TSTP Solution File: SEU425+1 by Zipperpin---2.1.9999

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : SEU425+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.ZH5L7DVlUK 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 19:12:53 EDT 2023

% Result   : Theorem 1.45s 1.10s
% Output   : Refutation 1.45s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   20
%            Number of leaves      :   40
% Syntax   : Number of formulae    :   89 (  14 unt;  25 typ;   0 def)
%            Number of atoms       :  202 (  70 equ;   0 cnn)
%            Maximal formula atoms :    9 (   3 avg)
%            Number of connectives :  829 ( 100   ~;  99   |;  12   &; 591   @)
%                                         (   6 <=>;  21  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   13 (   8 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :   41 (  41   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   25 (  23 usr;   5 con; 0-3 aty)
%            Number of variables   :  126 (   0   ^; 126   !;   0   ?; 126   :)

% Comments : 
%------------------------------------------------------------------------------
thf(k5_relset_2_type,type,
    k5_relset_2: $i > $i > $i ).

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

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

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

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

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

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

thf(k1_xboole_0_type,type,
    k1_xboole_0: $i ).

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

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

thf(zip_tseitin_0_type,type,
    zip_tseitin_0: $i > $i > $o ).

thf(v3_relat_1_type,type,
    v3_relat_1: $i > $o ).

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

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

thf(k1_relat_1_type,type,
    k1_relat_1: $i > $i ).

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

thf(k4_relset_1_type,type,
    k4_relset_1: $i > $i > $i > $i ).

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

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

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

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

thf(zip_tseitin_1_type,type,
    zip_tseitin_1: $i > $i > $i > $o ).

thf(k2_relat_1_type,type,
    k2_relat_1: $i > $i ).

thf(dt_k5_relset_2,axiom,
    ! [A: $i,B: $i] :
      ( ( v1_relat_1 @ B )
     => ( ( v1_relat_1 @ ( k5_relset_2 @ A @ B ) )
        & ( v1_funct_1 @ ( k5_relset_2 @ A @ B ) ) ) ) ).

thf(zip_derived_cl23,plain,
    ! [X0: $i,X1: $i] :
      ( ( v1_relat_1 @ ( k5_relset_2 @ X0 @ X1 ) )
      | ~ ( v1_relat_1 @ X1 ) ),
    inference(cnf,[status(esa)],[dt_k5_relset_2]) ).

thf(zip_derived_cl24,plain,
    ! [X0: $i,X1: $i] :
      ( ( v1_funct_1 @ ( k5_relset_2 @ X0 @ X1 ) )
      | ~ ( v1_relat_1 @ X1 ) ),
    inference(cnf,[status(esa)],[dt_k5_relset_2]) ).

thf(d3_relset_2,axiom,
    ! [A: $i,B: $i] :
      ( ( v1_relat_1 @ B )
     => ! [C: $i] :
          ( ( ( v1_relat_1 @ C )
            & ( v1_funct_1 @ C ) )
         => ( ( C
              = ( k5_relset_2 @ A @ B ) )
          <=> ( ( ( k1_relat_1 @ C )
                = ( k1_zfmisc_1 @ A ) )
              & ! [D: $i] :
                  ( ( r1_tarski @ D @ A )
                 => ( ( k1_funct_1 @ C @ D )
                    = ( k9_relat_1 @ B @ D ) ) ) ) ) ) ) ).

thf(zip_derived_cl15,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ~ ( v1_relat_1 @ X0 )
      | ~ ( v1_funct_1 @ X0 )
      | ( X0
       != ( k5_relset_2 @ X1 @ X2 ) )
      | ( ( k1_relat_1 @ X0 )
        = ( k1_zfmisc_1 @ X1 ) )
      | ~ ( v1_relat_1 @ X2 ) ),
    inference(cnf,[status(esa)],[d3_relset_2]) ).

