TSTP Solution File: SWV340-2 by Twee---2.4.2
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%------------------------------------------------------------------------------
% File : Twee---2.4.2
% Problem : SWV340-2 : 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 : n003.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 23:03:47 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
% 0.03/0.10 % Problem : SWV340-2 : TPTP v8.1.2. Released v3.2.0.
% 0.03/0.11 % 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 : n003.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
% 0.10/0.31 % CPULimit : 300
% 0.10/0.31 % WCLimit : 300
% 0.10/0.31 % DateTime : Tue Aug 29 08:25:10 EDT 2023
% 0.10/0.32 % CPUTime :
% 0.17/0.37 Command-line arguments: --lhs-weight 1 --flip-ordering --normalise-queue-percent 10 --cp-renormalise-threshold 10
% 0.17/0.37
% 0.17/0.37 % SZS status Unsatisfiable
% 0.17/0.37
% 0.17/0.38 % SZS output start Proof
% 0.17/0.38 Take the following subset of the input axioms:
% 0.17/0.38 fof(cls_Event_Oc_A_58_Aparts_A_Iknows_ASpy_Aevs1_J_A_61_61_62_Ac_A_58_Aused_Aevs1_0, axiom, ![V_c, V_evs]: (~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))).
% 0.17/0.38 fof(cls_Message_OMPair__parts_0, axiom, ![V_X, V_Y, V_H]: (~c_in(c_Message_Omsg_OMPair(V_X, V_Y), c_Message_Oparts(V_H), tc_Message_Omsg) | c_in(V_Y, c_Message_Oparts(V_H), tc_Message_Omsg))).
% 0.17/0.38 fof(cls_Message_OMPair__parts_1, axiom, ![V_X2, V_H2, V_Y2]: (~c_in(c_Message_Omsg_OMPair(V_X2, V_Y2), c_Message_Oparts(V_H2), tc_Message_Omsg) | c_in(V_X2, c_Message_Oparts(V_H2), tc_Message_Omsg))).
% 0.17/0.38 fof(cls_Message_Oparts_OBody__dest_0, axiom, ![V_K, V_X2, V_H2]: (~c_in(c_Message_Omsg_OCrypt(V_K, V_X2), c_Message_Oparts(V_H2), tc_Message_Omsg) | c_in(V_X2, c_Message_Oparts(V_H2), tc_Message_Omsg))).
% 0.17/0.38 fof(cls_Message_Oparts_OInj_0, axiom, ![V_X2, V_H2]: (~c_in(V_X2, V_H2, tc_Message_Omsg) | c_in(V_X2, c_Message_Oparts(V_H2), tc_Message_Omsg))).
% 0.17/0.38 fof(cls_Message_Oparts__analz_0, axiom, ![V_H2]: c_Message_Oparts(c_Message_Oanalz(V_H2))=c_Message_Oparts(V_H2)).
% 0.17/0.38 fof(cls_Yahalom_OGets__imp__analz__Spy__dest_0, axiom, ![V_B, V_evs2, V_X2]: (~c_in(V_evs2, c_Yahalom_Oyahalom, tc_List_Olist(tc_Event_Oevent)) | (~c_in(c_Event_Oevent_OGets(V_B, V_X2), c_List_Oset(V_evs2, tc_Event_Oevent), tc_Event_Oevent) | c_in(V_X2, c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy, V_evs2)), tc_Message_Omsg)))).
% 0.17/0.38 fof(cls_conjecture_1, negated_conjecture, c_in(v_evs4, c_Yahalom_Oyahalom, tc_List_Olist(tc_Event_Oevent))).
% 0.17/0.38 fof(cls_conjecture_4, negated_conjecture, c_in(c_Event_Oevent_OGets(v_A, c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(v_A), c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_B), c_Message_Omsg_OMPair(c_Message_Omsg_OKey(v_Ka), c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NA), c_Message_Omsg_ONonce(v_NB))))), v_X)), c_List_Oset(v_evs4, tc_Event_Oevent), tc_Event_Oevent)).
