TSTP Solution File: HWV028-1 by SNARK---20120808r022

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SNARK---20120808r022
% Problem  : HWV028-1 : TPTP v8.1.0. Released v2.5.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run-snark %s %d

% Computer : n011.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 19:10:46 EDT 2022

% Result   : Unsatisfiable 0.40s 0.56s
% Output   : Refutation 0.40s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    2
%            Number of leaves      :    7
% Syntax   : Number of clauses     :   11 (   9 unt;   0 nHn;  10 RR)
%            Number of literals    :   14 (   3 equ;   5 neg)
%            Maximal clause size   :    3 (   1 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    4 (   2 usr;   1 prp; 0-2 aty)
%            Number of functors    :    7 (   7 usr;   4 con; 0-2 aty)
%            Number of variables   :    6 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(axiom_13,axiom,
    ( ~ gt(X,Y)
    | gt(X,Z)
    | ~ gt(Y,Z) ),
    file('/export/starexec/sandbox/benchmark/Axioms/HWV003-0.ax',axiom_13) ).

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

cnf(axiom_21,axiom,
    level(X) = int_level(X),
    file('/export/starexec/sandbox/benchmark/Axioms/HWV003-0.ax',axiom_21) ).

cnf(axiom_26,axiom,
    ( ~ p_Reset(X)
    | int_level(plus(X,n1)) = n0 ),
    file('/export/starexec/sandbox/benchmark/Axioms/HWV003-0.ax',axiom_26) ).

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

cnf(quest_2,negated_conjecture,
    gt(level(plus(t_139,n1)),fifo_length),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',quest_2) ).

cnf(91,plain,
    gt(int_level(plus(t_139,n1)),fifo_length),
    inference('REWRITE',[status(thm)],[quest_2,axiom_21,theory(equality)]) ).

cnf(quest_3,negated_conjecture,
    gt(fifo_length,n0),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',quest_3) ).

cnf(110,plain,
    ~ gt(n0,fifo_length),
    inference('UR-RESOLVE',[status(thm)],[axiom_13,axiom_17,quest_3]) ).

cnf(120,plain,
    int_level(plus(t_139,n1)) = n0,
    inference('HYPERRESOLVE',[status(thm)],[axiom_26,quest_1]) ).

