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Zipperpin---2.1.9999.THM-Ref.s

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%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : SEU750^2 : 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.dBVb2MGBj6 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 04:56:07 PM UTC 2025

% Result   : Theorem 0.60s 0.83s
% Output   : Refutation 0.60s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    5
%            Number of leaves      :    8
% Syntax   : Number of formulae    :   24 (  15 unt;   0 typ;   0 def)
%            Number of atoms       :   98 (   6 equ;   0 cnn)
%            Maximal formula atoms :   15 (   4 avg)
%            Number of connectives :  338 (  32   ~;  13   |;   0   &; 244   @)
%                                         (   0 <=>;  49  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   17 (   6 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :    0 (   0   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   13 (  11 usr;   8 con; 0-2 aty)
%            Number of variables   :   65 (   0   ^;  65   !;   0   ?;  65   :)

% Comments : 
%------------------------------------------------------------------------------
thf(setminusI_type,type,
    setminusI: $o ).

thf(sk__10_type,type,
    sk__10: $i ).

thf(sk__13_type,type,
    sk__13: $i ).

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

thf(setminusER_type,type,
    setminusER: $o ).

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

thf(sk__12_type,type,
    sk__12: $i ).

thf(setminus_type,type,
    setminus: $i > $i > $i ).

thf(powerset_type,type,
    powerset: $i > $i ).

thf(sk__11_type,type,
    sk__11: $i ).

thf(binunionTIRcontra_type,type,
    binunionTIRcontra: $o ).

thf(binunionTIRcontra,axiom,
    ( binunionTIRcontra
    = ( ! [A: $i,X: $i] :
          ( ( in @ X @ ( powerset @ A ) )
         => ! [Y: $i] :
              ( ( in @ Y @ ( powerset @ A ) )
             => ! [Xx: $i] :
                  ( ( in @ Xx @ A )
                 => ( ~ ( in @ Xx @ ( binunion @ X @ Y ) )
                   => ~ ( in @ Xx @ Y ) ) ) ) ) ) ) ).

thf('0',plain,
    ( binunionTIRcontra
    = ( ! [X4: $i,X6: $i] :
          ( ( in @ X6 @ ( powerset @ X4 ) )
         => ! [X8: $i] :
              ( ( in @ X8 @ ( powerset @ X4 ) )
             => ! [X10: $i] :
                  ( ( in @ X10 @ X4 )
                 => ( ~ ( in @ X10 @ ( binunion @ X6 @ X8 ) )
                   => ~ ( in @ X10 @ X8 ) ) ) ) ) ) ),
    define([status(thm)]) ).

thf(setminusER,axiom,
    ( setminusER
    = ( ! [A: $i,B: $i,Xx: $i] :
          ( ( in @ Xx @ ( setminus @ A @ B ) )
         => ~ ( in @ Xx @ B ) ) ) ) ).

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

thf(setminusI,axiom,
    ( setminusI
    = ( ! [A: $i,B: $i,Xx: $i] :
          ( ( in @ Xx @ A )
         => ( ~ ( in @ Xx @ B )
           => ( in @ Xx @ ( setminus @ A @ B ) ) ) ) ) ) ).

thf('2',plain,
    ( setminusI
    = ( ! [X4: $i,X6: $i,X8: $i] :
          ( ( in @ X8 @ X4 )
         => ( ~ ( in @ X8 @ X6 )
           => ( in @ X8 @ ( setminus @ X4 @ X6 ) ) ) ) ) ),
    define([status(thm)]) ).

thf(demorgan2a2,conjecture,
    ( setminusI
   => ( setminusER
     => ( binunionTIRcontra
       => ! [A: $i,X: $i] :
            ( ( in @ X @ ( powerset @ A ) )
           => ! [Y: $i] :
                ( ( in @ Y @ ( powerset @ A ) )
               => ! [Xx: $i] :
                    ( ( in @ Xx @ A )
                   => ( ( in @ Xx @ ( setminus @ A @ ( binunion @ X @ Y ) ) )
                     => ( in @ Xx @ ( setminus @ A @ Y ) ) ) ) ) ) ) ) ) ).

