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Zipperpin---2.1.9999.THM-Ref.s

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%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : SEU593^2 : 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.cs1bmamjR3 true

% Computer : n008.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 04:55:14 PM UTC 2025

% Result   : Theorem 0.58s 0.96s
% Output   : Refutation 0.58s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   14
%            Number of leaves      :   14
% Syntax   : Number of formulae    :   60 (  19 unt;   0 typ;   0 def)
%            Number of atoms       :  221 (  27 equ;   0 cnn)
%            Maximal formula atoms :   17 (   3 avg)
%            Number of connectives :  625 (  28   ~;  43   |;   0   &; 504   @)
%                                         (   0 <=>;  50  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   16 (   7 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :    0 (   0   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   14 (  12 usr;   8 con; 0-2 aty)
%            Number of variables   :  187 (  54   ^; 133   !;   0   ?; 187   :)

% Comments : 
%------------------------------------------------------------------------------
thf(sk__13_type,type,
    sk__13: $i ).

thf(setextsub_type,type,
    setextsub: $o ).

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

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

thf(subset_type,type,
    subset: $i > $i > $o ).

thf(subsetE_type,type,
    subsetE: $o ).

thf(sk__15_type,type,
    sk__15: $i > $i > $i ).

thf(subsetI1_type,type,
    subsetI1: $o ).

thf(binintersectLsub_type,type,
    binintersectLsub: $o ).

thf(dsetconstr_type,type,
    dsetconstr: $i > ( $i > $o ) > $i ).

thf(sk__14_type,type,
    sk__14: $i ).

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

thf(binintersectLsub,axiom,
    ( binintersectLsub
    = ( ! [A: $i,B: $i] : ( subset @ ( binintersect @ A @ B ) @ A ) ) ) ).

thf('0',plain,
    ( binintersectLsub
    = ( ! [X4: $i,X6: $i] : ( subset @ ( binintersect @ X4 @ X6 ) @ X4 ) ) ),
    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('1',plain,
    ( binintersectI
    = ( ! [X4: $i,X6: $i,X8: $i] :
          ( ( in @ X8 @ X4 )
         => ( ( in @ X8 @ X6 )
           => ( in @ X8 @ ( binintersect @ X4 @ X6 ) ) ) ) ) ),
    define([status(thm)]) ).

thf(binintersect,axiom,
    ( binintersect
    = ( ^ [A: $i,B: $i] :
          ( dsetconstr @ A
          @ ^ [Xx: $i] : ( in @ Xx @ B ) ) ) ) ).

thf('2',plain,
    ( binintersect
    = ( ^ [A: $i,B: $i] :
          ( dsetconstr @ A
          @ ^ [Xx: $i] : ( in @ Xx @ B ) ) ) ),
    inference(simplify_rw_rule,[status(thm)],[binintersect]) ).

thf('3',plain,
    ( binintersect
    = ( ^ [V_1: $i,V_2: $i] :
          ( dsetconstr @ V_1
          @ ^ [V_3: $i] : ( in @ V_3 @ V_2 ) ) ) ),
    define([status(thm)]) ).

thf(setextsub,axiom,
    ( setextsub
    = ( ! [A: $i,B: $i] :
          ( ( subset @ A @ B )
         => ( ( subset @ B @ A )
           => ( A = B ) ) ) ) ) ).

thf('4',plain,
    ( setextsub
    = ( ! [X4: $i,X6: $i] :
          ( ( subset @ X4 @ X6 )
         => ( ( subset @ X6 @ X4 )
           => ( X4 = X6 ) ) ) ) ),
    define([status(thm)]) ).

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

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

thf(subsetI1,axiom,
    ( subsetI1
    = ( ! [A: $i,B: $i] :
          ( ! [Xx: $i] :
              ( ( in @ Xx @ A )
             => ( in @ Xx @ B ) )
         => ( subset @ A @ B ) ) ) ) ).

thf('6',plain,
    ( subsetI1
    = ( ! [X4: $i,X6: $i] :
          ( ! [X8: $i] :
              ( ( in @ X8 @ X4 )
             => ( in @ X8 @ X6 ) )
         => ( subset @ X4 @ X6 ) ) ) ),
    define([status(thm)]) ).

