TSTP Solution File: KLE066+1 by Zipperpin---2.1.9999

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : KLE066+1 : 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.UqruxsWtFT true

% Computer : n027.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 05:38:32 EDT 2023

% Result   : Theorem 1.08s 0.80s
% Output   : Refutation 1.08s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    7
%            Number of leaves      :   12
% Syntax   : Number of formulae    :   26 (  18 unt;   6 typ;   0 def)
%            Number of atoms       :   22 (  21 equ;   0 cnn)
%            Maximal formula atoms :    2 (   1 avg)
%            Number of connectives :   82 (   2   ~;   0   |;   0   &;  78   @)
%                                         (   0 <=>;   2  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    5 (   2 avg)
%            Number of types       :    1 (   0 usr)
%            Number of type conns  :    5 (   5   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :    8 (   6 usr;   4 con; 0-2 aty)
%            Number of variables   :   15 (   0   ^;  15   !;   0   ?;  15   :)

% Comments : 
%------------------------------------------------------------------------------
thf(multiplication_type,type,
    multiplication: $i > $i > $i ).

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

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

thf(addition_type,type,
    addition: $i > $i > $i ).

thf(domain_type,type,
    domain: $i > $i ).

thf(zero_type,type,
    zero: $i ).

thf(goals,conjecture,
    ! [X0: $i,X1: $i] :
      ( ( ( multiplication @ X0 @ ( domain @ X1 ) )
        = zero )
     => ( ( multiplication @ X0 @ X1 )
        = zero ) ) ).

thf(zf_stmt_0,negated_conjecture,
    ~ ! [X0: $i,X1: $i] :
        ( ( ( multiplication @ X0 @ ( domain @ X1 ) )
          = zero )
       => ( ( multiplication @ X0 @ X1 )
          = zero ) ),
    inference('cnf.neg',[status(esa)],[goals]) ).

thf(zip_derived_cl18,plain,
    ( ( multiplication @ sk_ @ ( domain @ sk__1 ) )
    = zero ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(domain2,axiom,
    ! [X0: $i,X1: $i] :
      ( ( domain @ ( multiplication @ X0 @ X1 ) )
      = ( domain @ ( multiplication @ X0 @ ( domain @ X1 ) ) ) ) ).

thf(zip_derived_cl14,plain,
    ! [X0: $i,X1: $i] :
      ( ( domain @ ( multiplication @ X0 @ X1 ) )
      = ( domain @ ( multiplication @ X0 @ ( domain @ X1 ) ) ) ),
    inference(cnf,[status(esa)],[domain2]) ).

thf(zip_derived_cl94,plain,
    ( ( domain @ ( multiplication @ sk_ @ sk__1 ) )
    = ( domain @ zero ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl18,zip_derived_cl14]) ).

thf(domain4,axiom,
    ( ( domain @ zero )
    = zero ) ).

thf(zip_derived_cl16,plain,
    ( ( domain @ zero )
    = zero ),
    inference(cnf,[status(esa)],[domain4]) ).

thf(zip_derived_cl100,plain,
    ( ( domain @ ( multiplication @ sk_ @ sk__1 ) )
    = zero ),
    inference(demod,[status(thm)],[zip_derived_cl94,zip_derived_cl16]) ).

thf(domain1,axiom,
    ! [X0: $i] :
      ( ( addition @ X0 @ ( multiplication @ ( domain @ X0 ) @ X0 ) )
      = ( multiplication @ ( domain @ X0 ) @ X0 ) ) ).

thf(zip_derived_cl13,plain,
    ! [X0: $i] :
      ( ( addition @ X0 @ ( multiplication @ ( domain @ X0 ) @ X0 ) )
      = ( multiplication @ ( domain @ X0 ) @ X0 ) ),
    inference(cnf,[status(esa)],[domain1]) ).

thf(zip_derived_cl176,plain,
    ( ( addition @ ( multiplication @ sk_ @ sk__1 ) @ ( multiplication @ zero @ ( multiplication @ sk_ @ sk__1 ) ) )
    = ( multiplication @ zero @ ( multiplication @ sk_ @ sk__1 ) ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl100,zip_derived_cl13]) ).

thf(left_annihilation,axiom,
    ! [A: $i] :
      ( ( multiplication @ zero @ A )
      = zero ) ).

thf(zip_derived_cl10,plain,
    ! [X0: $i] :
      ( ( multiplication @ zero @ X0 )
      = zero ),
    inference(cnf,[status(esa)],[left_annihilation]) ).

thf(additive_identity,axiom,
    ! [A: $i] :
      ( ( addition @ A @ zero )
      = A ) ).

thf(zip_derived_cl2,plain,
    ! [X0: $i] :
      ( ( addition @ X0 @ zero )
      = X0 ),
    inference(cnf,[status(esa)],[additive_identity]) ).

thf(zip_derived_cl10_001,plain,
    ! [X0: $i] :
      ( ( multiplication @ zero @ X0 )
      = zero ),
    inference(cnf,[status(esa)],[left_annihilation]) ).

thf(zip_derived_cl182,plain,
    ( ( multiplication @ sk_ @ sk__1 )
    = zero ),
    inference(demod,[status(thm)],[zip_derived_cl176,zip_derived_cl10,zip_derived_cl2,zip_derived_cl10]) ).

thf(zip_derived_cl19,plain,
    ( ( multiplication @ sk_ @ sk__1 )
   != zero ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl183,plain,
    $false,
    inference('simplify_reflect-',[status(thm)],[zip_derived_cl182,zip_derived_cl19]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13  % Problem  : KLE066+1 : TPTP v8.1.2. Released v4.0.0.
% 0.00/0.14  % Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.UqruxsWtFT true
% 0.14/0.36  % Computer : n027.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 : Tue Aug 29 12:47:23 EDT 2023
% 0.14/0.36  % CPUTime  : 
% 0.14/0.36  % Running portfolio for 300 s
% 0.14/0.36  % File         : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.14/0.36  % Number of cores: 8
% 0.14/0.36  % Python version: Python 3.6.8
% 0.14/0.37  % Running in FO mode
% 0.21/0.67  % Total configuration time : 435
% 0.21/0.67  % Estimated wc time : 1092
% 0.21/0.67  % Estimated cpu time (7 cpus) : 156.0
% 0.21/0.75  % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.21/0.75  % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.21/0.75  % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.21/0.76  % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.21/0.77  % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.21/0.78  % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.21/0.79  % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 1.08/0.80  % Solved by fo/fo6_bce.sh.
% 1.08/0.80  % BCE start: 20
% 1.08/0.80  % BCE eliminated: 2
% 1.08/0.80  % PE start: 18
% 1.08/0.80  logic: eq
% 1.08/0.80  % PE eliminated: 0
% 1.08/0.80  % done 32 iterations in 0.026s
% 1.08/0.80  % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 1.08/0.80  % SZS output start Refutation
% See solution above
% 1.08/0.80  
% 1.08/0.80  
% 1.08/0.80  % Terminating...
% 1.56/0.89  % Runner terminated.
% 1.56/0.90  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------