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Zipperpin---2.1.9999.THM-Ref.s

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%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : SEU751^2 : TPTP v9.2.0. Released v3.7.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.wqmN4xKNLB 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 Oct  2 04:56:07 PM UTC 2025

% Result   : Theorem 0.57s 0.80s
% Output   : Refutation 0.57s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   13
%            Number of leaves      :   14
% Syntax   : Number of formulae    :   57 (  32 unt;   0 typ;   0 def)
%            Number of atoms       :  216 (  12 equ;   0 cnn)
%            Maximal formula atoms :   26 (   3 avg)
%            Number of connectives :  799 (  75   ~;  45   |;   0   &; 589   @)
%                                         (   0 <=>;  90  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   21 (   6 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :    0 (   0   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   17 (  15 usr;  11 con; 0-2 aty)
%            Number of variables   :  126 (   0   ^; 126   !;   0   ?; 126   :)

% Comments : 
%------------------------------------------------------------------------------
thf(complementT_lem_type,type,
    complementT_lem: $o ).

thf(binintersectI_type,type,
    binintersectI: $o ).

thf(in_type,type,
    in: $i > $i > $o ).

thf(setminus_type,type,
    setminus: $i > $i > $i ).

thf(complementTE1_type,type,
    complementTE1: $o ).

thf(sk__19_type,type,
    sk__19: $i ).

thf(binunion_type,type,
    binunion: $i > $i > $i ).

thf(sk__20_type,type,
    sk__20: $i ).

thf(setminusER_type,type,
    setminusER: $o ).

thf(sk__22_type,type,
    sk__22: $i ).

thf(binintersect_type,type,
    binintersect: $i > $i > $i ).

thf(powerset_type,type,
    powerset: $i > $i ).

thf(binunionTILcontra_type,type,
    binunionTILcontra: $o ).

thf(sk__21_type,type,
    sk__21: $i ).

thf(binunionTIRcontra_type,type,
    binunionTIRcontra: $o ).

thf(binunionTIRcontra,axiom,
    ( binunionTIRcontra
    = ( ! [A: $i,X: $i] :
          ( ( in @ X @ ( powerset @ A ) )
         => ! [Y: $i] :
              ( ( in @ Y @ ( powerset @ A ) )
             => ! [Xx: $i] :
                  ( ( in @ Xx @ A )
                 => ( ~ ( in @ Xx @ ( binunion @ X @ Y ) )
                   => ~ ( in @ Xx @ Y ) ) ) ) ) ) ) ).

thf('0',plain,
    ( binunionTIRcontra
    = ( ! [X4: $i,X6: $i] :
          ( ( in @ X6 @ ( powerset @ X4 ) )
         => ! [X8: $i] :
              ( ( in @ X8 @ ( powerset @ X4 ) )
             => ! [X10: $i] :
                  ( ( in @ X10 @ X4 )
                 => ( ~ ( in @ X10 @ ( binunion @ X6 @ X8 ) )
                   => ~ ( in @ X10 @ X8 ) ) ) ) ) ) ),
    define([status(thm)]) ).

thf(binunionTILcontra,axiom,
    ( binunionTILcontra
    = ( ! [A: $i,X: $i] :
          ( ( in @ X @ ( powerset @ A ) )
         => ! [Y: $i] :
              ( ( in @ Y @ ( powerset @ A ) )
             => ! [Xx: $i] :
                  ( ( in @ Xx @ A )
                 => ( ~ ( in @ Xx @ ( binunion @ X @ Y ) )
                   => ~ ( in @ Xx @ X ) ) ) ) ) ) ) ).

thf('1',plain,
    ( binunionTILcontra
    = ( ! [X4: $i,X6: $i] :
          ( ( in @ X6 @ ( powerset @ X4 ) )
         => ! [X8: $i] :
              ( ( in @ X8 @ ( powerset @ X4 ) )
             => ! [X10: $i] :
                  ( ( in @ X10 @ X4 )
                 => ( ~ ( in @ X10 @ ( binunion @ X6 @ X8 ) )
                   => ~ ( in @ X10 @ X6 ) ) ) ) ) ) ),
    define([status(thm)]) ).

