%------------------------------------------------------------------------------
% File : CSE_E---1.7
% Problem : SWV316-2 : TPTP v9.2.1. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : /export/starexec/sandbox/solver/bin/lemma_parallel_prover %s --lemma-prover /export/starexec/sandbox/solver/bin/cse --final-prover /export/starexec/sandbox/solver/bin/eprover --proof-time %d --global-time-limit %d
% Computer : n013.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 : Tue May 5 05:21:36 PM UTC 2026
% Result : Unsatisfiable 1.55s 1.83s
% Output : CNFRefutation 1.55s
% Verified :
% SZS Type : Refutation
% Derivation depth : 38
% Number of leaves : 32
% Syntax : Number of clauses : 125 ( 44 unt; 36 nHn; 89 RR)
% Number of literals : 266 ( 82 equ; 83 neg)
% Maximal clause size : 5 ( 2 avg)
% Maximal term depth : 9 ( 2 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-3 aty)
% Number of functors : 32 ( 32 usr; 14 con; 0-3 aty)
% Number of variables : 188 ( 56 sgn)
% Comments :
%------------------------------------------------------------------------------
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/sandbox/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/sandbox/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/sandbox/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/sandbox/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/sandbox/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/sandbox/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/sandbox/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/sandbox/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/sandbox/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/sandbox/benchmark/theBenchmark.p',cls_Message_Oparts__insert__MPair_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/sandbox/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/sandbox/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/sandbox/benchmark/theBenchmark.p',cls_OtwayRees_OGets__imp__Says__dest_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/sandbox/benchmark/theBenchmark.p',cls_Message_OMPair__parts_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/sandbox/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/sandbox/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/sandbox/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/sandbox/benchmark/theBenchmark.p',cls_Message_Oanalz__parts_0) ).
cnf(cls_Message_Oparts__analz_0,axiom,
c_Message_Oparts(c_Message_Oanalz(X1)) = c_Message_Oparts(X1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Message_Oparts__analz_0) ).
cnf(cls_Message_Oparts__idem_0,axiom,
c_Message_Oparts(c_Message_Oparts(X1)) = c_Message_Oparts(X1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Message_Oparts__idem_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/sandbox/benchmark/theBenchmark.p',cls_Message_Oparts__insert__Agent_0) ).
cnf(cls_Message_OFake__analz__eq_0,axiom,
( c_Message_Osynth(c_Message_Oanalz(c_insert(X1,X2,tc_Message_Omsg))) = c_Message_Osynth(c_Message_Oanalz(X2))
| ~ c_in(X1,c_Message_Osynth(c_Message_Oanalz(X2)),tc_Message_Omsg) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Message_OFake__analz__eq_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/sandbox/benchmark/theBenchmark.p',cls_Message_OAgent__synth_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/sandbox/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/sandbox/benchmark/theBenchmark.p',cls_Public_OshrK__in__used_0) ).
cnf(cls_Message_Osynth_OInj_0,axiom,
( c_in(X1,c_Message_Osynth(X2),tc_Message_Omsg)
| ~ c_in(X1,X2,tc_Message_Omsg) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Message_Osynth_OInj_0) ).
cnf(cls_Public_OMPair__used_1,axiom,
( c_in(X1,c_Event_Oused(X3),tc_Message_Omsg)
| ~ c_in(c_Message_Omsg_OMPair(X1,X2),c_Event_Oused(X3),tc_Message_Omsg) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Public_OMPair__used_1) ).