thf(zip_derived_cl334,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( ~ ( v1_relat_1 @ X0 )
      | ~ ( v1_relat_1 @ X2 )
      | ( ( k1_relat_1 @ ( k5_relset_2 @ X1 @ X0 ) )
        = ( k1_zfmisc_1 @ X3 ) )
      | ( ( k5_relset_2 @ X1 @ X0 )
       != ( k5_relset_2 @ X3 @ X2 ) )
      | ~ ( v1_relat_1 @ ( k5_relset_2 @ X1 @ X0 ) ) ),
    inference('dp-resolution',[status(thm)],[zip_derived_cl24,zip_derived_cl15]) ).

thf(zip_derived_cl23_001,plain,
    ! [X0: $i,X1: $i] :
      ( ( v1_relat_1 @ ( k5_relset_2 @ X0 @ X1 ) )
      | ~ ( v1_relat_1 @ X1 ) ),
    inference(cnf,[status(esa)],[dt_k5_relset_2]) ).

thf(zip_derived_cl538,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( ( ( k5_relset_2 @ X1 @ X0 )
       != ( k5_relset_2 @ X3 @ X2 ) )
      | ( ( k1_relat_1 @ ( k5_relset_2 @ X1 @ X0 ) )
        = ( k1_zfmisc_1 @ X3 ) )
      | ~ ( v1_relat_1 @ X2 )
      | ~ ( v1_relat_1 @ X0 ) ),
    inference(clc,[status(thm)],[zip_derived_cl334,zip_derived_cl23]) ).

thf(zip_derived_cl539,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( v1_relat_1 @ X0 )
      | ~ ( v1_relat_1 @ X0 )
      | ( ( k1_relat_1 @ ( k5_relset_2 @ X1 @ X0 ) )
        = ( k1_zfmisc_1 @ X1 ) ) ),
    inference(eq_res,[status(thm)],[zip_derived_cl538]) ).

thf(zip_derived_cl540,plain,
    ! [X0: $i,X1: $i] :
      ( ( ( k1_relat_1 @ ( k5_relset_2 @ X1 @ X0 ) )
        = ( k1_zfmisc_1 @ X1 ) )
      | ~ ( v1_relat_1 @ X0 ) ),
    inference(simplify,[status(thm)],[zip_derived_cl539]) ).

thf(t11_relset_1,axiom,
    ! [A: $i,B: $i,C: $i] :
      ( ( v1_relat_1 @ C )
     => ( ( ( r1_tarski @ ( k1_relat_1 @ C ) @ A )
          & ( r1_tarski @ ( k2_relat_1 @ C ) @ B ) )
       => ( m2_relset_1 @ C @ A @ B ) ) ) ).

thf(zip_derived_cl63,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ~ ( r1_tarski @ ( k1_relat_1 @ X0 ) @ X1 )
      | ~ ( r1_tarski @ ( k2_relat_1 @ X0 ) @ X2 )
      | ( m2_relset_1 @ X0 @ X1 @ X2 )
      | ~ ( v1_relat_1 @ X0 ) ),
    inference(cnf,[status(esa)],[t11_relset_1]) ).

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_cl60,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(redefinition_k4_relset_1,axiom,
    ! [A: $i,B: $i,C: $i] :
      ( ( m1_relset_1 @ C @ A @ B )
     => ( ( k4_relset_1 @ A @ B @ C )
        = ( k1_relat_1 @ C ) ) ) ).

thf(zip_derived_cl59,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( ( k4_relset_1 @ X1 @ X2 @ X0 )
        = ( k1_relat_1 @ X0 ) )
      | ~ ( m1_relset_1 @ X0 @ X1 @ X2 ) ),
    inference(cnf,[status(esa)],[redefinition_k4_relset_1]) ).

thf(zip_derived_cl327,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ~ ( m2_relset_1 @ X2 @ X1 @ X0 )
      | ( ( k4_relset_1 @ X1 @ X0 @ X2 )
        = ( k1_relat_1 @ X2 ) ) ),
    inference('dp-resolution',[status(thm)],[zip_derived_cl60,zip_derived_cl59]) ).

