TSTP Solution File: GRP631+1 by Zipperpin---2.1.9999

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : GRP631+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.qWD6qsHilj true

% Computer : n007.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 01:52:29 EDT 2023

% Result   : Theorem 3.51s 1.09s
% Output   : Refutation 3.51s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   28
%            Number of leaves      :   39
% Syntax   : Number of formulae    :  164 (  45 unt;  25 typ;   0 def)
%            Number of atoms       :  479 (  49 equ;   0 cnn)
%            Maximal formula atoms :   13 (   3 avg)
%            Number of connectives : 2147 ( 248   ~; 283   |;  39   &;1559   @)
%                                         (   1 <=>;  17  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   19 (   8 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :   48 (  48   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   27 (  25 usr;   3 con; 0-6 aty)
%            Number of variables   :  149 (   0   ^; 149   !;   0   ?; 149   :)

% Comments : 
%------------------------------------------------------------------------------
thf(v4_group_1_type,type,
    v4_group_1: $i > $o ).

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

thf(k7_funct_2_type,type,
    k7_funct_2: $i > $i > $i > $i > $i > $i ).

thf(k5_relat_1_type,type,
    k5_relat_1: $i > $i > $i ).

thf(m2_fraenkel_type,type,
    m2_fraenkel: $i > $i > $i > $i > $o ).

thf(l1_group_1_type,type,
    l1_group_1: $i > $o ).

thf(k6_partfun1_type,type,
    k6_partfun1: $i > $i ).

thf(sk__20_type,type,
    sk__20: $i ).

thf(k4_autgroup_type,type,
    k4_autgroup: $i > $i ).

thf(v1_group_1_type,type,
    v1_group_1: $i > $o ).

thf(k6_autgroup_type,type,
    k6_autgroup: $i > $i > $i ).

thf(m1_fraenkel_type,type,
    m1_fraenkel: $i > $i > $i > $o ).

thf(m2_relset_1_type,type,
    m2_relset_1: $i > $i > $i > $o ).

thf(m1_relset_1_type,type,
    m1_relset_1: $i > $i > $i > $o ).

thf(l1_struct_0_type,type,
    l1_struct_0: $i > $o ).

thf(sk__21_type,type,
    sk__21: $i ).

thf(m1_subset_1_type,type,
    m1_subset_1: $i > $i > $o ).

thf(v1_funct_1_type,type,
    v1_funct_1: $i > $o ).

thf(v3_group_1_type,type,
    v3_group_1: $i > $o ).

thf(v1_partfun1_type,type,
    v1_partfun1: $i > $i > $i > $o ).

thf(v1_funct_2_type,type,
    v1_funct_2: $i > $i > $i > $o ).

thf(u1_struct_0_type,type,
    u1_struct_0: $i > $i ).

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

thf(k2_group_1_type,type,
    k2_group_1: $i > $i ).

thf(k7_relset_1_type,type,
    k7_relset_1: $i > $i > $i > $i > $i > $i > $i ).

thf(dt_l1_group_1,axiom,
    ! [A: $i] :
      ( ( l1_group_1 @ A )
     => ( l1_struct_0 @ A ) ) ).

thf(zip_derived_cl30,plain,
    ! [X0: $i] :
      ( ( l1_struct_0 @ X0 )
      | ~ ( l1_group_1 @ X0 ) ),
    inference(cnf,[status(esa)],[dt_l1_group_1]) ).

thf(fc1_struct_0,axiom,
    ! [A: $i] :
      ( ( ~ ( v3_struct_0 @ A )
        & ( l1_struct_0 @ A ) )
     => ~ ( v1_xboole_0 @ ( u1_struct_0 @ A ) ) ) ).

thf(zip_derived_cl51,plain,
    ! [X0: $i] :
      ( ~ ( v1_xboole_0 @ ( u1_struct_0 @ X0 ) )
      | ~ ( l1_struct_0 @ X0 )
      | ( v3_struct_0 @ X0 ) ),
    inference(cnf,[status(esa)],[fc1_struct_0]) ).

thf(zip_derived_cl683,plain,
    ! [X0: $i] :
      ( ~ ( l1_group_1 @ X0 )
      | ( v3_struct_0 @ X0 )
      | ~ ( v1_xboole_0 @ ( u1_struct_0 @ X0 ) ) ),
    inference('dp-resolution',[status(thm)],[zip_derived_cl30,zip_derived_cl51]) ).

thf(t29_autgroup,conjecture,
    ! [A: $i] :
      ( ( ~ ( v3_struct_0 @ A )
        & ( v1_group_1 @ A )
        & ( v3_group_1 @ A )
        & ( v4_group_1 @ A )
        & ( l1_group_1 @ A ) )
     => ! [B: $i] :
          ( ( m1_subset_1 @ B @ ( u1_struct_0 @ A ) )
         => ( ( ( k7_funct_2 @ ( u1_struct_0 @ A ) @ ( u1_struct_0 @ A ) @ ( u1_struct_0 @ A ) @ ( k6_autgroup @ A @ ( k2_group_1 @ A ) ) @ ( k6_autgroup @ A @ B ) )
              = ( k6_autgroup @ A @ B ) )
            & ( ( k7_funct_2 @ ( u1_struct_0 @ A ) @ ( u1_struct_0 @ A ) @ ( u1_struct_0 @ A ) @ ( k6_autgroup @ A @ B ) @ ( k6_autgroup @ A @ ( k2_group_1 @ A ) ) )
              = ( k6_autgroup @ A @ B ) ) ) ) ) ).

thf(zf_stmt_0,negated_conjecture,
    ~ ! [A: $i] :
        ( ( ~ ( v3_struct_0 @ A )
          & ( v1_group_1 @ A )
          & ( v3_group_1 @ A )
          & ( v4_group_1 @ A )
          & ( l1_group_1 @ A ) )
       => ! [B: $i] :
            ( ( m1_subset_1 @ B @ ( u1_struct_0 @ A ) )
           => ( ( ( k7_funct_2 @ ( u1_struct_0 @ A ) @ ( u1_struct_0 @ A ) @ ( u1_struct_0 @ A ) @ ( k6_autgroup @ A @ ( k2_group_1 @ A ) ) @ ( k6_autgroup @ A @ B ) )
                = ( k6_autgroup @ A @ B ) )
              & ( ( k7_funct_2 @ ( u1_struct_0 @ A ) @ ( u1_struct_0 @ A ) @ ( u1_struct_0 @ A ) @ ( k6_autgroup @ A @ B ) @ ( k6_autgroup @ A @ ( k2_group_1 @ A ) ) )
                = ( k6_autgroup @ A @ B ) ) ) ) ),
    inference('cnf.neg',[status(esa)],[t29_autgroup]) ).

thf(zip_derived_cl110,plain,
    v3_group_1 @ sk__20,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl111,plain,
    v4_group_1 @ sk__20,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(dt_k6_autgroup,axiom,
    ! [A: $i,B: $i] :
      ( ( ~ ( v3_struct_0 @ A )
        & ( v1_group_1 @ A )
        & ( v3_group_1 @ A )
        & ( v4_group_1 @ A )
        & ( l1_group_1 @ A )
        & ( m1_subset_1 @ B @ ( u1_struct_0 @ A ) ) )
     => ( m2_fraenkel @ ( k6_autgroup @ A @ B ) @ ( u1_struct_0 @ A ) @ ( u1_struct_0 @ A ) @ ( k4_autgroup @ A ) ) ) ).

thf(zip_derived_cl23,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( l1_group_1 @ X0 )
      | ~ ( v4_group_1 @ X0 )
      | ~ ( v3_group_1 @ X0 )
      | ~ ( v1_group_1 @ X0 )
      | ( v3_struct_0 @ X0 )
      | ~ ( m1_subset_1 @ X1 @ ( u1_struct_0 @ X0 ) )
      | ( m2_fraenkel @ ( k6_autgroup @ X0 @ X1 ) @ ( u1_struct_0 @ X0 ) @ ( u1_struct_0 @ X0 ) @ ( k4_autgroup @ X0 ) ) ),
    inference(cnf,[status(esa)],[dt_k6_autgroup]) ).

thf(zip_derived_cl681,plain,
    ! [X0: $i] :
      ( ( m2_fraenkel @ ( k6_autgroup @ sk__20 @ X0 ) @ ( u1_struct_0 @ sk__20 ) @ ( u1_struct_0 @ sk__20 ) @ ( k4_autgroup @ sk__20 ) )
      | ~ ( m1_subset_1 @ X0 @ ( u1_struct_0 @ sk__20 ) )
      | ( v3_struct_0 @ sk__20 )
      | ~ ( v1_group_1 @ sk__20 )
      | ~ ( v3_group_1 @ sk__20 )
      | ~ ( l1_group_1 @ sk__20 ) ),
    inference('dp-resolution',[status(thm)],[zip_derived_cl111,zip_derived_cl23]) ).

