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Zipperpin---2.1.9999.THM-Ref.s

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%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : SYO042^2 : TPTP v9.2.0. Released v4.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.dTvJ0mac7b 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 05:06:17 PM UTC 2025

% Result   : Theorem 0.55s 0.76s
% Output   : Refutation 0.55s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   16
%            Number of leaves      :    1
% Syntax   : Number of formulae    :   43 (  22 unt;   0 typ;   0 def)
%            Number of atoms       :  158 (  27 equ;   8 cnn)
%            Maximal formula atoms :    8 (   3 avg)
%            Number of connectives :   92 (  29   ~;  16   |;  12   &;  35   @)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    7 (   2 avg)
%            Number of types       :    1 (   0 usr)
%            Number of type conns  :    0 (   0   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :    9 (   5 usr;   6 con; 0-2 aty)
%            Number of variables   :    2 (   2   ^;   0   !;   0   ?;   2   :)

% Comments : 
%------------------------------------------------------------------------------
thf(g_type,type,
    g: $o > $o ).

thf(x_type,type,
    x: $o ).

thf('#sk1_type',type,
    '#sk1': $o ).

thf(y_type,type,
    y: $o ).

thf(p_type,type,
    p: ( $o > $o ) > $o ).

thf(4,conjecture,
    ~ ( ~ ( p @ (~) )
      & ( p @ g )
      & ( ( g @ y )
        = x )
      & ( ( g @ x )
        = y )
      & ( x != y ) ) ).

thf(zf_stmt_0,negated_conjecture,
    ( ~ ( p @ (~) )
    & ( p @ g )
    & ( ( g @ y )
      = x )
    & ( ( g @ x )
      = y )
    & ( x != y ) ),
    inference('cnf.neg',[status(esa)],[4]) ).

thf(zip_derived_cl0,plain,
    ( ( (~) @ ( p @ (~) ) )
    & ( p @ g )
    & ( ( g @ y )
      = x )
    & ( ( g @ x )
      = y )
    & ( x != y ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl5,plain,
    x != y,
    inference(lazy_cnf_and,[status(thm)],[zip_derived_cl0]) ).

thf(zip_derived_cl8,plain,
    x != y,
    inference('simplify nested equalities',[status(thm)],[zip_derived_cl5]) ).

thf(zip_derived_cl8_001,plain,
    x != y,
    inference('simplify nested equalities',[status(thm)],[zip_derived_cl5]) ).

thf(zip_derived_cl9,plain,
    ( x
    | y ),
    inference(eq_elim,[status(thm)],[zip_derived_cl8]) ).

thf(zip_derived_cl3,plain,
    ( ( g @ y )
    = x ),
    inference(lazy_cnf_and,[status(thm)],[zip_derived_cl0]) ).

thf(zip_derived_cl6,plain,
    ( ( g @ y )
    = x ),
    inference('simplify nested equalities',[status(thm)],[zip_derived_cl3]) ).

thf(zip_derived_cl17,plain,
    ( ( ( g @ $true )
      = x )
    | x ),
    inference('sup+',[status(thm)],[zip_derived_cl9,zip_derived_cl6]) ).

thf(zip_derived_cl21,plain,
    ( ~ ( g @ $true )
    | x ),
    inference(local_rewriting,[status(thm)],[zip_derived_cl17]) ).

thf(zip_derived_cl2,plain,
    p @ g,
    inference(lazy_cnf_and,[status(thm)],[zip_derived_cl0]) ).

thf(zip_derived_cl1,plain,
    ~ ( p @ (~) ),
    inference(lazy_cnf_and,[status(thm)],[zip_derived_cl0]) ).

thf(zip_derived_cl15,plain,
    ( ( ^ [Y0: $o] : ( g @ Y0 ) )
   != ( ^ [Y0: $o] : ( (~) @ Y0 ) ) ),
    inference(ext_sup,[status(thm)],[zip_derived_cl2,zip_derived_cl1]) ).

thf(zip_derived_cl16,plain,
    g != (~),
    inference(ho_norm,[status(thm)],[zip_derived_cl15]) ).

thf(zip_derived_cl37,plain,
    ( ( g @ '#sk1' )
   != ( (~) @ '#sk1' ) ),
    inference(neg_ext,[status(thm)],[zip_derived_cl16]) ).

thf(zip_derived_cl38,plain,
    ( ( g @ '#sk1' )
    = '#sk1' ),
    inference('simplify nested equalities',[status(thm)],[zip_derived_cl37]) ).

thf(zip_derived_cl38_002,plain,
    ( ( g @ '#sk1' )
    = '#sk1' ),
    inference('simplify nested equalities',[status(thm)],[zip_derived_cl37]) ).

thf(zip_derived_cl62,plain,
    ( '#sk1'
    | ~ ( g @ $false ) ),
    inference(bool_hoist,[status(thm)],[zip_derived_cl38]) ).

thf(zip_derived_cl6_003,plain,
    ( ( g @ y )
    = x ),
    inference('simplify nested equalities',[status(thm)],[zip_derived_cl3]) ).