thf(d1_funct_2,axiom,
    ! [A: $i,B: $i,C: $i] :
      ( ( m2_relset_1 @ C @ A @ B )
     => ( ( ( B = k1_xboole_0 )
         => ( ( ( v1_funct_2 @ C @ A @ B )
            <=> ( C = k1_xboole_0 ) )
            | ( A = k1_xboole_0 ) ) )
        & ( ( ( B = k1_xboole_0 )
           => ( A = k1_xboole_0 ) )
         => ( ( v1_funct_2 @ C @ A @ B )
          <=> ( A
              = ( k4_relset_1 @ A @ B @ C ) ) ) ) ) ) ).

thf(zf_stmt_0,axiom,
    ! [B: $i,A: $i] :
      ( ( ( B = k1_xboole_0 )
       => ( A = k1_xboole_0 ) )
     => ( zip_tseitin_0 @ B @ A ) ) ).

thf(zip_derived_cl6,plain,
    ! [X0: $i,X1: $i] :
      ( ( zip_tseitin_0 @ X0 @ X1 )
      | ( X0 = k1_xboole_0 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zf_stmt_1,type,
    zip_tseitin_1: $i > $i > $i > $o ).

thf(zf_stmt_2,axiom,
    ! [C: $i,B: $i,A: $i] :
      ( ( zip_tseitin_1 @ C @ B @ A )
     => ( ( v1_funct_2 @ C @ A @ B )
      <=> ( A
          = ( k4_relset_1 @ A @ B @ C ) ) ) ) ).

thf(zf_stmt_3,type,
    zip_tseitin_0: $i > $i > $o ).

thf(zf_stmt_4,axiom,
    ! [A: $i,B: $i,C: $i] :
      ( ( m2_relset_1 @ C @ A @ B )
     => ( ( ( zip_tseitin_0 @ B @ A )
         => ( zip_tseitin_1 @ C @ B @ A ) )
        & ( ( B = k1_xboole_0 )
         => ( ( A = k1_xboole_0 )
            | ( ( v1_funct_2 @ C @ A @ B )
            <=> ( C = k1_xboole_0 ) ) ) ) ) ) ).

thf(zip_derived_cl9,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ~ ( zip_tseitin_0 @ X0 @ X1 )
      | ( zip_tseitin_1 @ X2 @ X0 @ X1 )
      | ~ ( m2_relset_1 @ X2 @ X1 @ X0 ) ),
    inference(cnf,[status(esa)],[zf_stmt_4]) ).

thf(zip_derived_cl319,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( X1 = k1_xboole_0 )
      | ~ ( m2_relset_1 @ X2 @ X0 @ X1 )
      | ( zip_tseitin_1 @ X2 @ X1 @ X0 ) ),
    inference('dp-resolution',[status(thm)],[zip_derived_cl6,zip_derived_cl9]) ).

thf(zip_derived_cl7,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( X0
       != ( k4_relset_1 @ X0 @ X1 @ X2 ) )
      | ( v1_funct_2 @ X2 @ X0 @ X1 )
      | ~ ( zip_tseitin_1 @ X2 @ X1 @ X0 ) ),
    inference(cnf,[status(esa)],[zf_stmt_2]) ).

thf(zip_derived_cl322,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ~ ( m2_relset_1 @ X2 @ X1 @ X0 )
      | ( X0 = k1_xboole_0 )
      | ( v1_funct_2 @ X2 @ X1 @ X0 )
      | ( X1
       != ( k4_relset_1 @ X1 @ X0 @ X2 ) ) ),
    inference('dp-resolution',[status(thm)],[zip_derived_cl319,zip_derived_cl7]) ).

thf(zip_derived_cl24_002,plain,
    ! [X0: $i,X1: $i] :
      ( ( v1_funct_1 @ ( k5_relset_2 @ X0 @ X1 ) )
      | ~ ( v1_relat_1 @ X1 ) ),
    inference(cnf,[status(esa)],[dt_k5_relset_2]) ).

