TSTP Solution File: SET654+3 by Zipperpin---2.1.9999

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : SET654+3 : TPTP v8.1.2. Released v2.2.0.
% Transfm  : NO INFORMATION
% Format   : NO INFORMATION
% Command  : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.sYLySDJ7JT true

% Computer : n007.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 16:15:21 EDT 2023

% Result   : Theorem 0.20s 0.75s
% Output   : Refutation 0.20s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    8
%            Number of leaves      :   15
% Syntax   : Number of formulae    :   40 (  16 unt;  10 typ;   0 def)
%            Number of atoms       :   76 (   0 equ;   0 cnn)
%            Maximal formula atoms :    6 (   2 avg)
%            Number of connectives :  271 (  24   ~;  22   |;   2   &; 201   @)
%                                         (   0 <=>;  22  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   14 (   7 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :    8 (   8   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   11 (  10 usr;   6 con; 0-2 aty)
%            Number of variables   :   53 (   0   ^;  53   !;   0   ?;  53   :)

% Comments : 
%------------------------------------------------------------------------------
thf(sk__12_type,type,
    sk__12: $i ).

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

thf(set_type_type,type,
    set_type: $i ).

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

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

thf(domain_of_type,type,
    domain_of: $i > $i ).

thf(ilf_type_type,type,
    ilf_type: $i > $i > $o ).

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

thf(relation_type_type,type,
    relation_type: $i > $i > $i ).

thf(range_of_type,type,
    range_of: $i > $i ).

thf(prove_relset_1_16,conjecture,
    ! [B: $i] :
      ( ( ilf_type @ B @ set_type )
     => ! [C: $i] :
          ( ( ilf_type @ C @ set_type )
         => ! [D: $i] :
              ( ( ilf_type @ D @ set_type )
             => ! [E: $i] :
                  ( ( ilf_type @ E @ ( relation_type @ D @ B ) )
                 => ( ( subset @ B @ C )
                   => ( ilf_type @ E @ ( relation_type @ D @ C ) ) ) ) ) ) ) ).

thf(zf_stmt_0,negated_conjecture,
    ~ ! [B: $i] :
        ( ( ilf_type @ B @ set_type )
       => ! [C: $i] :
            ( ( ilf_type @ C @ set_type )
           => ! [D: $i] :
                ( ( ilf_type @ D @ set_type )
               => ! [E: $i] :
                    ( ( ilf_type @ E @ ( relation_type @ D @ B ) )
                   => ( ( subset @ B @ C )
                     => ( ilf_type @ E @ ( relation_type @ D @ C ) ) ) ) ) ) ),
    inference('cnf.neg',[status(esa)],[prove_relset_1_16]) ).

thf(zip_derived_cl43,plain,
    ~ ( ilf_type @ sk__12 @ ( relation_type @ sk__11 @ sk__10 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl44,plain,
    ilf_type @ sk__12 @ ( relation_type @ sk__11 @ sk__9 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl42,plain,
    subset @ sk__9 @ sk__10,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl44_001,plain,
    ilf_type @ sk__12 @ ( relation_type @ sk__11 @ sk__9 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(p2,axiom,
    ! [B: $i] :
      ( ( ilf_type @ B @ set_type )
     => ! [C: $i] :
          ( ( ilf_type @ C @ set_type )
         => ! [D: $i] :
              ( ( ilf_type @ D @ ( relation_type @ B @ C ) )
             => ( ( subset @ ( domain_of @ D ) @ B )
                & ( subset @ ( range_of @ D ) @ C ) ) ) ) ) ).

thf(zip_derived_cl1,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ~ ( ilf_type @ X0 @ set_type )
      | ( subset @ ( range_of @ X1 ) @ X0 )
      | ~ ( ilf_type @ X1 @ ( relation_type @ X2 @ X0 ) )
      | ~ ( ilf_type @ X2 @ set_type ) ),
    inference(cnf,[status(esa)],[p2]) ).

thf(p22,axiom,
    ! [B: $i] : ( ilf_type @ B @ set_type ) ).

thf(zip_derived_cl39,plain,
    ! [X0: $i] : ( ilf_type @ X0 @ set_type ),
    inference(cnf,[status(esa)],[p22]) ).

thf(zip_derived_cl39_002,plain,
    ! [X0: $i] : ( ilf_type @ X0 @ set_type ),
    inference(cnf,[status(esa)],[p22]) ).

thf(zip_derived_cl388,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( subset @ ( range_of @ X1 ) @ X0 )
      | ~ ( ilf_type @ X1 @ ( relation_type @ X2 @ X0 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl1,zip_derived_cl39,zip_derived_cl39]) ).

thf(zip_derived_cl392,plain,
    subset @ ( range_of @ sk__12 ) @ sk__9,
    inference('s_sup-',[status(thm)],[zip_derived_cl44,zip_derived_cl388]) ).

thf(p1,axiom,
    ! [B: $i] :
      ( ( ilf_type @ B @ set_type )
     => ! [C: $i] :
          ( ( ilf_type @ C @ set_type )
         => ! [D: $i] :
              ( ( ilf_type @ D @ set_type )
             => ( ( ( subset @ B @ C )
                  & ( subset @ C @ D ) )
               => ( subset @ B @ D ) ) ) ) ) ).

thf(zip_derived_cl0,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ~ ( ilf_type @ X0 @ set_type )
      | ~ ( subset @ X1 @ X0 )
      | ~ ( subset @ X0 @ X2 )
      | ( subset @ X1 @ X2 )
      | ~ ( ilf_type @ X2 @ set_type )
      | ~ ( ilf_type @ X1 @ set_type ) ),
    inference(cnf,[status(esa)],[p1]) ).

