% Mizar problem: t42_valuat_1,valuat_1,1336,26 
fof(t42_valuat_1,conjecture,(
    ! [A] : 
      ( ~ v1_xboole_0(A)
     => ! [B] : 
          ( m2_subset_1(B,k1_qc_lang1,k2_qc_lang1)
         => ! [C] : 
              ( m2_subset_1(C,k1_qc_lang1,k2_qc_lang1)
             => ! [D] : 
                  ( m2_subset_1(D,k8_qc_lang1,k7_cqc_lang)
                 => ! [E] : 
                      ( m2_subset_1(E,k8_qc_lang1,k7_cqc_lang)
                     => ! [F] : 
                          ( m1_valuat_1(F,A)
                         => ! [G] : 
                              ( m1_subset_1(G,k8_qc_lang1)
                             => ( ( D = k17_cqc_lang(G,B)
                                  & E = k17_cqc_lang(G,C) )
                               => ( B = C
                                  | ! [H] : 
                                      ( m2_fraenkel(H,k2_qc_lang1,A,k2_valuat_1(A))
                                     => ( k8_funct_2(k2_qc_lang1,A,H,B) = k8_funct_2(k2_qc_lang1,A,H,C)
                                       => k8_funct_2(k2_valuat_1(A),k6_margrel1,k12_valuat_1(A,F,D),H) = k8_funct_2(k2_valuat_1(A),k6_margrel1,k12_valuat_1(A,F,E),H) ) ) ) ) ) ) ) ) ) ) ) ),
    inference(mizar_bg_added,[status(thm)],[antisymmetry_r2_hidden,cc10_membered,cc11_membered,cc12_membered,cc13_membered,cc14_membered,cc15_membered,cc16_membered,cc17_membered,cc18_membered,cc19_membered,cc1_arytm_3,cc1_finseq_1,cc1_funct_1,cc1_margrel1,cc1_membered,cc1_relset_1,cc1_valuat_1,cc20_membered,cc2_arytm_3,cc2_funct_1,cc2_membered,cc3_arytm_3,cc3_membered,cc4_membered,cc6_membered,cc9_membered,commutativity_k10_margrel1,commutativity_k12_margrel1,commutativity_k2_tarski,commutativity_k4_valuat_1,commutativity_k6_valuat_1,connectedness_r1_xreal_0,d12_margrel1,d13_margrel1,d14_margrel1,d17_qc_lang1,d1_valuat_1,d20_qc_lang1,d26_qc_lang1,d8_qc_lang1,d8_valuat_1,dt_k10_cqc_lang,dt_k10_margrel1,dt_k11_cqc_lang,dt_k11_margrel1,dt_k11_qc_lang1,dt_k11_valuat_1,dt_k12_margrel1,dt_k12_qc_lang1,dt_k12_valuat_1,dt_k13_qc_lang1,dt_k14_qc_lang1,dt_k15_cqc_lang,dt_k17_cqc_lang,dt_k17_qc_lang1,dt_k18_qc_lang1,dt_k19_qc_lang1,dt_k1_card_1,dt_k1_fraenkel,dt_k1_funct_1,dt_k1_funct_2,dt_k1_margrel1,dt_k1_numbers,dt_k1_qc_lang1,dt_k1_valuat_1,dt_k1_xboole_0,dt_k1_zfmisc_1,dt_k20_qc_lang1,dt_k21_qc_lang1,dt_k2_funcop_1,dt_k2_qc_lang1,dt_k2_tarski,dt_k2_valuat_1,dt_k2_zfmisc_1,dt_k3_cqc_lang,dt_k3_finseq_1,dt_k3_margrel1,dt_k3_qc_lang1,dt_k3_qc_lang3,dt_k3_valuat_1,dt_k4_cqc_lang,dt_k4_qc_lang1,dt_k4_valuat_1,dt_k5_cqc_lang,dt_k5_numbers,dt_k5_ordinal2,dt_k5_qc_lang1,dt_k5_relat_1,dt_k5_valuat_1,dt_k6_cqc_lang,dt_k6_margrel1,dt_k6_valuat_1,dt_k7_cqc_lang,dt_k7_margrel1,dt_k7_qc_lang1,dt_k7_valuat_1,dt_k8_cqc_lang,dt_k8_funct_2,dt_k8_margrel1,dt_k8_qc_lang1,dt_k8_valuat_1,dt_k9_cqc_lang,dt_k9_margrel1,dt_k9_qc_lang1,dt_k9_valuat_1,dt_m1_finseq_1,dt_m1_fraenkel,dt_m1_qc_lang1,dt_m1_relset_1,dt_m1_subset_1,dt_m1_valuat_1,dt_m2_finseq_1,dt_m2_fraenkel,dt_m2_relset_1,dt_m2_subset_1,existence_m1_finseq_1,existence_m1_fraenkel,existence_m1_qc_lang1,existence_m1_relset_1,existence_m1_subset_1,existence_m1_valuat_1,existence_m2_finseq_1,existence_m2_fraenkel,existence_m2_relset_1,existence_m2_subset_1,fc12_membered,fc13_membered,fc14_membered,fc15_membered,fc16_membered,fc1_cqc_lang,fc1_funct_1,fc1_margrel1,fc1_qc_lang1,fc1_valuat_1,fc2_cqc_lang,fc2_finseq_1,fc2_margrel1,fc2_membered,fc2_qc_lang1,fc2_valuat_1,fc3_margrel1,fc3_qc_lang1,fc3_valuat_1,fc4_margrel1,fc4_qc_lang1,fc4_valuat_1,fc5_margrel1,fc5_membered,fc5_qc_lang1,fc6_membered,fc6_qc_lang1,fraenkel_a_2_0_cqc_lang,fraenkel_a_2_1_cqc_lang,fraenkel_a_3_0_valuat_1,fraenkel_a_3_1_valuat_1,involutiveness_k11_margrel1,involutiveness_k9_margrel1,l20_valuat_1,rc1_arytm_3,rc1_cqc_lang,rc1_finseq_1,rc1_funct_1,rc1_margrel1,rc1_membered,rc1_valuat_1,rc2_finseq_1,rc2_funct_1,rc2_margrel1,rc3_finseq_1,rc3_funct_1,rc4_finseq_1,rc4_funct_1,rc6_finseq_1,rc7_finseq_1,rc8_finseq_1,redefinition_k10_cqc_lang,redefinition_k11_cqc_lang,redefinition_k11_margrel1,redefinition_k11_valuat_1,redefinition_k12_margrel1,redefinition_k15_cqc_lang,redefinition_k1_fraenkel,redefinition_k1_margrel1,redefinition_k2_valuat_1,redefinition_k3_finseq_1,redefinition_k5_cqc_lang,redefinition_k5_numbers,redefinition_k5_valuat_1,redefinition_k6_cqc_lang,redefinition_k6_valuat_1,redefinition_k8_cqc_lang,redefinition_k8_funct_2,redefinition_k8_valuat_1,redefinition_k9_cqc_lang,redefinition_m2_finseq_1,redefinition_m2_fraenkel,redefinition_m2_relset_1,redefinition_m2_subset_1,redefinition_r1_margrel1,reflexivity_r1_margrel1,reflexivity_r1_tarski,reflexivity_r1_xreal_0,s2_qc_lang1__e2_47__valuat_1,spc0_boole,spc1_boole,spc1_numerals,symmetry_r1_margrel1,t11_cqc_lang,t15_cqc_lang,t16_valuat_1,t17_cqc_lang,t17_valuat_1,t18_cqc_lang,t18_finseq_1,t19_cqc_lang,t1_numerals,t1_subset,t20_valuat_1,t22_valuat_1,t23_cqc_lang,t28_cqc_lang,t2_subset,t2_tarski,t30_cqc_lang,t31_cqc_lang,t33_cqc_lang,t36_cqc_lang,t37_cqc_lang,t39_margrel1,t3_subset,t40_cqc_lang,t41_margrel1,t45_margrel1,t4_subset,t5_subset,t6_boole,t7_boole,t7_valuat_1,t8_boole,t8_valuat_1]),
    [file(valuat_1,t42_valuat_1)]).

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

fof(cc10_membered,axiom,(
    ! [A] : 
      ( v1_membered(A)
     => ! [B] : 
          ( m1_subset_1(B,A)
         => v1_xcmplx_0(B) ) ) ),
    file(membered,cc10_membered),
    []).

fof(cc11_membered,axiom,(
    ! [A] : 
      ( v2_membered(A)
     => ! [B] : 
          ( m1_subset_1(B,A)
         => ( v1_xcmplx_0(B)
            & v1_xreal_0(B) ) ) ) ),
    file(membered,cc11_membered),
    []).

fof(cc12_membered,axiom,(
    ! [A] : 
      ( v3_membered(A)
     => ! [B] : 
          ( m1_subset_1(B,A)
         => ( v1_xcmplx_0(B)
            & v1_xreal_0(B)
            & v1_rat_1(B) ) ) ) ),
    file(membered,cc12_membered),
    []).

fof(cc13_membered,axiom,(
    ! [A] : 
      ( v4_membered(A)
     => ! [B] : 
          ( m1_subset_1(B,A)
         => ( v1_xcmplx_0(B)
            & v1_xreal_0(B)
            & v1_int_1(B)
            & v1_rat_1(B) ) ) ) ),
    file(membered,cc13_membered),
    []).

fof(cc14_membered,axiom,(
    ! [A] : 
      ( v5_membered(A)
     => ! [B] : 
          ( m1_subset_1(B,A)
         => ( v1_xcmplx_0(B)
            & v4_ordinal2(B)
            & v1_xreal_0(B)
            & v1_int_1(B)
            & v1_rat_1(B) ) ) ) ),
    file(membered,cc14_membered),
    []).

fof(cc15_membered,axiom,(
    ! [A] : 
      ( v1_xboole_0(A)
     => ( v1_membered(A)
        & v2_membered(A)
        & v3_membered(A)
        & v4_membered(A)
        & v5_membered(A) ) ) ),
    file(membered,cc15_membered),
    []).

fof(cc16_membered,axiom,(
    ! [A] : 
      ( v1_membered(A)
     => ! [B] : 
          ( m1_subset_1(B,k1_zfmisc_1(A))
         => v1_membered(B) ) ) ),
    file(membered,cc16_membered),
    []).

fof(cc17_membered,axiom,(
    ! [A] : 
      ( v2_membered(A)
     => ! [B] : 
          ( m1_subset_1(B,k1_zfmisc_1(A))
         => ( v1_membered(B)
            & v2_membered(B) ) ) ) ),
    file(membered,cc17_membered),
    []).

fof(cc18_membered,axiom,(
    ! [A] : 
      ( v3_membered(A)
     => ! [B] : 
          ( m1_subset_1(B,k1_zfmisc_1(A))
         => ( v1_membered(B)
            & v2_membered(B)
            & v3_membered(B) ) ) ) ),
    file(membered,cc18_membered),
    []).

fof(cc19_membered,axiom,(
    ! [A] : 
      ( v4_membered(A)
     => ! [B] : 
          ( m1_subset_1(B,k1_zfmisc_1(A))
         => ( v1_membered(B)
            & v2_membered(B)
            & v3_membered(B)
            & v4_membered(B) ) ) ) ),
    file(membered,cc19_membered),
    []).

fof(cc1_arytm_3,axiom,(
    ! [A] : 
      ( v3_ordinal1(A)
     => ! [B] : 
          ( m1_subset_1(B,A)
         => ( v1_ordinal1(B)
            & v2_ordinal1(B)
            & v3_ordinal1(B) ) ) ) ),
    file(arytm_3,cc1_arytm_3),
    []).

fof(cc1_finseq_1,axiom,(
    ! [A] : 
      ( ( v1_relat_1(A)
        & v1_funct_1(A)
        & v1_finseq_1(A) )
     => ( v1_relat_1(A)
        & v1_funct_1(A)
        & v1_finset_1(A) ) ) ),
    file(finseq_1,cc1_finseq_1),
    []).

