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Zipperpin---2.1.9999.THM-Ref.s

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%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : SEU120+1 : TPTP v9.2.0. Released v3.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.g6jOvUc43s true

% Computer : n013.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 04:53:28 PM UTC 2025

% Result   : Theorem 1.35s 0.90s
% Output   : Refutation 1.35s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    7
%            Number of leaves      :    5
% Syntax   : Number of formulae    :   25 (   8 unt;   0 typ;   0 def)
%            Number of atoms       :   46 (  16 equ;   0 cnn)
%            Maximal formula atoms :    4 (   1 avg)
%            Number of connectives :  147 (  23   ~;  12   |;   6   &; 103   @)
%                                         (   2 <=>;   1  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   12 (   5 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :    0 (   0   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   10 (   8 usr;   5 con; 0-2 aty)
%            Number of variables   :   33 (   0   ^;  31   !;   2   ?;  33   :)

% Comments : 
%------------------------------------------------------------------------------
thf(disjoint_type,type,
    disjoint: $i > $i > $o ).

thf(sk__type,type,
    sk_: $i > $i ).

thf(sk__5_type,type,
    sk__5: $i ).

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

thf(set_intersection2_type,type,
    set_intersection2: $i > $i > $i ).

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

thf(in_type,type,
    in: $i > $i > $o ).

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

thf(d7_xboole_0,axiom,
    ! [A: $i,B: $i] :
      ( ( disjoint @ A @ B )
    <=> ( ( set_intersection2 @ A @ B )
        = empty_set ) ) ).

thf(zip_derived_cl5,plain,
    ! [X0: $i,X1: $i] :
      ( ( disjoint @ X0 @ X1 )
      | ( ( set_intersection2 @ X0 @ X1 )
       != empty_set ) ),
    inference(cnf,[status(esa)],[d7_xboole_0]) ).

thf(symmetry_r1_xboole_0,axiom,
    ! [A: $i,B: $i] :
      ( ( disjoint @ A @ B )
     => ( disjoint @ B @ A ) ) ).

thf(zip_derived_cl12,plain,
    ! [X0: $i,X1: $i] :
      ( ( disjoint @ X0 @ X1 )
      | ~ ( disjoint @ X1 @ X0 ) ),
    inference(cnf,[status(esa)],[symmetry_r1_xboole_0]) ).

thf(zip_derived_cl74,plain,
    ! [X0: $i,X1: $i] :
      ( ( ( set_intersection2 @ X1 @ X0 )
       != empty_set )
      | ( disjoint @ X0 @ X1 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl5,zip_derived_cl12]) ).

thf(t4_xboole_0,conjecture,
    ! [A: $i,B: $i] :
      ( ~ ( ? [C: $i] : ( in @ C @ ( set_intersection2 @ A @ B ) )
          & ( disjoint @ A @ B ) )
      & ~ ( ~ ( disjoint @ A @ B )
          & ! [C: $i] :
              ~ ( in @ C @ ( set_intersection2 @ A @ B ) ) ) ) ).

thf(zf_stmt_0,negated_conjecture,
    ~ ! [A: $i,B: $i] :
        ( ~ ( ? [C: $i] : ( in @ C @ ( set_intersection2 @ A @ B ) )
            & ( disjoint @ A @ B ) )
        & ~ ( ~ ( disjoint @ A @ B )
            & ! [C: $i] :
                ~ ( in @ C @ ( set_intersection2 @ A @ B ) ) ) ),
    inference('cnf.neg',[status(esa)],[t4_xboole_0]) ).

thf(zip_derived_cl13,plain,
    ( ( in @ sk__5 @ ( set_intersection2 @ sk__3 @ sk__4 ) )
    | ~ ( disjoint @ sk__3 @ sk__4 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl79,plain,
    ( ( ( set_intersection2 @ sk__4 @ sk__3 )
     != empty_set )
    | ( in @ sk__5 @ ( set_intersection2 @ sk__3 @ sk__4 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl74,zip_derived_cl13]) ).

thf(commutativity_k3_xboole_0,axiom,
    ! [A: $i,B: $i] :
      ( ( set_intersection2 @ A @ B )
      = ( set_intersection2 @ B @ A ) ) ).

thf(zip_derived_cl1,plain,
    ! [X0: $i,X1: $i] :
      ( ( set_intersection2 @ X1 @ X0 )
      = ( set_intersection2 @ X0 @ X1 ) ),
    inference(cnf,[status(esa)],[commutativity_k3_xboole_0]) ).

thf(zip_derived_cl80,plain,
    ( ( ( set_intersection2 @ sk__3 @ sk__4 )
     != empty_set )
    | ( in @ sk__5 @ ( set_intersection2 @ sk__3 @ sk__4 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl79,zip_derived_cl1]) ).

