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Zipperpin---2.1.9999.THM-Ref.s

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%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : SYO032^1 : TPTP v9.2.0. Released v3.7.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.Nolx8bgy2V true

% Computer : n010.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 05:06:15 PM UTC 2025

% Result   : Theorem 1.32s 1.19s
% Output   : Refutation 1.32s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    7
%            Number of leaves      :    1
% Syntax   : Number of formulae    :    8 (   2 unt;   0 typ;   0 def)
%            Number of atoms       :   18 (   1 equ;   0 cnn)
%            Maximal formula atoms :    4 (   2 avg)
%            Number of connectives :   55 (   6   ~;   7   |;   0   &;  30   @)
%                                         (   6 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   11 (   7 avg)
%            Number of types       :    1 (   0 usr)
%            Number of type conns  :   14 (  14   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :    6 (   2 usr;   3 con; 0-2 aty)
%                                         (   5  !!;   1  ??;   0 @@+;   0 @@-)
%            Number of variables   :   16 (   6   ^;   8   !;   2   ?;  16   :)

% Comments : 
%------------------------------------------------------------------------------
thf('#sk9_type',type,
    '#sk9': ( $o > $o > $o ) > $o ).

thf('#sk3_type',type,
    '#sk3': ( $o > $o > $o ) > $o ).

thf(conj,conjecture,
    ? [D: $o > $o > $o] :
    ! [P: $o,Q: $o] :
      ( ( D @ P @ Q )
    <=> ( Q
        | P ) ) ).

thf(zf_stmt_0,negated_conjecture,
    ~ ? [D: $o > $o > $o] :
      ! [P: $o,Q: $o] :
        ( ( D @ P @ Q )
      <=> ( Q
          | P ) ),
    inference('cnf.neg',[status(esa)],[conj]) ).

thf(zip_derived_cl0,plain,
    ~ ( ??
      @ ^ [Y0: $o > $o > $o] :
          ( !!
          @ ^ [Y1: $o] :
              ( !!
              @ ^ [Y2: $o] :
                  ( ( Y0 @ Y1 @ Y2 )
                <=> ( Y2
                    | Y1 ) ) ) ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl3,plain,
    ! [X2: $o > $o > $o] :
      ~ ( !!
        @ ^ [Y0: $o] :
            ( !!
            @ ^ [Y1: $o] :
                ( ( X2 @ Y0 @ Y1 )
              <=> ( Y1
                  | Y0 ) ) ) ),
    inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl0]) ).

thf(zip_derived_cl4,plain,
    ! [X2: $o > $o > $o] :
      ~ ( !!
        @ ^ [Y0: $o] :
            ( ( X2 @ ( '#sk3' @ X2 ) @ Y0 )
          <=> ( Y0
              | ( '#sk3' @ X2 ) ) ) ),
    inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl3]) ).

thf(zip_derived_cl5,plain,
    ! [X2: $o > $o > $o] :
      ~ ( ( X2 @ ( '#sk3' @ X2 ) @ ( '#sk9' @ X2 ) )
      <=> ( ( '#sk9' @ X2 )
          | ( '#sk3' @ X2 ) ) ),
    inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl4]) ).

thf(zip_derived_cl6,plain,
    ! [X2: $o > $o > $o] :
      ( ( X2 @ ( '#sk3' @ X2 ) @ ( '#sk9' @ X2 ) )
     != ( ( '#sk9' @ X2 )
        | ( '#sk3' @ X2 ) ) ),
    inference('simplify nested equalities',[status(thm)],[zip_derived_cl5]) ).

thf(zip_derived_cl17,plain,
    $false,
    inference(eq_res,[status(thm)],[zip_derived_cl6]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.29  % Problem  : SYO032^1 : TPTP v9.2.0. Released v3.7.0.
% 0.08/0.30  % Command  : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.Nolx8bgy2V true
% 0.09/0.56  % Computer : n010.cluster.edu
% 0.09/0.56  % Model    : x86_64 x86_64
% 0.09/0.56  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.56  % Memory   : 8042.1875MB
% 0.09/0.56  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.09/0.56  % CPULimit : 300
% 0.09/0.56  % WCLimit  : 300
% 0.09/0.56  % DateTime : Wed Oct  1 17:52:08 EDT 2025
% 0.14/0.58  % CPUTime  : 
% 0.14/0.58  % Running portfolio for 300 s
% 0.14/0.58  % File         : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.14/0.60  % Number of cores: 8
% 0.14/0.60  % Python version: Python 3.6.8
% 0.14/0.63  % Running in HO mode
% 0.16/0.96  % Total configuration time : 828
% 0.16/0.96  % Estimated wc time : 1656
% 0.16/0.96  % Estimated cpu time (8 cpus) : 207.0
% 1.15/1.10  % /export/starexec/sandbox/solver/bin/lams/35_full_unif4.sh running for 80s
% 1.15/1.10  % /export/starexec/sandbox/solver/bin/lams/40_c_ic.sh running for 80s
% 1.15/1.11  % /export/starexec/sandbox/solver/bin/lams/40_c.s.sh running for 80s
% 1.15/1.12  % /export/starexec/sandbox/solver/bin/lams/15_e_short1.sh running for 30s
% 1.15/1.12  % /export/starexec/sandbox/solver/bin/lams/40_noforms.sh running for 90s
% 1.15/1.13  % /export/starexec/sandbox/solver/bin/lams/30_sp5.sh running for 60s
% 1.15/1.13  % /export/starexec/sandbox/solver/bin/lams/20_acsne_simpl.sh running for 40s
% 1.15/1.13  % /export/starexec/sandbox/solver/bin/lams/40_b.comb.sh running for 70s
% 1.32/1.19  % Solved by lams/15_e_short1.sh.
% 1.32/1.19  % done 0 iterations in 0.020s
% 1.32/1.19  % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 1.32/1.19  % SZS output start Refutation
% See solution above
% 1.32/1.19  
% 1.32/1.19  
% 1.32/1.19  % Terminating...
% 1.53/1.36  % Runner terminated.
% 1.53/1.37  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------