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

fof(cc1_margrel1,axiom,(
    ! [A] : 
      ( m1_subset_1(A,k6_margrel1)
     => v2_margrel1(A) ) ),
    file(margrel1,cc1_margrel1),
    []).

fof(cc1_membered,axiom,(
    ! [A] : 
      ( v5_membered(A)
     => v4_membered(A) ) ),
    file(membered,cc1_membered),
    []).

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_valuat_1,axiom,(
    ! [A,B] : 
      ( m1_subset_1(B,k1_fraenkel(A,k6_margrel1))
     => v1_valuat_1(B) ) ),
    file(valuat_1,cc1_valuat_1),
    []).

fof(cc20_membered,axiom,(
    ! [A] : 
      ( v5_membered(A)
     => ! [B] : 
          ( m1_subset_1(B,k1_zfmisc_1(A))
         => ( v1_membered(B)
            & v2_membered(B)
            & v3_membered(B)
            & v4_membered(B)
            & v5_membered(B) ) ) ) ),
    file(membered,cc20_membered),
    []).

fof(cc2_arytm_3,axiom,(
    ! [A] : 
      ( ( v1_xboole_0(A)
        & v3_ordinal1(A) )
     => ( v1_ordinal1(A)
        & v2_ordinal1(A)
        & v3_ordinal1(A)
        & v4_ordinal2(A) ) ) ),
    file(arytm_3,cc2_arytm_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_membered,axiom,(
    ! [A] : 
      ( v4_membered(A)
     => v3_membered(A) ) ),
    file(membered,cc2_membered),
    []).

fof(cc3_arytm_3,axiom,(
    ! [A] : 
      ( m1_subset_1(A,k5_ordinal2)
     => ( v1_ordinal1(A)
        & v2_ordinal1(A)
        & v3_ordinal1(A)
        & v4_ordinal2(A) ) ) ),
    file(arytm_3,cc3_arytm_3),
    []).

fof(cc3_membered,axiom,(
    ! [A] : 
      ( v3_membered(A)
     => v2_membered(A) ) ),
    file(membered,cc3_membered),
    []).

fof(cc4_membered,axiom,(
    ! [A] : 
      ( v2_membered(A)
     => v1_membered(A) ) ),
    file(membered,cc4_membered),
    []).

fof(cc6_membered,axiom,(
    ! [A] : 
      ( m1_subset_1(A,k1_zfmisc_1(k1_numbers))
     => ( v1_membered(A)
        & v2_membered(A) ) ) ),
    file(membered,cc6_membered),
    []).

fof(cc9_membered,axiom,(
    ! [A] : 
      ( m1_subset_1(A,k1_zfmisc_1(k5_numbers))
     => ( v1_membered(A)
        & v2_membered(A)
        & v3_membered(A)
        & v4_membered(A)
        & v5_membered(A) ) ) ),
    file(membered,cc9_membered),
    []).

fof(commutativity_k10_margrel1,axiom,(
    ! [A,B] : 
      ( ( v2_margrel1(A)
        & v2_margrel1(B) )
     => k10_margrel1(A,B) = k10_margrel1(B,A) ) ),
    file(margrel1,k10_margrel1),
    []).

fof(commutativity_k12_margrel1,axiom,(
    ! [A,B] : 
      ( ( m1_subset_1(A,k6_margrel1)
        & m1_subset_1(B,k6_margrel1) )
     => k12_margrel1(A,B) = k12_margrel1(B,A) ) ),
    file(margrel1,k12_margrel1),
    []).

fof(commutativity_k2_tarski,axiom,(
    ! [A,B] : k2_tarski(A,B) = k2_tarski(B,A) ),
    file(tarski,k2_tarski),
    []).

fof(commutativity_k4_valuat_1,axiom,(
    ! [A,B] : 
      ( ( v1_relat_1(A)
        & v1_funct_1(A)
        & v1_valuat_1(A)
        & v1_relat_1(B)
        & v1_funct_1(B)
        & v1_valuat_1(B) )
     => k4_valuat_1(A,B) = k4_valuat_1(B,A) ) ),
    file(valuat_1,k4_valuat_1),
    []).

fof(commutativity_k6_valuat_1,axiom,(
    ! [A,B,C] : 
      ( ( ~ v1_xboole_0(A)
        & m1_subset_1(B,k1_fraenkel(A,k6_margrel1))
        & m1_subset_1(C,k1_fraenkel(A,k6_margrel1)) )
     => k6_valuat_1(A,B,C) = k6_valuat_1(A,C,B) ) ),
    file(valuat_1,k6_valuat_1),
    []).

fof(connectedness_r1_xreal_0,axiom,(
    ! [A,B] : 
      ( ( v1_xreal_0(A)
        & v1_xreal_0(B) )
     => ( r1_xreal_0(A,B)
        | r1_xreal_0(B,A) ) ) ),
    file(xreal_0,r1_xreal_0),
    []).

fof(d12_margrel1,axiom,(
    k6_margrel1 = k2_tarski(0,1) ),
    file(margrel1,d12_margrel1),
    []).

fof(d13_margrel1,axiom,(
    k7_margrel1 = 0 ),
    file(margrel1,d13_margrel1),
    []).

fof(d14_margrel1,axiom,(
    k8_margrel1 = 1 ),
    file(margrel1,d14_margrel1),
    []).

fof(d17_qc_lang1,axiom,(
    ! [A] : 
      ( m1_subset_1(A,k8_qc_lang1)
     => ( v2_qc_lang1(A)
      <=> ? [B] : 
            ( m2_subset_1(B,k1_numbers,k5_numbers)
            & ? [C] : 
                ( m2_subset_1(C,k5_qc_lang1,k7_qc_lang1(B))
                & ? [D] : 
                    ( m1_qc_lang1(D,B)
                    & A = k9_qc_lang1(C,D) ) ) ) ) ) ),
    file(qc_lang1,d17_qc_lang1),
    []).

fof(d1_valuat_1,axiom,(
    ! [A] : k1_valuat_1(A) = k1_funct_2(k2_qc_lang1,A) ),
    file(valuat_1,d1_valuat_1),
    []).

fof(d20_qc_lang1,axiom,(
    ! [A] : 
      ( m1_subset_1(A,k8_qc_lang1)
     => ( v5_qc_lang1(A)
      <=> ? [B] : 
            ( m2_subset_1(B,k1_qc_lang1,k2_qc_lang1)
            & ? [C] : 
                ( m1_subset_1(C,k8_qc_lang1)
                & A = k14_qc_lang1(B,C) ) ) ) ) ),
    file(qc_lang1,d20_qc_lang1),
    []).

fof(d26_qc_lang1,axiom,(
    ! [A] : 
      ( m1_subset_1(A,k8_qc_lang1)
     => ( v5_qc_lang1(A)
       => ! [B] : 
            ( m2_subset_1(B,k1_qc_lang1,k2_qc_lang1)
           => ( B = k20_qc_lang1(A)
            <=> ? [C] : 
                  ( m1_subset_1(C,k8_qc_lang1)
                  & A = k14_qc_lang1(B,C) ) ) ) ) ) ),
    file(qc_lang1,d26_qc_lang1),
    []).

fof(d8_qc_lang1,axiom,(
    ! [A] : 
      ( m2_subset_1(A,k1_numbers,k5_numbers)
     => ! [B] : 
          ( m2_finseq_1(B,k1_qc_lang1)
         => ( m1_qc_lang1(B,A)
          <=> k3_finseq_1(B) = A ) ) ) ),
    file(qc_lang1,d8_qc_lang1),
    []).

fof(d8_valuat_1,axiom,(
    ! [A] : 
      ( ~ v1_xboole_0(A)
     => ! [B] : 
          ( m2_subset_1(B,k1_numbers,k5_numbers)
         => ! [C] : 
              ( ( v1_cqc_lang(C,B)
                & m1_qc_lang1(C,B) )
             => ! [D] : 
                  ( m2_fraenkel(D,k2_qc_lang1,A,k2_valuat_1(A))
                 => ! [E] : 
                      ( m2_finseq_1(E,A)
                     => ( E = k8_valuat_1(A,B,C,D)
                      <=> ( k3_finseq_1(E) = B
                          & ! [F] : 
                              ( m2_subset_1(F,k1_numbers,k5_numbers)
                             => ( ( r1_xreal_0(1,F)
                                  & r1_xreal_0(F,B) )
                               => k1_funct_1(E,F) = k1_funct_1(D,k1_funct_1(C,F)) ) ) ) ) ) ) ) ) ) ),
    file(valuat_1,d8_valuat_1),
    []).

fof(dt_k10_cqc_lang,axiom,(
    ! [A] : 
      ( m1_subset_1(A,k7_cqc_lang)
     => m2_subset_1(k10_cqc_lang(A),k8_qc_lang1,k7_cqc_lang) ) ),
    file(cqc_lang,k10_cqc_lang),
    []).

fof(dt_k10_margrel1,axiom,(
    $true ),
    file(margrel1,k10_margrel1),
    []).

fof(dt_k11_cqc_lang,axiom,(
    ! [A,B] : 
      ( ( m1_subset_1(A,k7_cqc_lang)
        & m1_subset_1(B,k7_cqc_lang) )
     => m2_subset_1(k11_cqc_lang(A,B),k8_qc_lang1,k7_cqc_lang) ) ),
    file(cqc_lang,k11_cqc_lang),
    []).

fof(dt_k11_margrel1,axiom,(
    ! [A] : 
      ( m1_subset_1(A,k6_margrel1)
     => m1_subset_1(k11_margrel1(A),k6_margrel1) ) ),
    file(margrel1,k11_margrel1),
    []).

fof(dt_k11_qc_lang1,axiom,(
    m1_subset_1(k11_qc_lang1,k8_qc_lang1) ),
    file(qc_lang1,k11_qc_lang1),
    []).

fof(dt_k11_valuat_1,axiom,(
    ! [A,B,C,D] : 
      ( ( ~ v1_xboole_0(A)
        & m1_subset_1(B,k5_numbers)
        & m1_valuat_1(C,A)
        & m1_subset_1(D,k7_qc_lang1(B)) )
     => m1_subset_1(k11_valuat_1(A,B,C,D),k3_margrel1(A)) ) ),
    file(valuat_1,k11_valuat_1),
    []).

fof(dt_k12_margrel1,axiom,(
    ! [A,B] : 
      ( ( m1_subset_1(A,k6_margrel1)
        & m1_subset_1(B,k6_margrel1) )
     => m1_subset_1(k12_margrel1(A,B),k6_margrel1) ) ),
    file(margrel1,k12_margrel1),
    []).

fof(dt_k12_qc_lang1,axiom,(
    ! [A] : 
      ( m1_subset_1(A,k8_qc_lang1)
     => m1_subset_1(k12_qc_lang1(A),k8_qc_lang1) ) ),
    file(qc_lang1,k12_qc_lang1),
    []).

fof(dt_k12_valuat_1,axiom,(
    ! [A,B,C] : 
      ( ( ~ v1_xboole_0(A)
        & m1_valuat_1(B,A)
        & m1_subset_1(C,k7_cqc_lang) )
     => m2_fraenkel(k12_valuat_1(A,B,C),k2_valuat_1(A),k6_margrel1,k1_fraenkel(k2_valuat_1(A),k6_margrel1)) ) ),
    file(valuat_1,k12_valuat_1),
    []).

