TSTP Solution File: SWV304-1 by Z3---4.8.9.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Z3---4.8.9.0
% Problem : SWV304-1 : TPTP v8.1.0. Released v3.2.0.
% Transfm : none
% Format : tptp
% Command : z3_tptp -proof -model -t:%d -file:%s
% Computer : n013.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Thu Sep 29 15:11:00 EDT 2022
% Result : Unsatisfiable 11.82s 7.91s
% Output : Proof 12.02s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SWV304-1 : TPTP v8.1.0. Released v3.2.0.
% 0.07/0.13 % Command : z3_tptp -proof -model -t:%d -file:%s
% 0.14/0.34 % Computer : n013.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 02:14:32 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.
% 11.82/7.91 % SZS status Unsatisfiable
% 11.82/7.91 % SZS output start Proof
% 11.82/7.91 tff(c_in_type, type, (
% 11.82/7.91 c_in: ( $i * $i * $i ) > $o)).
% 11.82/7.91 tff(tc_Event_Oevent_type, type, (
% 11.82/7.91 tc_Event_Oevent: $i)).
% 11.82/7.91 tff(c_List_Oset_type, type, (
% 11.82/7.91 c_List_Oset: ( $i * $i ) > $i)).
% 11.82/7.91 tff(v_evs4_type, type, (
% 11.82/7.91 v_evs4: $i)).
% 11.82/7.91 tff(c_Event_Oevent_OSays_type, type, (
% 11.82/7.91 c_Event_Oevent_OSays: ( $i * $i * $i ) > $i)).
% 11.82/7.91 tff(c_Message_Omsg_OMPair_type, type, (
% 11.82/7.91 c_Message_Omsg_OMPair: ( $i * $i ) > $i)).
% 11.82/7.91 tff(c_Message_Omsg_OCrypt_type, type, (
% 11.82/7.91 c_Message_Omsg_OCrypt: ( $i * $i ) > $i)).
% 11.82/7.91 tff(c_Message_Omsg_OAgent_type, type, (
% 11.82/7.91 c_Message_Omsg_OAgent: $i > $i)).
% 11.82/7.91 tff(v_B_type, type, (
% 11.82/7.91 v_B: $i)).
% 11.82/7.91 tff(v_A_type, type, (
% 11.82/7.91 v_A: $i)).
% 11.82/7.91 tff(v_NB_type, type, (
% 11.82/7.91 v_NB: $i)).
% 11.82/7.91 tff(v_NA_type, type, (
% 11.82/7.91 v_NA: $i)).
% 11.82/7.91 tff(c_Public_OshrK_type, type, (
% 11.82/7.91 c_Public_OshrK: $i > $i)).
% 11.82/7.91 tff(v_sko__u__1_type, type, (
% 11.82/7.91 v_sko__u__1: ( $i * $i * $i * $i * $i ) > $i)).
% 11.82/7.91 tff(c_Message_Omsg_ONonce_type, type, (
% 11.82/7.91 c_Message_Omsg_ONonce: $i > $i)).
% 11.82/7.91 tff(v_NAa_type, type, (
% 11.82/7.91 v_NAa: $i)).
% 11.82/7.92 tff(v_Ba_type, type, (
% 11.82/7.92 v_Ba: $i)).
% 11.82/7.92 tff(c_Message_Oagent_OServer_type, type, (
% 11.82/7.92 c_Message_Oagent_OServer: $i)).
% 11.82/7.92 tff(v_x_type, type, (
% 11.82/7.92 v_x: $i)).
% 11.82/7.92 tff(tc_Message_Omsg_type, type, (
% 11.82/7.92 tc_Message_Omsg: $i)).
% 11.82/7.92 tff(c_Message_Oparts_type, type, (
% 11.82/7.92 c_Message_Oparts: $i > $i)).
% 11.82/7.92 tff(c_Event_Oknows_type, type, (
% 11.82/7.92 c_Event_Oknows: ( $i * $i ) > $i)).
% 11.82/7.92 tff(c_Message_Oagent_OSpy_type, type, (
% 11.82/7.92 c_Message_Oagent_OSpy: $i)).
% 11.82/7.92 tff(c_Message_Omsg_OKey_type, type, (
% 11.82/7.92 c_Message_Omsg_OKey: $i > $i)).
% 11.82/7.92 tff(v_K_type, type, (
% 11.82/7.92 v_K: $i)).
% 11.82/7.92 tff(c_Message_Oanalz_type, type, (
% 11.82/7.92 c_Message_Oanalz: $i > $i)).
% 11.82/7.92 tff(tc_List_Olist_type, type, (
% 11.82/7.92 tc_List_Olist: $i > $i)).
% 11.82/7.92 tff(c_OtwayRees_Ootway_type, type, (
% 11.82/7.92 c_OtwayRees_Ootway: $i)).
% 11.82/7.92 tff(tc_Message_Oagent_type, type, (
% 11.82/7.92 tc_Message_Oagent: $i)).
% 11.82/7.92 tff(c_Event_Obad_type, type, (
% 11.82/7.92 c_Event_Obad: $i)).
% 11.82/7.92 tff(c_Message_Osynth_type, type, (
% 11.82/7.92 c_Message_Osynth: $i > $i)).
% 11.82/7.92 tff(c_union_type, type, (
% 11.82/7.92 c_union: ( $i * $i * $i ) > $i)).
% 11.82/7.92 tff(v_X_type, type, (
% 11.82/7.92 v_X: $i)).
% 11.82/7.92 tff(v_Ka_type, type, (
% 11.82/7.92 v_Ka: $i)).
% 11.82/7.92 tff(v_NBa_type, type, (
% 11.82/7.92 v_NBa: $i)).
% 11.82/7.92 tff(v_sko__usf_type, type, (
% 11.82/7.92 v_sko__usf: ( $i * $i * $i ) > $i)).
% 11.82/7.92 tff(c_Event_Oevent_OGets_type, type, (
% 11.82/7.92 c_Event_Oevent_OGets: ( $i * $i ) > $i)).
% 11.82/7.92 tff(c_insert_type, type, (
% 11.82/7.92 c_insert: ( $i * $i * $i ) > $i)).
% 11.82/7.92 tff(1,assumption,(~c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_B), c_Message_Omsg_OMPair(v_NB, c_Message_Omsg_OKey(v_K))), c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy, v_evs4)), tc_Message_Omsg)), introduced(assumption)).
% 11.82/7.92 tff(2,plain,
% 11.82/7.92 (^[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)))),
% 11.82/7.92 inference(bind,[status(th)],[])).
% 11.82/7.92 tff(3,plain,
% 11.82/7.92 (![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))),
% 11.82/7.92 inference(quant_intro,[status(thm)],[2])).
% 11.82/7.92 tff(4,plain,
% 11.82/7.92 (![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))),
% 11.82/7.92 inference(rewrite,[status(thm)],[])).
% 11.82/7.92 tff(5,axiom,(![V_c: $i, V_H: $i] : ((~c_in(V_c, c_Message_Oanalz(V_H), tc_Message_Omsg)) | c_in(V_c, c_Message_Oparts(V_H), tc_Message_Omsg))), file('/export/starexec/sandbox/benchmark/Axioms/SWV006-1.ax','cls_Message_Oanalz__into__parts__dest_0')).
% 11.82/7.92 tff(6,plain,
% 11.82/7.92 (![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))),
% 11.82/7.92 inference(modus_ponens,[status(thm)],[5, 4])).
% 11.82/7.92 tff(7,plain,(
% 11.82/7.92 ![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))),
% 11.96/7.92 inference(skolemize,[status(sab)],[6])).
% 11.96/7.92 tff(8,plain,
% 11.96/7.92 (![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))),
% 11.96/7.92 inference(modus_ponens,[status(thm)],[7, 3])).
% 11.96/7.92 tff(9,plain,
% 11.96/7.92 (((~![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_B), c_Message_Omsg_OMPair(v_NB, c_Message_Omsg_OKey(v_K))), c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy, v_evs4)), tc_Message_Omsg)) | c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_B), c_Message_Omsg_OMPair(v_NB, c_Message_Omsg_OKey(v_K))), c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy, v_evs4)), 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_B), c_Message_Omsg_OMPair(v_NB, c_Message_Omsg_OKey(v_K))), c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy, v_evs4)), tc_Message_Omsg)) | c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_B), c_Message_Omsg_OMPair(v_NB, c_Message_Omsg_OKey(v_K))), c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy, v_evs4)), tc_Message_Omsg))),
% 11.96/7.92 inference(rewrite,[status(thm)],[])).
% 11.96/7.92 tff(10,plain,
% 11.96/7.92 ((~![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_B), c_Message_Omsg_OMPair(v_NB, c_Message_Omsg_OKey(v_K))), c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy, v_evs4)), tc_Message_Omsg)) | c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_B), c_Message_Omsg_OMPair(v_NB, c_Message_Omsg_OKey(v_K))), c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy, v_evs4)), tc_Message_Omsg))),
% 11.96/7.92 inference(quant_inst,[status(thm)],[])).
% 11.96/7.92 tff(11,plain,
% 11.96/7.92 ((~![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_B), c_Message_Omsg_OMPair(v_NB, c_Message_Omsg_OKey(v_K))), c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy, v_evs4)), tc_Message_Omsg)) | c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_B), c_Message_Omsg_OMPair(v_NB, c_Message_Omsg_OKey(v_K))), c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy, v_evs4)), tc_Message_Omsg)),
% 11.96/7.92 inference(modus_ponens,[status(thm)],[10, 9])).
% 11.96/7.92 tff(12,plain,
% 11.96/7.92 (~c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_B), c_Message_Omsg_OMPair(v_NB, c_Message_Omsg_OKey(v_K))), c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy, v_evs4)), tc_Message_Omsg)),
% 11.96/7.92 inference(unit_resolution,[status(thm)],[11, 8, 1])).
% 11.96/7.92 tff(13,assumption,(c_in(c_Message_Omsg_OKey(c_Public_OshrK(v_B)), c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy, v_evs4)), tc_Message_Omsg)), introduced(assumption)).
% 11.96/7.92 tff(14,plain,
% 11.96/7.92 (c_in(v_evs4, c_OtwayRees_Ootway, tc_List_Olist(tc_Event_Oevent)) <=> c_in(v_evs4, c_OtwayRees_Ootway, tc_List_Olist(tc_Event_Oevent))),
% 11.96/7.92 inference(rewrite,[status(thm)],[])).
% 11.96/7.92 tff(15,axiom,(c_in(v_evs4, c_OtwayRees_Ootway, tc_List_Olist(tc_Event_Oevent))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','cls_conjecture_1')).
% 11.96/7.92 tff(16,plain,
% 11.96/7.92 (c_in(v_evs4, c_OtwayRees_Ootway, tc_List_Olist(tc_Event_Oevent))),
% 11.96/7.92 inference(modus_ponens,[status(thm)],[15, 14])).
% 11.96/7.92 tff(17,plain,
% 11.96/7.92 ((~c_in(v_B, c_Event_Obad, tc_Message_Oagent)) <=> (~c_in(v_B, c_Event_Obad, tc_Message_Oagent))),
% 11.96/7.92 inference(rewrite,[status(thm)],[])).
% 11.96/7.92 tff(18,axiom,(~c_in(v_B, c_Event_Obad, tc_Message_Oagent)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','cls_conjecture_0')).
% 11.96/7.92 tff(19,plain,
% 11.96/7.92 (~c_in(v_B, c_Event_Obad, tc_Message_Oagent)),
% 11.96/7.92 inference(modus_ponens,[status(thm)],[18, 17])).
% 11.96/7.92 tff(20,plain,
% 11.96/7.92 (^[V_A: $i, V_evs: $i] : refl((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_OKey(c_Public_OshrK(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(c_Message_Omsg_OKey(c_Public_OshrK(V_A)), c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy, V_evs)), tc_Message_Omsg))))),
% 11.96/7.92 inference(bind,[status(th)],[])).
% 11.96/7.92 tff(21,plain,
% 11.96/7.92 (![V_A: $i, V_evs: $i] : (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_OKey(c_Public_OshrK(V_A)), c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy, V_evs)), tc_Message_Omsg))) <=> ![V_A: $i, V_evs: $i] : (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_OKey(c_Public_OshrK(V_A)), c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy, V_evs)), tc_Message_Omsg)))),
% 11.96/7.92 inference(quant_intro,[status(thm)],[20])).
% 11.96/7.92 tff(22,plain,
% 11.96/7.92 (![V_A: $i, V_evs: $i] : (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_OKey(c_Public_OshrK(V_A)), c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy, V_evs)), tc_Message_Omsg))) <=> ![V_A: $i, V_evs: $i] : (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_OKey(c_Public_OshrK(V_A)), c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy, V_evs)), tc_Message_Omsg)))),
% 11.96/7.92 inference(rewrite,[status(thm)],[])).
% 11.96/7.92 tff(23,plain,
% 11.96/7.92 (^[V_A: $i, V_evs: $i] : rewrite((((~c_in(V_evs, c_OtwayRees_Ootway, tc_List_Olist(tc_Event_Oevent))) | (~c_in(c_Message_Omsg_OKey(c_Public_OshrK(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_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_OKey(c_Public_OshrK(V_A)), c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy, V_evs)), tc_Message_Omsg))))),
% 11.96/7.92 inference(bind,[status(th)],[])).
% 11.96/7.92 tff(24,plain,
% 11.96/7.92 (![V_A: $i, V_evs: $i] : (((~c_in(V_evs, c_OtwayRees_Ootway, tc_List_Olist(tc_Event_Oevent))) | (~c_in(c_Message_Omsg_OKey(c_Public_OshrK(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)) <=> ![V_A: $i, V_evs: $i] : (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_OKey(c_Public_OshrK(V_A)), c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy, V_evs)), tc_Message_Omsg)))),
% 11.96/7.92 inference(quant_intro,[status(thm)],[23])).
% 11.96/7.92 tff(25,axiom,(![V_A: $i, V_evs: $i] : (((~c_in(V_evs, c_OtwayRees_Ootway, tc_List_Olist(tc_Event_Oevent))) | (~c_in(c_Message_Omsg_OKey(c_Public_OshrK(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))), file('/export/starexec/sandbox/benchmark/Axioms/SWV006-1.ax','cls_OtwayRees_OSpy__see__shrK__D__dest_0')).
% 11.96/7.92 tff(26,plain,
% 11.96/7.92 (![V_A: $i, V_evs: $i] : (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_OKey(c_Public_OshrK(V_A)), c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy, V_evs)), tc_Message_Omsg)))),
% 11.96/7.92 inference(modus_ponens,[status(thm)],[25, 24])).
% 11.96/7.92 tff(27,plain,
% 11.96/7.92 (![V_A: $i, V_evs: $i] : (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_OKey(c_Public_OshrK(V_A)), c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy, V_evs)), tc_Message_Omsg)))),
% 11.96/7.92 inference(modus_ponens,[status(thm)],[26, 22])).
% 11.96/7.92 tff(28,plain,(
% 11.96/7.92 ![V_A: $i, V_evs: $i] : (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_OKey(c_Public_OshrK(V_A)), c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy, V_evs)), tc_Message_Omsg)))),
% 11.96/7.92 inference(skolemize,[status(sab)],[27])).
% 11.96/7.92 tff(29,plain,
% 11.96/7.92 (![V_A: $i, V_evs: $i] : (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_OKey(c_Public_OshrK(V_A)), c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy, V_evs)), tc_Message_Omsg)))),
% 11.96/7.92 inference(modus_ponens,[status(thm)],[28, 21])).
% 11.96/7.92 tff(30,plain,
% 11.96/7.92 (((~![V_A: $i, V_evs: $i] : (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_OKey(c_Public_OshrK(V_A)), c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy, V_evs)), tc_Message_Omsg)))) | (c_in(v_B, c_Event_Obad, tc_Message_Oagent) | (~c_in(v_evs4, c_OtwayRees_Ootway, tc_List_Olist(tc_Event_Oevent))) | (~c_in(c_Message_Omsg_OKey(c_Public_OshrK(v_B)), c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy, v_evs4)), tc_Message_Omsg)))) <=> ((~![V_A: $i, V_evs: $i] : (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_OKey(c_Public_OshrK(V_A)), c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy, V_evs)), tc_Message_Omsg)))) | c_in(v_B, c_Event_Obad, tc_Message_Oagent) | (~c_in(v_evs4, c_OtwayRees_Ootway, tc_List_Olist(tc_Event_Oevent))) | (~c_in(c_Message_Omsg_OKey(c_Public_OshrK(v_B)), c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy, v_evs4)), tc_Message_Omsg)))),
% 11.96/7.92 inference(rewrite,[status(thm)],[])).
% 11.96/7.92 tff(31,plain,
% 11.96/7.92 ((~![V_A: $i, V_evs: $i] : (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_OKey(c_Public_OshrK(V_A)), c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy, V_evs)), tc_Message_Omsg)))) | (c_in(v_B, c_Event_Obad, tc_Message_Oagent) | (~c_in(v_evs4, c_OtwayRees_Ootway, tc_List_Olist(tc_Event_Oevent))) | (~c_in(c_Message_Omsg_OKey(c_Public_OshrK(v_B)), c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy, v_evs4)), tc_Message_Omsg)))),
% 11.96/7.92 inference(quant_inst,[status(thm)],[])).
% 11.96/7.92 tff(32,plain,
% 11.96/7.92 ((~![V_A: $i, V_evs: $i] : (c_in(V_A, c_Event_Obad, tc_Message_Oagent) | (~c_in(V_evs, c_OtwayRees_Ootway, tc_List_Olist(tc_Event_Oevent))) | (~c_in(c_Message_Omsg_OKey(c_Public_OshrK(V_A)), c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy, V_evs)), tc_Message_Omsg)))) | c_in(v_B, c_Event_Obad, tc_Message_Oagent) | (~c_in(v_evs4, c_OtwayRees_Ootway, tc_List_Olist(tc_Event_Oevent))) | (~c_in(c_Message_Omsg_OKey(c_Public_OshrK(v_B)), c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy, v_evs4)), tc_Message_Omsg))),
% 11.96/7.92 inference(modus_ponens,[status(thm)],[31, 30])).
% 11.96/7.92 tff(33,plain,
% 11.96/7.92 ($false),
% 11.96/7.92 inference(unit_resolution,[status(thm)],[32, 29, 19, 16, 13])).
% 11.96/7.92 tff(34,plain,(~c_in(c_Message_Omsg_OKey(c_Public_OshrK(v_B)), c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy, v_evs4)), tc_Message_Omsg)), inference(lemma,lemma(discharge,[]))).
% 11.96/7.92 tff(35,plain,
% 11.96/7.92 (((~![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_OKey(c_Public_OshrK(v_B)), c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy, v_evs4)), tc_Message_Omsg)) | c_in(c_Message_Omsg_OKey(c_Public_OshrK(v_B)), c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy, v_evs4)), 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_OKey(c_Public_OshrK(v_B)), c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy, v_evs4)), tc_Message_Omsg)) | c_in(c_Message_Omsg_OKey(c_Public_OshrK(v_B)), c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy, v_evs4)), tc_Message_Omsg))),
% 11.96/7.92 inference(rewrite,[status(thm)],[])).
% 11.96/7.92 tff(36,plain,
% 11.96/7.92 ((~![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_OKey(c_Public_OshrK(v_B)), c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy, v_evs4)), tc_Message_Omsg)) | c_in(c_Message_Omsg_OKey(c_Public_OshrK(v_B)), c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy, v_evs4)), tc_Message_Omsg))),
% 11.96/7.92 inference(quant_inst,[status(thm)],[])).
% 11.96/7.92 tff(37,plain,
% 11.96/7.92 ((~![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_OKey(c_Public_OshrK(v_B)), c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy, v_evs4)), tc_Message_Omsg)) | c_in(c_Message_Omsg_OKey(c_Public_OshrK(v_B)), c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy, v_evs4)), tc_Message_Omsg)),
% 11.96/7.92 inference(modus_ponens,[status(thm)],[36, 35])).
% 11.96/7.92 tff(38,plain,
% 11.96/7.92 (~c_in(c_Message_Omsg_OKey(c_Public_OshrK(v_B)), c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy, v_evs4)), tc_Message_Omsg)),
% 11.96/7.92 inference(unit_resolution,[status(thm)],[37, 8, 34])).
% 11.96/7.92 tff(39,plain,
% 11.96/7.92 (c_in(c_Event_Oevent_OGets(v_Ba, c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NAa), c_Message_Omsg_OMPair(v_X, c_Message_Omsg_OCrypt(c_Public_OshrK(v_Ba), c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NBa), c_Message_Omsg_OKey(v_Ka)))))), c_List_Oset(v_evs4, tc_Event_Oevent), tc_Event_Oevent) <=> c_in(c_Event_Oevent_OGets(v_Ba, c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NAa), c_Message_Omsg_OMPair(v_X, c_Message_Omsg_OCrypt(c_Public_OshrK(v_Ba), c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NBa), c_Message_Omsg_OKey(v_Ka)))))), c_List_Oset(v_evs4, tc_Event_Oevent), tc_Event_Oevent)),
% 11.96/7.92 inference(rewrite,[status(thm)],[])).
% 11.96/7.92 tff(40,axiom,(c_in(c_Event_Oevent_OGets(v_Ba, c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NAa), c_Message_Omsg_OMPair(v_X, c_Message_Omsg_OCrypt(c_Public_OshrK(v_Ba), c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NBa), c_Message_Omsg_OKey(v_Ka)))))), c_List_Oset(v_evs4, tc_Event_Oevent), tc_Event_Oevent)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','cls_conjecture_4')).
% 11.96/7.92 tff(41,plain,
% 11.96/7.92 (c_in(c_Event_Oevent_OGets(v_Ba, c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NAa), c_Message_Omsg_OMPair(v_X, c_Message_Omsg_OCrypt(c_Public_OshrK(v_Ba), c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NBa), c_Message_Omsg_OKey(v_Ka)))))), c_List_Oset(v_evs4, tc_Event_Oevent), tc_Event_Oevent)),
% 11.96/7.92 inference(modus_ponens,[status(thm)],[40, 39])).
% 11.96/7.92 tff(42,plain,
% 11.96/7.92 (^[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)))))),
% 11.96/7.92 inference(bind,[status(th)],[])).
% 11.96/7.92 tff(43,plain,
% 11.96/7.92 (![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))))),
% 11.96/7.92 inference(quant_intro,[status(thm)],[42])).
% 11.96/7.92 tff(44,plain,
% 11.96/7.92 (![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))))),
% 11.96/7.92 inference(rewrite,[status(thm)],[])).
% 11.96/7.92 tff(45,plain,
% 11.96/7.92 (^[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))))))),
% 11.96/7.92 inference(bind,[status(th)],[])).
% 11.96/7.92 tff(46,plain,
% 11.96/7.92 (![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))))),
% 11.96/7.92 inference(quant_intro,[status(thm)],[45])).
% 11.96/7.92 tff(47,axiom,(![V_X: $i, V_B: $i, V_evs: $i] : (((~c_in(V_evs, c_OtwayRees_Ootway, tc_List_Olist(tc_Event_Oevent))) | (~c_in(c_Event_Oevent_OGets(V_B, V_X), c_List_Oset(V_evs, tc_Event_Oevent), tc_Event_Oevent))) | c_in(c_Event_Oevent_OSays(v_sko__usf(V_B, V_X, V_evs), V_B, V_X), c_List_Oset(V_evs, tc_Event_Oevent), tc_Event_Oevent))), file('/export/starexec/sandbox/benchmark/Axioms/SWV006-1.ax','cls_OtwayRees_OGets__imp__Says__dest_0')).
% 11.96/7.92 tff(48,plain,
% 11.96/7.92 (![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))))),
% 11.96/7.92 inference(modus_ponens,[status(thm)],[47, 46])).
% 11.96/7.92 tff(49,plain,
% 11.96/7.92 (![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))))),
% 11.96/7.92 inference(modus_ponens,[status(thm)],[48, 44])).
% 11.96/7.92 tff(50,plain,(
% 11.96/7.92 ![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))))),
% 11.96/7.92 inference(skolemize,[status(sab)],[49])).
% 11.96/7.92 tff(51,plain,
% 11.96/7.92 (![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))))),
% 11.96/7.92 inference(modus_ponens,[status(thm)],[50, 43])).
% 11.96/7.92 tff(52,plain,
% 11.96/7.92 (((~![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_OGets(v_Ba, c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NAa), c_Message_Omsg_OMPair(v_X, c_Message_Omsg_OCrypt(c_Public_OshrK(v_Ba), c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NBa), c_Message_Omsg_OKey(v_Ka)))))), c_List_Oset(v_evs4, tc_Event_Oevent), tc_Event_Oevent)) | c_in(c_Event_Oevent_OSays(v_sko__usf(v_Ba, c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NAa), c_Message_Omsg_OMPair(v_X, c_Message_Omsg_OCrypt(c_Public_OshrK(v_Ba), c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NBa), c_Message_Omsg_OKey(v_Ka))))), v_evs4), v_Ba, c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NAa), c_Message_Omsg_OMPair(v_X, c_Message_Omsg_OCrypt(c_Public_OshrK(v_Ba), c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NBa), c_Message_Omsg_OKey(v_Ka)))))), c_List_Oset(v_evs4, tc_Event_Oevent), tc_Event_Oevent) | (~c_in(v_evs4, 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_OGets(v_Ba, c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NAa), c_Message_Omsg_OMPair(v_X, c_Message_Omsg_OCrypt(c_Public_OshrK(v_Ba), c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NBa), c_Message_Omsg_OKey(v_Ka)))))), c_List_Oset(v_evs4, tc_Event_Oevent), tc_Event_Oevent)) | c_in(c_Event_Oevent_OSays(v_sko__usf(v_Ba, c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NAa), c_Message_Omsg_OMPair(v_X, c_Message_Omsg_OCrypt(c_Public_OshrK(v_Ba), c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NBa), c_Message_Omsg_OKey(v_Ka))))), v_evs4), v_Ba, c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NAa), c_Message_Omsg_OMPair(v_X, c_Message_Omsg_OCrypt(c_Public_OshrK(v_Ba), c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NBa), c_Message_Omsg_OKey(v_Ka)))))), c_List_Oset(v_evs4, tc_Event_Oevent), tc_Event_Oevent) | (~c_in(v_evs4, c_OtwayRees_Ootway, tc_List_Olist(tc_Event_Oevent))))),
% 11.96/7.92 inference(rewrite,[status(thm)],[])).
% 11.96/7.92 tff(53,plain,
% 11.96/7.92 ((c_in(c_Event_Oevent_OSays(v_sko__usf(v_Ba, c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NAa), c_Message_Omsg_OMPair(v_X, c_Message_Omsg_OCrypt(c_Public_OshrK(v_Ba), c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NBa), c_Message_Omsg_OKey(v_Ka))))), v_evs4), v_Ba, c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NAa), c_Message_Omsg_OMPair(v_X, c_Message_Omsg_OCrypt(c_Public_OshrK(v_Ba), c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NBa), c_Message_Omsg_OKey(v_Ka)))))), c_List_Oset(v_evs4, tc_Event_Oevent), tc_Event_Oevent) | (~c_in(c_Event_Oevent_OGets(v_Ba, c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NAa), c_Message_Omsg_OMPair(v_X, c_Message_Omsg_OCrypt(c_Public_OshrK(v_Ba), c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NBa), c_Message_Omsg_OKey(v_Ka)))))), c_List_Oset(v_evs4, tc_Event_Oevent), tc_Event_Oevent)) | (~c_in(v_evs4, c_OtwayRees_Ootway, tc_List_Olist(tc_Event_Oevent)))) <=> ((~c_in(c_Event_Oevent_OGets(v_Ba, c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NAa), c_Message_Omsg_OMPair(v_X, c_Message_Omsg_OCrypt(c_Public_OshrK(v_Ba), c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NBa), c_Message_Omsg_OKey(v_Ka)))))), c_List_Oset(v_evs4, tc_Event_Oevent), tc_Event_Oevent)) | c_in(c_Event_Oevent_OSays(v_sko__usf(v_Ba, c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NAa), c_Message_Omsg_OMPair(v_X, c_Message_Omsg_OCrypt(c_Public_OshrK(v_Ba), c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NBa), c_Message_Omsg_OKey(v_Ka))))), v_evs4), v_Ba, c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NAa), c_Message_Omsg_OMPair(v_X, c_Message_Omsg_OCrypt(c_Public_OshrK(v_Ba), c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NBa), c_Message_Omsg_OKey(v_Ka)))))), c_List_Oset(v_evs4, tc_Event_Oevent), tc_Event_Oevent) | (~c_in(v_evs4, c_OtwayRees_Ootway, tc_List_Olist(tc_Event_Oevent))))),
% 11.96/7.92 inference(rewrite,[status(thm)],[])).
% 11.96/7.92 tff(54,plain,
% 11.96/7.92 (((~![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(v_Ba, c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NAa), c_Message_Omsg_OMPair(v_X, c_Message_Omsg_OCrypt(c_Public_OshrK(v_Ba), c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NBa), c_Message_Omsg_OKey(v_Ka))))), v_evs4), v_Ba, c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NAa), c_Message_Omsg_OMPair(v_X, c_Message_Omsg_OCrypt(c_Public_OshrK(v_Ba), c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NBa), c_Message_Omsg_OKey(v_Ka)))))), c_List_Oset(v_evs4, tc_Event_Oevent), tc_Event_Oevent) | (~c_in(c_Event_Oevent_OGets(v_Ba, c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NAa), c_Message_Omsg_OMPair(v_X, c_Message_Omsg_OCrypt(c_Public_OshrK(v_Ba), c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NBa), c_Message_Omsg_OKey(v_Ka)))))), c_List_Oset(v_evs4, tc_Event_Oevent), tc_Event_Oevent)) | (~c_in(v_evs4, 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_OGets(v_Ba, c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NAa), c_Message_Omsg_OMPair(v_X, c_Message_Omsg_OCrypt(c_Public_OshrK(v_Ba), c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NBa), c_Message_Omsg_OKey(v_Ka)))))), c_List_Oset(v_evs4, tc_Event_Oevent), tc_Event_Oevent)) | c_in(c_Event_Oevent_OSays(v_sko__usf(v_Ba, c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NAa), c_Message_Omsg_OMPair(v_X, c_Message_Omsg_OCrypt(c_Public_OshrK(v_Ba), c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NBa), c_Message_Omsg_OKey(v_Ka))))), v_evs4), v_Ba, c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NAa), c_Message_Omsg_OMPair(v_X, c_Message_Omsg_OCrypt(c_Public_OshrK(v_Ba), c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NBa), c_Message_Omsg_OKey(v_Ka)))))), c_List_Oset(v_evs4, tc_Event_Oevent), tc_Event_Oevent) | (~c_in(v_evs4, c_OtwayRees_Ootway, tc_List_Olist(tc_Event_Oevent)))))),
% 11.96/7.92 inference(monotonicity,[status(thm)],[53])).
% 11.96/7.92 tff(55,plain,
% 11.96/7.92 (((~![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(v_Ba, c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NAa), c_Message_Omsg_OMPair(v_X, c_Message_Omsg_OCrypt(c_Public_OshrK(v_Ba), c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NBa), c_Message_Omsg_OKey(v_Ka))))), v_evs4), v_Ba, c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NAa), c_Message_Omsg_OMPair(v_X, c_Message_Omsg_OCrypt(c_Public_OshrK(v_Ba), c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NBa), c_Message_Omsg_OKey(v_Ka)))))), c_List_Oset(v_evs4, tc_Event_Oevent), tc_Event_Oevent) | (~c_in(c_Event_Oevent_OGets(v_Ba, c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NAa), c_Message_Omsg_OMPair(v_X, c_Message_Omsg_OCrypt(c_Public_OshrK(v_Ba), c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NBa), c_Message_Omsg_OKey(v_Ka)))))), c_List_Oset(v_evs4, tc_Event_Oevent), tc_Event_Oevent)) | (~c_in(v_evs4, 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_OGets(v_Ba, c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NAa), c_Message_Omsg_OMPair(v_X, c_Message_Omsg_OCrypt(c_Public_OshrK(v_Ba), c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NBa), c_Message_Omsg_OKey(v_Ka)))))), c_List_Oset(v_evs4, tc_Event_Oevent), tc_Event_Oevent)) | c_in(c_Event_Oevent_OSays(v_sko__usf(v_Ba, c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NAa), c_Message_Omsg_OMPair(v_X, c_Message_Omsg_OCrypt(c_Public_OshrK(v_Ba), c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NBa), c_Message_Omsg_OKey(v_Ka))))), v_evs4), v_Ba, c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NAa), c_Message_Omsg_OMPair(v_X, c_Message_Omsg_OCrypt(c_Public_OshrK(v_Ba), c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NBa), c_Message_Omsg_OKey(v_Ka)))))), c_List_Oset(v_evs4, tc_Event_Oevent), tc_Event_Oevent) | (~c_in(v_evs4, c_OtwayRees_Ootway, tc_List_Olist(tc_Event_Oevent))))),
% 11.96/7.92 inference(transitivity,[status(thm)],[54, 52])).
