% Mizar problem: t6_mesfunc4,mesfunc4,2591,32 
fof(t6_mesfunc4,conjecture,(
    ! [A] : 
      ( ~ v1_xboole_0(A)
     => ! [B] : 
          ( ( ~ v1_xboole_0(B)
            & v1_prob_1(B,A)
            & v1_measure1(B,A)
            & m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A))) )
         => ! [C] : 
              ( m3_measure1(C,A,B)
             => ! [D] : 
                  ( ( v1_funct_1(D)
                    & m2_relset_1(D,A,k3_supinf_1) )
                 => ! [E] : 
                      ( ( v1_funct_1(E)
                        & m2_relset_1(E,A,k3_supinf_1) )
                     => ! [F] : 
                          ( m1_subset_1(F,k3_supinf_1)
                         => ( ( r2_mesfunc2(A,B,D)
                              & ! [G] : 
                                  ( r2_hidden(G,k1_relat_1(D))
                                 => r1_supinf_1(k1_supinf_2,k4_mesfunc1(A,D,G)) )
                              & r1_supinf_1(k1_supinf_2,F)
                              & k1_relat_1(E) = k1_relat_1(D)
                              & ! [G] : 
                                  ( r2_hidden(G,k1_relat_1(E))
                                 => k4_mesfunc1(A,E,G) = k2_extreal1(F,k4_mesfunc1(A,D,G)) ) )
                           => ( k1_relat_1(D) = k1_xboole_0
                              | r1_supinf_1(k4_supinf_1,F)
                              | k1_mesfunc3(A,B,C,E) = k2_extreal1(F,k1_mesfunc3(A,B,C,D)) ) ) ) ) ) ) ) ) ),
    inference(mizar_bg_added,[status(thm)],[antisymmetry_r2_hidden,cc1_finseq_1,cc1_measure1,cc1_nat_1,cc1_relset_1,cc1_supinf_1,cc1_xreal_0,cc2_measure1,cc2_nat_1,cc2_supinf_1,cc2_xreal_0,cc3_measure1,cc3_nat_1,cc3_xreal_0,cc4_measure1,cc4_xreal_0,cc5_xreal_0,cc6_xreal_0,cc7_xreal_0,cc8_xreal_0,commutativity_k2_extreal1,connectedness_r1_supinf_1,d1_mesfunc2,d1_mesfunc3,d3_finseq_1,d3_supinf_2,d3_tarski,d4_finseq_1,d4_tarski,d5_funct_1,d5_mesfunc2,dt_k1_card_1,dt_k1_extreal1,dt_k1_finseq_1,dt_k1_funct_1,dt_k1_mesfunc3,dt_k1_numbers,dt_k1_partfun1,dt_k1_real_1,dt_k1_relat_1,dt_k1_supinf_1,dt_k1_supinf_2,dt_k1_xboole_0,dt_k1_zfmisc_1,dt_k2_extreal1,dt_k2_finseq_1,dt_k2_relat_1,dt_k2_supinf_1,dt_k2_zfmisc_1,dt_k3_finseq_1,dt_k3_supinf_1,dt_k3_supinf_2,dt_k3_tarski,dt_k4_extreal1,dt_k4_finseq_1,dt_k4_measure6,dt_k4_mesfunc1,dt_k4_supinf_1,dt_k4_xcmplx_0,dt_k5_convfun1,dt_k5_finsop_1,dt_k5_finsub_1,dt_k5_measure6,dt_k5_numbers,dt_k5_ordinal2,dt_k5_relat_1,dt_k5_supinf_1,dt_k6_supinf_1,dt_m1_finseq_1,dt_m1_relset_1,dt_m1_subset_1,dt_m2_finseq_1,dt_m2_relset_1,dt_m2_subset_1,dt_m3_measure1,existence_m1_finseq_1,existence_m1_relset_1,existence_m1_subset_1,existence_m2_finseq_1,existence_m2_relset_1,existence_m2_subset_1,existence_m3_measure1,fc11_finseq_1,fc13_xreal_0,fc14_xreal_0,fc17_finseq_1,fc1_finseq_1,fc1_ordinal2,fc1_supinf_1,fc1_xreal_0,fc2_finseq_1,involutiveness_k1_real_1,involutiveness_k3_supinf_2,involutiveness_k4_xcmplx_0,rc1_finseq_1,rc1_measure1,rc1_nat_1,rc1_xreal_0,rc2_finseq_1,rc2_nat_1,rc2_xreal_0,rc3_finseq_1,rc3_measure1,rc3_nat_1,rc3_supinf_1,rc3_xreal_0,rc4_finseq_1,rc4_measure1,rc4_xreal_0,rc6_finseq_1,rc7_finseq_1,rc8_finseq_1,redefinition_k1_partfun1,redefinition_k1_real_1,redefinition_k2_extreal1,redefinition_k2_finseq_1,redefinition_k3_finseq_1,redefinition_k4_finseq_1,redefinition_k4_measure6,redefinition_k4_mesfunc1,redefinition_k4_supinf_1,redefinition_k5_finsop_1,redefinition_k5_measure6,redefinition_k5_numbers,redefinition_k5_supinf_1,redefinition_k6_supinf_1,redefinition_m2_finseq_1,redefinition_m2_relset_1,redefinition_m2_subset_1,reflexivity_r1_supinf_1,reflexivity_r1_tarski,s2_finseq_1__e19_6__mesfunc4,s2_finseq_1__e1_6_5__mesfunc4,s2_finseq_1__e1_6_6__mesfunc4,t10_mesfunc3,t12_funct_1,t19_supinf_2,t1_subset,t23_extreal1,t23_supinf_1,t24_supinf_1,t27_extreal1,t28_extreal1,t2_subset,t3_mesfunc4,t3_subset,t45_extreal2,t4_mesfunc4,t4_subset,t59_extreal2,t5_subset,t67_extreal2,t6_boole,t7_boole,t8_boole]),
    [file(mesfunc4,t6_mesfunc4)]).

