%------------------------------------------------------------------------------
% File     : Z3---4.8.9.0
% Problem  : SWV296-2 : TPTP v8.1.0. Released v3.2.0.
% Transfm  : none
% Format   : tptp
% Command  : z3_tptp -proof -model -t:%d -file:%s

% Computer : n005.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Thu Sep 29 15:10:56 EDT 2022

% Result   : Unsatisfiable 0.73s 0.70s
% Output   : Proof 0.81s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12  % Problem  : SWV296-2 : TPTP v8.1.0. Released v3.2.0.
% 0.06/0.13  % Command  : z3_tptp -proof -model -t:%d -file:%s
% 0.14/0.34  % Computer : n005.cluster.edu
% 0.14/0.34  % Model    : x86_64 x86_64
% 0.14/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34  % Memory   : 8042.1875MB
% 0.14/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34  % CPULimit : 300
% 0.14/0.34  % WCLimit  : 300
% 0.14/0.34  % DateTime : Sun Sep  4 02:14:18 EDT 2022
% 0.14/0.34  % CPUTime  : 
% 0.14/0.34  Z3tptp [4.8.9.0] (c) 2006-20**. Microsoft Corp.
% 0.14/0.34  Usage: tptp [options] [-file:]file
% 0.14/0.34    -h, -?       prints this message.
% 0.14/0.34    -smt2        print SMT-LIB2 benchmark.
% 0.14/0.34    -m, -model   generate model.
% 0.14/0.34    -p, -proof   generate proof.
% 0.14/0.34    -c, -core    generate unsat core of named formulas.
% 0.14/0.34    -st, -statistics display statistics.
% 0.14/0.34    -t:timeout   set timeout (in second).
% 0.14/0.34    -smt2status  display status in smt2 format instead of SZS.
% 0.14/0.34    -check_status check the status produced by Z3 against annotation in benchmark.
% 0.14/0.34    -<param>:<value> configuration parameter and value.
% 0.14/0.34    -o:<output-file> file to place output in.
% 0.73/0.70  % SZS status Unsatisfiable
% 0.73/0.70  % SZS output start Proof
% 0.73/0.70  tff(c_in_type, type, (
% 0.73/0.70     c_in: ( $i * $i * $i ) > $o)).
% 0.73/0.70  tff(tc_Message_Omsg_type, type, (
% 0.73/0.70     tc_Message_Omsg: $i)).
% 0.73/0.70  tff(c_Event_Oused_type, type, (
% 0.73/0.70     c_Event_Oused: $i > $i)).
% 0.73/0.70  tff(v_evs3_type, type, (
% 0.73/0.70     v_evs3: $i)).
% 0.73/0.70  tff(c_Message_Omsg_OMPair_type, type, (
% 0.73/0.70     c_Message_Omsg_OMPair: ( $i * $i ) > $i)).
% 0.73/0.70  tff(c_Message_Omsg_OKey_type, type, (
% 0.73/0.70     c_Message_Omsg_OKey: $i > $i)).
% 0.73/0.70  tff(v_KAB_type, type, (
% 0.73/0.70     v_KAB: $i)).
% 0.73/0.70  tff(v_NA_type, type, (
% 0.73/0.70     v_NA: $i)).
% 0.73/0.70  tff(v_K_type, type, (
% 0.73/0.70     v_K: $i)).
% 0.73/0.70  tff(tc_Event_Oevent_type, type, (
% 0.73/0.70     tc_Event_Oevent: $i)).
% 0.73/0.70  tff(c_List_Oset_type, type, (
% 0.73/0.70     c_List_Oset: ( $i * $i ) > $i)).
% 0.73/0.70  tff(c_Event_Oevent_OSays_type, type, (
% 0.73/0.70     c_Event_Oevent_OSays: ( $i * $i * $i ) > $i)).
% 0.73/0.70  tff(c_Message_Omsg_OCrypt_type, type, (
% 0.73/0.70     c_Message_Omsg_OCrypt: ( $i * $i ) > $i)).
% 0.73/0.70  tff(c_Public_OshrK_type, type, (
% 0.73/0.70     c_Public_OshrK: $i > $i)).
% 0.73/0.70  tff(v_B_type, type, (
% 0.73/0.70     v_B: $i)).
% 0.73/0.70  tff(v_A_type, type, (
% 0.73/0.70     v_A: $i)).
% 0.73/0.70  tff(c_Message_Oagent_OServer_type, type, (
% 0.73/0.70     c_Message_Oagent_OServer: $i)).
% 0.73/0.70  tff(v_x_type, type, (
% 0.73/0.70     v_x: $i)).
% 0.73/0.70  tff(c_Message_Oparts_type, type, (
% 0.73/0.70     c_Message_Oparts: $i > $i)).
% 0.73/0.70  tff(c_Event_Oknows_type, type, (
% 0.73/0.70     c_Event_Oknows: ( $i * $i ) > $i)).
% 0.73/0.70  tff(c_Message_Oagent_OSpy_type, type, (
% 0.73/0.70     c_Message_Oagent_OSpy: $i)).
% 0.73/0.70  tff(c_Message_Omsg_OAgent_type, type, (
% 0.73/0.70     c_Message_Omsg_OAgent: $i > $i)).
% 0.73/0.70  tff(v_Ba_type, type, (
% 0.73/0.70     v_Ba: $i)).
% 0.73/0.70  tff(c_Message_Omsg_ONonce_type, type, (
% 0.73/0.70     c_Message_Omsg_ONonce: $i > $i)).
% 0.73/0.70  tff(v_NAa_type, type, (
% 0.73/0.70     v_NAa: $i)).
% 0.73/0.70  tff(tc_Message_Oagent_type, type, (
% 0.73/0.70     tc_Message_Oagent: $i)).
% 0.73/0.70  tff(c_Event_Obad_type, type, (
% 0.73/0.70     c_Event_Obad: $i)).
% 0.73/0.70  tff(v_Aa_type, type, (
% 0.73/0.70     v_Aa: $i)).
% 0.73/0.70  tff(c_Message_Oanalz_type, type, (
% 0.73/0.70     c_Message_Oanalz: $i > $i)).
% 0.73/0.70  tff(v_NB_type, type, (
% 0.73/0.70     v_NB: $i)).
% 0.73/0.70  tff(v_sko__usf_type, type, (
% 0.73/0.70     v_sko__usf: ( $i * $i * $i ) > $i)).
% 0.73/0.70  tff(c_Event_Oevent_OGets_type, type, (
% 0.73/0.70     c_Event_Oevent_OGets: ( $i * $i ) > $i)).
% 0.73/0.70  tff(tc_List_Olist_type, type, (
% 0.73/0.70     tc_List_Olist: $i > $i)).
% 0.73/0.70  tff(c_OtwayRees_Ootway_type, type, (
% 0.73/0.70     c_OtwayRees_Ootway: $i)).
% 0.73/0.70  tff(1,plain,
% 0.73/0.70      (^[V_BK: $i] : refl(((~c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer, v_B, c_Message_Omsg_OMPair(v_NA, c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(v_A), c_Message_Omsg_OMPair(v_NA, c_Message_Omsg_OKey(v_K))), c_Message_Omsg_OCrypt(c_Public_OshrK(v_B), c_Message_Omsg_OMPair(V_BK, c_Message_Omsg_OKey(v_K)))))), c_List_Oset(v_evs3, tc_Event_Oevent), tc_Event_Oevent)) | (v_K = v_KAB)) <=> ((~c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer, v_B, c_Message_Omsg_OMPair(v_NA, c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(v_A), c_Message_Omsg_OMPair(v_NA, c_Message_Omsg_OKey(v_K))), c_Message_Omsg_OCrypt(c_Public_OshrK(v_B), c_Message_Omsg_OMPair(V_BK, c_Message_Omsg_OKey(v_K)))))), c_List_Oset(v_evs3, tc_Event_Oevent), tc_Event_Oevent)) | (v_K = v_KAB)))),
% 0.73/0.70      inference(bind,[status(th)],[])).
% 0.73/0.70  tff(2,plain,
% 0.73/0.70      (![V_BK: $i] : ((~c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer, v_B, c_Message_Omsg_OMPair(v_NA, c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(v_A), c_Message_Omsg_OMPair(v_NA, c_Message_Omsg_OKey(v_K))), c_Message_Omsg_OCrypt(c_Public_OshrK(v_B), c_Message_Omsg_OMPair(V_BK, c_Message_Omsg_OKey(v_K)))))), c_List_Oset(v_evs3, tc_Event_Oevent), tc_Event_Oevent)) | (v_K = v_KAB)) <=> ![V_BK: $i] : ((~c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer, v_B, c_Message_Omsg_OMPair(v_NA, c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(v_A), c_Message_Omsg_OMPair(v_NA, c_Message_Omsg_OKey(v_K))), c_Message_Omsg_OCrypt(c_Public_OshrK(v_B), c_Message_Omsg_OMPair(V_BK, c_Message_Omsg_OKey(v_K)))))), c_List_Oset(v_evs3, tc_Event_Oevent), tc_Event_Oevent)) | (v_K = v_KAB))),
% 0.73/0.70      inference(quant_intro,[status(thm)],[1])).
% 0.73/0.70  tff(3,plain,
% 0.73/0.70      (![V_BK: $i] : ((~c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer, v_B, c_Message_Omsg_OMPair(v_NA, c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(v_A), c_Message_Omsg_OMPair(v_NA, c_Message_Omsg_OKey(v_K))), c_Message_Omsg_OCrypt(c_Public_OshrK(v_B), c_Message_Omsg_OMPair(V_BK, c_Message_Omsg_OKey(v_K)))))), c_List_Oset(v_evs3, tc_Event_Oevent), tc_Event_Oevent)) | (v_K = v_KAB)) <=> ![V_BK: $i] : ((~c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer, v_B, c_Message_Omsg_OMPair(v_NA, c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(v_A), c_Message_Omsg_OMPair(v_NA, c_Message_Omsg_OKey(v_K))), c_Message_Omsg_OCrypt(c_Public_OshrK(v_B), c_Message_Omsg_OMPair(V_BK, c_Message_Omsg_OKey(v_K)))))), c_List_Oset(v_evs3, tc_Event_Oevent), tc_Event_Oevent)) | (v_K = v_KAB))),
% 0.73/0.70      inference(rewrite,[status(thm)],[])).
% 0.73/0.70  tff(4,axiom,(![V_BK: $i] : ((~c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer, v_B, c_Message_Omsg_OMPair(v_NA, c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(v_A), c_Message_Omsg_OMPair(v_NA, c_Message_Omsg_OKey(v_K))), c_Message_Omsg_OCrypt(c_Public_OshrK(v_B), c_Message_Omsg_OMPair(V_BK, c_Message_Omsg_OKey(v_K)))))), c_List_Oset(v_evs3, tc_Event_Oevent), tc_Event_Oevent)) | (v_K = v_KAB))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','cls_conjecture_6')).
% 0.73/0.70  tff(5,plain,
% 0.73/0.70      (![V_BK: $i] : ((~c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer, v_B, c_Message_Omsg_OMPair(v_NA, c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(v_A), c_Message_Omsg_OMPair(v_NA, c_Message_Omsg_OKey(v_K))), c_Message_Omsg_OCrypt(c_Public_OshrK(v_B), c_Message_Omsg_OMPair(V_BK, c_Message_Omsg_OKey(v_K)))))), c_List_Oset(v_evs3, tc_Event_Oevent), tc_Event_Oevent)) | (v_K = v_KAB))),
% 0.73/0.70      inference(modus_ponens,[status(thm)],[4, 3])).
% 0.73/0.70  tff(6,plain,(
% 0.73/0.70      ![V_BK: $i] : ((~c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer, v_B, c_Message_Omsg_OMPair(v_NA, c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(v_A), c_Message_Omsg_OMPair(v_NA, c_Message_Omsg_OKey(v_K))), c_Message_Omsg_OCrypt(c_Public_OshrK(v_B), c_Message_Omsg_OMPair(V_BK, c_Message_Omsg_OKey(v_K)))))), c_List_Oset(v_evs3, tc_Event_Oevent), tc_Event_Oevent)) | (v_K = v_KAB))),
% 0.73/0.70      inference(skolemize,[status(sab)],[5])).
% 0.73/0.70  tff(7,plain,
% 0.73/0.70      (![V_BK: $i] : ((~c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer, v_B, c_Message_Omsg_OMPair(v_NA, c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(v_A), c_Message_Omsg_OMPair(v_NA, c_Message_Omsg_OKey(v_K))), c_Message_Omsg_OCrypt(c_Public_OshrK(v_B), c_Message_Omsg_OMPair(V_BK, c_Message_Omsg_OKey(v_K)))))), c_List_Oset(v_evs3, tc_Event_Oevent), tc_Event_Oevent)) | (v_K = v_KAB))),
% 0.73/0.70      inference(modus_ponens,[status(thm)],[6, 2])).
% 0.73/0.70  tff(8,assumption,(~(v_K = v_KAB)), introduced(assumption)).
% 0.73/0.70  tff(9,plain,
% 0.73/0.70      ((c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_A), c_Message_Omsg_OMPair(v_NA, c_Message_Omsg_OKey(v_K))), c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy, v_evs3)), tc_Message_Omsg) | (v_K = v_KAB)) <=> (c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_A), c_Message_Omsg_OMPair(v_NA, c_Message_Omsg_OKey(v_K))), c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy, v_evs3)), tc_Message_Omsg) | (v_K = v_KAB))),
% 0.73/0.70      inference(rewrite,[status(thm)],[])).
% 0.73/0.70  tff(10,axiom,(c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_A), c_Message_Omsg_OMPair(v_NA, c_Message_Omsg_OKey(v_K))), c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy, v_evs3)), tc_Message_Omsg) | (v_K = v_KAB)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','cls_conjecture_5')).
% 0.73/0.70  tff(11,plain,
% 0.73/0.70      (c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_A), c_Message_Omsg_OMPair(v_NA, c_Message_Omsg_OKey(v_K))), c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy, v_evs3)), tc_Message_Omsg) | (v_K = v_KAB)),
% 0.73/0.70      inference(modus_ponens,[status(thm)],[10, 9])).
% 0.73/0.70  tff(12,plain,
% 0.73/0.70      (c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_A), c_Message_Omsg_OMPair(v_NA, c_Message_Omsg_OKey(v_K))), c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy, v_evs3)), tc_Message_Omsg) | (v_K = v_KAB)),
% 0.73/0.70      inference(modus_ponens,[status(thm)],[11, 9])).
% 0.73/0.70  tff(13,plain,
% 0.73/0.70      (c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_A), c_Message_Omsg_OMPair(v_NA, c_Message_Omsg_OKey(v_K))), c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy, v_evs3)), tc_Message_Omsg) | (v_K = v_KAB)),
% 0.73/0.70      inference(modus_ponens,[status(thm)],[12, 9])).
% 0.73/0.70  tff(14,plain,
% 0.73/0.70      (c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_A), c_Message_Omsg_OMPair(v_NA, c_Message_Omsg_OKey(v_K))), c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy, v_evs3)), tc_Message_Omsg) | (v_K = v_KAB)),
% 0.73/0.70      inference(modus_ponens,[status(thm)],[13, 9])).
% 0.73/0.70  tff(15,plain,
% 0.73/0.70      (c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_A), c_Message_Omsg_OMPair(v_NA, c_Message_Omsg_OKey(v_K))), c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy, v_evs3)), tc_Message_Omsg) | (v_K = v_KAB)),
% 0.73/0.70      inference(modus_ponens,[status(thm)],[14, 9])).
% 0.73/0.70  tff(16,plain,
% 0.73/0.70      (c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_A), c_Message_Omsg_OMPair(v_NA, c_Message_Omsg_OKey(v_K))), c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy, v_evs3)), tc_Message_Omsg) | (v_K = v_KAB)),
% 0.73/0.70      inference(modus_ponens,[status(thm)],[15, 9])).
% 0.73/0.70  tff(17,plain,
% 0.73/0.70      (c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_A), c_Message_Omsg_OMPair(v_NA, c_Message_Omsg_OKey(v_K))), c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy, v_evs3)), tc_Message_Omsg) | (v_K = v_KAB)),
% 0.73/0.70      inference(modus_ponens,[status(thm)],[16, 9])).
% 0.73/0.70  tff(18,plain,
% 0.73/0.70      (c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_A), c_Message_Omsg_OMPair(v_NA, c_Message_Omsg_OKey(v_K))), c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy, v_evs3)), tc_Message_Omsg) | (v_K = v_KAB)),
% 0.73/0.70      inference(modus_ponens,[status(thm)],[17, 9])).
% 0.73/0.70  tff(19,plain,
% 0.73/0.70      (c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_A), c_Message_Omsg_OMPair(v_NA, c_Message_Omsg_OKey(v_K))), c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy, v_evs3)), tc_Message_Omsg) | (v_K = v_KAB)),
% 0.73/0.70      inference(modus_ponens,[status(thm)],[18, 9])).
% 0.73/0.70  tff(20,plain,
% 0.73/0.70      (c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_A), c_Message_Omsg_OMPair(v_NA, c_Message_Omsg_OKey(v_K))), c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy, v_evs3)), tc_Message_Omsg)),
% 0.73/0.70      inference(unit_resolution,[status(thm)],[19, 8])).
% 0.73/0.70  tff(21,plain,
% 0.73/0.70      ((c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer, v_B, c_Message_Omsg_OMPair(v_NA, c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(v_A), c_Message_Omsg_OMPair(v_NA, c_Message_Omsg_OKey(v_K))), c_Message_Omsg_OCrypt(c_Public_OshrK(v_B), c_Message_Omsg_OMPair(v_x, c_Message_Omsg_OKey(v_K)))))), c_List_Oset(v_evs3, tc_Event_Oevent), tc_Event_Oevent) | (~c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_A), c_Message_Omsg_OMPair(v_NA, c_Message_Omsg_OKey(v_K))), c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy, v_evs3)), tc_Message_Omsg))) <=> (c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer, v_B, c_Message_Omsg_OMPair(v_NA, c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(v_A), c_Message_Omsg_OMPair(v_NA, c_Message_Omsg_OKey(v_K))), c_Message_Omsg_OCrypt(c_Public_OshrK(v_B), c_Message_Omsg_OMPair(v_x, c_Message_Omsg_OKey(v_K)))))), c_List_Oset(v_evs3, tc_Event_Oevent), tc_Event_Oevent) | (~c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_A), c_Message_Omsg_OMPair(v_NA, c_Message_Omsg_OKey(v_K))), c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy, v_evs3)), tc_Message_Omsg)))),
% 0.73/0.70      inference(rewrite,[status(thm)],[])).
% 0.73/0.70  tff(22,plain,
% 0.73/0.70      ((c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer, v_B, c_Message_Omsg_OMPair(v_NA, c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(v_A), c_Message_Omsg_OMPair(v_NA, c_Message_Omsg_OKey(v_K))), c_Message_Omsg_OCrypt(c_Public_OshrK(v_B), c_Message_Omsg_OMPair(v_x, c_Message_Omsg_OKey(v_K)))))), c_List_Oset(v_evs3, tc_Event_Oevent), tc_Event_Oevent) | (~c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_A), c_Message_Omsg_OMPair(v_NA, c_Message_Omsg_OKey(v_K))), c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy, v_evs3)), tc_Message_Omsg)) | $false) <=> (c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer, v_B, c_Message_Omsg_OMPair(v_NA, c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(v_A), c_Message_Omsg_OMPair(v_NA, c_Message_Omsg_OKey(v_K))), c_Message_Omsg_OCrypt(c_Public_OshrK(v_B), c_Message_Omsg_OMPair(v_x, c_Message_Omsg_OKey(v_K)))))), c_List_Oset(v_evs3, tc_Event_Oevent), tc_Event_Oevent) | (~c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_A), c_Message_Omsg_OMPair(v_NA, c_Message_Omsg_OKey(v_K))), c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy, v_evs3)), tc_Message_Omsg)))),
% 0.73/0.71      inference(rewrite,[status(thm)],[])).
% 0.73/0.71  tff(23,plain,
% 0.73/0.71      ((~$true) <=> $false),
% 0.73/0.71      inference(rewrite,[status(thm)],[])).
% 0.73/0.71  tff(24,axiom,(c_in(c_Event_Oevent_OSays(v_A, v_B, 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_OCrypt(c_Public_OshrK(v_A), c_Message_Omsg_OMPair(v_NA, c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A), c_Message_Omsg_OAgent(v_B)))))))), c_List_Oset(v_evs3, tc_Event_Oevent), tc_Event_Oevent)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','cls_conjecture_4')).
% 0.73/0.71  tff(25,plain,
% 0.73/0.71      (c_in(c_Event_Oevent_OSays(v_A, v_B, 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_OCrypt(c_Public_OshrK(v_A), c_Message_Omsg_OMPair(v_NA, c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A), c_Message_Omsg_OAgent(v_B)))))))), c_List_Oset(v_evs3, tc_Event_Oevent), tc_Event_Oevent) <=> $true),
% 0.73/0.71      inference(iff_true,[status(thm)],[24])).
% 0.73/0.71  tff(26,plain,
% 0.73/0.71      ((~c_in(c_Event_Oevent_OSays(v_A, v_B, c_Message_Omsg_OMPair(v_NA, c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A), c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_B), c_Message_Omsg_OCrypt(c_Public_OshrK(v_A), c_Message_Omsg_OMPair(v_NA, c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A), c_Message_Omsg_OAgent(v_B)))))))), c_List_Oset(v_evs3, tc_Event_Oevent), tc_Event_Oevent)) <=> (~$true)),
% 0.73/0.71      inference(monotonicity,[status(thm)],[25])).
% 0.73/0.71  tff(27,plain,
% 0.73/0.71      ((~c_in(c_Event_Oevent_OSays(v_A, v_B, 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_OCrypt(c_Public_OshrK(v_A), c_Message_Omsg_OMPair(v_NA, c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A), c_Message_Omsg_OAgent(v_B)))))))), c_List_Oset(v_evs3, tc_Event_Oevent), tc_Event_Oevent)) <=> $false),
% 0.73/0.71      inference(transitivity,[status(thm)],[26, 23])).
% 0.73/0.71  tff(28,plain,
% 0.73/0.71      ((c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer, v_B, c_Message_Omsg_OMPair(v_NA, c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(v_A), c_Message_Omsg_OMPair(v_NA, c_Message_Omsg_OKey(v_K))), c_Message_Omsg_OCrypt(c_Public_OshrK(v_B), c_Message_Omsg_OMPair(v_x, c_Message_Omsg_OKey(v_K)))))), c_List_Oset(v_evs3, tc_Event_Oevent), tc_Event_Oevent) | (~c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_A), c_Message_Omsg_OMPair(v_NA, c_Message_Omsg_OKey(v_K))), c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy, v_evs3)), tc_Message_Omsg)) | (~c_in(c_Event_Oevent_OSays(v_A, v_B, 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_OCrypt(c_Public_OshrK(v_A), c_Message_Omsg_OMPair(v_NA, c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A), c_Message_Omsg_OAgent(v_B)))))))), c_List_Oset(v_evs3, tc_Event_Oevent), tc_Event_Oevent))) <=> (c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer, v_B, c_Message_Omsg_OMPair(v_NA, c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(v_A), c_Message_Omsg_OMPair(v_NA, c_Message_Omsg_OKey(v_K))), c_Message_Omsg_OCrypt(c_Public_OshrK(v_B), c_Message_Omsg_OMPair(v_x, c_Message_Omsg_OKey(v_K)))))), c_List_Oset(v_evs3, tc_Event_Oevent), tc_Event_Oevent) | (~c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_A), c_Message_Omsg_OMPair(v_NA, c_Message_Omsg_OKey(v_K))), c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy, v_evs3)), tc_Message_Omsg)) | $false)),
% 0.73/0.71      inference(monotonicity,[status(thm)],[27])).
% 0.73/0.71  tff(29,plain,
% 0.73/0.71      ((c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer, v_B, c_Message_Omsg_OMPair(v_NA, c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(v_A), c_Message_Omsg_OMPair(v_NA, c_Message_Omsg_OKey(v_K))), c_Message_Omsg_OCrypt(c_Public_OshrK(v_B), c_Message_Omsg_OMPair(v_x, c_Message_Omsg_OKey(v_K)))))), c_List_Oset(v_evs3, tc_Event_Oevent), tc_Event_Oevent) | (~c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_A), c_Message_Omsg_OMPair(v_NA, c_Message_Omsg_OKey(v_K))), c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy, v_evs3)), tc_Message_Omsg)) | (~c_in(c_Event_Oevent_OSays(v_A, v_B, 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_OCrypt(c_Public_OshrK(v_A), c_Message_Omsg_OMPair(v_NA, c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A), c_Message_Omsg_OAgent(v_B)))))))), c_List_Oset(v_evs3, tc_Event_Oevent), tc_Event_Oevent))) <=> (c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer, v_B, c_Message_Omsg_OMPair(v_NA, c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(v_A), c_Message_Omsg_OMPair(v_NA, c_Message_Omsg_OKey(v_K))), c_Message_Omsg_OCrypt(c_Public_OshrK(v_B), c_Message_Omsg_OMPair(v_x, c_Message_Omsg_OKey(v_K)))))), c_List_Oset(v_evs3, tc_Event_Oevent), tc_Event_Oevent) | (~c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_A), c_Message_Omsg_OMPair(v_NA, c_Message_Omsg_OKey(v_K))), c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy, v_evs3)), tc_Message_Omsg)))),
% 0.73/0.71      inference(transitivity,[status(thm)],[28, 22])).
% 0.73/0.71  tff(30,plain,
% 0.73/0.71      ((c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer, v_B, c_Message_Omsg_OMPair(v_NA, c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(v_A), c_Message_Omsg_OMPair(v_NA, c_Message_Omsg_OKey(v_K))), c_Message_Omsg_OCrypt(c_Public_OshrK(v_B), c_Message_Omsg_OMPair(v_x, c_Message_Omsg_OKey(v_K)))))), c_List_Oset(v_evs3, tc_Event_Oevent), tc_Event_Oevent) | (~c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_A), c_Message_Omsg_OMPair(v_NA, c_Message_Omsg_OKey(v_K))), c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy, v_evs3)), tc_Message_Omsg)) | (~c_in(c_Event_Oevent_OSays(v_A, v_B, 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_OCrypt(c_Public_OshrK(v_A), c_Message_Omsg_OMPair(v_NA, c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A), c_Message_Omsg_OAgent(v_B)))))))), c_List_Oset(v_evs3, tc_Event_Oevent), tc_Event_Oevent))) <=> (c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer, v_B, c_Message_Omsg_OMPair(v_NA, c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(v_A), c_Message_Omsg_OMPair(v_NA, c_Message_Omsg_OKey(v_K))), c_Message_Omsg_OCrypt(c_Public_OshrK(v_B), c_Message_Omsg_OMPair(v_x, c_Message_Omsg_OKey(v_K)))))), c_List_Oset(v_evs3, tc_Event_Oevent), tc_Event_Oevent) | (~c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_A), c_Message_Omsg_OMPair(v_NA, c_Message_Omsg_OKey(v_K))), c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy, v_evs3)), tc_Message_Omsg)) | (~c_in(c_Event_Oevent_OSays(v_A, v_B, 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_OCrypt(c_Public_OshrK(v_A), c_Message_Omsg_OMPair(v_NA, c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A), c_Message_Omsg_OAgent(v_B)))))))), c_List_Oset(v_evs3, tc_Event_Oevent), tc_Event_Oevent)))),
% 0.73/0.71      inference(rewrite,[status(thm)],[])).
% 0.73/0.71  tff(31,plain,
% 0.73/0.71      (((c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer, v_B, c_Message_Omsg_OMPair(v_NA, c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(v_A), c_Message_Omsg_OMPair(v_NA, c_Message_Omsg_OKey(v_K))), c_Message_Omsg_OCrypt(c_Public_OshrK(v_B), c_Message_Omsg_OMPair(v_x, c_Message_Omsg_OKey(v_K)))))), c_List_Oset(v_evs3, tc_Event_Oevent), tc_Event_Oevent) | (~c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_A), c_Message_Omsg_OMPair(v_NA, c_Message_Omsg_OKey(v_K))), c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy, v_evs3)), tc_Message_Omsg))) | (~c_in(c_Event_Oevent_OSays(v_A, v_B, 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_OCrypt(c_Public_OshrK(v_A), c_Message_Omsg_OMPair(v_NA, c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A), c_Message_Omsg_OAgent(v_B)))))))), c_List_Oset(v_evs3, tc_Event_Oevent), tc_Event_Oevent))) <=> (c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer, v_B, c_Message_Omsg_OMPair(v_NA, c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(v_A), c_Message_Omsg_OMPair(v_NA, c_Message_Omsg_OKey(v_K))), c_Message_Omsg_OCrypt(c_Public_OshrK(v_B), c_Message_Omsg_OMPair(v_x, c_Message_Omsg_OKey(v_K)))))), c_List_Oset(v_evs3, tc_Event_Oevent), tc_Event_Oevent) | (~c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_A), c_Message_Omsg_OMPair(v_NA, c_Message_Omsg_OKey(v_K))), c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy, v_evs3)), tc_Message_Omsg)) | (~c_in(c_Event_Oevent_OSays(v_A, v_B, 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_OCrypt(c_Public_OshrK(v_A), c_Message_Omsg_OMPair(v_NA, c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A), c_Message_Omsg_OAgent(v_B)))))))), c_List_Oset(v_evs3, tc_Event_Oevent), tc_Event_Oevent)))),
% 0.73/0.71      inference(rewrite,[status(thm)],[])).
% 0.73/0.71  tff(32,plain,
% 0.73/0.71      (((c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer, v_B, c_Message_Omsg_OMPair(v_NA, c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(v_A), c_Message_Omsg_OMPair(v_NA, c_Message_Omsg_OKey(v_K))), c_Message_Omsg_OCrypt(c_Public_OshrK(v_B), c_Message_Omsg_OMPair(v_x, c_Message_Omsg_OKey(v_K)))))), c_List_Oset(v_evs3, tc_Event_Oevent), tc_Event_Oevent) | (~c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_A), c_Message_Omsg_OMPair(v_NA, c_Message_Omsg_OKey(v_K))), c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy, v_evs3)), tc_Message_Omsg))) | (~c_in(c_Event_Oevent_OSays(v_A, v_B, 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_OCrypt(c_Public_OshrK(v_A), c_Message_Omsg_OMPair(v_NA, c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A), c_Message_Omsg_OAgent(v_B)))))))), c_List_Oset(v_evs3, tc_Event_Oevent), tc_Event_Oevent))) <=> ((c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer, v_B, c_Message_Omsg_OMPair(v_NA, c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(v_A), c_Message_Omsg_OMPair(v_NA, c_Message_Omsg_OKey(v_K))), c_Message_Omsg_OCrypt(c_Public_OshrK(v_B), c_Message_Omsg_OMPair(v_x, c_Message_Omsg_OKey(v_K)))))), c_List_Oset(v_evs3, tc_Event_Oevent), tc_Event_Oevent) | (~c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_A), c_Message_Omsg_OMPair(v_NA, c_Message_Omsg_OKey(v_K))), c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy, v_evs3)), tc_Message_Omsg))) | (~c_in(c_Event_Oevent_OSays(v_A, v_B, 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_OCrypt(c_Public_OshrK(v_A), c_Message_Omsg_OMPair(v_NA, c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A), c_Message_Omsg_OAgent(v_B)))))))), c_List_Oset(v_evs3, tc_Event_Oevent), tc_Event_Oevent)))),
% 0.73/0.71      inference(monotonicity,[status(thm)],[21])).
