% Mizar ND problem: t149_orders_1,orders_1,888,55 
fof(dh_c1_71__orders_1,definition,
    ( ( v1_relat_1(c1_71__orders_1)
     => ! [A] : 
          ~ ( r4_orders_1(c1_71__orders_1,A)
            & A = k1_xboole_0 ) )
   => ! [B] : 
        ( v1_relat_1(B)
       => ! [C] : 
            ~ ( r4_orders_1(B,C)
              & C = k1_xboole_0 ) ) ),
    introduced(definition,[new_symbol(c1_71__orders_1),file(orders_1,c1_71__orders_1)]),
    [interesting(0.8),axiom,file(orders_1,c1_71__orders_1)]).

fof(dh_c2_71__orders_1,definition,
    ( ~ ( r4_orders_1(c1_71__orders_1,c2_71__orders_1)
        & c2_71__orders_1 = k1_xboole_0 )
   => ! [A] : 
        ~ ( r4_orders_1(c1_71__orders_1,A)
          & A = k1_xboole_0 ) ),
    introduced(definition,[new_symbol(c2_71__orders_1),file(orders_1,c2_71__orders_1)]),
    [interesting(0.8),axiom,file(orders_1,c2_71__orders_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(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(cc1_ordinal1,theorem,(
    ! [A] : 
      ( v3_ordinal1(A)
     => ( v1_ordinal1(A)
        & v2_ordinal1(A) ) ) ),
    file(ordinal1,cc1_ordinal1),
    [interesting(0.9),axiom,file(ordinal1,cc1_ordinal1)]).

fof(cc2_ordinal1,theorem,(
    ! [A] : 
      ( ( v1_ordinal1(A)
        & v2_ordinal1(A) )
     => v3_ordinal1(A) ) ),
    file(ordinal1,cc2_ordinal1),
    [interesting(0.9),axiom,file(ordinal1,cc2_ordinal1)]).

fof(cc3_ordinal1,theorem,(
    ! [A] : 
      ( v1_xboole_0(A)
     => ( v1_ordinal1(A)
        & v2_ordinal1(A)
        & v3_ordinal1(A) ) ) ),
    file(ordinal1,cc3_ordinal1),
    [interesting(0.9),axiom,file(ordinal1,cc3_ordinal1)]).

fof(rc1_ordinal1,theorem,(
    ? [A] : 
      ( v1_ordinal1(A)
      & v2_ordinal1(A)
      & v3_ordinal1(A) ) ),
    file(ordinal1,rc1_ordinal1),
    [interesting(0.9),axiom,file(ordinal1,rc1_ordinal1)]).

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(rc2_ordinal1,theorem,(
    ? [A] : 
      ( v1_relat_1(A)
      & v1_funct_1(A)
      & v2_funct_1(A)
      & v1_xboole_0(A)
      & v1_ordinal1(A)
      & v2_ordinal1(A)
      & v3_ordinal1(A) ) ),
    file(ordinal1,rc2_ordinal1),
    [interesting(0.9),axiom,file(ordinal1,rc2_ordinal1)]).

fof(rc3_ordinal1,theorem,(
    ? [A] : 
      ( ~ v1_xboole_0(A)
      & v1_ordinal1(A)
      & v2_ordinal1(A)
      & v3_ordinal1(A) ) ),
    file(ordinal1,rc3_ordinal1),
    [interesting(0.9),axiom,file(ordinal1,rc3_ordinal1)]).

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

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(dt_k2_wellord1,axiom,(
    ! [A,B] : 
      ( v1_relat_1(A)
     => v1_relat_1(k2_wellord1(A,B)) ) ),
    file(wellord1,k2_wellord1),
    [interesting(0.9),axiom,file(wellord1,k2_wellord1)]).

fof(dt_k4_tarski,axiom,(
    $true ),
    file(tarski,k4_tarski),
    [interesting(0.9),axiom,file(tarski,k4_tarski)]).

fof(dt_c1_71__orders_1,assumption,(
    v1_relat_1(c1_71__orders_1) ),
    introduced(assumption,[file(orders_1,c1_71__orders_1)]),
    [interesting(0.8),axiom,file(orders_1,c1_71__orders_1)]).