fof(dt_k13_qc_lang1,axiom,(
    ! [A,B] : 
      ( ( m1_subset_1(A,k8_qc_lang1)
        & m1_subset_1(B,k8_qc_lang1) )
     => m1_subset_1(k13_qc_lang1(A,B),k8_qc_lang1) ) ),
    file(qc_lang1,k13_qc_lang1),
    []).

fof(dt_k14_qc_lang1,axiom,(
    ! [A,B] : 
      ( ( m1_subset_1(A,k2_qc_lang1)
        & m1_subset_1(B,k8_qc_lang1) )
     => m1_subset_1(k14_qc_lang1(A,B),k8_qc_lang1) ) ),
    file(qc_lang1,k14_qc_lang1),
    []).

fof(dt_k15_cqc_lang,axiom,(
    ! [A,B] : 
      ( ( m1_subset_1(A,k2_qc_lang1)
        & m1_subset_1(B,k7_cqc_lang) )
     => m2_subset_1(k15_cqc_lang(A,B),k8_qc_lang1,k7_cqc_lang) ) ),
    file(cqc_lang,k15_cqc_lang),
    []).

fof(dt_k17_cqc_lang,axiom,(
    ! [A,B] : 
      ( ( m1_subset_1(A,k8_qc_lang1)
        & m1_subset_1(B,k2_qc_lang1) )
     => m1_subset_1(k17_cqc_lang(A,B),k8_qc_lang1) ) ),
    file(cqc_lang,k17_cqc_lang),
    []).

fof(dt_k17_qc_lang1,axiom,(
    ! [A] : 
      ( m1_subset_1(A,k8_qc_lang1)
     => m1_subset_1(k17_qc_lang1(A),k8_qc_lang1) ) ),
    file(qc_lang1,k17_qc_lang1),
    []).

fof(dt_k18_qc_lang1,axiom,(
    ! [A] : 
      ( m1_subset_1(A,k8_qc_lang1)
     => m1_subset_1(k18_qc_lang1(A),k8_qc_lang1) ) ),
    file(qc_lang1,k18_qc_lang1),
    []).

fof(dt_k19_qc_lang1,axiom,(
    ! [A] : 
      ( m1_subset_1(A,k8_qc_lang1)
     => m1_subset_1(k19_qc_lang1(A),k8_qc_lang1) ) ),
    file(qc_lang1,k19_qc_lang1),
    []).

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

fof(dt_k1_fraenkel,axiom,(
    ! [A,B] : 
      ( ~ v1_xboole_0(B)
     => m1_fraenkel(k1_fraenkel(A,B),A,B) ) ),
    file(fraenkel,k1_fraenkel),
    []).

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_margrel1,axiom,(
    ! [A,B,C] : 
      ( ( ~ v1_xboole_0(A)
        & ~ v1_xboole_0(B)
        & m1_subset_1(C,A) )
     => m2_fraenkel(k1_margrel1(A,B,C),B,A,k1_fraenkel(B,A)) ) ),
    file(margrel1,k1_margrel1),
    []).

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

fof(dt_k1_qc_lang1,axiom,(
    $true ),
    file(qc_lang1,k1_qc_lang1),
    []).

fof(dt_k1_valuat_1,axiom,(
    $true ),
    file(valuat_1,k1_valuat_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_k20_qc_lang1,axiom,(
    ! [A] : 
      ( m1_subset_1(A,k8_qc_lang1)
     => m2_subset_1(k20_qc_lang1(A),k1_qc_lang1,k2_qc_lang1) ) ),
    file(qc_lang1,k20_qc_lang1),
    []).

fof(dt_k21_qc_lang1,axiom,(
    ! [A] : 
      ( m1_subset_1(A,k8_qc_lang1)
     => m1_subset_1(k21_qc_lang1(A),k8_qc_lang1) ) ),
    file(qc_lang1,k21_qc_lang1),
    []).

fof(dt_k2_funcop_1,axiom,(
    $true ),
    file(funcop_1,k2_funcop_1),
    []).

fof(dt_k2_qc_lang1,axiom,(
    m1_subset_1(k2_qc_lang1,k1_zfmisc_1(k1_qc_lang1)) ),
    file(qc_lang1,k2_qc_lang1),
    []).

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

fof(dt_k2_valuat_1,axiom,(
    ! [A] : 
      ( ~ v1_xboole_0(A)
     => m1_fraenkel(k2_valuat_1(A),k2_qc_lang1,A) ) ),
    file(valuat_1,k2_valuat_1),
    []).

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

fof(dt_k3_cqc_lang,axiom,(
    $true ),
    file(cqc_lang,k3_cqc_lang),
    []).

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_margrel1,axiom,(
    $true ),
    file(margrel1,k3_margrel1),
    []).

fof(dt_k3_qc_lang1,axiom,(
    m1_subset_1(k3_qc_lang1,k1_zfmisc_1(k1_qc_lang1)) ),
    file(qc_lang1,k3_qc_lang1),
    []).

fof(dt_k3_qc_lang3,axiom,(
    ! [A] : 
      ( m1_subset_1(A,k5_numbers)
     => m2_subset_1(k3_qc_lang3(A),k1_qc_lang1,k4_qc_lang1) ) ),
    file(qc_lang3,k3_qc_lang3),
    []).

fof(dt_k3_valuat_1,axiom,(
    ! [A] : 
      ( ( v1_relat_1(A)
        & v1_funct_1(A)
        & v1_valuat_1(A) )
     => ( v1_relat_1(k3_valuat_1(A))
        & v1_funct_1(k3_valuat_1(A)) ) ) ),
    file(valuat_1,k3_valuat_1),
    []).

fof(dt_k4_cqc_lang,axiom,(
    ! [A,B] : 
      ( ( m1_finseq_1(A,k1_qc_lang1)
        & v1_funct_1(B)
        & m1_relset_1(B,k4_qc_lang1,k1_qc_lang1) )
     => m2_finseq_1(k4_cqc_lang(A,B),k1_qc_lang1) ) ),
    file(cqc_lang,k4_cqc_lang),
    []).

fof(dt_k4_qc_lang1,axiom,(
    m1_subset_1(k4_qc_lang1,k1_zfmisc_1(k1_qc_lang1)) ),
    file(qc_lang1,k4_qc_lang1),
    []).

fof(dt_k4_valuat_1,axiom,(
    ! [A,B] : 
      ( ( v1_relat_1(A)
        & v1_funct_1(A)
        & v1_valuat_1(A)
        & v1_relat_1(B)
        & v1_funct_1(B)
        & v1_valuat_1(B) )
     => ( v1_relat_1(k4_valuat_1(A,B))
        & v1_funct_1(k4_valuat_1(A,B)) ) ) ),
    file(valuat_1,k4_valuat_1),
    []).

fof(dt_k5_cqc_lang,axiom,(
    ! [A,B,C] : 
      ( ( m1_subset_1(A,k5_numbers)
        & m1_qc_lang1(B,A)
        & v1_funct_1(C)
        & m1_relset_1(C,k4_qc_lang1,k1_qc_lang1) )
     => m1_qc_lang1(k5_cqc_lang(A,B,C),A) ) ),
    file(cqc_lang,k5_cqc_lang),
    []).

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_qc_lang1,axiom,(
    $true ),
    file(qc_lang1,k5_qc_lang1),
    []).

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_valuat_1,axiom,(
    ! [A,B] : 
      ( ( ~ v1_xboole_0(A)
        & m1_subset_1(B,k1_fraenkel(A,k6_margrel1)) )
     => m2_fraenkel(k5_valuat_1(A,B),A,k6_margrel1,k1_fraenkel(A,k6_margrel1)) ) ),
    file(valuat_1,k5_valuat_1),
    []).

fof(dt_k6_cqc_lang,axiom,(
    ! [A,B] : 
      ( ( m1_subset_1(A,k4_qc_lang1)
        & m1_subset_1(B,k2_qc_lang1) )
     => ( v1_funct_1(k6_cqc_lang(A,B))
        & m2_relset_1(k6_cqc_lang(A,B),k4_qc_lang1,k1_qc_lang1) ) ) ),
    file(cqc_lang,k6_cqc_lang),
    []).

fof(dt_k6_margrel1,axiom,(
    $true ),
    file(margrel1,k6_margrel1),
    []).

fof(dt_k6_valuat_1,axiom,(
    ! [A,B,C] : 
      ( ( ~ v1_xboole_0(A)
        & m1_subset_1(B,k1_fraenkel(A,k6_margrel1))
        & m1_subset_1(C,k1_fraenkel(A,k6_margrel1)) )
     => m2_fraenkel(k6_valuat_1(A,B,C),A,k6_margrel1,k1_fraenkel(A,k6_margrel1)) ) ),
    file(valuat_1,k6_valuat_1),
    []).

fof(dt_k7_cqc_lang,axiom,(
    m1_subset_1(k7_cqc_lang,k1_zfmisc_1(k8_qc_lang1)) ),
    file(cqc_lang,k7_cqc_lang),
    []).

fof(dt_k7_margrel1,axiom,(
    m1_subset_1(k7_margrel1,k6_margrel1) ),
    file(margrel1,k7_margrel1),
    []).

fof(dt_k7_qc_lang1,axiom,(
    ! [A] : 
      ( m1_subset_1(A,k5_numbers)
     => m1_subset_1(k7_qc_lang1(A),k1_zfmisc_1(k5_qc_lang1)) ) ),
    file(qc_lang1,k7_qc_lang1),
    []).

fof(dt_k7_valuat_1,axiom,(
    ! [A,B,C] : 
      ( ( ~ v1_xboole_0(A)
        & m1_subset_1(B,k2_qc_lang1)
        & m1_subset_1(C,k1_fraenkel(k2_valuat_1(A),k6_margrel1)) )
     => m2_fraenkel(k7_valuat_1(A,B,C),k2_valuat_1(A),k6_margrel1,k1_fraenkel(k2_valuat_1(A),k6_margrel1)) ) ),
    file(valuat_1,k7_valuat_1),
    []).

fof(dt_k8_cqc_lang,axiom,(
    ! [A,B,C] : 
      ( ( m1_subset_1(A,k5_numbers)
        & m1_subset_1(B,k7_qc_lang1(A))
        & v1_cqc_lang(C,A)
        & m1_qc_lang1(C,A) )
     => m2_subset_1(k8_cqc_lang(A,B,C),k8_qc_lang1,k7_cqc_lang) ) ),
    file(cqc_lang,k8_cqc_lang),
    []).

