TSTP Solution File: SWV353-2 by SNARK---20120808r022

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SNARK---20120808r022
% Problem  : SWV353-2 : TPTP v8.1.0. Released v3.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run-snark %s %d

% Computer : n016.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 21:32:59 EDT 2022

% Result   : Unsatisfiable 0.20s 0.51s
% Output   : Refutation 0.20s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    3
%            Number of leaves      :    7
% Syntax   : Number of clauses     :   11 (   8 unt;   1 nHn;  11 RR)
%            Number of literals    :   18 (   4 equ;  10 neg)
%            Maximal clause size   :    5 (   1 avg)
%            Maximal term depth    :    8 (   2 avg)
%            Number of predicates  :    3 (   1 usr;   1 prp; 0-3 aty)
%            Number of functors    :   27 (  27 usr;  15 con; 0-3 aty)
%            Number of variables   :   25 (  16 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(cls_conjecture_2,negated_conjecture,
    c_in(v_evso,c_Yahalom_Oyahalom,tc_List_Olist(tc_Event_Oevent)),
    file('/export/starexec/sandbox/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_NAa),c_Message_Omsg_ONonce(v_NB))))),v_X)),c_List_Oset(v_evso,tc_Event_Oevent),tc_Event_Oevent),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_3) ).

cnf(cls_conjecture_5,negated_conjecture,
    c_in(c_Event_Oevent_OSays(v_B,c_Message_Oagent_OServer,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_B),c_Message_Omsg_OCrypt(c_Public_OshrK(v_B),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NA),c_Message_Omsg_ONonce(v_NB)))))),c_List_Oset(v_evso,tc_Event_Oevent),tc_Event_Oevent),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_5) ).

cnf(cls_conjecture_6,negated_conjecture,
    ~ c_in(c_Message_Omsg_ONonce(v_NB),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evso)),tc_Message_Omsg),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_6) ).

cnf(cls_conjecture_8,negated_conjecture,
    ( X != c_Message_Omsg_OKey(v_K)
    | v_NA != v_NAa ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_8) ).

cnf(cls_Yahalom_OSays__Server__imp__YM2_0,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(U,c_Message_Omsg_OMPair(V,W)))),X1)),c_List_Oset(X,tc_Event_Oevent),tc_Event_Oevent)
    | c_in(c_Event_Oevent_OGets(c_Message_Oagent_OServer,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(Z),c_Message_Omsg_OCrypt(c_Public_OshrK(Z),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(Y),c_Message_Omsg_OMPair(V,W))))),c_List_Oset(X,tc_Event_Oevent),tc_Event_Oevent) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Yahalom_OSays__Server__imp__YM2_0) ).

cnf(cls_Yahalom_OSays__unique__NB_0,axiom,
    ( ~ c_in(X,c_Yahalom_Oyahalom,tc_List_Olist(tc_Event_Oevent))
    | ~ c_in(c_Event_Oevent_OGets(Y,c_Message_Omsg_OMPair(Z,c_Message_Omsg_OCrypt(c_Public_OshrK(U),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(V),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(W),X1))))),c_List_Oset(X,tc_Event_Oevent),tc_Event_Oevent)
    | ~ c_in(c_Event_Oevent_OSays(Y1,Z1,c_Message_Omsg_OMPair(U1,c_Message_Omsg_OCrypt(c_Public_OshrK(V1),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(W1),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(X2),X1))))),c_List_Oset(X,tc_Event_Oevent),tc_Event_Oevent)
    | c_in(X1,c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,X)),tc_Message_Omsg)
    | W = X2 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Yahalom_OSays__unique__NB_0) ).

cnf(8,plain,
    v_NA != v_NAa,
    inference('UR-RESOLVE',[status(thm)],[cls_conjecture_8,theory(equality)]) ).

cnf(9,plain,
    c_in(c_Event_Oevent_OGets(c_Message_Oagent_OServer,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Ba),c_Message_Omsg_OCrypt(c_Public_OshrK(v_Ba),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NAa),c_Message_Omsg_ONonce(v_NB)))))),c_List_Oset(v_evso,tc_Event_Oevent),tc_Event_Oevent),
    inference('HYPERRESOLVE',[status(thm)],[cls_Yahalom_OSays__Server__imp__YM2_0,cls_conjecture_2,cls_conjecture_3]) ).

cnf(10,plain,
    ~ c_in(c_Event_Oevent_OGets(X,c_Message_Omsg_OMPair(Y,c_Message_Omsg_OCrypt(c_Public_OshrK(Z),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(U),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NAa),c_Message_Omsg_ONonce(v_NB)))))),c_List_Oset(v_evso,tc_Event_Oevent),tc_Event_Oevent),
    inference('UR-RESOLVE',[status(thm)],[cls_Yahalom_OSays__unique__NB_0,8,cls_conjecture_2,cls_conjecture_5,cls_conjecture_6]) ).