thf(dt_m2_fraenkel,axiom,
    ! [A: $i,B: $i,C: $i] :
      ( ( ~ ( v1_xboole_0 @ B )
        & ( m1_fraenkel @ C @ A @ B ) )
     => ! [D: $i] :
          ( ( m2_fraenkel @ D @ A @ B @ C )
         => ( ( v1_funct_1 @ D )
            & ( v1_funct_2 @ D @ A @ B )
            & ( m2_relset_1 @ D @ A @ B ) ) ) ) ).

thf(zip_derived_cl33,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( ( v1_xboole_0 @ X0 )
      | ~ ( m1_fraenkel @ X1 @ X2 @ X0 )
      | ( v1_funct_1 @ X3 )
      | ~ ( m2_fraenkel @ X3 @ X2 @ X0 @ X1 ) ),
    inference(cnf,[status(esa)],[dt_m2_fraenkel]) ).

thf(zip_derived_cl704,plain,
    ! [X0: $i] :
      ( ~ ( l1_group_1 @ sk__20 )
      | ~ ( v3_group_1 @ sk__20 )
      | ~ ( v1_group_1 @ sk__20 )
      | ( v3_struct_0 @ sk__20 )
      | ~ ( m1_subset_1 @ X0 @ ( u1_struct_0 @ sk__20 ) )
      | ( v1_funct_1 @ ( k6_autgroup @ sk__20 @ X0 ) )
      | ~ ( m1_fraenkel @ ( k4_autgroup @ sk__20 ) @ ( u1_struct_0 @ sk__20 ) @ ( u1_struct_0 @ sk__20 ) )
      | ( v1_xboole_0 @ ( u1_struct_0 @ sk__20 ) ) ),
    inference('dp-resolution',[status(thm)],[zip_derived_cl681,zip_derived_cl33]) ).

thf(zip_derived_cl781,plain,
    ! [X0: $i] :
      ( ( sk__20 != sk__20 )
      | ( v1_xboole_0 @ ( u1_struct_0 @ sk__20 ) )
      | ~ ( m1_fraenkel @ ( k4_autgroup @ sk__20 ) @ ( u1_struct_0 @ sk__20 ) @ ( u1_struct_0 @ sk__20 ) )
      | ( v1_funct_1 @ ( k6_autgroup @ sk__20 @ X0 ) )
      | ~ ( m1_subset_1 @ X0 @ ( u1_struct_0 @ sk__20 ) )
      | ( v3_struct_0 @ sk__20 )
      | ~ ( v1_group_1 @ sk__20 )
      | ~ ( l1_group_1 @ sk__20 ) ),
    inference('dp-resolution',[status(thm)],[zip_derived_cl110,zip_derived_cl704]) ).

thf(zip_derived_cl2622,plain,
    ! [X0: $i] :
      ( ~ ( l1_group_1 @ sk__20 )
      | ~ ( v1_group_1 @ sk__20 )
      | ( v3_struct_0 @ sk__20 )
      | ~ ( m1_subset_1 @ X0 @ ( u1_struct_0 @ sk__20 ) )
      | ( v1_funct_1 @ ( k6_autgroup @ sk__20 @ X0 ) )
      | ~ ( m1_fraenkel @ ( k4_autgroup @ sk__20 ) @ ( u1_struct_0 @ sk__20 ) @ ( u1_struct_0 @ sk__20 ) )
      | ( v1_xboole_0 @ ( u1_struct_0 @ sk__20 ) ) ),
    inference(simplify,[status(thm)],[zip_derived_cl781]) ).

thf(zip_derived_cl112,plain,
    l1_group_1 @ sk__20,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl109,plain,
    v1_group_1 @ sk__20,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl108,plain,
    ~ ( v3_struct_0 @ sk__20 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl110_001,plain,
    v3_group_1 @ sk__20,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl111_002,plain,
    v4_group_1 @ sk__20,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(dt_k4_autgroup,axiom,
    ! [A: $i] :
      ( ( ~ ( v3_struct_0 @ A )
        & ( v1_group_1 @ A )
        & ( v3_group_1 @ A )
        & ( v4_group_1 @ A )
        & ( l1_group_1 @ A ) )
     => ( m1_fraenkel @ ( k4_autgroup @ A ) @ ( u1_struct_0 @ A ) @ ( u1_struct_0 @ A ) ) ) ).

thf(zip_derived_cl21,plain,
    ! [X0: $i] :
      ( ( m1_fraenkel @ ( k4_autgroup @ X0 ) @ ( u1_struct_0 @ X0 ) @ ( u1_struct_0 @ X0 ) )
      | ~ ( l1_group_1 @ X0 )
      | ~ ( v4_group_1 @ X0 )
      | ~ ( v3_group_1 @ X0 )
      | ~ ( v1_group_1 @ X0 )
      | ( v3_struct_0 @ X0 ) ),
    inference(cnf,[status(esa)],[dt_k4_autgroup]) ).

thf(zip_derived_cl680,plain,
    ( ( v3_struct_0 @ sk__20 )
    | ~ ( v1_group_1 @ sk__20 )
    | ~ ( v3_group_1 @ sk__20 )
    | ~ ( l1_group_1 @ sk__20 )
    | ( m1_fraenkel @ ( k4_autgroup @ sk__20 ) @ ( u1_struct_0 @ sk__20 ) @ ( u1_struct_0 @ sk__20 ) ) ),
    inference('dp-resolution',[status(thm)],[zip_derived_cl111,zip_derived_cl21]) ).

thf(zip_derived_cl766,plain,
    ( ( sk__20 != sk__20 )
    | ( m1_fraenkel @ ( k4_autgroup @ sk__20 ) @ ( u1_struct_0 @ sk__20 ) @ ( u1_struct_0 @ sk__20 ) )
    | ~ ( l1_group_1 @ sk__20 )
    | ~ ( v1_group_1 @ sk__20 )
    | ( v3_struct_0 @ sk__20 ) ),
    inference('dp-resolution',[status(thm)],[zip_derived_cl110,zip_derived_cl680]) ).

thf(zip_derived_cl2427,plain,
    ( ( v3_struct_0 @ sk__20 )
    | ~ ( v1_group_1 @ sk__20 )
    | ~ ( l1_group_1 @ sk__20 )
    | ( m1_fraenkel @ ( k4_autgroup @ sk__20 ) @ ( u1_struct_0 @ sk__20 ) @ ( u1_struct_0 @ sk__20 ) ) ),
    inference(simplify,[status(thm)],[zip_derived_cl766]) ).

thf(zip_derived_cl108_003,plain,
    ~ ( v3_struct_0 @ sk__20 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl109_004,plain,
    v1_group_1 @ sk__20,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl112_005,plain,
    l1_group_1 @ sk__20,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl2428,plain,
    m1_fraenkel @ ( k4_autgroup @ sk__20 ) @ ( u1_struct_0 @ sk__20 ) @ ( u1_struct_0 @ sk__20 ),
    inference(demod,[status(thm)],[zip_derived_cl2427,zip_derived_cl108,zip_derived_cl109,zip_derived_cl112]) ).

thf(zip_derived_cl2623,plain,
    ! [X0: $i] :
      ( ~ ( m1_subset_1 @ X0 @ ( u1_struct_0 @ sk__20 ) )
      | ( v1_funct_1 @ ( k6_autgroup @ sk__20 @ X0 ) )
      | ( v1_xboole_0 @ ( u1_struct_0 @ sk__20 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl2622,zip_derived_cl112,zip_derived_cl109,zip_derived_cl108,zip_derived_cl2428]) ).

thf(zip_derived_cl110_006,plain,
    v3_group_1 @ sk__20,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl681_007,plain,
    ! [X0: $i] :
      ( ( m2_fraenkel @ ( k6_autgroup @ sk__20 @ X0 ) @ ( u1_struct_0 @ sk__20 ) @ ( u1_struct_0 @ sk__20 ) @ ( k4_autgroup @ sk__20 ) )
      | ~ ( m1_subset_1 @ X0 @ ( u1_struct_0 @ sk__20 ) )
      | ( v3_struct_0 @ sk__20 )
      | ~ ( v1_group_1 @ sk__20 )
      | ~ ( v3_group_1 @ sk__20 )
      | ~ ( l1_group_1 @ sk__20 ) ),
    inference('dp-resolution',[status(thm)],[zip_derived_cl111,zip_derived_cl23]) ).

thf(zip_derived_cl35,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( ( v1_xboole_0 @ X0 )
      | ~ ( m1_fraenkel @ X1 @ X2 @ X0 )
      | ( m2_relset_1 @ X3 @ X2 @ X0 )
      | ~ ( m2_fraenkel @ X3 @ X2 @ X0 @ X1 ) ),
    inference(cnf,[status(esa)],[dt_m2_fraenkel]) ).

