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Zipperpin---2.1.9999.THM-Ref.s

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%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : SYO145^5 : TPTP v9.2.0. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.4o9vbHtund true

% Computer : n020.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 05:06:32 PM UTC 2025

% Result   : Theorem 0.54s 0.75s
% Output   : Refutation 0.54s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    9
%            Number of leaves      :    1
% Syntax   : Number of formulae    :   14 (   4 unt;   0 typ;   0 def)
%            Number of atoms       :   39 (   0 equ;   0 cnn)
%            Maximal formula atoms :    8 (   2 avg)
%            Number of connectives :   98 (   9   ~;   1   |;   7   &;  64   @)
%                                         (   0 <=>;   3  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   12 (   7 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :    0 (   0   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :    6 (   3 usr;   4 con; 0-2 aty)
%                                         (   4  !!;  10  ??;   0 @@+;   0 @@-)
%            Number of variables   :   33 (  14   ^;  13   !;   6   ?;  33   :)

% Comments : 
%------------------------------------------------------------------------------
thf(cP_type,type,
    cP: $i > $i > $o ).

thf('#sk2_type',type,
    '#sk2': $i > $i ).

thf('#sk1_type',type,
    '#sk1': $i ).

thf(cEXPVAR_BUG,conjecture,
    ( ! [Xx: $i] :
      ? [Xy: $i] : ( cP @ Xx @ Xy )
   => ! [Xx: $i] :
      ? [Xy: $i,Xz: $i] :
        ( ( cP @ Xy @ Xz )
        & ( cP @ Xx @ Xy ) ) ) ).

thf(zf_stmt_0,negated_conjecture,
    ~ ( ! [Xx: $i] :
        ? [Xy: $i] : ( cP @ Xx @ Xy )
     => ! [Xx: $i] :
        ? [Xy: $i,Xz: $i] :
          ( ( cP @ Xy @ Xz )
          & ( cP @ Xx @ Xy ) ) ),
    inference('cnf.neg',[status(esa)],[cEXPVAR_BUG]) ).

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

thf(zip_derived_cl1,plain,
    ( !!
    @ ^ [Y0: $i] :
        ( ??
        @ ^ [Y1: $i] : ( cP @ Y0 @ Y1 ) ) ),
    inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl0]) ).

thf(zip_derived_cl3,plain,
    ! [X2: $i] :
      ( ??
      @ ^ [Y0: $i] : ( cP @ X2 @ Y0 ) ),
    inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl1]) ).

thf(zip_derived_cl5,plain,
    ! [X2: $i] : ( cP @ X2 @ ( '#sk2' @ X2 ) ),
    inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl3]) ).

thf(zip_derived_cl2,plain,
    ~ ( !!
      @ ^ [Y0: $i] :
          ( ??
          @ ^ [Y1: $i] :
              ( ??
              @ ^ [Y2: $i] :
                  ( ( cP @ Y1 @ Y2 )
                  & ( cP @ Y0 @ Y1 ) ) ) ) ),
    inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl0]) ).

thf(zip_derived_cl4,plain,
    ~ ( ??
      @ ^ [Y0: $i] :
          ( ??
          @ ^ [Y1: $i] :
              ( ( cP @ Y0 @ Y1 )
              & ( cP @ '#sk1' @ Y0 ) ) ) ),
    inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl2]) ).

thf(zip_derived_cl6,plain,
    ! [X2: $i] :
      ~ ( ??
        @ ^ [Y0: $i] :
            ( ( cP @ X2 @ Y0 )
            & ( cP @ '#sk1' @ X2 ) ) ),
    inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl4]) ).

thf(zip_derived_cl7,plain,
    ! [X2: $i,X4: $i] :
      ~ ( ( cP @ X2 @ X4 )
        & ( cP @ '#sk1' @ X2 ) ),
    inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl6]) ).

thf(zip_derived_cl8,plain,
    ! [X2: $i,X4: $i] :
      ( ~ ( cP @ X2 @ X4 )
      | ~ ( cP @ '#sk1' @ X2 ) ),
    inference(lazy_cnf_and,[status(thm)],[zip_derived_cl7]) ).

thf(zip_derived_cl9,plain,
    ! [X0: $i] :
      ~ ( cP @ '#sk1' @ X0 ),
    inference('sup-',[status(thm)],[zip_derived_cl5,zip_derived_cl8]) ).

thf(zip_derived_cl5_001,plain,
    ! [X2: $i] : ( cP @ X2 @ ( '#sk2' @ X2 ) ),
    inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl3]) ).

thf(zip_derived_cl13,plain,
    $false,
    inference('sup+',[status(thm)],[zip_derived_cl9,zip_derived_cl5]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.14  % Problem  : SYO145^5 : TPTP v9.2.0. Released v4.0.0.
% 0.13/0.15  % Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.4o9vbHtund true
% 0.15/0.37  % Computer : n020.cluster.edu
% 0.15/0.37  % Model    : x86_64 x86_64
% 0.15/0.37  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.37  % Memory   : 8042.1875MB
% 0.15/0.37  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.15/0.37  % CPULimit : 300
% 0.15/0.37  % WCLimit  : 300
% 0.15/0.37  % DateTime : Wed Oct  1 18:01:38 EDT 2025
% 0.15/0.37  % CPUTime  : 
% 0.15/0.37  % Running portfolio for 300 s
% 0.15/0.37  % File         : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.15/0.37  % Number of cores: 8
% 0.15/0.37  % Python version: Python 3.6.8
% 0.15/0.38  % Running in HO mode
% 0.54/0.66  % Total configuration time : 828
% 0.54/0.66  % Estimated wc time : 1656
% 0.54/0.66  % Estimated cpu time (8 cpus) : 207.0
% 0.54/0.72  % /export/starexec/sandbox2/solver/bin/lams/40_c.s.sh running for 80s
% 0.54/0.72  % /export/starexec/sandbox2/solver/bin/lams/35_full_unif4.sh running for 80s
% 0.54/0.73  % /export/starexec/sandbox2/solver/bin/lams/40_c_ic.sh running for 80s
% 0.54/0.74  % /export/starexec/sandbox2/solver/bin/lams/40_noforms.sh running for 90s
% 0.54/0.74  % /export/starexec/sandbox2/solver/bin/lams/15_e_short1.sh running for 30s
% 0.54/0.75  % /export/starexec/sandbox2/solver/bin/lams/20_acsne_simpl.sh running for 40s
% 0.54/0.75  % /export/starexec/sandbox2/solver/bin/lams/40_b.comb.sh running for 70s
% 0.54/0.75  % Solved by lams/35_full_unif4.sh.
% 0.54/0.75  % done 4 iterations in 0.008s
% 0.54/0.75  % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 0.54/0.75  % SZS output start Refutation
% See solution above
% 0.54/0.75  
% 0.54/0.75  
% 0.54/0.75  % Terminating...
% 1.79/0.87  % Runner terminated.
% 1.79/0.88  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------