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Zipperpin---2.1.9999.THM-Ref.s

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%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : SYN056^5 : 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.Zs1bROhCYq true

% Computer : n026.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 0.48s 0.73s
% Output   : Refutation 0.48s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   15
%            Number of leaves      :    1
% Syntax   : Number of formulae    :   48 (  14 unt;   0 typ;   0 def)
%            Number of atoms       :  132 (   0 equ;   0 cnn)
%            Maximal formula atoms :   18 (   2 avg)
%            Number of connectives :  259 (  44   ~;  50   |;  10   &; 131   @)
%                                         (   0 <=>;  24  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   11 (   4 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :    0 (   0   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :    9 (   8 usr;   5 con; 0-1 aty)
%            Number of variables   :   47 (   0   ^;  39   !;   8   ?;  47   :)

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

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

thf(cS_type,type,
    cS: $i > $o ).

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

thf(sk__3_type,type,
    sk__3: $i ).

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

thf(sk__2_type,type,
    sk__2: $i ).

thf(sk__type,type,
    sk_: $i ).

thf(cPELL26,conjecture,
    ( ( ( ? [Xx: $i] : ( cP @ Xx )
       => ? [Xx: $i] : ( cQ @ Xx ) )
      & ( ? [Xx: $i] : ( cQ @ Xx )
       => ? [Xx: $i] : ( cP @ Xx ) )
      & ! [Xx: $i,Xy: $i] :
          ( ( ( cP @ Xx )
            & ( cQ @ Xy ) )
         => ( ( ( cR @ Xx )
             => ( cS @ Xy ) )
            & ( ( cS @ Xy )
             => ( cR @ Xx ) ) ) ) )
   => ( ( ! [Xx: $i] :
            ( ( cP @ Xx )
           => ( cR @ Xx ) )
       => ! [Xx: $i] :
            ( ( cQ @ Xx )
           => ( cS @ Xx ) ) )
      & ( ! [Xx: $i] :
            ( ( cQ @ Xx )
           => ( cS @ Xx ) )
       => ! [Xx: $i] :
            ( ( cP @ Xx )
           => ( cR @ Xx ) ) ) ) ) ).

thf(zf_stmt_0,negated_conjecture,
    ~ ( ( ( ? [Xx: $i] : ( cP @ Xx )
         => ? [Xx: $i] : ( cQ @ Xx ) )
        & ( ? [Xx: $i] : ( cQ @ Xx )
         => ? [Xx: $i] : ( cP @ Xx ) )
        & ! [Xx: $i,Xy: $i] :
            ( ( ( cP @ Xx )
              & ( cQ @ Xy ) )
           => ( ( ( cR @ Xx )
               => ( cS @ Xy ) )
              & ( ( cS @ Xy )
               => ( cR @ Xx ) ) ) ) )
     => ( ( ! [Xx: $i] :
              ( ( cP @ Xx )
             => ( cR @ Xx ) )
         => ! [Xx: $i] :
              ( ( cQ @ Xx )
             => ( cS @ Xx ) ) )
        & ( ! [Xx: $i] :
              ( ( cQ @ Xx )
             => ( cS @ Xx ) )
         => ! [Xx: $i] :
              ( ( cP @ Xx )
             => ( cR @ Xx ) ) ) ) ),
    inference('cnf.neg',[status(esa)],[cPELL26]) ).

thf(zip_derived_cl4,plain,
    ( ( cQ @ sk_ )
    | ( cP @ sk__1 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl1,plain,
    ! [X1: $i] :
      ( ( cP @ sk__2 )
      | ~ ( cQ @ X1 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl13,plain,
    ( ( cP @ sk__1 )
    | ( cP @ sk__2 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl4,zip_derived_cl1]) ).

thf(zip_derived_cl0,plain,
    ! [X0: $i] :
      ( ( cQ @ sk__3 )
      | ~ ( cP @ X0 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl15,plain,
    ( ( cP @ sk__1 )
    | ( cQ @ sk__3 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl13,zip_derived_cl0]) ).

thf(zip_derived_cl0_001,plain,
    ! [X0: $i] :
      ( ( cQ @ sk__3 )
      | ~ ( cP @ X0 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl17,plain,
    cQ @ sk__3,
    inference(clc,[status(thm)],[zip_derived_cl15,zip_derived_cl0]) ).

thf(zip_derived_cl4_002,plain,
    ( ( cQ @ sk_ )
    | ( cP @ sk__1 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl17_003,plain,
    cQ @ sk__3,
    inference(clc,[status(thm)],[zip_derived_cl15,zip_derived_cl0]) ).

thf(zip_derived_cl1_004,plain,
    ! [X1: $i] :
      ( ( cP @ sk__2 )
      | ~ ( cQ @ X1 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl18,plain,
    cP @ sk__2,
    inference('sup-',[status(thm)],[zip_derived_cl17,zip_derived_cl1]) ).

