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Zipperpin---2.1.9999.THM-Ref.s

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%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : SYO363^5 : 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.pty9StQFhy true

% Computer : n009.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 05:07:18 PM UTC 2025

% Result   : Theorem 0.55s 0.74s
% Output   : Refutation 0.55s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    5
%            Number of leaves      :    1
% Syntax   : Number of formulae    :   10 (   8 unt;   0 typ;   0 def)
%            Number of atoms       :   12 (   8 equ;   0 cnn)
%            Maximal formula atoms :    2 (   1 avg)
%            Number of connectives :   42 (   2   ~;   0   |;   2   &;  34   @)
%                                         (   0 <=>;   4  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    7 (   3 avg)
%            Number of types       :    2 (   1 usr)
%            Number of type conns  :    8 (   8   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :    7 (   5 usr;   1 con; 0-2 aty)
%            Number of variables   :   12 (   0   ^;  12   !;   0   ?;  12   :)

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

thf(f_type,type,
    f: ( a > a ) > a > a ).

thf(g_type,type,
    g: ( a > a ) > a > a ).

thf(sk__type,type,
    sk_: ( a > a ) > $o ).

thf(h_type,type,
    h: a > a ).

thf(j_type,type,
    j: a > a ).

thf(cEDEC2_pme,conjecture,
    ( ( ! [X: a > a,Y: a] :
          ( ( f @ X @ Y )
          = ( g @ X @ Y ) )
      & ! [Z: a] :
          ( ( h @ Z )
          = ( j @ Z ) ) )
   => ! [Xq: ( a > a ) > $o] :
        ( ( Xq @ ( f @ h ) )
       => ( Xq @ ( g @ j ) ) ) ) ).

thf(zf_stmt_0,negated_conjecture,
    ~ ( ( ! [X: a > a,Y: a] :
            ( ( f @ X @ Y )
            = ( g @ X @ Y ) )
        & ! [Z: a] :
            ( ( h @ Z )
            = ( j @ Z ) ) )
     => ! [Xq: ( a > a ) > $o] :
          ( ( Xq @ ( f @ h ) )
         => ( Xq @ ( g @ j ) ) ) ),
    inference('cnf.neg',[status(esa)],[cEDEC2_pme]) ).

thf(zip_derived_cl3,plain,
    sk_ @ ( f @ h ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl1,plain,
    ! [X2: a] :
      ( ( h @ X2 )
      = ( j @ X2 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl4,plain,
    h = j,
    inference(ho_ext_pos_general,[status(thm)],[zip_derived_cl1]) ).

thf(zip_derived_cl6,plain,
    sk_ @ ( f @ j ),
    inference(demod,[status(thm)],[zip_derived_cl3,zip_derived_cl4]) ).

thf(zip_derived_cl0,plain,
    ! [X0: a > a,X1: a] :
      ( ( f @ X0 @ X1 )
      = ( g @ X0 @ X1 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl7,plain,
    ! [X0: a > a] :
      ( ( f @ X0 )
      = ( g @ X0 ) ),
    inference(ho_ext_pos_general,[status(thm)],[zip_derived_cl0]) ).

thf(zip_derived_cl2,plain,
    ~ ( sk_ @ ( g @ j ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl11,plain,
    $false,
    inference(demod,[status(thm)],[zip_derived_cl6,zip_derived_cl7,zip_derived_cl2]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12  % Problem  : SYO363^5 : TPTP v9.2.0. Released v4.0.0.
% 0.11/0.13  % Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.pty9StQFhy true
% 0.12/0.33  % Computer : n009.cluster.edu
% 0.12/0.33  % Model    : x86_64 x86_64
% 0.12/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33  % Memory   : 8042.1875MB
% 0.12/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33  % CPULimit : 300
% 0.12/0.33  % WCLimit  : 300
% 0.12/0.33  % DateTime : Wed Oct  1 18:13:23 EDT 2025
% 0.12/0.34  % CPUTime  : 
% 0.12/0.34  % Running portfolio for 300 s
% 0.12/0.34  % File         : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.12/0.34  % Number of cores: 8
% 0.12/0.34  % Python version: Python 3.6.8
% 0.12/0.34  % Running in HO mode
% 0.54/0.66  % Total configuration time : 828
% 0.54/0.66  % Estimated wc time : 1656
% 0.54/0.66  % Estimated cpu time (8 cpus) : 207.0
% 0.54/0.71  % /export/starexec/sandbox2/solver/bin/lams/40_c.s.sh running for 80s
% 0.54/0.71  % /export/starexec/sandbox2/solver/bin/lams/35_full_unif4.sh running for 80s
% 0.54/0.71  % /export/starexec/sandbox2/solver/bin/lams/40_c_ic.sh running for 80s
% 0.54/0.71  % /export/starexec/sandbox2/solver/bin/lams/15_e_short1.sh running for 30s
% 0.55/0.74  % Solved by lams/40_c_ic.sh.
% 0.55/0.74  % done 7 iterations in 0.010s
% 0.55/0.74  % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 0.55/0.74  % SZS output start Refutation
% See solution above
% 0.55/0.74  
% 0.55/0.74  
% 0.55/0.74  % Terminating...
% 0.61/0.85  % Runner terminated.
% 1.70/0.86  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------