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Zipperpin---2.1.9999.THM-Ref.s

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%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : GRP653+1 : TPTP v9.2.0. Released v3.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.NFVRMiHxIf true

% Computer : n013.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Thu Oct  2 04:36:57 PM UTC 2025

% Result   : Theorem 0.51s 0.93s
% Output   : Refutation 0.51s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   14
%            Number of leaves      :    7
% Syntax   : Number of formulae    :  133 (  91 unt;   0 typ;   0 def)
%            Number of atoms       :  406 (   0 equ;   0 cnn)
%            Maximal formula atoms :   14 (   3 avg)
%            Number of connectives : 1334 ( 185   ~; 190   |;  61   &; 876   @)
%                                         (   2 <=>;  20  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   21 (   5 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :    0 (   0   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   23 (  22 usr;   4 con; 0-3 aty)
%            Number of variables   :   52 (   0   ^;  52   !;   0   ?;  52   :)

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

thf(v10_lattices_type,type,
    v10_lattices: $i > $o ).

thf(k11_group_4_type,type,
    k11_group_4: $i > $i ).

thf(v3_lattices_type,type,
    v3_lattices: $i > $o ).

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

thf(v2_funct_1_type,type,
    v2_funct_1: $i > $o ).

thf(sk__6_type,type,
    sk__6: $i ).

thf(m1_lattice4_type,type,
    m1_lattice4: $i > $i > $i > $o ).

thf(v1_group_6_type,type,
    v1_group_6: $i > $i > $i > $o ).

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

thf(sk__4_type,type,
    sk__4: $i ).

thf(k3_latsubgr_type,type,
    k3_latsubgr: $i > $i > $i > $i ).

thf(sk__5_type,type,
    sk__5: $i ).

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

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

thf(l3_lattices_type,type,
    l3_lattices: $i > $o ).

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

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

thf(m3_vectsp_8_type,type,
    m3_vectsp_8: $i > $i > $i > $o ).

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

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

thf(m4_vectsp_8_type,type,
    m4_vectsp_8: $i > $i > $i > $o ).

thf(dt_k11_group_4,axiom,
    ! [A: $i] :
      ( ( ~ ( v3_struct_0 @ A )
        & ( v3_group_1 @ A )
        & ( v4_group_1 @ A )
        & ( l1_group_1 @ A ) )
     => ( ~ ( v3_struct_0 @ ( k11_group_4 @ A ) )
        & ( v3_lattices @ ( k11_group_4 @ A ) )
        & ( v10_lattices @ ( k11_group_4 @ A ) )
        & ( l3_lattices @ ( k11_group_4 @ A ) ) ) ) ).

thf(zip_derived_cl0,plain,
    ! [X0: $i] :
      ( ~ ( v3_struct_0 @ ( k11_group_4 @ X0 ) )
      | ~ ( l1_group_1 @ X0 )
      | ~ ( v4_group_1 @ X0 )
      | ~ ( v3_group_1 @ X0 )
      | ( v3_struct_0 @ X0 ) ),
    inference(cnf,[status(esa)],[dt_k11_group_4]) ).

thf(zip_derived_cl0_001,plain,
    ! [X0: $i] :
      ( ~ ( v3_struct_0 @ ( k11_group_4 @ X0 ) )
      | ~ ( l1_group_1 @ X0 )
      | ~ ( v4_group_1 @ X0 )
      | ~ ( v3_group_1 @ X0 )
      | ( v3_struct_0 @ X0 ) ),
    inference(cnf,[status(esa)],[dt_k11_group_4]) ).

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_cl18,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(t38_latsubgr,conjecture,
    ! [A: $i] :
      ( ( ~ ( v3_struct_0 @ A )
        & ( v3_group_1 @ A )
        & ( v4_group_1 @ A )
        & ( l1_group_1 @ A ) )
     => ! [B: $i] :
          ( ( ~ ( v3_struct_0 @ B )
            & ( v3_group_1 @ B )
            & ( v4_group_1 @ B )
            & ( l1_group_1 @ B ) )
         => ! [C: $i] :
              ( ( ( v1_funct_1 @ C )
                & ( v1_funct_2 @ C @ ( u1_struct_0 @ A ) @ ( u1_struct_0 @ B ) )
                & ( v1_group_6 @ C @ A @ B )
                & ( m2_relset_1 @ C @ ( u1_struct_0 @ A ) @ ( u1_struct_0 @ B ) ) )
             => ( ( v2_funct_1 @ C )
               => ( m1_lattice4 @ ( k3_latsubgr @ A @ B @ C ) @ ( k11_group_4 @ A ) @ ( k11_group_4 @ B ) ) ) ) ) ) ).

thf(zf_stmt_0,negated_conjecture,
    ~ ! [A: $i] :
        ( ( ~ ( v3_struct_0 @ A )
          & ( v3_group_1 @ A )
          & ( v4_group_1 @ A )
          & ( l1_group_1 @ A ) )
       => ! [B: $i] :
            ( ( ~ ( v3_struct_0 @ B )
              & ( v3_group_1 @ B )
              & ( v4_group_1 @ B )
              & ( l1_group_1 @ B ) )
           => ! [C: $i] :
                ( ( ( v1_funct_1 @ C )
                  & ( v1_funct_2 @ C @ ( u1_struct_0 @ A ) @ ( u1_struct_0 @ B ) )
                  & ( v1_group_6 @ C @ A @ B )
                  & ( m2_relset_1 @ C @ ( u1_struct_0 @ A ) @ ( u1_struct_0 @ B ) ) )
               => ( ( v2_funct_1 @ C )
                 => ( m1_lattice4 @ ( k3_latsubgr @ A @ B @ C ) @ ( k11_group_4 @ A ) @ ( k11_group_4 @ B ) ) ) ) ) ),
    inference('cnf.neg',[status(esa)],[t38_latsubgr]) ).

