TSTP Solution File: NUM582+3 by SNARK---20120808r022

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SNARK---20120808r022
% Problem  : NUM582+3 : TPTP v8.1.0. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run-snark %s %d

% Computer : n027.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 14:11:54 EDT 2022

% Result   : Theorem 33.52s 33.72s
% Output   : Refutation 33.52s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    2
%            Number of leaves      :    7
% Syntax   : Number of clauses     :    9 (   7 unt;   0 nHn;   9 RR)
%            Number of literals    :   14 (   1 equ;   6 neg)
%            Maximal clause size   :    5 (   1 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    4 (   2 usr;   1 prp; 0-2 aty)
%            Number of functors    :    7 (   7 usr;   6 con; 0-2 aty)
%            Number of variables   :    4 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(42,axiom,
    aElementOf0(sz00,szNzAzT0),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',mZeroNum) ).

cnf(49,axiom,
    ( ~ aElementOf0(X,szNzAzT0)
    | sdtlseqdt0(sz00,X) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',mZeroLess) ).

cnf(2559,hypothesis,
    sdtlpdtrp0(xN,sz00) = xS,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__3623) ).

cnf(2597,hypothesis,
    ( ~ aElementOf0(X,szNzAzT0)
    | ~ aElementOf0(Y,szNzAzT0)
    | ~ sdtlseqdt0(Y,X)
    | ~ aElementOf0(Z,sdtlpdtrp0(xN,X))
    | aElementOf0(Z,sdtlpdtrp0(xN,Y)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__3754) ).

cnf(2604,hypothesis,
    aElementOf0(xi,szNzAzT0),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__3989) ).

cnf(2623,negated_conjecture,
    aElementOf0('SKOLEMAAAV32',sdtlpdtrp0(xN,xi)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__) ).

cnf(2624,negated_conjecture,
    ~ aElementOf0('SKOLEMAAAV32',xS),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__) ).

cnf(2637,plain,
    sdtlseqdt0(sz00,xi),
    inference('HYPERRESOLVE',[status(thm)],[49,2604]) ).