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/sandbox/benchmark/theBenchmark.p',cls_Message_OKey__synth__eq_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/sandbox/benchmark/theBenchmark.p',cls_Message_Osynth_OMPair_0) ).
cnf(cls_Public_ONonce__notin__used__empty_0,axiom,
~ c_in(c_Message_Omsg_ONonce(X1),c_Event_Oused(c_List_Olist_ONil),tc_Message_Omsg),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Public_ONonce__notin__used__empty_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/sandbox/benchmark/theBenchmark.p',cls_Public_ONonce__notin__initState_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/sandbox/benchmark/theBenchmark.p',cls_Public_OshrK__in__initState_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,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_50,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_51,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_52,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_49,c_0_50]) ).
cnf(c_0_53,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_51]) ).
cnf(c_0_54,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_55,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_56,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_57,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_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_52,c_0_53]) ).
cnf(c_0_58,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_54]) ).
cnf(c_0_59,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_60,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_55,c_0_56]) ).
cnf(c_0_61,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_62,negated_conjecture,
c_in(v_evs2,c_OtwayRees_Ootway,tc_List_Olist(tc_Event_Oevent)),
cls_conjecture_0 ).
cnf(c_0_63,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_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_57,c_0_58]) ).
cnf(c_0_64,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_65,axiom,
c_Message_Oanalz(c_Message_Oparts(X1)) = c_Message_Oparts(X1),
cls_Message_Oanalz__parts_0 ).
cnf(c_0_66,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_59,c_0_33]) ).
cnf(c_0_67,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_60,c_0_61]),c_0_62])]) ).
cnf(c_0_68,axiom,
c_Message_Oparts(c_Message_Oanalz(X1)) = c_Message_Oparts(X1),
cls_Message_Oparts__analz_0 ).
cnf(c_0_69,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_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) ),
inference(spm,[status(thm)],[c_0_63,c_0_53]) ).
cnf(c_0_70,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_64,c_0_65]) ).
cnf(c_0_71,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_66,c_0_67]),c_0_68]) ).
cnf(c_0_72,axiom,
c_Message_Oparts(c_Message_Oparts(X1)) = c_Message_Oparts(X1),
cls_Message_Oparts__idem_0 ).
cnf(c_0_73,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_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_69,c_0_58]) ).
cnf(c_0_74,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_75,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_70,c_0_33]) ).
cnf(c_0_76,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_66,c_0_71]),c_0_72]) ).
cnf(c_0_77,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_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_73,c_0_53]) ).
cnf(c_0_78,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_74,c_0_46]),c_0_74]) ).
cnf(c_0_79,negated_conjecture,
c_in(c_Message_Omsg_OAgent(v_B),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_75,c_0_76]),c_0_72]) ).
cnf(c_0_80,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_OAgent(v_Aa),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_77,c_0_78]),c_0_79])]) ).
cnf(c_0_81,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_66,c_0_76]),c_0_72]) ).
cnf(c_0_82,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_75,c_0_71]),c_0_72]) ).
cnf(c_0_83,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_84,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_51]) ).
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_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) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_80,c_0_46]),c_0_81]),c_0_82])]) ).
cnf(c_0_86,plain,
( c_in(X1,c_Message_Oparts(X2),tc_Message_Omsg)
| ~ c_in(X1,c_Message_Oparts(c_insert(c_Message_Omsg_ONonce(X3),X2,tc_Message_Omsg)),tc_Message_Omsg)
| ~ c_in(c_Message_Omsg_ONonce(X3),c_Message_Oparts(X2),tc_Message_Omsg) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_83,c_0_54]),c_0_72]),c_0_72]) ).
cnf(c_0_87,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) ),
inference(spm,[status(thm)],[c_0_84,c_0_85]) ).
cnf(c_0_88,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_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(c_Message_Omsg_ONonce(v_NA),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_86,c_0_87]) ).
cnf(c_0_89,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_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(c_Message_Omsg_ONonce(v_NA),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) ),
inference(spm,[status(thm)],[c_0_88,c_0_53]) ).
cnf(c_0_90,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_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(c_Message_Omsg_ONonce(v_NA),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(spm,[status(thm)],[c_0_89,c_0_58]) ).