thf(zip_derived_cl20,plain,
    ( y
    | ( ( g @ $false )
      = x ) ),
    inference(bool_hoist,[status(thm)],[zip_derived_cl6]) ).

thf(zip_derived_cl74,plain,
    ( ~ x
    | '#sk1'
    | y ),
    inference('sup+',[status(thm)],[zip_derived_cl62,zip_derived_cl20]) ).

thf(zip_derived_cl9_004,plain,
    ( x
    | y ),
    inference(eq_elim,[status(thm)],[zip_derived_cl8]) ).

thf(zip_derived_cl89,plain,
    ( y
    | '#sk1' ),
    inference(clc,[status(thm)],[zip_derived_cl74,zip_derived_cl9]) ).

thf(zip_derived_cl8_005,plain,
    x != y,
    inference('simplify nested equalities',[status(thm)],[zip_derived_cl5]) ).

thf(zip_derived_cl93,plain,
    ( ~ x
    | '#sk1' ),
    inference('sup-',[status(thm)],[zip_derived_cl89,zip_derived_cl8]) ).

thf(zip_derived_cl62_006,plain,
    ( '#sk1'
    | ~ ( g @ $false ) ),
    inference(bool_hoist,[status(thm)],[zip_derived_cl38]) ).

thf(zip_derived_cl4,plain,
    ( ( g @ x )
    = y ),
    inference(lazy_cnf_and,[status(thm)],[zip_derived_cl0]) ).

thf(zip_derived_cl7,plain,
    ( ( g @ x )
    = y ),
    inference('simplify nested equalities',[status(thm)],[zip_derived_cl4]) ).

thf(zip_derived_cl26,plain,
    ( x
    | ( ( g @ $false )
      = y ) ),
    inference(bool_hoist,[status(thm)],[zip_derived_cl7]) ).

thf(zip_derived_cl73,plain,
    ( ~ y
    | '#sk1'
    | x ),
    inference('sup+',[status(thm)],[zip_derived_cl62,zip_derived_cl26]) ).

thf(zip_derived_cl9_007,plain,
    ( x
    | y ),
    inference(eq_elim,[status(thm)],[zip_derived_cl8]) ).

thf(zip_derived_cl81,plain,
    ( x
    | '#sk1' ),
    inference(clc,[status(thm)],[zip_derived_cl73,zip_derived_cl9]) ).

thf(zip_derived_cl99,plain,
    '#sk1',
    inference(clc,[status(thm)],[zip_derived_cl93,zip_derived_cl81]) ).

thf(zip_derived_cl99_008,plain,
    '#sk1',
    inference(clc,[status(thm)],[zip_derived_cl93,zip_derived_cl81]) ).

thf(zip_derived_cl100,plain,
    g @ $true,
    inference(demod,[status(thm)],[zip_derived_cl38,zip_derived_cl99,zip_derived_cl99]) ).

thf(zip_derived_cl101,plain,
    x,
    inference(demod,[status(thm)],[zip_derived_cl21,zip_derived_cl100]) ).

thf(zip_derived_cl104,plain,
    ~ y,
    inference(demod,[status(thm)],[zip_derived_cl8,zip_derived_cl101]) ).

thf(zip_derived_cl7_009,plain,
    ( ( g @ x )
    = y ),
    inference('simplify nested equalities',[status(thm)],[zip_derived_cl4]) ).

thf(zip_derived_cl101_010,plain,
    x,
    inference(demod,[status(thm)],[zip_derived_cl21,zip_derived_cl100]) ).

thf(zip_derived_cl100_011,plain,
    g @ $true,
    inference(demod,[status(thm)],[zip_derived_cl38,zip_derived_cl99,zip_derived_cl99]) ).

thf(zip_derived_cl103,plain,
    y,
    inference(demod,[status(thm)],[zip_derived_cl7,zip_derived_cl101,zip_derived_cl100]) ).

thf(zip_derived_cl110,plain,
    $false,
    inference(demod,[status(thm)],[zip_derived_cl104,zip_derived_cl103]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : SYO042^2 : TPTP v9.2.0. Released v4.1.0.
% 0.07/0.14  % Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.dTvJ0mac7b true
% 0.14/0.35  % Computer : n002.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 18:20:08 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
% 0.14/0.36  % Running in HO mode
% 0.54/0.68  % Total configuration time : 828
% 0.54/0.68  % Estimated wc time : 1656
% 0.54/0.68  % Estimated cpu time (8 cpus) : 207.0
% 0.55/0.72  % /export/starexec/sandbox2/solver/bin/lams/40_c.s.sh running for 80s
% 0.55/0.73  % /export/starexec/sandbox2/solver/bin/lams/35_full_unif4.sh running for 80s
% 0.55/0.76  % /export/starexec/sandbox2/solver/bin/lams/40_c_ic.sh running for 80s
% 0.55/0.76  % Solved by lams/35_full_unif4.sh.
% 0.55/0.76  % done 36 iterations in 0.017s
% 0.55/0.76  % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 0.55/0.76  % SZS output start Refutation
% See solution above
% 0.55/0.77  
% 0.55/0.77  
% 0.55/0.77  % Terminating...
% 0.68/0.88  % Runner terminated.
% 0.68/0.89  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------