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Zipperpin---2.1.9999.THM-Ref.s

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%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : SEV257^5 : TPTP v9.2.0. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.adWdSKR7RI true

% Computer : n020.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 04:57:28 PM UTC 2025

% Result   : Theorem 1.35s 0.75s
% Output   : Refutation 1.35s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    6
%            Number of leaves      :    1
% Syntax   : Number of formulae    :    8 (   1 unt;   0 typ;   0 def)
%            Number of atoms       :   35 (   0 equ;   0 cnn)
%            Maximal formula atoms :    9 (   4 avg)
%            Number of connectives :   69 (   2   ~;   2   |;  13   &;  41   @)
%                                         (   0 <=>;   8  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   12 (   7 avg)
%            Number of types       :    2 (   1 usr)
%            Number of type conns  :   20 (  20   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :    5 (   2 usr;   3 con; 0-2 aty)
%                                         (   0  !!;   3  ??;   0 @@+;   0 @@-)
%            Number of variables   :   30 (  19   ^;   9   !;   2   ?;  30   :)

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

thf(cOPEN_type,type,
    cOPEN: ( a > $o ) > $o ).

thf(sk__type,type,
    sk_: ( ( a > $o ) > $o ) > a > $o ).

thf(cTHM625_pme,conjecture,
    ( ( ( cOPEN
        @ ^ [Xy: a] : $true )
      & ! [K: ( a > $o ) > $o] :
          ( ! [Xx: a > $o] :
              ( ( K @ Xx )
             => ( cOPEN @ Xx ) )
         => ( cOPEN
            @ ^ [Xx: a] :
              ? [S: a > $o] :
                ( ( K @ S )
                & ( S @ Xx ) ) ) )
      & ! [Y: a > $o,Z: a > $o] :
          ( ( ( cOPEN @ Y )
            & ( cOPEN @ Z ) )
         => ( cOPEN
            @ ^ [Xx: a] :
                ( ( Z @ Xx )
                & ( Y @ Xx ) ) ) ) )
   => ( cOPEN
      @ ^ [Xy: a] : $false ) ) ).

thf(zf_stmt_0,negated_conjecture,
    ~ ( ( ( cOPEN
          @ ^ [Xy: a] : $true )
        & ! [K: ( a > $o ) > $o] :
            ( ! [Xx: a > $o] :
                ( ( K @ Xx )
               => ( cOPEN @ Xx ) )
           => ( cOPEN
              @ ^ [Xx: a] :
                ? [S: a > $o] :
                  ( ( K @ S )
                  & ( S @ Xx ) ) ) )
        & ! [Y: a > $o,Z: a > $o] :
            ( ( ( cOPEN @ Y )
              & ( cOPEN @ Z ) )
           => ( cOPEN
              @ ^ [Xx: a] :
                  ( ( Z @ Xx )
                  & ( Y @ Xx ) ) ) ) )
     => ( cOPEN
        @ ^ [Xy: a] : $false ) ),
    inference('cnf.neg',[status(esa)],[cTHM625_pme]) ).

thf(zip_derived_cl4,plain,
    ~ ( cOPEN
      @ ^ [Y0: a] : $false ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl2,plain,
    ! [X0: ( a > $o ) > $o] :
      ( ( cOPEN
        @ ^ [Y0: a] :
            ( ??
            @ ^ [Y1: a > $o] :
                ( ( X0 @ Y1 )
                & ( Y1 @ Y0 ) ) ) )
      | ( X0 @ ( sk_ @ X0 ) ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl17,plain,
    ( ( cOPEN
      @ ^ [Y0: a] :
          ( ??
          @ ^ [Y1: a > $o] :
              ( ( ^ [Y2: a > $o] : $false
                @ Y1 )
              & ( Y1 @ Y0 ) ) ) )
    | ( ^ [Y0: a > $o] : $false
      @ ( sk_
        @ ^ [Y0: a > $o] : $false ) ) ),
    inference('ho.refine',[status(thm)],[zip_derived_cl2]) ).

thf(zip_derived_cl29,plain,
    ( cOPEN
    @ ^ [Y0: a] :
        ( ??
        @ ^ [Y1: a > $o] :
            ( $false
            & ( Y1 @ Y0 ) ) ) ),
    inference(ho_norm,[status(thm)],[zip_derived_cl17]) ).

thf(zip_derived_cl30,plain,
    ( cOPEN
    @ ^ [Y0: a] : $false ),
    inference('simplify boolean subterms',[status(thm)],[zip_derived_cl29]) ).

thf(zip_derived_cl39,plain,
    $false,
    inference(demod,[status(thm)],[zip_derived_cl4,zip_derived_cl30]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11  % Problem  : SEV257^5 : TPTP v9.2.0. Released v4.0.0.
% 0.11/0.11  % Command  : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.adWdSKR7RI true
% 0.11/0.32  % Computer : n020.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 15:40:53 EDT 2025
% 0.11/0.32  % CPUTime  : 
% 0.11/0.32  % Running portfolio for 300 s
% 0.11/0.32  % File         : /export/starexec/sandbox/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
% 0.61/0.62  % Total configuration time : 828
% 0.61/0.62  % Estimated wc time : 1656
% 0.61/0.62  % Estimated cpu time (8 cpus) : 207.0
% 0.86/0.70  % /export/starexec/sandbox/solver/bin/lams/40_c.s.sh running for 80s
% 0.86/0.70  % /export/starexec/sandbox/solver/bin/lams/35_full_unif4.sh running for 80s
% 0.86/0.70  % /export/starexec/sandbox/solver/bin/lams/40_c_ic.sh running for 80s
% 1.35/0.71  % /export/starexec/sandbox/solver/bin/lams/15_e_short1.sh running for 30s
% 1.35/0.71  % /export/starexec/sandbox/solver/bin/lams/40_noforms.sh running for 90s
% 1.35/0.74  % /export/starexec/sandbox/solver/bin/lams/40_b.comb.sh running for 70s
% 1.35/0.74  % /export/starexec/sandbox/solver/bin/lams/20_acsne_simpl.sh running for 40s
% 1.35/0.75  % /export/starexec/sandbox/solver/bin/lams/30_sp5.sh running for 60s
% 1.35/0.75  % Solved by lams/40_c.s.sh.
% 1.35/0.75  % done 4 iterations in 0.030s
% 1.35/0.75  % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 1.35/0.75  % SZS output start Refutation
% See solution above
% 1.35/0.75  
% 1.35/0.75  
% 1.35/0.75  % Terminating...
% 1.43/0.83  % Runner terminated.
% 1.65/0.86  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------