TSTP Solution File: SWV348-2 by SNARK---20120808r022
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%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : SWV348-2 : TPTP v8.1.0. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n011.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 21:32:57 EDT 2022
% Result : Unsatisfiable 1.36s 1.59s
% Output : Refutation 1.36s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 20
% Syntax : Number of clauses : 39 ( 27 unt; 4 nHn; 38 RR)
% Number of literals : 67 ( 5 equ; 34 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 : 31 ( 31 usr; 17 con; 0-3 aty)
% Number of variables : 73 ( 32 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(cls_Message_OMPair__parts_1,axiom,
( ~ c_in(c_Message_Omsg_OMPair(X,Y),c_Message_Oparts(Z),tc_Message_Omsg)
| c_in(X,c_Message_Oparts(Z),tc_Message_Omsg) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Message_OMPair__parts_1) ).
cnf(cls_Message_Oparts_OInj_0,axiom,
( ~ c_in(X,Y,tc_Message_Omsg)
| c_in(X,c_Message_Oparts(Y),tc_Message_Omsg) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Message_Oparts_OInj_0) ).
cnf(cls_Message_Oparts__analz_0,axiom,
c_Message_Oparts(c_Message_Oanalz(X)) = c_Message_Oparts(X),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Message_Oparts__analz_0) ).
cnf(cls_Message_OMPair__analz_0,axiom,
( ~ c_in(c_Message_Omsg_OMPair(X,Y),c_Message_Oanalz(Z),tc_Message_Omsg)
| c_in(Y,c_Message_Oanalz(Z),tc_Message_Omsg) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Message_OMPair__analz_0) ).
cnf(cls_Message_OMPair__analz_1,axiom,
( ~ c_in(c_Message_Omsg_OMPair(X,Y),c_Message_Oanalz(Z),tc_Message_Omsg)
| c_in(X,c_Message_Oanalz(Z),tc_Message_Omsg) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Message_OMPair__analz_1) ).
cnf(cls_Yahalom_OSpy__analz__shrK_1,axiom,
( ~ c_in(X,c_Event_Obad,tc_Message_Oagent)
| ~ c_in(Y,c_Yahalom_Oyahalom,tc_List_Olist(tc_Event_Oevent))
| c_in(c_Message_Omsg_OKey(c_Public_OshrK(X)),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,Y)),tc_Message_Omsg) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Yahalom_OSpy__analz__shrK_1) ).
cnf(cls_Yahalom_OGets__imp__analz__Spy__dest_0,axiom,
( ~ c_in(X,c_Yahalom_Oyahalom,tc_List_Olist(tc_Event_Oevent))
| ~ c_in(c_Event_Oevent_OGets(Y,Z),c_List_Oset(X,tc_Event_Oevent),tc_Event_Oevent)
| c_in(Z,c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,X)),tc_Message_Omsg) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Yahalom_OGets__imp__analz__Spy__dest_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/sandbox2/benchmark/theBenchmark.p',cls_Yahalom_OSays__Server__imp__YM2_0) ).
cnf(cls_Public_Oanalz__shrK__Decrypt_0,axiom,
( ~ c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(X),Y),c_Message_Oanalz(Z),tc_Message_Omsg)
| ~ c_in(c_Message_Omsg_OKey(c_Public_OshrK(X)),c_Message_Oanalz(Z),tc_Message_Omsg)
| c_in(Y,c_Message_Oanalz(Z),tc_Message_Omsg) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Public_Oanalz__shrK__Decrypt_0) ).
cnf(cls_Yahalom_OA__trusts__YM3_0,axiom,
( ~ c_in(X,c_Yahalom_Oyahalom,tc_List_Olist(tc_Event_Oevent))
| ~ c_in(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)))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X)),tc_Message_Omsg)
| c_in(Y,c_Event_Obad,tc_Message_Oagent)
| 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)))),c_Message_Omsg_OCrypt(c_Public_OshrK(Z),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(Y),c_Message_Omsg_OKey(U))))),c_List_Oset(X,tc_Event_Oevent),tc_Event_Oevent) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Yahalom_OA__trusts__YM3_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/sandbox2/benchmark/theBenchmark.p',cls_Yahalom_OSays__unique__NB_0) ).
cnf(cls_Yahalom_OSays__unique__NB_2,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)
| U = V1 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Yahalom_OSays__unique__NB_2) ).
