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Zipperpin---2.1.9999.THM-Ref.s

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%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : GRP643+1 : TPTP v9.2.0. Released v3.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.H7hDSsygF9 true

% Computer : n017.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 04:36:54 PM UTC 2025

% Result   : Theorem 0.52s 0.88s
% Output   : Refutation 0.52s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   16
%            Number of leaves      :    4
% Syntax   : Number of formulae    :   61 (  30 unt;   0 typ;   0 def)
%            Number of atoms       :  238 (   9 equ;   0 cnn)
%            Maximal formula atoms :   11 (   3 avg)
%            Number of connectives :  854 ( 138   ~; 136   |;  21   &; 539   @)
%                                         (   1 <=>;  19  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   16 (   7 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :    0 (   0   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   19 (  17 usr;   5 con; 0-3 aty)
%            Number of variables   :   56 (   0   ^;  56   !;   0   ?;  56   :)

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

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

thf(sk__1_type,type,
    sk__1: $i ).

thf(k1_funct_1_type,type,
    k1_funct_1: $i > $i > $i ).

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

thf(sk__2_type,type,
    sk__2: $i ).

thf(sk__3_type,type,
    sk__3: $i ).

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

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

thf(m1_group_2_type,type,
    m1_group_2: $i > $i > $o ).

thf(k1_group_1_type,type,
    k1_group_1: $i > $i > $i > $i ).

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

thf(r1_rlvect_1_type,type,
    r1_rlvect_1: $i > $i > $o ).

thf(r2_hidden_type,type,
    r2_hidden: $i > $i > $o ).

thf(k1_latsubgr_type,type,
    k1_latsubgr: $i > $i ).

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

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

thf(t21_latsubgr,conjecture,
    ! [A: $i] :
      ( ( ~ ( v3_struct_0 @ A )
        & ( v3_group_1 @ A )
        & ( v4_group_1 @ A )
        & ( l1_group_1 @ A ) )
     => ! [B: $i] :
          ( ( ( v1_group_1 @ B )
            & ( m1_group_2 @ B @ A ) )
         => ! [C: $i] :
              ( ( m1_subset_1 @ C @ ( u1_struct_0 @ A ) )
             => ! [D: $i] :
                  ( ( m1_subset_1 @ D @ ( u1_struct_0 @ A ) )
                 => ( ( ( r2_hidden @ C @ ( k1_funct_1 @ ( k1_latsubgr @ A ) @ B ) )
                      & ( r2_hidden @ D @ ( k1_funct_1 @ ( k1_latsubgr @ A ) @ B ) ) )
                   => ( r2_hidden @ ( k1_group_1 @ A @ C @ D ) @ ( k1_funct_1 @ ( k1_latsubgr @ A ) @ 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] :
            ( ( ( v1_group_1 @ B )
              & ( m1_group_2 @ B @ A ) )
           => ! [C: $i] :
                ( ( m1_subset_1 @ C @ ( u1_struct_0 @ A ) )
               => ! [D: $i] :
                    ( ( m1_subset_1 @ D @ ( u1_struct_0 @ A ) )
                   => ( ( ( r2_hidden @ C @ ( k1_funct_1 @ ( k1_latsubgr @ A ) @ B ) )
                        & ( r2_hidden @ D @ ( k1_funct_1 @ ( k1_latsubgr @ A ) @ B ) ) )
                     => ( r2_hidden @ ( k1_group_1 @ A @ C @ D ) @ ( k1_funct_1 @ ( k1_latsubgr @ A ) @ B ) ) ) ) ) ) ),
    inference('cnf.neg',[status(esa)],[t21_latsubgr]) ).

