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Zipperpin---2.1.9999.THM-Ref.s

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%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : ITP239^3 : TPTP v9.2.1. Bugfixed v9.2.1.
% Transfm  : none
% Format   : tptp:raw
% Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.jAjL33f2F3 true

% Computer : n003.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 : Sat Feb 28 09:48:16 AM UTC 2026

% Result   : Theorem 18.14s 2.80s
% Output   : Refutation 18.14s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    4
%            Number of leaves      :    4
% Syntax   : Number of formulae    :   18 (  18 unt;   0 typ;   0 def)
%            Number of atoms       :   18 (   9 equ;   0 cnn)
%            Maximal formula atoms :    1 (   1 avg)
%            Number of connectives :  145 (   3   ~;   0   |;   0   &; 142   @)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    9 (   4 avg)
%            Number of types       :    5 (   4 usr)
%            Number of type conns  :    0 (   0   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   15 (  13 usr;   7 con; 0-2 aty)
%            Number of variables   :    0 (   0   ^;   0   !;   0   ?;   0   :)

% Comments : 
%------------------------------------------------------------------------------
thf(vEBT_VEBT_type,type,
    vEBT_VEBT: $tType ).

thf(list_VEBT_VEBT_type,type,
    list_VEBT_VEBT: $tType ).

thf(nat_type,type,
    nat: $tType ).

thf(num_type,type,
    num: $tType ).

thf(one_type,type,
    one: num ).

thf(za_type,type,
    za: nat ).

thf(deg_type,type,
    deg: nat ).

thf(divide_divide_nat_type,type,
    divide_divide_nat: nat > nat > nat ).

thf(pr_type,type,
    pr: nat ).

thf(nth_VEBT_VEBT_type,type,
    nth_VEBT_VEBT: list_VEBT_VEBT > nat > vEBT_VEBT ).

thf(numeral_numeral_nat_type,type,
    numeral_numeral_nat: num > nat ).

thf(vEBT_VEBT_high_type,type,
    vEBT_VEBT_high: nat > nat > nat ).

thf(treeList_type,type,
    treeList: list_VEBT_VEBT ).

thf(na_type,type,
    na: nat ).

thf(vEBT_VEBT_low_type,type,
    vEBT_VEBT_low: nat > nat > nat ).

thf(vEBT_vebt_member_type,type,
    vEBT_vebt_member: vEBT_VEBT > nat > $o ).

thf(bit0_type,type,
    bit0: num > num ).

thf(conj_0,conjecture,
    vEBT_vebt_member @ ( nth_VEBT_VEBT @ treeList @ ( vEBT_VEBT_high @ za @ ( divide_divide_nat @ deg @ ( numeral_numeral_nat @ ( bit0 @ one ) ) ) ) ) @ ( vEBT_VEBT_low @ za @ ( divide_divide_nat @ deg @ ( numeral_numeral_nat @ ( bit0 @ one ) ) ) ) ).

thf(zf_stmt_0,negated_conjecture,
    ~ ( vEBT_vebt_member @ ( nth_VEBT_VEBT @ treeList @ ( vEBT_VEBT_high @ za @ ( divide_divide_nat @ deg @ ( numeral_numeral_nat @ ( bit0 @ one ) ) ) ) ) @ ( vEBT_VEBT_low @ za @ ( divide_divide_nat @ deg @ ( numeral_numeral_nat @ ( bit0 @ one ) ) ) ) ),
    inference('cnf.neg',[status(esa)],[conj_0]) ).

thf(zip_derived_cl5025,plain,
    ~ ( vEBT_vebt_member @ ( nth_VEBT_VEBT @ treeList @ ( vEBT_VEBT_high @ za @ ( divide_divide_nat @ deg @ ( numeral_numeral_nat @ ( bit0 @ one ) ) ) ) ) @ ( vEBT_VEBT_low @ za @ ( divide_divide_nat @ deg @ ( numeral_numeral_nat @ ( bit0 @ one ) ) ) ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(fact_9__092_060open_062deg_Adiv_A2_A_061_An_092_060close_062,axiom,
    ( ( divide_divide_nat @ deg @ ( numeral_numeral_nat @ ( bit0 @ one ) ) )
    = na ) ).

thf(zip_derived_cl8,plain,
    ( ( divide_divide_nat @ deg @ ( numeral_numeral_nat @ ( bit0 @ one ) ) )
    = na ),
    inference(cnf,[status(esa)],[fact_9__092_060open_062deg_Adiv_A2_A_061_An_092_060close_062]) ).

thf(fact_0_True,axiom,
    ( ( vEBT_VEBT_high @ za @ ( divide_divide_nat @ deg @ ( numeral_numeral_nat @ ( bit0 @ one ) ) ) )
    = pr ) ).

thf(zip_derived_cl0,plain,
    ( ( vEBT_VEBT_high @ za @ ( divide_divide_nat @ deg @ ( numeral_numeral_nat @ ( bit0 @ one ) ) ) )
    = pr ),
    inference(cnf,[status(esa)],[fact_0_True]) ).

thf(zip_derived_cl8_001,plain,
    ( ( divide_divide_nat @ deg @ ( numeral_numeral_nat @ ( bit0 @ one ) ) )
    = na ),
    inference(cnf,[status(esa)],[fact_9__092_060open_062deg_Adiv_A2_A_061_An_092_060close_062]) ).

thf(zip_derived_cl5038,plain,
    ( ( vEBT_VEBT_high @ za @ na )
    = pr ),
    inference(demod,[status(thm)],[zip_derived_cl0,zip_derived_cl8]) ).

