TSTP Solution File: SEU417+1 by Zipperpin---2.1.9999

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : SEU417+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.9gG2gYzPb3 true

% Computer : n028.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 19:12:47 EDT 2023

% Result   : Theorem 1.40s 1.20s
% Output   : Refutation 1.40s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   17
%            Number of leaves      :   21
% Syntax   : Number of formulae    :   66 (  20 unt;  12 typ;   0 def)
%            Number of atoms       :  128 (  13 equ;   0 cnn)
%            Maximal formula atoms :    5 (   2 avg)
%            Number of connectives :  783 (  70   ~;  50   |;   5   &; 639   @)
%                                         (   0 <=>;  16  =>;   3  <=;   0 <~>)
%            Maximal formula depth :   13 (   8 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :   20 (  20   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   14 (  12 usr;   4 con; 0-3 aty)
%            Number of variables   :   80 (   0   ^;  80   !;   0   ?;  80   :)

% Comments : 
%------------------------------------------------------------------------------
thf(sk__2_type,type,
    sk__2: $i ).

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

thf(k4_subset_1_type,type,
    k4_subset_1: $i > $i > $i > $i ).

thf(k5_subset_1_type,type,
    k5_subset_1: $i > $i > $i > $i ).

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

thf(k2_xboole_0_type,type,
    k2_xboole_0: $i > $i > $i ).

thf(k1_relset_2_type,type,
    k1_relset_2: $i > $i > $i > $i ).

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

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

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

thf(k8_setfam_1_type,type,
    k8_setfam_1: $i > $i > $i ).

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

thf(redefinition_k5_subset_1,axiom,
    ! [A: $i,B: $i,C: $i] :
      ( ( ( m1_subset_1 @ B @ ( k1_zfmisc_1 @ A ) )
        & ( m1_subset_1 @ C @ ( k1_zfmisc_1 @ A ) ) )
     => ( ( k5_subset_1 @ A @ B @ C )
        = ( k3_xboole_0 @ B @ C ) ) ) ).

thf(zip_derived_cl45,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ~ ( m1_subset_1 @ X0 @ ( k1_zfmisc_1 @ X1 ) )
      | ~ ( m1_subset_1 @ X2 @ ( k1_zfmisc_1 @ X1 ) )
      | ( ( k5_subset_1 @ X1 @ X0 @ X2 )
        = ( k3_xboole_0 @ X0 @ X2 ) ) ),
    inference(cnf,[status(esa)],[redefinition_k5_subset_1]) ).

thf(dt_k5_subset_1,axiom,
    ! [A: $i,B: $i,C: $i] :
      ( ( ( m1_subset_1 @ B @ ( k1_zfmisc_1 @ A ) )
        & ( m1_subset_1 @ C @ ( k1_zfmisc_1 @ A ) ) )
     => ( m1_subset_1 @ ( k5_subset_1 @ A @ B @ C ) @ ( k1_zfmisc_1 @ A ) ) ) ).

thf(zip_derived_cl16,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ~ ( m1_subset_1 @ X0 @ ( k1_zfmisc_1 @ X1 ) )
      | ~ ( m1_subset_1 @ X2 @ ( k1_zfmisc_1 @ X1 ) )
      | ( m1_subset_1 @ ( k5_subset_1 @ X1 @ X0 @ X2 ) @ ( k1_zfmisc_1 @ X1 ) ) ),
    inference(cnf,[status(esa)],[dt_k5_subset_1]) ).

thf(zip_derived_cl477,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ~ ( m1_subset_1 @ X0 @ ( k1_zfmisc_1 @ X2 ) )
      | ~ ( m1_subset_1 @ X1 @ ( k1_zfmisc_1 @ X2 ) )
      | ~ ( m1_subset_1 @ X1 @ ( k1_zfmisc_1 @ X2 ) )
      | ~ ( m1_subset_1 @ X0 @ ( k1_zfmisc_1 @ X2 ) )
      | ( m1_subset_1 @ ( k3_xboole_0 @ X1 @ X0 ) @ ( k1_zfmisc_1 @ X2 ) ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl45,zip_derived_cl16]) ).

