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Zipperpin---2.1.9999.THM-Ref.s

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%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : SET581+3 : TPTP v9.2.0. Released v2.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.9eqF1i5zPE 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 Oct  2 04:52:17 PM UTC 2025

% Result   : Theorem 0.61s 0.86s
% Output   : Refutation 0.61s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    7
%            Number of leaves      :    4
% Syntax   : Number of formulae    :   16 (   8 unt;   0 typ;   0 def)
%            Number of atoms       :   29 (   3 equ;   0 cnn)
%            Maximal formula atoms :    3 (   1 avg)
%            Number of connectives :   87 (  12   ~;   6   |;   3   &;  62   @)
%                                         (   2 <=>;   2  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   10 (   6 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :    0 (   0   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :    9 (   7 usr;   5 con; 0-2 aty)
%            Number of variables   :   20 (   0   ^;  20   !;   0   ?;  20   :)

% Comments : 
%------------------------------------------------------------------------------
thf(intersection_type,type,
    intersection: $i > $i > $i ).

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

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

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

thf(sk__4_type,type,
    sk__4: $i ).

thf(empty_set_type,type,
    empty_set: $i ).

thf(not_equal_type,type,
    not_equal: $i > $i > $o ).

thf(prove_th24,conjecture,
    ! [B: $i,C: $i,D: $i] :
      ( ( ( member @ B @ C )
        & ( member @ B @ D ) )
     => ( not_equal @ ( intersection @ C @ D ) @ empty_set ) ) ).

thf(zf_stmt_0,negated_conjecture,
    ~ ! [B: $i,C: $i,D: $i] :
        ( ( ( member @ B @ C )
          & ( member @ B @ D ) )
       => ( not_equal @ ( intersection @ C @ D ) @ empty_set ) ),
    inference('cnf.neg',[status(esa)],[prove_th24]) ).

thf(zip_derived_cl14,plain,
    member @ sk__2 @ sk__4,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(not_equal_defn,axiom,
    ! [B: $i,C: $i] :
      ( ( not_equal @ B @ C )
    <=> ( B != C ) ) ).

thf(zip_derived_cl9,plain,
    ! [X0: $i,X1: $i] :
      ( ( not_equal @ X0 @ X1 )
      | ( X0 = X1 ) ),
    inference(cnf,[status(esa)],[not_equal_defn]) ).

thf(zip_derived_cl13,plain,
    ~ ( not_equal @ ( intersection @ sk__3 @ sk__4 ) @ empty_set ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl66,plain,
    ( ( intersection @ sk__3 @ sk__4 )
    = empty_set ),
    inference('dp-resolution',[status(thm)],[zip_derived_cl9,zip_derived_cl13]) ).

thf(intersection_defn,axiom,
    ! [B: $i,C: $i,D: $i] :
      ( ( member @ D @ ( intersection @ B @ C ) )
    <=> ( ( member @ D @ B )
        & ( member @ D @ C ) ) ) ).

thf(zip_derived_cl2,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( member @ X0 @ ( intersection @ X1 @ X2 ) )
      | ~ ( member @ X0 @ X2 )
      | ~ ( member @ X0 @ X1 ) ),
    inference(cnf,[status(esa)],[intersection_defn]) ).

thf(zip_derived_cl86,plain,
    ! [X0: $i] :
      ( ( member @ X0 @ empty_set )
      | ~ ( member @ X0 @ sk__4 )
      | ~ ( member @ X0 @ sk__3 ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl66,zip_derived_cl2]) ).

thf(empty_set_defn,axiom,
    ! [B: $i] :
      ~ ( member @ B @ empty_set ) ).

thf(zip_derived_cl3,plain,
    ! [X0: $i] :
      ~ ( member @ X0 @ empty_set ),
    inference(cnf,[status(esa)],[empty_set_defn]) ).

thf(zip_derived_cl87,plain,
    ! [X0: $i] :
      ( ~ ( member @ X0 @ sk__4 )
      | ~ ( member @ X0 @ sk__3 ) ),
    inference(demod,[status(thm)],[zip_derived_cl86,zip_derived_cl3]) ).

thf(zip_derived_cl88,plain,
    ~ ( member @ sk__2 @ sk__3 ),
    inference('s_sup-',[status(thm)],[zip_derived_cl14,zip_derived_cl87]) ).

thf(zip_derived_cl15,plain,
    member @ sk__2 @ sk__3,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl89,plain,
    $false,
    inference(demod,[status(thm)],[zip_derived_cl88,zip_derived_cl15]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13  % Problem  : SET581+3 : TPTP v9.2.0. Released v2.2.0.
% 0.07/0.14  % Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.9eqF1i5zPE true
% 0.15/0.36  % Computer : n021.cluster.edu
% 0.15/0.36  % Model    : x86_64 x86_64
% 0.15/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36  % Memory   : 8042.1875MB
% 0.15/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36  % CPULimit : 300
% 0.15/0.36  % WCLimit  : 300
% 0.15/0.36  % DateTime : Wed Oct  1 13:03:08 EDT 2025
% 0.15/0.36  % CPUTime  : 
% 0.15/0.36  % Running portfolio for 300 s
% 0.15/0.36  % File         : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.15/0.36  % Number of cores: 8
% 0.15/0.36  % Python version: Python 3.6.8
% 0.15/0.36  % Running in FO mode
% 0.55/0.72  % Total configuration time : 435
% 0.55/0.72  % Estimated wc time : 1092
% 0.55/0.72  % Estimated cpu time (7 cpus) : 156.0
% 0.60/0.81  % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.60/0.82  % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.60/0.83  % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.60/0.83  % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.60/0.84  % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.61/0.86  % Solved by fo/fo6_bce.sh.
% 0.61/0.86  % BCE start: 16
% 0.61/0.86  % BCE eliminated: 1
% 0.61/0.86  % PE start: 15
% 0.61/0.86  logic: eq
% 0.61/0.86  % PE eliminated: 2
% 0.61/0.86  % done 13 iterations in 0.019s
% 0.61/0.86  % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 0.61/0.86  % SZS output start Refutation
% See solution above
% 0.61/0.86  
% 0.61/0.86  
% 0.61/0.86  % Terminating...
% 1.74/0.93  % Runner terminated.
% 1.74/0.93  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------