TSTP Solution File: SEU144+2 by Zipperpin---2.1.9999

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : SEU144+2 : TPTP v8.1.2. Released v3.3.0.
% Transfm  : NO INFORMATION
% Format   : NO INFORMATION
% Command  : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.rKcUPcgAuy true

% Computer : n031.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 7.41s 1.70s
% Output   : Refutation 7.41s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    7
%            Number of leaves      :    9
% Syntax   : Number of formulae    :   30 (   6 unt;   6 typ;   0 def)
%            Number of atoms       :   49 (   9 equ;   0 cnn)
%            Maximal formula atoms :    3 (   2 avg)
%            Number of connectives :  143 (  16   ~;  19   |;   0   &; 102   @)
%                                         (   5 <=>;   1  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    9 (   6 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :    7 (   7   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :    8 (   6 usr;   3 con; 0-2 aty)
%            Number of variables   :   35 (   0   ^;  35   !;   0   ?;  35   :)

% Comments : 
%------------------------------------------------------------------------------
thf(sk__8_type,type,
    sk__8: $i ).

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

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

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

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

thf(sk__4_type,type,
    sk__4: $i > $i > $i ).

thf(l2_zfmisc_1,conjecture,
    ! [A: $i,B: $i] :
      ( ( subset @ ( singleton @ A ) @ B )
    <=> ( in @ A @ B ) ) ).

thf(zf_stmt_0,negated_conjecture,
    ~ ! [A: $i,B: $i] :
        ( ( subset @ ( singleton @ A ) @ B )
      <=> ( in @ A @ B ) ),
    inference('cnf.neg',[status(esa)],[l2_zfmisc_1]) ).

thf(zip_derived_cl60,plain,
    ( ~ ( in @ sk__7 @ sk__8 )
    | ~ ( subset @ ( singleton @ sk__7 ) @ sk__8 ) ),
    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_cl8,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( X1 != X0 )
      | ( in @ X1 @ X2 )
      | ( X2
       != ( singleton @ X0 ) ) ),
    inference(cnf,[status(esa)],[d1_tarski]) ).

thf(zip_derived_cl150,plain,
    ! [X0: $i,X1: $i] :
      ( ( in @ X1 @ ( singleton @ X0 ) )
      | ( X1 != X0 ) ),
    inference(eq_res,[status(thm)],[zip_derived_cl8]) ).

thf(zip_derived_cl168,plain,
    ! [X0: $i] : ( in @ X0 @ ( singleton @ X0 ) ),
    inference(eq_res,[status(thm)],[zip_derived_cl150]) ).

thf(zip_derived_cl59,plain,
    ( ( in @ sk__7 @ sk__8 )
    | ( subset @ ( singleton @ sk__7 ) @ sk__8 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(d3_tarski,axiom,
    ! [A: $i,B: $i] :
      ( ( subset @ A @ B )
    <=> ! [C: $i] :
          ( ( in @ C @ A )
         => ( in @ C @ B ) ) ) ).

thf(zip_derived_cl26,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ~ ( in @ X0 @ X1 )
      | ( in @ X0 @ X2 )
      | ~ ( subset @ X1 @ X2 ) ),
    inference(cnf,[status(esa)],[d3_tarski]) ).

thf(zip_derived_cl248,plain,
    ! [X0: $i] :
      ( ( in @ sk__7 @ sk__8 )
      | ( in @ X0 @ sk__8 )
      | ~ ( in @ X0 @ ( singleton @ sk__7 ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl59,zip_derived_cl26]) ).

thf(zip_derived_cl556,plain,
    ( ( in @ sk__7 @ sk__8 )
    | ( in @ sk__7 @ sk__8 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl168,zip_derived_cl248]) ).

thf(zip_derived_cl563,plain,
    in @ sk__7 @ sk__8,
    inference(simplify,[status(thm)],[zip_derived_cl556]) ).

thf(zip_derived_cl569,plain,
    ~ ( subset @ ( singleton @ sk__7 ) @ sk__8 ),
    inference(demod,[status(thm)],[zip_derived_cl60,zip_derived_cl563]) ).

thf(zip_derived_cl563_001,plain,
    in @ sk__7 @ sk__8,
    inference(simplify,[status(thm)],[zip_derived_cl556]) ).

thf(zip_derived_cl28,plain,
    ! [X0: $i,X1: $i] :
      ( ( subset @ X0 @ X1 )
      | ( in @ ( sk__4 @ X1 @ X0 ) @ X0 ) ),
    inference(cnf,[status(esa)],[d3_tarski]) ).

