% Mizar ND problem: t159_orders_1,orders_1,986,65 
fof(dh_c1_78__orders_1,definition,
    ( ( v1_relat_1(c1_78__orders_1)
     => ! [A] : 
          ( ( r7_orders_1(c1_78__orders_1,A)
            & v6_relat_2(c1_78__orders_1) )
         => r9_orders_1(c1_78__orders_1,A) ) )
   => ! [B] : 
        ( v1_relat_1(B)
       => ! [C] : 
            ( ( r7_orders_1(B,C)
              & v6_relat_2(B) )
           => r9_orders_1(B,C) ) ) ),
    introduced(definition,[new_symbol(c1_78__orders_1),file(orders_1,c1_78__orders_1)]),
    [interesting(0.8),axiom,file(orders_1,c1_78__orders_1)]).

fof(dh_c2_78__orders_1,definition,
    ( ( ( r7_orders_1(c1_78__orders_1,c2_78__orders_1)
        & v6_relat_2(c1_78__orders_1) )
     => r9_orders_1(c1_78__orders_1,c2_78__orders_1) )
   => ! [A] : 
        ( ( r7_orders_1(c1_78__orders_1,A)
          & v6_relat_2(c1_78__orders_1) )
       => r9_orders_1(c1_78__orders_1,A) ) ),
    introduced(definition,[new_symbol(c2_78__orders_1),file(orders_1,c2_78__orders_1)]),
    [interesting(0.8),axiom,file(orders_1,c2_78__orders_1)]).

fof(e1_78__orders_1,assumption,(
    r7_orders_1(c1_78__orders_1,c2_78__orders_1) ),
    introduced(assumption,[file(orders_1,e1_78__orders_1)]),
    [interesting(0.8),axiom,file(orders_1,e1_78__orders_1)]).

fof(e2_78__orders_1,assumption,(
    v6_relat_2(c1_78__orders_1) ),
    introduced(assumption,[file(orders_1,e2_78__orders_1)]),
    [interesting(0.8),axiom,file(orders_1,e2_78__orders_1)]).

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_k3_relat_1,axiom,(
    $true ),
    file(relat_1,k3_relat_1),
    [interesting(0.9),axiom,file(relat_1,k3_relat_1)]).

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

fof(dt_c1_78__orders_1,assumption,(
    v1_relat_1(c1_78__orders_1) ),
    introduced(assumption,[file(orders_1,c1_78__orders_1)]),
    [interesting(0.8),axiom,file(orders_1,c1_78__orders_1)]).

fof(dt_c2_78__orders_1,assumption,(
    $true ),
    introduced(assumption,[file(orders_1,c2_78__orders_1)]),
    [interesting(0.8),axiom,file(orders_1,c2_78__orders_1)]).

fof(d14_orders_1,definition,(
    ! [A] : 
      ( v1_relat_1(A)
     => ! [B] : 
          ( r9_orders_1(A,B)
        <=> ( r2_hidden(B,k3_relat_1(A))
            & ! [C] : 
                ( r2_hidden(C,k3_relat_1(A))
               => ( C = B
                  | r2_hidden(k4_tarski(B,C),A) ) ) ) ) ) ),
    file(orders_1,d14_orders_1),
    [interesting(0.9),axiom,file(orders_1,d14_orders_1)]).

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

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(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(fc9_finset_1,theorem,(
    ! [A,B] : 
      ( ( v1_finset_1(A)
        & v1_finset_1(B) )
     => v1_finset_1(k2_xboole_0(A,B)) ) ),
    file(finset_1,fc9_finset_1),
    [interesting(0.9),axiom,file(finset_1,fc9_finset_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_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(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(t1_boole,theorem,(
    ! [A] : k2_xboole_0(A,k1_xboole_0) = A ),
    file(boole,t1_boole),
    [interesting(0.9),axiom,file(boole,t1_boole)]).

