TSTP Solution File: HWV018-1 by SNARK---20120808r022

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SNARK---20120808r022
% Problem  : HWV018-1 : TPTP v8.1.0. Released v2.5.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run-snark %s %d

% Computer : n015.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 19:10:39 EDT 2022

% Result   : Unsatisfiable 0.42s 0.57s
% Output   : Refutation 0.42s
% 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_22,axiom,
    ( int_level(X) != fifo_length
    | p_Full(X) ),
    file('/export/starexec/sandbox/benchmark/Axioms/HWV003-0.ax',axiom_22) ).

cnf(axiom_23,axiom,
    ( int_level(X) = fifo_length
    | ~ p_Full(X) ),
    file('/export/starexec/sandbox/benchmark/Axioms/HWV003-0.ax',axiom_23) ).

cnf(axiom_42,axiom,
    ( p_Reset(X)
    | ~ p_Wr(X)
    | p_Rd(X)
    | gt(fifo_length,int_level(X))
    | p_Wr_error(plus(X,n1)) ),
    file('/export/starexec/sandbox/benchmark/Axioms/HWV003-0.ax',axiom_42) ).

cnf(axiom_44,axiom,
    ( p_Reset(X)
    | ~ p_Wr(X)
    | p_Rd(X)
    | gt(fifo_length,int_level(X))
    | int_level(plus(X,n1)) = int_level(X) ),
    file('/export/starexec/sandbox/benchmark/Axioms/HWV003-0.ax',axiom_44) ).

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

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

cnf(quest_3,negated_conjecture,
    p_Full(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_Full(plus(t_139,n1))
    | ~ p_Wr_error(plus(t_139,n1)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',quest_5) ).

cnf(98,plain,
    int_level(t_139) = fifo_length,
    inference('HYPERRESOLVE',[status(thm)],[axiom_23,quest_3]) ).

cnf(159,plain,
    p_Wr_error(plus(t_139,n1)),
    inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[axiom_42,quest_2]),axiom_17,98,quest_1,quest_4,theory(equality)]) ).

cnf(160,plain,
    ~ p_Full(plus(t_139,n1)),
    inference('REWRITE',[status(thm)],[quest_5,159]) ).

cnf(163,plain,
    int_level(plus(t_139,n1)) != fifo_length,
    inference('UR-RESOLVE',[status(thm)],[axiom_22,160]) ).

