TSTP Solution File: GRP645+1 by Zipperpin---2.1.9999

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : GRP645+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.dJjj9g51qT 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 0.59s 0.84s
% Output   : Refutation 0.59s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   15
%            Number of leaves      :   26
% Syntax   : Number of formulae    :  100 (  42 unt;  20 typ;   0 def)
%            Number of atoms       :  258 (  27 equ;   0 cnn)
%            Maximal formula atoms :   11 (   3 avg)
%            Number of connectives :  961 ( 136   ~; 130   |;  32   &; 647   @)
%                                         (   2 <=>;  14  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   18 (   6 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :   28 (  28   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   22 (  20 usr;   4 con; 0-3 aty)
%            Number of variables   :   63 (   0   ^;  63   !;   0   ?;  63   :)

% 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__type,type,
    sk_: $i ).

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

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

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

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

thf(k9_group_2_type,type,
    k9_group_2: $i > $i > $i > $i ).

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

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

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

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

thf(k3_xboole_0_type,type,
    k3_xboole_0: $i > $i > $i ).

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

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

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

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

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

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

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

thf(t24_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] :
              ( ( ( v1_group_1 @ C )
                & ( m1_group_2 @ C @ A ) )
             => ( ( k1_funct_1 @ ( k1_latsubgr @ A ) @ ( k9_group_2 @ A @ B @ C ) )
                = ( k3_xboole_0 @ ( k1_funct_1 @ ( k1_latsubgr @ A ) @ B ) @ ( k1_funct_1 @ ( k1_latsubgr @ A ) @ C ) ) ) ) ) ) ).

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] :
                ( ( ( v1_group_1 @ C )
                  & ( m1_group_2 @ C @ A ) )
               => ( ( k1_funct_1 @ ( k1_latsubgr @ A ) @ ( k9_group_2 @ A @ B @ C ) )
                  = ( k3_xboole_0 @ ( k1_funct_1 @ ( k1_latsubgr @ A ) @ B ) @ ( k1_funct_1 @ ( k1_latsubgr @ A ) @ C ) ) ) ) ) ),
    inference('cnf.neg',[status(esa)],[t24_latsubgr]) ).

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

thf(dt_k9_group_2,axiom,
    ! [A: $i,B: $i,C: $i] :
      ( ( ~ ( v3_struct_0 @ A )
        & ( v3_group_1 @ A )
        & ( v4_group_1 @ A )
        & ( l1_group_1 @ A )
        & ( m1_group_2 @ B @ A )
        & ( m1_group_2 @ C @ A ) )
     => ( ( v1_group_1 @ ( k9_group_2 @ A @ B @ C ) )
        & ( m1_group_2 @ ( k9_group_2 @ A @ B @ C ) @ A ) ) ) ).

thf(zip_derived_cl41,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ~ ( m1_group_2 @ X0 @ X1 )
      | ~ ( l1_group_1 @ X1 )
      | ~ ( v4_group_1 @ X1 )
      | ~ ( v3_group_1 @ X1 )
      | ( v3_struct_0 @ X1 )
      | ~ ( m1_group_2 @ X2 @ X1 )
      | ( v1_group_1 @ ( k9_group_2 @ X1 @ X0 @ X2 ) ) ),
    inference(cnf,[status(esa)],[dt_k9_group_2]) ).

thf(zip_derived_cl656,plain,
    ! [X0: $i,X1: $i] :
      ( ( v1_group_1 @ ( k9_group_2 @ sk_ @ X0 @ X1 ) )
      | ~ ( m1_group_2 @ X1 @ sk_ )
      | ( v3_struct_0 @ sk_ )
      | ~ ( v3_group_1 @ sk_ )
      | ~ ( l1_group_1 @ sk_ )
      | ~ ( m1_group_2 @ X0 @ sk_ ) ),
    inference('dp-resolution',[status(thm)],[zip_derived_cl2,zip_derived_cl41]) ).

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_cl3,plain,
    l1_group_1 @ sk_,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl1008,plain,
    ! [X0: $i,X1: $i] :
      ( ( v1_group_1 @ ( k9_group_2 @ sk_ @ X0 @ X1 ) )
      | ~ ( m1_group_2 @ X1 @ sk_ )
      | ~ ( m1_group_2 @ X0 @ sk_ ) ),
    inference(demod,[status(thm)],[zip_derived_cl656,zip_derived_cl0,zip_derived_cl1,zip_derived_cl3]) ).