cnf(cls_Yahalom_OSpy__not__see__encrypted__key_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,W)))),c_Message_Omsg_OCrypt(c_Public_OshrK(Z),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(Y),c_Message_Omsg_OKey(U))))),c_List_Oset(X,tc_Event_Oevent),tc_Event_Oevent)
| ~ c_in(c_Message_Omsg_OKey(U),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,X)),tc_Message_Omsg)
| c_in(Z,c_Event_Obad,tc_Message_Oagent)
| c_in(Y,c_Event_Obad,tc_Message_Oagent)
| c_in(c_Event_Oevent_ONotes(c_Message_Oagent_OSpy,c_Message_Omsg_OMPair(V,c_Message_Omsg_OMPair(W,c_Message_Omsg_OKey(U)))),c_List_Oset(X,tc_Event_Oevent),tc_Event_Oevent) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Yahalom_OSpy__not__see__encrypted__key_0) ).
cnf(cls_conjecture_1,negated_conjecture,
~ c_in(v_B,c_Event_Obad,tc_Message_Oagent),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_1) ).
cnf(cls_conjecture_2,negated_conjecture,
c_in(v_evs4,c_Yahalom_Oyahalom,tc_List_Olist(tc_Event_Oevent)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_2) ).
cnf(cls_conjecture_5,negated_conjecture,
c_in(c_Event_Oevent_OGets(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_evs4,tc_Event_Oevent),tc_Event_Oevent),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_5) ).
cnf(cls_conjecture_8,negated_conjecture,
~ c_in(c_Event_Oevent_ONotes(c_Message_Oagent_OSpy,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NA),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),X))),c_List_Oset(v_evs4,tc_Event_Oevent),tc_Event_Oevent),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_8) ).
cnf(cls_conjecture_9,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_evs4,tc_Event_Oevent),tc_Event_Oevent),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_9) ).
cnf(cls_conjecture_10,negated_conjecture,
~ c_in(c_Message_Omsg_ONonce(v_NB),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs4)),tc_Message_Omsg),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_10) ).
cnf(cls_conjecture_11,negated_conjecture,
c_in(c_Message_Omsg_OKey(v_K),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs4)),tc_Message_Omsg),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_11) ).
cnf(22,plain,
~ c_in(c_Message_Omsg_OMPair(X,c_Message_Omsg_ONonce(v_NB)),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs4)),tc_Message_Omsg),
inference('UR-RESOLVE',[status(thm)],[cls_Message_OMPair__analz_0,cls_conjecture_10]) ).
cnf(25,plain,
c_in(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_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs4)),tc_Message_Omsg),
inference('HYPERRESOLVE',[status(thm)],[cls_Yahalom_OGets__imp__analz__Spy__dest_0,cls_conjecture_5,cls_conjecture_2]) ).
cnf(29,plain,
~ c_in(c_Message_Omsg_OMPair(X,c_Message_Omsg_OMPair(Y,c_Message_Omsg_ONonce(v_NB))),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs4)),tc_Message_Omsg),
inference('UR-RESOLVE',[status(thm)],[cls_Message_OMPair__analz_0,22]) ).
cnf(36,plain,
~ c_in(c_Message_Omsg_OMPair(X,c_Message_Omsg_OMPair(Y,c_Message_Omsg_OMPair(Z,c_Message_Omsg_ONonce(v_NB)))),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs4)),tc_Message_Omsg),
inference('UR-RESOLVE',[status(thm)],[cls_Message_OMPair__analz_0,29]) ).
cnf(124,plain,
c_in(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))))),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs4)),tc_Message_Omsg),
inference('HYPERRESOLVE',[status(thm)],[cls_Message_OMPair__analz_1,25]) ).
cnf(125,plain,
c_in(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_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs4)),tc_Message_Omsg),
inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[cls_Message_Oparts_OInj_0,25]),cls_Message_Oparts__analz_0,theory(equality)]) ).
cnf(132,plain,
~ c_in(c_Message_Omsg_OKey(c_Public_OshrK(v_Aa)),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs4)),tc_Message_Omsg),
inference('UR-RESOLVE',[status(thm)],[cls_Public_Oanalz__shrK__Decrypt_0,124,36]) ).
cnf(133,plain,
c_in(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))))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs4)),tc_Message_Omsg),
inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[cls_Message_Oparts_OInj_0,124]),cls_Message_Oparts__analz_0,theory(equality)]) ).
cnf(134,plain,
~ c_in(v_Aa,c_Event_Obad,tc_Message_Oagent),
inference('UR-RESOLVE',[status(thm)],[cls_Yahalom_OSpy__analz__shrK_1,132,cls_conjecture_2]) ).
