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Zipperpin---2.1.9999.THM-Ref.s

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%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : SEU219+3 : TPTP v9.2.0. Released v3.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.I74LYI9Qdl true

% Computer : n005.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 04:53:52 PM UTC 2025

% Result   : Theorem 0.51s 0.76s
% Output   : Refutation 0.51s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   12
%            Number of leaves      :    3
% Syntax   : Number of formulae    :   27 (  12 unt;   0 typ;   0 def)
%            Number of atoms       :   61 (  26 equ;   0 cnn)
%            Maximal formula atoms :    5 (   2 avg)
%            Number of connectives :  171 (  32   ~;  21   |;   6   &; 105   @)
%                                         (   0 <=>;   7  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    7 (   4 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :    0 (   0   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   10 (   8 usr;   2 con; 0-2 aty)
%            Number of variables   :    8 (   0   ^;   8   !;   0   ?;   8   :)

% Comments : 
%------------------------------------------------------------------------------
thf(sk__5_type,type,
    sk__5: $i ).

thf(function_type,type,
    function: $i > $o ).

thf(relation_inverse_type,type,
    relation_inverse: $i > $i ).

thf(relation_dom_type,type,
    relation_dom: $i > $i ).

thf(function_inverse_type,type,
    function_inverse: $i > $i ).

thf(relation_rng_type,type,
    relation_rng: $i > $i ).

thf(relation_type,type,
    relation: $i > $o ).

thf(one_to_one_type,type,
    one_to_one: $i > $o ).

thf(t37_relat_1,axiom,
    ! [A: $i] :
      ( ( relation @ A )
     => ( ( ( relation_rng @ A )
          = ( relation_dom @ ( relation_inverse @ A ) ) )
        & ( ( relation_dom @ A )
          = ( relation_rng @ ( relation_inverse @ A ) ) ) ) ) ).

thf(zip_derived_cl29,plain,
    ! [X0: $i] :
      ( ( ( relation_dom @ X0 )
        = ( relation_rng @ ( relation_inverse @ X0 ) ) )
      | ~ ( relation @ X0 ) ),
    inference(cnf,[status(esa)],[t37_relat_1]) ).

thf(d9_funct_1,axiom,
    ! [A: $i] :
      ( ( ( relation @ A )
        & ( function @ A ) )
     => ( ( one_to_one @ A )
       => ( ( function_inverse @ A )
          = ( relation_inverse @ A ) ) ) ) ).

thf(zip_derived_cl5,plain,
    ! [X0: $i] :
      ( ~ ( one_to_one @ X0 )
      | ( ( function_inverse @ X0 )
        = ( relation_inverse @ X0 ) )
      | ~ ( function @ X0 )
      | ~ ( relation @ X0 ) ),
    inference(cnf,[status(esa)],[d9_funct_1]) ).

thf(zip_derived_cl28,plain,
    ! [X0: $i] :
      ( ( ( relation_rng @ X0 )
        = ( relation_dom @ ( relation_inverse @ X0 ) ) )
      | ~ ( relation @ X0 ) ),
    inference(cnf,[status(esa)],[t37_relat_1]) ).

thf(zip_derived_cl5_001,plain,
    ! [X0: $i] :
      ( ~ ( one_to_one @ X0 )
      | ( ( function_inverse @ X0 )
        = ( relation_inverse @ X0 ) )
      | ~ ( function @ X0 )
      | ~ ( relation @ X0 ) ),
    inference(cnf,[status(esa)],[d9_funct_1]) ).

thf(t55_funct_1,conjecture,
    ! [A: $i] :
      ( ( ( relation @ A )
        & ( function @ A ) )
     => ( ( one_to_one @ A )
       => ( ( ( relation_rng @ A )
            = ( relation_dom @ ( function_inverse @ A ) ) )
          & ( ( relation_dom @ A )
            = ( relation_rng @ ( function_inverse @ A ) ) ) ) ) ) ).

thf(zf_stmt_0,negated_conjecture,
    ~ ! [A: $i] :
        ( ( ( relation @ A )
          & ( function @ A ) )
       => ( ( one_to_one @ A )
         => ( ( ( relation_rng @ A )
              = ( relation_dom @ ( function_inverse @ A ) ) )
            & ( ( relation_dom @ A )
              = ( relation_rng @ ( function_inverse @ A ) ) ) ) ) ),
    inference('cnf.neg',[status(esa)],[t55_funct_1]) ).

thf(zip_derived_cl32,plain,
    ( ( ( relation_rng @ sk__5 )
     != ( relation_dom @ ( function_inverse @ sk__5 ) ) )
    | ( ( relation_dom @ sk__5 )
     != ( relation_rng @ ( function_inverse @ sk__5 ) ) ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl54,plain,
    ( ( ( relation_rng @ sk__5 )
     != ( relation_dom @ ( relation_inverse @ sk__5 ) ) )
    | ~ ( relation @ sk__5 )
    | ~ ( function @ sk__5 )
    | ~ ( one_to_one @ sk__5 )
    | ( ( relation_dom @ sk__5 )
     != ( relation_rng @ ( function_inverse @ sk__5 ) ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl5,zip_derived_cl32]) ).

