TSTP Solution File: GRP618+1 by Zipperpin---2.1.9999

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : GRP618+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.642eUSqY4T true

% Computer : n015.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 01:52:20 EDT 2023

% Result   : Theorem 1.88s 0.94s
% Output   : Refutation 1.88s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   14
%            Number of leaves      :   20
% Syntax   : Number of formulae    :  103 (  41 unt;  17 typ;   0 def)
%            Number of atoms       :  264 (   0 equ;   0 cnn)
%            Maximal formula atoms :   14 (   3 avg)
%            Number of connectives :  947 ( 136   ~; 118   |;  16   &; 633   @)
%                                         (   2 <=>;  22  =>;  20  <=;   0 <~>)
%            Maximal formula depth :   17 (   6 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :   21 (  21   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   18 (  17 usr;   5 con; 0-3 aty)
%            Number of variables   :   42 (   0   ^;  42   !;   0   ?;  42   :)

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

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

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

thf(v1_group_3_type,type,
    v1_group_3: $i > $i > $o ).

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

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

thf(sk__26_type,type,
    sk__26: $i > $i > $i ).

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

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

thf(sk__25_type,type,
    sk__25: $i > $i > $i ).

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

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

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

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

thf(k2_group_3_type,type,
    k2_group_3: $i > $i > $i > $i ).

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

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

thf(l2_autgroup,axiom,
    ! [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_group_2 @ B @ A )
         => ( ( v1_group_3 @ B @ A )
           => ! [C: $i] :
                ( ( m1_subset_1 @ C @ ( u1_struct_0 @ A ) )
               => ! [D: $i] :
                    ( ( m1_subset_1 @ D @ ( u1_struct_0 @ A ) )
                   => ( ( m1_subset_1 @ D @ ( u1_struct_0 @ B ) )
                     => ( r1_rlvect_1 @ B @ ( k2_group_3 @ A @ D @ C ) ) ) ) ) ) ) ) ).

thf(zip_derived_cl125,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( ~ ( m1_group_2 @ X0 @ X1 )
      | ~ ( m1_subset_1 @ X2 @ ( u1_struct_0 @ X1 ) )
      | ( r1_rlvect_1 @ X0 @ ( k2_group_3 @ X1 @ X2 @ X3 ) )
      | ~ ( m1_subset_1 @ X2 @ ( u1_struct_0 @ X0 ) )
      | ~ ( m1_subset_1 @ X3 @ ( u1_struct_0 @ X1 ) )
      | ~ ( v1_group_3 @ X0 @ X1 )
      | ~ ( l1_group_1 @ X1 )
      | ~ ( v4_group_1 @ X1 )
      | ~ ( v3_group_1 @ X1 )
      | ~ ( v1_group_1 @ X1 )
      | ( v3_struct_0 @ X1 ) ),
    inference(cnf,[status(esa)],[l2_autgroup]) ).

thf(t1_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_group_2 @ B @ A )
         => ( ! [C: $i] :
                ( ( m1_subset_1 @ C @ ( u1_struct_0 @ A ) )
               => ! [D: $i] :
                    ( ( m1_subset_1 @ D @ ( u1_struct_0 @ A ) )
                   => ( ( m1_subset_1 @ D @ ( u1_struct_0 @ B ) )
                     => ( r1_rlvect_1 @ B @ ( k2_group_3 @ A @ D @ C ) ) ) ) )
          <=> ( v1_group_3 @ B @ A ) ) ) ) ).

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_group_2 @ B @ A )
           => ( ! [C: $i] :
                  ( ( m1_subset_1 @ C @ ( u1_struct_0 @ A ) )
                 => ! [D: $i] :
                      ( ( m1_subset_1 @ D @ ( u1_struct_0 @ A ) )
                     => ( ( m1_subset_1 @ D @ ( u1_struct_0 @ B ) )
                       => ( r1_rlvect_1 @ B @ ( k2_group_3 @ A @ D @ C ) ) ) ) )
            <=> ( v1_group_3 @ B @ A ) ) ) ),
    inference('cnf.neg',[status(esa)],[t1_autgroup]) ).

