TSTP Solution File: NUM925+2 by Zipperpin---2.1.9999

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : NUM925+2 : TPTP v8.1.2. Released v5.3.0.
% Transfm  : NO INFORMATION
% Format   : NO INFORMATION
% Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.3U2dVM037b true

% Computer : n012.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 12:44:52 EDT 2023

% Result   : Theorem 0.57s 0.95s
% Output   : Refutation 0.57s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    6
%            Number of leaves      :   24
% Syntax   : Number of formulae    :   44 (  23 unt;  17 typ;   0 def)
%            Number of atoms       :   31 (  25 equ;   0 cnn)
%            Maximal formula atoms :    2 (   1 avg)
%            Number of connectives :  124 (   7   ~;   3   |;   0   &; 113   @)
%                                         (   1 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    7 (   3 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :   15 (  15   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   19 (  17 usr;   7 con; 0-2 aty)
%            Number of variables   :    5 (   0   ^;   5   !;   0   ?;   5   :)

% Comments : 
%------------------------------------------------------------------------------
thf(hAPP_nat_int_type,type,
    hAPP_nat_int: $i > $i > $i ).

thf(n_type,type,
    n: $i ).

thf(plus_plus_int_type,type,
    plus_plus_int: $i > $i ).

thf(zero_zero_int_type,type,
    zero_zero_int: $i ).

thf(number_number_of_nat_type,type,
    number_number_of_nat: $i > $i ).

thf(number_number_of_int_type,type,
    number_number_of_int: $i > $i ).

thf(semiri1621563631at_int_type,type,
    semiri1621563631at_int: $i ).

thf(hBOOL_type,type,
    hBOOL: $i > $o ).

thf(pls_type,type,
    pls: $i ).

thf(one_one_int_type,type,
    one_one_int: $i ).

thf(power_power_int_type,type,
    power_power_int: $i > $i ).

thf(hAPP_int_int_type,type,
    hAPP_int_int: $i > $i > $i ).

thf(bit0_type,type,
    bit0: $i > $i ).

thf(hAPP_i1948725293t_bool_type,type,
    hAPP_i1948725293t_bool: $i > $i > $i ).

thf(bit1_type,type,
    bit1: $i > $i ).

thf(hAPP_int_bool_type,type,
    hAPP_int_bool: $i > $i > $i ).

thf(ord_less_int_type,type,
    ord_less_int: $i ).

thf(fact_0_n1pos,axiom,
    hBOOL @ ( hAPP_int_bool @ ( hAPP_i1948725293t_bool @ ord_less_int @ zero_zero_int ) @ ( hAPP_int_int @ ( plus_plus_int @ one_one_int ) @ ( hAPP_nat_int @ semiri1621563631at_int @ n ) ) ) ).

thf(zip_derived_cl0,plain,
    hBOOL @ ( hAPP_int_bool @ ( hAPP_i1948725293t_bool @ ord_less_int @ zero_zero_int ) @ ( hAPP_int_int @ ( plus_plus_int @ one_one_int ) @ ( hAPP_nat_int @ semiri1621563631at_int @ n ) ) ),
    inference(cnf,[status(esa)],[fact_0_n1pos]) ).

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

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

thf(zip_derived_cl923,plain,
    ( ( hAPP_nat_int @ ( power_power_int @ ( hAPP_int_int @ ( plus_plus_int @ one_one_int ) @ ( hAPP_nat_int @ semiri1621563631at_int @ n ) ) ) @ ( number_number_of_nat @ ( bit0 @ ( bit1 @ pls ) ) ) )
    = zero_zero_int ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(fact_98_Pls__def,axiom,
    pls = zero_zero_int ).

thf(zip_derived_cl148,plain,
    pls = zero_zero_int,
    inference(cnf,[status(esa)],[fact_98_Pls__def]) ).

thf(fact_25_semiring__norm_I110_J,axiom,
    ( one_one_int
    = ( number_number_of_int @ ( bit1 @ pls ) ) ) ).

thf(zip_derived_cl33,plain,
    ( one_one_int
    = ( number_number_of_int @ ( bit1 @ pls ) ) ),
    inference(cnf,[status(esa)],[fact_25_semiring__norm_I110_J]) ).

thf(zip_derived_cl148_001,plain,
    pls = zero_zero_int,
    inference(cnf,[status(esa)],[fact_98_Pls__def]) ).

thf(fact_176_number__of__is__id,axiom,
    ! [K: $i] :
      ( ( number_number_of_int @ K )
      = K ) ).

thf(zip_derived_cl242,plain,
    ! [X0: $i] :
      ( ( number_number_of_int @ X0 )
      = X0 ),
    inference(cnf,[status(esa)],[fact_176_number__of__is__id]) ).

thf(zip_derived_cl1110,plain,
    ( one_one_int
    = ( bit1 @ zero_zero_int ) ),
    inference(demod,[status(thm)],[zip_derived_cl33,zip_derived_cl148,zip_derived_cl242]) ).

thf(zip_derived_cl1183,plain,
    ( ( hAPP_nat_int @ ( power_power_int @ ( hAPP_int_int @ ( plus_plus_int @ one_one_int ) @ ( hAPP_nat_int @ semiri1621563631at_int @ n ) ) ) @ ( number_number_of_nat @ ( bit0 @ one_one_int ) ) )
    = zero_zero_int ),
    inference(demod,[status(thm)],[zip_derived_cl923,zip_derived_cl148,zip_derived_cl1110]) ).