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

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_measure1,axiom,(
    ! [A,B] : 
      ( m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A)))
     => ( ( v1_finsub_1(B)
          & v1_prob_1(B,A) )
       => v2_finsub_1(B) ) ) ),
    file(measure1,cc1_measure1),
    []).

fof(cc1_nat_1,axiom,(
    ! [A] : 
      ( m1_subset_1(A,k5_numbers)
     => ( v1_ordinal1(A)
        & v2_ordinal1(A)
        & v3_ordinal1(A)
        & v4_ordinal2(A)
        & v1_xcmplx_0(A)
        & v1_xreal_0(A) ) ) ),
    file(nat_1,cc1_nat_1),
    []).

fof(cc1_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_supinf_1,axiom,(
    ! [A] : 
      ( m1_subset_1(A,k3_supinf_1)
     => v3_supinf_1(A) ) ),
    file(supinf_1,cc1_supinf_1),
    []).

fof(cc1_xreal_0,axiom,(
    ! [A] : 
      ( v4_ordinal2(A)
     => v1_xreal_0(A) ) ),
    file(xreal_0,cc1_xreal_0),
    []).

fof(cc2_measure1,axiom,(
    ! [A,B] : 
      ( m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A)))
     => ( ( v2_finsub_1(B)
          & v1_prob_1(B,A) )
       => v1_finsub_1(B) ) ) ),
    file(measure1,cc2_measure1),
    []).

fof(cc2_nat_1,axiom,(
    ! [A] : 
      ( m1_subset_1(A,k5_numbers)
     => ( v1_ordinal1(A)
        & v2_ordinal1(A)
        & v3_ordinal1(A)
        & v4_ordinal2(A)
        & v1_xcmplx_0(A)
        & v1_xreal_0(A)
        & ~ v3_xreal_0(A) ) ) ),
    file(nat_1,cc2_nat_1),
    []).

fof(cc2_supinf_1,axiom,(
    ! [A] : 
      ( m1_subset_1(A,k1_numbers)
     => ( v1_xcmplx_0(A)
        & v1_xreal_0(A)
        & v3_supinf_1(A) ) ) ),
    file(supinf_1,cc2_supinf_1),
    []).

fof(cc2_xreal_0,axiom,(
    ! [A] : 
      ( v1_xreal_0(A)
     => v1_xcmplx_0(A) ) ),
    file(xreal_0,cc2_xreal_0),
    []).

fof(cc3_measure1,axiom,(
    ! [A,B] : 
      ( m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A)))
     => ( ( ~ v1_xboole_0(B)
          & v1_prob_1(B,A)
          & v1_measure1(B,A) )
       => ( ~ v1_xboole_0(B)
          & v1_prob_1(B,A)
          & v1_measure1(B,A) ) ) ) ),
    file(measure1,cc3_measure1),
    []).

fof(cc3_nat_1,axiom,(
    ! [A] : 
      ( v4_ordinal2(A)
     => ( v4_ordinal2(A)
        & v1_xcmplx_0(A)
        & v1_xreal_0(A)
        & ~ v3_xreal_0(A) ) ) ),
    file(nat_1,cc3_nat_1),
    []).

fof(cc3_xreal_0,axiom,(
    ! [A] : 
      ( ( v1_xreal_0(A)
        & v2_xreal_0(A) )
     => ( ~ v1_xboole_0(A)
        & v1_xcmplx_0(A)
        & v1_xreal_0(A)
        & ~ v3_xreal_0(A) ) ) ),
    file(xreal_0,cc3_xreal_0),
    []).

fof(cc4_measure1,axiom,(
    ! [A,B] : 
      ( m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A)))
     => ( ( ~ v1_xboole_0(B)
          & v1_prob_1(B,A)
          & v1_measure1(B,A) )
       => ( ~ v1_xboole_0(B)
          & v1_finsub_1(B) ) ) ) ),
    file(measure1,cc4_measure1),
    []).

fof(cc4_xreal_0,axiom,(
    ! [A] : 
      ( ( ~ v1_xboole_0(A)
        & v1_xreal_0(A)
        & ~ v3_xreal_0(A) )
     => ( v1_xcmplx_0(A)
        & v1_xreal_0(A)
        & v2_xreal_0(A) ) ) ),
    file(xreal_0,cc4_xreal_0),
    []).

fof(cc5_xreal_0,axiom,(
    ! [A] : 
      ( ( v1_xreal_0(A)
        & v3_xreal_0(A) )
     => ( ~ v1_xboole_0(A)
        & v1_xcmplx_0(A)
        & v1_xreal_0(A)
        & ~ v2_xreal_0(A) ) ) ),
    file(xreal_0,cc5_xreal_0),
    []).

fof(cc6_xreal_0,axiom,(
    ! [A] : 
      ( ( ~ v1_xboole_0(A)
        & v1_xreal_0(A)
        & ~ v2_xreal_0(A) )
     => ( v1_xcmplx_0(A)
        & v1_xreal_0(A)
        & v3_xreal_0(A) ) ) ),
    file(xreal_0,cc6_xreal_0),
    []).

fof(cc7_xreal_0,axiom,(
    ! [A] : 
      ( ( v1_xboole_0(A)
        & v1_xreal_0(A) )
     => ( v1_xcmplx_0(A)
        & v1_xreal_0(A)
        & ~ v2_xreal_0(A)
        & ~ v3_xreal_0(A) ) ) ),
    file(xreal_0,cc7_xreal_0),
    []).