% 0.73/0.71  tff(33,plain,
% 0.73/0.71      (((c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer, v_B, c_Message_Omsg_OMPair(v_NA, c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(v_A), c_Message_Omsg_OMPair(v_NA, c_Message_Omsg_OKey(v_K))), c_Message_Omsg_OCrypt(c_Public_OshrK(v_B), c_Message_Omsg_OMPair(v_x, c_Message_Omsg_OKey(v_K)))))), c_List_Oset(v_evs3, tc_Event_Oevent), tc_Event_Oevent) | (~c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_A), c_Message_Omsg_OMPair(v_NA, c_Message_Omsg_OKey(v_K))), c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy, v_evs3)), tc_Message_Omsg))) | (~c_in(c_Event_Oevent_OSays(v_A, v_B, 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_OCrypt(c_Public_OshrK(v_A), c_Message_Omsg_OMPair(v_NA, c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A), c_Message_Omsg_OAgent(v_B)))))))), c_List_Oset(v_evs3, tc_Event_Oevent), tc_Event_Oevent))) <=> (c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer, v_B, c_Message_Omsg_OMPair(v_NA, c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(v_A), c_Message_Omsg_OMPair(v_NA, c_Message_Omsg_OKey(v_K))), c_Message_Omsg_OCrypt(c_Public_OshrK(v_B), c_Message_Omsg_OMPair(v_x, c_Message_Omsg_OKey(v_K)))))), c_List_Oset(v_evs3, tc_Event_Oevent), tc_Event_Oevent) | (~c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_A), c_Message_Omsg_OMPair(v_NA, c_Message_Omsg_OKey(v_K))), c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy, v_evs3)), tc_Message_Omsg)) | (~c_in(c_Event_Oevent_OSays(v_A, v_B, 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_OCrypt(c_Public_OshrK(v_A), c_Message_Omsg_OMPair(v_NA, c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A), c_Message_Omsg_OAgent(v_B)))))))), c_List_Oset(v_evs3, tc_Event_Oevent), tc_Event_Oevent)))),
% 0.73/0.71      inference(transitivity,[status(thm)],[32, 31])).
% 0.73/0.71  tff(34,axiom,((c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer, v_B, c_Message_Omsg_OMPair(v_NA, c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(v_A), c_Message_Omsg_OMPair(v_NA, c_Message_Omsg_OKey(v_K))), c_Message_Omsg_OCrypt(c_Public_OshrK(v_B), c_Message_Omsg_OMPair(v_x, c_Message_Omsg_OKey(v_K)))))), c_List_Oset(v_evs3, tc_Event_Oevent), tc_Event_Oevent) | (~c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_A), c_Message_Omsg_OMPair(v_NA, c_Message_Omsg_OKey(v_K))), c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy, v_evs3)), tc_Message_Omsg))) | (~c_in(c_Event_Oevent_OSays(v_A, v_B, 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_OCrypt(c_Public_OshrK(v_A), c_Message_Omsg_OMPair(v_NA, c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A), c_Message_Omsg_OAgent(v_B)))))))), c_List_Oset(v_evs3, tc_Event_Oevent), tc_Event_Oevent))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','cls_conjecture_37')).
% 0.73/0.71  tff(35,plain,
% 0.73/0.71      (c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer, v_B, c_Message_Omsg_OMPair(v_NA, c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(v_A), c_Message_Omsg_OMPair(v_NA, c_Message_Omsg_OKey(v_K))), c_Message_Omsg_OCrypt(c_Public_OshrK(v_B), c_Message_Omsg_OMPair(v_x, c_Message_Omsg_OKey(v_K)))))), c_List_Oset(v_evs3, tc_Event_Oevent), tc_Event_Oevent) | (~c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_A), c_Message_Omsg_OMPair(v_NA, c_Message_Omsg_OKey(v_K))), c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy, v_evs3)), tc_Message_Omsg)) | (~c_in(c_Event_Oevent_OSays(v_A, v_B, 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_OCrypt(c_Public_OshrK(v_A), c_Message_Omsg_OMPair(v_NA, c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A), c_Message_Omsg_OAgent(v_B)))))))), c_List_Oset(v_evs3, tc_Event_Oevent), tc_Event_Oevent))),
% 0.73/0.71      inference(modus_ponens,[status(thm)],[34, 33])).
% 0.73/0.71  tff(36,plain,
% 0.73/0.71      (c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer, v_B, c_Message_Omsg_OMPair(v_NA, c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(v_A), c_Message_Omsg_OMPair(v_NA, c_Message_Omsg_OKey(v_K))), c_Message_Omsg_OCrypt(c_Public_OshrK(v_B), c_Message_Omsg_OMPair(v_x, c_Message_Omsg_OKey(v_K)))))), c_List_Oset(v_evs3, tc_Event_Oevent), tc_Event_Oevent) | (~c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_A), c_Message_Omsg_OMPair(v_NA, c_Message_Omsg_OKey(v_K))), c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy, v_evs3)), tc_Message_Omsg)) | (~c_in(c_Event_Oevent_OSays(v_A, v_B, 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_OCrypt(c_Public_OshrK(v_A), c_Message_Omsg_OMPair(v_NA, c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A), c_Message_Omsg_OAgent(v_B)))))))), c_List_Oset(v_evs3, tc_Event_Oevent), tc_Event_Oevent))),
% 0.73/0.71      inference(modus_ponens,[status(thm)],[35, 30])).
% 0.73/0.71  tff(37,plain,
% 0.73/0.71      (c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer, v_B, c_Message_Omsg_OMPair(v_NA, c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(v_A), c_Message_Omsg_OMPair(v_NA, c_Message_Omsg_OKey(v_K))), c_Message_Omsg_OCrypt(c_Public_OshrK(v_B), c_Message_Omsg_OMPair(v_x, c_Message_Omsg_OKey(v_K)))))), c_List_Oset(v_evs3, tc_Event_Oevent), tc_Event_Oevent) | (~c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_A), c_Message_Omsg_OMPair(v_NA, c_Message_Omsg_OKey(v_K))), c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy, v_evs3)), tc_Message_Omsg))),
% 0.73/0.71      inference(modus_ponens,[status(thm)],[36, 29])).
% 0.73/0.71  tff(38,plain,
% 0.73/0.71      (c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer, v_B, c_Message_Omsg_OMPair(v_NA, c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(v_A), c_Message_Omsg_OMPair(v_NA, c_Message_Omsg_OKey(v_K))), c_Message_Omsg_OCrypt(c_Public_OshrK(v_B), c_Message_Omsg_OMPair(v_x, c_Message_Omsg_OKey(v_K)))))), c_List_Oset(v_evs3, tc_Event_Oevent), tc_Event_Oevent) | (~c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_A), c_Message_Omsg_OMPair(v_NA, c_Message_Omsg_OKey(v_K))), c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy, v_evs3)), tc_Message_Omsg))),
% 0.73/0.71      inference(modus_ponens,[status(thm)],[37, 21])).
% 0.73/0.71  tff(39,plain,
% 0.73/0.71      (c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer, v_B, c_Message_Omsg_OMPair(v_NA, c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(v_A), c_Message_Omsg_OMPair(v_NA, c_Message_Omsg_OKey(v_K))), c_Message_Omsg_OCrypt(c_Public_OshrK(v_B), c_Message_Omsg_OMPair(v_x, c_Message_Omsg_OKey(v_K)))))), c_List_Oset(v_evs3, tc_Event_Oevent), tc_Event_Oevent) | (~c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_A), c_Message_Omsg_OMPair(v_NA, c_Message_Omsg_OKey(v_K))), c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy, v_evs3)), tc_Message_Omsg))),
% 0.73/0.71      inference(modus_ponens,[status(thm)],[38, 21])).
% 0.73/0.71  tff(40,plain,
% 0.73/0.71      (c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer, v_B, c_Message_Omsg_OMPair(v_NA, c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(v_A), c_Message_Omsg_OMPair(v_NA, c_Message_Omsg_OKey(v_K))), c_Message_Omsg_OCrypt(c_Public_OshrK(v_B), c_Message_Omsg_OMPair(v_x, c_Message_Omsg_OKey(v_K)))))), c_List_Oset(v_evs3, tc_Event_Oevent), tc_Event_Oevent) | (~c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_A), c_Message_Omsg_OMPair(v_NA, c_Message_Omsg_OKey(v_K))), c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy, v_evs3)), tc_Message_Omsg))),
% 0.73/0.71      inference(modus_ponens,[status(thm)],[39, 21])).
% 0.73/0.71  tff(41,plain,
% 0.73/0.71      (c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer, v_B, c_Message_Omsg_OMPair(v_NA, c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(v_A), c_Message_Omsg_OMPair(v_NA, c_Message_Omsg_OKey(v_K))), c_Message_Omsg_OCrypt(c_Public_OshrK(v_B), c_Message_Omsg_OMPair(v_x, c_Message_Omsg_OKey(v_K)))))), c_List_Oset(v_evs3, tc_Event_Oevent), tc_Event_Oevent) | (~c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_A), c_Message_Omsg_OMPair(v_NA, c_Message_Omsg_OKey(v_K))), c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy, v_evs3)), tc_Message_Omsg))),
% 0.73/0.71      inference(modus_ponens,[status(thm)],[40, 21])).
% 0.73/0.71  tff(42,plain,
% 0.73/0.71      (c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer, v_B, c_Message_Omsg_OMPair(v_NA, c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(v_A), c_Message_Omsg_OMPair(v_NA, c_Message_Omsg_OKey(v_K))), c_Message_Omsg_OCrypt(c_Public_OshrK(v_B), c_Message_Omsg_OMPair(v_x, c_Message_Omsg_OKey(v_K)))))), c_List_Oset(v_evs3, tc_Event_Oevent), tc_Event_Oevent) | (~c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_A), c_Message_Omsg_OMPair(v_NA, c_Message_Omsg_OKey(v_K))), c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy, v_evs3)), tc_Message_Omsg))),
% 0.73/0.71      inference(modus_ponens,[status(thm)],[41, 21])).
% 0.73/0.71  tff(43,plain,
% 0.73/0.71      (c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer, v_B, c_Message_Omsg_OMPair(v_NA, c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(v_A), c_Message_Omsg_OMPair(v_NA, c_Message_Omsg_OKey(v_K))), c_Message_Omsg_OCrypt(c_Public_OshrK(v_B), c_Message_Omsg_OMPair(v_x, c_Message_Omsg_OKey(v_K)))))), c_List_Oset(v_evs3, tc_Event_Oevent), tc_Event_Oevent) | (~c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_A), c_Message_Omsg_OMPair(v_NA, c_Message_Omsg_OKey(v_K))), c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy, v_evs3)), tc_Message_Omsg))),
% 0.73/0.71      inference(modus_ponens,[status(thm)],[42, 21])).
% 0.73/0.71  tff(44,plain,
% 0.73/0.71      (c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer, v_B, c_Message_Omsg_OMPair(v_NA, c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(v_A), c_Message_Omsg_OMPair(v_NA, c_Message_Omsg_OKey(v_K))), c_Message_Omsg_OCrypt(c_Public_OshrK(v_B), c_Message_Omsg_OMPair(v_x, c_Message_Omsg_OKey(v_K)))))), c_List_Oset(v_evs3, tc_Event_Oevent), tc_Event_Oevent)),
% 0.73/0.71      inference(unit_resolution,[status(thm)],[43, 20])).
% 0.73/0.71  tff(45,plain,
% 0.73/0.71      (((~![V_BK: $i] : ((~c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer, v_B, c_Message_Omsg_OMPair(v_NA, c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(v_A), c_Message_Omsg_OMPair(v_NA, c_Message_Omsg_OKey(v_K))), c_Message_Omsg_OCrypt(c_Public_OshrK(v_B), c_Message_Omsg_OMPair(V_BK, c_Message_Omsg_OKey(v_K)))))), c_List_Oset(v_evs3, tc_Event_Oevent), tc_Event_Oevent)) | (v_K = v_KAB))) | ((~c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer, v_B, c_Message_Omsg_OMPair(v_NA, c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(v_A), c_Message_Omsg_OMPair(v_NA, c_Message_Omsg_OKey(v_K))), c_Message_Omsg_OCrypt(c_Public_OshrK(v_B), c_Message_Omsg_OMPair(v_x, c_Message_Omsg_OKey(v_K)))))), c_List_Oset(v_evs3, tc_Event_Oevent), tc_Event_Oevent)) | (v_K = v_KAB))) <=> ((~![V_BK: $i] : ((~c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer, v_B, c_Message_Omsg_OMPair(v_NA, c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(v_A), c_Message_Omsg_OMPair(v_NA, c_Message_Omsg_OKey(v_K))), c_Message_Omsg_OCrypt(c_Public_OshrK(v_B), c_Message_Omsg_OMPair(V_BK, c_Message_Omsg_OKey(v_K)))))), c_List_Oset(v_evs3, tc_Event_Oevent), tc_Event_Oevent)) | (v_K = v_KAB))) | (~c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer, v_B, c_Message_Omsg_OMPair(v_NA, c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(v_A), c_Message_Omsg_OMPair(v_NA, c_Message_Omsg_OKey(v_K))), c_Message_Omsg_OCrypt(c_Public_OshrK(v_B), c_Message_Omsg_OMPair(v_x, c_Message_Omsg_OKey(v_K)))))), c_List_Oset(v_evs3, tc_Event_Oevent), tc_Event_Oevent)) | (v_K = v_KAB))),
% 0.73/0.71      inference(rewrite,[status(thm)],[])).
% 0.73/0.71  tff(46,plain,
% 0.73/0.71      ((~![V_BK: $i] : ((~c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer, v_B, c_Message_Omsg_OMPair(v_NA, c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(v_A), c_Message_Omsg_OMPair(v_NA, c_Message_Omsg_OKey(v_K))), c_Message_Omsg_OCrypt(c_Public_OshrK(v_B), c_Message_Omsg_OMPair(V_BK, c_Message_Omsg_OKey(v_K)))))), c_List_Oset(v_evs3, tc_Event_Oevent), tc_Event_Oevent)) | (v_K = v_KAB))) | ((~c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer, v_B, c_Message_Omsg_OMPair(v_NA, c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(v_A), c_Message_Omsg_OMPair(v_NA, c_Message_Omsg_OKey(v_K))), c_Message_Omsg_OCrypt(c_Public_OshrK(v_B), c_Message_Omsg_OMPair(v_x, c_Message_Omsg_OKey(v_K)))))), c_List_Oset(v_evs3, tc_Event_Oevent), tc_Event_Oevent)) | (v_K = v_KAB))),
% 0.73/0.71      inference(quant_inst,[status(thm)],[])).
% 0.73/0.71  tff(47,plain,
% 0.73/0.71      ((~![V_BK: $i] : ((~c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer, v_B, c_Message_Omsg_OMPair(v_NA, c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(v_A), c_Message_Omsg_OMPair(v_NA, c_Message_Omsg_OKey(v_K))), c_Message_Omsg_OCrypt(c_Public_OshrK(v_B), c_Message_Omsg_OMPair(V_BK, c_Message_Omsg_OKey(v_K)))))), c_List_Oset(v_evs3, tc_Event_Oevent), tc_Event_Oevent)) | (v_K = v_KAB))) | (~c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer, v_B, c_Message_Omsg_OMPair(v_NA, c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(v_A), c_Message_Omsg_OMPair(v_NA, c_Message_Omsg_OKey(v_K))), c_Message_Omsg_OCrypt(c_Public_OshrK(v_B), c_Message_Omsg_OMPair(v_x, c_Message_Omsg_OKey(v_K)))))), c_List_Oset(v_evs3, tc_Event_Oevent), tc_Event_Oevent)) | (v_K = v_KAB)),
% 0.73/0.71      inference(modus_ponens,[status(thm)],[46, 45])).
% 0.73/0.71  tff(48,plain,
% 0.73/0.71      ($false),
% 0.73/0.71      inference(unit_resolution,[status(thm)],[47, 44, 8, 7])).
% 0.73/0.71  tff(49,plain,(v_K = v_KAB), inference(lemma,lemma(discharge,[]))).
% 0.73/0.71  tff(50,plain,
% 0.73/0.71      (c_Message_Omsg_OKey(v_K) = c_Message_Omsg_OKey(v_KAB)),
% 0.73/0.71      inference(monotonicity,[status(thm)],[49])).
% 0.73/0.71  tff(51,plain,
% 0.73/0.71      (c_Message_Omsg_OKey(v_KAB) = c_Message_Omsg_OKey(v_K)),
% 0.73/0.72      inference(symmetry,[status(thm)],[50])).
% 0.73/0.72  tff(52,plain,
% 0.73/0.72      (c_Message_Omsg_OMPair(v_NA, c_Message_Omsg_OKey(v_KAB)) = c_Message_Omsg_OMPair(v_NA, c_Message_Omsg_OKey(v_K))),
% 0.73/0.72      inference(monotonicity,[status(thm)],[51])).
% 0.73/0.72  tff(53,plain,
% 0.73/0.72      (c_in(c_Message_Omsg_OMPair(v_NA, c_Message_Omsg_OKey(v_KAB)), c_Event_Oused(v_evs3), tc_Message_Omsg) <=> c_in(c_Message_Omsg_OMPair(v_NA, c_Message_Omsg_OKey(v_K)), c_Event_Oused(v_evs3), tc_Message_Omsg)),
% 0.73/0.72      inference(monotonicity,[status(thm)],[52])).
% 0.73/0.72  tff(54,plain,
% 0.73/0.72      (c_in(c_Message_Omsg_OMPair(v_NA, c_Message_Omsg_OKey(v_K)), c_Event_Oused(v_evs3), tc_Message_Omsg) <=> c_in(c_Message_Omsg_OMPair(v_NA, c_Message_Omsg_OKey(v_KAB)), c_Event_Oused(v_evs3), tc_Message_Omsg)),
% 0.73/0.72      inference(symmetry,[status(thm)],[53])).
% 0.73/0.72  tff(55,assumption,(~c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_A), c_Message_Omsg_OMPair(v_NA, c_Message_Omsg_OKey(v_K))), c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy, v_evs3)), tc_Message_Omsg)), introduced(assumption)).
% 0.73/0.72  tff(56,assumption,(~(v_A = v_Ba)), introduced(assumption)).
% 0.73/0.72  tff(57,plain,
% 0.73/0.72      ((c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_A), c_Message_Omsg_OMPair(v_NA, c_Message_Omsg_OKey(v_K))), c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy, v_evs3)), tc_Message_Omsg) | (v_A = v_Ba) | (v_A = v_Aa)) <=> (c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_A), c_Message_Omsg_OMPair(v_NA, c_Message_Omsg_OKey(v_K))), c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy, v_evs3)), tc_Message_Omsg) | (v_A = v_Ba) | (v_A = v_Aa))),
% 0.73/0.72      inference(rewrite,[status(thm)],[])).
% 0.73/0.72  tff(58,plain,
% 0.73/0.72      (((c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_A), c_Message_Omsg_OMPair(v_NA, c_Message_Omsg_OKey(v_K))), c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy, v_evs3)), tc_Message_Omsg) | (v_A = v_Ba)) | (v_A = v_Aa)) <=> (c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_A), c_Message_Omsg_OMPair(v_NA, c_Message_Omsg_OKey(v_K))), c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy, v_evs3)), tc_Message_Omsg) | (v_A = v_Ba) | (v_A = v_Aa))),
% 0.73/0.72      inference(rewrite,[status(thm)],[])).
% 0.73/0.72  tff(59,plain,
% 0.73/0.72      ((c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_A), c_Message_Omsg_OMPair(v_NA, c_Message_Omsg_OKey(v_K))), c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy, v_evs3)), tc_Message_Omsg) | (v_A = v_Ba)) <=> (c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_A), c_Message_Omsg_OMPair(v_NA, c_Message_Omsg_OKey(v_K))), c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy, v_evs3)), tc_Message_Omsg) | (v_A = v_Ba))),
% 0.73/0.72      inference(rewrite,[status(thm)],[])).
% 0.73/0.72  tff(60,plain,
% 0.73/0.72      (((c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_A), c_Message_Omsg_OMPair(v_NA, c_Message_Omsg_OKey(v_K))), c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy, v_evs3)), tc_Message_Omsg) | (v_A = v_Ba)) | (v_A = v_Aa)) <=> ((c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_A), c_Message_Omsg_OMPair(v_NA, c_Message_Omsg_OKey(v_K))), c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy, v_evs3)), tc_Message_Omsg) | (v_A = v_Ba)) | (v_A = v_Aa))),
% 0.73/0.72      inference(monotonicity,[status(thm)],[59])).
% 0.73/0.72  tff(61,plain,
% 0.73/0.72      (((c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_A), c_Message_Omsg_OMPair(v_NA, c_Message_Omsg_OKey(v_K))), c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy, v_evs3)), tc_Message_Omsg) | (v_A = v_Ba)) | (v_A = v_Aa)) <=> (c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_A), c_Message_Omsg_OMPair(v_NA, c_Message_Omsg_OKey(v_K))), c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy, v_evs3)), tc_Message_Omsg) | (v_A = v_Ba) | (v_A = v_Aa))),
% 0.73/0.72      inference(transitivity,[status(thm)],[60, 58])).
% 0.73/0.72  tff(62,axiom,((c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_A), c_Message_Omsg_OMPair(v_NA, c_Message_Omsg_OKey(v_K))), c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy, v_evs3)), tc_Message_Omsg) | (v_A = v_Ba)) | (v_A = v_Aa)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','cls_conjecture_7')).
% 0.73/0.72  tff(63,plain,
% 0.73/0.72      (c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_A), c_Message_Omsg_OMPair(v_NA, c_Message_Omsg_OKey(v_K))), c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy, v_evs3)), tc_Message_Omsg) | (v_A = v_Ba) | (v_A = v_Aa)),
% 0.73/0.72      inference(modus_ponens,[status(thm)],[62, 61])).
% 0.73/0.72  tff(64,plain,
% 0.73/0.72      (c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_A), c_Message_Omsg_OMPair(v_NA, c_Message_Omsg_OKey(v_K))), c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy, v_evs3)), tc_Message_Omsg) | (v_A = v_Ba) | (v_A = v_Aa)),
% 0.73/0.72      inference(modus_ponens,[status(thm)],[63, 57])).
% 0.73/0.72  tff(65,plain,
% 0.73/0.72      (c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_A), c_Message_Omsg_OMPair(v_NA, c_Message_Omsg_OKey(v_K))), c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy, v_evs3)), tc_Message_Omsg) | (v_A = v_Ba) | (v_A = v_Aa)),
% 0.73/0.72      inference(modus_ponens,[status(thm)],[64, 57])).
% 0.73/0.72  tff(66,plain,
% 0.73/0.72      (c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_A), c_Message_Omsg_OMPair(v_NA, c_Message_Omsg_OKey(v_K))), c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy, v_evs3)), tc_Message_Omsg) | (v_A = v_Ba) | (v_A = v_Aa)),
% 0.73/0.72      inference(modus_ponens,[status(thm)],[65, 57])).
% 0.73/0.72  tff(67,plain,
% 0.73/0.72      (c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_A), c_Message_Omsg_OMPair(v_NA, c_Message_Omsg_OKey(v_K))), c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy, v_evs3)), tc_Message_Omsg) | (v_A = v_Ba) | (v_A = v_Aa)),
% 0.73/0.72      inference(modus_ponens,[status(thm)],[66, 57])).
% 0.73/0.72  tff(68,plain,
% 0.73/0.72      (c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_A), c_Message_Omsg_OMPair(v_NA, c_Message_Omsg_OKey(v_K))), c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy, v_evs3)), tc_Message_Omsg) | (v_A = v_Ba) | (v_A = v_Aa)),
% 0.73/0.72      inference(modus_ponens,[status(thm)],[67, 57])).
% 0.73/0.72  tff(69,plain,
% 0.73/0.72      (c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_A), c_Message_Omsg_OMPair(v_NA, c_Message_Omsg_OKey(v_K))), c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy, v_evs3)), tc_Message_Omsg) | (v_A = v_Ba) | (v_A = v_Aa)),
% 0.73/0.72      inference(modus_ponens,[status(thm)],[68, 57])).
% 0.73/0.72  tff(70,plain,
% 0.73/0.72      (c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_A), c_Message_Omsg_OMPair(v_NA, c_Message_Omsg_OKey(v_K))), c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy, v_evs3)), tc_Message_Omsg) | (v_A = v_Ba) | (v_A = v_Aa)),
% 0.73/0.72      inference(modus_ponens,[status(thm)],[69, 57])).
% 0.73/0.72  tff(71,plain,
% 0.73/0.72      (c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_A), c_Message_Omsg_OMPair(v_NA, c_Message_Omsg_OKey(v_K))), c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy, v_evs3)), tc_Message_Omsg) | (v_A = v_Ba) | (v_A = v_Aa)),
% 0.73/0.72      inference(modus_ponens,[status(thm)],[70, 57])).
% 0.73/0.72  tff(72,plain,
% 0.73/0.72      (v_A = v_Aa),
% 0.73/0.72      inference(unit_resolution,[status(thm)],[71, 56, 55])).
% 0.73/0.72  tff(73,plain,
% 0.73/0.72      (v_Aa = v_A),
% 0.73/0.72      inference(symmetry,[status(thm)],[72])).
% 0.73/0.72  tff(74,plain,
% 0.73/0.72      (c_in(v_Aa, c_Event_Obad, tc_Message_Oagent) <=> c_in(v_A, c_Event_Obad, tc_Message_Oagent)),
% 0.73/0.72      inference(monotonicity,[status(thm)],[73])).
% 0.73/0.72  tff(75,plain,
% 0.73/0.72      (c_in(v_A, c_Event_Obad, tc_Message_Oagent) <=> c_in(v_Aa, c_Event_Obad, tc_Message_Oagent)),
% 0.73/0.72      inference(symmetry,[status(thm)],[74])).
% 0.73/0.72  tff(76,plain,
% 0.73/0.72      ((~c_in(v_A, c_Event_Obad, tc_Message_Oagent)) <=> (~c_in(v_Aa, c_Event_Obad, tc_Message_Oagent))),
% 0.73/0.72      inference(monotonicity,[status(thm)],[75])).
% 0.73/0.72  tff(77,plain,
% 0.73/0.72      ((~c_in(v_A, c_Event_Obad, tc_Message_Oagent)) <=> (~c_in(v_A, c_Event_Obad, tc_Message_Oagent))),
% 0.73/0.72      inference(rewrite,[status(thm)],[])).
% 0.73/0.72  tff(78,axiom,(~c_in(v_A, c_Event_Obad, tc_Message_Oagent)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','cls_conjecture_0')).
% 0.73/0.72  tff(79,plain,
% 0.73/0.72      (~c_in(v_A, c_Event_Obad, tc_Message_Oagent)),
% 0.73/0.72      inference(modus_ponens,[status(thm)],[78, 77])).
% 0.73/0.72  tff(80,plain,
% 0.73/0.72      (~c_in(v_Aa, c_Event_Obad, tc_Message_Oagent)),
% 0.73/0.72      inference(modus_ponens,[status(thm)],[79, 76])).
% 0.73/0.72  tff(81,plain,
% 0.73/0.72      (c_Message_Omsg_OAgent(v_A) = c_Message_Omsg_OAgent(v_Aa)),
% 0.73/0.72      inference(monotonicity,[status(thm)],[72])).
% 0.73/0.72  tff(82,plain,
% 0.73/0.72      (c_Message_Omsg_OAgent(v_Aa) = c_Message_Omsg_OAgent(v_A)),
% 0.73/0.72      inference(symmetry,[status(thm)],[81])).
% 0.73/0.72  tff(83,plain,
% 0.73/0.72      (c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa), c_Message_Omsg_OAgent(v_B)) = c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A), c_Message_Omsg_OAgent(v_B))),
% 0.73/0.72      inference(monotonicity,[status(thm)],[82])).
% 0.73/0.72  tff(84,plain,
% 0.73/0.72      ((c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_A), c_Message_Omsg_OMPair(v_NA, c_Message_Omsg_OKey(v_K))), c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy, v_evs3)), tc_Message_Omsg) | (v_A = v_Ba) | (v_NA = c_Message_Omsg_ONonce(v_NAa))) <=> (c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_A), c_Message_Omsg_OMPair(v_NA, c_Message_Omsg_OKey(v_K))), c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy, v_evs3)), tc_Message_Omsg) | (v_A = v_Ba) | (v_NA = c_Message_Omsg_ONonce(v_NAa)))),
% 0.73/0.72      inference(rewrite,[status(thm)],[])).
% 0.73/0.72  tff(85,plain,
% 0.73/0.72      (((c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_A), c_Message_Omsg_OMPair(v_NA, c_Message_Omsg_OKey(v_K))), c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy, v_evs3)), tc_Message_Omsg) | (v_A = v_Ba)) | (v_NA = c_Message_Omsg_ONonce(v_NAa))) <=> (c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_A), c_Message_Omsg_OMPair(v_NA, c_Message_Omsg_OKey(v_K))), c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy, v_evs3)), tc_Message_Omsg) | (v_A = v_Ba) | (v_NA = c_Message_Omsg_ONonce(v_NAa)))),
% 0.73/0.72      inference(rewrite,[status(thm)],[])).
% 0.73/0.72  tff(86,plain,
% 0.73/0.72      (((c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_A), c_Message_Omsg_OMPair(v_NA, c_Message_Omsg_OKey(v_K))), c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy, v_evs3)), tc_Message_Omsg) | (v_A = v_Ba)) | (v_NA = c_Message_Omsg_ONonce(v_NAa))) <=> ((c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_A), c_Message_Omsg_OMPair(v_NA, c_Message_Omsg_OKey(v_K))), c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy, v_evs3)), tc_Message_Omsg) | (v_A = v_Ba)) | (v_NA = c_Message_Omsg_ONonce(v_NAa)))),
% 0.73/0.72      inference(monotonicity,[status(thm)],[59])).
% 0.73/0.72  tff(87,plain,
% 0.73/0.72      (((c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_A), c_Message_Omsg_OMPair(v_NA, c_Message_Omsg_OKey(v_K))), c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy, v_evs3)), tc_Message_Omsg) | (v_A = v_Ba)) | (v_NA = c_Message_Omsg_ONonce(v_NAa))) <=> (c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_A), c_Message_Omsg_OMPair(v_NA, c_Message_Omsg_OKey(v_K))), c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy, v_evs3)), tc_Message_Omsg) | (v_A = v_Ba) | (v_NA = c_Message_Omsg_ONonce(v_NAa)))),
% 0.73/0.72      inference(transitivity,[status(thm)],[86, 85])).
% 0.73/0.72  tff(88,axiom,((c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_A), c_Message_Omsg_OMPair(v_NA, c_Message_Omsg_OKey(v_K))), c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy, v_evs3)), tc_Message_Omsg) | (v_A = v_Ba)) | (v_NA = c_Message_Omsg_ONonce(v_NAa))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','cls_conjecture_15')).
% 0.73/0.72  tff(89,plain,
% 0.73/0.72      (c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_A), c_Message_Omsg_OMPair(v_NA, c_Message_Omsg_OKey(v_K))), c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy, v_evs3)), tc_Message_Omsg) | (v_A = v_Ba) | (v_NA = c_Message_Omsg_ONonce(v_NAa))),
% 0.73/0.72      inference(modus_ponens,[status(thm)],[88, 87])).
% 0.73/0.72  tff(90,plain,
% 0.73/0.72      (c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_A), c_Message_Omsg_OMPair(v_NA, c_Message_Omsg_OKey(v_K))), c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy, v_evs3)), tc_Message_Omsg) | (v_A = v_Ba) | (v_NA = c_Message_Omsg_ONonce(v_NAa))),
% 0.73/0.72      inference(modus_ponens,[status(thm)],[89, 84])).