% 11.96/7.92 tff(56,plain,
% 11.96/7.92 ((~![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(v_Ba, c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NAa), c_Message_Omsg_OMPair(v_X, c_Message_Omsg_OCrypt(c_Public_OshrK(v_Ba), c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NBa), c_Message_Omsg_OKey(v_Ka))))), v_evs4), v_Ba, c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NAa), c_Message_Omsg_OMPair(v_X, c_Message_Omsg_OCrypt(c_Public_OshrK(v_Ba), c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NBa), c_Message_Omsg_OKey(v_Ka)))))), c_List_Oset(v_evs4, tc_Event_Oevent), tc_Event_Oevent) | (~c_in(c_Event_Oevent_OGets(v_Ba, c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NAa), c_Message_Omsg_OMPair(v_X, c_Message_Omsg_OCrypt(c_Public_OshrK(v_Ba), c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NBa), c_Message_Omsg_OKey(v_Ka)))))), c_List_Oset(v_evs4, tc_Event_Oevent), tc_Event_Oevent)) | (~c_in(v_evs4, c_OtwayRees_Ootway, tc_List_Olist(tc_Event_Oevent))))),
% 11.96/7.92 inference(quant_inst,[status(thm)],[])).
% 11.96/7.92 tff(57,plain,
% 11.96/7.92 ((~![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_OGets(v_Ba, c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NAa), c_Message_Omsg_OMPair(v_X, c_Message_Omsg_OCrypt(c_Public_OshrK(v_Ba), c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NBa), c_Message_Omsg_OKey(v_Ka)))))), c_List_Oset(v_evs4, tc_Event_Oevent), tc_Event_Oevent)) | c_in(c_Event_Oevent_OSays(v_sko__usf(v_Ba, c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NAa), c_Message_Omsg_OMPair(v_X, c_Message_Omsg_OCrypt(c_Public_OshrK(v_Ba), c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NBa), c_Message_Omsg_OKey(v_Ka))))), v_evs4), v_Ba, c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NAa), c_Message_Omsg_OMPair(v_X, c_Message_Omsg_OCrypt(c_Public_OshrK(v_Ba), c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NBa), c_Message_Omsg_OKey(v_Ka)))))), c_List_Oset(v_evs4, tc_Event_Oevent), tc_Event_Oevent) | (~c_in(v_evs4, c_OtwayRees_Ootway, tc_List_Olist(tc_Event_Oevent)))),
% 11.96/7.93 inference(modus_ponens,[status(thm)],[56, 55])).
% 11.96/7.93 tff(58,plain,
% 11.96/7.93 (c_in(c_Event_Oevent_OSays(v_sko__usf(v_Ba, c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NAa), c_Message_Omsg_OMPair(v_X, c_Message_Omsg_OCrypt(c_Public_OshrK(v_Ba), c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NBa), c_Message_Omsg_OKey(v_Ka))))), v_evs4), v_Ba, c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NAa), c_Message_Omsg_OMPair(v_X, c_Message_Omsg_OCrypt(c_Public_OshrK(v_Ba), c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NBa), c_Message_Omsg_OKey(v_Ka)))))), c_List_Oset(v_evs4, tc_Event_Oevent), tc_Event_Oevent)),
% 11.96/7.93 inference(unit_resolution,[status(thm)],[57, 51, 16, 41])).
% 11.96/7.93 tff(59,plain,
% 11.96/7.93 (^[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)))),
% 11.96/7.93 inference(bind,[status(th)],[])).
% 11.96/7.93 tff(60,plain,
% 11.96/7.93 (![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))),
% 11.96/7.93 inference(quant_intro,[status(thm)],[59])).
% 11.96/7.93 tff(61,plain,
% 11.96/7.93 (![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))),
% 11.96/7.93 inference(rewrite,[status(thm)],[])).
% 11.96/7.93 tff(62,axiom,(![V_X: $i, V_B: $i, V_A: $i, V_evs: $i] : ((~c_in(c_Event_Oevent_OSays(V_A, V_B, V_X), c_List_Oset(V_evs, tc_Event_Oevent), tc_Event_Oevent)) | c_in(V_X, c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy, V_evs)), tc_Message_Omsg))), file('/export/starexec/sandbox/benchmark/Axioms/SWV006-1.ax','cls_Event_OSays__imp__analz__Spy__dest_0')).
% 11.96/7.93 tff(63,plain,
% 11.96/7.93 (![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))),
% 11.96/7.93 inference(modus_ponens,[status(thm)],[62, 61])).
% 11.96/7.93 tff(64,plain,(
% 11.96/7.93 ![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))),
% 11.96/7.93 inference(skolemize,[status(sab)],[63])).
% 11.96/7.93 tff(65,plain,
% 11.96/7.93 (![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))),
% 11.96/7.93 inference(modus_ponens,[status(thm)],[64, 60])).
% 11.96/7.93 tff(66,plain,
% 11.96/7.93 (((~![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(v_Ba, c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NAa), c_Message_Omsg_OMPair(v_X, c_Message_Omsg_OCrypt(c_Public_OshrK(v_Ba), c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NBa), c_Message_Omsg_OKey(v_Ka))))), v_evs4), v_Ba, c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NAa), c_Message_Omsg_OMPair(v_X, c_Message_Omsg_OCrypt(c_Public_OshrK(v_Ba), c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NBa), c_Message_Omsg_OKey(v_Ka)))))), c_List_Oset(v_evs4, tc_Event_Oevent), tc_Event_Oevent)) | c_in(c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NAa), c_Message_Omsg_OMPair(v_X, c_Message_Omsg_OCrypt(c_Public_OshrK(v_Ba), c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NBa), c_Message_Omsg_OKey(v_Ka))))), c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy, v_evs4)), 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(v_Ba, c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NAa), c_Message_Omsg_OMPair(v_X, c_Message_Omsg_OCrypt(c_Public_OshrK(v_Ba), c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NBa), c_Message_Omsg_OKey(v_Ka))))), v_evs4), v_Ba, c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NAa), c_Message_Omsg_OMPair(v_X, c_Message_Omsg_OCrypt(c_Public_OshrK(v_Ba), c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NBa), c_Message_Omsg_OKey(v_Ka)))))), c_List_Oset(v_evs4, tc_Event_Oevent), tc_Event_Oevent)) | c_in(c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NAa), c_Message_Omsg_OMPair(v_X, c_Message_Omsg_OCrypt(c_Public_OshrK(v_Ba), c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NBa), c_Message_Omsg_OKey(v_Ka))))), c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy, v_evs4)), tc_Message_Omsg))),
% 11.96/7.93 inference(rewrite,[status(thm)],[])).
% 11.96/7.93 tff(67,plain,
% 11.96/7.93 ((~![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(v_Ba, c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NAa), c_Message_Omsg_OMPair(v_X, c_Message_Omsg_OCrypt(c_Public_OshrK(v_Ba), c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NBa), c_Message_Omsg_OKey(v_Ka))))), v_evs4), v_Ba, c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NAa), c_Message_Omsg_OMPair(v_X, c_Message_Omsg_OCrypt(c_Public_OshrK(v_Ba), c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NBa), c_Message_Omsg_OKey(v_Ka)))))), c_List_Oset(v_evs4, tc_Event_Oevent), tc_Event_Oevent)) | c_in(c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NAa), c_Message_Omsg_OMPair(v_X, c_Message_Omsg_OCrypt(c_Public_OshrK(v_Ba), c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NBa), c_Message_Omsg_OKey(v_Ka))))), c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy, v_evs4)), tc_Message_Omsg))),
% 11.96/7.93 inference(quant_inst,[status(thm)],[])).
% 11.96/7.93 tff(68,plain,
% 11.96/7.93 ((~![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(v_Ba, c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NAa), c_Message_Omsg_OMPair(v_X, c_Message_Omsg_OCrypt(c_Public_OshrK(v_Ba), c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NBa), c_Message_Omsg_OKey(v_Ka))))), v_evs4), v_Ba, c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NAa), c_Message_Omsg_OMPair(v_X, c_Message_Omsg_OCrypt(c_Public_OshrK(v_Ba), c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NBa), c_Message_Omsg_OKey(v_Ka)))))), c_List_Oset(v_evs4, tc_Event_Oevent), tc_Event_Oevent)) | c_in(c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NAa), c_Message_Omsg_OMPair(v_X, c_Message_Omsg_OCrypt(c_Public_OshrK(v_Ba), c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NBa), c_Message_Omsg_OKey(v_Ka))))), c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy, v_evs4)), tc_Message_Omsg)),
% 11.96/7.93 inference(modus_ponens,[status(thm)],[67, 66])).
% 11.96/7.93 tff(69,plain,
% 11.96/7.93 (c_in(c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NAa), c_Message_Omsg_OMPair(v_X, c_Message_Omsg_OCrypt(c_Public_OshrK(v_Ba), c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NBa), c_Message_Omsg_OKey(v_Ka))))), c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy, v_evs4)), tc_Message_Omsg)),
% 11.96/7.93 inference(unit_resolution,[status(thm)],[68, 65, 58])).
% 11.96/7.93 tff(70,plain,
% 11.96/7.93 (^[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)))),
% 11.96/7.93 inference(bind,[status(th)],[])).
% 11.96/7.93 tff(71,plain,
% 11.96/7.93 (![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))),
% 11.96/7.93 inference(quant_intro,[status(thm)],[70])).
% 11.96/7.93 tff(72,plain,
% 11.96/7.93 (![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))),
% 11.96/7.93 inference(rewrite,[status(thm)],[])).
% 11.96/7.93 tff(73,axiom,(![V_Y: $i, V_H: $i, V_X: $i] : ((~c_in(c_Message_Omsg_OMPair(V_X, V_Y), c_Message_Oanalz(V_H), tc_Message_Omsg)) | c_in(V_Y, c_Message_Oanalz(V_H), tc_Message_Omsg))), file('/export/starexec/sandbox/benchmark/Axioms/SWV006-0.ax','cls_Message_OMPair__analz_0')).
% 11.96/7.93 tff(74,plain,
% 11.96/7.93 (![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))),
% 11.96/7.93 inference(modus_ponens,[status(thm)],[73, 72])).
% 11.96/7.93 tff(75,plain,(
% 11.96/7.93 ![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))),
% 11.96/7.93 inference(skolemize,[status(sab)],[74])).
% 11.96/7.93 tff(76,plain,
% 11.96/7.93 (![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))),
% 11.96/7.93 inference(modus_ponens,[status(thm)],[75, 71])).
% 11.96/7.93 tff(77,plain,
% 11.96/7.93 (((~![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(v_X, c_Message_Omsg_OCrypt(c_Public_OshrK(v_Ba), c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NBa), c_Message_Omsg_OKey(v_Ka))))), c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy, v_evs4)), tc_Message_Omsg)) | c_in(c_Message_Omsg_OMPair(v_X, c_Message_Omsg_OCrypt(c_Public_OshrK(v_Ba), c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NBa), c_Message_Omsg_OKey(v_Ka)))), c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy, v_evs4)), 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(v_X, c_Message_Omsg_OCrypt(c_Public_OshrK(v_Ba), c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NBa), c_Message_Omsg_OKey(v_Ka))))), c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy, v_evs4)), tc_Message_Omsg)) | c_in(c_Message_Omsg_OMPair(v_X, c_Message_Omsg_OCrypt(c_Public_OshrK(v_Ba), c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NBa), c_Message_Omsg_OKey(v_Ka)))), c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy, v_evs4)), tc_Message_Omsg))),
% 11.96/7.93 inference(rewrite,[status(thm)],[])).
% 11.96/7.93 tff(78,plain,
% 11.96/7.93 ((~![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(v_X, c_Message_Omsg_OCrypt(c_Public_OshrK(v_Ba), c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NBa), c_Message_Omsg_OKey(v_Ka))))), c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy, v_evs4)), tc_Message_Omsg)) | c_in(c_Message_Omsg_OMPair(v_X, c_Message_Omsg_OCrypt(c_Public_OshrK(v_Ba), c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NBa), c_Message_Omsg_OKey(v_Ka)))), c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy, v_evs4)), tc_Message_Omsg))),
% 11.96/7.93 inference(quant_inst,[status(thm)],[])).
% 11.96/7.93 tff(79,plain,
% 11.96/7.93 ((~![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(v_X, c_Message_Omsg_OCrypt(c_Public_OshrK(v_Ba), c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NBa), c_Message_Omsg_OKey(v_Ka))))), c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy, v_evs4)), tc_Message_Omsg)) | c_in(c_Message_Omsg_OMPair(v_X, c_Message_Omsg_OCrypt(c_Public_OshrK(v_Ba), c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NBa), c_Message_Omsg_OKey(v_Ka)))), c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy, v_evs4)), tc_Message_Omsg)),
% 11.96/7.93 inference(modus_ponens,[status(thm)],[78, 77])).
% 11.96/7.93 tff(80,plain,
% 11.96/7.93 (c_in(c_Message_Omsg_OMPair(v_X, c_Message_Omsg_OCrypt(c_Public_OshrK(v_Ba), c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NBa), c_Message_Omsg_OKey(v_Ka)))), c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy, v_evs4)), tc_Message_Omsg)),
% 11.96/7.93 inference(unit_resolution,[status(thm)],[79, 76, 69])).
% 11.96/7.93 tff(81,plain,
% 11.96/7.93 (^[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)))),
% 11.96/7.93 inference(bind,[status(th)],[])).
% 11.96/7.93 tff(82,plain,
% 11.96/7.93 (![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))),
% 11.96/7.93 inference(quant_intro,[status(thm)],[81])).
% 11.96/7.93 tff(83,plain,
% 11.96/7.93 (![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))),
% 11.96/7.93 inference(rewrite,[status(thm)],[])).
% 11.96/7.93 tff(84,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/sandbox/benchmark/Axioms/SWV006-0.ax','cls_Message_OMPair__analz_1')).
% 11.96/7.93 tff(85,plain,
% 11.96/7.93 (![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))),
% 11.96/7.93 inference(modus_ponens,[status(thm)],[84, 83])).
% 11.96/7.93 tff(86,plain,(
% 11.96/7.93 ![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))),
% 11.96/7.93 inference(skolemize,[status(sab)],[85])).
% 11.96/7.93 tff(87,plain,
% 11.96/7.93 (![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))),
% 11.96/7.93 inference(modus_ponens,[status(thm)],[86, 82])).
% 11.96/7.93 tff(88,plain,
% 11.96/7.93 (((~![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(v_X, c_Message_Omsg_OCrypt(c_Public_OshrK(v_Ba), c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NBa), c_Message_Omsg_OKey(v_Ka)))), c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy, v_evs4)), tc_Message_Omsg)) | c_in(v_X, c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy, v_evs4)), 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(v_X, c_Message_Omsg_OCrypt(c_Public_OshrK(v_Ba), c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NBa), c_Message_Omsg_OKey(v_Ka)))), c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy, v_evs4)), tc_Message_Omsg)) | c_in(v_X, c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy, v_evs4)), tc_Message_Omsg))),
% 11.96/7.93 inference(rewrite,[status(thm)],[])).
% 11.96/7.93 tff(89,plain,
% 11.96/7.93 ((~![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(v_X, c_Message_Omsg_OCrypt(c_Public_OshrK(v_Ba), c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NBa), c_Message_Omsg_OKey(v_Ka)))), c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy, v_evs4)), tc_Message_Omsg)) | c_in(v_X, c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy, v_evs4)), tc_Message_Omsg))),
% 11.96/7.93 inference(quant_inst,[status(thm)],[])).
% 11.96/7.93 tff(90,plain,
% 11.96/7.93 ((~![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(v_X, c_Message_Omsg_OCrypt(c_Public_OshrK(v_Ba), c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NBa), c_Message_Omsg_OKey(v_Ka)))), c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy, v_evs4)), tc_Message_Omsg)) | c_in(v_X, c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy, v_evs4)), tc_Message_Omsg)),
% 11.96/7.93 inference(modus_ponens,[status(thm)],[89, 88])).
% 11.96/7.93 tff(91,plain,
% 11.96/7.93 (c_in(v_X, c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy, v_evs4)), tc_Message_Omsg)),
% 11.96/7.93 inference(unit_resolution,[status(thm)],[90, 87, 80])).
% 11.96/7.93 tff(92,assumption,(~c_in(v_X, c_Message_Osynth(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy, v_evs4))), tc_Message_Omsg)), introduced(assumption)).
% 11.96/7.93 tff(93,plain,
% 11.96/7.93 (^[V_H: $i, V_X: $i] : refl(((~c_in(V_X, V_H, tc_Message_Omsg)) | c_in(V_X, c_Message_Osynth(V_H), tc_Message_Omsg)) <=> ((~c_in(V_X, V_H, tc_Message_Omsg)) | c_in(V_X, c_Message_Osynth(V_H), tc_Message_Omsg)))),
% 11.96/7.93 inference(bind,[status(th)],[])).
% 11.96/7.93 tff(94,plain,
% 11.96/7.93 (![V_H: $i, V_X: $i] : ((~c_in(V_X, V_H, tc_Message_Omsg)) | c_in(V_X, c_Message_Osynth(V_H), tc_Message_Omsg)) <=> ![V_H: $i, V_X: $i] : ((~c_in(V_X, V_H, tc_Message_Omsg)) | c_in(V_X, c_Message_Osynth(V_H), tc_Message_Omsg))),
% 11.96/7.93 inference(quant_intro,[status(thm)],[93])).
% 11.96/7.93 tff(95,plain,
% 11.96/7.93 (![V_H: $i, V_X: $i] : ((~c_in(V_X, V_H, tc_Message_Omsg)) | c_in(V_X, c_Message_Osynth(V_H), tc_Message_Omsg)) <=> ![V_H: $i, V_X: $i] : ((~c_in(V_X, V_H, tc_Message_Omsg)) | c_in(V_X, c_Message_Osynth(V_H), tc_Message_Omsg))),
% 11.96/7.93 inference(rewrite,[status(thm)],[])).
% 11.96/7.93 tff(96,axiom,(![V_H: $i, V_X: $i] : ((~c_in(V_X, V_H, tc_Message_Omsg)) | c_in(V_X, c_Message_Osynth(V_H), tc_Message_Omsg))), file('/export/starexec/sandbox/benchmark/Axioms/SWV006-0.ax','cls_Message_Osynth_OInj_0')).
% 11.96/7.93 tff(97,plain,
% 11.96/7.93 (![V_H: $i, V_X: $i] : ((~c_in(V_X, V_H, tc_Message_Omsg)) | c_in(V_X, c_Message_Osynth(V_H), tc_Message_Omsg))),
% 11.96/7.93 inference(modus_ponens,[status(thm)],[96, 95])).
% 11.96/7.93 tff(98,plain,(
% 11.96/7.93 ![V_H: $i, V_X: $i] : ((~c_in(V_X, V_H, tc_Message_Omsg)) | c_in(V_X, c_Message_Osynth(V_H), tc_Message_Omsg))),
% 11.96/7.93 inference(skolemize,[status(sab)],[97])).
% 11.96/7.93 tff(99,plain,
% 11.96/7.93 (![V_H: $i, V_X: $i] : ((~c_in(V_X, V_H, tc_Message_Omsg)) | c_in(V_X, c_Message_Osynth(V_H), tc_Message_Omsg))),
% 11.96/7.93 inference(modus_ponens,[status(thm)],[98, 94])).
% 11.96/7.93 tff(100,plain,
% 11.96/7.93 (((~![V_H: $i, V_X: $i] : ((~c_in(V_X, V_H, tc_Message_Omsg)) | c_in(V_X, c_Message_Osynth(V_H), tc_Message_Omsg))) | ((~c_in(v_X, c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy, v_evs4)), tc_Message_Omsg)) | c_in(v_X, c_Message_Osynth(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy, v_evs4))), tc_Message_Omsg))) <=> ((~![V_H: $i, V_X: $i] : ((~c_in(V_X, V_H, tc_Message_Omsg)) | c_in(V_X, c_Message_Osynth(V_H), tc_Message_Omsg))) | (~c_in(v_X, c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy, v_evs4)), tc_Message_Omsg)) | c_in(v_X, c_Message_Osynth(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy, v_evs4))), tc_Message_Omsg))),
% 11.96/7.93 inference(rewrite,[status(thm)],[])).
% 11.96/7.93 tff(101,plain,
% 11.96/7.93 ((~![V_H: $i, V_X: $i] : ((~c_in(V_X, V_H, tc_Message_Omsg)) | c_in(V_X, c_Message_Osynth(V_H), tc_Message_Omsg))) | ((~c_in(v_X, c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy, v_evs4)), tc_Message_Omsg)) | c_in(v_X, c_Message_Osynth(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy, v_evs4))), tc_Message_Omsg))),
% 11.96/7.93 inference(quant_inst,[status(thm)],[])).
% 11.96/7.93 tff(102,plain,
% 11.96/7.93 ((~![V_H: $i, V_X: $i] : ((~c_in(V_X, V_H, tc_Message_Omsg)) | c_in(V_X, c_Message_Osynth(V_H), tc_Message_Omsg))) | (~c_in(v_X, c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy, v_evs4)), tc_Message_Omsg)) | c_in(v_X, c_Message_Osynth(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy, v_evs4))), tc_Message_Omsg)),
% 11.96/7.93 inference(modus_ponens,[status(thm)],[101, 100])).
% 11.96/7.93 tff(103,plain,
% 11.96/7.93 ($false),
% 11.96/7.93 inference(unit_resolution,[status(thm)],[102, 99, 92, 91])).
% 11.96/7.93 tff(104,plain,(c_in(v_X, c_Message_Osynth(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy, v_evs4))), tc_Message_Omsg)), inference(lemma,lemma(discharge,[]))).
% 11.96/7.93 tff(105,plain,
% 11.96/7.93 (c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_B), c_Message_Omsg_OMPair(v_NB, c_Message_Omsg_OKey(v_K))), c_Message_Oparts(c_insert(v_X, c_Event_Oknows(c_Message_Oagent_OSpy, v_evs4), tc_Message_Omsg)), tc_Message_Omsg) <=> c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_B), c_Message_Omsg_OMPair(v_NB, c_Message_Omsg_OKey(v_K))), c_Message_Oparts(c_insert(v_X, c_Event_Oknows(c_Message_Oagent_OSpy, v_evs4), tc_Message_Omsg)), tc_Message_Omsg)),
% 11.96/7.93 inference(rewrite,[status(thm)],[])).
% 11.96/7.93 tff(106,axiom,(c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_B), c_Message_Omsg_OMPair(v_NB, c_Message_Omsg_OKey(v_K))), c_Message_Oparts(c_insert(v_X, c_Event_Oknows(c_Message_Oagent_OSpy, v_evs4), tc_Message_Omsg)), tc_Message_Omsg)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','cls_conjecture_5')).
% 11.96/7.93 tff(107,plain,
% 11.96/7.93 (c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_B), c_Message_Omsg_OMPair(v_NB, c_Message_Omsg_OKey(v_K))), c_Message_Oparts(c_insert(v_X, c_Event_Oknows(c_Message_Oagent_OSpy, v_evs4), tc_Message_Omsg)), tc_Message_Omsg)),
% 11.96/7.93 inference(modus_ponens,[status(thm)],[106, 105])).
% 11.96/7.93 tff(108,plain,
% 11.96/7.93 (^[V_Z: $i, V_H: $i, V_X: $i] : refl(((~c_in(V_X, c_Message_Osynth(c_Message_Oanalz(V_H)), tc_Message_Omsg)) | c_in(V_Z, c_union(c_Message_Osynth(c_Message_Oanalz(V_H)), c_Message_Oparts(V_H), tc_Message_Omsg), tc_Message_Omsg) | (~c_in(V_Z, c_Message_Oparts(c_insert(V_X, V_H, tc_Message_Omsg)), tc_Message_Omsg))) <=> ((~c_in(V_X, c_Message_Osynth(c_Message_Oanalz(V_H)), tc_Message_Omsg)) | c_in(V_Z, c_union(c_Message_Osynth(c_Message_Oanalz(V_H)), c_Message_Oparts(V_H), tc_Message_Omsg), tc_Message_Omsg) | (~c_in(V_Z, c_Message_Oparts(c_insert(V_X, V_H, tc_Message_Omsg)), tc_Message_Omsg))))),
% 11.96/7.93 inference(bind,[status(th)],[])).
% 11.96/7.93 tff(109,plain,
% 11.96/7.93 (![V_Z: $i, V_H: $i, V_X: $i] : ((~c_in(V_X, c_Message_Osynth(c_Message_Oanalz(V_H)), tc_Message_Omsg)) | c_in(V_Z, c_union(c_Message_Osynth(c_Message_Oanalz(V_H)), c_Message_Oparts(V_H), tc_Message_Omsg), tc_Message_Omsg) | (~c_in(V_Z, c_Message_Oparts(c_insert(V_X, V_H, tc_Message_Omsg)), tc_Message_Omsg))) <=> ![V_Z: $i, V_H: $i, V_X: $i] : ((~c_in(V_X, c_Message_Osynth(c_Message_Oanalz(V_H)), tc_Message_Omsg)) | c_in(V_Z, c_union(c_Message_Osynth(c_Message_Oanalz(V_H)), c_Message_Oparts(V_H), tc_Message_Omsg), tc_Message_Omsg) | (~c_in(V_Z, c_Message_Oparts(c_insert(V_X, V_H, tc_Message_Omsg)), tc_Message_Omsg)))),
% 11.96/7.93 inference(quant_intro,[status(thm)],[108])).
% 11.96/7.93 tff(110,plain,
% 11.96/7.93 (![V_Z: $i, V_H: $i, V_X: $i] : ((~c_in(V_X, c_Message_Osynth(c_Message_Oanalz(V_H)), tc_Message_Omsg)) | c_in(V_Z, c_union(c_Message_Osynth(c_Message_Oanalz(V_H)), c_Message_Oparts(V_H), tc_Message_Omsg), tc_Message_Omsg) | (~c_in(V_Z, c_Message_Oparts(c_insert(V_X, V_H, tc_Message_Omsg)), tc_Message_Omsg))) <=> ![V_Z: $i, V_H: $i, V_X: $i] : ((~c_in(V_X, c_Message_Osynth(c_Message_Oanalz(V_H)), tc_Message_Omsg)) | c_in(V_Z, c_union(c_Message_Osynth(c_Message_Oanalz(V_H)), c_Message_Oparts(V_H), tc_Message_Omsg), tc_Message_Omsg) | (~c_in(V_Z, c_Message_Oparts(c_insert(V_X, V_H, tc_Message_Omsg)), tc_Message_Omsg)))),
% 11.96/7.93 inference(rewrite,[status(thm)],[])).
% 11.96/7.93 tff(111,plain,
% 11.96/7.93 (^[V_Z: $i, V_H: $i, V_X: $i] : trans(monotonicity(rewrite(((~c_in(V_Z, c_Message_Oparts(c_insert(V_X, V_H, tc_Message_Omsg)), tc_Message_Omsg)) | (~c_in(V_X, c_Message_Osynth(c_Message_Oanalz(V_H)), tc_Message_Omsg))) <=> ((~c_in(V_X, c_Message_Osynth(c_Message_Oanalz(V_H)), tc_Message_Omsg)) | (~c_in(V_Z, c_Message_Oparts(c_insert(V_X, V_H, tc_Message_Omsg)), tc_Message_Omsg)))), ((((~c_in(V_Z, c_Message_Oparts(c_insert(V_X, V_H, tc_Message_Omsg)), tc_Message_Omsg)) | (~c_in(V_X, c_Message_Osynth(c_Message_Oanalz(V_H)), tc_Message_Omsg))) | c_in(V_Z, c_union(c_Message_Osynth(c_Message_Oanalz(V_H)), c_Message_Oparts(V_H), tc_Message_Omsg), tc_Message_Omsg)) <=> (((~c_in(V_X, c_Message_Osynth(c_Message_Oanalz(V_H)), tc_Message_Omsg)) | (~c_in(V_Z, c_Message_Oparts(c_insert(V_X, V_H, tc_Message_Omsg)), tc_Message_Omsg))) | c_in(V_Z, c_union(c_Message_Osynth(c_Message_Oanalz(V_H)), c_Message_Oparts(V_H), tc_Message_Omsg), tc_Message_Omsg)))), rewrite((((~c_in(V_X, c_Message_Osynth(c_Message_Oanalz(V_H)), tc_Message_Omsg)) | (~c_in(V_Z, c_Message_Oparts(c_insert(V_X, V_H, tc_Message_Omsg)), tc_Message_Omsg))) | c_in(V_Z, c_union(c_Message_Osynth(c_Message_Oanalz(V_H)), c_Message_Oparts(V_H), tc_Message_Omsg), tc_Message_Omsg)) <=> ((~c_in(V_X, c_Message_Osynth(c_Message_Oanalz(V_H)), tc_Message_Omsg)) | c_in(V_Z, c_union(c_Message_Osynth(c_Message_Oanalz(V_H)), c_Message_Oparts(V_H), tc_Message_Omsg), tc_Message_Omsg) | (~c_in(V_Z, c_Message_Oparts(c_insert(V_X, V_H, tc_Message_Omsg)), tc_Message_Omsg)))), ((((~c_in(V_Z, c_Message_Oparts(c_insert(V_X, V_H, tc_Message_Omsg)), tc_Message_Omsg)) | (~c_in(V_X, c_Message_Osynth(c_Message_Oanalz(V_H)), tc_Message_Omsg))) | c_in(V_Z, c_union(c_Message_Osynth(c_Message_Oanalz(V_H)), c_Message_Oparts(V_H), tc_Message_Omsg), tc_Message_Omsg)) <=> ((~c_in(V_X, c_Message_Osynth(c_Message_Oanalz(V_H)), tc_Message_Omsg)) | c_in(V_Z, c_union(c_Message_Osynth(c_Message_Oanalz(V_H)), c_Message_Oparts(V_H), tc_Message_Omsg), tc_Message_Omsg) | (~c_in(V_Z, c_Message_Oparts(c_insert(V_X, V_H, tc_Message_Omsg)), tc_Message_Omsg)))))),
% 11.96/7.93 inference(bind,[status(th)],[])).
% 11.96/7.93 tff(112,plain,
% 11.96/7.93 (![V_Z: $i, V_H: $i, V_X: $i] : (((~c_in(V_Z, c_Message_Oparts(c_insert(V_X, V_H, tc_Message_Omsg)), tc_Message_Omsg)) | (~c_in(V_X, c_Message_Osynth(c_Message_Oanalz(V_H)), tc_Message_Omsg))) | c_in(V_Z, c_union(c_Message_Osynth(c_Message_Oanalz(V_H)), c_Message_Oparts(V_H), tc_Message_Omsg), tc_Message_Omsg)) <=> ![V_Z: $i, V_H: $i, V_X: $i] : ((~c_in(V_X, c_Message_Osynth(c_Message_Oanalz(V_H)), tc_Message_Omsg)) | c_in(V_Z, c_union(c_Message_Osynth(c_Message_Oanalz(V_H)), c_Message_Oparts(V_H), tc_Message_Omsg), tc_Message_Omsg) | (~c_in(V_Z, c_Message_Oparts(c_insert(V_X, V_H, tc_Message_Omsg)), tc_Message_Omsg)))),
% 11.96/7.93 inference(quant_intro,[status(thm)],[111])).
% 11.96/7.93 tff(113,axiom,(![V_Z: $i, V_H: $i, V_X: $i] : (((~c_in(V_Z, c_Message_Oparts(c_insert(V_X, V_H, tc_Message_Omsg)), tc_Message_Omsg)) | (~c_in(V_X, c_Message_Osynth(c_Message_Oanalz(V_H)), tc_Message_Omsg))) | c_in(V_Z, c_union(c_Message_Osynth(c_Message_Oanalz(V_H)), c_Message_Oparts(V_H), tc_Message_Omsg), tc_Message_Omsg))), file('/export/starexec/sandbox/benchmark/Axioms/SWV006-1.ax','cls_Message_OFake__parts__insert__in__Un__dest_0')).
% 11.96/7.93 tff(114,plain,
% 11.96/7.93 (![V_Z: $i, V_H: $i, V_X: $i] : ((~c_in(V_X, c_Message_Osynth(c_Message_Oanalz(V_H)), tc_Message_Omsg)) | c_in(V_Z, c_union(c_Message_Osynth(c_Message_Oanalz(V_H)), c_Message_Oparts(V_H), tc_Message_Omsg), tc_Message_Omsg) | (~c_in(V_Z, c_Message_Oparts(c_insert(V_X, V_H, tc_Message_Omsg)), tc_Message_Omsg)))),
% 11.96/7.93 inference(modus_ponens,[status(thm)],[113, 112])).
% 11.96/7.93 tff(115,plain,
% 11.96/7.93 (![V_Z: $i, V_H: $i, V_X: $i] : ((~c_in(V_X, c_Message_Osynth(c_Message_Oanalz(V_H)), tc_Message_Omsg)) | c_in(V_Z, c_union(c_Message_Osynth(c_Message_Oanalz(V_H)), c_Message_Oparts(V_H), tc_Message_Omsg), tc_Message_Omsg) | (~c_in(V_Z, c_Message_Oparts(c_insert(V_X, V_H, tc_Message_Omsg)), tc_Message_Omsg)))),
% 11.96/7.93 inference(modus_ponens,[status(thm)],[114, 110])).
% 11.96/7.93 tff(116,plain,(
% 11.96/7.93 ![V_Z: $i, V_H: $i, V_X: $i] : ((~c_in(V_X, c_Message_Osynth(c_Message_Oanalz(V_H)), tc_Message_Omsg)) | c_in(V_Z, c_union(c_Message_Osynth(c_Message_Oanalz(V_H)), c_Message_Oparts(V_H), tc_Message_Omsg), tc_Message_Omsg) | (~c_in(V_Z, c_Message_Oparts(c_insert(V_X, V_H, tc_Message_Omsg)), tc_Message_Omsg)))),
% 11.96/7.93 inference(skolemize,[status(sab)],[115])).
