TSTP Solution File: KLE072+1 by Zipperpin---2.1.9999

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : KLE072+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.J0SVC72MCi true

% Computer : n019.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 05:38:33 EDT 2023

% Result   : Theorem 0.20s 0.76s
% Output   : Refutation 0.20s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    4
%            Number of leaves      :   10
% Syntax   : Number of formulae    :   19 (  13 unt;   6 typ;   0 def)
%            Number of atoms       :   13 (  12 equ;   0 cnn)
%            Maximal formula atoms :    1 (   1 avg)
%            Number of connectives :  123 (   3   ~;   0   |;   0   &; 120   @)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    5 (   3 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   :   24 (   0   ^;  24   !;   0   ?;  24   :)

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

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

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

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

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

thf(sk__2_type,type,
    sk__2: $i ).

thf(goals,conjecture,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( domain @ ( multiplication @ ( addition @ X0 @ X1 ) @ ( domain @ X2 ) ) )
      = ( addition @ ( domain @ ( multiplication @ X0 @ ( domain @ X2 ) ) ) @ ( domain @ ( multiplication @ X1 @ ( domain @ X2 ) ) ) ) ) ).

thf(zf_stmt_0,negated_conjecture,
    ~ ! [X0: $i,X1: $i,X2: $i] :
        ( ( domain @ ( multiplication @ ( addition @ X0 @ X1 ) @ ( domain @ X2 ) ) )
        = ( addition @ ( domain @ ( multiplication @ X0 @ ( domain @ X2 ) ) ) @ ( domain @ ( multiplication @ X1 @ ( domain @ X2 ) ) ) ) ),
    inference('cnf.neg',[status(esa)],[goals]) ).

thf(zip_derived_cl18,plain,
    ( ( domain @ ( multiplication @ ( addition @ sk_ @ sk__1 ) @ ( domain @ sk__2 ) ) )
   != ( addition @ ( domain @ ( multiplication @ sk_ @ ( domain @ sk__2 ) ) ) @ ( domain @ ( multiplication @ sk__1 @ ( domain @ sk__2 ) ) ) ) ),
    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_cl14_001,plain,
    ! [X0: $i,X1: $i] :
      ( ( domain @ ( multiplication @ X0 @ X1 ) )
      = ( domain @ ( multiplication @ X0 @ ( domain @ X1 ) ) ) ),
    inference(cnf,[status(esa)],[domain2]) ).

thf(zip_derived_cl14_002,plain,
    ! [X0: $i,X1: $i] :
      ( ( domain @ ( multiplication @ X0 @ X1 ) )
      = ( domain @ ( multiplication @ X0 @ ( domain @ X1 ) ) ) ),
    inference(cnf,[status(esa)],[domain2]) ).

thf(domain5,axiom,
    ! [X0: $i,X1: $i] :
      ( ( domain @ ( addition @ X0 @ X1 ) )
      = ( addition @ ( domain @ X0 ) @ ( domain @ X1 ) ) ) ).

thf(zip_derived_cl17,plain,
    ! [X0: $i,X1: $i] :
      ( ( domain @ ( addition @ X0 @ X1 ) )
      = ( addition @ ( domain @ X0 ) @ ( domain @ X1 ) ) ),
    inference(cnf,[status(esa)],[domain5]) ).

thf(left_distributivity,axiom,
    ! [A: $i,B: $i,C: $i] :
      ( ( multiplication @ ( addition @ A @ B ) @ C )
      = ( addition @ ( multiplication @ A @ C ) @ ( multiplication @ B @ C ) ) ) ).

thf(zip_derived_cl8,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( multiplication @ ( addition @ X0 @ X2 ) @ X1 )
      = ( addition @ ( multiplication @ X0 @ X1 ) @ ( multiplication @ X2 @ X1 ) ) ),
    inference(cnf,[status(esa)],[left_distributivity]) ).

thf(zip_derived_cl167,plain,
    ( ( domain @ ( multiplication @ ( addition @ sk_ @ sk__1 ) @ sk__2 ) )
   != ( domain @ ( multiplication @ ( addition @ sk_ @ sk__1 ) @ sk__2 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl18,zip_derived_cl14,zip_derived_cl14,zip_derived_cl14,zip_derived_cl17,zip_derived_cl8]) ).

thf(zip_derived_cl168,plain,
    $false,
    inference(simplify,[status(thm)],[zip_derived_cl167]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem  : KLE072+1 : TPTP v8.1.2. Released v4.0.0.
% 0.00/0.13  % Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.J0SVC72MCi true
% 0.13/0.34  % Computer : n019.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34  % CPULimit : 300
% 0.13/0.34  % WCLimit  : 300
% 0.13/0.34  % DateTime : Tue Aug 29 11:16:43 EDT 2023
% 0.13/0.35  % CPUTime  : 
% 0.13/0.35  % Running portfolio for 300 s
% 0.13/0.35  % File         : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.13/0.35  % Number of cores: 8
% 0.13/0.35  % Python version: Python 3.6.8
% 0.13/0.35  % Running in FO mode
% 0.20/0.66  % Total configuration time : 435
% 0.20/0.66  % Estimated wc time : 1092
% 0.20/0.66  % Estimated cpu time (7 cpus) : 156.0
% 0.20/0.71  % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.20/0.74  % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.20/0.74  % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.20/0.74  % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.20/0.74  % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.20/0.75  % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.20/0.76  % Solved by fo/fo6_bce.sh.
% 0.20/0.76  % BCE start: 19
% 0.20/0.76  % BCE eliminated: 2
% 0.20/0.76  % PE start: 17
% 0.20/0.76  logic: eq
% 0.20/0.76  % PE eliminated: 0
% 0.20/0.76  % done 30 iterations in 0.024s
% 0.20/0.76  % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 0.20/0.76  % SZS output start Refutation
% See solution above
% 0.20/0.76  
% 0.20/0.76  
% 0.20/0.76  % Terminating...
% 1.57/0.87  % Runner terminated.
% 1.57/0.88  % Zipperpin 1.5 exiting
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