% Mizar ND problem: t6_borsuk_1,borsuk_1,55,21 
fof(dh_c1_3__borsuk_1,definition,
    ( ! [A,B] : r1_tarski(k9_relat_1(k2_funcop_1(c1_3__borsuk_1,A),B),k1_tarski(A))
   => ! [C,D,E] : r1_tarski(k9_relat_1(k2_funcop_1(C,D),E),k1_tarski(D)) ),
    introduced(definition,[new_symbol(c1_3__borsuk_1),file(borsuk_1,c1_3__borsuk_1)]),
    [interesting(0.8),axiom,file(borsuk_1,c1_3__borsuk_1)]).

fof(dh_c2_3__borsuk_1,definition,
    ( ! [A] : r1_tarski(k9_relat_1(k2_funcop_1(c1_3__borsuk_1,c2_3__borsuk_1),A),k1_tarski(c2_3__borsuk_1))
   => ! [B,C] : r1_tarski(k9_relat_1(k2_funcop_1(c1_3__borsuk_1,B),C),k1_tarski(B)) ),
    introduced(definition,[new_symbol(c2_3__borsuk_1),file(borsuk_1,c2_3__borsuk_1)]),
    [interesting(0.8),axiom,file(borsuk_1,c2_3__borsuk_1)]).

fof(dh_c3_3__borsuk_1,definition,
    ( r1_tarski(k9_relat_1(k2_funcop_1(c1_3__borsuk_1,c2_3__borsuk_1),c3_3__borsuk_1),k1_tarski(c2_3__borsuk_1))
   => ! [A] : r1_tarski(k9_relat_1(k2_funcop_1(c1_3__borsuk_1,c2_3__borsuk_1),A),k1_tarski(c2_3__borsuk_1)) ),
    introduced(definition,[new_symbol(c3_3__borsuk_1),file(borsuk_1,c3_3__borsuk_1)]),
    [interesting(0.8),axiom,file(borsuk_1,c3_3__borsuk_1)]).

fof(fc10_membered,theorem,(
    ! [A] : 
      ( v1_int_1(A)
     => ( v1_membered(k1_tarski(A))
        & v2_membered(k1_tarski(A))
        & v3_membered(k1_tarski(A))
        & v4_membered(k1_tarski(A)) ) ) ),
    file(membered,fc10_membered),
    [interesting(0.9),axiom,file(membered,fc10_membered)]).

fof(fc11_membered,theorem,(
    ! [A] : 
      ( v4_ordinal2(A)
     => ( v1_membered(k1_tarski(A))
        & v2_membered(k1_tarski(A))
        & v3_membered(k1_tarski(A))
        & v4_membered(k1_tarski(A))
        & v5_membered(k1_tarski(A)) ) ) ),
    file(membered,fc11_membered),
    [interesting(0.9),axiom,file(membered,fc11_membered)]).

fof(fc7_membered,theorem,(
    ! [A] : 
      ( v1_xcmplx_0(A)
     => v1_membered(k1_tarski(A)) ) ),
    file(membered,fc7_membered),
    [interesting(0.9),axiom,file(membered,fc7_membered)]).

fof(fc8_membered,theorem,(
    ! [A] : 
      ( v1_xreal_0(A)
     => ( v1_membered(k1_tarski(A))
        & v2_membered(k1_tarski(A)) ) ) ),
    file(membered,fc8_membered),
    [interesting(0.9),axiom,file(membered,fc8_membered)]).

fof(fc9_membered,theorem,(
    ! [A] : 
      ( v1_rat_1(A)
     => ( v1_membered(k1_tarski(A))
        & v2_membered(k1_tarski(A))
        & v3_membered(k1_tarski(A)) ) ) ),
    file(membered,fc9_membered),
    [interesting(0.9),axiom,file(membered,fc9_membered)]).

fof(antisymmetry_r2_hidden,theorem,(
    ! [A,B] : 
      ( r2_hidden(A,B)
     => ~ r2_hidden(B,A) ) ),
    file(hidden,r2_hidden),
    [interesting(0.9),axiom,file(hidden,r2_hidden)]).

