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Zipperpin---2.1.9999.THM-Ref.s

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%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : ITP246^3 : TPTP v9.2.1. Bugfixed v9.2.1.
% Transfm  : none
% Format   : tptp:raw
% Command  : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.f83Y6DWNzu true

% Computer : n023.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 09:48:19 AM UTC 2026

% Result   : Theorem 18.35s 2.98s
% Output   : Refutation 18.35s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    8
%            Number of leaves      :    4
% Syntax   : Number of formulae    :   16 (   9 unt;   0 typ;   0 def)
%            Number of atoms       :   38 (  11 equ;   6 cnn)
%            Maximal formula atoms :    7 (   2 avg)
%            Number of connectives :  194 (  15   ~;  13   |;   0   &; 163   @)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   10 (   6 avg)
%            Number of types       :    3 (   2 usr)
%            Number of type conns  :    0 (   0   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   13 (   9 usr;   7 con; 0-2 aty)
%                                         (   3  !!;   0  ??;   0 @@+;   0 @@-)
%            Number of variables   :   12 (   3   ^;   9   !;   0   ?;  12   :)

% Comments : 
%------------------------------------------------------------------------------
thf(nat_type,type,
    nat: $tType ).

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

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

thf(deg_type,type,
    deg: nat ).

thf(one_type,type,
    one: num ).

thf(ord_less_eq_nat_type,type,
    ord_less_eq_nat: nat > nat > $o ).

thf(za_type,type,
    za: nat ).

thf(xa_type,type,
    xa: nat ).

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

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

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

thf(fact_0_bbbb,axiom,
    ord_less_eq_nat @ ( vEBT_VEBT_high @ za @ ( divide_divide_nat @ deg @ ( numeral_numeral_nat @ ( bit0 @ one ) ) ) ) @ ( vEBT_VEBT_high @ xa @ ( divide_divide_nat @ deg @ ( numeral_numeral_nat @ ( bit0 @ one ) ) ) ) ).

thf(zip_derived_cl0,plain,
    ord_less_eq_nat @ ( vEBT_VEBT_high @ za @ ( divide_divide_nat @ deg @ ( numeral_numeral_nat @ ( bit0 @ one ) ) ) ) @ ( vEBT_VEBT_high @ xa @ ( divide_divide_nat @ deg @ ( numeral_numeral_nat @ ( bit0 @ one ) ) ) ),
    inference(cnf,[status(esa)],[fact_0_bbbb]) ).

thf(fact_49_verit__la__disequality,axiom,
    ! [A: nat,B2: nat] :
      ( ( A = B2 )
      | ~ ( ord_less_eq_nat @ A @ B2 )
      | ~ ( ord_less_eq_nat @ B2 @ A ) ) ).

thf(zip_derived_cl49,plain,
    ( !!
    @ ^ [Y0: nat] :
        ( !!
        @ ^ [Y1: nat] :
            ( ( Y0 = Y1 )
            | ( (~) @ ( ord_less_eq_nat @ Y0 @ Y1 ) )
            | ( (~) @ ( ord_less_eq_nat @ Y1 @ Y0 ) ) ) ) ),
    inference(cnf,[status(esa)],[fact_49_verit__la__disequality]) ).

thf(zip_derived_cl10943,plain,
    ! [X2: nat] :
      ( !!
      @ ^ [Y0: nat] :
          ( ( X2 = Y0 )
          | ( (~) @ ( ord_less_eq_nat @ X2 @ Y0 ) )
          | ( (~) @ ( ord_less_eq_nat @ Y0 @ X2 ) ) ) ),
    inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl49]) ).

thf(zip_derived_cl10944,plain,
    ! [X2: nat,X4: nat] :
      ( ( X2 = X4 )
      | ( (~) @ ( ord_less_eq_nat @ X2 @ X4 ) )
      | ( (~) @ ( ord_less_eq_nat @ X4 @ X2 ) ) ),
    inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl10943]) ).

thf(zip_derived_cl10945,plain,
    ! [X2: nat,X4: nat] :
      ( ( X2 = X4 )
      | ~ ( ord_less_eq_nat @ X2 @ X4 )
      | ~ ( ord_less_eq_nat @ X4 @ X2 ) ),
    inference(lazy_cnf_or,[status(thm)],[zip_derived_cl10944]) ).

thf(zip_derived_cl10946,plain,
    ! [X2: nat,X4: nat] :
      ( ( X2 = X4 )
      | ~ ( ord_less_eq_nat @ X2 @ X4 )
      | ~ ( ord_less_eq_nat @ X4 @ X2 ) ),
    inference('simplify nested equalities',[status(thm)],[zip_derived_cl10945]) ).

thf(zip_derived_cl10950,plain,
    ( ~ ( ord_less_eq_nat @ ( vEBT_VEBT_high @ xa @ ( divide_divide_nat @ deg @ ( numeral_numeral_nat @ ( bit0 @ one ) ) ) ) @ ( vEBT_VEBT_high @ za @ ( divide_divide_nat @ deg @ ( numeral_numeral_nat @ ( bit0 @ one ) ) ) ) )
    | ( ( vEBT_VEBT_high @ za @ ( divide_divide_nat @ deg @ ( numeral_numeral_nat @ ( bit0 @ one ) ) ) )
      = ( vEBT_VEBT_high @ xa @ ( divide_divide_nat @ deg @ ( numeral_numeral_nat @ ( bit0 @ one ) ) ) ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl0,zip_derived_cl10946]) ).

