TSTP Solution File: SET060+1 by Zipperpin---2.1.9999

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : SET060+1 : TPTP v8.1.2. Bugfixed v5.4.0.
% Transfm  : NO INFORMATION
% Format   : NO INFORMATION
% Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.suj7F9q51P true

% Computer : n015.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 16:12:15 EDT 2023

% Result   : Theorem 0.21s 0.72s
% Output   : Refutation 0.21s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    5
%            Number of leaves      :    9
% Syntax   : Number of formulae    :   19 (   8 unt;   6 typ;   0 def)
%            Number of atoms       :   20 (   0 equ;   0 cnn)
%            Maximal formula atoms :    3 (   1 avg)
%            Number of connectives :   75 (   9   ~;   3   |;   2   &;  59   @)
%                                         (   2 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    9 (   6 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :    5 (   5   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :    7 (   6 usr;   4 con; 0-2 aty)
%            Number of variables   :   17 (   0   ^;  17   !;   0   ?;  17   :)

% Comments : 
%------------------------------------------------------------------------------
thf(member_type,type,
    member: $i > $i > $o ).

thf(complement_type,type,
    complement: $i > $i ).

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

thf(intersection_type,type,
    intersection: $i > $i > $i ).

thf(universal_class_type,type,
    universal_class: $i ).

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

thf(special_classes_lemma,conjecture,
    ! [X: $i,Y: $i] :
      ~ ( member @ Y @ ( intersection @ ( complement @ X ) @ X ) ) ).

thf(zf_stmt_0,negated_conjecture,
    ~ ! [X: $i,Y: $i] :
        ~ ( member @ Y @ ( intersection @ ( complement @ X ) @ X ) ),
    inference('cnf.neg',[status(esa)],[special_classes_lemma]) ).

thf(zip_derived_cl89,plain,
    member @ sk__8 @ ( intersection @ ( complement @ sk__7 ) @ sk__7 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(intersection,axiom,
    ! [X: $i,Y: $i,Z: $i] :
      ( ( member @ Z @ ( intersection @ X @ Y ) )
    <=> ( ( member @ Z @ X )
        & ( member @ Z @ Y ) ) ) ).

thf(zip_derived_cl24,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( member @ X0 @ X1 )
      | ~ ( member @ X0 @ ( intersection @ X1 @ X2 ) ) ),
    inference(cnf,[status(esa)],[intersection]) ).

thf(zip_derived_cl456,plain,
    member @ sk__8 @ ( complement @ sk__7 ),
    inference('s_sup-',[status(thm)],[zip_derived_cl89,zip_derived_cl24]) ).

thf(complement,axiom,
    ! [X: $i,Z: $i] :
      ( ( member @ Z @ ( complement @ X ) )
    <=> ( ( member @ Z @ universal_class )
        & ~ ( member @ Z @ X ) ) ) ).

thf(zip_derived_cl28,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( member @ X0 @ X1 )
      | ~ ( member @ X0 @ ( complement @ X1 ) ) ),
    inference(cnf,[status(esa)],[complement]) ).

thf(zip_derived_cl469,plain,
    ~ ( member @ sk__8 @ sk__7 ),
    inference('s_sup-',[status(thm)],[zip_derived_cl456,zip_derived_cl28]) ).

thf(zip_derived_cl89_001,plain,
    member @ sk__8 @ ( intersection @ ( complement @ sk__7 ) @ sk__7 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl25,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( member @ X0 @ X1 )
      | ~ ( member @ X0 @ ( intersection @ X2 @ X1 ) ) ),
    inference(cnf,[status(esa)],[intersection]) ).

thf(zip_derived_cl460,plain,
    member @ sk__8 @ sk__7,
    inference('s_sup-',[status(thm)],[zip_derived_cl89,zip_derived_cl25]) ).

thf(zip_derived_cl470,plain,
    $false,
    inference(demod,[status(thm)],[zip_derived_cl469,zip_derived_cl460]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13  % Problem  : SET060+1 : TPTP v8.1.2. Bugfixed v5.4.0.
% 0.00/0.14  % Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.suj7F9q51P true
% 0.13/0.34  % Computer : n015.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 08:30:53 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 FO mode
% 0.21/0.62  % Total configuration time : 435
% 0.21/0.62  % Estimated wc time : 1092
% 0.21/0.62  % Estimated cpu time (7 cpus) : 156.0
% 0.21/0.67  % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.21/0.68  % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.21/0.72  % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.21/0.72  % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.21/0.72  % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.21/0.72  % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.21/0.72  % Solved by fo/fo6_bce.sh.
% 0.21/0.72  % BCE start: 90
% 0.21/0.72  % BCE eliminated: 0
% 0.21/0.72  % PE start: 90
% 0.21/0.72  logic: eq
% 0.21/0.72  % PE eliminated: 5
% 0.21/0.72  % done 41 iterations in 0.028s
% 0.21/0.72  % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 0.21/0.72  % SZS output start Refutation
% See solution above
% 0.21/0.72  
% 0.21/0.72  
% 0.21/0.73  % Terminating...
% 1.52/0.80  % Runner terminated.
% 1.52/0.81  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------