thf(d1_xboole_0,axiom,
    ! [A: $i] :
      ( ( A = empty_set )
    <=> ! [B: $i] :
          ~ ( in @ B @ A ) ) ).

thf(zip_derived_cl3,plain,
    ! [X0: $i] :
      ( ( X0 = empty_set )
      | ( in @ ( sk_ @ X0 ) @ X0 ) ),
    inference(cnf,[status(esa)],[d1_xboole_0]) ).

thf(zip_derived_cl16,plain,
    ! [X0: $i] :
      ( ( disjoint @ sk__3 @ sk__4 )
      | ~ ( in @ X0 @ ( set_intersection2 @ sk__3 @ sk__4 ) ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl81,plain,
    ( ( ( set_intersection2 @ sk__3 @ sk__4 )
      = empty_set )
    | ( disjoint @ sk__3 @ sk__4 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl3,zip_derived_cl16]) ).

thf(zip_derived_cl5_001,plain,
    ! [X0: $i,X1: $i] :
      ( ( disjoint @ X0 @ X1 )
      | ( ( set_intersection2 @ X0 @ X1 )
       != empty_set ) ),
    inference(cnf,[status(esa)],[d7_xboole_0]) ).

thf(zip_derived_cl82,plain,
    disjoint @ sk__3 @ sk__4,
    inference(clc,[status(thm)],[zip_derived_cl81,zip_derived_cl5]) ).

thf(zip_derived_cl4,plain,
    ! [X0: $i,X1: $i] :
      ( ( ( set_intersection2 @ X0 @ X1 )
        = empty_set )
      | ~ ( disjoint @ X0 @ X1 ) ),
    inference(cnf,[status(esa)],[d7_xboole_0]) ).

thf(zip_derived_cl84,plain,
    ( ( set_intersection2 @ sk__3 @ sk__4 )
    = empty_set ),
    inference('s_sup-',[status(thm)],[zip_derived_cl82,zip_derived_cl4]) ).

thf(zip_derived_cl84_002,plain,
    ( ( set_intersection2 @ sk__3 @ sk__4 )
    = empty_set ),
    inference('s_sup-',[status(thm)],[zip_derived_cl82,zip_derived_cl4]) ).

thf(zip_derived_cl2,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( in @ X0 @ X1 )
      | ( X1 != empty_set ) ),
    inference(cnf,[status(esa)],[d1_xboole_0]) ).

thf(zip_derived_cl68,plain,
    ! [X0: $i] :
      ~ ( in @ X0 @ empty_set ),
    inference(eq_res,[status(thm)],[zip_derived_cl2]) ).

thf(zip_derived_cl93,plain,
    empty_set != empty_set,
    inference(demod,[status(thm)],[zip_derived_cl80,zip_derived_cl84,zip_derived_cl84,zip_derived_cl68]) ).

thf(zip_derived_cl94,plain,
    $false,
    inference(simplify,[status(thm)],[zip_derived_cl93]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.05/0.14  % Problem  : SEU120+1 : TPTP v9.2.0. Released v3.3.0.
% 0.05/0.15  % Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.g6jOvUc43s true
% 0.11/0.35  % Computer : n013.cluster.edu
% 0.11/0.35  % Model    : x86_64 x86_64
% 0.11/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.35  % Memory   : 8042.1875MB
% 0.11/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.11/0.35  % CPULimit : 300
% 0.11/0.35  % WCLimit  : 300
% 0.11/0.35  % DateTime : Wed Oct  1 16:06:38 EDT 2025
% 0.11/0.35  % CPUTime  : 
% 0.11/0.35  % Running portfolio for 300 s
% 0.11/0.35  % File         : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.11/0.35  % Number of cores: 8
% 0.11/0.36  % Python version: Python 3.6.8
% 0.11/0.36  % Running in FO mode
% 0.17/0.65  % Total configuration time : 435
% 0.17/0.65  % Estimated wc time : 1092
% 0.17/0.65  % Estimated cpu time (7 cpus) : 156.0
% 0.87/0.77  % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.87/0.83  % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 1.23/0.88  % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 1.23/0.88  % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 1.23/0.89  % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 1.23/0.89  % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 1.35/0.90  % Solved by fo/fo6_bce.sh.
% 1.35/0.90  % BCE start: 17
% 1.35/0.90  % BCE eliminated: 0
% 1.35/0.90  % PE start: 17
% 1.35/0.90  logic: eq
% 1.35/0.90  % PE eliminated: 1
% 1.35/0.90  % done 26 iterations in 0.019s
% 1.35/0.90  % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 1.35/0.90  % SZS output start Refutation
% See solution above
% 1.35/0.90  
% 1.35/0.90  
% 1.35/0.90  % Terminating...
% 1.46/1.05  % Runner terminated.
% 1.71/1.07  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------