thf(zip_derived_cl7,plain,
    ( ~ ( v1_group_3 @ sk__1 @ sk_ )
    | ~ ( r1_rlvect_1 @ sk__1 @ ( k2_group_3 @ sk_ @ sk__3 @ sk__2 ) ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl130,plain,
    ( ~ ( r1_rlvect_1 @ sk__1 @ ( k2_group_3 @ sk_ @ sk__3 @ sk__2 ) )
   <= ~ ( r1_rlvect_1 @ sk__1 @ ( k2_group_3 @ sk_ @ sk__3 @ sk__2 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl7]) ).

thf(zip_derived_cl5,plain,
    ! [X0: $i,X1: $i] :
      ( ( v1_group_3 @ sk__1 @ sk_ )
      | ~ ( m1_subset_1 @ X0 @ ( u1_struct_0 @ sk_ ) )
      | ~ ( m1_subset_1 @ X1 @ ( u1_struct_0 @ sk__1 ) )
      | ( r1_rlvect_1 @ sk__1 @ ( k2_group_3 @ sk_ @ X1 @ X0 ) )
      | ~ ( m1_subset_1 @ X1 @ ( u1_struct_0 @ sk_ ) ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl126,plain,
    ( ! [X0: $i,X1: $i] :
        ( ~ ( m1_subset_1 @ X0 @ ( u1_struct_0 @ sk_ ) )
        | ~ ( m1_subset_1 @ X1 @ ( u1_struct_0 @ sk__1 ) )
        | ( r1_rlvect_1 @ sk__1 @ ( k2_group_3 @ sk_ @ X1 @ X0 ) )
        | ~ ( m1_subset_1 @ X1 @ ( u1_struct_0 @ sk_ ) ) )
   <= ! [X0: $i,X1: $i] :
        ( ~ ( m1_subset_1 @ X0 @ ( u1_struct_0 @ sk_ ) )
        | ~ ( m1_subset_1 @ X1 @ ( u1_struct_0 @ sk__1 ) )
        | ( r1_rlvect_1 @ sk__1 @ ( k2_group_3 @ sk_ @ X1 @ X0 ) )
        | ~ ( m1_subset_1 @ X1 @ ( u1_struct_0 @ sk_ ) ) ) ),
    inference(split,[status(esa)],[zip_derived_cl5]) ).

thf(l1_autgroup,axiom,
    ! [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_group_2 @ B @ A )
         => ( ! [C: $i] :
                ( ( m1_subset_1 @ C @ ( u1_struct_0 @ A ) )
               => ! [D: $i] :
                    ( ( m1_subset_1 @ D @ ( u1_struct_0 @ A ) )
                   => ( ( m1_subset_1 @ D @ ( u1_struct_0 @ B ) )
                     => ( r1_rlvect_1 @ B @ ( k2_group_3 @ A @ D @ C ) ) ) ) )
           => ( v1_group_3 @ B @ A ) ) ) ) ).

thf(zip_derived_cl122,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( m1_group_2 @ X0 @ X1 )
      | ( v1_group_3 @ X0 @ X1 )
      | ~ ( r1_rlvect_1 @ X0 @ ( k2_group_3 @ X1 @ ( sk__26 @ X0 @ X1 ) @ ( sk__25 @ X0 @ X1 ) ) )
      | ~ ( l1_group_1 @ X1 )
      | ~ ( v4_group_1 @ X1 )
      | ~ ( v3_group_1 @ X1 )
      | ~ ( v1_group_1 @ X1 )
      | ( v3_struct_0 @ X1 ) ),
    inference(cnf,[status(esa)],[l1_autgroup]) ).

thf(zip_derived_cl557,plain,
    ( ( ~ ( m1_subset_1 @ ( sk__26 @ sk__1 @ sk_ ) @ ( u1_struct_0 @ sk_ ) )
      | ~ ( m1_subset_1 @ ( sk__26 @ sk__1 @ sk_ ) @ ( u1_struct_0 @ sk__1 ) )
      | ~ ( m1_subset_1 @ ( sk__25 @ sk__1 @ sk_ ) @ ( u1_struct_0 @ sk_ ) )
      | ~ ( m1_group_2 @ sk__1 @ sk_ )
      | ( v1_group_3 @ sk__1 @ sk_ )
      | ~ ( l1_group_1 @ sk_ )
      | ~ ( v4_group_1 @ sk_ )
      | ~ ( v3_group_1 @ sk_ )
      | ~ ( v1_group_1 @ sk_ )
      | ( v3_struct_0 @ sk_ ) )
   <= ! [X0: $i,X1: $i] :
        ( ~ ( m1_subset_1 @ X0 @ ( u1_struct_0 @ sk_ ) )
        | ~ ( m1_subset_1 @ X1 @ ( u1_struct_0 @ sk__1 ) )
        | ( r1_rlvect_1 @ sk__1 @ ( k2_group_3 @ sk_ @ X1 @ X0 ) )
        | ~ ( m1_subset_1 @ X1 @ ( u1_struct_0 @ sk_ ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl126,zip_derived_cl122]) ).

