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Zipperpin---2.1.9999.THM-Ref.s

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%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : SET891+1 : TPTP v9.2.0. Released v3.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.uWWDDyUbl7 true

% Computer : n009.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 04:53:06 PM UTC 2025

% Result   : Theorem 1.23s 0.71s
% Output   : Refutation 1.23s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    5
%            Number of leaves      :    3
% Syntax   : Number of formulae    :   10 (  10 unt;   0 typ;   0 def)
%            Number of atoms       :   10 (   9 equ;   0 cnn)
%            Maximal formula atoms :    1 (   1 avg)
%            Number of connectives :   57 (   4   ~;   0   |;   0   &;  53   @)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    4 (   3 avg)
%            Number of types       :    1 (   0 usr)
%            Number of type conns  :    0 (   0   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :    8 (   6 usr;   3 con; 0-2 aty)
%            Number of variables   :   12 (   0   ^;  12   !;   0   ?;  12   :)

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

thf(set_union2_type,type,
    set_union2: $i > $i > $i ).

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

thf(sk__3_type,type,
    sk__3: $i ).

thf(sk__2_type,type,
    sk__2: $i ).

thf(union_type,type,
    union: $i > $i ).

thf(t32_zfmisc_1,conjecture,
    ! [A: $i,B: $i] :
      ( ( union @ ( unordered_pair @ ( singleton @ A ) @ ( singleton @ B ) ) )
      = ( unordered_pair @ A @ B ) ) ).

thf(zf_stmt_0,negated_conjecture,
    ~ ! [A: $i,B: $i] :
        ( ( union @ ( unordered_pair @ ( singleton @ A ) @ ( singleton @ B ) ) )
        = ( unordered_pair @ A @ B ) ),
    inference('cnf.neg',[status(esa)],[t32_zfmisc_1]) ).

thf(zip_derived_cl8,plain,
    ( ( union @ ( unordered_pair @ ( singleton @ sk__2 ) @ ( singleton @ sk__3 ) ) )
   != ( unordered_pair @ sk__2 @ sk__3 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(l52_zfmisc_1,axiom,
    ! [A: $i,B: $i] :
      ( ( union @ ( unordered_pair @ A @ B ) )
      = ( set_union2 @ A @ B ) ) ).

thf(zip_derived_cl5,plain,
    ! [X0: $i,X1: $i] :
      ( ( union @ ( unordered_pair @ X0 @ X1 ) )
      = ( set_union2 @ X0 @ X1 ) ),
    inference(cnf,[status(esa)],[l52_zfmisc_1]) ).

thf(zip_derived_cl24,plain,
    ( ( set_union2 @ ( singleton @ sk__2 ) @ ( singleton @ sk__3 ) )
   != ( unordered_pair @ sk__2 @ sk__3 ) ),
    inference(demod,[status(thm)],[zip_derived_cl8,zip_derived_cl5]) ).

thf(t41_enumset1,axiom,
    ! [A: $i,B: $i] :
      ( ( unordered_pair @ A @ B )
      = ( set_union2 @ ( singleton @ A ) @ ( singleton @ B ) ) ) ).

thf(zip_derived_cl9,plain,
    ! [X0: $i,X1: $i] :
      ( ( unordered_pair @ X0 @ X1 )
      = ( set_union2 @ ( singleton @ X0 ) @ ( singleton @ X1 ) ) ),
    inference(cnf,[status(esa)],[t41_enumset1]) ).

thf(zip_derived_cl36,plain,
    ( ( unordered_pair @ sk__2 @ sk__3 )
   != ( unordered_pair @ sk__2 @ sk__3 ) ),
    inference(demod,[status(thm)],[zip_derived_cl24,zip_derived_cl9]) ).

thf(zip_derived_cl37,plain,
    $false,
    inference(simplify,[status(thm)],[zip_derived_cl36]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.10  % Problem  : SET891+1 : TPTP v9.2.0. Released v3.2.0.
% 0.00/0.11  % Command  : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.uWWDDyUbl7 true
% 0.11/0.31  % Computer : n009.cluster.edu
% 0.11/0.31  % Model    : x86_64 x86_64
% 0.11/0.31  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.31  % Memory   : 8042.1875MB
% 0.11/0.31  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.11/0.31  % CPULimit : 300
% 0.11/0.31  % WCLimit  : 300
% 0.11/0.31  % DateTime : Wed Oct  1 13:22:23 EDT 2025
% 0.11/0.31  % CPUTime  : 
% 0.11/0.31  % Running portfolio for 300 s
% 0.11/0.31  % File         : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.11/0.31  % Number of cores: 8
% 0.16/0.31  % Python version: Python 3.6.8
% 0.16/0.31  % Running in FO mode
% 0.16/0.56  % Total configuration time : 435
% 0.16/0.56  % Estimated wc time : 1092
% 0.16/0.56  % Estimated cpu time (7 cpus) : 156.0
% 0.94/0.67  % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.94/0.67  % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.94/0.67  % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.94/0.68  % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.94/0.68  % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.94/0.68  % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 0.94/0.69  % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 1.23/0.71  % Solved by fo/fo6_bce.sh.
% 1.23/0.71  % BCE start: 10
% 1.23/0.71  % BCE eliminated: 0
% 1.23/0.71  % PE start: 10
% 1.23/0.71  logic: eq
% 1.23/0.71  % PE eliminated: 0
% 1.23/0.71  % done 12 iterations in 0.015s
% 1.23/0.71  % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 1.23/0.71  % SZS output start Refutation
% See solution above
% 1.23/0.71  
% 1.23/0.71  
% 1.23/0.71  % Terminating...
% 1.58/0.78  % Runner terminated.
% 1.58/0.79  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------