thf(fact_10_zero__eq__power2,axiom,
    ! [A_24: $i] :
      ( ( ( hAPP_nat_int @ ( power_power_int @ A_24 ) @ ( number_number_of_nat @ ( bit0 @ ( bit1 @ pls ) ) ) )
        = zero_zero_int )
    <=> ( A_24 = zero_zero_int ) ) ).

thf(zip_derived_cl13,plain,
    ! [X0: $i] :
      ( ( X0 = zero_zero_int )
      | ( ( hAPP_nat_int @ ( power_power_int @ X0 ) @ ( number_number_of_nat @ ( bit0 @ ( bit1 @ pls ) ) ) )
       != zero_zero_int ) ),
    inference(cnf,[status(esa)],[fact_10_zero__eq__power2]) ).

thf(zip_derived_cl148_002,plain,
    pls = zero_zero_int,
    inference(cnf,[status(esa)],[fact_98_Pls__def]) ).

thf(zip_derived_cl1110_003,plain,
    ( one_one_int
    = ( bit1 @ zero_zero_int ) ),
    inference(demod,[status(thm)],[zip_derived_cl33,zip_derived_cl148,zip_derived_cl242]) ).

thf(zip_derived_cl1262,plain,
    ! [X0: $i] :
      ( ( X0 = zero_zero_int )
      | ( ( hAPP_nat_int @ ( power_power_int @ X0 ) @ ( number_number_of_nat @ ( bit0 @ one_one_int ) ) )
       != zero_zero_int ) ),
    inference(demod,[status(thm)],[zip_derived_cl13,zip_derived_cl148,zip_derived_cl1110]) ).

thf(zip_derived_cl1264,plain,
    ( ( zero_zero_int != zero_zero_int )
    | ( ( hAPP_int_int @ ( plus_plus_int @ one_one_int ) @ ( hAPP_nat_int @ semiri1621563631at_int @ n ) )
      = zero_zero_int ) ),
    inference('sup-',[status(thm)],[zip_derived_cl1183,zip_derived_cl1262]) ).

thf(zip_derived_cl1268,plain,
    ( ( hAPP_int_int @ ( plus_plus_int @ one_one_int ) @ ( hAPP_nat_int @ semiri1621563631at_int @ n ) )
    = zero_zero_int ),
    inference(simplify,[status(thm)],[zip_derived_cl1264]) ).

thf(fact_48_rel__simps_I2_J,axiom,
    ~ ( hBOOL @ ( hAPP_int_bool @ ( hAPP_i1948725293t_bool @ ord_less_int @ pls ) @ pls ) ) ).

thf(zip_derived_cl62,plain,
    ~ ( hBOOL @ ( hAPP_int_bool @ ( hAPP_i1948725293t_bool @ ord_less_int @ pls ) @ pls ) ),
    inference(cnf,[status(esa)],[fact_48_rel__simps_I2_J]) ).

thf(zip_derived_cl148_004,plain,
    pls = zero_zero_int,
    inference(cnf,[status(esa)],[fact_98_Pls__def]) ).

thf(zip_derived_cl148_005,plain,
    pls = zero_zero_int,
    inference(cnf,[status(esa)],[fact_98_Pls__def]) ).

thf(zip_derived_cl1140,plain,
    ~ ( hBOOL @ ( hAPP_int_bool @ ( hAPP_i1948725293t_bool @ ord_less_int @ zero_zero_int ) @ zero_zero_int ) ),
    inference(demod,[status(thm)],[zip_derived_cl62,zip_derived_cl148,zip_derived_cl148]) ).

thf(zip_derived_cl1293,plain,
    $false,
    inference(demod,[status(thm)],[zip_derived_cl0,zip_derived_cl1268,zip_derived_cl1140]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13  % Problem  : NUM925+2 : TPTP v8.1.2. Released v5.3.0.
% 0.00/0.14  % Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.3U2dVM037b true
% 0.14/0.36  % Computer : n012.cluster.edu
% 0.14/0.36  % Model    : x86_64 x86_64
% 0.14/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36  % Memory   : 8042.1875MB
% 0.14/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36  % CPULimit : 300
% 0.14/0.36  % WCLimit  : 300
% 0.14/0.36  % DateTime : Fri Aug 25 13:26:26 EDT 2023
% 0.14/0.36  % CPUTime  : 
% 0.14/0.36  % Running portfolio for 300 s
% 0.14/0.36  % File         : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.14/0.36  % Number of cores: 8
% 0.14/0.37  % Python version: Python 3.6.8
% 0.14/0.37  % Running in FO mode
% 0.22/0.69  % Total configuration time : 435
% 0.22/0.69  % Estimated wc time : 1092
% 0.22/0.69  % Estimated cpu time (7 cpus) : 156.0
% 0.22/0.71  % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.22/0.74  % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.22/0.76  % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.22/0.76  % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.22/0.77  % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.22/0.77  % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.56/0.80  % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 0.57/0.95  % Solved by fo/fo3_bce.sh.
% 0.57/0.95  % BCE start: 924
% 0.57/0.95  % BCE eliminated: 0
% 0.57/0.95  % PE start: 924
% 0.57/0.95  logic: eq
% 0.57/0.95  % PE eliminated: 32
% 0.57/0.95  % done 147 iterations in 0.185s
% 0.57/0.95  % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 0.57/0.95  % SZS output start Refutation
% See solution above
% 0.57/0.95  
% 0.57/0.95  
% 0.57/0.95  % Terminating...
% 1.84/0.98  % Runner terminated.
% 1.86/1.00  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------