TSTP Solution File: GRP644+1 by Zipperpin---2.1.9999

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : GRP644+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.fKbznNtY8i true

% Computer : n016.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 01:52:37 EDT 2023

% Result   : Theorem 0.56s 0.82s
% Output   : Refutation 0.56s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   13
%            Number of leaves      :   20
% Syntax   : Number of formulae    :   71 (  25 unt;  16 typ;   0 def)
%            Number of atoms       :  212 (   9 equ;   0 cnn)
%            Maximal formula atoms :    9 (   3 avg)
%            Number of connectives :  729 ( 117   ~; 121   |;  19   &; 455   @)
%                                         (   1 <=>;  16  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   15 (   7 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :   19 (  19   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   18 (  16 usr;   4 con; 0-2 aty)
%            Number of variables   :   49 (   0   ^;  49   !;   0   ?;  49   :)

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

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

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

thf(k3_group_1_type,type,
    k3_group_1: $i > $i > $i ).

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

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

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

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

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

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

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

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

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

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

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

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

thf(t22_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 ) )
             => ( ( r2_hidden @ C @ ( k1_funct_1 @ ( k1_latsubgr @ A ) @ B ) )
               => ( r2_hidden @ ( k3_group_1 @ A @ C ) @ ( 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 ) )
               => ( ( r2_hidden @ C @ ( k1_funct_1 @ ( k1_latsubgr @ A ) @ B ) )
                 => ( r2_hidden @ ( k3_group_1 @ A @ C ) @ ( k1_funct_1 @ ( k1_latsubgr @ A ) @ B ) ) ) ) ) ),
    inference('cnf.neg',[status(esa)],[t22_latsubgr]) ).

thf(zip_derived_cl5,plain,
    ~ ( r2_hidden @ ( k3_group_1 @ sk_ @ sk__2 ) @ ( k1_funct_1 @ ( k1_latsubgr @ sk_ ) @ sk__1 ) ),
    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_cl7,plain,
    m1_group_2 @ sk__1 @ sk_,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl8,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_cl78,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_cl528,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_cl8,zip_derived_cl78]) ).

thf(zip_derived_cl554,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_cl7,zip_derived_cl528]) ).

thf(zip_derived_cl586,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_cl554]) ).

thf(zip_derived_cl890,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_cl586]) ).

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_cl891,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_cl890,zip_derived_cl3,zip_derived_cl1,zip_derived_cl0]) ).

thf(zip_derived_cl2_001,plain,
    v4_group_1 @ sk_,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl7_002,plain,
    m1_group_2 @ sk__1 @ sk_,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl8_003,plain,
    v1_group_1 @ sk__1,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl77,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_cl527,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_cl8,zip_derived_cl77]) ).

thf(zip_derived_cl551,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_cl7,zip_derived_cl527]) ).

thf(zip_derived_cl585,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_cl551]) ).

thf(zip_derived_cl942,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_cl585]) ).

thf(zip_derived_cl3_004,plain,
    l1_group_1 @ 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_cl0_006,plain,
    ~ ( v3_struct_0 @ sk_ ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl943,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_cl942,zip_derived_cl3,zip_derived_cl1,zip_derived_cl0]) ).

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

thf(zip_derived_cl7_008,plain,
    m1_group_2 @ sk__1 @ sk_,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(t60_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_group_2 @ C @ A )
             => ( ( r1_rlvect_1 @ C @ B )
               => ( r1_rlvect_1 @ C @ ( k3_group_1 @ A @ B ) ) ) ) ) ) ).

thf(zip_derived_cl85,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ~ ( m1_subset_1 @ X0 @ ( u1_struct_0 @ X1 ) )
      | ~ ( r1_rlvect_1 @ X2 @ X0 )
      | ( r1_rlvect_1 @ X2 @ ( k3_group_1 @ X1 @ X0 ) )
      | ~ ( m1_group_2 @ X2 @ X1 )
      | ~ ( l1_group_1 @ X1 )
      | ~ ( v4_group_1 @ X1 )
      | ~ ( v3_group_1 @ X1 )
      | ( v3_struct_0 @ X1 ) ),
    inference(cnf,[status(esa)],[t60_group_2]) ).