fof(dt_k1_xboole_0,axiom,(
    $true ),
    file(xboole_0,k1_xboole_0),
    [interesting(0.9),axiom,file(xboole_0,k1_xboole_0)]).

fof(cc10_membered,theorem,(
    ! [A] : 
      ( v1_membered(A)
     => ! [B] : 
          ( m1_subset_1(B,A)
         => v1_xcmplx_0(B) ) ) ),
    file(membered,cc10_membered),
    [interesting(0.9),axiom,file(membered,cc10_membered)]).

fof(cc11_membered,theorem,(
    ! [A] : 
      ( v2_membered(A)
     => ! [B] : 
          ( m1_subset_1(B,A)
         => ( v1_xcmplx_0(B)
            & v1_xreal_0(B) ) ) ) ),
    file(membered,cc11_membered),
    [interesting(0.9),axiom,file(membered,cc11_membered)]).

fof(cc12_membered,theorem,(
    ! [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),
    [interesting(0.9),axiom,file(membered,cc12_membered)]).

fof(cc13_membered,theorem,(
    ! [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),
    [interesting(0.9),axiom,file(membered,cc13_membered)]).

fof(cc14_membered,theorem,(
    ! [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),
    [interesting(0.9),axiom,file(membered,cc14_membered)]).

fof(cc16_membered,theorem,(
    ! [A] : 
      ( v1_membered(A)
     => ! [B] : 
          ( m1_subset_1(B,k1_zfmisc_1(A))
         => v1_membered(B) ) ) ),
    file(membered,cc16_membered),
    [interesting(0.9),axiom,file(membered,cc16_membered)]).

fof(cc17_membered,theorem,(
    ! [A] : 
      ( v2_membered(A)
     => ! [B] : 
          ( m1_subset_1(B,k1_zfmisc_1(A))
         => ( v1_membered(B)
            & v2_membered(B) ) ) ) ),
    file(membered,cc17_membered),
    [interesting(0.9),axiom,file(membered,cc17_membered)]).

fof(cc18_membered,theorem,(
    ! [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),
    [interesting(0.9),axiom,file(membered,cc18_membered)]).

fof(cc19_membered,theorem,(
    ! [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),
    [interesting(0.9),axiom,file(membered,cc19_membered)]).

fof(cc1_membered,theorem,(
    ! [A] : 
      ( v5_membered(A)
     => v4_membered(A) ) ),
    file(membered,cc1_membered),
    [interesting(0.9),axiom,file(membered,cc1_membered)]).

fof(cc20_membered,theorem,(
    ! [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),
    [interesting(0.9),axiom,file(membered,cc20_membered)]).

fof(cc2_membered,theorem,(
    ! [A] : 
      ( v4_membered(A)
     => v3_membered(A) ) ),
    file(membered,cc2_membered),
    [interesting(0.9),axiom,file(membered,cc2_membered)]).

fof(cc3_membered,theorem,(
    ! [A] : 
      ( v3_membered(A)
     => v2_membered(A) ) ),
    file(membered,cc3_membered),
    [interesting(0.9),axiom,file(membered,cc3_membered)]).

fof(cc4_membered,theorem,(
    ! [A] : 
      ( v2_membered(A)
     => v1_membered(A) ) ),
    file(membered,cc4_membered),
    [interesting(0.9),axiom,file(membered,cc4_membered)]).

fof(fc2_funcop_1,theorem,(
    ! [A] : 
      ( v1_xboole_0(k2_funcop_1(k1_xboole_0,A))
      & v1_relat_1(k2_funcop_1(k1_xboole_0,A))
      & v1_funct_1(k2_funcop_1(k1_xboole_0,A))
      & v2_funct_1(k2_funcop_1(k1_xboole_0,A)) ) ),
    file(funcop_1,fc2_funcop_1),
    [interesting(0.9),axiom,file(funcop_1,fc2_funcop_1)]).

fof(fc6_membered,theorem,
    ( 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),
    [interesting(0.9),axiom,file(membered,fc6_membered)]).

