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Zipperpin---2.1.9999.THM-Ref.s

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%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : ITP243^3 : 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.Fbe4tm8lo8 true

% Computer : n017.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 09:48:18 AM UTC 2026

% Result   : Theorem 9.60s 1.82s
% Output   : Refutation 9.60s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    5
%            Number of leaves      :    3
% Syntax   : Number of formulae    :   10 (   8 unt;   0 typ;   0 def)
%            Number of atoms       :   12 (   6 equ;   0 cnn)
%            Maximal formula atoms :    2 (   1 avg)
%            Number of connectives :   80 (   5   ~;   1   |;   0   &;  73   @)
%                                         (   1 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    8 (   5 avg)
%            Number of types       :    6 (   5 usr)
%            Number of type conns  :    0 (   0   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   15 (  13 usr;   6 con; 0-3 aty)
%            Number of variables   :    4 (   0   ^;   4   !;   0   ?;   4   :)

% Comments : 
%------------------------------------------------------------------------------
thf(option_nat_type,type,
    option_nat: $tType ).

thf(vEBT_VEBT_type,type,
    vEBT_VEBT: $tType ).

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

thf(set_nat_type,type,
    set_nat: $tType ).

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

thf(sc_type,type,
    sc: nat ).

thf(deg_type,type,
    deg: nat ).

thf(vEBT_vebt_succ_type,type,
    vEBT_vebt_succ: vEBT_VEBT > nat > option_nat ).

thf(some_nat_type,type,
    some_nat: nat > option_nat ).

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

thf(vEBT_is_succ_in_set_type,type,
    vEBT_is_succ_in_set: set_nat > nat > nat > $o ).

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

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

thf(summary_type,type,
    summary: vEBT_VEBT ).

thf(one_type,type,
    one: num ).

thf(xa_type,type,
    xa: nat ).

thf(vEBT_VEBT_set_vebt_type,type,
    vEBT_VEBT_set_vebt: vEBT_VEBT > set_nat ).

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

thf(fact_0__C4_Ohyps_C_I3_J,axiom,
    ! [X: nat,Sx: nat] :
      ( ( ( vEBT_vebt_succ @ summary @ X )
        = ( some_nat @ Sx ) )
    <=> ( vEBT_is_succ_in_set @ ( vEBT_VEBT_set_vebt @ summary ) @ X @ Sx ) ) ).

thf(zip_derived_cl0,plain,
    ! [X0: nat,X1: nat] :
      ( ( vEBT_is_succ_in_set @ ( vEBT_VEBT_set_vebt @ summary ) @ X0 @ X1 )
      | ( ( vEBT_vebt_succ @ summary @ X0 )
       != ( some_nat @ X1 ) ) ),
    inference(cnf,[status(esa)],[fact_0__C4_Ohyps_C_I3_J]) ).

thf(conj_0,conjecture,
    vEBT_is_succ_in_set @ ( vEBT_VEBT_set_vebt @ summary ) @ ( vEBT_VEBT_high @ xa @ ( divide_divide_nat @ deg @ ( numeral_numeral_nat @ ( bit0 @ one ) ) ) ) @ sc ).

thf(zf_stmt_0,negated_conjecture,
    ~ ( vEBT_is_succ_in_set @ ( vEBT_VEBT_set_vebt @ summary ) @ ( vEBT_VEBT_high @ xa @ ( divide_divide_nat @ deg @ ( numeral_numeral_nat @ ( bit0 @ one ) ) ) ) @ sc ),
    inference('cnf.neg',[status(esa)],[conj_0]) ).

thf(zip_derived_cl198,plain,
    ~ ( vEBT_is_succ_in_set @ ( vEBT_VEBT_set_vebt @ summary ) @ ( vEBT_VEBT_high @ xa @ ( divide_divide_nat @ deg @ ( numeral_numeral_nat @ ( bit0 @ one ) ) ) ) @ sc ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl200,plain,
    ( ( vEBT_vebt_succ @ summary @ ( vEBT_VEBT_high @ xa @ ( divide_divide_nat @ deg @ ( numeral_numeral_nat @ ( bit0 @ one ) ) ) ) )
   != ( some_nat @ sc ) ),
    inference('sup-',[status(thm)],[zip_derived_cl0,zip_derived_cl198]) ).

