TSTP Solution File: SWV346-2 by SNARK---20120808r022

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SNARK---20120808r022
% Problem  : SWV346-2 : TPTP v8.1.0. Released v3.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run-snark %s %d

% Computer : n009.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 21:32:56 EDT 2022

% Result   : Unsatisfiable 0.19s 0.50s
% Output   : Refutation 0.19s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    1
%            Number of leaves      :    5
% Syntax   : Number of clauses     :    6 (   5 unt;   0 nHn;   6 RR)
%            Number of literals    :    9 (   2 equ;   4 neg)
%            Maximal clause size   :    4 (   1 avg)
%            Maximal term depth    :    8 (   2 avg)
%            Number of predicates  :    3 (   1 usr;   1 prp; 0-3 aty)
%            Number of functors    :   23 (  23 usr;  14 con; 0-3 aty)
%            Number of variables   :   12 (   6 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(cls_Yahalom_Ounique__session__keys__dest_2,axiom,
    ( ~ c_in(X,c_Yahalom_Oyahalom,tc_List_Olist(tc_Event_Oevent))
    | ~ c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,Y,c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(Y),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(Z),c_Message_Omsg_OMPair(c_Message_Omsg_OKey(U),c_Message_Omsg_OMPair(V,W)))),X1)),c_List_Oset(X,tc_Event_Oevent),tc_Event_Oevent)
    | ~ c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,Y1,c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(Y1),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(Z1),c_Message_Omsg_OMPair(c_Message_Omsg_OKey(U),c_Message_Omsg_OMPair(U1,V1)))),W1)),c_List_Oset(X,tc_Event_Oevent),tc_Event_Oevent)
    | U1 = V ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Yahalom_Ounique__session__keys__dest_2) ).

cnf(cls_conjecture_2,negated_conjecture,
    c_in(v_evso,c_Yahalom_Oyahalom,tc_List_Olist(tc_Event_Oevent)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_2) ).

cnf(cls_conjecture_3,negated_conjecture,
    c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,v_Aa,c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(v_Aa),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Ba),c_Message_Omsg_OMPair(c_Message_Omsg_OKey(v_K),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NA),c_Message_Omsg_ONonce(v_NB))))),v_X)),c_List_Oset(v_evso,tc_Event_Oevent),tc_Event_Oevent),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_3) ).

cnf(cls_conjecture_4,negated_conjecture,
    c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,v_A,c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(v_A),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_B),c_Message_Omsg_OMPair(c_Message_Omsg_OKey(v_K),c_Message_Omsg_OMPair(v_na,v_nb)))),c_Message_Omsg_OCrypt(c_Public_OshrK(v_B),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OKey(v_K))))),c_List_Oset(v_evso,tc_Event_Oevent),tc_Event_Oevent),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_4) ).

cnf(cls_conjecture_7,negated_conjecture,
    v_na != c_Message_Omsg_ONonce(v_NA),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_7) ).

cnf(6,plain,
    $false,
    inference('UR-RESOLVE',[status(thm)],[cls_Yahalom_Ounique__session__keys__dest_2,cls_conjecture_2,cls_conjecture_3,cls_conjecture_4,cls_conjecture_7]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem  : SWV346-2 : TPTP v8.1.0. Released v3.2.0.
% 0.03/0.13  % Command  : run-snark %s %d
% 0.12/0.34  % Computer : n009.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 : Wed Jun 15 00:08:23 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 2022-06-15T00:08:23
% 0.19/0.47  ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n009.cluster.edu at 2022-06-15T00:08:23
% 0.19/0.50  
% 0.19/0.50  
% 0.19/0.50  #||
% 0.19/0.50  % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.19/0.50  % SZS output start Refutation
% See solution above
% 0.19/0.50  ||#
% 0.19/0.50  
% 0.19/0.50  ; Summary of computation:
% 0.19/0.50  ;        21 formulas have been input or derived (from 6 formulas).
% 0.19/0.50  ;         6 (29%) were retained.  Of these,
% 0.19/0.50  ;            6 (100%) are still being kept.
% 0.19/0.50  ; 
% 0.19/0.50  ; Run time in seconds excluding printing time:
% 0.19/0.50  ;     0.002   7%   Read assertion file          (1 call)
% 0.19/0.50  ;     0.000   0%   Assert                       (5 calls)
% 0.19/0.50  ;     0.002   7%   Process new row              (6 calls)
% 0.19/0.50  ;     0.000   0%   Resolution                   (10 calls)
% 0.19/0.50  ;     0.002   7%   Paramodulation               (5 calls)
% 0.19/0.50  ;     0.000   0%   Condensing                   (1 call)
% 0.19/0.50  ;     0.000   0%   Forward subsumption          (1 call)
% 0.19/0.50  ;     0.000   0%   Backward subsumption         (1 call)
% 0.19/0.50  ;     0.001   4%   Forward simplification       (6 calls)
% 0.19/0.50  ;     0.000   0%   Backward simplification      (6 calls)
% 0.19/0.50  ;     0.000   0%   Ordering                     (1 call)
% 0.19/0.50  ;     0.000   0%   Sortal reasoning             (32 calls)
% 0.19/0.50  ;     0.000   0%   Purity testing               (1 call)
% 0.19/0.50  ;     0.021  75%   Other
% 0.19/0.50  ;     0.028        Total
% 0.19/0.50  ;     0.030        Real time
% 0.19/0.50  ; 
% 0.19/0.50  ; Term-hash-array has 51 terms in all.
% 0.19/0.50  ; Feature-vector-row-index has 1 entry (1 at peak, 1 added, 0 deleted).
% 0.19/0.50  ; Feature-vector-row-index has 30 nodes (30 at peak, 30 added, 0 deleted).
% 0.19/0.50  ;  Retrieved 0 possibly forward subsuming rows in 1 call.
% 0.19/0.50  ;  Retrieved 0 possibly backward subsumed rows in 1 call.
% 0.19/0.50  ; Path-index has 65 entries (65 at peak, 65 added, 0 deleted).
% 0.19/0.50  ; Path-index has 297 nodes (297 at peak, 297 added, 0 deleted).
% 0.19/0.50  ; Trie-index has 65 entries (65 at peak, 65 added, 0 deleted).
% 0.19/0.50  ; Trie-index has 310 nodes (310 at peak, 310 added, 0 deleted).
% 0.19/0.50  ; Retrieved 0 generalization terms in 2 calls.
% 0.19/0.50  ; Retrieved 4 instance terms in 4 calls.
% 0.19/0.50  ; Retrieved 53 unifiable terms in 109 calls.
% 0.19/0.50  ; 
% 0.19/0.50  ; The agenda of rows to process has 9 entries:
% 0.19/0.50  ;     1 with value 5               3 with value 8                2 with value 32
% 0.19/0.50  ;     1 with value 7               2 with value 30
% 0.19/0.50  Evaluation took:
% 0.19/0.50    0.03 seconds of real time
% 0.19/0.50    0.024205 seconds of user run time
% 0.19/0.50    0.005901 seconds of system run time
% 0.19/0.50    0 calls to %EVAL
% 0.19/0.50    0 page faults and
% 0.19/0.50    2,079,456 bytes consed.
% 0.19/0.50  :PROOF-FOUND
% 0.19/0.50  ; End refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-06-15T00:08:23
% 0.19/0.50  :PROOF-FOUND
% 0.19/0.50  * 
%------------------------------------------------------------------------------