thf(zip_derived_cl30,plain,
    v1_funct_2 @ sk__6 @ ( u1_struct_0 @ sk__4 ) @ ( u1_struct_0 @ sk__5 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(dt_k3_latsubgr,axiom,
    ! [A: $i,B: $i,C: $i] :
      ( ( ~ ( v3_struct_0 @ A )
        & ( v3_group_1 @ A )
        & ( v4_group_1 @ A )
        & ( l1_group_1 @ A )
        & ~ ( v3_struct_0 @ B )
        & ( v3_group_1 @ B )
        & ( v4_group_1 @ B )
        & ( l1_group_1 @ B )
        & ( v1_funct_1 @ C )
        & ( v1_funct_2 @ C @ ( u1_struct_0 @ A ) @ ( u1_struct_0 @ B ) )
        & ( m1_relset_1 @ C @ ( u1_struct_0 @ A ) @ ( u1_struct_0 @ B ) ) )
     => ( ( v1_funct_1 @ ( k3_latsubgr @ A @ B @ C ) )
        & ( v1_funct_2 @ ( k3_latsubgr @ A @ B @ C ) @ ( u1_struct_0 @ ( k11_group_4 @ A ) ) @ ( u1_struct_0 @ ( k11_group_4 @ B ) ) )
        & ( m2_relset_1 @ ( k3_latsubgr @ A @ B @ C ) @ ( u1_struct_0 @ ( k11_group_4 @ A ) ) @ ( u1_struct_0 @ ( k11_group_4 @ B ) ) ) ) ) ).

thf(zip_derived_cl6,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ~ ( l1_group_1 @ X0 )
      | ~ ( v4_group_1 @ X0 )
      | ~ ( v3_group_1 @ X0 )
      | ( v3_struct_0 @ X0 )
      | ~ ( l1_group_1 @ X1 )
      | ~ ( v4_group_1 @ X1 )
      | ~ ( v3_group_1 @ X1 )
      | ( v3_struct_0 @ X1 )
      | ~ ( v1_funct_1 @ X2 )
      | ~ ( v1_funct_2 @ X2 @ ( u1_struct_0 @ X1 ) @ ( u1_struct_0 @ X0 ) )
      | ~ ( m1_relset_1 @ X2 @ ( u1_struct_0 @ X1 ) @ ( u1_struct_0 @ X0 ) )
      | ( m2_relset_1 @ ( k3_latsubgr @ X1 @ X0 @ X2 ) @ ( u1_struct_0 @ ( k11_group_4 @ X1 ) ) @ ( u1_struct_0 @ ( k11_group_4 @ X0 ) ) ) ),
    inference(cnf,[status(esa)],[dt_k3_latsubgr]) ).

thf(zip_derived_cl197,plain,
    ( ( m2_relset_1 @ ( k3_latsubgr @ sk__4 @ sk__5 @ sk__6 ) @ ( u1_struct_0 @ ( k11_group_4 @ sk__4 ) ) @ ( u1_struct_0 @ ( k11_group_4 @ sk__5 ) ) )
    | ~ ( m1_relset_1 @ sk__6 @ ( u1_struct_0 @ sk__4 ) @ ( u1_struct_0 @ sk__5 ) )
    | ~ ( v1_funct_1 @ sk__6 )
    | ( v3_struct_0 @ sk__4 )
    | ~ ( v3_group_1 @ sk__4 )
    | ~ ( v4_group_1 @ sk__4 )
    | ~ ( l1_group_1 @ sk__4 )
    | ( v3_struct_0 @ sk__5 )
    | ~ ( v3_group_1 @ sk__5 )
    | ~ ( v4_group_1 @ sk__5 )
    | ~ ( l1_group_1 @ sk__5 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl30,zip_derived_cl6]) ).

thf(zip_derived_cl29,plain,
    v1_funct_1 @ sk__6,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl25,plain,
    ~ ( v3_struct_0 @ sk__4 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl26,plain,
    v3_group_1 @ sk__4,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl27,plain,
    v4_group_1 @ sk__4,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl28,plain,
    l1_group_1 @ sk__4,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl38,plain,
    ~ ( v3_struct_0 @ sk__5 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl37,plain,
    v3_group_1 @ sk__5,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl36,plain,
    v4_group_1 @ sk__5,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl35,plain,
    l1_group_1 @ sk__5,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl203,plain,
    ( ( m2_relset_1 @ ( k3_latsubgr @ sk__4 @ sk__5 @ sk__6 ) @ ( u1_struct_0 @ ( k11_group_4 @ sk__4 ) ) @ ( u1_struct_0 @ ( k11_group_4 @ sk__5 ) ) )
    | ~ ( m1_relset_1 @ sk__6 @ ( u1_struct_0 @ sk__4 ) @ ( u1_struct_0 @ sk__5 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl197,zip_derived_cl29,zip_derived_cl25,zip_derived_cl26,zip_derived_cl27,zip_derived_cl28,zip_derived_cl38,zip_derived_cl37,zip_derived_cl36,zip_derived_cl35]) ).