fof(dt_c2_71__orders_1,assumption,(
    $true ),
    introduced(assumption,[file(orders_1,c2_71__orders_1)]),
    [interesting(0.8),axiom,file(orders_1,c2_71__orders_1)]).

fof(fc2_ordinal1,theorem,
    ( 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_xboole_0(k1_xboole_0)
    & v1_ordinal1(k1_xboole_0)
    & v2_ordinal1(k1_xboole_0)
    & v3_ordinal1(k1_xboole_0) ),
    file(ordinal1,fc2_ordinal1),
    [interesting(0.9),axiom,file(ordinal1,fc2_ordinal1)]).

fof(e1_71__orders_1,assumption,(
    ! [A] : 
      ~ ( r1_tarski(A,c2_71__orders_1)
        & v3_orders_1(k2_wellord1(c1_71__orders_1,A))
        & ! [B] : 
            ~ ( r2_hidden(B,c2_71__orders_1)
              & ! [C] : 
                  ( r2_hidden(C,A)
                 => r2_hidden(k4_tarski(C,B),c1_71__orders_1) ) ) ) ),
    introduced(assumption,[file(orders_1,e1_71__orders_1)]),
    [interesting(0.8),axiom,file(orders_1,e1_71__orders_1)]).

fof(d9_orders_1,definition,(
    ! [A] : 
      ( v1_relat_1(A)
     => ! [B] : 
          ( r4_orders_1(A,B)
        <=> ! [C] : 
              ~ ( r1_tarski(C,B)
                & v3_orders_1(k2_wellord1(A,C))
                & ! [D] : 
                    ~ ( r2_hidden(D,B)
                      & ! [E] : 
                          ( r2_hidden(E,C)
                         => r2_hidden(k4_tarski(E,D),A) ) ) ) ) ) ),
    file(orders_1,d9_orders_1),
    [interesting(0.9),axiom,file(orders_1,d9_orders_1)]).

fof(commutativity_k2_tarski,theorem,(
    ! [A,B] : k2_tarski(A,B) = k2_tarski(B,A) ),
    file(tarski,k2_tarski),
    [interesting(0.9),axiom,file(tarski,k2_tarski)]).

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

fof(dt_k2_tarski,axiom,(
    $true ),
    file(tarski,k2_tarski),
    [interesting(0.9),axiom,file(tarski,k2_tarski)]).

fof(dt_m1_subset_1,axiom,(
    $true ),
    file(subset_1,m1_subset_1),
    [interesting(0.9),axiom,file(subset_1,m1_subset_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(fc2_finset_1,theorem,(
    ! [A,B] : 
      ( ~ v1_xboole_0(k2_tarski(A,B))
      & v1_finset_1(k2_tarski(A,B)) ) ),
    file(finset_1,fc2_finset_1),
    [interesting(0.9),axiom,file(finset_1,fc2_finset_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(fc3_subset_1,theorem,(
    ! [A,B] : ~ v1_xboole_0(k2_tarski(A,B)) ),
    file(subset_1,fc3_subset_1),
    [interesting(0.9),axiom,file(subset_1,fc3_subset_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(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(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(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(d5_tarski,definition,(
    ! [A,B] : k4_tarski(A,B) = k2_tarski(k2_tarski(A,B),k1_tarski(A)) ),
    file(tarski,d5_tarski),
    [interesting(0.9),axiom,file(tarski,d5_tarski)]).

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(fc10_finset_1,theorem,(
    ! [A,B] : 
      ( v1_finset_1(B)
     => v1_finset_1(k3_xboole_0(A,B)) ) ),
    file(finset_1,fc10_finset_1),
    [interesting(0.9),axiom,file(finset_1,fc10_finset_1)]).

fof(fc11_finset_1,theorem,(
    ! [A,B] : 
      ( v1_finset_1(A)
     => v1_finset_1(k3_xboole_0(A,B)) ) ),
    file(finset_1,fc11_finset_1),
    [interesting(0.9),axiom,file(finset_1,fc11_finset_1)]).

