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Zipperpin---2.1.9999.THM-Ref.s

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%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : SEU139+2 : TPTP v9.2.0. Released v3.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.afHgyIaiv3 true

% Computer : n019.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 04:53:32 PM UTC 2025

% Result   : Theorem 0.64s 0.81s
% Output   : Refutation 0.64s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    5
%            Number of leaves      :    3
% Syntax   : Number of formulae    :   15 (   7 unt;   0 typ;   0 def)
%            Number of atoms       :   26 (   7 equ;   0 cnn)
%            Maximal formula atoms :    3 (   1 avg)
%            Number of connectives :   58 (  11   ~;   5   |;   4   &;  36   @)
%                                         (   2 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    8 (   5 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :    0 (   0   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :    6 (   4 usr;   3 con; 0-2 aty)
%            Number of variables   :   14 (   0   ^;  14   !;   0   ?;  14   :)

% Comments : 
%------------------------------------------------------------------------------
thf(sk__11_type,type,
    sk__11: $i ).

thf(proper_subset_type,type,
    proper_subset: $i > $i > $o ).

thf(sk__10_type,type,
    sk__10: $i ).

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

thf(t60_xboole_1,conjecture,
    ! [A: $i,B: $i] :
      ~ ( ( subset @ A @ B )
        & ( proper_subset @ B @ A ) ) ).

thf(zf_stmt_0,negated_conjecture,
    ~ ! [A: $i,B: $i] :
        ~ ( ( subset @ A @ B )
          & ( proper_subset @ B @ A ) ),
    inference('cnf.neg',[status(esa)],[t60_xboole_1]) ).

thf(zip_derived_cl79,plain,
    subset @ sk__10 @ sk__11,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(d10_xboole_0,axiom,
    ! [A: $i,B: $i] :
      ( ( A = B )
    <=> ( ( subset @ A @ B )
        & ( subset @ B @ A ) ) ) ).

thf(zip_derived_cl6,plain,
    ! [X0: $i,X1: $i] :
      ( ( X1 = X0 )
      | ~ ( subset @ X0 @ X1 )
      | ~ ( subset @ X1 @ X0 ) ),
    inference(cnf,[status(esa)],[d10_xboole_0]) ).

thf(zip_derived_cl127,plain,
    ( ( sk__11 = sk__10 )
    | ~ ( subset @ sk__11 @ sk__10 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl79,zip_derived_cl6]) ).

thf(zip_derived_cl78,plain,
    proper_subset @ sk__11 @ sk__10,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(d8_xboole_0,axiom,
    ! [A: $i,B: $i] :
      ( ( proper_subset @ A @ B )
    <=> ( ( subset @ A @ B )
        & ( A != B ) ) ) ).

thf(zip_derived_cl32,plain,
    ! [X0: $i,X1: $i] :
      ( ( subset @ X0 @ X1 )
      | ~ ( proper_subset @ X0 @ X1 ) ),
    inference(cnf,[status(esa)],[d8_xboole_0]) ).

thf(zip_derived_cl101,plain,
    subset @ sk__11 @ sk__10,
    inference('s_sup-',[status(thm)],[zip_derived_cl78,zip_derived_cl32]) ).

thf(zip_derived_cl130,plain,
    sk__11 = sk__10,
    inference(demod,[status(thm)],[zip_derived_cl127,zip_derived_cl101]) ).

thf(zip_derived_cl78_001,plain,
    proper_subset @ sk__11 @ sk__10,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl33,plain,
    ! [X0: $i,X1: $i] :
      ( ( X1 != X0 )
      | ~ ( proper_subset @ X1 @ X0 ) ),
    inference(cnf,[status(esa)],[d8_xboole_0]) ).

thf(zip_derived_cl95,plain,
    sk__11 != sk__10,
    inference('s_sup-',[status(thm)],[zip_derived_cl78,zip_derived_cl33]) ).

thf(zip_derived_cl131,plain,
    $false,
    inference('simplify_reflect-',[status(thm)],[zip_derived_cl130,zip_derived_cl95]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : SEU139+2 : TPTP v9.2.0. Released v3.3.0.
% 0.07/0.13  % Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.afHgyIaiv3 true
% 0.13/0.34  % Computer : n019.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 16:01:38 EDT 2025
% 0.13/0.34  % CPUTime  : 
% 0.13/0.34  % Running portfolio for 300 s
% 0.13/0.34  % File         : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.13/0.34  % Number of cores: 8
% 0.13/0.35  % Python version: Python 3.6.8
% 0.13/0.35  % Running in FO mode
% 0.62/0.67  % Total configuration time : 435
% 0.62/0.67  % Estimated wc time : 1092
% 0.62/0.67  % Estimated cpu time (7 cpus) : 156.0
% 0.64/0.75  % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.64/0.76  % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.64/0.76  % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.64/0.76  % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.64/0.76  % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.64/0.77  % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.64/0.79  % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 0.64/0.81  % Solved by fo/fo1_av.sh.
% 0.64/0.81  % done 49 iterations in 0.027s
% 0.64/0.81  % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 0.64/0.81  % SZS output start Refutation
% See solution above
% 0.64/0.81  
% 0.64/0.81  
% 0.64/0.81  % Terminating...
% 0.85/0.86  % Runner terminated.
% 0.85/0.88  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------