TSTP Solution File: ITP243_1 by Zipperpin---2.1.9999

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : ITP243_1 : TPTP v8.1.2. Released v8.0.0.
% Transfm  : NO INFORMATION
% Format   : NO INFORMATION
% Command  : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.XWd5Sw0x91 true

% Computer : n020.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 05:23:35 EDT 2023

% Result   : Theorem 7.14s 1.70s
% Output   : Refutation 7.14s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    4
%            Number of leaves      :   35
% Syntax   : Number of formulae    :   41 (   7 unt;  32 typ;   0 def)
%            Number of atoms       :   11 (   5 equ;   0 cnn)
%            Maximal formula atoms :    2 (   1 avg)
%            Number of connectives :  128 (   4   ~;   1   |;   0   &; 122   @)
%                                         (   1 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   11 (   7 avg)
%            Number of types       :   13 (  12 usr)
%            Number of type conns  :   18 (  18   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   22 (  20 usr;  10 con; 0-2 aty)
%            Number of variables   :    4 (   0   ^;   4   !;   0   ?;   4   :)

% Comments : 
%------------------------------------------------------------------------------
thf(option_nat_type,type,
    option_nat: $tType ).

thf(vEBT_VEBT_type,type,
    vEBT_VEBT: $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(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(set_nat_type,type,
    set_nat: $tType ).

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

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

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

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

thf(divide_divide_nat_type,type,
    divide_divide_nat: fun_nat_fun_nat_nat ).

thf(one_type,type,
    one: num ).

thf(some_nat_type,type,
    some_nat: nat > option_nat ).

thf(numeral_numeral_nat_type,type,
    numeral_numeral_nat: fun_num_nat ).

thf(deg_type,type,
    deg: nat ).

thf(vEBT_VEBT_set_vebt_type,type,
    vEBT_VEBT_set_vebt: vEBT_VEBT > set_nat ).

thf(vEBT_is_succ_in_set_type,type,
    vEBT_is_succ_in_set: set_nat > fun_nat_fun_nat_bool ).

thf(vEBT_vebt_succ_type,type,
    vEBT_vebt_succ: vEBT_VEBT > nat > option_nat ).

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

thf(summary_type,type,
    summary: vEBT_VEBT ).

thf(xa_type,type,
    xa: nat ).

thf(vEBT_VEBT_high_type,type,
    vEBT_VEBT_high: fun_nat_fun_nat_nat ).

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

thf(sc_type,type,
    sc: nat ).

thf(fact_1__092_060open_062vebt__succ_Asummary_A_Ihigh_Ax_A_Ideg_Adiv_A2_J_J_A_061_ASome_Asc_092_060close_062,axiom,
    ( ( vEBT_vebt_succ @ summary @ ( aa_nat_nat @ ( aa_nat_fun_nat_nat @ vEBT_VEBT_high @ xa ) @ ( aa_nat_nat @ ( aa_nat_fun_nat_nat @ divide_divide_nat @ deg ) @ ( aa_num_nat @ numeral_numeral_nat @ ( aa_num_num @ bit0 @ one ) ) ) ) )
    = ( some_nat @ sc ) ) ).

thf(zip_derived_cl2,plain,
    ( ( vEBT_vebt_succ @ summary @ ( aa_nat_nat @ ( aa_nat_fun_nat_nat @ vEBT_VEBT_high @ xa ) @ ( aa_nat_nat @ ( aa_nat_fun_nat_nat @ divide_divide_nat @ deg ) @ ( aa_num_nat @ numeral_numeral_nat @ ( aa_num_num @ bit0 @ one ) ) ) ) )
    = ( some_nat @ sc ) ),
    inference(cnf,[status(esa)],[fact_1__092_060open_062vebt__succ_Asummary_A_Ihigh_Ax_A_Ideg_Adiv_A2_J_J_A_061_ASome_Asc_092_060close_062]) ).

thf(fact_0__C4_Ohyps_C_I3_J,axiom,
    ! [X: nat,Sx: nat] :
      ( ( ( vEBT_vebt_succ @ summary @ X )
        = ( some_nat @ Sx ) )
    <=> ( pp @ ( aa_nat_bool @ ( aa_nat_fun_nat_bool @ ( vEBT_is_succ_in_set @ ( vEBT_VEBT_set_vebt @ summary ) ) @ X ) @ Sx ) ) ) ).

