TSTP Solution File: LAT361+1 by Zipperpin---2.1.9999

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : LAT361+1 : TPTP v8.1.2. Released v3.4.0.
% Transfm  : NO INFORMATION
% Format   : NO INFORMATION
% Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.QRUeMS3Da6 true

% Computer : n011.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 Aug 31 06:47:18 EDT 2023

% Result   : Theorem 10.14s 2.20s
% Output   : Refutation 10.14s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   21
%            Number of leaves      :   53
% Syntax   : Number of formulae    :  218 (  77 unt;  38 typ;   0 def)
%            Number of atoms       :  539 (  80 equ;   0 cnn)
%            Maximal formula atoms :   17 (   2 avg)
%            Number of connectives : 2849 ( 261   ~; 261   |;  75   &;2229   @)
%                                         (   0 <=>;  23  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   23 (   6 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :   70 (  70   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   40 (  38 usr;   2 con; 0-5 aty)
%            Number of variables   :   96 (   0   ^;  96   !;   0   ?;  96   :)

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

thf(l2_functor0_type,type,
    l2_functor0: $i > $i > $i > $o ).

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

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

thf(v3_yellow21_type,type,
    v3_yellow21: $i > $o ).

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

thf(v4_yellow18_type,type,
    v4_yellow18: $i > $o ).

thf(k13_functor0_type,type,
    k13_functor0: $i > $i > $i > $i > $i > $i ).

thf(sk__type,type,
    sk_: $i ).

thf(l1_altcat_1_type,type,
    l1_altcat_1: $i > $o ).

thf(u1_functor0_type,type,
    u1_functor0: $i > $i > $i > $i ).

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

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

thf(u2_functor0_type,type,
    u2_functor0: $i > $i > $i > $i ).

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

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

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

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

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

thf(k12_functor0_type,type,
    k12_functor0: $i > $i ).

thf(g2_functor0_type,type,
    g2_functor0: $i > $i > $i > $i > $i ).

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

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

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

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

thf(v1_altcat_2_type,type,
    v1_altcat_2: $i > $o ).

thf(v1_yellow21_type,type,
    v1_yellow21: $i > $o ).

thf(v3_yellow18_type,type,
    v3_yellow18: $i > $o ).

thf(v9_altcat_1_type,type,
    v9_altcat_1: $i > $o ).

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

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

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

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

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

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

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

thf(v2_yellow18_type,type,
    v2_yellow18: $i > $o ).

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

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_cl227,plain,
    ! [X0: $i] :
      ( ( v8_functor0 @ ( k6_waybel34 @ X0 ) @ ( k4_waybel34 @ X0 ) @ ( k5_waybel34 @ X0 ) )
      | ( v2_setfam_1 @ X0 ) ),
    inference(cnf,[status(esa)],[fc7_waybel34]) ).

thf(t19_waybel34,conjecture,
    ! [A: $i] :
      ( ~ ( v2_setfam_1 @ A )
     => ( ( ( k13_functor0 @ ( k5_waybel34 @ A ) @ ( k4_waybel34 @ A ) @ ( k5_waybel34 @ A ) @ ( k7_waybel34 @ A ) @ ( k6_waybel34 @ A ) )
          = ( k12_functor0 @ ( k5_waybel34 @ A ) ) )
        & ( ( k13_functor0 @ ( k4_waybel34 @ A ) @ ( k5_waybel34 @ A ) @ ( k4_waybel34 @ A ) @ ( k6_waybel34 @ A ) @ ( k7_waybel34 @ A ) )
          = ( k12_functor0 @ ( k4_waybel34 @ A ) ) ) ) ) ).

thf(zf_stmt_0,negated_conjecture,
    ~ ! [A: $i] :
        ( ~ ( v2_setfam_1 @ A )
       => ( ( ( k13_functor0 @ ( k5_waybel34 @ A ) @ ( k4_waybel34 @ A ) @ ( k5_waybel34 @ A ) @ ( k7_waybel34 @ A ) @ ( k6_waybel34 @ A ) )
            = ( k12_functor0 @ ( k5_waybel34 @ A ) ) )
          & ( ( k13_functor0 @ ( k4_waybel34 @ A ) @ ( k5_waybel34 @ A ) @ ( k4_waybel34 @ A ) @ ( k6_waybel34 @ A ) @ ( k7_waybel34 @ A ) )
            = ( k12_functor0 @ ( k4_waybel34 @ A ) ) ) ) ),
    inference('cnf.neg',[status(esa)],[t19_waybel34]) ).

thf(zip_derived_cl0,plain,
    ~ ( v2_setfam_1 @ sk_ ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl3253,plain,
    v8_functor0 @ ( k6_waybel34 @ sk_ ) @ ( k4_waybel34 @ sk_ ) @ ( k5_waybel34 @ sk_ ),
    inference('dp-resolution',[status(thm)],[zip_derived_cl227,zip_derived_cl0]) ).

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_cl127,plain,
    ! [X0: $i] :
      ( ( l2_altcat_1 @ ( k5_waybel34 @ X0 ) )
      | ( v1_xboole_0 @ X0 ) ),
    inference(cnf,[status(esa)],[dt_k5_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_cl120,plain,
    ! [X0: $i] :
      ( ( l2_altcat_1 @ ( k4_waybel34 @ X0 ) )
      | ( v1_xboole_0 @ X0 ) ),
    inference(cnf,[status(esa)],[dt_k4_waybel34]) ).

thf(fc8_waybel34,axiom,
    ! [A: $i] :
      ( ~ ( v2_setfam_1 @ A )
     => ( ( v6_functor0 @ ( k7_waybel34 @ A ) @ ( k5_waybel34 @ A ) @ ( k4_waybel34 @ A ) )
        & ( v8_functor0 @ ( k7_waybel34 @ A ) @ ( k5_waybel34 @ A ) @ ( k4_waybel34 @ A ) )
        & ( v9_functor0 @ ( k7_waybel34 @ A ) @ ( k5_waybel34 @ A ) @ ( k4_waybel34 @ A ) )
        & ( v11_functor0 @ ( k7_waybel34 @ A ) @ ( k5_waybel34 @ A ) @ ( k4_waybel34 @ A ) )
        & ( v12_functor0 @ ( k7_waybel34 @ A ) @ ( k5_waybel34 @ A ) @ ( k4_waybel34 @ A ) )
        & ( v14_functor0 @ ( k7_waybel34 @ A ) @ ( k5_waybel34 @ A ) @ ( k4_waybel34 @ A ) )
        & ( v16_functor0 @ ( k7_waybel34 @ A ) @ ( k5_waybel34 @ A ) @ ( k4_waybel34 @ A ) )
        & ( v21_functor0 @ ( k7_waybel34 @ A ) @ ( k5_waybel34 @ A ) @ ( k4_waybel34 @ A ) ) ) ) ).

thf(zip_derived_cl241,plain,
    ! [X0: $i] :
      ( ( v21_functor0 @ ( k7_waybel34 @ X0 ) @ ( k5_waybel34 @ X0 ) @ ( k4_waybel34 @ X0 ) )
      | ( v2_setfam_1 @ X0 ) ),
    inference(cnf,[status(esa)],[fc8_waybel34]) ).

thf(t21_functor1,axiom,
    ! [A: $i] :
      ( ( ~ ( v3_struct_0 @ A )
        & ( v2_altcat_1 @ A )
        & ( v12_altcat_1 @ A )
        & ( v1_altcat_2 @ A )
        & ( l2_altcat_1 @ A ) )
     => ! [B: $i] :
          ( ( ~ ( v3_struct_0 @ B )
            & ( v2_altcat_1 @ B )
            & ( v12_altcat_1 @ B )
            & ( v1_altcat_2 @ B )
            & ( l2_altcat_1 @ B ) )
         => ! [C: $i] :
              ( ( ( v8_functor0 @ C @ A @ B )
                & ( l2_functor0 @ C @ A @ B ) )
             => ( ( v21_functor0 @ C @ A @ B )
               => ! [D: $i] :
                    ( ( ( v8_functor0 @ D @ B @ A )
                      & ( l2_functor0 @ D @ B @ A ) )
                   => ( ( ( g2_functor0 @ B @ A @ ( u1_functor0 @ B @ A @ D ) @ ( u2_functor0 @ B @ A @ D ) )
                        = ( k15_functor0 @ A @ B @ C ) )
                     => ( ( k13_functor0 @ B @ A @ B @ D @ C )
                        = ( k12_functor0 @ B ) ) ) ) ) ) ) ) ).

thf(zip_derived_cl328,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( ( v3_struct_0 @ X0 )
      | ~ ( v2_altcat_1 @ X0 )
      | ~ ( v12_altcat_1 @ X0 )
      | ~ ( v1_altcat_2 @ X0 )
      | ~ ( l2_altcat_1 @ X0 )
      | ~ ( v21_functor0 @ X1 @ X2 @ X0 )
      | ~ ( v8_functor0 @ X3 @ X0 @ X2 )
      | ~ ( l2_functor0 @ X3 @ X0 @ X2 )
      | ( ( k13_functor0 @ X0 @ X2 @ X0 @ X3 @ X1 )
        = ( k12_functor0 @ X0 ) )
      | ( ( g2_functor0 @ X0 @ X2 @ ( u1_functor0 @ X0 @ X2 @ X3 ) @ ( u2_functor0 @ X0 @ X2 @ X3 ) )
       != ( k15_functor0 @ X2 @ X0 @ X1 ) )
      | ~ ( l2_functor0 @ X1 @ X2 @ X0 )
      | ~ ( v8_functor0 @ X1 @ X2 @ X0 )
      | ~ ( l2_altcat_1 @ X2 )
      | ~ ( v1_altcat_2 @ X2 )
      | ~ ( v12_altcat_1 @ X2 )
      | ~ ( v2_altcat_1 @ X2 )
      | ( v3_struct_0 @ X2 ) ),
    inference(cnf,[status(esa)],[t21_functor1]) ).

thf(zip_derived_cl2614,plain,
    ! [X0: $i,X1: $i] :
      ( ( v2_setfam_1 @ X0 )
      | ( v3_struct_0 @ ( k5_waybel34 @ X0 ) )
      | ~ ( v2_altcat_1 @ ( k5_waybel34 @ X0 ) )
      | ~ ( v12_altcat_1 @ ( k5_waybel34 @ X0 ) )
      | ~ ( v1_altcat_2 @ ( k5_waybel34 @ X0 ) )
      | ~ ( l2_altcat_1 @ ( k5_waybel34 @ X0 ) )
      | ~ ( v8_functor0 @ ( k7_waybel34 @ X0 ) @ ( k5_waybel34 @ X0 ) @ ( k4_waybel34 @ X0 ) )
      | ~ ( l2_functor0 @ ( k7_waybel34 @ X0 ) @ ( k5_waybel34 @ X0 ) @ ( k4_waybel34 @ X0 ) )
      | ( ( g2_functor0 @ ( k4_waybel34 @ X0 ) @ ( k5_waybel34 @ X0 ) @ ( u1_functor0 @ ( k4_waybel34 @ X0 ) @ ( k5_waybel34 @ X0 ) @ X1 ) @ ( u2_functor0 @ ( k4_waybel34 @ X0 ) @ ( k5_waybel34 @ X0 ) @ X1 ) )
       != ( k15_functor0 @ ( k5_waybel34 @ X0 ) @ ( k4_waybel34 @ X0 ) @ ( k7_waybel34 @ X0 ) ) )
      | ( ( k13_functor0 @ ( k4_waybel34 @ X0 ) @ ( k5_waybel34 @ X0 ) @ ( k4_waybel34 @ X0 ) @ X1 @ ( k7_waybel34 @ X0 ) )
        = ( k12_functor0 @ ( k4_waybel34 @ X0 ) ) )
      | ~ ( l2_functor0 @ X1 @ ( k4_waybel34 @ X0 ) @ ( k5_waybel34 @ X0 ) )
      | ~ ( v8_functor0 @ X1 @ ( k4_waybel34 @ X0 ) @ ( k5_waybel34 @ X0 ) )
      | ~ ( l2_altcat_1 @ ( k4_waybel34 @ X0 ) )
      | ~ ( v1_altcat_2 @ ( k4_waybel34 @ X0 ) )
      | ~ ( v12_altcat_1 @ ( k4_waybel34 @ X0 ) )
      | ~ ( v2_altcat_1 @ ( k4_waybel34 @ X0 ) )
      | ( v3_struct_0 @ ( k4_waybel34 @ X0 ) ) ),
    inference('dp-resolution',[status(thm)],[zip_derived_cl241,zip_derived_cl328]) ).