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

thf(t23_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] :
              ( ( ( v1_group_1 @ C )
                & ( m1_group_2 @ C @ A ) )
             => ( ( u1_struct_0 @ ( k9_group_2 @ A @ B @ C ) )
                = ( k3_xboole_0 @ ( k1_funct_1 @ ( k1_latsubgr @ A ) @ B ) @ ( k1_funct_1 @ ( k1_latsubgr @ A ) @ C ) ) ) ) ) ) ).

thf(zip_derived_cl90,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ~ ( v1_group_1 @ X0 )
      | ~ ( m1_group_2 @ X0 @ X1 )
      | ( ( u1_struct_0 @ ( k9_group_2 @ X1 @ X0 @ X2 ) )
        = ( k3_xboole_0 @ ( k1_funct_1 @ ( k1_latsubgr @ X1 ) @ X0 ) @ ( k1_funct_1 @ ( k1_latsubgr @ X1 ) @ 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)],[t23_latsubgr]) ).

thf(zip_derived_cl659,plain,
    ! [X0: $i,X1: $i] :
      ( ( v3_struct_0 @ sk_ )
      | ~ ( v3_group_1 @ sk_ )
      | ~ ( l1_group_1 @ sk_ )
      | ~ ( v1_group_1 @ X1 )
      | ~ ( m1_group_2 @ X1 @ sk_ )
      | ( ( u1_struct_0 @ ( k9_group_2 @ sk_ @ X0 @ X1 ) )
        = ( k3_xboole_0 @ ( k1_funct_1 @ ( k1_latsubgr @ sk_ ) @ X0 ) @ ( k1_funct_1 @ ( k1_latsubgr @ sk_ ) @ X1 ) ) )
      | ~ ( m1_group_2 @ X0 @ sk_ )
      | ~ ( v1_group_1 @ X0 ) ),
    inference('dp-resolution',[status(thm)],[zip_derived_cl2,zip_derived_cl90]) ).

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_cl3_004,plain,
    l1_group_1 @ sk_,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl1093,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( v1_group_1 @ X1 )
      | ~ ( m1_group_2 @ X1 @ sk_ )
      | ( ( u1_struct_0 @ ( k9_group_2 @ sk_ @ X0 @ X1 ) )
        = ( k3_xboole_0 @ ( k1_funct_1 @ ( k1_latsubgr @ sk_ ) @ X0 ) @ ( k1_funct_1 @ ( k1_latsubgr @ sk_ ) @ X1 ) ) )
      | ~ ( m1_group_2 @ X0 @ sk_ )
      | ~ ( v1_group_1 @ X0 ) ),
    inference(demod,[status(thm)],[zip_derived_cl659,zip_derived_cl0,zip_derived_cl1,zip_derived_cl3]) ).

thf(zip_derived_cl2_005,plain,
    v4_group_1 @ sk_,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl40,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ~ ( m1_group_2 @ X0 @ X1 )
      | ~ ( l1_group_1 @ X1 )
      | ~ ( v4_group_1 @ X1 )
      | ~ ( v3_group_1 @ X1 )
      | ( v3_struct_0 @ X1 )
      | ~ ( m1_group_2 @ X2 @ X1 )
      | ( m1_group_2 @ ( k9_group_2 @ X1 @ X0 @ X2 ) @ X1 ) ),
    inference(cnf,[status(esa)],[dt_k9_group_2]) ).

thf(zip_derived_cl655,plain,
    ! [X0: $i,X1: $i] :
      ( ( m1_group_2 @ ( k9_group_2 @ sk_ @ X0 @ X1 ) @ sk_ )
      | ~ ( m1_group_2 @ X1 @ sk_ )
      | ( v3_struct_0 @ sk_ )
      | ~ ( v3_group_1 @ sk_ )
      | ~ ( l1_group_1 @ sk_ )
      | ~ ( m1_group_2 @ X0 @ sk_ ) ),
    inference('dp-resolution',[status(thm)],[zip_derived_cl2,zip_derived_cl40]) ).