fof(rc1_membered,theorem,(
    ? [A] : 
      ( ~ v1_xboole_0(A)
      & v1_membered(A)
      & v2_membered(A)
      & v3_membered(A)
      & v4_membered(A)
      & v5_membered(A) ) ),
    file(membered,rc1_membered),
    [interesting(0.9),axiom,file(membered,rc1_membered)]).

fof(rc1_partfun1,theorem,(
    ? [A] : 
      ( v1_relat_1(A)
      & v1_funct_1(A)
      & v2_funct_1(A)
      & v1_xboole_0(A) ) ),
    file(partfun1,rc1_partfun1),
    [interesting(0.9),axiom,file(partfun1,rc1_partfun1)]).

fof(t1_subset,theorem,(
    ! [A,B] : 
      ( r2_hidden(A,B)
     => m1_subset_1(A,B) ) ),
    file(subset,t1_subset),
    [interesting(0.9),axiom,file(subset,t1_subset)]).

fof(t4_subset,theorem,(
    ! [A,B,C] : 
      ( ( r2_hidden(A,B)
        & m1_subset_1(B,k1_zfmisc_1(C)) )
     => m1_subset_1(A,C) ) ),
    file(subset,t4_subset),
    [interesting(0.9),axiom,file(subset,t4_subset)]).

fof(t5_subset,theorem,(
    ! [A,B,C] : 
      ~ ( r2_hidden(A,B)
        & m1_subset_1(B,k1_zfmisc_1(C))
        & v1_xboole_0(C) ) ),
    file(subset,t5_subset),
    [interesting(0.9),axiom,file(subset,t5_subset)]).

fof(t8_boole,theorem,(
    ! [A,B] : 
      ~ ( v1_xboole_0(A)
        & A != B
        & v1_xboole_0(B) ) ),
    file(boole,t8_boole),
    [interesting(0.9),axiom,file(boole,t8_boole)]).

fof(existence_m1_subset_1,axiom,(
    ! [A] : 
    ? [B] : m1_subset_1(B,A) ),
    file(subset_1,m1_subset_1),
    [interesting(0.9),axiom,file(subset_1,m1_subset_1)]).

fof(dt_k1_zfmisc_1,axiom,(
    $true ),
    file(zfmisc_1,k1_zfmisc_1),
    [interesting(0.9),axiom,file(zfmisc_1,k1_zfmisc_1)]).

fof(dt_m1_subset_1,axiom,(
    $true ),
    file(subset_1,m1_subset_1),
    [interesting(0.9),axiom,file(subset_1,m1_subset_1)]).

fof(cc15_membered,theorem,(
    ! [A] : 
      ( v1_xboole_0(A)
     => ( v1_membered(A)
        & v2_membered(A)
        & v3_membered(A)
        & v4_membered(A)
        & v5_membered(A) ) ) ),
    file(membered,cc15_membered),
    [interesting(0.9),axiom,file(membered,cc15_membered)]).

fof(cc1_finset_1,theorem,(
    ! [A] : 
      ( v1_xboole_0(A)
     => v1_finset_1(A) ) ),
    file(finset_1,cc1_finset_1),
    [interesting(0.9),axiom,file(finset_1,cc1_finset_1)]).

fof(cc2_finset_1,theorem,(
    ! [A] : 
      ( v1_finset_1(A)
     => ! [B] : 
          ( m1_subset_1(B,k1_zfmisc_1(A))
         => v1_finset_1(B) ) ) ),
    file(finset_1,cc2_finset_1),
    [interesting(0.9),axiom,file(finset_1,cc2_finset_1)]).

fof(fc13_finset_1,theorem,(
    ! [A,B] : 
      ( ( v1_relat_1(A)
        & v1_funct_1(A)
        & v1_finset_1(B) )
     => v1_finset_1(k9_relat_1(A,B)) ) ),
    file(finset_1,fc13_finset_1),
    [interesting(0.9),axiom,file(finset_1,fc13_finset_1)]).

