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SNARK---20120808r022.THM-Ref.s

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%------------------------------------------------------------------------------
% File     : SNARK---20120808r022
% Problem  : ITP327_1 : TPTP v8.1.0. Released v8.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run-snark %s %d

% Computer : n020.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 : Sun Jul 17 00:35:06 EDT 2022

% Result   : Theorem 0.71s 0.89s
% Output   : Refutation 0.71s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    2
%            Number of leaves      :    6
% Syntax   : Number of formulae    :    9 (   9 unt;   0 typ;   0 def)
%            Number of atoms       :   57 (   8 equ)
%            Maximal formula atoms :    1 (   6 avg)
%            Number of connectives :    2 (   2   ~;   0   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    3 (   2 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of FOOLs       :   48 (  48 fml;   0 var)
%            Number of types       :    0 (   0 usr)
%            Number of type conns  :    0 (   0   >;   0   *;   0   +;   0  <<)
%            Number of predicates  :   16 (  14 usr;   9 prp; 0-2 aty)
%            Number of functors    :    0 (   0 usr;   0 con; --- aty)
%            Number of variables   :    4 (   0 sgn   4   !;   0   ?;   4   :)

% Comments : 
%------------------------------------------------------------------------------
tff(23,axiom,
    ! [X: 'A$',Y: 'A$'] : ( 'fun_app$m'('uvc$'(X),Y) = 'fun_app$m'('fun_app$n'('times$e',Y),X) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom13) ).

tff(204,axiom,
    ! [X: 'A$'] : ( 'fun_app$m'('uue$',X) = 'zero$' ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom113) ).

tff(209,negated_conjecture,
    'fun_app$m'('fun_app$n'('times$e','fun_app$d'('vec_nth$b'('x$'),'the$'('uu$'))),'fun_app$d'('vec_nth$b'('xa$'),'i$')) != 'zero$',
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conjecture118) ).

tff(210,plain,
    'fun_app$m'('uvc$'('fun_app$d'('vec_nth$b'('xa$'),'i$')),'fun_app$d'('vec_nth$b'('x$'),'the$'('uu$'))) != 'zero$',
    inference('REWRITE',[status(thm)],[209,23,theory(equality)]) ).

tff(211,axiom,
    'fun_app$d'('vec_nth$b'('xa$'),'i$') = 'zero$',
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom119) ).

tff(294,axiom,
    'uue$' = 'fun_app$n'('times$e','zero$'),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom191) ).

tff(466,axiom,
    ! [X: 'A$'] : ( 'uvc$'(X) = 'fun_app$n'('times$e',X) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom348) ).

tff(1019,plain,
    'uue$' = 'uvc$'('zero$'),
    inference('REWRITE',[status(thm)],[294,466,theory(equality)]) ).