thf(t11_vectsp_8,axiom,
    ! [A: $i] :
      ( ( ~ ( v3_struct_0 @ A )
        & ( v10_lattices @ A )
        & ( l3_lattices @ A ) )
     => ! [B: $i] :
          ( ( ~ ( v3_struct_0 @ B )
            & ( v10_lattices @ B )
            & ( l3_lattices @ B ) )
         => ! [C: $i] :
              ( ( ( v1_funct_1 @ C )
                & ( v1_funct_2 @ C @ ( u1_struct_0 @ A ) @ ( u1_struct_0 @ B ) )
                & ( m2_relset_1 @ C @ ( u1_struct_0 @ A ) @ ( u1_struct_0 @ B ) ) )
             => ( ( m1_lattice4 @ C @ A @ B )
              <=> ( ( m4_vectsp_8 @ C @ A @ B )
                  & ( m3_vectsp_8 @ C @ A @ B ) ) ) ) ) ) ).

thf(zip_derived_cl22,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( v3_struct_0 @ X0 )
      | ~ ( v10_lattices @ X0 )
      | ~ ( l3_lattices @ X0 )
      | ~ ( m4_vectsp_8 @ X1 @ X2 @ X0 )
      | ~ ( m3_vectsp_8 @ X1 @ X2 @ X0 )
      | ( m1_lattice4 @ X1 @ X2 @ X0 )
      | ~ ( m2_relset_1 @ X1 @ ( u1_struct_0 @ X2 ) @ ( u1_struct_0 @ X0 ) )
      | ~ ( v1_funct_2 @ X1 @ ( u1_struct_0 @ X2 ) @ ( u1_struct_0 @ X0 ) )
      | ~ ( v1_funct_1 @ X1 )
      | ~ ( l3_lattices @ X2 )
      | ~ ( v10_lattices @ X2 )
      | ( v3_struct_0 @ X2 ) ),
    inference(cnf,[status(esa)],[t11_vectsp_8]) ).

thf(zip_derived_cl218,plain,
    ( ~ ( m1_relset_1 @ sk__6 @ ( u1_struct_0 @ sk__4 ) @ ( u1_struct_0 @ sk__5 ) )
    | ( v3_struct_0 @ ( k11_group_4 @ sk__4 ) )
    | ~ ( v10_lattices @ ( k11_group_4 @ sk__4 ) )
    | ~ ( l3_lattices @ ( k11_group_4 @ sk__4 ) )
    | ~ ( v1_funct_1 @ ( k3_latsubgr @ sk__4 @ sk__5 @ sk__6 ) )
    | ~ ( v1_funct_2 @ ( k3_latsubgr @ sk__4 @ sk__5 @ sk__6 ) @ ( u1_struct_0 @ ( k11_group_4 @ sk__4 ) ) @ ( u1_struct_0 @ ( k11_group_4 @ sk__5 ) ) )
    | ( m1_lattice4 @ ( k3_latsubgr @ sk__4 @ sk__5 @ sk__6 ) @ ( k11_group_4 @ sk__4 ) @ ( k11_group_4 @ sk__5 ) )
    | ~ ( m3_vectsp_8 @ ( k3_latsubgr @ sk__4 @ sk__5 @ sk__6 ) @ ( k11_group_4 @ sk__4 ) @ ( k11_group_4 @ sk__5 ) )
    | ~ ( m4_vectsp_8 @ ( k3_latsubgr @ sk__4 @ sk__5 @ sk__6 ) @ ( k11_group_4 @ sk__4 ) @ ( k11_group_4 @ sk__5 ) )
    | ~ ( l3_lattices @ ( k11_group_4 @ sk__5 ) )
    | ~ ( v10_lattices @ ( k11_group_4 @ sk__5 ) )
    | ( v3_struct_0 @ ( k11_group_4 @ sk__5 ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl203,zip_derived_cl22]) ).

thf(zip_derived_cl28_002,plain,
    l1_group_1 @ sk__4,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl2,plain,
    ! [X0: $i] :
      ( ( v10_lattices @ ( k11_group_4 @ X0 ) )
      | ~ ( l1_group_1 @ X0 )
      | ~ ( v4_group_1 @ X0 )
      | ~ ( v3_group_1 @ X0 )
      | ( v3_struct_0 @ X0 ) ),
    inference(cnf,[status(esa)],[dt_k11_group_4]) ).

thf(zip_derived_cl45,plain,
    ( ( v3_struct_0 @ sk__4 )
    | ~ ( v3_group_1 @ sk__4 )
    | ~ ( v4_group_1 @ sk__4 )
    | ( v10_lattices @ ( k11_group_4 @ sk__4 ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl28,zip_derived_cl2]) ).

thf(zip_derived_cl25_003,plain,
    ~ ( v3_struct_0 @ sk__4 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl26_004,plain,
    v3_group_1 @ sk__4,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl27_005,plain,
    v4_group_1 @ sk__4,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl47,plain,
    v10_lattices @ ( k11_group_4 @ sk__4 ),
    inference(demod,[status(thm)],[zip_derived_cl45,zip_derived_cl25,zip_derived_cl26,zip_derived_cl27]) ).

thf(zip_derived_cl28_006,plain,
    l1_group_1 @ sk__4,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl3,plain,
    ! [X0: $i] :
      ( ( l3_lattices @ ( k11_group_4 @ X0 ) )
      | ~ ( l1_group_1 @ X0 )
      | ~ ( v4_group_1 @ X0 )
      | ~ ( v3_group_1 @ X0 )
      | ( v3_struct_0 @ X0 ) ),
    inference(cnf,[status(esa)],[dt_k11_group_4]) ).