% 0.73/0.72  tff(91,plain,
% 0.73/0.72      (c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_A), c_Message_Omsg_OMPair(v_NA, c_Message_Omsg_OKey(v_K))), c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy, v_evs3)), tc_Message_Omsg) | (v_A = v_Ba) | (v_NA = c_Message_Omsg_ONonce(v_NAa))),
% 0.73/0.72      inference(modus_ponens,[status(thm)],[90, 84])).
% 0.73/0.72  tff(92,plain,
% 0.73/0.72      (c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_A), c_Message_Omsg_OMPair(v_NA, c_Message_Omsg_OKey(v_K))), c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy, v_evs3)), tc_Message_Omsg) | (v_A = v_Ba) | (v_NA = c_Message_Omsg_ONonce(v_NAa))),
% 0.73/0.72      inference(modus_ponens,[status(thm)],[91, 84])).
% 0.73/0.72  tff(93,plain,
% 0.73/0.72      (c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_A), c_Message_Omsg_OMPair(v_NA, c_Message_Omsg_OKey(v_K))), c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy, v_evs3)), tc_Message_Omsg) | (v_A = v_Ba) | (v_NA = c_Message_Omsg_ONonce(v_NAa))),
% 0.73/0.72      inference(modus_ponens,[status(thm)],[92, 84])).
% 0.73/0.72  tff(94,plain,
% 0.73/0.72      (c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_A), c_Message_Omsg_OMPair(v_NA, c_Message_Omsg_OKey(v_K))), c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy, v_evs3)), tc_Message_Omsg) | (v_A = v_Ba) | (v_NA = c_Message_Omsg_ONonce(v_NAa))),
% 0.73/0.72      inference(modus_ponens,[status(thm)],[93, 84])).
% 0.73/0.72  tff(95,plain,
% 0.73/0.72      (c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_A), c_Message_Omsg_OMPair(v_NA, c_Message_Omsg_OKey(v_K))), c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy, v_evs3)), tc_Message_Omsg) | (v_A = v_Ba) | (v_NA = c_Message_Omsg_ONonce(v_NAa))),
% 0.73/0.72      inference(modus_ponens,[status(thm)],[94, 84])).
% 0.73/0.72  tff(96,plain,
% 0.73/0.72      (c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_A), c_Message_Omsg_OMPair(v_NA, c_Message_Omsg_OKey(v_K))), c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy, v_evs3)), tc_Message_Omsg) | (v_A = v_Ba) | (v_NA = c_Message_Omsg_ONonce(v_NAa))),
% 0.73/0.72      inference(modus_ponens,[status(thm)],[95, 84])).
% 0.73/0.72  tff(97,plain,
% 0.73/0.72      (c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_A), c_Message_Omsg_OMPair(v_NA, c_Message_Omsg_OKey(v_K))), c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy, v_evs3)), tc_Message_Omsg) | (v_A = v_Ba) | (v_NA = c_Message_Omsg_ONonce(v_NAa))),
% 0.73/0.72      inference(modus_ponens,[status(thm)],[96, 84])).
% 0.73/0.72  tff(98,plain,
% 0.73/0.72      (v_NA = c_Message_Omsg_ONonce(v_NAa)),
% 0.73/0.72      inference(unit_resolution,[status(thm)],[97, 56, 55])).
% 0.73/0.72  tff(99,plain,
% 0.73/0.72      (c_Message_Omsg_ONonce(v_NAa) = v_NA),
% 0.73/0.72      inference(symmetry,[status(thm)],[98])).
% 0.73/0.72  tff(100,plain,
% 0.73/0.72      (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_B))) = c_Message_Omsg_OMPair(v_NA, c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A), c_Message_Omsg_OAgent(v_B)))),
% 0.73/0.72      inference(monotonicity,[status(thm)],[99, 83])).
% 0.73/0.72  tff(101,plain,
% 0.73/0.72      (c_Public_OshrK(v_A) = c_Public_OshrK(v_Aa)),
% 0.73/0.72      inference(monotonicity,[status(thm)],[72])).
% 0.73/0.72  tff(102,plain,
% 0.73/0.72      (c_Public_OshrK(v_Aa) = c_Public_OshrK(v_A)),
% 0.73/0.72      inference(symmetry,[status(thm)],[101])).
% 0.73/0.72  tff(103,plain,
% 0.73/0.72      (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_B)))) = c_Message_Omsg_OCrypt(c_Public_OshrK(v_A), c_Message_Omsg_OMPair(v_NA, c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A), c_Message_Omsg_OAgent(v_B))))),
% 0.73/0.72      inference(monotonicity,[status(thm)],[102, 100])).
% 0.73/0.72  tff(104,plain,
% 0.73/0.72      (c_in(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_B)))), c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy, v_evs3)), tc_Message_Omsg) <=> c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_A), c_Message_Omsg_OMPair(v_NA, 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_evs3)), tc_Message_Omsg)),
% 0.73/0.72      inference(monotonicity,[status(thm)],[103])).
% 0.73/0.72  tff(105,plain,
% 0.73/0.72      (c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_A), c_Message_Omsg_OMPair(v_NA, 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_evs3)), tc_Message_Omsg) <=> c_in(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_B)))), c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy, v_evs3)), tc_Message_Omsg)),
% 0.73/0.72      inference(symmetry,[status(thm)],[104])).
% 0.73/0.72  tff(106,plain,
% 0.73/0.72      (c_in(c_Event_Oevent_OSays(v_A, v_B, 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_OCrypt(c_Public_OshrK(v_A), c_Message_Omsg_OMPair(v_NA, c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A), c_Message_Omsg_OAgent(v_B)))))))), c_List_Oset(v_evs3, tc_Event_Oevent), tc_Event_Oevent) <=> c_in(c_Event_Oevent_OSays(v_A, v_B, 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_OCrypt(c_Public_OshrK(v_A), c_Message_Omsg_OMPair(v_NA, c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A), c_Message_Omsg_OAgent(v_B)))))))), c_List_Oset(v_evs3, tc_Event_Oevent), tc_Event_Oevent)),
% 0.73/0.72      inference(rewrite,[status(thm)],[])).
% 0.73/0.72  tff(107,plain,
% 0.73/0.72      (c_in(c_Event_Oevent_OSays(v_A, v_B, 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_OCrypt(c_Public_OshrK(v_A), c_Message_Omsg_OMPair(v_NA, c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A), c_Message_Omsg_OAgent(v_B)))))))), c_List_Oset(v_evs3, tc_Event_Oevent), tc_Event_Oevent)),
% 0.73/0.72      inference(modus_ponens,[status(thm)],[24, 106])).
% 0.73/0.72  tff(108,plain,
% 0.73/0.72      (^[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)))),
% 0.73/0.72      inference(bind,[status(th)],[])).
% 0.73/0.72  tff(109,plain,
% 0.73/0.72      (![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))),
% 0.73/0.72      inference(quant_intro,[status(thm)],[108])).
% 0.73/0.72  tff(110,plain,
% 0.73/0.72      (![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))),
% 0.73/0.72      inference(rewrite,[status(thm)],[])).
% 0.73/0.72  tff(111,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/sandbox2/benchmark/theBenchmark.p','cls_Event_OSays__imp__analz__Spy__dest_0')).
% 0.73/0.72  tff(112,plain,
% 0.73/0.72      (![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))),
% 0.73/0.72      inference(modus_ponens,[status(thm)],[111, 110])).
% 0.73/0.72  tff(113,plain,(
% 0.73/0.72      ![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))),
% 0.73/0.72      inference(skolemize,[status(sab)],[112])).
% 0.73/0.72  tff(114,plain,
% 0.73/0.72      (![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))),
% 0.73/0.72      inference(modus_ponens,[status(thm)],[113, 109])).
% 0.73/0.72  tff(115,plain,
% 0.73/0.72      (((~![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_A, v_B, 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_OCrypt(c_Public_OshrK(v_A), c_Message_Omsg_OMPair(v_NA, c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A), c_Message_Omsg_OAgent(v_B)))))))), c_List_Oset(v_evs3, tc_Event_Oevent), tc_Event_Oevent)) | c_in(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_OCrypt(c_Public_OshrK(v_A), c_Message_Omsg_OMPair(v_NA, c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A), c_Message_Omsg_OAgent(v_B))))))), 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_A, v_B, 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_OCrypt(c_Public_OshrK(v_A), c_Message_Omsg_OMPair(v_NA, c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A), c_Message_Omsg_OAgent(v_B)))))))), c_List_Oset(v_evs3, tc_Event_Oevent), tc_Event_Oevent)) | c_in(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_OCrypt(c_Public_OshrK(v_A), c_Message_Omsg_OMPair(v_NA, c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A), c_Message_Omsg_OAgent(v_B))))))), c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy, v_evs3)), tc_Message_Omsg))),
% 0.73/0.72      inference(rewrite,[status(thm)],[])).
% 0.73/0.72  tff(116,plain,
% 0.73/0.72      ((~![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_A, v_B, 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_OCrypt(c_Public_OshrK(v_A), c_Message_Omsg_OMPair(v_NA, c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A), c_Message_Omsg_OAgent(v_B)))))))), c_List_Oset(v_evs3, tc_Event_Oevent), tc_Event_Oevent)) | c_in(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_OCrypt(c_Public_OshrK(v_A), c_Message_Omsg_OMPair(v_NA, c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A), c_Message_Omsg_OAgent(v_B))))))), c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy, v_evs3)), tc_Message_Omsg))),
% 0.73/0.72      inference(quant_inst,[status(thm)],[])).
% 0.73/0.72  tff(117,plain,
% 0.73/0.72      ((~![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_A, v_B, 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_OCrypt(c_Public_OshrK(v_A), c_Message_Omsg_OMPair(v_NA, c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A), c_Message_Omsg_OAgent(v_B)))))))), c_List_Oset(v_evs3, tc_Event_Oevent), tc_Event_Oevent)) | c_in(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_OCrypt(c_Public_OshrK(v_A), c_Message_Omsg_OMPair(v_NA, c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A), c_Message_Omsg_OAgent(v_B))))))), c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy, v_evs3)), tc_Message_Omsg)),
% 0.73/0.72      inference(modus_ponens,[status(thm)],[116, 115])).
% 0.73/0.72  tff(118,plain,
% 0.73/0.72      (c_in(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_OCrypt(c_Public_OshrK(v_A), c_Message_Omsg_OMPair(v_NA, c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A), c_Message_Omsg_OAgent(v_B))))))), c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy, v_evs3)), tc_Message_Omsg)),
% 0.73/0.72      inference(unit_resolution,[status(thm)],[117, 114, 107])).
% 0.73/0.72  tff(119,plain,
% 0.73/0.72      (^[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)))),
% 0.73/0.72      inference(bind,[status(th)],[])).
% 0.73/0.72  tff(120,plain,
% 0.73/0.72      (![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))),
% 0.73/0.72      inference(quant_intro,[status(thm)],[119])).
% 0.73/0.72  tff(121,plain,
% 0.73/0.72      (![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))),
% 0.73/0.72      inference(rewrite,[status(thm)],[])).
% 0.73/0.72  tff(122,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/sandbox2/benchmark/theBenchmark.p','cls_Message_OMPair__analz_0')).
% 0.73/0.72  tff(123,plain,
% 0.73/0.72      (![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))),
% 0.73/0.72      inference(modus_ponens,[status(thm)],[122, 121])).
% 0.73/0.72  tff(124,plain,(
% 0.73/0.72      ![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))),
% 0.73/0.72      inference(skolemize,[status(sab)],[123])).
% 0.73/0.72  tff(125,plain,
% 0.73/0.72      (![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))),
% 0.73/0.72      inference(modus_ponens,[status(thm)],[124, 120])).
% 0.73/0.72  tff(126,plain,
% 0.73/0.72      (((~![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(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_OCrypt(c_Public_OshrK(v_A), c_Message_Omsg_OMPair(v_NA, c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A), c_Message_Omsg_OAgent(v_B))))))), 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_A), c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_B), c_Message_Omsg_OCrypt(c_Public_OshrK(v_A), c_Message_Omsg_OMPair(v_NA, c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A), c_Message_Omsg_OAgent(v_B)))))), 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(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_OCrypt(c_Public_OshrK(v_A), c_Message_Omsg_OMPair(v_NA, c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A), c_Message_Omsg_OAgent(v_B))))))), 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_A), c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_B), c_Message_Omsg_OCrypt(c_Public_OshrK(v_A), c_Message_Omsg_OMPair(v_NA, c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A), c_Message_Omsg_OAgent(v_B)))))), c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy, v_evs3)), tc_Message_Omsg))),
% 0.73/0.72      inference(rewrite,[status(thm)],[])).
% 0.73/0.72  tff(127,plain,
% 0.73/0.72      ((~![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(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_OCrypt(c_Public_OshrK(v_A), c_Message_Omsg_OMPair(v_NA, c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A), c_Message_Omsg_OAgent(v_B))))))), 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_A), c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_B), c_Message_Omsg_OCrypt(c_Public_OshrK(v_A), c_Message_Omsg_OMPair(v_NA, c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A), c_Message_Omsg_OAgent(v_B)))))), c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy, v_evs3)), tc_Message_Omsg))),
% 0.73/0.72      inference(quant_inst,[status(thm)],[])).
% 0.73/0.72  tff(128,plain,
% 0.73/0.72      ((~![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(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_OCrypt(c_Public_OshrK(v_A), c_Message_Omsg_OMPair(v_NA, c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A), c_Message_Omsg_OAgent(v_B))))))), 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_A), c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_B), c_Message_Omsg_OCrypt(c_Public_OshrK(v_A), c_Message_Omsg_OMPair(v_NA, c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A), c_Message_Omsg_OAgent(v_B)))))), c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy, v_evs3)), tc_Message_Omsg)),
% 0.73/0.72      inference(modus_ponens,[status(thm)],[127, 126])).
% 0.73/0.72  tff(129,plain,
% 0.73/0.72      (c_in(c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A), c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_B), c_Message_Omsg_OCrypt(c_Public_OshrK(v_A), c_Message_Omsg_OMPair(v_NA, c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A), c_Message_Omsg_OAgent(v_B)))))), c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy, v_evs3)), tc_Message_Omsg)),
% 0.73/0.72      inference(unit_resolution,[status(thm)],[128, 125, 118])).
% 0.73/0.72  tff(130,plain,
% 0.73/0.72      (((~![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_A), c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_B), c_Message_Omsg_OCrypt(c_Public_OshrK(v_A), c_Message_Omsg_OMPair(v_NA, c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A), c_Message_Omsg_OAgent(v_B)))))), 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_B), c_Message_Omsg_OCrypt(c_Public_OshrK(v_A), c_Message_Omsg_OMPair(v_NA, c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A), c_Message_Omsg_OAgent(v_B))))), 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_A), c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_B), c_Message_Omsg_OCrypt(c_Public_OshrK(v_A), c_Message_Omsg_OMPair(v_NA, c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A), c_Message_Omsg_OAgent(v_B)))))), 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_B), c_Message_Omsg_OCrypt(c_Public_OshrK(v_A), c_Message_Omsg_OMPair(v_NA, c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A), c_Message_Omsg_OAgent(v_B))))), c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy, v_evs3)), tc_Message_Omsg))),
% 0.73/0.72      inference(rewrite,[status(thm)],[])).
% 0.73/0.73  tff(131,plain,
% 0.73/0.73      ((~![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_A), c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_B), c_Message_Omsg_OCrypt(c_Public_OshrK(v_A), c_Message_Omsg_OMPair(v_NA, c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A), c_Message_Omsg_OAgent(v_B)))))), 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_B), c_Message_Omsg_OCrypt(c_Public_OshrK(v_A), c_Message_Omsg_OMPair(v_NA, c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A), c_Message_Omsg_OAgent(v_B))))), c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy, v_evs3)), tc_Message_Omsg))),
% 0.73/0.73      inference(quant_inst,[status(thm)],[])).
% 0.73/0.73  tff(132,plain,
% 0.73/0.73      ((~![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_A), c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_B), c_Message_Omsg_OCrypt(c_Public_OshrK(v_A), c_Message_Omsg_OMPair(v_NA, c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A), c_Message_Omsg_OAgent(v_B)))))), 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_B), c_Message_Omsg_OCrypt(c_Public_OshrK(v_A), c_Message_Omsg_OMPair(v_NA, c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A), c_Message_Omsg_OAgent(v_B))))), c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy, v_evs3)), tc_Message_Omsg)),
% 0.73/0.73      inference(modus_ponens,[status(thm)],[131, 130])).
% 0.73/0.73  tff(133,plain,
% 0.73/0.73      (c_in(c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_B), c_Message_Omsg_OCrypt(c_Public_OshrK(v_A), c_Message_Omsg_OMPair(v_NA, c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A), c_Message_Omsg_OAgent(v_B))))), c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy, v_evs3)), tc_Message_Omsg)),
% 0.73/0.73      inference(unit_resolution,[status(thm)],[132, 125, 129])).
% 0.73/0.73  tff(134,plain,
% 0.73/0.73      (((~![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_B), c_Message_Omsg_OCrypt(c_Public_OshrK(v_A), c_Message_Omsg_OMPair(v_NA, c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A), c_Message_Omsg_OAgent(v_B))))), 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_A), c_Message_Omsg_OMPair(v_NA, c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A), c_Message_Omsg_OAgent(v_B)))), 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_B), c_Message_Omsg_OCrypt(c_Public_OshrK(v_A), c_Message_Omsg_OMPair(v_NA, c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A), c_Message_Omsg_OAgent(v_B))))), 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_A), c_Message_Omsg_OMPair(v_NA, c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A), c_Message_Omsg_OAgent(v_B)))), c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy, v_evs3)), tc_Message_Omsg))),
% 0.73/0.73      inference(rewrite,[status(thm)],[])).
% 0.73/0.73  tff(135,plain,
% 0.73/0.73      ((~![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_B), c_Message_Omsg_OCrypt(c_Public_OshrK(v_A), c_Message_Omsg_OMPair(v_NA, c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A), c_Message_Omsg_OAgent(v_B))))), 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_A), c_Message_Omsg_OMPair(v_NA, c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A), c_Message_Omsg_OAgent(v_B)))), c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy, v_evs3)), tc_Message_Omsg))),
% 0.73/0.73      inference(quant_inst,[status(thm)],[])).
% 0.73/0.73  tff(136,plain,
% 0.73/0.73      ((~![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_B), c_Message_Omsg_OCrypt(c_Public_OshrK(v_A), c_Message_Omsg_OMPair(v_NA, c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A), c_Message_Omsg_OAgent(v_B))))), 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_A), c_Message_Omsg_OMPair(v_NA, c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A), c_Message_Omsg_OAgent(v_B)))), c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy, v_evs3)), tc_Message_Omsg)),
% 0.73/0.73      inference(modus_ponens,[status(thm)],[135, 134])).
% 0.73/0.73  tff(137,plain,
% 0.73/0.73      (c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_A), c_Message_Omsg_OMPair(v_NA, c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A), c_Message_Omsg_OAgent(v_B)))), c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy, v_evs3)), tc_Message_Omsg)),
% 0.73/0.73      inference(unit_resolution,[status(thm)],[136, 125, 133])).
% 0.73/0.73  tff(138,plain,
% 0.73/0.73      (^[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)))),
% 0.73/0.73      inference(bind,[status(th)],[])).
% 0.73/0.73  tff(139,plain,
% 0.73/0.73      (![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))),
% 0.73/0.73      inference(quant_intro,[status(thm)],[138])).
% 0.73/0.73  tff(140,plain,
% 0.73/0.73      (![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))),
% 0.73/0.73      inference(rewrite,[status(thm)],[])).
% 0.73/0.73  tff(141,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/sandbox2/benchmark/theBenchmark.p','cls_Message_Oanalz__into__parts__dest_0')).
% 0.73/0.73  tff(142,plain,
% 0.73/0.73      (![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))),
% 0.73/0.73      inference(modus_ponens,[status(thm)],[141, 140])).
% 0.73/0.73  tff(143,plain,(
% 0.73/0.73      ![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))),
% 0.73/0.73      inference(skolemize,[status(sab)],[142])).
% 0.73/0.73  tff(144,plain,
% 0.73/0.73      (![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))),
% 0.73/0.73      inference(modus_ponens,[status(thm)],[143, 139])).
% 0.73/0.73  tff(145,plain,
% 0.73/0.73      (((~![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_A), c_Message_Omsg_OMPair(v_NA, c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A), c_Message_Omsg_OAgent(v_B)))), 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_A), c_Message_Omsg_OMPair(v_NA, 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_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_A), c_Message_Omsg_OMPair(v_NA, c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A), c_Message_Omsg_OAgent(v_B)))), 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_A), c_Message_Omsg_OMPair(v_NA, 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_evs3)), tc_Message_Omsg))),
% 0.73/0.73      inference(rewrite,[status(thm)],[])).
% 0.73/0.73  tff(146,plain,
% 0.73/0.73      ((~![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_A), c_Message_Omsg_OMPair(v_NA, c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A), c_Message_Omsg_OAgent(v_B)))), 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_A), c_Message_Omsg_OMPair(v_NA, 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_evs3)), tc_Message_Omsg))),
% 0.73/0.73      inference(quant_inst,[status(thm)],[])).
% 0.73/0.73  tff(147,plain,
% 0.73/0.73      ((~![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_A), c_Message_Omsg_OMPair(v_NA, c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A), c_Message_Omsg_OAgent(v_B)))), 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_A), c_Message_Omsg_OMPair(v_NA, 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_evs3)), tc_Message_Omsg)),
% 0.73/0.73      inference(modus_ponens,[status(thm)],[146, 145])).
% 0.73/0.73  tff(148,plain,
% 0.73/0.73      (c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_A), c_Message_Omsg_OMPair(v_NA, 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_evs3)), tc_Message_Omsg)),
% 0.73/0.73      inference(unit_resolution,[status(thm)],[147, 144, 137])).
% 0.73/0.73  tff(149,plain,
% 0.73/0.73      (c_in(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_B)))), c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy, v_evs3)), tc_Message_Omsg)),
% 0.73/0.73      inference(modus_ponens,[status(thm)],[148, 105])).
% 0.73/0.73  tff(150,plain,
% 0.73/0.73      (![V_U: $i, V_BO: $i] : ((v_A = v_Ba) | (~(v_K = v_KAB)) | (~(v_A = v_Aa)) | (~(v_NA = c_Message_Omsg_ONonce(v_NAa))) | (~(v_B = v_Ba)) | (~(V_U = c_Message_Omsg_ONonce(v_NB))) | (~(V_BO = c_Message_Omsg_ONonce(v_NB)))) <=> ![V_U: $i, V_BO: $i] : ((v_A = v_Ba) | (~(v_K = v_KAB)) | (~(v_A = v_Aa)) | (~(v_NA = c_Message_Omsg_ONonce(v_NAa))) | (~(v_B = v_Ba)) | (~(V_U = c_Message_Omsg_ONonce(v_NB))) | (~(V_BO = c_Message_Omsg_ONonce(v_NB))))),
% 0.73/0.73      inference(rewrite,[status(thm)],[])).
% 0.73/0.73  tff(151,plain,
% 0.73/0.73      (^[V_U: $i, V_BO: $i] : trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(rewrite(((~(V_BO = c_Message_Omsg_ONonce(v_NB))) | (~(v_K = v_KAB))) <=> ((~(v_K = v_KAB)) | (~(V_BO = c_Message_Omsg_ONonce(v_NB))))), ((((~(V_BO = c_Message_Omsg_ONonce(v_NB))) | (~(v_K = v_KAB))) | (~(v_A = v_Aa))) <=> (((~(v_K = v_KAB)) | (~(V_BO = c_Message_Omsg_ONonce(v_NB)))) | (~(v_A = v_Aa))))), rewrite((((~(v_K = v_KAB)) | (~(V_BO = c_Message_Omsg_ONonce(v_NB)))) | (~(v_A = v_Aa))) <=> ((~(v_K = v_KAB)) | (~(v_A = v_Aa)) | (~(V_BO = c_Message_Omsg_ONonce(v_NB))))), ((((~(V_BO = c_Message_Omsg_ONonce(v_NB))) | (~(v_K = v_KAB))) | (~(v_A = v_Aa))) <=> ((~(v_K = v_KAB)) | (~(v_A = v_Aa)) | (~(V_BO = c_Message_Omsg_ONonce(v_NB)))))), (((((~(V_BO = c_Message_Omsg_ONonce(v_NB))) | (~(v_K = v_KAB))) | (~(v_A = v_Aa))) | (~(v_NA = c_Message_Omsg_ONonce(v_NAa)))) <=> (((~(v_K = v_KAB)) | (~(v_A = v_Aa)) | (~(V_BO = c_Message_Omsg_ONonce(v_NB)))) | (~(v_NA = c_Message_Omsg_ONonce(v_NAa)))))), rewrite((((~(v_K = v_KAB)) | (~(v_A = v_Aa)) | (~(V_BO = c_Message_Omsg_ONonce(v_NB)))) | (~(v_NA = c_Message_Omsg_ONonce(v_NAa)))) <=> ((~(v_K = v_KAB)) | (~(v_A = v_Aa)) | (~(v_NA = c_Message_Omsg_ONonce(v_NAa))) | (~(V_BO = c_Message_Omsg_ONonce(v_NB))))), (((((~(V_BO = c_Message_Omsg_ONonce(v_NB))) | (~(v_K = v_KAB))) | (~(v_A = v_Aa))) | (~(v_NA = c_Message_Omsg_ONonce(v_NAa)))) <=> ((~(v_K = v_KAB)) | (~(v_A = v_Aa)) | (~(v_NA = c_Message_Omsg_ONonce(v_NAa))) | (~(V_BO = c_Message_Omsg_ONonce(v_NB)))))), ((((((~(V_BO = c_Message_Omsg_ONonce(v_NB))) | (~(v_K = v_KAB))) | (~(v_A = v_Aa))) | (~(v_NA = c_Message_Omsg_ONonce(v_NAa)))) | (v_A = v_Ba)) <=> (((~(v_K = v_KAB)) | (~(v_A = v_Aa)) | (~(v_NA = c_Message_Omsg_ONonce(v_NAa))) | (~(V_BO = c_Message_Omsg_ONonce(v_NB)))) | (v_A = v_Ba)))), rewrite((((~(v_K = v_KAB)) | (~(v_A = v_Aa)) | (~(v_NA = c_Message_Omsg_ONonce(v_NAa))) | (~(V_BO = c_Message_Omsg_ONonce(v_NB)))) | (v_A = v_Ba)) <=> ((v_A = v_Ba) | (~(v_K = v_KAB)) | (~(v_A = v_Aa)) | (~(v_NA = c_Message_Omsg_ONonce(v_NAa))) | (~(V_BO = c_Message_Omsg_ONonce(v_NB))))), ((((((~(V_BO = c_Message_Omsg_ONonce(v_NB))) | (~(v_K = v_KAB))) | (~(v_A = v_Aa))) | (~(v_NA = c_Message_Omsg_ONonce(v_NAa)))) | (v_A = v_Ba)) <=> ((v_A = v_Ba) | (~(v_K = v_KAB)) | (~(v_A = v_Aa)) | (~(v_NA = c_Message_Omsg_ONonce(v_NAa))) | (~(V_BO = c_Message_Omsg_ONonce(v_NB)))))), (((((((~(V_BO = c_Message_Omsg_ONonce(v_NB))) | (~(v_K = v_KAB))) | (~(v_A = v_Aa))) | (~(v_NA = c_Message_Omsg_ONonce(v_NAa)))) | (v_A = v_Ba)) | (~(V_U = c_Message_Omsg_ONonce(v_NB)))) <=> (((v_A = v_Ba) | (~(v_K = v_KAB)) | (~(v_A = v_Aa)) | (~(v_NA = c_Message_Omsg_ONonce(v_NAa))) | (~(V_BO = c_Message_Omsg_ONonce(v_NB)))) | (~(V_U = c_Message_Omsg_ONonce(v_NB)))))), rewrite((((v_A = v_Ba) | (~(v_K = v_KAB)) | (~(v_A = v_Aa)) | (~(v_NA = c_Message_Omsg_ONonce(v_NAa))) | (~(V_BO = c_Message_Omsg_ONonce(v_NB)))) | (~(V_U = c_Message_Omsg_ONonce(v_NB)))) <=> ((v_A = v_Ba) | (~(v_K = v_KAB)) | (~(v_A = v_Aa)) | (~(v_NA = c_Message_Omsg_ONonce(v_NAa))) | (~(V_U = c_Message_Omsg_ONonce(v_NB))) | (~(V_BO = c_Message_Omsg_ONonce(v_NB))))), (((((((~(V_BO = c_Message_Omsg_ONonce(v_NB))) | (~(v_K = v_KAB))) | (~(v_A = v_Aa))) | (~(v_NA = c_Message_Omsg_ONonce(v_NAa)))) | (v_A = v_Ba)) | (~(V_U = c_Message_Omsg_ONonce(v_NB)))) <=> ((v_A = v_Ba) | (~(v_K = v_KAB)) | (~(v_A = v_Aa)) | (~(v_NA = c_Message_Omsg_ONonce(v_NAa))) | (~(V_U = c_Message_Omsg_ONonce(v_NB))) | (~(V_BO = c_Message_Omsg_ONonce(v_NB)))))), ((((((((~(V_BO = c_Message_Omsg_ONonce(v_NB))) | (~(v_K = v_KAB))) | (~(v_A = v_Aa))) | (~(v_NA = c_Message_Omsg_ONonce(v_NAa)))) | (v_A = v_Ba)) | (~(V_U = c_Message_Omsg_ONonce(v_NB)))) | (~(v_B = v_Ba))) <=> (((v_A = v_Ba) | (~(v_K = v_KAB)) | (~(v_A = v_Aa)) | (~(v_NA = c_Message_Omsg_ONonce(v_NAa))) | (~(V_U = c_Message_Omsg_ONonce(v_NB))) | (~(V_BO = c_Message_Omsg_ONonce(v_NB)))) | (~(v_B = v_Ba))))), rewrite((((v_A = v_Ba) | (~(v_K = v_KAB)) | (~(v_A = v_Aa)) | (~(v_NA = c_Message_Omsg_ONonce(v_NAa))) | (~(V_U = c_Message_Omsg_ONonce(v_NB))) | (~(V_BO = c_Message_Omsg_ONonce(v_NB)))) | (~(v_B = v_Ba))) <=> ((v_A = v_Ba) | (~(v_K = v_KAB)) | (~(v_A = v_Aa)) | (~(v_NA = c_Message_Omsg_ONonce(v_NAa))) | (~(v_B = v_Ba)) | (~(V_U = c_Message_Omsg_ONonce(v_NB))) | (~(V_BO = c_Message_Omsg_ONonce(v_NB))))), ((((((((~(V_BO = c_Message_Omsg_ONonce(v_NB))) | (~(v_K = v_KAB))) | (~(v_A = v_Aa))) | (~(v_NA = c_Message_Omsg_ONonce(v_NAa)))) | (v_A = v_Ba)) | (~(V_U = c_Message_Omsg_ONonce(v_NB)))) | (~(v_B = v_Ba))) <=> ((v_A = v_Ba) | (~(v_K = v_KAB)) | (~(v_A = v_Aa)) | (~(v_NA = c_Message_Omsg_ONonce(v_NAa))) | (~(v_B = v_Ba)) | (~(V_U = c_Message_Omsg_ONonce(v_NB))) | (~(V_BO = c_Message_Omsg_ONonce(v_NB))))))),
% 0.73/0.73      inference(bind,[status(th)],[])).
