TSTP Solution File: SWV757-1 by Twee---2.4.2
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- Process Solution
%------------------------------------------------------------------------------
% File : Twee---2.4.2
% Problem : SWV757-1 : TPTP v8.1.2. Released v4.1.0.
% 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 : n007.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 23:06:09 EDT 2023
% Result : Unsatisfiable 139.27s 17.91s
% Output : Proof 139.96s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SWV757-1 : TPTP v8.1.2. Released v4.1.0.
% 0.07/0.13 % Command : parallel-twee %s --tstp --conditional-encoding if --smaller --drop-non-horn --give-up-on-saturation --explain-encoding --formal-proof
% 0.13/0.34 % Computer : n007.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Tue Aug 29 08:57:28 EDT 2023
% 0.13/0.35 % CPUTime :
% 139.27/17.91 Command-line arguments: --set-join --lhs-weight 1 --no-flatten-goal --complete-subsets --goal-heuristic
% 139.27/17.91
% 139.27/17.91 % SZS status Unsatisfiable
% 139.27/17.91
% 139.27/17.92 % SZS output start Proof
% 139.27/17.92 Take the following subset of the input axioms:
% 139.27/17.93 fof(cls_ComplD_0, axiom, ![V_A, V_c, T_a]: (~hBOOL(c_in(V_c, V_A, T_a)) | ~hBOOL(c_in(V_c, c_HOL_Ouminus__class_Ouminus(V_A, tc_fun(T_a, tc_bool)), T_a)))).
% 139.27/17.93 fof(cls_Crypt__notin__image__Key_0, axiom, ![V_X, V_K, V_A2]: ~hBOOL(c_in(c_Message_Omsg_OCrypt(V_K, V_X), c_Set_Oimage(c_Message_Omsg_OKey, V_A2, tc_nat, tc_Message_Omsg), tc_Message_Omsg))).
% 139.27/17.93 fof(cls_Crypt__notin__initState_0, axiom, ![V_B, V_X2, V_K2]: ~hBOOL(c_in(c_Message_Omsg_OCrypt(V_K2, V_X2), c_Message_Oparts(c_Event_OinitState(V_B)), tc_Message_Omsg))).
% 139.27/17.93 fof(cls_Crypt__notin__used__empty_0, axiom, ![V_X2, V_K2]: ~hBOOL(c_in(c_Message_Omsg_OCrypt(V_K2, V_X2), c_Event_Oused(c_List_Olist_ONil(tc_Event_Oevent)), tc_Message_Omsg))).
% 139.27/17.93 fof(cls_List_Oset_Osimps_I2_J_0, axiom, ![V_x, V_xs, T_a2]: c_List_Oset(c_List_Olist_OCons(V_x, V_xs, T_a2), T_a2)=c_Set_Oinsert(V_x, c_List_Oset(V_xs, T_a2), T_a2)).
% 139.27/17.93 fof(cls_Nonce__Key__image__eq_0, axiom, ![V_A2, V_x2]: ~hBOOL(c_in(c_Message_Omsg_ONonce(V_x2), c_Set_Oimage(c_Message_Omsg_OKey, V_A2, tc_nat, tc_Message_Omsg), tc_Message_Omsg))).
% 139.27/17.93 fof(cls_Nonce__notin__initState_0, axiom, ![V_N, V_B2]: ~hBOOL(c_in(c_Message_Omsg_ONonce(V_N), c_Message_Oparts(c_Event_OinitState(V_B2)), tc_Message_Omsg))).
% 139.27/17.93 fof(cls_Nonce__notin__used__empty_0, axiom, ![V_N2]: ~hBOOL(c_in(c_Message_Omsg_ONonce(V_N2), c_Event_Oused(c_List_Olist_ONil(tc_Event_Oevent)), tc_Message_Omsg))).
% 139.27/17.93 fof(cls_Nonce__supply1_0, axiom, ![V_evs]: ~hBOOL(c_in(c_Message_Omsg_ONonce(c_Public_Osko__Public__XNonce__supply1__1__1(V_evs)), c_Event_Oused(V_evs), tc_Message_Omsg))).
% 139.27/17.93 fof(cls_Notes__imp__used_0, axiom, ![V_evs2, V_A2, V_X2]: (hBOOL(c_in(V_X2, c_Event_Oused(V_evs2), tc_Message_Omsg)) | ~hBOOL(c_in(c_Event_Oevent_ONotes(V_A2, V_X2), c_List_Oset(V_evs2, tc_Event_Oevent), tc_Event_Oevent)))).
% 139.27/17.93 fof(cls_Says__Server__message__form_0, axiom, ![V_K_H, V_evs2, V_A2, V_B2, V_X2, V_K2, V_N2]: (~hBOOL(c_in(V_K2, c_Set_Oimage(c_Public_OshrK, c_Orderings_Otop__class_Otop(tc_fun(tc_Message_Oagent, tc_bool)), tc_Message_Oagent, tc_nat), tc_nat)) | (~hBOOL(c_in(V_evs2, c_NS__Shared__Mirabelle_Ons__shared, tc_List_Olist(tc_Event_Oevent))) | ~hBOOL(c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer, V_A2, c_Message_Omsg_OCrypt(V_K_H, c_Message_Omsg_OMPair(V_N2, c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(V_B2), c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey, V_K2), V_X2))))), c_List_Oset(V_evs2, tc_Event_Oevent), tc_Event_Oevent))))).
% 139.27/17.93 fof(cls_UNIV__not__empty_0, axiom, ![T_a2]: c_Orderings_Otop__class_Otop(tc_fun(T_a2, tc_bool))!=c_Orderings_Obot__class_Obot(tc_fun(T_a2, tc_bool))).
% 139.27/17.93 fof(cls_agent_Osimps_I2_J_0, axiom, ![V_nat_H]: c_Message_Oagent_OServer!=c_Message_Oagent_OFriend(V_nat_H)).
% 139.27/17.93 fof(cls_agent_Osimps_I3_J_0, axiom, ![V_nat_H2]: c_Message_Oagent_OFriend(V_nat_H2)!=c_Message_Oagent_OServer).
% 139.27/17.93 fof(cls_agent_Osimps_I6_J_0, axiom, ![V_nat]: c_Message_Oagent_OFriend(V_nat)!=c_Message_Oagent_OSpy).
% 139.27/17.93 fof(cls_agent_Osimps_I7_J_0, axiom, ![V_nat2]: c_Message_Oagent_OSpy!=c_Message_Oagent_OFriend(V_nat2)).
