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Zipperpin---2.1.9999.THM-Ref.s

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%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : SYN057^5 : 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.0Mjacp7wGd true

% Computer : n008.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 05:03:52 PM UTC 2025

% Result   : Theorem 0.56s 0.74s
% Output   : Refutation 0.56s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   14
%            Number of leaves      :    1
% Syntax   : Number of formulae    :   35 (  10 unt;   0 typ;   0 def)
%            Number of atoms       :  159 (   0 equ;  19 cnn)
%            Maximal formula atoms :   23 (   4 avg)
%            Number of connectives :  312 (  49   ~;  18   |;  32   &; 158   @)
%                                         (   0 <=>;  34  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   11 (   5 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :    0 (   0   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   11 (   7 usr;   6 con; 0-1 aty)
%                                         (  14  !!;   7  ??;   0 @@+;   0 @@-)
%            Number of variables   :   47 (  21   ^;  22   !;   4   ?;  47   :)

% Comments : 
%------------------------------------------------------------------------------
thf('#sk2_type',type,
    '#sk2': $i ).

thf(cF_type,type,
    cF: $i > $o ).

thf(cI_type,type,
    cI: $i > $o ).

thf(cH_type,type,
    cH: $i > $o ).

thf(cG_type,type,
    cG: $i > $o ).

thf(cJ_type,type,
    cJ: $i > $o ).

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

thf(cPELL27,conjecture,
    ( ( ( ? [Xx: $i] :
            ( ( cH @ Xx )
            & ~ ( cG @ Xx ) )
       => ! [Xx: $i] :
            ( ( cI @ Xx )
           => ~ ( cH @ Xx ) ) )
      & ! [Xx: $i] :
          ( ( ( cI @ Xx )
            & ( cJ @ Xx ) )
         => ( cF @ Xx ) )
      & ! [Xx: $i] :
          ( ( cF @ Xx )
         => ( cH @ Xx ) )
      & ? [Xx: $i] :
          ( ( cF @ Xx )
          & ~ ( cG @ Xx ) ) )
   => ! [Xx: $i] :
        ( ( cJ @ Xx )
       => ~ ( cI @ Xx ) ) ) ).

thf(zf_stmt_0,negated_conjecture,
    ~ ( ( ( ? [Xx: $i] :
              ( ( cH @ Xx )
              & ~ ( cG @ Xx ) )
         => ! [Xx: $i] :
              ( ( cI @ Xx )
             => ~ ( cH @ Xx ) ) )
        & ! [Xx: $i] :
            ( ( ( cI @ Xx )
              & ( cJ @ Xx ) )
           => ( cF @ Xx ) )
        & ! [Xx: $i] :
            ( ( cF @ Xx )
           => ( cH @ Xx ) )
        & ? [Xx: $i] :
            ( ( cF @ Xx )
            & ~ ( cG @ Xx ) ) )
     => ! [Xx: $i] :
          ( ( cJ @ Xx )
         => ~ ( cI @ Xx ) ) ),
    inference('cnf.neg',[status(esa)],[cPELL27]) ).

thf(zip_derived_cl0,plain,
    ~ ( ( ( ( ??
            @ ^ [Y0: $i] :
                ( ( cH @ Y0 )
                & ( (~) @ ( cG @ Y0 ) ) ) )
         => ( !!
            @ ^ [Y0: $i] :
                ( ( cI @ Y0 )
               => ( (~) @ ( cH @ Y0 ) ) ) ) )
        & ( !!
          @ ^ [Y0: $i] :
              ( ( ( cI @ Y0 )
                & ( cJ @ Y0 ) )
             => ( cF @ Y0 ) ) )
        & ( !!
          @ ^ [Y0: $i] :
              ( ( cF @ Y0 )
             => ( cH @ Y0 ) ) )
        & ( ??
          @ ^ [Y0: $i] :
              ( ( cF @ Y0 )
              & ( (~) @ ( cG @ Y0 ) ) ) ) )
     => ( !!
        @ ^ [Y0: $i] :
            ( ( cJ @ Y0 )
           => ( (~) @ ( cI @ Y0 ) ) ) ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl1,plain,
    ( ( ( ??
        @ ^ [Y0: $i] :
            ( ( cH @ Y0 )
            & ( (~) @ ( cG @ Y0 ) ) ) )
     => ( !!
        @ ^ [Y0: $i] :
            ( ( cI @ Y0 )
           => ( (~) @ ( cH @ Y0 ) ) ) ) )
    & ( !!
      @ ^ [Y0: $i] :
          ( ( ( cI @ Y0 )
            & ( cJ @ Y0 ) )
         => ( cF @ Y0 ) ) )
    & ( !!
      @ ^ [Y0: $i] :
          ( ( cF @ Y0 )
         => ( cH @ Y0 ) ) )
    & ( ??
      @ ^ [Y0: $i] :
          ( ( cF @ Y0 )
          & ( (~) @ ( cG @ Y0 ) ) ) ) ),
    inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl0]) ).

