TSTP Solution File: SET077+1 by Zipperpin---2.1.9999

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : SET077+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.GgsvC6ZX8i 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 16:12:28 EDT 2023

% Result   : Theorem 0.21s 0.74s
% Output   : Refutation 0.21s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    3
%            Number of leaves      :    8
% Syntax   : Number of formulae    :   14 (   9 unt;   5 typ;   0 def)
%            Number of atoms       :    9 (   2 equ;   0 cnn)
%            Maximal formula atoms :    1 (   1 avg)
%            Number of connectives :   28 (   2   ~;   0   |;   0   &;  26   @)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    7 (   4 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :    5 (   5   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :    7 (   5 usr;   3 con; 0-2 aty)
%            Number of variables   :    9 (   0   ^;   9   !;   0   ?;   9   :)

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

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

thf(singleton_type,type,
    singleton: $i > $i ).

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

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

thf(singletons_are_sets,conjecture,
    ! [X: $i] : ( member @ ( singleton @ X ) @ universal_class ) ).

thf(zf_stmt_0,negated_conjecture,
    ~ ! [X: $i] : ( member @ ( singleton @ X ) @ universal_class ),
    inference('cnf.neg',[status(esa)],[singletons_are_sets]) ).

thf(zip_derived_cl89,plain,
    ~ ( member @ ( singleton @ sk__7 ) @ universal_class ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(singleton_set_defn,axiom,
    ! [X: $i] :
      ( ( singleton @ X )
      = ( unordered_pair @ X @ X ) ) ).

thf(zip_derived_cl12,plain,
    ! [X0: $i] :
      ( ( singleton @ X0 )
      = ( unordered_pair @ X0 @ X0 ) ),
    inference(cnf,[status(esa)],[singleton_set_defn]) ).

thf(unordered_pair,axiom,
    ! [X: $i,Y: $i] : ( member @ ( unordered_pair @ X @ Y ) @ universal_class ) ).

thf(zip_derived_cl11,plain,
    ! [X0: $i,X1: $i] : ( member @ ( unordered_pair @ X0 @ X1 ) @ universal_class ),
    inference(cnf,[status(esa)],[unordered_pair]) ).

thf(zip_derived_cl458,plain,
    ! [X0: $i] : ( member @ ( singleton @ X0 ) @ universal_class ),
    inference('s_sup+',[status(thm)],[zip_derived_cl12,zip_derived_cl11]) ).

thf(zip_derived_cl459,plain,
    $false,
    inference(demod,[status(thm)],[zip_derived_cl89,zip_derived_cl458]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem  : SET077+1 : TPTP v8.1.2. Bugfixed v5.4.0.
% 0.00/0.13  % Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.GgsvC6ZX8i true
% 0.13/0.35  % Computer : n015.cluster.edu
% 0.13/0.35  % Model    : x86_64 x86_64
% 0.13/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35  % Memory   : 8042.1875MB
% 0.13/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35  % CPULimit : 300
% 0.13/0.35  % WCLimit  : 300
% 0.13/0.35  % DateTime : Sat Aug 26 14:52:38 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
% 0.21/0.35  % Python version: Python 3.6.8
% 0.21/0.35  % Running in FO mode
% 0.21/0.64  % Total configuration time : 435
% 0.21/0.64  % Estimated wc time : 1092
% 0.21/0.64  % Estimated cpu time (7 cpus) : 156.0
% 0.21/0.70  % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.21/0.70  % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.21/0.73  % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.21/0.74  % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.21/0.74  % Solved by fo/fo6_bce.sh.
% 0.21/0.74  % BCE start: 90
% 0.21/0.74  % BCE eliminated: 0
% 0.21/0.74  % PE start: 90
% 0.21/0.74  logic: eq
% 0.21/0.74  % PE eliminated: 5
% 0.21/0.74  % done 37 iterations in 0.026s
% 0.21/0.74  % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 0.21/0.74  % SZS output start Refutation
% See solution above
% 0.21/0.74  
% 0.21/0.74  
% 0.21/0.74  % Terminating...
% 1.41/0.85  % Runner terminated.
% 1.54/0.87  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------