% 139.27/17.93 fof(cls_bex__empty_0, axiom, ![V_P, V_x2, T_a2]: (~hBOOL(hAPP(V_P, V_x2)) | ~hBOOL(c_in(V_x2, c_Orderings_Obot__class_Obot(tc_fun(T_a2, tc_bool)), T_a2)))).
% 139.27/17.93 fof(cls_bot1E_0, axiom, ![V_x2, T_a2]: ~hBOOL(hAPP(c_Orderings_Obot__class_Obot(tc_fun(T_a2, tc_bool)), V_x2))).
% 139.27/17.93 fof(cls_emptyE_0, axiom, ![V_a, T_a2]: ~hBOOL(c_in(V_a, c_Orderings_Obot__class_Obot(tc_fun(T_a2, tc_bool)), T_a2))).
% 139.27/17.93 fof(cls_empty__iff_0, axiom, ![V_c2, T_a2]: ~hBOOL(c_in(V_c2, c_Orderings_Obot__class_Obot(tc_fun(T_a2, tc_bool)), T_a2))).
% 139.27/17.93 fof(cls_empty__not__insert_0, axiom, ![V_A2, T_a2, V_a2]: c_Orderings_Obot__class_Obot(tc_fun(T_a2, tc_bool))!=c_Set_Oinsert(V_a2, V_A2, T_a2)).
% 139.27/17.93 fof(cls_event_Osimps_I4_J_0, axiom, ![V_agent_H, V_msg_H, V_agent1, V_agent2, V_msg]: c_Event_Oevent_OSays(V_agent1, V_agent2, V_msg)!=c_Event_Oevent_OGets(V_agent_H, V_msg_H)).
% 139.27/17.93 fof(cls_event_Osimps_I5_J_0, axiom, ![V_msg_H2, V_agent_H2, V_msg3, V_agent1_2, V_agent2_2]: c_Event_Oevent_OGets(V_agent_H2, V_msg_H2)!=c_Event_Oevent_OSays(V_agent1_2, V_agent2_2, V_msg3)).
% 139.27/17.93 fof(cls_event_Osimps_I6_J_0, axiom, ![V_msg_H2, V_agent_H2, V_msg3, V_agent1_2, V_agent2_2]: c_Event_Oevent_OSays(V_agent1_2, V_agent2_2, V_msg3)!=c_Event_Oevent_ONotes(V_agent_H2, V_msg_H2)).
% 139.27/17.93 fof(cls_event_Osimps_I7_J_0, axiom, ![V_msg_H2, V_agent_H2, V_msg3, V_agent1_2, V_agent2_2]: c_Event_Oevent_ONotes(V_agent_H2, V_msg_H2)!=c_Event_Oevent_OSays(V_agent1_2, V_agent2_2, V_msg3)).
% 139.27/17.93 fof(cls_event_Osimps_I8_J_0, axiom, ![V_agent, V_msg_H2, V_agent_H2, V_msg3]: c_Event_Oevent_OGets(V_agent, V_msg3)!=c_Event_Oevent_ONotes(V_agent_H2, V_msg_H2)).
% 139.27/17.93 fof(cls_event_Osimps_I9_J_0, axiom, ![V_msg_H2, V_agent3, V_agent_H2, V_msg3]: c_Event_Oevent_ONotes(V_agent_H2, V_msg_H2)!=c_Event_Oevent_OGets(V_agent3, V_msg3)).
% 139.27/17.93 fof(cls_ex__in__conv_0, axiom, ![V_x2, T_a2]: ~hBOOL(c_in(V_x2, c_Orderings_Obot__class_Obot(tc_fun(T_a2, tc_bool)), T_a2))).
% 139.27/17.93 fof(cls_insert__code_1, axiom, ![V_A2, V_x2, T_a2]: hBOOL(hAPP(c_Set_Oinsert(V_x2, V_A2, T_a2), V_x2))).
% 139.27/17.93 fof(cls_insert__code_2, axiom, ![V_y, V_A2, V_x2, T_a2]: (hBOOL(hAPP(c_Set_Oinsert(V_y, V_A2, T_a2), V_x2)) | ~hBOOL(hAPP(V_A2, V_x2)))).
% 139.27/17.93 fof(cls_insert__not__empty_0, axiom, ![V_A2, T_a2, V_a2]: c_Set_Oinsert(V_a2, V_A2, T_a2)!=c_Orderings_Obot__class_Obot(tc_fun(T_a2, tc_bool))).
% 139.27/17.93 fof(cls_keymode_Oinduct_0, axiom, ![V_keymode, V_P2]: (hBOOL(hAPP(V_P2, V_keymode)) | (~hBOOL(hAPP(V_P2, c_Public_Okeymode_OEncryption)) | ~hBOOL(hAPP(V_P2, c_Public_Okeymode_OSignature))))).
% 139.27/17.93 fof(cls_list_Osimps_I2_J_0, axiom, ![V_a_H, V_list_H, T_a2]: c_List_Olist_ONil(T_a2)!=c_List_Olist_OCons(V_a_H, V_list_H, T_a2)).
% 139.27/17.93 fof(cls_list_Osimps_I3_J_0, axiom, ![T_a2, V_a_H2, V_list_H2]: c_List_Olist_OCons(V_a_H2, V_list_H2, T_a2)!=c_List_Olist_ONil(T_a2)).
% 139.27/17.93 fof(cls_mem__def_1, axiom, ![V_S, V_x2, T_a2]: (hBOOL(c_in(V_x2, V_S, T_a2)) | ~hBOOL(hAPP(V_S, V_x2)))).
% 139.27/17.93 fof(cls_msg_Osimps_I10_J_0, axiom, ![V_nat_H2, V_agent3]: c_Message_Omsg_OAgent(V_agent3)!=c_Message_Omsg_ONonce(V_nat_H2)).
% 139.27/17.93 fof(cls_msg_Osimps_I11_J_0, axiom, ![V_nat_H2, V_agent3]: c_Message_Omsg_ONonce(V_nat_H2)!=c_Message_Omsg_OAgent(V_agent3)).
% 139.27/17.94 fof(cls_msg_Osimps_I12_J_0, axiom, ![V_nat_H2, V_agent3]: c_Message_Omsg_OAgent(V_agent3)!=hAPP(c_Message_Omsg_OKey, V_nat_H2)).
