TSTP Solution File: SWW613_2 by SNARK---20120808r022

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%------------------------------------------------------------------------------
% File     : SNARK---20120808r022
% Problem  : SWW613_2 : TPTP v8.1.0. Released v6.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run-snark %s %d

% Computer : n018.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 : Thu Jul 21 01:25:29 EDT 2022

% Result   : Theorem 0.47s 0.66s
% Output   : Refutation 0.47s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    1
%            Number of leaves      :    5
% Syntax   : Number of formulae    :    6 (   5 unt;   0 typ;   0 def)
%            Number of atoms       :   15 (   0 equ)
%            Maximal formula atoms :    4 (   2 avg)
%            Number of connectives :    7 (   4   ~;   3   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    7 (   2 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of FOOLs       :    6 (   6 fml;   0 var)
%            Number arithmetic     :    8 (   4 atm;   0 fun;   2 num;   2 var)
%            Number of types       :    1 (   0 usr;   1 ari)
%            Number of type conns  :    0 (   0   >;   0   *;   0   +;   0  <<)
%            Number of predicates  :    7 (   4 usr;   3 prp; 0-2 aty)
%            Number of functors    :    1 (   0 usr;   1 con; 0-0 aty)
%            Number of variables   :    2 (   0 sgn   2   !;   0   ?;   2   :)

% Comments : 
%------------------------------------------------------------------------------
tff(138,axiom,
    ! [X: $int,Y: $int] :
      ( ~ prime(X)
      | ~ $lesseq(1,Y)
      | ~ $less(Y,X)
      | coprime(Y,X) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prime_coprime) ).

tff(199,negated_conjecture,
    prime('SKOLEMAAAV18.$int'),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',wP_parameter_largest_prime_factor) ).

tff(201,negated_conjecture,
    $less('SKOLEMAAAV14.$int','SKOLEMAAAV18.$int'),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',wP_parameter_largest_prime_factor) ).

tff(204,negated_conjecture,
    $lesseq(1,'SKOLEMAAAV14.$int'),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',wP_parameter_largest_prime_factor) ).

tff(205,negated_conjecture,
    ~ coprime('SKOLEMAAAV14.$int','SKOLEMAAAV18.$int'),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',wP_parameter_largest_prime_factor) ).

