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Zipperpin---2.1.9999.THM-Ref.s

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%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : SEU596^2 : 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.qaJEzC0FE6 true

% Computer : n029.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 04:55:16 PM UTC 2025

% Result   : Theorem 1.37s 0.71s
% Output   : Refutation 1.37s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    7
%            Number of leaves      :    8
% Syntax   : Number of formulae    :   21 (   9 unt;   0 typ;   0 def)
%            Number of atoms       :   69 (  22 equ;   0 cnn)
%            Maximal formula atoms :    9 (   3 avg)
%            Number of connectives :  175 (  14   ~;   9   |;   3   &; 125   @)
%                                         (   0 <=>;  24  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   13 (   5 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :    0 (   0   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   11 (   9 usr;   7 con; 0-2 aty)
%            Number of variables   :   55 (   0   ^;  52   !;   3   ?;  55   :)

% Comments : 
%------------------------------------------------------------------------------
thf(sk__10_type,type,
    sk__10: $i > $i ).

thf(sk__9_type,type,
    sk__9: $i ).

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

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

thf(emptyI_type,type,
    emptyI: $o ).

thf(binintersectEL_type,type,
    binintersectEL: $o ).

thf(binintersect_type,type,
    binintersect: $i > $i > $i ).

thf(binintersectER_type,type,
    binintersectER: $o ).

thf(emptyset_type,type,
    emptyset: $i ).

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

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

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

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

thf(emptyI,axiom,
    ( emptyI
    = ( ! [A: $i] :
          ( ! [Xx: $i] :
              ~ ( in @ Xx @ A )
         => ( A = emptyset ) ) ) ) ).

thf('2',plain,
    ( emptyI
    = ( ! [X4: $i] :
          ( ! [X6: $i] :
              ~ ( in @ X6 @ X4 )
         => ( X4 = emptyset ) ) ) ),
    define([status(thm)]) ).

thf(disjointsetsI1,conjecture,
    ( emptyI
   => ( binintersectEL
     => ( binintersectER
       => ! [A: $i,B: $i] :
            ( ~ ? [Xx: $i] :
                  ( ( in @ Xx @ B )
                  & ( in @ Xx @ A ) )
           => ( ( binintersect @ A @ B )
              = emptyset ) ) ) ) ) ).

thf(zf_stmt_0,conjecture,
    ( ! [X4: $i] :
        ( ! [X6: $i] :
            ~ ( in @ X6 @ X4 )
       => ( X4 = emptyset ) )
   => ( ! [X8: $i,X10: $i,X12: $i] :
          ( ( in @ X12 @ ( binintersect @ X8 @ X10 ) )
         => ( in @ X12 @ X8 ) )
     => ( ! [X14: $i,X16: $i,X18: $i] :
            ( ( in @ X18 @ ( binintersect @ X14 @ X16 ) )
           => ( in @ X18 @ X16 ) )
       => ! [X20: $i,X22: $i] :
            ( ~ ? [X24: $i] :
                  ( ( in @ X24 @ X22 )
                  & ( in @ X24 @ X20 ) )
           => ( ( binintersect @ X20 @ X22 )
              = emptyset ) ) ) ) ) ).

thf(zf_stmt_1,negated_conjecture,
    ~ ( ! [X4: $i] :
          ( ! [X6: $i] :
              ~ ( in @ X6 @ X4 )
         => ( X4 = emptyset ) )
     => ( ! [X8: $i,X10: $i,X12: $i] :
            ( ( in @ X12 @ ( binintersect @ X8 @ X10 ) )
           => ( in @ X12 @ X8 ) )
       => ( ! [X14: $i,X16: $i,X18: $i] :
              ( ( in @ X18 @ ( binintersect @ X14 @ X16 ) )
             => ( in @ X18 @ X16 ) )
         => ! [X20: $i,X22: $i] :
              ( ~ ? [X24: $i] :
                    ( ( in @ X24 @ X22 )
                    & ( in @ X24 @ X20 ) )
             => ( ( binintersect @ X20 @ X22 )
                = emptyset ) ) ) ) ),
    inference('cnf.neg',[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl0,plain,
    ! [X0: $i] :
      ( ( X0 = emptyset )
      | ( in @ ( sk__10 @ X0 ) @ X0 ) ),
    inference(cnf,[status(esa)],[zf_stmt_1]) ).

thf(zip_derived_cl1,plain,
    ! [X1: $i,X2: $i,X3: $i] :
      ( ( in @ X1 @ X2 )
      | ~ ( in @ X1 @ ( binintersect @ X3 @ X2 ) ) ),
    inference(cnf,[status(esa)],[zf_stmt_1]) ).

thf(zip_derived_cl7,plain,
    ! [X0: $i,X1: $i] :
      ( ( ( binintersect @ X1 @ X0 )
        = emptyset )
      | ( in @ ( sk__10 @ ( binintersect @ X1 @ X0 ) ) @ X0 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl0,zip_derived_cl1]) ).

