TSTP Solution File: ITP097^1 by Zipperpin---2.1.9999

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : ITP097^1 : TPTP v8.1.2. Released v7.5.0.
% Transfm  : NO INFORMATION
% Format   : NO INFORMATION
% Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.Xv5XWfgxis true

% Computer : n025.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 05:22:09 EDT 2023

% Result   : Theorem 1.77s 0.96s
% Output   : Refutation 1.77s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    6
%            Number of leaves      :   26
% Syntax   : Number of formulae    :   45 (  20 unt;  19 typ;   0 def)
%            Number of atoms       :   48 (  20 equ;   0 cnn)
%            Maximal formula atoms :    4 (   1 avg)
%            Number of connectives :  306 (   2   ~;   0   |;   0   &; 294   @)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   10 (   4 avg)
%            Number of types       :    5 (   4 usr)
%            Number of type conns  :   19 (  19   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   18 (  15 usr;   4 con; 0-2 aty)
%                                         (  10  !!;   0  ??;   0 @@+;   0 @@-)
%            Number of variables   :   32 (  10   ^;  22   !;   0   ?;  32   :)

% Comments : 
%------------------------------------------------------------------------------
thf(real_type,type,
    real: $tType ).

thf(num_type,type,
    num: $tType ).

thf(int_type,type,
    int: $tType ).

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

thf(nat2_type,type,
    nat2: int > nat ).

thf(one_type,type,
    one: num ).

thf(ord_less_eq_int_type,type,
    ord_less_eq_int: int > int > $o ).

thf(ord_less_eq_real_type,type,
    ord_less_eq_real: real > real > $o ).

thf(numeral_numeral_int_type,type,
    numeral_numeral_int: num > int ).

thf(ring_1_of_int_real_type,type,
    ring_1_of_int_real: int > real ).

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

thf(semiri2110766477t_real_type,type,
    semiri2110766477t_real: nat > real ).

thf(archim1371465213g_real_type,type,
    archim1371465213g_real: real > int ).

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

thf(d_type,type,
    d: int ).

thf(numeral_numeral_real_type,type,
    numeral_numeral_real: num > real ).

thf(log_type,type,
    log: real > real > real ).

thf(powr_real_type,type,
    powr_real: real > real > real ).

thf(power_power_real_type,type,
    power_power_real: real > nat > real ).

thf(fact_103__092_060open_0622_Apowr_Alog_A2_A_Ireal__of__int_Ad_J_A_092_060le_062_A2_Apowr_Areal_A_Inat_A_092_060lceil_062log_A2_A_Ireal__of__int_Ad_J_092_060rceil_062_J_092_060close_062,axiom,
    ord_less_eq_real @ ( powr_real @ ( numeral_numeral_real @ ( bit0 @ one ) ) @ ( log @ ( numeral_numeral_real @ ( bit0 @ one ) ) @ ( ring_1_of_int_real @ d ) ) ) @ ( powr_real @ ( numeral_numeral_real @ ( bit0 @ one ) ) @ ( semiri2110766477t_real @ ( nat2 @ ( archim1371465213g_real @ ( log @ ( numeral_numeral_real @ ( bit0 @ one ) ) @ ( ring_1_of_int_real @ d ) ) ) ) ) ) ).

thf(zip_derived_cl88,plain,
    ord_less_eq_real @ ( powr_real @ ( numeral_numeral_real @ ( bit0 @ one ) ) @ ( log @ ( numeral_numeral_real @ ( bit0 @ one ) ) @ ( ring_1_of_int_real @ d ) ) ) @ ( powr_real @ ( numeral_numeral_real @ ( bit0 @ one ) ) @ ( semiri2110766477t_real @ ( nat2 @ ( archim1371465213g_real @ ( log @ ( numeral_numeral_real @ ( bit0 @ one ) ) @ ( ring_1_of_int_real @ d ) ) ) ) ) ),
    inference(cnf,[status(esa)],[fact_103__092_060open_0622_Apowr_Alog_A2_A_Ireal__of__int_Ad_J_A_092_060le_062_A2_Apowr_Areal_A_Inat_A_092_060lceil_062log_A2_A_Ireal__of__int_Ad_J_092_060rceil_062_J_092_060close_062]) ).

