TSTP Solution File: ITP270_1 by Zipperpin---2.1.9999

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : ITP270_1 : TPTP v8.1.2. Released v8.0.0.
% Transfm  : NO INFORMATION
% Format   : NO INFORMATION
% Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.CNnw8Nzg5S 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 Aug 31 05:24:05 EDT 2023

% Result   : Theorem 14.59s 2.68s
% Output   : Refutation 14.59s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    4
%            Number of leaves      :   30
% Syntax   : Number of formulae    :   38 (   8 unt;  26 typ;   0 def)
%            Number of atoms       :   18 (   0 equ;   0 cnn)
%            Maximal formula atoms :    3 (   1 avg)
%            Number of connectives :  145 (   6   ~;   3   |;   1   &; 133   @)
%                                         (   0 <=>;   2  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   12 (   9 avg)
%            Number of types       :   10 (   9 usr)
%            Number of type conns  :   13 (  13   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   18 (  17 usr;  11 con; 0-2 aty)
%            Number of variables   :    7 (   0   ^;   7   !;   0   ?;   7   :)

% Comments : 
%------------------------------------------------------------------------------
thf(bool_type,type,
    bool: $tType ).

thf(fun_nat_bool_type,type,
    fun_nat_bool: $tType ).

thf(fun_nat_fun_nat_bool_type,type,
    fun_nat_fun_nat_bool: $tType ).

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

thf(fun_nat_nat_type,type,
    fun_nat_nat: $tType ).

thf(fun_nat_fun_nat_nat_type,type,
    fun_nat_fun_nat_nat: $tType ).

thf(fun_num_nat_type,type,
    fun_num_nat: $tType ).

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

thf(fun_num_num_type,type,
    fun_num_num: $tType ).

thf(deg_type,type,
    deg: nat ).

thf(mi_type,type,
    mi: nat ).

thf(x_type,type,
    x: nat ).

thf(ord_less_nat_type,type,
    ord_less_nat: fun_nat_fun_nat_bool ).

thf(ord_less_eq_nat_type,type,
    ord_less_eq_nat: fun_nat_fun_nat_bool ).

thf(aa_nat_nat_type,type,
    aa_nat_nat: fun_nat_nat > nat > nat ).

thf(ma_type,type,
    ma: nat ).

thf(aa_nat_fun_nat_nat_type,type,
    aa_nat_fun_nat_nat: fun_nat_fun_nat_nat > nat > fun_nat_nat ).

thf(numeral_numeral_nat_type,type,
    numeral_numeral_nat: fun_num_nat ).

thf(pp_type,type,
    pp: bool > $o ).

thf(bit0_type,type,
    bit0: fun_num_num ).

thf(aa_nat_fun_nat_bool_type,type,
    aa_nat_fun_nat_bool: fun_nat_fun_nat_bool > nat > fun_nat_bool ).

thf(aa_num_nat_type,type,
    aa_num_nat: fun_num_nat > num > nat ).

thf(power_power_nat_type,type,
    power_power_nat: fun_nat_fun_nat_nat ).

thf(aa_nat_bool_type,type,
    aa_nat_bool: fun_nat_bool > nat > bool ).

thf(one_type,type,
    one: num ).

thf(aa_num_num_type,type,
    aa_num_num: fun_num_num > num > num ).

thf(fact_24__092_060open_062x_A_092_060le_062_Ama_A_092_060and_062_Ami_A_092_060le_062_Ax_092_060close_062,axiom,
    ( ( pp @ ( aa_nat_bool @ ( aa_nat_fun_nat_bool @ ord_less_eq_nat @ mi ) @ x ) )
    & ( pp @ ( aa_nat_bool @ ( aa_nat_fun_nat_bool @ ord_less_eq_nat @ x ) @ ma ) ) ) ).

thf(zip_derived_cl16,plain,
    pp @ ( aa_nat_bool @ ( aa_nat_fun_nat_bool @ ord_less_eq_nat @ x ) @ ma ),
    inference(cnf,[status(esa)],[fact_24__092_060open_062x_A_092_060le_062_Ama_A_092_060and_062_Ami_A_092_060le_062_Ax_092_060close_062]) ).

thf(fact_568_order_Ostrict__trans1,axiom,
    ! [A: nat,B: nat,C: nat] :
      ( ( pp @ ( aa_nat_bool @ ( aa_nat_fun_nat_bool @ ord_less_eq_nat @ A ) @ B ) )
     => ( ( pp @ ( aa_nat_bool @ ( aa_nat_fun_nat_bool @ ord_less_nat @ B ) @ C ) )
       => ( pp @ ( aa_nat_bool @ ( aa_nat_fun_nat_bool @ ord_less_nat @ A ) @ C ) ) ) ) ).

thf(zip_derived_cl158,plain,
    ! [X0: nat,X1: nat,X2: nat] :
      ( ~ ( pp @ ( aa_nat_bool @ ( aa_nat_fun_nat_bool @ ord_less_eq_nat @ X0 ) @ X1 ) )
      | ( pp @ ( aa_nat_bool @ ( aa_nat_fun_nat_bool @ ord_less_nat @ X0 ) @ X2 ) )
      | ~ ( pp @ ( aa_nat_bool @ ( aa_nat_fun_nat_bool @ ord_less_nat @ X1 ) @ X2 ) ) ),
    inference(cnf,[status(esa)],[fact_568_order_Ostrict__trans1]) ).

