TSTP Solution File: HWV023-2 by SNARK---20120808r022

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SNARK---20120808r022
% Problem  : HWV023-2 : TPTP v8.1.0. Released v2.5.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run-snark %s %d

% Computer : n028.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 19:10:43 EDT 2022

% Result   : Unsatisfiable 0.69s 0.88s
% Output   : Refutation 0.69s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    3
%            Number of leaves      :   12
% Syntax   : Number of clauses     :   18 (  14 unt;   2 nHn;  15 RR)
%            Number of literals    :   26 (  11 equ;  12 neg)
%            Maximal clause size   :    5 (   1 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    5 (   3 usr;   1 prp; 0-2 aty)
%            Number of functors    :   11 (  11 usr;   3 con; 0-2 aty)
%            Number of variables   :   12 (   1 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_8,axiom,
    ( p__pred_(fwork_DOTfifo_DOTrtl_DOTempty_(X))
    | fwork_DOTfifo_DOTrtl_DOTint__level_(X) != n0 ),
    file('/export/starexec/sandbox2/benchmark/Axioms/HWV004-0.ax',axiom_8) ).

cnf(axiom_43,axiom,
    ( fwork_DOTfifo_DOTrtl_DOTint__level_(f_ADD_(X,n1)) = f_SUB_(fwork_DOTfifo_DOTrtl_DOTint__level_(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/sandbox2/benchmark/Axioms/HWV004-0.ax',axiom_43) ).

cnf(axiom_60,axiom,
    ~ p_LES_EQU_(f_ADD_(X,n1),n0),
    file('/export/starexec/sandbox2/benchmark/Axioms/HWV004-0.ax',axiom_60) ).

cnf(axiom_63,axiom,
    ( def_89(X,Y)
    | f_ADD_(Z,X) != Y
    | f_SUB_(Y,X) = Z ),
    file('/export/starexec/sandbox2/benchmark/Axioms/HWV004-0.ax',axiom_63) ).

cnf(axiom_64,axiom,
    ( X != Y
    | ~ def_89(Y,X) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/HWV004-0.ax',axiom_64) ).

cnf(axiom_77,axiom,
    f_ADD_(n0,X) = X,
    file('/export/starexec/sandbox2/benchmark/Axioms/HWV004-0.ax',axiom_77) ).

cnf(quest_1,negated_conjecture,
    fwork_DOTfifo_DOTrtl_DOTlevel_(t_206) = n1,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',quest_1) ).

cnf(133,plain,
    fwork_DOTfifo_DOTrtl_DOTint__level_(t_206) = n1,
    inference('REWRITE',[status(thm)],[quest_1,axiom_5,theory(equality)]) ).

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

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

cnf(quest_4,negated_conjecture,
    ~ p__pred_(fwork_DOTfifo_DOTrtl_DOTwr_(t_206)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',quest_4) ).

cnf(quest_5,negated_conjecture,
    ~ p__pred_(fwork_DOTfifo_DOTrtl_DOTempty_(f_ADD_(t_206,n1))),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',quest_5) ).

cnf(138,plain,
    ~ p_LES_EQU_(n1,n0),
    inference('PARAMODULATE',[status(thm)],[axiom_60,axiom_77,theory(equality)]) ).

cnf(140,plain,
    ~ def_89(X,X),
    inference('UR-RESOLVE',[status(thm)],[axiom_64,theory(equality)]) ).

cnf(198,plain,
    fwork_DOTfifo_DOTrtl_DOTint__level_(f_ADD_(t_206,n1)) != n0,
    inference('UR-RESOLVE',[status(thm)],[axiom_8,quest_5]) ).

cnf(886,plain,
    f_SUB_(X,X) = n0,
    inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[axiom_63,axiom_77]),140]) ).

