% Mizar problem: t41_waybel27,waybel27,1937,30 
fof(t41_waybel27,conjecture,(
    ! [A] : 
      ( ~ v1_xboole_0(A)
     => ! [B] : 
          ( ( ~ v3_struct_0(B)
            & v2_orders_2(B)
            & v3_orders_2(B)
            & v4_orders_2(B)
            & l1_orders_2(B) )
         => ! [C] : 
              ( ( ~ v3_struct_0(C)
                & v2_orders_2(C)
                & v3_orders_2(C)
                & v4_orders_2(C)
                & l1_orders_2(C) )
             => ? [D] : 
                  ( v1_funct_1(D)
                  & v1_funct_2(D,u1_struct_0(k2_waybel27(B,k6_yellow_1(A,C))),u1_struct_0(k6_yellow_1(A,k2_waybel27(B,C))))
                  & m2_relset_1(D,u1_struct_0(k2_waybel27(B,k6_yellow_1(A,C))),u1_struct_0(k6_yellow_1(A,k2_waybel27(B,C))))
                  & v3_waybel27(D)
                  & v23_waybel_0(D,k2_waybel27(B,k6_yellow_1(A,C)),k6_yellow_1(A,k2_waybel27(B,C))) ) ) ) ) ),
    inference(mizar_bg_added,[status(thm)],[abstractness_v1_orders_2,antisymmetry_r2_hidden,cc10_waybel_0,cc10_waybel_1,cc11_waybel_0,cc12_waybel_0,cc13_waybel_0,cc14_waybel_0,cc1_fraenkel,cc1_funct_1,cc1_funct_2,cc1_lattice3,cc1_monoid_0,cc1_partfun1,cc1_relat_1,cc1_relset_1,cc1_waybel10,cc1_waybel17,cc1_waybel27,cc1_waybel_2,cc1_waybel_8,cc1_yellow_0,cc1_yellow_2,cc1_yellow_3,cc2_funct_1,cc2_funct_2,cc2_lattice3,cc2_waybel27,cc2_waybel_2,cc2_waybel_8,cc2_yellow_0,cc2_yellow_3,cc3_funct_2,cc3_waybel27,cc3_waybel_1,cc3_waybel_2,cc3_waybel_8,cc3_yellow_0,cc3_yellow_3,cc4_funct_2,cc4_waybel_1,cc4_waybel_2,cc4_waybel_8,cc4_yellow_0,cc5_funct_2,cc5_waybel_0,cc5_waybel_1,cc5_waybel_2,cc5_yellow_0,cc6_funct_2,cc6_waybel_0,cc6_waybel_1,cc6_waybel_2,cc6_yellow_0,cc7_waybel_0,cc7_waybel_1,cc7_waybel_2,cc7_yellow_0,cc8_waybel_0,cc8_waybel_1,cc8_yellow_0,cc9_waybel_0,cc9_waybel_1,d11_grcat_1,d1_funct_2,d2_funct_2,d3_pboole,d3_tarski,d3_waybel27,d4_waybel27,d5_funct_1,dt_g1_orders_2,dt_k10_funct_6,dt_k1_funct_1,dt_k1_funct_2,dt_k1_relat_1,dt_k1_xboole_0,dt_k1_zfmisc_1,dt_k2_relat_1,dt_k2_waybel27,dt_k2_zfmisc_1,dt_k4_relset_1,dt_k5_relat_1,dt_k6_partfun1,dt_k6_relat_1,dt_k6_yellow_1,dt_k7_funct_2,dt_k7_grcat_1,dt_k8_yellow_2,dt_l1_orders_2,dt_l1_struct_0,dt_m1_pboole,dt_m1_relset_1,dt_m1_subset_1,dt_m1_yellow_0,dt_m2_relset_1,dt_u1_orders_2,dt_u1_struct_0,existence_l1_orders_2,existence_l1_struct_0,existence_m1_pboole,existence_m1_relset_1,existence_m1_subset_1,existence_m1_yellow_0,existence_m2_relset_1,fc10_relat_1,fc10_waybel_8,fc11_waybel24,fc11_waybel_8,fc11_yellow_1,fc12_relat_1,fc12_waybel_8,fc12_yellow_1,fc13_yellow_1,fc13_yellow_3,fc14_yellow_1,fc15_yellow_1,fc16_yellow_1,fc17_yellow_1,fc18_yellow_1,fc1_fraenkel,fc1_funct_1,fc1_funct_2,fc1_struct_0,fc1_subset_1,fc2_funct_1,fc2_funct_2,fc2_partfun1,fc2_waybel17,fc2_waybel_1,fc3_waybel10,fc3_waybel27,fc3_waybel_1,fc4_relat_1,fc4_subset_1,fc4_waybel10,fc4_waybel27,fc4_waybel_1,fc4_waybel_8,fc5_relat_1,fc5_waybel27,fc5_waybel_1,fc5_waybel_8,fc5_yellow16,fc6_relat_1,fc6_waybel27,fc6_waybel_8,fc7_funcop_1,fc7_relat_1,fc7_waybel27,fc7_waybel_8,fc8_funcop_1,fc8_relat_1,fc8_waybel_8,fc9_relat_1,fc9_waybel_8,free_g1_orders_2,rc12_waybel_0,rc13_waybel_0,rc1_fraenkel,rc1_funcop_1,rc1_funct_1,rc1_funct_2,rc1_lattice3,rc1_monoid_0,rc1_partfun1,rc1_relat_1,rc1_subset_1,rc1_waybel10,rc1_waybel27,rc1_waybel_1,rc1_waybel_2,rc1_waybel_8,rc1_yellow16,rc1_yellow_0,rc1_yellow_3,rc2_funct_1,rc2_funct_2,rc2_lattice3,rc2_partfun1,rc2_relat_1,rc2_subset_1,rc2_waybel10,rc2_waybel27,rc2_waybel_1,rc2_waybel_2,rc2_yellow16,rc2_yellow_0,rc3_funct_1,rc3_partfun1,rc3_relat_1,rc3_struct_0,rc3_waybel27,rc3_waybel_1,rc3_yellow_0,rc3_yellow_9,rc4_funct_1,rc4_waybel27,rc4_waybel_1,rc4_yellow_0,rc4_yellow_9,rc5_struct_0,rc5_waybel27,rc5_waybel_1,redefinition_k4_relset_1,redefinition_k6_partfun1,redefinition_k7_funct_2,redefinition_k8_yellow_2,redefinition_m2_relset_1,reflexivity_r1_tarski,s5_pboole__e1_60__waybel27,s5_pboole__e6_60__waybel27,t121_funct_2,t17_yellow16,t19_waybel27,t1_subset,t22_waybel27,t28_yellow_1,t2_subset,t39_waybel27,t3_subset,t3_waybel27,t40_waybel27,t41_yellow16,t4_funct_2,t4_subset,t5_subset,t63_funct_5,t6_boole,t7_boole,t8_boole]),
    [file(waybel27,t41_waybel27)]).

fof(abstractness_v1_orders_2,axiom,(
    ! [A] : 
      ( l1_orders_2(A)
     => ( v1_orders_2(A)
       => A = g1_orders_2(u1_struct_0(A),u1_orders_2(A)) ) ) ),
    file(orders_2,v1_orders_2),
    []).

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

fof(cc10_waybel_0,axiom,(
    ! [A] : 
      ( l1_orders_2(A)
     => ( ( ~ v3_struct_0(A)
          & v2_orders_2(A)
          & v3_lattice3(A) )
       => ( ~ v3_struct_0(A)
          & v2_orders_2(A)
          & v24_waybel_0(A)
          & v25_waybel_0(A) ) ) ) ),
    file(waybel_0,cc10_waybel_0),
    []).

fof(cc10_waybel_1,axiom,(
    ! [A] : 
      ( l1_orders_2(A)
     => ( ( ~ v3_struct_0(A)
          & v11_waybel_1(A) )
       => ( ~ v3_struct_0(A)
          & v2_orders_2(A)
          & v3_orders_2(A)
          & v4_orders_2(A)
          & v1_lattice3(A)
          & v2_lattice3(A)
          & v2_yellow_0(A)
          & v2_waybel_1(A)
          & v9_waybel_1(A) ) ) ) ),
    file(waybel_1,cc10_waybel_1),
    []).

fof(cc11_waybel_0,axiom,(
    ! [A] : 
      ( l1_orders_2(A)
     => ( ( ~ v3_struct_0(A)
          & v2_orders_2(A)
          & v25_waybel_0(A) )
       => ( ~ v3_struct_0(A)
          & v2_orders_2(A)
          & v1_yellow_0(A) ) ) ) ),
    file(waybel_0,cc11_waybel_0),
    []).

fof(cc12_waybel_0,axiom,(
    ! [A] : 
      ( l1_orders_2(A)
     => ( ( ~ v3_struct_0(A)
          & v2_orders_2(A)
          & v3_orders_2(A)
          & v4_orders_2(A)
          & v1_lattice3(A)
          & v1_yellow_0(A)
          & v24_waybel_0(A) )
       => ( ~ v3_struct_0(A)
          & v2_orders_2(A)
          & v3_orders_2(A)
          & v4_orders_2(A)
          & v1_lattice3(A)
          & v2_lattice3(A)
          & v3_lattice3(A)
          & v1_yellow_0(A)
          & v2_yellow_0(A)
          & v3_yellow_0(A) ) ) ) ),
    file(waybel_0,cc12_waybel_0),
    []).

fof(cc13_waybel_0,axiom,(
    ! [A] : 
      ( l1_orders_2(A)
     => ( ( ~ v3_struct_0(A)
          & v2_orders_2(A)
          & v4_orders_2(A)
          & v25_waybel_0(A) )
       => ( ~ v3_struct_0(A)
          & v2_orders_2(A)
          & v4_orders_2(A)
          & v2_lattice3(A) ) ) ) ),
    file(waybel_0,cc13_waybel_0),
    []).

fof(cc14_waybel_0,axiom,(
    ! [A] : 
      ( l1_orders_2(A)
     => ( ( ~ v3_struct_0(A)
          & v2_orders_2(A)
          & v4_orders_2(A)
          & v2_yellow_0(A)
          & v25_waybel_0(A) )
       => ( ~ v3_struct_0(A)
          & v2_orders_2(A)
          & v4_orders_2(A)
          & v1_lattice3(A)
          & v2_yellow_0(A) ) ) ) ),
    file(waybel_0,cc14_waybel_0),
    []).

fof(cc1_fraenkel,axiom,(
    ! [A] : 
      ( v1_fraenkel(A)
     => ! [B] : 
          ( m1_subset_1(B,A)
         => ( v1_relat_1(B)
            & v1_funct_1(B) ) ) ) ),
    file(fraenkel,cc1_fraenkel),
    []).

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

fof(cc1_funct_2,axiom,(
    ! [A,B,C] : 
      ( m1_relset_1(C,A,B)
     => ( ( v1_funct_1(C)
          & v1_partfun1(C,A,B) )
       => ( v1_funct_1(C)
          & v1_funct_2(C,A,B) ) ) ) ),
    file(funct_2,cc1_funct_2),
    []).

fof(cc1_lattice3,axiom,(
    ! [A] : 
      ( l1_orders_2(A)
     => ( v1_lattice3(A)
       => ~ v3_struct_0(A) ) ) ),
    file(lattice3,cc1_lattice3),
    []).

fof(cc1_monoid_0,axiom,(
    ! [A] : 
      ( ( v1_monoid_0(A)
        & l1_struct_0(A) )
     => ! [B] : 
          ( m1_subset_1(B,u1_struct_0(A))
         => ( v1_relat_1(B)
            & v1_funct_1(B) ) ) ) ),
    file(monoid_0,cc1_monoid_0),
    []).

fof(cc1_partfun1,axiom,(
    ! [A] : 
      ( ( v1_relat_1(A)
        & v3_relat_2(A)
        & v8_relat_2(A) )
     => ( v1_relat_1(A)
        & v1_relat_2(A) ) ) ),
    file(partfun1,cc1_partfun1),
    []).

fof(cc1_relat_1,axiom,(
    ! [A] : 
      ( v1_xboole_0(A)
     => v1_relat_1(A) ) ),
    file(relat_1,cc1_relat_1),
    []).

