TSTP Solution File: KLE065+1 by Zipperpin---2.1.9999

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : KLE065+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.1DJqYo6Ygx true

% Computer : n012.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 2.71s 0.97s
% Output   : Refutation 2.71s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    6
%            Number of leaves      :   12
% Syntax   : Number of formulae    :   29 (  21 unt;   6 typ;   0 def)
%            Number of atoms       :   25 (  24 equ;   0 cnn)
%            Maximal formula atoms :    2 (   1 avg)
%            Number of connectives :  136 (   2   ~;   0   |;   0   &; 132   @)
%                                         (   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   :   21 (   0   ^;  21   !;   0   ?;  21   :)

% 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 @ X1 )
        = zero )
     => ( ( multiplication @ X0 @ ( domain @ X1 ) )
        = zero ) ) ).

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

thf(zip_derived_cl18,plain,
    ( ( multiplication @ sk_ @ 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(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_cl68,plain,
    ! [X0: $i,X1: $i] :
      ( ( addition @ ( multiplication @ X1 @ ( domain @ X0 ) ) @ ( multiplication @ ( domain @ ( multiplication @ X1 @ X0 ) ) @ ( multiplication @ X1 @ ( domain @ X0 ) ) ) )
      = ( multiplication @ ( domain @ ( multiplication @ X1 @ ( domain @ X0 ) ) ) @ ( multiplication @ X1 @ ( domain @ X0 ) ) ) ),
    inference('sup+',[status(thm)],[zip_derived_cl14,zip_derived_cl13]) ).

thf(zip_derived_cl14_001,plain,
    ! [X0: $i,X1: $i] :
      ( ( domain @ ( multiplication @ X0 @ X1 ) )
      = ( domain @ ( multiplication @ X0 @ ( domain @ X1 ) ) ) ),
    inference(cnf,[status(esa)],[domain2]) ).

thf(zip_derived_cl72,plain,
    ! [X0: $i,X1: $i] :
      ( ( addition @ ( multiplication @ X1 @ ( domain @ X0 ) ) @ ( multiplication @ ( domain @ ( multiplication @ X1 @ X0 ) ) @ ( multiplication @ X1 @ ( domain @ X0 ) ) ) )
      = ( multiplication @ ( domain @ ( multiplication @ X1 @ X0 ) ) @ ( multiplication @ X1 @ ( domain @ X0 ) ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl68,zip_derived_cl14]) ).

thf(zip_derived_cl1183,plain,
    ( ( addition @ ( multiplication @ sk_ @ ( domain @ sk__1 ) ) @ ( multiplication @ ( domain @ zero ) @ ( multiplication @ sk_ @ ( domain @ sk__1 ) ) ) )
    = ( multiplication @ ( domain @ ( multiplication @ sk_ @ sk__1 ) ) @ ( multiplication @ sk_ @ ( domain @ sk__1 ) ) ) ),
    inference('sup+',[status(thm)],[zip_derived_cl18,zip_derived_cl72]) ).

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

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

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_cl18_002,plain,
    ( ( multiplication @ sk_ @ sk__1 )
    = zero ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl16_003,plain,
    ( ( domain @ zero )
    = zero ),
    inference(cnf,[status(esa)],[domain4]) ).

thf(zip_derived_cl10_004,plain,
    ! [X0: $i] :
      ( ( multiplication @ zero @ X0 )
      = zero ),
    inference(cnf,[status(esa)],[left_annihilation]) ).

thf(zip_derived_cl1234,plain,
    ( ( multiplication @ sk_ @ ( domain @ sk__1 ) )
    = zero ),
    inference(demod,[status(thm)],[zip_derived_cl1183,zip_derived_cl16,zip_derived_cl10,zip_derived_cl2,zip_derived_cl18,zip_derived_cl16,zip_derived_cl10]) ).

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

thf(zip_derived_cl1235,plain,
    $false,
    inference('simplify_reflect-',[status(thm)],[zip_derived_cl1234,zip_derived_cl19]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11  % Problem  : KLE065+1 : TPTP v8.1.2. Released v4.0.0.
% 0.00/0.12  % Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.1DJqYo6Ygx true
% 0.10/0.32  % Computer : n012.cluster.edu
% 0.10/0.32  % Model    : x86_64 x86_64
% 0.10/0.32  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.32  % Memory   : 8042.1875MB
% 0.10/0.32  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.10/0.32  % CPULimit : 300
% 0.10/0.32  % WCLimit  : 300
% 0.10/0.32  % DateTime : Tue Aug 29 10:55:54 EDT 2023
% 0.10/0.32  % CPUTime  : 
% 0.15/0.32  % Running portfolio for 300 s
% 0.15/0.32  % File         : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.15/0.32  % Number of cores: 8
% 0.15/0.32  % Python version: Python 3.6.8
% 0.15/0.32  % 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
% 0.16/0.65  % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.16/0.67  % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.16/0.67  % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.16/0.67  % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.16/0.67  % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.16/0.68  % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.16/0.68  % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 2.71/0.96  % /export/starexec/sandbox2/solver/bin/fo/fo1_lcnf.sh running for 50s
% 2.71/0.97  % Solved by fo/fo5.sh.
% 2.71/0.97  % done 190 iterations in 0.233s
% 2.71/0.97  % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 2.71/0.97  % SZS output start Refutation
% See solution above
% 2.71/0.97  
% 2.71/0.97  
% 2.71/0.97  % Terminating...
% 3.78/1.16  % Runner terminated.
% 3.78/1.19  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------