TSTP Solution File: NUM576+3 by SNARK---20120808r022

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SNARK---20120808r022
% Problem  : NUM576+3 : TPTP v8.1.0. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run-snark %s %d

% Computer : n026.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 14:11:51 EDT 2022

% Result   : Theorem 53.18s 53.45s
% Output   : Refutation 53.18s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    2
%            Number of leaves      :    7
% Syntax   : Number of clauses     :   10 (   8 unt;   1 nHn;  10 RR)
%            Number of literals    :   17 (   2 equ;   9 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    :    4 (   4 usr;   3 con; 0-1 aty)
%            Number of variables   :    4 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(55,axiom,
    ( ~ aElementOf0(X,szNzAzT0)
    | ~ aElementOf0(Y,szNzAzT0)
    | ~ sdtlseqdt0(X,Y)
    | ~ sdtlseqdt0(Y,X)
    | X = Y ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mLessASymm) ).

cnf(57,axiom,
    ( ~ aElementOf0(X,szNzAzT0)
    | ~ aElementOf0(Y,szNzAzT0)
    | sdtlseqdt0(X,Y)
    | sdtlseqdt0(szszuzczcdt0(Y),X) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mLessTotal) ).

cnf(2599,hypothesis,
    aElementOf0(xi,szNzAzT0),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__3856) ).

cnf(2600,hypothesis,
    aElementOf0(xj,szNzAzT0),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__3856) ).

cnf(2601,negated_conjecture,
    xi != xj,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__) ).

cnf(2602,negated_conjecture,
    ~ sdtlseqdt0(szszuzczcdt0(xj),xi),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__) ).

cnf(2603,negated_conjecture,
    ~ sdtlseqdt0(szszuzczcdt0(xi),xj),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__) ).

cnf(2743,plain,
    sdtlseqdt0(xi,xj),
    inference('UR-RESOLVE',[status(thm)],[57,2599,2600,2602]) ).

cnf(2744,plain,
    sdtlseqdt0(xj,xi),
    inference('UR-RESOLVE',[status(thm)],[57,2600,2599,2603]) ).