% 0.73/0.73  tff(152,plain,
% 0.73/0.73      (![V_U: $i, V_BO: $i] : (((((((~(V_BO = c_Message_Omsg_ONonce(v_NB))) | (~(v_K = v_KAB))) | (~(v_A = v_Aa))) | (~(v_NA = c_Message_Omsg_ONonce(v_NAa)))) | (v_A = v_Ba)) | (~(V_U = c_Message_Omsg_ONonce(v_NB)))) | (~(v_B = v_Ba))) <=> ![V_U: $i, V_BO: $i] : ((v_A = v_Ba) | (~(v_K = v_KAB)) | (~(v_A = v_Aa)) | (~(v_NA = c_Message_Omsg_ONonce(v_NAa))) | (~(v_B = v_Ba)) | (~(V_U = c_Message_Omsg_ONonce(v_NB))) | (~(V_BO = c_Message_Omsg_ONonce(v_NB))))),
% 0.73/0.73      inference(quant_intro,[status(thm)],[151])).
% 0.73/0.73  tff(153,axiom,(![V_U: $i, V_BO: $i] : (((((((~(V_BO = c_Message_Omsg_ONonce(v_NB))) | (~(v_K = v_KAB))) | (~(v_A = v_Aa))) | (~(v_NA = c_Message_Omsg_ONonce(v_NAa)))) | (v_A = v_Ba)) | (~(V_U = c_Message_Omsg_ONonce(v_NB)))) | (~(v_B = v_Ba)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','cls_conjecture_68')).
% 0.73/0.73  tff(154,plain,
% 0.73/0.73      (![V_U: $i, V_BO: $i] : ((v_A = v_Ba) | (~(v_K = v_KAB)) | (~(v_A = v_Aa)) | (~(v_NA = c_Message_Omsg_ONonce(v_NAa))) | (~(v_B = v_Ba)) | (~(V_U = c_Message_Omsg_ONonce(v_NB))) | (~(V_BO = c_Message_Omsg_ONonce(v_NB))))),
% 0.73/0.73      inference(modus_ponens,[status(thm)],[153, 152])).
% 0.73/0.73  tff(155,plain,
% 0.73/0.73      (![V_U: $i, V_BO: $i] : ((v_A = v_Ba) | (~(v_K = v_KAB)) | (~(v_A = v_Aa)) | (~(v_NA = c_Message_Omsg_ONonce(v_NAa))) | (~(v_B = v_Ba)) | (~(V_U = c_Message_Omsg_ONonce(v_NB))) | (~(V_BO = c_Message_Omsg_ONonce(v_NB))))),
% 0.73/0.73      inference(modus_ponens,[status(thm)],[154, 150])).
% 0.73/0.73  tff(156,plain,(
% 0.73/0.73      ![V_U: $i, V_BO: $i] : ((v_A = v_Ba) | (~(v_K = v_KAB)) | (~(v_A = v_Aa)) | (~(v_NA = c_Message_Omsg_ONonce(v_NAa))) | (~(v_B = v_Ba)) | (~(V_U = c_Message_Omsg_ONonce(v_NB))) | (~(V_BO = c_Message_Omsg_ONonce(v_NB))))),
% 0.73/0.73      inference(skolemize,[status(sab)],[155])).
% 0.73/0.73  tff(157,plain,
% 0.73/0.73      (((~![V_U: $i, V_BO: $i] : ((v_A = v_Ba) | (~(v_K = v_KAB)) | (~(v_A = v_Aa)) | (~(v_NA = c_Message_Omsg_ONonce(v_NAa))) | (~(v_B = v_Ba)) | (~(V_U = c_Message_Omsg_ONonce(v_NB))) | (~(V_BO = c_Message_Omsg_ONonce(v_NB))))) | ((v_A = v_Ba) | (~(v_K = v_KAB)) | (~(v_A = v_Aa)) | (~(v_NA = c_Message_Omsg_ONonce(v_NAa))) | (~(v_B = v_Ba)))) <=> ((~![V_U: $i, V_BO: $i] : ((v_A = v_Ba) | (~(v_K = v_KAB)) | (~(v_A = v_Aa)) | (~(v_NA = c_Message_Omsg_ONonce(v_NAa))) | (~(v_B = v_Ba)) | (~(V_U = c_Message_Omsg_ONonce(v_NB))) | (~(V_BO = c_Message_Omsg_ONonce(v_NB))))) | (v_A = v_Ba) | (~(v_K = v_KAB)) | (~(v_A = v_Aa)) | (~(v_NA = c_Message_Omsg_ONonce(v_NAa))) | (~(v_B = v_Ba)))),
% 0.73/0.73      inference(rewrite,[status(thm)],[])).
% 0.73/0.73  tff(158,plain,
% 0.73/0.73      (((v_A = v_Ba) | (~(v_K = v_KAB)) | (~(v_A = v_Aa)) | (~(v_NA = c_Message_Omsg_ONonce(v_NAa))) | (~(v_B = v_Ba)) | $false | $false) <=> ((v_A = v_Ba) | (~(v_K = v_KAB)) | (~(v_A = v_Aa)) | (~(v_NA = c_Message_Omsg_ONonce(v_NAa))) | (~(v_B = v_Ba)))),
% 0.73/0.73      inference(rewrite,[status(thm)],[])).
% 0.73/0.73  tff(159,plain,
% 0.73/0.73      ((c_Message_Omsg_ONonce(v_NB) = c_Message_Omsg_ONonce(v_NB)) <=> $true),
% 0.73/0.73      inference(rewrite,[status(thm)],[])).
% 0.73/0.73  tff(160,plain,
% 0.73/0.73      ((~(c_Message_Omsg_ONonce(v_NB) = c_Message_Omsg_ONonce(v_NB))) <=> (~$true)),
% 0.73/0.73      inference(monotonicity,[status(thm)],[159])).
% 0.73/0.73  tff(161,plain,
% 0.73/0.73      ((~(c_Message_Omsg_ONonce(v_NB) = c_Message_Omsg_ONonce(v_NB))) <=> $false),
% 0.73/0.73      inference(transitivity,[status(thm)],[160, 23])).
% 0.73/0.73  tff(162,plain,
% 0.73/0.73      (((v_A = v_Ba) | (~(v_K = v_KAB)) | (~(v_A = v_Aa)) | (~(v_NA = c_Message_Omsg_ONonce(v_NAa))) | (~(v_B = v_Ba)) | (~(c_Message_Omsg_ONonce(v_NB) = c_Message_Omsg_ONonce(v_NB))) | (~(c_Message_Omsg_ONonce(v_NB) = c_Message_Omsg_ONonce(v_NB)))) <=> ((v_A = v_Ba) | (~(v_K = v_KAB)) | (~(v_A = v_Aa)) | (~(v_NA = c_Message_Omsg_ONonce(v_NAa))) | (~(v_B = v_Ba)) | $false | $false)),
% 0.73/0.73      inference(monotonicity,[status(thm)],[161, 161])).
% 0.73/0.73  tff(163,plain,
% 0.73/0.73      (((v_A = v_Ba) | (~(v_K = v_KAB)) | (~(v_A = v_Aa)) | (~(v_NA = c_Message_Omsg_ONonce(v_NAa))) | (~(v_B = v_Ba)) | (~(c_Message_Omsg_ONonce(v_NB) = c_Message_Omsg_ONonce(v_NB))) | (~(c_Message_Omsg_ONonce(v_NB) = c_Message_Omsg_ONonce(v_NB)))) <=> ((v_A = v_Ba) | (~(v_K = v_KAB)) | (~(v_A = v_Aa)) | (~(v_NA = c_Message_Omsg_ONonce(v_NAa))) | (~(v_B = v_Ba)))),
% 0.73/0.73      inference(transitivity,[status(thm)],[162, 158])).
% 0.73/0.73  tff(164,plain,
% 0.73/0.73      (((~![V_U: $i, V_BO: $i] : ((v_A = v_Ba) | (~(v_K = v_KAB)) | (~(v_A = v_Aa)) | (~(v_NA = c_Message_Omsg_ONonce(v_NAa))) | (~(v_B = v_Ba)) | (~(V_U = c_Message_Omsg_ONonce(v_NB))) | (~(V_BO = c_Message_Omsg_ONonce(v_NB))))) | ((v_A = v_Ba) | (~(v_K = v_KAB)) | (~(v_A = v_Aa)) | (~(v_NA = c_Message_Omsg_ONonce(v_NAa))) | (~(v_B = v_Ba)) | (~(c_Message_Omsg_ONonce(v_NB) = c_Message_Omsg_ONonce(v_NB))) | (~(c_Message_Omsg_ONonce(v_NB) = c_Message_Omsg_ONonce(v_NB))))) <=> ((~![V_U: $i, V_BO: $i] : ((v_A = v_Ba) | (~(v_K = v_KAB)) | (~(v_A = v_Aa)) | (~(v_NA = c_Message_Omsg_ONonce(v_NAa))) | (~(v_B = v_Ba)) | (~(V_U = c_Message_Omsg_ONonce(v_NB))) | (~(V_BO = c_Message_Omsg_ONonce(v_NB))))) | ((v_A = v_Ba) | (~(v_K = v_KAB)) | (~(v_A = v_Aa)) | (~(v_NA = c_Message_Omsg_ONonce(v_NAa))) | (~(v_B = v_Ba))))),
% 0.73/0.74      inference(monotonicity,[status(thm)],[163])).
% 0.73/0.74  tff(165,plain,
% 0.73/0.74      (((~![V_U: $i, V_BO: $i] : ((v_A = v_Ba) | (~(v_K = v_KAB)) | (~(v_A = v_Aa)) | (~(v_NA = c_Message_Omsg_ONonce(v_NAa))) | (~(v_B = v_Ba)) | (~(V_U = c_Message_Omsg_ONonce(v_NB))) | (~(V_BO = c_Message_Omsg_ONonce(v_NB))))) | ((v_A = v_Ba) | (~(v_K = v_KAB)) | (~(v_A = v_Aa)) | (~(v_NA = c_Message_Omsg_ONonce(v_NAa))) | (~(v_B = v_Ba)) | (~(c_Message_Omsg_ONonce(v_NB) = c_Message_Omsg_ONonce(v_NB))) | (~(c_Message_Omsg_ONonce(v_NB) = c_Message_Omsg_ONonce(v_NB))))) <=> ((~![V_U: $i, V_BO: $i] : ((v_A = v_Ba) | (~(v_K = v_KAB)) | (~(v_A = v_Aa)) | (~(v_NA = c_Message_Omsg_ONonce(v_NAa))) | (~(v_B = v_Ba)) | (~(V_U = c_Message_Omsg_ONonce(v_NB))) | (~(V_BO = c_Message_Omsg_ONonce(v_NB))))) | (v_A = v_Ba) | (~(v_K = v_KAB)) | (~(v_A = v_Aa)) | (~(v_NA = c_Message_Omsg_ONonce(v_NAa))) | (~(v_B = v_Ba)))),
% 0.73/0.74      inference(transitivity,[status(thm)],[164, 157])).
% 0.73/0.74  tff(166,plain,
% 0.73/0.74      ((~![V_U: $i, V_BO: $i] : ((v_A = v_Ba) | (~(v_K = v_KAB)) | (~(v_A = v_Aa)) | (~(v_NA = c_Message_Omsg_ONonce(v_NAa))) | (~(v_B = v_Ba)) | (~(V_U = c_Message_Omsg_ONonce(v_NB))) | (~(V_BO = c_Message_Omsg_ONonce(v_NB))))) | ((v_A = v_Ba) | (~(v_K = v_KAB)) | (~(v_A = v_Aa)) | (~(v_NA = c_Message_Omsg_ONonce(v_NAa))) | (~(v_B = v_Ba)) | (~(c_Message_Omsg_ONonce(v_NB) = c_Message_Omsg_ONonce(v_NB))) | (~(c_Message_Omsg_ONonce(v_NB) = c_Message_Omsg_ONonce(v_NB))))),
% 0.73/0.74      inference(quant_inst,[status(thm)],[])).
% 0.73/0.74  tff(167,plain,
% 0.73/0.74      ((~![V_U: $i, V_BO: $i] : ((v_A = v_Ba) | (~(v_K = v_KAB)) | (~(v_A = v_Aa)) | (~(v_NA = c_Message_Omsg_ONonce(v_NAa))) | (~(v_B = v_Ba)) | (~(V_U = c_Message_Omsg_ONonce(v_NB))) | (~(V_BO = c_Message_Omsg_ONonce(v_NB))))) | (v_A = v_Ba) | (~(v_K = v_KAB)) | (~(v_A = v_Aa)) | (~(v_NA = c_Message_Omsg_ONonce(v_NAa))) | (~(v_B = v_Ba))),
% 0.73/0.74      inference(modus_ponens,[status(thm)],[166, 165])).
% 0.73/0.74  tff(168,plain,
% 0.73/0.74      ((v_A = v_Ba) | (~(v_A = v_Aa)) | (~(v_NA = c_Message_Omsg_ONonce(v_NAa))) | (~(v_B = v_Ba))),
% 0.73/0.74      inference(unit_resolution,[status(thm)],[167, 49, 156])).
% 0.73/0.74  tff(169,plain,
% 0.73/0.74      (~(v_B = v_Ba)),
% 0.73/0.74      inference(unit_resolution,[status(thm)],[168, 98, 72, 56])).
% 0.73/0.74  tff(170,plain,
% 0.73/0.74      (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_NB), 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_NB), 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)),
% 0.73/0.74      inference(rewrite,[status(thm)],[])).
% 0.73/0.74  tff(171,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_NB), 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/sandbox2/benchmark/theBenchmark.p','cls_conjecture_3')).
% 0.73/0.74  tff(172,plain,
% 0.73/0.74      (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_NB), 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)),
% 0.73/0.74      inference(modus_ponens,[status(thm)],[171, 170])).
% 0.73/0.74  tff(173,plain,
% 0.73/0.74      (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))),
% 0.73/0.74      inference(rewrite,[status(thm)],[])).
% 0.73/0.74  tff(174,axiom,(c_in(v_evs3, c_OtwayRees_Ootway, tc_List_Olist(tc_Event_Oevent))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','cls_conjecture_1')).
% 0.73/0.74  tff(175,plain,
% 0.73/0.74      (c_in(v_evs3, c_OtwayRees_Ootway, tc_List_Olist(tc_Event_Oevent))),
% 0.73/0.74      inference(modus_ponens,[status(thm)],[174, 173])).
% 0.73/0.74  tff(176,plain,
% 0.73/0.74      (^[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)))))),
% 0.73/0.74      inference(bind,[status(th)],[])).
% 0.73/0.74  tff(177,plain,
% 0.73/0.74      (![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))))),
% 0.73/0.74      inference(quant_intro,[status(thm)],[176])).
% 0.73/0.74  tff(178,plain,
% 0.73/0.74      (![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))))),
% 0.73/0.74      inference(rewrite,[status(thm)],[])).
% 0.73/0.74  tff(179,plain,
% 0.73/0.74      (^[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))))))),
% 0.73/0.74      inference(bind,[status(th)],[])).
% 0.73/0.74  tff(180,plain,
% 0.73/0.74      (![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))))),
% 0.73/0.74      inference(quant_intro,[status(thm)],[179])).
% 0.73/0.74  tff(181,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/sandbox2/benchmark/theBenchmark.p','cls_OtwayRees_OGets__imp__Says__dest_0')).
% 0.73/0.74  tff(182,plain,
% 0.73/0.74      (![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))))),
% 0.73/0.74      inference(modus_ponens,[status(thm)],[181, 180])).
% 0.73/0.74  tff(183,plain,
% 0.73/0.74      (![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))))),
% 0.73/0.74      inference(modus_ponens,[status(thm)],[182, 178])).
% 0.73/0.74  tff(184,plain,(
% 0.73/0.74      ![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))))),
% 0.73/0.74      inference(skolemize,[status(sab)],[183])).
% 0.73/0.74  tff(185,plain,
% 0.73/0.74      (![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))))),
% 0.73/0.74      inference(modus_ponens,[status(thm)],[184, 177])).
% 0.73/0.74  tff(186,plain,
% 0.73/0.74      (((~![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_NB), 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_NB), 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_NB), 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_NB), 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_NB), 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_NB), 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))))),
% 0.73/0.74      inference(rewrite,[status(thm)],[])).
% 0.73/0.74  tff(187,plain,
% 0.73/0.74      ((~![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_NB), 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_NB), 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_NB), 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))))),
% 0.73/0.74      inference(quant_inst,[status(thm)],[])).
% 0.73/0.74  tff(188,plain,
% 0.73/0.74      ((~![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_NB), 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_NB), 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_NB), 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)))),
% 0.73/0.74      inference(modus_ponens,[status(thm)],[187, 186])).
% 0.73/0.74  tff(189,plain,
% 0.73/0.74      (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_NB), 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_NB), 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)),
% 0.73/0.74      inference(unit_resolution,[status(thm)],[188, 185, 175, 172])).
% 0.73/0.74  tff(190,plain,
% 0.73/0.74      (((~![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_NB), 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_NB), 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_NB), 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_NB), 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_NB), 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_NB), 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))),
% 0.73/0.74      inference(rewrite,[status(thm)],[])).
% 0.73/0.74  tff(191,plain,
% 0.73/0.74      ((~![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_NB), 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_NB), 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_NB), 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))),
% 0.73/0.74      inference(quant_inst,[status(thm)],[])).
% 0.73/0.74  tff(192,plain,
% 0.73/0.74      ((~![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_NB), 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_NB), 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_NB), 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)),
% 0.73/0.75      inference(modus_ponens,[status(thm)],[191, 190])).
% 0.73/0.75  tff(193,plain,
% 0.73/0.75      (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_NB), 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)),
% 0.73/0.75      inference(unit_resolution,[status(thm)],[192, 114, 189])).
% 0.73/0.75  tff(194,plain,
% 0.73/0.75      (((~![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_NB), 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_NB), 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_NB), 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_NB), 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))),
% 0.73/0.75      inference(rewrite,[status(thm)],[])).
% 0.73/0.75  tff(195,plain,
% 0.73/0.75      ((~![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_NB), 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_NB), 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))),
% 0.73/0.75      inference(quant_inst,[status(thm)],[])).
% 0.73/0.75  tff(196,plain,
% 0.73/0.75      ((~![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_NB), 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_NB), 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)),
% 0.73/0.75      inference(modus_ponens,[status(thm)],[195, 194])).
% 0.73/0.75  tff(197,plain,
% 0.73/0.75      (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_NB), 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)),
% 0.73/0.75      inference(unit_resolution,[status(thm)],[196, 125, 193])).
% 0.73/0.75  tff(198,plain,
% 0.73/0.75      (((~![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_NB), 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_NB), 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_NB), 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_NB), 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))),
% 0.73/0.75      inference(rewrite,[status(thm)],[])).
% 0.73/0.75  tff(199,plain,
% 0.73/0.75      ((~![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_NB), 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_NB), 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))),
% 0.73/0.75      inference(quant_inst,[status(thm)],[])).
% 0.73/0.75  tff(200,plain,
% 0.73/0.75      ((~![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_NB), 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_NB), 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)),
% 0.73/0.75      inference(modus_ponens,[status(thm)],[199, 198])).
% 0.73/0.75  tff(201,plain,
% 0.73/0.75      (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_NB), 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)),
% 0.73/0.75      inference(unit_resolution,[status(thm)],[200, 125, 197])).
% 0.73/0.75  tff(202,plain,
% 0.73/0.75      (((~![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_NB), 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_NB), 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_NB), 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_NB), 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))),
% 0.73/0.75      inference(rewrite,[status(thm)],[])).
% 0.73/0.75  tff(203,plain,
% 0.73/0.75      ((~![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_NB), 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_NB), 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))),
% 0.73/0.75      inference(quant_inst,[status(thm)],[])).
% 0.73/0.75  tff(204,plain,
% 0.73/0.75      ((~![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_NB), 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_NB), 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)),
% 0.73/0.75      inference(modus_ponens,[status(thm)],[203, 202])).
% 0.73/0.75  tff(205,plain,
% 0.73/0.75      (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_NB), 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)),
% 0.73/0.75      inference(unit_resolution,[status(thm)],[204, 125, 201])).
% 0.73/0.75  tff(206,plain,
% 0.73/0.75      (^[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_X, 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_X, c_Message_Oanalz(V_H), tc_Message_Omsg)))),
% 0.73/0.75      inference(bind,[status(th)],[])).
% 0.73/0.75  tff(207,plain,
% 0.73/0.75      (![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_X, 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_X, c_Message_Oanalz(V_H), tc_Message_Omsg))),
% 0.73/0.75      inference(quant_intro,[status(thm)],[206])).
% 0.73/0.75  tff(208,plain,
% 0.73/0.75      (![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_X, 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_X, c_Message_Oanalz(V_H), tc_Message_Omsg))),
% 0.73/0.75      inference(rewrite,[status(thm)],[])).
% 0.73/0.75  tff(209,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_X, c_Message_Oanalz(V_H), tc_Message_Omsg))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','cls_Message_OMPair__analz_1')).
% 0.73/0.75  tff(210,plain,
% 0.73/0.75      (![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_X, c_Message_Oanalz(V_H), tc_Message_Omsg))),
% 0.73/0.75      inference(modus_ponens,[status(thm)],[209, 208])).
% 0.73/0.75  tff(211,plain,(
% 0.73/0.75      ![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_X, c_Message_Oanalz(V_H), tc_Message_Omsg))),
% 0.73/0.75      inference(skolemize,[status(sab)],[210])).
% 0.73/0.75  tff(212,plain,
% 0.73/0.75      (![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_X, c_Message_Oanalz(V_H), tc_Message_Omsg))),
% 0.73/0.75      inference(modus_ponens,[status(thm)],[211, 207])).
% 0.73/0.75  tff(213,plain,
% 0.73/0.75      (((~![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_X, 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_NB), 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_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_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_X, 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_NB), 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_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_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy, v_evs3)), tc_Message_Omsg))),
% 0.73/0.75      inference(rewrite,[status(thm)],[])).
% 0.73/0.75  tff(214,plain,
% 0.73/0.75      ((~![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_X, 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_NB), 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_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_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy, v_evs3)), tc_Message_Omsg))),
% 0.73/0.75      inference(quant_inst,[status(thm)],[])).
% 0.73/0.75  tff(215,plain,
% 0.73/0.75      ((~![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_X, 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_NB), 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_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_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy, v_evs3)), tc_Message_Omsg)),
% 0.73/0.75      inference(modus_ponens,[status(thm)],[214, 213])).
% 0.73/0.75  tff(216,plain,
% 0.73/0.75      (c_in(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_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy, v_evs3)), tc_Message_Omsg)),
% 0.73/0.75      inference(unit_resolution,[status(thm)],[215, 212, 205])).
% 0.73/0.75  tff(217,plain,
% 0.73/0.75      (((~![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_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_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy, v_evs3)), tc_Message_Omsg)) | c_in(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_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_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_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy, v_evs3)), tc_Message_Omsg)) | c_in(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_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy, v_evs3)), tc_Message_Omsg))),
% 0.73/0.75      inference(rewrite,[status(thm)],[])).
% 0.73/0.75  tff(218,plain,
% 0.73/0.75      ((~![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_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_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy, v_evs3)), tc_Message_Omsg)) | c_in(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_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy, v_evs3)), tc_Message_Omsg))),
% 0.73/0.75      inference(quant_inst,[status(thm)],[])).
% 0.73/0.75  tff(219,plain,
% 0.73/0.75      ((~![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_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_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy, v_evs3)), tc_Message_Omsg)) | c_in(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_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy, v_evs3)), tc_Message_Omsg)),
% 0.73/0.75      inference(modus_ponens,[status(thm)],[218, 217])).
% 0.73/0.75  tff(220,plain,
% 0.73/0.75      (c_in(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_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy, v_evs3)), tc_Message_Omsg)),
% 0.73/0.75      inference(unit_resolution,[status(thm)],[219, 144, 216])).
% 0.73/0.75  tff(221,plain,
% 0.73/0.75      (^[V_NA: $i, V_B: $i, V_A: $i, V_C: $i, V_evs: $i] : refl(((~c_in(V_evs, c_OtwayRees_Ootway, tc_List_Olist(tc_Event_Oevent))) | (V_B = V_C) | c_in(V_A, c_Event_Obad, tc_Message_Oagent) | (~c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(V_A), c_Message_Omsg_OMPair(V_NA, 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(c_Message_Omsg_OCrypt(c_Public_OshrK(V_A), c_Message_Omsg_OMPair(V_NA, c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(V_A), c_Message_Omsg_OAgent(V_C)))), 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_B = V_C) | c_in(V_A, c_Event_Obad, tc_Message_Oagent) | (~c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(V_A), c_Message_Omsg_OMPair(V_NA, 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(c_Message_Omsg_OCrypt(c_Public_OshrK(V_A), c_Message_Omsg_OMPair(V_NA, c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(V_A), c_Message_Omsg_OAgent(V_C)))), c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy, V_evs)), tc_Message_Omsg))))),
% 0.73/0.75      inference(bind,[status(th)],[])).
% 0.73/0.75  tff(222,plain,
% 0.73/0.75      (![V_NA: $i, V_B: $i, V_A: $i, V_C: $i, V_evs: $i] : ((~c_in(V_evs, c_OtwayRees_Ootway, tc_List_Olist(tc_Event_Oevent))) | (V_B = V_C) | c_in(V_A, c_Event_Obad, tc_Message_Oagent) | (~c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(V_A), c_Message_Omsg_OMPair(V_NA, 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(c_Message_Omsg_OCrypt(c_Public_OshrK(V_A), c_Message_Omsg_OMPair(V_NA, c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(V_A), c_Message_Omsg_OAgent(V_C)))), c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy, V_evs)), tc_Message_Omsg))) <=> ![V_NA: $i, V_B: $i, V_A: $i, V_C: $i, V_evs: $i] : ((~c_in(V_evs, c_OtwayRees_Ootway, tc_List_Olist(tc_Event_Oevent))) | (V_B = V_C) | c_in(V_A, c_Event_Obad, tc_Message_Oagent) | (~c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(V_A), c_Message_Omsg_OMPair(V_NA, 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(c_Message_Omsg_OCrypt(c_Public_OshrK(V_A), c_Message_Omsg_OMPair(V_NA, c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(V_A), c_Message_Omsg_OAgent(V_C)))), c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy, V_evs)), tc_Message_Omsg)))),
% 0.73/0.75      inference(quant_intro,[status(thm)],[221])).
% 0.73/0.75  tff(223,plain,
% 0.73/0.75      (![V_NA: $i, V_B: $i, V_A: $i, V_C: $i, V_evs: $i] : ((~c_in(V_evs, c_OtwayRees_Ootway, tc_List_Olist(tc_Event_Oevent))) | (V_B = V_C) | c_in(V_A, c_Event_Obad, tc_Message_Oagent) | (~c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(V_A), c_Message_Omsg_OMPair(V_NA, 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(c_Message_Omsg_OCrypt(c_Public_OshrK(V_A), c_Message_Omsg_OMPair(V_NA, c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(V_A), c_Message_Omsg_OAgent(V_C)))), c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy, V_evs)), tc_Message_Omsg))) <=> ![V_NA: $i, V_B: $i, V_A: $i, V_C: $i, V_evs: $i] : ((~c_in(V_evs, c_OtwayRees_Ootway, tc_List_Olist(tc_Event_Oevent))) | (V_B = V_C) | c_in(V_A, c_Event_Obad, tc_Message_Oagent) | (~c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(V_A), c_Message_Omsg_OMPair(V_NA, 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(c_Message_Omsg_OCrypt(c_Public_OshrK(V_A), c_Message_Omsg_OMPair(V_NA, c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(V_A), c_Message_Omsg_OAgent(V_C)))), c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy, V_evs)), tc_Message_Omsg)))),
% 0.73/0.75      inference(rewrite,[status(thm)],[])).
% 0.73/0.75  tff(224,plain,
% 0.73/0.75      (^[V_NA: $i, V_B: $i, V_A: $i, V_C: $i, V_evs: $i] : trans(monotonicity(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_A), c_Message_Omsg_OMPair(V_NA, c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(V_A), c_Message_Omsg_OAgent(V_C)))), c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy, V_evs)), tc_Message_Omsg))) | (~c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(V_A), c_Message_Omsg_OMPair(V_NA, 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_Message_Omsg_OCrypt(c_Public_OshrK(V_A), c_Message_Omsg_OMPair(V_NA, 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(c_Message_Omsg_OCrypt(c_Public_OshrK(V_A), c_Message_Omsg_OMPair(V_NA, c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(V_A), c_Message_Omsg_OAgent(V_C)))), 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_Message_Omsg_OCrypt(c_Public_OshrK(V_A), c_Message_Omsg_OMPair(V_NA, c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(V_A), c_Message_Omsg_OAgent(V_C)))), c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy, V_evs)), tc_Message_Omsg))) | (~c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(V_A), c_Message_Omsg_OMPair(V_NA, 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_A, c_Event_Obad, tc_Message_Oagent)) <=> (((~c_in(V_evs, c_OtwayRees_Ootway, tc_List_Olist(tc_Event_Oevent))) | (~c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(V_A), c_Message_Omsg_OMPair(V_NA, 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(c_Message_Omsg_OCrypt(c_Public_OshrK(V_A), c_Message_Omsg_OMPair(V_NA, c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(V_A), c_Message_Omsg_OAgent(V_C)))), c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy, V_evs)), tc_Message_Omsg))) | c_in(V_A, c_Event_Obad, tc_Message_Oagent)))), rewrite((((~c_in(V_evs, c_OtwayRees_Ootway, tc_List_Olist(tc_Event_Oevent))) | (~c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(V_A), c_Message_Omsg_OMPair(V_NA, 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(c_Message_Omsg_OCrypt(c_Public_OshrK(V_A), c_Message_Omsg_OMPair(V_NA, c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(V_A), c_Message_Omsg_OAgent(V_C)))), c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy, V_evs)), tc_Message_Omsg))) | c_in(V_A, c_Event_Obad, tc_Message_Oagent)) <=> ((~c_in(V_evs, c_OtwayRees_Ootway, tc_List_Olist(tc_Event_Oevent))) | c_in(V_A, c_Event_Obad, tc_Message_Oagent) | (~c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(V_A), c_Message_Omsg_OMPair(V_NA, 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(c_Message_Omsg_OCrypt(c_Public_OshrK(V_A), c_Message_Omsg_OMPair(V_NA, c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(V_A), c_Message_Omsg_OAgent(V_C)))), 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_Message_Omsg_OCrypt(c_Public_OshrK(V_A), c_Message_Omsg_OMPair(V_NA, c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(V_A), c_Message_Omsg_OAgent(V_C)))), c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy, V_evs)), tc_Message_Omsg))) | (~c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(V_A), c_Message_Omsg_OMPair(V_NA, 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_A, c_Event_Obad, tc_Message_Oagent)) <=> ((~c_in(V_evs, c_OtwayRees_Ootway, tc_List_Olist(tc_Event_Oevent))) | c_in(V_A, c_Event_Obad, tc_Message_Oagent) | (~c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(V_A), c_Message_Omsg_OMPair(V_NA, 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(c_Message_Omsg_OCrypt(c_Public_OshrK(V_A), c_Message_Omsg_OMPair(V_NA, c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(V_A), c_Message_Omsg_OAgent(V_C)))), 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_Message_Omsg_OCrypt(c_Public_OshrK(V_A), c_Message_Omsg_OMPair(V_NA, c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(V_A), c_Message_Omsg_OAgent(V_C)))), c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy, V_evs)), tc_Message_Omsg))) | (~c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(V_A), c_Message_Omsg_OMPair(V_NA, 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_A, c_Event_Obad, tc_Message_Oagent)) | (V_B = V_C)) <=> (((~c_in(V_evs, c_OtwayRees_Ootway, tc_List_Olist(tc_Event_Oevent))) | c_in(V_A, c_Event_Obad, tc_Message_Oagent) | (~c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(V_A), c_Message_Omsg_OMPair(V_NA, 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(c_Message_Omsg_OCrypt(c_Public_OshrK(V_A), c_Message_Omsg_OMPair(V_NA, c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(V_A), c_Message_Omsg_OAgent(V_C)))), c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy, V_evs)), tc_Message_Omsg))) | (V_B = V_C)))), rewrite((((~c_in(V_evs, c_OtwayRees_Ootway, tc_List_Olist(tc_Event_Oevent))) | c_in(V_A, c_Event_Obad, tc_Message_Oagent) | (~c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(V_A), c_Message_Omsg_OMPair(V_NA, 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(c_Message_Omsg_OCrypt(c_Public_OshrK(V_A), c_Message_Omsg_OMPair(V_NA, c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(V_A), c_Message_Omsg_OAgent(V_C)))), c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy, V_evs)), tc_Message_Omsg))) | (V_B = V_C)) <=> ((~c_in(V_evs, c_OtwayRees_Ootway, tc_List_Olist(tc_Event_Oevent))) | (V_B = V_C) | c_in(V_A, c_Event_Obad, tc_Message_Oagent) | (~c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(V_A), c_Message_Omsg_OMPair(V_NA, 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(c_Message_Omsg_OCrypt(c_Public_OshrK(V_A), c_Message_Omsg_OMPair(V_NA, c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(V_A), c_Message_Omsg_OAgent(V_C)))), 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_Message_Omsg_OCrypt(c_Public_OshrK(V_A), c_Message_Omsg_OMPair(V_NA, c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(V_A), c_Message_Omsg_OAgent(V_C)))), c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy, V_evs)), tc_Message_Omsg))) | (~c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(V_A), c_Message_Omsg_OMPair(V_NA, 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_A, c_Event_Obad, tc_Message_Oagent)) | (V_B = V_C)) <=> ((~c_in(V_evs, c_OtwayRees_Ootway, tc_List_Olist(tc_Event_Oevent))) | (V_B = V_C) | c_in(V_A, c_Event_Obad, tc_Message_Oagent) | (~c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(V_A), c_Message_Omsg_OMPair(V_NA, 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(c_Message_Omsg_OCrypt(c_Public_OshrK(V_A), c_Message_Omsg_OMPair(V_NA, c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(V_A), c_Message_Omsg_OAgent(V_C)))), c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy, V_evs)), tc_Message_Omsg)))))),
% 0.73/0.76      inference(bind,[status(th)],[])).