thf(zip_derived_cl0,plain,
    ! [X0: nat,X1: nat] :
      ( ( pp @ ( aa_nat_bool @ ( aa_nat_fun_nat_bool @ ( vEBT_is_succ_in_set @ ( vEBT_VEBT_set_vebt @ summary ) ) @ X0 ) @ X1 ) )
      | ( ( vEBT_vebt_succ @ summary @ X0 )
       != ( some_nat @ X1 ) ) ),
    inference(cnf,[status(esa)],[fact_0__C4_Ohyps_C_I3_J]) ).

thf(conj_0,conjecture,
    pp @ ( aa_nat_bool @ ( aa_nat_fun_nat_bool @ ( vEBT_is_succ_in_set @ ( vEBT_VEBT_set_vebt @ summary ) ) @ ( aa_nat_nat @ ( aa_nat_fun_nat_nat @ vEBT_VEBT_high @ xa ) @ ( aa_nat_nat @ ( aa_nat_fun_nat_nat @ divide_divide_nat @ deg ) @ ( aa_num_nat @ numeral_numeral_nat @ ( aa_num_num @ bit0 @ one ) ) ) ) ) @ sc ) ).

thf(zf_stmt_0,negated_conjecture,
    ~ ( pp @ ( aa_nat_bool @ ( aa_nat_fun_nat_bool @ ( vEBT_is_succ_in_set @ ( vEBT_VEBT_set_vebt @ summary ) ) @ ( aa_nat_nat @ ( aa_nat_fun_nat_nat @ vEBT_VEBT_high @ xa ) @ ( aa_nat_nat @ ( aa_nat_fun_nat_nat @ divide_divide_nat @ deg ) @ ( aa_num_nat @ numeral_numeral_nat @ ( aa_num_num @ bit0 @ one ) ) ) ) ) @ sc ) ),
    inference('cnf.neg',[status(esa)],[conj_0]) ).

thf(zip_derived_cl251,plain,
    ~ ( pp @ ( aa_nat_bool @ ( aa_nat_fun_nat_bool @ ( vEBT_is_succ_in_set @ ( vEBT_VEBT_set_vebt @ summary ) ) @ ( aa_nat_nat @ ( aa_nat_fun_nat_nat @ vEBT_VEBT_high @ xa ) @ ( aa_nat_nat @ ( aa_nat_fun_nat_nat @ divide_divide_nat @ deg ) @ ( aa_num_nat @ numeral_numeral_nat @ ( aa_num_num @ bit0 @ one ) ) ) ) ) @ sc ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl301,plain,
    ( ( vEBT_vebt_succ @ summary @ ( aa_nat_nat @ ( aa_nat_fun_nat_nat @ vEBT_VEBT_high @ xa ) @ ( aa_nat_nat @ ( aa_nat_fun_nat_nat @ divide_divide_nat @ deg ) @ ( aa_num_nat @ numeral_numeral_nat @ ( aa_num_num @ bit0 @ one ) ) ) ) )
   != ( some_nat @ sc ) ),
    inference('sup-',[status(thm)],[zip_derived_cl0,zip_derived_cl251]) ).

thf(zip_derived_cl308,plain,
    $false,
    inference('simplify_reflect-',[status(thm)],[zip_derived_cl2,zip_derived_cl301]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem  : ITP243_1 : TPTP v8.1.2. Released v8.0.0.
% 0.13/0.14  % Command  : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.XWd5Sw0x91 true
% 0.13/0.35  % Computer : n020.cluster.edu
% 0.13/0.35  % Model    : x86_64 x86_64
% 0.13/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35  % Memory   : 8042.1875MB
% 0.13/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35  % CPULimit : 300
% 0.13/0.35  % WCLimit  : 300
% 0.13/0.35  % DateTime : Sun Aug 27 12:26:29 EDT 2023
% 0.13/0.35  % CPUTime  : 
% 0.13/0.35  % Running portfolio for 300 s
% 0.13/0.35  % File         : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.13/0.35  % Number of cores: 8
% 0.13/0.35  % Python version: Python 3.6.8
% 0.20/0.35  % Running in FO mode
% 0.20/0.62  % Total configuration time : 435
% 0.20/0.62  % Estimated wc time : 1092
% 0.20/0.62  % Estimated cpu time (7 cpus) : 156.0
% 0.20/0.73  % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.20/0.73  % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.20/0.73  % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.20/0.75  % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.20/0.75  % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.20/0.75  % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 0.20/0.76  % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 7.14/1.70  % Solved by fo/fo4.sh.
% 7.14/1.70  % done 41 iterations in 0.872s
% 7.14/1.70  % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 7.14/1.70  % SZS output start Refutation
% See solution above
% 7.14/1.70  
% 7.14/1.70  
% 7.14/1.70  % Terminating...
% 7.78/1.74  % Runner terminated.
% 7.78/1.75  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------