% 11.96/7.93 tff(117,plain,
% 11.96/7.93 (![V_Z: $i, V_H: $i, V_X: $i] : ((~c_in(V_X, c_Message_Osynth(c_Message_Oanalz(V_H)), tc_Message_Omsg)) | c_in(V_Z, c_union(c_Message_Osynth(c_Message_Oanalz(V_H)), c_Message_Oparts(V_H), tc_Message_Omsg), tc_Message_Omsg) | (~c_in(V_Z, c_Message_Oparts(c_insert(V_X, V_H, tc_Message_Omsg)), tc_Message_Omsg)))),
% 11.96/7.93 inference(modus_ponens,[status(thm)],[116, 109])).
% 11.96/7.93 tff(118,plain,
% 11.96/7.93 (((~![V_Z: $i, V_H: $i, V_X: $i] : ((~c_in(V_X, c_Message_Osynth(c_Message_Oanalz(V_H)), tc_Message_Omsg)) | c_in(V_Z, c_union(c_Message_Osynth(c_Message_Oanalz(V_H)), c_Message_Oparts(V_H), tc_Message_Omsg), tc_Message_Omsg) | (~c_in(V_Z, c_Message_Oparts(c_insert(V_X, V_H, tc_Message_Omsg)), tc_Message_Omsg)))) | ((~c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_B), c_Message_Omsg_OMPair(v_NB, c_Message_Omsg_OKey(v_K))), c_Message_Oparts(c_insert(v_X, c_Event_Oknows(c_Message_Oagent_OSpy, v_evs4), tc_Message_Omsg)), tc_Message_Omsg)) | (~c_in(v_X, c_Message_Osynth(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy, v_evs4))), tc_Message_Omsg)) | c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_B), c_Message_Omsg_OMPair(v_NB, c_Message_Omsg_OKey(v_K))), c_union(c_Message_Osynth(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy, v_evs4))), c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy, v_evs4)), tc_Message_Omsg), tc_Message_Omsg))) <=> ((~![V_Z: $i, V_H: $i, V_X: $i] : ((~c_in(V_X, c_Message_Osynth(c_Message_Oanalz(V_H)), tc_Message_Omsg)) | c_in(V_Z, c_union(c_Message_Osynth(c_Message_Oanalz(V_H)), c_Message_Oparts(V_H), tc_Message_Omsg), tc_Message_Omsg) | (~c_in(V_Z, c_Message_Oparts(c_insert(V_X, V_H, tc_Message_Omsg)), tc_Message_Omsg)))) | (~c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_B), c_Message_Omsg_OMPair(v_NB, c_Message_Omsg_OKey(v_K))), c_Message_Oparts(c_insert(v_X, c_Event_Oknows(c_Message_Oagent_OSpy, v_evs4), tc_Message_Omsg)), tc_Message_Omsg)) | (~c_in(v_X, c_Message_Osynth(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy, v_evs4))), tc_Message_Omsg)) | c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_B), c_Message_Omsg_OMPair(v_NB, c_Message_Omsg_OKey(v_K))), c_union(c_Message_Osynth(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy, v_evs4))), c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy, v_evs4)), tc_Message_Omsg), tc_Message_Omsg))),
% 11.96/7.93 inference(rewrite,[status(thm)],[])).
% 11.96/7.93 tff(119,plain,
% 11.96/7.93 (((~c_in(v_X, c_Message_Osynth(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy, v_evs4))), tc_Message_Omsg)) | c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_B), c_Message_Omsg_OMPair(v_NB, c_Message_Omsg_OKey(v_K))), c_union(c_Message_Osynth(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy, v_evs4))), c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy, v_evs4)), tc_Message_Omsg), tc_Message_Omsg) | (~c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_B), c_Message_Omsg_OMPair(v_NB, c_Message_Omsg_OKey(v_K))), c_Message_Oparts(c_insert(v_X, c_Event_Oknows(c_Message_Oagent_OSpy, v_evs4), tc_Message_Omsg)), tc_Message_Omsg))) <=> ((~c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_B), c_Message_Omsg_OMPair(v_NB, c_Message_Omsg_OKey(v_K))), c_Message_Oparts(c_insert(v_X, c_Event_Oknows(c_Message_Oagent_OSpy, v_evs4), tc_Message_Omsg)), tc_Message_Omsg)) | (~c_in(v_X, c_Message_Osynth(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy, v_evs4))), tc_Message_Omsg)) | c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_B), c_Message_Omsg_OMPair(v_NB, c_Message_Omsg_OKey(v_K))), c_union(c_Message_Osynth(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy, v_evs4))), c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy, v_evs4)), tc_Message_Omsg), tc_Message_Omsg))),
% 11.96/7.93 inference(rewrite,[status(thm)],[])).
% 11.96/7.93 tff(120,plain,
% 11.96/7.93 (((~![V_Z: $i, V_H: $i, V_X: $i] : ((~c_in(V_X, c_Message_Osynth(c_Message_Oanalz(V_H)), tc_Message_Omsg)) | c_in(V_Z, c_union(c_Message_Osynth(c_Message_Oanalz(V_H)), c_Message_Oparts(V_H), tc_Message_Omsg), tc_Message_Omsg) | (~c_in(V_Z, c_Message_Oparts(c_insert(V_X, V_H, tc_Message_Omsg)), tc_Message_Omsg)))) | ((~c_in(v_X, c_Message_Osynth(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy, v_evs4))), tc_Message_Omsg)) | c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_B), c_Message_Omsg_OMPair(v_NB, c_Message_Omsg_OKey(v_K))), c_union(c_Message_Osynth(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy, v_evs4))), c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy, v_evs4)), tc_Message_Omsg), tc_Message_Omsg) | (~c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_B), c_Message_Omsg_OMPair(v_NB, c_Message_Omsg_OKey(v_K))), c_Message_Oparts(c_insert(v_X, c_Event_Oknows(c_Message_Oagent_OSpy, v_evs4), tc_Message_Omsg)), tc_Message_Omsg)))) <=> ((~![V_Z: $i, V_H: $i, V_X: $i] : ((~c_in(V_X, c_Message_Osynth(c_Message_Oanalz(V_H)), tc_Message_Omsg)) | c_in(V_Z, c_union(c_Message_Osynth(c_Message_Oanalz(V_H)), c_Message_Oparts(V_H), tc_Message_Omsg), tc_Message_Omsg) | (~c_in(V_Z, c_Message_Oparts(c_insert(V_X, V_H, tc_Message_Omsg)), tc_Message_Omsg)))) | ((~c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_B), c_Message_Omsg_OMPair(v_NB, c_Message_Omsg_OKey(v_K))), c_Message_Oparts(c_insert(v_X, c_Event_Oknows(c_Message_Oagent_OSpy, v_evs4), tc_Message_Omsg)), tc_Message_Omsg)) | (~c_in(v_X, c_Message_Osynth(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy, v_evs4))), tc_Message_Omsg)) | c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_B), c_Message_Omsg_OMPair(v_NB, c_Message_Omsg_OKey(v_K))), c_union(c_Message_Osynth(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy, v_evs4))), c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy, v_evs4)), tc_Message_Omsg), tc_Message_Omsg)))),
% 11.96/7.93 inference(monotonicity,[status(thm)],[119])).
% 11.96/7.93 tff(121,plain,
% 11.96/7.93 (((~![V_Z: $i, V_H: $i, V_X: $i] : ((~c_in(V_X, c_Message_Osynth(c_Message_Oanalz(V_H)), tc_Message_Omsg)) | c_in(V_Z, c_union(c_Message_Osynth(c_Message_Oanalz(V_H)), c_Message_Oparts(V_H), tc_Message_Omsg), tc_Message_Omsg) | (~c_in(V_Z, c_Message_Oparts(c_insert(V_X, V_H, tc_Message_Omsg)), tc_Message_Omsg)))) | ((~c_in(v_X, c_Message_Osynth(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy, v_evs4))), tc_Message_Omsg)) | c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_B), c_Message_Omsg_OMPair(v_NB, c_Message_Omsg_OKey(v_K))), c_union(c_Message_Osynth(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy, v_evs4))), c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy, v_evs4)), tc_Message_Omsg), tc_Message_Omsg) | (~c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_B), c_Message_Omsg_OMPair(v_NB, c_Message_Omsg_OKey(v_K))), c_Message_Oparts(c_insert(v_X, c_Event_Oknows(c_Message_Oagent_OSpy, v_evs4), tc_Message_Omsg)), tc_Message_Omsg)))) <=> ((~![V_Z: $i, V_H: $i, V_X: $i] : ((~c_in(V_X, c_Message_Osynth(c_Message_Oanalz(V_H)), tc_Message_Omsg)) | c_in(V_Z, c_union(c_Message_Osynth(c_Message_Oanalz(V_H)), c_Message_Oparts(V_H), tc_Message_Omsg), tc_Message_Omsg) | (~c_in(V_Z, c_Message_Oparts(c_insert(V_X, V_H, tc_Message_Omsg)), tc_Message_Omsg)))) | (~c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_B), c_Message_Omsg_OMPair(v_NB, c_Message_Omsg_OKey(v_K))), c_Message_Oparts(c_insert(v_X, c_Event_Oknows(c_Message_Oagent_OSpy, v_evs4), tc_Message_Omsg)), tc_Message_Omsg)) | (~c_in(v_X, c_Message_Osynth(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy, v_evs4))), tc_Message_Omsg)) | c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_B), c_Message_Omsg_OMPair(v_NB, c_Message_Omsg_OKey(v_K))), c_union(c_Message_Osynth(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy, v_evs4))), c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy, v_evs4)), tc_Message_Omsg), tc_Message_Omsg))),
% 11.96/7.94 inference(transitivity,[status(thm)],[120, 118])).
% 11.96/7.94 tff(122,plain,
% 11.96/7.94 ((~![V_Z: $i, V_H: $i, V_X: $i] : ((~c_in(V_X, c_Message_Osynth(c_Message_Oanalz(V_H)), tc_Message_Omsg)) | c_in(V_Z, c_union(c_Message_Osynth(c_Message_Oanalz(V_H)), c_Message_Oparts(V_H), tc_Message_Omsg), tc_Message_Omsg) | (~c_in(V_Z, c_Message_Oparts(c_insert(V_X, V_H, tc_Message_Omsg)), tc_Message_Omsg)))) | ((~c_in(v_X, c_Message_Osynth(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy, v_evs4))), tc_Message_Omsg)) | c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_B), c_Message_Omsg_OMPair(v_NB, c_Message_Omsg_OKey(v_K))), c_union(c_Message_Osynth(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy, v_evs4))), c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy, v_evs4)), tc_Message_Omsg), tc_Message_Omsg) | (~c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_B), c_Message_Omsg_OMPair(v_NB, c_Message_Omsg_OKey(v_K))), c_Message_Oparts(c_insert(v_X, c_Event_Oknows(c_Message_Oagent_OSpy, v_evs4), tc_Message_Omsg)), tc_Message_Omsg)))),
% 11.96/7.94 inference(quant_inst,[status(thm)],[])).
% 11.96/7.94 tff(123,plain,
% 11.96/7.94 ((~![V_Z: $i, V_H: $i, V_X: $i] : ((~c_in(V_X, c_Message_Osynth(c_Message_Oanalz(V_H)), tc_Message_Omsg)) | c_in(V_Z, c_union(c_Message_Osynth(c_Message_Oanalz(V_H)), c_Message_Oparts(V_H), tc_Message_Omsg), tc_Message_Omsg) | (~c_in(V_Z, c_Message_Oparts(c_insert(V_X, V_H, tc_Message_Omsg)), tc_Message_Omsg)))) | (~c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_B), c_Message_Omsg_OMPair(v_NB, c_Message_Omsg_OKey(v_K))), c_Message_Oparts(c_insert(v_X, c_Event_Oknows(c_Message_Oagent_OSpy, v_evs4), tc_Message_Omsg)), tc_Message_Omsg)) | (~c_in(v_X, c_Message_Osynth(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy, v_evs4))), tc_Message_Omsg)) | c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_B), c_Message_Omsg_OMPair(v_NB, c_Message_Omsg_OKey(v_K))), c_union(c_Message_Osynth(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy, v_evs4))), c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy, v_evs4)), tc_Message_Omsg), tc_Message_Omsg)),
% 11.96/7.94 inference(modus_ponens,[status(thm)],[122, 121])).
% 11.96/7.94 tff(124,plain,
% 11.96/7.94 ((~c_in(v_X, c_Message_Osynth(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy, v_evs4))), tc_Message_Omsg)) | c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_B), c_Message_Omsg_OMPair(v_NB, c_Message_Omsg_OKey(v_K))), c_union(c_Message_Osynth(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy, v_evs4))), c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy, v_evs4)), tc_Message_Omsg), tc_Message_Omsg)),
% 11.96/7.94 inference(unit_resolution,[status(thm)],[123, 117, 107])).
% 11.96/7.94 tff(125,plain,
% 11.96/7.94 (c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_B), c_Message_Omsg_OMPair(v_NB, c_Message_Omsg_OKey(v_K))), c_union(c_Message_Osynth(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy, v_evs4))), c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy, v_evs4)), tc_Message_Omsg), tc_Message_Omsg)),
% 11.96/7.94 inference(unit_resolution,[status(thm)],[124, 104])).
% 11.96/7.94 tff(126,plain,
% 11.96/7.94 (^[V_c: $i, T_a: $i, V_B: $i, V_A: $i] : refl((c_in(V_c, V_B, T_a) | c_in(V_c, V_A, T_a) | (~c_in(V_c, c_union(V_A, V_B, T_a), T_a))) <=> (c_in(V_c, V_B, T_a) | c_in(V_c, V_A, T_a) | (~c_in(V_c, c_union(V_A, V_B, T_a), T_a))))),
% 11.96/7.94 inference(bind,[status(th)],[])).
% 11.96/7.94 tff(127,plain,
% 11.96/7.94 (![V_c: $i, T_a: $i, V_B: $i, V_A: $i] : (c_in(V_c, V_B, T_a) | c_in(V_c, V_A, T_a) | (~c_in(V_c, c_union(V_A, V_B, T_a), T_a))) <=> ![V_c: $i, T_a: $i, V_B: $i, V_A: $i] : (c_in(V_c, V_B, T_a) | c_in(V_c, V_A, T_a) | (~c_in(V_c, c_union(V_A, V_B, T_a), T_a)))),
% 11.96/7.94 inference(quant_intro,[status(thm)],[126])).
% 11.96/7.94 tff(128,plain,
% 11.96/7.94 (![V_c: $i, T_a: $i, V_B: $i, V_A: $i] : (c_in(V_c, V_B, T_a) | c_in(V_c, V_A, T_a) | (~c_in(V_c, c_union(V_A, V_B, T_a), T_a))) <=> ![V_c: $i, T_a: $i, V_B: $i, V_A: $i] : (c_in(V_c, V_B, T_a) | c_in(V_c, V_A, T_a) | (~c_in(V_c, c_union(V_A, V_B, T_a), T_a)))),
% 11.96/7.94 inference(rewrite,[status(thm)],[])).
% 11.96/7.94 tff(129,plain,
% 11.96/7.94 (^[V_c: $i, T_a: $i, V_B: $i, V_A: $i] : rewrite((((~c_in(V_c, c_union(V_A, V_B, T_a), T_a)) | c_in(V_c, V_B, T_a)) | c_in(V_c, V_A, T_a)) <=> (c_in(V_c, V_B, T_a) | c_in(V_c, V_A, T_a) | (~c_in(V_c, c_union(V_A, V_B, T_a), T_a))))),
% 11.96/7.94 inference(bind,[status(th)],[])).
% 11.96/7.94 tff(130,plain,
% 11.96/7.94 (![V_c: $i, T_a: $i, V_B: $i, V_A: $i] : (((~c_in(V_c, c_union(V_A, V_B, T_a), T_a)) | c_in(V_c, V_B, T_a)) | c_in(V_c, V_A, T_a)) <=> ![V_c: $i, T_a: $i, V_B: $i, V_A: $i] : (c_in(V_c, V_B, T_a) | c_in(V_c, V_A, T_a) | (~c_in(V_c, c_union(V_A, V_B, T_a), T_a)))),
% 11.96/7.94 inference(quant_intro,[status(thm)],[129])).
% 11.96/7.94 tff(131,axiom,(![V_c: $i, T_a: $i, V_B: $i, V_A: $i] : (((~c_in(V_c, c_union(V_A, V_B, T_a), T_a)) | c_in(V_c, V_B, T_a)) | c_in(V_c, V_A, T_a))), file('/export/starexec/sandbox/benchmark/Axioms/MSC001-2.ax','cls_Set_OUnE_0')).
% 11.96/7.94 tff(132,plain,
% 11.96/7.94 (![V_c: $i, T_a: $i, V_B: $i, V_A: $i] : (c_in(V_c, V_B, T_a) | c_in(V_c, V_A, T_a) | (~c_in(V_c, c_union(V_A, V_B, T_a), T_a)))),
% 11.96/7.94 inference(modus_ponens,[status(thm)],[131, 130])).
% 11.96/7.94 tff(133,plain,
% 11.96/7.94 (![V_c: $i, T_a: $i, V_B: $i, V_A: $i] : (c_in(V_c, V_B, T_a) | c_in(V_c, V_A, T_a) | (~c_in(V_c, c_union(V_A, V_B, T_a), T_a)))),
% 11.96/7.94 inference(modus_ponens,[status(thm)],[132, 128])).
% 11.96/7.94 tff(134,plain,(
% 11.96/7.94 ![V_c: $i, T_a: $i, V_B: $i, V_A: $i] : (c_in(V_c, V_B, T_a) | c_in(V_c, V_A, T_a) | (~c_in(V_c, c_union(V_A, V_B, T_a), T_a)))),
% 11.96/7.94 inference(skolemize,[status(sab)],[133])).
% 11.96/7.94 tff(135,plain,
% 11.96/7.94 (![V_c: $i, T_a: $i, V_B: $i, V_A: $i] : (c_in(V_c, V_B, T_a) | c_in(V_c, V_A, T_a) | (~c_in(V_c, c_union(V_A, V_B, T_a), T_a)))),
% 11.96/7.94 inference(modus_ponens,[status(thm)],[134, 127])).
% 11.96/7.94 tff(136,plain,
% 11.96/7.94 (((~![V_c: $i, T_a: $i, V_B: $i, V_A: $i] : (c_in(V_c, V_B, T_a) | c_in(V_c, V_A, T_a) | (~c_in(V_c, c_union(V_A, V_B, T_a), T_a)))) | (c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_B), c_Message_Omsg_OMPair(v_NB, c_Message_Omsg_OKey(v_K))), c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy, v_evs4)), tc_Message_Omsg) | c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_B), c_Message_Omsg_OMPair(v_NB, c_Message_Omsg_OKey(v_K))), c_Message_Osynth(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy, v_evs4))), tc_Message_Omsg) | (~c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_B), c_Message_Omsg_OMPair(v_NB, c_Message_Omsg_OKey(v_K))), c_union(c_Message_Osynth(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy, v_evs4))), c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy, v_evs4)), tc_Message_Omsg), tc_Message_Omsg)))) <=> ((~![V_c: $i, T_a: $i, V_B: $i, V_A: $i] : (c_in(V_c, V_B, T_a) | c_in(V_c, V_A, T_a) | (~c_in(V_c, c_union(V_A, V_B, T_a), T_a)))) | c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_B), c_Message_Omsg_OMPair(v_NB, c_Message_Omsg_OKey(v_K))), c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy, v_evs4)), tc_Message_Omsg) | c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_B), c_Message_Omsg_OMPair(v_NB, c_Message_Omsg_OKey(v_K))), c_Message_Osynth(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy, v_evs4))), tc_Message_Omsg) | (~c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_B), c_Message_Omsg_OMPair(v_NB, c_Message_Omsg_OKey(v_K))), c_union(c_Message_Osynth(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy, v_evs4))), c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy, v_evs4)), tc_Message_Omsg), tc_Message_Omsg)))),
% 11.96/7.94 inference(rewrite,[status(thm)],[])).
% 11.96/7.94 tff(137,plain,
% 11.96/7.94 ((~![V_c: $i, T_a: $i, V_B: $i, V_A: $i] : (c_in(V_c, V_B, T_a) | c_in(V_c, V_A, T_a) | (~c_in(V_c, c_union(V_A, V_B, T_a), T_a)))) | (c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_B), c_Message_Omsg_OMPair(v_NB, c_Message_Omsg_OKey(v_K))), c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy, v_evs4)), tc_Message_Omsg) | c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_B), c_Message_Omsg_OMPair(v_NB, c_Message_Omsg_OKey(v_K))), c_Message_Osynth(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy, v_evs4))), tc_Message_Omsg) | (~c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_B), c_Message_Omsg_OMPair(v_NB, c_Message_Omsg_OKey(v_K))), c_union(c_Message_Osynth(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy, v_evs4))), c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy, v_evs4)), tc_Message_Omsg), tc_Message_Omsg)))),
% 11.96/7.94 inference(quant_inst,[status(thm)],[])).
% 11.96/7.94 tff(138,plain,
% 11.96/7.94 ((~![V_c: $i, T_a: $i, V_B: $i, V_A: $i] : (c_in(V_c, V_B, T_a) | c_in(V_c, V_A, T_a) | (~c_in(V_c, c_union(V_A, V_B, T_a), T_a)))) | c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_B), c_Message_Omsg_OMPair(v_NB, c_Message_Omsg_OKey(v_K))), c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy, v_evs4)), tc_Message_Omsg) | c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_B), c_Message_Omsg_OMPair(v_NB, c_Message_Omsg_OKey(v_K))), c_Message_Osynth(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy, v_evs4))), tc_Message_Omsg) | (~c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_B), c_Message_Omsg_OMPair(v_NB, c_Message_Omsg_OKey(v_K))), c_union(c_Message_Osynth(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy, v_evs4))), c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy, v_evs4)), tc_Message_Omsg), tc_Message_Omsg))),
% 11.96/7.94 inference(modus_ponens,[status(thm)],[137, 136])).
% 11.96/7.94 tff(139,plain,
% 11.96/7.94 (c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_B), c_Message_Omsg_OMPair(v_NB, c_Message_Omsg_OKey(v_K))), c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy, v_evs4)), tc_Message_Omsg) | c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_B), c_Message_Omsg_OMPair(v_NB, c_Message_Omsg_OKey(v_K))), c_Message_Osynth(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy, v_evs4))), tc_Message_Omsg)),
% 11.96/7.94 inference(unit_resolution,[status(thm)],[138, 135, 125])).
% 11.96/7.94 tff(140,plain,
% 11.96/7.94 (c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_B), c_Message_Omsg_OMPair(v_NB, c_Message_Omsg_OKey(v_K))), c_Message_Osynth(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy, v_evs4))), tc_Message_Omsg)),
% 11.96/7.94 inference(unit_resolution,[status(thm)],[139, 1])).
% 11.96/7.94 tff(141,plain,
% 11.96/7.94 (^[V_H: $i, V_X: $i, V_K: $i] : refl((c_in(c_Message_Omsg_OKey(V_K), V_H, tc_Message_Omsg) | c_in(c_Message_Omsg_OCrypt(V_K, V_X), V_H, tc_Message_Omsg) | (~c_in(c_Message_Omsg_OCrypt(V_K, V_X), c_Message_Osynth(V_H), tc_Message_Omsg))) <=> (c_in(c_Message_Omsg_OKey(V_K), V_H, tc_Message_Omsg) | c_in(c_Message_Omsg_OCrypt(V_K, V_X), V_H, tc_Message_Omsg) | (~c_in(c_Message_Omsg_OCrypt(V_K, V_X), c_Message_Osynth(V_H), tc_Message_Omsg))))),
% 11.96/7.94 inference(bind,[status(th)],[])).
% 11.96/7.94 tff(142,plain,
% 11.96/7.94 (![V_H: $i, V_X: $i, V_K: $i] : (c_in(c_Message_Omsg_OKey(V_K), V_H, tc_Message_Omsg) | c_in(c_Message_Omsg_OCrypt(V_K, V_X), V_H, tc_Message_Omsg) | (~c_in(c_Message_Omsg_OCrypt(V_K, V_X), c_Message_Osynth(V_H), tc_Message_Omsg))) <=> ![V_H: $i, V_X: $i, V_K: $i] : (c_in(c_Message_Omsg_OKey(V_K), V_H, tc_Message_Omsg) | c_in(c_Message_Omsg_OCrypt(V_K, V_X), V_H, tc_Message_Omsg) | (~c_in(c_Message_Omsg_OCrypt(V_K, V_X), c_Message_Osynth(V_H), tc_Message_Omsg)))),
% 11.96/7.94 inference(quant_intro,[status(thm)],[141])).
% 11.96/7.94 tff(143,plain,
% 11.96/7.94 (![V_H: $i, V_X: $i, V_K: $i] : (c_in(c_Message_Omsg_OKey(V_K), V_H, tc_Message_Omsg) | c_in(c_Message_Omsg_OCrypt(V_K, V_X), V_H, tc_Message_Omsg) | (~c_in(c_Message_Omsg_OCrypt(V_K, V_X), c_Message_Osynth(V_H), tc_Message_Omsg))) <=> ![V_H: $i, V_X: $i, V_K: $i] : (c_in(c_Message_Omsg_OKey(V_K), V_H, tc_Message_Omsg) | c_in(c_Message_Omsg_OCrypt(V_K, V_X), V_H, tc_Message_Omsg) | (~c_in(c_Message_Omsg_OCrypt(V_K, V_X), c_Message_Osynth(V_H), tc_Message_Omsg)))),
% 11.96/7.94 inference(rewrite,[status(thm)],[])).
% 11.96/7.94 tff(144,plain,
% 11.96/7.94 (^[V_H: $i, V_X: $i, V_K: $i] : rewrite((((~c_in(c_Message_Omsg_OCrypt(V_K, V_X), c_Message_Osynth(V_H), tc_Message_Omsg)) | c_in(c_Message_Omsg_OCrypt(V_K, V_X), V_H, tc_Message_Omsg)) | c_in(c_Message_Omsg_OKey(V_K), V_H, tc_Message_Omsg)) <=> (c_in(c_Message_Omsg_OKey(V_K), V_H, tc_Message_Omsg) | c_in(c_Message_Omsg_OCrypt(V_K, V_X), V_H, tc_Message_Omsg) | (~c_in(c_Message_Omsg_OCrypt(V_K, V_X), c_Message_Osynth(V_H), tc_Message_Omsg))))),
% 11.96/7.94 inference(bind,[status(th)],[])).
% 11.96/7.94 tff(145,plain,
% 11.96/7.94 (![V_H: $i, V_X: $i, V_K: $i] : (((~c_in(c_Message_Omsg_OCrypt(V_K, V_X), c_Message_Osynth(V_H), tc_Message_Omsg)) | c_in(c_Message_Omsg_OCrypt(V_K, V_X), V_H, tc_Message_Omsg)) | c_in(c_Message_Omsg_OKey(V_K), V_H, tc_Message_Omsg)) <=> ![V_H: $i, V_X: $i, V_K: $i] : (c_in(c_Message_Omsg_OKey(V_K), V_H, tc_Message_Omsg) | c_in(c_Message_Omsg_OCrypt(V_K, V_X), V_H, tc_Message_Omsg) | (~c_in(c_Message_Omsg_OCrypt(V_K, V_X), c_Message_Osynth(V_H), tc_Message_Omsg)))),
% 11.96/7.94 inference(quant_intro,[status(thm)],[144])).
% 11.96/7.94 tff(146,axiom,(![V_H: $i, V_X: $i, V_K: $i] : (((~c_in(c_Message_Omsg_OCrypt(V_K, V_X), c_Message_Osynth(V_H), tc_Message_Omsg)) | c_in(c_Message_Omsg_OCrypt(V_K, V_X), V_H, tc_Message_Omsg)) | c_in(c_Message_Omsg_OKey(V_K), V_H, tc_Message_Omsg))), file('/export/starexec/sandbox/benchmark/Axioms/SWV006-0.ax','cls_Message_OCrypt__synth_0')).
% 11.96/7.94 tff(147,plain,
% 11.96/7.94 (![V_H: $i, V_X: $i, V_K: $i] : (c_in(c_Message_Omsg_OKey(V_K), V_H, tc_Message_Omsg) | c_in(c_Message_Omsg_OCrypt(V_K, V_X), V_H, tc_Message_Omsg) | (~c_in(c_Message_Omsg_OCrypt(V_K, V_X), c_Message_Osynth(V_H), tc_Message_Omsg)))),
% 11.96/7.94 inference(modus_ponens,[status(thm)],[146, 145])).
% 11.96/7.94 tff(148,plain,
% 11.96/7.94 (![V_H: $i, V_X: $i, V_K: $i] : (c_in(c_Message_Omsg_OKey(V_K), V_H, tc_Message_Omsg) | c_in(c_Message_Omsg_OCrypt(V_K, V_X), V_H, tc_Message_Omsg) | (~c_in(c_Message_Omsg_OCrypt(V_K, V_X), c_Message_Osynth(V_H), tc_Message_Omsg)))),
% 11.96/7.94 inference(modus_ponens,[status(thm)],[147, 143])).
% 11.96/7.94 tff(149,plain,(
% 11.96/7.94 ![V_H: $i, V_X: $i, V_K: $i] : (c_in(c_Message_Omsg_OKey(V_K), V_H, tc_Message_Omsg) | c_in(c_Message_Omsg_OCrypt(V_K, V_X), V_H, tc_Message_Omsg) | (~c_in(c_Message_Omsg_OCrypt(V_K, V_X), c_Message_Osynth(V_H), tc_Message_Omsg)))),
% 11.96/7.94 inference(skolemize,[status(sab)],[148])).
% 11.96/7.94 tff(150,plain,
% 11.96/7.94 (![V_H: $i, V_X: $i, V_K: $i] : (c_in(c_Message_Omsg_OKey(V_K), V_H, tc_Message_Omsg) | c_in(c_Message_Omsg_OCrypt(V_K, V_X), V_H, tc_Message_Omsg) | (~c_in(c_Message_Omsg_OCrypt(V_K, V_X), c_Message_Osynth(V_H), tc_Message_Omsg)))),
% 11.96/7.94 inference(modus_ponens,[status(thm)],[149, 142])).
% 11.96/7.94 tff(151,plain,
% 11.96/7.94 (((~![V_H: $i, V_X: $i, V_K: $i] : (c_in(c_Message_Omsg_OKey(V_K), V_H, tc_Message_Omsg) | c_in(c_Message_Omsg_OCrypt(V_K, V_X), V_H, tc_Message_Omsg) | (~c_in(c_Message_Omsg_OCrypt(V_K, V_X), c_Message_Osynth(V_H), tc_Message_Omsg)))) | (c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_B), c_Message_Omsg_OMPair(v_NB, c_Message_Omsg_OKey(v_K))), c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy, v_evs4)), tc_Message_Omsg) | (~c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_B), c_Message_Omsg_OMPair(v_NB, c_Message_Omsg_OKey(v_K))), c_Message_Osynth(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy, v_evs4))), tc_Message_Omsg)) | c_in(c_Message_Omsg_OKey(c_Public_OshrK(v_B)), c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy, v_evs4)), tc_Message_Omsg))) <=> ((~![V_H: $i, V_X: $i, V_K: $i] : (c_in(c_Message_Omsg_OKey(V_K), V_H, tc_Message_Omsg) | c_in(c_Message_Omsg_OCrypt(V_K, V_X), V_H, tc_Message_Omsg) | (~c_in(c_Message_Omsg_OCrypt(V_K, V_X), c_Message_Osynth(V_H), tc_Message_Omsg)))) | c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_B), c_Message_Omsg_OMPair(v_NB, c_Message_Omsg_OKey(v_K))), c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy, v_evs4)), tc_Message_Omsg) | (~c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_B), c_Message_Omsg_OMPair(v_NB, c_Message_Omsg_OKey(v_K))), c_Message_Osynth(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy, v_evs4))), tc_Message_Omsg)) | c_in(c_Message_Omsg_OKey(c_Public_OshrK(v_B)), c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy, v_evs4)), tc_Message_Omsg))),
% 11.96/7.94 inference(rewrite,[status(thm)],[])).
% 11.96/7.94 tff(152,plain,
% 11.96/7.94 ((c_in(c_Message_Omsg_OKey(c_Public_OshrK(v_B)), c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy, v_evs4)), tc_Message_Omsg) | c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_B), c_Message_Omsg_OMPair(v_NB, c_Message_Omsg_OKey(v_K))), c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy, v_evs4)), tc_Message_Omsg) | (~c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_B), c_Message_Omsg_OMPair(v_NB, c_Message_Omsg_OKey(v_K))), c_Message_Osynth(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy, v_evs4))), tc_Message_Omsg))) <=> (c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_B), c_Message_Omsg_OMPair(v_NB, c_Message_Omsg_OKey(v_K))), c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy, v_evs4)), tc_Message_Omsg) | (~c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_B), c_Message_Omsg_OMPair(v_NB, c_Message_Omsg_OKey(v_K))), c_Message_Osynth(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy, v_evs4))), tc_Message_Omsg)) | c_in(c_Message_Omsg_OKey(c_Public_OshrK(v_B)), c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy, v_evs4)), tc_Message_Omsg))),
% 11.96/7.94 inference(rewrite,[status(thm)],[])).
