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Zipperpin---2.1.9999.THM-Ref.s

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%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : NUM925^2 : TPTP v9.2.0. Released v5.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.18idT41rac true

% Computer : n026.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 04:48:41 PM UTC 2025

% Result   : Theorem 0.61s 0.87s
% Output   : Refutation 0.61s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    8
%            Number of leaves      :    5
% Syntax   : Number of formulae    :   23 (  20 unt;   0 typ;   0 def)
%            Number of atoms       :   33 (  26 equ;   0 cnn)
%            Maximal formula atoms :    3 (   1 avg)
%            Number of connectives :   93 (   3   ~;   0   |;   0   &;  86   @)
%                                         (   3 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    4 (   2 avg)
%            Number of types       :    3 (   2 usr)
%            Number of type conns  :    0 (   0   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   14 (  11 usr;   6 con; 0-2 aty)
%                                         (   1  !!;   0  ??;   0 @@+;   0 @@-)
%            Number of variables   :    5 (   1   ^;   4   !;   0   ?;   5   :)

% Comments : 
%------------------------------------------------------------------------------
thf(int_type,type,
    int: $tType ).

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

thf(pls_type,type,
    pls: int ).

thf(bit1_type,type,
    bit1: int > int ).

thf(number_number_of_nat_type,type,
    number_number_of_nat: int > nat ).

thf(plus_plus_int_type,type,
    plus_plus_int: int > int > int ).

thf(semiri1621563631at_int_type,type,
    semiri1621563631at_int: nat > int ).

thf(one_one_int_type,type,
    one_one_int: int ).

thf(zero_zero_int_type,type,
    zero_zero_int: int ).

thf(ord_less_int_type,type,
    ord_less_int: int > int > $o ).

thf(n_type,type,
    n: nat ).

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

thf(power_power_int_type,type,
    power_power_int: int > nat > int ).

thf(fact_0_n1pos,axiom,
    ord_less_int @ zero_zero_int @ ( plus_plus_int @ one_one_int @ ( semiri1621563631at_int @ n ) ) ).

thf(zip_derived_cl0,plain,
    ord_less_int @ zero_zero_int @ ( plus_plus_int @ one_one_int @ ( semiri1621563631at_int @ n ) ),
    inference(cnf,[status(esa)],[fact_0_n1pos]) ).

thf(fact_98_Pls__def,axiom,
    pls = zero_zero_int ).

thf(zip_derived_cl98,plain,
    pls = zero_zero_int,
    inference(cnf,[status(esa)],[fact_98_Pls__def]) ).

thf(zip_derived_cl706,plain,
    ord_less_int @ pls @ ( plus_plus_int @ one_one_int @ ( semiri1621563631at_int @ n ) ),
    inference(demod,[status(thm)],[zip_derived_cl0,zip_derived_cl98]) ).

thf(conj_0,conjecture,
    ( ( power_power_int @ ( plus_plus_int @ one_one_int @ ( semiri1621563631at_int @ n ) ) @ ( number_number_of_nat @ ( bit0 @ ( bit1 @ pls ) ) ) )
   != zero_zero_int ) ).

thf(zf_stmt_0,negated_conjecture,
    ( ( power_power_int @ ( plus_plus_int @ one_one_int @ ( semiri1621563631at_int @ n ) ) @ ( number_number_of_nat @ ( bit0 @ ( bit1 @ pls ) ) ) )
    = zero_zero_int ),
    inference('cnf.neg',[status(esa)],[conj_0]) ).

thf(zip_derived_cl702,plain,
    ( ( power_power_int @ ( plus_plus_int @ one_one_int @ ( semiri1621563631at_int @ n ) ) @ ( number_number_of_nat @ ( bit0 @ ( bit1 @ pls ) ) ) )
    = zero_zero_int ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl98_001,plain,
    pls = zero_zero_int,
    inference(cnf,[status(esa)],[fact_98_Pls__def]) ).

thf(zip_derived_cl758,plain,
    ( ( power_power_int @ ( plus_plus_int @ one_one_int @ ( semiri1621563631at_int @ n ) ) @ ( number_number_of_nat @ ( bit0 @ ( bit1 @ pls ) ) ) )
    = pls ),
    inference(demod,[status(thm)],[zip_derived_cl702,zip_derived_cl98]) ).

thf(fact_10_zero__eq__power2,axiom,
    ! [A_86: int] :
      ( ( ( power_power_int @ A_86 @ ( number_number_of_nat @ ( bit0 @ ( bit1 @ pls ) ) ) )
        = zero_zero_int )
    <=> ( A_86 = zero_zero_int ) ) ).

thf(zip_derived_cl10,plain,
    ( !!
    @ ^ [Y0: int] :
        ( ( ( power_power_int @ Y0 @ ( number_number_of_nat @ ( bit0 @ ( bit1 @ pls ) ) ) )
          = zero_zero_int )
      <=> ( Y0 = zero_zero_int ) ) ),
    inference(cnf,[status(esa)],[fact_10_zero__eq__power2]) ).