thf(zip_derived_cl490,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( m1_subset_1 @ ( k3_xboole_0 @ X1 @ X0 ) @ ( k1_zfmisc_1 @ X2 ) )
      | ~ ( m1_subset_1 @ X1 @ ( k1_zfmisc_1 @ X2 ) )
      | ~ ( m1_subset_1 @ X0 @ ( k1_zfmisc_1 @ X2 ) ) ),
    inference(simplify,[status(thm)],[zip_derived_cl477]) ).

thf(t59_setfam_1,axiom,
    ! [A: $i,B: $i] :
      ( ( m1_subset_1 @ B @ ( k1_zfmisc_1 @ ( k1_zfmisc_1 @ A ) ) )
     => ! [C: $i] :
          ( ( m1_subset_1 @ C @ ( k1_zfmisc_1 @ ( k1_zfmisc_1 @ A ) ) )
         => ( ( r1_tarski @ B @ C )
           => ( r1_tarski @ ( k8_setfam_1 @ A @ C ) @ ( k8_setfam_1 @ A @ B ) ) ) ) ) ).

thf(zip_derived_cl55,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ~ ( m1_subset_1 @ X0 @ ( k1_zfmisc_1 @ ( k1_zfmisc_1 @ X1 ) ) )
      | ( r1_tarski @ ( k8_setfam_1 @ X1 @ X0 ) @ ( k8_setfam_1 @ X1 @ X2 ) )
      | ~ ( r1_tarski @ X2 @ X0 )
      | ~ ( m1_subset_1 @ X2 @ ( k1_zfmisc_1 @ ( k1_zfmisc_1 @ X1 ) ) ) ),
    inference(cnf,[status(esa)],[t59_setfam_1]) ).

thf(redefinition_k4_subset_1,axiom,
    ! [A: $i,B: $i,C: $i] :
      ( ( ( m1_subset_1 @ B @ ( k1_zfmisc_1 @ A ) )
        & ( m1_subset_1 @ C @ ( k1_zfmisc_1 @ A ) ) )
     => ( ( k4_subset_1 @ A @ B @ C )
        = ( k2_xboole_0 @ B @ C ) ) ) ).

thf(zip_derived_cl44,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ~ ( m1_subset_1 @ X0 @ ( k1_zfmisc_1 @ X1 ) )
      | ~ ( m1_subset_1 @ X2 @ ( k1_zfmisc_1 @ X1 ) )
      | ( ( k4_subset_1 @ X1 @ X0 @ X2 )
        = ( k2_xboole_0 @ X0 @ X2 ) ) ),
    inference(cnf,[status(esa)],[redefinition_k4_subset_1]) ).

thf(t8_mssubfam,axiom,
    ! [A: $i,B: $i] :
      ( ( m1_subset_1 @ B @ ( k1_zfmisc_1 @ ( k1_zfmisc_1 @ A ) ) )
     => ! [C: $i] :
          ( ( m1_subset_1 @ C @ ( k1_zfmisc_1 @ ( k1_zfmisc_1 @ A ) ) )
         => ! [D: $i] :
              ( ( m1_subset_1 @ D @ ( k1_zfmisc_1 @ ( k1_zfmisc_1 @ A ) ) )
             => ( ( B
                  = ( k4_subset_1 @ ( k1_zfmisc_1 @ A ) @ C @ D ) )
               => ( ( k8_setfam_1 @ A @ B )
                  = ( k5_subset_1 @ A @ ( k8_setfam_1 @ A @ C ) @ ( k8_setfam_1 @ A @ D ) ) ) ) ) ) ) ).

