TSTP Solution File: SWV316-2 by CSE_E---1.5
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%------------------------------------------------------------------------------
% File : CSE_E---1.5
% Problem : SWV316-2 : 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 : n024.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 21:37:49 EDT 2023
% Result : Unsatisfiable 0.73s 0.79s
% Output : CNFRefutation 0.74s
% Verified :
% SZS Type : Refutation
% Derivation depth : 30
% Number of leaves : 66
% Syntax : Number of formulae : 165 ( 62 unt; 34 typ; 0 def)
% Number of atoms : 273 ( 114 equ)
% Maximal formula atoms : 7 ( 2 avg)
% Number of connectives : 217 ( 75 ~; 142 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 3 avg)
% Maximal term depth : 9 ( 2 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 35 ( 20 >; 15 *; 0 +; 0 <<)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-3 aty)
% Number of functors : 33 ( 33 usr; 14 con; 0-3 aty)
% Number of variables : 211 ( 50 sgn; 0 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
tff(decl_22,type,
c_Event_Oevent_OSays: ( $i * $i * $i ) > $i ).
tff(decl_23,type,
tc_Event_Oevent: $i ).
tff(decl_24,type,
c_List_Oset: ( $i * $i ) > $i ).
tff(decl_25,type,
c_in: ( $i * $i * $i ) > $o ).
tff(decl_26,type,
c_Message_Oagent_OSpy: $i ).
tff(decl_27,type,
c_Event_Oknows: ( $i * $i ) > $i ).
tff(decl_28,type,
c_Message_Oanalz: $i > $i ).
tff(decl_29,type,
tc_Message_Omsg: $i ).
tff(decl_30,type,
c_Message_Omsg_OAgent: $i > $i ).
tff(decl_31,type,
c_Message_Osynth: $i > $i ).
tff(decl_32,type,
c_insert: ( $i * $i * $i ) > $i ).
tff(decl_33,type,
c_Message_Omsg_OKey: $i > $i ).
tff(decl_34,type,
c_Message_Omsg_OMPair: ( $i * $i ) > $i ).
tff(decl_35,type,
c_Message_Oparts: $i > $i ).
tff(decl_36,type,
c_union: ( $i * $i * $i ) > $i ).
tff(decl_37,type,
c_Message_Omsg_OCrypt: ( $i * $i ) > $i ).
tff(decl_38,type,
c_Message_Omsg_ONonce: $i > $i ).
tff(decl_39,type,
c_OtwayRees_Ootway: $i ).
tff(decl_40,type,
tc_List_Olist: $i > $i ).
tff(decl_41,type,
c_Event_Oevent_OGets: ( $i * $i ) > $i ).
tff(decl_42,type,
v_sko__usf: ( $i * $i * $i ) > $i ).
tff(decl_43,type,
c_List_Olist_ONil: $i ).
tff(decl_44,type,
c_Event_Oused: $i > $i ).
tff(decl_45,type,
c_Event_OinitState: $i > $i ).
tff(decl_46,type,
c_Event_Obad: $i ).
tff(decl_47,type,
tc_Message_Oagent: $i ).
tff(decl_48,type,
c_Public_OshrK: $i > $i ).
tff(decl_49,type,
v_evs2: $i ).
tff(decl_50,type,
v_NB: $i ).
tff(decl_51,type,
v_B: $i ).
tff(decl_52,type,
v_NA: $i ).
tff(decl_53,type,
v_Aa: $i ).
tff(decl_54,type,
v_X: $i ).
tff(decl_55,type,
v_A: $i ).
cnf(cls_conjecture_5,negated_conjecture,
( ~ c_in(v_A,c_Event_Obad,tc_Message_Oagent)
| ~ c_in(c_Message_Omsg_OKey(c_Public_OshrK(v_A)),c_Message_Oparts(c_insert(v_X,c_insert(c_Message_Omsg_OCrypt(c_Public_OshrK(v_B),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NA),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa),c_Message_Omsg_OAgent(v_B))))),c_Event_Oknows(c_Message_Oagent_OSpy,v_evs2),tc_Message_Omsg),tc_Message_Omsg)),tc_Message_Omsg) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_5) ).
cnf(cls_Message_Oparts_OInj_0,axiom,
( c_in(X1,c_Message_Oparts(X2),tc_Message_Omsg)
| ~ c_in(X1,X2,tc_Message_Omsg) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Message_Oparts_OInj_0) ).
cnf(cls_Set_Oinsert__iff_2,axiom,
( c_in(X1,c_insert(X4,X2,X3),X3)
| ~ c_in(X1,X2,X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Set_Oinsert__iff_2) ).
cnf(cls_conjecture_3,negated_conjecture,
( c_in(v_A,c_Event_Obad,tc_Message_Oagent)
| ~ c_in(c_Message_Omsg_OKey(c_Public_OshrK(v_A)),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs2)),tc_Message_Omsg) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_3) ).
cnf(cls_Public_OSpy__spies__bad__shrK_0,axiom,
( c_in(c_Message_Omsg_OKey(c_Public_OshrK(X1)),c_Event_Oknows(c_Message_Oagent_OSpy,X2),tc_Message_Omsg)
| ~ c_in(X1,c_Event_Obad,tc_Message_Oagent) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Public_OSpy__spies__bad__shrK_0) ).
cnf(cls_conjecture_6,negated_conjecture,
( c_in(c_Message_Omsg_OKey(c_Public_OshrK(v_A)),c_Message_Oparts(c_insert(v_X,c_insert(c_Message_Omsg_OCrypt(c_Public_OshrK(v_B),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NA),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa),c_Message_Omsg_OAgent(v_B))))),c_Event_Oknows(c_Message_Oagent_OSpy,v_evs2),tc_Message_Omsg),tc_Message_Omsg)),tc_Message_Omsg)
| c_in(v_A,c_Event_Obad,tc_Message_Oagent) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_6) ).
cnf(cls_Set_Oinsert__iff_0,axiom,
( c_in(X1,X3,X4)
| X1 = X2
| ~ c_in(X1,c_insert(X2,X3,X4),X4) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Set_Oinsert__iff_0) ).
cnf(cls_Message_Oparts__insert__Crypt_0,axiom,
c_Message_Oparts(c_insert(c_Message_Omsg_OCrypt(X1,X2),X3,tc_Message_Omsg)) = c_insert(c_Message_Omsg_OCrypt(X1,X2),c_Message_Oparts(c_insert(X2,X3,tc_Message_Omsg)),tc_Message_Omsg),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Message_Oparts__insert__Crypt_0) ).
cnf(cls_Message_Oparts__cut__eq_0,axiom,
( c_Message_Oparts(c_insert(X1,X2,tc_Message_Omsg)) = c_Message_Oparts(X2)
| ~ c_in(X1,c_Message_Oparts(X2),tc_Message_Omsg) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Message_Oparts__cut__eq_0) ).
cnf(cls_Message_Oparts__insert__MPair_0,axiom,
c_Message_Oparts(c_insert(c_Message_Omsg_OMPair(X1,X2),X3,tc_Message_Omsg)) = c_insert(c_Message_Omsg_OMPair(X1,X2),c_Message_Oparts(c_insert(X1,c_insert(X2,X3,tc_Message_Omsg),tc_Message_Omsg)),tc_Message_Omsg),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Message_Oparts__insert__MPair_0) ).
cnf(cls_Message_OMPair__parts_0,axiom,
( c_in(X2,c_Message_Oparts(X3),tc_Message_Omsg)
| ~ c_in(c_Message_Omsg_OMPair(X1,X2),c_Message_Oparts(X3),tc_Message_Omsg) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Message_OMPair__parts_0) ).
