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Zipperpin---2.1.9999.THM-Ref.s

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%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : SEU945^5 : 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.xcwdbOqZnO true

% Computer : n019.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 04:56:54 PM UTC 2025

% Result   : Theorem 0.56s 0.81s
% Output   : Refutation 0.56s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   10
%            Number of leaves      :    1
% Syntax   : Number of formulae    :   12 (   6 unt;   0 typ;   0 def)
%            Number of atoms       :   26 (  17 equ;   0 cnn)
%            Maximal formula atoms :    4 (   2 avg)
%            Number of connectives :   55 (  13   ~;   4   |;   0   &;  36   @)
%                                         (   0 <=>;   2  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   10 (   4 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :   12 (  12   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :    5 (   2 usr;   2 con; 0-2 aty)
%            Number of variables   :   23 (   8   ^;  13   !;   2   ?;  23   :)

% Comments : 
%------------------------------------------------------------------------------
thf(sk__type,type,
    sk_: ( $i > $i > $o ) > $i ).

thf(sk__1_type,type,
    sk__1: ( $i > $i > $o ) > $i ).

thf(cTHM3_pme,conjecture,
    ? [Xf: $i > $i > $o] :
    ! [Xx: $i,Xy: $i] :
      ( ( ( Xf @ Xx )
        = ( Xf @ Xy ) )
     => ( Xx = Xy ) ) ).

thf(zf_stmt_0,negated_conjecture,
    ~ ? [Xf: $i > $i > $o] :
      ! [Xx: $i,Xy: $i] :
        ( ( ( Xf @ Xx )
          = ( Xf @ Xy ) )
       => ( Xx = Xy ) ),
    inference('cnf.neg',[status(esa)],[cTHM3_pme]) ).

thf(zip_derived_cl0,plain,
    ! [X0: $i > $i > $o] :
      ( ( X0 @ ( sk_ @ X0 ) )
      = ( X0 @ ( sk__1 @ X0 ) ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl10,plain,
    ! [X0: $i > $i > $o,X1: $i] :
      ( ( X0 @ ( sk_ @ X0 ) @ X1 )
      = ( X0 @ ( sk__1 @ X0 ) @ X1 ) ),
    inference(ho_complete_eq,[status(thm)],[zip_derived_cl0]) ).

thf(zip_derived_cl21,plain,
    ! [X0: $i > $i > $o,X1: $i] :
      ( ( X0 @ ( sk__1 @ X0 ) @ X1 )
      | ~ ( X0 @ ( sk_ @ X0 ) @ X1 ) ),
    inference(cnf_otf,[status(thm)],[zip_derived_cl10]) ).

thf(zip_derived_cl32,plain,
    ! [X0: $i] :
      ( ( ^ [Y0: $i,Y1: $i] : ( Y0 != Y1 )
        @ ( sk__1
          @ ^ [Y0: $i,Y1: $i] : ( Y0 != Y1 ) )
        @ X0 )
      | ~ ( ^ [Y0: $i,Y1: $i] : ( Y0 != Y1 )
          @ ( sk_
            @ ^ [Y0: $i,Y1: $i] : ( Y0 != Y1 ) )
          @ X0 ) ),
    inference('ho.refine',[status(thm)],[zip_derived_cl21]) ).

thf(zip_derived_cl65,plain,
    ! [X0: $i] :
      ( ( ( sk__1 @ != )
       != X0 )
      | ~ ( ( ( sk_ @ != )
           != X0 ) ) ),
    inference(ho_norm,[status(thm)],[zip_derived_cl32]) ).

thf(zip_derived_cl66,plain,
    ! [X0: $i] :
      ( ( ( sk__1 @ != )
       != X0 )
      | ( ( sk_ @ != )
        = X0 ) ),
    inference('simplify nested equalities',[status(thm)],[zip_derived_cl65]) ).

thf(zip_derived_cl67,plain,
    ( ( sk_ @ != )
    = ( sk__1 @ != ) ),
    inference(simplify,[status(thm)],[zip_derived_cl66]) ).

thf(zip_derived_cl1,plain,
    ! [X0: $i > $i > $o] :
      ( ( sk_ @ X0 )
     != ( sk__1 @ X0 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl82,plain,
    ( ( sk_ @ != )
   != ( sk_ @ != ) ),
    inference('sup-',[status(thm)],[zip_derived_cl67,zip_derived_cl1]) ).

thf(zip_derived_cl85,plain,
    $false,
    inference(simplify,[status(thm)],[zip_derived_cl82]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.14  % Problem  : SEU945^5 : TPTP v9.2.0. Released v4.0.0.
% 0.15/0.15  % Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.xcwdbOqZnO true
% 0.16/0.37  % Computer : n019.cluster.edu
% 0.16/0.37  % Model    : x86_64 x86_64
% 0.16/0.37  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.37  % Memory   : 8042.1875MB
% 0.16/0.37  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.16/0.37  % CPULimit : 300
% 0.16/0.37  % WCLimit  : 300
% 0.16/0.37  % DateTime : Wed Oct  1 16:03:08 EDT 2025
% 0.16/0.37  % CPUTime  : 
% 0.16/0.37  % Running portfolio for 300 s
% 0.16/0.37  % File         : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.16/0.37  % Number of cores: 8
% 0.16/0.38  % Python version: Python 3.6.8
% 0.16/0.38  % Running in HO mode
% 0.53/0.65  % Total configuration time : 828
% 0.53/0.65  % Estimated wc time : 1656
% 0.53/0.65  % Estimated cpu time (8 cpus) : 207.0
% 0.55/0.73  % /export/starexec/sandbox2/solver/bin/lams/40_c.s.sh running for 80s
% 0.55/0.75  % /export/starexec/sandbox2/solver/bin/lams/35_full_unif4.sh running for 80s
% 0.55/0.75  % /export/starexec/sandbox2/solver/bin/lams/40_c_ic.sh running for 80s
% 0.56/0.78  % /export/starexec/sandbox2/solver/bin/lams/15_e_short1.sh running for 30s
% 0.56/0.78  % /export/starexec/sandbox2/solver/bin/lams/40_noforms.sh running for 90s
% 0.56/0.80  % /export/starexec/sandbox2/solver/bin/lams/40_b.comb.sh running for 70s
% 0.56/0.81  % Solved by lams/40_c.s.sh.
% 0.56/0.81  % done 4 iterations in 0.042s
% 0.56/0.81  % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 0.56/0.81  % SZS output start Refutation
% See solution above
% 0.56/0.81  
% 0.56/0.81  
% 0.56/0.81  % Terminating...
% 1.41/1.07  % Runner terminated.
% 1.41/1.08  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------