TSTP Solution File: SWV299-2 by Twee---2.4.2
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%------------------------------------------------------------------------------
% File : Twee---2.4.2
% Problem : SWV299-2 : TPTP v8.1.2. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : parallel-twee %s --tstp --conditional-encoding if --smaller --drop-non-horn --give-up-on-saturation --explain-encoding --formal-proof
% Computer : n028.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 Aug 31 23:03:31 EDT 2023
% Result : Unsatisfiable 0.17s 0.37s
% Output : Proof 0.17s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.10 % Problem : SWV299-2 : TPTP v8.1.2. Released v3.2.0.
% 0.06/0.11 % Command : parallel-twee %s --tstp --conditional-encoding if --smaller --drop-non-horn --give-up-on-saturation --explain-encoding --formal-proof
% 0.10/0.31 % Computer : n028.cluster.edu
% 0.10/0.31 % Model : x86_64 x86_64
% 0.10/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.31 % Memory : 8042.1875MB
% 0.10/0.31 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.32 % CPULimit : 300
% 0.10/0.32 % WCLimit : 300
% 0.10/0.32 % DateTime : Tue Aug 29 10:34:40 EDT 2023
% 0.10/0.32 % CPUTime :
% 0.17/0.37 Command-line arguments: --no-flatten-goal
% 0.17/0.37
% 0.17/0.37 % SZS status Unsatisfiable
% 0.17/0.37
% 0.17/0.39 % SZS output start Proof
% 0.17/0.39 Take the following subset of the input axioms:
% 0.17/0.39 fof(cls_Event_OSays__imp__analz__Spy__dest_0, axiom, ![V_A, V_B, V_X, V_evs]: (~c_in(c_Event_Oevent_OSays(V_A, V_B, V_X), c_List_Oset(V_evs, tc_Event_Oevent), tc_Event_Oevent) | c_in(V_X, c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy, V_evs)), tc_Message_Omsg))).
% 0.17/0.39 fof(cls_Message_OMPair__analz_0, axiom, ![V_H, V_Y, V_X2]: (~c_in(c_Message_Omsg_OMPair(V_X2, V_Y), c_Message_Oanalz(V_H), tc_Message_Omsg) | c_in(V_Y, c_Message_Oanalz(V_H), tc_Message_Omsg))).
% 0.17/0.39 fof(cls_Message_Oanalz__into__parts__dest_0, axiom, ![V_c, V_H2]: (~c_in(V_c, c_Message_Oanalz(V_H2), tc_Message_Omsg) | c_in(V_c, c_Message_Oparts(V_H2), tc_Message_Omsg))).
% 0.17/0.39 fof(cls_OtwayRees_Ono__nonce__OR1__OR2__dest_0, axiom, ![V_NA_H, V_NA, V_A_H, V_A2, V_B2, V_evs2]: (~c_in(V_evs2, c_OtwayRees_Ootway, tc_List_Olist(tc_Event_Oevent)) | (~c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(V_A2), 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_A2))))), 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_A2), c_Message_Omsg_OMPair(V_NA, c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(V_A2), c_Message_Omsg_OAgent(V_B2)))), c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy, V_evs2)), tc_Message_Omsg) | c_in(V_A2, c_Event_Obad, tc_Message_Oagent))))).
% 0.17/0.39 fof(cls_conjecture_0, negated_conjecture, ~c_in(v_A, c_Event_Obad, tc_Message_Oagent)).
% 0.17/0.39 fof(cls_conjecture_1, negated_conjecture, c_in(v_evs3, c_OtwayRees_Ootway, tc_List_Olist(tc_Event_Oevent))).
% 0.17/0.39 fof(cls_conjecture_3, negated_conjecture, c_in(c_Event_Oevent_OSays(v_A, v_B, c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB), c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A), c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_B), c_Message_Omsg_OCrypt(c_Public_OshrK(v_A), c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB), c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A), c_Message_Omsg_OAgent(v_B)))))))), c_List_Oset(v_evs3, tc_Event_Oevent), tc_Event_Oevent)).
% 0.17/0.39 fof(cls_conjecture_4, negated_conjecture, c_in(c_Event_Oevent_OSays(v_Aaa, c_Message_Oagent_OServer, c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NA), c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa), c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A), c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(v_Aa), c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NA), c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa), c_Message_Omsg_OAgent(v_A)))), c_Message_Omsg_OCrypt(c_Public_OshrK(v_A), c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NA), c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB), c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa), c_Message_Omsg_OAgent(v_A)))))))))), c_List_Oset(v_evs3, tc_Event_Oevent), tc_Event_Oevent)).
% 0.17/0.39
% 0.17/0.39 Now clausify the problem and encode Horn clauses using encoding 3 of
% 0.17/0.39 http://www.cse.chalmers.se/~nicsma/papers/horn.pdf.
% 0.17/0.39 We repeatedly replace C & s=t => u=v by the two clauses:
% 0.17/0.39 fresh(y, y, x1...xn) = u
% 0.17/0.39 C => fresh(s, t, x1...xn) = v
% 0.17/0.39 where fresh is a fresh function symbol and x1..xn are the free
% 0.17/0.39 variables of u and v.