fof(fc1_subset_1,theorem,(
    ! [A] : ~ v1_xboole_0(k1_zfmisc_1(A)) ),
    file(subset_1,fc1_subset_1),
    [interesting(0.9),axiom,file(subset_1,fc1_subset_1)]).

fof(fc3_funcop_1,theorem,(
    ! [A,B] : 
      ( v1_xboole_0(B)
     => ( v1_xboole_0(k2_funcop_1(B,A))
        & v1_relat_1(k2_funcop_1(B,A))
        & v1_funct_1(k2_funcop_1(B,A))
        & v2_funct_1(k2_funcop_1(B,A)) ) ) ),
    file(funcop_1,fc3_funcop_1),
    [interesting(0.9),axiom,file(funcop_1,fc3_funcop_1)]).

fof(fc9_funcop_1,theorem,(
    ! [A,B] : 
      ( ~ v1_xboole_0(B)
     => ( v1_relat_1(k2_funcop_1(A,B))
        & v2_relat_1(k2_funcop_1(A,B))
        & v1_funct_1(k2_funcop_1(A,B)) ) ) ),
    file(funcop_1,fc9_funcop_1),
    [interesting(0.9),axiom,file(funcop_1,fc9_funcop_1)]).

fof(rc1_finset_1,theorem,(
    ? [A] : 
      ( ~ v1_xboole_0(A)
      & v1_finset_1(A) ) ),
    file(finset_1,rc1_finset_1),
    [interesting(0.9),axiom,file(finset_1,rc1_finset_1)]).

fof(rc1_subset_1,theorem,(
    ! [A] : 
      ( ~ v1_xboole_0(A)
     => ? [B] : 
          ( m1_subset_1(B,k1_zfmisc_1(A))
          & ~ v1_xboole_0(B) ) ) ),
    file(subset_1,rc1_subset_1),
    [interesting(0.9),axiom,file(subset_1,rc1_subset_1)]).

fof(rc2_subset_1,theorem,(
    ! [A] : 
    ? [B] : 
      ( m1_subset_1(B,k1_zfmisc_1(A))
      & v1_xboole_0(B) ) ),
    file(subset_1,rc2_subset_1),
    [interesting(0.9),axiom,file(subset_1,rc2_subset_1)]).

fof(rc3_finset_1,theorem,(
    ! [A] : 
      ( ~ v1_xboole_0(A)
     => ? [B] : 
          ( m1_subset_1(B,k1_zfmisc_1(A))
          & ~ v1_xboole_0(B)
          & v1_finset_1(B) ) ) ),
    file(finset_1,rc3_finset_1),
    [interesting(0.9),axiom,file(finset_1,rc3_finset_1)]).

fof(rc4_finset_1,theorem,(
    ! [A] : 
      ( ~ v1_xboole_0(A)
     => ? [B] : 
          ( m1_subset_1(B,k1_zfmisc_1(A))
          & ~ v1_xboole_0(B)
          & v1_finset_1(B) ) ) ),
    file(finset_1,rc4_finset_1),
    [interesting(0.9),axiom,file(finset_1,rc4_finset_1)]).

fof(t2_subset,theorem,(
    ! [A,B] : 
      ( m1_subset_1(A,B)
     => ( v1_xboole_0(B)
        | r2_hidden(A,B) ) ) ),
    file(subset,t2_subset),
    [interesting(0.9),axiom,file(subset,t2_subset)]).

fof(t6_boole,theorem,(
    ! [A] : 
      ( v1_xboole_0(A)
     => A = k1_xboole_0 ) ),
    file(boole,t6_boole),
    [interesting(0.9),axiom,file(boole,t6_boole)]).

fof(t7_boole,theorem,(
    ! [A,B] : 
      ~ ( r2_hidden(A,B)
        & v1_xboole_0(B) ) ),
    file(boole,t7_boole),
    [interesting(0.9),axiom,file(boole,t7_boole)]).

fof(reflexivity_r1_tarski,theorem,(
    ! [A,B] : r1_tarski(A,A) ),
    file(tarski,r1_tarski),
    [interesting(0.9),axiom,file(tarski,r1_tarski)]).