% 11.96/7.94 tff(153,plain,
% 11.96/7.94 (((~![V_H: $i, V_X: $i, V_K: $i] : (c_in(c_Message_Omsg_OKey(V_K), V_H, tc_Message_Omsg) | c_in(c_Message_Omsg_OCrypt(V_K, V_X), V_H, tc_Message_Omsg) | (~c_in(c_Message_Omsg_OCrypt(V_K, V_X), c_Message_Osynth(V_H), tc_Message_Omsg)))) | (c_in(c_Message_Omsg_OKey(c_Public_OshrK(v_B)), c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy, v_evs4)), tc_Message_Omsg) | c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_B), c_Message_Omsg_OMPair(v_NB, c_Message_Omsg_OKey(v_K))), c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy, v_evs4)), tc_Message_Omsg) | (~c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_B), c_Message_Omsg_OMPair(v_NB, c_Message_Omsg_OKey(v_K))), c_Message_Osynth(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy, v_evs4))), tc_Message_Omsg)))) <=> ((~![V_H: $i, V_X: $i, V_K: $i] : (c_in(c_Message_Omsg_OKey(V_K), V_H, tc_Message_Omsg) | c_in(c_Message_Omsg_OCrypt(V_K, V_X), V_H, tc_Message_Omsg) | (~c_in(c_Message_Omsg_OCrypt(V_K, V_X), c_Message_Osynth(V_H), tc_Message_Omsg)))) | (c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_B), c_Message_Omsg_OMPair(v_NB, c_Message_Omsg_OKey(v_K))), c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy, v_evs4)), tc_Message_Omsg) | (~c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_B), c_Message_Omsg_OMPair(v_NB, c_Message_Omsg_OKey(v_K))), c_Message_Osynth(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy, v_evs4))), tc_Message_Omsg)) | c_in(c_Message_Omsg_OKey(c_Public_OshrK(v_B)), c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy, v_evs4)), tc_Message_Omsg)))),
% 11.96/7.94 inference(monotonicity,[status(thm)],[152])).
% 11.96/7.94 tff(154,plain,
% 11.96/7.94 (((~![V_H: $i, V_X: $i, V_K: $i] : (c_in(c_Message_Omsg_OKey(V_K), V_H, tc_Message_Omsg) | c_in(c_Message_Omsg_OCrypt(V_K, V_X), V_H, tc_Message_Omsg) | (~c_in(c_Message_Omsg_OCrypt(V_K, V_X), c_Message_Osynth(V_H), tc_Message_Omsg)))) | (c_in(c_Message_Omsg_OKey(c_Public_OshrK(v_B)), c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy, v_evs4)), tc_Message_Omsg) | c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_B), c_Message_Omsg_OMPair(v_NB, c_Message_Omsg_OKey(v_K))), c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy, v_evs4)), tc_Message_Omsg) | (~c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_B), c_Message_Omsg_OMPair(v_NB, c_Message_Omsg_OKey(v_K))), c_Message_Osynth(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy, v_evs4))), tc_Message_Omsg)))) <=> ((~![V_H: $i, V_X: $i, V_K: $i] : (c_in(c_Message_Omsg_OKey(V_K), V_H, tc_Message_Omsg) | c_in(c_Message_Omsg_OCrypt(V_K, V_X), V_H, tc_Message_Omsg) | (~c_in(c_Message_Omsg_OCrypt(V_K, V_X), c_Message_Osynth(V_H), tc_Message_Omsg)))) | c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_B), c_Message_Omsg_OMPair(v_NB, c_Message_Omsg_OKey(v_K))), c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy, v_evs4)), tc_Message_Omsg) | (~c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_B), c_Message_Omsg_OMPair(v_NB, c_Message_Omsg_OKey(v_K))), c_Message_Osynth(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy, v_evs4))), tc_Message_Omsg)) | c_in(c_Message_Omsg_OKey(c_Public_OshrK(v_B)), c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy, v_evs4)), tc_Message_Omsg))),
% 11.96/7.94 inference(transitivity,[status(thm)],[153, 151])).
% 11.96/7.94 tff(155,plain,
% 11.96/7.94 ((~![V_H: $i, V_X: $i, V_K: $i] : (c_in(c_Message_Omsg_OKey(V_K), V_H, tc_Message_Omsg) | c_in(c_Message_Omsg_OCrypt(V_K, V_X), V_H, tc_Message_Omsg) | (~c_in(c_Message_Omsg_OCrypt(V_K, V_X), c_Message_Osynth(V_H), tc_Message_Omsg)))) | (c_in(c_Message_Omsg_OKey(c_Public_OshrK(v_B)), c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy, v_evs4)), tc_Message_Omsg) | c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_B), c_Message_Omsg_OMPair(v_NB, c_Message_Omsg_OKey(v_K))), c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy, v_evs4)), tc_Message_Omsg) | (~c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_B), c_Message_Omsg_OMPair(v_NB, c_Message_Omsg_OKey(v_K))), c_Message_Osynth(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy, v_evs4))), tc_Message_Omsg)))),
% 11.96/7.94 inference(quant_inst,[status(thm)],[])).
% 11.96/7.94 tff(156,plain,
% 11.96/7.94 ((~![V_H: $i, V_X: $i, V_K: $i] : (c_in(c_Message_Omsg_OKey(V_K), V_H, tc_Message_Omsg) | c_in(c_Message_Omsg_OCrypt(V_K, V_X), V_H, tc_Message_Omsg) | (~c_in(c_Message_Omsg_OCrypt(V_K, V_X), c_Message_Osynth(V_H), tc_Message_Omsg)))) | c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_B), c_Message_Omsg_OMPair(v_NB, c_Message_Omsg_OKey(v_K))), c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy, v_evs4)), tc_Message_Omsg) | (~c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_B), c_Message_Omsg_OMPair(v_NB, c_Message_Omsg_OKey(v_K))), c_Message_Osynth(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy, v_evs4))), tc_Message_Omsg)) | c_in(c_Message_Omsg_OKey(c_Public_OshrK(v_B)), c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy, v_evs4)), tc_Message_Omsg)),
% 11.96/7.94 inference(modus_ponens,[status(thm)],[155, 154])).
% 11.96/7.94 tff(157,plain,
% 11.96/7.94 ($false),
% 11.96/7.94 inference(unit_resolution,[status(thm)],[156, 150, 140, 38, 12])).
% 11.96/7.94 tff(158,plain,(c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_B), c_Message_Omsg_OMPair(v_NB, c_Message_Omsg_OKey(v_K))), c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy, v_evs4)), tc_Message_Omsg)), inference(lemma,lemma(discharge,[]))).
% 11.96/7.94 tff(159,plain,
% 11.96/7.94 (^[V_U: $i] : refl(((~c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_B), c_Message_Omsg_OMPair(v_NB, c_Message_Omsg_OKey(v_K))), c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy, v_evs4)), tc_Message_Omsg)) | (~c_in(c_Event_Oevent_OSays(v_B, c_Message_Oagent_OServer, c_Message_Omsg_OMPair(v_NA, c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A), c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_B), c_Message_Omsg_OMPair(V_U, c_Message_Omsg_OCrypt(c_Public_OshrK(v_B), c_Message_Omsg_OMPair(v_NA, c_Message_Omsg_OMPair(v_NB, c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A), c_Message_Omsg_OAgent(v_B)))))))))), c_List_Oset(v_evs4, tc_Event_Oevent), tc_Event_Oevent))) <=> ((~c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_B), c_Message_Omsg_OMPair(v_NB, c_Message_Omsg_OKey(v_K))), c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy, v_evs4)), tc_Message_Omsg)) | (~c_in(c_Event_Oevent_OSays(v_B, c_Message_Oagent_OServer, c_Message_Omsg_OMPair(v_NA, c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A), c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_B), c_Message_Omsg_OMPair(V_U, c_Message_Omsg_OCrypt(c_Public_OshrK(v_B), c_Message_Omsg_OMPair(v_NA, c_Message_Omsg_OMPair(v_NB, c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A), c_Message_Omsg_OAgent(v_B)))))))))), c_List_Oset(v_evs4, tc_Event_Oevent), tc_Event_Oevent))))),
% 11.96/7.94 inference(bind,[status(th)],[])).
% 11.96/7.94 tff(160,plain,
% 11.96/7.94 (![V_U: $i] : ((~c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_B), c_Message_Omsg_OMPair(v_NB, c_Message_Omsg_OKey(v_K))), c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy, v_evs4)), tc_Message_Omsg)) | (~c_in(c_Event_Oevent_OSays(v_B, c_Message_Oagent_OServer, c_Message_Omsg_OMPair(v_NA, c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A), c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_B), c_Message_Omsg_OMPair(V_U, c_Message_Omsg_OCrypt(c_Public_OshrK(v_B), c_Message_Omsg_OMPair(v_NA, c_Message_Omsg_OMPair(v_NB, c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A), c_Message_Omsg_OAgent(v_B)))))))))), c_List_Oset(v_evs4, tc_Event_Oevent), tc_Event_Oevent))) <=> ![V_U: $i] : ((~c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_B), c_Message_Omsg_OMPair(v_NB, c_Message_Omsg_OKey(v_K))), c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy, v_evs4)), tc_Message_Omsg)) | (~c_in(c_Event_Oevent_OSays(v_B, c_Message_Oagent_OServer, c_Message_Omsg_OMPair(v_NA, c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A), c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_B), c_Message_Omsg_OMPair(V_U, c_Message_Omsg_OCrypt(c_Public_OshrK(v_B), c_Message_Omsg_OMPair(v_NA, c_Message_Omsg_OMPair(v_NB, c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A), c_Message_Omsg_OAgent(v_B)))))))))), c_List_Oset(v_evs4, tc_Event_Oevent), tc_Event_Oevent)))),
% 11.96/7.94 inference(quant_intro,[status(thm)],[159])).
% 11.96/7.94 tff(161,plain,
% 11.96/7.94 (![V_U: $i] : ((~c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_B), c_Message_Omsg_OMPair(v_NB, c_Message_Omsg_OKey(v_K))), c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy, v_evs4)), tc_Message_Omsg)) | (~c_in(c_Event_Oevent_OSays(v_B, c_Message_Oagent_OServer, c_Message_Omsg_OMPair(v_NA, c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A), c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_B), c_Message_Omsg_OMPair(V_U, c_Message_Omsg_OCrypt(c_Public_OshrK(v_B), c_Message_Omsg_OMPair(v_NA, c_Message_Omsg_OMPair(v_NB, c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A), c_Message_Omsg_OAgent(v_B)))))))))), c_List_Oset(v_evs4, tc_Event_Oevent), tc_Event_Oevent))) <=> ![V_U: $i] : ((~c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_B), c_Message_Omsg_OMPair(v_NB, c_Message_Omsg_OKey(v_K))), c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy, v_evs4)), tc_Message_Omsg)) | (~c_in(c_Event_Oevent_OSays(v_B, c_Message_Oagent_OServer, c_Message_Omsg_OMPair(v_NA, c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A), c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_B), c_Message_Omsg_OMPair(V_U, c_Message_Omsg_OCrypt(c_Public_OshrK(v_B), c_Message_Omsg_OMPair(v_NA, c_Message_Omsg_OMPair(v_NB, c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A), c_Message_Omsg_OAgent(v_B)))))))))), c_List_Oset(v_evs4, tc_Event_Oevent), tc_Event_Oevent)))),
% 11.96/7.94 inference(rewrite,[status(thm)],[])).
% 11.96/7.94 tff(162,plain,
% 11.96/7.94 (^[V_U: $i] : trans(monotonicity(iff_false(asserted(~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_NB, c_Message_Omsg_OKey(v_K)))))), c_List_Oset(v_evs4, 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_NB, c_Message_Omsg_OKey(v_K)))))), c_List_Oset(v_evs4, tc_Event_Oevent), tc_Event_Oevent) <=> $false)), ((c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer, v_B, c_Message_Omsg_OMPair(v_NA, c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(v_A), c_Message_Omsg_OMPair(v_NA, c_Message_Omsg_OKey(v_K))), c_Message_Omsg_OCrypt(c_Public_OshrK(v_B), c_Message_Omsg_OMPair(v_NB, c_Message_Omsg_OKey(v_K)))))), c_List_Oset(v_evs4, tc_Event_Oevent), tc_Event_Oevent) | (~c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_B), c_Message_Omsg_OMPair(v_NB, c_Message_Omsg_OKey(v_K))), c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy, v_evs4)), tc_Message_Omsg)) | (~c_in(c_Event_Oevent_OSays(v_B, c_Message_Oagent_OServer, c_Message_Omsg_OMPair(v_NA, c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A), c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_B), c_Message_Omsg_OMPair(V_U, c_Message_Omsg_OCrypt(c_Public_OshrK(v_B), c_Message_Omsg_OMPair(v_NA, c_Message_Omsg_OMPair(v_NB, c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A), c_Message_Omsg_OAgent(v_B)))))))))), c_List_Oset(v_evs4, tc_Event_Oevent), tc_Event_Oevent))) <=> ($false | (~c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_B), c_Message_Omsg_OMPair(v_NB, c_Message_Omsg_OKey(v_K))), c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy, v_evs4)), tc_Message_Omsg)) | (~c_in(c_Event_Oevent_OSays(v_B, c_Message_Oagent_OServer, c_Message_Omsg_OMPair(v_NA, c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A), c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_B), c_Message_Omsg_OMPair(V_U, c_Message_Omsg_OCrypt(c_Public_OshrK(v_B), c_Message_Omsg_OMPair(v_NA, c_Message_Omsg_OMPair(v_NB, c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A), c_Message_Omsg_OAgent(v_B)))))))))), c_List_Oset(v_evs4, tc_Event_Oevent), tc_Event_Oevent))))), rewrite(($false | (~c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_B), c_Message_Omsg_OMPair(v_NB, c_Message_Omsg_OKey(v_K))), c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy, v_evs4)), tc_Message_Omsg)) | (~c_in(c_Event_Oevent_OSays(v_B, c_Message_Oagent_OServer, c_Message_Omsg_OMPair(v_NA, c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A), c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_B), c_Message_Omsg_OMPair(V_U, c_Message_Omsg_OCrypt(c_Public_OshrK(v_B), c_Message_Omsg_OMPair(v_NA, c_Message_Omsg_OMPair(v_NB, c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A), c_Message_Omsg_OAgent(v_B)))))))))), c_List_Oset(v_evs4, tc_Event_Oevent), tc_Event_Oevent))) <=> ((~c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_B), c_Message_Omsg_OMPair(v_NB, c_Message_Omsg_OKey(v_K))), c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy, v_evs4)), tc_Message_Omsg)) | (~c_in(c_Event_Oevent_OSays(v_B, c_Message_Oagent_OServer, c_Message_Omsg_OMPair(v_NA, c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A), c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_B), c_Message_Omsg_OMPair(V_U, c_Message_Omsg_OCrypt(c_Public_OshrK(v_B), c_Message_Omsg_OMPair(v_NA, c_Message_Omsg_OMPair(v_NB, c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A), c_Message_Omsg_OAgent(v_B)))))))))), c_List_Oset(v_evs4, 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_NB, c_Message_Omsg_OKey(v_K)))))), c_List_Oset(v_evs4, tc_Event_Oevent), tc_Event_Oevent) | (~c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_B), c_Message_Omsg_OMPair(v_NB, c_Message_Omsg_OKey(v_K))), c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy, v_evs4)), tc_Message_Omsg)) | (~c_in(c_Event_Oevent_OSays(v_B, c_Message_Oagent_OServer, c_Message_Omsg_OMPair(v_NA, c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A), c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_B), c_Message_Omsg_OMPair(V_U, c_Message_Omsg_OCrypt(c_Public_OshrK(v_B), c_Message_Omsg_OMPair(v_NA, c_Message_Omsg_OMPair(v_NB, c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A), c_Message_Omsg_OAgent(v_B)))))))))), c_List_Oset(v_evs4, tc_Event_Oevent), tc_Event_Oevent))) <=> ((~c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_B), c_Message_Omsg_OMPair(v_NB, c_Message_Omsg_OKey(v_K))), c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy, v_evs4)), tc_Message_Omsg)) | (~c_in(c_Event_Oevent_OSays(v_B, c_Message_Oagent_OServer, c_Message_Omsg_OMPair(v_NA, c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A), c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_B), c_Message_Omsg_OMPair(V_U, c_Message_Omsg_OCrypt(c_Public_OshrK(v_B), c_Message_Omsg_OMPair(v_NA, c_Message_Omsg_OMPair(v_NB, c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A), c_Message_Omsg_OAgent(v_B)))))))))), c_List_Oset(v_evs4, tc_Event_Oevent), tc_Event_Oevent)))))),
% 11.96/7.94 inference(bind,[status(th)],[])).
% 11.96/7.94 tff(163,plain,
% 11.96/7.94 (![V_U: $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_NB, c_Message_Omsg_OKey(v_K)))))), c_List_Oset(v_evs4, tc_Event_Oevent), tc_Event_Oevent) | (~c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_B), c_Message_Omsg_OMPair(v_NB, c_Message_Omsg_OKey(v_K))), c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy, v_evs4)), tc_Message_Omsg)) | (~c_in(c_Event_Oevent_OSays(v_B, c_Message_Oagent_OServer, c_Message_Omsg_OMPair(v_NA, c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A), c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_B), c_Message_Omsg_OMPair(V_U, c_Message_Omsg_OCrypt(c_Public_OshrK(v_B), c_Message_Omsg_OMPair(v_NA, c_Message_Omsg_OMPair(v_NB, c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A), c_Message_Omsg_OAgent(v_B)))))))))), c_List_Oset(v_evs4, tc_Event_Oevent), tc_Event_Oevent))) <=> ![V_U: $i] : ((~c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_B), c_Message_Omsg_OMPair(v_NB, c_Message_Omsg_OKey(v_K))), c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy, v_evs4)), tc_Message_Omsg)) | (~c_in(c_Event_Oevent_OSays(v_B, c_Message_Oagent_OServer, c_Message_Omsg_OMPair(v_NA, c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A), c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_B), c_Message_Omsg_OMPair(V_U, c_Message_Omsg_OCrypt(c_Public_OshrK(v_B), c_Message_Omsg_OMPair(v_NA, c_Message_Omsg_OMPair(v_NB, c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A), c_Message_Omsg_OAgent(v_B)))))))))), c_List_Oset(v_evs4, tc_Event_Oevent), tc_Event_Oevent)))),
% 11.96/7.94 inference(quant_intro,[status(thm)],[162])).
% 11.96/7.94 tff(164,plain,
% 11.96/7.94 (^[V_U: $i] : trans(monotonicity(rewrite((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_NB, c_Message_Omsg_OKey(v_K)))))), c_List_Oset(v_evs4, tc_Event_Oevent), tc_Event_Oevent) | (~c_in(c_Event_Oevent_OSays(v_B, c_Message_Oagent_OServer, c_Message_Omsg_OMPair(v_NA, c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A), c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_B), c_Message_Omsg_OMPair(V_U, c_Message_Omsg_OCrypt(c_Public_OshrK(v_B), c_Message_Omsg_OMPair(v_NA, c_Message_Omsg_OMPair(v_NB, c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A), c_Message_Omsg_OAgent(v_B)))))))))), c_List_Oset(v_evs4, 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_NB, c_Message_Omsg_OKey(v_K)))))), c_List_Oset(v_evs4, tc_Event_Oevent), tc_Event_Oevent) | (~c_in(c_Event_Oevent_OSays(v_B, c_Message_Oagent_OServer, c_Message_Omsg_OMPair(v_NA, c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A), c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_B), c_Message_Omsg_OMPair(V_U, c_Message_Omsg_OCrypt(c_Public_OshrK(v_B), c_Message_Omsg_OMPair(v_NA, c_Message_Omsg_OMPair(v_NB, c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A), c_Message_Omsg_OAgent(v_B)))))))))), c_List_Oset(v_evs4, 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_NB, c_Message_Omsg_OKey(v_K)))))), c_List_Oset(v_evs4, tc_Event_Oevent), tc_Event_Oevent) | (~c_in(c_Event_Oevent_OSays(v_B, c_Message_Oagent_OServer, c_Message_Omsg_OMPair(v_NA, c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A), c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_B), c_Message_Omsg_OMPair(V_U, c_Message_Omsg_OCrypt(c_Public_OshrK(v_B), c_Message_Omsg_OMPair(v_NA, c_Message_Omsg_OMPair(v_NB, c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A), c_Message_Omsg_OAgent(v_B)))))))))), c_List_Oset(v_evs4, tc_Event_Oevent), tc_Event_Oevent))) | (~c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_B), c_Message_Omsg_OMPair(v_NB, c_Message_Omsg_OKey(v_K))), c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy, v_evs4)), 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_NB, c_Message_Omsg_OKey(v_K)))))), c_List_Oset(v_evs4, tc_Event_Oevent), tc_Event_Oevent) | (~c_in(c_Event_Oevent_OSays(v_B, c_Message_Oagent_OServer, c_Message_Omsg_OMPair(v_NA, c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A), c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_B), c_Message_Omsg_OMPair(V_U, c_Message_Omsg_OCrypt(c_Public_OshrK(v_B), c_Message_Omsg_OMPair(v_NA, c_Message_Omsg_OMPair(v_NB, c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A), c_Message_Omsg_OAgent(v_B)))))))))), c_List_Oset(v_evs4, tc_Event_Oevent), tc_Event_Oevent))) | (~c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_B), c_Message_Omsg_OMPair(v_NB, c_Message_Omsg_OKey(v_K))), c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy, v_evs4)), tc_Message_Omsg))))), rewrite(((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_NB, c_Message_Omsg_OKey(v_K)))))), c_List_Oset(v_evs4, tc_Event_Oevent), tc_Event_Oevent) | (~c_in(c_Event_Oevent_OSays(v_B, c_Message_Oagent_OServer, c_Message_Omsg_OMPair(v_NA, c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A), c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_B), c_Message_Omsg_OMPair(V_U, c_Message_Omsg_OCrypt(c_Public_OshrK(v_B), c_Message_Omsg_OMPair(v_NA, c_Message_Omsg_OMPair(v_NB, c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A), c_Message_Omsg_OAgent(v_B)))))))))), c_List_Oset(v_evs4, tc_Event_Oevent), tc_Event_Oevent))) | (~c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_B), c_Message_Omsg_OMPair(v_NB, c_Message_Omsg_OKey(v_K))), c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy, v_evs4)), 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_NB, c_Message_Omsg_OKey(v_K)))))), c_List_Oset(v_evs4, tc_Event_Oevent), tc_Event_Oevent) | (~c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_B), c_Message_Omsg_OMPair(v_NB, c_Message_Omsg_OKey(v_K))), c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy, v_evs4)), tc_Message_Omsg)) | (~c_in(c_Event_Oevent_OSays(v_B, c_Message_Oagent_OServer, c_Message_Omsg_OMPair(v_NA, c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A), c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_B), c_Message_Omsg_OMPair(V_U, c_Message_Omsg_OCrypt(c_Public_OshrK(v_B), c_Message_Omsg_OMPair(v_NA, c_Message_Omsg_OMPair(v_NB, c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A), c_Message_Omsg_OAgent(v_B)))))))))), c_List_Oset(v_evs4, 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_NB, c_Message_Omsg_OKey(v_K)))))), c_List_Oset(v_evs4, tc_Event_Oevent), tc_Event_Oevent) | (~c_in(c_Event_Oevent_OSays(v_B, c_Message_Oagent_OServer, c_Message_Omsg_OMPair(v_NA, c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A), c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_B), c_Message_Omsg_OMPair(V_U, c_Message_Omsg_OCrypt(c_Public_OshrK(v_B), c_Message_Omsg_OMPair(v_NA, c_Message_Omsg_OMPair(v_NB, c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A), c_Message_Omsg_OAgent(v_B)))))))))), c_List_Oset(v_evs4, tc_Event_Oevent), tc_Event_Oevent))) | (~c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_B), c_Message_Omsg_OMPair(v_NB, c_Message_Omsg_OKey(v_K))), c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy, v_evs4)), 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_NB, c_Message_Omsg_OKey(v_K)))))), c_List_Oset(v_evs4, tc_Event_Oevent), tc_Event_Oevent) | (~c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_B), c_Message_Omsg_OMPair(v_NB, c_Message_Omsg_OKey(v_K))), c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy, v_evs4)), tc_Message_Omsg)) | (~c_in(c_Event_Oevent_OSays(v_B, c_Message_Oagent_OServer, c_Message_Omsg_OMPair(v_NA, c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A), c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_B), c_Message_Omsg_OMPair(V_U, c_Message_Omsg_OCrypt(c_Public_OshrK(v_B), c_Message_Omsg_OMPair(v_NA, c_Message_Omsg_OMPair(v_NB, c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A), c_Message_Omsg_OAgent(v_B)))))))))), c_List_Oset(v_evs4, tc_Event_Oevent), tc_Event_Oevent)))))),
% 11.96/7.95 inference(bind,[status(th)],[])).
% 11.96/7.95 tff(165,plain,
% 11.96/7.95 (![V_U: $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_NB, c_Message_Omsg_OKey(v_K)))))), c_List_Oset(v_evs4, tc_Event_Oevent), tc_Event_Oevent) | (~c_in(c_Event_Oevent_OSays(v_B, c_Message_Oagent_OServer, c_Message_Omsg_OMPair(v_NA, c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A), c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_B), c_Message_Omsg_OMPair(V_U, c_Message_Omsg_OCrypt(c_Public_OshrK(v_B), c_Message_Omsg_OMPair(v_NA, c_Message_Omsg_OMPair(v_NB, c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A), c_Message_Omsg_OAgent(v_B)))))))))), c_List_Oset(v_evs4, tc_Event_Oevent), tc_Event_Oevent))) | (~c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_B), c_Message_Omsg_OMPair(v_NB, c_Message_Omsg_OKey(v_K))), c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy, v_evs4)), tc_Message_Omsg))) <=> ![V_U: $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_NB, c_Message_Omsg_OKey(v_K)))))), c_List_Oset(v_evs4, tc_Event_Oevent), tc_Event_Oevent) | (~c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_B), c_Message_Omsg_OMPair(v_NB, c_Message_Omsg_OKey(v_K))), c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy, v_evs4)), tc_Message_Omsg)) | (~c_in(c_Event_Oevent_OSays(v_B, c_Message_Oagent_OServer, c_Message_Omsg_OMPair(v_NA, c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A), c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_B), c_Message_Omsg_OMPair(V_U, c_Message_Omsg_OCrypt(c_Public_OshrK(v_B), c_Message_Omsg_OMPair(v_NA, c_Message_Omsg_OMPair(v_NB, c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A), c_Message_Omsg_OAgent(v_B)))))))))), c_List_Oset(v_evs4, tc_Event_Oevent), tc_Event_Oevent)))),
% 11.96/7.95 inference(quant_intro,[status(thm)],[164])).
% 11.96/7.95 tff(166,axiom,(![V_U: $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_NB, c_Message_Omsg_OKey(v_K)))))), c_List_Oset(v_evs4, tc_Event_Oevent), tc_Event_Oevent) | (~c_in(c_Event_Oevent_OSays(v_B, c_Message_Oagent_OServer, c_Message_Omsg_OMPair(v_NA, c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A), c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_B), c_Message_Omsg_OMPair(V_U, c_Message_Omsg_OCrypt(c_Public_OshrK(v_B), c_Message_Omsg_OMPair(v_NA, c_Message_Omsg_OMPair(v_NB, c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A), c_Message_Omsg_OAgent(v_B)))))))))), c_List_Oset(v_evs4, tc_Event_Oevent), tc_Event_Oevent))) | (~c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_B), c_Message_Omsg_OMPair(v_NB, c_Message_Omsg_OKey(v_K))), c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy, v_evs4)), tc_Message_Omsg)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','cls_conjecture_11')).
% 11.96/7.95 tff(167,plain,
% 11.96/7.95 (![V_U: $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_NB, c_Message_Omsg_OKey(v_K)))))), c_List_Oset(v_evs4, tc_Event_Oevent), tc_Event_Oevent) | (~c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_B), c_Message_Omsg_OMPair(v_NB, c_Message_Omsg_OKey(v_K))), c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy, v_evs4)), tc_Message_Omsg)) | (~c_in(c_Event_Oevent_OSays(v_B, c_Message_Oagent_OServer, c_Message_Omsg_OMPair(v_NA, c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A), c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_B), c_Message_Omsg_OMPair(V_U, c_Message_Omsg_OCrypt(c_Public_OshrK(v_B), c_Message_Omsg_OMPair(v_NA, c_Message_Omsg_OMPair(v_NB, c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A), c_Message_Omsg_OAgent(v_B)))))))))), c_List_Oset(v_evs4, tc_Event_Oevent), tc_Event_Oevent)))),
% 11.96/7.95 inference(modus_ponens,[status(thm)],[166, 165])).
% 11.96/7.95 tff(168,plain,
% 11.96/7.95 (![V_U: $i] : ((~c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_B), c_Message_Omsg_OMPair(v_NB, c_Message_Omsg_OKey(v_K))), c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy, v_evs4)), tc_Message_Omsg)) | (~c_in(c_Event_Oevent_OSays(v_B, c_Message_Oagent_OServer, c_Message_Omsg_OMPair(v_NA, c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A), c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_B), c_Message_Omsg_OMPair(V_U, c_Message_Omsg_OCrypt(c_Public_OshrK(v_B), c_Message_Omsg_OMPair(v_NA, c_Message_Omsg_OMPair(v_NB, c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A), c_Message_Omsg_OAgent(v_B)))))))))), c_List_Oset(v_evs4, tc_Event_Oevent), tc_Event_Oevent)))),
% 11.96/7.95 inference(modus_ponens,[status(thm)],[167, 163])).
% 11.96/7.95 tff(169,plain,
% 11.96/7.95 (![V_U: $i] : ((~c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_B), c_Message_Omsg_OMPair(v_NB, c_Message_Omsg_OKey(v_K))), c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy, v_evs4)), tc_Message_Omsg)) | (~c_in(c_Event_Oevent_OSays(v_B, c_Message_Oagent_OServer, c_Message_Omsg_OMPair(v_NA, c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A), c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_B), c_Message_Omsg_OMPair(V_U, c_Message_Omsg_OCrypt(c_Public_OshrK(v_B), c_Message_Omsg_OMPair(v_NA, c_Message_Omsg_OMPair(v_NB, c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A), c_Message_Omsg_OAgent(v_B)))))))))), c_List_Oset(v_evs4, tc_Event_Oevent), tc_Event_Oevent)))),
% 11.96/7.95 inference(modus_ponens,[status(thm)],[168, 161])).
% 11.96/7.95 tff(170,plain,(
% 11.96/7.95 ![V_U: $i] : ((~c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_B), c_Message_Omsg_OMPair(v_NB, c_Message_Omsg_OKey(v_K))), c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy, v_evs4)), tc_Message_Omsg)) | (~c_in(c_Event_Oevent_OSays(v_B, c_Message_Oagent_OServer, c_Message_Omsg_OMPair(v_NA, c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A), c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_B), c_Message_Omsg_OMPair(V_U, c_Message_Omsg_OCrypt(c_Public_OshrK(v_B), c_Message_Omsg_OMPair(v_NA, c_Message_Omsg_OMPair(v_NB, c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A), c_Message_Omsg_OAgent(v_B)))))))))), c_List_Oset(v_evs4, tc_Event_Oevent), tc_Event_Oevent)))),
% 11.96/7.95 inference(skolemize,[status(sab)],[169])).
% 11.96/7.95 tff(171,plain,
% 11.96/7.95 (![V_U: $i] : ((~c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_B), c_Message_Omsg_OMPair(v_NB, c_Message_Omsg_OKey(v_K))), c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy, v_evs4)), tc_Message_Omsg)) | (~c_in(c_Event_Oevent_OSays(v_B, c_Message_Oagent_OServer, c_Message_Omsg_OMPair(v_NA, c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A), c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_B), c_Message_Omsg_OMPair(V_U, c_Message_Omsg_OCrypt(c_Public_OshrK(v_B), c_Message_Omsg_OMPair(v_NA, c_Message_Omsg_OMPair(v_NB, c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A), c_Message_Omsg_OAgent(v_B)))))))))), c_List_Oset(v_evs4, tc_Event_Oevent), tc_Event_Oevent)))),
% 11.96/7.95 inference(modus_ponens,[status(thm)],[170, 160])).
% 11.96/7.95 tff(172,assumption,(c_in(c_Event_Oevent_OSays(v_B, c_Message_Oagent_OServer, c_Message_Omsg_OMPair(v_NA, c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A), c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_B), c_Message_Omsg_OMPair(v_x, c_Message_Omsg_OCrypt(c_Public_OshrK(v_B), c_Message_Omsg_OMPair(v_NA, c_Message_Omsg_OMPair(v_NB, c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A), c_Message_Omsg_OAgent(v_B)))))))))), c_List_Oset(v_evs4, tc_Event_Oevent), tc_Event_Oevent)), introduced(assumption)).