thf(t21_relset_2,conjecture,
    ! [A: $i,B: $i,C: $i] :
      ( ( m1_subset_1 @ C @ ( k1_zfmisc_1 @ ( k2_zfmisc_1 @ A @ B ) ) )
     => ( ( v1_funct_1 @ ( k5_relset_2 @ A @ C ) )
        & ( v1_funct_2 @ ( k5_relset_2 @ A @ C ) @ ( k1_zfmisc_1 @ A ) @ ( k1_zfmisc_1 @ ( k2_relat_1 @ C ) ) )
        & ( m2_relset_1 @ ( k5_relset_2 @ A @ C ) @ ( k1_zfmisc_1 @ A ) @ ( k1_zfmisc_1 @ ( k2_relat_1 @ C ) ) ) ) ) ).

thf(zf_stmt_5,negated_conjecture,
    ~ ! [A: $i,B: $i,C: $i] :
        ( ( m1_subset_1 @ C @ ( k1_zfmisc_1 @ ( k2_zfmisc_1 @ A @ B ) ) )
       => ( ( v1_funct_1 @ ( k5_relset_2 @ A @ C ) )
          & ( v1_funct_2 @ ( k5_relset_2 @ A @ C ) @ ( k1_zfmisc_1 @ A ) @ ( k1_zfmisc_1 @ ( k2_relat_1 @ C ) ) )
          & ( m2_relset_1 @ ( k5_relset_2 @ A @ C ) @ ( k1_zfmisc_1 @ A ) @ ( k1_zfmisc_1 @ ( k2_relat_1 @ C ) ) ) ) ),
    inference('cnf.neg',[status(esa)],[t21_relset_2]) ).

thf(zip_derived_cl1,plain,
    ( ~ ( v1_funct_1 @ ( k5_relset_2 @ sk_ @ sk__2 ) )
    | ~ ( v1_funct_2 @ ( k5_relset_2 @ sk_ @ sk__2 ) @ ( k1_zfmisc_1 @ sk_ ) @ ( k1_zfmisc_1 @ ( k2_relat_1 @ sk__2 ) ) )
    | ~ ( m2_relset_1 @ ( k5_relset_2 @ sk_ @ sk__2 ) @ ( k1_zfmisc_1 @ sk_ ) @ ( k1_zfmisc_1 @ ( k2_relat_1 @ sk__2 ) ) ) ),
    inference(cnf,[status(esa)],[zf_stmt_5]) ).

thf(zip_derived_cl330,plain,
    ! [X0: $i,X1: $i] :
      ( ( ( k5_relset_2 @ X1 @ X0 )
       != ( k5_relset_2 @ sk_ @ sk__2 ) )
      | ~ ( v1_relat_1 @ X0 )
      | ~ ( m2_relset_1 @ ( k5_relset_2 @ sk_ @ sk__2 ) @ ( k1_zfmisc_1 @ sk_ ) @ ( k1_zfmisc_1 @ ( k2_relat_1 @ sk__2 ) ) )
      | ~ ( v1_funct_2 @ ( k5_relset_2 @ sk_ @ sk__2 ) @ ( k1_zfmisc_1 @ sk_ ) @ ( k1_zfmisc_1 @ ( k2_relat_1 @ sk__2 ) ) ) ),
    inference('dp-resolution',[status(thm)],[zip_derived_cl24,zip_derived_cl1]) ).

thf(zip_derived_cl355,plain,
    ! [X0: $i,X1: $i] :
      ( ( ( k1_zfmisc_1 @ sk_ )
       != ( k4_relset_1 @ ( k1_zfmisc_1 @ sk_ ) @ ( k1_zfmisc_1 @ ( k2_relat_1 @ sk__2 ) ) @ ( k5_relset_2 @ sk_ @ sk__2 ) ) )
      | ( ( k1_zfmisc_1 @ ( k2_relat_1 @ sk__2 ) )
        = k1_xboole_0 )
      | ~ ( m2_relset_1 @ ( k5_relset_2 @ sk_ @ sk__2 ) @ ( k1_zfmisc_1 @ sk_ ) @ ( k1_zfmisc_1 @ ( k2_relat_1 @ sk__2 ) ) )
      | ~ ( m2_relset_1 @ ( k5_relset_2 @ sk_ @ sk__2 ) @ ( k1_zfmisc_1 @ sk_ ) @ ( k1_zfmisc_1 @ ( k2_relat_1 @ sk__2 ) ) )
      | ~ ( v1_relat_1 @ X0 )
      | ( ( k5_relset_2 @ X1 @ X0 )
       != ( k5_relset_2 @ sk_ @ sk__2 ) ) ),
    inference('dp-resolution',[status(thm)],[zip_derived_cl322,zip_derived_cl330]) ).