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_margrel1,axiom,(
    m1_subset_1(k8_margrel1,k6_margrel1) ),
    file(margrel1,k8_margrel1),
    []).

fof(dt_k8_qc_lang1,axiom,(
    ~ v1_xboole_0(k8_qc_lang1) ),
    file(qc_lang1,k8_qc_lang1),
    []).

fof(dt_k8_valuat_1,axiom,(
    ! [A,B,C,D] : 
      ( ( ~ v1_xboole_0(A)
        & m1_subset_1(B,k5_numbers)
        & v1_cqc_lang(C,B)
        & m1_qc_lang1(C,B)
        & m1_subset_1(D,k2_valuat_1(A)) )
     => m2_finseq_1(k8_valuat_1(A,B,C,D),A) ) ),
    file(valuat_1,k8_valuat_1),
    []).

fof(dt_k9_cqc_lang,axiom,(
    m2_subset_1(k9_cqc_lang,k8_qc_lang1,k7_cqc_lang) ),
    file(cqc_lang,k9_cqc_lang),
    []).

fof(dt_k9_margrel1,axiom,(
    ! [A] : 
      ( v2_margrel1(A)
     => v2_margrel1(k9_margrel1(A)) ) ),
    file(margrel1,k9_margrel1),
    []).

fof(dt_k9_qc_lang1,axiom,(
    ! [A,B] : 
      ( ( m1_subset_1(A,k5_qc_lang1)
        & m1_finseq_1(B,k1_qc_lang1) )
     => m1_subset_1(k9_qc_lang1(A,B),k8_qc_lang1) ) ),
    file(qc_lang1,k9_qc_lang1),
    []).

fof(dt_k9_valuat_1,axiom,(
    ! [A,B,C,D] : 
      ( ( ~ v1_xboole_0(A)
        & m1_subset_1(B,k5_numbers)
        & v1_cqc_lang(C,B)
        & m1_qc_lang1(C,B)
        & m1_subset_1(D,k3_margrel1(A)) )
     => m2_fraenkel(k9_valuat_1(A,B,C,D),k2_valuat_1(A),k6_margrel1,k1_fraenkel(k2_valuat_1(A),k6_margrel1)) ) ),
    file(valuat_1,k9_valuat_1),
    []).

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_fraenkel,axiom,(
    ! [A,B,C] : 
      ( m1_fraenkel(C,A,B)
     => ( ~ v1_xboole_0(C)
        & v1_fraenkel(C) ) ) ),
    file(fraenkel,m1_fraenkel),
    []).

fof(dt_m1_qc_lang1,axiom,(
    ! [A] : 
      ( m1_subset_1(A,k5_numbers)
     => ! [B] : 
          ( m1_qc_lang1(B,A)
         => m2_finseq_1(B,k1_qc_lang1) ) ) ),
    file(qc_lang1,m1_qc_lang1),
    []).

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_valuat_1,axiom,(
    ! [A] : 
      ( ~ v1_xboole_0(A)
     => ! [B] : 
          ( m1_valuat_1(B,A)
         => ( v1_funct_1(B)
            & v1_funct_2(B,k5_qc_lang1,k3_margrel1(A))
            & m2_relset_1(B,k5_qc_lang1,k3_margrel1(A)) ) ) ) ),
    file(valuat_1,m1_valuat_1),
    []).

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_fraenkel,axiom,(
    ! [A,B,C] : 
      ( ( ~ v1_xboole_0(B)
        & m1_fraenkel(C,A,B) )
     => ! [D] : 
          ( m2_fraenkel(D,A,B,C)
         => ( v1_funct_1(D)
            & v1_funct_2(D,A,B)
            & m2_relset_1(D,A,B) ) ) ) ),
    file(fraenkel,m2_fraenkel),
    []).

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

fof(existence_m1_fraenkel,axiom,(
    ! [A,B] : 
    ? [C] : m1_fraenkel(C,A,B) ),
    file(fraenkel,m1_fraenkel),
    []).

fof(existence_m1_qc_lang1,axiom,(
    ! [A] : 
      ( m1_subset_1(A,k5_numbers)
     => ? [B] : m1_qc_lang1(B,A) ) ),
    file(qc_lang1,m1_qc_lang1),
    []).

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_valuat_1,axiom,(
    ! [A] : 
      ( ~ v1_xboole_0(A)
     => ? [B] : m1_valuat_1(B,A) ) ),
    file(valuat_1,m1_valuat_1),
    []).

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

fof(existence_m2_fraenkel,axiom,(
    ! [A,B,C] : 
      ( ( ~ v1_xboole_0(B)
        & m1_fraenkel(C,A,B) )
     => ? [D] : m2_fraenkel(D,A,B,C) ) ),
    file(fraenkel,m2_fraenkel),
    []).

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(fc12_membered,axiom,(
    ! [A,B] : 
      ( ( v1_xcmplx_0(A)
        & v1_xcmplx_0(B) )
     => v1_membered(k2_tarski(A,B)) ) ),
    file(membered,fc12_membered),
    []).

fof(fc13_membered,axiom,(
    ! [A,B] : 
      ( ( v1_xreal_0(A)
        & v1_xreal_0(B) )
     => ( v1_membered(k2_tarski(A,B))
        & v2_membered(k2_tarski(A,B)) ) ) ),
    file(membered,fc13_membered),
    []).

fof(fc14_membered,axiom,(
    ! [A,B] : 
      ( ( v1_rat_1(A)
        & v1_rat_1(B) )
     => ( v1_membered(k2_tarski(A,B))
        & v2_membered(k2_tarski(A,B))
        & v3_membered(k2_tarski(A,B)) ) ) ),
    file(membered,fc14_membered),
    []).

fof(fc15_membered,axiom,(
    ! [A,B] : 
      ( ( v1_int_1(A)
        & v1_int_1(B) )
     => ( v1_membered(k2_tarski(A,B))
        & v2_membered(k2_tarski(A,B))
        & v3_membered(k2_tarski(A,B))
        & v4_membered(k2_tarski(A,B)) ) ) ),
    file(membered,fc15_membered),
    []).

fof(fc16_membered,axiom,(
    ! [A,B] : 
      ( ( v4_ordinal2(A)
        & v4_ordinal2(B) )
     => ( v1_membered(k2_tarski(A,B))
        & v2_membered(k2_tarski(A,B))
        & v3_membered(k2_tarski(A,B))
        & v4_membered(k2_tarski(A,B))
        & v5_membered(k2_tarski(A,B)) ) ) ),
    file(membered,fc16_membered),
    []).

fof(fc1_cqc_lang,axiom,(
    ! [A,B] : 
      ( v1_relat_1(k3_cqc_lang(A,B))
      & v1_funct_1(k3_cqc_lang(A,B)) ) ),
    file(cqc_lang,fc1_cqc_lang),
    []).

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_margrel1,axiom,
    ( v1_xboole_0(k1_xboole_0)
    & v1_margrel1(k1_xboole_0) ),
    file(margrel1,fc1_margrel1),
    []).

fof(fc1_qc_lang1,axiom,(
    ~ v1_xboole_0(k1_qc_lang1) ),
    file(qc_lang1,fc1_qc_lang1),
    []).

fof(fc1_valuat_1,axiom,(
    ! [A] : 
      ( ~ v1_xboole_0(A)
     => ( ~ v1_xboole_0(k1_valuat_1(A))
        & v1_fraenkel(k1_valuat_1(A)) ) ) ),
    file(valuat_1,fc1_valuat_1),
    []).

fof(fc2_cqc_lang,axiom,(
    ~ v1_xboole_0(k7_cqc_lang) ),
    file(cqc_lang,fc2_cqc_lang),
    []).

fof(fc2_finseq_1,axiom,
    ( v1_xboole_0(k1_xboole_0)
    & v1_relat_1(k1_xboole_0)
    & v3_relat_1(k1_xboole_0)
    & v1_funct_1(k1_xboole_0)
    & v2_funct_1(k1_xboole_0)
    & v1_finset_1(k1_xboole_0)
    & v1_finseq_1(k1_xboole_0) ),
    file(finseq_1,fc2_finseq_1),
    []).

fof(fc2_margrel1,axiom,(
    ! [A] : 
      ( ~ v1_xboole_0(A)
     => ~ v1_xboole_0(k3_margrel1(A)) ) ),
    file(margrel1,fc2_margrel1),
    []).

fof(fc2_membered,axiom,
    ( ~ v1_xboole_0(k1_numbers)
    & v1_membered(k1_numbers)
    & v2_membered(k1_numbers) ),
    file(membered,fc2_membered),
    []).

fof(fc2_qc_lang1,axiom,(
    ~ v1_xboole_0(k2_qc_lang1) ),
    file(qc_lang1,fc2_qc_lang1),
    []).

fof(fc2_valuat_1,axiom,(
    ! [A,B] : 
      ( ( v1_relat_1(A)
        & v1_funct_1(A)
        & v1_valuat_1(A) )
     => v2_margrel1(k1_funct_1(A,B)) ) ),
    file(valuat_1,fc2_valuat_1),
    []).

fof(fc3_margrel1,axiom,(
    ~ v1_xboole_0(k6_margrel1) ),
    file(margrel1,fc3_margrel1),
    []).

fof(fc3_qc_lang1,axiom,(
    ~ v1_xboole_0(k3_qc_lang1) ),
    file(qc_lang1,fc3_qc_lang1),
    []).

fof(fc3_valuat_1,axiom,(
    ! [A] : 
      ( ( v1_relat_1(A)
        & v1_funct_1(A)
        & v1_valuat_1(A) )
     => ( v1_relat_1(k3_valuat_1(A))
        & v1_funct_1(k3_valuat_1(A))
        & v1_valuat_1(k3_valuat_1(A)) ) ) ),
    file(valuat_1,fc3_valuat_1),
    []).

fof(fc4_margrel1,axiom,(
    ! [A] : 
      ( v2_margrel1(A)
     => v2_margrel1(k9_margrel1(A)) ) ),
    file(margrel1,fc4_margrel1),
    []).

fof(fc4_qc_lang1,axiom,(
    ~ v1_xboole_0(k4_qc_lang1) ),
    file(qc_lang1,fc4_qc_lang1),
    []).

fof(fc4_valuat_1,axiom,(
    ! [A,B] : 
      ( ( v1_relat_1(A)
        & v1_funct_1(A)
        & v1_valuat_1(A)
        & v1_relat_1(B)
        & v1_funct_1(B)
        & v1_valuat_1(B) )
     => ( v1_relat_1(k4_valuat_1(A,B))
        & v1_funct_1(k4_valuat_1(A,B))
        & v1_valuat_1(k4_valuat_1(A,B)) ) ) ),
    file(valuat_1,fc4_valuat_1),
    []).

fof(fc5_margrel1,axiom,(
    ! [A,B] : 
      ( ( v2_margrel1(A)
        & v2_margrel1(B) )
     => v2_margrel1(k10_margrel1(A,B)) ) ),
    file(margrel1,fc5_margrel1),
    []).

fof(fc5_membered,axiom,
    ( v1_membered(k5_ordinal2)
    & v2_membered(k5_ordinal2)
    & v3_membered(k5_ordinal2)
    & v4_membered(k5_ordinal2)
    & v5_membered(k5_ordinal2) ),
    file(membered,fc5_membered),
    []).

fof(fc5_qc_lang1,axiom,(
    ~ v1_xboole_0(k5_qc_lang1) ),
    file(qc_lang1,fc5_qc_lang1),
    []).

fof(fc6_membered,axiom,
    ( v1_xboole_0(k1_xboole_0)
    & v1_membered(k1_xboole_0)
    & v2_membered(k1_xboole_0)
    & v3_membered(k1_xboole_0)
    & v4_membered(k1_xboole_0)
    & v5_membered(k1_xboole_0) ),
    file(membered,fc6_membered),
    []).

fof(fc6_qc_lang1,axiom,(
    ! [A] : 
      ( m1_subset_1(A,k5_numbers)
     => ~ v1_xboole_0(k7_qc_lang1(A)) ) ),
    file(qc_lang1,fc6_qc_lang1),
    []).