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_waybel10,axiom,(
    ! [A] : 
      ( ( ~ v3_struct_0(A)
        & l1_orders_2(A) )
     => ! [B] : 
          ( m1_relset_1(B,u1_struct_0(A),u1_struct_0(A))
         => ( ( v1_funct_1(B)
              & v1_funct_2(B,u1_struct_0(A),u1_struct_0(A))
              & v6_waybel_1(B,A) )
           => ( v1_funct_1(B)
              & ~ v1_xboole_0(B)
              & v1_funct_2(B,u1_struct_0(A),u1_struct_0(A))
              & v1_partfun1(B,u1_struct_0(A),u1_struct_0(A))
              & v11_quantal1(B)
              & v5_orders_3(B,A,A) ) ) ) ) ),
    file(waybel10,cc1_waybel10),
    []).

fof(cc1_waybel17,axiom,(
    ! [A,B] : 
      ( ( ~ v3_struct_0(A)
        & v2_orders_2(A)
        & v4_orders_2(A)
        & l1_orders_2(A)
        & ~ v3_struct_0(B)
        & v2_orders_2(B)
        & v4_orders_2(B)
        & l1_orders_2(B) )
     => ! [C] : 
          ( m1_relset_1(C,u1_struct_0(A),u1_struct_0(B))
         => ( ( v1_funct_1(C)
              & v1_funct_2(C,u1_struct_0(A),u1_struct_0(B))
              & v22_waybel_0(C,A,B) )
           => ( ~ v1_xboole_0(C)
              & v1_funct_1(C)
              & v1_funct_2(C,u1_struct_0(A),u1_struct_0(B))
              & v5_orders_3(C,A,B)
              & v1_partfun1(C,u1_struct_0(A),u1_struct_0(B)) ) ) ) ) ),
    file(waybel17,cc1_waybel17),
    []).

fof(cc1_waybel27,axiom,(
    ! [A] : 
      ( ( v1_relat_1(A)
        & v1_funct_1(A)
        & v1_xboole_0(A) )
     => ( v1_relat_1(A)
        & v1_funct_1(A)
        & v1_waybel27(A)
        & v2_waybel27(A)
        & v3_waybel27(A) ) ) ),
    file(waybel27,cc1_waybel27),
    []).

fof(cc1_waybel_2,axiom,(
    ! [A] : 
      ( l1_orders_2(A)
     => ( ( ~ v3_struct_0(A)
          & v2_orders_2(A)
          & v16_waybel_0(A) )
       => ( ~ v3_struct_0(A)
          & v1_lattice3(A)
          & v2_lattice3(A) ) ) ) ),
    file(waybel_2,cc1_waybel_2),
    []).

fof(cc1_waybel_8,axiom,(
    ! [A] : 
      ( l1_orders_2(A)
     => ( ( v2_orders_2(A)
          & v3_orders_2(A)
          & v4_orders_2(A)
          & v1_lattice3(A)
          & v2_lattice3(A)
          & v2_waybel_8(A) )
       => ( ~ v3_struct_0(A)
          & v2_orders_2(A)
          & v3_orders_2(A)
          & v4_orders_2(A)
          & v1_lattice3(A)
          & v2_lattice3(A)
          & v2_yellow_0(A)
          & v24_waybel_0(A)
          & v2_waybel_3(A)
          & v3_waybel_3(A) ) ) ) ),
    file(waybel_8,cc1_waybel_8),
    []).

fof(cc1_yellow_0,axiom,(
    ! [A] : 
      ( l1_orders_2(A)
     => ( ( ~ v3_struct_0(A)
          & v3_lattice3(A) )
       => ( ~ v3_struct_0(A)
          & v1_lattice3(A)
          & v2_lattice3(A) ) ) ) ),
    file(yellow_0,cc1_yellow_0),
    []).

fof(cc1_yellow_2,axiom,(
    ! [A] : 
      ( l1_orders_2(A)
     => ( ( ~ v3_struct_0(A)
          & v2_orders_2(A)
          & v3_orders_2(A)
          & v4_orders_2(A)
          & v2_yellow_0(A)
          & v24_waybel_0(A)
          & v25_waybel_0(A) )
       => ( ~ v3_struct_0(A)
          & v2_orders_2(A)
          & v3_orders_2(A)
          & v4_orders_2(A)
          & v1_yellow_0(A)
          & v2_yellow_0(A)
          & v3_yellow_0(A)
          & v24_waybel_0(A)
          & v25_waybel_0(A)
          & v1_lattice3(A)
          & v2_lattice3(A)
          & v3_lattice3(A) ) ) ) ),
    file(yellow_2,cc1_yellow_2),
    []).

fof(cc1_yellow_3,axiom,(
    ! [A] : 
      ( l1_orders_2(A)
     => ( v3_struct_0(A)
       => v1_yellow_3(A) ) ) ),
    file(yellow_3,cc1_yellow_3),
    []).

fof(cc2_funct_1,axiom,(
    ! [A] : 
      ( ( v1_relat_1(A)
        & v1_xboole_0(A)
        & v1_funct_1(A) )
     => ( v1_relat_1(A)
        & v1_funct_1(A)
        & v2_funct_1(A) ) ) ),
    file(funct_1,cc2_funct_1),
    []).

fof(cc2_funct_2,axiom,(
    ! [A,B,C] : 
      ( m1_relset_1(C,A,B)
     => ( ( v1_funct_1(C)
          & v1_funct_2(C,A,B)
          & v3_funct_2(C,A,B) )
       => ( v1_funct_1(C)
          & v2_funct_1(C)
          & v1_funct_2(C,A,B)
          & v2_funct_2(C,A,B) ) ) ) ),
    file(funct_2,cc2_funct_2),
    []).

fof(cc2_lattice3,axiom,(
    ! [A] : 
      ( l1_orders_2(A)
     => ( v2_lattice3(A)
       => ~ v3_struct_0(A) ) ) ),
    file(lattice3,cc2_lattice3),
    []).

fof(cc2_waybel27,axiom,(
    ! [A,B] : 
      ( ( ~ v1_xboole_0(B)
        & v1_fraenkel(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)
              & v1_funcop_1(C)
              & v1_partfun1(C,A,B) ) ) ) ) ),
    file(waybel27,cc2_waybel27),
    []).

fof(cc2_waybel_2,axiom,(
    ! [A] : 
      ( l1_orders_2(A)
     => ( ( ~ v3_struct_0(A)
          & v2_orders_2(A)
          & v3_realset2(A) )
       => ( ~ v3_struct_0(A)
          & v2_orders_2(A)
          & ~ v1_yellow_3(A)
          & v2_waybel_1(A)
          & v10_waybel_1(A) ) ) ) ),
    file(waybel_2,cc2_waybel_2),
    []).

fof(cc2_waybel_8,axiom,(
    ! [A] : 
      ( l1_orders_2(A)
     => ( ( ~ v3_struct_0(A)
          & v2_orders_2(A)
          & v2_waybel_8(A) )
       => ( ~ v3_struct_0(A)
          & v2_orders_2(A)
          & v24_waybel_0(A)
          & v1_waybel_8(A) ) ) ) ),
    file(waybel_8,cc2_waybel_8),
    []).

fof(cc2_yellow_0,axiom,(
    ! [A] : 
      ( l1_orders_2(A)
     => ( ( ~ v3_struct_0(A)
          & v2_orders_2(A)
          & v3_realset2(A) )
       => ( ~ v3_struct_0(A)
          & v2_orders_2(A)
          & v3_orders_2(A)
          & v4_orders_2(A)
          & v3_lattice3(A) ) ) ) ),
    file(yellow_0,cc2_yellow_0),
    []).

fof(cc2_yellow_3,axiom,(
    ! [A] : 
      ( l1_orders_2(A)
     => ( ~ v1_yellow_3(A)
       => ~ v3_struct_0(A) ) ) ),
    file(yellow_3,cc2_yellow_3),
    []).

fof(cc3_funct_2,axiom,(
    ! [A,B,C] : 
      ( m1_relset_1(C,A,B)
     => ( ( v1_funct_1(C)
          & v2_funct_1(C)
          & v1_funct_2(C,A,B)
          & v2_funct_2(C,A,B) )
       => ( v1_funct_1(C)
          & v1_funct_2(C,A,B)
          & v3_funct_2(C,A,B) ) ) ) ),
    file(funct_2,cc3_funct_2),
    []).

fof(cc3_waybel27,axiom,(
    ! [A] : 
      ( ( ~ v3_struct_0(A)
        & v1_monoid_0(A)
        & l1_orders_2(A) )
     => ! [B] : 
          ( m1_yellow_0(B,A)
         => ( ~ v3_struct_0(B)
           => ( ~ v3_struct_0(B)
              & v1_monoid_0(B) ) ) ) ) ),
    file(waybel27,cc3_waybel27),
    []).

fof(cc3_waybel_1,axiom,(
    ! [A] : 
      ( ( ~ v3_struct_0(A)
        & l1_orders_2(A) )
     => ! [B] : 
          ( m1_relset_1(B,u1_struct_0(A),u1_struct_0(A))
         => ( ( v1_funct_1(B)
              & v1_funct_2(B,u1_struct_0(A),u1_struct_0(A))
              & v7_waybel_1(B,A) )
           => ( v1_funct_1(B)
              & ~ v1_xboole_0(B)
              & v1_funct_2(B,u1_struct_0(A),u1_struct_0(A))
              & v1_partfun1(B,u1_struct_0(A),u1_struct_0(A))
              & v6_waybel_1(B,A) ) ) ) ) ),
    file(waybel_1,cc3_waybel_1),
    []).

fof(cc3_waybel_2,axiom,(
    ! [A] : 
      ( l1_orders_2(A)
     => ( ( ~ v3_struct_0(A)
          & v2_orders_2(A)
          & v3_realset2(A) )
       => ( ~ v3_struct_0(A)
          & v2_orders_2(A)
          & ~ v1_yellow_3(A)
          & v1_waybel_2(A) ) ) ) ),
    file(waybel_2,cc3_waybel_2),
    []).

fof(cc3_waybel_8,axiom,(
    ! [A] : 
      ( l1_orders_2(A)
     => ( ( v2_orders_2(A)
          & v3_orders_2(A)
          & v4_orders_2(A)
          & v1_lattice3(A)
          & v2_lattice3(A)
          & v3_waybel_8(A) )
       => ( ~ v3_struct_0(A)
          & v2_orders_2(A)
          & v3_orders_2(A)
          & v4_orders_2(A)
          & v1_lattice3(A)
          & v2_lattice3(A)
          & v2_yellow_0(A)
          & v24_waybel_0(A)
          & v2_waybel_3(A)
          & v3_waybel_3(A)
          & v1_waybel_8(A)
          & v2_waybel_8(A) ) ) ) ),
    file(waybel_8,cc3_waybel_8),
    []).

fof(cc3_yellow_0,axiom,(
    ! [A] : 
      ( l1_orders_2(A)
     => ( ( ~ v3_struct_0(A)
          & v3_lattice3(A) )
       => ( ~ v3_struct_0(A)
          & v3_yellow_0(A) ) ) ) ),
    file(yellow_0,cc3_yellow_0),
    []).

fof(cc3_yellow_3,axiom,(
    ! [A] : 
      ( l1_orders_2(A)
     => ( ( ~ v3_struct_0(A)
          & v2_orders_2(A) )
       => ( ~ v3_struct_0(A)
          & ~ v1_yellow_3(A) ) ) ) ),
    file(yellow_3,cc3_yellow_3),
    []).

fof(cc4_funct_2,axiom,(
    ! [A,B] : 
      ( m1_relset_1(B,A,A)
     => ( ( v1_funct_1(B)
          & v1_partfun1(B,A,A)
          & v1_relat_2(B)
          & v1_funct_2(B,A,A) )
       => ( v1_funct_1(B)
          & v2_funct_1(B)
          & v1_funct_2(B,A,A)
          & v2_funct_2(B,A,A)
          & v3_funct_2(B,A,A) ) ) ) ),
    file(funct_2,cc4_funct_2),
    []).

fof(cc4_waybel_1,axiom,(
    ! [A] : 
      ( ( ~ v3_struct_0(A)
        & l1_orders_2(A) )
     => ! [B] : 
          ( m1_relset_1(B,u1_struct_0(A),u1_struct_0(A))
         => ( ( v1_funct_1(B)
              & v1_funct_2(B,u1_struct_0(A),u1_struct_0(A))
              & v8_waybel_1(B,A) )
           => ( v1_funct_1(B)
              & ~ v1_xboole_0(B)
              & v1_funct_2(B,u1_struct_0(A),u1_struct_0(A))
              & v1_partfun1(B,u1_struct_0(A),u1_struct_0(A))
              & v6_waybel_1(B,A) ) ) ) ) ),
    file(waybel_1,cc4_waybel_1),
    []).

fof(cc4_waybel_2,axiom,(
    ! [A] : 
      ( l1_orders_2(A)
     => ( ( ~ v3_struct_0(A)
          & v2_orders_2(A)
          & v2_waybel_2(A) )
       => ( ~ v3_struct_0(A)
          & v2_orders_2(A)
          & v24_waybel_0(A)
          & ~ v1_yellow_3(A)
          & v1_waybel_2(A) ) ) ) ),
    file(waybel_2,cc4_waybel_2),
    []).