thf(zip_derived_cl777,plain,
    ! [X0: $i,X1: $i] :
      ( ( ( k5_relset_2 @ X1 @ X0 )
       != ( k5_relset_2 @ sk_ @ sk__2 ) )
      | ~ ( v1_relat_1 @ X0 )
      | ~ ( m2_relset_1 @ ( k5_relset_2 @ sk_ @ sk__2 ) @ ( k1_zfmisc_1 @ sk_ ) @ ( k1_zfmisc_1 @ ( k2_relat_1 @ sk__2 ) ) )
      | ( ( k1_zfmisc_1 @ ( k2_relat_1 @ sk__2 ) )
        = k1_xboole_0 )
      | ( ( k1_zfmisc_1 @ sk_ )
       != ( k4_relset_1 @ ( k1_zfmisc_1 @ sk_ ) @ ( k1_zfmisc_1 @ ( k2_relat_1 @ sk__2 ) ) @ ( k5_relset_2 @ sk_ @ sk__2 ) ) ) ),
    inference(simplify,[status(thm)],[zip_derived_cl355]) ).

thf(zip_derived_cl778,plain,
    ! [X0: $i,X1: $i] :
      ( ( ( k1_zfmisc_1 @ sk_ )
       != ( k1_relat_1 @ ( k5_relset_2 @ sk_ @ sk__2 ) ) )
      | ~ ( m2_relset_1 @ ( k5_relset_2 @ sk_ @ sk__2 ) @ ( k1_zfmisc_1 @ sk_ ) @ ( k1_zfmisc_1 @ ( k2_relat_1 @ sk__2 ) ) )
      | ( ( k1_zfmisc_1 @ ( k2_relat_1 @ sk__2 ) )
        = k1_xboole_0 )
      | ~ ( m2_relset_1 @ ( k5_relset_2 @ sk_ @ sk__2 ) @ ( k1_zfmisc_1 @ sk_ ) @ ( k1_zfmisc_1 @ ( k2_relat_1 @ sk__2 ) ) )
      | ~ ( v1_relat_1 @ X0 )
      | ( ( k5_relset_2 @ X1 @ X0 )
       != ( k5_relset_2 @ sk_ @ sk__2 ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl327,zip_derived_cl777]) ).

thf(zip_derived_cl779,plain,
    ! [X0: $i,X1: $i] :
      ( ( ( k5_relset_2 @ X1 @ X0 )
       != ( k5_relset_2 @ sk_ @ sk__2 ) )
      | ~ ( v1_relat_1 @ X0 )
      | ( ( k1_zfmisc_1 @ ( k2_relat_1 @ sk__2 ) )
        = k1_xboole_0 )
      | ~ ( m2_relset_1 @ ( k5_relset_2 @ sk_ @ sk__2 ) @ ( k1_zfmisc_1 @ sk_ ) @ ( k1_zfmisc_1 @ ( k2_relat_1 @ sk__2 ) ) )
      | ( ( k1_zfmisc_1 @ sk_ )
       != ( k1_relat_1 @ ( k5_relset_2 @ sk_ @ sk__2 ) ) ) ),
    inference(simplify,[status(thm)],[zip_derived_cl778]) ).

thf(zip_derived_cl859,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( v1_relat_1 @ ( k5_relset_2 @ sk_ @ sk__2 ) )
      | ~ ( r1_tarski @ ( k2_relat_1 @ ( k5_relset_2 @ sk_ @ sk__2 ) ) @ ( k1_zfmisc_1 @ ( k2_relat_1 @ sk__2 ) ) )
      | ~ ( r1_tarski @ ( k1_relat_1 @ ( k5_relset_2 @ sk_ @ sk__2 ) ) @ ( k1_zfmisc_1 @ sk_ ) )
      | ( ( k1_zfmisc_1 @ sk_ )
       != ( k1_relat_1 @ ( k5_relset_2 @ sk_ @ sk__2 ) ) )
      | ( ( k1_zfmisc_1 @ ( k2_relat_1 @ sk__2 ) )
        = k1_xboole_0 )
      | ~ ( v1_relat_1 @ X0 )
      | ( ( k5_relset_2 @ X1 @ X0 )
       != ( k5_relset_2 @ sk_ @ sk__2 ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl63,zip_derived_cl779]) ).

