TSTP Solution File: SWV305-2 by Z3---4.8.9.0
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- Process Solution
%------------------------------------------------------------------------------
% File : Z3---4.8.9.0
% Problem : SWV305-2 : TPTP v8.1.0. Released v3.2.0.
% Transfm : none
% Format : tptp
% Command : z3_tptp -proof -model -t:%d -file:%s
% Computer : n005.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Thu Sep 29 15:11:01 EDT 2022
% Result : Unsatisfiable 0.12s 0.39s
% Output : Proof 0.20s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SWV305-2 : TPTP v8.1.0. Released v3.2.0.
% 0.07/0.13 % Command : z3_tptp -proof -model -t:%d -file:%s
% 0.12/0.34 % Computer : n005.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 300
% 0.12/0.34 % DateTime : Sun Sep 4 02:19:03 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.12/0.34 Z3tptp [4.8.9.0] (c) 2006-20**. Microsoft Corp.
% 0.12/0.34 Usage: tptp [options] [-file:]file
% 0.12/0.34 -h, -? prints this message.
% 0.12/0.34 -smt2 print SMT-LIB2 benchmark.
% 0.12/0.34 -m, -model generate model.
% 0.12/0.34 -p, -proof generate proof.
% 0.12/0.34 -c, -core generate unsat core of named formulas.
% 0.12/0.34 -st, -statistics display statistics.
% 0.12/0.34 -t:timeout set timeout (in second).
% 0.12/0.34 -smt2status display status in smt2 format instead of SZS.
% 0.12/0.34 -check_status check the status produced by Z3 against annotation in benchmark.
% 0.12/0.34 -<param>:<value> configuration parameter and value.
% 0.12/0.34 -o:<output-file> file to place output in.
% 0.12/0.39 % SZS status Unsatisfiable
% 0.12/0.39 % SZS output start Proof
% 0.12/0.39 tff(c_in_type, type, (
% 0.12/0.39 c_in: ( $i * $i * $i ) > $o)).
% 0.12/0.39 tff(tc_Message_Omsg_type, type, (
% 0.12/0.39 tc_Message_Omsg: $i)).
% 0.12/0.39 tff(c_Message_Oanalz_type, type, (
% 0.12/0.39 c_Message_Oanalz: $i > $i)).
% 0.12/0.39 tff(c_Event_Oknows_type, type, (
% 0.12/0.39 c_Event_Oknows: ( $i * $i ) > $i)).
% 0.12/0.39 tff(v_evsf_type, type, (
% 0.12/0.39 v_evsf: $i)).
% 0.12/0.39 tff(c_Message_Oagent_OSpy_type, type, (
% 0.12/0.39 c_Message_Oagent_OSpy: $i)).
% 0.12/0.39 tff(c_Message_Omsg_OCrypt_type, type, (
% 0.12/0.39 c_Message_Omsg_OCrypt: ( $i * $i ) > $i)).
% 0.12/0.39 tff(c_Message_Omsg_OMPair_type, type, (
% 0.12/0.39 c_Message_Omsg_OMPair: ( $i * $i ) > $i)).
% 0.12/0.39 tff(c_Message_Omsg_OAgent_type, type, (
% 0.12/0.39 c_Message_Omsg_OAgent: $i > $i)).
% 0.12/0.39 tff(v_A_type, type, (
% 0.12/0.39 v_A: $i)).
% 0.12/0.39 tff(v_A_H_type, type, (
% 0.12/0.39 v_A_H: $i)).
% 0.12/0.39 tff(v_NA_type, type, (
% 0.12/0.39 v_NA: $i)).
% 0.12/0.39 tff(v_NA_H_type, type, (
% 0.12/0.39 v_NA_H: $i)).
% 0.12/0.39 tff(c_Public_OshrK_type, type, (
% 0.12/0.39 c_Public_OshrK: $i > $i)).
% 0.12/0.39 tff(c_Message_Omsg_OKey_type, type, (
% 0.12/0.39 c_Message_Omsg_OKey: $i > $i)).
% 0.12/0.39 tff(c_Message_Oparts_type, type, (
% 0.12/0.39 c_Message_Oparts: $i > $i)).
% 0.12/0.39 tff(tc_List_Olist_type, type, (
% 0.12/0.39 tc_List_Olist: $i > $i)).
% 0.12/0.39 tff(tc_Event_Oevent_type, type, (
% 0.12/0.39 tc_Event_Oevent: $i)).
% 0.12/0.39 tff(c_OtwayRees_Ootway_type, type, (
% 0.12/0.39 c_OtwayRees_Ootway: $i)).
% 0.12/0.39 tff(tc_Message_Oagent_type, type, (
% 0.12/0.39 tc_Message_Oagent: $i)).
% 0.12/0.39 tff(c_Event_Obad_type, type, (
% 0.12/0.39 c_Event_Obad: $i)).
% 0.12/0.39 tff(c_Message_Osynth_type, type, (
% 0.12/0.39 c_Message_Osynth: $i > $i)).
% 0.12/0.39 tff(v_B_type, type, (
% 0.12/0.39 v_B: $i)).
% 0.12/0.39 tff(c_union_type, type, (
% 0.12/0.39 c_union: ( $i * $i * $i ) > $i)).
% 0.12/0.39 tff(c_insert_type, type, (
% 0.12/0.39 c_insert: ( $i * $i * $i ) > $i)).
% 0.12/0.39 tff(v_X_type, type, (
% 0.12/0.39 v_X: $i)).
% 0.12/0.39 tff(1,assumption,(c_in(c_Message_Omsg_OKey(c_Public_OshrK(v_A)), c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy, v_evsf)), tc_Message_Omsg)), introduced(assumption)).
% 0.12/0.39 tff(2,plain,
% 0.12/0.39 (^[V_A: $i, V_evs: $i] : refl((c_in(V_A, c_Event_Obad, tc_Message_Oagent) | (~c_in(c_Message_Omsg_OKey(c_Public_OshrK(V_A)), c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy, V_evs)), tc_Message_Omsg)) | (~c_in(V_evs, c_OtwayRees_Ootway, tc_List_Olist(tc_Event_Oevent)))) <=> (c_in(V_A, c_Event_Obad, tc_Message_Oagent) | (~c_in(c_Message_Omsg_OKey(c_Public_OshrK(V_A)), c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy, V_evs)), tc_Message_Omsg)) | (~c_in(V_evs, c_OtwayRees_Ootway, tc_List_Olist(tc_Event_Oevent)))))),
% 0.12/0.39 inference(bind,[status(th)],[])).
% 0.12/0.39 tff(3,plain,
% 0.12/0.39 (![V_A: $i, V_evs: $i] : (c_in(V_A, c_Event_Obad, tc_Message_Oagent) | (~c_in(c_Message_Omsg_OKey(c_Public_OshrK(V_A)), c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy, V_evs)), tc_Message_Omsg)) | (~c_in(V_evs, c_OtwayRees_Ootway, tc_List_Olist(tc_Event_Oevent)))) <=> ![V_A: $i, V_evs: $i] : (c_in(V_A, c_Event_Obad, tc_Message_Oagent) | (~c_in(c_Message_Omsg_OKey(c_Public_OshrK(V_A)), c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy, V_evs)), tc_Message_Omsg)) | (~c_in(V_evs, c_OtwayRees_Ootway, tc_List_Olist(tc_Event_Oevent))))),
% 0.12/0.39 inference(quant_intro,[status(thm)],[2])).
% 0.12/0.39 tff(4,plain,
% 0.12/0.39 (![V_A: $i, V_evs: $i] : (c_in(V_A, c_Event_Obad, tc_Message_Oagent) | (~c_in(c_Message_Omsg_OKey(c_Public_OshrK(V_A)), c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy, V_evs)), tc_Message_Omsg)) | (~c_in(V_evs, c_OtwayRees_Ootway, tc_List_Olist(tc_Event_Oevent)))) <=> ![V_A: $i, V_evs: $i] : (c_in(V_A, c_Event_Obad, tc_Message_Oagent) | (~c_in(c_Message_Omsg_OKey(c_Public_OshrK(V_A)), c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy, V_evs)), tc_Message_Omsg)) | (~c_in(V_evs, c_OtwayRees_Ootway, tc_List_Olist(tc_Event_Oevent))))),
% 0.12/0.39 inference(rewrite,[status(thm)],[])).
% 0.12/0.39 tff(5,plain,
% 0.12/0.39 (^[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(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_evs, c_OtwayRees_Ootway, tc_List_Olist(tc_Event_Oevent)))))),
% 0.12/0.39 inference(bind,[status(th)],[])).
% 0.12/0.39 tff(6,plain,
% 0.12/0.39 (![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(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_evs, c_OtwayRees_Ootway, tc_List_Olist(tc_Event_Oevent))))),
% 0.12/0.39 inference(quant_intro,[status(thm)],[5])).
% 0.12/0.39 tff(7,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/sandbox2/benchmark/theBenchmark.p','cls_OtwayRees_OSpy__see__shrK__D__dest_0')).
% 0.12/0.39 tff(8,plain,
% 0.12/0.39 (![V_A: $i, V_evs: $i] : (c_in(V_A, c_Event_Obad, tc_Message_Oagent) | (~c_in(c_Message_Omsg_OKey(c_Public_OshrK(V_A)), c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy, V_evs)), tc_Message_Omsg)) | (~c_in(V_evs, c_OtwayRees_Ootway, tc_List_Olist(tc_Event_Oevent))))),
% 0.12/0.39 inference(modus_ponens,[status(thm)],[7, 6])).
% 0.12/0.39 tff(9,plain,
% 0.12/0.39 (![V_A: $i, V_evs: $i] : (c_in(V_A, c_Event_Obad, tc_Message_Oagent) | (~c_in(c_Message_Omsg_OKey(c_Public_OshrK(V_A)), c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy, V_evs)), tc_Message_Omsg)) | (~c_in(V_evs, c_OtwayRees_Ootway, tc_List_Olist(tc_Event_Oevent))))),
% 0.12/0.39 inference(modus_ponens,[status(thm)],[8, 4])).
% 0.12/0.39 tff(10,plain,(
% 0.12/0.39 ![V_A: $i, V_evs: $i] : (c_in(V_A, c_Event_Obad, tc_Message_Oagent) | (~c_in(c_Message_Omsg_OKey(c_Public_OshrK(V_A)), c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy, V_evs)), tc_Message_Omsg)) | (~c_in(V_evs, c_OtwayRees_Ootway, tc_List_Olist(tc_Event_Oevent))))),
% 0.12/0.39 inference(skolemize,[status(sab)],[9])).
% 0.12/0.39 tff(11,plain,
% 0.12/0.39 (![V_A: $i, V_evs: $i] : (c_in(V_A, c_Event_Obad, tc_Message_Oagent) | (~c_in(c_Message_Omsg_OKey(c_Public_OshrK(V_A)), c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy, V_evs)), tc_Message_Omsg)) | (~c_in(V_evs, c_OtwayRees_Ootway, tc_List_Olist(tc_Event_Oevent))))),
% 0.12/0.39 inference(modus_ponens,[status(thm)],[10, 3])).
