TSTP Solution File: NUM551+3 by SNARK---20120808r022

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%------------------------------------------------------------------------------
% File     : SNARK---20120808r022
% Problem  : NUM551+3 : TPTP v8.1.0. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run-snark %s %d

% Computer : n023.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 : Mon Jul 18 14:11:36 EDT 2022

% Result   : Theorem 0.19s 0.54s
% Output   : Refutation 0.19s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    2
%            Number of leaves      :    4
% Syntax   : Number of clauses     :    6 (   4 unt;   0 nHn;   6 RR)
%            Number of literals    :    9 (   0 equ;   5 neg)
%            Maximal clause size   :    3 (   1 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :    4 (   3 usr;   1 prp; 0-2 aty)
%            Number of functors    :    2 (   2 usr;   2 con; 0-0 aty)
%            Number of variables   :    3 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(1,axiom,
    ( ~ aSet0(X)
    | ~ aElementOf0(Y,X)
    | aElement0(Y) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',mEOfElem) ).

cnf(131,hypothesis,
    aSet0(xQ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__2270) ).

cnf(137,hypothesis,
    aElementOf0('SKOLEMAAAU16',xQ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__2313) ).

cnf(139,negated_conjecture,
    ( ~ aElement0(X)
    | ~ aElementOf0(X,xQ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__) ).

cnf(147,plain,
    ~ aElement0('SKOLEMAAAU16'),
    inference('UR-RESOLVE',[status(thm)],[139,137]) ).