% 0.17/0.38 fof(cls_conjecture_8, negated_conjecture, ~c_in(c_Message_Omsg_OKey(v_K), c_Event_Oused(v_evs4), tc_Message_Omsg)).
% 0.17/0.38 fof(cls_conjecture_9, negated_conjecture, v_K=v_Ka).
% 0.17/0.38
% 0.17/0.38 Now clausify the problem and encode Horn clauses using encoding 3 of
% 0.17/0.38 http://www.cse.chalmers.se/~nicsma/papers/horn.pdf.
% 0.17/0.38 We repeatedly replace C & s=t => u=v by the two clauses:
% 0.17/0.38 fresh(y, y, x1...xn) = u
% 0.17/0.38 C => fresh(s, t, x1...xn) = v
% 0.17/0.38 where fresh is a fresh function symbol and x1..xn are the free
% 0.17/0.38 variables of u and v.
% 0.17/0.38 A predicate p(X) is encoded as p(X)=true (this is sound, because the
% 0.17/0.38 input problem has no model of domain size 1).
% 0.17/0.38
% 0.17/0.38 The encoding turns the above axioms into the following unit equations and goals:
% 0.17/0.38
% 0.17/0.38 Axiom 1 (cls_conjecture_9): v_K = v_Ka.
% 0.17/0.38 Axiom 2 (cls_Message_Oparts__analz_0): c_Message_Oparts(c_Message_Oanalz(X)) = c_Message_Oparts(X).
% 0.17/0.38 Axiom 3 (cls_conjecture_1): c_in(v_evs4, c_Yahalom_Oyahalom, tc_List_Olist(tc_Event_Oevent)) = true.
% 0.17/0.38 Axiom 4 (cls_Yahalom_OGets__imp__analz__Spy__dest_0): fresh(X, X, Y, Z) = true.
% 0.17/0.39 Axiom 5 (cls_Message_OMPair__parts_0): fresh7(X, X, Y, Z) = true.
% 0.17/0.39 Axiom 6 (cls_Event_Oc_A_58_Aparts_A_Iknows_ASpy_Aevs1_J_A_61_61_62_Ac_A_58_Aused_Aevs1_0): fresh6(X, X, Y, Z) = true.
% 0.17/0.39 Axiom 7 (cls_Message_OMPair__parts_1): fresh5(X, X, Y, Z) = true.
% 0.17/0.39 Axiom 8 (cls_Message_Oparts_OBody__dest_0): fresh4(X, X, Y, Z) = true.
% 0.17/0.39 Axiom 9 (cls_Message_Oparts_OInj_0): fresh3(X, X, Y, Z) = true.
% 0.17/0.39 Axiom 10 (cls_Yahalom_OGets__imp__analz__Spy__dest_0): fresh2(X, X, Y, Z) = c_in(Z, c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy, Y)), tc_Message_Omsg).
% 0.17/0.39 Axiom 11 (cls_Message_Oparts_OInj_0): fresh3(c_in(X, Y, tc_Message_Omsg), true, X, Y) = c_in(X, c_Message_Oparts(Y), tc_Message_Omsg).
% 0.17/0.39 Axiom 12 (cls_Message_OMPair__parts_0): fresh7(c_in(c_Message_Omsg_OMPair(X, Y), c_Message_Oparts(Z), tc_Message_Omsg), true, Y, Z) = c_in(Y, c_Message_Oparts(Z), tc_Message_Omsg).
% 0.17/0.39 Axiom 13 (cls_Event_Oc_A_58_Aparts_A_Iknows_ASpy_Aevs1_J_A_61_61_62_Ac_A_58_Aused_Aevs1_0): fresh6(c_in(X, c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy, Y)), tc_Message_Omsg), true, X, Y) = c_in(X, c_Event_Oused(Y), tc_Message_Omsg).