thf(complementTE1,axiom,
    ( complementTE1
    = ( ! [A: $i,X: $i] :
          ( ( in @ X @ ( powerset @ A ) )
         => ! [Xx: $i] :
              ( ( in @ Xx @ A )
             => ( ~ ( in @ Xx @ ( setminus @ A @ X ) )
               => ( in @ Xx @ X ) ) ) ) ) ) ).

thf('2',plain,
    ( complementTE1
    = ( ! [X4: $i,X6: $i] :
          ( ( in @ X6 @ ( powerset @ X4 ) )
         => ! [X8: $i] :
              ( ( in @ X8 @ X4 )
             => ( ~ ( in @ X8 @ ( setminus @ X4 @ X6 ) )
               => ( in @ X8 @ X6 ) ) ) ) ) ),
    define([status(thm)]) ).

thf(complementT_lem,axiom,
    ( complementT_lem
    = ( ! [A: $i,X: $i] :
          ( ( in @ X @ ( powerset @ A ) )
         => ( in @ ( setminus @ A @ X ) @ ( powerset @ A ) ) ) ) ) ).

thf('3',plain,
    ( complementT_lem
    = ( ! [X4: $i,X6: $i] :
          ( ( in @ X6 @ ( powerset @ X4 ) )
         => ( in @ ( setminus @ X4 @ X6 ) @ ( powerset @ X4 ) ) ) ) ),
    define([status(thm)]) ).

thf(setminusER,axiom,
    ( setminusER
    = ( ! [A: $i,B: $i,Xx: $i] :
          ( ( in @ Xx @ ( setminus @ A @ B ) )
         => ~ ( in @ Xx @ B ) ) ) ) ).

thf('4',plain,
    ( setminusER
    = ( ! [X4: $i,X6: $i,X8: $i] :
          ( ( in @ X8 @ ( setminus @ X4 @ X6 ) )
         => ~ ( in @ X8 @ X6 ) ) ) ),
    define([status(thm)]) ).

thf(binintersectI,axiom,
    ( binintersectI
    = ( ! [A: $i,B: $i,Xx: $i] :
          ( ( in @ Xx @ A )
         => ( ( in @ Xx @ B )
           => ( in @ Xx @ ( binintersect @ A @ B ) ) ) ) ) ) ).

thf('5',plain,
    ( binintersectI
    = ( ! [X4: $i,X6: $i,X8: $i] :
          ( ( in @ X8 @ X4 )
         => ( ( in @ X8 @ X6 )
           => ( in @ X8 @ ( binintersect @ X4 @ X6 ) ) ) ) ) ),
    define([status(thm)]) ).

thf(demorgan1a,conjecture,
    ( binintersectI
   => ( setminusER
     => ( complementT_lem
       => ( complementTE1
         => ( binunionTILcontra
           => ( binunionTIRcontra
             => ! [A: $i,X: $i] :
                  ( ( in @ X @ ( powerset @ A ) )
                 => ! [Y: $i] :
                      ( ( in @ Y @ ( powerset @ A ) )
                     => ! [Xx: $i] :
                          ( ( in @ Xx @ A )
                         => ( ( in @ Xx @ ( setminus @ A @ ( binintersect @ X @ Y ) ) )
                           => ( in @ Xx @ ( binunion @ ( setminus @ A @ X ) @ ( setminus @ A @ Y ) ) ) ) ) ) ) ) ) ) ) ) ) ).

