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Zipperpin---2.1.9999.THM-Ref.s

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%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : SYO553^1 : TPTP v9.2.0. Released v5.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.cQZbWo0lMn 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 05:07:55 PM UTC 2025

% Result   : Theorem 0.54s 0.73s
% Output   : Refutation 0.54s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    7
%            Number of leaves      :    1
% Syntax   : Number of formulae    :    8 (   5 unt;   0 typ;   0 def)
%            Number of atoms       :   14 (   7 equ;   0 cnn)
%            Maximal formula atoms :    4 (   1 avg)
%            Number of connectives :   39 (   6   ~;   0   |;   0   &;  27   @)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    8 (   5 avg)
%            Number of types       :    1 (   0 usr)
%            Number of type conns  :   14 (  14   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :    6 (   2 usr;   3 con; 0-2 aty)
%                                         (   5  !!;   1  ??;   0 @@+;   0 @@-)
%            Number of variables   :   16 (   6   ^;   8   !;   2   ?;  16   :)

% Comments : 
%------------------------------------------------------------------------------
thf('#sk3_type',type,
    '#sk3': ( $i > $i > $i ) > $i ).

thf('#sk7_type',type,
    '#sk7': ( $i > $i > $i ) > $i ).

thf(claim,conjecture,
    ? [F: $i > $i > $i] :
    ! [X: $i,Y: $i] :
      ( ( F @ X @ Y )
      = Y ) ).

thf(zf_stmt_0,negated_conjecture,
    ~ ? [F: $i > $i > $i] :
      ! [X: $i,Y: $i] :
        ( ( F @ X @ Y )
        = Y ),
    inference('cnf.neg',[status(esa)],[claim]) ).

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

thf(zip_derived_cl1,plain,
    ! [X2: $i > $i > $i] :
      ~ ( !!
        @ ^ [Y0: $i] :
            ( !!
            @ ^ [Y1: $i] :
                ( ( X2 @ Y0 @ Y1 )
                = Y1 ) ) ),
    inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl0]) ).

thf(zip_derived_cl2,plain,
    ! [X2: $i > $i > $i] :
      ~ ( !!
        @ ^ [Y0: $i] :
            ( ( X2 @ ( '#sk3' @ X2 ) @ Y0 )
            = Y0 ) ),
    inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl1]) ).

thf(zip_derived_cl3,plain,
    ! [X2: $i > $i > $i] :
      ( ( X2 @ ( '#sk3' @ X2 ) @ ( '#sk7' @ X2 ) )
     != ( '#sk7' @ X2 ) ),
    inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl2]) ).

thf(zip_derived_cl4,plain,
    ! [X2: $i > $i > $i] :
      ( ( X2 @ ( '#sk3' @ X2 ) @ ( '#sk7' @ X2 ) )
     != ( '#sk7' @ X2 ) ),
    inference('simplify nested equalities',[status(thm)],[zip_derived_cl3]) ).

thf(zip_derived_cl5,plain,
    $false,
    inference(eq_res,[status(thm)],[zip_derived_cl4]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : SYO553^1 : TPTP v9.2.0. Released v5.2.0.
% 0.07/0.13  % Command  : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.cQZbWo0lMn true
% 0.13/0.34  % Computer : n005.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 17:50:08 EDT 2025
% 0.13/0.34  % CPUTime  : 
% 0.13/0.34  % Running portfolio for 300 s
% 0.13/0.34  % File         : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.13/0.34  % Number of cores: 8
% 0.13/0.34  % Python version: Python 3.6.8
% 0.13/0.35  % Running in HO mode
% 0.54/0.65  % Total configuration time : 828
% 0.54/0.65  % Estimated wc time : 1656
% 0.54/0.65  % Estimated cpu time (8 cpus) : 207.0
% 0.54/0.69  % /export/starexec/sandbox/solver/bin/lams/40_c.s.sh running for 80s
% 0.54/0.70  % /export/starexec/sandbox/solver/bin/lams/35_full_unif4.sh running for 80s
% 0.54/0.72  % /export/starexec/sandbox/solver/bin/lams/40_c_ic.sh running for 80s
% 0.54/0.73  % Solved by lams/35_full_unif4.sh.
% 0.54/0.73  % done 0 iterations in 0.008s
% 0.54/0.73  % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 0.54/0.73  % SZS output start Refutation
% See solution above
% 0.54/0.73  
% 0.54/0.73  
% 0.54/0.73  % Terminating...
% 0.54/0.76  % Runner terminated.
% 1.55/0.77  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------