thf(zip_derived_cl10,plain,
    m1_group_2 @ sk__1 @ sk_,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl4,plain,
    l1_group_1 @ sk_,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl3,plain,
    v4_group_1 @ sk_,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl2,plain,
    v3_group_1 @ sk_,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl1,plain,
    v1_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_cl558,plain,
    ( ( ~ ( m1_subset_1 @ ( sk__26 @ sk__1 @ sk_ ) @ ( u1_struct_0 @ sk_ ) )
      | ~ ( m1_subset_1 @ ( sk__26 @ sk__1 @ sk_ ) @ ( u1_struct_0 @ sk__1 ) )
      | ~ ( m1_subset_1 @ ( sk__25 @ sk__1 @ sk_ ) @ ( u1_struct_0 @ sk_ ) )
      | ( v1_group_3 @ sk__1 @ sk_ ) )
   <= ! [X0: $i,X1: $i] :
        ( ~ ( m1_subset_1 @ X0 @ ( u1_struct_0 @ sk_ ) )
        | ~ ( m1_subset_1 @ X1 @ ( u1_struct_0 @ sk__1 ) )
        | ( r1_rlvect_1 @ sk__1 @ ( k2_group_3 @ sk_ @ X1 @ X0 ) )
        | ~ ( m1_subset_1 @ X1 @ ( u1_struct_0 @ sk_ ) ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl557,zip_derived_cl10,zip_derived_cl4,zip_derived_cl3,zip_derived_cl2,zip_derived_cl1,zip_derived_cl0]) ).

thf(zip_derived_cl562,plain,
    ( ~ ( m1_subset_1 @ ( sk__25 @ sk__1 @ sk_ ) @ ( u1_struct_0 @ sk_ ) )
   <= ~ ( m1_subset_1 @ ( sk__25 @ sk__1 @ sk_ ) @ ( u1_struct_0 @ sk_ ) ) ),
    inference(split,[status(esa)],[zip_derived_cl558]) ).

thf(zip_derived_cl124,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( m1_group_2 @ X0 @ X1 )
      | ( v1_group_3 @ X0 @ X1 )
      | ( m1_subset_1 @ ( sk__25 @ X0 @ X1 ) @ ( u1_struct_0 @ X1 ) )
      | ~ ( l1_group_1 @ X1 )
      | ~ ( v4_group_1 @ X1 )
      | ~ ( v3_group_1 @ X1 )
      | ~ ( v1_group_1 @ X1 )
      | ( v3_struct_0 @ X1 ) ),
    inference(cnf,[status(esa)],[l1_autgroup]) ).

thf(zip_derived_cl576,plain,
    ( ( ~ ( m1_group_2 @ sk__1 @ sk_ )
      | ( v1_group_3 @ sk__1 @ sk_ )
      | ~ ( l1_group_1 @ sk_ )
      | ~ ( v4_group_1 @ sk_ )
      | ~ ( v3_group_1 @ sk_ )
      | ~ ( v1_group_1 @ sk_ )
      | ( v3_struct_0 @ sk_ ) )
   <= ~ ( m1_subset_1 @ ( sk__25 @ sk__1 @ sk_ ) @ ( u1_struct_0 @ sk_ ) ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl562,zip_derived_cl124]) ).

thf(zip_derived_cl10_001,plain,
    m1_group_2 @ sk__1 @ sk_,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl4_002,plain,
    l1_group_1 @ sk_,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl3_003,plain,
    v4_group_1 @ sk_,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl2_004,plain,
    v3_group_1 @ sk_,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl1_005,plain,
    v1_group_1 @ sk_,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl0_006,plain,
    ~ ( v3_struct_0 @ sk_ ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl577,plain,
    ( ( v1_group_3 @ sk__1 @ sk_ )
   <= ~ ( m1_subset_1 @ ( sk__25 @ sk__1 @ sk_ ) @ ( u1_struct_0 @ sk_ ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl576,zip_derived_cl10,zip_derived_cl4,zip_derived_cl3,zip_derived_cl2,zip_derived_cl1,zip_derived_cl0]) ).

