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Zipperpin---2.1.9999.THM-Ref.s

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%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : SET883+1 : TPTP v9.2.0. Released v3.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.qJC7vAMHjn 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 04:53:05 PM UTC 2025

% Result   : Theorem 0.57s 0.73s
% Output   : Refutation 0.57s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    6
%            Number of leaves      :    2
% Syntax   : Number of formulae    :   10 (   4 unt;   0 typ;   0 def)
%            Number of atoms       :   17 (  11 equ;   0 cnn)
%            Maximal formula atoms :    3 (   1 avg)
%            Number of connectives :   39 (   6   ~;   4   |;   0   &;  26   @)
%                                         (   0 <=>;   3  =>;   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   :   11 (   0   ^;  11   !;   0   ?;  11   :)

% Comments : 
%------------------------------------------------------------------------------
thf(singleton_type,type,
    singleton: $i > $i ).

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

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

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

thf(t24_zfmisc_1,conjecture,
    ! [A: $i,B: $i] :
      ( ( subset @ ( singleton @ A ) @ ( singleton @ B ) )
     => ( A = B ) ) ).

thf(zf_stmt_0,negated_conjecture,
    ~ ! [A: $i,B: $i] :
        ( ( subset @ ( singleton @ A ) @ ( singleton @ B ) )
       => ( A = B ) ),
    inference('cnf.neg',[status(esa)],[t24_zfmisc_1]) ).

thf(zip_derived_cl3,plain,
    subset @ ( singleton @ sk__2 ) @ ( singleton @ sk__3 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(t6_zfmisc_1,axiom,
    ! [A: $i,B: $i] :
      ( ( subset @ ( singleton @ A ) @ ( singleton @ B ) )
     => ( A = B ) ) ).

thf(zip_derived_cl5,plain,
    ! [X0: $i,X1: $i] :
      ( ( X1 = X0 )
      | ~ ( subset @ ( singleton @ X1 ) @ ( singleton @ X0 ) ) ),
    inference(cnf,[status(esa)],[t6_zfmisc_1]) ).

thf(zip_derived_cl24,plain,
    ! [X0: $i,X1: $i] :
      ( ( ( singleton @ sk__2 )
       != ( singleton @ X0 ) )
      | ( ( singleton @ sk__3 )
       != ( singleton @ X1 ) )
      | ( X0 = X1 ) ),
    inference('dp-resolution',[status(thm)],[zip_derived_cl3,zip_derived_cl5]) ).

thf(zip_derived_cl25,plain,
    ! [X0: $i] :
      ( ( sk__2 = X0 )
      | ( ( singleton @ sk__3 )
       != ( singleton @ X0 ) ) ),
    inference(eq_res,[status(thm)],[zip_derived_cl24]) ).

thf(zip_derived_cl27,plain,
    sk__2 = sk__3,
    inference(eq_res,[status(thm)],[zip_derived_cl25]) ).

thf(zip_derived_cl4,plain,
    sk__2 != sk__3,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl28,plain,
    $false,
    inference('simplify_reflect-',[status(thm)],[zip_derived_cl27,zip_derived_cl4]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12  % Problem  : SET883+1 : TPTP v9.2.0. Released v3.2.0.
% 0.06/0.13  % Command  : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.qJC7vAMHjn true
% 0.14/0.34  % Computer : n028.cluster.edu
% 0.14/0.34  % Model    : x86_64 x86_64
% 0.14/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34  % Memory   : 8042.1875MB
% 0.14/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34  % CPULimit : 300
% 0.14/0.34  % WCLimit  : 300
% 0.14/0.34  % DateTime : Wed Oct  1 12:58:38 EDT 2025
% 0.14/0.34  % CPUTime  : 
% 0.14/0.34  % Running portfolio for 300 s
% 0.14/0.34  % File         : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.14/0.34  % Number of cores: 8
% 0.14/0.35  % Python version: Python 3.6.8
% 0.14/0.35  % Running in FO mode
% 0.57/0.63  % Total configuration time : 435
% 0.57/0.63  % Estimated wc time : 1092
% 0.57/0.63  % Estimated cpu time (7 cpus) : 156.0
% 0.57/0.70  % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.57/0.73  % Solved by fo/fo6_bce.sh.
% 0.57/0.73  % BCE start: 6
% 0.57/0.73  % BCE eliminated: 0
% 0.57/0.73  % PE start: 6
% 0.57/0.73  logic: eq
% 0.57/0.73  % PE eliminated: 2
% 0.57/0.73  % done 4 iterations in 0.008s
% 0.57/0.73  % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 0.57/0.73  % SZS output start Refutation
% See solution above
% 0.57/0.73  
% 0.57/0.73  
% 0.57/0.73  % Terminating...
% 0.62/0.85  % Runner terminated.
% 1.53/0.86  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------