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Zipperpin---2.1.9999.THM-Ref.s

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%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : SEU531^2 : TPTP v9.2.0. Released v3.7.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.krlrqjzDH2 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 04:54:56 PM UTC 2025

% Result   : Theorem 0.49s 0.74s
% Output   : Refutation 0.49s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    7
%            Number of leaves      :    6
% Syntax   : Number of formulae    :   17 (  10 unt;   0 typ;   0 def)
%            Number of atoms       :   55 (  25 equ;   0 cnn)
%            Maximal formula atoms :    8 (   3 avg)
%            Number of connectives :  137 (   6   ~;  10   |;   0   &;  88   @)
%                                         (   0 <=>;  33  =>;   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     :   10 (   8 usr;   7 con; 0-2 aty)
%            Number of variables   :   42 (   0   ^;  42   !;   0   ?;  42   :)

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

thf(uniqinunit_type,type,
    uniqinunit: $o ).

thf(setadjoin_type,type,
    setadjoin: $i > $i > $i ).

thf(setadjoinE_type,type,
    setadjoinE: $o ).

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

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

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

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

thf(uniqinunit,axiom,
    ( uniqinunit
    = ( ! [Xx: $i,Xy: $i] :
          ( ( in @ Xx @ ( setadjoin @ Xy @ emptyset ) )
         => ( Xx = Xy ) ) ) ) ).

thf('0',plain,
    ( uniqinunit
    = ( ! [X4: $i,X6: $i] :
          ( ( in @ X4 @ ( setadjoin @ X6 @ emptyset ) )
         => ( X4 = X6 ) ) ) ),
    define([status(thm)]) ).

thf(setadjoinE,axiom,
    ( setadjoinE
    = ( ! [Xx: $i,A: $i,Xy: $i] :
          ( ( in @ Xy @ ( setadjoin @ Xx @ A ) )
         => ! [Xphi: $o] :
              ( ( ( Xy = Xx )
               => Xphi )
             => ( ( ( in @ Xy @ A )
                 => Xphi )
               => Xphi ) ) ) ) ) ).

thf('1',plain,
    ( setadjoinE
    = ( ! [X4: $i,X6: $i,X8: $i] :
          ( ( in @ X8 @ ( setadjoin @ X4 @ X6 ) )
         => ! [X10: $o] :
              ( ( ( X8 = X4 )
               => X10 )
             => ( ( ( in @ X8 @ X6 )
                 => X10 )
               => X10 ) ) ) ) ),
    define([status(thm)]) ).

thf(upairsetE,conjecture,
    ( setadjoinE
   => ( uniqinunit
     => ! [Xx: $i,Xy: $i,Xz: $i] :
          ( ( in @ Xz @ ( setadjoin @ Xx @ ( setadjoin @ Xy @ emptyset ) ) )
         => ( ( Xz = Xx )
            | ( Xz = Xy ) ) ) ) ) ).

thf(zf_stmt_0,conjecture,
    ( ! [X4: $i,X6: $i,X8: $i] :
        ( ( in @ X8 @ ( setadjoin @ X4 @ X6 ) )
       => ! [X10: $o] :
            ( ( ( X8 = X4 )
             => X10 )
           => ( ( ( in @ X8 @ X6 )
               => X10 )
             => X10 ) ) )
   => ( ! [X12: $i,X14: $i] :
          ( ( in @ X12 @ ( setadjoin @ X14 @ emptyset ) )
         => ( X12 = X14 ) )
     => ! [X16: $i,X18: $i,X20: $i] :
          ( ( in @ X20 @ ( setadjoin @ X16 @ ( setadjoin @ X18 @ emptyset ) ) )
         => ( ( X20 = X16 )
            | ( X20 = X18 ) ) ) ) ) ).