thf(zip_derived_cl706,plain,
    ! [X0: $i] :
      ( ~ ( l1_group_1 @ sk__20 )
      | ~ ( v3_group_1 @ sk__20 )
      | ~ ( v1_group_1 @ sk__20 )
      | ( v3_struct_0 @ sk__20 )
      | ~ ( m1_subset_1 @ X0 @ ( u1_struct_0 @ sk__20 ) )
      | ( m2_relset_1 @ ( k6_autgroup @ sk__20 @ X0 ) @ ( u1_struct_0 @ sk__20 ) @ ( u1_struct_0 @ sk__20 ) )
      | ~ ( m1_fraenkel @ ( k4_autgroup @ sk__20 ) @ ( u1_struct_0 @ sk__20 ) @ ( u1_struct_0 @ sk__20 ) )
      | ( v1_xboole_0 @ ( u1_struct_0 @ sk__20 ) ) ),
    inference('dp-resolution',[status(thm)],[zip_derived_cl681,zip_derived_cl35]) ).

thf(redefinition_m2_relset_1,axiom,
    ! [A: $i,B: $i,C: $i] :
      ( ( m2_relset_1 @ C @ A @ B )
    <=> ( m1_relset_1 @ C @ A @ B ) ) ).

thf(zip_derived_cl95,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( m1_relset_1 @ X0 @ X1 @ X2 )
      | ~ ( m2_relset_1 @ X0 @ X1 @ X2 ) ),
    inference(cnf,[status(esa)],[redefinition_m2_relset_1]) ).

thf(zip_derived_cl716,plain,
    ! [X0: $i] :
      ( ( v1_xboole_0 @ ( u1_struct_0 @ sk__20 ) )
      | ~ ( m1_fraenkel @ ( k4_autgroup @ sk__20 ) @ ( u1_struct_0 @ sk__20 ) @ ( u1_struct_0 @ sk__20 ) )
      | ~ ( m1_subset_1 @ X0 @ ( u1_struct_0 @ sk__20 ) )
      | ( v3_struct_0 @ sk__20 )
      | ~ ( v1_group_1 @ sk__20 )
      | ~ ( v3_group_1 @ sk__20 )
      | ~ ( l1_group_1 @ sk__20 )
      | ( m1_relset_1 @ ( k6_autgroup @ sk__20 @ X0 ) @ ( u1_struct_0 @ sk__20 ) @ ( u1_struct_0 @ sk__20 ) ) ),
    inference('dp-resolution',[status(thm)],[zip_derived_cl706,zip_derived_cl95]) ).

thf(zip_derived_cl793,plain,
    ! [X0: $i] :
      ( ( sk__20 != sk__20 )
      | ( m1_relset_1 @ ( k6_autgroup @ sk__20 @ X0 ) @ ( u1_struct_0 @ sk__20 ) @ ( u1_struct_0 @ sk__20 ) )
      | ~ ( l1_group_1 @ sk__20 )
      | ~ ( v1_group_1 @ sk__20 )
      | ( v3_struct_0 @ sk__20 )
      | ~ ( m1_subset_1 @ X0 @ ( u1_struct_0 @ sk__20 ) )
      | ~ ( m1_fraenkel @ ( k4_autgroup @ sk__20 ) @ ( u1_struct_0 @ sk__20 ) @ ( u1_struct_0 @ sk__20 ) )
      | ( v1_xboole_0 @ ( u1_struct_0 @ sk__20 ) ) ),
    inference('dp-resolution',[status(thm)],[zip_derived_cl110,zip_derived_cl716]) ).

thf(zip_derived_cl2781,plain,
    ! [X0: $i] :
      ( ( v1_xboole_0 @ ( u1_struct_0 @ sk__20 ) )
      | ~ ( m1_fraenkel @ ( k4_autgroup @ sk__20 ) @ ( u1_struct_0 @ sk__20 ) @ ( u1_struct_0 @ sk__20 ) )
      | ~ ( m1_subset_1 @ X0 @ ( u1_struct_0 @ sk__20 ) )
      | ( v3_struct_0 @ sk__20 )
      | ~ ( v1_group_1 @ sk__20 )
      | ~ ( l1_group_1 @ sk__20 )
      | ( m1_relset_1 @ ( k6_autgroup @ sk__20 @ X0 ) @ ( u1_struct_0 @ sk__20 ) @ ( u1_struct_0 @ sk__20 ) ) ),
    inference(simplify,[status(thm)],[zip_derived_cl793]) ).

thf(zip_derived_cl2428_008,plain,
    m1_fraenkel @ ( k4_autgroup @ sk__20 ) @ ( u1_struct_0 @ sk__20 ) @ ( u1_struct_0 @ sk__20 ),
    inference(demod,[status(thm)],[zip_derived_cl2427,zip_derived_cl108,zip_derived_cl109,zip_derived_cl112]) ).

thf(zip_derived_cl108_009,plain,
    ~ ( v3_struct_0 @ sk__20 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl109_010,plain,
    v1_group_1 @ sk__20,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl112_011,plain,
    l1_group_1 @ sk__20,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl2782,plain,
    ! [X0: $i] :
      ( ( v1_xboole_0 @ ( u1_struct_0 @ sk__20 ) )
      | ~ ( m1_subset_1 @ X0 @ ( u1_struct_0 @ sk__20 ) )
      | ( m1_relset_1 @ ( k6_autgroup @ sk__20 @ X0 ) @ ( u1_struct_0 @ sk__20 ) @ ( u1_struct_0 @ sk__20 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl2781,zip_derived_cl2428,zip_derived_cl108,zip_derived_cl109,zip_derived_cl112]) ).

thf(zip_derived_cl110_012,plain,
    v3_group_1 @ sk__20,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl681_013,plain,
    ! [X0: $i] :
      ( ( m2_fraenkel @ ( k6_autgroup @ sk__20 @ X0 ) @ ( u1_struct_0 @ sk__20 ) @ ( u1_struct_0 @ sk__20 ) @ ( k4_autgroup @ sk__20 ) )
      | ~ ( m1_subset_1 @ X0 @ ( u1_struct_0 @ sk__20 ) )
      | ( v3_struct_0 @ sk__20 )
      | ~ ( v1_group_1 @ sk__20 )
      | ~ ( v3_group_1 @ sk__20 )
      | ~ ( l1_group_1 @ sk__20 ) ),
    inference('dp-resolution',[status(thm)],[zip_derived_cl111,zip_derived_cl23]) ).

thf(zip_derived_cl34,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( ( v1_xboole_0 @ X0 )
      | ~ ( m1_fraenkel @ X1 @ X2 @ X0 )
      | ( v1_funct_2 @ X3 @ X2 @ X0 )
      | ~ ( m2_fraenkel @ X3 @ X2 @ X0 @ X1 ) ),
    inference(cnf,[status(esa)],[dt_m2_fraenkel]) ).

thf(zip_derived_cl705,plain,
    ! [X0: $i] :
      ( ~ ( l1_group_1 @ sk__20 )
      | ~ ( v3_group_1 @ sk__20 )
      | ~ ( v1_group_1 @ sk__20 )
      | ( v3_struct_0 @ sk__20 )
      | ~ ( m1_subset_1 @ X0 @ ( u1_struct_0 @ sk__20 ) )
      | ( v1_funct_2 @ ( k6_autgroup @ sk__20 @ X0 ) @ ( u1_struct_0 @ sk__20 ) @ ( u1_struct_0 @ sk__20 ) )
      | ~ ( m1_fraenkel @ ( k4_autgroup @ sk__20 ) @ ( u1_struct_0 @ sk__20 ) @ ( u1_struct_0 @ sk__20 ) )
      | ( v1_xboole_0 @ ( u1_struct_0 @ sk__20 ) ) ),
    inference('dp-resolution',[status(thm)],[zip_derived_cl681,zip_derived_cl34]) ).

thf(zip_derived_cl784,plain,
    ! [X0: $i] :
      ( ( sk__20 != sk__20 )
      | ( v1_xboole_0 @ ( u1_struct_0 @ sk__20 ) )
      | ~ ( m1_fraenkel @ ( k4_autgroup @ sk__20 ) @ ( u1_struct_0 @ sk__20 ) @ ( u1_struct_0 @ sk__20 ) )
      | ( v1_funct_2 @ ( k6_autgroup @ sk__20 @ X0 ) @ ( u1_struct_0 @ sk__20 ) @ ( u1_struct_0 @ sk__20 ) )
      | ~ ( m1_subset_1 @ X0 @ ( u1_struct_0 @ sk__20 ) )
      | ( v3_struct_0 @ sk__20 )
      | ~ ( v1_group_1 @ sk__20 )
      | ~ ( l1_group_1 @ sk__20 ) ),
    inference('dp-resolution',[status(thm)],[zip_derived_cl110,zip_derived_cl705]) ).

thf(zip_derived_cl2747,plain,
    ! [X0: $i] :
      ( ~ ( l1_group_1 @ sk__20 )
      | ~ ( v1_group_1 @ sk__20 )
      | ( v3_struct_0 @ sk__20 )
      | ~ ( m1_subset_1 @ X0 @ ( u1_struct_0 @ sk__20 ) )
      | ( v1_funct_2 @ ( k6_autgroup @ sk__20 @ X0 ) @ ( u1_struct_0 @ sk__20 ) @ ( u1_struct_0 @ sk__20 ) )
      | ~ ( m1_fraenkel @ ( k4_autgroup @ sk__20 ) @ ( u1_struct_0 @ sk__20 ) @ ( u1_struct_0 @ sk__20 ) )
      | ( v1_xboole_0 @ ( u1_struct_0 @ sk__20 ) ) ),
    inference(simplify,[status(thm)],[zip_derived_cl784]) ).

