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Zipperpin---2.1.9999.THM-Ref.s

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%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : SET108+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.8TioG4NLdx true

% Computer : n014.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 04:51:36 PM UTC 2025

% Result   : Theorem 0.53s 0.83s
% Output   : Refutation 0.53s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    7
%            Number of leaves      :    1
% Syntax   : Number of formulae    :   15 (   5 unt;   0 typ;   0 def)
%            Number of atoms       :   42 (  23 equ;   0 cnn)
%            Maximal formula atoms :    8 (   2 avg)
%            Number of connectives :   98 (  19   ~;  15   |;  12   &;  52   @)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   15 (   6 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :    0 (   0   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :    8 (   6 usr;   5 con; 0-2 aty)
%            Number of variables   :   21 (   0   ^;  13   !;   8   ?;  21   :)

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

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

thf(sk__9_type,type,
    sk__9: $i ).

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

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

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

thf(existence_of_first_and_second,conjecture,
    ! [X: $i] :
    ? [U: $i,V: $i] :
      ( ( ( V = X )
        & ( U = X )
        & ~ ? [Y: $i,Z: $i] :
              ( ( X
                = ( ordered_pair @ Y @ Z ) )
              & ( member @ Z @ universal_class )
              & ( member @ Y @ universal_class ) ) )
      | ( ( X
          = ( ordered_pair @ U @ V ) )
        & ( member @ V @ universal_class )
        & ( member @ U @ universal_class ) ) ) ).

thf(zf_stmt_0,negated_conjecture,
    ~ ! [X: $i] :
      ? [U: $i,V: $i] :
        ( ( ( V = X )
          & ( U = X )
          & ~ ? [Y: $i,Z: $i] :
                ( ( X
                  = ( ordered_pair @ Y @ Z ) )
                & ( member @ Z @ universal_class )
                & ( member @ Y @ universal_class ) ) )
        | ( ( X
            = ( ordered_pair @ U @ V ) )
          & ( member @ V @ universal_class )
          & ( member @ U @ universal_class ) ) ),
    inference('cnf.neg',[status(esa)],[existence_of_first_and_second]) ).

thf(zip_derived_cl90,plain,
    ! [X0: $i,X2: $i] :
      ( ( X2 != sk__7 )
      | ( X0 != sk__7 )
      | ( sk__7
        = ( ordered_pair @ sk__8 @ sk__9 ) ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl447,plain,
    ! [X0: $i] :
      ( ( sk__7
        = ( ordered_pair @ sk__8 @ sk__9 ) )
      | ( X0 != sk__7 ) ),
    inference(condensation,[status(thm)],[zip_derived_cl90]) ).

thf(zip_derived_cl448,plain,
    ( sk__7
    = ( ordered_pair @ sk__8 @ sk__9 ) ),
    inference(eq_res,[status(thm)],[zip_derived_cl447]) ).

thf(zip_derived_cl89,plain,
    ! [X0: $i,X1: $i] :
      ( ( sk__7
       != ( ordered_pair @ X0 @ X1 ) )
      | ~ ( member @ X1 @ universal_class )
      | ~ ( member @ X0 @ universal_class ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl449,plain,
    ( ( sk__7 != sk__7 )
    | ~ ( member @ sk__8 @ universal_class )
    | ~ ( member @ sk__9 @ universal_class ) ),
    inference('sup-',[status(thm)],[zip_derived_cl448,zip_derived_cl89]) ).

thf(zip_derived_cl92,plain,
    ! [X0: $i,X2: $i] :
      ( ( X2 != sk__7 )
      | ( X0 != sk__7 )
      | ( member @ sk__8 @ universal_class ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl430,plain,
    ! [X0: $i] :
      ( ( member @ sk__8 @ universal_class )
      | ( X0 != sk__7 ) ),
    inference(condensation,[status(thm)],[zip_derived_cl92]) ).

thf(zip_derived_cl431,plain,
    member @ sk__8 @ universal_class,
    inference(eq_res,[status(thm)],[zip_derived_cl430]) ).

thf(zip_derived_cl91,plain,
    ! [X0: $i,X2: $i] :
      ( ( X2 != sk__7 )
      | ( X0 != sk__7 )
      | ( member @ sk__9 @ universal_class ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl428,plain,
    ! [X0: $i] :
      ( ( member @ sk__9 @ universal_class )
      | ( X0 != sk__7 ) ),
    inference(condensation,[status(thm)],[zip_derived_cl91]) ).

thf(zip_derived_cl429,plain,
    member @ sk__9 @ universal_class,
    inference(eq_res,[status(thm)],[zip_derived_cl428]) ).

thf(zip_derived_cl450,plain,
    sk__7 != sk__7,
    inference(demod,[status(thm)],[zip_derived_cl449,zip_derived_cl431,zip_derived_cl429]) ).

thf(zip_derived_cl451,plain,
    $false,
    inference(simplify,[status(thm)],[zip_derived_cl450]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem  : SET108+1 : TPTP v9.2.0. Bugfixed v5.4.0.
% 0.13/0.13  % Command  : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.8TioG4NLdx true
% 0.14/0.35  % Computer : n014.cluster.edu
% 0.14/0.35  % Model    : x86_64 x86_64
% 0.14/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35  % Memory   : 8042.1875MB
% 0.14/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35  % CPULimit : 300
% 0.14/0.35  % WCLimit  : 300
% 0.14/0.35  % DateTime : Wed Oct  1 13:17:23 EDT 2025
% 0.14/0.36  % CPUTime  : 
% 0.14/0.36  % Running portfolio for 300 s
% 0.14/0.36  % File         : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.14/0.36  % Number of cores: 8
% 0.14/0.36  % Python version: Python 3.6.8
% 0.14/0.36  % Running in FO mode
% 0.52/0.67  % Total configuration time : 435
% 0.52/0.67  % Estimated wc time : 1092
% 0.52/0.67  % Estimated cpu time (7 cpus) : 156.0
% 0.52/0.76  % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.52/0.76  % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.52/0.76  % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.52/0.76  % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.53/0.77  % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.53/0.79  % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 0.53/0.82  % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 0.53/0.83  % Solved by fo/fo3_bce.sh.
% 0.53/0.83  % BCE start: 93
% 0.53/0.83  % BCE eliminated: 0
% 0.53/0.83  % PE start: 93
% 0.53/0.83  logic: eq
% 0.53/0.83  % PE eliminated: 5
% 0.53/0.83  % done 26 iterations in 0.025s
% 0.53/0.83  % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 0.53/0.83  % SZS output start Refutation
% See solution above
% 0.53/0.83  
% 0.53/0.83  
% 0.53/0.83  % Terminating...
% 0.55/0.91  % Runner terminated.
% 0.55/0.92  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------