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(commutativity_k2_xboole_0,theorem,(
    ! [A,B] : k2_xboole_0(A,B) = k2_xboole_0(B,A) ),
    file(xboole_0,k2_xboole_0),
    [interesting(0.9),axiom,file(xboole_0,k2_xboole_0)]).

fof(idempotence_k2_xboole_0,theorem,(
    ! [A,B] : k2_xboole_0(A,A) = A ),
    file(xboole_0,k2_xboole_0),
    [interesting(0.9),axiom,file(xboole_0,k2_xboole_0)]).

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_relat_1,axiom,(
    $true ),
    file(relat_1,k1_relat_1),
    [interesting(0.9),axiom,file(relat_1,k1_relat_1)]).

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

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_k2_tarski,axiom,(
    $true ),
    file(tarski,k2_tarski),
    [interesting(0.9),axiom,file(tarski,k2_tarski)]).

fof(dt_k2_xboole_0,axiom,(
    $true ),
    file(xboole_0,k2_xboole_0),
    [interesting(0.9),axiom,file(xboole_0,k2_xboole_0)]).

fof(dt_m1_subset_1,axiom,(
    $true ),
    file(subset_1,m1_subset_1),
    [interesting(0.9),axiom,file(subset_1,m1_subset_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(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(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(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(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(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(d6_relat_1,definition,(
    ! [A] : 
      ( v1_relat_1(A)
     => k3_relat_1(A) = k2_xboole_0(k1_relat_1(A),k2_relat_1(A)) ) ),
    file(relat_1,d6_relat_1),
    [interesting(0.9),axiom,file(relat_1,d6_relat_1)]).

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(d12_orders_1,definition,(
    ! [A] : 
      ( v1_relat_1(A)
     => ! [B] : 
          ( r7_orders_1(A,B)
        <=> ( r2_hidden(B,k3_relat_1(A))
            & ! [C] : 
                ~ ( r2_hidden(C,k3_relat_1(A))
                  & C != B
                  & r2_hidden(k4_tarski(C,B),A) ) ) ) ) ),
    file(orders_1,d12_orders_1),
    [interesting(0.9),axiom,file(orders_1,d12_orders_1)]).

fof(e3_78__orders_1,plain,(
    r2_hidden(c2_78__orders_1,k3_relat_1(c1_78__orders_1)) ),
    inference(mizar_by,[status(thm),assumptions([dt_c1_78__orders_1,dt_c2_78__orders_1,e1_78__orders_1])],[rc1_partfun1,rc2_ordinal1,dt_k1_xboole_0,cc1_ordinal1,cc2_ordinal1,fc2_ordinal1,fc9_finset_1,rc1_finset_1,rc1_ordinal1,rc3_ordinal1,t1_boole,commutativity_k2_tarski,commutativity_k2_xboole_0,idempotence_k2_xboole_0,existence_m1_subset_1,dt_k1_relat_1,dt_k1_tarski,dt_k2_relat_1,dt_k2_tarski,dt_k2_xboole_0,dt_m1_subset_1,cc1_finset_1,cc3_ordinal1,fc1_finset_1,fc2_finset_1,fc2_subset_1,fc3_subset_1,t2_subset,t6_boole,t8_boole,antisymmetry_r2_hidden,dt_k3_relat_1,dt_k4_tarski,dt_c1_78__orders_1,dt_c2_78__orders_1,t1_subset,t7_boole,d6_relat_1,d5_tarski,e1_78__orders_1,d12_orders_1]),
    [interesting(0.8),file(orders_1,e3_78__orders_1),[file(orders_1,e3_78__orders_1)]]).

fof(dh_c3_78__orders_1,definition,
    ( ( r2_hidden(c3_78__orders_1,k3_relat_1(c1_78__orders_1))
     => ( c3_78__orders_1 = c2_78__orders_1
        | r2_hidden(k4_tarski(c2_78__orders_1,c3_78__orders_1),c1_78__orders_1) ) )
   => ! [A] : 
        ( r2_hidden(A,k3_relat_1(c1_78__orders_1))
       => ( A = c2_78__orders_1
          | r2_hidden(k4_tarski(c2_78__orders_1,A),c1_78__orders_1) ) ) ),
    introduced(definition,[new_symbol(c3_78__orders_1),file(orders_1,c3_78__orders_1)]),
    [interesting(0.8),axiom,file(orders_1,c3_78__orders_1)]).