% 139.27/17.94 fof(cls_msg_Osimps_I13_J_0, axiom, ![V_nat_H2, V_agent3]: hAPP(c_Message_Omsg_OKey, V_nat_H2)!=c_Message_Omsg_OAgent(V_agent3)).
% 139.27/17.94 fof(cls_msg_Osimps_I16_J_0, axiom, ![V_msg1_H, V_msg2_H, V_agent3]: c_Message_Omsg_OAgent(V_agent3)!=c_Message_Omsg_OMPair(V_msg1_H, V_msg2_H)).
% 139.27/17.94 fof(cls_msg_Osimps_I17_J_0, axiom, ![V_msg1_H2, V_msg2_H2, V_agent3]: c_Message_Omsg_OMPair(V_msg1_H2, V_msg2_H2)!=c_Message_Omsg_OAgent(V_agent3)).
% 139.27/17.94 fof(cls_msg_Osimps_I18_J_0, axiom, ![V_nat_H2, V_msg_H2, V_agent3]: c_Message_Omsg_OAgent(V_agent3)!=c_Message_Omsg_OCrypt(V_nat_H2, V_msg_H2)).
% 139.27/17.94 fof(cls_msg_Osimps_I19_J_0, axiom, ![V_nat_H2, V_msg_H2, V_agent3]: c_Message_Omsg_OCrypt(V_nat_H2, V_msg_H2)!=c_Message_Omsg_OAgent(V_agent3)).
% 139.27/17.94 fof(cls_msg_Osimps_I30_J_0, axiom, ![V_nat_H2, V_nat2]: c_Message_Omsg_ONonce(V_nat2)!=hAPP(c_Message_Omsg_OKey, V_nat_H2)).
% 139.27/17.94 fof(cls_msg_Osimps_I31_J_0, axiom, ![V_nat_H2, V_nat2]: hAPP(c_Message_Omsg_OKey, V_nat_H2)!=c_Message_Omsg_ONonce(V_nat2)).
% 139.27/17.94 fof(cls_msg_Osimps_I34_J_0, axiom, ![V_nat2, V_msg1_H2, V_msg2_H2]: c_Message_Omsg_ONonce(V_nat2)!=c_Message_Omsg_OMPair(V_msg1_H2, V_msg2_H2)).
% 139.27/17.94 fof(cls_msg_Osimps_I35_J_0, axiom, ![V_nat2, V_msg1_H2, V_msg2_H2]: c_Message_Omsg_OMPair(V_msg1_H2, V_msg2_H2)!=c_Message_Omsg_ONonce(V_nat2)).
% 139.27/17.94 fof(cls_msg_Osimps_I36_J_0, axiom, ![V_nat_H2, V_msg_H2, V_nat2]: c_Message_Omsg_ONonce(V_nat2)!=c_Message_Omsg_OCrypt(V_nat_H2, V_msg_H2)).
% 139.27/17.94 fof(cls_msg_Osimps_I37_J_0, axiom, ![V_nat_H2, V_msg_H2, V_nat2]: c_Message_Omsg_OCrypt(V_nat_H2, V_msg_H2)!=c_Message_Omsg_ONonce(V_nat2)).
% 139.27/17.94 fof(cls_msg_Osimps_I40_J_0, axiom, ![V_nat2, V_msg1_H2, V_msg2_H2]: hAPP(c_Message_Omsg_OKey, V_nat2)!=c_Message_Omsg_OMPair(V_msg1_H2, V_msg2_H2)).
% 139.27/17.94 fof(cls_msg_Osimps_I41_J_0, axiom, ![V_nat2, V_msg1_H2, V_msg2_H2]: c_Message_Omsg_OMPair(V_msg1_H2, V_msg2_H2)!=hAPP(c_Message_Omsg_OKey, V_nat2)).
% 139.27/17.94 fof(cls_msg_Osimps_I42_J_0, axiom, ![V_nat_H2, V_msg_H2, V_nat2]: hAPP(c_Message_Omsg_OKey, V_nat2)!=c_Message_Omsg_OCrypt(V_nat_H2, V_msg_H2)).
% 139.27/17.94 fof(cls_msg_Osimps_I43_J_0, axiom, ![V_nat_H2, V_msg_H2, V_nat2]: c_Message_Omsg_OCrypt(V_nat_H2, V_msg_H2)!=hAPP(c_Message_Omsg_OKey, V_nat2)).
% 139.27/17.94 fof(cls_msg_Osimps_I48_J_0, axiom, ![V_msg1, V_msg2, V_nat_H2, V_msg_H2]: c_Message_Omsg_OMPair(V_msg1, V_msg2)!=c_Message_Omsg_OCrypt(V_nat_H2, V_msg_H2)).
% 139.27/17.94 fof(cls_msg_Osimps_I49_J_0, axiom, ![V_nat_H2, V_msg_H2, V_msg1_2, V_msg2_2]: c_Message_Omsg_OCrypt(V_nat_H2, V_msg_H2)!=c_Message_Omsg_OMPair(V_msg1_2, V_msg2_2)).
% 139.27/17.94 fof(cls_neq__Nil__conv_1, axiom, ![V_xa, V_x2, T_a2]: c_List_Olist_OCons(V_x2, V_xa, T_a2)!=c_List_Olist_ONil(T_a2)).
% 139.27/17.94 fof(cls_not__Cons__self2_0, axiom, ![V_t, V_x2, T_a2]: c_List_Olist_OCons(V_x2, V_t, T_a2)!=V_t).
% 139.27/17.94 fof(cls_not__Cons__self_0, axiom, ![V_x2, T_a2, V_xs2]: V_xs2!=c_List_Olist_OCons(V_x2, V_xs2, T_a2)).
% 139.27/17.94 fof(cls_not__symKeys__priK_0, axiom, ![V_b, V_A2]: ~hBOOL(c_in(hAPP(c_Message_OinvKey, hAPP(c_Public_OpublicKey(V_b), V_A2)), c_Message_OsymKeys, tc_nat))).
% 139.27/17.94 fof(cls_not__symKeys__pubK_0, axiom, ![V_A2, V_b2]: ~hBOOL(c_in(hAPP(c_Public_OpublicKey(V_b2), V_A2), c_Message_OsymKeys, tc_nat))).
% 139.27/17.94 fof(cls_parts__emptyE_0, axiom, ![V_X2]: ~hBOOL(c_in(V_X2, c_Message_Oparts(c_Orderings_Obot__class_Obot(tc_fun(tc_Message_Omsg, tc_bool))), tc_Message_Omsg))).