% 0.12/0.39 tff(12,plain,
% 0.12/0.39 (c_in(v_evsf, c_OtwayRees_Ootway, tc_List_Olist(tc_Event_Oevent)) <=> c_in(v_evsf, c_OtwayRees_Ootway, tc_List_Olist(tc_Event_Oevent))),
% 0.12/0.39 inference(rewrite,[status(thm)],[])).
% 0.12/0.39 tff(13,axiom,(c_in(v_evsf, c_OtwayRees_Ootway, tc_List_Olist(tc_Event_Oevent))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','cls_conjecture_1')).
% 0.12/0.39 tff(14,plain,
% 0.12/0.39 (c_in(v_evsf, c_OtwayRees_Ootway, tc_List_Olist(tc_Event_Oevent))),
% 0.12/0.39 inference(modus_ponens,[status(thm)],[13, 12])).
% 0.12/0.39 tff(15,plain,
% 0.12/0.39 ((~c_in(v_A, c_Event_Obad, tc_Message_Oagent)) <=> (~c_in(v_A, c_Event_Obad, tc_Message_Oagent))),
% 0.12/0.39 inference(rewrite,[status(thm)],[])).
% 0.12/0.39 tff(16,axiom,(~c_in(v_A, c_Event_Obad, tc_Message_Oagent)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','cls_conjecture_0')).
% 0.12/0.39 tff(17,plain,
% 0.12/0.39 (~c_in(v_A, c_Event_Obad, tc_Message_Oagent)),
% 0.12/0.39 inference(modus_ponens,[status(thm)],[16, 15])).
% 0.12/0.39 tff(18,plain,
% 0.12/0.39 (((~![V_A: $i, V_evs: $i] : (c_in(V_A, c_Event_Obad, tc_Message_Oagent) | (~c_in(c_Message_Omsg_OKey(c_Public_OshrK(V_A)), c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy, V_evs)), tc_Message_Omsg)) | (~c_in(V_evs, c_OtwayRees_Ootway, tc_List_Olist(tc_Event_Oevent))))) | (c_in(v_A, c_Event_Obad, tc_Message_Oagent) | (~c_in(c_Message_Omsg_OKey(c_Public_OshrK(v_A)), c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy, v_evsf)), tc_Message_Omsg)) | (~c_in(v_evsf, c_OtwayRees_Ootway, tc_List_Olist(tc_Event_Oevent))))) <=> ((~![V_A: $i, V_evs: $i] : (c_in(V_A, c_Event_Obad, tc_Message_Oagent) | (~c_in(c_Message_Omsg_OKey(c_Public_OshrK(V_A)), c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy, V_evs)), tc_Message_Omsg)) | (~c_in(V_evs, c_OtwayRees_Ootway, tc_List_Olist(tc_Event_Oevent))))) | c_in(v_A, c_Event_Obad, tc_Message_Oagent) | (~c_in(c_Message_Omsg_OKey(c_Public_OshrK(v_A)), c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy, v_evsf)), tc_Message_Omsg)) | (~c_in(v_evsf, c_OtwayRees_Ootway, tc_List_Olist(tc_Event_Oevent))))),
% 0.12/0.39 inference(rewrite,[status(thm)],[])).
% 0.12/0.39 tff(19,plain,
% 0.12/0.39 ((~![V_A: $i, V_evs: $i] : (c_in(V_A, c_Event_Obad, tc_Message_Oagent) | (~c_in(c_Message_Omsg_OKey(c_Public_OshrK(V_A)), c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy, V_evs)), tc_Message_Omsg)) | (~c_in(V_evs, c_OtwayRees_Ootway, tc_List_Olist(tc_Event_Oevent))))) | (c_in(v_A, c_Event_Obad, tc_Message_Oagent) | (~c_in(c_Message_Omsg_OKey(c_Public_OshrK(v_A)), c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy, v_evsf)), tc_Message_Omsg)) | (~c_in(v_evsf, c_OtwayRees_Ootway, tc_List_Olist(tc_Event_Oevent))))),
% 0.12/0.39 inference(quant_inst,[status(thm)],[])).
% 0.12/0.39 tff(20,plain,
% 0.12/0.39 ((~![V_A: $i, V_evs: $i] : (c_in(V_A, c_Event_Obad, tc_Message_Oagent) | (~c_in(c_Message_Omsg_OKey(c_Public_OshrK(V_A)), c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy, V_evs)), tc_Message_Omsg)) | (~c_in(V_evs, c_OtwayRees_Ootway, tc_List_Olist(tc_Event_Oevent))))) | c_in(v_A, c_Event_Obad, tc_Message_Oagent) | (~c_in(c_Message_Omsg_OKey(c_Public_OshrK(v_A)), c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy, v_evsf)), tc_Message_Omsg)) | (~c_in(v_evsf, c_OtwayRees_Ootway, tc_List_Olist(tc_Event_Oevent)))),
% 0.12/0.39 inference(modus_ponens,[status(thm)],[19, 18])).
% 0.12/0.39 tff(21,plain,
% 0.12/0.39 ($false),
% 0.12/0.39 inference(unit_resolution,[status(thm)],[20, 17, 14, 11, 1])).
% 0.12/0.39 tff(22,plain,(~c_in(c_Message_Omsg_OKey(c_Public_OshrK(v_A)), c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy, v_evsf)), tc_Message_Omsg)), inference(lemma,lemma(discharge,[]))).
% 0.12/0.39 tff(23,plain,
% 0.12/0.39 (^[V_c: $i, V_H: $i] : refl(((~c_in(V_c, c_Message_Oanalz(V_H), tc_Message_Omsg)) | c_in(V_c, c_Message_Oparts(V_H), tc_Message_Omsg)) <=> ((~c_in(V_c, c_Message_Oanalz(V_H), tc_Message_Omsg)) | c_in(V_c, c_Message_Oparts(V_H), tc_Message_Omsg)))),
% 0.12/0.39 inference(bind,[status(th)],[])).
% 0.12/0.39 tff(24,plain,
% 0.12/0.39 (![V_c: $i, V_H: $i] : ((~c_in(V_c, c_Message_Oanalz(V_H), tc_Message_Omsg)) | c_in(V_c, c_Message_Oparts(V_H), tc_Message_Omsg)) <=> ![V_c: $i, V_H: $i] : ((~c_in(V_c, c_Message_Oanalz(V_H), tc_Message_Omsg)) | c_in(V_c, c_Message_Oparts(V_H), tc_Message_Omsg))),
% 0.12/0.39 inference(quant_intro,[status(thm)],[23])).
% 0.12/0.39 tff(25,plain,
% 0.12/0.39 (![V_c: $i, V_H: $i] : ((~c_in(V_c, c_Message_Oanalz(V_H), tc_Message_Omsg)) | c_in(V_c, c_Message_Oparts(V_H), tc_Message_Omsg)) <=> ![V_c: $i, V_H: $i] : ((~c_in(V_c, c_Message_Oanalz(V_H), tc_Message_Omsg)) | c_in(V_c, c_Message_Oparts(V_H), tc_Message_Omsg))),
% 0.12/0.39 inference(rewrite,[status(thm)],[])).
% 0.12/0.39 tff(26,axiom,(![V_c: $i, V_H: $i] : ((~c_in(V_c, c_Message_Oanalz(V_H), tc_Message_Omsg)) | c_in(V_c, c_Message_Oparts(V_H), tc_Message_Omsg))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','cls_Message_Oanalz__into__parts__dest_0')).
% 0.12/0.39 tff(27,plain,
% 0.12/0.39 (![V_c: $i, V_H: $i] : ((~c_in(V_c, c_Message_Oanalz(V_H), tc_Message_Omsg)) | c_in(V_c, c_Message_Oparts(V_H), tc_Message_Omsg))),
% 0.12/0.39 inference(modus_ponens,[status(thm)],[26, 25])).
% 0.12/0.39 tff(28,plain,(
% 0.12/0.39 ![V_c: $i, V_H: $i] : ((~c_in(V_c, c_Message_Oanalz(V_H), tc_Message_Omsg)) | c_in(V_c, c_Message_Oparts(V_H), tc_Message_Omsg))),
% 0.12/0.39 inference(skolemize,[status(sab)],[27])).
% 0.12/0.39 tff(29,plain,
% 0.12/0.39 (![V_c: $i, V_H: $i] : ((~c_in(V_c, c_Message_Oanalz(V_H), tc_Message_Omsg)) | c_in(V_c, c_Message_Oparts(V_H), tc_Message_Omsg))),
% 0.12/0.39 inference(modus_ponens,[status(thm)],[28, 24])).
% 0.12/0.39 tff(30,plain,
% 0.12/0.39 (((~![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_A)), c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy, v_evsf)), tc_Message_Omsg)) | c_in(c_Message_Omsg_OKey(c_Public_OshrK(v_A)), c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy, v_evsf)), 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_A)), c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy, v_evsf)), tc_Message_Omsg)) | c_in(c_Message_Omsg_OKey(c_Public_OshrK(v_A)), c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy, v_evsf)), tc_Message_Omsg))),
% 0.20/0.40 inference(rewrite,[status(thm)],[])).
% 0.20/0.40 tff(31,plain,
% 0.20/0.40 ((~![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_A)), c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy, v_evsf)), tc_Message_Omsg)) | c_in(c_Message_Omsg_OKey(c_Public_OshrK(v_A)), c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy, v_evsf)), tc_Message_Omsg))),
% 0.20/0.40 inference(quant_inst,[status(thm)],[])).
% 0.20/0.40 tff(32,plain,
% 0.20/0.40 ((~![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_A)), c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy, v_evsf)), tc_Message_Omsg)) | c_in(c_Message_Omsg_OKey(c_Public_OshrK(v_A)), c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy, v_evsf)), tc_Message_Omsg)),
% 0.20/0.40 inference(modus_ponens,[status(thm)],[31, 30])).
% 0.20/0.40 tff(33,plain,
% 0.20/0.40 (~c_in(c_Message_Omsg_OKey(c_Public_OshrK(v_A)), c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy, v_evsf)), tc_Message_Omsg)),
% 0.20/0.40 inference(unit_resolution,[status(thm)],[32, 29, 22])).
% 0.20/0.40 tff(34,assumption,(~c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_A), c_Message_Omsg_OMPair(v_NA, c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A), c_Message_Omsg_OAgent(v_B)))), c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy, v_evsf)), tc_Message_Omsg)), introduced(assumption)).
% 0.20/0.40 tff(35,plain,
% 0.20/0.40 (^[V_Z: $i, V_H: $i, V_X: $i] : refl((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) | (~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))))),
% 0.20/0.40 inference(bind,[status(th)],[])).
% 0.20/0.40 tff(36,plain,
% 0.20/0.40 (![V_Z: $i, V_H: $i, V_X: $i] : (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))) <=> ![V_Z: $i, V_H: $i, V_X: $i] : (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)))),
% 0.20/0.40 inference(quant_intro,[status(thm)],[35])).