fof(cc8_xreal_0,axiom,(
    ! [A] : 
      ( ( v1_xreal_0(A)
        & ~ v2_xreal_0(A)
        & ~ v3_xreal_0(A) )
     => ( v1_xboole_0(A)
        & v1_xcmplx_0(A)
        & v1_xreal_0(A) ) ) ),
    file(xreal_0,cc8_xreal_0),
    []).

fof(commutativity_k2_extreal1,axiom,(
    ! [A,B] : 
      ( ( m1_subset_1(A,k3_supinf_1)
        & m1_subset_1(B,k3_supinf_1) )
     => k2_extreal1(A,B) = k2_extreal1(B,A) ) ),
    file(extreal1,k2_extreal1),
    []).

fof(connectedness_r1_supinf_1,axiom,(
    ! [A,B] : 
      ( ( m1_subset_1(A,k3_supinf_1)
        & m1_subset_1(B,k3_supinf_1) )
     => ( r1_supinf_1(A,B)
        | r1_supinf_1(B,A) ) ) ),
    file(supinf_1,r1_supinf_1),
    []).

fof(d1_mesfunc2,axiom,(
    ! [A] : 
      ( ~ v1_xboole_0(A)
     => ! [B] : 
          ( ( v1_funct_1(B)
            & m2_relset_1(B,A,k3_supinf_1) )
         => ( r1_mesfunc2(A,B)
          <=> ! [C] : 
                ( m1_subset_1(C,A)
               => ~ ( r2_hidden(C,k1_relat_1(B))
                    & r1_supinf_1(k5_measure6,k4_extreal1(k4_mesfunc1(A,B,C))) ) ) ) ) ) ),
    file(mesfunc2,d1_mesfunc2),
    []).

fof(d1_mesfunc3,axiom,(
    ! [A] : 
      ( ~ v1_xboole_0(A)
     => ! [B] : 
          ( ( ~ v1_xboole_0(B)
            & v1_prob_1(B,A)
            & v1_measure1(B,A)
            & m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A))) )
         => ! [C] : 
              ( ( v1_funct_1(C)
                & m2_relset_1(C,A,k3_supinf_1) )
             => ! [D] : 
                  ( ( v1_prob_2(D)
                    & m2_finseq_1(D,B) )
                 => ! [E] : 
                      ( m2_finseq_1(E,k3_supinf_1)
                     => ( r1_mesfunc3(A,B,C,D,E)
                      <=> ( k1_relat_1(C) = k3_tarski(k2_relat_1(D))
                          & k5_finsop_1(D) = k5_finsop_1(E)
                          & ! [F] : 
                              ( m2_subset_1(F,k1_numbers,k5_numbers)
                             => ( r2_hidden(F,k5_finsop_1(D))
                               => ! [G] : 
                                    ( r2_hidden(G,k1_funct_1(D,F))
                                   => k4_mesfunc1(A,C,G) = k4_mesfunc1(k5_numbers,E,F) ) ) ) ) ) ) ) ) ) ) ),
    file(mesfunc3,d1_mesfunc3),
    []).

fof(d3_finseq_1,axiom,(
    ! [A] : 
      ( ( v1_relat_1(A)
        & v1_funct_1(A)
        & v1_finseq_1(A) )
     => ! [B] : 
          ( m2_subset_1(B,k1_numbers,k5_numbers)
         => ( B = k3_finseq_1(A)
          <=> k2_finseq_1(B) = k1_relat_1(A) ) ) ) ),
    file(finseq_1,d3_finseq_1),
    []).

fof(d3_supinf_2,axiom,(
    ! [A] : 
      ( m1_subset_1(A,k3_supinf_1)
     => ! [B] : 
          ( m1_subset_1(B,k3_supinf_1)
         => ( ( r2_hidden(A,k6_supinf_1)
             => ( B = k3_supinf_2(A)
              <=> ? [C] : 
                    ( m1_subset_1(C,k1_numbers)
                    & A = C
                    & B = k1_real_1(C) ) ) )
            & ( A = k4_supinf_1
             => ( B = k3_supinf_2(A)
              <=> B = k5_supinf_1 ) )
            & ~ ( ~ r2_hidden(A,k6_supinf_1)
                & A != k4_supinf_1
                & ~ ( B = k3_supinf_2(A)
                  <=> B = k4_supinf_1 ) ) ) ) ) ),
    file(supinf_2,d3_supinf_2),
    []).

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

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

fof(d4_tarski,axiom,(
    ! [A,B] : 
      ( B = k3_tarski(A)
    <=> ! [C] : 
          ( r2_hidden(C,B)
        <=> ? [D] : 
              ( r2_hidden(C,D)
              & r2_hidden(D,A) ) ) ) ),
    file(tarski,d4_tarski),
    []).

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(d5_mesfunc2,axiom,(
    ! [A] : 
      ( ~ v1_xboole_0(A)
     => ! [B] : 
          ( ( ~ v1_xboole_0(B)
            & v1_prob_1(B,A)
            & v1_measure1(B,A)
            & m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A))) )
         => ! [C] : 
              ( ( v1_funct_1(C)
                & m2_relset_1(C,A,k3_supinf_1) )
             => ( r2_mesfunc2(A,B,C)
              <=> ( r1_mesfunc2(A,C)
                  & ? [D] : 
                      ( v1_prob_2(D)
                      & m2_finseq_1(D,B)
                      & k1_relat_1(C) = k3_tarski(k2_relat_1(D))
                      & ! [E] : 
                          ( m2_subset_1(E,k1_numbers,k5_numbers)
                         => ! [F] : 
                              ( m1_subset_1(F,A)
                             => ! [G] : 
                                  ( m1_subset_1(G,A)
                                 => ( ( r2_hidden(E,k4_finseq_1(D))
                                      & r2_hidden(F,k1_funct_1(D,E))
                                      & r2_hidden(G,k1_funct_1(D,E)) )
                                   => k4_mesfunc1(A,C,F) = k4_mesfunc1(A,C,G) ) ) ) ) ) ) ) ) ) ) ),
    file(mesfunc2,d5_mesfunc2),
    []).