thf(zip_derived_cl2,plain,
    v4_group_1 @ sk_,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl9,plain,
    m1_group_2 @ sk__1 @ sk_,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl10,plain,
    v1_group_1 @ sk__1,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(t18_latsubgr,axiom,
    ! [A: $i] :
      ( ( ~ ( v3_struct_0 @ A )
        & ( v3_group_1 @ A )
        & ( v4_group_1 @ A )
        & ( l1_group_1 @ A ) )
     => ! [B: $i] :
          ( ( ( v1_group_1 @ B )
            & ( m1_group_2 @ B @ A ) )
         => ! [C: $i] :
              ( ( m1_subset_1 @ C @ ( u1_struct_0 @ A ) )
             => ( ( r2_hidden @ C @ ( k1_funct_1 @ ( k1_latsubgr @ A ) @ B ) )
              <=> ( r1_rlvect_1 @ B @ C ) ) ) ) ) ).

thf(zip_derived_cl80,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ~ ( v1_group_1 @ X0 )
      | ~ ( m1_group_2 @ X0 @ X1 )
      | ~ ( r2_hidden @ X2 @ ( k1_funct_1 @ ( k1_latsubgr @ X1 ) @ X0 ) )
      | ( r1_rlvect_1 @ X0 @ X2 )
      | ~ ( m1_subset_1 @ X2 @ ( u1_struct_0 @ X1 ) )
      | ~ ( l1_group_1 @ X1 )
      | ~ ( v4_group_1 @ X1 )
      | ~ ( v3_group_1 @ X1 )
      | ( v3_struct_0 @ X1 ) ),
    inference(cnf,[status(esa)],[t18_latsubgr]) ).

thf(zip_derived_cl536,plain,
    ! [X0: $i,X1: $i] :
      ( ( v3_struct_0 @ X0 )
      | ~ ( v3_group_1 @ X0 )
      | ~ ( v4_group_1 @ X0 )
      | ~ ( l1_group_1 @ X0 )
      | ~ ( m1_subset_1 @ X1 @ ( u1_struct_0 @ X0 ) )
      | ( r1_rlvect_1 @ sk__1 @ X1 )
      | ~ ( r2_hidden @ X1 @ ( k1_funct_1 @ ( k1_latsubgr @ X0 ) @ sk__1 ) )
      | ~ ( m1_group_2 @ sk__1 @ X0 ) ),
    inference('dp-resolution',[status(thm)],[zip_derived_cl10,zip_derived_cl80]) ).

thf(zip_derived_cl562,plain,
    ! [X0: $i,X1: $i] :
      ( ( sk__1 != sk__1 )
      | ( sk_ != X0 )
      | ~ ( r2_hidden @ X1 @ ( k1_funct_1 @ ( k1_latsubgr @ X0 ) @ sk__1 ) )
      | ( r1_rlvect_1 @ sk__1 @ X1 )
      | ~ ( m1_subset_1 @ X1 @ ( u1_struct_0 @ X0 ) )
      | ~ ( l1_group_1 @ X0 )
      | ~ ( v4_group_1 @ X0 )
      | ~ ( v3_group_1 @ X0 )
      | ( v3_struct_0 @ X0 ) ),
    inference('dp-resolution',[status(thm)],[zip_derived_cl9,zip_derived_cl536]) ).

thf(zip_derived_cl593,plain,
    ! [X0: $i] :
      ( ( v3_struct_0 @ sk_ )
      | ~ ( v3_group_1 @ sk_ )
      | ~ ( l1_group_1 @ sk_ )
      | ~ ( m1_subset_1 @ X0 @ ( u1_struct_0 @ sk_ ) )
      | ( r1_rlvect_1 @ sk__1 @ X0 )
      | ~ ( r2_hidden @ X0 @ ( k1_funct_1 @ ( k1_latsubgr @ sk_ ) @ sk__1 ) )
      | ( sk_ != sk_ )
      | ( sk__1 != sk__1 ) ),
    inference('dp-resolution',[status(thm)],[zip_derived_cl2,zip_derived_cl562]) ).

thf(zip_derived_cl919,plain,
    ! [X0: $i] :
      ( ~ ( r2_hidden @ X0 @ ( k1_funct_1 @ ( k1_latsubgr @ sk_ ) @ sk__1 ) )
      | ( r1_rlvect_1 @ sk__1 @ X0 )
      | ~ ( m1_subset_1 @ X0 @ ( u1_struct_0 @ sk_ ) )
      | ~ ( l1_group_1 @ sk_ )
      | ~ ( v3_group_1 @ sk_ )
      | ( v3_struct_0 @ sk_ ) ),
    inference(simplify,[status(thm)],[zip_derived_cl593]) ).

