TSTP Solution File: SEU623^2 by Zipperpin---2.1.9999

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : SEU623^2 : TPTP v8.1.2. Released v3.7.0.
% Transfm  : NO INFORMATION
% Format   : NO INFORMATION
% Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.09gQZi9pXE 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 Aug 31 19:14:49 EDT 2023

% Result   : Theorem 0.20s 0.75s
% Output   : Refutation 0.20s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    5
%            Number of leaves      :   23
% Syntax   : Number of formulae    :   33 (  14 unt;  13 typ;   0 def)
%            Number of atoms       :   71 (   8 equ;   0 cnn)
%            Maximal formula atoms :   10 (   3 avg)
%            Number of connectives :  200 (   8   ~;   4   |;   0   &; 157   @)
%                                         (   0 <=>;  31  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   14 (   5 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :    9 (   9   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   15 (  13 usr;   9 con; 0-2 aty)
%            Number of variables   :   55 (   0   ^;  55   !;   0   ?;  55   :)

% Comments : 
%------------------------------------------------------------------------------
thf(binunionLsub_type,type,
    binunionLsub: $o ).

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

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

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

thf(singletoninpowerset_type,type,
    singletoninpowerset: $o ).

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

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

thf(powersetsubset_type,type,
    powersetsubset: $o ).

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

thf(subsetE_type,type,
    subsetE: $o ).

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

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

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

thf(singletoninpowerset,axiom,
    ( singletoninpowerset
    = ( ! [A: $i,Xx: $i] :
          ( ( in @ Xx @ A )
         => ( in @ ( setadjoin @ Xx @ emptyset ) @ ( powerset @ A ) ) ) ) ) ).

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

thf(binunionLsub,axiom,
    ( binunionLsub
    = ( ! [A: $i,B: $i] : ( subset @ A @ ( binunion @ A @ B ) ) ) ) ).

thf('1',plain,
    ( binunionLsub
    = ( ! [X4: $i,X6: $i] : ( subset @ X4 @ ( binunion @ X4 @ X6 ) ) ) ),
    define([status(thm)]) ).

thf(powersetsubset,axiom,
    ( powersetsubset
    = ( ! [A: $i,B: $i] :
          ( ( subset @ A @ B )
         => ( subset @ ( powerset @ A ) @ ( powerset @ B ) ) ) ) ) ).

thf('2',plain,
    ( powersetsubset
    = ( ! [X4: $i,X6: $i] :
          ( ( subset @ X4 @ X6 )
         => ( subset @ ( powerset @ X4 ) @ ( powerset @ X6 ) ) ) ) ),
    define([status(thm)]) ).

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

thf('3',plain,
    ( subsetE
    = ( ! [X4: $i,X6: $i,X8: $i] :
          ( ( subset @ X4 @ X6 )
         => ( ( in @ X8 @ X4 )
           => ( in @ X8 @ X6 ) ) ) ) ),
    define([status(thm)]) ).

thf(singletoninpowunion,conjecture,
    ( subsetE
   => ( powersetsubset
     => ( binunionLsub
       => ( singletoninpowerset
         => ! [A: $i,B: $i,Xx: $i] :
              ( ( in @ Xx @ A )
             => ( in @ ( setadjoin @ Xx @ emptyset ) @ ( powerset @ ( binunion @ A @ B ) ) ) ) ) ) ) ) ).

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

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

thf(zip_derived_cl1,plain,
    ! [X3: $i,X4: $i] : ( subset @ X3 @ ( binunion @ X3 @ X4 ) ),
    inference(cnf,[status(esa)],[zf_stmt_1]) ).

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

thf(zip_derived_cl9,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ~ ( in @ X2 @ X1 )
      | ( in @ X2 @ ( binunion @ X1 @ X0 ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl1,zip_derived_cl0]) ).

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

thf(zip_derived_cl2,plain,
    ~ ( in @ ( setadjoin @ sk__11 @ emptyset ) @ ( powerset @ ( binunion @ sk__9 @ sk__10 ) ) ),
    inference(cnf,[status(esa)],[zf_stmt_1]) ).

thf(zip_derived_cl6,plain,
    ~ ( in @ sk__11 @ ( binunion @ sk__9 @ sk__10 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl4,zip_derived_cl2]) ).

thf(zip_derived_cl12,plain,
    ~ ( in @ sk__11 @ sk__9 ),
    inference('sup-',[status(thm)],[zip_derived_cl9,zip_derived_cl6]) ).

thf(zip_derived_cl3,plain,
    in @ sk__11 @ sk__9,
    inference(cnf,[status(esa)],[zf_stmt_1]) ).

thf(zip_derived_cl14,plain,
    $false,
    inference(demod,[status(thm)],[zip_derived_cl12,zip_derived_cl3]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem  : SEU623^2 : TPTP v8.1.2. Released v3.7.0.
% 0.00/0.13  % Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.09gQZi9pXE true
% 0.13/0.34  % Computer : n008.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34  % CPULimit : 300
% 0.13/0.34  % WCLimit  : 300
% 0.13/0.34  % DateTime : Wed Aug 23 15:07:33 EDT 2023
% 0.13/0.35  % CPUTime  : 
% 0.13/0.35  % Running portfolio for 300 s
% 0.13/0.35  % File         : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.13/0.35  % Number of cores: 8
% 0.13/0.35  % Python version: Python 3.6.8
% 0.13/0.35  % Running in HO mode
% 0.20/0.65  % Total configuration time : 828
% 0.20/0.65  % Estimated wc time : 1656
% 0.20/0.65  % Estimated cpu time (8 cpus) : 207.0
% 0.20/0.72  % /export/starexec/sandbox2/solver/bin/lams/40_c.s.sh running for 80s
% 0.20/0.72  % /export/starexec/sandbox2/solver/bin/lams/35_full_unif4.sh running for 80s
% 0.20/0.73  % /export/starexec/sandbox2/solver/bin/lams/40_c_ic.sh running for 80s
% 0.20/0.73  % /export/starexec/sandbox2/solver/bin/lams/15_e_short1.sh running for 30s
% 0.20/0.75  % /export/starexec/sandbox2/solver/bin/lams/40_b.comb.sh running for 70s
% 0.20/0.75  % /export/starexec/sandbox2/solver/bin/lams/40_noforms.sh running for 90s
% 0.20/0.75  % /export/starexec/sandbox2/solver/bin/lams/20_acsne_simpl.sh running for 40s
% 0.20/0.75  % Solved by lams/40_c.s.sh.
% 0.20/0.75  % done 8 iterations in 0.010s
% 0.20/0.75  % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 0.20/0.75  % SZS output start Refutation
% See solution above
% 0.20/0.75  
% 0.20/0.75  
% 0.20/0.75  % Terminating...
% 0.20/0.85  % Runner terminated.
% 0.20/0.86  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------