% 0.17/0.39 Axiom 14 (cls_Message_OMPair__parts_1): fresh5(c_in(c_Message_Omsg_OMPair(X, Y), c_Message_Oparts(Z), tc_Message_Omsg), true, X, Z) = c_in(X, c_Message_Oparts(Z), tc_Message_Omsg).
% 0.17/0.39 Axiom 15 (cls_Message_Oparts_OBody__dest_0): fresh4(c_in(c_Message_Omsg_OCrypt(X, Y), c_Message_Oparts(Z), tc_Message_Omsg), true, Y, Z) = c_in(Y, c_Message_Oparts(Z), tc_Message_Omsg).
% 0.17/0.39 Axiom 16 (cls_Yahalom_OGets__imp__analz__Spy__dest_0): fresh2(c_in(c_Event_Oevent_OGets(X, Y), c_List_Oset(Z, tc_Event_Oevent), tc_Event_Oevent), true, Z, Y) = fresh(c_in(Z, c_Yahalom_Oyahalom, tc_List_Olist(tc_Event_Oevent)), true, Z, Y).
% 0.17/0.39 Axiom 17 (cls_conjecture_4): c_in(c_Event_Oevent_OGets(v_A, c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(v_A), c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_B), c_Message_Omsg_OMPair(c_Message_Omsg_OKey(v_Ka), c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NA), c_Message_Omsg_ONonce(v_NB))))), v_X)), c_List_Oset(v_evs4, tc_Event_Oevent), tc_Event_Oevent) = true.
% 0.17/0.39
% 0.17/0.39 Goal 1 (cls_conjecture_8): c_in(c_Message_Omsg_OKey(v_K), c_Event_Oused(v_evs4), tc_Message_Omsg) = true.
% 0.17/0.39 Proof:
% 0.17/0.39 c_in(c_Message_Omsg_OKey(v_K), c_Event_Oused(v_evs4), tc_Message_Omsg)
% 0.17/0.39 = { by axiom 13 (cls_Event_Oc_A_58_Aparts_A_Iknows_ASpy_Aevs1_J_A_61_61_62_Ac_A_58_Aused_Aevs1_0) R->L }
% 0.17/0.39 fresh6(c_in(c_Message_Omsg_OKey(v_K), c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy, v_evs4)), tc_Message_Omsg), true, c_Message_Omsg_OKey(v_K), v_evs4)
% 0.17/0.39 = { by axiom 14 (cls_Message_OMPair__parts_1) R->L }
% 0.17/0.39 fresh6(fresh5(c_in(c_Message_Omsg_OMPair(c_Message_Omsg_OKey(v_K), c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NA), c_Message_Omsg_ONonce(v_NB))), c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy, v_evs4)), tc_Message_Omsg), true, c_Message_Omsg_OKey(v_K), c_Event_Oknows(c_Message_Oagent_OSpy, v_evs4)), true, c_Message_Omsg_OKey(v_K), v_evs4)
% 0.17/0.39 = { by axiom 12 (cls_Message_OMPair__parts_0) R->L }
% 0.17/0.39 fresh6(fresh5(fresh7(c_in(c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_B), c_Message_Omsg_OMPair(c_Message_Omsg_OKey(v_K), c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NA), c_Message_Omsg_ONonce(v_NB)))), c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy, v_evs4)), tc_Message_Omsg), true, c_Message_Omsg_OMPair(c_Message_Omsg_OKey(v_K), c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NA), c_Message_Omsg_ONonce(v_NB))), c_Event_Oknows(c_Message_Oagent_OSpy, v_evs4)), true, c_Message_Omsg_OKey(v_K), c_Event_Oknows(c_Message_Oagent_OSpy, v_evs4)), true, c_Message_Omsg_OKey(v_K), v_evs4)
% 0.17/0.39 = { by axiom 15 (cls_Message_Oparts_OBody__dest_0) R->L }
% 0.17/0.39 fresh6(fresh5(fresh7(fresh4(c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_A), c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_B), c_Message_Omsg_OMPair(c_Message_Omsg_OKey(v_K), c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NA), c_Message_Omsg_ONonce(v_NB))))), c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy, v_evs4)), tc_Message_Omsg), true, c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_B), c_Message_Omsg_OMPair(c_Message_Omsg_OKey(v_K), c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NA), c_Message_Omsg_ONonce(v_NB)))), c_Event_Oknows(c_Message_Oagent_OSpy, v_evs4)), true, c_Message_Omsg_OMPair(c_Message_Omsg_OKey(v_K), c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NA), c_Message_Omsg_ONonce(v_NB))), c_Event_Oknows(c_Message_Oagent_OSpy, v_evs4)), true, c_Message_Omsg_OKey(v_K), c_Event_Oknows(c_Message_Oagent_OSpy, v_evs4)), true, c_Message_Omsg_OKey(v_K), v_evs4)
