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Zipperpin---2.1.9999.THM-Ref.s

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%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : SEU557^2 : TPTP v9.2.0. Bugfixed v5.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.8GFpKg6fgF true

% Computer : n031.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 04:55:03 PM UTC 2025

% Result   : Theorem 0.58s 0.88s
% Output   : Refutation 0.58s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   12
%            Number of leaves      :    8
% Syntax   : Number of formulae    :   27 (  17 unt;   0 typ;   0 def)
%            Number of atoms       :   79 (  35 equ;   0 cnn)
%            Maximal formula atoms :    7 (   2 avg)
%            Number of connectives :  184 (  16   ~;   9   |;  11   &; 100   @)
%                                         (   3 <=>;  45  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   14 (   4 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :   17 (  17   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :    9 (   7 usr;   4 con; 0-2 aty)
%            Number of variables   :   79 (  23   ^;  45   !;  11   ?;  79   :)

% Comments : 
%------------------------------------------------------------------------------
thf(exu_type,type,
    exu: ( $i > $o ) > $o ).

thf(sk__9_type,type,
    sk__9: $i > $o ).

thf(descr_type,type,
    descr: ( $i > $o ) > $i ).

thf(sk__7_type,type,
    sk__7: $i > $o ).

thf(descrp_type,type,
    descrp: $o ).

thf(exuEu_type,type,
    exuEu: $o ).

thf('#sk88_type',type,
    '#sk88': $i ).

thf(descrp_def,axiom,
    ( descrp
    = ( ! [Xphi: $i > $o] :
          ( ( exu
            @ ^ [Xx: $i] : ( Xphi @ Xx ) )
         => ( Xphi
            @ ( descr
              @ ^ [Xx: $i] : ( Xphi @ Xx ) ) ) ) ) ) ).

thf('0',plain,
    ( descrp
    = ( ! [X4: $i > $o] :
          ( ( exu
            @ ^ [V_1: $i] : ( X4 @ V_1 ) )
         => ( X4
            @ ( descr
              @ ^ [V_2: $i] : ( X4 @ V_2 ) ) ) ) ) ),
    define([status(thm)]) ).

thf(exuEu_def,axiom,
    ( exuEu
    = ( ! [Xphi: $i > $o] :
          ( ( exu
            @ ^ [Xx: $i] : ( Xphi @ Xx ) )
         => ! [Xx: $i,Xy: $i] :
              ( ( Xphi @ Xx )
             => ( ( Xphi @ Xy )
               => ( Xx = Xy ) ) ) ) ) ) ).

thf('1',plain,
    ( exuEu
    = ( ! [X4: $i > $o] :
          ( ( exu
            @ ^ [V_1: $i] : ( X4 @ V_1 ) )
         => ! [X6: $i,X8: $i] :
              ( ( X4 @ X6 )
             => ( ( X4 @ X8 )
               => ( X6 = X8 ) ) ) ) ) ),
    define([status(thm)]) ).

thf(exu_def,axiom,
    ( exu
    = ( ^ [Xphi: $i > $o] :
        ? [Xx: $i] :
          ( ! [Xy: $i] :
              ( ( Xphi @ Xy )
             => ( Xx = Xy ) )
          & ( Xphi @ Xx ) ) ) ) ).

thf('2',plain,
    ( exu
    = ( ^ [Xphi: $i > $o] :
        ? [Xx: $i] :
          ( ! [Xy: $i] :
              ( ( Xphi @ Xy )
             => ( Xx = Xy ) )
          & ( Xphi @ Xx ) ) ) ),
    inference(simplify_rw_rule,[status(thm)],[exu_def]) ).

thf('3',plain,
    ( exu
    = ( ^ [V_1: $i > $o] :
        ? [X4: $i] :
          ( ! [X6: $i] :
              ( ( V_1 @ X6 )
             => ( X4 = X6 ) )
          & ( V_1 @ X4 ) ) ) ),
    define([status(thm)]) ).

thf(descr__Cong,conjecture,
    ( descrp
   => ( exuEu
     => ! [Xphi: $i > $o,Xpsi: $i > $o] :
          ( ! [Xx: $i,Xy: $i] :
              ( ( Xx = Xy )
             => ( ( Xphi @ Xx )
              <=> ( Xpsi @ Xy ) ) )
         => ( ( exu
              @ ^ [Xx: $i] : ( Xphi @ Xx ) )
           => ( ( exu
                @ ^ [Xx: $i] : ( Xpsi @ Xx ) )
             => ( ( descr
                  @ ^ [Xx: $i] : ( Xphi @ Xx ) )
                = ( descr
                  @ ^ [Xx: $i] : ( Xpsi @ Xx ) ) ) ) ) ) ) ) ).

