TSTP Solution File: KLE089+1 by Zipperpin---2.1.9999

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : KLE089+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.YuWWJsazME true

% Computer : n028.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 05:38:36 EDT 2023

% Result   : Theorem 0.56s 0.81s
% Output   : Refutation 0.56s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    7
%            Number of leaves      :   15
% Syntax   : Number of formulae    :   38 (  29 unt;   7 typ;   0 def)
%            Number of atoms       :   33 (  32 equ;   0 cnn)
%            Maximal formula atoms :    2 (   1 avg)
%            Number of connectives :  158 (   3   ~;   0   |;   0   &; 153   @)
%                                         (   0 <=>;   2  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    5 (   2 avg)
%            Number of types       :    1 (   0 usr)
%            Number of type conns  :    6 (   6   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :    9 (   7 usr;   4 con; 0-2 aty)
%            Number of variables   :   40 (   0   ^;  40   !;   0   ?;  40   :)

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

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

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

thf(antidomain_type,type,
    antidomain: $i > $i ).

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

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

thf(zero_type,type,
    zero: $i ).

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

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

thf(zip_derived_cl21,plain,
    ( ( addition @ ( domain @ sk_ ) @ ( antidomain @ sk__1 ) )
    = ( antidomain @ sk__1 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(domain4,axiom,
    ! [X0: $i] :
      ( ( domain @ X0 )
      = ( antidomain @ ( antidomain @ X0 ) ) ) ).

thf(zip_derived_cl16,plain,
    ! [X0: $i] :
      ( ( domain @ X0 )
      = ( antidomain @ ( antidomain @ X0 ) ) ),
    inference(cnf,[status(esa)],[domain4]) ).

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_cl63,plain,
    ( ( addition @ ( antidomain @ sk__1 ) @ ( antidomain @ ( antidomain @ sk_ ) ) )
    = ( antidomain @ sk__1 ) ),
    inference(demod,[status(thm)],[zip_derived_cl21,zip_derived_cl16,zip_derived_cl0]) ).

thf(zip_derived_cl0_001,plain,
    ! [X0: $i,X1: $i] :
      ( ( addition @ X1 @ X0 )
      = ( addition @ X0 @ X1 ) ),
    inference(cnf,[status(esa)],[additive_commutativity]) ).

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

thf(zip_derived_cl3,plain,
    ! [X0: $i] :
      ( ( addition @ X0 @ X0 )
      = X0 ),
    inference(cnf,[status(esa)],[additive_idempotence]) ).

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

thf(zip_derived_cl1,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( addition @ X0 @ ( addition @ X1 @ X2 ) )
      = ( addition @ ( addition @ X0 @ X1 ) @ X2 ) ),
    inference(cnf,[status(esa)],[additive_associativity]) ).

thf(zip_derived_cl40,plain,
    ! [X0: $i,X1: $i] :
      ( ( addition @ X0 @ ( addition @ X0 @ X1 ) )
      = ( addition @ X0 @ X1 ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl3,zip_derived_cl1]) ).

thf(zip_derived_cl233,plain,
    ! [X0: $i,X1: $i] :
      ( ( addition @ X0 @ ( addition @ X1 @ X0 ) )
      = ( addition @ X1 @ X0 ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl0,zip_derived_cl40]) ).

thf(zip_derived_cl321,plain,
    ( ( addition @ ( antidomain @ ( antidomain @ sk_ ) ) @ ( antidomain @ sk__1 ) )
    = ( antidomain @ sk__1 ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl63,zip_derived_cl233]) ).

thf(domain1,axiom,
    ! [X0: $i] :
      ( ( multiplication @ ( antidomain @ X0 ) @ X0 )
      = zero ) ).

thf(zip_derived_cl13,plain,
    ! [X0: $i] :
      ( ( multiplication @ ( antidomain @ X0 ) @ X0 )
      = zero ),
    inference(cnf,[status(esa)],[domain1]) ).

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_cl125,plain,
    ! [X0: $i,X1: $i] :
      ( ( multiplication @ ( addition @ X1 @ ( antidomain @ X0 ) ) @ X0 )
      = ( addition @ ( multiplication @ X1 @ X0 ) @ zero ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl13,zip_derived_cl8]) ).

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_cl135,plain,
    ! [X0: $i,X1: $i] :
      ( ( multiplication @ ( addition @ X1 @ ( antidomain @ X0 ) ) @ X0 )
      = ( multiplication @ X1 @ X0 ) ),
    inference(demod,[status(thm)],[zip_derived_cl125,zip_derived_cl2]) ).

thf(zip_derived_cl697,plain,
    ( ( multiplication @ ( antidomain @ sk__1 ) @ sk__1 )
    = ( multiplication @ ( antidomain @ ( antidomain @ sk_ ) ) @ sk__1 ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl321,zip_derived_cl135]) ).

thf(zip_derived_cl13_002,plain,
    ! [X0: $i] :
      ( ( multiplication @ ( antidomain @ X0 ) @ X0 )
      = zero ),
    inference(cnf,[status(esa)],[domain1]) ).

thf(zip_derived_cl711,plain,
    ( zero
    = ( multiplication @ ( antidomain @ ( antidomain @ sk_ ) ) @ sk__1 ) ),
    inference(demod,[status(thm)],[zip_derived_cl697,zip_derived_cl13]) ).

thf(zip_derived_cl22,plain,
    ( ( multiplication @ ( domain @ sk_ ) @ sk__1 )
   != zero ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl16_003,plain,
    ! [X0: $i] :
      ( ( domain @ X0 )
      = ( antidomain @ ( antidomain @ X0 ) ) ),
    inference(cnf,[status(esa)],[domain4]) ).

thf(zip_derived_cl64,plain,
    ( ( multiplication @ ( antidomain @ ( antidomain @ sk_ ) ) @ sk__1 )
   != zero ),
    inference(demod,[status(thm)],[zip_derived_cl22,zip_derived_cl16]) ).

thf(zip_derived_cl712,plain,
    $false,
    inference('simplify_reflect-',[status(thm)],[zip_derived_cl711,zip_derived_cl64]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : KLE089+1 : TPTP v8.1.2. Released v4.0.0.
% 0.07/0.13  % Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.YuWWJsazME true
% 0.13/0.34  % Computer : n028.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 11:41:26 EDT 2023
% 0.13/0.34  % CPUTime  : 
% 0.13/0.34  % Running portfolio for 300 s
% 0.13/0.34  % 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
% 0.52/0.63  % Total configuration time : 435
% 0.52/0.63  % Estimated wc time : 1092
% 0.52/0.63  % Estimated cpu time (7 cpus) : 156.0
% 0.52/0.71  % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.52/0.71  % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.55/0.72  % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.55/0.73  % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.55/0.75  % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.55/0.75  % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.55/0.75  % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 0.56/0.81  % Solved by fo/fo6_bce.sh.
% 0.56/0.81  % BCE start: 23
% 0.56/0.81  % BCE eliminated: 2
% 0.56/0.81  % PE start: 21
% 0.56/0.81  logic: eq
% 0.56/0.81  % PE eliminated: 0
% 0.56/0.81  % done 127 iterations in 0.084s
% 0.56/0.81  % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 0.56/0.81  % SZS output start Refutation
% See solution above
% 0.56/0.81  
% 0.56/0.81  
% 0.56/0.81  % Terminating...
% 1.47/0.85  % Runner terminated.
% 1.47/0.86  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------