TSTP Solution File: GRP641+1 by Zipperpin---2.1.9999

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : GRP641+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.Eq0tBFQhT5 true

% Computer : n018.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 01:52:35 EDT 2023

% Result   : Theorem 1.56s 0.86s
% Output   : Refutation 1.56s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   15
%            Number of leaves      :   30
% Syntax   : Number of formulae    :   87 (  29 unt;  21 typ;   0 def)
%            Number of atoms       :  234 (  28 equ;   0 cnn)
%            Maximal formula atoms :   13 (   3 avg)
%            Number of connectives :  694 ( 122   ~; 123   |;  28   &; 404   @)
%                                         (   1 <=>;  16  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   16 (   6 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :   27 (  27   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   23 (  21 usr;   3 con; 0-3 aty)
%            Number of variables   :   45 (   0   ^;  45   !;   0   ?;  45   :)

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

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

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

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

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

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

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

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

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

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

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

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

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

thf(k1_zfmisc_1_type,type,
    k1_zfmisc_1: $i > $i ).

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

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

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

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

thf(k1_group_3_type,type,
    k1_group_3: $i > $i ).

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

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

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

thf(zip_derived_cl34,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_cl53,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_cl544,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_cl34,zip_derived_cl53]) ).

thf(dt_k1_latsubgr,axiom,
    ! [A: $i] :
      ( ( ~ ( v3_struct_0 @ A )
        & ( v3_group_1 @ A )
        & ( v4_group_1 @ A )
        & ( l1_group_1 @ A ) )
     => ( ( v1_funct_1 @ ( k1_latsubgr @ A ) )
        & ( v1_funct_2 @ ( k1_latsubgr @ A ) @ ( k1_group_3 @ A ) @ ( k1_zfmisc_1 @ ( u1_struct_0 @ A ) ) )
        & ( m2_relset_1 @ ( k1_latsubgr @ A ) @ ( k1_group_3 @ A ) @ ( k1_zfmisc_1 @ ( u1_struct_0 @ A ) ) ) ) ) ).

thf(zip_derived_cl29,plain,
    ! [X0: $i] :
      ( ( m2_relset_1 @ ( k1_latsubgr @ X0 ) @ ( k1_group_3 @ X0 ) @ ( k1_zfmisc_1 @ ( u1_struct_0 @ X0 ) ) )
      | ~ ( l1_group_1 @ X0 )
      | ~ ( v4_group_1 @ X0 )
      | ~ ( v3_group_1 @ X0 )
      | ( v3_struct_0 @ X0 ) ),
    inference(cnf,[status(esa)],[dt_k1_latsubgr]) ).

thf(t19_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 ) )
         => ( r2_hidden @ ( k2_group_1 @ A ) @ ( 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 ) )
           => ( r2_hidden @ ( k2_group_1 @ A ) @ ( k1_funct_1 @ ( k1_latsubgr @ A ) @ B ) ) ) ),
    inference('cnf.neg',[status(esa)],[t19_latsubgr]) ).

thf(zip_derived_cl5,plain,
    m1_group_2 @ sk__1 @ sk_,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl6,plain,
    v1_group_1 @ sk__1,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(d1_latsubgr,axiom,
    ! [A: $i] :
      ( ( ~ ( v3_struct_0 @ A )
        & ( v3_group_1 @ A )
        & ( v4_group_1 @ A )
        & ( l1_group_1 @ A ) )
     => ! [B: $i] :
          ( ( ( v1_funct_1 @ B )
            & ( v1_funct_2 @ B @ ( k1_group_3 @ A ) @ ( k1_zfmisc_1 @ ( u1_struct_0 @ A ) ) )
            & ( m2_relset_1 @ B @ ( k1_group_3 @ A ) @ ( k1_zfmisc_1 @ ( u1_struct_0 @ A ) ) ) )
         => ( ( B
              = ( k1_latsubgr @ A ) )
          <=> ! [C: $i] :
                ( ( ( v1_group_1 @ C )
                  & ( m1_group_2 @ C @ A ) )
               => ( ( k1_funct_1 @ B @ C )
                  = ( u1_struct_0 @ C ) ) ) ) ) ) ).

