%------------------------------------------------------------------------------
% File : Z3---4.15.1
% Problem : SWV302-2 : TPTP v9.0.0. Released v3.2.0.
% Transfm : none
% Format : tptp
% Command : run_E %s %d THM
% 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 : Sat Jun 21 05:32:02 AM UTC 2025
% Result : Unsatisfiable 0.11s 0.36s
% Output : Proof 0.18s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.11 % Problem : SWV302-2 : TPTP v9.0.0. Released v3.2.0.
% 0.06/0.11 % Command : run_E %s %d THM
% 0.11/0.32 % Computer : n005.cluster.edu
% 0.11/0.32 % Model : x86_64 x86_64
% 0.11/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.32 % Memory : 8042.1875MB
% 0.11/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.32 % CPULimit : 300
% 0.11/0.32 % WCLimit : 300
% 0.11/0.32 % DateTime : Fri Jun 20 09:38:50 EDT 2025
% 0.11/0.32 % CPUTime :
% 0.11/0.36 % SZS status Unsatisfiable
% 0.11/0.36 % SZS output start Proof
% 0.11/0.36 tff(c_in_type, type, (
% 0.11/0.36 c_in: ( $i * $i * $i ) > $o)).
% 0.11/0.36 tff(tc_Message_Omsg_type, type, (
% 0.11/0.36 tc_Message_Omsg: $i)).
% 0.11/0.36 tff(c_Message_Oparts_type, type, (
% 0.11/0.36 c_Message_Oparts: $i > $i)).
% 0.11/0.36 tff(c_Event_Oknows_type, type, (
% 0.11/0.36 c_Event_Oknows: ( $i * $i ) > $i)).
% 0.11/0.36 tff(v_evs2_type, type, (
% 0.11/0.36 v_evs2: $i)).
% 0.11/0.36 tff(c_Message_Oagent_OSpy_type, type, (
% 0.11/0.36 c_Message_Oagent_OSpy: $i)).
% 0.11/0.36 tff(v_NB_type, type, (
% 0.11/0.36 v_NB: $i)).
% 0.11/0.36 tff(c_Message_Omsg_ONonce_type, type, (
% 0.11/0.36 c_Message_Omsg_ONonce: $i > $i)).
% 0.11/0.36 tff(v_NBa_type, type, (
% 0.11/0.36 v_NBa: $i)).
% 0.11/0.36 tff(tc_Event_Oevent_type, type, (
% 0.11/0.36 tc_Event_Oevent: $i)).
% 0.11/0.36 tff(c_List_Oset_type, type, (
% 0.11/0.36 c_List_Oset: ( $i * $i ) > $i)).
% 0.11/0.36 tff(c_Event_Oevent_OSays_type, type, (
% 0.11/0.36 c_Event_Oevent_OSays: ( $i * $i * $i ) > $i)).
% 0.11/0.36 tff(c_Message_Omsg_OMPair_type, type, (
% 0.11/0.36 c_Message_Omsg_OMPair: ( $i * $i ) > $i)).
% 0.11/0.36 tff(c_Message_Omsg_OCrypt_type, type, (
% 0.11/0.36 c_Message_Omsg_OCrypt: ( $i * $i ) > $i)).
% 0.11/0.36 tff(c_Message_Omsg_OAgent_type, type, (
% 0.11/0.36 c_Message_Omsg_OAgent: $i > $i)).
% 0.11/0.36 tff(v_B_type, type, (
% 0.11/0.36 v_B: $i)).
% 0.11/0.36 tff(v_A_type, type, (
% 0.11/0.36 v_A: $i)).
% 0.11/0.36 tff(v_NA_type, type, (
% 0.11/0.36 v_NA: $i)).
% 0.11/0.36 tff(c_Public_OshrK_type, type, (
% 0.11/0.36 c_Public_OshrK: $i > $i)).
% 0.11/0.36 tff(v_x_type, type, (
% 0.11/0.36 v_x: $i)).
% 0.11/0.36 tff(c_Message_Oagent_OServer_type, type, (
% 0.11/0.36 c_Message_Oagent_OServer: $i)).
% 0.11/0.36 tff(c_Message_Omsg_OKey_type, type, (
% 0.11/0.36 c_Message_Omsg_OKey: $i > $i)).
% 0.11/0.36 tff(v_K_type, type, (
% 0.11/0.36 v_K: $i)).
% 0.11/0.36 tff(c_Event_Oused_type, type, (
% 0.11/0.36 c_Event_Oused: $i > $i)).
% 0.11/0.36 tff(1,plain,
% 0.11/0.36 ((~c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer, v_B, c_Message_Omsg_OMPair(v_NA, c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(v_A), c_Message_Omsg_OMPair(v_NA, c_Message_Omsg_OKey(v_K))), c_Message_Omsg_OCrypt(c_Public_OshrK(v_B), c_Message_Omsg_OMPair(v_NB, c_Message_Omsg_OKey(v_K)))))), c_List_Oset(v_evs2, tc_Event_Oevent), tc_Event_Oevent)) <=> (~c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer, v_B, c_Message_Omsg_OMPair(v_NA, c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(v_A), c_Message_Omsg_OMPair(v_NA, c_Message_Omsg_OKey(v_K))), c_Message_Omsg_OCrypt(c_Public_OshrK(v_B), c_Message_Omsg_OMPair(v_NB, c_Message_Omsg_OKey(v_K)))))), c_List_Oset(v_evs2, tc_Event_Oevent), tc_Event_Oevent))),
% 0.11/0.36 inference(rewrite,[status(thm)],[])).
% 0.11/0.36 tff(2,axiom,(~c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer, v_B, c_Message_Omsg_OMPair(v_NA, c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(v_A), c_Message_Omsg_OMPair(v_NA, c_Message_Omsg_OKey(v_K))), c_Message_Omsg_OCrypt(c_Public_OshrK(v_B), c_Message_Omsg_OMPair(v_NB, c_Message_Omsg_OKey(v_K)))))), c_List_Oset(v_evs2, tc_Event_Oevent), tc_Event_Oevent)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','cls_conjecture_5')).
% 0.11/0.36 tff(3,plain,
% 0.11/0.36 (~c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer, v_B, c_Message_Omsg_OMPair(v_NA, c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(v_A), c_Message_Omsg_OMPair(v_NA, c_Message_Omsg_OKey(v_K))), c_Message_Omsg_OCrypt(c_Public_OshrK(v_B), c_Message_Omsg_OMPair(v_NB, c_Message_Omsg_OKey(v_K)))))), c_List_Oset(v_evs2, tc_Event_Oevent), tc_Event_Oevent)),
% 0.11/0.36 inference(modus_ponens,[status(thm)],[2, 1])).
% 0.11/0.36 tff(4,plain,
% 0.11/0.36 (c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_B), c_Message_Omsg_OMPair(v_NB, c_Message_Omsg_OKey(v_K))), c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy, v_evs2)), tc_Message_Omsg) <=> c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_B), c_Message_Omsg_OMPair(v_NB, c_Message_Omsg_OKey(v_K))), c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy, v_evs2)), tc_Message_Omsg)),
% 0.11/0.36 inference(rewrite,[status(thm)],[])).
% 0.11/0.36 tff(5,axiom,(c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_B), c_Message_Omsg_OMPair(v_NB, c_Message_Omsg_OKey(v_K))), c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy, v_evs2)), tc_Message_Omsg)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','cls_conjecture_4')).
% 0.11/0.36 tff(6,plain,
% 0.11/0.36 (c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_B), c_Message_Omsg_OMPair(v_NB, c_Message_Omsg_OKey(v_K))), c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy, v_evs2)), tc_Message_Omsg)),
% 0.11/0.36 inference(modus_ponens,[status(thm)],[5, 4])).
% 0.11/0.36 tff(7,plain,
% 0.11/0.36 (^[V_U: $i] : refl((c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer, v_B, c_Message_Omsg_OMPair(v_NA, c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(v_A), c_Message_Omsg_OMPair(v_NA, c_Message_Omsg_OKey(v_K))), c_Message_Omsg_OCrypt(c_Public_OshrK(v_B), c_Message_Omsg_OMPair(v_NB, c_Message_Omsg_OKey(v_K)))))), c_List_Oset(v_evs2, tc_Event_Oevent), tc_Event_Oevent) | (~c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_B), c_Message_Omsg_OMPair(v_NB, c_Message_Omsg_OKey(v_K))), c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy, v_evs2)), tc_Message_Omsg)) | (~c_in(c_Event_Oevent_OSays(v_B, c_Message_Oagent_OServer, c_Message_Omsg_OMPair(v_NA, c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A), c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_B), c_Message_Omsg_OMPair(V_U, c_Message_Omsg_OCrypt(c_Public_OshrK(v_B), c_Message_Omsg_OMPair(v_NA, c_Message_Omsg_OMPair(v_NB, c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A), c_Message_Omsg_OAgent(v_B)))))))))), c_List_Oset(v_evs2, tc_Event_Oevent), tc_Event_Oevent))) <=> (c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer, v_B, c_Message_Omsg_OMPair(v_NA, c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(v_A), c_Message_Omsg_OMPair(v_NA, c_Message_Omsg_OKey(v_K))), c_Message_Omsg_OCrypt(c_Public_OshrK(v_B), c_Message_Omsg_OMPair(v_NB, c_Message_Omsg_OKey(v_K)))))), c_List_Oset(v_evs2, tc_Event_Oevent), tc_Event_Oevent) | (~c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_B), c_Message_Omsg_OMPair(v_NB, c_Message_Omsg_OKey(v_K))), c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy, v_evs2)), tc_Message_Omsg)) | (~c_in(c_Event_Oevent_OSays(v_B, c_Message_Oagent_OServer, c_Message_Omsg_OMPair(v_NA, c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A), c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_B), c_Message_Omsg_OMPair(V_U, c_Message_Omsg_OCrypt(c_Public_OshrK(v_B), c_Message_Omsg_OMPair(v_NA, c_Message_Omsg_OMPair(v_NB, c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A), c_Message_Omsg_OAgent(v_B)))))))))), c_List_Oset(v_evs2, tc_Event_Oevent), tc_Event_Oevent))))),
% 0.11/0.36 inference(bind,[status(th)],[])).