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

fof(dt_k1_extreal1,axiom,(
    ! [A,B] : 
      ( ( m1_subset_1(A,k3_supinf_1)
        & m1_subset_1(B,k3_supinf_1) )
     => m1_subset_1(k1_extreal1(A,B),k3_supinf_1) ) ),
    file(extreal1,k1_extreal1),
    []).

fof(dt_k1_finseq_1,axiom,(
    $true ),
    file(finseq_1,k1_finseq_1),
    []).

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

fof(dt_k1_mesfunc3,axiom,(
    ! [A,B,C,D] : 
      ( ( ~ v1_xboole_0(A)
        & ~ v1_xboole_0(B)
        & v1_prob_1(B,A)
        & v1_measure1(B,A)
        & m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A)))
        & m3_measure1(C,A,B)
        & v1_funct_1(D)
        & m1_relset_1(D,A,k3_supinf_1) )
     => m1_subset_1(k1_mesfunc3(A,B,C,D),k3_supinf_1) ) ),
    file(mesfunc3,k1_mesfunc3),
    []).

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

fof(dt_k1_partfun1,axiom,(
    ! [A,B,C,D,E,F] : 
      ( ( v1_funct_1(E)
        & m1_relset_1(E,A,B)
        & v1_funct_1(F)
        & m1_relset_1(F,C,D) )
     => ( v1_funct_1(k1_partfun1(A,B,C,D,E,F))
        & m2_relset_1(k1_partfun1(A,B,C,D,E,F),A,D) ) ) ),
    file(partfun1,k1_partfun1),
    []).

fof(dt_k1_real_1,axiom,(
    ! [A] : 
      ( m1_subset_1(A,k1_numbers)
     => m1_subset_1(k1_real_1(A),k1_numbers) ) ),
    file(real_1,k1_real_1),
    []).

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

fof(dt_k1_supinf_1,axiom,(
    $true ),
    file(supinf_1,k1_supinf_1),
    []).

fof(dt_k1_supinf_2,axiom,(
    m1_subset_1(k1_supinf_2,k3_supinf_1) ),
    file(supinf_2,k1_supinf_2),
    []).

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_extreal1,axiom,(
    ! [A,B] : 
      ( ( m1_subset_1(A,k3_supinf_1)
        & m1_subset_1(B,k3_supinf_1) )
     => m1_subset_1(k2_extreal1(A,B),k3_supinf_1) ) ),
    file(extreal1,k2_extreal1),
    []).

fof(dt_k2_finseq_1,axiom,(
    ! [A] : 
      ( v4_ordinal2(A)
     => m1_subset_1(k2_finseq_1(A),k1_zfmisc_1(k5_numbers)) ) ),
    file(finseq_1,k2_finseq_1),
    []).

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

fof(dt_k2_supinf_1,axiom,(
    $true ),
    file(supinf_1,k2_supinf_1),
    []).

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

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_supinf_1,axiom,(
    $true ),
    file(supinf_1,k3_supinf_1),
    []).

fof(dt_k3_supinf_2,axiom,(
    ! [A] : 
      ( m1_subset_1(A,k3_supinf_1)
     => m1_subset_1(k3_supinf_2(A),k3_supinf_1) ) ),
    file(supinf_2,k3_supinf_2),
    []).

fof(dt_k3_tarski,axiom,(
    $true ),
    file(tarski,k3_tarski),
    []).

fof(dt_k4_extreal1,axiom,(
    ! [A] : 
      ( m1_subset_1(A,k3_supinf_1)
     => m1_subset_1(k4_extreal1(A),k3_supinf_1) ) ),
    file(extreal1,k4_extreal1),
    []).

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

fof(dt_k4_measure6,axiom,(
    m1_subset_1(k4_measure6,k3_supinf_1) ),
    file(measure6,k4_measure6),
    []).

fof(dt_k4_mesfunc1,axiom,(
    ! [A,B,C] : 
      ( ( ~ v1_xboole_0(A)
        & v1_funct_1(B)
        & m1_relset_1(B,A,k3_supinf_1) )
     => m1_subset_1(k4_mesfunc1(A,B,C),k3_supinf_1) ) ),
    file(mesfunc1,k4_mesfunc1),
    []).

fof(dt_k4_supinf_1,axiom,(
    m1_subset_1(k4_supinf_1,k3_supinf_1) ),
    file(supinf_1,k4_supinf_1),
    []).

fof(dt_k4_xcmplx_0,axiom,(
    ! [A] : 
      ( v1_xcmplx_0(A)
     => v1_xcmplx_0(k4_xcmplx_0(A)) ) ),
    file(xcmplx_0,k4_xcmplx_0),
    []).

fof(dt_k5_convfun1,axiom,(
    ! [A] : 
      ( m1_finseq_1(A,k3_supinf_1)
     => m1_subset_1(k5_convfun1(A),k3_supinf_1) ) ),
    file(convfun1,k5_convfun1),
    []).

fof(dt_k5_finsop_1,axiom,(
    ! [A] : 
      ( ( v1_relat_1(A)
        & v1_funct_1(A)
        & v1_finseq_1(A) )
     => m1_subset_1(k5_finsop_1(A),k5_finsub_1(k5_numbers)) ) ),
    file(finsop_1,k5_finsop_1),
    []).

fof(dt_k5_finsub_1,axiom,(
    ! [A] : v4_finsub_1(k5_finsub_1(A)) ),
    file(finsub_1,k5_finsub_1),
    []).

fof(dt_k5_measure6,axiom,(
    m1_subset_1(k5_measure6,k3_supinf_1) ),
    file(measure6,k5_measure6),
    []).