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

thf(zip_derived_cl1_007,plain,
    v3_group_1 @ sk_,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl3_008,plain,
    l1_group_1 @ sk_,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl1045,plain,
    ! [X0: $i,X1: $i] :
      ( ( m1_group_2 @ ( k9_group_2 @ sk_ @ X0 @ X1 ) @ sk_ )
      | ~ ( m1_group_2 @ X1 @ sk_ )
      | ~ ( m1_group_2 @ X0 @ sk_ ) ),
    inference(demod,[status(thm)],[zip_derived_cl655,zip_derived_cl0,zip_derived_cl1,zip_derived_cl3]) ).

thf(zip_derived_cl2_009,plain,
    v4_group_1 @ sk_,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

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_cl32,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_cl652,plain,
    ( ( v3_struct_0 @ sk_ )
    | ~ ( v3_group_1 @ sk_ )
    | ~ ( l1_group_1 @ sk_ )
    | ( v1_funct_2 @ ( k1_latsubgr @ sk_ ) @ ( k1_group_3 @ sk_ ) @ ( k1_zfmisc_1 @ ( u1_struct_0 @ sk_ ) ) ) ),
    inference('dp-resolution',[status(thm)],[zip_derived_cl2,zip_derived_cl32]) ).

thf(zip_derived_cl0_010,plain,
    ~ ( v3_struct_0 @ 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_cl3_012,plain,
    l1_group_1 @ sk_,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl1040,plain,
    v1_funct_2 @ ( k1_latsubgr @ sk_ ) @ ( k1_group_3 @ sk_ ) @ ( k1_zfmisc_1 @ ( u1_struct_0 @ sk_ ) ),
    inference(demod,[status(thm)],[zip_derived_cl652,zip_derived_cl0,zip_derived_cl1,zip_derived_cl3]) ).

thf(zip_derived_cl2_013,plain,
    v4_group_1 @ sk_,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

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_cl87,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( m2_relset_1 @ X0 @ X1 @ X2 )
      | ~ ( m1_relset_1 @ X0 @ X1 @ X2 ) ),
    inference(cnf,[status(esa)],[redefinition_m2_relset_1]) ).

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_cl23,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_cl645,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ~ ( m1_relset_1 @ X1 @ ( k1_group_3 @ X0 ) @ ( k1_zfmisc_1 @ ( u1_struct_0 @ X0 ) ) )
      | ( v3_struct_0 @ X0 )
      | ~ ( v3_group_1 @ X0 )
      | ~ ( v4_group_1 @ X0 )
      | ~ ( l1_group_1 @ X0 )
      | ~ ( v1_group_1 @ X2 )
      | ~ ( m1_group_2 @ X2 @ X0 )
      | ( ( k1_funct_1 @ X1 @ X2 )
        = ( u1_struct_0 @ X2 ) )
      | ( X1
       != ( k1_latsubgr @ X0 ) )
      | ~ ( v1_funct_2 @ X1 @ ( k1_group_3 @ X0 ) @ ( k1_zfmisc_1 @ ( u1_struct_0 @ X0 ) ) )
      | ~ ( v1_funct_1 @ X1 ) ),
    inference('dp-resolution',[status(thm)],[zip_derived_cl87,zip_derived_cl23]) ).

thf(zip_derived_cl661,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( v1_funct_1 @ X0 )
      | ~ ( v1_funct_2 @ X0 @ ( k1_group_3 @ sk_ ) @ ( k1_zfmisc_1 @ ( u1_struct_0 @ sk_ ) ) )
      | ( X0
       != ( k1_latsubgr @ sk_ ) )
      | ( ( k1_funct_1 @ X0 @ X1 )
        = ( u1_struct_0 @ X1 ) )
      | ~ ( m1_group_2 @ X1 @ sk_ )
      | ~ ( v1_group_1 @ X1 )
      | ~ ( l1_group_1 @ sk_ )
      | ~ ( v3_group_1 @ sk_ )
      | ( v3_struct_0 @ sk_ )
      | ~ ( m1_relset_1 @ X0 @ ( k1_group_3 @ sk_ ) @ ( k1_zfmisc_1 @ ( u1_struct_0 @ sk_ ) ) ) ),
    inference('dp-resolution',[status(thm)],[zip_derived_cl2,zip_derived_cl645]) ).