% 0.17/0.39 A predicate p(X) is encoded as p(X)=true (this is sound, because the
% 0.17/0.39 input problem has no model of domain size 1).
% 0.17/0.39
% 0.17/0.39 The encoding turns the above axioms into the following unit equations and goals:
% 0.17/0.39
% 0.17/0.39 Axiom 1 (cls_OtwayRees_Ono__nonce__OR1__OR2__dest_0): fresh6(X, X, Y) = true.
% 0.17/0.39 Axiom 2 (cls_OtwayRees_Ono__nonce__OR1__OR2__dest_0): fresh(X, X, Y, Z) = c_in(Z, c_Event_Obad, tc_Message_Oagent).
% 0.17/0.39 Axiom 3 (cls_Message_OMPair__analz_0): fresh4(X, X, Y, Z) = true.
% 0.17/0.39 Axiom 4 (cls_Event_OSays__imp__analz__Spy__dest_0): fresh3(X, X, Y, Z) = true.
% 0.17/0.39 Axiom 5 (cls_Message_Oanalz__into__parts__dest_0): fresh2(X, X, Y, Z) = true.
% 0.17/0.39 Axiom 6 (cls_conjecture_1): c_in(v_evs3, c_OtwayRees_Ootway, tc_List_Olist(tc_Event_Oevent)) = true.
% 0.17/0.39 Axiom 7 (cls_OtwayRees_Ono__nonce__OR1__OR2__dest_0): fresh5(X, X, Y, Z, W, V, U) = fresh6(c_in(Y, c_OtwayRees_Ootway, tc_List_Olist(tc_Event_Oevent)), true, Z).
% 0.17/0.39 Axiom 8 (cls_Message_Oanalz__into__parts__dest_0): fresh2(c_in(X, c_Message_Oanalz(Y), tc_Message_Omsg), true, X, Y) = c_in(X, c_Message_Oparts(Y), tc_Message_Omsg).
% 0.17/0.39 Axiom 9 (cls_Message_OMPair__analz_0): fresh4(c_in(c_Message_Omsg_OMPair(X, Y), c_Message_Oanalz(Z), tc_Message_Omsg), true, Y, Z) = c_in(Y, c_Message_Oanalz(Z), tc_Message_Omsg).
% 0.17/0.40 Axiom 10 (cls_Event_OSays__imp__analz__Spy__dest_0): fresh3(c_in(c_Event_Oevent_OSays(X, Y, Z), c_List_Oset(W, tc_Event_Oevent), tc_Event_Oevent), true, Z, W) = c_in(Z, c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy, W)), tc_Message_Omsg).
% 0.17/0.40 Axiom 11 (cls_OtwayRees_Ono__nonce__OR1__OR2__dest_0): fresh5(c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(X), c_Message_Omsg_OMPair(Y, c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X), c_Message_Omsg_OAgent(Z)))), c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy, W)), tc_Message_Omsg), true, W, X, V, Y, U) = fresh(c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(X), c_Message_Omsg_OMPair(V, c_Message_Omsg_OMPair(Y, c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(U), c_Message_Omsg_OAgent(X))))), c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy, W)), tc_Message_Omsg), true, W, X).
% 0.17/0.40 Axiom 12 (cls_conjecture_3): c_in(c_Event_Oevent_OSays(v_A, v_B, c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB), c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A), c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_B), c_Message_Omsg_OCrypt(c_Public_OshrK(v_A), c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB), c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A), c_Message_Omsg_OAgent(v_B)))))))), c_List_Oset(v_evs3, tc_Event_Oevent), tc_Event_Oevent) = true.
% 0.17/0.40 Axiom 13 (cls_conjecture_4): c_in(c_Event_Oevent_OSays(v_Aaa, c_Message_Oagent_OServer, c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NA), c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa), c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A), c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(v_Aa), c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NA), c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa), c_Message_Omsg_OAgent(v_A)))), c_Message_Omsg_OCrypt(c_Public_OshrK(v_A), c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NA), c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB), c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa), c_Message_Omsg_OAgent(v_A)))))))))), c_List_Oset(v_evs3, tc_Event_Oevent), tc_Event_Oevent) = true.
% 0.17/0.40
% 0.17/0.40 Goal 1 (cls_conjecture_0): c_in(v_A, c_Event_Obad, tc_Message_Oagent) = true.
