↑ Up

Zipperpin---2.1.9999.THM-Ref.s

View TPTP
Problem
Process solution in
SystemOnTSTP
Download .tgz
%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : LAT376+1 : TPTP v9.2.0. Released v3.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.hXkOzo3is7 true

% Computer : n013.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Thu Oct  2 04:41:46 PM UTC 2025

% Result   : Theorem 26.34s 4.31s
% Output   : Refutation 26.34s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   48
%            Number of leaves      :   11
% Syntax   : Number of formulae    :  109 (  29 unt;   0 typ;   0 def)
%            Number of atoms       :  682 (   3 equ;   0 cnn)
%            Maximal formula atoms :   23 (   6 avg)
%            Number of connectives : 3010 ( 394   ~; 510   |;  45   &;2043   @)
%                                         (   0 <=>;  18  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   30 (  10 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :    0 (   0   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   31 (  29 usr;   2 con; 0-5 aty)
%            Number of variables   :   46 (   0   ^;  46   !;   0   ?;  46   :)

% Comments : 
%------------------------------------------------------------------------------
thf(k9_waybel34_type,type,
    k9_waybel34: $i > $i ).

thf(v6_functor0_type,type,
    v6_functor0: $i > $i > $i > $o ).

thf(v2_setfam_1_type,type,
    v2_setfam_1: $i > $o ).

thf(v1_xboole_0_type,type,
    v1_xboole_0: $i > $o ).

thf(v11_altcat_1_type,type,
    v11_altcat_1: $i > $o ).

thf(sk__13_type,type,
    sk__13: $i ).

thf(v12_altcat_1_type,type,
    v12_altcat_1: $i > $o ).

thf(v11_functor0_type,type,
    v11_functor0: $i > $i > $i > $o ).

thf(r3_yellow20_type,type,
    r3_yellow20: $i > $i > $i > $i > $i > $o ).

thf(v3_altcat_2_type,type,
    v3_altcat_2: $i > $i > $o ).

thf(v3_struct_0_type,type,
    v3_struct_0: $i > $o ).

thf(v12_functor0_type,type,
    v12_functor0: $i > $i > $i > $o ).

thf(k6_waybel34_type,type,
    k6_waybel34: $i > $i ).

thf(v16_functor0_type,type,
    v16_functor0: $i > $i > $i > $o ).

thf(v2_altcat_1_type,type,
    v2_altcat_1: $i > $o ).

thf(m1_altcat_2_type,type,
    m1_altcat_2: $i > $i > $o ).

thf(v8_functor0_type,type,
    v8_functor0: $i > $i > $i > $o ).

thf(v9_functor0_type,type,
    v9_functor0: $i > $i > $i > $o ).

thf(v2_yellow21_type,type,
    v2_yellow21: $i > $o ).

thf(k8_waybel34_type,type,
    k8_waybel34: $i > $i ).

thf(v14_functor0_type,type,
    v14_functor0: $i > $i > $i > $o ).

thf(v21_functor0_type,type,
    v21_functor0: $i > $i > $i > $o ).

thf(v6_altcat_1_type,type,
    v6_altcat_1: $i > $o ).

thf(k7_waybel34_type,type,
    k7_waybel34: $i > $i ).

thf(k4_waybel34_type,type,
    k4_waybel34: $i > $i ).

thf(k15_functor0_type,type,
    k15_functor0: $i > $i > $i > $i ).

thf(k5_waybel34_type,type,
    k5_waybel34: $i > $i ).

thf(m2_functor0_type,type,
    m2_functor0: $i > $i > $i > $o ).

thf(l2_altcat_1_type,type,
    l2_altcat_1: $i > $o ).

thf(cc2_setfam_1,axiom,
    ! [A: $i] :
      ( ~ ( v2_setfam_1 @ A )
     => ~ ( v1_xboole_0 @ A ) ) ).

thf(zip_derived_cl35,plain,
    ! [X0: $i] :
      ( ~ ( v1_xboole_0 @ X0 )
      | ( v2_setfam_1 @ X0 ) ),
    inference(cnf,[status(esa)],[cc2_setfam_1]) ).

thf(t57_waybel34,conjecture,
    ! [A: $i] :
      ( ~ ( v2_setfam_1 @ A )
     => ( r3_yellow20 @ ( k5_waybel34 @ A ) @ ( k4_waybel34 @ A ) @ ( k7_waybel34 @ A ) @ ( k9_waybel34 @ A ) @ ( k8_waybel34 @ A ) ) ) ).

thf(zf_stmt_0,negated_conjecture,
    ~ ! [A: $i] :
        ( ~ ( v2_setfam_1 @ A )
       => ( r3_yellow20 @ ( k5_waybel34 @ A ) @ ( k4_waybel34 @ A ) @ ( k7_waybel34 @ A ) @ ( k9_waybel34 @ A ) @ ( k8_waybel34 @ A ) ) ),
    inference('cnf.neg',[status(esa)],[t57_waybel34]) ).

thf(zip_derived_cl219,plain,
    ~ ( v2_setfam_1 @ sk__13 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl222,plain,
    ~ ( v1_xboole_0 @ sk__13 ),
    inference('sup-',[status(thm)],[zip_derived_cl35,zip_derived_cl219]) ).

thf(dt_k6_waybel34,axiom,
    ! [A: $i] :
      ( ~ ( v2_setfam_1 @ A )
     => ( ( v9_functor0 @ ( k6_waybel34 @ A ) @ ( k4_waybel34 @ A ) @ ( k5_waybel34 @ A ) )
        & ( v16_functor0 @ ( k6_waybel34 @ A ) @ ( k4_waybel34 @ A ) @ ( k5_waybel34 @ A ) )
        & ( m2_functor0 @ ( k6_waybel34 @ A ) @ ( k4_waybel34 @ A ) @ ( k5_waybel34 @ A ) ) ) ) ).

thf(zip_derived_cl116,plain,
    ! [X0: $i] :
      ( ( m2_functor0 @ ( k6_waybel34 @ X0 ) @ ( k4_waybel34 @ X0 ) @ ( k5_waybel34 @ X0 ) )
      | ( v2_setfam_1 @ X0 ) ),
    inference(cnf,[status(esa)],[dt_k6_waybel34]) ).

thf(zip_derived_cl115,plain,
    ! [X0: $i] :
      ( ( v16_functor0 @ ( k6_waybel34 @ X0 ) @ ( k4_waybel34 @ X0 ) @ ( k5_waybel34 @ X0 ) )
      | ( v2_setfam_1 @ X0 ) ),
    inference(cnf,[status(esa)],[dt_k6_waybel34]) ).

thf(fc7_waybel34,axiom,
    ! [A: $i] :
      ( ~ ( v2_setfam_1 @ A )
     => ( ( v6_functor0 @ ( k6_waybel34 @ A ) @ ( k4_waybel34 @ A ) @ ( k5_waybel34 @ A ) )
        & ( v8_functor0 @ ( k6_waybel34 @ A ) @ ( k4_waybel34 @ A ) @ ( k5_waybel34 @ A ) )
        & ( v9_functor0 @ ( k6_waybel34 @ A ) @ ( k4_waybel34 @ A ) @ ( k5_waybel34 @ A ) )
        & ( v11_functor0 @ ( k6_waybel34 @ A ) @ ( k4_waybel34 @ A ) @ ( k5_waybel34 @ A ) )
        & ( v12_functor0 @ ( k6_waybel34 @ A ) @ ( k4_waybel34 @ A ) @ ( k5_waybel34 @ A ) )
        & ( v14_functor0 @ ( k6_waybel34 @ A ) @ ( k4_waybel34 @ A ) @ ( k5_waybel34 @ A ) )
        & ( v16_functor0 @ ( k6_waybel34 @ A ) @ ( k4_waybel34 @ A ) @ ( k5_waybel34 @ A ) )
        & ( v21_functor0 @ ( k6_waybel34 @ A ) @ ( k4_waybel34 @ A ) @ ( k5_waybel34 @ A ) ) ) ) ).

thf(zip_derived_cl171,plain,
    ! [X0: $i] :
      ( ( v21_functor0 @ ( k6_waybel34 @ X0 ) @ ( k4_waybel34 @ X0 ) @ ( k5_waybel34 @ X0 ) )
      | ( v2_setfam_1 @ X0 ) ),
    inference(cnf,[status(esa)],[fc7_waybel34]) ).

thf(dt_k9_waybel34,axiom,
    ! [A: $i] :
      ( ~ ( v2_setfam_1 @ A )
     => ( ~ ( v3_struct_0 @ ( k9_waybel34 @ A ) )
        & ( v2_altcat_1 @ ( k9_waybel34 @ A ) )
        & ( v6_altcat_1 @ ( k9_waybel34 @ A ) )
        & ( v3_altcat_2 @ ( k9_waybel34 @ A ) @ ( k5_waybel34 @ A ) )
        & ( m1_altcat_2 @ ( k9_waybel34 @ A ) @ ( k5_waybel34 @ A ) ) ) ) ).

thf(zip_derived_cl129,plain,
    ! [X0: $i] :
      ( ( m1_altcat_2 @ ( k9_waybel34 @ X0 ) @ ( k5_waybel34 @ X0 ) )
      | ( v2_setfam_1 @ X0 ) ),
    inference(cnf,[status(esa)],[dt_k9_waybel34]) ).

thf(dt_k8_waybel34,axiom,
    ! [A: $i] :
      ( ~ ( v1_xboole_0 @ A )
     => ( ~ ( v3_struct_0 @ ( k8_waybel34 @ A ) )
        & ( v2_altcat_1 @ ( k8_waybel34 @ A ) )
        & ( v6_altcat_1 @ ( k8_waybel34 @ A ) )
        & ( v3_altcat_2 @ ( k8_waybel34 @ A ) @ ( k4_waybel34 @ A ) )
        & ( m1_altcat_2 @ ( k8_waybel34 @ A ) @ ( k4_waybel34 @ A ) ) ) ) ).

thf(zip_derived_cl124,plain,
    ! [X0: $i] :
      ( ( m1_altcat_2 @ ( k8_waybel34 @ X0 ) @ ( k4_waybel34 @ X0 ) )
      | ( v1_xboole_0 @ X0 ) ),
    inference(cnf,[status(esa)],[dt_k8_waybel34]) ).

thf(zip_derived_cl128,plain,
    ! [X0: $i] :
      ( ( v3_altcat_2 @ ( k9_waybel34 @ X0 ) @ ( k5_waybel34 @ X0 ) )
      | ( v2_setfam_1 @ X0 ) ),
    inference(cnf,[status(esa)],[dt_k9_waybel34]) ).

thf(zip_derived_cl123,plain,
    ! [X0: $i] :
      ( ( v3_altcat_2 @ ( k8_waybel34 @ X0 ) @ ( k4_waybel34 @ X0 ) )
      | ( v1_xboole_0 @ X0 ) ),
    inference(cnf,[status(esa)],[dt_k8_waybel34]) ).

thf(zip_derived_cl126,plain,
    ! [X0: $i] :
      ( ( v2_altcat_1 @ ( k9_waybel34 @ X0 ) )
      | ( v2_setfam_1 @ X0 ) ),
    inference(cnf,[status(esa)],[dt_k9_waybel34]) ).

thf(zip_derived_cl121,plain,
    ! [X0: $i] :
      ( ( v2_altcat_1 @ ( k8_waybel34 @ X0 ) )
      | ( v1_xboole_0 @ X0 ) ),
    inference(cnf,[status(esa)],[dt_k8_waybel34]) ).