cnf(cls_Message_Oparts__insert__Nonce_0,axiom,
c_Message_Oparts(c_insert(c_Message_Omsg_ONonce(X1),X2,tc_Message_Omsg)) = c_insert(c_Message_Omsg_ONonce(X1),c_Message_Oparts(X2),tc_Message_Omsg),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Message_Oparts__insert__Nonce_0) ).
cnf(cls_Event_OSays__imp__analz__Spy__dest_0,axiom,
( c_in(X3,c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,X4)),tc_Message_Omsg)
| ~ c_in(c_Event_Oevent_OSays(X1,X2,X3),c_List_Oset(X4,tc_Event_Oevent),tc_Event_Oevent) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Event_OSays__imp__analz__Spy__dest_0) ).
cnf(cls_OtwayRees_OGets__imp__Says__dest_0,axiom,
( c_in(c_Event_Oevent_OSays(v_sko__usf(X2,X3,X1),X2,X3),c_List_Oset(X1,tc_Event_Oevent),tc_Event_Oevent)
| ~ c_in(X1,c_OtwayRees_Ootway,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_OtwayRees_OGets__imp__Says__dest_0) ).
cnf(cls_Message_Oparts__Un_0,axiom,
c_Message_Oparts(c_union(X1,X2,tc_Message_Omsg)) = c_union(c_Message_Oparts(X1),c_Message_Oparts(X2),tc_Message_Omsg),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Message_Oparts__Un_0) ).
cnf(cls_Message_Oparts__idem_0,axiom,
c_Message_Oparts(c_Message_Oparts(X1)) = c_Message_Oparts(X1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Message_Oparts__idem_0) ).
cnf(cls_conjecture_2,negated_conjecture,
c_in(c_Event_Oevent_OGets(v_B,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NA),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_B),v_X)))),c_List_Oset(v_evs2,tc_Event_Oevent),tc_Event_Oevent),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_2) ).
cnf(cls_conjecture_0,negated_conjecture,
c_in(v_evs2,c_OtwayRees_Ootway,tc_List_Olist(tc_Event_Oevent)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_0) ).
cnf(cls_Set_OUn__insert__right_0,axiom,
c_union(X1,c_insert(X2,X3,X4),X4) = c_insert(X2,c_union(X1,X3,X4),X4),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Set_OUn__insert__right_0) ).
cnf(cls_Set_OUn__insert__left_0,axiom,
c_union(c_insert(X1,X2,X3),X4,X3) = c_insert(X1,c_union(X2,X4,X3),X3),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Set_OUn__insert__left_0) ).
cnf(cls_Message_Oparts__analz_0,axiom,
c_Message_Oparts(c_Message_Oanalz(X1)) = c_Message_Oparts(X1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Message_Oparts__analz_0) ).
cnf(cls_Set_OUn__absorb_0,axiom,
c_union(X1,X1,X2) = X1,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Set_OUn__absorb_0) ).
cnf(cls_Public_OCrypt__notin__used__empty_0,axiom,
~ c_in(c_Message_Omsg_OCrypt(X1,X2),c_Event_Oused(c_List_Olist_ONil),tc_Message_Omsg),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Public_OCrypt__notin__used__empty_0) ).
cnf(cls_Public_OshrK__in__used_0,axiom,
c_in(c_Message_Omsg_OKey(c_Public_OshrK(X1)),c_Event_Oused(X2),tc_Message_Omsg),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Public_OshrK__in__used_0) ).
cnf(cls_Message_Oparts__insert__Agent_0,axiom,
c_Message_Oparts(c_insert(c_Message_Omsg_OAgent(X1),X2,tc_Message_Omsg)) = c_insert(c_Message_Omsg_OAgent(X1),c_Message_Oparts(X2),tc_Message_Omsg),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Message_Oparts__insert__Agent_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_Message_Oanalz__parts_0,axiom,
c_Message_Oanalz(c_Message_Oparts(X1)) = c_Message_Oparts(X1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Message_Oanalz__parts_0) ).
cnf(cls_Public_OshrK__in__initState_0,axiom,
c_in(c_Message_Omsg_OKey(c_Public_OshrK(X1)),c_Event_OinitState(X1),tc_Message_Omsg),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Public_OshrK__in__initState_0) ).
cnf(cls_Public_ONonce__notin__initState_0,axiom,
~ c_in(c_Message_Omsg_ONonce(X1),c_Message_Oparts(c_Event_OinitState(X2)),tc_Message_Omsg),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Public_ONonce__notin__initState_0) ).
cnf(cls_Message_Osynth_OMPair_0,axiom,
( c_in(c_Message_Omsg_OMPair(X3,X1),c_Message_Osynth(X2),tc_Message_Omsg)
| ~ c_in(X1,c_Message_Osynth(X2),tc_Message_Omsg)
| ~ c_in(X3,c_Message_Osynth(X2),tc_Message_Omsg) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Message_Osynth_OMPair_0) ).
cnf(cls_Message_OAgent__synth_0,axiom,
c_in(c_Message_Omsg_OAgent(X1),c_Message_Osynth(X2),tc_Message_Omsg),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Message_OAgent__synth_0) ).
cnf(cls_Message_OKey__synth__eq_0,axiom,
( c_in(c_Message_Omsg_OKey(X1),X2,tc_Message_Omsg)
| ~ c_in(c_Message_Omsg_OKey(X1),c_Message_Osynth(X2),tc_Message_Omsg) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Message_OKey__synth__eq_0) ).
cnf(c_0_32,negated_conjecture,
( ~ c_in(v_A,c_Event_Obad,tc_Message_Oagent)
| ~ c_in(c_Message_Omsg_OKey(c_Public_OshrK(v_A)),c_Message_Oparts(c_insert(v_X,c_insert(c_Message_Omsg_OCrypt(c_Public_OshrK(v_B),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NA),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa),c_Message_Omsg_OAgent(v_B))))),c_Event_Oknows(c_Message_Oagent_OSpy,v_evs2),tc_Message_Omsg),tc_Message_Omsg)),tc_Message_Omsg) ),
cls_conjecture_5 ).
cnf(c_0_33,axiom,
( c_in(X1,c_Message_Oparts(X2),tc_Message_Omsg)
| ~ c_in(X1,X2,tc_Message_Omsg) ),
cls_Message_Oparts_OInj_0 ).
cnf(c_0_34,negated_conjecture,
( ~ c_in(c_Message_Omsg_OKey(c_Public_OshrK(v_A)),c_insert(v_X,c_insert(c_Message_Omsg_OCrypt(c_Public_OshrK(v_B),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NA),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa),c_Message_Omsg_OAgent(v_B))))),c_Event_Oknows(c_Message_Oagent_OSpy,v_evs2),tc_Message_Omsg),tc_Message_Omsg),tc_Message_Omsg)
| ~ c_in(v_A,c_Event_Obad,tc_Message_Oagent) ),
inference(spm,[status(thm)],[c_0_32,c_0_33]) ).
cnf(c_0_35,axiom,
( c_in(X1,c_insert(X4,X2,X3),X3)
| ~ c_in(X1,X2,X3) ),
cls_Set_Oinsert__iff_2 ).
cnf(c_0_36,negated_conjecture,
( c_in(v_A,c_Event_Obad,tc_Message_Oagent)
| ~ c_in(c_Message_Omsg_OKey(c_Public_OshrK(v_A)),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs2)),tc_Message_Omsg) ),
cls_conjecture_3 ).
