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Zipperpin---2.1.9999.THM-Ref.s

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%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : SEU588^2 : TPTP v9.2.0. Released v3.7.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.YZz0ZB1k0G true

% Computer : n002.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 04:55:12 PM UTC 2025

% Result   : Theorem 0.54s 0.79s
% Output   : Refutation 0.54s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    6
%            Number of leaves      :    6
% Syntax   : Number of formulae    :   15 (   7 unt;   0 typ;   0 def)
%            Number of atoms       :   46 (   4 equ;   0 cnn)
%            Maximal formula atoms :    6 (   3 avg)
%            Number of connectives :  132 (   5   ~;   5   |;   0   &; 104   @)
%                                         (   0 <=>;  18  =>;   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 (   8 usr;   5 con; 0-2 aty)
%            Number of variables   :   44 (   0   ^;  44   !;   0   ?;  44   :)

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

thf(subsetI2_type,type,
    subsetI2: $o ).

thf(binunion_type,type,
    binunion: $i > $i > $i ).

thf(binunionIR_type,type,
    binunionIR: $o ).

thf(sk__6_type,type,
    sk__6: $i ).

thf(sk__8_type,type,
    sk__8: $i > $i > $i ).

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

thf(sk__7_type,type,
    sk__7: $i ).

thf(binunionIR,axiom,
    ( binunionIR
    = ( ! [A: $i,B: $i,Xx: $i] :
          ( ( in @ Xx @ B )
         => ( in @ Xx @ ( binunion @ A @ B ) ) ) ) ) ).

thf('0',plain,
    ( binunionIR
    = ( ! [X4: $i,X6: $i,X8: $i] :
          ( ( in @ X8 @ X6 )
         => ( in @ X8 @ ( binunion @ X4 @ X6 ) ) ) ) ),
    define([status(thm)]) ).

thf(subsetI2,axiom,
    ( subsetI2
    = ( ! [A: $i,B: $i] :
          ( ! [Xx: $i] :
              ( ( in @ Xx @ A )
             => ( in @ Xx @ B ) )
         => ( subset @ A @ B ) ) ) ) ).

thf('1',plain,
    ( subsetI2
    = ( ! [X4: $i,X6: $i] :
          ( ! [X8: $i] :
              ( ( in @ X8 @ X4 )
             => ( in @ X8 @ X6 ) )
         => ( subset @ X4 @ X6 ) ) ) ),
    define([status(thm)]) ).

thf(binunionRsub,conjecture,
    ( subsetI2
   => ( binunionIR
     => ! [A: $i,B: $i] : ( subset @ B @ ( binunion @ A @ B ) ) ) ) ).

thf(zf_stmt_0,conjecture,
    ( ! [X4: $i,X6: $i] :
        ( ! [X8: $i] :
            ( ( in @ X8 @ X4 )
           => ( in @ X8 @ X6 ) )
       => ( subset @ X4 @ X6 ) )
   => ( ! [X10: $i,X12: $i,X14: $i] :
          ( ( in @ X14 @ X12 )
         => ( in @ X14 @ ( binunion @ X10 @ X12 ) ) )
     => ! [X16: $i,X18: $i] : ( subset @ X18 @ ( binunion @ X16 @ X18 ) ) ) ) ).

thf(zf_stmt_1,negated_conjecture,
    ~ ( ! [X4: $i,X6: $i] :
          ( ! [X8: $i] :
              ( ( in @ X8 @ X4 )
             => ( in @ X8 @ X6 ) )
         => ( subset @ X4 @ X6 ) )
     => ( ! [X10: $i,X12: $i,X14: $i] :
            ( ( in @ X14 @ X12 )
           => ( in @ X14 @ ( binunion @ X10 @ X12 ) ) )
       => ! [X16: $i,X18: $i] : ( subset @ X18 @ ( binunion @ X16 @ X18 ) ) ) ),
    inference('cnf.neg',[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl2,plain,
    ~ ( subset @ sk__7 @ ( binunion @ sk__6 @ sk__7 ) ),
    inference(cnf,[status(esa)],[zf_stmt_1]) ).

thf(zip_derived_cl1,plain,
    ! [X0: $i,X1: $i] :
      ( ( subset @ X0 @ X1 )
      | ( in @ ( sk__8 @ X1 @ X0 ) @ X0 ) ),
    inference(cnf,[status(esa)],[zf_stmt_1]) ).

thf(zip_derived_cl0,plain,
    ! [X0: $i,X1: $i] :
      ( ( subset @ X0 @ X1 )
      | ~ ( in @ ( sk__8 @ X1 @ X0 ) @ X1 ) ),
    inference(cnf,[status(esa)],[zf_stmt_1]) ).

thf(zip_derived_cl3,plain,
    ! [X2: $i,X3: $i,X4: $i] :
      ( ( in @ X2 @ ( binunion @ X3 @ X4 ) )
      | ~ ( in @ X2 @ X4 ) ),
    inference(cnf,[status(esa)],[zf_stmt_1]) ).

thf(zip_derived_cl5,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( subset @ X2 @ ( binunion @ X1 @ X0 ) )
      | ~ ( in @ ( sk__8 @ ( binunion @ X1 @ X0 ) @ X2 ) @ X0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl0,zip_derived_cl3]) ).

thf(zip_derived_cl18,plain,
    ! [X0: $i,X1: $i] :
      ( ( subset @ X0 @ ( binunion @ X1 @ X0 ) )
      | ( subset @ X0 @ ( binunion @ X1 @ X0 ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl1,zip_derived_cl5]) ).

thf(zip_derived_cl24,plain,
    ! [X0: $i,X1: $i] : ( subset @ X0 @ ( binunion @ X1 @ X0 ) ),
    inference(simplify,[status(thm)],[zip_derived_cl18]) ).

thf(zip_derived_cl28,plain,
    $false,
    inference(demod,[status(thm)],[zip_derived_cl2,zip_derived_cl24]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.13  % Problem  : SEU588^2 : TPTP v9.2.0. Released v3.7.0.
% 0.08/0.14  % Command  : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.YZz0ZB1k0G true
% 0.14/0.35  % Computer : n002.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 16:04:38 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 HO mode
% 0.54/0.66  % Total configuration time : 828
% 0.54/0.66  % Estimated wc time : 1656
% 0.54/0.66  % Estimated cpu time (8 cpus) : 207.0
% 0.54/0.75  % /export/starexec/sandbox/solver/bin/lams/35_full_unif4.sh running for 80s
% 0.54/0.76  % /export/starexec/sandbox/solver/bin/lams/40_c.s.sh running for 80s
% 0.54/0.77  % /export/starexec/sandbox/solver/bin/lams/40_c_ic.sh running for 80s
% 0.54/0.77  % /export/starexec/sandbox/solver/bin/lams/15_e_short1.sh running for 30s
% 0.54/0.78  % /export/starexec/sandbox/solver/bin/lams/40_noforms.sh running for 90s
% 0.54/0.79  % /export/starexec/sandbox/solver/bin/lams/40_b.comb.sh running for 70s
% 0.54/0.79  % Solved by lams/40_c.s.sh.
% 0.54/0.79  % done 9 iterations in 0.012s
% 0.54/0.79  % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 0.54/0.79  % SZS output start Refutation
% See solution above
% 0.54/0.79  
% 0.54/0.79  
% 0.54/0.79  % Terminating...
% 1.24/0.87  % Runner terminated.
% 1.24/0.88  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------