thf(zip_derived_cl19,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ~ ( v1_funct_1 @ X0 )
      | ~ ( v1_funct_2 @ X0 @ ( k1_group_3 @ X1 ) @ ( k1_zfmisc_1 @ ( u1_struct_0 @ X1 ) ) )
      | ~ ( m2_relset_1 @ X0 @ ( k1_group_3 @ X1 ) @ ( k1_zfmisc_1 @ ( u1_struct_0 @ X1 ) ) )
      | ( X0
       != ( k1_latsubgr @ X1 ) )
      | ( ( k1_funct_1 @ X0 @ X2 )
        = ( u1_struct_0 @ X2 ) )
      | ~ ( m1_group_2 @ X2 @ X1 )
      | ~ ( v1_group_1 @ X2 )
      | ~ ( l1_group_1 @ X1 )
      | ~ ( v4_group_1 @ X1 )
      | ~ ( v3_group_1 @ X1 )
      | ( v3_struct_0 @ X1 ) ),
    inference(cnf,[status(esa)],[d1_latsubgr]) ).

thf(zip_derived_cl539,plain,
    ! [X0: $i,X1: $i] :
      ( ( v3_struct_0 @ X1 )
      | ~ ( v3_group_1 @ X1 )
      | ~ ( v4_group_1 @ X1 )
      | ~ ( l1_group_1 @ X1 )
      | ~ ( m1_group_2 @ sk__1 @ X1 )
      | ( ( k1_funct_1 @ X0 @ sk__1 )
        = ( u1_struct_0 @ sk__1 ) )
      | ( X0
       != ( k1_latsubgr @ X1 ) )
      | ~ ( m2_relset_1 @ X0 @ ( k1_group_3 @ X1 ) @ ( k1_zfmisc_1 @ ( u1_struct_0 @ X1 ) ) )
      | ~ ( v1_funct_2 @ X0 @ ( k1_group_3 @ X1 ) @ ( k1_zfmisc_1 @ ( u1_struct_0 @ X1 ) ) )
      | ~ ( v1_funct_1 @ X0 ) ),
    inference('dp-resolution',[status(thm)],[zip_derived_cl6,zip_derived_cl19]) ).

thf(zip_derived_cl559,plain,
    ! [X0: $i,X1: $i] :
      ( ( sk__1 != sk__1 )
      | ( sk_ != X0 )
      | ~ ( v1_funct_1 @ X1 )
      | ~ ( v1_funct_2 @ X1 @ ( k1_group_3 @ X0 ) @ ( k1_zfmisc_1 @ ( u1_struct_0 @ X0 ) ) )
      | ~ ( m2_relset_1 @ X1 @ ( k1_group_3 @ X0 ) @ ( k1_zfmisc_1 @ ( u1_struct_0 @ X0 ) ) )
      | ( X1
       != ( k1_latsubgr @ X0 ) )
      | ( ( k1_funct_1 @ X1 @ sk__1 )
        = ( u1_struct_0 @ sk__1 ) )
      | ~ ( l1_group_1 @ X0 )
      | ~ ( v4_group_1 @ X0 )
      | ~ ( v3_group_1 @ X0 )
      | ( v3_struct_0 @ X0 ) ),
    inference('dp-resolution',[status(thm)],[zip_derived_cl5,zip_derived_cl539]) ).

