TSTP Solution File: HWV021-1 by SNARK---20120808r022

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SNARK---20120808r022
% Problem  : HWV021-1 : TPTP v8.1.0. Released v2.5.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run-snark %s %d

% Computer : n021.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 0.20s 0.58s
% Output   : Refutation 0.20s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    3
%            Number of leaves      :    8
% Syntax   : Number of clauses     :   11 (   7 unt;   2 nHn;  10 RR)
%            Number of literals    :   21 (   3 equ;  11 neg)
%            Maximal clause size   :    5 (   1 avg)
%            Maximal term depth    :    2 (   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   :    4 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(axiom_15,axiom,
    ( X = n0
    | gt(X,n0) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/HWV003-0.ax',axiom_15) ).

cnf(axiom_24,axiom,
    ( int_level(X) != n0
    | p_Empty(X) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/HWV003-0.ax',axiom_24) ).

cnf(axiom_52,axiom,
    ( p_Reset(X)
    | ~ p_Wr(X)
    | ~ p_Rd(X)
    | ~ gt(int_level(X),n0)
    | ~ p_Rd_error(plus(X,n1)) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/HWV003-0.ax',axiom_52) ).

cnf(axiom_70,axiom,
    ( p_Reset(X)
    | p_Wr(X)
    | ~ p_Rd(X)
    | ~ gt(int_level(X),n0)
    | ~ p_Rd_error(plus(X,n1)) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/HWV003-0.ax',axiom_70) ).

cnf(quest_1,negated_conjecture,
    p_Rd_error(plus(t_139,n1)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',quest_1) ).

cnf(quest_2,negated_conjecture,
    p_Rd(t_139),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',quest_2) ).

cnf(quest_3,negated_conjecture,
    ~ p_Reset(t_139),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',quest_3) ).

cnf(quest_4,negated_conjecture,
    ~ p_Empty(t_139),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',quest_4) ).

cnf(97,plain,
    int_level(t_139) != n0,
    inference('UR-RESOLVE',[status(thm)],[axiom_24,quest_4]) ).

cnf(166,plain,
    p_Wr(t_139),
    inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[axiom_70,quest_2,axiom_15,quest_1]),quest_3,97]) ).