thf(zip_derived_cl3_014,plain,
    l1_group_1 @ sk_,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl1_015,plain,
    v3_group_1 @ sk_,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl0_016,plain,
    ~ ( v3_struct_0 @ sk_ ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl1121,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( v1_funct_1 @ X0 )
      | ~ ( v1_funct_2 @ X0 @ ( k1_group_3 @ sk_ ) @ ( k1_zfmisc_1 @ ( u1_struct_0 @ sk_ ) ) )
      | ( X0
       != ( k1_latsubgr @ sk_ ) )
      | ( ( k1_funct_1 @ X0 @ X1 )
        = ( u1_struct_0 @ X1 ) )
      | ~ ( m1_group_2 @ X1 @ sk_ )
      | ~ ( v1_group_1 @ X1 )
      | ~ ( m1_relset_1 @ X0 @ ( k1_group_3 @ sk_ ) @ ( k1_zfmisc_1 @ ( u1_struct_0 @ sk_ ) ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl661,zip_derived_cl3,zip_derived_cl1,zip_derived_cl0]) ).

thf(zip_derived_cl1122,plain,
    ! [X0: $i] :
      ( ~ ( m1_relset_1 @ ( k1_latsubgr @ sk_ ) @ ( k1_group_3 @ sk_ ) @ ( k1_zfmisc_1 @ ( u1_struct_0 @ sk_ ) ) )
      | ~ ( v1_group_1 @ X0 )
      | ~ ( m1_group_2 @ X0 @ sk_ )
      | ( ( k1_funct_1 @ ( k1_latsubgr @ sk_ ) @ X0 )
        = ( u1_struct_0 @ X0 ) )
      | ( ( k1_latsubgr @ sk_ )
       != ( k1_latsubgr @ sk_ ) )
      | ~ ( v1_funct_1 @ ( k1_latsubgr @ sk_ ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl1040,zip_derived_cl1121]) ).

thf(zip_derived_cl2_017,plain,
    v4_group_1 @ sk_,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl33,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(zip_derived_cl86,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_cl642,plain,
    ! [X0: $i] :
      ( ( v3_struct_0 @ X0 )
      | ~ ( v3_group_1 @ X0 )
      | ~ ( v4_group_1 @ X0 )
      | ~ ( l1_group_1 @ X0 )
      | ( m1_relset_1 @ ( k1_latsubgr @ X0 ) @ ( k1_group_3 @ X0 ) @ ( k1_zfmisc_1 @ ( u1_struct_0 @ X0 ) ) ) ),
    inference('dp-resolution',[status(thm)],[zip_derived_cl33,zip_derived_cl86]) ).

thf(zip_derived_cl660,plain,
    ( ( m1_relset_1 @ ( k1_latsubgr @ sk_ ) @ ( k1_group_3 @ sk_ ) @ ( k1_zfmisc_1 @ ( 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_cl642]) ).

thf(zip_derived_cl3_018,plain,
    l1_group_1 @ sk_,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl1_019,plain,
    v3_group_1 @ sk_,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl0_020,plain,
    ~ ( v3_struct_0 @ sk_ ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl1112,plain,
    m1_relset_1 @ ( k1_latsubgr @ sk_ ) @ ( k1_group_3 @ sk_ ) @ ( k1_zfmisc_1 @ ( u1_struct_0 @ sk_ ) ),
    inference(demod,[status(thm)],[zip_derived_cl660,zip_derived_cl3,zip_derived_cl1,zip_derived_cl0]) ).

thf(zip_derived_cl2_021,plain,
    v4_group_1 @ sk_,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl31,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_cl651,plain,
    ( ( v3_struct_0 @ sk_ )
    | ~ ( v3_group_1 @ sk_ )
    | ~ ( l1_group_1 @ sk_ )
    | ( v1_funct_1 @ ( k1_latsubgr @ sk_ ) ) ),
    inference('dp-resolution',[status(thm)],[zip_derived_cl2,zip_derived_cl31]) ).

thf(zip_derived_cl0_022,plain,
    ~ ( v3_struct_0 @ sk_ ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl1_023,plain,
    v3_group_1 @ sk_,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl3_024,plain,
    l1_group_1 @ sk_,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl961,plain,
    v1_funct_1 @ ( k1_latsubgr @ sk_ ),
    inference(demod,[status(thm)],[zip_derived_cl651,zip_derived_cl0,zip_derived_cl1,zip_derived_cl3]) ).