thf(zip_derived_cl6,plain,
    ( ??
    @ ^ [Y0: $i] :
        ( ( cF @ Y0 )
        & ( (~) @ ( cG @ Y0 ) ) ) ),
    inference(lazy_cnf_and,[status(thm)],[zip_derived_cl1]) ).

thf(zip_derived_cl11,plain,
    ( ( cF @ '#sk2' )
    & ( (~) @ ( cG @ '#sk2' ) ) ),
    inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl6]) ).

thf(zip_derived_cl18,plain,
    ~ ( cG @ '#sk2' ),
    inference(lazy_cnf_and,[status(thm)],[zip_derived_cl11]) ).

thf(zip_derived_cl2,plain,
    ~ ( !!
      @ ^ [Y0: $i] :
          ( ( cJ @ Y0 )
         => ( (~) @ ( cI @ Y0 ) ) ) ),
    inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl0]) ).

thf(zip_derived_cl7,plain,
    ~ ( ( cJ @ '#sk1' )
     => ( (~) @ ( cI @ '#sk1' ) ) ),
    inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl2]) ).

thf(zip_derived_cl12,plain,
    cJ @ '#sk1',
    inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl7]) ).

thf(zip_derived_cl4,plain,
    ( !!
    @ ^ [Y0: $i] :
        ( ( ( cI @ Y0 )
          & ( cJ @ Y0 ) )
       => ( cF @ Y0 ) ) ),
    inference(lazy_cnf_and,[status(thm)],[zip_derived_cl1]) ).

thf(zip_derived_cl9,plain,
    ! [X2: $i] :
      ( ( ( cI @ X2 )
        & ( cJ @ X2 ) )
     => ( cF @ X2 ) ),
    inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl4]) ).

thf(zip_derived_cl15,plain,
    ! [X2: $i] :
      ( ~ ( ( cI @ X2 )
          & ( cJ @ X2 ) )
      | ( cF @ X2 ) ),
    inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl9]) ).

thf(zip_derived_cl20,plain,
    ! [X2: $i] :
      ( ~ ( cI @ X2 )
      | ~ ( cJ @ X2 )
      | ( cF @ X2 ) ),
    inference(lazy_cnf_and,[status(thm)],[zip_derived_cl15]) ).

thf(zip_derived_cl28,plain,
    ( ( cF @ '#sk1' )
    | ~ ( cI @ '#sk1' ) ),
    inference('sup-',[status(thm)],[zip_derived_cl12,zip_derived_cl20]) ).

thf(zip_derived_cl13,plain,
    cI @ '#sk1',
    inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl7]) ).

thf(zip_derived_cl31,plain,
    cF @ '#sk1',
    inference(demod,[status(thm)],[zip_derived_cl28,zip_derived_cl13]) ).

thf(zip_derived_cl5,plain,
    ( !!
    @ ^ [Y0: $i] :
        ( ( cF @ Y0 )
       => ( cH @ Y0 ) ) ),
    inference(lazy_cnf_and,[status(thm)],[zip_derived_cl1]) ).

thf(zip_derived_cl10,plain,
    ! [X2: $i] :
      ( ( cF @ X2 )
     => ( cH @ X2 ) ),
    inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl5]) ).

thf(zip_derived_cl16,plain,
    ! [X2: $i] :
      ( ~ ( cF @ X2 )
      | ( cH @ X2 ) ),
    inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl10]) ).

thf(zip_derived_cl35,plain,
    cH @ '#sk1',
    inference('sup-',[status(thm)],[zip_derived_cl31,zip_derived_cl16]) ).

thf(zip_derived_cl3,plain,
    ( ( ??
      @ ^ [Y0: $i] :
          ( ( cH @ Y0 )
          & ( (~) @ ( cG @ Y0 ) ) ) )
   => ( !!
      @ ^ [Y0: $i] :
          ( ( cI @ Y0 )
         => ( (~) @ ( cH @ Y0 ) ) ) ) ),
    inference(lazy_cnf_and,[status(thm)],[zip_derived_cl1]) ).

thf(zip_derived_cl8,plain,
    ( ~ ( ??
        @ ^ [Y0: $i] :
            ( ( cH @ Y0 )
            & ( (~) @ ( cG @ Y0 ) ) ) )
    | ( !!
      @ ^ [Y0: $i] :
          ( ( cI @ Y0 )
         => ( (~) @ ( cH @ Y0 ) ) ) ) ),
    inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl3]) ).

