%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : SWV354-2 : TPTP v8.1.0. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n006.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 0.21s 0.54s
% Output : Refutation 0.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 10
% Syntax : Number of clauses : 20 ( 12 unt; 3 nHn; 20 RR)
% Number of literals : 37 ( 13 equ; 20 neg)
% Maximal clause size : 6 ( 1 avg)
% Maximal term depth : 8 ( 2 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-3 aty)
% Number of functors : 30 ( 30 usr; 16 con; 0-3 aty)
% Number of variables : 52 ( 34 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(cls_Yahalom_Osingle__Nonce__secrecy_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(c_Message_Omsg_OKey(U),c_Message_Omsg_OMPair(V,c_Message_Omsg_ONonce(W))))),X1)),c_List_Oset(X,tc_Event_Oevent),tc_Event_Oevent)
| ~ c_in(c_Message_Omsg_ONonce(Y1),c_Message_Oanalz(c_insert(c_Message_Omsg_OKey(U),c_Event_Oknows(c_Message_Oagent_OSpy,X),tc_Message_Omsg)),tc_Message_Omsg)
| c_in(c_Message_Omsg_ONonce(Y1),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,X)),tc_Message_Omsg)
| Y1 = W
| U = c_Public_OshrK(v_sko__2VY(U)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Yahalom_Osingle__Nonce__secrecy_0) ).
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(cls_Yahalom_OSays__Server__not__shrK_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(c_Message_Omsg_OKey(c_Public_OshrK(U)),c_Message_Omsg_OMPair(V,W)))),X1)),c_List_Oset(X,tc_Event_Oevent),tc_Event_Oevent) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Yahalom_OSays__Server__not__shrK_0) ).
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_NBa))))),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_7,negated_conjecture,
c_in(c_Message_Omsg_ONonce(v_NB),c_Message_Oanalz(c_insert(c_Message_Omsg_OKey(v_K),c_Event_Oknows(c_Message_Oagent_OSpy,v_evso),tc_Message_Omsg)),tc_Message_Omsg),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_7) ).
cnf(cls_conjecture_9,negated_conjecture,
( X != c_Message_Omsg_OKey(v_K)
| v_NA != v_NAa
| v_NB != v_NBa ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_9) ).
cnf(11,plain,
~ c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,X,c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(X),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(Y),c_Message_Omsg_OMPair(c_Message_Omsg_OKey(c_Public_OshrK(Z)),c_Message_Omsg_OMPair(U,V)))),W)),c_List_Oset(v_evso,tc_Event_Oevent),tc_Event_Oevent),
inference('UR-RESOLVE',[status(thm)],[cls_Yahalom_OSays__Server__not__shrK_0,cls_conjecture_2]) ).
cnf(12,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_NBa)))))),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(13,plain,
( v_NB = v_NBa
| v_K = c_Public_OshrK(v_sko__2VY(v_K)) ),
inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[cls_Yahalom_Osingle__Nonce__secrecy_0,cls_conjecture_2,cls_conjecture_3,cls_conjecture_7]),cls_conjecture_6]) ).
cnf(20,plain,
( v_NB = v_NBa
| ~ c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,X,c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(X),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(Y),c_Message_Omsg_OMPair(c_Message_Omsg_OKey(v_K),c_Message_Omsg_OMPair(Z,U)))),V)),c_List_Oset(v_evso,tc_Event_Oevent),tc_Event_Oevent) ),
inference('PARAMODULATE',[status(thm)],[11,13,theory(equality)]) ).
cnf(22,plain,
v_NB = v_NBa,
inference('HYPERRESOLVE',[status(thm)],[20,cls_conjecture_3]) ).
cnf(24,plain,
( X != c_Message_Omsg_OKey(v_K)
| v_NA != v_NAa ),
inference('REWRITE',[status(thm)],[cls_conjecture_9,22,theory(equality)]) ).
cnf(25,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('REWRITE',[status(thm)],[12,22,theory(equality)]) ).
cnf(26,plain,
v_NA != v_NAa,
inference('UR-RESOLVE',[status(thm)],[24,theory(equality)]) ).
cnf(27,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_0,26,cls_conjecture_2,cls_conjecture_5,cls_conjecture_6]) ).
cnf(28,plain,
$false,
inference('REWRITE',[status(thm)],[25,27]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.13 % Problem : SWV354-2 : TPTP v8.1.0. Released v3.2.0.