thf(zip_derived_cl816,plain,
    ! [X0: $i,X1: $i] :
      ( ( v3_struct_0 @ X0 )
      | ~ ( v3_group_1 @ X0 )
      | ~ ( v4_group_1 @ X0 )
      | ~ ( l1_group_1 @ X0 )
      | ( ( k1_funct_1 @ X1 @ sk__1 )
        = ( u1_struct_0 @ sk__1 ) )
      | ( X1
       != ( k1_latsubgr @ X0 ) )
      | ~ ( m2_relset_1 @ X1 @ ( k1_group_3 @ X0 ) @ ( k1_zfmisc_1 @ ( u1_struct_0 @ X0 ) ) )
      | ~ ( v1_funct_2 @ X1 @ ( k1_group_3 @ X0 ) @ ( k1_zfmisc_1 @ ( u1_struct_0 @ X0 ) ) )
      | ~ ( v1_funct_1 @ X1 )
      | ( sk_ != X0 ) ),
    inference(simplify,[status(thm)],[zip_derived_cl559]) ).

thf(zip_derived_cl822,plain,
    ! [X0: $i] :
      ( ( v3_struct_0 @ X0 )
      | ~ ( v3_group_1 @ X0 )
      | ~ ( v4_group_1 @ X0 )
      | ~ ( l1_group_1 @ X0 )
      | ( sk_ != X0 )
      | ~ ( v1_funct_1 @ ( k1_latsubgr @ X0 ) )
      | ~ ( v1_funct_2 @ ( k1_latsubgr @ X0 ) @ ( k1_group_3 @ X0 ) @ ( k1_zfmisc_1 @ ( u1_struct_0 @ X0 ) ) )
      | ( ( k1_latsubgr @ X0 )
       != ( k1_latsubgr @ X0 ) )
      | ( ( k1_funct_1 @ ( k1_latsubgr @ X0 ) @ sk__1 )
        = ( u1_struct_0 @ sk__1 ) )
      | ~ ( l1_group_1 @ X0 )
      | ~ ( v4_group_1 @ X0 )
      | ~ ( v3_group_1 @ X0 )
      | ( v3_struct_0 @ X0 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl29,zip_derived_cl816]) ).

thf(zip_derived_cl827,plain,
    ! [X0: $i] :
      ( ( ( k1_funct_1 @ ( k1_latsubgr @ X0 ) @ sk__1 )
        = ( u1_struct_0 @ sk__1 ) )
      | ~ ( v1_funct_2 @ ( k1_latsubgr @ X0 ) @ ( k1_group_3 @ X0 ) @ ( k1_zfmisc_1 @ ( u1_struct_0 @ X0 ) ) )
      | ~ ( v1_funct_1 @ ( k1_latsubgr @ X0 ) )
      | ( sk_ != X0 )
      | ~ ( l1_group_1 @ X0 )
      | ~ ( v4_group_1 @ X0 )
      | ~ ( v3_group_1 @ X0 )
      | ( v3_struct_0 @ X0 ) ),
    inference(simplify,[status(thm)],[zip_derived_cl822]) ).

thf(zip_derived_cl28,plain,
    ! [X0: $i] :
      ( ( v1_funct_2 @ ( k1_latsubgr @ X0 ) @ ( k1_group_3 @ X0 ) @ ( k1_zfmisc_1 @ ( u1_struct_0 @ X0 ) ) )
      | ~ ( l1_group_1 @ X0 )
      | ~ ( v4_group_1 @ X0 )
      | ~ ( v3_group_1 @ X0 )
      | ( v3_struct_0 @ X0 ) ),
    inference(cnf,[status(esa)],[dt_k1_latsubgr]) ).

thf(zip_derived_cl841,plain,
    ! [X0: $i] :
      ( ( v3_struct_0 @ X0 )
      | ~ ( v3_group_1 @ X0 )
      | ~ ( v4_group_1 @ X0 )
      | ~ ( l1_group_1 @ X0 )
      | ( sk_ != X0 )
      | ~ ( v1_funct_1 @ ( k1_latsubgr @ X0 ) )
      | ( ( k1_funct_1 @ ( k1_latsubgr @ X0 ) @ sk__1 )
        = ( u1_struct_0 @ sk__1 ) ) ),
    inference(clc,[status(thm)],[zip_derived_cl827,zip_derived_cl28]) ).

