TSTP Solution File: SEU160+1 by Zipperpin---2.1.9999

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : SEU160+1 : TPTP v8.1.2. Released v3.3.0.
% Transfm  : NO INFORMATION
% Format   : NO INFORMATION
% Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.xMIvfyc9pM true

% Computer : n017.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 Aug 31 19:10:53 EDT 2023

% Result   : Theorem 0.21s 0.68s
% Output   : Refutation 0.21s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   12
%            Number of leaves      :    8
% Syntax   : Number of formulae    :   27 (   7 unt;   5 typ;   0 def)
%            Number of atoms       :   44 (  28 equ;   0 cnn)
%            Maximal formula atoms :    3 (   2 avg)
%            Number of connectives :   89 (  15   ~;  19   |;   0   &;  52   @)
%                                         (   3 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    8 (   4 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :    3 (   3   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :    7 (   5 usr;   4 con; 0-2 aty)
%            Number of variables   :   15 (   0   ^;  15   !;   0   ?;  15   :)

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

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

thf(empty_set_type,type,
    empty_set: $i ).

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

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

thf(l4_zfmisc_1,axiom,
    ! [A: $i,B: $i] :
      ( ( subset @ A @ ( singleton @ B ) )
    <=> ( ( A = empty_set )
        | ( A
          = ( singleton @ B ) ) ) ) ).

thf(zip_derived_cl10,plain,
    ! [X0: $i,X1: $i] :
      ( ( subset @ X0 @ ( singleton @ X1 ) )
      | ( X0 != empty_set ) ),
    inference(cnf,[status(esa)],[l4_zfmisc_1]) ).

thf(t39_zfmisc_1,conjecture,
    ! [A: $i,B: $i] :
      ( ( subset @ A @ ( singleton @ B ) )
    <=> ( ( A = empty_set )
        | ( A
          = ( singleton @ B ) ) ) ) ).

thf(zf_stmt_0,negated_conjecture,
    ~ ! [A: $i,B: $i] :
        ( ( subset @ A @ ( singleton @ B ) )
      <=> ( ( A = empty_set )
          | ( A
            = ( singleton @ B ) ) ) ),
    inference('cnf.neg',[status(esa)],[t39_zfmisc_1]) ).

thf(zip_derived_cl7,plain,
    ( ( sk__2 != empty_set )
    | ~ ( subset @ sk__2 @ ( singleton @ sk__3 ) ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl6,plain,
    ( ( sk__2
      = ( singleton @ sk__3 ) )
    | ( sk__2 = empty_set )
    | ( subset @ sk__2 @ ( singleton @ sk__3 ) ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl10_001,plain,
    ! [X0: $i,X1: $i] :
      ( ( subset @ X0 @ ( singleton @ X1 ) )
      | ( X0 != empty_set ) ),
    inference(cnf,[status(esa)],[l4_zfmisc_1]) ).

thf(zip_derived_cl80,plain,
    ( ( subset @ sk__2 @ ( singleton @ sk__3 ) )
    | ( sk__2
      = ( singleton @ sk__3 ) ) ),
    inference(clc,[status(thm)],[zip_derived_cl6,zip_derived_cl10]) ).

thf(zip_derived_cl9,plain,
    ! [X0: $i,X1: $i] :
      ( ( X1
        = ( singleton @ X0 ) )
      | ( X1 = empty_set )
      | ~ ( subset @ X1 @ ( singleton @ X0 ) ) ),
    inference(cnf,[status(esa)],[l4_zfmisc_1]) ).

thf(zip_derived_cl84,plain,
    ( ( sk__2
      = ( singleton @ sk__3 ) )
    | ( sk__2
      = ( singleton @ sk__3 ) )
    | ( sk__2 = empty_set ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl80,zip_derived_cl9]) ).

thf(zip_derived_cl85,plain,
    ( ( sk__2 = empty_set )
    | ( sk__2
      = ( singleton @ sk__3 ) ) ),
    inference(simplify,[status(thm)],[zip_derived_cl84]) ).

thf(zip_derived_cl8,plain,
    ( ( sk__2
     != ( singleton @ sk__3 ) )
    | ~ ( subset @ sk__2 @ ( singleton @ sk__3 ) ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl89,plain,
    ( ( sk__2 = empty_set )
    | ( sk__2 != sk__2 )
    | ~ ( subset @ sk__2 @ sk__2 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl85,zip_derived_cl8]) ).

thf(reflexivity_r1_tarski,axiom,
    ! [A: $i,B: $i] : ( subset @ A @ A ) ).

thf(zip_derived_cl2,plain,
    ! [X0: $i] : ( subset @ X0 @ X0 ),
    inference(cnf,[status(esa)],[reflexivity_r1_tarski]) ).

thf(zip_derived_cl91,plain,
    ( ( sk__2 = empty_set )
    | ( sk__2 != sk__2 ) ),
    inference(demod,[status(thm)],[zip_derived_cl89,zip_derived_cl2]) ).

thf(zip_derived_cl92,plain,
    sk__2 = empty_set,
    inference(simplify,[status(thm)],[zip_derived_cl91]) ).

thf(zip_derived_cl92_002,plain,
    sk__2 = empty_set,
    inference(simplify,[status(thm)],[zip_derived_cl91]) ).

thf(zip_derived_cl95,plain,
    ( ( empty_set != empty_set )
    | ~ ( subset @ empty_set @ ( singleton @ sk__3 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl7,zip_derived_cl92,zip_derived_cl92]) ).

thf(zip_derived_cl96,plain,
    ~ ( subset @ empty_set @ ( singleton @ sk__3 ) ),
    inference(simplify,[status(thm)],[zip_derived_cl95]) ).

thf(zip_derived_cl99,plain,
    empty_set != empty_set,
    inference('s_sup-',[status(thm)],[zip_derived_cl10,zip_derived_cl96]) ).

thf(zip_derived_cl101,plain,
    $false,
    inference(simplify,[status(thm)],[zip_derived_cl99]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem  : SEU160+1 : TPTP v8.1.2. Released v3.3.0.
% 0.00/0.13  % Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.xMIvfyc9pM true
% 0.13/0.34  % Computer : n017.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
% 0.13/0.35  % CPULimit : 300
% 0.13/0.35  % WCLimit  : 300
% 0.13/0.35  % DateTime : Wed Aug 23 19:56:09 EDT 2023
% 0.13/0.35  % CPUTime  : 
% 0.13/0.35  % Running portfolio for 300 s
% 0.13/0.35  % File         : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.13/0.35  % Number of cores: 8
% 0.13/0.35  % Python version: Python 3.6.8
% 0.13/0.35  % Running in FO mode
% 0.21/0.59  % Total configuration time : 435
% 0.21/0.59  % Estimated wc time : 1092
% 0.21/0.59  % Estimated cpu time (7 cpus) : 156.0
% 0.21/0.65  % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.21/0.66  % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.21/0.68  % Solved by fo/fo6_bce.sh.
% 0.21/0.68  % BCE start: 12
% 0.21/0.68  % BCE eliminated: 0
% 0.21/0.68  % PE start: 12
% 0.21/0.68  logic: eq
% 0.21/0.68  % PE eliminated: 1
% 0.21/0.68  % done 14 iterations in 0.009s
% 0.21/0.68  % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 0.21/0.68  % SZS output start Refutation
% See solution above
% 0.21/0.68  
% 0.21/0.68  
% 0.21/0.68  % Terminating...
% 1.21/0.80  % Runner terminated.
% 1.38/0.82  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------