thf(fact_1__092_060open_062vebt__succ_Asummary_A_Ihigh_Ax_A_Ideg_Adiv_A2_J_J_A_061_ASome_Asc_092_060close_062,axiom,
    ( ( vEBT_vebt_succ @ summary @ ( vEBT_VEBT_high @ xa @ ( divide_divide_nat @ deg @ ( numeral_numeral_nat @ ( bit0 @ one ) ) ) ) )
    = ( some_nat @ sc ) ) ).

thf(zip_derived_cl2,plain,
    ( ( vEBT_vebt_succ @ summary @ ( vEBT_VEBT_high @ xa @ ( divide_divide_nat @ deg @ ( numeral_numeral_nat @ ( bit0 @ one ) ) ) ) )
    = ( some_nat @ sc ) ),
    inference(cnf,[status(esa)],[fact_1__092_060open_062vebt__succ_Asummary_A_Ihigh_Ax_A_Ideg_Adiv_A2_J_J_A_061_ASome_Asc_092_060close_062]) ).

thf(zip_derived_cl379,plain,
    ( ( some_nat @ sc )
   != ( some_nat @ sc ) ),
    inference(demod,[status(thm)],[zip_derived_cl200,zip_derived_cl2]) ).

thf(zip_derived_cl380,plain,
    $false,
    inference(simplify,[status(thm)],[zip_derived_cl379]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11  % Problem  : ITP243^3 : TPTP v9.2.1. Bugfixed v9.2.1.
% 0.00/0.12  % Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.Fbe4tm8lo8 true
% 0.13/0.32  % Computer : n017.cluster.edu
% 0.13/0.32  % Model    : x86_64 x86_64
% 0.13/0.32  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.32  % Memory   : 8042.1875MB
% 0.13/0.32  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.32  % CPULimit : 300
% 0.13/0.32  % WCLimit  : 300
% 0.13/0.32  % DateTime : Thu Feb 26 19:56:56 EST 2026
% 0.13/0.32  % CPUTime  : 
% 0.13/0.32  % Running portfolio for 300 s
% 0.13/0.32  % File         : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.13/0.33  % Number of cores: 8
% 0.13/0.33  % Python version: Python 3.6.8
% 0.13/0.33  % Running in HO mode
% 0.55/0.68  % Total configuration time : 828
% 0.55/0.68  % Estimated wc time : 1656
% 0.55/0.68  % Estimated cpu time (8 cpus) : 207.0
% 0.56/0.76  % /export/starexec/sandbox2/solver/bin/lams/40_c.s.sh running for 80s
% 0.56/0.76  % /export/starexec/sandbox2/solver/bin/lams/35_full_unif4.sh running for 80s
% 0.56/0.77  % /export/starexec/sandbox2/solver/bin/lams/40_c_ic.sh running for 80s
% 0.56/0.78  % /export/starexec/sandbox2/solver/bin/lams/40_noforms.sh running for 90s
% 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_b.comb.sh running for 70s
% 0.56/0.79  % /export/starexec/sandbox2/solver/bin/lams/20_acsne_simpl.sh running for 40s
% 0.56/0.79  % /export/starexec/sandbox2/solver/bin/lams/30_sp5.sh running for 60s
% 9.60/1.82  % Solved by lams/40_c_ic.sh.
% 9.60/1.82  % done 53 iterations in 1.024s
% 9.60/1.82  % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 9.60/1.82  % SZS output start Refutation
% See solution above
% 9.60/1.82  
% 9.60/1.82  
% 9.60/1.82  % Terminating...
% 9.60/1.88  % Runner terminated.
% 0.18/1.91  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------