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_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_supinf_1,axiom,(
    m1_subset_1(k5_supinf_1,k3_supinf_1) ),
    file(supinf_1,k5_supinf_1),
    []).

fof(dt_k6_supinf_1,axiom,
    ( ~ v1_xboole_0(k6_supinf_1)
    & m1_subset_1(k6_supinf_1,k1_zfmisc_1(k3_supinf_1)) ),
    file(supinf_1,k6_supinf_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_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_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_relset_1,axiom,(
    ! [A,B,C] : 
      ( m2_relset_1(C,A,B)
     => m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,B))) ) ),
    file(relset_1,m2_relset_1),
    []).

fof(dt_m2_subset_1,axiom,(
    ! [A,B] : 
      ( ( ~ v1_xboole_0(A)
        & ~ v1_xboole_0(B)
        & m1_subset_1(B,k1_zfmisc_1(A)) )
     => ! [C] : 
          ( m2_subset_1(C,A,B)
         => m1_subset_1(C,A) ) ) ),
    file(subset_1,m2_subset_1),
    []).

fof(dt_m3_measure1,axiom,(
    ! [A,B] : 
      ( ( ~ v1_xboole_0(B)
        & v1_prob_1(B,A)
        & v1_measure1(B,A)
        & m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A))) )
     => ! [C] : 
          ( m3_measure1(C,A,B)
         => ( v1_funct_1(C)
            & v1_funct_2(C,B,k3_supinf_1)
            & m2_relset_1(C,B,k3_supinf_1) ) ) ) ),
    file(measure1,m3_measure1),
    []).

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

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_m2_finseq_1,axiom,(
    ! [A] : 
    ? [B] : m2_finseq_1(B,A) ),
    file(finseq_1,m2_finseq_1),
    []).

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

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

fof(existence_m3_measure1,axiom,(
    ! [A,B] : 
      ( ( ~ v1_xboole_0(B)
        & v1_prob_1(B,A)
        & v1_measure1(B,A)
        & m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A))) )
     => ? [C] : m3_measure1(C,A,B) ) ),
    file(measure1,m3_measure1),
    []).

fof(fc11_finseq_1,axiom,(
    ! [A] : 
      ( ( v1_relat_1(A)
        & v1_finset_1(A) )
     => v1_finset_1(k2_relat_1(A)) ) ),
    file(finseq_1,fc11_finseq_1),
    []).

fof(fc13_xreal_0,axiom,(
    ! [A] : 
      ( ( v1_xreal_0(A)
        & ~ v2_xreal_0(A) )
     => ( v1_xcmplx_0(k4_xcmplx_0(A))
        & v1_xreal_0(k4_xcmplx_0(A))
        & ~ v3_xreal_0(k4_xcmplx_0(A)) ) ) ),
    file(xreal_0,fc13_xreal_0),
    []).

fof(fc14_xreal_0,axiom,(
    ! [A] : 
      ( ( v1_xreal_0(A)
        & ~ v3_xreal_0(A) )
     => ( v1_xcmplx_0(k4_xcmplx_0(A))
        & v1_xreal_0(k4_xcmplx_0(A))
        & ~ v2_xreal_0(k4_xcmplx_0(A)) ) ) ),
    file(xreal_0,fc14_xreal_0),
    []).

fof(fc17_finseq_1,axiom,(
    ! [A] : 
      ( ( v1_relat_1(A)
        & v1_funct_1(A)
        & v1_finset_1(A) )
     => v1_finset_1(k1_relat_1(A)) ) ),
    file(finseq_1,fc17_finseq_1),
    []).

fof(fc1_finseq_1,axiom,(
    ! [A] : 
      ( v4_ordinal2(A)
     => v1_finset_1(k1_finseq_1(A)) ) ),
    file(finseq_1,fc1_finseq_1),
    []).

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

fof(fc1_supinf_1,axiom,(
    ~ v1_xboole_0(k3_supinf_1) ),
    file(supinf_1,fc1_supinf_1),
    []).

fof(fc1_xreal_0,axiom,(
    ! [A] : 
      ( v1_xreal_0(A)
     => ( v1_xcmplx_0(k4_xcmplx_0(A))
        & v1_xreal_0(k4_xcmplx_0(A)) ) ) ),
    file(xreal_0,fc1_xreal_0),
    []).

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(involutiveness_k1_real_1,axiom,(
    ! [A] : 
      ( m1_subset_1(A,k1_numbers)
     => k1_real_1(k1_real_1(A)) = A ) ),
    file(real_1,k1_real_1),
    []).

fof(involutiveness_k3_supinf_2,axiom,(
    ! [A] : 
      ( m1_subset_1(A,k3_supinf_1)
     => k3_supinf_2(k3_supinf_2(A)) = A ) ),
    file(supinf_2,k3_supinf_2),
    []).

fof(involutiveness_k4_xcmplx_0,axiom,(
    ! [A] : 
      ( v1_xcmplx_0(A)
     => k4_xcmplx_0(k4_xcmplx_0(A)) = A ) ),
    file(xcmplx_0,k4_xcmplx_0),
    []).

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_measure1,axiom,(
    ! [A] : 
    ? [B] : 
      ( m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A)))
      & ~ v1_xboole_0(B)
      & v1_finsub_1(B)
      & v2_finsub_1(B)
      & v1_prob_1(B,A) ) ),
    file(measure1,rc1_measure1),
    []).

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

fof(rc1_xreal_0,axiom,(
    ? [A] : 
      ( v1_xcmplx_0(A)
      & v1_xreal_0(A) ) ),
    file(xreal_0,rc1_xreal_0),
    []).

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

fof(rc2_xreal_0,axiom,(
    ? [A] : 
      ( ~ v1_xboole_0(A)
      & v1_xcmplx_0(A)
      & v1_xreal_0(A)
      & v2_xreal_0(A)
      & ~ v3_xreal_0(A) ) ),
    file(xreal_0,rc2_xreal_0),
    []).

