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Zipperpin---2.1.9999.THM-Ref.s

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%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : SEU635^2 : 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.uZMqrsYe0T 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 04:55:29 PM UTC 2025

% Result   : Theorem 0.55s 0.81s
% Output   : Refutation 0.55s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    7
%            Number of leaves      :    8
% Syntax   : Number of formulae    :   19 (  10 unt;   0 typ;   0 def)
%            Number of atoms       :   64 (   6 equ;   0 cnn)
%            Maximal formula atoms :    8 (   3 avg)
%            Number of connectives :  183 (   6   ~;   8   |;   0   &; 144   @)
%                                         (   0 <=>;  25  =>;   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     :   12 (  10 usr;   6 con; 0-2 aty)
%            Number of variables   :   54 (   0   ^;  54   !;   0   ?;  54   :)

% Comments : 
%------------------------------------------------------------------------------
thf(setadjoinIL_type,type,
    setadjoinIL: $o ).

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

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

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

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

thf(setunionI_type,type,
    setunionI: $o ).

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

thf(setunion_type,type,
    setunion: $i > $i ).

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

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

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

thf('0',plain,
    ( subsetI2
    = ( ! [X4: $i,X6: $i] :
          ( ! [X8: $i] :
              ( ( in @ X8 @ X4 )
             => ( in @ X8 @ X6 ) )
         => ( subset @ X4 @ X6 ) ) ) ),
    define([status(thm)]) ).

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

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

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

thf('2',plain,
    ( setadjoinIL
    = ( ! [X4: $i,X6: $i] : ( in @ X4 @ ( setadjoin @ X4 @ X6 ) ) ) ),
    define([status(thm)]) ).

thf(setunionsingleton2,conjecture,
    ( setadjoinIL
   => ( setunionI
     => ( subsetI2
       => ! [A: $i] : ( subset @ A @ ( setunion @ ( setadjoin @ A @ emptyset ) ) ) ) ) ) ).

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

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

thf(zip_derived_cl3,plain,
    ~ ( subset @ sk__8 @ ( setunion @ ( setadjoin @ sk__8 @ emptyset ) ) ),
    inference(cnf,[status(esa)],[zf_stmt_1]) ).

thf(zip_derived_cl1,plain,
    ! [X2: $i,X3: $i] :
      ( ( subset @ X2 @ X3 )
      | ~ ( in @ ( sk__9 @ X3 @ X2 ) @ X3 ) ),
    inference(cnf,[status(esa)],[zf_stmt_1]) ).

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

thf(zip_derived_cl2,plain,
    ! [X2: $i,X3: $i] :
      ( ( subset @ X2 @ X3 )
      | ( in @ ( sk__9 @ X3 @ X2 ) @ X2 ) ),
    inference(cnf,[status(esa)],[zf_stmt_1]) ).

thf(zip_derived_cl4,plain,
    ! [X4: $i,X5: $i,X6: $i] :
      ( ( in @ X4 @ ( setunion @ X5 ) )
      | ~ ( in @ X4 @ X6 )
      | ~ ( in @ X6 @ X5 ) ),
    inference(cnf,[status(esa)],[zf_stmt_1]) ).

thf(zip_derived_cl13,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( subset @ X0 @ X1 )
      | ~ ( in @ X0 @ X2 )
      | ( in @ ( sk__9 @ X1 @ X0 ) @ ( setunion @ X2 ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl2,zip_derived_cl4]) ).

thf(zip_derived_cl27,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( in @ ( sk__9 @ X2 @ X1 ) @ ( setunion @ ( setadjoin @ X1 @ X0 ) ) )
      | ( subset @ X1 @ X2 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl0,zip_derived_cl13]) ).

thf(zip_derived_cl46,plain,
    ! [X0: $i,X1: $i] :
      ( ( subset @ X1 @ ( setunion @ ( setadjoin @ X1 @ X0 ) ) )
      | ( subset @ X1 @ ( setunion @ ( setadjoin @ X1 @ X0 ) ) ) ),
    inference('sup+',[status(thm)],[zip_derived_cl1,zip_derived_cl27]) ).

thf(zip_derived_cl51,plain,
    ! [X0: $i,X1: $i] : ( subset @ X1 @ ( setunion @ ( setadjoin @ X1 @ X0 ) ) ),
    inference(simplify,[status(thm)],[zip_derived_cl46]) ).

thf(zip_derived_cl55,plain,
    $false,
    inference(demod,[status(thm)],[zip_derived_cl3,zip_derived_cl51]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.14  % Problem  : SEU635^2 : TPTP v9.2.0. Released v3.7.0.
% 0.07/0.15  % Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.uZMqrsYe0T true
% 0.13/0.36  % Computer : n008.cluster.edu
% 0.13/0.36  % Model    : x86_64 x86_64
% 0.13/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.36  % Memory   : 8042.1875MB
% 0.13/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.36  % CPULimit : 300
% 0.13/0.36  % WCLimit  : 300
% 0.13/0.36  % DateTime : Wed Oct  1 16:08:38 EDT 2025
% 0.13/0.36  % CPUTime  : 
% 0.13/0.36  % Running portfolio for 300 s
% 0.13/0.36  % File         : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.13/0.36  % Number of cores: 8
% 0.13/0.36  % Python version: Python 3.6.8
% 0.13/0.37  % Running in HO mode
% 0.53/0.67  % Total configuration time : 828
% 0.53/0.67  % Estimated wc time : 1656
% 0.53/0.67  % Estimated cpu time (8 cpus) : 207.0
% 0.54/0.74  % /export/starexec/sandbox2/solver/bin/lams/40_c.s.sh running for 80s
% 0.54/0.74  % /export/starexec/sandbox2/solver/bin/lams/35_full_unif4.sh running for 80s
% 0.54/0.74  % /export/starexec/sandbox2/solver/bin/lams/40_c_ic.sh running for 80s
% 0.54/0.75  % /export/starexec/sandbox2/solver/bin/lams/15_e_short1.sh running for 30s
% 0.54/0.75  % /export/starexec/sandbox2/solver/bin/lams/40_noforms.sh running for 90s
% 0.54/0.75  % /export/starexec/sandbox2/solver/bin/lams/40_b.comb.sh running for 70s
% 0.54/0.75  % /export/starexec/sandbox2/solver/bin/lams/20_acsne_simpl.sh running for 40s
% 0.54/0.75  % /export/starexec/sandbox2/solver/bin/lams/30_sp5.sh running for 60s
% 0.55/0.81  % Solved by lams/40_c_ic.sh.
% 0.55/0.81  % done 19 iterations in 0.033s
% 0.55/0.81  % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 0.55/0.81  % SZS output start Refutation
% See solution above
% 0.55/0.81  
% 0.55/0.81  
% 0.55/0.81  % Terminating...
% 2.03/0.87  % Runner terminated.
% 2.03/0.89  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------