thf(zip_derived_cl0,plain,
    m1_subset_1 @ sk__2 @ ( k1_zfmisc_1 @ ( k2_zfmisc_1 @ sk_ @ sk__1 ) ),
    inference(cnf,[status(esa)],[zf_stmt_5]) ).

thf(t20_relset_2,axiom,
    ! [A: $i,B: $i,C: $i] :
      ( ( m1_subset_1 @ C @ ( k1_zfmisc_1 @ ( k2_zfmisc_1 @ A @ B ) ) )
     => ( r1_tarski @ ( k2_relat_1 @ ( k5_relset_2 @ A @ C ) ) @ ( k1_zfmisc_1 @ ( k2_relat_1 @ C ) ) ) ) ).

thf(zip_derived_cl65,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( r1_tarski @ ( k2_relat_1 @ ( k5_relset_2 @ X0 @ X1 ) ) @ ( k1_zfmisc_1 @ ( k2_relat_1 @ X1 ) ) )
      | ~ ( m1_subset_1 @ X1 @ ( k1_zfmisc_1 @ ( k2_zfmisc_1 @ X0 @ X2 ) ) ) ),
    inference(cnf,[status(esa)],[t20_relset_2]) ).

thf(zip_derived_cl496,plain,
    r1_tarski @ ( k2_relat_1 @ ( k5_relset_2 @ sk_ @ sk__2 ) ) @ ( k1_zfmisc_1 @ ( k2_relat_1 @ sk__2 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl0,zip_derived_cl65]) ).

thf(zip_derived_cl860,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( v1_relat_1 @ ( k5_relset_2 @ sk_ @ sk__2 ) )
      | ~ ( r1_tarski @ ( k1_relat_1 @ ( k5_relset_2 @ sk_ @ sk__2 ) ) @ ( k1_zfmisc_1 @ sk_ ) )
      | ( ( k1_zfmisc_1 @ sk_ )
       != ( k1_relat_1 @ ( k5_relset_2 @ sk_ @ sk__2 ) ) )
      | ( ( k1_zfmisc_1 @ ( k2_relat_1 @ sk__2 ) )
        = k1_xboole_0 )
      | ~ ( v1_relat_1 @ X0 )
      | ( ( k5_relset_2 @ X1 @ X0 )
       != ( k5_relset_2 @ sk_ @ sk__2 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl859,zip_derived_cl496]) ).

thf(zip_derived_cl861,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( v1_relat_1 @ ( k5_relset_2 @ sk_ @ sk__2 ) )
      | ~ ( r1_tarski @ ( k1_zfmisc_1 @ sk_ ) @ ( k1_zfmisc_1 @ sk_ ) )
      | ( ( k1_zfmisc_1 @ sk_ )
       != ( k1_relat_1 @ ( k5_relset_2 @ sk_ @ sk__2 ) ) )
      | ( ( k1_zfmisc_1 @ ( k2_relat_1 @ sk__2 ) )
        = k1_xboole_0 )
      | ~ ( v1_relat_1 @ X0 )
      | ( ( k5_relset_2 @ X1 @ X0 )
       != ( k5_relset_2 @ sk_ @ sk__2 ) ) ),
    inference(local_rewriting,[status(thm)],[zip_derived_cl860]) ).

thf(reflexivity_r1_tarski,axiom,
    ! [A: $i,B: $i] : ( r1_tarski @ A @ A ) ).

thf(zip_derived_cl62,plain,
    ! [X0: $i] : ( r1_tarski @ X0 @ X0 ),
    inference(cnf,[status(esa)],[reflexivity_r1_tarski]) ).

