%------------------------------------------------------------------------------
% File : Z3---4.15.1
% Problem : SWV311-2 : TPTP v9.0.0. Released v3.2.0.
% Transfm : none
% Format : tptp
% Command : run_E %s %d THM
% 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 : Sat Jun 21 05:32:04 AM UTC 2025
% Result : Unsatisfiable 0.23s 0.40s
% Output : Proof 0.23s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.14 % Problem : SWV311-2 : TPTP v9.0.0. Released v3.2.0.
% 0.08/0.14 % Command : run_E %s %d THM
% 0.13/0.36 % Computer : n013.cluster.edu
% 0.13/0.36 % Model : x86_64 x86_64
% 0.13/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.36 % Memory : 8042.1875MB
% 0.13/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.36 % CPULimit : 300
% 0.13/0.36 % WCLimit : 300
% 0.13/0.36 % DateTime : Fri Jun 20 09:39:38 EDT 2025
% 0.13/0.36 % CPUTime :
% 0.23/0.40 % SZS status Unsatisfiable
% 0.23/0.40 % SZS output start Proof
% 0.23/0.40 tff(c_in_type, type, (
% 0.23/0.40 c_in: ( $i * $i * $i ) > $o)).
% 0.23/0.40 tff(tc_Message_Oagent_type, type, (
% 0.23/0.40 tc_Message_Oagent: $i)).
% 0.23/0.40 tff(c_Event_Obad_type, type, (
% 0.23/0.40 c_Event_Obad: $i)).
% 0.23/0.40 tff(v_Ba_type, type, (
% 0.23/0.40 v_Ba: $i)).
% 0.23/0.40 tff(v_B_type, type, (
% 0.23/0.40 v_B: $i)).
% 0.23/0.40 tff(tc_Event_Oevent_type, type, (
% 0.23/0.40 tc_Event_Oevent: $i)).
% 0.23/0.40 tff(c_List_Oset_type, type, (
% 0.23/0.40 c_List_Oset: ( $i * $i ) > $i)).
% 0.23/0.40 tff(v_evs3_type, type, (
% 0.23/0.40 v_evs3: $i)).
% 0.23/0.40 tff(c_Event_Oevent_OSays_type, type, (
% 0.23/0.40 c_Event_Oevent_OSays: ( $i * $i * $i ) > $i)).
% 0.23/0.40 tff(c_Message_Omsg_OMPair_type, type, (
% 0.23/0.40 c_Message_Omsg_OMPair: ( $i * $i ) > $i)).
% 0.23/0.40 tff(c_Message_Omsg_OCrypt_type, type, (
% 0.23/0.40 c_Message_Omsg_OCrypt: ( $i * $i ) > $i)).
% 0.23/0.40 tff(c_Message_Omsg_OAgent_type, type, (
% 0.23/0.40 c_Message_Omsg_OAgent: $i > $i)).
% 0.23/0.40 tff(v_Aa_type, type, (
% 0.23/0.40 v_Aa: $i)).
% 0.23/0.40 tff(c_Message_Omsg_ONonce_type, type, (
% 0.23/0.40 c_Message_Omsg_ONonce: $i > $i)).
% 0.23/0.40 tff(v_NBa_type, type, (
% 0.23/0.40 v_NBa: $i)).
% 0.23/0.40 tff(v_NAa_type, type, (
% 0.23/0.40 v_NAa: $i)).
% 0.23/0.40 tff(c_Public_OshrK_type, type, (
% 0.23/0.40 c_Public_OshrK: $i > $i)).
% 0.23/0.40 tff(v_sko__u__1_type, type, (
% 0.23/0.40 v_sko__u__1: ( $i * $i * $i * $i * $i ) > $i)).
% 0.23/0.40 tff(c_Message_Oagent_OServer_type, type, (
% 0.23/0.40 c_Message_Oagent_OServer: $i)).
% 0.23/0.40 tff(tc_Message_Omsg_type, type, (
% 0.23/0.40 tc_Message_Omsg: $i)).
% 0.23/0.40 tff(c_Message_Oparts_type, type, (
% 0.23/0.40 c_Message_Oparts: $i > $i)).
% 0.23/0.40 tff(c_Event_Oknows_type, type, (
% 0.23/0.40 c_Event_Oknows: ( $i * $i ) > $i)).
% 0.23/0.40 tff(c_Message_Oagent_OSpy_type, type, (
% 0.23/0.40 c_Message_Oagent_OSpy: $i)).
% 0.23/0.40 tff(c_Message_Oanalz_type, type, (
% 0.23/0.40 c_Message_Oanalz: $i > $i)).
% 0.23/0.40 tff(v_sko__usf_type, type, (
% 0.23/0.40 v_sko__usf: ( $i * $i * $i ) > $i)).
% 0.23/0.40 tff(c_Event_Oevent_OGets_type, type, (
% 0.23/0.40 c_Event_Oevent_OGets: ( $i * $i ) > $i)).
% 0.23/0.40 tff(tc_List_Olist_type, type, (
% 0.23/0.40 tc_List_Olist: $i > $i)).
% 0.23/0.40 tff(c_OtwayRees_Ootway_type, type, (
% 0.23/0.40 c_OtwayRees_Ootway: $i)).
% 0.23/0.40 tff(1,plain,
% 0.23/0.40 ((v_B = v_Ba) <=> (v_B = v_Ba)),
% 0.23/0.40 inference(rewrite,[status(thm)],[])).
% 0.23/0.40 tff(2,axiom,(v_B = v_Ba), file('/export/starexec/sandbox/benchmark/theBenchmark.p','cls_conjecture_4')).
% 0.23/0.40 tff(3,plain,
% 0.23/0.40 (v_B = v_Ba),
% 0.23/0.40 inference(modus_ponens,[status(thm)],[2, 1])).
% 0.23/0.40 tff(4,plain,
% 0.23/0.40 (v_Ba = v_B),
% 0.23/0.40 inference(symmetry,[status(thm)],[3])).
% 0.23/0.40 tff(5,plain,
% 0.23/0.40 (c_in(v_Ba, c_Event_Obad, tc_Message_Oagent) <=> c_in(v_B, c_Event_Obad, tc_Message_Oagent)),
% 0.23/0.40 inference(monotonicity,[status(thm)],[4])).
% 0.23/0.40 tff(6,plain,
% 0.23/0.40 (c_in(v_B, c_Event_Obad, tc_Message_Oagent) <=> c_in(v_Ba, c_Event_Obad, tc_Message_Oagent)),
% 0.23/0.40 inference(symmetry,[status(thm)],[5])).
% 0.23/0.40 tff(7,plain,
% 0.23/0.40 ((~c_in(v_B, c_Event_Obad, tc_Message_Oagent)) <=> (~c_in(v_Ba, c_Event_Obad, tc_Message_Oagent))),
% 0.23/0.40 inference(monotonicity,[status(thm)],[6])).
% 0.23/0.40 tff(8,plain,
% 0.23/0.40 ((~c_in(v_B, c_Event_Obad, tc_Message_Oagent)) <=> (~c_in(v_B, c_Event_Obad, tc_Message_Oagent))),
% 0.23/0.40 inference(rewrite,[status(thm)],[])).
% 0.23/0.40 tff(9,axiom,(~c_in(v_B, c_Event_Obad, tc_Message_Oagent)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','cls_conjecture_0')).
% 0.23/0.40 tff(10,plain,
% 0.23/0.40 (~c_in(v_B, c_Event_Obad, tc_Message_Oagent)),
% 0.23/0.40 inference(modus_ponens,[status(thm)],[9, 8])).
% 0.23/0.40 tff(11,plain,
% 0.23/0.40 (~c_in(v_Ba, c_Event_Obad, tc_Message_Oagent)),
% 0.23/0.40 inference(modus_ponens,[status(thm)],[10, 7])).
% 0.23/0.40 tff(12,assumption,(c_in(c_Event_Oevent_OSays(v_Ba, c_Message_Oagent_OServer, c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NAa), c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa), c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Ba), c_Message_Omsg_OMPair(v_sko__u__1(v_Aa, v_Ba, c_Message_Omsg_ONonce(v_NAa), c_Message_Omsg_ONonce(v_NBa), v_evs3), c_Message_Omsg_OCrypt(c_Public_OshrK(v_Ba), c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NAa), c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NBa), c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa), c_Message_Omsg_OAgent(v_Ba)))))))))), c_List_Oset(v_evs3, tc_Event_Oevent), tc_Event_Oevent)), introduced(assumption)).
% 0.23/0.40 tff(13,plain,
% 0.23/0.40 (^[V_U: $i] : refl((~c_in(c_Event_Oevent_OSays(v_Ba, c_Message_Oagent_OServer, c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NAa), c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa), c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Ba), c_Message_Omsg_OMPair(V_U, c_Message_Omsg_OCrypt(c_Public_OshrK(v_Ba), c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NAa), c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NBa), c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa), c_Message_Omsg_OAgent(v_Ba)))))))))), c_List_Oset(v_evs3, tc_Event_Oevent), tc_Event_Oevent)) <=> (~c_in(c_Event_Oevent_OSays(v_Ba, c_Message_Oagent_OServer, c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NAa), c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa), c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Ba), c_Message_Omsg_OMPair(V_U, c_Message_Omsg_OCrypt(c_Public_OshrK(v_Ba), c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NAa), c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NBa), c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa), c_Message_Omsg_OAgent(v_Ba)))))))))), c_List_Oset(v_evs3, tc_Event_Oevent), tc_Event_Oevent)))),
% 0.23/0.40 inference(bind,[status(th)],[])).
% 0.23/0.40 tff(14,plain,
% 0.23/0.40 (![V_U: $i] : (~c_in(c_Event_Oevent_OSays(v_Ba, c_Message_Oagent_OServer, c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NAa), c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa), c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Ba), c_Message_Omsg_OMPair(V_U, c_Message_Omsg_OCrypt(c_Public_OshrK(v_Ba), c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NAa), c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NBa), c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa), c_Message_Omsg_OAgent(v_Ba)))))))))), c_List_Oset(v_evs3, tc_Event_Oevent), tc_Event_Oevent)) <=> ![V_U: $i] : (~c_in(c_Event_Oevent_OSays(v_Ba, c_Message_Oagent_OServer, c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NAa), c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa), c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Ba), c_Message_Omsg_OMPair(V_U, c_Message_Omsg_OCrypt(c_Public_OshrK(v_Ba), c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NAa), c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NBa), c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa), c_Message_Omsg_OAgent(v_Ba)))))))))), c_List_Oset(v_evs3, tc_Event_Oevent), tc_Event_Oevent))),
% 0.23/0.40 inference(quant_intro,[status(thm)],[13])).
% 0.23/0.40 tff(15,plain,
% 0.23/0.40 (![V_U: $i] : (~c_in(c_Event_Oevent_OSays(v_Ba, c_Message_Oagent_OServer, c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NAa), c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa), c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Ba), c_Message_Omsg_OMPair(V_U, c_Message_Omsg_OCrypt(c_Public_OshrK(v_Ba), c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NAa), c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NBa), c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa), c_Message_Omsg_OAgent(v_Ba)))))))))), c_List_Oset(v_evs3, tc_Event_Oevent), tc_Event_Oevent)) <=> ![V_U: $i] : (~c_in(c_Event_Oevent_OSays(v_Ba, c_Message_Oagent_OServer, c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NAa), c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa), c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Ba), c_Message_Omsg_OMPair(V_U, c_Message_Omsg_OCrypt(c_Public_OshrK(v_Ba), c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NAa), c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NBa), c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa), c_Message_Omsg_OAgent(v_Ba)))))))))), c_List_Oset(v_evs3, tc_Event_Oevent), tc_Event_Oevent))),
% 0.23/0.40 inference(rewrite,[status(thm)],[])).
% 0.23/0.40 tff(16,axiom,(![V_U: $i] : (~c_in(c_Event_Oevent_OSays(v_Ba, c_Message_Oagent_OServer, c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NAa), c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa), c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Ba), c_Message_Omsg_OMPair(V_U, c_Message_Omsg_OCrypt(c_Public_OshrK(v_Ba), c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NAa), c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NBa), c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa), c_Message_Omsg_OAgent(v_Ba)))))))))), c_List_Oset(v_evs3, tc_Event_Oevent), tc_Event_Oevent))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','cls_conjecture_12')).
% 0.23/0.40 tff(17,plain,
% 0.23/0.40 (![V_U: $i] : (~c_in(c_Event_Oevent_OSays(v_Ba, c_Message_Oagent_OServer, c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NAa), c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa), c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Ba), c_Message_Omsg_OMPair(V_U, c_Message_Omsg_OCrypt(c_Public_OshrK(v_Ba), c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NAa), c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NBa), c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa), c_Message_Omsg_OAgent(v_Ba)))))))))), c_List_Oset(v_evs3, tc_Event_Oevent), tc_Event_Oevent))),
% 0.23/0.40 inference(modus_ponens,[status(thm)],[16, 15])).
% 0.23/0.40 tff(18,plain,(
% 0.23/0.40 ![V_U: $i] : (~c_in(c_Event_Oevent_OSays(v_Ba, c_Message_Oagent_OServer, c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NAa), c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa), c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Ba), c_Message_Omsg_OMPair(V_U, c_Message_Omsg_OCrypt(c_Public_OshrK(v_Ba), c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NAa), c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NBa), c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa), c_Message_Omsg_OAgent(v_Ba)))))))))), c_List_Oset(v_evs3, tc_Event_Oevent), tc_Event_Oevent))),
% 0.23/0.40 inference(skolemize,[status(sab)],[17])).
% 0.23/0.40 tff(19,plain,
% 0.23/0.40 (![V_U: $i] : (~c_in(c_Event_Oevent_OSays(v_Ba, c_Message_Oagent_OServer, c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NAa), c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa), c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Ba), c_Message_Omsg_OMPair(V_U, c_Message_Omsg_OCrypt(c_Public_OshrK(v_Ba), c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NAa), c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NBa), c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa), c_Message_Omsg_OAgent(v_Ba)))))))))), c_List_Oset(v_evs3, tc_Event_Oevent), tc_Event_Oevent))),
% 0.23/0.40 inference(modus_ponens,[status(thm)],[18, 14])).
% 0.23/0.40 tff(20,plain,
% 0.23/0.40 ((~![V_U: $i] : (~c_in(c_Event_Oevent_OSays(v_Ba, c_Message_Oagent_OServer, c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NAa), c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa), c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Ba), c_Message_Omsg_OMPair(V_U, c_Message_Omsg_OCrypt(c_Public_OshrK(v_Ba), c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NAa), c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NBa), c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa), c_Message_Omsg_OAgent(v_Ba)))))))))), c_List_Oset(v_evs3, tc_Event_Oevent), tc_Event_Oevent))) | (~c_in(c_Event_Oevent_OSays(v_Ba, c_Message_Oagent_OServer, c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NAa), c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa), c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Ba), c_Message_Omsg_OMPair(v_sko__u__1(v_Aa, v_Ba, c_Message_Omsg_ONonce(v_NAa), c_Message_Omsg_ONonce(v_NBa), v_evs3), c_Message_Omsg_OCrypt(c_Public_OshrK(v_Ba), c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NAa), c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NBa), c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa), c_Message_Omsg_OAgent(v_Ba)))))))))), c_List_Oset(v_evs3, tc_Event_Oevent), tc_Event_Oevent))),
% 0.23/0.40 inference(quant_inst,[status(thm)],[])).
% 0.23/0.40 tff(21,plain,
% 0.23/0.40 ($false),
% 0.23/0.40 inference(unit_resolution,[status(thm)],[20, 19, 12])).
% 0.23/0.40 tff(22,plain,(~c_in(c_Event_Oevent_OSays(v_Ba, c_Message_Oagent_OServer, c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NAa), c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa), c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Ba), c_Message_Omsg_OMPair(v_sko__u__1(v_Aa, v_Ba, c_Message_Omsg_ONonce(v_NAa), c_Message_Omsg_ONonce(v_NBa), v_evs3), c_Message_Omsg_OCrypt(c_Public_OshrK(v_Ba), c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NAa), c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NBa), c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa), c_Message_Omsg_OAgent(v_Ba)))))))))), c_List_Oset(v_evs3, tc_Event_Oevent), tc_Event_Oevent)), inference(lemma,lemma(discharge,[]))).