% 0.20/0.40 tff(37,plain,
% 0.20/0.40 (![V_Z: $i, V_H: $i, V_X: $i] : (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))) <=> ![V_Z: $i, V_H: $i, V_X: $i] : (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)))),
% 0.20/0.40 inference(rewrite,[status(thm)],[])).
% 0.20/0.40 tff(38,plain,
% 0.20/0.40 (^[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_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_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_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)))))),
% 0.20/0.40 inference(bind,[status(th)],[])).
% 0.20/0.40 tff(39,plain,
% 0.20/0.40 (![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_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)))),
% 0.20/0.40 inference(quant_intro,[status(thm)],[38])).
% 0.20/0.40 tff(40,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/sandbox2/benchmark/theBenchmark.p','cls_Message_OFake__parts__insert__in__Un__dest_0')).
% 0.20/0.40 tff(41,plain,
% 0.20/0.40 (![V_Z: $i, V_H: $i, V_X: $i] : (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)))),
% 0.20/0.40 inference(modus_ponens,[status(thm)],[40, 39])).
% 0.20/0.40 tff(42,plain,
% 0.20/0.40 (![V_Z: $i, V_H: $i, V_X: $i] : (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)))),
% 0.20/0.40 inference(modus_ponens,[status(thm)],[41, 37])).
% 0.20/0.40 tff(43,plain,(
% 0.20/0.40 ![V_Z: $i, V_H: $i, V_X: $i] : (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)))),
% 0.20/0.40 inference(skolemize,[status(sab)],[42])).
% 0.20/0.40 tff(44,plain,
% 0.20/0.40 (![V_Z: $i, V_H: $i, V_X: $i] : (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)))),
% 0.20/0.40 inference(modus_ponens,[status(thm)],[43, 36])).
% 0.20/0.40 tff(45,plain,
% 0.20/0.40 (c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_A), c_Message_Omsg_OMPair(v_NA, c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A), c_Message_Omsg_OAgent(v_B)))), c_Message_Oparts(c_insert(v_X, c_Event_Oknows(c_Message_Oagent_OSpy, v_evsf), tc_Message_Omsg)), tc_Message_Omsg) <=> c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_A), c_Message_Omsg_OMPair(v_NA, c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A), c_Message_Omsg_OAgent(v_B)))), c_Message_Oparts(c_insert(v_X, c_Event_Oknows(c_Message_Oagent_OSpy, v_evsf), tc_Message_Omsg)), tc_Message_Omsg)),
% 0.20/0.40 inference(rewrite,[status(thm)],[])).
% 0.20/0.40 tff(46,axiom,(c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_A), c_Message_Omsg_OMPair(v_NA, c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A), c_Message_Omsg_OAgent(v_B)))), c_Message_Oparts(c_insert(v_X, c_Event_Oknows(c_Message_Oagent_OSpy, v_evsf), tc_Message_Omsg)), tc_Message_Omsg)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','cls_conjecture_3')).
% 0.20/0.40 tff(47,plain,
% 0.20/0.40 (c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_A), c_Message_Omsg_OMPair(v_NA, c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A), c_Message_Omsg_OAgent(v_B)))), c_Message_Oparts(c_insert(v_X, c_Event_Oknows(c_Message_Oagent_OSpy, v_evsf), tc_Message_Omsg)), tc_Message_Omsg)),
% 0.20/0.40 inference(modus_ponens,[status(thm)],[46, 45])).
% 0.20/0.40 tff(48,plain,
% 0.20/0.40 (c_in(v_X, c_Message_Osynth(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy, v_evsf))), tc_Message_Omsg) <=> c_in(v_X, c_Message_Osynth(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy, v_evsf))), tc_Message_Omsg)),
% 0.20/0.40 inference(rewrite,[status(thm)],[])).
% 0.20/0.40 tff(49,axiom,(c_in(v_X, c_Message_Osynth(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy, v_evsf))), tc_Message_Omsg)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','cls_conjecture_2')).
% 0.20/0.40 tff(50,plain,
% 0.20/0.40 (c_in(v_X, c_Message_Osynth(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy, v_evsf))), tc_Message_Omsg)),
% 0.20/0.40 inference(modus_ponens,[status(thm)],[49, 48])).
% 0.20/0.40 tff(51,plain,
% 0.20/0.40 (((~![V_Z: $i, V_H: $i, V_X: $i] : (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(c_Message_Omsg_OCrypt(c_Public_OshrK(v_A), c_Message_Omsg_OMPair(v_NA, c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A), c_Message_Omsg_OAgent(v_B)))), c_union(c_Message_Osynth(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy, v_evsf))), c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy, v_evsf)), tc_Message_Omsg), tc_Message_Omsg) | (~c_in(v_X, c_Message_Osynth(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy, v_evsf))), tc_Message_Omsg)) | (~c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_A), c_Message_Omsg_OMPair(v_NA, c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A), c_Message_Omsg_OAgent(v_B)))), c_Message_Oparts(c_insert(v_X, c_Event_Oknows(c_Message_Oagent_OSpy, v_evsf), tc_Message_Omsg)), tc_Message_Omsg)))) <=> ((~![V_Z: $i, V_H: $i, V_X: $i] : (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(c_Message_Omsg_OCrypt(c_Public_OshrK(v_A), c_Message_Omsg_OMPair(v_NA, c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A), c_Message_Omsg_OAgent(v_B)))), c_union(c_Message_Osynth(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy, v_evsf))), c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy, v_evsf)), tc_Message_Omsg), tc_Message_Omsg) | (~c_in(v_X, c_Message_Osynth(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy, v_evsf))), tc_Message_Omsg)) | (~c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_A), c_Message_Omsg_OMPair(v_NA, c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A), c_Message_Omsg_OAgent(v_B)))), c_Message_Oparts(c_insert(v_X, c_Event_Oknows(c_Message_Oagent_OSpy, v_evsf), tc_Message_Omsg)), tc_Message_Omsg)))),
% 0.20/0.40 inference(rewrite,[status(thm)],[])).
% 0.20/0.40 tff(52,plain,
% 0.20/0.40 ((~![V_Z: $i, V_H: $i, V_X: $i] : (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(c_Message_Omsg_OCrypt(c_Public_OshrK(v_A), c_Message_Omsg_OMPair(v_NA, c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A), c_Message_Omsg_OAgent(v_B)))), c_union(c_Message_Osynth(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy, v_evsf))), c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy, v_evsf)), tc_Message_Omsg), tc_Message_Omsg) | (~c_in(v_X, c_Message_Osynth(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy, v_evsf))), tc_Message_Omsg)) | (~c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_A), c_Message_Omsg_OMPair(v_NA, c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A), c_Message_Omsg_OAgent(v_B)))), c_Message_Oparts(c_insert(v_X, c_Event_Oknows(c_Message_Oagent_OSpy, v_evsf), tc_Message_Omsg)), tc_Message_Omsg)))),
% 0.20/0.40 inference(quant_inst,[status(thm)],[])).
% 0.20/0.40 tff(53,plain,
% 0.20/0.40 ((~![V_Z: $i, V_H: $i, V_X: $i] : (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(c_Message_Omsg_OCrypt(c_Public_OshrK(v_A), c_Message_Omsg_OMPair(v_NA, c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A), c_Message_Omsg_OAgent(v_B)))), c_union(c_Message_Osynth(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy, v_evsf))), c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy, v_evsf)), tc_Message_Omsg), tc_Message_Omsg) | (~c_in(v_X, c_Message_Osynth(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy, v_evsf))), tc_Message_Omsg)) | (~c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_A), c_Message_Omsg_OMPair(v_NA, c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A), c_Message_Omsg_OAgent(v_B)))), c_Message_Oparts(c_insert(v_X, c_Event_Oknows(c_Message_Oagent_OSpy, v_evsf), tc_Message_Omsg)), tc_Message_Omsg))),
% 0.20/0.40 inference(modus_ponens,[status(thm)],[52, 51])).
% 0.20/0.40 tff(54,plain,
% 0.20/0.40 (c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_A), c_Message_Omsg_OMPair(v_NA, c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A), c_Message_Omsg_OAgent(v_B)))), c_union(c_Message_Osynth(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy, v_evsf))), c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy, v_evsf)), tc_Message_Omsg), tc_Message_Omsg)),
% 0.20/0.40 inference(unit_resolution,[status(thm)],[53, 50, 47, 44])).
% 0.20/0.40 tff(55,plain,
% 0.20/0.40 (^[V_c: $i, T_a: $i, V_B: $i, V_A: $i] : refl((c_in(V_c, V_A, T_a) | c_in(V_c, V_B, T_a) | (~c_in(V_c, c_union(V_A, V_B, T_a), T_a))) <=> (c_in(V_c, V_A, T_a) | c_in(V_c, V_B, T_a) | (~c_in(V_c, c_union(V_A, V_B, T_a), T_a))))),
% 0.20/0.40 inference(bind,[status(th)],[])).
% 0.20/0.40 tff(56,plain,
% 0.20/0.40 (![V_c: $i, T_a: $i, V_B: $i, V_A: $i] : (c_in(V_c, V_A, T_a) | c_in(V_c, V_B, 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_A, T_a) | c_in(V_c, V_B, T_a) | (~c_in(V_c, c_union(V_A, V_B, T_a), T_a)))),
% 0.20/0.40 inference(quant_intro,[status(thm)],[55])).
% 0.20/0.40 tff(57,plain,
% 0.20/0.40 (![V_c: $i, T_a: $i, V_B: $i, V_A: $i] : (c_in(V_c, V_A, T_a) | c_in(V_c, V_B, 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_A, T_a) | c_in(V_c, V_B, T_a) | (~c_in(V_c, c_union(V_A, V_B, T_a), T_a)))),
% 0.20/0.40 inference(rewrite,[status(thm)],[])).
% 0.20/0.40 tff(58,plain,
% 0.20/0.40 (^[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_A, T_a) | c_in(V_c, V_B, T_a) | (~c_in(V_c, c_union(V_A, V_B, T_a), T_a))))),
% 0.20/0.40 inference(bind,[status(th)],[])).
% 0.20/0.40 tff(59,plain,
% 0.20/0.40 (![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_A, T_a) | c_in(V_c, V_B, T_a) | (~c_in(V_c, c_union(V_A, V_B, T_a), T_a)))),
% 0.20/0.40 inference(quant_intro,[status(thm)],[58])).
% 0.20/0.40 tff(60,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/sandbox2/benchmark/theBenchmark.p','cls_Set_OUnE_0')).
% 0.20/0.40 tff(61,plain,
% 0.20/0.40 (![V_c: $i, T_a: $i, V_B: $i, V_A: $i] : (c_in(V_c, V_A, T_a) | c_in(V_c, V_B, T_a) | (~c_in(V_c, c_union(V_A, V_B, T_a), T_a)))),
% 0.20/0.40 inference(modus_ponens,[status(thm)],[60, 59])).
% 0.20/0.40 tff(62,plain,
% 0.20/0.40 (![V_c: $i, T_a: $i, V_B: $i, V_A: $i] : (c_in(V_c, V_A, T_a) | c_in(V_c, V_B, T_a) | (~c_in(V_c, c_union(V_A, V_B, T_a), T_a)))),
% 0.20/0.40 inference(modus_ponens,[status(thm)],[61, 57])).