cnf(c_0_37,negated_conjecture,
( ~ c_in(c_Message_Omsg_OKey(c_Public_OshrK(v_A)),c_insert(c_Message_Omsg_OCrypt(c_Public_OshrK(v_B),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NA),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa),c_Message_Omsg_OAgent(v_B))))),c_Event_Oknows(c_Message_Oagent_OSpy,v_evs2),tc_Message_Omsg),tc_Message_Omsg)
| ~ c_in(v_A,c_Event_Obad,tc_Message_Oagent) ),
inference(spm,[status(thm)],[c_0_34,c_0_35]) ).
cnf(c_0_38,negated_conjecture,
( c_in(v_A,c_Event_Obad,tc_Message_Oagent)
| ~ c_in(c_Message_Omsg_OKey(c_Public_OshrK(v_A)),c_Event_Oknows(c_Message_Oagent_OSpy,v_evs2),tc_Message_Omsg) ),
inference(spm,[status(thm)],[c_0_36,c_0_33]) ).
cnf(c_0_39,negated_conjecture,
~ c_in(c_Message_Omsg_OKey(c_Public_OshrK(v_A)),c_Event_Oknows(c_Message_Oagent_OSpy,v_evs2),tc_Message_Omsg),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_37,c_0_35]),c_0_38]) ).
cnf(c_0_40,axiom,
( c_in(c_Message_Omsg_OKey(c_Public_OshrK(X1)),c_Event_Oknows(c_Message_Oagent_OSpy,X2),tc_Message_Omsg)
| ~ c_in(X1,c_Event_Obad,tc_Message_Oagent) ),
cls_Public_OSpy__spies__bad__shrK_0 ).
cnf(c_0_41,negated_conjecture,
( c_in(c_Message_Omsg_OKey(c_Public_OshrK(v_A)),c_Message_Oparts(c_insert(v_X,c_insert(c_Message_Omsg_OCrypt(c_Public_OshrK(v_B),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NA),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa),c_Message_Omsg_OAgent(v_B))))),c_Event_Oknows(c_Message_Oagent_OSpy,v_evs2),tc_Message_Omsg),tc_Message_Omsg)),tc_Message_Omsg)
| c_in(v_A,c_Event_Obad,tc_Message_Oagent) ),
cls_conjecture_6 ).
cnf(c_0_42,negated_conjecture,
~ c_in(v_A,c_Event_Obad,tc_Message_Oagent),
inference(spm,[status(thm)],[c_0_39,c_0_40]) ).
cnf(c_0_43,axiom,
( c_in(X1,X3,X4)
| X1 = X2
| ~ c_in(X1,c_insert(X2,X3,X4),X4) ),
cls_Set_Oinsert__iff_0 ).
cnf(c_0_44,axiom,
c_Message_Oparts(c_insert(c_Message_Omsg_OCrypt(X1,X2),X3,tc_Message_Omsg)) = c_insert(c_Message_Omsg_OCrypt(X1,X2),c_Message_Oparts(c_insert(X2,X3,tc_Message_Omsg)),tc_Message_Omsg),
cls_Message_Oparts__insert__Crypt_0 ).
cnf(c_0_45,negated_conjecture,
c_in(c_Message_Omsg_OKey(c_Public_OshrK(v_A)),c_Message_Oparts(c_insert(v_X,c_insert(c_Message_Omsg_OCrypt(c_Public_OshrK(v_B),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NA),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa),c_Message_Omsg_OAgent(v_B))))),c_Event_Oknows(c_Message_Oagent_OSpy,v_evs2),tc_Message_Omsg),tc_Message_Omsg)),tc_Message_Omsg),
inference(sr,[status(thm)],[c_0_41,c_0_42]) ).
cnf(c_0_46,axiom,
( c_Message_Oparts(c_insert(X1,X2,tc_Message_Omsg)) = c_Message_Oparts(X2)
| ~ c_in(X1,c_Message_Oparts(X2),tc_Message_Omsg) ),
cls_Message_Oparts__cut__eq_0 ).
cnf(c_0_47,plain,
( X1 = c_Message_Omsg_OCrypt(X2,X3)
| c_in(X1,c_Message_Oparts(c_insert(X3,X4,tc_Message_Omsg)),tc_Message_Omsg)
| ~ c_in(X1,c_Message_Oparts(c_insert(c_Message_Omsg_OCrypt(X2,X3),X4,tc_Message_Omsg)),tc_Message_Omsg) ),
inference(spm,[status(thm)],[c_0_43,c_0_44]) ).
cnf(c_0_48,negated_conjecture,
( c_in(c_Message_Omsg_OKey(c_Public_OshrK(v_A)),c_Message_Oparts(c_insert(c_Message_Omsg_OCrypt(c_Public_OshrK(v_B),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NA),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa),c_Message_Omsg_OAgent(v_B))))),c_Event_Oknows(c_Message_Oagent_OSpy,v_evs2),tc_Message_Omsg)),tc_Message_Omsg)
| ~ c_in(v_X,c_Message_Oparts(c_insert(c_Message_Omsg_OCrypt(c_Public_OshrK(v_B),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NA),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa),c_Message_Omsg_OAgent(v_B))))),c_Event_Oknows(c_Message_Oagent_OSpy,v_evs2),tc_Message_Omsg)),tc_Message_Omsg) ),
inference(spm,[status(thm)],[c_0_45,c_0_46]) ).
cnf(c_0_49,axiom,
c_Message_Oparts(c_insert(c_Message_Omsg_OMPair(X1,X2),X3,tc_Message_Omsg)) = c_insert(c_Message_Omsg_OMPair(X1,X2),c_Message_Oparts(c_insert(X1,c_insert(X2,X3,tc_Message_Omsg),tc_Message_Omsg)),tc_Message_Omsg),
cls_Message_Oparts__insert__MPair_0 ).
cnf(c_0_50,negated_conjecture,
( c_Message_Omsg_OCrypt(c_Public_OshrK(v_B),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NA),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa),c_Message_Omsg_OAgent(v_B))))) = c_Message_Omsg_OKey(c_Public_OshrK(v_A))
| c_in(c_Message_Omsg_OKey(c_Public_OshrK(v_A)),c_Message_Oparts(c_insert(c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NA),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa),c_Message_Omsg_OAgent(v_B)))),c_Event_Oknows(c_Message_Oagent_OSpy,v_evs2),tc_Message_Omsg)),tc_Message_Omsg)
| ~ c_in(v_X,c_Message_Oparts(c_insert(c_Message_Omsg_OCrypt(c_Public_OshrK(v_B),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NA),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa),c_Message_Omsg_OAgent(v_B))))),c_Event_Oknows(c_Message_Oagent_OSpy,v_evs2),tc_Message_Omsg)),tc_Message_Omsg) ),
inference(spm,[status(thm)],[c_0_47,c_0_48]) ).
cnf(c_0_51,plain,
( c_in(X1,c_Message_Oparts(c_insert(c_Message_Omsg_OCrypt(X2,X3),X4,tc_Message_Omsg)),tc_Message_Omsg)
| ~ c_in(X1,c_Message_Oparts(c_insert(X3,X4,tc_Message_Omsg)),tc_Message_Omsg) ),
inference(spm,[status(thm)],[c_0_35,c_0_44]) ).
cnf(c_0_52,axiom,
( c_in(X2,c_Message_Oparts(X3),tc_Message_Omsg)
| ~ c_in(c_Message_Omsg_OMPair(X1,X2),c_Message_Oparts(X3),tc_Message_Omsg) ),
cls_Message_OMPair__parts_0 ).