% 139.27/17.94 fof(cls_priEK__noteq__shrK_0, axiom, ![V_A2, V_B2]: hAPP(c_Message_OinvKey, hAPP(c_Public_OpublicKey(c_Public_Okeymode_OEncryption), V_A2))!=hAPP(c_Public_OshrK, V_B2)).
% 139.27/17.94 fof(cls_priK__neq__shrK_0, axiom, ![V_C, V_A2, V_b2]: hAPP(c_Public_OshrK, V_A2)!=hAPP(c_Message_OinvKey, hAPP(c_Public_OpublicKey(V_b2), V_C))).
% 139.27/17.94 fof(cls_privateKey__neq__publicKey_0, axiom, ![V_A_H, V_A2, V_b2, V_c2]: hAPP(c_Message_OinvKey, hAPP(c_Public_OpublicKey(V_b2), V_A2))!=hAPP(c_Public_OpublicKey(V_c2), V_A_H)).
% 139.27/17.94 fof(cls_privateKey__notin__image__publicKey_0, axiom, ![V_AA, V_x2, V_b2, V_c2]: ~hBOOL(c_in(hAPP(c_Message_OinvKey, hAPP(c_Public_OpublicKey(V_b2), V_x2)), c_Set_Oimage(c_Public_OpublicKey(V_c2), V_AA, tc_Message_Oagent, tc_nat), tc_nat))).
% 139.27/17.94 fof(cls_privateKey__notin__image__shrK_0, axiom, ![V_x2, V_b2, V_AA2]: ~hBOOL(c_in(hAPP(c_Message_OinvKey, hAPP(c_Public_OpublicKey(V_b2), V_x2)), c_Set_Oimage(c_Public_OshrK, V_AA2, tc_Message_Oagent, tc_nat), tc_nat))).
% 139.27/17.94 fof(cls_pubK__neq__shrK_0, axiom, ![V_A2, V_b2, V_C2]: hAPP(c_Public_OshrK, V_A2)!=hAPP(c_Public_OpublicKey(V_b2), V_C2)).
% 139.27/17.94 fof(cls_publicKey__neq__privateKey_0, axiom, ![V_A2, V_b2, V_c2, V_A_H2]: hAPP(c_Public_OpublicKey(V_c2), V_A_H2)!=hAPP(c_Message_OinvKey, hAPP(c_Public_OpublicKey(V_b2), V_A2))).
% 139.27/17.94 fof(cls_publicKey__notin__image__privateKey_0, axiom, ![V_AS, V_A2, V_b2, V_c2]: ~hBOOL(c_in(hAPP(c_Public_OpublicKey(V_b2), V_A2), c_Set_Oimage(c_Message_OinvKey, c_Set_Oimage(c_Public_OpublicKey(V_c2), V_AS, tc_Message_Oagent, tc_nat), tc_nat, tc_nat), tc_nat))).
% 139.27/17.94 fof(cls_publicKey__notin__image__shrK_0, axiom, ![V_x2, V_b2, V_AA2]: ~hBOOL(c_in(hAPP(c_Public_OpublicKey(V_b2), V_x2), c_Set_Oimage(c_Public_OshrK, V_AA2, tc_Message_Oagent, tc_nat), tc_nat))).
% 139.27/17.94 fof(cls_shrK__neq__priK_0, axiom, ![V_A2, V_b2, V_C2]: hAPP(c_Message_OinvKey, hAPP(c_Public_OpublicKey(V_b2), V_C2))!=hAPP(c_Public_OshrK, V_A2)).
% 139.27/17.94 fof(cls_shrK__neq__pubK_0, axiom, ![V_A2, V_b2, V_C2]: hAPP(c_Public_OpublicKey(V_b2), V_C2)!=hAPP(c_Public_OshrK, V_A2)).
% 139.27/17.94 fof(cls_shrK__notin__image__privateKey_0, axiom, ![V_x2, V_b2, V_AA2]: ~hBOOL(c_in(hAPP(c_Public_OshrK, V_x2), c_Set_Oimage(c_Message_OinvKey, c_Set_Oimage(c_Public_OpublicKey(V_b2), V_AA2, tc_Message_Oagent, tc_nat), tc_nat, tc_nat), tc_nat))).
% 139.27/17.94 fof(cls_shrK__notin__image__publicKey_0, axiom, ![V_x2, V_b2, V_AA2]: ~hBOOL(c_in(hAPP(c_Public_OshrK, V_x2), c_Set_Oimage(c_Public_OpublicKey(V_b2), V_AA2, tc_Message_Oagent, tc_nat), tc_nat))).
% 139.27/17.94 fof(cls_symKey__neq__priEK_0, axiom, ![V_A2]: ~hBOOL(c_in(hAPP(c_Message_OinvKey, hAPP(c_Public_OpublicKey(c_Public_Okeymode_OEncryption), V_A2)), c_Message_OsymKeys, tc_nat))).
% 139.27/17.94
% 139.27/17.94 Now clausify the problem and encode Horn clauses using encoding 3 of
% 139.27/17.94 http://www.cse.chalmers.se/~nicsma/papers/horn.pdf.
% 139.27/17.94 We repeatedly replace C & s=t => u=v by the two clauses:
% 139.27/17.94 fresh(y, y, x1...xn) = u
% 139.27/17.94 C => fresh(s, t, x1...xn) = v
% 139.27/17.94 where fresh is a fresh function symbol and x1..xn are the free
% 139.27/17.94 variables of u and v.
% 139.27/17.94 A predicate p(X) is encoded as p(X)=true (this is sound, because the
% 139.27/17.94 input problem has no model of domain size 1).
% 139.27/17.94
% 139.27/17.94 The encoding turns the above axioms into the following unit equations and goals:
% 139.27/17.94
% 139.27/17.94 Axiom 1 (cls_Notes__imp__used_0): fresh311(X, X, Y, Z) = true2.
% 139.27/17.94 Axiom 2 (cls_keymode_Oinduct_0): fresh216(X, X, Y, Z) = hBOOL(hAPP(Y, Z)).
% 139.27/17.94 Axiom 3 (cls_keymode_Oinduct_0): fresh215(X, X, Y, Z) = true2.
% 139.27/17.94 Axiom 4 (cls_mem__def_1): fresh186(X, X, Y, Z, W) = true2.