cnf(11,plain,
    $false,
    inference('REWRITE',[status(thm)],[9,10]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : SWV353-2 : TPTP v8.1.0. Released v3.2.0.
% 0.07/0.13  % Command  : run-snark %s %d
% 0.13/0.34  % Computer : n016.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 : Wed Jun 15 02:30:32 EDT 2022
% 0.13/0.34  % CPUTime  : 
% 0.20/0.46  /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.20/0.47  * 
% 0.20/0.47  * 
% 0.20/0.48  #<PACKAGE "SNARK-USER">
% 0.20/0.48  * 
% 0.20/0.48  SNARK-TPTP-OPTIONS
% 0.20/0.48  * 
% 0.20/0.48  ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.20/0.48   (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.20/0.48   (USE-FACTORING :POS)
% 0.20/0.48   (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.20/0.48   (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.20/0.48   (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.20/0.48   (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.20/0.48   (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.20/0.48   (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.20/0.48   (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.20/0.48   (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.20/0.48   (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.20/0.48   (DECLARE-TPTP-SYMBOLS2))
% 0.20/0.48  * 
% 0.20/0.48  "."
% 0.20/0.48  * 
% 0.20/0.48  ; Begin refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-15T02:30:32
% 0.20/0.48  ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n016.cluster.edu at 2022-06-15T02:30:32
% 0.20/0.51  
% 0.20/0.51  
% 0.20/0.51  #||
% 0.20/0.51  % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.20/0.51  % SZS output start Refutation
% See solution above
% 0.20/0.51  ||#
% 0.20/0.51  
% 0.20/0.51  ; Summary of computation:
% 0.20/0.51  ;        12 formulas have been input or derived (from 9 formulas).
% 0.20/0.51  ;        11 (92%) were retained.  Of these,
% 0.20/0.51  ;            2 (18%) were simplified or subsumed later,
% 0.20/0.51  ;            9 (82%) are still being kept.
% 0.20/0.51  ; 
% 0.20/0.51  ; Run time in seconds excluding printing time:
% 0.20/0.51  ;     0.003  10%   Read assertion file          (1 call)
% 0.20/0.51  ;     0.001   3%   Assert                       (7 calls)
% 0.20/0.51  ;     0.003  10%   Process new row              (11 calls)
% 0.20/0.51  ;     0.001   3%   Resolution                   (16 calls)
% 0.20/0.51  ;     0.000   0%   Paramodulation               (8 calls)
% 0.20/0.51  ;     0.000   0%   Condensing                   (3 calls)
% 0.20/0.51  ;     0.000   0%   Forward subsumption          (3 calls)
% 0.20/0.51  ;     0.000   0%   Backward subsumption         (3 calls)
% 0.20/0.51  ;     0.000   0%   Forward simplification       (11 calls)
% 0.20/0.51  ;     0.000   0%   Backward simplification      (11 calls)
% 0.20/0.51  ;     0.000   0%   Ordering                     (1 call)
% 0.20/0.51  ;     0.000   0%   Sortal reasoning             (32 calls)
% 0.20/0.51  ;     0.000   0%   Purity testing               (1 call)
% 0.20/0.51  ;     0.023  74%   Other
% 0.20/0.51  ;     0.031        Total
% 0.20/0.51  ;     0.033        Real time
% 0.20/0.51  ; 
% 0.20/0.51  ; Term-hash-array has 83 terms in all.
% 0.20/0.51  ; Feature-vector-row-index has 2 entries (3 at peak, 3 added, 1 deleted).
% 0.20/0.51  ; Feature-vector-row-index has 67 nodes (74 at peak, 74 added, 7 deleted).
% 0.20/0.51  ;  Retrieved 0 possibly forward subsuming rows in 3 calls.
% 0.20/0.51  ;  Retrieved 0 possibly backward subsumed rows in 3 calls.
% 0.20/0.51  ; Path-index has 90 entries (97 at peak, 98 added, 8 deleted).
% 0.20/0.51  ; Path-index has 405 nodes (418 at peak, 419 added, 14 deleted).
% 0.20/0.51  ; Trie-index has 90 entries (97 at peak, 98 added, 8 deleted).
% 0.20/0.51  ; Trie-index has 437 nodes (493 at peak, 495 added, 58 deleted).
% 0.20/0.51  ; Retrieved 0 generalization terms in 12 calls.
% 0.20/0.51  ; Retrieved 8 instance terms in 7 calls.
% 0.20/0.51  ; Retrieved 49 unifiable terms in 134 calls.
% 0.20/0.51  ; 
% 0.20/0.51  ; The agenda of rows to give has 1 entry:
% 0.20/0.51  ;     1 with value (4 29)
% 0.20/0.51  Evaluation took:
% 0.20/0.51    0.033 seconds of real time
% 0.20/0.51    0.027999 seconds of user run time
% 0.20/0.51    0.005013 seconds of system run time
% 0.20/0.51    0 calls to %EVAL
% 0.20/0.51    0 page faults and
% 0.20/0.51    2,804,728 bytes consed.
% 0.20/0.51  :PROOF-FOUND
% 0.20/0.51  ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-15T02:30:32
% 0.20/0.51  :PROOF-FOUND
% 0.20/0.51  * 
%------------------------------------------------------------------------------