TSTP Solution File: SEU736^2 by Zipperpin---2.1.9999

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : SEU736^2 : TPTP v8.1.2. Released v3.7.0.
% Transfm  : NO INFORMATION
% Format   : NO INFORMATION
% Command  : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.fOMZ3SPwxb true

% Computer : n004.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 19:16:51 EDT 2023

% Result   : Theorem 1.26s 0.78s
% Output   : Refutation 1.26s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    6
%            Number of leaves      :   16
% Syntax   : Number of formulae    :   32 (  13 unt;  10 typ;   0 def)
%            Number of atoms       :   94 (   4 equ;   0 cnn)
%            Maximal formula atoms :   15 (   4 avg)
%            Number of connectives :  315 (  27   ~;  15   |;   0   &; 224   @)
%                                         (   0 <=>;  49  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   16 (   6 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :    7 (   7   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   12 (  10 usr;   7 con; 0-2 aty)
%            Number of variables   :   50 (   0   ^;  50   !;   0   ?;  50   :)

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

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

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

thf(contrasubsetT_type,type,
    contrasubsetT: $o ).

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

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

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

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

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

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

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

thf('0',plain,
    ( contrasubsetT
    = ( ! [X4: $i,X6: $i] :
          ( ( in @ X6 @ ( powerset @ X4 ) )
         => ! [X8: $i] :
              ( ( in @ X8 @ ( powerset @ X4 ) )
             => ! [X10: $i] :
                  ( ( in @ X10 @ X4 )
                 => ( ( subset @ X6 @ ( setminus @ X4 @ X8 ) )
                   => ( ( in @ X10 @ X8 )
                     => ~ ( in @ X10 @ 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('1',plain,
    ( setminusI
    = ( ! [X4: $i,X6: $i,X8: $i] :
          ( ( in @ X8 @ X4 )
         => ( ~ ( in @ X8 @ X6 )
           => ( in @ X8 @ ( setminus @ X4 @ X6 ) ) ) ) ) ),
    define([status(thm)]) ).

thf(contraSubsetComplement,conjecture,
    ( setminusI
   => ( contrasubsetT
     => ! [A: $i,X: $i] :
          ( ( in @ X @ ( powerset @ A ) )
         => ! [Y: $i] :
              ( ( in @ Y @ ( powerset @ A ) )
             => ( ( subset @ X @ ( setminus @ A @ Y ) )
               => ! [Xx: $i] :
                    ( ( in @ Xx @ A )
                   => ( ( in @ Xx @ Y )
                     => ( in @ Xx @ ( setminus @ A @ X ) ) ) ) ) ) ) ) ) ).

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] :
          ( ( in @ X12 @ ( powerset @ X10 ) )
         => ! [X14: $i] :
              ( ( in @ X14 @ ( powerset @ X10 ) )
             => ! [X16: $i] :
                  ( ( in @ X16 @ X10 )
                 => ( ( subset @ X12 @ ( setminus @ X10 @ X14 ) )
                   => ( ( in @ X16 @ X14 )
                     => ~ ( in @ X16 @ X12 ) ) ) ) ) )
     => ! [X18: $i,X20: $i] :
          ( ( in @ X20 @ ( powerset @ X18 ) )
         => ! [X22: $i] :
              ( ( in @ X22 @ ( powerset @ X18 ) )
             => ( ( subset @ X20 @ ( setminus @ X18 @ X22 ) )
               => ! [X24: $i] :
                    ( ( in @ X24 @ X18 )
                   => ( ( in @ X24 @ X22 )
                     => ( in @ X24 @ ( setminus @ X18 @ X20 ) ) ) ) ) ) ) ) ) ).

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] :
            ( ( in @ X12 @ ( powerset @ X10 ) )
           => ! [X14: $i] :
                ( ( in @ X14 @ ( powerset @ X10 ) )
               => ! [X16: $i] :
                    ( ( in @ X16 @ X10 )
                   => ( ( subset @ X12 @ ( setminus @ X10 @ X14 ) )
                     => ( ( in @ X16 @ X14 )
                       => ~ ( in @ X16 @ X12 ) ) ) ) ) )
       => ! [X18: $i,X20: $i] :
            ( ( in @ X20 @ ( powerset @ X18 ) )
           => ! [X22: $i] :
                ( ( in @ X22 @ ( powerset @ X18 ) )
               => ( ( subset @ X20 @ ( setminus @ X18 @ X22 ) )
                 => ! [X24: $i] :
                      ( ( in @ X24 @ X18 )
                     => ( ( in @ X24 @ X22 )
                       => ( in @ X24 @ ( setminus @ X18 @ X20 ) ) ) ) ) ) ) ) ),
    inference('cnf.neg',[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl4,plain,
    in @ sk__10 @ sk__7,
    inference(cnf,[status(esa)],[zf_stmt_1]) ).

thf(zip_derived_cl5,plain,
    subset @ sk__8 @ ( setminus @ sk__7 @ sk__9 ),
    inference(cnf,[status(esa)],[zf_stmt_1]) ).

