TSTP Solution File: NUM925^1 by Zipperpin---2.1.9999

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%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : NUM925^1 : TPTP v8.1.2. Released v5.3.0.
% Transfm  : NO INFORMATION
% Format   : NO INFORMATION
% Command  : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.TJpJIwzTYH true

% Computer : n022.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 Aug 31 12:44:51 EDT 2023

% Result   : Theorem 0.56s 0.80s
% Output   : Refutation 0.56s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    8
%            Number of leaves      :   18
% Syntax   : Number of formulae    :   36 (  20 unt;  13 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  :   10 (  10   >;   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(semiri1621563631at_int_type,type,
    semiri1621563631at_int: nat > int ).

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

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

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

thf(one_one_int_type,type,
    one_one_int: int ).

thf(zero_zero_int_type,type,
    zero_zero_int: int ).

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

thf(n_type,type,
    n: nat ).

thf(pls_type,type,
    pls: int ).

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

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

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_78_Pls__def,axiom,
    pls = zero_zero_int ).

thf(zip_derived_cl78,plain,
    pls = zero_zero_int,
    inference(cnf,[status(esa)],[fact_78_Pls__def]) ).

thf(zip_derived_cl110,plain,
    ord_less_int @ pls @ ( plus_plus_int @ one_one_int @ ( semiri1621563631at_int @ n ) ),
    inference(demod,[status(thm)],[zip_derived_cl0,zip_derived_cl78]) ).

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_cl106,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_cl78_001,plain,
    pls = zero_zero_int,
    inference(cnf,[status(esa)],[fact_78_Pls__def]) ).

thf(zip_derived_cl159,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_cl106,zip_derived_cl78]) ).

thf(fact_7_zero__eq__power2,axiom,
    ! [A_7: int] :
      ( ( ( power_power_int @ A_7 @ ( number_number_of_nat @ ( bit0 @ ( bit1 @ pls ) ) ) )
        = zero_zero_int )
    <=> ( A_7 = zero_zero_int ) ) ).

thf(zip_derived_cl7,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_7_zero__eq__power2]) ).

thf(zip_derived_cl216,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_cl7]) ).

thf(zip_derived_cl217,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_cl216]) ).

thf(zip_derived_cl78_002,plain,
    pls = zero_zero_int,
    inference(cnf,[status(esa)],[fact_78_Pls__def]) ).

thf(zip_derived_cl78_003,plain,
    pls = zero_zero_int,
    inference(cnf,[status(esa)],[fact_78_Pls__def]) ).

thf(zip_derived_cl218,plain,
    ! [X2: int] :
      ( ( ( power_power_int @ X2 @ ( number_number_of_nat @ ( bit0 @ ( bit1 @ pls ) ) ) )
        = pls )
      = ( X2 = pls ) ),
    inference(demod,[status(thm)],[zip_derived_cl217,zip_derived_cl78,zip_derived_cl78]) ).

thf(zip_derived_cl220,plain,
    ( ( pls = pls )
    = ( ( plus_plus_int @ one_one_int @ ( semiri1621563631at_int @ n ) )
      = pls ) ),
    inference('sup+',[status(thm)],[zip_derived_cl159,zip_derived_cl218]) ).

thf(zip_derived_cl234,plain,
    ( ( plus_plus_int @ one_one_int @ ( semiri1621563631at_int @ n ) )
    = pls ),
    inference('simplify boolean subterms',[status(thm)],[zip_derived_cl220]) ).

thf(zip_derived_cl235,plain,
    ( ( plus_plus_int @ one_one_int @ ( semiri1621563631at_int @ n ) )
    = pls ),
    inference('simplify nested equalities',[status(thm)],[zip_derived_cl234]) ).

thf(fact_36_rel__simps_I2_J,axiom,
    ~ ( ord_less_int @ pls @ pls ) ).

thf(zip_derived_cl36,plain,
    ~ ( ord_less_int @ pls @ pls ),
    inference(cnf,[status(esa)],[fact_36_rel__simps_I2_J]) ).

thf(zip_derived_cl241,plain,
    $false,
    inference(demod,[status(thm)],[zip_derived_cl110,zip_derived_cl235,zip_derived_cl36]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem  : NUM925^1 : TPTP v8.1.2. Released v5.3.0.
% 0.00/0.13  % Command  : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.TJpJIwzTYH true
% 0.14/0.34  % Computer : n022.cluster.edu
% 0.14/0.34  % Model    : x86_64 x86_64
% 0.14/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34  % Memory   : 8042.1875MB
% 0.14/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34  % CPULimit : 300
% 0.14/0.34  % WCLimit  : 300
% 0.14/0.34  % DateTime : Fri Aug 25 17:01:25 EDT 2023
% 0.14/0.35  % CPUTime  : 
% 0.14/0.35  % Running portfolio for 300 s
% 0.14/0.35  % File         : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.14/0.35  % Number of cores: 8
% 0.14/0.35  % Python version: Python 3.6.8
% 0.14/0.35  % Running in HO mode
% 0.21/0.66  % Total configuration time : 828
% 0.21/0.66  % Estimated wc time : 1656
% 0.21/0.66  % Estimated cpu time (8 cpus) : 207.0
% 0.21/0.73  % /export/starexec/sandbox/solver/bin/lams/40_c.s.sh running for 80s
% 0.21/0.74  % /export/starexec/sandbox/solver/bin/lams/35_full_unif4.sh running for 80s
% 0.21/0.75  % /export/starexec/sandbox/solver/bin/lams/40_c_ic.sh running for 80s
% 0.21/0.75  % /export/starexec/sandbox/solver/bin/lams/15_e_short1.sh running for 30s
% 0.21/0.76  % /export/starexec/sandbox/solver/bin/lams/40_b.comb.sh running for 70s
% 0.21/0.76  % /export/starexec/sandbox/solver/bin/lams/40_noforms.sh running for 90s
% 0.56/0.77  % /export/starexec/sandbox/solver/bin/lams/20_acsne_simpl.sh running for 40s
% 0.56/0.77  % /export/starexec/sandbox/solver/bin/lams/30_sp5.sh running for 60s
% 0.56/0.80  % Solved by lams/35_full_unif4.sh.
% 0.56/0.80  % done 68 iterations in 0.037s
% 0.56/0.80  % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 0.56/0.80  % SZS output start Refutation
% See solution above
% 0.56/0.80  
% 0.56/0.80  
% 0.56/0.80  % Terminating...
% 0.58/0.85  % Runner terminated.
% 0.58/0.86  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------