fof(cc4_waybel_8,axiom,(
    ! [A] : 
      ( l1_orders_2(A)
     => ( ( v2_orders_2(A)
          & v3_orders_2(A)
          & v4_orders_2(A)
          & v1_lattice3(A)
          & v2_lattice3(A)
          & v3_realset2(A) )
       => ( ~ v3_struct_0(A)
          & v2_orders_2(A)
          & v3_orders_2(A)
          & v4_orders_2(A)
          & v1_lattice3(A)
          & v2_lattice3(A)
          & v2_yellow_0(A)
          & v24_waybel_0(A)
          & v2_waybel_3(A)
          & v3_waybel_3(A)
          & v1_waybel_8(A)
          & v2_waybel_8(A)
          & v3_waybel_8(A) ) ) ) ),
    file(waybel_8,cc4_waybel_8),
    []).

fof(cc4_yellow_0,axiom,(
    ! [A] : 
      ( l1_orders_2(A)
     => ( v3_yellow_0(A)
       => ( v1_yellow_0(A)
          & v2_yellow_0(A) ) ) ) ),
    file(yellow_0,cc4_yellow_0),
    []).

fof(cc5_funct_2,axiom,(
    ! [A,B] : 
      ( ~ 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_partfun1(C,A,B)
              & v1_funct_2(C,A,B) ) ) ) ) ),
    file(funct_2,cc5_funct_2),
    []).

fof(cc5_waybel_0,axiom,(
    ! [A] : 
      ( l1_orders_2(A)
     => ( ( ~ v3_struct_0(A)
          & v2_orders_2(A)
          & v3_realset2(A) )
       => ( ~ v3_struct_0(A)
          & v2_orders_2(A)
          & v16_waybel_0(A) ) ) ) ),
    file(waybel_0,cc5_waybel_0),
    []).

fof(cc5_waybel_1,axiom,(
    ! [A] : 
      ( l1_orders_2(A)
     => ( ( ~ v3_struct_0(A)
          & v9_waybel_1(A) )
       => ( ~ v3_struct_0(A)
          & v2_orders_2(A)
          & v3_orders_2(A)
          & v4_orders_2(A)
          & v1_lattice3(A)
          & v2_lattice3(A) ) ) ) ),
    file(waybel_1,cc5_waybel_1),
    []).

fof(cc5_waybel_2,axiom,(
    ! [A] : 
      ( l1_orders_2(A)
     => ( ( ~ v3_struct_0(A)
          & v2_orders_2(A)
          & v24_waybel_0(A)
          & v1_waybel_2(A) )
       => ( ~ v3_struct_0(A)
          & v2_orders_2(A)
          & ~ v1_yellow_3(A)
          & v2_waybel_2(A) ) ) ) ),
    file(waybel_2,cc5_waybel_2),
    []).

fof(cc5_yellow_0,axiom,(
    ! [A] : 
      ( l1_orders_2(A)
     => ( ( v1_yellow_0(A)
          & v2_yellow_0(A) )
       => v3_yellow_0(A) ) ) ),
    file(yellow_0,cc5_yellow_0),
    []).

fof(cc6_funct_2,axiom,(
    ! [A,B] : 
      ( ( ~ v1_xboole_0(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_xboole_0(C)
              & v1_partfun1(C,A,B)
              & v1_funct_2(C,A,B) ) ) ) ) ),
    file(funct_2,cc6_funct_2),
    []).

fof(cc6_waybel_0,axiom,(
    ! [A,B] : 
      ( ( ~ v3_struct_0(A)
        & l1_orders_2(A)
        & ~ v3_struct_0(B)
        & l1_orders_2(B) )
     => ! [C] : 
          ( m1_relset_1(C,u1_struct_0(A),u1_struct_0(B))
         => ( ( v1_funct_1(C)
              & v1_funct_2(C,u1_struct_0(A),u1_struct_0(B))
              & v17_waybel_0(C,A,B) )
           => ( v1_funct_1(C)
              & v1_funct_2(C,u1_struct_0(A),u1_struct_0(B))
              & v19_waybel_0(C,A,B)
              & v21_waybel_0(C,A,B) ) ) ) ) ),
    file(waybel_0,cc6_waybel_0),
    []).

fof(cc6_waybel_1,axiom,(
    ! [A] : 
      ( l1_orders_2(A)
     => ( ( ~ v3_struct_0(A)
          & v9_waybel_1(A) )
       => ( ~ v3_struct_0(A)
          & v2_waybel_1(A) ) ) ) ),
    file(waybel_1,cc6_waybel_1),
    []).

fof(cc6_waybel_2,axiom,(
    ! [A] : 
      ( l1_orders_2(A)
     => ( ( ~ v3_struct_0(A)
          & v2_orders_2(A)
          & v3_orders_2(A)
          & v4_orders_2(A)
          & v3_lattice3(A)
          & v9_waybel_1(A) )
       => ( ~ v3_struct_0(A)
          & v2_orders_2(A)
          & v3_orders_2(A)
          & v4_orders_2(A)
          & v24_waybel_0(A)
          & ~ v1_yellow_3(A)
          & v2_waybel_1(A)
          & v1_waybel_2(A)
          & v2_waybel_2(A) ) ) ) ),
    file(waybel_2,cc6_waybel_2),
    []).

fof(cc6_yellow_0,axiom,(
    ! [A] : 
      ( ( v2_orders_2(A)
        & l1_orders_2(A) )
     => ! [B] : 
          ( m1_yellow_0(B,A)
         => ( v4_yellow_0(B,A)
           => ( v2_orders_2(B)
              & v4_yellow_0(B,A) ) ) ) ) ),
    file(yellow_0,cc6_yellow_0),
    []).

fof(cc7_waybel_0,axiom,(
    ! [A,B] : 
      ( ( ~ v3_struct_0(A)
        & l1_orders_2(A)
        & ~ v3_struct_0(B)
        & l1_orders_2(B) )
     => ! [C] : 
          ( m1_relset_1(C,u1_struct_0(A),u1_struct_0(B))
         => ( ( v1_funct_1(C)
              & v1_funct_2(C,u1_struct_0(A),u1_struct_0(B))
              & v18_waybel_0(C,A,B) )
           => ( v1_funct_1(C)
              & v1_funct_2(C,u1_struct_0(A),u1_struct_0(B))
              & v20_waybel_0(C,A,B)
              & v22_waybel_0(C,A,B) ) ) ) ) ),
    file(waybel_0,cc7_waybel_0),
    []).

fof(cc7_waybel_1,axiom,(
    ! [A] : 
      ( l1_orders_2(A)
     => ( ( ~ v3_struct_0(A)
          & v9_waybel_1(A) )
       => ( ~ v3_struct_0(A)
          & v2_yellow_0(A) ) ) ) ),
    file(waybel_1,cc7_waybel_1),
    []).

fof(cc7_waybel_2,axiom,(
    ! [A] : 
      ( l1_orders_2(A)
     => ( ( ~ v3_struct_0(A)
          & v2_orders_2(A)
          & v3_orders_2(A)
          & v4_orders_2(A)
          & v3_lattice3(A)
          & v2_waybel_1(A)
          & v2_waybel_2(A) )
       => ( ~ v3_struct_0(A)
          & v2_orders_2(A)
          & v3_orders_2(A)
          & v4_orders_2(A)
          & v2_yellow_0(A)
          & ~ v1_yellow_3(A)
          & v1_lattice3(A)
          & v2_lattice3(A)
          & v2_waybel_1(A)
          & v9_waybel_1(A) ) ) ) ),
    file(waybel_2,cc7_waybel_2),
    []).

fof(cc7_yellow_0,axiom,(
    ! [A] : 
      ( ( v3_orders_2(A)
        & l1_orders_2(A) )
     => ! [B] : 
          ( m1_yellow_0(B,A)
         => ( v4_yellow_0(B,A)
           => ( v3_orders_2(B)
              & v4_yellow_0(B,A) ) ) ) ) ),
    file(yellow_0,cc7_yellow_0),
    []).

fof(cc8_waybel_0,axiom,(
    ! [A,B] : 
      ( ( ~ v3_struct_0(A)
        & l1_orders_2(A)
        & ~ v3_struct_0(B)
        & l1_orders_2(B) )
     => ! [C] : 
          ( m1_relset_1(C,u1_struct_0(A),u1_struct_0(B))
         => ( ( v1_funct_1(C)
              & v1_funct_2(C,u1_struct_0(A),u1_struct_0(B))
              & v23_waybel_0(C,A,B) )
           => ( v1_funct_1(C)
              & v2_funct_1(C)
              & v1_funct_2(C,u1_struct_0(A),u1_struct_0(B))
              & v5_orders_3(C,A,B) ) ) ) ) ),
    file(waybel_0,cc8_waybel_0),
    []).

fof(cc8_waybel_1,axiom,(
    ! [A] : 
      ( l1_orders_2(A)
     => ( ( ~ v3_struct_0(A)
          & v11_waybel_1(A) )
       => ( ~ v3_struct_0(A)
          & v2_orders_2(A)
          & v3_orders_2(A)
          & v4_orders_2(A)
          & v1_lattice3(A)
          & v2_lattice3(A)
          & v1_yellow_0(A)
          & v2_yellow_0(A)
          & v3_yellow_0(A)
          & v2_waybel_1(A)
          & v10_waybel_1(A) ) ) ) ),
    file(waybel_1,cc8_waybel_1),
    []).

fof(cc8_yellow_0,axiom,(
    ! [A] : 
      ( ( v4_orders_2(A)
        & l1_orders_2(A) )
     => ! [B] : 
          ( m1_yellow_0(B,A)
         => ( v4_yellow_0(B,A)
           => ( v4_orders_2(B)
              & v4_yellow_0(B,A) ) ) ) ) ),
    file(yellow_0,cc8_yellow_0),
    []).

fof(cc9_waybel_0,axiom,(
    ! [A] : 
      ( l1_orders_2(A)
     => ( ( v2_orders_2(A)
          & v1_lattice3(A)
          & v24_waybel_0(A) )
       => ( ~ v3_struct_0(A)
          & v2_orders_2(A)
          & v1_lattice3(A)
          & v2_yellow_0(A) ) ) ) ),
    file(waybel_0,cc9_waybel_0),
    []).

fof(cc9_waybel_1,axiom,(
    ! [A] : 
      ( l1_orders_2(A)
     => ( ( ~ v3_struct_0(A)
          & v2_orders_2(A)
          & v3_orders_2(A)
          & v4_orders_2(A)
          & v1_lattice3(A)
          & v2_lattice3(A)
          & v3_yellow_0(A)
          & v2_waybel_1(A)
          & v10_waybel_1(A) )
       => ( ~ v3_struct_0(A)
          & v2_orders_2(A)
          & v3_orders_2(A)
          & v4_orders_2(A)
          & v1_lattice3(A)
          & v2_lattice3(A)
          & v1_yellow_0(A)
          & v2_yellow_0(A)
          & v3_yellow_0(A)
          & v2_waybel_1(A)
          & v10_waybel_1(A)
          & v11_waybel_1(A) ) ) ) ),
    file(waybel_1,cc9_waybel_1),
    []).

fof(d11_grcat_1,axiom,(
    ! [A] : 
      ( l1_struct_0(A)
     => k7_grcat_1(A) = k6_partfun1(u1_struct_0(A)) ) ),
    file(grcat_1,d11_grcat_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(d2_funct_2,axiom,(
    ! [A,B,C] : 
      ( C = k1_funct_2(A,B)
    <=> ! [D] : 
          ( r2_hidden(D,C)
        <=> ? [E] : 
              ( v1_relat_1(E)
              & v1_funct_1(E)
              & D = E
              & k1_relat_1(E) = A
              & r1_tarski(k2_relat_1(E),B) ) ) ) ),
    file(funct_2,d2_funct_2),
    []).

fof(d3_pboole,axiom,(
    ! [A,B] : 
      ( ( v1_relat_1(B)
        & v1_funct_1(B) )
     => ( m1_pboole(B,A)
      <=> k1_relat_1(B) = A ) ) ),
    file(pboole,d3_pboole),
    []).

