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Zipperpin---2.1.9999.THM-Ref.s

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%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : SYO303^5 : 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.IL5brXyWOM true

% Computer : n005.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 05:07:12 PM UTC 2025

% Result   : Theorem 0.56s 0.76s
% Output   : Refutation 0.56s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   10
%            Number of leaves      :    1
% Syntax   : Number of formulae    :   18 (   8 unt;   0 typ;   0 def)
%            Number of atoms       :   40 (   4 equ;   5 cnn)
%            Maximal formula atoms :    8 (   2 avg)
%            Number of connectives :   98 (  17   ~;  12   |;  10   &;  50   @)
%                                         (   0 <=>;   3  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    9 (   4 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :    7 (   7   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :    9 (   5 usr;   6 con; 0-2 aty)
%                                         (   6  !!;   0  ??;   0 @@+;   0 @@-)
%            Number of variables   :   19 (   7   ^;  12   !;   0   ?;  19   :)

% Comments : 
%------------------------------------------------------------------------------
thf(c0_type,type,
    c0: $i ).

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

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

thf(cT_type,type,
    cT: $i > $o ).

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

thf(cMIN_QUAN_BUG,conjecture,
    ( ! [P: $i > $o] :
        ( ~ ( P @ c0 )
        | ! [Xx: $i] : ( P @ Xx ) )
   => ( ( ( cS @ b )
        & ( cT @ a ) )
      | ~ ( ( cT @ c0 )
          & ( cS @ c0 ) ) ) ) ).

thf(zf_stmt_0,negated_conjecture,
    ~ ( ! [P: $i > $o] :
          ( ~ ( P @ c0 )
          | ! [Xx: $i] : ( P @ Xx ) )
     => ( ( ( cS @ b )
          & ( cT @ a ) )
        | ~ ( ( cT @ c0 )
            & ( cS @ c0 ) ) ) ),
    inference('cnf.neg',[status(esa)],[cMIN_QUAN_BUG]) ).

thf(zip_derived_cl0,plain,
    ~ ( ( !!
        @ ^ [Y0: $i > $o] :
            ( ( (~) @ ( Y0 @ c0 ) )
            | ( !!
              @ ^ [Y1: $i] : ( Y0 @ Y1 ) ) ) )
     => ( ( ( cS @ b )
          & ( cT @ a ) )
        | ( (~)
          @ ( ( cT @ c0 )
            & ( cS @ c0 ) ) ) ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl2,plain,
    ~ ( ( ( cS @ b )
        & ( cT @ a ) )
      | ( (~)
        @ ( ( cT @ c0 )
          & ( cS @ c0 ) ) ) ),
    inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl0]) ).

thf(zip_derived_cl4,plain,
    ~ ( ( cS @ b )
      & ( cT @ a ) ),
    inference(lazy_cnf_or,[status(thm)],[zip_derived_cl2]) ).

thf(zip_derived_cl7,plain,
    ( ~ ( cS @ b )
    | ~ ( cT @ a ) ),
    inference(lazy_cnf_and,[status(thm)],[zip_derived_cl4]) ).

thf(zip_derived_cl1,plain,
    ( !!
    @ ^ [Y0: $i > $o] :
        ( ( (~) @ ( Y0 @ c0 ) )
        | ( !!
          @ ^ [Y1: $i] : ( Y0 @ Y1 ) ) ) ),
    inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl0]) ).

thf(zip_derived_cl3,plain,
    ! [X2: $i > $o] :
      ( ( (~) @ ( X2 @ c0 ) )
      | ( !!
        @ ^ [Y0: $i] : ( X2 @ Y0 ) ) ),
    inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl1]) ).

thf(zip_derived_cl6,plain,
    ! [X2: $i > $o] :
      ( ~ ( X2 @ c0 )
      | ( !!
        @ ^ [Y0: $i] : ( X2 @ Y0 ) ) ),
    inference(lazy_cnf_or,[status(thm)],[zip_derived_cl3]) ).

thf(zip_derived_cl10,plain,
    ! [X2: $i > $o,X4: $i] :
      ( ( X2 @ X4 )
      | ~ ( X2 @ c0 ) ),
    inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl6]) ).

thf(zip_derived_cl28,plain,
    ! [X0: $i] :
      ( ^ [Y0: $i] : ( Y0 = c0 )
      @ X0 ),
    inference(ho_elim_pred,[status(thm)],[zip_derived_cl10]) ).

thf(zip_derived_cl40,plain,
    ! [X0: $i] : ( X0 = c0 ),
    inference(ho_norm,[status(thm)],[zip_derived_cl28]) ).

thf(zip_derived_cl41,plain,
    ! [X0: $i] : ( X0 = c0 ),
    inference('simplify nested equalities',[status(thm)],[zip_derived_cl40]) ).

thf(zip_derived_cl5,plain,
    ( ( cT @ c0 )
    & ( cS @ c0 ) ),
    inference(lazy_cnf_or,[status(thm)],[zip_derived_cl2]) ).

thf(zip_derived_cl9,plain,
    cS @ c0,
    inference(lazy_cnf_and,[status(thm)],[zip_derived_cl5]) ).

thf(zip_derived_cl41_001,plain,
    ! [X0: $i] : ( X0 = c0 ),
    inference('simplify nested equalities',[status(thm)],[zip_derived_cl40]) ).

thf(zip_derived_cl8,plain,
    cT @ c0,
    inference(lazy_cnf_and,[status(thm)],[zip_derived_cl5]) ).

thf(zip_derived_cl87,plain,
    $false,
    inference(demod,[status(thm)],[zip_derived_cl7,zip_derived_cl41,zip_derived_cl9,zip_derived_cl41,zip_derived_cl8]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : SYO303^5 : TPTP v9.2.0. Released v4.0.0.
% 0.07/0.13  % Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.IL5brXyWOM true
% 0.13/0.34  % Computer : n005.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34  % CPULimit : 300
% 0.13/0.34  % WCLimit  : 300
% 0.13/0.34  % DateTime : Wed Oct  1 17:51:23 EDT 2025
% 0.13/0.34  % CPUTime  : 
% 0.13/0.34  % Running portfolio for 300 s
% 0.13/0.34  % 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
% 0.13/0.35  % 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
% 0.54/0.69  % /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
% 0.56/0.73  % /export/starexec/sandbox2/solver/bin/lams/40_c_ic.sh running for 80s
% 0.56/0.73  % /export/starexec/sandbox2/solver/bin/lams/15_e_short1.sh running for 30s
% 0.56/0.74  % /export/starexec/sandbox2/solver/bin/lams/40_noforms.sh running for 90s
% 0.56/0.75  % /export/starexec/sandbox2/solver/bin/lams/20_acsne_simpl.sh running for 40s
% 0.56/0.75  % /export/starexec/sandbox2/solver/bin/lams/40_b.comb.sh running for 70s
% 0.56/0.76  % Solved by lams/35_full_unif4.sh.
% 0.56/0.76  % done 4 iterations in 0.015s
% 0.56/0.76  % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 0.56/0.76  % SZS output start Refutation
% See solution above
% 0.56/0.76  
% 0.56/0.76  
% 0.56/0.76  % Terminating...
% 0.59/0.84  % Runner terminated.
% 0.59/0.85  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------