TSTP Solution File: SWV332-2 by CSE_E---1.5
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%------------------------------------------------------------------------------
% File : CSE_E---1.5
% Problem : SWV332-2 : TPTP v8.1.2. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s
% Computer : n015.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 : 300s
% DateTime : Thu Aug 31 21:37:58 EDT 2023
% Result : Unsatisfiable 0.22s 0.60s
% Output : CNFRefutation 0.22s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 47
% Syntax : Number of formulae : 79 ( 16 unt; 32 typ; 0 def)
% Number of atoms : 124 ( 22 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 147 ( 70 ~; 77 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 9 ( 2 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 31 ( 16 >; 15 *; 0 +; 0 <<)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-3 aty)
% Number of functors : 31 ( 31 usr; 16 con; 0-4 aty)
% Number of variables : 156 ( 61 sgn; 0 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
tff(decl_22,type,
c_Message_Oanalz: $i > $i ).
tff(decl_23,type,
tc_Message_Omsg: $i ).
tff(decl_24,type,
c_in: ( $i * $i * $i ) > $o ).
tff(decl_25,type,
c_Message_Oparts: $i > $i ).
tff(decl_26,type,
c_Message_Omsg_OMPair: ( $i * $i ) > $i ).
tff(decl_27,type,
c_Event_Obad: $i ).
tff(decl_28,type,
tc_Message_Oagent: $i ).
tff(decl_29,type,
c_Public_OshrK: $i > $i ).
tff(decl_30,type,
c_Message_Omsg_OCrypt: ( $i * $i ) > $i ).
tff(decl_31,type,
c_Message_Oagent_OSpy: $i ).
tff(decl_32,type,
c_Event_Oknows: ( $i * $i ) > $i ).
tff(decl_33,type,
c_Yahalom_Oyahalom: $i ).
tff(decl_34,type,
tc_Event_Oevent: $i ).
tff(decl_35,type,
tc_List_Olist: $i > $i ).
tff(decl_36,type,
c_Message_Omsg_OAgent: $i > $i ).
tff(decl_37,type,
c_Message_Omsg_OKey: $i > $i ).
tff(decl_38,type,
c_Message_Oagent_OServer: $i ).
tff(decl_39,type,
c_Event_Oevent_OSays: ( $i * $i * $i ) > $i ).
tff(decl_40,type,
c_List_Oset: ( $i * $i ) > $i ).
tff(decl_41,type,
v_sko__2ji: ( $i * $i * $i * $i ) > $i ).
tff(decl_42,type,
c_Message_Omsg_ONonce: $i > $i ).
tff(decl_43,type,
v_sko__2jj: ( $i * $i * $i * $i ) > $i ).
tff(decl_44,type,
c_Event_Oevent_OGets: ( $i * $i ) > $i ).
tff(decl_45,type,
v_evs4: $i ).
tff(decl_46,type,
v_X: $i ).
tff(decl_47,type,
v_B: $i ).
tff(decl_48,type,
v_Ba: $i ).
tff(decl_49,type,
v_A: $i ).
tff(decl_50,type,
v_Aa: $i ).
tff(decl_51,type,
v_K: $i ).
tff(decl_52,type,
v_NA: $i ).
tff(decl_53,type,
v_NB: $i ).
cnf(cls_Yahalom_OGets__imp__analz__Spy__dest_0,axiom,
( c_in(X3,c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,X1)),tc_Message_Omsg)
| ~ c_in(X1,c_Yahalom_Oyahalom,tc_List_Olist(tc_Event_Oevent))
| ~ c_in(c_Event_Oevent_OGets(X2,X3),c_List_Oset(X1,tc_Event_Oevent),tc_Event_Oevent) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Yahalom_OGets__imp__analz__Spy__dest_0) ).
cnf(cls_conjecture_3,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_NA),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_3) ).
cnf(cls_conjecture_0,negated_conjecture,
c_in(v_evs4,c_Yahalom_Oyahalom,tc_List_Olist(tc_Event_Oevent)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_0) ).