% 139.27/17.94 Axiom 5 (cls_List_Oset_Osimps_I2_J_0): c_List_Oset(c_List_Olist_OCons(X, Y, Z), Z) = c_Set_Oinsert(X, c_List_Oset(Y, Z), Z).
% 139.27/17.94 Axiom 6 (cls_insert__code_2): fresh226(X, X, Y, Z, W, V) = true2.
% 139.27/17.94 Axiom 7 (cls_insert__code_1): hBOOL(hAPP(c_Set_Oinsert(X, Y, Z), X)) = true2.
% 139.27/17.94 Axiom 8 (cls_keymode_Oinduct_0): fresh216(hBOOL(hAPP(X, c_Public_Okeymode_OEncryption)), true2, X, Y) = fresh215(hBOOL(hAPP(X, c_Public_Okeymode_OSignature)), true2, X, Y).
% 139.27/17.94 Axiom 9 (cls_mem__def_1): fresh186(hBOOL(hAPP(X, Y)), true2, Y, X, Z) = hBOOL(c_in(Y, X, Z)).
% 139.27/17.94 Axiom 10 (cls_insert__code_2): fresh226(hBOOL(hAPP(X, Y)), true2, Z, X, W, Y) = hBOOL(hAPP(c_Set_Oinsert(Z, X, W), Y)).
% 139.27/17.94 Axiom 11 (cls_Notes__imp__used_0): fresh311(hBOOL(c_in(c_Event_Oevent_ONotes(X, Y), c_List_Oset(Z, tc_Event_Oevent), tc_Event_Oevent)), true2, Y, Z) = hBOOL(c_in(Y, c_Event_Oused(Z), tc_Message_Omsg)).
% 139.27/17.94
% 139.27/17.94 Goal 1 (cls_Nonce__supply1_0): hBOOL(c_in(c_Message_Omsg_ONonce(c_Public_Osko__Public__XNonce__supply1__1__1(X)), c_Event_Oused(X), tc_Message_Omsg)) = true2.
% 139.27/17.94 The goal is true when:
% 139.27/17.94 X = c_List_Olist_OCons(c_Public_Okeymode_OSignature, c_List_Olist_OCons(c_Public_Okeymode_OEncryption, X, tc_Event_Oevent), tc_Event_Oevent)
% 139.27/17.94
% 139.27/17.94 Proof:
% 139.27/17.94 hBOOL(c_in(c_Message_Omsg_ONonce(c_Public_Osko__Public__XNonce__supply1__1__1(c_List_Olist_OCons(c_Public_Okeymode_OSignature, c_List_Olist_OCons(c_Public_Okeymode_OEncryption, X, tc_Event_Oevent), tc_Event_Oevent))), c_Event_Oused(c_List_Olist_OCons(c_Public_Okeymode_OSignature, c_List_Olist_OCons(c_Public_Okeymode_OEncryption, X, tc_Event_Oevent), tc_Event_Oevent)), tc_Message_Omsg))
% 139.27/17.94 = { by axiom 11 (cls_Notes__imp__used_0) R->L }
% 139.27/17.94 fresh311(hBOOL(c_in(c_Event_Oevent_ONotes(Y, c_Message_Omsg_ONonce(c_Public_Osko__Public__XNonce__supply1__1__1(c_List_Olist_OCons(c_Public_Okeymode_OSignature, c_List_Olist_OCons(c_Public_Okeymode_OEncryption, X, tc_Event_Oevent), tc_Event_Oevent)))), c_List_Oset(c_List_Olist_OCons(c_Public_Okeymode_OSignature, c_List_Olist_OCons(c_Public_Okeymode_OEncryption, X, tc_Event_Oevent), tc_Event_Oevent), tc_Event_Oevent), tc_Event_Oevent)), true2, c_Message_Omsg_ONonce(c_Public_Osko__Public__XNonce__supply1__1__1(c_List_Olist_OCons(c_Public_Okeymode_OSignature, c_List_Olist_OCons(c_Public_Okeymode_OEncryption, X, tc_Event_Oevent), tc_Event_Oevent))), c_List_Olist_OCons(c_Public_Okeymode_OSignature, c_List_Olist_OCons(c_Public_Okeymode_OEncryption, X, tc_Event_Oevent), tc_Event_Oevent))
% 139.96/17.94 = { by axiom 9 (cls_mem__def_1) R->L }
% 139.96/17.94 fresh311(fresh186(hBOOL(hAPP(c_List_Oset(c_List_Olist_OCons(c_Public_Okeymode_OSignature, c_List_Olist_OCons(c_Public_Okeymode_OEncryption, X, tc_Event_Oevent), tc_Event_Oevent), tc_Event_Oevent), c_Event_Oevent_ONotes(Y, c_Message_Omsg_ONonce(c_Public_Osko__Public__XNonce__supply1__1__1(c_List_Olist_OCons(c_Public_Okeymode_OSignature, c_List_Olist_OCons(c_Public_Okeymode_OEncryption, X, tc_Event_Oevent), tc_Event_Oevent)))))), true2, c_Event_Oevent_ONotes(Y, c_Message_Omsg_ONonce(c_Public_Osko__Public__XNonce__supply1__1__1(c_List_Olist_OCons(c_Public_Okeymode_OSignature, c_List_Olist_OCons(c_Public_Okeymode_OEncryption, X, tc_Event_Oevent), tc_Event_Oevent)))), c_List_Oset(c_List_Olist_OCons(c_Public_Okeymode_OSignature, c_List_Olist_OCons(c_Public_Okeymode_OEncryption, X, tc_Event_Oevent), tc_Event_Oevent), tc_Event_Oevent), tc_Event_Oevent), true2, c_Message_Omsg_ONonce(c_Public_Osko__Public__XNonce__supply1__1__1(c_List_Olist_OCons(c_Public_Okeymode_OSignature, c_List_Olist_OCons(c_Public_Okeymode_OEncryption, X, tc_Event_Oevent), tc_Event_Oevent))), c_List_Olist_OCons(c_Public_Okeymode_OSignature, c_List_Olist_OCons(c_Public_Okeymode_OEncryption, X, tc_Event_Oevent), tc_Event_Oevent))
% 139.96/17.94 = { by axiom 5 (cls_List_Oset_Osimps_I2_J_0) }