thf(zip_derived_cl0_001,plain,
    ~ ( v2_setfam_1 @ sk_ ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl3277,plain,
    ! [X0: $i] :
      ( ( v3_struct_0 @ ( k4_waybel34 @ sk_ ) )
      | ~ ( v2_altcat_1 @ ( k4_waybel34 @ sk_ ) )
      | ~ ( v12_altcat_1 @ ( k4_waybel34 @ sk_ ) )
      | ~ ( v1_altcat_2 @ ( k4_waybel34 @ sk_ ) )
      | ~ ( l2_altcat_1 @ ( k4_waybel34 @ sk_ ) )
      | ~ ( v8_functor0 @ X0 @ ( k4_waybel34 @ sk_ ) @ ( k5_waybel34 @ sk_ ) )
      | ~ ( l2_functor0 @ X0 @ ( k4_waybel34 @ sk_ ) @ ( k5_waybel34 @ sk_ ) )
      | ( ( k13_functor0 @ ( k4_waybel34 @ sk_ ) @ ( k5_waybel34 @ sk_ ) @ ( k4_waybel34 @ sk_ ) @ X0 @ ( k7_waybel34 @ sk_ ) )
        = ( k12_functor0 @ ( k4_waybel34 @ sk_ ) ) )
      | ( ( g2_functor0 @ ( k4_waybel34 @ sk_ ) @ ( k5_waybel34 @ sk_ ) @ ( u1_functor0 @ ( k4_waybel34 @ sk_ ) @ ( k5_waybel34 @ sk_ ) @ X0 ) @ ( u2_functor0 @ ( k4_waybel34 @ sk_ ) @ ( k5_waybel34 @ sk_ ) @ X0 ) )
       != ( k15_functor0 @ ( k5_waybel34 @ sk_ ) @ ( k4_waybel34 @ sk_ ) @ ( k7_waybel34 @ sk_ ) ) )
      | ~ ( l2_functor0 @ ( k7_waybel34 @ sk_ ) @ ( k5_waybel34 @ sk_ ) @ ( k4_waybel34 @ sk_ ) )
      | ~ ( v8_functor0 @ ( k7_waybel34 @ sk_ ) @ ( k5_waybel34 @ sk_ ) @ ( k4_waybel34 @ sk_ ) )
      | ~ ( l2_altcat_1 @ ( k5_waybel34 @ sk_ ) )
      | ~ ( v1_altcat_2 @ ( k5_waybel34 @ sk_ ) )
      | ~ ( v12_altcat_1 @ ( k5_waybel34 @ sk_ ) )
      | ~ ( v2_altcat_1 @ ( k5_waybel34 @ sk_ ) )
      | ( v3_struct_0 @ ( k5_waybel34 @ sk_ ) ) ),
    inference('dp-resolution',[status(thm)],[zip_derived_cl2614,zip_derived_cl0]) ).

thf(fc5_waybel34,axiom,
    ! [A: $i] :
      ( ~ ( v2_setfam_1 @ A )
     => ( ~ ( v3_struct_0 @ ( k4_waybel34 @ A ) )
        & ( v2_altcat_1 @ ( k4_waybel34 @ A ) )
        & ( v6_altcat_1 @ ( k4_waybel34 @ A ) )
        & ( v9_altcat_1 @ ( k4_waybel34 @ A ) )
        & ( v11_altcat_1 @ ( k4_waybel34 @ A ) )
        & ( v12_altcat_1 @ ( k4_waybel34 @ A ) )
        & ( v1_altcat_2 @ ( k4_waybel34 @ A ) )
        & ( v2_yellow18 @ ( k4_waybel34 @ A ) )
        & ( v3_yellow18 @ ( k4_waybel34 @ A ) )
        & ( v4_yellow18 @ ( k4_waybel34 @ A ) )
        & ( v1_yellow21 @ ( k4_waybel34 @ A ) )
        & ( v2_yellow21 @ ( k4_waybel34 @ A ) )
        & ( v3_yellow21 @ ( k4_waybel34 @ A ) ) ) ) ).

thf(zip_derived_cl191,plain,
    ! [X0: $i] :
      ( ~ ( v3_struct_0 @ ( k4_waybel34 @ X0 ) )
      | ( v2_setfam_1 @ X0 ) ),
    inference(cnf,[status(esa)],[fc5_waybel34]) ).

thf(zip_derived_cl0_002,plain,
    ~ ( v2_setfam_1 @ sk_ ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl3231,plain,
    ~ ( v3_struct_0 @ ( k4_waybel34 @ sk_ ) ),
    inference('dp-resolution',[status(thm)],[zip_derived_cl191,zip_derived_cl0]) ).

thf(zip_derived_cl192,plain,
    ! [X0: $i] :
      ( ( v2_altcat_1 @ ( k4_waybel34 @ X0 ) )
      | ( v2_setfam_1 @ X0 ) ),
    inference(cnf,[status(esa)],[fc5_waybel34]) ).

thf(zip_derived_cl0_003,plain,
    ~ ( v2_setfam_1 @ sk_ ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl3233,plain,
    v2_altcat_1 @ ( k4_waybel34 @ sk_ ),
    inference('dp-resolution',[status(thm)],[zip_derived_cl192,zip_derived_cl0]) ).

thf(zip_derived_cl196,plain,
    ! [X0: $i] :
      ( ( v12_altcat_1 @ ( k4_waybel34 @ X0 ) )
      | ( v2_setfam_1 @ X0 ) ),
    inference(cnf,[status(esa)],[fc5_waybel34]) ).

thf(zip_derived_cl0_004,plain,
    ~ ( v2_setfam_1 @ sk_ ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl3237,plain,
    v12_altcat_1 @ ( k4_waybel34 @ sk_ ),
    inference('dp-resolution',[status(thm)],[zip_derived_cl196,zip_derived_cl0]) ).

thf(zip_derived_cl197,plain,
    ! [X0: $i] :
      ( ( v1_altcat_2 @ ( k4_waybel34 @ X0 ) )
      | ( v2_setfam_1 @ X0 ) ),
    inference(cnf,[status(esa)],[fc5_waybel34]) ).

thf(zip_derived_cl0_005,plain,
    ~ ( v2_setfam_1 @ sk_ ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl3239,plain,
    v1_altcat_2 @ ( k4_waybel34 @ sk_ ),
    inference('dp-resolution',[status(thm)],[zip_derived_cl197,zip_derived_cl0]) ).

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_cl326,plain,
    ! [X0: $i] :
      ( ( ( k15_functor0 @ ( k5_waybel34 @ X0 ) @ ( k4_waybel34 @ X0 ) @ ( k7_waybel34 @ X0 ) )
        = ( k6_waybel34 @ X0 ) )
      | ( v2_setfam_1 @ X0 ) ),
    inference(cnf,[status(esa)],[t18_waybel34]) ).

thf(zip_derived_cl0_006,plain,
    ~ ( v2_setfam_1 @ sk_ ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl3273,plain,
    ( ( k15_functor0 @ ( k5_waybel34 @ sk_ ) @ ( k4_waybel34 @ sk_ ) @ ( k7_waybel34 @ sk_ ) )
    = ( k6_waybel34 @ sk_ ) ),
    inference('dp-resolution',[status(thm)],[zip_derived_cl326,zip_derived_cl0]) ).

thf(zip_derived_cl120_007,plain,
    ! [X0: $i] :
      ( ( l2_altcat_1 @ ( k4_waybel34 @ X0 ) )
      | ( v1_xboole_0 @ X0 ) ),
    inference(cnf,[status(esa)],[dt_k4_waybel34]) ).

thf(zip_derived_cl127_008,plain,
    ! [X0: $i] :
      ( ( l2_altcat_1 @ ( k5_waybel34 @ X0 ) )
      | ( v1_xboole_0 @ X0 ) ),
    inference(cnf,[status(esa)],[dt_k5_waybel34]) ).

thf(dt_k7_waybel34,axiom,
    ! [A: $i] :
      ( ~ ( v2_setfam_1 @ A )
     => ( ( v9_functor0 @ ( k7_waybel34 @ A ) @ ( k5_waybel34 @ A ) @ ( k4_waybel34 @ A ) )
        & ( v16_functor0 @ ( k7_waybel34 @ A ) @ ( k5_waybel34 @ A ) @ ( k4_waybel34 @ A ) )
        & ( m2_functor0 @ ( k7_waybel34 @ A ) @ ( k5_waybel34 @ A ) @ ( k4_waybel34 @ A ) ) ) ) ).

thf(zip_derived_cl133,plain,
    ! [X0: $i] :
      ( ( m2_functor0 @ ( k7_waybel34 @ X0 ) @ ( k5_waybel34 @ X0 ) @ ( k4_waybel34 @ X0 ) )
      | ( v2_setfam_1 @ X0 ) ),
    inference(cnf,[status(esa)],[dt_k7_waybel34]) ).

thf(zip_derived_cl0_009,plain,
    ~ ( v2_setfam_1 @ sk_ ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl3229,plain,
    m2_functor0 @ ( k7_waybel34 @ sk_ ) @ ( k5_waybel34 @ sk_ ) @ ( k4_waybel34 @ sk_ ),
    inference('dp-resolution',[status(thm)],[zip_derived_cl133,zip_derived_cl0]) ).

thf(dt_m2_functor0,axiom,
    ! [A: $i,B: $i] :
      ( ( ~ ( v3_struct_0 @ A )
        & ( v2_altcat_1 @ A )
        & ( v12_altcat_1 @ A )
        & ( l2_altcat_1 @ A )
        & ~ ( v3_struct_0 @ B )
        & ( v12_altcat_1 @ B )
        & ( l2_altcat_1 @ B ) )
     => ! [C: $i] :
          ( ( m2_functor0 @ C @ A @ B )
         => ( l2_functor0 @ C @ A @ B ) ) ) ).

thf(zip_derived_cl144,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ~ ( l2_altcat_1 @ X0 )
      | ~ ( v12_altcat_1 @ X0 )
      | ~ ( v2_altcat_1 @ X0 )
      | ( v3_struct_0 @ X0 )
      | ( v3_struct_0 @ X1 )
      | ~ ( v12_altcat_1 @ X1 )
      | ~ ( l2_altcat_1 @ X1 )
      | ( l2_functor0 @ X2 @ X0 @ X1 )
      | ~ ( m2_functor0 @ X2 @ X0 @ X1 ) ),
    inference(cnf,[status(esa)],[dt_m2_functor0]) ).