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

fof(d3_waybel27,axiom,(
    ! [A] : 
      ( ( v1_relat_1(A)
        & v1_funct_1(A) )
     => ( v3_waybel27(A)
      <=> ( ! [B] : 
              ( r2_hidden(B,k1_relat_1(A))
             => ( v1_relat_1(B)
                & v1_funct_1(B)
                & v1_funcop_1(B) ) )
          & ! [B] : 
              ( ( v1_relat_1(B)
                & v1_funct_1(B) )
             => ( r2_hidden(B,k1_relat_1(A))
               => k1_funct_1(A,B) = k10_funct_6(B) ) ) ) ) ) ),
    file(waybel27,d3_waybel27),
    []).

fof(d4_waybel27,axiom,(
    ! [A] : 
      ( ( ~ v3_struct_0(A)
        & l1_orders_2(A) )
     => ! [B] : 
          ( ( ~ v3_struct_0(B)
            & v2_orders_2(B)
            & v4_orders_2(B)
            & l1_orders_2(B) )
         => ! [C] : 
              ( ( v1_orders_2(C)
                & l1_orders_2(C) )
             => ( C = k2_waybel27(A,B)
              <=> ( v4_yellow_0(C,k6_yellow_1(u1_struct_0(A),B))
                  & m1_yellow_0(C,k6_yellow_1(u1_struct_0(A),B))
                  & ! [D] : 
                      ( r2_hidden(D,u1_struct_0(C))
                    <=> ( v1_funct_1(D)
                        & v1_funct_2(D,u1_struct_0(A),u1_struct_0(B))
                        & v22_waybel_0(D,A,B)
                        & m2_relset_1(D,u1_struct_0(A),u1_struct_0(B)) ) ) ) ) ) ) ) ),
    file(waybel27,d4_waybel27),
    []).

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

fof(dt_g1_orders_2,axiom,(
    ! [A,B] : 
      ( m1_relset_1(B,A,A)
     => ( v1_orders_2(g1_orders_2(A,B))
        & l1_orders_2(g1_orders_2(A,B)) ) ) ),
    file(orders_2,g1_orders_2),
    []).

fof(dt_k10_funct_6,axiom,(
    ! [A] : 
      ( ( v1_relat_1(A)
        & v1_funct_1(A) )
     => ( v1_relat_1(k10_funct_6(A))
        & v1_funct_1(k10_funct_6(A))
        & v1_funcop_1(k10_funct_6(A)) ) ) ),
    file(funct_6,k10_funct_6),
    []).

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

fof(dt_k1_funct_2,axiom,(
    $true ),
    file(funct_2,k1_funct_2),
    []).

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

fof(dt_k1_xboole_0,axiom,(
    $true ),
    file(xboole_0,k1_xboole_0),
    []).

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

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

fof(dt_k2_waybel27,axiom,(
    ! [A,B] : 
      ( ( ~ v3_struct_0(A)
        & l1_orders_2(A)
        & ~ v3_struct_0(B)
        & v2_orders_2(B)
        & v4_orders_2(B)
        & l1_orders_2(B) )
     => ( v1_orders_2(k2_waybel27(A,B))
        & l1_orders_2(k2_waybel27(A,B)) ) ) ),
    file(waybel27,k2_waybel27),
    []).

fof(dt_k2_zfmisc_1,axiom,(
    $true ),
    file(zfmisc_1,k2_zfmisc_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_k5_relat_1,axiom,(
    ! [A,B] : 
      ( ( v1_relat_1(A)
        & v1_relat_1(B) )
     => v1_relat_1(k5_relat_1(A,B)) ) ),
    file(relat_1,k5_relat_1),
    []).

fof(dt_k6_partfun1,axiom,(
    ! [A] : 
      ( v1_partfun1(k6_partfun1(A),A,A)
      & m2_relset_1(k6_partfun1(A),A,A) ) ),
    file(partfun1,k6_partfun1),
    []).

fof(dt_k6_relat_1,axiom,(
    ! [A] : v1_relat_1(k6_relat_1(A)) ),
    file(relat_1,k6_relat_1),
    []).

fof(dt_k6_yellow_1,axiom,(
    ! [A,B] : 
      ( l1_orders_2(B)
     => ( v1_orders_2(k6_yellow_1(A,B))
        & l1_orders_2(k6_yellow_1(A,B)) ) ) ),
    file(yellow_1,k6_yellow_1),
    []).

fof(dt_k7_funct_2,axiom,(
    ! [A,B,C,D,E] : 
      ( ( ~ v1_xboole_0(B)
        & v1_funct_1(D)
        & v1_funct_2(D,A,B)
        & m1_relset_1(D,A,B)
        & v1_funct_1(E)
        & v1_funct_2(E,B,C)
        & m1_relset_1(E,B,C) )
     => ( v1_funct_1(k7_funct_2(A,B,C,D,E))
        & v1_funct_2(k7_funct_2(A,B,C,D,E),A,C)
        & m2_relset_1(k7_funct_2(A,B,C,D,E),A,C) ) ) ),
    file(funct_2,k7_funct_2),
    []).

fof(dt_k7_grcat_1,axiom,(
    ! [A] : 
      ( l1_struct_0(A)
     => ( v1_funct_1(k7_grcat_1(A))
        & v1_funct_2(k7_grcat_1(A),u1_struct_0(A),u1_struct_0(A))
        & m2_relset_1(k7_grcat_1(A),u1_struct_0(A),u1_struct_0(A)) ) ) ),
    file(grcat_1,k7_grcat_1),
    []).

fof(dt_k8_yellow_2,axiom,(
    ! [A,B,C] : 
      ( ( ~ v3_struct_0(B)
        & l1_struct_0(B)
        & v1_funct_1(C)
        & v1_funct_2(C,A,u1_struct_0(B))
        & m1_relset_1(C,A,u1_struct_0(B)) )
     => m1_subset_1(k8_yellow_2(A,B,C),k1_zfmisc_1(u1_struct_0(B))) ) ),
    file(yellow_2,k8_yellow_2),
    []).

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

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

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

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

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

fof(dt_m1_yellow_0,axiom,(
    ! [A] : 
      ( l1_orders_2(A)
     => ! [B] : 
          ( m1_yellow_0(B,A)
         => l1_orders_2(B) ) ) ),
    file(yellow_0,m1_yellow_0),
    []).

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_u1_orders_2,axiom,(
    ! [A] : 
      ( l1_orders_2(A)
     => m2_relset_1(u1_orders_2(A),u1_struct_0(A),u1_struct_0(A)) ) ),
    file(orders_2,u1_orders_2),
    []).

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

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

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

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

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

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

fof(existence_m1_yellow_0,axiom,(
    ! [A] : 
      ( l1_orders_2(A)
     => ? [B] : m1_yellow_0(B,A) ) ),
    file(yellow_0,m1_yellow_0),
    []).

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

fof(fc10_relat_1,axiom,(
    ! [A,B] : 
      ( ( v1_xboole_0(A)
        & v1_relat_1(B) )
     => ( v1_xboole_0(k5_relat_1(B,A))
        & v1_relat_1(k5_relat_1(B,A)) ) ) ),
    file(relat_1,fc10_relat_1),
    []).

fof(fc10_waybel_8,axiom,(
    ! [A] : 
      ( ( ~ v3_struct_0(A)
        & v2_orders_2(A)
        & v24_waybel_0(A)
        & l1_orders_2(A) )
     => ( ~ v3_struct_0(g1_orders_2(u1_struct_0(A),u1_orders_2(A)))
        & v1_orders_2(g1_orders_2(u1_struct_0(A),u1_orders_2(A)))
        & v2_orders_2(g1_orders_2(u1_struct_0(A),u1_orders_2(A)))
        & v24_waybel_0(g1_orders_2(u1_struct_0(A),u1_orders_2(A))) ) ) ),
    file(waybel_8,fc10_waybel_8),
    []).

fof(fc11_waybel24,axiom,(
    ! [A,B] : 
      ( ( ~ v3_struct_0(B)
        & l1_orders_2(B) )
     => ( ~ v3_struct_0(k6_yellow_1(A,B))
        & v1_orders_2(k6_yellow_1(A,B))
        & v1_monoid_0(k6_yellow_1(A,B)) ) ) ),
    file(waybel24,fc11_waybel24),
    []).

fof(fc11_waybel_8,axiom,(
    ! [A] : 
      ( ( ~ v3_struct_0(A)
        & v2_orders_2(A)
        & v4_orders_2(A)
        & v2_waybel_8(A)
        & l1_orders_2(A) )
     => ( ~ v3_struct_0(g1_orders_2(u1_struct_0(A),u1_orders_2(A)))
        & v1_orders_2(g1_orders_2(u1_struct_0(A),u1_orders_2(A)))
        & v2_orders_2(g1_orders_2(u1_struct_0(A),u1_orders_2(A)))
        & v4_orders_2(g1_orders_2(u1_struct_0(A),u1_orders_2(A)))
        & v24_waybel_0(g1_orders_2(u1_struct_0(A),u1_orders_2(A)))
        & v1_waybel_8(g1_orders_2(u1_struct_0(A),u1_orders_2(A)))
        & v2_waybel_8(g1_orders_2(u1_struct_0(A),u1_orders_2(A))) ) ) ),
    file(waybel_8,fc11_waybel_8),
    []).

fof(fc11_yellow_1,axiom,(
    ! [A,B] : 
      ( ( ~ v3_struct_0(B)
        & l1_orders_2(B) )
     => ( ~ v3_struct_0(k6_yellow_1(A,B))
        & v1_orders_2(k6_yellow_1(A,B)) ) ) ),
    file(yellow_1,fc11_yellow_1),
    []).

fof(fc12_relat_1,axiom,
    ( v1_xboole_0(k1_xboole_0)
    & v1_relat_1(k1_xboole_0)
    & v3_relat_1(k1_xboole_0) ),
    file(relat_1,fc12_relat_1),
    []).

fof(fc12_waybel_8,axiom,(
    ! [A] : 
      ( ( v2_orders_2(A)
        & v3_orders_2(A)
        & v4_orders_2(A)
        & v1_lattice3(A)
        & v2_lattice3(A)
        & v3_waybel_8(A)
        & l1_orders_2(A) )
     => ( ~ v3_struct_0(g1_orders_2(u1_struct_0(A),u1_orders_2(A)))
        & v1_orders_2(g1_orders_2(u1_struct_0(A),u1_orders_2(A)))
        & v2_orders_2(g1_orders_2(u1_struct_0(A),u1_orders_2(A)))
        & v3_orders_2(g1_orders_2(u1_struct_0(A),u1_orders_2(A)))
        & v4_orders_2(g1_orders_2(u1_struct_0(A),u1_orders_2(A)))
        & v1_lattice3(g1_orders_2(u1_struct_0(A),u1_orders_2(A)))
        & v2_lattice3(g1_orders_2(u1_struct_0(A),u1_orders_2(A)))
        & v2_yellow_0(g1_orders_2(u1_struct_0(A),u1_orders_2(A)))
        & v24_waybel_0(g1_orders_2(u1_struct_0(A),u1_orders_2(A)))
        & v2_waybel_3(g1_orders_2(u1_struct_0(A),u1_orders_2(A)))
        & v3_waybel_3(g1_orders_2(u1_struct_0(A),u1_orders_2(A)))
        & v1_waybel_8(g1_orders_2(u1_struct_0(A),u1_orders_2(A)))
        & v2_waybel_8(g1_orders_2(u1_struct_0(A),u1_orders_2(A)))
        & v3_waybel_8(g1_orders_2(u1_struct_0(A),u1_orders_2(A))) ) ) ),
    file(waybel_8,fc12_waybel_8),
    []).

fof(fc12_yellow_1,axiom,(
    ! [A,B] : 
      ( ( ~ v3_struct_0(B)
        & v2_orders_2(B)
        & l1_orders_2(B) )
     => ( ~ v3_struct_0(k6_yellow_1(A,B))
        & v1_orders_2(k6_yellow_1(A,B))
        & v2_orders_2(k6_yellow_1(A,B)) ) ) ),
    file(yellow_1,fc12_yellow_1),
    []).

fof(fc13_yellow_1,axiom,(
    ! [A] : 
      ( ( ~ v3_struct_0(A)
        & l1_orders_2(A) )
     => ( ~ v3_struct_0(k6_yellow_1(k1_xboole_0,A))
        & v1_orders_2(k6_yellow_1(k1_xboole_0,A))
        & v3_realset2(k6_yellow_1(k1_xboole_0,A)) ) ) ),
    file(yellow_1,fc13_yellow_1),
    []).

fof(fc13_yellow_3,axiom,(
    ! [A] : 
      ( ( ~ v1_yellow_3(A)
        & l1_orders_2(A) )
     => ( ~ v1_xboole_0(u1_orders_2(A))
        & v1_relat_1(u1_orders_2(A)) ) ) ),
    file(yellow_3,fc13_yellow_3),
    []).

