%------------------------------------------------------------------------------ % File : CSE---1.7 % Problem : SWV799-1 : TPTP v8.2.0. Released v4.1.0. % Transfm : none % Format : tptp:raw % Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %d %s % Computer : n023.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 : Mon Jun 24 16:48:30 EDT 2024 % Result : Unsatisfiable 0.76s 0.84s % Output : CNFRefutation 0.76s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.10/0.12 % Problem : SWV799-1 : TPTP v8.2.0. Released v4.1.0. % 0.10/0.12 % Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %d %s % 0.12/0.33 % Computer : n023.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 : 300 % 0.12/0.33 % DateTime : Thu Jun 20 15:55:39 EDT 2024 % 0.12/0.33 % CPUTime : % 0.20/0.56 start to proof:theBenchmark % 0.76/0.80 %------------------------------------------- % 0.76/0.80 % File :CSE---1.7 % 0.76/0.80 % Problem :theBenchmark % 0.76/0.80 % Transform :cnf % 0.76/0.80 % Format :tptp:raw % 0.76/0.80 % Command :java -jar mcs_scs.jar %d %s % 0.76/0.80 % 0.76/0.80 % Result :Theorem 0.040000s % 0.76/0.80 % Output :CNFRefutation 0.040000s % 0.76/0.80 %------------------------------------------- % 0.76/0.80 %------------------------------------------------------------------------------ % 0.76/0.80 % File : SWV799-1 : TPTP v8.2.0. Released v4.1.0. % 0.76/0.80 % Domain : Software Verification % 0.76/0.80 % Problem : Needham-Schroeder shared-key protocol 474_1 % 0.76/0.80 % Version : Especial. % 0.76/0.80 % English : % 0.76/0.80 % 0.76/0.80 % Refs : [BAN89] Burrows et al. (1989), A Logic of Authentication % 0.76/0.80 % : [Nip10] Nipkow (2010), Email to Geoff Sutcliffe % 0.76/0.80 % : [BN10] Boehme & Nipkow (2010), Sledgehammer: Judgement Day % 0.76/0.80 % Source : [Nip10] % 0.76/0.80 % Names : NS_Shared-474_1 [Nip10] % 0.76/0.80 % 0.76/0.80 % Status : Unsatisfiable % 0.76/0.80 % Rating : 0.05 v7.4.0, 0.06 v7.3.0, 0.00 v7.0.0, 0.13 v6.4.0, 0.07 v6.3.0, 0.00 v6.2.0, 0.10 v6.1.0, 0.07 v6.0.0, 0.10 v5.5.0, 0.25 v5.3.0, 0.22 v5.2.0, 0.19 v5.1.0, 0.24 v5.0.0, 0.21 v4.1.0 % 0.76/0.80 % Syntax : Number of clauses : 632 ( 262 unt; 73 nHn; 366 RR) % 0.76/0.80 % Number of literals : 1243 ( 343 equ; 605 neg) % 0.76/0.80 % Maximal clause size : 7 ( 1 avg) % 0.76/0.80 % Maximal term depth : 10 ( 2 avg) % 0.76/0.80 % Number of predicates : 19 ( 18 usr; 0 prp; 1-4 aty) % 0.76/0.80 % Number of functors : 63 ( 63 usr; 21 con; 0-4 aty) % 0.76/0.80 % Number of variables : 1898 ( 515 sgn) % 0.76/0.80 % SPC : CNF_UNS_RFO_SEQ_NHN % 0.76/0.80 % 0.76/0.80 % Comments : % 0.76/0.80 %------------------------------------------------------------------------------ % 0.76/0.80 cnf(cls_Fake__parts__sing_0,axiom, % 0.76/0.80 ( c_lessequals(c_Message_Oparts(c_Set_Oinsert(V_X,c_Orderings_Obot__class_Obot(tc_fun(tc_Message_Omsg,tc_bool)),tc_Message_Omsg)),c_Lattices_Oupper__semilattice__class_Osup(c_Message_Osynth(c_Message_Oanalz(V_H)),c_Message_Oparts(V_H),tc_fun(tc_Message_Omsg,tc_bool)),tc_fun(tc_Message_Omsg,tc_bool)) % 0.76/0.80 | ~ c_in(V_X,c_Message_Osynth(c_Message_Oanalz(V_H)),tc_Message_Omsg) ) ). % 0.76/0.80 % 0.76/0.80 cnf(cls_used__Notes_0,axiom, % 0.76/0.80 c_Event_Oused(c_List_Olist_OCons(c_Event_Oevent_ONotes(V_A,V_X),V_evs,tc_Event_Oevent)) = c_Lattices_Oupper__semilattice__class_Osup(c_Message_Oparts(c_Set_Oinsert(V_X,c_Orderings_Obot__class_Obot(tc_fun(tc_Message_Omsg,tc_bool)),tc_Message_Omsg)),c_Event_Oused(V_evs),tc_fun(tc_Message_Omsg,tc_bool)) ). % 0.76/0.80 % 0.76/0.80 cnf(cls_used__Says_0,axiom, % 0.76/0.80 c_Event_Oused(c_List_Olist_OCons(c_Event_Oevent_OSays(V_A,V_B,V_X),V_evs,tc_Event_Oevent)) = c_Lattices_Oupper__semilattice__class_Osup(c_Message_Oparts(c_Set_Oinsert(V_X,c_Orderings_Obot__class_Obot(tc_fun(tc_Message_Omsg,tc_bool)),tc_Message_Omsg)),c_Event_Oused(V_evs),tc_fun(tc_Message_Omsg,tc_bool)) ). % 0.76/0.80 % 0.76/0.80 cnf(cls_Issues__def_1,axiom, % 0.76/0.80 ( c_in(V_X,c_Message_Oparts(c_Set_Oinsert(v_sko__NS__Shared__Mirabelle__XIssues__def__1(V_A,V_B,V_X,V_evs),c_Orderings_Obot__class_Obot(tc_fun(tc_Message_Omsg,tc_bool)),tc_Message_Omsg)),tc_Message_Omsg) % 0.76/0.80 | ~ c_NS__Shared__Mirabelle_OIssues(V_A,V_B,V_X,V_evs) ) ). % 0.76/0.80 % 0.76/0.80 cnf(cls_Fake__parts__sing__imp__Un_0,axiom, % 0.76/0.80 ( c_in(V_c,c_Lattices_Oupper__semilattice__class_Osup(c_Message_Osynth(c_Message_Oanalz(V_H)),c_Message_Oparts(V_H),tc_fun(tc_Message_Omsg,tc_bool)),tc_Message_Omsg) % 0.76/0.80 | ~ c_in(V_X,c_Message_Osynth(c_Message_Oanalz(V_H)),tc_Message_Omsg) % 0.76/0.80 | ~ c_in(V_c,c_Message_Oparts(c_Set_Oinsert(V_X,c_Orderings_Obot__class_Obot(tc_fun(tc_Message_Omsg,tc_bool)),tc_Message_Omsg)),tc_Message_Omsg) ) ). % 0.76/0.80 % 0.76/0.80 cnf(cls_parts__insert__spies_0,axiom, % 0.76/0.80 c_Message_Oparts(c_Set_Oinsert(V_X,c_Event_Oknows(c_Message_Oagent_OSpy,V_evs),tc_Message_Omsg)) = c_Lattices_Oupper__semilattice__class_Osup(c_Message_Oparts(c_Set_Oinsert(V_X,c_Orderings_Obot__class_Obot(tc_fun(tc_Message_Omsg,tc_bool)),tc_Message_Omsg)),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,V_evs)),tc_fun(tc_Message_Omsg,tc_bool)) ). % 0.76/0.80 % 0.76/0.80 cnf(cls_analz__empty_0,axiom, % 0.76/0.80 c_Message_Oanalz(c_Orderings_Obot__class_Obot(tc_fun(tc_Message_Omsg,tc_bool))) = c_Orderings_Obot__class_Obot(tc_fun(tc_Message_Omsg,tc_bool)) ). % 0.76/0.80 % 0.76/0.81 cnf(cls_parts__empty_0,axiom, % 0.76/0.81 c_Message_Oparts(c_Orderings_Obot__class_Obot(tc_fun(tc_Message_Omsg,tc_bool))) = c_Orderings_Obot__class_Obot(tc_fun(tc_Message_Omsg,tc_bool)) ). % 0.76/0.81 % 0.76/0.81 cnf(cls_bex__empty_0,axiom, % 0.76/0.81 ( ~ hBOOL(hAPP(V_P,V_x)) % 0.76/0.81 | ~ c_in(V_x,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a) ) ). % 0.76/0.81 % 0.76/0.81 cnf(cls_emptyE_0,axiom, % 0.76/0.81 ~ c_in(V_a,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a) ). % 0.76/0.81 % 0.76/0.81 cnf(cls_empty__iff_0,axiom, % 0.76/0.81 ~ c_in(V_c,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a) ). % 0.76/0.81 % 0.76/0.81 cnf(cls_ball__empty_0,axiom, % 0.76/0.81 ( hBOOL(hAPP(V_P,V_x)) % 0.76/0.81 | ~ c_in(V_x,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a) ) ). % 0.76/0.81 % 0.76/0.81 cnf(cls_ex__in__conv_0,axiom, % 0.76/0.81 ~ c_in(V_x,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a) ). % 0.76/0.81 % 0.76/0.81 cnf(cls_empty__is__image_1,axiom, % 0.76/0.81 c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)) = c_Set_Oimage(V_f,c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_bool)),T_b,T_a) ). % 0.76/0.81 % 0.76/0.81 cnf(cls_insert__is__Un_0,axiom, % 0.76/0.81 c_Set_Oinsert(V_a,V_A,T_a) = c_Lattices_Oupper__semilattice__class_Osup(c_Set_Oinsert(V_a,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),V_A,tc_fun(T_a,tc_bool)) ). % 0.76/0.81 % 0.76/0.81 cnf(cls_sup__eq__bot__eq2_0,axiom, % 0.76/0.81 ( ~ class_Lattices_Obounded__lattice(T_a) % 0.76/0.81 | c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,T_a) != c_Orderings_Obot__class_Obot(T_a) % 0.76/0.81 | V_B = c_Orderings_Obot__class_Obot(T_a) ) ). % 0.76/0.81 % 0.76/0.81 cnf(cls_sup__eq__bot__eq1_0,axiom, % 0.76/0.81 ( ~ class_Lattices_Obounded__lattice(T_a) % 0.76/0.81 | c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,T_a) != c_Orderings_Obot__class_Obot(T_a) % 0.76/0.81 | V_A = c_Orderings_Obot__class_Obot(T_a) ) ). % 0.76/0.81 % 0.76/0.81 cnf(cls_Un__empty_0,axiom, % 0.76/0.81 ( c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_a,tc_bool)) != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)) % 0.76/0.81 | V_A = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)) ) ). % 0.76/0.81 % 0.76/0.81 cnf(cls_Un__empty_1,axiom, % 0.76/0.81 ( c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_a,tc_bool)) != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)) % 0.76/0.81 | V_B = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)) ) ). % 0.76/0.81 % 0.76/0.81 cnf(cls_comm__monoid__add_Ononempty__iff_2,axiom, % 0.76/0.81 ( c_Set_Oinsert(V_x,V_xa,T_a) != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)) % 0.76/0.81 | c_in(V_x,V_xa,T_a) ) ). % 0.76/0.81 % 0.76/0.81 cnf(cls_singleton__inject_0,axiom, % 0.76/0.81 ( c_Set_Oinsert(V_a,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a) != c_Set_Oinsert(V_b,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a) % 0.76/0.81 | V_a = V_b ) ). % 0.76/0.81 % 0.76/0.81 cnf(cls_image__empty_0,axiom, % 0.76/0.81 c_Set_Oimage(V_f,c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_bool)),T_b,T_a) = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)) ). % 0.76/0.81 % 0.76/0.81 cnf(cls_doubleton__eq__iff_4,axiom, % 0.76/0.81 c_Set_Oinsert(V_xa,c_Set_Oinsert(V_x,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),T_a) = c_Set_Oinsert(V_x,c_Set_Oinsert(V_xa,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),T_a) ). % 0.76/0.81 % 0.76/0.81 cnf(cls_parts__insert2_0,axiom, % 0.76/0.81 c_Message_Oparts(c_Set_Oinsert(V_X,c_Set_Oinsert(V_Y,V_H,tc_Message_Omsg),tc_Message_Omsg)) = c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Oupper__semilattice__class_Osup(c_Message_Oparts(c_Set_Oinsert(V_X,c_Orderings_Obot__class_Obot(tc_fun(tc_Message_Omsg,tc_bool)),tc_Message_Omsg)),c_Message_Oparts(c_Set_Oinsert(V_Y,c_Orderings_Obot__class_Obot(tc_fun(tc_Message_Omsg,tc_bool)),tc_Message_Omsg)),tc_fun(tc_Message_Omsg,tc_bool)),c_Message_Oparts(V_H),tc_fun(tc_Message_Omsg,tc_bool)) ). % 0.76/0.81 % 0.76/0.81 cnf(cls_singletonE_0,axiom, % 0.76/0.81 ( V_b = V_a % 0.76/0.81 | ~ c_in(V_b,c_Set_Oinsert(V_a,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),T_a) ) ). % 0.76/0.81 % 0.76/0.81 cnf(cls_used__parts__subset__parts_0,axiom, % 0.76/0.81 ( c_lessequals(c_Message_Oparts(c_Set_Oinsert(V_X,c_Orderings_Obot__class_Obot(tc_fun(tc_Message_Omsg,tc_bool)),tc_Message_Omsg)),c_Event_Oused(V_evs),tc_fun(tc_Message_Omsg,tc_bool)) % 0.76/0.81 | ~ c_in(V_X,c_Event_Oused(V_evs),tc_Message_Omsg) ) ). % 0.76/0.81 % 0.76/0.81 cnf(cls_empty__is__image_0,axiom, % 0.76/0.81 ( c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)) != c_Set_Oimage(V_f,V_A,T_b,T_a) % 0.76/0.81 | V_A = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_bool)) ) ). % 0.76/0.81 % 0.76/0.81 cnf(cls_empty__subsetI_0,axiom, % 0.76/0.81 c_lessequals(c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),V_A,tc_fun(T_a,tc_bool)) ). % 0.76/0.81 % 0.76/0.81 cnf(cls_bot__least_0,axiom, % 0.76/0.81 ( ~ class_Orderings_Obot(T_a) % 0.76/0.81 | c_lessequals(c_Orderings_Obot__class_Obot(T_a),V_x,T_a) ) ). % 0.76/0.81 % 0.76/0.81 cnf(cls_insert__not__empty_0,axiom, % 0.76/0.81 c_Set_Oinsert(V_a,V_A,T_a) != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)) ). % 0.76/0.81 % 0.76/0.81 cnf(cls_subset__Compl__self__eq_1,axiom, % 0.76/0.81 c_lessequals(c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),c_HOL_Ouminus__class_Ouminus(c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)) ). % 0.76/0.81 % 0.76/0.81 cnf(cls_sup__bot__right_0,axiom, % 0.76/0.81 ( ~ class_Lattices_Obounded__lattice(T_a) % 0.76/0.81 | c_Lattices_Oupper__semilattice__class_Osup(V_x,c_Orderings_Obot__class_Obot(T_a),T_a) = V_x ) ). % 0.76/0.81 % 0.76/0.81 cnf(cls_sup__bot__left_0,axiom, % 0.76/0.81 ( ~ class_Lattices_Obounded__lattice(T_a) % 0.76/0.81 | c_Lattices_Oupper__semilattice__class_Osup(c_Orderings_Obot__class_Obot(T_a),V_x,T_a) = V_x ) ). % 0.76/0.81 % 0.76/0.81 cnf(cls_Un__empty__left_0,axiom, % 0.76/0.81 c_Lattices_Oupper__semilattice__class_Osup(c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),V_B,tc_fun(T_a,tc_bool)) = V_B ). % 0.76/0.81 % 0.76/0.81 cnf(cls_Un__empty__right_0,axiom, % 0.76/0.81 c_Lattices_Oupper__semilattice__class_Osup(V_A,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)) = V_A ). % 0.76/0.81 % 0.76/0.81 cnf(cls_compl__top__eq_0,axiom, % 0.76/0.81 ( ~ class_Lattices_Oboolean__algebra(T_a) % 0.76/0.81 | c_HOL_Ouminus__class_Ouminus(c_Orderings_Otop__class_Otop(T_a),T_a) = c_Orderings_Obot__class_Obot(T_a) ) ). % 0.76/0.81 % 0.76/0.81 cnf(cls_Compl__UNIV__eq_0,axiom, % 0.76/0.81 c_HOL_Ouminus__class_Ouminus(c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)) = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)) ). % 0.76/0.81 % 0.76/0.81 cnf(cls_bot1E_0,axiom, % 0.76/0.81 ~ hBOOL(hAPP(c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),V_x)) ). % 0.76/0.81 % 0.76/0.81 cnf(cls_UNIV__not__empty_0,axiom, % 0.76/0.81 c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_bool)) != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)) ). % 0.76/0.81 % 0.76/0.81 cnf(cls_parts__insert__knows__A_0,axiom, % 0.76/0.81 c_Message_Oparts(c_Set_Oinsert(V_X,c_Event_Oknows(V_A,V_evs),tc_Message_Omsg)) = c_Lattices_Oupper__semilattice__class_Osup(c_Message_Oparts(c_Set_Oinsert(V_X,c_Orderings_Obot__class_Obot(tc_fun(tc_Message_Omsg,tc_bool)),tc_Message_Omsg)),c_Message_Oparts(c_Event_Oknows(V_A,V_evs)),tc_fun(tc_Message_Omsg,tc_bool)) ). % 0.76/0.81 % 0.76/0.81 cnf(cls_doubleton__eq__iff_0,axiom, % 0.76/0.81 ( c_Set_Oinsert(V_a,c_Set_Oinsert(V_b,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),T_a) != c_Set_Oinsert(V_c,c_Set_Oinsert(V_d,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),T_a) % 0.76/0.81 | V_a = V_d % 0.76/0.81 | V_a = V_c ) ). % 0.76/0.81 % 0.76/0.81 cnf(cls_doubleton__eq__iff_1,axiom, % 0.76/0.81 ( c_Set_Oinsert(V_a,c_Set_Oinsert(V_b,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),T_a) != c_Set_Oinsert(V_c,c_Set_Oinsert(V_d,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),T_a) % 0.76/0.81 | V_b = V_c % 0.76/0.81 | V_a = V_c ) ). % 0.76/0.81 % 0.76/0.81 cnf(cls_doubleton__eq__iff_2,axiom, % 0.76/0.81 ( c_Set_Oinsert(V_a,c_Set_Oinsert(V_b,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),T_a) != c_Set_Oinsert(V_c,c_Set_Oinsert(V_d,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),T_a) % 0.76/0.81 | V_a = V_d % 0.76/0.81 | V_b = V_d ) ). % 0.76/0.81 % 0.76/0.81 cnf(cls_doubleton__eq__iff_3,axiom, % 0.76/0.81 ( c_Set_Oinsert(V_a,c_Set_Oinsert(V_b,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),T_a) != c_Set_Oinsert(V_c,c_Set_Oinsert(V_d,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),T_a) % 0.76/0.81 | V_b = V_c % 0.76/0.81 | V_b = V_d ) ). % 0.76/0.81 % 0.76/0.81 cnf(cls_subset__empty_0,axiom, % 0.76/0.81 ( V_A = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)) % 0.76/0.81 | ~ c_lessequals(V_A,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)) ) ). % 0.76/0.81 % 0.76/0.81 cnf(cls_subset__empty_1,axiom, % 0.76/0.81 c_lessequals(c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)) ). % 0.76/0.81 % 0.76/0.81 cnf(cls_empty__not__insert_0,axiom, % 0.76/0.81 c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)) != c_Set_Oinsert(V_a,V_A,T_a) ). % 0.76/0.81 % 0.76/0.81 cnf(cls_compl__bot__eq_0,axiom, % 0.76/0.81 ( ~ class_Lattices_Oboolean__algebra(T_a) % 0.76/0.81 | c_HOL_Ouminus__class_Ouminus(c_Orderings_Obot__class_Obot(T_a),T_a) = c_Orderings_Otop__class_Otop(T_a) ) ). % 0.76/0.81 % 0.76/0.81 cnf(cls_Compl__empty__eq_0,axiom, % 0.76/0.81 c_HOL_Ouminus__class_Ouminus(c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)) = c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_bool)) ). % 0.76/0.81 % 0.76/0.81 cnf(cls_image__is__empty_0,axiom, % 0.76/0.81 ( c_Set_Oimage(V_f,V_A,T_b,T_a) != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)) % 0.76/0.81 | V_A = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_bool)) ) ). % 0.76/0.81 % 0.76/0.81 cnf(cls_parts__insert_0,axiom, % 0.76/0.81 c_Message_Oparts(c_Set_Oinsert(V_X,V_H,tc_Message_Omsg)) = c_Lattices_Oupper__semilattice__class_Osup(c_Message_Oparts(c_Set_Oinsert(V_X,c_Orderings_Obot__class_Obot(tc_fun(tc_Message_Omsg,tc_bool)),tc_Message_Omsg)),c_Message_Oparts(V_H),tc_fun(tc_Message_Omsg,tc_bool)) ). % 0.76/0.81 % 0.76/0.81 cnf(cls_singleton__iff_1,axiom, % 0.76/0.81 c_in(V_x,c_Set_Oinsert(V_x,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),T_a) ). % 0.76/0.81 % 0.76/0.81 cnf(cls_subset__Compl__self__eq_0,axiom, % 0.76/0.81 ( V_A = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)) % 0.76/0.81 | ~ c_lessequals(V_A,c_HOL_Ouminus__class_Ouminus(V_A,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)) ) ). % 0.76/0.81 % 0.76/0.81 cnf(cls_subset__singletonD_0,axiom, % 0.76/0.81 ( V_A = c_Set_Oinsert(V_x,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a) % 0.76/0.81 | V_A = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)) % 0.76/0.81 | ~ c_lessequals(V_A,c_Set_Oinsert(V_x,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),tc_fun(T_a,tc_bool)) ) ). % 0.76/0.81 % 0.76/0.81 cnf(cls_Un__empty_2,axiom, % 0.76/0.81 c_Lattices_Oupper__semilattice__class_Osup(c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)) = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)) ). % 0.76/0.81 % 0.76/0.81 cnf(cls_set__empty_1,axiom, % 0.76/0.81 c_List_Oset(c_List_Olist_ONil(T_a),T_a) = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)) ). % 0.76/0.81 % 0.76/0.81 cnf(cls_set__empty2_0,axiom, % 0.76/0.81 ( c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)) != c_List_Oset(V_xs,T_a) % 0.76/0.81 | V_xs = c_List_Olist_ONil(T_a) ) ). % 0.76/0.81 % 0.76/0.81 cnf(cls_set__empty2_1,axiom, % 0.76/0.81 c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)) = c_List_Oset(c_List_Olist_ONil(T_a),T_a) ). % 0.76/0.81 % 0.76/0.81 cnf(cls_set__empty_0,axiom, % 0.76/0.81 ( c_List_Oset(V_xs,T_a) != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)) % 0.76/0.81 | V_xs = c_List_Olist_ONil(T_a) ) ). % 0.76/0.81 % 0.76/0.81 cnf(cls_parts__emptyE_0,axiom, % 0.76/0.81 ~ c_in(V_X,c_Message_Oparts(c_Orderings_Obot__class_Obot(tc_fun(tc_Message_Omsg,tc_bool))),tc_Message_Omsg) ). % 0.76/0.81 % 0.76/0.81 cnf(cls_keymode_Osimps_I2_J_0,axiom, % 0.76/0.81 c_Public_Okeymode_OEncryption != c_Public_Okeymode_OSignature ). % 0.76/0.81 % 0.76/0.81 cnf(cls_keymode_Oinduct_0,axiom, % 0.76/0.81 ( hBOOL(hAPP(V_P,V_keymode)) % 0.76/0.81 | ~ hBOOL(hAPP(V_P,c_Public_Okeymode_OEncryption)) % 0.76/0.81 | ~ hBOOL(hAPP(V_P,c_Public_Okeymode_OSignature)) ) ). % 0.76/0.81 % 0.76/0.81 cnf(cls_keymode_Osimps_I1_J_0,axiom, % 0.76/0.81 c_Public_Okeymode_OSignature != c_Public_Okeymode_OEncryption ). % 0.76/0.81 % 0.76/0.81 cnf(cls_initState__Server_0,axiom, % 0.76/0.81 c_Event_OinitState(c_Message_Oagent_OServer) = c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Oupper__semilattice__class_Osup(c_Set_Oinsert(hAPP(c_Message_Omsg_OKey,hAPP(c_Message_OinvKey,hAPP(c_Public_OpublicKey(c_Public_Okeymode_OEncryption),c_Message_Oagent_OServer))),c_Set_Oinsert(hAPP(c_Message_Omsg_OKey,hAPP(c_Message_OinvKey,hAPP(c_Public_OpublicKey(c_Public_Okeymode_OSignature),c_Message_Oagent_OServer))),c_Orderings_Obot__class_Obot(tc_fun(tc_Message_Omsg,tc_bool)),tc_Message_Omsg),tc_Message_Omsg),c_Set_Oimage(c_Message_Omsg_OKey,c_Set_Oimage(c_Public_OpublicKey(c_Public_Okeymode_OEncryption),c_Orderings_Otop__class_Otop(tc_fun(tc_Message_Oagent,tc_bool)),tc_Message_Oagent,tc_nat),tc_nat,tc_Message_Omsg),tc_fun(tc_Message_Omsg,tc_bool)),c_Set_Oimage(c_Message_Omsg_OKey,c_Set_Oimage(c_Public_OpublicKey(c_Public_Okeymode_OSignature),c_Orderings_Otop__class_Otop(tc_fun(tc_Message_Oagent,tc_bool)),tc_Message_Oagent,tc_nat),tc_nat,tc_Message_Omsg),tc_fun(tc_Message_Omsg,tc_bool)),c_Set_Oimage(c_Message_Omsg_OKey,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,tc_Message_Omsg),tc_fun(tc_Message_Omsg,tc_bool)) ). % 0.76/0.81 % 0.76/0.81 cnf(cls_Un__insert__left_0,axiom, % 0.76/0.81 c_Lattices_Oupper__semilattice__class_Osup(c_Set_Oinsert(V_a,V_B,T_a),V_C,tc_fun(T_a,tc_bool)) = c_Set_Oinsert(V_a,c_Lattices_Oupper__semilattice__class_Osup(V_B,V_C,tc_fun(T_a,tc_bool)),T_a) ). % 0.76/0.81 % 0.76/0.81 cnf(cls_Un__insert__right_0,axiom, % 0.76/0.81 c_Lattices_Oupper__semilattice__class_Osup(V_A,c_Set_Oinsert(V_a,V_B,T_a),tc_fun(T_a,tc_bool)) = c_Set_Oinsert(V_a,c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_a,tc_bool)),T_a) ). % 0.76/0.81 % 0.76/0.81 cnf(cls_neg__le__iff__le_0,axiom, % 0.76/0.81 ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a) % 0.76/0.81 | c_lessequals(V_a,V_b,T_a) % 0.76/0.81 | ~ c_lessequals(c_HOL_Ouminus__class_Ouminus(V_b,T_a),c_HOL_Ouminus__class_Ouminus(V_a,T_a),T_a) ) ). % 0.76/0.81 % 0.76/0.81 cnf(cls_le__imp__neg__le_0,axiom, % 0.76/0.81 ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a) % 0.76/0.81 | c_lessequals(c_HOL_Ouminus__class_Ouminus(V_b,T_a),c_HOL_Ouminus__class_Ouminus(V_a,T_a),T_a) % 0.76/0.81 | ~ c_lessequals(V_a,V_b,T_a) ) ). % 0.76/0.81 % 0.76/0.81 cnf(cls_Compl__anti__mono_0,axiom, % 0.76/0.81 ( c_lessequals(c_HOL_Ouminus__class_Ouminus(V_B,tc_fun(T_a,tc_bool)),c_HOL_Ouminus__class_Ouminus(V_A,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)) % 0.76/0.81 | ~ c_lessequals(V_A,V_B,tc_fun(T_a,tc_bool)) ) ). % 0.76/0.81 % 0.76/0.81 cnf(cls_Compl__subset__Compl__iff_0,axiom, % 0.76/0.81 ( c_lessequals(V_B,V_A,tc_fun(T_a,tc_bool)) % 0.76/0.81 | ~ c_lessequals(c_HOL_Ouminus__class_Ouminus(V_A,tc_fun(T_a,tc_bool)),c_HOL_Ouminus__class_Ouminus(V_B,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)) ) ). % 0.76/0.82 % 0.76/0.82 cnf(cls_Compl__subset__Compl__iff_1,axiom, % 0.76/0.82 ( c_lessequals(c_HOL_Ouminus__class_Ouminus(V_A,tc_fun(T_a,tc_bool)),c_HOL_Ouminus__class_Ouminus(V_B,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)) % 0.76/0.82 | ~ c_lessequals(V_B,V_A,tc_fun(T_a,tc_bool)) ) ). % 0.76/0.82 % 0.76/0.82 cnf(cls_synth__mono_0,axiom, % 0.76/0.82 ( c_lessequals(c_Message_Osynth(V_G),c_Message_Osynth(V_H),tc_fun(tc_Message_Omsg,tc_bool)) % 0.76/0.82 | ~ c_lessequals(V_G,V_H,tc_fun(tc_Message_Omsg,tc_bool)) ) ). % 0.76/0.82 % 0.76/0.82 cnf(cls_split__list__last__prop__iff_6,axiom, % 0.76/0.82 ( hBOOL(hAPP(V_P,c_List_Osko__List__Xsplit__list__last__prop__iff__1__5(V_P,c_List_Oappend(V_x,c_List_Olist_OCons(V_xa,V_xb,T_a),T_a),T_a))) % 0.76/0.82 | hBOOL(hAPP(V_P,c_List_Osko__List__Xsplit__list__last__prop__iff__1__5(V_P,V_xb,T_a))) % 0.76/0.82 | ~ hBOOL(hAPP(V_P,V_xa)) ) ). % 0.76/0.82 % 0.76/0.82 cnf(cls_sup__top__right_0,axiom, % 0.76/0.82 ( ~ class_Lattices_Obounded__lattice(T_a) % 0.76/0.82 | c_Lattices_Oupper__semilattice__class_Osup(V_x,c_Orderings_Otop__class_Otop(T_a),T_a) = c_Orderings_Otop__class_Otop(T_a) ) ). % 0.76/0.82 % 0.76/0.82 cnf(cls_sup__top__left_0,axiom, % 0.76/0.82 ( ~ class_Lattices_Obounded__lattice(T_a) % 0.76/0.82 | c_Lattices_Oupper__semilattice__class_Osup(c_Orderings_Otop__class_Otop(T_a),V_x,T_a) = c_Orderings_Otop__class_Otop(T_a) ) ). % 0.76/0.82 % 0.76/0.82 cnf(cls_Un__UNIV__left_0,axiom, % 0.76/0.82 c_Lattices_Oupper__semilattice__class_Osup(c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_bool)),V_B,tc_fun(T_a,tc_bool)) = c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_bool)) ). % 