cnf(6330,plain,
    $false,
    inference('REWRITE',[status(thm)],[inference('UR-RESOLVE',[status(thm)],[55,2743,2599,2600,2601]),2744]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.10  % Problem  : NUM576+3 : TPTP v8.1.0. Released v4.0.0.
% 0.11/0.11  % Command  : run-snark %s %d
% 0.11/0.30  % Computer : n026.cluster.edu
% 0.11/0.30  % Model    : x86_64 x86_64
% 0.11/0.30  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.30  % Memory   : 8042.1875MB
% 0.11/0.30  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.11/0.30  % CPULimit : 300
% 0.11/0.30  % WCLimit  : 600
% 0.11/0.30  % DateTime : Tue Jul  5 10:33:37 EDT 2022
% 0.11/0.31  % CPUTime  : 
% 0.16/0.40  /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.16/0.41  * 
% 0.16/0.41  * 
% 0.16/0.41  #<PACKAGE "SNARK-USER">
% 0.16/0.41  * 
% 0.16/0.41  SNARK-TPTP-OPTIONS
% 0.16/0.41  * 
% 0.16/0.41  ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.16/0.41   (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.16/0.41   (USE-FACTORING :POS)
% 0.16/0.41   (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.16/0.41   (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.16/0.41   (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.16/0.41   (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.16/0.41   (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.16/0.41   (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.16/0.41   (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.16/0.41   (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.16/0.41   (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.16/0.41   (DECLARE-TPTP-SYMBOLS2))
% 0.16/0.41  * 
% 0.16/0.41  "."
% 0.16/0.41  * 
% 0.16/0.41  ; Begin refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-07-05T10:33:37
% 0.16/0.41  ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n026.cluster.edu at 2022-07-05T10:33:37
% 53.18/53.45  
% 53.18/53.45  
% 53.18/53.45  #||
% 53.18/53.45  % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 53.18/53.45  % SZS output start Refutation
% See solution above
% 53.18/53.45  ||#
% 53.18/53.45  
% 53.18/53.45  ; Summary of computation:
% 53.18/53.45  ;      7710 formulas have been input or derived (from 2633 formulas).
% 53.18/53.45  ;      6330 (82%) were retained.  Of these,
% 53.18/53.45  ;          138 ( 2%) were simplified or subsumed later,
% 53.18/53.45  ;         6192 (98%) are still being kept.
% 53.18/53.45  ; 
% 53.18/53.45  ; Run time in seconds:
% 53.18/53.45  ;     0.026   0%   Read assertion file          (1 call)
% 53.18/53.45  ;     0.115   0%   Assert                       (85 calls)
% 53.18/53.45  ;     0.793   1%   Process new row              (7,590 calls)
% 53.18/53.45  ;    48.643  92%   Resolution                   (5,264 calls)
% 53.18/53.45  ;     0.507   1%   Paramodulation               (2,632 calls)
% 53.18/53.45  ;     0.168   0%   Condensing                   (6,293 calls)
% 53.18/53.45  ;     1.856   4%   Forward subsumption          (6,293 calls)
% 53.18/53.45  ;     0.318   1%   Backward subsumption         (5,742 calls)
% 53.18/53.45  ;     0.028   0%   Clause clause subsumption    (6,218 calls)
% 53.18/53.45  ;     0.403   1%   Forward simplification       (7,590 calls)
% 53.18/53.45  ;     0.015   0%   Backward simplification      (6,330 calls)
% 53.18/53.45  ;     0.010   0%   Ordering                     (6,703 calls)
% 53.18/53.45  ;     0.000   0%   Sortal reasoning             (32 calls)
% 53.18/53.45  ;     0.014   0%   Purity testing               (1 call)
% 53.18/53.45  ;     0.097   0%   Other
% 53.18/53.45  ;    52.993        Total
% 53.18/53.45  ;    53.040        Real time
% 53.18/53.45  ; 
% 53.18/53.46  ; Term-hash-array has 3,663 terms in all.
% 53.18/53.46  ; Feature-vector-row-index has 5,629 entries (5,629 at peak, 5,742 added, 113 deleted).
% 53.18/53.46  ; Feature-vector-row-index has 84,910 nodes (84,910 at peak, 85,503 added, 593 deleted).
% 53.18/53.46  ;  Retrieved 8,743 possibly forward subsuming rows in 6,293 calls.
% 53.18/53.46  ;  Retrieved 892 possibly backward subsumed rows in 5,742 calls.
% 53.18/53.46  ; Path-index has 3,629 entries (3,629 at peak, 3,870 added, 241 deleted).
% 53.18/53.46  ; Path-index has 2,233 nodes (2,233 at peak, 2,260 added, 27 deleted).
% 53.18/53.46  ; Trie-index has 3,629 entries (3,629 at peak, 3,870 added, 241 deleted).
% 53.18/53.46  ; Trie-index has 7,043 nodes (7,043 at peak, 7,453 added, 410 deleted).
% 53.18/53.46  ; Retrieved 5,416 generalization terms in 69,736 calls.
