TSTP Solution File: GRP639+1 by Zipperpin---2.1.9999

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : GRP639+1 : TPTP v8.1.2. Released v3.4.0.
% Transfm  : NO INFORMATION
% Format   : NO INFORMATION
% Command  : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.uT3jJHsEdE true

% Computer : n029.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 01:52:33 EDT 2023

% Result   : Theorem 0.53s 1.10s
% Output   : Refutation 0.53s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   10
%            Number of leaves      :   31
% Syntax   : Number of formulae    :   83 (  29 unt;  23 typ;   0 def)
%            Number of atoms       :  178 (  11 equ;   0 cnn)
%            Maximal formula atoms :   13 (   2 avg)
%            Number of connectives :  737 (  80   ~;  68   |;  29   &; 539   @)
%                                         (   2 <=>;  19  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   17 (   7 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :   34 (  34   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   25 (  23 usr;   5 con; 0-4 aty)
%            Number of variables   :   76 (   0   ^;  76   !;   0   ?;  76   :)

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

thf(k2_zfmisc_1_type,type,
    k2_zfmisc_1: $i > $i > $i ).

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

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

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

thf(k9_relat_1_type,type,
    k9_relat_1: $i > $i > $i ).

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

thf(k5_group_4_type,type,
    k5_group_4: $i > $i > $i ).

thf(r1_tarski_type,type,
    r1_tarski: $i > $i > $o ).

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

thf(v1_relat_1_type,type,
    v1_relat_1: $i > $o ).

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

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

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

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

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

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

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

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

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

thf(k2_funct_2_type,type,
    k2_funct_2: $i > $i > $i > $i > $i ).

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

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

thf(t12_latsubgr,conjecture,
    ! [A: $i] :
      ( ( ~ ( v3_struct_0 @ A )
        & ( v3_group_1 @ A )
        & ( v4_group_1 @ A )
        & ( l1_group_1 @ A ) )
     => ! [B: $i] :
          ( ( ~ ( v3_struct_0 @ B )
            & ( v3_group_1 @ B )
            & ( v4_group_1 @ B )
            & ( l1_group_1 @ B ) )
         => ! [C: $i] :
              ( ( ( v1_funct_1 @ C )
                & ( v1_funct_2 @ C @ ( u1_struct_0 @ A ) @ ( u1_struct_0 @ B ) )
                & ( m2_relset_1 @ C @ ( u1_struct_0 @ A ) @ ( u1_struct_0 @ B ) ) )
             => ! [D: $i] :
                  ( ( m1_subset_1 @ D @ ( k1_zfmisc_1 @ ( u1_struct_0 @ A ) ) )
                 => ( r1_tarski @ ( k2_funct_2 @ ( u1_struct_0 @ A ) @ ( u1_struct_0 @ B ) @ C @ D ) @ ( k2_funct_2 @ ( u1_struct_0 @ A ) @ ( u1_struct_0 @ B ) @ C @ ( u1_struct_0 @ ( k5_group_4 @ A @ D ) ) ) ) ) ) ) ) ).

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] :
            ( ( ~ ( v3_struct_0 @ B )
              & ( v3_group_1 @ B )
              & ( v4_group_1 @ B )
              & ( l1_group_1 @ B ) )
           => ! [C: $i] :
                ( ( ( v1_funct_1 @ C )
                  & ( v1_funct_2 @ C @ ( u1_struct_0 @ A ) @ ( u1_struct_0 @ B ) )
                  & ( m2_relset_1 @ C @ ( u1_struct_0 @ A ) @ ( u1_struct_0 @ B ) ) )
               => ! [D: $i] :
                    ( ( m1_subset_1 @ D @ ( k1_zfmisc_1 @ ( u1_struct_0 @ A ) ) )
                   => ( r1_tarski @ ( k2_funct_2 @ ( u1_struct_0 @ A ) @ ( u1_struct_0 @ B ) @ C @ D ) @ ( k2_funct_2 @ ( u1_struct_0 @ A ) @ ( u1_struct_0 @ B ) @ C @ ( u1_struct_0 @ ( k5_group_4 @ A @ D ) ) ) ) ) ) ) ),
    inference('cnf.neg',[status(esa)],[t12_latsubgr]) ).