thf(zip_derived_cl6,plain,
    ( ~ ( v1_group_3 @ sk__1 @ sk_ )
    | ( m1_subset_1 @ sk__3 @ ( u1_struct_0 @ sk_ ) ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl129,plain,
    ( ~ ( v1_group_3 @ sk__1 @ sk_ )
   <= ~ ( v1_group_3 @ sk__1 @ sk_ ) ),
    inference(split,[status(esa)],[zip_derived_cl6]) ).

thf('0',plain,
    ( ( m1_subset_1 @ ( sk__25 @ sk__1 @ sk_ ) @ ( u1_struct_0 @ sk_ ) )
    | ( v1_group_3 @ sk__1 @ sk_ ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl577,zip_derived_cl129]) ).

thf(zip_derived_cl123,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( m1_group_2 @ X0 @ X1 )
      | ( v1_group_3 @ X0 @ X1 )
      | ( m1_subset_1 @ ( sk__26 @ X0 @ X1 ) @ ( u1_struct_0 @ X0 ) )
      | ~ ( l1_group_1 @ X1 )
      | ~ ( v4_group_1 @ X1 )
      | ~ ( v3_group_1 @ X1 )
      | ~ ( v1_group_1 @ X1 )
      | ( v3_struct_0 @ X1 ) ),
    inference(cnf,[status(esa)],[l1_autgroup]) ).

thf(zip_derived_cl561,plain,
    ( ~ ( m1_subset_1 @ ( sk__26 @ sk__1 @ sk_ ) @ ( u1_struct_0 @ sk__1 ) )
   <= ~ ( m1_subset_1 @ ( sk__26 @ sk__1 @ sk_ ) @ ( u1_struct_0 @ sk__1 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl558]) ).

thf(zip_derived_cl569,plain,
    ( ( ( v3_struct_0 @ sk_ )
      | ~ ( v1_group_1 @ sk_ )
      | ~ ( v3_group_1 @ sk_ )
      | ~ ( v4_group_1 @ sk_ )
      | ~ ( l1_group_1 @ sk_ )
      | ( v1_group_3 @ sk__1 @ sk_ )
      | ~ ( m1_group_2 @ sk__1 @ sk_ ) )
   <= ~ ( m1_subset_1 @ ( sk__26 @ sk__1 @ sk_ ) @ ( u1_struct_0 @ sk__1 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl123,zip_derived_cl561]) ).

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

thf(zip_derived_cl1_008,plain,
    v1_group_1 @ sk_,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl2_009,plain,
    v3_group_1 @ sk_,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl3_010,plain,
    v4_group_1 @ sk_,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl4_011,plain,
    l1_group_1 @ sk_,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl10_012,plain,
    m1_group_2 @ sk__1 @ sk_,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl570,plain,
    ( ( v1_group_3 @ sk__1 @ sk_ )
   <= ~ ( m1_subset_1 @ ( sk__26 @ sk__1 @ sk_ ) @ ( u1_struct_0 @ sk__1 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl569,zip_derived_cl0,zip_derived_cl1,zip_derived_cl2,zip_derived_cl3,zip_derived_cl4,zip_derived_cl10]) ).

thf(zip_derived_cl129_013,plain,
    ( ~ ( v1_group_3 @ sk__1 @ sk_ )
   <= ~ ( v1_group_3 @ sk__1 @ sk_ ) ),
    inference(split,[status(esa)],[zip_derived_cl6]) ).

thf('1',plain,
    ( ( m1_subset_1 @ ( sk__26 @ sk__1 @ sk_ ) @ ( u1_struct_0 @ sk__1 ) )
    | ( v1_group_3 @ sk__1 @ sk_ ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl570,zip_derived_cl129]) ).

thf(zip_derived_cl121,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( m1_group_2 @ X0 @ X1 )
      | ( v1_group_3 @ X0 @ X1 )
      | ( m1_subset_1 @ ( sk__26 @ X0 @ X1 ) @ ( u1_struct_0 @ X1 ) )
      | ~ ( l1_group_1 @ X1 )
      | ~ ( v4_group_1 @ X1 )
      | ~ ( v3_group_1 @ X1 )
      | ~ ( v1_group_1 @ X1 )
      | ( v3_struct_0 @ X1 ) ),
    inference(cnf,[status(esa)],[l1_autgroup]) ).