thf(binintersectSubset2,conjecture,
    ( subsetI1
   => ( subsetE
     => ( setextsub
       => ( binintersectI
         => ( binintersectLsub
           => ! [A: $i,B: $i] :
                ( ( subset @ A @ B )
               => ( ( binintersect @ A @ B )
                  = A ) ) ) ) ) ) ) ).

thf(zf_stmt_0,conjecture,
    ( ! [X4: $i,X6: $i] :
        ( ! [X8: $i] :
            ( ( in @ X8 @ X4 )
           => ( in @ X8 @ X6 ) )
       => ( subset @ X4 @ X6 ) )
   => ( ! [X10: $i,X12: $i,X14: $i] :
          ( ( subset @ X10 @ X12 )
         => ( ( in @ X14 @ X10 )
           => ( in @ X14 @ X12 ) ) )
     => ( ! [X16: $i,X18: $i] :
            ( ( subset @ X16 @ X18 )
           => ( ( subset @ X18 @ X16 )
             => ( X16 = X18 ) ) )
       => ( ! [X20: $i,X22: $i,X24: $i] :
              ( ( in @ X24 @ X20 )
             => ( ( in @ X24 @ X22 )
               => ( in @ X24
                  @ ( dsetconstr @ X20
                    @ ^ [V_1: $i] : ( in @ V_1 @ X22 ) ) ) ) )
         => ( ! [X26: $i,X28: $i] :
                ( subset
                @ ( dsetconstr @ X26
                  @ ^ [V_2: $i] : ( in @ V_2 @ X28 ) )
                @ X26 )
           => ! [X30: $i,X32: $i] :
                ( ( subset @ X30 @ X32 )
               => ( ( dsetconstr @ X30
                    @ ^ [V_3: $i] : ( in @ V_3 @ X32 ) )
                  = X30 ) ) ) ) ) ) ) ).

thf(zf_stmt_1,negated_conjecture,
    ~ ( ! [X4: $i,X6: $i] :
          ( ! [X8: $i] :
              ( ( in @ X8 @ X4 )
             => ( in @ X8 @ X6 ) )
         => ( subset @ X4 @ X6 ) )
     => ( ! [X10: $i,X12: $i,X14: $i] :
            ( ( subset @ X10 @ X12 )
           => ( ( in @ X14 @ X10 )
             => ( in @ X14 @ X12 ) ) )
       => ( ! [X16: $i,X18: $i] :
              ( ( subset @ X16 @ X18 )
             => ( ( subset @ X18 @ X16 )
               => ( X16 = X18 ) ) )
         => ( ! [X20: $i,X22: $i,X24: $i] :
                ( ( in @ X24 @ X20 )
               => ( ( in @ X24 @ X22 )
                 => ( in @ X24
                    @ ( dsetconstr @ X20
                      @ ^ [V_1: $i] : ( in @ V_1 @ X22 ) ) ) ) )
           => ( ! [X26: $i,X28: $i] :
                  ( subset
                  @ ( dsetconstr @ X26
                    @ ^ [V_2: $i] : ( in @ V_2 @ X28 ) )
                  @ X26 )
             => ! [X30: $i,X32: $i] :
                  ( ( subset @ X30 @ X32 )
                 => ( ( dsetconstr @ X30
                      @ ^ [V_3: $i] : ( in @ V_3 @ X32 ) )
                    = X30 ) ) ) ) ) ) ),
    inference('cnf.neg',[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl2,plain,
    ! [X2: $i,X3: $i] :
      ( ~ ( subset @ X2 @ X3 )
      | ( X3 = X2 )
      | ~ ( subset @ X3 @ X2 ) ),
    inference(cnf,[status(esa)],[zf_stmt_1]) ).

thf(zip_derived_cl3,plain,
    ! [X4: $i,X5: $i] :
      ( subset
      @ ( dsetconstr @ X4
        @ ^ [Y0: $i] : ( in @ Y0 @ X5 ) )
      @ X4 ),
    inference(cnf,[status(esa)],[zf_stmt_1]) ).

thf(zip_derived_cl11,plain,
    ! [X0: $i,X1: $i] :
      ( ( ( dsetconstr @ X0
          @ ^ [Y0: $i] : ( in @ Y0 @ X1 ) )
        = X0 )
      | ~ ( subset @ X0
          @ ( dsetconstr @ X0
            @ ^ [Y0: $i] : ( in @ Y0 @ X1 ) ) ) ),
    inference('sup+',[status(thm)],[zip_derived_cl2,zip_derived_cl3]) ).

