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Zipperpin---2.1.9999.THM-Ref.s

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%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : SET582^5 : TPTP v9.2.0. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.SqggSmYCvK true

% Computer : n021.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 04:52:17 PM UTC 2025

% Result   : Theorem 0.53s 0.78s
% Output   : Refutation 0.53s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   21
%            Number of leaves      :    1
% Syntax   : Number of formulae    :   37 (  20 unt;   0 typ;   0 def)
%            Number of atoms       :  184 (  28 equ;  35 cnn)
%            Maximal formula atoms :    6 (   4 avg)
%            Number of connectives :  323 (  60   ~;  25   |;  24   &; 174   @)
%                                         (  23 <=>;   6  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   15 (   4 avg)
%            Number of types       :    2 (   1 usr)
%            Number of type conns  :   12 (  12   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :    9 (   4 usr;   5 con; 0-2 aty)
%                                         (  11  !!;   0  ??;   0 @@+;   0 @@-)
%            Number of variables   :   35 (  19   ^;  16   !;   0   ?;  35   :)

% 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_25_pme,conjecture,
    ! [X: a > $o,Y: a > $o,Z: a > $o] :
      ( ! [Xx: a] :
          ( ( ~ ( X @ Xx )
          <=> ( Y @ Xx ) )
        <=> ( Z @ Xx ) )
     => ( X
        = ( ^ [Xz: a] :
              ( ( ~ ( Y @ Xz )
                & ( Z @ Xz ) )
              | ( ~ ( Z @ Xz )
                & ( Y @ Xz ) ) ) ) ) ) ).

thf(zf_stmt_0,negated_conjecture,
    ~ ! [X: a > $o,Y: a > $o,Z: a > $o] :
        ( ! [Xx: a] :
            ( ( ~ ( X @ Xx )
            <=> ( Y @ Xx ) )
          <=> ( Z @ Xx ) )
       => ( X
          = ( ^ [Xz: a] :
                ( ( ~ ( Y @ Xz )
                  & ( Z @ Xz ) )
                | ( ~ ( Z @ Xz )
                  & ( Y @ Xz ) ) ) ) ) ),
    inference('cnf.neg',[status(esa)],[cBOOL_PROP_25_pme]) ).

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

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

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

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

thf(zip_derived_cl5,plain,
    ( '#sk1'
   != ( ^ [Y0: a] :
          ( ( ( (~) @ ( '#sk2' @ Y0 ) )
            & ( '#sk3' @ Y0 ) )
          | ( ( (~) @ ( '#sk3' @ Y0 ) )
            & ( '#sk2' @ Y0 ) ) ) ) ),
    inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl3]) ).

thf(zip_derived_cl7,plain,
    ( '#sk1'
   != ( ^ [Y0: a] :
          ( ( ( (~) @ ( '#sk2' @ Y0 ) )
            & ( '#sk3' @ Y0 ) )
          | ( ( (~) @ ( '#sk3' @ Y0 ) )
            & ( '#sk2' @ Y0 ) ) ) ) ),
    inference('simplify nested equalities',[status(thm)],[zip_derived_cl5]) ).

thf(zip_derived_cl9,plain,
    ( ( '#sk1' @ '#sk4' )
   != ( ( ( (~) @ ( '#sk2' @ '#sk4' ) )
        & ( '#sk3' @ '#sk4' ) )
      | ( ( (~) @ ( '#sk3' @ '#sk4' ) )
        & ( '#sk2' @ '#sk4' ) ) ) ),
    inference(neg_ext,[status(thm)],[zip_derived_cl7]) ).

thf(zip_derived_cl4,plain,
    ( !!
    @ ^ [Y0: a] :
        ( ( ( (~) @ ( '#sk1' @ Y0 ) )
        <=> ( '#sk2' @ Y0 ) )
      <=> ( '#sk3' @ Y0 ) ) ),
    inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl3]) ).

thf(zip_derived_cl6,plain,
    ! [X2: a] :
      ( ( ( (~) @ ( '#sk1' @ X2 ) )
      <=> ( '#sk2' @ X2 ) )
    <=> ( '#sk3' @ X2 ) ),
    inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl4]) ).

thf(zip_derived_cl8,plain,
    ! [X2: a] :
      ( ( ( (~) @ ( '#sk1' @ X2 ) )
      <=> ( '#sk2' @ X2 ) )
      = ( '#sk3' @ X2 ) ),
    inference('simplify nested equalities',[status(thm)],[zip_derived_cl6]) ).

thf(zip_derived_cl12,plain,
    ! [X2: a] :
      ( ( '#sk1' @ X2 )
      | ( ( ( (~) @ $false )
        <=> ( '#sk2' @ X2 ) )
        = ( '#sk3' @ X2 ) ) ),
    inference(bool_hoist,[status(thm)],[zip_derived_cl8]) ).

