TSTP Solution File: SET083+1 by Zipperpin---2.1.9999

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : SET083+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.JE2F7t4b85 true

% Computer : n021.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 16:12:32 EDT 2023

% Result   : Theorem 1.10s 0.95s
% Output   : Refutation 1.10s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    7
%            Number of leaves      :    9
% Syntax   : Number of formulae    :   25 (   8 unt;   6 typ;   0 def)
%            Number of atoms       :   37 (  20 equ;   0 cnn)
%            Maximal formula atoms :    4 (   1 avg)
%            Number of connectives :   88 (  11   ~;  12   |;   3   &;  59   @)
%                                         (   1 <=>;   2  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   10 (   5 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :    5 (   5   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :    8 (   6 usr;   4 con; 0-2 aty)
%            Number of variables   :   24 (   0   ^;  24   !;   0   ?;  24   :)

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

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

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

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

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

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

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_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_cl9,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( member @ X0 @ ( unordered_pair @ X1 @ X2 ) )
      | ( X0 != X2 )
      | ~ ( member @ X0 @ universal_class ) ),
    inference(cnf,[status(esa)],[unordered_pair_defn]) ).

thf(zip_derived_cl455,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( member @ X0 @ universal_class )
      | ( member @ X0 @ ( unordered_pair @ X1 @ X0 ) ) ),
    inference(eq_res,[status(thm)],[zip_derived_cl9]) ).

thf(zip_derived_cl520,plain,
    ! [X0: $i] :
      ( ~ ( member @ X0 @ universal_class )
      | ( member @ X0 @ ( singleton @ X0 ) ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl12,zip_derived_cl455]) ).

thf(singleton_identified_by_element1,conjecture,
    ! [X: $i,Y: $i] :
      ( ( ( ( singleton @ X )
          = ( singleton @ Y ) )
        & ( member @ X @ universal_class ) )
     => ( X = Y ) ) ).

thf(zf_stmt_0,negated_conjecture,
    ~ ! [X: $i,Y: $i] :
        ( ( ( ( singleton @ X )
            = ( singleton @ Y ) )
          & ( member @ X @ universal_class ) )
       => ( X = Y ) ),
    inference('cnf.neg',[status(esa)],[singleton_identified_by_element1]) ).

thf(zip_derived_cl90,plain,
    ( ( singleton @ sk__7 )
    = ( singleton @ sk__8 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl12_001,plain,
    ! [X0: $i] :
      ( ( singleton @ X0 )
      = ( unordered_pair @ X0 @ X0 ) ),
    inference(cnf,[status(esa)],[singleton_set_defn]) ).

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_cl448,plain,
    ! [X0: $i,X1: $i] :
      ( ( X1 = X0 )
      | ( X1 = X0 )
      | ~ ( member @ X1 @ ( singleton @ X0 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl12,zip_derived_cl8]) ).

thf(zip_derived_cl449,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( member @ X1 @ ( singleton @ X0 ) )
      | ( X1 = X0 ) ),
    inference(simplify,[status(thm)],[zip_derived_cl448]) ).

thf(zip_derived_cl452,plain,
    ! [X0: $i] :
      ( ~ ( member @ X0 @ ( singleton @ sk__7 ) )
      | ( X0 = sk__8 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl90,zip_derived_cl449]) ).

thf(zip_derived_cl526,plain,
    ( ~ ( member @ sk__7 @ universal_class )
    | ( sk__7 = sk__8 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl520,zip_derived_cl452]) ).

thf(zip_derived_cl91,plain,
    member @ sk__7 @ universal_class,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl528,plain,
    sk__7 = sk__8,
    inference(demod,[status(thm)],[zip_derived_cl526,zip_derived_cl91]) ).

thf(zip_derived_cl89,plain,
    sk__7 != sk__8,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl529,plain,
    $false,
    inference('simplify_reflect-',[status(thm)],[zip_derived_cl528,zip_derived_cl89]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.17  % Problem  : SET083+1 : TPTP v8.1.2. Bugfixed v5.4.0.
% 0.08/0.18  % Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.JE2F7t4b85 true
% 0.13/0.39  % Computer : n021.cluster.edu
% 0.13/0.39  % Model    : x86_64 x86_64
% 0.13/0.39  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.39  % Memory   : 8042.1875MB
% 0.13/0.39  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.39  % CPULimit : 300
% 0.13/0.39  % WCLimit  : 300
% 0.13/0.39  % DateTime : Sat Aug 26 09:00:57 EDT 2023
% 0.13/0.39  % CPUTime  : 
% 0.13/0.39  % Running portfolio for 300 s
% 0.13/0.39  % File         : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.13/0.40  % Number of cores: 8
% 0.13/0.40  % Python version: Python 3.6.8
% 0.13/0.40  % Running in FO mode
% 0.20/0.72  % Total configuration time : 435
% 0.20/0.72  % Estimated wc time : 1092
% 0.20/0.72  % Estimated cpu time (7 cpus) : 156.0
% 0.77/0.81  % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.77/0.85  % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 1.02/0.91  % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 1.02/0.91  % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 1.02/0.91  % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 1.02/0.92  % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 1.10/0.95  % Solved by fo/fo6_bce.sh.
% 1.10/0.95  % BCE start: 92
% 1.10/0.95  % BCE eliminated: 0
% 1.10/0.95  % PE start: 92
% 1.10/0.95  logic: eq
% 1.10/0.95  % PE eliminated: 5
% 1.10/0.95  % done 76 iterations in 0.043s
% 1.10/0.95  % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 1.10/0.95  % SZS output start Refutation
% See solution above
% 1.10/0.95  
% 1.10/0.95  
% 1.10/0.95  % Terminating...
% 1.26/1.10  % Runner terminated.
% 1.26/1.12  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------