% 0.20/0.40 tff(63,plain,(
% 0.20/0.40 ![V_c: $i, T_a: $i, V_B: $i, V_A: $i] : (c_in(V_c, V_A, T_a) | c_in(V_c, V_B, T_a) | (~c_in(V_c, c_union(V_A, V_B, T_a), T_a)))),
% 0.20/0.40 inference(skolemize,[status(sab)],[62])).
% 0.20/0.40 tff(64,plain,
% 0.20/0.40 (![V_c: $i, T_a: $i, V_B: $i, V_A: $i] : (c_in(V_c, V_A, T_a) | c_in(V_c, V_B, T_a) | (~c_in(V_c, c_union(V_A, V_B, T_a), T_a)))),
% 0.20/0.40 inference(modus_ponens,[status(thm)],[63, 56])).
% 0.20/0.40 tff(65,plain,
% 0.20/0.40 (((~![V_c: $i, T_a: $i, V_B: $i, V_A: $i] : (c_in(V_c, V_A, T_a) | c_in(V_c, V_B, 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_A), c_Message_Omsg_OMPair(v_NA, c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A), c_Message_Omsg_OAgent(v_B)))), c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy, v_evsf)), tc_Message_Omsg) | c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_A), c_Message_Omsg_OMPair(v_NA, c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A), c_Message_Omsg_OAgent(v_B)))), c_Message_Osynth(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy, v_evsf))), tc_Message_Omsg) | (~c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_A), c_Message_Omsg_OMPair(v_NA, c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A), c_Message_Omsg_OAgent(v_B)))), c_union(c_Message_Osynth(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy, v_evsf))), c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy, v_evsf)), tc_Message_Omsg), tc_Message_Omsg)))) <=> ((~![V_c: $i, T_a: $i, V_B: $i, V_A: $i] : (c_in(V_c, V_A, T_a) | c_in(V_c, V_B, 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_A), c_Message_Omsg_OMPair(v_NA, c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A), c_Message_Omsg_OAgent(v_B)))), c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy, v_evsf)), tc_Message_Omsg) | c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_A), c_Message_Omsg_OMPair(v_NA, c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A), c_Message_Omsg_OAgent(v_B)))), c_Message_Osynth(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy, v_evsf))), tc_Message_Omsg) | (~c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_A), c_Message_Omsg_OMPair(v_NA, c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A), c_Message_Omsg_OAgent(v_B)))), c_union(c_Message_Osynth(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy, v_evsf))), c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy, v_evsf)), tc_Message_Omsg), tc_Message_Omsg)))),
% 0.20/0.40 inference(rewrite,[status(thm)],[])).
% 0.20/0.40 tff(66,plain,
% 0.20/0.40 ((c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_A), c_Message_Omsg_OMPair(v_NA, c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A), c_Message_Omsg_OAgent(v_B)))), c_Message_Osynth(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy, v_evsf))), tc_Message_Omsg) | c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_A), c_Message_Omsg_OMPair(v_NA, c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A), c_Message_Omsg_OAgent(v_B)))), c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy, v_evsf)), tc_Message_Omsg) | (~c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_A), c_Message_Omsg_OMPair(v_NA, c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A), c_Message_Omsg_OAgent(v_B)))), c_union(c_Message_Osynth(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy, v_evsf))), c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy, v_evsf)), tc_Message_Omsg), tc_Message_Omsg))) <=> (c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_A), c_Message_Omsg_OMPair(v_NA, c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A), c_Message_Omsg_OAgent(v_B)))), c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy, v_evsf)), tc_Message_Omsg) | c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_A), c_Message_Omsg_OMPair(v_NA, c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A), c_Message_Omsg_OAgent(v_B)))), c_Message_Osynth(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy, v_evsf))), tc_Message_Omsg) | (~c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_A), c_Message_Omsg_OMPair(v_NA, c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A), c_Message_Omsg_OAgent(v_B)))), c_union(c_Message_Osynth(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy, v_evsf))), c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy, v_evsf)), tc_Message_Omsg), tc_Message_Omsg)))),
% 0.20/0.41 inference(rewrite,[status(thm)],[])).
% 0.20/0.41 tff(67,plain,
% 0.20/0.41 (((~![V_c: $i, T_a: $i, V_B: $i, V_A: $i] : (c_in(V_c, V_A, T_a) | c_in(V_c, V_B, 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_A), c_Message_Omsg_OMPair(v_NA, c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A), c_Message_Omsg_OAgent(v_B)))), c_Message_Osynth(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy, v_evsf))), tc_Message_Omsg) | c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_A), c_Message_Omsg_OMPair(v_NA, c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A), c_Message_Omsg_OAgent(v_B)))), c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy, v_evsf)), tc_Message_Omsg) | (~c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_A), c_Message_Omsg_OMPair(v_NA, c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A), c_Message_Omsg_OAgent(v_B)))), c_union(c_Message_Osynth(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy, v_evsf))), c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy, v_evsf)), tc_Message_Omsg), tc_Message_Omsg)))) <=> ((~![V_c: $i, T_a: $i, V_B: $i, V_A: $i] : (c_in(V_c, V_A, T_a) | c_in(V_c, V_B, 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_A), c_Message_Omsg_OMPair(v_NA, c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A), c_Message_Omsg_OAgent(v_B)))), c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy, v_evsf)), tc_Message_Omsg) | c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_A), c_Message_Omsg_OMPair(v_NA, c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A), c_Message_Omsg_OAgent(v_B)))), c_Message_Osynth(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy, v_evsf))), tc_Message_Omsg) | (~c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_A), c_Message_Omsg_OMPair(v_NA, c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A), c_Message_Omsg_OAgent(v_B)))), c_union(c_Message_Osynth(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy, v_evsf))), c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy, v_evsf)), tc_Message_Omsg), tc_Message_Omsg))))),
% 0.20/0.41 inference(monotonicity,[status(thm)],[66])).
% 0.20/0.41 tff(68,plain,
% 0.20/0.41 (((~![V_c: $i, T_a: $i, V_B: $i, V_A: $i] : (c_in(V_c, V_A, T_a) | c_in(V_c, V_B, 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_A), c_Message_Omsg_OMPair(v_NA, c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A), c_Message_Omsg_OAgent(v_B)))), c_Message_Osynth(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy, v_evsf))), tc_Message_Omsg) | c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_A), c_Message_Omsg_OMPair(v_NA, c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A), c_Message_Omsg_OAgent(v_B)))), c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy, v_evsf)), tc_Message_Omsg) | (~c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_A), c_Message_Omsg_OMPair(v_NA, c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A), c_Message_Omsg_OAgent(v_B)))), c_union(c_Message_Osynth(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy, v_evsf))), c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy, v_evsf)), tc_Message_Omsg), tc_Message_Omsg)))) <=> ((~![V_c: $i, T_a: $i, V_B: $i, V_A: $i] : (c_in(V_c, V_A, T_a) | c_in(V_c, V_B, 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_A), c_Message_Omsg_OMPair(v_NA, c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A), c_Message_Omsg_OAgent(v_B)))), c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy, v_evsf)), tc_Message_Omsg) | c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_A), c_Message_Omsg_OMPair(v_NA, c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A), c_Message_Omsg_OAgent(v_B)))), c_Message_Osynth(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy, v_evsf))), tc_Message_Omsg) | (~c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_A), c_Message_Omsg_OMPair(v_NA, c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A), c_Message_Omsg_OAgent(v_B)))), c_union(c_Message_Osynth(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy, v_evsf))), c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy, v_evsf)), tc_Message_Omsg), tc_Message_Omsg)))),
% 0.20/0.41 inference(transitivity,[status(thm)],[67, 65])).
% 0.20/0.41 tff(69,plain,
% 0.20/0.41 ((~![V_c: $i, T_a: $i, V_B: $i, V_A: $i] : (c_in(V_c, V_A, T_a) | c_in(V_c, V_B, 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_A), c_Message_Omsg_OMPair(v_NA, c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A), c_Message_Omsg_OAgent(v_B)))), c_Message_Osynth(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy, v_evsf))), tc_Message_Omsg) | c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_A), c_Message_Omsg_OMPair(v_NA, c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A), c_Message_Omsg_OAgent(v_B)))), c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy, v_evsf)), tc_Message_Omsg) | (~c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_A), c_Message_Omsg_OMPair(v_NA, c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A), c_Message_Omsg_OAgent(v_B)))), c_union(c_Message_Osynth(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy, v_evsf))), c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy, v_evsf)), tc_Message_Omsg), tc_Message_Omsg)))),
% 0.20/0.41 inference(quant_inst,[status(thm)],[])).
% 0.20/0.41 tff(70,plain,
% 0.20/0.41 ((~![V_c: $i, T_a: $i, V_B: $i, V_A: $i] : (c_in(V_c, V_A, T_a) | c_in(V_c, V_B, 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_A), c_Message_Omsg_OMPair(v_NA, c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A), c_Message_Omsg_OAgent(v_B)))), c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy, v_evsf)), tc_Message_Omsg) | c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_A), c_Message_Omsg_OMPair(v_NA, c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A), c_Message_Omsg_OAgent(v_B)))), c_Message_Osynth(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy, v_evsf))), tc_Message_Omsg) | (~c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_A), c_Message_Omsg_OMPair(v_NA, c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A), c_Message_Omsg_OAgent(v_B)))), c_union(c_Message_Osynth(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy, v_evsf))), c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy, v_evsf)), tc_Message_Omsg), tc_Message_Omsg))),
% 0.20/0.41 inference(modus_ponens,[status(thm)],[69, 68])).
% 0.20/0.41 tff(71,plain,
% 0.20/0.41 (c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_A), c_Message_Omsg_OMPair(v_NA, c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A), c_Message_Omsg_OAgent(v_B)))), c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy, v_evsf)), tc_Message_Omsg) | c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_A), c_Message_Omsg_OMPair(v_NA, c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A), c_Message_Omsg_OAgent(v_B)))), c_Message_Osynth(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy, v_evsf))), tc_Message_Omsg)),
% 0.20/0.41 inference(unit_resolution,[status(thm)],[70, 64, 54])).
% 0.20/0.41 tff(72,plain,
% 0.20/0.41 (c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_A), c_Message_Omsg_OMPair(v_NA, c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A), c_Message_Omsg_OAgent(v_B)))), c_Message_Osynth(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy, v_evsf))), tc_Message_Omsg)),
% 0.20/0.41 inference(unit_resolution,[status(thm)],[71, 34])).
% 0.20/0.41 tff(73,plain,
% 0.20/0.41 (^[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))))),
% 0.20/0.41 inference(bind,[status(th)],[])).
% 0.20/0.41 tff(74,plain,
% 0.20/0.41 (![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)))),
% 0.20/0.41 inference(quant_intro,[status(thm)],[73])).
% 0.20/0.41 tff(75,plain,
% 0.20/0.41 (![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)))),
% 0.20/0.41 inference(rewrite,[status(thm)],[])).