% 0.73/0.76  tff(225,plain,
% 0.73/0.76      (![V_NA: $i, V_B: $i, V_A: $i, V_C: $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_A), c_Message_Omsg_OMPair(V_NA, c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(V_A), c_Message_Omsg_OAgent(V_C)))), c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy, V_evs)), tc_Message_Omsg))) | (~c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(V_A), c_Message_Omsg_OMPair(V_NA, 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_A, c_Event_Obad, tc_Message_Oagent)) | (V_B = V_C)) <=> ![V_NA: $i, V_B: $i, V_A: $i, V_C: $i, V_evs: $i] : ((~c_in(V_evs, c_OtwayRees_Ootway, tc_List_Olist(tc_Event_Oevent))) | (V_B = V_C) | c_in(V_A, c_Event_Obad, tc_Message_Oagent) | (~c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(V_A), c_Message_Omsg_OMPair(V_NA, 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(c_Message_Omsg_OCrypt(c_Public_OshrK(V_A), c_Message_Omsg_OMPair(V_NA, c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(V_A), c_Message_Omsg_OAgent(V_C)))), c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy, V_evs)), tc_Message_Omsg)))),
% 0.73/0.76      inference(quant_intro,[status(thm)],[224])).
% 0.73/0.76  tff(226,axiom,(![V_NA: $i, V_B: $i, V_A: $i, V_C: $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_A), c_Message_Omsg_OMPair(V_NA, c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(V_A), c_Message_Omsg_OAgent(V_C)))), c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy, V_evs)), tc_Message_Omsg))) | (~c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(V_A), c_Message_Omsg_OMPair(V_NA, 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_A, c_Event_Obad, tc_Message_Oagent)) | (V_B = V_C))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','cls_OtwayRees_Ounique__NA__dest_0')).
% 0.80/0.76  tff(227,plain,
% 0.80/0.76      (![V_NA: $i, V_B: $i, V_A: $i, V_C: $i, V_evs: $i] : ((~c_in(V_evs, c_OtwayRees_Ootway, tc_List_Olist(tc_Event_Oevent))) | (V_B = V_C) | c_in(V_A, c_Event_Obad, tc_Message_Oagent) | (~c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(V_A), c_Message_Omsg_OMPair(V_NA, 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(c_Message_Omsg_OCrypt(c_Public_OshrK(V_A), c_Message_Omsg_OMPair(V_NA, c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(V_A), c_Message_Omsg_OAgent(V_C)))), c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy, V_evs)), tc_Message_Omsg)))),
% 0.80/0.76      inference(modus_ponens,[status(thm)],[226, 225])).
% 0.80/0.76  tff(228,plain,
% 0.80/0.76      (![V_NA: $i, V_B: $i, V_A: $i, V_C: $i, V_evs: $i] : ((~c_in(V_evs, c_OtwayRees_Ootway, tc_List_Olist(tc_Event_Oevent))) | (V_B = V_C) | c_in(V_A, c_Event_Obad, tc_Message_Oagent) | (~c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(V_A), c_Message_Omsg_OMPair(V_NA, 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(c_Message_Omsg_OCrypt(c_Public_OshrK(V_A), c_Message_Omsg_OMPair(V_NA, c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(V_A), c_Message_Omsg_OAgent(V_C)))), c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy, V_evs)), tc_Message_Omsg)))),
% 0.80/0.76      inference(modus_ponens,[status(thm)],[227, 223])).
% 0.80/0.76  tff(229,plain,(
% 0.80/0.76      ![V_NA: $i, V_B: $i, V_A: $i, V_C: $i, V_evs: $i] : ((~c_in(V_evs, c_OtwayRees_Ootway, tc_List_Olist(tc_Event_Oevent))) | (V_B = V_C) | c_in(V_A, c_Event_Obad, tc_Message_Oagent) | (~c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(V_A), c_Message_Omsg_OMPair(V_NA, 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(c_Message_Omsg_OCrypt(c_Public_OshrK(V_A), c_Message_Omsg_OMPair(V_NA, c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(V_A), c_Message_Omsg_OAgent(V_C)))), c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy, V_evs)), tc_Message_Omsg)))),
% 0.80/0.76      inference(skolemize,[status(sab)],[228])).
% 0.80/0.76  tff(230,plain,
% 0.80/0.76      (![V_NA: $i, V_B: $i, V_A: $i, V_C: $i, V_evs: $i] : ((~c_in(V_evs, c_OtwayRees_Ootway, tc_List_Olist(tc_Event_Oevent))) | (V_B = V_C) | c_in(V_A, c_Event_Obad, tc_Message_Oagent) | (~c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(V_A), c_Message_Omsg_OMPair(V_NA, 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(c_Message_Omsg_OCrypt(c_Public_OshrK(V_A), c_Message_Omsg_OMPair(V_NA, c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(V_A), c_Message_Omsg_OAgent(V_C)))), c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy, V_evs)), tc_Message_Omsg)))),
% 0.80/0.76      inference(modus_ponens,[status(thm)],[229, 222])).
% 0.80/0.76  tff(231,plain,
% 0.80/0.76      (((~![V_NA: $i, V_B: $i, V_A: $i, V_C: $i, V_evs: $i] : ((~c_in(V_evs, c_OtwayRees_Ootway, tc_List_Olist(tc_Event_Oevent))) | (V_B = V_C) | c_in(V_A, c_Event_Obad, tc_Message_Oagent) | (~c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(V_A), c_Message_Omsg_OMPair(V_NA, 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(c_Message_Omsg_OCrypt(c_Public_OshrK(V_A), c_Message_Omsg_OMPair(V_NA, c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(V_A), c_Message_Omsg_OAgent(V_C)))), c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy, V_evs)), tc_Message_Omsg)))) | ((v_B = v_Ba) | (~c_in(v_evs3, c_OtwayRees_Ootway, tc_List_Olist(tc_Event_Oevent))) | (~c_in(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_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy, v_evs3)), tc_Message_Omsg)) | c_in(v_Aa, c_Event_Obad, tc_Message_Oagent) | (~c_in(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_B)))), c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy, v_evs3)), tc_Message_Omsg)))) <=> ((~![V_NA: $i, V_B: $i, V_A: $i, V_C: $i, V_evs: $i] : ((~c_in(V_evs, c_OtwayRees_Ootway, tc_List_Olist(tc_Event_Oevent))) | (V_B = V_C) | c_in(V_A, c_Event_Obad, tc_Message_Oagent) | (~c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(V_A), c_Message_Omsg_OMPair(V_NA, 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(c_Message_Omsg_OCrypt(c_Public_OshrK(V_A), c_Message_Omsg_OMPair(V_NA, c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(V_A), c_Message_Omsg_OAgent(V_C)))), c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy, V_evs)), tc_Message_Omsg)))) | (v_B = v_Ba) | (~c_in(v_evs3, c_OtwayRees_Ootway, tc_List_Olist(tc_Event_Oevent))) | (~c_in(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_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy, v_evs3)), tc_Message_Omsg)) | c_in(v_Aa, c_Event_Obad, tc_Message_Oagent) | (~c_in(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_B)))), c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy, v_evs3)), tc_Message_Omsg)))),
% 0.80/0.76      inference(rewrite,[status(thm)],[])).
% 0.80/0.76  tff(232,plain,
% 0.80/0.76      (((~c_in(v_evs3, c_OtwayRees_Ootway, tc_List_Olist(tc_Event_Oevent))) | (v_B = v_Ba) | c_in(v_Aa, c_Event_Obad, tc_Message_Oagent) | (~c_in(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_B)))), c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy, v_evs3)), tc_Message_Omsg)) | (~c_in(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_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy, v_evs3)), tc_Message_Omsg))) <=> ((v_B = v_Ba) | (~c_in(v_evs3, c_OtwayRees_Ootway, tc_List_Olist(tc_Event_Oevent))) | (~c_in(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_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy, v_evs3)), tc_Message_Omsg)) | c_in(v_Aa, c_Event_Obad, tc_Message_Oagent) | (~c_in(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_B)))), c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy, v_evs3)), tc_Message_Omsg)))),
% 0.80/0.76      inference(rewrite,[status(thm)],[])).
% 0.80/0.76  tff(233,plain,
% 0.80/0.76      (((~![V_NA: $i, V_B: $i, V_A: $i, V_C: $i, V_evs: $i] : ((~c_in(V_evs, c_OtwayRees_Ootway, tc_List_Olist(tc_Event_Oevent))) | (V_B = V_C) | c_in(V_A, c_Event_Obad, tc_Message_Oagent) | (~c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(V_A), c_Message_Omsg_OMPair(V_NA, 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(c_Message_Omsg_OCrypt(c_Public_OshrK(V_A), c_Message_Omsg_OMPair(V_NA, c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(V_A), c_Message_Omsg_OAgent(V_C)))), c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy, V_evs)), tc_Message_Omsg)))) | ((~c_in(v_evs3, c_OtwayRees_Ootway, tc_List_Olist(tc_Event_Oevent))) | (v_B = v_Ba) | c_in(v_Aa, c_Event_Obad, tc_Message_Oagent) | (~c_in(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_B)))), c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy, v_evs3)), tc_Message_Omsg)) | (~c_in(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_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy, v_evs3)), tc_Message_Omsg)))) <=> ((~![V_NA: $i, V_B: $i, V_A: $i, V_C: $i, V_evs: $i] : ((~c_in(V_evs, c_OtwayRees_Ootway, tc_List_Olist(tc_Event_Oevent))) | (V_B = V_C) | c_in(V_A, c_Event_Obad, tc_Message_Oagent) | (~c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(V_A), c_Message_Omsg_OMPair(V_NA, 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(c_Message_Omsg_OCrypt(c_Public_OshrK(V_A), c_Message_Omsg_OMPair(V_NA, c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(V_A), c_Message_Omsg_OAgent(V_C)))), c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy, V_evs)), tc_Message_Omsg)))) | ((v_B = v_Ba) | (~c_in(v_evs3, c_OtwayRees_Ootway, tc_List_Olist(tc_Event_Oevent))) | (~c_in(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_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy, v_evs3)), tc_Message_Omsg)) | c_in(v_Aa, c_Event_Obad, tc_Message_Oagent) | (~c_in(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_B)))), c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy, v_evs3)), tc_Message_Omsg))))),
% 0.80/0.76      inference(monotonicity,[status(thm)],[232])).
% 0.80/0.76  tff(234,plain,
% 0.80/0.76      (((~![V_NA: $i, V_B: $i, V_A: $i, V_C: $i, V_evs: $i] : ((~c_in(V_evs, c_OtwayRees_Ootway, tc_List_Olist(tc_Event_Oevent))) | (V_B = V_C) | c_in(V_A, c_Event_Obad, tc_Message_Oagent) | (~c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(V_A), c_Message_Omsg_OMPair(V_NA, 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(c_Message_Omsg_OCrypt(c_Public_OshrK(V_A), c_Message_Omsg_OMPair(V_NA, c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(V_A), c_Message_Omsg_OAgent(V_C)))), c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy, V_evs)), tc_Message_Omsg)))) | ((~c_in(v_evs3, c_OtwayRees_Ootway, tc_List_Olist(tc_Event_Oevent))) | (v_B = v_Ba) | c_in(v_Aa, c_Event_Obad, tc_Message_Oagent) | (~c_in(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_B)))), c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy, v_evs3)), tc_Message_Omsg)) | (~c_in(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_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy, v_evs3)), tc_Message_Omsg)))) <=> ((~![V_NA: $i, V_B: $i, V_A: $i, V_C: $i, V_evs: $i] : ((~c_in(V_evs, c_OtwayRees_Ootway, tc_List_Olist(tc_Event_Oevent))) | (V_B = V_C) | c_in(V_A, c_Event_Obad, tc_Message_Oagent) | (~c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(V_A), c_Message_Omsg_OMPair(V_NA, 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(c_Message_Omsg_OCrypt(c_Public_OshrK(V_A), c_Message_Omsg_OMPair(V_NA, c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(V_A), c_Message_Omsg_OAgent(V_C)))), c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy, V_evs)), tc_Message_Omsg)))) | (v_B = v_Ba) | (~c_in(v_evs3, c_OtwayRees_Ootway, tc_List_Olist(tc_Event_Oevent))) | (~c_in(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_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy, v_evs3)), tc_Message_Omsg)) | c_in(v_Aa, c_Event_Obad, tc_Message_Oagent) | (~c_in(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_B)))), c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy, v_evs3)), tc_Message_Omsg)))),
% 0.80/0.76      inference(transitivity,[status(thm)],[233, 231])).
% 0.80/0.76  tff(235,plain,
% 0.80/0.76      ((~![V_NA: $i, V_B: $i, V_A: $i, V_C: $i, V_evs: $i] : ((~c_in(V_evs, c_OtwayRees_Ootway, tc_List_Olist(tc_Event_Oevent))) | (V_B = V_C) | c_in(V_A, c_Event_Obad, tc_Message_Oagent) | (~c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(V_A), c_Message_Omsg_OMPair(V_NA, 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(c_Message_Omsg_OCrypt(c_Public_OshrK(V_A), c_Message_Omsg_OMPair(V_NA, c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(V_A), c_Message_Omsg_OAgent(V_C)))), c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy, V_evs)), tc_Message_Omsg)))) | ((~c_in(v_evs3, c_OtwayRees_Ootway, tc_List_Olist(tc_Event_Oevent))) | (v_B = v_Ba) | c_in(v_Aa, c_Event_Obad, tc_Message_Oagent) | (~c_in(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_B)))), c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy, v_evs3)), tc_Message_Omsg)) | (~c_in(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_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy, v_evs3)), tc_Message_Omsg)))),
% 0.80/0.76      inference(quant_inst,[status(thm)],[])).
% 0.80/0.76  tff(236,plain,
% 0.80/0.76      ((~![V_NA: $i, V_B: $i, V_A: $i, V_C: $i, V_evs: $i] : ((~c_in(V_evs, c_OtwayRees_Ootway, tc_List_Olist(tc_Event_Oevent))) | (V_B = V_C) | c_in(V_A, c_Event_Obad, tc_Message_Oagent) | (~c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(V_A), c_Message_Omsg_OMPair(V_NA, c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(V_A), c_Message_Omsg_OAgent(V_B)))), c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy, V_evs)), tc_Message_Omsg)) | (~c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(V_A), c_Message_Omsg_OMPair(V_NA, c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(V_A), c_Message_Omsg_OAgent(V_C)))), c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy, V_evs)), tc_Message_Omsg)))) | (v_B = v_Ba) | (~c_in(v_evs3, c_OtwayRees_Ootway, tc_List_Olist(tc_Event_Oevent))) | (~c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_Aa), c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NAa), c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa), c_Message_Omsg_OAgent(v_Ba)))), c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy, v_evs3)), tc_Message_Omsg)) | c_in(v_Aa, c_Event_Obad, tc_Message_Oagent) | (~c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_Aa), c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NAa), c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa), c_Message_Omsg_OAgent(v_B)))), c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy, v_evs3)), tc_Message_Omsg))),
% 0.80/0.76      inference(modus_ponens,[status(thm)],[235, 234])).
% 0.80/0.76  tff(237,plain,
% 0.80/0.76      (c_in(v_Aa, c_Event_Obad, tc_Message_Oagent) | (~c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_Aa), c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NAa), c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa), c_Message_Omsg_OAgent(v_B)))), c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy, v_evs3)), tc_Message_Omsg))),
% 0.80/0.76      inference(unit_resolution,[status(thm)],[236, 230, 175, 220, 169])).
% 0.80/0.76  tff(238,plain,
% 0.80/0.76      ($false),
% 0.80/0.76      inference(unit_resolution,[status(thm)],[237, 149, 80])).
% 0.80/0.76  tff(239,plain,((v_A = v_Ba) | c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_A), c_Message_Omsg_OMPair(v_NA, c_Message_Omsg_OKey(v_K))), c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy, v_evs3)), tc_Message_Omsg)), inference(lemma,lemma(discharge,[]))).
% 0.80/0.76  tff(240,plain,
% 0.80/0.76      (v_A = v_Ba),
% 0.80/0.76      inference(unit_resolution,[status(thm)],[239, 55])).
% 0.80/0.76  tff(241,plain,
% 0.80/0.76      (c_Message_Omsg_OAgent(v_A) = c_Message_Omsg_OAgent(v_Ba)),
% 0.80/0.76      inference(monotonicity,[status(thm)],[240])).
% 0.80/0.76  tff(242,plain,
% 0.80/0.76      (c_Message_Omsg_OAgent(v_Ba) = c_Message_Omsg_OAgent(v_A)),
% 0.80/0.76      inference(symmetry,[status(thm)],[241])).
% 0.80/0.76  tff(243,plain,
% 0.80/0.76      (c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Ba), c_Message_Omsg_OAgent(v_B)) = c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A), c_Message_Omsg_OAgent(v_B))),
% 0.80/0.76      inference(monotonicity,[status(thm)],[242])).
% 0.80/0.76  tff(244,assumption,(v_A = v_Ba), introduced(assumption)).
% 0.80/0.76  tff(245,plain,
% 0.80/0.76      (c_Message_Omsg_OAgent(v_A) = c_Message_Omsg_OAgent(v_Ba)),
% 0.80/0.76      inference(monotonicity,[status(thm)],[244])).
% 0.80/0.76  tff(246,plain,
% 0.80/0.76      (c_Message_Omsg_OAgent(v_Ba) = c_Message_Omsg_OAgent(v_A)),
% 0.80/0.76      inference(symmetry,[status(thm)],[245])).
% 0.80/0.76  tff(247,plain,
% 0.80/0.76      (c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Ba), c_Message_Omsg_OAgent(v_B)) = c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A), c_Message_Omsg_OAgent(v_B))),
% 0.80/0.76      inference(monotonicity,[status(thm)],[246])).
% 0.80/0.76  tff(248,assumption,(v_NA = c_Message_Omsg_ONonce(v_NB)), introduced(assumption)).
% 0.80/0.76  tff(249,plain,
% 0.80/0.76      (c_Message_Omsg_ONonce(v_NB) = v_NA),
% 0.80/0.76      inference(symmetry,[status(thm)],[248])).
% 0.80/0.76  tff(250,plain,
% 0.80/0.76      (c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB), c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Ba), c_Message_Omsg_OAgent(v_B))) = c_Message_Omsg_OMPair(v_NA, c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A), c_Message_Omsg_OAgent(v_B)))),
% 0.80/0.76      inference(monotonicity,[status(thm)],[249, 247])).
% 0.80/0.76  tff(251,plain,
% 0.80/0.76      (c_Public_OshrK(v_A) = c_Public_OshrK(v_Ba)),
% 0.80/0.76      inference(monotonicity,[status(thm)],[244])).
% 0.80/0.76  tff(252,plain,
% 0.80/0.76      (c_Public_OshrK(v_Ba) = c_Public_OshrK(v_A)),
% 0.80/0.76      inference(symmetry,[status(thm)],[251])).
% 0.80/0.76  tff(253,plain,
% 0.80/0.76      (c_Message_Omsg_OCrypt(c_Public_OshrK(v_Ba), c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB), c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Ba), c_Message_Omsg_OAgent(v_B)))) = c_Message_Omsg_OCrypt(c_Public_OshrK(v_A), c_Message_Omsg_OMPair(v_NA, c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A), c_Message_Omsg_OAgent(v_B))))),
% 0.80/0.76      inference(monotonicity,[status(thm)],[252, 250])).
% 0.80/0.76  tff(254,plain,
% 0.80/0.76      (c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_Ba), c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB), c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Ba), c_Message_Omsg_OAgent(v_B)))), c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy, v_evs3)), tc_Message_Omsg) <=> c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_A), c_Message_Omsg_OMPair(v_NA, 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_evs3)), tc_Message_Omsg)),
% 0.80/0.76      inference(monotonicity,[status(thm)],[253])).
% 0.80/0.76  tff(255,plain,
% 0.80/0.76      (c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_A), c_Message_Omsg_OMPair(v_NA, 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_evs3)), tc_Message_Omsg) <=> c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_Ba), c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB), c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Ba), c_Message_Omsg_OAgent(v_B)))), c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy, v_evs3)), tc_Message_Omsg)),
% 0.80/0.76      inference(symmetry,[status(thm)],[254])).
% 0.80/0.76  tff(256,plain,
% 0.80/0.76      (c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_Ba), c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB), c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Ba), c_Message_Omsg_OAgent(v_B)))), c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy, v_evs3)), tc_Message_Omsg)),
% 0.80/0.76      inference(modus_ponens,[status(thm)],[148, 255])).
% 0.80/0.76  tff(257,plain,
% 0.80/0.76      (c_in(v_A, c_Event_Obad, tc_Message_Oagent) <=> c_in(v_Ba, c_Event_Obad, tc_Message_Oagent)),
% 0.80/0.76      inference(monotonicity,[status(thm)],[244])).
% 0.80/0.76  tff(258,plain,
% 0.80/0.76      ((~c_in(v_A, c_Event_Obad, tc_Message_Oagent)) <=> (~c_in(v_Ba, c_Event_Obad, tc_Message_Oagent))),
% 0.80/0.76      inference(monotonicity,[status(thm)],[257])).
% 0.80/0.76  tff(259,plain,
% 0.80/0.76      (~c_in(v_Ba, c_Event_Obad, tc_Message_Oagent)),
% 0.80/0.76      inference(modus_ponens,[status(thm)],[79, 258])).
% 0.80/0.76  tff(260,plain,
% 0.80/0.76      (((~![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_NB), 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_NB), 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_NB), 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_NB), 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))),
% 0.80/0.76      inference(rewrite,[status(thm)],[])).
% 0.80/0.76  tff(261,plain,
% 0.80/0.76      ((~![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_NB), 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_NB), 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))),
% 0.80/0.76      inference(quant_inst,[status(thm)],[])).
% 0.80/0.76  tff(262,plain,
% 0.80/0.76      ((~![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_NB), 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_NB), 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)),
% 0.80/0.76      inference(modus_ponens,[status(thm)],[261, 260])).
% 0.80/0.76  tff(263,plain,
% 0.80/0.76      (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_NB), 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)),
% 0.80/0.76      inference(unit_resolution,[status(thm)],[262, 125, 205])).
% 0.80/0.76  tff(264,plain,
% 0.80/0.76      (((~![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_NB), 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_NB), 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_NB), 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_NB), 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))),
% 0.80/0.76      inference(rewrite,[status(thm)],[])).
% 0.80/0.76  tff(265,plain,
% 0.80/0.76      ((~![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_NB), 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_NB), 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))),
% 0.80/0.76      inference(quant_inst,[status(thm)],[])).
% 0.80/0.76  tff(266,plain,
% 0.80/0.76      ((~![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_NB), 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_NB), 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)),
% 0.80/0.77      inference(modus_ponens,[status(thm)],[265, 264])).
% 0.80/0.77  tff(267,plain,
% 0.80/0.77      (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_NB), 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)),
% 0.80/0.77      inference(unit_resolution,[status(thm)],[266, 144, 263])).
% 0.80/0.77  tff(268,plain,
% 0.80/0.77      (^[V_A_H: $i, V_NA: $i, V_NA_H: $i, V_B: $i, V_A: $i, V_evs: $i] : refl(((~c_in(V_evs, c_OtwayRees_Ootway, tc_List_Olist(tc_Event_Oevent))) | c_in(V_A, c_Event_Obad, tc_Message_Oagent) | (~c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(V_A), c_Message_Omsg_OMPair(V_NA, 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(c_Message_Omsg_OCrypt(c_Public_OshrK(V_A), c_Message_Omsg_OMPair(V_NA_H, c_Message_Omsg_OMPair(V_NA, c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(V_A_H), c_Message_Omsg_OAgent(V_A))))), 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_A, c_Event_Obad, tc_Message_Oagent) | (~c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(V_A), c_Message_Omsg_OMPair(V_NA, 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(c_Message_Omsg_OCrypt(c_Public_OshrK(V_A), c_Message_Omsg_OMPair(V_NA_H, c_Message_Omsg_OMPair(V_NA, c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(V_A_H), c_Message_Omsg_OAgent(V_A))))), c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy, V_evs)), tc_Message_Omsg))))),
% 0.80/0.77      inference(bind,[status(th)],[])).
% 0.80/0.77  tff(269,plain,
% 0.80/0.77      (![V_A_H: $i, V_NA: $i, V_NA_H: $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(V_A, c_Event_Obad, tc_Message_Oagent) | (~c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(V_A), c_Message_Omsg_OMPair(V_NA, 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(c_Message_Omsg_OCrypt(c_Public_OshrK(V_A), c_Message_Omsg_OMPair(V_NA_H, c_Message_Omsg_OMPair(V_NA, c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(V_A_H), c_Message_Omsg_OAgent(V_A))))), c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy, V_evs)), tc_Message_Omsg))) <=> ![V_A_H: $i, V_NA: $i, V_NA_H: $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(V_A, c_Event_Obad, tc_Message_Oagent) | (~c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(V_A), c_Message_Omsg_OMPair(V_NA, 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(c_Message_Omsg_OCrypt(c_Public_OshrK(V_A), c_Message_Omsg_OMPair(V_NA_H, c_Message_Omsg_OMPair(V_NA, c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(V_A_H), c_Message_Omsg_OAgent(V_A))))), c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy, V_evs)), tc_Message_Omsg)))),
% 0.80/0.77      inference(quant_intro,[status(thm)],[268])).
% 0.80/0.77  tff(270,plain,
% 0.80/0.77      (![V_A_H: $i, V_NA: $i, V_NA_H: $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(V_A, c_Event_Obad, tc_Message_Oagent) | (~c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(V_A), c_Message_Omsg_OMPair(V_NA, 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(c_Message_Omsg_OCrypt(c_Public_OshrK(V_A), c_Message_Omsg_OMPair(V_NA_H, c_Message_Omsg_OMPair(V_NA, c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(V_A_H), c_Message_Omsg_OAgent(V_A))))), c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy, V_evs)), tc_Message_Omsg))) <=> ![V_A_H: $i, V_NA: $i, V_NA_H: $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(V_A, c_Event_Obad, tc_Message_Oagent) | (~c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(V_A), c_Message_Omsg_OMPair(V_NA, 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(c_Message_Omsg_OCrypt(c_Public_OshrK(V_A), c_Message_Omsg_OMPair(V_NA_H, c_Message_Omsg_OMPair(V_NA, c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(V_A_H), c_Message_Omsg_OAgent(V_A))))), c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy, V_evs)), tc_Message_Omsg)))),
% 0.81/0.77      inference(rewrite,[status(thm)],[])).
% 0.81/0.77  tff(271,plain,
% 0.81/0.77      (^[V_A_H: $i, V_NA: $i, V_NA_H: $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_A), c_Message_Omsg_OMPair(V_NA_H, c_Message_Omsg_OMPair(V_NA, c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(V_A_H), c_Message_Omsg_OAgent(V_A))))), c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy, V_evs)), tc_Message_Omsg))) | (~c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(V_A), c_Message_Omsg_OMPair(V_NA, 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_Message_Omsg_OCrypt(c_Public_OshrK(V_A), c_Message_Omsg_OMPair(V_NA, 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(c_Message_Omsg_OCrypt(c_Public_OshrK(V_A), c_Message_Omsg_OMPair(V_NA_H, c_Message_Omsg_OMPair(V_NA, c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(V_A_H), c_Message_Omsg_OAgent(V_A))))), 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_Message_Omsg_OCrypt(c_Public_OshrK(V_A), c_Message_Omsg_OMPair(V_NA_H, c_Message_Omsg_OMPair(V_NA, c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(V_A_H), c_Message_Omsg_OAgent(V_A))))), c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy, V_evs)), tc_Message_Omsg))) | (~c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(V_A), c_Message_Omsg_OMPair(V_NA, 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_A, c_Event_Obad, tc_Message_Oagent)) <=> (((~c_in(V_evs, c_OtwayRees_Ootway, tc_List_Olist(tc_Event_Oevent))) | (~c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(V_A), c_Message_Omsg_OMPair(V_NA, 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(c_Message_Omsg_OCrypt(c_Public_OshrK(V_A), c_Message_Omsg_OMPair(V_NA_H, c_Message_Omsg_OMPair(V_NA, c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(V_A_H), c_Message_Omsg_OAgent(V_A))))), c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy, V_evs)), tc_Message_Omsg))) | c_in(V_A, c_Event_Obad, tc_Message_Oagent)))), rewrite((((~c_in(V_evs, c_OtwayRees_Ootway, tc_List_Olist(tc_Event_Oevent))) | (~c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(V_A), c_Message_Omsg_OMPair(V_NA, 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(c_Message_Omsg_OCrypt(c_Public_OshrK(V_A), c_Message_Omsg_OMPair(V_NA_H, c_Message_Omsg_OMPair(V_NA, c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(V_A_H), c_Message_Omsg_OAgent(V_A))))), c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy, V_evs)), tc_Message_Omsg))) | c_in(V_A, c_Event_Obad, tc_Message_Oagent)) <=> ((~c_in(V_evs, c_OtwayRees_Ootway, tc_List_Olist(tc_Event_Oevent))) | c_in(V_A, c_Event_Obad, tc_Message_Oagent) | (~c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(V_A), c_Message_Omsg_OMPair(V_NA, 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(c_Message_Omsg_OCrypt(c_Public_OshrK(V_A), c_Message_Omsg_OMPair(V_NA_H, c_Message_Omsg_OMPair(V_NA, c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(V_A_H), c_Message_Omsg_OAgent(V_A))))), 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_Message_Omsg_OCrypt(c_Public_OshrK(V_A), c_Message_Omsg_OMPair(V_NA_H, c_Message_Omsg_OMPair(V_NA, c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(V_A_H), c_Message_Omsg_OAgent(V_A))))), c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy, V_evs)), tc_Message_Omsg))) | (~c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(V_A), c_Message_Omsg_OMPair(V_NA, 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_A, c_Event_Obad, tc_Message_Oagent)) <=> ((~c_in(V_evs, c_OtwayRees_Ootway, tc_List_Olist(tc_Event_Oevent))) | c_in(V_A, c_Event_Obad, tc_Message_Oagent) | (~c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(V_A), c_Message_Omsg_OMPair(V_NA, 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(c_Message_Omsg_OCrypt(c_Public_OshrK(V_A), c_Message_Omsg_OMPair(V_NA_H, c_Message_Omsg_OMPair(V_NA, c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(V_A_H), c_Message_Omsg_OAgent(V_A))))), c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy, V_evs)), tc_Message_Omsg)))))),
% 0.81/0.77      inference(bind,[status(th)],[])).