% 0.17/0.39 = { by axiom 14 (cls_Message_OMPair__parts_1) R->L }
% 0.17/0.39 fresh6(fresh5(fresh7(fresh4(fresh5(c_in(c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(v_A), c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_B), c_Message_Omsg_OMPair(c_Message_Omsg_OKey(v_K), c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NA), c_Message_Omsg_ONonce(v_NB))))), v_X), c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy, v_evs4)), tc_Message_Omsg), true, c_Message_Omsg_OCrypt(c_Public_OshrK(v_A), c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_B), c_Message_Omsg_OMPair(c_Message_Omsg_OKey(v_K), c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NA), c_Message_Omsg_ONonce(v_NB))))), c_Event_Oknows(c_Message_Oagent_OSpy, v_evs4)), true, c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_B), c_Message_Omsg_OMPair(c_Message_Omsg_OKey(v_K), c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NA), c_Message_Omsg_ONonce(v_NB)))), c_Event_Oknows(c_Message_Oagent_OSpy, v_evs4)), true, c_Message_Omsg_OMPair(c_Message_Omsg_OKey(v_K), c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NA), c_Message_Omsg_ONonce(v_NB))), c_Event_Oknows(c_Message_Oagent_OSpy, v_evs4)), true, c_Message_Omsg_OKey(v_K), c_Event_Oknows(c_Message_Oagent_OSpy, v_evs4)), true, c_Message_Omsg_OKey(v_K), v_evs4)
% 0.17/0.39 = { by axiom 2 (cls_Message_Oparts__analz_0) R->L }
% 0.17/0.39 fresh6(fresh5(fresh7(fresh4(fresh5(c_in(c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(v_A), c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_B), c_Message_Omsg_OMPair(c_Message_Omsg_OKey(v_K), c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NA), c_Message_Omsg_ONonce(v_NB))))), v_X), c_Message_Oparts(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy, v_evs4))), tc_Message_Omsg), true, c_Message_Omsg_OCrypt(c_Public_OshrK(v_A), c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_B), c_Message_Omsg_OMPair(c_Message_Omsg_OKey(v_K), c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NA), c_Message_Omsg_ONonce(v_NB))))), c_Event_Oknows(c_Message_Oagent_OSpy, v_evs4)), true, c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_B), c_Message_Omsg_OMPair(c_Message_Omsg_OKey(v_K), c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NA), c_Message_Omsg_ONonce(v_NB)))), c_Event_Oknows(c_Message_Oagent_OSpy, v_evs4)), true, c_Message_Omsg_OMPair(c_Message_Omsg_OKey(v_K), c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NA), c_Message_Omsg_ONonce(v_NB))), c_Event_Oknows(c_Message_Oagent_OSpy, v_evs4)), true, c_Message_Omsg_OKey(v_K), c_Event_Oknows(c_Message_Oagent_OSpy, v_evs4)), true, c_Message_Omsg_OKey(v_K), v_evs4)
% 0.17/0.39 = { by axiom 11 (cls_Message_Oparts_OInj_0) R->L }