thf(zip_derived_cl13,plain,
    ! [X2: a] :
      ( ( '#sk1' @ X2 )
      | ( ( '#sk2' @ X2 )
        = ( '#sk3' @ X2 ) ) ),
    inference('simplify boolean subterms',[status(thm)],[zip_derived_cl12]) ).

thf(zip_derived_cl9_001,plain,
    ( ( '#sk1' @ '#sk4' )
   != ( ( ( (~) @ ( '#sk2' @ '#sk4' ) )
        & ( '#sk3' @ '#sk4' ) )
      | ( ( (~) @ ( '#sk3' @ '#sk4' ) )
        & ( '#sk2' @ '#sk4' ) ) ) ),
    inference(neg_ext,[status(thm)],[zip_derived_cl7]) ).

thf(zip_derived_cl73,plain,
    ( ( '#sk2' @ '#sk4' )
    | ( ( '#sk1' @ '#sk4' )
     != ( ( ( (~) @ $false )
          & ( '#sk3' @ '#sk4' ) )
        | ( ( (~) @ ( '#sk3' @ '#sk4' ) )
          & $false ) ) ) ),
    inference(bool_hoist,[status(thm)],[zip_derived_cl9]) ).

thf(zip_derived_cl74,plain,
    ( ( '#sk2' @ '#sk4' )
    | ( ( '#sk1' @ '#sk4' )
     != ( '#sk3' @ '#sk4' ) ) ),
    inference('simplify boolean subterms',[status(thm)],[zip_derived_cl73]) ).

thf(zip_derived_cl86,plain,
    ( ( ( '#sk1' @ '#sk4' )
     != ( '#sk2' @ '#sk4' ) )
    | ( '#sk1' @ '#sk4' )
    | ( '#sk2' @ '#sk4' ) ),
    inference('sup-',[status(thm)],[zip_derived_cl13,zip_derived_cl74]) ).

thf(zip_derived_cl98,plain,
    ( ( '#sk1' @ '#sk4' )
    | ( '#sk2' @ '#sk4' ) ),
    inference(local_rewriting,[status(thm)],[zip_derived_cl86]) ).

thf(zip_derived_cl8_002,plain,
    ! [X2: a] :
      ( ( ( (~) @ ( '#sk1' @ X2 ) )
      <=> ( '#sk2' @ X2 ) )
      = ( '#sk3' @ X2 ) ),
    inference('simplify nested equalities',[status(thm)],[zip_derived_cl6]) ).

thf(zip_derived_cl11,plain,
    ! [X2: a] :
      ( ~ ( ( (~) @ ( '#sk1' @ X2 ) )
        <=> ( '#sk2' @ X2 ) )
      | ( '#sk3' @ X2 ) ),
    inference(eq_elim,[status(thm)],[zip_derived_cl8]) ).

thf(zip_derived_cl15,plain,
    ! [X2: a] :
      ( ( ( '#sk1' @ X2 )
        = ( '#sk2' @ X2 ) )
      | ( '#sk3' @ X2 ) ),
    inference('simplify nested equalities',[status(thm)],[zip_derived_cl11]) ).

thf(zip_derived_cl74_003,plain,
    ( ( '#sk2' @ '#sk4' )
    | ( ( '#sk1' @ '#sk4' )
     != ( '#sk3' @ '#sk4' ) ) ),
    inference('simplify boolean subterms',[status(thm)],[zip_derived_cl73]) ).

thf(zip_derived_cl85,plain,
    ( ~ ( '#sk1' @ '#sk4' )
    | ( ( '#sk1' @ '#sk4' )
      = ( '#sk2' @ '#sk4' ) )
    | ( '#sk2' @ '#sk4' ) ),
    inference('sup-',[status(thm)],[zip_derived_cl15,zip_derived_cl74]) ).

thf(zip_derived_cl97,plain,
    ( ~ ( '#sk1' @ '#sk4' )
    | ( '#sk2' @ '#sk4' ) ),
    inference(local_rewriting,[status(thm)],[zip_derived_cl85]) ).

thf(zip_derived_cl111,plain,
    '#sk2' @ '#sk4',
    inference(clc,[status(thm)],[zip_derived_cl98,zip_derived_cl97]) ).

thf(zip_derived_cl111_004,plain,
    '#sk2' @ '#sk4',
    inference(clc,[status(thm)],[zip_derived_cl98,zip_derived_cl97]) ).

thf(zip_derived_cl112,plain,
    ( ( '#sk1' @ '#sk4' )
   != ( ( ( (~) @ $true )
        & ( '#sk3' @ '#sk4' ) )
      | ( ( (~) @ ( '#sk3' @ '#sk4' ) )
        & $true ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl9,zip_derived_cl111,zip_derived_cl111]) ).