cnf(138,plain,
~ 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_B),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))))),c_Message_Omsg_OCrypt(c_Public_OshrK(v_B),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa),c_Message_Omsg_OKey(v_K))))),c_List_Oset(v_evs4,tc_Event_Oevent),tc_Event_Oevent),
inference('UR-RESOLVE',[status(thm)],[cls_Yahalom_OSpy__not__see__encrypted__key_0,134,cls_conjecture_2,cls_conjecture_11,cls_conjecture_1,cls_conjecture_8]) ).
cnf(185,plain,
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))))),c_Message_Omsg_OCrypt(c_Public_OshrK(v_Ba),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa),c_Message_Omsg_OKey(v_K))))),c_List_Oset(v_evs4,tc_Event_Oevent),tc_Event_Oevent),
inference('UR-RESOLVE',[status(thm)],[cls_Yahalom_OA__trusts__YM3_0,133,cls_conjecture_2,134]) ).
cnf(2379,plain,
~ c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_Aa),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_B),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))))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs4)),tc_Message_Omsg),
inference('UR-RESOLVE',[status(thm)],[cls_Yahalom_OA__trusts__YM3_0,138,cls_conjecture_2,134]) ).
cnf(2381,plain,
~ c_in(c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(v_Aa),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_B),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))))),X),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs4)),tc_Message_Omsg),
inference('UR-RESOLVE',[status(thm)],[cls_Message_OMPair__parts_1,2379]) ).
cnf(2400,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_evs4,tc_Event_Oevent),tc_Event_Oevent),
inference('HYPERRESOLVE',[status(thm)],[cls_Yahalom_OSays__Server__imp__YM2_0,185,cls_conjecture_2]) ).
cnf(2402,plain,
v_Ba = v_B,
inference('UR-RESOLVE',[status(thm)],[cls_Yahalom_OSays__unique__NB_2,2400,cls_conjecture_2,cls_conjecture_9,cls_conjecture_10]) ).
cnf(2406,plain,
c_in(c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(v_Aa),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_B),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_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs4)),tc_Message_Omsg),
inference('REWRITE',[status(thm)],[125,2402,theory(equality)]) ).
cnf(2422,plain,
c_in(c_Event_Oevent_OGets(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_Aa),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NAa),c_Message_Omsg_ONonce(v_NB)))))),c_List_Oset(v_evs4,tc_Event_Oevent),tc_Event_Oevent),
inference('REWRITE',[status(thm)],[2400,2402,theory(equality)]) ).
cnf(2424,plain,
v_NAa = v_NA,
inference('UR-RESOLVE',[status(thm)],[cls_Yahalom_OSays__unique__NB_0,2422,cls_conjecture_2,cls_conjecture_9,cls_conjecture_10]) ).
cnf(2428,plain,
$false,
inference('REWRITE',[status(thm)],[2406,2381,2424,theory(equality)]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : SWV348-2 : TPTP v8.1.0. Released v3.2.0.
% 0.11/0.13 % Command : run-snark %s %d
% 0.12/0.33 % Computer : n011.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 600
% 0.12/0.33 % DateTime : Thu Jun 16 01:55:51 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.18/0.45 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.18/0.46 *
% 0.18/0.46 *
% 0.18/0.46 #<PACKAGE "SNARK-USER">
% 0.18/0.46 *
% 0.18/0.46 SNARK-TPTP-OPTIONS
% 0.18/0.46 *
% 0.18/0.46 ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.18/0.46 (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.18/0.46 (USE-FACTORING :POS)
% 0.18/0.46 (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.18/0.46 (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.18/0.46 (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.18/0.46 (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.18/0.46 (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.18/0.46 (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.18/0.46 (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.18/0.46 (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.18/0.46 (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.18/0.46 (DECLARE-TPTP-SYMBOLS2))
% 0.18/0.46 *
% 0.18/0.46 "."
% 0.18/0.46 *
% 0.18/0.46 ; Begin refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-06-16T01:55:51
% 0.18/0.46 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n011.cluster.edu at 2022-06-16T01:55:51
% 1.36/1.59
% 1.36/1.59
% 1.36/1.59 #||
% 1.36/1.59 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 1.36/1.59 % SZS output start Refutation
% See solution above
% 1.36/1.59 ||#
% 1.36/1.59
% 1.36/1.59 ; Summary of computation:
% 1.36/1.59 ; 2548 formulas have been input or derived (from 1255 formulas).