thf(zf_stmt_0,conjecture,
    ( ! [X4: $i,X6: $i,X8: $i] :
        ( ( in @ X8 @ X4 )
       => ( ( in @ X8 @ X6 )
         => ( in @ X8 @ ( binintersect @ X4 @ X6 ) ) ) )
   => ( ! [X10: $i,X12: $i,X14: $i] :
          ( ( in @ X14 @ ( setminus @ X10 @ X12 ) )
         => ~ ( in @ X14 @ X12 ) )
     => ( ! [X16: $i,X18: $i] :
            ( ( in @ X18 @ ( powerset @ X16 ) )
           => ( in @ ( setminus @ X16 @ X18 ) @ ( powerset @ X16 ) ) )
       => ( ! [X20: $i,X22: $i] :
              ( ( in @ X22 @ ( powerset @ X20 ) )
             => ! [X24: $i] :
                  ( ( in @ X24 @ X20 )
                 => ( ~ ( in @ X24 @ ( setminus @ X20 @ X22 ) )
                   => ( in @ X24 @ X22 ) ) ) )
         => ( ! [X26: $i,X28: $i] :
                ( ( in @ X28 @ ( powerset @ X26 ) )
               => ! [X30: $i] :
                    ( ( in @ X30 @ ( powerset @ X26 ) )
                   => ! [X32: $i] :
                        ( ( in @ X32 @ X26 )
                       => ( ~ ( in @ X32 @ ( binunion @ X28 @ X30 ) )
                         => ~ ( in @ X32 @ X28 ) ) ) ) )
           => ( ! [X34: $i,X36: $i] :
                  ( ( in @ X36 @ ( powerset @ X34 ) )
                 => ! [X38: $i] :
                      ( ( in @ X38 @ ( powerset @ X34 ) )
                     => ! [X40: $i] :
                          ( ( in @ X40 @ X34 )
                         => ( ~ ( in @ X40 @ ( binunion @ X36 @ X38 ) )
                           => ~ ( in @ X40 @ X38 ) ) ) ) )
             => ! [X42: $i,X44: $i] :
                  ( ( in @ X44 @ ( powerset @ X42 ) )
                 => ! [X46: $i] :
                      ( ( in @ X46 @ ( powerset @ X42 ) )
                     => ! [X48: $i] :
                          ( ( in @ X48 @ X42 )
                         => ( ( in @ X48 @ ( setminus @ X42 @ ( binintersect @ X44 @ X46 ) ) )
                           => ( in @ X48 @ ( binunion @ ( setminus @ X42 @ X44 ) @ ( setminus @ X42 @ X46 ) ) ) ) ) ) ) ) ) ) ) ) ) ).

