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Zipperpin---2.1.9999.THM-Ref.s

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%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : SET601^5 : TPTP v9.2.0. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.UQbQMYEZ1F true

% Computer : n025.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 Oct  2 04:52:22 PM UTC 2025

% Result   : Theorem 1.36s 0.74s
% Output   : Refutation 1.36s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   28
%            Number of leaves      :    1
% Syntax   : Number of formulae    :   66 (  30 unt;   0 typ;   0 def)
%            Number of atoms       :  394 (  38 equ;   0 cnn)
%            Maximal formula atoms :    7 (   5 avg)
%            Number of connectives :  699 (  38   ~; 157   |; 137   &; 361   @)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    8 (   3 avg)
%            Number of types       :    2 (   1 usr)
%            Number of type conns  :   12 (  12   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :    8 (   4 usr;   4 con; 0-2 aty)
%                                         (   6  !!;   0  ??;   0 @@+;   0 @@-)
%            Number of variables   :   26 (  20   ^;   6   !;   0   ?;  26   :)

% Comments : 
%------------------------------------------------------------------------------
thf(a_type,type,
    a: $tType ).

thf('#sk2_type',type,
    '#sk2': a > $o ).

thf('#sk3_type',type,
    '#sk3': a > $o ).

thf('#sk1_type',type,
    '#sk1': a > $o ).

thf('#sk4_type',type,
    '#sk4': a ).

thf(cBOOL_PROP_72_pme,conjecture,
    ! [X: a > $o,Y: a > $o,Z: a > $o] :
      ( ( ^ [Xz: a] :
            ( ( ( X @ Xz )
              & ( Z @ Xz ) )
            | ( ( Z @ Xz )
              & ( Y @ Xz ) )
            | ( ( Y @ Xz )
              & ( X @ Xz ) ) ) )
      = ( ^ [Xx: a] :
            ( ( ( X @ Xx )
              | ( Z @ Xx ) )
            & ( ( Z @ Xx )
              | ( Y @ Xx ) )
            & ( ( Y @ Xx )
              | ( X @ Xx ) ) ) ) ) ).

thf(zf_stmt_0,negated_conjecture,
    ~ ! [X: a > $o,Y: a > $o,Z: a > $o] :
        ( ( ^ [Xz: a] :
              ( ( ( X @ Xz )
                & ( Z @ Xz ) )
              | ( ( Z @ Xz )
                & ( Y @ Xz ) )
              | ( ( Y @ Xz )
                & ( X @ Xz ) ) ) )
        = ( ^ [Xx: a] :
              ( ( ( X @ Xx )
                | ( Z @ Xx ) )
              & ( ( Z @ Xx )
                | ( Y @ Xx ) )
              & ( ( Y @ Xx )
                | ( X @ Xx ) ) ) ) ),
    inference('cnf.neg',[status(esa)],[cBOOL_PROP_72_pme]) ).

thf(zip_derived_cl0,plain,
    ~ ( !!
      @ ^ [Y0: a > $o] :
          ( !!
          @ ^ [Y1: a > $o] :
              ( !!
              @ ^ [Y2: a > $o] :
                  ( ( ^ [Y3: a] :
                        ( ( ( Y0 @ Y3 )
                          & ( Y2 @ Y3 ) )
                        | ( ( Y2 @ Y3 )
                          & ( Y1 @ Y3 ) )
                        | ( ( Y1 @ Y3 )
                          & ( Y0 @ Y3 ) ) ) )
                  = ( ^ [Y3: a] :
                        ( ( ( Y0 @ Y3 )
                          | ( Y2 @ Y3 ) )
                        & ( ( Y2 @ Y3 )
                          | ( Y1 @ Y3 ) )
                        & ( ( Y1 @ Y3 )
                          | ( Y0 @ Y3 ) ) ) ) ) ) ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl1,plain,
    ~ ( !!
      @ ^ [Y0: a > $o] :
          ( !!
          @ ^ [Y1: a > $o] :
              ( ( ^ [Y2: a] :
                    ( ( ( '#sk1' @ Y2 )
                      & ( Y1 @ Y2 ) )
                    | ( ( Y1 @ Y2 )
                      & ( Y0 @ Y2 ) )
                    | ( ( Y0 @ Y2 )
                      & ( '#sk1' @ Y2 ) ) ) )
              = ( ^ [Y2: a] :
                    ( ( ( '#sk1' @ Y2 )
                      | ( Y1 @ Y2 ) )
                    & ( ( Y1 @ Y2 )
                      | ( Y0 @ Y2 ) )
                    & ( ( Y0 @ Y2 )
                      | ( '#sk1' @ Y2 ) ) ) ) ) ) ),
    inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl0]) ).