thf(zip_derived_cl3,plain,
    l1_group_1 @ sk_,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl1,plain,
    v3_group_1 @ sk_,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl0,plain,
    ~ ( v3_struct_0 @ sk_ ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl920,plain,
    ! [X0: $i] :
      ( ~ ( r2_hidden @ X0 @ ( k1_funct_1 @ ( k1_latsubgr @ sk_ ) @ sk__1 ) )
      | ( r1_rlvect_1 @ sk__1 @ X0 )
      | ~ ( m1_subset_1 @ X0 @ ( u1_struct_0 @ sk_ ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl919,zip_derived_cl3,zip_derived_cl1,zip_derived_cl0]) ).

thf(zip_derived_cl920_001,plain,
    ! [X0: $i] :
      ( ~ ( r2_hidden @ X0 @ ( k1_funct_1 @ ( k1_latsubgr @ sk_ ) @ sk__1 ) )
      | ( r1_rlvect_1 @ sk__1 @ X0 )
      | ~ ( m1_subset_1 @ X0 @ ( u1_struct_0 @ sk_ ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl919,zip_derived_cl3,zip_derived_cl1,zip_derived_cl0]) ).

thf(dt_k1_group_1,axiom,
    ! [A: $i,B: $i,C: $i] :
      ( ( ~ ( v3_struct_0 @ A )
        & ( l1_group_1 @ A )
        & ( m1_subset_1 @ B @ ( u1_struct_0 @ A ) )
        & ( m1_subset_1 @ C @ ( u1_struct_0 @ A ) ) )
     => ( m1_subset_1 @ ( k1_group_1 @ A @ B @ C ) @ ( u1_struct_0 @ A ) ) ) ).

thf(zip_derived_cl26,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ~ ( m1_subset_1 @ X0 @ ( u1_struct_0 @ X1 ) )
      | ~ ( l1_group_1 @ X1 )
      | ( v3_struct_0 @ X1 )
      | ~ ( m1_subset_1 @ X2 @ ( u1_struct_0 @ X1 ) )
      | ( m1_subset_1 @ ( k1_group_1 @ X1 @ X0 @ X2 ) @ ( u1_struct_0 @ X1 ) ) ),
    inference(cnf,[status(esa)],[dt_k1_group_1]) ).

thf(zip_derived_cl7,plain,
    ~ ( r2_hidden @ ( k1_group_1 @ sk_ @ sk__2 @ sk__3 ) @ ( k1_funct_1 @ ( k1_latsubgr @ sk_ ) @ sk__1 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl2_002,plain,
    v4_group_1 @ sk_,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl9_003,plain,
    m1_group_2 @ sk__1 @ sk_,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(t59_group_2,axiom,
    ! [A: $i] :
      ( ( ~ ( v3_struct_0 @ A )
        & ( v3_group_1 @ A )
        & ( v4_group_1 @ A )
        & ( l1_group_1 @ A ) )
     => ! [B: $i] :
          ( ( m1_subset_1 @ B @ ( u1_struct_0 @ A ) )
         => ! [C: $i] :
              ( ( m1_subset_1 @ C @ ( u1_struct_0 @ A ) )
             => ! [D: $i] :
                  ( ( m1_group_2 @ D @ A )
                 => ( ( ( r1_rlvect_1 @ D @ B )
                      & ( r1_rlvect_1 @ D @ C ) )
                   => ( r1_rlvect_1 @ D @ ( k1_group_1 @ A @ B @ C ) ) ) ) ) ) ) ).