% 0.23/0.40 tff(23,plain,
% 0.23/0.40 (c_in(c_Event_Oevent_OGets(c_Message_Oagent_OServer, c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NAa), c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa), c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Ba), c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(v_Aa), c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NAa), c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa), c_Message_Omsg_OAgent(v_Ba)))), c_Message_Omsg_OCrypt(c_Public_OshrK(v_Ba), c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NAa), c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NBa), c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa), c_Message_Omsg_OAgent(v_Ba)))))))))), c_List_Oset(v_evs3, tc_Event_Oevent), tc_Event_Oevent) <=> c_in(c_Event_Oevent_OGets(c_Message_Oagent_OServer, c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NAa), c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa), c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Ba), c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(v_Aa), c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NAa), c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa), c_Message_Omsg_OAgent(v_Ba)))), c_Message_Omsg_OCrypt(c_Public_OshrK(v_Ba), c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NAa), c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NBa), c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa), c_Message_Omsg_OAgent(v_Ba)))))))))), c_List_Oset(v_evs3, tc_Event_Oevent), tc_Event_Oevent)),
% 0.23/0.41 inference(rewrite,[status(thm)],[])).
% 0.23/0.41 tff(24,axiom,(c_in(c_Event_Oevent_OGets(c_Message_Oagent_OServer, c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NAa), c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa), c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Ba), c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(v_Aa), c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NAa), c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa), c_Message_Omsg_OAgent(v_Ba)))), c_Message_Omsg_OCrypt(c_Public_OshrK(v_Ba), c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NAa), c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NBa), c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa), c_Message_Omsg_OAgent(v_Ba)))))))))), c_List_Oset(v_evs3, tc_Event_Oevent), tc_Event_Oevent)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','cls_conjecture_3')).
% 0.23/0.41 tff(25,plain,
% 0.23/0.41 (c_in(c_Event_Oevent_OGets(c_Message_Oagent_OServer, c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NAa), c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa), c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Ba), c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(v_Aa), c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NAa), c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa), c_Message_Omsg_OAgent(v_Ba)))), c_Message_Omsg_OCrypt(c_Public_OshrK(v_Ba), c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NAa), c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NBa), c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa), c_Message_Omsg_OAgent(v_Ba)))))))))), c_List_Oset(v_evs3, tc_Event_Oevent), tc_Event_Oevent)),
% 0.23/0.41 inference(modus_ponens,[status(thm)],[24, 23])).
% 0.23/0.41 tff(26,plain,
% 0.23/0.41 (c_in(v_evs3, c_OtwayRees_Ootway, tc_List_Olist(tc_Event_Oevent)) <=> c_in(v_evs3, c_OtwayRees_Ootway, tc_List_Olist(tc_Event_Oevent))),
% 0.23/0.41 inference(rewrite,[status(thm)],[])).
% 0.23/0.41 tff(27,axiom,(c_in(v_evs3, c_OtwayRees_Ootway, tc_List_Olist(tc_Event_Oevent))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','cls_conjecture_1')).
% 0.23/0.41 tff(28,plain,
% 0.23/0.41 (c_in(v_evs3, c_OtwayRees_Ootway, tc_List_Olist(tc_Event_Oevent))),
% 0.23/0.41 inference(modus_ponens,[status(thm)],[27, 26])).
% 0.23/0.41 tff(29,plain,
% 0.23/0.41 (^[V_X: $i, V_B: $i, V_evs: $i] : refl((c_in(c_Event_Oevent_OSays(v_sko__usf(V_B, V_X, V_evs), V_B, V_X), c_List_Oset(V_evs, tc_Event_Oevent), tc_Event_Oevent) | (~c_in(c_Event_Oevent_OGets(V_B, V_X), c_List_Oset(V_evs, tc_Event_Oevent), tc_Event_Oevent)) | (~c_in(V_evs, c_OtwayRees_Ootway, tc_List_Olist(tc_Event_Oevent)))) <=> (c_in(c_Event_Oevent_OSays(v_sko__usf(V_B, V_X, V_evs), V_B, V_X), c_List_Oset(V_evs, tc_Event_Oevent), tc_Event_Oevent) | (~c_in(c_Event_Oevent_OGets(V_B, V_X), c_List_Oset(V_evs, tc_Event_Oevent), tc_Event_Oevent)) | (~c_in(V_evs, c_OtwayRees_Ootway, tc_List_Olist(tc_Event_Oevent)))))),
% 0.23/0.41 inference(bind,[status(th)],[])).
% 0.23/0.41 tff(30,plain,
% 0.23/0.41 (![V_X: $i, V_B: $i, V_evs: $i] : (c_in(c_Event_Oevent_OSays(v_sko__usf(V_B, V_X, V_evs), V_B, V_X), c_List_Oset(V_evs, tc_Event_Oevent), tc_Event_Oevent) | (~c_in(c_Event_Oevent_OGets(V_B, V_X), c_List_Oset(V_evs, tc_Event_Oevent), tc_Event_Oevent)) | (~c_in(V_evs, c_OtwayRees_Ootway, tc_List_Olist(tc_Event_Oevent)))) <=> ![V_X: $i, V_B: $i, V_evs: $i] : (c_in(c_Event_Oevent_OSays(v_sko__usf(V_B, V_X, V_evs), V_B, V_X), c_List_Oset(V_evs, tc_Event_Oevent), tc_Event_Oevent) | (~c_in(c_Event_Oevent_OGets(V_B, V_X), c_List_Oset(V_evs, tc_Event_Oevent), tc_Event_Oevent)) | (~c_in(V_evs, c_OtwayRees_Ootway, tc_List_Olist(tc_Event_Oevent))))),
% 0.23/0.41 inference(quant_intro,[status(thm)],[29])).
% 0.23/0.41 tff(31,plain,
% 0.23/0.41 (![V_X: $i, V_B: $i, V_evs: $i] : (c_in(c_Event_Oevent_OSays(v_sko__usf(V_B, V_X, V_evs), V_B, V_X), c_List_Oset(V_evs, tc_Event_Oevent), tc_Event_Oevent) | (~c_in(c_Event_Oevent_OGets(V_B, V_X), c_List_Oset(V_evs, tc_Event_Oevent), tc_Event_Oevent)) | (~c_in(V_evs, c_OtwayRees_Ootway, tc_List_Olist(tc_Event_Oevent)))) <=> ![V_X: $i, V_B: $i, V_evs: $i] : (c_in(c_Event_Oevent_OSays(v_sko__usf(V_B, V_X, V_evs), V_B, V_X), c_List_Oset(V_evs, tc_Event_Oevent), tc_Event_Oevent) | (~c_in(c_Event_Oevent_OGets(V_B, V_X), c_List_Oset(V_evs, tc_Event_Oevent), tc_Event_Oevent)) | (~c_in(V_evs, c_OtwayRees_Ootway, tc_List_Olist(tc_Event_Oevent))))),
% 0.23/0.41 inference(rewrite,[status(thm)],[])).
% 0.23/0.41 tff(32,plain,
% 0.23/0.41 (^[V_X: $i, V_B: $i, V_evs: $i] : trans(monotonicity(rewrite(((~c_in(V_evs, c_OtwayRees_Ootway, tc_List_Olist(tc_Event_Oevent))) | (~c_in(c_Event_Oevent_OGets(V_B, V_X), c_List_Oset(V_evs, tc_Event_Oevent), tc_Event_Oevent))) <=> ((~c_in(c_Event_Oevent_OGets(V_B, V_X), c_List_Oset(V_evs, tc_Event_Oevent), tc_Event_Oevent)) | (~c_in(V_evs, c_OtwayRees_Ootway, tc_List_Olist(tc_Event_Oevent))))), ((((~c_in(V_evs, c_OtwayRees_Ootway, tc_List_Olist(tc_Event_Oevent))) | (~c_in(c_Event_Oevent_OGets(V_B, V_X), c_List_Oset(V_evs, tc_Event_Oevent), tc_Event_Oevent))) | c_in(c_Event_Oevent_OSays(v_sko__usf(V_B, V_X, V_evs), V_B, V_X), c_List_Oset(V_evs, tc_Event_Oevent), tc_Event_Oevent)) <=> (((~c_in(c_Event_Oevent_OGets(V_B, V_X), c_List_Oset(V_evs, tc_Event_Oevent), tc_Event_Oevent)) | (~c_in(V_evs, c_OtwayRees_Ootway, tc_List_Olist(tc_Event_Oevent)))) | c_in(c_Event_Oevent_OSays(v_sko__usf(V_B, V_X, V_evs), V_B, V_X), c_List_Oset(V_evs, tc_Event_Oevent), tc_Event_Oevent)))), rewrite((((~c_in(c_Event_Oevent_OGets(V_B, V_X), c_List_Oset(V_evs, tc_Event_Oevent), tc_Event_Oevent)) | (~c_in(V_evs, c_OtwayRees_Ootway, tc_List_Olist(tc_Event_Oevent)))) | c_in(c_Event_Oevent_OSays(v_sko__usf(V_B, V_X, V_evs), V_B, V_X), c_List_Oset(V_evs, tc_Event_Oevent), tc_Event_Oevent)) <=> (c_in(c_Event_Oevent_OSays(v_sko__usf(V_B, V_X, V_evs), V_B, V_X), c_List_Oset(V_evs, tc_Event_Oevent), tc_Event_Oevent) | (~c_in(c_Event_Oevent_OGets(V_B, V_X), c_List_Oset(V_evs, tc_Event_Oevent), tc_Event_Oevent)) | (~c_in(V_evs, c_OtwayRees_Ootway, tc_List_Olist(tc_Event_Oevent))))), ((((~c_in(V_evs, c_OtwayRees_Ootway, tc_List_Olist(tc_Event_Oevent))) | (~c_in(c_Event_Oevent_OGets(V_B, V_X), c_List_Oset(V_evs, tc_Event_Oevent), tc_Event_Oevent))) | c_in(c_Event_Oevent_OSays(v_sko__usf(V_B, V_X, V_evs), V_B, V_X), c_List_Oset(V_evs, tc_Event_Oevent), tc_Event_Oevent)) <=> (c_in(c_Event_Oevent_OSays(v_sko__usf(V_B, V_X, V_evs), V_B, V_X), c_List_Oset(V_evs, tc_Event_Oevent), tc_Event_Oevent) | (~c_in(c_Event_Oevent_OGets(V_B, V_X), c_List_Oset(V_evs, tc_Event_Oevent), tc_Event_Oevent)) | (~c_in(V_evs, c_OtwayRees_Ootway, tc_List_Olist(tc_Event_Oevent))))))),
% 0.23/0.41 inference(bind,[status(th)],[])).
% 0.23/0.41 tff(33,plain,
% 0.23/0.41 (![V_X: $i, V_B: $i, V_evs: $i] : (((~c_in(V_evs, c_OtwayRees_Ootway, tc_List_Olist(tc_Event_Oevent))) | (~c_in(c_Event_Oevent_OGets(V_B, V_X), c_List_Oset(V_evs, tc_Event_Oevent), tc_Event_Oevent))) | c_in(c_Event_Oevent_OSays(v_sko__usf(V_B, V_X, V_evs), V_B, V_X), c_List_Oset(V_evs, tc_Event_Oevent), tc_Event_Oevent)) <=> ![V_X: $i, V_B: $i, V_evs: $i] : (c_in(c_Event_Oevent_OSays(v_sko__usf(V_B, V_X, V_evs), V_B, V_X), c_List_Oset(V_evs, tc_Event_Oevent), tc_Event_Oevent) | (~c_in(c_Event_Oevent_OGets(V_B, V_X), c_List_Oset(V_evs, tc_Event_Oevent), tc_Event_Oevent)) | (~c_in(V_evs, c_OtwayRees_Ootway, tc_List_Olist(tc_Event_Oevent))))),
% 0.23/0.41 inference(quant_intro,[status(thm)],[32])).
% 0.23/0.41 tff(34,axiom,(![V_X: $i, V_B: $i, V_evs: $i] : (((~c_in(V_evs, c_OtwayRees_Ootway, tc_List_Olist(tc_Event_Oevent))) | (~c_in(c_Event_Oevent_OGets(V_B, V_X), c_List_Oset(V_evs, tc_Event_Oevent), tc_Event_Oevent))) | c_in(c_Event_Oevent_OSays(v_sko__usf(V_B, V_X, V_evs), V_B, V_X), c_List_Oset(V_evs, tc_Event_Oevent), tc_Event_Oevent))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','cls_OtwayRees_OGets__imp__Says__dest_0')).
% 0.23/0.41 tff(35,plain,
% 0.23/0.41 (![V_X: $i, V_B: $i, V_evs: $i] : (c_in(c_Event_Oevent_OSays(v_sko__usf(V_B, V_X, V_evs), V_B, V_X), c_List_Oset(V_evs, tc_Event_Oevent), tc_Event_Oevent) | (~c_in(c_Event_Oevent_OGets(V_B, V_X), c_List_Oset(V_evs, tc_Event_Oevent), tc_Event_Oevent)) | (~c_in(V_evs, c_OtwayRees_Ootway, tc_List_Olist(tc_Event_Oevent))))),
% 0.23/0.41 inference(modus_ponens,[status(thm)],[34, 33])).
% 0.23/0.41 tff(36,plain,
% 0.23/0.41 (![V_X: $i, V_B: $i, V_evs: $i] : (c_in(c_Event_Oevent_OSays(v_sko__usf(V_B, V_X, V_evs), V_B, V_X), c_List_Oset(V_evs, tc_Event_Oevent), tc_Event_Oevent) | (~c_in(c_Event_Oevent_OGets(V_B, V_X), c_List_Oset(V_evs, tc_Event_Oevent), tc_Event_Oevent)) | (~c_in(V_evs, c_OtwayRees_Ootway, tc_List_Olist(tc_Event_Oevent))))),
% 0.23/0.41 inference(modus_ponens,[status(thm)],[35, 31])).
% 0.23/0.41 tff(37,plain,(
% 0.23/0.41 ![V_X: $i, V_B: $i, V_evs: $i] : (c_in(c_Event_Oevent_OSays(v_sko__usf(V_B, V_X, V_evs), V_B, V_X), c_List_Oset(V_evs, tc_Event_Oevent), tc_Event_Oevent) | (~c_in(c_Event_Oevent_OGets(V_B, V_X), c_List_Oset(V_evs, tc_Event_Oevent), tc_Event_Oevent)) | (~c_in(V_evs, c_OtwayRees_Ootway, tc_List_Olist(tc_Event_Oevent))))),
% 0.23/0.41 inference(skolemize,[status(sab)],[36])).
% 0.23/0.41 tff(38,plain,
% 0.23/0.41 (![V_X: $i, V_B: $i, V_evs: $i] : (c_in(c_Event_Oevent_OSays(v_sko__usf(V_B, V_X, V_evs), V_B, V_X), c_List_Oset(V_evs, tc_Event_Oevent), tc_Event_Oevent) | (~c_in(c_Event_Oevent_OGets(V_B, V_X), c_List_Oset(V_evs, tc_Event_Oevent), tc_Event_Oevent)) | (~c_in(V_evs, c_OtwayRees_Ootway, tc_List_Olist(tc_Event_Oevent))))),
% 0.23/0.41 inference(modus_ponens,[status(thm)],[37, 30])).
