TSTP Solution File: HWV012-2 by SNARK---20120808r022

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SNARK---20120808r022
% Problem  : HWV012-2 : TPTP v8.1.0. Released v2.5.0.
% 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 : Sat Jul 16 19:10:36 EDT 2022

% Result   : Unsatisfiable 1.65s 1.81s
% Output   : Refutation 1.65s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    3
%            Number of leaves      :    7
% Syntax   : Number of clauses     :   11 (   8 unt;   1 nHn;  10 RR)
%            Number of literals    :   19 (   1 equ;  10 neg)
%            Maximal clause size   :    5 (   1 avg)
%            Maximal term depth    :    3 (   2 avg)
%            Number of predicates  :    4 (   2 usr;   1 prp; 0-2 aty)
%            Number of functors    :   10 (  10 usr;   3 con; 0-2 aty)
%            Number of variables   :    4 (   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_13,axiom,
    ( ~ p__pred_(fwork_DOTfifo_DOTrtl_DOTwr__error_(f_ADD_(X,n1)))
    | ~ p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(X)) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/HWV004-0.ax',axiom_13) ).

cnf(axiom_22,axiom,
    ( ~ p__pred_(fwork_DOTfifo_DOTrtl_DOTwr__error_(f_ADD_(X,n1)))
    | p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTfifo__length_,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_22) ).

cnf(axiom_41,axiom,
    ( ~ p__pred_(fwork_DOTfifo_DOTrtl_DOTwr__error_(f_ADD_(X,n1)))
    | ~ 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_41) ).

cnf(quest_1,negated_conjecture,
    ~ p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTfifo__length_,fwork_DOTfifo_DOTrtl_DOTlevel_(t_206)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',quest_1) ).

cnf(133,plain,
    ~ p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTfifo__length_,fwork_DOTfifo_DOTrtl_DOTint__level_(t_206)),
    inference('REWRITE',[status(thm)],[quest_1,axiom_5,theory(equality)]) ).

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

cnf(quest_3,negated_conjecture,
    p__pred_(fwork_DOTfifo_DOTrtl_DOTwr__error_(f_ADD_(t_206,n1))),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',quest_3) ).

cnf(735,plain,
    ~ p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(t_206)),
    inference('UR-RESOLVE',[status(thm)],[axiom_13,quest_3]) ).

cnf(1092,plain,
    p__pred_(fwork_DOTfifo_DOTrtl_DOTrd_(t_206)),
    inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[axiom_22,quest_3,quest_2]),735,133]) ).