thf(dt_k4_waybel34,axiom,
    ! [A: $i] :
      ( ~ ( v1_xboole_0 @ A )
     => ( ~ ( v3_struct_0 @ ( k4_waybel34 @ A ) )
        & ( v2_altcat_1 @ ( k4_waybel34 @ A ) )
        & ( v6_altcat_1 @ ( k4_waybel34 @ A ) )
        & ( v11_altcat_1 @ ( k4_waybel34 @ A ) )
        & ( v12_altcat_1 @ ( k4_waybel34 @ A ) )
        & ( v2_yellow21 @ ( k4_waybel34 @ A ) )
        & ( l2_altcat_1 @ ( k4_waybel34 @ A ) ) ) ) ).

thf(zip_derived_cl106,plain,
    ! [X0: $i] :
      ( ( l2_altcat_1 @ ( k4_waybel34 @ X0 ) )
      | ( v1_xboole_0 @ X0 ) ),
    inference(cnf,[status(esa)],[dt_k4_waybel34]) ).

thf(dt_k5_waybel34,axiom,
    ! [A: $i] :
      ( ~ ( v1_xboole_0 @ A )
     => ( ~ ( v3_struct_0 @ ( k5_waybel34 @ A ) )
        & ( v2_altcat_1 @ ( k5_waybel34 @ A ) )
        & ( v6_altcat_1 @ ( k5_waybel34 @ A ) )
        & ( v11_altcat_1 @ ( k5_waybel34 @ A ) )
        & ( v12_altcat_1 @ ( k5_waybel34 @ A ) )
        & ( v2_yellow21 @ ( k5_waybel34 @ A ) )
        & ( l2_altcat_1 @ ( k5_waybel34 @ A ) ) ) ) ).

thf(zip_derived_cl113,plain,
    ! [X0: $i] :
      ( ( l2_altcat_1 @ ( k5_waybel34 @ X0 ) )
      | ( v1_xboole_0 @ X0 ) ),
    inference(cnf,[status(esa)],[dt_k5_waybel34]) ).

thf(zip_derived_cl104,plain,
    ! [X0: $i] :
      ( ( v12_altcat_1 @ ( k4_waybel34 @ X0 ) )
      | ( v1_xboole_0 @ X0 ) ),
    inference(cnf,[status(esa)],[dt_k4_waybel34]) ).

thf(zip_derived_cl111,plain,
    ! [X0: $i] :
      ( ( v12_altcat_1 @ ( k5_waybel34 @ X0 ) )
      | ( v1_xboole_0 @ X0 ) ),
    inference(cnf,[status(esa)],[dt_k5_waybel34]) ).

thf(zip_derived_cl103,plain,
    ! [X0: $i] :
      ( ( v11_altcat_1 @ ( k4_waybel34 @ X0 ) )
      | ( v1_xboole_0 @ X0 ) ),
    inference(cnf,[status(esa)],[dt_k4_waybel34]) ).

thf(zip_derived_cl110,plain,
    ! [X0: $i] :
      ( ( v11_altcat_1 @ ( k5_waybel34 @ X0 ) )
      | ( v1_xboole_0 @ X0 ) ),
    inference(cnf,[status(esa)],[dt_k5_waybel34]) ).

thf(zip_derived_cl101,plain,
    ! [X0: $i] :
      ( ( v2_altcat_1 @ ( k4_waybel34 @ X0 ) )
      | ( v1_xboole_0 @ X0 ) ),
    inference(cnf,[status(esa)],[dt_k4_waybel34]) ).

thf(zip_derived_cl108,plain,
    ! [X0: $i] :
      ( ( v2_altcat_1 @ ( k5_waybel34 @ X0 ) )
      | ( v1_xboole_0 @ X0 ) ),
    inference(cnf,[status(esa)],[dt_k5_waybel34]) ).

thf(t56_waybel34,axiom,
    ! [A: $i] :
      ( ~ ( v2_setfam_1 @ A )
     => ( r3_yellow20 @ ( k4_waybel34 @ A ) @ ( k5_waybel34 @ A ) @ ( k6_waybel34 @ A ) @ ( k8_waybel34 @ A ) @ ( k9_waybel34 @ A ) ) ) ).

thf(zip_derived_cl217,plain,
    ! [X0: $i] :
      ( ( r3_yellow20 @ ( k4_waybel34 @ X0 ) @ ( k5_waybel34 @ X0 ) @ ( k6_waybel34 @ X0 ) @ ( k8_waybel34 @ X0 ) @ ( k9_waybel34 @ X0 ) )
      | ( v2_setfam_1 @ X0 ) ),
    inference(cnf,[status(esa)],[t56_waybel34]) ).

thf(t52_yellow20,axiom,
    ! [A: $i] :
      ( ( ~ ( v3_struct_0 @ A )
        & ( v2_altcat_1 @ A )
        & ( v11_altcat_1 @ A )
        & ( v12_altcat_1 @ A )
        & ( l2_altcat_1 @ A ) )
     => ! [B: $i] :
          ( ( ~ ( v3_struct_0 @ B )
            & ( v2_altcat_1 @ B )
            & ( v11_altcat_1 @ B )
            & ( v12_altcat_1 @ B )
            & ( l2_altcat_1 @ B ) )
         => ! [C: $i] :
              ( ( ( v16_functor0 @ C @ A @ B )
                & ( m2_functor0 @ C @ A @ B ) )
             => ( ( v21_functor0 @ C @ A @ B )
               => ! [D: $i] :
                    ( ( ~ ( v3_struct_0 @ D )
                      & ( v2_altcat_1 @ D )
                      & ( v3_altcat_2 @ D @ A )
                      & ( m1_altcat_2 @ D @ A ) )
                   => ! [E: $i] :
                        ( ( ~ ( v3_struct_0 @ E )
                          & ( v2_altcat_1 @ E )
                          & ( v3_altcat_2 @ E @ B )
                          & ( m1_altcat_2 @ E @ B ) )
                       => ( ( r3_yellow20 @ A @ B @ C @ D @ E )
                         => ( r3_yellow20 @ B @ A @ ( k15_functor0 @ A @ B @ C ) @ E @ D ) ) ) ) ) ) ) ) ).

thf(zip_derived_cl216,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
      ( ( v3_struct_0 @ X0 )
      | ~ ( v2_altcat_1 @ X0 )
      | ~ ( v11_altcat_1 @ X0 )
      | ~ ( v12_altcat_1 @ X0 )
      | ~ ( l2_altcat_1 @ X0 )
      | ~ ( v21_functor0 @ X1 @ X2 @ X0 )
      | ( v3_struct_0 @ X3 )
      | ~ ( v2_altcat_1 @ X3 )
      | ~ ( v3_altcat_2 @ X3 @ X2 )
      | ~ ( m1_altcat_2 @ X3 @ X2 )
      | ~ ( r3_yellow20 @ X2 @ X0 @ X1 @ X3 @ X4 )
      | ( r3_yellow20 @ X0 @ X2 @ ( k15_functor0 @ X2 @ X0 @ X1 ) @ X4 @ X3 )
      | ~ ( m1_altcat_2 @ X4 @ X0 )
      | ~ ( v3_altcat_2 @ X4 @ X0 )
      | ~ ( v2_altcat_1 @ X4 )
      | ( v3_struct_0 @ X4 )
      | ~ ( m2_functor0 @ X1 @ X2 @ X0 )
      | ~ ( v16_functor0 @ X1 @ X2 @ X0 )
      | ~ ( l2_altcat_1 @ X2 )
      | ~ ( v12_altcat_1 @ X2 )
      | ~ ( v11_altcat_1 @ X2 )
      | ~ ( v2_altcat_1 @ X2 )
      | ( v3_struct_0 @ X2 ) ),
    inference(cnf,[status(esa)],[t52_yellow20]) ).

thf(zip_derived_cl4734,plain,
    ! [X0: $i] :
      ( ( v2_setfam_1 @ X0 )
      | ( v3_struct_0 @ ( k4_waybel34 @ X0 ) )
      | ~ ( v2_altcat_1 @ ( k4_waybel34 @ X0 ) )
      | ~ ( v11_altcat_1 @ ( k4_waybel34 @ X0 ) )
      | ~ ( v12_altcat_1 @ ( k4_waybel34 @ X0 ) )
      | ~ ( l2_altcat_1 @ ( k4_waybel34 @ X0 ) )
      | ~ ( v16_functor0 @ ( k6_waybel34 @ X0 ) @ ( k4_waybel34 @ X0 ) @ ( k5_waybel34 @ X0 ) )
      | ~ ( m2_functor0 @ ( k6_waybel34 @ X0 ) @ ( k4_waybel34 @ X0 ) @ ( k5_waybel34 @ X0 ) )
      | ( v3_struct_0 @ ( k9_waybel34 @ X0 ) )
      | ~ ( v2_altcat_1 @ ( k9_waybel34 @ X0 ) )
      | ~ ( v3_altcat_2 @ ( k9_waybel34 @ X0 ) @ ( k5_waybel34 @ X0 ) )
      | ~ ( m1_altcat_2 @ ( k9_waybel34 @ X0 ) @ ( k5_waybel34 @ X0 ) )
      | ( r3_yellow20 @ ( k5_waybel34 @ X0 ) @ ( k4_waybel34 @ X0 ) @ ( k15_functor0 @ ( k4_waybel34 @ X0 ) @ ( k5_waybel34 @ X0 ) @ ( k6_waybel34 @ X0 ) ) @ ( k9_waybel34 @ X0 ) @ ( k8_waybel34 @ X0 ) )
      | ~ ( m1_altcat_2 @ ( k8_waybel34 @ X0 ) @ ( k4_waybel34 @ X0 ) )
      | ~ ( v3_altcat_2 @ ( k8_waybel34 @ X0 ) @ ( k4_waybel34 @ X0 ) )
      | ~ ( v2_altcat_1 @ ( k8_waybel34 @ X0 ) )
      | ( v3_struct_0 @ ( k8_waybel34 @ X0 ) )
      | ~ ( v21_functor0 @ ( k6_waybel34 @ X0 ) @ ( k4_waybel34 @ X0 ) @ ( k5_waybel34 @ X0 ) )
      | ~ ( l2_altcat_1 @ ( k5_waybel34 @ X0 ) )
      | ~ ( v12_altcat_1 @ ( k5_waybel34 @ X0 ) )
      | ~ ( v11_altcat_1 @ ( k5_waybel34 @ X0 ) )
      | ~ ( v2_altcat_1 @ ( k5_waybel34 @ X0 ) )
      | ( v3_struct_0 @ ( k5_waybel34 @ X0 ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl217,zip_derived_cl216]) ).

thf(t18_waybel34,axiom,
    ! [A: $i] :
      ( ~ ( v2_setfam_1 @ A )
     => ( ( ( k15_functor0 @ ( k4_waybel34 @ A ) @ ( k5_waybel34 @ A ) @ ( k6_waybel34 @ A ) )
          = ( k7_waybel34 @ A ) )
        & ( ( k15_functor0 @ ( k5_waybel34 @ A ) @ ( k4_waybel34 @ A ) @ ( k7_waybel34 @ A ) )
          = ( k6_waybel34 @ A ) ) ) ) ).

thf(zip_derived_cl214,plain,
    ! [X0: $i] :
      ( ( ( k15_functor0 @ ( k4_waybel34 @ X0 ) @ ( k5_waybel34 @ X0 ) @ ( k6_waybel34 @ X0 ) )
        = ( k7_waybel34 @ X0 ) )
      | ( v2_setfam_1 @ X0 ) ),
    inference(cnf,[status(esa)],[t18_waybel34]) ).

