TSTP Solution File: SWV236+1 by SNARK---20120808r022

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SNARK---20120808r022
% Problem  : SWV236+1 : TPTP v8.1.0. Released v3.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run-snark %s %d

% Computer : n004.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 : Wed Jul 20 21:32:15 EDT 2022

% Result   : Theorem 0.70s 0.92s
% Output   : Refutation 0.70s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    2
%            Number of leaves      :    8
% Syntax   : Number of clauses     :   11 (   8 unt;   0 nHn;   9 RR)
%            Number of literals    :   16 (   2 equ;   7 neg)
%            Maximal clause size   :    3 (   1 avg)
%            Maximal term depth    :    4 (   1 avg)
%            Number of predicates  :    3 (   1 usr;   1 prp; 0-2 aty)
%            Number of functors    :    7 (   7 usr;   5 con; 0-2 aty)
%            Number of variables   :    7 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(2,axiom,
    xor(X,id) = X,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',xor_rules_1) ).

cnf(3,axiom,
    xor(X,X) = id,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',xor_rules_2) ).

cnf(7,axiom,
    ( ~ p(X)
    | ~ p(Y)
    | p(crypt(xor(km,xor(kp,Y)),X)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',key_part_import___part_1) ).

cnf(13,axiom,
    ( ~ p(X)
    | ~ p(Y)
    | p(xor(X,Y)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',combine_with_XOR) ).

cnf(17,axiom,
    p(kp),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',initial_knowledge_of_intruder_1) ).

cnf(25,axiom,
    p(exp),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',initial_knowledge_of_intruder_9) ).

cnf(26,axiom,
    p(a),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',an_account_number) ).

cnf(27,negated_conjecture,
    ( ~ p(crypt(xor(km,exp),X))
    | ~ p(X) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',find_known_exporter) ).

cnf(40,plain,
    p(xor(kp,exp)),
    inference('HYPERRESOLVE',[status(thm)],[13,17,25]) ).

cnf(165,plain,
    ~ p(crypt(xor(km,exp),a)),
    inference('UR-RESOLVE',[status(thm)],[27,26]) ).