% 0.81/0.77  tff(272,plain,
% 0.81/0.77      (![V_A_H: $i, V_NA: $i, V_NA_H: $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_A), c_Message_Omsg_OMPair(V_NA_H, c_Message_Omsg_OMPair(V_NA, c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(V_A_H), c_Message_Omsg_OAgent(V_A))))), c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy, V_evs)), tc_Message_Omsg))) | (~c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(V_A), c_Message_Omsg_OMPair(V_NA, 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_A, c_Event_Obad, tc_Message_Oagent)) <=> ![V_A_H: $i, V_NA: $i, V_NA_H: $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(V_A, c_Event_Obad, tc_Message_Oagent) | (~c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(V_A), c_Message_Omsg_OMPair(V_NA, 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(c_Message_Omsg_OCrypt(c_Public_OshrK(V_A), c_Message_Omsg_OMPair(V_NA_H, c_Message_Omsg_OMPair(V_NA, c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(V_A_H), c_Message_Omsg_OAgent(V_A))))), c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy, V_evs)), tc_Message_Omsg)))),
% 0.81/0.77      inference(quant_intro,[status(thm)],[271])).
% 0.81/0.77  tff(273,axiom,(![V_A_H: $i, V_NA: $i, V_NA_H: $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_A), c_Message_Omsg_OMPair(V_NA_H, c_Message_Omsg_OMPair(V_NA, c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(V_A_H), c_Message_Omsg_OAgent(V_A))))), c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy, V_evs)), tc_Message_Omsg))) | (~c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(V_A), c_Message_Omsg_OMPair(V_NA, 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_A, c_Event_Obad, tc_Message_Oagent))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','cls_OtwayRees_Ono__nonce__OR1__OR2__dest_0')).
% 0.81/0.77  tff(274,plain,
% 0.81/0.77      (![V_A_H: $i, V_NA: $i, V_NA_H: $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(V_A, c_Event_Obad, tc_Message_Oagent) | (~c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(V_A), c_Message_Omsg_OMPair(V_NA, 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(c_Message_Omsg_OCrypt(c_Public_OshrK(V_A), c_Message_Omsg_OMPair(V_NA_H, c_Message_Omsg_OMPair(V_NA, c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(V_A_H), c_Message_Omsg_OAgent(V_A))))), c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy, V_evs)), tc_Message_Omsg)))),
% 0.81/0.77      inference(modus_ponens,[status(thm)],[273, 272])).
% 0.81/0.77  tff(275,plain,
% 0.81/0.77      (![V_A_H: $i, V_NA: $i, V_NA_H: $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(V_A, c_Event_Obad, tc_Message_Oagent) | (~c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(V_A), c_Message_Omsg_OMPair(V_NA, 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(c_Message_Omsg_OCrypt(c_Public_OshrK(V_A), c_Message_Omsg_OMPair(V_NA_H, c_Message_Omsg_OMPair(V_NA, c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(V_A_H), c_Message_Omsg_OAgent(V_A))))), c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy, V_evs)), tc_Message_Omsg)))),
% 0.81/0.77      inference(modus_ponens,[status(thm)],[274, 270])).
% 0.81/0.77  tff(276,plain,(
% 0.81/0.77      ![V_A_H: $i, V_NA: $i, V_NA_H: $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(V_A, c_Event_Obad, tc_Message_Oagent) | (~c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(V_A), c_Message_Omsg_OMPair(V_NA, 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(c_Message_Omsg_OCrypt(c_Public_OshrK(V_A), c_Message_Omsg_OMPair(V_NA_H, c_Message_Omsg_OMPair(V_NA, c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(V_A_H), c_Message_Omsg_OAgent(V_A))))), c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy, V_evs)), tc_Message_Omsg)))),
% 0.81/0.77      inference(skolemize,[status(sab)],[275])).
% 0.81/0.77  tff(277,plain,
% 0.81/0.77      (![V_A_H: $i, V_NA: $i, V_NA_H: $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(V_A, c_Event_Obad, tc_Message_Oagent) | (~c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(V_A), c_Message_Omsg_OMPair(V_NA, 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(c_Message_Omsg_OCrypt(c_Public_OshrK(V_A), c_Message_Omsg_OMPair(V_NA_H, c_Message_Omsg_OMPair(V_NA, c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(V_A_H), c_Message_Omsg_OAgent(V_A))))), c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy, V_evs)), tc_Message_Omsg)))),
% 0.81/0.77      inference(modus_ponens,[status(thm)],[276, 269])).
% 0.81/0.77  tff(278,plain,
% 0.81/0.77      (((~![V_A_H: $i, V_NA: $i, V_NA_H: $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(V_A, c_Event_Obad, tc_Message_Oagent) | (~c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(V_A), c_Message_Omsg_OMPair(V_NA, 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(c_Message_Omsg_OCrypt(c_Public_OshrK(V_A), c_Message_Omsg_OMPair(V_NA_H, c_Message_Omsg_OMPair(V_NA, c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(V_A_H), c_Message_Omsg_OAgent(V_A))))), c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy, V_evs)), tc_Message_Omsg)))) | ((~c_in(v_evs3, c_OtwayRees_Ootway, tc_List_Olist(tc_Event_Oevent))) | (~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_NB), 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_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_NB), c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Ba), c_Message_Omsg_OAgent(v_B)))), c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy, v_evs3)), tc_Message_Omsg)))) <=> ((~![V_A_H: $i, V_NA: $i, V_NA_H: $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(V_A, c_Event_Obad, tc_Message_Oagent) | (~c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(V_A), c_Message_Omsg_OMPair(V_NA, 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(c_Message_Omsg_OCrypt(c_Public_OshrK(V_A), c_Message_Omsg_OMPair(V_NA_H, c_Message_Omsg_OMPair(V_NA, c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(V_A_H), c_Message_Omsg_OAgent(V_A))))), c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy, V_evs)), tc_Message_Omsg)))) | (~c_in(v_evs3, c_OtwayRees_Ootway, tc_List_Olist(tc_Event_Oevent))) | (~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_NB), 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_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_NB), c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Ba), c_Message_Omsg_OAgent(v_B)))), c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy, v_evs3)), tc_Message_Omsg)))),
% 0.81/0.77      inference(rewrite,[status(thm)],[])).
% 0.81/0.77  tff(279,plain,
% 0.81/0.77      (((~c_in(v_evs3, c_OtwayRees_Ootway, tc_List_Olist(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_NB), c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Ba), c_Message_Omsg_OAgent(v_B)))), c_Message_Oparts(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_NB), 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(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_NB), 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_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_NB), c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Ba), c_Message_Omsg_OAgent(v_B)))), c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy, v_evs3)), tc_Message_Omsg)))),
% 0.81/0.77      inference(rewrite,[status(thm)],[])).
% 0.81/0.77  tff(280,plain,
% 0.81/0.77      (((~![V_A_H: $i, V_NA: $i, V_NA_H: $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(V_A, c_Event_Obad, tc_Message_Oagent) | (~c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(V_A), c_Message_Omsg_OMPair(V_NA, 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(c_Message_Omsg_OCrypt(c_Public_OshrK(V_A), c_Message_Omsg_OMPair(V_NA_H, c_Message_Omsg_OMPair(V_NA, c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(V_A_H), c_Message_Omsg_OAgent(V_A))))), c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy, V_evs)), tc_Message_Omsg)))) | ((~c_in(v_evs3, c_OtwayRees_Ootway, tc_List_Olist(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_NB), c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Ba), c_Message_Omsg_OAgent(v_B)))), c_Message_Oparts(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_NB), 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_A_H: $i, V_NA: $i, V_NA_H: $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(V_A, c_Event_Obad, tc_Message_Oagent) | (~c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(V_A), c_Message_Omsg_OMPair(V_NA, 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(c_Message_Omsg_OCrypt(c_Public_OshrK(V_A), c_Message_Omsg_OMPair(V_NA_H, c_Message_Omsg_OMPair(V_NA, c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(V_A_H), c_Message_Omsg_OAgent(V_A))))), c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy, V_evs)), tc_Message_Omsg)))) | ((~c_in(v_evs3, c_OtwayRees_Ootway, tc_List_Olist(tc_Event_Oevent))) | (~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_NB), 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_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_NB), c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Ba), c_Message_Omsg_OAgent(v_B)))), c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy, v_evs3)), tc_Message_Omsg))))),
% 0.81/0.77      inference(monotonicity,[status(thm)],[279])).
% 0.81/0.77  tff(281,plain,
% 0.81/0.77      (((~![V_A_H: $i, V_NA: $i, V_NA_H: $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(V_A, c_Event_Obad, tc_Message_Oagent) | (~c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(V_A), c_Message_Omsg_OMPair(V_NA, 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(c_Message_Omsg_OCrypt(c_Public_OshrK(V_A), c_Message_Omsg_OMPair(V_NA_H, c_Message_Omsg_OMPair(V_NA, c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(V_A_H), c_Message_Omsg_OAgent(V_A))))), c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy, V_evs)), tc_Message_Omsg)))) | ((~c_in(v_evs3, c_OtwayRees_Ootway, tc_List_Olist(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_NB), c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Ba), c_Message_Omsg_OAgent(v_B)))), c_Message_Oparts(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_NB), 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_A_H: $i, V_NA: $i, V_NA_H: $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(V_A, c_Event_Obad, tc_Message_Oagent) | (~c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(V_A), c_Message_Omsg_OMPair(V_NA, 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(c_Message_Omsg_OCrypt(c_Public_OshrK(V_A), c_Message_Omsg_OMPair(V_NA_H, c_Message_Omsg_OMPair(V_NA, c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(V_A_H), c_Message_Omsg_OAgent(V_A))))), c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy, V_evs)), tc_Message_Omsg)))) | (~c_in(v_evs3, c_OtwayRees_Ootway, tc_List_Olist(tc_Event_Oevent))) | (~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_NB), 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_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_NB), c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Ba), c_Message_Omsg_OAgent(v_B)))), c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy, v_evs3)), tc_Message_Omsg)))),
% 0.81/0.77      inference(transitivity,[status(thm)],[280, 278])).
% 0.81/0.77  tff(282,plain,
% 0.81/0.77      ((~![V_A_H: $i, V_NA: $i, V_NA_H: $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(V_A, c_Event_Obad, tc_Message_Oagent) | (~c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(V_A), c_Message_Omsg_OMPair(V_NA, 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(c_Message_Omsg_OCrypt(c_Public_OshrK(V_A), c_Message_Omsg_OMPair(V_NA_H, c_Message_Omsg_OMPair(V_NA, c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(V_A_H), c_Message_Omsg_OAgent(V_A))))), c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy, V_evs)), tc_Message_Omsg)))) | ((~c_in(v_evs3, c_OtwayRees_Ootway, tc_List_Olist(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_NB), c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Ba), c_Message_Omsg_OAgent(v_B)))), c_Message_Oparts(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_NB), 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)))),
% 0.81/0.77      inference(quant_inst,[status(thm)],[])).
% 0.81/0.77  tff(283,plain,
% 0.81/0.77      ((~![V_A_H: $i, V_NA: $i, V_NA_H: $i, V_B: $i, V_A: $i, V_evs: $i] : ((~c_in(V_evs, c_OtwayRees_Ootway, tc_List_Olist(tc_Event_Oevent))) | c_in(V_A, c_Event_Obad, tc_Message_Oagent) | (~c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(V_A), c_Message_Omsg_OMPair(V_NA, c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(V_A), c_Message_Omsg_OAgent(V_B)))), c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy, V_evs)), tc_Message_Omsg)) | (~c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(V_A), c_Message_Omsg_OMPair(V_NA_H, c_Message_Omsg_OMPair(V_NA, c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(V_A_H), c_Message_Omsg_OAgent(V_A))))), c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy, V_evs)), tc_Message_Omsg)))) | (~c_in(v_evs3, c_OtwayRees_Ootway, tc_List_Olist(tc_Event_Oevent))) | (~c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_Ba), c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NAa), c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB), c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa), c_Message_Omsg_OAgent(v_Ba))))), c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy, v_evs3)), tc_Message_Omsg)) | c_in(v_Ba, c_Event_Obad, tc_Message_Oagent) | (~c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_Ba), c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB), c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Ba), c_Message_Omsg_OAgent(v_B)))), c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy, v_evs3)), tc_Message_Omsg))),
% 0.81/0.77      inference(modus_ponens,[status(thm)],[282, 281])).
% 0.81/0.77  tff(284,plain,
% 0.81/0.77      (~c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_Ba), c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB), c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Ba), c_Message_Omsg_OAgent(v_B)))), c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy, v_evs3)), tc_Message_Omsg)),
% 0.81/0.77      inference(unit_resolution,[status(thm)],[283, 277, 175, 267, 259])).
% 0.81/0.77  tff(285,plain,
% 0.81/0.77      ($false),
% 0.81/0.77      inference(unit_resolution,[status(thm)],[284, 256])).
% 0.81/0.77  tff(286,plain,((~(v_NA = c_Message_Omsg_ONonce(v_NB))) | (~(v_A = v_Ba))), inference(lemma,lemma(discharge,[]))).
% 0.81/0.77  tff(287,plain,
% 0.81/0.77      (~(v_NA = c_Message_Omsg_ONonce(v_NB))),
% 0.81/0.77      inference(unit_resolution,[status(thm)],[286, 240])).
% 0.81/0.77  tff(288,plain,
% 0.81/0.77      ((c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_A), c_Message_Omsg_OMPair(v_NA, c_Message_Omsg_OKey(v_K))), c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy, v_evs3)), tc_Message_Omsg) | (v_NA = c_Message_Omsg_ONonce(v_NAa)) | (v_NA = c_Message_Omsg_ONonce(v_NB))) <=> (c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_A), c_Message_Omsg_OMPair(v_NA, c_Message_Omsg_OKey(v_K))), c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy, v_evs3)), tc_Message_Omsg) | (v_NA = c_Message_Omsg_ONonce(v_NAa)) | (v_NA = c_Message_Omsg_ONonce(v_NB)))),
% 0.81/0.77      inference(rewrite,[status(thm)],[])).
% 0.81/0.77  tff(289,plain,
% 0.81/0.77      (((c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_A), c_Message_Omsg_OMPair(v_NA, c_Message_Omsg_OKey(v_K))), c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy, v_evs3)), tc_Message_Omsg) | (v_NA = c_Message_Omsg_ONonce(v_NB))) | (v_NA = c_Message_Omsg_ONonce(v_NAa))) <=> (c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_A), c_Message_Omsg_OMPair(v_NA, c_Message_Omsg_OKey(v_K))), c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy, v_evs3)), tc_Message_Omsg) | (v_NA = c_Message_Omsg_ONonce(v_NAa)) | (v_NA = c_Message_Omsg_ONonce(v_NB)))),
% 0.81/0.77      inference(rewrite,[status(thm)],[])).
% 0.81/0.77  tff(290,plain,
% 0.81/0.77      ((c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_A), c_Message_Omsg_OMPair(v_NA, c_Message_Omsg_OKey(v_K))), c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy, v_evs3)), tc_Message_Omsg) | (v_NA = c_Message_Omsg_ONonce(v_NB))) <=> (c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_A), c_Message_Omsg_OMPair(v_NA, c_Message_Omsg_OKey(v_K))), c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy, v_evs3)), tc_Message_Omsg) | (v_NA = c_Message_Omsg_ONonce(v_NB)))),
% 0.81/0.77      inference(rewrite,[status(thm)],[])).
% 0.81/0.77  tff(291,plain,
% 0.81/0.77      (((c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_A), c_Message_Omsg_OMPair(v_NA, c_Message_Omsg_OKey(v_K))), c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy, v_evs3)), tc_Message_Omsg) | (v_NA = c_Message_Omsg_ONonce(v_NB))) | (v_NA = c_Message_Omsg_ONonce(v_NAa))) <=> ((c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_A), c_Message_Omsg_OMPair(v_NA, c_Message_Omsg_OKey(v_K))), c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy, v_evs3)), tc_Message_Omsg) | (v_NA = c_Message_Omsg_ONonce(v_NB))) | (v_NA = c_Message_Omsg_ONonce(v_NAa)))),
% 0.81/0.77      inference(monotonicity,[status(thm)],[290])).
% 0.81/0.77  tff(292,plain,
% 0.81/0.77      (((c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_A), c_Message_Omsg_OMPair(v_NA, c_Message_Omsg_OKey(v_K))), c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy, v_evs3)), tc_Message_Omsg) | (v_NA = c_Message_Omsg_ONonce(v_NB))) | (v_NA = c_Message_Omsg_ONonce(v_NAa))) <=> (c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_A), c_Message_Omsg_OMPair(v_NA, c_Message_Omsg_OKey(v_K))), c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy, v_evs3)), tc_Message_Omsg) | (v_NA = c_Message_Omsg_ONonce(v_NAa)) | (v_NA = c_Message_Omsg_ONonce(v_NB)))),
% 0.81/0.77      inference(transitivity,[status(thm)],[291, 289])).
% 0.81/0.77  tff(293,axiom,((c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_A), c_Message_Omsg_OMPair(v_NA, c_Message_Omsg_OKey(v_K))), c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy, v_evs3)), tc_Message_Omsg) | (v_NA = c_Message_Omsg_ONonce(v_NB))) | (v_NA = c_Message_Omsg_ONonce(v_NAa))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','cls_conjecture_17')).
% 0.81/0.78  tff(294,plain,
% 0.81/0.78      (c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_A), c_Message_Omsg_OMPair(v_NA, c_Message_Omsg_OKey(v_K))), c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy, v_evs3)), tc_Message_Omsg) | (v_NA = c_Message_Omsg_ONonce(v_NAa)) | (v_NA = c_Message_Omsg_ONonce(v_NB))),
% 0.81/0.78      inference(modus_ponens,[status(thm)],[293, 292])).
% 0.81/0.78  tff(295,plain,
% 0.81/0.78      (c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_A), c_Message_Omsg_OMPair(v_NA, c_Message_Omsg_OKey(v_K))), c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy, v_evs3)), tc_Message_Omsg) | (v_NA = c_Message_Omsg_ONonce(v_NAa)) | (v_NA = c_Message_Omsg_ONonce(v_NB))),
% 0.81/0.78      inference(modus_ponens,[status(thm)],[294, 288])).
% 0.81/0.78  tff(296,plain,
% 0.81/0.78      (c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_A), c_Message_Omsg_OMPair(v_NA, c_Message_Omsg_OKey(v_K))), c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy, v_evs3)), tc_Message_Omsg) | (v_NA = c_Message_Omsg_ONonce(v_NAa)) | (v_NA = c_Message_Omsg_ONonce(v_NB))),
% 0.81/0.78      inference(modus_ponens,[status(thm)],[295, 288])).
% 0.81/0.78  tff(297,plain,
% 0.81/0.78      (c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_A), c_Message_Omsg_OMPair(v_NA, c_Message_Omsg_OKey(v_K))), c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy, v_evs3)), tc_Message_Omsg) | (v_NA = c_Message_Omsg_ONonce(v_NAa)) | (v_NA = c_Message_Omsg_ONonce(v_NB))),
% 0.81/0.78      inference(modus_ponens,[status(thm)],[296, 288])).
% 0.81/0.78  tff(298,plain,
% 0.81/0.78      (c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_A), c_Message_Omsg_OMPair(v_NA, c_Message_Omsg_OKey(v_K))), c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy, v_evs3)), tc_Message_Omsg) | (v_NA = c_Message_Omsg_ONonce(v_NAa)) | (v_NA = c_Message_Omsg_ONonce(v_NB))),
% 0.81/0.78      inference(modus_ponens,[status(thm)],[297, 288])).
% 0.81/0.78  tff(299,plain,
% 0.81/0.78      (c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_A), c_Message_Omsg_OMPair(v_NA, c_Message_Omsg_OKey(v_K))), c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy, v_evs3)), tc_Message_Omsg) | (v_NA = c_Message_Omsg_ONonce(v_NAa)) | (v_NA = c_Message_Omsg_ONonce(v_NB))),
% 0.81/0.78      inference(modus_ponens,[status(thm)],[298, 288])).
% 0.81/0.78  tff(300,plain,
% 0.81/0.78      (c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_A), c_Message_Omsg_OMPair(v_NA, c_Message_Omsg_OKey(v_K))), c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy, v_evs3)), tc_Message_Omsg) | (v_NA = c_Message_Omsg_ONonce(v_NAa)) | (v_NA = c_Message_Omsg_ONonce(v_NB))),
% 0.81/0.78      inference(modus_ponens,[status(thm)],[299, 288])).
% 0.81/0.78  tff(301,plain,
% 0.81/0.78      (c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_A), c_Message_Omsg_OMPair(v_NA, c_Message_Omsg_OKey(v_K))), c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy, v_evs3)), tc_Message_Omsg) | (v_NA = c_Message_Omsg_ONonce(v_NAa)) | (v_NA = c_Message_Omsg_ONonce(v_NB))),
% 0.81/0.78      inference(modus_ponens,[status(thm)],[300, 288])).
% 0.81/0.78  tff(302,plain,
% 0.81/0.78      (c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_A), c_Message_Omsg_OMPair(v_NA, c_Message_Omsg_OKey(v_K))), c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy, v_evs3)), tc_Message_Omsg) | (v_NA = c_Message_Omsg_ONonce(v_NAa)) | (v_NA = c_Message_Omsg_ONonce(v_NB))),
% 0.81/0.78      inference(modus_ponens,[status(thm)],[301, 288])).
% 0.81/0.78  tff(303,plain,
% 0.81/0.78      (v_NA = c_Message_Omsg_ONonce(v_NAa)),
% 0.81/0.78      inference(unit_resolution,[status(thm)],[302, 287, 55])).
% 0.81/0.78  tff(304,plain,
% 0.81/0.78      (c_Message_Omsg_ONonce(v_NAa) = v_NA),
% 0.81/0.78      inference(symmetry,[status(thm)],[303])).
% 0.81/0.78  tff(305,plain,
% 0.81/0.78      (c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NAa), c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Ba), c_Message_Omsg_OAgent(v_B))) = c_Message_Omsg_OMPair(v_NA, c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A), c_Message_Omsg_OAgent(v_B)))),
% 0.81/0.78      inference(monotonicity,[status(thm)],[304, 243])).
% 0.81/0.78  tff(306,plain,
% 0.81/0.78      (c_Public_OshrK(v_A) = c_Public_OshrK(v_Ba)),
% 0.81/0.78      inference(monotonicity,[status(thm)],[240])).
% 0.81/0.78  tff(307,plain,
% 0.81/0.78      (c_Public_OshrK(v_Ba) = c_Public_OshrK(v_A)),
% 0.81/0.78      inference(symmetry,[status(thm)],[306])).
% 0.81/0.78  tff(308,plain,
% 0.81/0.78      (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_OAgent(v_Ba), c_Message_Omsg_OAgent(v_B)))) = c_Message_Omsg_OCrypt(c_Public_OshrK(v_A), c_Message_Omsg_OMPair(v_NA, c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A), c_Message_Omsg_OAgent(v_B))))),
% 0.81/0.78      inference(monotonicity,[status(thm)],[307, 305])).
% 0.81/0.78  tff(309,plain,
% 0.81/0.78      (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_OAgent(v_Ba), c_Message_Omsg_OAgent(v_B)))), c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy, v_evs3)), tc_Message_Omsg) <=> c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_A), c_Message_Omsg_OMPair(v_NA, 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_evs3)), tc_Message_Omsg)),
% 0.81/0.78      inference(monotonicity,[status(thm)],[308])).
% 0.81/0.78  tff(310,plain,
% 0.81/0.78      (c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_A), c_Message_Omsg_OMPair(v_NA, 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_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_OAgent(v_Ba), c_Message_Omsg_OAgent(v_B)))), c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy, v_evs3)), tc_Message_Omsg)),
% 0.81/0.78      inference(symmetry,[status(thm)],[309])).
% 0.81/0.78  tff(311,plain,
% 0.81/0.78      (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_OAgent(v_Ba), c_Message_Omsg_OAgent(v_B)))), c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy, v_evs3)), tc_Message_Omsg)),
% 0.81/0.78      inference(modus_ponens,[status(thm)],[148, 310])).
% 0.81/0.78  tff(312,plain,
% 0.81/0.78      ((v_Ba = v_B) <=> (v_B = v_Ba)),
% 0.81/0.78      inference(commutativity,[status(thm)],[])).
% 0.81/0.78  tff(313,plain,
% 0.81/0.78      ((v_B = v_Ba) <=> (v_Ba = v_B)),
% 0.81/0.78      inference(symmetry,[status(thm)],[312])).
% 0.81/0.78  tff(314,plain,
% 0.81/0.78      ((~(v_B = v_Ba)) <=> (~(v_Ba = v_B))),
% 0.81/0.78      inference(monotonicity,[status(thm)],[313])).
% 0.81/0.78  tff(315,plain,
% 0.81/0.78      ((c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_A), c_Message_Omsg_OMPair(v_NA, c_Message_Omsg_OKey(v_K))), c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy, v_evs3)), tc_Message_Omsg) | (v_NA = c_Message_Omsg_ONonce(v_NB)) | (v_A = v_Aa)) <=> (c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_A), c_Message_Omsg_OMPair(v_NA, c_Message_Omsg_OKey(v_K))), c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy, v_evs3)), tc_Message_Omsg) | (v_NA = c_Message_Omsg_ONonce(v_NB)) | (v_A = v_Aa))),
% 0.81/0.78      inference(rewrite,[status(thm)],[])).
% 0.81/0.78  tff(316,plain,
% 0.81/0.78      (((c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_A), c_Message_Omsg_OMPair(v_NA, c_Message_Omsg_OKey(v_K))), c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy, v_evs3)), tc_Message_Omsg) | (v_NA = c_Message_Omsg_ONonce(v_NB))) | (v_A = v_Aa)) <=> (c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_A), c_Message_Omsg_OMPair(v_NA, c_Message_Omsg_OKey(v_K))), c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy, v_evs3)), tc_Message_Omsg) | (v_NA = c_Message_Omsg_ONonce(v_NB)) | (v_A = v_Aa))),
% 0.81/0.78      inference(rewrite,[status(thm)],[])).
% 0.81/0.78  tff(317,plain,
% 0.81/0.78      (((c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_A), c_Message_Omsg_OMPair(v_NA, c_Message_Omsg_OKey(v_K))), c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy, v_evs3)), tc_Message_Omsg) | (v_NA = c_Message_Omsg_ONonce(v_NB))) | (v_A = v_Aa)) <=> ((c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_A), c_Message_Omsg_OMPair(v_NA, c_Message_Omsg_OKey(v_K))), c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy, v_evs3)), tc_Message_Omsg) | (v_NA = c_Message_Omsg_ONonce(v_NB))) | (v_A = v_Aa))),
% 0.81/0.78      inference(monotonicity,[status(thm)],[290])).
% 0.81/0.78  tff(318,plain,
% 0.81/0.78      (((c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_A), c_Message_Omsg_OMPair(v_NA, c_Message_Omsg_OKey(v_K))), c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy, v_evs3)), tc_Message_Omsg) | (v_NA = c_Message_Omsg_ONonce(v_NB))) | (v_A = v_Aa)) <=> (c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_A), c_Message_Omsg_OMPair(v_NA, c_Message_Omsg_OKey(v_K))), c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy, v_evs3)), tc_Message_Omsg) | (v_NA = c_Message_Omsg_ONonce(v_NB)) | (v_A = v_Aa))),
% 0.81/0.78      inference(transitivity,[status(thm)],[317, 316])).
% 0.81/0.78  tff(319,axiom,((c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_A), c_Message_Omsg_OMPair(v_NA, c_Message_Omsg_OKey(v_K))), c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy, v_evs3)), tc_Message_Omsg) | (v_NA = c_Message_Omsg_ONonce(v_NB))) | (v_A = v_Aa)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','cls_conjecture_9')).
% 0.81/0.78  tff(320,plain,
% 0.81/0.78      (c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_A), c_Message_Omsg_OMPair(v_NA, c_Message_Omsg_OKey(v_K))), c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy, v_evs3)), tc_Message_Omsg) | (v_NA = c_Message_Omsg_ONonce(v_NB)) | (v_A = v_Aa)),
% 0.81/0.78      inference(modus_ponens,[status(thm)],[319, 318])).
% 0.81/0.78  tff(321,plain,
% 0.81/0.78      (c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_A), c_Message_Omsg_OMPair(v_NA, c_Message_Omsg_OKey(v_K))), c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy, v_evs3)), tc_Message_Omsg) | (v_NA = c_Message_Omsg_ONonce(v_NB)) | (v_A = v_Aa)),
% 0.81/0.78      inference(modus_ponens,[status(thm)],[320, 315])).
% 0.81/0.78  tff(322,plain,
% 0.81/0.78      (c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_A), c_Message_Omsg_OMPair(v_NA, c_Message_Omsg_OKey(v_K))), c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy, v_evs3)), tc_Message_Omsg) | (v_NA = c_Message_Omsg_ONonce(v_NB)) | (v_A = v_Aa)),
% 0.81/0.78      inference(modus_ponens,[status(thm)],[321, 315])).
% 0.81/0.78  tff(323,plain,
% 0.81/0.78      (c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_A), c_Message_Omsg_OMPair(v_NA, c_Message_Omsg_OKey(v_K))), c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy, v_evs3)), tc_Message_Omsg) | (v_NA = c_Message_Omsg_ONonce(v_NB)) | (v_A = v_Aa)),
% 0.81/0.78      inference(modus_ponens,[status(thm)],[322, 315])).
% 0.81/0.78  tff(324,plain,
% 0.81/0.78      (c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_A), c_Message_Omsg_OMPair(v_NA, c_Message_Omsg_OKey(v_K))), c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy, v_evs3)), tc_Message_Omsg) | (v_NA = c_Message_Omsg_ONonce(v_NB)) | (v_A = v_Aa)),
% 0.81/0.78      inference(modus_ponens,[status(thm)],[323, 315])).