% 53.18/53.46  ; Retrieved 587 instance terms in 587 calls.
% 53.18/53.46  ; Retrieved 10,755,526 unifiable terms in 700,186 calls.
% 53.18/53.46  ; 
% 53.18/53.46  ; The agenda of rows to process has 7 entries:
% 53.18/53.46  ;     2 with value 6               4 with value 9                1 with value 11
% 53.18/53.46  ; The agenda of rows to give has 3559 entries:
% 53.18/53.46  ;     2 with value (4 5)           7 with value (4 40)          53 with value (4 75)
% 53.18/53.46  ;    22 with value (4 6)          79 with value (4 41)          62 with value (4 76)
% 53.18/53.46  ;    64 with value (4 7)          64 with value (4 42)          50 with value (4 77)
% 53.18/53.46  ;   117 with value (4 8)          38 with value (4 43)          51 with value (4 78)
% 53.18/53.46  ;   189 with value (4 9)          15 with value (4 44)          66 with value (4 79)
% 53.18/53.46  ;    41 with value (4 10)         18 with value (4 45)          46 with value (4 80)
% 53.18/53.46  ;    33 with value (4 11)         15 with value (4 46)          48 with value (4 81)
% 53.18/53.46  ;    29 with value (4 12)         11 with value (4 47)          53 with value (4 82)
% 53.18/53.46  ;    32 with value (4 13)          9 with value (4 48)          50 with value (4 83)
% 53.18/53.46  ;    34 with value (4 14)         14 with value (4 49)          48 with value (4 84)
% 53.18/53.46  ;    17 with value (4 15)         17 with value (4 50)          30 with value (4 85)
% 53.18/53.46  ;    22 with value (4 16)         22 with value (4 51)          41 with value (4 86)
% 53.18/53.46  ;    67 with value (4 17)         21 with value (4 52)          37 with value (4 87)
% 53.18/53.46  ;    37 with value (4 18)         29 with value (4 53)          28 with value (4 88)
% 53.18/53.46  ;    14 with value (4 19)         26 with value (4 54)          33 with value (4 89)
% 53.18/53.46  ;    13 with value (4 20)         51 with value (4 55)          18 with value (4 90)
% 53.18/53.46  ;    13 with value (4 21)         45 with value (4 56)          30 with value (4 91)
% 53.18/53.46  ;     4 with value (4 22)         28 with value (4 57)          33 with value (4 92)
% 53.18/53.46  ;    13 with value (4 23)         34 with value (4 58)          24 with value (4 93)
% 53.18/53.46  ;   120 with value (4 24)         21 with value (4 59)          19 with value (4 94)
% 53.18/53.46  ;    80 with value (4 25)         47 with value (4 60)          26 with value (4 95)
% 53.18/53.46  ;    73 with value (4 26)         43 with value (4 61)          36 with value (4 96)
% 53.18/53.46  ;    31 with value (4 27)         49 with value (4 62)          11 with value (4 97)
% 53.18/53.46  ;    31 with value (4 28)         40 with value (4 63)          13 with value (4 98)
% 53.18/53.46  ;    18 with value (4 29)         29 with value (4 64)          29 with value (4 99)
% 53.18/53.46  ;    16 with value (4 30)         45 with value (4 65)          16 with value (4 100)
% 53.18/53.46  ;    23 with value (4 31)         43 with value (4 66)           5 with value (4 101)
% 53.18/53.46  ;    12 with value (4 32)         55 with value (4 67)          16 with value (4 102)
% 53.18/53.46  ;    45 with value (4 33)         45 with value (4 68)          18 with value (4 103)
% 53.18/53.46  ;     8 with value (4 34)         36 with value (4 69)           3 with value (4 104)
% 53.18/53.46  ;     6 with value (4 35)         45 with value (4 70)           5 with value (4 105)
% 53.18/53.46  ;    14 with value (4 36)         57 with value (4 71)          10 with value (4 106)
% 53.18/53.46  ;    12 with value (4 37)         62 with value (4 72)           4 with value (4 107)
% 53.18/53.46  ;     8 with value (4 38)         48 with value (4 73)           2 with value (4 109)
% 53.18/53.46  ;    30 with value (4 39)         45 with value (4 74)           2 with value (4 110)
% 53.18/53.46  Evaluation took:
% 53.18/53.46    53.049 seconds of real time
% 53.18/53.46    52.739853 seconds of user run time
% 53.18/53.46    0.263733 seconds of system run time
% 53.18/53.46    [Run times include 0.616 seconds GC run time.]
% 53.18/53.46    0 calls to %EVAL
% 53.18/53.46    0 page faults and
% 53.18/53.46    716,110,744 bytes consed.
% 53.18/53.46  :PROOF-FOUND
% 53.18/53.46  ; End refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-07-05T10:34:30
% 53.18/53.46  :PROOF-FOUND
% 53.18/53.46  * 
%------------------------------------------------------------------------------