thf(zf_stmt_0,conjecture,
    ( ! [X4: $i,X6: $i,X8: $i] :
        ( ( in @ X8 @ X4 )
       => ( ~ ( in @ X8 @ X6 )
         => ( in @ X8 @ ( setminus @ X4 @ X6 ) ) ) )
   => ( ! [X10: $i,X12: $i,X14: $i] :
          ( ( in @ X14 @ ( setminus @ X10 @ X12 ) )
         => ~ ( in @ X14 @ X12 ) )
     => ( ! [X16: $i,X18: $i] :
            ( ( in @ X18 @ ( powerset @ X16 ) )
           => ! [X20: $i] :
                ( ( in @ X20 @ ( powerset @ X16 ) )
               => ! [X22: $i] :
                    ( ( in @ X22 @ X16 )
                   => ( ~ ( in @ X22 @ ( binunion @ X18 @ X20 ) )
                     => ~ ( in @ X22 @ X20 ) ) ) ) )
       => ! [X24: $i,X26: $i] :
            ( ( in @ X26 @ ( powerset @ X24 ) )
           => ! [X28: $i] :
                ( ( in @ X28 @ ( powerset @ X24 ) )
               => ! [X30: $i] :
                    ( ( in @ X30 @ X24 )
                   => ( ( in @ X30 @ ( setminus @ X24 @ ( binunion @ X26 @ X28 ) ) )
                     => ( in @ X30 @ ( setminus @ X24 @ X28 ) ) ) ) ) ) ) ) ) ).

thf(zf_stmt_1,negated_conjecture,
    ~ ( ! [X4: $i,X6: $i,X8: $i] :
          ( ( in @ X8 @ X4 )
         => ( ~ ( in @ X8 @ X6 )
           => ( in @ X8 @ ( setminus @ X4 @ X6 ) ) ) )
     => ( ! [X10: $i,X12: $i,X14: $i] :
            ( ( in @ X14 @ ( setminus @ X10 @ X12 ) )
           => ~ ( in @ X14 @ X12 ) )
       => ( ! [X16: $i,X18: $i] :
              ( ( in @ X18 @ ( powerset @ X16 ) )
             => ! [X20: $i] :
                  ( ( in @ X20 @ ( powerset @ X16 ) )
                 => ! [X22: $i] :
                      ( ( in @ X22 @ X16 )
                     => ( ~ ( in @ X22 @ ( binunion @ X18 @ X20 ) )
                       => ~ ( in @ X22 @ X20 ) ) ) ) )
         => ! [X24: $i,X26: $i] :
              ( ( in @ X26 @ ( powerset @ X24 ) )
             => ! [X28: $i] :
                  ( ( in @ X28 @ ( powerset @ X24 ) )
                 => ! [X30: $i] :
                      ( ( in @ X30 @ X24 )
                     => ( ( in @ X30 @ ( setminus @ X24 @ ( binunion @ X26 @ X28 ) ) )
                       => ( in @ X30 @ ( setminus @ X24 @ X28 ) ) ) ) ) ) ) ) ),
    inference('cnf.neg',[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl2,plain,
    in @ sk__12 @ ( powerset @ sk__10 ),
    inference(cnf,[status(esa)],[zf_stmt_1]) ).

thf(zip_derived_cl1,plain,
    ! [X3: $i,X4: $i,X5: $i,X6: $i] :
      ( ~ ( in @ X3 @ ( powerset @ X4 ) )
      | ( in @ X5 @ ( binunion @ X6 @ X3 ) )
      | ~ ( in @ X5 @ X3 )
      | ~ ( in @ X5 @ X4 )
      | ~ ( in @ X6 @ ( powerset @ X4 ) ) ),
    inference(cnf,[status(esa)],[zf_stmt_1]) ).

thf(zip_derived_cl26,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( in @ X0 @ ( powerset @ sk__10 ) )
      | ~ ( in @ X1 @ sk__10 )
      | ~ ( in @ X1 @ sk__12 )
      | ( in @ X1 @ ( binunion @ X0 @ sk__12 ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl2,zip_derived_cl1]) ).

thf(zip_derived_cl3,plain,
    in @ sk__13 @ ( setminus @ sk__10 @ ( binunion @ sk__11 @ sk__12 ) ),
    inference(cnf,[status(esa)],[zf_stmt_1]) ).

thf(zip_derived_cl7,plain,
    ! [X7: $i,X8: $i,X9: $i] :
      ( ~ ( in @ X7 @ X8 )
      | ~ ( in @ X7 @ ( setminus @ X9 @ X8 ) ) ),
    inference(cnf,[status(esa)],[zf_stmt_1]) ).

