TSTP Solution File: HWV027-2 by SNARK---20120808r022

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SNARK---20120808r022
% Problem  : HWV027-2 : TPTP v8.1.0. Released v2.5.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run-snark %s %d

% Computer : n018.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 : Sat Jul 16 19:10:46 EDT 2022

% Result   : Unsatisfiable 0.60s 0.79s
% Output   : Refutation 0.60s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    2
%            Number of leaves      :    6
% Syntax   : Number of clauses     :    8 (   7 unt;   1 nHn;   6 RR)
%            Number of literals    :   11 (   4 equ;   5 neg)
%            Maximal clause size   :    4 (   1 avg)
%            Maximal term depth    :    3 (   2 avg)
%            Number of predicates  :    3 (   1 usr;   1 prp; 0-2 aty)
%            Number of functors    :    8 (   8 usr;   2 con; 0-2 aty)
%            Number of variables   :    2 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(axiom_5,axiom,
    fwork_DOTfifo_DOTrtl_DOTlevel_(X) = fwork_DOTfifo_DOTrtl_DOTint__level_(X),
    file('/export/starexec/sandbox2/benchmark/Axioms/HWV004-0.ax',axiom_5) ).

cnf(axiom_51,axiom,
    ( fwork_DOTfifo_DOTrtl_DOTint__level_(f_ADD_(X,n1)) = fwork_DOTfifo_DOTrtl_DOTint__level_(X)
    | p__pred_(fwork_DOTfifo_DOTrtl_DOTrd_(X))
    | p__pred_(fwork_DOTfifo_DOTrtl_DOTwr_(X))
    | p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(X)) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/HWV004-0.ax',axiom_51) ).

cnf(quest_1,negated_conjecture,
    ~ p__pred_(fwork_DOTfifo_DOTrtl_DOTwr_(t_206)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',quest_1) ).

cnf(quest_2,negated_conjecture,
    ~ p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(t_206)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',quest_2) ).

cnf(quest_3,negated_conjecture,
    ~ p__pred_(fwork_DOTfifo_DOTrtl_DOTrd_(t_206)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',quest_3) ).

cnf(quest_4,negated_conjecture,
    fwork_DOTfifo_DOTrtl_DOTlevel_(t_206) != fwork_DOTfifo_DOTrtl_DOTlevel_(f_ADD_(t_206,n1)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',quest_4) ).

cnf(136,plain,
    fwork_DOTfifo_DOTrtl_DOTint__level_(t_206) != fwork_DOTfifo_DOTrtl_DOTint__level_(f_ADD_(t_206,n1)),
    inference('REWRITE',[status(thm)],[quest_4,axiom_5,theory(equality)]) ).

