TSTP Solution File: KLE002+1 by Zipperpin---2.1.9999

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : KLE002+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.eX7zpklJFB true

% Computer : n029.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 05:38:12 EDT 2023

% Result   : Theorem 0.60s 0.78s
% Output   : Refutation 0.60s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    5
%            Number of leaves      :    9
% Syntax   : Number of formulae    :   19 (   8 unt;   6 typ;   0 def)
%            Number of atoms       :   18 (   8 equ;   0 cnn)
%            Maximal formula atoms :    2 (   1 avg)
%            Number of connectives :   81 (   6   ~;   2   |;   0   &;  70   @)
%                                         (   1 <=>;   2  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   10 (   5 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :    6 (   6   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :    8 (   6 usr;   4 con; 0-2 aty)
%            Number of variables   :   18 (   0   ^;  18   !;   0   ?;  18   :)

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

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

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

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

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

thf(leq_type,type,
    leq: $i > $i > $o ).

thf(order,axiom,
    ! [A: $i,B: $i] :
      ( ( leq @ A @ B )
    <=> ( ( addition @ A @ B )
        = B ) ) ).

thf(zip_derived_cl12,plain,
    ! [X0: $i,X1: $i] :
      ( ( leq @ X0 @ X1 )
      | ( ( addition @ X0 @ X1 )
       != X1 ) ),
    inference(cnf,[status(esa)],[order]) ).

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

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

thf(zip_derived_cl13,plain,
    ~ ( leq @ ( multiplication @ sk_ @ sk__2 ) @ ( multiplication @ sk__1 @ sk__2 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl28,plain,
    ( ( addition @ ( multiplication @ sk_ @ sk__2 ) @ ( multiplication @ sk__1 @ sk__2 ) )
   != ( multiplication @ sk__1 @ sk__2 ) ),
    inference('dp-resolution',[status(thm)],[zip_derived_cl12,zip_derived_cl13]) ).

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_cl14,plain,
    leq @ sk_ @ sk__1,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl11,plain,
    ! [X0: $i,X1: $i] :
      ( ( ( addition @ X1 @ X0 )
        = X0 )
      | ~ ( leq @ X1 @ X0 ) ),
    inference(cnf,[status(esa)],[order]) ).

thf(zip_derived_cl29,plain,
    ( ( addition @ sk_ @ sk__1 )
    = sk__1 ),
    inference('dp-resolution',[status(thm)],[zip_derived_cl14,zip_derived_cl11]) ).

thf(zip_derived_cl92,plain,
    ( ( multiplication @ sk__1 @ sk__2 )
   != ( multiplication @ sk__1 @ sk__2 ) ),
    inference(demod,[status(thm)],[zip_derived_cl28,zip_derived_cl8,zip_derived_cl29]) ).

thf(zip_derived_cl93,plain,
    $false,
    inference(simplify,[status(thm)],[zip_derived_cl92]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13  % Problem  : KLE002+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.eX7zpklJFB true
% 0.14/0.35  % Computer : n029.cluster.edu
% 0.14/0.35  % Model    : x86_64 x86_64
% 0.14/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35  % Memory   : 8042.1875MB
% 0.14/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35  % CPULimit : 300
% 0.14/0.35  % WCLimit  : 300
% 0.14/0.35  % DateTime : Tue Aug 29 12:17:11 EDT 2023
% 0.14/0.36  % CPUTime  : 
% 0.14/0.36  % Running portfolio for 300 s
% 0.14/0.36  % File         : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.14/0.36  % Number of cores: 8
% 0.14/0.36  % Python version: Python 3.6.8
% 0.14/0.36  % Running in FO mode
% 0.58/0.68  % Total configuration time : 435
% 0.58/0.68  % Estimated wc time : 1092
% 0.58/0.68  % Estimated cpu time (7 cpus) : 156.0
% 0.59/0.74  % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.59/0.74  % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.59/0.74  % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.59/0.74  % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.59/0.76  % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.59/0.76  % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 0.59/0.76  % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 0.60/0.78  % Solved by fo/fo6_bce.sh.
% 0.60/0.78  % BCE start: 15
% 0.60/0.78  % BCE eliminated: 0
% 0.60/0.78  % PE start: 15
% 0.60/0.78  logic: eq
% 0.60/0.78  % PE eliminated: 1
% 0.60/0.78  % done 17 iterations in 0.018s
% 0.60/0.78  % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 0.60/0.78  % SZS output start Refutation
% See solution above
% 0.60/0.78  
% 0.60/0.78  
% 0.60/0.78  % Terminating...
% 0.62/0.87  % Runner terminated.
% 0.62/0.88  % Zipperpin 1.5 exiting
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