% 0.11/0.36 tff(8,plain,
% 0.11/0.36 (![V_U: $i] : (c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer, v_B, c_Message_Omsg_OMPair(v_NA, c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(v_A), c_Message_Omsg_OMPair(v_NA, c_Message_Omsg_OKey(v_K))), c_Message_Omsg_OCrypt(c_Public_OshrK(v_B), c_Message_Omsg_OMPair(v_NB, c_Message_Omsg_OKey(v_K)))))), c_List_Oset(v_evs2, tc_Event_Oevent), tc_Event_Oevent) | (~c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_B), c_Message_Omsg_OMPair(v_NB, c_Message_Omsg_OKey(v_K))), c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy, v_evs2)), tc_Message_Omsg)) | (~c_in(c_Event_Oevent_OSays(v_B, c_Message_Oagent_OServer, c_Message_Omsg_OMPair(v_NA, c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A), c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_B), c_Message_Omsg_OMPair(V_U, c_Message_Omsg_OCrypt(c_Public_OshrK(v_B), c_Message_Omsg_OMPair(v_NA, c_Message_Omsg_OMPair(v_NB, c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A), c_Message_Omsg_OAgent(v_B)))))))))), c_List_Oset(v_evs2, tc_Event_Oevent), tc_Event_Oevent))) <=> ![V_U: $i] : (c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer, v_B, c_Message_Omsg_OMPair(v_NA, c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(v_A), c_Message_Omsg_OMPair(v_NA, c_Message_Omsg_OKey(v_K))), c_Message_Omsg_OCrypt(c_Public_OshrK(v_B), c_Message_Omsg_OMPair(v_NB, c_Message_Omsg_OKey(v_K)))))), c_List_Oset(v_evs2, tc_Event_Oevent), tc_Event_Oevent) | (~c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_B), c_Message_Omsg_OMPair(v_NB, c_Message_Omsg_OKey(v_K))), c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy, v_evs2)), tc_Message_Omsg)) | (~c_in(c_Event_Oevent_OSays(v_B, c_Message_Oagent_OServer, c_Message_Omsg_OMPair(v_NA, c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A), c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_B), c_Message_Omsg_OMPair(V_U, c_Message_Omsg_OCrypt(c_Public_OshrK(v_B), c_Message_Omsg_OMPair(v_NA, c_Message_Omsg_OMPair(v_NB, c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A), c_Message_Omsg_OAgent(v_B)))))))))), c_List_Oset(v_evs2, tc_Event_Oevent), tc_Event_Oevent)))),
% 0.11/0.37 inference(quant_intro,[status(thm)],[7])).
% 0.11/0.37 tff(9,plain,
% 0.11/0.37 (![V_U: $i] : (c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer, v_B, c_Message_Omsg_OMPair(v_NA, c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(v_A), c_Message_Omsg_OMPair(v_NA, c_Message_Omsg_OKey(v_K))), c_Message_Omsg_OCrypt(c_Public_OshrK(v_B), c_Message_Omsg_OMPair(v_NB, c_Message_Omsg_OKey(v_K)))))), c_List_Oset(v_evs2, tc_Event_Oevent), tc_Event_Oevent) | (~c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_B), c_Message_Omsg_OMPair(v_NB, c_Message_Omsg_OKey(v_K))), c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy, v_evs2)), tc_Message_Omsg)) | (~c_in(c_Event_Oevent_OSays(v_B, c_Message_Oagent_OServer, c_Message_Omsg_OMPair(v_NA, c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A), c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_B), c_Message_Omsg_OMPair(V_U, c_Message_Omsg_OCrypt(c_Public_OshrK(v_B), c_Message_Omsg_OMPair(v_NA, c_Message_Omsg_OMPair(v_NB, c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A), c_Message_Omsg_OAgent(v_B)))))))))), c_List_Oset(v_evs2, tc_Event_Oevent), tc_Event_Oevent))) <=> ![V_U: $i] : (c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer, v_B, c_Message_Omsg_OMPair(v_NA, c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(v_A), c_Message_Omsg_OMPair(v_NA, c_Message_Omsg_OKey(v_K))), c_Message_Omsg_OCrypt(c_Public_OshrK(v_B), c_Message_Omsg_OMPair(v_NB, c_Message_Omsg_OKey(v_K)))))), c_List_Oset(v_evs2, tc_Event_Oevent), tc_Event_Oevent) | (~c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_B), c_Message_Omsg_OMPair(v_NB, c_Message_Omsg_OKey(v_K))), c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy, v_evs2)), tc_Message_Omsg)) | (~c_in(c_Event_Oevent_OSays(v_B, c_Message_Oagent_OServer, c_Message_Omsg_OMPair(v_NA, c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A), c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_B), c_Message_Omsg_OMPair(V_U, c_Message_Omsg_OCrypt(c_Public_OshrK(v_B), c_Message_Omsg_OMPair(v_NA, c_Message_Omsg_OMPair(v_NB, c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A), c_Message_Omsg_OAgent(v_B)))))))))), c_List_Oset(v_evs2, tc_Event_Oevent), tc_Event_Oevent)))),
% 0.11/0.37 inference(rewrite,[status(thm)],[])).
% 0.11/0.37 tff(10,plain,
% 0.11/0.37 (^[V_U: $i] : trans(monotonicity(rewrite((c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer, v_B, c_Message_Omsg_OMPair(v_NA, c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(v_A), c_Message_Omsg_OMPair(v_NA, c_Message_Omsg_OKey(v_K))), c_Message_Omsg_OCrypt(c_Public_OshrK(v_B), c_Message_Omsg_OMPair(v_NB, c_Message_Omsg_OKey(v_K)))))), c_List_Oset(v_evs2, tc_Event_Oevent), tc_Event_Oevent) | (~c_in(c_Event_Oevent_OSays(v_B, c_Message_Oagent_OServer, c_Message_Omsg_OMPair(v_NA, c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A), c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_B), c_Message_Omsg_OMPair(V_U, c_Message_Omsg_OCrypt(c_Public_OshrK(v_B), c_Message_Omsg_OMPair(v_NA, c_Message_Omsg_OMPair(v_NB, c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A), c_Message_Omsg_OAgent(v_B)))))))))), c_List_Oset(v_evs2, tc_Event_Oevent), tc_Event_Oevent))) <=> (c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer, v_B, c_Message_Omsg_OMPair(v_NA, c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(v_A), c_Message_Omsg_OMPair(v_NA, c_Message_Omsg_OKey(v_K))), c_Message_Omsg_OCrypt(c_Public_OshrK(v_B), c_Message_Omsg_OMPair(v_NB, c_Message_Omsg_OKey(v_K)))))), c_List_Oset(v_evs2, tc_Event_Oevent), tc_Event_Oevent) | (~c_in(c_Event_Oevent_OSays(v_B, c_Message_Oagent_OServer, c_Message_Omsg_OMPair(v_NA, c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A), c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_B), c_Message_Omsg_OMPair(V_U, c_Message_Omsg_OCrypt(c_Public_OshrK(v_B), c_Message_Omsg_OMPair(v_NA, c_Message_Omsg_OMPair(v_NB, c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A), c_Message_Omsg_OAgent(v_B)))))))))), c_List_Oset(v_evs2, tc_Event_Oevent), tc_Event_Oevent)))), (((c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer, v_B, c_Message_Omsg_OMPair(v_NA, c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(v_A), c_Message_Omsg_OMPair(v_NA, c_Message_Omsg_OKey(v_K))), c_Message_Omsg_OCrypt(c_Public_OshrK(v_B), c_Message_Omsg_OMPair(v_NB, c_Message_Omsg_OKey(v_K)))))), c_List_Oset(v_evs2, tc_Event_Oevent), tc_Event_Oevent) | (~c_in(c_Event_Oevent_OSays(v_B, c_Message_Oagent_OServer, c_Message_Omsg_OMPair(v_NA, c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A), c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_B), c_Message_Omsg_OMPair(V_U, c_Message_Omsg_OCrypt(c_Public_OshrK(v_B), c_Message_Omsg_OMPair(v_NA, c_Message_Omsg_OMPair(v_NB, c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A), c_Message_Omsg_OAgent(v_B)))))))))), c_List_Oset(v_evs2, tc_Event_Oevent), tc_Event_Oevent))) | (~c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_B), c_Message_Omsg_OMPair(v_NB, c_Message_Omsg_OKey(v_K))), c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy, v_evs2)), tc_Message_Omsg))) <=> ((c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer, v_B, c_Message_Omsg_OMPair(v_NA, c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(v_A), c_Message_Omsg_OMPair(v_NA, c_Message_Omsg_OKey(v_K))), c_Message_Omsg_OCrypt(c_Public_OshrK(v_B), c_Message_Omsg_OMPair(v_NB, c_Message_Omsg_OKey(v_K)))))), c_List_Oset(v_evs2, tc_Event_Oevent), tc_Event_Oevent) | (~c_in(c_Event_Oevent_OSays(v_B, c_Message_Oagent_OServer, c_Message_Omsg_OMPair(v_NA, c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A), c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_B), c_Message_Omsg_OMPair(V_U, c_Message_Omsg_OCrypt(c_Public_OshrK(v_B), c_Message_Omsg_OMPair(v_NA, c_Message_Omsg_OMPair(v_NB, c