thf(zip_derived_cl60,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( ~ ( m1_subset_1 @ X0 @ ( k1_zfmisc_1 @ ( k1_zfmisc_1 @ X1 ) ) )
      | ( X3
       != ( k4_subset_1 @ ( k1_zfmisc_1 @ X1 ) @ X0 @ X2 ) )
      | ( ( k8_setfam_1 @ X1 @ X3 )
        = ( k5_subset_1 @ X1 @ ( k8_setfam_1 @ X1 @ X0 ) @ ( k8_setfam_1 @ X1 @ X2 ) ) )
      | ~ ( m1_subset_1 @ X2 @ ( k1_zfmisc_1 @ ( k1_zfmisc_1 @ X1 ) ) )
      | ~ ( m1_subset_1 @ X3 @ ( k1_zfmisc_1 @ ( k1_zfmisc_1 @ X1 ) ) ) ),
    inference(cnf,[status(esa)],[t8_mssubfam]) ).

thf(zip_derived_cl582,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ~ ( m1_subset_1 @ ( k4_subset_1 @ ( k1_zfmisc_1 @ X0 ) @ X2 @ X1 ) @ ( k1_zfmisc_1 @ ( k1_zfmisc_1 @ X0 ) ) )
      | ~ ( m1_subset_1 @ X1 @ ( k1_zfmisc_1 @ ( k1_zfmisc_1 @ X0 ) ) )
      | ( ( k8_setfam_1 @ X0 @ ( k4_subset_1 @ ( k1_zfmisc_1 @ X0 ) @ X2 @ X1 ) )
        = ( k5_subset_1 @ X0 @ ( k8_setfam_1 @ X0 @ X2 ) @ ( k8_setfam_1 @ X0 @ X1 ) ) )
      | ~ ( m1_subset_1 @ X2 @ ( k1_zfmisc_1 @ ( k1_zfmisc_1 @ X0 ) ) ) ),
    inference(eq_res,[status(thm)],[zip_derived_cl60]) ).

thf(dt_k4_subset_1,axiom,
    ! [A: $i,B: $i,C: $i] :
      ( ( ( m1_subset_1 @ B @ ( k1_zfmisc_1 @ A ) )
        & ( m1_subset_1 @ C @ ( k1_zfmisc_1 @ A ) ) )
     => ( m1_subset_1 @ ( k4_subset_1 @ A @ B @ C ) @ ( k1_zfmisc_1 @ A ) ) ) ).

thf(zip_derived_cl15,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ~ ( m1_subset_1 @ X0 @ ( k1_zfmisc_1 @ X1 ) )
      | ~ ( m1_subset_1 @ X2 @ ( k1_zfmisc_1 @ X1 ) )
      | ( m1_subset_1 @ ( k4_subset_1 @ X1 @ X0 @ X2 ) @ ( k1_zfmisc_1 @ X1 ) ) ),
    inference(cnf,[status(esa)],[dt_k4_subset_1]) ).

thf(zip_derived_cl2122,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ~ ( m1_subset_1 @ X2 @ ( k1_zfmisc_1 @ ( k1_zfmisc_1 @ X0 ) ) )
      | ( ( k8_setfam_1 @ X0 @ ( k4_subset_1 @ ( k1_zfmisc_1 @ X0 ) @ X2 @ X1 ) )
        = ( k5_subset_1 @ X0 @ ( k8_setfam_1 @ X0 @ X2 ) @ ( k8_setfam_1 @ X0 @ X1 ) ) )
      | ~ ( m1_subset_1 @ X1 @ ( k1_zfmisc_1 @ ( k1_zfmisc_1 @ X0 ) ) ) ),
    inference(clc,[status(thm)],[zip_derived_cl582,zip_derived_cl15]) ).

thf(redefinition_k1_relset_2,axiom,
    ! [A: $i,B: $i,C: $i] :
      ( ( ( m1_subset_1 @ B @ ( k1_zfmisc_1 @ ( k1_zfmisc_1 @ A ) ) )
        & ( m1_subset_1 @ C @ ( k1_zfmisc_1 @ ( k1_zfmisc_1 @ A ) ) ) )
     => ( ( k1_relset_2 @ A @ B @ C )
        = ( k3_xboole_0 @ B @ C ) ) ) ).