cnf(cls_Message_OMPair__analz_1,axiom,
( c_in(X1,c_Message_Oanalz(X3),tc_Message_Omsg)
| ~ c_in(c_Message_Omsg_OMPair(X1,X2),c_Message_Oanalz(X3),tc_Message_Omsg) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Message_OMPair__analz_1) ).
cnf(cls_Yahalom_Ounique__session__keys_1,axiom,
( X9 = X3
| ~ c_in(X1,c_Yahalom_Oyahalom,tc_List_Olist(tc_Event_Oevent))
| ~ c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,X2,c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(X2),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X3),c_Message_Omsg_OMPair(c_Message_Omsg_OKey(X4),c_Message_Omsg_OMPair(X5,X6)))),X7)),c_List_Oset(X1,tc_Event_Oevent),tc_Event_Oevent)
| ~ c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,X8,c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(X8),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X9),c_Message_Omsg_OMPair(c_Message_Omsg_OKey(X4),c_Message_Omsg_OMPair(X10,X11)))),X12)),c_List_Oset(X1,tc_Event_Oevent),tc_Event_Oevent) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Yahalom_Ounique__session__keys_1) ).
cnf(cls_Yahalom_OA__trusts__YM3_0,axiom,
( c_in(X2,c_Event_Obad,tc_Message_Oagent)
| c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,X2,c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(X2),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X3),c_Message_Omsg_OMPair(c_Message_Omsg_OKey(X4),c_Message_Omsg_OMPair(X5,X6)))),c_Message_Omsg_OCrypt(c_Public_OshrK(X3),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X2),c_Message_Omsg_OKey(X4))))),c_List_Oset(X1,tc_Event_Oevent),tc_Event_Oevent)
| ~ c_in(X1,c_Yahalom_Oyahalom,tc_List_Olist(tc_Event_Oevent))
| ~ c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(X2),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X3),c_Message_Omsg_OMPair(c_Message_Omsg_OKey(X4),c_Message_Omsg_OMPair(X5,X6)))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X1)),tc_Message_Omsg) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Yahalom_OA__trusts__YM3_0) ).
cnf(cls_Public_OCrypt__Spy__analz__bad_0,axiom,
( c_in(X2,c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,X3)),tc_Message_Omsg)
| ~ c_in(X1,c_Event_Obad,tc_Message_Oagent)
| ~ c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(X1),X2),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,X3)),tc_Message_Omsg) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Public_OCrypt__Spy__analz__bad_0) ).
cnf(cls_Yahalom_OB__trusts__YM4__shrK_0,axiom,
( c_in(X2,c_Event_Obad,tc_Message_Oagent)
| c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,X3,c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(X3),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X2),c_Message_Omsg_OMPair(c_Message_Omsg_OKey(X4),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_sko__2ji(X3,X2,X4,X1)),c_Message_Omsg_ONonce(v_sko__2jj(X3,X2,X4,X1)))))),c_Message_Omsg_OCrypt(c_Public_OshrK(X2),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X3),c_Message_Omsg_OKey(X4))))),c_List_Oset(X1,tc_Event_Oevent),tc_Event_Oevent)
| ~ c_in(X1,c_Yahalom_Oyahalom,tc_List_Olist(tc_Event_Oevent))
| ~ c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(X2),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X3),c_Message_Omsg_OKey(X4))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X1)),tc_Message_Omsg) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Yahalom_OB__trusts__YM4__shrK_0) ).
cnf(cls_Message_OMPair__analz_0,axiom,
( c_in(X2,c_Message_Oanalz(X3),tc_Message_Omsg)
| ~ c_in(c_Message_Omsg_OMPair(X1,X2),c_Message_Oanalz(X3),tc_Message_Omsg) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Message_OMPair__analz_0) ).