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A), c_Message_Omsg_OAgent(v_B)))))))))), c_List_Oset(v_evs2, tc_Event_Oevent), tc_Event_Oevent))) | (~c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_B), c_Message_Omsg_OMPair(v_NB, c_Message_Omsg_OKey(v_K))), c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy, v_evs2)), tc_Message_Omsg))))), rewrite(((c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer, v_B, c_Message_Omsg_OMPair(v_NA, c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(v_A), c_Message_Omsg_OMPair(v_NA, c_Message_Omsg_OKey(v_K))), c_Message_Omsg_OCrypt(c_Public_OshrK(v_B), c_Message_Omsg_OMPair(v_NB, c_Message_Omsg_OKey(v_K)))))), c_List_Oset(v_evs2, tc_Event_Oevent), tc_Event_Oevent) | (~c_in(c_Event_Oevent_OSays(v_B, c_Message_Oagent_OServer, c_Message_Omsg_OMPair(v_NA, c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A), c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_B), c_Message_Omsg_OMPair(V_U, c_Message_Omsg_OCrypt(c_Public_OshrK(v_B), c_Message_Omsg_OMPair(v_NA, c_Message_Omsg_OMPair(v_NB, c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A), c_Message_Omsg_OAgent(v_B)))))))))), c_List_Oset(v_evs2, tc_Event_Oevent), tc_Event_Oevent))) | (~c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_B), c_Message_Omsg_OMPair(v_NB, c_Message_Omsg_OKey(v_K))), c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy, v_evs2)), tc_Message_Omsg))) <=> (c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer, v_B, c_Message_Omsg_OMPair(v_NA, c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(v_A), c_Message_Omsg_OMPair(v_NA, c_Message_Omsg_OKey(v_K))), c_Message_Omsg_OCrypt(c_Public_OshrK(v_B), c_Message_Omsg_OMPair(v_NB, c_Message_Omsg_OKey(v_K)))))), c_List_Oset(v_evs2, tc_Event_Oevent), tc_Event_Oevent) | (~c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_B), c_Message_Omsg_OMPair(v_NB, c_Message_Omsg_OKey(v_K))), c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy, v_evs2)), tc_Message_Omsg)) | (~c_in(c_Event_Oevent_OSays(v_B, c_Message_Oagent_OServer, c_Message_Omsg_OMPair(v_NA, c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A), c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_B), c_Message_Omsg_OMPair(V_U, c_Message_Omsg_OCrypt(c_Public_OshrK(v_B), c_Message_Omsg_OMPair(v_NA, c_Message_Omsg_OMPair(v_NB, c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A), c_Message_Omsg_OAgent(v_B)))))))))), c_List_Oset(v_evs2, tc_Event_Oevent), tc_Event_Oevent)))), (((c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer, v_B, c_Message_Omsg_OMPair(v_NA, c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(v_A), c_Message_Omsg_OMPair(v_NA, c_Message_Omsg_OKey(v_K))), c_Message_Omsg_OCrypt(c_Public_OshrK(v_B), c_Message_Omsg_OMPair(v_NB, c_Message_Omsg_OKey(v_K)))))), c_List_Oset(v_evs2, tc_Event_Oevent), tc_Event_Oevent) | (~c_in(c_Event_Oevent_OSays(v_B, c_Message_Oagent_OServer, c_Message_Omsg_OMPair(v_NA, c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A), c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_B), c_Message_Omsg_OMPair(V_U, c_Message_Omsg_OCrypt(c_Public_OshrK(v_B), c_Message_Omsg_OMPair(v_NA, c_Message_Omsg_OMPair(v_NB, c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A), c_Message_Omsg_OAgent(v_B)))))))))), c_List_Oset(v_evs2, tc_Event_Oevent), tc_Event_Oevent))) | (~c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_B), c_Message_Omsg_OMPair(v_NB, c_Message_Omsg_OKey(v_K))), c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy, v_evs2)), tc_Message_Omsg))) <=> (c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer, v_B, c_Message_Omsg_OMPair(v_NA, c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(v_A), c_Message_Omsg_OMPair(v_NA, c_Message_Omsg_OKey(v_K))), c_Message_Omsg_OCrypt(c_Public_OshrK(v_B), c_Message_Omsg_OMPair(v_NB, c_Message_Omsg_OKey(v_K)))))), c_List_Oset(v_evs2, tc_Event_Oevent), tc_Event_Oevent) | (~c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_B), c_Message_Omsg_OMPair(v_NB, c_Message_Omsg_OKey(v_K))), c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy, v_evs2)), tc_Message_Omsg)) | (~c_in(c_Event_Oevent_OSays(v_B, c_Message_Oagent_OServer, c_Message_Omsg_OMPair(v_NA, c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A), c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_B), c_Message_Omsg_OMPair(V_U, c_Message_Omsg_OCrypt(c_Public_OshrK(v_B), c_Message_Omsg_OMPair(v_NA, c_Message_Omsg_OMPair(v_NB, c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A), c_Message_Omsg_OAgent(v_B)))))))))), c_List_Oset(v_evs2, tc_Event_Oevent), tc_Event_Oevent)))))),
% 0.11/0.37 inference(bind,[status(th)],[])).
% 0.11/0.37 tff(11,plain,
% 0.11/0.37 (![V_U: $i] : ((c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer, v_B, c_Message_Omsg_OMPair(v_NA, c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(v_A), c_Message_Omsg_OMPair(v_NA, c_Message_Omsg_OKey(v_K))), c_Message_Omsg_OCrypt(c_Public_OshrK(v_B), c_Message_Omsg_OMPair(v_NB, c_Message_Omsg_OKey(v_K)))))), c_List_Oset(v_evs2, tc_Event_Oevent), tc_Event_Oevent) | (~c_in(c_Event_Oevent_OSays(v_B, c_Message_Oagent_OServer, c_Message_Omsg_OMPair(v_NA, c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A), c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_B), c_Message_Omsg_OMPair(V_U, c_Message_Omsg_OCrypt(c_Public_OshrK(v_B), c_Message_Omsg_OMPair(v_NA, c_Message_Omsg_OMPair(v_NB, c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A), c_Message_Omsg_OAgent(v_B)))))))))), c_List_Oset(v_evs2, tc_Event_Oevent), tc_Event_Oevent))) | (~c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_B), c_Message_Omsg_OMPair(v_NB, c_Message_Omsg_OKey(v_K))), c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy, v_evs2)), tc_Message_Omsg))) <=> ![V_U: $i] : (c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer, v_B, c_Message_Omsg_OMPair(v_NA, c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(v_A), c_Message_Omsg_OMPair(v_NA, c_Message_Omsg_OKey(v_K))), c_Message_Omsg_OCrypt(c_Public_OshrK(v_B), c_Message_Omsg_OMPair(v_NB, c_Message_Omsg_OKey(v_K)))))), c_List_Oset(v_evs2, tc_Event_Oevent), tc_Event_Oevent) | (~c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_B), c_Message_Omsg_OMPair(v_NB, c_Message_Omsg_OKey(v_K))), c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy, v_evs2)), tc_Message_Omsg)) | (~c_in(c_Event_Oevent_OSays(v_B, c_Message_Oagent_OServer, c_Message_Omsg_OMPair(v_NA, c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A), c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_B), c_Message_Omsg_OMPair(V_U, c_Message_Omsg_OCrypt(c_Public_OshrK(v_B), c_Message_Omsg_OMPair(v_NA, c_Message_Omsg_OMPair(v_NB, c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A), c_Message_Omsg_OAgent(v_B)))))))))), c_List_Oset(v_evs2, tc_Event_Oevent), tc_Event_Oevent)))),
% 0.11/0.37 inference(quant_intro,[status(thm)],[10])).
% 0.11/0.37 tff(12,axiom,(![V_U: $i] : ((c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer, v_B, c_Message_Omsg_OMPair(v_NA, c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(v_A), c_Message_Omsg_OMPair(v_NA, c_Message_Omsg_OKey(v_K))), c_Message_Omsg_OCrypt(c_Public_OshrK(v_B), c_Message_Omsg_OMPair(v_NB, c_Message_Omsg_OKey(v_K)))))), c_List_Oset(v_evs2, tc_Event_Oevent), tc_Event_Oevent) | (~c_in(c_Event_Oevent_OSays(v_B, c_Message_Oagent_OServer, c_Message_Omsg_OMPair(v_NA, c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A), c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_B), c_Message_Omsg_OMPair(V_U, c_Message_Omsg_OCrypt(c_Public_OshrK(v_B), c_Message_Omsg_OMPair(v_NA, c_Message_Omsg_OMPair(v_NB, c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A), c_Message_Omsg_OAgent(v_B)))))))))), c_List_Oset(v_evs2, tc_Event_Oevent), tc_Event_Oevent))) | (~c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_B), c_Message_Omsg_OMPair(v_NB, c_Message_Omsg_OKey(v_K))), c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy, v_evs2)), tc_Message_Omsg)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','cls_conjecture_16')).