fof(e5_78__orders_1,assumption,(
    r2_hidden(c3_78__orders_1,k3_relat_1(c1_78__orders_1)) ),
    introduced(assumption,[file(orders_1,e5_78__orders_1)]),
    [interesting(0.8),axiom,file(orders_1,e5_78__orders_1)]).

fof(e6_78__orders_1,assumption,(
    c3_78__orders_1 != c2_78__orders_1 ),
    introduced(assumption,[file(orders_1,e6_78__orders_1)]),
    [interesting(0.8),axiom,file(orders_1,e6_78__orders_1)]).

fof(dt_c3_78__orders_1,assumption,(
    $true ),
    introduced(assumption,[file(orders_1,c3_78__orders_1)]),
    [interesting(0.8),axiom,file(orders_1,c3_78__orders_1)]).

fof(d14_relat_2,definition,(
    ! [A] : 
      ( v1_relat_1(A)
     => ( v6_relat_2(A)
      <=> r6_relat_2(A,k3_relat_1(A)) ) ) ),
    file(relat_2,d14_relat_2),
    [interesting(0.9),axiom,file(relat_2,d14_relat_2)]).

fof(e4_78__orders_1,plain,(
    r6_relat_2(c1_78__orders_1,k3_relat_1(c1_78__orders_1)) ),
    inference(mizar_by,[status(thm),assumptions([dt_c1_78__orders_1,e2_78__orders_1])],[commutativity_k2_xboole_0,idempotence_k2_xboole_0,dt_k1_relat_1,dt_k2_relat_1,dt_k2_xboole_0,dt_k3_relat_1,dt_c1_78__orders_1,d6_relat_1,e2_78__orders_1,d14_relat_2]),
    [interesting(0.8),file(orders_1,e4_78__orders_1),[file(orders_1,e4_78__orders_1)]]).

fof(d6_relat_2,definition,(
    ! [A] : 
      ( v1_relat_1(A)
     => ! [B] : 
          ( r6_relat_2(A,B)
        <=> ! [C,D] : 
              ~ ( r2_hidden(C,B)
                & r2_hidden(D,B)
                & C != D
                & ~ r2_hidden(k4_tarski(C,D),A)
                & ~ r2_hidden(k4_tarski(D,C),A) ) ) ) ),
    file(relat_2,d6_relat_2),
    [interesting(0.9),axiom,file(relat_2,d6_relat_2)]).

fof(e7_78__orders_1,plain,
    ( r2_hidden(k4_tarski(c2_78__orders_1,c3_78__orders_1),c1_78__orders_1)
    | r2_hidden(k4_tarski(c3_78__orders_1,c2_78__orders_1),c1_78__orders_1) ),
    inference(mizar_by,[status(thm),assumptions([dt_c3_78__orders_1,dt_c2_78__orders_1,e1_78__orders_1,dt_c1_78__orders_1,e2_78__orders_1,e5_78__orders_1,e6_78__orders_1])],[rc1_partfun1,rc2_ordinal1,dt_k1_xboole_0,cc1_ordinal1,cc2_ordinal1,fc2_ordinal1,fc9_finset_1,rc1_finset_1,rc1_ordinal1,rc3_ordinal1,t1_boole,commutativity_k2_tarski,commutativity_k2_xboole_0,idempotence_k2_xboole_0,existence_m1_subset_1,dt_k1_relat_1,dt_k1_tarski,dt_k2_relat_1,dt_k2_tarski,dt_k2_xboole_0,dt_m1_subset_1,cc1_finset_1,cc3_ordinal1,fc1_finset_1,fc2_finset_1,fc2_subset_1,fc3_subset_1,t2_subset,t6_boole,t8_boole,antisymmetry_r2_hidden,dt_k3_relat_1,dt_k4_tarski,dt_c1_78__orders_1,dt_c2_78__orders_1,dt_c3_78__orders_1,t1_subset,t7_boole,d6_relat_1,d5_tarski,e3_78__orders_1,e4_78__orders_1,e5_78__orders_1,e6_78__orders_1,d6_relat_2]),
    [interesting(0.8),file(orders_1,e7_78__orders_1),[file(orders_1,e7_78__orders_1)]]).