cnf(121,plain,
    $false,
    inference('REWRITE',[status(thm)],[91,110,120,theory(equality)]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.13  % Problem  : HWV028-1 : TPTP v8.1.0. Released v2.5.0.
% 0.04/0.13  % Command  : run-snark %s %d
% 0.13/0.35  % Computer : n011.cluster.edu
% 0.13/0.35  % Model    : x86_64 x86_64
% 0.13/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35  % Memory   : 8042.1875MB
% 0.13/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35  % CPULimit : 300
% 0.13/0.35  % WCLimit  : 600
% 0.13/0.35  % DateTime : Fri Jun 17 07:08:07 EDT 2022
% 0.13/0.35  % CPUTime  : 
% 0.20/0.47  /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.20/0.48  * 
% 0.20/0.48  * 
% 0.20/0.49  #<PACKAGE "SNARK-USER">
% 0.20/0.49  * 
% 0.20/0.49  SNARK-TPTP-OPTIONS
% 0.20/0.49  * 
% 0.20/0.49  ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.20/0.49   (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.20/0.49   (USE-FACTORING :POS)
% 0.20/0.49   (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.20/0.49   (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.20/0.49   (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.20/0.49   (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.20/0.49   (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.20/0.49   (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.20/0.49   (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.20/0.49   (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.20/0.49   (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.20/0.49   (DECLARE-TPTP-SYMBOLS2))
% 0.20/0.49  * 
% 0.20/0.49  "."
% 0.20/0.49  * 
% 0.20/0.49  ; Begin refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-17T07:08:07
% 0.20/0.49  ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n011.cluster.edu at 2022-06-17T07:08:07
% 0.20/0.52  
% 0.40/0.56  ; Recognized left identity assertion (= (|plus| |n0| ?X) ?X).
% 0.40/0.56  
% 0.40/0.56  #||
% 0.40/0.56  % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.40/0.56  % SZS output start Refutation
% See solution above
% 0.40/0.57  ||#
% 0.40/0.57  
% 0.40/0.57  ; Summary of computation:
% 0.40/0.57  ;       169 formulas have been input or derived (from 24 formulas).
% 0.40/0.57  ;       121 (72%) were retained.  Of these,
% 0.40/0.57  ;            7 ( 6%) were simplified or subsumed later,
% 0.40/0.57  ;          114 (94%) are still being kept.
% 0.40/0.57  ; 
% 0.40/0.57  ; Run time in seconds excluding printing time:
% 0.40/0.57  ;     0.022  29%   Read assertion file          (1 call)
% 0.40/0.57  ;     0.004   5%   Assert                       (93 calls)
% 0.40/0.57  ;     0.005   7%   Process new row              (158 calls)
% 0.40/0.57  ;     0.005   7%   Resolution                   (46 calls)
% 0.40/0.57  ;     0.000   0%   Paramodulation               (23 calls)
% 0.40/0.57  ;     0.000   0%   Factoring                    (2 calls)
% 0.40/0.57  ;     0.002   3%   Condensing                   (111 calls)
% 0.40/0.57  ;     0.006   8%   Forward subsumption          (111 calls)
% 0.40/0.57  ;     0.000   0%   Backward subsumption         (94 calls)
% 0.40/0.57  ;     0.001   1%   Clause clause subsumption    (39 calls)
% 0.40/0.57  ;     0.007   9%   Forward simplification       (158 calls)
% 0.40/0.57  ;     0.000   0%   Backward simplification      (120 calls)
% 0.40/0.57  ;     0.000   0%   Ordering                     (126 calls)
% 0.40/0.57  ;     0.001   1%   Sortal reasoning             (32 calls)
% 0.40/0.57  ;     0.001   1%   Purity testing               (1 call)
% 0.40/0.57  ;     0.022  29%   Other
% 0.40/0.57  ;     0.076        Total
% 0.40/0.57  ;     0.078        Real time
% 0.40/0.57  ; 
% 0.40/0.57  ; Term-hash-array has 113 terms in all.
% 0.40/0.57  ; Feature-vector-row-index has 92 entries (94 at peak, 94 added, 2 deleted).
% 0.40/0.57  ; Feature-vector-row-index has 584 nodes (600 at peak, 600 added, 16 deleted).
% 0.40/0.57  ;  Retrieved 67 possibly forward subsuming rows in 111 calls.
% 0.40/0.57  ;  Retrieved 6 possibly backward subsumed rows in 94 calls.
% 0.40/0.57  ; Path-index has 110 entries (117 at peak, 117 added, 7 deleted).
% 0.40/0.57  ; Path-index has 244 nodes (251 at peak, 251 added, 7 deleted).
% 0.40/0.57  ; Trie-index has 110 entries (117 at peak, 117 added, 7 deleted).
% 0.40/0.57  ; Trie-index has 254 nodes (273 at peak, 273 added, 19 deleted).
% 0.40/0.57  ; Retrieved 124 generalization terms in 333 calls.
% 0.40/0.57  ; Retrieved 39 instance terms in 25 calls.
% 0.40/0.57  ; Retrieved 607 unifiable terms in 138 calls.
% 0.40/0.57  ; 
% 0.40/0.57  ; The agenda of backward simplifiable rows to process has 5 entries:
% 0.40/0.57  ;     5 with value 0
% 0.40/0.57  ; The agenda of input rows to give has 68 entries:
% 0.40/0.57  ;     2 with value 12              4 with value 20               6 with value 28
% 0.40/0.57  ;     4 with value 13              6 with value 21               5 with value 29
% 0.40/0.57  ;     4 with value 15              2 with value 22               3 with value 32
% 0.40/0.57  ;     1 with value 16              6 with value 25               2 with value 34
% 0.40/0.57  ;     7 with value 18              5 with value 26               3 with value 35
% 0.40/0.57  ;     5 with value 19              3 with value 27
% 0.40/0.57  ; The agenda of rows to give has 23 entries:
% 0.40/0.57  ;     5 with value (4 5)           1 with value (4 10)           1 with value (4 17)
% 0.40/0.57  ;     4 with value (4 7)           1 with value (4 12)           1 with value (4 19)
% 0.40/0.57  ;     5 with value (4 8)           2 with value (4 13)           1 with value (4 21)
% 0.40/0.57  ;     2 with value (4 9)
% 0.40/0.57  Evaluation took:
% 0.40/0.57    0.078 seconds of real time
% 0.40/0.57    0.071854 seconds of user run time
% 0.40/0.57    0.006878 seconds of system run time
% 0.40/0.57    0 calls to %EVAL
% 0.40/0.57    0 page faults and
% 0.40/0.57    4,028,880 bytes consed.
% 0.40/0.57  :PROOF-FOUND
% 0.40/0.57  ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-17T07:08:07
% 0.40/0.57  :PROOF-FOUND
% 0.40/0.57  * 
%------------------------------------------------------------------------------