% 139.96/17.94 fresh311(fresh186(hBOOL(hAPP(c_Set_Oinsert(c_Public_Okeymode_OSignature, c_List_Oset(c_List_Olist_OCons(c_Public_Okeymode_OEncryption, X, tc_Event_Oevent), tc_Event_Oevent), tc_Event_Oevent), c_Event_Oevent_ONotes(Y, c_Message_Omsg_ONonce(c_Public_Osko__Public__XNonce__supply1__1__1(c_List_Olist_OCons(c_Public_Okeymode_OSignature, c_List_Olist_OCons(c_Public_Okeymode_OEncryption, X, tc_Event_Oevent), tc_Event_Oevent)))))), true2, c_Event_Oevent_ONotes(Y, c_Message_Omsg_ONonce(c_Public_Osko__Public__XNonce__supply1__1__1(c_List_Olist_OCons(c_Public_Okeymode_OSignature, c_List_Olist_OCons(c_Public_Okeymode_OEncryption, X, tc_Event_Oevent), tc_Event_Oevent)))), c_List_Oset(c_List_Olist_OCons(c_Public_Okeymode_OSignature, c_List_Olist_OCons(c_Public_Okeymode_OEncryption, X, tc_Event_Oevent), tc_Event_Oevent), tc_Event_Oevent), tc_Event_Oevent), true2, c_Message_Omsg_ONonce(c_Public_Osko__Public__XNonce__supply1__1__1(c_List_Olist_OCons(c_Public_Okeymode_OSignature, c_List_Olist_OCons(c_Public_Okeymode_OEncryption, X, tc_Event_Oevent), tc_Event_Oevent))), c_List_Olist_OCons(c_Public_Okeymode_OSignature, c_List_Olist_OCons(c_Public_Okeymode_OEncryption, X, tc_Event_Oevent), tc_Event_Oevent))
% 139.96/17.94 = { by axiom 2 (cls_keymode_Oinduct_0) R->L }
% 139.96/17.94 fresh311(fresh186(fresh216(true2, true2, c_Set_Oinsert(c_Public_Okeymode_OSignature, c_List_Oset(c_List_Olist_OCons(c_Public_Okeymode_OEncryption, X, tc_Event_Oevent), tc_Event_Oevent), tc_Event_Oevent), c_Event_Oevent_ONotes(Y, c_Message_Omsg_ONonce(c_Public_Osko__Public__XNonce__supply1__1__1(c_List_Olist_OCons(c_Public_Okeymode_OSignature, c_List_Olist_OCons(c_Public_Okeymode_OEncryption, X, tc_Event_Oevent), tc_Event_Oevent))))), true2, c_Event_Oevent_ONotes(Y, c_Message_Omsg_ONonce(c_Public_Osko__Public__XNonce__supply1__1__1(c_List_Olist_OCons(c_Public_Okeymode_OSignature, c_List_Olist_OCons(c_Public_Okeymode_OEncryption, X, tc_Event_Oevent), tc_Event_Oevent)))), c_List_Oset(c_List_Olist_OCons(c_Public_Okeymode_OSignature, c_List_Olist_OCons(c_Public_Okeymode_OEncryption, X, tc_Event_Oevent), tc_Event_Oevent), tc_Event_Oevent), tc_Event_Oevent), true2, c_Message_Omsg_ONonce(c_Public_Osko__Public__XNonce__supply1__1__1(c_List_Olist_OCons(c_Public_Okeymode_OSignature, c_List_Olist_OCons(c_Public_Okeymode_OEncryption, X, tc_Event_Oevent), tc_Event_Oevent))), c_List_Olist_OCons(c_Public_Okeymode_OSignature, c_List_Olist_OCons(c_Public_Okeymode_OEncryption, X, tc_Event_Oevent), tc_Event_Oevent))
% 139.96/17.94 = { by axiom 6 (cls_insert__code_2) R->L }
% 139.96/17.94 fresh311(fresh186(fresh216(fresh226(true2, true2, c_Public_Okeymode_OSignature, c_List_Oset(c_List_Olist_OCons(c_Public_Okeymode_OEncryption, X, tc_Event_Oevent), tc_Event_Oevent), tc_Event_Oevent, c_Public_Okeymode_OEncryption), true2, c_Set_Oinsert(c_Public_Okeymode_OSignature, c_List_Oset(c_List_Olist_OCons(c_Public_Okeymode_OEncryption, X, tc_Event_Oevent), tc_Event_Oevent), tc_Event_Oevent), c_Event_Oevent_ONotes(Y, c_Message_Omsg_ONonce(c_Public_Osko__Public__XNonce__supply1__1__1(c_List_Olist_OCons(c_Public_Okeymode_OSignature, c_List_Olist_OCons(c_Public_Okeymode_OEncryption, X, tc_Event_Oevent), tc_Event_Oevent))))), true2, c_Event_Oevent_ONotes(Y, c_Message_Omsg_ONonce(c_Public_Osko__Public__XNonce__supply1__1__1(c_List_Olist_OCons(c_Public_Okeymode_OSignature, c_List_Olist_OCons(c_Public_Okeymode_OEncryption, X, tc_Event_Oevent), tc_Event_Oevent)))), c_List_Oset(c_List_Olist_OCons(c_Public_Okeymode_OSignature, c_List_Olist_OCons(c_Public_Okeymode_OEncryption, X, tc_Event_Oevent), tc_Event_Oevent), tc_Event_Oevent), tc_Event_Oevent), true2, c_Message_Omsg_ONonce(c_Public_Osko__Public__XNonce__supply1__1__1(c_List_Olist_OCons(c_Public_Okeymode_OSignature, c_List_Olist_OCons(c_Public_Okeymode_OEncryption, X, tc_Event_Oevent), tc_Event_Oevent))), c_List_Olist_OCons(c_Public_Okeymode_OSignature, c_List_Olist_OCons(c_Public_Okeymode_OEncryption, X, tc_Event_Oevent), tc_Event_Oevent))
% 139.96/17.94 = { by axiom 7 (cls_insert__code_1) R->L }