% 0.23/0.41 tff(39,plain,
% 0.23/0.41 (((~![V_X: $i, V_B: $i, V_evs: $i] : (c_in(c_Event_Oevent_OSays(v_sko__usf(V_B, V_X, V_evs), V_B, V_X), c_List_Oset(V_evs, tc_Event_Oevent), tc_Event_Oevent) | (~c_in(c_Event_Oevent_OGets(V_B, V_X), c_List_Oset(V_evs, tc_Event_Oevent), tc_Event_Oevent)) | (~c_in(V_evs, c_OtwayRees_Ootway, tc_List_Olist(tc_Event_Oevent))))) | (c_in(c_Event_Oevent_OSays(v_sko__usf(c_Message_Oagent_OServer, c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NAa), c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa), c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Ba), c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(v_Aa), c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NAa), c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa), c_Message_Omsg_OAgent(v_Ba)))), c_Message_Omsg_OCrypt(c_Public_OshrK(v_Ba), c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NAa), c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NBa), c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa), c_Message_Omsg_OAgent(v_Ba))))))))), v_evs3), c_Message_Oagent_OServer, c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NAa), c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa), c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Ba), c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(v_Aa), c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NAa), c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa), c_Message_Omsg_OAgent(v_Ba)))), c_Message_Omsg_OCrypt(c_Public_OshrK(v_Ba), c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NAa), c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NBa), c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa), c_Message_Omsg_OAgent(v_Ba)))))))))), c_List_Oset(v_evs3, tc_Event_Oevent), tc_Event_Oevent) | (~c_in(c_Event_Oevent_OGets(c_Message_Oagent_OServer, c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NAa), c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa), c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Ba), c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(v_Aa), c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NAa), c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa), c_Message_Omsg_OAgent(v_Ba)))), c_Message_Omsg_OCrypt(c_Public_OshrK(v_Ba), c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NAa), c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NBa), c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa), c_Message_Omsg_OAgent(v_Ba)))))))))), c_List_Oset(v_evs3, tc_Event_Oevent), tc_Event_Oevent)) | (~c_in(v_evs3, c_OtwayRees_Ootway, tc_List_Olist(tc_Event_Oevent))))) <=> ((~![V_X: $i, V_B: $i, V_evs: $i] : (c_in(c_Event_Oevent_OSays(v_sko__usf(V_B, V_X, V_evs), V_B, V_X), c_List_Oset(V_evs, tc_Event_Oevent), tc_Event_Oevent) | (~c_in(c_Event_Oevent_OGets(V_B, V_X), c_List_Oset(V_evs, tc_Event_Oevent), tc_Event_Oevent)) | (~c_in(V_evs, c_OtwayRees_Ootway, tc_List_Olist(tc_Event_Oevent))))) | c_in(c_Event_Oevent_OSays(v_sko__usf(c_Message_Oagent_OServer, c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NAa), c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa), c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Ba), c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(v_Aa), c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NAa), c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa), c_Message_Omsg_OAgent(v_Ba)))), c_Message_Omsg_OCrypt(c_Public_OshrK(v_Ba), c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NAa), c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NBa), c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa), c_Message_Omsg_OAgent(v_Ba))))))))), v_evs3), c_Message_Oagent_OServer, c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NAa), c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa), c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Ba), c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(v_Aa), c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NAa), c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa), c_Message_Omsg_OAgent(v_Ba)))), c_Message_Omsg_OCrypt(c_Public_OshrK(v_Ba), c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NAa), c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NBa), c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa), c_Message_Omsg_OAgent(v_Ba)))))))))), c_List_Oset(v_evs3, tc_Event_Oevent), tc_Event_Oevent) | (~c_in(c_Event_Oevent_OGets(c_Message_Oagent_OServer, c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NAa), c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa), c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Ba), c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(v_Aa), c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NAa), c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa), c_Message_Omsg_OAgent(v_Ba)))), c_Message_Omsg_OCrypt(c_Public_OshrK(v_Ba), c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NAa), c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NBa), c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa), c_Message_Omsg_OAgent(v_Ba)))))))))), c_List_Oset(v_evs3, tc_Event_Oevent), tc_Event_Oevent)) | (~c_in(v_evs3, c_OtwayRees_Ootway, tc_List_Olist(tc_Event_Oevent))))),
% 0.23/0.41 inference(rewrite,[status(thm)],[])).
% 0.23/0.41 tff(40,plain,
% 0.23/0.41 ((~![V_X: $i, V_B: $i, V_evs: $i] : (c_in(c_Event_Oevent_OSays(v_sko__usf(V_B, V_X, V_evs), V_B, V_X), c_List_Oset(V_evs, tc_Event_Oevent), tc_Event_Oevent) | (~c_in(c_Event_Oevent_OGets(V_B, V_X), c_List_Oset(V_evs, tc_Event_Oevent), tc_Event_Oevent)) | (~c_in(V_evs, c_OtwayRees_Ootway, tc_List_Olist(tc_Event_Oevent))))) | (c_in(c_Event_Oevent_OSays(v_sko__usf(c_Message_Oagent_OServer, c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NAa), c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa), c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Ba), c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(v_Aa), c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NAa), c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa), c_Message_Omsg_OAgent(v_Ba)))), c_Message_Omsg_OCrypt(c_Public_OshrK(v_Ba), c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NAa), c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NBa), c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa), c_Message_Omsg_OAgent(v_Ba))))))))), v_evs3), c_Message_Oagent_OServer, c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NAa), c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa), c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Ba), c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(v_Aa), c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NAa), c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa), c_Message_Omsg_OAgent(v_Ba)))), c_Message_Omsg_OCrypt(c_Public_OshrK(v_Ba), c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NAa), c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NBa), c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa), c_Message_Omsg_OAgent(v_Ba)))))))))), c_List_Oset(v_evs3, tc_Event_Oevent), tc_Event_Oevent) | (~c_in(c_Event_Oevent_OGets(c_Message_Oagent_OServer, c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NAa), c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa), c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Ba), c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(v_Aa), c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NAa), c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa), c_Message_Omsg_OAgent(v_Ba)))), c_Message_Omsg_OCrypt(c_Public_OshrK(v_Ba), c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NAa), c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NBa), c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa), c_Message_Omsg_OAgent(v_Ba)))))))))), c_List_Oset(v_evs3, tc_Event_Oevent), tc_Event_Oevent)) | (~c_in(v_evs3, c_OtwayRees_Ootway, tc_List_Olist(tc_Event_Oevent))))),
% 0.23/0.41 inference(quant_inst,[status(thm)],[])).
% 0.23/0.41 tff(41,plain,
% 0.23/0.41 ((~![V_X: $i, V_B: $i, V_evs: $i] : (c_in(c_Event_Oevent_OSays(v_sko__usf(V_B, V_X, V_evs), V_B, V_X), c_List_Oset(V_evs, tc_Event_Oevent), tc_Event_Oevent) | (~c_in(c_Event_Oevent_OGets(V_B, V_X), c_List_Oset(V_evs, tc_Event_Oevent), tc_Event_Oevent)) | (~c_in(V_evs, c_OtwayRees_Ootway, tc_List_Olist(tc_Event_Oevent))))) | c_in(c_Event_Oevent_OSays(v_sko__usf(c_Message_Oagent_OServer, c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NAa), c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa), c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Ba), c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(v_Aa), c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NAa), c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa), c_Message_Omsg_OAgent(v_Ba)))), c_Message_Omsg_OCrypt(c_Public_OshrK(v_Ba), c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NAa), c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NBa), c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa), c_Message_Omsg_OAgent(v_Ba))))))))), v_evs3), c_Message_Oagent_OServer, c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NAa), c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa), c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Ba), c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(v_Aa), c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NAa), c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa), c_Message_Omsg_OAgent(v_Ba)))), c_Message_Omsg_OCrypt(c_Public_OshrK(v_Ba), c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NAa), c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NBa), c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa), c_Message_Omsg_OAgent(v_Ba)))))))))), c_List_Oset(v_evs3, tc_Event_Oevent), tc_Event_Oevent) | (~c_in(c_Event_Oevent_OGets(c_Message_Oagent_OServer, c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NAa), c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa), c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Ba), c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(v_Aa), c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NAa), c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa), c_Message_Omsg_OAgent(v_Ba)))), c_Message_Omsg_OCrypt(c_Public_OshrK(v_Ba), c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NAa), c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NBa), c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa), c_Message_Omsg_OAgent(v_Ba)))))))))), c_List_Oset(v_evs3, tc_Event_Oevent), tc_Event_Oevent)) | (~c_in(v_evs3, c_OtwayRees_Ootway, tc_List_Olist(tc_Event_Oevent)))),
% 0.23/0.41 inference(modus_ponens,[status(thm)],[40, 39])).
% 0.23/0.41 tff(42,plain,
% 0.23/0.41 (c_in(c_Event_Oevent_OSays(v_sko__usf(c_Message_Oagent_OServer, c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NAa), c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa), c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Ba), c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(v_Aa), c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NAa), c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa), c_Message_Omsg_OAgent(v_Ba)))), c_Message_Omsg_OCrypt(c_Public_OshrK(v_Ba), c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NAa), c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NBa), c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa), c_Message_Omsg_OAgent(v_Ba))))))))), v_evs3), c_Message_Oagent_OServer, c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NAa), c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa), c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Ba), c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(v_Aa), c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NAa), c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa), c_Message_Omsg_OAgent(v_Ba)))), c_Message_Omsg_OCrypt(c_Public_OshrK(v_Ba), c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NAa), c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NBa), c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa), c_Message_Omsg_OAgent(v_Ba)))))))))), c_List_Oset(v_evs3, tc_Event_Oevent), tc_Event_Oevent)),
% 0.23/0.42 inference(unit_resolution,[status(thm)],[41, 38, 28, 25])).
% 0.23/0.42 tff(43,plain,
% 0.23/0.42 (^[V_X: $i, V_B: $i, V_A: $i, V_evs: $i] : refl(((~c_in(c_Event_Oevent_OSays(V_A, V_B, V_X), c_List_Oset(V_evs, tc_Event_Oevent), tc_Event_Oevent)) | c_in(V_X, c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy, V_evs)), tc_Message_Omsg)) <=> ((~c_in(c_Event_Oevent_OSays(V_A, V_B, V_X), c_List_Oset(V_evs, tc_Event_Oevent), tc_Event_Oevent)) | c_in(V_X, c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy, V_evs)), tc_Message_Omsg)))),
% 0.23/0.42 inference(bind,[status(th)],[])).
% 0.23/0.42 tff(44,plain,
% 0.23/0.42 (![V_X: $i, V_B: $i, V_A: $i, V_evs: $i] : ((~c_in(c_Event_Oevent_OSays(V_A, V_B, V_X), c_List_Oset(V_evs, tc_Event_Oevent), tc_Event_Oevent)) | c_in(V_X, c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy, V_evs)), tc_Message_Omsg)) <=> ![V_X: $i, V_B: $i, V_A: $i, V_evs: $i] : ((~c_in(c_Event_Oevent_OSays(V_A, V_B, V_X), c_List_Oset(V_evs, tc_Event_Oevent), tc_Event_Oevent)) | c_in(V_X, c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy, V_evs)), tc_Message_Omsg))),
% 0.23/0.42 inference(quant_intro,[status(thm)],[43])).
% 0.23/0.42 tff(45,plain,
% 0.23/0.42 (![V_X: $i, V_B: $i, V_A: $i, V_evs: $i] : ((~c_in(c_Event_Oevent_OSays(V_A, V_B, V_X), c_List_Oset(V_evs, tc_Event_Oevent), tc_Event_Oevent)) | c_in(V_X, c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy, V_evs)), tc_Message_Omsg)) <=> ![V_X: $i, V_B: $i, V_A: $i, V_evs: $i] : ((~c_in(c_Event_Oevent_OSays(V_A, V_B, V_X), c_List_Oset(V_evs, tc_Event_Oevent), tc_Event_Oevent)) | c_in(V_X, c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy, V_evs)), tc_Message_Omsg))),
% 0.23/0.42 inference(rewrite,[status(thm)],[])).
% 0.23/0.42 tff(46,axiom,(![V_X: $i, V_B: $i, V_A: $i, V_evs: $i] : ((~c_in(c_Event_Oevent_OSays(V_A, V_B, V_X), c_List_Oset(V_evs, tc_Event_Oevent), tc_Event_Oevent)) | c_in(V_X, c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy, V_evs)), tc_Message_Omsg))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','cls_Event_OSays__imp__analz__Spy__dest_0')).
% 0.23/0.42 tff(47,plain,
% 0.23/0.42 (![V_X: $i, V_B: $i, V_A: $i, V_evs: $i] : ((~c_in(c_Event_Oevent_OSays(V_A, V_B, V_X), c_List_Oset(V_evs, tc_Event_Oevent), tc_Event_Oevent)) | c_in(V_X, c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy, V_evs)), tc_Message_Omsg))),
% 0.23/0.42 inference(modus_ponens,[status(thm)],[46, 45])).
% 0.23/0.42 tff(48,plain,(
% 0.23/0.42 ![V_X: $i, V_B: $i, V_A: $i, V_evs: $i] : ((~c_in(c_Event_Oevent_OSays(V_A, V_B, V_X), c_List_Oset(V_evs, tc_Event_Oevent), tc_Event_Oevent)) | c_in(V_X, c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy, V_evs)), tc_Message_Omsg))),
% 0.23/0.42 inference(skolemize,[status(sab)],[47])).
% 0.23/0.42 tff(49,plain,
% 0.23/0.42 (![V_X: $i, V_B: $i, V_A: $i, V_evs: $i] : ((~c_in(c_Event_Oevent_OSays(V_A, V_B, V_X), c_List_Oset(V_evs, tc_Event_Oevent), tc_Event_Oevent)) | c_in(V_X, c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy, V_evs)), tc_Message_Omsg))),
% 0.23/0.42 inference(modus_ponens,[status(thm)],[48, 44])).
% 0.23/0.42 tff(50,plain,
% 0.23/0.42 (((~![V_X: $i, V_B: $i, V_A: $i, V_evs: $i] : ((~c_in(c_Event_Oevent_OSays(V_A, V_B, V_X), c_List_Oset(V_evs, tc_Event_Oevent), tc_Event_Oevent)) | c_in(V_X, c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy, V_evs)), tc_Message_Omsg))) | ((~c_in(c_Event_Oevent_OSays(v_sko__usf(c_Message_Oagent_OServer, c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NAa), c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa), c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Ba), c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(v_Aa), c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NAa), c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa), c_Message_Omsg_OAgent(v_Ba)))), c_Message_Omsg_OCrypt(c_Public_OshrK(v_Ba), c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NAa), c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NBa), c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa), c_Message_Omsg_OAgent(v_Ba))))))))), v_evs3), c_Message_Oagent_OServer, c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NAa), c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa), c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Ba), c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(v_Aa), c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NAa), c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa), c_Message_Omsg_OAgent(v_Ba)))), c_Message_Omsg_OCrypt(c_Public_OshrK(v_Ba), c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NAa), c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NBa), c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa), c_Message_Omsg_OAgent(v_Ba)))))))))), c_List_Oset(v_evs3, tc_Event_Oevent), tc_Event_Oevent)) | c_in(c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NAa), c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa), c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Ba), c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(v_Aa), c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NAa), c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa), c_Message_Omsg_OAgent(v_Ba)))), c_Message_Omsg_OCrypt(c_Public_OshrK(v_Ba), c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NAa), c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NBa), c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa), c_Message_Omsg_OAgent(v_Ba))))))))), c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy, v_evs3)), tc_Message_Omsg))) <=> ((~![V_X: $i, V_B: $i, V_A: $i, V_evs: $i] : ((~c_in(c_Event_Oevent_OSays(V_A, V_B, V_X), c_List_Oset(V_evs, tc_Event_Oevent), tc_Event_Oevent)) | c_in(V_X, c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy, V_evs)), tc_Message_Omsg))) | (~c_in(c_Event_Oevent_OSays(v_sko__usf(c_Message_Oagent_OServer, c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NAa), c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa), c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Ba), c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(v_Aa), c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NAa), c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa), c_Message_Omsg_OAgent(v_Ba)))), c_Message_Omsg_OCrypt(c_Public_OshrK(v_Ba), c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NAa), c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NBa), c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa), c_Message_Omsg_OAgent(v_Ba))))))))), v_evs3), c_Message_Oagent_OServer, c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NAa), c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa), c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Ba), c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(v_Aa), c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NAa), c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa), c_Message_Omsg_OAgent(v_Ba)))), c_Message_Omsg_OCrypt(c_Public_OshrK(v_Ba), c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NAa), c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NBa), c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa), c_Message_Omsg_OAgent(v_Ba)))))))))), c_List_Oset(v_evs3, tc_Event_Oevent), tc_Event_Oevent)) | c_in(c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NAa), c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa), c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Ba), c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(v_Aa), c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NAa), c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa), c_Message_Omsg_OAgent(v_Ba)))), c_Message_Omsg_OCrypt(c_Public_OshrK(v_Ba), c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NAa), c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NBa), c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa), c_Message_Omsg_OAgent(v_Ba))))))))), c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy, v_evs3)), tc_Message_Omsg))),
% 0.23/0.42 inference(rewrite,[status(thm)],[])).
