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Zipperpin---2.1.9999.THM-Ref.s

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%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : SEU239+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.3GDElCirM8 true

% Computer : n020.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 04:53:58 PM UTC 2025

% Result   : Theorem 28.32s 5.80s
% Output   : Refutation 28.32s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   12
%            Number of leaves      :    3
% Syntax   : Number of formulae    :   31 (  10 unt;   0 typ;   0 def)
%            Number of atoms       :   79 (   0 equ;   0 cnn)
%            Maximal formula atoms :    5 (   2 avg)
%            Number of connectives :  242 (  29   ~;  37   |;   0   &; 165   @)
%                                         (   4 <=>;   7  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   12 (   6 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :    0 (   0   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   10 (   9 usr;   3 con; 0-2 aty)
%            Number of variables   :   23 (   0   ^;  23   !;   0   ?;  23   :)

% Comments : 
%------------------------------------------------------------------------------
thf(reflexive_type,type,
    reflexive: $i > $o ).

thf(relation_field_type,type,
    relation_field: $i > $i ).

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

thf(is_reflexive_in_type,type,
    is_reflexive_in: $i > $i > $o ).

thf(sk__66_type,type,
    sk__66: $i ).

thf(ordered_pair_type,type,
    ordered_pair: $i > $i > $i ).

thf(sk__67_type,type,
    sk__67: $i ).

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

thf(sk__20_type,type,
    sk__20: $i > $i > $i ).

thf(l1_wellord1,conjecture,
    ! [A: $i] :
      ( ( relation @ A )
     => ( ( reflexive @ A )
      <=> ! [B: $i] :
            ( ( in @ B @ ( relation_field @ A ) )
           => ( in @ ( ordered_pair @ B @ B ) @ A ) ) ) ) ).

thf(zf_stmt_0,negated_conjecture,
    ~ ! [A: $i] :
        ( ( relation @ A )
       => ( ( reflexive @ A )
        <=> ! [B: $i] :
              ( ( in @ B @ ( relation_field @ A ) )
             => ( in @ ( ordered_pair @ B @ B ) @ A ) ) ) ),
    inference('cnf.neg',[status(esa)],[l1_wellord1]) ).

thf(zip_derived_cl309,plain,
    ( ( in @ sk__67 @ ( relation_field @ sk__66 ) )
    | ~ ( reflexive @ sk__66 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(d1_relat_2,axiom,
    ! [A: $i] :
      ( ( relation @ A )
     => ! [B: $i] :
          ( ( is_reflexive_in @ A @ B )
        <=> ! [C: $i] :
              ( ( in @ C @ B )
             => ( in @ ( ordered_pair @ C @ C ) @ A ) ) ) ) ).

thf(zip_derived_cl76,plain,
    ! [X0: $i,X1: $i] :
      ( ( in @ ( sk__20 @ X0 @ X1 ) @ X0 )
      | ( is_reflexive_in @ X1 @ X0 )
      | ~ ( relation @ X1 ) ),
    inference(cnf,[status(esa)],[d1_relat_2]) ).

thf(zip_derived_cl310,plain,
    ! [X0: $i] :
      ( ~ ( in @ X0 @ ( relation_field @ sk__66 ) )
      | ( in @ ( ordered_pair @ X0 @ X0 ) @ sk__66 )
      | ( reflexive @ sk__66 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl7257,plain,
    ! [X0: $i] :
      ( ~ ( relation @ X0 )
      | ( is_reflexive_in @ X0 @ ( relation_field @ sk__66 ) )
      | ( in @ ( ordered_pair @ ( sk__20 @ ( relation_field @ sk__66 ) @ X0 ) @ ( sk__20 @ ( relation_field @ sk__66 ) @ X0 ) ) @ sk__66 )
      | ( reflexive @ sk__66 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl76,zip_derived_cl310]) ).

thf(zip_derived_cl77,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( in @ ( ordered_pair @ ( sk__20 @ X0 @ X1 ) @ ( sk__20 @ X0 @ X1 ) ) @ X1 )
      | ( is_reflexive_in @ X1 @ X0 )
      | ~ ( relation @ X1 ) ),
    inference(cnf,[status(esa)],[d1_relat_2]) ).

thf(zip_derived_cl17615,plain,
    ( ( reflexive @ sk__66 )
    | ( is_reflexive_in @ sk__66 @ ( relation_field @ sk__66 ) )
    | ~ ( relation @ sk__66 )
    | ( is_reflexive_in @ sk__66 @ ( relation_field @ sk__66 ) )
    | ~ ( relation @ sk__66 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl7257,zip_derived_cl77]) ).

thf(zip_derived_cl307,plain,
    relation @ sk__66,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl307_001,plain,
    relation @ sk__66,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl17639,plain,
    ( ( reflexive @ sk__66 )
    | ( is_reflexive_in @ sk__66 @ ( relation_field @ sk__66 ) )
    | ( is_reflexive_in @ sk__66 @ ( relation_field @ sk__66 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl17615,zip_derived_cl307,zip_derived_cl307]) ).

thf(zip_derived_cl17640,plain,
    ( ( is_reflexive_in @ sk__66 @ ( relation_field @ sk__66 ) )
    | ( reflexive @ sk__66 ) ),
    inference(simplify,[status(thm)],[zip_derived_cl17639]) ).

thf(d9_relat_2,axiom,
    ! [A: $i] :
      ( ( relation @ A )
     => ( ( reflexive @ A )
      <=> ( is_reflexive_in @ A @ ( relation_field @ A ) ) ) ) ).

