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Zipperpin---2.1.9999.THM-Ref.s

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%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : SEV163^5 : 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.4BJEiSgxvs true

% Computer : n005.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 04:57:18 PM UTC 2025

% Result   : Theorem 0.62s 0.84s
% Output   : Refutation 0.62s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    7
%            Number of leaves      :    1
% Syntax   : Number of formulae    :   10 (   6 unt;   0 typ;   0 def)
%            Number of atoms       :   15 (  13 equ;   0 cnn)
%            Maximal formula atoms :    3 (   1 avg)
%            Number of connectives :   60 (   6   ~;   0   |;   0   &;  49   @)
%                                         (   0 <=>;   4  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    5 (   2 avg)
%            Number of types       :    1 (   1 usr)
%            Number of type conns  :   33 (  33   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :    4 (   1 usr;   2 con; 0-2 aty)
%                                         (   1  !!;   0  ??;   0 @@+;   0 @@-)
%            Number of variables   :   63 (  61   ^;   2   !;   0   ?;  63   :)

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

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

thf(cTHM187_pme,conjecture,
    ! [Xp: ( a > a > a ) > a] :
      ( ( Xp
        = ( ^ [Xg: a > a > a] :
              ( Xg
              @ ( Xp
                @ ^ [Xx: a,Xy: a] : Xx )
              @ ( Xp
                @ ^ [Xx: a,Xy: a] : Xy ) ) ) )
     => ( ( ^ [Xg: a > a > a] :
              ( Xg
              @ ( Xp
                @ ^ [Xx: a,Xy: a] : Xx )
              @ ( Xp
                @ ^ [Xx: a,Xy: a] : Xy ) ) )
        = Xp ) ) ).

thf(zf_stmt_0,negated_conjecture,
    ~ ! [Xp: ( a > a > a ) > a] :
        ( ( Xp
          = ( ^ [Xg: a > a > a] :
                ( Xg
                @ ( Xp
                  @ ^ [Xx: a,Xy: a] : Xx )
                @ ( Xp
                  @ ^ [Xx: a,Xy: a] : Xy ) ) ) )
       => ( ( ^ [Xg: a > a > a] :
                ( Xg
                @ ( Xp
                  @ ^ [Xx: a,Xy: a] : Xx )
                @ ( Xp
                  @ ^ [Xx: a,Xy: a] : Xy ) ) )
          = Xp ) ),
    inference('cnf.neg',[status(esa)],[cTHM187_pme]) ).

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

thf(zip_derived_cl3,plain,
    ~ ( ( '#sk1'
        = ( ^ [Y0: a > a > a] :
              ( Y0
              @ ( '#sk1'
                @ ^ [Y1: a,Y2: a] : Y1 )
              @ ( '#sk1'
                @ ^ [Y1: a,Y2: a] : Y2 ) ) ) )
     => ( ( ^ [Y0: a > a > a] :
              ( Y0
              @ ( '#sk1'
                @ ^ [Y1: a,Y2: a] : Y1 )
              @ ( '#sk1'
                @ ^ [Y1: a,Y2: a] : Y2 ) ) )
        = '#sk1' ) ),
    inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl0]) ).

thf(zip_derived_cl5,plain,
    ( ( ^ [Y0: a > a > a] :
          ( Y0
          @ ( '#sk1'
            @ ^ [Y1: a,Y2: a] : Y1 )
          @ ( '#sk1'
            @ ^ [Y1: a,Y2: a] : Y2 ) ) )
   != '#sk1' ),
    inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl3]) ).

thf(zip_derived_cl7,plain,
    ( ( ^ [Y0: a > a > a] :
          ( Y0
          @ ( '#sk1'
            @ ^ [Y1: a,Y2: a] : Y1 )
          @ ( '#sk1'
            @ ^ [Y1: a,Y2: a] : Y2 ) ) )
   != '#sk1' ),
    inference('simplify nested equalities',[status(thm)],[zip_derived_cl5]) ).

thf(zip_derived_cl4,plain,
    ( '#sk1'
    = ( ^ [Y0: a > a > a] :
          ( Y0
          @ ( '#sk1'
            @ ^ [Y1: a,Y2: a] : Y1 )
          @ ( '#sk1'
            @ ^ [Y1: a,Y2: a] : Y2 ) ) ) ),
    inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl3]) ).

thf(zip_derived_cl6,plain,
    ( '#sk1'
    = ( ^ [Y0: a > a > a] :
          ( Y0
          @ ( '#sk1'
            @ ^ [Y1: a,Y2: a] : Y1 )
          @ ( '#sk1'
            @ ^ [Y1: a,Y2: a] : Y2 ) ) ) ),
    inference('simplify nested equalities',[status(thm)],[zip_derived_cl4]) ).

thf(zip_derived_cl10,plain,
    '#sk1' != '#sk1',
    inference(demod,[status(thm)],[zip_derived_cl7,zip_derived_cl6]) ).

thf(zip_derived_cl11,plain,
    $false,
    inference(simplify,[status(thm)],[zip_derived_cl10]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem  : SEV163^5 : TPTP v9.2.0. Released v4.0.0.
% 0.13/0.14  % Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.4BJEiSgxvs true
% 0.14/0.35  % Computer : n005.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 15:39:23 EDT 2025
% 0.14/0.35  % CPUTime  : 
% 0.14/0.35  % Running portfolio for 300 s
% 0.14/0.35  % File         : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.14/0.35  % Number of cores: 8
% 0.14/0.35  % Python version: Python 3.6.8
% 0.14/0.35  % Running in HO mode
% 0.57/0.68  % Total configuration time : 828
% 0.57/0.68  % Estimated wc time : 1656
% 0.57/0.68  % Estimated cpu time (8 cpus) : 207.0
% 0.62/0.81  % /export/starexec/sandbox2/solver/bin/lams/40_c.s.sh running for 80s
% 0.62/0.81  % /export/starexec/sandbox2/solver/bin/lams/40_c_ic.sh running for 80s
% 0.62/0.81  % /export/starexec/sandbox2/solver/bin/lams/35_full_unif4.sh running for 80s
% 0.62/0.81  % /export/starexec/sandbox2/solver/bin/lams/15_e_short1.sh running for 30s
% 0.62/0.81  % /export/starexec/sandbox2/solver/bin/lams/40_noforms.sh running for 90s
% 0.62/0.82  % /export/starexec/sandbox2/solver/bin/lams/40_b.comb.sh running for 70s
% 0.62/0.84  % /export/starexec/sandbox2/solver/bin/lams/20_acsne_simpl.sh running for 40s
% 0.62/0.84  % /export/starexec/sandbox2/solver/bin/lams/30_sp5.sh running for 60s
% 0.62/0.84  % Solved by lams/15_e_short1.sh.
% 0.62/0.84  % done 1 iterations in 0.009s
% 0.62/0.84  % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 0.62/0.84  % SZS output start Refutation
% See solution above
% 0.62/0.84  
% 0.62/0.84  
% 0.62/0.84  % Terminating...
% 1.91/0.91  % Runner terminated.
% 1.91/0.93  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------