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Zipperpin---2.1.9999.THM-Ref.s

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%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : SYO353^5 : 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.fUKZTbrb9h true

% Computer : n013.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 05:07:17 PM UTC 2025

% Result   : Theorem 0.63s 0.75s
% Output   : Refutation 0.63s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   10
%            Number of leaves      :    1
% Syntax   : Number of formulae    :   16 (   8 unt;   0 typ;   0 def)
%            Number of atoms       :   18 (   3 equ;   0 cnn)
%            Maximal formula atoms :    3 (   1 avg)
%            Number of connectives :   78 (   7   ~;   1   |;   0   &;  49   @)
%                                         (   0 <=>;  13  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   10 (   5 avg)
%            Number of types       :    2 (   1 usr)
%            Number of type conns  :   14 (  14   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :    6 (   3 usr;   4 con; 0-2 aty)
%                                         (   8  !!;   0  ??;   0 @@+;   0 @@-)
%            Number of variables   :   18 (   9   ^;   9   !;   0   ?;  18   :)

% Comments : 
%------------------------------------------------------------------------------
thf(a_type,type,
    a: $tType ).

thf(u_type,type,
    u: a ).

thf('#sk1_type',type,
    '#sk1': a > a > $o ).

thf(v_type,type,
    v: a ).

thf(cE1LEIBEQ1_pme,conjecture,
    ( ! [Xq: a > $o] :
        ( ( Xq @ u )
       => ( Xq @ v ) )
   => ! [Q: a > a > $o] :
        ( ! [Z: a] : ( Q @ Z @ Z )
       => ( Q @ u @ v ) ) ) ).

thf(zf_stmt_0,negated_conjecture,
    ~ ( ! [Xq: a > $o] :
          ( ( Xq @ u )
         => ( Xq @ v ) )
     => ! [Q: a > a > $o] :
          ( ! [Z: a] : ( Q @ Z @ Z )
         => ( Q @ u @ v ) ) ),
    inference('cnf.neg',[status(esa)],[cE1LEIBEQ1_pme]) ).

thf(zip_derived_cl0,plain,
    ~ ( ( !!
        @ ^ [Y0: a > $o] :
            ( ( Y0 @ u )
           => ( Y0 @ v ) ) )
     => ( !!
        @ ^ [Y0: a > a > $o] :
            ( ( !!
              @ ^ [Y1: a] : ( Y0 @ Y1 @ Y1 ) )
           => ( Y0 @ u @ v ) ) ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl2,plain,
    ~ ( !!
      @ ^ [Y0: a > a > $o] :
          ( ( !!
            @ ^ [Y1: a] : ( Y0 @ Y1 @ Y1 ) )
         => ( Y0 @ u @ v ) ) ),
    inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl0]) ).

thf(zip_derived_cl4,plain,
    ~ ( ( !!
        @ ^ [Y0: a] : ( '#sk1' @ Y0 @ Y0 ) )
     => ( '#sk1' @ u @ v ) ),
    inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl2]) ).

thf(zip_derived_cl7,plain,
    ~ ( '#sk1' @ u @ v ),
    inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl4]) ).

thf(zip_derived_cl1,plain,
    ( !!
    @ ^ [Y0: a > $o] :
        ( ( Y0 @ u )
       => ( Y0 @ v ) ) ),
    inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl0]) ).

thf(zip_derived_cl3,plain,
    ! [X2: a > $o] :
      ( ( X2 @ u )
     => ( X2 @ v ) ),
    inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl1]) ).

thf(zip_derived_cl5,plain,
    ! [X2: a > $o] :
      ( ~ ( X2 @ u )
      | ( X2 @ v ) ),
    inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl3]) ).

thf(zip_derived_cl16,plain,
    ( ^ [Y0: a] : ( Y0 = u )
    @ v ),
    inference(ho_elim_pred,[status(thm)],[zip_derived_cl5]) ).

thf(zip_derived_cl26,plain,
    v = u,
    inference(ho_norm,[status(thm)],[zip_derived_cl16]) ).

thf(zip_derived_cl27,plain,
    v = u,
    inference('simplify nested equalities',[status(thm)],[zip_derived_cl26]) ).

thf(zip_derived_cl61,plain,
    ~ ( '#sk1' @ v @ v ),
    inference(demod,[status(thm)],[zip_derived_cl7,zip_derived_cl27]) ).

thf(zip_derived_cl6,plain,
    ( !!
    @ ^ [Y0: a] : ( '#sk1' @ Y0 @ Y0 ) ),
    inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl4]) ).

thf(zip_derived_cl8,plain,
    ! [X2: a] : ( '#sk1' @ X2 @ X2 ),
    inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl6]) ).

thf(zip_derived_cl66,plain,
    $false,
    inference(demod,[status(thm)],[zip_derived_cl61,zip_derived_cl8]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : SYO353^5 : 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.fUKZTbrb9h true
% 0.13/0.34  % Computer : n013.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 18:11:23 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
% 0.13/0.34  % Number of cores: 8
% 0.13/0.34  % Python version: Python 3.6.8
% 0.13/0.34  % Running in HO mode
% 0.57/0.67  % Total configuration time : 828
% 0.57/0.67  % Estimated wc time : 1656
% 0.57/0.67  % Estimated cpu time (8 cpus) : 207.0
% 0.63/0.71  % /export/starexec/sandbox2/solver/bin/lams/40_c.s.sh running for 80s
% 0.63/0.71  % /export/starexec/sandbox2/solver/bin/lams/40_c_ic.sh running for 80s
% 0.63/0.71  % /export/starexec/sandbox2/solver/bin/lams/35_full_unif4.sh running for 80s
% 0.63/0.74  % /export/starexec/sandbox2/solver/bin/lams/15_e_short1.sh running for 30s
% 0.63/0.74  % /export/starexec/sandbox2/solver/bin/lams/40_noforms.sh running for 90s
% 0.63/0.75  % Solved by lams/35_full_unif4.sh.
% 0.63/0.75  % done 3 iterations in 0.017s
% 0.63/0.75  % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 0.63/0.75  % SZS output start Refutation
% See solution above
% 0.63/0.75  
% 0.63/0.75  
% 0.63/0.75  % Terminating...
% 0.64/0.84  % Runner terminated.
% 0.64/0.85  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------