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

thf(dt_k5_group_4,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 @ ( k1_zfmisc_1 @ ( u1_struct_0 @ A ) ) ) )
     => ( ( v1_group_1 @ ( k5_group_4 @ A @ B ) )
        & ( m1_group_2 @ ( k5_group_4 @ A @ B ) @ A ) ) ) ).

thf(zip_derived_cl38,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 @ ( k1_zfmisc_1 @ ( u1_struct_0 @ X0 ) ) )
      | ( m1_group_2 @ ( k5_group_4 @ X0 @ X1 ) @ X0 ) ),
    inference(cnf,[status(esa)],[dt_k5_group_4]) ).

thf(zip_derived_cl623,plain,
    ! [X0: $i] :
      ( ( m1_group_2 @ ( k5_group_4 @ sk_ @ X0 ) @ sk_ )
      | ~ ( m1_subset_1 @ X0 @ ( k1_zfmisc_1 @ ( 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_cl38]) ).

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_cl1408,plain,
    ! [X0: $i] :
      ( ( m1_group_2 @ ( k5_group_4 @ sk_ @ X0 ) @ sk_ )
      | ~ ( m1_subset_1 @ X0 @ ( k1_zfmisc_1 @ ( u1_struct_0 @ sk_ ) ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl623,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(d5_group_4,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 @ ( k1_zfmisc_1 @ ( u1_struct_0 @ A ) ) )
         => ! [C: $i] :
              ( ( ( v1_group_1 @ C )
                & ( m1_group_2 @ C @ A ) )
             => ( ( C
                  = ( k5_group_4 @ A @ B ) )
              <=> ( ( r1_tarski @ B @ ( u1_struct_0 @ C ) )
                  & ! [D: $i] :
                      ( ( ( v1_group_1 @ D )
                        & ( m1_group_2 @ D @ A ) )
                     => ( ( r1_tarski @ B @ ( u1_struct_0 @ D ) )
                       => ( m1_group_2 @ C @ D ) ) ) ) ) ) ) ) ).

thf(zip_derived_cl25,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ~ ( m1_subset_1 @ X0 @ ( k1_zfmisc_1 @ ( u1_struct_0 @ X1 ) ) )
      | ( X2
       != ( k5_group_4 @ X1 @ X0 ) )
      | ( r1_tarski @ X0 @ ( 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)],[d5_group_4]) ).

thf(zip_derived_cl616,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_ )
      | ( r1_tarski @ X0 @ ( u1_struct_0 @ X1 ) )
      | ( X1
       != ( k5_group_4 @ sk_ @ X0 ) )
      | ~ ( m1_subset_1 @ X0 @ ( k1_zfmisc_1 @ ( u1_struct_0 @ sk_ ) ) ) ),
    inference('dp-resolution',[status(thm)],[zip_derived_cl2,zip_derived_cl25]) ).

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_cl1315,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( v1_group_1 @ X1 )
      | ~ ( m1_group_2 @ X1 @ sk_ )
      | ( r1_tarski @ X0 @ ( u1_struct_0 @ X1 ) )
      | ( X1
       != ( k5_group_4 @ sk_ @ X0 ) )
      | ~ ( m1_subset_1 @ X0 @ ( k1_zfmisc_1 @ ( u1_struct_0 @ sk_ ) ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl616,zip_derived_cl0,zip_derived_cl1,zip_derived_cl3]) ).

thf(zip_derived_cl1412,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( m1_subset_1 @ X0 @ ( k1_zfmisc_1 @ ( u1_struct_0 @ sk_ ) ) )
      | ~ ( v1_group_1 @ ( k5_group_4 @ sk_ @ X0 ) )
      | ( r1_tarski @ X1 @ ( u1_struct_0 @ ( k5_group_4 @ sk_ @ X0 ) ) )
      | ( ( k5_group_4 @ sk_ @ X0 )
       != ( k5_group_4 @ sk_ @ X1 ) )
      | ~ ( m1_subset_1 @ X1 @ ( k1_zfmisc_1 @ ( u1_struct_0 @ sk_ ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl1408,zip_derived_cl1315]) ).

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

thf(zip_derived_cl37,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 @ ( k1_zfmisc_1 @ ( u1_struct_0 @ X0 ) ) )
      | ( v1_group_1 @ ( k5_group_4 @ X0 @ X1 ) ) ),
    inference(cnf,[status(esa)],[dt_k5_group_4]) ).

thf(zip_derived_cl622,plain,
    ! [X0: $i] :
      ( ( v1_group_1 @ ( k5_group_4 @ sk_ @ X0 ) )
      | ~ ( m1_subset_1 @ X0 @ ( k1_zfmisc_1 @ ( 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_cl37]) ).