cnf(1269,plain,
    $false,
    inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[7,40,26]),165,2,3,theory(equality)]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem  : SWV236+1 : TPTP v8.1.0. Released v3.2.0.
% 0.03/0.13  % Command  : run-snark %s %d
% 0.12/0.34  % Computer : n004.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 : Tue Jun 14 22:15:39 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 2022-06-14T22:15:39
% 0.19/0.47  ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n004.cluster.edu at 2022-06-14T22:15:39
% 0.19/0.48  
% 0.19/0.48  ; Recognized commutativity assertion (= (|xor| ?X ?Y) (|xor| ?Y ?X)).
% 0.19/0.48  ; Recognized associativity assertion (= (|xor| ?X (|xor| ?Y ?Z)) (|xor| (|xor| ?X ?Y) ?Z)).
% 0.19/0.49  ; Recognized right identity assertion (= (|xor| ?X |id|) ?X).
% 0.19/0.49  ; Declaring xor to be commutative.
% 0.70/0.92  ; Declaring xor to be associative-commutative.
% 0.70/0.92  
% 0.70/0.92  #||
% 0.70/0.92  % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.70/0.92  % SZS output start Refutation
% See solution above
% 0.70/0.92  ||#
% 0.70/0.92  
% 0.70/0.92  ; Summary of computation:
% 0.70/0.92  ;      3572 formulas have been input or derived (from 42 formulas).
% 0.70/0.92  ;      1269 (36%) were retained.  Of these,
% 0.70/0.92  ;            1 ( 0%) were simplified or subsumed later,
% 0.70/0.92  ;         1268 (100%) are still being kept.
% 0.70/0.92  ; 
% 0.70/0.92  ; Run time in seconds:
% 0.70/0.92  ;     0.006   1%   Read assertion file          (1 call)
% 0.70/0.92  ;     0.001   0%   Assert                       (28 calls)
% 0.70/0.92  ;     0.095  21%   Process new row              (3,436 calls)
% 0.70/0.92  ;     0.149  33%   Resolution                   (82 calls)
% 0.70/0.92  ;     0.006   1%   Paramodulation               (41 calls)
% 0.70/0.92  ;     0.000   0%   Embedding                    (2 calls)
% 0.70/0.92  ;     0.003   1%   Condensing                   (62 calls)
% 0.70/0.92  ;     0.002   0%   Forward subsumption          (62 calls)
% 0.70/0.92  ;     0.000   0%   Backward subsumption         (34 calls)
% 0.70/0.92  ;     0.003   1%   Clause clause subsumption    (98 calls)
% 0.70/0.92  ;     0.133  30%   Forward simplification       (3,425 calls)
% 0.70/0.92  ;     0.020   4%   Backward simplification      (1,268 calls)
% 0.70/0.92  ;     0.000   0%   Ordering                     (109 calls)
% 0.70/0.92  ;     0.000   0%   Ordering ac                  (5 calls)
% 0.70/0.92  ;     0.000   0%   Sortal reasoning             (32 calls)
% 0.70/0.92  ;     0.000   0%   Purity testing               (1 call)
% 0.70/0.92  ;     0.031   7%   Other
% 0.70/0.92  ;     0.449        Total
% 0.70/0.92  ;     0.450        Real time
% 0.70/0.92  ; 
% 0.70/0.92  ; Term-hash-array has 2,589 terms in all.
% 0.70/0.92  ; Feature-vector-row-index has 33 entries (33 at peak, 34 added, 1 deleted).
% 0.70/0.92  ; Feature-vector-row-index has 322 nodes (323 at peak, 337 added, 15 deleted).
% 0.70/0.92  ;  Retrieved 140 possibly forward subsuming rows in 62 calls.
% 0.70/0.92  ;  Retrieved 22 possibly backward subsumed rows in 34 calls.
% 0.70/0.92  ; Path-index has 2,589 entries (2,589 at peak, 2,599 added, 10 deleted).
% 0.70/0.92  ; Path-index has 305 nodes (305 at peak, 308 added, 3 deleted).
% 0.70/0.92  ; Trie-index has 2,589 entries (2,589 at peak, 2,599 added, 10 deleted).
% 0.70/0.92  ; Trie-index has 442 nodes (442 at peak, 448 added, 6 deleted).
% 0.70/0.92  ; Retrieved 211,352 generalization terms in 8,033 calls.
% 0.70/0.92  ; Retrieved 1,764 instance terms in 1,233 calls.
% 0.70/0.92  ; Retrieved 303,917 unifiable terms in 5,710 calls.
% 0.70/0.92  ; 
% 0.70/0.92  ; The agenda of rows to process has 108 entries:
% 0.70/0.92  ;    20 with value 15             52 with value 17               6 with value 21
% 0.70/0.92  ;    24 with value 16              6 with value 20
% 0.70/0.92  ; The agenda of rows to give has 1227 entries:
% 0.70/0.92  ;    73 with value (4 7)         118 with value (4 16)           2 with value (4 25)
% 0.70/0.92  ;     9 with value (4 8)         135 with value (4 17)           1 with value (4 27)
% 0.70/0.92  ;    37 with value (4 10)         21 with value (4 18)           2 with value (4 28)
% 0.70/0.92  ;   255 with value (4 11)          1 with value (4 19)           1 with value (4 29)
% 0.70/0.92  ;    50 with value (4 12)         27 with value (4 20)           2 with value (4 30)
% 0.70/0.92  ;   302 with value (4 13)         37 with value (4 21)           1 with value (4 32)
% 0.70/0.92  ;     3 with value (4 14)         13 with value (4 22)           1 with value (4 33)
% 0.70/0.92  ;   134 with value (4 15)          1 with value (4 24)           1 with value (4 35)
% 0.70/0.92  Evaluation took:
% 0.70/0.92    0.451 seconds of real time
% 0.70/0.92    0.4294 seconds of user run time
% 0.70/0.92    0.021231 seconds of system run time
% 0.70/0.92    [Run times include 0.01 seconds GC run time.]
% 0.70/0.92    0 calls to %EVAL
% 0.70/0.92    0 page faults and
% 0.70/0.92    22,625,248 bytes consed.
% 0.70/0.92  :PROOF-FOUND
% 0.70/0.92  ; End refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-06-14T22:15:39
% 0.70/0.92  :PROOF-FOUND
% 0.70/0.92  * 
%------------------------------------------------------------------------------