cnf(c_0_53,axiom,
c_Message_Oparts(c_insert(c_Message_Omsg_ONonce(X1),X2,tc_Message_Omsg)) = c_insert(c_Message_Omsg_ONonce(X1),c_Message_Oparts(X2),tc_Message_Omsg),
cls_Message_Oparts__insert__Nonce_0 ).
cnf(c_0_54,plain,
( X1 = c_Message_Omsg_OMPair(X2,X3)
| c_in(X1,c_Message_Oparts(c_insert(X2,c_insert(X3,X4,tc_Message_Omsg),tc_Message_Omsg)),tc_Message_Omsg)
| ~ c_in(X1,c_Message_Oparts(c_insert(c_Message_Omsg_OMPair(X2,X3),X4,tc_Message_Omsg)),tc_Message_Omsg) ),
inference(spm,[status(thm)],[c_0_43,c_0_49]) ).
cnf(c_0_55,negated_conjecture,
( c_Message_Omsg_OCrypt(c_Public_OshrK(v_B),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NA),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa),c_Message_Omsg_OAgent(v_B))))) = c_Message_Omsg_OKey(c_Public_OshrK(v_A))
| c_in(c_Message_Omsg_OKey(c_Public_OshrK(v_A)),c_Message_Oparts(c_insert(c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NA),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa),c_Message_Omsg_OAgent(v_B)))),c_Event_Oknows(c_Message_Oagent_OSpy,v_evs2),tc_Message_Omsg)),tc_Message_Omsg)
| ~ c_in(v_X,c_Message_Oparts(c_insert(c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NA),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa),c_Message_Omsg_OAgent(v_B)))),c_Event_Oknows(c_Message_Oagent_OSpy,v_evs2),tc_Message_Omsg)),tc_Message_Omsg) ),
inference(spm,[status(thm)],[c_0_50,c_0_51]) ).
cnf(c_0_56,plain,
( c_in(X1,c_Message_Oparts(X2),tc_Message_Omsg)
| ~ c_in(c_Message_Omsg_OMPair(X3,X1),X2,tc_Message_Omsg) ),
inference(spm,[status(thm)],[c_0_52,c_0_33]) ).
cnf(c_0_57,axiom,
( c_in(X3,c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,X4)),tc_Message_Omsg)
| ~ c_in(c_Event_Oevent_OSays(X1,X2,X3),c_List_Oset(X4,tc_Event_Oevent),tc_Event_Oevent) ),
cls_Event_OSays__imp__analz__Spy__dest_0 ).
cnf(c_0_58,axiom,
( c_in(c_Event_Oevent_OSays(v_sko__usf(X2,X3,X1),X2,X3),c_List_Oset(X1,tc_Event_Oevent),tc_Event_Oevent)
| ~ c_in(X1,c_OtwayRees_Ootway,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_OtwayRees_OGets__imp__Says__dest_0 ).
cnf(c_0_59,axiom,
c_Message_Oparts(c_union(X1,X2,tc_Message_Omsg)) = c_union(c_Message_Oparts(X1),c_Message_Oparts(X2),tc_Message_Omsg),
cls_Message_Oparts__Un_0 ).
cnf(c_0_60,axiom,
c_Message_Oparts(c_Message_Oparts(X1)) = c_Message_Oparts(X1),
cls_Message_Oparts__idem_0 ).
cnf(c_0_61,plain,
( X1 = c_Message_Omsg_ONonce(X2)
| c_in(X1,c_Message_Oparts(X3),tc_Message_Omsg)
| ~ c_in(X1,c_Message_Oparts(c_insert(c_Message_Omsg_ONonce(X2),X3,tc_Message_Omsg)),tc_Message_Omsg) ),
inference(spm,[status(thm)],[c_0_43,c_0_53]) ).
cnf(c_0_62,negated_conjecture,
( c_Message_Omsg_OCrypt(c_Public_OshrK(v_B),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NA),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa),c_Message_Omsg_OAgent(v_B))))) = c_Message_Omsg_OKey(c_Public_OshrK(v_A))
| c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NA),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa),c_Message_Omsg_OAgent(v_B)))) = c_Message_Omsg_OKey(c_Public_OshrK(v_A))
| c_in(c_Message_Omsg_OKey(c_Public_OshrK(v_A)),c_Message_Oparts(c_insert(c_Message_Omsg_ONonce(v_NA),c_insert(c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa),c_Message_Omsg_OAgent(v_B))),c_Event_Oknows(c_Message_Oagent_OSpy,v_evs2),tc_Message_Omsg),tc_Message_Omsg)),tc_Message_Omsg)
| ~ c_in(v_X,c_Message_Oparts(c_insert(c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NA),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa),c_Message_Omsg_OAgent(v_B)))),c_Event_Oknows(c_Message_Oagent_OSpy,v_evs2),tc_Message_Omsg)),tc_Message_Omsg) ),
inference(spm,[status(thm)],[c_0_54,c_0_55]) ).
cnf(c_0_63,plain,
( c_in(X1,c_Message_Oparts(c_insert(X2,X3,tc_Message_Omsg)),tc_Message_Omsg)
| ~ c_in(c_Message_Omsg_OMPair(X4,X1),X3,tc_Message_Omsg) ),
inference(spm,[status(thm)],[c_0_56,c_0_35]) ).
cnf(c_0_64,plain,
( c_in(X1,c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,X2)),tc_Message_Omsg)
| ~ c_in(c_Event_Oevent_OGets(X3,X1),c_List_Oset(X2,tc_Event_Oevent),tc_Event_Oevent)
| ~ c_in(X2,c_OtwayRees_Ootway,tc_List_Olist(tc_Event_Oevent)) ),
inference(spm,[status(thm)],[c_0_57,c_0_58]) ).
cnf(c_0_65,negated_conjecture,
c_in(c_Event_Oevent_OGets(v_B,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NA),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_B),v_X)))),c_List_Oset(v_evs2,tc_Event_Oevent),tc_Event_Oevent),
cls_conjecture_2 ).
cnf(c_0_66,negated_conjecture,
c_in(v_evs2,c_OtwayRees_Ootway,tc_List_Olist(tc_Event_Oevent)),
cls_conjecture_0 ).
cnf(c_0_67,plain,
c_Message_Oparts(c_union(c_Message_Oparts(X1),X2,tc_Message_Omsg)) = c_Message_Oparts(c_union(X1,X2,tc_Message_Omsg)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_59,c_0_60]),c_0_59]) ).
cnf(c_0_68,axiom,
c_union(X1,c_insert(X2,X3,X4),X4) = c_insert(X2,c_union(X1,X3,X4),X4),
cls_Set_OUn__insert__right_0 ).
cnf(c_0_69,plain,
c_Message_Oparts(c_union(X1,c_Message_Oparts(X2),tc_Message_Omsg)) = c_Message_Oparts(c_union(X1,X2,tc_Message_Omsg)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_59,c_0_60]),c_0_59]) ).
cnf(c_0_70,axiom,
c_union(c_insert(X1,X2,X3),X4,X3) = c_insert(X1,c_union(X2,X4,X3),X3),
cls_Set_OUn__insert__left_0 ).