thf(zip_derived_cl220,plain,
    ~ ( r3_yellow20 @ ( k5_waybel34 @ sk__13 ) @ ( k4_waybel34 @ sk__13 ) @ ( k7_waybel34 @ sk__13 ) @ ( k9_waybel34 @ sk__13 ) @ ( k8_waybel34 @ sk__13 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl673,plain,
    ( ~ ( r3_yellow20 @ ( k5_waybel34 @ sk__13 ) @ ( k4_waybel34 @ sk__13 ) @ ( k15_functor0 @ ( k4_waybel34 @ sk__13 ) @ ( k5_waybel34 @ sk__13 ) @ ( k6_waybel34 @ sk__13 ) ) @ ( k9_waybel34 @ sk__13 ) @ ( k8_waybel34 @ sk__13 ) )
    | ( v2_setfam_1 @ sk__13 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl214,zip_derived_cl220]) ).

thf(zip_derived_cl219_001,plain,
    ~ ( v2_setfam_1 @ sk__13 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl677,plain,
    ~ ( r3_yellow20 @ ( k5_waybel34 @ sk__13 ) @ ( k4_waybel34 @ sk__13 ) @ ( k15_functor0 @ ( k4_waybel34 @ sk__13 ) @ ( k5_waybel34 @ sk__13 ) @ ( k6_waybel34 @ sk__13 ) ) @ ( k9_waybel34 @ sk__13 ) @ ( k8_waybel34 @ sk__13 ) ),
    inference(demod,[status(thm)],[zip_derived_cl673,zip_derived_cl219]) ).

thf(zip_derived_cl6042,plain,
    ( ( v3_struct_0 @ ( k5_waybel34 @ sk__13 ) )
    | ~ ( v2_altcat_1 @ ( k5_waybel34 @ sk__13 ) )
    | ~ ( v11_altcat_1 @ ( k5_waybel34 @ sk__13 ) )
    | ~ ( v12_altcat_1 @ ( k5_waybel34 @ sk__13 ) )
    | ~ ( l2_altcat_1 @ ( k5_waybel34 @ sk__13 ) )
    | ~ ( v21_functor0 @ ( k6_waybel34 @ sk__13 ) @ ( k4_waybel34 @ sk__13 ) @ ( k5_waybel34 @ sk__13 ) )
    | ( v3_struct_0 @ ( k8_waybel34 @ sk__13 ) )
    | ~ ( v2_altcat_1 @ ( k8_waybel34 @ sk__13 ) )
    | ~ ( v3_altcat_2 @ ( k8_waybel34 @ sk__13 ) @ ( k4_waybel34 @ sk__13 ) )
    | ~ ( m1_altcat_2 @ ( k8_waybel34 @ sk__13 ) @ ( k4_waybel34 @ sk__13 ) )
    | ~ ( m1_altcat_2 @ ( k9_waybel34 @ sk__13 ) @ ( k5_waybel34 @ sk__13 ) )
    | ~ ( v3_altcat_2 @ ( k9_waybel34 @ sk__13 ) @ ( k5_waybel34 @ sk__13 ) )
    | ~ ( v2_altcat_1 @ ( k9_waybel34 @ sk__13 ) )
    | ( v3_struct_0 @ ( k9_waybel34 @ sk__13 ) )
    | ~ ( m2_functor0 @ ( k6_waybel34 @ sk__13 ) @ ( k4_waybel34 @ sk__13 ) @ ( k5_waybel34 @ sk__13 ) )
    | ~ ( v16_functor0 @ ( k6_waybel34 @ sk__13 ) @ ( k4_waybel34 @ sk__13 ) @ ( k5_waybel34 @ sk__13 ) )
    | ~ ( l2_altcat_1 @ ( k4_waybel34 @ sk__13 ) )
    | ~ ( v12_altcat_1 @ ( k4_waybel34 @ sk__13 ) )
    | ~ ( v11_altcat_1 @ ( k4_waybel34 @ sk__13 ) )
    | ~ ( v2_altcat_1 @ ( k4_waybel34 @ sk__13 ) )
    | ( v3_struct_0 @ ( k4_waybel34 @ sk__13 ) )
    | ( v2_setfam_1 @ sk__13 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl4734,zip_derived_cl677]) ).

thf(zip_derived_cl219_002,plain,
    ~ ( v2_setfam_1 @ sk__13 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl6060,plain,
    ( ( v3_struct_0 @ ( k5_waybel34 @ sk__13 ) )
    | ~ ( v2_altcat_1 @ ( k5_waybel34 @ sk__13 ) )
    | ~ ( v11_altcat_1 @ ( k5_waybel34 @ sk__13 ) )
    | ~ ( v12_altcat_1 @ ( k5_waybel34 @ sk__13 ) )
    | ~ ( l2_altcat_1 @ ( k5_waybel34 @ sk__13 ) )
    | ~ ( v21_functor0 @ ( k6_waybel34 @ sk__13 ) @ ( k4_waybel34 @ sk__13 ) @ ( k5_waybel34 @ sk__13 ) )
    | ( v3_struct_0 @ ( k8_waybel34 @ sk__13 ) )
    | ~ ( v2_altcat_1 @ ( k8_waybel34 @ sk__13 ) )
    | ~ ( v3_altcat_2 @ ( k8_waybel34 @ sk__13 ) @ ( k4_waybel34 @ sk__13 ) )
    | ~ ( m1_altcat_2 @ ( k8_waybel34 @ sk__13 ) @ ( k4_waybel34 @ sk__13 ) )
    | ~ ( m1_altcat_2 @ ( k9_waybel34 @ sk__13 ) @ ( k5_waybel34 @ sk__13 ) )
    | ~ ( v3_altcat_2 @ ( k9_waybel34 @ sk__13 ) @ ( k5_waybel34 @ sk__13 ) )
    | ~ ( v2_altcat_1 @ ( k9_waybel34 @ sk__13 ) )
    | ( v3_struct_0 @ ( k9_waybel34 @ sk__13 ) )
    | ~ ( m2_functor0 @ ( k6_waybel34 @ sk__13 ) @ ( k4_waybel34 @ sk__13 ) @ ( k5_waybel34 @ sk__13 ) )
    | ~ ( v16_functor0 @ ( k6_waybel34 @ sk__13 ) @ ( k4_waybel34 @ sk__13 ) @ ( k5_waybel34 @ sk__13 ) )
    | ~ ( l2_altcat_1 @ ( k4_waybel34 @ sk__13 ) )
    | ~ ( v12_altcat_1 @ ( k4_waybel34 @ sk__13 ) )
    | ~ ( v11_altcat_1 @ ( k4_waybel34 @ sk__13 ) )
    | ~ ( v2_altcat_1 @ ( k4_waybel34 @ sk__13 ) )
    | ( v3_struct_0 @ ( k4_waybel34 @ sk__13 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl6042,zip_derived_cl219]) ).

thf(zip_derived_cl6061,plain,
    ( ( v1_xboole_0 @ sk__13 )
    | ( v3_struct_0 @ ( k4_waybel34 @ sk__13 ) )
    | ~ ( v2_altcat_1 @ ( k4_waybel34 @ sk__13 ) )
    | ~ ( v11_altcat_1 @ ( k4_waybel34 @ sk__13 ) )
    | ~ ( v12_altcat_1 @ ( k4_waybel34 @ sk__13 ) )
    | ~ ( l2_altcat_1 @ ( k4_waybel34 @ sk__13 ) )
    | ~ ( v16_functor0 @ ( k6_waybel34 @ sk__13 ) @ ( k4_waybel34 @ sk__13 ) @ ( k5_waybel34 @ sk__13 ) )
    | ~ ( m2_functor0 @ ( k6_waybel34 @ sk__13 ) @ ( k4_waybel34 @ sk__13 ) @ ( k5_waybel34 @ sk__13 ) )
    | ( v3_struct_0 @ ( k9_waybel34 @ sk__13 ) )
    | ~ ( v2_altcat_1 @ ( k9_waybel34 @ sk__13 ) )
    | ~ ( v3_altcat_2 @ ( k9_waybel34 @ sk__13 ) @ ( k5_waybel34 @ sk__13 ) )
    | ~ ( m1_altcat_2 @ ( k9_waybel34 @ sk__13 ) @ ( k5_waybel34 @ sk__13 ) )
    | ~ ( m1_altcat_2 @ ( k8_waybel34 @ sk__13 ) @ ( k4_waybel34 @ sk__13 ) )
    | ~ ( v3_altcat_2 @ ( k8_waybel34 @ sk__13 ) @ ( k4_waybel34 @ sk__13 ) )
    | ~ ( v2_altcat_1 @ ( k8_waybel34 @ sk__13 ) )
    | ( v3_struct_0 @ ( k8_waybel34 @ sk__13 ) )
    | ~ ( v21_functor0 @ ( k6_waybel34 @ sk__13 ) @ ( k4_waybel34 @ sk__13 ) @ ( k5_waybel34 @ sk__13 ) )
    | ~ ( l2_altcat_1 @ ( k5_waybel34 @ sk__13 ) )
    | ~ ( v12_altcat_1 @ ( k5_waybel34 @ sk__13 ) )
    | ~ ( v11_altcat_1 @ ( k5_waybel34 @ sk__13 ) )
    | ( v3_struct_0 @ ( k5_waybel34 @ sk__13 ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl108,zip_derived_cl6060]) ).

thf(zip_derived_cl222_003,plain,
    ~ ( v1_xboole_0 @ sk__13 ),
    inference('sup-',[status(thm)],[zip_derived_cl35,zip_derived_cl219]) ).

thf(zip_derived_cl6067,plain,
    ( ( v3_struct_0 @ ( k4_waybel34 @ sk__13 ) )
    | ~ ( v2_altcat_1 @ ( k4_waybel34 @ sk__13 ) )
    | ~ ( v11_altcat_1 @ ( k4_waybel34 @ sk__13 ) )
    | ~ ( v12_altcat_1 @ ( k4_waybel34 @ sk__13 ) )
    | ~ ( l2_altcat_1 @ ( k4_waybel34 @ sk__13 ) )
    | ~ ( v16_functor0 @ ( k6_waybel34 @ sk__13 ) @ ( k4_waybel34 @ sk__13 ) @ ( k5_waybel34 @ sk__13 ) )
    | ~ ( m2_functor0 @ ( k6_waybel34 @ sk__13 ) @ ( k4_waybel34 @ sk__13 ) @ ( k5_waybel34 @ sk__13 ) )
    | ( v3_struct_0 @ ( k9_waybel34 @ sk__13 ) )
    | ~ ( v2_altcat_1 @ ( k9_waybel34 @ sk__13 ) )
    | ~ ( v3_altcat_2 @ ( k9_waybel34 @ sk__13 ) @ ( k5_waybel34 @ sk__13 ) )
    | ~ ( m1_altcat_2 @ ( k9_waybel34 @ sk__13 ) @ ( k5_waybel34 @ sk__13 ) )
    | ~ ( m1_altcat_2 @ ( k8_waybel34 @ sk__13 ) @ ( k4_waybel34 @ sk__13 ) )
    | ~ ( v3_altcat_2 @ ( k8_waybel34 @ sk__13 ) @ ( k4_waybel34 @ sk__13 ) )
    | ~ ( v2_altcat_1 @ ( k8_waybel34 @ sk__13 ) )
    | ( v3_struct_0 @ ( k8_waybel34 @ sk__13 ) )
    | ~ ( v21_functor0 @ ( k6_waybel34 @ sk__13 ) @ ( k4_waybel34 @ sk__13 ) @ ( k5_waybel34 @ sk__13 ) )
    | ~ ( l2_altcat_1 @ ( k5_waybel34 @ sk__13 ) )
    | ~ ( v12_altcat_1 @ ( k5_waybel34 @ sk__13 ) )
    | ~ ( v11_altcat_1 @ ( k5_waybel34 @ sk__13 ) )
    | ( v3_struct_0 @ ( k5_waybel34 @ sk__13 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl6061,zip_derived_cl222]) ).

