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Zipperpin---2.1.9999.THM-Ref.s

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%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : LCL527+1 : TPTP v9.3.1. Bugfixed v9.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.sYXTyKUHOe true

% Computer : n016.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 : Mon Sep  7 01:36:09 PM UTC 2026

% Result   : Theorem 0.49s 0.81s
% Output   : Refutation 0.49s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    6
%            Number of leaves      :    6
% Syntax   : Number of formulae    :   27 (  14 unt;   0 typ;   0 def)
%            Number of atoms       :   49 (   0 equ;   0 cnn)
%            Maximal formula atoms :    4 (   1 avg)
%            Number of connectives :  110 (  19   ~;  15   |;   2   &;  69   @)
%                                         (   3 <=>;   2  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    9 (   5 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :    0 (   0   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :    9 (   8 usr;   6 con; 0-2 aty)
%            Number of variables   :   20 (   0   ^;  20   !;   0   ?;  20   :)

% Comments : 
%------------------------------------------------------------------------------
thf(and_type,type,
    and: $i > $i > $i ).

thf(sk__59_type,type,
    sk__59: $i ).

thf(is_a_theorem_type,type,
    is_a_theorem: $i > $o ).

thf(adjunction_type,type,
    adjunction: $o ).

thf(and_3_type,type,
    and_3: $o ).

thf(modus_ponens_type,type,
    modus_ponens: $o ).

thf(implies_type,type,
    implies: $i > $i > $i ).

thf(sk__58_type,type,
    sk__58: $i ).

thf(hilbert_and_3,axiom,
    and_3 ).

thf(zip_derived_cl70,plain,
    and_3,
    inference(cnf,[status(esa)],[hilbert_and_3]) ).

thf(and_3,axiom,
    ( and_3
  <=> ! [X: $i,Y: $i] : ( is_a_theorem @ ( implies @ X @ ( implies @ Y @ ( and @ X @ Y ) ) ) ) ) ).

thf(zip_derived_cl19,plain,
    ! [X0: $i,X1: $i] :
      ( ( is_a_theorem @ ( implies @ X0 @ ( implies @ X1 @ ( and @ X0 @ X1 ) ) ) )
      | ~ and_3 ),
    inference(cnf,[status(esa)],[and_3]) ).

thf(zip_derived_cl694,plain,
    ! [X0: $i,X1: $i] : ( is_a_theorem @ ( implies @ X1 @ ( implies @ X0 @ ( and @ X1 @ X0 ) ) ) ),
    inference('dp-resolution',[status(thm)],[zip_derived_cl70,zip_derived_cl19]) ).

thf(hilbert_modus_ponens,axiom,
    modus_ponens ).

thf(zip_derived_cl63,plain,
    modus_ponens,
    inference(cnf,[status(esa)],[hilbert_modus_ponens]) ).

thf(modus_ponens,axiom,
    ( modus_ponens
  <=> ! [X: $i,Y: $i] :
        ( ( ( is_a_theorem @ X )
          & ( is_a_theorem @ ( implies @ X @ Y ) ) )
       => ( is_a_theorem @ Y ) ) ) ).

thf(zip_derived_cl0,plain,
    ! [X0: $i,X1: $i] :
      ( ( is_a_theorem @ X0 )
      | ~ ( is_a_theorem @ ( implies @ X1 @ X0 ) )
      | ~ ( is_a_theorem @ X1 )
      | ~ modus_ponens ),
    inference(cnf,[status(esa)],[modus_ponens]) ).

thf(zip_derived_cl710,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( is_a_theorem @ X1 )
      | ~ ( is_a_theorem @ ( implies @ X1 @ X0 ) )
      | ( is_a_theorem @ X0 ) ),
    inference('dp-resolution',[status(thm)],[zip_derived_cl63,zip_derived_cl0]) ).

thf(zip_derived_cl804,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( is_a_theorem @ X1 )
      | ( is_a_theorem @ ( implies @ X0 @ ( and @ X1 @ X0 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl694,zip_derived_cl710]) ).