cnf(1647,plain,
    $false,
    inference('REWRITE',[status(thm)],[inference('UR-RESOLVE',[status(thm)],[axiom_41,735,quest_3,quest_2]),1092]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : HWV012-2 : TPTP v8.1.0. Released v2.5.0.
% 0.07/0.13  % Command  : run-snark %s %d
% 0.13/0.34  % Computer : n026.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34  % CPULimit : 300
% 0.13/0.34  % WCLimit  : 600
% 0.13/0.34  % DateTime : Fri Jun 17 06:55:54 EDT 2022
% 0.13/0.34  % 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)
% 0.19/0.47   (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.19/0.47   (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.19/0.47   (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.19/0.47   (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.19/0.47   (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.19/0.47   (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.19/0.47   (DECLARE-TPTP-SYMBOLS2))
% 0.19/0.47  * 
% 0.19/0.47  "."
% 0.19/0.47  * 
% 0.19/0.47  ; Begin refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-06-17T06:55:54
% 0.19/0.47  ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n026.cluster.edu at 2022-06-17T06:55:54
% 0.19/0.51  
% 1.65/1.81  ; Recognized left identity assertion (= (|f_ADD_| |n0| ?X) ?X).
% 1.65/1.81  
% 1.65/1.81  #||
% 1.65/1.81  % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 1.65/1.81  % SZS output start Refutation
% See solution above
% 1.65/1.81  ||#
% 1.65/1.81  
% 1.65/1.81  ; Summary of computation:
% 1.65/1.81  ;      4041 formulas have been input or derived (from 145 formulas).
% 1.65/1.81  ;      1647 (41%) were retained.  Of these,
% 1.65/1.81  ;           11 ( 1%) were simplified or subsumed later,
% 1.65/1.81  ;         1636 (99%) are still being kept.
% 1.65/1.81  ; 
% 1.65/1.81  ; Run time in seconds:
% 1.65/1.81  ;     0.032   2%   Read assertion file          (1 call)
% 1.65/1.81  ;     0.005   0%   Assert                       (136 calls)
% 1.65/1.81  ;     0.165  12%   Process new row              (3,704 calls)
% 1.65/1.81  ;     0.199  15%   Resolution                   (288 calls)
% 1.65/1.81  ;     0.003   0%   Paramodulation               (144 calls)
% 1.65/1.81  ;     0.000   0%   Factoring                    (17 calls)
% 1.65/1.81  ;     0.057   4%   Condensing                   (2,437 calls)
% 1.65/1.81  ;     0.570  42%   Forward subsumption          (2,437 calls)
% 1.65/1.81  ;     0.062   5%   Backward subsumption         (1,306 calls)
% 1.65/1.81  ;     0.058   4%   Clause clause subsumption    (6,819 calls)
% 1.65/1.81  ;     0.139  10%   Forward simplification       (3,564 calls)
% 1.65/1.81  ;     0.006   0%   Backward simplification      (1,646 calls)
% 1.65/1.81  ;     0.015   1%   Ordering                     (11,471 calls)
% 1.65/1.81  ;     0.000   0%   Sortal reasoning             (32 calls)
% 1.65/1.81  ;     0.000   0%   Purity testing               (1 call)
% 1.65/1.81  ;     0.036   3%   Other
% 1.65/1.81  ;     1.347        Total
% 1.65/1.81  ;     1.348        Real time
% 1.65/1.81  ; 
% 1.65/1.81  ; Term-hash-array has 2,742 terms in all.
% 1.65/1.81  ; Feature-vector-row-index has 1,297 entries (1,297 at peak, 1,306 added, 9 deleted).
% 1.65/1.81  ; Feature-vector-row-index has 6,447 nodes (6,447 at peak, 6,529 added, 82 deleted).
% 1.65/1.81  ;  Retrieved 22,151 possibly forward subsuming rows in 2,437 calls.
% 1.65/1.81  ;  Retrieved 1,366 possibly backward subsumed rows in 1,306 calls.
% 1.65/1.81  ; Path-index has 2,745 entries (2,745 at peak, 2,750 added, 5 deleted).
% 1.65/1.81  ; Path-index has 3,844 nodes (3,844 at peak, 3,852 added, 8 deleted).
% 1.65/1.81  ; Trie-index has 2,745 entries (2,745 at peak, 2,750 added, 5 deleted).
% 1.65/1.81  ; Trie-index has 5,819 nodes (5,819 at peak, 5,835 added, 16 deleted).
% 1.65/1.81  ; Retrieved 11,683 generalization terms in 34,808 calls.
% 1.65/1.81  ; Retrieved 443 instance terms in 380 calls.
% 1.65/1.81  ; Retrieved 112,728 unifiable terms in 3,543 calls.
% 1.65/1.81  ; 
% 1.65/1.81  ; The agenda of rows to process has 63 entries:
% 1.65/1.81  ;     1 with value 7              20 with value 10               6 with value 14
% 1.65/1.81  ;     1 with value 9              35 with value 11
% 1.65/1.81  ; The agenda of rows to give has 1493 entries:
% 1.65/1.81  ;     3 with value (4 6)          14 with value (4 28)          16 with value (4 55)
% 1.65/1.81  ;    33 with value (4 7)          43 with value (4 29)           6 with value (4 57)
% 1.65/1.81  ;    10 with value (4 8)           6 with value (4 30)          20 with value (4 59)
% 1.65/1.81  ;    35 with value (4 9)          10 with value (4 31)          16 with value (4 61)
% 1.65/1.81  ;    55 with value (4 10)         23 with value (4 32)           4 with value (4 62)
% 1.65/1.81  ;    45 with value (4 11)         12 with value (4 33)           4 with value (4 63)
% 1.65/1.81  ;    34 with value (4 12)         37 with value (4 34)           8 with value (4 65)
% 1.65/1.81  ;    70 with value (4 13)          1 with value (4 35)           8 with value (4 66)
% 1.65/1.81  ;    57 with value (4 14)          1 with value (4 36)           8 with value (4 70)
% 1.65/1.81  ;    48 with value (4 15)         19 with value (4 37)          16 with value (4 72)
% 1.65/1.81  ;    58 with value (4 16)          2 with value (4 38)          12 with value (4 76)
% 1.65/1.81  ;    95 with value (4 17)          6 with value (4 39)           8 with value (4 80)
% 1.65/1.81  ;   119 with value (4 18)          5 with value (4 40)          40 with value (4 82)
% 1.65/1.81  ;    11 with value (4 19)          8 with value (4 42)           4 with value (4 83)
% 1.65/1.81  ;    47 with value (4 20)          9 with value (4 43)          24 with value (4 86)
% 1.65/1.81  ;   100 with value (4 21)          2 with value (4 44)          48 with value (4 88)
% 1.65/1.81  ;    16 with value (4 22)         11 with value (4 45)           8 with value (4 93)
% 1.65/1.81  ;    12 with value (4 23)          7 with value (4 46)           8 with value (4 94)
% 1.65/1.81  ;    49 with value (4 24)          8 with value (4 49)           8 with value (4 98)
% 1.65/1.81  ;    20 with value (4 25)          3 with value (4 50)          24 with value (4 99)
% 1.65/1.81  ;     9 with value (4 26)         10 with value (4 51)          16 with value (4 100)
% 1.65/1.81  ;     8 with value (4 27)          8 with value (4 53)           8 with value (4 111)
% 1.65/1.81  Evaluation took:
% 1.65/1.81    1.349 seconds of real time
% 1.65/1.81    1.267982 seconds of user run time
% 1.65/1.81    0.081062 seconds of system run time
% 1.65/1.81    [Run times include 0.078 seconds GC run time.]
% 1.65/1.81    0 calls to %EVAL
% 1.65/1.81    0 page faults and
% 1.65/1.81    143,985,904 bytes consed.
% 1.65/1.81  :PROOF-FOUND
% 1.65/1.81  ; End refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-06-17T06:55:55
% 1.65/1.81  :PROOF-FOUND
% 1.65/1.81  * 
%------------------------------------------------------------------------------