thf(zip_derived_cl1124,plain,
    ! [X0: $i] :
      ( ~ ( v1_group_1 @ X0 )
      | ~ ( m1_group_2 @ X0 @ sk_ )
      | ( ( k1_funct_1 @ ( k1_latsubgr @ sk_ ) @ X0 )
        = ( u1_struct_0 @ X0 ) )
      | ( ( k1_latsubgr @ sk_ )
       != ( k1_latsubgr @ sk_ ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl1122,zip_derived_cl1112,zip_derived_cl961]) ).

thf(zip_derived_cl1125,plain,
    ! [X0: $i] :
      ( ( ( k1_funct_1 @ ( k1_latsubgr @ sk_ ) @ X0 )
        = ( u1_struct_0 @ X0 ) )
      | ~ ( m1_group_2 @ X0 @ sk_ )
      | ~ ( v1_group_1 @ X0 ) ),
    inference(simplify,[status(thm)],[zip_derived_cl1124]) ).

thf(zip_derived_cl6,plain,
    ( ( k1_funct_1 @ ( k1_latsubgr @ sk_ ) @ ( k9_group_2 @ sk_ @ sk__1 @ sk__2 ) )
   != ( k3_xboole_0 @ ( k1_funct_1 @ ( k1_latsubgr @ sk_ ) @ sk__1 ) @ ( k1_funct_1 @ ( k1_latsubgr @ sk_ ) @ sk__2 ) ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl1132,plain,
    ( ( ( u1_struct_0 @ ( k9_group_2 @ sk_ @ sk__1 @ sk__2 ) )
     != ( k3_xboole_0 @ ( k1_funct_1 @ ( k1_latsubgr @ sk_ ) @ sk__1 ) @ ( k1_funct_1 @ ( k1_latsubgr @ sk_ ) @ sk__2 ) ) )
    | ~ ( v1_group_1 @ ( k9_group_2 @ sk_ @ sk__1 @ sk__2 ) )
    | ~ ( m1_group_2 @ ( k9_group_2 @ sk_ @ sk__1 @ sk__2 ) @ sk_ ) ),
    inference('sup-',[status(thm)],[zip_derived_cl1125,zip_derived_cl6]) ).

thf(zip_derived_cl1134,plain,
    ( ~ ( m1_group_2 @ sk__1 @ sk_ )
    | ~ ( m1_group_2 @ sk__2 @ sk_ )
    | ~ ( v1_group_1 @ ( k9_group_2 @ sk_ @ sk__1 @ sk__2 ) )
    | ( ( u1_struct_0 @ ( k9_group_2 @ sk_ @ sk__1 @ sk__2 ) )
     != ( k3_xboole_0 @ ( k1_funct_1 @ ( k1_latsubgr @ sk_ ) @ sk__1 ) @ ( k1_funct_1 @ ( k1_latsubgr @ sk_ ) @ sk__2 ) ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl1045,zip_derived_cl1132]) ).

thf(zip_derived_cl7,plain,
    m1_group_2 @ sk__1 @ sk_,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl5,plain,
    m1_group_2 @ sk__2 @ sk_,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl1135,plain,
    ( ~ ( v1_group_1 @ ( k9_group_2 @ sk_ @ sk__1 @ sk__2 ) )
    | ( ( u1_struct_0 @ ( k9_group_2 @ sk_ @ sk__1 @ sk__2 ) )
     != ( k3_xboole_0 @ ( k1_funct_1 @ ( k1_latsubgr @ sk_ ) @ sk__1 ) @ ( k1_funct_1 @ ( k1_latsubgr @ sk_ ) @ sk__2 ) ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl1134,zip_derived_cl7,zip_derived_cl5]) ).

thf(zip_derived_cl1137,plain,
    ( ( ( k3_xboole_0 @ ( k1_funct_1 @ ( k1_latsubgr @ sk_ ) @ sk__1 ) @ ( k1_funct_1 @ ( k1_latsubgr @ sk_ ) @ sk__2 ) )
     != ( k3_xboole_0 @ ( k1_funct_1 @ ( k1_latsubgr @ sk_ ) @ sk__1 ) @ ( k1_funct_1 @ ( k1_latsubgr @ sk_ ) @ sk__2 ) ) )
    | ~ ( v1_group_1 @ sk__1 )
    | ~ ( m1_group_2 @ sk__1 @ sk_ )
    | ~ ( m1_group_2 @ sk__2 @ sk_ )
    | ~ ( v1_group_1 @ sk__2 )
    | ~ ( v1_group_1 @ ( k9_group_2 @ sk_ @ sk__1 @ sk__2 ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl1093,zip_derived_cl1135]) ).