thf(zip_derived_cl548,plain,
    ! [X0: $i] :
      ( ( v3_struct_0 @ sk_ )
      | ~ ( v3_group_1 @ sk_ )
      | ~ ( v4_group_1 @ sk_ )
      | ~ ( l1_group_1 @ sk_ )
      | ( r1_rlvect_1 @ sk__1 @ ( k3_group_1 @ sk_ @ X0 ) )
      | ~ ( r1_rlvect_1 @ sk__1 @ X0 )
      | ~ ( m1_subset_1 @ X0 @ ( u1_struct_0 @ sk_ ) ) ),
    inference('dp-resolution',[status(thm)],[zip_derived_cl7,zip_derived_cl85]) ).

thf(zip_derived_cl584,plain,
    ! [X0: $i] :
      ( ( sk_ != sk_ )
      | ~ ( m1_subset_1 @ X0 @ ( u1_struct_0 @ sk_ ) )
      | ~ ( r1_rlvect_1 @ sk__1 @ X0 )
      | ( r1_rlvect_1 @ sk__1 @ ( k3_group_1 @ sk_ @ X0 ) )
      | ~ ( l1_group_1 @ sk_ )
      | ~ ( v3_group_1 @ sk_ )
      | ( v3_struct_0 @ sk_ ) ),
    inference('dp-resolution',[status(thm)],[zip_derived_cl2,zip_derived_cl548]) ).

thf(zip_derived_cl926,plain,
    ! [X0: $i] :
      ( ( v3_struct_0 @ sk_ )
      | ~ ( v3_group_1 @ sk_ )
      | ~ ( l1_group_1 @ sk_ )
      | ( r1_rlvect_1 @ sk__1 @ ( k3_group_1 @ sk_ @ X0 ) )
      | ~ ( r1_rlvect_1 @ sk__1 @ X0 )
      | ~ ( m1_subset_1 @ X0 @ ( u1_struct_0 @ sk_ ) ) ),
    inference(simplify,[status(thm)],[zip_derived_cl584]) ).

thf(zip_derived_cl0_009,plain,
    ~ ( v3_struct_0 @ sk_ ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl1_010,plain,
    v3_group_1 @ sk_,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl3_011,plain,
    l1_group_1 @ sk_,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl927,plain,
    ! [X0: $i] :
      ( ( r1_rlvect_1 @ sk__1 @ ( k3_group_1 @ sk_ @ X0 ) )
      | ~ ( r1_rlvect_1 @ sk__1 @ X0 )
      | ~ ( m1_subset_1 @ X0 @ ( u1_struct_0 @ sk_ ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl926,zip_derived_cl0,zip_derived_cl1,zip_derived_cl3]) ).

thf(zip_derived_cl945,plain,
    ! [X0: $i] :
      ( ~ ( m1_subset_1 @ ( k3_group_1 @ sk_ @ X0 ) @ ( u1_struct_0 @ sk_ ) )
      | ( r2_hidden @ ( k3_group_1 @ sk_ @ X0 ) @ ( k1_funct_1 @ ( k1_latsubgr @ sk_ ) @ sk__1 ) )
      | ~ ( m1_subset_1 @ X0 @ ( u1_struct_0 @ sk_ ) )
      | ~ ( r1_rlvect_1 @ sk__1 @ X0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl943,zip_derived_cl927]) ).

thf(zip_derived_cl2_012,plain,
    v4_group_1 @ sk_,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(dt_k3_group_1,axiom,
    ! [A: $i,B: $i] :
      ( ( ~ ( v3_struct_0 @ A )
        & ( v3_group_1 @ A )
        & ( v4_group_1 @ A )
        & ( l1_group_1 @ A )
        & ( m1_subset_1 @ B @ ( u1_struct_0 @ A ) ) )
     => ( m1_subset_1 @ ( k3_group_1 @ A @ B ) @ ( u1_struct_0 @ A ) ) ) ).

thf(zip_derived_cl31,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( l1_group_1 @ X0 )
      | ~ ( v4_group_1 @ X0 )
      | ~ ( v3_group_1 @ X0 )
      | ( v3_struct_0 @ X0 )
      | ~ ( m1_subset_1 @ X1 @ ( u1_struct_0 @ X0 ) )
      | ( m1_subset_1 @ ( k3_group_1 @ X0 @ X1 ) @ ( u1_struct_0 @ X0 ) ) ),
    inference(cnf,[status(esa)],[dt_k3_group_1]) ).

thf(zip_derived_cl579,plain,
    ! [X0: $i] :
      ( ( m1_subset_1 @ ( k3_group_1 @ sk_ @ X0 ) @ ( u1_struct_0 @ sk_ ) )
      | ~ ( m1_subset_1 @ X0 @ ( u1_struct_0 @ sk_ ) )
      | ( v3_struct_0 @ sk_ )
      | ~ ( v3_group_1 @ sk_ )
      | ~ ( l1_group_1 @ sk_ ) ),
    inference('dp-resolution',[status(thm)],[zip_derived_cl2,zip_derived_cl31]) ).