thf(zip_derived_cl0,plain,
    ! [X0: $i,X1: $i] :
      ( ( subset @ X0 @ X1 )
      | ~ ( in @ ( sk__15 @ X1 @ X0 ) @ X1 ) ),
    inference(cnf,[status(esa)],[zf_stmt_1]) ).

thf(zip_derived_cl1,plain,
    ! [X0: $i,X1: $i] :
      ( ( subset @ X0 @ X1 )
      | ( in @ ( sk__15 @ X1 @ X0 ) @ X0 ) ),
    inference(cnf,[status(esa)],[zf_stmt_1]) ).

thf(zip_derived_cl6,plain,
    ! [X6: $i,X7: $i,X8: $i] :
      ( ~ ( in @ X6 @ X7 )
      | ( in @ X6
        @ ( dsetconstr @ X8
          @ ^ [Y0: $i] : ( in @ Y0 @ X7 ) ) )
      | ~ ( in @ X6 @ X8 ) ),
    inference(cnf,[status(esa)],[zf_stmt_1]) ).

thf(zip_derived_cl1_001,plain,
    ! [X0: $i,X1: $i] :
      ( ( subset @ X0 @ X1 )
      | ( in @ ( sk__15 @ X1 @ X0 ) @ X0 ) ),
    inference(cnf,[status(esa)],[zf_stmt_1]) ).

thf(zip_derived_cl51,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ~ ( in @ ( sk__15 @ X1 @ X0 ) @ X2 )
      | ( in @ ( sk__15 @ X1 @ X0 )
        @ ( dsetconstr @ X2
          @ ^ [Y0: $i] : ( in @ Y0 @ X0 ) ) )
      | ( subset @ X0 @ X1 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl6,zip_derived_cl1]) ).

thf(zip_derived_cl69,plain,
    ! [X0: $i,X1: $i] :
      ( ( subset @ X0 @ X1 )
      | ( subset @ X0 @ X1 )
      | ( in @ ( sk__15 @ X1 @ X0 )
        @ ( dsetconstr @ X0
          @ ^ [Y0: $i] : ( in @ Y0 @ X0 ) ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl1,zip_derived_cl51]) ).

thf(zip_derived_cl74,plain,
    ! [X0: $i,X1: $i] :
      ( ( in @ ( sk__15 @ X1 @ X0 )
        @ ( dsetconstr @ X0
          @ ^ [Y0: $i] : ( in @ Y0 @ X0 ) ) )
      | ( subset @ X0 @ X1 ) ),
    inference(simplify,[status(thm)],[zip_derived_cl69]) ).

thf(zip_derived_cl80,plain,
    ! [X0: $i] :
      ( ( subset @ X0
        @ ( dsetconstr @ X0
          @ ^ [Y0: $i] : ( in @ Y0 @ X0 ) ) )
      | ( subset @ X0
        @ ( dsetconstr @ X0
          @ ^ [Y0: $i] : ( in @ Y0 @ X0 ) ) ) ),
    inference('sup+',[status(thm)],[zip_derived_cl0,zip_derived_cl74]) ).

thf(zip_derived_cl82,plain,
    ! [X0: $i] :
      ( subset @ X0
      @ ( dsetconstr @ X0
        @ ^ [Y0: $i] : ( in @ Y0 @ X0 ) ) ),
    inference(simplify,[status(thm)],[zip_derived_cl80]) ).

thf(zip_derived_cl11_002,plain,
    ! [X0: $i,X1: $i] :
      ( ( ( dsetconstr @ X0
          @ ^ [Y0: $i] : ( in @ Y0 @ X1 ) )
        = X0 )
      | ~ ( subset @ X0
          @ ( dsetconstr @ X0
            @ ^ [Y0: $i] : ( in @ Y0 @ X1 ) ) ) ),
    inference('sup+',[status(thm)],[zip_derived_cl2,zip_derived_cl3]) ).

thf(zip_derived_cl85,plain,
    ! [X0: $i] :
      ( ( dsetconstr @ X0
        @ ^ [Y0: $i] : ( in @ Y0 @ X0 ) )
      = X0 ),
    inference('sup-',[status(thm)],[zip_derived_cl82,zip_derived_cl11]) ).