thf(zip_derived_cl86,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( ~ ( m1_subset_1 @ X0 @ ( u1_struct_0 @ X1 ) )
      | ~ ( m1_group_2 @ X2 @ X1 )
      | ( r1_rlvect_1 @ X2 @ ( k1_group_1 @ X1 @ X0 @ X3 ) )
      | ~ ( r1_rlvect_1 @ X2 @ X3 )
      | ~ ( r1_rlvect_1 @ X2 @ X0 )
      | ~ ( m1_subset_1 @ X3 @ ( u1_struct_0 @ X1 ) )
      | ~ ( l1_group_1 @ X1 )
      | ~ ( v4_group_1 @ X1 )
      | ~ ( v3_group_1 @ X1 )
      | ( v3_struct_0 @ X1 ) ),
    inference(cnf,[status(esa)],[t59_group_2]) ).

thf(zip_derived_cl556,plain,
    ! [X0: $i,X1: $i] :
      ( ( v3_struct_0 @ sk_ )
      | ~ ( v3_group_1 @ sk_ )
      | ~ ( v4_group_1 @ sk_ )
      | ~ ( l1_group_1 @ sk_ )
      | ~ ( m1_subset_1 @ X1 @ ( u1_struct_0 @ sk_ ) )
      | ~ ( r1_rlvect_1 @ sk__1 @ X0 )
      | ~ ( r1_rlvect_1 @ sk__1 @ X1 )
      | ( r1_rlvect_1 @ sk__1 @ ( k1_group_1 @ sk_ @ X0 @ X1 ) )
      | ~ ( m1_subset_1 @ X0 @ ( u1_struct_0 @ sk_ ) ) ),
    inference('dp-resolution',[status(thm)],[zip_derived_cl9,zip_derived_cl86]) ).

thf(zip_derived_cl591,plain,
    ! [X0: $i,X1: $i] :
      ( ( sk_ != sk_ )
      | ~ ( m1_subset_1 @ X1 @ ( u1_struct_0 @ sk_ ) )
      | ( r1_rlvect_1 @ sk__1 @ ( k1_group_1 @ sk_ @ X1 @ X0 ) )
      | ~ ( r1_rlvect_1 @ sk__1 @ X0 )
      | ~ ( r1_rlvect_1 @ sk__1 @ X1 )
      | ~ ( m1_subset_1 @ X0 @ ( u1_struct_0 @ sk_ ) )
      | ~ ( l1_group_1 @ sk_ )
      | ~ ( v3_group_1 @ sk_ )
      | ( v3_struct_0 @ sk_ ) ),
    inference('dp-resolution',[status(thm)],[zip_derived_cl2,zip_derived_cl556]) ).

thf(zip_derived_cl939,plain,
    ! [X0: $i,X1: $i] :
      ( ( v3_struct_0 @ sk_ )
      | ~ ( v3_group_1 @ sk_ )
      | ~ ( l1_group_1 @ sk_ )
      | ~ ( m1_subset_1 @ X0 @ ( u1_struct_0 @ sk_ ) )
      | ~ ( r1_rlvect_1 @ sk__1 @ X1 )
      | ~ ( r1_rlvect_1 @ sk__1 @ X0 )
      | ( r1_rlvect_1 @ sk__1 @ ( k1_group_1 @ sk_ @ X1 @ X0 ) )
      | ~ ( m1_subset_1 @ X1 @ ( u1_struct_0 @ sk_ ) ) ),
    inference(simplify,[status(thm)],[zip_derived_cl591]) ).

thf(zip_derived_cl0_004,plain,
    ~ ( v3_struct_0 @ sk_ ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl1_005,plain,
    v3_group_1 @ sk_,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl3_006,plain,
    l1_group_1 @ sk_,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl940,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( m1_subset_1 @ X0 @ ( u1_struct_0 @ sk_ ) )
      | ~ ( r1_rlvect_1 @ sk__1 @ X1 )
      | ~ ( r1_rlvect_1 @ sk__1 @ X0 )
      | ( r1_rlvect_1 @ sk__1 @ ( k1_group_1 @ sk_ @ X1 @ X0 ) )
      | ~ ( m1_subset_1 @ X1 @ ( u1_struct_0 @ sk_ ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl939,zip_derived_cl0,zip_derived_cl1,zip_derived_cl3]) ).