% 0.17/0.40 fresh6(fresh5(fresh7(fresh4(fresh5(fresh3(c_in(c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(v_A), c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_B), c_Message_Omsg_OMPair(c_Message_Omsg_OKey(v_K), c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NA), c_Message_Omsg_ONonce(v_NB))))), v_X), c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy, v_evs4)), tc_Message_Omsg), true, c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(v_A), c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_B), c_Message_Omsg_OMPair(c_Message_Omsg_OKey(v_K), c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NA), c_Message_Omsg_ONonce(v_NB))))), v_X), c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy, v_evs4))), true, c_Message_Omsg_OCrypt(c_Public_OshrK(v_A), c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_B), c_Message_Omsg_OMPair(c_Message_Omsg_OKey(v_K), c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NA), c_Message_Omsg_ONonce(v_NB))))), c_Event_Oknows(c_Message_Oagent_OSpy, v_evs4)), true, c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_B), c_Message_Omsg_OMPair(c_Message_Omsg_OKey(v_K), c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NA), c_Message_Omsg_ONonce(v_NB)))), c_Event_Oknows(c_Message_Oagent_OSpy, v_evs4)), true, c_Message_Omsg_OMPair(c_Message_Omsg_OKey(v_K), c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NA), c_Message_Omsg_ONonce(v_NB))), c_Event_Oknows(c_Message_Oagent_OSpy, v_evs4)), true, c_Message_Omsg_OKey(v_K), c_Event_Oknows(c_Message_Oagent_OSpy, v_evs4)), true, c_Message_Omsg_OKey(v_K), v_evs4)
% 0.17/0.40 = { by axiom 10 (cls_Yahalom_OGets__imp__analz__Spy__dest_0) R->L }
% 0.17/0.40 fresh6(fresh5(fresh7(fresh4(fresh5(fresh3(fresh2(true, true, v_evs4, c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(v_A), c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_B), c_Message_Omsg_OMPair(c_Message_Omsg_OKey(v_K), c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NA), c_Message_Omsg_ONonce(v_NB))))), v_X)), true, c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(v_A), c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_B), c_Message_Omsg_OMPair(c_Message_Omsg_OKey(v_K), c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NA), c_Message_Omsg_ONonce(v_NB))))), v_X), c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy, v_evs4))), true, c_Message_Omsg_OCrypt(c_Public_OshrK(v_A), c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_B), c_Message_Omsg_OMPair(c_Message_Omsg_OKey(v_K), c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NA), c_Message_Omsg_ONonce(v_NB))))), c_Event_Oknows(c_Message_Oagent_OSpy, v_evs4)), true, c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_B), c_Message_Omsg_OMPair(c_Message_Omsg_OKey(v_K), c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NA), c_Message_Omsg_ONonce(v_NB)))), c_Event_Oknows(c_Message_Oagent_OSpy, v_evs4)), true, c_Message_Omsg_OMPair(c_Message_Omsg_OKey(v_K), c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NA), c_Message_Omsg_ONonce(v_NB))), c_Event_Oknows(c_Message_Oagent_OSpy, v_evs4)), true, c_Message_Omsg_OKey(v_K), c_Event_Oknows(c_Message_Oagent_OSpy, v_evs4)), true, c_Message_Omsg_OKey(v_K), v_evs4)
% 0.17/0.40 = { by axiom 17 (cls_conjecture_4) R->L }
% 0.17/0.40 fresh6(fresh5(fresh7(fresh4(fresh5(fresh3(fresh2(c_in(c_Event_Oevent_OGets(v_A, c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(v_A), c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_B), c_Message_Omsg_OMPair(c_Message_Omsg_OKey(v_Ka), c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NA), c_Message_Omsg_ONonce(v_NB))))), v_X)), c_List_Oset(v_evs4, tc_Event_Oevent), tc_Event_Oevent), true, v_evs4, c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(v_A), c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_B), c_Message_Omsg_OMPair(c_Message_Omsg_OKey(v_K), c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NA), c_Message_Omsg_ONonce(v_NB))))), v_X)), true, c