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Zipperpin---2.1.9999.THM-Ref.s

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%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : SEV288^5 : 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.3eeiCf3ZTZ true

% Computer : n026.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 04:57:31 PM UTC 2025

% Result   : Theorem 0.57s 0.78s
% Output   : Refutation 0.57s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   10
%            Number of leaves      :    1
% Syntax   : Number of formulae    :   14 (   8 unt;   0 typ;   0 def)
%            Number of atoms       :   18 (  14 equ;   0 cnn)
%            Maximal formula atoms :    2 (   1 avg)
%            Number of connectives :   43 (  18   ~;   8   |;   0   &;  13   @)
%                                         (   2 <=>;   2  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    8 (   4 avg)
%            Number of types       :    2 (   1 usr)
%            Number of type conns  :    4 (   4   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :    5 (   3 usr;   3 con; 0-2 aty)
%            Number of variables   :   10 (   2   ^;   8   !;   0   ?;  10   :)

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

thf(sk__2_type,type,
    sk__2: a > $o ).

thf(sk__type,type,
    sk_: a ).

thf(sk__1_type,type,
    sk__1: a ).

thf(cE1_eq__pme,conjecture,
    ! [X: a,Y: a] :
      ( ! [Xq: a > $o] :
          ( ( Xq @ X )
         => ( Xq @ Y ) )
    <=> ( X = Y ) ) ).

thf(zf_stmt_0,negated_conjecture,
    ~ ! [X: a,Y: a] :
        ( ! [Xq: a > $o] :
            ( ( Xq @ X )
           => ( Xq @ Y ) )
      <=> ( X = Y ) ),
    inference('cnf.neg',[status(esa)],[cE1_eq__pme]) ).

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

thf(zip_derived_cl1,plain,
    ( ( sk_ != sk__1 )
    | ~ ( sk__2 @ sk__1 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl3,plain,
    ( ( sk_ != sk__1 )
    | ~ ( sk__2 @ sk_ ) ),
    inference(local_rewriting,[status(thm)],[zip_derived_cl1]) ).

thf(zip_derived_cl2,plain,
    ( ( sk_ != sk__1 )
    | ( sk__2 @ sk_ ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl4,plain,
    sk_ != sk__1,
    inference(clc,[status(thm)],[zip_derived_cl3,zip_derived_cl2]) ).

thf(zip_derived_cl5,plain,
    ! [X0: a > $o] :
      ( ~ ( X0 @ sk_ )
      | ( X0 @ sk__1 ) ),
    inference('simplify_reflect-',[status(thm)],[zip_derived_cl0,zip_derived_cl4]) ).

thf(zip_derived_cl14,plain,
    ( ~ ( ^ [Y0: a] : ( sk__1 != Y0 )
        @ sk_ )
    | ( ^ [Y0: a] : ( sk__1 != Y0 )
      @ sk__1 ) ),
    inference('elim_leibniz_eq_+',[status(thm)],[zip_derived_cl5]) ).

thf(zip_derived_cl33,plain,
    ( ~ ( ( sk__1 != sk_ ) )
    | ( sk__1 != sk__1 ) ),
    inference(ho_norm,[status(thm)],[zip_derived_cl14]) ).

thf(zip_derived_cl34,plain,
    ~ ( ( sk__1 != sk_ ) ),
    inference('simplify boolean subterms',[status(thm)],[zip_derived_cl33]) ).

thf(zip_derived_cl35,plain,
    sk__1 = sk_,
    inference('simplify nested equalities',[status(thm)],[zip_derived_cl34]) ).

thf(zip_derived_cl4_001,plain,
    sk_ != sk__1,
    inference(clc,[status(thm)],[zip_derived_cl3,zip_derived_cl2]) ).

thf(zip_derived_cl38,plain,
    $false,
    inference('simplify_reflect-',[status(thm)],[zip_derived_cl35,zip_derived_cl4]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13  % Problem  : SEV288^5 : TPTP v9.2.0. Released v4.0.0.
% 0.07/0.14  % Command  : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.3eeiCf3ZTZ true
% 0.14/0.36  % Computer : n026.cluster.edu
% 0.14/0.36  % Model    : x86_64 x86_64
% 0.14/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36  % Memory   : 8042.1875MB
% 0.14/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36  % CPULimit : 300
% 0.14/0.36  % WCLimit  : 300
% 0.14/0.36  % DateTime : Wed Oct  1 15:40:38 EDT 2025
% 0.14/0.36  % CPUTime  : 
% 0.14/0.36  % Running portfolio for 300 s
% 0.14/0.36  % File         : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.14/0.36  % Number of cores: 8
% 0.14/0.36  % Python version: Python 3.6.8
% 0.14/0.37  % Running in HO mode
% 0.55/0.69  % Total configuration time : 828
% 0.55/0.69  % Estimated wc time : 1656
% 0.55/0.69  % Estimated cpu time (8 cpus) : 207.0
% 0.57/0.75  % /export/starexec/sandbox/solver/bin/lams/40_c.s.sh running for 80s
% 0.57/0.75  % /export/starexec/sandbox/solver/bin/lams/40_c_ic.sh running for 80s
% 0.57/0.75  % /export/starexec/sandbox/solver/bin/lams/35_full_unif4.sh running for 80s
% 0.57/0.76  % /export/starexec/sandbox/solver/bin/lams/15_e_short1.sh running for 30s
% 0.57/0.77  % /export/starexec/sandbox/solver/bin/lams/40_noforms.sh running for 90s
% 0.57/0.78  % /export/starexec/sandbox/solver/bin/lams/40_b.comb.sh running for 70s
% 0.57/0.78  % Solved by lams/40_c_ic.sh.
% 0.57/0.78  % done 2 iterations in 0.008s
% 0.57/0.78  % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 0.57/0.78  % SZS output start Refutation
% See solution above
% 0.57/0.78  
% 0.57/0.78  
% 0.57/0.78  % Terminating...
% 0.68/0.88  % Runner terminated.
% 1.87/0.89  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------