% 11.96/7.95 tff(173,plain,
% 11.96/7.95 (((~![V_U: $i] : ((~c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_B), c_Message_Omsg_OMPair(v_NB, c_Message_Omsg_OKey(v_K))), c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy, v_evs4)), tc_Message_Omsg)) | (~c_in(c_Event_Oevent_OSays(v_B, c_Message_Oagent_OServer, c_Message_Omsg_OMPair(v_NA, c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A), c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_B), c_Message_Omsg_OMPair(V_U, c_Message_Omsg_OCrypt(c_Public_OshrK(v_B), c_Message_Omsg_OMPair(v_NA, c_Message_Omsg_OMPair(v_NB, c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A), c_Message_Omsg_OAgent(v_B)))))))))), c_List_Oset(v_evs4, tc_Event_Oevent), tc_Event_Oevent)))) | ((~c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_B), c_Message_Omsg_OMPair(v_NB, c_Message_Omsg_OKey(v_K))), c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy, v_evs4)), tc_Message_Omsg)) | (~c_in(c_Event_Oevent_OSays(v_B, c_Message_Oagent_OServer, c_Message_Omsg_OMPair(v_NA, c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A), c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_B), c_Message_Omsg_OMPair(v_x, c_Message_Omsg_OCrypt(c_Public_OshrK(v_B), c_Message_Omsg_OMPair(v_NA, c_Message_Omsg_OMPair(v_NB, c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A), c_Message_Omsg_OAgent(v_B)))))))))), c_List_Oset(v_evs4, tc_Event_Oevent), tc_Event_Oevent)))) <=> ((~![V_U: $i] : ((~c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_B), c_Message_Omsg_OMPair(v_NB, c_Message_Omsg_OKey(v_K))), c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy, v_evs4)), tc_Message_Omsg)) | (~c_in(c_Event_Oevent_OSays(v_B, c_Message_Oagent_OServer, c_Message_Omsg_OMPair(v_NA, c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A), c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_B), c_Message_Omsg_OMPair(V_U, c_Message_Omsg_OCrypt(c_Public_OshrK(v_B), c_Message_Omsg_OMPair(v_NA, c_Message_Omsg_OMPair(v_NB, c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A), c_Message_Omsg_OAgent(v_B)))))))))), c_List_Oset(v_evs4, tc_Event_Oevent), tc_Event_Oevent)))) | (~c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_B), c_Message_Omsg_OMPair(v_NB, c_Message_Omsg_OKey(v_K))), c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy, v_evs4)), tc_Message_Omsg)) | (~c_in(c_Event_Oevent_OSays(v_B, c_Message_Oagent_OServer, c_Message_Omsg_OMPair(v_NA, c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A), c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_B), c_Message_Omsg_OMPair(v_x, c_Message_Omsg_OCrypt(c_Public_OshrK(v_B), c_Message_Omsg_OMPair(v_NA, c_Message_Omsg_OMPair(v_NB, c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A), c_Message_Omsg_OAgent(v_B)))))))))), c_List_Oset(v_evs4, tc_Event_Oevent), tc_Event_Oevent)))),
% 11.96/7.95 inference(rewrite,[status(thm)],[])).
% 11.96/7.95 tff(174,plain,
% 11.96/7.95 ((~![V_U: $i] : ((~c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_B), c_Message_Omsg_OMPair(v_NB, c_Message_Omsg_OKey(v_K))), c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy, v_evs4)), tc_Message_Omsg)) | (~c_in(c_Event_Oevent_OSays(v_B, c_Message_Oagent_OServer, c_Message_Omsg_OMPair(v_NA, c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A), c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_B), c_Message_Omsg_OMPair(V_U, c_Message_Omsg_OCrypt(c_Public_OshrK(v_B), c_Message_Omsg_OMPair(v_NA, c_Message_Omsg_OMPair(v_NB, c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A), c_Message_Omsg_OAgent(v_B)))))))))), c_List_Oset(v_evs4, tc_Event_Oevent), tc_Event_Oevent)))) | ((~c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_B), c_Message_Omsg_OMPair(v_NB, c_Message_Omsg_OKey(v_K))), c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy, v_evs4)), tc_Message_Omsg)) | (~c_in(c_Event_Oevent_OSays(v_B, c_Message_Oagent_OServer, c_Message_Omsg_OMPair(v_NA, c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A), c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_B), c_Message_Omsg_OMPair(v_x, c_Message_Omsg_OCrypt(c_Public_OshrK(v_B), c_Message_Omsg_OMPair(v_NA, c_Message_Omsg_OMPair(v_NB, c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A), c_Message_Omsg_OAgent(v_B)))))))))), c_List_Oset(v_evs4, tc_Event_Oevent), tc_Event_Oevent)))),
% 11.96/7.95 inference(quant_inst,[status(thm)],[])).
% 11.96/7.95 tff(175,plain,
% 11.96/7.95 ((~![V_U: $i] : ((~c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_B), c_Message_Omsg_OMPair(v_NB, c_Message_Omsg_OKey(v_K))), c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy, v_evs4)), tc_Message_Omsg)) | (~c_in(c_Event_Oevent_OSays(v_B, c_Message_Oagent_OServer, c_Message_Omsg_OMPair(v_NA, c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A), c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_B), c_Message_Omsg_OMPair(V_U, c_Message_Omsg_OCrypt(c_Public_OshrK(v_B), c_Message_Omsg_OMPair(v_NA, c_Message_Omsg_OMPair(v_NB, c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A), c_Message_Omsg_OAgent(v_B)))))))))), c_List_Oset(v_evs4, tc_Event_Oevent), tc_Event_Oevent)))) | (~c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_B), c_Message_Omsg_OMPair(v_NB, c_Message_Omsg_OKey(v_K))), c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy, v_evs4)), tc_Message_Omsg)) | (~c_in(c_Event_Oevent_OSays(v_B, c_Message_Oagent_OServer, c_Message_Omsg_OMPair(v_NA, c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A), c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_B), c_Message_Omsg_OMPair(v_x, c_Message_Omsg_OCrypt(c_Public_OshrK(v_B), c_Message_Omsg_OMPair(v_NA, c_Message_Omsg_OMPair(v_NB, c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A), c_Message_Omsg_OAgent(v_B)))))))))), c_List_Oset(v_evs4, tc_Event_Oevent), tc_Event_Oevent))),
% 11.96/7.95 inference(modus_ponens,[status(thm)],[174, 173])).
% 11.96/7.95 tff(176,plain,
% 11.96/7.95 ($false),
% 11.96/7.95 inference(unit_resolution,[status(thm)],[175, 172, 171, 158])).
% 11.96/7.95 tff(177,plain,(~c_in(c_Event_Oevent_OSays(v_B, c_Message_Oagent_OServer, c_Message_Omsg_OMPair(v_NA, c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A), c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_B), c_Message_Omsg_OMPair(v_x, c_Message_Omsg_OCrypt(c_Public_OshrK(v_B), c_Message_Omsg_OMPair(v_NA, c_Message_Omsg_OMPair(v_NB, c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A), c_Message_Omsg_OAgent(v_B)))))))))), c_List_Oset(v_evs4, tc_Event_Oevent), tc_Event_Oevent)), inference(lemma,lemma(discharge,[]))).
% 11.96/7.95 tff(178,plain,
% 11.96/7.95 ((c_in(c_Event_Oevent_OSays(v_B, c_Message_Oagent_OServer, c_Message_Omsg_OMPair(v_NA, c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A), c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_B), c_Message_Omsg_OMPair(v_x, c_Message_Omsg_OCrypt(c_Public_OshrK(v_B), c_Message_Omsg_OMPair(v_NA, c_Message_Omsg_OMPair(v_NB, c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A), c_Message_Omsg_OAgent(v_B)))))))))), c_List_Oset(v_evs4, tc_Event_Oevent), tc_Event_Oevent) | (v_B = v_Ba)) <=> (c_in(c_Event_Oevent_OSays(v_B, c_Message_Oagent_OServer, c_Message_Omsg_OMPair(v_NA, c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A), c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_B), c_Message_Omsg_OMPair(v_x, c_Message_Omsg_OCrypt(c_Public_OshrK(v_B), c_Message_Omsg_OMPair(v_NA, c_Message_Omsg_OMPair(v_NB, c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A), c_Message_Omsg_OAgent(v_B)))))))))), c_List_Oset(v_evs4, tc_Event_Oevent), tc_Event_Oevent) | (v_B = v_Ba))),
% 11.96/7.95 inference(rewrite,[status(thm)],[])).
% 11.96/7.95 tff(179,axiom,(c_in(c_Event_Oevent_OSays(v_B, c_Message_Oagent_OServer, c_Message_Omsg_OMPair(v_NA, c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A), c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_B), c_Message_Omsg_OMPair(v_x, c_Message_Omsg_OCrypt(c_Public_OshrK(v_B), c_Message_Omsg_OMPair(v_NA, c_Message_Omsg_OMPair(v_NB, c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A), c_Message_Omsg_OAgent(v_B)))))))))), c_List_Oset(v_evs4, tc_Event_Oevent), tc_Event_Oevent) | (v_B = v_Ba)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','cls_conjecture_7')).
% 11.96/7.95 tff(180,plain,
% 11.96/7.95 (c_in(c_Event_Oevent_OSays(v_B, c_Message_Oagent_OServer, c_Message_Omsg_OMPair(v_NA, c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A), c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_B), c_Message_Omsg_OMPair(v_x, c_Message_Omsg_OCrypt(c_Public_OshrK(v_B), c_Message_Omsg_OMPair(v_NA, c_Message_Omsg_OMPair(v_NB, c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A), c_Message_Omsg_OAgent(v_B)))))))))), c_List_Oset(v_evs4, tc_Event_Oevent), tc_Event_Oevent) | (v_B = v_Ba)),
% 11.96/7.95 inference(modus_ponens,[status(thm)],[179, 178])).
% 11.96/7.95 tff(181,plain,
% 11.96/7.95 (c_in(c_Event_Oevent_OSays(v_B, c_Message_Oagent_OServer, c_Message_Omsg_OMPair(v_NA, c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A), c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_B), c_Message_Omsg_OMPair(v_x, c_Message_Omsg_OCrypt(c_Public_OshrK(v_B), c_Message_Omsg_OMPair(v_NA, c_Message_Omsg_OMPair(v_NB, c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A), c_Message_Omsg_OAgent(v_B)))))))))), c_List_Oset(v_evs4, tc_Event_Oevent), tc_Event_Oevent) | (v_B = v_Ba)),
% 11.96/7.95 inference(modus_ponens,[status(thm)],[180, 178])).
% 11.96/7.95 tff(182,plain,
% 11.96/7.95 (c_in(c_Event_Oevent_OSays(v_B, c_Message_Oagent_OServer, c_Message_Omsg_OMPair(v_NA, c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A), c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_B), c_Message_Omsg_OMPair(v_x, c_Message_Omsg_OCrypt(c_Public_OshrK(v_B), c_Message_Omsg_OMPair(v_NA, c_Message_Omsg_OMPair(v_NB, c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A), c_Message_Omsg_OAgent(v_B)))))))))), c_List_Oset(v_evs4, tc_Event_Oevent), tc_Event_Oevent) | (v_B = v_Ba)),
% 11.96/7.95 inference(modus_ponens,[status(thm)],[181, 178])).
% 11.96/7.95 tff(183,plain,
% 11.96/7.95 (c_in(c_Event_Oevent_OSays(v_B, c_Message_Oagent_OServer, c_Message_Omsg_OMPair(v_NA, c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A), c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_B), c_Message_Omsg_OMPair(v_x, c_Message_Omsg_OCrypt(c_Public_OshrK(v_B), c_Message_Omsg_OMPair(v_NA, c_Message_Omsg_OMPair(v_NB, c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A), c_Message_Omsg_OAgent(v_B)))))))))), c_List_Oset(v_evs4, tc_Event_Oevent), tc_Event_Oevent) | (v_B = v_Ba)),
% 11.96/7.95 inference(modus_ponens,[status(thm)],[182, 178])).
% 11.96/7.95 tff(184,plain,
% 11.96/7.95 (c_in(c_Event_Oevent_OSays(v_B, c_Message_Oagent_OServer, c_Message_Omsg_OMPair(v_NA, c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A), c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_B), c_Message_Omsg_OMPair(v_x, c_Message_Omsg_OCrypt(c_Public_OshrK(v_B), c_Message_Omsg_OMPair(v_NA, c_Message_Omsg_OMPair(v_NB, c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A), c_Message_Omsg_OAgent(v_B)))))))))), c_List_Oset(v_evs4, tc_Event_Oevent), tc_Event_Oevent) | (v_B = v_Ba)),
% 11.96/7.95 inference(modus_ponens,[status(thm)],[183, 178])).
% 11.96/7.95 tff(185,plain,
% 11.96/7.95 (c_in(c_Event_Oevent_OSays(v_B, c_Message_Oagent_OServer, c_Message_Omsg_OMPair(v_NA, c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A), c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_B), c_Message_Omsg_OMPair(v_x, c_Message_Omsg_OCrypt(c_Public_OshrK(v_B), c_Message_Omsg_OMPair(v_NA, c_Message_Omsg_OMPair(v_NB, c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A), c_Message_Omsg_OAgent(v_B)))))))))), c_List_Oset(v_evs4, tc_Event_Oevent), tc_Event_Oevent) | (v_B = v_Ba)),
% 11.96/7.95 inference(modus_ponens,[status(thm)],[184, 178])).
% 11.96/7.95 tff(186,plain,
% 11.96/7.95 (c_in(c_Event_Oevent_OSays(v_B, c_Message_Oagent_OServer, c_Message_Omsg_OMPair(v_NA, c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A), c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_B), c_Message_Omsg_OMPair(v_x, c_Message_Omsg_OCrypt(c_Public_OshrK(v_B), c_Message_Omsg_OMPair(v_NA, c_Message_Omsg_OMPair(v_NB, c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A), c_Message_Omsg_OAgent(v_B)))))))))), c_List_Oset(v_evs4, tc_Event_Oevent), tc_Event_Oevent) | (v_B = v_Ba)),
% 11.96/7.95 inference(modus_ponens,[status(thm)],[185, 178])).
% 11.96/7.95 tff(187,plain,
% 11.96/7.95 (c_in(c_Event_Oevent_OSays(v_B, c_Message_Oagent_OServer, c_Message_Omsg_OMPair(v_NA, c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A), c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_B), c_Message_Omsg_OMPair(v_x, c_Message_Omsg_OCrypt(c_Public_OshrK(v_B), c_Message_Omsg_OMPair(v_NA, c_Message_Omsg_OMPair(v_NB, c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A), c_Message_Omsg_OAgent(v_B)))))))))), c_List_Oset(v_evs4, tc_Event_Oevent), tc_Event_Oevent) | (v_B = v_Ba)),
% 11.96/7.95 inference(modus_ponens,[status(thm)],[186, 178])).
% 11.96/7.95 tff(188,plain,
% 11.96/7.95 (c_in(c_Event_Oevent_OSays(v_B, c_Message_Oagent_OServer, c_Message_Omsg_OMPair(v_NA, c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A), c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_B), c_Message_Omsg_OMPair(v_x, c_Message_Omsg_OCrypt(c_Public_OshrK(v_B), c_Message_Omsg_OMPair(v_NA, c_Message_Omsg_OMPair(v_NB, c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A), c_Message_Omsg_OAgent(v_B)))))))))), c_List_Oset(v_evs4, tc_Event_Oevent), tc_Event_Oevent) | (v_B = v_Ba)),
% 11.96/7.95 inference(modus_ponens,[status(thm)],[187, 178])).
% 11.96/7.95 tff(189,plain,
% 11.96/7.95 (v_B = v_Ba),
% 11.96/7.95 inference(unit_resolution,[status(thm)],[188, 177])).
% 11.96/7.95 tff(190,plain,
% 11.96/7.95 (c_Message_Omsg_OAgent(v_B) = c_Message_Omsg_OAgent(v_Ba)),
% 11.96/7.95 inference(monotonicity,[status(thm)],[189])).
% 11.96/7.95 tff(191,plain,
% 11.96/7.95 (c_Message_Omsg_OAgent(v_Ba) = c_Message_Omsg_OAgent(v_B)),
% 11.96/7.95 inference(symmetry,[status(thm)],[190])).
% 11.96/7.95 tff(192,plain,
% 11.96/7.95 (c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A), c_Message_Omsg_OAgent(v_Ba)) = c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A), c_Message_Omsg_OAgent(v_B))),
% 11.96/7.95 inference(monotonicity,[status(thm)],[191])).
% 11.96/7.95 tff(193,plain,
% 11.96/7.95 (c_Message_Omsg_OMPair(v_NB, c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A), c_Message_Omsg_OAgent(v_Ba))) = c_Message_Omsg_OMPair(v_NB, c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A), c_Message_Omsg_OAgent(v_B)))),
% 11.96/7.95 inference(monotonicity,[status(thm)],[192])).
% 11.96/7.95 tff(194,plain,
% 11.96/7.95 ((c_in(c_Event_Oevent_OSays(v_B, c_Message_Oagent_OServer, c_Message_Omsg_OMPair(v_NA, c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A), c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_B), c_Message_Omsg_OMPair(v_x, c_Message_Omsg_OCrypt(c_Public_OshrK(v_B), c_Message_Omsg_OMPair(v_NA, c_Message_Omsg_OMPair(v_NB, c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A), c_Message_Omsg_OAgent(v_B)))))))))), c_List_Oset(v_evs4, tc_Event_Oevent), tc_Event_Oevent) | (v_NA = c_Message_Omsg_ONonce(v_NAa))) <=> (c_in(c_Event_Oevent_OSays(v_B, c_Message_Oagent_OServer, c_Message_Omsg_OMPair(v_NA, c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A), c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_B), c_Message_Omsg_OMPair(v_x, c_Message_Omsg_OCrypt(c_Public_OshrK(v_B), c_Message_Omsg_OMPair(v_NA, c_Message_Omsg_OMPair(v_NB, c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A), c_Message_Omsg_OAgent(v_B)))))))))), c_List_Oset(v_evs4, tc_Event_Oevent), tc_Event_Oevent) | (v_NA = c_Message_Omsg_ONonce(v_NAa)))),
% 11.96/7.95 inference(rewrite,[status(thm)],[])).
% 11.96/7.95 tff(195,axiom,(c_in(c_Event_Oevent_OSays(v_B, c_Message_Oagent_OServer, c_Message_Omsg_OMPair(v_NA, c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A), c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_B), c_Message_Omsg_OMPair(v_x, c_Message_Omsg_OCrypt(c_Public_OshrK(v_B), c_Message_Omsg_OMPair(v_NA, c_Message_Omsg_OMPair(v_NB, c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A), c_Message_Omsg_OAgent(v_B)))))))))), c_List_Oset(v_evs4, tc_Event_Oevent), tc_Event_Oevent) | (v_NA = c_Message_Omsg_ONonce(v_NAa))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','cls_conjecture_9')).
% 11.96/7.95 tff(196,plain,
% 11.96/7.95 (c_in(c_Event_Oevent_OSays(v_B, c_Message_Oagent_OServer, c_Message_Omsg_OMPair(v_NA, c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A), c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_B), c_Message_Omsg_OMPair(v_x, c_Message_Omsg_OCrypt(c_Public_OshrK(v_B), c_Message_Omsg_OMPair(v_NA, c_Message_Omsg_OMPair(v_NB, c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A), c_Message_Omsg_OAgent(v_B)))))))))), c_List_Oset(v_evs4, tc_Event_Oevent), tc_Event_Oevent) | (v_NA = c_Message_Omsg_ONonce(v_NAa))),
% 11.96/7.95 inference(modus_ponens,[status(thm)],[195, 194])).
% 11.96/7.95 tff(197,plain,
% 11.96/7.95 (c_in(c_Event_Oevent_OSays(v_B, c_Message_Oagent_OServer, c_Message_Omsg_OMPair(v_NA, c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A), c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_B), c_Message_Omsg_OMPair(v_x, c_Message_Omsg_OCrypt(c_Public_OshrK(v_B), c_Message_Omsg_OMPair(v_NA, c_Message_Omsg_OMPair(v_NB, c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A), c_Message_Omsg_OAgent(v_B)))))))))), c_List_Oset(v_evs4, tc_Event_Oevent), tc_Event_Oevent) | (v_NA = c_Message_Omsg_ONonce(v_NAa))),
% 11.96/7.95 inference(modus_ponens,[status(thm)],[196, 194])).
% 11.96/7.95 tff(198,plain,
% 11.96/7.95 (c_in(c_Event_Oevent_OSays(v_B, c_Message_Oagent_OServer, c_Message_Omsg_OMPair(v_NA, c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A), c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_B), c_Message_Omsg_OMPair(v_x, c_Message_Omsg_OCrypt(c_Public_OshrK(v_B), c_Message_Omsg_OMPair(v_NA, c_Message_Omsg_OMPair(v_NB, c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A), c_Message_Omsg_OAgent(v_B)))))))))), c_List_Oset(v_evs4, tc_Event_Oevent), tc_Event_Oevent) | (v_NA = c_Message_Omsg_ONonce(v_NAa))),
% 11.96/7.95 inference(modus_ponens,[status(thm)],[197, 194])).
% 11.96/7.95 tff(199,plain,
% 11.96/7.95 (c_in(c_Event_Oevent_OSays(v_B, c_Message_Oagent_OServer, c_Message_Omsg_OMPair(v_NA, c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A), c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_B), c_Message_Omsg_OMPair(v_x, c_Message_Omsg_OCrypt(c_Public_OshrK(v_B), c_Message_Omsg_OMPair(v_NA, c_Message_Omsg_OMPair(v_NB, c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A), c_Message_Omsg_OAgent(v_B)))))))))), c_List_Oset(v_evs4, tc_Event_Oevent), tc_Event_Oevent) | (v_NA = c_Message_Omsg_ONonce(v_NAa))),
% 11.96/7.95 inference(modus_ponens,[status(thm)],[198, 194])).
% 11.96/7.95 tff(200,plain,
% 11.96/7.95 (c_in(c_Event_Oevent_OSays(v_B, c_Message_Oagent_OServer, c_Message_Omsg_OMPair(v_NA, c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A), c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_B), c_Message_Omsg_OMPair(v_x, c_Message_Omsg_OCrypt(c_Public_OshrK(v_B), c_Message_Omsg_OMPair(v_NA, c_Message_Omsg_OMPair(v_NB, c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A), c_Message_Omsg_OAgent(v_B)))))))))), c_List_Oset(v_evs4, tc_Event_Oevent), tc_Event_Oevent) | (v_NA = c_Message_Omsg_ONonce(v_NAa))),
% 11.96/7.95 inference(modus_ponens,[status(thm)],[199, 194])).
% 11.96/7.95 tff(201,plain,
% 11.96/7.95 (c_in(c_Event_Oevent_OSays(v_B, c_Message_Oagent_OServer, c_Message_Omsg_OMPair(v_NA, c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A), c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_B), c_Message_Omsg_OMPair(v_x, c_Message_Omsg_OCrypt(c_Public_OshrK(v_B), c_Message_Omsg_OMPair(v_NA, c_Message_Omsg_OMPair(v_NB, c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A), c_Message_Omsg_OAgent(v_B)))))))))), c_List_Oset(v_evs4, tc_Event_Oevent), tc_Event_Oevent) | (v_NA = c_Message_Omsg_ONonce(v_NAa))),
% 11.96/7.95 inference(modus_ponens,[status(thm)],[200, 194])).
% 11.96/7.95 tff(202,plain,
% 11.96/7.95 (c_in(c_Event_Oevent_OSays(v_B, c_Message_Oagent_OServer, c_Message_Omsg_OMPair(v_NA, c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A), c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_B), c_Message_Omsg_OMPair(v_x, c_Message_Omsg_OCrypt(c_Public_OshrK(v_B), c_Message_Omsg_OMPair(v_NA, c_Message_Omsg_OMPair(v_NB, c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A), c_Message_Omsg_OAgent(v_B)))))))))), c_List_Oset(v_evs4, tc_Event_Oevent), tc_Event_Oevent) | (v_NA = c_Message_Omsg_ONonce(v_NAa))),
% 11.96/7.95 inference(modus_ponens,[status(thm)],[201, 194])).
% 11.96/7.95 tff(203,plain,
% 11.96/7.95 (c_in(c_Event_Oevent_OSays(v_B, c_Message_Oagent_OServer, c_Message_Omsg_OMPair(v_NA, c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A), c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_B), c_Message_Omsg_OMPair(v_x, c_Message_Omsg_OCrypt(c_Public_OshrK(v_B), c_Message_Omsg_OMPair(v_NA, c_Message_Omsg_OMPair(v_NB, c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A), c_Message_Omsg_OAgent(v_B)))))))))), c_List_Oset(v_evs4, tc_Event_Oevent), tc_Event_Oevent) | (v_NA = c_Message_Omsg_ONonce(v_NAa))),
% 11.96/7.95 inference(modus_ponens,[status(thm)],[202, 194])).
% 11.96/7.95 tff(204,plain,
% 11.96/7.95 (c_in(c_Event_Oevent_OSays(v_B, c_Message_Oagent_OServer, c_Message_Omsg_OMPair(v_NA, c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A), c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_B), c_Message_Omsg_OMPair(v_x, c_Message_Omsg_OCrypt(c_Public_OshrK(v_B), c_Message_Omsg_OMPair(v_NA, c_Message_Omsg_OMPair(v_NB, c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A), c_Message_Omsg_OAgent(v_B)))))))))), c_List_Oset(v_evs4, tc_Event_Oevent), tc_Event_Oevent) | (v_NA = c_Message_Omsg_ONonce(v_NAa))),
% 11.96/7.95 inference(modus_ponens,[status(thm)],[203, 194])).
% 11.96/7.95 tff(205,plain,
% 11.96/7.95 (v_NA = c_Message_Omsg_ONonce(v_NAa)),
% 11.96/7.95 inference(unit_resolution,[status(thm)],[204, 177])).
% 11.96/7.95 tff(206,plain,
% 11.96/7.95 (c_Message_Omsg_ONonce(v_NAa) = v_NA),
% 11.96/7.95 inference(symmetry,[status(thm)],[205])).
% 11.96/7.95 tff(207,plain,
% 11.96/7.95 (c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NAa), c_Message_Omsg_OMPair(v_NB, c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A), c_Message_Omsg_OAgent(v_Ba)))) = c_Message_Omsg_OMPair(v_NA, c_Message_Omsg_OMPair(v_NB, c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A), c_Message_Omsg_OAgent(v_B))))),
% 11.96/7.95 inference(monotonicity,[status(thm)],[206, 193])).
% 11.96/7.95 tff(208,plain,
% 11.96/7.95 (c_Public_OshrK(v_B) = c_Public_OshrK(v_Ba)),
% 11.96/7.95 inference(monotonicity,[status(thm)],[189])).
% 11.96/7.95 tff(209,plain,
% 11.96/7.95 (c_Public_OshrK(v_Ba) = c_Public_OshrK(v_B)),
% 11.96/7.95 inference(symmetry,[status(thm)],[208])).
% 11.96/7.95 tff(210,plain,
% 11.96/7.95 (c_Message_Omsg_OCrypt(c_Public_OshrK(v_Ba), c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NAa), c_Message_Omsg_OMPair(v_NB, c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A), c_Message_Omsg_OAgent(v_Ba))))) = c_Message_Omsg_OCrypt(c_Public_OshrK(v_B), c_Message_Omsg_OMPair(v_NA, c_Message_Omsg_OMPair(v_NB, c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A), c_Message_Omsg_OAgent(v_B)))))),
% 11.96/7.95 inference(monotonicity,[status(thm)],[209, 207])).
% 11.96/7.95 tff(211,plain,
% 11.96/7.95 (c_Message_Omsg_OCrypt(c_Public_OshrK(v_B), c_Message_Omsg_OMPair(v_NA, c_Message_Omsg_OMPair(v_NB, c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A), c_Message_Omsg_OAgent(v_B))))) = c_Message_Omsg_OCrypt(c_Public_OshrK(v_Ba), c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NAa), c_Message_Omsg_OMPair(v_NB, c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A), c_Message_Omsg_OAgent(v_Ba)))))),
% 11.96/7.95 inference(symmetry,[status(thm)],[210])).
% 11.96/7.95 tff(212,plain,
% 11.96/7.95 (c_Message_Omsg_OMPair(v_sko__u__1(v_A, v_Ba, c_Message_Omsg_ONonce(v_NAa), v_NB, v_evs4), c_Message_Omsg_OCrypt(c_Public_OshrK(v_B), c_Message_Omsg_OMPair(v_NA, c_Message_Omsg_OMPair(v_NB, c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A), c_Message_Omsg_OAgent(v_B)))))) = c_Message_Omsg_OMPair(v_sko__u__1(v_A, v_Ba, c_Message_Omsg_ONonce(v_NAa), v_NB, v_evs4), c_Message_Omsg_OCrypt(c_Public_OshrK(v_Ba), c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NAa), c_Message_Omsg_OMPair(v_NB, c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A), c_Message_Omsg_OAgent(v_Ba))))))),
% 11.96/7.95 inference(monotonicity,[status(thm)],[211])).
% 11.96/7.95 tff(213,plain,
% 11.96/7.95 (c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_B), c_Message_Omsg_OMPair(v_sko__u__1(v_A, v_Ba, c_Message_Omsg_ONonce(v_NAa), v_NB, v_evs4), c_Message_Omsg_OCrypt(c_Public_OshrK(v_B), c_Message_Omsg_OMPair(v_NA, c_Message_Omsg_OMPair(v_NB, c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A), c_Message_Omsg_OAgent(v_B))))))) = c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Ba), c_Message_Omsg_OMPair(v_sko__u__1(v_A, v_Ba, c_Message_Omsg_ONonce(v_NAa), v_NB, v_evs4), c_Message_Omsg_OCrypt(c_Public_OshrK(v_Ba), c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NAa), c_Message_Omsg_OMPair(v_NB, c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A), c_Message_Omsg_OAgent(v_Ba)))))))),
% 11.96/7.95 inference(monotonicity,[status(thm)],[190, 212])).
% 11.96/7.96 tff(214,plain,
% 11.96/7.96 (c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A), c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_B), c_Message_Omsg_OMPair(v_sko__u__1(v_A, v_Ba, c_Message_Omsg_ONonce(v_NAa), v_NB, v_evs4), c_Message_Omsg_OCrypt(c_Public_OshrK(v_B), c_Message_Omsg_OMPair(v_NA, c_Message_Omsg_OMPair(v_NB, c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A), c_Message_Omsg_OAgent(v_B)))))))) = c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A), c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Ba), c_Message_Omsg_OMPair(v_sko__u__1(v_A, v_Ba, c_Message_Omsg_ONonce(v_NAa), v_NB, v_evs4), c_Message_Omsg_OCrypt(c_Public_OshrK(v_Ba), c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NAa), c_Message_Omsg_OMPair(v_NB, c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A), c_Message_Omsg_OAgent(v_Ba))))))))),
% 11.96/7.96 inference(monotonicity,[status(thm)],[213])).
% 11.96/7.96 tff(215,plain,
% 11.96/7.96 (c_Message_Omsg_OMPair(v_NA, c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A), c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_B), c_Message_Omsg_OMPair(v_sko__u__1(v_A, v_Ba, c_Message_Omsg_ONonce(v_NAa), v_NB, v_evs4), c_Message_Omsg_OCrypt(c_Public_OshrK(v_B), c_Message_Omsg_OMPair(v_NA, c_Message_Omsg_OMPair(v_NB, c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A), c_Message_Omsg_OAgent(v_B))))))))) = c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NAa), c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A), c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Ba), c_Message_Omsg_OMPair(v_sko__u__1(v_A, v_Ba, c_Message_Omsg_ONonce(v_NAa), v_NB, v_evs4), c_Message_Omsg_OCrypt(c_Public_OshrK(v_Ba), c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NAa), c_Message_Omsg_OMPair(v_NB, c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A), c_Message_Omsg_OAgent(v_Ba)))))))))),
% 11.96/7.96 inference(monotonicity,[status(thm)],[205, 214])).
% 11.96/7.96 tff(216,plain,
% 11.96/7.96 (c_Event_Oevent_OSays(v_B, c_Message_Oagent_OServer, c_Message_Omsg_OMPair(v_NA, c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A), c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_B), c_Message_Omsg_OMPair(v_sko__u__1(v_A, v_Ba, c_Message_Omsg_ONonce(v_NAa), v_NB, v_evs4), c_Message_Omsg_OCrypt(c_Public_OshrK(v_B), c_Message_Omsg_OMPair(v_NA, c_Message_Omsg_OMPair(v_NB, c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A), c_Message_Omsg_OAgent(v_B)))))))))) = c_Event_Oevent_OSays(v_Ba, c_Message_Oagent_OServer, c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NAa), c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A), c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Ba), c_Message_Omsg_OMPair(v_sko__u__1(v_A, v_Ba, c_Message_Omsg_ONonce(v_NAa), v_NB, v_evs4), c_Message_Omsg_OCrypt(c_Public_OshrK(v_Ba), c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NAa), c_Message_Omsg_OMPair(v_NB, c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A), c_Message_Omsg_OAgent(v_Ba))))))))))),
% 11.96/7.96 inference(monotonicity,[status(thm)],[189, 215])).
% 11.96/7.96 tff(217,plain,
% 11.96/7.96 (c_in(c_Event_Oevent_OSays(v_B, c_Message_Oagent_OServer, c_Message_Omsg_OMPair(v_NA, c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A), c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_B), c_Message_Omsg_OMPair(v_sko__u__1(v_A, v_Ba, c_Message_Omsg_ONonce(v_NAa), v_NB, v_evs4), c_Message_Omsg_OCrypt(c_Public_OshrK(v_B), c_Message_Omsg_OMPair(v_NA, c_Message_Omsg_OMPair(v_NB, c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A), c_Message_Omsg_OAgent(v_B)))))))))), c_List_Oset(v_evs4, tc_Event_Oevent), tc_Event_Oevent) <=> c_in(c_Event_Oevent_OSays(v_Ba, c_Message_Oagent_OServer, c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NAa), c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A), c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Ba), c_Message_Omsg_OMPair(v_sko__u__1(v_A, v_Ba, c_Message_Omsg_ONonce(v_NAa), v_NB, v_evs4), c_Message_Omsg_OCrypt(c_Public_OshrK(v_Ba), c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NAa), c_Message_Omsg_OMPair(v_NB, c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A), c_Message_Omsg_OAgent(v_Ba)))))))))), c_List_Oset(v_evs4, tc_Event_Oevent), tc_Event_Oevent)),
% 11.96/7.96 inference(monotonicity,[status(thm)],[216])).
