TSTP Solution File: NUM292+1 by Zipperpin---2.1.9999

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : NUM292+1 : TPTP v8.1.2. Released v3.1.0.
% Transfm  : NO INFORMATION
% Format   : NO INFORMATION
% Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.VhUyAOP4wE true

% Computer : n027.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 12:39:46 EDT 2023

% Result   : Theorem 6.60s 1.54s
% Output   : Refutation 6.60s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    6
%            Number of leaves      :   19
% Syntax   : Number of formulae    :   33 (  13 unt;  12 typ;   0 def)
%            Number of atoms       :   34 (   0 equ;   0 cnn)
%            Maximal formula atoms :    4 (   1 avg)
%            Number of connectives :  127 (  12   ~;   8   |;   2   &; 102   @)
%                                         (   0 <=>;   3  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   11 (   6 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :   12 (  12   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   13 (  12 usr;   5 con; 0-2 aty)
%            Number of variables   :   18 (   0   ^;  18   !;   0   ?;  18   :)

% Comments : 
%------------------------------------------------------------------------------
thf(n1_type,type,
    n1: $i ).

thf(rdnn_type,type,
    rdnn: $i > $i ).

thf(rdn_pos_type,type,
    rdn_pos: $i > $i ).

thf(n13_type,type,
    n13: $i ).

thf(n2_type,type,
    n2: $i ).

thf(rdn_translate_type,type,
    rdn_translate: $i > $i > $o ).

thf(rdn_non_zero_digit_type,type,
    rdn_non_zero_digit: $i > $o ).

thf(rdn_non_zero_type,type,
    rdn_non_zero: $i > $o ).

thf(rdn_positive_less_type,type,
    rdn_positive_less: $i > $i > $o ).

thf(n3_type,type,
    n3: $i ).

thf(rdn_type,type,
    rdn: $i > $i > $i ).

thf(less_type,type,
    less: $i > $i > $o ).

thf(rdn_extra_digits_positive_less,axiom,
    ! [D: $i,Db: $i,Ob: $i] :
      ( ( rdn_non_zero @ Ob )
     => ( rdn_positive_less @ ( rdnn @ D ) @ ( rdn @ ( rdnn @ Db ) @ Ob ) ) ) ).

thf(zip_derived_cl277,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( rdn_positive_less @ ( rdnn @ X0 ) @ ( rdn @ ( rdnn @ X1 ) @ X2 ) )
      | ~ ( rdn_non_zero @ X2 ) ),
    inference(cnf,[status(esa)],[rdn_extra_digits_positive_less]) ).

thf(rdn13,axiom,
    rdn_translate @ n13 @ ( rdn_pos @ ( rdn @ ( rdnn @ n3 ) @ ( rdnn @ n1 ) ) ) ).

thf(zip_derived_cl13,plain,
    rdn_translate @ n13 @ ( rdn_pos @ ( rdn @ ( rdnn @ n3 ) @ ( rdnn @ n1 ) ) ),
    inference(cnf,[status(esa)],[rdn13]) ).

thf(rdn2,axiom,
    rdn_translate @ n2 @ ( rdn_pos @ ( rdnn @ n2 ) ) ).

thf(zip_derived_cl2,plain,
    rdn_translate @ n2 @ ( rdn_pos @ ( rdnn @ n2 ) ),
    inference(cnf,[status(esa)],[rdn2]) ).

thf(less_entry_point_pos_pos,axiom,
    ! [X: $i,Y: $i,RDN_X: $i,RDN_Y: $i] :
      ( ( ( rdn_translate @ X @ ( rdn_pos @ RDN_X ) )
        & ( rdn_translate @ Y @ ( rdn_pos @ RDN_Y ) )
        & ( rdn_positive_less @ RDN_X @ RDN_Y ) )
     => ( less @ X @ Y ) ) ).

thf(zip_derived_cl280,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( ( less @ X0 @ X1 )
      | ~ ( rdn_translate @ X0 @ ( rdn_pos @ X2 ) )
      | ~ ( rdn_translate @ X1 @ ( rdn_pos @ X3 ) )
      | ~ ( rdn_positive_less @ X2 @ X3 ) ),
    inference(cnf,[status(esa)],[less_entry_point_pos_pos]) ).