% 0.20/0.41 tff(76,plain,
% 0.20/0.41 (^[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))))),
% 0.20/0.41 inference(bind,[status(th)],[])).
% 0.20/0.41 tff(77,plain,
% 0.20/0.41 (![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)))),
% 0.20/0.41 inference(quant_intro,[status(thm)],[76])).
% 0.20/0.41 tff(78,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/sandbox2/benchmark/theBenchmark.p','cls_Message_OCrypt__synth_0')).
% 0.20/0.41 tff(79,plain,
% 0.20/0.41 (![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)))),
% 0.20/0.41 inference(modus_ponens,[status(thm)],[78, 77])).
% 0.20/0.41 tff(80,plain,
% 0.20/0.41 (![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)))),
% 0.20/0.41 inference(modus_ponens,[status(thm)],[79, 75])).
% 0.20/0.41 tff(81,plain,(
% 0.20/0.41 ![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)))),
% 0.20/0.41 inference(skolemize,[status(sab)],[80])).
% 0.20/0.41 tff(82,plain,
% 0.20/0.41 (![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)))),
% 0.20/0.41 inference(modus_ponens,[status(thm)],[81, 74])).
% 0.20/0.41 tff(83,plain,
% 0.20/0.41 (((~![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_A)), c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy, v_evsf)), tc_Message_Omsg) | c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_A), c_Message_Omsg_OMPair(v_NA, c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A), c_Message_Omsg_OAgent(v_B)))), c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy, v_evsf)), tc_Message_Omsg) | (~c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_A), c_Message_Omsg_OMPair(v_NA, c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A), c_Message_Omsg_OAgent(v_B)))), c_Message_Osynth(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy, v_evsf))), 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_OKey(c_Public_OshrK(v_A)), c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy, v_evsf)), tc_Message_Omsg) | c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_A), c_Message_Omsg_OMPair(v_NA, c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A), c_Message_Omsg_OAgent(v_B)))), c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy, v_evsf)), tc_Message_Omsg) | (~c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_A), c_Message_Omsg_OMPair(v_NA, c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A), c_Message_Omsg_OAgent(v_B)))), c_Message_Osynth(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy, v_evsf))), tc_Message_Omsg)))),
% 0.20/0.41 inference(rewrite,[status(thm)],[])).
% 0.20/0.41 tff(84,plain,
% 0.20/0.41 ((~![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_A)), c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy, v_evsf)), tc_Message_Omsg) | c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_A), c_Message_Omsg_OMPair(v_NA, c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A), c_Message_Omsg_OAgent(v_B)))), c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy, v_evsf)), tc_Message_Omsg) | (~c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_A), c_Message_Omsg_OMPair(v_NA, c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A), c_Message_Omsg_OAgent(v_B)))), c_Message_Osynth(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy, v_evsf))), tc_Message_Omsg)))),
% 0.20/0.41 inference(quant_inst,[status(thm)],[])).
% 0.20/0.41 tff(85,plain,
% 0.20/0.41 ((~![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_A)), c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy, v_evsf)), tc_Message_Omsg) | c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_A), c_Message_Omsg_OMPair(v_NA, c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A), c_Message_Omsg_OAgent(v_B)))), c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy, v_evsf)), tc_Message_Omsg) | (~c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_A), c_Message_Omsg_OMPair(v_NA, c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A), c_Message_Omsg_OAgent(v_B)))), c_Message_Osynth(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy, v_evsf))), tc_Message_Omsg))),
% 0.20/0.42 inference(modus_ponens,[status(thm)],[84, 83])).
% 0.20/0.42 tff(86,plain,
% 0.20/0.42 (c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_A), c_Message_Omsg_OMPair(v_NA, c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A), c_Message_Omsg_OAgent(v_B)))), c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy, v_evsf)), tc_Message_Omsg)),
% 0.20/0.42 inference(unit_resolution,[status(thm)],[85, 82, 72, 33])).
% 0.20/0.42 tff(87,plain,
% 0.20/0.42 (((~![V_c: $i, V_H: $i] : ((~c_in(V_c, c_Message_Oanalz(V_H), tc_Message_Omsg)) | c_in(V_c, c_Message_Oparts(V_H), tc_Message_Omsg))) | ((~c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_A), c_Message_Omsg_OMPair(v_NA, c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A), c_Message_Omsg_OAgent(v_B)))), c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy, v_evsf)), tc_Message_Omsg)) | c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_A), c_Message_Omsg_OMPair(v_NA, c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A), c_Message_Omsg_OAgent(v_B)))), c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy, v_evsf)), tc_Message_Omsg))) <=> ((~![V_c: $i, V_H: $i] : ((~c_in(V_c, c_Message_Oanalz(V_H), tc_Message_Omsg)) | c_in(V_c, c_Message_Oparts(V_H), tc_Message_Omsg))) | (~c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_A), c_Message_Omsg_OMPair(v_NA, c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A), c_Message_Omsg_OAgent(v_B)))), c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy, v_evsf)), tc_Message_Omsg)) | c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_A), c_Message_Omsg_OMPair(v_NA, c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A), c_Message_Omsg_OAgent(v_B)))), c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy, v_evsf)), tc_Message_Omsg))),
% 0.20/0.42 inference(rewrite,[status(thm)],[])).
% 0.20/0.42 tff(88,plain,
% 0.20/0.42 ((~![V_c: $i, V_H: $i] : ((~c_in(V_c, c_Message_Oanalz(V_H), tc_Message_Omsg)) | c_in(V_c, c_Message_Oparts(V_H), tc_Message_Omsg))) | ((~c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_A), c_Message_Omsg_OMPair(v_NA, c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A), c_Message_Omsg_OAgent(v_B)))), c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy, v_evsf)), tc_Message_Omsg)) | c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_A), c_Message_Omsg_OMPair(v_NA, c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A), c_Message_Omsg_OAgent(v_B)))), c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy, v_evsf)), tc_Message_Omsg))),
% 0.20/0.42 inference(quant_inst,[status(thm)],[])).
% 0.20/0.42 tff(89,plain,
% 0.20/0.42 ((~![V_c: $i, V_H: $i] : ((~c_in(V_c, c_Message_Oanalz(V_H), tc_Message_Omsg)) | c_in(V_c, c_Message_Oparts(V_H), tc_Message_Omsg))) | (~c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_A), c_Message_Omsg_OMPair(v_NA, c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A), c_Message_Omsg_OAgent(v_B)))), c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy, v_evsf)), tc_Message_Omsg)) | c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_A), c_Message_Omsg_OMPair(v_NA, c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A), c_Message_Omsg_OAgent(v_B)))), c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy, v_evsf)), tc_Message_Omsg)),
% 0.20/0.42 inference(modus_ponens,[status(thm)],[88, 87])).
% 0.20/0.42 tff(90,plain,
% 0.20/0.42 ($false),
% 0.20/0.42 inference(unit_resolution,[status(thm)],[89, 34, 29, 86])).
% 0.20/0.42 tff(91,plain,(c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_A), c_Message_Omsg_OMPair(v_NA, c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A), c_Message_Omsg_OAgent(v_B)))), c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy, v_evsf)), tc_Message_Omsg)), inference(lemma,lemma(discharge,[]))).
% 0.20/0.42 tff(92,plain,
% 0.20/0.42 (((~c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_A), c_Message_Omsg_OMPair(v_NA_H, c_Message_Omsg_OMPair(v_NA, c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A_H), c_Message_Omsg_OAgent(v_A))))), c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy, v_evsf)), tc_Message_Omsg)) | (~c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_A), c_Message_Omsg_OMPair(v_NA, c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A), c_Message_Omsg_OAgent(v_B)))), c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy, v_evsf)), tc_Message_Omsg))) <=> ((~c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_A), c_Message_Omsg_OMPair(v_NA_H, c_Message_Omsg_OMPair(v_NA, c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A_H), c_Message_Omsg_OAgent(v_A))))), c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy, v_evsf)), tc_Message_Omsg)) | (~c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_A), c_Message_Omsg_OMPair(v_NA, c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A), c_Message_Omsg_OAgent(v_B)))), c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy, v_evsf)), tc_Message_Omsg)))),
% 0.20/0.42 inference(rewrite,[status(thm)],[])).
% 0.20/0.42 tff(93,axiom,((~c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_A), c_Message_Omsg_OMPair(v_NA_H, c_Message_Omsg_OMPair(v_NA, c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A_H), c_Message_Omsg_OAgent(v_A))))), c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy, v_evsf)), tc_Message_Omsg)) | (~c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_A), c_Message_Omsg_OMPair(v_NA, c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A), c_Message_Omsg_OAgent(v_B)))), c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy, v_evsf)), tc_Message_Omsg))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','cls_conjecture_5')).
% 0.20/0.42 tff(94,plain,
% 0.20/0.42 ((~c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_A), c_Message_Omsg_OMPair(v_NA_H, c_Message_Omsg_OMPair(v_NA, c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A_H), c_Message_Omsg_OAgent(v_A))))), c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy, v_evsf)), tc_Message_Omsg)) | (~c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_A), c_Message_Omsg_OMPair(v_NA, c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A), c_Message_Omsg_OAgent(v_B)))), c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy, v_evsf)), tc_Message_Omsg))),
% 0.20/0.42 inference(modus_ponens,[status(thm)],[93, 92])).
% 0.20/0.42 tff(95,plain,
% 0.20/0.42 ((~c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_A), c_Message_Omsg_OMPair(v_NA_H, c_Message_Omsg_OMPair(v_NA, c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A_H), c_Message_Omsg_OAgent(v_A))))), c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy, v_evsf)), tc_Message_Omsg)) | (~c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_A), c_Message_Omsg_OMPair(v_NA, c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A), c_Message_Omsg_OAgent(v_B)))), c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy, v_evsf)), tc_Message_Omsg))),
% 0.20/0.42 inference(modus_ponens,[status(thm)],[94, 92])).
% 0.20/0.42 tff(96,plain,
% 0.20/0.42 ((~c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_A), c_Message_Omsg_OMPair(v_NA_H, c_Message_Omsg_OMPair(v_NA, c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A_H), c_Message_Omsg_OAgent(v_A))))), c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy, v_evsf)), tc_Message_Omsg)) | (~c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_A), c_Message_Omsg_OMPair(v_NA, c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A), c_Message_Omsg_OAgent(v_B)))), c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy, v_evsf)), tc_Message_Omsg))),
% 0.20/0.42 inference(modus_ponens,[status(thm)],[95, 92])).
% 0.20/0.42 tff(97,plain,
% 0.20/0.42 ((~c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_A), c_Message_Omsg_OMPair(v_NA_H, c_Message_Omsg_OMPair(v_NA, c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A_H), c_Message_Omsg_OAgent(v_A))))), c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy, v_evsf)), tc_Message_Omsg)) | (~c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_A), c_Message_Omsg_OMPair(v_NA, c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A), c_Message_Omsg_OAgent(v_B)))), c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy, v_evsf)), tc_Message_Omsg))),
% 0.20/0.42 inference(modus_ponens,[status(thm)],[96, 92])).