thf(zip_derived_cl112_014,plain,
    l1_group_1 @ sk__20,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl109_015,plain,
    v1_group_1 @ sk__20,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl108_016,plain,
    ~ ( v3_struct_0 @ sk__20 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl2428_017,plain,
    m1_fraenkel @ ( k4_autgroup @ sk__20 ) @ ( u1_struct_0 @ sk__20 ) @ ( u1_struct_0 @ sk__20 ),
    inference(demod,[status(thm)],[zip_derived_cl2427,zip_derived_cl108,zip_derived_cl109,zip_derived_cl112]) ).

thf(zip_derived_cl2748,plain,
    ! [X0: $i] :
      ( ~ ( m1_subset_1 @ X0 @ ( u1_struct_0 @ sk__20 ) )
      | ( v1_funct_2 @ ( k6_autgroup @ sk__20 @ X0 ) @ ( u1_struct_0 @ sk__20 ) @ ( u1_struct_0 @ sk__20 ) )
      | ( v1_xboole_0 @ ( u1_struct_0 @ sk__20 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl2747,zip_derived_cl112,zip_derived_cl109,zip_derived_cl108,zip_derived_cl2428]) ).

thf(redefinition_k7_funct_2,axiom,
    ! [A: $i,B: $i,C: $i,D: $i,E: $i] :
      ( ( ~ ( v1_xboole_0 @ B )
        & ( v1_funct_1 @ D )
        & ( v1_funct_2 @ D @ A @ B )
        & ( m1_relset_1 @ D @ A @ B )
        & ( v1_funct_1 @ E )
        & ( v1_funct_2 @ E @ B @ C )
        & ( m1_relset_1 @ E @ B @ C ) )
     => ( ( k7_funct_2 @ A @ B @ C @ D @ E )
        = ( k5_relat_1 @ D @ E ) ) ) ).

thf(zip_derived_cl91,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
      ( ~ ( m1_relset_1 @ X0 @ X1 @ X2 )
      | ~ ( v1_funct_2 @ X0 @ X1 @ X2 )
      | ~ ( v1_funct_1 @ X0 )
      | ( v1_xboole_0 @ X2 )
      | ~ ( v1_funct_1 @ X3 )
      | ~ ( v1_funct_2 @ X3 @ X2 @ X4 )
      | ~ ( m1_relset_1 @ X3 @ X2 @ X4 )
      | ( ( k7_funct_2 @ X1 @ X2 @ X4 @ X0 @ X3 )
        = ( k5_relat_1 @ X0 @ X3 ) ) ),
    inference(cnf,[status(esa)],[redefinition_k7_funct_2]) ).

thf(zip_derived_cl91_018,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
      ( ~ ( m1_relset_1 @ X0 @ X1 @ X2 )
      | ~ ( v1_funct_2 @ X0 @ X1 @ X2 )
      | ~ ( v1_funct_1 @ X0 )
      | ( v1_xboole_0 @ X2 )
      | ~ ( v1_funct_1 @ X3 )
      | ~ ( v1_funct_2 @ X3 @ X2 @ X4 )
      | ~ ( m1_relset_1 @ X3 @ X2 @ X4 )
      | ( ( k7_funct_2 @ X1 @ X2 @ X4 @ X0 @ X3 )
        = ( k5_relat_1 @ X0 @ X3 ) ) ),
    inference(cnf,[status(esa)],[redefinition_k7_funct_2]) ).

thf(zip_derived_cl113,plain,
    ( ( ( k7_funct_2 @ ( u1_struct_0 @ sk__20 ) @ ( u1_struct_0 @ sk__20 ) @ ( u1_struct_0 @ sk__20 ) @ ( k6_autgroup @ sk__20 @ ( k2_group_1 @ sk__20 ) ) @ ( k6_autgroup @ sk__20 @ sk__21 ) )
     != ( k6_autgroup @ sk__20 @ sk__21 ) )
    | ( ( k7_funct_2 @ ( u1_struct_0 @ sk__20 ) @ ( u1_struct_0 @ sk__20 ) @ ( u1_struct_0 @ sk__20 ) @ ( k6_autgroup @ sk__20 @ sk__21 ) @ ( k6_autgroup @ sk__20 @ ( k2_group_1 @ sk__20 ) ) )
     != ( k6_autgroup @ sk__20 @ sk__21 ) ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl110_019,plain,
    v3_group_1 @ sk__20,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl111_020,plain,
    v4_group_1 @ sk__20,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(t24_autgroup,axiom,
    ! [A: $i] :
      ( ( ~ ( v3_struct_0 @ A )
        & ( v1_group_1 @ A )
        & ( v3_group_1 @ A )
        & ( v4_group_1 @ A )
        & ( l1_group_1 @ A ) )
     => ( ( k6_autgroup @ A @ ( k2_group_1 @ A ) )
        = ( k6_partfun1 @ ( u1_struct_0 @ A ) ) ) ) ).

thf(zip_derived_cl100,plain,
    ! [X0: $i] :
      ( ( ( k6_autgroup @ X0 @ ( k2_group_1 @ X0 ) )
        = ( k6_partfun1 @ ( u1_struct_0 @ X0 ) ) )
      | ~ ( l1_group_1 @ X0 )
      | ~ ( v4_group_1 @ X0 )
      | ~ ( v3_group_1 @ X0 )
      | ~ ( v1_group_1 @ X0 )
      | ( v3_struct_0 @ X0 ) ),
    inference(cnf,[status(esa)],[t24_autgroup]) ).

thf(zip_derived_cl682,plain,
    ( ( v3_struct_0 @ sk__20 )
    | ~ ( v1_group_1 @ sk__20 )
    | ~ ( v3_group_1 @ sk__20 )
    | ~ ( l1_group_1 @ sk__20 )
    | ( ( k6_autgroup @ sk__20 @ ( k2_group_1 @ sk__20 ) )
      = ( k6_partfun1 @ ( u1_struct_0 @ sk__20 ) ) ) ),
    inference('dp-resolution',[status(thm)],[zip_derived_cl111,zip_derived_cl100]) ).

thf(zip_derived_cl769,plain,
    ( ( sk__20 != sk__20 )
    | ( ( k6_autgroup @ sk__20 @ ( k2_group_1 @ sk__20 ) )
      = ( k6_partfun1 @ ( u1_struct_0 @ sk__20 ) ) )
    | ~ ( l1_group_1 @ sk__20 )
    | ~ ( v1_group_1 @ sk__20 )
    | ( v3_struct_0 @ sk__20 ) ),
    inference('dp-resolution',[status(thm)],[zip_derived_cl110,zip_derived_cl682]) ).

thf(zip_derived_cl2307,plain,
    ( ( v3_struct_0 @ sk__20 )
    | ~ ( v1_group_1 @ sk__20 )
    | ~ ( l1_group_1 @ sk__20 )
    | ( ( k6_autgroup @ sk__20 @ ( k2_group_1 @ sk__20 ) )
      = ( k6_partfun1 @ ( u1_struct_0 @ sk__20 ) ) ) ),
    inference(simplify,[status(thm)],[zip_derived_cl769]) ).

thf(zip_derived_cl108_021,plain,
    ~ ( v3_struct_0 @ sk__20 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl109_022,plain,
    v1_group_1 @ sk__20,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl112_023,plain,
    l1_group_1 @ sk__20,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl2308,plain,
    ( ( k6_autgroup @ sk__20 @ ( k2_group_1 @ sk__20 ) )
    = ( k6_partfun1 @ ( u1_struct_0 @ sk__20 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl2307,zip_derived_cl108,zip_derived_cl109,zip_derived_cl112]) ).

thf(zip_derived_cl2308_024,plain,
    ( ( k6_autgroup @ sk__20 @ ( k2_group_1 @ sk__20 ) )
    = ( k6_partfun1 @ ( u1_struct_0 @ sk__20 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl2307,zip_derived_cl108,zip_derived_cl109,zip_derived_cl112]) ).

thf(zip_derived_cl2414,plain,
    ( ( ( k7_funct_2 @ ( u1_struct_0 @ sk__20 ) @ ( u1_struct_0 @ sk__20 ) @ ( u1_struct_0 @ sk__20 ) @ ( k6_partfun1 @ ( u1_struct_0 @ sk__20 ) ) @ ( k6_autgroup @ sk__20 @ sk__21 ) )
     != ( k6_autgroup @ sk__20 @ sk__21 ) )
    | ( ( k7_funct_2 @ ( u1_struct_0 @ sk__20 ) @ ( u1_struct_0 @ sk__20 ) @ ( u1_struct_0 @ sk__20 ) @ ( k6_autgroup @ sk__20 @ sk__21 ) @ ( k6_partfun1 @ ( u1_struct_0 @ sk__20 ) ) )
     != ( k6_autgroup @ sk__20 @ sk__21 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl113,zip_derived_cl2308,zip_derived_cl2308]) ).

