TSTP Solution File: SET890+1 by Zipperpin---2.1.9999

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : SET890+1 : TPTP v8.1.2. Released v3.2.0.
% Transfm  : NO INFORMATION
% Format   : NO INFORMATION
% Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.83VMH9EGeB true

% Computer : n032.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 16:16:41 EDT 2023

% Result   : Theorem 0.16s 0.79s
% Output   : Refutation 0.16s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   13
%            Number of leaves      :    9
% Syntax   : Number of formulae    :   33 (   8 unt;   6 typ;   0 def)
%            Number of atoms       :   63 (  32 equ;   0 cnn)
%            Maximal formula atoms :    4 (   2 avg)
%            Number of connectives :  196 (  19   ~;  31   |;   1   &; 141   @)
%                                         (   4 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   12 (   6 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :    8 (   8   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :    8 (   6 usr;   2 con; 0-2 aty)
%            Number of variables   :   43 (   0   ^;  42   !;   1   ?;  43   :)

% Comments : 
%------------------------------------------------------------------------------
thf(sk__3_type,type,
    sk__3: $i > $i > $i ).

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

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

thf(sk__7_type,type,
    sk__7: $i ).

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

thf(union_type,type,
    union: $i > $i ).

thf(t31_zfmisc_1,conjecture,
    ! [A: $i] :
      ( ( union @ ( singleton @ A ) )
      = A ) ).

thf(zf_stmt_0,negated_conjecture,
    ~ ! [A: $i] :
        ( ( union @ ( singleton @ A ) )
        = A ),
    inference('cnf.neg',[status(esa)],[t31_zfmisc_1]) ).

thf(zip_derived_cl21,plain,
    ( ( union @ ( singleton @ sk__7 ) )
   != sk__7 ),
    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_cl4,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( X1 != X0 )
      | ( in @ X1 @ X2 )
      | ( X2
       != ( singleton @ X0 ) ) ),
    inference(cnf,[status(esa)],[d1_tarski]) ).

thf(zip_derived_cl38,plain,
    ! [X0: $i,X1: $i] :
      ( ( in @ X1 @ ( singleton @ X0 ) )
      | ( X1 != X0 ) ),
    inference(eq_res,[status(thm)],[zip_derived_cl4]) ).

thf(zip_derived_cl59,plain,
    ! [X0: $i] : ( in @ X0 @ ( singleton @ X0 ) ),
    inference(eq_res,[status(thm)],[zip_derived_cl38]) ).

thf(d4_tarski,axiom,
    ! [A: $i,B: $i] :
      ( ( B
        = ( union @ A ) )
    <=> ! [C: $i] :
          ( ( in @ C @ B )
        <=> ? [D: $i] :
              ( ( in @ D @ A )
              & ( in @ C @ D ) ) ) ) ).

thf(zip_derived_cl16,plain,
    ! [X0: $i,X1: $i] :
      ( ( X1
        = ( union @ X0 ) )
      | ( in @ ( sk__3 @ X1 @ X0 ) @ X0 )
      | ( in @ ( sk__2 @ X1 @ X0 ) @ X1 ) ),
    inference(cnf,[status(esa)],[d4_tarski]) ).

thf(zip_derived_cl14,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( X1
        = ( union @ X0 ) )
      | ~ ( in @ ( sk__2 @ X1 @ X0 ) @ X2 )
      | ~ ( in @ X2 @ X0 )
      | ~ ( in @ ( sk__2 @ X1 @ X0 ) @ X1 ) ),
    inference(cnf,[status(esa)],[d4_tarski]) ).

thf(zip_derived_cl70,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( in @ ( sk__2 @ X0 @ X1 ) @ X0 )
      | ~ ( in @ X0 @ X1 )
      | ( X0
        = ( union @ X1 ) ) ),
    inference(eq_fact,[status(thm)],[zip_derived_cl14]) ).

thf(zip_derived_cl216,plain,
    ! [X0: $i,X1: $i] :
      ( ( in @ ( sk__3 @ X0 @ X1 ) @ X1 )
      | ( X0
        = ( union @ X1 ) )
      | ( X0
        = ( union @ X1 ) )
      | ~ ( in @ X0 @ X1 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl16,zip_derived_cl70]) ).

thf(zip_derived_cl217,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( in @ X0 @ X1 )
      | ( X0
        = ( union @ X1 ) )
      | ( in @ ( sk__3 @ X0 @ X1 ) @ X1 ) ),
    inference(simplify,[status(thm)],[zip_derived_cl216]) ).

thf(zip_derived_cl637,plain,
    ! [X0: $i] :
      ( ( in @ ( sk__3 @ X0 @ ( singleton @ X0 ) ) @ ( singleton @ X0 ) )
      | ( X0
        = ( union @ ( singleton @ X0 ) ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl59,zip_derived_cl217]) ).

thf(zip_derived_cl5,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ~ ( in @ X0 @ X1 )
      | ( X0 = X2 )
      | ( X1
       != ( singleton @ X2 ) ) ),
    inference(cnf,[status(esa)],[d1_tarski]) ).