thf(zip_derived_cl2_007,plain,
    v4_group_1 @ sk_,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl9_008,plain,
    m1_group_2 @ sk__1 @ sk_,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl10_009,plain,
    v1_group_1 @ sk__1,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl79,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ~ ( v1_group_1 @ X0 )
      | ~ ( m1_group_2 @ X0 @ X1 )
      | ~ ( r1_rlvect_1 @ X0 @ X2 )
      | ( r2_hidden @ X2 @ ( k1_funct_1 @ ( k1_latsubgr @ X1 ) @ X0 ) )
      | ~ ( m1_subset_1 @ X2 @ ( u1_struct_0 @ X1 ) )
      | ~ ( l1_group_1 @ X1 )
      | ~ ( v4_group_1 @ X1 )
      | ~ ( v3_group_1 @ X1 )
      | ( v3_struct_0 @ X1 ) ),
    inference(cnf,[status(esa)],[t18_latsubgr]) ).

thf(zip_derived_cl535,plain,
    ! [X0: $i,X1: $i] :
      ( ( v3_struct_0 @ X0 )
      | ~ ( v3_group_1 @ X0 )
      | ~ ( v4_group_1 @ X0 )
      | ~ ( l1_group_1 @ X0 )
      | ~ ( m1_subset_1 @ X1 @ ( u1_struct_0 @ X0 ) )
      | ( r2_hidden @ X1 @ ( k1_funct_1 @ ( k1_latsubgr @ X0 ) @ sk__1 ) )
      | ~ ( r1_rlvect_1 @ sk__1 @ X1 )
      | ~ ( m1_group_2 @ sk__1 @ X0 ) ),
    inference('dp-resolution',[status(thm)],[zip_derived_cl10,zip_derived_cl79]) ).

thf(zip_derived_cl559,plain,
    ! [X0: $i,X1: $i] :
      ( ( sk__1 != sk__1 )
      | ( sk_ != X0 )
      | ~ ( r1_rlvect_1 @ sk__1 @ X1 )
      | ( r2_hidden @ X1 @ ( k1_funct_1 @ ( k1_latsubgr @ X0 ) @ sk__1 ) )
      | ~ ( m1_subset_1 @ X1 @ ( u1_struct_0 @ X0 ) )
      | ~ ( l1_group_1 @ X0 )
      | ~ ( v4_group_1 @ X0 )
      | ~ ( v3_group_1 @ X0 )
      | ( v3_struct_0 @ X0 ) ),
    inference('dp-resolution',[status(thm)],[zip_derived_cl9,zip_derived_cl535]) ).

thf(zip_derived_cl592,plain,
    ! [X0: $i] :
      ( ( v3_struct_0 @ sk_ )
      | ~ ( v3_group_1 @ sk_ )
      | ~ ( l1_group_1 @ sk_ )
      | ~ ( m1_subset_1 @ X0 @ ( u1_struct_0 @ sk_ ) )
      | ( r2_hidden @ X0 @ ( k1_funct_1 @ ( k1_latsubgr @ sk_ ) @ sk__1 ) )
      | ~ ( r1_rlvect_1 @ sk__1 @ X0 )
      | ( sk_ != sk_ )
      | ( sk__1 != sk__1 ) ),
    inference('dp-resolution',[status(thm)],[zip_derived_cl2,zip_derived_cl559]) ).

thf(zip_derived_cl921,plain,
    ! [X0: $i] :
      ( ~ ( r1_rlvect_1 @ sk__1 @ X0 )
      | ( r2_hidden @ X0 @ ( k1_funct_1 @ ( k1_latsubgr @ sk_ ) @ sk__1 ) )
      | ~ ( m1_subset_1 @ X0 @ ( u1_struct_0 @ sk_ ) )
      | ~ ( l1_group_1 @ sk_ )
      | ~ ( v3_group_1 @ sk_ )
      | ( v3_struct_0 @ sk_ ) ),
    inference(simplify,[status(thm)],[zip_derived_cl592]) ).

