TSTP Solution File: KLE067+1 by Zipperpin---2.1.9999

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : KLE067+1 : TPTP v8.1.2. Released v4.0.0.
% Transfm  : NO INFORMATION
% Format   : NO INFORMATION
% Command  : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.wMg7Qvi83b true

% Computer : n004.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 1.16s 0.77s
% Output   : Refutation 1.16s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    5
%            Number of leaves      :   10
% Syntax   : Number of formulae    :   22 (  16 unt;   6 typ;   0 def)
%            Number of atoms       :   16 (  15 equ;   0 cnn)
%            Maximal formula atoms :    1 (   1 avg)
%            Number of connectives :   93 (   4   ~;   0   |;   0   &;  89   @)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    4 (   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   :   19 (   0   ^;  19   !;   0   ?;  19   :)

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

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

thf(one_type,type,
    one: $i ).

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

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

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

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

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

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

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(zip_derived_cl17_001,plain,
    ! [X0: $i,X1: $i] :
      ( ( domain @ ( addition @ X0 @ X1 ) )
      = ( addition @ ( domain @ X0 ) @ ( domain @ X1 ) ) ),
    inference(cnf,[status(esa)],[domain5]) ).

thf(zip_derived_cl73,plain,
    ( ( domain @ ( domain @ ( addition @ sk_ @ sk__1 ) ) )
   != ( domain @ ( addition @ sk_ @ sk__1 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl18,zip_derived_cl17,zip_derived_cl17]) ).

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

thf(zip_derived_cl6,plain,
    ! [X0: $i] :
      ( ( multiplication @ one @ X0 )
      = X0 ),
    inference(cnf,[status(esa)],[multiplicative_left_identity]) ).

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_cl64,plain,
    ! [X0: $i] :
      ( ( domain @ ( multiplication @ one @ X0 ) )
      = ( domain @ ( domain @ X0 ) ) ),
    inference('sup+',[status(thm)],[zip_derived_cl6,zip_derived_cl14]) ).

thf(zip_derived_cl6_002,plain,
    ! [X0: $i] :
      ( ( multiplication @ one @ X0 )
      = X0 ),
    inference(cnf,[status(esa)],[multiplicative_left_identity]) ).

thf(zip_derived_cl69,plain,
    ! [X0: $i] :
      ( ( domain @ X0 )
      = ( domain @ ( domain @ X0 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl64,zip_derived_cl6]) ).

thf(zip_derived_cl119,plain,
    ( ( domain @ ( addition @ sk_ @ sk__1 ) )
   != ( domain @ ( addition @ sk_ @ sk__1 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl73,zip_derived_cl69]) ).

thf(zip_derived_cl120,plain,
    $false,
    inference(simplify,[status(thm)],[zip_derived_cl119]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13  % Problem  : KLE067+1 : TPTP v8.1.2. Released v4.0.0.
% 0.07/0.14  % Command  : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.wMg7Qvi83b true
% 0.13/0.35  % Computer : n004.cluster.edu
% 0.13/0.35  % Model    : x86_64 x86_64
% 0.13/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35  % Memory   : 8042.1875MB
% 0.13/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35  % CPULimit : 300
% 0.13/0.35  % WCLimit  : 300
% 0.13/0.35  % DateTime : Tue Aug 29 12:13:22 EDT 2023
% 0.13/0.35  % CPUTime  : 
% 0.13/0.35  % Running portfolio for 300 s
% 0.13/0.35  % File         : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.13/0.36  % Number of cores: 8
% 0.13/0.36  % Python version: Python 3.6.8
% 0.13/0.36  % Running in FO mode
% 0.22/0.65  % Total configuration time : 435
% 0.22/0.65  % Estimated wc time : 1092
% 0.22/0.65  % Estimated cpu time (7 cpus) : 156.0
% 0.90/0.73  % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.90/0.73  % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 1.16/0.73  % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 1.16/0.74  % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 1.16/0.75  % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 1.16/0.75  % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 1.16/0.77  % Solved by fo/fo3_bce.sh.
% 1.16/0.77  % BCE start: 19
% 1.16/0.77  % BCE eliminated: 2
% 1.16/0.77  % PE start: 17
% 1.16/0.77  logic: eq
% 1.16/0.77  % PE eliminated: 0
% 1.16/0.77  % done 23 iterations in 0.018s
% 1.16/0.77  % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 1.16/0.77  % SZS output start Refutation
% See solution above
% 1.16/0.77  
% 1.16/0.77  
% 1.16/0.78  % Terminating...
% 1.44/0.85  % Runner terminated.
% 1.44/0.86  % Zipperpin 1.5 exiting
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