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_cl149,plain,
    ! [X0: $i,X1: $i] :
      ( ( X0 = X1 )
      | ~ ( in @ X0 @ ( singleton @ X1 ) ) ),
    inference(eq_res,[status(thm)],[zip_derived_cl9]) ).

thf(zip_derived_cl719,plain,
    ! [X0: $i,X1: $i] :
      ( ( subset @ ( singleton @ X0 ) @ X1 )
      | ( ( sk__4 @ X1 @ ( singleton @ X0 ) )
        = X0 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl28,zip_derived_cl149]) ).

thf(zip_derived_cl27,plain,
    ! [X0: $i,X1: $i] :
      ( ( subset @ X0 @ X1 )
      | ~ ( in @ ( sk__4 @ X1 @ X0 ) @ X1 ) ),
    inference(cnf,[status(esa)],[d3_tarski]) ).

thf(zip_derived_cl6877,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( in @ X0 @ X1 )
      | ( subset @ ( singleton @ X0 ) @ X1 )
      | ( subset @ ( singleton @ X0 ) @ X1 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl719,zip_derived_cl27]) ).

thf(zip_derived_cl6884,plain,
    ! [X0: $i,X1: $i] :
      ( ( subset @ ( singleton @ X0 ) @ X1 )
      | ~ ( in @ X0 @ X1 ) ),
    inference(simplify,[status(thm)],[zip_derived_cl6877]) ).

thf(zip_derived_cl6996,plain,
    subset @ ( singleton @ sk__7 ) @ sk__8,
    inference('sup-',[status(thm)],[zip_derived_cl563,zip_derived_cl6884]) ).

thf(zip_derived_cl7009,plain,
    $false,
    inference(demod,[status(thm)],[zip_derived_cl569,zip_derived_cl6996]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.13/0.13  % Problem  : SEU144+2 : TPTP v8.1.2. Released v3.3.0.
% 0.13/0.14  % Command  : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.rKcUPcgAuy true
% 0.14/0.36  % Computer : n031.cluster.edu
% 0.14/0.36  % Model    : x86_64 x86_64
% 0.14/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36  % Memory   : 8042.1875MB
% 0.14/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36  % CPULimit : 300
% 0.14/0.36  % WCLimit  : 300
% 0.14/0.36  % DateTime : Wed Aug 23 18:05:05 EDT 2023
% 0.14/0.36  % CPUTime  : 
% 0.14/0.36  % Running portfolio for 300 s
% 0.14/0.36  % File         : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.22/0.36  % Number of cores: 8
% 0.22/0.36  % Python version: Python 3.6.8
% 0.22/0.36  % Running in FO mode
% 0.23/0.66  % Total configuration time : 435
% 0.23/0.66  % Estimated wc time : 1092
% 0.23/0.66  % Estimated cpu time (7 cpus) : 156.0
% 0.23/0.72  % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.23/0.74  % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.23/0.77  % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.23/0.77  % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.23/0.77  % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.23/0.78  % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 0.23/0.78  % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 7.41/1.70  % Solved by fo/fo5.sh.
% 7.41/1.70  % done 2160 iterations in 0.901s
% 7.41/1.70  % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 7.41/1.70  % SZS output start Refutation
% See solution above
% 7.41/1.70  
% 7.41/1.70  
% 7.41/1.70  % Terminating...
% 8.05/1.77  % Runner terminated.
% 8.05/1.78  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------