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Zipperpin---2.1.9999.THM-Ref.s

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%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : SEV197^5 : 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.9tF6w7yOtN true

% Computer : n016.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 04:57:21 PM UTC 2025

% Result   : Theorem 0.63s 0.78s
% Output   : Refutation 0.63s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   10
%            Number of leaves      :    1
% Syntax   : Number of formulae    :   29 (  17 unt;   0 typ;   0 def)
%            Number of atoms       :   55 (  54 equ;   0 cnn)
%            Maximal formula atoms :    8 (   1 avg)
%            Number of connectives :  162 (  22   ~;  12   |;  14   &; 104   @)
%                                         (   0 <=>;  10  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   14 (   3 avg)
%            Number of types       :    2 (   1 usr)
%            Number of type conns  :    2 (   2   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   12 (  10 usr;   8 con; 0-2 aty)
%            Number of variables   :   54 (   0   ^;  54   !;   0   ?;  54   :)

% Comments : 
%------------------------------------------------------------------------------
thf(iS_type,type,
    iS: $tType ).

thf(sk__4_type,type,
    sk__4: iS ).

thf('#_fresh_sk23_type',type,
    '#_fresh_sk23': iS > iS ).

thf(sk__5_type,type,
    sk__5: iS ).

thf(cP_type,type,
    cP: iS > iS > iS ).

thf(sk__2_type,type,
    sk__2: iS ).

thf(sk__type,type,
    sk_: iS ).

thf(sk__3_type,type,
    sk__3: iS ).

thf(c0_type,type,
    c0: iS ).

thf('#_fresh_sk24_type',type,
    '#_fresh_sk24': iS > iS ).

thf(sk__1_type,type,
    sk__1: iS ).

thf(cS_ALG02_pme,conjecture,
    ( ( ! [Xx: iS,Xy: iS] :
          ( ( cP @ Xx @ Xy )
         != c0 )
      & ! [Xx: iS,Xy: iS,Xu: iS,Xv: iS] :
          ( ( ( cP @ Xx @ Xu )
            = ( cP @ Xy @ Xv ) )
         => ( ( Xx = Xy )
            & ( Xu = Xv ) ) )
      & ! [X: iS > $o] :
          ( ( ( X @ c0 )
            & ! [Xx: iS,Xy: iS] :
                ( ( ( X @ Xx )
                  & ( X @ Xy ) )
               => ( X @ ( cP @ Xx @ Xy ) ) ) )
         => ! [Xx: iS] : ( X @ Xx ) ) )
   => ( ! [Xx: iS,Xy: iS,Xu: iS,Xv: iS] :
          ( ( ( cP @ Xx @ Xu )
            = ( cP @ Xy @ Xv ) )
         => ( ( Xx = Xy )
            & ( Xu = Xv ) ) )
      & ! [Xx: iS,Xy: iS] :
          ( ( cP @ Xx @ Xy )
         != c0 ) ) ) ).

thf(zf_stmt_0,negated_conjecture,
    ~ ( ( ! [Xx: iS,Xy: iS] :
            ( ( cP @ Xx @ Xy )
           != c0 )
        & ! [Xx: iS,Xy: iS,Xu: iS,Xv: iS] :
            ( ( ( cP @ Xx @ Xu )
              = ( cP @ Xy @ Xv ) )
           => ( ( Xx = Xy )
              & ( Xu = Xv ) ) )
        & ! [X: iS > $o] :
            ( ( ( X @ c0 )
              & ! [Xx: iS,Xy: iS] :
                  ( ( ( X @ Xx )
                    & ( X @ Xy ) )
                 => ( X @ ( cP @ Xx @ Xy ) ) ) )
           => ! [Xx: iS] : ( X @ Xx ) ) )
     => ( ! [Xx: iS,Xy: iS,Xu: iS,Xv: iS] :
            ( ( ( cP @ Xx @ Xu )
              = ( cP @ Xy @ Xv ) )
           => ( ( Xx = Xy )
              & ( Xu = Xv ) ) )
        & ! [Xx: iS,Xy: iS] :
            ( ( cP @ Xx @ Xy )
           != c0 ) ) ),
    inference('cnf.neg',[status(esa)],[cS_ALG02_pme]) ).