thf(zip_derived_cl16,plain,
    ~ ( in @ sk__13 @ ( binunion @ sk__11 @ sk__12 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl3,zip_derived_cl7]) ).

thf(zip_derived_cl56,plain,
    ( ~ ( in @ sk__13 @ sk__12 )
    | ~ ( in @ sk__13 @ sk__10 )
    | ~ ( in @ sk__11 @ ( powerset @ sk__10 ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl26,zip_derived_cl16]) ).

thf(zip_derived_cl5,plain,
    in @ sk__13 @ sk__10,
    inference(cnf,[status(esa)],[zf_stmt_1]) ).

thf(zip_derived_cl0,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( in @ X0 @ X1 )
      | ( in @ X0 @ ( setminus @ X2 @ X1 ) )
      | ~ ( in @ X0 @ X2 ) ),
    inference(cnf,[status(esa)],[zf_stmt_1]) ).

thf(zip_derived_cl8,plain,
    ! [X0: $i] :
      ( ( in @ sk__13 @ ( setminus @ sk__10 @ X0 ) )
      | ( in @ sk__13 @ X0 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl5,zip_derived_cl0]) ).

thf(zip_derived_cl4,plain,
    ~ ( in @ sk__13 @ ( setminus @ sk__10 @ sk__12 ) ),
    inference(cnf,[status(esa)],[zf_stmt_1]) ).

thf(zip_derived_cl18,plain,
    in @ sk__13 @ sk__12,
    inference('sup-',[status(thm)],[zip_derived_cl8,zip_derived_cl4]) ).

thf(zip_derived_cl5_001,plain,
    in @ sk__13 @ sk__10,
    inference(cnf,[status(esa)],[zf_stmt_1]) ).

thf(zip_derived_cl6,plain,
    in @ sk__11 @ ( powerset @ sk__10 ),
    inference(cnf,[status(esa)],[zf_stmt_1]) ).

thf(zip_derived_cl60,plain,
    $false,
    inference(demod,[status(thm)],[zip_derived_cl56,zip_derived_cl18,zip_derived_cl5,zip_derived_cl6]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.13  % Problem  : SEU750^2 : TPTP v9.2.0. Released v3.7.0.
% 0.08/0.15  % Command  : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.dBVb2MGBj6 true
% 0.14/0.36  % Computer : n008.cluster.edu
% 0.14/0.36  % Model    : x86_64 x86_64
% 0.14/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36  % Memory   : 8042.1875MB
% 0.14/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36  % CPULimit : 300
% 0.14/0.36  % WCLimit  : 300
% 0.14/0.36  % DateTime : Wed Oct  1 16:03:53 EDT 2025
% 0.14/0.36  % CPUTime  : 
% 0.14/0.36  % Running portfolio for 300 s
% 0.14/0.36  % File         : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.14/0.36  % Number of cores: 8
% 0.14/0.37  % Python version: Python 3.6.8
% 0.14/0.37  % Running in HO mode
% 0.59/0.70  % Total configuration time : 828
% 0.59/0.70  % Estimated wc time : 1656
% 0.59/0.70  % Estimated cpu time (8 cpus) : 207.0
% 0.60/0.77  % /export/starexec/sandbox/solver/bin/lams/40_c.s.sh running for 80s
% 0.60/0.78  % /export/starexec/sandbox/solver/bin/lams/40_c_ic.sh running for 80s
% 0.60/0.78  % /export/starexec/sandbox/solver/bin/lams/35_full_unif4.sh running for 80s
% 0.60/0.80  % /export/starexec/sandbox/solver/bin/lams/15_e_short1.sh running for 30s
% 0.60/0.80  % /export/starexec/sandbox/solver/bin/lams/40_noforms.sh running for 90s
% 0.60/0.80  % /export/starexec/sandbox/solver/bin/lams/20_acsne_simpl.sh running for 40s
% 0.60/0.80  % /export/starexec/sandbox/solver/bin/lams/40_b.comb.sh running for 70s
% 0.60/0.82  % /export/starexec/sandbox/solver/bin/lams/30_sp5.sh running for 60s
% 0.60/0.83  % Solved by lams/40_c_ic.sh.
% 0.60/0.83  % done 28 iterations in 0.022s
% 0.60/0.83  % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 0.60/0.83  % SZS output start Refutation
% See solution above
% 0.60/0.83  
% 0.60/0.83  
% 0.60/0.83  % Terminating...
% 1.63/0.89  % Runner terminated.
% 1.63/0.90  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------