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Zipperpin---2.1.9999.THM-Ref.s

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%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : SEU219+1 : TPTP v9.2.0. Released v3.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.AZCTZQuhmN true

% Computer : n017.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 0.53s 0.76s
% Output   : Refutation 0.53s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   13
%            Number of leaves      :    3
% Syntax   : Number of formulae    :   37 (  13 unt;   0 typ;   0 def)
%            Number of atoms       :   87 (  40 equ;   0 cnn)
%            Maximal formula atoms :    5 (   2 avg)
%            Number of connectives :  264 (  55   ~;  26   |;   6   &; 159   @)
%                                         (   0 <=>;   7  =>;  11  <=;   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(function_inverse_type,type,
    function_inverse: $i > $i ).

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

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

thf(sk__2_type,type,
    sk__2: $i ).

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

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

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

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_cl15,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_cl0,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_cl18,plain,
    ( ( ( relation_rng @ sk__2 )
     != ( relation_dom @ ( function_inverse @ sk__2 ) ) )
    | ( ( relation_dom @ sk__2 )
     != ( relation_rng @ ( function_inverse @ sk__2 ) ) ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl20,plain,
    ( ( ( relation_dom @ sk__2 )
     != ( relation_rng @ ( function_inverse @ sk__2 ) ) )
   <= ( ( relation_dom @ sk__2 )
     != ( relation_rng @ ( function_inverse @ sk__2 ) ) ) ),
    inference(split,[status(esa)],[zip_derived_cl18]) ).

thf(zip_derived_cl22,plain,
    ( ( ~ ( relation @ sk__2 )
      | ~ ( function @ sk__2 )
      | ~ ( one_to_one @ sk__2 )
      | ( ( relation_dom @ sk__2 )
       != ( relation_rng @ ( relation_inverse @ sk__2 ) ) ) )
   <= ( ( relation_dom @ sk__2 )
     != ( relation_rng @ ( function_inverse @ sk__2 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl0,zip_derived_cl20]) ).

thf(zip_derived_cl25,plain,
    ( ( ( relation_dom @ sk__2 )
     != ( relation_rng @ ( relation_inverse @ sk__2 ) ) )
   <= ( ( relation_dom @ sk__2 )
     != ( relation_rng @ ( relation_inverse @ sk__2 ) ) ) ),
    inference(split,[status(esa)],[zip_derived_cl22]) ).

thf(zip_derived_cl19,plain,
    one_to_one @ sk__2,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl24,plain,
    ( ~ ( one_to_one @ sk__2 )
   <= ~ ( one_to_one @ sk__2 ) ),
    inference(split,[status(esa)],[zip_derived_cl22]) ).

thf('0',plain,
    one_to_one @ sk__2,
    inference('s_sup-',[status(thm)],[zip_derived_cl19,zip_derived_cl24]) ).

thf(zip_derived_cl17,plain,
    function @ sk__2,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl26,plain,
    ( ~ ( function @ sk__2 )
   <= ~ ( function @ sk__2 ) ),
    inference(split,[status(esa)],[zip_derived_cl22]) ).

thf('1',plain,
    function @ sk__2,
    inference('s_sup-',[status(thm)],[zip_derived_cl17,zip_derived_cl26]) ).

thf(zip_derived_cl16,plain,
    relation @ sk__2,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl27,plain,
    ( ~ ( relation @ sk__2 )
   <= ~ ( relation @ sk__2 ) ),
    inference(split,[status(esa)],[zip_derived_cl22]) ).

thf('2',plain,
    relation @ sk__2,
    inference('s_sup-',[status(thm)],[zip_derived_cl16,zip_derived_cl27]) ).

thf(zip_derived_cl14,plain,
    ! [X0: $i] :
      ( ( ( relation_rng @ X0 )
        = ( relation_dom @ ( relation_inverse @ X0 ) ) )
      | ~ ( relation @ X0 ) ),
    inference(cnf,[status(esa)],[t37_relat_1]) ).

thf(zip_derived_cl0_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(zip_derived_cl21,plain,
    ( ( ( relation_rng @ sk__2 )
     != ( relation_dom @ ( function_inverse @ sk__2 ) ) )
   <= ( ( relation_rng @ sk__2 )
     != ( relation_dom @ ( function_inverse @ sk__2 ) ) ) ),
    inference(split,[status(esa)],[zip_derived_cl18]) ).

thf(zip_derived_cl23,plain,
    ( ( ~ ( relation @ sk__2 )
      | ~ ( function @ sk__2 )
      | ~ ( one_to_one @ sk__2 )
      | ( ( relation_rng @ sk__2 )
       != ( relation_dom @ ( relation_inverse @ sk__2 ) ) ) )
   <= ( ( relation_rng @ sk__2 )
     != ( relation_dom @ ( function_inverse @ sk__2 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl0,zip_derived_cl21]) ).

thf(zip_derived_cl29,plain,
    ( ( ( relation_rng @ sk__2 )
     != ( relation_dom @ ( relation_inverse @ sk__2 ) ) )
   <= ( ( relation_rng @ sk__2 )
     != ( relation_dom @ ( relation_inverse @ sk__2 ) ) ) ),
    inference(split,[status(esa)],[zip_derived_cl23]) ).