cnf(1065,plain,
    $false,
    inference('REWRITE',[status(thm)],[210,204,1019,211,theory(equality)]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12  % Problem  : ITP327_1 : TPTP v8.1.0. Released v8.0.0.
% 0.11/0.13  % Command  : run-snark %s %d
% 0.12/0.34  % Computer : n020.cluster.edu
% 0.12/0.34  % Model    : x86_64 x86_64
% 0.12/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34  % Memory   : 8042.1875MB
% 0.12/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34  % CPULimit : 300
% 0.12/0.34  % WCLimit  : 600
% 0.12/0.34  % DateTime : Fri Jun  3 10:25:53 EDT 2022
% 0.12/0.34  % CPUTime  : 
% 0.20/0.45  /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.20/0.46  * 
% 0.20/0.46  * 
% 0.20/0.47  #<PACKAGE "SNARK-USER">
% 0.20/0.47  * 
% 0.20/0.47  SNARK-TPTP-OPTIONS
% 0.20/0.47  * 
% 0.20/0.47  ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.20/0.47   (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.20/0.47   (USE-FACTORING :POS)
% 0.20/0.47   (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.20/0.47   (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.20/0.47   (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.20/0.47   (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.20/0.47   (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.20/0.47   (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.20/0.47   (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.20/0.47   (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.20/0.47   (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.20/0.47   (DECLARE-TPTP-SYMBOLS2))
% 0.20/0.47  * 
% 0.20/0.47  "."
% 0.20/0.47  * 
% 0.20/0.47  ; Begin refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-06-03T10:25:53
% 0.20/0.47  ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n020.cluster.edu at 2022-06-03T10:25:53
% 0.48/0.70  WARNING:
% 0.48/0.70     |reduced_row_echelon_form$d| is a 1-ary relation that occurs only negatively; disabling rows that contain it.
% 0.48/0.70  WARNING:
% 0.48/0.70     |reduced_row_echelon_form$e| is a 1-ary relation that occurs only negatively; disabling rows that contain it.
% 0.48/0.70  WARNING:
% 0.48/0.70     |reduced_row_echelon_form$b| is a 1-ary relation that occurs only negatively; disabling rows that contain it.
% 0.48/0.70  WARNING:
% 0.48/0.70     |reduced_row_echelon_form$a| is a 1-ary relation that occurs only negatively; disabling rows that contain it.
% 0.48/0.70  WARNING:
% 0.48/0.70     |reduced_row_echelon_form$c| is a 1-ary relation that occurs only negatively; disabling rows that contain it.
% 0.48/0.70  WARNING:
% 0.48/0.70     |less_eq$c| is a 2-ary relation that occurs only negatively; disabling rows that contain it.
% 0.48/0.70  WARNING:
% 0.48/0.70     |finite$a| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.71/0.89  
% 0.71/0.89  
% 0.71/0.89  #||
% 0.71/0.89  % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.71/0.89  % SZS output start Refutation
% See solution above
% 0.71/0.89  ||#
% 0.71/0.89  
% 0.71/0.89  ; Summary of computation:
% 0.71/0.89  ;      1312 formulas have been input or derived (from 1 formulas).
% 0.71/0.89  ;      1065 (81%) were retained.  Of these,
% 0.71/0.89  ;          141 (13%) were simplified or subsumed later,
% 0.71/0.89  ;          924 (87%) are still being kept.
% 0.71/0.89  ; 
% 0.71/0.89  ; Run time in seconds excluding printing time:
% 0.71/0.89  ;     0.187  45%   Read assertion file          (1 call)
% 0.71/0.89  ;     0.027   6%   Assert                       (755 calls)
% 0.71/0.89  ;     0.071  17%   Process new row              (1,281 calls)
% 0.71/0.89  ;     0.011   3%   Condensing                   (826 calls)
% 0.71/0.89  ;     0.027   6%   Forward subsumption          (826 calls)
% 0.71/0.89  ;     0.012   3%   Backward subsumption         (692 calls)
% 0.71/0.89  ;     0.003   1%   Clause clause subsumption    (373 calls)
% 0.71/0.89  ;     0.027   6%   Forward simplification       (1,261 calls)
% 0.71/0.89  ;     0.010   2%   Backward simplification      (1,034 calls)
% 0.71/0.89  ;     0.010   2%   Ordering                     (1,056 calls)
% 0.71/0.89  ;     0.001   0%   Sortal reasoning             (310 calls)
% 0.71/0.89  ;     0.002   0%   Purity testing               (1 call)
% 0.71/0.89  ;     0.030   7%   Other
% 0.71/0.89  ;     0.418        Total
% 0.71/0.89  ;     0.419        Real time
% 0.71/0.89  ; 
% 0.71/0.89  ; Term-hash-array has 2,696 terms in all.
% 0.71/0.89  ; Feature-vector-row-index has 630 entries (630 at peak, 692 added, 62 deleted).
% 0.71/0.89  ; Feature-vector-row-index has 3,348 nodes (3,348 at peak, 3,790 added, 442 deleted).
% 0.71/0.89  ;  Retrieved 426 possibly forward subsuming rows in 826 calls.
% 0.71/0.89  ;  Retrieved 131 possibly backward subsumed rows in 692 calls.
% 0.71/0.89  ; Path-index has 2,564 entries (2,564 at peak, 2,837 added, 273 deleted).
% 0.71/0.89  ; Path-index has 9,267 nodes (9,267 at peak, 9,632 added, 365 deleted).
% 0.71/0.89  ; Trie-index has 2,564 entries (2,564 at peak, 2,837 added, 273 deleted).
% 0.71/0.89  ; Trie-index has 8,206 nodes (8,206 at peak, 9,308 added, 1,102 deleted).
% 0.71/0.89  ; Retrieved 974 generalization terms in 4,195 calls.
% 0.71/0.89  ; Retrieved 713 instance terms in 467 calls.
% 0.71/0.89  ; 
% 0.71/0.89  ; The agenda of input rows to give has 923 entries:
% 0.71/0.89  ;     1 with value 3              48 with value 18              10 with value 32
% 0.71/0.89  ;    12 with value 4              23 with value 19               4 with value 33
% 0.71/0.89  ;    23 with value 6              34 with value 20               1 with value 34
% 0.71/0.89  ;    33 with value 7              37 with value 21               5 with value 35
% 0.71/0.89  ;    17 with value 8              28 with value 22               7 with value 36
% 0.71/0.89  ;    44 with value 9              22 with value 23               1 with value 37
% 0.71/0.89  ;    32 with value 10             56 with value 24               9 with value 38
% 0.71/0.89  ;    65 with value 11             19 with value 25               2 with value 39
% 0.71/0.89  ;    27 with value 12             20 with value 26               1 with value 40
% 0.71/0.89  ;    59 with value 13             18 with value 27               2 with value 41
% 0.71/0.89  ;    39 with value 14             20 with value 28               4 with value 42
% 0.71/0.89  ;    38 with value 15             15 with value 29               6 with value 44
% 0.71/0.89  ;    53 with value 16             12 with value 30               2 with value 58
% 0.71/0.89  ;    59 with value 17             15 with value 31
% 0.71/0.89  Evaluation took:
% 0.71/0.89    0.42 seconds of real time
% 0.71/0.89    0.39287 seconds of user run time
% 0.71/0.89    0.027044 seconds of system run time
% 0.71/0.89    [Run times include 0.02 seconds GC run time.]
% 0.71/0.89    0 calls to %EVAL
% 0.71/0.89    0 page faults and
% 0.71/0.89    29,252,224 bytes consed.
% 0.71/0.89  :PROOF-FOUND
% 0.71/0.89  ; End refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-06-03T10:25:53
% 0.71/0.89  :PROOF-FOUND
% 0.71/0.89  * 
%------------------------------------------------------------------------------