fof(fraenkel_a_2_0_cqc_lang,axiom,(
    ! [A,B,C] : 
      ( ( m2_subset_1(B,k1_numbers,k5_numbers)
        & m1_qc_lang1(C,B) )
     => ( r2_hidden(A,a_2_0_cqc_lang(B,C))
      <=> ? [D] : 
            ( m2_subset_1(D,k1_numbers,k5_numbers)
            & A = k1_funct_1(C,D)
            & r1_xreal_0(1,D)
            & r1_xreal_0(D,k3_finseq_1(C))
            & r2_hidden(k1_funct_1(C,D),k4_qc_lang1) ) ) ) ),
    file(cqc_lang,a_2_0_cqc_lang),
    []).

fof(fraenkel_a_2_1_cqc_lang,axiom,(
    ! [A,B,C] : 
      ( ( m2_subset_1(B,k1_numbers,k5_numbers)
        & m1_qc_lang1(C,B) )
     => ( r2_hidden(A,a_2_1_cqc_lang(B,C))
      <=> ? [D] : 
            ( m2_subset_1(D,k1_numbers,k5_numbers)
            & A = k1_funct_1(C,D)
            & r1_xreal_0(1,D)
            & r1_xreal_0(D,k3_finseq_1(C))
            & r2_hidden(k1_funct_1(C,D),k3_qc_lang1) ) ) ) ),
    file(cqc_lang,a_2_1_cqc_lang),
    []).

fof(fraenkel_a_3_0_valuat_1,axiom,(
    ! [A,B,C,D] : 
      ( ( m2_subset_1(B,k1_qc_lang1,k2_qc_lang1)
        & m2_subset_1(C,k1_numbers,k5_numbers)
        & m1_qc_lang1(D,C) )
     => ( r2_hidden(A,a_3_0_valuat_1(B,C,D))
      <=> ? [E] : 
            ( m2_subset_1(E,k1_numbers,k5_numbers)
            & A = k1_funct_1(k5_cqc_lang(C,D,k6_cqc_lang(k3_qc_lang3(0),B)),E)
            & r1_xreal_0(1,E)
            & r1_xreal_0(E,k3_finseq_1(k5_cqc_lang(C,D,k6_cqc_lang(k3_qc_lang3(0),B))))
            & r2_hidden(k1_funct_1(k5_cqc_lang(C,D,k6_cqc_lang(k3_qc_lang3(0),B)),E),k4_qc_lang1) ) ) ) ),
    file(valuat_1,a_3_0_valuat_1),
    []).

fof(fraenkel_a_3_1_valuat_1,axiom,(
    ! [A,B,C,D] : 
      ( ( m2_subset_1(B,k1_qc_lang1,k2_qc_lang1)
        & m2_subset_1(C,k1_numbers,k5_numbers)
        & m1_qc_lang1(D,C) )
     => ( r2_hidden(A,a_3_1_valuat_1(B,C,D))
      <=> ? [E] : 
            ( m2_subset_1(E,k1_numbers,k5_numbers)
            & A = k1_funct_1(k5_cqc_lang(C,D,k6_cqc_lang(k3_qc_lang3(0),B)),E)
            & r1_xreal_0(1,E)
            & r1_xreal_0(E,k3_finseq_1(k5_cqc_lang(C,D,k6_cqc_lang(k3_qc_lang3(0),B))))
            & r2_hidden(k1_funct_1(k5_cqc_lang(C,D,k6_cqc_lang(k3_qc_lang3(0),B)),E),k3_qc_lang1) ) ) ) ),
    file(valuat_1,a_3_1_valuat_1),
    []).

fof(involutiveness_k11_margrel1,axiom,(
    ! [A] : 
      ( m1_subset_1(A,k6_margrel1)
     => k11_margrel1(k11_margrel1(A)) = A ) ),
    file(margrel1,k11_margrel1),
    []).

fof(involutiveness_k9_margrel1,axiom,(
    ! [A] : 
      ( v2_margrel1(A)
     => k9_margrel1(k9_margrel1(A)) = A ) ),
    file(margrel1,k9_margrel1),
    []).

fof(l20_valuat_1,axiom,(
    ! [A] : 
      ( m2_subset_1(A,k8_qc_lang1,k7_cqc_lang)
     => ! [B] : 
          ( ~ v1_xboole_0(B)
         => ! [C] : 
              ( m1_valuat_1(C,B)
             => ( k12_valuat_1(B,C,k9_cqc_lang) = k1_margrel1(k6_margrel1,k2_valuat_1(B),k8_margrel1)
                & ! [D] : 
                    ( m2_subset_1(D,k1_numbers,k5_numbers)
                   => ! [E] : 
                        ( ( v1_cqc_lang(E,D)
                          & m1_qc_lang1(E,D) )
                       => ! [F] : 
                            ( m2_subset_1(F,k5_qc_lang1,k7_qc_lang1(D))
                           => k12_valuat_1(B,C,k8_cqc_lang(D,F,E)) = k9_valuat_1(B,D,E,k11_valuat_1(B,D,C,F)) ) ) )
                & ! [D] : 
                    ( m2_subset_1(D,k8_qc_lang1,k7_cqc_lang)
                   => k12_valuat_1(B,C,k10_cqc_lang(D)) = k5_valuat_1(k2_valuat_1(B),k12_valuat_1(B,C,D)) )
                & ! [D] : 
                    ( m2_subset_1(D,k8_qc_lang1,k7_cqc_lang)
                   => k12_valuat_1(B,C,k11_cqc_lang(A,D)) = k6_valuat_1(k2_valuat_1(B),k12_valuat_1(B,C,A),k12_valuat_1(B,C,D)) )
                & ! [D] : 
                    ( m2_subset_1(D,k1_qc_lang1,k2_qc_lang1)
                   => k12_valuat_1(B,C,k15_cqc_lang(D,A)) = k7_valuat_1(B,D,k12_valuat_1(B,C,A)) ) ) ) ) ) ),
    file(valuat_1,l20_valuat_1),
    []).

fof(rc1_arytm_3,axiom,(
    ? [A] : 
      ( ~ v1_xboole_0(A)
      & v1_ordinal1(A)
      & v2_ordinal1(A)
      & v3_ordinal1(A)
      & v4_ordinal2(A) ) ),
    file(arytm_3,rc1_arytm_3),
    []).

fof(rc1_cqc_lang,axiom,(
    ! [A] : 
      ( m1_subset_1(A,k5_numbers)
     => ? [B] : 
          ( m1_qc_lang1(B,A)
          & v1_relat_1(B)
          & v1_funct_1(B)
          & v1_finseq_1(B)
          & v1_cqc_lang(B,A) ) ) ),
    file(cqc_lang,rc1_cqc_lang),
    []).

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

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

fof(rc1_margrel1,axiom,(
    ? [A] : v1_margrel1(A) ),
    file(margrel1,rc1_margrel1),
    []).

fof(rc1_membered,axiom,(
    ? [A] : 
      ( ~ v1_xboole_0(A)
      & v1_membered(A)
      & v2_membered(A)
      & v3_membered(A)
      & v4_membered(A)
      & v5_membered(A) ) ),
    file(membered,rc1_membered),
    []).

fof(rc1_valuat_1,axiom,(
    ? [A] : 
      ( v1_relat_1(A)
      & v1_funct_1(A)
      & v1_valuat_1(A) ) ),
    file(valuat_1,rc1_valuat_1),
    []).

fof(rc2_finseq_1,axiom,(
    ! [A] : 
    ? [B] : 
      ( m1_relset_1(B,k5_numbers,A)
      & v1_relat_1(B)
      & v1_funct_1(B)
      & v1_finset_1(B)
      & v1_finseq_1(B) ) ),
    file(finseq_1,rc2_finseq_1),
    []).

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_margrel1,axiom,(
    ? [A] : v2_margrel1(A) ),
    file(margrel1,rc2_margrel1),
    []).

fof(rc3_finseq_1,axiom,(
    ? [A] : 
      ( v1_xboole_0(A)
      & v1_relat_1(A)
      & v1_funct_1(A)
      & v2_funct_1(A)
      & v1_finset_1(A)
      & v1_finseq_1(A) ) ),
    file(finseq_1,rc3_finseq_1),
    []).

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

fof(rc4_finseq_1,axiom,(
    ! [A] : 
    ? [B] : 
      ( m1_finseq_1(B,A)
      & v1_xboole_0(B)
      & v1_relat_1(B)
      & v1_funct_1(B)
      & v2_funct_1(B)
      & v1_finset_1(B)
      & v1_finseq_1(B) ) ),
    file(finseq_1,rc4_finseq_1),
    []).

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

fof(rc6_finseq_1,axiom,(
    ? [A] : 
      ( v1_xboole_0(A)
      & v1_relat_1(A)
      & v1_funct_1(A)
      & v2_funct_1(A)
      & v1_finset_1(A) ) ),
    file(finseq_1,rc6_finseq_1),
    []).

fof(rc7_finseq_1,axiom,(
    ? [A] : 
      ( ~ v1_xboole_0(A)
      & v1_relat_1(A)
      & v1_funct_1(A)
      & v1_finset_1(A) ) ),
    file(finseq_1,rc7_finseq_1),
    []).

fof(rc8_finseq_1,axiom,(
    ? [A] : 
      ( ~ v1_xboole_0(A)
      & v1_relat_1(A)
      & v1_funct_1(A)
      & v1_finset_1(A)
      & v1_finseq_1(A) ) ),
    file(finseq_1,rc8_finseq_1),
    []).

fof(redefinition_k10_cqc_lang,axiom,(
    ! [A] : 
      ( m1_subset_1(A,k7_cqc_lang)
     => k10_cqc_lang(A) = k12_qc_lang1(A) ) ),
    file(cqc_lang,k10_cqc_lang),
    []).

fof(redefinition_k11_cqc_lang,axiom,(
    ! [A,B] : 
      ( ( m1_subset_1(A,k7_cqc_lang)
        & m1_subset_1(B,k7_cqc_lang) )
     => k11_cqc_lang(A,B) = k13_qc_lang1(A,B) ) ),
    file(cqc_lang,k11_cqc_lang),
    []).

fof(redefinition_k11_margrel1,axiom,(
    ! [A] : 
      ( m1_subset_1(A,k6_margrel1)
     => k11_margrel1(A) = k9_margrel1(A) ) ),
    file(margrel1,k11_margrel1),
    []).

fof(redefinition_k11_valuat_1,axiom,(
    ! [A,B,C,D] : 
      ( ( ~ v1_xboole_0(A)
        & m1_subset_1(B,k5_numbers)
        & m1_valuat_1(C,A)
        & m1_subset_1(D,k7_qc_lang1(B)) )
     => k11_valuat_1(A,B,C,D) = k1_funct_1(C,D) ) ),
    file(valuat_1,k11_valuat_1),
    []).

fof(redefinition_k12_margrel1,axiom,(
    ! [A,B] : 
      ( ( m1_subset_1(A,k6_margrel1)
        & m1_subset_1(B,k6_margrel1) )
     => k12_margrel1(A,B) = k10_margrel1(A,B) ) ),
    file(margrel1,k12_margrel1),
    []).

fof(redefinition_k15_cqc_lang,axiom,(
    ! [A,B] : 
      ( ( m1_subset_1(A,k2_qc_lang1)
        & m1_subset_1(B,k7_cqc_lang) )
     => k15_cqc_lang(A,B) = k14_qc_lang1(A,B) ) ),
    file(cqc_lang,k15_cqc_lang),
    []).

fof(redefinition_k1_fraenkel,axiom,(
    ! [A,B] : 
      ( ~ v1_xboole_0(B)
     => k1_fraenkel(A,B) = k1_funct_2(A,B) ) ),
    file(fraenkel,k1_fraenkel),
    []).

fof(redefinition_k1_margrel1,axiom,(
    ! [A,B,C] : 
      ( ( ~ v1_xboole_0(A)
        & ~ v1_xboole_0(B)
        & m1_subset_1(C,A) )
     => k1_margrel1(A,B,C) = k2_funcop_1(B,C) ) ),
    file(margrel1,k1_margrel1),
    []).

fof(redefinition_k2_valuat_1,axiom,(
    ! [A] : 
      ( ~ v1_xboole_0(A)
     => k2_valuat_1(A) = k1_valuat_1(A) ) ),
    file(valuat_1,k2_valuat_1),
    []).

