TSTP Solution File: NUM294+1 by Zipperpin---2.1.9999

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : NUM294+1 : TPTP v8.1.2. Released v3.1.0.
% Transfm  : NO INFORMATION
% Format   : NO INFORMATION
% Command  : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.ciD82ZurrK true

% Computer : n016.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 12:39:47 EDT 2023

% Result   : Theorem 7.78s 1.75s
% Output   : Refutation 7.78s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    6
%            Number of leaves      :   21
% Syntax   : Number of formulae    :   36 (  14 unt;  13 typ;   0 def)
%            Number of atoms       :   39 (   0 equ;   0 cnn)
%            Maximal formula atoms :    4 (   1 avg)
%            Number of connectives :  169 (  15   ~;  10   |;   3   &; 138   @)
%                                         (   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     :   14 (  13 usr;   6 con; 0-2 aty)
%            Number of variables   :   23 (   0   ^;  21   !;   2   ?;  23   :)

% 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(n12_type,type,
    n12: $i ).

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

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(rdn12,axiom,
    rdn_translate @ n12 @ ( rdn_pos @ ( rdn @ ( rdnn @ n2 ) @ ( rdnn @ n1 ) ) ) ).

thf(zip_derived_cl12,plain,
    rdn_translate @ n12 @ ( rdn_pos @ ( rdn @ ( rdnn @ n2 ) @ ( rdnn @ n1 ) ) ),
    inference(cnf,[status(esa)],[rdn12]) ).

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 @ n12 @ X0 )
      | ~ ( rdn_translate @ X0 @ ( rdn_pos @ X1 ) )
      | ~ ( rdn_positive_less @ ( rdn @ ( rdnn @ n2 ) @ ( rdnn @ n1 ) ) @ X1 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl12,zip_derived_cl280]) ).

thf(n12_less_something,conjecture,
    ? [X: $i] : ( less @ n12 @ X ) ).

thf(zf_stmt_0,negated_conjecture,
    ~ ? [X: $i] : ( less @ n12 @ X ),
    inference('cnf.neg',[status(esa)],[n12_less_something]) ).

thf(zip_derived_cl406,plain,
    ! [X0: $i] :
      ~ ( less @ n12 @ X0 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl4991,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( rdn_positive_less @ ( rdn @ ( rdnn @ n2 ) @ ( rdnn @ n1 ) ) @ X1 )
      | ~ ( rdn_translate @ X0 @ ( rdn_pos @ X1 ) ) ),
    inference(clc,[status(thm)],[zip_derived_cl458,zip_derived_cl406]) ).

thf(zip_derived_cl5005,plain,
    ~ ( rdn_positive_less @ ( rdn @ ( rdnn @ n2 ) @ ( rdnn @ n1 ) ) @ ( rdn @ ( rdnn @ n3 ) @ ( rdnn @ n1 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl13,zip_derived_cl4991]) ).

thf(rdn_positive_less_multi_digit_low,axiom,
    ! [Ds: $i,O: $i,Db: $i] :
      ( ( ( rdn_positive_less @ ( rdnn @ Ds ) @ ( rdnn @ Db ) )
        & ( rdn_non_zero @ O ) )
     => ( rdn_positive_less @ ( rdn @ ( rdnn @ Ds ) @ O ) @ ( rdn @ ( rdnn @ Db ) @ O ) ) ) ).

thf(zip_derived_cl276,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ~ ( rdn_non_zero @ X0 )
      | ~ ( rdn_positive_less @ ( rdnn @ X1 ) @ ( rdnn @ X2 ) )
      | ( rdn_positive_less @ ( rdn @ ( rdnn @ X1 ) @ X0 ) @ ( rdn @ ( rdnn @ X2 ) @ X0 ) ) ),
    inference(cnf,[status(esa)],[rdn_positive_less_multi_digit_low]) ).

thf(zip_derived_cl5532,plain,
    ( ~ ( rdn_non_zero @ ( rdnn @ n1 ) )
    | ~ ( rdn_positive_less @ ( rdnn @ n2 ) @ ( rdnn @ n3 ) ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl5005,zip_derived_cl276]) ).

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(rdn_positive_less23,axiom,
    rdn_positive_less @ ( rdnn @ n2 ) @ ( rdnn @ n3 ) ).

thf(zip_derived_cl267,plain,
    rdn_positive_less @ ( rdnn @ n2 ) @ ( rdnn @ n3 ),
    inference(cnf,[status(esa)],[rdn_positive_less23]) ).

thf(zip_derived_cl5533,plain,
    $false,
    inference(demod,[status(thm)],[zip_derived_cl5532,zip_derived_cl410,zip_derived_cl267]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem  : NUM294+1 : TPTP v8.1.2. Released v3.1.0.
% 0.00/0.13  % Command  : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.ciD82ZurrK true
% 0.16/0.34  % Computer : n016.cluster.edu
% 0.16/0.34  % Model    : x86_64 x86_64
% 0.16/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.34  % Memory   : 8042.1875MB
% 0.16/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.16/0.34  % CPULimit : 300
% 0.16/0.34  % WCLimit  : 300
% 0.16/0.34  % DateTime : Fri Aug 25 18:12:25 EDT 2023
% 0.16/0.34  % CPUTime  : 
% 0.16/0.34  % Running portfolio for 300 s
% 0.16/0.34  % File         : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.16/0.35  % Number of cores: 8
% 0.16/0.35  % Python version: Python 3.6.8
% 0.16/0.35  % Running in FO mode
% 0.20/0.65  % Total configuration time : 435
% 0.20/0.65  % Estimated wc time : 1092
% 0.20/0.65  % Estimated cpu time (7 cpus) : 156.0
% 0.20/0.71  % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.20/0.77  % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.20/0.77  % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.20/0.77  % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.20/0.77  % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.20/0.77  % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 0.20/0.77  % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 1.32/0.81  % /export/starexec/sandbox/solver/bin/fo/fo1_lcnf.sh running for 50s
% 6.69/1.58  % /export/starexec/sandbox/solver/bin/fo/fo17_bce.sh running for 50s
% 7.78/1.75  % Solved by fo/fo13.sh.
% 7.78/1.75  % done 1001 iterations in 0.956s
% 7.78/1.75  % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 7.78/1.75  % SZS output start Refutation
% See solution above
% 7.78/1.76  
% 7.78/1.76  
% 7.78/1.76  % Terminating...
% 8.14/1.86  % Runner terminated.
% 8.14/1.88  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------