cnf(c_0_71,negated_conjecture,
( c_Message_Omsg_OCrypt(c_Public_OshrK(v_B),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NA),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa),c_Message_Omsg_OAgent(v_B))))) = c_Message_Omsg_OKey(c_Public_OshrK(v_A))
| c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NA),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa),c_Message_Omsg_OAgent(v_B)))) = c_Message_Omsg_OKey(c_Public_OshrK(v_A))
| c_Message_Omsg_OKey(c_Public_OshrK(v_A)) = c_Message_Omsg_ONonce(v_NA)
| c_in(c_Message_Omsg_OKey(c_Public_OshrK(v_A)),c_Message_Oparts(c_insert(c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa),c_Message_Omsg_OAgent(v_B))),c_Event_Oknows(c_Message_Oagent_OSpy,v_evs2),tc_Message_Omsg)),tc_Message_Omsg)
| ~ c_in(v_X,c_Message_Oparts(c_insert(c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NA),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa),c_Message_Omsg_OAgent(v_B)))),c_Event_Oknows(c_Message_Oagent_OSpy,v_evs2),tc_Message_Omsg)),tc_Message_Omsg) ),
inference(spm,[status(thm)],[c_0_61,c_0_62]) ).
cnf(c_0_72,plain,
( c_in(X1,c_Message_Oparts(c_insert(X2,c_Message_Oparts(X3),tc_Message_Omsg)),tc_Message_Omsg)
| ~ c_in(c_Message_Omsg_OMPair(X4,X1),X3,tc_Message_Omsg) ),
inference(spm,[status(thm)],[c_0_63,c_0_33]) ).
cnf(c_0_73,negated_conjecture,
c_in(c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NA),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_B),v_X))),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs2)),tc_Message_Omsg),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_64,c_0_65]),c_0_66])]) ).
cnf(c_0_74,axiom,
c_Message_Oparts(c_Message_Oanalz(X1)) = c_Message_Oparts(X1),
cls_Message_Oparts__analz_0 ).
cnf(c_0_75,plain,
c_Message_Oparts(c_insert(X1,c_union(c_Message_Oparts(X2),X3,tc_Message_Omsg),tc_Message_Omsg)) = c_Message_Oparts(c_insert(X1,c_union(X2,X3,tc_Message_Omsg),tc_Message_Omsg)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_67,c_0_68]),c_0_68]) ).
cnf(c_0_76,axiom,
c_union(X1,X1,X2) = X1,
cls_Set_OUn__absorb_0 ).
cnf(c_0_77,plain,
c_Message_Oparts(c_insert(X1,c_union(X2,c_Message_Oparts(X3),tc_Message_Omsg),tc_Message_Omsg)) = c_Message_Oparts(c_insert(X1,c_union(X2,X3,tc_Message_Omsg),tc_Message_Omsg)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_69,c_0_70]),c_0_70]) ).
cnf(c_0_78,negated_conjecture,
( c_Message_Omsg_OCrypt(c_Public_OshrK(v_B),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NA),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa),c_Message_Omsg_OAgent(v_B))))) = c_Message_Omsg_OKey(c_Public_OshrK(v_A))
| c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NA),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa),c_Message_Omsg_OAgent(v_B)))) = c_Message_Omsg_OKey(c_Public_OshrK(v_A))
| c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa),c_Message_Omsg_OAgent(v_B))) = c_Message_Omsg_OKey(c_Public_OshrK(v_A))
| c_Message_Omsg_OKey(c_Public_OshrK(v_A)) = c_Message_Omsg_ONonce(v_NA)
| c_in(c_Message_Omsg_OKey(c_Public_OshrK(v_A)),c_Message_Oparts(c_insert(c_Message_Omsg_ONonce(v_NB),c_insert(c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa),c_Message_Omsg_OAgent(v_B)),c_Event_Oknows(c_Message_Oagent_OSpy,v_evs2),tc_Message_Omsg),tc_Message_Omsg)),tc_Message_Omsg)
| ~ c_in(v_X,c_Message_Oparts(c_insert(c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NA),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa),c_Message_Omsg_OAgent(v_B)))),c_Event_Oknows(c_Message_Oagent_OSpy,v_evs2),tc_Message_Omsg)),tc_Message_Omsg) ),
inference(spm,[status(thm)],[c_0_54,c_0_71]) ).
cnf(c_0_79,negated_conjecture,
c_in(c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_B),v_X)),c_Message_Oparts(c_insert(X1,c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs2)),tc_Message_Omsg)),tc_Message_Omsg),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_72,c_0_73]),c_0_74]) ).
cnf(c_0_80,plain,
c_Message_Oparts(c_insert(X1,c_Message_Oparts(X2),tc_Message_Omsg)) = c_Message_Oparts(c_insert(X1,X2,tc_Message_Omsg)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_75,c_0_76]),c_0_77]),c_0_76]) ).
cnf(c_0_81,negated_conjecture,
( c_Message_Omsg_OCrypt(c_Public_OshrK(v_B),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NA),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa),c_Message_Omsg_OAgent(v_B))))) = c_Message_Omsg_OKey(c_Public_OshrK(v_A))
| c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NA),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa),c_Message_Omsg_OAgent(v_B)))) = c_Message_Omsg_OKey(c_Public_OshrK(v_A))
| c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa),c_Message_Omsg_OAgent(v_B))) = c_Message_Omsg_OKey(c_Public_OshrK(v_A))
| c_Message_Omsg_OKey(c_Public_OshrK(v_A)) = c_Message_Omsg_ONonce(v_NA)
| c_Message_Omsg_OKey(c_Public_OshrK(v_A)) = c_Message_Omsg_ONonce(v_NB)
| c_in(c_Message_Omsg_OKey(c_Public_OshrK(v_A)),c_Message_Oparts(c_insert(c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa),c_Message_Omsg_OAgent(v_B)),c_Event_Oknows(c_Message_Oagent_OSpy,v_evs2),tc_Message_Omsg)),tc_Message_Omsg)
| ~ c_in(v_X,c_Message_Oparts(c_insert(c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NA),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa),c_Message_Omsg_OAgent(v_B)))),c_Event_Oknows(c_Message_Oagent_OSpy,v_evs2),tc_Message_Omsg)),tc_Message_Omsg) ),
inference(spm,[status(thm)],[c_0_61,c_0_78]) ).
cnf(c_0_82,plain,
( c_in(X1,c_Message_Oparts(c_insert(c_Message_Omsg_OMPair(X2,X3),X4,tc_Message_Omsg)),tc_Message_Omsg)
| ~ c_in(X1,c_Message_Oparts(c_insert(X2,c_insert(X3,X4,tc_Message_Omsg),tc_Message_Omsg)),tc_Message_Omsg) ),
inference(spm,[status(thm)],[c_0_35,c_0_49]) ).
cnf(c_0_83,negated_conjecture,
c_in(c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_B),v_X)),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs2)),tc_Message_Omsg),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_56,c_0_73]),c_0_74]) ).
cnf(c_0_84,negated_conjecture,
c_in(c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_B),v_X)),c_Message_Oparts(c_insert(X1,c_Event_Oknows(c_Message_Oagent_OSpy,v_evs2),tc_Message_Omsg)),tc_Message_Omsg),
inference(rw,[status(thm)],[c_0_79,c_0_80]) ).
cnf(c_0_85,negated_conjecture,
( c_Message_Omsg_OCrypt(c_Public_OshrK(v_B),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NA),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa),c_Message_Omsg_OAgent(v_B))))) = c_Message_Omsg_OKey(c_Public_OshrK(v_A))
| c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NA),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa),c_Message_Omsg_OAgent(v_B)))) = c_Message_Omsg_OKey(c_Public_OshrK(v_A))
| c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa),c_Message_Omsg_OAgent(v_B))) = c_Message_Omsg_OKey(c_Public_OshrK(v_A))
| c_Message_Omsg_OKey(c_Public_OshrK(v_A)) = c_Message_Omsg_ONonce(v_NB)
| c_Message_Omsg_OKey(c_Public_OshrK(v_A)) = c_Message_Omsg_ONonce(v_NA)
| c_in(c_Message_Omsg_OKey(c_Public_OshrK(v_A)),c_Message_Oparts(c_insert(c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa),c_Message_Omsg_OAgent(v_B)),c_Event_Oknows(c_Message_Oagent_OSpy,v_evs2),tc_Message_Omsg)),tc_Message_Omsg)
| ~ c_in(v_X,c_Message_Oparts(c_insert(c_Message_Omsg_ONonce(v_NA),c_insert(c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa),c_Message_Omsg_OAgent(v_B))),c_Event_Oknows(c_Message_Oagent_OSpy,v_evs2),tc_Message_Omsg),tc_Message_Omsg)),tc_Message_Omsg) ),
inference(spm,[status(thm)],[c_0_81,c_0_82]) ).