thf(zip_derived_cl3,plain,
    ! [X2: $i,X3: $i] :
      ( ~ ( cP @ X2 )
      | ~ ( cQ @ X3 )
      | ( cS @ X3 )
      | ~ ( cR @ X2 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl30,plain,
    ! [X0: $i] :
      ( ~ ( cR @ sk__2 )
      | ( cS @ X0 )
      | ~ ( cQ @ X0 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl18,zip_derived_cl3]) ).

thf(zip_derived_cl18_005,plain,
    cP @ sk__2,
    inference('sup-',[status(thm)],[zip_derived_cl17,zip_derived_cl1]) ).

thf(zip_derived_cl10,plain,
    ! [X5: $i] :
      ( ~ ( cP @ X5 )
      | ( cR @ X5 )
      | ( cP @ sk__1 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl40,plain,
    ( ( cP @ sk__1 )
    | ( cR @ sk__2 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl18,zip_derived_cl10]) ).

thf(zip_derived_cl45,plain,
    ! [X0: $i] :
      ( ~ ( cQ @ X0 )
      | ( cS @ X0 )
      | ( cP @ sk__1 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl30,zip_derived_cl40]) ).

thf(zip_derived_cl65,plain,
    ( ( cP @ sk__1 )
    | ( cP @ sk__1 )
    | ( cS @ sk_ ) ),
    inference('sup-',[status(thm)],[zip_derived_cl4,zip_derived_cl45]) ).

thf(zip_derived_cl68,plain,
    ( ( cS @ sk_ )
    | ( cP @ sk__1 ) ),
    inference(simplify,[status(thm)],[zip_derived_cl65]) ).

thf(zip_derived_cl7,plain,
    ( ~ ( cS @ sk_ )
    | ( cP @ sk__1 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl84,plain,
    cP @ sk__1,
    inference(clc,[status(thm)],[zip_derived_cl68,zip_derived_cl7]) ).

thf(zip_derived_cl2,plain,
    ! [X2: $i,X3: $i] :
      ( ~ ( cP @ X2 )
      | ~ ( cQ @ X3 )
      | ( cR @ X2 )
      | ~ ( cS @ X3 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl85,plain,
    ! [X0: $i] :
      ( ~ ( cS @ X0 )
      | ( cR @ sk__1 )
      | ~ ( cQ @ X0 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl84,zip_derived_cl2]) ).

thf(zip_derived_cl30_006,plain,
    ! [X0: $i] :
      ( ~ ( cR @ sk__2 )
      | ( cS @ X0 )
      | ~ ( cQ @ X0 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl18,zip_derived_cl3]) ).

thf(zip_derived_cl18_007,plain,
    cP @ sk__2,
    inference('sup-',[status(thm)],[zip_derived_cl17,zip_derived_cl1]) ).

thf(zip_derived_cl17_008,plain,
    cQ @ sk__3,
    inference(clc,[status(thm)],[zip_derived_cl15,zip_derived_cl0]) ).

thf(zip_derived_cl12,plain,
    ! [X4: $i,X5: $i] :
      ( ~ ( cP @ X5 )
      | ( cR @ X5 )
      | ( cS @ X4 )
      | ~ ( cQ @ X4 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl3_009,plain,
    ! [X2: $i,X3: $i] :
      ( ~ ( cP @ X2 )
      | ~ ( cQ @ X3 )
      | ( cS @ X3 )
      | ~ ( cR @ X2 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl70,plain,
    ! [X4: $i,X5: $i] :
      ( ~ ( cQ @ X4 )
      | ( cS @ X4 )
      | ~ ( cP @ X5 ) ),
    inference(clc,[status(thm)],[zip_derived_cl12,zip_derived_cl3]) ).

thf(zip_derived_cl71,plain,
    ! [X0: $i] :
      ( ~ ( cP @ X0 )
      | ( cS @ sk__3 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl17,zip_derived_cl70]) ).

thf(zip_derived_cl75,plain,
    cS @ sk__3,
    inference('sup-',[status(thm)],[zip_derived_cl18,zip_derived_cl71]) ).

thf(zip_derived_cl18_010,plain,
    cP @ sk__2,
    inference('sup-',[status(thm)],[zip_derived_cl17,zip_derived_cl1]) ).

thf(zip_derived_cl2_011,plain,
    ! [X2: $i,X3: $i] :
      ( ~ ( cP @ X2 )
      | ~ ( cQ @ X3 )
      | ( cR @ X2 )
      | ~ ( cS @ X3 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl24,plain,
    ! [X0: $i] :
      ( ~ ( cS @ X0 )
      | ( cR @ sk__2 )
      | ~ ( cQ @ X0 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl18,zip_derived_cl2]) ).