cnf(cls_Yahalom_Ounique__session__keys_0,axiom,
( X8 = X2
| ~ c_in(X1,c_Yahalom_Oyahalom,tc_List_Olist(tc_Event_Oevent))
| ~ c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,X2,c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(X2),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X3),c_Message_Omsg_OMPair(c_Message_Omsg_OKey(X4),c_Message_Omsg_OMPair(X5,X6)))),X7)),c_List_Oset(X1,tc_Event_Oevent),tc_Event_Oevent)
| ~ c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,X8,c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(X8),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X9),c_Message_Omsg_OMPair(c_Message_Omsg_OKey(X4),c_Message_Omsg_OMPair(X10,X11)))),X12)),c_List_Oset(X1,tc_Event_Oevent),tc_Event_Oevent) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Yahalom_Ounique__session__keys_0) ).
cnf(cls_Message_Oanalz__conj__parts_0,axiom,
( c_in(X1,c_Message_Oparts(X2),tc_Message_Omsg)
| ~ c_in(X1,c_Message_Oanalz(X2),tc_Message_Omsg) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Message_Oanalz__conj__parts_0) ).
cnf(cls_conjecture_6,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_6) ).
cnf(cls_conjecture_11,negated_conjecture,
( X1 != v_X
| v_B != v_Ba
| v_A != v_Aa ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_11) ).
cnf(cls_conjecture_8,negated_conjecture,
c_in(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_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs4)),tc_Message_Omsg),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_8) ).
cnf(cls_conjecture_9,negated_conjecture,
~ c_in(v_B,c_Event_Obad,tc_Message_Oagent),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_9) ).
cnf(c_0_15,axiom,
( c_in(X3,c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,X1)),tc_Message_Omsg)
| ~ c_in(X1,c_Yahalom_Oyahalom,tc_List_Olist(tc_Event_Oevent))
| ~ c_in(c_Event_Oevent_OGets(X2,X3),c_List_Oset(X1,tc_Event_Oevent),tc_Event_Oevent) ),
cls_Yahalom_OGets__imp__analz__Spy__dest_0 ).
cnf(c_0_16,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_NA),c_Message_Omsg_ONonce(v_NB))))),v_X)),c_List_Oset(v_evs4,tc_Event_Oevent),tc_Event_Oevent),
cls_conjecture_3 ).
cnf(c_0_17,negated_conjecture,
c_in(v_evs4,c_Yahalom_Oyahalom,tc_List_Olist(tc_Event_Oevent)),
cls_conjecture_0 ).
cnf(c_0_18,axiom,
( c_in(X1,c_Message_Oanalz(X3),tc_Message_Omsg)
| ~ c_in(c_Message_Omsg_OMPair(X1,X2),c_Message_Oanalz(X3),tc_Message_Omsg) ),
cls_Message_OMPair__analz_1 ).
cnf(c_0_19,negated_conjecture,
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_NA),c_Message_Omsg_ONonce(v_NB))))),v_X),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs4)),tc_Message_Omsg),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_15,c_0_16]),c_0_17])]) ).
cnf(c_0_20,axiom,
( X9 = X3
| ~ c_in(X1,c_Yahalom_Oyahalom,tc_List_Olist(tc_Event_Oevent))
| ~ c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,X2,c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(X2),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X3),c_Message_Omsg_OMPair(c_Message_Omsg_OKey(X4),c_Message_Omsg_OMPair(X5,X6)))),X7)),c_List_Oset(X1,tc_Event_Oevent),tc_Event_Oevent)
| ~ c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,X8,c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(X8),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X9),c_Message_Omsg_OMPair(c_Message_Omsg_OKey(X4),c_Message_Omsg_OMPair(X10,X11)))),X12)),c_List_Oset(X1,tc_Event_Oevent),tc_Event_Oevent) ),
cls_Yahalom_Ounique__session__keys_1 ).