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_k5_cqc_lang,axiom,(
    ! [A,B,C] : 
      ( ( m1_subset_1(A,k5_numbers)
        & m1_qc_lang1(B,A)
        & v1_funct_1(C)
        & m1_relset_1(C,k4_qc_lang1,k1_qc_lang1) )
     => k5_cqc_lang(A,B,C) = k4_cqc_lang(B,C) ) ),
    file(cqc_lang,k5_cqc_lang),
    []).

fof(redefinition_k5_numbers,axiom,(
    k5_numbers = k5_ordinal2 ),
    file(numbers,k5_numbers),
    []).

fof(redefinition_k5_valuat_1,axiom,(
    ! [A,B] : 
      ( ( ~ v1_xboole_0(A)
        & m1_subset_1(B,k1_fraenkel(A,k6_margrel1)) )
     => k5_valuat_1(A,B) = k3_valuat_1(B) ) ),
    file(valuat_1,k5_valuat_1),
    []).

fof(redefinition_k6_cqc_lang,axiom,(
    ! [A,B] : 
      ( ( m1_subset_1(A,k4_qc_lang1)
        & m1_subset_1(B,k2_qc_lang1) )
     => k6_cqc_lang(A,B) = k3_cqc_lang(A,B) ) ),
    file(cqc_lang,k6_cqc_lang),
    []).

fof(redefinition_k6_valuat_1,axiom,(
    ! [A,B,C] : 
      ( ( ~ v1_xboole_0(A)
        & m1_subset_1(B,k1_fraenkel(A,k6_margrel1))
        & m1_subset_1(C,k1_fraenkel(A,k6_margrel1)) )
     => k6_valuat_1(A,B,C) = k4_valuat_1(B,C) ) ),
    file(valuat_1,k6_valuat_1),
    []).

fof(redefinition_k8_cqc_lang,axiom,(
    ! [A,B,C] : 
      ( ( m1_subset_1(A,k5_numbers)
        & m1_subset_1(B,k7_qc_lang1(A))
        & v1_cqc_lang(C,A)
        & m1_qc_lang1(C,A) )
     => k8_cqc_lang(A,B,C) = k9_qc_lang1(B,C) ) ),
    file(cqc_lang,k8_cqc_lang),
    []).

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_valuat_1,axiom,(
    ! [A,B,C,D] : 
      ( ( ~ v1_xboole_0(A)
        & m1_subset_1(B,k5_numbers)
        & v1_cqc_lang(C,B)
        & m1_qc_lang1(C,B)
        & m1_subset_1(D,k2_valuat_1(A)) )
     => k8_valuat_1(A,B,C,D) = k5_relat_1(C,D) ) ),
    file(valuat_1,k8_valuat_1),
    []).

fof(redefinition_k9_cqc_lang,axiom,(
    k9_cqc_lang = k11_qc_lang1 ),
    file(cqc_lang,k9_cqc_lang),
    []).

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_fraenkel,axiom,(
    ! [A,B,C] : 
      ( ( ~ v1_xboole_0(B)
        & m1_fraenkel(C,A,B) )
     => ! [D] : 
          ( m2_fraenkel(D,A,B,C)
        <=> m1_subset_1(D,C) ) ) ),
    file(fraenkel,m2_fraenkel),
    []).

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_r1_margrel1,axiom,(
    ! [A,B,C] : 
      ( ( ~ v1_xboole_0(A)
        & m1_subset_1(B,k3_margrel1(A))
        & m1_subset_1(C,k3_margrel1(A)) )
     => ( r1_margrel1(A,B,C)
      <=> B = C ) ) ),
    file(margrel1,r1_margrel1),
    []).

fof(reflexivity_r1_margrel1,axiom,(
    ! [A,B,C] : 
      ( ( ~ v1_xboole_0(A)
        & m1_subset_1(B,k3_margrel1(A))
        & m1_subset_1(C,k3_margrel1(A)) )
     => r1_margrel1(A,B,B) ) ),
    file(margrel1,r1_margrel1),
    []).

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

fof(reflexivity_r1_xreal_0,axiom,(
    ! [A,B] : 
      ( ( v1_xreal_0(A)
        & v1_xreal_0(B) )
     => r1_xreal_0(A,A) ) ),
    file(xreal_0,r1_xreal_0),
    []).

fof(s2_qc_lang1__e2_47__valuat_1,axiom,(
    ! [A,B] : 
      ( ( ~ v1_xboole_0(A)
        & m1_valuat_1(B,A) )
     => ( ! [C] : 
            ( m1_subset_1(C,k8_qc_lang1)
           => ( ( v2_qc_lang1(C)
               => ! [D] : 
                    ( m2_subset_1(D,k1_qc_lang1,k2_qc_lang1)
                   => ! [E] : 
                        ( m2_subset_1(E,k1_qc_lang1,k2_qc_lang1)
                       => ! [F] : 
                            ( m2_subset_1(F,k8_qc_lang1,k7_cqc_lang)
                           => ! [G] : 
                                ( m2_subset_1(G,k8_qc_lang1,k7_cqc_lang)
                               => ( ( F = k17_cqc_lang(C,D)
                                    & G = k17_cqc_lang(C,E) )
                                 => ( D = E
                                    | ! [H] : 
                                        ( m2_fraenkel(H,k2_qc_lang1,A,k2_valuat_1(A))
                                       => ( k8_funct_2(k2_qc_lang1,A,H,D) = k8_funct_2(k2_qc_lang1,A,H,E)
                                         => k8_funct_2(k2_valuat_1(A),k6_margrel1,k12_valuat_1(A,B,F),H) = k8_funct_2(k2_valuat_1(A),k6_margrel1,k12_valuat_1(A,B,G),H) ) ) ) ) ) ) ) ) )
              & ! [I] : 
                  ( m2_subset_1(I,k1_qc_lang1,k2_qc_lang1)
                 => ! [J] : 
                      ( m2_subset_1(J,k1_qc_lang1,k2_qc_lang1)
                     => ! [K] : 
                          ( m2_subset_1(K,k8_qc_lang1,k7_cqc_lang)
                         => ! [L] : 
                              ( m2_subset_1(L,k8_qc_lang1,k7_cqc_lang)
                             => ( ( K = k17_cqc_lang(k11_qc_lang1,I)
                                  & L = k17_cqc_lang(k11_qc_lang1,J) )
                               => ( I = J
                                  | ! [M] : 
                                      ( m2_fraenkel(M,k2_qc_lang1,A,k2_valuat_1(A))
                                     => ( k8_funct_2(k2_qc_lang1,A,M,I) = k8_funct_2(k2_qc_lang1,A,M,J)
                                       => k8_funct_2(k2_valuat_1(A),k6_margrel1,k12_valuat_1(A,B,K),M) = k8_funct_2(k2_valuat_1(A),k6_margrel1,k12_valuat_1(A,B,L),M) ) ) ) ) ) ) ) )
              & ( ( v3_qc_lang1(C)
                  & ! [N] : 
                      ( m2_subset_1(N,k1_qc_lang1,k2_qc_lang1)
                     => ! [O] : 
                          ( m2_subset_1(O,k1_qc_lang1,k2_qc_lang1)
                         => ! [P] : 
                              ( m2_subset_1(P,k8_qc_lang1,k7_cqc_lang)
                             => ! [Q] : 
                                  ( m2_subset_1(Q,k8_qc_lang1,k7_cqc_lang)
                                 => ( ( P = k17_cqc_lang(k17_qc_lang1(C),N)
                                      & Q = k17_cqc_lang(k17_qc_lang1(C),O) )
                                   => ( N = O
                                      | ! [R] : 
                                          ( m2_fraenkel(R,k2_qc_lang1,A,k2_valuat_1(A))
                                         => ( k8_funct_2(k2_qc_lang1,A,R,N) = k8_funct_2(k2_qc_lang1,A,R,O)
                                           => k8_funct_2(k2_valuat_1(A),k6_margrel1,k12_valuat_1(A,B,P),R) = k8_funct_2(k2_valuat_1(A),k6_margrel1,k12_valuat_1(A,B,Q),R) ) ) ) ) ) ) ) ) )
               => ! [S] : 
                    ( m2_subset_1(S,k1_qc_lang1,k2_qc_lang1)
                   => ! [T] : 
                        ( m2_subset_1(T,k1_qc_lang1,k2_qc_lang1)
                       => ! [U] : 
                            ( m2_subset_1(U,k8_qc_lang1,k7_cqc_lang)
                           => ! [V] : 
                                ( m2_subset_1(V,k8_qc_lang1,k7_cqc_lang)
                               => ( ( U = k17_cqc_lang(C,S)
                                    & V = k17_cqc_lang(C,T) )
                                 => ( S = T
                                    | ! [W] : 
                                        ( m2_fraenkel(W,k2_qc_lang1,A,k2_valuat_1(A))
                                       => ( k8_funct_2(k2_qc_lang1,A,W,S) = k8_funct_2(k2_qc_lang1,A,W,T)
                                         => k8_funct_2(k2_valuat_1(A),k6_margrel1,k12_valuat_1(A,B,U),W) = k8_funct_2(k2_valuat_1(A),k6_margrel1,k12_valuat_1(A,B,V),W) ) ) ) ) ) ) ) ) )
              & ( ( v4_qc_lang1(C)
                  & ! [X] : 
                      ( m2_subset_1(X,k1_qc_lang1,k2_qc_lang1)
                     => ! [Y] : 
                          ( m2_subset_1(Y,k1_qc_lang1,k2_qc_lang1)
                         => ! [Z] : 
                              ( m2_subset_1(Z,k8_qc_lang1,k7_cqc_lang)
                             => ! [A1] : 
                                  ( m2_subset_1(A1,k8_qc_lang1,k7_cqc_lang)
                                 => ( ( Z = k17_cqc_lang(k18_qc_lang1(C),X)
                                      & A1 = k17_cqc_lang(k18_qc_lang1(C),Y) )
                                   => ( X = Y
                                      | ! [B1] : 
                                          ( m2_fraenkel(B1,k2_qc_lang1,A,k2_valuat_1(A))
                                         => ( k8_funct_2(k2_qc_lang1,A,B1,X) = k8_funct_2(k2_qc_lang1,A,B1,Y)
                                           => k8_funct_2(k2_valuat_1(A),k6_margrel1,k12_valuat_1(A,B,Z),B1) = k8_funct_2(k2_valuat_1(A),k6_margrel1,k12_valuat_1(A,B,A1),B1) ) ) ) ) ) ) ) )
                  & ! [C1] : 
                      ( m2_subset_1(C1,k1_qc_lang1,k2_qc_lang1)
                     => ! [D1] : 
                          ( m2_subset_1(D1,k1_qc_lang1,k2_qc_lang1)
                         => ! [E1] : 
                              ( m2_subset_1(E1,k8_qc_lang1,k7_cqc_lang)
                             => ! [F1] : 
                                  ( m2_subset_1(F1,k8_qc_lang1,k7_cqc_lang)
                                 => ( ( E1 = k17_cqc_lang(k19_qc_lang1(C),C1)
                                      & F1 = k17_cqc_lang(k19_qc_lang1(C),D1) )
                                   => ( C1 = D1
                                      | ! [G1] : 
                                          ( m2_fraenkel(G1,k2_qc_lang1,A,k2_valuat_1(A))
                                         => ( k8_funct_2(k2_qc_lang1,A,G1,C1) = k8_funct_2(k2_qc_lang1,A,G1,D1)
                                           => k8_funct_2(k2_valuat_1(A),k6_margrel1,k12_valuat_1(A,B,E1),G1) = k8_funct_2(k2_valuat_1(A),k6_margrel1,k12_valuat_1(A,B,F1),G1) ) ) ) ) ) ) ) ) )
               => ! [H1] : 
                    ( m2_subset_1(H1,k1_qc_lang1,k2_qc_lang1)
                   => ! [I1] : 
                        ( m2_subset_1(I1,k1_qc_lang1,k2_qc_lang1)
                       => ! [J1] : 
                            ( m2_subset_1(J1,k8_qc_lang1,k7_cqc_lang)
                           => ! [K1] : 
                                ( m2_subset_1(K1,k8_qc_lang1,k7_cqc_lang)
                               => ( ( J1 = k17_cqc_lang(C,H1)
                                    & K1 = k17_cqc_lang(C,I1) )
                                 => ( H1 = I1
                                    | ! [L1] : 
                                        ( m2_fraenkel(L1,k2_qc_lang1,A,k2_valuat_1(A))
                                       => ( k8_funct_2(k2_qc_lang1,A,L1,H1) = k8_funct_2(k2_qc_lang1,A,L1,I1)
                                         => k8_funct_2(k2_valuat_1(A),k6_margrel1,k12_valuat_1(A,B,J1),L1) = k8_funct_2(k2_valuat_1(A),k6_margrel1,k12_valuat_1(A,B,K1),L1) ) ) ) ) ) ) ) ) )
              & ( ( v5_qc_lang1(C)
                  & ! [M1] : 
                      ( m2_subset_1(M1,k1_qc_lang1,k2_qc_lang1)
                     => ! [N1] : 
                          ( m2_subset_1(N1,k1_qc_lang1,k2_qc_lang1)
                         => ! [O1] : 
                              ( m2_subset_1(O1,k8_qc_lang1,k7_cqc_lang)
                             => ! [P1] : 
                                  ( m2_subset_1(P1,k8_qc_lang1,k7_cqc_lang)
                                 => ( ( O1 = k17_cqc_lang(k21_qc_lang1(C),M1)
                                      & P1 = k17_cqc_lang(k21_qc_lang1(C),N1) )
                                   => ( M1 = N1
                                      | ! [Q1] : 
                                          ( m2_fraenkel(Q1,k2_qc_lang1,A,k2_valuat_1(A))
                                         => ( k8_funct_2(k2_qc_lang1,A,Q1,M1) = k8_funct_2(k2_qc_lang1,A,Q1,N1)
                                           => k8_funct_2(k2_valuat_1(A),k6_margrel1,k12_valuat_1(A,B,O1),Q1) = k8_funct_2(k2_valuat_1(A),k6_margrel1,k12_valuat_1(A,B,P1),Q1) ) ) ) ) ) ) ) ) )
               => ! [R1] : 
                    ( m2_subset_1(R1,k1_qc_lang1,k2_qc_lang1)
                   => ! [S1] : 
                        ( m2_subset_1(S1,k1_qc_lang1,k2_qc_lang1)
                       => ! [T1] : 
                            ( m2_subset_1(T1,k8_qc_lang1,k7_cqc_lang)
                           => ! [U1] : 
                                ( m2_subset_1(U1,k8_qc_lang1,k7_cqc_lang)
                               => ( ( T1 = k17_cqc_lang(C,R1)
                                    & U1 = k17_cqc_lang(C,S1) )
                                 => ( R1 = S1
                                    | ! [V1] : 
                                        ( m2_fraenkel(V1,k2_qc_lang1,A,k2_valuat_1(A))
                                       => ( k8_funct_2(k2_qc_lang1,A,V1,R1) = k8_funct_2(k2_qc_lang1,A,V1,S1)
                                         => k8_funct_2(k2_valuat_1(A),k6_margrel1,k12_valuat_1(A,B,T1),V1) = k8_funct_2(k2_valuat_1(A),k6_margrel1,k12_valuat_1(A,B,U1),V1) ) ) ) ) ) ) ) ) ) ) )
       => ! [C] : 
            ( m1_subset_1(C,k8_qc_lang1)
           => ! [W1] : 
                ( m2_subset_1(W1,k1_qc_lang1,k2_qc_lang1)
               => ! [X1] : 
                    ( m2_subset_1(X1,k1_qc_lang1,k2_qc_lang1)
                   => ! [Y1] : 
                        ( m2_subset_1(Y1,k8_qc_lang1,k7_cqc_lang)
                       => ! [Z1] : 
                            ( m2_subset_1(Z1,k8_qc_lang1,k7_cqc_lang)
                           => ( ( Y1 = k17_cqc_lang(C,W1)
                                & Z1 = k17_cqc_lang(C,X1) )
                             => ( W1 = X1
                                | ! [A2] : 
                                    ( m2_fraenkel(A2,k2_qc_lang1,A,k2_valuat_1(A))
                                   => ( k8_funct_2(k2_qc_lang1,A,A2,W1) = k8_funct_2(k2_qc_lang1,A,A2,X1)
                                     => k8_funct_2(k2_valuat_1(A),k6_margrel1,k12_valuat_1(A,B,Y1),A2) = k8_funct_2(k2_valuat_1(A),k6_margrel1,k12_valuat_1(A,B,Z1),A2) ) ) ) ) ) ) ) ) ) ) ) ),
    file(valuat_1,s2_qc_lang1__e2_47__valuat_1),
    []).