thf(zip_derived_cl43,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ~ ( m1_subset_1 @ X0 @ ( k1_zfmisc_1 @ ( k1_zfmisc_1 @ X1 ) ) )
      | ~ ( m1_subset_1 @ X2 @ ( k1_zfmisc_1 @ ( k1_zfmisc_1 @ X1 ) ) )
      | ( ( k1_relset_2 @ X1 @ X0 @ X2 )
        = ( k3_xboole_0 @ X0 @ X2 ) ) ),
    inference(cnf,[status(esa)],[redefinition_k1_relset_2]) ).

thf(t7_relset_2,conjecture,
    ! [A: $i,B: $i] :
      ( ( m1_subset_1 @ B @ ( k1_zfmisc_1 @ ( k1_zfmisc_1 @ A ) ) )
     => ! [C: $i] :
          ( ( m1_subset_1 @ C @ ( k1_zfmisc_1 @ ( k1_zfmisc_1 @ A ) ) )
         => ( r1_tarski @ ( k5_subset_1 @ A @ ( k8_setfam_1 @ A @ B ) @ ( k8_setfam_1 @ A @ C ) ) @ ( k8_setfam_1 @ A @ ( k1_relset_2 @ A @ B @ C ) ) ) ) ) ).

thf(zf_stmt_0,negated_conjecture,
    ~ ! [A: $i,B: $i] :
        ( ( m1_subset_1 @ B @ ( k1_zfmisc_1 @ ( k1_zfmisc_1 @ A ) ) )
       => ! [C: $i] :
            ( ( m1_subset_1 @ C @ ( k1_zfmisc_1 @ ( k1_zfmisc_1 @ A ) ) )
           => ( r1_tarski @ ( k5_subset_1 @ A @ ( k8_setfam_1 @ A @ B ) @ ( k8_setfam_1 @ A @ C ) ) @ ( k8_setfam_1 @ A @ ( k1_relset_2 @ A @ B @ C ) ) ) ) ),
    inference('cnf.neg',[status(esa)],[t7_relset_2]) ).

thf(zip_derived_cl1,plain,
    ~ ( r1_tarski @ ( k5_subset_1 @ sk_ @ ( k8_setfam_1 @ sk_ @ sk__1 ) @ ( k8_setfam_1 @ sk_ @ sk__2 ) ) @ ( k8_setfam_1 @ sk_ @ ( k1_relset_2 @ sk_ @ sk__1 @ sk__2 ) ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl360,plain,
    ( ~ ( m1_subset_1 @ sk__2 @ ( k1_zfmisc_1 @ ( k1_zfmisc_1 @ sk_ ) ) )
    | ~ ( m1_subset_1 @ sk__1 @ ( k1_zfmisc_1 @ ( k1_zfmisc_1 @ sk_ ) ) )
    | ~ ( r1_tarski @ ( k5_subset_1 @ sk_ @ ( k8_setfam_1 @ sk_ @ sk__1 ) @ ( k8_setfam_1 @ sk_ @ sk__2 ) ) @ ( k8_setfam_1 @ sk_ @ ( k3_xboole_0 @ sk__1 @ sk__2 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl43,zip_derived_cl1]) ).

thf(zip_derived_cl2,plain,
    m1_subset_1 @ sk__2 @ ( k1_zfmisc_1 @ ( k1_zfmisc_1 @ sk_ ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl0,plain,
    m1_subset_1 @ sk__1 @ ( k1_zfmisc_1 @ ( k1_zfmisc_1 @ sk_ ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl369,plain,
    ~ ( r1_tarski @ ( k5_subset_1 @ sk_ @ ( k8_setfam_1 @ sk_ @ sk__1 ) @ ( k8_setfam_1 @ sk_ @ sk__2 ) ) @ ( k8_setfam_1 @ sk_ @ ( k3_xboole_0 @ sk__1 @ sk__2 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl360,zip_derived_cl2,zip_derived_cl0]) ).

thf(zip_derived_cl2140,plain,
    ( ~ ( m1_subset_1 @ sk__2 @ ( k1_zfmisc_1 @ ( k1_zfmisc_1 @ sk_ ) ) )
    | ~ ( m1_subset_1 @ sk__1 @ ( k1_zfmisc_1 @ ( k1_zfmisc_1 @ sk_ ) ) )
    | ~ ( r1_tarski @ ( k8_setfam_1 @ sk_ @ ( k4_subset_1 @ ( k1_zfmisc_1 @ sk_ ) @ sk__1 @ sk__2 ) ) @ ( k8_setfam_1 @ sk_ @ ( k3_xboole_0 @ sk__1 @ sk__2 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl2122,zip_derived_cl369]) ).