thf(zip_derived_cl710_001,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( is_a_theorem @ X1 )
      | ~ ( is_a_theorem @ ( implies @ X1 @ X0 ) )
      | ( is_a_theorem @ X0 ) ),
    inference('dp-resolution',[status(thm)],[zip_derived_cl63,zip_derived_cl0]) ).

thf(zip_derived_cl813,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( is_a_theorem @ X1 )
      | ~ ( is_a_theorem @ X0 )
      | ( is_a_theorem @ ( and @ X1 @ X0 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl804,zip_derived_cl710]) ).

thf(adjunction,axiom,
    ( adjunction
  <=> ! [X: $i,Y: $i] :
        ( ( ( is_a_theorem @ X )
          & ( is_a_theorem @ Y ) )
       => ( is_a_theorem @ ( and @ X @ Y ) ) ) ) ).

thf(zip_derived_cl88,plain,
    ( adjunction
    | ~ ( is_a_theorem @ ( and @ sk__58 @ sk__59 ) ) ),
    inference(cnf,[status(esa)],[adjunction]) ).

thf(s1_0_adjunction,conjecture,
    adjunction ).

thf(zf_stmt_0,negated_conjecture,
    ~ adjunction,
    inference('cnf.neg',[status(esa)],[s1_0_adjunction]) ).

thf(zip_derived_cl145,plain,
    ~ adjunction,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl720,plain,
    ~ ( is_a_theorem @ ( and @ sk__58 @ sk__59 ) ),
    inference(demod,[status(thm)],[zip_derived_cl88,zip_derived_cl145]) ).

thf(zip_derived_cl827,plain,
    ( ~ ( is_a_theorem @ sk__59 )
    | ~ ( is_a_theorem @ sk__58 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl813,zip_derived_cl720]) ).

thf(zip_derived_cl87,plain,
    ( adjunction
    | ( is_a_theorem @ sk__59 ) ),
    inference(cnf,[status(esa)],[adjunction]) ).

thf(zip_derived_cl145_002,plain,
    ~ adjunction,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl719,plain,
    is_a_theorem @ sk__59,
    inference(demod,[status(thm)],[zip_derived_cl87,zip_derived_cl145]) ).

thf(zip_derived_cl86,plain,
    ( adjunction
    | ( is_a_theorem @ sk__58 ) ),
    inference(cnf,[status(esa)],[adjunction]) ).

thf(zip_derived_cl145_003,plain,
    ~ adjunction,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl717,plain,
    is_a_theorem @ sk__58,
    inference(demod,[status(thm)],[zip_derived_cl86,zip_derived_cl145]) ).

thf(zip_derived_cl831,plain,
    $false,
    inference(demod,[status(thm)],[zip_derived_cl827,zip_derived_cl719,zip_derived_cl717]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : LCL527+1 : TPTP v9.3.1. Bugfixed v9.2.0.
% 0.00/0.05  % Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.sYXTyKUHOe true
% 0.11/0.37  % Computer : n016.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 : Sun Sep  6 00:42:15 UTC 2026
% 0.11/0.37  % CPUTime  : 
% 0.11/0.37  % Running portfolio for 300 s
% 0.11/0.37  % File         : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.11/0.38  % Number of cores: 8
% 0.11/0.38  % Python version: Python 3.12.3
% 0.11/0.38  % 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/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.49/0.80  % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.49/0.80  % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.49/0.80  % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.49/0.81  % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.49/0.81  % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.49/0.81  % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 0.49/0.81  % Solved by fo/fo6_bce.sh.
% 0.49/0.81  % BCE start: 146
% 0.49/0.81  % BCE eliminated: 4
% 0.49/0.81  % PE start: 142
% 0.49/0.81  logic: eq
% 0.49/0.81  % PE eliminated: 80
% 0.49/0.81  % done 86 iterations in 0.057s
% 0.49/0.81  % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 0.49/0.81  % SZS output start Refutation
% See solution above
% 0.49/0.81  
% 0.49/0.81  
% 0.49/0.82  % Terminating...
% 0.49/0.85  % Runner terminated.
% 0.49/0.86  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------