thf(zip_derived_cl27,plain,
    ! [X0: $i] :
      ( ( v1_funct_1 @ ( k1_latsubgr @ X0 ) )
      | ~ ( l1_group_1 @ X0 )
      | ~ ( v4_group_1 @ X0 )
      | ~ ( v3_group_1 @ X0 )
      | ( v3_struct_0 @ X0 ) ),
    inference(cnf,[status(esa)],[dt_k1_latsubgr]) ).

thf(zip_derived_cl842,plain,
    ! [X0: $i] :
      ( ( ( k1_funct_1 @ ( k1_latsubgr @ X0 ) @ sk__1 )
        = ( u1_struct_0 @ sk__1 ) )
      | ( sk_ != X0 )
      | ~ ( l1_group_1 @ X0 )
      | ~ ( v4_group_1 @ X0 )
      | ~ ( v3_group_1 @ X0 )
      | ( v3_struct_0 @ X0 ) ),
    inference(clc,[status(thm)],[zip_derived_cl841,zip_derived_cl27]) ).

thf(zip_derived_cl4,plain,
    ~ ( r2_hidden @ ( k2_group_1 @ sk_ ) @ ( k1_funct_1 @ ( k1_latsubgr @ sk_ ) @ sk__1 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl843,plain,
    ( ~ ( r2_hidden @ ( k2_group_1 @ sk_ ) @ ( u1_struct_0 @ sk__1 ) )
    | ( v3_struct_0 @ sk_ )
    | ~ ( v3_group_1 @ sk_ )
    | ~ ( v4_group_1 @ sk_ )
    | ~ ( l1_group_1 @ sk_ )
    | ( sk_ != sk_ ) ),
    inference('sup-',[status(thm)],[zip_derived_cl842,zip_derived_cl4]) ).

thf(zip_derived_cl0,plain,
    ~ ( v3_struct_0 @ 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_cl2,plain,
    v4_group_1 @ sk_,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

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

thf(zip_derived_cl844,plain,
    ( ~ ( r2_hidden @ ( k2_group_1 @ sk_ ) @ ( u1_struct_0 @ sk__1 ) )
    | ( sk_ != sk_ ) ),
    inference(demod,[status(thm)],[zip_derived_cl843,zip_derived_cl0,zip_derived_cl1,zip_derived_cl2,zip_derived_cl3]) ).

thf(zip_derived_cl845,plain,
    ~ ( r2_hidden @ ( k2_group_1 @ sk_ ) @ ( u1_struct_0 @ sk__1 ) ),
    inference(simplify,[status(thm)],[zip_derived_cl844]) ).

thf(zip_derived_cl5_001,plain,
    m1_group_2 @ sk__1 @ sk_,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(t53_group_2,axiom,
    ! [A: $i] :
      ( ( ~ ( v3_struct_0 @ A )
        & ( v3_group_1 @ A )
        & ( v4_group_1 @ A )
        & ( l1_group_1 @ A ) )
     => ! [B: $i] :
          ( ( m1_group_2 @ B @ A )
         => ( ( k2_group_1 @ B )
            = ( k2_group_1 @ A ) ) ) ) ).

thf(zip_derived_cl84,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( m1_group_2 @ X0 @ X1 )
      | ( ( k2_group_1 @ X0 )
        = ( k2_group_1 @ X1 ) )
      | ~ ( l1_group_1 @ X1 )
      | ~ ( v4_group_1 @ X1 )
      | ~ ( v3_group_1 @ X1 )
      | ( v3_struct_0 @ X1 ) ),
    inference(cnf,[status(esa)],[t53_group_2]) ).

thf(zip_derived_cl556,plain,
    ( ( v3_struct_0 @ sk_ )
    | ~ ( v3_group_1 @ sk_ )
    | ~ ( v4_group_1 @ sk_ )
    | ~ ( l1_group_1 @ sk_ )
    | ( ( k2_group_1 @ sk__1 )
      = ( k2_group_1 @ sk_ ) ) ),
    inference('dp-resolution',[status(thm)],[zip_derived_cl5,zip_derived_cl84]) ).