% 0.23/0.42 tff(51,plain,
% 0.23/0.42 ((~![V_X: $i, V_B: $i, V_A: $i, V_evs: $i] : ((~c_in(c_Event_Oevent_OSays(V_A, V_B, V_X), c_List_Oset(V_evs, tc_Event_Oevent), tc_Event_Oevent)) | c_in(V_X, c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy, V_evs)), tc_Message_Omsg))) | ((~c_in(c_Event_Oevent_OSays(v_sko__usf(c_Message_Oagent_OServer, c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NAa), c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa), c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Ba), c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(v_Aa), c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NAa), c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa), c_Message_Omsg_OAgent(v_Ba)))), c_Message_Omsg_OCrypt(c_Public_OshrK(v_Ba), c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NAa), c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NBa), c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa), c_Message_Omsg_OAgent(v_Ba))))))))), v_evs3), c_Message_Oagent_OServer, c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NAa), c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa), c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Ba), c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(v_Aa), c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NAa), c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa), c_Message_Omsg_OAgent(v_Ba)))), c_Message_Omsg_OCrypt(c_Public_OshrK(v_Ba), c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NAa), c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NBa), c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa), c_Message_Omsg_OAgent(v_Ba)))))))))), c_List_Oset(v_evs3, tc_Event_Oevent), tc_Event_Oevent)) | c_in(c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NAa), c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa), c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Ba), c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(v_Aa), c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NAa), c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa), c_Message_Omsg_OAgent(v_Ba)))), c_Message_Omsg_OCrypt(c_Public_OshrK(v_Ba), c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NAa), c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NBa), c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa), c_Message_Omsg_OAgent(v_Ba))))))))), c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy, v_evs3)), tc_Message_Omsg))),
% 0.23/0.42 inference(quant_inst,[status(thm)],[])).
% 0.23/0.42 tff(52,plain,
% 0.23/0.42 ((~![V_X: $i, V_B: $i, V_A: $i, V_evs: $i] : ((~c_in(c_Event_Oevent_OSays(V_A, V_B, V_X), c_List_Oset(V_evs, tc_Event_Oevent), tc_Event_Oevent)) | c_in(V_X, c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy, V_evs)), tc_Message_Omsg))) | (~c_in(c_Event_Oevent_OSays(v_sko__usf(c_Message_Oagent_OServer, c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NAa), c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa), c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Ba), c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(v_Aa), c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NAa), c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa), c_Message_Omsg_OAgent(v_Ba)))), c_Message_Omsg_OCrypt(c_Public_OshrK(v_Ba), c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NAa), c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NBa), c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa), c_Message_Omsg_OAgent(v_Ba))))))))), v_evs3), c_Message_Oagent_OServer, c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NAa), c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa), c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Ba), c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(v_Aa), c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NAa), c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa), c_Message_Omsg_OAgent(v_Ba)))), c_Message_Omsg_OCrypt(c_Public_OshrK(v_Ba), c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NAa), c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NBa), c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa), c_Message_Omsg_OAgent(v_Ba)))))))))), c_List_Oset(v_evs3, tc_Event_Oevent), tc_Event_Oevent)) | c_in(c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NAa), c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa), c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Ba), c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(v_Aa), c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NAa), c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa), c_Message_Omsg_OAgent(v_Ba)))), c_Message_Omsg_OCrypt(c_Public_OshrK(v_Ba), c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NAa), c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NBa), c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa), c_Message_Omsg_OAgent(v_Ba))))))))), c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy, v_evs3)), tc_Message_Omsg)),
% 0.23/0.42 inference(modus_ponens,[status(thm)],[51, 50])).
% 0.23/0.42 tff(53,plain,
% 0.23/0.42 (c_in(c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NAa), c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa), c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Ba), c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(v_Aa), c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NAa), c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa), c_Message_Omsg_OAgent(v_Ba)))), c_Message_Omsg_OCrypt(c_Public_OshrK(v_Ba), c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NAa), c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NBa), c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa), c_Message_Omsg_OAgent(v_Ba))))))))), c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy, v_evs3)), tc_Message_Omsg)),
% 0.23/0.42 inference(unit_resolution,[status(thm)],[52, 49, 42])).
% 0.23/0.42 tff(54,plain,
% 0.23/0.42 (^[V_Y: $i, V_H: $i, V_X: $i] : refl(((~c_in(c_Message_Omsg_OMPair(V_X, V_Y), c_Message_Oanalz(V_H), tc_Message_Omsg)) | c_in(V_Y, c_Message_Oanalz(V_H), tc_Message_Omsg)) <=> ((~c_in(c_Message_Omsg_OMPair(V_X, V_Y), c_Message_Oanalz(V_H), tc_Message_Omsg)) | c_in(V_Y, c_Message_Oanalz(V_H), tc_Message_Omsg)))),
% 0.23/0.42 inference(bind,[status(th)],[])).
% 0.23/0.42 tff(55,plain,
% 0.23/0.42 (![V_Y: $i, V_H: $i, V_X: $i] : ((~c_in(c_Message_Omsg_OMPair(V_X, V_Y), c_Message_Oanalz(V_H), tc_Message_Omsg)) | c_in(V_Y, c_Message_Oanalz(V_H), tc_Message_Omsg)) <=> ![V_Y: $i, V_H: $i, V_X: $i] : ((~c_in(c_Message_Omsg_OMPair(V_X, V_Y), c_Message_Oanalz(V_H), tc_Message_Omsg)) | c_in(V_Y, c_Message_Oanalz(V_H), tc_Message_Omsg))),
% 0.23/0.42 inference(quant_intro,[status(thm)],[54])).
% 0.23/0.42 tff(56,plain,
% 0.23/0.42 (![V_Y: $i, V_H: $i, V_X: $i] : ((~c_in(c_Message_Omsg_OMPair(V_X, V_Y), c_Message_Oanalz(V_H), tc_Message_Omsg)) | c_in(V_Y, c_Message_Oanalz(V_H), tc_Message_Omsg)) <=> ![V_Y: $i, V_H: $i, V_X: $i] : ((~c_in(c_Message_Omsg_OMPair(V_X, V_Y), c_Message_Oanalz(V_H), tc_Message_Omsg)) | c_in(V_Y, c_Message_Oanalz(V_H), tc_Message_Omsg))),
% 0.23/0.42 inference(rewrite,[status(thm)],[])).
% 0.23/0.42 tff(57,axiom,(![V_Y: $i, V_H: $i, V_X: $i] : ((~c_in(c_Message_Omsg_OMPair(V_X, V_Y), c_Message_Oanalz(V_H), tc_Message_Omsg)) | c_in(V_Y, c_Message_Oanalz(V_H), tc_Message_Omsg))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','cls_Message_OMPair__analz_0')).
% 0.23/0.42 tff(58,plain,
% 0.23/0.42 (![V_Y: $i, V_H: $i, V_X: $i] : ((~c_in(c_Message_Omsg_OMPair(V_X, V_Y), c_Message_Oanalz(V_H), tc_Message_Omsg)) | c_in(V_Y, c_Message_Oanalz(V_H), tc_Message_Omsg))),
% 0.23/0.42 inference(modus_ponens,[status(thm)],[57, 56])).
% 0.23/0.42 tff(59,plain,(
% 0.23/0.42 ![V_Y: $i, V_H: $i, V_X: $i] : ((~c_in(c_Message_Omsg_OMPair(V_X, V_Y), c_Message_Oanalz(V_H), tc_Message_Omsg)) | c_in(V_Y, c_Message_Oanalz(V_H), tc_Message_Omsg))),
% 0.23/0.42 inference(skolemize,[status(sab)],[58])).
% 0.23/0.42 tff(60,plain,
% 0.23/0.42 (![V_Y: $i, V_H: $i, V_X: $i] : ((~c_in(c_Message_Omsg_OMPair(V_X, V_Y), c_Message_Oanalz(V_H), tc_Message_Omsg)) | c_in(V_Y, c_Message_Oanalz(V_H), tc_Message_Omsg))),
% 0.23/0.42 inference(modus_ponens,[status(thm)],[59, 55])).
% 0.23/0.42 tff(61,plain,
% 0.23/0.42 (((~![V_Y: $i, V_H: $i, V_X: $i] : ((~c_in(c_Message_Omsg_OMPair(V_X, V_Y), c_Message_Oanalz(V_H), tc_Message_Omsg)) | c_in(V_Y, c_Message_Oanalz(V_H), tc_Message_Omsg))) | ((~c_in(c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NAa), c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa), c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Ba), c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(v_Aa), c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NAa), c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa), c_Message_Omsg_OAgent(v_Ba)))), c_Message_Omsg_OCrypt(c_Public_OshrK(v_Ba), c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NAa), c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NBa), c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa), c_Message_Omsg_OAgent(v_Ba))))))))), c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy, v_evs3)), tc_Message_Omsg)) | c_in(c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa), c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Ba), c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(v_Aa), c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NAa), c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa), c_Message_Omsg_OAgent(v_Ba)))), c_Message_Omsg_OCrypt(c_Public_OshrK(v_Ba), c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NAa), c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NBa), c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa), c_Message_Omsg_OAgent(v_Ba)))))))), c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy, v_evs3)), tc_Message_Omsg))) <=> ((~![V_Y: $i, V_H: $i, V_X: $i] : ((~c_in(c_Message_Omsg_OMPair(V_X, V_Y), c_Message_Oanalz(V_H), tc_Message_Omsg)) | c_in(V_Y, c_Message_Oanalz(V_H), tc_Message_Omsg))) | (~c_in(c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NAa), c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa), c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Ba), c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(v_Aa), c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NAa), c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa), c_Message_Omsg_OAgent(v_Ba)))), c_Message_Omsg_OCrypt(c_Public_OshrK(v_Ba), c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NAa), c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NBa), c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa), c_Message_Omsg_OAgent(v_Ba))))))))), c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy, v_evs3)), tc_Message_Omsg)) | c_in(c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa), c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Ba), c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(v_Aa), c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NAa), c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa), c_Message_Omsg_OAgent(v_Ba)))), c_Message_Omsg_OCrypt(c_Public_OshrK(v_Ba), c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NAa), c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NBa), c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa), c_Message_Omsg_OAgent(v_Ba)))))))), c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy, v_evs3)), tc_Message_Omsg))),
% 0.23/0.42 inference(rewrite,[status(thm)],[])).
% 0.23/0.42 tff(62,plain,
% 0.23/0.42 ((~![V_Y: $i, V_H: $i, V_X: $i] : ((~c_in(c_Message_Omsg_OMPair(V_X, V_Y), c_Message_Oanalz(V_H), tc_Message_Omsg)) | c_in(V_Y, c_Message_Oanalz(V_H), tc_Message_Omsg))) | ((~c_in(c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NAa), c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa), c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Ba), c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(v_Aa), c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NAa), c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa), c_Message_Omsg_OAgent(v_Ba)))), c_Message_Omsg_OCrypt(c_Public_OshrK(v_Ba), c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NAa), c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NBa), c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa), c_Message_Omsg_OAgent(v_Ba))))))))), c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy, v_evs3)), tc_Message_Omsg)) | c_in(c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa), c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Ba), c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(v_Aa), c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NAa), c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa), c_Message_Omsg_OAgent(v_Ba)))), c_Message_Omsg_OCrypt(c_Public_OshrK(v_Ba), c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NAa), c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NBa), c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa), c_Message_Omsg_OAgent(v_Ba)))))))), c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy, v_evs3)), tc_Message_Omsg))),
% 0.23/0.43 inference(quant_inst,[status(thm)],[])).
% 0.23/0.43 tff(63,plain,
% 0.23/0.43 ((~![V_Y: $i, V_H: $i, V_X: $i] : ((~c_in(c_Message_Omsg_OMPair(V_X, V_Y), c_Message_Oanalz(V_H), tc_Message_Omsg)) | c_in(V_Y, c_Message_Oanalz(V_H), tc_Message_Omsg))) | (~c_in(c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NAa), c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa), c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Ba), c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(v_Aa), c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NAa), c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa), c_Message_Omsg_OAgent(v_Ba)))), c_Message_Omsg_OCrypt(c_Public_OshrK(v_Ba), c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NAa), c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NBa), c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa), c_Message_Omsg_OAgent(v_Ba))))))))), c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy, v_evs3)), tc_Message_Omsg)) | c_in(c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa), c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Ba), c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(v_Aa), c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NAa), c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa), c_Message_Omsg_OAgent(v_Ba)))), c_Message_Omsg_OCrypt(c_Public_OshrK(v_Ba), c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NAa), c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NBa), c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa), c_Message_Omsg_OAgent(v_Ba)))))))), c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy, v_evs3)), tc_Message_Omsg)),
% 0.23/0.43 inference(modus_ponens,[status(thm)],[62, 61])).
% 0.23/0.43 tff(64,plain,
% 0.23/0.43 (c_in(c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa), c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Ba), c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(v_Aa), c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NAa), c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa), c_Message_Omsg_OAgent(v_Ba)))), c_Message_Omsg_OCrypt(c_Public_OshrK(v_Ba), c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NAa), c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NBa), c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa), c_Message_Omsg_OAgent(v_Ba)))))))), c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy, v_evs3)), tc_Message_Omsg)),
% 0.23/0.43 inference(unit_resolution,[status(thm)],[63, 60, 53])).
% 0.23/0.43 tff(65,plain,
% 0.23/0.43 (((~![V_Y: $i, V_H: $i, V_X: $i] : ((~c_in(c_Message_Omsg_OMPair(V_X, V_Y), c_Message_Oanalz(V_H), tc_Message_Omsg)) | c_in(V_Y, c_Message_Oanalz(V_H), tc_Message_Omsg))) | ((~c_in(c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa), c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Ba), c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(v_Aa), c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NAa), c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa), c_Message_Omsg_OAgent(v_Ba)))), c_Message_Omsg_OCrypt(c_Public_OshrK(v_Ba), c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NAa), c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NBa), c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa), c_Message_Omsg_OAgent(v_Ba)))))))), c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy, v_evs3)), tc_Message_Omsg)) | c_in(c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Ba), c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(v_Aa), c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NAa), c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa), c_Message_Omsg_OAgent(v_Ba)))), c_Message_Omsg_OCrypt(c_Public_OshrK(v_Ba), c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NAa), c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NBa), c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa), c_Message_Omsg_OAgent(v_Ba))))))), c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy, v_evs3)), tc_Message_Omsg))) <=> ((~![V_Y: $i, V_H: $i, V_X: $i] : ((~c_in(c_Message_Omsg_OMPair(V_X, V_Y), c_Message_Oanalz(V_H), tc_Message_Omsg)) | c_in(V_Y, c_Message_Oanalz(V_H), tc_Message_Omsg))) | (~c_in(c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa), c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Ba), c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(v_Aa), c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NAa), c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa), c_Message_Omsg_OAgent(v_Ba)))), c_Message_Omsg_OCrypt(c_Public_OshrK(v_Ba), c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NAa), c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NBa), c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa), c_Message_Omsg_OAgent(v_Ba)))))))), c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy, v_evs3)), tc_Message_Omsg)) | c_in(c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Ba), c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(v_Aa), c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NAa), c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa), c_Message_Omsg_OAgent(v_Ba)))), c_Message_Omsg_OCrypt(c_Public_OshrK(v_Ba), c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NAa), c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NBa), c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa), c_Message_Omsg_OAgent(v_Ba))))))), c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy, v_evs3)), tc_Message_Omsg))),
% 0.23/0.43 inference(rewrite,[status(thm)],[])).
