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Zipperpin---2.1.9999.THM-Ref.s

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%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : ITP056^1 : TPTP v9.2.0. Released v7.5.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.MzgyriKpns true

% Computer : n021.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 : Thu Oct  2 04:38:41 PM UTC 2025

% Result   : Theorem 0.84s 0.71s
% Output   : Refutation 0.84s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    5
%            Number of leaves      :    3
% Syntax   : Number of formulae    :   10 (   7 unt;   0 typ;   0 def)
%            Number of atoms       :   13 (  12 equ;   0 cnn)
%            Maximal formula atoms :    2 (   1 avg)
%            Number of connectives :   56 (   6   ~;   2   |;   0   &;  47   @)
%                                         (   0 <=>;   1  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    4 (   2 avg)
%            Number of types       :    3 (   3 usr)
%            Number of type conns  :    0 (   0   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   10 (   8 usr;   4 con; 0-2 aty)
%            Number of variables   :    2 (   0   ^;   2   !;   0   ?;   2   :)

% Comments : 
%------------------------------------------------------------------------------
thf(list_c1059388851t_unit_type,type,
    list_c1059388851t_unit: $tType ).

thf(config256849571t_unit_type,type,
    config256849571t_unit: $tType ).

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

thf(fe_type,type,
    fe: nat > list_c1059388851t_unit ).

thf(one_one_nat_type,type,
    one_one_nat: nat ).

thf(nil_co1338500125t_unit_type,type,
    nil_co1338500125t_unit: list_c1059388851t_unit ).

thf(n_type,type,
    n: nat ).

thf(nth_co1649820636t_unit_type,type,
    nth_co1649820636t_unit: list_c1059388851t_unit > nat > config256849571t_unit ).

thf(last_c571238084t_unit_type,type,
    last_c571238084t_unit: list_c1059388851t_unit > config256849571t_unit ).

thf(minus_minus_nat_type,type,
    minus_minus_nat: nat > nat > nat ).

thf(size_s1406904903t_unit_type,type,
    size_s1406904903t_unit: list_c1059388851t_unit > nat ).

thf(fact_1_LastIsLastIndex,axiom,
    ! [L: list_c1059388851t_unit] :
      ( ( L != nil_co1338500125t_unit )
     => ( ( last_c571238084t_unit @ L )
        = ( nth_co1649820636t_unit @ L @ ( minus_minus_nat @ ( size_s1406904903t_unit @ L ) @ one_one_nat ) ) ) ) ).

thf(zip_derived_cl1,plain,
    ! [X0: list_c1059388851t_unit] :
      ( ( ( last_c571238084t_unit @ X0 )
        = ( nth_co1649820636t_unit @ X0 @ ( minus_minus_nat @ ( size_s1406904903t_unit @ X0 ) @ one_one_nat ) ) )
      | ( X0 = nil_co1338500125t_unit ) ),
    inference(cnf,[status(esa)],[fact_1_LastIsLastIndex]) ).

thf(conj_0,conjecture,
    ( ( last_c571238084t_unit @ ( fe @ n ) )
    = ( nth_co1649820636t_unit @ ( fe @ n ) @ ( minus_minus_nat @ ( size_s1406904903t_unit @ ( fe @ n ) ) @ one_one_nat ) ) ) ).

thf(zf_stmt_0,negated_conjecture,
    ( ( last_c571238084t_unit @ ( fe @ n ) )
   != ( nth_co1649820636t_unit @ ( fe @ n ) @ ( minus_minus_nat @ ( size_s1406904903t_unit @ ( fe @ n ) ) @ one_one_nat ) ) ),
    inference('cnf.neg',[status(esa)],[conj_0]) ).

thf(zip_derived_cl359,plain,
    ( ( last_c571238084t_unit @ ( fe @ n ) )
   != ( nth_co1649820636t_unit @ ( fe @ n ) @ ( minus_minus_nat @ ( size_s1406904903t_unit @ ( fe @ n ) ) @ one_one_nat ) ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl386,plain,
    ( ( ( last_c571238084t_unit @ ( fe @ n ) )
     != ( last_c571238084t_unit @ ( fe @ n ) ) )
    | ( ( fe @ n )
      = nil_co1338500125t_unit ) ),
    inference('sup-',[status(thm)],[zip_derived_cl1,zip_derived_cl359]) ).

thf(zip_derived_cl388,plain,
    ( ( fe @ n )
    = nil_co1338500125t_unit ),
    inference(simplify,[status(thm)],[zip_derived_cl386]) ).

thf(fact_0_FeNNotEmpty,axiom,
    ( ( fe @ n )
   != nil_co1338500125t_unit ) ).

thf(zip_derived_cl0,plain,
    ( ( fe @ n )
   != nil_co1338500125t_unit ),
    inference(cnf,[status(esa)],[fact_0_FeNNotEmpty]) ).

thf(zip_derived_cl389,plain,
    $false,
    inference('simplify_reflect-',[status(thm)],[zip_derived_cl388,zip_derived_cl0]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.07  % Problem  : ITP056^1 : TPTP v9.2.0. Released v7.5.0.
% 0.03/0.07  % Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.MzgyriKpns true
% 0.07/0.28  % Computer : n021.cluster.edu
% 0.07/0.28  % Model    : x86_64 x86_64
% 0.07/0.28  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.28  % Memory   : 8042.1875MB
% 0.07/0.28  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.07/0.28  % CPULimit : 300
% 0.07/0.28  % WCLimit  : 300
% 0.07/0.28  % DateTime : Wed Oct  1 15:28:38 EDT 2025
% 0.07/0.28  % CPUTime  : 
% 0.07/0.28  % Running portfolio for 300 s
% 0.07/0.28  % File         : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.07/0.28  % Number of cores: 8
% 0.07/0.28  % Python version: Python 3.6.8
% 0.07/0.28  % Running in HO mode
% 0.57/0.57  % Total configuration time : 828
% 0.57/0.57  % Estimated wc time : 1656
% 0.57/0.57  % Estimated cpu time (8 cpus) : 207.0
% 0.57/0.62  % /export/starexec/sandbox2/solver/bin/lams/40_c.s.sh running for 80s
% 0.84/0.66  % /export/starexec/sandbox2/solver/bin/lams/35_full_unif4.sh running for 80s
% 0.84/0.66  % /export/starexec/sandbox2/solver/bin/lams/40_c_ic.sh running for 80s
% 0.84/0.66  % /export/starexec/sandbox2/solver/bin/lams/15_e_short1.sh running for 30s
% 0.84/0.67  % /export/starexec/sandbox2/solver/bin/lams/40_noforms.sh running for 90s
% 0.84/0.67  % /export/starexec/sandbox2/solver/bin/lams/40_b.comb.sh running for 70s
% 0.84/0.67  % /export/starexec/sandbox2/solver/bin/lams/20_acsne_simpl.sh running for 40s
% 0.84/0.68  % /export/starexec/sandbox2/solver/bin/lams/30_sp5.sh running for 60s
% 0.84/0.71  % Solved by lams/40_c.s.sh.
% 0.84/0.71  % done 50 iterations in 0.067s
% 0.84/0.71  % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 0.84/0.71  % SZS output start Refutation
% See solution above
% 0.84/0.71  
% 0.84/0.71  
% 0.84/0.71  % /export/starexec/sandbox2/solver/bin/lams/30_b.l.sh running for 90s
% 0.84/0.71  % Terminating...
% 1.10/0.78  % Runner terminated.
% 1.10/0.79  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------