thf(zip_derived_cl7,plain,
    ! [X3: $i,X4: $i,X5: $i,X6: $i] :
      ( ~ ( in @ X3 @ ( powerset @ X4 ) )
      | ~ ( subset @ X5 @ ( setminus @ X4 @ X3 ) )
      | ~ ( in @ X6 @ X5 )
      | ~ ( in @ X6 @ X3 )
      | ~ ( in @ X6 @ X4 )
      | ~ ( in @ X5 @ ( powerset @ X4 ) ) ),
    inference(cnf,[status(esa)],[zf_stmt_1]) ).

thf(zip_derived_cl24,plain,
    ! [X0: $i] :
      ( ~ ( in @ sk__8 @ ( powerset @ sk__7 ) )
      | ~ ( in @ X0 @ sk__7 )
      | ~ ( in @ X0 @ sk__9 )
      | ~ ( in @ X0 @ sk__8 )
      | ~ ( in @ sk__9 @ ( powerset @ sk__7 ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl5,zip_derived_cl7]) ).

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

thf(zip_derived_cl1,plain,
    in @ sk__9 @ ( powerset @ sk__7 ),
    inference(cnf,[status(esa)],[zf_stmt_1]) ).

thf(zip_derived_cl26,plain,
    ! [X0: $i] :
      ( ~ ( in @ X0 @ sk__7 )
      | ~ ( in @ X0 @ sk__9 )
      | ~ ( in @ X0 @ sk__8 ) ),
    inference(demod,[status(thm)],[zip_derived_cl24,zip_derived_cl6,zip_derived_cl1]) ).

thf(zip_derived_cl28,plain,
    ( ~ ( in @ sk__10 @ sk__8 )
    | ~ ( in @ sk__10 @ sk__9 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl4,zip_derived_cl26]) ).

thf(zip_derived_cl4_001,plain,
    in @ sk__10 @ sk__7,
    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_cl9,plain,
    ! [X0: $i] :
      ( ( in @ sk__10 @ ( setminus @ sk__7 @ X0 ) )
      | ( in @ sk__10 @ X0 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl4,zip_derived_cl0]) ).

thf(zip_derived_cl3,plain,
    ~ ( in @ sk__10 @ ( setminus @ sk__7 @ sk__8 ) ),
    inference(cnf,[status(esa)],[zf_stmt_1]) ).

thf(zip_derived_cl18,plain,
    in @ sk__10 @ sk__8,
    inference('sup-',[status(thm)],[zip_derived_cl9,zip_derived_cl3]) ).

thf(zip_derived_cl2,plain,
    in @ sk__10 @ sk__9,
    inference(cnf,[status(esa)],[zf_stmt_1]) ).

thf(zip_derived_cl30,plain,
    $false,
    inference(demod,[status(thm)],[zip_derived_cl28,zip_derived_cl18,zip_derived_cl2]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12  % Problem  : SEU736^2 : TPTP v8.1.2. Released v3.7.0.
% 0.11/0.13  % Command  : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.fOMZ3SPwxb true
% 0.13/0.34  % Computer : n004.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 20:01:23 EDT 2023
% 0.13/0.34  % CPUTime  : 
% 0.13/0.34  % Running portfolio for 300 s
% 0.13/0.34  % File         : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.13/0.34  % Number of cores: 8
% 0.13/0.34  % Python version: Python 3.6.8
% 0.13/0.35  % Running in HO mode
% 0.21/0.62  % Total configuration time : 828
% 0.21/0.62  % Estimated wc time : 1656
% 0.21/0.62  % Estimated cpu time (8 cpus) : 207.0
% 0.21/0.74  % /export/starexec/sandbox/solver/bin/lams/40_c.s.sh running for 80s
% 0.21/0.74  % /export/starexec/sandbox/solver/bin/lams/40_c_ic.sh running for 80s
% 0.21/0.74  % /export/starexec/sandbox/solver/bin/lams/35_full_unif4.sh running for 80s
% 0.21/0.74  % /export/starexec/sandbox/solver/bin/lams/15_e_short1.sh running for 30s
% 0.21/0.74  % /export/starexec/sandbox/solver/bin/lams/40_b.comb.sh running for 70s
% 0.21/0.74  % /export/starexec/sandbox/solver/bin/lams/40_noforms.sh running for 90s
% 1.26/0.77  % /export/starexec/sandbox/solver/bin/lams/20_acsne_simpl.sh running for 40s
% 1.26/0.77  % /export/starexec/sandbox/solver/bin/lams/30_sp5.sh running for 60s
% 1.26/0.78  % Solved by lams/40_c.s.sh.
% 1.26/0.78  % done 14 iterations in 0.013s
% 1.26/0.78  % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 1.26/0.78  % SZS output start Refutation
% See solution above
% 1.26/0.78  
% 1.26/0.78  
% 1.26/0.78  % Terminating...
% 1.26/0.84  % Runner terminated.
% 1.26/0.85  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------