TSTP Solution File: MGT044+1 by Zipperpin---2.1.9999

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : MGT044+1 : TPTP v8.1.2. Released v2.4.0.
% Transfm  : NO INFORMATION
% Format   : NO INFORMATION
% Command  : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.gBF4G6sLOG true

% Computer : n017.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 09:20:30 EDT 2023

% Result   : Theorem 1.19s 0.82s
% Output   : Refutation 1.19s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    6
%            Number of leaves      :   16
% Syntax   : Number of formulae    :   34 (   9 unt;  11 typ;   0 def)
%            Number of atoms       :   55 (  10 equ;   0 cnn)
%            Maximal formula atoms :   10 (   2 avg)
%            Number of connectives :  273 (  17   ~;  15   |;   8   &; 224   @)
%                                         (   1 <=>;   8  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   13 (   7 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :   15 (  15   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   13 (  11 usr;   4 con; 0-2 aty)
%            Number of variables   :   39 (   0   ^;  39   !;   0   ?;  39   :)

% Comments : 
%------------------------------------------------------------------------------
thf(greater_type,type,
    greater: $i > $i > $o ).

thf(stock_of_knowledge_type,type,
    stock_of_knowledge: $i > $i > $i ).

thf(capability_type,type,
    capability: $i > $i > $i ).

thf(internal_friction_type,type,
    internal_friction: $i > $i > $i ).

thf(age_type,type,
    age: $i > $i > $i ).

thf(smaller_type,type,
    smaller: $i > $i > $o ).

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

thf(smaller_or_equal_type,type,
    smaller_or_equal: $i > $i > $o ).

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

thf(organization_type,type,
    organization: $i > $o ).

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

thf(lemma_3,conjecture,
    ! [X: $i,T0: $i,T: $i] :
      ( ( ( organization @ X )
        & ( greater @ ( age @ X @ T ) @ ( age @ X @ T0 ) ) )
     => ( greater @ ( capability @ X @ T ) @ ( capability @ X @ T0 ) ) ) ).

thf(zf_stmt_0,negated_conjecture,
    ~ ! [X: $i,T0: $i,T: $i] :
        ( ( ( organization @ X )
          & ( greater @ ( age @ X @ T ) @ ( age @ X @ T0 ) ) )
       => ( greater @ ( capability @ X @ T ) @ ( capability @ X @ T0 ) ) ),
    inference('cnf.neg',[status(esa)],[lemma_3]) ).

thf(zip_derived_cl16,plain,
    ~ ( greater @ ( capability @ sk_ @ sk__2 ) @ ( capability @ sk_ @ sk__1 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl18,plain,
    organization @ sk_,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(definition_smaller_or_equal,axiom,
    ! [X: $i,Y: $i] :
      ( ( smaller_or_equal @ X @ Y )
    <=> ( ( smaller @ X @ Y )
        | ( X = Y ) ) ) ).

thf(zip_derived_cl2,plain,
    ! [X0: $i,X1: $i] :
      ( ( smaller_or_equal @ X0 @ X1 )
      | ( X0 != X1 ) ),
    inference(cnf,[status(esa)],[definition_smaller_or_equal]) ).

thf(assumption_5,axiom,
    ! [X: $i,T0: $i,T: $i] :
      ( ( organization @ X )
     => ( ( ( ( greater @ ( stock_of_knowledge @ X @ T ) @ ( stock_of_knowledge @ X @ T0 ) )
            & ( smaller_or_equal @ ( internal_friction @ X @ T ) @ ( internal_friction @ X @ T0 ) ) )
         => ( greater @ ( capability @ X @ T ) @ ( capability @ X @ T0 ) ) )
        & ( ( ( smaller_or_equal @ ( stock_of_knowledge @ X @ T ) @ ( stock_of_knowledge @ X @ T0 ) )
            & ( greater @ ( internal_friction @ X @ T ) @ ( internal_friction @ X @ T0 ) ) )
         => ( smaller @ ( capability @ X @ T ) @ ( capability @ X @ T0 ) ) )
        & ( ( ( ( stock_of_knowledge @ X @ T )
              = ( stock_of_knowledge @ X @ T0 ) )
            & ( ( internal_friction @ X @ T )
              = ( internal_friction @ X @ T0 ) ) )
         => ( ( capability @ X @ T )
            = ( capability @ X @ T0 ) ) ) ) ) ).

thf(zip_derived_cl11,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ~ ( organization @ X0 )
      | ( greater @ ( capability @ X0 @ X1 ) @ ( capability @ X0 @ X2 ) )
      | ~ ( smaller_or_equal @ ( internal_friction @ X0 @ X1 ) @ ( internal_friction @ X0 @ X2 ) )
      | ~ ( greater @ ( stock_of_knowledge @ X0 @ X1 ) @ ( stock_of_knowledge @ X0 @ X2 ) ) ),
    inference(cnf,[status(esa)],[assumption_5]) ).

thf(zip_derived_cl101,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( ( internal_friction @ X1 @ X2 )
       != ( internal_friction @ X1 @ X0 ) )
      | ~ ( greater @ ( stock_of_knowledge @ X1 @ X2 ) @ ( stock_of_knowledge @ X1 @ X0 ) )
      | ( greater @ ( capability @ X1 @ X2 ) @ ( capability @ X1 @ X0 ) )
      | ~ ( organization @ X1 ) ),
    inference('dp-resolution',[status(thm)],[zip_derived_cl2,zip_derived_cl11]) ).

