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Zipperpin---2.1.9999.THM-Ref.s

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%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : MGT049+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.owQDI4NF4k true

% Computer : n009.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 0.41s 0.68s
% Output   : Refutation 0.41s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    6
%            Number of leaves      :    3
% Syntax   : Number of formulae    :   15 (   8 unt;   0 typ;   0 def)
%            Number of atoms       :   28 (  15 equ;   0 cnn)
%            Maximal formula atoms :    5 (   1 avg)
%            Number of connectives :  112 (   7   ~;   4   |;   3   &;  92   @)
%                                         (   0 <=>;   6  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   11 (   5 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   :   27 (   0   ^;  27   !;   0   ?;  27   :)

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

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

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

thf(lemma_6,conjecture,
    ! [X: $i,T0: $i,T: $i] :
      ( ( ( organization @ X )
        & ( greater @ ( age @ X @ T ) @ ( age @ X @ T0 ) ) )
     => ( ( 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 ) ) )
       => ( ( position @ X @ T )
          = ( position @ X @ T0 ) ) ),
    inference('cnf.neg',[status(esa)],[lemma_6]) ).

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_cl12,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ~ ( organization @ X0 )
      | ( ( position @ X0 @ X2 )
        = ( position @ X0 @ X1 ) )
      | ( ( external_ties @ X0 @ X2 )
       != ( external_ties @ X0 @ X1 ) ) ),
    inference(cnf,[status(esa)],[assumption_6]) ).

thf(zip_derived_cl78,plain,
    ! [X0: $i,X1: $i] :
      ( ( ( external_ties @ sk_ @ X0 )
       != ( external_ties @ sk_ @ X1 ) )
      | ( ( position @ sk_ @ X0 )
        = ( position @ sk_ @ X1 ) ) ),
    inference('dp-resolution',[status(thm)],[zip_derived_cl16,zip_derived_cl12]) ).

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

thf(assumption_11,axiom,
    ! [X: $i,T0: $i,T: $i] :
      ( ( organization @ X )
     => ( ( external_ties @ X @ T )
        = ( external_ties @ X @ T0 ) ) ) ).

thf(zip_derived_cl13,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ~ ( organization @ X0 )
      | ( ( external_ties @ X0 @ X2 )
        = ( external_ties @ X0 @ X1 ) ) ),
    inference(cnf,[status(esa)],[assumption_11]) ).

thf(zip_derived_cl79,plain,
    ! [X0: $i,X1: $i] :
      ( ( external_ties @ sk_ @ X0 )
      = ( external_ties @ sk_ @ X1 ) ),
    inference('dp-resolution',[status(thm)],[zip_derived_cl16,zip_derived_cl13]) ).

thf(zip_derived_cl101,plain,
    ! [X0: $i,X1: $i] :
      ( ( position @ sk_ @ X0 )
      = ( position @ sk_ @ X1 ) ),
    inference('simplify_reflect+',[status(thm)],[zip_derived_cl78,zip_derived_cl79]) ).

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

thf(zip_derived_cl104,plain,
    ! [X0: $i] :
      ( ( position @ sk_ @ X0 )
     != ( position @ sk_ @ sk__1 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl101,zip_derived_cl14]) ).

thf(zip_derived_cl101_002,plain,
    ! [X0: $i,X1: $i] :
      ( ( position @ sk_ @ X0 )
      = ( position @ sk_ @ X1 ) ),
    inference('simplify_reflect+',[status(thm)],[zip_derived_cl78,zip_derived_cl79]) ).

thf(zip_derived_cl112,plain,
    $false,
    inference('simplify_reflect+',[status(thm)],[zip_derived_cl104,zip_derived_cl101]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : MGT049+1 : TPTP v9.3.0. Released v2.4.0.
% 0.00/0.04  % Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.owQDI4NF4k true
% 0.10/0.35  % Computer : n009.cluster.edu
% 0.10/0.35  % Model    : x86_64 x86_64
% 0.10/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.35  % Memory   : 8046.5625MB
% 0.10/0.35  % OS       : Linux 6.8.0-71-generic
% 0.10/0.35  % CPULimit : 300
% 0.10/0.35  % WCLimit  : 300
% 0.10/0.35  % DateTime : Mon Sep  7 13:16:07 UTC 2026
% 0.13/0.36  % CPUTime  : 
% 0.13/0.36  % Running portfolio for 300 s
% 0.13/0.36  % File         : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.13/0.36  % Number of cores: 8
% 0.13/0.36  % Python version: Python 3.12.3
% 0.13/0.36  % Running in FO mode
% 0.38/0.58  % Total configuration time : 435
% 0.38/0.58  % Estimated wc time : 1092
% 0.38/0.58  % Estimated cpu time (7 cpus) : 156.0
% 0.41/0.65  % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.41/0.68  % Solved by fo/fo6_bce.sh.
% 0.41/0.68  % BCE start: 17
% 0.41/0.68  % BCE eliminated: 2
% 0.41/0.68  % PE start: 15
% 0.41/0.68  logic: eq
% 0.41/0.68  % PE eliminated: 7
% 0.41/0.68  % done 16 iterations in 0.011s
% 0.41/0.68  % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 0.41/0.68  % SZS output start Refutation
% See solution above
% 0.41/0.68  
% 0.41/0.68  
% 0.41/0.68  % Terminating...
% 1.21/0.70  % Runner terminated.
% 1.21/0.73  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------