% 0.20/0.42 tff(98,plain,
% 0.20/0.42 ((~c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_A), c_Message_Omsg_OMPair(v_NA_H, c_Message_Omsg_OMPair(v_NA, c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A_H), c_Message_Omsg_OAgent(v_A))))), c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy, v_evsf)), tc_Message_Omsg)) | (~c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_A), c_Message_Omsg_OMPair(v_NA, c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A), c_Message_Omsg_OAgent(v_B)))), c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy, v_evsf)), tc_Message_Omsg))),
% 0.20/0.42 inference(modus_ponens,[status(thm)],[97, 92])).
% 0.20/0.42 tff(99,plain,
% 0.20/0.42 ((~c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_A), c_Message_Omsg_OMPair(v_NA_H, c_Message_Omsg_OMPair(v_NA, c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A_H), c_Message_Omsg_OAgent(v_A))))), c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy, v_evsf)), tc_Message_Omsg)) | (~c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_A), c_Message_Omsg_OMPair(v_NA, c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A), c_Message_Omsg_OAgent(v_B)))), c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy, v_evsf)), tc_Message_Omsg))),
% 0.20/0.42 inference(modus_ponens,[status(thm)],[98, 92])).
% 0.20/0.42 tff(100,plain,
% 0.20/0.42 ((~c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_A), c_Message_Omsg_OMPair(v_NA_H, c_Message_Omsg_OMPair(v_NA, c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A_H), c_Message_Omsg_OAgent(v_A))))), c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy, v_evsf)), tc_Message_Omsg)) | (~c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_A), c_Message_Omsg_OMPair(v_NA, c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A), c_Message_Omsg_OAgent(v_B)))), c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy, v_evsf)), tc_Message_Omsg))),
% 0.20/0.42 inference(modus_ponens,[status(thm)],[99, 92])).
% 0.20/0.42 tff(101,plain,
% 0.20/0.42 ((~c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_A), c_Message_Omsg_OMPair(v_NA_H, c_Message_Omsg_OMPair(v_NA, c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A_H), c_Message_Omsg_OAgent(v_A))))), c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy, v_evsf)), tc_Message_Omsg)) | (~c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_A), c_Message_Omsg_OMPair(v_NA, c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A), c_Message_Omsg_OAgent(v_B)))), c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy, v_evsf)), tc_Message_Omsg))),
% 0.20/0.42 inference(modus_ponens,[status(thm)],[100, 92])).
% 0.20/0.42 tff(102,plain,
% 0.20/0.42 (~c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_A), c_Message_Omsg_OMPair(v_NA_H, c_Message_Omsg_OMPair(v_NA, c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A_H), c_Message_Omsg_OAgent(v_A))))), c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy, v_evsf)), tc_Message_Omsg)),
% 0.20/0.42 inference(unit_resolution,[status(thm)],[101, 91])).
% 0.20/0.42 tff(103,plain,
% 0.20/0.42 (c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_A), c_Message_Omsg_OMPair(v_NA_H, c_Message_Omsg_OMPair(v_NA, c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A_H), c_Message_Omsg_OAgent(v_A))))), c_Message_Oparts(c_insert(v_X, c_Event_Oknows(c_Message_Oagent_OSpy, v_evsf), tc_Message_Omsg)), tc_Message_Omsg) <=> c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_A), c_Message_Omsg_OMPair(v_NA_H, c_Message_Omsg_OMPair(v_NA, c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A_H), c_Message_Omsg_OAgent(v_A))))), c_Message_Oparts(c_insert(v_X, c_Event_Oknows(c_Message_Oagent_OSpy, v_evsf), tc_Message_Omsg)), tc_Message_Omsg)),
% 0.20/0.42 inference(rewrite,[status(thm)],[])).
% 0.20/0.42 tff(104,axiom,(c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_A), c_Message_Omsg_OMPair(v_NA_H, c_Message_Omsg_OMPair(v_NA, c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A_H), c_Message_Omsg_OAgent(v_A))))), c_Message_Oparts(c_insert(v_X, c_Event_Oknows(c_Message_Oagent_OSpy, v_evsf), tc_Message_Omsg)), tc_Message_Omsg)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','cls_conjecture_4')).
% 0.20/0.42 tff(105,plain,
% 0.20/0.42 (c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_A), c_Message_Omsg_OMPair(v_NA_H, c_Message_Omsg_OMPair(v_NA, c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A_H), c_Message_Omsg_OAgent(v_A))))), c_Message_Oparts(c_insert(v_X, c_Event_Oknows(c_Message_Oagent_OSpy, v_evsf), tc_Message_Omsg)), tc_Message_Omsg)),
% 0.20/0.42 inference(modus_ponens,[status(thm)],[104, 103])).
% 0.20/0.42 tff(106,plain,
% 0.20/0.42 (((~![V_Z: $i, V_H: $i, V_X: $i] : (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_X, c_Message_Osynth(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy, v_evsf))), tc_Message_Omsg)) | c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_A), c_Message_Omsg_OMPair(v_NA_H, c_Message_Omsg_OMPair(v_NA, c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A_H), c_Message_Omsg_OAgent(v_A))))), c_union(c_Message_Osynth(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy, v_evsf))), c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy, v_evsf)), tc_Message_Omsg), tc_Message_Omsg) | (~c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_A), c_Message_Omsg_OMPair(v_NA_H, c_Message_Omsg_OMPair(v_NA, c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A_H), c_Message_Omsg_OAgent(v_A))))), c_Message_Oparts(c_insert(v_X, c_Event_Oknows(c_Message_Oagent_OSpy, v_evsf), tc_Message_Omsg)), tc_Message_Omsg)))) <=> ((~![V_Z: $i, V_H: $i, V_X: $i] : (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_X, c_Message_Osynth(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy, v_evsf))), tc_Message_Omsg)) | c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_A), c_Message_Omsg_OMPair(v_NA_H, c_Message_Omsg_OMPair(v_NA, c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A_H), c_Message_Omsg_OAgent(v_A))))), c_union(c_Message_Osynth(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy, v_evsf))), c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy, v_evsf)), tc_Message_Omsg), tc_Message_Omsg) | (~c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_A), c_Message_Omsg_OMPair(v_NA_H, c_Message_Omsg_OMPair(v_NA, c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A_H), c_Message_Omsg_OAgent(v_A))))), c_Message_Oparts(c_insert(v_X, c_Event_Oknows(c_Message_Oagent_OSpy, v_evsf), tc_Message_Omsg)), tc_Message_Omsg)))),
% 0.20/0.42 inference(rewrite,[status(thm)],[])).
% 0.20/0.42 tff(107,plain,
% 0.20/0.42 ((c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_A), c_Message_Omsg_OMPair(v_NA_H, c_Message_Omsg_OMPair(v_NA, c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A_H), c_Message_Omsg_OAgent(v_A))))), c_union(c_Message_Osynth(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy, v_evsf))), c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy, v_evsf)), tc_Message_Omsg), tc_Message_Omsg) | (~c_in(v_X, c_Message_Osynth(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy, v_evsf))), tc_Message_Omsg)) | (~c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_A), c_Message_Omsg_OMPair(v_NA_H, c_Message_Omsg_OMPair(v_NA, c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A_H), c_Message_Omsg_OAgent(v_A))))), c_Message_Oparts(c_insert(v_X, c_Event_Oknows(c_Message_Oagent_OSpy, v_evsf), tc_Message_Omsg)), tc_Message_Omsg))) <=> ((~c_in(v_X, c_Message_Osynth(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy, v_evsf))), tc_Message_Omsg)) | c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_A), c_Message_Omsg_OMPair(v_NA_H, c_Message_Omsg_OMPair(v_NA, c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A_H), c_Message_Omsg_OAgent(v_A))))), c_union(c_Message_Osynth(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy, v_evsf))), c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy, v_evsf)), tc_Message_Omsg), tc_Message_Omsg) | (~c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_A), c_Message_Omsg_OMPair(v_NA_H, c_Message_Omsg_OMPair(v_NA, c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A_H), c_Message_Omsg_OAgent(v_A))))), c_Message_Oparts(c_insert(v_X, c_Event_Oknows(c_Message_Oagent_OSpy, v_evsf), tc_Message_Omsg)), tc_Message_Omsg)))),
% 0.20/0.42 inference(rewrite,[status(thm)],[])).
% 0.20/0.42 tff(108,plain,
% 0.20/0.42 (((~![V_Z: $i, V_H: $i, V_X: $i] : (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(c_Message_Omsg_OCrypt(c_Public_OshrK(v_A), c_Message_Omsg_OMPair(v_NA_H, c_Message_Omsg_OMPair(v_NA, c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A_H), c_Message_Omsg_OAgent(v_A))))), c_union(c_Message_Osynth(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy, v_evsf))), c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy, v_evsf)), tc_Message_Omsg), tc_Message_Omsg) | (~c_in(v_X, c_Message_Osynth(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy, v_evsf))), tc_Message_Omsg)) | (~c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_A), c_Message_Omsg_OMPair(v_NA_H, c_Message_Omsg_OMPair(v_NA, c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A_H), c_Message_Omsg_OAgent(v_A))))), c_Message_Oparts(c_insert(v_X, c_Event_Oknows(c_Message_Oagent_OSpy, v_evsf), tc_Message_Omsg)), tc_Message_Omsg)))) <=> ((~![V_Z: $i, V_H: $i, V_X: $i] : (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_X, c_Message_Osynth(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy, v_evsf))), tc_Message_Omsg)) | c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_A), c_Message_Omsg_OMPair(v_NA_H, c_Message_Omsg_OMPair(v_NA, c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A_H), c_Message_Omsg_OAgent(v_A))))), c_union(c_Message_Osynth(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy, v_evsf))), c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy, v_evsf)), tc_Message_Omsg), tc_Message_Omsg) | (~c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_A), c_Message_Omsg_OMPair(v_NA_H, c_Message_Omsg_OMPair(v_NA, c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A_H), c_Message_Omsg_OAgent(v_A))))), c_Message_Oparts(c_insert(v_X, c_Event_Oknows(c_Message_Oagent_OSpy, v_evsf), tc_Message_Omsg)), tc_Message_Omsg))))),
% 0.20/0.43 inference(monotonicity,[status(thm)],[107])).