0.76/0.82 % 0.76/0.82 cnf(cls_Un__UNIV__right_0,axiom, % 0.76/0.82 c_Lattices_Oupper__semilattice__class_Osup(V_A,c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)) = c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_bool)) ). % 0.76/0.82 % 0.76/0.82 cnf(cls_parts__Un__subset2_0,axiom, % 0.76/0.82 c_lessequals(c_Message_Oparts(c_Lattices_Oupper__semilattice__class_Osup(V_G,V_H,tc_fun(tc_Message_Omsg,tc_bool))),c_Lattices_Oupper__semilattice__class_Osup(c_Message_Oparts(V_G),c_Message_Oparts(V_H),tc_fun(tc_Message_Omsg,tc_bool)),tc_fun(tc_Message_Omsg,tc_bool)) ). % 0.76/0.82 % 0.76/0.82 cnf(cls_subset__insertI_0,axiom, % 0.76/0.82 c_lessequals(V_B,c_Set_Oinsert(V_a,V_B,T_a),tc_fun(T_a,tc_bool)) ). % 0.76/0.82 % 0.76/0.82 cnf(cls_synth__insert_0,axiom, % 0.76/0.82 c_lessequals(c_Set_Oinsert(V_X,c_Message_Osynth(V_H),tc_Message_Omsg),c_Message_Osynth(c_Set_Oinsert(V_X,V_H,tc_Message_Omsg)),tc_fun(tc_Message_Omsg,tc_bool)) ). % 0.76/0.82 % 0.76/0.82 cnf(cls_pushes_I11_J_0,axiom, % 0.76/0.82 c_Set_Oinsert(c_Message_Omsg_OCrypt(V_X,V_K),c_Set_Oinsert(c_Message_Omsg_OHash(V_X_H),V_A,tc_Message_Omsg),tc_Message_Omsg) = c_Set_Oinsert(c_Message_Omsg_OHash(V_X_H),c_Set_Oinsert(c_Message_Omsg_OCrypt(V_X,V_K),V_A,tc_Message_Omsg),tc_Message_Omsg) ). % 0.76/0.82 % 0.76/0.82 cnf(cls_split__list__first__prop__iff_6,axiom, % 0.76/0.82 ( hBOOL(hAPP(V_P,c_List_Osko__List__Xsplit__list__first__prop__iff__1__5(V_P,c_List_Oappend(V_x,c_List_Olist_OCons(V_xa,V_xb,T_a),T_a),T_a))) % 0.76/0.82 | hBOOL(hAPP(V_P,c_List_Osko__List__Xsplit__list__first__prop__iff__1__5(V_P,V_x,T_a))) % 0.76/0.82 | ~ hBOOL(hAPP(V_P,V_xa)) ) ). % 0.76/0.82 % 0.76/0.82 cnf(cls_keysFor__insert__Key_0,axiom, % 0.76/0.82 c_Message_OkeysFor(c_Set_Oinsert(hAPP(c_Message_Omsg_OKey,V_K),V_H,tc_Message_Omsg)) = c_Message_OkeysFor(V_H) ). % 0.76/0.82 % 0.76/0.82 cnf(cls_sup1E_0,axiom, % 0.76/0.82 ( hBOOL(hAPP(V_B,V_x)) % 0.76/0.82 | hBOOL(hAPP(V_A,V_x)) % 0.76/0.82 | ~ hBOOL(hAPP(c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_a,tc_bool)),V_x)) ) ). % 0.76/0.82 % 0.76/0.82 cnf(cls_sup1CI_0,axiom, % 0.76/0.82 ( hBOOL(hAPP(c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_a,tc_bool)),V_x)) % 0.76/0.82 | ~ hBOOL(hAPP(V_B,V_x)) ) ). % 0.76/0.82 % 0.76/0.82 cnf(cls_sup1CI_1,axiom, % 0.76/0.82 ( hBOOL(hAPP(c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_a,tc_bool)),V_x)) % 0.76/0.82 | ~ hBOOL(hAPP(V_A,V_x)) ) ). % 0.76/0.82 % 0.76/0.82 cnf(cls_synth__Un_0,axiom, % 0.76/0.82 c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(c_Message_Osynth(V_G),c_Message_Osynth(V_H),tc_fun(tc_Message_Omsg,tc_bool)),c_Message_Osynth(c_Lattices_Oupper__semilattice__class_Osup(V_G,V_H,tc_fun(tc_Message_Omsg,tc_bool))),tc_fun(tc_Message_Omsg,tc_bool)) ). % 0.76/0.82 % 0.76/0.82 cnf(cls_parts__insert__Hash_0,axiom, % 0.76/0.82 c_Message_Oparts(c_Set_Oinsert(c_Message_Omsg_OHash(V_X),V_H,tc_Message_Omsg)) = c_Set_Oinsert(c_Message_Omsg_OHash(V_X),c_Message_Oparts(V_H),tc_Message_Omsg) ). % 0.76/0.82 % 0.76/0.82 cnf(cls_compl__eq__compl__iff_0,axiom, % 0.76/0.82 ( ~ class_Lattices_Oboolean__algebra(T_a) % 0.76/0.82 | c_HOL_Ouminus__class_Ouminus(V_x,T_a) != c_HOL_Ouminus__class_Ouminus(V_y,T_a) % 0.76/0.82 | V_x = V_y ) ). % 0.76/0.82 % 0.76/0.82 cnf(cls_neg__equal__iff__equal_0,axiom, % 0.76/0.82 ( ~ class_OrderedGroup_Ogroup__add(T_a) % 0.76/0.82 | c_HOL_Ouminus__class_Ouminus(V_a,T_a) != c_HOL_Ouminus__class_Ouminus(V_b,T_a) % 0.76/0.82 | V_a = V_b ) ). % 0.76/0.82 % 0.76/0.82 cnf(cls_Compl__eq__Compl__iff_0,axiom, % 0.76/0.82 ( c_HOL_Ouminus__class_Ouminus(V_A,tc_fun(T_a,tc_bool)) != c_HOL_Ouminus__class_Ouminus(V_B,tc_fun(T_a,tc_bool)) % 0.76/0.82 | V_A = V_B ) ). % 0.76/0.82 % 0.76/0.82 cnf(cls_equalityI_0,axiom, % 0.76/0.82 ( V_A = V_B % 0.76/0.82 | ~ c_lessequals(V_B,V_A,tc_fun(T_a,tc_bool)) % 0.76/0.82 | ~ c_lessequals(V_A,V_B,tc_fun(T_a,tc_bool)) ) ). % 0.76/0.82 % 0.76/0.82 cnf(cls_set__eq__subset_2,axiom, % 0.76/0.82 ( V_A = V_B % 0.76/0.82 | ~ c_lessequals(V_B,V_A,tc_fun(T_a,tc_bool)) % 0.76/0.82 | ~ c_lessequals(V_A,V_B,tc_fun(T_a,tc_bool)) ) ). % 0.76/0.82 % 0.76/0.82 cnf(cls_order__eq__iff_2,axiom, % 0.76/0.82 ( ~ class_Orderings_Oorder(T_a) % 0.76/0.82 | V_x = V_y % 0.76/0.82 | ~ c_lessequals(V_y,V_x,T_a) % 0.76/0.82 | ~ c_lessequals(V_x,V_y,T_a) ) ). % 0.76/0.82 % 0.76/0.82 cnf(cls_order__antisym_0,axiom, % 0.76/0.82 ( ~ class_Orderings_Oorder(T_a) % 0.76/0.82 | V_x = V_y % 0.76/0.82 | ~ c_lessequals(V_y,V_x,T_a) % 0.76/0.82 | ~ c_lessequals(V_x,V_y,T_a) ) ). % 0.76/0.82 % 0.76/0.82 cnf(cls_order__antisym__conv_0,axiom, % 0.76/0.82 ( ~ class_Orderings_Oorder(T_a) % 0.76/0.82 | V_x = V_y % 0.76/0.82 | ~ c_lessequals(V_x,V_y,T_a) % 0.76/0.82 | ~ c_lessequals(V_y,V_x,T_a) ) ). % 0.76/0.82 % 0.76/0.82 cnf(cls_sup__absorb1_0,axiom, % 0.76/0.82 ( ~ class_Lattices_Oupper__semilattice(T_a) % 0.76/0.82 | c_Lattices_Oupper__semilattice__class_Osup(V_x,V_y,T_a) = V_x % 0.76/0.82 | ~ c_lessequals(V_y,V_x,T_a) ) ). % 0.76/0.82 % 0.76/0.82 cnf(cls_le__iff__sup_1,axiom, % 0.76/0.82 ( ~ class_Lattices_Oupper__semilattice(T_a) % 0.76/0.82 | c_Lattices_Oupper__semilattice__class_Osup(V_x,V_y,T_a) != V_y % 0.76/0.82 | c_lessequals(V_x,V_y,T_a) ) ). % 0.76/0.82 % 0.76/0.82 cnf(cls_le__iff__sup_0,axiom, % 0.76/0.82 ( ~ class_Lattices_Oupper__semilattice(T_a) % 0.76/0.82 | c_Lattices_Oupper__semilattice__class_Osup(V_x,V_y,T_a) = V_y % 0.76/0.82 | ~ c_lessequals(V_x,V_y,T_a) ) ). % 0.76/0.82 % 0.76/0.82 cnf(cls_Un__absorb1_0,axiom, % 0.76/0.82 ( c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_a,tc_bool)) = V_B % 0.76/0.82 | ~ c_lessequals(V_A,V_B,tc_fun(T_a,tc_bool)) ) ). % 0.76/0.82 % 0.76/0.82 cnf(cls_Un__absorb2_0,axiom, % 0.76/0.82 ( c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_a,tc_bool)) = V_A % 0.76/0.82 | ~ c_lessequals(V_B,V_A,tc_fun(T_a,tc_bool)) ) ). % 0.76/0.82 % 0.76/0.82 cnf(cls_subset__Un__eq_1,axiom, % 0.76/0.82 ( c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_a,tc_bool)) != V_B % 0.76/0.82 | c_lessequals(V_A,V_B,tc_fun(T_a,tc_bool)) ) ). % 0.76/0.82 % 0.76/0.82 cnf(cls_set__append_0,axiom, % 0.76/0.82 c_List_Oset(c_List_Oappend(V_xs,V_ys,T_a),T_a) = c_Lattices_Oupper__semilattice__class_Osup(c_List_Oset(V_xs,T_a),c_List_Oset(V_ys,T_a),tc_fun(T_a,tc_bool)) ). % 0.76/0.82 % 0.76/0.82 cnf(cls_parts__insert__subset_0,axiom, % 0.76/0.82 c_lessequals(c_Set_Oinsert(V_X,c_Message_Oparts(V_H),tc_Message_Omsg),c_Message_Oparts(c_Set_Oinsert(V_X,V_H,tc_Message_Omsg)),tc_fun(tc_Message_Omsg,tc_bool)) ). % 0.76/0.82 % 0.76/0.82 cnf(cls_pushes_I4_J_0,axiom, % 0.76/0.82 c_Set_Oinsert(hAPP(c_Message_Omsg_OKey,V_K),c_Set_Oinsert(c_Message_Omsg_OHash(V_X),V_A,tc_Message_Omsg),tc_Message_Omsg) = c_Set_Oinsert(c_Message_Omsg_OHash(V_X),c_Set_Oinsert(hAPP(c_Message_Omsg_OKey,V_K),V_A,tc_Message_Omsg),tc_Message_Omsg) ). % 0.76/0.82 % 0.76/0.82 cnf(cls_msg_Osimps_I5_J_0,axiom, % 0.76/0.82 ( c_Message_Omsg_OHash(V_msg) != c_Message_Omsg_OHash(V_msg_H) % 0.76/0.82 | V_msg = V_msg_H ) ). % 0.76/0.82 % 0.76/0.82 cnf(cls_analz__image__freshK__simps_I57_J_0,axiom, % 0.76/0.82 c_Lattices_Oupper__semilattice__class_Osup(c_Set_Oimage(V_f,V_A,T_b,T_a),c_Set_Oimage(V_f,V_B,T_b,T_a),tc_fun(T_a,tc_bool)) = c_Set_Oimage(V_f,c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_b,tc_bool)),T_b,T_a) ). % 0.76/0.82 % 0.76/0.82 cnf(cls_Un__mono_0,axiom, % 0.76/0.82 ( c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_a,tc_bool)),c_Lattices_Oupper__semilattice__class_Osup(V_C,V_D,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)) % 0.76/0.82 | ~ c_lessequals(V_B,V_D,tc_fun(T_a,tc_bool)) % 0.76/0.82 | ~ c_lessequals(V_A,V_C,tc_fun(T_a,tc_bool)) ) ). % 0.76/0.82 % 0.76/0.82 cnf(cls_subset__UNIV_0,axiom, % 0.76/0.82 c_lessequals(V_A,c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)) ). % 0.76/0.82 % 0.76/0.82 cnf(cls_top__greatest_0,axiom, % 0.76/0.82 ( ~ class_Orderings_Otop(T_a) % 0.76/0.82 | c_lessequals(V_x,c_Orderings_Otop__class_Otop(T_a),T_a) ) ). % 0.76/0.82 % 0.76/0.82 cnf(cls_insert__subset_2,axiom, % 0.76/0.82 ( c_lessequals(c_Set_Oinsert(V_x,V_A,T_a),V_B,tc_fun(T_a,tc_bool)) % 0.76/0.82 | ~ c_lessequals(V_A,V_B,tc_fun(T_a,tc_bool)) % 0.76/0.82 | ~ c_in(V_x,V_B,T_a) ) ). % 0.76/0.82 % 0.76/0.82 cnf(cls_synth__increasing_0,axiom, % 0.76/0.82 c_lessequals(V_H,c_Message_Osynth(V_H),tc_fun(tc_Message_Omsg,tc_bool)) ). % 0.76/0.82 % 0.76/0.82 cnf(cls_le__sup__iff_1,axiom, % 0.76/0.82 ( ~ class_Lattices_Oupper__semilattice(T_a) % 0.76/0.82 | c_lessequals(V_y,V_z,T_a) % 0.76/0.82 | ~ c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(V_x,V_y,T_a),V_z,T_a) ) ). % 0.76/0.82 % 0.76/0.82 cnf(cls_le__sup__iff_0,axiom, % 0.76/0.82 ( ~ class_Lattices_Oupper__semilattice(T_a) % 0.76/0.82 | c_lessequals(V_x,V_z,T_a) % 0.76/0.82 | ~ c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(V_x,V_y,T_a),V_z,T_a) ) ). % 0.76/0.82 % 0.76/0.82 cnf(cls_le__supI2_0,axiom, % 0.76/0.82 ( ~ class_Lattices_Oupper__semilattice(T_a) % 0.76/0.82 | c_lessequals(V_x,c_Lattices_Oupper__semilattice__class_Osup(V_a,V_b,T_a),T_a) % 0.76/0.82 | ~ c_lessequals(V_x,V_b,T_a) ) ). % 0.76/0.82 % 0.76/0.82 cnf(cls_le__supI1_0,axiom, % 0.76/0.82 ( ~ class_Lattices_Oupper__semilattice(T_a) % 0.76/0.82 | c_lessequals(V_x,c_Lattices_Oupper__semilattice__class_Osup(V_a,V_b,T_a),T_a) % 0.76/0.82 | ~ c_lessequals(V_x,V_a,T_a) ) ). % 0.76/0.82 % 0.76/0.82 cnf(cls_le__supE_1,axiom, % 0.76/0.82 ( ~ class_Lattices_Oupper__semilattice(T_a) % 0.76/0.82 | c_lessequals(V_b,V_x,T_a) % 0.76/0.82 | ~ c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(V_a,V_b,T_a),V_x,T_a) ) ). % 0.76/0.82 % 0.76/0.82 cnf(cls_le__supE_0,axiom, % 0.76/0.82 ( ~ class_Lattices_Oupper__semilattice(T_a) % 0.76/0.82 | c_lessequals(V_a,V_x,T_a) % 0.76/0.82 | ~ c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(V_a,V_b,T_a),V_x,T_a) ) ). % 0.76/0.82 % 0.76/0.82 cnf(cls_Un__subset__iff_0,axiom, % 0.76/0.82 ( c_lessequals(V_A,V_C,tc_fun(T_a,tc_bool)) % 0.76/0.82 | ~ c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_a,tc_bool)),V_C,tc_fun(T_a,tc_bool)) ) ). % 0.76/0.82 % 0.76/0.82 cnf(cls_Un__subset__iff_1,axiom, % 0.76/0.82 ( c_lessequals(V_B,V_C,tc_fun(T_a,tc_bool)) % 0.76/0.82 | ~ c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_a,tc_bool)),V_C,tc_fun(T_a,tc_bool)) ) ). % 0.76/0.82 % 0.76/0.82 cnf(cls_xt1_I6_J_0,axiom, % 0.76/0.82 ( ~ class_Orderings_Oorder(T_a) % 0.76/0.82 | c_lessequals(V_z,V_x,T_a) % 0.76/0.82 | ~ c_lessequals(V_z,V_y,T_a) % 0.76/0.82 | ~ c_lessequals(V_y,V_x,T_a) ) ). % 0.76/0.82 % 0.76/0.82 cnf(cls_order__trans_0,axiom, % 0.76/0.82 ( ~ class_Orderings_Opreorder(T_a) % 0.76/0.82 | c_lessequals(V_x,V_z,T_a) % 0.76/0.82 | ~ c_lessequals(V_y,V_z,T_a) % 0.76/0.82 | ~ c_lessequals(V_x,V_y,T_a) ) ). % 0.76/0.82 % 0.76/0.82 cnf(cls_equalityE_0,axiom, % 0.76/0.82 c_lessequals(V_x,V_x,tc_fun(T_a,tc_bool)) ). % 0.76/0.82 % 0.76/0.82 cnf(cls_subset__refl_0,axiom, % 0.76/0.82 c_lessequals(V_A,V_A,tc_fun(T_a,tc_bool)) ). % 0.76/0.82 % 0.76/0.82 cnf(cls_subset__trans_0,axiom, % 0.76/0.82 ( c_lessequals(V_A,V_C,tc_fun(T_a,tc_bool)) % 0.76/0.82 | ~ c_lessequals(V_B,V_C,tc_fun(T_a,tc_bool)) % 0.76/0.82 | ~ c_lessequals(V_A,V_B,tc_fun(T_a,tc_bool)) ) ). % 0.76/0.82 % 0.76/0.82 cnf(cls_predicate1D_0,axiom, % 0.76/0.82 ( hBOOL(hAPP(V_Q,V_x)) % 0.76/0.82 | ~ hBOOL(hAPP(V_P,V_x)) % 0.76/0.82 | ~ c_lessequals(V_P,V_Q,tc_fun(T_a,tc_bool)) ) ). % 0.76/0.82 % 0.76/0.82 cnf(cls_order__eq__iff_0,axiom, % 0.76/0.82 ( ~ class_Orderings_Oorder(T_a) % 0.76/0.82 | c_lessequals(V_x,V_x,T_a) ) ). % 0.76/0.82 % 0.76/0.82 cnf(cls_order__eq__refl_0,axiom, % 0.76/0.82 ( ~ class_Orderings_Opreorder(T_a) % 0.76/0.82 | c_lessequals(V_x,V_x,T_a) ) ). % 0.76/0.82 % 0.76/0.82 cnf(cls_rev__predicate1D_0,axiom, % 0.76/0.82 ( hBOOL(hAPP(V_Q,V_x)) % 0.76/0.82 | ~ c_lessequals(V_P,V_Q,tc_fun(T_a,tc_bool)) % 0.76/0.82 | ~ hBOOL(hAPP(V_P,V_x)) ) ). % 0.76/0.82 % 0.76/0.82 cnf(cls_keysFor__insert__Hash_0,axiom, % 0.76/0.82 c_Message_OkeysFor(c_Set_Oinsert(c_Message_Omsg_OHash(V_X),V_H,tc_Message_Omsg)) = c_Message_OkeysFor(V_H) ). % 0.76/0.82 % 0.76/0.82 cnf(cls_parts__insert__subset__Un_0,axiom, % 0.76/0.82 ( c_lessequals(c_Message_Oparts(c_Set_Oinsert(V_X,V_H,tc_Message_Omsg)),c_Lattices_Oupper__semilattice__class_Osup(c_Message_Oparts(V_G),c_Message_Oparts(V_H),tc_fun(tc_Message_Omsg,tc_bool)),tc_fun(tc_Message_Omsg,tc_bool)) % 0.76/0.82 | ~ c_in(V_X,V_G,tc_Message_Omsg) ) ). % 0.76/0.82 % 0.76/0.82 cnf(cls_image__mono_0,axiom, % 0.76/0.82 ( c_lessequals(c_Set_Oimage(V_f,V_A,T_a,T_b),c_Set_Oimage(V_f,V_B,T_a,T_b),tc_fun(T_b,tc_bool)) % 0.76/0.82 | ~ c_lessequals(V_A,V_B,tc_fun(T_a,tc_bool)) ) ). % 0.76/0.82 % 0.76/0.82 cnf(cls_subset__image__iff_2,axiom, % 0.76/0.82 ( ~ c_lessequals(V_x,V_A,tc_fun(T_b,tc_bool)) % 0.76/0.82 | c_lessequals(c_Set_Oimage(V_f,V_x,T_b,T_a),c_Set_Oimage(V_f,V_A,T_b,T_a),tc_fun(T_a,tc_bool)) ) ). % 0.76/0.82 % 0.76/0.82 cnf(cls_insert__mono_0,axiom, % 0.76/0.82 ( c_lessequals(c_Set_Oinsert(V_a,V_C,T_a),c_Set_Oinsert(V_a,V_D,T_a),tc_fun(T_a,tc_bool)) % 0.76/0.82 | ~ c_lessequals(V_C,V_D,tc_fun(T_a,tc_bool)) ) ). % 0.76/0.82 % 0.76/0.82 cnf(cls_image__Un_0,axiom, % 0.76/0.82 c_Set_Oimage(V_f,c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_b,tc_bool)),T_b,T_a) = c_Lattices_Oupper__semilattice__class_Osup(c_Set_Oimage(V_f,V_A,T_b,T_a),c_Set_Oimage(V_f,V_B,T_b,T_a),tc_fun(T_a,tc_bool)) ). % 0.76/0.82 % 0.76/0.82 cnf(cls_analz__insert_0,axiom, % 0.76/0.82 c_lessequals(c_Set_Oinsert(V_X,c_Message_Oanalz(V_H),tc_Message_Omsg),c_Message_Oanalz(c_Set_Oinsert(V_X,V_H,tc_Message_Omsg)),tc_fun(tc_Message_Omsg,tc_bool)) ). % 0.76/0.82 % 0.76/0.82 cnf(cls_analz__subset__cong_0,axiom, % 0.76/0.82 ( c_lessequals(c_Message_Oanalz(c_Lattices_Oupper__semilattice__class_Osup(V_G,V_H,tc_fun(tc_Message_Omsg,tc_bool))),c_Message_Oanalz(c_Lattices_Oupper__semilattice__class_Osup(V_G_H,V_H_H,tc_fun(tc_Message_Omsg,tc_bool))),tc_fun(tc_Message_Omsg,tc_bool)) % 0.76/0.82 | ~ c_lessequals(c_Message_Oanalz(V_H),c_Message_Oanalz(V_H_H),tc_fun(tc_Message_Omsg,tc_bool)) % 0.76/0.82 | ~ c_lessequals(c_Message_Oanalz(V_G),c_Message_Oanalz(V_G_H),tc_fun(tc_Message_Omsg,tc_bool)) ) ). % 0.76/0.82 % 0.76/0.82 cnf(cls_linorder__linear_0,axiom, % 0.76/0.82 ( ~ class_Orderings_Olinorder(T_a) % 0.76/0.82 | c_lessequals(V_y,V_x,T_a) % 0.76/0.82 | c_lessequals(V_x,V_y,T_a) ) ). % 0.76/0.82 % 0.76/0.82 cnf(cls_image__subset__iff_0,axiom, % 0.76/0.82 ( c_in(hAPP(V_f,V_x),V_B,T_a) % 0.76/0.82 | ~ c_in(V_x,V_A,T_b) % 0.76/0.82 | ~ c_lessequals(c_Set_Oimage(V_f,V_A,T_b,T_a),V_B,tc_fun(T_a,tc_bool)) ) ). % 0.76/0.82 % 0.76/0.82 cnf(cls_set__subset__Cons_0,axiom, % 0.76/0.82 c_lessequals(c_List_Oset(V_xs,T_a),c_List_Oset(c_List_Olist_OCons(V_x,V_xs,T_a),T_a),tc_fun(T_a,tc_bool)) ). % 0.76/0.82 % 0.76/0.82 cnf(cls_in__parts__UnE_0,axiom, % 0.76/0.82 ( c_in(V_c,c_Message_Oparts(V_H),tc_Message_Omsg) % 0.76/0.82 | c_in(V_c,c_Message_Oparts(V_G),tc_Message_Omsg) % 0.76/0.82 | ~ c_in(V_c,c_Message_Oparts(c_Lattices_Oupper__semilattice__class_Osup(V_G,V_H,tc_fun(tc_Message_Omsg,tc_bool))),tc_Message_Omsg) ) ). % 0.76/0.82 % 0.76/0.82 cnf(cls_parts__trans_0,axiom, % 0.76/0.82 ( c_in(V_X,c_Message_Oparts(V_H),tc_Message_Omsg) % 0.76/0.82 | ~ c_lessequals(V_G,c_Message_Oparts(V_H),tc_fun(tc_Message_Omsg,tc_bool)) % 0.76/0.82 | ~ c_in(V_X,c_Message_Oparts(V_G),tc_Message_Omsg) ) ). % 0.76/0.82 % 0.76/0.82 cnf(cls_analz__image__freshK__simps_I61_J_0,axiom, % 0.76/0.82 ( c_in(V_c,c_Message_Oanalz(c_Lattices_Oupper__semilattice__class_Osup(V_A,V_G,tc_fun(tc_Message_Omsg,tc_bool))),tc_Message_Omsg) % 0.76/0.82 | ~ c_in(V_c,c_Message_Oanalz(V_G),tc_Message_Omsg) ) ). % 0.76/0.82 % 0.76/0.82 cnf(cls_analz__trans_0,axiom, % 0.76/0.82 ( c_in(V_X,c_Message_Oanalz(V_H),tc_Message_Omsg) % 0.76/0.82 | ~ c_lessequals(V_G,c_Message_Oanalz(V_H),tc_fun(tc_Message_Omsg,tc_bool)) % 0.76/0.82 | ~ c_in(V_X,c_Message_Oanalz(V_G),tc_Message_Omsg) ) ). % 0.76/0.82 % 0.76/0.82 cnf(cls_analz__subset__parts_0,axiom, % 0.76/0.82 c_lessequals(c_Message_Oanalz(V_H),c_Message_Oparts(V_H),tc_fun(tc_Message_Omsg,tc_bool)) ). % 0.76/0.82 % 0.76/0.82 cnf(cls_Hash__synth_0,axiom, % 0.76/0.82 ( c_in(V_X,c_Message_Osynth(V_H),tc_Message_Omsg) % 0.76/0.82 | c_in(c_Message_Omsg_OHash(V_X),V_H,tc_Message_Omsg) % 0.76/0.82 | ~ c_in(c_Message_Omsg_OHash(V_X),c_Message_Osynth(V_H),tc_Message_Omsg) ) ). % 0.76/0.82 % 0.76/0.82 cnf(cls_synth__trans_0,axiom, % 0.76/0.82 ( c_in(V_X,c_Message_Osynth(V_H),tc_Message_Omsg) % 0.76/0.82 | ~ c_lessequals(V_G,c_Message_Osynth(V_H),tc_fun(tc_Message_Omsg,tc_bool)) % 0.76/0.82 | ~ c_in(V_X,c_Message_Osynth(V_G),tc_Message_Omsg) ) ). % 0.76/0.82 % 0.76/0.82 cnf(cls_synth_OHash_0,axiom, % 0.76/0.82 ( c_in(c_Message_Omsg_OHash(V_X),c_Message_Osynth(V_H),tc_Message_Omsg) % 0.76/0.82 | ~ c_in(V_X,c_Message_Osynth(V_H),tc_Message_Omsg) ) ). % 0.76/0.82 % 0.76/0.82 cnf(cls_parts__synth_0,axiom, % 0.76/0.82 c_Message_Oparts(c_Message_Osynth(V_H)) = c_Lattices_Oupper__semilattice__class_Osup(c_Message_Oparts(V_H),c_Message_Osynth(V_H),tc_fun(tc_Message_Omsg,tc_bool)) ). % 0.76/0.82 % 0.76/0.82 cnf(cls_synth__analz__mono_0,axiom, % 0.76/0.82 ( c_lessequals(c_Message_Osynth(c_Message_Oanalz(V_G)),c_Message_Osynth(c_Message_Oanalz(V_H)),tc_fun(tc_Message_Omsg,tc_bool)) % 0.76/0.82 | ~ c_lessequals(V_G,V_H,tc_fun(tc_Message_Omsg,tc_bool)) ) ). % 0.76/0.82 % 0.76/0.82 cnf(cls_analz__synth_0,axiom, % 0.76/0.82 c_Message_Oanalz(c_Message_Osynth(V_H)) = c_Lattices_Oupper__semilattice__class_Osup(c_Message_Oanalz(V_H),c_Message_Osynth(V_H),tc_fun(tc_Message_Omsg,tc_bool)) ). % 0.76/0.82 % 0.76/0.82 cnf(cls_analz__synth__Un_0,axiom, % 0.76/0.82 c_Message_Oanalz(c_Lattices_Oupper__semilattice__class_Osup(c_Message_Osynth(V_G),V_H,tc_fun(tc_Message_Omsg,tc_bool))) = c_Lattices_Oupper__semilattice__class_Osup(c_Message_Oanalz(c_Lattices_Oupper__semilattice__class_Osup(V_G,V_H,tc_fun(tc_Message_Omsg,tc_bool))),c_Message_Osynth(V_G),tc_fun(tc_Message_Omsg,tc_bool)) ). % 0.76/0.82 % 0.76/0.82 cnf(cls_knows__subset__knows__Cons_0,axiom, % 0.76/0.82 c_lessequals(c_Event_Oknows(V_A,V_evs),c_Event_Oknows(V_A,c_List_Olist_OCons(V_e,V_evs,tc_Event_Oevent)),tc_fun(tc_Message_Omsg,tc_bool)) ). % 0.76/0.82 % 0.76/0.82 cnf(cls_initState__subset__knows_0,axiom, % 0.76/0.82 c_lessequals(c_Event_OinitState(V_A),c_Event_Oknows(V_A,V_evs),tc_fun(tc_Message_Omsg,tc_bool)) ). % 0.76/0.82 % 0.76/0.82 cnf(cls_initState__Spy_0,axiom, % 0.76/0.82 c_Event_OinitState(c_Message_Oagent_OSpy) = c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Oupper__semilattice__class_Osup(c_Set_Oimage(c_Message_Omsg_OKey,c_Set_Oimage(c_Message_OinvKey,c_Set_Oimage(c_Public_OpublicKey(c_Public_Okeymode_OEncryption),c_Event_Obad,tc_Message_Oagent,tc_nat),tc_nat,tc_nat),tc_nat,tc_Message_Omsg),c_Set_Oimage(c_Message_Omsg_OKey,c_Set_Oimage(c_Message_OinvKey,c_Set_Oimage(c_Public_OpublicKey(c_Public_Okeymode_OSignature),c_Event_Obad,tc_Message_Oagent,tc_nat),tc_nat,tc_nat),tc_nat,tc_Message_Omsg),tc_fun(tc_Message_Omsg,tc_bool)),c_Set_Oimage(c_Message_Omsg_OKey,c_Set_Oimage(c_Public_OshrK,c_Event_Obad,tc_Message_Oagent,tc_nat),tc_nat,tc_Message_Omsg),tc_fun(tc_Message_Omsg,tc_bool)),c_Set_Oimage(c_Message_Omsg_OKey,c_Set_Oimage(c_Public_OpublicKey(c_Public_Okeymode_OEncryption),c_Orderings_Otop__class_Otop(tc_fun(tc_Message_Oagent,tc_bool)),tc_Message_Oagent,tc_nat),tc_nat,tc_Message_Omsg),tc_fun(tc_Message_Omsg,tc_bool)),c_Set_Oimage(c_Message_Omsg_OKey,c_Set_Oimage(c_Public_OpublicKey(c_Public_Okeymode_OSignature),c_Orderings_Otop__class_Otop(tc_fun(tc_Message_Oagent,tc_bool)),tc_Message_Oagent,tc_nat),tc_nat,tc_Message_Omsg),tc_fun(tc_Message_Omsg,tc_bool)) ). % 0.76/0.82 % 0.76/0.82 cnf(cls_keysFor__insert__Nonce_0,axiom, % 0.76/0.82 c_Message_OkeysFor(c_Set_Oinsert(c_Message_Omsg_ONonce(V_N),V_H,tc_Message_Omsg)) = c_Message_OkeysFor(V_H) ). % 0.76/0.82 % 0.76/0.82 cnf(cls_subset__insertI2_0,axiom, % 0.76/0.82 ( c_lessequals(V_A,c_Set_Oinsert(V_b,V_B,T_a),tc_fun(T_a,tc_bool)) % 0.76/0.82 | ~ c_lessequals(V_A,V_B,tc_fun(T_a,tc_bool)) ) ). % 0.76/0.82 % 0.76/0.82 cnf(cls_insert__subset_1,axiom, % 0.76/0.82 ( c_lessequals(V_A,V_B,tc_fun(T_a,tc_bool)) % 0.76/0.82 | ~ c_lessequals(c_Set_Oinsert(V_x,V_A,T_a),V_B,tc_fun(T_a,tc_bool)) ) ). % 0.76/0.82 % 0.76/0.82 cnf(cls_Un__absorb_0,axiom, % 0.76/0.82 c_Lattices_Oupper__semilattice__class_Osup(V_A,V_A,tc_fun(T_a,tc_bool)) = V_A ). % 0.76/0.82 % 0.76/0.82 cnf(cls_sup__idem_0,axiom, % 0.76/0.82 ( ~ class_Lattices_Oupper__semilattice(T_a) % 0.76/0.82 | c_Lattices_Oupper__semilattice__class_Osup(V_x,V_x,T_a) = V_x ) ). % 0.76/0.82 % 0.76/0.82 cnf(cls_analz__Un_0,axiom, % 0.76/0.82 c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(c_Message_Oanalz(V_G),c_Message_Oanalz(V_H),tc_fun(tc_Message_Omsg,tc_bool)),c_Message_Oanalz(c_Lattices_Oupper__semilattice__class_Osup(V_G,V_H,tc_fun(tc_Message_Omsg,tc_bool))),tc_fun(tc_Message_Omsg,tc_bool)) ). % 0.76/0.82 % 0.76/0.82 cnf(cls_parts__Un__subset1_0,axiom, % 0.76/0.82 c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(c_Message_Oparts(V_G),c_Message_Oparts(V_H),tc_fun(tc_Message_Omsg,tc_bool)),c_Message_Oparts(c_Lattices_Oupper__semilattice__class_Osup(V_G,V_H,tc_fun(tc_Message_Omsg,tc_bool))),tc_fun(tc_Message_Omsg,tc_bool)) ). % 0.76/0.82 % 0.76/0.82 cnf(cls_synth__subset__iff_1,axiom, % 0.76/0.82 ( c_lessequals(c_Message_Osynth(V_G),c_Message_Osynth(V_H),tc_fun(tc_Message_Omsg,tc_bool)) % 0.76/0.82 | ~ c_lessequals(V_G,c_Message_Osynth(V_H),tc_fun(tc_Message_Omsg,tc_bool)) ) ). % 0.76/0.82 % 0.76/0.82 cnf(cls_synth__subset__iff_0,axiom, % 0.76/0.82 ( c_lessequals(V_G,c_Message_Osynth(V_H),tc_fun(tc_Message_Omsg,tc_bool)) % 0.76/0.82 | ~ c_lessequals(c_Message_Osynth(V_G),c_Message_Osynth(V_H),tc_fun(tc_Message_Omsg,tc_bool)) ) ). % 0.76/0.82 % 0.76/0.82 cnf(cls_Fake__analz__insert_0,axiom, % 0.76/0.82 ( c_lessequals(c_Message_Oanalz(c_Set_Oinsert(V_X,V_H,tc_Message_Omsg)),c_Lattices_Oupper__semilattice__class_Osup(c_Message_Osynth(c_Message_Oanalz(V_G)),c_Message_Oanalz(c_Lattices_Oupper__semilattice__class_Osup(V_G,V_H,tc_fun(tc_Message_Omsg,tc_bool))),tc_fun(tc_Message_Omsg,tc_bool)),tc_fun(tc_Message_Omsg,tc_bool)) % 0.76/0.82 | ~ c_in(V_X,c_Message_Osynth(c_Message_Oanalz(V_G)),tc_Message_Omsg) ) ). % 0.76/0.82 % 0.76/0.82 cnf(cls_Un__left__commute_0,axiom, % 0.76/0.82 c_Lattices_Oupper__semilattice__class_Osup(V_A,c_Lattices_Oupper__semilattice__class_Osup(V_B,V_C,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)) = c_Lattices_Oupper__semilattice__class_Osup(V_B,c_Lattices_Oupper__semilattice__class_Osup(V_A,V_C,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)) ). % 0.76/0.82 % 