TSTP Solution File: SEU148+2 by Zipperpin---2.1.9999

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : SEU148+2 : 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.FmT6GFCsk5 true

% Computer : n004.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 19:10:45 EDT 2023

% Result   : Theorem 1.23s 0.77s
% Output   : Refutation 1.23s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    7
%            Number of leaves      :   12
% Syntax   : Number of formulae    :   29 (  11 unt;   7 typ;   0 def)
%            Number of atoms       :   37 (  26 equ;   0 cnn)
%            Maximal formula atoms :    3 (   1 avg)
%            Number of connectives :   76 (  10   ~;   9   |;   0   &;  51   @)
%                                         (   4 <=>;   2  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    8 (   4 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :    6 (   6   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :    9 (   7 usr;   4 con; 0-2 aty)
%            Number of variables   :   25 (   0   ^;  25   !;   0   ?;  25   :)

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

thf(sk__14_type,type,
    sk__14: $i ).

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

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

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

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

thf(sk__13_type,type,
    sk__13: $i ).

thf(t6_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)],[t6_zfmisc_1]) ).

thf(zip_derived_cl108,plain,
    subset @ ( singleton @ sk__13 ) @ ( singleton @ sk__14 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

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

thf(zip_derived_cl69,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_cl573,plain,
    ( ( ( singleton @ sk__13 )
      = ( singleton @ sk__14 ) )
    | ( ( singleton @ sk__13 )
      = empty_set ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl108,zip_derived_cl69]) ).

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

thf(zip_derived_cl63,plain,
    ! [X0: $i] :
      ( ( singleton @ X0 )
     != empty_set ),
    inference(cnf,[status(esa)],[l1_zfmisc_1]) ).

thf(zip_derived_cl577,plain,
    ( ( singleton @ sk__13 )
    = ( singleton @ sk__14 ) ),
    inference('simplify_reflect-',[status(thm)],[zip_derived_cl573,zip_derived_cl63]) ).

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

thf(zip_derived_cl13,plain,
    ! [X0: $i] :
      ( ( X0 = empty_set )
      | ( in @ ( sk__1 @ X0 ) @ X0 ) ),
    inference(cnf,[status(esa)],[d1_xboole_0]) ).

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

thf(zip_derived_cl9,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ~ ( in @ X0 @ X1 )
      | ( X0 = X2 )
      | ( X1
       != ( singleton @ X2 ) ) ),
    inference(cnf,[status(esa)],[d1_tarski]) ).

thf(zip_derived_cl490,plain,
    ! [X0: $i,X1: $i] :
      ( ( X0 = X1 )
      | ~ ( in @ X0 @ ( singleton @ X1 ) ) ),
    inference(eq_res,[status(thm)],[zip_derived_cl9]) ).

thf(zip_derived_cl513,plain,
    ! [X0: $i] :
      ( ( ( singleton @ X0 )
        = empty_set )
      | ( ( sk__1 @ ( singleton @ X0 ) )
        = X0 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl13,zip_derived_cl490]) ).

thf(zip_derived_cl63_001,plain,
    ! [X0: $i] :
      ( ( singleton @ X0 )
     != empty_set ),
    inference(cnf,[status(esa)],[l1_zfmisc_1]) ).

thf(zip_derived_cl515,plain,
    ! [X0: $i] :
      ( ( sk__1 @ ( singleton @ X0 ) )
      = X0 ),
    inference('simplify_reflect-',[status(thm)],[zip_derived_cl513,zip_derived_cl63]) ).

thf(zip_derived_cl583,plain,
    ( ( sk__1 @ ( singleton @ sk__13 ) )
    = sk__14 ),
    inference('s_sup+',[status(thm)],[zip_derived_cl577,zip_derived_cl515]) ).

thf(zip_derived_cl515_002,plain,
    ! [X0: $i] :
      ( ( sk__1 @ ( singleton @ X0 ) )
      = X0 ),
    inference('simplify_reflect-',[status(thm)],[zip_derived_cl513,zip_derived_cl63]) ).

thf(zip_derived_cl589,plain,
    sk__13 = sk__14,
    inference(demod,[status(thm)],[zip_derived_cl583,zip_derived_cl515]) ).

thf(zip_derived_cl109,plain,
    sk__13 != sk__14,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl590,plain,
    $false,
    inference('simplify_reflect-',[status(thm)],[zip_derived_cl589,zip_derived_cl109]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem  : SEU148+2 : 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.FmT6GFCsk5 true
% 0.13/0.34  % Computer : n004.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 Aug 23 23:46:38 EDT 2023
% 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
% 0.20/0.65  % Total configuration time : 435
% 0.20/0.65  % Estimated wc time : 1092
% 0.20/0.65  % Estimated cpu time (7 cpus) : 156.0
% 0.20/0.71  % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.20/0.73  % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.20/0.74  % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.20/0.75  % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.20/0.75  % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.20/0.75  % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.20/0.76  % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 1.23/0.77  % Solved by fo/fo6_bce.sh.
% 1.23/0.77  % BCE start: 116
% 1.23/0.77  % BCE eliminated: 2
% 1.23/0.77  % PE start: 114
% 1.23/0.77  logic: eq
% 1.23/0.77  % PE eliminated: 0
% 1.23/0.77  % done 87 iterations in 0.039s
% 1.23/0.77  % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 1.23/0.77  % SZS output start Refutation
% See solution above
% 1.23/0.77  
% 1.23/0.77  
% 1.23/0.77  % Terminating...
% 1.46/0.85  % Runner terminated.
% 1.46/0.86  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------