% 0.17/0.40 Proof:
% 0.17/0.40 c_in(v_A, c_Event_Obad, tc_Message_Oagent)
% 0.17/0.40 = { by axiom 2 (cls_OtwayRees_Ono__nonce__OR1__OR2__dest_0) R->L }
% 0.17/0.40 fresh(true, true, v_evs3, v_A)
% 0.17/0.40 = { by axiom 5 (cls_Message_Oanalz__into__parts__dest_0) R->L }
% 0.17/0.40 fresh(fresh2(true, true, c_Message_Omsg_OCrypt(c_Public_OshrK(v_A), c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NA), c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB), c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa), c_Message_Omsg_OAgent(v_A))))), c_Event_Oknows(c_Message_Oagent_OSpy, v_evs3)), true, v_evs3, v_A)
% 0.17/0.40 = { by axiom 3 (cls_Message_OMPair__analz_0) R->L }
% 0.17/0.40 fresh(fresh2(fresh4(true, true, c_Message_Omsg_OCrypt(c_Public_OshrK(v_A), c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NA), c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB), c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa), c_Message_Omsg_OAgent(v_A))))), c_Event_Oknows(c_Message_Oagent_OSpy, v_evs3)), true, c_Message_Omsg_OCrypt(c_Public_OshrK(v_A), c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NA), c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB), c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa), c_Message_Omsg_OAgent(v_A))))), c_Event_Oknows(c_Message_Oagent_OSpy, v_evs3)), true, v_evs3, v_A)
% 0.17/0.40 = { by axiom 3 (cls_Message_OMPair__analz_0) R->L }
% 0.17/0.40 fresh(fresh2(fresh4(fresh4(true, true, c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(v_Aa), c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NA), c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa), c_Message_Omsg_OAgent(v_A)))), c_Message_Omsg_OCrypt(c_Public_OshrK(v_A), c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NA), c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB), c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa), c_Message_Omsg_OAgent(v_A)))))), c_Event_Oknows(c_Message_Oagent_OSpy, v_evs3)), true, c_Message_Omsg_OCrypt(c_Public_OshrK(v_A), c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NA), c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB), c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa), c_Message_Omsg_OAgent(v_A))))), c_Event_Oknows(c_Message_Oagent_OSpy, v_evs3)), true, c_Message_Omsg_OCrypt(c_Public_OshrK(v_A), c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NA), c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB), c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa), c_Message_Omsg_OAgent(v_A))))), c_Event_Oknows(c_Message_Oagent_OSpy, v_evs3)), true, v_evs3, v_A)
% 0.17/0.40 = { by axiom 3 (cls_Message_OMPair__analz_0) R->L }
% 0.17/0.40 fresh(fresh2(fresh4(fresh4(fresh4(true, true, c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A), c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(v_Aa), c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NA), c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa), c_Message_Omsg_OAgent(v_A)))), c_Message_Omsg_OCrypt(c_Public_OshrK(v_A), c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NA), c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB), c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa), c_Message_Omsg_OAgent(v_A))))))), c_Event_Oknows(c_Message_Oagent_OSpy, v_evs3)), true, c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(v_Aa), c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NA), c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa), c_Message_Omsg_OAgent(v_A)))), c_Message_Omsg_OCrypt(c_Public_OshrK(v_A), c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NA), c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB), c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa), c_Message_Omsg_OAgent(v_A)))))), c_Event_Oknows(c_Message_Oagent_OSpy, v_evs3)), true, c_Message_Omsg_OCrypt(c_Public_OshrK(v_A), c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NA), c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB), c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa), c_Message_Omsg_OAgent(v_A))))), c_Event_Oknows(c_Message_Oagent_OSpy, v_evs3)), true, c_Message_Omsg_OCrypt(c_Public_OshrK(v_A), c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NA), c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB), c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa), c_Message_Omsg_OAgent(v_A))))), c_Event_Oknows(c_Message_Oagent_OSpy, v_evs3)), true, v_evs3, v_A)
% 0.17/0.40 = { by axiom 3 (cls_Message_OMPair__analz_0) R->L }
% 0.17/0.40 fresh(fresh2(fresh4(fresh4(fresh4(fresh4(true, true, c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa), c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A), c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(v_Aa), c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NA), c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa), c_Message_Omsg_OAgent(v_A)))), c_Message_Omsg_OCrypt(c_Public_OshrK(v_A), c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NA), c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB), c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa), c_Message_Omsg_OAgent(v_A)))))))), c_Event_Oknows(c_Message_Oagent_OSpy, v_evs3)), true, c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A), c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(v_Aa), c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NA), c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa), c_Message_Omsg_OAgent(v_A)))), c_Message_Omsg_OCrypt(c_Public_OshrK(v_A), c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NA), c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB), c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa), c_Message_Omsg_OAgent(v_A))))))), c_Event_Oknows(c_Message_Oagent_OSpy, v_evs3)), true, c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(v_Aa), c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NA), c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa), c_Message_Omsg_OAgent(v_A)))), c_Message_Omsg_OCrypt(c_Public_OshrK(v_A), c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NA), c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB), c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa), c_Message_Omsg_OAgent(v_A)))))), c_Event_Oknows(c_Message_Oagent_OSpy, v_evs3)), true, c_Message_Omsg_OCrypt(c_Public_OshrK(v_A), c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NA), c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB), c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa), c_Message_Omsg_OAgent(v_A))))), c_Event_Oknows(c_Message_Oagent_OSpy, v_evs3)), true, c_Message_Omsg_OCrypt(c_Public_OshrK(v_A), c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NA), c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB), c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa), c_Message_Omsg_OAgent(v_A))))), c_Event_Oknows(c_Message_Oagent_OSpy, v_evs3)), true, v_evs3, v_A)