% 139.96/17.94 fresh311(fresh186(fresh216(fresh226(hBOOL(hAPP(c_Set_Oinsert(c_Public_Okeymode_OEncryption, c_List_Oset(X, tc_Event_Oevent), tc_Event_Oevent), c_Public_Okeymode_OEncryption)), true2, c_Public_Okeymode_OSignature, c_List_Oset(c_List_Olist_OCons(c_Public_Okeymode_OEncryption, X, tc_Event_Oevent), tc_Event_Oevent), tc_Event_Oevent, c_Public_Okeymode_OEncryption), true2, c_Set_Oinsert(c_Public_Okeymode_OSignature, c_List_Oset(c_List_Olist_OCons(c_Public_Okeymode_OEncryption, X, tc_Event_Oevent), tc_Event_Oevent), tc_Event_Oevent), c_Event_Oevent_ONotes(Y, c_Message_Omsg_ONonce(c_Public_Osko__Public__XNonce__supply1__1__1(c_List_Olist_OCons(c_Public_Okeymode_OSignature, c_List_Olist_OCons(c_Public_Okeymode_OEncryption, X, tc_Event_Oevent), tc_Event_Oevent))))), true2, c_Event_Oevent_ONotes(Y, c_Message_Omsg_ONonce(c_Public_Osko__Public__XNonce__supply1__1__1(c_List_Olist_OCons(c_Public_Okeymode_OSignature, c_List_Olist_OCons(c_Public_Okeymode_OEncryption, X, tc_Event_Oevent), tc_Event_Oevent)))), c_List_Oset(c_List_Olist_OCons(c_Public_Okeymode_OSignature, c_List_Olist_OCons(c_Public_Okeymode_OEncryption, X, tc_Event_Oevent), tc_Event_Oevent), tc_Event_Oevent), tc_Event_Oevent), true2, c_Message_Omsg_ONonce(c_Public_Osko__Public__XNonce__supply1__1__1(c_List_Olist_OCons(c_Public_Okeymode_OSignature, c_List_Olist_OCons(c_Public_Okeymode_OEncryption, X, tc_Event_Oevent), tc_Event_Oevent))), c_List_Olist_OCons(c_Public_Okeymode_OSignature, c_List_Olist_OCons(c_Public_Okeymode_OEncryption, X, tc_Event_Oevent), tc_Event_Oevent))
% 139.96/17.94 = { by axiom 5 (cls_List_Oset_Osimps_I2_J_0) R->L }
% 139.96/17.94 fresh311(fresh186(fresh216(fresh226(hBOOL(hAPP(c_List_Oset(c_List_Olist_OCons(c_Public_Okeymode_OEncryption, X, tc_Event_Oevent), tc_Event_Oevent), c_Public_Okeymode_OEncryption)), true2, c_Public_Okeymode_OSignature, c_List_Oset(c_List_Olist_OCons(c_Public_Okeymode_OEncryption, X, tc_Event_Oevent), tc_Event_Oevent), tc_Event_Oevent, c_Public_Okeymode_OEncryption), true2, c_Set_Oinsert(c_Public_Okeymode_OSignature, c_List_Oset(c_List_Olist_OCons(c_Public_Okeymode_OEncryption, X, tc_Event_Oevent), tc_Event_Oevent), tc_Event_Oevent), c_Event_Oevent_ONotes(Y, c_Message_Omsg_ONonce(c_Public_Osko__Public__XNonce__supply1__1__1(c_List_Olist_OCons(c_Public_Okeymode_OSignature, c_List_Olist_OCons(c_Public_Okeymode_OEncryption, X, tc_Event_Oevent), tc_Event_Oevent))))), true2, c_Event_Oevent_ONotes(Y, c_Message_Omsg_ONonce(c_Public_Osko__Public__XNonce__supply1__1__1(c_List_Olist_OCons(c_Public_Okeymode_OSignature, c_List_Olist_OCons(c_Public_Okeymode_OEncryption, X, tc_Event_Oevent), tc_Event_Oevent)))), c_List_Oset(c_List_Olist_OCons(c_Public_Okeymode_OSignature, c_List_Olist_OCons(c_Public_Okeymode_OEncryption, X, tc_Event_Oevent), tc_Event_Oevent), tc_Event_Oevent), tc_Event_Oevent), true2, c_Message_Omsg_ONonce(c_Public_Osko__Public__XNonce__supply1__1__1(c_List_Olist_OCons(c_Public_Okeymode_OSignature, c_List_Olist_OCons(c_Public_Okeymode_OEncryption, X, tc_Event_Oevent), tc_Event_Oevent))), c_List_Olist_OCons(c_Public_Okeymode_OSignature, c_List_Olist_OCons(c_Public_Okeymode_OEncryption, X, tc_Event_Oevent), tc_Event_Oevent))
% 139.96/17.94 = { by axiom 10 (cls_insert__code_2) }
% 139.96/17.94 fresh311(fresh186(fresh216(hBOOL(hAPP(c_Set_Oinsert(c_Public_Okeymode_OSignature, c_List_Oset(c_List_Olist_OCons(c_Public_Okeymode_OEncryption, X, tc_Event_Oevent), tc_Event_Oevent), tc_Event_Oevent), c_Public_Okeymode_OEncryption)), true2, c_Set_Oinsert(c_Public_Okeymode_OSignature, c_List_Oset(c_List_Olist_OCons(c_Public_Okeymode_OEncryption, X, tc_Event_Oevent), tc_Event_Oevent), tc_Event_Oevent), c_Event_Oevent_ONotes(Y, c_Message_Omsg_ONonce(c_Public_Osko__Public__XNonce__supply1__1__1(c_List_Olist_OCons(c_Public_Okeymode_OSignature, c_List_Olist_OCons(c_Public_Okeymode_OEncryption, X, tc_Event_Oevent), tc_Event_Oevent))))), true2, c_Event_Oevent_ONotes(Y, c_Message_Omsg_ONonce(c_Public_Osko__Public__XNonce__supply1__1__1(c_List_Olist_OCons(c_Public_Okeymode_OSignature, c_List_Olist_OCons(c_Public_Okeymode_OEncryption, X, tc_Event_Oevent), tc_Event_Oevent)))), c_List_Oset(c_List_Olist_OCons(c_Public_Okeymode_OSignature, c_List_Olist_OCons(c_Public_Okeymode_OEncryption, X, tc_Event_Oevent), tc_Event_Oevent), tc_Event_Oevent), tc_Event_Oevent), true2, c_Message_Omsg_ONonce(c_Public_Osko__Public__XNonce__supply1__1__1(c_List_Olist_OCons(c_Public_Okeymode_OSignature, c_List_Olist_OCons(c_Public_Okeymode_OEncryption, X, tc_Event_Oevent), tc_Event_Oevent))), c_List_Olist_OCons(c_Public_Okeymode_OSignature, c_List_Olist_OCons(c_Public_Okeymode_OEncryption, X, tc_Event_Oevent), tc_Event_Oevent))
% 139.96/17.94 = { by axiom 8 (cls_keymode_Oinduct_0) }
