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Zipperpin---2.1.9999.THM-Ref.s

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%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : SEU198+2 : TPTP v9.2.0. Released v3.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.Vvqhmb0Ugm true

% Computer : n003.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 04:53:47 PM UTC 2025

% Result   : Theorem 218.84s 32.04s
% Output   : Refutation 218.84s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    6
%            Number of leaves      :    3
% Syntax   : Number of formulae    :   14 (   4 unt;   0 typ;   0 def)
%            Number of atoms       :   30 (   0 equ;   0 cnn)
%            Maximal formula atoms :    4 (   2 avg)
%            Number of connectives :  111 (   9   ~;   9   |;   1   &;  86   @)
%                                         (   2 <=>;   4  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   12 (   8 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :    0 (   0   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :    9 (   8 usr;   3 con; 0-2 aty)
%            Number of variables   :   24 (   0   ^;  24   !;   0   ?;  24   :)

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

thf(subset_type,type,
    subset: $i > $i > $o ).

thf(in_type,type,
    in: $i > $i > $o ).

thf(relation_rng_restriction_type,type,
    relation_rng_restriction: $i > $i > $i ).

thf(sk__54_type,type,
    sk__54: $i ).

thf(sk__26_type,type,
    sk__26: $i > $i > $i ).

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

thf(sk__53_type,type,
    sk__53: $i ).

thf(d3_tarski,axiom,
    ! [A: $i,B: $i] :
      ( ( subset @ A @ B )
    <=> ! [C: $i] :
          ( ( in @ C @ A )
         => ( in @ C @ B ) ) ) ).

thf(zip_derived_cl81,plain,
    ! [X0: $i,X1: $i] :
      ( ( subset @ X0 @ X1 )
      | ( in @ ( sk__26 @ X1 @ X0 ) @ X0 ) ),
    inference(cnf,[status(esa)],[d3_tarski]) ).

thf(t115_relat_1,axiom,
    ! [A: $i,B: $i,C: $i] :
      ( ( relation @ C )
     => ( ( in @ A @ ( relation_rng @ ( relation_rng_restriction @ B @ C ) ) )
      <=> ( ( in @ A @ B )
          & ( in @ A @ ( relation_rng @ C ) ) ) ) ) ).

thf(zip_derived_cl227,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ~ ( in @ X0 @ ( relation_rng @ ( relation_rng_restriction @ X1 @ X2 ) ) )
      | ( in @ X0 @ X1 )
      | ~ ( relation @ X2 ) ),
    inference(cnf,[status(esa)],[t115_relat_1]) ).

thf(zip_derived_cl3886,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( subset @ ( relation_rng @ ( relation_rng_restriction @ X1 @ X0 ) ) @ X2 )
      | ( in @ ( sk__26 @ X2 @ ( relation_rng @ ( relation_rng_restriction @ X1 @ X0 ) ) ) @ X1 )
      | ~ ( relation @ X0 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl81,zip_derived_cl227]) ).

thf(zip_derived_cl80,plain,
    ! [X0: $i,X1: $i] :
      ( ( subset @ X0 @ X1 )
      | ~ ( in @ ( sk__26 @ X1 @ X0 ) @ X1 ) ),
    inference(cnf,[status(esa)],[d3_tarski]) ).

thf(zip_derived_cl102269,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( relation @ X1 )
      | ( subset @ ( relation_rng @ ( relation_rng_restriction @ X0 @ X1 ) ) @ X0 )
      | ( subset @ ( relation_rng @ ( relation_rng_restriction @ X0 @ X1 ) ) @ X0 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl3886,zip_derived_cl80]) ).

thf(zip_derived_cl102298,plain,
    ! [X0: $i,X1: $i] :
      ( ( subset @ ( relation_rng @ ( relation_rng_restriction @ X0 @ X1 ) ) @ X0 )
      | ~ ( relation @ X1 ) ),
    inference(simplify,[status(thm)],[zip_derived_cl102269]) ).

thf(t116_relat_1,conjecture,
    ! [A: $i,B: $i] :
      ( ( relation @ B )
     => ( subset @ ( relation_rng @ ( relation_rng_restriction @ A @ B ) ) @ A ) ) ).

thf(zf_stmt_0,negated_conjecture,
    ~ ! [A: $i,B: $i] :
        ( ( relation @ B )
       => ( subset @ ( relation_rng @ ( relation_rng_restriction @ A @ B ) ) @ A ) ),
    inference('cnf.neg',[status(esa)],[t116_relat_1]) ).

thf(zip_derived_cl229,plain,
    ~ ( subset @ ( relation_rng @ ( relation_rng_restriction @ sk__53 @ sk__54 ) ) @ sk__53 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl102357,plain,
    ~ ( relation @ sk__54 ),
    inference('s_sup-',[status(thm)],[zip_derived_cl102298,zip_derived_cl229]) ).

thf(zip_derived_cl228,plain,
    relation @ sk__54,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl102388,plain,
    $false,
    inference(demod,[status(thm)],[zip_derived_cl102357,zip_derived_cl228]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11  % Problem  : SEU198+2 : TPTP v9.2.0. Released v3.3.0.
% 0.03/0.12  % Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.Vvqhmb0Ugm true
% 0.10/0.32  % Computer : n003.cluster.edu
% 0.10/0.32  % Model    : x86_64 x86_64
% 0.10/0.32  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.32  % Memory   : 8042.1875MB
% 0.10/0.32  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.10/0.32  % CPULimit : 300
% 0.10/0.32  % WCLimit  : 300
% 0.10/0.32  % DateTime : Wed Oct  1 16:04:23 EDT 2025
% 0.10/0.32  % CPUTime  : 
% 0.10/0.32  % Running portfolio for 300 s
% 0.10/0.32  % File         : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.10/0.32  % Number of cores: 8
% 0.10/0.32  % Python version: Python 3.6.8
% 0.10/0.33  % Running in FO mode
% 0.45/0.60  % Total configuration time : 435
% 0.45/0.60  % Estimated wc time : 1092
% 0.45/0.60  % Estimated cpu time (7 cpus) : 156.0
% 0.45/0.64  % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.45/0.69  % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.45/0.69  % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.45/0.69  % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.45/0.69  % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.45/0.70  % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.45/0.71  % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 218.84/32.04  % Solved by fo/fo6_bce.sh.
% 218.84/32.04  % BCE start: 343
% 218.84/32.04  % BCE eliminated: 4
% 218.84/32.04  % PE start: 339
% 218.84/32.04  logic: eq
% 218.84/32.04  % PE eliminated: 0
% 218.84/32.04  % done 6237 iterations in 31.368s
% 218.84/32.04  % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 218.84/32.04  % SZS output start Refutation
% See solution above
% 218.84/32.04  
% 218.84/32.04  
% 218.84/32.04  % Terminating...
% 219.53/32.19  % Runner terminated.
% 219.53/32.20  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------