TSTP Solution File: NUM568+3 by SNARK---20120808r022

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SNARK---20120808r022
% Problem  : NUM568+3 : TPTP v8.1.0. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run-snark %s %d

% Computer : n014.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 14:11:46 EDT 2022

% Result   : Theorem 30.64s 30.86s
% Output   : Refutation 30.64s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    2
%            Number of leaves      :    5
% Syntax   : Number of clauses     :    8 (   5 unt;   2 nHn;   8 RR)
%            Number of literals    :   13 (   6 equ;   5 neg)
%            Maximal clause size   :    3 (   1 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    3 (   1 usr;   1 prp; 0-2 aty)
%            Number of functors    :    5 (   5 usr;   3 con; 0-1 aty)
%            Number of variables   :    3 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(46,axiom,
    ( ~ aElementOf0(X,szNzAzT0)
    | X = sz00
    | aElementOf0('SKOLEMAAAU5'(X),szNzAzT0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',mNatExtra) ).

cnf(47,axiom,
    ( ~ aElementOf0(X,szNzAzT0)
    | X = sz00
    | X = szszuzczcdt0('SKOLEMAAAU5'(X)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',mNatExtra) ).

cnf(140,hypothesis,
    aElementOf0(xK,szNzAzT0),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__3418) ).

cnf(2554,hypothesis,
    xK != sz00,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__3462) ).

cnf(2555,negated_conjecture,
    ( ~ aElementOf0(X,szNzAzT0)
    | szszuzczcdt0(X) != xK ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__) ).

cnf(2599,plain,
    aElementOf0('SKOLEMAAAU5'(xK),szNzAzT0),
    inference('UR-RESOLVE',[status(thm)],[46,140,2554]) ).

cnf(2600,plain,
    xK = szszuzczcdt0('SKOLEMAAAU5'(xK)),
    inference('UR-RESOLVE',[status(thm)],[47,140,2554]) ).