cnf(172,plain,
    $false,
    inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[axiom_44,quest_2]),163,axiom_17,98,quest_1,quest_4,theory(equality)]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem  : HWV018-1 : TPTP v8.1.0. Released v2.5.0.
% 0.03/0.13  % Command  : run-snark %s %d
% 0.13/0.34  % Computer : n015.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 09:09:12 EDT 2022
% 0.13/0.34  % CPUTime  : 
% 0.21/0.46  /export/starexec/sandbox/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/sandbox/benchmark/theBenchmark.p 2022-06-17T09:09:12
% 0.21/0.47  ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n015.cluster.edu at 2022-06-17T09:09:12
% 0.21/0.51  
% 0.42/0.57  ; Recognized left identity assertion (= (|plus| |n0| ?X) ?X).
% 0.42/0.57  
% 0.42/0.57  #||
% 0.42/0.57  % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.42/0.57  % SZS output start Refutation
% See solution above
% 0.42/0.57  ||#
% 0.42/0.57  
% 0.42/0.57  ; Summary of computation:
% 0.42/0.57  ;       235 formulas have been input or derived (from 64 formulas).
% 0.42/0.57  ;       172 (73%) were retained.  Of these,
% 0.42/0.57  ;            7 ( 4%) were simplified or subsumed later,
% 0.42/0.57  ;          165 (96%) are still being kept.
% 0.42/0.57  ; 
% 0.42/0.57  ; Run time in seconds excluding printing time:
% 0.42/0.57  ;     0.022  22%   Read assertion file          (1 call)
% 0.42/0.57  ;     0.006   6%   Assert                       (95 calls)
% 0.42/0.57  ;     0.017  17%   Process new row              (224 calls)
% 0.42/0.57  ;     0.007   7%   Resolution                   (126 calls)
% 0.42/0.57  ;     0.001   1%   Paramodulation               (63 calls)
% 0.42/0.57  ;     0.000   0%   Factoring                    (6 calls)
% 0.42/0.57  ;     0.000   0%   Condensing                   (167 calls)
% 0.42/0.57  ;     0.003   3%   Forward subsumption          (167 calls)
% 0.42/0.57  ;     0.005   5%   Backward subsumption         (144 calls)
% 0.42/0.57  ;     0.002   2%   Clause clause subsumption    (64 calls)
% 0.42/0.57  ;     0.009   9%   Forward simplification       (223 calls)
% 0.42/0.57  ;     0.001   1%   Backward simplification      (172 calls)
% 0.42/0.57  ;     0.000   0%   Ordering                     (312 calls)
% 0.42/0.57  ;     0.000   0%   Sortal reasoning             (32 calls)
% 0.42/0.57  ;     0.000   0%   Purity testing               (1 call)
% 0.42/0.57  ;     0.025  26%   Other
% 0.42/0.57  ;     0.098        Total
% 0.42/0.57  ;     0.099        Real time
% 0.42/0.57  ; 
% 0.42/0.57  ; Term-hash-array has 178 terms in all.
% 0.42/0.57  ; Feature-vector-row-index has 138 entries (139 at peak, 144 added, 6 deleted).
% 0.42/0.57  ; Feature-vector-row-index has 873 nodes (875 at peak, 915 added, 42 deleted).
% 0.42/0.57  ;  Retrieved 102 possibly forward subsuming rows in 167 calls.
% 0.42/0.57  ;  Retrieved 19 possibly backward subsumed rows in 144 calls.
% 0.42/0.57  ; Path-index has 180 entries (180 at peak, 183 added, 3 deleted).
% 0.42/0.57  ; Path-index has 385 nodes (385 at peak, 391 added, 6 deleted).
% 0.42/0.57  ; Trie-index has 180 entries (180 at peak, 183 added, 3 deleted).
% 0.42/0.57  ; Trie-index has 417 nodes (417 at peak, 429 added, 12 deleted).
% 0.42/0.57  ; Retrieved 188 generalization terms in 623 calls.
% 0.42/0.57  ; Retrieved 45 instance terms in 27 calls.
% 0.42/0.57  ; Retrieved 1,743 unifiable terms in 482 calls.
% 0.42/0.57  ; 
% 0.42/0.57  ; The agenda of rows to process has 2 entries:
% 0.42/0.57  ;     1 with value 23              1 with value 33
% 0.42/0.57  ; The agenda of input rows to give has 31 entries:
% 0.42/0.57  ;     4 with value 25              6 with value 28               2 with value 34
% 0.42/0.57  ;     5 with value 26              5 with value 29               3 with value 35
% 0.42/0.57  ;     3 with value 27              3 with value 32
% 0.42/0.57  ; The agenda of rows to give has 74 entries:
% 0.42/0.57  ;     4 with value (4 5)           1 with value (4 14)           5 with value (4 23)
% 0.42/0.57  ;     4 with value (4 7)           3 with value (4 15)           2 with value (4 27)
% 0.42/0.57  ;     4 with value (4 8)           3 with value (4 16)           2 with value (4 28)
% 0.42/0.57  ;     1 with value (4 9)           4 with value (4 17)           1 with value (4 29)
% 0.42/0.57  ;     2 with value (4 10)          7 with value (4 18)           2 with value (4 30)
% 0.42/0.57  ;     4 with value (4 11)          4 with value (4 19)           3 with value (4 31)
% 0.42/0.57  ;     5 with value (4 12)          4 with value (4 21)           2 with value (4 35)
% 0.42/0.57  ;     7 with value (4 13)
% 0.42/0.57  Evaluation took:
% 0.42/0.57    0.099 seconds of real time
% 0.42/0.57    0.089353 seconds of user run time
% 0.42/0.57    0.010303 seconds of system run time
% 0.42/0.57    0 calls to %EVAL
% 0.42/0.57    0 page faults and
% 0.42/0.57    5,126,024 bytes consed.
% 0.42/0.57  :PROOF-FOUND
% 0.42/0.57  ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-17T09:09:12
% 0.42/0.57  :PROOF-FOUND
% 0.42/0.57  * 
%------------------------------------------------------------------------------