% 0.11/0.37 tff(13,plain,
% 0.11/0.37 (![V_U: $i] : (c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer, v_B, c_Message_Omsg_OMPair(v_NA, c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(v_A), c_Message_Omsg_OMPair(v_NA, c_Message_Omsg_OKey(v_K))), c_Message_Omsg_OCrypt(c_Public_OshrK(v_B), c_Message_Omsg_OMPair(v_NB, c_Message_Omsg_OKey(v_K)))))), c_List_Oset(v_evs2, tc_Event_Oevent), tc_Event_Oevent) | (~c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_B), c_Message_Omsg_OMPair(v_NB, c_Message_Omsg_OKey(v_K))), c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy, v_evs2)), tc_Message_Omsg)) | (~c_in(c_Event_Oevent_OSays(v_B, c_Message_Oagent_OServer, c_Message_Omsg_OMPair(v_NA, c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A), c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_B), c_Message_Omsg_OMPair(V_U, c_Message_Omsg_OCrypt(c_Public_OshrK(v_B), c_Message_Omsg_OMPair(v_NA, c_Message_Omsg_OMPair(v_NB, c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A), c_Message_Omsg_OAgent(v_B)))))))))), c_List_Oset(v_evs2, tc_Event_Oevent), tc_Event_Oevent)))),
% 0.11/0.37 inference(modus_ponens,[status(thm)],[12, 11])).
% 0.11/0.37 tff(14,plain,
% 0.11/0.37 (![V_U: $i] : (c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer, v_B, c_Message_Omsg_OMPair(v_NA, c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(v_A), c_Message_Omsg_OMPair(v_NA, c_Message_Omsg_OKey(v_K))), c_Message_Omsg_OCrypt(c_Public_OshrK(v_B), c_Message_Omsg_OMPair(v_NB, c_Message_Omsg_OKey(v_K)))))), c_List_Oset(v_evs2, tc_Event_Oevent), tc_Event_Oevent) | (~c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_B), c_Message_Omsg_OMPair(v_NB, c_Message_Omsg_OKey(v_K))), c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy, v_evs2)), tc_Message_Omsg)) | (~c_in(c_Event_Oevent_OSays(v_B, c_Message_Oagent_OServer, c_Message_Omsg_OMPair(v_NA, c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A), c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_B), c_Message_Omsg_OMPair(V_U, c_Message_Omsg_OCrypt(c_Public_OshrK(v_B), c_Message_Omsg_OMPair(v_NA, c_Message_Omsg_OMPair(v_NB, c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A), c_Message_Omsg_OAgent(v_B)))))))))), c_List_Oset(v_evs2, tc_Event_Oevent), tc_Event_Oevent)))),
% 0.11/0.37 inference(modus_ponens,[status(thm)],[13, 9])).
% 0.11/0.37 tff(15,plain,(
% 0.11/0.37 ![V_U: $i] : (c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer, v_B, c_Message_Omsg_OMPair(v_NA, c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(v_A), c_Message_Omsg_OMPair(v_NA, c_Message_Omsg_OKey(v_K))), c_Message_Omsg_OCrypt(c_Public_OshrK(v_B), c_Message_Omsg_OMPair(v_NB, c_Message_Omsg_OKey(v_K)))))), c_List_Oset(v_evs2, tc_Event_Oevent), tc_Event_Oevent) | (~c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_B), c_Message_Omsg_OMPair(v_NB, c_Message_Omsg_OKey(v_K))), c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy, v_evs2)), tc_Message_Omsg)) | (~c_in(c_Event_Oevent_OSays(v_B, c_Message_Oagent_OServer, c_Message_Omsg_OMPair(v_NA, c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A), c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_B), c_Message_Omsg_OMPair(V_U, c_Message_Omsg_OCrypt(c_Public_OshrK(v_B), c_Message_Omsg_OMPair(v_NA, c_Message_Omsg_OMPair(v_NB, c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A), c_Message_Omsg_OAgent(v_B)))))))))), c_List_Oset(v_evs2, tc_Event_Oevent), tc_Event_Oevent)))),
% 0.11/0.37 inference(skolemize,[status(sab)],[14])).
% 0.11/0.37 tff(16,plain,
% 0.11/0.37 (![V_U: $i] : (c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer, v_B, c_Message_Omsg_OMPair(v_NA, c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(v_A), c_Message_Omsg_OMPair(v_NA, c_Message_Omsg_OKey(v_K))), c_Message_Omsg_OCrypt(c_Public_OshrK(v_B), c_Message_Omsg_OMPair(v_NB, c_Message_Omsg_OKey(v_K)))))), c_List_Oset(v_evs2, tc_Event_Oevent), tc_Event_Oevent) | (~c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_B), c_Message_Omsg_OMPair(v_NB, c_Message_Omsg_OKey(v_K))), c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy, v_evs2)), tc_Message_Omsg)) | (~c_in(c_Event_Oevent_OSays(v_B, c_Message_Oagent_OServer, c_Message_Omsg_OMPair(v_NA, c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A), c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_B), c_Message_Omsg_OMPair(V_U, c_Message_Omsg_OCrypt(c_Public_OshrK(v_B), c_Message_Omsg_OMPair(v_NA, c_Message_Omsg_OMPair(v_NB, c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A), c_Message_Omsg_OAgent(v_B)))))))))), c_List_Oset(v_evs2, tc_Event_Oevent), tc_Event_Oevent)))),
% 0.11/0.37 inference(modus_ponens,[status(thm)],[15, 8])).
% 0.11/0.37 tff(17,assumption,(c_in(c_Event_Oevent_OSays(v_B, c_Message_Oagent_OServer, c_Message_Omsg_OMPair(v_NA, c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A), c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_B), c_Message_Omsg_OMPair(v_x, c_Message_Omsg_OCrypt(c_Public_OshrK(v_B), c_Message_Omsg_OMPair(v_NA, c_Message_Omsg_OMPair(v_NB, c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A), c_Message_Omsg_OAgent(v_B)))))))))), c_List_Oset(v_evs2, tc_Event_Oevent), tc_Event_Oevent)), introduced(assumption)).
% 0.11/0.37 tff(18,plain,
% 0.11/0.37 (((~![V_U: $i] : (c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer, v_B, c_Message_Omsg_OMPair(v_NA, c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(v_A), c_Message_Omsg_OMPair(v_NA, c_Message_Omsg_OKey(v_K))), c_Message_Omsg_OCrypt(c_Public_OshrK(v_B), c_Message_Omsg_OMPair(v_NB, c_Message_Omsg_OKey(v_K)))))), c_List_Oset(v_evs2, tc_Event_Oevent), tc_Event_Oevent) | (~c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_B), c_Message_Omsg_OMPair(v_NB, c_Message_Omsg_OKey(v_K))), c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy, v_evs2)), tc_Message_Omsg)) | (~c_in(c_Event_Oevent_OSays(v_B, c_Message_Oagent_OServer, c_Message_Omsg_OMPair(v_NA, c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A), c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_B), c_Message_Omsg_OMPair(V_U, c_Message_Omsg_OCrypt(c_Public_OshrK(v_B), c_Message_Omsg_OMPair(v_NA, c_Message_Omsg_OMPair(v_NB, c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A), c_Message_Omsg_OAgent(v_B)))))))))), c_List_Oset(v_evs2, tc_Event_Oevent), tc_Event_Oevent)))) | (c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer, v_B, c_Message_Omsg_OMPair(v_NA, c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(v_A), c_Message_Omsg_OMPair(v_NA, c_Message_Omsg_OKey(v_K))), c_Message_Omsg_OCrypt(c_Public_OshrK(v_B), c_Message_Omsg_OMPair(v_NB, c_Message_Omsg_OKey(v_K)))))), c_List_Oset(v_evs2, tc_Event_Oevent), tc_Event_Oevent) | (~c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_B), c_Message_Omsg_OMPair(v_NB, c_Message_Omsg_OKey(v_K))), c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy, v_evs2)), tc_Message_Omsg)) | (~c_in(c_Event_Oevent_OSays(v_B, c_Message_Oagent_OServer, c_Message_Omsg_OMPair(v_NA, c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A), c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_B), c_Message_Omsg_OMPair(v_x, c_Message_Omsg_OCrypt(c_Public_OshrK(v_B), c_Message_Omsg_OMPair(v_NA, c_Message_Omsg_OMPair(v_NB, c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A), c_Message_Omsg_OAgent(v_B)))))))))), c_List_Oset(v_evs2, tc_Event_Oevent), tc_Event_Oevent)))) <=> ((~![V_U: $i] : (c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer, v_B, c_Message_Omsg_OMPair(v_NA, c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(v_A), c_Message_Omsg_OMPair(v_NA, c_Message_Omsg_OKey(v_K))), c_Message_Omsg_OCrypt(c_Public_OshrK(v_B), c_Message_Omsg_OMPair(v_NB, c_Message_Omsg_OKey(v_K)))))), c_List_Oset(v_evs2, tc_Event_Oevent), tc_Event_Oevent) | (~c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_B), c_Message_Omsg_OMPair(v_NB, c_Message_Omsg_OKey(v_K))), c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy, v_evs2)), tc_Message_Omsg)) | (~c_in(c_Event_Oevent_OSays(v_B, c_Message_Oagent_OServer, c_Message_Omsg_OMPair(v_NA, c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A), c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_B), c_Message_Omsg_OMPair(V_U, c_Message_Omsg_OCrypt(c_Public_OshrK(v_B), c_Message_Omsg_OMPair(v_NA, c_Message_Omsg_OMPair(v_NB, c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A), c_Message_Omsg_OAgent(v_B)))))))))), c_List_Oset(v_evs2, tc_Event_Oevent), tc_Event_Oevent)))) | c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer, v_B, c_Message_Omsg_OMPair(v_NA, c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(v_A), c_Message_Omsg_OMPair(v_NA, c_Message_Omsg_OKey(v_K))), c_Message_Omsg_OCrypt(c_Public_OshrK(v_B), c_Message_Omsg_OMPair(v_NB, c_Message_Omsg_OKey(v_K)))))), c_List_Oset(v_evs2, tc_Event_Oevent), tc_Event_Oevent) | (~c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_B), c_Message_Omsg_OMPair(v_NB, c_Message_Omsg_OKey(v_K))), c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy, v_evs2)), tc_Message_Omsg)) | (~c_in(c_Event_Oevent_OSays(v_B, c_Message_Oagent_OServer, c_Message_Omsg_OMPair(v_NA, c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A), c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_B), c_Message_Omsg_OMPair(v_x, c_Message_Omsg_OCrypt(c_Public_OshrK(v_B), c_Message_Omsg_OMPair(v_NA, c_Message_Omsg_OMPair(v_NB, c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A), c_Message_Omsg_OAgent(v_B)))))))))), c_List_Oset(v_evs2, tc_Event_Oevent), tc_Event_Oevent)))),
% 0.11/0.38 inference(rewrite,[status(thm)],[])).