fof(e8_78__orders_1,plain,(
    r2_hidden(k4_tarski(c2_78__orders_1,c3_78__orders_1),c1_78__orders_1) ),
    inference(mizar_by,[status(thm),assumptions([dt_c3_78__orders_1,dt_c2_78__orders_1,dt_c1_78__orders_1,e2_78__orders_1,e6_78__orders_1,e1_78__orders_1,e5_78__orders_1])],[rc1_partfun1,rc2_ordinal1,dt_k1_xboole_0,cc1_ordinal1,cc2_ordinal1,fc2_ordinal1,fc9_finset_1,rc1_finset_1,rc1_ordinal1,rc3_ordinal1,t1_boole,commutativity_k2_tarski,commutativity_k2_xboole_0,idempotence_k2_xboole_0,existence_m1_subset_1,dt_k1_relat_1,dt_k1_tarski,dt_k2_relat_1,dt_k2_tarski,dt_k2_xboole_0,dt_m1_subset_1,cc1_finset_1,cc3_ordinal1,fc1_finset_1,fc2_finset_1,fc2_subset_1,fc3_subset_1,t2_subset,t6_boole,t8_boole,antisymmetry_r2_hidden,dt_k3_relat_1,dt_k4_tarski,dt_c1_78__orders_1,dt_c2_78__orders_1,dt_c3_78__orders_1,t1_subset,t7_boole,d6_relat_1,d5_tarski,e7_78__orders_1,e1_78__orders_1,e5_78__orders_1,d12_orders_1]),
    [interesting(0.8),file(orders_1,e8_78__orders_1),[file(orders_1,e8_78__orders_1)]]).

fof(i7_78__orders_1,theorem,(
    $true ),
    introduced(tautology,[file(orders_1,i7_78__orders_1)]),
    [interesting(0.8),trivial,file(orders_1,i7_78__orders_1)]).

fof(i6_78__orders_1,plain,(
    r2_hidden(k4_tarski(c2_78__orders_1,c3_78__orders_1),c1_78__orders_1) ),
    inference(conclusion,[status(thm),assumptions([dt_c3_78__orders_1,dt_c2_78__orders_1,dt_c1_78__orders_1,e2_78__orders_1,e6_78__orders_1,e1_78__orders_1,e5_78__orders_1])],[e8_78__orders_1,i7_78__orders_1]),
    [interesting(0.8),file(orders_1,i6_78__orders_1),[file(orders_1,i6_78__orders_1)]]).

fof(i5_78__orders_1,plain,
    ( r2_hidden(c3_78__orders_1,k3_relat_1(c1_78__orders_1))
   => ( c3_78__orders_1 = c2_78__orders_1
      | r2_hidden(k4_tarski(c2_78__orders_1,c3_78__orders_1),c1_78__orders_1) ) ),
    inference(discharge_asm,[status(thm),assumptions([dt_c3_78__orders_1,dt_c2_78__orders_1,dt_c1_78__orders_1,e2_78__orders_1,e1_78__orders_1]),discharge_asm(discharge,[e5_78__orders_1,e6_78__orders_1])],[e5_78__orders_1,e6_78__orders_1,i6_78__orders_1]),
    [interesting(0.8),file(orders_1,i5_78__orders_1),[file(orders_1,i5_78__orders_1)]]).

fof(i5_78_tmp__orders_1,plain,
    ( r2_hidden(c3_78__orders_1,k3_relat_1(c1_78__orders_1))
   => ( c3_78__orders_1 = c2_78__orders_1
      | r2_hidden(k4_tarski(c2_78__orders_1,c3_78__orders_1),c1_78__orders_1) ) ),
    inference(discharge_asm,[status(thm),assumptions([dt_c2_78__orders_1,dt_c1_78__orders_1,e2_78__orders_1,e1_78__orders_1]),discharge_asm(discharge,[dt_c3_78__orders_1])],[dt_c3_78__orders_1,i5_78__orders_1]),
    [interesting(0.8),i4_78__orders_1]).