cnf(906,plain,
    $false,
    inference('UR-RESOLVE',[status(thm)],[axiom_51,136,quest_3,quest_1,quest_2]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12  % Problem  : HWV027-2 : TPTP v8.1.0. Released v2.5.0.
% 0.06/0.13  % Command  : run-snark %s %d
% 0.12/0.33  % Computer : n018.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 Jun 16 23:37:31 EDT 2022
% 0.12/0.34  % CPUTime  : 
% 0.19/0.45  /export/starexec/sandbox2/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  * 
% 0.19/0.46  ; Begin refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-06-16T23:37:31
% 0.19/0.46  ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n018.cluster.edu at 2022-06-16T23:37:31
% 0.19/0.51  
% 0.60/0.79  ; Recognized left identity assertion (= (|f_ADD_| |n0| ?X) ?X).
% 0.60/0.79  
% 0.60/0.79  #||
% 0.60/0.79  % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.60/0.79  % SZS output start Refutation
% See solution above
% 0.60/0.79  ||#
% 0.60/0.79  
% 0.60/0.79  ; Summary of computation:
% 0.60/0.79  ;      1681 formulas have been input or derived (from 101 formulas).
% 0.60/0.79  ;       906 (54%) were retained.  Of these,
% 0.60/0.79  ;            2 ( 0%) were simplified or subsumed later,
% 0.60/0.79  ;          904 (100%) are still being kept.
% 0.60/0.79  ; 
% 0.60/0.79  ; Run time in seconds:
% 0.60/0.79  ;     0.033  10%   Read assertion file          (1 call)
% 0.60/0.79  ;     0.004   1%   Assert                       (137 calls)
% 0.60/0.79  ;     0.073  23%   Process new row              (1,411 calls)
% 0.60/0.79  ;     0.054  17%   Resolution                   (200 calls)
% 0.60/0.79  ;     0.003   1%   Paramodulation               (100 calls)
% 0.60/0.79  ;     0.000   0%   Factoring                    (16 calls)
% 0.60/0.79  ;     0.038  12%   Condensing                   (955 calls)
% 0.60/0.79  ;     0.020   6%   Forward subsumption          (955 calls)
% 0.60/0.79  ;     0.015   5%   Backward subsumption         (625 calls)
% 0.60/0.79  ;     0.014   4%   Clause clause subsumption    (2,122 calls)
% 0.60/0.79  ;     0.022   7%   Forward simplification       (1,411 calls)
% 0.60/0.79  ;     0.002   1%   Backward simplification      (905 calls)
% 0.60/0.79  ;     0.009   3%   Ordering                     (4,255 calls)
% 0.60/0.79  ;     0.001   0%   Sortal reasoning             (32 calls)
% 0.60/0.79  ;     0.001   0%   Purity testing               (1 call)
% 0.60/0.79  ;     0.028   9%   Other
% 0.60/0.79  ;     0.317        Total
% 0.60/0.79  ;     0.329        Real time
% 0.60/0.79  ; 
% 0.60/0.79  ; Term-hash-array has 1,936 terms in all.
% 0.60/0.79  ; Feature-vector-row-index has 625 entries (625 at peak, 625 added, 0 deleted).
% 0.60/0.79  ; Feature-vector-row-index has 2,110 nodes (2,110 at peak, 2,110 added, 0 deleted).
% 0.60/0.79  ;  Retrieved 1,563 possibly forward subsuming rows in 955 calls.
% 0.60/0.79  ;  Retrieved 804 possibly backward subsumed rows in 625 calls.
% 0.60/0.79  ; Path-index has 1,942 entries (1,942 at peak, 1,944 added, 2 deleted).
% 0.60/0.79  ; Path-index has 3,451 nodes (3,451 at peak, 3,455 added, 4 deleted).
% 0.60/0.79  ; Trie-index has 1,942 entries (1,942 at peak, 1,944 added, 2 deleted).
% 0.60/0.79  ; Trie-index has 4,431 nodes (4,431 at peak, 4,440 added, 9 deleted).
% 0.60/0.79  ; Retrieved 695 generalization terms in 5,864 calls.
% 0.60/0.79  ; Retrieved 381 instance terms in 320 calls.
% 0.60/0.79  ; Retrieved 47,035 unifiable terms in 1,432 calls.
% 0.60/0.79  ; 
% 0.60/0.79  ; The agenda of rows to process has 117 entries:
% 0.60/0.79  ;     3 with value 6              10 with value 30              18 with value 37
% 0.60/0.79  ;     1 with value 11              1 with value 31               3 with value 41
% 0.60/0.79  ;     1 with value 21              4 with value 32               6 with value 45
% 0.60/0.79  ;     1 with value 24             12 with value 33               3 with value 46
% 0.60/0.79  ;     1 with value 26             30 with value 34               6 with value 50
% 0.60/0.79  ;    17 with value 29
% 0.60/0.79  ; The agenda of input rows to give has 38 entries:
% 0.60/0.79  ;     1 with value 25              3 with value 33               1 with value 52
% 0.60/0.79  ;     1 with value 27              3 with value 36               3 with value 55
% 0.60/0.79  ;     4 with value 28              3 with value 41               1 with value 63
% 0.60/0.79  ;     6 with value 29              2 with value 47               1 with value 68
% 0.60/0.79  ;     1 with value 30              1 with value 49               1 with value 74
% 0.60/0.79  ;     6 with value 31
% 0.60/0.79  ; The agenda of rows to give has 765 entries:
% 0.60/0.79  ;     4 with value (4 5)          53 with value (4 16)           1 with value (4 26)
% 0.60/0.79  ;     2 with value (4 6)          47 with value (4 17)           5 with value (4 27)
% 0.60/0.79  ;    31 with value (4 7)         101 with value (4 18)           7 with value (4 28)
% 0.60/0.79  ;     6 with value (4 8)          11 with value (4 19)          31 with value (4 29)
% 0.60/0.79  ;    67 with value (4 9)          29 with value (4 20)           4 with value (4 31)
% 0.60/0.79  ;    55 with value (4 10)         99 with value (4 21)          18 with value (4 32)
% 0.60/0.79  ;    12 with value (4 11)         16 with value (4 22)           7 with value (4 34)
% 0.60/0.79  ;    11 with value (4 12)         12 with value (4 23)           1 with value (4 35)
% 0.60/0.79  ;    54 with value (4 13)         49 with value (4 24)           1 with value (4 36)
% 0.60/0.79  ;     4 with value (4 14)         13 with value (4 25)           3 with value (4 40)
% 0.60/0.79  ;    11 with value (4 15)
% 0.60/0.79  Evaluation took:
% 0.60/0.79    0.33 seconds of real time
% 0.60/0.79    0.294582 seconds of user run time
% 0.60/0.79    0.024157 seconds of system run time
% 0.60/0.79    [Run times include 0.009 seconds GC run time.]
% 0.60/0.79    0 calls to %EVAL
% 0.60/0.79    0 page faults and
% 0.60/0.79    22,228,032 bytes consed.
% 0.60/0.79  :PROOF-FOUND
% 0.60/0.79  ; End refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-06-16T23:37:32
% 0.60/0.79  :PROOF-FOUND
% 0.60/0.79  * 
%------------------------------------------------------------------------------