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Zipperpin---2.1.9999.THM-Ref.s

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%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : SEU564^2 : TPTP v9.2.0. Released v3.7.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.DRSdYYTLxz true

% Computer : n028.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 04:55:05 PM UTC 2025

% Result   : Theorem 0.92s 0.75s
% Output   : Refutation 0.92s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    4
%            Number of leaves      :    4
% Syntax   : Number of formulae    :   11 (   7 unt;   0 typ;   0 def)
%            Number of atoms       :   29 (   3 equ;   0 cnn)
%            Maximal formula atoms :    4 (   2 avg)
%            Number of connectives :   60 (   4   ~;   1   |;   0   &;  44   @)
%                                         (   0 <=>;  11  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   10 (   4 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :    0 (   0   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :    7 (   5 usr;   4 con; 0-2 aty)
%            Number of variables   :   21 (   6   ^;  15   !;   0   ?;  21   :)

% Comments : 
%------------------------------------------------------------------------------
thf(in_type,type,
    in: $i > $i > $o ).

thf(sk__2_type,type,
    sk__2: $i ).

thf(subset_type,type,
    subset: $i > $i > $o ).

thf(sk__3_type,type,
    sk__3: $i ).

thf(sk__1_type,type,
    sk__1: $i ).

thf(subset,axiom,
    ( subset
    = ( ^ [A: $i,B: $i] :
        ! [Xx: $i] :
          ( ( in @ Xx @ A )
         => ( in @ Xx @ B ) ) ) ) ).

thf('0',plain,
    ( subset
    = ( ^ [A: $i,B: $i] :
        ! [Xx: $i] :
          ( ( in @ Xx @ A )
         => ( in @ Xx @ B ) ) ) ),
    inference(simplify_rw_rule,[status(thm)],[subset]) ).

thf('1',plain,
    ( subset
    = ( ^ [V_1: $i,V_2: $i] :
        ! [X4: $i] :
          ( ( in @ X4 @ V_1 )
         => ( in @ X4 @ V_2 ) ) ) ),
    define([status(thm)]) ).

thf(subsetE,conjecture,
    ! [A: $i,B: $i,Xx: $i] :
      ( ( subset @ A @ B )
     => ( ( in @ Xx @ A )
       => ( in @ Xx @ B ) ) ) ).

thf(zf_stmt_0,conjecture,
    ! [X4: $i,X6: $i,X8: $i] :
      ( ! [X10: $i] :
          ( ( in @ X10 @ X4 )
         => ( in @ X10 @ X6 ) )
     => ( ( in @ X8 @ X4 )
       => ( in @ X8 @ X6 ) ) ) ).

thf(zf_stmt_1,negated_conjecture,
    ~ ! [X4: $i,X6: $i,X8: $i] :
        ( ! [X10: $i] :
            ( ( in @ X10 @ X4 )
           => ( in @ X10 @ X6 ) )
       => ( ( in @ X8 @ X4 )
         => ( in @ X8 @ X6 ) ) ),
    inference('cnf.neg',[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl2,plain,
    ! [X0: $i] :
      ( ( in @ X0 @ sk__2 )
      | ~ ( in @ X0 @ sk__1 ) ),
    inference(cnf,[status(esa)],[zf_stmt_1]) ).

thf(zip_derived_cl1,plain,
    ~ ( in @ sk__3 @ sk__2 ),
    inference(cnf,[status(esa)],[zf_stmt_1]) ).

thf(zip_derived_cl3,plain,
    ~ ( in @ sk__3 @ sk__1 ),
    inference('sup-',[status(thm)],[zip_derived_cl2,zip_derived_cl1]) ).

thf(zip_derived_cl0,plain,
    in @ sk__3 @ sk__1,
    inference(cnf,[status(esa)],[zf_stmt_1]) ).

thf(zip_derived_cl5,plain,
    $false,
    inference(demod,[status(thm)],[zip_derived_cl3,zip_derived_cl0]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.14  % Problem  : SEU564^2 : TPTP v9.2.0. Released v3.7.0.
% 0.07/0.15  % Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.DRSdYYTLxz true
% 0.14/0.36  % Computer : n028.cluster.edu
% 0.14/0.36  % Model    : x86_64 x86_64
% 0.14/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36  % Memory   : 8042.1875MB
% 0.14/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36  % CPULimit : 300
% 0.14/0.36  % WCLimit  : 300
% 0.14/0.36  % DateTime : Wed Oct  1 16:13:38 EDT 2025
% 0.14/0.36  % CPUTime  : 
% 0.14/0.36  % Running portfolio for 300 s
% 0.14/0.36  % File         : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.14/0.36  % Number of cores: 8
% 0.14/0.36  % Python version: Python 3.6.8
% 0.14/0.37  % Running in HO mode
% 0.66/0.65  % Total configuration time : 828
% 0.66/0.65  % Estimated wc time : 1656
% 0.66/0.65  % Estimated cpu time (8 cpus) : 207.0
% 0.92/0.72  % /export/starexec/sandbox2/solver/bin/lams/40_c.s.sh running for 80s
% 0.92/0.72  % /export/starexec/sandbox2/solver/bin/lams/35_full_unif4.sh running for 80s
% 0.92/0.72  % /export/starexec/sandbox2/solver/bin/lams/15_e_short1.sh running for 30s
% 0.92/0.72  % /export/starexec/sandbox2/solver/bin/lams/40_c_ic.sh running for 80s
% 0.92/0.72  % /export/starexec/sandbox2/solver/bin/lams/40_noforms.sh running for 90s
% 0.92/0.73  % /export/starexec/sandbox2/solver/bin/lams/40_b.comb.sh running for 70s
% 0.92/0.74  % /export/starexec/sandbox2/solver/bin/lams/30_sp5.sh running for 60s
% 0.92/0.74  % /export/starexec/sandbox2/solver/bin/lams/20_acsne_simpl.sh running for 40s
% 0.92/0.75  % Solved by lams/40_c.s.sh.
% 0.92/0.75  % done 2 iterations in 0.009s
% 0.92/0.75  % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 0.92/0.75  % SZS output start Refutation
% See solution above
% 0.92/0.75  
% 0.92/0.75  
% 0.92/0.75  % Terminating...
% 1.88/0.85  % Runner terminated.
% 1.88/0.87  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------