thf(fact_53__092_060open_062real__of__int_Ad_A_061_A2_Apowr_Alog_A2_A_Ireal__of__int_Ad_J_092_060close_062,axiom,
    ( ( ring_1_of_int_real @ d )
    = ( powr_real @ ( numeral_numeral_real @ ( bit0 @ one ) ) @ ( log @ ( numeral_numeral_real @ ( bit0 @ one ) ) @ ( ring_1_of_int_real @ d ) ) ) ) ).

thf(zip_derived_cl49,plain,
    ( ( ring_1_of_int_real @ d )
    = ( powr_real @ ( numeral_numeral_real @ ( bit0 @ one ) ) @ ( log @ ( numeral_numeral_real @ ( bit0 @ one ) ) @ ( ring_1_of_int_real @ d ) ) ) ),
    inference(cnf,[status(esa)],[fact_53__092_060open_062real__of__int_Ad_A_061_A2_Apowr_Alog_A2_A_Ireal__of__int_Ad_J_092_060close_062]) ).

thf(fact_102__092_060open_0622_Apowr_Areal_A_Inat_A_092_060lceil_062log_A2_A_Ireal__of__int_Ad_J_092_060rceil_062_J_A_061_Areal__of__int_A_I2_A_094_Anat_A_092_060lceil_062log_A2_A_Ireal__of__int_Ad_J_092_060rceil_062_J_092_060close_062,axiom,
    ( ( powr_real @ ( numeral_numeral_real @ ( bit0 @ one ) ) @ ( semiri2110766477t_real @ ( nat2 @ ( archim1371465213g_real @ ( log @ ( numeral_numeral_real @ ( bit0 @ one ) ) @ ( ring_1_of_int_real @ d ) ) ) ) ) )
    = ( ring_1_of_int_real @ ( power_power_int @ ( numeral_numeral_int @ ( bit0 @ one ) ) @ ( nat2 @ ( archim1371465213g_real @ ( log @ ( numeral_numeral_real @ ( bit0 @ one ) ) @ ( ring_1_of_int_real @ d ) ) ) ) ) ) ) ).

thf(zip_derived_cl87,plain,
    ( ( powr_real @ ( numeral_numeral_real @ ( bit0 @ one ) ) @ ( semiri2110766477t_real @ ( nat2 @ ( archim1371465213g_real @ ( log @ ( numeral_numeral_real @ ( bit0 @ one ) ) @ ( ring_1_of_int_real @ d ) ) ) ) ) )
    = ( ring_1_of_int_real @ ( power_power_int @ ( numeral_numeral_int @ ( bit0 @ one ) ) @ ( nat2 @ ( archim1371465213g_real @ ( log @ ( numeral_numeral_real @ ( bit0 @ one ) ) @ ( ring_1_of_int_real @ d ) ) ) ) ) ) ),
    inference(cnf,[status(esa)],[fact_102__092_060open_0622_Apowr_Areal_A_Inat_A_092_060lceil_062log_A2_A_Ireal__of__int_Ad_J_092_060rceil_062_J_A_061_Areal__of__int_A_I2_A_094_Anat_A_092_060lceil_062log_A2_A_Ireal__of__int_Ad_J_092_060rceil_062_J_092_060close_062]) ).

thf(fact_19_of__int__power,axiom,
    ! [Z: int,N: nat] :
      ( ( ring_1_of_int_real @ ( power_power_int @ Z @ N ) )
      = ( power_power_real @ ( ring_1_of_int_real @ Z ) @ N ) ) ).

thf(zip_derived_cl19,plain,
    ( !!
    @ ^ [Y0: int] :
        ( !!
        @ ^ [Y1: nat] :
            ( ( ring_1_of_int_real @ ( power_power_int @ Y0 @ Y1 ) )
            = ( power_power_real @ ( ring_1_of_int_real @ Y0 ) @ Y1 ) ) ) ),
    inference(cnf,[status(esa)],[fact_19_of__int__power]) ).

thf(zip_derived_cl614,plain,
    ! [X2: int] :
      ( !!
      @ ^ [Y0: nat] :
          ( ( ring_1_of_int_real @ ( power_power_int @ X2 @ Y0 ) )
          = ( power_power_real @ ( ring_1_of_int_real @ X2 ) @ Y0 ) ) ),
    inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl19]) ).

thf(zip_derived_cl615,plain,
    ! [X2: int,X4: nat] :
      ( ( ring_1_of_int_real @ ( power_power_int @ X2 @ X4 ) )
      = ( power_power_real @ ( ring_1_of_int_real @ X2 ) @ X4 ) ),
    inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl614]) ).