% 0.23/0.43 tff(66,plain,
% 0.23/0.43 ((~![V_Y: $i, V_H: $i, V_X: $i] : ((~c_in(c_Message_Omsg_OMPair(V_X, V_Y), c_Message_Oanalz(V_H), tc_Message_Omsg)) | c_in(V_Y, c_Message_Oanalz(V_H), tc_Message_Omsg))) | ((~c_in(c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa), c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Ba), c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(v_Aa), c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NAa), c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa), c_Message_Omsg_OAgent(v_Ba)))), c_Message_Omsg_OCrypt(c_Public_OshrK(v_Ba), c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NAa), c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NBa), c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa), c_Message_Omsg_OAgent(v_Ba)))))))), c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy, v_evs3)), tc_Message_Omsg)) | c_in(c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Ba), c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(v_Aa), c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NAa), c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa), c_Message_Omsg_OAgent(v_Ba)))), c_Message_Omsg_OCrypt(c_Public_OshrK(v_Ba), c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NAa), c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NBa), c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa), c_Message_Omsg_OAgent(v_Ba))))))), c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy, v_evs3)), tc_Message_Omsg))),
% 0.23/0.43 inference(quant_inst,[status(thm)],[])).
% 0.23/0.43 tff(67,plain,
% 0.23/0.43 ((~![V_Y: $i, V_H: $i, V_X: $i] : ((~c_in(c_Message_Omsg_OMPair(V_X, V_Y), c_Message_Oanalz(V_H), tc_Message_Omsg)) | c_in(V_Y, c_Message_Oanalz(V_H), tc_Message_Omsg))) | (~c_in(c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa), c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Ba), c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(v_Aa), c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NAa), c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa), c_Message_Omsg_OAgent(v_Ba)))), c_Message_Omsg_OCrypt(c_Public_OshrK(v_Ba), c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NAa), c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NBa), c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa), c_Message_Omsg_OAgent(v_Ba)))))))), c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy, v_evs3)), tc_Message_Omsg)) | c_in(c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Ba), c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(v_Aa), c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NAa), c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa), c_Message_Omsg_OAgent(v_Ba)))), c_Message_Omsg_OCrypt(c_Public_OshrK(v_Ba), c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NAa), c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NBa), c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa), c_Message_Omsg_OAgent(v_Ba))))))), c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy, v_evs3)), tc_Message_Omsg)),
% 0.23/0.43 inference(modus_ponens,[status(thm)],[66, 65])).
% 0.23/0.43 tff(68,plain,
% 0.23/0.43 ((~c_in(c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa), c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Ba), c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(v_Aa), c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NAa), c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa), c_Message_Omsg_OAgent(v_Ba)))), c_Message_Omsg_OCrypt(c_Public_OshrK(v_Ba), c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NAa), c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NBa), c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa), c_Message_Omsg_OAgent(v_Ba)))))))), c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy, v_evs3)), tc_Message_Omsg)) | c_in(c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Ba), c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(v_Aa), c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NAa), c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa), c_Message_Omsg_OAgent(v_Ba)))), c_Message_Omsg_OCrypt(c_Public_OshrK(v_Ba), c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NAa), c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NBa), c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa), c_Message_Omsg_OAgent(v_Ba))))))), c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy, v_evs3)), tc_Message_Omsg)),
% 0.23/0.43 inference(unit_resolution,[status(thm)],[67, 60])).
% 0.23/0.43 tff(69,plain,
% 0.23/0.43 (c_in(c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Ba), c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(v_Aa), c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NAa), c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa), c_Message_Omsg_OAgent(v_Ba)))), c_Message_Omsg_OCrypt(c_Public_OshrK(v_Ba), c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NAa), c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NBa), c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa), c_Message_Omsg_OAgent(v_Ba))))))), c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy, v_evs3)), tc_Message_Omsg)),
% 0.23/0.43 inference(unit_resolution,[status(thm)],[68, 64])).
% 0.23/0.43 tff(70,plain,
% 0.23/0.43 (((~![V_Y: $i, V_H: $i, V_X: $i] : ((~c_in(c_Message_Omsg_OMPair(V_X, V_Y), c_Message_Oanalz(V_H), tc_Message_Omsg)) | c_in(V_Y, c_Message_Oanalz(V_H), tc_Message_Omsg))) | ((~c_in(c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Ba), c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(v_Aa), c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NAa), c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa), c_Message_Omsg_OAgent(v_Ba)))), c_Message_Omsg_OCrypt(c_Public_OshrK(v_Ba), c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NAa), c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NBa), c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa), c_Message_Omsg_OAgent(v_Ba))))))), c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy, v_evs3)), tc_Message_Omsg)) | c_in(c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(v_Aa), c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NAa), c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa), c_Message_Omsg_OAgent(v_Ba)))), c_Message_Omsg_OCrypt(c_Public_OshrK(v_Ba), c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NAa), c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NBa), c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa), c_Message_Omsg_OAgent(v_Ba)))))), c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy, v_evs3)), tc_Message_Omsg))) <=> ((~![V_Y: $i, V_H: $i, V_X: $i] : ((~c_in(c_Message_Omsg_OMPair(V_X, V_Y), c_Message_Oanalz(V_H), tc_Message_Omsg)) | c_in(V_Y, c_Message_Oanalz(V_H), tc_Message_Omsg))) | (~c_in(c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Ba), c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(v_Aa), c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NAa), c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa), c_Message_Omsg_OAgent(v_Ba)))), c_Message_Omsg_OCrypt(c_Public_OshrK(v_Ba), c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NAa), c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NBa), c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa), c_Message_Omsg_OAgent(v_Ba))))))), c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy, v_evs3)), tc_Message_Omsg)) | c_in(c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(v_Aa), c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NAa), c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa), c_Message_Omsg_OAgent(v_Ba)))), c_Message_Omsg_OCrypt(c_Public_OshrK(v_Ba), c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NAa), c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NBa), c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa), c_Message_Omsg_OAgent(v_Ba)))))), c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy, v_evs3)), tc_Message_Omsg))),
% 0.23/0.43 inference(rewrite,[status(thm)],[])).
% 0.23/0.43 tff(71,plain,
% 0.23/0.43 ((~![V_Y: $i, V_H: $i, V_X: $i] : ((~c_in(c_Message_Omsg_OMPair(V_X, V_Y), c_Message_Oanalz(V_H), tc_Message_Omsg)) | c_in(V_Y, c_Message_Oanalz(V_H), tc_Message_Omsg))) | ((~c_in(c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Ba), c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(v_Aa), c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NAa), c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa), c_Message_Omsg_OAgent(v_Ba)))), c_Message_Omsg_OCrypt(c_Public_OshrK(v_Ba), c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NAa), c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NBa), c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa), c_Message_Omsg_OAgent(v_Ba))))))), c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy, v_evs3)), tc_Message_Omsg)) | c_in(c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(v_Aa), c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NAa), c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa), c_Message_Omsg_OAgent(v_Ba)))), c_Message_Omsg_OCrypt(c_Public_OshrK(v_Ba), c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NAa), c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NBa), c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa), c_Message_Omsg_OAgent(v_Ba)))))), c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy, v_evs3)), tc_Message_Omsg))),
% 0.23/0.43 inference(quant_inst,[status(thm)],[])).
% 0.23/0.43 tff(72,plain,
% 0.23/0.43 ((~![V_Y: $i, V_H: $i, V_X: $i] : ((~c_in(c_Message_Omsg_OMPair(V_X, V_Y), c_Message_Oanalz(V_H), tc_Message_Omsg)) | c_in(V_Y, c_Message_Oanalz(V_H), tc_Message_Omsg))) | (~c_in(c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Ba), c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(v_Aa), c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NAa), c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa), c_Message_Omsg_OAgent(v_Ba)))), c_Message_Omsg_OCrypt(c_Public_OshrK(v_Ba), c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NAa), c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NBa), c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa), c_Message_Omsg_OAgent(v_Ba))))))), c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy, v_evs3)), tc_Message_Omsg)) | c_in(c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(v_Aa), c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NAa), c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa), c_Message_Omsg_OAgent(v_Ba)))), c_Message_Omsg_OCrypt(c_Public_OshrK(v_Ba), c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NAa), c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NBa), c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa), c_Message_Omsg_OAgent(v_Ba)))))), c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy, v_evs3)), tc_Message_Omsg)),
% 0.23/0.43 inference(modus_ponens,[status(thm)],[71, 70])).
% 0.23/0.43 tff(73,plain,
% 0.23/0.43 ((~c_in(c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Ba), c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(v_Aa), c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NAa), c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa), c_Message_Omsg_OAgent(v_Ba)))), c_Message_Omsg_OCrypt(c_Public_OshrK(v_Ba), c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NAa), c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NBa), c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa), c_Message_Omsg_OAgent(v_Ba))))))), c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy, v_evs3)), tc_Message_Omsg)) | c_in(c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(v_Aa), c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NAa), c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa), c_Message_Omsg_OAgent(v_Ba)))), c_Message_Omsg_OCrypt(c_Public_OshrK(v_Ba), c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NAa), c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NBa), c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa), c_Message_Omsg_OAgent(v_Ba)))))), c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy, v_evs3)), tc_Message_Omsg)),
% 0.23/0.43 inference(unit_resolution,[status(thm)],[72, 60])).
% 0.23/0.43 tff(74,plain,
% 0.23/0.43 (c_in(c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(v_Aa), c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NAa), c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa), c_Message_Omsg_OAgent(v_Ba)))), c_Message_Omsg_OCrypt(c_Public_OshrK(v_Ba), c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NAa), c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NBa), c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa), c_Message_Omsg_OAgent(v_Ba)))))), c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy, v_evs3)), tc_Message_Omsg)),
% 0.23/0.43 inference(unit_resolution,[status(thm)],[73, 69])).
% 0.23/0.43 tff(75,plain,
% 0.23/0.43 (((~![V_Y: $i, V_H: $i, V_X: $i] : ((~c_in(c_Message_Omsg_OMPair(V_X, V_Y), c_Message_Oanalz(V_H), tc_Message_Omsg)) | c_in(V_Y, c_Message_Oanalz(V_H), tc_Message_Omsg))) | ((~c_in(c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(v_Aa), c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NAa), c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa), c_Message_Omsg_OAgent(v_Ba)))), c_Message_Omsg_OCrypt(c_Public_OshrK(v_Ba), c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NAa), c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NBa), c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa), c_Message_Omsg_OAgent(v_Ba)))))), c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy, v_evs3)), tc_Message_Omsg)) | c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_Ba), c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NAa), c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NBa), c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa), c_Message_Omsg_OAgent(v_Ba))))), c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy, v_evs3)), tc_Message_Omsg))) <=> ((~![V_Y: $i, V_H: $i, V_X: $i] : ((~c_in(c_Message_Omsg_OMPair(V_X, V_Y), c_Message_Oanalz(V_H), tc_Message_Omsg)) | c_in(V_Y, c_Message_Oanalz(V_H), tc_Message_Omsg))) | (~c_in(c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(v_Aa), c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NAa), c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa), c_Message_Omsg_OAgent(v_Ba)))), c_Message_Omsg_OCrypt(c_Public_OshrK(v_Ba), c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NAa), c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NBa), c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa), c_Message_Omsg_OAgent(v_Ba)))))), c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy, v_evs3)), tc_Message_Omsg)) | c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_Ba), c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NAa), c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NBa), c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa), c_Message_Omsg_OAgent(v_Ba))))), c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy, v_evs3)), tc_Message_Omsg))),
% 0.23/0.43 inference(rewrite,[status(thm)],[])).
% 0.23/0.43 tff(76,plain,
% 0.23/0.43 ((~![V_Y: $i, V_H: $i, V_X: $i] : ((~c_in(c_Message_Omsg_OMPair(V_X, V_Y), c_Message_Oanalz(V_H), tc_Message_Omsg)) | c_in(V_Y, c_Message_Oanalz(V_H), tc_Message_Omsg))) | ((~c_in(c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(v_Aa), c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NAa), c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa), c_Message_Omsg_OAgent(v_Ba)))), c_Message_Omsg_OCrypt(c_Public_OshrK(v_Ba), c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NAa), c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NBa), c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa), c_Message_Omsg_OAgent(v_Ba)))))), c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy, v_evs3)), tc_Message_Omsg)) | c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_Ba), c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NAa), c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NBa), c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa), c_Message_Omsg_OAgent(v_Ba))))), c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy, v_evs3)), tc_Message_Omsg))),
% 0.23/0.43 inference(quant_inst,[status(thm)],[])).
% 0.23/0.43 tff(77,plain,
% 0.23/0.43 ((~![V_Y: $i, V_H: $i, V_X: $i] : ((~c_in(c_Message_Omsg_OMPair(V_X, V_Y), c_Message_Oanalz(V_H), tc_Message_Omsg)) | c_in(V_Y, c_Message_Oanalz(V_H), tc_Message_Omsg))) | (~c_in(c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(v_Aa), c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NAa), c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa), c_Message_Omsg_OAgent(v_Ba)))), c_Message_Omsg_OCrypt(c_Public_OshrK(v_Ba), c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NAa), c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NBa), c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa), c_Message_Omsg_OAgent(v_Ba)))))), c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy, v_evs3)), tc_Message_Omsg)) | c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_Ba), c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NAa), c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NBa), c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa), c_Message_Omsg_OAgent(v_Ba))))), c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy, v_evs3)), tc_Message_Omsg)),
% 0.23/0.44 inference(modus_ponens,[status(thm)],[76, 75])).
% 0.23/0.44 tff(78,plain,
% 0.23/0.44 ((~c_in(c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(v_Aa), c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NAa), c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa), c_Message_Omsg_OAgent(v_Ba)))), c_Message_Omsg_OCrypt(c_Public_OshrK(v_Ba), c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NAa), c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NBa), c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa), c_Message_Omsg_OAgent(v_Ba)))))), c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy, v_evs3)), tc_Message_Omsg)) | c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_Ba), c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NAa), c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NBa), c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa), c_Message_Omsg_OAgent(v_Ba))))), c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy, v_evs3)), tc_Message_Omsg)),
% 0.23/0.44 inference(unit_resolution,[status(thm)],[77, 60])).
% 0.23/0.44 tff(79,plain,
% 0.23/0.44 (c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_Ba), c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NAa), c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NBa), c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa), c_Message_Omsg_OAgent(v_Ba))))), c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy, v_evs3)), tc_Message_Omsg)),
% 0.23/0.44 inference(unit_resolution,[status(thm)],[78, 74])).
% 0.23/0.44 tff(80,plain,
% 0.23/0.44 (^[V_c: $i, V_H: $i] : refl(((~c_in(V_c, c_Message_Oanalz(V_H), tc_Message_Omsg)) | c_in(V_c, c_Message_Oparts(V_H), tc_Message_Omsg)) <=> ((~c_in(V_c, c_Message_Oanalz(V_H), tc_Message_Omsg)) | c_in(V_c, c_Message_Oparts(V_H), tc_Message_Omsg)))),
% 0.23/0.44 inference(bind,[status(th)],[])).
% 0.23/0.44 tff(81,plain,
% 0.23/0.44 (![V_c: $i, V_H: $i] : ((~c_in(V_c, c_Message_Oanalz(V_H), tc_Message_Omsg)) | c_in(V_c, c_Message_Oparts(V_H), tc_Message_Omsg)) <=> ![V_c: $i, V_H: $i] : ((~c_in(V_c, c_Message_Oanalz(V_H), tc_Message_Omsg)) | c_in(V_c, c_Message_Oparts(V_H), tc_Message_Omsg))),
% 0.23/0.44 inference(quant_intro,[status(thm)],[80])).
% 0.23/0.44 tff(82,plain,
% 0.23/0.44 (![V_c: $i, V_H: $i] : ((~c_in(V_c, c_Message_Oanalz(V_H), tc_Message_Omsg)) | c_in(V_c, c_Message_Oparts(V_H), tc_Message_Omsg)) <=> ![V_c: $i, V_H: $i] : ((~c_in(V_c, c_Message_Oanalz(V_H), tc_Message_Omsg)) | c_in(V_c, c_Message_Oparts(V_H), tc_Message_Omsg))),
% 0.23/0.44 inference(rewrite,[status(thm)],[])).
% 0.23/0.44 tff(83,axiom,(![V_c: $i, V_H: $i] : ((~c_in(V_c, c_Message_Oanalz(V_H), tc_Message_Omsg)) | c_in(V_c, c_Message_Oparts(V_H), tc_Message_Omsg))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','cls_Message_Oanalz__into__parts__dest_0')).
