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Zipperpin---2.1.9999.THM-Ref.s

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%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : MGT083+1 : TPTP v9.3.1. Bugfixed v9.3.1.
% Transfm  : none
% Format   : tptp:raw
% Command  : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.5jRBn9Vwj7 true

% Computer : n004.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 06:25:21 AM UTC 2026

% Result   : Theorem 0.49s 0.77s
% Output   : Refutation 0.49s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    5
%            Number of leaves      :    4
% Syntax   : Number of formulae    :   14 (   7 unt;   0 typ;   0 def)
%            Number of atoms       :   24 (   0 equ;   0 cnn)
%            Maximal formula atoms :    3 (   1 avg)
%            Number of connectives :   68 (   7   ~;   4   |;   4   &;  51   @)
%                                         (   1 <=>;   1  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    9 (   6 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :    0 (   0   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :    6 (   5 usr;   4 con; 0-3 aty)
%            Number of variables   :   17 (   0   ^;  15   !;   2   ?;  17   :)

% Comments : 
%------------------------------------------------------------------------------
thf(in_open_type,type,
    in_open: $i > $i > $i > $o ).

thf(v600_type,type,
    v600: $i ).

thf(less_type,type,
    less: $i > $i > $o ).

thf(v0_type,type,
    v0: $i ).

thf(sk__3_type,type,
    sk__3: $i ).

thf(odrl423,conjecture,
    ~ ? [X: $i] :
        ( ( less @ v600 @ X )
        & ( in_open @ X @ v0 @ v600 ) ) ).

thf(zf_stmt_0,negated_conjecture,
    ? [X: $i] :
      ( ( less @ v600 @ X )
      & ( in_open @ X @ v0 @ v600 ) ),
    inference('cnf.neg',[status(esa)],[odrl423]) ).

thf(zip_derived_cl49,plain,
    in_open @ sk__3 @ v0 @ v600,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(in_open,axiom,
    ! [X: $i,A: $i,B: $i] :
      ( ( in_open @ X @ A @ B )
    <=> ( ( less @ A @ X )
        & ( less @ X @ B ) ) ) ).

thf(zip_derived_cl21,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( less @ X0 @ X1 )
      | ~ ( in_open @ X0 @ X2 @ X1 ) ),
    inference(cnf,[status(esa)],[in_open]) ).

thf(zip_derived_cl274,plain,
    less @ sk__3 @ v600,
    inference('dp-resolution',[status(thm)],[zip_derived_cl49,zip_derived_cl21]) ).

thf(zip_derived_cl50,plain,
    less @ v600 @ sk__3,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(transitive,axiom,
    ! [X: $i,Y: $i,Z: $i] :
      ( ( ( less @ X @ Y )
        & ( less @ Y @ Z ) )
     => ( less @ X @ Z ) ) ).

thf(zip_derived_cl1,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ~ ( less @ X0 @ X1 )
      | ~ ( less @ X1 @ X2 )
      | ( less @ X0 @ X2 ) ),
    inference(cnf,[status(esa)],[transitive]) ).

thf(zip_derived_cl286,plain,
    ! [X0: $i] :
      ( ~ ( less @ sk__3 @ X0 )
      | ( less @ v600 @ X0 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl50,zip_derived_cl1]) ).

thf(zip_derived_cl293,plain,
    less @ v600 @ v600,
    inference('s_sup-',[status(thm)],[zip_derived_cl274,zip_derived_cl286]) ).

thf(irreflexive,axiom,
    ! [X: $i] :
      ~ ( less @ X @ X ) ).

thf(zip_derived_cl0,plain,
    ! [X0: $i] :
      ~ ( less @ X0 @ X0 ),
    inference(cnf,[status(esa)],[irreflexive]) ).

thf(zip_derived_cl302,plain,
    $false,
    inference('s_sup-',[status(thm)],[zip_derived_cl293,zip_derived_cl0]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : MGT083+1 : TPTP v9.3.1. Bugfixed v9.3.1.
% 0.00/0.05  % Command  : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.5jRBn9Vwj7 true
% 0.11/0.37  % Computer : n004.cluster.edu
% 0.11/0.37  % Model    : x86_64 x86_64
% 0.11/0.37  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.37  % Memory   : 8046.5625MB
% 0.11/0.37  % OS       : Linux 6.8.0-71-generic
% 0.11/0.37  % CPULimit : 300
% 0.11/0.37  % WCLimit  : 300
% 0.11/0.37  % DateTime : Mon Sep  7 14:18:00 UTC 2026
% 0.11/0.38  % CPUTime  : 
% 0.11/0.38  % Running portfolio for 300 s
% 0.11/0.38  % File         : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.11/0.38  % Number of cores: 8
% 0.11/0.38  % Python version: Python 3.12.3
% 0.11/0.39  % Running in FO mode
% 0.46/0.67  % Total configuration time : 435
% 0.46/0.67  % Estimated wc time : 1092
% 0.46/0.67  % Estimated cpu time (7 cpus) : 156.0
% 0.49/0.74  % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.49/0.77  % Solved by fo/fo6_bce.sh.
% 0.49/0.77  % BCE start: 51
% 0.49/0.77  % BCE eliminated: 3
% 0.49/0.77  % PE start: 48
% 0.49/0.77  logic: eq
% 0.49/0.77  % PE eliminated: 11
% 0.49/0.77  % done 20 iterations in 0.018s
% 0.49/0.77  % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 0.49/0.77  % SZS output start Refutation
% See solution above
% 0.49/0.77  
% 0.49/0.77  
% 0.49/0.77  % Terminating...
% 1.33/0.80  % Runner terminated.
% 1.33/0.81  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------