thf(zip_derived_cl616,plain,
    ! [X2: int,X4: nat] :
      ( ( ring_1_of_int_real @ ( power_power_int @ X2 @ X4 ) )
      = ( power_power_real @ ( ring_1_of_int_real @ X2 ) @ X4 ) ),
    inference('simplify nested equalities',[status(thm)],[zip_derived_cl615]) ).

thf(fact_30_of__int__numeral,axiom,
    ! [K: num] :
      ( ( ring_1_of_int_real @ ( numeral_numeral_int @ K ) )
      = ( numeral_numeral_real @ K ) ) ).

thf(zip_derived_cl30,plain,
    ( !!
    @ ^ [Y0: num] :
        ( ( ring_1_of_int_real @ ( numeral_numeral_int @ Y0 ) )
        = ( numeral_numeral_real @ Y0 ) ) ),
    inference(cnf,[status(esa)],[fact_30_of__int__numeral]) ).

thf(zip_derived_cl386,plain,
    ! [X2: num] :
      ( ( ring_1_of_int_real @ ( numeral_numeral_int @ X2 ) )
      = ( numeral_numeral_real @ X2 ) ),
    inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl30]) ).

thf(zip_derived_cl387,plain,
    ! [X2: num] :
      ( ( ring_1_of_int_real @ ( numeral_numeral_int @ X2 ) )
      = ( numeral_numeral_real @ X2 ) ),
    inference('simplify nested equalities',[status(thm)],[zip_derived_cl386]) ).

thf(zip_derived_cl637,plain,
    ( ( powr_real @ ( numeral_numeral_real @ ( bit0 @ one ) ) @ ( semiri2110766477t_real @ ( nat2 @ ( archim1371465213g_real @ ( log @ ( numeral_numeral_real @ ( bit0 @ one ) ) @ ( ring_1_of_int_real @ d ) ) ) ) ) )
    = ( power_power_real @ ( numeral_numeral_real @ ( bit0 @ one ) ) @ ( nat2 @ ( archim1371465213g_real @ ( log @ ( numeral_numeral_real @ ( bit0 @ one ) ) @ ( ring_1_of_int_real @ d ) ) ) ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl87,zip_derived_cl616,zip_derived_cl387]) ).

thf(fact_3_of__int__le__numeral__power__cancel__iff,axiom,
    ! [A: int,X: num,N: nat] :
      ( ( ord_less_eq_real @ ( ring_1_of_int_real @ A ) @ ( power_power_real @ ( numeral_numeral_real @ X ) @ N ) )
      = ( ord_less_eq_int @ A @ ( power_power_int @ ( numeral_numeral_int @ X ) @ N ) ) ) ).

thf(zip_derived_cl3,plain,
    ( !!
    @ ^ [Y0: int] :
        ( !!
        @ ^ [Y1: num] :
            ( !!
            @ ^ [Y2: nat] :
                ( ( ord_less_eq_real @ ( ring_1_of_int_real @ Y0 ) @ ( power_power_real @ ( numeral_numeral_real @ Y1 ) @ Y2 ) )
                = ( ord_less_eq_int @ Y0 @ ( power_power_int @ ( numeral_numeral_int @ Y1 ) @ Y2 ) ) ) ) ) ),
    inference(cnf,[status(esa)],[fact_3_of__int__le__numeral__power__cancel__iff]) ).

thf(zip_derived_cl347,plain,
    ! [X2: int] :
      ( !!
      @ ^ [Y0: num] :
          ( !!
          @ ^ [Y1: nat] :
              ( ( ord_less_eq_real @ ( ring_1_of_int_real @ X2 ) @ ( power_power_real @ ( numeral_numeral_real @ Y0 ) @ Y1 ) )
              = ( ord_less_eq_int @ X2 @ ( power_power_int @ ( numeral_numeral_int @ Y0 ) @ Y1 ) ) ) ) ),
    inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl3]) ).

thf(zip_derived_cl348,plain,
    ! [X2: int,X4: num] :
      ( !!
      @ ^ [Y0: nat] :
          ( ( ord_less_eq_real @ ( ring_1_of_int_real @ X2 ) @ ( power_power_real @ ( numeral_numeral_real @ X4 ) @ Y0 ) )
          = ( ord_less_eq_int @ X2 @ ( power_power_int @ ( numeral_numeral_int @ X4 ) @ Y0 ) ) ) ),
    inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl347]) ).