fof(spc0_boole,axiom,(
    v1_xboole_0(0) ),
    file(boole,spc0_boole),
    []).

fof(spc1_boole,axiom,(
    ~ v1_xboole_0(1) ),
    file(boole,spc1_boole),
    []).

fof(spc1_numerals,axiom,
    ( v2_xreal_0(1)
    & m1_subset_1(1,k5_numbers) ),
    file(numerals,spc1_numerals),
    []).

fof(symmetry_r1_margrel1,axiom,(
    ! [A,B,C] : 
      ( ( ~ v1_xboole_0(A)
        & m1_subset_1(B,k3_margrel1(A))
        & m1_subset_1(C,k3_margrel1(A)) )
     => ( r1_margrel1(A,B,C)
       => r1_margrel1(A,C,B) ) ) ),
    file(margrel1,r1_margrel1),
    []).

fof(t11_cqc_lang,axiom,(
    ! [A] : 
      ( m2_subset_1(A,k1_numbers,k5_numbers)
     => ! [B] : 
          ( m2_subset_1(B,k1_qc_lang1,k2_qc_lang1)
         => ! [C] : 
              ( m2_subset_1(C,k1_qc_lang1,k4_qc_lang1)
             => ! [D] : 
                  ( m2_finseq_1(D,k1_qc_lang1)
                 => ! [E] : 
                      ( m2_finseq_1(E,k1_qc_lang1)
                     => ! [F] : 
                          ( ( v1_funct_1(F)
                            & m2_relset_1(F,k4_qc_lang1,k1_qc_lang1) )
                         => ( ( F = k6_cqc_lang(C,B)
                              & D = k4_cqc_lang(E,F)
                              & r1_xreal_0(1,A)
                              & r1_xreal_0(A,k3_finseq_1(E)) )
                           => ( ( k1_funct_1(E,A) = C
                               => k1_funct_1(D,A) = B )
                              & ( k1_funct_1(E,A) != C
                               => k1_funct_1(D,A) = k1_funct_1(E,A) ) ) ) ) ) ) ) ) ) ),
    file(cqc_lang,t11_cqc_lang),
    []).

fof(t15_cqc_lang,axiom,(
    ! [A] : 
      ( m2_subset_1(A,k1_numbers,k5_numbers)
     => ! [B] : 
          ( m1_qc_lang1(B,A)
         => ( ( v1_cqc_lang(B,A)
              & m1_qc_lang1(B,A) )
          <=> ( a_2_0_cqc_lang(A,B) = k1_xboole_0
              & a_2_1_cqc_lang(A,B) = k1_xboole_0 ) ) ) ) ),
    file(cqc_lang,t15_cqc_lang),
    []).

fof(t16_valuat_1,axiom,(
    ! [A] : 
      ( m2_subset_1(A,k1_numbers,k5_numbers)
     => ! [B] : 
          ( ~ v1_xboole_0(B)
         => ! [C] : 
              ( m2_fraenkel(C,k2_qc_lang1,B,k2_valuat_1(B))
             => ! [D] : 
                  ( ( v1_cqc_lang(D,A)
                    & m1_qc_lang1(D,A) )
                 => ! [E] : 
                      ( m2_subset_1(E,k8_qc_lang1,k7_cqc_lang)
                     => ! [F] : 
                          ( m1_valuat_1(F,B)
                         => ! [G] : 
                              ( m2_subset_1(G,k5_qc_lang1,k7_qc_lang1(A))
                             => ! [H] : 
                                  ( m1_subset_1(H,k3_margrel1(B))
                                 => ( ( E = k8_cqc_lang(A,G,D)
                                      & r1_margrel1(B,H,k11_valuat_1(B,A,F,G)) )
                                   => ( r2_hidden(k8_valuat_1(B,A,D,C),H)
                                    <=> k8_funct_2(k2_valuat_1(B),k6_margrel1,k12_valuat_1(B,F,E),C) = k8_margrel1 ) ) ) ) ) ) ) ) ) ) ),
    file(valuat_1,t16_valuat_1),
    []).

fof(t17_cqc_lang,axiom,(
    ! [A] : 
      ( m2_subset_1(A,k1_numbers,k5_numbers)
     => ! [B] : 
          ( m2_subset_1(B,k5_qc_lang1,k7_qc_lang1(A))
         => ! [C] : 
              ( m1_qc_lang1(C,A)
             => ( m2_subset_1(k9_qc_lang1(B,C),k8_qc_lang1,k7_cqc_lang)
              <=> ( a_2_0_cqc_lang(A,C) = k1_xboole_0
                  & a_2_1_cqc_lang(A,C) = k1_xboole_0 ) ) ) ) ) ),
    file(cqc_lang,t17_cqc_lang),
    []).

fof(t17_valuat_1,axiom,(
    ! [A] : 
      ( m2_subset_1(A,k1_numbers,k5_numbers)
     => ! [B] : 
          ( ~ v1_xboole_0(B)
         => ! [C] : 
              ( m2_fraenkel(C,k2_qc_lang1,B,k2_valuat_1(B))
             => ! [D] : 
                  ( ( v1_cqc_lang(D,A)
                    & m1_qc_lang1(D,A) )
                 => ! [E] : 
                      ( m2_subset_1(E,k8_qc_lang1,k7_cqc_lang)
                     => ! [F] : 
                          ( m1_valuat_1(F,B)
                         => ! [G] : 
                              ( m2_subset_1(G,k5_qc_lang1,k7_qc_lang1(A))
                             => ! [H] : 
                                  ( m1_subset_1(H,k3_margrel1(B))
                                 => ( ( E = k8_cqc_lang(A,G,D)
                                      & r1_margrel1(B,H,k11_valuat_1(B,A,F,G)) )
                                   => ( ~ r2_hidden(k8_valuat_1(B,A,D,C),H)
                                    <=> k8_funct_2(k2_valuat_1(B),k6_margrel1,k12_valuat_1(B,F,E),C) = k7_margrel1 ) ) ) ) ) ) ) ) ) ) ),
    file(valuat_1,t17_valuat_1),
    []).

fof(t18_cqc_lang,axiom,(
    ! [A] : 
      ( m1_subset_1(A,k8_qc_lang1)
     => ( m2_subset_1(k12_qc_lang1(A),k8_qc_lang1,k7_cqc_lang)
      <=> m2_subset_1(A,k8_qc_lang1,k7_cqc_lang) ) ) ),
    file(cqc_lang,t18_cqc_lang),
    []).

fof(t18_finseq_1,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)
              & ! [C] : 
                  ( m2_subset_1(C,k1_numbers,k5_numbers)
                 => ( ( r1_xreal_0(1,C)
                      & r1_xreal_0(C,k3_finseq_1(A)) )
                   => k1_funct_1(A,C) = k1_funct_1(B,C) ) ) )
           => A = B ) ) ) ),
    file(finseq_1,t18_finseq_1),
    []).

fof(t19_cqc_lang,axiom,(
    ! [A] : 
      ( m1_subset_1(A,k8_qc_lang1)
     => ! [B] : 
          ( m1_subset_1(B,k8_qc_lang1)
         => ( m2_subset_1(k13_qc_lang1(A,B),k8_qc_lang1,k7_cqc_lang)
          <=> ( m2_subset_1(A,k8_qc_lang1,k7_cqc_lang)
              & m2_subset_1(B,k8_qc_lang1,k7_cqc_lang) ) ) ) ) ),
    file(cqc_lang,t19_cqc_lang),
    []).

fof(t1_numerals,axiom,(
    m1_subset_1(0,k5_numbers) ),
    file(numerals,t1_numerals),
    []).