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_cl1401,plain,
    ! [X0: $i] :
      ( ( v1_group_1 @ ( k5_group_4 @ sk_ @ X0 ) )
      | ~ ( m1_subset_1 @ X0 @ ( k1_zfmisc_1 @ ( u1_struct_0 @ sk_ ) ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl622,zip_derived_cl0,zip_derived_cl1,zip_derived_cl3]) ).

thf(zip_derived_cl1676,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( m1_subset_1 @ X1 @ ( k1_zfmisc_1 @ ( u1_struct_0 @ sk_ ) ) )
      | ( ( k5_group_4 @ sk_ @ X0 )
       != ( k5_group_4 @ sk_ @ X1 ) )
      | ( r1_tarski @ X1 @ ( u1_struct_0 @ ( k5_group_4 @ sk_ @ X0 ) ) )
      | ~ ( m1_subset_1 @ X0 @ ( k1_zfmisc_1 @ ( u1_struct_0 @ sk_ ) ) ) ),
    inference(clc,[status(thm)],[zip_derived_cl1412,zip_derived_cl1401]) ).

thf(zip_derived_cl6,plain,
    m2_relset_1 @ sk__2 @ ( u1_struct_0 @ sk_ ) @ ( u1_struct_0 @ sk__1 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(dt_m2_relset_1,axiom,
    ! [A: $i,B: $i,C: $i] :
      ( ( m2_relset_1 @ C @ A @ B )
     => ( m1_subset_1 @ C @ ( k1_zfmisc_1 @ ( k2_zfmisc_1 @ A @ B ) ) ) ) ).

thf(zip_derived_cl47,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( m1_subset_1 @ X0 @ ( k1_zfmisc_1 @ ( k2_zfmisc_1 @ X1 @ X2 ) ) )
      | ~ ( m2_relset_1 @ X0 @ X1 @ X2 ) ),
    inference(cnf,[status(esa)],[dt_m2_relset_1]) ).

thf(zip_derived_cl599,plain,
    m1_subset_1 @ sk__2 @ ( k1_zfmisc_1 @ ( k2_zfmisc_1 @ ( u1_struct_0 @ sk_ ) @ ( u1_struct_0 @ sk__1 ) ) ),
    inference('dp-resolution',[status(thm)],[zip_derived_cl6,zip_derived_cl47]) ).

thf(cc1_relset_1,axiom,
    ! [A: $i,B: $i,C: $i] :
      ( ( m1_subset_1 @ C @ ( k1_zfmisc_1 @ ( k2_zfmisc_1 @ A @ B ) ) )
     => ( v1_relat_1 @ C ) ) ).

thf(zip_derived_cl17,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( v1_relat_1 @ X0 )
      | ~ ( m1_subset_1 @ X0 @ ( k1_zfmisc_1 @ ( k2_zfmisc_1 @ X1 @ X2 ) ) ) ),
    inference(cnf,[status(esa)],[cc1_relset_1]) ).

thf(t156_relat_1,axiom,
    ! [A: $i,B: $i,C: $i] :
      ( ( v1_relat_1 @ C )
     => ( ( r1_tarski @ A @ B )
       => ( r1_tarski @ ( k9_relat_1 @ C @ A ) @ ( k9_relat_1 @ C @ B ) ) ) ) ).

thf(zip_derived_cl85,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ~ ( r1_tarski @ X0 @ X1 )
      | ~ ( v1_relat_1 @ X2 )
      | ( r1_tarski @ ( k9_relat_1 @ X2 @ X0 ) @ ( k9_relat_1 @ X2 @ X1 ) ) ),
    inference(cnf,[status(esa)],[t156_relat_1]) ).

thf(zip_derived_cl592,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
      ( ~ ( m1_subset_1 @ X0 @ ( k1_zfmisc_1 @ ( k2_zfmisc_1 @ X2 @ X1 ) ) )
      | ( r1_tarski @ ( k9_relat_1 @ X0 @ X4 ) @ ( k9_relat_1 @ X0 @ X3 ) )
      | ~ ( r1_tarski @ X4 @ X3 ) ),
    inference('dp-resolution',[status(thm)],[zip_derived_cl17,zip_derived_cl85]) ).

thf(zip_derived_cl1066,plain,
    ! [X0: $i,X1: $i] :
      ( ( r1_tarski @ ( k9_relat_1 @ sk__2 @ X1 ) @ ( k9_relat_1 @ sk__2 @ X0 ) )
      | ~ ( r1_tarski @ X1 @ X0 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl599,zip_derived_cl592]) ).