% 11.96/7.96 tff(218,plain,
% 11.96/7.96 (c_in(c_Event_Oevent_OSays(v_Ba, c_Message_Oagent_OServer, c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NAa), c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A), c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Ba), c_Message_Omsg_OMPair(v_sko__u__1(v_A, v_Ba, c_Message_Omsg_ONonce(v_NAa), v_NB, v_evs4), c_Message_Omsg_OCrypt(c_Public_OshrK(v_Ba), c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NAa), c_Message_Omsg_OMPair(v_NB, c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A), c_Message_Omsg_OAgent(v_Ba)))))))))), c_List_Oset(v_evs4, tc_Event_Oevent), tc_Event_Oevent) <=> c_in(c_Event_Oevent_OSays(v_B, c_Message_Oagent_OServer, c_Message_Omsg_OMPair(v_NA, c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A), c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_B), c_Message_Omsg_OMPair(v_sko__u__1(v_A, v_Ba, c_Message_Omsg_ONonce(v_NAa), v_NB, v_evs4), c_Message_Omsg_OCrypt(c_Public_OshrK(v_B), c_Message_Omsg_OMPair(v_NA, c_Message_Omsg_OMPair(v_NB, c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A), c_Message_Omsg_OAgent(v_B)))))))))), c_List_Oset(v_evs4, tc_Event_Oevent), tc_Event_Oevent)),
% 11.96/7.96 inference(symmetry,[status(thm)],[217])).
% 11.96/7.96 tff(219,plain,
% 11.96/7.96 (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(v_NB, c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A), c_Message_Omsg_OAgent(v_Ba))))), c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy, v_evs4)), tc_Message_Omsg) <=> c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_B), c_Message_Omsg_OMPair(v_NA, c_Message_Omsg_OMPair(v_NB, c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A), c_Message_Omsg_OAgent(v_B))))), c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy, v_evs4)), tc_Message_Omsg)),
% 11.96/7.96 inference(monotonicity,[status(thm)],[210])).
% 11.96/7.96 tff(220,plain,
% 11.96/7.96 (c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_B), c_Message_Omsg_OMPair(v_NA, c_Message_Omsg_OMPair(v_NB, c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A), c_Message_Omsg_OAgent(v_B))))), c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy, v_evs4)), 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(v_NB, c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A), c_Message_Omsg_OAgent(v_Ba))))), c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy, v_evs4)), tc_Message_Omsg)),
% 11.96/7.96 inference(symmetry,[status(thm)],[219])).
% 11.96/7.96 tff(221,plain,
% 11.96/7.96 (c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Ba), c_Message_Omsg_OMPair(v_x, c_Message_Omsg_OCrypt(c_Public_OshrK(v_B), c_Message_Omsg_OMPair(v_NA, c_Message_Omsg_OMPair(v_NB, c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A), c_Message_Omsg_OAgent(v_B))))))) = c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_B), c_Message_Omsg_OMPair(v_x, c_Message_Omsg_OCrypt(c_Public_OshrK(v_B), c_Message_Omsg_OMPair(v_NA, c_Message_Omsg_OMPair(v_NB, c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A), c_Message_Omsg_OAgent(v_B)))))))),
% 11.96/7.96 inference(monotonicity,[status(thm)],[191])).
% 11.96/7.96 tff(222,plain,
% 11.96/7.96 (c_in(c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Ba), c_Message_Omsg_OMPair(v_x, c_Message_Omsg_OCrypt(c_Public_OshrK(v_B), c_Message_Omsg_OMPair(v_NA, c_Message_Omsg_OMPair(v_NB, c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A), c_Message_Omsg_OAgent(v_B))))))), c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy, v_evs4)), tc_Message_Omsg) <=> c_in(c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_B), c_Message_Omsg_OMPair(v_x, c_Message_Omsg_OCrypt(c_Public_OshrK(v_B), c_Message_Omsg_OMPair(v_NA, c_Message_Omsg_OMPair(v_NB, c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A), c_Message_Omsg_OAgent(v_B))))))), c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy, v_evs4)), tc_Message_Omsg)),
% 11.96/7.96 inference(monotonicity,[status(thm)],[221])).
% 11.96/7.96 tff(223,plain,
% 11.96/7.96 (c_in(c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_B), c_Message_Omsg_OMPair(v_x, c_Message_Omsg_OCrypt(c_Public_OshrK(v_B), c_Message_Omsg_OMPair(v_NA, c_Message_Omsg_OMPair(v_NB, c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A), c_Message_Omsg_OAgent(v_B))))))), c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy, v_evs4)), tc_Message_Omsg) <=> c_in(c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Ba), c_Message_Omsg_OMPair(v_x, c_Message_Omsg_OCrypt(c_Public_OshrK(v_B), c_Message_Omsg_OMPair(v_NA, c_Message_Omsg_OMPair(v_NB, c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A), c_Message_Omsg_OAgent(v_B))))))), c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy, v_evs4)), tc_Message_Omsg)),
% 11.96/7.96 inference(symmetry,[status(thm)],[222])).
% 11.96/7.96 tff(224,plain,
% 11.96/7.96 (((c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A), c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_B), c_Message_Omsg_OMPair(v_x, c_Message_Omsg_OCrypt(c_Public_OshrK(v_B), c_Message_Omsg_OMPair(v_NA, c_Message_Omsg_OMPair(v_NB, c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A), c_Message_Omsg_OAgent(v_B)))))))) = v_X) | c_in(c_Event_Oevent_OSays(v_B, c_Message_Oagent_OServer, c_Message_Omsg_OMPair(v_NA, c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A), c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_B), c_Message_Omsg_OMPair(v_x, c_Message_Omsg_OCrypt(c_Public_OshrK(v_B), c_Message_Omsg_OMPair(v_NA, c_Message_Omsg_OMPair(v_NB, c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A), c_Message_Omsg_OAgent(v_B)))))))))), c_List_Oset(v_evs4, tc_Event_Oevent), tc_Event_Oevent)) <=> ((c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A), c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_B), c_Message_Omsg_OMPair(v_x, c_Message_Omsg_OCrypt(c_Public_OshrK(v_B), c_Message_Omsg_OMPair(v_NA, c_Message_Omsg_OMPair(v_NB, c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A), c_Message_Omsg_OAgent(v_B)))))))) = v_X) | c_in(c_Event_Oevent_OSays(v_B, c_Message_Oagent_OServer, c_Message_Omsg_OMPair(v_NA, c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A), c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_B), c_Message_Omsg_OMPair(v_x, c_Message_Omsg_OCrypt(c_Public_OshrK(v_B), c_Message_Omsg_OMPair(v_NA, c_Message_Omsg_OMPair(v_NB, c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A), c_Message_Omsg_OAgent(v_B)))))))))), c_List_Oset(v_evs4, tc_Event_Oevent), tc_Event_Oevent))),
% 11.96/7.96 inference(rewrite,[status(thm)],[])).
% 11.96/7.96 tff(225,plain,
% 11.96/7.96 ((c_in(c_Event_Oevent_OSays(v_B, c_Message_Oagent_OServer, c_Message_Omsg_OMPair(v_NA, c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A), c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_B), c_Message_Omsg_OMPair(v_x, c_Message_Omsg_OCrypt(c_Public_OshrK(v_B), c_Message_Omsg_OMPair(v_NA, c_Message_Omsg_OMPair(v_NB, c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A), c_Message_Omsg_OAgent(v_B)))))))))), c_List_Oset(v_evs4, tc_Event_Oevent), tc_Event_Oevent) | (c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A), c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_B), c_Message_Omsg_OMPair(v_x, c_Message_Omsg_OCrypt(c_Public_OshrK(v_B), c_Message_Omsg_OMPair(v_NA, c_Message_Omsg_OMPair(v_NB, c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A), c_Message_Omsg_OAgent(v_B)))))))) = v_X)) <=> ((c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A), c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_B), c_Message_Omsg_OMPair(v_x, c_Message_Omsg_OCrypt(c_Public_OshrK(v_B), c_Message_Omsg_OMPair(v_NA, c_Message_Omsg_OMPair(v_NB, c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A), c_Message_Omsg_OAgent(v_B)))))))) = v_X) | c_in(c_Event_Oevent_OSays(v_B, c_Message_Oagent_OServer, c_Message_Omsg_OMPair(v_NA, c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A), c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_B), c_Message_Omsg_OMPair(v_x, c_Message_Omsg_OCrypt(c_Public_OshrK(v_B), c_Message_Omsg_OMPair(v_NA, c_Message_Omsg_OMPair(v_NB, c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A), c_Message_Omsg_OAgent(v_B)))))))))), c_List_Oset(v_evs4, tc_Event_Oevent), tc_Event_Oevent))),
% 11.96/7.96 inference(rewrite,[status(thm)],[])).
% 11.96/7.96 tff(226,axiom,(c_in(c_Event_Oevent_OSays(v_B, c_Message_Oagent_OServer, c_Message_Omsg_OMPair(v_NA, c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A), c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_B), c_Message_Omsg_OMPair(v_x, c_Message_Omsg_OCrypt(c_Public_OshrK(v_B), c_Message_Omsg_OMPair(v_NA, c_Message_Omsg_OMPair(v_NB, c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A), c_Message_Omsg_OAgent(v_B)))))))))), c_List_Oset(v_evs4, tc_Event_Oevent), tc_Event_Oevent) | (c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A), c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_B), c_Message_Omsg_OMPair(v_x, c_Message_Omsg_OCrypt(c_Public_OshrK(v_B), c_Message_Omsg_OMPair(v_NA, c_Message_Omsg_OMPair(v_NB, c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A), c_Message_Omsg_OAgent(v_B)))))))) = v_X)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','cls_conjecture_10')).
% 11.96/7.96 tff(227,plain,
% 11.96/7.96 ((c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A), c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_B), c_Message_Omsg_OMPair(v_x, c_Message_Omsg_OCrypt(c_Public_OshrK(v_B), c_Message_Omsg_OMPair(v_NA, c_Message_Omsg_OMPair(v_NB, c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A), c_Message_Omsg_OAgent(v_B)))))))) = v_X) | c_in(c_Event_Oevent_OSays(v_B, c_Message_Oagent_OServer, c_Message_Omsg_OMPair(v_NA, c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A), c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_B), c_Message_Omsg_OMPair(v_x, c_Message_Omsg_OCrypt(c_Public_OshrK(v_B), c_Message_Omsg_OMPair(v_NA, c_Message_Omsg_OMPair(v_NB, c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A), c_Message_Omsg_OAgent(v_B)))))))))), c_List_Oset(v_evs4, tc_Event_Oevent), tc_Event_Oevent)),
% 11.96/7.96 inference(modus_ponens,[status(thm)],[226, 225])).
% 11.96/7.96 tff(228,plain,
% 11.96/7.96 ((c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A), c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_B), c_Message_Omsg_OMPair(v_x, c_Message_Omsg_OCrypt(c_Public_OshrK(v_B), c_Message_Omsg_OMPair(v_NA, c_Message_Omsg_OMPair(v_NB, c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A), c_Message_Omsg_OAgent(v_B)))))))) = v_X) | c_in(c_Event_Oevent_OSays(v_B, c_Message_Oagent_OServer, c_Message_Omsg_OMPair(v_NA, c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A), c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_B), c_Message_Omsg_OMPair(v_x, c_Message_Omsg_OCrypt(c_Public_OshrK(v_B), c_Message_Omsg_OMPair(v_NA, c_Message_Omsg_OMPair(v_NB, c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A), c_Message_Omsg_OAgent(v_B)))))))))), c_List_Oset(v_evs4, tc_Event_Oevent), tc_Event_Oevent)),
% 11.96/7.96 inference(modus_ponens,[status(thm)],[227, 224])).
% 11.96/7.96 tff(229,plain,
% 11.96/7.96 (c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A), c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_B), c_Message_Omsg_OMPair(v_x, c_Message_Omsg_OCrypt(c_Public_OshrK(v_B), c_Message_Omsg_OMPair(v_NA, c_Message_Omsg_OMPair(v_NB, c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A), c_Message_Omsg_OAgent(v_B)))))))) = v_X),
% 11.96/7.96 inference(unit_resolution,[status(thm)],[228, 177])).
% 11.96/7.96 tff(230,plain,
% 11.96/7.96 (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_OMPair(v_x, c_Message_Omsg_OCrypt(c_Public_OshrK(v_B), c_Message_Omsg_OMPair(v_NA, c_Message_Omsg_OMPair(v_NB, c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A), c_Message_Omsg_OAgent(v_B)))))))), c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy, v_evs4)), tc_Message_Omsg) <=> c_in(v_X, c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy, v_evs4)), tc_Message_Omsg)),
% 11.96/7.96 inference(monotonicity,[status(thm)],[229])).
% 11.96/7.96 tff(231,plain,
% 11.96/7.96 (c_in(v_X, c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy, v_evs4)), 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_OMPair(v_x, c_Message_Omsg_OCrypt(c_Public_OshrK(v_B), c_Message_Omsg_OMPair(v_NA, c_Message_Omsg_OMPair(v_NB, c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A), c_Message_Omsg_OAgent(v_B)))))))), c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy, v_evs4)), tc_Message_Omsg)),
% 11.96/7.96 inference(symmetry,[status(thm)],[230])).
% 11.96/7.96 tff(232,plain,
% 11.96/7.96 (((~![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_OMPair(c_Message_Omsg_ONonce(v_NAa), c_Message_Omsg_OMPair(v_X, c_Message_Omsg_OCrypt(c_Public_OshrK(v_Ba), c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NBa), c_Message_Omsg_OKey(v_Ka))))), c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy, v_evs4)), tc_Message_Omsg)) | c_in(c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NAa), c_Message_Omsg_OMPair(v_X, c_Message_Omsg_OCrypt(c_Public_OshrK(v_Ba), c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NBa), c_Message_Omsg_OKey(v_Ka))))), c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy, v_evs4)), 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_OMPair(c_Message_Omsg_ONonce(v_NAa), c_Message_Omsg_OMPair(v_X, c_Message_Omsg_OCrypt(c_Public_OshrK(v_Ba), c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NBa), c_Message_Omsg_OKey(v_Ka))))), c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy, v_evs4)), tc_Message_Omsg)) | c_in(c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NAa), c_Message_Omsg_OMPair(v_X, c_Message_Omsg_OCrypt(c_Public_OshrK(v_Ba), c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NBa), c_Message_Omsg_OKey(v_Ka))))), c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy, v_evs4)), tc_Message_Omsg))),
% 11.96/7.96 inference(rewrite,[status(thm)],[])).
% 11.96/7.96 tff(233,plain,
% 11.96/7.96 ((~![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_OMPair(c_Message_Omsg_ONonce(v_NAa), c_Message_Omsg_OMPair(v_X, c_Message_Omsg_OCrypt(c_Public_OshrK(v_Ba), c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NBa), c_Message_Omsg_OKey(v_Ka))))), c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy, v_evs4)), tc_Message_Omsg)) | c_in(c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NAa), c_Message_Omsg_OMPair(v_X, c_Message_Omsg_OCrypt(c_Public_OshrK(v_Ba), c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NBa), c_Message_Omsg_OKey(v_Ka))))), c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy, v_evs4)), tc_Message_Omsg))),
% 11.96/7.96 inference(quant_inst,[status(thm)],[])).
% 11.96/7.96 tff(234,plain,
% 11.96/7.96 ((~![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_OMPair(c_Message_Omsg_ONonce(v_NAa), c_Message_Omsg_OMPair(v_X, c_Message_Omsg_OCrypt(c_Public_OshrK(v_Ba), c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NBa), c_Message_Omsg_OKey(v_Ka))))), c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy, v_evs4)), tc_Message_Omsg)) | c_in(c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NAa), c_Message_Omsg_OMPair(v_X, c_Message_Omsg_OCrypt(c_Public_OshrK(v_Ba), c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NBa), c_Message_Omsg_OKey(v_Ka))))), c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy, v_evs4)), tc_Message_Omsg)),
% 11.96/7.96 inference(modus_ponens,[status(thm)],[233, 232])).
% 11.96/7.96 tff(235,plain,
% 11.96/7.96 (c_in(c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NAa), c_Message_Omsg_OMPair(v_X, c_Message_Omsg_OCrypt(c_Public_OshrK(v_Ba), c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NBa), c_Message_Omsg_OKey(v_Ka))))), c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy, v_evs4)), tc_Message_Omsg)),
% 11.96/7.96 inference(unit_resolution,[status(thm)],[234, 8, 69])).
% 11.96/7.96 tff(236,plain,
% 11.96/7.96 (^[V_Y: $i, V_H: $i, V_X: $i] : refl(((~c_in(c_Message_Omsg_OMPair(V_X, V_Y), c_Message_Oparts(V_H), tc_Message_Omsg)) | c_in(V_Y, c_Message_Oparts(V_H), tc_Message_Omsg)) <=> ((~c_in(c_Message_Omsg_OMPair(V_X, V_Y), c_Message_Oparts(V_H), tc_Message_Omsg)) | c_in(V_Y, c_Message_Oparts(V_H), tc_Message_Omsg)))),
% 11.96/7.96 inference(bind,[status(th)],[])).
% 11.96/7.96 tff(237,plain,
% 11.96/7.96 (![V_Y: $i, V_H: $i, V_X: $i] : ((~c_in(c_Message_Omsg_OMPair(V_X, V_Y), c_Message_Oparts(V_H), tc_Message_Omsg)) | c_in(V_Y, c_Message_Oparts(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_Oparts(V_H), tc_Message_Omsg)) | c_in(V_Y, c_Message_Oparts(V_H), tc_Message_Omsg))),
% 11.96/7.96 inference(quant_intro,[status(thm)],[236])).
% 11.96/7.96 tff(238,plain,
% 11.96/7.96 (![V_Y: $i, V_H: $i, V_X: $i] : ((~c_in(c_Message_Omsg_OMPair(V_X, V_Y), c_Message_Oparts(V_H), tc_Message_Omsg)) | c_in(V_Y, c_Message_Oparts(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_Oparts(V_H), tc_Message_Omsg)) | c_in(V_Y, c_Message_Oparts(V_H), tc_Message_Omsg))),
% 11.96/7.96 inference(rewrite,[status(thm)],[])).
% 11.96/7.96 tff(239,axiom,(![V_Y: $i, V_H: $i, V_X: $i] : ((~c_in(c_Message_Omsg_OMPair(V_X, V_Y), c_Message_Oparts(V_H), tc_Message_Omsg)) | c_in(V_Y, c_Message_Oparts(V_H), tc_Message_Omsg))), file('/export/starexec/sandbox/benchmark/Axioms/SWV006-0.ax','cls_Message_OMPair__parts_0')).
% 11.96/7.96 tff(240,plain,
% 11.96/7.96 (![V_Y: $i, V_H: $i, V_X: $i] : ((~c_in(c_Message_Omsg_OMPair(V_X, V_Y), c_Message_Oparts(V_H), tc_Message_Omsg)) | c_in(V_Y, c_Message_Oparts(V_H), tc_Message_Omsg))),
% 11.96/7.96 inference(modus_ponens,[status(thm)],[239, 238])).
% 11.96/7.96 tff(241,plain,(
% 11.96/7.96 ![V_Y: $i, V_H: $i, V_X: $i] : ((~c_in(c_Message_Omsg_OMPair(V_X, V_Y), c_Message_Oparts(V_H), tc_Message_Omsg)) | c_in(V_Y, c_Message_Oparts(V_H), tc_Message_Omsg))),
% 11.96/7.96 inference(skolemize,[status(sab)],[240])).
% 11.96/7.96 tff(242,plain,
% 11.96/7.96 (![V_Y: $i, V_H: $i, V_X: $i] : ((~c_in(c_Message_Omsg_OMPair(V_X, V_Y), c_Message_Oparts(V_H), tc_Message_Omsg)) | c_in(V_Y, c_Message_Oparts(V_H), tc_Message_Omsg))),
% 11.96/7.96 inference(modus_ponens,[status(thm)],[241, 237])).
% 11.96/7.96 tff(243,plain,
% 11.96/7.96 (((~![V_Y: $i, V_H: $i, V_X: $i] : ((~c_in(c_Message_Omsg_OMPair(V_X, V_Y), c_Message_Oparts(V_H), tc_Message_Omsg)) | c_in(V_Y, c_Message_Oparts(V_H), tc_Message_Omsg))) | ((~c_in(c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NAa), c_Message_Omsg_OMPair(v_X, c_Message_Omsg_OCrypt(c_Public_OshrK(v_Ba), c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NBa), c_Message_Omsg_OKey(v_Ka))))), c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy, v_evs4)), tc_Message_Omsg)) | c_in(c_Message_Omsg_OMPair(v_X, c_Message_Omsg_OCrypt(c_Public_OshrK(v_Ba), c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NBa), c_Message_Omsg_OKey(v_Ka)))), c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy, v_evs4)), tc_Message_Omsg))) <=> ((~![V_Y: $i, V_H: $i, V_X: $i] : ((~c_in(c_Message_Omsg_OMPair(V_X, V_Y), c_Message_Oparts(V_H), tc_Message_Omsg)) | c_in(V_Y, c_Message_Oparts(V_H), tc_Message_Omsg))) | (~c_in(c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NAa), c_Message_Omsg_OMPair(v_X, c_Message_Omsg_OCrypt(c_Public_OshrK(v_Ba), c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NBa), c_Message_Omsg_OKey(v_Ka))))), c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy, v_evs4)), tc_Message_Omsg)) | c_in(c_Message_Omsg_OMPair(v_X, c_Message_Omsg_OCrypt(c_Public_OshrK(v_Ba), c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NBa), c_Message_Omsg_OKey(v_Ka)))), c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy, v_evs4)), tc_Message_Omsg))),
% 11.96/7.96 inference(rewrite,[status(thm)],[])).
% 11.96/7.96 tff(244,plain,
% 11.96/7.96 ((~![V_Y: $i, V_H: $i, V_X: $i] : ((~c_in(c_Message_Omsg_OMPair(V_X, V_Y), c_Message_Oparts(V_H), tc_Message_Omsg)) | c_in(V_Y, c_Message_Oparts(V_H), tc_Message_Omsg))) | ((~c_in(c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NAa), c_Message_Omsg_OMPair(v_X, c_Message_Omsg_OCrypt(c_Public_OshrK(v_Ba), c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NBa), c_Message_Omsg_OKey(v_Ka))))), c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy, v_evs4)), tc_Message_Omsg)) | c_in(c_Message_Omsg_OMPair(v_X, c_Message_Omsg_OCrypt(c_Public_OshrK(v_Ba), c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NBa), c_Message_Omsg_OKey(v_Ka)))), c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy, v_evs4)), tc_Message_Omsg))),
% 11.96/7.96 inference(quant_inst,[status(thm)],[])).
% 11.96/7.96 tff(245,plain,
% 11.96/7.96 ((~![V_Y: $i, V_H: $i, V_X: $i] : ((~c_in(c_Message_Omsg_OMPair(V_X, V_Y), c_Message_Oparts(V_H), tc_Message_Omsg)) | c_in(V_Y, c_Message_Oparts(V_H), tc_Message_Omsg))) | (~c_in(c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NAa), c_Message_Omsg_OMPair(v_X, c_Message_Omsg_OCrypt(c_Public_OshrK(v_Ba), c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NBa), c_Message_Omsg_OKey(v_Ka))))), c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy, v_evs4)), tc_Message_Omsg)) | c_in(c_Message_Omsg_OMPair(v_X, c_Message_Omsg_OCrypt(c_Public_OshrK(v_Ba), c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NBa), c_Message_Omsg_OKey(v_Ka)))), c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy, v_evs4)), tc_Message_Omsg)),
% 11.96/7.96 inference(modus_ponens,[status(thm)],[244, 243])).
% 11.96/7.96 tff(246,plain,
% 11.96/7.96 (c_in(c_Message_Omsg_OMPair(v_X, c_Message_Omsg_OCrypt(c_Public_OshrK(v_Ba), c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NBa), c_Message_Omsg_OKey(v_Ka)))), c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy, v_evs4)), tc_Message_Omsg)),
% 11.96/7.96 inference(unit_resolution,[status(thm)],[245, 242, 235])).
% 11.96/7.96 tff(247,plain,
% 11.96/7.96 (^[V_Y: $i, V_H: $i, V_X: $i] : refl(((~c_in(c_Message_Omsg_OMPair(V_X, V_Y), 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_OMPair(V_X, V_Y), c_Message_Oparts(V_H), tc_Message_Omsg)) | c_in(V_X, c_Message_Oparts(V_H), tc_Message_Omsg)))),
% 11.96/7.96 inference(bind,[status(th)],[])).
% 11.96/7.96 tff(248,plain,
% 11.96/7.96 (![V_Y: $i, V_H: $i, V_X: $i] : ((~c_in(c_Message_Omsg_OMPair(V_X, V_Y), c_Message_Oparts(V_H), tc_Message_Omsg)) | c_in(V_X, c_Message_Oparts(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_Oparts(V_H), tc_Message_Omsg)) | c_in(V_X, c_Message_Oparts(V_H), tc_Message_Omsg))),
% 11.96/7.96 inference(quant_intro,[status(thm)],[247])).
% 11.96/7.96 tff(249,plain,
% 11.96/7.96 (![V_Y: $i, V_H: $i, V_X: $i] : ((~c_in(c_Message_Omsg_OMPair(V_X, V_Y), c_Message_Oparts(V_H), tc_Message_Omsg)) | c_in(V_X, c_Message_Oparts(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_Oparts(V_H), tc_Message_Omsg)) | c_in(V_X, c_Message_Oparts(V_H), tc_Message_Omsg))),
% 11.96/7.96 inference(rewrite,[status(thm)],[])).
% 11.96/7.96 tff(250,axiom,(![V_Y: $i, V_H: $i, V_X: $i] : ((~c_in(c_Message_Omsg_OMPair(V_X, V_Y), c_Message_Oparts(V_H), tc_Message_Omsg)) | c_in(V_X, c_Message_Oparts(V_H), tc_Message_Omsg))), file('/export/starexec/sandbox/benchmark/Axioms/SWV006-0.ax','cls_Message_OMPair__parts_1')).
% 11.96/7.96 tff(251,plain,
% 11.96/7.96 (![V_Y: $i, V_H: $i, V_X: $i] : ((~c_in(c_Message_Omsg_OMPair(V_X, V_Y), c_Message_Oparts(V_H), tc_Message_Omsg)) | c_in(V_X, c_Message_Oparts(V_H), tc_Message_Omsg))),
% 11.96/7.96 inference(modus_ponens,[status(thm)],[250, 249])).
% 11.96/7.96 tff(252,plain,(
% 11.96/7.96 ![V_Y: $i, V_H: $i, V_X: $i] : ((~c_in(c_Message_Omsg_OMPair(V_X, V_Y), c_Message_Oparts(V_H), tc_Message_Omsg)) | c_in(V_X, c_Message_Oparts(V_H), tc_Message_Omsg))),
% 11.96/7.96 inference(skolemize,[status(sab)],[251])).
% 11.96/7.96 tff(253,plain,
% 11.96/7.96 (![V_Y: $i, V_H: $i, V_X: $i] : ((~c_in(c_Message_Omsg_OMPair(V_X, V_Y), c_Message_Oparts(V_H), tc_Message_Omsg)) | c_in(V_X, c_Message_Oparts(V_H), tc_Message_Omsg))),
% 11.96/7.96 inference(modus_ponens,[status(thm)],[252, 248])).
% 11.96/7.96 tff(254,plain,
% 11.96/7.96 (((~![V_Y: $i, V_H: $i, V_X: $i] : ((~c_in(c_Message_Omsg_OMPair(V_X, V_Y), 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_OMPair(v_X, c_Message_Omsg_OCrypt(c_Public_OshrK(v_Ba), c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NBa), c_Message_Omsg_OKey(v_Ka)))), c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy, v_evs4)), tc_Message_Omsg)) | c_in(v_X, c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy, v_evs4)), tc_Message_Omsg))) <=> ((~![V_Y: $i, V_H: $i, V_X: $i] : ((~c_in(c_Message_Omsg_OMPair(V_X, V_Y), 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_OMPair(v_X, c_Message_Omsg_OCrypt(c_Public_OshrK(v_Ba), c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NBa), c_Message_Omsg_OKey(v_Ka)))), c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy, v_evs4)), tc_Message_Omsg)) | c_in(v_X, c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy, v_evs4)), tc_Message_Omsg))),
% 11.96/7.96 inference(rewrite,[status(thm)],[])).
% 11.96/7.96 tff(255,plain,
% 11.96/7.96 ((~![V_Y: $i, V_H: $i, V_X: $i] : ((~c_in(c_Message_Omsg_OMPair(V_X, V_Y), 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_OMPair(v_X, c_Message_Omsg_OCrypt(c_Public_OshrK(v_Ba), c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NBa), c_Message_Omsg_OKey(v_Ka)))), c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy, v_evs4)), tc_Message_Omsg)) | c_in(v_X, c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy, v_evs4)), tc_Message_Omsg))),
% 11.96/7.96 inference(quant_inst,[status(thm)],[])).
% 11.96/7.96 tff(256,plain,
% 11.96/7.96 ((~![V_Y: $i, V_H: $i, V_X: $i] : ((~c_in(c_Message_Omsg_OMPair(V_X, V_Y), 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_OMPair(v_X, c_Message_Omsg_OCrypt(c_Public_OshrK(v_Ba), c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NBa), c_Message_Omsg_OKey(v_Ka)))), c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy, v_evs4)), tc_Message_Omsg)) | c_in(v_X, c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy, v_evs4)), tc_Message_Omsg)),
% 11.96/7.96 inference(modus_ponens,[status(thm)],[255, 254])).
% 11.96/7.96 tff(257,plain,
% 11.96/7.96 (c_in(v_X, c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy, v_evs4)), tc_Message_Omsg)),
% 11.96/7.96 inference(unit_resolution,[status(thm)],[256, 253, 246])).
% 11.96/7.96 tff(258,plain,
% 11.96/7.96 (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_OMPair(v_x, c_Message_Omsg_OCrypt(c_Public_OshrK(v_B), c_Message_Omsg_OMPair(v_NA, c_Message_Omsg_OMPair(v_NB, c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A), c_Message_Omsg_OAgent(v_B)))))))), c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy, v_evs4)), tc_Message_Omsg)),
% 11.96/7.96 inference(modus_ponens,[status(thm)],[257, 231])).
% 11.96/7.96 tff(259,plain,
% 11.96/7.96 (((~![V_Y: $i, V_H: $i, V_X: $i] : ((~c_in(c_Message_Omsg_OMPair(V_X, V_Y), c_Message_Oparts(V_H), tc_Message_Omsg)) | c_in(V_Y, c_Message_Oparts(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_OMPair(v_x, c_Message_Omsg_OCrypt(c_Public_OshrK(v_B), c_Message_Omsg_OMPair(v_NA, c_Message_Omsg_OMPair(v_NB, c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A), c_Message_Omsg_OAgent(v_B)))))))), c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy, v_evs4)), tc_Message_Omsg)) | c_in(c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_B), c_Message_Omsg_OMPair(v_x, c_Message_Omsg_OCrypt(c_Public_OshrK(v_B), c_Message_Omsg_OMPair(v_NA, c_Message_Omsg_OMPair(v_NB, c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A), c_Message_Omsg_OAgent(v_B))))))), c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy, v_evs4)), tc_Message_Omsg))) <=> ((~![V_Y: $i, V_H: $i, V_X: $i] : ((~c_in(c_Message_Omsg_OMPair(V_X, V_Y), c_Message_Oparts(V_H), tc_Message_Omsg)) | c_in(V_Y, c_Message_Oparts(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_OMPair(v_x, c_Message_Omsg_OCrypt(c_Public_OshrK(v_B), c_Message_Omsg_OMPair(v_NA, c_Message_Omsg_OMPair(v_NB, c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A), c_Message_Omsg_OAgent(v_B)))))))), c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy, v_evs4)), tc_Message_Omsg)) | c_in(c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_B), c_Message_Omsg_OMPair(v_x, c_Message_Omsg_OCrypt(c_Public_OshrK(v_B), c_Message_Omsg_OMPair(v_NA, c_Message_Omsg_OMPair(v_NB, c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A), c_Message_Omsg_OAgent(v_B))))))), c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy, v_evs4)), tc_Message_Omsg))),
% 11.96/7.96 inference(rewrite,[status(thm)],[])).
% 11.96/7.96 tff(260,plain,
% 11.96/7.96 ((~![V_Y: $i, V_H: $i, V_X: $i] : ((~c_in(c_Message_Omsg_OMPair(V_X, V_Y), c_Message_Oparts(V_H), tc_Message_Omsg)) | c_in(V_Y, c_Message_Oparts(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_OMPair(v_x, c_Message_Omsg_OCrypt(c_Public_OshrK(v_B), c_Message_Omsg_OMPair(v_NA, c_Message_Omsg_OMPair(v_NB, c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A), c_Message_Omsg_OAgent(v_B)))))))), c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy, v_evs4)), tc_Message_Omsg)) | c_in(c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_B), c_Message_Omsg_OMPair(v_x, c_Message_Omsg_OCrypt(c_Public_OshrK(v_B), c_Message_Omsg_OMPair(v_NA, c_Message_Omsg_OMPair(v_NB, c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A), c_Message_Omsg_OAgent(v_B))))))), c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy, v_evs4)), tc_Message_Omsg))),
% 11.96/7.96 inference(quant_inst,[status(thm)],[])).