thf(zip_derived_cl349,plain,
    ! [X2: int,X4: num,X6: nat] :
      ( ( ord_less_eq_real @ ( ring_1_of_int_real @ X2 ) @ ( power_power_real @ ( numeral_numeral_real @ X4 ) @ X6 ) )
      = ( ord_less_eq_int @ X2 @ ( power_power_int @ ( numeral_numeral_int @ X4 ) @ X6 ) ) ),
    inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl348]) ).

thf(zip_derived_cl350,plain,
    ! [X2: int,X4: num,X6: nat] :
      ( ( ord_less_eq_real @ ( ring_1_of_int_real @ X2 ) @ ( power_power_real @ ( numeral_numeral_real @ X4 ) @ X6 ) )
      = ( ord_less_eq_int @ X2 @ ( power_power_int @ ( numeral_numeral_int @ X4 ) @ X6 ) ) ),
    inference('simplify nested equalities',[status(thm)],[zip_derived_cl349]) ).

thf(conj_0,conjecture,
    ord_less_eq_int @ d @ ( power_power_int @ ( numeral_numeral_int @ ( bit0 @ one ) ) @ ( nat2 @ ( archim1371465213g_real @ ( log @ ( numeral_numeral_real @ ( bit0 @ one ) ) @ ( ring_1_of_int_real @ d ) ) ) ) ) ).

thf(zf_stmt_0,negated_conjecture,
    ~ ( ord_less_eq_int @ d @ ( power_power_int @ ( numeral_numeral_int @ ( bit0 @ one ) ) @ ( nat2 @ ( archim1371465213g_real @ ( log @ ( numeral_numeral_real @ ( bit0 @ one ) ) @ ( ring_1_of_int_real @ d ) ) ) ) ) ),
    inference('cnf.neg',[status(esa)],[conj_0]) ).

thf(zip_derived_cl320,plain,
    ~ ( ord_less_eq_int @ d @ ( power_power_int @ ( numeral_numeral_int @ ( bit0 @ one ) ) @ ( nat2 @ ( archim1371465213g_real @ ( log @ ( numeral_numeral_real @ ( bit0 @ one ) ) @ ( ring_1_of_int_real @ d ) ) ) ) ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl671,plain,
    $false,
    inference(demod,[status(thm)],[zip_derived_cl88,zip_derived_cl49,zip_derived_cl637,zip_derived_cl350,zip_derived_cl320]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem  : ITP097^1 : TPTP v8.1.2. Released v7.5.0.
% 0.12/0.13  % Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.Xv5XWfgxis true
% 0.13/0.34  % Computer : n025.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34  % CPULimit : 300
% 0.13/0.34  % WCLimit  : 300
% 0.13/0.34  % DateTime : Sun Aug 27 11:32:39 EDT 2023
% 0.13/0.34  % CPUTime  : 
% 0.13/0.34  % Running portfolio for 300 s
% 0.13/0.34  % File         : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.13/0.35  % Number of cores: 8
% 0.13/0.35  % Python version: Python 3.6.8
% 0.13/0.35  % 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
% 0.21/0.71  % /export/starexec/sandbox2/solver/bin/lams/40_c.s.sh running for 80s
% 0.21/0.72  % /export/starexec/sandbox2/solver/bin/lams/35_full_unif4.sh running for 80s
% 0.21/0.75  % /export/starexec/sandbox2/solver/bin/lams/40_c_ic.sh running for 80s
% 0.21/0.75  % /export/starexec/sandbox2/solver/bin/lams/15_e_short1.sh running for 30s
% 0.21/0.76  % /export/starexec/sandbox2/solver/bin/lams/40_noforms.sh running for 90s
% 0.21/0.76  % /export/starexec/sandbox2/solver/bin/lams/40_b.comb.sh running for 70s
% 0.21/0.76  % /export/starexec/sandbox2/solver/bin/lams/20_acsne_simpl.sh running for 40s
% 0.21/0.78  % /export/starexec/sandbox2/solver/bin/lams/30_sp5.sh running for 60s
% 0.21/0.79  % /export/starexec/sandbox2/solver/bin/lams/30_b.l.sh running for 90s
% 1.77/0.96  % Solved by lams/30_sp5.sh.
% 1.77/0.96  % done 0 iterations in 0.140s
% 1.77/0.96  % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 1.77/0.96  % SZS output start Refutation
% See solution above
% 1.77/0.96  
% 1.77/0.96  
% 1.77/0.96  % Terminating...
% 2.26/1.06  % Runner terminated.
% 2.26/1.07  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------