thf(zip_derived_cl39_003,plain,
    ! [X0: $i] : ( ilf_type @ X0 @ set_type ),
    inference(cnf,[status(esa)],[p22]) ).

thf(zip_derived_cl39_004,plain,
    ! [X0: $i] : ( ilf_type @ X0 @ set_type ),
    inference(cnf,[status(esa)],[p22]) ).

thf(zip_derived_cl39_005,plain,
    ! [X0: $i] : ( ilf_type @ X0 @ set_type ),
    inference(cnf,[status(esa)],[p22]) ).

thf(zip_derived_cl385,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ~ ( subset @ X1 @ X0 )
      | ~ ( subset @ X0 @ X2 )
      | ( subset @ X1 @ X2 ) ),
    inference(demod,[status(thm)],[zip_derived_cl0,zip_derived_cl39,zip_derived_cl39,zip_derived_cl39]) ).

thf(zip_derived_cl397,plain,
    ! [X0: $i] :
      ( ~ ( subset @ sk__9 @ X0 )
      | ( subset @ ( range_of @ sk__12 ) @ X0 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl392,zip_derived_cl385]) ).

thf(p3,axiom,
    ! [B: $i] :
      ( ( ilf_type @ B @ set_type )
     => ! [C: $i] :
          ( ( ilf_type @ C @ set_type )
         => ! [D: $i] :
              ( ( ilf_type @ D @ set_type )
             => ! [E: $i] :
                  ( ( ilf_type @ E @ ( relation_type @ D @ B ) )
                 => ( ( subset @ ( range_of @ E ) @ C )
                   => ( ilf_type @ E @ ( relation_type @ D @ C ) ) ) ) ) ) ) ).

thf(zip_derived_cl3,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( ~ ( ilf_type @ X0 @ set_type )
      | ~ ( ilf_type @ X1 @ ( relation_type @ X2 @ X3 ) )
      | ( ilf_type @ X1 @ ( relation_type @ X2 @ X0 ) )
      | ~ ( subset @ ( range_of @ X1 ) @ X0 )
      | ~ ( ilf_type @ X2 @ set_type )
      | ~ ( ilf_type @ X3 @ set_type ) ),
    inference(cnf,[status(esa)],[p3]) ).

thf(zip_derived_cl39_006,plain,
    ! [X0: $i] : ( ilf_type @ X0 @ set_type ),
    inference(cnf,[status(esa)],[p22]) ).

thf(zip_derived_cl39_007,plain,
    ! [X0: $i] : ( ilf_type @ X0 @ set_type ),
    inference(cnf,[status(esa)],[p22]) ).

thf(zip_derived_cl39_008,plain,
    ! [X0: $i] : ( ilf_type @ X0 @ set_type ),
    inference(cnf,[status(esa)],[p22]) ).

thf(zip_derived_cl398,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( ~ ( ilf_type @ X1 @ ( relation_type @ X2 @ X3 ) )
      | ( ilf_type @ X1 @ ( relation_type @ X2 @ X0 ) )
      | ~ ( subset @ ( range_of @ X1 ) @ X0 ) ),
    inference(demod,[status(thm)],[zip_derived_cl3,zip_derived_cl39,zip_derived_cl39,zip_derived_cl39]) ).

thf(zip_derived_cl422,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ~ ( subset @ sk__9 @ X0 )
      | ~ ( ilf_type @ sk__12 @ ( relation_type @ X2 @ X1 ) )
      | ( ilf_type @ sk__12 @ ( relation_type @ X2 @ X0 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl397,zip_derived_cl398]) ).

thf(zip_derived_cl463,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( ilf_type @ sk__12 @ ( relation_type @ X1 @ X0 ) )
      | ( ilf_type @ sk__12 @ ( relation_type @ X1 @ sk__10 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl42,zip_derived_cl422]) ).

thf(zip_derived_cl469,plain,
    ilf_type @ sk__12 @ ( relation_type @ sk__11 @ sk__10 ),
    inference('s_sup-',[status(thm)],[zip_derived_cl44,zip_derived_cl463]) ).

thf(zip_derived_cl472,plain,
    $false,
    inference(demod,[status(thm)],[zip_derived_cl43,zip_derived_cl469]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : SET654+3 : TPTP v8.1.2. Released v2.2.0.
% 0.07/0.13  % Command  : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.sYLySDJ7JT true
% 0.13/0.34  % Computer : n007.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 : Sat Aug 26 08:03:26 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
% 0.13/0.35  % Python version: Python 3.6.8
% 0.13/0.35  % Running in FO mode
% 0.20/0.63  % Total configuration time : 435
% 0.20/0.63  % Estimated wc time : 1092
% 0.20/0.63  % Estimated cpu time (7 cpus) : 156.0
% 0.20/0.70  % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.20/0.73  % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.20/0.75  % Solved by fo/fo6_bce.sh.
% 0.20/0.75  % BCE start: 46
% 0.20/0.75  % BCE eliminated: 0
% 0.20/0.75  % PE start: 46
% 0.20/0.75  logic: eq
% 0.20/0.75  % PE eliminated: 0
% 0.20/0.75  % done 60 iterations in 0.035s
% 0.20/0.75  % SZS status Theorem for '/export/starexec/sandbox/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  % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.20/0.75  % Terminating...
% 1.66/0.84  % Runner terminated.
% 1.66/0.85  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------