thf(zip_derived_cl2415,plain,
    ( ( ( k5_relat_1 @ ( k6_autgroup @ sk__20 @ sk__21 ) @ ( k6_partfun1 @ ( u1_struct_0 @ sk__20 ) ) )
     != ( k6_autgroup @ sk__20 @ sk__21 ) )
    | ~ ( m1_relset_1 @ ( k6_partfun1 @ ( u1_struct_0 @ sk__20 ) ) @ ( u1_struct_0 @ sk__20 ) @ ( u1_struct_0 @ sk__20 ) )
    | ~ ( v1_funct_2 @ ( k6_partfun1 @ ( u1_struct_0 @ sk__20 ) ) @ ( u1_struct_0 @ sk__20 ) @ ( u1_struct_0 @ sk__20 ) )
    | ~ ( v1_funct_1 @ ( k6_partfun1 @ ( u1_struct_0 @ sk__20 ) ) )
    | ( v1_xboole_0 @ ( u1_struct_0 @ sk__20 ) )
    | ~ ( v1_funct_1 @ ( k6_autgroup @ sk__20 @ sk__21 ) )
    | ~ ( v1_funct_2 @ ( k6_autgroup @ sk__20 @ sk__21 ) @ ( u1_struct_0 @ sk__20 ) @ ( u1_struct_0 @ sk__20 ) )
    | ~ ( m1_relset_1 @ ( k6_autgroup @ sk__20 @ sk__21 ) @ ( u1_struct_0 @ sk__20 ) @ ( u1_struct_0 @ sk__20 ) )
    | ( ( k7_funct_2 @ ( u1_struct_0 @ sk__20 ) @ ( u1_struct_0 @ sk__20 ) @ ( u1_struct_0 @ sk__20 ) @ ( k6_partfun1 @ ( u1_struct_0 @ sk__20 ) ) @ ( k6_autgroup @ sk__20 @ sk__21 ) )
     != ( k6_autgroup @ sk__20 @ sk__21 ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl91,zip_derived_cl2414]) ).

thf(dt_k6_partfun1,axiom,
    ! [A: $i] :
      ( ( m2_relset_1 @ ( k6_partfun1 @ A ) @ A @ A )
      & ( v1_partfun1 @ ( k6_partfun1 @ A ) @ A @ A ) ) ).

thf(zip_derived_cl25,plain,
    ! [X0: $i] : ( m2_relset_1 @ ( k6_partfun1 @ X0 ) @ X0 @ X0 ),
    inference(cnf,[status(esa)],[dt_k6_partfun1]) ).

thf(zip_derived_cl95_025,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( m1_relset_1 @ X0 @ X1 @ X2 )
      | ~ ( m2_relset_1 @ X0 @ X1 @ X2 ) ),
    inference(cnf,[status(esa)],[redefinition_m2_relset_1]) ).

thf(zip_derived_cl708,plain,
    ! [X0: $i] : ( m1_relset_1 @ ( k6_partfun1 @ X0 ) @ X0 @ X0 ),
    inference('dp-resolution',[status(thm)],[zip_derived_cl25,zip_derived_cl95]) ).

thf(zip_derived_cl2416,plain,
    ( ( ( k5_relat_1 @ ( k6_autgroup @ sk__20 @ sk__21 ) @ ( k6_partfun1 @ ( u1_struct_0 @ sk__20 ) ) )
     != ( k6_autgroup @ sk__20 @ sk__21 ) )
    | ~ ( v1_funct_2 @ ( k6_partfun1 @ ( u1_struct_0 @ sk__20 ) ) @ ( u1_struct_0 @ sk__20 ) @ ( u1_struct_0 @ sk__20 ) )
    | ~ ( v1_funct_1 @ ( k6_partfun1 @ ( u1_struct_0 @ sk__20 ) ) )
    | ( v1_xboole_0 @ ( u1_struct_0 @ sk__20 ) )
    | ~ ( v1_funct_1 @ ( k6_autgroup @ sk__20 @ sk__21 ) )
    | ~ ( v1_funct_2 @ ( k6_autgroup @ sk__20 @ sk__21 ) @ ( u1_struct_0 @ sk__20 ) @ ( u1_struct_0 @ sk__20 ) )
    | ~ ( m1_relset_1 @ ( k6_autgroup @ sk__20 @ sk__21 ) @ ( u1_struct_0 @ sk__20 ) @ ( u1_struct_0 @ sk__20 ) )
    | ( ( k7_funct_2 @ ( u1_struct_0 @ sk__20 ) @ ( u1_struct_0 @ sk__20 ) @ ( u1_struct_0 @ sk__20 ) @ ( k6_partfun1 @ ( u1_struct_0 @ sk__20 ) ) @ ( k6_autgroup @ sk__20 @ sk__21 ) )
     != ( k6_autgroup @ sk__20 @ sk__21 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl2415,zip_derived_cl708]) ).

thf(zip_derived_cl96,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( m2_relset_1 @ X0 @ X1 @ X2 )
      | ~ ( m1_relset_1 @ X0 @ X1 @ X2 ) ),
    inference(cnf,[status(esa)],[redefinition_m2_relset_1]) ).

thf(t23_funct_2,axiom,
    ! [A: $i,B: $i,C: $i] :
      ( ( m2_relset_1 @ C @ A @ B )
     => ( ( ( k7_relset_1 @ A @ A @ A @ B @ ( k6_partfun1 @ A ) @ C )
          = C )
        & ( ( k7_relset_1 @ A @ B @ B @ B @ C @ ( k6_partfun1 @ B ) )
          = C ) ) ) ).

thf(zip_derived_cl99,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( ( k7_relset_1 @ X1 @ X2 @ X2 @ X2 @ X0 @ ( k6_partfun1 @ X2 ) )
        = X0 )
      | ~ ( m2_relset_1 @ X0 @ X1 @ X2 ) ),
    inference(cnf,[status(esa)],[t23_funct_2]) ).

thf(zip_derived_cl719,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ~ ( m1_relset_1 @ X2 @ X1 @ X0 )
      | ( ( k7_relset_1 @ X1 @ X0 @ X0 @ X0 @ X2 @ ( k6_partfun1 @ X0 ) )
        = X2 ) ),
    inference('dp-resolution',[status(thm)],[zip_derived_cl96,zip_derived_cl99]) ).

thf(redefinition_k7_relset_1,axiom,
    ! [A: $i,B: $i,C: $i,D: $i,E: $i,F: $i] :
      ( ( ( m1_relset_1 @ E @ A @ B )
        & ( m1_relset_1 @ F @ C @ D ) )
     => ( ( k7_relset_1 @ A @ B @ C @ D @ E @ F )
        = ( k5_relat_1 @ E @ F ) ) ) ).

thf(zip_derived_cl92,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
      ( ~ ( m1_relset_1 @ X0 @ X1 @ X2 )
      | ~ ( m1_relset_1 @ X3 @ X4 @ X5 )
      | ( ( k7_relset_1 @ X1 @ X2 @ X4 @ X5 @ X0 @ X3 )
        = ( k5_relat_1 @ X0 @ X3 ) ) ),
    inference(cnf,[status(esa)],[redefinition_k7_relset_1]) ).

thf(zip_derived_cl2340,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( X0
        = ( k5_relat_1 @ X0 @ ( k6_partfun1 @ X1 ) ) )
      | ~ ( m1_relset_1 @ X0 @ X2 @ X1 )
      | ~ ( m1_relset_1 @ ( k6_partfun1 @ X1 ) @ X1 @ X1 )
      | ~ ( m1_relset_1 @ X0 @ X2 @ X1 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl719,zip_derived_cl92]) ).

thf(zip_derived_cl708_026,plain,
    ! [X0: $i] : ( m1_relset_1 @ ( k6_partfun1 @ X0 ) @ X0 @ X0 ),
    inference('dp-resolution',[status(thm)],[zip_derived_cl25,zip_derived_cl95]) ).

thf(zip_derived_cl2343,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( X0
        = ( k5_relat_1 @ X0 @ ( k6_partfun1 @ X1 ) ) )
      | ~ ( m1_relset_1 @ X0 @ X2 @ X1 )
      | ~ ( m1_relset_1 @ X0 @ X2 @ X1 ) ),
    inference(demod,[status(thm)],[zip_derived_cl2340,zip_derived_cl708]) ).

thf(zip_derived_cl2344,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ~ ( m1_relset_1 @ X0 @ X2 @ X1 )
      | ( X0
        = ( k5_relat_1 @ X0 @ ( k6_partfun1 @ X1 ) ) ) ),
    inference(simplify,[status(thm)],[zip_derived_cl2343]) ).