thf(zip_derived_cl0_002,plain,
    ~ ( v3_struct_0 @ sk_ ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl1_003,plain,
    v3_group_1 @ sk_,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl2_004,plain,
    v4_group_1 @ sk_,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl3_005,plain,
    l1_group_1 @ sk_,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl725,plain,
    ( ( k2_group_1 @ sk__1 )
    = ( k2_group_1 @ sk_ ) ),
    inference(demod,[status(thm)],[zip_derived_cl556,zip_derived_cl0,zip_derived_cl1,zip_derived_cl2,zip_derived_cl3]) ).

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_cl32,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_cl726,plain,
    ( ( m1_subset_1 @ ( k2_group_1 @ sk_ ) @ ( u1_struct_0 @ sk__1 ) )
    | ( v3_struct_0 @ sk__1 )
    | ~ ( l1_group_1 @ sk__1 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl725,zip_derived_cl32]) ).

thf(zip_derived_cl5_006,plain,
    m1_group_2 @ sk__1 @ sk_,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(dt_m1_group_2,axiom,
    ! [A: $i] :
      ( ( ~ ( v3_struct_0 @ A )
        & ( v3_group_1 @ A )
        & ( l1_group_1 @ A ) )
     => ! [B: $i] :
          ( ( m1_group_2 @ B @ A )
         => ( ~ ( v3_struct_0 @ B )
            & ( v3_group_1 @ B )
            & ( l1_group_1 @ B ) ) ) ) ).

thf(zip_derived_cl38,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( m1_group_2 @ X0 @ X1 )
      | ~ ( v3_struct_0 @ X0 )
      | ~ ( l1_group_1 @ X1 )
      | ~ ( v3_group_1 @ X1 )
      | ( v3_struct_0 @ X1 ) ),
    inference(cnf,[status(esa)],[dt_m1_group_2]) ).

thf(zip_derived_cl555,plain,
    ( ( v3_struct_0 @ sk_ )
    | ~ ( v3_group_1 @ sk_ )
    | ~ ( l1_group_1 @ sk_ )
    | ~ ( v3_struct_0 @ sk__1 ) ),
    inference('dp-resolution',[status(thm)],[zip_derived_cl5,zip_derived_cl38]) ).

thf(zip_derived_cl0_007,plain,
    ~ ( v3_struct_0 @ sk_ ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl1_008,plain,
    v3_group_1 @ sk_,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl3_009,plain,
    l1_group_1 @ sk_,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl623,plain,
    ~ ( v3_struct_0 @ sk__1 ),
    inference(demod,[status(thm)],[zip_derived_cl555,zip_derived_cl0,zip_derived_cl1,zip_derived_cl3]) ).

thf(zip_derived_cl5_010,plain,
    m1_group_2 @ sk__1 @ sk_,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl36,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( m1_group_2 @ X0 @ X1 )
      | ( l1_group_1 @ X0 )
      | ~ ( l1_group_1 @ X1 )
      | ~ ( v3_group_1 @ X1 )
      | ( v3_struct_0 @ X1 ) ),
    inference(cnf,[status(esa)],[dt_m1_group_2]) ).

thf(zip_derived_cl553,plain,
    ( ( v3_struct_0 @ sk_ )
    | ~ ( v3_group_1 @ sk_ )
    | ~ ( l1_group_1 @ sk_ )
    | ( l1_group_1 @ sk__1 ) ),
    inference('dp-resolution',[status(thm)],[zip_derived_cl5,zip_derived_cl36]) ).

thf(zip_derived_cl0_011,plain,
    ~ ( v3_struct_0 @ sk_ ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl1_012,plain,
    v3_group_1 @ sk_,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl3_013,plain,
    l1_group_1 @ sk_,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl659,plain,
    l1_group_1 @ sk__1,
    inference(demod,[status(thm)],[zip_derived_cl553,zip_derived_cl0,zip_derived_cl1,zip_derived_cl3]) ).