thf(zf_stmt_1,negated_conjecture,
    ~ ( ! [X4: $i,X6: $i,X8: $i] :
          ( ( in @ X8 @ X4 )
         => ( ( in @ X8 @ X6 )
           => ( in @ X8 @ ( binintersect @ X4 @ X6 ) ) ) )
     => ( ! [X10: $i,X12: $i,X14: $i] :
            ( ( in @ X14 @ ( setminus @ X10 @ X12 ) )
           => ~ ( in @ X14 @ X12 ) )
       => ( ! [X16: $i,X18: $i] :
              ( ( in @ X18 @ ( powerset @ X16 ) )
             => ( in @ ( setminus @ X16 @ X18 ) @ ( powerset @ X16 ) ) )
         => ( ! [X20: $i,X22: $i] :
                ( ( in @ X22 @ ( powerset @ X20 ) )
               => ! [X24: $i] :
                    ( ( in @ X24 @ X20 )
                   => ( ~ ( in @ X24 @ ( setminus @ X20 @ X22 ) )
                     => ( in @ X24 @ X22 ) ) ) )
           => ( ! [X26: $i,X28: $i] :
                  ( ( in @ X28 @ ( powerset @ X26 ) )
                 => ! [X30: $i] :
                      ( ( in @ X30 @ ( powerset @ X26 ) )
                     => ! [X32: $i] :
                          ( ( in @ X32 @ X26 )
                         => ( ~ ( in @ X32 @ ( binunion @ X28 @ X30 ) )
                           => ~ ( in @ X32 @ X28 ) ) ) ) )
             => ( ! [X34: $i,X36: $i] :
                    ( ( in @ X36 @ ( powerset @ X34 ) )
                   => ! [X38: $i] :
                        ( ( in @ X38 @ ( powerset @ X34 ) )
                       => ! [X40: $i] :
                            ( ( in @ X40 @ X34 )
                           => ( ~ ( in @ X40 @ ( binunion @ X36 @ X38 ) )
                             => ~ ( in @ X40 @ X38 ) ) ) ) )
               => ! [X42: $i,X44: $i] :
                    ( ( in @ X44 @ ( powerset @ X42 ) )
                   => ! [X46: $i] :
                        ( ( in @ X46 @ ( powerset @ X42 ) )
                       => ! [X48: $i] :
                            ( ( in @ X48 @ X42 )
                           => ( ( in @ X48 @ ( setminus @ X42 @ ( binintersect @ X44 @ X46 ) ) )
                             => ( in @ X48 @ ( binunion @ ( setminus @ X42 @ X44 ) @ ( setminus @ X42 @ X46 ) ) ) ) ) ) ) ) ) ) ) ) ),
    inference('cnf.neg',[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl1,plain,
    ! [X3: $i,X4: $i] :
      ( ( in @ ( setminus @ X3 @ X4 ) @ ( powerset @ X3 ) )
      | ~ ( in @ X4 @ ( powerset @ X3 ) ) ),
    inference(cnf,[status(esa)],[zf_stmt_1]) ).

thf(zip_derived_cl1_001,plain,
    ! [X3: $i,X4: $i] :
      ( ( in @ ( setminus @ X3 @ X4 ) @ ( powerset @ X3 ) )
      | ~ ( in @ X4 @ ( powerset @ X3 ) ) ),
    inference(cnf,[status(esa)],[zf_stmt_1]) ).

thf(zip_derived_cl8,plain,
    ! [X9: $i,X10: $i,X11: $i,X12: $i] :
      ( ~ ( in @ X9 @ ( powerset @ X10 ) )
      | ( in @ X11 @ ( binunion @ X12 @ X9 ) )
      | ~ ( in @ X11 @ X9 )
      | ~ ( in @ X11 @ X10 )
      | ~ ( in @ X12 @ ( powerset @ X10 ) ) ),
    inference(cnf,[status(esa)],[zf_stmt_1]) ).

thf(zip_derived_cl45,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( ~ ( in @ X1 @ ( powerset @ X0 ) )
      | ~ ( in @ X2 @ ( powerset @ X0 ) )
      | ~ ( in @ X3 @ X0 )
      | ~ ( in @ X3 @ ( setminus @ X0 @ X1 ) )
      | ( in @ X3 @ ( binunion @ X2 @ ( setminus @ X0 @ X1 ) ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl1,zip_derived_cl8]) ).

thf(zip_derived_cl5,plain,
    ~ ( in @ sk__22 @ ( binunion @ ( setminus @ sk__19 @ sk__20 ) @ ( setminus @ sk__19 @ sk__21 ) ) ),
    inference(cnf,[status(esa)],[zf_stmt_1]) ).

thf(zip_derived_cl83,plain,
    ( ~ ( in @ sk__22 @ ( setminus @ sk__19 @ sk__21 ) )
    | ~ ( in @ sk__22 @ sk__19 )
    | ~ ( in @ ( setminus @ sk__19 @ sk__20 ) @ ( powerset @ sk__19 ) )
    | ~ ( in @ sk__21 @ ( powerset @ sk__19 ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl45,zip_derived_cl5]) ).

thf(zip_derived_cl6,plain,
    in @ sk__22 @ sk__19,
    inference(cnf,[status(esa)],[zf_stmt_1]) ).