% 0.14/0.14 % Command : run-snark %s %d
% 0.14/0.35 % Computer : n006.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 600
% 0.14/0.35 % DateTime : Wed Jun 15 17:10:56 EDT 2022
% 0.14/0.35 % CPUTime :
% 0.21/0.48 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.21/0.49 *
% 0.21/0.49 *
% 0.21/0.49 #<PACKAGE "SNARK-USER">
% 0.21/0.49 *
% 0.21/0.49 SNARK-TPTP-OPTIONS
% 0.21/0.49 *
% 0.21/0.49 ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.21/0.49 (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.21/0.49 (USE-FACTORING :POS)
% 0.21/0.49 (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.21/0.49 (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.21/0.49 (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.21/0.49 (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.21/0.49 (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.21/0.49 (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.21/0.49 (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.21/0.49 (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.21/0.49 (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.21/0.49 (DECLARE-TPTP-SYMBOLS2))
% 0.21/0.49 *
% 0.21/0.49 "."
% 0.21/0.49 *
% 0.21/0.49 ; Begin refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-15T17:10:56
% 0.21/0.49 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n006.cluster.edu at 2022-06-15T17:10:56
% 0.21/0.54
% 0.21/0.54
% 0.21/0.54 #||
% 0.21/0.54 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.21/0.54 % SZS output start Refutation
% See solution above
% 0.21/0.54 ||#
% 0.21/0.54
% 0.21/0.54 ; Summary of computation:
% 0.21/0.54 ; 44 formulas have been input or derived (from 18 formulas).
% 0.21/0.54 ; 28 (64%) were retained. Of these,
% 0.21/0.54 ; 14 (50%) were simplified or subsumed later,
% 0.21/0.54 ; 14 (50%) are still being kept.
% 0.21/0.54 ;
% 0.21/0.54 ; Run time in seconds excluding printing time:
% 0.21/0.54 ; 0.005 11% Read assertion file (1 call)
% 0.21/0.54 ; 0.000 0% Assert (10 calls)
% 0.21/0.54 ; 0.007 15% Process new row (41 calls)
% 0.21/0.54 ; 0.003 6% Resolution (34 calls)
% 0.21/0.54 ; 0.000 0% Paramodulation (17 calls)
% 0.21/0.54 ; 0.000 0% Factoring (1 call)
% 0.21/0.54 ; 0.000 0% Condensing (15 calls)
% 0.21/0.54 ; 0.003 6% Forward subsumption (15 calls)
% 0.21/0.54 ; 0.000 0% Backward subsumption (15 calls)
% 0.21/0.54 ; 0.000 0% Clause clause subsumption (2 calls)
% 0.21/0.54 ; 0.002 4% Forward simplification (40 calls)
% 0.21/0.54 ; 0.002 4% Backward simplification (28 calls)
% 0.21/0.54 ; 0.000 0% Ordering (26 calls)
% 0.21/0.54 ; 0.000 0% Sortal reasoning (32 calls)
% 0.21/0.54 ; 0.000 0% Purity testing (1 call)
% 0.21/0.55 ; 0.025 53% Other
% 0.21/0.55 ; 0.047 Total
% 0.21/0.55 ; 0.051 Real time
% 0.21/0.55 ;
% 0.21/0.55 ; Term-hash-array has 215 terms in all.
% 0.21/0.55 ; Feature-vector-row-index has 4 entries (14 at peak, 15 added, 11 deleted).
% 0.21/0.55 ; Feature-vector-row-index has 140 nodes (365 at peak, 372 added, 232 deleted).
% 0.21/0.55 ; Retrieved 2 possibly forward subsuming rows in 15 calls.
% 0.21/0.55 ; Retrieved 1 possibly backward subsumed row in 15 calls.
% 0.21/0.55 ; Path-index has 128 entries (214 at peak, 243 added, 115 deleted).
% 0.21/0.55 ; Path-index has 494 nodes (534 at peak, 595 added, 101 deleted).
% 0.21/0.55 ; Trie-index has 128 entries (214 at peak, 243 added, 115 deleted).
% 0.21/0.55 ; Trie-index has 580 nodes (852 at peak, 1,019 added, 439 deleted).
% 0.21/0.55 ; Retrieved 3 generalization terms in 55 calls.
% 0.21/0.55 ; Retrieved 13 instance terms in 12 calls.
% 0.21/0.55 ; Retrieved 171 unifiable terms in 335 calls.
% 0.21/0.55 ;
% 0.21/0.55 ; The agenda of rows to give has 2 entries:
% 0.21/0.55 ; 1 with value (4 7) 1 with value (4 29)
% 0.21/0.55 Evaluation took:
% 0.21/0.55 0.052 seconds of real time
% 0.21/0.55 0.045928 seconds of user run time
% 0.21/0.55 0.00596 seconds of system run time
% 0.21/0.55 0 calls to %EVAL
% 0.21/0.55 0 page faults and
% 0.21/0.55 4,917,624 bytes consed.
% 0.21/0.55 :PROOF-FOUND
% 0.21/0.55 ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-15T17:10:56
% 0.21/0.55 :PROOF-FOUND
% 0.21/0.55 *
%------------------------------------------------------------------------------