thf(zip_derived_cl6071,plain,
    ( ( v1_xboole_0 @ sk__13 )
    | ( v3_struct_0 @ ( k5_waybel34 @ sk__13 ) )
    | ~ ( v11_altcat_1 @ ( k5_waybel34 @ sk__13 ) )
    | ~ ( v12_altcat_1 @ ( k5_waybel34 @ sk__13 ) )
    | ~ ( l2_altcat_1 @ ( k5_waybel34 @ sk__13 ) )
    | ~ ( v21_functor0 @ ( k6_waybel34 @ sk__13 ) @ ( k4_waybel34 @ sk__13 ) @ ( k5_waybel34 @ sk__13 ) )
    | ( v3_struct_0 @ ( k8_waybel34 @ sk__13 ) )
    | ~ ( v2_altcat_1 @ ( k8_waybel34 @ sk__13 ) )
    | ~ ( v3_altcat_2 @ ( k8_waybel34 @ sk__13 ) @ ( k4_waybel34 @ sk__13 ) )
    | ~ ( m1_altcat_2 @ ( k8_waybel34 @ sk__13 ) @ ( k4_waybel34 @ sk__13 ) )
    | ~ ( m1_altcat_2 @ ( k9_waybel34 @ sk__13 ) @ ( k5_waybel34 @ sk__13 ) )
    | ~ ( v3_altcat_2 @ ( k9_waybel34 @ sk__13 ) @ ( k5_waybel34 @ sk__13 ) )
    | ~ ( v2_altcat_1 @ ( k9_waybel34 @ sk__13 ) )
    | ( v3_struct_0 @ ( k9_waybel34 @ sk__13 ) )
    | ~ ( m2_functor0 @ ( k6_waybel34 @ sk__13 ) @ ( k4_waybel34 @ sk__13 ) @ ( k5_waybel34 @ sk__13 ) )
    | ~ ( v16_functor0 @ ( k6_waybel34 @ sk__13 ) @ ( k4_waybel34 @ sk__13 ) @ ( k5_waybel34 @ sk__13 ) )
    | ~ ( l2_altcat_1 @ ( k4_waybel34 @ sk__13 ) )
    | ~ ( v12_altcat_1 @ ( k4_waybel34 @ sk__13 ) )
    | ~ ( v11_altcat_1 @ ( k4_waybel34 @ sk__13 ) )
    | ( v3_struct_0 @ ( k4_waybel34 @ sk__13 ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl101,zip_derived_cl6067]) ).

thf(zip_derived_cl222_004,plain,
    ~ ( v1_xboole_0 @ sk__13 ),
    inference('sup-',[status(thm)],[zip_derived_cl35,zip_derived_cl219]) ).

thf(zip_derived_cl6077,plain,
    ( ( v3_struct_0 @ ( k5_waybel34 @ sk__13 ) )
    | ~ ( v11_altcat_1 @ ( k5_waybel34 @ sk__13 ) )
    | ~ ( v12_altcat_1 @ ( k5_waybel34 @ sk__13 ) )
    | ~ ( l2_altcat_1 @ ( k5_waybel34 @ sk__13 ) )
    | ~ ( v21_functor0 @ ( k6_waybel34 @ sk__13 ) @ ( k4_waybel34 @ sk__13 ) @ ( k5_waybel34 @ sk__13 ) )
    | ( v3_struct_0 @ ( k8_waybel34 @ sk__13 ) )
    | ~ ( v2_altcat_1 @ ( k8_waybel34 @ sk__13 ) )
    | ~ ( v3_altcat_2 @ ( k8_waybel34 @ sk__13 ) @ ( k4_waybel34 @ sk__13 ) )
    | ~ ( m1_altcat_2 @ ( k8_waybel34 @ sk__13 ) @ ( k4_waybel34 @ sk__13 ) )
    | ~ ( m1_altcat_2 @ ( k9_waybel34 @ sk__13 ) @ ( k5_waybel34 @ sk__13 ) )
    | ~ ( v3_altcat_2 @ ( k9_waybel34 @ sk__13 ) @ ( k5_waybel34 @ sk__13 ) )
    | ~ ( v2_altcat_1 @ ( k9_waybel34 @ sk__13 ) )
    | ( v3_struct_0 @ ( k9_waybel34 @ sk__13 ) )
    | ~ ( m2_functor0 @ ( k6_waybel34 @ sk__13 ) @ ( k4_waybel34 @ sk__13 ) @ ( k5_waybel34 @ sk__13 ) )
    | ~ ( v16_functor0 @ ( k6_waybel34 @ sk__13 ) @ ( k4_waybel34 @ sk__13 ) @ ( k5_waybel34 @ sk__13 ) )
    | ~ ( l2_altcat_1 @ ( k4_waybel34 @ sk__13 ) )
    | ~ ( v12_altcat_1 @ ( k4_waybel34 @ sk__13 ) )
    | ~ ( v11_altcat_1 @ ( k4_waybel34 @ sk__13 ) )
    | ( v3_struct_0 @ ( k4_waybel34 @ sk__13 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl6071,zip_derived_cl222]) ).

thf(zip_derived_cl6081,plain,
    ( ( v1_xboole_0 @ sk__13 )
    | ( v3_struct_0 @ ( k4_waybel34 @ sk__13 ) )
    | ~ ( v11_altcat_1 @ ( k4_waybel34 @ sk__13 ) )
    | ~ ( v12_altcat_1 @ ( k4_waybel34 @ sk__13 ) )
    | ~ ( l2_altcat_1 @ ( k4_waybel34 @ sk__13 ) )
    | ~ ( v16_functor0 @ ( k6_waybel34 @ sk__13 ) @ ( k4_waybel34 @ sk__13 ) @ ( k5_waybel34 @ sk__13 ) )
    | ~ ( m2_functor0 @ ( k6_waybel34 @ sk__13 ) @ ( k4_waybel34 @ sk__13 ) @ ( k5_waybel34 @ sk__13 ) )
    | ( v3_struct_0 @ ( k9_waybel34 @ sk__13 ) )
    | ~ ( v2_altcat_1 @ ( k9_waybel34 @ sk__13 ) )
    | ~ ( v3_altcat_2 @ ( k9_waybel34 @ sk__13 ) @ ( k5_waybel34 @ sk__13 ) )
    | ~ ( m1_altcat_2 @ ( k9_waybel34 @ sk__13 ) @ ( k5_waybel34 @ sk__13 ) )
    | ~ ( m1_altcat_2 @ ( k8_waybel34 @ sk__13 ) @ ( k4_waybel34 @ sk__13 ) )
    | ~ ( v3_altcat_2 @ ( k8_waybel34 @ sk__13 ) @ ( k4_waybel34 @ sk__13 ) )
    | ~ ( v2_altcat_1 @ ( k8_waybel34 @ sk__13 ) )
    | ( v3_struct_0 @ ( k8_waybel34 @ sk__13 ) )
    | ~ ( v21_functor0 @ ( k6_waybel34 @ sk__13 ) @ ( k4_waybel34 @ sk__13 ) @ ( k5_waybel34 @ sk__13 ) )
    | ~ ( l2_altcat_1 @ ( k5_waybel34 @ sk__13 ) )
    | ~ ( v12_altcat_1 @ ( k5_waybel34 @ sk__13 ) )
    | ( v3_struct_0 @ ( k5_waybel34 @ sk__13 ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl110,zip_derived_cl6077]) ).

thf(zip_derived_cl222_005,plain,
    ~ ( v1_xboole_0 @ sk__13 ),
    inference('sup-',[status(thm)],[zip_derived_cl35,zip_derived_cl219]) ).

thf(zip_derived_cl6087,plain,
    ( ( v3_struct_0 @ ( k4_waybel34 @ sk__13 ) )
    | ~ ( v11_altcat_1 @ ( k4_waybel34 @ sk__13 ) )
    | ~ ( v12_altcat_1 @ ( k4_waybel34 @ sk__13 ) )
    | ~ ( l2_altcat_1 @ ( k4_waybel34 @ sk__13 ) )
    | ~ ( v16_functor0 @ ( k6_waybel34 @ sk__13 ) @ ( k4_waybel34 @ sk__13 ) @ ( k5_waybel34 @ sk__13 ) )
    | ~ ( m2_functor0 @ ( k6_waybel34 @ sk__13 ) @ ( k4_waybel34 @ sk__13 ) @ ( k5_waybel34 @ sk__13 ) )
    | ( v3_struct_0 @ ( k9_waybel34 @ sk__13 ) )
    | ~ ( v2_altcat_1 @ ( k9_waybel34 @ sk__13 ) )
    | ~ ( v3_altcat_2 @ ( k9_waybel34 @ sk__13 ) @ ( k5_waybel34 @ sk__13 ) )
    | ~ ( m1_altcat_2 @ ( k9_waybel34 @ sk__13 ) @ ( k5_waybel34 @ sk__13 ) )
    | ~ ( m1_altcat_2 @ ( k8_waybel34 @ sk__13 ) @ ( k4_waybel34 @ sk__13 ) )
    | ~ ( v3_altcat_2 @ ( k8_waybel34 @ sk__13 ) @ ( k4_waybel34 @ sk__13 ) )
    | ~ ( v2_altcat_1 @ ( k8_waybel34 @ sk__13 ) )
    | ( v3_struct_0 @ ( k8_waybel34 @ sk__13 ) )
    | ~ ( v21_functor0 @ ( k6_waybel34 @ sk__13 ) @ ( k4_waybel34 @ sk__13 ) @ ( k5_waybel34 @ sk__13 ) )
    | ~ ( l2_altcat_1 @ ( k5_waybel34 @ sk__13 ) )
    | ~ ( v12_altcat_1 @ ( k5_waybel34 @ sk__13 ) )
    | ( v3_struct_0 @ ( k5_waybel34 @ sk__13 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl6081,zip_derived_cl222]) ).

thf(zip_derived_cl6091,plain,
    ( ( v1_xboole_0 @ sk__13 )
    | ( v3_struct_0 @ ( k5_waybel34 @ sk__13 ) )
    | ~ ( v12_altcat_1 @ ( k5_waybel34 @ sk__13 ) )
    | ~ ( l2_altcat_1 @ ( k5_waybel34 @ sk__13 ) )
    | ~ ( v21_functor0 @ ( k6_waybel34 @ sk__13 ) @ ( k4_waybel34 @ sk__13 ) @ ( k5_waybel34 @ sk__13 ) )
    | ( v3_struct_0 @ ( k8_waybel34 @ sk__13 ) )
    | ~ ( v2_altcat_1 @ ( k8_waybel34 @ sk__13 ) )
    | ~ ( v3_altcat_2 @ ( k8_waybel34 @ sk__13 ) @ ( k4_waybel34 @ sk__13 ) )
    | ~ ( m1_altcat_2 @ ( k8_waybel34 @ sk__13 ) @ ( k4_waybel34 @ sk__13 ) )
    | ~ ( m1_altcat_2 @ ( k9_waybel34 @ sk__13 ) @ ( k5_waybel34 @ sk__13 ) )
    | ~ ( v3_altcat_2 @ ( k9_waybel34 @ sk__13 ) @ ( k5_waybel34 @ sk__13 ) )
    | ~ ( v2_altcat_1 @ ( k9_waybel34 @ sk__13 ) )
    | ( v3_struct_0 @ ( k9_waybel34 @ sk__13 ) )
    | ~ ( m2_functor0 @ ( k6_waybel34 @ sk__13 ) @ ( k4_waybel34 @ sk__13 ) @ ( k5_waybel34 @ sk__13 ) )
    | ~ ( v16_functor0 @ ( k6_waybel34 @ sk__13 ) @ ( k4_waybel34 @ sk__13 ) @ ( k5_waybel34 @ sk__13 ) )
    | ~ ( l2_altcat_1 @ ( k4_waybel34 @ sk__13 ) )
    | ~ ( v12_altcat_1 @ ( k4_waybel34 @ sk__13 ) )
    | ( v3_struct_0 @ ( k4_waybel34 @ sk__13 ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl103,zip_derived_cl6087]) ).