% 0.81/0.78  tff(325,plain,
% 0.81/0.78      (c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_A), c_Message_Omsg_OMPair(v_NA, c_Message_Omsg_OKey(v_K))), c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy, v_evs3)), tc_Message_Omsg) | (v_NA = c_Message_Omsg_ONonce(v_NB)) | (v_A = v_Aa)),
% 0.81/0.78      inference(modus_ponens,[status(thm)],[324, 315])).
% 0.81/0.78  tff(326,plain,
% 0.81/0.78      (c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_A), c_Message_Omsg_OMPair(v_NA, c_Message_Omsg_OKey(v_K))), c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy, v_evs3)), tc_Message_Omsg) | (v_NA = c_Message_Omsg_ONonce(v_NB)) | (v_A = v_Aa)),
% 0.81/0.78      inference(modus_ponens,[status(thm)],[325, 315])).
% 0.81/0.78  tff(327,plain,
% 0.81/0.78      (c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_A), c_Message_Omsg_OMPair(v_NA, c_Message_Omsg_OKey(v_K))), c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy, v_evs3)), tc_Message_Omsg) | (v_NA = c_Message_Omsg_ONonce(v_NB)) | (v_A = v_Aa)),
% 0.81/0.78      inference(modus_ponens,[status(thm)],[326, 315])).
% 0.81/0.78  tff(328,plain,
% 0.81/0.78      (c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_A), c_Message_Omsg_OMPair(v_NA, c_Message_Omsg_OKey(v_K))), c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy, v_evs3)), tc_Message_Omsg) | (v_NA = c_Message_Omsg_ONonce(v_NB)) | (v_A = v_Aa)),
% 0.81/0.78      inference(modus_ponens,[status(thm)],[327, 315])).
% 0.81/0.78  tff(329,plain,
% 0.81/0.78      (v_A = v_Aa),
% 0.81/0.78      inference(unit_resolution,[status(thm)],[328, 287, 55])).
% 0.81/0.78  tff(330,plain,
% 0.81/0.78      (![V_BP: $i, V_U: $i] : ((v_NA = c_Message_Omsg_ONonce(v_NB)) | (~(v_K = v_KAB)) | (~(v_A = v_Aa)) | (~(v_NA = c_Message_Omsg_ONonce(v_NAa))) | (~(v_B = v_Ba)) | (~(V_BP = c_Message_Omsg_ONonce(v_NB))) | (~(V_U = c_Message_Omsg_ONonce(v_NB)))) <=> ![V_BP: $i, V_U: $i] : ((v_NA = c_Message_Omsg_ONonce(v_NB)) | (~(v_K = v_KAB)) | (~(v_A = v_Aa)) | (~(v_NA = c_Message_Omsg_ONonce(v_NAa))) | (~(v_B = v_Ba)) | (~(V_BP = c_Message_Omsg_ONonce(v_NB))) | (~(V_U = c_Message_Omsg_ONonce(v_NB))))),
% 0.81/0.78      inference(rewrite,[status(thm)],[])).
% 0.81/0.78  tff(331,plain,
% 0.81/0.78      (^[V_BP: $i, V_U: $i] : trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(rewrite(((~(V_BP = c_Message_Omsg_ONonce(v_NB))) | (~(v_K = v_KAB))) <=> ((~(v_K = v_KAB)) | (~(V_BP = c_Message_Omsg_ONonce(v_NB))))), ((((~(V_BP = c_Message_Omsg_ONonce(v_NB))) | (~(v_K = v_KAB))) | (~(v_A = v_Aa))) <=> (((~(v_K = v_KAB)) | (~(V_BP = c_Message_Omsg_ONonce(v_NB)))) | (~(v_A = v_Aa))))), rewrite((((~(v_K = v_KAB)) | (~(V_BP = c_Message_Omsg_ONonce(v_NB)))) | (~(v_A = v_Aa))) <=> ((~(v_K = v_KAB)) | (~(v_A = v_Aa)) | (~(V_BP = c_Message_Omsg_ONonce(v_NB))))), ((((~(V_BP = c_Message_Omsg_ONonce(v_NB))) | (~(v_K = v_KAB))) | (~(v_A = v_Aa))) <=> ((~(v_K = v_KAB)) | (~(v_A = v_Aa)) | (~(V_BP = c_Message_Omsg_ONonce(v_NB)))))), (((((~(V_BP = c_Message_Omsg_ONonce(v_NB))) | (~(v_K = v_KAB))) | (~(v_A = v_Aa))) | (~(v_NA = c_Message_Omsg_ONonce(v_NAa)))) <=> (((~(v_K = v_KAB)) | (~(v_A = v_Aa)) | (~(V_BP = c_Message_Omsg_ONonce(v_NB)))) | (~(v_NA = c_Message_Omsg_ONonce(v_NAa)))))), rewrite((((~(v_K = v_KAB)) | (~(v_A = v_Aa)) | (~(V_BP = c_Message_Omsg_ONonce(v_NB)))) | (~(v_NA = c_Message_Omsg_ONonce(v_NAa)))) <=> ((~(v_K = v_KAB)) | (~(v_A = v_Aa)) | (~(v_NA = c_Message_Omsg_ONonce(v_NAa))) | (~(V_BP = c_Message_Omsg_ONonce(v_NB))))), (((((~(V_BP = c_Message_Omsg_ONonce(v_NB))) | (~(v_K = v_KAB))) | (~(v_A = v_Aa))) | (~(v_NA = c_Message_Omsg_ONonce(v_NAa)))) <=> ((~(v_K = v_KAB)) | (~(v_A = v_Aa)) | (~(v_NA = c_Message_Omsg_ONonce(v_NAa))) | (~(V_BP = c_Message_Omsg_ONonce(v_NB)))))), ((((((~(V_BP = c_Message_Omsg_ONonce(v_NB))) | (~(v_K = v_KAB))) | (~(v_A = v_Aa))) | (~(v_NA = c_Message_Omsg_ONonce(v_NAa)))) | (v_NA = c_Message_Omsg_ONonce(v_NB))) <=> (((~(v_K = v_KAB)) | (~(v_A = v_Aa)) | (~(v_NA = c_Message_Omsg_ONonce(v_NAa))) | (~(V_BP = c_Message_Omsg_ONonce(v_NB)))) | (v_NA = c_Message_Omsg_ONonce(v_NB))))), rewrite((((~(v_K = v_KAB)) | (~(v_A = v_Aa)) | (~(v_NA = c_Message_Omsg_ONonce(v_NAa))) | (~(V_BP = c_Message_Omsg_ONonce(v_NB)))) | (v_NA = c_Message_Omsg_ONonce(v_NB))) <=> ((v_NA = c_Message_Omsg_ONonce(v_NB)) | (~(v_K = v_KAB)) | (~(v_A = v_Aa)) | (~(v_NA = c_Message_Omsg_ONonce(v_NAa))) | (~(V_BP = c_Message_Omsg_ONonce(v_NB))))), ((((((~(V_BP = c_Message_Omsg_ONonce(v_NB))) | (~(v_K = v_KAB))) | (~(v_A = v_Aa))) | (~(v_NA = c_Message_Omsg_ONonce(v_NAa)))) | (v_NA = c_Message_Omsg_ONonce(v_NB))) <=> ((v_NA = c_Message_Omsg_ONonce(v_NB)) | (~(v_K = v_KAB)) | (~(v_A = v_Aa)) | (~(v_NA = c_Message_Omsg_ONonce(v_NAa))) | (~(V_BP = c_Message_Omsg_ONonce(v_NB)))))), (((((((~(V_BP = c_Message_Omsg_ONonce(v_NB))) | (~(v_K = v_KAB))) | (~(v_A = v_Aa))) | (~(v_NA = c_Message_Omsg_ONonce(v_NAa)))) | (v_NA = c_Message_Omsg_ONonce(v_NB))) | (~(V_U = c_Message_Omsg_ONonce(v_NB)))) <=> (((v_NA = c_Message_Omsg_ONonce(v_NB)) | (~(v_K = v_KAB)) | (~(v_A = v_Aa)) | (~(v_NA = c_Message_Omsg_ONonce(v_NAa))) | (~(V_BP = c_Message_Omsg_ONonce(v_NB)))) | (~(V_U = c_Message_Omsg_ONonce(v_NB)))))), rewrite((((v_NA = c_Message_Omsg_ONonce(v_NB)) | (~(v_K = v_KAB)) | (~(v_A = v_Aa)) | (~(v_NA = c_Message_Omsg_ONonce(v_NAa))) | (~(V_BP = c_Message_Omsg_ONonce(v_NB)))) | (~(V_U = c_Message_Omsg_ONonce(v_NB)))) <=> ((v_NA = c_Message_Omsg_ONonce(v_NB)) | (~(v_K = v_KAB)) | (~(v_A = v_Aa)) | (~(v_NA = c_Message_Omsg_ONonce(v_NAa))) | (~(V_BP = c_Message_Omsg_ONonce(v_NB))) | (~(V_U = c_Message_Omsg_ONonce(v_NB))))), (((((((~(V_BP = c_Message_Omsg_ONonce(v_NB))) | (~(v_K = v_KAB))) | (~(v_A = v_Aa))) | (~(v_NA = c_Message_Omsg_ONonce(v_NAa)))) | (v_NA = c_Message_Omsg_ONonce(v_NB))) | (~(V_U = c_Message_Omsg_ONonce(v_NB)))) <=> ((v_NA = c_Message_Omsg_ONonce(v_NB)) | (~(v_K = v_KAB)) | (~(v_A = v_Aa)) | (~(v_NA = c_Message_Omsg_ONonce(v_NAa))) | (~(V_BP = c_Message_Omsg_ONonce(v_NB))) | (~(V_U = c_Message_Omsg_ONonce(v_NB)))))), ((((((((~(V_BP = c_Message_Omsg_ONonce(v_NB))) | (~(v_K = v_KAB))) | (~(v_A = v_Aa))) | (~(v_NA = c_Message_Omsg_ONonce(v_NAa)))) | (v_NA = c_Message_Omsg_ONonce(v_NB))) | (~(V_U = c_Message_Omsg_ONonce(v_NB)))) | (~(v_B = v_Ba))) <=> (((v_NA = c_Message_Omsg_ONonce(v_NB)) | (~(v_K = v_KAB)) | (~(v_A = v_Aa)) | (~(v_NA = c_Message_Omsg_ONonce(v_NAa))) | (~(V_BP = c_Message_Omsg_ONonce(v_NB))) | (~(V_U = c_Message_Omsg_ONonce(v_NB)))) | (~(v_B = v_Ba))))), rewrite((((v_NA = c_Message_Omsg_ONonce(v_NB)) | (~(v_K = v_KAB)) | (~(v_A = v_Aa)) | (~(v_NA = c_Message_Omsg_ONonce(v_NAa))) | (~(V_BP = c_Message_Omsg_ONonce(v_NB))) | (~(V_U = c_Message_Omsg_ONonce(v_NB)))) | (~(v_B = v_Ba))) <=> ((v_NA = c_Message_Omsg_ONonce(v_NB)) | (~(v_K = v_KAB)) | (~(v_A = v_Aa)) | (~(v_NA = c_Message_Omsg_ONonce(v_NAa))) | (~(v_B = v_Ba)) | (~(V_BP = c_Message_Omsg_ONonce(v_NB))) | (~(V_U = c_Message_Omsg_ONonce(v_NB))))), ((((((((~(V_BP = c_Message_Omsg_ONonce(v_NB))) | (~(v_K = v_KAB))) | (~(v_A = v_Aa))) | (~(v_NA = c_Message_Omsg_ONonce(v_NAa)))) | (v_NA = c_Message_Omsg_ONonce(v_NB))) | (~(V_U = c_Message_Omsg_ONonce(v_NB)))) | (~(v_B = v_Ba))) <=> ((v_NA = c_Message_Omsg_ONonce(v_NB)) | (~(v_K = v_KAB)) | (~(v_A = v_Aa)) | (~(v_NA = c_Message_Omsg_ONonce(v_NAa))) | (~(v_B = v_Ba)) | (~(V_BP = c_Message_Omsg_ONonce(v_NB))) | (~(V_U = c_Message_Omsg_ONonce(v_NB))))))),
% 0.81/0.78      inference(bind,[status(th)],[])).
% 0.81/0.78  tff(332,plain,
% 0.81/0.78      (![V_BP: $i, V_U: $i] : (((((((~(V_BP = c_Message_Omsg_ONonce(v_NB))) | (~(v_K = v_KAB))) | (~(v_A = v_Aa))) | (~(v_NA = c_Message_Omsg_ONonce(v_NAa)))) | (v_NA = c_Message_Omsg_ONonce(v_NB))) | (~(V_U = c_Message_Omsg_ONonce(v_NB)))) | (~(v_B = v_Ba))) <=> ![V_BP: $i, V_U: $i] : ((v_NA = c_Message_Omsg_ONonce(v_NB)) | (~(v_K = v_KAB)) | (~(v_A = v_Aa)) | (~(v_NA = c_Message_Omsg_ONonce(v_NAa))) | (~(v_B = v_Ba)) | (~(V_BP = c_Message_Omsg_ONonce(v_NB))) | (~(V_U = c_Message_Omsg_ONonce(v_NB))))),
% 0.81/0.78      inference(quant_intro,[status(thm)],[331])).
% 0.81/0.78  tff(333,axiom,(![V_BP: $i, V_U: $i] : (((((((~(V_BP = c_Message_Omsg_ONonce(v_NB))) | (~(v_K = v_KAB))) | (~(v_A = v_Aa))) | (~(v_NA = c_Message_Omsg_ONonce(v_NAa)))) | (v_NA = c_Message_Omsg_ONonce(v_NB))) | (~(V_U = c_Message_Omsg_ONonce(v_NB)))) | (~(v_B = v_Ba)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','cls_conjecture_69')).
% 0.81/0.78  tff(334,plain,
% 0.81/0.78      (![V_BP: $i, V_U: $i] : ((v_NA = c_Message_Omsg_ONonce(v_NB)) | (~(v_K = v_KAB)) | (~(v_A = v_Aa)) | (~(v_NA = c_Message_Omsg_ONonce(v_NAa))) | (~(v_B = v_Ba)) | (~(V_BP = c_Message_Omsg_ONonce(v_NB))) | (~(V_U = c_Message_Omsg_ONonce(v_NB))))),
% 0.81/0.78      inference(modus_ponens,[status(thm)],[333, 332])).
% 0.81/0.78  tff(335,plain,
% 0.81/0.78      (![V_BP: $i, V_U: $i] : ((v_NA = c_Message_Omsg_ONonce(v_NB)) | (~(v_K = v_KAB)) | (~(v_A = v_Aa)) | (~(v_NA = c_Message_Omsg_ONonce(v_NAa))) | (~(v_B = v_Ba)) | (~(V_BP = c_Message_Omsg_ONonce(v_NB))) | (~(V_U = c_Message_Omsg_ONonce(v_NB))))),
% 0.81/0.78      inference(modus_ponens,[status(thm)],[334, 330])).
% 0.81/0.78  tff(336,plain,(
% 0.81/0.78      ![V_BP: $i, V_U: $i] : ((v_NA = c_Message_Omsg_ONonce(v_NB)) | (~(v_K = v_KAB)) | (~(v_A = v_Aa)) | (~(v_NA = c_Message_Omsg_ONonce(v_NAa))) | (~(v_B = v_Ba)) | (~(V_BP = c_Message_Omsg_ONonce(v_NB))) | (~(V_U = c_Message_Omsg_ONonce(v_NB))))),
% 0.81/0.78      inference(skolemize,[status(sab)],[335])).
% 0.81/0.78  tff(337,plain,
% 0.81/0.78      (((~![V_BP: $i, V_U: $i] : ((v_NA = c_Message_Omsg_ONonce(v_NB)) | (~(v_K = v_KAB)) | (~(v_A = v_Aa)) | (~(v_NA = c_Message_Omsg_ONonce(v_NAa))) | (~(v_B = v_Ba)) | (~(V_BP = c_Message_Omsg_ONonce(v_NB))) | (~(V_U = c_Message_Omsg_ONonce(v_NB))))) | ((v_NA = c_Message_Omsg_ONonce(v_NB)) | (~(v_K = v_KAB)) | (~(v_A = v_Aa)) | (~(v_NA = c_Message_Omsg_ONonce(v_NAa))) | (~(v_B = v_Ba)))) <=> ((~![V_BP: $i, V_U: $i] : ((v_NA = c_Message_Omsg_ONonce(v_NB)) | (~(v_K = v_KAB)) | (~(v_A = v_Aa)) | (~(v_NA = c_Message_Omsg_ONonce(v_NAa))) | (~(v_B = v_Ba)) | (~(V_BP = c_Message_Omsg_ONonce(v_NB))) | (~(V_U = c_Message_Omsg_ONonce(v_NB))))) | (v_NA = c_Message_Omsg_ONonce(v_NB)) | (~(v_K = v_KAB)) | (~(v_A = v_Aa)) | (~(v_NA = c_Message_Omsg_ONonce(v_NAa))) | (~(v_B = v_Ba)))),
% 0.81/0.78      inference(rewrite,[status(thm)],[])).
% 0.81/0.78  tff(338,plain,
% 0.81/0.78      (((v_NA = c_Message_Omsg_ONonce(v_NB)) | (~(v_K = v_KAB)) | (~(v_A = v_Aa)) | (~(v_NA = c_Message_Omsg_ONonce(v_NAa))) | (~(v_B = v_Ba)) | $false | $false) <=> ((v_NA = c_Message_Omsg_ONonce(v_NB)) | (~(v_K = v_KAB)) | (~(v_A = v_Aa)) | (~(v_NA = c_Message_Omsg_ONonce(v_NAa))) | (~(v_B = v_Ba)))),
% 0.81/0.79      inference(rewrite,[status(thm)],[])).
% 0.81/0.79  tff(339,plain,
% 0.81/0.79      (((v_NA = c_Message_Omsg_ONonce(v_NB)) | (~(v_K = v_KAB)) | (~(v_A = v_Aa)) | (~(v_NA = c_Message_Omsg_ONonce(v_NAa))) | (~(v_B = v_Ba)) | (~(c_Message_Omsg_ONonce(v_NB) = c_Message_Omsg_ONonce(v_NB))) | (~(c_Message_Omsg_ONonce(v_NB) = c_Message_Omsg_ONonce(v_NB)))) <=> ((v_NA = c_Message_Omsg_ONonce(v_NB)) | (~(v_K = v_KAB)) | (~(v_A = v_Aa)) | (~(v_NA = c_Message_Omsg_ONonce(v_NAa))) | (~(v_B = v_Ba)) | $false | $false)),
% 0.81/0.79      inference(monotonicity,[status(thm)],[161, 161])).
% 0.81/0.79  tff(340,plain,
% 0.81/0.79      (((v_NA = c_Message_Omsg_ONonce(v_NB)) | (~(v_K = v_KAB)) | (~(v_A = v_Aa)) | (~(v_NA = c_Message_Omsg_ONonce(v_NAa))) | (~(v_B = v_Ba)) | (~(c_Message_Omsg_ONonce(v_NB) = c_Message_Omsg_ONonce(v_NB))) | (~(c_Message_Omsg_ONonce(v_NB) = c_Message_Omsg_ONonce(v_NB)))) <=> ((v_NA = c_Message_Omsg_ONonce(v_NB)) | (~(v_K = v_KAB)) | (~(v_A = v_Aa)) | (~(v_NA = c_Message_Omsg_ONonce(v_NAa))) | (~(v_B = v_Ba)))),
% 0.81/0.79      inference(transitivity,[status(thm)],[339, 338])).
% 0.81/0.79  tff(341,plain,
% 0.81/0.79      (((~![V_BP: $i, V_U: $i] : ((v_NA = c_Message_Omsg_ONonce(v_NB)) | (~(v_K = v_KAB)) | (~(v_A = v_Aa)) | (~(v_NA = c_Message_Omsg_ONonce(v_NAa))) | (~(v_B = v_Ba)) | (~(V_BP = c_Message_Omsg_ONonce(v_NB))) | (~(V_U = c_Message_Omsg_ONonce(v_NB))))) | ((v_NA = c_Message_Omsg_ONonce(v_NB)) | (~(v_K = v_KAB)) | (~(v_A = v_Aa)) | (~(v_NA = c_Message_Omsg_ONonce(v_NAa))) | (~(v_B = v_Ba)) | (~(c_Message_Omsg_ONonce(v_NB) = c_Message_Omsg_ONonce(v_NB))) | (~(c_Message_Omsg_ONonce(v_NB) = c_Message_Omsg_ONonce(v_NB))))) <=> ((~![V_BP: $i, V_U: $i] : ((v_NA = c_Message_Omsg_ONonce(v_NB)) | (~(v_K = v_KAB)) | (~(v_A = v_Aa)) | (~(v_NA = c_Message_Omsg_ONonce(v_NAa))) | (~(v_B = v_Ba)) | (~(V_BP = c_Message_Omsg_ONonce(v_NB))) | (~(V_U = c_Message_Omsg_ONonce(v_NB))))) | ((v_NA = c_Message_Omsg_ONonce(v_NB)) | (~(v_K = v_KAB)) | (~(v_A = v_Aa)) | (~(v_NA = c_Message_Omsg_ONonce(v_NAa))) | (~(v_B = v_Ba))))),
% 0.81/0.79      inference(monotonicity,[status(thm)],[340])).
% 0.81/0.79  tff(342,plain,
% 0.81/0.79      (((~![V_BP: $i, V_U: $i] : ((v_NA = c_Message_Omsg_ONonce(v_NB)) | (~(v_K = v_KAB)) | (~(v_A = v_Aa)) | (~(v_NA = c_Message_Omsg_ONonce(v_NAa))) | (~(v_B = v_Ba)) | (~(V_BP = c_Message_Omsg_ONonce(v_NB))) | (~(V_U = c_Message_Omsg_ONonce(v_NB))))) | ((v_NA = c_Message_Omsg_ONonce(v_NB)) | (~(v_K = v_KAB)) | (~(v_A = v_Aa)) | (~(v_NA = c_Message_Omsg_ONonce(v_NAa))) | (~(v_B = v_Ba)) | (~(c_Message_Omsg_ONonce(v_NB) = c_Message_Omsg_ONonce(v_NB))) | (~(c_Message_Omsg_ONonce(v_NB) = c_Message_Omsg_ONonce(v_NB))))) <=> ((~![V_BP: $i, V_U: $i] : ((v_NA = c_Message_Omsg_ONonce(v_NB)) | (~(v_K = v_KAB)) | (~(v_A = v_Aa)) | (~(v_NA = c_Message_Omsg_ONonce(v_NAa))) | (~(v_B = v_Ba)) | (~(V_BP = c_Message_Omsg_ONonce(v_NB))) | (~(V_U = c_Message_Omsg_ONonce(v_NB))))) | (v_NA = c_Message_Omsg_ONonce(v_NB)) | (~(v_K = v_KAB)) | (~(v_A = v_Aa)) | (~(v_NA = c_Message_Omsg_ONonce(v_NAa))) | (~(v_B = v_Ba)))),
% 0.81/0.79      inference(transitivity,[status(thm)],[341, 337])).
% 0.81/0.79  tff(343,plain,
% 0.81/0.79      ((~![V_BP: $i, V_U: $i] : ((v_NA = c_Message_Omsg_ONonce(v_NB)) | (~(v_K = v_KAB)) | (~(v_A = v_Aa)) | (~(v_NA = c_Message_Omsg_ONonce(v_NAa))) | (~(v_B = v_Ba)) | (~(V_BP = c_Message_Omsg_ONonce(v_NB))) | (~(V_U = c_Message_Omsg_ONonce(v_NB))))) | ((v_NA = c_Message_Omsg_ONonce(v_NB)) | (~(v_K = v_KAB)) | (~(v_A = v_Aa)) | (~(v_NA = c_Message_Omsg_ONonce(v_NAa))) | (~(v_B = v_Ba)) | (~(c_Message_Omsg_ONonce(v_NB) = c_Message_Omsg_ONonce(v_NB))) | (~(c_Message_Omsg_ONonce(v_NB) = c_Message_Omsg_ONonce(v_NB))))),
% 0.81/0.79      inference(quant_inst,[status(thm)],[])).
% 0.81/0.79  tff(344,plain,
% 0.81/0.79      ((~![V_BP: $i, V_U: $i] : ((v_NA = c_Message_Omsg_ONonce(v_NB)) | (~(v_K = v_KAB)) | (~(v_A = v_Aa)) | (~(v_NA = c_Message_Omsg_ONonce(v_NAa))) | (~(v_B = v_Ba)) | (~(V_BP = c_Message_Omsg_ONonce(v_NB))) | (~(V_U = c_Message_Omsg_ONonce(v_NB))))) | (v_NA = c_Message_Omsg_ONonce(v_NB)) | (~(v_K = v_KAB)) | (~(v_A = v_Aa)) | (~(v_NA = c_Message_Omsg_ONonce(v_NAa))) | (~(v_B = v_Ba))),
% 0.81/0.79      inference(modus_ponens,[status(thm)],[343, 342])).
% 0.81/0.79  tff(345,plain,
% 0.81/0.79      ((v_NA = c_Message_Omsg_ONonce(v_NB)) | (~(v_A = v_Aa)) | (~(v_NA = c_Message_Omsg_ONonce(v_NAa))) | (~(v_B = v_Ba))),
% 0.81/0.79      inference(unit_resolution,[status(thm)],[344, 49, 336])).
% 0.81/0.79  tff(346,plain,
% 0.81/0.79      (~(v_B = v_Ba)),
% 0.81/0.79      inference(unit_resolution,[status(thm)],[345, 287, 329, 303])).
% 0.81/0.79  tff(347,plain,
% 0.81/0.79      (~(v_Ba = v_B)),
% 0.81/0.79      inference(modus_ponens,[status(thm)],[346, 314])).
% 0.81/0.79  tff(348,plain,
% 0.81/0.79      (c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NAa), c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Ba), c_Message_Omsg_OAgent(v_Ba))) = c_Message_Omsg_OMPair(v_NA, c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Ba), c_Message_Omsg_OAgent(v_Ba)))),
% 0.81/0.79      inference(monotonicity,[status(thm)],[304])).
% 0.81/0.79  tff(349,plain,
% 0.81/0.79      (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_OAgent(v_Ba), c_Message_Omsg_OAgent(v_Ba)))) = c_Message_Omsg_OCrypt(c_Public_OshrK(v_Ba), c_Message_Omsg_OMPair(v_NA, c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Ba), c_Message_Omsg_OAgent(v_Ba))))),
% 0.81/0.79      inference(monotonicity,[status(thm)],[348])).
% 0.81/0.79  tff(350,plain,
% 0.81/0.79      (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_OAgent(v_Ba), c_Message_Omsg_OAgent(v_Ba)))), c_Message_Oparts(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(v_NA, c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Ba), c_Message_Omsg_OAgent(v_Ba)))), c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy, v_evs3)), tc_Message_Omsg)),
% 0.81/0.79      inference(monotonicity,[status(thm)],[349])).
% 0.81/0.79  tff(351,plain,
% 0.81/0.79      (c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_Ba), c_Message_Omsg_OMPair(v_NA, c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Ba), c_Message_Omsg_OAgent(v_Ba)))), c_Message_Oparts(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_OAgent(v_Ba), c_Message_Omsg_OAgent(v_Ba)))), c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy, v_evs3)), tc_Message_Omsg)),
% 0.81/0.79      inference(symmetry,[status(thm)],[350])).
% 0.81/0.79  tff(352,plain,
% 0.81/0.79      (v_Aa = v_A),
% 0.81/0.79      inference(symmetry,[status(thm)],[329])).
% 0.81/0.79  tff(353,plain,
% 0.81/0.79      (v_Aa = v_Ba),
% 0.81/0.79      inference(transitivity,[status(thm)],[352, 240])).
% 0.81/0.79  tff(354,plain,
% 0.81/0.79      (c_Message_Omsg_OAgent(v_Aa) = c_Message_Omsg_OAgent(v_Ba)),
% 0.81/0.79      inference(monotonicity,[status(thm)],[353])).
% 0.81/0.79  tff(355,plain,
% 0.81/0.79      (c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa), c_Message_Omsg_OAgent(v_Ba)) = c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Ba), c_Message_Omsg_OAgent(v_Ba))),
% 0.81/0.79      inference(monotonicity,[status(thm)],[354])).
% 0.81/0.79  tff(356,plain,
% 0.81/0.79      (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_OMPair(v_NA, c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Ba), c_Message_Omsg_OAgent(v_Ba)))),
% 0.81/0.79      inference(monotonicity,[status(thm)],[304, 355])).
% 0.81/0.79  tff(357,plain,
% 0.81/0.79      (c_Public_OshrK(v_Aa) = c_Public_OshrK(v_Ba)),
% 0.81/0.79      inference(monotonicity,[status(thm)],[353])).
% 0.81/0.79  tff(358,plain,
% 0.81/0.79      (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(v_NA, c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Ba), c_Message_Omsg_OAgent(v_Ba))))),
% 0.81/0.79      inference(monotonicity,[status(thm)],[357, 356])).
% 0.81/0.79  tff(359,plain,
% 0.81/0.79      (c_in(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_Oparts(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(v_NA, c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Ba), c_Message_Omsg_OAgent(v_Ba)))), c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy, v_evs3)), tc_Message_Omsg)),
% 0.81/0.79      inference(monotonicity,[status(thm)],[358])).
% 0.81/0.79  tff(360,plain,
% 0.81/0.79      (c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_Ba), c_Message_Omsg_OMPair(v_NA, c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Ba), c_Message_Omsg_OAgent(v_Ba)))), c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy, v_evs3)), tc_Message_Omsg)),
% 0.81/0.79      inference(modus_ponens,[status(thm)],[220, 359])).
% 0.81/0.79  tff(361,plain,
% 0.81/0.79      (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_OAgent(v_Ba), c_Message_Omsg_OAgent(v_Ba)))), c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy, v_evs3)), tc_Message_Omsg)),
% 0.81/0.79      inference(modus_ponens,[status(thm)],[360, 351])).
% 0.81/0.79  tff(362,plain,
% 0.81/0.79      (c_in(v_A, c_Event_Obad, tc_Message_Oagent) <=> c_in(v_Ba, c_Event_Obad, tc_Message_Oagent)),
% 0.81/0.79      inference(monotonicity,[status(thm)],[240])).
% 0.81/0.79  tff(363,plain,
% 0.81/0.79      ((~c_in(v_A, c_Event_Obad, tc_Message_Oagent)) <=> (~c_in(v_Ba, c_Event_Obad, tc_Message_Oagent))),
% 0.81/0.79      inference(monotonicity,[status(thm)],[362])).
% 0.81/0.79  tff(364,plain,
% 0.81/0.79      (~c_in(v_Ba, c_Event_Obad, tc_Message_Oagent)),
% 0.81/0.79      inference(modus_ponens,[status(thm)],[79, 363])).