% 0.17/0.41 = { by axiom 4 (cls_Event_OSays__imp__analz__Spy__dest_0) R->L }
% 0.17/0.41 fresh(fresh2(fresh4(fresh4(fresh4(fresh4(fresh3(true, true, c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NA), c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa), c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A), c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(v_Aa), c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NA), c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa), c_Message_Omsg_OAgent(v_A)))), c_Message_Omsg_OCrypt(c_Public_OshrK(v_A), c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NA), c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB), c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa), c_Message_Omsg_OAgent(v_A))))))))), v_evs3), true, c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa), c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A), c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(v_Aa), c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NA), c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa), c_Message_Omsg_OAgent(v_A)))), c_Message_Omsg_OCrypt(c_Public_OshrK(v_A), c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NA), c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB), c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa), c_Message_Omsg_OAgent(v_A)))))))), c_Event_Oknows(c_Message_Oagent_OSpy, v_evs3)), true, c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A), c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(v_Aa), c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NA), c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa), c_Message_Omsg_OAgent(v_A)))), c_Message_Omsg_OCrypt(c_Public_OshrK(v_A), c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NA), c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB), c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa), c_Message_Omsg_OAgent(v_A))))))), c_Event_Oknows(c_Message_Oagent_OSpy, v_evs3)), true, c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(v_Aa), c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NA), c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa), c_Message_Omsg_OAgent(v_A)))), c_Message_Omsg_OCrypt(c_Public_OshrK(v_A), c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NA), c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB), c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa), c_Message_Omsg_OAgent(v_A)))))), c_Event_Oknows(c_Message_Oagent_OSpy, v_evs3)), true, c_Message_Omsg_OCrypt(c_Public_OshrK(v_A), c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NA), c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB), c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa), c_Message_Omsg_OAgent(v_A))))), c_Event_Oknows(c_Message_Oagent_OSpy, v_evs3)), true, c_Message_Omsg_OCrypt(c_Public_OshrK(v_A), c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NA), c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB), c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa), c_Message_Omsg_OAgent(v_A))))), c_Event_Oknows(c_Message_Oagent_OSpy, v_evs3)), true, v_evs3, v_A)
% 0.17/0.41 = { by axiom 13 (cls_conjecture_4) R->L }
% 0.17/0.41 fresh(fresh2(fresh4(fresh4(fresh4(fresh4(fresh3(c_in(c_Event_Oevent_OSays(v_Aaa, c_Message_Oagent_OServer, c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NA), c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa), c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A), c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(v_Aa), c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NA), c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa), c_Message_Omsg_OAgent(v_A)))), c_Message_Omsg_OCrypt(c_Public_OshrK(v_A), c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NA), c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB), c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa), c_Message_Omsg_OAgent(v_A)))))))))), c_List_Oset(v_evs3, tc_Event_Oevent), tc_Event_Oevent), true, c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NA), c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa), c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A), c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(v_Aa), c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NA), c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa), c_Message_Omsg_OAgent(v_A)))), c_Message_Omsg_OCrypt(c_Public_OshrK(v_A), c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NA), c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB), c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa), c_Message_Omsg_OAgent(v_A))))))))), v_evs3), true, c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa), c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A), c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(v_Aa), c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NA), c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa), c_Message_Omsg_OAgent(v_A)))), c_Message_Omsg_OCrypt(c_Public_OshrK(v_A), c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NA), c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB), c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa), c_Message_Omsg_OAgent(v_A)))))))), c_Event_Oknows(c_Message_Oagent_OSpy, v_evs3)), true, c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A), c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(v_Aa), c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NA), c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa), c_Message_Omsg_OAgent(v