thf(zf_stmt_0,conjecture,
    ( ! [X4: $i > $o] :
        ( ? [X6: $i] :
            ( ! [X8: $i] :
                ( ( X4 @ X8 )
               => ( X6 = X8 ) )
            & ( X4 @ X6 ) )
       => ( X4
          @ ( descr
            @ ^ [V_1: $i] : ( X4 @ V_1 ) ) ) )
   => ( ! [X10: $i > $o] :
          ( ? [X12: $i] :
              ( ! [X14: $i] :
                  ( ( X10 @ X14 )
                 => ( X12 = X14 ) )
              & ( X10 @ X12 ) )
         => ! [X16: $i,X18: $i] :
              ( ( X10 @ X16 )
             => ( ( X10 @ X18 )
               => ( X16 = X18 ) ) ) )
     => ! [X20: $i > $o,X22: $i > $o] :
          ( ! [X24: $i,X26: $i] :
              ( ( X24 = X26 )
             => ( ( X20 @ X24 )
              <=> ( X22 @ X26 ) ) )
         => ( ? [X28: $i] :
                ( ! [X30: $i] :
                    ( ( X20 @ X30 )
                   => ( X28 = X30 ) )
                & ( X20 @ X28 ) )
           => ( ? [X32: $i] :
                  ( ! [X34: $i] :
                      ( ( X22 @ X34 )
                     => ( X32 = X34 ) )
                  & ( X22 @ X32 ) )
             => ( ( descr
                  @ ^ [V_2: $i] : ( X20 @ V_2 ) )
                = ( descr
                  @ ^ [V_3: $i] : ( X22 @ V_3 ) ) ) ) ) ) ) ) ).

thf(zf_stmt_1,negated_conjecture,
    ~ ( ! [X4: $i > $o] :
          ( ? [X6: $i] :
              ( ! [X8: $i] :
                  ( ( X4 @ X8 )
                 => ( X6 = X8 ) )
              & ( X4 @ X6 ) )
         => ( X4
            @ ( descr
              @ ^ [V_1: $i] : ( X4 @ V_1 ) ) ) )
     => ( ! [X10: $i > $o] :
            ( ? [X12: $i] :
                ( ! [X14: $i] :
                    ( ( X10 @ X14 )
                   => ( X12 = X14 ) )
                & ( X10 @ X12 ) )
           => ! [X16: $i,X18: $i] :
                ( ( X10 @ X16 )
               => ( ( X10 @ X18 )
                 => ( X16 = X18 ) ) ) )
       => ! [X20: $i > $o,X22: $i > $o] :
            ( ! [X24: $i,X26: $i] :
                ( ( X24 = X26 )
               => ( ( X20 @ X24 )
                <=> ( X22 @ X26 ) ) )
           => ( ? [X28: $i] :
                  ( ! [X30: $i] :
                      ( ( X20 @ X30 )
                     => ( X28 = X30 ) )
                  & ( X20 @ X28 ) )
             => ( ? [X32: $i] :
                    ( ! [X34: $i] :
                        ( ( X22 @ X34 )
                       => ( X32 = X34 ) )
                    & ( X22 @ X32 ) )
               => ( ( descr
                    @ ^ [V_2: $i] : ( X20 @ V_2 ) )
                  = ( descr
                    @ ^ [V_3: $i] : ( X22 @ V_3 ) ) ) ) ) ) ) ),
    inference('cnf.neg',[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl5,plain,
    ! [X3: $i,X4: $i] :
      ( ~ ( sk__7 @ X4 )
      | ( sk__9 @ X3 )
      | ( X4 != X3 ) ),
    inference(cnf,[status(esa)],[zf_stmt_1]) ).

thf(zip_derived_cl274,plain,
    ! [X3: $i] :
      ( ( sk__9 @ X3 )
      | ~ ( sk__7 @ X3 ) ),
    inference(simplify,[status(thm)],[zip_derived_cl5]) ).

thf(zip_derived_cl8,plain,
    ( ( descr
      @ ^ [Y0: $i] : ( sk__7 @ Y0 ) )
   != ( descr
      @ ^ [Y0: $i] : ( sk__9 @ Y0 ) ) ),
    inference(cnf,[status(esa)],[zf_stmt_1]) ).

thf(zip_derived_cl79,plain,
    ( ( descr @ sk__7 )
   != ( descr @ sk__9 ) ),
    inference(ho_norm,[status(thm)],[zip_derived_cl8]) ).

thf(zip_derived_cl80,plain,
    ( ( ^ [Y0: $i] : ( sk__9 @ Y0 ) )
   != ( ^ [Y0: $i] : ( sk__7 @ Y0 ) ) ),
    inference(ext_eqres,[status(thm)],[zip_derived_cl79]) ).

thf(zip_derived_cl81,plain,
    sk__9 != sk__7,
    inference(ho_norm,[status(thm)],[zip_derived_cl80]) ).

