TSTP Solution File: DAT019_1 by SNARK---20120808r022

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SNARK---20120808r022
% Problem  : DAT019_1 : TPTP v8.1.0. Released v5.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run-snark %s %d

% Computer : n004.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  : 600s
% DateTime : Sat Jul 16 01:27:13 EDT 2022

% Result   : Theorem 0.20s 0.51s
% Output   : Refutation 0.20s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    2
%            Number of leaves      :    3
% Syntax   : Number of formulae    :    5 (   4 unt;   0 typ;   0 def)
%            Number of atoms       :   14 (   0 equ)
%            Maximal formula atoms :    2 (   2 avg)
%            Number of connectives :    3 (   2   ~;   1   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    6 (   3 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of FOOLs       :    8 (   8 fml;   0 var)
%            Number arithmetic     :    9 (   0 atm;   0 fun;   4 num;   5 var)
%            Number of types       :    1 (   0 usr;   1 ari)
%            Number of type conns  :    0 (   0   >;   0   *;   0   +;   0  <<)
%            Number of predicates  :    5 (   4 usr;   3 prp; 0-2 aty)
%            Number of functors    :    3 (   0 usr;   3 con; 0-0 aty)
%            Number of variables   :    8 (   0 sgn   8   !;   0   ?;   8   :)

% Comments : 
%------------------------------------------------------------------------------
tff(2,axiom,
    ! [X: $int,Y: collection] : in(X,add(X,Y)),
    file('/export/starexec/sandbox/benchmark/Axioms/DAT002=0.ax',ax2) ).

tff(4,axiom,
    ! [X: $int,Y: collection,Z: $int] :
      ( ~ in(X,Y)
      | in(X,add(Z,Y)) ),
    file('/export/starexec/sandbox/benchmark/Axioms/DAT002=0.ax',ax4) ).

tff(10,negated_conjecture,
    ~ in(3,add(1,add(3,add(5,empty)))),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1) ).

tff(11,plain,
    ! [X: $int,Y: $int,Z: collection] : in(X,add(Y,add(X,Z))),
    inference('HYPERRESOLVE',[status(thm)],[4,2]) ).

cnf(12,plain,
    $false,
    inference('REWRITE',[status(thm)],[10,11]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12  % Problem  : DAT019_1 : TPTP v8.1.0. Released v5.0.0.
% 0.12/0.13  % Command  : run-snark %s %d
% 0.13/0.34  % Computer : n004.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34  % CPULimit : 300
% 0.13/0.34  % WCLimit  : 600
% 0.13/0.34  % DateTime : Fri Jul  1 18:02:53 EDT 2022
% 0.13/0.35  % CPUTime  : 
% 0.20/0.46  /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.20/0.47  * 
% 0.20/0.47  * 
% 0.20/0.48  #<PACKAGE "SNARK-USER">
% 0.20/0.48  * 
% 0.20/0.48  SNARK-TPTP-OPTIONS
% 0.20/0.48  * 
% 0.20/0.48  ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.20/0.48   (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.20/0.48   (USE-FACTORING :POS)
% 0.20/0.48   (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.20/0.48   (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.20/0.48   (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.20/0.48   (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.20/0.48   (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.20/0.48   (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.20/0.48   (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.20/0.48   (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.20/0.48   (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.20/0.48   (DECLARE-TPTP-SYMBOLS2))
% 0.20/0.48  * 
% 0.20/0.48  "."
% 0.20/0.48  * 
% 0.20/0.48  ; Begin refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-07-01T18:02:53
% 0.20/0.48  ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n004.cluster.edu at 2022-07-01T18:02:53
% 0.20/0.50  
% 0.20/0.50  
% 0.20/0.50  #||
% 0.20/0.51  % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.20/0.51  % SZS output start Refutation
% See solution above
% 0.20/0.51  ||#
% 0.20/0.51  
% 0.20/0.51  ; Summary of computation:
% 0.20/0.51  ;        13 formulas have been input or derived (from 5 formulas).
% 0.20/0.51  ;        12 (92%) were retained.  Of these,
% 0.20/0.51  ;            1 ( 8%) were simplified or subsumed later,
% 0.20/0.51  ;           11 (92%) are still being kept.
% 0.20/0.51  ; 
% 0.20/0.51  ; Run time in seconds excluding printing time:
% 0.20/0.51  ;     0.003  11%   Read assertion file          (1 call)
% 0.20/0.51  ;     0.000   0%   Assert                       (6 calls)
% 0.20/0.51  ;     0.000   0%   Process new row              (12 calls)
% 0.20/0.51  ;     0.000   0%   Resolution                   (8 calls)
% 0.20/0.51  ;     0.000   0%   Paramodulation               (4 calls)
% 0.20/0.51  ;     0.000   0%   Condensing                   (6 calls)
% 0.20/0.51  ;     0.000   0%   Forward subsumption          (6 calls)
% 0.20/0.51  ;     0.000   0%   Backward subsumption         (6 calls)
% 0.20/0.51  ;     0.002   7%   Forward simplification       (12 calls)
% 0.20/0.51  ;     0.000   0%   Backward simplification      (12 calls)
% 0.20/0.51  ;     0.000   0%   Ordering                     (1 call)
% 0.20/0.51  ;     0.000   0%   Sortal reasoning             (40 calls)
% 0.20/0.51  ;     0.000   0%   Purity testing               (1 call)
% 0.20/0.51  ;     0.022  81%   Other
% 0.20/0.51  ;     0.027        Total
% 0.20/0.51  ;     0.030        Real time
% 0.20/0.51  ; 
% 0.20/0.51  ; Term-hash-array has 23 terms in all.
% 0.20/0.51  ; Feature-vector-row-index has 6 entries (6 at peak, 6 added, 0 deleted).
% 0.20/0.51  ; Feature-vector-row-index has 11 nodes (11 at peak, 11 added, 0 deleted).
% 0.20/0.51  ;  Retrieved 1 possibly forward subsuming row in 6 calls.
% 0.20/0.51  ;  Retrieved 1 possibly backward subsumed row in 6 calls.
% 0.20/0.51  ; Path-index has 20 entries (27 at peak, 27 added, 7 deleted).
% 0.20/0.51  ; Path-index has 46 nodes (63 at peak, 63 added, 17 deleted).
% 0.20/0.51  ; Trie-index has 20 entries (27 at peak, 27 added, 7 deleted).
% 0.20/0.51  ; Trie-index has 27 nodes (50 at peak, 50 added, 23 deleted).
% 0.20/0.51  ; Retrieved 8 generalization terms in 14 calls.
% 0.20/0.51  ; Retrieved 6 instance terms in 5 calls.
% 0.20/0.51  ; Retrieved 34 unifiable terms in 16 calls.
% 0.20/0.51  ; 
% 0.20/0.51  ; The agenda of input rows to give has 5 entries:
% 0.20/0.51  ;     3 with value 11              2 with value 15
% 0.20/0.51  ; The agenda of rows to give has 1 entry:
% 0.20/0.51  ;     1 with value (4 11)
% 0.20/0.51  Evaluation took:
% 0.20/0.51    0.03 seconds of real time
% 0.20/0.51    0.026687 seconds of user run time
% 0.20/0.51    0.00277 seconds of system run time
% 0.20/0.51    0 calls to %EVAL
% 0.20/0.51    0 page faults and
% 0.20/0.51    1,608,488 bytes consed.
% 0.20/0.51  :PROOF-FOUND
% 0.20/0.51  ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-07-01T18:02:53
% 0.20/0.51  :PROOF-FOUND
% 0.20/0.51  * 
%------------------------------------------------------------------------------