thf(zip_derived_cl2,plain,
    ~ ( !!
      @ ^ [Y0: a > $o] :
          ( ( ^ [Y1: a] :
                ( ( ( '#sk1' @ Y1 )
                  & ( Y0 @ Y1 ) )
                | ( ( Y0 @ Y1 )
                  & ( '#sk2' @ Y1 ) )
                | ( ( '#sk2' @ Y1 )
                  & ( '#sk1' @ Y1 ) ) ) )
          = ( ^ [Y1: a] :
                ( ( ( '#sk1' @ Y1 )
                  | ( Y0 @ Y1 ) )
                & ( ( Y0 @ Y1 )
                  | ( '#sk2' @ Y1 ) )
                & ( ( '#sk2' @ Y1 )
                  | ( '#sk1' @ Y1 ) ) ) ) ) ),
    inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl1]) ).

thf(zip_derived_cl3,plain,
    ( ( ^ [Y0: a] :
          ( ( ( '#sk1' @ Y0 )
            & ( '#sk3' @ Y0 ) )
          | ( ( '#sk3' @ Y0 )
            & ( '#sk2' @ Y0 ) )
          | ( ( '#sk2' @ Y0 )
            & ( '#sk1' @ Y0 ) ) ) )
   != ( ^ [Y0: a] :
          ( ( ( '#sk1' @ Y0 )
            | ( '#sk3' @ Y0 ) )
          & ( ( '#sk3' @ Y0 )
            | ( '#sk2' @ Y0 ) )
          & ( ( '#sk2' @ Y0 )
            | ( '#sk1' @ Y0 ) ) ) ) ),
    inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl2]) ).

thf(zip_derived_cl4,plain,
    ( ( ^ [Y0: a] :
          ( ( ( '#sk1' @ Y0 )
            & ( '#sk3' @ Y0 ) )
          | ( ( '#sk3' @ Y0 )
            & ( '#sk2' @ Y0 ) )
          | ( ( '#sk2' @ Y0 )
            & ( '#sk1' @ Y0 ) ) ) )
   != ( ^ [Y0: a] :
          ( ( ( '#sk1' @ Y0 )
            | ( '#sk3' @ Y0 ) )
          & ( ( '#sk3' @ Y0 )
            | ( '#sk2' @ Y0 ) )
          & ( ( '#sk2' @ Y0 )
            | ( '#sk1' @ Y0 ) ) ) ) ),
    inference('simplify nested equalities',[status(thm)],[zip_derived_cl3]) ).

thf(zip_derived_cl5,plain,
    ( ( ( ( '#sk1' @ '#sk4' )
        & ( '#sk3' @ '#sk4' ) )
      | ( ( '#sk3' @ '#sk4' )
        & ( '#sk2' @ '#sk4' ) )
      | ( ( '#sk2' @ '#sk4' )
        & ( '#sk1' @ '#sk4' ) ) )
   != ( ( ( '#sk1' @ '#sk4' )
        | ( '#sk3' @ '#sk4' ) )
      & ( ( '#sk3' @ '#sk4' )
        | ( '#sk2' @ '#sk4' ) )
      & ( ( '#sk2' @ '#sk4' )
        | ( '#sk1' @ '#sk4' ) ) ) ),
    inference(neg_ext,[status(thm)],[zip_derived_cl4]) ).