fof(fc14_yellow_1,axiom,(
    ! [A] : 
      ( ( ~ v3_struct_0(A)
        & v2_orders_2(A)
        & l1_orders_2(A) )
     => ( ~ v3_struct_0(k6_yellow_1(k1_xboole_0,A))
        & v1_orders_2(k6_yellow_1(k1_xboole_0,A))
        & v2_orders_2(k6_yellow_1(k1_xboole_0,A))
        & v3_orders_2(k6_yellow_1(k1_xboole_0,A))
        & v4_orders_2(k6_yellow_1(k1_xboole_0,A))
        & v1_yellow_0(k6_yellow_1(k1_xboole_0,A))
        & v2_yellow_0(k6_yellow_1(k1_xboole_0,A))
        & v3_yellow_0(k6_yellow_1(k1_xboole_0,A))
        & v1_lattice3(k6_yellow_1(k1_xboole_0,A))
        & v2_lattice3(k6_yellow_1(k1_xboole_0,A))
        & v3_lattice3(k6_yellow_1(k1_xboole_0,A))
        & v3_realset2(k6_yellow_1(k1_xboole_0,A)) ) ) ),
    file(yellow_1,fc14_yellow_1),
    []).

fof(fc15_yellow_1,axiom,(
    ! [A,B] : 
      ( ( ~ v3_struct_0(B)
        & v3_orders_2(B)
        & l1_orders_2(B) )
     => ( ~ v3_struct_0(k6_yellow_1(A,B))
        & v1_orders_2(k6_yellow_1(A,B))
        & v3_orders_2(k6_yellow_1(A,B)) ) ) ),
    file(yellow_1,fc15_yellow_1),
    []).

fof(fc16_yellow_1,axiom,(
    ! [A,B] : 
      ( ( ~ v3_struct_0(B)
        & v4_orders_2(B)
        & l1_orders_2(B) )
     => ( ~ v3_struct_0(k6_yellow_1(A,B))
        & v1_orders_2(k6_yellow_1(A,B))
        & v4_orders_2(k6_yellow_1(A,B)) ) ) ),
    file(yellow_1,fc16_yellow_1),
    []).

fof(fc17_yellow_1,axiom,(
    ! [A,B] : 
      ( ( ~ v1_xboole_0(A)
        & ~ v3_struct_0(B)
        & v4_orders_2(B)
        & v2_lattice3(B)
        & l1_orders_2(B) )
     => ( ~ v3_struct_0(k6_yellow_1(A,B))
        & v1_orders_2(k6_yellow_1(A,B))
        & v4_orders_2(k6_yellow_1(A,B))
        & v2_lattice3(k6_yellow_1(A,B)) ) ) ),
    file(yellow_1,fc17_yellow_1),
    []).

fof(fc18_yellow_1,axiom,(
    ! [A,B] : 
      ( ( ~ v1_xboole_0(A)
        & ~ v3_struct_0(B)
        & v4_orders_2(B)
        & v1_lattice3(B)
        & l1_orders_2(B) )
     => ( ~ v3_struct_0(k6_yellow_1(A,B))
        & v1_orders_2(k6_yellow_1(A,B))
        & v4_orders_2(k6_yellow_1(A,B))
        & v1_lattice3(k6_yellow_1(A,B)) ) ) ),
    file(yellow_1,fc18_yellow_1),
    []).

fof(fc1_fraenkel,axiom,(
    ! [A,B] : v1_fraenkel(k1_funct_2(A,B)) ),
    file(fraenkel,fc1_fraenkel),
    []).

fof(fc1_funct_1,axiom,(
    ! [A,B] : 
      ( ( v1_relat_1(A)
        & v1_funct_1(A)
        & v1_relat_1(B)
        & v1_funct_1(B) )
     => ( v1_relat_1(k5_relat_1(A,B))
        & v1_funct_1(k5_relat_1(A,B)) ) ) ),
    file(funct_1,fc1_funct_1),
    []).

fof(fc1_funct_2,axiom,(
    ! [A,B] : 
      ( ~ v1_xboole_0(B)
     => ~ v1_xboole_0(k1_funct_2(A,B)) ) ),
    file(funct_2,fc1_funct_2),
    []).

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

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

fof(fc2_funct_1,axiom,(
    ! [A] : 
      ( v1_relat_1(k6_relat_1(A))
      & v1_funct_1(k6_relat_1(A)) ) ),
    file(funct_1,fc2_funct_1),
    []).

fof(fc2_funct_2,axiom,(
    ! [A] : ~ v1_xboole_0(k1_funct_2(A,A)) ),
    file(funct_2,fc2_funct_2),
    []).

fof(fc2_partfun1,axiom,(
    ! [A] : 
      ( v1_relat_1(k6_relat_1(A))
      & v1_funct_1(k6_relat_1(A))
      & v1_relat_2(k6_relat_1(A))
      & v3_relat_2(k6_relat_1(A))
      & v4_relat_2(k6_relat_1(A))
      & v8_relat_2(k6_relat_1(A)) ) ),
    file(partfun1,fc2_partfun1),
    []).

fof(fc2_waybel17,axiom,(
    ! [A,B] : 
      ( ( ~ v1_xboole_0(A)
        & v2_orders_2(B)
        & v3_orders_2(B)
        & v4_orders_2(B)
        & v1_lattice3(B)
        & v2_lattice3(B)
        & v3_lattice3(B)
        & l1_orders_2(B) )
     => ( v1_orders_2(k6_yellow_1(A,B))
        & v3_lattice3(k6_yellow_1(A,B)) ) ) ),
    file(waybel17,fc2_waybel17),
    []).

fof(fc2_waybel_1,axiom,(
    ! [A] : 
      ( l1_orders_2(A)
     => ( v1_relat_1(k7_grcat_1(A))
        & v1_funct_1(k7_grcat_1(A))
        & v1_funct_2(k7_grcat_1(A),u1_struct_0(A),u1_struct_0(A))
        & v23_waybel_0(k7_grcat_1(A),A,A) ) ) ),
    file(waybel_1,fc2_waybel_1),
    []).

fof(fc3_waybel10,axiom,(
    ! [A] : 
      ( l1_struct_0(A)
     => ( v1_relat_1(k7_grcat_1(A))
        & v1_funct_1(k7_grcat_1(A))
        & v2_funct_1(k7_grcat_1(A))
        & v1_funct_2(k7_grcat_1(A),u1_struct_0(A),u1_struct_0(A)) ) ) ),
    file(waybel10,fc3_waybel10),
    []).

fof(fc3_waybel27,axiom,(
    ! [A] : 
      ( ( v1_monoid_0(A)
        & l1_struct_0(A) )
     => v1_fraenkel(u1_struct_0(A)) ) ),
    file(waybel27,fc3_waybel27),
    []).

fof(fc3_waybel_1,axiom,(
    ! [A] : 
      ( ( ~ v3_struct_0(A)
        & l1_orders_2(A) )
     => ( v1_relat_1(k7_grcat_1(A))
        & v1_funct_1(k7_grcat_1(A))
        & v2_funct_1(k7_grcat_1(A))
        & ~ v1_xboole_0(k7_grcat_1(A))
        & v1_funct_2(k7_grcat_1(A),u1_struct_0(A),u1_struct_0(A))
        & v1_partfun1(k7_grcat_1(A),u1_struct_0(A),u1_struct_0(A))
        & v5_orders_3(k7_grcat_1(A),A,A)
        & v23_waybel_0(k7_grcat_1(A),A,A)
        & v6_waybel_1(k7_grcat_1(A),A) ) ) ),
    file(waybel_1,fc3_waybel_1),
    []).

fof(fc4_relat_1,axiom,
    ( v1_xboole_0(k1_xboole_0)
    & v1_relat_1(k1_xboole_0) ),
    file(relat_1,fc4_relat_1),
    []).

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(fc4_waybel10,axiom,(
    ! [A] : 
      ( ( ~ v3_struct_0(A)
        & v2_orders_2(A)
        & l1_orders_2(A) )
     => ( v1_relat_1(k7_grcat_1(A))
        & v1_funct_1(k7_grcat_1(A))
        & v2_funct_1(k7_grcat_1(A))
        & ~ v1_xboole_0(k7_grcat_1(A))
        & v1_funct_2(k7_grcat_1(A),u1_struct_0(A),u1_struct_0(A))
        & v1_partfun1(k7_grcat_1(A),u1_struct_0(A),u1_struct_0(A))
        & v11_quantal1(k7_grcat_1(A))
        & v5_orders_3(k7_grcat_1(A),A,A)
        & v17_waybel_0(k7_grcat_1(A),A,A)
        & v18_waybel_0(k7_grcat_1(A),A,A)
        & v19_waybel_0(k7_grcat_1(A),A,A)
        & v20_waybel_0(k7_grcat_1(A),A,A)
        & v21_waybel_0(k7_grcat_1(A),A,A)
        & v22_waybel_0(k7_grcat_1(A),A,A)
        & v23_waybel_0(k7_grcat_1(A),A,A)
        & v6_waybel_1(k7_grcat_1(A),A)
        & v7_waybel_1(k7_grcat_1(A),A)
        & v8_waybel_1(k7_grcat_1(A),A) ) ) ),
    file(waybel10,fc4_waybel10),
    []).

fof(fc4_waybel27,axiom,(
    ! [A,B] : 
      ( ( ~ v3_struct_0(B)
        & l1_orders_2(B) )
     => ( ~ v3_struct_0(k6_yellow_1(A,B))
        & v1_orders_2(k6_yellow_1(A,B))
        & v1_monoid_0(k6_yellow_1(A,B)) ) ) ),
    file(waybel27,fc4_waybel27),
    []).

fof(fc4_waybel_1,axiom,(
    ! [A] : 
      ( ( ~ v3_struct_0(A)
        & v2_orders_2(A)
        & l1_orders_2(A) )
     => ( v1_relat_1(k7_grcat_1(A))
        & v1_funct_1(k7_grcat_1(A))
        & v2_funct_1(k7_grcat_1(A))
        & ~ v1_xboole_0(k7_grcat_1(A))
        & v1_funct_2(k7_grcat_1(A),u1_struct_0(A),u1_struct_0(A))
        & v1_partfun1(k7_grcat_1(A),u1_struct_0(A),u1_struct_0(A))
        & v5_orders_3(k7_grcat_1(A),A,A)
        & v23_waybel_0(k7_grcat_1(A),A,A)
        & v6_waybel_1(k7_grcat_1(A),A)
        & v7_waybel_1(k7_grcat_1(A),A) ) ) ),
    file(waybel_1,fc4_waybel_1),
    []).

fof(fc4_waybel_8,axiom,(
    ! [A] : 
      ( ( ~ v3_struct_0(A)
        & l1_orders_2(A) )
     => ( ~ v3_struct_0(g1_orders_2(u1_struct_0(A),u1_orders_2(A)))
        & v1_orders_2(g1_orders_2(u1_struct_0(A),u1_orders_2(A))) ) ) ),
    file(waybel_8,fc4_waybel_8),
    []).

fof(fc5_relat_1,axiom,(
    ! [A] : 
      ( ( ~ v1_xboole_0(A)
        & v1_relat_1(A) )
     => ~ v1_xboole_0(k1_relat_1(A)) ) ),
    file(relat_1,fc5_relat_1),
    []).

fof(fc5_waybel27,axiom,(
    ! [A,B] : 
      ( ( ~ v3_struct_0(A)
        & l1_orders_2(A)
        & ~ v3_struct_0(B)
        & v2_orders_2(B)
        & v4_orders_2(B)
        & l1_orders_2(B) )
     => ( ~ v3_struct_0(k2_waybel27(A,B))
        & v1_orders_2(k2_waybel27(A,B))
        & v2_orders_2(k2_waybel27(A,B))
        & v4_orders_2(k2_waybel27(A,B))
        & ~ v1_yellow_3(k2_waybel27(A,B))
        & v1_monoid_0(k2_waybel27(A,B)) ) ) ),
    file(waybel27,fc5_waybel27),
    []).

fof(fc5_waybel_1,axiom,(
    ! [A] : 
      ( ( ~ v3_struct_0(A)
        & v2_orders_2(A)
        & l1_orders_2(A) )
     => ( v1_relat_1(k7_grcat_1(A))
        & v1_funct_1(k7_grcat_1(A))
        & v2_funct_1(k7_grcat_1(A))
        & ~ v1_xboole_0(k7_grcat_1(A))
        & v1_funct_2(k7_grcat_1(A),u1_struct_0(A),u1_struct_0(A))
        & v1_partfun1(k7_grcat_1(A),u1_struct_0(A),u1_struct_0(A))
        & v5_orders_3(k7_grcat_1(A),A,A)
        & v23_waybel_0(k7_grcat_1(A),A,A)
        & v6_waybel_1(k7_grcat_1(A),A)
        & v7_waybel_1(k7_grcat_1(A),A)
        & v8_waybel_1(k7_grcat_1(A),A) ) ) ),
    file(waybel_1,fc5_waybel_1),
    []).

fof(fc5_waybel_8,axiom,(
    ! [A] : 
      ( ( ~ v3_struct_0(A)
        & v2_orders_2(A)
        & l1_orders_2(A) )
     => ( ~ v3_struct_0(g1_orders_2(u1_struct_0(A),u1_orders_2(A)))
        & v1_orders_2(g1_orders_2(u1_struct_0(A),u1_orders_2(A)))
        & v2_orders_2(g1_orders_2(u1_struct_0(A),u1_orders_2(A))) ) ) ),
    file(waybel_8,fc5_waybel_8),
    []).

