TSTP Solution File: NUM557+3 by Zipperpin---2.1.9999

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : NUM557+3 : TPTP v8.1.2. Released v4.0.0.
% Transfm  : NO INFORMATION
% Format   : NO INFORMATION
% Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.FmoTPSNNkU true

% Computer : n002.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 12:42:21 EDT 2023

% Result   : Theorem 1.19s 0.75s
% Output   : Refutation 1.19s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    5
%            Number of leaves      :    9
% Syntax   : Number of formulae    :   16 (   4 unt;   7 typ;   0 def)
%            Number of atoms       :   22 (   6 equ;   0 cnn)
%            Maximal formula atoms :    5 (   2 avg)
%            Number of connectives :   58 (   6   ~;   6   |;   4   &;  39   @)
%                                         (   0 <=>;   3  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    9 (   5 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :    7 (   7   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :    9 (   7 usr;   4 con; 0-2 aty)
%            Number of variables   :    3 (   0   ^;   3   !;   0   ?;   3   :)

% Comments : 
%------------------------------------------------------------------------------
thf(slbdtsldtrb0_type,type,
    slbdtsldtrb0: $i > $i > $i ).

thf(xk_type,type,
    xk: $i ).

thf(xP_type,type,
    xP: $i ).

thf(sbrdtbr0_type,type,
    sbrdtbr0: $i > $i ).

thf(aSubsetOf0_type,type,
    aSubsetOf0: $i > $i > $o ).

thf(aElementOf0_type,type,
    aElementOf0: $i > $i > $o ).

thf(xS_type,type,
    xS: $i ).

thf(m__,conjecture,
    ( ( aElementOf0 @ xP @ ( slbdtsldtrb0 @ xS @ xk ) )
    | ( ( ( sbrdtbr0 @ xP )
        = xk )
      & ( ( aSubsetOf0 @ xP @ xS )
        | ! [W0: $i] :
            ( ( aElementOf0 @ W0 @ xP )
           => ( aElementOf0 @ W0 @ xS ) ) ) ) ) ).

thf(zf_stmt_0,negated_conjecture,
    ~ ( ( aElementOf0 @ xP @ ( slbdtsldtrb0 @ xS @ xk ) )
      | ( ( ( sbrdtbr0 @ xP )
          = xk )
        & ( ( aSubsetOf0 @ xP @ xS )
          | ! [W0: $i] :
              ( ( aElementOf0 @ W0 @ xP )
             => ( aElementOf0 @ W0 @ xS ) ) ) ) ),
    inference('cnf.neg',[status(esa)],[m__]) ).

thf(zip_derived_cl174,plain,
    ( ( ( sbrdtbr0 @ xP )
     != xk )
    | ~ ( aSubsetOf0 @ xP @ xS ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(m__2431,axiom,
    ( ( ( sbrdtbr0 @ xP )
      = xk )
    & ( aSubsetOf0 @ xP @ xS )
    & ! [W0: $i] :
        ( ( aElementOf0 @ W0 @ xP )
       => ( aElementOf0 @ W0 @ xS ) ) ) ).

thf(zip_derived_cl173,plain,
    ( ( sbrdtbr0 @ xP )
    = xk ),
    inference(cnf,[status(esa)],[m__2431]) ).

thf(zip_derived_cl1065,plain,
    ( ( xk != xk )
    | ~ ( aSubsetOf0 @ xP @ xS ) ),
    inference(demod,[status(thm)],[zip_derived_cl174,zip_derived_cl173]) ).

thf(zip_derived_cl1066,plain,
    ~ ( aSubsetOf0 @ xP @ xS ),
    inference(simplify,[status(thm)],[zip_derived_cl1065]) ).

thf(zip_derived_cl172,plain,
    aSubsetOf0 @ xP @ xS,
    inference(cnf,[status(esa)],[m__2431]) ).

thf(zip_derived_cl1067,plain,
    $false,
    inference(demod,[status(thm)],[zip_derived_cl1066,zip_derived_cl172]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13  % Problem  : NUM557+3 : TPTP v8.1.2. Released v4.0.0.
% 0.07/0.14  % Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.FmoTPSNNkU true
% 0.14/0.35  % Computer : n002.cluster.edu
% 0.14/0.35  % Model    : x86_64 x86_64
% 0.14/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35  % Memory   : 8042.1875MB
% 0.14/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35  % CPULimit : 300
% 0.14/0.35  % WCLimit  : 300
% 0.14/0.35  % DateTime : Fri Aug 25 15:29:17 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
% 0.14/0.36  % Python version: Python 3.6.8
% 0.14/0.36  % Running in FO mode
% 0.22/0.66  % Total configuration time : 435
% 0.22/0.66  % Estimated wc time : 1092
% 0.22/0.66  % Estimated cpu time (7 cpus) : 156.0
% 0.22/0.69  % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.22/0.69  % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 1.12/0.72  % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 1.19/0.73  % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 1.19/0.73  % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 1.19/0.75  % Solved by fo/fo3_bce.sh.
% 1.19/0.75  % BCE start: 178
% 1.19/0.75  % BCE eliminated: 1
% 1.19/0.75  % PE start: 177
% 1.19/0.75  logic: eq
% 1.19/0.75  % PE eliminated: 0
% 1.19/0.75  % done 15 iterations in 0.038s
% 1.19/0.75  % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 1.19/0.75  % SZS output start Refutation
% See solution above
% 1.19/0.75  
% 1.19/0.75  
% 1.19/0.75  % Terminating...
% 1.47/0.85  % Runner terminated.
% 1.47/0.86  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------