thf(zip_derived_cl77,plain,
    ( ~ ( cQ @ sk__3 )
    | ( cR @ sk__2 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl75,zip_derived_cl24]) ).

thf(zip_derived_cl17_012,plain,
    cQ @ sk__3,
    inference(clc,[status(thm)],[zip_derived_cl15,zip_derived_cl0]) ).

thf(zip_derived_cl79,plain,
    cR @ sk__2,
    inference(demod,[status(thm)],[zip_derived_cl77,zip_derived_cl17]) ).

thf(zip_derived_cl81,plain,
    ! [X0: $i] :
      ( ( cS @ X0 )
      | ~ ( cQ @ X0 ) ),
    inference(demod,[status(thm)],[zip_derived_cl30,zip_derived_cl79]) ).

thf(zip_derived_cl91,plain,
    ! [X0: $i] :
      ( ~ ( cQ @ X0 )
      | ( cR @ sk__1 ) ),
    inference(clc,[status(thm)],[zip_derived_cl85,zip_derived_cl81]) ).

thf(zip_derived_cl81_013,plain,
    ! [X0: $i] :
      ( ( cS @ X0 )
      | ~ ( cQ @ X0 ) ),
    inference(demod,[status(thm)],[zip_derived_cl30,zip_derived_cl79]) ).

thf(zip_derived_cl8,plain,
    ( ~ ( cS @ sk_ )
    | ~ ( cR @ sk__1 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl88,plain,
    ( ~ ( cQ @ sk_ )
    | ~ ( cR @ sk__1 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl81,zip_derived_cl8]) ).

thf(zip_derived_cl5,plain,
    ( ( cQ @ sk_ )
    | ~ ( cR @ sk__1 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl90,plain,
    ~ ( cR @ sk__1 ),
    inference(clc,[status(thm)],[zip_derived_cl88,zip_derived_cl5]) ).

thf(zip_derived_cl92,plain,
    ! [X0: $i] :
      ~ ( cQ @ X0 ),
    inference(clc,[status(thm)],[zip_derived_cl91,zip_derived_cl90]) ).

thf(zip_derived_cl93,plain,
    $false,
    inference('sup-',[status(thm)],[zip_derived_cl17,zip_derived_cl92]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.09  % Problem  : SYN056^5 : TPTP v9.2.0. Released v4.0.0.
% 0.07/0.10  % Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.Zs1bROhCYq true
% 0.10/0.30  % Computer : n026.cluster.edu
% 0.10/0.30  % Model    : x86_64 x86_64
% 0.10/0.30  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.30  % Memory   : 8042.1875MB
% 0.10/0.30  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.10/0.30  % CPULimit : 300
% 0.10/0.30  % WCLimit  : 300
% 0.10/0.30  % DateTime : Wed Oct  1 13:41:08 EDT 2025
% 0.10/0.30  % CPUTime  : 
% 0.10/0.30  % Running portfolio for 300 s
% 0.10/0.30  % File         : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.10/0.31  % Number of cores: 8
% 0.10/0.31  % Python version: Python 3.6.8
% 0.10/0.31  % Running in HO mode
% 0.44/0.55  % Total configuration time : 828
% 0.44/0.55  % Estimated wc time : 1656
% 0.44/0.55  % Estimated cpu time (8 cpus) : 207.0
% 0.46/0.67  % /export/starexec/sandbox2/solver/bin/lams/35_full_unif4.sh running for 80s
% 0.46/0.67  % /export/starexec/sandbox2/solver/bin/lams/40_c.s.sh running for 80s
% 0.46/0.67  % /export/starexec/sandbox2/solver/bin/lams/40_c_ic.sh running for 80s
% 0.46/0.67  % /export/starexec/sandbox2/solver/bin/lams/40_noforms.sh running for 90s
% 0.46/0.68  % /export/starexec/sandbox2/solver/bin/lams/15_e_short1.sh running for 30s
% 0.48/0.68  % /export/starexec/sandbox2/solver/bin/lams/40_b.comb.sh running for 70s
% 0.48/0.68  % /export/starexec/sandbox2/solver/bin/lams/20_acsne_simpl.sh running for 40s
% 0.48/0.71  % /export/starexec/sandbox2/solver/bin/lams/30_sp5.sh running for 60s
% 0.48/0.73  % Solved by lams/40_c.s.sh.
% 0.48/0.73  % done 42 iterations in 0.036s
% 0.48/0.73  % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 0.48/0.73  % SZS output start Refutation
% See solution above
% 0.48/0.73  
% 0.48/0.73  
% 0.48/0.73  % Terminating...
% 1.74/0.77  % Runner terminated.
% 1.74/0.79  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------