thf(zip_derived_cl3736,plain,
    ( ~ ( l2_altcat_1 @ ( k5_waybel34 @ sk_ ) )
    | ~ ( v12_altcat_1 @ ( k5_waybel34 @ sk_ ) )
    | ~ ( v2_altcat_1 @ ( k5_waybel34 @ sk_ ) )
    | ( v3_struct_0 @ ( k5_waybel34 @ sk_ ) )
    | ( v3_struct_0 @ ( k4_waybel34 @ sk_ ) )
    | ~ ( v12_altcat_1 @ ( k4_waybel34 @ sk_ ) )
    | ~ ( l2_altcat_1 @ ( k4_waybel34 @ sk_ ) )
    | ( l2_functor0 @ ( k7_waybel34 @ sk_ ) @ ( k5_waybel34 @ sk_ ) @ ( k4_waybel34 @ sk_ ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl3229,zip_derived_cl144]) ).

thf(fc6_waybel34,axiom,
    ! [A: $i] :
      ( ~ ( v2_setfam_1 @ A )
     => ( ~ ( v3_struct_0 @ ( k5_waybel34 @ A ) )
        & ( v2_altcat_1 @ ( k5_waybel34 @ A ) )
        & ( v6_altcat_1 @ ( k5_waybel34 @ A ) )
        & ( v9_altcat_1 @ ( k5_waybel34 @ A ) )
        & ( v11_altcat_1 @ ( k5_waybel34 @ A ) )
        & ( v12_altcat_1 @ ( k5_waybel34 @ A ) )
        & ( v1_altcat_2 @ ( k5_waybel34 @ A ) )
        & ( v2_yellow18 @ ( k5_waybel34 @ A ) )
        & ( v3_yellow18 @ ( k5_waybel34 @ A ) )
        & ( v4_yellow18 @ ( k5_waybel34 @ A ) )
        & ( v1_yellow21 @ ( k5_waybel34 @ A ) )
        & ( v2_yellow21 @ ( k5_waybel34 @ A ) )
        & ( v3_yellow21 @ ( k5_waybel34 @ A ) ) ) ) ).

thf(zip_derived_cl215,plain,
    ! [X0: $i] :
      ( ( v12_altcat_1 @ ( k5_waybel34 @ X0 ) )
      | ( v2_setfam_1 @ X0 ) ),
    inference(cnf,[status(esa)],[fc6_waybel34]) ).

thf(zip_derived_cl0_010,plain,
    ~ ( v2_setfam_1 @ sk_ ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl3247,plain,
    v12_altcat_1 @ ( k5_waybel34 @ sk_ ),
    inference('dp-resolution',[status(thm)],[zip_derived_cl215,zip_derived_cl0]) ).

thf(zip_derived_cl211,plain,
    ! [X0: $i] :
      ( ( v2_altcat_1 @ ( k5_waybel34 @ X0 ) )
      | ( v2_setfam_1 @ X0 ) ),
    inference(cnf,[status(esa)],[fc6_waybel34]) ).

thf(zip_derived_cl0_011,plain,
    ~ ( v2_setfam_1 @ sk_ ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl3243,plain,
    v2_altcat_1 @ ( k5_waybel34 @ sk_ ),
    inference('dp-resolution',[status(thm)],[zip_derived_cl211,zip_derived_cl0]) ).

thf(zip_derived_cl210,plain,
    ! [X0: $i] :
      ( ~ ( v3_struct_0 @ ( k5_waybel34 @ X0 ) )
      | ( v2_setfam_1 @ X0 ) ),
    inference(cnf,[status(esa)],[fc6_waybel34]) ).

thf(zip_derived_cl0_012,plain,
    ~ ( v2_setfam_1 @ sk_ ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl3241,plain,
    ~ ( v3_struct_0 @ ( k5_waybel34 @ sk_ ) ),
    inference('dp-resolution',[status(thm)],[zip_derived_cl210,zip_derived_cl0]) ).

thf(zip_derived_cl3231_013,plain,
    ~ ( v3_struct_0 @ ( k4_waybel34 @ sk_ ) ),
    inference('dp-resolution',[status(thm)],[zip_derived_cl191,zip_derived_cl0]) ).

thf(zip_derived_cl3237_014,plain,
    v12_altcat_1 @ ( k4_waybel34 @ sk_ ),
    inference('dp-resolution',[status(thm)],[zip_derived_cl196,zip_derived_cl0]) ).

thf(zip_derived_cl3740,plain,
    ( ~ ( l2_altcat_1 @ ( k5_waybel34 @ sk_ ) )
    | ~ ( l2_altcat_1 @ ( k4_waybel34 @ sk_ ) )
    | ( l2_functor0 @ ( k7_waybel34 @ sk_ ) @ ( k5_waybel34 @ sk_ ) @ ( k4_waybel34 @ sk_ ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl3736,zip_derived_cl3247,zip_derived_cl3243,zip_derived_cl3241,zip_derived_cl3231,zip_derived_cl3237]) ).

thf(zip_derived_cl3878,plain,
    ( ( v1_xboole_0 @ sk_ )
    | ~ ( l2_altcat_1 @ ( k4_waybel34 @ sk_ ) )
    | ( l2_functor0 @ ( k7_waybel34 @ sk_ ) @ ( k5_waybel34 @ sk_ ) @ ( k4_waybel34 @ sk_ ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl127,zip_derived_cl3740]) ).

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

thf(zip_derived_cl65,plain,
    ! [X0: $i] :
      ( ~ ( v1_xboole_0 @ X0 )
      | ( v2_setfam_1 @ X0 ) ),
    inference(cnf,[status(esa)],[cc2_setfam_1]) ).

thf(zip_derived_cl0_015,plain,
    ~ ( v2_setfam_1 @ sk_ ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl3225,plain,
    ~ ( v1_xboole_0 @ sk_ ),
    inference('dp-resolution',[status(thm)],[zip_derived_cl65,zip_derived_cl0]) ).

thf(zip_derived_cl3879,plain,
    ( ~ ( l2_altcat_1 @ ( k4_waybel34 @ sk_ ) )
    | ( l2_functor0 @ ( k7_waybel34 @ sk_ ) @ ( k5_waybel34 @ sk_ ) @ ( k4_waybel34 @ sk_ ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl3878,zip_derived_cl3225]) ).

thf(zip_derived_cl3884,plain,
    ( ( v1_xboole_0 @ sk_ )
    | ( l2_functor0 @ ( k7_waybel34 @ sk_ ) @ ( k5_waybel34 @ sk_ ) @ ( k4_waybel34 @ sk_ ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl120,zip_derived_cl3879]) ).

thf(zip_derived_cl3225_016,plain,
    ~ ( v1_xboole_0 @ sk_ ),
    inference('dp-resolution',[status(thm)],[zip_derived_cl65,zip_derived_cl0]) ).

thf(zip_derived_cl3885,plain,
    l2_functor0 @ ( k7_waybel34 @ sk_ ) @ ( k5_waybel34 @ sk_ ) @ ( k4_waybel34 @ sk_ ),
    inference(demod,[status(thm)],[zip_derived_cl3884,zip_derived_cl3225]) ).

thf(zip_derived_cl235,plain,
    ! [X0: $i] :
      ( ( v8_functor0 @ ( k7_waybel34 @ X0 ) @ ( k5_waybel34 @ X0 ) @ ( k4_waybel34 @ X0 ) )
      | ( v2_setfam_1 @ X0 ) ),
    inference(cnf,[status(esa)],[fc8_waybel34]) ).

thf(zip_derived_cl0_017,plain,
    ~ ( v2_setfam_1 @ sk_ ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl3261,plain,
    v8_functor0 @ ( k7_waybel34 @ sk_ ) @ ( k5_waybel34 @ sk_ ) @ ( k4_waybel34 @ sk_ ),
    inference('dp-resolution',[status(thm)],[zip_derived_cl235,zip_derived_cl0]) ).

thf(zip_derived_cl216,plain,
    ! [X0: $i] :
      ( ( v1_altcat_2 @ ( k5_waybel34 @ X0 ) )
      | ( v2_setfam_1 @ X0 ) ),
    inference(cnf,[status(esa)],[fc6_waybel34]) ).

thf(zip_derived_cl0_018,plain,
    ~ ( v2_setfam_1 @ sk_ ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl3249,plain,
    v1_altcat_2 @ ( k5_waybel34 @ sk_ ),
    inference('dp-resolution',[status(thm)],[zip_derived_cl216,zip_derived_cl0]) ).

thf(zip_derived_cl3247_019,plain,
    v12_altcat_1 @ ( k5_waybel34 @ sk_ ),
    inference('dp-resolution',[status(thm)],[zip_derived_cl215,zip_derived_cl0]) ).

thf(zip_derived_cl3243_020,plain,
    v2_altcat_1 @ ( k5_waybel34 @ sk_ ),
    inference('dp-resolution',[status(thm)],[zip_derived_cl211,zip_derived_cl0]) ).

thf(zip_derived_cl3241_021,plain,
    ~ ( v3_struct_0 @ ( k5_waybel34 @ sk_ ) ),
    inference('dp-resolution',[status(thm)],[zip_derived_cl210,zip_derived_cl0]) ).

thf(zip_derived_cl5045,plain,
    ! [X0: $i] :
      ( ~ ( l2_altcat_1 @ ( k4_waybel34 @ sk_ ) )
      | ~ ( v8_functor0 @ X0 @ ( k4_waybel34 @ sk_ ) @ ( k5_waybel34 @ sk_ ) )
      | ~ ( l2_functor0 @ X0 @ ( k4_waybel34 @ sk_ ) @ ( k5_waybel34 @ sk_ ) )
      | ( ( k13_functor0 @ ( k4_waybel34 @ sk_ ) @ ( k5_waybel34 @ sk_ ) @ ( k4_waybel34 @ sk_ ) @ X0 @ ( k7_waybel34 @ sk_ ) )
        = ( k12_functor0 @ ( k4_waybel34 @ sk_ ) ) )
      | ( ( g2_functor0 @ ( k4_waybel34 @ sk_ ) @ ( k5_waybel34 @ sk_ ) @ ( u1_functor0 @ ( k4_waybel34 @ sk_ ) @ ( k5_waybel34 @ sk_ ) @ X0 ) @ ( u2_functor0 @ ( k4_waybel34 @ sk_ ) @ ( k5_waybel34 @ sk_ ) @ X0 ) )
       != ( k6_waybel34 @ sk_ ) )
      | ~ ( l2_altcat_1 @ ( k5_waybel34 @ sk_ ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl3277,zip_derived_cl3231,zip_derived_cl3233,zip_derived_cl3237,zip_derived_cl3239,zip_derived_cl3273,zip_derived_cl3885,zip_derived_cl3261,zip_derived_cl3249,zip_derived_cl3247,zip_derived_cl3243,zip_derived_cl3241]) ).

thf(zip_derived_cl5046,plain,
    ! [X0: $i] :
      ( ( v1_xboole_0 @ sk_ )
      | ~ ( v8_functor0 @ X0 @ ( k4_waybel34 @ sk_ ) @ ( k5_waybel34 @ sk_ ) )
      | ~ ( l2_functor0 @ X0 @ ( k4_waybel34 @ sk_ ) @ ( k5_waybel34 @ sk_ ) )
      | ( ( k13_functor0 @ ( k4_waybel34 @ sk_ ) @ ( k5_waybel34 @ sk_ ) @ ( k4_waybel34 @ sk_ ) @ X0 @ ( k7_waybel34 @ sk_ ) )
        = ( k12_functor0 @ ( k4_waybel34 @ sk_ ) ) )
      | ( ( g2_functor0 @ ( k4_waybel34 @ sk_ ) @ ( k5_waybel34 @ sk_ ) @ ( u1_functor0 @ ( k4_waybel34 @ sk_ ) @ ( k5_waybel34 @ sk_ ) @ X0 ) @ ( u2_functor0 @ ( k4_waybel34 @ sk_ ) @ ( k5_waybel34 @ sk_ ) @ X0 ) )
       != ( k6_waybel34 @ sk_ ) )
      | ~ ( l2_altcat_1 @ ( k5_waybel34 @ sk_ ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl120,zip_derived_cl5045]) ).