cnf(c_0_86,plain,
( c_in(X1,c_Message_Oparts(c_insert(c_Message_Omsg_ONonce(X2),X3,tc_Message_Omsg)),tc_Message_Omsg)
| ~ c_in(X1,c_Message_Oparts(X3),tc_Message_Omsg) ),
inference(spm,[status(thm)],[c_0_35,c_0_53]) ).
cnf(c_0_87,negated_conjecture,
c_in(c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_B),v_X),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs2)),tc_Message_Omsg),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_56,c_0_83]),c_0_60]) ).
cnf(c_0_88,plain,
( c_Message_Oparts(c_insert(c_Message_Omsg_OMPair(X1,X2),X3,tc_Message_Omsg)) = c_Message_Oparts(c_insert(X1,c_insert(X2,X3,tc_Message_Omsg),tc_Message_Omsg))
| ~ c_in(c_Message_Omsg_OMPair(X1,X2),c_Message_Oparts(c_insert(X1,c_insert(X2,X3,tc_Message_Omsg),tc_Message_Omsg)),tc_Message_Omsg) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_46,c_0_49]),c_0_60]),c_0_60]),c_0_60]) ).
cnf(c_0_89,negated_conjecture,
c_in(c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_B),v_X),c_Message_Oparts(c_insert(X1,c_insert(X2,c_Event_Oknows(c_Message_Oagent_OSpy,v_evs2),tc_Message_Omsg),tc_Message_Omsg)),tc_Message_Omsg),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_63,c_0_84]),c_0_80]) ).
cnf(c_0_90,axiom,
~ c_in(c_Message_Omsg_OCrypt(X1,X2),c_Event_Oused(c_List_Olist_ONil),tc_Message_Omsg),
cls_Public_OCrypt__notin__used__empty_0 ).
cnf(c_0_91,negated_conjecture,
( c_Message_Omsg_OCrypt(c_Public_OshrK(v_B),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NA),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa),c_Message_Omsg_OAgent(v_B))))) = c_Message_Omsg_OKey(c_Public_OshrK(v_A))
| c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NA),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa),c_Message_Omsg_OAgent(v_B)))) = c_Message_Omsg_OKey(c_Public_OshrK(v_A))
| c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa),c_Message_Omsg_OAgent(v_B))) = c_Message_Omsg_OKey(c_Public_OshrK(v_A))
| c_Message_Omsg_OKey(c_Public_OshrK(v_A)) = c_Message_Omsg_ONonce(v_NA)
| c_Message_Omsg_OKey(c_Public_OshrK(v_A)) = c_Message_Omsg_ONonce(v_NB)
| c_in(c_Message_Omsg_OKey(c_Public_OshrK(v_A)),c_Message_Oparts(c_insert(c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa),c_Message_Omsg_OAgent(v_B)),c_Event_Oknows(c_Message_Oagent_OSpy,v_evs2),tc_Message_Omsg)),tc_Message_Omsg)
| ~ c_in(v_X,c_Message_Oparts(c_insert(c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa),c_Message_Omsg_OAgent(v_B))),c_Event_Oknows(c_Message_Oagent_OSpy,v_evs2),tc_Message_Omsg)),tc_Message_Omsg) ),
inference(spm,[status(thm)],[c_0_85,c_0_86]) ).
cnf(c_0_92,axiom,
c_in(c_Message_Omsg_OKey(c_Public_OshrK(X1)),c_Event_Oused(X2),tc_Message_Omsg),
cls_Public_OshrK__in__used_0 ).
cnf(c_0_93,negated_conjecture,
c_in(v_X,c_Message_Oparts(c_insert(X1,c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs2)),tc_Message_Omsg)),tc_Message_Omsg),
inference(spm,[status(thm)],[c_0_63,c_0_87]) ).
cnf(c_0_94,axiom,
c_Message_Oparts(c_insert(c_Message_Omsg_OAgent(X1),X2,tc_Message_Omsg)) = c_insert(c_Message_Omsg_OAgent(X1),c_Message_Oparts(X2),tc_Message_Omsg),
cls_Message_Oparts__insert__Agent_0 ).
cnf(c_0_95,negated_conjecture,
c_Message_Oparts(c_insert(c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_B),v_X),c_Event_Oknows(c_Message_Oagent_OSpy,v_evs2),tc_Message_Omsg)) = c_Message_Oparts(c_insert(c_Message_Omsg_OAgent(v_B),c_insert(v_X,c_Event_Oknows(c_Message_Oagent_OSpy,v_evs2),tc_Message_Omsg),tc_Message_Omsg)),
inference(spm,[status(thm)],[c_0_88,c_0_89]) ).
cnf(c_0_96,negated_conjecture,
( c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NA),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa),c_Message_Omsg_OAgent(v_B)))) = c_Message_Omsg_OKey(c_Public_OshrK(v_A))
| c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa),c_Message_Omsg_OAgent(v_B))) = c_Message_Omsg_OKey(c_Public_OshrK(v_A))
| c_Message_Omsg_OKey(c_Public_OshrK(v_A)) = c_Message_Omsg_ONonce(v_NB)
| c_Message_Omsg_OKey(c_Public_OshrK(v_A)) = c_Message_Omsg_ONonce(v_NA)
| c_in(c_Message_Omsg_OKey(c_Public_OshrK(v_A)),c_Message_Oparts(c_insert(c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa),c_Message_Omsg_OAgent(v_B)),c_Event_Oknows(c_Message_Oagent_OSpy,v_evs2),tc_Message_Omsg)),tc_Message_Omsg)
| ~ c_in(v_X,c_Message_Oparts(c_insert(c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa),c_Message_Omsg_OAgent(v_B))),c_Event_Oknows(c_Message_Oagent_OSpy,v_evs2),tc_Message_Omsg)),tc_Message_Omsg) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_90,c_0_91]),c_0_92])]) ).
cnf(c_0_97,negated_conjecture,
c_in(v_X,c_Message_Oparts(c_insert(X1,c_Event_Oknows(c_Message_Oagent_OSpy,v_evs2),tc_Message_Omsg)),tc_Message_Omsg),
inference(rw,[status(thm)],[c_0_93,c_0_80]) ).
cnf(c_0_98,plain,
( c_Message_Oparts(c_insert(c_Message_Omsg_OAgent(X1),c_insert(X2,X3,tc_Message_Omsg),tc_Message_Omsg)) = c_Message_Oparts(c_insert(c_Message_Omsg_OAgent(X1),X3,tc_Message_Omsg))
| ~ c_in(X2,c_Message_Oparts(X3),tc_Message_Omsg) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_94,c_0_46]),c_0_94]) ).
cnf(c_0_99,negated_conjecture,
c_Message_Oparts(c_insert(c_Message_Omsg_OAgent(v_B),c_insert(v_X,c_Event_Oknows(c_Message_Oagent_OSpy,v_evs2),tc_Message_Omsg),tc_Message_Omsg)) = c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs2)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_46,c_0_95]),c_0_87])]) ).