fof(dt_k1_tarski,axiom,(
    $true ),
    file(tarski,k1_tarski),
    [interesting(0.9),axiom,file(tarski,k1_tarski)]).

fof(dt_k2_funcop_1,axiom,(
    $true ),
    file(funcop_1,k2_funcop_1),
    [interesting(0.9),axiom,file(funcop_1,k2_funcop_1)]).

fof(dt_k2_relat_1,axiom,(
    $true ),
    file(relat_1,k2_relat_1),
    [interesting(0.9),axiom,file(relat_1,k2_relat_1)]).

fof(dt_k9_relat_1,axiom,(
    $true ),
    file(relat_1,k9_relat_1),
    [interesting(0.9),axiom,file(relat_1,k9_relat_1)]).

fof(dt_c1_3__borsuk_1,assumption,(
    $true ),
    introduced(assumption,[file(borsuk_1,c1_3__borsuk_1)]),
    [interesting(0.8),axiom,file(borsuk_1,c1_3__borsuk_1)]).

fof(dt_c2_3__borsuk_1,assumption,(
    $true ),
    introduced(assumption,[file(borsuk_1,c2_3__borsuk_1)]),
    [interesting(0.8),axiom,file(borsuk_1,c2_3__borsuk_1)]).

fof(dt_c3_3__borsuk_1,assumption,(
    $true ),
    introduced(assumption,[file(borsuk_1,c3_3__borsuk_1)]),
    [interesting(0.8),axiom,file(borsuk_1,c3_3__borsuk_1)]).

fof(fc1_finset_1,theorem,(
    ! [A] : 
      ( ~ v1_xboole_0(k1_tarski(A))
      & v1_finset_1(k1_tarski(A)) ) ),
    file(finset_1,fc1_finset_1),
    [interesting(0.9),axiom,file(finset_1,fc1_finset_1)]).

fof(fc1_funcop_1,theorem,(
    ! [A,B] : 
      ( v1_relat_1(k2_funcop_1(A,B))
      & v1_funct_1(k2_funcop_1(A,B)) ) ),
    file(funcop_1,fc1_funcop_1),
    [interesting(0.9),axiom,file(funcop_1,fc1_funcop_1)]).

fof(fc2_subset_1,theorem,(
    ! [A] : ~ v1_xboole_0(k1_tarski(A)) ),
    file(subset_1,fc2_subset_1),
    [interesting(0.9),axiom,file(subset_1,fc2_subset_1)]).

fof(t3_subset,theorem,(
    ! [A,B] : 
      ( m1_subset_1(A,k1_zfmisc_1(B))
    <=> r1_tarski(A,B) ) ),
    file(subset,t3_subset),
    [interesting(0.9),axiom,file(subset,t3_subset)]).

fof(dt_k1_relat_1,axiom,(
    $true ),
    file(relat_1,k1_relat_1),
    [interesting(0.9),axiom,file(relat_1,k1_relat_1)]).

fof(t19_funcop_1,theorem,(
    ! [A,B] : 
      ( k1_relat_1(k2_funcop_1(A,B)) = A
      & r1_tarski(k2_relat_1(k2_funcop_1(A,B)),k1_tarski(B)) ) ),
    file(funcop_1,t19_funcop_1),
    [interesting(0.9),axiom,file(funcop_1,t19_funcop_1)]).

fof(t144_relat_1,theorem,(
    ! [A,B] : 
      ( v1_relat_1(B)
     => r1_tarski(k9_relat_1(B,A),k2_relat_1(B)) ) ),
    file(relat_1,t144_relat_1),
    [interesting(0.9),axiom,file(relat_1,t144_relat_1)]).