thf(zip_derived_cl5_001,plain,
    ( ( ( ( '#sk1' @ '#sk4' )
        & ( '#sk3' @ '#sk4' ) )
      | ( ( '#sk3' @ '#sk4' )
        & ( '#sk2' @ '#sk4' ) )
      | ( ( '#sk2' @ '#sk4' )
        & ( '#sk1' @ '#sk4' ) ) )
   != ( ( ( '#sk1' @ '#sk4' )
        | ( '#sk3' @ '#sk4' ) )
      & ( ( '#sk3' @ '#sk4' )
        | ( '#sk2' @ '#sk4' ) )
      & ( ( '#sk2' @ '#sk4' )
        | ( '#sk1' @ '#sk4' ) ) ) ),
    inference(neg_ext,[status(thm)],[zip_derived_cl4]) ).

thf(zip_derived_cl8,plain,
    ( ( '#sk1' @ '#sk4' )
    | ( ( ( $false
          & ( '#sk3' @ '#sk4' ) )
        | ( ( '#sk3' @ '#sk4' )
          & ( '#sk2' @ '#sk4' ) )
        | ( ( '#sk2' @ '#sk4' )
          & $false ) )
     != ( ( $false
          | ( '#sk3' @ '#sk4' ) )
        & ( ( '#sk3' @ '#sk4' )
          | ( '#sk2' @ '#sk4' ) )
        & ( ( '#sk2' @ '#sk4' )
          | $false ) ) ) ),
    inference(bool_hoist,[status(thm)],[zip_derived_cl5]) ).

thf(zip_derived_cl9,plain,
    ( ( '#sk1' @ '#sk4' )
    | ( ( ( '#sk3' @ '#sk4' )
        & ( '#sk2' @ '#sk4' ) )
     != ( ( '#sk3' @ '#sk4' )
        & ( ( '#sk3' @ '#sk4' )
          | ( '#sk2' @ '#sk4' ) )
        & ( '#sk2' @ '#sk4' ) ) ) ),
    inference('simplify boolean subterms',[status(thm)],[zip_derived_cl8]) ).

thf(zip_derived_cl12,plain,
    ( ( '#sk3' @ '#sk4' )
    | ( '#sk1' @ '#sk4' )
    | ( ( $false
        & ( '#sk2' @ '#sk4' ) )
     != ( $false
        & ( $false
          | ( '#sk2' @ '#sk4' ) )
        & ( '#sk2' @ '#sk4' ) ) ) ),
    inference(bool_hoist,[status(thm)],[zip_derived_cl9]) ).

thf(zip_derived_cl13,plain,
    ( ( '#sk3' @ '#sk4' )
    | ( '#sk1' @ '#sk4' ) ),
    inference('simplify boolean subterms',[status(thm)],[zip_derived_cl12]) ).

thf(zip_derived_cl13_002,plain,
    ( ( '#sk3' @ '#sk4' )
    | ( '#sk1' @ '#sk4' ) ),
    inference('simplify boolean subterms',[status(thm)],[zip_derived_cl12]) ).

thf(zip_derived_cl13_003,plain,
    ( ( '#sk3' @ '#sk4' )
    | ( '#sk1' @ '#sk4' ) ),
    inference('simplify boolean subterms',[status(thm)],[zip_derived_cl12]) ).

thf(zip_derived_cl9_004,plain,
    ( ( '#sk1' @ '#sk4' )
    | ( ( ( '#sk3' @ '#sk4' )
        & ( '#sk2' @ '#sk4' ) )
     != ( ( '#sk3' @ '#sk4' )
        & ( ( '#sk3' @ '#sk4' )
          | ( '#sk2' @ '#sk4' ) )
        & ( '#sk2' @ '#sk4' ) ) ) ),
    inference('simplify boolean subterms',[status(thm)],[zip_derived_cl8]) ).

thf(zip_derived_cl15,plain,
    ( ( ( ( '#sk3' @ '#sk4' )
        & ( '#sk2' @ '#sk4' ) )
     != ( $true
        & ( ( '#sk3' @ '#sk4' )
          | ( '#sk2' @ '#sk4' ) )
        & ( '#sk2' @ '#sk4' ) ) )
    | ( '#sk1' @ '#sk4' )
    | ( '#sk1' @ '#sk4' ) ),
    inference('sup-',[status(thm)],[zip_derived_cl13,zip_derived_cl9]) ).