thf(zip_derived_cl82,plain,
    ( ( sk__9 @ '#sk88' )
   != ( sk__7 @ '#sk88' ) ),
    inference(neg_ext,[status(thm)],[zip_derived_cl81]) ).

thf(zip_derived_cl86,plain,
    ( ~ ( sk__7 @ '#sk88' )
    | ~ ( sk__9 @ '#sk88' ) ),
    inference(cnf_otf,[status(thm)],[zip_derived_cl82]) ).

thf(zip_derived_cl85,plain,
    ( ( sk__7 @ '#sk88' )
    | ( sk__9 @ '#sk88' ) ),
    inference(cnf_otf,[status(thm)],[zip_derived_cl82]) ).

thf(zip_derived_cl4,plain,
    ! [X3: $i,X4: $i] :
      ( ~ ( sk__9 @ X3 )
      | ( sk__7 @ X4 )
      | ( X4 != X3 ) ),
    inference(cnf,[status(esa)],[zf_stmt_1]) ).

thf(zip_derived_cl215,plain,
    ! [X3: $i] :
      ( ( sk__7 @ X3 )
      | ~ ( sk__9 @ X3 ) ),
    inference(simplify,[status(thm)],[zip_derived_cl4]) ).

thf(zip_derived_cl218,plain,
    ( ( sk__7 @ '#sk88' )
    | ( sk__7 @ '#sk88' ) ),
    inference('sup-',[status(thm)],[zip_derived_cl85,zip_derived_cl215]) ).

thf(zip_derived_cl224,plain,
    sk__7 @ '#sk88',
    inference(simplify,[status(thm)],[zip_derived_cl218]) ).

thf(zip_derived_cl228,plain,
    ~ ( sk__9 @ '#sk88' ),
    inference(demod,[status(thm)],[zip_derived_cl86,zip_derived_cl224]) ).

thf(zip_derived_cl275,plain,
    ~ ( sk__7 @ '#sk88' ),
    inference('sup-',[status(thm)],[zip_derived_cl274,zip_derived_cl228]) ).

thf(zip_derived_cl224_001,plain,
    sk__7 @ '#sk88',
    inference(simplify,[status(thm)],[zip_derived_cl218]) ).

thf(zip_derived_cl295,plain,
    $false,
    inference(demod,[status(thm)],[zip_derived_cl275,zip_derived_cl224]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13  % Problem  : SEU557^2 : TPTP v9.2.0. Bugfixed v5.2.0.
% 0.07/0.14  % Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.8GFpKg6fgF true
% 0.14/0.35  % Computer : n031.cluster.edu
% 0.14/0.35  % Model    : x86_64 x86_64
% 0.14/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35  % Memory   : 8042.1875MB
% 0.14/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35  % CPULimit : 300
% 0.14/0.35  % WCLimit  : 300
% 0.14/0.35  % DateTime : Wed Oct  1 16:06:53 EDT 2025
% 0.14/0.36  % CPUTime  : 
% 0.14/0.36  % Running portfolio for 300 s
% 0.14/0.36  % File         : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.14/0.36  % Number of cores: 8
% 0.14/0.36  % Python version: Python 3.6.8
% 0.14/0.36  % Running in HO mode
% 0.55/0.65  % Total configuration time : 828
% 0.55/0.65  % Estimated wc time : 1656
% 0.55/0.65  % Estimated cpu time (8 cpus) : 207.0
% 0.57/0.77  % /export/starexec/sandbox2/solver/bin/lams/40_c.s.sh running for 80s
% 0.57/0.77  % /export/starexec/sandbox2/solver/bin/lams/15_e_short1.sh running for 30s
% 0.57/0.77  % /export/starexec/sandbox2/solver/bin/lams/35_full_unif4.sh running for 80s
% 0.57/0.77  % /export/starexec/sandbox2/solver/bin/lams/40_c_ic.sh running for 80s
% 0.57/0.78  % /export/starexec/sandbox2/solver/bin/lams/40_noforms.sh running for 90s
% 0.57/0.78  % /export/starexec/sandbox2/solver/bin/lams/40_b.comb.sh running for 70s
% 0.57/0.81  % /export/starexec/sandbox2/solver/bin/lams/20_acsne_simpl.sh running for 40s
% 0.57/0.82  % /export/starexec/sandbox2/solver/bin/lams/30_sp5.sh running for 60s
% 0.58/0.88  % Solved by lams/40_c.s.sh.
% 0.58/0.88  % done 48 iterations in 0.088s
% 0.58/0.88  % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 0.58/0.88  % SZS output start Refutation
% See solution above
% 0.58/0.88  
% 0.58/0.88  
% 0.58/0.88  % Terminating...
% 0.64/0.98  % Runner terminated.
% 0.64/0.99  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------