thf(zip_derived_cl30,plain,
    relation @ sk__5,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl31,plain,
    function @ sk__5,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl33,plain,
    one_to_one @ sk__5,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl57,plain,
    ( ( ( relation_rng @ sk__5 )
     != ( relation_dom @ ( relation_inverse @ sk__5 ) ) )
    | ( ( relation_dom @ sk__5 )
     != ( relation_rng @ ( function_inverse @ sk__5 ) ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl54,zip_derived_cl30,zip_derived_cl31,zip_derived_cl33]) ).

thf(zip_derived_cl61,plain,
    ( ( ( relation_rng @ sk__5 )
     != ( relation_rng @ sk__5 ) )
    | ~ ( relation @ sk__5 )
    | ( ( relation_dom @ sk__5 )
     != ( relation_rng @ ( function_inverse @ sk__5 ) ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl28,zip_derived_cl57]) ).

thf(zip_derived_cl30_002,plain,
    relation @ sk__5,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl62,plain,
    ( ( ( relation_rng @ sk__5 )
     != ( relation_rng @ sk__5 ) )
    | ( ( relation_dom @ sk__5 )
     != ( relation_rng @ ( function_inverse @ sk__5 ) ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl61,zip_derived_cl30]) ).

thf(zip_derived_cl63,plain,
    ( ( relation_dom @ sk__5 )
   != ( relation_rng @ ( function_inverse @ sk__5 ) ) ),
    inference(simplify,[status(thm)],[zip_derived_cl62]) ).

thf(zip_derived_cl64,plain,
    ( ( ( relation_dom @ sk__5 )
     != ( relation_rng @ ( relation_inverse @ sk__5 ) ) )
    | ~ ( relation @ sk__5 )
    | ~ ( function @ sk__5 )
    | ~ ( one_to_one @ sk__5 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl5,zip_derived_cl63]) ).

thf(zip_derived_cl30_003,plain,
    relation @ sk__5,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl31_004,plain,
    function @ sk__5,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl33_005,plain,
    one_to_one @ sk__5,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl65,plain,
    ( ( relation_dom @ sk__5 )
   != ( relation_rng @ ( relation_inverse @ sk__5 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl64,zip_derived_cl30,zip_derived_cl31,zip_derived_cl33]) ).

thf(zip_derived_cl83,plain,
    ( ( ( relation_dom @ sk__5 )
     != ( relation_dom @ sk__5 ) )
    | ~ ( relation @ sk__5 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl29,zip_derived_cl65]) ).

thf(zip_derived_cl30_006,plain,
    relation @ sk__5,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl84,plain,
    ( ( relation_dom @ sk__5 )
   != ( relation_dom @ sk__5 ) ),
    inference(demod,[status(thm)],[zip_derived_cl83,zip_derived_cl30]) ).

thf(zip_derived_cl85,plain,
    $false,
    inference(simplify,[status(thm)],[zip_derived_cl84]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.11  % Problem  : SEU219+3 : TPTP v9.2.0. Released v3.2.0.
% 0.06/0.11  % Command  : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.I74LYI9Qdl true
% 0.12/0.32  % Computer : n005.cluster.edu
% 0.12/0.32  % Model    : x86_64 x86_64
% 0.12/0.32  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.32  % Memory   : 8042.1875MB
% 0.12/0.32  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.32  % CPULimit : 300
% 0.12/0.32  % WCLimit  : 300
% 0.12/0.32  % DateTime : Wed Oct  1 16:13:23 EDT 2025
% 0.12/0.32  % CPUTime  : 
% 0.12/0.32  % Running portfolio for 300 s
% 0.12/0.32  % File         : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.12/0.32  % Number of cores: 8
% 0.12/0.32  % Python version: Python 3.6.8
% 0.12/0.32  % Running in FO mode
% 0.47/0.61  % Total configuration time : 435
% 0.47/0.61  % Estimated wc time : 1092
% 0.47/0.61  % Estimated cpu time (7 cpus) : 156.0
% 0.50/0.70  % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.50/0.70  % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.50/0.70  % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.50/0.70  % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.50/0.71  % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.50/0.71  % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 0.50/0.71  % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 0.51/0.76  % Solved by fo/fo4.sh.
% 0.51/0.76  % done 51 iterations in 0.027s
% 0.51/0.76  % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 0.51/0.76  % SZS output start Refutation
% See solution above
% 0.51/0.76  
% 0.51/0.76  
% 0.51/0.76  % Terminating...
% 1.83/0.83  % Runner terminated.
% 1.83/0.84  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------