_A)))), c_Message_Omsg_OCrypt(c_Public_OshrK(v_A), c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NA), c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB), c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa), c_Message_Omsg_OAgent(v_A))))))), c_Event_Oknows(c_Message_Oagent_OSpy, v_evs3)), true, c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(v_Aa), c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NA), c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa), c_Message_Omsg_OAgent(v_A)))), c_Message_Omsg_OCrypt(c_Public_OshrK(v_A), c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NA), c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB), c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa), c_Message_Omsg_OAgent(v_A)))))), c_Event_Oknows(c_Message_Oagent_OSpy, v_evs3)), true, c_Message_Omsg_OCrypt(c_Public_OshrK(v_A), c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NA), c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB), c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa), c_Message_Omsg_OAgent(v_A))))), c_Event_Oknows(c_Message_Oagent_OSpy, v_evs3)), true, c_Message_Omsg_OCrypt(c_Public_OshrK(v_A), c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NA), c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB), c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa), c_Message_Omsg_OAgent(v_A))))), c_Event_Oknows(c_Message_Oagent_OSpy, v_evs3)), true, v_evs3, v_A)
% 0.17/0.41 = { by axiom 10 (cls_Event_OSays__imp__analz__Spy__dest_0) }
% 0.17/0.41 fresh(fresh2(fresh4(fresh4(fresh4(fresh4(c_in(c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NA), c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa), c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A), c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(v_Aa), c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NA), c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa), c_Message_Omsg_OAgent(v_A)))), c_Message_Omsg_OCrypt(c_Public_OshrK(v_A), c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NA), c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB), c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa), c_Message_Omsg_OAgent(v_A))))))))), c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy, v_evs3)), tc_Message_Omsg), true, c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa), c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A), c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(v_Aa), c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NA), c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa), c_Message_Omsg_OAgent(v_A)))), c_Message_Omsg_OCrypt(c_Public_OshrK(v_A), c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NA), c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB), c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa), c_Message_Omsg_OAgent(v_A)))))))), c_Event_Oknows(c_Message_Oagent_OSpy, v_evs3)), true, c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A), c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(v_Aa), c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NA), c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa), c_Message_Omsg_OAgent(v_A)))), c_Message_Omsg_OCrypt(c_Public_OshrK(v_A), c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NA), c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB), c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa), c_Message_Omsg_OAgent(v_A))))))), c_Event_Oknows(c_Message_Oagent_OSpy, v_evs3)), true, c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(v_Aa), c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NA), c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa), c_Message_Omsg_OAgent(v_A)))), c_Message_Omsg_OCrypt(c_Public_OshrK(v_A), c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NA), c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB), c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa), c_Message_Omsg_OAgent(v_A)))))), c_Event_Oknows(c_Message_Oagent_OSpy, v_evs3)), true, c_Message_Omsg_OCrypt(c_Public_OshrK(v_A), c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NA), c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB), c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa), c_Message_Omsg_OAgent(v_A))))), c_Event_Oknows(c_Message_Oagent_OSpy, v_evs3)), true, c_Message_Omsg_OCrypt(c_Public_OshrK(v_A), c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NA), c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB), c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa), c_Message_Omsg_OAgent(v_A))))), c_Event_Oknows(c_Message_Oagent_OSpy, v_evs3)), true, v_evs3, v_A)
% 0.17/0.41 = { by axiom 9 (cls_Message_OMPair__analz_0) }
% 0.17/0.41 fresh(fresh2(fresh4(fresh4(fresh4(c_in(c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa), c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A), c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(v_Aa), c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NA), c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa), c_Message_Omsg_OAgent(v_A)))), c_Message_Omsg_OCrypt(c_Public_OshrK(v_A), c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NA), c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB), c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa), c_Message_Omsg_OAgent(v_A)))))))), c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy, v_evs3)), tc_Message_Omsg), true, c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A), c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(v_Aa), c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NA), c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa), c_Message_Omsg_OAgent(v_A)))), c_Message_Omsg_OCrypt(c_Public_OshrK(v_A), c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NA), c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB), c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa), c_Message_Omsg_OAgent(v_A))))))), c_Event_Oknows(c_Message_Oagent_OSpy, v_evs3)), true, c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(v_Aa), c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NA), c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa), c_Message_Omsg_OAgent(v_A)))), c_Message_Omsg_OCrypt(c_Public_OshrK(v_A), c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NA), c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB), c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa), c_Message_Omsg_OAgent(v_A)))))), c_Event_Oknows(c_Message_Oagent_OSpy, v_evs3)), true, c_Message_Omsg_OCrypt(c_Public_OshrK(v_A), c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NA), c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB), c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa), c_Message_Omsg_OAgent(v_A))))), c_Event_Oknows(c_Message_Oagent_OSpy, v_evs3)), true, c_Message_Omsg_OCrypt(c_Public_OshrK(v_A), c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NA), c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB), c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa), c_Message_Omsg_OAgent(v_A))))), c_Event_Oknows(c_Message_Oagent_OSpy, v_evs3)), true, v_evs3, v_A)