% 11.96/7.96 tff(261,plain,
% 11.96/7.96 ((~![V_Y: $i, V_H: $i, V_X: $i] : ((~c_in(c_Message_Omsg_OMPair(V_X, V_Y), c_Message_Oparts(V_H), tc_Message_Omsg)) | c_in(V_Y, c_Message_Oparts(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_OMPair(v_x, c_Message_Omsg_OCrypt(c_Public_OshrK(v_B), c_Message_Omsg_OMPair(v_NA, c_Message_Omsg_OMPair(v_NB, c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A), c_Message_Omsg_OAgent(v_B)))))))), c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy, v_evs4)), tc_Message_Omsg)) | c_in(c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_B), c_Message_Omsg_OMPair(v_x, c_Message_Omsg_OCrypt(c_Public_OshrK(v_B), c_Message_Omsg_OMPair(v_NA, c_Message_Omsg_OMPair(v_NB, c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A), c_Message_Omsg_OAgent(v_B))))))), c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy, v_evs4)), tc_Message_Omsg)),
% 11.96/7.96 inference(modus_ponens,[status(thm)],[260, 259])).
% 11.96/7.96 tff(262,plain,
% 11.96/7.96 ((~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_OMPair(v_x, c_Message_Omsg_OCrypt(c_Public_OshrK(v_B), c_Message_Omsg_OMPair(v_NA, c_Message_Omsg_OMPair(v_NB, c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A), c_Message_Omsg_OAgent(v_B)))))))), c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy, v_evs4)), tc_Message_Omsg)) | c_in(c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_B), c_Message_Omsg_OMPair(v_x, c_Message_Omsg_OCrypt(c_Public_OshrK(v_B), c_Message_Omsg_OMPair(v_NA, c_Message_Omsg_OMPair(v_NB, c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A), c_Message_Omsg_OAgent(v_B))))))), c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy, v_evs4)), tc_Message_Omsg)),
% 11.96/7.96 inference(unit_resolution,[status(thm)],[261, 242])).
% 11.96/7.96 tff(263,plain,
% 11.96/7.96 (c_in(c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_B), c_Message_Omsg_OMPair(v_x, c_Message_Omsg_OCrypt(c_Public_OshrK(v_B), c_Message_Omsg_OMPair(v_NA, c_Message_Omsg_OMPair(v_NB, c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A), c_Message_Omsg_OAgent(v_B))))))), c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy, v_evs4)), tc_Message_Omsg)),
% 11.96/7.96 inference(unit_resolution,[status(thm)],[262, 258])).
% 11.96/7.96 tff(264,plain,
% 11.96/7.96 (c_in(c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Ba), c_Message_Omsg_OMPair(v_x, c_Message_Omsg_OCrypt(c_Public_OshrK(v_B), c_Message_Omsg_OMPair(v_NA, c_Message_Omsg_OMPair(v_NB, c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A), c_Message_Omsg_OAgent(v_B))))))), c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy, v_evs4)), tc_Message_Omsg)),
% 11.96/7.96 inference(modus_ponens,[status(thm)],[263, 223])).
% 11.96/7.96 tff(265,plain,
% 11.96/7.96 (((~![V_Y: $i, V_H: $i, V_X: $i] : ((~c_in(c_Message_Omsg_OMPair(V_X, V_Y), c_Message_Oparts(V_H), tc_Message_Omsg)) | c_in(V_Y, c_Message_Oparts(V_H), tc_Message_Omsg))) | ((~c_in(c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Ba), c_Message_Omsg_OMPair(v_x, c_Message_Omsg_OCrypt(c_Public_OshrK(v_B), c_Message_Omsg_OMPair(v_NA, c_Message_Omsg_OMPair(v_NB, c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A), c_Message_Omsg_OAgent(v_B))))))), c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy, v_evs4)), tc_Message_Omsg)) | c_in(c_Message_Omsg_OMPair(v_x, c_Message_Omsg_OCrypt(c_Public_OshrK(v_B), c_Message_Omsg_OMPair(v_NA, c_Message_Omsg_OMPair(v_NB, c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A), c_Message_Omsg_OAgent(v_B)))))), c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy, v_evs4)), tc_Message_Omsg))) <=> ((~![V_Y: $i, V_H: $i, V_X: $i] : ((~c_in(c_Message_Omsg_OMPair(V_X, V_Y), c_Message_Oparts(V_H), tc_Message_Omsg)) | c_in(V_Y, c_Message_Oparts(V_H), tc_Message_Omsg))) | (~c_in(c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Ba), c_Message_Omsg_OMPair(v_x, c_Message_Omsg_OCrypt(c_Public_OshrK(v_B), c_Message_Omsg_OMPair(v_NA, c_Message_Omsg_OMPair(v_NB, c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A), c_Message_Omsg_OAgent(v_B))))))), c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy, v_evs4)), tc_Message_Omsg)) | c_in(c_Message_Omsg_OMPair(v_x, c_Message_Omsg_OCrypt(c_Public_OshrK(v_B), c_Message_Omsg_OMPair(v_NA, c_Message_Omsg_OMPair(v_NB, c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A), c_Message_Omsg_OAgent(v_B)))))), c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy, v_evs4)), tc_Message_Omsg))),
% 11.96/7.97 inference(rewrite,[status(thm)],[])).
% 11.96/7.97 tff(266,plain,
% 11.96/7.97 ((~![V_Y: $i, V_H: $i, V_X: $i] : ((~c_in(c_Message_Omsg_OMPair(V_X, V_Y), c_Message_Oparts(V_H), tc_Message_Omsg)) | c_in(V_Y, c_Message_Oparts(V_H), tc_Message_Omsg))) | ((~c_in(c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Ba), c_Message_Omsg_OMPair(v_x, c_Message_Omsg_OCrypt(c_Public_OshrK(v_B), c_Message_Omsg_OMPair(v_NA, c_Message_Omsg_OMPair(v_NB, c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A), c_Message_Omsg_OAgent(v_B))))))), c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy, v_evs4)), tc_Message_Omsg)) | c_in(c_Message_Omsg_OMPair(v_x, c_Message_Omsg_OCrypt(c_Public_OshrK(v_B), c_Message_Omsg_OMPair(v_NA, c_Message_Omsg_OMPair(v_NB, c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A), c_Message_Omsg_OAgent(v_B)))))), c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy, v_evs4)), tc_Message_Omsg))),
% 11.96/7.97 inference(quant_inst,[status(thm)],[])).
% 11.96/7.97 tff(267,plain,
% 11.96/7.97 ((~![V_Y: $i, V_H: $i, V_X: $i] : ((~c_in(c_Message_Omsg_OMPair(V_X, V_Y), c_Message_Oparts(V_H), tc_Message_Omsg)) | c_in(V_Y, c_Message_Oparts(V_H), tc_Message_Omsg))) | (~c_in(c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Ba), c_Message_Omsg_OMPair(v_x, c_Message_Omsg_OCrypt(c_Public_OshrK(v_B), c_Message_Omsg_OMPair(v_NA, c_Message_Omsg_OMPair(v_NB, c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A), c_Message_Omsg_OAgent(v_B))))))), c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy, v_evs4)), tc_Message_Omsg)) | c_in(c_Message_Omsg_OMPair(v_x, c_Message_Omsg_OCrypt(c_Public_OshrK(v_B), c_Message_Omsg_OMPair(v_NA, c_Message_Omsg_OMPair(v_NB, c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A), c_Message_Omsg_OAgent(v_B)))))), c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy, v_evs4)), tc_Message_Omsg)),
% 11.96/7.97 inference(modus_ponens,[status(thm)],[266, 265])).
% 11.96/7.97 tff(268,plain,
% 11.96/7.97 ((~c_in(c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Ba), c_Message_Omsg_OMPair(v_x, c_Message_Omsg_OCrypt(c_Public_OshrK(v_B), c_Message_Omsg_OMPair(v_NA, c_Message_Omsg_OMPair(v_NB, c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A), c_Message_Omsg_OAgent(v_B))))))), c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy, v_evs4)), tc_Message_Omsg)) | c_in(c_Message_Omsg_OMPair(v_x, c_Message_Omsg_OCrypt(c_Public_OshrK(v_B), c_Message_Omsg_OMPair(v_NA, c_Message_Omsg_OMPair(v_NB, c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A), c_Message_Omsg_OAgent(v_B)))))), c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy, v_evs4)), tc_Message_Omsg)),
% 11.96/7.97 inference(unit_resolution,[status(thm)],[267, 242])).
% 11.96/7.97 tff(269,plain,
% 11.96/7.97 (c_in(c_Message_Omsg_OMPair(v_x, c_Message_Omsg_OCrypt(c_Public_OshrK(v_B), c_Message_Omsg_OMPair(v_NA, c_Message_Omsg_OMPair(v_NB, c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A), c_Message_Omsg_OAgent(v_B)))))), c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy, v_evs4)), tc_Message_Omsg)),
% 11.96/7.97 inference(unit_resolution,[status(thm)],[268, 264])).
% 11.96/7.97 tff(270,plain,
% 11.96/7.97 (((~![V_Y: $i, V_H: $i, V_X: $i] : ((~c_in(c_Message_Omsg_OMPair(V_X, V_Y), c_Message_Oparts(V_H), tc_Message_Omsg)) | c_in(V_Y, c_Message_Oparts(V_H), tc_Message_Omsg))) | ((~c_in(c_Message_Omsg_OMPair(v_x, c_Message_Omsg_OCrypt(c_Public_OshrK(v_B), c_Message_Omsg_OMPair(v_NA, c_Message_Omsg_OMPair(v_NB, c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A), c_Message_Omsg_OAgent(v_B)))))), c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy, v_evs4)), tc_Message_Omsg)) | c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_B), c_Message_Omsg_OMPair(v_NA, c_Message_Omsg_OMPair(v_NB, c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A), c_Message_Omsg_OAgent(v_B))))), c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy, v_evs4)), tc_Message_Omsg))) <=> ((~![V_Y: $i, V_H: $i, V_X: $i] : ((~c_in(c_Message_Omsg_OMPair(V_X, V_Y), c_Message_Oparts(V_H), tc_Message_Omsg)) | c_in(V_Y, c_Message_Oparts(V_H), tc_Message_Omsg))) | (~c_in(c_Message_Omsg_OMPair(v_x, c_Message_Omsg_OCrypt(c_Public_OshrK(v_B), c_Message_Omsg_OMPair(v_NA, c_Message_Omsg_OMPair(v_NB, c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A), c_Message_Omsg_OAgent(v_B)))))), c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy, v_evs4)), tc_Message_Omsg)) | c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_B), c_Message_Omsg_OMPair(v_NA, c_Message_Omsg_OMPair(v_NB, c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A), c_Message_Omsg_OAgent(v_B))))), c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy, v_evs4)), tc_Message_Omsg))),
% 11.96/7.97 inference(rewrite,[status(thm)],[])).
% 11.96/7.97 tff(271,plain,
% 11.96/7.97 ((~![V_Y: $i, V_H: $i, V_X: $i] : ((~c_in(c_Message_Omsg_OMPair(V_X, V_Y), c_Message_Oparts(V_H), tc_Message_Omsg)) | c_in(V_Y, c_Message_Oparts(V_H), tc_Message_Omsg))) | ((~c_in(c_Message_Omsg_OMPair(v_x, c_Message_Omsg_OCrypt(c_Public_OshrK(v_B), c_Message_Omsg_OMPair(v_NA, c_Message_Omsg_OMPair(v_NB, c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A), c_Message_Omsg_OAgent(v_B)))))), c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy, v_evs4)), tc_Message_Omsg)) | c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_B), c_Message_Omsg_OMPair(v_NA, c_Message_Omsg_OMPair(v_NB, c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A), c_Message_Omsg_OAgent(v_B))))), c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy, v_evs4)), tc_Message_Omsg))),
% 11.96/7.97 inference(quant_inst,[status(thm)],[])).
% 11.96/7.97 tff(272,plain,
% 11.96/7.97 ((~![V_Y: $i, V_H: $i, V_X: $i] : ((~c_in(c_Message_Omsg_OMPair(V_X, V_Y), c_Message_Oparts(V_H), tc_Message_Omsg)) | c_in(V_Y, c_Message_Oparts(V_H), tc_Message_Omsg))) | (~c_in(c_Message_Omsg_OMPair(v_x, c_Message_Omsg_OCrypt(c_Public_OshrK(v_B), c_Message_Omsg_OMPair(v_NA, c_Message_Omsg_OMPair(v_NB, c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A), c_Message_Omsg_OAgent(v_B)))))), c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy, v_evs4)), tc_Message_Omsg)) | c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_B), c_Message_Omsg_OMPair(v_NA, c_Message_Omsg_OMPair(v_NB, c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A), c_Message_Omsg_OAgent(v_B))))), c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy, v_evs4)), tc_Message_Omsg)),
% 11.96/7.97 inference(modus_ponens,[status(thm)],[271, 270])).
% 11.96/7.97 tff(273,plain,
% 11.96/7.97 (c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_B), c_Message_Omsg_OMPair(v_NA, c_Message_Omsg_OMPair(v_NB, c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A), c_Message_Omsg_OAgent(v_B))))), c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy, v_evs4)), tc_Message_Omsg)),
% 11.96/7.97 inference(unit_resolution,[status(thm)],[272, 242, 269])).
% 11.96/7.97 tff(274,plain,
% 11.96/7.97 (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(v_NB, c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A), c_Message_Omsg_OAgent(v_Ba))))), c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy, v_evs4)), tc_Message_Omsg)),
% 11.96/7.97 inference(modus_ponens,[status(thm)],[273, 220])).
% 11.96/7.97 tff(275,plain,
% 11.96/7.97 (c_in(v_B, c_Event_Obad, tc_Message_Oagent) <=> c_in(v_Ba, c_Event_Obad, tc_Message_Oagent)),
% 11.96/7.97 inference(monotonicity,[status(thm)],[189])).
% 11.96/7.97 tff(276,plain,
% 11.96/7.97 ((~c_in(v_B, c_Event_Obad, tc_Message_Oagent)) <=> (~c_in(v_Ba, c_Event_Obad, tc_Message_Oagent))),
% 11.96/7.97 inference(monotonicity,[status(thm)],[275])).
% 11.96/7.97 tff(277,plain,
% 11.96/7.97 (~c_in(v_Ba, c_Event_Obad, tc_Message_Oagent)),
% 11.96/7.97 inference(modus_ponens,[status(thm)],[19, 276])).
% 11.96/7.97 tff(278,plain,
% 11.96/7.97 (^[V_NA: $i, V_NB: $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(c_Event_Oevent_OSays(V_B, c_Message_Oagent_OServer, c_Message_Omsg_OMPair(V_NA, c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(V_A), c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(V_B), c_Message_Omsg_OMPair(v_sko__u__1(V_A, V_B, V_NA, V_NB, V_evs), c_Message_Omsg_OCrypt(c_Public_OshrK(V_B), c_Message_Omsg_OMPair(V_NA, c_Message_Omsg_OMPair(V_NB, c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(V_A), c_Message_Omsg_OAgent(V_B)))))))))), c_List_Oset(V_evs, tc_Event_Oevent), tc_Event_Oevent) | c_in(V_B, c_Event_Obad, tc_Message_Oagent) | (~c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(V_B), c_Message_Omsg_OMPair(V_NA, c_Message_Omsg_OMPair(V_NB, c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(V_A), c_Message_Omsg_OAgent(V_B))))), c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy, V_evs)), tc_Message_Omsg))) <=> ((~c_in(V_evs, c_OtwayRees_Ootway, tc_List_Olist(tc_Event_Oevent))) | c_in(c_Event_Oevent_OSays(V_B, c_Message_Oagent_OServer, c_Message_Omsg_OMPair(V_NA, c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(V_A), c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(V_B), c_Message_Omsg_OMPair(v_sko__u__1(V_A, V_B, V_NA, V_NB, V_evs), c_Message_Omsg_OCrypt(c_Public_OshrK(V_B), c_Message_Omsg_OMPair(V_NA, c_Message_Omsg_OMPair(V_NB, c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(V_A), c_Message_Omsg_OAgent(V_B)))))))))), c_List_Oset(V_evs, tc_Event_Oevent), tc_Event_Oevent) | c_in(V_B, c_Event_Obad, tc_Message_Oagent) | (~c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(V_B), c_Message_Omsg_OMPair(V_NA, c_Message_Omsg_OMPair(V_NB, c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(V_A), c_Message_Omsg_OAgent(V_B))))), c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy, V_evs)), tc_Message_Omsg))))),
% 11.96/7.97 inference(bind,[status(th)],[])).
% 11.96/7.97 tff(279,plain,
% 11.96/7.97 (![V_NA: $i, V_NB: $i, V_B: $i, V_A: $i, V_evs: $i] : ((~c_in(V_evs, c_OtwayRees_Ootway, tc_List_Olist(tc_Event_Oevent))) | c_in(c_Event_Oevent_OSays(V_B, c_Message_Oagent_OServer, c_Message_Omsg_OMPair(V_NA, c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(V_A), c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(V_B), c_Message_Omsg_OMPair(v_sko__u__1(V_A, V_B, V_NA, V_NB, V_evs), c_Message_Omsg_OCrypt(c_Public_OshrK(V_B), c_Message_Omsg_OMPair(V_NA, c_Message_Omsg_OMPair(V_NB, c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(V_A), c_Message_Omsg_OAgent(V_B)))))))))), c_List_Oset(V_evs, tc_Event_Oevent), tc_Event_Oevent) | c_in(V_B, c_Event_Obad, tc_Message_Oagent) | (~c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(V_B), c_Message_Omsg_OMPair(V_NA, c_Message_Omsg_OMPair(V_NB, c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(V_A), c_Message_Omsg_OAgent(V_B))))), c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy, V_evs)), tc_Message_Omsg))) <=> ![V_NA: $i, V_NB: $i, V_B: $i, V_A: $i, V_evs: $i] : ((~c_in(V_evs, c_OtwayRees_Ootway, tc_List_Olist(tc_Event_Oevent))) | c_in(c_Event_Oevent_OSays(V_B, c_Message_Oagent_OServer, c_Message_Omsg_OMPair(V_NA, c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(V_A), c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(V_B), c_Message_Omsg_OMPair(v_sko__u__1(V_A, V_B, V_NA, V_NB, V_evs), c_Message_Omsg_OCrypt(c_Public_OshrK(V_B), c_Message_Omsg_OMPair(V_NA, c_Message_Omsg_OMPair(V_NB, c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(V_A), c_Message_Omsg_OAgent(V_B)))))))))), c_List_Oset(V_evs, tc_Event_Oevent), tc_Event_Oevent) | c_in(V_B, c_Event_Obad, tc_Message_Oagent) | (~c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(V_B), c_Message_Omsg_OMPair(V_NA, c_Message_Omsg_OMPair(V_NB, c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(V_A), c_Message_Omsg_OAgent(V_B))))), c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy, V_evs)), tc_Message_Omsg)))),
% 11.96/7.97 inference(quant_intro,[status(thm)],[278])).
% 11.96/7.97 tff(280,plain,
% 11.96/7.97 (![V_NA: $i, V_NB: $i, V_B: $i, V_A: $i, V_evs: $i] : ((~c_in(V_evs, c_OtwayRees_Ootway, tc_List_Olist(tc_Event_Oevent))) | c_in(c_Event_Oevent_OSays(V_B, c_Message_Oagent_OServer, c_Message_Omsg_OMPair(V_NA, c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(V_A), c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(V_B), c_Message_Omsg_OMPair(v_sko__u__1(V_A, V_B, V_NA, V_NB, V_evs), c_Message_Omsg_OCrypt(c_Public_OshrK(V_B), c_Message_Omsg_OMPair(V_NA, c_Message_Omsg_OMPair(V_NB, c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(V_A), c_Message_Omsg_OAgent(V_B)))))))))), c_List_Oset(V_evs, tc_Event_Oevent), tc_Event_Oevent) | c_in(V_B, c_Event_Obad, tc_Message_Oagent) | (~c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(V_B), c_Message_Omsg_OMPair(V_NA, c_Message_Omsg_OMPair(V_NB, c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(V_A), c_Message_Omsg_OAgent(V_B))))), c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy, V_evs)), tc_Message_Omsg))) <=> ![V_NA: $i, V_NB: $i, V_B: $i, V_A: $i, V_evs: $i] : ((~c_in(V_evs, c_OtwayRees_Ootway, tc_List_Olist(tc_Event_Oevent))) | c_in(c_Event_Oevent_OSays(V_B, c_Message_Oagent_OServer, c_Message_Omsg_OMPair(V_NA, c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(V_A), c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(V_B), c_Message_Omsg_OMPair(v_sko__u__1(V_A, V_B, V_NA, V_NB, V_evs), c_Message_Omsg_OCrypt(c_Public_OshrK(V_B), c_Message_Omsg_OMPair(V_NA, c_Message_Omsg_OMPair(V_NB, c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(V_A), c_Message_Omsg_OAgent(V_B)))))))))), c_List_Oset(V_evs, tc_Event_Oevent), tc_Event_Oevent) | c_in(V_B, c_Event_Obad, tc_Message_Oagent) | (~c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(V_B), c_Message_Omsg_OMPair(V_NA, c_Message_Omsg_OMPair(V_NB, c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(V_A), c_Message_Omsg_OAgent(V_B))))), c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy, V_evs)), tc_Message_Omsg)))),
% 11.96/7.97 inference(rewrite,[status(thm)],[])).
% 11.96/7.97 tff(281,plain,
% 11.96/7.97 (^[V_NA: $i, V_NB: $i, V_B: $i, V_A: $i, V_evs: $i] : trans(monotonicity(rewrite((((~c_in(V_evs, c_OtwayRees_Ootway, tc_List_Olist(tc_Event_Oevent))) | (~c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(V_B), c_Message_Omsg_OMPair(V_NA, c_Message_Omsg_OMPair(V_NB, c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(V_A), c_Message_Omsg_OAgent(V_B))))), c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy, V_evs)), tc_Message_Omsg))) | c_in(V_B, c_Event_Obad, tc_Message_Oagent)) <=> ((~c_in(V_evs, c_OtwayRees_Ootway, tc_List_Olist(tc_Event_Oevent))) | c_in(V_B, c_Event_Obad, tc_Message_Oagent) | (~c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(V_B), c_Message_Omsg_OMPair(V_NA, c_Message_Omsg_OMPair(V_NB, c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(V_A), c_Message_Omsg_OAgent(V_B))))), c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy, V_evs)), tc_Message_Omsg)))), (((((~c_in(V_evs, c_OtwayRees_Ootway, tc_List_Olist(tc_Event_Oevent))) | (~c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(V_B), c_Message_Omsg_OMPair(V_NA, c_Message_Omsg_OMPair(V_NB, c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(V_A), c_Message_Omsg_OAgent(V_B))))), c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy, V_evs)), tc_Message_Omsg))) | c_in(V_B, c_Event_Obad, tc_Message_Oagent)) | c_in(c_Event_Oevent_OSays(V_B, c_Message_Oagent_OServer, c_Message_Omsg_OMPair(V_NA, c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(V_A), c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(V_B), c_Message_Omsg_OMPair(v_sko__u__1(V_A, V_B, V_NA, V_NB, V_evs), c_Message_Omsg_OCrypt(c_Public_OshrK(V_B), c_Message_Omsg_OMPair(V_NA, c_Message_Omsg_OMPair(V_NB, c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(V_A), c_Message_Omsg_OAgent(V_B)))))))))), c_List_Oset(V_evs, tc_Event_Oevent), tc_Event_Oevent)) <=> (((~c_in(V_evs, c_OtwayRees_Ootway, tc_List_Olist(tc_Event_Oevent))) | c_in(V_B, c_Event_Obad, tc_Message_Oagent) | (~c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(V_B), c_Message_Omsg_OMPair(V_NA, c_Message_Omsg_OMPair(V_NB, c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(V_A), c_Message_Omsg_OAgent(V_B))))), c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy, V_evs)), tc_Message_Omsg))) | c_in(c_Event_Oevent_OSays(V_B, c_Message_Oagent_OServer, c_Message_Omsg_OMPair(V_NA, c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(V_A), c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(V_B), c_Message_Omsg_OMPair(v_sko__u__1(V_A, V_B, V_NA, V_NB, V_evs), c_Message_Omsg_OCrypt(c_Public_OshrK(V_B), c_Message_Omsg_OMPair(V_NA, c_Message_Omsg_OMPair(V_NB, c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(V_A), c_Message_Omsg_OAgent(V_B)))))))))), c_List_Oset(V_evs, tc_Event_Oevent), tc_Event_Oevent)))), rewrite((((~c_in(V_evs, c_OtwayRees_Ootway, tc_List_Olist(tc_Event_Oevent))) | c_in(V_B, c_Event_Obad, tc_Message_Oagent) | (~c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(V_B), c_Message_Omsg_OMPair(V_NA, c_Message_Omsg_OMPair(V_NB, c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(V_A), c_Message_Omsg_OAgent(V_B))))), c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy, V_evs)), tc_Message_Omsg))) | c_in(c_Event_Oevent_OSays(V_B, c_Message_Oagent_OServer, c_Message_Omsg_OMPair(V_NA, c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(V_A), c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(V_B), c_Message_Omsg_OMPair(v_sko__u__1(V_A, V_B, V_NA, V_NB, V_evs), c_Message_Omsg_OCrypt(c_Public_OshrK(V_B), c_Message_Omsg_OMPair(V_NA, c_Message_Omsg_OMPair(V_NB, c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(V_A), c_Message_Omsg_OAgent(V_B)))))))))), c_List_Oset(V_evs, tc_Event_Oevent), tc_Event_Oevent)) <=> ((~c_in(V_evs, c_OtwayRees_Ootway, tc_List_Olist(tc_Event_Oevent))) | c_in(c_Event_Oevent_OSays(V_B, c_Message_Oagent_OServer, c_Message_Omsg_OMPair(V_NA, c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(V_A), c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(V_B), c_Message_Omsg_OMPair(v_sko__u__1(V_A, V_B, V_NA, V_NB, V_evs), c_Message_Omsg_OCrypt(c_Public_OshrK(V_B), c_Message_Omsg_OMPair(V_NA, c_Message_Omsg_OMPair(V_NB, c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(V_A), c_Message_Omsg_OAgent(V_B)))))))))), c_List_Oset(V_evs, tc_Event_Oevent), tc_Event_Oevent) | c_in(V_B, c_Event_Obad, tc_Message_Oagent) | (~c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(V_B), c_Message_Omsg_OMPair(V_NA, c_Message_Omsg_OMPair(V_NB, c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(V_A), c_Message_Omsg_OAgent(V_B))))), c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy, V_evs)), tc_Message_Omsg)))), (((((~c_in(V_evs, c_OtwayRees_Ootway, tc_List_Olist(tc_Event_Oevent))) | (~c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(V_B), c_Message_Omsg_OMPair(V_NA, c_Message_Omsg_OMPair(V_NB, c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(V_A), c_Message_Omsg_OAgent(V_B))))), c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy, V_evs)), tc_Message_Omsg))) | c_in(V_B, c_Event_Obad, tc_Message_Oagent)) | c_in(c_Event_Oevent_OSays(V_B, c_Message_Oagent_OServer, c_Message_Omsg_OMPair(V_NA, c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(V_A), c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(V_B), c_Message_Omsg_OMPair(v_sko__u__1(V_A, V_B, V_NA, V_NB, V_evs), c_Message_Omsg_OCrypt(c_Public_OshrK(V_B), c_Message_Omsg_OMPair(V_NA, c_Message_Omsg_OMPair(V_NB, c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(V_A), c_Message_Omsg_OAgent(V_B)))))))))), c_List_Oset(V_evs, tc_Event_Oevent), tc_Event_Oevent)) <=> ((~c_in(V_evs, c_OtwayRees_Ootway, tc_List_Olist(tc_Event_Oevent))) | c_in(c_Event_Oevent_OSays(V_B, c_Message_Oagent_OServer, c_Message_Omsg_OMPair(V_NA, c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(V_A), c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(V_B), c_Message_Omsg_OMPair(v_sko__u__1(V_A, V_B, V_NA, V_NB, V_evs), c_Message_Omsg_OCrypt(c_Public_OshrK(V_B), c_Message_Omsg_OMPair(V_NA, c_Message_Omsg_OMPair(V_NB, c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(V_A), c_Message_Omsg_OAgent(V_B)))))))))), c_List_Oset(V_evs, tc_Event_Oevent), tc_Event_Oevent) | c_in(V_B, c_Event_Obad, tc_Message_Oagent) | (~c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(V_B), c_Message_Omsg_OMPair(V_NA, c_Message_Omsg_OMPair(V_NB, c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(V_A), c_Message_Omsg_OAgent(V_B))))), c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy, V_evs)), tc_Message_Omsg)))))),
% 11.96/7.97 inference(bind,[status(th)],[])).
% 11.96/7.97 tff(282,plain,
% 11.96/7.97 (![V_NA: $i, V_NB: $i, V_B: $i, V_A: $i, V_evs: $i] : ((((~c_in(V_evs, c_OtwayRees_Ootway, tc_List_Olist(tc_Event_Oevent))) | (~c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(V_B), c_Message_Omsg_OMPair(V_NA, c_Message_Omsg_OMPair(V_NB, c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(V_A), c_Message_Omsg_OAgent(V_B))))), c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy, V_evs)), tc_Message_Omsg))) | c_in(V_B, c_Event_Obad, tc_Message_Oagent)) | c_in(c_Event_Oevent_OSays(V_B, c_Message_Oagent_OServer, c_Message_Omsg_OMPair(V_NA, c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(V_A), c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(V_B), c_Message_Omsg_OMPair(v_sko__u__1(V_A, V_B, V_NA, V_NB, V_evs), c_Message_Omsg_OCrypt(c_Public_OshrK(V_B), c_Message_Omsg_OMPair(V_NA, c_Message_Omsg_OMPair(V_NB, c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(V_A), c_Message_Omsg_OAgent(V_B)))))))))), c_List_Oset(V_evs, tc_Event_Oevent), tc_Event_Oevent)) <=> ![V_NA: $i, V_NB: $i, V_B: $i, V_A: $i, V_evs: $i] : ((~c_in(V_evs, c_OtwayRees_Ootway, tc_List_Olist(tc_Event_Oevent))) | c_in(c_Event_Oevent_OSays(V_B, c_Message_Oagent_OServer, c_Message_Omsg_OMPair(V_NA, c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(V_A), c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(V_B), c_Message_Omsg_OMPair(v_sko__u__1(V_A, V_B, V_NA, V_NB, V_evs), c_Message_Omsg_OCrypt(c_Public_OshrK(V_B), c_Message_Omsg_OMPair(V_NA, c_Message_Omsg_OMPair(V_NB, c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(V_A), c_Message_Omsg_OAgent(V_B)))))))))), c_List_Oset(V_evs, tc_Event_Oevent), tc_Event_Oevent) | c_in(V_B, c_Event_Obad, tc_Message_Oagent) | (~c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(V_B), c_Message_Omsg_OMPair(V_NA, c_Message_Omsg_OMPair(V_NB, c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(V_A), c_Message_Omsg_OAgent(V_B))))), c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy, V_evs)), tc_Message_Omsg)))),
% 11.96/7.97 inference(quant_intro,[status(thm)],[281])).
% 11.96/7.97 tff(283,axiom,(![V_NA: $i, V_NB: $i, V_B: $i, V_A: $i, V_evs: $i] : ((((~c_in(V_evs, c_OtwayRees_Ootway, tc_List_Olist(tc_Event_Oevent))) | (~c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(V_B), c_Message_Omsg_OMPair(V_NA, c_Message_Omsg_OMPair(V_NB, c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(V_A), c_Message_Omsg_OAgent(V_B))))), c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy, V_evs)), tc_Message_Omsg))) | c_in(V_B, c_Event_Obad, tc_Message_Oagent)) | c_in(c_Event_Oevent_OSays(V_B, c_Message_Oagent_OServer, c_Message_Omsg_OMPair(V_NA, c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(V_A), c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(V_B), c_Message_Omsg_OMPair(v_sko__u__1(V_A, V_B, V_NA, V_NB, V_evs), c_Message_Omsg_OCrypt(c_Public_OshrK(V_B), c_Message_Omsg_OMPair(V_NA, c_Message_Omsg_OMPair(V_NB, c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(V_A), c_Message_Omsg_OAgent(V_B)))))))))), c_List_Oset(V_evs, tc_Event_Oevent), tc_Event_Oevent))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','cls_OtwayRees_OCrypt__imp__OR2__dest_0')).
% 11.96/7.97 tff(284,plain,
% 11.96/7.97 (![V_NA: $i, V_NB: $i, V_B: $i, V_A: $i, V_evs: $i] : ((~c_in(V_evs, c_OtwayRees_Ootway, tc_List_Olist(tc_Event_Oevent))) | c_in(c_Event_Oevent_OSays(V_B, c_Message_Oagent_OServer, c_Message_Omsg_OMPair(V_NA, c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(V_A), c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(V_B), c_Message_Omsg_OMPair(v_sko__u__1(V_A, V_B, V_NA, V_NB, V_evs), c_Message_Omsg_OCrypt(c_Public_OshrK(V_B), c_Message_Omsg_OMPair(V_NA, c_Message_Omsg_OMPair(V_NB, c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(V_A), c_Message_Omsg_OAgent(V_B)))))))))), c_List_Oset(V_evs, tc_Event_Oevent), tc_Event_Oevent) | c_in(V_B, c_Event_Obad, tc_Message_Oagent) | (~c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(V_B), c_Message_Omsg_OMPair(V_NA, c_Message_Omsg_OMPair(V_NB, c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(V_A), c_Message_Omsg_OAgent(V_B))))), c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy, V_evs)), tc_Message_Omsg)))),
% 11.96/7.97 inference(modus_ponens,[status(thm)],[283, 282])).
