TSTP Solution File: HWV020-1 by SNARK---20120808r022

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SNARK---20120808r022
% Problem  : HWV020-1 : TPTP v8.1.0. Released v2.5.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run-snark %s %d

% Computer : n022.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 19:10:41 EDT 2022

% Result   : Unsatisfiable 0.18s 0.56s
% Output   : Refutation 0.18s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    5
%            Number of leaves      :   10
% Syntax   : Number of clauses     :   15 (  10 unt;   2 nHn;  15 RR)
%            Number of literals    :   26 (   5 equ;  11 neg)
%            Maximal clause size   :    5 (   1 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    8 (   6 usr;   1 prp; 0-2 aty)
%            Number of functors    :    5 (   5 usr;   3 con; 0-2 aty)
%            Number of variables   :    5 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(axiom_17,axiom,
    ~ gt(X,X),
    file('/export/starexec/sandbox/benchmark/Axioms/HWV003-0.ax',axiom_17) ).

cnf(axiom_24,axiom,
    ( int_level(X) != n0
    | p_Empty(X) ),
    file('/export/starexec/sandbox/benchmark/Axioms/HWV003-0.ax',axiom_24) ).

cnf(axiom_25,axiom,
    ( int_level(X) = n0
    | ~ p_Empty(X) ),
    file('/export/starexec/sandbox/benchmark/Axioms/HWV003-0.ax',axiom_25) ).

cnf(axiom_76,axiom,
    ( p_Reset(X)
    | p_Wr(X)
    | ~ p_Rd(X)
    | gt(int_level(X),n0)
    | p_Rd_error(plus(X,n1)) ),
    file('/export/starexec/sandbox/benchmark/Axioms/HWV003-0.ax',axiom_76) ).

cnf(axiom_78,axiom,
    ( p_Reset(X)
    | p_Wr(X)
    | ~ p_Rd(X)
    | gt(int_level(X),n0)
    | int_level(plus(X,n1)) = int_level(X) ),
    file('/export/starexec/sandbox/benchmark/Axioms/HWV003-0.ax',axiom_78) ).

cnf(quest_1,negated_conjecture,
    p_Rd(t_139),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',quest_1) ).

cnf(quest_2,negated_conjecture,
    p_Empty(t_139),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',quest_2) ).

cnf(quest_3,negated_conjecture,
    ~ p_Wr(t_139),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',quest_3) ).

cnf(quest_4,negated_conjecture,
    ~ p_Reset(t_139),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',quest_4) ).

cnf(quest_5,negated_conjecture,
    ( ~ p_Empty(plus(t_139,n1))
    | ~ p_Rd_error(plus(t_139,n1)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',quest_5) ).

cnf(98,plain,
    int_level(t_139) = n0,
    inference('HYPERRESOLVE',[status(thm)],[axiom_25,quest_2]) ).

cnf(165,plain,
    p_Rd_error(plus(t_139,n1)),
    inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[axiom_76,quest_1]),axiom_17,98,quest_3,quest_4,theory(equality)]) ).

cnf(166,plain,
    ~ p_Empty(plus(t_139,n1)),
    inference('REWRITE',[status(thm)],[quest_5,165]) ).

cnf(167,plain,
    int_level(plus(t_139,n1)) != n0,
    inference('UR-RESOLVE',[status(thm)],[axiom_24,166]) ).