% 0.11/0.38 tff(19,plain,
% 0.11/0.38 ((~![V_U: $i] : (c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer, v_B, c_Message_Omsg_OMPair(v_NA, c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(v_A), c_Message_Omsg_OMPair(v_NA, c_Message_Omsg_OKey(v_K))), c_Message_Omsg_OCrypt(c_Public_OshrK(v_B), c_Message_Omsg_OMPair(v_NB, c_Message_Omsg_OKey(v_K)))))), c_List_Oset(v_evs2, tc_Event_Oevent), tc_Event_Oevent) | (~c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_B), c_Message_Omsg_OMPair(v_NB, c_Message_Omsg_OKey(v_K))), c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy, v_evs2)), tc_Message_Omsg)) | (~c_in(c_Event_Oevent_OSays(v_B, c_Message_Oagent_OServer, c_Message_Omsg_OMPair(v_NA, c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A), c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_B), c_Message_Omsg_OMPair(V_U, c_Message_Omsg_OCrypt(c_Public_OshrK(v_B), c_Message_Omsg_OMPair(v_NA, c_Message_Omsg_OMPair(v_NB, c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A), c_Message_Omsg_OAgent(v_B)))))))))), c_List_Oset(v_evs2, tc_Event_Oevent), tc_Event_Oevent)))) | (c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer, v_B, c_Message_Omsg_OMPair(v_NA, c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(v_A), c_Message_Omsg_OMPair(v_NA, c_Message_Omsg_OKey(v_K))), c_Message_Omsg_OCrypt(c_Public_OshrK(v_B), c_Message_Omsg_OMPair(v_NB, c_Message_Omsg_OKey(v_K)))))), c_List_Oset(v_evs2, tc_Event_Oevent), tc_Event_Oevent) | (~c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_B), c_Message_Omsg_OMPair(v_NB, c_Message_Omsg_OKey(v_K))), c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy, v_evs2)), tc_Message_Omsg)) | (~c_in(c_Event_Oevent_OSays(v_B, c_Message_Oagent_OServer, c_Message_Omsg_OMPair(v_NA, c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A), c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_B), c_Message_Omsg_OMPair(v_x, c_Message_Omsg_OCrypt(c_Public_OshrK(v_B), c_Message_Omsg_OMPair(v_NA, c_Message_Omsg_OMPair(v_NB, c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A), c_Message_Omsg_OAgent(v_B)))))))))), c_List_Oset(v_evs2, tc_Event_Oevent), tc_Event_Oevent)))),
% 0.11/0.38 inference(quant_inst,[status(thm)],[])).
% 0.11/0.38 tff(20,plain,
% 0.11/0.38 ((~![V_U: $i] : (c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer, v_B, c_Message_Omsg_OMPair(v_NA, c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(v_A), c_Message_Omsg_OMPair(v_NA, c_Message_Omsg_OKey(v_K))), c_Message_Omsg_OCrypt(c_Public_OshrK(v_B), c_Message_Omsg_OMPair(v_NB, c_Message_Omsg_OKey(v_K)))))), c_List_Oset(v_evs2, tc_Event_Oevent), tc_Event_Oevent) | (~c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_B), c_Message_Omsg_OMPair(v_NB, c_Message_Omsg_OKey(v_K))), c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy, v_evs2)), tc_Message_Omsg)) | (~c_in(c_Event_Oevent_OSays(v_B, c_Message_Oagent_OServer, c_Message_Omsg_OMPair(v_NA, c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A), c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_B), c_Message_Omsg_OMPair(V_U, c_Message_Omsg_OCrypt(c_Public_OshrK(v_B), c_Message_Omsg_OMPair(v_NA, c_Message_Omsg_OMPair(v_NB, c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A), c_Message_Omsg_OAgent(v_B)))))))))), c_List_Oset(v_evs2, tc_Event_Oevent), tc_Event_Oevent)))) | c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer, v_B, c_Message_Omsg_OMPair(v_NA, c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(v_A), c_Message_Omsg_OMPair(v_NA, c_Message_Omsg_OKey(v_K))), c_Message_Omsg_OCrypt(c_Public_OshrK(v_B), c_Message_Omsg_OMPair(v_NB, c_Message_Omsg_OKey(v_K)))))), c_List_Oset(v_evs2, tc_Event_Oevent), tc_Event_Oevent) | (~c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_B), c_Message_Omsg_OMPair(v_NB, c_Message_Omsg_OKey(v_K))), c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy, v_evs2)), tc_Message_Omsg)) | (~c_in(c_Event_Oevent_OSays(v_B, c_Message_Oagent_OServer, c_Message_Omsg_OMPair(v_NA, c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A), c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_B), c_Message_Omsg_OMPair(v_x, c_Message_Omsg_OCrypt(c_Public_OshrK(v_B), c_Message_Omsg_OMPair(v_NA, c_Message_Omsg_OMPair(v_NB, c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A), c_Message_Omsg_OAgent(v_B)))))))))), c_List_Oset(v_evs2, tc_Event_Oevent), tc_Event_Oevent))),
% 0.11/0.38 inference(modus_ponens,[status(thm)],[19, 18])).
% 0.11/0.38 tff(21,plain,
% 0.11/0.38 ($false),
% 0.11/0.38 inference(unit_resolution,[status(thm)],[20, 17, 16, 6, 3])).
% 0.11/0.38 tff(22,plain,(~c_in(c_Event_Oevent_OSays(v_B, c_Message_Oagent_OServer, c_Message_Omsg_OMPair(v_NA, c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A), c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_B), c_Message_Omsg_OMPair(v_x, c_Message_Omsg_OCrypt(c_Public_OshrK(v_B), c_Message_Omsg_OMPair(v_NA, c_Message_Omsg_OMPair(v_NB, c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A), c_Message_Omsg_OAgent(v_B)))))))))), c_List_Oset(v_evs2, tc_Event_Oevent), tc_Event_Oevent)), inference(lemma,lemma(discharge,[]))).
% 0.11/0.38 tff(23,plain,
% 0.11/0.38 ((c_in(c_Event_Oevent_OSays(v_B, c_Message_Oagent_OServer, c_Message_Omsg_OMPair(v_NA, c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A), c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_B), c_Message_Omsg_OMPair(v_x, c_Message_Omsg_OCrypt(c_Public_OshrK(v_B), c_Message_Omsg_OMPair(v_NA, c_Message_Omsg_OMPair(v_NB, c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A), c_Message_Omsg_OAgent(v_B)))))))))), c_List_Oset(v_evs2, tc_Event_Oevent), tc_Event_Oevent) | (v_NB = c_Message_Omsg_ONonce(v_NBa))) <=> (c_in(c_Event_Oevent_OSays(v_B, c_Message_Oagent_OServer, c_Message_Omsg_OMPair(v_NA, c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A), c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_B), c_Message_Omsg_OMPair(v_x, c_Message_Omsg_OCrypt(c_Public_OshrK(v_B), c_Message_Omsg_OMPair(v_NA, c_Message_Omsg_OMPair(v_NB, c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A), c_Message_Omsg_OAgent(v_B)))))))))), c_List_Oset(v_evs2, tc_Event_Oevent), tc_Event_Oevent) | (v_NB = c_Message_Omsg_ONonce(v_NBa)))),
% 0.11/0.38 inference(rewrite,[status(thm)],[])).