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_measure1,axiom,(
    ! [A] : 
    ? [B] : 
      ( m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A)))
      & ~ v1_xboole_0(B)
      & v1_prob_1(B,A)
      & v1_measure1(B,A) ) ),
    file(measure1,rc3_measure1),
    []).

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

fof(rc3_supinf_1,axiom,(
    ? [A] : v3_supinf_1(A) ),
    file(supinf_1,rc3_supinf_1),
    []).

fof(rc3_xreal_0,axiom,(
    ? [A] : 
      ( ~ v1_xboole_0(A)
      & v1_xcmplx_0(A)
      & v1_xreal_0(A)
      & ~ v2_xreal_0(A)
      & v3_xreal_0(A) ) ),
    file(xreal_0,rc3_xreal_0),
    []).

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_measure1,axiom,(
    ! [A,B] : 
      ( ( ~ v1_xboole_0(B)
        & v1_prob_1(B,A)
        & v1_measure1(B,A)
        & m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A))) )
     => ? [C] : 
          ( m1_relset_1(C,k5_numbers,B)
          & v1_relat_1(C)
          & v1_funct_1(C)
          & v1_funct_2(C,k5_numbers,B)
          & v1_prob_2(C) ) ) ),
    file(measure1,rc4_measure1),
    []).

fof(rc4_xreal_0,axiom,(
    ? [A] : 
      ( v1_xboole_0(A)
      & v1_xcmplx_0(A)
      & v1_xreal_0(A)
      & ~ v2_xreal_0(A)
      & ~ v3_xreal_0(A) ) ),
    file(xreal_0,rc4_xreal_0),
    []).

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_k1_partfun1,axiom,(
    ! [A,B,C,D,E,F] : 
      ( ( v1_funct_1(E)
        & m1_relset_1(E,A,B)
        & v1_funct_1(F)
        & m1_relset_1(F,C,D) )
     => k1_partfun1(A,B,C,D,E,F) = k5_relat_1(E,F) ) ),
    file(partfun1,k1_partfun1),
    []).

fof(redefinition_k1_real_1,axiom,(
    ! [A] : 
      ( m1_subset_1(A,k1_numbers)
     => k1_real_1(A) = k4_xcmplx_0(A) ) ),
    file(real_1,k1_real_1),
    []).

fof(redefinition_k2_extreal1,axiom,(
    ! [A,B] : 
      ( ( m1_subset_1(A,k3_supinf_1)
        & m1_subset_1(B,k3_supinf_1) )
     => k2_extreal1(A,B) = k1_extreal1(A,B) ) ),
    file(extreal1,k2_extreal1),
    []).

fof(redefinition_k2_finseq_1,axiom,(
    ! [A] : 
      ( v4_ordinal2(A)
     => k2_finseq_1(A) = k1_finseq_1(A) ) ),
    file(finseq_1,k2_finseq_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_k4_finseq_1,axiom,(
    ! [A] : 
      ( ( v1_relat_1(A)
        & v1_funct_1(A)
        & v1_finseq_1(A) )
     => k4_finseq_1(A) = k1_relat_1(A) ) ),
    file(finseq_1,k4_finseq_1),
    []).

fof(redefinition_k4_measure6,axiom,(
    k4_measure6 = k2_supinf_1 ),
    file(measure6,k4_measure6),
    []).

fof(redefinition_k4_mesfunc1,axiom,(
    ! [A,B,C] : 
      ( ( ~ v1_xboole_0(A)
        & v1_funct_1(B)
        & m1_relset_1(B,A,k3_supinf_1) )
     => k4_mesfunc1(A,B,C) = k1_funct_1(B,C) ) ),
    file(mesfunc1,k4_mesfunc1),
    []).

fof(redefinition_k4_supinf_1,axiom,(
    k4_supinf_1 = k1_supinf_1 ),
    file(supinf_1,k4_supinf_1),
    []).

fof(redefinition_k5_finsop_1,axiom,(
    ! [A] : 
      ( ( v1_relat_1(A)
        & v1_funct_1(A)
        & v1_finseq_1(A) )
     => k5_finsop_1(A) = k1_relat_1(A) ) ),
    file(finsop_1,k5_finsop_1),
    []).

fof(redefinition_k5_measure6,axiom,(
    k5_measure6 = k1_supinf_1 ),
    file(measure6,k5_measure6),
    []).

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

fof(redefinition_k5_supinf_1,axiom,(
    k5_supinf_1 = k2_supinf_1 ),
    file(supinf_1,k5_supinf_1),
    []).

fof(redefinition_k6_supinf_1,axiom,(
    k6_supinf_1 = k1_numbers ),
    file(supinf_1,k6_supinf_1),
    []).

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_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(reflexivity_r1_supinf_1,axiom,(
    ! [A,B] : 
      ( ( m1_subset_1(A,k3_supinf_1)
        & m1_subset_1(B,k3_supinf_1) )
     => r1_supinf_1(A,A) ) ),
    file(supinf_1,r1_supinf_1),
    []).