thf(zip_derived_cl7,plain,
    ( ( ( cP @ sk_ @ sk__2 )
      = ( cP @ sk__1 @ sk__3 ) )
    | ( ( cP @ sk__4 @ sk__5 )
      = c0 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl0,plain,
    ! [X0: iS,X1: iS] :
      ( ( cP @ X0 @ X1 )
     != c0 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl91,plain,
    ( ( c0 != c0 )
    | ( ( cP @ sk_ @ sk__2 )
      = ( cP @ sk__1 @ sk__3 ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl7,zip_derived_cl0]) ).

thf(zip_derived_cl95,plain,
    ( ( cP @ sk_ @ sk__2 )
    = ( cP @ sk__1 @ sk__3 ) ),
    inference(simplify,[status(thm)],[zip_derived_cl91]) ).

thf(zip_derived_cl7_001,plain,
    ( ( ( cP @ sk_ @ sk__2 )
      = ( cP @ sk__1 @ sk__3 ) )
    | ( ( cP @ sk__4 @ sk__5 )
      = c0 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl0_002,plain,
    ! [X0: iS,X1: iS] :
      ( ( cP @ X0 @ X1 )
     != c0 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl89,plain,
    ( ( c0 != c0 )
    | ( ( cP @ sk_ @ sk__2 )
      = ( cP @ sk__1 @ sk__3 ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl7,zip_derived_cl0]) ).

thf(zip_derived_cl93,plain,
    ( ( cP @ sk_ @ sk__2 )
    = ( cP @ sk__1 @ sk__3 ) ),
    inference(simplify,[status(thm)],[zip_derived_cl89]) ).

thf(zip_derived_cl1,plain,
    ! [X2: iS,X3: iS,X4: iS,X5: iS] :
      ( ( X3 = X2 )
      | ( ( cP @ X3 @ X5 )
       != ( cP @ X2 @ X4 ) ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl118,plain,
    ! [X3: iS,X5: iS] :
      ( ( '#_fresh_sk23' @ ( cP @ X3 @ X5 ) )
      = X3 ),
    inference(inj_rec,[status(thm)],[zip_derived_cl1]) ).

thf(zip_derived_cl134,plain,
    ( ( '#_fresh_sk23' @ ( cP @ sk_ @ sk__2 ) )
    = sk__1 ),
    inference('sup+',[status(thm)],[zip_derived_cl93,zip_derived_cl118]) ).

thf(zip_derived_cl118_003,plain,
    ! [X3: iS,X5: iS] :
      ( ( '#_fresh_sk23' @ ( cP @ X3 @ X5 ) )
      = X3 ),
    inference(inj_rec,[status(thm)],[zip_derived_cl1]) ).

thf(zip_derived_cl138,plain,
    sk_ = sk__1,
    inference(demod,[status(thm)],[zip_derived_cl134,zip_derived_cl118]) ).

thf(zip_derived_cl192,plain,
    ( ( cP @ sk_ @ sk__2 )
    = ( cP @ sk_ @ sk__3 ) ),
    inference(demod,[status(thm)],[zip_derived_cl95,zip_derived_cl138]) ).

thf(zip_derived_cl2,plain,
    ! [X2: iS,X3: iS,X4: iS,X5: iS] :
      ( ( X5 = X4 )
      | ( ( cP @ X3 @ X5 )
       != ( cP @ X2 @ X4 ) ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl170,plain,
    ! [X3: iS,X5: iS] :
      ( ( '#_fresh_sk24' @ ( cP @ X3 @ X5 ) )
      = X5 ),
    inference(inj_rec,[status(thm)],[zip_derived_cl2]) ).

thf(zip_derived_cl213,plain,
    ( ( '#_fresh_sk24' @ ( cP @ sk_ @ sk__2 ) )
    = sk__3 ),
    inference('sup+',[status(thm)],[zip_derived_cl192,zip_derived_cl170]) ).

thf(zip_derived_cl170_004,plain,
    ! [X3: iS,X5: iS] :
      ( ( '#_fresh_sk24' @ ( cP @ X3 @ X5 ) )
      = X5 ),
    inference(inj_rec,[status(thm)],[zip_derived_cl2]) ).