thf(zip_derived_cl3169,plain,
    ( ( ( k7_funct_2 @ ( u1_struct_0 @ sk__20 ) @ ( u1_struct_0 @ sk__20 ) @ ( u1_struct_0 @ sk__20 ) @ ( k6_partfun1 @ ( u1_struct_0 @ sk__20 ) ) @ ( k6_autgroup @ sk__20 @ sk__21 ) )
     != ( k6_autgroup @ sk__20 @ sk__21 ) )
    | ~ ( m1_relset_1 @ ( k6_autgroup @ sk__20 @ sk__21 ) @ ( u1_struct_0 @ sk__20 ) @ ( u1_struct_0 @ sk__20 ) )
    | ~ ( v1_funct_2 @ ( k6_autgroup @ sk__20 @ sk__21 ) @ ( u1_struct_0 @ sk__20 ) @ ( u1_struct_0 @ sk__20 ) )
    | ~ ( v1_funct_1 @ ( k6_autgroup @ sk__20 @ sk__21 ) )
    | ( v1_xboole_0 @ ( u1_struct_0 @ sk__20 ) )
    | ~ ( v1_funct_1 @ ( k6_partfun1 @ ( u1_struct_0 @ sk__20 ) ) )
    | ~ ( v1_funct_2 @ ( k6_partfun1 @ ( u1_struct_0 @ sk__20 ) ) @ ( u1_struct_0 @ sk__20 ) @ ( u1_struct_0 @ sk__20 ) ) ),
    inference(clc,[status(thm)],[zip_derived_cl2416,zip_derived_cl2344]) ).

thf(dt_k2_group_1,axiom,
    ! [A: $i] :
      ( ( ~ ( v3_struct_0 @ A )
        & ( l1_group_1 @ A ) )
     => ( m1_subset_1 @ ( k2_group_1 @ A ) @ ( u1_struct_0 @ A ) ) ) ).

thf(zip_derived_cl20,plain,
    ! [X0: $i] :
      ( ( m1_subset_1 @ ( k2_group_1 @ X0 ) @ ( u1_struct_0 @ X0 ) )
      | ~ ( l1_group_1 @ X0 )
      | ( v3_struct_0 @ X0 ) ),
    inference(cnf,[status(esa)],[dt_k2_group_1]) ).

thf(zip_derived_cl2308_027,plain,
    ( ( k6_autgroup @ sk__20 @ ( k2_group_1 @ sk__20 ) )
    = ( k6_partfun1 @ ( u1_struct_0 @ sk__20 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl2307,zip_derived_cl108,zip_derived_cl109,zip_derived_cl112]) ).

thf(zip_derived_cl2623_028,plain,
    ! [X0: $i] :
      ( ~ ( m1_subset_1 @ X0 @ ( u1_struct_0 @ sk__20 ) )
      | ( v1_funct_1 @ ( k6_autgroup @ sk__20 @ X0 ) )
      | ( v1_xboole_0 @ ( u1_struct_0 @ sk__20 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl2622,zip_derived_cl112,zip_derived_cl109,zip_derived_cl108,zip_derived_cl2428]) ).

thf(zip_derived_cl2624,plain,
    ( ( v1_funct_1 @ ( k6_partfun1 @ ( u1_struct_0 @ sk__20 ) ) )
    | ( v1_xboole_0 @ ( u1_struct_0 @ sk__20 ) )
    | ~ ( m1_subset_1 @ ( k2_group_1 @ sk__20 ) @ ( u1_struct_0 @ sk__20 ) ) ),
    inference('sup+',[status(thm)],[zip_derived_cl2308,zip_derived_cl2623]) ).

thf(zip_derived_cl2626,plain,
    ( ( v3_struct_0 @ sk__20 )
    | ~ ( l1_group_1 @ sk__20 )
    | ( v1_xboole_0 @ ( u1_struct_0 @ sk__20 ) )
    | ( v1_funct_1 @ ( k6_partfun1 @ ( u1_struct_0 @ sk__20 ) ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl20,zip_derived_cl2624]) ).

thf(zip_derived_cl108_029,plain,
    ~ ( v3_struct_0 @ sk__20 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl112_030,plain,
    l1_group_1 @ sk__20,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl2627,plain,
    ( ( v1_xboole_0 @ ( u1_struct_0 @ sk__20 ) )
    | ( v1_funct_1 @ ( k6_partfun1 @ ( u1_struct_0 @ sk__20 ) ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl2626,zip_derived_cl108,zip_derived_cl112]) ).

thf(zip_derived_cl3170,plain,
    ( ~ ( v1_funct_2 @ ( k6_partfun1 @ ( u1_struct_0 @ sk__20 ) ) @ ( u1_struct_0 @ sk__20 ) @ ( u1_struct_0 @ sk__20 ) )
    | ( v1_xboole_0 @ ( u1_struct_0 @ sk__20 ) )
    | ~ ( v1_funct_1 @ ( k6_autgroup @ sk__20 @ sk__21 ) )
    | ~ ( v1_funct_2 @ ( k6_autgroup @ sk__20 @ sk__21 ) @ ( u1_struct_0 @ sk__20 ) @ ( u1_struct_0 @ sk__20 ) )
    | ~ ( m1_relset_1 @ ( k6_autgroup @ sk__20 @ sk__21 ) @ ( u1_struct_0 @ sk__20 ) @ ( u1_struct_0 @ sk__20 ) )
    | ( ( k7_funct_2 @ ( u1_struct_0 @ sk__20 ) @ ( u1_struct_0 @ sk__20 ) @ ( u1_struct_0 @ sk__20 ) @ ( k6_partfun1 @ ( u1_struct_0 @ sk__20 ) ) @ ( k6_autgroup @ sk__20 @ sk__21 ) )
     != ( k6_autgroup @ sk__20 @ sk__21 ) ) ),
    inference(clc,[status(thm)],[zip_derived_cl3169,zip_derived_cl2627]) ).

thf(zip_derived_cl3171,plain,
    ( ( ( k5_relat_1 @ ( k6_partfun1 @ ( u1_struct_0 @ sk__20 ) ) @ ( k6_autgroup @ sk__20 @ sk__21 ) )
     != ( k6_autgroup @ sk__20 @ sk__21 ) )
    | ~ ( m1_relset_1 @ ( k6_autgroup @ sk__20 @ sk__21 ) @ ( u1_struct_0 @ sk__20 ) @ ( u1_struct_0 @ sk__20 ) )
    | ~ ( v1_funct_2 @ ( k6_autgroup @ sk__20 @ sk__21 ) @ ( u1_struct_0 @ sk__20 ) @ ( u1_struct_0 @ sk__20 ) )
    | ~ ( v1_funct_1 @ ( k6_autgroup @ sk__20 @ sk__21 ) )
    | ( v1_xboole_0 @ ( u1_struct_0 @ sk__20 ) )
    | ~ ( v1_funct_1 @ ( k6_partfun1 @ ( u1_struct_0 @ sk__20 ) ) )
    | ~ ( v1_funct_2 @ ( k6_partfun1 @ ( u1_struct_0 @ sk__20 ) ) @ ( u1_struct_0 @ sk__20 ) @ ( u1_struct_0 @ sk__20 ) )
    | ~ ( m1_relset_1 @ ( k6_partfun1 @ ( u1_struct_0 @ sk__20 ) ) @ ( u1_struct_0 @ sk__20 ) @ ( u1_struct_0 @ sk__20 ) )
    | ~ ( m1_relset_1 @ ( k6_autgroup @ sk__20 @ sk__21 ) @ ( u1_struct_0 @ sk__20 ) @ ( u1_struct_0 @ sk__20 ) )
    | ~ ( v1_funct_2 @ ( k6_autgroup @ sk__20 @ sk__21 ) @ ( u1_struct_0 @ sk__20 ) @ ( u1_struct_0 @ sk__20 ) )
    | ~ ( v1_funct_1 @ ( k6_autgroup @ sk__20 @ sk__21 ) )
    | ( v1_xboole_0 @ ( u1_struct_0 @ sk__20 ) )
    | ~ ( v1_funct_2 @ ( k6_partfun1 @ ( u1_struct_0 @ sk__20 ) ) @ ( u1_struct_0 @ sk__20 ) @ ( u1_struct_0 @ sk__20 ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl91,zip_derived_cl3170]) ).

thf(zip_derived_cl708_031,plain,
    ! [X0: $i] : ( m1_relset_1 @ ( k6_partfun1 @ X0 ) @ X0 @ X0 ),
    inference('dp-resolution',[status(thm)],[zip_derived_cl25,zip_derived_cl95]) ).