fof(fc14_finset_1,theorem,(
    ! [A,B] : 
      ( ( v1_finset_1(A)
        & v1_finset_1(B) )
     => v1_finset_1(k2_zfmisc_1(A,B)) ) ),
    file(finset_1,fc14_finset_1),
    [interesting(0.9),axiom,file(finset_1,fc14_finset_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(commutativity_k3_xboole_0,theorem,(
    ! [A,B] : k3_xboole_0(A,B) = k3_xboole_0(B,A) ),
    file(xboole_0,k3_xboole_0),
    [interesting(0.9),axiom,file(xboole_0,k3_xboole_0)]).

fof(idempotence_k3_xboole_0,theorem,(
    ! [A,B] : k3_xboole_0(A,A) = A ),
    file(xboole_0,k3_xboole_0),
    [interesting(0.9),axiom,file(xboole_0,k3_xboole_0)]).

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_k2_zfmisc_1,axiom,(
    $true ),
    file(zfmisc_1,k2_zfmisc_1),
    [interesting(0.9),axiom,file(zfmisc_1,k2_zfmisc_1)]).

fof(dt_k3_xboole_0,axiom,(
    $true ),
    file(xboole_0,k3_xboole_0),
    [interesting(0.9),axiom,file(xboole_0,k3_xboole_0)]).

fof(cc1_relset_1,theorem,(
    ! [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),
    [interesting(0.9),axiom,file(relset_1,cc1_relset_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(fc4_subset_1,theorem,(
    ! [A,B] : 
      ( ( ~ v1_xboole_0(A)
        & ~ v1_xboole_0(B) )
     => ~ v1_xboole_0(k2_zfmisc_1(A,B)) ) ),
    file(subset_1,fc4_subset_1),
    [interesting(0.9),axiom,file(subset_1,fc4_subset_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(t2_boole,theorem,(
    ! [A] : k3_xboole_0(A,k1_xboole_0) = k1_xboole_0 ),
    file(boole,t2_boole),
    [interesting(0.9),axiom,file(boole,t2_boole)]).

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(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(d6_wellord1,definition,(
    ! [A] : 
      ( v1_relat_1(A)
     => ! [B] : k2_wellord1(A,B) = k3_xboole_0(A,k2_zfmisc_1(B,B)) ) ),
    file(wellord1,d6_wellord1),
    [interesting(0.9),axiom,file(wellord1,d6_wellord1)]).

fof(l172_orders_1,plain,(
    ! [A] : 
      ( v1_relat_1(A)
     => k2_wellord1(A,k1_xboole_0) = k1_xboole_0 ) ),
    file(orders_1,l172_orders_1),
    [interesting(0.9),axiom,file(orders_1,l172_orders_1)]).

fof(t119_orders_1,theorem,
    ( v1_orders_1(k1_xboole_0)
    & v2_orders_1(k1_xboole_0)
    & v3_orders_1(k1_xboole_0)
    & v2_wellord1(k1_xboole_0) ),
    file(orders_1,t119_orders_1),
    [interesting(0.9),axiom,file(orders_1,t119_orders_1)]).

fof(t2_xboole_1,theorem,(
    ! [A] : r1_tarski(k1_xboole_0,A) ),
    file(xboole_1,t2_xboole_1),
    [interesting(0.9),axiom,file(xboole_1,t2_xboole_1)]).