thf(zip_derived_cl891,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( v1_relat_1 @ ( k5_relset_2 @ sk_ @ sk__2 ) )
      | ( ( k1_zfmisc_1 @ sk_ )
       != ( k1_relat_1 @ ( k5_relset_2 @ sk_ @ sk__2 ) ) )
      | ( ( k1_zfmisc_1 @ ( k2_relat_1 @ sk__2 ) )
        = k1_xboole_0 )
      | ~ ( v1_relat_1 @ X0 )
      | ( ( k5_relset_2 @ X1 @ X0 )
       != ( k5_relset_2 @ sk_ @ sk__2 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl861,zip_derived_cl62]) ).

thf(zip_derived_cl1779,plain,
    ! [X0: $i,X1: $i] :
      ( ( ( k1_zfmisc_1 @ sk_ )
       != ( k1_zfmisc_1 @ sk_ ) )
      | ~ ( v1_relat_1 @ sk__2 )
      | ( ( k5_relset_2 @ X1 @ X0 )
       != ( k5_relset_2 @ sk_ @ sk__2 ) )
      | ~ ( v1_relat_1 @ X0 )
      | ( ( k1_zfmisc_1 @ ( k2_relat_1 @ sk__2 ) )
        = k1_xboole_0 )
      | ~ ( v1_relat_1 @ ( k5_relset_2 @ sk_ @ sk__2 ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl540,zip_derived_cl891]) ).

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_cl4,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(zip_derived_cl0_003,plain,
    m1_subset_1 @ sk__2 @ ( k1_zfmisc_1 @ ( k2_zfmisc_1 @ sk_ @ sk__1 ) ),
    inference(cnf,[status(esa)],[zf_stmt_5]) ).

thf(zip_derived_cl370,plain,
    v1_relat_1 @ sk__2,
    inference('sup+',[status(thm)],[zip_derived_cl4,zip_derived_cl0]) ).

thf(zip_derived_cl1786,plain,
    ! [X0: $i,X1: $i] :
      ( ( ( k1_zfmisc_1 @ sk_ )
       != ( k1_zfmisc_1 @ sk_ ) )
      | ( ( k5_relset_2 @ X1 @ X0 )
       != ( k5_relset_2 @ sk_ @ sk__2 ) )
      | ~ ( v1_relat_1 @ X0 )
      | ( ( k1_zfmisc_1 @ ( k2_relat_1 @ sk__2 ) )
        = k1_xboole_0 )
      | ~ ( v1_relat_1 @ ( k5_relset_2 @ sk_ @ sk__2 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl1779,zip_derived_cl370]) ).

thf(zip_derived_cl1787,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( v1_relat_1 @ ( k5_relset_2 @ sk_ @ sk__2 ) )
      | ( ( k1_zfmisc_1 @ ( k2_relat_1 @ sk__2 ) )
        = k1_xboole_0 )
      | ~ ( v1_relat_1 @ X0 )
      | ( ( k5_relset_2 @ X1 @ X0 )
       != ( k5_relset_2 @ sk_ @ sk__2 ) ) ),
    inference(simplify,[status(thm)],[zip_derived_cl1786]) ).

thf(zip_derived_cl1794,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( v1_relat_1 @ sk__2 )
      | ( ( k5_relset_2 @ X1 @ X0 )
       != ( k5_relset_2 @ sk_ @ sk__2 ) )
      | ~ ( v1_relat_1 @ X0 )
      | ( ( k1_zfmisc_1 @ ( k2_relat_1 @ sk__2 ) )
        = k1_xboole_0 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl23,zip_derived_cl1787]) ).

thf(zip_derived_cl370_004,plain,
    v1_relat_1 @ sk__2,
    inference('sup+',[status(thm)],[zip_derived_cl4,zip_derived_cl0]) ).

thf(zip_derived_cl1795,plain,
    ! [X0: $i,X1: $i] :
      ( ( ( k5_relset_2 @ X1 @ X0 )
       != ( k5_relset_2 @ sk_ @ sk__2 ) )
      | ~ ( v1_relat_1 @ X0 )
      | ( ( k1_zfmisc_1 @ ( k2_relat_1 @ sk__2 ) )
        = k1_xboole_0 ) ),
    inference(demod,[status(thm)],[zip_derived_cl1794,zip_derived_cl370]) ).

