TSTP Solution File: KLE052+1 by Zipperpin---2.1.9999

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : KLE052+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.gwVfxdnJBu true

% Computer : n016.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 05:38:29 EDT 2023

% Result   : Theorem 0.53s 0.92s
% Output   : Refutation 0.53s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    6
%            Number of leaves      :   11
% Syntax   : Number of formulae    :   24 (  19 unt;   5 typ;   0 def)
%            Number of atoms       :   19 (  18 equ;   0 cnn)
%            Maximal formula atoms :    1 (   1 avg)
%            Number of connectives :   85 (   3   ~;   0   |;   0   &;  82   @)
%                                         (   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     :    7 (   5 usr;   3 con; 0-2 aty)
%            Number of variables   :   24 (   0   ^;  24   !;   0   ?;  24   :)

% Comments : 
%------------------------------------------------------------------------------
thf(multiplication_type,type,
    multiplication: $i > $i > $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] :
      ( ( multiplication @ ( domain @ X0 ) @ X0 )
      = X0 ) ).

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

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

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(domain3,axiom,
    ! [X0: $i] :
      ( ( addition @ ( domain @ X0 ) @ one )
      = one ) ).

thf(zip_derived_cl15,plain,
    ! [X0: $i] :
      ( ( addition @ ( domain @ X0 ) @ one )
      = one ),
    inference(cnf,[status(esa)],[domain3]) ).

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_cl147,plain,
    ! [X0: $i,X1: $i] :
      ( ( multiplication @ one @ X0 )
      = ( addition @ ( multiplication @ ( domain @ X1 ) @ X0 ) @ ( multiplication @ one @ X0 ) ) ),
    inference('sup+',[status(thm)],[zip_derived_cl15,zip_derived_cl8]) ).

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(zip_derived_cl6_001,plain,
    ! [X0: $i] :
      ( ( multiplication @ one @ X0 )
      = X0 ),
    inference(cnf,[status(esa)],[multiplicative_left_identity]) ).

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

thf(zip_derived_cl0,plain,
    ! [X0: $i,X1: $i] :
      ( ( addition @ X1 @ X0 )
      = ( addition @ X0 @ X1 ) ),
    inference(cnf,[status(esa)],[additive_commutativity]) ).

thf(zip_derived_cl154,plain,
    ! [X0: $i,X1: $i] :
      ( X0
      = ( addition @ X0 @ ( multiplication @ ( domain @ X1 ) @ X0 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl147,zip_derived_cl6,zip_derived_cl6,zip_derived_cl0]) ).

thf(zip_derived_cl1124,plain,
    ! [X0: $i] :
      ( X0
      = ( multiplication @ ( domain @ X0 ) @ X0 ) ),
    inference(demod,[status(thm)],[zip_derived_cl13,zip_derived_cl154]) ).

thf(zip_derived_cl1168,plain,
    sk_ != sk_,
    inference(demod,[status(thm)],[zip_derived_cl18,zip_derived_cl1124]) ).

thf(zip_derived_cl1169,plain,
    $false,
    inference(simplify,[status(thm)],[zip_derived_cl1168]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12  % Problem  : KLE052+1 : TPTP v8.1.2. Released v4.0.0.
% 0.06/0.13  % Command  : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.gwVfxdnJBu true
% 0.13/0.33  % Computer : n016.cluster.edu
% 0.13/0.33  % Model    : x86_64 x86_64
% 0.13/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33  % Memory   : 8042.1875MB
% 0.13/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33  % CPULimit : 300
% 0.13/0.33  % WCLimit  : 300
% 0.13/0.33  % DateTime : Tue Aug 29 12:36:31 EDT 2023
% 0.13/0.34  % CPUTime  : 
% 0.13/0.34  % Running portfolio for 300 s
% 0.13/0.34  % File         : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.13/0.34  % Number of cores: 8
% 0.13/0.34  % Python version: Python 3.6.8
% 0.13/0.34  % Running in FO mode
% 0.42/0.61  % Total configuration time : 435
% 0.42/0.61  % Estimated wc time : 1092
% 0.42/0.61  % Estimated cpu time (7 cpus) : 156.0
% 0.52/0.69  % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.52/0.70  % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.52/0.71  % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.52/0.73  % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 0.52/0.73  % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.52/0.73  % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.52/0.73  % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 0.53/0.92  % Solved by fo/fo3_bce.sh.
% 0.53/0.92  % BCE start: 19
% 0.53/0.92  % BCE eliminated: 2
% 0.53/0.92  % PE start: 17
% 0.53/0.92  logic: eq
% 0.53/0.92  % PE eliminated: 0
% 0.53/0.92  % done 120 iterations in 0.194s
% 0.53/0.92  % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 0.53/0.92  % SZS output start Refutation
% See solution above
% 0.53/0.92  
% 0.53/0.92  
% 0.53/0.93  % Terminating...
% 0.58/1.03  % Runner terminated.
% 0.58/1.04  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------