_0(k2_osafree(A,B)),C,F)))
                               => r2_hidden(k4_tarski(k12_trees_4(u1_struct_0(k2_osafree(A,B)),C,F),J),k8_funct_2(k4_dtconstr(k2_osafree(A,B)),k1_zfmisc_1(k2_zfmisc_1(k4_dtconstr(k2_osafree(A,B)),u1_struct_0(A))),k19_osafree(A,B),K)) ) ) ) ) ) ) ) )
       => ! [C] : 
            ( ( v1_funct_1(C)
              & v3_trees_2(C)
              & m3_trees_2(C,u1_struct_0(k2_osafree(A,B))) )
           => ( r2_hidden(C,k4_dtconstr(k2_osafree(A,B)))
             => ( ! [L] : 
                    ( m1_subset_1(L,u1_struct_0(A))
                   => ( r2_hidden(C,k1_funct_1(u4_msualg_1(A,k8_osafree(A,B)),L))
                    <=> r2_hidden(k4_tarski(C,L),k1_funct_1(k19_osafree(A,B),C)) ) )
                & ! [L] : 
                    ( m1_subset_1(L,u1_struct_0(A))
                   => ! [M] : 
                        ( m1_dtconstr(M,u1_struct_0(k2_osafree(A,B)),k5_trees_3(u1_struct_0(k2_osafree(A,B))),k4_dtconstr(k2_osafree(A,B)))
                       => ( r2_hidden(k4_tarski(M,L),k1_funct_1(k19_osafree(A,B),C))
                         => r2_hidden(k4_tarski(C,L),k8_funct_2(k4_dtconstr(k2_osafree(A,B)),k1_zfmisc_1(k2_zfmisc_1(k4_dtconstr(k2_osafree(A,B)),u1_struct_0(A))),k19_osafree(A,B),M)) ) ) ) ) ) ) ) ) ),
    file(osafree,s7_dtconstr__e5_50__osafree),
    []).

fof(symmetry_r1_osalg_1,axiom,(
    ! [A,B,C] : 
      ( ( ~ v3_struct_0(A)
        & ~ v2_msualg_1(A)
        & l1_osalg_1(A)
        & m1_subset_1(B,u1_msualg_1(A))
        & m1_subset_1(C,u1_msualg_1(A)) )
     => ( r1_osalg_1(A,B,C)
       => r1_osalg_1(A,C,B) ) ) ),
    file(osalg_1,r1_osalg_1),
    []).

fof(t10_osafree,axiom,(
    ! [A] : 
      ( ( ~ v3_struct_0(A)
        & ~ v2_msualg_1(A)
        & v4_osalg_1(A)
        & v5_osalg_1(A)
        & l3_osalg_1(A) )
     => ! [B] : 
          ( ( v2_relat_1(B)
            & m1_pboole(B,u1_struct_0(A)) )
         => ! [C] : 
              ( m1_subset_1(C,u1_struct_0(A))
             => ! [D] : 
                  ( m1_subset_1(D,u1_struct_0(A))
                 => ! [E] : 
                      ( r2_hidden(E,k1_funct_1(B,C))
                     => ( m1_dtconstr(k1_trees_4(k4_tarski(E,C)),u1_struct_0(k2_osafree(A,B)),k5_trees_3(u1_struct_0(k2_osafree(A,B))),k4_dtconstr(k2_osafree(A,B)))
                        & ! [F] : k4_tarski(F,u1_struct_0(A)) != k1_funct_1(k1_trees_4(k4_tarski(E,C)),k1_xboole_0)
                        & ( r2_hidden(k1_trees_4(k4_tarski(E,C)),k1_funct_1(u4_msualg_1(A,k8_osafree(A,B)),D))
                         => r3_orders_2(A,C,D) )
                        & ( r3_orders_2(A,C,D)
                         => r2_hidden(k1_trees_4(k4_tarski(E,C)),k1_funct_1(u4_msualg_1(A,k8_osafree(A,B)),D)) ) ) ) ) ) ) ) ),
    file(osafree,t10_osafree),
    []).

fof(t12_funct_1,axiom,(
    ! [A,B] : 
      ( ( v1_relat_1(B)
        & v1_funct_1(B) )
     => ( r2_hidden(A,k1_relat_1(B))
       => r2_hidden(k1_funct_1(B,A),k2_relat_1(B)) ) ) ),
    file(funct_1,t12_funct_1),
    []).