cnf(c_0_21,axiom,
( c_in(X2,c_Event_Obad,tc_Message_Oagent)
| c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,X2,c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(X2),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X3),c_Message_Omsg_OMPair(c_Message_Omsg_OKey(X4),c_Message_Omsg_OMPair(X5,X6)))),c_Message_Omsg_OCrypt(c_Public_OshrK(X3),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X2),c_Message_Omsg_OKey(X4))))),c_List_Oset(X1,tc_Event_Oevent),tc_Event_Oevent)
| ~ c_in(X1,c_Yahalom_Oyahalom,tc_List_Olist(tc_Event_Oevent))
| ~ c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(X2),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X3),c_Message_Omsg_OMPair(c_Message_Omsg_OKey(X4),c_Message_Omsg_OMPair(X5,X6)))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X1)),tc_Message_Omsg) ),
cls_Yahalom_OA__trusts__YM3_0 ).
cnf(c_0_22,axiom,
( c_in(X2,c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,X3)),tc_Message_Omsg)
| ~ c_in(X1,c_Event_Obad,tc_Message_Oagent)
| ~ c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(X1),X2),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,X3)),tc_Message_Omsg) ),
cls_Public_OCrypt__Spy__analz__bad_0 ).
cnf(c_0_23,negated_conjecture,
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_NA),c_Message_Omsg_ONonce(v_NB))))),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs4)),tc_Message_Omsg),
inference(spm,[status(thm)],[c_0_18,c_0_19]) ).
cnf(c_0_24,plain,
( X1 = X2
| c_in(X3,c_Event_Obad,tc_Message_Oagent)
| ~ c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,X4,c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(X4),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X1),c_Message_Omsg_OMPair(c_Message_Omsg_OKey(X5),c_Message_Omsg_OMPair(X6,X7)))),X8)),c_List_Oset(X9,tc_Event_Oevent),tc_Event_Oevent)
| ~ c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(X3),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X2),c_Message_Omsg_OMPair(c_Message_Omsg_OKey(X5),c_Message_Omsg_OMPair(X10,X11)))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X9)),tc_Message_Omsg)
| ~ c_in(X9,c_Yahalom_Oyahalom,tc_List_Olist(tc_Event_Oevent)) ),
inference(spm,[status(thm)],[c_0_20,c_0_21]) ).
cnf(c_0_25,axiom,
( c_in(X2,c_Event_Obad,tc_Message_Oagent)
| c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,X3,c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(X3),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X2),c_Message_Omsg_OMPair(c_Message_Omsg_OKey(X4),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_sko__2ji(X3,X2,X4,X1)),c_Message_Omsg_ONonce(v_sko__2jj(X3,X2,X4,X1)))))),c_Message_Omsg_OCrypt(c_Public_OshrK(X2),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X3),c_Message_Omsg_OKey(X4))))),c_List_Oset(X1,tc_Event_Oevent),tc_Event_Oevent)
| ~ c_in(X1,c_Yahalom_Oyahalom,tc_List_Olist(tc_Event_Oevent))
| ~ c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(X2),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X3),c_Message_Omsg_OKey(X4))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X1)),tc_Message_Omsg) ),
cls_Yahalom_OB__trusts__YM4__shrK_0 ).
cnf(c_0_26,axiom,
( c_in(X2,c_Message_Oanalz(X3),tc_Message_Omsg)
| ~ c_in(c_Message_Omsg_OMPair(X1,X2),c_Message_Oanalz(X3),tc_Message_Omsg) ),
cls_Message_OMPair__analz_0 ).
cnf(c_0_27,negated_conjecture,
( c_in(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)))),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs4)),tc_Message_Omsg)
| ~ c_in(v_Aa,c_Event_Obad,tc_Message_Oagent) ),
inference(spm,[status(thm)],[c_0_22,c_0_23]) ).