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(v_A), c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_B), c_Message_Omsg_OMPair(c_Message_Omsg_OKey(v_K), c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NA), c_Message_Omsg_ONonce(v_NB))))), v_X), c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy, v_evs4))), true, c_Message_Omsg_OCrypt(c_Public_OshrK(v_A), c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_B), c_Message_Omsg_OMPair(c_Message_Omsg_OKey(v_K), c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NA), c_Message_Omsg_ONonce(v_NB))))), c_Event_Oknows(c_Message_Oagent_OSpy, v_evs4)), true, c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_B), c_Message_Omsg_OMPair(c_Message_Omsg_OKey(v_K), c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NA), c_Message_Omsg_ONonce(v_NB)))), c_Event_Oknows(c_Message_Oagent_OSpy, v_evs4)), true, c_Message_Omsg_OMPair(c_Message_Omsg_OKey(v_K), c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NA), c_Message_Omsg_ONonce(v_NB))), c_Event_Oknows(c_Message_Oagent_OSpy, v_evs4)), true, c_Message_Omsg_OKey(v_K), c_Event_Oknows(c_Message_Oagent_OSpy, v_evs4)), true, c_Message_Omsg_OKey(v_K), v_evs4)
% 0.17/0.40 = { by axiom 1 (cls_conjecture_9) R->L }
% 0.17/0.40 fresh6(fresh5(fresh7(fresh4(fresh5(fresh3(fresh2(c_in(c_Event_Oevent_OGets(v_A, c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(v_A), c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_B), c_Message_Omsg_OMPair(c_Message_Omsg_OKey(v_K), c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NA), c_Message_Omsg_ONonce(v_NB))))), v_X)), c_List_Oset(v_evs4, tc_Event_Oevent), tc_Event_Oevent), true, v_evs4, c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(v_A), c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_B), c_Message_Omsg_OMPair(c_Message_Omsg_OKey(v_K), c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NA), c_Message_Omsg_ONonce(v_NB))))), v_X)), true, c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(v_A), c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_B), c_Message_Omsg_OMPair(c_Message_Omsg_OKey(v_K), c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NA), c_Message_Omsg_ONonce(v_NB))))), v_X), c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy, v_evs4))), true, c_Message_Omsg_OCrypt(c_Public_OshrK(v_A), c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_B), c_Message_Omsg_OMPair(c_Message_Omsg_OKey(v_K), c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NA), c_Message_Omsg_ONonce(v_NB))))), c_Event_Oknows(c_Message_Oagent_OSpy, v_evs4)), true, c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_B), c_Message_Omsg_OMPair(c_Message_Omsg_OKey(v_K), c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NA), c_Message_Omsg_ONonce(v_NB)))), c_Event_Oknows(c_Message_Oagent_OSpy, v_evs4)), true, c_Message_Omsg_OMPair(c_Message_Omsg_OKey(v_K), c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NA), c_Message_Omsg_ONonce(v_NB))), c_Event_Oknows(c_Message_Oagent_OSpy, v_evs4)), true, c_Message_Omsg_OKey(v_K), c_Event_Oknows(c_Message_Oagent_OSpy, v_evs4)), true, c_Message_Omsg_OKey(v_K), v_evs4)
% 0.17/0.40 = { by axiom 16 (cls_Yahalom_OGets__imp__analz__Spy__dest_0) }