thf(zip_derived_cl52,plain,
    ( ( v3_struct_0 @ sk__4 )
    | ~ ( v3_group_1 @ sk__4 )
    | ~ ( v4_group_1 @ sk__4 )
    | ( l3_lattices @ ( k11_group_4 @ sk__4 ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl28,zip_derived_cl3]) ).

thf(zip_derived_cl25_007,plain,
    ~ ( v3_struct_0 @ sk__4 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl26_008,plain,
    v3_group_1 @ sk__4,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl27_009,plain,
    v4_group_1 @ sk__4,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl54,plain,
    l3_lattices @ ( k11_group_4 @ sk__4 ),
    inference(demod,[status(thm)],[zip_derived_cl52,zip_derived_cl25,zip_derived_cl26,zip_derived_cl27]) ).

thf(zip_derived_cl18_010,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_cl30_011,plain,
    v1_funct_2 @ sk__6 @ ( u1_struct_0 @ sk__4 ) @ ( u1_struct_0 @ sk__5 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl4,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ~ ( l1_group_1 @ X0 )
      | ~ ( v4_group_1 @ X0 )
      | ~ ( v3_group_1 @ X0 )
      | ( v3_struct_0 @ X0 )
      | ~ ( l1_group_1 @ X1 )
      | ~ ( v4_group_1 @ X1 )
      | ~ ( v3_group_1 @ X1 )
      | ( v3_struct_0 @ X1 )
      | ~ ( v1_funct_1 @ X2 )
      | ~ ( v1_funct_2 @ X2 @ ( u1_struct_0 @ X1 ) @ ( u1_struct_0 @ X0 ) )
      | ~ ( m1_relset_1 @ X2 @ ( u1_struct_0 @ X1 ) @ ( u1_struct_0 @ X0 ) )
      | ( v1_funct_1 @ ( k3_latsubgr @ X1 @ X0 @ X2 ) ) ),
    inference(cnf,[status(esa)],[dt_k3_latsubgr]) ).

thf(zip_derived_cl56,plain,
    ( ( v1_funct_1 @ ( k3_latsubgr @ sk__4 @ sk__5 @ sk__6 ) )
    | ~ ( m1_relset_1 @ sk__6 @ ( u1_struct_0 @ sk__4 ) @ ( u1_struct_0 @ sk__5 ) )
    | ~ ( v1_funct_1 @ sk__6 )
    | ( v3_struct_0 @ sk__4 )
    | ~ ( v3_group_1 @ sk__4 )
    | ~ ( v4_group_1 @ sk__4 )
    | ~ ( l1_group_1 @ sk__4 )
    | ( v3_struct_0 @ sk__5 )
    | ~ ( v3_group_1 @ sk__5 )
    | ~ ( v4_group_1 @ sk__5 )
    | ~ ( l1_group_1 @ sk__5 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl30,zip_derived_cl4]) ).

thf(zip_derived_cl29_012,plain,
    v1_funct_1 @ sk__6,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl25_013,plain,
    ~ ( v3_struct_0 @ sk__4 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl26_014,plain,
    v3_group_1 @ sk__4,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl27_015,plain,
    v4_group_1 @ sk__4,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl28_016,plain,
    l1_group_1 @ sk__4,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl38_017,plain,
    ~ ( v3_struct_0 @ sk__5 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl37_018,plain,
    v3_group_1 @ sk__5,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl36_019,plain,
    v4_group_1 @ sk__5,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl35_020,plain,
    l1_group_1 @ sk__5,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl57,plain,
    ( ( v1_funct_1 @ ( k3_latsubgr @ sk__4 @ sk__5 @ sk__6 ) )
    | ~ ( m1_relset_1 @ sk__6 @ ( u1_struct_0 @ sk__4 ) @ ( u1_struct_0 @ sk__5 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl56,zip_derived_cl29,zip_derived_cl25,zip_derived_cl26,zip_derived_cl27,zip_derived_cl28,zip_derived_cl38,zip_derived_cl37,zip_derived_cl36,zip_derived_cl35]) ).

thf(zip_derived_cl59,plain,
    ( ~ ( m2_relset_1 @ sk__6 @ ( u1_struct_0 @ sk__4 ) @ ( u1_struct_0 @ sk__5 ) )
    | ( v1_funct_1 @ ( k3_latsubgr @ sk__4 @ sk__5 @ sk__6 ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl18,zip_derived_cl57]) ).

thf(zip_derived_cl32,plain,
    m2_relset_1 @ sk__6 @ ( u1_struct_0 @ sk__4 ) @ ( u1_struct_0 @ sk__5 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl60,plain,
    v1_funct_1 @ ( k3_latsubgr @ sk__4 @ sk__5 @ sk__6 ),
    inference(demod,[status(thm)],[zip_derived_cl59,zip_derived_cl32]) ).