cnf(c_0_28,axiom,
( X8 = X2
| ~ c_in(X1,c_Yahalom_Oyahalom,tc_List_Olist(tc_Event_Oevent))
| ~ c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,X2,c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(X2),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X3),c_Message_Omsg_OMPair(c_Message_Omsg_OKey(X4),c_Message_Omsg_OMPair(X5,X6)))),X7)),c_List_Oset(X1,tc_Event_Oevent),tc_Event_Oevent)
| ~ c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,X8,c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(X8),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X9),c_Message_Omsg_OMPair(c_Message_Omsg_OKey(X4),c_Message_Omsg_OMPair(X10,X11)))),X12)),c_List_Oset(X1,tc_Event_Oevent),tc_Event_Oevent) ),
cls_Yahalom_Ounique__session__keys_0 ).
cnf(c_0_29,plain,
( X1 = X2
| c_in(X1,c_Event_Obad,tc_Message_Oagent)
| c_in(X3,c_Event_Obad,tc_Message_Oagent)
| ~ c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(X3),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X2),c_Message_Omsg_OMPair(c_Message_Omsg_OKey(X4),c_Message_Omsg_OMPair(X5,X6)))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X7)),tc_Message_Omsg)
| ~ c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(X1),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X8),c_Message_Omsg_OKey(X4))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X7)),tc_Message_Omsg)
| ~ c_in(X7,c_Yahalom_Oyahalom,tc_List_Olist(tc_Event_Oevent)) ),
inference(spm,[status(thm)],[c_0_24,c_0_25]) ).
cnf(c_0_30,axiom,
( c_in(X1,c_Message_Oparts(X2),tc_Message_Omsg)
| ~ c_in(X1,c_Message_Oanalz(X2),tc_Message_Omsg) ),
cls_Message_Oanalz__conj__parts_0 ).
cnf(c_0_31,negated_conjecture,
( c_in(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_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs4)),tc_Message_Omsg)
| ~ c_in(v_Aa,c_Event_Obad,tc_Message_Oagent) ),
inference(spm,[status(thm)],[c_0_26,c_0_27]) ).
cnf(c_0_32,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),
cls_conjecture_6 ).
cnf(c_0_33,plain,
( X1 = X2
| c_in(X2,c_Event_Obad,tc_Message_Oagent)
| ~ c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,X1,c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(X1),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X3),c_Message_Omsg_OMPair(c_Message_Omsg_OKey(X4),c_Message_Omsg_OMPair(X5,X6)))),X7)),c_List_Oset(X8,tc_Event_Oevent),tc_Event_Oevent)
| ~ c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(X2),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X9),c_Message_Omsg_OMPair(c_Message_Omsg_OKey(X4),c_Message_Omsg_OMPair(X10,X11)))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X8)),tc_Message_Omsg)
| ~ c_in(X8,c_Yahalom_Oyahalom,tc_List_Olist(tc_Event_Oevent)) ),
inference(spm,[status(thm)],[c_0_28,c_0_21]) ).
cnf(c_0_34,plain,
( X1 = X2
| c_in(X3,c_Event_Obad,tc_Message_Oagent)
| c_in(X1,c_Event_Obad,tc_Message_Oagent)
| ~ c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(X3),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X2),c_Message_Omsg_OMPair(c_Message_Omsg_OKey(X4),c_Message_Omsg_OMPair(X5,X6)))),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,X7)),tc_Message_Omsg)
| ~ c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(X1),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X8),c_Message_Omsg_OKey(X4))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X7)),tc_Message_Omsg)
| ~ c_in(X7,c_Yahalom_Oyahalom,tc_List_Olist(tc_Event_Oevent)) ),
inference(spm,[status(thm)],[c_0_29,c_0_30]) ).
cnf(c_0_35,negated_conjecture,
~ c_in(v_Aa,c_Event_Obad,tc_Message_Oagent),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_18,c_0_31]),c_0_32]) ).
