TSTP Solution File: HWV021-2 by SNARK---20120808r022

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SNARK---20120808r022
% Problem  : HWV021-2 : 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 19:10:42 EDT 2022

% Result   : Unsatisfiable 2.88s 3.09s
% Output   : Refutation 2.88s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    4
%            Number of leaves      :    9
% Syntax   : Number of clauses     :   14 (   9 unt;   4 nHn;  14 RR)
%            Number of literals    :   26 (   3 equ;  12 neg)
%            Maximal clause size   :    5 (   1 avg)
%            Maximal term depth    :    3 (   1 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   :    6 (   1 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(axiom_8,axiom,
    ( p__pred_(fwork_DOTfifo_DOTrtl_DOTempty_(X))
    | fwork_DOTfifo_DOTrtl_DOTint__level_(X) != n0 ),
    file('/export/starexec/sandbox/benchmark/Axioms/HWV004-0.ax',axiom_8) ).

cnf(axiom_34,axiom,
    ( ~ p__pred_(fwork_DOTfifo_DOTrtl_DOTrd__error_(f_ADD_(X,n1)))
    | p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTint__level_(X),n0)
    | ~ 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_34) ).

cnf(axiom_46,axiom,
    ( ~ p__pred_(fwork_DOTfifo_DOTrtl_DOTrd__error_(f_ADD_(X,n1)))
    | p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTint__level_(X),n0)
    | ~ 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_46) ).

cnf(axiom_60,axiom,
    ~ p_LES_EQU_(f_ADD_(X,n1),n0),
    file('/export/starexec/sandbox/benchmark/Axioms/HWV004-0.ax',axiom_60) ).

cnf(axiom_68,axiom,
    ( X = Y
    | ~ p_LES_EQU_(Y,X)
    | p_LES_EQU_(f_ADD_(Y,n1),X) ),
    file('/export/starexec/sandbox/benchmark/Axioms/HWV004-0.ax',axiom_68) ).

cnf(quest_1,negated_conjecture,
    p__pred_(fwork_DOTfifo_DOTrtl_DOTrd__error_(f_ADD_(t_206,n1))),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',quest_1) ).

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

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

cnf(quest_4,negated_conjecture,
    ~ p__pred_(fwork_DOTfifo_DOTrtl_DOTempty_(t_206)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',quest_4) ).

cnf(195,plain,
    fwork_DOTfifo_DOTrtl_DOTint__level_(t_206) != n0,
    inference('UR-RESOLVE',[status(thm)],[axiom_8,quest_4]) ).

cnf(1187,plain,
    ( p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTint__level_(t_206),n0)
    | p__pred_(fwork_DOTfifo_DOTrtl_DOTwr_(t_206)) ),
    inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[axiom_46,quest_1,quest_3]),quest_2]) ).

cnf(4580,plain,
    ~ p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTint__level_(t_206),n0),
    inference('UR-RESOLVE',[status(thm)],[axiom_68,195,axiom_60]) ).

cnf(4583,plain,
    p__pred_(fwork_DOTfifo_DOTrtl_DOTwr_(t_206)),
    inference('REWRITE',[status(thm)],[1187,4580]) ).