% 0.17/0.41 = { by axiom 9 (cls_Message_OMPair__analz_0) }
% 0.17/0.41 fresh(fresh2(fresh4(fresh4(c_in(c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A), c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(v_Aa), c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NA), c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa), c_Message_Omsg_OAgent(v_A)))), c_Message_Omsg_OCrypt(c_Public_OshrK(v_A), c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NA), c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB), c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa), c_Message_Omsg_OAgent(v_A))))))), c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy, v_evs3)), tc_Message_Omsg), true, c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(v_Aa), c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NA), c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa), c_Message_Omsg_OAgent(v_A)))), c_Message_Omsg_OCrypt(c_Public_OshrK(v_A), c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NA), c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB), c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa), c_Message_Omsg_OAgent(v_A)))))), c_Event_Oknows(c_Message_Oagent_OSpy, v_evs3)), true, c_Message_Omsg_OCrypt(c_Public_OshrK(v_A), c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NA), c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB), c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa), c_Message_Omsg_OAgent(v_A))))), c_Event_Oknows(c_Message_Oagent_OSpy, v_evs3)), true, c_Message_Omsg_OCrypt(c_Public_OshrK(v_A), c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NA), c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB), c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa), c_Message_Omsg_OAgent(v_A))))), c_Event_Oknows(c_Message_Oagent_OSpy, v_evs3)), true, v_evs3, v_A)
% 0.17/0.41 = { by axiom 9 (cls_Message_OMPair__analz_0) }
% 0.17/0.41 fresh(fresh2(fresh4(c_in(c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(v_Aa), c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NA), c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa), c_Message_Omsg_OAgent(v_A)))), c_Message_Omsg_OCrypt(c_Public_OshrK(v_A), c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NA), c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB), c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa), c_Message_Omsg_OAgent(v_A)))))), c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy, v_evs3)), tc_Message_Omsg), true, c_Message_Omsg_OCrypt(c_Public_OshrK(v_A), c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NA), c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB), c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa), c_Message_Omsg_OAgent(v_A))))), c_Event_Oknows(c_Message_Oagent_OSpy, v_evs3)), true, c_Message_Omsg_OCrypt(c_Public_OshrK(v_A), c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NA), c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB), c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa), c_Message_Omsg_OAgent(v_A))))), c_Event_Oknows(c_Message_Oagent_OSpy, v_evs3)), true, v_evs3, v_A)
% 0.17/0.41 = { by axiom 9 (cls_Message_OMPair__analz_0) }
% 0.17/0.41 fresh(fresh2(c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_A), c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NA), c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB), c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa), c_Message_Omsg_OAgent(v_A))))), c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy, v_evs3)), tc_Message_Omsg), true, c_Message_Omsg_OCrypt(c_Public_OshrK(v_A), c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NA), c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB), c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa), c_Message_Omsg_OAgent(v_A))))), c_Event_Oknows(c_Message_Oagent_OSpy, v_evs3)), true, v_evs3, v_A)
% 0.17/0.41 = { by axiom 8 (cls_Message_Oanalz__into__parts__dest_0) }
% 0.17/0.41 fresh(c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_A), c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NA), c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB), c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa), c_Message_Omsg_OAgent(v_A))))), c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy, v_evs3)), tc_Message_Omsg), true, v_evs3, v_A)
% 0.17/0.41 = { by axiom 11 (cls_OtwayRees_Ono__nonce__OR1__OR2__dest_0) R->L }
% 0.17/0.41 fresh5(c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_A), c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB), c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A), c_Message_Omsg_OAgent(v_B)))), c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy, v_evs3)), tc_Message_Omsg), true, v_evs3, v_A, c_Message_Omsg_ONonce(v_NA), c_Message_Omsg_ONonce(v_NB), v_Aa)
% 0.17/0.41 = { by axiom 8 (cls_Message_Oanalz__into__parts__dest_0) R->L }
% 0.17/0.41 fresh5(fresh2(c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_A), c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB), c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A), c_Message_Omsg_OAgent(v_B)))), c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy, v_evs3)), tc_Message_Omsg), true, c_Message_Omsg_OCrypt(c_Public_OshrK(v_A), c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB), c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A), c_Message_Omsg_OAgent(v_B)))), c_Event_Oknows(c_Message_Oagent_OSpy, v_evs3)), true, v_evs3, v_A, c_Message_Omsg_ONonce(v_NA), c_Message_Omsg_ONonce(v_NB), v_Aa)
