TSTP Solution File: NUM303+1 by Zipperpin---2.1.9999

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : NUM303+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.lWFhdyr5R0 true

% Computer : n002.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 12:39:49 EDT 2023

% Result   : Theorem 9.00s 1.95s
% Output   : Refutation 9.00s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    7
%            Number of leaves      :   18
% Syntax   : Number of formulae    :   33 (  14 unt;  11 typ;   0 def)
%            Number of atoms       :   36 (   5 equ;   0 cnn)
%            Maximal formula atoms :    4 (   1 avg)
%            Number of connectives :  157 (  15   ~;   8   |;   3   &; 128   @)
%                                         (   1 <=>;   2  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   11 (   6 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :   10 (  10   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   13 (  11 usr;   6 con; 0-2 aty)
%            Number of variables   :   23 (   0   ^;  23   !;   0   ?;  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(n2_type,type,
    n2: $i ).

thf(n21_type,type,
    n21: $i ).

thf(n31_type,type,
    n31: $i ).

thf(rdn_translate_type,type,
    rdn_translate: $i > $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(rdn31,axiom,
    rdn_translate @ n31 @ ( rdn_pos @ ( rdn @ ( rdnn @ n1 ) @ ( rdnn @ n3 ) ) ) ).

thf(zip_derived_cl31,plain,
    rdn_translate @ n31 @ ( rdn_pos @ ( rdn @ ( rdnn @ n1 ) @ ( rdnn @ n3 ) ) ),
    inference(cnf,[status(esa)],[rdn31]) ).

thf(n31_not_n12,conjecture,
    n31 != n21 ).

thf(zf_stmt_0,negated_conjecture,
    n31 = n21,
    inference('cnf.neg',[status(esa)],[n31_not_n12]) ).

thf(zip_derived_cl406,plain,
    n31 = n21,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl407,plain,
    rdn_translate @ n21 @ ( rdn_pos @ ( rdn @ ( rdnn @ n1 ) @ ( rdnn @ n3 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl31,zip_derived_cl406]) ).

thf(rdn21,axiom,
    rdn_translate @ n21 @ ( rdn_pos @ ( rdn @ ( rdnn @ n1 ) @ ( rdnn @ n2 ) ) ) ).

thf(zip_derived_cl21,plain,
    rdn_translate @ n21 @ ( rdn_pos @ ( rdn @ ( rdnn @ n1 ) @ ( rdnn @ n2 ) ) ),
    inference(cnf,[status(esa)],[rdn21]) ).

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_cl462,plain,
    ! [X0: $i,X1: $i] :
      ( ( less @ n21 @ X0 )
      | ~ ( rdn_translate @ X0 @ ( rdn_pos @ X1 ) )
      | ~ ( rdn_positive_less @ ( rdn @ ( rdnn @ n1 ) @ ( rdnn @ n2 ) ) @ X1 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl21,zip_derived_cl280]) ).

thf(zip_derived_cl5733,plain,
    ( ( less @ n21 @ n21 )
    | ~ ( rdn_positive_less @ ( rdn @ ( rdnn @ n1 ) @ ( rdnn @ n2 ) ) @ ( rdn @ ( rdnn @ n1 ) @ ( rdnn @ n3 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl407,zip_derived_cl462]) ).

thf(less_property,axiom,
    ! [X: $i,Y: $i] :
      ( ( less @ X @ Y )
    <=> ( ~ ( less @ Y @ X )
        & ( Y != X ) ) ) ).

thf(zip_derived_cl284,plain,
    ! [X0: $i,X1: $i] :
      ( ( X1 != X0 )
      | ~ ( less @ X0 @ X1 ) ),
    inference(cnf,[status(esa)],[less_property]) ).

thf(zip_derived_cl408,plain,
    ! [X0: $i] :
      ~ ( less @ X0 @ X0 ),
    inference(eq_res,[status(thm)],[zip_derived_cl284]) ).

thf(zip_derived_cl5850,plain,
    ~ ( rdn_positive_less @ ( rdn @ ( rdnn @ n1 ) @ ( rdnn @ n2 ) ) @ ( rdn @ ( rdnn @ n1 ) @ ( rdnn @ n3 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl5733,zip_derived_cl408]) ).

thf(rdn_positive_less_multi_digit_high,axiom,
    ! [Ds: $i,Os: $i,Db: $i,Ob: $i] :
      ( ( rdn_positive_less @ Os @ Ob )
     => ( rdn_positive_less @ ( rdn @ ( rdnn @ Ds ) @ Os ) @ ( rdn @ ( rdnn @ Db ) @ Ob ) ) ) ).

thf(zip_derived_cl275,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( ( rdn_positive_less @ ( rdn @ ( rdnn @ X0 ) @ X1 ) @ ( rdn @ ( rdnn @ X2 ) @ X3 ) )
      | ~ ( rdn_positive_less @ X1 @ X3 ) ),
    inference(cnf,[status(esa)],[rdn_positive_less_multi_digit_high]) ).

thf(zip_derived_cl6141,plain,
    ~ ( rdn_positive_less @ ( rdnn @ n2 ) @ ( rdnn @ n3 ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl5850,zip_derived_cl275]) ).

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_cl6142,plain,
    $false,
    inference(demod,[status(thm)],[zip_derived_cl6141,zip_derived_cl267]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13  % Problem  : NUM303+1 : TPTP v8.1.2. Released v3.1.0.
% 0.07/0.14  % Command  : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.lWFhdyr5R0 true
% 0.15/0.35  % Computer : n002.cluster.edu
% 0.15/0.35  % Model    : x86_64 x86_64
% 0.15/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.35  % Memory   : 8042.1875MB
% 0.15/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.15/0.35  % CPULimit : 300
% 0.15/0.35  % WCLimit  : 300
% 0.15/0.35  % DateTime : Fri Aug 25 14:41:32 EDT 2023
% 0.15/0.35  % CPUTime  : 
% 0.15/0.35  % Running portfolio for 300 s
% 0.15/0.35  % File         : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.15/0.35  % Number of cores: 8
% 0.15/0.36  % Python version: Python 3.6.8
% 0.15/0.36  % Running in FO mode
% 0.22/0.69  % Total configuration time : 435
% 0.22/0.69  % Estimated wc time : 1092
% 0.22/0.69  % Estimated cpu time (7 cpus) : 156.0
% 0.22/0.75  % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.22/0.76  % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.22/0.77  % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.22/0.78  % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.22/0.78  % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 1.35/0.78  % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 1.35/0.79  % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 1.38/0.81  % /export/starexec/sandbox/solver/bin/fo/fo1_lcnf.sh running for 50s
% 1.38/0.83  % /export/starexec/sandbox/solver/bin/fo/fo17_bce.sh running for 50s
% 1.38/0.83  % /export/starexec/sandbox/solver/bin/fo/fo8.sh running for 50s
% 9.00/1.95  % Solved by fo/fo13.sh.
% 9.00/1.95  % done 1415 iterations in 1.154s
% 9.00/1.95  % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 9.00/1.95  % SZS output start Refutation
% See solution above
% 9.00/1.95  
% 9.00/1.95  
% 9.00/1.95  % Terminating...
% 9.00/2.02  % Runner terminated.
% 9.00/2.03  % Zipperpin 1.5 exiting
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