thf(zip_derived_cl3225_022,plain,
    ~ ( v1_xboole_0 @ sk_ ),
    inference('dp-resolution',[status(thm)],[zip_derived_cl65,zip_derived_cl0]) ).

thf(zip_derived_cl5047,plain,
    ! [X0: $i] :
      ( ~ ( v8_functor0 @ X0 @ ( k4_waybel34 @ sk_ ) @ ( k5_waybel34 @ sk_ ) )
      | ~ ( l2_functor0 @ X0 @ ( k4_waybel34 @ sk_ ) @ ( k5_waybel34 @ sk_ ) )
      | ( ( k13_functor0 @ ( k4_waybel34 @ sk_ ) @ ( k5_waybel34 @ sk_ ) @ ( k4_waybel34 @ sk_ ) @ X0 @ ( k7_waybel34 @ sk_ ) )
        = ( k12_functor0 @ ( k4_waybel34 @ sk_ ) ) )
      | ( ( g2_functor0 @ ( k4_waybel34 @ sk_ ) @ ( k5_waybel34 @ sk_ ) @ ( u1_functor0 @ ( k4_waybel34 @ sk_ ) @ ( k5_waybel34 @ sk_ ) @ X0 ) @ ( u2_functor0 @ ( k4_waybel34 @ sk_ ) @ ( k5_waybel34 @ sk_ ) @ X0 ) )
       != ( k6_waybel34 @ sk_ ) )
      | ~ ( l2_altcat_1 @ ( k5_waybel34 @ sk_ ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl5046,zip_derived_cl3225]) ).

thf(zip_derived_cl5518,plain,
    ! [X0: $i] :
      ( ( v1_xboole_0 @ sk_ )
      | ~ ( v8_functor0 @ X0 @ ( k4_waybel34 @ sk_ ) @ ( k5_waybel34 @ sk_ ) )
      | ~ ( l2_functor0 @ X0 @ ( k4_waybel34 @ sk_ ) @ ( k5_waybel34 @ sk_ ) )
      | ( ( k13_functor0 @ ( k4_waybel34 @ sk_ ) @ ( k5_waybel34 @ sk_ ) @ ( k4_waybel34 @ sk_ ) @ X0 @ ( k7_waybel34 @ sk_ ) )
        = ( k12_functor0 @ ( k4_waybel34 @ sk_ ) ) )
      | ( ( g2_functor0 @ ( k4_waybel34 @ sk_ ) @ ( k5_waybel34 @ sk_ ) @ ( u1_functor0 @ ( k4_waybel34 @ sk_ ) @ ( k5_waybel34 @ sk_ ) @ X0 ) @ ( u2_functor0 @ ( k4_waybel34 @ sk_ ) @ ( k5_waybel34 @ sk_ ) @ X0 ) )
       != ( k6_waybel34 @ sk_ ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl127,zip_derived_cl5047]) ).

thf(zip_derived_cl3225_023,plain,
    ~ ( v1_xboole_0 @ sk_ ),
    inference('dp-resolution',[status(thm)],[zip_derived_cl65,zip_derived_cl0]) ).

thf(zip_derived_cl5519,plain,
    ! [X0: $i] :
      ( ~ ( v8_functor0 @ X0 @ ( k4_waybel34 @ sk_ ) @ ( k5_waybel34 @ sk_ ) )
      | ~ ( l2_functor0 @ X0 @ ( k4_waybel34 @ sk_ ) @ ( k5_waybel34 @ sk_ ) )
      | ( ( k13_functor0 @ ( k4_waybel34 @ sk_ ) @ ( k5_waybel34 @ sk_ ) @ ( k4_waybel34 @ sk_ ) @ X0 @ ( k7_waybel34 @ sk_ ) )
        = ( k12_functor0 @ ( k4_waybel34 @ sk_ ) ) )
      | ( ( g2_functor0 @ ( k4_waybel34 @ sk_ ) @ ( k5_waybel34 @ sk_ ) @ ( u1_functor0 @ ( k4_waybel34 @ sk_ ) @ ( k5_waybel34 @ sk_ ) @ X0 ) @ ( u2_functor0 @ ( k4_waybel34 @ sk_ ) @ ( k5_waybel34 @ sk_ ) @ X0 ) )
       != ( k6_waybel34 @ sk_ ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl5518,zip_derived_cl3225]) ).

thf(zip_derived_cl5530,plain,
    ( ~ ( l2_functor0 @ ( k6_waybel34 @ sk_ ) @ ( k4_waybel34 @ sk_ ) @ ( k5_waybel34 @ sk_ ) )
    | ( ( k13_functor0 @ ( k4_waybel34 @ sk_ ) @ ( k5_waybel34 @ sk_ ) @ ( k4_waybel34 @ sk_ ) @ ( k6_waybel34 @ sk_ ) @ ( k7_waybel34 @ sk_ ) )
      = ( k12_functor0 @ ( k4_waybel34 @ sk_ ) ) )
    | ( ( g2_functor0 @ ( k4_waybel34 @ sk_ ) @ ( k5_waybel34 @ sk_ ) @ ( u1_functor0 @ ( k4_waybel34 @ sk_ ) @ ( k5_waybel34 @ sk_ ) @ ( k6_waybel34 @ sk_ ) ) @ ( u2_functor0 @ ( k4_waybel34 @ sk_ ) @ ( k5_waybel34 @ sk_ ) @ ( k6_waybel34 @ sk_ ) ) )
     != ( k6_waybel34 @ sk_ ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl3253,zip_derived_cl5519]) ).

thf(zip_derived_cl127_024,plain,
    ! [X0: $i] :
      ( ( l2_altcat_1 @ ( k5_waybel34 @ X0 ) )
      | ( v1_xboole_0 @ X0 ) ),
    inference(cnf,[status(esa)],[dt_k5_waybel34]) ).

thf(zip_derived_cl120_025,plain,
    ! [X0: $i] :
      ( ( l2_altcat_1 @ ( k4_waybel34 @ X0 ) )
      | ( v1_xboole_0 @ X0 ) ),
    inference(cnf,[status(esa)],[dt_k4_waybel34]) ).

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_cl130,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_cl0_026,plain,
    ~ ( v2_setfam_1 @ sk_ ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl3227,plain,
    m2_functor0 @ ( k6_waybel34 @ sk_ ) @ ( k4_waybel34 @ sk_ ) @ ( k5_waybel34 @ sk_ ),
    inference('dp-resolution',[status(thm)],[zip_derived_cl130,zip_derived_cl0]) ).

thf(zip_derived_cl144_027,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ~ ( l2_altcat_1 @ X0 )
      | ~ ( v12_altcat_1 @ X0 )
      | ~ ( v2_altcat_1 @ X0 )
      | ( v3_struct_0 @ X0 )
      | ( v3_struct_0 @ X1 )
      | ~ ( v12_altcat_1 @ X1 )
      | ~ ( l2_altcat_1 @ X1 )
      | ( l2_functor0 @ X2 @ X0 @ X1 )
      | ~ ( m2_functor0 @ X2 @ X0 @ X1 ) ),
    inference(cnf,[status(esa)],[dt_m2_functor0]) ).

thf(zip_derived_cl3724,plain,
    ( ~ ( l2_altcat_1 @ ( k4_waybel34 @ sk_ ) )
    | ~ ( v12_altcat_1 @ ( k4_waybel34 @ sk_ ) )
    | ~ ( v2_altcat_1 @ ( k4_waybel34 @ sk_ ) )
    | ( v3_struct_0 @ ( k4_waybel34 @ sk_ ) )
    | ( v3_struct_0 @ ( k5_waybel34 @ sk_ ) )
    | ~ ( v12_altcat_1 @ ( k5_waybel34 @ sk_ ) )
    | ~ ( l2_altcat_1 @ ( k5_waybel34 @ sk_ ) )
    | ( l2_functor0 @ ( k6_waybel34 @ sk_ ) @ ( k4_waybel34 @ sk_ ) @ ( k5_waybel34 @ sk_ ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl3227,zip_derived_cl144]) ).

thf(zip_derived_cl3237_028,plain,
    v12_altcat_1 @ ( k4_waybel34 @ sk_ ),
    inference('dp-resolution',[status(thm)],[zip_derived_cl196,zip_derived_cl0]) ).

thf(zip_derived_cl3233_029,plain,
    v2_altcat_1 @ ( k4_waybel34 @ sk_ ),
    inference('dp-resolution',[status(thm)],[zip_derived_cl192,zip_derived_cl0]) ).

thf(zip_derived_cl3231_030,plain,
    ~ ( v3_struct_0 @ ( k4_waybel34 @ sk_ ) ),
    inference('dp-resolution',[status(thm)],[zip_derived_cl191,zip_derived_cl0]) ).

thf(zip_derived_cl3241_031,plain,
    ~ ( v3_struct_0 @ ( k5_waybel34 @ sk_ ) ),
    inference('dp-resolution',[status(thm)],[zip_derived_cl210,zip_derived_cl0]) ).

thf(zip_derived_cl3247_032,plain,
    v12_altcat_1 @ ( k5_waybel34 @ sk_ ),
    inference('dp-resolution',[status(thm)],[zip_derived_cl215,zip_derived_cl0]) ).

thf(zip_derived_cl3728,plain,
    ( ~ ( l2_altcat_1 @ ( k4_waybel34 @ sk_ ) )
    | ~ ( l2_altcat_1 @ ( k5_waybel34 @ sk_ ) )
    | ( l2_functor0 @ ( k6_waybel34 @ sk_ ) @ ( k4_waybel34 @ sk_ ) @ ( k5_waybel34 @ sk_ ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl3724,zip_derived_cl3237,zip_derived_cl3233,zip_derived_cl3231,zip_derived_cl3241,zip_derived_cl3247]) ).

thf(zip_derived_cl3807,plain,
    ( ( v1_xboole_0 @ sk_ )
    | ~ ( l2_altcat_1 @ ( k5_waybel34 @ sk_ ) )
    | ( l2_functor0 @ ( k6_waybel34 @ sk_ ) @ ( k4_waybel34 @ sk_ ) @ ( k5_waybel34 @ sk_ ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl120,zip_derived_cl3728]) ).

thf(zip_derived_cl3225_033,plain,
    ~ ( v1_xboole_0 @ sk_ ),
    inference('dp-resolution',[status(thm)],[zip_derived_cl65,zip_derived_cl0]) ).

thf(zip_derived_cl3808,plain,
    ( ~ ( l2_altcat_1 @ ( k5_waybel34 @ sk_ ) )
    | ( l2_functor0 @ ( k6_waybel34 @ sk_ ) @ ( k4_waybel34 @ sk_ ) @ ( k5_waybel34 @ sk_ ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl3807,zip_derived_cl3225]) ).

thf(zip_derived_cl3810,plain,
    ( ( v1_xboole_0 @ sk_ )
    | ( l2_functor0 @ ( k6_waybel34 @ sk_ ) @ ( k4_waybel34 @ sk_ ) @ ( k5_waybel34 @ sk_ ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl127,zip_derived_cl3808]) ).

thf(zip_derived_cl3225_034,plain,
    ~ ( v1_xboole_0 @ sk_ ),
    inference('dp-resolution',[status(thm)],[zip_derived_cl65,zip_derived_cl0]) ).

thf(zip_derived_cl3811,plain,
    l2_functor0 @ ( k6_waybel34 @ sk_ ) @ ( k4_waybel34 @ sk_ ) @ ( k5_waybel34 @ sk_ ),
    inference(demod,[status(thm)],[zip_derived_cl3810,zip_derived_cl3225]) ).