thf(zip_derived_cl21,plain,
    ( ( '#sk1' @ '#sk4' )
    | ( ( ( '#sk3' @ '#sk4' )
        & ( '#sk2' @ '#sk4' ) )
     != ( $true
        & ( ( '#sk3' @ '#sk4' )
          | ( '#sk2' @ '#sk4' ) )
        & ( '#sk2' @ '#sk4' ) ) ) ),
    inference(simplify,[status(thm)],[zip_derived_cl15]) ).

thf(zip_derived_cl22,plain,
    ( ( '#sk1' @ '#sk4' )
    | ( ( ( '#sk3' @ '#sk4' )
        & ( '#sk2' @ '#sk4' ) )
     != ( ( '#sk2' @ '#sk4' )
        & ( ( '#sk3' @ '#sk4' )
          | ( '#sk2' @ '#sk4' ) ) ) ) ),
    inference('simplify boolean subterms',[status(thm)],[zip_derived_cl21]) ).

thf(zip_derived_cl42,plain,
    ( ( ( ( '#sk3' @ '#sk4' )
        & ( '#sk2' @ '#sk4' ) )
     != ( ( '#sk2' @ '#sk4' )
        & ( $true
          | ( '#sk2' @ '#sk4' ) ) ) )
    | ( '#sk1' @ '#sk4' )
    | ( '#sk1' @ '#sk4' ) ),
    inference('sup-',[status(thm)],[zip_derived_cl13,zip_derived_cl22]) ).

thf(zip_derived_cl48,plain,
    ( ( '#sk1' @ '#sk4' )
    | ( ( ( '#sk3' @ '#sk4' )
        & ( '#sk2' @ '#sk4' ) )
     != ( ( '#sk2' @ '#sk4' )
        & ( $true
          | ( '#sk2' @ '#sk4' ) ) ) ) ),
    inference(simplify,[status(thm)],[zip_derived_cl42]) ).

thf(zip_derived_cl49,plain,
    ( ( '#sk1' @ '#sk4' )
    | ( ( ( '#sk3' @ '#sk4' )
        & ( '#sk2' @ '#sk4' ) )
     != ( '#sk2' @ '#sk4' ) ) ),
    inference('simplify boolean subterms',[status(thm)],[zip_derived_cl48]) ).

thf(zip_derived_cl53,plain,
    ( ( ( $true
        & ( '#sk2' @ '#sk4' ) )
     != ( '#sk2' @ '#sk4' ) )
    | ( '#sk1' @ '#sk4' )
    | ( '#sk1' @ '#sk4' ) ),
    inference('sup-',[status(thm)],[zip_derived_cl13,zip_derived_cl49]) ).

thf(zip_derived_cl63,plain,
    ( ( '#sk1' @ '#sk4' )
    | ( ( $true
        & ( '#sk2' @ '#sk4' ) )
     != ( '#sk2' @ '#sk4' ) ) ),
    inference(simplify,[status(thm)],[zip_derived_cl53]) ).

thf(zip_derived_cl64,plain,
    ( ( '#sk1' @ '#sk4' )
    | ( ( '#sk2' @ '#sk4' )
     != ( '#sk2' @ '#sk4' ) ) ),
    inference('simplify boolean subterms',[status(thm)],[zip_derived_cl63]) ).

thf(zip_derived_cl65,plain,
    '#sk1' @ '#sk4',
    inference(simplify,[status(thm)],[zip_derived_cl64]) ).

thf(zip_derived_cl65_005,plain,
    '#sk1' @ '#sk4',
    inference(simplify,[status(thm)],[zip_derived_cl64]) ).

thf(zip_derived_cl65_006,plain,
    '#sk1' @ '#sk4',
    inference(simplify,[status(thm)],[zip_derived_cl64]) ).

thf(zip_derived_cl65_007,plain,
    '#sk1' @ '#sk4',
    inference(simplify,[status(thm)],[zip_derived_cl64]) ).

thf(zip_derived_cl69,plain,
    ( ( ( $true
        & ( '#sk3' @ '#sk4' ) )
      | ( ( '#sk3' @ '#sk4' )
        & ( '#sk2' @ '#sk4' ) )
      | ( ( '#sk2' @ '#sk4' )
        & $true ) )
   != ( ( $true
        | ( '#sk3' @ '#sk4' ) )
      & ( ( '#sk3' @ '#sk4' )
        | ( '#sk2' @ '#sk4' ) )
      & ( ( '#sk2' @ '#sk4' )
        | $true ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl5,zip_derived_cl65,zip_derived_cl65,zip_derived_cl65,zip_derived_cl65]) ).