% 0.20/0.43 tff(109,plain,
% 0.20/0.43 (((~![V_Z: $i, V_H: $i, V_X: $i] : (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(c_Message_Omsg_OCrypt(c_Public_OshrK(v_A), c_Message_Omsg_OMPair(v_NA_H, c_Message_Omsg_OMPair(v_NA, c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A_H), c_Message_Omsg_OAgent(v_A))))), c_union(c_Message_Osynth(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy, v_evsf))), c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy, v_evsf)), tc_Message_Omsg), tc_Message_Omsg) | (~c_in(v_X, c_Message_Osynth(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy, v_evsf))), tc_Message_Omsg)) | (~c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_A), c_Message_Omsg_OMPair(v_NA_H, c_Message_Omsg_OMPair(v_NA, c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A_H), c_Message_Omsg_OAgent(v_A))))), c_Message_Oparts(c_insert(v_X, c_Event_Oknows(c_Message_Oagent_OSpy, v_evsf), tc_Message_Omsg)), tc_Message_Omsg)))) <=> ((~![V_Z: $i, V_H: $i, V_X: $i] : (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_X, c_Message_Osynth(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy, v_evsf))), tc_Message_Omsg)) | c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_A), c_Message_Omsg_OMPair(v_NA_H, c_Message_Omsg_OMPair(v_NA, c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A_H), c_Message_Omsg_OAgent(v_A))))), c_union(c_Message_Osynth(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy, v_evsf))), c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy, v_evsf)), tc_Message_Omsg), tc_Message_Omsg) | (~c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_A), c_Message_Omsg_OMPair(v_NA_H, c_Message_Omsg_OMPair(v_NA, c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A_H), c_Message_Omsg_OAgent(v_A))))), c_Message_Oparts(c_insert(v_X, c_Event_Oknows(c_Message_Oagent_OSpy, v_evsf), tc_Message_Omsg)), tc_Message_Omsg)))),
% 0.20/0.43 inference(transitivity,[status(thm)],[108, 106])).
% 0.20/0.43 tff(110,plain,
% 0.20/0.43 ((~![V_Z: $i, V_H: $i, V_X: $i] : (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(c_Message_Omsg_OCrypt(c_Public_OshrK(v_A), c_Message_Omsg_OMPair(v_NA_H, c_Message_Omsg_OMPair(v_NA, c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A_H), c_Message_Omsg_OAgent(v_A))))), c_union(c_Message_Osynth(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy, v_evsf))), c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy, v_evsf)), tc_Message_Omsg), tc_Message_Omsg) | (~c_in(v_X, c_Message_Osynth(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy, v_evsf))), tc_Message_Omsg)) | (~c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_A), c_Message_Omsg_OMPair(v_NA_H, c_Message_Omsg_OMPair(v_NA, c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A_H), c_Message_Omsg_OAgent(v_A))))), c_Message_Oparts(c_insert(v_X, c_Event_Oknows(c_Message_Oagent_OSpy, v_evsf), tc_Message_Omsg)), tc_Message_Omsg)))),
% 0.20/0.43 inference(quant_inst,[status(thm)],[])).
% 0.20/0.43 tff(111,plain,
% 0.20/0.43 ((~![V_Z: $i, V_H: $i, V_X: $i] : (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_X, c_Message_Osynth(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy, v_evsf))), tc_Message_Omsg)) | c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_A), c_Message_Omsg_OMPair(v_NA_H, c_Message_Omsg_OMPair(v_NA, c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A_H), c_Message_Omsg_OAgent(v_A))))), c_union(c_Message_Osynth(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy, v_evsf))), c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy, v_evsf)), tc_Message_Omsg), tc_Message_Omsg) | (~c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_A), c_Message_Omsg_OMPair(v_NA_H, c_Message_Omsg_OMPair(v_NA, c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A_H), c_Message_Omsg_OAgent(v_A))))), c_Message_Oparts(c_insert(v_X, c_Event_Oknows(c_Message_Oagent_OSpy, v_evsf), tc_Message_Omsg)), tc_Message_Omsg))),
% 0.20/0.43 inference(modus_ponens,[status(thm)],[110, 109])).
% 0.20/0.43 tff(112,plain,
% 0.20/0.43 (c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_A), c_Message_Omsg_OMPair(v_NA_H, c_Message_Omsg_OMPair(v_NA, c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A_H), c_Message_Omsg_OAgent(v_A))))), c_union(c_Message_Osynth(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy, v_evsf))), c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy, v_evsf)), tc_Message_Omsg), tc_Message_Omsg)),
% 0.20/0.43 inference(unit_resolution,[status(thm)],[111, 50, 105, 44])).
% 0.20/0.43 tff(113,plain,
% 0.20/0.43 (((~![V_c: $i, T_a: $i, V_B: $i, V_A: $i] : (c_in(V_c, V_A, T_a) | c_in(V_c, V_B, 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_A), c_Message_Omsg_OMPair(v_NA_H, c_Message_Omsg_OMPair(v_NA, c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A_H), c_Message_Omsg_OAgent(v_A))))), c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy, v_evsf)), tc_Message_Omsg) | c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_A), c_Message_Omsg_OMPair(v_NA_H, c_Message_Omsg_OMPair(v_NA, c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A_H), c_Message_Omsg_OAgent(v_A))))), c_Message_Osynth(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy, v_evsf))), tc_Message_Omsg) | (~c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_A), c_Message_Omsg_OMPair(v_NA_H, c_Message_Omsg_OMPair(v_NA, c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A_H), c_Message_Omsg_OAgent(v_A))))), c_union(c_Message_Osynth(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy, v_evsf))), c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy, v_evsf)), tc_Message_Omsg), tc_Message_Omsg)))) <=> ((~![V_c: $i, T_a: $i, V_B: $i, V_A: $i] : (c_in(V_c, V_A, T_a) | c_in(V_c, V_B, 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_A), c_Message_Omsg_OMPair(v_NA_H, c_Message_Omsg_OMPair(v_NA, c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A_H), c_Message_Omsg_OAgent(v_A))))), c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy, v_evsf)), tc_Message_Omsg) | c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_A), c_Message_Omsg_OMPair(v_NA_H, c_Message_Omsg_OMPair(v_NA, c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A_H), c_Message_Omsg_OAgent(v_A))))), c_Message_Osynth(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy, v_evsf))), tc_Message_Omsg) | (~c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_A), c_Message_Omsg_OMPair(v_NA_H, c_Message_Omsg_OMPair(v_NA, c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A_H), c_Message_Omsg_OAgent(v_A))))), c_union(c_Message_Osynth(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy, v_evsf))), c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy, v_evsf)), tc_Message_Omsg), tc_Message_Omsg)))),
% 0.20/0.43 inference(rewrite,[status(thm)],[])).
% 0.20/0.43 tff(114,plain,
% 0.20/0.43 ((c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_A), c_Message_Omsg_OMPair(v_NA_H, c_Message_Omsg_OMPair(v_NA, c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A_H), c_Message_Omsg_OAgent(v_A))))), c_Message_Osynth(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy, v_evsf))), tc_Message_Omsg) | c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_A), c_Message_Omsg_OMPair(v_NA_H, c_Message_Omsg_OMPair(v_NA, c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A_H), c_Message_Omsg_OAgent(v_A))))), c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy, v_evsf)), tc_Message_Omsg) | (~c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_A), c_Message_Omsg_OMPair(v_NA_H, c_Message_Omsg_OMPair(v_NA, c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A_H), c_Message_Omsg_OAgent(v_A))))), c_union(c_Message_Osynth(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy, v_evsf))), c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy, v_evsf)), tc_Message_Omsg), tc_Message_Omsg))) <=> (c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_A), c_Message_Omsg_OMPair(v_NA_H, c_Message_Omsg_OMPair(v_NA, c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A_H), c_Message_Omsg_OAgent(v_A))))), c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy, v_evsf)), tc_Message_Omsg) | c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_A), c_Message_Omsg_OMPair(v_NA_H, c_Message_Omsg_OMPair(v_NA, c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A_H), c_Message_Omsg_OAgent(v_A))))), c_Message_Osynth(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy, v_evsf))), tc_Message_Omsg) | (~c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_A), c_Message_Omsg_OMPair(v_NA_H, c_Message_Omsg_OMPair(v_NA, c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A_H), c_Message_Omsg_OAgent(v_A))))), c_union(c_Message_Osynth(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy, v_evsf))), c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy, v_evsf)), tc_Message_Omsg), tc_Message_Omsg)))),
% 0.20/0.43 inference(rewrite,[status(thm)],[])).
% 0.20/0.43 tff(115,plain,
% 0.20/0.43 (((~![V_c: $i, T_a: $i, V_B: $i, V_A: $i] : (c_in(V_c, V_A, T_a) | c_in(V_c, V_B, 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_A), c_Message_Omsg_OMPair(v_NA_H, c_Message_Omsg_OMPair(v_NA, c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A_H), c_Message_Omsg_OAgent(v_A))))), c_Message_Osynth(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy, v_evsf))), tc_Message_Omsg) | c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_A), c_Message_Omsg_OMPair(v_NA_H, c_Message_Omsg_OMPair(v_NA, c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A_H), c_Message_Omsg_OAgent(v_A))))), c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy, v_evsf)), tc_Message_Omsg) | (~c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_A), c_Message_Omsg_OMPair(v_NA_H, c_Message_Omsg_OMPair(v_NA, c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A_H), c_Message_Omsg_OAgent(v_A))))), c_union(c_Message_Osynth(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy, v_evsf))), c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy, v_evsf)), tc_Message_Omsg), tc_Message_Omsg)))) <=> ((~![V_c: $i, T_a: $i, V_B: $i, V_A: $i] : (c_in(V_c, V_A, T_a) | c_in(V_c, V_B, 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_A), c_Message_Omsg_OMPair(v_NA_H, c_Message_Omsg_OMPair(v_NA, c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A_H), c_Message_Omsg_OAgent(v_A))))), c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy, v_evsf)), tc_Message_Omsg) | c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_A), c_Message_Omsg_OMPair(v_NA_H, c_Message_Omsg_OMPair(v_NA, c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A_H), c_Message_Omsg_OAgent(v_A))))), c_Message_Osynth(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy, v_evsf))), tc_Message_Omsg) | (~c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_A), c_Message_Omsg_OMPair(v_NA_H, c_Message_Omsg_OMPair(v_NA, c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A_H), c_Message_Omsg_OAgent(v_A))))), c_union(c_Message_Osynth(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy, v_evsf))), c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy, v_evsf)), tc_Message_Omsg), tc_Message_Omsg))))),
% 0.20/0.43 inference(monotonicity,[status(thm)],[114])).
% 0.20/0.43 tff(116,plain,
% 0.20/0.43 (((~![V_c: $i, T_a: $i, V_B: $i, V_A: $i] : (c_in(V_c, V_A, T_a) | c_in(V_c, V_B, 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_A), c_Message_Omsg_OMPair(v_NA_H, c_Message_Omsg_OMPair(v_NA, c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A_H), c_Message_Omsg_OAgent(v_A))))), c_Message_Osynth(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy, v_evsf))), tc_Message_Omsg) | c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_A), c_Message_Omsg_OMPair(v_NA_H, c_Message_Omsg_OMPair(v_NA, c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A_H), c_Message_Omsg_OAgent(v_A))))), c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy, v_evsf)), tc_Message_Omsg) | (~c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_A), c_Message_Omsg_OMPair(v_NA_H, c_Message_Omsg_OMPair(v_NA, c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A_H), c_Message_Omsg_OAgent(v_A))))), c_union(c_Message_Osynth(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy, v_evsf))), c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy, v_evsf)), tc_Message_Omsg), tc_Message_Omsg)))) <=> ((~![V_c: $i, T_a: $i, V_B: $i, V_A: $i] : (c_in(V_c, V_A, T_a) | c_in(V_c, V_B, 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_A), c_Message_Omsg_OMPair(v_NA_H, c_Message_Omsg_OMPair(v_NA, c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A_H), c_Message_Omsg_OAgent(v_A))))), c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy, v_evsf)), tc_Message_Omsg) | c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_A), c_Message_Omsg_OMPair(v_NA_H, c_Message_Omsg_OMPair(v_NA, c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A_H), c_Message_Omsg_OAgent(v_A))))), c_Message_Osynth(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy, v_evsf))), tc_Message_Omsg) | (~c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_A), c_Message_Omsg_OMPair(v_NA_H, c_Message_Omsg_OMPair(v_NA, c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A_H), c_Message_Omsg_OAgent(v_A))))), c_union(c_Message_Osynth(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy, v_evsf))), c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy, v_evsf)), tc_Message_Omsg), tc_Message_Omsg)))),
% 0.20/0.43 inference(transitivity,[status(thm)],[115, 113])).