thf(zip_derived_cl222_006,plain,
    ~ ( v1_xboole_0 @ sk__13 ),
    inference('sup-',[status(thm)],[zip_derived_cl35,zip_derived_cl219]) ).

thf(zip_derived_cl6097,plain,
    ( ( v3_struct_0 @ ( k5_waybel34 @ sk__13 ) )
    | ~ ( v12_altcat_1 @ ( k5_waybel34 @ sk__13 ) )
    | ~ ( l2_altcat_1 @ ( k5_waybel34 @ sk__13 ) )
    | ~ ( v21_functor0 @ ( k6_waybel34 @ sk__13 ) @ ( k4_waybel34 @ sk__13 ) @ ( k5_waybel34 @ sk__13 ) )
    | ( v3_struct_0 @ ( k8_waybel34 @ sk__13 ) )
    | ~ ( v2_altcat_1 @ ( k8_waybel34 @ sk__13 ) )
    | ~ ( v3_altcat_2 @ ( k8_waybel34 @ sk__13 ) @ ( k4_waybel34 @ sk__13 ) )
    | ~ ( m1_altcat_2 @ ( k8_waybel34 @ sk__13 ) @ ( k4_waybel34 @ sk__13 ) )
    | ~ ( m1_altcat_2 @ ( k9_waybel34 @ sk__13 ) @ ( k5_waybel34 @ sk__13 ) )
    | ~ ( v3_altcat_2 @ ( k9_waybel34 @ sk__13 ) @ ( k5_waybel34 @ sk__13 ) )
    | ~ ( v2_altcat_1 @ ( k9_waybel34 @ sk__13 ) )
    | ( v3_struct_0 @ ( k9_waybel34 @ sk__13 ) )
    | ~ ( m2_functor0 @ ( k6_waybel34 @ sk__13 ) @ ( k4_waybel34 @ sk__13 ) @ ( k5_waybel34 @ sk__13 ) )
    | ~ ( v16_functor0 @ ( k6_waybel34 @ sk__13 ) @ ( k4_waybel34 @ sk__13 ) @ ( k5_waybel34 @ sk__13 ) )
    | ~ ( l2_altcat_1 @ ( k4_waybel34 @ sk__13 ) )
    | ~ ( v12_altcat_1 @ ( k4_waybel34 @ sk__13 ) )
    | ( v3_struct_0 @ ( k4_waybel34 @ sk__13 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl6091,zip_derived_cl222]) ).

thf(zip_derived_cl6101,plain,
    ( ( v1_xboole_0 @ sk__13 )
    | ( v3_struct_0 @ ( k4_waybel34 @ sk__13 ) )
    | ~ ( v12_altcat_1 @ ( k4_waybel34 @ sk__13 ) )
    | ~ ( l2_altcat_1 @ ( k4_waybel34 @ sk__13 ) )
    | ~ ( v16_functor0 @ ( k6_waybel34 @ sk__13 ) @ ( k4_waybel34 @ sk__13 ) @ ( k5_waybel34 @ sk__13 ) )
    | ~ ( m2_functor0 @ ( k6_waybel34 @ sk__13 ) @ ( k4_waybel34 @ sk__13 ) @ ( k5_waybel34 @ sk__13 ) )
    | ( v3_struct_0 @ ( k9_waybel34 @ sk__13 ) )
    | ~ ( v2_altcat_1 @ ( k9_waybel34 @ sk__13 ) )
    | ~ ( v3_altcat_2 @ ( k9_waybel34 @ sk__13 ) @ ( k5_waybel34 @ sk__13 ) )
    | ~ ( m1_altcat_2 @ ( k9_waybel34 @ sk__13 ) @ ( k5_waybel34 @ sk__13 ) )
    | ~ ( m1_altcat_2 @ ( k8_waybel34 @ sk__13 ) @ ( k4_waybel34 @ sk__13 ) )
    | ~ ( v3_altcat_2 @ ( k8_waybel34 @ sk__13 ) @ ( k4_waybel34 @ sk__13 ) )
    | ~ ( v2_altcat_1 @ ( k8_waybel34 @ sk__13 ) )
    | ( v3_struct_0 @ ( k8_waybel34 @ sk__13 ) )
    | ~ ( v21_functor0 @ ( k6_waybel34 @ sk__13 ) @ ( k4_waybel34 @ sk__13 ) @ ( k5_waybel34 @ sk__13 ) )
    | ~ ( l2_altcat_1 @ ( k5_waybel34 @ sk__13 ) )
    | ( v3_struct_0 @ ( k5_waybel34 @ sk__13 ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl111,zip_derived_cl6097]) ).

thf(zip_derived_cl222_007,plain,
    ~ ( v1_xboole_0 @ sk__13 ),
    inference('sup-',[status(thm)],[zip_derived_cl35,zip_derived_cl219]) ).

thf(zip_derived_cl6107,plain,
    ( ( v3_struct_0 @ ( k4_waybel34 @ sk__13 ) )
    | ~ ( v12_altcat_1 @ ( k4_waybel34 @ sk__13 ) )
    | ~ ( l2_altcat_1 @ ( k4_waybel34 @ sk__13 ) )
    | ~ ( v16_functor0 @ ( k6_waybel34 @ sk__13 ) @ ( k4_waybel34 @ sk__13 ) @ ( k5_waybel34 @ sk__13 ) )
    | ~ ( m2_functor0 @ ( k6_waybel34 @ sk__13 ) @ ( k4_waybel34 @ sk__13 ) @ ( k5_waybel34 @ sk__13 ) )
    | ( v3_struct_0 @ ( k9_waybel34 @ sk__13 ) )
    | ~ ( v2_altcat_1 @ ( k9_waybel34 @ sk__13 ) )
    | ~ ( v3_altcat_2 @ ( k9_waybel34 @ sk__13 ) @ ( k5_waybel34 @ sk__13 ) )
    | ~ ( m1_altcat_2 @ ( k9_waybel34 @ sk__13 ) @ ( k5_waybel34 @ sk__13 ) )
    | ~ ( m1_altcat_2 @ ( k8_waybel34 @ sk__13 ) @ ( k4_waybel34 @ sk__13 ) )
    | ~ ( v3_altcat_2 @ ( k8_waybel34 @ sk__13 ) @ ( k4_waybel34 @ sk__13 ) )
    | ~ ( v2_altcat_1 @ ( k8_waybel34 @ sk__13 ) )
    | ( v3_struct_0 @ ( k8_waybel34 @ sk__13 ) )
    | ~ ( v21_functor0 @ ( k6_waybel34 @ sk__13 ) @ ( k4_waybel34 @ sk__13 ) @ ( k5_waybel34 @ sk__13 ) )
    | ~ ( l2_altcat_1 @ ( k5_waybel34 @ sk__13 ) )
    | ( v3_struct_0 @ ( k5_waybel34 @ sk__13 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl6101,zip_derived_cl222]) ).

thf(zip_derived_cl6111,plain,
    ( ( v1_xboole_0 @ sk__13 )
    | ( v3_struct_0 @ ( k5_waybel34 @ sk__13 ) )
    | ~ ( l2_altcat_1 @ ( k5_waybel34 @ sk__13 ) )
    | ~ ( v21_functor0 @ ( k6_waybel34 @ sk__13 ) @ ( k4_waybel34 @ sk__13 ) @ ( k5_waybel34 @ sk__13 ) )
    | ( v3_struct_0 @ ( k8_waybel34 @ sk__13 ) )
    | ~ ( v2_altcat_1 @ ( k8_waybel34 @ sk__13 ) )
    | ~ ( v3_altcat_2 @ ( k8_waybel34 @ sk__13 ) @ ( k4_waybel34 @ sk__13 ) )
    | ~ ( m1_altcat_2 @ ( k8_waybel34 @ sk__13 ) @ ( k4_waybel34 @ sk__13 ) )
    | ~ ( m1_altcat_2 @ ( k9_waybel34 @ sk__13 ) @ ( k5_waybel34 @ sk__13 ) )
    | ~ ( v3_altcat_2 @ ( k9_waybel34 @ sk__13 ) @ ( k5_waybel34 @ sk__13 ) )
    | ~ ( v2_altcat_1 @ ( k9_waybel34 @ sk__13 ) )
    | ( v3_struct_0 @ ( k9_waybel34 @ sk__13 ) )
    | ~ ( m2_functor0 @ ( k6_waybel34 @ sk__13 ) @ ( k4_waybel34 @ sk__13 ) @ ( k5_waybel34 @ sk__13 ) )
    | ~ ( v16_functor0 @ ( k6_waybel34 @ sk__13 ) @ ( k4_waybel34 @ sk__13 ) @ ( k5_waybel34 @ sk__13 ) )
    | ~ ( l2_altcat_1 @ ( k4_waybel34 @ sk__13 ) )
    | ( v3_struct_0 @ ( k4_waybel34 @ sk__13 ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl104,zip_derived_cl6107]) ).

thf(zip_derived_cl222_008,plain,
    ~ ( v1_xboole_0 @ sk__13 ),
    inference('sup-',[status(thm)],[zip_derived_cl35,zip_derived_cl219]) ).

thf(zip_derived_cl6117,plain,
    ( ( v3_struct_0 @ ( k5_waybel34 @ sk__13 ) )
    | ~ ( l2_altcat_1 @ ( k5_waybel34 @ sk__13 ) )
    | ~ ( v21_functor0 @ ( k6_waybel34 @ sk__13 ) @ ( k4_waybel34 @ sk__13 ) @ ( k5_waybel34 @ sk__13 ) )
    | ( v3_struct_0 @ ( k8_waybel34 @ sk__13 ) )
    | ~ ( v2_altcat_1 @ ( k8_waybel34 @ sk__13 ) )
    | ~ ( v3_altcat_2 @ ( k8_waybel34 @ sk__13 ) @ ( k4_waybel34 @ sk__13 ) )
    | ~ ( m1_altcat_2 @ ( k8_waybel34 @ sk__13 ) @ ( k4_waybel34 @ sk__13 ) )
    | ~ ( m1_altcat_2 @ ( k9_waybel34 @ sk__13 ) @ ( k5_waybel34 @ sk__13 ) )
    | ~ ( v3_altcat_2 @ ( k9_waybel34 @ sk__13 ) @ ( k5_waybel34 @ sk__13 ) )
    | ~ ( v2_altcat_1 @ ( k9_waybel34 @ sk__13 ) )
    | ( v3_struct_0 @ ( k9_waybel34 @ sk__13 ) )
    | ~ ( m2_functor0 @ ( k6_waybel34 @ sk__13 ) @ ( k4_waybel34 @ sk__13 ) @ ( k5_waybel34 @ sk__13 ) )
    | ~ ( v16_functor0 @ ( k6_waybel34 @ sk__13 ) @ ( k4_waybel34 @ sk__13 ) @ ( k5_waybel34 @ sk__13 ) )
    | ~ ( l2_altcat_1 @ ( k4_waybel34 @ sk__13 ) )
    | ( v3_struct_0 @ ( k4_waybel34 @ sk__13 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl6111,zip_derived_cl222]) ).