% 0.23/0.44 tff(84,plain,
% 0.23/0.44 (![V_c: $i, V_H: $i] : ((~c_in(V_c, c_Message_Oanalz(V_H), tc_Message_Omsg)) | c_in(V_c, c_Message_Oparts(V_H), tc_Message_Omsg))),
% 0.23/0.44 inference(modus_ponens,[status(thm)],[83, 82])).
% 0.23/0.44 tff(85,plain,(
% 0.23/0.44 ![V_c: $i, V_H: $i] : ((~c_in(V_c, c_Message_Oanalz(V_H), tc_Message_Omsg)) | c_in(V_c, c_Message_Oparts(V_H), tc_Message_Omsg))),
% 0.23/0.44 inference(skolemize,[status(sab)],[84])).
% 0.23/0.44 tff(86,plain,
% 0.23/0.44 (![V_c: $i, V_H: $i] : ((~c_in(V_c, c_Message_Oanalz(V_H), tc_Message_Omsg)) | c_in(V_c, c_Message_Oparts(V_H), tc_Message_Omsg))),
% 0.23/0.44 inference(modus_ponens,[status(thm)],[85, 81])).
% 0.23/0.44 tff(87,plain,
% 0.23/0.44 (((~![V_c: $i, V_H: $i] : ((~c_in(V_c, c_Message_Oanalz(V_H), tc_Message_Omsg)) | c_in(V_c, c_Message_Oparts(V_H), tc_Message_Omsg))) | ((~c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_Ba), c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NAa), c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NBa), c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa), c_Message_Omsg_OAgent(v_Ba))))), c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy, v_evs3)), tc_Message_Omsg)) | c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_Ba), c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NAa), c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NBa), c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa), c_Message_Omsg_OAgent(v_Ba))))), c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy, v_evs3)), tc_Message_Omsg))) <=> ((~![V_c: $i, V_H: $i] : ((~c_in(V_c, c_Message_Oanalz(V_H), tc_Message_Omsg)) | c_in(V_c, c_Message_Oparts(V_H), tc_Message_Omsg))) | (~c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_Ba), c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NAa), c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NBa), c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa), c_Message_Omsg_OAgent(v_Ba))))), c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy, v_evs3)), tc_Message_Omsg)) | c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_Ba), c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NAa), c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NBa), c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa), c_Message_Omsg_OAgent(v_Ba))))), c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy, v_evs3)), tc_Message_Omsg))),
% 0.23/0.44 inference(rewrite,[status(thm)],[])).
% 0.23/0.44 tff(88,plain,
% 0.23/0.44 ((~![V_c: $i, V_H: $i] : ((~c_in(V_c, c_Message_Oanalz(V_H), tc_Message_Omsg)) | c_in(V_c, c_Message_Oparts(V_H), tc_Message_Omsg))) | ((~c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_Ba), c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NAa), c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NBa), c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa), c_Message_Omsg_OAgent(v_Ba))))), c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy, v_evs3)), tc_Message_Omsg)) | c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_Ba), c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NAa), c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NBa), c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa), c_Message_Omsg_OAgent(v_Ba))))), c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy, v_evs3)), tc_Message_Omsg))),
% 0.23/0.44 inference(quant_inst,[status(thm)],[])).
% 0.23/0.44 tff(89,plain,
% 0.23/0.44 ((~![V_c: $i, V_H: $i] : ((~c_in(V_c, c_Message_Oanalz(V_H), tc_Message_Omsg)) | c_in(V_c, c_Message_Oparts(V_H), tc_Message_Omsg))) | (~c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_Ba), c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NAa), c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NBa), c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa), c_Message_Omsg_OAgent(v_Ba))))), c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy, v_evs3)), tc_Message_Omsg)) | c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_Ba), c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NAa), c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NBa), c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa), c_Message_Omsg_OAgent(v_Ba))))), c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy, v_evs3)), tc_Message_Omsg)),
% 0.23/0.44 inference(modus_ponens,[status(thm)],[88, 87])).
% 0.23/0.44 tff(90,plain,
% 0.23/0.44 (c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_Ba), c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NAa), c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NBa), c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa), c_Message_Omsg_OAgent(v_Ba))))), c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy, v_evs3)), tc_Message_Omsg)),
% 0.23/0.44 inference(unit_resolution,[status(thm)],[89, 86, 79])).
% 0.23/0.44 tff(91,plain,
% 0.23/0.44 (^[V_NA: $i, V_NB: $i, V_B: $i, V_A: $i, V_evs: $i] : refl((c_in(c_Event_Oevent_OSays(V_B, c_Message_Oagent_OServer, c_Message_Omsg_OMPair(V_NA, c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(V_A), c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(V_B), c_Message_Omsg_OMPair(v_sko__u__1(V_A, V_B, V_NA, V_NB, V_evs), c_Message_Omsg_OCrypt(c_Public_OshrK(V_B), c_Message_Omsg_OMPair(V_NA, c_Message_Omsg_OMPair(V_NB, c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(V_A), c_Message_Omsg_OAgent(V_B)))))))))), c_List_Oset(V_evs, tc_Event_Oevent), tc_Event_Oevent) | c_in(V_B, c_Event_Obad, tc_Message_Oagent) | (~c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(V_B), c_Message_Omsg_OMPair(V_NA, c_Message_Omsg_OMPair(V_NB, c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(V_A), c_Message_Omsg_OAgent(V_B))))), c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy, V_evs)), tc_Message_Omsg)) | (~c_in(V_evs, c_OtwayRees_Ootway, tc_List_Olist(tc_Event_Oevent)))) <=> (c_in(c_Event_Oevent_OSays(V_B, c_Message_Oagent_OServer, c_Message_Omsg_OMPair(V_NA, c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(V_A), c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(V_B), c_Message_Omsg_OMPair(v_sko__u__1(V_A, V_B, V_NA, V_NB, V_evs), c_Message_Omsg_OCrypt(c_Public_OshrK(V_B), c_Message_Omsg_OMPair(V_NA, c_Message_Omsg_OMPair(V_NB, c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(V_A), c_Message_Omsg_OAgent(V_B)))))))))), c_List_Oset(V_evs, tc_Event_Oevent), tc_Event_Oevent) | c_in(V_B, c_Event_Obad, tc_Message_Oagent) | (~c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(V_B), c_Message_Omsg_OMPair(V_NA, c_Message_Omsg_OMPair(V_NB, c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(V_A), c_Message_Omsg_OAgent(V_B))))), c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy, V_evs)), tc_Message_Omsg)) | (~c_in(V_evs, c_OtwayRees_Ootway, tc_List_Olist(tc_Event_Oevent)))))),
% 0.23/0.44 inference(bind,[status(th)],[])).
% 0.23/0.44 tff(92,plain,
% 0.23/0.44 (![V_NA: $i, V_NB: $i, V_B: $i, V_A: $i, V_evs: $i] : (c_in(c_Event_Oevent_OSays(V_B, c_Message_Oagent_OServer, c_Message_Omsg_OMPair(V_NA, c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(V_A), c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(V_B), c_Message_Omsg_OMPair(v_sko__u__1(V_A, V_B, V_NA, V_NB, V_evs), c_Message_Omsg_OCrypt(c_Public_OshrK(V_B), c_Message_Omsg_OMPair(V_NA, c_Message_Omsg_OMPair(V_NB, c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(V_A), c_Message_Omsg_OAgent(V_B)))))))))), c_List_Oset(V_evs, tc_Event_Oevent), tc_Event_Oevent) | c_in(V_B, c_Event_Obad, tc_Message_Oagent) | (~c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(V_B), c_Message_Omsg_OMPair(V_NA, c_Message_Omsg_OMPair(V_NB, c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(V_A), c_Message_Omsg_OAgent(V_B))))), c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy, V_evs)), tc_Message_Omsg)) | (~c_in(V_evs, c_OtwayRees_Ootway, tc_List_Olist(tc_Event_Oevent)))) <=> ![V_NA: $i, V_NB: $i, V_B: $i, V_A: $i, V_evs: $i] : (c_in(c_Event_Oevent_OSays(V_B, c_Message_Oagent_OServer, c_Message_Omsg_OMPair(V_NA, c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(V_A), c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(V_B), c_Message_Omsg_OMPair(v_sko__u__1(V_A, V_B, V_NA, V_NB, V_evs), c_Message_Omsg_OCrypt(c_Public_OshrK(V_B), c_Message_Omsg_OMPair(V_NA, c_Message_Omsg_OMPair(V_NB, c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(V_A), c_Message_Omsg_OAgent(V_B)))))))))), c_List_Oset(V_evs, tc_Event_Oevent), tc_Event_Oevent) | c_in(V_B, c_Event_Obad, tc_Message_Oagent) | (~c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(V_B), c_Message_Omsg_OMPair(V_NA, c_Message_Omsg_OMPair(V_NB, c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(V_A), c_Message_Omsg_OAgent(V_B))))), c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy, V_evs)), tc_Message_Omsg)) | (~c_in(V_evs, c_OtwayRees_Ootway, tc_List_Olist(tc_Event_Oevent))))),
% 0.23/0.44 inference(quant_intro,[status(thm)],[91])).
% 0.23/0.44 tff(93,plain,
% 0.23/0.44 (![V_NA: $i, V_NB: $i, V_B: $i, V_A: $i, V_evs: $i] : (c_in(c_Event_Oevent_OSays(V_B, c_Message_Oagent_OServer, c_Message_Omsg_OMPair(V_NA, c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(V_A), c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(V_B), c_Message_Omsg_OMPair(v_sko__u__1(V_A, V_B, V_NA, V_NB, V_evs), c_Message_Omsg_OCrypt(c_Public_OshrK(V_B), c_Message_Omsg_OMPair(V_NA, c_Message_Omsg_OMPair(V_NB, c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(V_A), c_Message_Omsg_OAgent(V_B)))))))))), c_List_Oset(V_evs, tc_Event_Oevent), tc_Event_Oevent) | c_in(V_B, c_Event_Obad, tc_Message_Oagent) | (~c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(V_B), c_Message_Omsg_OMPair(V_NA, c_Message_Omsg_OMPair(V_NB, c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(V_A), c_Message_Omsg_OAgent(V_B))))), c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy, V_evs)), tc_Message_Omsg)) | (~c_in(V_evs, c_OtwayRees_Ootway, tc_List_Olist(tc_Event_Oevent)))) <=> ![V_NA: $i, V_NB: $i, V_B: $i, V_A: $i, V_evs: $i] : (c_in(c_Event_Oevent_OSays(V_B, c_Message_Oagent_OServer, c_Message_Omsg_OMPair(V_NA, c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(V_A), c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(V_B), c_Message_Omsg_OMPair(v_sko__u__1(V_A, V_B, V_NA, V_NB, V_evs), c_Message_Omsg_OCrypt(c_Public_OshrK(V_B), c_Message_Omsg_OMPair(V_NA, c_Message_Omsg_OMPair(V_NB, c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(V_A), c_Message_Omsg_OAgent(V_B)))))))))), c_List_Oset(V_evs, tc_Event_Oevent), tc_Event_Oevent) | c_in(V_B, c_Event_Obad, tc_Message_Oagent) | (~c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(V_B), c_Message_Omsg_OMPair(V_NA, c_Message_Omsg_OMPair(V_NB, c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(V_A), c_Message_Omsg_OAgent(V_B))))), c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy, V_evs)), tc_Message_Omsg)) | (~c_in(V_evs, c_OtwayRees_Ootway, tc_List_Olist(tc_Event_Oevent))))),
% 0.23/0.44 inference(rewrite,[status(thm)],[])).
% 0.23/0.44 tff(94,plain,
% 0.23/0.44 (^[V_NA: $i, V_NB: $i, V_B: $i, V_A: $i, V_evs: $i] : trans(monotonicity(rewrite((((~c_in(V_evs, c_OtwayRees_Ootway, tc_List_Olist(tc_Event_Oevent))) | (~c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(V_B), c_Message_Omsg_OMPair(V_NA, c_Message_Omsg_OMPair(V_NB, c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(V_A), c_Message_Omsg_OAgent(V_B))))), c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy, V_evs)), tc_Message_Omsg))) | c_in(V_B, c_Event_Obad, tc_Message_Oagent)) <=> (c_in(V_B, c_Event_Obad, tc_Message_Oagent) | (~c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(V_B), c_Message_Omsg_OMPair(V_NA, c_Message_Omsg_OMPair(V_NB, c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(V_A), c_Message_Omsg_OAgent(V_B))))), c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy, V_evs)), tc_Message_Omsg)) | (~c_in(V_evs, c_OtwayRees_Ootway, tc_List_Olist(tc_Event_Oevent))))), (((((~c_in(V_evs, c_OtwayRees_Ootway, tc_List_Olist(tc_Event_Oevent))) | (~c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(V_B), c_Message_Omsg_OMPair(V_NA, c_Message_Omsg_OMPair(V_NB, c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(V_A), c_Message_Omsg_OAgent(V_B))))), c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy, V_evs)), tc_Message_Omsg))) | c_in(V_B, c_Event_Obad, tc_Message_Oagent)) | c_in(c_Event_Oevent_OSays(V_B, c_Message_Oagent_OServer, c_Message_Omsg_OMPair(V_NA, c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(V_A), c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(V_B), c_Message_Omsg_OMPair(v_sko__u__1(V_A, V_B, V_NA, V_NB, V_evs), c_Message_Omsg_OCrypt(c_Public_OshrK(V_B), c_Message_Omsg_OMPair(V_NA, c_Message_Omsg_OMPair(V_NB, c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(V_A), c_Message_Omsg_OAgent(V_B)))))))))), c_List_Oset(V_evs, tc_Event_Oevent), tc_Event_Oevent)) <=> ((c_in(V_B, c_Event_Obad, tc_Message_Oagent) | (~c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(V_B), c_Message_Omsg_OMPair(V_NA, c_Message_Omsg_OMPair(V_NB, c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(V_A), c_Message_Omsg_OAgent(V_B))))), c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy, V_evs)), tc_Message_Omsg)) | (~c_in(V_evs, c_OtwayRees_Ootway, tc_List_Olist(tc_Event_Oevent)))) | c_in(c_Event_Oevent_OSays(V_B, c_Message_Oagent_OServer, c_Message_Omsg_OMPair(V_NA, c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(V_A), c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(V_B), c_Message_Omsg_OMPair(v_sko__u__1(V_A, V_B, V_NA, V_NB, V_evs), c_Message_Omsg_OCrypt(c_Public_OshrK(V_B), c_Message_Omsg_OMPair(V_NA, c_Message_Omsg_OMPair(V_NB, c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(V_A), c_Message_Omsg_OAgent(V_B)))))))))), c_List_Oset(V_evs, tc_Event_Oevent), tc_Event_Oevent)))), rewrite(((c_in(V_B, c_Event_Obad, tc_Message_Oagent) | (~c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(V_B), c_Message_Omsg_OMPair(V_NA, c_Message_Omsg_OMPair(V_NB, c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(V_A), c_Message_Omsg_OAgent(V_B))))), c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy, V_evs)), tc_Message_Omsg)) | (~c_in(V_evs, c_OtwayRees_Ootway, tc_List_Olist(tc_Event_Oevent)))) | c_in(c_Event_Oevent_OSays(V_B, c_Message_Oagent_OServer, c_Message_Omsg_OMPair(V_NA, c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(V_A), c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(V_B), c_Message_Omsg_OMPair(v_sko__u__1(V_A, V_B, V_NA, V_NB, V_evs), c_Message_Omsg_OCrypt(c_Public_OshrK(V_B), c_Message_Omsg_OMPair(V_NA, c_Message_Omsg_OMPair(V_NB, c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(V_A), c_Message_Omsg_OAgent(V_B)))))))))), c_List_Oset(V_evs, tc_Event_Oevent), tc_Event_Oevent)) <=> (c_in(c_Event_Oevent_OSays(V_B, c_Message_Oagent_OServer, c_Message_Omsg_OMPair(V_NA, c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(V_A), c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(V_B), c_Message_Omsg_OMPair(v_sko__u__1(V_A, V_B, V_NA, V_NB, V_evs), c_Message_Omsg_OCrypt(c_Public_OshrK(V_B), c_Message_Omsg_OMPair(V_NA, c_Message_Omsg_OMPair(V_NB, c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(V_A), c_Message_Omsg_OAgent(V_B)))))))))), c_List_Oset(V_evs, tc_Event_Oevent), tc_Event_Oevent) | c_in(V_B, c_Event_Obad, tc_Message_Oagent) | (~c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(V_B), c_Message_Omsg_OMPair(V_NA, c_Message_Omsg_OMPair(V_NB, c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(V_A), c_Message_Omsg_OAgent(V_B))))), c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy, V_evs)), tc_Message_Omsg)) | (~c_in(V_evs, c_OtwayRees_Ootway, tc_List_Olist(tc_Event_Oevent))))), (((((~c_in(V_evs, c_OtwayRees_Ootway, tc_List_Olist(tc_Event_Oevent))) | (~c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(V_B), c_Message_Omsg_OMPair(V_NA, c_Message_Omsg_OMPair(V_NB, c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(V_A), c_Message_Omsg_OAgent(V_B))))), c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy, V_evs)), tc_Message_Omsg))) | c_in(V_B, c_Event_Obad, tc_Message_Oagent)) | c_in(c_Event_Oevent_OSays(V_B, c_Message_Oagent_OServer, c_Message_Omsg_OMPair(V_NA, c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(V_A), c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(V_B), c_Message_Omsg_OMPair(v_sko__u__1(V_A, V_B, V_NA, V_NB, V_evs), c_Message_Omsg_OCrypt(c_Public_OshrK(V_B), c_Message_Omsg_OMPair(V_NA, c_Message_Omsg_OMPair(V_NB, c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(V_A), c_Message_Omsg_OAgent(V_B)))))))))), c_List_Oset(V_evs, tc_Event_Oevent), tc_Event_Oevent)) <=> (c_in(c_Event_Oevent_OSays(V_B, c_Message_Oagent_OServer, c_Message_Omsg_OMPair(V_NA, c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(V_A), c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(V_B), c_Message_Omsg_OMPair(v_sko__u__1(V_A, V_B, V_NA, V_NB, V_evs), c_Message_Omsg_OCrypt(c_Public_OshrK(V_B), c_Message_Omsg_OMPair(V_NA, c_Message_Omsg_OMPair(V_NB, c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(V_A), c_Message_Omsg_OAgent(V_B)))))))))), c_List_Oset(V_evs, tc_Event_Oevent), tc_Event_Oevent) | c_in(V_B, c_Event_Obad, tc_Message_Oagent) | (~c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(V_B), c_Message_Omsg_OMPair(V_NA, c_Message_Omsg_OMPair(V_NB, c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(V_A), c_Message_Omsg_OAgent(V_B))))), c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy, V_evs)), tc_Message_Omsg)) | (~c_in(V_evs, c_OtwayRees_Ootway, tc_List_Olist(tc_Event_Oevent))))))),
% 0.23/0.44 inference(bind,[status(th)],[])).
