TSTP Solution File: HWV018-2 by SNARK---20120808r022

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SNARK---20120808r022
% Problem  : HWV018-2 : TPTP v8.1.0. Released v2.5.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run-snark %s %d

% Computer : n007.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 19:10:39 EDT 2022

% Result   : Unsatisfiable 0.72s 0.93s
% Output   : Refutation 0.75s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    2
%            Number of leaves      :   11
% Syntax   : Number of clauses     :   15 (  10 unt;   2 nHn;  13 RR)
%            Number of literals    :   23 (   5 equ;  11 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   :    9 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(axiom_6,axiom,
    ( p__pred_(fwork_DOTfifo_DOTrtl_DOTfull_(X))
    | fwork_DOTfifo_DOTrtl_DOTint__level_(X) != fwork_DOTfifo_DOTrtl_DOTfifo__length_ ),
    file('/export/starexec/sandbox/benchmark/Axioms/HWV004-0.ax',axiom_6) ).

cnf(axiom_7,axiom,
    ( ~ p__pred_(fwork_DOTfifo_DOTrtl_DOTfull_(X))
    | fwork_DOTfifo_DOTrtl_DOTint__level_(X) = fwork_DOTfifo_DOTrtl_DOTfifo__length_ ),
    file('/export/starexec/sandbox/benchmark/Axioms/HWV004-0.ax',axiom_7) ).

cnf(axiom_23,axiom,
    ( fwork_DOTfifo_DOTrtl_DOTint__level_(f_ADD_(X,n1)) = fwork_DOTfifo_DOTrtl_DOTint__level_(X)
    | ~ 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_23) ).

cnf(axiom_75,axiom,
    p_LES_EQU_(X,X),
    file('/export/starexec/sandbox/benchmark/Axioms/HWV004-0.ax',axiom_75) ).

cnf(axiom_131,axiom,
    ( ~ p_LES_EQU_(X,Y)
    | ~ p__pred_(f__gt_(X,Y)) ),
    file('/export/starexec/sandbox/benchmark/Axioms/HWV004-0.ax',axiom_131) ).

cnf(axiom_132,axiom,
    ( p_LES_EQU_(X,Y)
    | p__pred_(f__gt_(X,Y)) ),
    file('/export/starexec/sandbox/benchmark/Axioms/HWV004-0.ax',axiom_132) ).

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

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

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

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

cnf(quest_5,negated_conjecture,
    ~ p__pred_(fwork_DOTfifo_DOTrtl_DOTfull_(f_ADD_(t_206,n1))),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',quest_5) ).

cnf(193,plain,
    ~ p__pred_(f__gt_(X,X)),
    inference('UR-RESOLVE',[status(thm)],[axiom_131,axiom_75]) ).

cnf(201,plain,
    fwork_DOTfifo_DOTrtl_DOTint__level_(f_ADD_(t_206,n1)) != fwork_DOTfifo_DOTrtl_DOTfifo__length_,
    inference('UR-RESOLVE',[status(thm)],[axiom_6,quest_5]) ).

cnf(202,plain,
    fwork_DOTfifo_DOTrtl_DOTint__level_(t_206) = fwork_DOTfifo_DOTrtl_DOTfifo__length_,
    inference('HYPERRESOLVE',[status(thm)],[axiom_7,quest_2]) ).