cnf(8760,plain,
    $false,
    inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[2597,2637,2604,42,2623]),2624,2559,theory(equality)]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.11  % Problem  : NUM582+3 : TPTP v8.1.0. Released v4.0.0.
% 0.07/0.12  % Command  : run-snark %s %d
% 0.12/0.33  % Computer : n027.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 : Thu Jul  7 11:45:29 EDT 2022
% 0.12/0.33  % CPUTime  : 
% 0.18/0.44  /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.18/0.45  * 
% 0.18/0.45  * 
% 0.18/0.46  #<PACKAGE "SNARK-USER">
% 0.18/0.46  * 
% 0.18/0.46  SNARK-TPTP-OPTIONS
% 0.18/0.46  * 
% 0.18/0.46  ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.18/0.46   (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.18/0.46   (USE-FACTORING :POS)
% 0.18/0.46   (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.18/0.46   (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.18/0.46   (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.18/0.46   (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.18/0.46   (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.18/0.46   (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.18/0.46   (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.18/0.46   (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.18/0.46   (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.18/0.46   (DECLARE-TPTP-SYMBOLS2))
% 0.18/0.46  * 
% 0.18/0.46  "."
% 0.18/0.46  * 
% 0.18/0.46  ; Begin refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-07-07T11:45:29
% 0.18/0.46  ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n027.cluster.edu at 2022-07-07T11:45:29
% 33.52/33.72  
% 33.52/33.72  
% 33.52/33.72  #||
% 33.52/33.72  % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 33.52/33.72  % SZS output start Refutation
% See solution above
% 33.52/33.72  ||#
% 33.52/33.72  
% 33.52/33.72  ; Summary of computation:
% 33.52/33.72  ;      9982 formulas have been input or derived (from 2645 formulas).
% 33.52/33.72  ;      8760 (88%) were retained.  Of these,
% 33.52/33.72  ;          144 ( 2%) were simplified or subsumed later,
% 33.52/33.72  ;         8616 (98%) are still being kept.
% 33.52/33.72  ; 
% 33.52/33.72  ; Run time in seconds excluding printing time:
% 33.52/33.72  ;     0.030   0%   Read assertion file          (1 call)
% 33.52/33.72  ;     0.147   0%   Assert                       (88 calls)
% 33.52/33.72  ;     1.088   3%   Process new row              (9,875 calls)
% 33.52/33.72  ;    26.416  79%   Resolution                   (5,288 calls)
% 33.52/33.72  ;     0.429   1%   Paramodulation               (2,644 calls)
% 33.52/33.72  ;     0.218   1%   Condensing                   (8,599 calls)
% 33.52/33.72  ;     3.748  11%   Forward subsumption          (8,599 calls)
% 33.52/33.72  ;     0.433   1%   Backward subsumption         (8,158 calls)
% 33.52/33.72  ;     0.043   0%   Clause clause subsumption    (8,212 calls)
% 33.52/33.72  ;     0.555   2%   Forward simplification       (9,875 calls)
% 33.52/33.72  ;     0.017   0%   Backward simplification      (8,760 calls)
% 33.52/33.72  ;     0.012   0%   Ordering                     (10,793 calls)
% 33.52/33.72  ;     0.001   0%   Sortal reasoning             (32 calls)
% 33.52/33.72  ;     0.015   0%   Purity testing               (1 call)
% 33.52/33.72  ;     0.106   0%   Other
% 33.52/33.72  ;    33.258        Total
% 33.52/33.72  ;    33.260        Real time
% 33.52/33.72  ; 
% 33.55/33.73  ; Term-hash-array has 6,104 terms in all.
% 33.55/33.73  ; Feature-vector-row-index has 8,034 entries (8,076 at peak, 8,158 added, 124 deleted).
% 33.55/33.73  ; Feature-vector-row-index has 136,450 nodes (136,471 at peak, 137,155 added, 705 deleted).
% 33.55/33.73  ;  Retrieved 12,279 possibly forward subsuming rows in 8,599 calls.
% 33.55/33.73  ;  Retrieved 2,523 possibly backward subsumed rows in 8,158 calls.
% 33.55/33.73  ; Path-index has 6,067 entries (6,067 at peak, 6,338 added, 271 deleted).
% 33.55/33.73  ; Path-index has 3,692 nodes (3,692 at peak, 3,721 added, 29 deleted).
% 33.55/33.73  ; Trie-index has 6,067 entries (6,067 at peak, 6,338 added, 271 deleted).
% 33.55/33.73  ; Trie-index has 16,226 nodes (16,226 at peak, 16,782 added, 556 deleted).
% 33.55/33.73  ; Retrieved 6,404 generalization terms in 104,090 calls.
% 33.55/33.73  ; Retrieved 601 instance terms in 601 calls.
% 33.55/33.73  ; Retrieved 9,551,058 unifiable terms in 583,515 calls.
% 33.55/33.73  ; 
% 33.55/33.73  ; The agenda of rows to process has 5 entries:
% 33.55/33.73  ;     3 with value 9               1 with value 11               1 with value 13
% 33.55/33.73  ; The agenda of rows to give has 5971 entries:
% 33.55/33.73  ;    11 with value (4 5)          12 with value (4 47)          76 with value (4 89)
% 33.55/33.73  ;    22 with value (4 6)          42 with value (4 48)          61 with value (4 90)
% 33.55/33.73  ;    52 with value (4 7)          18 with value (4 49)          76 with value (4 91)
% 33.55/33.73  ;   113 with value (4 8)          34 with value (4 50)          78 with value (4 92)
% 33.55/33.73  ;   156 with value (4 9)          25 with value (4 51)          71 with value (4 93)
% 33.55/33.73  ;    37 with value (4 10)         71 with value (4 52)          61 with value (4 94)
% 33.55/33.73  ;    26 with value (4 11)         73 with value (4 53)          67 with value (4 95)
% 33.55/33.73  ;    32 with value (4 12)         84 with value (4 54)          78 with value (4 96)
% 33.55/33.73  ;    25 with value (4 13)         57 with value (4 55)          48 with value (4 97)
% 33.55/33.73  ;    34 with value (4 14)         72 with value (4 56)          39 with value (4 98)
% 33.55/33.73  ;    24 with value (4 15)         32 with value (4 57)          68 with value (4 99)
% 33.55/33.73  ;    39 with value (4 16)         41 with value (4 58)          48 with value (4 100)
% 33.55/33.73  ;    93 with value (4 17)         28 with value (4 59)          43 with value (4 101)
% 33.55/33.73  ;    48 with value (4 18)        109 with value (4 60)          51 with value (4 102)
% 33.55/33.73  ;    38 with value (4 19)         99 with value (4 61)          55 with value (4 103)
% 33.55/33.73  ;    11 with value (4 20)         87 with value (4 62)          45 with value (4 104)
% 33.55/33.73  ;    15 with value (4 21)         54 with value (4 63)          48 with value (4 105)
% 33.55/33.73  ;     7 with value (4 22)         49 with value (4 64)          48 with value (4 106)
% 33.55/33.73  ;    15 with value (4 23)         57 with value (4 65)          35 with value (4 107)
% 33.55/33.73  ;   177 with value (4 24)         62 with value (4 66)          27 with value (4 108)
% 33.55/33.73  ;   104 with value (4 25)         64 with value (4 67)          34 with value (4 109)
% 33.55/33.73  ;    86 with value (4 26)         64 with value (4 68)          27 with value (4 110)
% 33.55/33.73  ;    28 with value (4 27)         74 with value (4 69)          25 with value (4 111)
% 33.55/33.73  ;    35 with value (4 28)         77 with value (4 70)          27 with value (4 112)
% 33.55/33.73  ;    14 with value (4 29)         77 with value (4 71)          17 with value (4 113)
% 33.55/33.73  ;    10 with value (4 30)         89 with value (4 72)          20 with value (4 114)
% 33.55/33.73  ;    13 with value (4 31)         78 with value (4 73)          19 with value (4 115)
% 33.55/33.73  ;    12 with value (4 32)         75 with value (4 74)          14 with value (4 116)
% 33.55/33.73  ;    60 with value (4 33)         77 with value (4 75)          17 with value (4 117)
% 33.55/33.73  ;     1 with value (4 34)         93 with value (4 76)          12 with value (4 118)
% 33.55/33.73  ;    10 with value (4 35)         75 with value (4 77)          12 with value (4 119)
% 33.55/33.73  ;    13 with value (4 36)         71 with value (4 78)          16 with value (4 120)
% 33.55/33.73  ;    21 with value (4 37)        102 with value (4 79)           9 with value (4 121)
% 33.55/33.73  ;    16 with value (4 38)         86 with value (4 80)          13 with value (4 122)
% 33.55/33.73  ;    49 with value (4 39)         79 with value (4 81)           9 with value (4 123)
% 33.55/33.73  ;     7 with value (4 40)         87 with value (4 82)           8 with value (4 124)
% 33.55/33.73  ;    87 with value (4 41)         85 with value (4 83)           9 with value (4 125)
% 33.55/33.73  ;    63 with value (4 42)         86 with value (4 84)           2 with value (4 126)
% 33.55/33.73  ;    45 with value (4 43)         68 with value (4 85)           6 with value (4 127)
% 33.55/33.73  ;    21 with value (4 44)         81 with value (4 86)           2 with value (4 128)
% 33.55/33.73  ;    25 with value (4 45)         68 with value (4 87)           2 with value (4 130)
% 33.55/33.73  ;    15 with value (4 46)         76 with value (4 88)
% 33.55/33.73  Evaluation took:
% 33.55/33.73    33.272 seconds of real time
% 33.55/33.73    32.852512 seconds of user run time
% 33.55/33.73    0.418981 seconds of system run time
% 33.55/33.73    [Run times include 1.026 seconds GC run time.]
% 33.55/33.73    0 calls to %EVAL
% 33.55/33.73    0 page faults and
% 33.55/33.73    1,048,416,280 bytes consed.
% 33.55/33.73  :PROOF-FOUND
% 33.55/33.73  ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-07-07T11:46:02
% 33.55/33.73  :PROOF-FOUND
% 33.55/33.73  * 
%------------------------------------------------------------------------------