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Zipperpin---2.1.9999.THM-Ref.s

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%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : DAT333^3 : TPTP v9.2.0. Released v8.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.wGVL231ZfS true

% Computer : n011.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Thu Oct  2 04:32:59 PM UTC 2025

% Result   : Theorem 0.41s 0.82s
% Output   : Refutation 0.41s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    7
%            Number of leaves      :   12
% Syntax   : Number of formulae    :   28 (  16 unt;   0 typ;   0 def)
%            Number of atoms       :   84 (  12 equ;   0 cnn)
%            Maximal formula atoms :   10 (   3 avg)
%            Number of connectives :  194 (   8   ~;   2   |;  15   &; 151   @)
%                                         (   0 <=>;  11  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   12 (   5 avg)
%            Number of types       :    3 (   1 usr)
%            Number of type conns  :   18 (  18   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   18 (  14 usr;  10 con; 0-3 aty)
%                                         (   3  !!;   4  ??;   0 @@+;   0 @@-)
%            Number of variables   :   52 (  33   ^;  13   !;   6   ?;  52   :)

% Comments : 
%------------------------------------------------------------------------------
thf(mworld_type,type,
    mworld: $tType ).

thf(teach_type,type,
    teach: $i > $i > mworld > $o ).

thf(mbox_type,type,
    mbox: ( mworld > $o ) > mworld > $o ).

thf(psych_type,type,
    psych: $i ).

thf(math_type,type,
    math: $i ).

thf(mactual_type,type,
    mactual: mworld ).

thf(mand_type,type,
    mand: ( mworld > $o ) > ( mworld > $o ) > mworld > $o ).

thf(john_type,type,
    john: $i ).

thf(mlocal_type,type,
    mlocal: ( mworld > $o ) > $o ).

thf(sue_type,type,
    sue: $i ).

thf('#sk2_type',type,
    '#sk2': $i > mworld ).

thf(mrel_type,type,
    mrel: mworld > mworld > $o ).

thf(mexists_di_type,type,
    mexists_di: ( $i > mworld > $o ) > mworld > $o ).

thf(mary_type,type,
    mary: $i ).

thf(cs_type,type,
    cs: $i ).

thf(mexists_di_def,axiom,
    ( mexists_di
    = ( ^ [A: $i > mworld > $o,W: mworld] :
        ? [X: $i] : ( A @ X @ W ) ) ) ).

thf('0',plain,
    ( mexists_di
    = ( ^ [A: $i > mworld > $o,W: mworld] :
        ? [X: $i] : ( A @ X @ W ) ) ),
    inference(simplify_rw_rule,[status(thm)],[mexists_di_def]) ).

thf('1',plain,
    ( mexists_di
    = ( ^ [V_1: $i > mworld > $o,V_2: mworld] :
        ? [X4: $i] : ( V_1 @ X4 @ V_2 ) ) ),
    define([status(thm)]) ).

thf(mbox_def,axiom,
    ( mbox
    = ( ^ [Phi: mworld > $o,W: mworld] :
        ! [V: mworld] :
          ( ( mrel @ W @ V )
         => ( Phi @ V ) ) ) ) ).

thf('2',plain,
    ( mbox
    = ( ^ [Phi: mworld > $o,W: mworld] :
        ! [V: mworld] :
          ( ( mrel @ W @ V )
         => ( Phi @ V ) ) ) ),
    inference(simplify_rw_rule,[status(thm)],[mbox_def]) ).

thf('3',plain,
    ( mbox
    = ( ^ [V_1: mworld > $o,V_2: mworld] :
        ! [X4: mworld] :
          ( ( mrel @ V_2 @ X4 )
         => ( V_1 @ X4 ) ) ) ),
    define([status(thm)]) ).

thf(mlocal_def,axiom,
    ( mlocal
    = ( ^ [Phi: mworld > $o] : ( Phi @ mactual ) ) ) ).

