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Zipperpin---2.1.9999.THM-Ref.s

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%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : SEV176^5 : TPTP v9.2.0. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.Edz1OPCCqv true

% Computer : n031.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 04:57:19 PM UTC 2025

% Result   : Theorem 0.49s 0.73s
% Output   : Refutation 0.49s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    7
%            Number of leaves      :    1
% Syntax   : Number of formulae    :   14 (   3 unt;   0 typ;   0 def)
%            Number of atoms       :   30 (   0 equ;   0 cnn)
%            Maximal formula atoms :    3 (   2 avg)
%            Number of connectives :   95 (  15   ~;  12   |;   2   &;  64   @)
%                                         (   2 <=>;   0  =>;   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     :    4 (   3 usr;   2 con; 0-2 aty)
%            Number of variables   :   16 (   0   ^;  12   !;   4   ?;  16   :)

% Comments : 
%------------------------------------------------------------------------------
thf(sk__type,type,
    sk_: $i ).

thf(cR_type,type,
    cR: $i > $i > $o ).

thf(sk__1_type,type,
    sk__1: $i > $i ).

thf(cTHM25,conjecture,
    ~ ? [Y: $i] :
      ! [X: $i] :
        ( ( cR @ X @ Y )
      <=> ~ ? [Z: $i] :
              ( ( cR @ Z @ X )
              & ( cR @ X @ Z ) ) ) ).

thf(zf_stmt_0,negated_conjecture,
    ? [Y: $i] :
    ! [X: $i] :
      ( ( cR @ X @ Y )
    <=> ~ ? [Z: $i] :
            ( ( cR @ Z @ X )
            & ( cR @ X @ Z ) ) ),
    inference('cnf.neg',[status(esa)],[cTHM25]) ).

thf(zip_derived_cl0,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( cR @ X0 @ X1 )
      | ~ ( cR @ X1 @ X0 )
      | ~ ( cR @ X0 @ sk_ ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl5,plain,
    ! [X0: $i] :
      ( ~ ( cR @ X0 @ sk_ )
      | ~ ( cR @ sk_ @ X0 ) ),
    inference(eq_fact,[status(thm)],[zip_derived_cl0]) ).

thf(zip_derived_cl12,plain,
    ~ ( cR @ sk_ @ sk_ ),
    inference(eq_fact,[status(thm)],[zip_derived_cl5]) ).

thf(zip_derived_cl1,plain,
    ! [X2: $i] :
      ( ( cR @ X2 @ sk_ )
      | ( cR @ ( sk__1 @ X2 ) @ X2 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl1_001,plain,
    ! [X2: $i] :
      ( ( cR @ X2 @ sk_ )
      | ( cR @ ( sk__1 @ X2 ) @ X2 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl0_002,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( cR @ X0 @ X1 )
      | ~ ( cR @ X1 @ X0 )
      | ~ ( cR @ X0 @ sk_ ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl3,plain,
    ! [X0: $i] :
      ( ( cR @ X0 @ sk_ )
      | ~ ( cR @ ( sk__1 @ X0 ) @ sk_ )
      | ~ ( cR @ X0 @ ( sk__1 @ X0 ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl1,zip_derived_cl0]) ).

thf(zip_derived_cl2,plain,
    ! [X2: $i] :
      ( ( cR @ X2 @ sk_ )
      | ( cR @ X2 @ ( sk__1 @ X2 ) ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl21,plain,
    ! [X0: $i] :
      ( ~ ( cR @ ( sk__1 @ X0 ) @ sk_ )
      | ( cR @ X0 @ sk_ ) ),
    inference(clc,[status(thm)],[zip_derived_cl3,zip_derived_cl2]) ).

thf(zip_derived_cl23,plain,
    ( ( cR @ sk_ @ sk_ )
    | ( cR @ sk_ @ sk_ ) ),
    inference('sup-',[status(thm)],[zip_derived_cl1,zip_derived_cl21]) ).

thf(zip_derived_cl26,plain,
    cR @ sk_ @ sk_,
    inference(simplify,[status(thm)],[zip_derived_cl23]) ).

thf(zip_derived_cl30,plain,
    $false,
    inference(demod,[status(thm)],[zip_derived_cl12,zip_derived_cl26]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.05/0.10  % Problem  : SEV176^5 : TPTP v9.2.0. Released v4.0.0.
% 0.05/0.11  % Command  : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.Edz1OPCCqv true
% 0.11/0.31  % Computer : n031.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 15:36:38 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
% 0.17/0.31  % Number of cores: 8
% 0.17/0.31  % Python version: Python 3.6.8
% 0.17/0.32  % Running in HO mode
% 0.44/0.61  % Total configuration time : 828
% 0.44/0.61  % Estimated wc time : 1656
% 0.44/0.61  % Estimated cpu time (8 cpus) : 207.0
% 0.49/0.69  % /export/starexec/sandbox/solver/bin/lams/35_full_unif4.sh running for 80s
% 0.49/0.69  % /export/starexec/sandbox/solver/bin/lams/40_c.s.sh running for 80s
% 0.49/0.69  % /export/starexec/sandbox/solver/bin/lams/40_c_ic.sh running for 80s
% 0.49/0.69  % /export/starexec/sandbox/solver/bin/lams/15_e_short1.sh running for 30s
% 0.49/0.69  % /export/starexec/sandbox/solver/bin/lams/40_b.comb.sh running for 70s
% 0.49/0.69  % /export/starexec/sandbox/solver/bin/lams/40_noforms.sh running for 90s
% 0.49/0.70  % /export/starexec/sandbox/solver/bin/lams/30_sp5.sh running for 60s
% 0.49/0.70  % /export/starexec/sandbox/solver/bin/lams/20_acsne_simpl.sh running for 40s
% 0.49/0.73  % Solved by lams/40_c_ic.sh.
% 0.49/0.73  % done 13 iterations in 0.016s
% 0.49/0.73  % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 0.49/0.73  % SZS output start Refutation
% See solution above
% 0.49/0.73  
% 0.49/0.73  
% 0.49/0.73  % Terminating...
% 0.54/0.80  % Runner terminated.
% 1.93/0.82  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------