TSTP Solution File: SWW469+5 by Zipperpin---2.1.9999

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : SWW469+5 : TPTP v8.1.2. Released v5.3.0.
% Transfm  : NO INFORMATION
% Format   : NO INFORMATION
% Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.8XRS3sSQI1 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 : Fri Sep  1 01:42:01 EDT 2023

% Result   : Theorem 0.16s 0.67s
% Output   : Refutation 0.16s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    6
%            Number of leaves      :   12
% Syntax   : Number of formulae    :   24 (  14 unt;   8 typ;   0 def)
%            Number of atoms       :   18 (  13 equ;   0 cnn)
%            Maximal formula atoms :    2 (   1 avg)
%            Number of connectives :   61 (   8   ~;   1   |;   0   &;  51   @)
%                                         (   1 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    5 (   3 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :    4 (   4   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   10 (   8 usr;   6 con; 0-2 aty)
%            Number of variables   :   12 (   0   ^;  10   !;   2   ?;  12   :)

% Comments : 
%------------------------------------------------------------------------------
thf(hoare_1883395792gleton_type,type,
    hoare_1883395792gleton: $i ).

thf(ti_type,type,
    ti: $i > $i > $i ).

thf(hBOOL_type,type,
    hBOOL: $i > $o ).

thf(sk__11_type,type,
    sk__11: $i ).

thf(state_type,type,
    state: $i ).

thf(sk__type,type,
    sk_: $i ).

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

thf(undefined_type,type,
    undefined: $i > $i ).

thf(fact_0_state__not__singleton__def,axiom,
    ( ( hBOOL @ hoare_1883395792gleton )
  <=> ? [S: $i,T: $i] :
        ( ( ti @ state @ S )
       != ( ti @ state @ T ) ) ) ).

thf(zip_derived_cl18,plain,
    ( ( ( ti @ state @ sk_ )
     != ( ti @ state @ sk__1 ) )
    | ~ ( hBOOL @ hoare_1883395792gleton ) ),
    inference(cnf,[status(esa)],[fact_0_state__not__singleton__def]) ).

thf(conj_0,axiom,
    hBOOL @ hoare_1883395792gleton ).

thf(zip_derived_cl75,plain,
    hBOOL @ hoare_1883395792gleton,
    inference(cnf,[status(esa)],[conj_0]) ).

thf(zip_derived_cl77,plain,
    ( ( ti @ state @ sk_ )
   != ( ti @ state @ sk__1 ) ),
    inference(demod,[status(thm)],[zip_derived_cl18,zip_derived_cl75]) ).

thf(conj_1,conjecture,
    ! [T: $i] :
      ~ ! [S: $i] :
          ( ( ti @ state @ S )
          = ( ti @ state @ T ) ) ).

thf(zf_stmt_0,negated_conjecture,
    ~ ! [T: $i] :
        ~ ! [S: $i] :
            ( ( ti @ state @ S )
            = ( ti @ state @ T ) ),
    inference('cnf.neg',[status(esa)],[conj_1]) ).

thf(zip_derived_cl76,plain,
    ! [X0: $i] :
      ( ( ti @ state @ X0 )
      = ( ti @ state @ sk__11 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl76_001,plain,
    ! [X0: $i] :
      ( ( ti @ state @ X0 )
      = ( ti @ state @ sk__11 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(tsy_c_HOL_Oundefined_res,axiom,
    ! [X_a: $i] :
      ( ( ti @ X_a @ ( undefined @ X_a ) )
      = ( undefined @ X_a ) ) ).

thf(zip_derived_cl4,plain,
    ! [X0: $i] :
      ( ( ti @ X0 @ ( undefined @ X0 ) )
      = ( undefined @ X0 ) ),
    inference(cnf,[status(esa)],[tsy_c_HOL_Oundefined_res]) ).

thf(zip_derived_cl90,plain,
    ( ( ti @ state @ sk__11 )
    = ( undefined @ state ) ),
    inference('sup+',[status(thm)],[zip_derived_cl76,zip_derived_cl4]) ).

thf(zip_derived_cl91,plain,
    ! [X0: $i] :
      ( ( ti @ state @ X0 )
      = ( undefined @ state ) ),
    inference(demod,[status(thm)],[zip_derived_cl76,zip_derived_cl90]) ).

thf(zip_derived_cl91_002,plain,
    ! [X0: $i] :
      ( ( ti @ state @ X0 )
      = ( undefined @ state ) ),
    inference(demod,[status(thm)],[zip_derived_cl76,zip_derived_cl90]) ).

thf(zip_derived_cl92,plain,
    ( ( undefined @ state )
   != ( undefined @ state ) ),
    inference(demod,[status(thm)],[zip_derived_cl77,zip_derived_cl91,zip_derived_cl91]) ).

thf(zip_derived_cl93,plain,
    $false,
    inference(simplify,[status(thm)],[zip_derived_cl92]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11  % Problem  : SWW469+5 : TPTP v8.1.2. Released v5.3.0.
% 0.00/0.11  % Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.8XRS3sSQI1 true
% 0.11/0.31  % Computer : n032.cluster.edu
% 0.11/0.31  % Model    : x86_64 x86_64
% 0.11/0.31  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.31  % Memory   : 8042.1875MB
% 0.11/0.31  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.11/0.31  % CPULimit : 300
% 0.11/0.31  % WCLimit  : 300
% 0.11/0.31  % DateTime : Sun Aug 27 19:07:45 EDT 2023
% 0.11/0.31  % CPUTime  : 
% 0.11/0.31  % Running portfolio for 300 s
% 0.11/0.31  % File         : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.11/0.31  % Number of cores: 8
% 0.11/0.31  % Python version: Python 3.6.8
% 0.11/0.32  % Running in FO mode
% 0.16/0.56  % Total configuration time : 435
% 0.16/0.56  % Estimated wc time : 1092
% 0.16/0.56  % Estimated cpu time (7 cpus) : 156.0
% 0.16/0.59  % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.16/0.60  % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.16/0.60  % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.16/0.60  % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.16/0.61  % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.16/0.62  % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.16/0.63  % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 0.16/0.67  % Solved by fo/fo7.sh.
% 0.16/0.67  % done 22 iterations in 0.027s
% 0.16/0.67  % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 0.16/0.67  % SZS output start Refutation
% See solution above
% 0.16/0.67  
% 0.16/0.67  
% 0.16/0.67  % Terminating...
% 0.99/0.75  % Runner terminated.
% 0.99/0.76  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------