fof(fc5_yellow16,axiom,(
    ! [A,B] : 
      ( ( ~ v3_struct_0(A)
        & v2_orders_2(A)
        & v3_orders_2(A)
        & v4_orders_2(A)
        & v24_waybel_0(A)
        & l1_orders_2(A)
        & ~ v1_xboole_0(B) )
     => ( ~ v3_struct_0(k6_yellow_1(B,A))
        & v1_orders_2(k6_yellow_1(B,A))
        & v2_orders_2(k6_yellow_1(B,A))
        & v3_orders_2(k6_yellow_1(B,A))
        & v4_orders_2(k6_yellow_1(B,A))
        & v24_waybel_0(k6_yellow_1(B,A)) ) ) ),
    file(yellow16,fc5_yellow16),
    []).

fof(fc6_relat_1,axiom,(
    ! [A] : 
      ( ( ~ v1_xboole_0(A)
        & v1_relat_1(A) )
     => ~ v1_xboole_0(k2_relat_1(A)) ) ),
    file(relat_1,fc6_relat_1),
    []).

fof(fc6_waybel27,axiom,(
    ! [A,B] : 
      ( ( ~ v3_struct_0(A)
        & l1_orders_2(A)
        & ~ v3_struct_0(B)
        & v2_orders_2(B)
        & v3_orders_2(B)
        & v4_orders_2(B)
        & l1_orders_2(B) )
     => ( ~ v3_struct_0(k2_waybel27(A,B))
        & v1_orders_2(k2_waybel27(A,B))
        & v2_orders_2(k2_waybel27(A,B))
        & v3_orders_2(k2_waybel27(A,B))
        & v4_orders_2(k2_waybel27(A,B))
        & ~ v1_yellow_3(k2_waybel27(A,B))
        & v1_monoid_0(k2_waybel27(A,B)) ) ) ),
    file(waybel27,fc6_waybel27),
    []).

fof(fc6_waybel_8,axiom,(
    ! [A] : 
      ( ( v3_orders_2(A)
        & l1_orders_2(A) )
     => ( v1_orders_2(g1_orders_2(u1_struct_0(A),u1_orders_2(A)))
        & v3_orders_2(g1_orders_2(u1_struct_0(A),u1_orders_2(A))) ) ) ),
    file(waybel_8,fc6_waybel_8),
    []).

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(fc7_relat_1,axiom,(
    ! [A] : 
      ( v1_xboole_0(A)
     => ( v1_xboole_0(k1_relat_1(A))
        & v1_relat_1(k1_relat_1(A)) ) ) ),
    file(relat_1,fc7_relat_1),
    []).

fof(fc7_waybel27,axiom,(
    ! [A,B] : 
      ( ( v2_orders_2(A)
        & v3_orders_2(A)
        & v4_orders_2(A)
        & v1_lattice3(A)
        & v2_lattice3(A)
        & v3_lattice3(A)
        & l1_orders_2(A)
        & v2_orders_2(B)
        & v3_orders_2(B)
        & v4_orders_2(B)
        & v1_lattice3(B)
        & v2_lattice3(B)
        & v3_lattice3(B)
        & l1_orders_2(B) )
     => ( ~ v3_struct_0(k2_waybel27(A,B))
        & v1_orders_2(k2_waybel27(A,B))
        & v2_orders_2(k2_waybel27(A,B))
        & v3_orders_2(k2_waybel27(A,B))
        & v4_orders_2(k2_waybel27(A,B))
        & v1_yellow_0(k2_waybel27(A,B))
        & v2_yellow_0(k2_waybel27(A,B))
        & v3_yellow_0(k2_waybel27(A,B))
        & v24_waybel_0(k2_waybel27(A,B))
        & v25_waybel_0(k2_waybel27(A,B))
        & ~ v1_yellow_3(k2_waybel27(A,B))
        & v1_lattice3(k2_waybel27(A,B))
        & v2_lattice3(k2_waybel27(A,B))
        & v3_lattice3(k2_waybel27(A,B))
        & v1_monoid_0(k2_waybel27(A,B)) ) ) ),
    file(waybel27,fc7_waybel27),
    []).

fof(fc7_waybel_8,axiom,(
    ! [A] : 
      ( ( v4_orders_2(A)
        & l1_orders_2(A) )
     => ( v1_orders_2(g1_orders_2(u1_struct_0(A),u1_orders_2(A)))
        & v4_orders_2(g1_orders_2(u1_struct_0(A),u1_orders_2(A))) ) ) ),
    file(waybel_8,fc7_waybel_8),
    []).

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(fc8_relat_1,axiom,(
    ! [A] : 
      ( v1_xboole_0(A)
     => ( v1_xboole_0(k2_relat_1(A))
        & v1_relat_1(k2_relat_1(A)) ) ) ),
    file(relat_1,fc8_relat_1),
    []).

fof(fc8_waybel_8,axiom,(
    ! [A] : 
      ( ( v2_lattice3(A)
        & l1_orders_2(A) )
     => ( ~ v3_struct_0(g1_orders_2(u1_struct_0(A),u1_orders_2(A)))
        & v1_orders_2(g1_orders_2(u1_struct_0(A),u1_orders_2(A)))
        & v2_lattice3(g1_orders_2(u1_struct_0(A),u1_orders_2(A))) ) ) ),
    file(waybel_8,fc8_waybel_8),
    []).

fof(fc9_relat_1,axiom,(
    ! [A,B] : 
      ( ( v1_xboole_0(A)
        & v1_relat_1(B) )
     => ( v1_xboole_0(k5_relat_1(A,B))
        & v1_relat_1(k5_relat_1(A,B)) ) ) ),
    file(relat_1,fc9_relat_1),
    []).

fof(fc9_waybel_8,axiom,(
    ! [A] : 
      ( ( v1_lattice3(A)
        & l1_orders_2(A) )
     => ( ~ v3_struct_0(g1_orders_2(u1_struct_0(A),u1_orders_2(A)))
        & v1_orders_2(g1_orders_2(u1_struct_0(A),u1_orders_2(A)))
        & v1_lattice3(g1_orders_2(u1_struct_0(A),u1_orders_2(A))) ) ) ),
    file(waybel_8,fc9_waybel_8),
    []).

fof(free_g1_orders_2,axiom,(
    ! [A,B] : 
      ( m1_relset_1(B,A,A)
     => ! [C,D] : 
          ( g1_orders_2(A,B) = g1_orders_2(C,D)
         => ( A = C
            & B = D ) ) ) ),
    file(orders_2,g1_orders_2),
    []).

fof(rc12_waybel_0,axiom,(
    ? [A] : 
      ( l1_orders_2(A)
      & ~ v3_struct_0(A)
      & v2_orders_2(A)
      & v3_orders_2(A)
      & v4_orders_2(A)
      & v16_waybel_0(A) ) ),
    file(waybel_0,rc12_waybel_0),
    []).

fof(rc13_waybel_0,axiom,(
    ? [A] : 
      ( l1_orders_2(A)
      & ~ v3_struct_0(A)
      & v1_orders_2(A)
      & v2_orders_2(A)
      & v3_orders_2(A)
      & v4_orders_2(A)
      & v1_lattice3(A)
      & v2_lattice3(A)
      & v3_lattice3(A)
      & v1_yellow_0(A)
      & v2_yellow_0(A)
      & v3_yellow_0(A)
      & v24_waybel_0(A)
      & v25_waybel_0(A) ) ),
    file(waybel_0,rc13_waybel_0),
    []).

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

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

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

fof(rc1_funct_2,axiom,(
    ! [A,B] : 
    ? [C] : 
      ( m1_relset_1(C,A,B)
      & v1_relat_1(C)
      & v1_funct_1(C)
      & v1_funct_2(C,A,B) ) ),
    file(funct_2,rc1_funct_2),
    []).

fof(rc1_lattice3,axiom,(
    ? [A] : 
      ( l1_orders_2(A)
      & ~ v3_struct_0(A)
      & v1_orders_2(A)
      & v2_orders_2(A)
      & v3_orders_2(A)
      & v4_orders_2(A)
      & v3_lattice3(A) ) ),
    file(lattice3,rc1_lattice3),
    []).

fof(rc1_monoid_0,axiom,(
    ? [A] : 
      ( l1_struct_0(A)
      & v1_monoid_0(A) ) ),
    file(monoid_0,rc1_monoid_0),
    []).

fof(rc1_partfun1,axiom,(
    ? [A] : 
      ( v1_relat_1(A)
      & v1_funct_1(A)
      & v2_funct_1(A)
      & v1_xboole_0(A) ) ),
    file(partfun1,rc1_partfun1),
    []).

fof(rc1_relat_1,axiom,(
    ? [A] : 
      ( v1_xboole_0(A)
      & v1_relat_1(A) ) ),
    file(relat_1,rc1_relat_1),
    []).

fof(rc1_subset_1,axiom,(
    ! [A] : 
      ( ~ v1_xboole_0(A)
     => ? [B] : 
          ( m1_subset_1(B,k1_zfmisc_1(A))
          & ~ v1_xboole_0(B) ) ) ),
    file(subset_1,rc1_subset_1),
    []).

fof(rc1_waybel10,axiom,(
    ! [A,B] : 
      ( ( l1_orders_2(A)
        & ~ v3_struct_0(B)
        & v2_orders_2(B)
        & l1_orders_2(B) )
     => ? [C] : 
          ( m1_relset_1(C,u1_struct_0(A),u1_struct_0(B))
          & v1_relat_1(C)
          & v1_funct_1(C)
          & v1_funct_2(C,u1_struct_0(A),u1_struct_0(B))
          & v1_partfun1(C,u1_struct_0(A),u1_struct_0(B))
          & v5_orders_3(C,A,B) ) ) ),
    file(waybel10,rc1_waybel10),
    []).

fof(rc1_waybel27,axiom,(
    ? [A] : 
      ( v1_relat_1(A)
      & v1_funct_1(A)
      & v1_waybel27(A)
      & v2_waybel27(A)
      & v3_waybel27(A) ) ),
    file(waybel27,rc1_waybel27),
    []).

fof(rc1_waybel_1,axiom,(
    ! [A] : 
      ( ( ~ v3_struct_0(A)
        & l1_orders_2(A) )
     => ? [B] : 
          ( m1_relset_1(B,u1_struct_0(A),u1_struct_0(A))
          & v1_relat_1(B)
          & v1_funct_1(B)
          & ~ v1_xboole_0(B)
          & v1_funct_2(B,u1_struct_0(A),u1_struct_0(A))
          & v1_partfun1(B,u1_struct_0(A),u1_struct_0(A))
          & v6_waybel_1(B,A) ) ) ),
    file(waybel_1,rc1_waybel_1),
    []).

fof(rc1_waybel_2,axiom,(
    ? [A] : 
      ( l1_orders_2(A)
      & ~ v3_struct_0(A)
      & v1_orders_2(A)
      & v2_orders_2(A)
      & v3_orders_2(A)
      & v4_orders_2(A)
      & v1_yellow_0(A)
      & v2_yellow_0(A)
      & v3_yellow_0(A)
      & v16_waybel_0(A)
      & v24_waybel_0(A)
      & v25_waybel_0(A)
      & ~ v1_yellow_3(A)
      & v1_lattice3(A)
      & v2_lattice3(A)
      & v3_lattice3(A)
      & v2_waybel_1(A)
      & v9_waybel_1(A)
      & v10_waybel_1(A)
      & v11_waybel_1(A)
      & v3_realset2(A) ) ),
    file(waybel_2,rc1_waybel_2),
    []).

fof(rc1_waybel_8,axiom,(
    ? [A] : 
      ( l1_orders_2(A)
      & ~ v3_struct_0(A)
      & v1_orders_2(A)
      & v2_orders_2(A)
      & v3_orders_2(A)
      & v4_orders_2(A)
      & v1_lattice3(A)
      & v2_lattice3(A)
      & v3_lattice3(A)
      & v1_yellow_0(A)
      & v2_yellow_0(A)
      & v3_yellow_0(A)
      & v16_waybel_0(A)
      & v24_waybel_0(A)
      & v25_waybel_0(A)
      & ~ v1_yellow_3(A)
      & v2_waybel_1(A)
      & v9_waybel_1(A)
      & v10_waybel_1(A)
      & v11_waybel_1(A)
      & v2_waybel_3(A)
      & v3_waybel_3(A)
      & v3_realset2(A)
      & v1_waybel_8(A)
      & v2_waybel_8(A)
      & v3_waybel_8(A) ) ),
    file(waybel_8,rc1_waybel_8),
    []).