thf(zip_derived_cl3172,plain,
    ( ( ( k5_relat_1 @ ( k6_partfun1 @ ( u1_struct_0 @ sk__20 ) ) @ ( k6_autgroup @ sk__20 @ sk__21 ) )
     != ( k6_autgroup @ sk__20 @ sk__21 ) )
    | ~ ( m1_relset_1 @ ( k6_autgroup @ sk__20 @ sk__21 ) @ ( u1_struct_0 @ sk__20 ) @ ( u1_struct_0 @ sk__20 ) )
    | ~ ( v1_funct_2 @ ( k6_autgroup @ sk__20 @ sk__21 ) @ ( u1_struct_0 @ sk__20 ) @ ( u1_struct_0 @ sk__20 ) )
    | ~ ( v1_funct_1 @ ( k6_autgroup @ sk__20 @ sk__21 ) )
    | ( v1_xboole_0 @ ( u1_struct_0 @ sk__20 ) )
    | ~ ( v1_funct_1 @ ( k6_partfun1 @ ( u1_struct_0 @ sk__20 ) ) )
    | ~ ( v1_funct_2 @ ( k6_partfun1 @ ( u1_struct_0 @ sk__20 ) ) @ ( u1_struct_0 @ sk__20 ) @ ( u1_struct_0 @ sk__20 ) )
    | ~ ( m1_relset_1 @ ( k6_autgroup @ sk__20 @ sk__21 ) @ ( u1_struct_0 @ sk__20 ) @ ( u1_struct_0 @ sk__20 ) )
    | ~ ( v1_funct_2 @ ( k6_autgroup @ sk__20 @ sk__21 ) @ ( u1_struct_0 @ sk__20 ) @ ( u1_struct_0 @ sk__20 ) )
    | ~ ( v1_funct_1 @ ( k6_autgroup @ sk__20 @ sk__21 ) )
    | ( v1_xboole_0 @ ( u1_struct_0 @ sk__20 ) )
    | ~ ( v1_funct_2 @ ( k6_partfun1 @ ( u1_struct_0 @ sk__20 ) ) @ ( u1_struct_0 @ sk__20 ) @ ( u1_struct_0 @ sk__20 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl3171,zip_derived_cl708]) ).

thf(zip_derived_cl3173,plain,
    ( ~ ( v1_funct_2 @ ( k6_partfun1 @ ( u1_struct_0 @ sk__20 ) ) @ ( u1_struct_0 @ sk__20 ) @ ( u1_struct_0 @ sk__20 ) )
    | ~ ( v1_funct_1 @ ( k6_partfun1 @ ( u1_struct_0 @ sk__20 ) ) )
    | ( v1_xboole_0 @ ( u1_struct_0 @ sk__20 ) )
    | ~ ( v1_funct_1 @ ( k6_autgroup @ sk__20 @ sk__21 ) )
    | ~ ( v1_funct_2 @ ( k6_autgroup @ sk__20 @ sk__21 ) @ ( u1_struct_0 @ sk__20 ) @ ( u1_struct_0 @ sk__20 ) )
    | ~ ( m1_relset_1 @ ( k6_autgroup @ sk__20 @ sk__21 ) @ ( u1_struct_0 @ sk__20 ) @ ( u1_struct_0 @ sk__20 ) )
    | ( ( k5_relat_1 @ ( k6_partfun1 @ ( u1_struct_0 @ sk__20 ) ) @ ( k6_autgroup @ sk__20 @ sk__21 ) )
     != ( k6_autgroup @ sk__20 @ sk__21 ) ) ),
    inference(simplify,[status(thm)],[zip_derived_cl3172]) ).

thf(zip_derived_cl24,plain,
    ! [X0: $i] : ( v1_partfun1 @ ( k6_partfun1 @ X0 ) @ X0 @ X0 ),
    inference(cnf,[status(esa)],[dt_k6_partfun1]) ).

thf(cc1_funct_2,axiom,
    ! [A: $i,B: $i,C: $i] :
      ( ( m1_relset_1 @ C @ A @ B )
     => ( ( ( v1_funct_1 @ C )
          & ( v1_partfun1 @ C @ A @ B ) )
       => ( ( v1_funct_1 @ C )
          & ( v1_funct_2 @ C @ A @ B ) ) ) ) ).

thf(zip_derived_cl4,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ~ ( v1_funct_1 @ X0 )
      | ~ ( v1_partfun1 @ X0 @ X1 @ X2 )
      | ( v1_funct_2 @ X0 @ X1 @ X2 )
      | ~ ( m1_relset_1 @ X0 @ X1 @ X2 ) ),
    inference(cnf,[status(esa)],[cc1_funct_2]) ).

thf(zip_derived_cl676,plain,
    ! [X0: $i] :
      ( ~ ( m1_relset_1 @ ( k6_partfun1 @ X0 ) @ X0 @ X0 )
      | ( v1_funct_2 @ ( k6_partfun1 @ X0 ) @ X0 @ X0 )
      | ~ ( v1_funct_1 @ ( k6_partfun1 @ X0 ) ) ),
    inference('dp-resolution',[status(thm)],[zip_derived_cl24,zip_derived_cl4]) ).

thf(zip_derived_cl708_032,plain,
    ! [X0: $i] : ( m1_relset_1 @ ( k6_partfun1 @ X0 ) @ X0 @ X0 ),
    inference('dp-resolution',[status(thm)],[zip_derived_cl25,zip_derived_cl95]) ).

thf(zip_derived_cl2252,plain,
    ! [X0: $i] :
      ( ( v1_funct_2 @ ( k6_partfun1 @ X0 ) @ X0 @ X0 )
      | ~ ( v1_funct_1 @ ( k6_partfun1 @ X0 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl676,zip_derived_cl708]) ).

thf(zip_derived_cl3174,plain,
    ( ( ( k5_relat_1 @ ( k6_partfun1 @ ( u1_struct_0 @ sk__20 ) ) @ ( k6_autgroup @ sk__20 @ sk__21 ) )
     != ( k6_autgroup @ sk__20 @ sk__21 ) )
    | ~ ( m1_relset_1 @ ( k6_autgroup @ sk__20 @ sk__21 ) @ ( u1_struct_0 @ sk__20 ) @ ( u1_struct_0 @ sk__20 ) )
    | ~ ( v1_funct_2 @ ( k6_autgroup @ sk__20 @ sk__21 ) @ ( u1_struct_0 @ sk__20 ) @ ( u1_struct_0 @ sk__20 ) )
    | ~ ( v1_funct_1 @ ( k6_autgroup @ sk__20 @ sk__21 ) )
    | ( v1_xboole_0 @ ( u1_struct_0 @ sk__20 ) )
    | ~ ( v1_funct_1 @ ( k6_partfun1 @ ( u1_struct_0 @ sk__20 ) ) ) ),
    inference(clc,[status(thm)],[zip_derived_cl3173,zip_derived_cl2252]) ).

thf(zip_derived_cl96_033,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( m2_relset_1 @ X0 @ X1 @ X2 )
      | ~ ( m1_relset_1 @ X0 @ X1 @ X2 ) ),
    inference(cnf,[status(esa)],[redefinition_m2_relset_1]) ).

thf(zip_derived_cl98,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( ( k7_relset_1 @ X1 @ X1 @ X1 @ X2 @ ( k6_partfun1 @ X1 ) @ X0 )
        = X0 )
      | ~ ( m2_relset_1 @ X0 @ X1 @ X2 ) ),
    inference(cnf,[status(esa)],[t23_funct_2]) ).

thf(zip_derived_cl718,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ~ ( m1_relset_1 @ X2 @ X1 @ X0 )
      | ( ( k7_relset_1 @ X1 @ X1 @ X1 @ X0 @ ( k6_partfun1 @ X1 ) @ X2 )
        = X2 ) ),
    inference('dp-resolution',[status(thm)],[zip_derived_cl96,zip_derived_cl98]) ).

thf(zip_derived_cl92_034,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
      ( ~ ( m1_relset_1 @ X0 @ X1 @ X2 )
      | ~ ( m1_relset_1 @ X3 @ X4 @ X5 )
      | ( ( k7_relset_1 @ X1 @ X2 @ X4 @ X5 @ X0 @ X3 )
        = ( k5_relat_1 @ X0 @ X3 ) ) ),
    inference(cnf,[status(esa)],[redefinition_k7_relset_1]) ).

thf(zip_derived_cl2339,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( X0
        = ( k5_relat_1 @ ( k6_partfun1 @ X1 ) @ X0 ) )
      | ~ ( m1_relset_1 @ X0 @ X1 @ X2 )
      | ~ ( m1_relset_1 @ X0 @ X1 @ X2 )
      | ~ ( m1_relset_1 @ ( k6_partfun1 @ X1 ) @ X1 @ X1 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl718,zip_derived_cl92]) ).

thf(zip_derived_cl708_035,plain,
    ! [X0: $i] : ( m1_relset_1 @ ( k6_partfun1 @ X0 ) @ X0 @ X0 ),
    inference('dp-resolution',[status(thm)],[zip_derived_cl25,zip_derived_cl95]) ).

thf(zip_derived_cl2341,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( X0
        = ( k5_relat_1 @ ( k6_partfun1 @ X1 ) @ X0 ) )
      | ~ ( m1_relset_1 @ X0 @ X1 @ X2 )
      | ~ ( m1_relset_1 @ X0 @ X1 @ X2 ) ),
    inference(demod,[status(thm)],[zip_derived_cl2339,zip_derived_cl708]) ).