% 0.23/0.44 tff(95,plain,
% 0.23/0.44 (![V_NA: $i, V_NB: $i, V_B: $i, V_A: $i, V_evs: $i] : ((((~c_in(V_evs, c_OtwayRees_Ootway, tc_List_Olist(tc_Event_Oevent))) | (~c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(V_B), c_Message_Omsg_OMPair(V_NA, c_Message_Omsg_OMPair(V_NB, c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(V_A), c_Message_Omsg_OAgent(V_B))))), c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy, V_evs)), tc_Message_Omsg))) | c_in(V_B, c_Event_Obad, tc_Message_Oagent)) | c_in(c_Event_Oevent_OSays(V_B, c_Message_Oagent_OServer, c_Message_Omsg_OMPair(V_NA, c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(V_A), c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(V_B), c_Message_Omsg_OMPair(v_sko__u__1(V_A, V_B, V_NA, V_NB, V_evs), c_Message_Omsg_OCrypt(c_Public_OshrK(V_B), c_Message_Omsg_OMPair(V_NA, c_Message_Omsg_OMPair(V_NB, c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(V_A), c_Message_Omsg_OAgent(V_B)))))))))), c_List_Oset(V_evs, tc_Event_Oevent), tc_Event_Oevent)) <=> ![V_NA: $i, V_NB: $i, V_B: $i, V_A: $i, V_evs: $i] : (c_in(c_Event_Oevent_OSays(V_B, c_Message_Oagent_OServer, c_Message_Omsg_OMPair(V_NA, c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(V_A), c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(V_B), c_Message_Omsg_OMPair(v_sko__u__1(V_A, V_B, V_NA, V_NB, V_evs), c_Message_Omsg_OCrypt(c_Public_OshrK(V_B), c_Message_Omsg_OMPair(V_NA, c_Message_Omsg_OMPair(V_NB, c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(V_A), c_Message_Omsg_OAgent(V_B)))))))))), c_List_Oset(V_evs, tc_Event_Oevent), tc_Event_Oevent) | c_in(V_B, c_Event_Obad, tc_Message_Oagent) | (~c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(V_B), c_Message_Omsg_OMPair(V_NA, c_Message_Omsg_OMPair(V_NB, c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(V_A), c_Message_Omsg_OAgent(V_B))))), c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy, V_evs)), tc_Message_Omsg)) | (~c_in(V_evs, c_OtwayRees_Ootway, tc_List_Olist(tc_Event_Oevent))))),
% 0.23/0.45 inference(quant_intro,[status(thm)],[94])).
% 0.23/0.45 tff(96,axiom,(![V_NA: $i, V_NB: $i, V_B: $i, V_A: $i, V_evs: $i] : ((((~c_in(V_evs, c_OtwayRees_Ootway, tc_List_Olist(tc_Event_Oevent))) | (~c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(V_B), c_Message_Omsg_OMPair(V_NA, c_Message_Omsg_OMPair(V_NB, c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(V_A), c_Message_Omsg_OAgent(V_B))))), c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy, V_evs)), tc_Message_Omsg))) | c_in(V_B, c_Event_Obad, tc_Message_Oagent)) | c_in(c_Event_Oevent_OSays(V_B, c_Message_Oagent_OServer, c_Message_Omsg_OMPair(V_NA, c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(V_A), c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(V_B), c_Message_Omsg_OMPair(v_sko__u__1(V_A, V_B, V_NA, V_NB, V_evs), c_Message_Omsg_OCrypt(c_Public_OshrK(V_B), c_Message_Omsg_OMPair(V_NA, c_Message_Omsg_OMPair(V_NB, c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(V_A), c_Message_Omsg_OAgent(V_B)))))))))), c_List_Oset(V_evs, tc_Event_Oevent), tc_Event_Oevent))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','cls_OtwayRees_OCrypt__imp__OR2__dest_0')).
% 0.23/0.45 tff(97,plain,
% 0.23/0.45 (![V_NA: $i, V_NB: $i, V_B: $i, V_A: $i, V_evs: $i] : (c_in(c_Event_Oevent_OSays(V_B, c_Message_Oagent_OServer, c_Message_Omsg_OMPair(V_NA, c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(V_A), c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(V_B), c_Message_Omsg_OMPair(v_sko__u__1(V_A, V_B, V_NA, V_NB, V_evs), c_Message_Omsg_OCrypt(c_Public_OshrK(V_B), c_Message_Omsg_OMPair(V_NA, c_Message_Omsg_OMPair(V_NB, c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(V_A), c_Message_Omsg_OAgent(V_B)))))))))), c_List_Oset(V_evs, tc_Event_Oevent), tc_Event_Oevent) | c_in(V_B, c_Event_Obad, tc_Message_Oagent) | (~c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(V_B), c_Message_Omsg_OMPair(V_NA, c_Message_Omsg_OMPair(V_NB, c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(V_A), c_Message_Omsg_OAgent(V_B))))), c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy, V_evs)), tc_Message_Omsg)) | (~c_in(V_evs, c_OtwayRees_Ootway, tc_List_Olist(tc_Event_Oevent))))),
% 0.23/0.45 inference(modus_ponens,[status(thm)],[96, 95])).
% 0.23/0.45 tff(98,plain,
% 0.23/0.45 (![V_NA: $i, V_NB: $i, V_B: $i, V_A: $i, V_evs: $i] : (c_in(c_Event_Oevent_OSays(V_B, c_Message_Oagent_OServer, c_Message_Omsg_OMPair(V_NA, c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(V_A), c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(V_B), c_Message_Omsg_OMPair(v_sko__u__1(V_A, V_B, V_NA, V_NB, V_evs), c_Message_Omsg_OCrypt(c_Public_OshrK(V_B), c_Message_Omsg_OMPair(V_NA, c_Message_Omsg_OMPair(V_NB, c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(V_A), c_Message_Omsg_OAgent(V_B)))))))))), c_List_Oset(V_evs, tc_Event_Oevent), tc_Event_Oevent) | c_in(V_B, c_Event_Obad, tc_Message_Oagent) | (~c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(V_B), c_Message_Omsg_OMPair(V_NA, c_Message_Omsg_OMPair(V_NB, c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(V_A), c_Message_Omsg_OAgent(V_B))))), c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy, V_evs)), tc_Message_Omsg)) | (~c_in(V_evs, c_OtwayRees_Ootway, tc_List_Olist(tc_Event_Oevent))))),
% 0.23/0.45 inference(modus_ponens,[status(thm)],[97, 93])).
% 0.23/0.45 tff(99,plain,(
% 0.23/0.45 ![V_NA: $i, V_NB: $i, V_B: $i, V_A: $i, V_evs: $i] : (c_in(c_Event_Oevent_OSays(V_B, c_Message_Oagent_OServer, c_Message_Omsg_OMPair(V_NA, c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(V_A), c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(V_B), c_Message_Omsg_OMPair(v_sko__u__1(V_A, V_B, V_NA, V_NB, V_evs), c_Message_Omsg_OCrypt(c_Public_OshrK(V_B), c_Message_Omsg_OMPair(V_NA, c_Message_Omsg_OMPair(V_NB, c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(V_A), c_Message_Omsg_OAgent(V_B)))))))))), c_List_Oset(V_evs, tc_Event_Oevent), tc_Event_Oevent) | c_in(V_B, c_Event_Obad, tc_Message_Oagent) | (~c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(V_B), c_Message_Omsg_OMPair(V_NA, c_Message_Omsg_OMPair(V_NB, c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(V_A), c_Message_Omsg_OAgent(V_B))))), c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy, V_evs)), tc_Message_Omsg)) | (~c_in(V_evs, c_OtwayRees_Ootway, tc_List_Olist(tc_Event_Oevent))))),
% 0.23/0.45 inference(skolemize,[status(sab)],[98])).
% 0.23/0.45 tff(100,plain,
% 0.23/0.45 (![V_NA: $i, V_NB: $i, V_B: $i, V_A: $i, V_evs: $i] : (c_in(c_Event_Oevent_OSays(V_B, c_Message_Oagent_OServer, c_Message_Omsg_OMPair(V_NA, c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(V_A), c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(V_B), c_Message_Omsg_OMPair(v_sko__u__1(V_A, V_B, V_NA, V_NB, V_evs), c_Message_Omsg_OCrypt(c_Public_OshrK(V_B), c_Message_Omsg_OMPair(V_NA, c_Message_Omsg_OMPair(V_NB, c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(V_A), c_Message_Omsg_OAgent(V_B)))))))))), c_List_Oset(V_evs, tc_Event_Oevent), tc_Event_Oevent) | c_in(V_B, c_Event_Obad, tc_Message_Oagent) | (~c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(V_B), c_Message_Omsg_OMPair(V_NA, c_Message_Omsg_OMPair(V_NB, c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(V_A), c_Message_Omsg_OAgent(V_B))))), c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy, V_evs)), tc_Message_Omsg)) | (~c_in(V_evs, c_OtwayRees_Ootway, tc_List_Olist(tc_Event_Oevent))))),
% 0.23/0.45 inference(modus_ponens,[status(thm)],[99, 92])).
% 0.23/0.45 tff(101,plain,
% 0.23/0.45 (((~![V_NA: $i, V_NB: $i, V_B: $i, V_A: $i, V_evs: $i] : (c_in(c_Event_Oevent_OSays(V_B, c_Message_Oagent_OServer, c_Message_Omsg_OMPair(V_NA, c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(V_A), c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(V_B), c_Message_Omsg_OMPair(v_sko__u__1(V_A, V_B, V_NA, V_NB, V_evs), c_Message_Omsg_OCrypt(c_Public_OshrK(V_B), c_Message_Omsg_OMPair(V_NA, c_Message_Omsg_OMPair(V_NB, c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(V_A), c_Message_Omsg_OAgent(V_B)))))))))), c_List_Oset(V_evs, tc_Event_Oevent), tc_Event_Oevent) | c_in(V_B, c_Event_Obad, tc_Message_Oagent) | (~c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(V_B), c_Message_Omsg_OMPair(V_NA, c_Message_Omsg_OMPair(V_NB, c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(V_A), c_Message_Omsg_OAgent(V_B))))), c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy, V_evs)), tc_Message_Omsg)) | (~c_in(V_evs, c_OtwayRees_Ootway, tc_List_Olist(tc_Event_Oevent))))) | ((~c_in(v_evs3, c_OtwayRees_Ootway, tc_List_Olist(tc_Event_Oevent))) | c_in(c_Event_Oevent_OSays(v_Ba, c_Message_Oagent_OServer, c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NAa), c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa), c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Ba), c_Message_Omsg_OMPair(v_sko__u__1(v_Aa, v_Ba, c_Message_Omsg_ONonce(v_NAa), c_Message_Omsg_ONonce(v_NBa), v_evs3), c_Message_Omsg_OCrypt(c_Public_OshrK(v_Ba), c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NAa), c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NBa), c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa), c_Message_Omsg_OAgent(v_Ba)))))))))), c_List_Oset(v_evs3, tc_Event_Oevent), tc_Event_Oevent) | c_in(v_Ba, c_Event_Obad, tc_Message_Oagent) | (~c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_Ba), c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NAa), c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NBa), c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa), c_Message_Omsg_OAgent(v_Ba))))), c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy, v_evs3)), tc_Message_Omsg)))) <=> ((~![V_NA: $i, V_NB: $i, V_B: $i, V_A: $i, V_evs: $i] : (c_in(c_Event_Oevent_OSays(V_B, c_Message_Oagent_OServer, c_Message_Omsg_OMPair(V_NA, c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(V_A), c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(V_B), c_Message_Omsg_OMPair(v_sko__u__1(V_A, V_B, V_NA, V_NB, V_evs), c_Message_Omsg_OCrypt(c_Public_OshrK(V_B), c_Message_Omsg_OMPair(V_NA, c_Message_Omsg_OMPair(V_NB, c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(V_A), c_Message_Omsg_OAgent(V_B)))))))))), c_List_Oset(V_evs, tc_Event_Oevent), tc_Event_Oevent) | c_in(V_B, c_Event_Obad, tc_Message_Oagent) | (~c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(V_B), c_Message_Omsg_OMPair(V_NA, c_Message_Omsg_OMPair(V_NB, c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(V_A), c_Message_Omsg_OAgent(V_B))))), c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy, V_evs)), tc_Message_Omsg)) | (~c_in(V_evs, c_OtwayRees_Ootway, tc_List_Olist(tc_Event_Oevent))))) | (~c_in(v_evs3, c_OtwayRees_Ootway, tc_List_Olist(tc_Event_Oevent))) | c_in(c_Event_Oevent_OSays(v_Ba, c_Message_Oagent_OServer, c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NAa), c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa), c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Ba), c_Message_Omsg_OMPair(v_sko__u__1(v_Aa, v_Ba, c_Message_Omsg_ONonce(v_NAa), c_Message_Omsg_ONonce(v_NBa), v_evs3), c_Message_Omsg_OCrypt(c_Public_OshrK(v_Ba), c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NAa), c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NBa), c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa), c_Message_Omsg_OAgent(v_Ba)))))))))), c_List_Oset(v_evs3, tc_Event_Oevent), tc_Event_Oevent) | c_in(v_Ba, c_Event_Obad, tc_Message_Oagent) | (~c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_Ba), c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NAa), c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NBa), c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa), c_Message_Omsg_OAgent(v_Ba))))), c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy, v_evs3)), tc_Message_Omsg)))),
% 0.23/0.45 inference(rewrite,[status(thm)],[])).