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

fof(s2_finseq_1__e19_6__mesfunc4,axiom,(
    ! [A,B,C,D,E] : 
      ( ( ~ v1_xboole_0(A)
        & ~ v1_xboole_0(B)
        & v1_prob_1(B,A)
        & v1_measure1(B,A)
        & m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A)))
        & m3_measure1(C,A,B)
        & v1_prob_2(D)
        & m2_finseq_1(D,B)
        & m2_finseq_1(E,k3_supinf_1) )
     => ? [F] : 
          ( v1_relat_1(F)
          & v1_funct_1(F)
          & v1_finseq_1(F)
          & k3_finseq_1(F) = k3_finseq_1(D)
          & ! [G] : 
              ( m2_subset_1(G,k1_numbers,k5_numbers)
             => ( r2_hidden(G,k2_finseq_1(k3_finseq_1(D)))
               => k1_funct_1(F,G) = k2_extreal1(k4_mesfunc1(k5_numbers,E,G),k4_mesfunc1(k5_numbers,k1_partfun1(k5_numbers,B,B,k3_supinf_1,D,C),G)) ) ) ) ) ),
    file(mesfunc4,s2_finseq_1__e19_6__mesfunc4),
    []).

fof(s2_finseq_1__e1_6_5__mesfunc4,axiom,(
    ! [A,B] : 
      ( ( m1_subset_1(A,k3_supinf_1)
        & m2_finseq_1(B,k3_supinf_1) )
     => ? [C] : 
          ( v1_relat_1(C)
          & v1_funct_1(C)
          & v1_finseq_1(C)
          & k3_finseq_1(C) = k3_finseq_1(B)
          & ! [D] : 
              ( m2_subset_1(D,k1_numbers,k5_numbers)
             => ( r2_hidden(D,k2_finseq_1(k3_finseq_1(B)))
               => k1_funct_1(C,D) = k2_extreal1(A,k4_mesfunc1(k5_numbers,B,D)) ) ) ) ) ),
    file(mesfunc4,s2_finseq_1__e1_6_5__mesfunc4),
    []).

fof(s2_finseq_1__e1_6_6__mesfunc4,axiom,(
    ! [A,B] : 
      ( ( m1_subset_1(A,k3_supinf_1)
        & m2_finseq_1(B,k3_supinf_1) )
     => ? [C] : 
          ( v1_relat_1(C)
          & v1_funct_1(C)
          & v1_finseq_1(C)
          & k3_finseq_1(C) = k3_finseq_1(B)
          & ! [D] : 
              ( m2_subset_1(D,k1_numbers,k5_numbers)
             => ( r2_hidden(D,k2_finseq_1(k3_finseq_1(B)))
               => k1_funct_1(C,D) = k2_extreal1(A,k4_mesfunc1(k5_numbers,B,D)) ) ) ) ) ),
    file(mesfunc4,s2_finseq_1__e1_6_6__mesfunc4),
    []).

fof(t10_mesfunc3,axiom,(
    ! [A] : 
      ( m2_finseq_1(A,k3_supinf_1)
     => ! [B] : 
          ( m2_finseq_1(B,k3_supinf_1)
         => ! [C] : 
              ( m1_subset_1(C,k3_supinf_1)
             => ( ( k5_finsop_1(A) = k5_finsop_1(B)
                  & ! [D] : 
                      ( m2_subset_1(D,k1_numbers,k5_numbers)
                     => ( r2_hidden(D,k5_finsop_1(B))
                       => k4_mesfunc1(k5_numbers,B,D) = k2_extreal1(C,k4_mesfunc1(k5_numbers,A,D)) ) ) )
               => ( ( ~ ( C != k4_supinf_1
                        & C != k5_supinf_1 )
                    & ? [D] : 
                        ( m2_subset_1(D,k1_numbers,k5_numbers)
                        & r2_hidden(D,k5_finsop_1(A))
                        & r1_supinf_1(k1_supinf_2,k4_mesfunc1(k5_numbers,A,D)) )
                    & ? [D] : 
                        ( m2_subset_1(D,k1_numbers,k5_numbers)
                        & r2_hidden(D,k5_finsop_1(A))
                        & r1_supinf_1(k4_mesfunc1(k5_numbers,A,D),k1_supinf_2) ) )
                  | k5_convfun1(B) = k2_extreal1(C,k5_convfun1(A)) ) ) ) ) ) ),
    file(mesfunc3,t10_mesfunc3),
    []).

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

fof(t19_supinf_2,axiom,
    ( ~ r1_supinf_1(k1_supinf_2,k5_supinf_1)
    & ~ r1_supinf_1(k4_supinf_1,k1_supinf_2) ),
    file(supinf_2,t19_supinf_2),
    []).

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

fof(t23_extreal1,axiom,(
    ! [A] : 
      ( m1_subset_1(A,k3_supinf_1)
     => ! [B] : 
          ( m1_subset_1(B,k3_supinf_1)
         => ! [C] : 
              ( m1_subset_1(C,k3_supinf_1)
             => k2_extreal1(k2_extreal1(A,B),C) = k2_extreal1(A,k2_extreal1(B,C)) ) ) ) ),
    file(extreal1,t23_extreal1),
    []).

fof(t23_supinf_1,axiom,(
    ! [A] : 
      ( m1_subset_1(A,k3_supinf_1)
     => ( r1_supinf_1(A,k5_supinf_1)
       => A = k5_supinf_1 ) ) ),
    file(supinf_1,t23_supinf_1),
    []).

fof(t24_supinf_1,axiom,(
    ! [A] : 
      ( m1_subset_1(A,k3_supinf_1)
     => ( r1_supinf_1(k4_supinf_1,A)
       => A = k4_supinf_1 ) ) ),
    file(supinf_1,t24_supinf_1),
    []).

fof(t27_extreal1,axiom,(
    ! [A] : 
      ( m1_subset_1(A,k3_supinf_1)
     => ! [B] : 
          ( m1_subset_1(B,k3_supinf_1)
         => ~ ( A != k5_measure6
              & A != k4_measure6
              & k2_extreal1(A,B) = k5_measure6
              & B != k5_measure6
              & B != k4_measure6 ) ) ) ),
    file(extreal1,t27_extreal1),
    []).

fof(t28_extreal1,axiom,(
    ! [A] : 
      ( m1_subset_1(A,k3_supinf_1)
     => ! [B] : 
          ( m1_subset_1(B,k3_supinf_1)
         => ~ ( A != k5_measure6
              & A != k4_measure6
              & k2_extreal1(A,B) = k4_measure6
              & B != k5_measure6
              & B != k4_measure6 ) ) ) ),
    file(extreal1,t28_extreal1),
    []).