fof(i4_78__orders_1,plain,(
    ! [A] : 
      ( r2_hidden(A,k3_relat_1(c1_78__orders_1))
     => ( A = c2_78__orders_1
        | r2_hidden(k4_tarski(c2_78__orders_1,A),c1_78__orders_1) ) ) ),
    inference(let,[status(thm),assumptions([dt_c2_78__orders_1,dt_c1_78__orders_1,e2_78__orders_1,e1_78__orders_1])],[i5_78_tmp__orders_1,dh_c3_78__orders_1]),
    [interesting(0.8),file(orders_1,i4_78__orders_1),[file(orders_1,i4_78__orders_1)]]).

fof(i3_78__orders_1,plain,(
    r9_orders_1(c1_78__orders_1,c2_78__orders_1) ),
    inference(conclusion,[status(thm),assumptions([dt_c2_78__orders_1,dt_c1_78__orders_1,e2_78__orders_1,e1_78__orders_1])],[antisymmetry_r2_hidden,dt_k3_relat_1,dt_k4_tarski,dt_c1_78__orders_1,dt_c2_78__orders_1,d14_orders_1,e3_78__orders_1,i4_78__orders_1]),
    [interesting(0.8),file(orders_1,i3_78__orders_1),[file(orders_1,i3_78__orders_1)]]).

fof(i2_78__orders_1,plain,
    ( ( r7_orders_1(c1_78__orders_1,c2_78__orders_1)
      & v6_relat_2(c1_78__orders_1) )
   => r9_orders_1(c1_78__orders_1,c2_78__orders_1) ),
    inference(discharge_asm,[status(thm),assumptions([dt_c2_78__orders_1,dt_c1_78__orders_1]),discharge_asm(discharge,[e1_78__orders_1,e2_78__orders_1])],[e1_78__orders_1,e2_78__orders_1,i3_78__orders_1]),
    [interesting(0.8),file(orders_1,i2_78__orders_1),[file(orders_1,i2_78__orders_1)]]).

fof(i2_78_tmp__orders_1,plain,
    ( ( r7_orders_1(c1_78__orders_1,c2_78__orders_1)
      & v6_relat_2(c1_78__orders_1) )
   => r9_orders_1(c1_78__orders_1,c2_78__orders_1) ),
    inference(discharge_asm,[status(thm),assumptions([dt_c1_78__orders_1]),discharge_asm(discharge,[dt_c2_78__orders_1])],[dt_c2_78__orders_1,i2_78__orders_1]),
    [interesting(0.8),i1_78__orders_1]).

fof(i1_78__orders_1,plain,(
    ! [A] : 
      ( ( r7_orders_1(c1_78__orders_1,A)
        & v6_relat_2(c1_78__orders_1) )
     => r9_orders_1(c1_78__orders_1,A) ) ),
    inference(let,[status(thm),assumptions([dt_c1_78__orders_1])],[i2_78_tmp__orders_1,dh_c2_78__orders_1]),
    [interesting(0.8),file(orders_1,i1_78__orders_1),[file(orders_1,i1_78__orders_1)]]).

fof(i1_78_tmp__orders_1,plain,
    ( v1_relat_1(c1_78__orders_1)
   => ! [A] : 
        ( ( r7_orders_1(c1_78__orders_1,A)
          & v6_relat_2(c1_78__orders_1) )
       => r9_orders_1(c1_78__orders_1,A) ) ),
    inference(discharge_asm,[status(thm),assumptions([]),discharge_asm(discharge,[dt_c1_78__orders_1])],[dt_c1_78__orders_1,i1_78__orders_1]),
    [interesting(1),t159_orders_1]).

fof(t159_orders_1,theorem,(
    ! [A] : 
      ( v1_relat_1(A)
     => ! [B] : 
          ( ( r7_orders_1(A,B)
            & v6_relat_2(A) )
         => r9_orders_1(A,B) ) ) ),
    inference(let,[status(thm),assumptions([])],[i1_78_tmp__orders_1,dh_c1_78__orders_1]),
    [interesting(1),file(orders_1,t159_orders_1),[file(orders_1,t159_orders_1)]]).