thf(zip_derived_cl8,plain,
    v1_group_1 @ sk__1,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl7_025,plain,
    m1_group_2 @ sk__1 @ sk_,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl5_026,plain,
    m1_group_2 @ sk__2 @ sk_,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl4,plain,
    v1_group_1 @ sk__2,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl1138,plain,
    ( ( ( k3_xboole_0 @ ( k1_funct_1 @ ( k1_latsubgr @ sk_ ) @ sk__1 ) @ ( k1_funct_1 @ ( k1_latsubgr @ sk_ ) @ sk__2 ) )
     != ( k3_xboole_0 @ ( k1_funct_1 @ ( k1_latsubgr @ sk_ ) @ sk__1 ) @ ( k1_funct_1 @ ( k1_latsubgr @ sk_ ) @ sk__2 ) ) )
    | ~ ( v1_group_1 @ ( k9_group_2 @ sk_ @ sk__1 @ sk__2 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl1137,zip_derived_cl8,zip_derived_cl7,zip_derived_cl5,zip_derived_cl4]) ).

thf(zip_derived_cl1139,plain,
    ~ ( v1_group_1 @ ( k9_group_2 @ sk_ @ sk__1 @ sk__2 ) ),
    inference(simplify,[status(thm)],[zip_derived_cl1138]) ).

thf(zip_derived_cl1141,plain,
    ( ~ ( m1_group_2 @ sk__1 @ sk_ )
    | ~ ( m1_group_2 @ sk__2 @ sk_ ) ),
    inference('sup-',[status(thm)],[zip_derived_cl1008,zip_derived_cl1139]) ).

thf(zip_derived_cl7_027,plain,
    m1_group_2 @ sk__1 @ sk_,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl5_028,plain,
    m1_group_2 @ sk__2 @ sk_,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl1142,plain,
    $false,
    inference(demod,[status(thm)],[zip_derived_cl1141,zip_derived_cl7,zip_derived_cl5]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.14  % Problem  : GRP645+1 : TPTP v8.1.2. Released v3.4.0.
% 0.08/0.15  % Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.dJjj9g51qT true
% 0.15/0.37  % Computer : n016.cluster.edu
% 0.15/0.37  % Model    : x86_64 x86_64
% 0.15/0.37  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.37  % Memory   : 8042.1875MB
% 0.15/0.37  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.15/0.37  % CPULimit : 300
% 0.15/0.37  % WCLimit  : 300
% 0.15/0.37  % DateTime : Mon Aug 28 23:52:15 EDT 2023
% 0.15/0.37  % CPUTime  : 
% 0.15/0.37  % Running portfolio for 300 s
% 0.15/0.37  % File         : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.15/0.37  % Number of cores: 8
% 0.15/0.38  % Python version: Python 3.6.8
% 0.15/0.38  % Running in FO mode
% 0.57/0.68  % Total configuration time : 435
% 0.57/0.68  % Estimated wc time : 1092
% 0.57/0.68  % Estimated cpu time (7 cpus) : 156.0
% 0.59/0.72  % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.59/0.72  % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.59/0.76  % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.59/0.76  % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.59/0.78  % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.59/0.79  % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.59/0.79  % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 0.59/0.84  % Solved by fo/fo3_bce.sh.
% 0.59/0.84  % BCE start: 100
% 0.59/0.84  % BCE eliminated: 3
% 0.59/0.84  % PE start: 97
% 0.59/0.84  logic: eq
% 0.59/0.84  % PE eliminated: 6
% 0.59/0.84  % done 197 iterations in 0.085s
% 0.59/0.84  % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 0.59/0.84  % SZS output start Refutation
% See solution above
% 0.59/0.84  
% 0.59/0.84  
% 0.59/0.84  % Terminating...
% 0.62/0.91  % Runner terminated.
% 0.62/0.92  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------