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Zipperpin---2.1.9999.THM-Ref.s

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%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : SYO160^5 : 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.SQZ1SbcHGn true

% Computer : n009.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 05:06:34 PM UTC 2025

% Result   : Theorem 0.42s 0.96s
% Output   : Refutation 0.42s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   13
%            Number of leaves      :    1
% Syntax   : Number of formulae    :   27 (   5 unt;   0 typ;   0 def)
%            Number of atoms       :   93 (   0 equ;   0 cnn)
%            Maximal formula atoms :   13 (   3 avg)
%            Number of connectives :  172 (  14   ~;  20   |;  16   &;  92   @)
%                                         (   0 <=>;  15  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    9 (   5 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :    0 (   0   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :    8 (   6 usr;   5 con; 0-1 aty)
%                                         (  15  !!;   0  ??;   0 @@+;   0 @@-)
%            Number of variables   :   42 (  15   ^;  27   !;   0   ?;  42   :)

% Comments : 
%------------------------------------------------------------------------------
thf(cQ_type,type,
    cQ: $i > $o ).

thf(c_type,type,
    c: $i ).

thf(b_type,type,
    b: $i ).

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

thf(a_type,type,
    a: $i ).

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

thf(cDISJ_THIRD,conjecture,
    ( ( ! [Xx: $i] :
          ( ( cQ @ Xx )
         => ( cR @ Xx ) )
      & ! [Xx: $i] :
          ( ( cP @ Xx )
         => ( cR @ Xx ) )
      & ( ! [Xx: $i] : ( cQ @ Xx )
        | ! [Xx: $i] : ( cP @ Xx ) ) )
   => ( ( cR @ c )
      & ( cR @ b )
      & ( cR @ a ) ) ) ).

thf(zf_stmt_0,negated_conjecture,
    ~ ( ( ! [Xx: $i] :
            ( ( cQ @ Xx )
           => ( cR @ Xx ) )
        & ! [Xx: $i] :
            ( ( cP @ Xx )
           => ( cR @ Xx ) )
        & ( ! [Xx: $i] : ( cQ @ Xx )
          | ! [Xx: $i] : ( cP @ Xx ) ) )
     => ( ( cR @ c )
        & ( cR @ b )
        & ( cR @ a ) ) ),
    inference('cnf.neg',[status(esa)],[cDISJ_THIRD]) ).

thf(zip_derived_cl0,plain,
    ~ ( ( ( !!
          @ ^ [Y0: $i] :
              ( ( cQ @ Y0 )
             => ( cR @ Y0 ) ) )
        & ( !!
          @ ^ [Y0: $i] :
              ( ( cP @ Y0 )
             => ( cR @ Y0 ) ) )
        & ( ( !!
            @ ^ [Y0: $i] : ( cQ @ Y0 ) )
          | ( !!
            @ ^ [Y0: $i] : ( cP @ Y0 ) ) ) )
     => ( ( cR @ c )
        & ( cR @ b )
        & ( cR @ a ) ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl2,plain,
    ~ ( ( cR @ c )
      & ( cR @ b )
      & ( cR @ a ) ),
    inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl0]) ).

thf(zip_derived_cl6,plain,
    ( ~ ( cR @ c )
    | ~ ( cR @ b )
    | ~ ( cR @ a ) ),
    inference(lazy_cnf_and,[status(thm)],[zip_derived_cl2]) ).

thf(zip_derived_cl1,plain,
    ( ( !!
      @ ^ [Y0: $i] :
          ( ( cQ @ Y0 )
         => ( cR @ Y0 ) ) )
    & ( !!
      @ ^ [Y0: $i] :
          ( ( cP @ Y0 )
         => ( cR @ Y0 ) ) )
    & ( ( !!
        @ ^ [Y0: $i] : ( cQ @ Y0 ) )
      | ( !!
        @ ^ [Y0: $i] : ( cP @ Y0 ) ) ) ),
    inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl0]) ).

thf(zip_derived_cl4,plain,
    ( !!
    @ ^ [Y0: $i] :
        ( ( cP @ Y0 )
       => ( cR @ Y0 ) ) ),
    inference(lazy_cnf_and,[status(thm)],[zip_derived_cl1]) ).

thf(zip_derived_cl8,plain,
    ! [X2: $i] :
      ( ( cP @ X2 )
     => ( cR @ X2 ) ),
    inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl4]) ).

thf(zip_derived_cl11,plain,
    ! [X2: $i] :
      ( ~ ( cP @ X2 )
      | ( cR @ X2 ) ),
    inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl8]) ).

thf(zip_derived_cl5,plain,
    ( ( !!
      @ ^ [Y0: $i] : ( cQ @ Y0 ) )
    | ( !!
      @ ^ [Y0: $i] : ( cP @ Y0 ) ) ),
    inference(lazy_cnf_and,[status(thm)],[zip_derived_cl1]) ).

thf(zip_derived_cl9,plain,
    ( ( !!
      @ ^ [Y0: $i] : ( cQ @ Y0 ) )
    | ( !!
      @ ^ [Y0: $i] : ( cP @ Y0 ) ) ),
    inference(lazy_cnf_or,[status(thm)],[zip_derived_cl5]) ).

thf(zip_derived_cl12,plain,
    ! [X2: $i] :
      ( ( cQ @ X2 )
      | ( !!
        @ ^ [Y0: $i] : ( cP @ Y0 ) ) ),
    inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl9]) ).

thf(zip_derived_cl13,plain,
    ! [X2: $i,X4: $i] :
      ( ( cP @ X4 )
      | ( cQ @ X2 ) ),
    inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl12]) ).