thf(zip_derived_cl29,plain,
    ! [X0: $i,X1: $i] :
      ( ( X0 = X1 )
      | ~ ( in @ X0 @ ( singleton @ X1 ) ) ),
    inference(eq_res,[status(thm)],[zip_derived_cl5]) ).

thf(zip_derived_cl762,plain,
    ! [X0: $i] :
      ( ( X0
        = ( union @ ( singleton @ X0 ) ) )
      | ( ( sk__3 @ X0 @ ( singleton @ X0 ) )
        = X0 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl637,zip_derived_cl29]) ).

thf(zip_derived_cl15,plain,
    ! [X0: $i,X1: $i] :
      ( ( X1
        = ( union @ X0 ) )
      | ( in @ ( sk__2 @ X1 @ X0 ) @ ( sk__3 @ X1 @ X0 ) )
      | ( in @ ( sk__2 @ X1 @ X0 ) @ X1 ) ),
    inference(cnf,[status(esa)],[d4_tarski]) ).

thf(zip_derived_cl767,plain,
    ! [X0: $i] :
      ( ( in @ ( sk__2 @ X0 @ ( singleton @ X0 ) ) @ X0 )
      | ( X0
        = ( union @ ( singleton @ X0 ) ) )
      | ( in @ ( sk__2 @ X0 @ ( singleton @ X0 ) ) @ X0 )
      | ( X0
        = ( union @ ( singleton @ X0 ) ) ) ),
    inference('sup+',[status(thm)],[zip_derived_cl762,zip_derived_cl15]) ).

thf(zip_derived_cl771,plain,
    ! [X0: $i] :
      ( ( X0
        = ( union @ ( singleton @ X0 ) ) )
      | ( in @ ( sk__2 @ X0 @ ( singleton @ X0 ) ) @ X0 ) ),
    inference(simplify,[status(thm)],[zip_derived_cl767]) ).

thf(zip_derived_cl70_001,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( in @ ( sk__2 @ X0 @ X1 ) @ X0 )
      | ~ ( in @ X0 @ X1 )
      | ( X0
        = ( union @ X1 ) ) ),
    inference(eq_fact,[status(thm)],[zip_derived_cl14]) ).

thf(zip_derived_cl803,plain,
    ! [X0: $i] :
      ( ( X0
        = ( union @ ( singleton @ X0 ) ) )
      | ( X0
        = ( union @ ( singleton @ X0 ) ) )
      | ~ ( in @ X0 @ ( singleton @ X0 ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl771,zip_derived_cl70]) ).

thf(zip_derived_cl59_002,plain,
    ! [X0: $i] : ( in @ X0 @ ( singleton @ X0 ) ),
    inference(eq_res,[status(thm)],[zip_derived_cl38]) ).

thf(zip_derived_cl806,plain,
    ! [X0: $i] :
      ( ( X0
        = ( union @ ( singleton @ X0 ) ) )
      | ( X0
        = ( union @ ( singleton @ X0 ) ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl803,zip_derived_cl59]) ).

thf(zip_derived_cl807,plain,
    ! [X0: $i] :
      ( X0
      = ( union @ ( singleton @ X0 ) ) ),
    inference(simplify,[status(thm)],[zip_derived_cl806]) ).

thf(zip_derived_cl841,plain,
    sk__7 != sk__7,
    inference(demod,[status(thm)],[zip_derived_cl21,zip_derived_cl807]) ).

thf(zip_derived_cl842,plain,
    $false,
    inference(simplify,[status(thm)],[zip_derived_cl841]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.10  % Problem  : SET890+1 : TPTP v8.1.2. Released v3.2.0.
% 0.00/0.11  % Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.83VMH9EGeB true
% 0.11/0.30  % Computer : n032.cluster.edu
% 0.11/0.30  % Model    : x86_64 x86_64
% 0.11/0.30  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.30  % Memory   : 8042.1875MB
% 0.11/0.30  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.11/0.30  % CPULimit : 300
% 0.11/0.30  % WCLimit  : 300
% 0.11/0.30  % DateTime : Sat Aug 26 16:25:29 EDT 2023
% 0.11/0.30  % CPUTime  : 
% 0.11/0.30  % Running portfolio for 300 s
% 0.11/0.30  % File         : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.11/0.30  % Number of cores: 8
% 0.11/0.30  % Python version: Python 3.6.8
% 0.11/0.30  % Running in FO mode
% 0.16/0.53  % Total configuration time : 435
% 0.16/0.53  % Estimated wc time : 1092
% 0.16/0.53  % Estimated cpu time (7 cpus) : 156.0
% 0.16/0.59  % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.16/0.59  % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.16/0.59  % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.16/0.61  % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.16/0.61  % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.16/0.61  % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.16/0.61  % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 0.16/0.79  % Solved by fo/fo5.sh.
% 0.16/0.79  % done 173 iterations in 0.154s
% 0.16/0.79  % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 0.16/0.79  % SZS output start Refutation
% See solution above
% 0.16/0.79  
% 0.16/0.79  
% 0.16/0.80  % Terminating...
% 1.82/0.84  % Runner terminated.
% 1.82/0.86  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------