thf(zip_derived_cl0_013,plain,
    ~ ( v3_struct_0 @ sk_ ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl1_014,plain,
    v3_group_1 @ 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_cl892,plain,
    ! [X0: $i] :
      ( ( m1_subset_1 @ ( k3_group_1 @ sk_ @ X0 ) @ ( u1_struct_0 @ sk_ ) )
      | ~ ( m1_subset_1 @ X0 @ ( u1_struct_0 @ sk_ ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl579,zip_derived_cl0,zip_derived_cl1,zip_derived_cl3]) ).

thf(zip_derived_cl959,plain,
    ! [X0: $i] :
      ( ~ ( r1_rlvect_1 @ sk__1 @ X0 )
      | ~ ( m1_subset_1 @ X0 @ ( u1_struct_0 @ sk_ ) )
      | ( r2_hidden @ ( k3_group_1 @ sk_ @ X0 ) @ ( k1_funct_1 @ ( k1_latsubgr @ sk_ ) @ sk__1 ) ) ),
    inference(clc,[status(thm)],[zip_derived_cl945,zip_derived_cl892]) ).

thf(zip_derived_cl962,plain,
    ! [X0: $i] :
      ( ~ ( m1_subset_1 @ X0 @ ( u1_struct_0 @ sk_ ) )
      | ~ ( r2_hidden @ X0 @ ( k1_funct_1 @ ( k1_latsubgr @ sk_ ) @ sk__1 ) )
      | ( r2_hidden @ ( k3_group_1 @ sk_ @ X0 ) @ ( k1_funct_1 @ ( k1_latsubgr @ sk_ ) @ sk__1 ) )
      | ~ ( m1_subset_1 @ X0 @ ( u1_struct_0 @ sk_ ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl891,zip_derived_cl959]) ).

thf(zip_derived_cl964,plain,
    ! [X0: $i] :
      ( ( r2_hidden @ ( k3_group_1 @ sk_ @ X0 ) @ ( k1_funct_1 @ ( k1_latsubgr @ sk_ ) @ sk__1 ) )
      | ~ ( r2_hidden @ X0 @ ( k1_funct_1 @ ( k1_latsubgr @ sk_ ) @ sk__1 ) )
      | ~ ( m1_subset_1 @ X0 @ ( u1_struct_0 @ sk_ ) ) ),
    inference(simplify,[status(thm)],[zip_derived_cl962]) ).

thf(zip_derived_cl993,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_cl5,zip_derived_cl964]) ).

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

thf(zip_derived_cl6,plain,
    r2_hidden @ sk__2 @ ( k1_funct_1 @ ( k1_latsubgr @ sk_ ) @ sk__1 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl995,plain,
    $false,
    inference(demod,[status(thm)],[zip_derived_cl993,zip_derived_cl4,zip_derived_cl6]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12  % Problem  : GRP644+1 : TPTP v8.1.2. Released v3.4.0.
% 0.11/0.13  % Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.fKbznNtY8i true
% 0.13/0.35  % Computer : n016.cluster.edu
% 0.13/0.35  % Model    : x86_64 x86_64
% 0.13/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35  % Memory   : 8042.1875MB
% 0.13/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35  % CPULimit : 300
% 0.13/0.35  % WCLimit  : 300
% 0.13/0.35  % DateTime : Mon Aug 28 20:42:00 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
% 0.56/0.65  % Total configuration time : 435
% 0.56/0.65  % Estimated wc time : 1092
% 0.56/0.65  % Estimated cpu time (7 cpus) : 156.0
% 0.56/0.70  % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.56/0.72  % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.56/0.73  % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.56/0.75  % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.56/0.75  % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.56/0.76  % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.56/0.76  % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 0.56/0.82  % Solved by fo/fo3_bce.sh.
% 0.56/0.82  % BCE start: 89
% 0.56/0.82  % BCE eliminated: 3
% 0.56/0.82  % PE start: 86
% 0.56/0.82  logic: eq
% 0.56/0.82  % PE eliminated: -1
% 0.56/0.82  % done 153 iterations in 0.079s
% 0.56/0.82  % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 0.56/0.82  % SZS output start Refutation
% See solution above
% 0.56/0.82  
% 0.56/0.82  
% 0.56/0.82  % Terminating...
% 0.56/0.85  % Runner terminated.
% 1.62/0.86  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------