thf('4',plain,
    ( mlocal
    = ( ^ [Phi: mworld > $o] : ( Phi @ mactual ) ) ),
    inference(simplify_rw_rule,[status(thm)],[mlocal_def]) ).

thf('5',plain,
    ( mlocal
    = ( ^ [V_1: mworld > $o] : ( V_1 @ mactual ) ) ),
    define([status(thm)]) ).

thf(query,conjecture,
    ( mlocal
    @ ( mexists_di
      @ ^ [X: $i] : ( mbox @ ( teach @ john @ X ) ) ) ) ).

thf(zf_stmt_0,conjecture,
    ? [X4: $i] :
    ! [X6: mworld] :
      ( ( mrel @ mactual @ X6 )
     => ( teach @ john @ X4 @ X6 ) ) ).

thf(zf_stmt_1,negated_conjecture,
    ~ ? [X4: $i] :
      ! [X6: mworld] :
        ( ( mrel @ mactual @ X6 )
       => ( teach @ john @ X4 @ X6 ) ),
    inference('cnf.neg',[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl2,plain,
    ~ ( ??
      @ ^ [Y0: $i] :
          ( !!
          @ ^ [Y1: mworld] :
              ( ( mrel @ mactual @ Y1 )
             => ( teach @ john @ Y0 @ Y1 ) ) ) ),
    inference(cnf,[status(esa)],[zf_stmt_1]) ).

thf(zip_derived_cl5,plain,
    ! [X2: $i] :
      ~ ( !!
        @ ^ [Y0: mworld] :
            ( ( mrel @ mactual @ Y0 )
           => ( teach @ john @ X2 @ Y0 ) ) ),
    inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl2]) ).

thf(zip_derived_cl6,plain,
    ! [X2: $i] :
      ~ ( ( mrel @ mactual @ ( '#sk2' @ X2 ) )
       => ( teach @ john @ X2 @ ( '#sk2' @ X2 ) ) ),
    inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl5]) ).

thf(zip_derived_cl8,plain,
    ! [X2: $i] :
      ~ ( teach @ john @ X2 @ ( '#sk2' @ X2 ) ),
    inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl6]) ).

thf(mand_def,axiom,
    ( mand
    = ( ^ [A: mworld > $o,B: mworld > $o,W: mworld] :
          ( ( A @ W )
          & ( B @ W ) ) ) ) ).

thf('6',plain,
    ( mand
    = ( ^ [A: mworld > $o,B: mworld > $o,W: mworld] :
          ( ( A @ W )
          & ( B @ W ) ) ) ),
    inference(simplify_rw_rule,[status(thm)],[mand_def]) ).

thf('7',plain,
    ( mand
    = ( ^ [V_1: mworld > $o,V_2: mworld > $o,V_3: mworld] :
          ( ( V_1 @ V_3 )
          & ( V_2 @ V_3 ) ) ) ),
    define([status(thm)]) ).

thf(db,axiom,
    ( mlocal
    @ ( mbox
      @ ( mand @ ( teach @ john @ math )
        @ ( mand
          @ ( mexists_di
            @ ^ [X: $i] : ( teach @ X @ cs ) )
          @ ( mand @ ( teach @ mary @ psych ) @ ( teach @ sue @ psych ) ) ) ) ) ) ).

thf(zf_stmt_2,axiom,
    ! [X4: mworld] :
      ( ( mrel @ mactual @ X4 )
     => ( ( teach @ sue @ psych @ X4 )
        & ( teach @ mary @ psych @ X4 )
        & ? [X6: $i] : ( teach @ X6 @ cs @ X4 )
        & ( teach @ john @ math @ X4 ) ) ) ).