% 11.96/7.97 tff(285,plain,
% 11.96/7.97 (![V_NA: $i, V_NB: $i, V_B: $i, V_A: $i, V_evs: $i] : ((~c_in(V_evs, c_OtwayRees_Ootway, tc_List_Olist(tc_Event_Oevent))) | c_in(c_Event_Oevent_OSays(V_B, c_Message_Oagent_OServer, c_Message_Omsg_OMPair(V_NA, c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(V_A), c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(V_B), c_Message_Omsg_OMPair(v_sko__u__1(V_A, V_B, V_NA, V_NB, V_evs), c_Message_Omsg_OCrypt(c_Public_OshrK(V_B), c_Message_Omsg_OMPair(V_NA, c_Message_Omsg_OMPair(V_NB, c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(V_A), c_Message_Omsg_OAgent(V_B)))))))))), c_List_Oset(V_evs, tc_Event_Oevent), tc_Event_Oevent) | c_in(V_B, c_Event_Obad, tc_Message_Oagent) | (~c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(V_B), c_Message_Omsg_OMPair(V_NA, c_Message_Omsg_OMPair(V_NB, c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(V_A), c_Message_Omsg_OAgent(V_B))))), c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy, V_evs)), tc_Message_Omsg)))),
% 11.96/7.97 inference(modus_ponens,[status(thm)],[284, 280])).
% 11.96/7.97 tff(286,plain,(
% 11.96/7.97 ![V_NA: $i, V_NB: $i, V_B: $i, V_A: $i, V_evs: $i] : ((~c_in(V_evs, c_OtwayRees_Ootway, tc_List_Olist(tc_Event_Oevent))) | c_in(c_Event_Oevent_OSays(V_B, c_Message_Oagent_OServer, c_Message_Omsg_OMPair(V_NA, c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(V_A), c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(V_B), c_Message_Omsg_OMPair(v_sko__u__1(V_A, V_B, V_NA, V_NB, V_evs), c_Message_Omsg_OCrypt(c_Public_OshrK(V_B), c_Message_Omsg_OMPair(V_NA, c_Message_Omsg_OMPair(V_NB, c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(V_A), c_Message_Omsg_OAgent(V_B)))))))))), c_List_Oset(V_evs, tc_Event_Oevent), tc_Event_Oevent) | c_in(V_B, c_Event_Obad, tc_Message_Oagent) | (~c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(V_B), c_Message_Omsg_OMPair(V_NA, c_Message_Omsg_OMPair(V_NB, c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(V_A), c_Message_Omsg_OAgent(V_B))))), c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy, V_evs)), tc_Message_Omsg)))),
% 11.96/7.97 inference(skolemize,[status(sab)],[285])).
% 11.96/7.97 tff(287,plain,
% 11.96/7.97 (![V_NA: $i, V_NB: $i, V_B: $i, V_A: $i, V_evs: $i] : ((~c_in(V_evs, c_OtwayRees_Ootway, tc_List_Olist(tc_Event_Oevent))) | c_in(c_Event_Oevent_OSays(V_B, c_Message_Oagent_OServer, c_Message_Omsg_OMPair(V_NA, c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(V_A), c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(V_B), c_Message_Omsg_OMPair(v_sko__u__1(V_A, V_B, V_NA, V_NB, V_evs), c_Message_Omsg_OCrypt(c_Public_OshrK(V_B), c_Message_Omsg_OMPair(V_NA, c_Message_Omsg_OMPair(V_NB, c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(V_A), c_Message_Omsg_OAgent(V_B)))))))))), c_List_Oset(V_evs, tc_Event_Oevent), tc_Event_Oevent) | c_in(V_B, c_Event_Obad, tc_Message_Oagent) | (~c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(V_B), c_Message_Omsg_OMPair(V_NA, c_Message_Omsg_OMPair(V_NB, c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(V_A), c_Message_Omsg_OAgent(V_B))))), c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy, V_evs)), tc_Message_Omsg)))),
% 11.96/7.97 inference(modus_ponens,[status(thm)],[286, 279])).
% 11.96/7.97 tff(288,plain,
% 11.96/7.97 (((~![V_NA: $i, V_NB: $i, V_B: $i, V_A: $i, V_evs: $i] : ((~c_in(V_evs, c_OtwayRees_Ootway, tc_List_Olist(tc_Event_Oevent))) | c_in(c_Event_Oevent_OSays(V_B, c_Message_Oagent_OServer, c_Message_Omsg_OMPair(V_NA, c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(V_A), c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(V_B), c_Message_Omsg_OMPair(v_sko__u__1(V_A, V_B, V_NA, V_NB, V_evs), c_Message_Omsg_OCrypt(c_Public_OshrK(V_B), c_Message_Omsg_OMPair(V_NA, c_Message_Omsg_OMPair(V_NB, c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(V_A), c_Message_Omsg_OAgent(V_B)))))))))), c_List_Oset(V_evs, tc_Event_Oevent), tc_Event_Oevent) | c_in(V_B, c_Event_Obad, tc_Message_Oagent) | (~c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(V_B), c_Message_Omsg_OMPair(V_NA, c_Message_Omsg_OMPair(V_NB, c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(V_A), c_Message_Omsg_OAgent(V_B))))), c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy, V_evs)), tc_Message_Omsg)))) | ((~c_in(v_evs4, 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_NAa), c_Message_Omsg_OMPair(v_NB, c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A), c_Message_Omsg_OAgent(v_Ba))))), c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy, v_evs4)), tc_Message_Omsg)) | c_in(c_Event_Oevent_OSays(v_Ba, c_Message_Oagent_OServer, c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NAa), c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A), c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Ba), c_Message_Omsg_OMPair(v_sko__u__1(v_A, v_Ba, c_Message_Omsg_ONonce(v_NAa), v_NB, v_evs4), c_Message_Omsg_OCrypt(c_Public_OshrK(v_Ba), c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NAa), c_Message_Omsg_OMPair(v_NB, c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A), c_Message_Omsg_OAgent(v_Ba)))))))))), c_List_Oset(v_evs4, tc_Event_Oevent), tc_Event_Oevent))) <=> ((~![V_NA: $i, V_NB: $i, V_B: $i, V_A: $i, V_evs: $i] : ((~c_in(V_evs, c_OtwayRees_Ootway, tc_List_Olist(tc_Event_Oevent))) | c_in(c_Event_Oevent_OSays(V_B, c_Message_Oagent_OServer, c_Message_Omsg_OMPair(V_NA, c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(V_A), c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(V_B), c_Message_Omsg_OMPair(v_sko__u__1(V_A, V_B, V_NA, V_NB, V_evs), c_Message_Omsg_OCrypt(c_Public_OshrK(V_B), c_Message_Omsg_OMPair(V_NA, c_Message_Omsg_OMPair(V_NB, c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(V_A), c_Message_Omsg_OAgent(V_B)))))))))), c_List_Oset(V_evs, tc_Event_Oevent), tc_Event_Oevent) | c_in(V_B, c_Event_Obad, tc_Message_Oagent) | (~c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(V_B), c_Message_Omsg_OMPair(V_NA, c_Message_Omsg_OMPair(V_NB, c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(V_A), c_Message_Omsg_OAgent(V_B))))), c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy, V_evs)), tc_Message_Omsg)))) | (~c_in(v_evs4, 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_NAa), c_Message_Omsg_OMPair(v_NB, c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A), c_Message_Omsg_OAgent(v_Ba))))), c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy, v_evs4)), tc_Message_Omsg)) | c_in(c_Event_Oevent_OSays(v_Ba, c_Message_Oagent_OServer, c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NAa), c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A), c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Ba), c_Message_Omsg_OMPair(v_sko__u__1(v_A, v_Ba, c_Message_Omsg_ONonce(v_NAa), v_NB, v_evs4), c_Message_Omsg_OCrypt(c_Public_OshrK(v_Ba), c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NAa), c_Message_Omsg_OMPair(v_NB, c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A), c_Message_Omsg_OAgent(v_Ba)))))))))), c_List_Oset(v_evs4, tc_Event_Oevent), tc_Event_Oevent))),
% 11.96/7.97 inference(rewrite,[status(thm)],[])).
% 11.96/7.97 tff(289,plain,
% 11.96/7.97 (((~c_in(v_evs4, c_OtwayRees_Ootway, tc_List_Olist(tc_Event_Oevent))) | c_in(c_Event_Oevent_OSays(v_Ba, c_Message_Oagent_OServer, c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NAa), c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A), c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Ba), c_Message_Omsg_OMPair(v_sko__u__1(v_A, v_Ba, c_Message_Omsg_ONonce(v_NAa), v_NB, v_evs4), c_Message_Omsg_OCrypt(c_Public_OshrK(v_Ba), c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NAa), c_Message_Omsg_OMPair(v_NB, c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A), c_Message_Omsg_OAgent(v_Ba)))))))))), c_List_Oset(v_evs4, tc_Event_Oevent), tc_Event_Oevent) | c_in(v_Ba, c_Event_Obad, tc_Message_Oagent) | (~c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_Ba), c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NAa), c_Message_Omsg_OMPair(v_NB, c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A), c_Message_Omsg_OAgent(v_Ba))))), c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy, v_evs4)), tc_Message_Omsg))) <=> ((~c_in(v_evs4, 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_NAa), c_Message_Omsg_OMPair(v_NB, c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A), c_Message_Omsg_OAgent(v_Ba))))), c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy, v_evs4)), tc_Message_Omsg)) | c_in(c_Event_Oevent_OSays(v_Ba, c_Message_Oagent_OServer, c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NAa), c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A), c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Ba), c_Message_Omsg_OMPair(v_sko__u__1(v_A, v_Ba, c_Message_Omsg_ONonce(v_NAa), v_NB, v_evs4), c_Message_Omsg_OCrypt(c_Public_OshrK(v_Ba), c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NAa), c_Message_Omsg_OMPair(v_NB, c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A), c_Message_Omsg_OAgent(v_Ba)))))))))), c_List_Oset(v_evs4, tc_Event_Oevent), tc_Event_Oevent))),
% 11.96/7.97 inference(rewrite,[status(thm)],[])).
% 11.96/7.97 tff(290,plain,
% 11.96/7.97 (((~![V_NA: $i, V_NB: $i, V_B: $i, V_A: $i, V_evs: $i] : ((~c_in(V_evs, c_OtwayRees_Ootway, tc_List_Olist(tc_Event_Oevent))) | c_in(c_Event_Oevent_OSays(V_B, c_Message_Oagent_OServer, c_Message_Omsg_OMPair(V_NA, c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(V_A), c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(V_B), c_Message_Omsg_OMPair(v_sko__u__1(V_A, V_B, V_NA, V_NB, V_evs), c_Message_Omsg_OCrypt(c_Public_OshrK(V_B), c_Message_Omsg_OMPair(V_NA, c_Message_Omsg_OMPair(V_NB, c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(V_A), c_Message_Omsg_OAgent(V_B)))))))))), c_List_Oset(V_evs, tc_Event_Oevent), tc_Event_Oevent) | c_in(V_B, c_Event_Obad, tc_Message_Oagent) | (~c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(V_B), c_Message_Omsg_OMPair(V_NA, c_Message_Omsg_OMPair(V_NB, c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(V_A), c_Message_Omsg_OAgent(V_B))))), c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy, V_evs)), tc_Message_Omsg)))) | ((~c_in(v_evs4, c_OtwayRees_Ootway, tc_List_Olist(tc_Event_Oevent))) | c_in(c_Event_Oevent_OSays(v_Ba, c_Message_Oagent_OServer, c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NAa), c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A), c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Ba), c_Message_Omsg_OMPair(v_sko__u__1(v_A, v_Ba, c_Message_Omsg_ONonce(v_NAa), v_NB, v_evs4), c_Message_Omsg_OCrypt(c_Public_OshrK(v_Ba), c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NAa), c_Message_Omsg_OMPair(v_NB, c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A), c_Message_Omsg_OAgent(v_Ba)))))))))), c_List_Oset(v_evs4, tc_Event_Oevent), tc_Event_Oevent) | c_in(v_Ba, c_Event_Obad, tc_Message_Oagent) | (~c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_Ba), c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NAa), c_Message_Omsg_OMPair(v_NB, c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A), c_Message_Omsg_OAgent(v_Ba))))), c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy, v_evs4)), tc_Message_Omsg)))) <=> ((~![V_NA: $i, V_NB: $i, V_B: $i, V_A: $i, V_evs: $i] : ((~c_in(V_evs, c_OtwayRees_Ootway, tc_List_Olist(tc_Event_Oevent))) | c_in(c_Event_Oevent_OSays(V_B, c_Message_Oagent_OServer, c_Message_Omsg_OMPair(V_NA, c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(V_A), c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(V_B), c_Message_Omsg_OMPair(v_sko__u__1(V_A, V_B, V_NA, V_NB, V_evs), c_Message_Omsg_OCrypt(c_Public_OshrK(V_B), c_Message_Omsg_OMPair(V_NA, c_Message_Omsg_OMPair(V_NB, c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(V_A), c_Message_Omsg_OAgent(V_B)))))))))), c_List_Oset(V_evs, tc_Event_Oevent), tc_Event_Oevent) | c_in(V_B, c_Event_Obad, tc_Message_Oagent) | (~c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(V_B), c_Message_Omsg_OMPair(V_NA, c_Message_Omsg_OMPair(V_NB, c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(V_A), c_Message_Omsg_OAgent(V_B))))), c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy, V_evs)), tc_Message_Omsg)))) | ((~c_in(v_evs4, 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_NAa), c_Message_Omsg_OMPair(v_NB, c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A), c_Message_Omsg_OAgent(v_Ba))))), c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy, v_evs4)), tc_Message_Omsg)) | c_in(c_Event_Oevent_OSays(v_Ba, c_Message_Oagent_OServer, c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NAa), c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A), c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Ba), c_Message_Omsg_OMPair(v_sko__u__1(v_A, v_Ba, c_Message_Omsg_ONonce(v_NAa), v_NB, v_evs4), c_Message_Omsg_OCrypt(c_Public_OshrK(v_Ba), c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NAa), c_Message_Omsg_OMPair(v_NB, c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A), c_Message_Omsg_OAgent(v_Ba)))))))))), c_List_Oset(v_evs4, tc_Event_Oevent), tc_Event_Oevent)))),
% 11.96/7.97 inference(monotonicity,[status(thm)],[289])).
% 11.96/7.97 tff(291,plain,
% 11.96/7.97 (((~![V_NA: $i, V_NB: $i, V_B: $i, V_A: $i, V_evs: $i] : ((~c_in(V_evs, c_OtwayRees_Ootway, tc_List_Olist(tc_Event_Oevent))) | c_in(c_Event_Oevent_OSays(V_B, c_Message_Oagent_OServer, c_Message_Omsg_OMPair(V_NA, c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(V_A), c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(V_B), c_Message_Omsg_OMPair(v_sko__u__1(V_A, V_B, V_NA, V_NB, V_evs), c_Message_Omsg_OCrypt(c_Public_OshrK(V_B), c_Message_Omsg_OMPair(V_NA, c_Message_Omsg_OMPair(V_NB, c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(V_A), c_Message_Omsg_OAgent(V_B)))))))))), c_List_Oset(V_evs, tc_Event_Oevent), tc_Event_Oevent) | c_in(V_B, c_Event_Obad, tc_Message_Oagent) | (~c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(V_B), c_Message_Omsg_OMPair(V_NA, c_Message_Omsg_OMPair(V_NB, c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(V_A), c_Message_Omsg_OAgent(V_B))))), c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy, V_evs)), tc_Message_Omsg)))) | ((~c_in(v_evs4, c_OtwayRees_Ootway, tc_List_Olist(tc_Event_Oevent))) | c_in(c_Event_Oevent_OSays(v_Ba, c_Message_Oagent_OServer, c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NAa), c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A), c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Ba), c_Message_Omsg_OMPair(v_sko__u__1(v_A, v_Ba, c_Message_Omsg_ONonce(v_NAa), v_NB, v_evs4), c_Message_Omsg_OCrypt(c_Public_OshrK(v_Ba), c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NAa), c_Message_Omsg_OMPair(v_NB, c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A), c_Message_Omsg_OAgent(v_Ba)))))))))), c_List_Oset(v_evs4, tc_Event_Oevent), tc_Event_Oevent) | c_in(v_Ba, c_Event_Obad, tc_Message_Oagent) | (~c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_Ba), c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NAa), c_Message_Omsg_OMPair(v_NB, c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A), c_Message_Omsg_OAgent(v_Ba))))), c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy, v_evs4)), tc_Message_Omsg)))) <=> ((~![V_NA: $i, V_NB: $i, V_B: $i, V_A: $i, V_evs: $i] : ((~c_in(V_evs, c_OtwayRees_Ootway, tc_List_Olist(tc_Event_Oevent))) | c_in(c_Event_Oevent_OSays(V_B, c_Message_Oagent_OServer, c_Message_Omsg_OMPair(V_NA, c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(V_A), c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(V_B), c_Message_Omsg_OMPair(v_sko__u__1(V_A, V_B, V_NA, V_NB, V_evs), c_Message_Omsg_OCrypt(c_Public_OshrK(V_B), c_Message_Omsg_OMPair(V_NA, c_Message_Omsg_OMPair(V_NB, c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(V_A), c_Message_Omsg_OAgent(V_B)))))))))), c_List_Oset(V_evs, tc_Event_Oevent), tc_Event_Oevent) | c_in(V_B, c_Event_Obad, tc_Message_Oagent) | (~c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(V_B), c_Message_Omsg_OMPair(V_NA, c_Message_Omsg_OMPair(V_NB, c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(V_A), c_Message_Omsg_OAgent(V_B))))), c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy, V_evs)), tc_Message_Omsg)))) | (~c_in(v_evs4, 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_NAa), c_Message_Omsg_OMPair(v_NB, c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A), c_Message_Omsg_OAgent(v_Ba))))), c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy, v_evs4)), tc_Message_Omsg)) | c_in(c_Event_Oevent_OSays(v_Ba, c_Message_Oagent_OServer, c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NAa), c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A), c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Ba), c_Message_Omsg_OMPair(v_sko__u__1(v_A, v_Ba, c_Message_Omsg_ONonce(v_NAa), v_NB, v_evs4), c_Message_Omsg_OCrypt(c_Public_OshrK(v_Ba), c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NAa), c_Message_Omsg_OMPair(v_NB, c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A), c_Message_Omsg_OAgent(v_Ba)))))))))), c_List_Oset(v_evs4, tc_Event_Oevent), tc_Event_Oevent))),
% 11.96/7.97 inference(transitivity,[status(thm)],[290, 288])).
% 11.96/7.97 tff(292,plain,
% 11.96/7.97 ((~![V_NA: $i, V_NB: $i, V_B: $i, V_A: $i, V_evs: $i] : ((~c_in(V_evs, c_OtwayRees_Ootway, tc_List_Olist(tc_Event_Oevent))) | c_in(c_Event_Oevent_OSays(V_B, c_Message_Oagent_OServer, c_Message_Omsg_OMPair(V_NA, c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(V_A), c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(V_B), c_Message_Omsg_OMPair(v_sko__u__1(V_A, V_B, V_NA, V_NB, V_evs), c_Message_Omsg_OCrypt(c_Public_OshrK(V_B), c_Message_Omsg_OMPair(V_NA, c_Message_Omsg_OMPair(V_NB, c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(V_A), c_Message_Omsg_OAgent(V_B)))))))))), c_List_Oset(V_evs, tc_Event_Oevent), tc_Event_Oevent) | c_in(V_B, c_Event_Obad, tc_Message_Oagent) | (~c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(V_B), c_Message_Omsg_OMPair(V_NA, c_Message_Omsg_OMPair(V_NB, c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(V_A), c_Message_Omsg_OAgent(V_B))))), c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy, V_evs)), tc_Message_Omsg)))) | ((~c_in(v_evs4, c_OtwayRees_Ootway, tc_List_Olist(tc_Event_Oevent))) | c_in(c_Event_Oevent_OSays(v_Ba, c_Message_Oagent_OServer, c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NAa), c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A), c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Ba), c_Message_Omsg_OMPair(v_sko__u__1(v_A, v_Ba, c_Message_Omsg_ONonce(v_NAa), v_NB, v_evs4), c_Message_Omsg_OCrypt(c_Public_OshrK(v_Ba), c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NAa), c_Message_Omsg_OMPair(v_NB, c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A), c_Message_Omsg_OAgent(v_Ba)))))))))), c_List_Oset(v_evs4, tc_Event_Oevent), tc_Event_Oevent) | c_in(v_Ba, c_Event_Obad, tc_Message_Oagent) | (~c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_Ba), c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NAa), c_Message_Omsg_OMPair(v_NB, c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A), c_Message_Omsg_OAgent(v_Ba))))), c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy, v_evs4)), tc_Message_Omsg)))),
% 11.96/7.97 inference(quant_inst,[status(thm)],[])).
% 11.96/7.97 tff(293,plain,
% 11.96/7.97 ((~![V_NA: $i, V_NB: $i, V_B: $i, V_A: $i, V_evs: $i] : ((~c_in(V_evs, c_OtwayRees_Ootway, tc_List_Olist(tc_Event_Oevent))) | c_in(c_Event_Oevent_OSays(V_B, c_Message_Oagent_OServer, c_Message_Omsg_OMPair(V_NA, c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(V_A), c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(V_B), c_Message_Omsg_OMPair(v_sko__u__1(V_A, V_B, V_NA, V_NB, V_evs), c_Message_Omsg_OCrypt(c_Public_OshrK(V_B), c_Message_Omsg_OMPair(V_NA, c_Message_Omsg_OMPair(V_NB, c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(V_A), c_Message_Omsg_OAgent(V_B)))))))))), c_List_Oset(V_evs, tc_Event_Oevent), tc_Event_Oevent) | c_in(V_B, c_Event_Obad, tc_Message_Oagent) | (~c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(V_B), c_Message_Omsg_OMPair(V_NA, c_Message_Omsg_OMPair(V_NB, c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(V_A), c_Message_Omsg_OAgent(V_B))))), c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy, V_evs)), tc_Message_Omsg)))) | (~c_in(v_evs4, 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_NAa), c_Message_Omsg_OMPair(v_NB, c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A), c_Message_Omsg_OAgent(v_Ba))))), c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy, v_evs4)), tc_Message_Omsg)) | c_in(c_Event_Oevent_OSays(v_Ba, c_Message_Oagent_OServer, c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NAa), c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A), c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Ba), c_Message_Omsg_OMPair(v_sko__u__1(v_A, v_Ba, c_Message_Omsg_ONonce(v_NAa), v_NB, v_evs4), c_Message_Omsg_OCrypt(c_Public_OshrK(v_Ba), c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NAa), c_Message_Omsg_OMPair(v_NB, c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A), c_Message_Omsg_OAgent(v_Ba)))))))))), c_List_Oset(v_evs4, tc_Event_Oevent), tc_Event_Oevent)),
% 11.96/7.97 inference(modus_ponens,[status(thm)],[292, 291])).
% 11.96/7.97 tff(294,plain,
% 11.96/7.97 ((~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(v_NB, c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A), c_Message_Omsg_OAgent(v_Ba))))), c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy, v_evs4)), tc_Message_Omsg)) | c_in(c_Event_Oevent_OSays(v_Ba, c_Message_Oagent_OServer, c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NAa), c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A), c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Ba), c_Message_Omsg_OMPair(v_sko__u__1(v_A, v_Ba, c_Message_Omsg_ONonce(v_NAa), v_NB, v_evs4), c_Message_Omsg_OCrypt(c_Public_OshrK(v_Ba), c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NAa), c_Message_Omsg_OMPair(v_NB, c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A), c_Message_Omsg_OAgent(v_Ba)))))))))), c_List_Oset(v_evs4, tc_Event_Oevent), tc_Event_Oevent)),
% 11.96/7.98 inference(unit_resolution,[status(thm)],[293, 287, 16, 277])).
% 11.96/7.98 tff(295,plain,
% 11.96/7.98 (c_in(c_Event_Oevent_OSays(v_Ba, c_Message_Oagent_OServer, c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NAa), c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A), c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Ba), c_Message_Omsg_OMPair(v_sko__u__1(v_A, v_Ba, c_Message_Omsg_ONonce(v_NAa), v_NB, v_evs4), c_Message_Omsg_OCrypt(c_Public_OshrK(v_Ba), c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NAa), c_Message_Omsg_OMPair(v_NB, c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A), c_Message_Omsg_OAgent(v_Ba)))))))))), c_List_Oset(v_evs4, tc_Event_Oevent), tc_Event_Oevent)),
% 11.96/7.98 inference(unit_resolution,[status(thm)],[294, 274])).
% 11.96/7.98 tff(296,plain,
% 11.96/7.98 (c_in(c_Event_Oevent_OSays(v_B, c_Message_Oagent_OServer, c_Message_Omsg_OMPair(v_NA, c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A), c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_B), c_Message_Omsg_OMPair(v_sko__u__1(v_A, v_Ba, c_Message_Omsg_ONonce(v_NAa), v_NB, v_evs4), c_Message_Omsg_OCrypt(c_Public_OshrK(v_B), c_Message_Omsg_OMPair(v_NA, c_Message_Omsg_OMPair(v_NB, c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A), c_Message_Omsg_OAgent(v_B)))))))))), c_List_Oset(v_evs4, tc_Event_Oevent), tc_Event_Oevent)),
% 11.96/7.98 inference(modus_ponens,[status(thm)],[295, 218])).
% 11.96/7.98 tff(297,plain,
% 11.96/7.98 (((~![V_U: $i] : ((~c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_B), c_Message_Omsg_OMPair(v_NB, c_Message_Omsg_OKey(v_K))), c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy, v_evs4)), tc_Message_Omsg)) | (~c_in(c_Event_Oevent_OSays(v_B, c_Message_Oagent_OServer, c_Message_Omsg_OMPair(v_NA, c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A), c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_B), c_Message_Omsg_OMPair(V_U, c_Message_Omsg_OCrypt(c_Public_OshrK(v_B), c_Message_Omsg_OMPair(v_NA, c_Message_Omsg_OMPair(v_NB, c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A), c_Message_Omsg_OAgent(v_B)))))))))), c_List_Oset(v_evs4, tc_Event_Oevent), tc_Event_Oevent)))) | ((~c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_B), c_Message_Omsg_OMPair(v_NB, c_Message_Omsg_OKey(v_K))), c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy, v_evs4)), tc_Message_Omsg)) | (~c_in(c_Event_Oevent_OSays(v_B, c_Message_Oagent_OServer, c_Message_Omsg_OMPair(v_NA, c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A), c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_B), c_Message_Omsg_OMPair(v_sko__u__1(v_A, v_Ba, c_Message_Omsg_ONonce(v_NAa), v_NB, v_evs4), c_Message_Omsg_OCrypt(c_Public_OshrK(v_B), c_Message_Omsg_OMPair(v_NA, c_Message_Omsg_OMPair(v_NB, c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A), c_Message_Omsg_OAgent(v_B)))))))))), c_List_Oset(v_evs4, tc_Event_Oevent), tc_Event_Oevent)))) <=> ((~![V_U: $i] : ((~c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_B), c_Message_Omsg_OMPair(v_NB, c_Message_Omsg_OKey(v_K))), c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy, v_evs4)), tc_Message_Omsg)) | (~c_in(c_Event_Oevent_OSays(v_B, c_Message_Oagent_OServer, c_Message_Omsg_OMPair(v_NA, c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A), c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_B), c_Message_Omsg_OMPair(V_U, c_Message_Omsg_OCrypt(c_Public_OshrK(v_B), c_Message_Omsg_OMPair(v_NA, c_Message_Omsg_OMPair(v_NB, c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A), c_Message_Omsg_OAgent(v_B)))))))))), c_List_Oset(v_evs4, tc_Event_Oevent), tc_Event_Oevent)))) | (~c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_B), c_Message_Omsg_OMPair(v_NB, c_Message_Omsg_OKey(v_K))), c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy, v_evs4)), tc_Message_Omsg)) | (~c_in(c_Event_Oevent_OSays(v_B, c_Message_Oagent_OServer, c_Message_Omsg_OMPair(v_NA, c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A), c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_B), c_Message_Omsg_OMPair(v_sko__u__1(v_A, v_Ba, c_Message_Omsg_ONonce(v_NAa), v_NB, v_evs4), c_Message_Omsg_OCrypt(c_Public_OshrK(v_B), c_Message_Omsg_OMPair(v_NA, c_Message_Omsg_OMPair(v_NB, c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A), c_Message_Omsg_OAgent(v_B)))))))))), c_List_Oset(v_evs4, tc_Event_Oevent), tc_Event_Oevent)))),
% 12.02/8.01 inference(rewrite,[status(thm)],[])).
% 12.02/8.01 tff(298,plain,
% 12.02/8.01 ((~![V_U: $i] : ((~c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_B), c_Message_Omsg_OMPair(v_NB, c_Message_Omsg_OKey(v_K))), c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy, v_evs4)), tc_Message_Omsg)) | (~c_in(c_Event_Oevent_OSays(v_B, c_Message_Oagent_OServer, c_Message_Omsg_OMPair(v_NA, c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A), c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_B), c_Message_Omsg_OMPair(V_U, c_Message_Omsg_OCrypt(c_Public_OshrK(v_B), c_Message_Omsg_OMPair(v_NA, c_Message_Omsg_OMPair(v_NB, c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A), c_Message_Omsg_OAgent(v_B)))))))))), c_List_Oset(v_evs4, tc_Event_Oevent), tc_Event_Oevent)))) | ((~c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_B), c_Message_Omsg_OMPair(v_NB, c_Message_Omsg_OKey(v_K))), c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy, v_evs4)), tc_Message_Omsg)) | (~c_in(c_Event_Oevent_OSays(v_B, c_Message_Oagent_OServer, c_Message_Omsg_OMPair(v_NA, c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A), c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_B), c_Message_Omsg_OMPair(v_sko__u__1(v_A, v_Ba, c_Message_Omsg_ONonce(v_NAa), v_NB, v_evs4), c_Message_Omsg_OCrypt(c_Public_OshrK(v_B), c_Message_Omsg_OMPair(v_NA, c_Message_Omsg_OMPair(v_NB, c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A), c_Message_Omsg_OAgent(v_B)))))))))), c_List_Oset(v_evs4, tc_Event_Oevent), tc_Event_Oevent)))),
% 12.02/8.01 inference(quant_inst,[status(thm)],[])).
% 12.02/8.01 tff(299,plain,
% 12.02/8.01 ((~![V_U: $i] : ((~c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_B), c_Message_Omsg_OMPair(v_NB, c_Message_Omsg_OKey(v_K))), c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy, v_evs4)), tc_Message_Omsg)) | (~c_in(c_Event_Oevent_OSays(v_B, c_Message_Oagent_OServer, c_Message_Omsg_OMPair(v_NA, c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A), c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_B), c_Message_Omsg_OMPair(V_U, c_Message_Omsg_OCrypt(c_Public_OshrK(v_B), c_Message_Omsg_OMPair(v_NA, c_Message_Omsg_OMPair(v_NB, c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A), c_Message_Omsg_OAgent(v_B)))))))))), c_List_Oset(v_evs4, tc_Event_Oevent), tc_Event_Oevent)))) | (~c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_B), c_Message_Omsg_OMPair(v_NB, c_Message_Omsg_OKey(v_K))), c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy, v_evs4)), tc_Message_Omsg)) | (~c_in(c_Event_Oevent_OSays(v_B, c_Message_Oagent_OServer, c_Message_Omsg_OMPair(v_NA, c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A), c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_B), c_Message_Omsg_OMPair(v_sko__u__1(v_A, v_Ba, c_Message_Omsg_ONonce(v_NAa), v_NB, v_evs4), c_Message_Omsg_OCrypt(c_Public_OshrK(v_B), c_Message_Omsg_OMPair(v_NA, c_Message_Omsg_OMPair(v_NB, c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A), c_Message_Omsg_OAgent(v_B)))))))))), c_List_Oset(v_evs4, tc_Event_Oevent), tc_Event_Oevent))),
% 12.02/8.01 inference(modus_ponens,[status(thm)],[298, 297])).
% 12.02/8.01 tff(300,plain,
% 12.02/8.01 (~c_in(c_Event_Oevent_OSays(v_B, c_Message_Oagent_OServer, c_Message_Omsg_OMPair(v_NA, c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A), c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_B), c_Message_Omsg_OMPair(v_sko__u__1(v_A, v_Ba, c_Message_Omsg_ONonce(v_NAa), v_NB, v_evs4), c_Message_Omsg_OCrypt(c_Public_OshrK(v_B), c_Message_Omsg_OMPair(v_NA, c_Message_Omsg_OMPair(v_NB, c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A), c_Message_Omsg_OAgent(v_B)))))))))), c_List_Oset(v_evs4, tc_Event_Oevent), tc_Event_Oevent)),
% 12.02/8.01 inference(unit_resolution,[status(thm)],[299, 171, 158])).
% 12.02/8.01 tff(301,plain,
% 12.02/8.01 ($false),
% 12.02/8.01 inference(unit_resolution,[status(thm)],[300, 296])).
% 12.02/8.01 % SZS output end Proof
%------------------------------------------------------------------------------