thf(zip_derived_cl211,plain,
    ! [X0: $i] :
      ( ~ ( is_reflexive_in @ X0 @ ( relation_field @ X0 ) )
      | ( reflexive @ X0 )
      | ~ ( relation @ X0 ) ),
    inference(cnf,[status(esa)],[d9_relat_2]) ).

thf(zip_derived_cl17708,plain,
    ( ( reflexive @ sk__66 )
    | ( reflexive @ sk__66 )
    | ~ ( relation @ sk__66 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl17640,zip_derived_cl211]) ).

thf(zip_derived_cl307_002,plain,
    relation @ sk__66,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl17714,plain,
    ( ( reflexive @ sk__66 )
    | ( reflexive @ sk__66 ) ),
    inference(demod,[status(thm)],[zip_derived_cl17708,zip_derived_cl307]) ).

thf(zip_derived_cl17715,plain,
    reflexive @ sk__66,
    inference(simplify,[status(thm)],[zip_derived_cl17714]) ).

thf(zip_derived_cl17762,plain,
    in @ sk__67 @ ( relation_field @ sk__66 ),
    inference(demod,[status(thm)],[zip_derived_cl309,zip_derived_cl17715]) ).

thf(zip_derived_cl212,plain,
    ! [X0: $i] :
      ( ~ ( reflexive @ X0 )
      | ( is_reflexive_in @ X0 @ ( relation_field @ X0 ) )
      | ~ ( relation @ X0 ) ),
    inference(cnf,[status(esa)],[d9_relat_2]) ).

thf(zip_derived_cl78,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ~ ( is_reflexive_in @ X0 @ X1 )
      | ( in @ ( ordered_pair @ X2 @ X2 ) @ X0 )
      | ~ ( in @ X2 @ X1 )
      | ~ ( relation @ X0 ) ),
    inference(cnf,[status(esa)],[d1_relat_2]) ).

thf(zip_derived_cl6321,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( relation @ X0 )
      | ~ ( reflexive @ X0 )
      | ( in @ ( ordered_pair @ X1 @ X1 ) @ X0 )
      | ~ ( in @ X1 @ ( relation_field @ X0 ) )
      | ~ ( relation @ X0 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl212,zip_derived_cl78]) ).

thf(zip_derived_cl6328,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( in @ X1 @ ( relation_field @ X0 ) )
      | ( in @ ( ordered_pair @ X1 @ X1 ) @ X0 )
      | ~ ( reflexive @ X0 )
      | ~ ( relation @ X0 ) ),
    inference(simplify,[status(thm)],[zip_derived_cl6321]) ).

thf(zip_derived_cl17774,plain,
    ( ( in @ ( ordered_pair @ sk__67 @ sk__67 ) @ sk__66 )
    | ~ ( reflexive @ sk__66 )
    | ~ ( relation @ sk__66 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl17762,zip_derived_cl6328]) ).

thf(zip_derived_cl308,plain,
    ( ~ ( in @ ( ordered_pair @ sk__67 @ sk__67 ) @ sk__66 )
    | ~ ( reflexive @ sk__66 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl17715_003,plain,
    reflexive @ sk__66,
    inference(simplify,[status(thm)],[zip_derived_cl17714]) ).

thf(zip_derived_cl17761,plain,
    ~ ( in @ ( ordered_pair @ sk__67 @ sk__67 ) @ sk__66 ),
    inference(demod,[status(thm)],[zip_derived_cl308,zip_derived_cl17715]) ).

thf(zip_derived_cl17715_004,plain,
    reflexive @ sk__66,
    inference(simplify,[status(thm)],[zip_derived_cl17714]) ).

thf(zip_derived_cl307_005,plain,
    relation @ sk__66,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl17780,plain,
    $false,
    inference(demod,[status(thm)],[zip_derived_cl17774,zip_derived_cl17761,zip_derived_cl17715,zip_derived_cl307]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.05/0.13  % Problem  : SEU239+2 : TPTP v9.2.0. Released v3.3.0.
% 0.05/0.14  % Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.3GDElCirM8 true
% 0.11/0.35  % Computer : n020.cluster.edu
% 0.11/0.35  % Model    : x86_64 x86_64
% 0.11/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.35  % Memory   : 8042.1875MB
% 0.11/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.11/0.35  % CPULimit : 300
% 0.11/0.35  % WCLimit  : 300
% 0.11/0.35  % DateTime : Wed Oct  1 16:10:08 EDT 2025
% 0.11/0.35  % CPUTime  : 
% 0.11/0.35  % Running portfolio for 300 s
% 0.11/0.35  % File         : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.11/0.35  % Number of cores: 8
% 0.11/0.35  % Python version: Python 3.6.8
% 0.11/0.35  % Running in FO mode
% 0.44/0.68  % Total configuration time : 435
% 0.44/0.68  % Estimated wc time : 1092
% 0.44/0.68  % Estimated cpu time (7 cpus) : 156.0
% 0.47/0.81  % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.47/0.81  % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.47/0.81  % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.47/0.81  % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.47/0.81  % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.47/0.81  % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.47/0.85  % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 28.32/5.80  % Solved by fo/fo6_bce.sh.
% 28.32/5.80  % BCE start: 584
% 28.32/5.80  % BCE eliminated: 4
% 28.32/5.80  % PE start: 580
% 28.32/5.80  logic: eq
% 28.32/5.80  % PE eliminated: 8
% 28.32/5.80  % done 1626 iterations in 4.925s
% 28.32/5.80  % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 28.32/5.80  % SZS output start Refutation
% See solution above
% 28.32/5.80  
% 28.32/5.80  
% 28.32/5.80  % Terminating...
% 28.90/6.02  % Runner terminated.
% 28.90/6.02  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------