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Zipperpin---2.1.9999.THM-Ref.s

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%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : MGT070+1 : TPTP v9.3.0. Released v9.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.Sy87zplODN true

% Computer : n011.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 06:25:20 AM UTC 2026

% Result   : Theorem 0.49s 0.76s
% Output   : Refutation 0.49s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    6
%            Number of leaves      :    3
% Syntax   : Number of formulae    :   12 (   5 unt;   0 typ;   0 def)
%            Number of atoms       :   26 (   0 equ;   0 cnn)
%            Maximal formula atoms :    4 (   2 avg)
%            Number of connectives :   82 (  13   ~;   8   |;   5   &;  55   @)
%                                         (   0 <=>;   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     :    5 (   4 usr;   3 con; 0-3 aty)
%            Number of variables   :   15 (   0   ^;  13   !;   2   ?;  15   :)

% Comments : 
%------------------------------------------------------------------------------
thf(leq_type,type,
    leq: $i > $i > $o ).

thf(ninf_type,type,
    ninf: $i ).

thf(nsup_type,type,
    nsup: $i ).

thf(completion_compatible_type,type,
    completion_compatible: $i > $i > $i > $o ).

thf(h_inf_lb,axiom,
    ! [X: $i] : ( leq @ ninf @ X ) ).

thf(zip_derived_cl55,plain,
    ! [X0: $i] : ( leq @ ninf @ X0 ),
    inference(cnf,[status(esa)],[h_inf_lb]) ).

thf(completion_compat,axiom,
    ! [V: $i,InfD: $i,SupD: $i] :
      ( ( ( leq @ InfD @ V )
        & ( leq @ V @ SupD ) )
     => ( completion_compatible @ V @ InfD @ SupD ) ) ).

thf(zip_derived_cl47,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ~ ( leq @ X0 @ X1 )
      | ~ ( leq @ X1 @ X2 )
      | ( completion_compatible @ X1 @ X0 @ X2 ) ),
    inference(cnf,[status(esa)],[completion_compat]) ).

thf(unknown_sound_compatible,conjecture,
    ? [V: $i] :
      ( ( completion_compatible @ V @ ninf @ nsup )
      & ( leq @ V @ nsup )
      & ( leq @ ninf @ V ) ) ).

thf(zf_stmt_0,negated_conjecture,
    ~ ? [V: $i] :
        ( ( completion_compatible @ V @ ninf @ nsup )
        & ( leq @ V @ nsup )
        & ( leq @ ninf @ V ) ),
    inference('cnf.neg',[status(esa)],[unknown_sound_compatible]) ).

thf(zip_derived_cl58,plain,
    ! [X0: $i] :
      ( ~ ( completion_compatible @ X0 @ ninf @ nsup )
      | ~ ( leq @ X0 @ nsup )
      | ~ ( leq @ ninf @ X0 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl319,plain,
    ! [X0: $i] :
      ( ~ ( leq @ X0 @ nsup )
      | ~ ( leq @ ninf @ X0 )
      | ~ ( leq @ ninf @ X0 )
      | ~ ( leq @ X0 @ nsup ) ),
    inference('dp-resolution',[status(thm)],[zip_derived_cl47,zip_derived_cl58]) ).

thf(zip_derived_cl327,plain,
    ! [X0: $i] :
      ( ~ ( leq @ ninf @ X0 )
      | ~ ( leq @ X0 @ nsup ) ),
    inference(simplify,[status(thm)],[zip_derived_cl319]) ).

thf(zip_derived_cl55_001,plain,
    ! [X0: $i] : ( leq @ ninf @ X0 ),
    inference(cnf,[status(esa)],[h_inf_lb]) ).

thf(zip_derived_cl328,plain,
    ! [X0: $i] :
      ~ ( leq @ X0 @ nsup ),
    inference(demod,[status(thm)],[zip_derived_cl327,zip_derived_cl55]) ).

thf(zip_derived_cl329,plain,
    $false,
    inference('s_sup-',[status(thm)],[zip_derived_cl55,zip_derived_cl328]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : MGT070+1 : TPTP v9.3.0. Released v9.3.0.
% 0.00/0.05  % Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.Sy87zplODN true
% 0.11/0.35  % Computer : n011.cluster.edu
% 0.11/0.35  % Model    : x86_64 x86_64
% 0.11/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.35  % Memory   : 8046.5625MB
% 0.11/0.35  % OS       : Linux 6.8.0-71-generic
% 0.11/0.35  % CPULimit : 300
% 0.11/0.35  % WCLimit  : 300
% 0.11/0.35  % DateTime : Mon Sep  7 13:54:00 UTC 2026
% 0.11/0.35  % CPUTime  : 
% 0.11/0.35  % Running portfolio for 300 s
% 0.11/0.35  % File         : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.14/0.36  % Number of cores: 8
% 0.14/0.36  % Python version: Python 3.12.3
% 0.14/0.36  % Running in FO mode
% 0.47/0.64  % Total configuration time : 435
% 0.47/0.64  % Estimated wc time : 1092
% 0.47/0.64  % Estimated cpu time (7 cpus) : 156.0
% 0.49/0.72  % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.49/0.76  % Solved by fo/fo6_bce.sh.
% 0.49/0.76  % BCE start: 59
% 0.49/0.76  % BCE eliminated: 3
% 0.49/0.76  % PE start: 56
% 0.49/0.76  logic: eq
% 0.49/0.76  % PE eliminated: 11
% 0.49/0.76  % done 7 iterations in 0.016s
% 0.49/0.76  % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 0.49/0.76  % SZS output start Refutation
% See solution above
% 0.49/0.76  
% 0.49/0.76  
% 0.49/0.76  % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.49/0.76  % Terminating...
% 0.49/0.80  % Runner terminated.
% 1.42/0.82  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------