thf(zip_derived_cl70,plain,
    ( ( ( '#sk3' @ '#sk4' )
      | ( ( '#sk3' @ '#sk4' )
        & ( '#sk2' @ '#sk4' ) )
      | ( '#sk2' @ '#sk4' ) )
   != ( ( '#sk3' @ '#sk4' )
      | ( '#sk2' @ '#sk4' ) ) ),
    inference('simplify boolean subterms',[status(thm)],[zip_derived_cl69]) ).

thf(zip_derived_cl13_008,plain,
    ( ( '#sk3' @ '#sk4' )
    | ( '#sk1' @ '#sk4' ) ),
    inference('simplify boolean subterms',[status(thm)],[zip_derived_cl12]) ).

thf(zip_derived_cl5_009,plain,
    ( ( ( ( '#sk1' @ '#sk4' )
        & ( '#sk3' @ '#sk4' ) )
      | ( ( '#sk3' @ '#sk4' )
        & ( '#sk2' @ '#sk4' ) )
      | ( ( '#sk2' @ '#sk4' )
        & ( '#sk1' @ '#sk4' ) ) )
   != ( ( ( '#sk1' @ '#sk4' )
        | ( '#sk3' @ '#sk4' ) )
      & ( ( '#sk3' @ '#sk4' )
        | ( '#sk2' @ '#sk4' ) )
      & ( ( '#sk2' @ '#sk4' )
        | ( '#sk1' @ '#sk4' ) ) ) ),
    inference(neg_ext,[status(thm)],[zip_derived_cl4]) ).

thf(zip_derived_cl14,plain,
    ( ( ( ( $true
          & ( '#sk3' @ '#sk4' ) )
        | ( ( '#sk3' @ '#sk4' )
          & ( '#sk2' @ '#sk4' ) )
        | ( ( '#sk2' @ '#sk4' )
          & ( '#sk1' @ '#sk4' ) ) )
     != ( ( ( '#sk1' @ '#sk4' )
          | ( '#sk3' @ '#sk4' ) )
        & ( ( '#sk3' @ '#sk4' )
          | ( '#sk2' @ '#sk4' ) )
        & ( ( '#sk2' @ '#sk4' )
          | ( '#sk1' @ '#sk4' ) ) ) )
    | ( '#sk3' @ '#sk4' ) ),
    inference('sup-',[status(thm)],[zip_derived_cl13,zip_derived_cl5]) ).

thf(zip_derived_cl18,plain,
    ( ( ( ( '#sk3' @ '#sk4' )
        | ( ( '#sk3' @ '#sk4' )
          & ( '#sk2' @ '#sk4' ) )
        | ( ( '#sk2' @ '#sk4' )
          & ( '#sk1' @ '#sk4' ) ) )
     != ( ( ( '#sk1' @ '#sk4' )
          | ( '#sk3' @ '#sk4' ) )
        & ( ( '#sk3' @ '#sk4' )
          | ( '#sk2' @ '#sk4' ) )
        & ( ( '#sk2' @ '#sk4' )
          | ( '#sk1' @ '#sk4' ) ) ) )
    | ( '#sk3' @ '#sk4' ) ),
    inference('simplify boolean subterms',[status(thm)],[zip_derived_cl14]) ).

thf(zip_derived_cl19,plain,
    ( ( ( $false
        | ( $false
          & ( '#sk2' @ '#sk4' ) )
        | ( ( '#sk2' @ '#sk4' )
          & ( '#sk1' @ '#sk4' ) ) )
     != ( ( ( '#sk1' @ '#sk4' )
          | $false )
        & ( $false
          | ( '#sk2' @ '#sk4' ) )
        & ( ( '#sk2' @ '#sk4' )
          | ( '#sk1' @ '#sk4' ) ) ) )
    | ( '#sk3' @ '#sk4' ) ),
    inference(local_rewriting,[status(thm)],[zip_derived_cl18]) ).

