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Zipperpin---2.1.9999.THM-Ref.s

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%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : ITP276^1 : 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.PTPOYLxBUI 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 09:48:30 AM UTC 2026

% Result   : Theorem 133.55s 19.48s
% Output   : Refutation 133.55s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    2
%            Number of leaves      :    5
% Syntax   : Number of formulae    :   11 (   7 unt;   0 typ;   0 def)
%            Number of atoms       :   16 (   7 equ;   0 cnn)
%            Maximal formula atoms :    3 (   1 avg)
%            Number of connectives :   41 (   4   ~;   3   |;   0   &;  32   @)
%                                         (   2 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    7 (   4 avg)
%            Number of types       :    3 (   2 usr)
%            Number of type conns  :    0 (   0   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   10 (   8 usr;   4 con; 0-2 aty)
%            Number of variables   :    6 (   0   ^;   6   !;   0   ?;   6   :)

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

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

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

thf(deg_type,type,
    deg: nat ).

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

thf(suc_type,type,
    suc: nat > nat ).

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

thf(zero_zero_nat_type,type,
    zero_zero_nat: nat ).

thf(one_type,type,
    one: num ).

thf(ord_less_nat_type,type,
    ord_less_nat: nat > nat > $o ).

thf(fact_2986_a0,axiom,
    ord_less_eq_nat @ ( numeral_numeral_nat @ ( bit0 @ one ) ) @ deg ).

thf(zip_derived_cl3004,plain,
    ord_less_eq_nat @ ( numeral_numeral_nat @ ( bit0 @ one ) ) @ deg,
    inference(cnf,[status(esa)],[fact_2986_a0]) ).

thf(fact_3350_less__2__cases__iff,axiom,
    ! [N: nat] :
      ( ( ord_less_nat @ N @ ( numeral_numeral_nat @ ( bit0 @ one ) ) )
    <=> ( ( N
          = ( suc @ zero_zero_nat ) )
        | ( N = zero_zero_nat ) ) ) ).

thf(zip_derived_cl3253,plain,
    ! [X0: nat] :
      ( ( ord_less_nat @ X0 @ ( numeral_numeral_nat @ ( bit0 @ one ) ) )
      | ( X0
       != ( suc @ zero_zero_nat ) ) ),
    inference(cnf,[status(esa)],[fact_3350_less__2__cases__iff]) ).

thf(fact_3357_numeral__1__eq__Suc__0,axiom,
    ( ( numeral_numeral_nat @ one )
    = ( suc @ zero_zero_nat ) ) ).

thf(zip_derived_cl3258,plain,
    ( ( numeral_numeral_nat @ one )
    = ( suc @ zero_zero_nat ) ),
    inference(cnf,[status(esa)],[fact_3357_numeral__1__eq__Suc__0]) ).

thf(fact_75__C1_C_I2_J,axiom,
    ( deg
    = ( suc @ zero_zero_nat ) ) ).

thf(zip_derived_cl39,plain,
    ( deg
    = ( suc @ zero_zero_nat ) ),
    inference(cnf,[status(esa)],[fact_75__C1_C_I2_J]) ).

thf(fact_2323_verit__comp__simplify1_I3_J,axiom,
    ! [B2: nat,A2: nat] :
      ( ~ ( ord_less_eq_nat @ B2 @ A2 )
    <=> ( ord_less_nat @ A2 @ B2 ) ) ).

thf(zip_derived_cl2619,plain,
    ! [X0: nat,X1: nat] :
      ( ~ ( ord_less_eq_nat @ X0 @ X1 )
      | ~ ( ord_less_nat @ X1 @ X0 ) ),
    inference(cnf,[status(esa)],[fact_2323_verit__comp__simplify1_I3_J]) ).

thf(zip_derived_cl24415,plain,
    $false,
    inference(eprover,[status(thm)],[zip_derived_cl3004,zip_derived_cl3253,zip_derived_cl3258,zip_derived_cl39,zip_derived_cl2619]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.10  % Problem  : ITP276^1 : TPTP v9.2.1. Bugfixed v9.2.1.
% 0.00/0.11  % Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.PTPOYLxBUI true
% 0.13/0.31  % Computer : n017.cluster.edu
% 0.13/0.31  % Model    : x86_64 x86_64
% 0.13/0.31  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.31  % Memory   : 8042.1875MB
% 0.13/0.31  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.31  % CPULimit : 300
% 0.13/0.31  % WCLimit  : 300
% 0.13/0.31  % DateTime : Fri Feb 27 13:35:11 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
% 0.13/0.32  % Number of cores: 8
% 0.13/0.32  % Python version: Python 3.6.8
% 0.13/0.32  % Running in HO mode
% 0.44/0.62  % Total configuration time : 828
% 0.44/0.62  % Estimated wc time : 1656
% 0.44/0.62  % Estimated cpu time (8 cpus) : 207.0
% 0.49/0.71  % /export/starexec/sandbox2/solver/bin/lams/40_c.s.sh running for 80s
% 0.49/0.71  % /export/starexec/sandbox2/solver/bin/lams/35_full_unif4.sh running for 80s
% 0.49/0.71  % /export/starexec/sandbox2/solver/bin/lams/40_c_ic.sh running for 80s
% 0.49/0.72  % /export/starexec/sandbox2/solver/bin/lams/15_e_short1.sh running for 30s
% 0.49/0.72  % /export/starexec/sandbox2/solver/bin/lams/40_b.comb.sh running for 70s
% 0.49/0.72  % /export/starexec/sandbox2/solver/bin/lams/40_noforms.sh running for 90s
% 0.49/0.72  % /export/starexec/sandbox2/solver/bin/lams/20_acsne_simpl.sh running for 40s
% 0.49/0.72  % /export/starexec/sandbox2/solver/bin/lams/30_sp5.sh running for 60s
% 7.52/1.57  % /export/starexec/sandbox2/solver/bin/lams/30_b.l.sh running for 90s
% 133.55/19.48  % Solved by lams/40_c.s.sh.
% 133.55/19.48  % done 952 iterations in 18.749s
% 133.55/19.48  % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 133.55/19.48  % SZS output start Refutation
% See solution above
% 133.55/19.48  
% 133.55/19.48  
% 133.55/19.49  % Terminating...
% 135.18/19.58  % Runner terminated.
% 0.97/19.61  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------