thf(zip_derived_cl3472,plain,
    ! [X0: nat] :
      ( ~ ( pp @ ( aa_nat_bool @ ( aa_nat_fun_nat_bool @ ord_less_nat @ ma ) @ X0 ) )
      | ( pp @ ( aa_nat_bool @ ( aa_nat_fun_nat_bool @ ord_less_nat @ x ) @ X0 ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl16,zip_derived_cl158]) ).

thf(conj_0,conjecture,
    pp @ ( aa_nat_bool @ ( aa_nat_fun_nat_bool @ ord_less_nat @ x ) @ ( aa_nat_nat @ ( aa_nat_fun_nat_nat @ power_power_nat @ ( aa_num_nat @ numeral_numeral_nat @ ( aa_num_num @ bit0 @ one ) ) ) @ deg ) ) ).

thf(zf_stmt_0,negated_conjecture,
    ~ ( pp @ ( aa_nat_bool @ ( aa_nat_fun_nat_bool @ ord_less_nat @ x ) @ ( aa_nat_nat @ ( aa_nat_fun_nat_nat @ power_power_nat @ ( aa_num_nat @ numeral_numeral_nat @ ( aa_num_num @ bit0 @ one ) ) ) @ deg ) ) ),
    inference('cnf.neg',[status(esa)],[conj_0]) ).

thf(zip_derived_cl553,plain,
    ~ ( pp @ ( aa_nat_bool @ ( aa_nat_fun_nat_bool @ ord_less_nat @ x ) @ ( aa_nat_nat @ ( aa_nat_fun_nat_nat @ power_power_nat @ ( aa_num_nat @ numeral_numeral_nat @ ( aa_num_num @ bit0 @ one ) ) ) @ deg ) ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl3670,plain,
    ~ ( pp @ ( aa_nat_bool @ ( aa_nat_fun_nat_bool @ ord_less_nat @ ma ) @ ( aa_nat_nat @ ( aa_nat_fun_nat_nat @ power_power_nat @ ( aa_num_nat @ numeral_numeral_nat @ ( aa_num_num @ bit0 @ one ) ) ) @ deg ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl3472,zip_derived_cl553]) ).

thf(fact_1__C5_Ohyps_C_I8_J,axiom,
    pp @ ( aa_nat_bool @ ( aa_nat_fun_nat_bool @ ord_less_nat @ ma ) @ ( aa_nat_nat @ ( aa_nat_fun_nat_nat @ power_power_nat @ ( aa_num_nat @ numeral_numeral_nat @ ( aa_num_num @ bit0 @ one ) ) ) @ deg ) ) ).

thf(zip_derived_cl1,plain,
    pp @ ( aa_nat_bool @ ( aa_nat_fun_nat_bool @ ord_less_nat @ ma ) @ ( aa_nat_nat @ ( aa_nat_fun_nat_nat @ power_power_nat @ ( aa_num_nat @ numeral_numeral_nat @ ( aa_num_num @ bit0 @ one ) ) ) @ deg ) ),
    inference(cnf,[status(esa)],[fact_1__C5_Ohyps_C_I8_J]) ).

thf(zip_derived_cl3739,plain,
    $false,
    inference(demod,[status(thm)],[zip_derived_cl3670,zip_derived_cl1]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem  : ITP270_1 : TPTP v8.1.2. Released v8.0.0.
% 0.00/0.14  % Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.CNnw8Nzg5S true
% 0.18/0.35  % Computer : n026.cluster.edu
% 0.18/0.35  % Model    : x86_64 x86_64
% 0.18/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.18/0.35  % Memory   : 8042.1875MB
% 0.18/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.18/0.35  % CPULimit : 300
% 0.18/0.35  % WCLimit  : 300
% 0.18/0.35  % DateTime : Sun Aug 27 15:40:19 EDT 2023
% 0.18/0.35  % CPUTime  : 
% 0.18/0.35  % Running portfolio for 300 s
% 0.18/0.35  % File         : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.18/0.35  % Number of cores: 8
% 0.18/0.36  % Python version: Python 3.6.8
% 0.18/0.36  % Running in FO mode
% 0.21/0.65  % Total configuration time : 435
% 0.21/0.65  % Estimated wc time : 1092
% 0.21/0.65  % Estimated cpu time (7 cpus) : 156.0
% 0.21/0.74  % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.21/0.74  % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.21/0.74  % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.21/0.75  % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.21/0.75  % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.21/0.75  % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 1.30/0.78  % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 14.59/2.68  % Solved by fo/fo4.sh.
% 14.59/2.68  % done 571 iterations in 1.868s
% 14.59/2.68  % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 14.59/2.68  % SZS output start Refutation
% See solution above
% 14.59/2.68  
% 14.59/2.68  
% 14.59/2.68  % Terminating...
% 14.80/2.79  % Runner terminated.
% 14.80/2.79  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------