thf(fact_2_aaaa,axiom,
    ord_less_eq_nat @ ( vEBT_VEBT_high @ xa @ ( divide_divide_nat @ deg @ ( numeral_numeral_nat @ ( bit0 @ one ) ) ) ) @ ( vEBT_VEBT_high @ za @ ( divide_divide_nat @ deg @ ( numeral_numeral_nat @ ( bit0 @ one ) ) ) ) ).

thf(zip_derived_cl2,plain,
    ord_less_eq_nat @ ( vEBT_VEBT_high @ xa @ ( divide_divide_nat @ deg @ ( numeral_numeral_nat @ ( bit0 @ one ) ) ) ) @ ( vEBT_VEBT_high @ za @ ( divide_divide_nat @ deg @ ( numeral_numeral_nat @ ( bit0 @ one ) ) ) ),
    inference(cnf,[status(esa)],[fact_2_aaaa]) ).

thf(zip_derived_cl10968,plain,
    ( ( vEBT_VEBT_high @ za @ ( divide_divide_nat @ deg @ ( numeral_numeral_nat @ ( bit0 @ one ) ) ) )
    = ( vEBT_VEBT_high @ xa @ ( divide_divide_nat @ deg @ ( numeral_numeral_nat @ ( bit0 @ one ) ) ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl10950,zip_derived_cl2]) ).

thf(conj_0,conjecture,
    ( ( vEBT_VEBT_high @ xa @ ( divide_divide_nat @ deg @ ( numeral_numeral_nat @ ( bit0 @ one ) ) ) )
    = ( vEBT_VEBT_high @ za @ ( divide_divide_nat @ deg @ ( numeral_numeral_nat @ ( bit0 @ one ) ) ) ) ) ).

thf(zf_stmt_0,negated_conjecture,
    ( ( vEBT_VEBT_high @ xa @ ( divide_divide_nat @ deg @ ( numeral_numeral_nat @ ( bit0 @ one ) ) ) )
   != ( vEBT_VEBT_high @ za @ ( divide_divide_nat @ deg @ ( numeral_numeral_nat @ ( bit0 @ one ) ) ) ) ),
    inference('cnf.neg',[status(esa)],[conj_0]) ).

thf(zip_derived_cl10256,plain,
    ( ( vEBT_VEBT_high @ xa @ ( divide_divide_nat @ deg @ ( numeral_numeral_nat @ ( bit0 @ one ) ) ) )
   != ( vEBT_VEBT_high @ za @ ( divide_divide_nat @ deg @ ( numeral_numeral_nat @ ( bit0 @ one ) ) ) ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl10969,plain,
    $false,
    inference('simplify_reflect-',[status(thm)],[zip_derived_cl10968,zip_derived_cl10256]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem  : ITP246^3 : TPTP v9.2.1. Bugfixed v9.2.1.
% 0.11/0.13  % Command  : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.f83Y6DWNzu true
% 0.16/0.34  % Computer : n023.cluster.edu
% 0.16/0.34  % Model    : x86_64 x86_64
% 0.16/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.34  % Memory   : 8042.1875MB
% 0.16/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.16/0.34  % CPULimit : 300
% 0.16/0.34  % WCLimit  : 300
% 0.16/0.34  % DateTime : Thu Feb 26 21:44:05 EST 2026
% 0.16/0.34  % CPUTime  : 
% 0.16/0.34  % Running portfolio for 300 s
% 0.16/0.34  % File         : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.16/0.35  % Number of cores: 8
% 0.16/0.35  % Python version: Python 3.6.8
% 0.16/0.35  % Running in HO mode
% 0.55/0.67  % Total configuration time : 828
% 0.55/0.67  % Estimated wc time : 1656
% 0.55/0.67  % Estimated cpu time (8 cpus) : 207.0
% 0.55/0.71  % /export/starexec/sandbox/solver/bin/lams/40_c.s.sh running for 80s
% 0.55/0.74  % /export/starexec/sandbox/solver/bin/lams/35_full_unif4.sh running for 80s
% 0.55/0.74  % /export/starexec/sandbox/solver/bin/lams/40_c_ic.sh running for 80s
% 0.55/0.75  % /export/starexec/sandbox/solver/bin/lams/15_e_short1.sh running for 30s
% 0.55/0.75  % /export/starexec/sandbox/solver/bin/lams/40_noforms.sh running for 90s
% 0.55/0.75  % /export/starexec/sandbox/solver/bin/lams/40_b.comb.sh running for 70s
% 0.55/0.75  % /export/starexec/sandbox/solver/bin/lams/20_acsne_simpl.sh running for 40s
% 0.55/0.75  % /export/starexec/sandbox/solver/bin/lams/30_sp5.sh running for 60s
% 4.84/1.20  % /export/starexec/sandbox/solver/bin/lams/30_b.l.sh running for 90s
% 18.35/2.98  % Solved by lams/35_full_unif4.sh.
% 18.35/2.98  % done 636 iterations in 2.224s
% 18.35/2.98  % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 18.35/2.98  % SZS output start Refutation
% See solution above
% 18.35/2.98  
% 18.35/2.98  
% 18.35/2.98  % Terminating...
% 19.24/3.09  % Runner terminated.
% 19.24/3.10  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------