fof(e2_71__orders_1,plain,
    ( r1_tarski(k1_xboole_0,c2_71__orders_1)
    & v3_orders_1(k2_wellord1(c1_71__orders_1,k1_xboole_0)) ),
    inference(mizar_by,[status(thm),assumptions([dt_c1_71__orders_1,dt_c2_71__orders_1])],[antisymmetry_r2_hidden,cc2_finset_1,fc10_finset_1,fc11_finset_1,fc14_finset_1,rc1_finset_1,rc3_finset_1,rc4_finset_1,t1_subset,t4_subset,t5_subset,commutativity_k3_xboole_0,idempotence_k3_xboole_0,existence_m1_subset_1,dt_k1_zfmisc_1,dt_k2_zfmisc_1,dt_k3_xboole_0,dt_m1_subset_1,cc1_finset_1,cc1_ordinal1,cc1_relset_1,cc2_ordinal1,cc3_ordinal1,fc1_subset_1,fc4_subset_1,rc1_ordinal1,rc1_partfun1,rc1_subset_1,rc2_ordinal1,rc2_subset_1,rc3_ordinal1,t2_boole,t2_subset,t7_boole,t8_boole,reflexivity_r1_tarski,dt_k1_xboole_0,dt_k2_wellord1,dt_c1_71__orders_1,dt_c2_71__orders_1,fc2_ordinal1,t3_subset,t6_boole,d6_wellord1,l172_orders_1,t119_orders_1,t2_xboole_1]),
    [interesting(0.8),file(orders_1,e2_71__orders_1),[file(orders_1,e2_71__orders_1)]]).

fof(e3_71__orders_1,plain,(
    ? [A] : 
      ( r2_hidden(A,c2_71__orders_1)
      & ! [B] : 
          ( r2_hidden(B,k1_xboole_0)
         => r2_hidden(k4_tarski(B,A),c1_71__orders_1) ) ) ),
    inference(mizar_by,[status(thm),assumptions([dt_c1_71__orders_1,dt_c2_71__orders_1,e1_71__orders_1])],[cc2_finset_1,fc10_finset_1,fc11_finset_1,fc14_finset_1,rc1_finset_1,rc3_finset_1,rc4_finset_1,commutativity_k2_tarski,commutativity_k3_xboole_0,idempotence_k3_xboole_0,existence_m1_subset_1,dt_k1_tarski,dt_k1_zfmisc_1,dt_k2_tarski,dt_k2_zfmisc_1,dt_k3_xboole_0,dt_m1_subset_1,cc1_finset_1,cc1_ordinal1,cc1_relset_1,cc2_ordinal1,cc3_ordinal1,fc1_finset_1,fc1_subset_1,fc2_finset_1,fc2_subset_1,fc3_subset_1,fc4_subset_1,rc1_ordinal1,rc1_partfun1,rc1_subset_1,rc2_ordinal1,rc2_subset_1,rc3_ordinal1,t2_boole,t2_subset,t4_subset,t5_subset,t8_boole,reflexivity_r1_tarski,antisymmetry_r2_hidden,dt_k1_xboole_0,dt_k2_wellord1,dt_k4_tarski,dt_c1_71__orders_1,dt_c2_71__orders_1,fc2_ordinal1,t1_subset,t3_subset,t6_boole,t7_boole,d6_wellord1,d5_tarski,e2_71__orders_1,e1_71__orders_1]),
    [interesting(0.8),file(orders_1,e3_71__orders_1),[file(orders_1,e3_71__orders_1)]]).

fof(e4_71__orders_1,plain,(
    c2_71__orders_1 != k1_xboole_0 ),
    inference(mizar_by,[status(thm),assumptions([dt_c1_71__orders_1,dt_c2_71__orders_1,e1_71__orders_1])],[rc1_finset_1,commutativity_k2_tarski,existence_m1_subset_1,dt_k1_tarski,dt_k2_tarski,dt_m1_subset_1,cc1_finset_1,cc1_ordinal1,cc2_ordinal1,cc3_ordinal1,fc1_finset_1,fc2_finset_1,fc2_subset_1,fc3_subset_1,rc1_ordinal1,rc1_partfun1,rc2_ordinal1,rc3_ordinal1,t2_subset,t8_boole,antisymmetry_r2_hidden,dt_k1_xboole_0,dt_k4_tarski,dt_c1_71__orders_1,dt_c2_71__orders_1,fc2_ordinal1,t1_subset,t6_boole,t7_boole,d5_tarski,e3_71__orders_1]),
    [interesting(0.8),file(orders_1,e4_71__orders_1),[file(orders_1,e4_71__orders_1)]]).

fof(i4_71__orders_1,theorem,(
    $true ),
    introduced(tautology,[file(orders_1,i4_71__orders_1)]),
    [interesting(0.8),trivial,file(orders_1,i4_71__orders_1)]).

