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Zipperpin---2.1.9999.THM-Ref.s

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%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : SEV405^5 : 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.B7gF39Pw7k true

% Computer : n008.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 04:57:40 PM UTC 2025

% Result   : Theorem 0.54s 0.76s
% Output   : Refutation 0.54s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    9
%            Number of leaves      :    1
% Syntax   : Number of formulae    :   11 (   8 unt;   0 typ;   0 def)
%            Number of atoms       :   18 (   3 equ;   0 cnn)
%            Maximal formula atoms :    3 (   1 avg)
%            Number of connectives :   33 (   8   ~;   0   |;   0   &;  17   @)
%                                         (   5 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    8 (   4 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :    8 (   8   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :    7 (   2 usr;   5 con; 0-2 aty)
%                                         (   2  !!;   1  ??;   0 @@+;   0 @@-)
%            Number of variables   :   14 (   5   ^;   7   !;   2   ?;  14   :)

% Comments : 
%------------------------------------------------------------------------------
thf(cA_type,type,
    cA: $o ).

thf('#sk2_type',type,
    '#sk2': ( $i > $o ) > $i ).

thf(cCOMP1,conjecture,
    ? [U: $i > $o] :
    ! [V: $i] :
      ( ( U @ V )
    <=> cA ) ).

thf(zf_stmt_0,negated_conjecture,
    ~ ? [U: $i > $o] :
      ! [V: $i] :
        ( ( U @ V )
      <=> cA ),
    inference('cnf.neg',[status(esa)],[cCOMP1]) ).

thf(zip_derived_cl0,plain,
    ~ ( ??
      @ ^ [Y0: $i > $o] :
          ( !!
          @ ^ [Y1: $i] :
              ( ( Y0 @ Y1 )
            <=> cA ) ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl1,plain,
    ! [X2: $i > $o] :
      ~ ( !!
        @ ^ [Y0: $i] :
            ( ( X2 @ Y0 )
          <=> cA ) ),
    inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl0]) ).

thf(zip_derived_cl2,plain,
    ! [X2: $i > $o] :
      ~ ( ( X2 @ ( '#sk2' @ X2 ) )
      <=> cA ),
    inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl1]) ).

thf(zip_derived_cl3,plain,
    ! [X2: $i > $o] :
      ( ( X2 @ ( '#sk2' @ X2 ) )
     != cA ),
    inference('simplify nested equalities',[status(thm)],[zip_derived_cl2]) ).

thf(zip_derived_cl3_001,plain,
    ! [X2: $i > $o] :
      ( ( X2 @ ( '#sk2' @ X2 ) )
     != cA ),
    inference('simplify nested equalities',[status(thm)],[zip_derived_cl2]) ).

thf(zip_derived_cl8,plain,
    ( ( ^ [Y0: $i] : $true
      @ ( '#sk2'
        @ ^ [Y0: $i] : $true ) )
   != cA ),
    inference('ho.refine',[status(thm)],[zip_derived_cl3]) ).

thf(zip_derived_cl13,plain,
    ~ cA,
    inference(ho_norm,[status(thm)],[zip_derived_cl8]) ).

thf(zip_derived_cl14,plain,
    ! [X2: $i > $o] : ( X2 @ ( '#sk2' @ X2 ) ),
    inference(demod,[status(thm)],[zip_derived_cl3,zip_derived_cl13]) ).

thf(zip_derived_cl15,plain,
    $false,
    inference(flex_resolve,[status(thm)],[zip_derived_cl14]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13  % Problem  : SEV405^5 : TPTP v9.2.0. Released v4.0.0.
% 0.07/0.14  % Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.B7gF39Pw7k true
% 0.13/0.36  % Computer : n008.cluster.edu
% 0.13/0.36  % Model    : x86_64 x86_64
% 0.13/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.36  % Memory   : 8042.1875MB
% 0.13/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.36  % CPULimit : 300
% 0.13/0.36  % WCLimit  : 300
% 0.13/0.36  % DateTime : Wed Oct  1 15:40:38 EDT 2025
% 0.13/0.36  % CPUTime  : 
% 0.13/0.36  % Running portfolio for 300 s
% 0.13/0.36  % File         : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.13/0.36  % Number of cores: 8
% 0.13/0.36  % Python version: Python 3.6.8
% 0.13/0.36  % Running in HO mode
% 0.51/0.63  % Total configuration time : 828
% 0.51/0.63  % Estimated wc time : 1656
% 0.51/0.63  % Estimated cpu time (8 cpus) : 207.0
% 0.52/0.72  % /export/starexec/sandbox2/solver/bin/lams/40_c.s.sh running for 80s
% 0.52/0.72  % /export/starexec/sandbox2/solver/bin/lams/35_full_unif4.sh running for 80s
% 0.52/0.73  % /export/starexec/sandbox2/solver/bin/lams/15_e_short1.sh running for 30s
% 0.52/0.73  % /export/starexec/sandbox2/solver/bin/lams/40_noforms.sh running for 90s
% 0.52/0.73  % /export/starexec/sandbox2/solver/bin/lams/40_b.comb.sh running for 70s
% 0.52/0.73  % /export/starexec/sandbox2/solver/bin/lams/40_c_ic.sh running for 80s
% 0.52/0.73  % /export/starexec/sandbox2/solver/bin/lams/20_acsne_simpl.sh running for 40s
% 0.52/0.75  % /export/starexec/sandbox2/solver/bin/lams/30_sp5.sh running for 60s
% 0.54/0.76  % Solved by lams/35_full_unif4.sh.
% 0.54/0.76  % done 1 iterations in 0.012s
% 0.54/0.76  % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 0.54/0.76  % SZS output start Refutation
% See solution above
% 0.54/0.76  
% 0.54/0.76  
% 0.54/0.76  % Terminating...
% 0.54/0.84  % Runner terminated.
% 1.86/0.86  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------