thf(zip_derived_cl33,plain,
    ~ ( m1_lattice4 @ ( k3_latsubgr @ sk__4 @ sk__5 @ sk__6 ) @ ( k11_group_4 @ sk__4 ) @ ( k11_group_4 @ sk__5 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl32_021,plain,
    m2_relset_1 @ sk__6 @ ( u1_struct_0 @ sk__4 ) @ ( u1_struct_0 @ sk__5 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(t36_latsubgr,axiom,
    ! [A: $i] :
      ( ( ~ ( v3_struct_0 @ A )
        & ( v3_group_1 @ A )
        & ( v4_group_1 @ A )
        & ( l1_group_1 @ A ) )
     => ! [B: $i] :
          ( ( ~ ( v3_struct_0 @ B )
            & ( v3_group_1 @ B )
            & ( v4_group_1 @ B )
            & ( l1_group_1 @ B ) )
         => ! [C: $i] :
              ( ( ( v1_funct_1 @ C )
                & ( v1_funct_2 @ C @ ( u1_struct_0 @ A ) @ ( u1_struct_0 @ B ) )
                & ( v1_group_6 @ C @ A @ B )
                & ( m2_relset_1 @ C @ ( u1_struct_0 @ A ) @ ( u1_struct_0 @ B ) ) )
             => ( ( v2_funct_1 @ C )
               => ( m3_vectsp_8 @ ( k3_latsubgr @ A @ B @ C ) @ ( k11_group_4 @ A ) @ ( k11_group_4 @ B ) ) ) ) ) ) ).

thf(zip_derived_cl23,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( v3_struct_0 @ X0 )
      | ~ ( v3_group_1 @ X0 )
      | ~ ( v4_group_1 @ X0 )
      | ~ ( l1_group_1 @ X0 )
      | ~ ( v2_funct_1 @ X1 )
      | ( m3_vectsp_8 @ ( k3_latsubgr @ X2 @ X0 @ X1 ) @ ( k11_group_4 @ X2 ) @ ( k11_group_4 @ X0 ) )
      | ~ ( m2_relset_1 @ X1 @ ( u1_struct_0 @ X2 ) @ ( u1_struct_0 @ X0 ) )
      | ~ ( v1_group_6 @ X1 @ X2 @ X0 )
      | ~ ( v1_funct_2 @ X1 @ ( u1_struct_0 @ X2 ) @ ( u1_struct_0 @ X0 ) )
      | ~ ( v1_funct_1 @ X1 )
      | ~ ( l1_group_1 @ X2 )
      | ~ ( v4_group_1 @ X2 )
      | ~ ( v3_group_1 @ X2 )
      | ( v3_struct_0 @ X2 ) ),
    inference(cnf,[status(esa)],[t36_latsubgr]) ).

thf(zip_derived_cl187,plain,
    ( ( v3_struct_0 @ sk__4 )
    | ~ ( v3_group_1 @ sk__4 )
    | ~ ( v4_group_1 @ sk__4 )
    | ~ ( l1_group_1 @ sk__4 )
    | ~ ( v1_funct_1 @ sk__6 )
    | ~ ( v1_funct_2 @ sk__6 @ ( u1_struct_0 @ sk__4 ) @ ( u1_struct_0 @ sk__5 ) )
    | ~ ( v1_group_6 @ sk__6 @ sk__4 @ sk__5 )
    | ( m3_vectsp_8 @ ( k3_latsubgr @ sk__4 @ sk__5 @ sk__6 ) @ ( k11_group_4 @ sk__4 ) @ ( k11_group_4 @ sk__5 ) )
    | ~ ( v2_funct_1 @ sk__6 )
    | ~ ( l1_group_1 @ sk__5 )
    | ~ ( v4_group_1 @ sk__5 )
    | ~ ( v3_group_1 @ sk__5 )
    | ( v3_struct_0 @ sk__5 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl32,zip_derived_cl23]) ).

thf(zip_derived_cl25_022,plain,
    ~ ( v3_struct_0 @ sk__4 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl26_023,plain,
    v3_group_1 @ sk__4,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl27_024,plain,
    v4_group_1 @ sk__4,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl28_025,plain,
    l1_group_1 @ sk__4,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl29_026,plain,
    v1_funct_1 @ sk__6,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl30_027,plain,
    v1_funct_2 @ sk__6 @ ( u1_struct_0 @ sk__4 ) @ ( u1_struct_0 @ sk__5 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl31,plain,
    v1_group_6 @ sk__6 @ sk__4 @ sk__5,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl34,plain,
    v2_funct_1 @ sk__6,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl35_028,plain,
    l1_group_1 @ sk__5,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl36_029,plain,
    v4_group_1 @ sk__5,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl37_030,plain,
    v3_group_1 @ sk__5,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl38_031,plain,
    ~ ( v3_struct_0 @ sk__5 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl191,plain,
    m3_vectsp_8 @ ( k3_latsubgr @ sk__4 @ sk__5 @ sk__6 ) @ ( k11_group_4 @ sk__4 ) @ ( k11_group_4 @ sk__5 ),
    inference(demod,[status(thm)],[zip_derived_cl187,zip_derived_cl25,zip_derived_cl26,zip_derived_cl27,zip_derived_cl28,zip_derived_cl29,zip_derived_cl30,zip_derived_cl31,zip_derived_cl34,zip_derived_cl35,zip_derived_cl36,zip_derived_cl37,zip_derived_cl38]) ).