thf(zip_derived_cl1796,plain,
    ( ( ( k1_zfmisc_1 @ ( k2_relat_1 @ sk__2 ) )
      = k1_xboole_0 )
    | ~ ( v1_relat_1 @ sk__2 ) ),
    inference(eq_res,[status(thm)],[zip_derived_cl1795]) ).

thf(zip_derived_cl370_005,plain,
    v1_relat_1 @ sk__2,
    inference('sup+',[status(thm)],[zip_derived_cl4,zip_derived_cl0]) ).

thf(zip_derived_cl1797,plain,
    ( ( k1_zfmisc_1 @ ( k2_relat_1 @ sk__2 ) )
    = k1_xboole_0 ),
    inference(demod,[status(thm)],[zip_derived_cl1796,zip_derived_cl370]) ).

thf(fc1_subset_1,axiom,
    ! [A: $i] :
      ~ ( v1_xboole_0 @ ( k1_zfmisc_1 @ A ) ) ).

thf(zip_derived_cl35,plain,
    ! [X0: $i] :
      ~ ( v1_xboole_0 @ ( k1_zfmisc_1 @ X0 ) ),
    inference(cnf,[status(esa)],[fc1_subset_1]) ).

thf(zip_derived_cl1815,plain,
    ~ ( v1_xboole_0 @ k1_xboole_0 ),
    inference('sup-',[status(thm)],[zip_derived_cl1797,zip_derived_cl35]) ).

thf(fc12_relat_1,axiom,
    ( ( v3_relat_1 @ k1_xboole_0 )
    & ( v1_relat_1 @ k1_xboole_0 )
    & ( v1_xboole_0 @ k1_xboole_0 ) ) ).

thf(zip_derived_cl34,plain,
    v1_xboole_0 @ k1_xboole_0,
    inference(cnf,[status(esa)],[fc12_relat_1]) ).

thf(zip_derived_cl1823,plain,
    $false,
    inference(demod,[status(thm)],[zip_derived_cl1815,zip_derived_cl34]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13  % Problem  : SEU425+1 : TPTP v8.1.2. Released v3.4.0.
% 0.00/0.14  % Command  : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.ZH5L7DVlUK true
% 0.14/0.36  % Computer : n016.cluster.edu
% 0.14/0.36  % Model    : x86_64 x86_64
% 0.14/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36  % Memory   : 8042.1875MB
% 0.14/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36  % CPULimit : 300
% 0.14/0.36  % WCLimit  : 300
% 0.14/0.36  % DateTime : Wed Aug 23 18:31:53 EDT 2023
% 0.14/0.36  % CPUTime  : 
% 0.14/0.36  % Running portfolio for 300 s
% 0.14/0.36  % File         : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.14/0.36  % Number of cores: 8
% 0.14/0.36  % Python version: Python 3.6.8
% 0.14/0.36  % Running in FO mode
% 0.22/0.68  % Total configuration time : 435
% 0.22/0.68  % Estimated wc time : 1092
% 0.22/0.68  % Estimated cpu time (7 cpus) : 156.0
% 0.22/0.74  % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.22/0.78  % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.22/0.79  % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.22/0.79  % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.22/0.79  % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.22/0.79  % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 1.02/0.80  % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 1.45/1.10  % Solved by fo/fo3_bce.sh.
% 1.45/1.10  % BCE start: 74
% 1.45/1.10  % BCE eliminated: 2
% 1.45/1.10  % PE start: 72
% 1.45/1.10  logic: eq
% 1.45/1.10  % PE eliminated: 2
% 1.45/1.10  % done 485 iterations in 0.292s
% 1.45/1.10  % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 1.45/1.10  % SZS output start Refutation
% See solution above
% 1.45/1.10  
% 1.45/1.10  
% 1.45/1.10  % Terminating...
% 1.77/1.17  % Runner terminated.
% 1.86/1.18  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------