thf(zip_derived_cl2_001,plain,
    m1_subset_1 @ sk__2 @ ( k1_zfmisc_1 @ ( k1_zfmisc_1 @ sk_ ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl0_002,plain,
    m1_subset_1 @ sk__1 @ ( k1_zfmisc_1 @ ( k1_zfmisc_1 @ sk_ ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl2149,plain,
    ~ ( r1_tarski @ ( k8_setfam_1 @ sk_ @ ( k4_subset_1 @ ( k1_zfmisc_1 @ sk_ ) @ sk__1 @ sk__2 ) ) @ ( k8_setfam_1 @ sk_ @ ( k3_xboole_0 @ sk__1 @ sk__2 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl2140,zip_derived_cl2,zip_derived_cl0]) ).

thf(zip_derived_cl2225,plain,
    ( ~ ( m1_subset_1 @ sk__2 @ ( k1_zfmisc_1 @ ( k1_zfmisc_1 @ sk_ ) ) )
    | ~ ( m1_subset_1 @ sk__1 @ ( k1_zfmisc_1 @ ( k1_zfmisc_1 @ sk_ ) ) )
    | ~ ( r1_tarski @ ( k8_setfam_1 @ sk_ @ ( k2_xboole_0 @ sk__1 @ sk__2 ) ) @ ( k8_setfam_1 @ sk_ @ ( k3_xboole_0 @ sk__1 @ sk__2 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl44,zip_derived_cl2149]) ).

thf(zip_derived_cl2_003,plain,
    m1_subset_1 @ sk__2 @ ( k1_zfmisc_1 @ ( k1_zfmisc_1 @ sk_ ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl0_004,plain,
    m1_subset_1 @ sk__1 @ ( k1_zfmisc_1 @ ( k1_zfmisc_1 @ sk_ ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl2229,plain,
    ~ ( r1_tarski @ ( k8_setfam_1 @ sk_ @ ( k2_xboole_0 @ sk__1 @ sk__2 ) ) @ ( k8_setfam_1 @ sk_ @ ( k3_xboole_0 @ sk__1 @ sk__2 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl2225,zip_derived_cl2,zip_derived_cl0]) ).

thf(zip_derived_cl2283,plain,
    ( ~ ( m1_subset_1 @ ( k3_xboole_0 @ sk__1 @ sk__2 ) @ ( k1_zfmisc_1 @ ( k1_zfmisc_1 @ sk_ ) ) )
    | ~ ( r1_tarski @ ( k3_xboole_0 @ sk__1 @ sk__2 ) @ ( k2_xboole_0 @ sk__1 @ sk__2 ) )
    | ~ ( m1_subset_1 @ ( k2_xboole_0 @ sk__1 @ sk__2 ) @ ( k1_zfmisc_1 @ ( k1_zfmisc_1 @ sk_ ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl55,zip_derived_cl2229]) ).

thf(t29_xboole_1,axiom,
    ! [A: $i,B: $i,C: $i] : ( r1_tarski @ ( k3_xboole_0 @ A @ B ) @ ( k2_xboole_0 @ A @ C ) ) ).

thf(zip_derived_cl49,plain,
    ! [X0: $i,X1: $i,X2: $i] : ( r1_tarski @ ( k3_xboole_0 @ X0 @ X1 ) @ ( k2_xboole_0 @ X0 @ X2 ) ),
    inference(cnf,[status(esa)],[t29_xboole_1]) ).

thf(zip_derived_cl2286,plain,
    ( ~ ( m1_subset_1 @ ( k3_xboole_0 @ sk__1 @ sk__2 ) @ ( k1_zfmisc_1 @ ( k1_zfmisc_1 @ sk_ ) ) )
    | ~ ( m1_subset_1 @ ( k2_xboole_0 @ sk__1 @ sk__2 ) @ ( k1_zfmisc_1 @ ( k1_zfmisc_1 @ sk_ ) ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl2283,zip_derived_cl49]) ).