thf(zip_derived_cl458,plain,
    ! [X0: $i,X1: $i] :
      ( ( less @ n2 @ X0 )
      | ~ ( rdn_translate @ X0 @ ( rdn_pos @ X1 ) )
      | ~ ( rdn_positive_less @ ( rdnn @ n2 ) @ X1 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl2,zip_derived_cl280]) ).

thf(zip_derived_cl3614,plain,
    ( ( less @ n2 @ n13 )
    | ~ ( rdn_positive_less @ ( rdnn @ n2 ) @ ( rdn @ ( rdnn @ n3 ) @ ( rdnn @ n1 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl13,zip_derived_cl458]) ).

thf(n2_less_n13,conjecture,
    less @ n2 @ n13 ).

thf(zf_stmt_0,negated_conjecture,
    ~ ( less @ n2 @ n13 ),
    inference('cnf.neg',[status(esa)],[n2_less_n13]) ).

thf(zip_derived_cl406,plain,
    ~ ( less @ n2 @ n13 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl3730,plain,
    ~ ( rdn_positive_less @ ( rdnn @ n2 ) @ ( rdn @ ( rdnn @ n3 ) @ ( rdnn @ n1 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl3614,zip_derived_cl406]) ).

thf(zip_derived_cl3734,plain,
    ~ ( rdn_non_zero @ ( rdnn @ n1 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl277,zip_derived_cl3730]) ).

thf(rdn_digit1,axiom,
    rdn_non_zero_digit @ ( rdnn @ n1 ) ).

thf(zip_derived_cl256,plain,
    rdn_non_zero_digit @ ( rdnn @ n1 ),
    inference(cnf,[status(esa)],[rdn_digit1]) ).

thf(rdn_non_zero_by_digit,axiom,
    ! [X: $i] :
      ( ( rdn_non_zero_digit @ ( rdnn @ X ) )
     => ( rdn_non_zero @ ( rdnn @ X ) ) ) ).

thf(zip_derived_cl278,plain,
    ! [X0: $i] :
      ( ( rdn_non_zero @ ( rdnn @ X0 ) )
      | ~ ( rdn_non_zero_digit @ ( rdnn @ X0 ) ) ),
    inference(cnf,[status(esa)],[rdn_non_zero_by_digit]) ).

thf(zip_derived_cl410,plain,
    rdn_non_zero @ ( rdnn @ n1 ),
    inference('s_sup-',[status(thm)],[zip_derived_cl256,zip_derived_cl278]) ).

thf(zip_derived_cl3735,plain,
    $false,
    inference(demod,[status(thm)],[zip_derived_cl3734,zip_derived_cl410]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem  : NUM292+1 : TPTP v8.1.2. Released v3.1.0.
% 0.00/0.13  % Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.VhUyAOP4wE true
% 0.18/0.35  % Computer : n027.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 : Fri Aug 25 13:47:34 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
% 0.18/0.35  % Python version: Python 3.6.8
% 0.18/0.36  % Running in FO mode
% 0.21/0.67  % Total configuration time : 435
% 0.21/0.67  % Estimated wc time : 1092
% 0.21/0.67  % Estimated cpu time (7 cpus) : 156.0
% 0.21/0.72  % /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
% 1.32/0.76  % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 1.32/0.76  % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 1.32/0.76  % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 1.32/0.76  % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 1.32/0.85  % /export/starexec/sandbox2/solver/bin/fo/fo1_lcnf.sh running for 50s
% 6.60/1.54  % Solved by fo/fo13.sh.
% 6.60/1.54  % done 854 iterations in 0.748s
% 6.60/1.54  % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 6.60/1.54  % SZS output start Refutation
% See solution above
% 6.60/1.54  
% 6.60/1.54  
% 6.60/1.54  % Terminating...
% 7.11/1.63  % Runner terminated.
% 7.11/1.64  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------