fof(e1_3__borsuk_1,plain,
    ( r1_tarski(k9_relat_1(k2_funcop_1(c1_3__borsuk_1,c2_3__borsuk_1),c3_3__borsuk_1),k2_relat_1(k2_funcop_1(c1_3__borsuk_1,c2_3__borsuk_1)))
    & r1_tarski(k2_relat_1(k2_funcop_1(c1_3__borsuk_1,c2_3__borsuk_1)),k1_tarski(c2_3__borsuk_1)) ),
    inference(mizar_by,[status(thm),assumptions([dt_c1_3__borsuk_1,dt_c2_3__borsuk_1,dt_c3_3__borsuk_1])],[fc10_membered,fc11_membered,fc7_membered,fc8_membered,fc9_membered,antisymmetry_r2_hidden,dt_k1_xboole_0,cc10_membered,cc11_membered,cc12_membered,cc13_membered,cc14_membered,cc16_membered,cc17_membered,cc18_membered,cc19_membered,cc1_membered,cc20_membered,cc2_membered,cc3_membered,cc4_membered,fc2_funcop_1,fc6_membered,rc1_membered,rc1_partfun1,t1_subset,t4_subset,t5_subset,existence_m1_subset_1,dt_k1_zfmisc_1,dt_m1_subset_1,cc15_membered,cc1_finset_1,cc2_finset_1,fc13_finset_1,fc1_subset_1,fc3_funcop_1,fc9_funcop_1,rc1_finset_1,rc1_subset_1,rc2_subset_1,rc3_finset_1,rc4_finset_1,t2_subset,t6_boole,t7_boole,t8_boole,reflexivity_r1_tarski,dt_k1_relat_1,dt_k1_tarski,dt_k2_funcop_1,dt_k2_relat_1,dt_k9_relat_1,dt_c1_3__borsuk_1,dt_c2_3__borsuk_1,dt_c3_3__borsuk_1,fc1_finset_1,fc1_funcop_1,fc2_subset_1,t3_subset,t19_funcop_1,t144_relat_1]),
    [interesting(0.8),file(borsuk_1,e1_3__borsuk_1),[file(borsuk_1,e1_3__borsuk_1)]]).

fof(t1_xboole_1,theorem,(
    ! [A,B,C] : 
      ( ( r1_tarski(A,B)
        & r1_tarski(B,C) )
     => r1_tarski(A,C) ) ),
    file(xboole_1,t1_xboole_1),
    [interesting(0.9),axiom,file(xboole_1,t1_xboole_1)]).

fof(e2_3__borsuk_1,plain,(
    r1_tarski(k9_relat_1(k2_funcop_1(c1_3__borsuk_1,c2_3__borsuk_1),c3_3__borsuk_1),k1_tarski(c2_3__borsuk_1)) ),
    inference(mizar_by,[status(thm),assumptions([dt_c1_3__borsuk_1,dt_c2_3__borsuk_1,dt_c3_3__borsuk_1])],[fc10_membered,fc11_membered,fc7_membered,fc8_membered,fc9_membered,antisymmetry_r2_hidden,dt_k1_xboole_0,cc10_membered,cc11_membered,cc12_membered,cc13_membered,cc14_membered,cc16_membered,cc17_membered,cc18_membered,cc19_membered,cc1_membered,cc20_membered,cc2_membered,cc3_membered,cc4_membered,fc2_funcop_1,fc6_membered,rc1_membered,rc1_partfun1,t1_subset,t4_subset,t5_subset,t8_boole,existence_m1_subset_1,dt_k1_zfmisc_1,dt_m1_subset_1,cc15_membered,cc1_finset_1,cc2_finset_1,fc13_finset_1,fc1_subset_1,fc3_funcop_1,fc9_funcop_1,rc1_finset_1,rc1_subset_1,rc2_subset_1,rc3_finset_1,rc4_finset_1,t2_subset,t6_boole,t7_boole,reflexivity_r1_tarski,dt_k1_tarski,dt_k2_funcop_1,dt_k2_relat_1,dt_k9_relat_1,dt_c1_3__borsuk_1,dt_c2_3__borsuk_1,dt_c3_3__borsuk_1,fc1_finset_1,fc1_funcop_1,fc2_subset_1,t3_subset,e1_3__borsuk_1,t1_xboole_1]),
    [interesting(0.8),file(borsuk_1,e2_3__borsuk_1),[file(borsuk_1,e2_3__borsuk_1)]]).