thf(redefinition_k2_funct_2,axiom,
    ! [A: $i,B: $i,C: $i,D: $i] :
      ( ( ( v1_funct_1 @ C )
        & ( v1_funct_2 @ C @ A @ B )
        & ( m1_relset_1 @ C @ A @ B ) )
     => ( ( k2_funct_2 @ A @ B @ C @ D )
        = ( k9_relat_1 @ C @ D ) ) ) ).

thf(zip_derived_cl81,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( ~ ( m1_relset_1 @ X0 @ X1 @ X2 )
      | ~ ( v1_funct_2 @ X0 @ X1 @ X2 )
      | ~ ( v1_funct_1 @ X0 )
      | ( ( k2_funct_2 @ X1 @ X2 @ X0 @ X3 )
        = ( k9_relat_1 @ X0 @ X3 ) ) ),
    inference(cnf,[status(esa)],[redefinition_k2_funct_2]) ).

thf(zip_derived_cl81_009,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( ~ ( m1_relset_1 @ X0 @ X1 @ X2 )
      | ~ ( v1_funct_2 @ X0 @ X1 @ X2 )
      | ~ ( v1_funct_1 @ X0 )
      | ( ( k2_funct_2 @ X1 @ X2 @ X0 @ X3 )
        = ( k9_relat_1 @ X0 @ X3 ) ) ),
    inference(cnf,[status(esa)],[redefinition_k2_funct_2]) ).

thf(zip_derived_cl7,plain,
    ~ ( r1_tarski @ ( k2_funct_2 @ ( u1_struct_0 @ sk_ ) @ ( u1_struct_0 @ sk__1 ) @ sk__2 @ sk__3 ) @ ( k2_funct_2 @ ( u1_struct_0 @ sk_ ) @ ( u1_struct_0 @ sk__1 ) @ sk__2 @ ( u1_struct_0 @ ( k5_group_4 @ sk_ @ sk__3 ) ) ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl1014,plain,
    ( ~ ( v1_funct_1 @ sk__2 )
    | ~ ( v1_funct_2 @ sk__2 @ ( u1_struct_0 @ sk_ ) @ ( u1_struct_0 @ sk__1 ) )
    | ~ ( m1_relset_1 @ sk__2 @ ( u1_struct_0 @ sk_ ) @ ( u1_struct_0 @ sk__1 ) )
    | ~ ( r1_tarski @ ( k2_funct_2 @ ( u1_struct_0 @ sk_ ) @ ( u1_struct_0 @ sk__1 ) @ sk__2 @ sk__3 ) @ ( k9_relat_1 @ sk__2 @ ( u1_struct_0 @ ( k5_group_4 @ sk_ @ sk__3 ) ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl81,zip_derived_cl7]) ).

thf(zip_derived_cl4,plain,
    v1_funct_1 @ sk__2,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl5,plain,
    v1_funct_2 @ sk__2 @ ( u1_struct_0 @ sk_ ) @ ( u1_struct_0 @ sk__1 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl6_010,plain,
    m2_relset_1 @ sk__2 @ ( u1_struct_0 @ sk_ ) @ ( u1_struct_0 @ sk__1 ),
    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_cl82,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_cl600,plain,
    m1_relset_1 @ sk__2 @ ( u1_struct_0 @ sk_ ) @ ( u1_struct_0 @ sk__1 ),
    inference('dp-resolution',[status(thm)],[zip_derived_cl6,zip_derived_cl82]) ).

thf(zip_derived_cl1021,plain,
    ~ ( r1_tarski @ ( k2_funct_2 @ ( u1_struct_0 @ sk_ ) @ ( u1_struct_0 @ sk__1 ) @ sk__2 @ sk__3 ) @ ( k9_relat_1 @ sk__2 @ ( u1_struct_0 @ ( k5_group_4 @ sk_ @ sk__3 ) ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl1014,zip_derived_cl4,zip_derived_cl5,zip_derived_cl600]) ).

thf(zip_derived_cl1160,plain,
    ( ~ ( v1_funct_1 @ sk__2 )
    | ~ ( v1_funct_2 @ sk__2 @ ( u1_struct_0 @ sk_ ) @ ( u1_struct_0 @ sk__1 ) )
    | ~ ( m1_relset_1 @ sk__2 @ ( u1_struct_0 @ sk_ ) @ ( u1_struct_0 @ sk__1 ) )
    | ~ ( r1_tarski @ ( k9_relat_1 @ sk__2 @ sk__3 ) @ ( k9_relat_1 @ sk__2 @ ( u1_struct_0 @ ( k5_group_4 @ sk_ @ sk__3 ) ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl81,zip_derived_cl1021]) ).