% 0.17/0.40 fresh6(fresh5(fresh7(fresh4(fresh5(fresh3(fresh(c_in(v_evs4, c_Yahalom_Oyahalom, tc_List_Olist(tc_Event_Oevent)), true, v_evs4, c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(v_A), c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_B), c_Message_Omsg_OMPair(c_Message_Omsg_OKey(v_K), c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NA), c_Message_Omsg_ONonce(v_NB))))), v_X)), true, c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(v_A), c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_B), c_Message_Omsg_OMPair(c_Message_Omsg_OKey(v_K), c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NA), c_Message_Omsg_ONonce(v_NB))))), v_X), c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy, v_evs4))), true, c_Message_Omsg_OCrypt(c_Public_OshrK(v_A), c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_B), c_Message_Omsg_OMPair(c_Message_Omsg_OKey(v_K), c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NA), c_Message_Omsg_ONonce(v_NB))))), c_Event_Oknows(c_Message_Oagent_OSpy, v_evs4)), true, c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_B), c_Message_Omsg_OMPair(c_Message_Omsg_OKey(v_K), c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NA), c_Message_Omsg_ONonce(v_NB)))), c_Event_Oknows(c_Message_Oagent_OSpy, v_evs4)), true, c_Message_Omsg_OMPair(c_Message_Omsg_OKey(v_K), c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NA), c_Message_Omsg_ONonce(v_NB))), c_Event_Oknows(c_Message_Oagent_OSpy, v_evs4)), true, c_Message_Omsg_OKey(v_K), c_Event_Oknows(c_Message_Oagent_OSpy, v_evs4)), true, c_Message_Omsg_OKey(v_K), v_evs4)
% 0.17/0.40 = { by axiom 3 (cls_conjecture_1) }
% 0.17/0.40 fresh6(fresh5(fresh7(fresh4(fresh5(fresh3(fresh(true, true, v_evs4, c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(v_A), c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_B), c_Message_Omsg_OMPair(c_Message_Omsg_OKey(v_K), c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NA), c_Message_Omsg_ONonce(v_NB))))), v_X)), true, c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(v_A), c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_B), c_Message_Omsg_OMPair(c_Message_Omsg_OKey(v_K), c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NA), c_Message_Omsg_ONonce(v_NB))))), v_X), c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy, v_evs4))), true, c_Message_Omsg_OCrypt(c_Public_OshrK(v_A), c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_B), c_Message_Omsg_OMPair(c_Message_Omsg_OKey(v_K), c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NA), c_Message_Omsg_ONonce(v_NB))))), c_Event_Oknows(c_Message_Oagent_OSpy, v_evs4)), true, c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_B), c_Message_Omsg_OMPair(c_Message_Omsg_OKey(v_K), c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NA), c_Message_Omsg_ONonce(v_NB)))), c_Event_Oknows(c_Message_Oagent_OSpy, v_evs4)), true, c_Message_Omsg_OMPair(c_Message_Omsg_OKey(v_K), c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NA), c_Message_Omsg_ONonce(v_NB))), c_Event_Oknows(c_Message_Oagent_OSpy, v_evs4)), true, c_Message_Omsg_OKey(v_K), c_Event_Oknows(c_Message_Oagent_OSpy, v_evs4)), true, c_Message_Omsg_OKey(v_K), v_evs4)
% 0.17/0.40 = { by axiom 4 (cls_Yahalom_OGets__imp__analz__Spy__dest_0) }