thf(zip_derived_cl20,plain,
    ( ( ( ( '#sk2' @ '#sk4' )
        & ( '#sk1' @ '#sk4' ) )
     != ( ( '#sk1' @ '#sk4' )
        & ( '#sk2' @ '#sk4' )
        & ( ( '#sk2' @ '#sk4' )
          | ( '#sk1' @ '#sk4' ) ) ) )
    | ( '#sk3' @ '#sk4' ) ),
    inference('simplify boolean subterms',[status(thm)],[zip_derived_cl19]) ).

thf(zip_derived_cl65_010,plain,
    '#sk1' @ '#sk4',
    inference(simplify,[status(thm)],[zip_derived_cl64]) ).

thf(zip_derived_cl65_011,plain,
    '#sk1' @ '#sk4',
    inference(simplify,[status(thm)],[zip_derived_cl64]) ).

thf(zip_derived_cl65_012,plain,
    '#sk1' @ '#sk4',
    inference(simplify,[status(thm)],[zip_derived_cl64]) ).

thf(zip_derived_cl74,plain,
    ( ( ( ( '#sk2' @ '#sk4' )
        & $true )
     != ( $true
        & ( '#sk2' @ '#sk4' )
        & ( ( '#sk2' @ '#sk4' )
          | $true ) ) )
    | ( '#sk3' @ '#sk4' ) ),
    inference(demod,[status(thm)],[zip_derived_cl20,zip_derived_cl65,zip_derived_cl65,zip_derived_cl65]) ).

thf(zip_derived_cl75,plain,
    ( ( ( '#sk2' @ '#sk4' )
     != ( '#sk2' @ '#sk4' ) )
    | ( '#sk3' @ '#sk4' ) ),
    inference('simplify boolean subterms',[status(thm)],[zip_derived_cl74]) ).

thf(zip_derived_cl76,plain,
    '#sk3' @ '#sk4',
    inference(simplify,[status(thm)],[zip_derived_cl75]) ).

thf(zip_derived_cl76_013,plain,
    '#sk3' @ '#sk4',
    inference(simplify,[status(thm)],[zip_derived_cl75]) ).

thf(zip_derived_cl9_014,plain,
    ( ( '#sk1' @ '#sk4' )
    | ( ( ( '#sk3' @ '#sk4' )
        & ( '#sk2' @ '#sk4' ) )
     != ( ( '#sk3' @ '#sk4' )
        & ( ( '#sk3' @ '#sk4' )
          | ( '#sk2' @ '#sk4' ) )
        & ( '#sk2' @ '#sk4' ) ) ) ),
    inference('simplify boolean subterms',[status(thm)],[zip_derived_cl8]) ).

thf(zip_derived_cl10,plain,
    ( ( ( '#sk3' @ '#sk4' )
      & ( '#sk2' @ '#sk4' ) )
    | ( ( '#sk3' @ '#sk4' )
      & ( ( '#sk3' @ '#sk4' )
        | ( '#sk2' @ '#sk4' ) )
      & ( '#sk2' @ '#sk4' ) )
    | ( '#sk1' @ '#sk4' ) ),
    inference(eq_elim,[status(thm)],[zip_derived_cl9]) ).

thf(zip_derived_cl29,plain,
    ( ( '#sk2' @ '#sk4' )
    | ( '#sk1' @ '#sk4' )
    | ( ( '#sk3' @ '#sk4' )
      & ( ( '#sk3' @ '#sk4' )
        | ( '#sk2' @ '#sk4' ) )
      & ( '#sk2' @ '#sk4' ) ) ),
    inference(lazy_cnf_and,[status(thm)],[zip_derived_cl10]) ).

thf(zip_derived_cl32,plain,
    ( ( '#sk2' @ '#sk4' )
    | ( '#sk1' @ '#sk4' )
    | ( ( '#sk3' @ '#sk4' )
      & ( ( '#sk3' @ '#sk4' )
        | $false )
      & $false ) ),
    inference(local_rewriting,[status(thm)],[zip_derived_cl29]) ).

thf(zip_derived_cl33,plain,
    ( ( '#sk2' @ '#sk4' )
    | ( '#sk1' @ '#sk4' ) ),
    inference('simplify boolean subterms',[status(thm)],[zip_derived_cl32]) ).