thf(zip_derived_cl1_003,plain,
    ! [X0: $i,X1: $i] :
      ( ( subset @ X0 @ X1 )
      | ( in @ ( sk__15 @ X1 @ X0 ) @ X0 ) ),
    inference(cnf,[status(esa)],[zf_stmt_1]) ).

thf(zip_derived_cl0_004,plain,
    ! [X0: $i,X1: $i] :
      ( ( subset @ X0 @ X1 )
      | ~ ( in @ ( sk__15 @ X1 @ X0 ) @ X1 ) ),
    inference(cnf,[status(esa)],[zf_stmt_1]) ).

thf(zip_derived_cl5,plain,
    subset @ sk__13 @ sk__14,
    inference(cnf,[status(esa)],[zf_stmt_1]) ).

thf(zip_derived_cl7,plain,
    ! [X9: $i,X10: $i,X11: $i] :
      ( ~ ( subset @ X9 @ X10 )
      | ( in @ X11 @ X10 )
      | ~ ( in @ X11 @ X9 ) ),
    inference(cnf,[status(esa)],[zf_stmt_1]) ).

thf(zip_derived_cl8,plain,
    ! [X0: $i] :
      ( ~ ( in @ X0 @ sk__13 )
      | ( in @ X0 @ sk__14 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl5,zip_derived_cl7]) ).

thf(zip_derived_cl20,plain,
    ! [X0: $i] :
      ( ( subset @ X0 @ sk__14 )
      | ~ ( in @ ( sk__15 @ sk__14 @ X0 ) @ sk__13 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl0,zip_derived_cl8]) ).

thf(zip_derived_cl1_005,plain,
    ! [X0: $i,X1: $i] :
      ( ( subset @ X0 @ X1 )
      | ( in @ ( sk__15 @ X1 @ X0 ) @ X0 ) ),
    inference(cnf,[status(esa)],[zf_stmt_1]) ).

thf(zip_derived_cl3_006,plain,
    ! [X4: $i,X5: $i] :
      ( subset
      @ ( dsetconstr @ X4
        @ ^ [Y0: $i] : ( in @ Y0 @ X5 ) )
      @ X4 ),
    inference(cnf,[status(esa)],[zf_stmt_1]) ).

thf(zip_derived_cl7_007,plain,
    ! [X9: $i,X10: $i,X11: $i] :
      ( ~ ( subset @ X9 @ X10 )
      | ( in @ X11 @ X10 )
      | ~ ( in @ X11 @ X9 ) ),
    inference(cnf,[status(esa)],[zf_stmt_1]) ).

thf(zip_derived_cl9,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ~ ( in @ X2
          @ ( dsetconstr @ X0
            @ ^ [Y0: $i] : ( in @ Y0 @ X1 ) ) )
      | ( in @ X2 @ X0 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl3,zip_derived_cl7]) ).

thf(zip_derived_cl59,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( subset
        @ ( dsetconstr @ X1
          @ ^ [Y0: $i] : ( in @ Y0 @ X0 ) )
        @ X2 )
      | ( in
        @ ( sk__15 @ X2
          @ ( dsetconstr @ X1
            @ ^ [Y0: $i] : ( in @ Y0 @ X0 ) ) )
        @ X1 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl1,zip_derived_cl9]) ).

thf(zip_derived_cl140,plain,
    ! [X0: $i] :
      ( ( subset
        @ ( dsetconstr @ sk__13
          @ ^ [Y0: $i] : ( in @ Y0 @ X0 ) )
        @ sk__14 )
      | ( subset
        @ ( dsetconstr @ sk__13
          @ ^ [Y0: $i] : ( in @ Y0 @ X0 ) )
        @ sk__14 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl20,zip_derived_cl59]) ).

thf(zip_derived_cl146,plain,
    ! [X0: $i] :
      ( subset
      @ ( dsetconstr @ sk__13
        @ ^ [Y0: $i] : ( in @ Y0 @ X0 ) )
      @ sk__14 ),
    inference(simplify,[status(thm)],[zip_derived_cl140]) ).

thf(zip_derived_cl7_008,plain,
    ! [X9: $i,X10: $i,X11: $i] :
      ( ~ ( subset @ X9 @ X10 )
      | ( in @ X11 @ X10 )
      | ~ ( in @ X11 @ X9 ) ),
    inference(cnf,[status(esa)],[zf_stmt_1]) ).

