TSTP Solution File: SET076+1 by Zipperpin---2.1.9999

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : SET076+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.5OHGZI2Y3v true

% Computer : n023.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 16:12:28 EDT 2023

% Result   : Theorem 0.56s 0.84s
% Output   : Refutation 0.56s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    9
%            Number of leaves      :   11
% Syntax   : Number of formulae    :   29 (   8 unt;   8 typ;   0 def)
%            Number of atoms       :   42 (  11 equ;   0 cnn)
%            Maximal formula atoms :    4 (   2 avg)
%            Number of connectives :  148 (   9   ~;  13   |;   3   &; 118   @)
%                                         (   2 <=>;   3  =>;   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     :   10 (   8 usr;   5 con; 0-2 aty)
%            Number of variables   :   24 (   0   ^;  24   !;   0   ?;  24   :)

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

thf(sk__3_type,type,
    sk__3: $i ).

thf(sk__1_type,type,
    sk__1: $i ).

thf(sk__2_type,type,
    sk__2: $i ).

thf(subclass_type,type,
    subclass: $i > $i > $o ).

thf(sk__type,type,
    sk_: $i > $i > $i ).

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

thf(unordered_pair_type,type,
    unordered_pair: $i > $i > $i ).

thf(unordered_pair_is_subset,conjecture,
    ! [X: $i,Y: $i,Z: $i] :
      ( ( ( member @ X @ Z )
        & ( member @ Y @ Z ) )
     => ( subclass @ ( unordered_pair @ X @ Y ) @ Z ) ) ).

thf(zf_stmt_0,negated_conjecture,
    ~ ! [X: $i,Y: $i,Z: $i] :
        ( ( ( member @ X @ Z )
          & ( member @ Y @ Z ) )
       => ( subclass @ ( unordered_pair @ X @ Y ) @ Z ) ),
    inference('cnf.neg',[status(esa)],[unordered_pair_is_subset]) ).

thf(zip_derived_cl16,plain,
    ~ ( subclass @ ( unordered_pair @ sk__1 @ sk__2 ) @ sk__3 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(subclass_defn,axiom,
    ! [X: $i,Y: $i] :
      ( ( subclass @ X @ Y )
    <=> ! [U: $i] :
          ( ( member @ U @ X )
         => ( member @ U @ Y ) ) ) ).

thf(zip_derived_cl2,plain,
    ! [X0: $i,X1: $i] :
      ( ( subclass @ X0 @ X1 )
      | ( member @ ( sk_ @ X1 @ X0 ) @ X0 ) ),
    inference(cnf,[status(esa)],[subclass_defn]) ).

thf(unordered_pair_defn,axiom,
    ! [U: $i,X: $i,Y: $i] :
      ( ( member @ U @ ( unordered_pair @ X @ Y ) )
    <=> ( ( member @ U @ universal_class )
        & ( ( U = X )
          | ( U = Y ) ) ) ) ).

thf(zip_derived_cl8,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( X1 = X0 )
      | ( X1 = X2 )
      | ~ ( member @ X1 @ ( unordered_pair @ X2 @ X0 ) ) ),
    inference(cnf,[status(esa)],[unordered_pair_defn]) ).

thf(zip_derived_cl116,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( subclass @ ( unordered_pair @ X1 @ X0 ) @ X2 )
      | ( ( sk_ @ X2 @ ( unordered_pair @ X1 @ X0 ) )
        = X1 )
      | ( ( sk_ @ X2 @ ( unordered_pair @ X1 @ X0 ) )
        = X0 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl2,zip_derived_cl8]) ).

thf(zip_derived_cl16_001,plain,
    ~ ( subclass @ ( unordered_pair @ sk__1 @ sk__2 ) @ sk__3 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl695,plain,
    ( ( ( sk_ @ sk__3 @ ( unordered_pair @ sk__1 @ sk__2 ) )
      = sk__2 )
    | ( ( sk_ @ sk__3 @ ( unordered_pair @ sk__1 @ sk__2 ) )
      = sk__1 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl116,zip_derived_cl16]) ).