fof(rc1_yellow16,axiom,(
    ! [A,B] : 
      ( ( ~ v3_struct_0(A)
        & l1_orders_2(A)
        & ~ v3_struct_0(B)
        & v2_orders_2(B)
        & v4_orders_2(B)
        & l1_orders_2(B) )
     => ? [C] : 
          ( m1_relset_1(C,u1_struct_0(A),u1_struct_0(B))
          & v1_relat_1(C)
          & v1_funct_1(C)
          & v1_funct_2(C,u1_struct_0(A),u1_struct_0(B))
          & v5_orders_3(C,A,B)
          & v22_waybel_0(C,A,B) ) ) ),
    file(yellow16,rc1_yellow16),
    []).

fof(rc1_yellow_0,axiom,(
    ? [A] : 
      ( l1_orders_2(A)
      & ~ v3_struct_0(A)
      & v1_orders_2(A)
      & v2_orders_2(A)
      & v3_orders_2(A)
      & v4_orders_2(A)
      & v1_lattice3(A)
      & v2_lattice3(A)
      & v3_lattice3(A)
      & v3_realset2(A) ) ),
    file(yellow_0,rc1_yellow_0),
    []).

fof(rc1_yellow_3,axiom,(
    ? [A] : 
      ( l1_orders_2(A)
      & ~ v3_struct_0(A)
      & v1_orders_2(A)
      & v2_orders_2(A)
      & v3_orders_2(A)
      & v4_orders_2(A)
      & ~ v1_yellow_3(A) ) ),
    file(yellow_3,rc1_yellow_3),
    []).

fof(rc2_funct_1,axiom,(
    ? [A] : 
      ( v1_relat_1(A)
      & v1_xboole_0(A)
      & v1_funct_1(A) ) ),
    file(funct_1,rc2_funct_1),
    []).

fof(rc2_funct_2,axiom,(
    ! [A] : 
    ? [B] : 
      ( m1_relset_1(B,A,A)
      & v1_relat_1(B)
      & v1_funct_1(B)
      & v2_funct_1(B)
      & v1_funct_2(B,A,A)
      & v2_funct_2(B,A,A)
      & v3_funct_2(B,A,A) ) ),
    file(funct_2,rc2_funct_2),
    []).

fof(rc2_lattice3,axiom,(
    ? [A] : 
      ( l1_orders_2(A)
      & ~ v3_struct_0(A)
      & v1_orders_2(A)
      & v2_orders_2(A)
      & v3_orders_2(A)
      & v4_orders_2(A)
      & v1_lattice3(A)
      & v2_lattice3(A)
      & v3_lattice3(A) ) ),
    file(lattice3,rc2_lattice3),
    []).

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_relat_1,axiom,(
    ? [A] : 
      ( ~ v1_xboole_0(A)
      & v1_relat_1(A) ) ),
    file(relat_1,rc2_relat_1),
    []).

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_waybel10,axiom,(
    ! [A] : 
      ( ( ~ v3_struct_0(A)
        & v2_orders_2(A)
        & l1_orders_2(A) )
     => ? [B] : 
          ( m1_relset_1(B,u1_struct_0(A),u1_struct_0(A))
          & v1_relat_1(B)
          & v1_funct_1(B)
          & v2_funct_1(B)
          & ~ v1_xboole_0(B)
          & v1_funct_2(B,u1_struct_0(A),u1_struct_0(A))
          & v1_partfun1(B,u1_struct_0(A),u1_struct_0(A))
          & v11_quantal1(B)
          & v5_orders_3(B,A,A)
          & v17_waybel_0(B,A,A)
          & v18_waybel_0(B,A,A)
          & v19_waybel_0(B,A,A)
          & v20_waybel_0(B,A,A)
          & v21_waybel_0(B,A,A)
          & v22_waybel_0(B,A,A)
          & v6_waybel_1(B,A)
          & v7_waybel_1(B,A)
          & v8_waybel_1(B,A) ) ) ),
    file(waybel10,rc2_waybel10),
    []).

fof(rc2_waybel27,axiom,(
    ! [A,B,C] : 
    ? [D] : 
      ( m1_pboole(D,k1_funct_2(A,k1_funct_2(B,C)))
      & v1_relat_1(D)
      & v1_funct_1(D)
      & v1_waybel27(D) ) ),
    file(waybel27,rc2_waybel27),
    []).

fof(rc2_waybel_1,axiom,(
    ! [A] : 
      ( ( ~ v3_struct_0(A)
        & v2_orders_2(A)
        & l1_orders_2(A) )
     => ? [B] : 
          ( m1_relset_1(B,u1_struct_0(A),u1_struct_0(A))
          & v1_relat_1(B)
          & v1_funct_1(B)
          & ~ v1_xboole_0(B)
          & v1_funct_2(B,u1_struct_0(A),u1_struct_0(A))
          & v1_partfun1(B,u1_struct_0(A),u1_struct_0(A))
          & v6_waybel_1(B,A)
          & v7_waybel_1(B,A) ) ) ),
    file(waybel_1,rc2_waybel_1),
    []).

fof(rc2_waybel_2,axiom,(
    ? [A] : 
      ( l1_orders_2(A)
      & ~ v3_struct_0(A)
      & v1_orders_2(A)
      & v2_orders_2(A)
      & v3_orders_2(A)
      & v4_orders_2(A)
      & v1_yellow_0(A)
      & v2_yellow_0(A)
      & v3_yellow_0(A)
      & v16_waybel_0(A)
      & v24_waybel_0(A)
      & v25_waybel_0(A)
      & ~ v1_yellow_3(A)
      & v1_lattice3(A)
      & v2_lattice3(A)
      & v3_lattice3(A)
      & v2_waybel_1(A)
      & v9_waybel_1(A)
      & v10_waybel_1(A)
      & v11_waybel_1(A)
      & v3_realset2(A)
      & v1_waybel_2(A)
      & v2_waybel_2(A) ) ),
    file(waybel_2,rc2_waybel_2),
    []).

fof(rc2_yellow16,axiom,(
    ! [A] : 
      ( l1_struct_0(A)
     => ? [B] : 
          ( m1_relset_1(B,u1_struct_0(A),u1_struct_0(A))
          & v1_relat_1(B)
          & v1_funct_1(B)
          & v1_funct_2(B,u1_struct_0(A),u1_struct_0(A))
          & v11_quantal1(B) ) ) ),
    file(yellow16,rc2_yellow16),
    []).

fof(rc2_yellow_0,axiom,(
    ? [A] : 
      ( l1_orders_2(A)
      & ~ v3_struct_0(A)
      & v2_orders_2(A)
      & v3_orders_2(A)
      & v4_orders_2(A)
      & v1_lattice3(A)
      & v2_lattice3(A)
      & v3_lattice3(A)
      & v1_yellow_0(A)
      & v2_yellow_0(A)
      & v3_yellow_0(A) ) ),
    file(yellow_0,rc2_yellow_0),
    []).

fof(rc3_funct_1,axiom,(
    ? [A] : 
      ( v1_relat_1(A)
      & v1_funct_1(A)
      & v2_funct_1(A) ) ),
    file(funct_1,rc3_funct_1),
    []).

fof(rc3_partfun1,axiom,(
    ! [A] : 
    ? [B] : 
      ( m1_relset_1(B,A,A)
      & v1_relat_1(B)
      & v1_relat_2(B)
      & v3_relat_2(B)
      & v4_relat_2(B)
      & v8_relat_2(B)
      & v1_partfun1(B,A,A) ) ),
    file(partfun1,rc3_partfun1),
    []).

fof(rc3_relat_1,axiom,(
    ? [A] : 
      ( v1_relat_1(A)
      & v3_relat_1(A) ) ),
    file(relat_1,rc3_relat_1),
    []).

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

fof(rc3_waybel27,axiom,(
    ! [A,B,C] : 
    ? [D] : 
      ( m1_pboole(D,k1_funct_2(k2_zfmisc_1(A,B),C))
      & v1_relat_1(D)
      & v1_funct_1(D)
      & v2_waybel27(D) ) ),
    file(waybel27,rc3_waybel27),
    []).

fof(rc3_waybel_1,axiom,(
    ! [A] : 
      ( ( ~ v3_struct_0(A)
        & v2_orders_2(A)
        & l1_orders_2(A) )
     => ? [B] : 
          ( m1_relset_1(B,u1_struct_0(A),u1_struct_0(A))
          & v1_relat_1(B)
          & v1_funct_1(B)
          & ~ v1_xboole_0(B)
          & v1_funct_2(B,u1_struct_0(A),u1_struct_0(A))
          & v1_partfun1(B,u1_struct_0(A),u1_struct_0(A))
          & v6_waybel_1(B,A)
          & v8_waybel_1(B,A) ) ) ),
    file(waybel_1,rc3_waybel_1),
    []).

fof(rc3_yellow_0,axiom,(
    ! [A] : 
      ( l1_orders_2(A)
     => ? [B] : 
          ( m1_yellow_0(B,A)
          & v1_orders_2(B)
          & v4_yellow_0(B,A) ) ) ),
    file(yellow_0,rc3_yellow_0),
    []).

fof(rc3_yellow_9,axiom,(
    ! [A,B] : 
      ( ( ~ v3_struct_0(A)
        & l1_orders_2(A)
        & ~ v3_struct_0(B)
        & v2_orders_2(B)
        & v4_orders_2(B)
        & v2_yellow_0(B)
        & l1_orders_2(B) )
     => ? [C] : 
          ( m1_relset_1(C,u1_struct_0(A),u1_struct_0(B))
          & v1_relat_1(C)
          & v1_funct_1(C)
          & ~ v1_xboole_0(C)
          & v1_funct_2(C,u1_struct_0(A),u1_struct_0(B))
          & v17_waybel_0(C,A,B)
          & v19_waybel_0(C,A,B)
          & v21_waybel_0(C,A,B)
          & v1_partfun1(C,u1_struct_0(A),u1_struct_0(B)) ) ) ),
    file(yellow_9,rc3_yellow_9),
    []).

fof(rc4_funct_1,axiom,(
    ? [A] : 
      ( v1_relat_1(A)
      & v3_relat_1(A)
      & v1_funct_1(A) ) ),
    file(funct_1,rc4_funct_1),
    []).

fof(rc4_waybel27,axiom,(
    ? [A] : 
      ( l1_orders_2(A)
      & ~ v3_struct_0(A)
      & v1_orders_2(A)
      & v2_orders_2(A)
      & v3_orders_2(A)
      & v4_orders_2(A)
      & v1_yellow_0(A)
      & v2_yellow_0(A)
      & v3_yellow_0(A)
      & v24_waybel_0(A)
      & v25_waybel_0(A)
      & ~ v1_yellow_3(A)
      & v1_lattice3(A)
      & v2_lattice3(A)
      & v3_lattice3(A)
      & v1_monoid_0(A) ) ),
    file(waybel27,rc4_waybel27),
    []).

fof(rc4_waybel_1,axiom,(
    ? [A] : 
      ( l1_orders_2(A)
      & ~ v3_struct_0(A)
      & v1_orders_2(A)
      & v2_orders_2(A)
      & v3_orders_2(A)
      & v4_orders_2(A)
      & v1_lattice3(A)
      & v2_lattice3(A)
      & v1_yellow_0(A)
      & v2_yellow_0(A)
      & v3_yellow_0(A)
      & v2_waybel_1(A)
      & v9_waybel_1(A)
      & v10_waybel_1(A)
      & v11_waybel_1(A) ) ),
    file(waybel_1,rc4_waybel_1),
    []).

fof(rc4_yellow_0,axiom,(
    ! [A] : 
      ( ( ~ v3_struct_0(A)
        & l1_orders_2(A) )
     => ? [B] : 
          ( m1_yellow_0(B,A)
          & ~ v3_struct_0(B)
          & v1_orders_2(B)
          & v4_yellow_0(B,A) ) ) ),
    file(yellow_0,rc4_yellow_0),
    []).

fof(rc4_yellow_9,axiom,(
    ! [A,B] : 
      ( ( ~ v3_struct_0(A)
        & l1_orders_2(A)
        & ~ v3_struct_0(B)
        & v2_orders_2(B)
        & v4_orders_2(B)
        & v1_yellow_0(B)
        & l1_orders_2(B) )
     => ? [C] : 
          ( m1_relset_1(C,u1_struct_0(A),u1_struct_0(B))
          & v1_relat_1(C)
          & v1_funct_1(C)
          & ~ v1_xboole_0(C)
          & v1_funct_2(C,u1_struct_0(A),u1_struct_0(B))
          & v18_waybel_0(C,A,B)
          & v20_waybel_0(C,A,B)
          & v22_waybel_0(C,A,B)
          & v1_partfun1(C,u1_struct_0(A),u1_struct_0(B)) ) ) ),
    file(yellow_9,rc4_yellow_9),
    []).

