TSTP Solution File: SEU143+1 by Zipperpin---2.1.9999

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : SEU143+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.LGCeuj9qMo true

% Computer : n003.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 19:10:43 EDT 2023

% Result   : Theorem 0.21s 0.74s
% Output   : Refutation 0.21s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    5
%            Number of leaves      :    7
% Syntax   : Number of formulae    :   16 (   7 unt;   4 typ;   0 def)
%            Number of atoms       :   19 (  10 equ;   0 cnn)
%            Maximal formula atoms :    3 (   1 avg)
%            Number of connectives :   40 (  10   ~;   4   |;   0   &;  23   @)
%                                         (   3 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    8 (   5 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :    3 (   3   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :    6 (   4 usr;   3 con; 0-2 aty)
%            Number of variables   :   16 (   0   ^;  16   !;   0   ?;  16   :)

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

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

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

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

thf(l1_zfmisc_1,conjecture,
    ! [A: $i] :
      ( ( singleton @ A )
     != empty_set ) ).

thf(zf_stmt_0,negated_conjecture,
    ~ ! [A: $i] :
        ( ( singleton @ A )
       != empty_set ),
    inference('cnf.neg',[status(esa)],[l1_zfmisc_1]) ).

thf(zip_derived_cl10,plain,
    ( ( singleton @ sk__2 )
    = empty_set ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(d1_tarski,axiom,
    ! [A: $i,B: $i] :
      ( ( B
        = ( singleton @ A ) )
    <=> ! [C: $i] :
          ( ( in @ C @ B )
        <=> ( C = A ) ) ) ).

thf(zip_derived_cl1,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( X1 != X0 )
      | ( in @ X1 @ X2 )
      | ( X2
       != ( singleton @ X0 ) ) ),
    inference(cnf,[status(esa)],[d1_tarski]) ).

thf(zip_derived_cl45,plain,
    ! [X0: $i,X1: $i] :
      ( ( X0
       != ( singleton @ X1 ) )
      | ( in @ X1 @ X0 ) ),
    inference(eq_res,[status(thm)],[zip_derived_cl1]) ).

thf(zip_derived_cl52,plain,
    ! [X0: $i] : ( in @ X0 @ ( singleton @ X0 ) ),
    inference(eq_res,[status(thm)],[zip_derived_cl45]) ).

thf(zip_derived_cl61,plain,
    in @ sk__2 @ empty_set,
    inference('s_sup+',[status(thm)],[zip_derived_cl10,zip_derived_cl52]) ).

thf(d1_xboole_0,axiom,
    ! [A: $i] :
      ( ( A = empty_set )
    <=> ! [B: $i] :
          ~ ( in @ B @ A ) ) ).

thf(zip_derived_cl5,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( in @ X0 @ X1 )
      | ( X1 != empty_set ) ),
    inference(cnf,[status(esa)],[d1_xboole_0]) ).

thf(zip_derived_cl44,plain,
    ! [X0: $i] :
      ~ ( in @ X0 @ empty_set ),
    inference(eq_res,[status(thm)],[zip_derived_cl5]) ).

thf(zip_derived_cl64,plain,
    $false,
    inference('s_sup-',[status(thm)],[zip_derived_cl61,zip_derived_cl44]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem  : SEU143+1 : TPTP v8.1.2. Released v3.3.0.
% 0.13/0.13  % Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.LGCeuj9qMo true
% 0.14/0.34  % Computer : n003.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 Aug 23 23:40:52 EDT 2023
% 0.14/0.35  % CPUTime  : 
% 0.14/0.35  % Running portfolio for 300 s
% 0.14/0.35  % File         : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.14/0.35  % Number of cores: 8
% 0.14/0.35  % Python version: Python 3.6.8
% 0.14/0.35  % Running in FO mode
% 0.21/0.65  % Total configuration time : 435
% 0.21/0.65  % Estimated wc time : 1092
% 0.21/0.65  % Estimated cpu time (7 cpus) : 156.0
% 0.21/0.70  % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.21/0.73  % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.21/0.74  % Solved by fo/fo6_bce.sh.
% 0.21/0.74  % BCE start: 13
% 0.21/0.74  % BCE eliminated: 0
% 0.21/0.74  % PE start: 13
% 0.21/0.74  logic: eq
% 0.21/0.74  % PE eliminated: 1
% 0.21/0.74  % done 20 iterations in 0.010s
% 0.21/0.74  % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 0.21/0.74  % SZS output start Refutation
% See solution above
% 0.21/0.74  
% 0.21/0.74  
% 0.21/0.74  % Terminating...
% 0.21/0.77  % Runner terminated.
% 1.06/0.78  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------