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Zipperpin---2.1.9999.THM-Ref.s

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%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : SET630^3 : TPTP v9.2.0. Released v3.6.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.WngQNJAewS true

% Computer : n024.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 04:52:30 PM UTC 2025

% Result   : Theorem 0.99s 0.70s
% Output   : Refutation 0.99s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    3
%            Number of leaves      :    8
% Syntax   : Number of formulae    :   16 (  12 unt;   0 typ;   0 def)
%            Number of atoms       :   26 (   9 equ;   0 cnn)
%            Maximal formula atoms :    3 (   1 avg)
%            Number of connectives :   90 (  18   ~;   6   |;  20   &;  46   @)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   11 (   3 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :   24 (  24   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :    8 (   6 usr;   2 con; 0-3 aty)
%            Number of variables   :   35 (  24   ^;   6   !;   5   ?;  35   :)

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

thf(excl_union_type,type,
    excl_union: ( $i > $o ) > ( $i > $o ) > $i > $o ).

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

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

thf(misses_type,type,
    misses: ( $i > $o ) > ( $i > $o ) > $o ).

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

thf(misses,axiom,
    ( misses
    = ( ^ [X: $i > $o,Y: $i > $o] :
          ~ ? [U: $i] :
              ( ( Y @ U )
              & ( X @ U ) ) ) ) ).

thf('0',plain,
    ( misses
    = ( ^ [X: $i > $o,Y: $i > $o] :
          ~ ? [U: $i] :
              ( ( Y @ U )
              & ( X @ U ) ) ) ),
    inference(simplify_rw_rule,[status(thm)],[misses]) ).

thf('1',plain,
    ( misses
    = ( ^ [V_1: $i > $o,V_2: $i > $o] :
          ~ ? [X4: $i] :
              ( ( V_2 @ X4 )
              & ( V_1 @ X4 ) ) ) ),
    define([status(thm)]) ).

thf(intersection,axiom,
    ( intersection
    = ( ^ [X: $i > $o,Y: $i > $o,U: $i] :
          ( ( X @ U )
          & ( Y @ U ) ) ) ) ).

thf('2',plain,
    ( intersection
    = ( ^ [X: $i > $o,Y: $i > $o,U: $i] :
          ( ( X @ U )
          & ( Y @ U ) ) ) ),
    inference(simplify_rw_rule,[status(thm)],[intersection]) ).

thf('3',plain,
    ( intersection
    = ( ^ [V_1: $i > $o,V_2: $i > $o,V_3: $i] :
          ( ( V_1 @ V_3 )
          & ( V_2 @ V_3 ) ) ) ),
    define([status(thm)]) ).

thf(excl_union,axiom,
    ( excl_union
    = ( ^ [X: $i > $o,Y: $i > $o,U: $i] :
          ( ( ( X @ U )
            & ~ ( Y @ U ) )
          | ( ~ ( X @ U )
            & ( Y @ U ) ) ) ) ) ).

thf('4',plain,
    ( excl_union
    = ( ^ [X: $i > $o,Y: $i > $o,U: $i] :
          ( ( ( X @ U )
            & ~ ( Y @ U ) )
          | ( ~ ( X @ U )
            & ( Y @ U ) ) ) ) ),
    inference(simplify_rw_rule,[status(thm)],[excl_union]) ).

thf('5',plain,
    ( excl_union
    = ( ^ [V_1: $i > $o,V_2: $i > $o,V_3: $i] :
          ( ( ( V_1 @ V_3 )
            & ~ ( V_2 @ V_3 ) )
          | ( ~ ( V_1 @ V_3 )
            & ( V_2 @ V_3 ) ) ) ) ),
    define([status(thm)]) ).

thf(thm,conjecture,
    ! [X: $i > $o,Y: $i > $o] : ( misses @ ( intersection @ X @ Y ) @ ( excl_union @ X @ Y ) ) ).

thf(zf_stmt_0,conjecture,
    ! [X4: $i > $o,X6: $i > $o] :
      ~ ? [X8: $i] :
          ( ( ( ( X4 @ X8 )
              & ~ ( X6 @ X8 ) )
            | ( ~ ( X4 @ X8 )
              & ( X6 @ X8 ) ) )
          & ( X4 @ X8 )
          & ( X6 @ X8 ) ) ).

thf(zf_stmt_1,negated_conjecture,
    ~ ! [X4: $i > $o,X6: $i > $o] :
        ~ ? [X8: $i] :
            ( ( ( ( X4 @ X8 )
                & ~ ( X6 @ X8 ) )
              | ( ~ ( X4 @ X8 )
                & ( X6 @ X8 ) ) )
            & ( X4 @ X8 )
            & ( X6 @ X8 ) ),
    inference('cnf.neg',[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl4,plain,
    ( ~ ( sk__4 @ sk__5 )
    | ~ ( sk__3 @ sk__5 ) ),
    inference(cnf,[status(esa)],[zf_stmt_1]) ).

thf(zip_derived_cl0,plain,
    sk__4 @ sk__5,
    inference(cnf,[status(esa)],[zf_stmt_1]) ).

thf(zip_derived_cl1,plain,
    sk__3 @ sk__5,
    inference(cnf,[status(esa)],[zf_stmt_1]) ).

thf(zip_derived_cl10,plain,
    $false,
    inference(demod,[status(thm)],[zip_derived_cl4,zip_derived_cl0,zip_derived_cl1]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.09/0.10  % Problem  : SET630^3 : TPTP v9.2.0. Released v3.6.0.
% 0.09/0.11  % Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.WngQNJAewS true
% 0.10/0.31  % Computer : n024.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
% 0.16/0.31  % CPULimit : 300
% 0.16/0.31  % WCLimit  : 300
% 0.16/0.31  % DateTime : Wed Oct  1 13:06:23 EDT 2025
% 0.16/0.31  % CPUTime  : 
% 0.16/0.31  % Running portfolio for 300 s
% 0.16/0.31  % File         : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.16/0.31  % Number of cores: 8
% 0.16/0.32  % Python version: Python 3.6.8
% 0.16/0.32  % Running in HO mode
% 0.16/0.59  % Total configuration time : 828
% 0.16/0.59  % Estimated wc time : 1656
% 0.16/0.59  % Estimated cpu time (8 cpus) : 207.0
% 0.99/0.66  % /export/starexec/sandbox2/solver/bin/lams/40_c.s.sh running for 80s
% 0.99/0.67  % /export/starexec/sandbox2/solver/bin/lams/40_c_ic.sh running for 80s
% 0.99/0.67  % /export/starexec/sandbox2/solver/bin/lams/35_full_unif4.sh running for 80s
% 0.99/0.67  % /export/starexec/sandbox2/solver/bin/lams/40_noforms.sh running for 90s
% 0.99/0.67  % /export/starexec/sandbox2/solver/bin/lams/15_e_short1.sh running for 30s
% 0.99/0.67  % /export/starexec/sandbox2/solver/bin/lams/40_b.comb.sh running for 70s
% 0.99/0.68  % /export/starexec/sandbox2/solver/bin/lams/20_acsne_simpl.sh running for 40s
% 0.99/0.70  % Solved by lams/40_c.s.sh.
% 0.99/0.70  % done 5 iterations in 0.011s
% 0.99/0.70  % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 0.99/0.70  % SZS output start Refutation
% See solution above
% 0.99/0.70  
% 0.99/0.70  
% 0.99/0.70  % Terminating...
% 0.99/0.70  % /export/starexec/sandbox2/solver/bin/lams/30_sp5.sh running for 60s
% 1.69/0.78  % Runner terminated.
% 1.69/0.79  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------