thf(zip_derived_cl3,plain,
    in @ sk__21 @ ( powerset @ sk__19 ),
    inference(cnf,[status(esa)],[zf_stmt_1]) ).

thf(zip_derived_cl9,plain,
    ! [X13: $i,X14: $i,X15: $i] :
      ( ~ ( in @ X13 @ X14 )
      | ( in @ X13 @ X15 )
      | ( in @ X13 @ ( setminus @ X14 @ X15 ) )
      | ~ ( in @ X15 @ ( powerset @ X14 ) ) ),
    inference(cnf,[status(esa)],[zf_stmt_1]) ).

thf(zip_derived_cl29,plain,
    ! [X0: $i] :
      ( ( in @ X0 @ ( setminus @ sk__19 @ sk__21 ) )
      | ( in @ X0 @ sk__21 )
      | ~ ( in @ X0 @ sk__19 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl3,zip_derived_cl9]) ).

thf(zip_derived_cl35,plain,
    ( ( in @ sk__22 @ sk__21 )
    | ( in @ sk__22 @ ( setminus @ sk__19 @ sk__21 ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl6,zip_derived_cl29]) ).

thf(zip_derived_cl0,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ~ ( in @ X0 @ X1 )
      | ( in @ X0 @ ( binintersect @ X2 @ X1 ) )
      | ~ ( in @ X0 @ X2 ) ),
    inference(cnf,[status(esa)],[zf_stmt_1]) ).

thf(zip_derived_cl4,plain,
    in @ sk__22 @ ( setminus @ sk__19 @ ( binintersect @ sk__20 @ sk__21 ) ),
    inference(cnf,[status(esa)],[zf_stmt_1]) ).

thf(zip_derived_cl10,plain,
    ! [X16: $i,X17: $i,X18: $i] :
      ( ~ ( in @ X16 @ X17 )
      | ~ ( in @ X16 @ ( setminus @ X18 @ X17 ) ) ),
    inference(cnf,[status(esa)],[zf_stmt_1]) ).

thf(zip_derived_cl11,plain,
    ~ ( in @ sk__22 @ ( binintersect @ sk__20 @ sk__21 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl4,zip_derived_cl10]) ).

thf(zip_derived_cl13,plain,
    ( ~ ( in @ sk__22 @ sk__20 )
    | ~ ( in @ sk__22 @ sk__21 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl0,zip_derived_cl11]) ).

thf(zip_derived_cl1_002,plain,
    ! [X3: $i,X4: $i] :
      ( ( in @ ( setminus @ X3 @ X4 ) @ ( powerset @ X3 ) )
      | ~ ( in @ X4 @ ( powerset @ X3 ) ) ),
    inference(cnf,[status(esa)],[zf_stmt_1]) ).

thf(zip_derived_cl6_003,plain,
    in @ sk__22 @ sk__19,
    inference(cnf,[status(esa)],[zf_stmt_1]) ).

thf(zip_derived_cl7,plain,
    in @ sk__20 @ ( powerset @ sk__19 ),
    inference(cnf,[status(esa)],[zf_stmt_1]) ).

thf(zip_derived_cl9_004,plain,
    ! [X13: $i,X14: $i,X15: $i] :
      ( ~ ( in @ X13 @ X14 )
      | ( in @ X13 @ X15 )
      | ( in @ X13 @ ( setminus @ X14 @ X15 ) )
      | ~ ( in @ X15 @ ( powerset @ X14 ) ) ),
    inference(cnf,[status(esa)],[zf_stmt_1]) ).

thf(zip_derived_cl30,plain,
    ! [X0: $i] :
      ( ( in @ X0 @ ( setminus @ sk__19 @ sk__20 ) )
      | ( in @ X0 @ sk__20 )
      | ~ ( in @ X0 @ sk__19 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl7,zip_derived_cl9]) ).