thf(zip_derived_cl32_032,plain,
    m2_relset_1 @ sk__6 @ ( u1_struct_0 @ sk__4 ) @ ( u1_struct_0 @ sk__5 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(t37_latsubgr,axiom,
    ! [A: $i] :
      ( ( ~ ( v3_struct_0 @ A )
        & ( v3_group_1 @ A )
        & ( v4_group_1 @ A )
        & ( l1_group_1 @ A ) )
     => ! [B: $i] :
          ( ( ~ ( v3_struct_0 @ B )
            & ( v3_group_1 @ B )
            & ( v4_group_1 @ B )
            & ( l1_group_1 @ B ) )
         => ! [C: $i] :
              ( ( ( v1_funct_1 @ C )
                & ( v1_funct_2 @ C @ ( u1_struct_0 @ A ) @ ( u1_struct_0 @ B ) )
                & ( v1_group_6 @ C @ A @ B )
                & ( m2_relset_1 @ C @ ( u1_struct_0 @ A ) @ ( u1_struct_0 @ B ) ) )
             => ( m4_vectsp_8 @ ( k3_latsubgr @ A @ B @ C ) @ ( k11_group_4 @ A ) @ ( k11_group_4 @ B ) ) ) ) ) ).

thf(zip_derived_cl24,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( v3_struct_0 @ X0 )
      | ~ ( v3_group_1 @ X0 )
      | ~ ( v4_group_1 @ X0 )
      | ~ ( l1_group_1 @ X0 )
      | ( m4_vectsp_8 @ ( k3_latsubgr @ X1 @ X0 @ X2 ) @ ( k11_group_4 @ X1 ) @ ( k11_group_4 @ X0 ) )
      | ~ ( m2_relset_1 @ X2 @ ( u1_struct_0 @ X1 ) @ ( u1_struct_0 @ X0 ) )
      | ~ ( v1_group_6 @ X2 @ X1 @ X0 )
      | ~ ( v1_funct_2 @ X2 @ ( u1_struct_0 @ X1 ) @ ( u1_struct_0 @ X0 ) )
      | ~ ( v1_funct_1 @ X2 )
      | ~ ( l1_group_1 @ X1 )
      | ~ ( v4_group_1 @ X1 )
      | ~ ( v3_group_1 @ X1 )
      | ( v3_struct_0 @ X1 ) ),
    inference(cnf,[status(esa)],[t37_latsubgr]) ).

thf(zip_derived_cl108,plain,
    ( ( v3_struct_0 @ sk__4 )
    | ~ ( v3_group_1 @ sk__4 )
    | ~ ( v4_group_1 @ sk__4 )
    | ~ ( l1_group_1 @ sk__4 )
    | ~ ( v1_funct_1 @ sk__6 )
    | ~ ( v1_funct_2 @ sk__6 @ ( u1_struct_0 @ sk__4 ) @ ( u1_struct_0 @ sk__5 ) )
    | ~ ( v1_group_6 @ sk__6 @ sk__4 @ sk__5 )
    | ( m4_vectsp_8 @ ( k3_latsubgr @ sk__4 @ sk__5 @ sk__6 ) @ ( k11_group_4 @ sk__4 ) @ ( k11_group_4 @ sk__5 ) )
    | ~ ( l1_group_1 @ sk__5 )
    | ~ ( v4_group_1 @ sk__5 )
    | ~ ( v3_group_1 @ sk__5 )
    | ( v3_struct_0 @ sk__5 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl32,zip_derived_cl24]) ).

thf(zip_derived_cl25_033,plain,
    ~ ( v3_struct_0 @ sk__4 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl26_034,plain,
    v3_group_1 @ sk__4,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl27_035,plain,
    v4_group_1 @ sk__4,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl28_036,plain,
    l1_group_1 @ sk__4,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl29_037,plain,
    v1_funct_1 @ sk__6,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl30_038,plain,
    v1_funct_2 @ sk__6 @ ( u1_struct_0 @ sk__4 ) @ ( u1_struct_0 @ sk__5 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl31_039,plain,
    v1_group_6 @ sk__6 @ sk__4 @ sk__5,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl35_040,plain,
    l1_group_1 @ sk__5,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl36_041,plain,
    v4_group_1 @ sk__5,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl37_042,plain,
    v3_group_1 @ sk__5,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl38_043,plain,
    ~ ( v3_struct_0 @ sk__5 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl109,plain,
    m4_vectsp_8 @ ( k3_latsubgr @ sk__4 @ sk__5 @ sk__6 ) @ ( k11_group_4 @ sk__4 ) @ ( k11_group_4 @ sk__5 ),
    inference(demod,[status(thm)],[zip_derived_cl108,zip_derived_cl25,zip_derived_cl26,zip_derived_cl27,zip_derived_cl28,zip_derived_cl29,zip_derived_cl30,zip_derived_cl31,zip_derived_cl35,zip_derived_cl36,zip_derived_cl37,zip_derived_cl38]) ).

thf(zip_derived_cl35_044,plain,
    l1_group_1 @ sk__5,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl3_045,plain,
    ! [X0: $i] :
      ( ( l3_lattices @ ( k11_group_4 @ X0 ) )
      | ~ ( l1_group_1 @ X0 )
      | ~ ( v4_group_1 @ X0 )
      | ~ ( v3_group_1 @ X0 )
      | ( v3_struct_0 @ X0 ) ),
    inference(cnf,[status(esa)],[dt_k11_group_4]) ).

thf(zip_derived_cl53,plain,
    ( ( v3_struct_0 @ sk__5 )
    | ~ ( v3_group_1 @ sk__5 )
    | ~ ( v4_group_1 @ sk__5 )
    | ( l3_lattices @ ( k11_group_4 @ sk__5 ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl35,zip_derived_cl3]) ).

