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Zipperpin---2.1.9999.THM-Ref.s

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%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : SET617^5 : TPTP v9.2.0. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.52b0bDU2Xa true

% Computer : n002.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 04:52:27 PM UTC 2025

% Result   : Theorem 0.59s 0.76s
% Output   : Refutation 0.59s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    5
%            Number of leaves      :    1
% Syntax   : Number of formulae    :    6 (   1 unt;   0 typ;   0 def)
%            Number of atoms       :   20 (   8 equ;   2 cnn)
%            Maximal formula atoms :    3 (   3 avg)
%            Number of connectives :   46 (  10   ~;   6   |;   9   &;  18   @)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    5 (   4 avg)
%            Number of types       :    2 (   1 usr)
%            Number of type conns  :    5 (   5   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :    4 (   0 usr;   3 con; 0-2 aty)
%                                         (   3  !!;   0  ??;   0 @@+;   0 @@-)
%            Number of variables   :   12 (  10   ^;   2   !;   0   ?;  12   :)

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

thf(cBOOL_PROP_92_pme,conjecture,
    ! [X: a > $o] :
      ( ( ( ^ [Xz: a] :
              ( ( ~ ( X @ Xz )
                & $false )
              | ( X @ Xz ) ) )
        = X )
      & ( ( ^ [Xz: a] :
              ( ( X @ Xz )
              | ( ~ ( X @ Xz )
                & $false ) ) )
        = X ) ) ).

thf(zf_stmt_0,negated_conjecture,
    ~ ! [X: a > $o] :
        ( ( ( ^ [Xz: a] :
                ( ( ~ ( X @ Xz )
                  & $false )
                | ( X @ Xz ) ) )
          = X )
        & ( ( ^ [Xz: a] :
                ( ( X @ Xz )
                | ( ~ ( X @ Xz )
                  & $false ) ) )
          = X ) ),
    inference('cnf.neg',[status(esa)],[cBOOL_PROP_92_pme]) ).

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

thf(zip_derived_cl1,plain,
    ~ ( !!
      @ ^ [Y0: a > $o] :
          ( ( ^ [Y1: a] : ( Y0 @ Y1 ) )
          = Y0 ) ),
    inference('simplify boolean subterms',[status(thm)],[zip_derived_cl0]) ).

thf(zip_derived_cl2,plain,
    ~ ( !!
      @ ^ [Y0: a > $o] : ( Y0 = Y0 ) ),
    inference(ho_norm,[status(thm)],[zip_derived_cl1]) ).

thf(zip_derived_cl3,plain,
    $false,
    inference('simplify boolean subterms',[status(thm)],[zip_derived_cl2]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : SET617^5 : TPTP v9.2.0. Released v4.0.0.
% 0.07/0.14  % Command  : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.52b0bDU2Xa true
% 0.13/0.35  % Computer : n002.cluster.edu
% 0.13/0.35  % Model    : x86_64 x86_64
% 0.13/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35  % Memory   : 8042.1875MB
% 0.13/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35  % CPULimit : 300
% 0.13/0.35  % WCLimit  : 300
% 0.13/0.35  % DateTime : Wed Oct  1 13:00:08 EDT 2025
% 0.13/0.35  % CPUTime  : 
% 0.13/0.35  % Running portfolio for 300 s
% 0.13/0.35  % File         : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.13/0.35  % Number of cores: 8
% 0.13/0.35  % Python version: Python 3.6.8
% 0.13/0.36  % Running in HO mode
% 0.57/0.64  % Total configuration time : 828
% 0.57/0.64  % Estimated wc time : 1656
% 0.57/0.64  % Estimated cpu time (8 cpus) : 207.0
% 0.58/0.73  % /export/starexec/sandbox/solver/bin/lams/40_c.s.sh running for 80s
% 0.58/0.73  % /export/starexec/sandbox/solver/bin/lams/35_full_unif4.sh running for 80s
% 0.59/0.75  % /export/starexec/sandbox/solver/bin/lams/40_c_ic.sh running for 80s
% 0.59/0.75  % /export/starexec/sandbox/solver/bin/lams/15_e_short1.sh running for 30s
% 0.59/0.76  % Solved by lams/35_full_unif4.sh.
% 0.59/0.76  % done 0 iterations in 0.005s
% 0.59/0.76  % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 0.59/0.76  % SZS output start Refutation
% See solution above
% 0.59/0.76  
% 0.59/0.76  
% 0.59/0.76  % Terminating...
% 0.66/0.86  % Runner terminated.
% 0.66/0.87  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------