TSTP Solution File: HWV013-2 by SNARK---20120808r022

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SNARK---20120808r022
% Problem  : HWV013-2 : TPTP v8.1.0. Released v2.5.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run-snark %s %d

% Computer : n023.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 0.71s 0.90s
% Output   : Refutation 0.71s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    2
%            Number of leaves      :    7
% Syntax   : Number of clauses     :   10 (   9 unt;   1 nHn;   9 RR)
%            Number of literals    :   14 (   4 equ;   7 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    :    9 (   9 usr;   3 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/sandbox/benchmark/Axioms/HWV004-0.ax',axiom_5) ).

cnf(axiom_18,axiom,
    ( fwork_DOTfifo_DOTrtl_DOTint__level_(f_ADD_(X,n1)) = f_ADD_(fwork_DOTfifo_DOTrtl_DOTint__level_(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/sandbox/benchmark/Axioms/HWV004-0.ax',axiom_18) ).

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

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

cnf(quest_3,negated_conjecture,
    p__pred_(fwork_DOTfifo_DOTrtl_DOTwr_(t_206)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',quest_3) ).

cnf(quest_4,negated_conjecture,
    ~ p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTfifo__length_,fwork_DOTfifo_DOTrtl_DOTlevel_(t_206)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',quest_4) ).

cnf(136,plain,
    ~ p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTfifo__length_,fwork_DOTfifo_DOTrtl_DOTint__level_(t_206)),
    inference('REWRITE',[status(thm)],[quest_4,axiom_5,theory(equality)]) ).

cnf(quest_5,negated_conjecture,
    fwork_DOTfifo_DOTrtl_DOTlevel_(f_ADD_(t_206,n1)) != f_ADD_(fwork_DOTfifo_DOTrtl_DOTlevel_(t_206),n1),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',quest_5) ).

cnf(138,plain,
    fwork_DOTfifo_DOTrtl_DOTint__level_(f_ADD_(t_206,n1)) != f_ADD_(fwork_DOTfifo_DOTrtl_DOTint__level_(t_206),n1),
    inference('REWRITE',[status(thm)],[quest_5,axiom_5,theory(equality)]) ).

