TSTP Solution File: SET074+1 by Zipperpin---2.1.9999

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : SET074+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.jg7Bmvtm5Y true

% Computer : n024.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 16:12:26 EDT 2023

% Result   : Theorem 0.53s 0.74s
% Output   : Refutation 0.53s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    5
%            Number of leaves      :    9
% Syntax   : Number of formulae    :   18 (   6 unt;   6 typ;   0 def)
%            Number of atoms       :   21 (   6 equ;   0 cnn)
%            Maximal formula atoms :    4 (   1 avg)
%            Number of connectives :   58 (   9   ~;   5   |;   1   &;  40   @)
%                                         (   1 <=>;   2  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    9 (   5 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :    4 (   4   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :    8 (   6 usr;   5 con; 0-2 aty)
%            Number of variables   :   14 (   0   ^;  14   !;   0   ?;  14   :)

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

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

thf(null_class_type,type,
    null_class: $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(corollary1_2,conjecture,
    ! [X: $i,Y: $i] :
      ( ( member @ Y @ universal_class )
     => ( ( unordered_pair @ X @ Y )
       != null_class ) ) ).

thf(zf_stmt_0,negated_conjecture,
    ~ ! [X: $i,Y: $i] :
        ( ( member @ Y @ universal_class )
       => ( ( unordered_pair @ X @ Y )
         != null_class ) ),
    inference('cnf.neg',[status(esa)],[corollary1_2]) ).

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

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_cl457,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_cl467,plain,
    ( ~ ( member @ sk__8 @ universal_class )
    | ( member @ sk__8 @ null_class ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl90,zip_derived_cl457]) ).

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

thf(zip_derived_cl468,plain,
    member @ sk__8 @ null_class,
    inference(demod,[status(thm)],[zip_derived_cl467,zip_derived_cl89]) ).

thf(null_class_defn,axiom,
    ! [X: $i] :
      ~ ( member @ X @ null_class ) ).

thf(zip_derived_cl31,plain,
    ! [X0: $i] :
      ~ ( member @ X0 @ null_class ),
    inference(cnf,[status(esa)],[null_class_defn]) ).

thf(zip_derived_cl470,plain,
    $false,
    inference('s_sup-',[status(thm)],[zip_derived_cl468,zip_derived_cl31]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : SET074+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.jg7Bmvtm5Y true
% 0.13/0.34  % Computer : n024.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 09:10:39 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
% 0.46/0.65  % Total configuration time : 435
% 0.46/0.65  % Estimated wc time : 1092
% 0.46/0.65  % Estimated cpu time (7 cpus) : 156.0
% 0.53/0.70  % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.53/0.71  % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.53/0.72  % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.53/0.74  % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.53/0.74  % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.53/0.74  % Solved by fo/fo6_bce.sh.
% 0.53/0.74  % BCE start: 91
% 0.53/0.74  % BCE eliminated: 0
% 0.53/0.74  % PE start: 91
% 0.53/0.74  logic: eq
% 0.53/0.74  % PE eliminated: 5
% 0.53/0.74  % done 38 iterations in 0.027s
% 0.53/0.74  % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 0.53/0.74  % SZS output start Refutation
% See solution above
% 0.53/0.74  
% 0.53/0.74  
% 0.53/0.75  % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.53/0.75  % Terminating...
% 1.50/0.85  % Runner terminated.
% 1.50/0.86  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------