% 139.96/17.95 fresh311(fresh186(fresh215(hBOOL(hAPP(c_Set_Oinsert(c_Public_Okeymode_OSignature, c_List_Oset(c_List_Olist_OCons(c_Public_Okeymode_OEncryption, X, tc_Event_Oevent), tc_Event_Oevent), tc_Event_Oevent), c_Public_Okeymode_OSignature)), true2, c_Set_Oinsert(c_Public_Okeymode_OSignature, c_List_Oset(c_List_Olist_OCons(c_Public_Okeymode_OEncryption, X, tc_Event_Oevent), tc_Event_Oevent), tc_Event_Oevent), c_Event_Oevent_ONotes(Y, c_Message_Omsg_ONonce(c_Public_Osko__Public__XNonce__supply1__1__1(c_List_Olist_OCons(c_Public_Okeymode_OSignature, c_List_Olist_OCons(c_Public_Okeymode_OEncryption, X, tc_Event_Oevent), tc_Event_Oevent))))), true2, c_Event_Oevent_ONotes(Y, c_Message_Omsg_ONonce(c_Public_Osko__Public__XNonce__supply1__1__1(c_List_Olist_OCons(c_Public_Okeymode_OSignature, c_List_Olist_OCons(c_Public_Okeymode_OEncryption, X, tc_Event_Oevent), tc_Event_Oevent)))), c_List_Oset(c_List_Olist_OCons(c_Public_Okeymode_OSignature, c_List_Olist_OCons(c_Public_Okeymode_OEncryption, X, tc_Event_Oevent), tc_Event_Oevent), tc_Event_Oevent), tc_Event_Oevent), true2, c_Message_Omsg_ONonce(c_Public_Osko__Public__XNonce__supply1__1__1(c_List_Olist_OCons(c_Public_Okeymode_OSignature, c_List_Olist_OCons(c_Public_Okeymode_OEncryption, X, tc_Event_Oevent), tc_Event_Oevent))), c_List_Olist_OCons(c_Public_Okeymode_OSignature, c_List_Olist_OCons(c_Public_Okeymode_OEncryption, X, tc_Event_Oevent), tc_Event_Oevent))
% 139.96/17.95 = { by axiom 7 (cls_insert__code_1) }
% 139.96/17.95 fresh311(fresh186(fresh215(true2, true2, c_Set_Oinsert(c_Public_Okeymode_OSignature, c_List_Oset(c_List_Olist_OCons(c_Public_Okeymode_OEncryption, X, tc_Event_Oevent), tc_Event_Oevent), tc_Event_Oevent), c_Event_Oevent_ONotes(Y, c_Message_Omsg_ONonce(c_Public_Osko__Public__XNonce__supply1__1__1(c_List_Olist_OCons(c_Public_Okeymode_OSignature, c_List_Olist_OCons(c_Public_Okeymode_OEncryption, X, tc_Event_Oevent), tc_Event_Oevent))))), true2, c_Event_Oevent_ONotes(Y, c_Message_Omsg_ONonce(c_Public_Osko__Public__XNonce__supply1__1__1(c_List_Olist_OCons(c_Public_Okeymode_OSignature, c_List_Olist_OCons(c_Public_Okeymode_OEncryption, X, tc_Event_Oevent), tc_Event_Oevent)))), c_List_Oset(c_List_Olist_OCons(c_Public_Okeymode_OSignature, c_List_Olist_OCons(c_Public_Okeymode_OEncryption, X, tc_Event_Oevent), tc_Event_Oevent), tc_Event_Oevent), tc_Event_Oevent), true2, c_Message_Omsg_ONonce(c_Public_Osko__Public__XNonce__supply1__1__1(c_List_Olist_OCons(c_Public_Okeymode_OSignature, c_List_Olist_OCons(c_Public_Okeymode_OEncryption, X, tc_Event_Oevent), tc_Event_Oevent))), c_List_Olist_OCons(c_Public_Okeymode_OSignature, c_List_Olist_OCons(c_Public_Okeymode_OEncryption, X, tc_Event_Oevent), tc_Event_Oevent))
% 139.96/17.95 = { by axiom 3 (cls_keymode_Oinduct_0) }
% 139.96/17.95 fresh311(fresh186(true2, true2, c_Event_Oevent_ONotes(Y, c_Message_Omsg_ONonce(c_Public_Osko__Public__XNonce__supply1__1__1(c_List_Olist_OCons(c_Public_Okeymode_OSignature, c_List_Olist_OCons(c_Public_Okeymode_OEncryption, X, tc_Event_Oevent), tc_Event_Oevent)))), c_List_Oset(c_List_Olist_OCons(c_Public_Okeymode_OSignature, c_List_Olist_OCons(c_Public_Okeymode_OEncryption, X, tc_Event_Oevent), tc_Event_Oevent), tc_Event_Oevent), tc_Event_Oevent), true2, c_Message_Omsg_ONonce(c_Public_Osko__Public__XNonce__supply1__1__1(c_List_Olist_OCons(c_Public_Okeymode_OSignature, c_List_Olist_OCons(c_Public_Okeymode_OEncryption, X, tc_Event_Oevent), tc_Event_Oevent))), c_List_Olist_OCons(c_Public_Okeymode_OSignature, c_List_Olist_OCons(c_Public_Okeymode_OEncryption, X, tc_Event_Oevent), tc_Event_Oevent))
% 139.96/17.95 = { by axiom 4 (cls_mem__def_1) }
% 139.96/17.95 fresh311(true2, true2, c_Message_Omsg_ONonce(c_Public_Osko__Public__XNonce__supply1__1__1(c_List_Olist_OCons(c_Public_Okeymode_OSignature, c_List_Olist_OCons(c_Public_Okeymode_OEncryption, X, tc_Event_Oevent), tc_Event_Oevent))), c_List_Olist_OCons(c_Public_Okeymode_OSignature, c_List_Olist_OCons(c_Public_Okeymode_OEncryption, X, tc_Event_Oevent), tc_Event_Oevent))
% 139.96/17.95 = { by axiom 1 (cls_Notes__imp__used_0) }
% 139.96/17.95 true2
% 139.96/17.95 % SZS output end Proof
% 139.96/17.95
% 139.96/17.95 RESULT: Unsatisfiable (the axioms are contradictory).
%------------------------------------------------------------------------------