thf(zip_derived_cl3_010,plain,
    l1_group_1 @ sk_,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl1_011,plain,
    v3_group_1 @ sk_,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl0_012,plain,
    ~ ( v3_struct_0 @ sk_ ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl922,plain,
    ! [X0: $i] :
      ( ~ ( r1_rlvect_1 @ sk__1 @ X0 )
      | ( r2_hidden @ X0 @ ( k1_funct_1 @ ( k1_latsubgr @ sk_ ) @ sk__1 ) )
      | ~ ( m1_subset_1 @ X0 @ ( u1_struct_0 @ sk_ ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl921,zip_derived_cl3,zip_derived_cl1,zip_derived_cl0]) ).

thf(zip_derived_cl941,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( m1_subset_1 @ X1 @ ( u1_struct_0 @ sk_ ) )
      | ~ ( r1_rlvect_1 @ sk__1 @ X0 )
      | ~ ( r1_rlvect_1 @ sk__1 @ X1 )
      | ~ ( m1_subset_1 @ X0 @ ( u1_struct_0 @ sk_ ) )
      | ~ ( m1_subset_1 @ ( k1_group_1 @ sk_ @ X1 @ X0 ) @ ( u1_struct_0 @ sk_ ) )
      | ( r2_hidden @ ( k1_group_1 @ sk_ @ X1 @ X0 ) @ ( k1_funct_1 @ ( k1_latsubgr @ sk_ ) @ sk__1 ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl940,zip_derived_cl922]) ).

thf(zip_derived_cl1039,plain,
    ( ~ ( m1_subset_1 @ ( k1_group_1 @ sk_ @ sk__2 @ sk__3 ) @ ( u1_struct_0 @ sk_ ) )
    | ~ ( m1_subset_1 @ sk__3 @ ( u1_struct_0 @ sk_ ) )
    | ~ ( r1_rlvect_1 @ sk__1 @ sk__2 )
    | ~ ( r1_rlvect_1 @ sk__1 @ sk__3 )
    | ~ ( m1_subset_1 @ sk__2 @ ( u1_struct_0 @ sk_ ) ) ),
    inference('sup+',[status(thm)],[zip_derived_cl7,zip_derived_cl941]) ).

thf(zip_derived_cl8,plain,
    m1_subset_1 @ sk__3 @ ( u1_struct_0 @ sk_ ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl4,plain,
    m1_subset_1 @ sk__2 @ ( u1_struct_0 @ sk_ ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl1041,plain,
    ( ~ ( m1_subset_1 @ ( k1_group_1 @ sk_ @ sk__2 @ sk__3 ) @ ( u1_struct_0 @ sk_ ) )
    | ~ ( r1_rlvect_1 @ sk__1 @ sk__2 )
    | ~ ( r1_rlvect_1 @ sk__1 @ sk__3 ) ),
    inference(demod,[status(thm)],[zip_derived_cl1039,zip_derived_cl8,zip_derived_cl4]) ).

thf(zip_derived_cl1045,plain,
    ( ~ ( m1_subset_1 @ sk__3 @ ( u1_struct_0 @ sk_ ) )
    | ( v3_struct_0 @ sk_ )
    | ~ ( l1_group_1 @ sk_ )
    | ~ ( m1_subset_1 @ sk__2 @ ( u1_struct_0 @ sk_ ) )
    | ~ ( r1_rlvect_1 @ sk__1 @ sk__3 )
    | ~ ( r1_rlvect_1 @ sk__1 @ sk__2 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl26,zip_derived_cl1041]) ).