thf(zip_derived_cl6121,plain,
    ( ( v1_xboole_0 @ sk__13 )
    | ( v3_struct_0 @ ( k4_waybel34 @ sk__13 ) )
    | ~ ( l2_altcat_1 @ ( k4_waybel34 @ sk__13 ) )
    | ~ ( v16_functor0 @ ( k6_waybel34 @ sk__13 ) @ ( k4_waybel34 @ sk__13 ) @ ( k5_waybel34 @ sk__13 ) )
    | ~ ( m2_functor0 @ ( k6_waybel34 @ sk__13 ) @ ( k4_waybel34 @ sk__13 ) @ ( k5_waybel34 @ sk__13 ) )
    | ( v3_struct_0 @ ( k9_waybel34 @ sk__13 ) )
    | ~ ( v2_altcat_1 @ ( k9_waybel34 @ sk__13 ) )
    | ~ ( v3_altcat_2 @ ( k9_waybel34 @ sk__13 ) @ ( k5_waybel34 @ sk__13 ) )
    | ~ ( m1_altcat_2 @ ( k9_waybel34 @ sk__13 ) @ ( k5_waybel34 @ sk__13 ) )
    | ~ ( m1_altcat_2 @ ( k8_waybel34 @ sk__13 ) @ ( k4_waybel34 @ sk__13 ) )
    | ~ ( v3_altcat_2 @ ( k8_waybel34 @ sk__13 ) @ ( k4_waybel34 @ sk__13 ) )
    | ~ ( v2_altcat_1 @ ( k8_waybel34 @ sk__13 ) )
    | ( v3_struct_0 @ ( k8_waybel34 @ sk__13 ) )
    | ~ ( v21_functor0 @ ( k6_waybel34 @ sk__13 ) @ ( k4_waybel34 @ sk__13 ) @ ( k5_waybel34 @ sk__13 ) )
    | ( v3_struct_0 @ ( k5_waybel34 @ sk__13 ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl113,zip_derived_cl6117]) ).

thf(zip_derived_cl222_009,plain,
    ~ ( v1_xboole_0 @ sk__13 ),
    inference('sup-',[status(thm)],[zip_derived_cl35,zip_derived_cl219]) ).

thf(zip_derived_cl6126,plain,
    ( ( v3_struct_0 @ ( k4_waybel34 @ sk__13 ) )
    | ~ ( l2_altcat_1 @ ( k4_waybel34 @ sk__13 ) )
    | ~ ( v16_functor0 @ ( k6_waybel34 @ sk__13 ) @ ( k4_waybel34 @ sk__13 ) @ ( k5_waybel34 @ sk__13 ) )
    | ~ ( m2_functor0 @ ( k6_waybel34 @ sk__13 ) @ ( k4_waybel34 @ sk__13 ) @ ( k5_waybel34 @ sk__13 ) )
    | ( v3_struct_0 @ ( k9_waybel34 @ sk__13 ) )
    | ~ ( v2_altcat_1 @ ( k9_waybel34 @ sk__13 ) )
    | ~ ( v3_altcat_2 @ ( k9_waybel34 @ sk__13 ) @ ( k5_waybel34 @ sk__13 ) )
    | ~ ( m1_altcat_2 @ ( k9_waybel34 @ sk__13 ) @ ( k5_waybel34 @ sk__13 ) )
    | ~ ( m1_altcat_2 @ ( k8_waybel34 @ sk__13 ) @ ( k4_waybel34 @ sk__13 ) )
    | ~ ( v3_altcat_2 @ ( k8_waybel34 @ sk__13 ) @ ( k4_waybel34 @ sk__13 ) )
    | ~ ( v2_altcat_1 @ ( k8_waybel34 @ sk__13 ) )
    | ( v3_struct_0 @ ( k8_waybel34 @ sk__13 ) )
    | ~ ( v21_functor0 @ ( k6_waybel34 @ sk__13 ) @ ( k4_waybel34 @ sk__13 ) @ ( k5_waybel34 @ sk__13 ) )
    | ( v3_struct_0 @ ( k5_waybel34 @ sk__13 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl6121,zip_derived_cl222]) ).

thf(zip_derived_cl6129,plain,
    ( ( v1_xboole_0 @ sk__13 )
    | ( v3_struct_0 @ ( k5_waybel34 @ sk__13 ) )
    | ~ ( v21_functor0 @ ( k6_waybel34 @ sk__13 ) @ ( k4_waybel34 @ sk__13 ) @ ( k5_waybel34 @ sk__13 ) )
    | ( v3_struct_0 @ ( k8_waybel34 @ sk__13 ) )
    | ~ ( v2_altcat_1 @ ( k8_waybel34 @ sk__13 ) )
    | ~ ( v3_altcat_2 @ ( k8_waybel34 @ sk__13 ) @ ( k4_waybel34 @ sk__13 ) )
    | ~ ( m1_altcat_2 @ ( k8_waybel34 @ sk__13 ) @ ( k4_waybel34 @ sk__13 ) )
    | ~ ( m1_altcat_2 @ ( k9_waybel34 @ sk__13 ) @ ( k5_waybel34 @ sk__13 ) )
    | ~ ( v3_altcat_2 @ ( k9_waybel34 @ sk__13 ) @ ( k5_waybel34 @ sk__13 ) )
    | ~ ( v2_altcat_1 @ ( k9_waybel34 @ sk__13 ) )
    | ( v3_struct_0 @ ( k9_waybel34 @ sk__13 ) )
    | ~ ( m2_functor0 @ ( k6_waybel34 @ sk__13 ) @ ( k4_waybel34 @ sk__13 ) @ ( k5_waybel34 @ sk__13 ) )
    | ~ ( v16_functor0 @ ( k6_waybel34 @ sk__13 ) @ ( k4_waybel34 @ sk__13 ) @ ( k5_waybel34 @ sk__13 ) )
    | ( v3_struct_0 @ ( k4_waybel34 @ sk__13 ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl106,zip_derived_cl6126]) ).

thf(zip_derived_cl222_010,plain,
    ~ ( v1_xboole_0 @ sk__13 ),
    inference('sup-',[status(thm)],[zip_derived_cl35,zip_derived_cl219]) ).

thf(zip_derived_cl6134,plain,
    ( ( v3_struct_0 @ ( k5_waybel34 @ sk__13 ) )
    | ~ ( v21_functor0 @ ( k6_waybel34 @ sk__13 ) @ ( k4_waybel34 @ sk__13 ) @ ( k5_waybel34 @ sk__13 ) )
    | ( v3_struct_0 @ ( k8_waybel34 @ sk__13 ) )
    | ~ ( v2_altcat_1 @ ( k8_waybel34 @ sk__13 ) )
    | ~ ( v3_altcat_2 @ ( k8_waybel34 @ sk__13 ) @ ( k4_waybel34 @ sk__13 ) )
    | ~ ( m1_altcat_2 @ ( k8_waybel34 @ sk__13 ) @ ( k4_waybel34 @ sk__13 ) )
    | ~ ( m1_altcat_2 @ ( k9_waybel34 @ sk__13 ) @ ( k5_waybel34 @ sk__13 ) )
    | ~ ( v3_altcat_2 @ ( k9_waybel34 @ sk__13 ) @ ( k5_waybel34 @ sk__13 ) )
    | ~ ( v2_altcat_1 @ ( k9_waybel34 @ sk__13 ) )
    | ( v3_struct_0 @ ( k9_waybel34 @ sk__13 ) )
    | ~ ( m2_functor0 @ ( k6_waybel34 @ sk__13 ) @ ( k4_waybel34 @ sk__13 ) @ ( k5_waybel34 @ sk__13 ) )
    | ~ ( v16_functor0 @ ( k6_waybel34 @ sk__13 ) @ ( k4_waybel34 @ sk__13 ) @ ( k5_waybel34 @ sk__13 ) )
    | ( v3_struct_0 @ ( k4_waybel34 @ sk__13 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl6129,zip_derived_cl222]) ).

thf(zip_derived_cl6137,plain,
    ( ( v1_xboole_0 @ sk__13 )
    | ( v3_struct_0 @ ( k4_waybel34 @ sk__13 ) )
    | ~ ( v16_functor0 @ ( k6_waybel34 @ sk__13 ) @ ( k4_waybel34 @ sk__13 ) @ ( k5_waybel34 @ sk__13 ) )
    | ~ ( m2_functor0 @ ( k6_waybel34 @ sk__13 ) @ ( k4_waybel34 @ sk__13 ) @ ( k5_waybel34 @ sk__13 ) )
    | ( v3_struct_0 @ ( k9_waybel34 @ sk__13 ) )
    | ~ ( v2_altcat_1 @ ( k9_waybel34 @ sk__13 ) )
    | ~ ( v3_altcat_2 @ ( k9_waybel34 @ sk__13 ) @ ( k5_waybel34 @ sk__13 ) )
    | ~ ( m1_altcat_2 @ ( k9_waybel34 @ sk__13 ) @ ( k5_waybel34 @ sk__13 ) )
    | ~ ( m1_altcat_2 @ ( k8_waybel34 @ sk__13 ) @ ( k4_waybel34 @ sk__13 ) )
    | ~ ( v3_altcat_2 @ ( k8_waybel34 @ sk__13 ) @ ( k4_waybel34 @ sk__13 ) )
    | ( v3_struct_0 @ ( k8_waybel34 @ sk__13 ) )
    | ~ ( v21_functor0 @ ( k6_waybel34 @ sk__13 ) @ ( k4_waybel34 @ sk__13 ) @ ( k5_waybel34 @ sk__13 ) )
    | ( v3_struct_0 @ ( k5_waybel34 @ sk__13 ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl121,zip_derived_cl6134]) ).

thf(zip_derived_cl222_011,plain,
    ~ ( v1_xboole_0 @ sk__13 ),
    inference('sup-',[status(thm)],[zip_derived_cl35,zip_derived_cl219]) ).

thf(zip_derived_cl6142,plain,
    ( ( v3_struct_0 @ ( k4_waybel34 @ sk__13 ) )
    | ~ ( v16_functor0 @ ( k6_waybel34 @ sk__13 ) @ ( k4_waybel34 @ sk__13 ) @ ( k5_waybel34 @ sk__13 ) )
    | ~ ( m2_functor0 @ ( k6_waybel34 @ sk__13 ) @ ( k4_waybel34 @ sk__13 ) @ ( k5_waybel34 @ sk__13 ) )
    | ( v3_struct_0 @ ( k9_waybel34 @ sk__13 ) )
    | ~ ( v2_altcat_1 @ ( k9_waybel34 @ sk__13 ) )
    | ~ ( v3_altcat_2 @ ( k9_waybel34 @ sk__13 ) @ ( k5_waybel34 @ sk__13 ) )
    | ~ ( m1_altcat_2 @ ( k9_waybel34 @ sk__13 ) @ ( k5_waybel34 @ sk__13 ) )
    | ~ ( m1_altcat_2 @ ( k8_waybel34 @ sk__13 ) @ ( k4_waybel34 @ sk__13 ) )
    | ~ ( v3_altcat_2 @ ( k8_waybel34 @ sk__13 ) @ ( k4_waybel34 @ sk__13 ) )
    | ( v3_struct_0 @ ( k8_waybel34 @ sk__13 ) )
    | ~ ( v21_functor0 @ ( k6_waybel34 @ sk__13 ) @ ( k4_waybel34 @ sk__13 ) @ ( k5_waybel34 @ sk__13 ) )
    | ( v3_struct_0 @ ( k5_waybel34 @ sk__13 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl6137,zip_derived_cl222]) ).