thf(zip_derived_cl2652,plain,
    ( ~ ( m1_subset_1 @ ( k3_xboole_0 @ sk__1 @ sk__2 ) @ ( k1_zfmisc_1 @ ( k1_zfmisc_1 @ sk_ ) ) )
   <= ~ ( m1_subset_1 @ ( k3_xboole_0 @ sk__1 @ sk__2 ) @ ( k1_zfmisc_1 @ ( k1_zfmisc_1 @ sk_ ) ) ) ),
    inference(split,[status(esa)],[zip_derived_cl2286]) ).

thf(zip_derived_cl44_005,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ~ ( m1_subset_1 @ X0 @ ( k1_zfmisc_1 @ X1 ) )
      | ~ ( m1_subset_1 @ X2 @ ( k1_zfmisc_1 @ X1 ) )
      | ( ( k4_subset_1 @ X1 @ X0 @ X2 )
        = ( k2_xboole_0 @ X0 @ X2 ) ) ),
    inference(cnf,[status(esa)],[redefinition_k4_subset_1]) ).

thf(zip_derived_cl15_006,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ~ ( m1_subset_1 @ X0 @ ( k1_zfmisc_1 @ X1 ) )
      | ~ ( m1_subset_1 @ X2 @ ( k1_zfmisc_1 @ X1 ) )
      | ( m1_subset_1 @ ( k4_subset_1 @ X1 @ X0 @ X2 ) @ ( k1_zfmisc_1 @ X1 ) ) ),
    inference(cnf,[status(esa)],[dt_k4_subset_1]) ).

thf(zip_derived_cl409,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ~ ( m1_subset_1 @ X0 @ ( k1_zfmisc_1 @ X2 ) )
      | ~ ( m1_subset_1 @ X1 @ ( k1_zfmisc_1 @ X2 ) )
      | ~ ( m1_subset_1 @ X1 @ ( k1_zfmisc_1 @ X2 ) )
      | ~ ( m1_subset_1 @ X0 @ ( k1_zfmisc_1 @ X2 ) )
      | ( m1_subset_1 @ ( k2_xboole_0 @ X1 @ X0 ) @ ( k1_zfmisc_1 @ X2 ) ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl44,zip_derived_cl15]) ).

thf(zip_derived_cl414,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( m1_subset_1 @ ( k2_xboole_0 @ X1 @ X0 ) @ ( k1_zfmisc_1 @ X2 ) )
      | ~ ( m1_subset_1 @ X1 @ ( k1_zfmisc_1 @ X2 ) )
      | ~ ( m1_subset_1 @ X0 @ ( k1_zfmisc_1 @ X2 ) ) ),
    inference(simplify,[status(thm)],[zip_derived_cl409]) ).

thf(zip_derived_cl2651,plain,
    ( ~ ( m1_subset_1 @ ( k2_xboole_0 @ sk__1 @ sk__2 ) @ ( k1_zfmisc_1 @ ( k1_zfmisc_1 @ sk_ ) ) )
   <= ~ ( m1_subset_1 @ ( k2_xboole_0 @ sk__1 @ sk__2 ) @ ( k1_zfmisc_1 @ ( k1_zfmisc_1 @ sk_ ) ) ) ),
    inference(split,[status(esa)],[zip_derived_cl2286]) ).

thf(zip_derived_cl2654,plain,
    ( ( ~ ( m1_subset_1 @ sk__2 @ ( k1_zfmisc_1 @ ( k1_zfmisc_1 @ sk_ ) ) )
      | ~ ( m1_subset_1 @ sk__1 @ ( k1_zfmisc_1 @ ( k1_zfmisc_1 @ sk_ ) ) ) )
   <= ~ ( m1_subset_1 @ ( k2_xboole_0 @ sk__1 @ sk__2 ) @ ( k1_zfmisc_1 @ ( k1_zfmisc_1 @ sk_ ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl414,zip_derived_cl2651]) ).

