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Zipperpin---2.1.9999.THM-Ref.s

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%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : SEU303+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.L4FMmCAWMl true

% Computer : n008.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 04:54:10 PM UTC 2025

% Result   : Theorem 0.58s 0.77s
% Output   : Refutation 0.58s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    8
%            Number of leaves      :    3
% Syntax   : Number of formulae    :   18 (   8 unt;   0 typ;   0 def)
%            Number of atoms       :   38 (   4 equ;   0 cnn)
%            Maximal formula atoms :    4 (   2 avg)
%            Number of connectives :   96 (  12   ~;  10   |;   4   &;  64   @)
%                                         (   0 <=>;   6  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    9 (   4 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :    0 (   0   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :    9 (   7 usr;   2 con; 0-2 aty)
%            Number of variables   :   11 (   0   ^;  11   !;   0   ?;  11   :)

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

thf(relation_image_type,type,
    relation_image: $i > $i > $i ).

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

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

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

thf(finite_type,type,
    finite: $i > $o ).

thf(sk__1_type,type,
    sk__1: $i ).

thf(t26_finset_1,conjecture,
    ! [A: $i] :
      ( ( ( relation @ A )
        & ( function @ A ) )
     => ( ( finite @ ( relation_dom @ A ) )
       => ( finite @ ( relation_rng @ A ) ) ) ) ).

thf(zf_stmt_0,negated_conjecture,
    ~ ! [A: $i] :
        ( ( ( relation @ A )
          & ( function @ A ) )
       => ( ( finite @ ( relation_dom @ A ) )
         => ( finite @ ( relation_rng @ A ) ) ) ),
    inference('cnf.neg',[status(esa)],[t26_finset_1]) ).

thf(zip_derived_cl10,plain,
    ~ ( finite @ ( relation_rng @ sk__1 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl8,plain,
    relation @ sk__1,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(t146_relat_1,axiom,
    ! [A: $i] :
      ( ( relation @ A )
     => ( ( relation_image @ A @ ( relation_dom @ A ) )
        = ( relation_rng @ A ) ) ) ).

thf(zip_derived_cl6,plain,
    ! [X0: $i] :
      ( ( ( relation_image @ X0 @ ( relation_dom @ X0 ) )
        = ( relation_rng @ X0 ) )
      | ~ ( relation @ X0 ) ),
    inference(cnf,[status(esa)],[t146_relat_1]) ).

thf(zip_derived_cl59,plain,
    ( ( relation_image @ sk__1 @ ( relation_dom @ sk__1 ) )
    = ( relation_rng @ sk__1 ) ),
    inference('dp-resolution',[status(thm)],[zip_derived_cl8,zip_derived_cl6]) ).

thf(zip_derived_cl8_001,plain,
    relation @ sk__1,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl9,plain,
    function @ sk__1,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(fc13_finset_1,axiom,
    ! [A: $i,B: $i] :
      ( ( ( relation @ A )
        & ( function @ A )
        & ( finite @ B ) )
     => ( finite @ ( relation_image @ A @ B ) ) ) ).

thf(zip_derived_cl3,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( function @ X0 )
      | ~ ( relation @ X0 )
      | ~ ( finite @ X1 )
      | ( finite @ ( relation_image @ X0 @ X1 ) ) ),
    inference(cnf,[status(esa)],[fc13_finset_1]) ).

thf(zip_derived_cl44,plain,
    ! [X0: $i] :
      ( ( finite @ ( relation_image @ sk__1 @ X0 ) )
      | ~ ( finite @ X0 )
      | ~ ( relation @ sk__1 ) ),
    inference('dp-resolution',[status(thm)],[zip_derived_cl9,zip_derived_cl3]) ).

thf(zip_derived_cl68,plain,
    ! [X0: $i] :
      ( ( sk__1 != sk__1 )
      | ~ ( finite @ X0 )
      | ( finite @ ( relation_image @ sk__1 @ X0 ) ) ),
    inference('dp-resolution',[status(thm)],[zip_derived_cl8,zip_derived_cl44]) ).

thf(zip_derived_cl75,plain,
    ! [X0: $i] :
      ( ( finite @ ( relation_image @ sk__1 @ X0 ) )
      | ~ ( finite @ X0 ) ),
    inference(simplify,[status(thm)],[zip_derived_cl68]) ).

thf(zip_derived_cl76,plain,
    ( ( finite @ ( relation_rng @ sk__1 ) )
    | ~ ( finite @ ( relation_dom @ sk__1 ) ) ),
    inference('sup+',[status(thm)],[zip_derived_cl59,zip_derived_cl75]) ).

thf(zip_derived_cl11,plain,
    finite @ ( relation_dom @ sk__1 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl77,plain,
    finite @ ( relation_rng @ sk__1 ),
    inference(demod,[status(thm)],[zip_derived_cl76,zip_derived_cl11]) ).

thf(zip_derived_cl78,plain,
    $false,
    inference(demod,[status(thm)],[zip_derived_cl10,zip_derived_cl77]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.13  % Problem  : SEU303+1 : TPTP v9.2.0. Released v3.3.0.
% 0.04/0.14  % Command  : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.L4FMmCAWMl true
% 0.14/0.35  % Computer : n008.cluster.edu
% 0.14/0.35  % Model    : x86_64 x86_64
% 0.14/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35  % Memory   : 8042.1875MB
% 0.14/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35  % CPULimit : 300
% 0.14/0.35  % WCLimit  : 300
% 0.14/0.35  % DateTime : Wed Oct  1 16:14:08 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
% 0.14/0.36  % Python version: Python 3.6.8
% 0.14/0.36  % Running in FO mode
% 0.57/0.67  % Total configuration time : 435
% 0.57/0.67  % Estimated wc time : 1092
% 0.57/0.67  % Estimated cpu time (7 cpus) : 156.0
% 0.57/0.73  % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.57/0.74  % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.58/0.77  % Solved by fo/fo3_bce.sh.
% 0.58/0.77  % BCE start: 12
% 0.58/0.77  % BCE eliminated: 0
% 0.58/0.77  % PE start: 12
% 0.58/0.77  logic: eq
% 0.58/0.77  % PE eliminated: -3
% 0.58/0.77  % done 10 iterations in 0.008s
% 0.58/0.77  % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 0.58/0.77  % SZS output start Refutation
% See solution above
% 0.58/0.77  
% 0.58/0.77  
% 0.58/0.77  % Terminating...
% 0.67/0.86  % Runner terminated.
% 0.67/0.87  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------