thf(zip_derived_cl4_011,plain,
    v1_funct_1 @ sk__2,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl5_012,plain,
    v1_funct_2 @ sk__2 @ ( u1_struct_0 @ sk_ ) @ ( u1_struct_0 @ sk__1 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl600_013,plain,
    m1_relset_1 @ sk__2 @ ( u1_struct_0 @ sk_ ) @ ( u1_struct_0 @ sk__1 ),
    inference('dp-resolution',[status(thm)],[zip_derived_cl6,zip_derived_cl82]) ).

thf(zip_derived_cl1161,plain,
    ~ ( r1_tarski @ ( k9_relat_1 @ sk__2 @ sk__3 ) @ ( k9_relat_1 @ sk__2 @ ( u1_struct_0 @ ( k5_group_4 @ sk_ @ sk__3 ) ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl1160,zip_derived_cl4,zip_derived_cl5,zip_derived_cl600]) ).

thf(zip_derived_cl1918,plain,
    ~ ( r1_tarski @ sk__3 @ ( u1_struct_0 @ ( k5_group_4 @ sk_ @ sk__3 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl1066,zip_derived_cl1161]) ).

thf(zip_derived_cl1924,plain,
    ( ~ ( m1_subset_1 @ sk__3 @ ( k1_zfmisc_1 @ ( u1_struct_0 @ sk_ ) ) )
    | ( ( k5_group_4 @ sk_ @ sk__3 )
     != ( k5_group_4 @ sk_ @ sk__3 ) )
    | ~ ( m1_subset_1 @ sk__3 @ ( k1_zfmisc_1 @ ( u1_struct_0 @ sk_ ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl1676,zip_derived_cl1918]) ).

thf(zip_derived_cl8,plain,
    m1_subset_1 @ sk__3 @ ( k1_zfmisc_1 @ ( u1_struct_0 @ sk_ ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl8_014,plain,
    m1_subset_1 @ sk__3 @ ( k1_zfmisc_1 @ ( u1_struct_0 @ sk_ ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl1929,plain,
    ( ( k5_group_4 @ sk_ @ sk__3 )
   != ( k5_group_4 @ sk_ @ sk__3 ) ),
    inference(demod,[status(thm)],[zip_derived_cl1924,zip_derived_cl8,zip_derived_cl8]) ).

thf(zip_derived_cl1930,plain,
    $false,
    inference(simplify,[status(thm)],[zip_derived_cl1929]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12  % Problem  : GRP639+1 : TPTP v8.1.2. Released v3.4.0.
% 0.11/0.13  % Command  : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.uT3jJHsEdE true
% 0.12/0.34  % Computer : n029.cluster.edu
% 0.12/0.34  % Model    : x86_64 x86_64
% 0.12/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34  % Memory   : 8042.1875MB
% 0.12/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34  % CPULimit : 300
% 0.12/0.34  % WCLimit  : 300
% 0.12/0.34  % DateTime : Mon Aug 28 21:26:41 EDT 2023
% 0.12/0.34  % CPUTime  : 
% 0.12/0.34  % Running portfolio for 300 s
% 0.12/0.34  % File         : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.12/0.34  % Number of cores: 8
% 0.12/0.34  % Python version: Python 3.6.8
% 0.12/0.34  % Running in FO mode
% 0.52/0.62  % Total configuration time : 435
% 0.52/0.62  % Estimated wc time : 1092
% 0.52/0.62  % Estimated cpu time (7 cpus) : 156.0
% 0.52/0.68  % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.52/0.70  % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.53/0.72  % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.53/0.73  % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.53/0.74  % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.53/0.74  % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 0.53/0.74  % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 0.53/1.10  % Solved by fo/fo6_bce.sh.
% 0.53/1.10  % BCE start: 95
% 0.53/1.10  % BCE eliminated: 0
% 0.53/1.10  % PE start: 95
% 0.53/1.10  logic: eq
% 0.53/1.10  % PE eliminated: -5
% 0.53/1.10  % done 346 iterations in 0.399s
% 0.53/1.10  % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 0.53/1.10  % SZS output start Refutation
% See solution above
% 0.53/1.10  
% 0.53/1.10  
% 0.53/1.10  % Terminating...
% 0.53/1.16  % Runner terminated.
% 1.82/1.17  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------