thf(zip_derived_cl1,plain,
    ( !!
    @ ^ [Y0: mworld] :
        ( ( mrel @ mactual @ Y0 )
       => ( ( teach @ sue @ psych @ Y0 )
          & ( teach @ mary @ psych @ Y0 )
          & ( ??
            @ ^ [Y1: $i] : ( teach @ Y1 @ cs @ Y0 ) )
          & ( teach @ john @ math @ Y0 ) ) ) ),
    inference(cnf,[status(esa)],[zf_stmt_2]) ).

thf(zip_derived_cl9,plain,
    ! [X2: mworld] :
      ( ( mrel @ mactual @ X2 )
     => ( ( teach @ sue @ psych @ X2 )
        & ( teach @ mary @ psych @ X2 )
        & ( ??
          @ ^ [Y0: $i] : ( teach @ Y0 @ cs @ X2 ) )
        & ( teach @ john @ math @ X2 ) ) ),
    inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl1]) ).

thf(zip_derived_cl10,plain,
    ! [X2: mworld] :
      ( ~ ( mrel @ mactual @ X2 )
      | ( ( teach @ sue @ psych @ X2 )
        & ( teach @ mary @ psych @ X2 )
        & ( ??
          @ ^ [Y0: $i] : ( teach @ Y0 @ cs @ X2 ) )
        & ( teach @ john @ math @ X2 ) ) ),
    inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl9]) ).

thf(zip_derived_cl14,plain,
    ! [X2: mworld] :
      ( ( teach @ john @ math @ X2 )
      | ~ ( mrel @ mactual @ X2 ) ),
    inference(lazy_cnf_and,[status(thm)],[zip_derived_cl10]) ).

thf(zip_derived_cl17,plain,
    ~ ( mrel @ mactual @ ( '#sk2' @ math ) ),
    inference('sup+',[status(thm)],[zip_derived_cl8,zip_derived_cl14]) ).

thf(zip_derived_cl7,plain,
    ! [X2: $i] : ( mrel @ mactual @ ( '#sk2' @ X2 ) ),
    inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl6]) ).

thf(zip_derived_cl20,plain,
    $false,
    inference(demod,[status(thm)],[zip_derived_cl17,zip_derived_cl7]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem  : DAT333^3 : TPTP v9.2.0. Released v8.1.0.
% 0.03/0.14  % Command  : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.wGVL231ZfS true
% 0.14/0.34  % Computer : n011.cluster.edu
% 0.14/0.34  % Model    : x86_64 x86_64
% 0.14/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34  % Memory   : 8042.1875MB
% 0.14/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34  % CPULimit : 300
% 0.14/0.34  % WCLimit  : 300
% 0.14/0.34  % DateTime : Wed Oct  1 15:20:38 EDT 2025
% 0.14/0.35  % CPUTime  : 
% 0.14/0.35  % Running portfolio for 300 s
% 0.14/0.35  % File         : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.14/0.35  % Number of cores: 8
% 0.14/0.35  % Python version: Python 3.6.8
% 0.14/0.35  % Running in HO mode
% 0.38/0.72  % Total configuration time : 828
% 0.38/0.72  % Estimated wc time : 1656
% 0.38/0.72  % Estimated cpu time (8 cpus) : 207.0
% 0.41/0.79  % /export/starexec/sandbox/solver/bin/lams/40_c.s.sh running for 80s
% 0.41/0.79  % /export/starexec/sandbox/solver/bin/lams/35_full_unif4.sh running for 80s
% 0.41/0.79  % /export/starexec/sandbox/solver/bin/lams/40_c_ic.sh running for 80s
% 0.41/0.80  % /export/starexec/sandbox/solver/bin/lams/15_e_short1.sh running for 30s
% 0.41/0.82  % Solved by lams/35_full_unif4.sh.
% 0.41/0.82  % done 5 iterations in 0.011s
% 0.41/0.82  % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 0.41/0.82  % SZS output start Refutation
% See solution above
% 0.41/0.82  
% 0.41/0.82  
% 0.41/0.82  % Terminating...
% 0.43/0.92  % Runner terminated.
% 0.43/0.93  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------