thf(zip_derived_cl108,plain,
    ! [X0: $i,X1: $i] :
      ( ( greater @ ( capability @ sk_ @ X0 ) @ ( capability @ sk_ @ X1 ) )
      | ~ ( greater @ ( stock_of_knowledge @ sk_ @ X0 ) @ ( stock_of_knowledge @ sk_ @ X1 ) )
      | ( ( internal_friction @ sk_ @ X0 )
       != ( internal_friction @ sk_ @ X1 ) ) ),
    inference('dp-resolution',[status(thm)],[zip_derived_cl18,zip_derived_cl101]) ).

thf(zip_derived_cl18_001,plain,
    organization @ sk_,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(assumption_9,axiom,
    ! [X: $i,T0: $i,T: $i] :
      ( ( organization @ X )
     => ( ( internal_friction @ X @ T )
        = ( internal_friction @ X @ T0 ) ) ) ).

thf(zip_derived_cl15,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ~ ( organization @ X0 )
      | ( ( internal_friction @ X0 @ X2 )
        = ( internal_friction @ X0 @ X1 ) ) ),
    inference(cnf,[status(esa)],[assumption_9]) ).

thf(zip_derived_cl105,plain,
    ! [X0: $i,X1: $i] :
      ( ( internal_friction @ sk_ @ X0 )
      = ( internal_friction @ sk_ @ X1 ) ),
    inference('dp-resolution',[status(thm)],[zip_derived_cl18,zip_derived_cl15]) ).

thf(zip_derived_cl234,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( greater @ ( stock_of_knowledge @ sk_ @ X0 ) @ ( stock_of_knowledge @ sk_ @ X1 ) )
      | ( greater @ ( capability @ sk_ @ X0 ) @ ( capability @ sk_ @ X1 ) ) ),
    inference('simplify_reflect+',[status(thm)],[zip_derived_cl108,zip_derived_cl105]) ).

thf(zip_derived_cl244,plain,
    ~ ( greater @ ( stock_of_knowledge @ sk_ @ sk__2 ) @ ( stock_of_knowledge @ sk_ @ sk__1 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl16,zip_derived_cl234]) ).

thf(zip_derived_cl18_002,plain,
    organization @ sk_,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(assumption_7,axiom,
    ! [X: $i,T0: $i,T: $i] :
      ( ( ( organization @ X )
        & ( greater @ ( age @ X @ T ) @ ( age @ X @ T0 ) ) )
     => ( greater @ ( stock_of_knowledge @ X @ T ) @ ( stock_of_knowledge @ X @ T0 ) ) ) ).

thf(zip_derived_cl14,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ~ ( organization @ X0 )
      | ~ ( greater @ ( age @ X0 @ X1 ) @ ( age @ X0 @ X2 ) )
      | ( greater @ ( stock_of_knowledge @ X0 @ X1 ) @ ( stock_of_knowledge @ X0 @ X2 ) ) ),
    inference(cnf,[status(esa)],[assumption_7]) ).

thf(zip_derived_cl104,plain,
    ! [X0: $i,X1: $i] :
      ( ( greater @ ( stock_of_knowledge @ sk_ @ X1 ) @ ( stock_of_knowledge @ sk_ @ X0 ) )
      | ~ ( greater @ ( age @ sk_ @ X1 ) @ ( age @ sk_ @ X0 ) ) ),
    inference('dp-resolution',[status(thm)],[zip_derived_cl18,zip_derived_cl14]) ).

thf(zip_derived_cl17,plain,
    greater @ ( age @ sk_ @ sk__2 ) @ ( age @ sk_ @ sk__1 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl169,plain,
    greater @ ( stock_of_knowledge @ sk_ @ sk__2 ) @ ( stock_of_knowledge @ sk_ @ sk__1 ),
    inference('sup+',[status(thm)],[zip_derived_cl104,zip_derived_cl17]) ).

thf(zip_derived_cl245,plain,
    $false,
    inference(demod,[status(thm)],[zip_derived_cl244,zip_derived_cl169]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13  % Problem  : MGT044+1 : TPTP v8.1.2. Released v2.4.0.
% 0.13/0.14  % Command  : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.gBF4G6sLOG true
% 0.14/0.36  % Computer : n017.cluster.edu
% 0.14/0.36  % Model    : x86_64 x86_64
% 0.14/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36  % Memory   : 8042.1875MB
% 0.14/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36  % CPULimit : 300
% 0.14/0.36  % WCLimit  : 300
% 0.14/0.36  % DateTime : Mon Aug 28 05:59:12 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
% 0.14/0.37  % Running in FO mode
% 0.22/0.67  % Total configuration time : 435
% 0.22/0.67  % Estimated wc time : 1092
% 0.22/0.67  % Estimated cpu time (7 cpus) : 156.0
% 0.91/0.75  % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.91/0.76  % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.91/0.78  % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.91/0.79  % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 1.19/0.82  % Solved by fo/fo3_bce.sh.
% 1.19/0.82  % BCE start: 19
% 1.19/0.82  % BCE eliminated: 1
% 1.19/0.82  % PE start: 18
% 1.19/0.82  logic: eq
% 1.19/0.82  % PE eliminated: 4
% 1.19/0.82  % done 71 iterations in 0.033s
% 1.19/0.82  % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 1.19/0.82  % SZS output start Refutation
% See solution above
% 1.19/0.82  
% 1.19/0.82  
% 1.19/0.82  % Terminating...
% 1.30/0.88  % Runner terminated.
% 1.30/0.89  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------