thf(zip_derived_cl37,plain,
    ( ( in @ sk__22 @ sk__20 )
    | ( in @ sk__22 @ ( setminus @ sk__19 @ sk__20 ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl6,zip_derived_cl30]) ).

thf(zip_derived_cl1_005,plain,
    ! [X3: $i,X4: $i] :
      ( ( in @ ( setminus @ X3 @ X4 ) @ ( powerset @ X3 ) )
      | ~ ( in @ X4 @ ( powerset @ X3 ) ) ),
    inference(cnf,[status(esa)],[zf_stmt_1]) ).

thf(zip_derived_cl2,plain,
    ! [X5: $i,X6: $i,X7: $i,X8: $i] :
      ( ~ ( in @ X5 @ ( powerset @ X6 ) )
      | ( in @ X7 @ ( binunion @ X8 @ X5 ) )
      | ~ ( in @ X7 @ X8 )
      | ~ ( in @ X7 @ X6 )
      | ~ ( in @ X8 @ ( powerset @ X6 ) ) ),
    inference(cnf,[status(esa)],[zf_stmt_1]) ).

thf(zip_derived_cl17,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( ~ ( in @ X1 @ ( powerset @ X0 ) )
      | ~ ( in @ X2 @ ( powerset @ X0 ) )
      | ~ ( in @ X3 @ X0 )
      | ~ ( in @ X3 @ X2 )
      | ( in @ X3 @ ( binunion @ X2 @ ( setminus @ X0 @ X1 ) ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl1,zip_derived_cl2]) ).

thf(zip_derived_cl5_006,plain,
    ~ ( in @ sk__22 @ ( binunion @ ( setminus @ sk__19 @ sk__20 ) @ ( setminus @ sk__19 @ sk__21 ) ) ),
    inference(cnf,[status(esa)],[zf_stmt_1]) ).

thf(zip_derived_cl65,plain,
    ( ~ ( in @ sk__22 @ ( setminus @ sk__19 @ sk__20 ) )
    | ~ ( in @ sk__22 @ sk__19 )
    | ~ ( in @ ( setminus @ sk__19 @ sk__20 ) @ ( powerset @ sk__19 ) )
    | ~ ( in @ sk__21 @ ( powerset @ sk__19 ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl17,zip_derived_cl5]) ).

thf(zip_derived_cl6_007,plain,
    in @ sk__22 @ sk__19,
    inference(cnf,[status(esa)],[zf_stmt_1]) ).

thf(zip_derived_cl3_008,plain,
    in @ sk__21 @ ( powerset @ sk__19 ),
    inference(cnf,[status(esa)],[zf_stmt_1]) ).

thf(zip_derived_cl67,plain,
    ( ~ ( in @ sk__22 @ ( setminus @ sk__19 @ sk__20 ) )
    | ~ ( in @ ( setminus @ sk__19 @ sk__20 ) @ ( powerset @ sk__19 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl65,zip_derived_cl6,zip_derived_cl3]) ).

thf(zip_derived_cl69,plain,
    ( ( in @ sk__22 @ sk__20 )
    | ~ ( in @ ( setminus @ sk__19 @ sk__20 ) @ ( powerset @ sk__19 ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl37,zip_derived_cl67]) ).

thf(zip_derived_cl72,plain,
    ( ~ ( in @ sk__20 @ ( powerset @ sk__19 ) )
    | ( in @ sk__22 @ sk__20 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl1,zip_derived_cl69]) ).

thf(zip_derived_cl7_009,plain,
    in @ sk__20 @ ( powerset @ sk__19 ),
    inference(cnf,[status(esa)],[zf_stmt_1]) ).

thf(zip_derived_cl75,plain,
    in @ sk__22 @ sk__20,
    inference(demod,[status(thm)],[zip_derived_cl72,zip_derived_cl7]) ).

thf(zip_derived_cl79,plain,
    ~ ( in @ sk__22 @ sk__21 ),
    inference(demod,[status(thm)],[zip_derived_cl13,zip_derived_cl75]) ).

