%------------------------------------------------------------------------------ % File : Moca---0.1 % Problem : SWV342-2 : TPTP v8.1.0. Released v3.2.0. % Transfm : none % Format : tptp:raw % Command : moca.sh %s % Computer : n019.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 : 600s % DateTime : Wed Jul 20 20:43:21 EDT 2022 % Result : Unsatisfiable 10.33s 10.27s % Output : Proof 10.33s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.07/0.11 % Problem : SWV342-2 : TPTP v8.1.0. Released v3.2.0. % 0.07/0.12 % Command : moca.sh %s % 0.12/0.33 % Computer : n019.cluster.edu % 0.12/0.33 % Model : x86_64 x86_64 % 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.12/0.33 % Memory : 8042.1875MB % 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64 % 0.12/0.33 % CPULimit : 300 % 0.12/0.33 % WCLimit : 600 % 0.12/0.33 % DateTime : Thu Jun 16 01:47:54 EDT 2022 % 0.12/0.33 % CPUTime : % 10.33/10.27 % SZS status Unsatisfiable % 10.33/10.27 % SZS output start Proof % 10.33/10.27 The input problem is unsatisfiable because % 10.33/10.27 % 10.33/10.27 [1] the following set of Horn clauses is unsatisfiable: % 10.33/10.27 % 10.33/10.27 c_in(c_Message_Omsg_OKey(v_K), c_Event_Oused(v_evs3), tc_Message_Omsg) ==> \bottom % 10.33/10.27 c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer, 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(v_na, v_nb)))), c_Message_Omsg_OCrypt(c_Public_OshrK(v_B), c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A), c_Message_Omsg_OKey(v_K))))), c_List_Oset(v_evs3, tc_Event_Oevent), tc_Event_Oevent) % 10.33/10.27 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) % 10.33/10.27 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) % 10.33/10.27 c_in(c_Message_Omsg_OMPair(V_X, V_Y), c_Message_Oanalz(V_H), tc_Message_Omsg) ==> c_in(V_Y, c_Message_Oanalz(V_H), tc_Message_Omsg) % 10.33/10.27 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) % 10.33/10.27 c_in(c_Message_Omsg_OCrypt(V_K, V_X), c_Message_Oparts(V_H), tc_Message_Omsg) ==> c_in(V_X, c_Message_Oparts(V_H), tc_Message_Omsg) % 10.33/10.27 c_in(V_X, V_H, tc_Message_Omsg) ==> c_in(V_X, c_Message_Oparts(V_H), tc_Message_Omsg) % 10.33/10.27 c_Message_Oparts(c_Message_Oanalz(V_H)) = c_Message_Oparts(V_H) % 10.33/10.27 % 10.33/10.27 This holds because % 10.33/10.27 % 10.33/10.27 [2] the following E entails the following G (Claessen-Smallbone's transformation (2018)): % 10.33/10.27 % 10.33/10.27 E: % 10.33/10.27 c_Message_Oparts(c_Message_Oanalz(V_H)) = c_Message_Oparts(V_H) % 10.33/10.27 c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer, 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(v_na, v_nb)))), c_Message_Omsg_OCrypt(c_Public_OshrK(v_B), c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A), c_Message_Omsg_OKey(v_K))))), c_List_Oset(v_evs3, tc_Event_Oevent), tc_Event_Oevent) = true__ % 10.33/10.27 f1(c_in(c_Message_Omsg_OKey(v_K), c_Event_Oused(v_evs3), tc_Message_Omsg)) = true__ % 10.33/10.27 f1(true__) = false__ % 10.33/10.27 