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Zipperpin---2.1.9999.THM-Ref.s

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%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : SET076^1 : TPTP v9.2.0. Released v3.6.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.mzZbxVaRCD true

% Computer : n019.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 04:51:28 PM UTC 2025

% Result   : Theorem 0.43s 0.66s
% Output   : Refutation 0.43s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    5
%            Number of leaves      :    6
% Syntax   : Number of formulae    :   17 (  12 unt;   0 typ;   0 def)
%            Number of atoms       :   34 (  20 equ;   0 cnn)
%            Maximal formula atoms :    2 (   2 avg)
%            Number of connectives :   44 (   3   ~;   7   |;   3   &;  23   @)
%                                         (   0 <=>;   8  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    9 (   3 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :    9 (   9   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :    8 (   6 usr;   4 con; 0-3 aty)
%            Number of variables   :   29 (  15   ^;  14   !;   0   ?;  29   :)

% Comments : 
%------------------------------------------------------------------------------
thf(sk__6_type,type,
    sk__6: $i ).

thf(unord_pair_type,type,
    unord_pair: $i > $i > $i > $o ).

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

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

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

thf(subset_type,type,
    subset: ( $i > $o ) > ( $i > $o ) > $o ).

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

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

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

thf(unord_pair,axiom,
    ( unord_pair
    = ( ^ [X: $i,Y: $i,U: $i] :
          ( ( U = X )
          | ( U = Y ) ) ) ) ).

thf('2',plain,
    ( unord_pair
    = ( ^ [X: $i,Y: $i,U: $i] :
          ( ( U = X )
          | ( U = Y ) ) ) ),
    inference(simplify_rw_rule,[status(thm)],[unord_pair]) ).

thf('3',plain,
    ( unord_pair
    = ( ^ [V_1: $i,V_2: $i,V_3: $i] :
          ( ( V_3 = V_1 )
          | ( V_3 = V_2 ) ) ) ),
    define([status(thm)]) ).

thf(thm,conjecture,
    ! [X: $i,Y: $i,Z: $i > $o] :
      ( ( ( Z @ X )
        & ( Z @ Y ) )
     => ( subset @ ( unord_pair @ X @ Y ) @ Z ) ) ).

thf(zf_stmt_0,conjecture,
    ! [X4: $i,X6: $i,X8: $i > $o] :
      ( ( ( X8 @ X4 )
        & ( X8 @ X6 ) )
     => ! [X10: $i] :
          ( ( ( X10 = X4 )
            | ( X10 = X6 ) )
         => ( X8 @ X10 ) ) ) ).

thf(zf_stmt_1,negated_conjecture,
    ~ ! [X4: $i,X6: $i,X8: $i > $o] :
        ( ( ( X8 @ X4 )
          & ( X8 @ X6 ) )
       => ! [X10: $i] :
            ( ( ( X10 = X4 )
              | ( X10 = X6 ) )
           => ( X8 @ X10 ) ) ),
    inference('cnf.neg',[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl0,plain,
    sk__5 @ sk__3,
    inference(cnf,[status(esa)],[zf_stmt_1]) ).

thf(zip_derived_cl3,plain,
    ( ( sk__6 = sk__3 )
    | ( sk__6 = sk__4 ) ),
    inference(cnf,[status(esa)],[zf_stmt_1]) ).

thf(zip_derived_cl1,plain,
    sk__5 @ sk__4,
    inference(cnf,[status(esa)],[zf_stmt_1]) ).

thf(zip_derived_cl4,plain,
    ( ( sk__5 @ sk__6 )
    | ( sk__6 = sk__3 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl3,zip_derived_cl1]) ).

thf(zip_derived_cl2,plain,
    ~ ( sk__5 @ sk__6 ),
    inference(cnf,[status(esa)],[zf_stmt_1]) ).

thf(zip_derived_cl5,plain,
    sk__6 = sk__3,
    inference('sup-',[status(thm)],[zip_derived_cl4,zip_derived_cl2]) ).

thf(zip_derived_cl2_001,plain,
    ~ ( sk__5 @ sk__6 ),
    inference(cnf,[status(esa)],[zf_stmt_1]) ).

thf(zip_derived_cl7,plain,
    $false,
    inference(demod,[status(thm)],[zip_derived_cl0,zip_derived_cl5,zip_derived_cl2]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.05/0.10  % Problem  : SET076^1 : TPTP v9.2.0. Released v3.6.0.
% 0.05/0.10  % Command  : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.mzZbxVaRCD true
% 0.10/0.30  % Computer : n019.cluster.edu
% 0.10/0.30  % Model    : x86_64 x86_64
% 0.10/0.30  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.30  % Memory   : 8042.1875MB
% 0.10/0.30  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.10/0.30  % CPULimit : 300
% 0.10/0.30  % WCLimit  : 300
% 0.10/0.30  % DateTime : Wed Oct  1 13:18:53 EDT 2025
% 0.10/0.30  % CPUTime  : 
% 0.10/0.30  % Running portfolio for 300 s
% 0.10/0.30  % File         : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.10/0.30  % Number of cores: 8
% 0.10/0.31  % Python version: Python 3.6.8
% 0.10/0.31  % Running in HO mode
% 0.43/0.54  % Total configuration time : 828
% 0.43/0.54  % Estimated wc time : 1656
% 0.43/0.54  % Estimated cpu time (8 cpus) : 207.0
% 0.43/0.63  % /export/starexec/sandbox/solver/bin/lams/40_c.s.sh running for 80s
% 0.43/0.64  % /export/starexec/sandbox/solver/bin/lams/40_noforms.sh running for 90s
% 0.43/0.64  % /export/starexec/sandbox/solver/bin/lams/15_e_short1.sh running for 30s
% 0.43/0.64  % /export/starexec/sandbox/solver/bin/lams/35_full_unif4.sh running for 80s
% 0.43/0.64  % /export/starexec/sandbox/solver/bin/lams/40_c_ic.sh running for 80s
% 0.43/0.64  % /export/starexec/sandbox/solver/bin/lams/40_b.comb.sh running for 70s
% 0.43/0.65  % /export/starexec/sandbox/solver/bin/lams/20_acsne_simpl.sh running for 40s
% 0.43/0.66  % /export/starexec/sandbox/solver/bin/lams/30_sp5.sh running for 60s
% 0.43/0.66  % Solved by lams/40_c.s.sh.
% 0.43/0.66  % done 5 iterations in 0.012s
% 0.43/0.66  % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 0.43/0.66  % SZS output start Refutation
% See solution above
% 0.43/0.66  
% 0.43/0.66  
% 0.43/0.66  % Terminating...
% 0.55/0.76  % Runner terminated.
% 1.69/0.77  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------