% 1.36/1.59 ; 2428 (95%) were retained. Of these,
% 1.36/1.59 ; 42 ( 2%) were simplified or subsumed later,
% 1.36/1.59 ; 2386 (98%) are still being kept.
% 1.36/1.59 ;
% 1.36/1.59 ; Run time in seconds excluding printing time:
% 1.36/1.59 ; 0.008 1% Read assertion file (1 call)
% 1.36/1.59 ; 0.001 0% Assert (20 calls)
% 1.36/1.59 ; 0.253 22% Process new row (2,462 calls)
% 1.36/1.59 ; 0.377 33% Resolution (2,508 calls)
% 1.36/1.59 ; 0.365 32% Paramodulation (1,254 calls)
% 1.36/1.59 ; 0.000 0% Factoring (1 call)
% 1.36/1.59 ; 0.000 0% Condensing (14 calls)
% 1.36/1.59 ; 0.002 0% Forward subsumption (14 calls)
% 1.36/1.59 ; 0.001 0% Backward subsumption (13 calls)
% 1.36/1.59 ; 0.000 0% Clause clause subsumption (8 calls)
% 1.36/1.59 ; 0.037 3% Forward simplification (2,458 calls)
% 1.36/1.59 ; 0.031 3% Backward simplification (2,428 calls)
% 1.36/1.59 ; 0.000 0% Ordering (17 calls)
% 1.36/1.59 ; 0.000 0% Sortal reasoning (32 calls)
% 1.36/1.59 ; 0.000 0% Purity testing (1 call)
% 1.36/1.59 ; 0.052 5% Other
% 1.36/1.59 ; 1.127 Total
% 1.36/1.59 ; 1.131 Real time
% 1.36/1.59 ;
% 1.36/1.59 ; Term-hash-array has 6,394 terms in all.
% 1.36/1.59 ; Feature-vector-row-index has 12 entries (13 at peak, 13 added, 1 deleted).
% 1.36/1.59 ; Feature-vector-row-index has 212 nodes (236 at peak, 236 added, 24 deleted).
% 1.36/1.59 ; Retrieved 6 possibly forward subsuming rows in 14 calls.
% 1.36/1.59 ; Retrieved 3 possibly backward subsumed rows in 13 calls.
% 1.36/1.59 ; Path-index has 6,341 entries (6,376 at peak, 6,420 added, 79 deleted).
% 1.36/1.59 ; Path-index has 19,289 nodes (19,328 at peak, 19,390 added, 101 deleted).
% 1.36/1.59 ; Trie-index has 6,341 entries (6,376 at peak, 6,420 added, 79 deleted).
% 1.36/1.59 ; Trie-index has 43,021 nodes (43,274 at peak, 43,573 added, 552 deleted).
% 1.36/1.59 ; Retrieved 37 generalization terms in 2,763 calls.
% 1.36/1.59 ; Retrieved 2,414 instance terms in 2,414 calls.
% 1.36/1.59 ; Retrieved 28,359 unifiable terms in 32,528 calls.
% 1.36/1.59 ;
% 1.36/1.59 ; The agenda of backward simplifiable rows to process has 17 entries:
% 1.36/1.59 ; 17 with value 0
% 1.36/1.59 ; The agenda of rows to process has 3 entries:
% 1.36/1.59 ; 2 with value 23 1 with value 34
% 1.36/1.59 ; The agenda of input rows to give has 1 entry:
% 1.36/1.59 ; 1 with value 31
% 1.36/1.59 ; The agenda of rows to give has 1161 entries:
% 1.36/1.59 ; 1 with value (4 12) 260 with value (4 45) 128 with value (4 47)
% 1.36/1.59 ; 1 with value (4 28) 513 with value (4 46) 257 with value (4 48)
% 1.36/1.59 ; 1 with value (4 30)
% 1.36/1.59 Evaluation took:
% 1.36/1.59 1.131 seconds of real time
% 1.36/1.59 1.097372 seconds of user run time
% 1.36/1.59 0.033809 seconds of system run time
% 1.36/1.59 [Run times include 0.057 seconds GC run time.]
% 1.36/1.59 0 calls to %EVAL
% 1.36/1.59 0 page faults and
% 1.36/1.59 62,677,672 bytes consed.
% 1.36/1.59 :PROOF-FOUND
% 1.36/1.59 ; End refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-06-16T01:55:52
% 1.36/1.59 :PROOF-FOUND
% 1.36/1.59 *
%------------------------------------------------------------------------------