thf(zip_derived_cl2_007,plain,
    m1_subset_1 @ sk__2 @ ( k1_zfmisc_1 @ ( k1_zfmisc_1 @ sk_ ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl0_008,plain,
    m1_subset_1 @ sk__1 @ ( k1_zfmisc_1 @ ( k1_zfmisc_1 @ sk_ ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('0',plain,
    m1_subset_1 @ ( k2_xboole_0 @ sk__1 @ sk__2 ) @ ( k1_zfmisc_1 @ ( k1_zfmisc_1 @ sk_ ) ),
    inference(demod,[status(thm)],[zip_derived_cl2654,zip_derived_cl2,zip_derived_cl0]) ).

thf('1',plain,
    ( ~ ( m1_subset_1 @ ( k3_xboole_0 @ sk__1 @ sk__2 ) @ ( k1_zfmisc_1 @ ( k1_zfmisc_1 @ sk_ ) ) )
    | ~ ( m1_subset_1 @ ( k2_xboole_0 @ sk__1 @ sk__2 ) @ ( k1_zfmisc_1 @ ( k1_zfmisc_1 @ sk_ ) ) ) ),
    inference(split,[status(esa)],[zip_derived_cl2286]) ).

thf('2',plain,
    ~ ( m1_subset_1 @ ( k3_xboole_0 @ sk__1 @ sk__2 ) @ ( k1_zfmisc_1 @ ( k1_zfmisc_1 @ sk_ ) ) ),
    inference('sat_resolution*',[status(thm)],['0','1']) ).

thf(zip_derived_cl2658,plain,
    ~ ( m1_subset_1 @ ( k3_xboole_0 @ sk__1 @ sk__2 ) @ ( k1_zfmisc_1 @ ( k1_zfmisc_1 @ sk_ ) ) ),
    inference(simpl_trail,[status(thm)],[zip_derived_cl2652,'2']) ).

thf(zip_derived_cl2660,plain,
    ( ~ ( m1_subset_1 @ sk__2 @ ( k1_zfmisc_1 @ ( k1_zfmisc_1 @ sk_ ) ) )
    | ~ ( m1_subset_1 @ sk__1 @ ( k1_zfmisc_1 @ ( k1_zfmisc_1 @ sk_ ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl490,zip_derived_cl2658]) ).

thf(zip_derived_cl2_009,plain,
    m1_subset_1 @ sk__2 @ ( k1_zfmisc_1 @ ( k1_zfmisc_1 @ sk_ ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl0_010,plain,
    m1_subset_1 @ sk__1 @ ( k1_zfmisc_1 @ ( k1_zfmisc_1 @ sk_ ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl2662,plain,
    $false,
    inference(demod,[status(thm)],[zip_derived_cl2660,zip_derived_cl2,zip_derived_cl0]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem  : SEU417+1 : TPTP v8.1.2. Released v3.4.0.
% 0.00/0.13  % Command  : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.9gG2gYzPb3 true
% 0.13/0.35  % Computer : n028.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 : Wed Aug 23 19:04:18 EDT 2023
% 0.13/0.35  % CPUTime  : 
% 0.13/0.35  % Running portfolio for 300 s
% 0.13/0.35  % File         : /export/starexec/sandbox/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
% 0.21/0.68  % Total configuration time : 435
% 0.21/0.68  % Estimated wc time : 1092
% 0.21/0.68  % Estimated cpu time (7 cpus) : 156.0
% 0.64/0.73  % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.64/0.74  % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.64/0.76  % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.64/0.77  % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.64/0.77  % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.64/0.77  % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 0.64/0.77  % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 1.40/1.20  % Solved by fo/fo1_av.sh.
% 1.40/1.20  % done 1010 iterations in 0.412s
% 1.40/1.20  % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 1.40/1.20  % SZS output start Refutation
% See solution above
% 1.40/1.20  
% 1.40/1.20  
% 1.40/1.20  % Terminating...
% 1.85/1.30  % Runner terminated.
% 1.85/1.31  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------