thf(zip_derived_cl120_035,plain,
    ! [X0: $i] :
      ( ( l2_altcat_1 @ ( k4_waybel34 @ X0 ) )
      | ( v1_xboole_0 @ X0 ) ),
    inference(cnf,[status(esa)],[dt_k4_waybel34]) ).

thf(dt_l2_altcat_1,axiom,
    ! [A: $i] :
      ( ( l2_altcat_1 @ A )
     => ( l1_altcat_1 @ A ) ) ).

thf(zip_derived_cl137,plain,
    ! [X0: $i] :
      ( ( l1_altcat_1 @ X0 )
      | ~ ( l2_altcat_1 @ X0 ) ),
    inference(cnf,[status(esa)],[dt_l2_altcat_1]) ).

thf(zip_derived_cl127_036,plain,
    ! [X0: $i] :
      ( ( l2_altcat_1 @ ( k5_waybel34 @ X0 ) )
      | ( v1_xboole_0 @ X0 ) ),
    inference(cnf,[status(esa)],[dt_k5_waybel34]) ).

thf(zip_derived_cl137_037,plain,
    ! [X0: $i] :
      ( ( l1_altcat_1 @ X0 )
      | ~ ( l2_altcat_1 @ X0 ) ),
    inference(cnf,[status(esa)],[dt_l2_altcat_1]) ).

thf(zip_derived_cl128,plain,
    ! [X0: $i] :
      ( ( v9_functor0 @ ( k6_waybel34 @ X0 ) @ ( k4_waybel34 @ X0 ) @ ( k5_waybel34 @ X0 ) )
      | ( v2_setfam_1 @ X0 ) ),
    inference(cnf,[status(esa)],[dt_k6_waybel34]) ).

thf(abstractness_v9_functor0,axiom,
    ! [A: $i,B: $i,C: $i] :
      ( ( ( l1_altcat_1 @ A )
        & ( l1_altcat_1 @ B )
        & ( l2_functor0 @ C @ A @ B ) )
     => ( ( v9_functor0 @ C @ A @ B )
       => ( C
          = ( g2_functor0 @ A @ B @ ( u1_functor0 @ A @ B @ C ) @ ( u2_functor0 @ A @ B @ C ) ) ) ) ) ).

thf(zip_derived_cl3,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ~ ( l1_altcat_1 @ X0 )
      | ~ ( l1_altcat_1 @ X1 )
      | ~ ( l2_functor0 @ X2 @ X1 @ X0 )
      | ( X2
        = ( g2_functor0 @ X1 @ X0 @ ( u1_functor0 @ X1 @ X0 @ X2 ) @ ( u2_functor0 @ X1 @ X0 @ X2 ) ) )
      | ~ ( v9_functor0 @ X2 @ X1 @ X0 ) ),
    inference(cnf,[status(esa)],[abstractness_v9_functor0]) ).

thf(zip_derived_cl2989,plain,
    ! [X0: $i] :
      ( ( v2_setfam_1 @ X0 )
      | ( ( k6_waybel34 @ X0 )
        = ( g2_functor0 @ ( k4_waybel34 @ X0 ) @ ( k5_waybel34 @ X0 ) @ ( u1_functor0 @ ( k4_waybel34 @ X0 ) @ ( k5_waybel34 @ X0 ) @ ( k6_waybel34 @ X0 ) ) @ ( u2_functor0 @ ( k4_waybel34 @ X0 ) @ ( k5_waybel34 @ X0 ) @ ( k6_waybel34 @ X0 ) ) ) )
      | ~ ( l2_functor0 @ ( k6_waybel34 @ X0 ) @ ( k4_waybel34 @ X0 ) @ ( k5_waybel34 @ X0 ) )
      | ~ ( l1_altcat_1 @ ( k4_waybel34 @ X0 ) )
      | ~ ( l1_altcat_1 @ ( k5_waybel34 @ X0 ) ) ),
    inference('dp-resolution',[status(thm)],[zip_derived_cl128,zip_derived_cl3]) ).

thf(zip_derived_cl0_038,plain,
    ~ ( v2_setfam_1 @ sk_ ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl3399,plain,
    ( ~ ( l1_altcat_1 @ ( k5_waybel34 @ sk_ ) )
    | ~ ( l1_altcat_1 @ ( k4_waybel34 @ sk_ ) )
    | ~ ( l2_functor0 @ ( k6_waybel34 @ sk_ ) @ ( k4_waybel34 @ sk_ ) @ ( k5_waybel34 @ sk_ ) )
    | ( ( k6_waybel34 @ sk_ )
      = ( g2_functor0 @ ( k4_waybel34 @ sk_ ) @ ( k5_waybel34 @ sk_ ) @ ( u1_functor0 @ ( k4_waybel34 @ sk_ ) @ ( k5_waybel34 @ sk_ ) @ ( k6_waybel34 @ sk_ ) ) @ ( u2_functor0 @ ( k4_waybel34 @ sk_ ) @ ( k5_waybel34 @ sk_ ) @ ( k6_waybel34 @ sk_ ) ) ) ) ),
    inference('dp-resolution',[status(thm)],[zip_derived_cl2989,zip_derived_cl0]) ).

thf(zip_derived_cl3811_039,plain,
    l2_functor0 @ ( k6_waybel34 @ sk_ ) @ ( k4_waybel34 @ sk_ ) @ ( k5_waybel34 @ sk_ ),
    inference(demod,[status(thm)],[zip_derived_cl3810,zip_derived_cl3225]) ).

thf(zip_derived_cl4354,plain,
    ( ~ ( l1_altcat_1 @ ( k5_waybel34 @ sk_ ) )
    | ~ ( l1_altcat_1 @ ( k4_waybel34 @ sk_ ) )
    | ( ( k6_waybel34 @ sk_ )
      = ( g2_functor0 @ ( k4_waybel34 @ sk_ ) @ ( k5_waybel34 @ sk_ ) @ ( u1_functor0 @ ( k4_waybel34 @ sk_ ) @ ( k5_waybel34 @ sk_ ) @ ( k6_waybel34 @ sk_ ) ) @ ( u2_functor0 @ ( k4_waybel34 @ sk_ ) @ ( k5_waybel34 @ sk_ ) @ ( k6_waybel34 @ sk_ ) ) ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl3399,zip_derived_cl3811]) ).

thf(zip_derived_cl4355,plain,
    ( ~ ( l2_altcat_1 @ ( k5_waybel34 @ sk_ ) )
    | ~ ( l1_altcat_1 @ ( k4_waybel34 @ sk_ ) )
    | ( ( k6_waybel34 @ sk_ )
      = ( g2_functor0 @ ( k4_waybel34 @ sk_ ) @ ( k5_waybel34 @ sk_ ) @ ( u1_functor0 @ ( k4_waybel34 @ sk_ ) @ ( k5_waybel34 @ sk_ ) @ ( k6_waybel34 @ sk_ ) ) @ ( u2_functor0 @ ( k4_waybel34 @ sk_ ) @ ( k5_waybel34 @ sk_ ) @ ( k6_waybel34 @ sk_ ) ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl137,zip_derived_cl4354]) ).

thf(zip_derived_cl4382,plain,
    ( ( v1_xboole_0 @ sk_ )
    | ~ ( l1_altcat_1 @ ( k4_waybel34 @ sk_ ) )
    | ( ( k6_waybel34 @ sk_ )
      = ( g2_functor0 @ ( k4_waybel34 @ sk_ ) @ ( k5_waybel34 @ sk_ ) @ ( u1_functor0 @ ( k4_waybel34 @ sk_ ) @ ( k5_waybel34 @ sk_ ) @ ( k6_waybel34 @ sk_ ) ) @ ( u2_functor0 @ ( k4_waybel34 @ sk_ ) @ ( k5_waybel34 @ sk_ ) @ ( k6_waybel34 @ sk_ ) ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl127,zip_derived_cl4355]) ).

thf(zip_derived_cl3225_040,plain,
    ~ ( v1_xboole_0 @ sk_ ),
    inference('dp-resolution',[status(thm)],[zip_derived_cl65,zip_derived_cl0]) ).

thf(zip_derived_cl4383,plain,
    ( ~ ( l1_altcat_1 @ ( k4_waybel34 @ sk_ ) )
    | ( ( k6_waybel34 @ sk_ )
      = ( g2_functor0 @ ( k4_waybel34 @ sk_ ) @ ( k5_waybel34 @ sk_ ) @ ( u1_functor0 @ ( k4_waybel34 @ sk_ ) @ ( k5_waybel34 @ sk_ ) @ ( k6_waybel34 @ sk_ ) ) @ ( u2_functor0 @ ( k4_waybel34 @ sk_ ) @ ( k5_waybel34 @ sk_ ) @ ( k6_waybel34 @ sk_ ) ) ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl4382,zip_derived_cl3225]) ).

thf(zip_derived_cl4386,plain,
    ( ~ ( l2_altcat_1 @ ( k4_waybel34 @ sk_ ) )
    | ( ( k6_waybel34 @ sk_ )
      = ( g2_functor0 @ ( k4_waybel34 @ sk_ ) @ ( k5_waybel34 @ sk_ ) @ ( u1_functor0 @ ( k4_waybel34 @ sk_ ) @ ( k5_waybel34 @ sk_ ) @ ( k6_waybel34 @ sk_ ) ) @ ( u2_functor0 @ ( k4_waybel34 @ sk_ ) @ ( k5_waybel34 @ sk_ ) @ ( k6_waybel34 @ sk_ ) ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl137,zip_derived_cl4383]) ).

thf(zip_derived_cl4411,plain,
    ( ( v1_xboole_0 @ sk_ )
    | ( ( k6_waybel34 @ sk_ )
      = ( g2_functor0 @ ( k4_waybel34 @ sk_ ) @ ( k5_waybel34 @ sk_ ) @ ( u1_functor0 @ ( k4_waybel34 @ sk_ ) @ ( k5_waybel34 @ sk_ ) @ ( k6_waybel34 @ sk_ ) ) @ ( u2_functor0 @ ( k4_waybel34 @ sk_ ) @ ( k5_waybel34 @ sk_ ) @ ( k6_waybel34 @ sk_ ) ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl120,zip_derived_cl4386]) ).

thf(zip_derived_cl3225_041,plain,
    ~ ( v1_xboole_0 @ sk_ ),
    inference('dp-resolution',[status(thm)],[zip_derived_cl65,zip_derived_cl0]) ).

thf(zip_derived_cl4412,plain,
    ( ( k6_waybel34 @ sk_ )
    = ( g2_functor0 @ ( k4_waybel34 @ sk_ ) @ ( k5_waybel34 @ sk_ ) @ ( u1_functor0 @ ( k4_waybel34 @ sk_ ) @ ( k5_waybel34 @ sk_ ) @ ( k6_waybel34 @ sk_ ) ) @ ( u2_functor0 @ ( k4_waybel34 @ sk_ ) @ ( k5_waybel34 @ sk_ ) @ ( k6_waybel34 @ sk_ ) ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl4411,zip_derived_cl3225]) ).

thf(zip_derived_cl5536,plain,
    ( ( ( k13_functor0 @ ( k4_waybel34 @ sk_ ) @ ( k5_waybel34 @ sk_ ) @ ( k4_waybel34 @ sk_ ) @ ( k6_waybel34 @ sk_ ) @ ( k7_waybel34 @ sk_ ) )
      = ( k12_functor0 @ ( k4_waybel34 @ sk_ ) ) )
    | ( ( k6_waybel34 @ sk_ )
     != ( k6_waybel34 @ sk_ ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl5530,zip_derived_cl3811,zip_derived_cl4412]) ).

thf(zip_derived_cl5537,plain,
    ( ( k13_functor0 @ ( k4_waybel34 @ sk_ ) @ ( k5_waybel34 @ sk_ ) @ ( k4_waybel34 @ sk_ ) @ ( k6_waybel34 @ sk_ ) @ ( k7_waybel34 @ sk_ ) )
    = ( k12_functor0 @ ( k4_waybel34 @ sk_ ) ) ),
    inference(simplify,[status(thm)],[zip_derived_cl5536]) ).