cnf(5603,plain,
    $false,
    inference('REWRITE',[status(thm)],[inference('UR-RESOLVE',[status(thm)],[2555,2599]),2600,theory(equality)]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12  % Problem  : NUM568+3 : TPTP v8.1.0. Released v4.0.0.
% 0.11/0.13  % Command  : run-snark %s %d
% 0.12/0.33  % Computer : n014.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
% 0.12/0.34  % WCLimit  : 600
% 0.12/0.34  % DateTime : Thu Jul  7 08:44:37 EDT 2022
% 0.12/0.34  % CPUTime  : 
% 0.19/0.45  /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.19/0.46  * 
% 0.19/0.46  * 
% 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  * 
% 0.19/0.47  ; Begin refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-07-07T08:44:37
% 0.19/0.47  ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n014.cluster.edu at 2022-07-07T08:44:37
% 30.64/30.86  
% 30.64/30.86  
% 30.64/30.86  #||
% 30.64/30.86  % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 30.64/30.86  % SZS output start Refutation
% See solution above
% 30.64/30.86  ||#
% 30.64/30.86  
% 30.64/30.86  ; Summary of computation:
% 30.64/30.86  ;      7451 formulas have been input or derived (from 2605 formulas).
% 30.64/30.86  ;      5603 (75%) were retained.  Of these,
% 30.64/30.86  ;          375 ( 7%) were simplified or subsumed later,
% 30.64/30.86  ;         5228 (93%) are still being kept.
% 30.64/30.86  ; 
% 30.64/30.86  ; Run time in seconds:
% 30.64/30.86  ;     0.023   0%   Read assertion file          (1 call)
% 30.64/30.86  ;     0.125   0%   Assert                       (80 calls)
% 30.64/30.86  ;     0.541   2%   Process new row              (7,169 calls)
% 30.64/30.86  ;    27.253  90%   Resolution                   (5,208 calls)
% 30.64/30.86  ;     0.412   1%   Paramodulation               (2,604 calls)
% 30.64/30.86  ;     0.155   1%   Condensing                   (5,620 calls)
% 30.64/30.86  ;     1.218   4%   Forward subsumption          (5,620 calls)
% 30.64/30.86  ;     0.222   1%   Backward subsumption         (4,881 calls)
% 30.64/30.86  ;     0.027   0%   Clause clause subsumption    (5,735 calls)
% 30.64/30.86  ;     0.280   1%   Forward simplification       (7,169 calls)
% 30.64/30.86  ;     0.017   0%   Backward simplification      (5,603 calls)
% 30.64/30.86  ;     0.007   0%   Ordering                     (7,064 calls)
% 30.64/30.86  ;     0.001   0%   Sortal reasoning             (32 calls)
% 30.64/30.86  ;     0.014   0%   Purity testing               (1 call)
% 30.64/30.86  ;     0.084   0%   Other
% 30.64/30.86  ;    30.379        Total
% 30.64/30.86  ;    30.391        Real time
% 30.64/30.86  ; 
% 30.64/30.86  ; Term-hash-array has 5,940 terms in all.
% 30.64/30.86  ; Feature-vector-row-index has 4,525 entries (4,525 at peak, 4,881 added, 356 deleted).
% 30.64/30.86  ; Feature-vector-row-index has 56,240 nodes (56,240 at peak, 61,203 added, 4,963 deleted).
% 30.64/30.86  ;  Retrieved 8,323 possibly forward subsuming rows in 5,620 calls.
% 30.64/30.86  ;  Retrieved 741 possibly backward subsumed rows in 4,881 calls.
% 30.64/30.86  ; Path-index has 5,897 entries (5,897 at peak, 6,092 added, 195 deleted).
% 30.64/30.86  ; Path-index has 2,422 nodes (2,422 at peak, 2,454 added, 32 deleted).
% 30.64/30.86  ; Trie-index has 5,897 entries (5,897 at peak, 6,092 added, 195 deleted).
% 30.64/30.86  ; Trie-index has 13,733 nodes (13,733 at peak, 14,114 added, 381 deleted).
% 30.64/30.86  ; Retrieved 2,881 generalization terms in 53,850 calls.
% 30.64/30.86  ; Retrieved 721 instance terms in 721 calls.
% 30.64/30.86  ; Retrieved 14,884,604 unifiable terms in 910,526 calls.
% 30.64/30.86  ; 
% 30.64/30.86  ; The agenda of rows to process has 170 entries:
% 30.64/30.86  ;    10 with value 10              1 with value 22               4 with value 41
% 30.64/30.86  ;    16 with value 11              3 with value 28               1 with value 42
% 30.64/30.86  ;     4 with value 12             20 with value 31               5 with value 45
% 30.64/30.86  ;     5 with value 13              2 with value 32               8 with value 46
% 30.64/30.86  ;     1 with value 14             16 with value 34               4 with value 48
% 30.64/30.86  ;     4 with value 15             18 with value 35               2 with value 49
% 30.64/30.86  ;     5 with value 16              8 with value 37               4 with value 50
% 30.64/30.86  ;     1 with value 17              8 with value 38               2 with value 51
% 30.64/30.86  ;    10 with value 18              4 with value 39               2 with value 58
% 30.64/30.86  ;     2 with value 19
% 30.64/30.86  ; The agenda of rows to give has 2623 entries:
% 30.64/30.86  ;    18 with value (4 7)          36 with value (4 38)           7 with value (4 69)
% 30.64/30.86  ;    54 with value (4 8)          44 with value (4 39)           6 with value (4 70)
% 30.64/30.86  ;    90 with value (4 9)           4 with value (4 40)           1 with value (4 71)
% 30.64/30.86  ;   165 with value (4 10)         55 with value (4 41)           8 with value (4 72)
% 30.64/30.86  ;   132 with value (4 11)         71 with value (4 42)           5 with value (4 73)
% 30.64/30.86  ;    90 with value (4 12)         19 with value (4 43)           7 with value (4 74)
% 30.64/30.86  ;    36 with value (4 13)         35 with value (4 44)           8 with value (4 75)
% 30.64/30.86  ;    29 with value (4 14)         35 with value (4 45)           6 with value (4 76)
% 30.64/30.86  ;    35 with value (4 15)         64 with value (4 46)          11 with value (4 77)
% 30.64/30.86  ;    29 with value (4 16)         65 with value (4 47)           8 with value (4 78)
% 30.64/30.86  ;    34 with value (4 17)         18 with value (4 48)           7 with value (4 79)
% 30.64/30.86  ;    35 with value (4 18)         20 with value (4 49)           9 with value (4 80)
% 30.64/30.86  ;    18 with value (4 19)         23 with value (4 50)          10 with value (4 81)
% 30.64/30.86  ;    22 with value (4 20)         12 with value (4 51)          11 with value (4 82)
% 30.64/30.86  ;    51 with value (4 21)         11 with value (4 52)           9 with value (4 83)
% 30.64/30.86  ;    27 with value (4 22)          6 with value (4 53)           8 with value (4 84)
% 30.64/30.86  ;    30 with value (4 23)          6 with value (4 54)          11 with value (4 85)
% 30.64/30.86  ;    80 with value (4 24)         10 with value (4 55)           6 with value (4 86)
% 30.64/30.86  ;    34 with value (4 25)         14 with value (4 56)           4 with value (4 87)
% 30.64/30.86  ;    46 with value (4 26)          3 with value (4 57)           6 with value (4 88)
% 30.64/30.86  ;    11 with value (4 27)         11 with value (4 58)           6 with value (4 89)
% 30.64/30.86  ;    26 with value (4 28)          4 with value (4 59)           5 with value (4 90)
% 30.64/30.86  ;     8 with value (4 29)         16 with value (4 60)           3 with value (4 91)
% 30.64/30.86  ;   108 with value (4 30)         20 with value (4 61)           5 with value (4 92)
% 30.64/30.86  ;   110 with value (4 31)          4 with value (4 62)           7 with value (4 93)
% 30.64/30.86  ;    76 with value (4 32)          5 with value (4 63)           4 with value (4 94)
% 30.64/30.86  ;    76 with value (4 33)         10 with value (4 64)           6 with value (4 95)
% 30.64/30.86  ;   107 with value (4 34)         14 with value (4 65)           3 with value (4 96)
% 30.64/30.86  ;   112 with value (4 35)         14 with value (4 66)           2 with value (4 97)
% 30.64/30.86  ;    24 with value (4 36)          5 with value (4 67)           6 with value (4 98)
% 30.64/30.86  ;    52 with value (4 37)          7 with value (4 68)           2 with value (4 101)
% 30.64/30.86  Evaluation took:
% 30.64/30.86    30.397 seconds of real time
% 30.64/30.86    30.17428 seconds of user run time
% 30.64/30.86    0.211709 seconds of system run time
% 30.64/30.86    [Run times include 0.56 seconds GC run time.]
% 30.64/30.86    0 calls to %EVAL
% 30.64/30.86    0 page faults and
% 30.64/30.86    717,258,496 bytes consed.
% 30.64/30.86  :PROOF-FOUND
% 30.64/30.86  ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-07-07T08:45:07
% 30.64/30.86  :PROOF-FOUND
% 30.64/30.86  * 
%------------------------------------------------------------------------------