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Zipperpin---2.1.9999.THM-Ref.s

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%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : ITP303_1 : TPTP v9.2.0. Released v8.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.sfRbtWHH7e true

% Computer : n027.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 04:39:54 PM UTC 2025

% Result   : Theorem 2.47s 1.67s
% Output   : Refutation 2.47s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    5
%            Number of leaves      :    5
% Syntax   : Number of formulae    :   17 (  14 unt;   0 typ;   0 def)
%            Number of atoms       :   23 (  13 equ;   0 cnn)
%            Maximal formula atoms :    5 (   1 avg)
%            Number of connectives :  127 (   7   ~;   2   |;   3   &; 114   @)
%                                         (   0 <=>;   1  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   10 (   4 avg)
%            Number of types       :    9 (   8 usr)
%            Number of type conns  :    0 (   0   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   17 (  15 usr;   8 con; 0-3 aty)
%            Number of variables   :   11 (   0   ^;  11   !;   0   ?;  11   :)

% Comments : 
%------------------------------------------------------------------------------
thf('A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext$_type',type,
    'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext$': $tType ).

thf('A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext_fun$_type',type,
    'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext_fun$': $tType ).

thf('A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext$_type',type,
    'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext$': $tType ).

thf('A_b_b_c_LSCategory_ext_Category_ext$_type',type,
    'A_b_b_c_LSCategory_ext_Category_ext$': $tType ).

thf('B$_type',type,
    'B$': $tType ).

thf('A_b_b_c_LSCategory_ext_Category_ext_a_b_b_c_LSCategory_ext_Category_ext_fun$_type',type,
    'A_b_b_c_LSCategory_ext_Category_ext_a_b_b_c_LSCategory_ext_Category_ext_fun$': $tType ).

thf('ZF_ZF_unit_Category_ext$_type',type,
    'ZF_ZF_unit_Category_ext$': $tType ).

thf('A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext_bool_fun$_type',type,
    'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext_bool_fun$': $tType ).

thf('functor$_type',type,
    'functor$': 'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext_bool_fun$' ).

thf('fun_app$a_type',type,
    'fun_app$a': 'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext_bool_fun$' > 'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext$' > $o ).

thf('fun_app$s_type',type,
    'fun_app$s': 'A_b_b_c_LSCategory_ext_Category_ext_a_b_b_c_LSCategory_ext_Category_ext_fun$' > 'A_b_b_c_LSCategory_ext_Category_ext$' > 'A_b_b_c_LSCategory_ext_Category_ext$' ).

thf('yFtorNT$_type',type,
    'yFtorNT$': 'A_b_b_c_LSCategory_ext_Category_ext$' > 'B$' > 'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext$' ).

thf('fun_app$r_type',type,
    'fun_app$r': 'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext_fun$' > 'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext$' > 'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext$' ).

thf('set$_type',type,
    'set$': 'ZF_ZF_unit_Category_ext$' ).

thf('f$_type',type,
    'f$': 'B$' ).

thf('catDom$_type',type,
    'catDom$': 'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext$' > 'A_b_b_c_LSCategory_ext_Category_ext$' ).

thf('oppositeCategory$_type',type,
    'oppositeCategory$': 'A_b_b_c_LSCategory_ext_Category_ext_a_b_b_c_LSCategory_ext_Category_ext_fun$' ).

thf('nTCod$_type',type,
    'nTCod$': 'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext_fun$' ).

thf('c$_type',type,
    'c$': 'A_b_b_c_LSCategory_ext_Category_ext$' ).

thf('nTCatDom$_type',type,
    'nTCatDom$': 'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext$' > 'A_b_b_c_LSCategory_ext_Category_ext$' ).

thf('nTDom$_type',type,
    'nTDom$': 'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext_fun$' ).

thf('functor_abbrev$_type',type,
    'functor_abbrev$': 'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext$' > 'A_b_b_c_LSCategory_ext_Category_ext$' > 'ZF_ZF_unit_Category_ext$' > $o ).

thf('catCod$_type',type,
    'catCod$': 'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext$' > 'ZF_ZF_unit_Category_ext$' ).