thf(zip_derived_cl8_002,plain,
    ( ( divide_divide_nat @ deg @ ( numeral_numeral_nat @ ( bit0 @ one ) ) )
    = na ),
    inference(cnf,[status(esa)],[fact_9__092_060open_062deg_Adiv_A2_A_061_An_092_060close_062]) ).

thf(zip_derived_cl5046,plain,
    ~ ( vEBT_vebt_member @ ( nth_VEBT_VEBT @ treeList @ pr ) @ ( vEBT_VEBT_low @ za @ na ) ),
    inference(demod,[status(thm)],[zip_derived_cl5025,zip_derived_cl8,zip_derived_cl5038,zip_derived_cl8]) ).

thf(fact_2_abe,axiom,
    vEBT_vebt_member @ ( nth_VEBT_VEBT @ treeList @ ( vEBT_VEBT_high @ za @ ( divide_divide_nat @ deg @ ( numeral_numeral_nat @ ( bit0 @ one ) ) ) ) ) @ ( vEBT_VEBT_low @ za @ ( divide_divide_nat @ deg @ ( numeral_numeral_nat @ ( bit0 @ one ) ) ) ) ).

thf(zip_derived_cl1,plain,
    vEBT_vebt_member @ ( nth_VEBT_VEBT @ treeList @ ( vEBT_VEBT_high @ za @ ( divide_divide_nat @ deg @ ( numeral_numeral_nat @ ( bit0 @ one ) ) ) ) ) @ ( vEBT_VEBT_low @ za @ ( divide_divide_nat @ deg @ ( numeral_numeral_nat @ ( bit0 @ one ) ) ) ),
    inference(cnf,[status(esa)],[fact_2_abe]) ).

thf(zip_derived_cl0_003,plain,
    ( ( vEBT_VEBT_high @ za @ ( divide_divide_nat @ deg @ ( numeral_numeral_nat @ ( bit0 @ one ) ) ) )
    = pr ),
    inference(cnf,[status(esa)],[fact_0_True]) ).

thf(zip_derived_cl5026,plain,
    vEBT_vebt_member @ ( nth_VEBT_VEBT @ treeList @ pr ) @ ( vEBT_VEBT_low @ za @ ( divide_divide_nat @ deg @ ( numeral_numeral_nat @ ( bit0 @ one ) ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl1,zip_derived_cl0]) ).

thf(zip_derived_cl8_004,plain,
    ( ( divide_divide_nat @ deg @ ( numeral_numeral_nat @ ( bit0 @ one ) ) )
    = na ),
    inference(cnf,[status(esa)],[fact_9__092_060open_062deg_Adiv_A2_A_061_An_092_060close_062]) ).

thf(zip_derived_cl5040,plain,
    vEBT_vebt_member @ ( nth_VEBT_VEBT @ treeList @ pr ) @ ( vEBT_VEBT_low @ za @ na ),
    inference(demod,[status(thm)],[zip_derived_cl5026,zip_derived_cl8]) ).

thf(zip_derived_cl5063,plain,
    $false,
    inference(demod,[status(thm)],[zip_derived_cl5046,zip_derived_cl5040]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.09  % Problem  : ITP239^3 : TPTP v9.2.1. Bugfixed v9.2.1.
% 0.00/0.10  % Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.jAjL33f2F3 true
% 0.11/0.29  % Computer : n003.cluster.edu
% 0.11/0.29  % Model    : x86_64 x86_64
% 0.11/0.29  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.29  % Memory   : 8042.1875MB
% 0.11/0.29  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.11/0.29  % CPULimit : 300
% 0.11/0.29  % WCLimit  : 300
% 0.11/0.29  % DateTime : Thu Feb 26 17:33:11 EST 2026
% 0.11/0.29  % CPUTime  : 
% 0.11/0.29  % Running portfolio for 300 s
% 0.11/0.29  % File         : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.11/0.30  % Number of cores: 8
% 0.11/0.30  % Python version: Python 3.6.8
% 0.11/0.30  % Running in HO mode
% 0.44/0.56  % Total configuration time : 828
% 0.44/0.56  % Estimated wc time : 1656
% 0.44/0.56  % Estimated cpu time (8 cpus) : 207.0
% 0.44/0.65  % /export/starexec/sandbox2/solver/bin/lams/40_c.s.sh running for 80s
% 0.44/0.65  % /export/starexec/sandbox2/solver/bin/lams/40_c_ic.sh running for 80s
% 0.44/0.66  % /export/starexec/sandbox2/solver/bin/lams/35_full_unif4.sh running for 80s
% 0.44/0.66  % /export/starexec/sandbox2/solver/bin/lams/15_e_short1.sh running for 30s
% 0.44/0.66  % /export/starexec/sandbox2/solver/bin/lams/40_noforms.sh running for 90s
% 0.44/0.66  % /export/starexec/sandbox2/solver/bin/lams/40_b.comb.sh running for 70s
% 0.44/0.69  % /export/starexec/sandbox2/solver/bin/lams/20_acsne_simpl.sh running for 40s
% 0.45/0.70  % /export/starexec/sandbox2/solver/bin/lams/30_sp5.sh running for 60s
% 7.03/1.43  % /export/starexec/sandbox2/solver/bin/lams/30_b.l.sh running for 90s
% 18.14/2.80  % Solved by lams/30_sp5.sh.
% 18.14/2.80  % done 0 iterations in 2.072s
% 18.14/2.80  % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 18.14/2.80  % SZS output start Refutation
% See solution above
% 18.14/2.80  
% 18.14/2.80  
% 18.14/2.80  % Terminating...
% 18.14/2.89  % Runner terminated.
% 0.14/2.90  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------