thf(zip_derived_cl38_046,plain,
    ~ ( v3_struct_0 @ sk__5 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl37_047,plain,
    v3_group_1 @ sk__5,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl36_048,plain,
    v4_group_1 @ sk__5,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl55,plain,
    l3_lattices @ ( k11_group_4 @ sk__5 ),
    inference(demod,[status(thm)],[zip_derived_cl53,zip_derived_cl38,zip_derived_cl37,zip_derived_cl36]) ).

thf(zip_derived_cl35_049,plain,
    l1_group_1 @ sk__5,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl2_050,plain,
    ! [X0: $i] :
      ( ( v10_lattices @ ( k11_group_4 @ X0 ) )
      | ~ ( l1_group_1 @ X0 )
      | ~ ( v4_group_1 @ X0 )
      | ~ ( v3_group_1 @ X0 )
      | ( v3_struct_0 @ X0 ) ),
    inference(cnf,[status(esa)],[dt_k11_group_4]) ).

thf(zip_derived_cl46,plain,
    ( ( v3_struct_0 @ sk__5 )
    | ~ ( v3_group_1 @ sk__5 )
    | ~ ( v4_group_1 @ sk__5 )
    | ( v10_lattices @ ( k11_group_4 @ sk__5 ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl35,zip_derived_cl2]) ).

thf(zip_derived_cl38_051,plain,
    ~ ( v3_struct_0 @ sk__5 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl37_052,plain,
    v3_group_1 @ sk__5,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl36_053,plain,
    v4_group_1 @ sk__5,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl48,plain,
    v10_lattices @ ( k11_group_4 @ sk__5 ),
    inference(demod,[status(thm)],[zip_derived_cl46,zip_derived_cl38,zip_derived_cl37,zip_derived_cl36]) ).

thf(zip_derived_cl225,plain,
    ( ~ ( m1_relset_1 @ sk__6 @ ( u1_struct_0 @ sk__4 ) @ ( u1_struct_0 @ sk__5 ) )
    | ( v3_struct_0 @ ( k11_group_4 @ sk__4 ) )
    | ~ ( v1_funct_2 @ ( k3_latsubgr @ sk__4 @ sk__5 @ sk__6 ) @ ( u1_struct_0 @ ( k11_group_4 @ sk__4 ) ) @ ( u1_struct_0 @ ( k11_group_4 @ sk__5 ) ) )
    | ( v3_struct_0 @ ( k11_group_4 @ sk__5 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl218,zip_derived_cl47,zip_derived_cl54,zip_derived_cl60,zip_derived_cl33,zip_derived_cl191,zip_derived_cl109,zip_derived_cl55,zip_derived_cl48]) ).

thf(zip_derived_cl30_054,plain,
    v1_funct_2 @ sk__6 @ ( u1_struct_0 @ sk__4 ) @ ( u1_struct_0 @ sk__5 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl5,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ~ ( l1_group_1 @ X0 )
      | ~ ( v4_group_1 @ X0 )
      | ~ ( v3_group_1 @ X0 )
      | ( v3_struct_0 @ X0 )
      | ~ ( l1_group_1 @ X1 )
      | ~ ( v4_group_1 @ X1 )
      | ~ ( v3_group_1 @ X1 )
      | ( v3_struct_0 @ X1 )
      | ~ ( v1_funct_1 @ X2 )
      | ~ ( v1_funct_2 @ X2 @ ( u1_struct_0 @ X1 ) @ ( u1_struct_0 @ X0 ) )
      | ~ ( m1_relset_1 @ X2 @ ( u1_struct_0 @ X1 ) @ ( u1_struct_0 @ X0 ) )
      | ( v1_funct_2 @ ( k3_latsubgr @ X1 @ X0 @ X2 ) @ ( u1_struct_0 @ ( k11_group_4 @ X1 ) ) @ ( u1_struct_0 @ ( k11_group_4 @ X0 ) ) ) ),
    inference(cnf,[status(esa)],[dt_k3_latsubgr]) ).

thf(zip_derived_cl127,plain,
    ( ( v1_funct_2 @ ( k3_latsubgr @ sk__4 @ sk__5 @ sk__6 ) @ ( u1_struct_0 @ ( k11_group_4 @ sk__4 ) ) @ ( u1_struct_0 @ ( k11_group_4 @ sk__5 ) ) )
    | ~ ( m1_relset_1 @ sk__6 @ ( u1_struct_0 @ sk__4 ) @ ( u1_struct_0 @ sk__5 ) )
    | ~ ( v1_funct_1 @ sk__6 )
    | ( v3_struct_0 @ sk__4 )
    | ~ ( v3_group_1 @ sk__4 )
    | ~ ( v4_group_1 @ sk__4 )
    | ~ ( l1_group_1 @ sk__4 )
    | ( v3_struct_0 @ sk__5 )
    | ~ ( v3_group_1 @ sk__5 )
    | ~ ( v4_group_1 @ sk__5 )
    | ~ ( l1_group_1 @ sk__5 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl30,zip_derived_cl5]) ).