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

thf(zip_derived_cl7,plain,
    ! [X4: $i,X5: $i] :
      ( ( X5 = X4 )
      | ~ ( in @ X5 @ ( setadjoin @ X4 @ emptyset ) ) ),
    inference(cnf,[status(esa)],[zf_stmt_1]) ).

thf(zip_derived_cl6,plain,
    in @ sk__8 @ ( setadjoin @ sk__6 @ ( setadjoin @ sk__7 @ emptyset ) ),
    inference(cnf,[status(esa)],[zf_stmt_1]) ).

thf(zip_derived_cl3,plain,
    ! [X0: $o,X1: $i,X2: $i,X3: $i] :
      ( ( X1 = X2 )
      | X0
      | ( in @ X1 @ X3 )
      | ~ ( in @ X1 @ ( setadjoin @ X2 @ X3 ) ) ),
    inference(cnf,[status(esa)],[zf_stmt_1]) ).

thf(zip_derived_cl8,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( X0 = X1 )
      | ~ ( in @ X0 @ ( setadjoin @ X1 @ X2 ) )
      | ( in @ X0 @ X2 ) ),
    inference(condensation,[status(thm)],[zip_derived_cl3]) ).

thf(zip_derived_cl9,plain,
    ( ( in @ sk__8 @ ( setadjoin @ sk__7 @ emptyset ) )
    | ( sk__8 = sk__6 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl6,zip_derived_cl8]) ).

thf(zip_derived_cl5,plain,
    sk__8 != sk__6,
    inference(cnf,[status(esa)],[zf_stmt_1]) ).

thf(zip_derived_cl11,plain,
    in @ sk__8 @ ( setadjoin @ sk__7 @ emptyset ),
    inference('simplify_reflect-',[status(thm)],[zip_derived_cl9,zip_derived_cl5]) ).

thf(zip_derived_cl15,plain,
    sk__8 = sk__7,
    inference('sup+',[status(thm)],[zip_derived_cl7,zip_derived_cl11]) ).

thf(zip_derived_cl4,plain,
    sk__8 != sk__7,
    inference(cnf,[status(esa)],[zf_stmt_1]) ).

thf(zip_derived_cl19,plain,
    $false,
    inference('simplify_reflect-',[status(thm)],[zip_derived_cl15,zip_derived_cl4]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11  % Problem  : SEU531^2 : TPTP v9.2.0. Released v3.7.0.
% 0.03/0.12  % Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.krlrqjzDH2 true
% 0.11/0.32  % Computer : n020.cluster.edu
% 0.11/0.32  % Model    : x86_64 x86_64
% 0.11/0.32  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.32  % Memory   : 8042.1875MB
% 0.11/0.32  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.11/0.32  % CPULimit : 300
% 0.11/0.32  % WCLimit  : 300
% 0.11/0.32  % DateTime : Wed Oct  1 16:13:53 EDT 2025
% 0.11/0.32  % CPUTime  : 
% 0.11/0.32  % Running portfolio for 300 s
% 0.11/0.32  % File         : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.11/0.32  % Number of cores: 8
% 0.11/0.33  % Python version: Python 3.6.8
% 0.11/0.33  % Running in HO mode
% 0.47/0.63  % Total configuration time : 828
% 0.47/0.63  % Estimated wc time : 1656
% 0.47/0.63  % Estimated cpu time (8 cpus) : 207.0
% 0.48/0.70  % /export/starexec/sandbox2/solver/bin/lams/40_c.s.sh running for 80s
% 0.48/0.70  % /export/starexec/sandbox2/solver/bin/lams/35_full_unif4.sh running for 80s
% 0.48/0.70  % /export/starexec/sandbox2/solver/bin/lams/40_c_ic.sh running for 80s
% 0.48/0.70  % /export/starexec/sandbox2/solver/bin/lams/15_e_short1.sh running for 30s
% 0.49/0.71  % /export/starexec/sandbox2/solver/bin/lams/40_noforms.sh running for 90s
% 0.49/0.71  % /export/starexec/sandbox2/solver/bin/lams/40_b.comb.sh running for 70s
% 0.49/0.71  % /export/starexec/sandbox2/solver/bin/lams/30_sp5.sh running for 60s
% 0.49/0.71  % /export/starexec/sandbox2/solver/bin/lams/20_acsne_simpl.sh running for 40s
% 0.49/0.74  % Solved by lams/40_c_ic.sh.
% 0.49/0.74  % done 5 iterations in 0.013s
% 0.49/0.74  % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 0.49/0.74  % SZS output start Refutation
% See solution above
% 0.49/0.74  
% 0.49/0.74  
% 0.49/0.74  % Terminating...
% 0.53/0.82  % Runner terminated.
% 0.53/0.83  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------