thf(zip_derived_cl810,plain,
    ! [X2: int] :
      ( ( ( power_power_int @ X2 @ ( number_number_of_nat @ ( bit0 @ ( bit1 @ pls ) ) ) )
        = zero_zero_int )
    <=> ( X2 = zero_zero_int ) ),
    inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl10]) ).

thf(zip_derived_cl811,plain,
    ! [X2: int] :
      ( ( ( power_power_int @ X2 @ ( number_number_of_nat @ ( bit0 @ ( bit1 @ pls ) ) ) )
        = zero_zero_int )
      = ( X2 = zero_zero_int ) ),
    inference('simplify nested equalities',[status(thm)],[zip_derived_cl810]) ).

thf(zip_derived_cl98_002,plain,
    pls = zero_zero_int,
    inference(cnf,[status(esa)],[fact_98_Pls__def]) ).

thf(zip_derived_cl98_003,plain,
    pls = zero_zero_int,
    inference(cnf,[status(esa)],[fact_98_Pls__def]) ).

thf(zip_derived_cl812,plain,
    ! [X2: int] :
      ( ( ( power_power_int @ X2 @ ( number_number_of_nat @ ( bit0 @ ( bit1 @ pls ) ) ) )
        = pls )
      = ( X2 = pls ) ),
    inference(demod,[status(thm)],[zip_derived_cl811,zip_derived_cl98,zip_derived_cl98]) ).

thf(zip_derived_cl814,plain,
    ( ( pls = pls )
    = ( ( plus_plus_int @ one_one_int @ ( semiri1621563631at_int @ n ) )
      = pls ) ),
    inference('sup+',[status(thm)],[zip_derived_cl758,zip_derived_cl812]) ).

thf(zip_derived_cl828,plain,
    ( ( plus_plus_int @ one_one_int @ ( semiri1621563631at_int @ n ) )
    = pls ),
    inference('simplify boolean subterms',[status(thm)],[zip_derived_cl814]) ).

thf(zip_derived_cl829,plain,
    ( ( plus_plus_int @ one_one_int @ ( semiri1621563631at_int @ n ) )
    = pls ),
    inference('simplify nested equalities',[status(thm)],[zip_derived_cl828]) ).

thf(fact_48_rel__simps_I2_J,axiom,
    ~ ( ord_less_int @ pls @ pls ) ).

thf(zip_derived_cl48,plain,
    ~ ( ord_less_int @ pls @ pls ),
    inference(cnf,[status(esa)],[fact_48_rel__simps_I2_J]) ).

thf(zip_derived_cl836,plain,
    $false,
    inference(demod,[status(thm)],[zip_derived_cl706,zip_derived_cl829,zip_derived_cl48]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.14  % Problem  : NUM925^2 : TPTP v9.2.0. Released v5.3.0.
% 0.03/0.15  % Command  : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.18idT41rac true
% 0.15/0.37  % Computer : n026.cluster.edu
% 0.15/0.37  % Model    : x86_64 x86_64
% 0.15/0.37  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.37  % Memory   : 8042.1875MB
% 0.15/0.37  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.15/0.37  % CPULimit : 300
% 0.15/0.37  % WCLimit  : 300
% 0.15/0.37  % DateTime : Wed Oct  1 16:18:08 EDT 2025
% 0.23/0.37  % CPUTime  : 
% 0.23/0.37  % Running portfolio for 300 s
% 0.23/0.37  % File         : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.23/0.37  % Number of cores: 8
% 0.23/0.37  % Python version: Python 3.6.8
% 0.23/0.38  % Running in HO mode
% 0.58/0.70  % Total configuration time : 828
% 0.58/0.70  % Estimated wc time : 1656
% 0.58/0.70  % Estimated cpu time (8 cpus) : 207.0
% 0.58/0.73  % /export/starexec/sandbox/solver/bin/lams/35_full_unif4.sh running for 80s
% 0.58/0.73  % /export/starexec/sandbox/solver/bin/lams/40_c.s.sh running for 80s
% 0.59/0.75  % /export/starexec/sandbox/solver/bin/lams/40_c_ic.sh running for 80s
% 0.59/0.76  % /export/starexec/sandbox/solver/bin/lams/15_e_short1.sh running for 30s
% 0.59/0.77  % /export/starexec/sandbox/solver/bin/lams/40_noforms.sh running for 90s
% 0.59/0.79  % /export/starexec/sandbox/solver/bin/lams/40_b.comb.sh running for 70s
% 0.59/0.79  % /export/starexec/sandbox/solver/bin/lams/20_acsne_simpl.sh running for 40s
% 0.59/0.79  % /export/starexec/sandbox/solver/bin/lams/30_sp5.sh running for 60s
% 0.60/0.84  % /export/starexec/sandbox/solver/bin/lams/30_b.l.sh running for 90s
% 0.61/0.87  % Solved by lams/35_full_unif4.sh.
% 0.61/0.87  % done 104 iterations in 0.107s
% 0.61/0.87  % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 0.61/0.87  % SZS output start Refutation
% See solution above
% 0.61/0.87  
% 0.61/0.87  
% 0.61/0.87  % Terminating...
% 0.61/0.91  % Runner terminated.
% 0.61/0.91  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------