thf(zip_derived_cl1,plain,
    ! [X0: $i,X1: $i] :
      ( ( subclass @ X0 @ X1 )
      | ~ ( member @ ( sk_ @ X1 @ X0 ) @ X1 ) ),
    inference(cnf,[status(esa)],[subclass_defn]) ).

thf(zip_derived_cl704,plain,
    ( ~ ( member @ sk__1 @ sk__3 )
    | ( ( sk_ @ sk__3 @ ( unordered_pair @ sk__1 @ sk__2 ) )
      = sk__2 )
    | ( subclass @ ( unordered_pair @ sk__1 @ sk__2 ) @ sk__3 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl695,zip_derived_cl1]) ).

thf(zip_derived_cl14,plain,
    member @ sk__1 @ sk__3,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl713,plain,
    ( ( ( sk_ @ sk__3 @ ( unordered_pair @ sk__1 @ sk__2 ) )
      = sk__2 )
    | ( subclass @ ( unordered_pair @ sk__1 @ sk__2 ) @ sk__3 ) ),
    inference(demod,[status(thm)],[zip_derived_cl704,zip_derived_cl14]) ).

thf(zip_derived_cl16_002,plain,
    ~ ( subclass @ ( unordered_pair @ sk__1 @ sk__2 ) @ sk__3 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl732,plain,
    ( ( sk_ @ sk__3 @ ( unordered_pair @ sk__1 @ sk__2 ) )
    = sk__2 ),
    inference(clc,[status(thm)],[zip_derived_cl713,zip_derived_cl16]) ).

thf(zip_derived_cl1_003,plain,
    ! [X0: $i,X1: $i] :
      ( ( subclass @ X0 @ X1 )
      | ~ ( member @ ( sk_ @ X1 @ X0 ) @ X1 ) ),
    inference(cnf,[status(esa)],[subclass_defn]) ).

thf(zip_derived_cl733,plain,
    ( ~ ( member @ sk__2 @ sk__3 )
    | ( subclass @ ( unordered_pair @ sk__1 @ sk__2 ) @ sk__3 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl732,zip_derived_cl1]) ).

thf(zip_derived_cl15,plain,
    member @ sk__2 @ sk__3,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl741,plain,
    subclass @ ( unordered_pair @ sk__1 @ sk__2 ) @ sk__3,
    inference(demod,[status(thm)],[zip_derived_cl733,zip_derived_cl15]) ).

thf(zip_derived_cl744,plain,
    $false,
    inference(demod,[status(thm)],[zip_derived_cl16,zip_derived_cl741]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : SET076+1 : TPTP v8.1.2. Bugfixed v5.4.0.
% 0.07/0.13  % Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.5OHGZI2Y3v true
% 0.13/0.34  % Computer : n023.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 15:47:11 EDT 2023
% 0.13/0.34  % CPUTime  : 
% 0.13/0.34  % Running portfolio for 300 s
% 0.13/0.34  % File         : /export/starexec/sandbox2/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 FO mode
% 0.55/0.63  % Total configuration time : 435
% 0.55/0.63  % Estimated wc time : 1092
% 0.55/0.64  % Estimated cpu time (7 cpus) : 156.0
% 0.55/0.68  % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.55/0.72  % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.55/0.72  % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.55/0.72  % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.55/0.73  % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.55/0.73  % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.55/0.73  % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 0.56/0.84  % Solved by fo/fo4.sh.
% 0.56/0.84  % done 217 iterations in 0.092s
% 0.56/0.84  % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 0.56/0.84  % SZS output start Refutation
% See solution above
% 0.56/0.84  
% 0.56/0.84  
% 0.56/0.84  % Terminating...
% 1.51/0.97  % Runner terminated.
% 1.51/0.97  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------