thf(axiom37,axiom,
    'functor_abbrev$' @ ( 'fun_app$r' @ 'nTDom$' @ ( 'yFtorNT$' @ 'c$' @ 'f$' ) ) @ ( 'fun_app$s' @ 'oppositeCategory$' @ 'c$' ) @ 'set$' ).

thf(zip_derived_cl8,plain,
    'functor_abbrev$' @ ( 'fun_app$r' @ 'nTDom$' @ ( 'yFtorNT$' @ 'c$' @ 'f$' ) ) @ ( 'fun_app$s' @ 'oppositeCategory$' @ 'c$' ) @ 'set$',
    inference(cnf,[status(esa)],[axiom37]) ).

thf(axiom72,axiom,
    ! [A__questionmark_v0: 'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext$',A__questionmark_v1: 'A_b_b_c_LSCategory_ext_Category_ext$',A__questionmark_v2: 'ZF_ZF_unit_Category_ext$'] :
      ~ ( ( 'functor_abbrev$' @ A__questionmark_v0 @ A__questionmark_v1 @ A__questionmark_v2 )
        & ( ( ( 'fun_app$a' @ 'functor$' @ A__questionmark_v0 )
            & ( ( 'catDom$' @ A__questionmark_v0 )
              = A__questionmark_v1 )
            & ( ( 'catCod$' @ A__questionmark_v0 )
              = A__questionmark_v2 ) )
         => $false ) ) ).

thf(zip_derived_cl22,plain,
    ! [X0: 'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext$',X1: 'A_b_b_c_LSCategory_ext_Category_ext$',X2: 'ZF_ZF_unit_Category_ext$'] :
      ( ~ ( 'functor_abbrev$' @ X0 @ X1 @ X2 )
      | ( ( 'catDom$' @ X0 )
        = X1 ) ),
    inference(cnf,[status(esa)],[axiom72]) ).

thf(zip_derived_cl310,plain,
    ( ( 'catDom$' @ ( 'fun_app$r' @ 'nTDom$' @ ( 'yFtorNT$' @ 'c$' @ 'f$' ) ) )
    = ( 'fun_app$s' @ 'oppositeCategory$' @ 'c$' ) ),
    inference('sup-',[status(thm)],[zip_derived_cl8,zip_derived_cl22]) ).

thf(conjecture27,conjecture,
    ( ( 'nTCatDom$' @ ( 'yFtorNT$' @ 'c$' @ 'f$' ) )
    = ( 'catDom$' @ ( 'fun_app$r' @ 'nTCod$' @ ( 'yFtorNT$' @ 'c$' @ 'f$' ) ) ) ) ).

thf(zf_stmt_0,negated_conjecture,
    ( ( 'nTCatDom$' @ ( 'yFtorNT$' @ 'c$' @ 'f$' ) )
   != ( 'catDom$' @ ( 'fun_app$r' @ 'nTCod$' @ ( 'yFtorNT$' @ 'c$' @ 'f$' ) ) ) ),
    inference('cnf.neg',[status(esa)],[conjecture27]) ).

thf(zip_derived_cl256,plain,
    ( ( 'nTCatDom$' @ ( 'yFtorNT$' @ 'c$' @ 'f$' ) )
   != ( 'catDom$' @ ( 'fun_app$r' @ 'nTCod$' @ ( 'yFtorNT$' @ 'c$' @ 'f$' ) ) ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(axiom36,axiom,
    ! [A__questionmark_v0: 'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext$'] :
      ( ( 'nTCatDom$' @ A__questionmark_v0 )
      = ( 'catDom$' @ ( 'fun_app$r' @ 'nTDom$' @ A__questionmark_v0 ) ) ) ).

thf(zip_derived_cl7,plain,
    ! [X0: 'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext$'] :
      ( ( 'nTCatDom$' @ X0 )
      = ( 'catDom$' @ ( 'fun_app$r' @ 'nTDom$' @ X0 ) ) ),
    inference(cnf,[status(esa)],[axiom36]) ).