thf(zip_derived_cl727,plain,
    m1_subset_1 @ ( k2_group_1 @ sk_ ) @ ( u1_struct_0 @ sk__1 ),
    inference(demod,[status(thm)],[zip_derived_cl726,zip_derived_cl623,zip_derived_cl659]) ).

thf(t2_subset,axiom,
    ! [A: $i,B: $i] :
      ( ( m1_subset_1 @ A @ B )
     => ( ( v1_xboole_0 @ B )
        | ( r2_hidden @ A @ B ) ) ) ).

thf(zip_derived_cl80,plain,
    ! [X0: $i,X1: $i] :
      ( ( r2_hidden @ X0 @ X1 )
      | ( v1_xboole_0 @ X1 )
      | ~ ( m1_subset_1 @ X0 @ X1 ) ),
    inference(cnf,[status(esa)],[t2_subset]) ).

thf(zip_derived_cl728,plain,
    ( ( v1_xboole_0 @ ( u1_struct_0 @ sk__1 ) )
    | ( r2_hidden @ ( k2_group_1 @ sk_ ) @ ( u1_struct_0 @ sk__1 ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl727,zip_derived_cl80]) ).

thf(zip_derived_cl846,plain,
    v1_xboole_0 @ ( u1_struct_0 @ sk__1 ),
    inference('sup+',[status(thm)],[zip_derived_cl845,zip_derived_cl728]) ).

thf(zip_derived_cl853,plain,
    ( ( v3_struct_0 @ sk__1 )
    | ~ ( l1_group_1 @ sk__1 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl544,zip_derived_cl846]) ).

thf(zip_derived_cl623_014,plain,
    ~ ( v3_struct_0 @ sk__1 ),
    inference(demod,[status(thm)],[zip_derived_cl555,zip_derived_cl0,zip_derived_cl1,zip_derived_cl3]) ).

thf(zip_derived_cl659_015,plain,
    l1_group_1 @ sk__1,
    inference(demod,[status(thm)],[zip_derived_cl553,zip_derived_cl0,zip_derived_cl1,zip_derived_cl3]) ).

thf(zip_derived_cl854,plain,
    $false,
    inference(demod,[status(thm)],[zip_derived_cl853,zip_derived_cl623,zip_derived_cl659]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : GRP641+1 : TPTP v8.1.2. Released v3.4.0.
% 0.07/0.13  % Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.Eq0tBFQhT5 true
% 0.13/0.34  % Computer : n018.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34  % CPULimit : 300
% 0.13/0.34  % WCLimit  : 300
% 0.13/0.34  % DateTime : Mon Aug 28 21:38:02 EDT 2023
% 0.13/0.35  % CPUTime  : 
% 0.13/0.35  % Running portfolio for 300 s
% 0.13/0.35  % File         : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.13/0.35  % Number of cores: 8
% 0.13/0.35  % Python version: Python 3.6.8
% 0.13/0.35  % Running in FO mode
% 0.21/0.62  % Total configuration time : 435
% 0.21/0.62  % Estimated wc time : 1092
% 0.21/0.62  % Estimated cpu time (7 cpus) : 156.0
% 0.21/0.71  % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.21/0.75  % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.21/0.75  % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.21/0.75  % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.21/0.78  % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.21/0.79  % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.21/0.79  % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 1.56/0.86  % Solved by fo/fo3_bce.sh.
% 1.56/0.86  % BCE start: 89
% 1.56/0.86  % BCE eliminated: 3
% 1.56/0.86  % PE start: 86
% 1.56/0.86  logic: eq
% 1.56/0.86  % PE eliminated: -3
% 1.56/0.86  % done 121 iterations in 0.091s
% 1.56/0.86  % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 1.56/0.86  % SZS output start Refutation
% See solution above
% 1.56/0.86  
% 1.56/0.86  
% 1.56/0.86  % Terminating...
% 1.93/0.94  % Runner terminated.
% 1.93/0.95  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------