thf(zip_derived_cl155,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( in @ X1
          @ ( dsetconstr @ sk__13
            @ ^ [Y0: $i] : ( in @ Y0 @ X0 ) ) )
      | ( in @ X1 @ sk__14 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl146,zip_derived_cl7]) ).

thf(zip_derived_cl210,plain,
    ! [X0: $i,X1: $i] :
      ( ( subset
        @ ( dsetconstr @ sk__13
          @ ^ [Y0: $i] : ( in @ Y0 @ X0 ) )
        @ X1 )
      | ( in
        @ ( sk__15 @ X1
          @ ( dsetconstr @ sk__13
            @ ^ [Y0: $i] : ( in @ Y0 @ X0 ) ) )
        @ sk__14 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl1,zip_derived_cl155]) ).

thf(zip_derived_cl221,plain,
    ! [X0: $i] :
      ( ( in @ ( sk__15 @ X0 @ sk__13 ) @ sk__14 )
      | ( subset
        @ ( dsetconstr @ sk__13
          @ ^ [Y0: $i] : ( in @ Y0 @ sk__13 ) )
        @ X0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl85,zip_derived_cl210]) ).

thf(zip_derived_cl85_009,plain,
    ! [X0: $i] :
      ( ( dsetconstr @ X0
        @ ^ [Y0: $i] : ( in @ Y0 @ X0 ) )
      = X0 ),
    inference('sup-',[status(thm)],[zip_derived_cl82,zip_derived_cl11]) ).

thf(zip_derived_cl227,plain,
    ! [X0: $i] :
      ( ( in @ ( sk__15 @ X0 @ sk__13 ) @ sk__14 )
      | ( subset @ sk__13 @ X0 ) ),
    inference(demod,[status(thm)],[zip_derived_cl221,zip_derived_cl85]) ).

thf(zip_derived_cl1_010,plain,
    ! [X0: $i,X1: $i] :
      ( ( subset @ X0 @ X1 )
      | ( in @ ( sk__15 @ X1 @ X0 ) @ X0 ) ),
    inference(cnf,[status(esa)],[zf_stmt_1]) ).

thf(zip_derived_cl6_011,plain,
    ! [X6: $i,X7: $i,X8: $i] :
      ( ~ ( in @ X6 @ X7 )
      | ( in @ X6
        @ ( dsetconstr @ X8
          @ ^ [Y0: $i] : ( in @ Y0 @ X7 ) ) )
      | ~ ( in @ X6 @ X8 ) ),
    inference(cnf,[status(esa)],[zf_stmt_1]) ).

thf(zip_derived_cl0_012,plain,
    ! [X0: $i,X1: $i] :
      ( ( subset @ X0 @ X1 )
      | ~ ( in @ ( sk__15 @ X1 @ X0 ) @ X1 ) ),
    inference(cnf,[status(esa)],[zf_stmt_1]) ).

thf(zip_derived_cl49,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ~ ( in
          @ ( sk__15
            @ ( dsetconstr @ X1
              @ ^ [Y0: $i] : ( in @ Y0 @ X0 ) )
            @ X2 )
          @ X1 )
      | ~ ( in
          @ ( sk__15
            @ ( dsetconstr @ X1
              @ ^ [Y0: $i] : ( in @ Y0 @ X0 ) )
            @ X2 )
          @ X0 )
      | ( subset @ X2
        @ ( dsetconstr @ X1
          @ ^ [Y0: $i] : ( in @ Y0 @ X0 ) ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl6,zip_derived_cl0]) ).

thf(zip_derived_cl101,plain,
    ! [X0: $i,X1: $i] :
      ( ( subset @ X0
        @ ( dsetconstr @ X0
          @ ^ [Y0: $i] : ( in @ Y0 @ X1 ) ) )
      | ( subset @ X0
        @ ( dsetconstr @ X0
          @ ^ [Y0: $i] : ( in @ Y0 @ X1 ) ) )
      | ~ ( in
          @ ( sk__15
            @ ( dsetconstr @ X0
              @ ^ [Y0: $i] : ( in @ Y0 @ X1 ) )
            @ X0 )
          @ X1 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl1,zip_derived_cl49]) ).