thf(zip_derived_cl1,plain,
    ( ( ( k13_functor0 @ ( k5_waybel34 @ sk_ ) @ ( k4_waybel34 @ sk_ ) @ ( k5_waybel34 @ sk_ ) @ ( k7_waybel34 @ sk_ ) @ ( k6_waybel34 @ sk_ ) )
     != ( k12_functor0 @ ( k5_waybel34 @ sk_ ) ) )
    | ( ( k13_functor0 @ ( k4_waybel34 @ sk_ ) @ ( k5_waybel34 @ sk_ ) @ ( k4_waybel34 @ sk_ ) @ ( k6_waybel34 @ sk_ ) @ ( k7_waybel34 @ sk_ ) )
     != ( k12_functor0 @ ( k4_waybel34 @ sk_ ) ) ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl3261_042,plain,
    v8_functor0 @ ( k7_waybel34 @ sk_ ) @ ( k5_waybel34 @ sk_ ) @ ( k4_waybel34 @ sk_ ),
    inference('dp-resolution',[status(thm)],[zip_derived_cl235,zip_derived_cl0]) ).

thf(zip_derived_cl120_043,plain,
    ! [X0: $i] :
      ( ( l2_altcat_1 @ ( k4_waybel34 @ X0 ) )
      | ( v1_xboole_0 @ X0 ) ),
    inference(cnf,[status(esa)],[dt_k4_waybel34]) ).

thf(zip_derived_cl127_044,plain,
    ! [X0: $i] :
      ( ( l2_altcat_1 @ ( k5_waybel34 @ X0 ) )
      | ( v1_xboole_0 @ X0 ) ),
    inference(cnf,[status(esa)],[dt_k5_waybel34]) ).

thf(zip_derived_cl233,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(zip_derived_cl328_045,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( ( v3_struct_0 @ X0 )
      | ~ ( v2_altcat_1 @ X0 )
      | ~ ( v12_altcat_1 @ X0 )
      | ~ ( v1_altcat_2 @ X0 )
      | ~ ( l2_altcat_1 @ X0 )
      | ~ ( v21_functor0 @ X1 @ X2 @ X0 )
      | ~ ( v8_functor0 @ X3 @ X0 @ X2 )
      | ~ ( l2_functor0 @ X3 @ X0 @ X2 )
      | ( ( k13_functor0 @ X0 @ X2 @ X0 @ X3 @ X1 )
        = ( k12_functor0 @ X0 ) )
      | ( ( g2_functor0 @ X0 @ X2 @ ( u1_functor0 @ X0 @ X2 @ X3 ) @ ( u2_functor0 @ X0 @ X2 @ X3 ) )
       != ( k15_functor0 @ X2 @ X0 @ X1 ) )
      | ~ ( l2_functor0 @ X1 @ X2 @ X0 )
      | ~ ( v8_functor0 @ X1 @ X2 @ X0 )
      | ~ ( l2_altcat_1 @ X2 )
      | ~ ( v1_altcat_2 @ X2 )
      | ~ ( v12_altcat_1 @ X2 )
      | ~ ( v2_altcat_1 @ X2 )
      | ( v3_struct_0 @ X2 ) ),
    inference(cnf,[status(esa)],[t21_functor1]) ).

thf(zip_derived_cl2613,plain,
    ! [X0: $i,X1: $i] :
      ( ( v2_setfam_1 @ X0 )
      | ( v3_struct_0 @ ( k4_waybel34 @ X0 ) )
      | ~ ( v2_altcat_1 @ ( k4_waybel34 @ X0 ) )
      | ~ ( v12_altcat_1 @ ( k4_waybel34 @ X0 ) )
      | ~ ( v1_altcat_2 @ ( k4_waybel34 @ X0 ) )
      | ~ ( l2_altcat_1 @ ( k4_waybel34 @ X0 ) )
      | ~ ( v8_functor0 @ ( k6_waybel34 @ X0 ) @ ( k4_waybel34 @ X0 ) @ ( k5_waybel34 @ X0 ) )
      | ~ ( l2_functor0 @ ( k6_waybel34 @ X0 ) @ ( k4_waybel34 @ X0 ) @ ( k5_waybel34 @ X0 ) )
      | ( ( g2_functor0 @ ( k5_waybel34 @ X0 ) @ ( k4_waybel34 @ X0 ) @ ( u1_functor0 @ ( k5_waybel34 @ X0 ) @ ( k4_waybel34 @ X0 ) @ X1 ) @ ( u2_functor0 @ ( k5_waybel34 @ X0 ) @ ( k4_waybel34 @ X0 ) @ X1 ) )
       != ( k15_functor0 @ ( k4_waybel34 @ X0 ) @ ( k5_waybel34 @ X0 ) @ ( k6_waybel34 @ X0 ) ) )
      | ( ( k13_functor0 @ ( k5_waybel34 @ X0 ) @ ( k4_waybel34 @ X0 ) @ ( k5_waybel34 @ X0 ) @ X1 @ ( k6_waybel34 @ X0 ) )
        = ( k12_functor0 @ ( k5_waybel34 @ X0 ) ) )
      | ~ ( l2_functor0 @ X1 @ ( k5_waybel34 @ X0 ) @ ( k4_waybel34 @ X0 ) )
      | ~ ( v8_functor0 @ X1 @ ( k5_waybel34 @ X0 ) @ ( k4_waybel34 @ X0 ) )
      | ~ ( l2_altcat_1 @ ( k5_waybel34 @ X0 ) )
      | ~ ( v1_altcat_2 @ ( k5_waybel34 @ X0 ) )
      | ~ ( v12_altcat_1 @ ( k5_waybel34 @ X0 ) )
      | ~ ( v2_altcat_1 @ ( k5_waybel34 @ X0 ) )
      | ( v3_struct_0 @ ( k5_waybel34 @ X0 ) ) ),
    inference('dp-resolution',[status(thm)],[zip_derived_cl233,zip_derived_cl328]) ).

thf(zip_derived_cl0_046,plain,
    ~ ( v2_setfam_1 @ sk_ ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl3275,plain,
    ! [X0: $i] :
      ( ( v3_struct_0 @ ( k5_waybel34 @ sk_ ) )
      | ~ ( v2_altcat_1 @ ( k5_waybel34 @ sk_ ) )
      | ~ ( v12_altcat_1 @ ( k5_waybel34 @ sk_ ) )
      | ~ ( v1_altcat_2 @ ( k5_waybel34 @ sk_ ) )
      | ~ ( l2_altcat_1 @ ( k5_waybel34 @ sk_ ) )
      | ~ ( v8_functor0 @ X0 @ ( k5_waybel34 @ sk_ ) @ ( k4_waybel34 @ sk_ ) )
      | ~ ( l2_functor0 @ X0 @ ( k5_waybel34 @ sk_ ) @ ( k4_waybel34 @ sk_ ) )
      | ( ( k13_functor0 @ ( k5_waybel34 @ sk_ ) @ ( k4_waybel34 @ sk_ ) @ ( k5_waybel34 @ sk_ ) @ X0 @ ( k6_waybel34 @ sk_ ) )
        = ( k12_functor0 @ ( k5_waybel34 @ sk_ ) ) )
      | ( ( g2_functor0 @ ( k5_waybel34 @ sk_ ) @ ( k4_waybel34 @ sk_ ) @ ( u1_functor0 @ ( k5_waybel34 @ sk_ ) @ ( k4_waybel34 @ sk_ ) @ X0 ) @ ( u2_functor0 @ ( k5_waybel34 @ sk_ ) @ ( k4_waybel34 @ sk_ ) @ X0 ) )
       != ( k15_functor0 @ ( k4_waybel34 @ sk_ ) @ ( k5_waybel34 @ sk_ ) @ ( k6_waybel34 @ sk_ ) ) )
      | ~ ( l2_functor0 @ ( k6_waybel34 @ sk_ ) @ ( k4_waybel34 @ sk_ ) @ ( k5_waybel34 @ sk_ ) )
      | ~ ( v8_functor0 @ ( k6_waybel34 @ sk_ ) @ ( k4_waybel34 @ sk_ ) @ ( k5_waybel34 @ sk_ ) )
      | ~ ( l2_altcat_1 @ ( k4_waybel34 @ sk_ ) )
      | ~ ( v1_altcat_2 @ ( k4_waybel34 @ sk_ ) )
      | ~ ( v12_altcat_1 @ ( k4_waybel34 @ sk_ ) )
      | ~ ( v2_altcat_1 @ ( k4_waybel34 @ sk_ ) )
      | ( v3_struct_0 @ ( k4_waybel34 @ sk_ ) ) ),
    inference('dp-resolution',[status(thm)],[zip_derived_cl2613,zip_derived_cl0]) ).

thf(zip_derived_cl3241_047,plain,
    ~ ( v3_struct_0 @ ( k5_waybel34 @ sk_ ) ),
    inference('dp-resolution',[status(thm)],[zip_derived_cl210,zip_derived_cl0]) ).

thf(zip_derived_cl3243_048,plain,
    v2_altcat_1 @ ( k5_waybel34 @ sk_ ),
    inference('dp-resolution',[status(thm)],[zip_derived_cl211,zip_derived_cl0]) ).

thf(zip_derived_cl3247_049,plain,
    v12_altcat_1 @ ( k5_waybel34 @ sk_ ),
    inference('dp-resolution',[status(thm)],[zip_derived_cl215,zip_derived_cl0]) ).

thf(zip_derived_cl3249_050,plain,
    v1_altcat_2 @ ( k5_waybel34 @ sk_ ),
    inference('dp-resolution',[status(thm)],[zip_derived_cl216,zip_derived_cl0]) ).

thf(zip_derived_cl325,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_cl0_051,plain,
    ~ ( v2_setfam_1 @ sk_ ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl3271,plain,
    ( ( k15_functor0 @ ( k4_waybel34 @ sk_ ) @ ( k5_waybel34 @ sk_ ) @ ( k6_waybel34 @ sk_ ) )
    = ( k7_waybel34 @ sk_ ) ),
    inference('dp-resolution',[status(thm)],[zip_derived_cl325,zip_derived_cl0]) ).

thf(zip_derived_cl3811_052,plain,
    l2_functor0 @ ( k6_waybel34 @ sk_ ) @ ( k4_waybel34 @ sk_ ) @ ( k5_waybel34 @ sk_ ),
    inference(demod,[status(thm)],[zip_derived_cl3810,zip_derived_cl3225]) ).

thf(zip_derived_cl3253_053,plain,
    v8_functor0 @ ( k6_waybel34 @ sk_ ) @ ( k4_waybel34 @ sk_ ) @ ( k5_waybel34 @ sk_ ),
    inference('dp-resolution',[status(thm)],[zip_derived_cl227,zip_derived_cl0]) ).

thf(zip_derived_cl3239_054,plain,
    v1_altcat_2 @ ( k4_waybel34 @ sk_ ),
    inference('dp-resolution',[status(thm)],[zip_derived_cl197,zip_derived_cl0]) ).

thf(zip_derived_cl3237_055,plain,
    v12_altcat_1 @ ( k4_waybel34 @ sk_ ),
    inference('dp-resolution',[status(thm)],[zip_derived_cl196,zip_derived_cl0]) ).

thf(zip_derived_cl3233_056,plain,
    v2_altcat_1 @ ( k4_waybel34 @ sk_ ),
    inference('dp-resolution',[status(thm)],[zip_derived_cl192,zip_derived_cl0]) ).

