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Zipperpin---2.1.9999.THM-Ref.s

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%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : ITP224^1 : 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.spDOAt4VzH 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 09:48:10 AM UTC 2026

% Result   : Theorem 23.61s 3.64s
% Output   : Refutation 23.61s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    9
%            Number of leaves      :    8
% Syntax   : Number of formulae    :   28 (  22 unt;   0 typ;   0 def)
%            Number of atoms       :   50 (  20 equ;   0 cnn)
%            Maximal formula atoms :    3 (   1 avg)
%            Number of connectives :   79 (   2   ~;   0   |;   0   &;  69   @)
%                                         (   3 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    6 (   3 avg)
%            Number of types       :    3 (   2 usr)
%            Number of type conns  :    0 (   0   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   11 (   8 usr;   7 con; 0-2 aty)
%                                         (   5  !!;   0  ??;   0 @@+;   0 @@-)
%            Number of variables   :   17 (   5   ^;  12   !;   0   ?;  17   :)

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

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

thf(m_type,type,
    m: nat ).

thf(zero_zero_nat_type,type,
    zero_zero_nat: nat ).

thf(plus_plus_nat_type,type,
    plus_plus_nat: nat > nat > nat ).

thf(na_type,type,
    na: nat ).

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

thf(deg_type,type,
    deg: nat ).

thf(vEBT_invar_vebt_type,type,
    vEBT_invar_vebt: vEBT_VEBT > nat > $o ).

thf(summary_type,type,
    summary: vEBT_VEBT ).

thf(conj_3,axiom,
    vEBT_invar_vebt @ summary @ m ).

thf(zip_derived_cl10251,plain,
    vEBT_invar_vebt @ summary @ m,
    inference(cnf,[status(esa)],[conj_3]) ).

thf(fact_58_le__zero__eq,axiom,
    ! [N2: nat] :
      ( ( ord_less_eq_nat @ N2 @ zero_zero_nat )
    <=> ( N2 = zero_zero_nat ) ) ).

thf(zip_derived_cl58,plain,
    ( !!
    @ ^ [Y0: nat] :
        ( ( ord_less_eq_nat @ Y0 @ zero_zero_nat )
      <=> ( Y0 = zero_zero_nat ) ) ),
    inference(cnf,[status(esa)],[fact_58_le__zero__eq]) ).

thf(zip_derived_cl11763,plain,
    ! [X2: nat] :
      ( ( ord_less_eq_nat @ X2 @ zero_zero_nat )
    <=> ( X2 = zero_zero_nat ) ),
    inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl58]) ).

thf(zip_derived_cl11764,plain,
    ! [X2: nat] :
      ( ( ord_less_eq_nat @ X2 @ zero_zero_nat )
      = ( X2 = zero_zero_nat ) ),
    inference('simplify nested equalities',[status(thm)],[zip_derived_cl11763]) ).

thf(conj_6,axiom,
    ( deg
    = ( plus_plus_nat @ na @ m ) ) ).

thf(zip_derived_cl10254,plain,
    ( deg
    = ( plus_plus_nat @ na @ m ) ),
    inference(cnf,[status(esa)],[conj_6]) ).

thf(conj_1,axiom,
    zero_zero_nat = deg ).

thf(zip_derived_cl10249,plain,
    zero_zero_nat = deg,
    inference(cnf,[status(esa)],[conj_1]) ).

thf(conj_5,axiom,
    m = na ).

thf(zip_derived_cl10253,plain,
    m = na,
    inference(cnf,[status(esa)],[conj_5]) ).

thf(zip_derived_cl10818,plain,
    ( zero_zero_nat
    = ( plus_plus_nat @ m @ m ) ),
    inference(demod,[status(thm)],[zip_derived_cl10254,zip_derived_cl10249,zip_derived_cl10253]) ).

thf(fact_37_le__add__same__cancel1,axiom,
    ! [A: nat,B: nat] :
      ( ( ord_less_eq_nat @ A @ ( plus_plus_nat @ A @ B ) )
      = ( ord_less_eq_nat @ zero_zero_nat @ B ) ) ).

thf(zip_derived_cl37,plain,
    ( !!
    @ ^ [Y0: nat] :
        ( !!
        @ ^ [Y1: nat] :
            ( ( ord_less_eq_nat @ Y0 @ ( plus_plus_nat @ Y0 @ Y1 ) )
            = ( ord_less_eq_nat @ zero_zero_nat @ Y1 ) ) ) ),
    inference(cnf,[status(esa)],[fact_37_le__add__same__cancel1]) ).

thf(zip_derived_cl10813,plain,
    ! [X2: nat] :
      ( !!
      @ ^ [Y0: nat] :
          ( ( ord_less_eq_nat @ X2 @ ( plus_plus_nat @ X2 @ Y0 ) )
          = ( ord_less_eq_nat @ zero_zero_nat @ Y0 ) ) ),
    inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl37]) ).