% 0.17/0.41 = { by axiom 9 (cls_Message_OMPair__analz_0) R->L }
% 0.17/0.42 fresh5(fresh2(fresh4(c_in(c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_B), c_Message_Omsg_OCrypt(c_Public_OshrK(v_A), c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB), c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A), c_Message_Omsg_OAgent(v_B))))), c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy, v_evs3)), tc_Message_Omsg), true, c_Message_Omsg_OCrypt(c_Public_OshrK(v_A), c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB), c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A), c_Message_Omsg_OAgent(v_B)))), c_Event_Oknows(c_Message_Oagent_OSpy, v_evs3)), true, c_Message_Omsg_OCrypt(c_Public_OshrK(v_A), c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB), c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A), c_Message_Omsg_OAgent(v_B)))), c_Event_Oknows(c_Message_Oagent_OSpy, v_evs3)), true, v_evs3, v_A, c_Message_Omsg_ONonce(v_NA), c_Message_Omsg_ONonce(v_NB), v_Aa)
% 0.17/0.42 = { by axiom 9 (cls_Message_OMPair__analz_0) R->L }
% 0.17/0.42 fresh5(fresh2(fresh4(fresh4(c_in(c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A), c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_B), c_Message_Omsg_OCrypt(c_Public_OshrK(v_A), c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB), c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A), c_Message_Omsg_OAgent(v_B)))))), c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy, v_evs3)), tc_Message_Omsg), true, c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_B), c_Message_Omsg_OCrypt(c_Public_OshrK(v_A), c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB), c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A), c_Message_Omsg_OAgent(v_B))))), c_Event_Oknows(c_Message_Oagent_OSpy, v_evs3)), true, c_Message_Omsg_OCrypt(c_Public_OshrK(v_A), c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB), c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A), c_Message_Omsg_OAgent(v_B)))), c_Event_Oknows(c_Message_Oagent_OSpy, v_evs3)), true, c_Message_Omsg_OCrypt(c_Public_OshrK(v_A), c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB), c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A), c_Message_Omsg_OAgent(v_B)))), c_Event_Oknows(c_Message_Oagent_OSpy, v_evs3)), true, v_evs3, v_A, c_Message_Omsg_ONonce(v_NA), c_Message_Omsg_ONonce(v_NB), v_Aa)
% 0.17/0.42 = { by axiom 9 (cls_Message_OMPair__analz_0) R->L }
% 0.17/0.42 fresh5(fresh2(fresh4(fresh4(fresh4(c_in(c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB), c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A), c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_B), c_Message_Omsg_OCrypt(c_Public_OshrK(v_A), c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB), c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A), c_Message_Omsg_OAgent(v_B))))))), c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy, v_evs3)), tc_Message_Omsg), true, c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A), c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_B), c_Message_Omsg_OCrypt(c_Public_OshrK(v_A), c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB), c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A), c_Message_Omsg_OAgent(v_B)))))), c_Event_Oknows(c_Message_Oagent_OSpy, v_evs3)), true, c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_B), c_Message_Omsg_OCrypt(c_Public_OshrK(v_A), c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB), c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A), c_Message_Omsg_OAgent(v_B))))), c_Event_Oknows(c_Message_Oagent_OSpy, v_evs3)), true, c_Message_Omsg_OCrypt(c_Public_OshrK(v_A), c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB), c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A), c_Message_Omsg_OAgent(v_B)))), c_Event_Oknows(c_Message_Oagent_OSpy, v_evs3)), true, c_Message_Omsg_OCrypt(c_Public_OshrK(v_A), c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB), c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A), c_Message_Omsg_OAgent(v_B)))), c_Event_Oknows(c_Message_Oagent_OSpy, v_evs3)), true, v_evs3, v_A, c_Message_Omsg_ONonce(v_NA), c_Message_Omsg_ONonce(v_NB), v_Aa)
% 0.17/0.42 = { by axiom 10 (cls_Event_OSays__imp__analz__Spy__dest_0) R->L }
% 0.17/0.42 fresh5(fresh2(fresh4(fresh4(fresh4(fresh3(c_in(c_Event_Oevent_OSays(v_A, v_B, c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB), c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A), c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_B), c_Message_Omsg_OCrypt(c_Public_OshrK(v_A), c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB), c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A), c_Message_Omsg_OAgent(v_B)))))))), c_List_Oset(v_evs3, tc_Event_Oevent), tc_Event_Oevent), true, c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB), c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A), c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_B), c_Message_Omsg_OCrypt(c_Public_OshrK(v_A), c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB), c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A), c_Message_Omsg_OAgent(v_B))))))), v_evs3), true, c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A), c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_B), c_Message_Omsg_OCrypt(c_Public_OshrK(v_A), c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB), c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A), c_Message_Omsg_OAgent(v_B)))))), c_Event_Oknows(c_Message_Oagent_OSpy, v_evs3)), true, c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_B), c_Message_Omsg_OCrypt(c_Public_OshrK(v_A), c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB), c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A), c_Message_Omsg_OAgent(v_B))))), c_Event_Oknows(c_Message_Oagent_OSpy, v_evs3)), true, c_Message_Omsg_OCrypt(c_Public_OshrK(v_A), c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB), c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A), c_Message_Omsg_OAgent(v_B)))), c_Event_Oknows(c_Message_Oagent_OSpy, v_evs3)), true, c_Message_Omsg_OCrypt(c_Public_OshrK(v_A), c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB), c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A), c_Message_Omsg_OAgent(v_B)))), c_Event_Oknows(c_Message_Oagent_OSpy, v_evs3)), true, v_evs3, v_A, c_Message_Omsg_ONonce(v_NA), c_Message_Omsg_ONonce(v_NB), v_Aa)
