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Zipperpin---2.1.9999.THM-Ref.s

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%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : NUM802^5 : 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.S3CN4sROuo true

% Computer : n014.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 04:48:24 PM UTC 2025

% Result   : Theorem 0.35s 0.91s
% Output   : Refutation 0.35s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    8
%            Number of leaves      :    1
% Syntax   : Number of formulae    :   12 (   6 unt;   0 typ;   0 def)
%            Number of atoms       :   22 (  13 equ;   0 cnn)
%            Maximal formula atoms :    3 (   1 avg)
%            Number of connectives :   64 (  12   ~;   4   |;   2   &;  40   @)
%                                         (   0 <=>;   6  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   10 (   5 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :    3 (   3   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :    7 (   5 usr;   3 con; 0-2 aty)
%            Number of variables   :   15 (   3   ^;  10   !;   2   ?;  15   :)

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

thf(c_2_type,type,
    c_2: $i ).

thf(c0_type,type,
    c0: $i ).

thf(c_less__type,type,
    c_less_: $i > $i > $o ).

thf(absval_type,type,
    absval: $i > $i ).

thf(cBLEDSOE_FENG_8,conjecture,
    ( ( c_less_ @ c_2 @ c0 )
   => ( ! [Xu: $i,Xv: $i] :
          ( ( c_less_ @ Xu @ c0 )
         => ( Xu
           != ( absval @ Xv ) ) )
     => ? [A: $i > $o] :
          ( ( A @ c_2 )
          & ! [Xy: $i] :
              ~ ( A @ ( absval @ Xy ) ) ) ) ) ).

thf(zf_stmt_0,negated_conjecture,
    ~ ( ( c_less_ @ c_2 @ c0 )
     => ( ! [Xu: $i,Xv: $i] :
            ( ( c_less_ @ Xu @ c0 )
           => ( Xu
             != ( absval @ Xv ) ) )
       => ? [A: $i > $o] :
            ( ( A @ c_2 )
            & ! [Xy: $i] :
                ~ ( A @ ( absval @ Xy ) ) ) ) ),
    inference('cnf.neg',[status(esa)],[cBLEDSOE_FENG_8]) ).

thf(zip_derived_cl1,plain,
    ! [X0: $i > $o] :
      ( ~ ( X0 @ c_2 )
      | ( X0 @ ( absval @ ( sk_ @ X0 ) ) ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl11,plain,
    ( ~ ( ^ [Y0: $i] : ( c_2 = Y0 )
        @ c_2 )
    | ( ^ [Y0: $i] : ( c_2 = Y0 )
      @ ( absval
        @ ( sk_
          @ ^ [Y0: $i] : ( c_2 = Y0 ) ) ) ) ),
    inference('elim_leibniz_eq_-',[status(thm)],[zip_derived_cl1]) ).

thf(zip_derived_cl23,plain,
    ( ( c_2 != c_2 )
    | ( c_2
      = ( absval @ ( sk_ @ ( $i = c_2 ) ) ) ) ),
    inference(ho_norm,[status(thm)],[zip_derived_cl11]) ).

thf(zip_derived_cl24,plain,
    ( c_2
    = ( absval @ ( sk_ @ ( $i = c_2 ) ) ) ),
    inference('simplify boolean subterms',[status(thm)],[zip_derived_cl23]) ).

thf(zip_derived_cl25,plain,
    ( c_2
    = ( absval @ ( sk_ @ ( $i = c_2 ) ) ) ),
    inference('simplify nested equalities',[status(thm)],[zip_derived_cl24]) ).

thf(zip_derived_cl2,plain,
    ! [X1: $i,X2: $i] :
      ( ~ ( c_less_ @ X1 @ c0 )
      | ( X1
       != ( absval @ X2 ) ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl40,plain,
    ! [X2: $i] :
      ~ ( c_less_ @ ( absval @ X2 ) @ c0 ),
    inference(simplify,[status(thm)],[zip_derived_cl2]) ).

thf(zip_derived_cl41,plain,
    ~ ( c_less_ @ c_2 @ c0 ),
    inference('sup-',[status(thm)],[zip_derived_cl25,zip_derived_cl40]) ).

thf(zip_derived_cl0,plain,
    c_less_ @ c_2 @ c0,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl45,plain,
    $false,
    inference(demod,[status(thm)],[zip_derived_cl41,zip_derived_cl0]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.25  % Problem  : NUM802^5 : TPTP v9.2.0. Released v4.0.0.
% 0.10/0.26  % Command  : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.S3CN4sROuo true
% 0.13/0.48  % Computer : n014.cluster.edu
% 0.13/0.48  % Model    : x86_64 x86_64
% 0.13/0.48  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.48  % Memory   : 8042.1875MB
% 0.13/0.48  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.48  % CPULimit : 300
% 0.13/0.48  % WCLimit  : 300
% 0.13/0.48  % DateTime : Wed Oct  1 16:49:23 EDT 2025
% 0.13/0.48  % CPUTime  : 
% 0.13/0.48  % Running portfolio for 300 s
% 0.13/0.48  % File         : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.13/0.48  % Number of cores: 8
% 0.19/0.48  % Python version: Python 3.6.8
% 0.19/0.48  % Running in HO mode
% 0.34/0.81  % Total configuration time : 828
% 0.34/0.81  % Estimated wc time : 1656
% 0.34/0.81  % Estimated cpu time (8 cpus) : 207.0
% 0.34/0.86  % /export/starexec/sandbox/solver/bin/lams/40_c.s.sh running for 80s
% 0.34/0.86  % /export/starexec/sandbox/solver/bin/lams/35_full_unif4.sh running for 80s
% 0.35/0.87  % /export/starexec/sandbox/solver/bin/lams/40_c_ic.sh running for 80s
% 0.35/0.88  % /export/starexec/sandbox/solver/bin/lams/15_e_short1.sh running for 30s
% 0.35/0.89  % /export/starexec/sandbox/solver/bin/lams/40_b.comb.sh running for 70s
% 0.35/0.89  % /export/starexec/sandbox/solver/bin/lams/40_noforms.sh running for 90s
% 0.35/0.89  % /export/starexec/sandbox/solver/bin/lams/20_acsne_simpl.sh running for 40s
% 0.35/0.89  % /export/starexec/sandbox/solver/bin/lams/30_sp5.sh running for 60s
% 0.35/0.91  % Solved by lams/40_c_ic.sh.
% 0.35/0.91  % done 5 iterations in 0.014s
% 0.35/0.91  % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 0.35/0.91  % SZS output start Refutation
% See solution above
% 0.35/0.91  
% 0.35/0.91  
% 0.35/0.91  % Terminating...
% 0.37/0.99  % Runner terminated.
% 0.37/1.00  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------