thf(zip_derived_cl5_015,plain,
    ( ( ( ( '#sk1' @ '#sk4' )
        & ( '#sk3' @ '#sk4' ) )
      | ( ( '#sk3' @ '#sk4' )
        & ( '#sk2' @ '#sk4' ) )
      | ( ( '#sk2' @ '#sk4' )
        & ( '#sk1' @ '#sk4' ) ) )
   != ( ( ( '#sk1' @ '#sk4' )
        | ( '#sk3' @ '#sk4' ) )
      & ( ( '#sk3' @ '#sk4' )
        | ( '#sk2' @ '#sk4' ) )
      & ( ( '#sk2' @ '#sk4' )
        | ( '#sk1' @ '#sk4' ) ) ) ),
    inference(neg_ext,[status(thm)],[zip_derived_cl4]) ).

thf(zip_derived_cl34,plain,
    ( ( ( ( $true
          & ( '#sk3' @ '#sk4' ) )
        | ( ( '#sk3' @ '#sk4' )
          & ( '#sk2' @ '#sk4' ) )
        | ( ( '#sk2' @ '#sk4' )
          & ( '#sk1' @ '#sk4' ) ) )
     != ( ( ( '#sk1' @ '#sk4' )
          | ( '#sk3' @ '#sk4' ) )
        & ( ( '#sk3' @ '#sk4' )
          | ( '#sk2' @ '#sk4' ) )
        & ( ( '#sk2' @ '#sk4' )
          | ( '#sk1' @ '#sk4' ) ) ) )
    | ( '#sk2' @ '#sk4' ) ),
    inference('sup-',[status(thm)],[zip_derived_cl33,zip_derived_cl5]) ).

thf(zip_derived_cl36,plain,
    ( ( ( ( '#sk3' @ '#sk4' )
        | ( ( '#sk3' @ '#sk4' )
          & ( '#sk2' @ '#sk4' ) )
        | ( ( '#sk2' @ '#sk4' )
          & ( '#sk1' @ '#sk4' ) ) )
     != ( ( ( '#sk1' @ '#sk4' )
          | ( '#sk3' @ '#sk4' ) )
        & ( ( '#sk3' @ '#sk4' )
          | ( '#sk2' @ '#sk4' ) )
        & ( ( '#sk2' @ '#sk4' )
          | ( '#sk1' @ '#sk4' ) ) ) )
    | ( '#sk2' @ '#sk4' ) ),
    inference('simplify boolean subterms',[status(thm)],[zip_derived_cl34]) ).

thf(zip_derived_cl37,plain,
    ( ( ( ( '#sk3' @ '#sk4' )
        | ( ( '#sk3' @ '#sk4' )
          & $false )
        | ( $false
          & ( '#sk1' @ '#sk4' ) ) )
     != ( ( ( '#sk1' @ '#sk4' )
          | ( '#sk3' @ '#sk4' ) )
        & ( ( '#sk3' @ '#sk4' )
          | $false )
        & ( $false
          | ( '#sk1' @ '#sk4' ) ) ) )
    | ( '#sk2' @ '#sk4' ) ),
    inference(local_rewriting,[status(thm)],[zip_derived_cl36]) ).

thf(zip_derived_cl38,plain,
    ( ( ( '#sk3' @ '#sk4' )
     != ( ( ( '#sk1' @ '#sk4' )
          | ( '#sk3' @ '#sk4' ) )
        & ( '#sk3' @ '#sk4' )
        & ( '#sk1' @ '#sk4' ) ) )
    | ( '#sk2' @ '#sk4' ) ),
    inference('simplify boolean subterms',[status(thm)],[zip_derived_cl37]) ).

thf(zip_derived_cl76_016,plain,
    '#sk3' @ '#sk4',
    inference(simplify,[status(thm)],[zip_derived_cl75]) ).

thf(zip_derived_cl65_017,plain,
    '#sk1' @ '#sk4',
    inference(simplify,[status(thm)],[zip_derived_cl64]) ).

thf(zip_derived_cl76_018,plain,
    '#sk3' @ '#sk4',
    inference(simplify,[status(thm)],[zip_derived_cl75]) ).

thf(zip_derived_cl76_019,plain,
    '#sk3' @ '#sk4',
    inference(simplify,[status(thm)],[zip_derived_cl75]) ).