thf(zip_derived_cl2342,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ~ ( m1_relset_1 @ X0 @ X1 @ X2 )
      | ( X0
        = ( k5_relat_1 @ ( k6_partfun1 @ X1 ) @ X0 ) ) ),
    inference(simplify,[status(thm)],[zip_derived_cl2341]) ).

thf(zip_derived_cl3175,plain,
    ( ~ ( v1_funct_1 @ ( k6_partfun1 @ ( u1_struct_0 @ sk__20 ) ) )
    | ( v1_xboole_0 @ ( u1_struct_0 @ sk__20 ) )
    | ~ ( v1_funct_1 @ ( k6_autgroup @ sk__20 @ sk__21 ) )
    | ~ ( v1_funct_2 @ ( k6_autgroup @ sk__20 @ sk__21 ) @ ( u1_struct_0 @ sk__20 ) @ ( u1_struct_0 @ sk__20 ) )
    | ~ ( m1_relset_1 @ ( k6_autgroup @ sk__20 @ sk__21 ) @ ( u1_struct_0 @ sk__20 ) @ ( u1_struct_0 @ sk__20 ) ) ),
    inference(clc,[status(thm)],[zip_derived_cl3174,zip_derived_cl2342]) ).

thf(zip_derived_cl2627_036,plain,
    ( ( v1_xboole_0 @ ( u1_struct_0 @ sk__20 ) )
    | ( v1_funct_1 @ ( k6_partfun1 @ ( u1_struct_0 @ sk__20 ) ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl2626,zip_derived_cl108,zip_derived_cl112]) ).

thf(zip_derived_cl3176,plain,
    ( ~ ( m1_relset_1 @ ( k6_autgroup @ sk__20 @ sk__21 ) @ ( u1_struct_0 @ sk__20 ) @ ( u1_struct_0 @ sk__20 ) )
    | ~ ( v1_funct_2 @ ( k6_autgroup @ sk__20 @ sk__21 ) @ ( u1_struct_0 @ sk__20 ) @ ( u1_struct_0 @ sk__20 ) )
    | ~ ( v1_funct_1 @ ( k6_autgroup @ sk__20 @ sk__21 ) )
    | ( v1_xboole_0 @ ( u1_struct_0 @ sk__20 ) ) ),
    inference(clc,[status(thm)],[zip_derived_cl3175,zip_derived_cl2627]) ).

thf(zip_derived_cl3180,plain,
    ( ( v1_xboole_0 @ ( u1_struct_0 @ sk__20 ) )
    | ~ ( m1_subset_1 @ sk__21 @ ( u1_struct_0 @ sk__20 ) )
    | ( v1_xboole_0 @ ( u1_struct_0 @ sk__20 ) )
    | ~ ( v1_funct_1 @ ( k6_autgroup @ sk__20 @ sk__21 ) )
    | ~ ( m1_relset_1 @ ( k6_autgroup @ sk__20 @ sk__21 ) @ ( u1_struct_0 @ sk__20 ) @ ( u1_struct_0 @ sk__20 ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl2748,zip_derived_cl3176]) ).

thf(zip_derived_cl114,plain,
    m1_subset_1 @ sk__21 @ ( u1_struct_0 @ sk__20 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl3182,plain,
    ( ( v1_xboole_0 @ ( u1_struct_0 @ sk__20 ) )
    | ( v1_xboole_0 @ ( u1_struct_0 @ sk__20 ) )
    | ~ ( v1_funct_1 @ ( k6_autgroup @ sk__20 @ sk__21 ) )
    | ~ ( m1_relset_1 @ ( k6_autgroup @ sk__20 @ sk__21 ) @ ( u1_struct_0 @ sk__20 ) @ ( u1_struct_0 @ sk__20 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl3180,zip_derived_cl114]) ).

thf(zip_derived_cl3183,plain,
    ( ~ ( m1_relset_1 @ ( k6_autgroup @ sk__20 @ sk__21 ) @ ( u1_struct_0 @ sk__20 ) @ ( u1_struct_0 @ sk__20 ) )
    | ~ ( v1_funct_1 @ ( k6_autgroup @ sk__20 @ sk__21 ) )
    | ( v1_xboole_0 @ ( u1_struct_0 @ sk__20 ) ) ),
    inference(simplify,[status(thm)],[zip_derived_cl3182]) ).

thf(zip_derived_cl3194,plain,
    ( ~ ( m1_subset_1 @ sk__21 @ ( u1_struct_0 @ sk__20 ) )
    | ( v1_xboole_0 @ ( u1_struct_0 @ sk__20 ) )
    | ( v1_xboole_0 @ ( u1_struct_0 @ sk__20 ) )
    | ~ ( v1_funct_1 @ ( k6_autgroup @ sk__20 @ sk__21 ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl2782,zip_derived_cl3183]) ).

thf(zip_derived_cl114_037,plain,
    m1_subset_1 @ sk__21 @ ( u1_struct_0 @ sk__20 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl3196,plain,
    ( ( v1_xboole_0 @ ( u1_struct_0 @ sk__20 ) )
    | ( v1_xboole_0 @ ( u1_struct_0 @ sk__20 ) )
    | ~ ( v1_funct_1 @ ( k6_autgroup @ sk__20 @ sk__21 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl3194,zip_derived_cl114]) ).

thf(zip_derived_cl3197,plain,
    ( ~ ( v1_funct_1 @ ( k6_autgroup @ sk__20 @ sk__21 ) )
    | ( v1_xboole_0 @ ( u1_struct_0 @ sk__20 ) ) ),
    inference(simplify,[status(thm)],[zip_derived_cl3196]) ).

thf(zip_derived_cl3202,plain,
    ( ( v1_xboole_0 @ ( u1_struct_0 @ sk__20 ) )
    | ~ ( m1_subset_1 @ sk__21 @ ( u1_struct_0 @ sk__20 ) )
    | ( v1_xboole_0 @ ( u1_struct_0 @ sk__20 ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl2623,zip_derived_cl3197]) ).

thf(zip_derived_cl114_038,plain,
    m1_subset_1 @ sk__21 @ ( u1_struct_0 @ sk__20 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl3203,plain,
    ( ( v1_xboole_0 @ ( u1_struct_0 @ sk__20 ) )
    | ( v1_xboole_0 @ ( u1_struct_0 @ sk__20 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl3202,zip_derived_cl114]) ).

thf(zip_derived_cl3204,plain,
    v1_xboole_0 @ ( u1_struct_0 @ sk__20 ),
    inference(simplify,[status(thm)],[zip_derived_cl3203]) ).

thf(zip_derived_cl3215,plain,
    ( ( v3_struct_0 @ sk__20 )
    | ~ ( l1_group_1 @ sk__20 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl683,zip_derived_cl3204]) ).

thf(zip_derived_cl108_039,plain,
    ~ ( v3_struct_0 @ sk__20 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl112_040,plain,
    l1_group_1 @ sk__20,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl3216,plain,
    $false,
    inference(demod,[status(thm)],[zip_derived_cl3215,zip_derived_cl108,zip_derived_cl112]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem  : GRP631+1 : TPTP v8.1.2. Released v3.4.0.
% 0.03/0.13  % Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.qWD6qsHilj true
% 0.14/0.34  % Computer : n007.cluster.edu
% 0.14/0.34  % Model    : x86_64 x86_64
% 0.14/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34  % Memory   : 8042.1875MB
% 0.14/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34  % CPULimit : 300
% 0.14/0.34  % WCLimit  : 300
% 0.14/0.34  % DateTime : Mon Aug 28 19:39:58 EDT 2023
% 0.14/0.34  % CPUTime  : 
% 0.14/0.34  % Running portfolio for 300 s
% 0.14/0.34  % File         : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.14/0.34  % Number of cores: 8
% 0.14/0.35  % Python version: Python 3.6.8
% 0.14/0.35  % Running in FO mode
% 0.56/0.66  % Total configuration time : 435
% 0.56/0.66  % Estimated wc time : 1092
% 0.56/0.66  % Estimated cpu time (7 cpus) : 156.0
% 0.56/0.70  % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.56/0.71  % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.56/0.71  % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.56/0.75  % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.56/0.75  % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.56/0.75  % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.56/0.76  % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 0.57/0.80  % /export/starexec/sandbox2/solver/bin/fo/fo1_lcnf.sh running for 50s
% 3.51/1.09  % Solved by fo/fo3_bce.sh.
% 3.51/1.09  % BCE start: 115
% 3.51/1.09  % BCE eliminated: 6
% 3.51/1.09  % PE start: 109
% 3.51/1.09  logic: eq
% 3.51/1.09  % PE eliminated: -12
% 3.51/1.09  % done 461 iterations in 0.317s
% 3.51/1.09  % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 3.51/1.09  % SZS output start Refutation
% See solution above
% 3.51/1.09  
% 3.51/1.09  
% 3.51/1.09  % Terminating...
% 3.51/1.14  % Runner terminated.
% 3.51/1.16  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------