TSTP Solution File: MGT048+1 by Zipperpin---2.1.9999

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : MGT048+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.8W2b3Ru6ZP true

% Computer : n006.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 09:20:32 EDT 2023

% Result   : Theorem 0.20s 0.75s
% Output   : Refutation 0.20s
% 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(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(age_type,type,
    age: $i > $i > $i ).

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

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

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

thf(lemma_5,conjecture,
    ! [X: $i,T0: $i,T: $i] :
      ( ( ( organization @ X )
        & ( greater @ ( age @ X @ T ) @ ( age @ X @ T0 ) ) )
     => ( smaller @ ( 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 ) ) )
       => ( smaller @ ( capability @ X @ T ) @ ( capability @ X @ T0 ) ) ),
    inference('cnf.neg',[status(esa)],[lemma_5]) ).

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_cl12,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ~ ( organization @ X0 )
      | ( smaller @ ( capability @ X0 @ X1 ) @ ( capability @ X0 @ X2 ) )
      | ~ ( greater @ ( internal_friction @ X0 @ X1 ) @ ( internal_friction @ X0 @ X2 ) )
      | ~ ( smaller_or_equal @ ( 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] :
      ( ( ( stock_of_knowledge @ X1 @ X2 )
       != ( stock_of_knowledge @ X1 @ X0 ) )
      | ~ ( greater @ ( internal_friction @ X1 @ X2 ) @ ( internal_friction @ X1 @ X0 ) )
      | ( smaller @ ( capability @ X1 @ X2 ) @ ( capability @ X1 @ X0 ) )
      | ~ ( organization @ X1 ) ),
    inference('dp-resolution',[status(thm)],[zip_derived_cl2,zip_derived_cl12]) ).

thf(zip_derived_cl108,plain,
    ! [X0: $i,X1: $i] :
      ( ( smaller @ ( capability @ sk_ @ X0 ) @ ( capability @ sk_ @ X1 ) )
      | ~ ( greater @ ( internal_friction @ sk_ @ X0 ) @ ( internal_friction @ sk_ @ X1 ) )
      | ( ( stock_of_knowledge @ sk_ @ X0 )
       != ( stock_of_knowledge @ 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_10,axiom,
    ! [X: $i,T0: $i,T: $i] :
      ( ( organization @ X )
     => ( ( stock_of_knowledge @ X @ T )
        = ( stock_of_knowledge @ X @ T0 ) ) ) ).

thf(zip_derived_cl14,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ~ ( organization @ X0 )
      | ( ( stock_of_knowledge @ X0 @ X2 )
        = ( stock_of_knowledge @ X0 @ X1 ) ) ),
    inference(cnf,[status(esa)],[assumption_10]) ).

thf(zip_derived_cl103,plain,
    ! [X0: $i,X1: $i] :
      ( ( stock_of_knowledge @ sk_ @ X0 )
      = ( stock_of_knowledge @ sk_ @ X1 ) ),
    inference('dp-resolution',[status(thm)],[zip_derived_cl18,zip_derived_cl14]) ).

thf(zip_derived_cl194,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( greater @ ( internal_friction @ sk_ @ X0 ) @ ( internal_friction @ sk_ @ X1 ) )
      | ( smaller @ ( capability @ sk_ @ X0 ) @ ( capability @ sk_ @ X1 ) ) ),
    inference('simplify_reflect+',[status(thm)],[zip_derived_cl108,zip_derived_cl103]) ).

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

thf(zip_derived_cl196,plain,
    ~ ( greater @ ( internal_friction @ sk_ @ sk__2 ) @ ( internal_friction @ sk_ @ sk__1 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl194,zip_derived_cl16]) ).

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

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

thf(assumption_12,axiom,
    ! [X: $i,T0: $i,T: $i] :
      ( ( ( organization @ X )
        & ( greater @ ( age @ X @ T ) @ ( age @ X @ T0 ) ) )
     => ( greater @ ( internal_friction @ X @ T ) @ ( internal_friction @ X @ T0 ) ) ) ).

thf(zip_derived_cl15,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ~ ( organization @ X0 )
      | ~ ( greater @ ( age @ X0 @ X1 ) @ ( age @ X0 @ X2 ) )
      | ( greater @ ( internal_friction @ X0 @ X1 ) @ ( internal_friction @ X0 @ X2 ) ) ),
    inference(cnf,[status(esa)],[assumption_12]) ).

thf(zip_derived_cl104,plain,
    ! [X0: $i,X1: $i] :
      ( ( greater @ ( internal_friction @ sk_ @ X1 ) @ ( internal_friction @ sk_ @ X0 ) )
      | ~ ( greater @ ( age @ sk_ @ X1 ) @ ( age @ sk_ @ X0 ) ) ),
    inference('dp-resolution',[status(thm)],[zip_derived_cl18,zip_derived_cl15]) ).

thf(zip_derived_cl146,plain,
    greater @ ( internal_friction @ sk_ @ sk__2 ) @ ( internal_friction @ sk_ @ sk__1 ),
    inference('s_sup-',[status(thm)],[zip_derived_cl17,zip_derived_cl104]) ).

thf(zip_derived_cl197,plain,
    $false,
    inference(demod,[status(thm)],[zip_derived_cl196,zip_derived_cl146]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem  : MGT048+1 : TPTP v8.1.2. Released v2.4.0.
% 0.00/0.13  % Command  : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.8W2b3Ru6ZP true
% 0.14/0.34  % Computer : n006.cluster.edu
% 0.14/0.34  % Model    : x86_64 x86_64
% 0.14/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34  % Memory   : 8042.1875MB
% 0.14/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34  % CPULimit : 300
% 0.14/0.34  % WCLimit  : 300
% 0.14/0.34  % DateTime : Mon Aug 28 06:11:06 EDT 2023
% 0.14/0.34  % CPUTime  : 
% 0.14/0.34  % Running portfolio for 300 s
% 0.14/0.34  % File         : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.14/0.34  % Number of cores: 8
% 0.14/0.34  % Python version: Python 3.6.8
% 0.14/0.34  % Running in FO mode
% 0.20/0.65  % Total configuration time : 435
% 0.20/0.65  % Estimated wc time : 1092
% 0.20/0.65  % Estimated cpu time (7 cpus) : 156.0
% 0.20/0.69  % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.20/0.70  % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.20/0.73  % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.20/0.74  % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.20/0.74  % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.20/0.75  % Solved by fo/fo6_bce.sh.
% 0.20/0.75  % BCE start: 19
% 0.20/0.75  % BCE eliminated: 1
% 0.20/0.75  % PE start: 18
% 0.20/0.75  logic: eq
% 0.20/0.75  % PE eliminated: 4
% 0.20/0.75  % done 39 iterations in 0.029s
% 0.20/0.75  % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 0.20/0.75  % SZS output start Refutation
% See solution above
% 0.20/0.75  
% 0.20/0.75  
% 0.20/0.75  % Terminating...
% 1.31/0.86  % Runner terminated.
% 1.31/0.86  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------