0.76/0.82 cnf(cls_Un__assoc_0,axiom, % 0.76/0.82 c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_a,tc_bool)),V_C,tc_fun(T_a,tc_bool)) = c_Lattices_Oupper__semilattice__class_Osup(V_A,c_Lattices_Oupper__semilattice__class_Osup(V_B,V_C,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)) ). % 0.76/0.82 % 0.76/0.82 cnf(cls_sup__assoc_0,axiom, % 0.76/0.82 ( ~ class_Lattices_Oupper__semilattice(T_a) % 0.76/0.83 | c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Oupper__semilattice__class_Osup(V_x,V_y,T_a),V_z,T_a) = c_Lattices_Oupper__semilattice__class_Osup(V_x,c_Lattices_Oupper__semilattice__class_Osup(V_y,V_z,T_a),T_a) ) ). % 0.76/0.83 % 0.76/0.83 cnf(cls_sup__left__commute_0,axiom, % 0.76/0.83 ( ~ class_Lattices_Oupper__semilattice(T_a) % 0.76/0.83 | c_Lattices_Oupper__semilattice__class_Osup(V_x,c_Lattices_Oupper__semilattice__class_Osup(V_y,V_z,T_a),T_a) = c_Lattices_Oupper__semilattice__class_Osup(V_y,c_Lattices_Oupper__semilattice__class_Osup(V_x,V_z,T_a),T_a) ) ). % 0.76/0.83 % 0.76/0.83 cnf(cls_analz__image__freshK__simps_I65_J_0,axiom, % 0.76/0.83 c_Lattices_Oupper__semilattice__class_Osup(V_A,c_Lattices_Oupper__semilattice__class_Osup(V_B,V_C,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)) = c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_a,tc_bool)),V_C,tc_fun(T_a,tc_bool)) ). % 0.76/0.83 % 0.76/0.83 cnf(cls_inf__sup__aci_I7_J_0,axiom, % 0.76/0.83 ( ~ class_Lattices_Olattice(T_a) % 0.76/0.83 | c_Lattices_Oupper__semilattice__class_Osup(V_x,c_Lattices_Oupper__semilattice__class_Osup(V_y,V_z,T_a),T_a) = c_Lattices_Oupper__semilattice__class_Osup(V_y,c_Lattices_Oupper__semilattice__class_Osup(V_x,V_z,T_a),T_a) ) ). % 0.76/0.83 % 0.76/0.83 cnf(cls_inf__sup__aci_I6_J_0,axiom, % 0.76/0.83 ( ~ class_Lattices_Olattice(T_a) % 0.76/0.83 | c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Oupper__semilattice__class_Osup(V_x,V_y,T_a),V_z,T_a) = c_Lattices_Oupper__semilattice__class_Osup(V_x,c_Lattices_Oupper__semilattice__class_Osup(V_y,V_z,T_a),T_a) ) ). % 0.76/0.83 % 0.76/0.83 cnf(cls_invKey__image__eq_1,axiom, % 0.76/0.83 ( c_in(hAPP(c_Message_OinvKey,V_x),c_Set_Oimage(c_Message_OinvKey,V_A,tc_nat,tc_nat),tc_nat) % 0.76/0.83 | ~ c_in(V_x,V_A,tc_nat) ) ). % 0.76/0.83 % 0.76/0.83 cnf(cls_invKey__image__eq_0,axiom, % 0.76/0.83 ( c_in(V_x,V_A,tc_nat) % 0.76/0.83 | ~ c_in(hAPP(c_Message_OinvKey,V_x),c_Set_Oimage(c_Message_OinvKey,V_A,tc_nat,tc_nat),tc_nat) ) ). % 0.76/0.83 % 0.76/0.83 cnf(cls_Un__subset__iff_2,axiom, % 0.76/0.83 ( c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_a,tc_bool)),V_C,tc_fun(T_a,tc_bool)) % 0.76/0.83 | ~ c_lessequals(V_B,V_C,tc_fun(T_a,tc_bool)) % 0.76/0.83 | ~ c_lessequals(V_A,V_C,tc_fun(T_a,tc_bool)) ) ). % 0.76/0.83 % 0.76/0.83 cnf(cls_Un__upper2_0,axiom, % 0.76/0.83 c_lessequals(V_B,c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)) ). % 0.76/0.83 % 0.76/0.83 cnf(cls_Un__upper1_0,axiom, % 0.76/0.83 c_lessequals(V_A,c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)) ). % 0.76/0.83 % 0.76/0.83 cnf(cls_Un__least_0,axiom, % 0.76/0.83 ( c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_a,tc_bool)),V_C,tc_fun(T_a,tc_bool)) % 0.76/0.83 | ~ c_lessequals(V_B,V_C,tc_fun(T_a,tc_bool)) % 0.76/0.83 | ~ c_lessequals(V_A,V_C,tc_fun(T_a,tc_bool)) ) ). % 0.76/0.83 % 0.76/0.83 cnf(cls_le__supI_0,axiom, % 0.76/0.83 ( ~ class_Lattices_Oupper__semilattice(T_a) % 0.76/0.83 | c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(V_a,V_b,T_a),V_x,T_a) % 0.76/0.83 | ~ c_lessequals(V_b,V_x,T_a) % 0.76/0.83 | ~ c_lessequals(V_a,V_x,T_a) ) ). % 0.76/0.83 % 0.76/0.83 cnf(cls_sup__ge1_0,axiom, % 0.76/0.83 ( ~ class_Lattices_Oupper__semilattice(T_a) % 0.76/0.83 | c_lessequals(V_x,c_Lattices_Oupper__semilattice__class_Osup(V_x,V_y,T_a),T_a) ) ). % 0.76/0.83 % 0.76/0.83 cnf(cls_sup__ge2_0,axiom, % 0.76/0.83 ( ~ class_Lattices_Oupper__semilattice(T_a) % 0.76/0.83 | c_lessequals(V_y,c_Lattices_Oupper__semilattice__class_Osup(V_x,V_y,T_a),T_a) ) ). % 0.76/0.83 % 0.76/0.83 cnf(cls_sup__least_0,axiom, % 0.76/0.83 ( ~ class_Lattices_Oupper__semilattice(T_a) % 0.76/0.83 | c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(V_y,V_z,T_a),V_x,T_a) % 0.76/0.83 | ~ c_lessequals(V_z,V_x,T_a) % 0.76/0.83 | ~ c_lessequals(V_y,V_x,T_a) ) ). % 0.76/0.83 % 0.76/0.83 cnf(cls_le__sup__iff_2,axiom, % 0.76/0.83 ( ~ class_Lattices_Oupper__semilattice(T_a) % 0.76/0.83 | c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(V_x,V_y,T_a),V_z,T_a) % 0.76/0.83 | ~ c_lessequals(V_y,V_z,T_a) % 0.76/0.83 | ~ c_lessequals(V_x,V_z,T_a) ) ). % 0.76/0.83 % 0.76/0.83 cnf(cls_inf__sup__ord_I4_J_0,axiom, % 0.76/0.83 ( ~ class_Lattices_Olattice(T_a) % 0.76/0.83 | c_lessequals(V_y,c_Lattices_Oupper__semilattice__class_Osup(V_x,V_y,T_a),T_a) ) ). % 0.76/0.83 % 0.76/0.83 cnf(cls_inf__sup__ord_I3_J_0,axiom, % 0.76/0.83 ( ~ class_Lattices_Olattice(T_a) % 0.76/0.83 | c_lessequals(V_x,c_Lattices_Oupper__semilattice__class_Osup(V_x,V_y,T_a),T_a) ) ). % 0.76/0.83 % 0.76/0.83 cnf(cls_Compl__partition2_0,axiom, % 0.76/0.83 c_Lattices_Oupper__semilattice__class_Osup(c_HOL_Ouminus__class_Ouminus(V_A,tc_fun(T_a,tc_bool)),V_A,tc_fun(T_a,tc_bool)) = c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_bool)) ). % 0.76/0.83 % 0.76/0.83 cnf(cls_Compl__partition_0,axiom, % 0.76/0.83 c_Lattices_Oupper__semilattice__class_Osup(V_A,c_HOL_Ouminus__class_Ouminus(V_A,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)) = c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_bool)) ). % 0.76/0.83 % 0.76/0.83 cnf(cls_compl__sup__top_0,axiom, % 0.76/0.83 ( ~ class_Lattices_Oboolean__algebra(T_a) % 0.76/0.83 | c_Lattices_Oupper__semilattice__class_Osup(c_HOL_Ouminus__class_Ouminus(V_x,T_a),V_x,T_a) = c_Orderings_Otop__class_Otop(T_a) ) ). % 0.76/0.83 % 0.76/0.83 cnf(cls_sup__compl__top_0,axiom, % 0.76/0.83 ( ~ class_Lattices_Oboolean__algebra(T_a) % 0.76/0.83 | c_Lattices_Oupper__semilattice__class_Osup(V_x,c_HOL_Ouminus__class_Ouminus(V_x,T_a),T_a) = c_Orderings_Otop__class_Otop(T_a) ) ). % 0.76/0.83 % 0.76/0.83 cnf(cls_keysFor__insert__Agent_0,axiom, % 0.76/0.83 c_Message_OkeysFor(c_Set_Oinsert(c_Message_Omsg_OAgent(V_A),V_H,tc_Message_Omsg)) = c_Message_OkeysFor(V_H) ). % 0.76/0.83 % 0.76/0.83 cnf(cls_insert__subset_0,axiom, % 0.76/0.83 ( c_in(V_x,V_B,T_a) % 0.76/0.83 | ~ c_lessequals(c_Set_Oinsert(V_x,V_A,T_a),V_B,tc_fun(T_a,tc_bool)) ) ). % 0.76/0.83 % 0.76/0.83 cnf(cls_subset__insert__iff_2,axiom, % 0.76/0.83 ( c_lessequals(V_A,c_Set_Oinsert(V_x,V_B,T_a),tc_fun(T_a,tc_bool)) % 0.76/0.83 | ~ c_lessequals(V_A,V_B,tc_fun(T_a,tc_bool)) % 0.76/0.83 | c_in(V_x,V_A,T_a) ) ). % 0.76/0.83 % 0.76/0.83 cnf(cls_subset__insert__iff_1,axiom, % 0.76/0.83 ( c_lessequals(V_A,V_B,tc_fun(T_a,tc_bool)) % 0.76/0.83 | c_in(V_x,V_A,T_a) % 0.76/0.83 | ~ c_lessequals(V_A,c_Set_Oinsert(V_x,V_B,T_a),tc_fun(T_a,tc_bool)) ) ). % 0.76/0.83 % 0.76/0.83 cnf(cls_subset__insert_1,axiom, % 0.76/0.83 ( c_lessequals(V_A,c_Set_Oinsert(V_x,V_B,T_a),tc_fun(T_a,tc_bool)) % 0.76/0.83 | ~ c_lessequals(V_A,V_B,tc_fun(T_a,tc_bool)) % 0.76/0.83 | c_in(V_x,V_A,T_a) ) ). % 0.76/0.83 % 0.76/0.83 cnf(cls_subset__insert_0,axiom, % 0.76/0.83 ( c_lessequals(V_A,V_B,tc_fun(T_a,tc_bool)) % 0.76/0.83 | ~ c_lessequals(V_A,c_Set_Oinsert(V_x,V_B,T_a),tc_fun(T_a,tc_bool)) % 0.76/0.83 | c_in(V_x,V_A,T_a) ) ). % 0.76/0.83 % 0.76/0.83 cnf(cls_Un__commute_0,axiom, % 0.76/0.83 c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_a,tc_bool)) = c_Lattices_Oupper__semilattice__class_Osup(V_B,V_A,tc_fun(T_a,tc_bool)) ). % 0.76/0.83 % 0.76/0.83 cnf(cls_sup__commute_0,axiom, % 0.76/0.83 ( ~ class_Lattices_Oupper__semilattice(T_a) % 0.76/0.83 | c_Lattices_Oupper__semilattice__class_Osup(V_x,V_y,T_a) = c_Lattices_Oupper__semilattice__class_Osup(V_y,V_x,T_a) ) ). % 0.76/0.83 % 0.76/0.83 cnf(cls_inf__sup__aci_I5_J_0,axiom, % 0.76/0.83 ( ~ class_Lattices_Olattice(T_a) % 0.76/0.83 | c_Lattices_Oupper__semilattice__class_Osup(V_x,V_y,T_a) = c_Lattices_Oupper__semilattice__class_Osup(V_y,V_x,T_a) ) ). % 0.76/0.83 % 0.76/0.83 cnf(cls_Un__left__absorb_0,axiom, % 0.76/0.83 c_Lattices_Oupper__semilattice__class_Osup(V_A,c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)) = c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_a,tc_bool)) ). % 0.76/0.83 % 0.76/0.83 cnf(cls_sup__left__idem_0,axiom, % 0.76/0.83 ( ~ class_Lattices_Oupper__semilattice(T_a) % 0.76/0.83 | c_Lattices_Oupper__semilattice__class_Osup(V_x,c_Lattices_Oupper__semilattice__class_Osup(V_x,V_y,T_a),T_a) = c_Lattices_Oupper__semilattice__class_Osup(V_x,V_y,T_a) ) ). % 0.76/0.83 % 0.76/0.83 cnf(cls_inf__sup__aci_I8_J_0,axiom, % 0.76/0.83 ( ~ class_Lattices_Olattice(T_a) % 0.76/0.83 | c_Lattices_Oupper__semilattice__class_Osup(V_x,c_Lattices_Oupper__semilattice__class_Osup(V_x,V_y,T_a),T_a) = c_Lattices_Oupper__semilattice__class_Osup(V_x,V_y,T_a) ) ). % 0.76/0.83 % 0.76/0.83 cnf(cls_analz__insert__Hash_0,axiom, % 0.76/0.83 c_Message_Oanalz(c_Set_Oinsert(c_Message_Omsg_OHash(V_X),V_H,tc_Message_Omsg)) = c_Set_Oinsert(c_Message_Omsg_OHash(V_X),c_Message_Oanalz(V_H),tc_Message_Omsg) ). % 0.76/0.83 % 0.76/0.83 cnf(cls_keysFor__mono_0,axiom, % 0.76/0.83 ( c_lessequals(c_Message_OkeysFor(V_G),c_Message_OkeysFor(V_H),tc_fun(tc_nat,tc_bool)) % 0.76/0.83 | ~ c_lessequals(V_G,V_H,tc_fun(tc_Message_Omsg,tc_bool)) ) ). % 0.76/0.83 % 0.76/0.83 cnf(cls_keysFor__insert__MPair_0,axiom, % 0.76/0.83 c_Message_OkeysFor(c_Set_Oinsert(c_Message_Omsg_OMPair(V_X,V_Y),V_H,tc_Message_Omsg)) = c_Message_OkeysFor(V_H) ). % 0.76/0.83 % 0.76/0.83 cnf(cls_double__complement_0,axiom, % 0.76/0.83 c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(V_A,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)) = V_A ). % 0.76/0.83 % 0.76/0.83 cnf(cls_minus__minus_0,axiom, % 0.76/0.83 ( ~ class_OrderedGroup_Ogroup__add(T_a) % 0.76/0.83 | c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(V_a,T_a),T_a) = V_a ) ). % 0.76/0.83 % 0.76/0.83 cnf(cls_double__compl_0,axiom, % 0.76/0.83 ( ~ class_Lattices_Oboolean__algebra(T_a) % 0.76/0.83 | c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(V_x,T_a),T_a) = V_x ) ). % 0.76/0.83 % 0.76/0.83 cnf(cls_equation__minus__iff_0,axiom, % 0.76/0.83 ( ~ class_OrderedGroup_Ogroup__add(T_a) % 0.76/0.83 | V_b = c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(V_b,T_a),T_a) ) ). % 0.76/0.83 % 0.76/0.83 cnf(cls_equation__minus__iff_1,axiom, % 0.76/0.83 ( ~ class_OrderedGroup_Ogroup__add(T_a) % 0.76/0.83 | V_a = c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(V_a,T_a),T_a) ) ). % 0.76/0.83 % 0.76/0.83 cnf(cls_minus__equation__iff_1,axiom, % 0.76/0.83 ( ~ class_OrderedGroup_Ogroup__add(T_a) % 0.76/0.83 | c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(V_b,T_a),T_a) = V_b ) ). % 0.76/0.83 % 0.76/0.83 cnf(cls_le__funD_0,axiom, % 0.76/0.83 ( ~ class_HOL_Oord(T_b) % 0.76/0.83 | c_lessequals(hAPP(V_f,V_x),hAPP(V_g,V_x),T_b) % 0.76/0.83 | ~ c_lessequals(V_f,V_g,tc_fun(T_a,T_b)) ) ). % 0.76/0.83 % 0.76/0.83 cnf(cls_le__minus__iff_0,axiom, % 0.76/0.83 ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a) % 0.76/0.83 | c_lessequals(V_b,c_HOL_Ouminus__class_Ouminus(V_a,T_a),T_a) % 0.76/0.83 | ~ c_lessequals(V_a,c_HOL_Ouminus__class_Ouminus(V_b,T_a),T_a) ) ). % 0.76/0.83 % 0.76/0.83 cnf(cls_le__minus__iff_1,axiom, % 0.76/0.83 ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a) % 0.76/0.83 | c_lessequals(V_a,c_HOL_Ouminus__class_Ouminus(V_b,T_a),T_a) % 0.76/0.83 | ~ c_lessequals(V_b,c_HOL_Ouminus__class_Ouminus(V_a,T_a),T_a) ) ). % 0.76/0.83 % 0.76/0.83 cnf(cls_minus__le__iff_0,axiom, % 0.76/0.83 ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a) % 0.76/0.83 | c_lessequals(c_HOL_Ouminus__class_Ouminus(V_b,T_a),V_a,T_a) % 0.76/0.83 | ~ c_lessequals(c_HOL_Ouminus__class_Ouminus(V_a,T_a),V_b,T_a) ) ). % 0.76/0.83 % 0.76/0.83 cnf(cls_minus__le__iff_1,axiom, % 0.76/0.83 ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a) % 0.76/0.83 | c_lessequals(c_HOL_Ouminus__class_Ouminus(V_a,T_a),V_b,T_a) % 0.76/0.83 | ~ c_lessequals(c_HOL_Ouminus__class_Ouminus(V_b,T_a),V_a,T_a) ) ). % 0.76/0.83 % 0.76/0.83 cnf(cls_subset__iff_0,axiom, % 0.76/0.83 ( c_in(V_t,V_B,T_a) % 0.76/0.83 | ~ c_in(V_t,V_A,T_a) % 0.76/0.83 | ~ c_lessequals(V_A,V_B,tc_fun(T_a,tc_bool)) ) ). % 0.76/0.83 % 0.76/0.83 cnf(cls_set__rev__mp_0,axiom, % 0.76/0.83 ( c_in(V_x,V_B,T_a) % 0.76/0.83 | ~ c_lessequals(V_A,V_B,tc_fun(T_a,tc_bool)) % 0.76/0.83 | ~ c_in(V_x,V_A,T_a) ) ). % 0.76/0.83 % 0.76/0.83 cnf(cls_subsetD_0,axiom, % 0.76/0.83 ( c_in(V_c,V_B,T_a) % 0.76/0.83 | ~ c_in(V_c,V_A,T_a) % 0.76/0.83 | ~ c_lessequals(V_A,V_B,tc_fun(T_a,tc_bool)) ) ). % 0.76/0.83 % 0.76/0.83 cnf(cls_set__mp_0,axiom, % 0.76/0.83 ( c_in(V_x,V_B,T_a) % 0.76/0.83 | ~ c_in(V_x,V_A,T_a) % 0.76/0.83 | ~ c_lessequals(V_A,V_B,tc_fun(T_a,tc_bool)) ) ). % 0.76/0.83 % 0.76/0.83 cnf(cls_UnCI_1,axiom, % 0.76/0.83 ( c_in(V_c,c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_a,tc_bool)),T_a) % 0.76/0.83 | ~ c_in(V_c,V_A,T_a) ) ). % 0.76/0.83 % 0.76/0.83 cnf(cls_UnCI_0,axiom, % 0.76/0.83 ( c_in(V_c,c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_a,tc_bool)),T_a) % 0.76/0.83 | ~ c_in(V_c,V_B,T_a) ) ). % 0.76/0.83 % 0.76/0.83 cnf(cls_UnE_0,axiom, % 0.76/0.83 ( c_in(V_c,V_B,T_a) % 0.76/0.83 | c_in(V_c,V_A,T_a) % 0.76/0.83 | ~ c_in(V_c,c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_a,tc_bool)),T_a) ) ). % 0.76/0.83 % 0.76/0.83 cnf(cls_ComplI_0,axiom, % 0.76/0.83 ( c_in(V_c,c_HOL_Ouminus__class_Ouminus(V_A,tc_fun(T_a,tc_bool)),T_a) % 0.76/0.83 | c_in(V_c,V_A,T_a) ) ). % 0.76/0.83 % 0.76/0.83 cnf(cls_ComplD_0,axiom, % 0.76/0.83 ( ~ c_in(V_c,V_A,T_a) % 0.76/0.83 | ~ c_in(V_c,c_HOL_Ouminus__class_Ouminus(V_A,tc_fun(T_a,tc_bool)),T_a) ) ). % 0.76/0.83 % 0.76/0.83 cnf(cls_msg_Osimps_I45_J_0,axiom, % 0.76/0.83 c_Message_Omsg_OMPair(V_msg1_H,V_msg2_H) != c_Message_Omsg_OHash(V_msg) ). % 0.76/0.83 % 0.76/0.83 cnf(cls_msg_Osimps_I44_J_0,axiom, % 0.76/0.83 c_Message_Omsg_OHash(V_msg) != c_Message_Omsg_OMPair(V_msg1_H,V_msg2_H) ). % 0.76/0.83 % 0.76/0.83 cnf(cls_parts__Un_0,axiom, % 0.76/0.83 c_Message_Oparts(c_Lattices_Oupper__semilattice__class_Osup(V_G,V_H,tc_fun(tc_Message_Omsg,tc_bool))) = c_Lattices_Oupper__semilattice__class_Osup(c_Message_Oparts(V_G),c_Message_Oparts(V_H),tc_fun(tc_Message_Omsg,tc_bool)) ). % 0.76/0.83 % 0.76/0.83 cnf(cls_parts__increasing_0,axiom, % 0.76/0.83 c_lessequals(V_H,c_Message_Oparts(V_H),tc_fun(tc_Message_Omsg,tc_bool)) ). % 0.76/0.83 % 0.76/0.83 cnf(cls_parts__mono_0,axiom, % 0.76/0.83 ( c_lessequals(c_Message_Oparts(V_G),c_Message_Oparts(V_H),tc_fun(tc_Message_Omsg,tc_bool)) % 0.76/0.83 | ~ c_lessequals(V_G,V_H,tc_fun(tc_Message_Omsg,tc_bool)) ) ). % 0.76/0.83 % 0.76/0.83 cnf(cls_parts__subset__iff_1,axiom, % 0.76/0.83 ( c_lessequals(c_Message_Oparts(V_G),c_Message_Oparts(V_H),tc_fun(tc_Message_Omsg,tc_bool)) % 0.76/0.83 | ~ c_lessequals(V_G,c_Message_Oparts(V_H),tc_fun(tc_Message_Omsg,tc_bool)) ) ). % 0.76/0.83 % 0.76/0.83 cnf(cls_parts__subset__iff_0,axiom, % 0.76/0.83 ( c_lessequals(V_G,c_Message_Oparts(V_H),tc_fun(tc_Message_Omsg,tc_bool)) % 0.76/0.83 | ~ c_lessequals(c_Message_Oparts(V_G),c_Message_Oparts(V_H),tc_fun(tc_Message_Omsg,tc_bool)) ) ). % 0.76/0.83 % 0.76/0.83 cnf(cls_msg_Osimps_I46_J_0,axiom, % 0.76/0.83 c_Message_Omsg_OHash(V_msg) != c_Message_Omsg_OCrypt(V_nat_H,V_msg_H) ). % 0.76/0.83 % 0.76/0.83 cnf(cls_msg_Osimps_I47_J_0,axiom, % 0.76/0.83 c_Message_Omsg_OCrypt(V_nat_H,V_msg_H) != c_Message_Omsg_OHash(V_msg) ). % 0.76/0.83 % 0.76/0.83 cnf(cls_msg_Osimps_I39_J_0,axiom, % 0.76/0.83 c_Message_Omsg_OHash(V_msg_H) != hAPP(c_Message_Omsg_OKey,V_nat) ). % 0.76/0.83 % 0.76/0.83 cnf(cls_msg_Osimps_I38_J_0,axiom, % 0.76/0.83 hAPP(c_Message_Omsg_OKey,V_nat) != c_Message_Omsg_OHash(V_msg_H) ). % 0.76/0.83 % 0.76/0.83 cnf(cls_analz__mono_0,axiom, % 0.76/0.83 ( c_lessequals(c_Message_Oanalz(V_G),c_Message_Oanalz(V_H),tc_fun(tc_Message_Omsg,tc_bool)) % 0.76/0.83 | ~ c_lessequals(V_G,V_H,tc_fun(tc_Message_Omsg,tc_bool)) ) ). % 0.76/0.83 % 0.76/0.83 cnf(cls_analz__subset__iff_1,axiom, % 0.76/0.83 ( c_lessequals(c_Message_Oanalz(V_G),c_Message_Oanalz(V_H),tc_fun(tc_Message_Omsg,tc_bool)) % 0.76/0.83 | ~ c_lessequals(V_G,c_Message_Oanalz(V_H),tc_fun(tc_Message_Omsg,tc_bool)) ) ). % 0.76/0.83 % 0.76/0.83 cnf(cls_analz__subset__iff_0,axiom, % 0.76/0.83 ( c_lessequals(V_G,c_Message_Oanalz(V_H),tc_fun(tc_Message_Omsg,tc_bool)) % 0.76/0.83 | ~ c_lessequals(c_Message_Oanalz(V_G),c_Message_Oanalz(V_H),tc_fun(tc_Message_Omsg,tc_bool)) ) ). % 0.76/0.83 % 0.76/0.83 cnf(cls_analz__increasing_0,axiom, % 0.76/0.83 c_lessequals(V_H,c_Message_Oanalz(V_H),tc_fun(tc_Message_Omsg,tc_bool)) ). % 0.76/0.83 % 0.76/0.83 cnf(cls_analz__analz__Un_0,axiom, % 0.76/0.83 c_Message_Oanalz(c_Lattices_Oupper__semilattice__class_Osup(c_Message_Oanalz(V_G),V_H,tc_fun(tc_Message_Omsg,tc_bool))) = c_Message_Oanalz(c_Lattices_Oupper__semilattice__class_Osup(V_G,V_H,tc_fun(tc_Message_Omsg,tc_bool))) ). % 0.76/0.83 % 0.76/0.83 cnf(cls_analz__cong_0,axiom, % 0.76/0.83 ( c_Message_Oanalz(V_H) != c_Message_Oanalz(V_H_H) % 0.76/0.83 | c_Message_Oanalz(V_G) != c_Message_Oanalz(V_G_H) % 0.76/0.83 | c_Message_Oanalz(c_Lattices_Oupper__semilattice__class_Osup(V_G,V_H,tc_fun(tc_Message_Omsg,tc_bool))) = c_Message_Oanalz(c_Lattices_Oupper__semilattice__class_Osup(V_G_H,V_H_H,tc_fun(tc_Message_Omsg,tc_bool))) ) ). % 0.76/0.83 % 0.76/0.83 cnf(cls_msg_Osimps_I15_J_0,axiom, % 0.76/0.83 c_Message_Omsg_OHash(V_msg_H) != c_Message_Omsg_OAgent(V_agent) ). % 0.76/0.83 % 0.76/0.83 cnf(cls_msg_Osimps_I14_J_0,axiom, % 0.76/0.83 c_Message_Omsg_OAgent(V_agent) != c_Message_Omsg_OHash(V_msg_H) ). % 0.76/0.83 % 0.76/0.83 cnf(cls_msg_Osimps_I32_J_0,axiom, % 0.76/0.83 c_Message_Omsg_ONonce(V_nat) != c_Message_Omsg_OHash(V_msg_H) ). % 0.76/0.83 % 0.76/0.83 cnf(cls_msg_Osimps_I33_J_0,axiom, % 0.76/0.83 c_Message_Omsg_OHash(V_msg_H) != c_Message_Omsg_ONonce(V_nat) ). % 0.76/0.83 % 0.76/0.83 cnf(cls_used__nil__subset_0,axiom, % 0.76/0.83 c_lessequals(c_Event_Oused(c_List_Olist_ONil(tc_Event_Oevent)),c_Event_Oused(V_evs),tc_fun(tc_Message_Omsg,tc_bool)) ). % 0.76/0.83 % 0.76/0.83 cnf(cls_Fake__parts__insert_0,axiom, % 0.76/0.83 ( c_lessequals(c_Message_Oparts(c_Set_Oinsert(V_X,V_H,tc_Message_Omsg)),c_Lattices_Oupper__semilattice__class_Osup(c_Message_Osynth(c_Message_Oanalz(V_H)),c_Message_Oparts(V_H),tc_fun(tc_Message_Omsg,tc_bool)),tc_fun(tc_Message_Omsg,tc_bool)) % 0.76/0.83 | ~ c_in(V_X,c_Message_Osynth(c_Message_Oanalz(V_H)),tc_Message_Omsg) ) ). % 0.76/0.83 % 0.76/0.83 cnf(cls_parts__cut_0,axiom, % 0.76/0.83 ( c_in(V_Y,c_Message_Oparts(c_Lattices_Oupper__semilattice__class_Osup(V_G,V_H,tc_fun(tc_Message_Omsg,tc_bool))),tc_Message_Omsg) % 0.76/0.83 | ~ c_in(V_X,c_Message_Oparts(V_H),tc_Message_Omsg) % 0.76/0.83 | ~ c_in(V_Y,c_Message_Oparts(c_Set_Oinsert(V_X,V_G,tc_Message_Omsg)),tc_Message_Omsg) ) ). % 0.76/0.83 % 0.76/0.83 cnf(cls_gen__analz__insert__eq_0,axiom, % 0.76/0.83 ( c_Message_Oanalz(c_Set_Oinsert(V_X,V_G,tc_Message_Omsg)) = c_Message_Oanalz(V_G) % 0.76/0.83 | ~ c_lessequals(V_H,V_G,tc_fun(tc_Message_Omsg,tc_bool)) % 0.76/0.83 | ~ c_in(V_X,c_Message_Oanalz(V_H),tc_Message_Omsg) ) ). % 0.76/0.83 % 0.76/0.83 cnf(cls_analz__insert__Crypt__subset_0,axiom, % 0.76/0.83 c_lessequals(c_Message_Oanalz(c_Set_Oinsert(c_Message_Omsg_OCrypt(V_K,V_X),V_H,tc_Message_Omsg)),c_Set_Oinsert(c_Message_Omsg_OCrypt(V_K,V_X),c_Message_Oanalz(c_Set_Oinsert(V_X,V_H,tc_Message_Omsg)),tc_Message_Omsg),tc_fun(tc_Message_Omsg,tc_bool)) ). % 0.76/0.83 % 0.76/0.83 cnf(cls_Hash__notin__image__Key_0,axiom, % 0.76/0.83 ~ c_in(c_Message_Omsg_OHash(V_X),c_Set_Oimage(c_Message_Omsg_OKey,V_A,tc_nat,tc_Message_Omsg),tc_Message_Omsg) ). % 0.76/0.83 % 0.76/0.83 cnf(cls_knows__subset__knows__Says_0,axiom, % 0.76/0.83 c_lessequals(c_Event_Oknows(V_A,V_evs),c_Event_Oknows(V_A,c_List_Olist_OCons(c_Event_Oevent_OSays(V_A_H,V_B,V_X),V_evs,tc_Event_Oevent)),tc_fun(tc_Message_Omsg,tc_bool)) ). % 0.76/0.83 % 0.76/0.83 cnf(cls_priEK__noteq__shrK_0,axiom, % 0.76/0.83 hAPP(c_Message_OinvKey,hAPP(c_Public_OpublicKey(c_Public_Okeymode_OEncryption),V_A)) != hAPP(c_Public_OshrK,V_B) ). % 0.76/0.83 % 0.76/0.83 cnf(cls_knows__subset__knows__Notes_0,axiom, % 0.76/0.83 c_lessequals(c_Event_Oknows(V_A,V_evs),c_Event_Oknows(V_A,c_List_Olist_OCons(c_Event_Oevent_ONotes(V_A_H,V_X),V_evs,tc_Event_Oevent)),tc_fun(tc_Message_Omsg,tc_bool)) ). % 0.76/0.83 % 0.76/0.83 cnf(cls_knows__subset__knows__Gets_0,axiom, % 0.76/0.83 c_lessequals(c_Event_Oknows(V_A,V_evs),c_Event_Oknows(V_A,c_List_Olist_OCons(c_Event_Oevent_OGets(V_A_H,V_X),V_evs,tc_Event_Oevent)),tc_fun(tc_Message_Omsg,tc_bool)) ). % 0.76/0.83 % 0.76/0.83 cnf(cls_Says__Server__message__form_0,axiom, % 0.76/0.83 ( ~ c_in(V_K,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) % 0.76/0.83 | ~ c_in(V_evs,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent)) % 0.76/0.83 | ~ c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,V_A,c_Message_Omsg_OCrypt(V_K_H,c_Message_Omsg_OMPair(V_N,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(V_B),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,V_K),V_X))))),c_List_Oset(V_evs,tc_Event_Oevent),tc_Event_Oevent) ) ). % 0.76/0.83 % 0.76/0.83 cnf(cls_spies__Notes__rev_0,axiom, % 0.76/0.83 ( c_Event_Oknows(c_Message_Oagent_OSpy,c_List_Oappend(V_evs,c_List_Olist_OCons(c_Event_Oevent_ONotes(V_A,V_X),c_List_Olist_ONil(tc_Event_Oevent),tc_Event_Oevent),tc_Event_Oevent)) = c_Set_Oinsert(V_X,c_Event_Oknows(c_Message_Oagent_OSpy,V_evs),tc_Message_Omsg) % 0.76/0.83 | ~ c_in(V_A,c_Event_Obad,tc_Message_Oagent) ) ). % 0.76/0.83 % 0.76/0.83 cnf(cls_knows__Spy__Says_0,axiom, % 0.76/0.83 c_Event_Oknows(c_Message_Oagent_OSpy,c_List_Olist_OCons(c_Event_Oevent_OSays(V_A,V_B,V_X),V_evs,tc_Event_Oevent)) = c_Set_Oinsert(V_X,c_Event_Oknows(c_Message_Oagent_OSpy,V_evs),tc_Message_Omsg) ). % 0.76/0.83 % 0.76/0.83 cnf(cls_knows__Gets_0,axiom, % 0.76/0.83 ( c_Event_Oknows(V_A,c_List_Olist_OCons(c_Event_Oevent_OGets(V_A,V_X),V_evs,tc_Event_Oevent)) = c_Set_Oinsert(V_X,c_Event_Oknows(V_A,V_evs),tc_Message_Omsg) % 0.76/0.83 | V_A = c_Message_Oagent_OSpy ) ). % 0.76/0.83 % 0.76/0.83 cnf(cls_cert__A__form_0,axiom, % 0.76/0.83 ( ~ c_in(V_K,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) % 0.76/0.83 | ~ c_in(V_evs,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent)) % 0.76/0.83 | c_in(V_A,c_Event_Obad,tc_Message_Oagent) % 0.76/0.83 | ~ c_in(c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,V_A),c_Message_Omsg_OMPair(V_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(V_B),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,V_K),V_X)))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,V_evs)),tc_Message_Omsg) ) ). % 0.76/0.83 % 0.76/0.83 cnf(cls_new__keys__not__used_0,axiom, % 