fof(t12_osafree,axiom,(
    ! [A] : 
      ( ( ~ v3_struct_0(A)
        & ~ v2_msualg_1(A)
        & v4_osalg_1(A)
        & v5_osalg_1(A)
        & l3_osalg_1(A) )
     => ! [B] : 
          ( ( v2_relat_1(B)
            & m1_pboole(B,u1_struct_0(A)) )
         => ! [C] : 
              ( m1_subset_1(C,u1_struct_0(k2_osafree(A,B)))
             => ! [D] : 
                  ( m1_trees_4(D,k5_trees_3(u1_struct_0(k2_osafree(A,B))),k4_dtconstr(k2_osafree(A,B)))
                 => ( r1_lang1(k2_osafree(A,B),C,k1_dtconstr(u1_struct_0(k2_osafree(A,B)),k5_trees_3(u1_struct_0(k2_osafree(A,B))),D))
                   => ( r2_hidden(C,k7_dtconstr(k2_osafree(A,B)))
                      & r2_hidden(k12_trees_4(u1_struct_0(k2_osafree(A,B)),C,D),k4_dtconstr(k2_osafree(A,B)))
                      & ? [E] : 
                          ( m1_subset_1(E,u1_msualg_1(A))
                          & C = k4_tarski(E,u1_struct_0(A))
                          & r2_hidden(D,k3_msualg_1(A,E,k8_osafree(A,B)))
                          & k12_trees_4(u1_struct_0(k2_osafree(A,B)),C,D) = k1_funct_1(k5_msualg_1(A,E,k8_osafree(A,B)),D)
                          & ! [F] : 
                              ( m1_subset_1(F,u1_struct_0(A))
                             => ( r2_hidden(k12_trees_4(u1_struct_0(k2_osafree(A,B)),C,D),k1_funct_1(u4_msualg_1(A,k8_osafree(A,B)),F))
                              <=> r3_orders_2(A,k1_osalg_1(A,E),F) ) ) ) ) ) ) ) ) ) ),
    file(osafree,t12_osafree),
    []).

fof(t13_osafree,axiom,(
    ! [A] : 
      ( ( ~ v3_struct_0(A)
        & ~ v2_msualg_1(A)
        & v4_osalg_1(A)
        & v5_osalg_1(A)
        & l3_osalg_1(A) )
     => ! [B] : 
          ( ( v2_relat_1(B)
            & m1_pboole(B,u1_struct_0(A)) )
         => ! [C] : 
              ( m1_subset_1(C,u1_msualg_1(A))
             => ! [D] : 
                  ( ( v1_relat_1(D)
                    & v1_funct_1(D)
                    & v1_finseq_1(D) )
                 => ( r2_hidden(D,k3_msualg_1(A,C,k8_osafree(A,B)))
                  <=> ( m1_trees_4(D,k5_trees_3(u1_struct_0(k2_osafree(A,B))),k4_dtconstr(k2_osafree(A,B)))
                      & r1_lang1(k2_osafree(A,B),k9_osafree(A,B,C),k16_trees_3(D)) ) ) ) ) ) ) ),
    file(osafree,t13_osafree),
    []).

fof(t19_msualg_9,axiom,(
    ! [A] : 
      ( ( ~ v3_struct_0(A)
        & ~ v2_msualg_1(A)
        & l1_msualg_1(A) )
     => ! [B] : 
          ( ( v5_msualg_1(B,A)
            & l3_msualg_1(B,A) )
         => ! [C] : 
              ( m1_subset_1(C,u1_msualg_1(A))
             => ! [D] : 
                  ( m1_subset_1(D,k3_msualg_1(A,C,B))
                 => r2_hidden(k8_funct_2(k3_msualg_1(A,C,B),k4_msualg_1(A,C,B),k5_msualg_1(A,C,B),D),k1_funct_1(u4_msualg_1(A,B),k2_msualg_1(A,C))) ) ) ) ) ),
    file(msualg_9,t19_msualg_9),
    []).

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(t22_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,k1_relat_1(k5_relat_1(C,B)))
           => k1_funct_1(k5_relat_1(C,B),A) = k1_funct_1(B,k1_funct_1(C,A)) ) ) ) ),
    file(funct_1,t22_funct_1),
    []).

fof(t23_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,k1_relat_1(B))
           => k1_funct_1(k5_relat_1(B,C),A) = k1_funct_1(C,k1_funct_1(B,A)) ) ) ) ),
    file(funct_1,t23_funct_1),
    []).

fof(t2_msualg_6,axiom,(
    ! [A] : 
      ( ( ~ v3_struct_0(A)
        & ~ v2_msualg_1(A)
        & l1_msualg_1(A) )
     => ! [B] : 
          ( l3_msualg_1(B,A)
         => ! [C] : 
              ( m1_subset_1(C,u1_msualg_1(A))
             => ! [D] : 
                  ( ( v1_relat_1(D)
                    & v1_funct_1(D) )
                 => ( r2_hidden(D,k3_msualg_1(A,C,B))
                   => ( k1_relat_1(D) = k4_finseq_1(k1_msualg_1(A,C))
                      & ! [E] : 
                          ( r2_hidden(E,k4_finseq_1(k1_msualg_1(A,C)))
                         => r2_hidden(k1_funct_1(D,E),k1_funct_1(u4_msualg_1(A,B),k4_finseq_4(k5_numbers,u1_struct_0(A),k1_msualg_1(A,C),E))) ) ) ) ) ) ) ) ),
    file(msualg_6,t2_msualg_6),
    []).