thf(zip_derived_cl10814,plain,
    ! [X2: nat,X4: nat] :
      ( ( ord_less_eq_nat @ X2 @ ( plus_plus_nat @ X2 @ X4 ) )
      = ( ord_less_eq_nat @ zero_zero_nat @ X4 ) ),
    inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl10813]) ).

thf(zip_derived_cl10815,plain,
    ! [X2: nat,X4: nat] :
      ( ( ord_less_eq_nat @ X2 @ ( plus_plus_nat @ X2 @ X4 ) )
      = ( ord_less_eq_nat @ zero_zero_nat @ X4 ) ),
    inference('simplify nested equalities',[status(thm)],[zip_derived_cl10814]) ).

thf(zip_derived_cl10819,plain,
    ( ( ord_less_eq_nat @ m @ zero_zero_nat )
    = ( ord_less_eq_nat @ zero_zero_nat @ m ) ),
    inference('sup+',[status(thm)],[zip_derived_cl10818,zip_derived_cl10815]) ).

thf(fact_212_zero__le,axiom,
    ! [X: nat] : ( ord_less_eq_nat @ zero_zero_nat @ X ) ).

thf(zip_derived_cl212,plain,
    ( !!
    @ ^ [Y0: nat] : ( ord_less_eq_nat @ zero_zero_nat @ Y0 ) ),
    inference(cnf,[status(esa)],[fact_212_zero__le]) ).

thf(zip_derived_cl11156,plain,
    ! [X2: nat] : ( ord_less_eq_nat @ zero_zero_nat @ X2 ),
    inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl212]) ).

thf(zip_derived_cl11159,plain,
    ord_less_eq_nat @ m @ zero_zero_nat,
    inference(demod,[status(thm)],[zip_derived_cl10819,zip_derived_cl11156]) ).

thf(zip_derived_cl11766,plain,
    m = zero_zero_nat,
    inference('sup+',[status(thm)],[zip_derived_cl11764,zip_derived_cl11159]) ).

thf(zip_derived_cl11801,plain,
    m = zero_zero_nat,
    inference('simplify nested equalities',[status(thm)],[zip_derived_cl11766]) ).

thf(fact_0_Node_OIH_I2_J,axiom,
    ~ ( vEBT_invar_vebt @ summary @ zero_zero_nat ) ).

thf(zip_derived_cl0,plain,
    ~ ( vEBT_invar_vebt @ summary @ zero_zero_nat ),
    inference(cnf,[status(esa)],[fact_0_Node_OIH_I2_J]) ).

thf(zip_derived_cl11819,plain,
    $false,
    inference(demod,[status(thm)],[zip_derived_cl10251,zip_derived_cl11801,zip_derived_cl0]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem  : ITP224^1 : TPTP v9.2.1. Bugfixed v9.2.1.
% 0.12/0.14  % Command  : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.spDOAt4VzH true
% 0.17/0.35  % Computer : n003.cluster.edu
% 0.17/0.35  % Model    : x86_64 x86_64
% 0.17/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.17/0.35  % Memory   : 8042.1875MB
% 0.17/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.17/0.35  % CPULimit : 300
% 0.17/0.35  % WCLimit  : 300
% 0.17/0.35  % DateTime : Thu Feb 26 08:59:41 EST 2026
% 0.17/0.35  % CPUTime  : 
% 0.17/0.35  % Running portfolio for 300 s
% 0.17/0.35  % File         : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.17/0.35  % Number of cores: 8
% 0.17/0.36  % Python version: Python 3.6.8
% 0.17/0.36  % Running in HO mode
% 0.55/0.66  % Total configuration time : 828
% 0.55/0.66  % Estimated wc time : 1656
% 0.55/0.66  % Estimated cpu time (8 cpus) : 207.0
% 0.59/0.78  % /export/starexec/sandbox/solver/bin/lams/40_c.s.sh running for 80s
% 0.59/0.79  % /export/starexec/sandbox/solver/bin/lams/35_full_unif4.sh running for 80s
% 0.59/0.80  % /export/starexec/sandbox/solver/bin/lams/40_noforms.sh running for 90s
% 0.60/0.80  % /export/starexec/sandbox/solver/bin/lams/40_c_ic.sh running for 80s
% 0.60/0.80  % /export/starexec/sandbox/solver/bin/lams/15_e_short1.sh running for 30s
% 0.60/0.80  % /export/starexec/sandbox/solver/bin/lams/40_b.comb.sh running for 70s
% 0.60/0.80  % /export/starexec/sandbox/solver/bin/lams/20_acsne_simpl.sh running for 40s
% 0.60/0.81  % /export/starexec/sandbox/solver/bin/lams/30_sp5.sh running for 60s
% 5.34/1.30  % /export/starexec/sandbox/solver/bin/lams/30_b.l.sh running for 90s
% 23.61/3.64  % Solved by lams/35_full_unif4.sh.
% 23.61/3.64  % done 760 iterations in 2.833s
% 23.61/3.64  % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 23.61/3.64  % SZS output start Refutation
% See solution above
% 23.61/3.64  
% 23.61/3.64  
% 23.61/3.64  % Terminating...
% 4.91/3.71  % Runner terminated.
% 4.91/3.73  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------