% 0.11/0.38 tff(24,axiom,(c_in(c_Event_Oevent_OSays(v_B, c_Message_Oagent_OServer, c_Message_Omsg_OMPair(v_NA, c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A), c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_B), c_Message_Omsg_OMPair(v_x, c_Message_Omsg_OCrypt(c_Public_OshrK(v_B), c_Message_Omsg_OMPair(v_NA, c_Message_Omsg_OMPair(v_NB, c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A), c_Message_Omsg_OAgent(v_B)))))))))), c_List_Oset(v_evs2, tc_Event_Oevent), tc_Event_Oevent) | (v_NB = c_Message_Omsg_ONonce(v_NBa))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','cls_conjecture_13')).
% 0.11/0.38 tff(25,plain,
% 0.11/0.38 (c_in(c_Event_Oevent_OSays(v_B, c_Message_Oagent_OServer, c_Message_Omsg_OMPair(v_NA, c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A), c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_B), c_Message_Omsg_OMPair(v_x, c_Message_Omsg_OCrypt(c_Public_OshrK(v_B), c_Message_Omsg_OMPair(v_NA, c_Message_Omsg_OMPair(v_NB, c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A), c_Message_Omsg_OAgent(v_B)))))))))), c_List_Oset(v_evs2, tc_Event_Oevent), tc_Event_Oevent) | (v_NB = c_Message_Omsg_ONonce(v_NBa))),
% 0.11/0.38 inference(modus_ponens,[status(thm)],[24, 23])).
% 0.11/0.38 tff(26,plain,
% 0.11/0.38 (c_in(c_Event_Oevent_OSays(v_B, c_Message_Oagent_OServer, c_Message_Omsg_OMPair(v_NA, c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A), c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_B), c_Message_Omsg_OMPair(v_x, c_Message_Omsg_OCrypt(c_Public_OshrK(v_B), c_Message_Omsg_OMPair(v_NA, c_Message_Omsg_OMPair(v_NB, c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A), c_Message_Omsg_OAgent(v_B)))))))))), c_List_Oset(v_evs2, tc_Event_Oevent), tc_Event_Oevent) | (v_NB = c_Message_Omsg_ONonce(v_NBa))),
% 0.11/0.38 inference(modus_ponens,[status(thm)],[25, 23])).
% 0.11/0.38 tff(27,plain,
% 0.11/0.38 (c_in(c_Event_Oevent_OSays(v_B, c_Message_Oagent_OServer, c_Message_Omsg_OMPair(v_NA, c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A), c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_B), c_Message_Omsg_OMPair(v_x, c_Message_Omsg_OCrypt(c_Public_OshrK(v_B), c_Message_Omsg_OMPair(v_NA, c_Message_Omsg_OMPair(v_NB, c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A), c_Message_Omsg_OAgent(v_B)))))))))), c_List_Oset(v_evs2, tc_Event_Oevent), tc_Event_Oevent) | (v_NB = c_Message_Omsg_ONonce(v_NBa))),
% 0.11/0.38 inference(modus_ponens,[status(thm)],[26, 23])).
% 0.11/0.38 tff(28,plain,
% 0.11/0.38 (c_in(c_Event_Oevent_OSays(v_B, c_Message_Oagent_OServer, c_Message_Omsg_OMPair(v_NA, c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A), c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_B), c_Message_Omsg_OMPair(v_x, c_Message_Omsg_OCrypt(c_Public_OshrK(v_B), c_Message_Omsg_OMPair(v_NA, c_Message_Omsg_OMPair(v_NB, c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A), c_Message_Omsg_OAgent(v_B)))))))))), c_List_Oset(v_evs2, tc_Event_Oevent), tc_Event_Oevent) | (v_NB = c_Message_Omsg_ONonce(v_NBa))),
% 0.11/0.38 inference(modus_ponens,[status(thm)],[27, 23])).
% 0.11/0.38 tff(29,plain,
% 0.11/0.38 (c_in(c_Event_Oevent_OSays(v_B, c_Message_Oagent_OServer, c_Message_Omsg_OMPair(v_NA, c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A), c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_B), c_Message_Omsg_OMPair(v_x, c_Message_Omsg_OCrypt(c_Public_OshrK(v_B), c_Message_Omsg_OMPair(v_NA, c_Message_Omsg_OMPair(v_NB, c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A), c_Message_Omsg_OAgent(v_B)))))))))), c_List_Oset(v_evs2, tc_Event_Oevent), tc_Event_Oevent) | (v_NB = c_Message_Omsg_ONonce(v_NBa))),
% 0.11/0.38 inference(modus_ponens,[status(thm)],[28, 23])).
% 0.11/0.38 tff(30,plain,
% 0.11/0.38 (v_NB = c_Message_Omsg_ONonce(v_NBa)),
% 0.11/0.38 inference(unit_resolution,[status(thm)],[29, 22])).
% 0.11/0.38 tff(31,plain,
% 0.11/0.38 (c_in(v_NB, c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy, v_evs2)), tc_Message_Omsg) <=> c_in(c_Message_Omsg_ONonce(v_NBa), c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy, v_evs2)), tc_Message_Omsg)),
% 0.11/0.38 inference(monotonicity,[status(thm)],[30])).
% 0.11/0.38 tff(32,plain,
% 0.11/0.38 (c_in(c_Message_Omsg_ONonce(v_NBa), c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy, v_evs2)), tc_Message_Omsg) <=> c_in(v_NB, c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy, v_evs2)), tc_Message_Omsg)),
% 0.11/0.38 inference(symmetry,[status(thm)],[31])).
% 0.11/0.38 tff(33,plain,
% 0.11/0.38 ((~c_in(c_Message_Omsg_ONonce(v_NBa), c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy, v_evs2)), tc_Message_Omsg)) <=> (~c_in(v_NB, c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy, v_evs2)), tc_Message_Omsg))),
% 0.11/0.38 inference(monotonicity,[status(thm)],[32])).
% 0.11/0.38 tff(34,plain,
% 0.11/0.38 (^[V_c: $i, V_evs: $i] : refl(((~c_in(V_c, c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy, V_evs)), tc_Message_Omsg)) | c_in(V_c, c_Event_Oused(V_evs), tc_Message_Omsg)) <=> ((~c_in(V_c, c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy, V_evs)), tc_Message_Omsg)) | c_in(V_c, c_Event_Oused(V_evs), tc_Message_Omsg)))),
% 0.11/0.38 inference(bind,[status(th)],[])).
% 0.11/0.38 tff(35,plain,
% 0.11/0.38 (![V_c: $i, V_evs: $i] : ((~c_in(V_c, c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy, V_evs)), tc_Message_Omsg)) | c_in(V_c, c_Event_Oused(V_evs), tc_Message_Omsg)) <=> ![V_c: $i, V_evs: $i] : ((~c_in(V_c, c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy, V_evs)), tc_Message_Omsg)) | c_in(V_c, c_Event_Oused(V_evs), tc_Message_Omsg))),
% 0.11/0.38 inference(quant_intro,[status(thm)],[34])).
% 0.11/0.38 tff(36,plain,
% 0.11/0.38 (![V_c: $i, V_evs: $i] : ((~c_in(V_c, c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy, V_evs)), tc_Message_Omsg)) | c_in(V_c, c_Event_Oused(V_evs), tc_Message_Omsg)) <=> ![V_c: $i, V_evs: $i] : ((~c_in(V_c, c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy, V_evs)), tc_Message_Omsg)) | c_in(V_c, c_Event_Oused(V_evs), tc_Message_Omsg))),
% 0.11/0.38 inference(rewrite,[status(thm)],[])).
% 0.11/0.38 tff(37,axiom,(![V_c: $i, V_evs: $i] : ((~c_in(V_c, c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy, V_evs)), tc_Message_Omsg)) | c_in(V_c, c_Event_Oused(V_evs), tc_Message_Omsg))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','cls_Event_Oc_A_58_Aparts_A_Iknows_ASpy_Aevs1_J_A_61_61_62_Ac_A_58_Aused_Aevs1_0')).
% 0.11/0.38 tff(38,plain,
% 0.11/0.38 (![V_c: $i, V_evs: $i] : ((~c_in(V_c, c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy, V_evs)), tc_Message_Omsg)) | c_in(V_c, c_Event_Oused(V_evs), tc_Message_Omsg))),
% 0.11/0.38 inference(modus_ponens,[status(thm)],[37, 36])).
% 0.11/0.38 tff(39,plain,(
% 0.11/0.38 ![V_c: $i, V_evs: $i] : ((~c_in(V_c, c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy, V_evs)), tc_Message_Omsg)) | c_in(V_c, c_Event_Oused(V_evs), tc_Message_Omsg))),
% 0.11/0.38 inference(skolemize,[status(sab)],[38])).
% 0.11/0.38 tff(40,plain,
% 0.11/0.38 (![V_c: $i, V_evs: $i] : ((~c_in(V_c, c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy, V_evs)), tc_Message_Omsg)) | c_in(V_c, c_Event_Oused(V_evs), tc_Message_Omsg))),
% 0.11/0.38 inference(modus_ponens,[status(thm)],[39, 35])).