fof(i4_3__borsuk_1,theorem,(
    $true ),
    introduced(tautology,[file(borsuk_1,i4_3__borsuk_1)]),
    [interesting(0.8),trivial,file(borsuk_1,i4_3__borsuk_1)]).

fof(i3_3__borsuk_1,plain,(
    r1_tarski(k9_relat_1(k2_funcop_1(c1_3__borsuk_1,c2_3__borsuk_1),c3_3__borsuk_1),k1_tarski(c2_3__borsuk_1)) ),
    inference(conclusion,[status(thm),assumptions([dt_c1_3__borsuk_1,dt_c2_3__borsuk_1,dt_c3_3__borsuk_1])],[e2_3__borsuk_1,i4_3__borsuk_1]),
    [interesting(0.8),file(borsuk_1,i3_3__borsuk_1),[file(borsuk_1,i3_3__borsuk_1)]]).

fof(i3_3_tmp__borsuk_1,plain,(
    r1_tarski(k9_relat_1(k2_funcop_1(c1_3__borsuk_1,c2_3__borsuk_1),c3_3__borsuk_1),k1_tarski(c2_3__borsuk_1)) ),
    inference(discharge_asm,[status(thm),assumptions([dt_c1_3__borsuk_1,dt_c2_3__borsuk_1]),discharge_asm(discharge,[dt_c3_3__borsuk_1])],[dt_c3_3__borsuk_1,i3_3__borsuk_1]),
    [interesting(0.8),i2_3__borsuk_1]).

fof(i2_3__borsuk_1,plain,(
    ! [A] : r1_tarski(k9_relat_1(k2_funcop_1(c1_3__borsuk_1,c2_3__borsuk_1),A),k1_tarski(c2_3__borsuk_1)) ),
    inference(let,[status(thm),assumptions([dt_c1_3__borsuk_1,dt_c2_3__borsuk_1])],[i3_3_tmp__borsuk_1,dh_c3_3__borsuk_1]),
    [interesting(0.8),file(borsuk_1,i2_3__borsuk_1),[file(borsuk_1,i2_3__borsuk_1)]]).

fof(i2_3_tmp__borsuk_1,plain,(
    ! [A] : r1_tarski(k9_relat_1(k2_funcop_1(c1_3__borsuk_1,c2_3__borsuk_1),A),k1_tarski(c2_3__borsuk_1)) ),
    inference(discharge_asm,[status(thm),assumptions([dt_c1_3__borsuk_1]),discharge_asm(discharge,[dt_c2_3__borsuk_1])],[dt_c2_3__borsuk_1,i2_3__borsuk_1]),
    [interesting(0.8),i1_3__borsuk_1]).

fof(i1_3__borsuk_1,plain,(
    ! [A,B] : r1_tarski(k9_relat_1(k2_funcop_1(c1_3__borsuk_1,A),B),k1_tarski(A)) ),
    inference(let,[status(thm),assumptions([dt_c1_3__borsuk_1])],[i2_3_tmp__borsuk_1,dh_c2_3__borsuk_1]),
    [interesting(0.8),file(borsuk_1,i1_3__borsuk_1),[file(borsuk_1,i1_3__borsuk_1)]]).

fof(i1_3_tmp__borsuk_1,plain,(
    ! [A,B] : r1_tarski(k9_relat_1(k2_funcop_1(c1_3__borsuk_1,A),B),k1_tarski(A)) ),
    inference(discharge_asm,[status(thm),assumptions([]),discharge_asm(discharge,[dt_c1_3__borsuk_1])],[dt_c1_3__borsuk_1,i1_3__borsuk_1]),
    [interesting(1),t6_borsuk_1]).

fof(t6_borsuk_1,theorem,(
    ! [A,B,C] : r1_tarski(k9_relat_1(k2_funcop_1(A,B),C),k1_tarski(B)) ),
    inference(let,[status(thm),assumptions([])],[i1_3_tmp__borsuk_1,dh_c1_3__borsuk_1]),
    [interesting(1),file(borsuk_1,t6_borsuk_1),[file(borsuk_1,t6_borsuk_1)]]).