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_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(c_Message_Omsg_ONonce(v_NA),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_90,c_0_53]) ).
cnf(c_0_92,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_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(c_Message_Omsg_ONonce(v_NA),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(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_91,c_0_78]),c_0_79])]) ).
cnf(c_0_93,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_75,c_0_67]),c_0_68]) ).
cnf(c_0_94,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_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(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_92,c_0_46]),c_0_93]),c_0_82])]) ).
cnf(c_0_95,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_54]) ).
cnf(c_0_96,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_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) ),
inference(spm,[status(thm)],[c_0_84,c_0_94]) ).
cnf(c_0_97,axiom,
( c_Message_Osynth(c_Message_Oanalz(c_insert(X1,X2,tc_Message_Omsg))) = c_Message_Osynth(c_Message_Oanalz(X2))
| ~ c_in(X1,c_Message_Osynth(c_Message_Oanalz(X2)),tc_Message_Omsg) ),
cls_Message_OFake__analz__eq_0 ).
cnf(c_0_98,axiom,
c_in(c_Message_Omsg_OAgent(X1),c_Message_Osynth(X2),tc_Message_Omsg),
cls_Message_OAgent__synth_0 ).
cnf(c_0_99,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_100,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_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(spm,[status(thm)],[c_0_95,c_0_96]) ).
cnf(c_0_101,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_102,axiom,
( c_in(X1,c_Message_Osynth(X2),tc_Message_Omsg)
| ~ c_in(X1,X2,tc_Message_Omsg) ),
cls_Message_Osynth_OInj_0 ).
cnf(c_0_103,plain,
c_Message_Osynth(c_Message_Oparts(c_insert(c_Message_Omsg_OAgent(X1),X2,tc_Message_Omsg))) = c_Message_Osynth(c_Message_Oparts(X2)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_97,c_0_74]),c_0_65]),c_0_65]),c_0_65]),c_0_98])]) ).
cnf(c_0_104,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_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)],[inference(spm,[status(thm)],[c_0_99,c_0_100]),c_0_101])]) ).
cnf(c_0_105,plain,
( c_in(X1,c_Message_Osynth(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) ),
inference(spm,[status(thm)],[c_0_102,c_0_103]) ).
cnf(c_0_106,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_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_84,c_0_104]) ).
cnf(c_0_107,axiom,
( c_in(X1,c_Event_Oused(X3),tc_Message_Omsg)
| ~ c_in(c_Message_Omsg_OMPair(X1,X2),c_Event_Oused(X3),tc_Message_Omsg) ),
cls_Public_OMPair__used_1 ).
cnf(c_0_108,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_in(c_Message_Omsg_OKey(c_Public_OshrK(v_A)),c_Message_Osynth(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_105,c_0_106]),c_0_103]) ).
cnf(c_0_109,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_110,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_in(c_Message_Omsg_OKey(c_Public_OshrK(v_A)),c_Message_Osynth(c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs2))),tc_Message_Omsg)
| c_in(c_Message_Omsg_ONonce(v_NA),c_Event_Oused(X1),tc_Message_Omsg) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_107,c_0_108]),c_0_101])]) ).
cnf(c_0_111,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_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_Event_Oused(X1),tc_Message_Omsg) ),
inference(spm,[status(thm)],[c_0_109,c_0_110]) ).
cnf(c_0_112,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_in(c_Message_Omsg_ONonce(v_NA),c_Event_Oused(X1),tc_Message_Omsg) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_36,c_0_111]),c_0_42]) ).
cnf(c_0_113,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_114,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_in(c_Message_Omsg_ONonce(v_NA),c_Event_Oused(X1),tc_Message_Omsg)
| c_in(c_Message_Omsg_ONonce(v_NB),c_Event_Oused(X2),tc_Message_Omsg) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_107,c_0_112]),c_0_101])]) ).