thf(zip_derived_cl3,plain,
    ( !!
    @ ^ [Y0: $i] :
        ( ( cQ @ Y0 )
       => ( cR @ Y0 ) ) ),
    inference(lazy_cnf_and,[status(thm)],[zip_derived_cl1]) ).

thf(zip_derived_cl7,plain,
    ! [X2: $i] :
      ( ( cQ @ X2 )
     => ( cR @ X2 ) ),
    inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl3]) ).

thf(zip_derived_cl10,plain,
    ! [X2: $i] :
      ( ~ ( cQ @ X2 )
      | ( cR @ X2 ) ),
    inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl7]) ).

thf(zip_derived_cl14,plain,
    ! [X0: $i,X1: $i] :
      ( ( cP @ X1 )
      | ( cR @ X0 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl13,zip_derived_cl10]) ).

thf(zip_derived_cl6_001,plain,
    ( ~ ( cR @ c )
    | ~ ( cR @ b )
    | ~ ( cR @ a ) ),
    inference(lazy_cnf_and,[status(thm)],[zip_derived_cl2]) ).

thf(zip_derived_cl22,plain,
    ! [X0: $i] :
      ( ( cP @ X0 )
      | ~ ( cR @ b )
      | ~ ( cR @ c ) ),
    inference('sup-',[status(thm)],[zip_derived_cl14,zip_derived_cl6]) ).

thf(zip_derived_cl14_002,plain,
    ! [X0: $i,X1: $i] :
      ( ( cP @ X1 )
      | ( cR @ X0 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl13,zip_derived_cl10]) ).

thf(zip_derived_cl38,plain,
    ! [X0: $i] :
      ( ~ ( cR @ c )
      | ( cP @ X0 ) ),
    inference(clc,[status(thm)],[zip_derived_cl22,zip_derived_cl14]) ).

thf(zip_derived_cl14_003,plain,
    ! [X0: $i,X1: $i] :
      ( ( cP @ X1 )
      | ( cR @ X0 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl13,zip_derived_cl10]) ).

thf(zip_derived_cl39,plain,
    ! [X0: $i] : ( cP @ X0 ),
    inference(clc,[status(thm)],[zip_derived_cl38,zip_derived_cl14]) ).

thf(zip_derived_cl40,plain,
    ! [X2: $i] : ( cR @ X2 ),
    inference(demod,[status(thm)],[zip_derived_cl11,zip_derived_cl39]) ).

thf(zip_derived_cl40_004,plain,
    ! [X2: $i] : ( cR @ X2 ),
    inference(demod,[status(thm)],[zip_derived_cl11,zip_derived_cl39]) ).

thf(zip_derived_cl40_005,plain,
    ! [X2: $i] : ( cR @ X2 ),
    inference(demod,[status(thm)],[zip_derived_cl11,zip_derived_cl39]) ).

thf(zip_derived_cl41,plain,
    $false,
    inference(demod,[status(thm)],[zip_derived_cl6,zip_derived_cl40,zip_derived_cl40,zip_derived_cl40]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.20  % Problem  : SYO160^5 : TPTP v9.2.0. Released v4.0.0.
% 0.06/0.22  % Command  : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.SQZ1SbcHGn true
% 0.12/0.44  % Computer : n009.cluster.edu
% 0.12/0.44  % Model    : x86_64 x86_64
% 0.12/0.44  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.44  % Memory   : 8042.1875MB
% 0.12/0.44  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.44  % CPULimit : 300
% 0.12/0.44  % WCLimit  : 300
% 0.12/0.44  % DateTime : Wed Oct  1 18:00:08 EDT 2025
% 0.12/0.44  % CPUTime  : 
% 0.12/0.44  % Running portfolio for 300 s
% 0.12/0.44  % File         : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.12/0.45  % Number of cores: 8
% 0.12/0.46  % Python version: Python 3.6.8
% 0.12/0.46  % Running in HO mode
% 0.41/0.72  % Total configuration time : 828
% 0.41/0.72  % Estimated wc time : 1656
% 0.41/0.72  % Estimated cpu time (8 cpus) : 207.0
% 0.41/0.89  % /export/starexec/sandbox/solver/bin/lams/40_c.s.sh running for 80s
% 0.41/0.89  % /export/starexec/sandbox/solver/bin/lams/40_c_ic.sh running for 80s
% 0.41/0.90  % /export/starexec/sandbox/solver/bin/lams/40_noforms.sh running for 90s
% 0.41/0.90  % /export/starexec/sandbox/solver/bin/lams/40_b.comb.sh running for 70s
% 0.41/0.90  % /export/starexec/sandbox/solver/bin/lams/15_e_short1.sh running for 30s
% 0.41/0.90  % /export/starexec/sandbox/solver/bin/lams/35_full_unif4.sh running for 80s
% 0.41/0.90  % /export/starexec/sandbox/solver/bin/lams/30_sp5.sh running for 60s
% 0.41/0.92  % /export/starexec/sandbox/solver/bin/lams/20_acsne_simpl.sh running for 40s
% 0.42/0.96  % Solved by lams/30_sp5.sh.
% 0.42/0.96  % done 9 iterations in 0.018s
% 0.42/0.96  % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 0.42/0.96  % SZS output start Refutation
% See solution above
% 0.42/0.96  
% 0.42/0.96  
% 0.42/0.96  % Terminating...
% 0.42/1.06  % Runner terminated.
% 0.42/1.07  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------