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Zipperpin---2.1.9999.THM-Ref.s

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%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : MGT045+1 : TPTP v9.3.0. Released v2.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.eRq2SsDVAk true

% Computer : n007.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8046.5625MB
% OS       : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Tue Sep  8 06:25:15 AM UTC 2026

% Result   : Theorem 0.48s 0.76s
% Output   : Refutation 0.48s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    5
%            Number of leaves      :    3
% Syntax   : Number of formulae    :   15 (   7 unt;   0 typ;   0 def)
%            Number of atoms       :   31 (   2 equ;   0 cnn)
%            Maximal formula atoms :    5 (   2 avg)
%            Number of connectives :  161 (   9   ~;   6   |;   4   &; 136   @)
%                                         (   0 <=>;   6  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   11 (   7 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :    0 (   0   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   10 (   8 usr;   4 con; 0-2 aty)
%            Number of variables   :   22 (   0   ^;  22   !;   0   ?;  22   :)

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

thf(external_ties_type,type,
    external_ties: $i > $i > $i ).

thf(position_type,type,
    position: $i > $i > $i ).

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

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

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

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

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

thf(lemma_4,conjecture,
    ! [X: $i,T0: $i,T: $i] :
      ( ( ( organization @ X )
        & ( greater @ ( age @ X @ T ) @ ( age @ X @ T0 ) ) )
     => ( greater @ ( position @ X @ T ) @ ( position @ X @ T0 ) ) ) ).

thf(zf_stmt_0,negated_conjecture,
    ~ ! [X: $i,T0: $i,T: $i] :
        ( ( ( organization @ X )
          & ( greater @ ( age @ X @ T ) @ ( age @ X @ T0 ) ) )
       => ( greater @ ( position @ X @ T ) @ ( position @ X @ T0 ) ) ),
    inference('cnf.neg',[status(esa)],[lemma_4]) ).

thf(zip_derived_cl16,plain,
    organization @ sk_,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(assumption_6,axiom,
    ! [X: $i,T0: $i,T: $i] :
      ( ( organization @ X )
     => ( ( ( greater @ ( external_ties @ X @ T ) @ ( external_ties @ X @ T0 ) )
         => ( greater @ ( position @ X @ T ) @ ( position @ X @ T0 ) ) )
        & ( ( ( external_ties @ X @ T )
            = ( external_ties @ X @ T0 ) )
         => ( ( position @ X @ T )
            = ( position @ X @ T0 ) ) ) ) ) ).

thf(zip_derived_cl11,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ~ ( organization @ X0 )
      | ( greater @ ( position @ X0 @ X1 ) @ ( position @ X0 @ X2 ) )
      | ~ ( greater @ ( external_ties @ X0 @ X1 ) @ ( external_ties @ X0 @ X2 ) ) ),
    inference(cnf,[status(esa)],[assumption_6]) ).

thf(zip_derived_cl83,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( greater @ ( external_ties @ sk_ @ X1 ) @ ( external_ties @ sk_ @ X0 ) )
      | ( greater @ ( position @ sk_ @ X1 ) @ ( position @ sk_ @ X0 ) ) ),
    inference('dp-resolution',[status(thm)],[zip_derived_cl16,zip_derived_cl11]) ).

thf(zip_derived_cl14,plain,
    ~ ( greater @ ( position @ sk_ @ sk__2 ) @ ( position @ sk_ @ sk__1 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl118,plain,
    ~ ( greater @ ( external_ties @ sk_ @ sk__2 ) @ ( external_ties @ sk_ @ sk__1 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl83,zip_derived_cl14]) ).

thf(zip_derived_cl15,plain,
    greater @ ( age @ sk_ @ sk__2 ) @ ( age @ sk_ @ sk__1 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl16_001,plain,
    organization @ sk_,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(assumption_8,axiom,
    ! [X: $i,T0: $i,T: $i] :
      ( ( ( organization @ X )
        & ( greater @ ( age @ X @ T ) @ ( age @ X @ T0 ) ) )
     => ( greater @ ( external_ties @ X @ T ) @ ( external_ties @ X @ T0 ) ) ) ).

thf(zip_derived_cl13,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ~ ( organization @ X0 )
      | ~ ( greater @ ( age @ X0 @ X1 ) @ ( age @ X0 @ X2 ) )
      | ( greater @ ( external_ties @ X0 @ X1 ) @ ( external_ties @ X0 @ X2 ) ) ),
    inference(cnf,[status(esa)],[assumption_8]) ).

thf(zip_derived_cl85,plain,
    ! [X0: $i,X1: $i] :
      ( ( greater @ ( external_ties @ sk_ @ X1 ) @ ( external_ties @ sk_ @ X0 ) )
      | ~ ( greater @ ( age @ sk_ @ X1 ) @ ( age @ sk_ @ X0 ) ) ),
    inference('dp-resolution',[status(thm)],[zip_derived_cl16,zip_derived_cl13]) ).

thf(zip_derived_cl127,plain,
    greater @ ( external_ties @ sk_ @ sk__2 ) @ ( external_ties @ sk_ @ sk__1 ),
    inference('s_sup-',[status(thm)],[zip_derived_cl15,zip_derived_cl85]) ).

thf(zip_derived_cl130,plain,
    $false,
    inference(demod,[status(thm)],[zip_derived_cl118,zip_derived_cl127]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : MGT045+1 : TPTP v9.3.0. Released v2.4.0.
% 0.00/0.05  % Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.eRq2SsDVAk true
% 0.10/0.36  % Computer : n007.cluster.edu
% 0.10/0.36  % Model    : x86_64 x86_64
% 0.10/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.36  % Memory   : 8046.5625MB
% 0.10/0.36  % OS       : Linux 6.8.0-71-generic
% 0.10/0.37  % CPULimit : 300
% 0.10/0.37  % WCLimit  : 300
% 0.10/0.37  % DateTime : Mon Sep  7 13:06:56 UTC 2026
% 0.10/0.37  % CPUTime  : 
% 0.10/0.37  % Running portfolio for 300 s
% 0.10/0.37  % File         : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.10/0.37  % Number of cores: 8
% 0.10/0.37  % Python version: Python 3.12.3
% 0.10/0.37  % Running in FO mode
% 0.46/0.65  % Total configuration time : 435
% 0.46/0.65  % Estimated wc time : 1092
% 0.46/0.65  % Estimated cpu time (7 cpus) : 156.0
% 0.48/0.72  % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.48/0.76  % Solved by fo/fo6_bce.sh.
% 0.48/0.76  % BCE start: 17
% 0.48/0.76  % BCE eliminated: 2
% 0.48/0.76  % PE start: 15
% 0.48/0.76  logic: eq
% 0.48/0.76  % PE eliminated: 7
% 0.48/0.76  % done 20 iterations in 0.018s
% 0.48/0.76  % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 0.48/0.76  % SZS output start Refutation
% See solution above
% 0.48/0.76  
% 0.48/0.76  
% 0.48/0.76  % Terminating...
% 0.48/0.79  % Runner terminated.
% 1.38/0.80  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------