cnf(197,plain,
    $false,
    inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[axiom_52,166,quest_2,axiom_15,quest_1]),quest_3,97]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12  % Problem  : HWV021-1 : TPTP v8.1.0. Released v2.5.0.
% 0.10/0.13  % Command  : run-snark %s %d
% 0.14/0.34  % Computer : n021.cluster.edu
% 0.14/0.34  % Model    : x86_64 x86_64
% 0.14/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34  % Memory   : 8042.1875MB
% 0.14/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34  % CPULimit : 300
% 0.14/0.34  % WCLimit  : 600
% 0.14/0.34  % DateTime : Fri Jun 17 08:35:45 EDT 2022
% 0.14/0.34  % CPUTime  : 
% 0.20/0.45  /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.20/0.46  * 
% 0.20/0.46  * 
% 0.20/0.47  #<PACKAGE "SNARK-USER">
% 0.20/0.47  * 
% 0.20/0.47  SNARK-TPTP-OPTIONS
% 0.20/0.47  * 
% 0.20/0.47  ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.20/0.47   (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.20/0.47   (USE-FACTORING :POS)
% 0.20/0.47   (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.20/0.47   (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.20/0.47   (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.20/0.47   (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.20/0.47   (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.20/0.47   (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.20/0.47   (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.20/0.47   (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.20/0.47   (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.20/0.47   (DECLARE-TPTP-SYMBOLS2))
% 0.20/0.47  * 
% 0.20/0.47  "."
% 0.20/0.47  * 
% 0.20/0.47  ; Begin refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-06-17T08:35:45
% 0.20/0.47  ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n021.cluster.edu at 2022-06-17T08:35:45
% 0.20/0.50  
% 0.20/0.58  ; Recognized left identity assertion (= (|plus| |n0| ?X) ?X).
% 0.20/0.58  
% 0.20/0.58  #||
% 0.20/0.58  % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.20/0.58  % SZS output start Refutation
% See solution above
% 0.20/0.58  ||#
% 0.20/0.58  
% 0.20/0.58  ; Summary of computation:
% 0.20/0.58  ;       361 formulas have been input or derived (from 94 formulas).
% 0.20/0.58  ;       197 (55%) were retained.  Of these,
% 0.20/0.58  ;            9 ( 5%) were simplified or subsumed later,
% 0.20/0.58  ;          188 (95%) are still being kept.
% 0.20/0.58  ; 
% 0.20/0.58  ; Run time in seconds excluding printing time:
% 0.20/0.58  ;     0.023  21%   Read assertion file          (1 call)
% 0.20/0.58  ;     0.003   3%   Assert                       (94 calls)
% 0.20/0.58  ;     0.022  20%   Process new row              (290 calls)
% 0.20/0.58  ;     0.010   9%   Resolution                   (186 calls)
% 0.20/0.58  ;     0.001   1%   Paramodulation               (93 calls)
% 0.20/0.58  ;     0.000   0%   Factoring                    (6 calls)
% 0.20/0.58  ;     0.004   4%   Condensing                   (193 calls)
% 0.20/0.58  ;     0.006   5%   Forward subsumption          (193 calls)
% 0.20/0.58  ;     0.004   4%   Backward subsumption         (170 calls)
% 0.20/0.58  ;     0.000   0%   Clause clause subsumption    (91 calls)
% 0.20/0.58  ;     0.009   8%   Forward simplification       (286 calls)
% 0.20/0.58  ;     0.000   0%   Backward simplification      (197 calls)
% 0.20/0.58  ;     0.002   2%   Ordering                     (732 calls)
% 0.20/0.58  ;     0.000   0%   Sortal reasoning             (32 calls)
% 0.20/0.58  ;     0.001   1%   Purity testing               (1 call)
% 0.20/0.58  ;     0.025  23%   Other
% 0.20/0.58  ;     0.110        Total
% 0.20/0.58  ;     0.111        Real time
% 0.20/0.58  ; 
% 0.20/0.58  ; Term-hash-array has 194 terms in all.
% 0.20/0.58  ; Feature-vector-row-index has 162 entries (162 at peak, 170 added, 8 deleted).
% 0.20/0.58  ; Feature-vector-row-index has 1,145 nodes (1,145 at peak, 1,201 added, 56 deleted).
% 0.20/0.58  ;  Retrieved 143 possibly forward subsuming rows in 193 calls.
% 0.20/0.58  ;  Retrieved 21 possibly backward subsumed rows in 170 calls.
% 0.20/0.58  ; Path-index has 195 entries (195 at peak, 199 added, 4 deleted).
% 0.20/0.58  ; Path-index has 433 nodes (433 at peak, 441 added, 8 deleted).
% 0.20/0.58  ; Trie-index has 195 entries (195 at peak, 199 added, 4 deleted).
% 0.20/0.58  ; Trie-index has 470 nodes (470 at peak, 491 added, 21 deleted).
% 0.20/0.58  ; Retrieved 368 generalization terms in 1,093 calls.
% 0.20/0.58  ; Retrieved 44 instance terms in 26 calls.
% 0.20/0.58  ; Retrieved 3,804 unifiable terms in 1,025 calls.
% 0.20/0.58  ; 
% 0.20/0.58  ; The agenda of rows to process has 17 entries:
% 0.20/0.58  ;     1 with value 11              1 with value 23               1 with value 34
% 0.20/0.58  ;     2 with value 17              1 with value 27               1 with value 37
% 0.20/0.58  ;     1 with value 20              1 with value 28               1 with value 39
% 0.20/0.58  ;     2 with value 21              1 with value 32               1 with value 45
% 0.20/0.58  ;     1 with value 22              1 with value 33               1 with value 48
% 0.20/0.58  ; The agenda of rows to give has 98 entries:
% 0.20/0.58  ;     4 with value (4 5)           4 with value (4 17)           1 with value (4 32)
% 0.20/0.58  ;     3 with value (4 7)           7 with value (4 18)           3 with value (4 35)
% 0.20/0.58  ;     6 with value (4 8)           4 with value (4 19)           1 with value (4 37)
% 0.20/0.58  ;     1 with value (4 9)           4 with value (4 21)           2 with value (4 38)
% 0.20/0.58  ;     1 with value (4 10)          6 with value (4 23)           2 with value (4 40)
% 0.20/0.58  ;     3 with value (4 11)          2 with value (4 24)           2 with value (4 41)
% 0.20/0.58  ;     5 with value (4 12)          2 with value (4 26)           2 with value (4 42)
% 0.20/0.58  ;     7 with value (4 13)          5 with value (4 27)           1 with value (4 43)
% 0.20/0.58  ;     1 with value (4 14)          3 with value (4 28)           2 with value (4 46)
% 0.20/0.58  ;     3 with value (4 15)          2 with value (4 30)           1 with value (4 48)
% 0.20/0.58  ;     3 with value (4 16)          3 with value (4 31)           2 with value (4 57)
% 0.20/0.58  Evaluation took:
% 0.20/0.58    0.112 seconds of real time
% 0.20/0.58    0.097153 seconds of user run time
% 0.20/0.58    0.015025 seconds of system run time
% 0.20/0.58    0 calls to %EVAL
% 0.20/0.58    0 page faults and
% 0.20/0.58    5,924,896 bytes consed.
% 0.20/0.58  :PROOF-FOUND
% 0.20/0.58  ; End refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-06-17T08:35:46
% 0.20/0.58  :PROOF-FOUND
% 0.20/0.58  * 
%------------------------------------------------------------------------------