f2(c_in(c_Event_Oevent_OSays(V_A, V_B, V_X), c_List_Oset(V_evs, tc_Event_Oevent), tc_Event_Oevent), V_X, V_evs) = true__ % 10.33/10.27 f2(true__, V_X, V_evs) = c_in(V_X, c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy, V_evs)), tc_Message_Omsg) % 10.33/10.27 f3(c_in(V_c, c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy, V_evs)), tc_Message_Omsg), V_c, V_evs) = true__ % 10.33/10.27 f3(true__, V_c, V_evs) = c_in(V_c, c_Event_Oused(V_evs), tc_Message_Omsg) % 10.33/10.27 f4(c_in(c_Message_Omsg_OMPair(V_X, V_Y), c_Message_Oanalz(V_H), tc_Message_Omsg), V_Y, V_H) = true__ % 10.33/10.27 f4(true__, V_Y, V_H) = c_in(V_Y, c_Message_Oanalz(V_H), tc_Message_Omsg) % 10.33/10.27 f5(c_in(c_Message_Omsg_OMPair(V_X, V_Y), c_Message_Oparts(V_H), tc_Message_Omsg), V_Y, V_H) = true__ % 10.33/10.27 f5(true__, V_Y, V_H) = c_in(V_Y, c_Message_Oparts(V_H), tc_Message_Omsg) % 10.33/10.27 f6(c_in(c_Message_Omsg_OCrypt(V_K, V_X), c_Message_Oparts(V_H), tc_Message_Omsg), V_X, V_H) = true__ % 10.33/10.27 f6(true__, V_X, V_H) = c_in(V_X, c_Message_Oparts(V_H), tc_Message_Omsg) % 10.33/10.27 f7(c_in(V_X, V_H, tc_Message_Omsg), V_X, V_H) = true__ % 10.33/10.27 f7(true__, V_X, V_H) = c_in(V_X, c_Message_Oparts(V_H), tc_Message_Omsg) % 10.33/10.27 G: % 10.33/10.27 true__ = false__ % 10.33/10.27 % 10.33/10.27 This holds because % 10.33/10.27 % 10.33/10.27 [3] E entails the following ordered TRS and the lhs and rhs of G join by the TRS: % 10.33/10.27 % 10.33/10.27 % 10.33/10.27 c_Message_Oparts(c_Message_Oanalz(V_H)) -> c_Message_Oparts(V_H) % 10.33/10.27 c_in(V_Y, c_Message_Oanalz(V_H), tc_Message_Omsg) -> f4(true__, V_Y, V_H) % 10.33/10.27 c_in(V_Y, c_Message_Oparts(V_H), tc_Message_Omsg) -> f5(true__, V_Y, V_H) % 10.33/10.27 c_in(V_c, c_Event_Oused(V_evs), tc_Message_Omsg) -> f3(true__, V_c, V_evs) % 10.33/10.27 c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer, 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(v_na, v_nb)))), c_Message_Omsg_OCrypt(c_Public_OshrK(v_B), c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A), c_Message_Omsg_OKey(v_K))))), c_List_Oset(v_evs3, tc_Event_Oevent), tc_Event_Oevent) -> true__ % 10.33/10.27 f1(c_in(c_Message_Omsg_OKey(v_K), c_Event_Oused(v_evs3), tc_Message_Omsg)) -> true__ % 10.33/10.27 f1(f3(true__, c_Message_Omsg_OKey(v_K), v_evs3)) -> true__ % 10.33/10.27 f1(true__) -> false__ % 10.33/10.27 f2(c_in(c_Event_Oevent_OSays(V_A, V_B, V_X), c_List_Oset(V_evs, tc_Event_Oevent), tc_Event_Oevent), V_X, V_evs) -> true__ % 10.33/10.27 f2(true__, V_X, V_evs) -> c_in(V_X, c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy, V_evs)), tc_Message_Omsg) % 10.33/10.27 f3(c_in(V_c, c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy, V_evs)), tc_Message_Omsg), V_c, V_evs) -> true__ % 10.33/10.27 f3(f5(true__, Y0, c_Event_Oknows(c_Message_Oagent_OSpy, Y1)), Y0, Y1) -> true__ % 10.33/10.27 f3(true__, c_Message_Omsg_OCrypt(c_Public_OshrK(v_B), c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A), c_Message_Omsg_OKey(v_K))), v_evs3) -> true__ % 10.33/10.27 f3(true__, c_Message_Omsg_OKey(v_K), v_evs3) -> true__ % 10.33/10.27 f3(true__, c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A), c_Message_Omsg_OKey(v_K)), v_evs3) -> true__ % 10.33/10.27 f3(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(v_na, v_nb)))), c_Message_Omsg_OCrypt(c_Public_OshrK(v_B), c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A), c_Message_Omsg_OKey(v_K)))), v_evs3) -> true__ % 10.33/10.27 f4(c_in(c_Message_Omsg_OMPair(V_X, V_Y), c_Message_Oanalz(V_H), tc_Message_Omsg), V_Y, V_H) -> true__ % 10.33/10.27 f4(f4(true__, c_Message_Omsg_OMPair(Y0, Y1), Y2), Y1, Y2) -> true__ % 10.33/10.27 f4(true__, c_Message_Omsg_OCrypt(c_Public_OshrK(v_B), c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A), c_Message_Omsg_OKey(v_K))), c_Event_Oknows(c_Message_Oagent_OSpy, v_evs3)) -> true__ % 10.33/10.27 f4(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(v_na, v_nb)))), c_Message_Omsg_OCrypt(c_Public_OshrK(v_B), c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A), c_Message_Omsg_OKey(v_K)))), c_Event_Oknows(c_Message_Oagent_OSpy, v_evs3)) -> true__ % 10.33/10.27 f5(c_in(c_Message_Omsg_OMPair(V_X, V_Y), c_Message_Oparts(V_H), tc_Message_Omsg), V_Y, V_H) -> true__ % 10.33/10.27 f5(f5(true__, c_Message_Omsg_OMPair(Y0, Y1), X0), Y1, c_Message_Oanalz(X0)) -> true__ % 10.33/10.27 f5(f5(true__, c_Message_Omsg_OMPair(Y0, Y1), X1), Y1, c_Message_Oanalz(c_Message_Oanalz(X1))) -> true__ % 10.33/10.27 f5(f5(true__, c_Message_Omsg_OMPair(Y0, Y1), X1), Y1, c_Message_Oanalz(c_Message_Oanalz(c_Message_Oanalz(X1)))) -> true__ % 10.33/10.27 f5(f5(true__, c_Message_Omsg_OMPair(Y0, Y1), X1), Y1, c_Message_Oanalz(c_Message_Oanalz(c_Message_Oanalz(c_Message_Oanalz(X1))))) -> true__ % 10.33/10.27 f5(f5(true__, c_Message_Omsg_OMPair(Y0, Y1), X1), Y1, c_Message_Oanalz(c_Message_Oanalz(c_Message_Oanalz(c_Message_Oanalz(c_Message_Oanalz(X1)))))) -> true__ % 10.33/10.27 f5(f5(true__, c_Message_Omsg_OMPair(Y0, Y1), X1), Y1, c_Message_Oanalz(c_Message_Oanalz(c_Message_Oanalz(c_Message_Oanalz(c_Message_Oanalz(c_Message_Oanalz(X1))))))) -> true__ % 10.33/10.27 f5(f5(true__, c_Message_Omsg_OMPair(Y0, Y1), X1), Y1, c_Message_Oanalz(c_Message_Oanalz(c_Message_Oanalz(c_Message_Oanalz(c_Message_Oanalz(c_Message_Oanalz(c_Message_Oanalz(X1)))))))) -> true__ % 10.33/10.27 f5(f5(true__, c_Message_Omsg_OMPair(Y0, Y1), X1), Y1, c_Message_Oanalz(c_Message_Oanalz(c_Message_Oanalz(c_Message_Oanalz(c_Message_Oanalz(c_Message_Oanalz(c_Message_Oanalz(c_Message_Oanalz(X1))))))))) -> true__ % 10.33/10.27 f5(f5(true__, c_Message_Omsg_OMPair(Y0, Y1), Y2), Y1, Y2) -> true__ % 10.33/10.27 f5(true__, Y0, c_Message_Oanalz(X0)) -> f5(true__, Y0, X0) % 10.33/10.27 f5(true__, c_Message_Omsg_OCrypt(c_Public_OshrK(v_B), c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A), c_Message_Omsg_OKey(v_K))), c_Event_Oknows(c_Message_Oagent_OSpy, v_evs3)) -> true__ % 10.33/10.27 