thf(zip_derived_cl560,plain,
    ( ~ ( m1_subset_1 @ ( sk__26 @ sk__1 @ sk_ ) @ ( u1_struct_0 @ sk_ ) )
   <= ~ ( m1_subset_1 @ ( sk__26 @ sk__1 @ sk_ ) @ ( u1_struct_0 @ sk_ ) ) ),
    inference(split,[status(esa)],[zip_derived_cl558]) ).

thf(zip_derived_cl565,plain,
    ( ( ( v3_struct_0 @ sk_ )
      | ~ ( v1_group_1 @ sk_ )
      | ~ ( v3_group_1 @ sk_ )
      | ~ ( v4_group_1 @ sk_ )
      | ~ ( l1_group_1 @ sk_ )
      | ( v1_group_3 @ sk__1 @ sk_ )
      | ~ ( m1_group_2 @ sk__1 @ sk_ ) )
   <= ~ ( m1_subset_1 @ ( sk__26 @ sk__1 @ sk_ ) @ ( u1_struct_0 @ sk_ ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl121,zip_derived_cl560]) ).

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

thf(zip_derived_cl1_015,plain,
    v1_group_1 @ sk_,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl2_016,plain,
    v3_group_1 @ sk_,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl3_017,plain,
    v4_group_1 @ sk_,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl4_018,plain,
    l1_group_1 @ sk_,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl10_019,plain,
    m1_group_2 @ sk__1 @ sk_,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl566,plain,
    ( ( v1_group_3 @ sk__1 @ sk_ )
   <= ~ ( m1_subset_1 @ ( sk__26 @ sk__1 @ sk_ ) @ ( u1_struct_0 @ sk_ ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl565,zip_derived_cl0,zip_derived_cl1,zip_derived_cl2,zip_derived_cl3,zip_derived_cl4,zip_derived_cl10]) ).

thf(zip_derived_cl129_020,plain,
    ( ~ ( v1_group_3 @ sk__1 @ sk_ )
   <= ~ ( v1_group_3 @ sk__1 @ sk_ ) ),
    inference(split,[status(esa)],[zip_derived_cl6]) ).

thf('2',plain,
    ( ( m1_subset_1 @ ( sk__26 @ sk__1 @ sk_ ) @ ( u1_struct_0 @ sk_ ) )
    | ( v1_group_3 @ sk__1 @ sk_ ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl566,zip_derived_cl129]) ).

thf('3',plain,
    ( ( v1_group_3 @ sk__1 @ sk_ )
    | ! [X0: $i,X1: $i] :
        ( ~ ( m1_subset_1 @ X0 @ ( u1_struct_0 @ sk_ ) )
        | ~ ( m1_subset_1 @ X1 @ ( u1_struct_0 @ sk__1 ) )
        | ( r1_rlvect_1 @ sk__1 @ ( k2_group_3 @ sk_ @ X1 @ X0 ) )
        | ~ ( m1_subset_1 @ X1 @ ( u1_struct_0 @ sk_ ) ) ) ),
    inference(split,[status(esa)],[zip_derived_cl5]) ).

thf('4',plain,
    ( ~ ! [X0: $i,X1: $i] :
          ( ~ ( m1_subset_1 @ X0 @ ( u1_struct_0 @ sk_ ) )
          | ~ ( m1_subset_1 @ X1 @ ( u1_struct_0 @ sk__1 ) )
          | ( r1_rlvect_1 @ sk__1 @ ( k2_group_3 @ sk_ @ X1 @ X0 ) )
          | ~ ( m1_subset_1 @ X1 @ ( u1_struct_0 @ sk_ ) ) )
    | ~ ( m1_subset_1 @ ( sk__25 @ sk__1 @ sk_ ) @ ( u1_struct_0 @ sk_ ) )
    | ( v1_group_3 @ sk__1 @ sk_ )
    | ~ ( m1_subset_1 @ ( sk__26 @ sk__1 @ sk_ ) @ ( u1_struct_0 @ sk__1 ) )
    | ~ ( m1_subset_1 @ ( sk__26 @ sk__1 @ sk_ ) @ ( u1_struct_0 @ sk_ ) ) ),
    inference(split,[status(esa)],[zip_derived_cl558]) ).

