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Zipperpin---2.1.9999.THM-Ref.s

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%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : SET117+1 : TPTP v9.2.0. Bugfixed v5.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.OyqhLBPsJY true

% Computer : n003.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 Oct  2 04:51:38 PM UTC 2025

% Result   : Theorem 0.47s 0.76s
% Output   : Refutation 0.47s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    4
%            Number of leaves      :    3
% Syntax   : Number of formulae    :   11 (   9 unt;   0 typ;   0 def)
%            Number of atoms       :   13 (   5 equ;   0 cnn)
%            Maximal formula atoms :    2 (   1 avg)
%            Number of connectives :   52 (   2   ~;   0   |;   0   &;  48   @)
%                                         (   0 <=>;   2  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    7 (   4 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :    0 (   0   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   10 (   8 usr;   3 con; 0-2 aty)
%            Number of variables   :   12 (   0   ^;  12   !;   0   ?;  12   :)

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

thf(ordered_pair_type,type,
    ordered_pair: $i > $i > $i ).

thf(second_type,type,
    second: $i > $i ).

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

thf(first_type,type,
    first: $i > $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(corollary_1_to_ordered_pairs_are_sets,conjecture,
    ! [X: $i] :
      ( ( ( ordered_pair @ ( first @ X ) @ ( second @ X ) )
        = X )
     => ( member @ X @ universal_class ) ) ).

thf(zf_stmt_0,negated_conjecture,
    ~ ! [X: $i] :
        ( ( ( ordered_pair @ ( first @ X ) @ ( second @ X ) )
          = X )
       => ( member @ X @ universal_class ) ),
    inference('cnf.neg',[status(esa)],[corollary_1_to_ordered_pairs_are_sets]) ).

thf(zip_derived_cl90,plain,
    ~ ( member @ sk__7 @ universal_class ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl89,plain,
    ( ( ordered_pair @ ( first @ sk__7 ) @ ( second @ sk__7 ) )
    = sk__7 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

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

thf(zip_derived_cl13,plain,
    ! [X0: $i,X1: $i] :
      ( ( ordered_pair @ X0 @ X1 )
      = ( unordered_pair @ ( singleton @ X0 ) @ ( unordered_pair @ X0 @ ( singleton @ X1 ) ) ) ),
    inference(cnf,[status(esa)],[ordered_pair_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_cl463,plain,
    ! [X0: $i,X1: $i] : ( member @ ( ordered_pair @ X1 @ X0 ) @ universal_class ),
    inference('s_sup+',[status(thm)],[zip_derived_cl13,zip_derived_cl11]) ).

thf(zip_derived_cl466,plain,
    member @ sk__7 @ universal_class,
    inference('s_sup+',[status(thm)],[zip_derived_cl89,zip_derived_cl463]) ).

thf(zip_derived_cl467,plain,
    $false,
    inference(demod,[status(thm)],[zip_derived_cl90,zip_derived_cl466]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.02/0.10  % Problem  : SET117+1 : TPTP v9.2.0. Bugfixed v5.4.0.
% 0.02/0.10  % Command  : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.OyqhLBPsJY true
% 0.10/0.31  % Computer : n003.cluster.edu
% 0.10/0.31  % Model    : x86_64 x86_64
% 0.10/0.31  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.31  % Memory   : 8042.1875MB
% 0.10/0.31  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.10/0.31  % CPULimit : 300
% 0.10/0.31  % WCLimit  : 300
% 0.10/0.31  % DateTime : Wed Oct  1 13:11:53 EDT 2025
% 0.10/0.31  % CPUTime  : 
% 0.10/0.31  % Running portfolio for 300 s
% 0.10/0.31  % File         : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.10/0.31  % Number of cores: 8
% 0.16/0.31  % Python version: Python 3.6.8
% 0.16/0.31  % Running in FO mode
% 0.46/0.60  % Total configuration time : 435
% 0.46/0.60  % Estimated wc time : 1092
% 0.46/0.60  % Estimated cpu time (7 cpus) : 156.0
% 0.46/0.67  % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.46/0.67  % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.46/0.68  % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.46/0.68  % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.46/0.68  % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.46/0.69  % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 0.46/0.69  % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 0.47/0.76  % Solved by fo/fo6_bce.sh.
% 0.47/0.76  % BCE start: 91
% 0.47/0.76  % BCE eliminated: 0
% 0.47/0.76  % PE start: 91
% 0.47/0.76  logic: eq
% 0.47/0.76  % PE eliminated: 5
% 0.47/0.76  % done 41 iterations in 0.046s
% 0.47/0.76  % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 0.47/0.76  % SZS output start Refutation
% See solution above
% 0.47/0.76  
% 0.47/0.76  
% 0.47/0.76  % Terminating...
% 0.48/0.82  % Runner terminated.
% 0.48/0.82  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------