cnf(c_0_115,negated_conjecture,
( 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_Osynth(X1),tc_Message_Omsg)
| c_in(c_Message_Omsg_ONonce(v_NB),c_Event_Oused(X2),tc_Message_Omsg)
| c_in(c_Message_Omsg_ONonce(v_NA),c_Event_Oused(X3),tc_Message_Omsg) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_113,c_0_114]),c_0_98]),c_0_98])]) ).
cnf(c_0_116,negated_conjecture,
( c_Message_Omsg_OKey(c_Public_OshrK(v_A)) = c_Message_Omsg_ONonce(v_NB)
| c_in(c_Message_Omsg_ONonce(v_NA),c_Event_Oused(X1),tc_Message_Omsg)
| c_in(c_Message_Omsg_ONonce(v_NB),c_Event_Oused(X2),tc_Message_Omsg)
| c_in(c_Message_Omsg_OKey(c_Public_OshrK(v_A)),X3,tc_Message_Omsg) ),
inference(spm,[status(thm)],[c_0_109,c_0_115]) ).
cnf(c_0_117,axiom,
~ c_in(c_Message_Omsg_ONonce(X1),c_Event_Oused(c_List_Olist_ONil),tc_Message_Omsg),
cls_Public_ONonce__notin__used__empty_0 ).
cnf(c_0_118,negated_conjecture,
( c_Message_Omsg_OKey(c_Public_OshrK(v_A)) = c_Message_Omsg_ONonce(v_NB)
| c_in(c_Message_Omsg_ONonce(v_NB),c_Event_Oused(X1),tc_Message_Omsg)
| c_in(c_Message_Omsg_ONonce(v_NA),c_Event_Oused(X2),tc_Message_Omsg) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_36,c_0_116]),c_0_42]) ).
cnf(c_0_119,negated_conjecture,
( c_Message_Omsg_OKey(c_Public_OshrK(v_A)) = c_Message_Omsg_ONonce(v_NB)
| c_in(c_Message_Omsg_ONonce(v_NA),c_Event_Oused(X1),tc_Message_Omsg) ),
inference(spm,[status(thm)],[c_0_117,c_0_118]) ).
cnf(c_0_120,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_121,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_122,negated_conjecture,
c_Message_Omsg_OKey(c_Public_OshrK(v_A)) = c_Message_Omsg_ONonce(v_NB),
inference(spm,[status(thm)],[c_0_117,c_0_119]) ).
cnf(c_0_123,plain,
~ c_in(c_Message_Omsg_ONonce(X1),c_Event_OinitState(X2),tc_Message_Omsg),
inference(spm,[status(thm)],[c_0_120,c_0_33]) ).
cnf(c_0_124,negated_conjecture,
$false,
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_121,c_0_122]),c_0_123]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11 % Problem : SWV316-2 : TPTP v9.2.1. Released v3.2.0.
% 0.00/0.11 % Command : /export/starexec/sandbox/solver/bin/lemma_parallel_prover %s --lemma-prover /export/starexec/sandbox/solver/bin/cse --final-prover /export/starexec/sandbox/solver/bin/eprover --proof-time %d --global-time-limit %d
% 0.13/0.32 % Computer : n013.cluster.edu
% 0.13/0.32 % Model : x86_64 x86_64
% 0.13/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.32 % Memory : 8042.1875MB
% 0.13/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.32 % CPULimit : 300
% 0.13/0.32 % WCLimit : 300
% 0.13/0.32 % DateTime : Tue May 5 05:01:26 EDT 2026
% 0.13/0.32 % CPUTime :
% 0.13/0.33 % start to proof: theBenchmark
% 1.55/1.83 % Version : CSE_E---1.7
% 1.55/1.83 % Problem : theBenchmark.p
% 1.55/1.83 % SZS status Unsatisfiable for theBenchmark.p
% 1.55/1.83 % SZS output start CNFRefutation
% See solution above
% 1.55/1.83 % Total time : 1.371s
%------------------------------------------------------------------------------