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Zipperpin---2.1.9999.THM-Ref.s

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%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : ITP225^3 : 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.1lnZAf2gfP true

% Computer : n015.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 09:48:11 AM UTC 2026

% Result   : Theorem 11.54s 2.14s
% Output   : Refutation 11.54s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    6
%            Number of leaves      :    4
% Syntax   : Number of formulae    :   13 (  11 unt;   0 typ;   0 def)
%            Number of atoms       :   15 (   9 equ;   0 cnn)
%            Maximal formula atoms :    2 (   1 avg)
%            Number of connectives :   23 (   6   ~;   1   |;   0   &;  15   @)
%                                         (   1 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    5 (   3 avg)
%            Number of types       :    2 (   1 usr)
%            Number of type conns  :    0 (   0   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :    7 (   5 usr;   4 con; 0-2 aty)
%            Number of variables   :    4 (   0   ^;   4   !;   0   ?;   4   :)

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

thf(m_type,type,
    m: nat ).

thf(na_type,type,
    na: nat ).

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

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

thf(zero_zero_nat_type,type,
    zero_zero_nat: nat ).

thf(fact_4__C3_Ohyps_C_I3_J,axiom,
    ( m
    = ( suc @ na ) ) ).

thf(zip_derived_cl7,plain,
    ( m
    = ( suc @ na ) ),
    inference(cnf,[status(esa)],[fact_4__C3_Ohyps_C_I3_J]) ).

thf(fact_0_bot__nat__0_Onot__eq__extremum,axiom,
    ! [A: nat] :
      ( ( A != zero_zero_nat )
    <=> ( ord_less_nat @ zero_zero_nat @ A ) ) ).

thf(zip_derived_cl0,plain,
    ! [X0: nat] :
      ( ( ord_less_nat @ zero_zero_nat @ X0 )
      | ( X0 = zero_zero_nat ) ),
    inference(cnf,[status(esa)],[fact_0_bot__nat__0_Onot__eq__extremum]) ).

thf(conj_0,conjecture,
    ord_less_nat @ zero_zero_nat @ m ).

thf(zf_stmt_0,negated_conjecture,
    ~ ( ord_less_nat @ zero_zero_nat @ m ),
    inference('cnf.neg',[status(esa)],[conj_0]) ).

thf(zip_derived_cl6636,plain,
    ~ ( ord_less_nat @ zero_zero_nat @ m ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl6637,plain,
    m = zero_zero_nat,
    inference('sup-',[status(thm)],[zip_derived_cl0,zip_derived_cl6636]) ).

thf(zip_derived_cl6655,plain,
    ( zero_zero_nat
    = ( suc @ na ) ),
    inference(demod,[status(thm)],[zip_derived_cl7,zip_derived_cl6637]) ).

thf(fact_21_Zero__not__Suc,axiom,
    ! [M: nat] :
      ( zero_zero_nat
     != ( suc @ M ) ) ).

thf(zip_derived_cl29,plain,
    ! [X0: nat] :
      ( zero_zero_nat
     != ( suc @ X0 ) ),
    inference(cnf,[status(esa)],[fact_21_Zero__not__Suc]) ).

thf(zip_derived_cl6659,plain,
    zero_zero_nat != zero_zero_nat,
    inference('sup-',[status(thm)],[zip_derived_cl6655,zip_derived_cl29]) ).

thf(zip_derived_cl6661,plain,
    $false,
    inference(simplify,[status(thm)],[zip_derived_cl6659]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem  : ITP225^3 : TPTP v9.2.1. Bugfixed v9.2.1.
% 0.12/0.13  % Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.1lnZAf2gfP true
% 0.15/0.34  % Computer : n015.cluster.edu
% 0.15/0.34  % Model    : x86_64 x86_64
% 0.15/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.34  % Memory   : 8042.1875MB
% 0.15/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.15/0.34  % CPULimit : 300
% 0.15/0.34  % WCLimit  : 300
% 0.15/0.34  % DateTime : Thu Feb 26 09:46:16 EST 2026
% 0.15/0.34  % CPUTime  : 
% 0.15/0.34  % Running portfolio for 300 s
% 0.15/0.34  % File         : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.15/0.34  % Number of cores: 8
% 0.15/0.35  % Python version: Python 3.6.8
% 0.15/0.35  % Running in HO mode
% 0.54/0.64  % Total configuration time : 828
% 0.54/0.64  % Estimated wc time : 1656
% 0.54/0.64  % Estimated cpu time (8 cpus) : 207.0
% 0.55/0.71  % /export/starexec/sandbox2/solver/bin/lams/40_c.s.sh running for 80s
% 0.55/0.71  % /export/starexec/sandbox2/solver/bin/lams/35_full_unif4.sh running for 80s
% 0.55/0.71  % /export/starexec/sandbox2/solver/bin/lams/40_c_ic.sh running for 80s
% 0.55/0.71  % /export/starexec/sandbox2/solver/bin/lams/15_e_short1.sh running for 30s
% 0.55/0.73  % /export/starexec/sandbox2/solver/bin/lams/40_noforms.sh running for 90s
% 0.55/0.74  % /export/starexec/sandbox2/solver/bin/lams/40_b.comb.sh running for 70s
% 0.55/0.74  % /export/starexec/sandbox2/solver/bin/lams/20_acsne_simpl.sh running for 40s
% 0.55/0.76  % /export/starexec/sandbox2/solver/bin/lams/30_sp5.sh running for 60s
% 4.89/1.26  % /export/starexec/sandbox2/solver/bin/lams/30_b.l.sh running for 90s
% 11.54/2.14  % Solved by lams/40_c.s.sh.
% 11.54/2.14  % done 47 iterations in 1.417s
% 11.54/2.14  % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 11.54/2.14  % SZS output start Refutation
% See solution above
% 11.54/2.14  
% 11.54/2.14  
% 11.54/2.14  % Terminating...
% 12.75/2.24  % Runner terminated.
% 12.75/2.25  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------