% 0.17/0.42 = { by axiom 12 (cls_conjecture_3) }
% 0.17/0.42 fresh5(fresh2(fresh4(fresh4(fresh4(fresh3(true, true, c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB), c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A), c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_B), c_Message_Omsg_OCrypt(c_Public_OshrK(v_A), c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB), c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A), c_Message_Omsg_OAgent(v_B))))))), v_evs3), true, c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A), c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_B), c_Message_Omsg_OCrypt(c_Public_OshrK(v_A), c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB), c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A), c_Message_Omsg_OAgent(v_B)))))), c_Event_Oknows(c_Message_Oagent_OSpy, v_evs3)), true, c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_B), c_Message_Omsg_OCrypt(c_Public_OshrK(v_A), c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB), c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A), c_Message_Omsg_OAgent(v_B))))), c_Event_Oknows(c_Message_Oagent_OSpy, v_evs3)), true, c_Message_Omsg_OCrypt(c_Public_OshrK(v_A), c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB), c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A), c_Message_Omsg_OAgent(v_B)))), c_Event_Oknows(c_Message_Oagent_OSpy, v_evs3)), true, c_Message_Omsg_OCrypt(c_Public_OshrK(v_A), c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB), c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A), c_Message_Omsg_OAgent(v_B)))), c_Event_Oknows(c_Message_Oagent_OSpy, v_evs3)), true, v_evs3, v_A, c_Message_Omsg_ONonce(v_NA), c_Message_Omsg_ONonce(v_NB), v_Aa)
% 0.17/0.42 = { by axiom 4 (cls_Event_OSays__imp__analz__Spy__dest_0) }
% 0.17/0.42 fresh5(fresh2(fresh4(fresh4(fresh4(true, true, c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A), c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_B), c_Message_Omsg_OCrypt(c_Public_OshrK(v_A), c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB), c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A), c_Message_Omsg_OAgent(v_B)))))), c_Event_Oknows(c_Message_Oagent_OSpy, v_evs3)), true, c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_B), c_Message_Omsg_OCrypt(c_Public_OshrK(v_A), c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB), c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A), c_Message_Omsg_OAgent(v_B))))), c_Event_Oknows(c_Message_Oagent_OSpy, v_evs3)), true, c_Message_Omsg_OCrypt(c_Public_OshrK(v_A), c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB), c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A), c_Message_Omsg_OAgent(v_B)))), c_Event_Oknows(c_Message_Oagent_OSpy, v_evs3)), true, c_Message_Omsg_OCrypt(c_Public_OshrK(v_A), c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB), c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A), c_Message_Omsg_OAgent(v_B)))), c_Event_Oknows(c_Message_Oagent_OSpy, v_evs3)), true, v_evs3, v_A, c_Message_Omsg_ONonce(v_NA), c_Message_Omsg_ONonce(v_NB), v_Aa)
% 0.17/0.42 = { by axiom 3 (cls_Message_OMPair__analz_0) }
% 0.17/0.42 fresh5(fresh2(fresh4(fresh4(true, true, c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_B), c_Message_Omsg_OCrypt(c_Public_OshrK(v_A), c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB), c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A), c_Message_Omsg_OAgent(v_B))))), c_Event_Oknows(c_Message_Oagent_OSpy, v_evs3)), true, c_Message_Omsg_OCrypt(c_Public_OshrK(v_A), c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB), c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A), c_Message_Omsg_OAgent(v_B)))), c_Event_Oknows(c_Message_Oagent_OSpy, v_evs3)), true, c_Message_Omsg_OCrypt(c_Public_OshrK(v_A), c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB), c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A), c_Message_Omsg_OAgent(v_B)))), c_Event_Oknows(c_Message_Oagent_OSpy, v_evs3)), true, v_evs3, v_A, c_Message_Omsg_ONonce(v_NA), c_Message_Omsg_ONonce(v_NB), v_Aa)
% 0.17/0.42 = { by axiom 3 (cls_Message_OMPair__analz_0) }
% 0.17/0.42 fresh5(fresh2(fresh4(true, true, c_Message_Omsg_OCrypt(c_Public_OshrK(v_A), c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB), c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A), c_Message_Omsg_OAgent(v_B)))), c_Event_Oknows(c_Message_Oagent_OSpy, v_evs3)), true, c_Message_Omsg_OCrypt(c_Public_OshrK(v_A), c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB), c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A), c_Message_Omsg_OAgent(v_B)))), c_Event_Oknows(c_Message_Oagent_OSpy, v_evs3)), true, v_evs3, v_A, c_Message_Omsg_ONonce(v_NA), c_Message_Omsg_ONonce(v_NB), v_Aa)
% 0.17/0.42 = { by axiom 3 (cls_Message_OMPair__analz_0) }
% 0.17/0.42 fresh5(fresh2(true, true, c_Message_Omsg_OCrypt(c_Public_OshrK(v_A), c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB), c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A), c_Message_Omsg_OAgent(v_B)))), c_Event_Oknows(c_Message_Oagent_OSpy, v_evs3)), true, v_evs3, v_A, c_Message_Omsg_ONonce(v_NA), c_Message_Omsg_ONonce(v_NB), v_Aa)
% 0.17/0.42 = { by axiom 5 (cls_Message_Oanalz__into__parts__dest_0) }
% 0.17/0.42 fresh5(true, true, v_evs3, v_A, c_Message_Omsg_ONonce(v_NA), c_Message_Omsg_ONonce(v_NB), v_Aa)
% 0.17/0.42 = { by axiom 7 (cls_OtwayRees_Ono__nonce__OR1__OR2__dest_0) }
% 0.17/0.42 fresh6(c_in(v_evs3, c_OtwayRees_Ootway, tc_List_Olist(tc_Event_Oevent)), true, v_A)
% 0.17/0.42 = { by axiom 6 (cls_conjecture_1) }
% 0.17/0.42 fresh6(true, true, v_A)
% 0.17/0.42 = { by axiom 1 (cls_OtwayRees_Ono__nonce__OR1__OR2__dest_0) }
% 0.17/0.42 true
% 0.17/0.42 % SZS output end Proof
% 0.17/0.42
% 0.17/0.42 RESULT: Unsatisfiable (the axioms are contradictory).
%------------------------------------------------------------------------------