thf(zip_derived_cl257,plain,
    ( ( 'catDom$' @ ( 'fun_app$r' @ 'nTDom$' @ ( 'yFtorNT$' @ 'c$' @ 'f$' ) ) )
   != ( 'catDom$' @ ( 'fun_app$r' @ 'nTCod$' @ ( 'yFtorNT$' @ 'c$' @ 'f$' ) ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl256,zip_derived_cl7]) ).

thf(axiom32,axiom,
    'functor_abbrev$' @ ( 'fun_app$r' @ 'nTCod$' @ ( 'yFtorNT$' @ 'c$' @ 'f$' ) ) @ ( 'fun_app$s' @ 'oppositeCategory$' @ 'c$' ) @ 'set$' ).

thf(zip_derived_cl5,plain,
    'functor_abbrev$' @ ( 'fun_app$r' @ 'nTCod$' @ ( 'yFtorNT$' @ 'c$' @ 'f$' ) ) @ ( 'fun_app$s' @ 'oppositeCategory$' @ 'c$' ) @ 'set$',
    inference(cnf,[status(esa)],[axiom32]) ).

thf(zip_derived_cl22_001,plain,
    ! [X0: 'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext$',X1: 'A_b_b_c_LSCategory_ext_Category_ext$',X2: 'ZF_ZF_unit_Category_ext$'] :
      ( ~ ( 'functor_abbrev$' @ X0 @ X1 @ X2 )
      | ( ( 'catDom$' @ X0 )
        = X1 ) ),
    inference(cnf,[status(esa)],[axiom72]) ).

thf(zip_derived_cl270,plain,
    ( ( 'catDom$' @ ( 'fun_app$r' @ 'nTCod$' @ ( 'yFtorNT$' @ 'c$' @ 'f$' ) ) )
    = ( 'fun_app$s' @ 'oppositeCategory$' @ 'c$' ) ),
    inference('sup-',[status(thm)],[zip_derived_cl5,zip_derived_cl22]) ).

thf(zip_derived_cl277,plain,
    ( ( 'catDom$' @ ( 'fun_app$r' @ 'nTDom$' @ ( 'yFtorNT$' @ 'c$' @ 'f$' ) ) )
   != ( 'fun_app$s' @ 'oppositeCategory$' @ 'c$' ) ),
    inference(demod,[status(thm)],[zip_derived_cl257,zip_derived_cl270]) ).

thf(zip_derived_cl312,plain,
    $false,
    inference('simplify_reflect-',[status(thm)],[zip_derived_cl310,zip_derived_cl277]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.05/0.16  % Problem  : ITP303_1 : TPTP v9.2.0. Released v8.0.0.
% 0.05/0.17  % Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.sfRbtWHH7e true
% 0.11/0.41  % Computer : n027.cluster.edu
% 0.11/0.41  % Model    : x86_64 x86_64
% 0.11/0.41  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.41  % Memory   : 8042.1875MB
% 0.11/0.41  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.11/0.41  % CPULimit : 300
% 0.11/0.41  % WCLimit  : 300
% 0.11/0.41  % DateTime : Wed Oct  1 15:34:38 EDT 2025
% 0.11/0.41  % CPUTime  : 
% 0.11/0.41  % Running portfolio for 300 s
% 0.11/0.41  % File         : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.17/0.41  % Number of cores: 8
% 0.17/0.42  % Python version: Python 3.6.8
% 0.17/0.42  % Running in FO mode
% 0.48/0.76  % Total configuration time : 435
% 0.48/0.76  % Estimated wc time : 1092
% 0.48/0.76  % Estimated cpu time (7 cpus) : 156.0
% 0.48/1.05  % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.49/1.07  % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.49/1.09  % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 1.37/1.18  % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 1.37/1.19  % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 1.49/1.21  % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 1.49/1.23  % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 2.14/1.61  % /export/starexec/sandbox2/solver/bin/fo/fo1_lcnf.sh running for 50s
% 2.47/1.67  % Solved by fo/fo7.sh.
% 2.47/1.67  % done 92 iterations in 0.362s
% 2.47/1.67  % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 2.47/1.67  % SZS output start Refutation
% See solution above
% 2.47/1.67  
% 2.47/1.67  
% 2.47/1.67  % Terminating...
% 3.13/1.89  % Runner terminated.
% 3.13/1.92  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------