thf(zip_derived_cl14,plain,
    ! [X2: $i] :
      ( ~ ( ( cH @ X2 )
          & ( (~) @ ( cG @ X2 ) ) )
      | ( !!
        @ ^ [Y0: $i] :
            ( ( cI @ Y0 )
           => ( (~) @ ( cH @ Y0 ) ) ) ) ),
    inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl8]) ).

thf(zip_derived_cl19,plain,
    ! [X2: $i] :
      ( ~ ( cH @ X2 )
      | ( cG @ X2 )
      | ( !!
        @ ^ [Y0: $i] :
            ( ( cI @ Y0 )
           => ( (~) @ ( cH @ Y0 ) ) ) ) ),
    inference(lazy_cnf_and,[status(thm)],[zip_derived_cl14]) ).

thf(zip_derived_cl21,plain,
    ! [X2: $i,X4: $i] :
      ( ( ( cI @ X4 )
       => ( (~) @ ( cH @ X4 ) ) )
      | ( cG @ X2 )
      | ~ ( cH @ X2 ) ),
    inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl19]) ).

thf(zip_derived_cl22,plain,
    ! [X2: $i,X4: $i] :
      ( ~ ( cI @ X4 )
      | ~ ( cH @ X4 )
      | ~ ( cH @ X2 )
      | ( cG @ X2 ) ),
    inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl21]) ).

thf(zip_derived_cl41,plain,
    ! [X0: $i] :
      ( ( cG @ X0 )
      | ~ ( cH @ X0 )
      | ~ ( cI @ '#sk1' ) ),
    inference('sup-',[status(thm)],[zip_derived_cl35,zip_derived_cl22]) ).

thf(zip_derived_cl13_001,plain,
    cI @ '#sk1',
    inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl7]) ).

thf(zip_derived_cl43,plain,
    ! [X0: $i] :
      ( ( cG @ X0 )
      | ~ ( cH @ X0 ) ),
    inference(demod,[status(thm)],[zip_derived_cl41,zip_derived_cl13]) ).

thf(zip_derived_cl46,plain,
    ~ ( cH @ '#sk2' ),
    inference('sup+',[status(thm)],[zip_derived_cl18,zip_derived_cl43]) ).

thf(zip_derived_cl16_002,plain,
    ! [X2: $i] :
      ( ~ ( cF @ X2 )
      | ( cH @ X2 ) ),
    inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl10]) ).

thf(zip_derived_cl17,plain,
    cF @ '#sk2',
    inference(lazy_cnf_and,[status(thm)],[zip_derived_cl11]) ).

thf(zip_derived_cl23,plain,
    cH @ '#sk2',
    inference('sup+',[status(thm)],[zip_derived_cl16,zip_derived_cl17]) ).

thf(zip_derived_cl49,plain,
    $false,
    inference(demod,[status(thm)],[zip_derived_cl46,zip_derived_cl23]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.13  % Problem  : SYN057^5 : TPTP v9.2.0. Released v4.0.0.
% 0.08/0.14  % Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.0Mjacp7wGd true
% 0.13/0.35  % Computer : n008.cluster.edu
% 0.13/0.35  % Model    : x86_64 x86_64
% 0.13/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35  % Memory   : 8042.1875MB
% 0.13/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35  % CPULimit : 300
% 0.13/0.35  % WCLimit  : 300
% 0.13/0.35  % DateTime : Wed Oct  1 13:27:38 EDT 2025
% 0.13/0.35  % CPUTime  : 
% 0.13/0.35  % Running portfolio for 300 s
% 0.13/0.35  % File         : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.13/0.35  % Number of cores: 8
% 0.13/0.35  % Python version: Python 3.6.8
% 0.13/0.36  % Running in HO mode
% 0.56/0.67  % Total configuration time : 828
% 0.56/0.67  % Estimated wc time : 1656
% 0.56/0.67  % Estimated cpu time (8 cpus) : 207.0
% 0.56/0.71  % /export/starexec/sandbox2/solver/bin/lams/40_c.s.sh running for 80s
% 0.56/0.71  % /export/starexec/sandbox2/solver/bin/lams/35_full_unif4.sh running for 80s
% 0.56/0.74  % Solved by lams/35_full_unif4.sh.
% 0.56/0.74  % done 19 iterations in 0.012s
% 0.56/0.74  % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 0.56/0.74  % SZS output start Refutation
% See solution above
% 0.56/0.74  
% 0.56/0.74  
% 0.56/0.74  % /export/starexec/sandbox2/solver/bin/lams/40_c_ic.sh running for 80s
% 0.56/0.74  % Terminating...
% 1.69/0.86  % Runner terminated.
% 1.71/0.88  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------