TSTP Solution File: KLE054+1 by Zipperpin---2.1.9999

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : KLE054+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.hSQkRR5g17 true

% Computer : n007.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 05:38:30 EDT 2023

% Result   : Theorem 0.59s 0.98s
% Output   : Refutation 0.59s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   10
%            Number of leaves      :   14
% Syntax   : Number of formulae    :   41 (  35 unt;   6 typ;   0 def)
%            Number of atoms       :   35 (  34 equ;   0 cnn)
%            Maximal formula atoms :    1 (   1 avg)
%            Number of connectives :  186 (   5   ~;   0   |;   0   &; 181   @)
%                                         (   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   :   46 (   0   ^;  46   !;   0   ?;  46   :)

% 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] :
      ( ( addition @ ( domain @ ( multiplication @ X0 @ X1 ) ) @ ( domain @ X0 ) )
      = ( domain @ X0 ) ) ).

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

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

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_cl25,plain,
    ( ( addition @ ( domain @ sk_ ) @ ( domain @ ( multiplication @ sk_ @ sk__1 ) ) )
   != ( domain @ sk_ ) ),
    inference(demod,[status(thm)],[zip_derived_cl18,zip_derived_cl0]) ).

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_cl140,plain,
    ( ( domain @ ( addition @ sk_ @ ( multiplication @ sk_ @ sk__1 ) ) )
   != ( domain @ sk_ ) ),
    inference(demod,[status(thm)],[zip_derived_cl25,zip_derived_cl17]) ).

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

thf(zip_derived_cl5,plain,
    ! [X0: $i] :
      ( ( multiplication @ X0 @ one )
      = X0 ),
    inference(cnf,[status(esa)],[multiplicative_right_identity]) ).

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

thf(zip_derived_cl7,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( multiplication @ X0 @ ( addition @ X1 @ X2 ) )
      = ( addition @ ( multiplication @ X0 @ X1 ) @ ( multiplication @ X0 @ X2 ) ) ),
    inference(cnf,[status(esa)],[right_distributivity]) ).

thf(zip_derived_cl71,plain,
    ! [X0: $i,X1: $i] :
      ( ( multiplication @ X0 @ ( addition @ one @ X1 ) )
      = ( addition @ X0 @ ( multiplication @ X0 @ X1 ) ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl5,zip_derived_cl7]) ).

thf(zip_derived_cl5_001,plain,
    ! [X0: $i] :
      ( ( multiplication @ X0 @ one )
      = X0 ),
    inference(cnf,[status(esa)],[multiplicative_right_identity]) ).

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_cl134,plain,
    ( ( addition @ one @ ( domain @ one ) )
    = ( domain @ one ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl5,zip_derived_cl13]) ).

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(zip_derived_cl0_002,plain,
    ! [X0: $i,X1: $i] :
      ( ( addition @ X1 @ X0 )
      = ( addition @ X0 @ X1 ) ),
    inference(cnf,[status(esa)],[additive_commutativity]) ).

thf(zip_derived_cl42,plain,
    ! [X0: $i] :
      ( ( addition @ one @ ( domain @ X0 ) )
      = one ),
    inference('s_sup+',[status(thm)],[zip_derived_cl15,zip_derived_cl0]) ).

thf(zip_derived_cl138,plain,
    ( one
    = ( domain @ one ) ),
    inference(demod,[status(thm)],[zip_derived_cl134,zip_derived_cl42]) ).

thf(zip_derived_cl17_003,plain,
    ! [X0: $i,X1: $i] :
      ( ( domain @ ( addition @ X0 @ X1 ) )
      = ( addition @ ( domain @ X0 ) @ ( domain @ X1 ) ) ),
    inference(cnf,[status(esa)],[domain5]) ).

thf(zip_derived_cl160,plain,
    ! [X0: $i] :
      ( ( domain @ ( addition @ one @ X0 ) )
      = ( addition @ one @ ( domain @ X0 ) ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl138,zip_derived_cl17]) ).

thf(zip_derived_cl42_004,plain,
    ! [X0: $i] :
      ( ( addition @ one @ ( domain @ X0 ) )
      = one ),
    inference('s_sup+',[status(thm)],[zip_derived_cl15,zip_derived_cl0]) ).

thf(zip_derived_cl166,plain,
    ! [X0: $i] :
      ( ( domain @ ( addition @ one @ X0 ) )
      = one ),
    inference(demod,[status(thm)],[zip_derived_cl160,zip_derived_cl42]) ).

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_cl307,plain,
    ! [X0: $i,X1: $i] :
      ( ( domain @ ( multiplication @ X1 @ ( addition @ one @ X0 ) ) )
      = ( domain @ ( multiplication @ X1 @ one ) ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl166,zip_derived_cl14]) ).

thf(zip_derived_cl5_005,plain,
    ! [X0: $i] :
      ( ( multiplication @ X0 @ one )
      = X0 ),
    inference(cnf,[status(esa)],[multiplicative_right_identity]) ).

thf(zip_derived_cl323,plain,
    ! [X0: $i,X1: $i] :
      ( ( domain @ ( multiplication @ X1 @ ( addition @ one @ X0 ) ) )
      = ( domain @ X1 ) ),
    inference(demod,[status(thm)],[zip_derived_cl307,zip_derived_cl5]) ).

thf(zip_derived_cl740,plain,
    ! [X0: $i,X1: $i] :
      ( ( domain @ ( addition @ X1 @ ( multiplication @ X1 @ X0 ) ) )
      = ( domain @ X1 ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl71,zip_derived_cl323]) ).

thf(zip_derived_cl985,plain,
    ( ( domain @ sk_ )
   != ( domain @ sk_ ) ),
    inference(demod,[status(thm)],[zip_derived_cl140,zip_derived_cl740]) ).

thf(zip_derived_cl986,plain,
    $false,
    inference(simplify,[status(thm)],[zip_derived_cl985]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13  % Problem  : KLE054+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.hSQkRR5g17 true
% 0.15/0.35  % Computer : n007.cluster.edu
% 0.15/0.35  % Model    : x86_64 x86_64
% 0.15/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.35  % Memory   : 8042.1875MB
% 0.15/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.15/0.35  % CPULimit : 300
% 0.15/0.35  % WCLimit  : 300
% 0.15/0.35  % DateTime : Tue Aug 29 11:33:58 EDT 2023
% 0.15/0.35  % CPUTime  : 
% 0.15/0.35  % Running portfolio for 300 s
% 0.15/0.35  % File         : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.15/0.35  % Number of cores: 8
% 0.15/0.35  % Python version: Python 3.6.8
% 0.15/0.36  % Running in FO mode
% 0.55/0.68  % Total configuration time : 435
% 0.55/0.68  % Estimated wc time : 1092
% 0.55/0.68  % Estimated cpu time (7 cpus) : 156.0
% 0.58/0.74  % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.58/0.74  % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.58/0.77  % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.58/0.77  % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.58/0.78  % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.58/0.78  % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 0.59/0.79  % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 0.59/0.98  % Solved by fo/fo6_bce.sh.
% 0.59/0.98  % BCE start: 19
% 0.59/0.98  % BCE eliminated: 2
% 0.59/0.98  % PE start: 17
% 0.59/0.98  logic: eq
% 0.59/0.98  % PE eliminated: 0
% 0.59/0.98  % done 117 iterations in 0.223s
% 0.59/0.98  % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 0.59/0.98  % SZS output start Refutation
% See solution above
% 0.59/0.98  
% 0.59/0.98  
% 0.59/0.98  % Terminating...
% 1.74/1.18  % Runner terminated.
% 1.74/1.18  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------