cnf(164,plain,
    $false,
    inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[1,131,137]),147]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12  % Problem  : NUM551+3 : TPTP v8.1.0. Released v4.0.0.
% 0.11/0.12  % Command  : run-snark %s %d
% 0.12/0.33  % Computer : n023.cluster.edu
% 0.12/0.33  % Model    : x86_64 x86_64
% 0.12/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33  % Memory   : 8042.1875MB
% 0.12/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33  % CPULimit : 300
% 0.12/0.33  % WCLimit  : 600
% 0.12/0.33  % DateTime : Tue Jul  5 16:30:12 EDT 2022
% 0.12/0.33  % CPUTime  : 
% 0.19/0.44  /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.19/0.45  * 
% 0.19/0.45  * 
% 0.19/0.46  #<PACKAGE "SNARK-USER">
% 0.19/0.46  * 
% 0.19/0.46  SNARK-TPTP-OPTIONS
% 0.19/0.46  * 
% 0.19/0.46  ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.19/0.46   (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.19/0.46   (USE-FACTORING :POS)
% 0.19/0.46   (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.19/0.46   (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.19/0.46   (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.19/0.46   (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.19/0.46   (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.19/0.46   (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.19/0.46   (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.19/0.46   (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.19/0.46   (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.19/0.46   (DECLARE-TPTP-SYMBOLS2))
% 0.19/0.46  * 
% 0.19/0.46  "."
% 0.19/0.46  * 
% 0.19/0.46  ; Begin refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-07-05T16:30:12
% 0.19/0.46  ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n023.cluster.edu at 2022-07-05T16:30:12
% 0.19/0.50  WARNING:
% 0.19/0.50     |iLess0| is a 2-ary relation that occurs only positively; disabling rows that contain it.
% 0.19/0.54  
% 0.19/0.54  
% 0.19/0.54  #||
% 0.19/0.54  % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.19/0.54  % SZS output start Refutation
% See solution above
% 0.19/0.54  ||#
% 0.19/0.54  
% 0.19/0.54  ; Summary of computation:
% 0.19/0.54  ;       214 formulas have been input or derived (from 34 formulas).
% 0.19/0.54  ;       164 (77%) were retained.  Of these,
% 0.19/0.54  ;          164 (100%) are still being kept.
% 0.19/0.54  ; 
% 0.19/0.54  ; Run time in seconds excluding printing time:
% 0.19/0.54  ;     0.018  24%   Read assertion file          (1 call)
% 0.19/0.54  ;     0.005   7%   Assert                       (68 calls)
% 0.19/0.54  ;     0.012  16%   Process new row              (198 calls)
% 0.19/0.54  ;     0.004   5%   Resolution                   (66 calls)
% 0.19/0.54  ;     0.000   0%   Paramodulation               (33 calls)
% 0.19/0.54  ;     0.003   4%   Condensing                   (122 calls)
% 0.19/0.54  ;     0.005   7%   Forward subsumption          (122 calls)
% 0.19/0.54  ;     0.000   0%   Backward subsumption         (117 calls)
% 0.19/0.54  ;     0.000   0%   Clause clause subsumption    (34 calls)
% 0.19/0.54  ;     0.001   1%   Forward simplification       (197 calls)
% 0.19/0.54  ;     0.001   1%   Backward simplification      (164 calls)
% 0.19/0.54  ;     0.000   0%   Ordering                     (10 calls)
% 0.19/0.54  ;     0.001   1%   Sortal reasoning             (32 calls)
% 0.19/0.54  ;     0.001   1%   Purity testing               (1 call)
% 0.19/0.54  ;     0.025  33%   Other
% 0.19/0.54  ;     0.076        Total
% 0.19/0.54  ;     0.077        Real time
% 0.19/0.54  ; 
% 0.19/0.54  ; Term-hash-array has 221 terms in all.
% 0.19/0.54  ; Feature-vector-row-index has 117 entries (117 at peak, 117 added, 0 deleted).
% 0.19/0.54  ; Feature-vector-row-index has 540 nodes (540 at peak, 540 added, 0 deleted).
% 0.19/0.54  ;  Retrieved 43 possibly forward subsuming rows in 122 calls.
% 0.19/0.54  ;  Retrieved 11 possibly backward subsumed rows in 117 calls.
% 0.19/0.54  ; Path-index has 231 entries (231 at peak, 231 added, 0 deleted).
% 0.19/0.54  ; Path-index has 494 nodes (494 at peak, 494 added, 0 deleted).
% 0.19/0.54  ; Trie-index has 231 entries (231 at peak, 231 added, 0 deleted).
% 0.19/0.54  ; Trie-index has 463 nodes (463 at peak, 463 added, 0 deleted).
% 0.19/0.54  ; Retrieved 33 generalization terms in 301 calls.
% 0.19/0.54  ; Retrieved 46 instance terms in 46 calls.
% 0.19/0.54  ; Retrieved 1,545 unifiable terms in 230 calls.
% 0.19/0.54  ; 
% 0.19/0.54  ; The agenda of rows to process has 11 entries:
% 0.19/0.54  ;    11 with value 4
% 0.19/0.54  ; The agenda of input rows to give has 106 entries:
% 0.19/0.54  ;     9 with value 10              7 with value 20               2 with value 31
% 0.19/0.54  ;     2 with value 11              4 with value 21               2 with value 32
% 0.19/0.54  ;     3 with value 12             10 with value 22               1 with value 33
% 0.19/0.54  ;     8 with value 13              1 with value 23               2 with value 35
% 0.19/0.54  ;     2 with value 14              6 with value 24               1 with value 36
% 0.19/0.54  ;     8 with value 15              5 with value 25               2 with value 39
% 0.19/0.54  ;     4 with value 16              1 with value 26               1 with value 40
% 0.19/0.54  ;     8 with value 17              1 with value 27               1 with value 43
% 0.19/0.54  ;     4 with value 18              4 with value 28               1 with value 47
% 0.19/0.54  ;     5 with value 19              1 with value 29
% 0.19/0.54  ; The agenda of rows to give has 24 entries:
% 0.19/0.54  ;     5 with value (4 4)           4 with value (4 6)            2 with value (4 10)
% 0.19/0.54  ;    11 with value (4 5)           2 with value (4 9)
% 0.19/0.54  Evaluation took:
% 0.19/0.54    0.078 seconds of real time
% 0.19/0.54    0.066417 seconds of user run time
% 0.19/0.54    0.011537 seconds of system run time
% 0.19/0.54    0 calls to %EVAL
% 0.19/0.54    0 page faults and
% 0.19/0.54    3,733,992 bytes consed.
% 0.19/0.54  :PROOF-FOUND
% 0.19/0.54  ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-07-05T16:30:12
% 0.19/0.54  :PROOF-FOUND
% 0.19/0.54  * 
%------------------------------------------------------------------------------