thf('5',plain,
    ( ~ ( r1_rlvect_1 @ sk__1 @ ( k2_group_3 @ sk_ @ sk__3 @ sk__2 ) )
    | ~ ( v1_group_3 @ sk__1 @ sk_ ) ),
    inference(split,[status(esa)],[zip_derived_cl7]) ).

thf('6',plain,
    ~ ( r1_rlvect_1 @ sk__1 @ ( k2_group_3 @ sk_ @ sk__3 @ sk__2 ) ),
    inference('sat_resolution*',[status(thm)],['0','1','2','3','4','5']) ).

thf(zip_derived_cl582,plain,
    ~ ( r1_rlvect_1 @ sk__1 @ ( k2_group_3 @ sk_ @ sk__3 @ sk__2 ) ),
    inference(simpl_trail,[status(thm)],[zip_derived_cl130,'6']) ).

thf(zip_derived_cl644,plain,
    ( ( v3_struct_0 @ sk_ )
    | ~ ( v1_group_1 @ sk_ )
    | ~ ( v3_group_1 @ sk_ )
    | ~ ( v4_group_1 @ sk_ )
    | ~ ( l1_group_1 @ sk_ )
    | ~ ( v1_group_3 @ sk__1 @ sk_ )
    | ~ ( m1_subset_1 @ sk__2 @ ( u1_struct_0 @ sk_ ) )
    | ~ ( m1_subset_1 @ sk__3 @ ( u1_struct_0 @ sk__1 ) )
    | ~ ( m1_subset_1 @ sk__3 @ ( u1_struct_0 @ sk_ ) )
    | ~ ( m1_group_2 @ sk__1 @ sk_ ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl125,zip_derived_cl582]) ).

thf(zip_derived_cl0_021,plain,
    ~ ( v3_struct_0 @ sk_ ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl1_022,plain,
    v1_group_1 @ sk_,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl2_023,plain,
    v3_group_1 @ sk_,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl3_024,plain,
    v4_group_1 @ sk_,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl4_025,plain,
    l1_group_1 @ sk_,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl10_026,plain,
    m1_group_2 @ sk__1 @ sk_,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl647,plain,
    ( ~ ( v1_group_3 @ sk__1 @ sk_ )
    | ~ ( m1_subset_1 @ sk__2 @ ( u1_struct_0 @ sk_ ) )
    | ~ ( m1_subset_1 @ sk__3 @ ( u1_struct_0 @ sk__1 ) )
    | ~ ( m1_subset_1 @ sk__3 @ ( u1_struct_0 @ sk_ ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl644,zip_derived_cl0,zip_derived_cl1,zip_derived_cl2,zip_derived_cl3,zip_derived_cl4,zip_derived_cl10]) ).

thf(zip_derived_cl127,plain,
    ( ( v1_group_3 @ sk__1 @ sk_ )
   <= ( v1_group_3 @ sk__1 @ sk_ ) ),
    inference(split,[status(esa)],[zip_derived_cl5]) ).

thf('7',plain,
    v1_group_3 @ sk__1 @ sk_,
    inference('sat_resolution*',[status(thm)],['0','1','2','3','4']) ).

thf(zip_derived_cl580,plain,
    v1_group_3 @ sk__1 @ sk_,
    inference(simpl_trail,[status(thm)],[zip_derived_cl127,'7']) ).

thf(zip_derived_cl9,plain,
    ( ~ ( v1_group_3 @ sk__1 @ sk_ )
    | ( m1_subset_1 @ sk__2 @ ( u1_struct_0 @ sk_ ) ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl134,plain,
    ( ( m1_subset_1 @ sk__2 @ ( u1_struct_0 @ sk_ ) )
   <= ( m1_subset_1 @ sk__2 @ ( u1_struct_0 @ sk_ ) ) ),
    inference(split,[status(esa)],[zip_derived_cl9]) ).

thf('8',plain,
    ( ( m1_subset_1 @ sk__2 @ ( u1_struct_0 @ sk_ ) )
    | ~ ( v1_group_3 @ sk__1 @ sk_ ) ),
    inference(split,[status(esa)],[zip_derived_cl9]) ).

thf('9',plain,
    m1_subset_1 @ sk__2 @ ( u1_struct_0 @ sk_ ),
    inference('sat_resolution*',[status(thm)],['0','1','2','3','4','8']) ).