% 0.23/0.45 tff(102,plain,
% 0.23/0.45 ((c_in(c_Event_Oevent_OSays(v_Ba, c_Message_Oagent_OServer, c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NAa), c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa), c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Ba), c_Message_Omsg_OMPair(v_sko__u__1(v_Aa, v_Ba, c_Message_Omsg_ONonce(v_NAa), c_Message_Omsg_ONonce(v_NBa), v_evs3), c_Message_Omsg_OCrypt(c_Public_OshrK(v_Ba), c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NAa), c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NBa), c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa), c_Message_Omsg_OAgent(v_Ba)))))))))), c_List_Oset(v_evs3, tc_Event_Oevent), tc_Event_Oevent) | c_in(v_Ba, c_Event_Obad, tc_Message_Oagent) | (~c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_Ba), c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NAa), c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NBa), c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa), c_Message_Omsg_OAgent(v_Ba))))), c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy, v_evs3)), tc_Message_Omsg)) | (~c_in(v_evs3, c_OtwayRees_Ootway, tc_List_Olist(tc_Event_Oevent)))) <=> ((~c_in(v_evs3, c_OtwayRees_Ootway, tc_List_Olist(tc_Event_Oevent))) | c_in(c_Event_Oevent_OSays(v_Ba, c_Message_Oagent_OServer, c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NAa), c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa), c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Ba), c_Message_Omsg_OMPair(v_sko__u__1(v_Aa, v_Ba, c_Message_Omsg_ONonce(v_NAa), c_Message_Omsg_ONonce(v_NBa), v_evs3), c_Message_Omsg_OCrypt(c_Public_OshrK(v_Ba), c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NAa), c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NBa), c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa), c_Message_Omsg_OAgent(v_Ba)))))))))), c_List_Oset(v_evs3, tc_Event_Oevent), tc_Event_Oevent) | c_in(v_Ba, c_Event_Obad, tc_Message_Oagent) | (~c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_Ba), c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NAa), c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NBa), c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa), c_Message_Omsg_OAgent(v_Ba))))), c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy, v_evs3)), tc_Message_Omsg)))),
% 0.23/0.45 inference(rewrite,[status(thm)],[])).
% 0.23/0.45 tff(103,plain,
% 0.23/0.45 (((~![V_NA: $i, V_NB: $i, V_B: $i, V_A: $i, V_evs: $i] : (c_in(c_Event_Oevent_OSays(V_B, c_Message_Oagent_OServer, c_Message_Omsg_OMPair(V_NA, c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(V_A), c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(V_B), c_Message_Omsg_OMPair(v_sko__u__1(V_A, V_B, V_NA, V_NB, V_evs), c_Message_Omsg_OCrypt(c_Public_OshrK(V_B), c_Message_Omsg_OMPair(V_NA, c_Message_Omsg_OMPair(V_NB, c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(V_A), c_Message_Omsg_OAgent(V_B)))))))))), c_List_Oset(V_evs, tc_Event_Oevent), tc_Event_Oevent) | c_in(V_B, c_Event_Obad, tc_Message_Oagent) | (~c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(V_B), c_Message_Omsg_OMPair(V_NA, c_Message_Omsg_OMPair(V_NB, c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(V_A), c_Message_Omsg_OAgent(V_B))))), c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy, V_evs)), tc_Message_Omsg)) | (~c_in(V_evs, c_OtwayRees_Ootway, tc_List_Olist(tc_Event_Oevent))))) | (c_in(c_Event_Oevent_OSays(v_Ba, c_Message_Oagent_OServer, c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NAa), c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa), c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Ba), c_Message_Omsg_OMPair(v_sko__u__1(v_Aa, v_Ba, c_Message_Omsg_ONonce(v_NAa), c_Message_Omsg_ONonce(v_NBa), v_evs3), c_Message_Omsg_OCrypt(c_Public_OshrK(v_Ba), c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NAa), c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NBa), c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa), c_Message_Omsg_OAgent(v_Ba)))))))))), c_List_Oset(v_evs3, tc_Event_Oevent), tc_Event_Oevent) | c_in(v_Ba, c_Event_Obad, tc_Message_Oagent) | (~c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_Ba), c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NAa), c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NBa), c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa), c_Message_Omsg_OAgent(v_Ba))))), c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy, v_evs3)), tc_Message_Omsg)) | (~c_in(v_evs3, c_OtwayRees_Ootway, tc_List_Olist(tc_Event_Oevent))))) <=> ((~![V_NA: $i, V_NB: $i, V_B: $i, V_A: $i, V_evs: $i] : (c_in(c_Event_Oevent_OSays(V_B, c_Message_Oagent_OServer, c_Message_Omsg_OMPair(V_NA, c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(V_A), c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(V_B), c_Message_Omsg_OMPair(v_sko__u__1(V_A, V_B, V_NA, V_NB, V_evs), c_Message_Omsg_OCrypt(c_Public_OshrK(V_B), c_Message_Omsg_OMPair(V_NA, c_Message_Omsg_OMPair(V_NB, c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(V_A), c_Message_Omsg_OAgent(V_B)))))))))), c_List_Oset(V_evs, tc_Event_Oevent), tc_Event_Oevent) | c_in(V_B, c_Event_Obad, tc_Message_Oagent) | (~c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(V_B), c_Message_Omsg_OMPair(V_NA, c_Message_Omsg_OMPair(V_NB, c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(V_A), c_Message_Omsg_OAgent(V_B))))), c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy, V_evs)), tc_Message_Omsg)) | (~c_in(V_evs, c_OtwayRees_Ootway, tc_List_Olist(tc_Event_Oevent))))) | ((~c_in(v_evs3, c_OtwayRees_Ootway, tc_List_Olist(tc_Event_Oevent))) | c_in(c_Event_Oevent_OSays(v_Ba, c_Message_Oagent_OServer, c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NAa), c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa), c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Ba), c_Message_Omsg_OMPair(v_sko__u__1(v_Aa, v_Ba, c_Message_Omsg_ONonce(v_NAa), c_Message_Omsg_ONonce(v_NBa), v_evs3), c_Message_Omsg_OCrypt(c_Public_OshrK(v_Ba), c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NAa), c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NBa), c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa), c_Message_Omsg_OAgent(v_Ba)))))))))), c_List_Oset(v_evs3, tc_Event_Oevent), tc_Event_Oevent) | c_in(v_Ba, c_Event_Obad, tc_Message_Oagent) | (~c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_Ba), c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NAa), c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NBa), c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa), c_Message_Omsg_OAgent(v_Ba))))), c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy, v_evs3)), tc_Message_Omsg))))),
% 0.23/0.45 inference(monotonicity,[status(thm)],[102])).
% 0.23/0.45 tff(104,plain,
% 0.23/0.45 (((~![V_NA: $i, V_NB: $i, V_B: $i, V_A: $i, V_evs: $i] : (c_in(c_Event_Oevent_OSays(V_B, c_Message_Oagent_OServer, c_Message_Omsg_OMPair(V_NA, c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(V_A), c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(V_B), c_Message_Omsg_OMPair(v_sko__u__1(V_A, V_B, V_NA, V_NB, V_evs), c_Message_Omsg_OCrypt(c_Public_OshrK(V_B), c_Message_Omsg_OMPair(V_NA, c_Message_Omsg_OMPair(V_NB, c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(V_A), c_Message_Omsg_OAgent(V_B)))))))))), c_List_Oset(V_evs, tc_Event_Oevent), tc_Event_Oevent) | c_in(V_B, c_Event_Obad, tc_Message_Oagent) | (~c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(V_B), c_Message_Omsg_OMPair(V_NA, c_Message_Omsg_OMPair(V_NB, c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(V_A), c_Message_Omsg_OAgent(V_B))))), c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy, V_evs)), tc_Message_Omsg)) | (~c_in(V_evs, c_OtwayRees_Ootway, tc_List_Olist(tc_Event_Oevent))))) | (c_in(c_Event_Oevent_OSays(v_Ba, c_Message_Oagent_OServer, c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NAa), c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa), c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Ba), c_Message_Omsg_OMPair(v_sko__u__1(v_Aa, v_Ba, c_Message_Omsg_ONonce(v_NAa), c_Message_Omsg_ONonce(v_NBa), v_evs3), c_Message_Omsg_OCrypt(c_Public_OshrK(v_Ba), c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NAa), c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NBa), c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa), c_Message_Omsg_OAgent(v_Ba)))))))))), c_List_Oset(v_evs3, tc_Event_Oevent), tc_Event_Oevent) | c_in(v_Ba, c_Event_Obad, tc_Message_Oagent) | (~c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_Ba), c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NAa), c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NBa), c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa), c_Message_Omsg_OAgent(v_Ba))))), c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy, v_evs3)), tc_Message_Omsg)) | (~c_in(v_evs3, c_OtwayRees_Ootway, tc_List_Olist(tc_Event_Oevent))))) <=> ((~![V_NA: $i, V_NB: $i, V_B: $i, V_A: $i, V_evs: $i] : (c_in(c_Event_Oevent_OSays(V_B, c_Message_Oagent_OServer, c_Message_Omsg_OMPair(V_NA, c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(V_A), c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(V_B), c_Message_Omsg_OMPair(v_sko__u__1(V_A, V_B, V_NA, V_NB, V_evs), c_Message_Omsg_OCrypt(c_Public_OshrK(V_B), c_Message_Omsg_OMPair(V_NA, c_Message_Omsg_OMPair(V_NB, c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(V_A), c_Message_Omsg_OAgent(V_B)))))))))), c_List_Oset(V_evs, tc_Event_Oevent), tc_Event_Oevent) | c_in(V_B, c_Event_Obad, tc_Message_Oagent) | (~c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(V_B), c_Message_Omsg_OMPair(V_NA, c_Message_Omsg_OMPair(V_NB, c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(V_A), c_Message_Omsg_OAgent(V_B))))), c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy, V_evs)), tc_Message_Omsg)) | (~c_in(V_evs, c_OtwayRees_Ootway, tc_List_Olist(tc_Event_Oevent))))) | (~c_in(v_evs3, c_OtwayRees_Ootway, tc_List_Olist(tc_Event_Oevent))) | c_in(c_Event_Oevent_OSays(v_Ba, c_Message_Oagent_OServer, c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NAa), c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa), c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Ba), c_Message_Omsg_OMPair(v_sko__u__1(v_Aa, v_Ba, c_Message_Omsg_ONonce(v_NAa), c_Message_Omsg_ONonce(v_NBa), v_evs3), c_Message_Omsg_OCrypt(c_Public_OshrK(v_Ba), c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NAa), c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NBa), c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa), c_Message_Omsg_OAgent(v_Ba)))))))))), c_List_Oset(v_evs3, tc_Event_Oevent), tc_Event_Oevent) | c_in(v_Ba, c_Event_Obad, tc_Message_Oagent) | (~c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_Ba), c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NAa), c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NBa), c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa), c_Message_Omsg_OAgent(v_Ba))))), c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy, v_evs3)), tc_Message_Omsg)))),
% 0.23/0.46 inference(transitivity,[status(thm)],[103, 101])).
% 0.23/0.46 tff(105,plain,
% 0.23/0.46 ((~![V_NA: $i, V_NB: $i, V_B: $i, V_A: $i, V_evs: $i] : (c_in(c_Event_Oevent_OSays(V_B, c_Message_Oagent_OServer, c_Message_Omsg_OMPair(V_NA, c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(V_A), c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(V_B), c_Message_Omsg_OMPair(v_sko__u__1(V_A, V_B, V_NA, V_NB, V_evs), c_Message_Omsg_OCrypt(c_Public_OshrK(V_B), c_Message_Omsg_OMPair(V_NA, c_Message_Omsg_OMPair(V_NB, c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(V_A), c_Message_Omsg_OAgent(V_B)))))))))), c_List_Oset(V_evs, tc_Event_Oevent), tc_Event_Oevent) | c_in(V_B, c_Event_Obad, tc_Message_Oagent) | (~c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(V_B), c_Message_Omsg_OMPair(V_NA, c_Message_Omsg_OMPair(V_NB, c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(V_A), c_Message_Omsg_OAgent(V_B))))), c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy, V_evs)), tc_Message_Omsg)) | (~c_in(V_evs, c_OtwayRees_Ootway, tc_List_Olist(tc_Event_Oevent))))) | (c_in(c_Event_Oevent_OSays(v_Ba, c_Message_Oagent_OServer, c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NAa), c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa), c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Ba), c_Message_Omsg_OMPair(v_sko__u__1(v_Aa, v_Ba, c_Message_Omsg_ONonce(v_NAa), c_Message_Omsg_ONonce(v_NBa), v_evs3), c_Message_Omsg_OCrypt(c_Public_OshrK(v_Ba), c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NAa), c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NBa), c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa), c_Message_Omsg_OAgent(v_Ba)))))))))), c_List_Oset(v_evs3, tc_Event_Oevent), tc_Event_Oevent) | c_in(v_Ba, c_Event_Obad, tc_Message_Oagent) | (~c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_Ba), c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NAa), c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NBa), c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa), c_Message_Omsg_OAgent(v_Ba))))), c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy, v_evs3)), tc_Message_Omsg)) | (~c_in(v_evs3, c_OtwayRees_Ootway, tc_List_Olist(tc_Event_Oevent))))),
% 0.23/0.46 inference(quant_inst,[status(thm)],[])).
% 0.23/0.46 tff(106,plain,
% 0.23/0.46 ((~![V_NA: $i, V_NB: $i, V_B: $i, V_A: $i, V_evs: $i] : (c_in(c_Event_Oevent_OSays(V_B, c_Message_Oagent_OServer, c_Message_Omsg_OMPair(V_NA, c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(V_A), c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(V_B), c_Message_Omsg_OMPair(v_sko__u__1(V_A, V_B, V_NA, V_NB, V_evs), c_Message_Omsg_OCrypt(c_Public_OshrK(V_B), c_Message_Omsg_OMPair(V_NA, c_Message_Omsg_OMPair(V_NB, c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(V_A), c_Message_Omsg_OAgent(V_B)))))))))), c_List_Oset(V_evs, tc_Event_Oevent), tc_Event_Oevent) | c_in(V_B, c_Event_Obad, tc_Message_Oagent) | (~c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(V_B), c_Message_Omsg_OMPair(V_NA, c_Message_Omsg_OMPair(V_NB, c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(V_A), c_Message_Omsg_OAgent(V_B))))), c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy, V_evs)), tc_Message_Omsg)) | (~c_in(V_evs, c_OtwayRees_Ootway, tc_List_Olist(tc_Event_Oevent))))) | (~c_in(v_evs3, c_OtwayRees_Ootway, tc_List_Olist(tc_Event_Oevent))) | c_in(c_Event_Oevent_OSays(v_Ba, c_Message_Oagent_OServer, c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NAa), c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa), c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Ba), c_Message_Omsg_OMPair(v_sko__u__1(v_Aa, v_Ba, c_Message_Omsg_ONonce(v_NAa), c_Message_Omsg_ONonce(v_NBa), v_evs3), c_Message_Omsg_OCrypt(c_Public_OshrK(v_Ba), c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NAa), c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NBa), c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa), c_Message_Omsg_OAgent(v_Ba)))))))))), c_List_Oset(v_evs3, tc_Event_Oevent), tc_Event_Oevent) | c_in(v_Ba, c_Event_Obad, tc_Message_Oagent) | (~c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_Ba), c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NAa), c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NBa), c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa), c_Message_Omsg_OAgent(v_Ba))))), c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy, v_evs3)), tc_Message_Omsg))),
% 0.23/0.46 inference(modus_ponens,[status(thm)],[105, 104])).
% 0.23/0.46 tff(107,plain,
% 0.23/0.46 (c_in(v_Ba, c_Event_Obad, tc_Message_Oagent)),
% 0.23/0.46 inference(unit_resolution,[status(thm)],[106, 100, 28, 90, 22])).
% 0.23/0.46 tff(108,plain,
% 0.23/0.46 ($false),
% 0.23/0.46 inference(unit_resolution,[status(thm)],[107, 11])).
% 0.23/0.46 % SZS output end Proof
% 0.23/0.46 % E exiting
%------------------------------------------------------------------------------