cnf(1090,plain,
    $false,
    inference('UR-RESOLVE',[status(thm)],[axiom_18,138,136,quest_2,quest_3,quest_1]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem  : HWV013-2 : TPTP v8.1.0. Released v2.5.0.
% 0.03/0.13  % Command  : run-snark %s %d
% 0.13/0.34  % Computer : n023.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 : Thu Jun 16 20:35:34 EDT 2022
% 0.13/0.34  % CPUTime  : 
% 0.20/0.47  /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.20/0.48  * 
% 0.20/0.48  * 
% 0.20/0.49  #<PACKAGE "SNARK-USER">
% 0.20/0.49  * 
% 0.20/0.49  SNARK-TPTP-OPTIONS
% 0.20/0.49  * 
% 0.20/0.49  ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.20/0.49   (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.20/0.49   (USE-FACTORING :POS)
% 0.20/0.49   (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.20/0.49   (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.20/0.49   (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.20/0.49   (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.20/0.49   (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.20/0.49   (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.20/0.49   (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.20/0.49   (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.20/0.49   (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.20/0.49   (DECLARE-TPTP-SYMBOLS2))
% 0.20/0.49  * 
% 0.20/0.49  "."
% 0.20/0.49  * 
% 0.20/0.49  ; Begin refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-16T20:35:35
% 0.20/0.49  ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n023.cluster.edu at 2022-06-16T20:35:35
% 0.20/0.53  
% 0.71/0.90  ; Recognized left identity assertion (= (|f_ADD_| |n0| ?X) ?X).
% 0.71/0.90  
% 0.71/0.90  #||
% 0.71/0.90  % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.71/0.90  % SZS output start Refutation
% See solution above
% 0.71/0.90  ||#
% 0.71/0.90  
% 0.71/0.90  ; Summary of computation:
% 0.71/0.90  ;      2035 formulas have been input or derived (from 122 formulas).
% 0.71/0.90  ;      1090 (54%) were retained.  Of these,
% 0.71/0.90  ;           11 ( 1%) were simplified or subsumed later,
% 0.71/0.90  ;         1079 (99%) are still being kept.
% 0.71/0.90  ; 
% 0.71/0.90  ; Run time in seconds excluding printing time:
% 0.71/0.90  ;     0.033   8%   Read assertion file          (1 call)
% 0.71/0.90  ;     0.004   1%   Assert                       (138 calls)
% 0.71/0.90  ;     0.083  20%   Process new row              (1,811 calls)
% 0.71/0.90  ;     0.085  21%   Resolution                   (242 calls)
% 0.71/0.90  ;     0.005   1%   Paramodulation               (121 calls)
% 0.71/0.90  ;     0.000   0%   Factoring                    (17 calls)
% 0.71/0.90  ;     0.021   5%   Condensing                   (1,187 calls)
% 0.71/0.90  ;     0.050  12%   Forward subsumption          (1,187 calls)
% 0.71/0.90  ;     0.020   5%   Backward subsumption         (807 calls)
% 0.71/0.90  ;     0.037   9%   Clause clause subsumption    (2,597 calls)
% 0.71/0.90  ;     0.029   7%   Forward simplification       (1,679 calls)
% 0.71/0.90  ;     0.001   0%   Backward simplification      (1,088 calls)
% 0.71/0.90  ;     0.013   3%   Ordering                     (5,489 calls)
% 0.71/0.90  ;     0.000   0%   Sortal reasoning             (32 calls)
% 0.71/0.90  ;     0.000   0%   Purity testing               (1 call)
% 0.71/0.90  ;     0.030   7%   Other
% 0.71/0.90  ;     0.411        Total
% 0.71/0.90  ;     0.413        Real time
% 0.71/0.90  ; 
% 0.71/0.90  ; Term-hash-array has 2,113 terms in all.
% 0.71/0.90  ; Feature-vector-row-index has 799 entries (799 at peak, 807 added, 8 deleted).
% 0.71/0.90  ; Feature-vector-row-index has 2,875 nodes (2,890 at peak, 2,944 added, 69 deleted).
% 0.71/0.90  ;  Retrieved 1,934 possibly forward subsuming rows in 1,187 calls.
% 0.71/0.90  ;  Retrieved 949 possibly backward subsumed rows in 807 calls.
% 0.71/0.90  ; Path-index has 2,119 entries (2,119 at peak, 2,121 added, 2 deleted).
% 0.71/0.90  ; Path-index has 3,594 nodes (3,594 at peak, 3,598 added, 4 deleted).
% 0.71/0.90  ; Trie-index has 2,119 entries (2,119 at peak, 2,121 added, 2 deleted).
% 0.71/0.90  ; Trie-index has 4,692 nodes (4,692 at peak, 4,701 added, 9 deleted).
% 0.71/0.90  ; Retrieved 832 generalization terms in 7,112 calls.
% 0.71/0.90  ; Retrieved 384 instance terms in 321 calls.
% 0.71/0.90  ; Retrieved 60,314 unifiable terms in 1,729 calls.
% 0.71/0.90  ; 
% 0.71/0.90  ; The agenda of rows to process has 8 entries:
% 0.71/0.90  ;     3 with value 6               1 with value 13               2 with value 39
% 0.71/0.90  ;     1 with value 7               1 with value 29
% 0.71/0.90  ; The agenda of input rows to give has 18 entries:
% 0.71/0.90  ;     2 with value 33              1 with value 49               1 with value 63
% 0.71/0.90  ;     3 with value 36              1 with value 52               1 with value 68
% 0.71/0.90  ;     3 with value 41              3 with value 55               1 with value 74
% 0.71/0.90  ;     2 with value 47
% 0.71/0.90  ; The agenda of rows to give has 941 entries:
% 0.71/0.90  ;     4 with value (4 5)          11 with value (4 19)          23 with value (4 32)
% 0.71/0.90  ;     2 with value (4 6)          29 with value (4 20)           6 with value (4 33)
% 0.71/0.90  ;    33 with value (4 7)         100 with value (4 21)          37 with value (4 34)
% 0.71/0.90  ;     6 with value (4 8)          16 with value (4 22)           1 with value (4 35)
% 0.71/0.90  ;    72 with value (4 9)          12 with value (4 23)           1 with value (4 36)
% 0.71/0.90  ;    47 with value (4 10)         49 with value (4 24)          19 with value (4 37)
% 0.71/0.90  ;    12 with value (4 11)         20 with value (4 25)           2 with value (4 38)
% 0.71/0.90  ;    14 with value (4 12)          3 with value (4 26)           3 with value (4 39)
% 0.71/0.90  ;    58 with value (4 13)          8 with value (4 27)           3 with value (4 40)
% 0.71/0.90  ;    34 with value (4 14)          7 with value (4 28)           6 with value (4 42)
% 0.71/0.90  ;    13 with value (4 15)         43 with value (4 29)           9 with value (4 43)
% 0.71/0.90  ;    52 with value (4 16)          6 with value (4 30)           6 with value (4 45)
% 0.71/0.90  ;    65 with value (4 17)          4 with value (4 31)           3 with value (4 50)
% 0.71/0.90  ;   102 with value (4 18)
% 0.71/0.90  Evaluation took:
% 0.71/0.90    0.413 seconds of real time
% 0.71/0.90    0.38109 seconds of user run time
% 0.71/0.90    0.031782 seconds of system run time
% 0.71/0.90    [Run times include 0.022 seconds GC run time.]
% 0.71/0.90    0 calls to %EVAL
% 0.71/0.90    0 page faults and
% 0.71/0.90    27,744,920 bytes consed.
% 0.71/0.90  :PROOF-FOUND
% 0.71/0.90  ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-16T20:35:35
% 0.71/0.90  :PROOF-FOUND
% 0.71/0.90  * 
%------------------------------------------------------------------------------