thf(zip_derived_cl6145,plain,
    ( ( v2_setfam_1 @ sk__13 )
    | ( v3_struct_0 @ ( k5_waybel34 @ sk__13 ) )
    | ~ ( v21_functor0 @ ( k6_waybel34 @ sk__13 ) @ ( k4_waybel34 @ sk__13 ) @ ( k5_waybel34 @ sk__13 ) )
    | ( v3_struct_0 @ ( k8_waybel34 @ sk__13 ) )
    | ~ ( v3_altcat_2 @ ( k8_waybel34 @ sk__13 ) @ ( k4_waybel34 @ sk__13 ) )
    | ~ ( m1_altcat_2 @ ( k8_waybel34 @ sk__13 ) @ ( k4_waybel34 @ sk__13 ) )
    | ~ ( m1_altcat_2 @ ( k9_waybel34 @ sk__13 ) @ ( k5_waybel34 @ sk__13 ) )
    | ~ ( v3_altcat_2 @ ( k9_waybel34 @ sk__13 ) @ ( k5_waybel34 @ sk__13 ) )
    | ( v3_struct_0 @ ( k9_waybel34 @ sk__13 ) )
    | ~ ( m2_functor0 @ ( k6_waybel34 @ sk__13 ) @ ( k4_waybel34 @ sk__13 ) @ ( k5_waybel34 @ sk__13 ) )
    | ~ ( v16_functor0 @ ( k6_waybel34 @ sk__13 ) @ ( k4_waybel34 @ sk__13 ) @ ( k5_waybel34 @ sk__13 ) )
    | ( v3_struct_0 @ ( k4_waybel34 @ sk__13 ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl126,zip_derived_cl6142]) ).

thf(zip_derived_cl219_012,plain,
    ~ ( v2_setfam_1 @ sk__13 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl6150,plain,
    ( ( v3_struct_0 @ ( k5_waybel34 @ sk__13 ) )
    | ~ ( v21_functor0 @ ( k6_waybel34 @ sk__13 ) @ ( k4_waybel34 @ sk__13 ) @ ( k5_waybel34 @ sk__13 ) )
    | ( v3_struct_0 @ ( k8_waybel34 @ sk__13 ) )
    | ~ ( v3_altcat_2 @ ( k8_waybel34 @ sk__13 ) @ ( k4_waybel34 @ sk__13 ) )
    | ~ ( m1_altcat_2 @ ( k8_waybel34 @ sk__13 ) @ ( k4_waybel34 @ sk__13 ) )
    | ~ ( m1_altcat_2 @ ( k9_waybel34 @ sk__13 ) @ ( k5_waybel34 @ sk__13 ) )
    | ~ ( v3_altcat_2 @ ( k9_waybel34 @ sk__13 ) @ ( k5_waybel34 @ sk__13 ) )
    | ( v3_struct_0 @ ( k9_waybel34 @ sk__13 ) )
    | ~ ( m2_functor0 @ ( k6_waybel34 @ sk__13 ) @ ( k4_waybel34 @ sk__13 ) @ ( k5_waybel34 @ sk__13 ) )
    | ~ ( v16_functor0 @ ( k6_waybel34 @ sk__13 ) @ ( k4_waybel34 @ sk__13 ) @ ( k5_waybel34 @ sk__13 ) )
    | ( v3_struct_0 @ ( k4_waybel34 @ sk__13 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl6145,zip_derived_cl219]) ).

thf(zip_derived_cl6153,plain,
    ( ( v1_xboole_0 @ sk__13 )
    | ( v3_struct_0 @ ( k4_waybel34 @ sk__13 ) )
    | ~ ( v16_functor0 @ ( k6_waybel34 @ sk__13 ) @ ( k4_waybel34 @ sk__13 ) @ ( k5_waybel34 @ sk__13 ) )
    | ~ ( m2_functor0 @ ( k6_waybel34 @ sk__13 ) @ ( k4_waybel34 @ sk__13 ) @ ( k5_waybel34 @ sk__13 ) )
    | ( v3_struct_0 @ ( k9_waybel34 @ sk__13 ) )
    | ~ ( v3_altcat_2 @ ( k9_waybel34 @ sk__13 ) @ ( k5_waybel34 @ sk__13 ) )
    | ~ ( m1_altcat_2 @ ( k9_waybel34 @ sk__13 ) @ ( k5_waybel34 @ sk__13 ) )
    | ~ ( m1_altcat_2 @ ( k8_waybel34 @ sk__13 ) @ ( k4_waybel34 @ sk__13 ) )
    | ( v3_struct_0 @ ( k8_waybel34 @ sk__13 ) )
    | ~ ( v21_functor0 @ ( k6_waybel34 @ sk__13 ) @ ( k4_waybel34 @ sk__13 ) @ ( k5_waybel34 @ sk__13 ) )
    | ( v3_struct_0 @ ( k5_waybel34 @ sk__13 ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl123,zip_derived_cl6150]) ).

thf(zip_derived_cl222_013,plain,
    ~ ( v1_xboole_0 @ sk__13 ),
    inference('sup-',[status(thm)],[zip_derived_cl35,zip_derived_cl219]) ).

thf(zip_derived_cl6162,plain,
    ( ( v3_struct_0 @ ( k4_waybel34 @ sk__13 ) )
    | ~ ( v16_functor0 @ ( k6_waybel34 @ sk__13 ) @ ( k4_waybel34 @ sk__13 ) @ ( k5_waybel34 @ sk__13 ) )
    | ~ ( m2_functor0 @ ( k6_waybel34 @ sk__13 ) @ ( k4_waybel34 @ sk__13 ) @ ( k5_waybel34 @ sk__13 ) )
    | ( v3_struct_0 @ ( k9_waybel34 @ sk__13 ) )
    | ~ ( v3_altcat_2 @ ( k9_waybel34 @ sk__13 ) @ ( k5_waybel34 @ sk__13 ) )
    | ~ ( m1_altcat_2 @ ( k9_waybel34 @ sk__13 ) @ ( k5_waybel34 @ sk__13 ) )
    | ~ ( m1_altcat_2 @ ( k8_waybel34 @ sk__13 ) @ ( k4_waybel34 @ sk__13 ) )
    | ( v3_struct_0 @ ( k8_waybel34 @ sk__13 ) )
    | ~ ( v21_functor0 @ ( k6_waybel34 @ sk__13 ) @ ( k4_waybel34 @ sk__13 ) @ ( k5_waybel34 @ sk__13 ) )
    | ( v3_struct_0 @ ( k5_waybel34 @ sk__13 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl6153,zip_derived_cl222]) ).

thf(zip_derived_cl6167,plain,
    ( ( v2_setfam_1 @ sk__13 )
    | ( v3_struct_0 @ ( k5_waybel34 @ sk__13 ) )
    | ~ ( v21_functor0 @ ( k6_waybel34 @ sk__13 ) @ ( k4_waybel34 @ sk__13 ) @ ( k5_waybel34 @ sk__13 ) )
    | ( v3_struct_0 @ ( k8_waybel34 @ sk__13 ) )
    | ~ ( m1_altcat_2 @ ( k8_waybel34 @ sk__13 ) @ ( k4_waybel34 @ sk__13 ) )
    | ~ ( m1_altcat_2 @ ( k9_waybel34 @ sk__13 ) @ ( k5_waybel34 @ sk__13 ) )
    | ( v3_struct_0 @ ( k9_waybel34 @ sk__13 ) )
    | ~ ( m2_functor0 @ ( k6_waybel34 @ sk__13 ) @ ( k4_waybel34 @ sk__13 ) @ ( k5_waybel34 @ sk__13 ) )
    | ~ ( v16_functor0 @ ( k6_waybel34 @ sk__13 ) @ ( k4_waybel34 @ sk__13 ) @ ( k5_waybel34 @ sk__13 ) )
    | ( v3_struct_0 @ ( k4_waybel34 @ sk__13 ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl128,zip_derived_cl6162]) ).

thf(zip_derived_cl219_014,plain,
    ~ ( v2_setfam_1 @ sk__13 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl6176,plain,
    ( ( v3_struct_0 @ ( k5_waybel34 @ sk__13 ) )
    | ~ ( v21_functor0 @ ( k6_waybel34 @ sk__13 ) @ ( k4_waybel34 @ sk__13 ) @ ( k5_waybel34 @ sk__13 ) )
    | ( v3_struct_0 @ ( k8_waybel34 @ sk__13 ) )
    | ~ ( m1_altcat_2 @ ( k8_waybel34 @ sk__13 ) @ ( k4_waybel34 @ sk__13 ) )
    | ~ ( m1_altcat_2 @ ( k9_waybel34 @ sk__13 ) @ ( k5_waybel34 @ sk__13 ) )
    | ( v3_struct_0 @ ( k9_waybel34 @ sk__13 ) )
    | ~ ( m2_functor0 @ ( k6_waybel34 @ sk__13 ) @ ( k4_waybel34 @ sk__13 ) @ ( k5_waybel34 @ sk__13 ) )
    | ~ ( v16_functor0 @ ( k6_waybel34 @ sk__13 ) @ ( k4_waybel34 @ sk__13 ) @ ( k5_waybel34 @ sk__13 ) )
    | ( v3_struct_0 @ ( k4_waybel34 @ sk__13 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl6167,zip_derived_cl219]) ).

thf(zip_derived_cl6181,plain,
    ( ( v1_xboole_0 @ sk__13 )
    | ( v3_struct_0 @ ( k4_waybel34 @ sk__13 ) )
    | ~ ( v16_functor0 @ ( k6_waybel34 @ sk__13 ) @ ( k4_waybel34 @ sk__13 ) @ ( k5_waybel34 @ sk__13 ) )
    | ~ ( m2_functor0 @ ( k6_waybel34 @ sk__13 ) @ ( k4_waybel34 @ sk__13 ) @ ( k5_waybel34 @ sk__13 ) )
    | ( v3_struct_0 @ ( k9_waybel34 @ sk__13 ) )
    | ~ ( m1_altcat_2 @ ( k9_waybel34 @ sk__13 ) @ ( k5_waybel34 @ sk__13 ) )
    | ( v3_struct_0 @ ( k8_waybel34 @ sk__13 ) )
    | ~ ( v21_functor0 @ ( k6_waybel34 @ sk__13 ) @ ( k4_waybel34 @ sk__13 ) @ ( k5_waybel34 @ sk__13 ) )
    | ( v3_struct_0 @ ( k5_waybel34 @ sk__13 ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl124,zip_derived_cl6176]) ).

thf(zip_derived_cl222_015,plain,
    ~ ( v1_xboole_0 @ sk__13 ),
    inference('sup-',[status(thm)],[zip_derived_cl35,zip_derived_cl219]) ).

thf(zip_derived_cl6190,plain,
    ( ( v3_struct_0 @ ( k4_waybel34 @ sk__13 ) )
    | ~ ( v16_functor0 @ ( k6_waybel34 @ sk__13 ) @ ( k4_waybel34 @ sk__13 ) @ ( k5_waybel34 @ sk__13 ) )
    | ~ ( m2_functor0 @ ( k6_waybel34 @ sk__13 ) @ ( k4_waybel34 @ sk__13 ) @ ( k5_waybel34 @ sk__13 ) )
    | ( v3_struct_0 @ ( k9_waybel34 @ sk__13 ) )
    | ~ ( m1_altcat_2 @ ( k9_waybel34 @ sk__13 ) @ ( k5_waybel34 @ sk__13 ) )
    | ( v3_struct_0 @ ( k8_waybel34 @ sk__13 ) )
    | ~ ( v21_functor0 @ ( k6_waybel34 @ sk__13 ) @ ( k4_waybel34 @ sk__13 ) @ ( k5_waybel34 @ sk__13 ) )
    | ( v3_struct_0 @ ( k5_waybel34 @ sk__13 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl6181,zip_derived_cl222]) ).