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(t31_finseq_3,axiom,(
    ! [A] : 
      ( ( v1_relat_1(A)
        & v1_funct_1(A)
        & v1_finseq_1(A) )
     => ! [B] : 
          ( ( v1_relat_1(B)
            & v1_funct_1(B)
            & v1_finseq_1(B) )
         => ( k3_finseq_1(A) = k3_finseq_1(B)
          <=> k4_finseq_1(A) = k4_finseq_1(B) ) ) ) ),
    file(finseq_3,t31_finseq_3),
    []).

fof(t33_finseq_2,axiom,(
    ! [A] : 
      ( ( v1_relat_1(A)
        & v1_funct_1(A)
        & v1_finseq_1(A) )
     => ! [B] : 
          ( ( v1_relat_1(B)
            & v1_funct_1(B)
            & v1_finseq_1(B) )
         => ! [C] : 
              ( ( v1_relat_1(C)
                & v1_funct_1(C) )
             => ( ( r1_tarski(k2_relat_1(A),k1_relat_1(C))
                  & B = k5_relat_1(A,C) )
               => k3_finseq_1(B) = k3_finseq_1(A) ) ) ) ) ),
    file(finseq_2,t33_finseq_2),
    []).

fof(t33_zfmisc_1,axiom,(
    ! [A,B,C,D] : 
      ( k4_tarski(A,B) = k4_tarski(C,D)
     => ( A = C
        & B = D ) ) ),
    file(zfmisc_1,t33_zfmisc_1),
    []).

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

fof(t4_osafree,axiom,(
    ! [A] : 
      ( ( ~ v3_struct_0(A)
        & ~ v2_msualg_1(A)
        & v4_osalg_1(A)
        & v5_osalg_1(A)
        & l3_osalg_1(A) )
     => ! [B] : 
          ( ( v2_relat_1(B)
            & m1_pboole(B,u1_struct_0(A)) )
         => ! [C] : 
              ( r2_hidden(C,k6_dtconstr(k2_osafree(A,B)))
            <=> ? [D] : 
                  ( m1_subset_1(D,u1_struct_0(A))
                  & ? [E] : 
                      ( r2_hidden(E,k1_funct_1(B,D))
                      & C = k4_tarski(E,D) ) ) ) ) ) ),
    file(osafree,t4_osafree),
    []).

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(t6_msualg_3,axiom,(
    ! [A] : 
      ( ( ~ v3_struct_0(A)
        & ~ v2_msualg_1(A)
        & l1_msualg_1(A) )
     => ! [B] : 
          ( m1_subset_1(B,u1_msualg_1(A))
         => ! [C] : 
              ( l3_msualg_1(C,A)
             => ! [D] : 
                  ( ( v1_relat_1(D)
                    & v1_funct_1(D) )
                 => ( r2_hidden(D,k3_msualg_1(A,B,C))
                   => ( k1_relat_1(D) = k4_finseq_1(k1_msualg_1(A,B))
                      & ! [E] : 
                          ( r2_hidden(E,k1_relat_1(k5_relat_1(k1_msualg_1(A,B),u4_msualg_1(A,C))))
                         => r2_hidden(k1_funct_1(D,E),k1_funct_1(k5_relat_1(k1_msualg_1(A,B),u4_msualg_1(A,C)),E)) ) ) ) ) ) ) ) ),
    file(msualg_3,t6_msualg_3),
    []).

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

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

fof(t9_osafree,axiom,(
    ! [A] : 
      ( ( ~ v3_struct_0(A)
        & ~ v2_msualg_1(A)
        & v4_osalg_1(A)
        & v5_osalg_1(A)
        & l3_osalg_1(A) )
     => ! [B] : 
          ( ( v2_relat_1(B)
            & m1_pboole(B,u1_struct_0(A)) )
         => ! [C] : 
              ( m1_subset_1(C,u1_struct_0(A))
             => k1_funct_1(u4_msualg_1(A,k8_osafree(A,B)),C) = a_3_0_osafree(A,B,C) ) ) ) ),
    file(osafree,t9_osafree),
    []).