cnf(c_0_36,plain,
( X1 = X2
| c_in(X3,c_Event_Obad,tc_Message_Oagent)
| c_in(X2,c_Event_Obad,tc_Message_Oagent)
| ~ c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(X2),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X4),c_Message_Omsg_OMPair(c_Message_Omsg_OKey(X5),c_Message_Omsg_OMPair(X6,X7)))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X8)),tc_Message_Omsg)
| ~ c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(X3),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X1),c_Message_Omsg_OKey(X5))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X8)),tc_Message_Omsg)
| ~ c_in(X8,c_Yahalom_Oyahalom,tc_List_Olist(tc_Event_Oevent)) ),
inference(spm,[status(thm)],[c_0_33,c_0_25]) ).
cnf(c_0_37,negated_conjecture,
( X1 != v_X
| v_B != v_Ba
| v_A != v_Aa ),
cls_conjecture_11 ).
cnf(c_0_38,negated_conjecture,
( X1 = v_Ba
| c_in(X1,c_Event_Obad,tc_Message_Oagent)
| ~ c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(X1),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X2),c_Message_Omsg_OKey(v_K))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs4)),tc_Message_Omsg) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_34,c_0_23]),c_0_17])]),c_0_35]) ).
cnf(c_0_39,negated_conjecture,
c_in(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_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs4)),tc_Message_Omsg),
cls_conjecture_8 ).
cnf(c_0_40,negated_conjecture,
~ c_in(v_B,c_Event_Obad,tc_Message_Oagent),
cls_conjecture_9 ).
cnf(c_0_41,plain,
( X1 = X2
| c_in(X2,c_Event_Obad,tc_Message_Oagent)
| c_in(X3,c_Event_Obad,tc_Message_Oagent)
| ~ c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(X2),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X4),c_Message_Omsg_OMPair(c_Message_Omsg_OKey(X5),c_Message_Omsg_OMPair(X6,X7)))),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,X8)),tc_Message_Omsg)
| ~ c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(X3),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X1),c_Message_Omsg_OKey(X5))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X8)),tc_Message_Omsg)
| ~ c_in(X8,c_Yahalom_Oyahalom,tc_List_Olist(tc_Event_Oevent)) ),
inference(spm,[status(thm)],[c_0_36,c_0_30]) ).
cnf(c_0_42,negated_conjecture,
( v_Ba != v_B
| v_A != v_Aa ),
inference(er,[status(thm)],[c_0_37]) ).
cnf(c_0_43,negated_conjecture,
v_Ba = v_B,
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_38,c_0_39]),c_0_40]) ).
cnf(c_0_44,negated_conjecture,
( X1 = v_Aa
| c_in(X2,c_Event_Obad,tc_Message_Oagent)
| ~ c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(X2),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X1),c_Message_Omsg_OKey(v_K))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs4)),tc_Message_Omsg) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_41,c_0_23]),c_0_17])]),c_0_35]) ).
cnf(c_0_45,negated_conjecture,
v_A != v_Aa,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_42,c_0_43])]) ).
cnf(c_0_46,negated_conjecture,
$false,
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_44,c_0_39]),c_0_45]),c_0_40]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : SWV332-2 : TPTP v8.1.2. Released v3.2.0.
% 0.00/0.14 % Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s
% 0.13/0.36 % Computer : n015.cluster.edu
% 0.13/0.36 % Model : x86_64 x86_64
% 0.13/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.36 % Memory : 8042.1875MB
% 0.13/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.36 % CPULimit : 300
% 0.13/0.36 % WCLimit : 300
% 0.13/0.36 % DateTime : Tue Aug 29 10:53:26 EDT 2023
% 0.13/0.36 % CPUTime :
% 0.22/0.58 start to proof: theBenchmark
% 0.22/0.60 % Version : CSE_E---1.5
% 0.22/0.60 % Problem : theBenchmark.p
% 0.22/0.60 % Proof found
% 0.22/0.60 % SZS status Theorem for theBenchmark.p
% 0.22/0.60 % SZS output start Proof
% See solution above
% 0.22/0.61 % Total time : 0.012000 s
% 0.22/0.61 % SZS output end Proof
% 0.22/0.61 % Total time : 0.015000 s
%------------------------------------------------------------------------------