cnf(1250,plain,
    $false,
    inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[axiom_23,axiom_132,quest_4]),quest_3,quest_1,201,193,202,theory(equality)]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13  % Problem  : HWV018-2 : TPTP v8.1.0. Released v2.5.0.
% 0.07/0.14  % Command  : run-snark %s %d
% 0.13/0.36  % Computer : n007.cluster.edu
% 0.13/0.36  % Model    : x86_64 x86_64
% 0.13/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.36  % Memory   : 8042.1875MB
% 0.13/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.36  % CPULimit : 300
% 0.13/0.36  % WCLimit  : 600
% 0.13/0.36  % DateTime : Fri Jun 17 09:43:42 EDT 2022
% 0.13/0.36  % CPUTime  : 
% 0.20/0.48  /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.20/0.49  * 
% 0.20/0.49  * 
% 0.20/0.50  #<PACKAGE "SNARK-USER">
% 0.20/0.50  * 
% 0.20/0.50  SNARK-TPTP-OPTIONS
% 0.20/0.50  * 
% 0.20/0.50  ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.20/0.50   (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.20/0.50   (USE-FACTORING :POS)
% 0.20/0.50   (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.20/0.50   (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.20/0.50   (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.20/0.50   (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.20/0.50   (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.20/0.50   (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.20/0.50   (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.20/0.50   (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.20/0.50   (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.20/0.50   (DECLARE-TPTP-SYMBOLS2))
% 0.20/0.50  * 
% 0.20/0.50  "."
% 0.20/0.50  * 
% 0.20/0.50  ; Begin refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-17T09:43:42
% 0.20/0.50  ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n007.cluster.edu at 2022-06-17T09:43:42
% 0.20/0.55  
% 0.72/0.93  ; Recognized left identity assertion (= (|f_ADD_| |n0| ?X) ?X).
% 0.72/0.93  
% 0.72/0.93  #||
% 0.72/0.93  % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.72/0.93  % SZS output start Refutation
% See solution above
% 0.75/0.93  ||#
% 0.75/0.93  
% 0.75/0.93  ; Summary of computation:
% 0.75/0.93  ;      2275 formulas have been input or derived (from 116 formulas).
% 0.75/0.93  ;      1250 (55%) were retained.  Of these,
% 0.75/0.93  ;            5 ( 0%) were simplified or subsumed later,
% 0.75/0.93  ;         1245 (100%) are still being kept.
% 0.75/0.93  ; 
% 0.75/0.93  ; Run time in seconds excluding printing time:
% 0.75/0.93  ;     0.033   8%   Read assertion file          (1 call)
% 0.75/0.93  ;     0.005   1%   Assert                       (138 calls)
% 0.75/0.93  ;     0.094  22%   Process new row              (2,055 calls)
% 0.75/0.93  ;     0.101  24%   Resolution                   (230 calls)
% 0.75/0.93  ;     0.004   1%   Paramodulation               (115 calls)
% 0.75/0.93  ;     0.001   0%   Factoring                    (17 calls)
% 0.75/0.93  ;     0.039   9%   Condensing                   (1,256 calls)
% 0.75/0.93  ;     0.034   8%   Forward subsumption          (1,256 calls)
% 0.75/0.93  ;     0.025   6%   Backward subsumption         (871 calls)
% 0.75/0.93  ;     0.017   4%   Clause clause subsumption    (2,787 calls)
% 0.75/0.93  ;     0.032   7%   Forward simplification       (1,913 calls)
% 0.75/0.93  ;     0.003   1%   Backward simplification      (1,250 calls)
% 0.75/0.93  ;     0.007   2%   Ordering                     (5,689 calls)
% 0.75/0.93  ;     0.000   0%   Sortal reasoning             (32 calls)
% 0.75/0.93  ;     0.000   0%   Purity testing               (1 call)
% 0.75/0.93  ;     0.033   8%   Other
% 0.75/0.93  ;     0.428        Total
% 0.75/0.93  ;     0.429        Real time
% 0.75/0.93  ; 
% 0.75/0.93  ; Term-hash-array has 2,433 terms in all.
% 0.75/0.93  ; Feature-vector-row-index has 867 entries (867 at peak, 871 added, 4 deleted).
% 0.75/0.93  ; Feature-vector-row-index has 2,973 nodes (2,973 at peak, 3,009 added, 36 deleted).
% 0.75/0.93  ;  Retrieved 2,029 possibly forward subsuming rows in 1,256 calls.
% 0.75/0.93  ;  Retrieved 1,035 possibly backward subsumed rows in 871 calls.
% 0.75/0.93  ; Path-index has 2,439 entries (2,439 at peak, 2,441 added, 2 deleted).
% 0.75/0.93  ; Path-index has 3,743 nodes (3,743 at peak, 3,747 added, 4 deleted).
% 0.75/0.93  ; Trie-index has 2,439 entries (2,439 at peak, 2,441 added, 2 deleted).
% 0.75/0.93  ; Trie-index has 5,322 nodes (5,322 at peak, 5,331 added, 9 deleted).
% 0.75/0.93  ; Retrieved 880 generalization terms in 7,969 calls.
% 0.75/0.93  ; Retrieved 480 instance terms in 419 calls.
% 0.75/0.93  ; Retrieved 76,210 unifiable terms in 1,870 calls.
% 0.75/0.93  ; 
% 0.75/0.93  ; The agenda of rows to process has 5 entries:
% 0.75/0.93  ;     3 with value 29              2 with value 39
% 0.75/0.93  ; The agenda of input rows to give has 24 entries:
% 0.75/0.93  ;     5 with value 31              2 with value 47               1 with value 63
% 0.75/0.93  ;     3 with value 33              1 with value 49               1 with value 68
% 0.75/0.93  ;     3 with value 36              1 with value 52               1 with value 74
% 0.75/0.93  ;     3 with value 41              3 with value 55
% 0.75/0.93  ; The agenda of rows to give has 1107 entries:
% 0.75/0.93  ;     4 with value (4 5)          11 with value (4 19)          23 with value (4 32)
% 0.75/0.93  ;     2 with value (4 6)          29 with value (4 20)           6 with value (4 33)
% 0.75/0.93  ;    32 with value (4 7)         100 with value (4 21)          37 with value (4 34)
% 0.75/0.93  ;     7 with value (4 8)          16 with value (4 22)           1 with value (4 35)
% 0.75/0.93  ;    88 with value (4 9)          12 with value (4 23)           1 with value (4 36)
% 0.75/0.93  ;    75 with value (4 10)         49 with value (4 24)          23 with value (4 37)
% 0.75/0.93  ;    13 with value (4 11)         26 with value (4 25)           2 with value (4 38)
% 0.75/0.93  ;    35 with value (4 12)          3 with value (4 26)           3 with value (4 39)
% 0.75/0.93  ;    96 with value (4 13)          8 with value (4 27)           3 with value (4 40)
% 0.75/0.93  ;    64 with value (4 14)          7 with value (4 28)           6 with value (4 42)
% 0.75/0.93  ;    16 with value (4 15)         39 with value (4 29)           9 with value (4 43)
% 0.75/0.93  ;    52 with value (4 16)         12 with value (4 30)           6 with value (4 45)
% 0.75/0.93  ;    83 with value (4 17)          4 with value (4 31)           3 with value (4 50)
% 0.75/0.93  ;   101 with value (4 18)
% 0.75/0.93  Evaluation took:
% 0.75/0.93    0.429 seconds of real time
% 0.75/0.93    0.390346 seconds of user run time
% 0.75/0.93    0.039541 seconds of system run time
% 0.75/0.93    [Run times include 0.019 seconds GC run time.]
% 0.75/0.93    0 calls to %EVAL
% 0.75/0.93    0 page faults and
% 0.75/0.93    30,191,016 bytes consed.
% 0.75/0.93  :PROOF-FOUND
% 0.75/0.93  ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-17T09:43:43
% 0.75/0.93  :PROOF-FOUND
% 0.75/0.93  * 
%------------------------------------------------------------------------------