thf(zip_derived_cl109,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( in
          @ ( sk__15
            @ ( dsetconstr @ X0
              @ ^ [Y0: $i] : ( in @ Y0 @ X1 ) )
            @ X0 )
          @ X1 )
      | ( subset @ X0
        @ ( dsetconstr @ X0
          @ ^ [Y0: $i] : ( in @ Y0 @ X1 ) ) ) ),
    inference(simplify,[status(thm)],[zip_derived_cl101]) ).

thf(zip_derived_cl301,plain,
    ( ( subset @ sk__13
      @ ( dsetconstr @ sk__13
        @ ^ [Y0: $i] : ( in @ Y0 @ sk__14 ) ) )
    | ( subset @ sk__13
      @ ( dsetconstr @ sk__13
        @ ^ [Y0: $i] : ( in @ Y0 @ sk__14 ) ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl227,zip_derived_cl109]) ).

thf(zip_derived_cl309,plain,
    ( subset @ sk__13
    @ ( dsetconstr @ sk__13
      @ ^ [Y0: $i] : ( in @ Y0 @ sk__14 ) ) ),
    inference(simplify,[status(thm)],[zip_derived_cl301]) ).

thf(zip_derived_cl321,plain,
    ( ( dsetconstr @ sk__13
      @ ^ [Y0: $i] : ( in @ Y0 @ sk__14 ) )
    = sk__13 ),
    inference('sup+',[status(thm)],[zip_derived_cl11,zip_derived_cl309]) ).

thf(zip_derived_cl4,plain,
    ( ( dsetconstr @ sk__13
      @ ^ [Y0: $i] : ( in @ Y0 @ sk__14 ) )
   != sk__13 ),
    inference(cnf,[status(esa)],[zf_stmt_1]) ).

thf(zip_derived_cl322,plain,
    $false,
    inference('simplify_reflect-',[status(thm)],[zip_derived_cl321,zip_derived_cl4]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.14  % Problem  : SEU593^2 : TPTP v9.2.0. Released v3.7.0.
% 0.07/0.15  % Command  : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.cs1bmamjR3 true
% 0.12/0.36  % Computer : n008.cluster.edu
% 0.12/0.36  % Model    : x86_64 x86_64
% 0.12/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.36  % Memory   : 8042.1875MB
% 0.12/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.36  % CPULimit : 300
% 0.12/0.36  % WCLimit  : 300
% 0.12/0.36  % DateTime : Wed Oct  1 16:05:08 EDT 2025
% 0.12/0.37  % CPUTime  : 
% 0.12/0.37  % Running portfolio for 300 s
% 0.12/0.37  % File         : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.12/0.37  % Number of cores: 8
% 0.12/0.37  % Python version: Python 3.6.8
% 0.12/0.37  % Running in HO mode
% 0.54/0.68  % Total configuration time : 828
% 0.54/0.68  % Estimated wc time : 1656
% 0.54/0.68  % Estimated cpu time (8 cpus) : 207.0
% 0.56/0.73  % /export/starexec/sandbox/solver/bin/lams/40_c.s.sh running for 80s
% 0.56/0.76  % /export/starexec/sandbox/solver/bin/lams/35_full_unif4.sh running for 80s
% 0.56/0.76  % /export/starexec/sandbox/solver/bin/lams/40_c_ic.sh running for 80s
% 0.56/0.76  % /export/starexec/sandbox/solver/bin/lams/15_e_short1.sh running for 30s
% 0.56/0.76  % /export/starexec/sandbox/solver/bin/lams/40_noforms.sh running for 90s
% 0.56/0.76  % /export/starexec/sandbox/solver/bin/lams/40_b.comb.sh running for 70s
% 0.56/0.77  % /export/starexec/sandbox/solver/bin/lams/20_acsne_simpl.sh running for 40s
% 0.56/0.77  % /export/starexec/sandbox/solver/bin/lams/30_sp5.sh running for 60s
% 0.58/0.96  % Solved by lams/40_c.s.sh.
% 0.58/0.96  % done 72 iterations in 0.200s
% 0.58/0.96  % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 0.58/0.96  % SZS output start Refutation
% See solution above
% 0.58/0.96  
% 0.58/0.96  
% 0.58/0.96  % Terminating...
% 2.53/1.09  % Runner terminated.
% 2.53/1.11  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------