cnf(173,plain,
    $false,
    inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[axiom_78,quest_1]),167,axiom_17,98,quest_3,quest_4,theory(equality)]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem  : HWV020-1 : TPTP v8.1.0. Released v2.5.0.
% 0.03/0.13  % Command  : run-snark %s %d
% 0.12/0.33  % Computer : n022.cluster.edu
% 0.12/0.33  % Model    : x86_64 x86_64
% 0.12/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33  % Memory   : 8042.1875MB
% 0.12/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33  % CPULimit : 300
% 0.12/0.33  % WCLimit  : 600
% 0.12/0.33  % DateTime : Fri Jun 17 03:21:02 EDT 2022
% 0.12/0.34  % CPUTime  : 
% 0.18/0.45  /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.18/0.46  * 
% 0.18/0.46  * 
% 0.18/0.46  #<PACKAGE "SNARK-USER">
% 0.18/0.46  * 
% 0.18/0.46  SNARK-TPTP-OPTIONS
% 0.18/0.46  * 
% 0.18/0.46  ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.18/0.46   (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.18/0.46   (USE-FACTORING :POS)
% 0.18/0.46   (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.18/0.46   (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.18/0.46   (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.18/0.46   (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.18/0.46   (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.18/0.46   (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.18/0.46   (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.18/0.46   (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.18/0.46   (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.18/0.46   (DECLARE-TPTP-SYMBOLS2))
% 0.18/0.46  * 
% 0.18/0.46  "."
% 0.18/0.46  * 
% 0.18/0.46  ; Begin refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-17T03:21:02
% 0.18/0.46  ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n022.cluster.edu at 2022-06-17T03:21:02
% 0.18/0.50  
% 0.18/0.56  ; Recognized left identity assertion (= (|plus| |n0| ?X) ?X).
% 0.18/0.56  
% 0.18/0.56  #||
% 0.18/0.56  % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.18/0.56  % SZS output start Refutation
% See solution above
% 0.39/0.56  ||#
% 0.39/0.56  
% 0.39/0.56  ; Summary of computation:
% 0.39/0.56  ;       247 formulas have been input or derived (from 68 formulas).
% 0.39/0.56  ;       173 (70%) were retained.  Of these,
% 0.39/0.56  ;            9 ( 5%) were simplified or subsumed later,
% 0.39/0.56  ;          164 (95%) are still being kept.
% 0.39/0.56  ; 
% 0.39/0.56  ; Run time in seconds excluding printing time:
% 0.39/0.56  ;     0.023  23%   Read assertion file          (1 call)
% 0.39/0.56  ;     0.003   3%   Assert                       (95 calls)
% 0.39/0.56  ;     0.012  12%   Process new row              (236 calls)
% 0.39/0.56  ;     0.008   8%   Resolution                   (134 calls)
% 0.39/0.56  ;     0.002   2%   Paramodulation               (67 calls)
% 0.39/0.56  ;     0.000   0%   Factoring                    (6 calls)
% 0.39/0.56  ;     0.004   4%   Condensing                   (168 calls)
% 0.39/0.56  ;     0.001   1%   Forward subsumption          (168 calls)
% 0.39/0.56  ;     0.005   5%   Backward subsumption         (145 calls)
% 0.39/0.56  ;     0.004   4%   Clause clause subsumption    (66 calls)
% 0.39/0.56  ;     0.008   8%   Forward simplification       (234 calls)
% 0.39/0.56  ;     0.000   0%   Backward simplification      (173 calls)
% 0.39/0.56  ;     0.003   3%   Ordering                     (336 calls)
% 0.39/0.56  ;     0.000   0%   Sortal reasoning             (32 calls)
% 0.39/0.56  ;     0.000   0%   Purity testing               (1 call)
% 0.39/0.56  ;     0.025  26%   Other
% 0.39/0.56  ;     0.098        Total
% 0.39/0.56  ;     0.101        Real time
% 0.39/0.56  ; 
% 0.39/0.56  ; Term-hash-array has 178 terms in all.
% 0.39/0.56  ; Feature-vector-row-index has 137 entries (139 at peak, 145 added, 8 deleted).
% 0.39/0.56  ; Feature-vector-row-index has 859 nodes (875 at peak, 919 added, 60 deleted).
% 0.39/0.56  ;  Retrieved 102 possibly forward subsuming rows in 168 calls.
% 0.39/0.56  ;  Retrieved 21 possibly backward subsumed rows in 145 calls.
% 0.39/0.56  ; Path-index has 180 entries (180 at peak, 183 added, 3 deleted).
% 0.39/0.56  ; Path-index has 385 nodes (385 at peak, 391 added, 6 deleted).
% 0.39/0.56  ; Trie-index has 180 entries (180 at peak, 183 added, 3 deleted).
% 0.39/0.56  ; Trie-index has 417 nodes (417 at peak, 429 added, 12 deleted).
% 0.39/0.56  ; Retrieved 236 generalization terms in 714 calls.
% 0.39/0.56  ; Retrieved 45 instance terms in 27 calls.
% 0.39/0.56  ; Retrieved 1,866 unifiable terms in 501 calls.
% 0.39/0.56  ; 
% 0.39/0.56  ; The agenda of input rows to give has 27 entries:
% 0.39/0.56  ;     5 with value 26              5 with value 29               2 with value 34
% 0.39/0.56  ;     3 with value 27              3 with value 32               3 with value 35
% 0.39/0.56  ;     6 with value 28
% 0.39/0.56  ; The agenda of rows to give has 74 entries:
% 0.39/0.56  ;     4 with value (4 5)           7 with value (4 13)           4 with value (4 21)
% 0.39/0.56  ;     4 with value (4 7)           1 with value (4 14)           6 with value (4 23)
% 0.39/0.56  ;     4 with value (4 8)           3 with value (4 15)           2 with value (4 27)
% 0.39/0.56  ;     1 with value (4 9)           3 with value (4 16)           2 with value (4 28)
% 0.39/0.56  ;     2 with value (4 10)          4 with value (4 17)           2 with value (4 30)
% 0.39/0.56  ;     4 with value (4 11)          7 with value (4 18)           3 with value (4 31)
% 0.39/0.56  ;     5 with value (4 12)          4 with value (4 19)           2 with value (4 35)
% 0.39/0.56  Evaluation took:
% 0.39/0.56    0.101 seconds of real time
% 0.39/0.56    0.088775 seconds of user run time
% 0.39/0.56    0.01218 seconds of system run time
% 0.39/0.57    0 calls to %EVAL
% 0.39/0.57    0 page faults and
% 0.39/0.57    5,183,776 bytes consed.
% 0.39/0.57  :PROOF-FOUND
% 0.39/0.57  ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-17T03:21:02
% 0.39/0.57  :PROOF-FOUND
% 0.39/0.57  * 
%------------------------------------------------------------------------------