thf(zip_derived_cl80,plain,
    in @ sk__22 @ ( setminus @ sk__19 @ sk__21 ),
    inference(demod,[status(thm)],[zip_derived_cl35,zip_derived_cl79]) ).

thf(zip_derived_cl6_010,plain,
    in @ sk__22 @ sk__19,
    inference(cnf,[status(esa)],[zf_stmt_1]) ).

thf(zip_derived_cl3_011,plain,
    in @ sk__21 @ ( powerset @ sk__19 ),
    inference(cnf,[status(esa)],[zf_stmt_1]) ).

thf(zip_derived_cl85,plain,
    ~ ( in @ ( setminus @ sk__19 @ sk__20 ) @ ( powerset @ sk__19 ) ),
    inference(demod,[status(thm)],[zip_derived_cl83,zip_derived_cl80,zip_derived_cl6,zip_derived_cl3]) ).

thf(zip_derived_cl87,plain,
    ~ ( in @ sk__20 @ ( powerset @ sk__19 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl1,zip_derived_cl85]) ).

thf(zip_derived_cl7_012,plain,
    in @ sk__20 @ ( powerset @ sk__19 ),
    inference(cnf,[status(esa)],[zf_stmt_1]) ).

thf(zip_derived_cl89,plain,
    $false,
    inference(demod,[status(thm)],[zip_derived_cl87,zip_derived_cl7]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.13  % Problem  : SEU751^2 : TPTP v9.2.0. Released v3.7.0.
% 0.03/0.14  % Command  : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.wqmN4xKNLB true
% 0.15/0.35  % Computer : n028.cluster.edu
% 0.15/0.35  % Model    : x86_64 x86_64
% 0.15/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.35  % Memory   : 8042.1875MB
% 0.15/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.15/0.35  % CPULimit : 300
% 0.15/0.35  % WCLimit  : 300
% 0.15/0.35  % DateTime : Wed Oct  1 16:09:23 EDT 2025
% 0.15/0.35  % CPUTime  : 
% 0.15/0.35  % Running portfolio for 300 s
% 0.15/0.35  % File         : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.15/0.36  % Number of cores: 8
% 0.15/0.36  % Python version: Python 3.6.8
% 0.15/0.36  % Running in HO mode
% 0.57/0.66  % Total configuration time : 828
% 0.57/0.66  % Estimated wc time : 1656
% 0.57/0.66  % Estimated cpu time (8 cpus) : 207.0
% 0.57/0.72  % /export/starexec/sandbox/solver/bin/lams/40_c.s.sh running for 80s
% 0.57/0.73  % /export/starexec/sandbox/solver/bin/lams/35_full_unif4.sh running for 80s
% 0.57/0.77  % /export/starexec/sandbox/solver/bin/lams/40_c_ic.sh running for 80s
% 0.57/0.77  % /export/starexec/sandbox/solver/bin/lams/15_e_short1.sh running for 30s
% 0.57/0.78  % /export/starexec/sandbox/solver/bin/lams/40_noforms.sh running for 90s
% 0.57/0.78  % /export/starexec/sandbox/solver/bin/lams/40_b.comb.sh running for 70s
% 0.57/0.78  % /export/starexec/sandbox/solver/bin/lams/20_acsne_simpl.sh running for 40s
% 0.57/0.79  % /export/starexec/sandbox/solver/bin/lams/30_sp5.sh running for 60s
% 0.57/0.80  % Solved by lams/40_c.s.sh.
% 0.57/0.80  % done 65 iterations in 0.047s
% 0.57/0.80  % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 0.57/0.80  % SZS output start Refutation
% See solution above
% 0.57/0.80  
% 0.57/0.80  
% 0.57/0.80  % Terminating...
% 1.92/0.87  % Runner terminated.
% 1.92/0.88  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------