% 0.11/0.38 tff(41,plain,
% 0.11/0.38 ((~c_in(c_Message_Omsg_ONonce(v_NBa), c_Event_Oused(v_evs2), tc_Message_Omsg)) <=> (~c_in(c_Message_Omsg_ONonce(v_NBa), c_Event_Oused(v_evs2), tc_Message_Omsg))),
% 0.11/0.38 inference(rewrite,[status(thm)],[])).
% 0.11/0.38 tff(42,axiom,(~c_in(c_Message_Omsg_ONonce(v_NBa), c_Event_Oused(v_evs2), tc_Message_Omsg)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','cls_conjecture_2')).
% 0.11/0.38 tff(43,plain,
% 0.11/0.38 (~c_in(c_Message_Omsg_ONonce(v_NBa), c_Event_Oused(v_evs2), tc_Message_Omsg)),
% 0.11/0.38 inference(modus_ponens,[status(thm)],[42, 41])).
% 0.11/0.38 tff(44,plain,
% 0.11/0.38 (((~![V_c: $i, V_evs: $i] : ((~c_in(V_c, c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy, V_evs)), tc_Message_Omsg)) | c_in(V_c, c_Event_Oused(V_evs), tc_Message_Omsg))) | ((~c_in(c_Message_Omsg_ONonce(v_NBa), c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy, v_evs2)), tc_Message_Omsg)) | c_in(c_Message_Omsg_ONonce(v_NBa), c_Event_Oused(v_evs2), tc_Message_Omsg))) <=> ((~![V_c: $i, V_evs: $i] : ((~c_in(V_c, c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy, V_evs)), tc_Message_Omsg)) | c_in(V_c, c_Event_Oused(V_evs), tc_Message_Omsg))) | (~c_in(c_Message_Omsg_ONonce(v_NBa), c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy, v_evs2)), tc_Message_Omsg)) | c_in(c_Message_Omsg_ONonce(v_NBa), c_Event_Oused(v_evs2), tc_Message_Omsg))),
% 0.11/0.38 inference(rewrite,[status(thm)],[])).
% 0.11/0.38 tff(45,plain,
% 0.11/0.38 ((~![V_c: $i, V_evs: $i] : ((~c_in(V_c, c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy, V_evs)), tc_Message_Omsg)) | c_in(V_c, c_Event_Oused(V_evs), tc_Message_Omsg))) | ((~c_in(c_Message_Omsg_ONonce(v_NBa), c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy, v_evs2)), tc_Message_Omsg)) | c_in(c_Message_Omsg_ONonce(v_NBa), c_Event_Oused(v_evs2), tc_Message_Omsg))),
% 0.11/0.38 inference(quant_inst,[status(thm)],[])).
% 0.18/0.39 tff(46,plain,
% 0.18/0.39 ((~![V_c: $i, V_evs: $i] : ((~c_in(V_c, c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy, V_evs)), tc_Message_Omsg)) | c_in(V_c, c_Event_Oused(V_evs), tc_Message_Omsg))) | (~c_in(c_Message_Omsg_ONonce(v_NBa), c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy, v_evs2)), tc_Message_Omsg)) | c_in(c_Message_Omsg_ONonce(v_NBa), c_Event_Oused(v_evs2), tc_Message_Omsg)),
% 0.18/0.39 inference(modus_ponens,[status(thm)],[45, 44])).
% 0.18/0.39 tff(47,plain,
% 0.18/0.39 (~c_in(c_Message_Omsg_ONonce(v_NBa), c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy, v_evs2)), tc_Message_Omsg)),
% 0.18/0.39 inference(unit_resolution,[status(thm)],[46, 43, 40])).
% 0.18/0.39 tff(48,plain,
% 0.18/0.39 (~c_in(v_NB, c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy, v_evs2)), tc_Message_Omsg)),
% 0.18/0.39 inference(modus_ponens,[status(thm)],[47, 33])).
% 0.18/0.39 tff(49,plain,
% 0.18/0.39 (^[V_H: $i, V_X: $i, V_K: $i] : refl(((~c_in(c_Message_Omsg_OCrypt(V_K, V_X), c_Message_Oparts(V_H), tc_Message_Omsg)) | c_in(V_X, c_Message_Oparts(V_H), tc_Message_Omsg)) <=> ((~c_in(c_Message_Omsg_OCrypt(V_K, V_X), c_Message_Oparts(V_H), tc_Message_Omsg)) | c_in(V_X, c_Message_Oparts(V_H), tc_Message_Omsg)))),
% 0.18/0.39 inference(bind,[status(th)],[])).
% 0.18/0.39 tff(50,plain,
% 0.18/0.39 (![V_H: $i, V_X: $i, V_K: $i] : ((~c_in(c_Message_Omsg_OCrypt(V_K, V_X), c_Message_Oparts(V_H), tc_Message_Omsg)) | c_in(V_X, c_Message_Oparts(V_H), tc_Message_Omsg)) <=> ![V_H: $i, V_X: $i, V_K: $i] : ((~c_in(c_Message_Omsg_OCrypt(V_K, V_X), c_Message_Oparts(V_H), tc_Message_Omsg)) | c_in(V_X, c_Message_Oparts(V_H), tc_Message_Omsg))),
% 0.18/0.39 inference(quant_intro,[status(thm)],[49])).
% 0.18/0.39 tff(51,plain,
% 0.18/0.39 (![V_H: $i, V_X: $i, V_K: $i] : ((~c_in(c_Message_Omsg_OCrypt(V_K, V_X), c_Message_Oparts(V_H), tc_Message_Omsg)) | c_in(V_X, c_Message_Oparts(V_H), tc_Message_Omsg)) <=> ![V_H: $i, V_X: $i, V_K: $i] : ((~c_in(c_Message_Omsg_OCrypt(V_K, V_X), c_Message_Oparts(V_H), tc_Message_Omsg)) | c_in(V_X, c_Message_Oparts(V_H), tc_Message_Omsg))),
% 0.18/0.39 inference(rewrite,[status(thm)],[])).
% 0.18/0.39 tff(52,axiom,(![V_H: $i, V_X: $i, V_K: $i] : ((~c_in(c_Message_Omsg_OCrypt(V_K, V_X), c_Message_Oparts(V_H), tc_Message_Omsg)) | c_in(V_X, c_Message_Oparts(V_H), tc_Message_Omsg))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','cls_Message_Oparts_OBody__dest_0')).
% 0.18/0.39 tff(53,plain,
% 0.18/0.39 (![V_H: $i, V_X: $i, V_K: $i] : ((~c_in(c_Message_Omsg_OCrypt(V_K, V_X), c_Message_Oparts(V_H), tc_Message_Omsg)) | c_in(V_X, c_Message_Oparts(V_H), tc_Message_Omsg))),
% 0.18/0.39 inference(modus_ponens,[status(thm)],[52, 51])).
% 0.18/0.39 tff(54,plain,(
% 0.18/0.39 ![V_H: $i, V_X: $i, V_K: $i] : ((~c_in(c_Message_Omsg_OCrypt(V_K, V_X), c_Message_Oparts(V_H), tc_Message_Omsg)) | c_in(V_X, c_Message_Oparts(V_H), tc_Message_Omsg))),
% 0.18/0.39 inference(skolemize,[status(sab)],[53])).
% 0.18/0.39 tff(55,plain,
% 0.18/0.39 (![V_H: $i, V_X: $i, V_K: $i] : ((~c_in(c_Message_Omsg_OCrypt(V_K, V_X), c_Message_Oparts(V_H), tc_Message_Omsg)) | c_in(V_X, c_Message_Oparts(V_H), tc_Message_Omsg))),
% 0.18/0.39 inference(modus_ponens,[status(thm)],[54, 50])).
% 0.18/0.39 tff(56,plain,
% 0.18/0.39 (((~![V_H: $i, V_X: $i, V_K: $i] : ((~c_in(c_Message_Omsg_OCrypt(V_K, V_X), c_Message_Oparts(V_H), tc_Message_Omsg)) | c_in(V_X, c_Message_Oparts(V_H), tc_Message_Omsg))) | ((~c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_B), c_Message_Omsg_OMPair(v_NB, c_Message_Omsg_OKey(v_K))), c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy, v_evs2)), tc_Message_Omsg)) | c_in(c_Message_Omsg_OMPair(v_NB, c_Message_Omsg_OKey(v_K)), c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy, v_evs2)), tc_Message_Omsg))) <=> ((~![V_H: $i, V_X: $i, V_K: $i] : ((~c_in(c_Message_Omsg_OCrypt(V_K, V_X), c_Message_Oparts(V_H), tc_Message_Omsg)) | c_in(V_X, c_Message_Oparts(V_H), tc_Message_Omsg))) | (~c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_B), c_Message_Omsg_OMPair(v_NB, c_Message_Omsg_OKey(v_K))), c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy, v_evs2)), tc_Message_Omsg)) | c_in(c_Message_Omsg_OMPair(v_NB, c_Message_Omsg_OKey(v_K)), c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy, v_evs2)), tc_Message_Omsg))),
% 0.18/0.39 inference(rewrite,[status(thm)],[])).