cnf(c_0_100,negated_conjecture,
c_in(v_X,c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs2)),tc_Message_Omsg),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_56,c_0_87]),c_0_60]) ).
cnf(c_0_101,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_102,axiom,
c_Message_Oanalz(c_Message_Oparts(X1)) = c_Message_Oparts(X1),
cls_Message_Oanalz__parts_0 ).
cnf(c_0_103,negated_conjecture,
( c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NA),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa),c_Message_Omsg_OAgent(v_B)))) = c_Message_Omsg_OKey(c_Public_OshrK(v_A))
| c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa),c_Message_Omsg_OAgent(v_B))) = c_Message_Omsg_OKey(c_Public_OshrK(v_A))
| c_Message_Omsg_OKey(c_Public_OshrK(v_A)) = c_Message_Omsg_ONonce(v_NA)
| c_Message_Omsg_OKey(c_Public_OshrK(v_A)) = c_Message_Omsg_ONonce(v_NB)
| c_in(c_Message_Omsg_OKey(c_Public_OshrK(v_A)),c_Message_Oparts(c_insert(c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa),c_Message_Omsg_OAgent(v_B)),c_Event_Oknows(c_Message_Oagent_OSpy,v_evs2),tc_Message_Omsg)),tc_Message_Omsg) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_96,c_0_97])]) ).
cnf(c_0_104,negated_conjecture,
c_Message_Oparts(c_insert(c_Message_Omsg_OAgent(v_B),c_Event_Oknows(c_Message_Oagent_OSpy,v_evs2),tc_Message_Omsg)) = c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs2)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_98,c_0_99]),c_0_100])]) ).
cnf(c_0_105,plain,
( c_in(X1,c_Message_Oparts(X2),tc_Message_Omsg)
| ~ c_in(c_Message_Omsg_OMPair(X1,X3),c_Message_Oparts(X2),tc_Message_Omsg) ),
inference(spm,[status(thm)],[c_0_101,c_0_102]) ).
cnf(c_0_106,plain,
( c_in(X1,c_Message_Oparts(X2),tc_Message_Omsg)
| ~ c_in(X1,c_insert(X3,X2,tc_Message_Omsg),tc_Message_Omsg)
| ~ c_in(X3,c_Message_Oparts(X2),tc_Message_Omsg) ),
inference(spm,[status(thm)],[c_0_33,c_0_46]) ).
cnf(c_0_107,negated_conjecture,
( c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NA),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa),c_Message_Omsg_OAgent(v_B)))) = c_Message_Omsg_OKey(c_Public_OshrK(v_A))
| c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa),c_Message_Omsg_OAgent(v_B))) = c_Message_Omsg_OKey(c_Public_OshrK(v_A))
| c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa),c_Message_Omsg_OAgent(v_B)) = c_Message_Omsg_OKey(c_Public_OshrK(v_A))
| c_Message_Omsg_OKey(c_Public_OshrK(v_A)) = c_Message_Omsg_ONonce(v_NB)
| c_Message_Omsg_OKey(c_Public_OshrK(v_A)) = c_Message_Omsg_ONonce(v_NA)
| c_in(c_Message_Omsg_OKey(c_Public_OshrK(v_A)),c_Message_Oparts(c_insert(c_Message_Omsg_OAgent(v_Aa),c_insert(c_Message_Omsg_OAgent(v_B),c_Event_Oknows(c_Message_Oagent_OSpy,v_evs2),tc_Message_Omsg),tc_Message_Omsg)),tc_Message_Omsg) ),
inference(spm,[status(thm)],[c_0_54,c_0_103]) ).
cnf(c_0_108,negated_conjecture,
c_Message_Oparts(c_insert(X1,c_insert(c_Message_Omsg_OAgent(v_B),c_Event_Oknows(c_Message_Oagent_OSpy,v_evs2),tc_Message_Omsg),tc_Message_Omsg)) = c_Message_Oparts(c_insert(X1,c_Event_Oknows(c_Message_Oagent_OSpy,v_evs2),tc_Message_Omsg)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_80,c_0_104]),c_0_80]) ).
cnf(c_0_109,plain,
( c_in(X1,c_Message_Oparts(X2),tc_Message_Omsg)
| ~ c_in(c_Message_Omsg_OMPair(X1,X3),X2,tc_Message_Omsg) ),
inference(spm,[status(thm)],[c_0_105,c_0_33]) ).
cnf(c_0_110,plain,
( c_in(X1,c_Message_Oparts(X2),tc_Message_Omsg)
| ~ c_in(X1,c_Message_Oparts(c_insert(c_Message_Omsg_OAgent(X3),X2,tc_Message_Omsg)),tc_Message_Omsg)
| ~ c_in(c_Message_Omsg_OAgent(X3),c_Message_Oparts(X2),tc_Message_Omsg) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_106,c_0_94]),c_0_60]),c_0_60]) ).
cnf(c_0_111,negated_conjecture,
( c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NA),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa),c_Message_Omsg_OAgent(v_B)))) = c_Message_Omsg_OKey(c_Public_OshrK(v_A))
| c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa),c_Message_Omsg_OAgent(v_B))) = c_Message_Omsg_OKey(c_Public_OshrK(v_A))
| c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa),c_Message_Omsg_OAgent(v_B)) = c_Message_Omsg_OKey(c_Public_OshrK(v_A))
| c_Message_Omsg_OKey(c_Public_OshrK(v_A)) = c_Message_Omsg_ONonce(v_NA)
| c_Message_Omsg_OKey(c_Public_OshrK(v_A)) = c_Message_Omsg_ONonce(v_NB)
| c_in(c_Message_Omsg_OKey(c_Public_OshrK(v_A)),c_Message_Oparts(c_insert(c_Message_Omsg_OAgent(v_Aa),c_Event_Oknows(c_Message_Oagent_OSpy,v_evs2),tc_Message_Omsg)),tc_Message_Omsg) ),
inference(rw,[status(thm)],[c_0_107,c_0_108]) ).
cnf(c_0_112,negated_conjecture,
c_in(c_Message_Omsg_OAgent(v_Aa),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs2)),tc_Message_Omsg),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_109,c_0_83]),c_0_60]) ).
cnf(c_0_113,negated_conjecture,
( c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NA),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa),c_Message_Omsg_OAgent(v_B)))) = c_Message_Omsg_OKey(c_Public_OshrK(v_A))
| c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa),c_Message_Omsg_OAgent(v_B))) = c_Message_Omsg_OKey(c_Public_OshrK(v_A))
| c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa),c_Message_Omsg_OAgent(v_B)) = c_Message_Omsg_OKey(c_Public_OshrK(v_A))
| c_Message_Omsg_OKey(c_Public_OshrK(v_A)) = c_Message_Omsg_ONonce(v_NB)
| c_Message_Omsg_OKey(c_Public_OshrK(v_A)) = c_Message_Omsg_ONonce(v_NA)
| c_in(c_Message_Omsg_OKey(c_Public_OshrK(v_A)),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs2)),tc_Message_Omsg) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_110,c_0_111]),c_0_112])]) ).