cnf(4588,plain,
    $false,
    inference('REWRITE',[status(thm)],[inference('UR-RESOLVE',[status(thm)],[axiom_34,4583,quest_1,quest_3,quest_2]),4580]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem  : HWV021-2 : TPTP v8.1.0. Released v2.5.0.
% 0.03/0.13  % 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 09:03:24 EDT 2022
% 0.13/0.34  % CPUTime  : 
% 0.19/0.45  /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.19/0.47  * 
% 0.19/0.47  * 
% 0.19/0.47  #<PACKAGE "SNARK-USER">
% 0.19/0.47  * 
% 0.19/0.47  SNARK-TPTP-OPTIONS
% 0.19/0.47  * 
% 0.19/0.47  ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.19/0.47   (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.19/0.47   (USE-FACTORING :POS)
% 0.19/0.47   (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.19/0.47   (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.19/0.47   (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/sandbox/benchmark/theBenchmark.p 2022-06-17T09:03:24
% 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 2022-06-17T09:03:24
% 0.19/0.52  
% 2.88/3.09  ; Recognized left identity assertion (= (|f_ADD_| |n0| ?X) ?X).
% 2.88/3.09  
% 2.88/3.09  #||
% 2.88/3.09  % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 2.88/3.09  % SZS output start Refutation
% See solution above
% 2.88/3.09  ||#
% 2.88/3.09  
% 2.88/3.09  ; Summary of computation:
% 2.88/3.09  ;      9857 formulas have been input or derived (from 164 formulas).
% 2.88/3.09  ;      4588 (47%) were retained.  Of these,
% 2.88/3.09  ;          271 ( 6%) were simplified or subsumed later,
% 2.88/3.09  ;         4317 (94%) are still being kept.
% 2.88/3.09  ; 
% 2.88/3.09  ; Run time in seconds excluding printing time:
% 2.88/3.09  ;     0.033   1%   Read assertion file          (1 call)
% 2.88/3.09  ;     0.004   0%   Assert                       (137 calls)
% 2.88/3.09  ;     0.293  11%   Process new row              (8,003 calls)
% 2.88/3.09  ;     0.605  23%   Resolution                   (326 calls)
% 2.88/3.09  ;     0.017   1%   Paramodulation               (163 calls)
% 2.88/3.09  ;     0.000   0%   Factoring                    (17 calls)
% 2.88/3.09  ;     0.075   3%   Condensing                   (3,810 calls)
% 2.88/3.09  ;     1.024  39%   Forward subsumption          (3,810 calls)
% 2.88/3.09  ;     0.168   6%   Backward subsumption         (2,170 calls)
% 2.88/3.09  ;     0.075   3%   Clause clause subsumption    (11,416 calls)
% 2.88/3.09  ;     0.192   7%   Forward simplification       (7,863 calls)
% 2.88/3.09  ;     0.038   1%   Backward simplification      (4,588 calls)
% 2.88/3.09  ;     0.022   1%   Ordering                     (16,332 calls)
% 2.88/3.09  ;     0.000   0%   Sortal reasoning             (32 calls)
% 2.88/3.09  ;     0.000   0%   Purity testing               (1 call)
% 2.88/3.09  ;     0.062   2%   Other
% 2.88/3.09  ;     2.608        Total
% 2.88/3.09  ;     2.619        Real time
% 2.88/3.09  ; 
% 2.88/3.09  ; Term-hash-array has 8,005 terms in all.
% 2.88/3.09  ; Feature-vector-row-index has 1,918 entries (2,161 at peak, 2,170 added, 252 deleted).
% 2.88/3.09  ; Feature-vector-row-index has 8,256 nodes (10,957 at peak, 11,040 added, 2,784 deleted).
% 2.88/3.09  ;  Retrieved 34,082 possibly forward subsuming rows in 3,810 calls.
% 2.88/3.09  ;  Retrieved 2,965 possibly backward subsumed rows in 2,170 calls.
% 2.88/3.09  ; Path-index has 7,812 entries (7,966 at peak, 8,015 added, 203 deleted).
% 2.88/3.09  ; Path-index has 5,504 nodes (5,528 at peak, 5,552 added, 48 deleted).
% 2.88/3.09  ; Trie-index has 7,812 entries (7,966 at peak, 8,015 added, 203 deleted).
% 2.88/3.09  ; Trie-index has 17,498 nodes (18,003 at peak, 18,048 added, 550 deleted).
% 2.88/3.09  ; Retrieved 16,161 generalization terms in 54,952 calls.
% 2.88/3.09  ; Retrieved 2,873 instance terms in 2,458 calls.
% 2.88/3.09  ; Retrieved 568,252 unifiable terms in 8,867 calls.
% 2.88/3.09  ; 
% 2.88/3.09  ; The agenda of rows to process has 1280 entries:
% 2.88/3.09  ;     1 with value 9               6 with value 43              20 with value 72
% 2.88/3.09  ;    40 with value 10             14 with value 45              40 with value 73
% 2.88/3.09  ;    76 with value 11              2 with value 46              32 with value 74
% 2.88/3.09  ;   160 with value 12              2 with value 48              20 with value 75
% 2.88/3.09  ;     5 with value 13              4 with value 49              52 with value 76
% 2.88/3.09  ;    28 with value 14              4 with value 50              12 with value 77
% 2.88/3.09  ;    30 with value 15              6 with value 51              36 with value 78