thf(zip_derived_cl3231_057,plain,
    ~ ( v3_struct_0 @ ( k4_waybel34 @ sk_ ) ),
    inference('dp-resolution',[status(thm)],[zip_derived_cl191,zip_derived_cl0]) ).

thf(zip_derived_cl5020,plain,
    ! [X0: $i] :
      ( ~ ( l2_altcat_1 @ ( k5_waybel34 @ sk_ ) )
      | ~ ( v8_functor0 @ X0 @ ( k5_waybel34 @ sk_ ) @ ( k4_waybel34 @ sk_ ) )
      | ~ ( l2_functor0 @ X0 @ ( k5_waybel34 @ sk_ ) @ ( k4_waybel34 @ sk_ ) )
      | ( ( k13_functor0 @ ( k5_waybel34 @ sk_ ) @ ( k4_waybel34 @ sk_ ) @ ( k5_waybel34 @ sk_ ) @ X0 @ ( k6_waybel34 @ sk_ ) )
        = ( k12_functor0 @ ( k5_waybel34 @ sk_ ) ) )
      | ( ( g2_functor0 @ ( k5_waybel34 @ sk_ ) @ ( k4_waybel34 @ sk_ ) @ ( u1_functor0 @ ( k5_waybel34 @ sk_ ) @ ( k4_waybel34 @ sk_ ) @ X0 ) @ ( u2_functor0 @ ( k5_waybel34 @ sk_ ) @ ( k4_waybel34 @ sk_ ) @ X0 ) )
       != ( k7_waybel34 @ sk_ ) )
      | ~ ( l2_altcat_1 @ ( k4_waybel34 @ sk_ ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl3275,zip_derived_cl3241,zip_derived_cl3243,zip_derived_cl3247,zip_derived_cl3249,zip_derived_cl3271,zip_derived_cl3811,zip_derived_cl3253,zip_derived_cl3239,zip_derived_cl3237,zip_derived_cl3233,zip_derived_cl3231]) ).

thf(zip_derived_cl5021,plain,
    ! [X0: $i] :
      ( ( v1_xboole_0 @ sk_ )
      | ~ ( v8_functor0 @ X0 @ ( k5_waybel34 @ sk_ ) @ ( k4_waybel34 @ sk_ ) )
      | ~ ( l2_functor0 @ X0 @ ( k5_waybel34 @ sk_ ) @ ( k4_waybel34 @ sk_ ) )
      | ( ( k13_functor0 @ ( k5_waybel34 @ sk_ ) @ ( k4_waybel34 @ sk_ ) @ ( k5_waybel34 @ sk_ ) @ X0 @ ( k6_waybel34 @ sk_ ) )
        = ( k12_functor0 @ ( k5_waybel34 @ sk_ ) ) )
      | ( ( g2_functor0 @ ( k5_waybel34 @ sk_ ) @ ( k4_waybel34 @ sk_ ) @ ( u1_functor0 @ ( k5_waybel34 @ sk_ ) @ ( k4_waybel34 @ sk_ ) @ X0 ) @ ( u2_functor0 @ ( k5_waybel34 @ sk_ ) @ ( k4_waybel34 @ sk_ ) @ X0 ) )
       != ( k7_waybel34 @ sk_ ) )
      | ~ ( l2_altcat_1 @ ( k4_waybel34 @ sk_ ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl127,zip_derived_cl5020]) ).

thf(zip_derived_cl3225_058,plain,
    ~ ( v1_xboole_0 @ sk_ ),
    inference('dp-resolution',[status(thm)],[zip_derived_cl65,zip_derived_cl0]) ).

thf(zip_derived_cl5022,plain,
    ! [X0: $i] :
      ( ~ ( v8_functor0 @ X0 @ ( k5_waybel34 @ sk_ ) @ ( k4_waybel34 @ sk_ ) )
      | ~ ( l2_functor0 @ X0 @ ( k5_waybel34 @ sk_ ) @ ( k4_waybel34 @ sk_ ) )
      | ( ( k13_functor0 @ ( k5_waybel34 @ sk_ ) @ ( k4_waybel34 @ sk_ ) @ ( k5_waybel34 @ sk_ ) @ X0 @ ( k6_waybel34 @ sk_ ) )
        = ( k12_functor0 @ ( k5_waybel34 @ sk_ ) ) )
      | ( ( g2_functor0 @ ( k5_waybel34 @ sk_ ) @ ( k4_waybel34 @ sk_ ) @ ( u1_functor0 @ ( k5_waybel34 @ sk_ ) @ ( k4_waybel34 @ sk_ ) @ X0 ) @ ( u2_functor0 @ ( k5_waybel34 @ sk_ ) @ ( k4_waybel34 @ sk_ ) @ X0 ) )
       != ( k7_waybel34 @ sk_ ) )
      | ~ ( l2_altcat_1 @ ( k4_waybel34 @ sk_ ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl5021,zip_derived_cl3225]) ).

thf(zip_derived_cl5039,plain,
    ! [X0: $i] :
      ( ( v1_xboole_0 @ sk_ )
      | ~ ( v8_functor0 @ X0 @ ( k5_waybel34 @ sk_ ) @ ( k4_waybel34 @ sk_ ) )
      | ~ ( l2_functor0 @ X0 @ ( k5_waybel34 @ sk_ ) @ ( k4_waybel34 @ sk_ ) )
      | ( ( k13_functor0 @ ( k5_waybel34 @ sk_ ) @ ( k4_waybel34 @ sk_ ) @ ( k5_waybel34 @ sk_ ) @ X0 @ ( k6_waybel34 @ sk_ ) )
        = ( k12_functor0 @ ( k5_waybel34 @ sk_ ) ) )
      | ( ( g2_functor0 @ ( k5_waybel34 @ sk_ ) @ ( k4_waybel34 @ sk_ ) @ ( u1_functor0 @ ( k5_waybel34 @ sk_ ) @ ( k4_waybel34 @ sk_ ) @ X0 ) @ ( u2_functor0 @ ( k5_waybel34 @ sk_ ) @ ( k4_waybel34 @ sk_ ) @ X0 ) )
       != ( k7_waybel34 @ sk_ ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl120,zip_derived_cl5022]) ).

thf(zip_derived_cl3225_059,plain,
    ~ ( v1_xboole_0 @ sk_ ),
    inference('dp-resolution',[status(thm)],[zip_derived_cl65,zip_derived_cl0]) ).

thf(zip_derived_cl5040,plain,
    ! [X0: $i] :
      ( ~ ( v8_functor0 @ X0 @ ( k5_waybel34 @ sk_ ) @ ( k4_waybel34 @ sk_ ) )
      | ~ ( l2_functor0 @ X0 @ ( k5_waybel34 @ sk_ ) @ ( k4_waybel34 @ sk_ ) )
      | ( ( k13_functor0 @ ( k5_waybel34 @ sk_ ) @ ( k4_waybel34 @ sk_ ) @ ( k5_waybel34 @ sk_ ) @ X0 @ ( k6_waybel34 @ sk_ ) )
        = ( k12_functor0 @ ( k5_waybel34 @ sk_ ) ) )
      | ( ( g2_functor0 @ ( k5_waybel34 @ sk_ ) @ ( k4_waybel34 @ sk_ ) @ ( u1_functor0 @ ( k5_waybel34 @ sk_ ) @ ( k4_waybel34 @ sk_ ) @ X0 ) @ ( u2_functor0 @ ( k5_waybel34 @ sk_ ) @ ( k4_waybel34 @ sk_ ) @ X0 ) )
       != ( k7_waybel34 @ sk_ ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl5039,zip_derived_cl3225]) ).

thf(zip_derived_cl5083,plain,
    ( ~ ( l2_functor0 @ ( k7_waybel34 @ sk_ ) @ ( k5_waybel34 @ sk_ ) @ ( k4_waybel34 @ sk_ ) )
    | ( ( k13_functor0 @ ( k5_waybel34 @ sk_ ) @ ( k4_waybel34 @ sk_ ) @ ( k5_waybel34 @ sk_ ) @ ( k7_waybel34 @ sk_ ) @ ( k6_waybel34 @ sk_ ) )
      = ( k12_functor0 @ ( k5_waybel34 @ sk_ ) ) )
    | ( ( g2_functor0 @ ( k5_waybel34 @ sk_ ) @ ( k4_waybel34 @ sk_ ) @ ( u1_functor0 @ ( k5_waybel34 @ sk_ ) @ ( k4_waybel34 @ sk_ ) @ ( k7_waybel34 @ sk_ ) ) @ ( u2_functor0 @ ( k5_waybel34 @ sk_ ) @ ( k4_waybel34 @ sk_ ) @ ( k7_waybel34 @ sk_ ) ) )
     != ( k7_waybel34 @ sk_ ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl3261,zip_derived_cl5040]) ).

thf(zip_derived_cl3885_060,plain,
    l2_functor0 @ ( k7_waybel34 @ sk_ ) @ ( k5_waybel34 @ sk_ ) @ ( k4_waybel34 @ sk_ ),
    inference(demod,[status(thm)],[zip_derived_cl3884,zip_derived_cl3225]) ).

thf(zip_derived_cl127_061,plain,
    ! [X0: $i] :
      ( ( l2_altcat_1 @ ( k5_waybel34 @ X0 ) )
      | ( v1_xboole_0 @ X0 ) ),
    inference(cnf,[status(esa)],[dt_k5_waybel34]) ).

thf(zip_derived_cl137_062,plain,
    ! [X0: $i] :
      ( ( l1_altcat_1 @ X0 )
      | ~ ( l2_altcat_1 @ X0 ) ),
    inference(cnf,[status(esa)],[dt_l2_altcat_1]) ).

thf(zip_derived_cl120_063,plain,
    ! [X0: $i] :
      ( ( l2_altcat_1 @ ( k4_waybel34 @ X0 ) )
      | ( v1_xboole_0 @ X0 ) ),
    inference(cnf,[status(esa)],[dt_k4_waybel34]) ).

thf(zip_derived_cl137_064,plain,
    ! [X0: $i] :
      ( ( l1_altcat_1 @ X0 )
      | ~ ( l2_altcat_1 @ X0 ) ),
    inference(cnf,[status(esa)],[dt_l2_altcat_1]) ).

thf(zip_derived_cl131,plain,
    ! [X0: $i] :
      ( ( v9_functor0 @ ( k7_waybel34 @ X0 ) @ ( k5_waybel34 @ X0 ) @ ( k4_waybel34 @ X0 ) )
      | ( v2_setfam_1 @ X0 ) ),
    inference(cnf,[status(esa)],[dt_k7_waybel34]) ).

thf(zip_derived_cl3_065,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ~ ( l1_altcat_1 @ X0 )
      | ~ ( l1_altcat_1 @ X1 )
      | ~ ( l2_functor0 @ X2 @ X1 @ X0 )
      | ( X2
        = ( g2_functor0 @ X1 @ X0 @ ( u1_functor0 @ X1 @ X0 @ X2 ) @ ( u2_functor0 @ X1 @ X0 @ X2 ) ) )
      | ~ ( v9_functor0 @ X2 @ X1 @ X0 ) ),
    inference(cnf,[status(esa)],[abstractness_v9_functor0]) ).

thf(zip_derived_cl2990,plain,
    ! [X0: $i] :
      ( ( v2_setfam_1 @ X0 )
      | ( ( k7_waybel34 @ X0 )
        = ( g2_functor0 @ ( k5_waybel34 @ X0 ) @ ( k4_waybel34 @ X0 ) @ ( u1_functor0 @ ( k5_waybel34 @ X0 ) @ ( k4_waybel34 @ X0 ) @ ( k7_waybel34 @ X0 ) ) @ ( u2_functor0 @ ( k5_waybel34 @ X0 ) @ ( k4_waybel34 @ X0 ) @ ( k7_waybel34 @ X0 ) ) ) )
      | ~ ( l2_functor0 @ ( k7_waybel34 @ X0 ) @ ( k5_waybel34 @ X0 ) @ ( k4_waybel34 @ X0 ) )
      | ~ ( l1_altcat_1 @ ( k5_waybel34 @ X0 ) )
      | ~ ( l1_altcat_1 @ ( k4_waybel34 @ X0 ) ) ),
    inference('dp-resolution',[status(thm)],[zip_derived_cl131,zip_derived_cl3]) ).