thf(zip_derived_cl6195,plain,
    ( ( v2_setfam_1 @ sk__13 )
    | ( v3_struct_0 @ ( k5_waybel34 @ sk__13 ) )
    | ~ ( v21_functor0 @ ( k6_waybel34 @ sk__13 ) @ ( k4_waybel34 @ sk__13 ) @ ( k5_waybel34 @ sk__13 ) )
    | ( v3_struct_0 @ ( k8_waybel34 @ sk__13 ) )
    | ( v3_struct_0 @ ( k9_waybel34 @ sk__13 ) )
    | ~ ( m2_functor0 @ ( k6_waybel34 @ sk__13 ) @ ( k4_waybel34 @ sk__13 ) @ ( k5_waybel34 @ sk__13 ) )
    | ~ ( v16_functor0 @ ( k6_waybel34 @ sk__13 ) @ ( k4_waybel34 @ sk__13 ) @ ( k5_waybel34 @ sk__13 ) )
    | ( v3_struct_0 @ ( k4_waybel34 @ sk__13 ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl129,zip_derived_cl6190]) ).

thf(zip_derived_cl219_016,plain,
    ~ ( v2_setfam_1 @ sk__13 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl6204,plain,
    ( ( v3_struct_0 @ ( k5_waybel34 @ sk__13 ) )
    | ~ ( v21_functor0 @ ( k6_waybel34 @ sk__13 ) @ ( k4_waybel34 @ sk__13 ) @ ( k5_waybel34 @ sk__13 ) )
    | ( v3_struct_0 @ ( k8_waybel34 @ sk__13 ) )
    | ( v3_struct_0 @ ( k9_waybel34 @ sk__13 ) )
    | ~ ( m2_functor0 @ ( k6_waybel34 @ sk__13 ) @ ( k4_waybel34 @ sk__13 ) @ ( k5_waybel34 @ sk__13 ) )
    | ~ ( v16_functor0 @ ( k6_waybel34 @ sk__13 ) @ ( k4_waybel34 @ sk__13 ) @ ( k5_waybel34 @ sk__13 ) )
    | ( v3_struct_0 @ ( k4_waybel34 @ sk__13 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl6195,zip_derived_cl219]) ).

thf(zip_derived_cl6212,plain,
    ( ( v2_setfam_1 @ sk__13 )
    | ( v3_struct_0 @ ( k4_waybel34 @ sk__13 ) )
    | ~ ( v16_functor0 @ ( k6_waybel34 @ sk__13 ) @ ( k4_waybel34 @ sk__13 ) @ ( k5_waybel34 @ sk__13 ) )
    | ~ ( m2_functor0 @ ( k6_waybel34 @ sk__13 ) @ ( k4_waybel34 @ sk__13 ) @ ( k5_waybel34 @ sk__13 ) )
    | ( v3_struct_0 @ ( k9_waybel34 @ sk__13 ) )
    | ( v3_struct_0 @ ( k8_waybel34 @ sk__13 ) )
    | ( v3_struct_0 @ ( k5_waybel34 @ sk__13 ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl171,zip_derived_cl6204]) ).

thf(zip_derived_cl219_017,plain,
    ~ ( v2_setfam_1 @ sk__13 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl6231,plain,
    ( ( v3_struct_0 @ ( k4_waybel34 @ sk__13 ) )
    | ~ ( v16_functor0 @ ( k6_waybel34 @ sk__13 ) @ ( k4_waybel34 @ sk__13 ) @ ( k5_waybel34 @ sk__13 ) )
    | ~ ( m2_functor0 @ ( k6_waybel34 @ sk__13 ) @ ( k4_waybel34 @ sk__13 ) @ ( k5_waybel34 @ sk__13 ) )
    | ( v3_struct_0 @ ( k9_waybel34 @ sk__13 ) )
    | ( v3_struct_0 @ ( k8_waybel34 @ sk__13 ) )
    | ( v3_struct_0 @ ( k5_waybel34 @ sk__13 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl6212,zip_derived_cl219]) ).

thf(zip_derived_cl6241,plain,
    ( ( v2_setfam_1 @ sk__13 )
    | ( v3_struct_0 @ ( k5_waybel34 @ sk__13 ) )
    | ( v3_struct_0 @ ( k8_waybel34 @ sk__13 ) )
    | ( v3_struct_0 @ ( k9_waybel34 @ sk__13 ) )
    | ~ ( m2_functor0 @ ( k6_waybel34 @ sk__13 ) @ ( k4_waybel34 @ sk__13 ) @ ( k5_waybel34 @ sk__13 ) )
    | ( v3_struct_0 @ ( k4_waybel34 @ sk__13 ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl115,zip_derived_cl6231]) ).

thf(zip_derived_cl219_018,plain,
    ~ ( v2_setfam_1 @ sk__13 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl6260,plain,
    ( ( v3_struct_0 @ ( k5_waybel34 @ sk__13 ) )
    | ( v3_struct_0 @ ( k8_waybel34 @ sk__13 ) )
    | ( v3_struct_0 @ ( k9_waybel34 @ sk__13 ) )
    | ~ ( m2_functor0 @ ( k6_waybel34 @ sk__13 ) @ ( k4_waybel34 @ sk__13 ) @ ( k5_waybel34 @ sk__13 ) )
    | ( v3_struct_0 @ ( k4_waybel34 @ sk__13 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl6241,zip_derived_cl219]) ).

thf(zip_derived_cl6270,plain,
    ( ( v2_setfam_1 @ sk__13 )
    | ( v3_struct_0 @ ( k4_waybel34 @ sk__13 ) )
    | ( v3_struct_0 @ ( k9_waybel34 @ sk__13 ) )
    | ( v3_struct_0 @ ( k8_waybel34 @ sk__13 ) )
    | ( v3_struct_0 @ ( k5_waybel34 @ sk__13 ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl116,zip_derived_cl6260]) ).

thf(zip_derived_cl219_019,plain,
    ~ ( v2_setfam_1 @ sk__13 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl6289,plain,
    ( ( v3_struct_0 @ ( k4_waybel34 @ sk__13 ) )
    | ( v3_struct_0 @ ( k9_waybel34 @ sk__13 ) )
    | ( v3_struct_0 @ ( k8_waybel34 @ sk__13 ) )
    | ( v3_struct_0 @ ( k5_waybel34 @ sk__13 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl6270,zip_derived_cl219]) ).

thf(zip_derived_cl120,plain,
    ! [X0: $i] :
      ( ~ ( v3_struct_0 @ ( k8_waybel34 @ X0 ) )
      | ( v1_xboole_0 @ X0 ) ),
    inference(cnf,[status(esa)],[dt_k8_waybel34]) ).

thf(zip_derived_cl6296,plain,
    ( ( v3_struct_0 @ ( k5_waybel34 @ sk__13 ) )
    | ( v3_struct_0 @ ( k9_waybel34 @ sk__13 ) )
    | ( v3_struct_0 @ ( k4_waybel34 @ sk__13 ) )
    | ( v1_xboole_0 @ sk__13 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl6289,zip_derived_cl120]) ).

thf(zip_derived_cl222_020,plain,
    ~ ( v1_xboole_0 @ sk__13 ),
    inference('sup-',[status(thm)],[zip_derived_cl35,zip_derived_cl219]) ).

thf(zip_derived_cl6303,plain,
    ( ( v3_struct_0 @ ( k5_waybel34 @ sk__13 ) )
    | ( v3_struct_0 @ ( k9_waybel34 @ sk__13 ) )
    | ( v3_struct_0 @ ( k4_waybel34 @ sk__13 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl6296,zip_derived_cl222]) ).

thf(zip_derived_cl125,plain,
    ! [X0: $i] :
      ( ~ ( v3_struct_0 @ ( k9_waybel34 @ X0 ) )
      | ( v2_setfam_1 @ X0 ) ),
    inference(cnf,[status(esa)],[dt_k9_waybel34]) ).

thf(zip_derived_cl6304,plain,
    ( ( v3_struct_0 @ ( k4_waybel34 @ sk__13 ) )
    | ( v3_struct_0 @ ( k5_waybel34 @ sk__13 ) )
    | ( v2_setfam_1 @ sk__13 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl6303,zip_derived_cl125]) ).

thf(zip_derived_cl219_021,plain,
    ~ ( v2_setfam_1 @ sk__13 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl6311,plain,
    ( ( v3_struct_0 @ ( k4_waybel34 @ sk__13 ) )
    | ( v3_struct_0 @ ( k5_waybel34 @ sk__13 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl6304,zip_derived_cl219]) ).

thf(zip_derived_cl100,plain,
    ! [X0: $i] :
      ( ~ ( v3_struct_0 @ ( k4_waybel34 @ X0 ) )
      | ( v1_xboole_0 @ X0 ) ),
    inference(cnf,[status(esa)],[dt_k4_waybel34]) ).

thf(zip_derived_cl6312,plain,
    ( ( v3_struct_0 @ ( k5_waybel34 @ sk__13 ) )
    | ( v1_xboole_0 @ sk__13 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl6311,zip_derived_cl100]) ).

thf(zip_derived_cl222_022,plain,
    ~ ( v1_xboole_0 @ sk__13 ),
    inference('sup-',[status(thm)],[zip_derived_cl35,zip_derived_cl219]) ).

thf(zip_derived_cl6320,plain,
    v3_struct_0 @ ( k5_waybel34 @ sk__13 ),
    inference(demod,[status(thm)],[zip_derived_cl6312,zip_derived_cl222]) ).

thf(zip_derived_cl107,plain,
    ! [X0: $i] :
      ( ~ ( v3_struct_0 @ ( k5_waybel34 @ X0 ) )
      | ( v1_xboole_0 @ X0 ) ),
    inference(cnf,[status(esa)],[dt_k5_waybel34]) ).

thf(zip_derived_cl6322,plain,
    v1_xboole_0 @ sk__13,
    inference('sup-',[status(thm)],[zip_derived_cl6320,zip_derived_cl107]) ).

thf(zip_derived_cl6330,plain,
    $false,
    inference(demod,[status(thm)],[zip_derived_cl222,zip_derived_cl6322]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12  % Problem  : LAT376+1 : TPTP v9.2.0. Released v3.4.0.
% 0.11/0.13  % Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.hXkOzo3is7 true
% 0.12/0.34  % Computer : n013.cluster.edu
% 0.12/0.34  % Model    : x86_64 x86_64
% 0.12/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34  % Memory   : 8042.1875MB
% 0.12/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34  % CPULimit : 300
% 0.12/0.34  % WCLimit  : 300
% 0.12/0.34  % DateTime : Wed Oct  1 14:39:38 EDT 2025
% 0.12/0.34  % CPUTime  : 
% 0.12/0.34  % Running portfolio for 300 s
% 0.12/0.34  % File         : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.12/0.34  % Number of cores: 8
% 0.12/0.35  % Python version: Python 3.6.8
% 0.12/0.35  % Running in FO mode
% 0.48/0.59  % Total configuration time : 435
% 0.48/0.59  % Estimated wc time : 1092
% 0.48/0.59  % Estimated cpu time (7 cpus) : 156.0
% 0.48/0.66  % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.48/0.70  % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.48/0.70  % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.48/0.70  % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.48/0.70  % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.48/0.70  % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.48/0.71  % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 0.50/0.78  % /export/starexec/sandbox2/solver/bin/fo/fo1_lcnf.sh running for 50s
% 26.34/4.31  % Solved by fo/fo7.sh.
% 26.34/4.31  % done 2464 iterations in 3.580s
% 26.34/4.31  % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 26.34/4.31  % SZS output start Refutation
% See solution above
% 26.34/4.31  
% 26.34/4.31  
% 26.34/4.31  % Terminating...
% 26.59/4.42  % Runner terminated.
% 26.59/4.43  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------