% 2.88/3.09  ;     2 with value 17              2 with value 52              52 with value 79
% 2.88/3.09  ;    18 with value 18              8 with value 53               8 with value 80
% 2.88/3.09  ;     4 with value 22              6 with value 54              40 with value 81
% 2.88/3.09  ;     3 with value 23             14 with value 56               8 with value 82
% 2.88/3.09  ;     2 with value 25             12 with value 57               8 with value 84
% 2.88/3.09  ;     6 with value 26              8 with value 58              12 with value 85
% 2.88/3.09  ;     5 with value 27             26 with value 59              12 with value 86
% 2.88/3.09  ;     3 with value 28              4 with value 60              24 with value 87
% 2.88/3.09  ;     5 with value 30              4 with value 61               4 with value 88
% 2.88/3.09  ;     6 with value 31             40 with value 62              20 with value 89
% 2.88/3.09  ;     1 with value 32             36 with value 63              12 with value 90
% 2.88/3.09  ;     1 with value 33             34 with value 64              12 with value 91
% 2.88/3.09  ;     1 with value 34             34 with value 65               8 with value 92
% 2.88/3.09  ;     3 with value 36             20 with value 66               4 with value 95
% 2.88/3.09  ;     2 with value 37              6 with value 67               4 with value 98
% 2.88/3.09  ;     6 with value 39             68 with value 68               4 with value 99
% 2.88/3.09  ;     8 with value 40             40 with value 70               4 with value 102
% 2.88/3.09  ;     4 with value 42             12 with value 71
% 2.88/3.09  ; The agenda of rows to give has 4155 entries:
% 2.88/3.09  ;    16 with value (4 7)          10 with value (4 31)          20 with value (4 61)
% 2.88/3.09  ;    13 with value (4 8)          65 with value (4 32)           4 with value (4 62)
% 2.88/3.09  ;    75 with value (4 9)          12 with value (4 33)           4 with value (4 63)
% 2.88/3.09  ;   105 with value (4 10)         37 with value (4 34)           8 with value (4 65)
% 2.88/3.09  ;   380 with value (4 11)          1 with value (4 35)           8 with value (4 66)
% 2.88/3.09  ;   635 with value (4 12)          2 with value (4 36)           8 with value (4 68)
% 2.88/3.09  ;   984 with value (4 13)         19 with value (4 37)           8 with value (4 70)
% 2.88/3.09  ;    72 with value (4 14)          2 with value (4 38)          16 with value (4 72)
% 2.88/3.09  ;   208 with value (4 15)          6 with value (4 39)          12 with value (4 76)
% 2.88/3.09  ;   268 with value (4 16)          5 with value (4 40)          24 with value (4 78)
% 2.88/3.09  ;    95 with value (4 17)          1 with value (4 41)           8 with value (4 80)
% 2.88/3.09  ;   119 with value (4 18)         10 with value (4 42)          48 with value (4 82)
% 2.88/3.09  ;   137 with value (4 19)         10 with value (4 43)           4 with value (4 83)
% 2.88/3.09  ;    47 with value (4 20)          2 with value (4 44)          40 with value (4 84)
% 2.88/3.09  ;   100 with value (4 21)         11 with value (4 45)          24 with value (4 86)
% 2.88/3.09  ;    16 with value (4 22)          7 with value (4 46)          48 with value (4 88)
% 2.88/3.09  ;    12 with value (4 23)          4 with value (4 47)           8 with value (4 93)
% 2.88/3.09  ;    49 with value (4 24)          8 with value (4 49)           8 with value (4 94)
% 2.88/3.09  ;    20 with value (4 25)          3 with value (4 50)           8 with value (4 95)
% 2.88/3.09  ;     9 with value (4 26)         22 with value (4 51)           8 with value (4 96)
% 2.88/3.09  ;    50 with value (4 27)          8 with value (4 53)           8 with value (4 98)
% 2.88/3.09  ;    13 with value (4 28)         24 with value (4 55)          24 with value (4 99)
% 2.88/3.09  ;    43 with value (4 29)         22 with value (4 57)          16 with value (4 100)
% 2.88/3.09  ;     6 with value (4 30)         20 with value (4 59)           8 with value (4 111)
% 2.88/3.09  Evaluation took:
% 2.88/3.09    2.62 seconds of real time
% 2.88/3.09    2.497077 seconds of user run time
% 2.88/3.09    0.11306 seconds of system run time
% 2.88/3.09    [Run times include 0.168 seconds GC run time.]
% 2.88/3.09    0 calls to %EVAL
% 2.88/3.09    0 page faults and
% 2.88/3.09    285,184,872 bytes consed.
% 2.88/3.09  :PROOF-FOUND
% 2.88/3.09  ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-17T09:03:26
% 2.88/3.09  :PROOF-FOUND
% 2.88/3.09  * 
%------------------------------------------------------------------------------