TSTP Solution File: SET658+3 by Zipperpin---2.1.9999

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : SET658+3 : TPTP v8.1.2. Released v2.2.0.
% Transfm  : NO INFORMATION
% Format   : NO INFORMATION
% Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.qhuvntYOnD true

% Computer : n027.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 16:15:22 EDT 2023

% Result   : Theorem 0.22s 0.79s
% Output   : Refutation 0.22s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    5
%            Number of leaves      :   12
% Syntax   : Number of formulae    :   24 (   8 unt;   8 typ;   0 def)
%            Number of atoms       :   29 (   0 equ;   0 cnn)
%            Maximal formula atoms :    4 (   1 avg)
%            Number of connectives :  107 (  10   ~;   7   |;   0   &;  84   @)
%                                         (   0 <=>;   6  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   10 (   6 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :    8 (   8   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :    9 (   8 usr;   4 con; 0-2 aty)
%            Number of variables   :   15 (   0   ^;  15   !;   0   ?;  15   :)

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

thf(binary_relation_type_type,type,
    binary_relation_type: $i ).

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

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

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

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

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

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

thf(p15,axiom,
    ! [B: $i] :
      ( ( ilf_type @ B @ set_type )
     => ( subset @ B @ B ) ) ).

thf(zip_derived_cl25,plain,
    ! [X0: $i] :
      ( ( subset @ X0 @ X0 )
      | ~ ( ilf_type @ X0 @ set_type ) ),
    inference(cnf,[status(esa)],[p15]) ).

thf(p28,axiom,
    ! [B: $i] : ( ilf_type @ B @ set_type ) ).

thf(zip_derived_cl50,plain,
    ! [X0: $i] : ( ilf_type @ X0 @ set_type ),
    inference(cnf,[status(esa)],[p28]) ).

thf(zip_derived_cl57,plain,
    ! [X0: $i] : ( subset @ X0 @ X0 ),
    inference(demod,[status(thm)],[zip_derived_cl25,zip_derived_cl50]) ).

thf(p1,axiom,
    ! [B: $i] :
      ( ( ilf_type @ B @ set_type )
     => ! [C: $i] :
          ( ( ilf_type @ C @ binary_relation_type )
         => ( ( subset @ ( domain_of @ C ) @ B )
           => ( ilf_type @ C @ ( relation_type @ B @ ( range_of @ C ) ) ) ) ) ) ).

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

thf(zip_derived_cl50_001,plain,
    ! [X0: $i] : ( ilf_type @ X0 @ set_type ),
    inference(cnf,[status(esa)],[p28]) ).

thf(zip_derived_cl54,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( ilf_type @ X0 @ binary_relation_type )
      | ( ilf_type @ X0 @ ( relation_type @ X1 @ ( range_of @ X0 ) ) )
      | ~ ( subset @ ( domain_of @ X0 ) @ X1 ) ),
    inference(demod,[status(thm)],[zip_derived_cl0,zip_derived_cl50]) ).

thf(zip_derived_cl58,plain,
    ! [X0: $i] :
      ( ~ ( ilf_type @ X0 @ binary_relation_type )
      | ( ilf_type @ X0 @ ( relation_type @ ( domain_of @ X0 ) @ ( range_of @ X0 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl57,zip_derived_cl54]) ).

thf(prove_relset_1_20,conjecture,
    ! [B: $i] :
      ( ( ilf_type @ B @ binary_relation_type )
     => ( ilf_type @ B @ ( relation_type @ ( domain_of @ B ) @ ( range_of @ B ) ) ) ) ).

thf(zf_stmt_0,negated_conjecture,
    ~ ! [B: $i] :
        ( ( ilf_type @ B @ binary_relation_type )
       => ( ilf_type @ B @ ( relation_type @ ( domain_of @ B ) @ ( range_of @ B ) ) ) ),
    inference('cnf.neg',[status(esa)],[prove_relset_1_20]) ).

thf(zip_derived_cl52,plain,
    ~ ( ilf_type @ sk__12 @ ( relation_type @ ( domain_of @ sk__12 ) @ ( range_of @ sk__12 ) ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl63,plain,
    ~ ( ilf_type @ sk__12 @ binary_relation_type ),
    inference('s_sup-',[status(thm)],[zip_derived_cl58,zip_derived_cl52]) ).

thf(zip_derived_cl51,plain,
    ilf_type @ sk__12 @ binary_relation_type,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl64,plain,
    $false,
    inference(demod,[status(thm)],[zip_derived_cl63,zip_derived_cl51]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13  % Problem  : SET658+3 : TPTP v8.1.2. Released v2.2.0.
% 0.00/0.14  % Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.qhuvntYOnD true
% 0.14/0.35  % Computer : n027.cluster.edu
% 0.14/0.35  % Model    : x86_64 x86_64
% 0.14/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35  % Memory   : 8042.1875MB
% 0.14/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35  % CPULimit : 300
% 0.14/0.35  % WCLimit  : 300
% 0.14/0.35  % DateTime : Sat Aug 26 09:34:35 EDT 2023
% 0.14/0.35  % CPUTime  : 
% 0.14/0.36  % Running portfolio for 300 s
% 0.14/0.36  % File         : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.14/0.36  % Number of cores: 8
% 0.22/0.36  % Python version: Python 3.6.8
% 0.22/0.36  % Running in FO mode
% 0.22/0.67  % Total configuration time : 435
% 0.22/0.67  % Estimated wc time : 1092
% 0.22/0.67  % Estimated cpu time (7 cpus) : 156.0
% 0.22/0.75  % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.22/0.75  % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.22/0.75  % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.22/0.79  % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.22/0.79  % Solved by fo/fo1_av.sh.
% 0.22/0.79  % done 13 iterations in 0.013s
% 0.22/0.79  % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 0.22/0.79  % SZS output start Refutation
% See solution above
% 0.22/0.79  
% 0.22/0.79  
% 0.22/0.80  % Terminating...
% 0.73/0.87  % Runner terminated.
% 0.73/0.88  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------