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(rc5_waybel27,axiom,(
    ? [A] : 
      ( l1_struct_0(A)
      & ~ v3_struct_0(A)
      & v1_monoid_0(A) ) ),
    file(waybel27,rc5_waybel27),
    []).

fof(rc5_waybel_1,axiom,(
    ? [A] : 
      ( l1_orders_2(A)
      & ~ v3_struct_0(A)
      & v1_orders_2(A)
      & v2_orders_2(A)
      & v3_orders_2(A)
      & v4_orders_2(A)
      & v1_lattice3(A)
      & v2_lattice3(A)
      & v2_yellow_0(A)
      & v2_waybel_1(A)
      & v9_waybel_1(A) ) ),
    file(waybel_1,rc5_waybel_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_k6_partfun1,axiom,(
    ! [A] : k6_partfun1(A) = k6_relat_1(A) ),
    file(partfun1,k6_partfun1),
    []).

fof(redefinition_k7_funct_2,axiom,(
    ! [A,B,C,D,E] : 
      ( ( ~ v1_xboole_0(B)
        & v1_funct_1(D)
        & v1_funct_2(D,A,B)
        & m1_relset_1(D,A,B)
        & v1_funct_1(E)
        & v1_funct_2(E,B,C)
        & m1_relset_1(E,B,C) )
     => k7_funct_2(A,B,C,D,E) = k5_relat_1(D,E) ) ),
    file(funct_2,k7_funct_2),
    []).

fof(redefinition_k8_yellow_2,axiom,(
    ! [A,B,C] : 
      ( ( ~ v3_struct_0(B)
        & l1_struct_0(B)
        & v1_funct_1(C)
        & v1_funct_2(C,A,u1_struct_0(B))
        & m1_relset_1(C,A,u1_struct_0(B)) )
     => k8_yellow_2(A,B,C) = k2_relat_1(C) ) ),
    file(yellow_2,k8_yellow_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(reflexivity_r1_tarski,axiom,(
    ! [A,B] : r1_tarski(A,A) ),
    file(tarski,r1_tarski),
    []).

fof(s5_pboole__e1_60__waybel27,axiom,(
    ! [A,B,C] : 
      ( ( ~ v1_xboole_0(A)
        & ~ v3_struct_0(B)
        & v2_orders_2(B)
        & v3_orders_2(B)
        & v4_orders_2(B)
        & l1_orders_2(B)
        & ~ v3_struct_0(C)
        & v2_orders_2(C)
        & v3_orders_2(C)
        & v4_orders_2(C)
        & l1_orders_2(C) )
     => ? [D] : 
          ( m1_pboole(D,u1_struct_0(k2_waybel27(B,k6_yellow_1(A,C))))
          & ! [E] : 
              ( m1_subset_1(E,u1_struct_0(k2_waybel27(B,k6_yellow_1(A,C))))
             => k1_funct_1(D,E) = k10_funct_6(E) ) ) ) ),
    file(waybel27,s5_pboole__e1_60__waybel27),
    []).

fof(s5_pboole__e6_60__waybel27,axiom,(
    ! [A,B,C] : 
      ( ( ~ v1_xboole_0(A)
        & ~ v3_struct_0(B)
        & v2_orders_2(B)
        & v3_orders_2(B)
        & v4_orders_2(B)
        & l1_orders_2(B)
        & ~ v3_struct_0(C)
        & v2_orders_2(C)
        & v3_orders_2(C)
        & v4_orders_2(C)
        & l1_orders_2(C) )
     => ? [D] : 
          ( m1_pboole(D,u1_struct_0(k6_yellow_1(A,k2_waybel27(B,C))))
          & ! [E] : 
              ( m1_subset_1(E,u1_struct_0(k6_yellow_1(A,k2_waybel27(B,C))))
             => k1_funct_1(D,E) = k10_funct_6(E) ) ) ) ),
    file(waybel27,s5_pboole__e6_60__waybel27),
    []).

fof(t121_funct_2,axiom,(
    ! [A,B,C] : 
      ( r2_hidden(C,k1_funct_2(A,B))
     => ( v1_funct_1(C)
        & v1_funct_2(C,A,B)
        & m2_relset_1(C,A,B) ) ) ),
    file(funct_2,t121_funct_2),
    []).

fof(t17_yellow16,axiom,(
    ! [A] : 
      ( ( ~ v3_struct_0(A)
        & v2_orders_2(A)
        & v3_orders_2(A)
        & l1_orders_2(A) )
     => ! [B] : 
          ( ( ~ v3_struct_0(B)
            & v2_orders_2(B)
            & v3_orders_2(B)
            & l1_orders_2(B) )
         => ! [C] : 
              ( ( v1_funct_1(C)
                & v1_funct_2(C,u1_struct_0(A),u1_struct_0(B))
                & m2_relset_1(C,u1_struct_0(A),u1_struct_0(B)) )
             => ( v23_waybel_0(C,A,B)
              <=> ( v5_orders_3(C,A,B)
                  & ? [D] : 
                      ( v1_funct_1(D)
                      & v1_funct_2(D,u1_struct_0(B),u1_struct_0(A))
                      & v5_orders_3(D,B,A)
                      & m2_relset_1(D,u1_struct_0(B),u1_struct_0(A))
                      & k7_funct_2(u1_struct_0(B),u1_struct_0(A),u1_struct_0(B),D,C) = k7_grcat_1(B)
                      & k7_funct_2(u1_struct_0(A),u1_struct_0(B),u1_struct_0(A),C,D) = k7_grcat_1(A) ) ) ) ) ) ) ),
    file(yellow16,t17_yellow16),
    []).

fof(t19_waybel27,axiom,(
    ! [A] : 
      ( ~ v1_xboole_0(A)
     => ! [B] : 
          ( ~ v1_xboole_0(B)
         => ! [C] : 
              ( ( ~ v3_struct_0(C)
                & v2_orders_2(C)
                & v3_orders_2(C)
                & v4_orders_2(C)
                & l1_orders_2(C) )
             => ! [D] : 
                  ( ( ~ v3_struct_0(D)
                    & v4_yellow_0(D,k6_yellow_1(B,k6_yellow_1(A,C)))
                    & m1_yellow_0(D,k6_yellow_1(B,k6_yellow_1(A,C))) )
                 => ! [E] : 
                      ( ( ~ v3_struct_0(E)
                        & v4_yellow_0(E,k6_yellow_1(A,k6_yellow_1(B,C)))
                        & m1_yellow_0(E,k6_yellow_1(A,k6_yellow_1(B,C))) )
                     => ! [F] : 
                          ( ( v1_funct_1(F)
                            & v1_funct_2(F,u1_struct_0(D),u1_struct_0(E))
                            & m2_relset_1(F,u1_struct_0(D),u1_struct_0(E)) )
                         => ( v3_waybel27(F)
                           => v5_orders_3(F,D,E) ) ) ) ) ) ) ) ),
    file(waybel27,t19_waybel27),
    []).

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

fof(t22_waybel27,axiom,(
    ! [A] : 
      ( ( ~ v3_struct_0(A)
        & l1_orders_2(A) )
     => ! [B] : 
          ( ( ~ v3_struct_0(B)
            & v2_orders_2(B)
            & v4_orders_2(B)
            & l1_orders_2(B) )
         => r1_tarski(u1_struct_0(k2_waybel27(A,B)),k1_funct_2(u1_struct_0(A),u1_struct_0(B))) ) ) ),
    file(waybel27,t22_waybel27),
    []).

fof(t28_yellow_1,axiom,(
    ! [A,B] : 
      ( l1_orders_2(B)
     => k1_funct_2(A,u1_struct_0(B)) = u1_struct_0(k6_yellow_1(A,B)) ) ),
    file(yellow_1,t28_yellow_1),
    []).

fof(t2_subset,axiom,(
    ! [A,B] : 
      ( m1_subset_1(A,B)
     => ( v1_xboole_0(B)
        | r2_hidden(A,B) ) ) ),
    file(subset,t2_subset),
    []).

fof(t39_waybel27,axiom,(
    ! [A] : 
      ( ~ v1_xboole_0(A)
     => ! [B] : 
          ( ( ~ v3_struct_0(B)
            & v2_orders_2(B)
            & v3_orders_2(B)
            & v4_orders_2(B)
            & l1_orders_2(B) )
         => ! [C] : 
              ( ( ~ v3_struct_0(C)
                & v2_orders_2(C)
                & v3_orders_2(C)
                & v4_orders_2(C)
                & l1_orders_2(C) )
             => ! [D] : 
                  ( ( v1_funct_1(D)
                    & v1_funct_2(D,u1_struct_0(B),u1_struct_0(k6_yellow_1(A,C)))
                    & v22_waybel_0(D,B,k6_yellow_1(A,C))
                    & m2_relset_1(D,u1_struct_0(B),u1_struct_0(k6_yellow_1(A,C))) )
                 => ( v1_funct_1(k10_funct_6(D))
                    & v1_funct_2(k10_funct_6(D),A,u1_struct_0(k2_waybel27(B,C)))
                    & m2_relset_1(k10_funct_6(D),A,u1_struct_0(k2_waybel27(B,C))) ) ) ) ) ) ),
    file(waybel27,t39_waybel27),
    []).

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

fof(t3_waybel27,axiom,(
    ! [A] : 
      ( ~ v1_xboole_0(A)
     => ! [B] : 
          ( ~ v1_xboole_0(B)
         => ! [C,D] : 
              ( ( v1_relat_1(D)
                & v1_funct_1(D)
                & v3_waybel27(D) )
             => ! [E] : 
                  ( ( v1_relat_1(E)
                    & v1_funct_1(E)
                    & v3_waybel27(E) )
                 => ( ( r1_tarski(k1_relat_1(D),k1_funct_2(A,k1_funct_2(B,C)))
                      & r1_tarski(k2_relat_1(D),k1_relat_1(E)) )
                   => k5_relat_1(D,E) = k6_partfun1(k1_relat_1(D)) ) ) ) ) ) ),
    file(waybel27,t3_waybel27),
    []).

fof(t40_waybel27,axiom,(
    ! [A] : 
      ( ~ v1_xboole_0(A)
     => ! [B] : 
          ( ( ~ v3_struct_0(B)
            & v2_orders_2(B)
            & v3_orders_2(B)
            & v4_orders_2(B)
            & l1_orders_2(B) )
         => ! [C] : 
              ( ( ~ v3_struct_0(C)
                & v2_orders_2(C)
                & v3_orders_2(C)
                & v4_orders_2(C)
                & l1_orders_2(C) )
             => ! [D] : 
                  ( ( v1_funct_1(D)
                    & v1_funct_2(D,A,u1_struct_0(k2_waybel27(B,C)))
                    & m2_relset_1(D,A,u1_struct_0(k2_waybel27(B,C))) )
                 => ( v1_funct_1(k10_funct_6(D))
                    & v1_funct_2(k10_funct_6(D),u1_struct_0(B),u1_struct_0(k6_yellow_1(A,C)))
                    & v22_waybel_0(k10_funct_6(D),B,k6_yellow_1(A,C))
                    & m2_relset_1(k10_funct_6(D),u1_struct_0(B),u1_struct_0(k6_yellow_1(A,C))) ) ) ) ) ) ),
    file(waybel27,t40_waybel27),
    []).

fof(t41_yellow16,axiom,(
    ! [A] : 
      ( ( ~ v3_struct_0(A)
        & l1_orders_2(A) )
     => ! [B] : 
          ( ( ~ v3_struct_0(B)
            & v4_yellow_0(B,A)
            & m1_yellow_0(B,A) )
         => ! [C] : 
              ( v4_yellow_0(k6_yellow_1(C,B),k6_yellow_1(C,A))
              & m1_yellow_0(k6_yellow_1(C,B),k6_yellow_1(C,A)) ) ) ) ),
    file(yellow16,t41_yellow16),
    []).

fof(t4_funct_2,axiom,(
    ! [A,B] : 
      ( ( v1_relat_1(B)
        & v1_funct_1(B) )
     => ( r1_tarski(k2_relat_1(B),A)
       => ( v1_funct_1(B)
          & v1_funct_2(B,k1_relat_1(B),A)
          & m2_relset_1(B,k1_relat_1(B),A) ) ) ) ),
    file(funct_2,t4_funct_2),
    []).

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(t63_funct_5,axiom,(
    ! [A,B,C] : 
      ( r1_tarski(A,B)
     => r1_tarski(k1_funct_2(C,A),k1_funct_2(C,B)) ) ),
    file(funct_5,t63_funct_5),
    []).

fof(t6_boole,axiom,(
    ! [A] : 
      ( v1_xboole_0(A)
     => A = k1_xboole_0 ) ),
    file(boole,t6_boole),
    []).

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),
    []).