% 0.81/0.79  tff(365,plain,
% 0.81/0.79      (((~![V_NA: $i, V_B: $i, V_A: $i, V_C: $i, V_evs: $i] : ((~c_in(V_evs, c_OtwayRees_Ootway, tc_List_Olist(tc_Event_Oevent))) | (V_B = V_C) | c_in(V_A, c_Event_Obad, tc_Message_Oagent) | (~c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(V_A), c_Message_Omsg_OMPair(V_NA, 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(c_Message_Omsg_OCrypt(c_Public_OshrK(V_A), c_Message_Omsg_OMPair(V_NA, c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(V_A), c_Message_Omsg_OAgent(V_C)))), c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy, V_evs)), tc_Message_Omsg)))) | ((~c_in(v_evs3, c_OtwayRees_Ootway, tc_List_Olist(tc_Event_Oevent))) | c_in(v_Ba, c_Event_Obad, tc_Message_Oagent) | (v_Ba = v_B) | (~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_OAgent(v_Ba), c_Message_Omsg_OAgent(v_Ba)))), c_Message_Oparts(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_OAgent(v_Ba), c_Message_Omsg_OAgent(v_B)))), c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy, v_evs3)), tc_Message_Omsg)))) <=> ((~![V_NA: $i, V_B: $i, V_A: $i, V_C: $i, V_evs: $i] : ((~c_in(V_evs, c_OtwayRees_Ootway, tc_List_Olist(tc_Event_Oevent))) | (V_B = V_C) | c_in(V_A, c_Event_Obad, tc_Message_Oagent) | (~c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(V_A), c_Message_Omsg_OMPair(V_NA, 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(c_Message_Omsg_OCrypt(c_Public_OshrK(V_A), c_Message_Omsg_OMPair(V_NA, c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(V_A), c_Message_Omsg_OAgent(V_C)))), c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy, V_evs)), tc_Message_Omsg)))) | (~c_in(v_evs3, c_OtwayRees_Ootway, tc_List_Olist(tc_Event_Oevent))) | c_in(v_Ba, c_Event_Obad, tc_Message_Oagent) | (v_Ba = v_B) | (~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_OAgent(v_Ba), c_Message_Omsg_OAgent(v_Ba)))), c_Message_Oparts(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_OAgent(v_Ba), c_Message_Omsg_OAgent(v_B)))), c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy, v_evs3)), tc_Message_Omsg)))),
% 0.81/0.79      inference(rewrite,[status(thm)],[])).
% 0.81/0.79  tff(366,plain,
% 0.81/0.79      (((~c_in(v_evs3, c_OtwayRees_Ootway, tc_List_Olist(tc_Event_Oevent))) | (v_Ba = v_B) | 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_OAgent(v_Ba), c_Message_Omsg_OAgent(v_Ba)))), c_Message_Oparts(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_OAgent(v_Ba), c_Message_Omsg_OAgent(v_B)))), 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_Ba, c_Event_Obad, tc_Message_Oagent) | (v_Ba = v_B) | (~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_OAgent(v_Ba), c_Message_Omsg_OAgent(v_Ba)))), c_Message_Oparts(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_OAgent(v_Ba), c_Message_Omsg_OAgent(v_B)))), c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy, v_evs3)), tc_Message_Omsg)))),
% 0.81/0.79      inference(rewrite,[status(thm)],[])).
% 0.81/0.79  tff(367,plain,
% 0.81/0.79      (((~![V_NA: $i, V_B: $i, V_A: $i, V_C: $i, V_evs: $i] : ((~c_in(V_evs, c_OtwayRees_Ootway, tc_List_Olist(tc_Event_Oevent))) | (V_B = V_C) | c_in(V_A, c_Event_Obad, tc_Message_Oagent) | (~c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(V_A), c_Message_Omsg_OMPair(V_NA, 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(c_Message_Omsg_OCrypt(c_Public_OshrK(V_A), c_Message_Omsg_OMPair(V_NA, c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(V_A), c_Message_Omsg_OAgent(V_C)))), c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy, V_evs)), tc_Message_Omsg)))) | ((~c_in(v_evs3, c_OtwayRees_Ootway, tc_List_Olist(tc_Event_Oevent))) | (v_Ba = v_B) | 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_OAgent(v_Ba), c_Message_Omsg_OAgent(v_Ba)))), c_Message_Oparts(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_OAgent(v_Ba), c_Message_Omsg_OAgent(v_B)))), c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy, v_evs3)), tc_Message_Omsg)))) <=> ((~![V_NA: $i, V_B: $i, V_A: $i, V_C: $i, V_evs: $i] : ((~c_in(V_evs, c_OtwayRees_Ootway, tc_List_Olist(tc_Event_Oevent))) | (V_B = V_C) | c_in(V_A, c_Event_Obad, tc_Message_Oagent) | (~c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(V_A), c_Message_Omsg_OMPair(V_NA, 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(c_Message_Omsg_OCrypt(c_Public_OshrK(V_A), c_Message_Omsg_OMPair(V_NA, c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(V_A), c_Message_Omsg_OAgent(V_C)))), c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy, V_evs)), tc_Message_Omsg)))) | ((~c_in(v_evs3, c_OtwayRees_Ootway, tc_List_Olist(tc_Event_Oevent))) | c_in(v_Ba, c_Event_Obad, tc_Message_Oagent) | (v_Ba = v_B) | (~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_OAgent(v_Ba), c_Message_Omsg_OAgent(v_Ba)))), c_Message_Oparts(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_OAgent(v_Ba), c_Message_Omsg_OAgent(v_B)))), c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy, v_evs3)), tc_Message_Omsg))))),
% 0.81/0.79      inference(monotonicity,[status(thm)],[366])).
% 0.81/0.79  tff(368,plain,
% 0.81/0.79      (((~![V_NA: $i, V_B: $i, V_A: $i, V_C: $i, V_evs: $i] : ((~c_in(V_evs, c_OtwayRees_Ootway, tc_List_Olist(tc_Event_Oevent))) | (V_B = V_C) | c_in(V_A, c_Event_Obad, tc_Message_Oagent) | (~c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(V_A), c_Message_Omsg_OMPair(V_NA, 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(c_Message_Omsg_OCrypt(c_Public_OshrK(V_A), c_Message_Omsg_OMPair(V_NA, c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(V_A), c_Message_Omsg_OAgent(V_C)))), c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy, V_evs)), tc_Message_Omsg)))) | ((~c_in(v_evs3, c_OtwayRees_Ootway, tc_List_Olist(tc_Event_Oevent))) | (v_Ba = v_B) | 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_OAgent(v_Ba), c_Message_Omsg_OAgent(v_Ba)))), c_Message_Oparts(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_OAgent(v_Ba), c_Message_Omsg_OAgent(v_B)))), c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy, v_evs3)), tc_Message_Omsg)))) <=> ((~![V_NA: $i, V_B: $i, V_A: $i, V_C: $i, V_evs: $i] : ((~c_in(V_evs, c_OtwayRees_Ootway, tc_List_Olist(tc_Event_Oevent))) | (V_B = V_C) | c_in(V_A, c_Event_Obad, tc_Message_Oagent) | (~c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(V_A), c_Message_Omsg_OMPair(V_NA, 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(c_Message_Omsg_OCrypt(c_Public_OshrK(V_A), c_Message_Omsg_OMPair(V_NA, c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(V_A), c_Message_Omsg_OAgent(V_C)))), c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy, V_evs)), tc_Message_Omsg)))) | (~c_in(v_evs3, c_OtwayRees_Ootway, tc_List_Olist(tc_Event_Oevent))) | c_in(v_Ba, c_Event_Obad, tc_Message_Oagent) | (v_Ba = v_B) | (~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_OAgent(v_Ba), c_Message_Omsg_OAgent(v_Ba)))), c_Message_Oparts(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_OAgent(v_Ba), c_Message_Omsg_OAgent(v_B)))), c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy, v_evs3)), tc_Message_Omsg)))),
% 0.81/0.79      inference(transitivity,[status(thm)],[367, 365])).
% 0.81/0.79  tff(369,plain,
% 0.81/0.79      ((~![V_NA: $i, V_B: $i, V_A: $i, V_C: $i, V_evs: $i] : ((~c_in(V_evs, c_OtwayRees_Ootway, tc_List_Olist(tc_Event_Oevent))) | (V_B = V_C) | c_in(V_A, c_Event_Obad, tc_Message_Oagent) | (~c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(V_A), c_Message_Omsg_OMPair(V_NA, 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(c_Message_Omsg_OCrypt(c_Public_OshrK(V_A), c_Message_Omsg_OMPair(V_NA, c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(V_A), c_Message_Omsg_OAgent(V_C)))), c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy, V_evs)), tc_Message_Omsg)))) | ((~c_in(v_evs3, c_OtwayRees_Ootway, tc_List_Olist(tc_Event_Oevent))) | (v_Ba = v_B) | 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_OAgent(v_Ba), c_Message_Omsg_OAgent(v_Ba)))), c_Message_Oparts(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_OAgent(v_Ba), c_Message_Omsg_OAgent(v_B)))), c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy, v_evs3)), tc_Message_Omsg)))),
% 0.81/0.79      inference(quant_inst,[status(thm)],[])).
% 0.81/0.79  tff(370,plain,
% 0.81/0.79      ((~![V_NA: $i, V_B: $i, V_A: $i, V_C: $i, V_evs: $i] : ((~c_in(V_evs, c_OtwayRees_Ootway, tc_List_Olist(tc_Event_Oevent))) | (V_B = V_C) | c_in(V_A, c_Event_Obad, tc_Message_Oagent) | (~c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(V_A), c_Message_Omsg_OMPair(V_NA, 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(c_Message_Omsg_OCrypt(c_Public_OshrK(V_A), c_Message_Omsg_OMPair(V_NA, c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(V_A), c_Message_Omsg_OAgent(V_C)))), c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy, V_evs)), tc_Message_Omsg)))) | (~c_in(v_evs3, c_OtwayRees_Ootway, tc_List_Olist(tc_Event_Oevent))) | c_in(v_Ba, c_Event_Obad, tc_Message_Oagent) | (v_Ba = v_B) | (~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_OAgent(v_Ba), c_Message_Omsg_OAgent(v_Ba)))), c_Message_Oparts(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_OAgent(v_Ba), c_Message_Omsg_OAgent(v_B)))), c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy, v_evs3)), tc_Message_Omsg))),
% 0.81/0.79      inference(modus_ponens,[status(thm)],[369, 368])).
% 0.81/0.79  tff(371,plain,
% 0.81/0.79      ((v_Ba = v_B) | (~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_OAgent(v_Ba), c_Message_Omsg_OAgent(v_Ba)))), c_Message_Oparts(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_OAgent(v_Ba), c_Message_Omsg_OAgent(v_B)))), c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy, v_evs3)), tc_Message_Omsg))),
% 0.81/0.79      inference(unit_resolution,[status(thm)],[370, 230, 175, 364])).
% 0.81/0.79  tff(372,plain,
% 0.81/0.79      ($false),
% 0.81/0.79      inference(unit_resolution,[status(thm)],[371, 361, 347, 311])).
% 0.81/0.79  tff(373,plain,(c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_A), c_Message_Omsg_OMPair(v_NA, c_Message_Omsg_OKey(v_K))), c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy, v_evs3)), tc_Message_Omsg)), inference(lemma,lemma(discharge,[]))).
% 0.81/0.79  tff(374,plain,
% 0.81/0.79      (^[V_H: $i, V_X: $i, V_K: $i] : refl(((~c_in(c_Message_Omsg_OCrypt(V_K, V_X), c_Message_Oparts(V_H), tc_Message_Omsg)) | c_in(V_X, c_Message_Oparts(V_H), tc_Message_Omsg)) <=> ((~c_in(c_Message_Omsg_OCrypt(V_K, V_X), c_Message_Oparts(V_H), tc_Message_Omsg)) | c_in(V_X, c_Message_Oparts(V_H), tc_Message_Omsg)))),
% 0.81/0.79      inference(bind,[status(th)],[])).
% 0.81/0.79  tff(375,plain,
% 0.81/0.79      (![V_H: $i, V_X: $i, V_K: $i] : ((~c_in(c_Message_Omsg_OCrypt(V_K, V_X), c_Message_Oparts(V_H), tc_Message_Omsg)) | c_in(V_X, c_Message_Oparts(V_H), tc_Message_Omsg)) <=> ![V_H: $i, V_X: $i, V_K: $i] : ((~c_in(c_Message_Omsg_OCrypt(V_K, V_X), c_Message_Oparts(V_H), tc_Message_Omsg)) | c_in(V_X, c_Message_Oparts(V_H), tc_Message_Omsg))),
% 0.81/0.79      inference(quant_intro,[status(thm)],[374])).
% 0.81/0.79  tff(376,plain,
% 0.81/0.79      (![V_H: $i, V_X: $i, V_K: $i] : ((~c_in(c_Message_Omsg_OCrypt(V_K, V_X), c_Message_Oparts(V_H), tc_Message_Omsg)) | c_in(V_X, c_Message_Oparts(V_H), tc_Message_Omsg)) <=> ![V_H: $i, V_X: $i, V_K: $i] : ((~c_in(c_Message_Omsg_OCrypt(V_K, V_X), c_Message_Oparts(V_H), tc_Message_Omsg)) | c_in(V_X, c_Message_Oparts(V_H), tc_Message_Omsg))),
% 0.81/0.79      inference(rewrite,[status(thm)],[])).
% 0.81/0.79  tff(377,axiom,(![V_H: $i, V_X: $i, V_K: $i] : ((~c_in(c_Message_Omsg_OCrypt(V_K, V_X), c_Message_Oparts(V_H), tc_Message_Omsg)) | c_in(V_X, c_Message_Oparts(V_H), tc_Message_Omsg))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','cls_Message_Oparts_OBody__dest_0')).
% 0.81/0.79  tff(378,plain,
% 0.81/0.79      (![V_H: $i, V_X: $i, V_K: $i] : ((~c_in(c_Message_Omsg_OCrypt(V_K, V_X), c_Message_Oparts(V_H), tc_Message_Omsg)) | c_in(V_X, c_Message_Oparts(V_H), tc_Message_Omsg))),
% 0.81/0.79      inference(modus_ponens,[status(thm)],[377, 376])).
% 0.81/0.79  tff(379,plain,(
% 0.81/0.79      ![V_H: $i, V_X: $i, V_K: $i] : ((~c_in(c_Message_Omsg_OCrypt(V_K, V_X), c_Message_Oparts(V_H), tc_Message_Omsg)) | c_in(V_X, c_Message_Oparts(V_H), tc_Message_Omsg))),
% 0.81/0.79      inference(skolemize,[status(sab)],[378])).
% 0.81/0.79  tff(380,plain,
% 0.81/0.79      (![V_H: $i, V_X: $i, V_K: $i] : ((~c_in(c_Message_Omsg_OCrypt(V_K, V_X), c_Message_Oparts(V_H), tc_Message_Omsg)) | c_in(V_X, c_Message_Oparts(V_H), tc_Message_Omsg))),
% 0.81/0.79      inference(modus_ponens,[status(thm)],[379, 375])).
% 0.81/0.79  tff(381,plain,
% 0.81/0.79      (((~![V_H: $i, V_X: $i, V_K: $i] : ((~c_in(c_Message_Omsg_OCrypt(V_K, V_X), c_Message_Oparts(V_H), tc_Message_Omsg)) | c_in(V_X, c_Message_Oparts(V_H), tc_Message_Omsg))) | ((~c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_A), c_Message_Omsg_OMPair(v_NA, c_Message_Omsg_OKey(v_K))), c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy, v_evs3)), tc_Message_Omsg)) | c_in(c_Message_Omsg_OMPair(v_NA, c_Message_Omsg_OKey(v_K)), c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy, v_evs3)), tc_Message_Omsg))) <=> ((~![V_H: $i, V_X: $i, V_K: $i] : ((~c_in(c_Message_Omsg_OCrypt(V_K, V_X), c_Message_Oparts(V_H), tc_Message_Omsg)) | c_in(V_X, c_Message_Oparts(V_H), tc_Message_Omsg))) | (~c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_A), c_Message_Omsg_OMPair(v_NA, c_Message_Omsg_OKey(v_K))), c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy, v_evs3)), tc_Message_Omsg)) | c_in(c_Message_Omsg_OMPair(v_NA, c_Message_Omsg_OKey(v_K)), c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy, v_evs3)), tc_Message_Omsg))),
% 0.81/0.79      inference(rewrite,[status(thm)],[])).
% 0.81/0.79  tff(382,plain,
% 0.81/0.79      ((~![V_H: $i, V_X: $i, V_K: $i] : ((~c_in(c_Message_Omsg_OCrypt(V_K, V_X), c_Message_Oparts(V_H), tc_Message_Omsg)) | c_in(V_X, c_Message_Oparts(V_H), tc_Message_Omsg))) | ((~c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_A), c_Message_Omsg_OMPair(v_NA, c_Message_Omsg_OKey(v_K))), c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy, v_evs3)), tc_Message_Omsg)) | c_in(c_Message_Omsg_OMPair(v_NA, c_Message_Omsg_OKey(v_K)), c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy, v_evs3)), tc_Message_Omsg))),
% 0.81/0.79      inference(quant_inst,[status(thm)],[])).
% 0.81/0.79  tff(383,plain,
% 0.81/0.79      ((~![V_H: $i, V_X: $i, V_K: $i] : ((~c_in(c_Message_Omsg_OCrypt(V_K, V_X), c_Message_Oparts(V_H), tc_Message_Omsg)) | c_in(V_X, c_Message_Oparts(V_H), tc_Message_Omsg))) | (~c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_A), c_Message_Omsg_OMPair(v_NA, c_Message_Omsg_OKey(v_K))), c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy, v_evs3)), tc_Message_Omsg)) | c_in(c_Message_Omsg_OMPair(v_NA, c_Message_Omsg_OKey(v_K)), c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy, v_evs3)), tc_Message_Omsg)),
% 0.81/0.79      inference(modus_ponens,[status(thm)],[382, 381])).
% 0.81/0.79  tff(384,plain,
% 0.81/0.79      (c_in(c_Message_Omsg_OMPair(v_NA, c_Message_Omsg_OKey(v_K)), c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy, v_evs3)), tc_Message_Omsg)),
% 0.81/0.79      inference(unit_resolution,[status(thm)],[383, 380, 373])).
% 0.81/0.79  tff(385,plain,
% 0.81/0.79      (^[V_c: $i, V_evs: $i] : refl(((~c_in(V_c, c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy, V_evs)), tc_Message_Omsg)) | c_in(V_c, c_Event_Oused(V_evs), tc_Message_Omsg)) <=> ((~c_in(V_c, c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy, V_evs)), tc_Message_Omsg)) | c_in(V_c, c_Event_Oused(V_evs), tc_Message_Omsg)))),
% 0.81/0.79      inference(bind,[status(th)],[])).
% 0.81/0.79  tff(386,plain,
% 0.81/0.79      (![V_c: $i, V_evs: $i] : ((~c_in(V_c, c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy, V_evs)), tc_Message_Omsg)) | c_in(V_c, c_Event_Oused(V_evs), tc_Message_Omsg)) <=> ![V_c: $i, V_evs: $i] : ((~c_in(V_c, c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy, V_evs)), tc_Message_Omsg)) | c_in(V_c, c_Event_Oused(V_evs), tc_Message_Omsg))),
% 0.81/0.79      inference(quant_intro,[status(thm)],[385])).
% 0.81/0.79  tff(387,plain,
% 0.81/0.79      (![V_c: $i, V_evs: $i] : ((~c_in(V_c, c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy, V_evs)), tc_Message_Omsg)) | c_in(V_c, c_Event_Oused(V_evs), tc_Message_Omsg)) <=> ![V_c: $i, V_evs: $i] : ((~c_in(V_c, c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy, V_evs)), tc_Message_Omsg)) | c_in(V_c, c_Event_Oused(V_evs), tc_Message_Omsg))),
% 0.81/0.79      inference(rewrite,[status(thm)],[])).
% 0.81/0.79  tff(388,axiom,(![V_c: $i, V_evs: $i] : ((~c_in(V_c, c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy, V_evs)), tc_Message_Omsg)) | c_in(V_c, c_Event_Oused(V_evs), tc_Message_Omsg))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','cls_Event_Oc_A_58_Aparts_A_Iknows_ASpy_Aevs1_J_A_61_61_62_Ac_A_58_Aused_Aevs1_0')).
% 0.81/0.79  tff(389,plain,
% 0.81/0.79      (![V_c: $i, V_evs: $i] : ((~c_in(V_c, c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy, V_evs)), tc_Message_Omsg)) | c_in(V_c, c_Event_Oused(V_evs), tc_Message_Omsg))),
% 0.81/0.79      inference(modus_ponens,[status(thm)],[388, 387])).
% 0.81/0.79  tff(390,plain,(
% 0.81/0.79      ![V_c: $i, V_evs: $i] : ((~c_in(V_c, c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy, V_evs)), tc_Message_Omsg)) | c_in(V_c, c_Event_Oused(V_evs), tc_Message_Omsg))),
% 0.81/0.79      inference(skolemize,[status(sab)],[389])).
% 0.81/0.79  tff(391,plain,
% 0.81/0.79      (![V_c: $i, V_evs: $i] : ((~c_in(V_c, c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy, V_evs)), tc_Message_Omsg)) | c_in(V_c, c_Event_Oused(V_evs), tc_Message_Omsg))),
% 0.81/0.79      inference(modus_ponens,[status(thm)],[390, 386])).
% 0.81/0.79  tff(392,plain,
% 0.81/0.79      (((~![V_c: $i, V_evs: $i] : ((~c_in(V_c, c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy, V_evs)), tc_Message_Omsg)) | c_in(V_c, c_Event_Oused(V_evs), tc_Message_Omsg))) | ((~c_in(c_Message_Omsg_OMPair(v_NA, c_Message_Omsg_OKey(v_K)), c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy, v_evs3)), tc_Message_Omsg)) | c_in(c_Message_Omsg_OMPair(v_NA, c_Message_Omsg_OKey(v_K)), c_Event_Oused(v_evs3), tc_Message_Omsg))) <=> ((~![V_c: $i, V_evs: $i] : ((~c_in(V_c, c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy, V_evs)), tc_Message_Omsg)) | c_in(V_c, c_Event_Oused(V_evs), tc_Message_Omsg))) | (~c_in(c_Message_Omsg_OMPair(v_NA, c_Message_Omsg_OKey(v_K)), c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy, v_evs3)), tc_Message_Omsg)) | c_in(c_Message_Omsg_OMPair(v_NA, c_Message_Omsg_OKey(v_K)), c_Event_Oused(v_evs3), tc_Message_Omsg))),
% 0.81/0.79      inference(rewrite,[status(thm)],[])).
% 0.81/0.79  tff(393,plain,
% 0.81/0.79      ((~![V_c: $i, V_evs: $i] : ((~c_in(V_c, c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy, V_evs)), tc_Message_Omsg)) | c_in(V_c, c_Event_Oused(V_evs), tc_Message_Omsg))) | ((~c_in(c_Message_Omsg_OMPair(v_NA, c_Message_Omsg_OKey(v_K)), c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy, v_evs3)), tc_Message_Omsg)) | c_in(c_Message_Omsg_OMPair(v_NA, c_Message_Omsg_OKey(v_K)), c_Event_Oused(v_evs3), tc_Message_Omsg))),
% 0.81/0.79      inference(quant_inst,[status(thm)],[])).
% 0.81/0.79  tff(394,plain,
% 0.81/0.79      ((~![V_c: $i, V_evs: $i] : ((~c_in(V_c, c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy, V_evs)), tc_Message_Omsg)) | c_in(V_c, c_Event_Oused(V_evs), tc_Message_Omsg))) | (~c_in(c_Message_Omsg_OMPair(v_NA, c_Message_Omsg_OKey(v_K)), c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy, v_evs3)), tc_Message_Omsg)) | c_in(c_Message_Omsg_OMPair(v_NA, c_Message_Omsg_OKey(v_K)), c_Event_Oused(v_evs3), tc_Message_Omsg)),
% 0.81/0.79      inference(modus_ponens,[status(thm)],[393, 392])).
% 0.81/0.79  tff(395,plain,
% 0.81/0.79      (c_in(c_Message_Omsg_OMPair(v_NA, c_Message_Omsg_OKey(v_K)), c_Event_Oused(v_evs3), tc_Message_Omsg)),
% 0.81/0.79      inference(unit_resolution,[status(thm)],[394, 391, 384])).
% 0.81/0.79  tff(396,plain,
% 0.81/0.79      (c_in(c_Message_Omsg_OMPair(v_NA, c_Message_Omsg_OKey(v_KAB)), c_Event_Oused(v_evs3), tc_Message_Omsg)),
% 0.81/0.79      inference(modus_ponens,[status(thm)],[395, 54])).
% 0.81/0.79  tff(397,plain,
% 0.81/0.79      ((~c_in(c_Message_Omsg_OKey(v_KAB), c_Event_Oused(v_evs3), tc_Message_Omsg)) <=> (~c_in(c_Message_Omsg_OKey(v_KAB), c_Event_Oused(v_evs3), tc_Message_Omsg))),
% 0.81/0.79      inference(rewrite,[status(thm)],[])).
% 0.81/0.79  tff(398,axiom,(~c_in(c_Message_Omsg_OKey(v_KAB), c_Event_Oused(v_evs3), tc_Message_Omsg)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','cls_conjecture_2')).
% 0.81/0.79  tff(399,plain,
% 0.81/0.79      (~c_in(c_Message_Omsg_OKey(v_KAB), c_Event_Oused(v_evs3), tc_Message_Omsg)),
% 0.81/0.79      inference(modus_ponens,[status(thm)],[398, 397])).
% 0.81/0.80  tff(400,plain,
% 0.81/0.80      (^[V_Y: $i, V_H: $i, V_X: $i] : refl(((~c_in(c_Message_Omsg_OMPair(V_X, V_Y), c_Event_Oused(V_H), tc_Message_Omsg)) | c_in(V_Y, c_Event_Oused(V_H), tc_Message_Omsg)) <=> ((~c_in(c_Message_Omsg_OMPair(V_X, V_Y), c_Event_Oused(V_H), tc_Message_Omsg)) | c_in(V_Y, c_Event_Oused(V_H), tc_Message_Omsg)))),
% 0.81/0.80      inference(bind,[status(th)],[])).
% 0.81/0.80  tff(401,plain,
% 0.81/0.80      (![V_Y: $i, V_H: $i, V_X: $i] : ((~c_in(c_Message_Omsg_OMPair(V_X, V_Y), c_Event_Oused(V_H), tc_Message_Omsg)) | c_in(V_Y, c_Event_Oused(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_Event_Oused(V_H), tc_Message_Omsg)) | c_in(V_Y, c_Event_Oused(V_H), tc_Message_Omsg))),
% 0.81/0.80      inference(quant_intro,[status(thm)],[400])).
% 0.81/0.80  tff(402,plain,
% 0.81/0.80      (![V_Y: $i, V_H: $i, V_X: $i] : ((~c_in(c_Message_Omsg_OMPair(V_X, V_Y), c_Event_Oused(V_H), tc_Message_Omsg)) | c_in(V_Y, c_Event_Oused(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_Event_Oused(V_H), tc_Message_Omsg)) | c_in(V_Y, c_Event_Oused(V_H), tc_Message_Omsg))),
% 0.81/0.80      inference(rewrite,[status(thm)],[])).
% 0.81/0.80  tff(403,axiom,(![V_Y: $i, V_H: $i, V_X: $i] : ((~c_in(c_Message_Omsg_OMPair(V_X, V_Y), c_Event_Oused(V_H), tc_Message_Omsg)) | c_in(V_Y, c_Event_Oused(V_H), tc_Message_Omsg))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','cls_Public_OMPair__used_0')).
% 0.81/0.80  tff(404,plain,
% 0.81/0.80      (![V_Y: $i, V_H: $i, V_X: $i] : ((~c_in(c_Message_Omsg_OMPair(V_X, V_Y), c_Event_Oused(V_H), tc_Message_Omsg)) | c_in(V_Y, c_Event_Oused(V_H), tc_Message_Omsg))),
% 0.81/0.80      inference(modus_ponens,[status(thm)],[403, 402])).
% 0.81/0.80  tff(405,plain,(
% 0.81/0.80      ![V_Y: $i, V_H: $i, V_X: $i] : ((~c_in(c_Message_Omsg_OMPair(V_X, V_Y), c_Event_Oused(V_H), tc_Message_Omsg)) | c_in(V_Y, c_Event_Oused(V_H), tc_Message_Omsg))),
% 0.81/0.80      inference(skolemize,[status(sab)],[404])).
% 0.81/0.80  tff(406,plain,
% 0.81/0.80      (![V_Y: $i, V_H: $i, V_X: $i] : ((~c_in(c_Message_Omsg_OMPair(V_X, V_Y), c_Event_Oused(V_H), tc_Message_Omsg)) | c_in(V_Y, c_Event_Oused(V_H), tc_Message_Omsg))),
% 0.81/0.80      inference(modus_ponens,[status(thm)],[405, 401])).
% 0.81/0.80  tff(407,plain,
% 0.81/0.80      (((~![V_Y: $i, V_H: $i, V_X: $i] : ((~c_in(c_Message_Omsg_OMPair(V_X, V_Y), c_Event_Oused(V_H), tc_Message_Omsg)) | c_in(V_Y, c_Event_Oused(V_H), tc_Message_Omsg))) | ((~c_in(c_Message_Omsg_OMPair(v_NA, c_Message_Omsg_OKey(v_KAB)), c_Event_Oused(v_evs3), tc_Message_Omsg)) | c_in(c_Message_Omsg_OKey(v_KAB), c_Event_Oused(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_Event_Oused(V_H), tc_Message_Omsg)) | c_in(V_Y, c_Event_Oused(V_H), tc_Message_Omsg))) | (~c_in(c_Message_Omsg_OMPair(v_NA, c_Message_Omsg_OKey(v_KAB)), c_Event_Oused(v_evs3), tc_Message_Omsg)) | c_in(c_Message_Omsg_OKey(v_KAB), c_Event_Oused(v_evs3), tc_Message_Omsg))),
% 0.81/0.80      inference(rewrite,[status(thm)],[])).
% 0.81/0.80  tff(408,plain,
% 0.81/0.80      ((~![V_Y: $i, V_H: $i, V_X: $i] : ((~c_in(c_Message_Omsg_OMPair(V_X, V_Y), c_Event_Oused(V_H), tc_Message_Omsg)) | c_in(V_Y, c_Event_Oused(V_H), tc_Message_Omsg))) | ((~c_in(c_Message_Omsg_OMPair(v_NA, c_Message_Omsg_OKey(v_KAB)), c_Event_Oused(v_evs3), tc_Message_Omsg)) | c_in(c_Message_Omsg_OKey(v_KAB), c_Event_Oused(v_evs3), tc_Message_Omsg))),
% 0.81/0.80      inference(quant_inst,[status(thm)],[])).
% 0.81/0.80  tff(409,plain,
% 0.81/0.80      ((~![V_Y: $i, V_H: $i, V_X: $i] : ((~c_in(c_Message_Omsg_OMPair(V_X, V_Y), c_Event_Oused(V_H), tc_Message_Omsg)) | c_in(V_Y, c_Event_Oused(V_H), tc_Message_Omsg))) | (~c_in(c_Message_Omsg_OMPair(v_NA, c_Message_Omsg_OKey(v_KAB)), c_Event_Oused(v_evs3), tc_Message_Omsg)) | c_in(c_Message_Omsg_OKey(v_KAB), c_Event_Oused(v_evs3), tc_Message_Omsg)),
% 0.81/0.80      inference(modus_ponens,[status(thm)],[408, 407])).
% 0.81/0.80  tff(410,plain,
% 0.81/0.80      (~c_in(c_Message_Omsg_OMPair(v_NA, c_Message_Omsg_OKey(v_KAB)), c_Event_Oused(v_evs3), tc_Message_Omsg)),
% 0.81/0.80      inference(unit_resolution,[status(thm)],[409, 406, 399])).
% 0.81/0.80  tff(411,plain,
% 0.81/0.80      ($false),
% 0.81/0.80      inference(unit_resolution,[status(thm)],[410, 396])).
% 0.81/0.80  % SZS output end Proof
%------------------------------------------------------------------------------