thf(zip_derived_cl42,plain,
    ( ( ~ ( relation @ sk__2 )
      | ( ( relation_rng @ sk__2 )
       != ( relation_rng @ sk__2 ) ) )
   <= ( ( relation_rng @ sk__2 )
     != ( relation_dom @ ( relation_inverse @ sk__2 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl14,zip_derived_cl29]) ).

thf(zip_derived_cl16_002,plain,
    relation @ sk__2,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl43,plain,
    ( ( ( relation_rng @ sk__2 )
     != ( relation_rng @ sk__2 ) )
   <= ( ( relation_rng @ sk__2 )
     != ( relation_dom @ ( relation_inverse @ sk__2 ) ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl42,zip_derived_cl16]) ).

thf('3',plain,
    ( ( relation_rng @ sk__2 )
    = ( relation_dom @ ( relation_inverse @ sk__2 ) ) ),
    inference(simplify,[status(thm)],[zip_derived_cl43]) ).

thf('4',plain,
    ( ( ( relation_dom @ sk__2 )
     != ( relation_rng @ ( relation_inverse @ sk__2 ) ) )
    | ( ( relation_dom @ sk__2 )
      = ( relation_rng @ ( function_inverse @ sk__2 ) ) )
    | ~ ( relation @ sk__2 )
    | ~ ( one_to_one @ sk__2 )
    | ~ ( function @ sk__2 ) ),
    inference(split,[status(esa)],[zip_derived_cl22]) ).

thf('5',plain,
    ( ( ( relation_rng @ sk__2 )
      = ( relation_dom @ ( function_inverse @ sk__2 ) ) )
    | ( ( relation_rng @ sk__2 )
     != ( relation_dom @ ( relation_inverse @ sk__2 ) ) )
    | ~ ( relation @ sk__2 )
    | ~ ( one_to_one @ sk__2 )
    | ~ ( function @ sk__2 ) ),
    inference(split,[status(esa)],[zip_derived_cl23]) ).

thf('6',plain,
    ( ( ( relation_dom @ sk__2 )
     != ( relation_rng @ ( function_inverse @ sk__2 ) ) )
    | ( ( relation_rng @ sk__2 )
     != ( relation_dom @ ( function_inverse @ sk__2 ) ) ) ),
    inference(split,[status(esa)],[zip_derived_cl18]) ).

thf('7',plain,
    ( ( relation_dom @ sk__2 )
   != ( relation_rng @ ( relation_inverse @ sk__2 ) ) ),
    inference('sat_resolution*',[status(thm)],['0','1','2','3','4','5','6']) ).

thf(zip_derived_cl46,plain,
    ( ( relation_dom @ sk__2 )
   != ( relation_rng @ ( relation_inverse @ sk__2 ) ) ),
    inference(simpl_trail,[status(thm)],[zip_derived_cl25,'7']) ).

thf(zip_derived_cl51,plain,
    ( ~ ( relation @ sk__2 )
    | ( ( relation_dom @ sk__2 )
     != ( relation_dom @ sk__2 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl15,zip_derived_cl46]) ).

thf(zip_derived_cl16_003,plain,
    relation @ sk__2,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl52,plain,
    ( ( relation_dom @ sk__2 )
   != ( relation_dom @ sk__2 ) ),
    inference(demod,[status(thm)],[zip_derived_cl51,zip_derived_cl16]) ).

thf(zip_derived_cl53,plain,
    $false,
    inference(simplify,[status(thm)],[zip_derived_cl52]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.11  % Problem  : SEU219+1 : TPTP v9.2.0. Released v3.3.0.
% 0.06/0.12  % Command  : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.AZCTZQuhmN true
% 0.11/0.33  % Computer : n017.cluster.edu
% 0.11/0.33  % Model    : x86_64 x86_64
% 0.11/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.33  % Memory   : 8042.1875MB
% 0.11/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.11/0.33  % CPULimit : 300
% 0.11/0.33  % WCLimit  : 300
% 0.11/0.33  % DateTime : Wed Oct  1 16:07:38 EDT 2025
% 0.11/0.33  % CPUTime  : 
% 0.11/0.33  % Running portfolio for 300 s
% 0.11/0.33  % File         : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.11/0.33  % Number of cores: 8
% 0.11/0.33  % Python version: Python 3.6.8
% 0.11/0.34  % Running in FO mode
% 0.43/0.62  % Total configuration time : 435
% 0.43/0.62  % Estimated wc time : 1092
% 0.43/0.62  % Estimated cpu time (7 cpus) : 156.0
% 0.51/0.72  % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.51/0.72  % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.51/0.72  % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.51/0.72  % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.51/0.73  % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 0.51/0.73  % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.51/0.75  % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 0.53/0.76  % Solved by fo/fo1_av.sh.
% 0.53/0.76  % done 29 iterations in 0.015s
% 0.53/0.76  % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 0.53/0.76  % SZS output start Refutation
% See solution above
% 0.53/0.76  
% 0.53/0.76  
% 0.53/0.76  % Terminating...
% 0.58/0.83  % Runner terminated.
% 1.78/0.85  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------