cnf(1143,plain,
    $false,
    inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[axiom_43,quest_2]),quest_3,quest_4,138,198,886,133,theory(equality)]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : HWV023-2 : TPTP v8.1.0. Released v2.5.0.
% 0.07/0.13  % Command  : run-snark %s %d
% 0.13/0.34  % Computer : n028.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 03:42:57 EDT 2022
% 0.13/0.34  % CPUTime  : 
% 0.21/0.46  /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.21/0.47  * 
% 0.21/0.47  * 
% 0.21/0.47  #<PACKAGE "SNARK-USER">
% 0.21/0.47  * 
% 0.21/0.47  SNARK-TPTP-OPTIONS
% 0.21/0.47  * 
% 0.21/0.47  ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.21/0.47   (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.21/0.47   (USE-FACTORING :POS)
% 0.21/0.47   (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.21/0.47   (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.21/0.47   (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.21/0.47   (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.21/0.47   (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.21/0.47   (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.21/0.47   (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.21/0.47   (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.21/0.47   (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.21/0.47   (DECLARE-TPTP-SYMBOLS2))
% 0.21/0.47  * 
% 0.21/0.47  "."
% 0.21/0.47  * 
% 0.21/0.47  ; Begin refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-06-17T03:42:57
% 0.21/0.47  ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n028.cluster.edu at 2022-06-17T03:42:57
% 0.21/0.52  
% 0.69/0.88  ; Recognized left identity assertion (= (|f_ADD_| |n0| ?X) ?X).
% 0.69/0.88  
% 0.69/0.88  #||
% 0.69/0.88  % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.69/0.88  % SZS output start Refutation
% See solution above
% 0.69/0.88  ||#
% 0.69/0.88  
% 0.69/0.88  ; Summary of computation:
% 0.69/0.88  ;      2112 formulas have been input or derived (from 124 formulas).
% 0.69/0.88  ;      1143 (54%) were retained.  Of these,
% 0.69/0.88  ;           10 ( 1%) were simplified or subsumed later,
% 0.69/0.88  ;         1133 (99%) are still being kept.
% 0.69/0.88  ; 
% 0.69/0.88  ; Run time in seconds excluding printing time:
% 0.69/0.88  ;     0.033   8%   Read assertion file          (1 call)
% 0.69/0.88  ;     0.004   1%   Assert                       (138 calls)
% 0.69/0.88  ;     0.080  20%   Process new row              (1,903 calls)
% 0.69/0.88  ;     0.083  20%   Resolution                   (246 calls)
% 0.69/0.88  ;     0.001   0%   Paramodulation               (123 calls)
% 0.69/0.88  ;     0.000   0%   Factoring                    (17 calls)
% 0.69/0.88  ;     0.029   7%   Condensing                   (1,199 calls)
% 0.69/0.88  ;     0.047  12%   Forward subsumption          (1,199 calls)
% 0.69/0.88  ;     0.024   6%   Backward subsumption         (819 calls)
% 0.69/0.88  ;     0.023   6%   Clause clause subsumption    (2,597 calls)
% 0.69/0.88  ;     0.031   8%   Forward simplification       (1,771 calls)
% 0.69/0.88  ;     0.004   1%   Backward simplification      (1,142 calls)
% 0.69/0.88  ;     0.012   3%   Ordering                     (5,528 calls)
% 0.69/0.88  ;     0.000   0%   Sortal reasoning             (32 calls)
% 0.69/0.88  ;     0.000   0%   Purity testing               (1 call)
% 0.69/0.88  ;     0.035   9%   Other
% 0.69/0.88  ;     0.406        Total
% 0.69/0.88  ;     0.408        Real time
% 0.69/0.88  ; 
% 0.69/0.88  ; Term-hash-array has 2,212 terms in all.
% 0.69/0.88  ; Feature-vector-row-index has 811 entries (811 at peak, 819 added, 8 deleted).
% 0.69/0.88  ; Feature-vector-row-index has 3,002 nodes (3,002 at peak, 3,071 added, 69 deleted).
% 0.69/0.88  ;  Retrieved 1,936 possibly forward subsuming rows in 1,199 calls.
% 0.69/0.88  ;  Retrieved 949 possibly backward subsumed rows in 819 calls.
% 0.69/0.88  ; Path-index has 2,218 entries (2,218 at peak, 2,220 added, 2 deleted).
% 0.69/0.88  ; Path-index has 3,723 nodes (3,723 at peak, 3,727 added, 4 deleted).
% 0.69/0.88  ; Trie-index has 2,218 entries (2,218 at peak, 2,220 added, 2 deleted).
% 0.69/0.88  ; Trie-index has 5,040 nodes (5,040 at peak, 5,049 added, 9 deleted).
% 0.69/0.88  ; Retrieved 1,024 generalization terms in 8,245 calls.
% 0.69/0.88  ; Retrieved 424 instance terms in 363 calls.
% 0.69/0.88  ; Retrieved 64,784 unifiable terms in 1,796 calls.
% 0.69/0.88  ; 
% 0.69/0.88  ; The agenda of input rows to give has 16 entries:
% 0.69/0.88  ;     3 with value 36              1 with value 49               1 with value 63
% 0.69/0.88  ;     3 with value 41              1 with value 52               1 with value 68
% 0.69/0.88  ;     2 with value 47              3 with value 55               1 with value 74
% 0.69/0.88  ; The agenda of rows to give has 995 entries:
% 0.69/0.88  ;     4 with value (4 5)          11 with value (4 19)          23 with value (4 32)
% 0.69/0.88  ;     2 with value (4 6)          29 with value (4 20)           6 with value (4 33)
% 0.69/0.88  ;    31 with value (4 7)         101 with value (4 21)          37 with value (4 34)
% 0.69/0.88  ;     6 with value (4 8)          17 with value (4 22)           1 with value (4 35)
% 0.69/0.88  ;    67 with value (4 9)          13 with value (4 23)           1 with value (4 36)
% 0.69/0.88  ;    49 with value (4 10)         49 with value (4 24)          19 with value (4 37)
% 0.69/0.88  ;    13 with value (4 11)         20 with value (4 25)           2 with value (4 38)
% 0.69/0.88  ;    33 with value (4 12)          3 with value (4 26)           5 with value (4 39)
% 0.69/0.88  ;    84 with value (4 13)          8 with value (4 27)           3 with value (4 40)
% 0.69/0.88  ;    34 with value (4 14)          7 with value (4 28)           6 with value (4 42)
% 0.69/0.88  ;    18 with value (4 15)         43 with value (4 29)           9 with value (4 43)
% 0.69/0.88  ;    54 with value (4 16)          6 with value (4 30)           6 with value (4 45)
% 0.69/0.88  ;    67 with value (4 17)          4 with value (4 31)           3 with value (4 50)
% 0.69/0.88  ;   101 with value (4 18)
% 0.69/0.88  Evaluation took:
% 0.69/0.88    0.409 seconds of real time
% 0.69/0.88    0.370455 seconds of user run time
% 0.69/0.88    0.037852 seconds of system run time
% 0.69/0.88    [Run times include 0.02 seconds GC run time.]
% 0.69/0.88    0 calls to %EVAL
% 0.69/0.88    0 page faults and
% 0.69/0.88    29,155,208 bytes consed.
% 0.69/0.88  :PROOF-FOUND
% 0.69/0.88  ; End refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-06-17T03:42:58
% 0.69/0.88  :PROOF-FOUND
% 0.69/0.88  * 
%------------------------------------------------------------------------------