thf(zip_derived_cl113,plain,
    ( ( '#sk1' @ '#sk4' )
   != ( (~) @ ( '#sk3' @ '#sk4' ) ) ),
    inference('simplify boolean subterms',[status(thm)],[zip_derived_cl112]) ).

thf(zip_derived_cl114,plain,
    ( ( '#sk1' @ '#sk4' )
    = ( '#sk3' @ '#sk4' ) ),
    inference('simplify nested equalities',[status(thm)],[zip_derived_cl113]) ).

thf(zip_derived_cl8_005,plain,
    ! [X2: a] :
      ( ( ( (~) @ ( '#sk1' @ X2 ) )
      <=> ( '#sk2' @ X2 ) )
      = ( '#sk3' @ X2 ) ),
    inference('simplify nested equalities',[status(thm)],[zip_derived_cl6]) ).

thf(zip_derived_cl122,plain,
    ( ( ( (~) @ ( '#sk3' @ '#sk4' ) )
    <=> ( '#sk2' @ '#sk4' ) )
    = ( '#sk3' @ '#sk4' ) ),
    inference('sup+',[status(thm)],[zip_derived_cl114,zip_derived_cl8]) ).

thf(zip_derived_cl111_006,plain,
    '#sk2' @ '#sk4',
    inference(clc,[status(thm)],[zip_derived_cl98,zip_derived_cl97]) ).

thf(zip_derived_cl143,plain,
    ( ( ( (~) @ ( '#sk3' @ '#sk4' ) )
    <=> $true )
    = ( '#sk3' @ '#sk4' ) ),
    inference(demod,[status(thm)],[zip_derived_cl122,zip_derived_cl111]) ).

thf(zip_derived_cl144,plain,
    ( ( (~) @ ( '#sk3' @ '#sk4' ) )
    = ( '#sk3' @ '#sk4' ) ),
    inference('simplify boolean subterms',[status(thm)],[zip_derived_cl143]) ).

thf(zip_derived_cl145,plain,
    ( ( '#sk3' @ '#sk4' )
   != ( '#sk3' @ '#sk4' ) ),
    inference('simplify nested equalities',[status(thm)],[zip_derived_cl144]) ).

thf(zip_derived_cl146,plain,
    $false,
    inference(simplify,[status(thm)],[zip_derived_cl145]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : SET582^5 : TPTP v9.2.0. Released v4.0.0.
% 0.07/0.13  % Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.SqggSmYCvK true
% 0.13/0.34  % Computer : n021.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34  % CPULimit : 300
% 0.13/0.34  % WCLimit  : 300
% 0.13/0.34  % DateTime : Wed Oct  1 13:00:08 EDT 2025
% 0.13/0.34  % CPUTime  : 
% 0.13/0.34  % Running portfolio for 300 s
% 0.13/0.34  % File         : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.13/0.34  % Number of cores: 8
% 0.13/0.35  % Python version: Python 3.6.8
% 0.13/0.35  % Running in HO mode
% 0.52/0.66  % Total configuration time : 828
% 0.52/0.66  % Estimated wc time : 1656
% 0.52/0.66  % Estimated cpu time (8 cpus) : 207.0
% 0.52/0.70  % /export/starexec/sandbox2/solver/bin/lams/40_c.s.sh running for 80s
% 0.52/0.71  % /export/starexec/sandbox2/solver/bin/lams/35_full_unif4.sh running for 80s
% 0.52/0.75  % /export/starexec/sandbox2/solver/bin/lams/40_c_ic.sh running for 80s
% 0.52/0.76  % /export/starexec/sandbox2/solver/bin/lams/15_e_short1.sh running for 30s
% 0.52/0.76  % /export/starexec/sandbox2/solver/bin/lams/20_acsne_simpl.sh running for 40s
% 0.52/0.76  % /export/starexec/sandbox2/solver/bin/lams/40_noforms.sh running for 90s
% 0.52/0.76  % /export/starexec/sandbox2/solver/bin/lams/40_b.comb.sh running for 70s
% 0.53/0.77  % /export/starexec/sandbox2/solver/bin/lams/30_sp5.sh running for 60s
% 0.53/0.78  % Solved by lams/35_full_unif4.sh.
% 0.53/0.78  % done 10 iterations in 0.025s
% 0.53/0.78  % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 0.53/0.78  % SZS output start Refutation
% See solution above
% 0.53/0.78  
% 0.53/0.78  
% 0.53/0.78  % Terminating...
% 0.62/0.86  % Runner terminated.
% 0.62/0.87  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------