f5(true__, c_Message_Omsg_OCrypt(c_Public_OshrK(v_B), c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A), c_Message_Omsg_OKey(v_K))), c_Event_Oused(v_evs3)) -> true__ % 10.33/10.27 f5(true__, c_Message_Omsg_OCrypt(c_Public_OshrK(v_B), c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A), c_Message_Omsg_OKey(v_K))), c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy, v_evs3))) -> true__ % 10.33/10.27 f5(true__, c_Message_Omsg_OCrypt(c_Public_OshrK(v_B), c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A), c_Message_Omsg_OKey(v_K))), c_Message_Oparts(c_Event_Oused(v_evs3))) -> true__ % 10.33/10.27 f5(true__, c_Message_Omsg_OCrypt(c_Public_OshrK(v_B), c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A), c_Message_Omsg_OKey(v_K))), c_Message_Oparts(c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy, v_evs3)))) -> true__ % 10.33/10.27 f5(true__, c_Message_Omsg_OCrypt(c_Public_OshrK(v_B), c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A), c_Message_Omsg_OKey(v_K))), c_Message_Oparts(c_Message_Oparts(c_Event_Oused(v_evs3)))) -> true__ % 10.33/10.27 f5(true__, c_Message_Omsg_OKey(v_K), c_Event_Oknows(c_Message_Oagent_OSpy, v_evs3)) -> true__ % 10.33/10.27 f5(true__, c_Message_Omsg_OKey(v_K), c_Event_Oused(v_evs3)) -> true__ % 10.33/10.27 f5(true__, c_Message_Omsg_OKey(v_K), c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy, v_evs3))) -> true__ % 10.33/10.27 f5(true__, c_Message_Omsg_OKey(v_K), c_Message_Oparts(c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy, v_evs3)))) -> true__ % 10.33/10.27 f5(true__, c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A), c_Message_Omsg_OKey(v_K)), c_Event_Oknows(c_Message_Oagent_OSpy, v_evs3)) -> true__ % 10.33/10.27 f5(true__, c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A), c_Message_Omsg_OKey(v_K)), c_Event_Oused(v_evs3)) -> true__ % 10.33/10.27 f5(true__, c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A), c_Message_Omsg_OKey(v_K)), c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy, v_evs3))) -> true__ % 10.33/10.27 f5(true__, c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A), c_Message_Omsg_OKey(v_K)), c_Message_Oparts(c_Event_Oused(v_evs3))) -> true__ % 10.33/10.27 f5(true__, c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A), c_Message_Omsg_OKey(v_K)), c_Message_Oparts(c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy, v_evs3)))) -> true__ % 10.33/10.27 f5(true__, c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A), c_Message_Omsg_OKey(v_K)), c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy, v_evs3))))) -> true__ % 10.33/10.27 f5(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(v_na, v_nb)))), c_Message_Omsg_OCrypt(c_Public_OshrK(v_B), c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A), c_Message_Omsg_OKey(v_K)))), c_Event_Oknows(c_Message_Oagent_OSpy, v_evs3)) -> true__ % 10.33/10.27 f5(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(v_na, v_nb)))), c_Message_Omsg_OCrypt(c_Public_OshrK(v_B), c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A), c_Message_Omsg_OKey(v_K)))), c_Event_Oused(v_evs3)) -> true__ % 10.33/10.27 f5(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(v_na, v_nb)))), c_Message_Omsg_OCrypt(c_Public_OshrK(v_B), c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A), c_Message_Omsg_OKey(v_K)))), c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy, v_evs3))) -> true__ % 10.33/10.27 f5(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(v_na, v_nb)))), c_Message_Omsg_OCrypt(c_Public_OshrK(v_B), c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A), c_Message_Omsg_OKey(v_K)))), c_Message_Oparts(c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy, v_evs3)))) -> true__ % 10.33/10.27 f6(c_in(c_Message_Omsg_OCrypt(V_K, V_X), c_Message_Oparts(V_H), tc_Message_Omsg), V_X, V_H) -> true__ % 10.33/10.27 f6(f5(true__, c_Message_Omsg_OCrypt(Y0, Y1), X0), Y1, c_Message_Oanalz(X0)) -> true__ % 10.33/10.27 f6(f5(true__, c_Message_Omsg_OCrypt(Y0, Y1), X1), Y1, c_Message_Oanalz(c_Message_Oanalz(X1))) -> true__ % 10.33/10.27 f6(f5(true__, c_Message_Omsg_OCrypt(Y0, Y1), X1), Y1, c_Message_Oanalz(c_Message_Oanalz(c_Message_Oanalz(X1)))) -> true__ % 10.33/10.27 f6(f5(true__, c_Message_Omsg_OCrypt(Y0, Y1), X1), Y1, c_Message_Oanalz(c_Message_Oanalz(c_Message_Oanalz(c_Message_Oanalz(X1))))) -> true__ % 10.33/10.27 f6(f5(true__, c_Message_Omsg_OCrypt(Y0, Y1), X1), Y1, c_Message_Oanalz(c_Message_Oanalz(c_Message_Oanalz(c_Message_Oanalz(c_Message_Oanalz(X1)))))) -> true__ % 10.33/10.27 f6(f5(true__, c_Message_Omsg_OCrypt(Y0, Y1), X1), Y1, c_Message_Oanalz(c_Message_Oanalz(c_Message_Oanalz(c_Message_Oanalz(c_Message_Oanalz(c_Message_Oanalz(X1))))))) -> true__ % 10.33/10.27 f6(f5(true__, c_Message_Omsg_OCrypt(Y0, Y1), X1), Y1, c_Message_Oanalz(c_Message_Oanalz(c_Message_Oanalz(c_Message_Oanalz(c_Message_Oanalz(c_Message_Oanalz(c_Message_Oanalz(X1)))))))) -> true__ % 10.33/10.27 f6(f5(true__, c_Message_Omsg_OCrypt(Y0, Y1), Y2), Y1, Y2) -> true__ % 10.33/10.27 f6(true__, V_X, V_H) -> c_in(V_X, c_Message_Oparts(V_H), tc_Message_Omsg) % 10.33/10.27 f7(c_in(V_X, V_H, tc_Message_Omsg), V_X, V_H) -> true__ % 10.33/10.27 f7(f3(true__, Y0, X1), Y0, c_Event_Oused(X1)) -> true__ % 10.33/10.27 f7(f4(true__, Y0, X1), Y0, c_Message_Oanalz(X1)) -> true__ % 10.33/10.27 f7(f5(true__, Y0, X1), Y0, c_Message_Oparts(X1)) -> true__ % 10.33/10.27 f7(true__, V_X, V_H) -> c_in(V_X, c_Message_Oparts(V_H), tc_Message_Omsg) % 10.33/10.27 false__ -> true__ % 10.33/10.27 with the LPO induced by % 10.33/10.27 f2 > c_Message_Oagent_OSpy > f7 > f6 > tc_Message_Omsg > c_in > f5 > c_Public_OshrK > f4 > f3 > c_Message_Oparts > c_Event_Oknows > c_Message_Oanalz > tc_Event_Oevent > c_List_Oset > c_Message_Omsg_OMPair > v_nb > v_na > v_B > c_Message_Omsg_OAgent > c_Message_Omsg_OCrypt > v_A > c_Message_Oagent_OServer > c_Event_Oevent_OSays > v_evs3 > c_Event_Oused > v_K > c_Message_Omsg_OKey > f1 > false__ > true__ % 10.33/10.27 % 10.33/10.27 % SZS output end Proof % 10.33/10.27 %------------------------------------------------------------------------------