TSTP Solution File: HWV010-1 by SNARK---20120808r022

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SNARK---20120808r022
% Problem  : HWV010-1 : 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 19:10:34 EDT 2022

% Result   : Unsatisfiable 0.19s 0.54s
% Output   : Refutation 0.19s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    4
%            Number of leaves      :    5
% Syntax   : Number of clauses     :   10 (   4 unt;   2 nHn;   9 RR)
%            Number of literals    :   16 (   8 equ;   7 neg)
%            Maximal clause size   :    2 (   1 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    3 (   1 usr;   1 prp; 0-2 aty)
%            Number of functors    :    4 (   4 usr;   2 con; 0-1 aty)
%            Number of variables   :    3 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(axiom_21,axiom,
    level(X) = int_level(X),
    file('/export/starexec/sandbox2/benchmark/Axioms/HWV003-0.ax',axiom_21) ).

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

cnf(axiom_25,axiom,
    ( int_level(X) = n0
    | ~ p_Empty(X) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/HWV003-0.ax',axiom_25) ).

cnf(quest_1,negated_conjecture,
    ( ~ p_Empty(t_139)
    | level(t_139) != n0 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',quest_1) ).

cnf(90,plain,
    ( ~ p_Empty(t_139)
    | int_level(t_139) != n0 ),
    inference('REWRITE',[status(thm)],[quest_1,axiom_21,theory(equality)]) ).

cnf(quest_2,negated_conjecture,
    ( p_Empty(t_139)
    | level(t_139) = n0 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',quest_2) ).

cnf(92,plain,
    ( p_Empty(t_139)
    | int_level(t_139) = n0 ),
    inference('REWRITE',[status(thm)],[quest_2,axiom_21,theory(equality)]) ).

cnf(99,plain,
    int_level(t_139) = n0,
    inference('HYPERRESOLVE',[status(thm)],[axiom_25,92]) ).

cnf(100,plain,
    ~ p_Empty(t_139),
    inference('REWRITE',[status(thm)],[90,99,theory(equality)]) ).