thf(zip_derived_cl3,plain,
    ! [X4: $i] :
      ( ~ ( in @ X4 @ sk__9 )
      | ~ ( in @ X4 @ sk__8 ) ),
    inference(cnf,[status(esa)],[zf_stmt_1]) ).

thf(zip_derived_cl11,plain,
    ! [X0: $i] :
      ( ( ( binintersect @ X0 @ sk__9 )
        = emptyset )
      | ~ ( in @ ( sk__10 @ ( binintersect @ X0 @ sk__9 ) ) @ sk__8 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl7,zip_derived_cl3]) ).

thf(zip_derived_cl0_001,plain,
    ! [X0: $i] :
      ( ( X0 = emptyset )
      | ( in @ ( sk__10 @ X0 ) @ X0 ) ),
    inference(cnf,[status(esa)],[zf_stmt_1]) ).

thf(zip_derived_cl4,plain,
    ! [X5: $i,X6: $i,X7: $i] :
      ( ( in @ X5 @ X6 )
      | ~ ( in @ X5 @ ( binintersect @ X6 @ X7 ) ) ),
    inference(cnf,[status(esa)],[zf_stmt_1]) ).

thf(zip_derived_cl9,plain,
    ! [X0: $i,X1: $i] :
      ( ( ( binintersect @ X1 @ X0 )
        = emptyset )
      | ( in @ ( sk__10 @ ( binintersect @ X1 @ X0 ) ) @ X1 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl0,zip_derived_cl4]) ).

thf(zip_derived_cl21,plain,
    ( ( ( binintersect @ sk__8 @ sk__9 )
      = emptyset )
    | ( ( binintersect @ sk__8 @ sk__9 )
      = emptyset ) ),
    inference('sup+',[status(thm)],[zip_derived_cl11,zip_derived_cl9]) ).

thf(zip_derived_cl27,plain,
    ( ( binintersect @ sk__8 @ sk__9 )
    = emptyset ),
    inference(simplify,[status(thm)],[zip_derived_cl21]) ).

thf(zip_derived_cl2,plain,
    ( ( binintersect @ sk__8 @ sk__9 )
   != emptyset ),
    inference(cnf,[status(esa)],[zf_stmt_1]) ).

thf(zip_derived_cl28,plain,
    $false,
    inference('simplify_reflect-',[status(thm)],[zip_derived_cl27,zip_derived_cl2]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.09  % Problem  : SEU596^2 : TPTP v9.2.0. Released v3.7.0.
% 0.00/0.10  % Command  : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.qaJEzC0FE6 true
% 0.10/0.31  % Computer : n029.cluster.edu
% 0.10/0.31  % Model    : x86_64 x86_64
% 0.10/0.31  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.31  % Memory   : 8042.1875MB
% 0.10/0.31  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.10/0.31  % CPULimit : 300
% 0.10/0.31  % WCLimit  : 300
% 0.10/0.31  % DateTime : Wed Oct  1 16:07:53 EDT 2025
% 0.10/0.31  % CPUTime  : 
% 0.10/0.31  % Running portfolio for 300 s
% 0.10/0.31  % File         : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.10/0.31  % Number of cores: 8
% 0.10/0.31  % Python version: Python 3.6.8
% 0.16/0.31  % Running in HO mode
% 0.17/0.58  % Total configuration time : 828
% 0.17/0.58  % Estimated wc time : 1656
% 0.17/0.58  % Estimated cpu time (8 cpus) : 207.0
% 1.03/0.66  % /export/starexec/sandbox/solver/bin/lams/40_c.s.sh running for 80s
% 1.03/0.66  % /export/starexec/sandbox/solver/bin/lams/35_full_unif4.sh running for 80s
% 1.03/0.66  % /export/starexec/sandbox/solver/bin/lams/15_e_short1.sh running for 30s
% 1.03/0.67  % /export/starexec/sandbox/solver/bin/lams/40_c_ic.sh running for 80s
% 1.03/0.67  % /export/starexec/sandbox/solver/bin/lams/40_noforms.sh running for 90s
% 1.03/0.67  % /export/starexec/sandbox/solver/bin/lams/40_b.comb.sh running for 70s
% 1.03/0.70  % /export/starexec/sandbox/solver/bin/lams/20_acsne_simpl.sh running for 40s
% 1.03/0.70  % /export/starexec/sandbox/solver/bin/lams/30_sp5.sh running for 60s
% 1.37/0.71  % Solved by lams/40_c.s.sh.
% 1.37/0.71  % done 11 iterations in 0.021s
% 1.37/0.71  % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 1.37/0.71  % SZS output start Refutation
% See solution above
% 1.37/0.71  
% 1.37/0.71  
% 1.37/0.71  % Terminating...
% 1.84/0.78  % Runner terminated.
% 1.84/0.80  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------