cnf(657,plain,
    $false,
    inference('UR-RESOLVE',[status(thm)],[138,199,204,201,205]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12  % Problem  : SWW613_2 : TPTP v8.1.0. Released v6.1.0.
% 0.11/0.13  % Command  : run-snark %s %d
% 0.13/0.35  % Computer : n018.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  : 600
% 0.13/0.35  % DateTime : Sat Jun  4 21:28:03 EDT 2022
% 0.13/0.35  % CPUTime  : 
% 0.20/0.47  /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.20/0.48  * 
% 0.20/0.48  * 
% 0.20/0.49  #<PACKAGE "SNARK-USER">
% 0.20/0.49  * 
% 0.20/0.49  SNARK-TPTP-OPTIONS
% 0.20/0.49  * 
% 0.20/0.49  ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.20/0.49   (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.20/0.49   (USE-FACTORING :POS)
% 0.20/0.49   (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.20/0.49   (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.20/0.49   (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.20/0.49   (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.20/0.49   (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.20/0.49   (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.20/0.49   (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.20/0.49   (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.20/0.49   (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.20/0.49   (DECLARE-TPTP-SYMBOLS2))
% 0.20/0.49  * 
% 0.20/0.49  "."
% 0.20/0.49  * 
% 0.20/0.49  ; Begin refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-06-04T21:28:03
% 0.20/0.49  ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n018.cluster.edu at 2022-06-04T21:28:03
% 0.20/0.54  WARNING: Cannot use equality or equivalence (= ?X.tuple0 tuple02) as rewrite.
% 0.47/0.66  
% 0.47/0.66  
% 0.47/0.66  #||
% 0.47/0.66  % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.47/0.66  % SZS output start Refutation
% See solution above
% 0.47/0.66  ||#
% 0.47/0.66  
% 0.47/0.66  ; Summary of computation:
% 0.47/0.66  ;      1388 formulas have been input or derived (from 152 formulas).
% 0.47/0.66  ;       657 (47%) were retained.  Of these,
% 0.47/0.66  ;           34 ( 5%) were simplified or subsumed later,
% 0.47/0.66  ;          623 (95%) are still being kept.
% 0.47/0.66  ; 
% 0.47/0.66  ; Run time in seconds excluding printing time:
% 0.47/0.66  ;     0.032  19%   Read assertion file          (1 call)
% 0.47/0.66  ;     0.005   3%   Assert                       (113 calls)
% 0.47/0.66  ;     0.035  20%   Process new row              (1,269 calls)
% 0.47/0.66  ;     0.021  12%   Resolution                   (302 calls)
% 0.47/0.66  ;     0.001   1%   Paramodulation               (151 calls)
% 0.47/0.66  ;     0.000   0%   Factoring                    (10 calls)
% 0.47/0.66  ;     0.006   4%   Condensing                   (332 calls)
% 0.47/0.66  ;     0.006   4%   Forward subsumption          (332 calls)
% 0.47/0.66  ;     0.005   3%   Backward subsumption         (311 calls)
% 0.47/0.66  ;     0.001   1%   Clause clause subsumption    (212 calls)
% 0.47/0.66  ;     0.017  10%   Forward simplification       (1,269 calls)
% 0.47/0.66  ;     0.007   4%   Backward simplification      (635 calls)
% 0.47/0.66  ;     0.001   1%   Ordering                     (647 calls)
% 0.47/0.66  ;     0.000   0%   Ordering ac                  (3 calls)
% 0.47/0.66  ;     0.002   1%   Sortal reasoning             (3,030 calls)
% 0.47/0.66  ;     0.001   1%   Purity testing               (1 call)
% 0.47/0.66  ;     0.031  18%   Other
% 0.47/0.66  ;     0.171        Total
% 0.47/0.66  ;     0.172        Real time
% 0.47/0.66  ; 
% 0.47/0.66  ; Term-hash-array has 1,068 terms in all.
% 0.47/0.66  ; Feature-vector-row-index has 310 entries (310 at peak, 311 added, 1 deleted).
% 0.47/0.66  ; Feature-vector-row-index has 1,203 nodes (1,203 at peak, 1,203 added, 0 deleted).
% 0.47/0.66  ;  Retrieved 179 possibly forward subsuming rows in 332 calls.
% 0.47/0.66  ;  Retrieved 70 possibly backward subsumed rows in 311 calls.
% 0.47/0.66  ; Path-index has 1,071 entries (1,071 at peak, 1,091 added, 20 deleted).
% 0.47/0.66  ; Path-index has 2,060 nodes (2,060 at peak, 2,088 added, 28 deleted).
% 0.47/0.66  ; Trie-index has 1,071 entries (1,071 at peak, 1,091 added, 20 deleted).
% 0.47/0.66  ; Trie-index has 1,831 nodes (1,831 at peak, 1,878 added, 47 deleted).
% 0.47/0.66  ; Retrieved 4,114 generalization terms in 2,527 calls.
% 0.47/0.66  ; Retrieved 585 instance terms in 341 calls.
% 0.47/0.66  ; Retrieved 13,033 unifiable terms in 1,629 calls.
% 0.47/0.66  ; 
% 0.47/0.66  ; The agenda of rows to process has 27 entries:
% 0.47/0.66  ;     1 with value 4              17 with value 9                5 with value 13
% 0.47/0.66  ;     4 with value 5
% 0.47/0.66  ; The agenda of input rows to give has 31 entries:
% 0.47/0.66  ;     4 with value 15              4 with value 19               1 with value 26
% 0.47/0.66  ;     5 with value 16              1 with value 20               4 with value 27
% 0.47/0.66  ;     6 with value 17              1 with value 21               1 with value 29
% 0.47/0.66  ;     4 with value 18
% 0.47/0.66  ; The agenda of rows to give has 448 entries:
% 0.47/0.66  ;     6 with value (4 4)          28 with value (4 13)           9 with value (4 21)
% 0.47/0.66  ;    28 with value (4 5)          18 with value (4 14)           1 with value (4 22)
% 0.47/0.66  ;     6 with value (4 7)          34 with value (4 15)           2 with value (4 23)
% 0.47/0.66  ;    92 with value (4 8)          32 with value (4 16)           2 with value (4 25)
% 0.47/0.66  ;    12 with value (4 9)           2 with value (4 17)           1 with value (4 28)
% 0.47/0.66  ;    51 with value (4 10)         11 with value (4 18)           1 with value (4 29)
% 0.47/0.66  ;    58 with value (4 11)          3 with value (4 19)           2 with value (4 31)
% 0.47/0.66  ;    36 with value (4 12)         12 with value (4 20)           1 with value (4 34)
% 0.47/0.66  Evaluation took:
% 0.47/0.66    0.173 seconds of real time
% 0.47/0.66    0.149535 seconds of user run time
% 0.47/0.66    0.023088 seconds of system run time
% 0.47/0.66    0 calls to %EVAL
% 0.47/0.66    0 page faults and
% 0.47/0.66    9,149,488 bytes consed.
% 0.47/0.66  :PROOF-FOUND
% 0.47/0.66  ; End refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-06-04T21:28:03
% 0.47/0.66  :PROOF-FOUND
% 0.47/0.66  * 
%------------------------------------------------------------------------------