thf(zip_derived_cl8_013,plain,
    m1_subset_1 @ sk__3 @ ( u1_struct_0 @ sk_ ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl0_014,plain,
    ~ ( v3_struct_0 @ sk_ ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl3_015,plain,
    l1_group_1 @ sk_,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl4_016,plain,
    m1_subset_1 @ sk__2 @ ( u1_struct_0 @ sk_ ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl1046,plain,
    ( ~ ( r1_rlvect_1 @ sk__1 @ sk__3 )
    | ~ ( r1_rlvect_1 @ sk__1 @ sk__2 ) ),
    inference(demod,[status(thm)],[zip_derived_cl1045,zip_derived_cl8,zip_derived_cl0,zip_derived_cl3,zip_derived_cl4]) ).

thf(zip_derived_cl1049,plain,
    ( ~ ( m1_subset_1 @ sk__3 @ ( u1_struct_0 @ sk_ ) )
    | ~ ( r2_hidden @ sk__3 @ ( k1_funct_1 @ ( k1_latsubgr @ sk_ ) @ sk__1 ) )
    | ~ ( r1_rlvect_1 @ sk__1 @ sk__2 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl920,zip_derived_cl1046]) ).

thf(zip_derived_cl8_017,plain,
    m1_subset_1 @ sk__3 @ ( u1_struct_0 @ sk_ ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl6,plain,
    r2_hidden @ sk__3 @ ( k1_funct_1 @ ( k1_latsubgr @ sk_ ) @ sk__1 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl1050,plain,
    ~ ( r1_rlvect_1 @ sk__1 @ sk__2 ),
    inference(demod,[status(thm)],[zip_derived_cl1049,zip_derived_cl8,zip_derived_cl6]) ).

thf(zip_derived_cl1053,plain,
    ( ~ ( m1_subset_1 @ sk__2 @ ( u1_struct_0 @ sk_ ) )
    | ~ ( r2_hidden @ sk__2 @ ( k1_funct_1 @ ( k1_latsubgr @ sk_ ) @ sk__1 ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl920,zip_derived_cl1050]) ).

thf(zip_derived_cl4_018,plain,
    m1_subset_1 @ sk__2 @ ( u1_struct_0 @ sk_ ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl5,plain,
    r2_hidden @ sk__2 @ ( k1_funct_1 @ ( k1_latsubgr @ sk_ ) @ sk__1 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl1054,plain,
    $false,
    inference(demod,[status(thm)],[zip_derived_cl1053,zip_derived_cl4,zip_derived_cl5]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.11  % Problem  : GRP643+1 : TPTP v9.2.0. Released v3.4.0.
% 0.06/0.12  % Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.H7hDSsygF9 true
% 0.11/0.33  % Computer : n017.cluster.edu
% 0.11/0.33  % Model    : x86_64 x86_64
% 0.11/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.33  % Memory   : 8042.1875MB
% 0.11/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.11/0.33  % CPULimit : 300
% 0.11/0.33  % WCLimit  : 300
% 0.11/0.33  % DateTime : Wed Oct  1 14:22:08 EDT 2025
% 0.11/0.33  % CPUTime  : 
% 0.11/0.33  % Running portfolio for 300 s
% 0.11/0.33  % File         : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.11/0.33  % Number of cores: 8
% 0.11/0.33  % Python version: Python 3.6.8
% 0.11/0.34  % Running in FO mode
% 0.46/0.61  % Total configuration time : 435
% 0.46/0.61  % Estimated wc time : 1092
% 0.46/0.61  % Estimated cpu time (7 cpus) : 156.0
% 0.51/0.71  % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.51/0.71  % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.51/0.71  % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.51/0.72  % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.51/0.72  % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.51/0.72  % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.51/0.73  % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 0.52/0.88  % Solved by fo/fo3_bce.sh.
% 0.52/0.88  % BCE start: 91
% 0.52/0.88  % BCE eliminated: 3
% 0.52/0.88  % PE start: 88
% 0.52/0.88  logic: eq
% 0.52/0.88  % PE eliminated: -1
% 0.52/0.88  % done 177 iterations in 0.151s
% 0.52/0.88  % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 0.52/0.88  % SZS output start Refutation
% See solution above
% 0.52/0.88  
% 0.52/0.88  
% 0.52/0.88  % Terminating...
% 1.58/0.95  % Runner terminated.
% 1.58/0.96  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------