thf(zip_derived_cl0_066,plain,
    ~ ( v2_setfam_1 @ sk_ ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl3401,plain,
    ( ~ ( l1_altcat_1 @ ( k4_waybel34 @ sk_ ) )
    | ~ ( l1_altcat_1 @ ( k5_waybel34 @ sk_ ) )
    | ~ ( l2_functor0 @ ( k7_waybel34 @ sk_ ) @ ( k5_waybel34 @ sk_ ) @ ( k4_waybel34 @ sk_ ) )
    | ( ( k7_waybel34 @ sk_ )
      = ( g2_functor0 @ ( k5_waybel34 @ sk_ ) @ ( k4_waybel34 @ sk_ ) @ ( u1_functor0 @ ( k5_waybel34 @ sk_ ) @ ( k4_waybel34 @ sk_ ) @ ( k7_waybel34 @ sk_ ) ) @ ( u2_functor0 @ ( k5_waybel34 @ sk_ ) @ ( k4_waybel34 @ sk_ ) @ ( k7_waybel34 @ sk_ ) ) ) ) ),
    inference('dp-resolution',[status(thm)],[zip_derived_cl2990,zip_derived_cl0]) ).

thf(zip_derived_cl3885_067,plain,
    l2_functor0 @ ( k7_waybel34 @ sk_ ) @ ( k5_waybel34 @ sk_ ) @ ( k4_waybel34 @ sk_ ),
    inference(demod,[status(thm)],[zip_derived_cl3884,zip_derived_cl3225]) ).

thf(zip_derived_cl4546,plain,
    ( ~ ( l1_altcat_1 @ ( k4_waybel34 @ sk_ ) )
    | ~ ( l1_altcat_1 @ ( k5_waybel34 @ sk_ ) )
    | ( ( k7_waybel34 @ sk_ )
      = ( g2_functor0 @ ( k5_waybel34 @ sk_ ) @ ( k4_waybel34 @ sk_ ) @ ( u1_functor0 @ ( k5_waybel34 @ sk_ ) @ ( k4_waybel34 @ sk_ ) @ ( k7_waybel34 @ sk_ ) ) @ ( u2_functor0 @ ( k5_waybel34 @ sk_ ) @ ( k4_waybel34 @ sk_ ) @ ( k7_waybel34 @ sk_ ) ) ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl3401,zip_derived_cl3885]) ).

thf(zip_derived_cl4547,plain,
    ( ~ ( l2_altcat_1 @ ( k4_waybel34 @ sk_ ) )
    | ~ ( l1_altcat_1 @ ( k5_waybel34 @ sk_ ) )
    | ( ( k7_waybel34 @ sk_ )
      = ( g2_functor0 @ ( k5_waybel34 @ sk_ ) @ ( k4_waybel34 @ sk_ ) @ ( u1_functor0 @ ( k5_waybel34 @ sk_ ) @ ( k4_waybel34 @ sk_ ) @ ( k7_waybel34 @ sk_ ) ) @ ( u2_functor0 @ ( k5_waybel34 @ sk_ ) @ ( k4_waybel34 @ sk_ ) @ ( k7_waybel34 @ sk_ ) ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl137,zip_derived_cl4546]) ).

thf(zip_derived_cl4568,plain,
    ( ( v1_xboole_0 @ sk_ )
    | ~ ( l1_altcat_1 @ ( k5_waybel34 @ sk_ ) )
    | ( ( k7_waybel34 @ sk_ )
      = ( g2_functor0 @ ( k5_waybel34 @ sk_ ) @ ( k4_waybel34 @ sk_ ) @ ( u1_functor0 @ ( k5_waybel34 @ sk_ ) @ ( k4_waybel34 @ sk_ ) @ ( k7_waybel34 @ sk_ ) ) @ ( u2_functor0 @ ( k5_waybel34 @ sk_ ) @ ( k4_waybel34 @ sk_ ) @ ( k7_waybel34 @ sk_ ) ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl120,zip_derived_cl4547]) ).

thf(zip_derived_cl3225_068,plain,
    ~ ( v1_xboole_0 @ sk_ ),
    inference('dp-resolution',[status(thm)],[zip_derived_cl65,zip_derived_cl0]) ).

thf(zip_derived_cl4569,plain,
    ( ~ ( l1_altcat_1 @ ( k5_waybel34 @ sk_ ) )
    | ( ( k7_waybel34 @ sk_ )
      = ( g2_functor0 @ ( k5_waybel34 @ sk_ ) @ ( k4_waybel34 @ sk_ ) @ ( u1_functor0 @ ( k5_waybel34 @ sk_ ) @ ( k4_waybel34 @ sk_ ) @ ( k7_waybel34 @ sk_ ) ) @ ( u2_functor0 @ ( k5_waybel34 @ sk_ ) @ ( k4_waybel34 @ sk_ ) @ ( k7_waybel34 @ sk_ ) ) ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl4568,zip_derived_cl3225]) ).

thf(zip_derived_cl4571,plain,
    ( ~ ( l2_altcat_1 @ ( k5_waybel34 @ sk_ ) )
    | ( ( k7_waybel34 @ sk_ )
      = ( g2_functor0 @ ( k5_waybel34 @ sk_ ) @ ( k4_waybel34 @ sk_ ) @ ( u1_functor0 @ ( k5_waybel34 @ sk_ ) @ ( k4_waybel34 @ sk_ ) @ ( k7_waybel34 @ sk_ ) ) @ ( u2_functor0 @ ( k5_waybel34 @ sk_ ) @ ( k4_waybel34 @ sk_ ) @ ( k7_waybel34 @ sk_ ) ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl137,zip_derived_cl4569]) ).

thf(zip_derived_cl4577,plain,
    ( ( v1_xboole_0 @ sk_ )
    | ( ( k7_waybel34 @ sk_ )
      = ( g2_functor0 @ ( k5_waybel34 @ sk_ ) @ ( k4_waybel34 @ sk_ ) @ ( u1_functor0 @ ( k5_waybel34 @ sk_ ) @ ( k4_waybel34 @ sk_ ) @ ( k7_waybel34 @ sk_ ) ) @ ( u2_functor0 @ ( k5_waybel34 @ sk_ ) @ ( k4_waybel34 @ sk_ ) @ ( k7_waybel34 @ sk_ ) ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl127,zip_derived_cl4571]) ).

thf(zip_derived_cl3225_069,plain,
    ~ ( v1_xboole_0 @ sk_ ),
    inference('dp-resolution',[status(thm)],[zip_derived_cl65,zip_derived_cl0]) ).

thf(zip_derived_cl4578,plain,
    ( ( k7_waybel34 @ sk_ )
    = ( g2_functor0 @ ( k5_waybel34 @ sk_ ) @ ( k4_waybel34 @ sk_ ) @ ( u1_functor0 @ ( k5_waybel34 @ sk_ ) @ ( k4_waybel34 @ sk_ ) @ ( k7_waybel34 @ sk_ ) ) @ ( u2_functor0 @ ( k5_waybel34 @ sk_ ) @ ( k4_waybel34 @ sk_ ) @ ( k7_waybel34 @ sk_ ) ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl4577,zip_derived_cl3225]) ).

thf(zip_derived_cl5089,plain,
    ( ( ( k13_functor0 @ ( k5_waybel34 @ sk_ ) @ ( k4_waybel34 @ sk_ ) @ ( k5_waybel34 @ sk_ ) @ ( k7_waybel34 @ sk_ ) @ ( k6_waybel34 @ sk_ ) )
      = ( k12_functor0 @ ( k5_waybel34 @ sk_ ) ) )
    | ( ( k7_waybel34 @ sk_ )
     != ( k7_waybel34 @ sk_ ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl5083,zip_derived_cl3885,zip_derived_cl4578]) ).

thf(zip_derived_cl5090,plain,
    ( ( k13_functor0 @ ( k5_waybel34 @ sk_ ) @ ( k4_waybel34 @ sk_ ) @ ( k5_waybel34 @ sk_ ) @ ( k7_waybel34 @ sk_ ) @ ( k6_waybel34 @ sk_ ) )
    = ( k12_functor0 @ ( k5_waybel34 @ sk_ ) ) ),
    inference(simplify,[status(thm)],[zip_derived_cl5089]) ).

thf(zip_derived_cl5097,plain,
    ( ( ( k12_functor0 @ ( k5_waybel34 @ sk_ ) )
     != ( k12_functor0 @ ( k5_waybel34 @ sk_ ) ) )
    | ( ( k13_functor0 @ ( k4_waybel34 @ sk_ ) @ ( k5_waybel34 @ sk_ ) @ ( k4_waybel34 @ sk_ ) @ ( k6_waybel34 @ sk_ ) @ ( k7_waybel34 @ sk_ ) )
     != ( k12_functor0 @ ( k4_waybel34 @ sk_ ) ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl1,zip_derived_cl5090]) ).

thf(zip_derived_cl5098,plain,
    ( ( k13_functor0 @ ( k4_waybel34 @ sk_ ) @ ( k5_waybel34 @ sk_ ) @ ( k4_waybel34 @ sk_ ) @ ( k6_waybel34 @ sk_ ) @ ( k7_waybel34 @ sk_ ) )
   != ( k12_functor0 @ ( k4_waybel34 @ sk_ ) ) ),
    inference(simplify,[status(thm)],[zip_derived_cl5097]) ).

thf(zip_derived_cl5538,plain,
    $false,
    inference('simplify_reflect-',[status(thm)],[zip_derived_cl5537,zip_derived_cl5098]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem  : LAT361+1 : TPTP v8.1.2. Released v3.4.0.
% 0.00/0.13  % Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.QRUeMS3Da6 true
% 0.13/0.34  % Computer : n011.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34  % CPULimit : 300
% 0.13/0.34  % WCLimit  : 300
% 0.13/0.34  % DateTime : Thu Aug 24 07:39:52 EDT 2023
% 0.13/0.34  % CPUTime  : 
% 0.13/0.34  % Running portfolio for 300 s
% 0.13/0.34  % File         : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.13/0.34  % Number of cores: 8
% 0.13/0.34  % Python version: Python 3.6.8
% 0.13/0.35  % Running in FO mode
% 0.19/0.63  % Total configuration time : 435
% 0.19/0.63  % Estimated wc time : 1092
% 0.19/0.63  % Estimated cpu time (7 cpus) : 156.0
% 0.19/0.71  % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.19/0.71  % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.19/0.73  % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.19/0.73  % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.19/0.74  % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 0.19/0.74  % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.19/0.74  % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.95/0.82  % /export/starexec/sandbox2/solver/bin/fo/fo1_lcnf.sh running for 50s
% 10.14/2.20  % Solved by fo/fo6_bce.sh.
% 10.14/2.20  % BCE start: 337
% 10.14/2.20  % BCE eliminated: 73
% 10.14/2.20  % PE start: 264
% 10.14/2.20  logic: eq
% 10.14/2.20  % PE eliminated: -129
% 10.14/2.20  % done 711 iterations in 1.436s
% 10.14/2.20  % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 10.14/2.20  % SZS output start Refutation
% See solution above
% 10.14/2.20  
% 10.14/2.20  
% 10.14/2.20  % Terminating...
% 10.14/2.25  % Runner terminated.
% 10.91/2.26  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------