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

fof(t3_mesfunc4,axiom,(
    ! [A] : 
      ( ~ v1_xboole_0(A)
     => ! [B] : 
          ( ( ~ v1_xboole_0(B)
            & v1_prob_1(B,A)
            & v1_measure1(B,A)
            & m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A))) )
         => ! [C] : 
              ( ( v1_funct_1(C)
                & m2_relset_1(C,A,k3_supinf_1) )
             => ! [D] : 
                  ( m3_measure1(D,A,B)
                 => ! [E] : 
                      ( ( v1_prob_2(E)
                        & m2_finseq_1(E,B) )
                     => ! [F] : 
                          ( m2_finseq_1(F,k3_supinf_1)
                         => ! [G] : 
                              ( m2_finseq_1(G,k3_supinf_1)
                             => ( ( r2_mesfunc2(A,B,C)
                                  & ! [H] : 
                                      ( r2_hidden(H,k1_relat_1(C))
                                     => r1_supinf_1(k1_supinf_2,k4_mesfunc1(A,C,H)) )
                                  & r1_mesfunc3(A,B,C,E,F)
                                  & k4_finseq_1(G) = k4_finseq_1(E)
                                  & ! [H] : 
                                      ( m2_subset_1(H,k1_numbers,k5_numbers)
                                     => ( r2_hidden(H,k4_finseq_1(G))
                                       => k4_mesfunc1(k5_numbers,G,H) = k2_extreal1(k4_mesfunc1(k5_numbers,F,H),k4_mesfunc1(k5_numbers,k1_partfun1(k5_numbers,B,B,k3_supinf_1,E,D),H)) ) ) )
                               => ( k1_relat_1(C) = k1_xboole_0
                                  | k1_mesfunc3(A,B,D,C) = k5_convfun1(G) ) ) ) ) ) ) ) ) ) ),
    file(mesfunc4,t3_mesfunc4),
    []).

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

fof(t45_extreal2,axiom,(
    ! [A] : 
      ( m1_subset_1(A,k3_supinf_1)
     => ! [B] : 
          ( m1_subset_1(B,k3_supinf_1)
         => ( ( ( ~ ( ~ r1_supinf_1(k1_supinf_2,A)
                    & r1_supinf_1(A,k1_supinf_2) )
                & ~ ( ~ r1_supinf_1(k1_supinf_2,B)
                    & r1_supinf_1(B,k1_supinf_2) ) )
              | ( ~ ( ~ r1_supinf_1(A,k1_supinf_2)
                    & r1_supinf_1(k1_supinf_2,A) )
                & ~ ( ~ r1_supinf_1(B,k1_supinf_2)
                    & r1_supinf_1(k1_supinf_2,B) ) ) )
          <=> r1_supinf_1(k1_supinf_2,k2_extreal1(A,B)) ) ) ) ),
    file(extreal2,t45_extreal2),
    []).

fof(t4_mesfunc4,axiom,(
    ! [A] : 
      ( ~ v1_xboole_0(A)
     => ! [B] : 
          ( ( ~ v1_xboole_0(B)
            & v1_prob_1(B,A)
            & v1_measure1(B,A)
            & m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A))) )
         => ! [C] : 
              ( ( v1_funct_1(C)
                & m2_relset_1(C,A,k3_supinf_1) )
             => ! [D] : 
                  ( m3_measure1(D,A,B)
                 => ~ ( r2_mesfunc2(A,B,C)
                      & k1_relat_1(C) != k1_xboole_0
                      & ! [E] : 
                          ( r2_hidden(E,k1_relat_1(C))
                         => r1_supinf_1(k1_supinf_2,k4_mesfunc1(A,C,E)) )
                      & ! [E] : 
                          ( ( v1_prob_2(E)
                            & m2_finseq_1(E,B) )
                         => ! [F] : 
                              ( m2_finseq_1(F,k3_supinf_1)
                             => ! [G] : 
                                  ( m2_finseq_1(G,k3_supinf_1)
                                 => ~ ( r1_mesfunc3(A,B,C,E,F)
                                      & k4_finseq_1(G) = k4_finseq_1(E)
                                      & ! [H] : 
                                          ( m2_subset_1(H,k1_numbers,k5_numbers)
                                         => ( r2_hidden(H,k4_finseq_1(G))
                                           => k4_mesfunc1(k5_numbers,G,H) = k2_extreal1(k4_mesfunc1(k5_numbers,F,H),k4_mesfunc1(k5_numbers,k1_partfun1(k5_numbers,B,B,k3_supinf_1,E,D),H)) ) )
                                      & k1_mesfunc3(A,B,D,C) = k5_convfun1(G) ) ) ) ) ) ) ) ) ) ),
    file(mesfunc4,t4_mesfunc4),
    []).

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(t59_extreal2,axiom,(
    ! [A] : 
      ( m1_subset_1(A,k3_supinf_1)
     => ! [B] : 
          ( m1_subset_1(B,k3_supinf_1)
         => ~ ( ~ r1_supinf_1(B,k3_supinf_2(A))
              & ~ r1_supinf_1(A,B)
              & ~ ( ~ r1_supinf_1(A,k1_supinf_2)
                  & ~ r1_supinf_1(A,k4_extreal1(B)) ) ) ) ) ),
    file(extreal2,t59_extreal2),
    []).

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(t67_extreal2,axiom,(
    ! [A] : 
      ( m1_subset_1(A,k3_supinf_1)
     => ( ( A = k5_measure6
          | A = k4_measure6 )
       => k4_extreal1(A) = k5_measure6 ) ) ),
    file(extreal2,t67_extreal2),
    []).

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),
    []).