thf(zip_derived_cl584,plain,
    m1_subset_1 @ sk__2 @ ( u1_struct_0 @ sk_ ),
    inference(simpl_trail,[status(thm)],[zip_derived_cl134,'9']) ).

thf(zip_derived_cl8,plain,
    ( ~ ( v1_group_3 @ sk__1 @ sk_ )
    | ( m1_subset_1 @ sk__3 @ ( u1_struct_0 @ sk__1 ) ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl132,plain,
    ( ( m1_subset_1 @ sk__3 @ ( u1_struct_0 @ sk__1 ) )
   <= ( m1_subset_1 @ sk__3 @ ( u1_struct_0 @ sk__1 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl8]) ).

thf('10',plain,
    ( ( m1_subset_1 @ sk__3 @ ( u1_struct_0 @ sk__1 ) )
    | ~ ( v1_group_3 @ sk__1 @ sk_ ) ),
    inference(split,[status(esa)],[zip_derived_cl8]) ).

thf('11',plain,
    m1_subset_1 @ sk__3 @ ( u1_struct_0 @ sk__1 ),
    inference('sat_resolution*',[status(thm)],['0','1','2','3','4','10']) ).

thf(zip_derived_cl583,plain,
    m1_subset_1 @ sk__3 @ ( u1_struct_0 @ sk__1 ),
    inference(simpl_trail,[status(thm)],[zip_derived_cl132,'11']) ).

thf(zip_derived_cl128,plain,
    ( ( m1_subset_1 @ sk__3 @ ( u1_struct_0 @ sk_ ) )
   <= ( m1_subset_1 @ sk__3 @ ( u1_struct_0 @ sk_ ) ) ),
    inference(split,[status(esa)],[zip_derived_cl6]) ).

thf('12',plain,
    ( ( m1_subset_1 @ sk__3 @ ( u1_struct_0 @ sk_ ) )
    | ~ ( v1_group_3 @ sk__1 @ sk_ ) ),
    inference(split,[status(esa)],[zip_derived_cl6]) ).

thf('13',plain,
    m1_subset_1 @ sk__3 @ ( u1_struct_0 @ sk_ ),
    inference('sat_resolution*',[status(thm)],['0','1','2','3','4','12']) ).

thf(zip_derived_cl581,plain,
    m1_subset_1 @ sk__3 @ ( u1_struct_0 @ sk_ ),
    inference(simpl_trail,[status(thm)],[zip_derived_cl128,'13']) ).

thf(zip_derived_cl657,plain,
    $false,
    inference(demod,[status(thm)],[zip_derived_cl647,zip_derived_cl580,zip_derived_cl584,zip_derived_cl583,zip_derived_cl581]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.10  % Problem  : GRP618+1 : TPTP v8.1.2. Released v3.4.0.
% 0.00/0.11  % Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.642eUSqY4T true
% 0.10/0.32  % Computer : n015.cluster.edu
% 0.10/0.32  % Model    : x86_64 x86_64
% 0.10/0.32  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.32  % Memory   : 8042.1875MB
% 0.10/0.32  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.10/0.32  % CPULimit : 300
% 0.10/0.32  % WCLimit  : 300
% 0.10/0.32  % DateTime : Mon Aug 28 23:01:10 EDT 2023
% 0.10/0.32  % CPUTime  : 
% 0.10/0.32  % Running portfolio for 300 s
% 0.10/0.32  % File         : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.10/0.32  % Number of cores: 8
% 0.10/0.32  % Python version: Python 3.6.8
% 0.10/0.32  % Running in FO mode
% 0.18/0.61  % Total configuration time : 435
% 0.18/0.61  % Estimated wc time : 1092
% 0.18/0.61  % Estimated cpu time (7 cpus) : 156.0
% 0.18/0.70  % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.18/0.70  % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.18/0.70  % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.18/0.70  % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.18/0.70  % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.18/0.70  % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.18/0.71  % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 1.88/0.94  % Solved by fo/fo1_av.sh.
% 1.88/0.94  % done 369 iterations in 0.218s
% 1.88/0.94  % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 1.88/0.94  % SZS output start Refutation
% See solution above
% 1.88/0.94  
% 1.88/0.94  
% 1.88/0.95  % Terminating...
% 1.96/1.02  % Runner terminated.
% 1.96/1.03  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------