% 0.17/0.40 fresh6(fresh5(fresh7(fresh4(fresh5(fresh3(true, true, c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(v_A), c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_B), c_Message_Omsg_OMPair(c_Message_Omsg_OKey(v_K), c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NA), c_Message_Omsg_ONonce(v_NB))))), v_X), c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy, v_evs4))), true, c_Message_Omsg_OCrypt(c_Public_OshrK(v_A), c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_B), c_Message_Omsg_OMPair(c_Message_Omsg_OKey(v_K), c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NA), c_Message_Omsg_ONonce(v_NB))))), c_Event_Oknows(c_Message_Oagent_OSpy, v_evs4)), true, c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_B), c_Message_Omsg_OMPair(c_Message_Omsg_OKey(v_K), c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NA), c_Message_Omsg_ONonce(v_NB)))), c_Event_Oknows(c_Message_Oagent_OSpy, v_evs4)), true, c_Message_Omsg_OMPair(c_Message_Omsg_OKey(v_K), c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NA), c_Message_Omsg_ONonce(v_NB))), c_Event_Oknows(c_Message_Oagent_OSpy, v_evs4)), true, c_Message_Omsg_OKey(v_K), c_Event_Oknows(c_Message_Oagent_OSpy, v_evs4)), true, c_Message_Omsg_OKey(v_K), v_evs4)
% 0.17/0.40 = { by axiom 9 (cls_Message_Oparts_OInj_0) }
% 0.17/0.40 fresh6(fresh5(fresh7(fresh4(fresh5(true, true, c_Message_Omsg_OCrypt(c_Public_OshrK(v_A), c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_B), c_Message_Omsg_OMPair(c_Message_Omsg_OKey(v_K), c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NA), c_Message_Omsg_ONonce(v_NB))))), c_Event_Oknows(c_Message_Oagent_OSpy, v_evs4)), true, c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_B), c_Message_Omsg_OMPair(c_Message_Omsg_OKey(v_K), c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NA), c_Message_Omsg_ONonce(v_NB)))), c_Event_Oknows(c_Message_Oagent_OSpy, v_evs4)), true, c_Message_Omsg_OMPair(c_Message_Omsg_OKey(v_K), c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NA), c_Message_Omsg_ONonce(v_NB))), c_Event_Oknows(c_Message_Oagent_OSpy, v_evs4)), true, c_Message_Omsg_OKey(v_K), c_Event_Oknows(c_Message_Oagent_OSpy, v_evs4)), true, c_Message_Omsg_OKey(v_K), v_evs4)
% 0.17/0.40 = { by axiom 7 (cls_Message_OMPair__parts_1) }
% 0.17/0.40 fresh6(fresh5(fresh7(fresh4(true, true, c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_B), c_Message_Omsg_OMPair(c_Message_Omsg_OKey(v_K), c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NA), c_Message_Omsg_ONonce(v_NB)))), c_Event_Oknows(c_Message_Oagent_OSpy, v_evs4)), true, c_Message_Omsg_OMPair(c_Message_Omsg_OKey(v_K), c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NA), c_Message_Omsg_ONonce(v_NB))), c_Event_Oknows(c_Message_Oagent_OSpy, v_evs4)), true, c_Message_Omsg_OKey(v_K), c_Event_Oknows(c_Message_Oagent_OSpy, v_evs4)), true, c_Message_Omsg_OKey(v_K), v_evs4)
% 0.17/0.40 = { by axiom 8 (cls_Message_Oparts_OBody__dest_0) }
% 0.17/0.40 fresh6(fresh5(fresh7(true, true, c_Message_Omsg_OMPair(c_Message_Omsg_OKey(v_K), c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NA), c_Message_Omsg_ONonce(v_NB))), c_Event_Oknows(c_Message_Oagent_OSpy, v_evs4)), true, c_Message_Omsg_OKey(v_K), c_Event_Oknows(c_Message_Oagent_OSpy, v_evs4)), true, c_Message_Omsg_OKey(v_K), v_evs4)
% 0.17/0.40 = { by axiom 5 (cls_Message_OMPair__parts_0) }
% 0.17/0.40 fresh6(fresh5(true, true, c_Message_Omsg_OKey(v_K), c_Event_Oknows(c_Message_Oagent_OSpy, v_evs4)), true, c_Message_Omsg_OKey(v_K), v_evs4)
% 0.17/0.40 = { by axiom 7 (cls_Message_OMPair__parts_1) }
% 0.17/0.40 fresh6(true, true, c_Message_Omsg_OKey(v_K), v_evs4)
% 0.17/0.40 = { by axiom 6 (cls_Event_Oc_A_58_Aparts_A_Iknows_ASpy_Aevs1_J_A_61_61_62_Ac_A_58_Aused_Aevs1_0) }
% 0.17/0.40 true
% 0.17/0.40 % SZS output end Proof
% 0.17/0.40
% 0.17/0.40 RESULT: Unsatisfiable (the axioms are contradictory).
%------------------------------------------------------------------------------