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

fof(t20_valuat_1,axiom,(
    ! [A] : 
      ( ~ v1_xboole_0(A)
     => ! [B] : 
          ( m2_fraenkel(B,k2_qc_lang1,A,k2_valuat_1(A))
         => ! [C] : 
              ( m2_subset_1(C,k8_qc_lang1,k7_cqc_lang)
             => ! [D] : 
                  ( m1_valuat_1(D,A)
                 => k8_funct_2(k2_valuat_1(A),k6_margrel1,k12_valuat_1(A,D,k10_cqc_lang(C)),B) = k11_margrel1(k8_funct_2(k2_valuat_1(A),k6_margrel1,k12_valuat_1(A,D,C),B)) ) ) ) ) ),
    file(valuat_1,t20_valuat_1),
    []).

fof(t22_valuat_1,axiom,(
    ! [A] : 
      ( ~ v1_xboole_0(A)
     => ! [B] : 
          ( m2_fraenkel(B,k2_qc_lang1,A,k2_valuat_1(A))
         => ! [C] : 
              ( m2_subset_1(C,k8_qc_lang1,k7_cqc_lang)
             => ! [D] : 
                  ( m2_subset_1(D,k8_qc_lang1,k7_cqc_lang)
                 => ! [E] : 
                      ( m1_valuat_1(E,A)
                     => k8_funct_2(k2_valuat_1(A),k6_margrel1,k12_valuat_1(A,E,k11_cqc_lang(C,D)),B) = k12_margrel1(k8_funct_2(k2_valuat_1(A),k6_margrel1,k12_valuat_1(A,E,C),B),k8_funct_2(k2_valuat_1(A),k6_margrel1,k12_valuat_1(A,E,D),B)) ) ) ) ) ) ),
    file(valuat_1,t22_valuat_1),
    []).

fof(t23_cqc_lang,axiom,(
    ! [A] : 
      ( m2_subset_1(A,k1_qc_lang1,k2_qc_lang1)
     => ! [B] : 
          ( m1_subset_1(B,k8_qc_lang1)
         => ( m2_subset_1(k14_qc_lang1(A,B),k8_qc_lang1,k7_cqc_lang)
          <=> m2_subset_1(B,k8_qc_lang1,k7_cqc_lang) ) ) ) ),
    file(cqc_lang,t23_cqc_lang),
    []).

fof(t28_cqc_lang,axiom,(
    ! [A] : 
      ( m2_subset_1(A,k1_qc_lang1,k2_qc_lang1)
     => k17_cqc_lang(k9_cqc_lang,A) = k9_cqc_lang ) ),
    file(cqc_lang,t28_cqc_lang),
    []).

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(t30_cqc_lang,axiom,(
    ! [A] : 
      ( m2_subset_1(A,k1_numbers,k5_numbers)
     => ! [B] : 
          ( m2_subset_1(B,k1_qc_lang1,k2_qc_lang1)
         => ! [C] : 
              ( m2_subset_1(C,k5_qc_lang1,k7_qc_lang1(A))
             => ! [D] : 
                  ( m1_qc_lang1(D,A)
                 => k17_cqc_lang(k9_qc_lang1(C,D),B) = k9_qc_lang1(C,k5_cqc_lang(A,D,k6_cqc_lang(k3_qc_lang3(0),B))) ) ) ) ) ),
    file(cqc_lang,t30_cqc_lang),
    []).

fof(t31_cqc_lang,axiom,(
    ! [A] : 
      ( m2_subset_1(A,k1_qc_lang1,k2_qc_lang1)
     => ! [B] : 
          ( m1_subset_1(B,k8_qc_lang1)
         => ( v3_qc_lang1(B)
           => k17_cqc_lang(B,A) = k12_qc_lang1(k17_cqc_lang(k17_qc_lang1(B),A)) ) ) ) ),
    file(cqc_lang,t31_cqc_lang),
    []).

fof(t33_cqc_lang,axiom,(
    ! [A] : 
      ( m2_subset_1(A,k1_qc_lang1,k2_qc_lang1)
     => ! [B] : 
          ( m1_subset_1(B,k8_qc_lang1)
         => ( v4_qc_lang1(B)
           => k17_cqc_lang(B,A) = k13_qc_lang1(k17_cqc_lang(k18_qc_lang1(B),A),k17_cqc_lang(k19_qc_lang1(B),A)) ) ) ) ),
    file(cqc_lang,t33_cqc_lang),
    []).

fof(t36_cqc_lang,axiom,(
    ! [A] : 
      ( m2_subset_1(A,k1_qc_lang1,k2_qc_lang1)
     => ! [B] : 
          ( m1_subset_1(B,k8_qc_lang1)
         => ( v5_qc_lang1(B)
           => ( k20_qc_lang1(B) = A
              | k17_cqc_lang(B,A) = k14_qc_lang1(k20_qc_lang1(B),k17_cqc_lang(k21_qc_lang1(B),A)) ) ) ) ) ),
    file(cqc_lang,t36_cqc_lang),
    []).

fof(t37_cqc_lang,axiom,(
    ! [A] : 
      ( m2_subset_1(A,k1_qc_lang1,k2_qc_lang1)
     => ! [B] : 
          ( m1_subset_1(B,k8_qc_lang1)
         => k17_cqc_lang(k14_qc_lang1(A,B),A) = k14_qc_lang1(A,B) ) ) ),
    file(cqc_lang,t37_cqc_lang),
    []).

fof(t39_margrel1,axiom,(
    ! [A] : 
      ( v2_margrel1(A)
     => ( A = k7_margrel1
        | A = k8_margrel1 ) ) ),
    file(margrel1,t39_margrel1),
    []).

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

fof(t40_cqc_lang,axiom,(
    ! [A] : 
      ( m2_subset_1(A,k1_qc_lang1,k2_qc_lang1)
     => ! [B] : 
          ( m2_subset_1(B,k8_qc_lang1,k7_cqc_lang)
         => k17_cqc_lang(B,A) = B ) ) ),
    file(cqc_lang,t40_cqc_lang),
    []).

fof(t41_margrel1,axiom,(
    ! [A] : 
      ( v2_margrel1(A)
     => ( ( A = k7_margrel1
         => k9_margrel1(A) = k8_margrel1 )
        & ( k9_margrel1(A) = k8_margrel1
         => A = k7_margrel1 )
        & ( A = k8_margrel1
         => k9_margrel1(A) = k7_margrel1 )
        & ( k9_margrel1(A) = k7_margrel1
         => A = k8_margrel1 ) ) ) ),
    file(margrel1,t41_margrel1),
    []).

fof(t45_margrel1,axiom,(
    ! [A] : 
      ( v2_margrel1(A)
     => ! [B] : 
          ( v2_margrel1(B)
         => ( ( k10_margrel1(A,B) = k8_margrel1
             => ( A = k8_margrel1
                & B = k8_margrel1 ) )
            & ( ( A = k8_margrel1
                & B = k8_margrel1 )
             => k10_margrel1(A,B) = k8_margrel1 )
            & ~ ( k10_margrel1(A,B) = k7_margrel1
                & A != k7_margrel1
                & B != k7_margrel1 )
            & ( ( A = k7_margrel1
                | B = k7_margrel1 )
             => k10_margrel1(A,B) = k7_margrel1 ) ) ) ) ),
    file(margrel1,t45_margrel1),
    []).

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

fof(t7_valuat_1,axiom,(
    ! [A] : 
      ( ~ v1_xboole_0(A)
     => ! [B] : 
          ( m2_subset_1(B,k1_qc_lang1,k2_qc_lang1)
         => ! [C] : 
              ( m2_fraenkel(C,k2_qc_lang1,A,k2_valuat_1(A))
             => ! [D] : 
                  ( m2_fraenkel(D,k2_valuat_1(A),k6_margrel1,k1_fraenkel(k2_valuat_1(A),k6_margrel1))
                 => ( k8_funct_2(k2_valuat_1(A),k6_margrel1,k7_valuat_1(A,B,D),C) = k7_margrel1
                  <=> ? [E] : 
                        ( m2_fraenkel(E,k2_qc_lang1,A,k2_valuat_1(A))
                        & k8_funct_2(k2_valuat_1(A),k6_margrel1,D,E) = k7_margrel1
                        & ! [F] : 
                            ( m2_subset_1(F,k1_qc_lang1,k2_qc_lang1)
                           => ( B != F
                             => k8_funct_2(k2_qc_lang1,A,E,F) = k8_funct_2(k2_qc_lang1,A,C,F) ) ) ) ) ) ) ) ) ),
    file(valuat_1,t7_valuat_1),
    []).

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

fof(t8_valuat_1,axiom,(
    ! [A] : 
      ( ~ v1_xboole_0(A)
     => ! [B] : 
          ( m2_subset_1(B,k1_qc_lang1,k2_qc_lang1)
         => ! [C] : 
              ( m2_fraenkel(C,k2_qc_lang1,A,k2_valuat_1(A))
             => ! [D] : 
                  ( m2_fraenkel(D,k2_valuat_1(A),k6_margrel1,k1_fraenkel(k2_valuat_1(A),k6_margrel1))
                 => ( k8_funct_2(k2_valuat_1(A),k6_margrel1,k7_valuat_1(A,B,D),C) = k8_margrel1
                  <=> ! [E] : 
                        ( m2_fraenkel(E,k2_qc_lang1,A,k2_valuat_1(A))
                       => ( ! [F] : 
                              ( m2_subset_1(F,k1_qc_lang1,k2_qc_lang1)
                             => ( B != F
                               => k8_funct_2(k2_qc_lang1,A,E,F) = k8_funct_2(k2_qc_lang1,A,C,F) ) )
                         => k8_funct_2(k2_valuat_1(A),k6_margrel1,D,E) = k8_margrel1 ) ) ) ) ) ) ) ),
    file(valuat_1,t8_valuat_1),
    []).