% 0.20/0.43 tff(117,plain,
% 0.20/0.43 ((~![V_c: $i, T_a: $i, V_B: $i, V_A: $i] : (c_in(V_c, V_A, T_a) | c_in(V_c, V_B, 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_A), c_Message_Omsg_OMPair(v_NA_H, c_Message_Omsg_OMPair(v_NA, c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A_H), c_Message_Omsg_OAgent(v_A))))), c_Message_Osynth(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy, v_evsf))), tc_Message_Omsg) | c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_A), c_Message_Omsg_OMPair(v_NA_H, c_Message_Omsg_OMPair(v_NA, c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A_H), c_Message_Omsg_OAgent(v_A))))), c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy, v_evsf)), tc_Message_Omsg) | (~c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_A), c_Message_Omsg_OMPair(v_NA_H, c_Message_Omsg_OMPair(v_NA, c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A_H), c_Message_Omsg_OAgent(v_A))))), c_union(c_Message_Osynth(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy, v_evsf))), c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy, v_evsf)), tc_Message_Omsg), tc_Message_Omsg)))),
% 0.20/0.44 inference(quant_inst,[status(thm)],[])).
% 0.20/0.44 tff(118,plain,
% 0.20/0.44 ((~![V_c: $i, T_a: $i, V_B: $i, V_A: $i] : (c_in(V_c, V_A, T_a) | c_in(V_c, V_B, 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_A), c_Message_Omsg_OMPair(v_NA_H, c_Message_Omsg_OMPair(v_NA, c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A_H), c_Message_Omsg_OAgent(v_A))))), c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy, v_evsf)), tc_Message_Omsg) | c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_A), c_Message_Omsg_OMPair(v_NA_H, c_Message_Omsg_OMPair(v_NA, c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A_H), c_Message_Omsg_OAgent(v_A))))), c_Message_Osynth(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy, v_evsf))), tc_Message_Omsg) | (~c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_A), c_Message_Omsg_OMPair(v_NA_H, c_Message_Omsg_OMPair(v_NA, c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A_H), c_Message_Omsg_OAgent(v_A))))), c_union(c_Message_Osynth(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy, v_evsf))), c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy, v_evsf)), tc_Message_Omsg), tc_Message_Omsg))),
% 0.20/0.44 inference(modus_ponens,[status(thm)],[117, 116])).
% 0.20/0.44 tff(119,plain,
% 0.20/0.44 (c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_A), c_Message_Omsg_OMPair(v_NA_H, c_Message_Omsg_OMPair(v_NA, c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A_H), c_Message_Omsg_OAgent(v_A))))), c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy, v_evsf)), tc_Message_Omsg) | c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_A), c_Message_Omsg_OMPair(v_NA_H, c_Message_Omsg_OMPair(v_NA, c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A_H), c_Message_Omsg_OAgent(v_A))))), c_Message_Osynth(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy, v_evsf))), tc_Message_Omsg)),
% 0.20/0.44 inference(unit_resolution,[status(thm)],[118, 64, 112])).
% 0.20/0.44 tff(120,plain,
% 0.20/0.44 (c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_A), c_Message_Omsg_OMPair(v_NA_H, c_Message_Omsg_OMPair(v_NA, c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A_H), c_Message_Omsg_OAgent(v_A))))), c_Message_Osynth(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy, v_evsf))), tc_Message_Omsg)),
% 0.20/0.44 inference(unit_resolution,[status(thm)],[119, 102])).
% 0.20/0.44 tff(121,plain,
% 0.20/0.44 (((~![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_A)), c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy, v_evsf)), tc_Message_Omsg) | c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_A), c_Message_Omsg_OMPair(v_NA_H, c_Message_Omsg_OMPair(v_NA, c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A_H), c_Message_Omsg_OAgent(v_A))))), c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy, v_evsf)), tc_Message_Omsg) | (~c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_A), c_Message_Omsg_OMPair(v_NA_H, c_Message_Omsg_OMPair(v_NA, c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A_H), c_Message_Omsg_OAgent(v_A))))), c_Message_Osynth(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy, v_evsf))), 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_OKey(c_Public_OshrK(v_A)), c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy, v_evsf)), tc_Message_Omsg) | c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_A), c_Message_Omsg_OMPair(v_NA_H, c_Message_Omsg_OMPair(v_NA, c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A_H), c_Message_Omsg_OAgent(v_A))))), c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy, v_evsf)), tc_Message_Omsg) | (~c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_A), c_Message_Omsg_OMPair(v_NA_H, c_Message_Omsg_OMPair(v_NA, c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A_H), c_Message_Omsg_OAgent(v_A))))), c_Message_Osynth(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy, v_evsf))), tc_Message_Omsg)))),
% 0.20/0.44 inference(rewrite,[status(thm)],[])).
% 0.20/0.44 tff(122,plain,
% 0.20/0.44 ((~![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_A)), c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy, v_evsf)), tc_Message_Omsg) | c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_A), c_Message_Omsg_OMPair(v_NA_H, c_Message_Omsg_OMPair(v_NA, c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A_H), c_Message_Omsg_OAgent(v_A))))), c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy, v_evsf)), tc_Message_Omsg) | (~c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_A), c_Message_Omsg_OMPair(v_NA_H, c_Message_Omsg_OMPair(v_NA, c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A_H), c_Message_Omsg_OAgent(v_A))))), c_Message_Osynth(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy, v_evsf))), tc_Message_Omsg)))),
% 0.20/0.44 inference(quant_inst,[status(thm)],[])).
% 0.20/0.44 tff(123,plain,
% 0.20/0.44 ((~![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_A)), c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy, v_evsf)), tc_Message_Omsg) | c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_A), c_Message_Omsg_OMPair(v_NA_H, c_Message_Omsg_OMPair(v_NA, c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A_H), c_Message_Omsg_OAgent(v_A))))), c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy, v_evsf)), tc_Message_Omsg) | (~c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_A), c_Message_Omsg_OMPair(v_NA_H, c_Message_Omsg_OMPair(v_NA, c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A_H), c_Message_Omsg_OAgent(v_A))))), c_Message_Osynth(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy, v_evsf))), tc_Message_Omsg))),
% 0.20/0.44 inference(modus_ponens,[status(thm)],[122, 121])).
% 0.20/0.44 tff(124,plain,
% 0.20/0.44 (c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_A), c_Message_Omsg_OMPair(v_NA_H, c_Message_Omsg_OMPair(v_NA, c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A_H), c_Message_Omsg_OAgent(v_A))))), c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy, v_evsf)), tc_Message_Omsg)),
% 0.20/0.44 inference(unit_resolution,[status(thm)],[123, 82, 120, 33])).
% 0.20/0.44 tff(125,plain,
% 0.20/0.44 (((~![V_c: $i, V_H: $i] : ((~c_in(V_c, c_Message_Oanalz(V_H), tc_Message_Omsg)) | c_in(V_c, c_Message_Oparts(V_H), tc_Message_Omsg))) | ((~c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_A), c_Message_Omsg_OMPair(v_NA_H, c_Message_Omsg_OMPair(v_NA, c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A_H), c_Message_Omsg_OAgent(v_A))))), c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy, v_evsf)), tc_Message_Omsg)) | c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_A), c_Message_Omsg_OMPair(v_NA_H, c_Message_Omsg_OMPair(v_NA, c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A_H), c_Message_Omsg_OAgent(v_A))))), c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy, v_evsf)), tc_Message_Omsg))) <=> ((~![V_c: $i, V_H: $i] : ((~c_in(V_c, c_Message_Oanalz(V_H), tc_Message_Omsg)) | c_in(V_c, c_Message_Oparts(V_H), tc_Message_Omsg))) | (~c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_A), c_Message_Omsg_OMPair(v_NA_H, c_Message_Omsg_OMPair(v_NA, c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A_H), c_Message_Omsg_OAgent(v_A))))), c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy, v_evsf)), tc_Message_Omsg)) | c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_A), c_Message_Omsg_OMPair(v_NA_H, c_Message_Omsg_OMPair(v_NA, c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A_H), c_Message_Omsg_OAgent(v_A))))), c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy, v_evsf)), tc_Message_Omsg))),
% 0.20/0.44 inference(rewrite,[status(thm)],[])).
% 0.20/0.44 tff(126,plain,
% 0.20/0.44 ((~![V_c: $i, V_H: $i] : ((~c_in(V_c, c_Message_Oanalz(V_H), tc_Message_Omsg)) | c_in(V_c, c_Message_Oparts(V_H), tc_Message_Omsg))) | ((~c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_A), c_Message_Omsg_OMPair(v_NA_H, c_Message_Omsg_OMPair(v_NA, c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A_H), c_Message_Omsg_OAgent(v_A))))), c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy, v_evsf)), tc_Message_Omsg)) | c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_A), c_Message_Omsg_OMPair(v_NA_H, c_Message_Omsg_OMPair(v_NA, c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A_H), c_Message_Omsg_OAgent(v_A))))), c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy, v_evsf)), tc_Message_Omsg))),
% 0.20/0.44 inference(quant_inst,[status(thm)],[])).
% 0.20/0.44 tff(127,plain,
% 0.20/0.44 ((~![V_c: $i, V_H: $i] : ((~c_in(V_c, c_Message_Oanalz(V_H), tc_Message_Omsg)) | c_in(V_c, c_Message_Oparts(V_H), tc_Message_Omsg))) | (~c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_A), c_Message_Omsg_OMPair(v_NA_H, c_Message_Omsg_OMPair(v_NA, c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A_H), c_Message_Omsg_OAgent(v_A))))), c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy, v_evsf)), tc_Message_Omsg)) | c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_A), c_Message_Omsg_OMPair(v_NA_H, c_Message_Omsg_OMPair(v_NA, c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A_H), c_Message_Omsg_OAgent(v_A))))), c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy, v_evsf)), tc_Message_Omsg)),
% 0.20/0.44 inference(modus_ponens,[status(thm)],[126, 125])).
% 0.20/0.44 tff(128,plain,
% 0.20/0.44 ($false),
% 0.20/0.44 inference(unit_resolution,[status(thm)],[127, 102, 29, 124])).
% 0.20/0.44 % SZS output end Proof
%------------------------------------------------------------------------------