thf(zip_derived_cl65_020,plain,
    '#sk1' @ '#sk4',
    inference(simplify,[status(thm)],[zip_derived_cl64]) ).

thf(zip_derived_cl82,plain,
    ( ~ ( ( $true
          | $true )
        & $true
        & $true )
    | ( '#sk2' @ '#sk4' ) ),
    inference(demod,[status(thm)],[zip_derived_cl38,zip_derived_cl76,zip_derived_cl65,zip_derived_cl76,zip_derived_cl76,zip_derived_cl65]) ).

thf(zip_derived_cl83,plain,
    '#sk2' @ '#sk4',
    inference('simplify boolean subterms',[status(thm)],[zip_derived_cl82]) ).

thf(zip_derived_cl83_021,plain,
    '#sk2' @ '#sk4',
    inference('simplify boolean subterms',[status(thm)],[zip_derived_cl82]) ).

thf(zip_derived_cl76_022,plain,
    '#sk3' @ '#sk4',
    inference(simplify,[status(thm)],[zip_derived_cl75]) ).

thf(zip_derived_cl83_023,plain,
    '#sk2' @ '#sk4',
    inference('simplify boolean subterms',[status(thm)],[zip_derived_cl82]) ).

thf(zip_derived_cl88,plain,
    ( ( $true
      | ( $true
        & $true )
      | $true )
   != ( $true
      | $true ) ),
    inference(demod,[status(thm)],[zip_derived_cl70,zip_derived_cl76,zip_derived_cl76,zip_derived_cl83,zip_derived_cl83,zip_derived_cl76,zip_derived_cl83]) ).

thf(zip_derived_cl89,plain,
    $false,
    inference('simplify boolean subterms',[status(thm)],[zip_derived_cl88]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.10  % Problem  : SET601^5 : TPTP v9.2.0. Released v4.0.0.
% 0.10/0.11  % Command  : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.UQbQMYEZ1F true
% 0.10/0.32  % Computer : n025.cluster.edu
% 0.10/0.32  % Model    : x86_64 x86_64
% 0.10/0.32  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.32  % Memory   : 8042.1875MB
% 0.10/0.32  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.10/0.32  % CPULimit : 300
% 0.10/0.32  % WCLimit  : 300
% 0.10/0.32  % DateTime : Wed Oct  1 13:17:38 EDT 2025
% 0.16/0.32  % CPUTime  : 
% 0.16/0.32  % Running portfolio for 300 s
% 0.16/0.32  % File         : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.16/0.32  % Number of cores: 8
% 0.16/0.32  % Python version: Python 3.6.8
% 0.16/0.32  % Running in HO mode
% 0.57/0.59  % Total configuration time : 828
% 0.57/0.60  % Estimated wc time : 1656
% 0.57/0.60  % Estimated cpu time (8 cpus) : 207.0
% 0.93/0.68  % /export/starexec/sandbox/solver/bin/lams/35_full_unif4.sh running for 80s
% 0.93/0.68  % /export/starexec/sandbox/solver/bin/lams/40_c.s.sh running for 80s
% 0.93/0.68  % /export/starexec/sandbox/solver/bin/lams/40_c_ic.sh running for 80s
% 0.93/0.68  % /export/starexec/sandbox/solver/bin/lams/15_e_short1.sh running for 30s
% 0.93/0.68  % /export/starexec/sandbox/solver/bin/lams/40_noforms.sh running for 90s
% 0.93/0.69  % /export/starexec/sandbox/solver/bin/lams/40_b.comb.sh running for 70s
% 0.93/0.69  % /export/starexec/sandbox/solver/bin/lams/20_acsne_simpl.sh running for 40s
% 1.36/0.73  % /export/starexec/sandbox/solver/bin/lams/30_sp5.sh running for 60s
% 1.36/0.74  % Solved by lams/35_full_unif4.sh.
% 1.36/0.74  % done 18 iterations in 0.025s
% 1.36/0.74  % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 1.36/0.74  % SZS output start Refutation
% See solution above
% 1.36/0.74  
% 1.36/0.74  
% 1.36/0.74  % Terminating...
% 1.68/0.80  % Runner terminated.
% 1.68/0.81  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------