thf(zip_derived_cl29_055,plain,
    v1_funct_1 @ sk__6,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl25_056,plain,
    ~ ( v3_struct_0 @ sk__4 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl26_057,plain,
    v3_group_1 @ sk__4,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl27_058,plain,
    v4_group_1 @ sk__4,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl28_059,plain,
    l1_group_1 @ sk__4,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl38_060,plain,
    ~ ( v3_struct_0 @ sk__5 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl37_061,plain,
    v3_group_1 @ sk__5,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl36_062,plain,
    v4_group_1 @ sk__5,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl35_063,plain,
    l1_group_1 @ sk__5,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl130,plain,
    ( ( v1_funct_2 @ ( k3_latsubgr @ sk__4 @ sk__5 @ sk__6 ) @ ( u1_struct_0 @ ( k11_group_4 @ sk__4 ) ) @ ( u1_struct_0 @ ( k11_group_4 @ sk__5 ) ) )
    | ~ ( m1_relset_1 @ sk__6 @ ( u1_struct_0 @ sk__4 ) @ ( u1_struct_0 @ sk__5 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl127,zip_derived_cl29,zip_derived_cl25,zip_derived_cl26,zip_derived_cl27,zip_derived_cl28,zip_derived_cl38,zip_derived_cl37,zip_derived_cl36,zip_derived_cl35]) ).

thf(zip_derived_cl228,plain,
    ( ( v3_struct_0 @ ( k11_group_4 @ sk__5 ) )
    | ( v3_struct_0 @ ( k11_group_4 @ sk__4 ) )
    | ~ ( m1_relset_1 @ sk__6 @ ( u1_struct_0 @ sk__4 ) @ ( u1_struct_0 @ sk__5 ) ) ),
    inference(clc,[status(thm)],[zip_derived_cl225,zip_derived_cl130]) ).

thf(zip_derived_cl229,plain,
    ( ~ ( m2_relset_1 @ sk__6 @ ( u1_struct_0 @ sk__4 ) @ ( u1_struct_0 @ sk__5 ) )
    | ( v3_struct_0 @ ( k11_group_4 @ sk__4 ) )
    | ( v3_struct_0 @ ( k11_group_4 @ sk__5 ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl18,zip_derived_cl228]) ).

thf(zip_derived_cl32_064,plain,
    m2_relset_1 @ sk__6 @ ( u1_struct_0 @ sk__4 ) @ ( u1_struct_0 @ sk__5 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl230,plain,
    ( ( v3_struct_0 @ ( k11_group_4 @ sk__4 ) )
    | ( v3_struct_0 @ ( k11_group_4 @ sk__5 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl229,zip_derived_cl32]) ).

thf(zip_derived_cl232,plain,
    ( ( v3_struct_0 @ sk__4 )
    | ~ ( v3_group_1 @ sk__4 )
    | ~ ( v4_group_1 @ sk__4 )
    | ~ ( l1_group_1 @ sk__4 )
    | ( v3_struct_0 @ ( k11_group_4 @ sk__5 ) ) ),
    inference('sup+',[status(thm)],[zip_derived_cl0,zip_derived_cl230]) ).

thf(zip_derived_cl25_065,plain,
    ~ ( v3_struct_0 @ sk__4 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl26_066,plain,
    v3_group_1 @ sk__4,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl27_067,plain,
    v4_group_1 @ sk__4,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl28_068,plain,
    l1_group_1 @ sk__4,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl233,plain,
    v3_struct_0 @ ( k11_group_4 @ sk__5 ),
    inference(demod,[status(thm)],[zip_derived_cl232,zip_derived_cl25,zip_derived_cl26,zip_derived_cl27,zip_derived_cl28]) ).

thf(zip_derived_cl236,plain,
    ( ( v3_struct_0 @ sk__5 )
    | ~ ( v3_group_1 @ sk__5 )
    | ~ ( v4_group_1 @ sk__5 )
    | ~ ( l1_group_1 @ sk__5 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl0,zip_derived_cl233]) ).

thf(zip_derived_cl38_069,plain,
    ~ ( v3_struct_0 @ sk__5 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl37_070,plain,
    v3_group_1 @ sk__5,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl36_071,plain,
    v4_group_1 @ sk__5,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl35_072,plain,
    l1_group_1 @ sk__5,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl237,plain,
    $false,
    inference(demod,[status(thm)],[zip_derived_cl236,zip_derived_cl38,zip_derived_cl37,zip_derived_cl36,zip_derived_cl35]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.02/0.11  % Problem  : GRP653+1 : TPTP v9.2.0. Released v3.4.0.
% 0.02/0.12  % Command  : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.NFVRMiHxIf true
% 0.11/0.32  % Computer : n013.cluster.edu
% 0.11/0.32  % Model    : x86_64 x86_64
% 0.11/0.32  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.32  % Memory   : 8042.1875MB
% 0.11/0.32  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.11/0.32  % CPULimit : 300
% 0.11/0.32  % WCLimit  : 300
% 0.11/0.32  % DateTime : Wed Oct  1 14:15:38 EDT 2025
% 0.11/0.32  % CPUTime  : 
% 0.11/0.32  % Running portfolio for 300 s
% 0.11/0.32  % File         : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.11/0.32  % Number of cores: 8
% 0.11/0.33  % Python version: Python 3.6.8
% 0.11/0.33  % Running in FO mode
% 0.49/0.64  % Total configuration time : 435
% 0.49/0.64  % Estimated wc time : 1092
% 0.49/0.64  % Estimated cpu time (7 cpus) : 156.0
% 0.50/0.71  % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.50/0.71  % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.50/0.72  % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.50/0.72  % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.50/0.72  % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.51/0.75  % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 0.51/0.76  % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 0.51/0.93  % Solved by fo/fo4.sh.
% 0.51/0.93  % done 85 iterations in 0.104s
% 0.51/0.93  % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 0.51/0.93  % SZS output start Refutation
% See solution above
% 0.51/0.93  
% 0.51/0.93  
% 0.51/0.93  % Terminating...
% 1.59/1.05  % Runner terminated.
% 1.59/1.07  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------