thf(zip_derived_cl219,plain,
    sk__2 = sk__3,
    inference(demod,[status(thm)],[zip_derived_cl213,zip_derived_cl170]) ).

thf(zip_derived_cl6,plain,
    ( ( sk__2 != sk__3 )
    | ( sk_ != sk__1 )
    | ( ( cP @ sk__4 @ sk__5 )
      = c0 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl0_005,plain,
    ! [X0: iS,X1: iS] :
      ( ( cP @ X0 @ X1 )
     != c0 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl90,plain,
    ( ( c0 != c0 )
    | ( sk_ != sk__1 )
    | ( sk__2 != sk__3 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl6,zip_derived_cl0]) ).

thf(zip_derived_cl94,plain,
    ( ( sk__2 != sk__3 )
    | ( sk_ != sk__1 ) ),
    inference(simplify,[status(thm)],[zip_derived_cl90]) ).

thf(zip_derived_cl138_006,plain,
    sk_ = sk__1,
    inference(demod,[status(thm)],[zip_derived_cl134,zip_derived_cl118]) ).

thf(zip_derived_cl141,plain,
    ( ( sk__2 != sk__3 )
    | ( sk_ != sk_ ) ),
    inference(demod,[status(thm)],[zip_derived_cl94,zip_derived_cl138]) ).

thf(zip_derived_cl142,plain,
    sk__2 != sk__3,
    inference(simplify,[status(thm)],[zip_derived_cl141]) ).

thf(zip_derived_cl220,plain,
    $false,
    inference('simplify_reflect-',[status(thm)],[zip_derived_cl219,zip_derived_cl142]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.10  % Problem  : SEV197^5 : TPTP v9.2.0. Released v4.0.0.
% 0.11/0.11  % Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.9tF6w7yOtN true
% 0.11/0.32  % Computer : n016.cluster.edu
% 0.11/0.32  % Model    : x86_64 x86_64
% 0.11/0.32  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.32  % Memory   : 8042.1875MB
% 0.11/0.32  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.11/0.32  % CPULimit : 300
% 0.11/0.32  % WCLimit  : 300
% 0.11/0.32  % DateTime : Wed Oct  1 15:38:53 EDT 2025
% 0.11/0.32  % CPUTime  : 
% 0.11/0.32  % Running portfolio for 300 s
% 0.11/0.32  % File         : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.11/0.32  % Number of cores: 8
% 0.11/0.32  % Python version: Python 3.6.8
% 0.11/0.32  % Running in HO mode
% 0.52/0.62  % Total configuration time : 828
% 0.52/0.62  % Estimated wc time : 1656
% 0.52/0.62  % Estimated cpu time (8 cpus) : 207.0
% 0.57/0.70  % /export/starexec/sandbox2/solver/bin/lams/35_full_unif4.sh running for 80s
% 0.57/0.70  % /export/starexec/sandbox2/solver/bin/lams/40_c_ic.sh running for 80s
% 0.57/0.70  % /export/starexec/sandbox2/solver/bin/lams/40_c.s.sh running for 80s
% 0.57/0.70  % /export/starexec/sandbox2/solver/bin/lams/15_e_short1.sh running for 30s
% 0.57/0.70  % /export/starexec/sandbox2/solver/bin/lams/40_noforms.sh running for 90s
% 0.57/0.71  % /export/starexec/sandbox2/solver/bin/lams/40_b.comb.sh running for 70s
% 0.57/0.71  % /export/starexec/sandbox2/solver/bin/lams/20_acsne_simpl.sh running for 40s
% 0.57/0.71  % /export/starexec/sandbox2/solver/bin/lams/30_sp5.sh running for 60s
% 0.63/0.78  % Solved by lams/40_c_ic.sh.
% 0.63/0.78  % done 20 iterations in 0.051s
% 0.63/0.78  % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 0.63/0.78  % SZS output start Refutation
% See solution above
% 0.63/0.78  
% 0.63/0.78  
% 0.63/0.78  % Terminating...
% 0.63/0.85  % Runner terminated.
% 1.74/0.87  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------