% 0.18/0.39 tff(57,plain,
% 0.18/0.39 ((~![V_H: $i, V_X: $i, V_K: $i] : ((~c_in(c_Message_Omsg_OCrypt(V_K, V_X), c_Message_Oparts(V_H), tc_Message_Omsg)) | c_in(V_X, c_Message_Oparts(V_H), tc_Message_Omsg))) | ((~c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_B), c_Message_Omsg_OMPair(v_NB, c_Message_Omsg_OKey(v_K))), c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy, v_evs2)), tc_Message_Omsg)) | c_in(c_Message_Omsg_OMPair(v_NB, c_Message_Omsg_OKey(v_K)), c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy, v_evs2)), tc_Message_Omsg))),
% 0.18/0.39 inference(quant_inst,[status(thm)],[])).
% 0.18/0.39 tff(58,plain,
% 0.18/0.39 ((~![V_H: $i, V_X: $i, V_K: $i] : ((~c_in(c_Message_Omsg_OCrypt(V_K, V_X), c_Message_Oparts(V_H), tc_Message_Omsg)) | c_in(V_X, c_Message_Oparts(V_H), tc_Message_Omsg))) | (~c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_B), c_Message_Omsg_OMPair(v_NB, c_Message_Omsg_OKey(v_K))), c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy, v_evs2)), tc_Message_Omsg)) | c_in(c_Message_Omsg_OMPair(v_NB, c_Message_Omsg_OKey(v_K)), c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy, v_evs2)), tc_Message_Omsg)),
% 0.18/0.39 inference(modus_ponens,[status(thm)],[57, 56])).
% 0.18/0.39 tff(59,plain,
% 0.18/0.39 (c_in(c_Message_Omsg_OMPair(v_NB, c_Message_Omsg_OKey(v_K)), c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy, v_evs2)), tc_Message_Omsg)),
% 0.18/0.39 inference(unit_resolution,[status(thm)],[58, 6, 55])).
% 0.18/0.39 tff(60,plain,
% 0.18/0.39 (^[V_Y: $i, V_H: $i, V_X: $i] : refl(((~c_in(c_Message_Omsg_OMPair(V_X, V_Y), c_Message_Oparts(V_H), tc_Message_Omsg)) | c_in(V_X, c_Message_Oparts(V_H), tc_Message_Omsg)) <=> ((~c_in(c_Message_Omsg_OMPair(V_X, V_Y), c_Message_Oparts(V_H), tc_Message_Omsg)) | c_in(V_X, c_Message_Oparts(V_H), tc_Message_Omsg)))),
% 0.18/0.39 inference(bind,[status(th)],[])).
% 0.18/0.39 tff(61,plain,
% 0.18/0.39 (![V_Y: $i, V_H: $i, V_X: $i] : ((~c_in(c_Message_Omsg_OMPair(V_X, V_Y), c_Message_Oparts(V_H), tc_Message_Omsg)) | c_in(V_X, c_Message_Oparts(V_H), tc_Message_Omsg)) <=> ![V_Y: $i, V_H: $i, V_X: $i] : ((~c_in(c_Message_Omsg_OMPair(V_X, V_Y), c_Message_Oparts(V_H), tc_Message_Omsg)) | c_in(V_X, c_Message_Oparts(V_H), tc_Message_Omsg))),
% 0.18/0.39 inference(quant_intro,[status(thm)],[60])).
% 0.18/0.39 tff(62,plain,
% 0.18/0.39 (![V_Y: $i, V_H: $i, V_X: $i] : ((~c_in(c_Message_Omsg_OMPair(V_X, V_Y), c_Message_Oparts(V_H), tc_Message_Omsg)) | c_in(V_X, c_Message_Oparts(V_H), tc_Message_Omsg)) <=> ![V_Y: $i, V_H: $i, V_X: $i] : ((~c_in(c_Message_Omsg_OMPair(V_X, V_Y), c_Message_Oparts(V_H), tc_Message_Omsg)) | c_in(V_X, c_Message_Oparts(V_H), tc_Message_Omsg))),
% 0.18/0.39 inference(rewrite,[status(thm)],[])).
% 0.18/0.39 tff(63,axiom,(![V_Y: $i, V_H: $i, V_X: $i] : ((~c_in(c_Message_Omsg_OMPair(V_X, V_Y), c_Message_Oparts(V_H), tc_Message_Omsg)) | c_in(V_X, c_Message_Oparts(V_H), tc_Message_Omsg))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','cls_Message_OMPair__parts_1')).
% 0.18/0.39 tff(64,plain,
% 0.18/0.39 (![V_Y: $i, V_H: $i, V_X: $i] : ((~c_in(c_Message_Omsg_OMPair(V_X, V_Y), c_Message_Oparts(V_H), tc_Message_Omsg)) | c_in(V_X, c_Message_Oparts(V_H), tc_Message_Omsg))),
% 0.18/0.39 inference(modus_ponens,[status(thm)],[63, 62])).
% 0.18/0.39 tff(65,plain,(
% 0.18/0.39 ![V_Y: $i, V_H: $i, V_X: $i] : ((~c_in(c_Message_Omsg_OMPair(V_X, V_Y), c_Message_Oparts(V_H), tc_Message_Omsg)) | c_in(V_X, c_Message_Oparts(V_H), tc_Message_Omsg))),
% 0.18/0.39 inference(skolemize,[status(sab)],[64])).
% 0.18/0.39 tff(66,plain,
% 0.18/0.39 (![V_Y: $i, V_H: $i, V_X: $i] : ((~c_in(c_Message_Omsg_OMPair(V_X, V_Y), c_Message_Oparts(V_H), tc_Message_Omsg)) | c_in(V_X, c_Message_Oparts(V_H), tc_Message_Omsg))),
% 0.18/0.39 inference(modus_ponens,[status(thm)],[65, 61])).
% 0.18/0.39 tff(67,plain,
% 0.18/0.39 (((~![V_Y: $i, V_H: $i, V_X: $i] : ((~c_in(c_Message_Omsg_OMPair(V_X, V_Y), c_Message_Oparts(V_H), tc_Message_Omsg)) | c_in(V_X, c_Message_Oparts(V_H), tc_Message_Omsg))) | ((~c_in(c_Message_Omsg_OMPair(v_NB, c_Message_Omsg_OKey(v_K)), c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy, v_evs2)), tc_Message_Omsg)) | c_in(v_NB, c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy, v_evs2)), tc_Message_Omsg))) <=> ((~![V_Y: $i, V_H: $i, V_X: $i] : ((~c_in(c_Message_Omsg_OMPair(V_X, V_Y), c_Message_Oparts(V_H), tc_Message_Omsg)) | c_in(V_X, c_Message_Oparts(V_H), tc_Message_Omsg))) | (~c_in(c_Message_Omsg_OMPair(v_NB, c_Message_Omsg_OKey(v_K)), c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy, v_evs2)), tc_Message_Omsg)) | c_in(v_NB, c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy, v_evs2)), tc_Message_Omsg))),
% 0.18/0.39 inference(rewrite,[status(thm)],[])).
% 0.18/0.39 tff(68,plain,
% 0.18/0.39 ((~![V_Y: $i, V_H: $i, V_X: $i] : ((~c_in(c_Message_Omsg_OMPair(V_X, V_Y), c_Message_Oparts(V_H), tc_Message_Omsg)) | c_in(V_X, c_Message_Oparts(V_H), tc_Message_Omsg))) | ((~c_in(c_Message_Omsg_OMPair(v_NB, c_Message_Omsg_OKey(v_K)), c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy, v_evs2)), tc_Message_Omsg)) | c_in(v_NB, c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy, v_evs2)), tc_Message_Omsg))),
% 0.18/0.39 inference(quant_inst,[status(thm)],[])).
% 0.18/0.39 tff(69,plain,
% 0.18/0.39 ((~![V_Y: $i, V_H: $i, V_X: $i] : ((~c_in(c_Message_Omsg_OMPair(V_X, V_Y), c_Message_Oparts(V_H), tc_Message_Omsg)) | c_in(V_X, c_Message_Oparts(V_H), tc_Message_Omsg))) | (~c_in(c_Message_Omsg_OMPair(v_NB, c_Message_Omsg_OKey(v_K)), c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy, v_evs2)), tc_Message_Omsg)) | c_in(v_NB, c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy, v_evs2)), tc_Message_Omsg)),
% 0.18/0.39 inference(modus_ponens,[status(thm)],[68, 67])).
% 0.18/0.39 tff(70,plain,
% 0.18/0.39 ((~c_in(c_Message_Omsg_OMPair(v_NB, c_Message_Omsg_OKey(v_K)), c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy, v_evs2)), tc_Message_Omsg)) | c_in(v_NB, c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy, v_evs2)), tc_Message_Omsg)),
% 0.18/0.39 inference(unit_resolution,[status(thm)],[69, 66])).
% 0.18/0.39 tff(71,plain,
% 0.18/0.39 (c_in(v_NB, c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy, v_evs2)), tc_Message_Omsg)),
% 0.18/0.39 inference(unit_resolution,[status(thm)],[70, 59])).
% 0.18/0.39 tff(72,plain,
% 0.18/0.39 ($false),
% 0.18/0.39 inference(unit_resolution,[status(thm)],[71, 48])).
% 0.18/0.39 % SZS output end Proof
% 0.18/0.39 % E exiting
%------------------------------------------------------------------------------