cnf(101,plain,
    $false,
    inference('REWRITE',[status(thm)],[inference('UR-RESOLVE',[status(thm)],[axiom_24,100]),99,theory(equality)]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem  : HWV010-1 : TPTP v8.1.0. Released v2.5.0.
% 0.12/0.13  % Command  : run-snark %s %d
% 0.12/0.34  % Computer : n021.cluster.edu
% 0.12/0.34  % Model    : x86_64 x86_64
% 0.12/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34  % Memory   : 8042.1875MB
% 0.12/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34  % CPULimit : 300
% 0.12/0.34  % WCLimit  : 600
% 0.12/0.34  % DateTime : Fri Jun 17 07:41:00 EDT 2022
% 0.12/0.34  % CPUTime  : 
% 0.19/0.45  /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.19/0.46  * 
% 0.19/0.46  * 
% 0.19/0.47  #<PACKAGE "SNARK-USER">
% 0.19/0.47  * 
% 0.19/0.47  SNARK-TPTP-OPTIONS
% 0.19/0.47  * 
% 0.19/0.47  ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.19/0.47   (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.19/0.47   (USE-FACTORING :POS)
% 0.19/0.47   (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.19/0.47   (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.19/0.47   (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.19/0.47   (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.19/0.47   (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.19/0.47   (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.19/0.47   (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.19/0.47   (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.19/0.47   (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.19/0.47   (DECLARE-TPTP-SYMBOLS2))
% 0.19/0.47  * 
% 0.19/0.47  "."
% 0.19/0.47  * 
% 0.19/0.47  ; Begin refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-06-17T07:41:01
% 0.19/0.47  ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n021.cluster.edu at 2022-06-17T07:41:01
% 0.19/0.50  
% 0.19/0.54  ; Recognized left identity assertion (= (|plus| |n0| ?X) ?X).
% 0.19/0.54  
% 0.19/0.54  #||
% 0.19/0.54  % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.19/0.54  % SZS output start Refutation
% See solution above
% 0.19/0.54  ||#
% 0.19/0.54  
% 0.19/0.54  ; Summary of computation:
% 0.19/0.54  ;       113 formulas have been input or derived (from 18 formulas).
% 0.19/0.54  ;       101 (89%) were retained.  Of these,
% 0.19/0.54  ;            4 ( 4%) were simplified or subsumed later,
% 0.19/0.54  ;           97 (96%) are still being kept.
% 0.19/0.54  ; 
% 0.19/0.54  ; Run time in seconds excluding printing time:
% 0.19/0.54  ;     0.023  33%   Read assertion file          (1 call)
% 0.19/0.54  ;     0.005   7%   Assert                       (92 calls)
% 0.19/0.54  ;     0.004   6%   Process new row              (110 calls)
% 0.19/0.54  ;     0.001   1%   Resolution                   (34 calls)
% 0.19/0.54  ;     0.000   0%   Paramodulation               (17 calls)
% 0.19/0.54  ;     0.000   0%   Factoring                    (2 calls)
% 0.19/0.54  ;     0.002   3%   Condensing                   (88 calls)
% 0.19/0.54  ;     0.006   9%   Forward subsumption          (88 calls)
% 0.19/0.54  ;     0.001   1%   Backward subsumption         (87 calls)
% 0.19/0.54  ;     0.000   0%   Clause clause subsumption    (4 calls)
% 0.19/0.54  ;     0.005   7%   Forward simplification       (110 calls)
% 0.19/0.54  ;     0.000   0%   Backward simplification      (99 calls)
% 0.19/0.54  ;     0.000   0%   Ordering                     (94 calls)
% 0.19/0.54  ;     0.000   0%   Sortal reasoning             (32 calls)
% 0.19/0.54  ;     0.000   0%   Purity testing               (1 call)
% 0.19/0.54  ;     0.022  32%   Other
% 0.19/0.54  ;     0.069        Total
% 0.19/0.54  ;     0.072        Real time
% 0.19/0.54  ; 
% 0.19/0.54  ; Term-hash-array has 86 terms in all.
% 0.19/0.54  ; Feature-vector-row-index has 85 entries (87 at peak, 87 added, 2 deleted).
% 0.19/0.54  ; Feature-vector-row-index has 563 nodes (578 at peak, 578 added, 15 deleted).
% 0.19/0.54  ;  Retrieved 23 possibly forward subsuming rows in 88 calls.
% 0.19/0.54  ;  Retrieved 2 possibly backward subsumed rows in 87 calls.
% 0.19/0.54  ; Path-index has 90 entries (90 at peak, 91 added, 1 deleted).
% 0.19/0.54  ; Path-index has 213 nodes (213 at peak, 214 added, 1 deleted).
% 0.19/0.54  ; Trie-index has 90 entries (90 at peak, 91 added, 1 deleted).
% 0.19/0.54  ; Trie-index has 217 nodes (217 at peak, 218 added, 1 deleted).
% 0.19/0.54  ; Retrieved 58 generalization terms in 204 calls.
% 0.19/0.54  ; Retrieved 24 instance terms in 11 calls.
% 0.19/0.54  ; Retrieved 293 unifiable terms in 78 calls.
% 0.19/0.54  ; 
% 0.19/0.54  ; The agenda of input rows to give has 74 entries:
% 0.19/0.54  ;     1 with value 10              5 with value 19               3 with value 27
% 0.19/0.54  ;     2 with value 11              4 with value 20               6 with value 28
% 0.19/0.54  ;     5 with value 12              6 with value 21               5 with value 29
% 0.19/0.54  ;     4 with value 13              2 with value 22               3 with value 32
% 0.19/0.54  ;     4 with value 15              6 with value 25               2 with value 34
% 0.19/0.54  ;     1 with value 16              5 with value 26               3 with value 35
% 0.19/0.54  ;     7 with value 18
% 0.19/0.54  ; The agenda of rows to give has 7 entries:
% 0.19/0.54  ;     3 with value (4 5)           3 with value (4 7)            1 with value (4 8)
% 0.19/0.54  Evaluation took:
% 0.19/0.54    0.072 seconds of real time
% 0.19/0.54    0.066041 seconds of user run time
% 0.19/0.54    0.006095 seconds of system run time
% 0.19/0.54    0 calls to %EVAL
% 0.19/0.54    0 page faults and
% 0.19/0.54    3,553,480 bytes consed.
% 0.19/0.54  :PROOF-FOUND
% 0.19/0.54  ; End refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-06-17T07:41:01
% 0.19/0.54  :PROOF-FOUND
% 0.19/0.54  * 
%------------------------------------------------------------------------------