fof(i3_71__orders_1,plain,(
    c2_71__orders_1 != k1_xboole_0 ),
    inference(conclusion,[status(thm),assumptions([dt_c1_71__orders_1,dt_c2_71__orders_1,e1_71__orders_1])],[e4_71__orders_1,i4_71__orders_1]),
    [interesting(0.8),file(orders_1,i3_71__orders_1),[file(orders_1,i3_71__orders_1)]]).

fof(i3_71_tmp__orders_1,plain,
    ( ! [A] : 
        ~ ( r1_tarski(A,c2_71__orders_1)
          & v3_orders_1(k2_wellord1(c1_71__orders_1,A))
          & ! [B] : 
              ~ ( r2_hidden(B,c2_71__orders_1)
                & ! [C] : 
                    ( r2_hidden(C,A)
                   => r2_hidden(k4_tarski(C,B),c1_71__orders_1) ) ) )
   => c2_71__orders_1 != k1_xboole_0 ),
    inference(discharge_asm,[status(thm),assumptions([dt_c1_71__orders_1,dt_c2_71__orders_1]),discharge_asm(discharge,[e1_71__orders_1])],[e1_71__orders_1,i3_71__orders_1]),
    [interesting(0.8),i2_71__orders_1]).

fof(i2_71__orders_1,plain,(
    ~ ( r4_orders_1(c1_71__orders_1,c2_71__orders_1)
      & c2_71__orders_1 = k1_xboole_0 ) ),
    inference(mizar_def_expansion,[status(thm),assumptions([dt_c1_71__orders_1,dt_c2_71__orders_1])],[i3_71_tmp__orders_1,d9_orders_1,rc1_finset_1,cc1_finset_1,cc1_ordinal1,cc2_ordinal1,cc3_ordinal1,rc1_ordinal1,rc1_partfun1,rc2_ordinal1,rc3_ordinal1,reflexivity_r1_tarski,antisymmetry_r2_hidden,dt_k1_xboole_0,dt_k2_wellord1,dt_k4_tarski,dt_c1_71__orders_1,dt_c2_71__orders_1,fc2_ordinal1]),
    [interesting(0.8),file(orders_1,i2_71__orders_1),[file(orders_1,i2_71__orders_1)]]).

fof(i2_71_tmp__orders_1,plain,(
    ~ ( r4_orders_1(c1_71__orders_1,c2_71__orders_1)
      & c2_71__orders_1 = k1_xboole_0 ) ),
    inference(discharge_asm,[status(thm),assumptions([dt_c1_71__orders_1]),discharge_asm(discharge,[dt_c2_71__orders_1])],[dt_c2_71__orders_1,i2_71__orders_1]),
    [interesting(0.8),i1_71__orders_1]).

fof(i1_71__orders_1,plain,(
    ! [A] : 
      ~ ( r4_orders_1(c1_71__orders_1,A)
        & A = k1_xboole_0 ) ),
    inference(let,[status(thm),assumptions([dt_c1_71__orders_1])],[i2_71_tmp__orders_1,dh_c2_71__orders_1]),
    [interesting(0.8),file(orders_1,i1_71__orders_1),[file(orders_1,i1_71__orders_1)]]).

fof(i1_71_tmp__orders_1,plain,
    ( v1_relat_1(c1_71__orders_1)
   => ! [A] : 
        ~ ( r4_orders_1(c1_71__orders_1,A)
          & A = k1_xboole_0 ) ),
    inference(discharge_asm,[status(thm),assumptions([]),discharge_asm(discharge,[dt_c1_71__orders_1])],[dt_c1_71__orders_1,i1_71__orders_1]),
    [interesting(1),t149_orders_1]).

fof(t149_orders_1,theorem,(
    ! [A] : 
      ( v1_relat_1(A)
     => ! [B] : 
          ~ ( r4_orders_1(A,B)
            & B = k1_xboole_0 ) ) ),
    inference(let,[status(thm),assumptions([])],[i1_71_tmp__orders_1,dh_c1_71__orders_1]),
    [interesting(1),file(orders_1,t149_orders_1),[file(orders_1,t149_orders_1)]]).