cnf(c_0_114,negated_conjecture,
( c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa),c_Message_Omsg_OAgent(v_B))) = c_Message_Omsg_OKey(c_Public_OshrK(v_A))
| c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa),c_Message_Omsg_OAgent(v_B)) = c_Message_Omsg_OKey(c_Public_OshrK(v_A))
| c_Message_Omsg_OKey(c_Public_OshrK(v_A)) = c_Message_Omsg_ONonce(v_NA)
| c_Message_Omsg_OKey(c_Public_OshrK(v_A)) = c_Message_Omsg_ONonce(v_NB)
| c_in(c_Message_Omsg_OKey(c_Public_OshrK(v_A)),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs2)),tc_Message_Omsg)
| c_in(c_Message_Omsg_ONonce(v_NA),c_Message_Oparts(X1),tc_Message_Omsg)
| ~ c_in(c_Message_Omsg_OKey(c_Public_OshrK(v_A)),X1,tc_Message_Omsg) ),
inference(spm,[status(thm)],[c_0_109,c_0_113]) ).
cnf(c_0_115,axiom,
c_in(c_Message_Omsg_OKey(c_Public_OshrK(X1)),c_Event_OinitState(X1),tc_Message_Omsg),
cls_Public_OshrK__in__initState_0 ).
cnf(c_0_116,axiom,
~ c_in(c_Message_Omsg_ONonce(X1),c_Message_Oparts(c_Event_OinitState(X2)),tc_Message_Omsg),
cls_Public_ONonce__notin__initState_0 ).
cnf(c_0_117,negated_conjecture,
( c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa),c_Message_Omsg_OAgent(v_B))) = c_Message_Omsg_OKey(c_Public_OshrK(v_A))
| c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa),c_Message_Omsg_OAgent(v_B)) = c_Message_Omsg_OKey(c_Public_OshrK(v_A))
| c_Message_Omsg_OKey(c_Public_OshrK(v_A)) = c_Message_Omsg_ONonce(v_NB)
| c_Message_Omsg_OKey(c_Public_OshrK(v_A)) = c_Message_Omsg_ONonce(v_NA)
| c_in(c_Message_Omsg_OKey(c_Public_OshrK(v_A)),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs2)),tc_Message_Omsg) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_114,c_0_115]),c_0_116]) ).
cnf(c_0_118,negated_conjecture,
( c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa),c_Message_Omsg_OAgent(v_B))) = c_Message_Omsg_OKey(c_Public_OshrK(v_A))
| c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa),c_Message_Omsg_OAgent(v_B)) = c_Message_Omsg_OKey(c_Public_OshrK(v_A))
| c_Message_Omsg_OKey(c_Public_OshrK(v_A)) = c_Message_Omsg_ONonce(v_NA)
| c_Message_Omsg_OKey(c_Public_OshrK(v_A)) = c_Message_Omsg_ONonce(v_NB) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_36,c_0_117]),c_0_42]) ).
cnf(c_0_119,negated_conjecture,
( c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa),c_Message_Omsg_OAgent(v_B)) = c_Message_Omsg_OKey(c_Public_OshrK(v_A))
| c_Message_Omsg_OKey(c_Public_OshrK(v_A)) = c_Message_Omsg_ONonce(v_NB)
| c_Message_Omsg_OKey(c_Public_OshrK(v_A)) = c_Message_Omsg_ONonce(v_NA)
| c_in(c_Message_Omsg_ONonce(v_NB),c_Message_Oparts(X1),tc_Message_Omsg)
| ~ c_in(c_Message_Omsg_OKey(c_Public_OshrK(v_A)),X1,tc_Message_Omsg) ),
inference(spm,[status(thm)],[c_0_109,c_0_118]) ).
cnf(c_0_120,axiom,
( c_in(c_Message_Omsg_OMPair(X3,X1),c_Message_Osynth(X2),tc_Message_Omsg)
| ~ c_in(X1,c_Message_Osynth(X2),tc_Message_Omsg)
| ~ c_in(X3,c_Message_Osynth(X2),tc_Message_Omsg) ),
cls_Message_Osynth_OMPair_0 ).
cnf(c_0_121,negated_conjecture,
( c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa),c_Message_Omsg_OAgent(v_B)) = c_Message_Omsg_OKey(c_Public_OshrK(v_A))
| c_Message_Omsg_OKey(c_Public_OshrK(v_A)) = c_Message_Omsg_ONonce(v_NA)
| c_Message_Omsg_OKey(c_Public_OshrK(v_A)) = c_Message_Omsg_ONonce(v_NB) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_119,c_0_115]),c_0_116]) ).
cnf(c_0_122,axiom,
c_in(c_Message_Omsg_OAgent(X1),c_Message_Osynth(X2),tc_Message_Omsg),
cls_Message_OAgent__synth_0 ).
cnf(c_0_123,axiom,
( c_in(c_Message_Omsg_OKey(X1),X2,tc_Message_Omsg)
| ~ c_in(c_Message_Omsg_OKey(X1),c_Message_Osynth(X2),tc_Message_Omsg) ),
cls_Message_OKey__synth__eq_0 ).
cnf(c_0_124,negated_conjecture,
( c_Message_Omsg_OKey(c_Public_OshrK(v_A)) = c_Message_Omsg_ONonce(v_NB)
| c_Message_Omsg_OKey(c_Public_OshrK(v_A)) = c_Message_Omsg_ONonce(v_NA)
| c_in(c_Message_Omsg_OKey(c_Public_OshrK(v_A)),c_Message_Osynth(X1),tc_Message_Omsg) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_120,c_0_121]),c_0_122]),c_0_122])]) ).
cnf(c_0_125,negated_conjecture,
( c_Message_Omsg_OKey(c_Public_OshrK(v_A)) = c_Message_Omsg_ONonce(v_NA)
| c_Message_Omsg_OKey(c_Public_OshrK(v_A)) = c_Message_Omsg_ONonce(v_NB)
| c_in(c_Message_Omsg_OKey(c_Public_OshrK(v_A)),X1,tc_Message_Omsg) ),
inference(spm,[status(thm)],[c_0_123,c_0_124]) ).
cnf(c_0_126,negated_conjecture,
( c_Message_Omsg_OKey(c_Public_OshrK(v_A)) = c_Message_Omsg_ONonce(v_NB)
| c_Message_Omsg_OKey(c_Public_OshrK(v_A)) = c_Message_Omsg_ONonce(v_NA) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_36,c_0_125]),c_0_42]) ).
cnf(c_0_127,plain,
~ c_in(c_Message_Omsg_ONonce(X1),c_Event_OinitState(X2),tc_Message_Omsg),
inference(spm,[status(thm)],[c_0_116,c_0_33]) ).
cnf(c_0_128,negated_conjecture,
c_Message_Omsg_OKey(c_Public_OshrK(v_A)) = c_Message_Omsg_ONonce(v_NA),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_115,c_0_126]),c_0_127]) ).
cnf(c_0_129,negated_conjecture,
c_in(c_Message_Omsg_ONonce(v_NA),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs2)),tc_Message_Omsg),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_109,c_0_73]),c_0_74]) ).
cnf(c_0_130,negated_conjecture,
$false,
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_36,c_0_128]),c_0_129])]),c_0_42]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : SWV316-2 : TPTP v8.1.2. Released v3.2.0.
% 0.11/0.13 % Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s
% 0.13/0.34 % Computer : n024.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 : 300
% 0.13/0.34 % DateTime : Tue Aug 29 06:16:38 EDT 2023
% 0.13/0.34 % CPUTime :
% 0.19/0.55 start to proof: theBenchmark
% 0.73/0.79 % Version : CSE_E---1.5
% 0.73/0.79 % Problem : theBenchmark.p
% 0.73/0.79 % Proof found
% 0.73/0.79 % SZS status Theorem for theBenchmark.p
% 0.73/0.79 % SZS output start Proof
% See solution above
% 0.74/0.80 % Total time : 0.233000 s
% 0.74/0.80 % SZS output end Proof
% 0.74/0.80 % Total time : 0.236000 s
%------------------------------------------------------------------------------