0.76/0.83 ( ~ c_in(V_K,c_Message_OkeysFor(c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,V_evs))),tc_nat) % 0.76/0.83 | ~ c_in(V_evs,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent)) % 0.76/0.83 | ~ c_in(V_K,c_Message_OsymKeys,tc_nat) % 0.76/0.83 | c_in(hAPP(c_Message_Omsg_OKey,V_K),c_Event_Oused(V_evs),tc_Message_Omsg) ) ). % 0.76/0.83 % 0.76/0.83 cnf(cls_lemma2_0,axiom, % 0.76/0.83 ( c_lessequals(c_Set_Oinsert(c_Message_Omsg_OCrypt(V_K,V_X),c_Message_Oanalz(c_Set_Oinsert(V_X,V_H,tc_Message_Omsg)),tc_Message_Omsg),c_Message_Oanalz(c_Set_Oinsert(c_Message_Omsg_OCrypt(V_K,V_X),V_H,tc_Message_Omsg)),tc_fun(tc_Message_Omsg,tc_bool)) % 0.76/0.83 | ~ c_in(hAPP(c_Message_Omsg_OKey,hAPP(c_Message_OinvKey,V_K)),c_Message_Oanalz(V_H),tc_Message_Omsg) ) ). % 0.76/0.83 % 0.76/0.83 cnf(cls_lemma1_0,axiom, % 0.76/0.83 ( c_lessequals(c_Message_Oanalz(c_Set_Oinsert(c_Message_Omsg_OCrypt(V_K,V_X),V_H,tc_Message_Omsg)),c_Set_Oinsert(c_Message_Omsg_OCrypt(V_K,V_X),c_Message_Oanalz(c_Set_Oinsert(V_X,V_H,tc_Message_Omsg)),tc_Message_Omsg),tc_fun(tc_Message_Omsg,tc_bool)) % 0.76/0.83 | ~ c_in(hAPP(c_Message_Omsg_OKey,hAPP(c_Message_OinvKey,V_K)),c_Message_Oanalz(V_H),tc_Message_Omsg) ) ). % 0.76/0.83 % 0.76/0.83 cnf(cls_privateKey__image__eq_1,axiom, % 0.76/0.83 ( c_in(V_A,V_AS,tc_Message_Oagent) % 0.76/0.83 | ~ c_in(hAPP(c_Message_OinvKey,hAPP(c_Public_OpublicKey(V_b),V_A)),c_Set_Oimage(c_Message_OinvKey,c_Set_Oimage(c_Public_OpublicKey(V_c),V_AS,tc_Message_Oagent,tc_nat),tc_nat,tc_nat),tc_nat) ) ). % 0.76/0.83 % 0.76/0.83 cnf(cls_privateKey__image__eq_2,axiom, % 0.76/0.83 ( c_in(hAPP(c_Message_OinvKey,hAPP(c_Public_OpublicKey(V_x),V_A)),c_Set_Oimage(c_Message_OinvKey,c_Set_Oimage(c_Public_OpublicKey(V_x),V_AS,tc_Message_Oagent,tc_nat),tc_nat,tc_nat),tc_nat) % 0.76/0.83 | ~ c_in(V_A,V_AS,tc_Message_Oagent) ) ). % 0.76/0.83 % 0.76/0.83 cnf(cls_shrK__notin__image__privateKey_0,axiom, % 0.76/0.83 ~ c_in(hAPP(c_Public_OshrK,V_x),c_Set_Oimage(c_Message_OinvKey,c_Set_Oimage(c_Public_OpublicKey(V_b),V_AA,tc_Message_Oagent,tc_nat),tc_nat,tc_nat),tc_nat) ). % 0.76/0.83 % 0.76/0.83 cnf(cls_analz__image__freshK__lemma_3,axiom, % 0.76/0.83 ( c_in(hAPP(c_Message_Omsg_OKey,V_K),c_Message_Oanalz(c_Lattices_Oupper__semilattice__class_Osup(c_Set_Oimage(c_Message_Omsg_OKey,V_nE,tc_nat,tc_Message_Omsg),V_H,tc_fun(tc_Message_Omsg,tc_bool))),tc_Message_Omsg) % 0.76/0.83 | ~ c_in(hAPP(c_Message_Omsg_OKey,V_K),c_Message_Oanalz(V_H),tc_Message_Omsg) % 0.76/0.83 | ~ c_in(V_K,V_nE,tc_nat) ) ). % 0.76/0.83 % 0.76/0.83 cnf(cls_analz__image__freshK__lemma_4,axiom, % 0.76/0.83 ( c_in(hAPP(c_Message_Omsg_OKey,V_K),c_Message_Oanalz(c_Lattices_Oupper__semilattice__class_Osup(c_Set_Oimage(c_Message_Omsg_OKey,V_nE,tc_nat,tc_Message_Omsg),V_H,tc_fun(tc_Message_Omsg,tc_bool))),tc_Message_Omsg) % 0.76/0.83 | ~ c_in(V_K,V_nE,tc_nat) % 0.76/0.83 | ~ c_in(hAPP(c_Message_Omsg_OKey,V_K),c_Message_Oanalz(V_H),tc_Message_Omsg) ) ). % 0.76/0.83 % 0.76/0.83 cnf(cls_analz__image__freshK__lemma_0,axiom, % 0.76/0.83 ( c_in(hAPP(c_Message_Omsg_OKey,V_K),c_Message_Oanalz(c_Lattices_Oupper__semilattice__class_Osup(c_Set_Oimage(c_Message_Omsg_OKey,V_nE,tc_nat,tc_Message_Omsg),V_H,tc_fun(tc_Message_Omsg,tc_bool))),tc_Message_Omsg) % 0.76/0.83 | ~ c_in(V_K,V_nE,tc_nat) % 0.76/0.83 | c_in(hAPP(c_Message_Omsg_OKey,V_K),c_Message_Oanalz(c_Lattices_Oupper__semilattice__class_Osup(c_Set_Oimage(c_Message_Omsg_OKey,V_nE,tc_nat,tc_Message_Omsg),V_H,tc_fun(tc_Message_Omsg,tc_bool))),tc_Message_Omsg) ) ). % 0.76/0.83 % 0.76/0.83 cnf(cls_analz__image__freshK__lemma_2,axiom, % 0.76/0.83 ( c_in(hAPP(c_Message_Omsg_OKey,V_K),c_Message_Oanalz(c_Lattices_Oupper__semilattice__class_Osup(c_Set_Oimage(c_Message_Omsg_OKey,V_nE,tc_nat,tc_Message_Omsg),V_H,tc_fun(tc_Message_Omsg,tc_bool))),tc_Message_Omsg) % 0.76/0.83 | ~ c_in(V_K,V_nE,tc_nat) % 0.76/0.83 | ~ c_in(V_K,V_nE,tc_nat) ) ). % 0.76/0.83 % 0.76/0.83 cnf(cls_synth__analz__insert__eq_0,axiom, % 0.76/0.83 ( c_in(hAPP(c_Message_Omsg_OKey,V_K),c_Message_Oanalz(V_G),tc_Message_Omsg) % 0.76/0.83 | ~ c_in(hAPP(c_Message_Omsg_OKey,V_K),c_Message_Oanalz(c_Set_Oinsert(V_X,V_G,tc_Message_Omsg)),tc_Message_Omsg) % 0.76/0.83 | ~ c_lessequals(V_H,V_G,tc_fun(tc_Message_Omsg,tc_bool)) % 0.76/0.83 | ~ c_in(V_X,c_Message_Osynth(c_Message_Oanalz(V_H)),tc_Message_Omsg) ) ). % 0.76/0.83 % 0.76/0.83 cnf(cls_synth__analz__insert__eq_1,axiom, % 0.76/0.83 ( c_in(hAPP(c_Message_Omsg_OKey,V_K),c_Message_Oanalz(c_Set_Oinsert(V_X,V_G,tc_Message_Omsg)),tc_Message_Omsg) % 0.76/0.83 | ~ c_in(hAPP(c_Message_Omsg_OKey,V_K),c_Message_Oanalz(V_G),tc_Message_Omsg) % 0.76/0.83 | ~ c_lessequals(V_H,V_G,tc_fun(tc_Message_Omsg,tc_bool)) % 0.76/0.83 | ~ c_in(V_X,c_Message_Osynth(c_Message_Oanalz(V_H)),tc_Message_Omsg) ) ). % 0.76/0.83 % 0.76/0.83 cnf(cls_Fake__parts__insert__in__Un_0,axiom, % 0.76/0.83 ( c_in(V_Z,c_Lattices_Oupper__semilattice__class_Osup(c_Message_Osynth(c_Message_Oanalz(V_H)),c_Message_Oparts(V_H),tc_fun(tc_Message_Omsg,tc_bool)),tc_Message_Omsg) % 0.76/0.83 | ~ c_in(V_X,c_Message_Osynth(c_Message_Oanalz(V_H)),tc_Message_Omsg) % 0.76/0.83 | ~ c_in(V_Z,c_Message_Oparts(c_Set_Oinsert(V_X,V_H,tc_Message_Omsg)),tc_Message_Omsg) ) ). % 0.76/0.83 % 0.76/0.83 cnf(cls_Issues__def_0,axiom, % 0.76/0.83 ( c_in(c_Event_Oevent_OSays(V_A,V_B,v_sko__NS__Shared__Mirabelle__XIssues__def__1(V_A,V_B,V_X,V_evs)),c_List_Oset(V_evs,tc_Event_Oevent),tc_Event_Oevent) % 0.76/0.83 | ~ c_NS__Shared__Mirabelle_OIssues(V_A,V_B,V_X,V_evs) ) ). % 0.76/0.83 % 0.76/0.83 cnf(cls_symKey__neq__priEK_0,axiom, % 0.76/0.83 ~ c_in(hAPP(c_Message_OinvKey,hAPP(c_Public_OpublicKey(c_Public_Okeymode_OEncryption),V_A)),c_Message_OsymKeys,tc_nat) ). % 0.76/0.83 % 0.76/0.83 cnf(cls_privateKey__image__eq_0,axiom, % 0.76/0.83 ( V_b = V_c % 0.76/0.83 | ~ c_in(hAPP(c_Message_OinvKey,hAPP(c_Public_OpublicKey(V_b),V_A)),c_Set_Oimage(c_Message_OinvKey,c_Set_Oimage(c_Public_OpublicKey(V_c),V_AS,tc_Message_Oagent,tc_nat),tc_nat,tc_nat),tc_nat) ) ). % 0.76/0.83 % 0.76/0.83 cnf(cls_publicKey__notin__image__privateKey_0,axiom, % 0.76/0.83 ~ c_in(hAPP(c_Public_OpublicKey(V_b),V_A),c_Set_Oimage(c_Message_OinvKey,c_Set_Oimage(c_Public_OpublicKey(V_c),V_AS,tc_Message_Oagent,tc_nat),tc_nat,tc_nat),tc_nat) ). % 0.76/0.83 % 0.76/0.83 cnf(cls_knows__Spy__subset__knows__Spy__Gets_0,axiom, % 0.76/0.83 c_lessequals(c_Event_Oknows(c_Message_Oagent_OSpy,V_evs),c_Event_Oknows(c_Message_Oagent_OSpy,c_List_Olist_OCons(c_Event_Oevent_OGets(V_A,V_X),V_evs,tc_Event_Oevent)),tc_fun(tc_Message_Omsg,tc_bool)) ). % 0.76/0.83 % 0.76/0.83 cnf(cls_knows__Spy__imp__Says__Notes__initState_0,axiom, % 0.76/0.83 ( c_in(V_X,c_Event_OinitState(c_Message_Oagent_OSpy),tc_Message_Omsg) % 0.76/0.83 | c_in(c_Event_Oevent_ONotes(c_Event_Osko__Event__Xknows__Spy__imp__Says__Notes__initState__1__1(V_X,V_evs),V_X),c_List_Oset(V_evs,tc_Event_Oevent),tc_Event_Oevent) % 0.76/0.83 | c_in(c_Event_Oevent_OSays(c_Event_Osko__Event__Xknows__Spy__imp__Says__Notes__initState__1__1(V_X,V_evs),c_Event_Osko__Event__Xknows__Spy__imp__Says__Notes__initState__1__2(V_X,V_evs),V_X),c_List_Oset(V_evs,tc_Event_Oevent),tc_Event_Oevent) % 0.76/0.83 | ~ c_in(V_X,c_Event_Oknows(c_Message_Oagent_OSpy,V_evs),tc_Message_Omsg) ) ). % 0.76/0.83 % 0.76/0.83 cnf(cls_knows__Spy__subset__knows__Spy__Notes_0,axiom, % 0.76/0.83 c_lessequals(c_Event_Oknows(c_Message_Oagent_OSpy,V_evs),c_Event_Oknows(c_Message_Oagent_OSpy,c_List_Olist_OCons(c_Event_Oevent_ONotes(V_A,V_X),V_evs,tc_Event_Oevent)),tc_fun(tc_Message_Omsg,tc_bool)) ). % 0.76/0.83 % 0.76/0.83 cnf(cls_analz__image__freshK_0,axiom, % 0.76/0.83 ( c_in(hAPP(c_Message_Omsg_OKey,V_K),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,V_evs)),tc_Message_Omsg) % 0.76/0.83 | c_in(V_K,V_KK,tc_nat) % 0.76/0.83 | ~ c_in(hAPP(c_Message_Omsg_OKey,V_K),c_Message_Oanalz(c_Lattices_Oupper__semilattice__class_Osup(c_Set_Oimage(c_Message_Omsg_OKey,V_KK,tc_nat,tc_Message_Omsg),c_Event_Oknows(c_Message_Oagent_OSpy,V_evs),tc_fun(tc_Message_Omsg,tc_bool))),tc_Message_Omsg) % 0.76/0.83 | ~ c_lessequals(V_KK,c_HOL_Ouminus__class_Ouminus(c_Set_Oimage(c_Public_OshrK,c_Orderings_Otop__class_Otop(tc_fun(tc_Message_Oagent,tc_bool)),tc_Message_Oagent,tc_nat),tc_fun(tc_nat,tc_bool)),tc_fun(tc_nat,tc_bool)) % 0.76/0.83 | ~ c_in(V_evs,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent)) ) ). % 0.76/0.83 % 0.76/0.83 cnf(cls_analz__image__freshK_1,axiom, % 0.76/0.83 ( c_in(hAPP(c_Message_Omsg_OKey,V_K),c_Message_Oanalz(c_Lattices_Oupper__semilattice__class_Osup(c_Set_Oimage(c_Message_Omsg_OKey,V_KK,tc_nat,tc_Message_Omsg),c_Event_Oknows(c_Message_Oagent_OSpy,V_evs),tc_fun(tc_Message_Omsg,tc_bool))),tc_Message_Omsg) % 0.76/0.83 | ~ c_in(V_K,V_KK,tc_nat) % 0.76/0.83 | ~ c_lessequals(V_KK,c_HOL_Ouminus__class_Ouminus(c_Set_Oimage(c_Public_OshrK,c_Orderings_Otop__class_Otop(tc_fun(tc_Message_Oagent,tc_bool)),tc_Message_Oagent,tc_nat),tc_fun(tc_nat,tc_bool)),tc_fun(tc_nat,tc_bool)) % 0.76/0.83 | ~ c_in(V_evs,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent)) ) ). % 0.76/0.83 % 0.76/0.83 cnf(cls_knows__Spy__subset__knows__Spy__Says_0,axiom, % 0.76/0.83 c_lessequals(c_Event_Oknows(c_Message_Oagent_OSpy,V_evs),c_Event_Oknows(c_Message_Oagent_OSpy,c_List_Olist_OCons(c_Event_Oevent_OSays(V_A,V_B,V_X),V_evs,tc_Event_Oevent)),tc_fun(tc_Message_Omsg,tc_bool)) ). % 0.76/0.83 % 0.76/0.83 cnf(cls_Crypt__imp__keysFor_0,axiom, % 0.76/0.83 ( c_in(V_K,c_Message_OkeysFor(V_H),tc_nat) % 0.76/0.83 | ~ c_in(V_K,c_Message_OsymKeys,tc_nat) % 0.76/0.83 | ~ c_in(c_Message_Omsg_OCrypt(V_K,V_X),V_H,tc_Message_Omsg) ) ). % 0.76/0.83 % 0.76/0.83 cnf(cls_parts__knows__Spy__subset__used_0,axiom, % 0.76/0.83 c_lessequals(c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,V_evs)),c_Event_Oused(V_evs),tc_fun(tc_Message_Omsg,tc_bool)) ). % 0.76/0.83 % 0.76/0.83 cnf(cls_analz__image__freshK__lemma_5,axiom, % 0.76/0.83 ( c_in(hAPP(c_Message_Omsg_OKey,V_K),c_Message_Oanalz(c_Lattices_Oupper__semilattice__class_Osup(c_Set_Oimage(c_Message_Omsg_OKey,V_nE,tc_nat,tc_Message_Omsg),V_H,tc_fun(tc_Message_Omsg,tc_bool))),tc_Message_Omsg) % 0.76/0.83 | ~ c_in(hAPP(c_Message_Omsg_OKey,V_K),c_Message_Oanalz(V_H),tc_Message_Omsg) % 0.76/0.83 | ~ c_in(hAPP(c_Message_Omsg_OKey,V_K),c_Message_Oanalz(V_H),tc_Message_Omsg) ) ). % 0.76/0.83 % 0.76/0.83 cnf(cls_analz__image__freshK__lemma_1,axiom, % 0.76/0.83 ( c_in(hAPP(c_Message_Omsg_OKey,V_K),c_Message_Oanalz(c_Lattices_Oupper__semilattice__class_Osup(c_Set_Oimage(c_Message_Omsg_OKey,V_nE,tc_nat,tc_Message_Omsg),V_H,tc_fun(tc_Message_Omsg,tc_bool))),tc_Message_Omsg) % 0.76/0.83 | ~ c_in(hAPP(c_Message_Omsg_OKey,V_K),c_Message_Oanalz(V_H),tc_Message_Omsg) % 0.76/0.83 | c_in(hAPP(c_Message_Omsg_OKey,V_K),c_Message_Oanalz(c_Lattices_Oupper__semilattice__class_Osup(c_Set_Oimage(c_Message_Omsg_OKey,V_nE,tc_nat,tc_Message_Omsg),V_H,tc_fun(tc_Message_Omsg,tc_bool))),tc_Message_Omsg) ) ). % 0.76/0.83 % 0.76/0.83 cnf(cls_Crypt__imp__invKey__keysFor_0,axiom, % 0.76/0.83 ( c_in(hAPP(c_Message_OinvKey,V_K),c_Message_OkeysFor(V_H),tc_nat) % 0.76/0.83 | ~ c_in(c_Message_Omsg_OCrypt(V_K,V_X),V_H,tc_Message_Omsg) ) ). % 0.76/0.83 % 0.76/0.83 cnf(cls_keysFor__parts__insert_0,axiom, % 0.76/0.83 ( c_in(hAPP(c_Message_Omsg_OKey,hAPP(c_Message_OinvKey,V_K)),c_Message_Oparts(V_H),tc_Message_Omsg) % 0.76/0.83 | c_in(V_K,c_Message_OkeysFor(c_Message_Oparts(c_Lattices_Oupper__semilattice__class_Osup(V_G,V_H,tc_fun(tc_Message_Omsg,tc_bool)))),tc_nat) % 0.76/0.83 | ~ c_in(V_X,c_Message_Osynth(c_Message_Oanalz(V_H)),tc_Message_Omsg) % 0.76/0.83 | ~ c_in(V_K,c_Message_OkeysFor(c_Message_Oparts(c_Set_Oinsert(V_X,V_G,tc_Message_Omsg))),tc_nat) ) ). % 0.76/0.83 % 0.76/0.83 cnf(cls_analz__insert__Key_0,axiom, % 0.76/0.83 ( c_Message_Oanalz(c_Set_Oinsert(hAPP(c_Message_Omsg_OKey,V_K),V_H,tc_Message_Omsg)) = c_Set_Oinsert(hAPP(c_Message_Omsg_OKey,V_K),c_Message_Oanalz(V_H),tc_Message_Omsg) % 0.76/0.83 | c_in(V_K,c_Message_OkeysFor(c_Message_Oanalz(V_H)),tc_nat) ) ). % 0.76/0.83 % 0.76/0.83 cnf(cls_Hash__synth__analz_0,axiom, % 0.76/0.83 ( c_in(c_Message_Omsg_OHash(c_Message_Omsg_OMPair(V_X,V_Y)),c_Message_Oanalz(V_H),tc_Message_Omsg) % 0.76/0.83 | ~ c_in(c_Message_Omsg_OHash(c_Message_Omsg_OMPair(V_X,V_Y)),c_Message_Osynth(c_Message_Oanalz(V_H)),tc_Message_Omsg) % 0.76/0.83 | c_in(V_X,c_Message_Osynth(c_Message_Oanalz(V_H)),tc_Message_Omsg) ) ). % 0.76/0.83 % 0.76/0.83 cnf(cls_Hash__synth__analz_1,axiom, % 0.76/0.83 ( c_in(c_Message_Omsg_OHash(c_Message_Omsg_OMPair(V_X,V_Y)),c_Message_Osynth(c_Message_Oanalz(V_H)),tc_Message_Omsg) % 0.76/0.83 | ~ c_in(c_Message_Omsg_OHash(c_Message_Omsg_OMPair(V_X,V_Y)),c_Message_Oanalz(V_H),tc_Message_Omsg) % 0.76/0.83 | c_in(V_X,c_Message_Osynth(c_Message_Oanalz(V_H)),tc_Message_Omsg) ) ). % 0.76/0.83 % 0.76/0.83 cnf(cls_analz__image__freshK_2,axiom, % 0.76/0.83 ( c_in(hAPP(c_Message_Omsg_OKey,V_K),c_Message_Oanalz(c_Lattices_Oupper__semilattice__class_Osup(c_Set_Oimage(c_Message_Omsg_OKey,V_KK,tc_nat,tc_Message_Omsg),c_Event_Oknows(c_Message_Oagent_OSpy,V_evs),tc_fun(tc_Message_Omsg,tc_bool))),tc_Message_Omsg) % 0.76/0.83 | ~ c_in(hAPP(c_Message_Omsg_OKey,V_K),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,V_evs)),tc_Message_Omsg) % 0.76/0.83 | ~ c_lessequals(V_KK,c_HOL_Ouminus__class_Ouminus(c_Set_Oimage(c_Public_OshrK,c_Orderings_Otop__class_Otop(tc_fun(tc_Message_Oagent,tc_bool)),tc_Message_Oagent,tc_nat),tc_fun(tc_nat,tc_bool)),tc_fun(tc_nat,tc_bool)) % 0.76/0.83 | ~ c_in(V_evs,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent)) ) ). % 0.76/0.83 % 0.76/0.83 cnf(cls_split__list__first__prop__iff_4,axiom, % 0.76/0.83 ( hBOOL(hAPP(V_P,c_List_Osko__List__Xsplit__list__first__prop__iff__1__5(V_P,c_List_Oappend(V_x,c_List_Olist_OCons(V_xa,V_xb,T_a),T_a),T_a))) % 0.76/0.83 | c_in(c_List_Osko__List__Xsplit__list__first__prop__iff__1__5(V_P,V_x,T_a),c_List_Oset(V_x,T_a),T_a) % 0.76/0.83 | ~ hBOOL(hAPP(V_P,V_xa)) ) ). % 0.76/0.83 % 0.76/0.83 cnf(cls_split__list__last__prop__iff_5,axiom, % 0.76/0.83 ( c_in(c_List_Osko__List__Xsplit__list__last__prop__iff__1__5(V_P,c_List_Oappend(V_x,c_List_Olist_OCons(V_xa,V_xb,T_a),T_a),T_a),c_List_Oset(c_List_Oappend(V_x,c_List_Olist_OCons(V_xa,V_xb,T_a),T_a),T_a),T_a) % 0.76/0.83 | hBOOL(hAPP(V_P,c_List_Osko__List__Xsplit__list__last__prop__iff__1__5(V_P,V_xb,T_a))) % 0.76/0.83 | ~ hBOOL(hAPP(V_P,V_xa)) ) ). % 0.76/0.83 % 0.76/0.83 cnf(cls_split__list__first__prop__iff_3,axiom, % 0.76/0.83 ( c_in(c_List_Osko__List__Xsplit__list__first__prop__iff__1__5(V_P,c_List_Oappend(V_x,c_List_Olist_OCons(V_xa,V_xb,T_a),T_a),T_a),c_List_Oset(c_List_Oappend(V_x,c_List_Olist_OCons(V_xa,V_xb,T_a),T_a),T_a),T_a) % 0.76/0.83 | c_in(c_List_Osko__List__Xsplit__list__first__prop__iff__1__5(V_P,V_x,T_a),c_List_Oset(V_x,T_a),T_a) % 0.76/0.83 | ~ hBOOL(hAPP(V_P,V_xa)) ) ). % 0.76/0.83 % 0.76/0.83 cnf(cls_split__list__last__prop__iff_4,axiom, % 0.76/0.83 ( hBOOL(hAPP(V_P,c_List_Osko__List__Xsplit__list__last__prop__iff__1__5(V_P,c_List_Oappend(V_x,c_List_Olist_OCons(V_xa,V_xb,T_a),T_a),T_a))) % 0.76/0.83 | c_in(c_List_Osko__List__Xsplit__list__last__prop__iff__1__5(V_P,V_xb,T_a),c_List_Oset(V_xb,T_a),T_a) % 0.76/0.83 | ~ hBOOL(hAPP(V_P,V_xa)) ) ). % 0.76/0.83 % 0.76/0.83 cnf(cls_split__list__first__prop__iff_5,axiom, % 0.76/0.83 ( c_in(c_List_Osko__List__Xsplit__list__first__prop__iff__1__5(V_P,c_List_Oappend(V_x,c_List_Olist_OCons(V_xa,V_xb,T_a),T_a),T_a),c_List_Oset(c_List_Oappend(V_x,c_List_Olist_OCons(V_xa,V_xb,T_a),T_a),T_a),T_a) % 0.76/0.83 | hBOOL(hAPP(V_P,c_List_Osko__List__Xsplit__list__first__prop__iff__1__5(V_P,V_x,T_a))) % 0.76/0.83 | ~ hBOOL(hAPP(V_P,V_xa)) ) ). % 0.76/0.83 % 0.76/0.83 cnf(cls_split__list__last__prop__iff_3,axiom, % 0.76/0.83 ( c_in(c_List_Osko__List__Xsplit__list__last__prop__iff__1__5(V_P,c_List_Oappend(V_x,c_List_Olist_OCons(V_xa,V_xb,T_a),T_a),T_a),c_List_Oset(c_List_Oappend(V_x,c_List_Olist_OCons(V_xa,V_xb,T_a),T_a),T_a),T_a) % 0.76/0.83 | c_in(c_List_Osko__List__Xsplit__list__last__prop__iff__1__5(V_P,V_xb,T_a),c_List_Oset(V_xb,T_a),T_a) % 0.76/0.83 | ~ hBOOL(hAPP(V_P,V_xa)) ) ). % 0.76/0.83 % 0.76/0.83 cnf(cls_knows__Notes_0,axiom, % 0.76/0.83 c_Event_Oknows(V_A,c_List_Olist_OCons(c_Event_Oevent_ONotes(V_A,V_X),V_evs,tc_Event_Oevent)) = c_Set_Oinsert(V_X,c_Event_Oknows(V_A,V_evs),tc_Message_Omsg) ). % 0.76/0.83 % 0.76/0.83 cnf(cls_knows__Says_0,axiom, % 0.76/0.83 c_Event_Oknows(V_A,c_List_Olist_OCons(c_Event_Oevent_OSays(V_A,V_B,V_X),V_evs,tc_Event_Oevent)) = c_Set_Oinsert(V_X,c_Event_Oknows(V_A,V_evs),tc_Message_Omsg) ). % 0.76/0.83 % 0.76/0.83 cnf(cls_Key__image__eq_1,axiom, % 0.76/0.83 ( c_in(hAPP(c_Message_Omsg_OKey,V_x),c_Set_Oimage(c_Message_Omsg_OKey,V_A,tc_nat,tc_Message_Omsg),tc_Message_Omsg) % 0.76/0.83 | ~ c_in(V_x,V_A,tc_nat) ) ). % 0.76/0.83 % 0.76/0.83 cnf(cls_Key__image__eq_0,axiom, % 0.76/0.83 ( c_in(V_x,V_A,tc_nat) % 0.76/0.83 | ~ c_in(hAPP(c_Message_Omsg_OKey,V_x),c_Set_Oimage(c_Message_Omsg_OKey,V_A,tc_nat,tc_Message_Omsg),tc_Message_Omsg) ) ). % 0.76/0.83 % 0.76/0.83 cnf(cls_Fake__analz__eq_0,axiom, % 0.76/0.83 ( c_Message_Osynth(c_Message_Oanalz(c_Set_Oinsert(V_X,V_H,tc_Message_Omsg))) = c_Message_Osynth(c_Message_Oanalz(V_H)) % 0.76/0.83 | ~ c_in(V_X,c_Message_Osynth(c_Message_Oanalz(V_H)),tc_Message_Omsg) ) ). % 0.76/0.83 % 0.76/0.83 cnf(cls_in__set__conv__decomp__first_2,axiom, % 0.76/0.83 ( c_in(V_x,c_List_Oset(c_List_Oappend(V_xa,c_List_Olist_OCons(V_x,V_xb,T_a),T_a),T_a),T_a) % 0.76/0.83 | c_in(V_x,c_List_Oset(V_xa,T_a),T_a) ) ). % 0.76/0.83 % 0.76/0.83 cnf(cls_in__set__conv__decomp__last_2,axiom, % 0.76/0.83 ( c_in(V_x,c_List_Oset(c_List_Oappend(V_xa,c_List_Olist_OCons(V_x,V_xb,T_a),T_a),T_a),T_a) % 0.76/0.83 | c_in(V_x,c_List_Oset(V_xb,T_a),T_a) ) ). % 0.76/0.83 % 0.76/0.83 cnf(cls_in__set__conv__decomp_1,axiom, % 0.76/0.83 c_in(V_x,c_List_Oset(c_List_Oappend(V_xa,c_List_Olist_OCons(V_x,V_xb,T_a),T_a),T_a),T_a) ). % 0.76/0.83 % 0.76/0.83 cnf(cls_spies__Says__rev_0,axiom, % 0.76/0.83 c_Event_Oknows(c_Message_Oagent_OSpy,c_List_Oappend(V_evs,c_List_Olist_OCons(c_Event_Oevent_OSays(V_A,V_B,V_X),c_List_Olist_ONil(tc_Event_Oevent),tc_Event_Oevent),tc_Event_Oevent)) = c_Set_Oinsert(V_X,c_Event_Oknows(c_Message_Oagent_OSpy,V_evs),tc_Message_Omsg) ). % 0.76/0.83 % 0.76/0.83 cnf(cls_analz__insert__freshK_2,axiom, % 0.76/0.83 ( c_in(hAPP(c_Message_Omsg_OKey,V_K),c_Message_Oanalz(c_Set_Oinsert(hAPP(c_Message_Omsg_OKey,V_KAB),c_Event_Oknows(c_Message_Oagent_OSpy,V_evs),tc_Message_Omsg)),tc_Message_Omsg) % 0.76/0.83 | ~ c_in(hAPP(c_Message_Omsg_OKey,V_K),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,V_evs)),tc_Message_Omsg) % 0.76/0.83 | c_in(V_KAB,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) % 0.76/0.83 | ~ c_in(V_evs,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent)) ) ). % 0.76/0.83 % 0.76/0.83 cnf(cls_analz__insert__freshK_0,axiom, % 0.76/0.83 ( c_in(hAPP(c_Message_Omsg_OKey,V_K),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,V_evs)),tc_Message_Omsg) % 0.76/0.83 | V_K = V_KAB % 0.76/0.83 | ~ c_in(hAPP(c_Message_Omsg_OKey,V_K),c_Message_Oanalz(c_Set_Oinsert(hAPP(c_Message_Omsg_OKey,V_KAB),c_Event_Oknows(c_Message_Oagent_OSpy,V_evs),tc_Message_Omsg)),tc_Message_Omsg) % 0.76/0.83 | c_in(V_KAB,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) % 0.76/0.83 | ~ c_in(V_evs,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent)) ) ). % 0.76/0.83 % 0.76/0.83 cnf(cls_analz__insert__freshK_1,axiom, % 0.76/0.83 ( c_in(V_x,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) % 0.76/0.83 | ~ c_in(V_evs,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent)) % 0.76/0.83 | c_in(hAPP(c_Message_Omsg_OKey,V_x),c_Message_Oanalz(c_Set_Oinsert(hAPP(c_Message_Omsg_OKey,V_x),c_Event_Oknows(c_Message_Oagent_OSpy,V_evs),tc_Message_Omsg)),tc_Message_Omsg) ) ). % 0.76/0.83 % 0.76/0.83 cnf(cls_analz__insert__Nonce_0,axiom, % 0.76/0.83 c_Message_Oanalz(c_Set_Oinsert(c_Message_Omsg_ONonce(V_N),V_H,tc_Message_Omsg)) = c_Set_Oinsert(c_Message_Omsg_ONonce(V_N),c_Message_Oanalz(V_H),tc_Message_Omsg) ). % 0.76/0.83 % 0.76/0.83 cnf(cls_pushes_I2_J_0,axiom, % 0.76/0.83 c_Set_Oinsert(hAPP(c_Message_Omsg_OKey,V_K),c_Set_Oinsert(c_Message_Omsg_ONonce(V_N),V_A,tc_Message_Omsg),tc_Message_Omsg) = c_Set_Oinsert(c_Message_Omsg_ONonce(V_N),c_Set_Oinsert(hAPP(c_Message_Omsg_OKey,V_K),V_A,tc_Message_Omsg),tc_Message_Omsg) ). % 0.76/0.83 % 0.76/0.83 cnf(cls_pushes_I9_J_0,axiom, % 0.76/0.83 c_Set_Oinsert(c_Message_Omsg_OCrypt(V_X,V_K),c_Set_Oinsert(c_Message_Omsg_ONonce(V_N),V_A,tc_Message_Omsg),tc_Message_Omsg) = c_Set_Oinsert(c_Message_Omsg_ONonce(V_N),c_Set_Oinsert(c_Message_Omsg_OCrypt(V_X,V_K),V_A,tc_Message_Omsg),tc_Message_Omsg) ). % 0.76/0.83 % 0.76/0.83 cnf(cls_analz__insert__Agent_0,axiom, % 0.76/0.83 c_Message_Oanalz(c_Set_Oinsert(c_Message_Omsg_OAgent(V_agt),V_H,tc_Message_Omsg)) = c_Set_Oinsert(c_Message_Omsg_OAgent(V_agt),c_Message_Oanalz(V_H),tc_Message_Omsg) ). % 0.76/0.83 % 0.76/0.83 cnf(cls_pushes_I1_J_0,axiom, % 0.76/0.83 c_Set_Oinsert(hAPP(c_Message_Omsg_OKey,V_K),c_Set_Oinsert(c_Message_Omsg_OAgent(V_C),V_A,tc_Message_Omsg),tc_Message_Omsg) = c_Set_Oinsert(c_Message_Omsg_OAgent(V_C),c_Set_Oinsert(hAPP(c_Message_Omsg_OKey,V_K),V_A,tc_Message_Omsg),tc_Message_Omsg) ). % 0.76/0.83 % 0.76/0.83 cnf(cls_parts__insert__Nonce_0,axiom, % 0.76/0.83 c_Message_Oparts(c_Set_Oinsert(c_Message_Omsg_ONonce(V_N),V_H,tc_Message_Omsg)) = c_Set_Oinsert(c_Message_Omsg_ONonce(V_N),c_Message_Oparts(V_H),tc_Message_Omsg) ). % 0.76/0.83 % 0.76/0.83 cnf(cls_pushes_I8_J_0,axiom, % 0.76/0.83 c_Set_Oinsert(c_Message_Omsg_OCrypt(V_X,V_K),c_Set_Oinsert(c_Message_Omsg_OAgent(V_C),V_A,tc_Message_Omsg),tc_Message_Omsg) = c_Set_Oinsert(c_Message_Omsg_OAgent(V_C),c_Set_Oinsert(c_Message_Omsg_OCrypt(V_X,V_K),V_A,tc_Message_Omsg),tc_Message_Omsg) ). % 0.76/0.83 % 0.76/0.83 cnf(cls_parts__insert__Agent_0,axiom, % 0.76/0.83 c_Message_Oparts(c_Set_Oinsert(c_Message_Omsg_OAgent(V_agt),V_H,tc_Message_Omsg)) = c_Set_Oinsert(c_Message_Omsg_OAgent(V_agt),c_Message_Oparts(V_H),tc_Message_Omsg) ). % 0.76/0.83 % 0.76/0.83 cnf(cls_pushes_I6_J_0,axiom, % 0.76/0.83 c_Set_Oinsert(hAPP(c_Message_Omsg_OKey,V_K),c_Set_Oinsert(c_Message_Omsg_OCrypt(V_X,V_K_H),V_A,tc_Message_Omsg),tc_Message_Omsg) = c_Set_Oinsert(c_Message_Omsg_OCrypt(V_X,V_K_H),c_Set_Oinsert(hAPP(c_Message_Omsg_OKey,V_K),V_A,tc_Message_Omsg),tc_Message_Omsg) ). % 0.76/0.83 % 0.76/0.83 cnf(cls_synth__cut_0,axiom, % 0.76/0.83 ( c_in(V_Y,c_Message_Osynth(V_H),tc_Message_Omsg) % 0.76/0.83 | ~ c_in(V_X,c_Message_Osynth(V_H),tc_Message_Omsg) % 0.76/0.83 | ~ c_in(V_Y,c_Message_Osynth(c_Set_Oinsert(V_X,V_H,tc_Message_Omsg)),tc_Message_Omsg) ) ). % 0.76/0.83 % 0.76/0.83 cnf(cls_parts__insert__Key_0,axiom, % 0.76/0.83 c_Message_Oparts(c_Set_Oinsert(hAPP(c_Message_Omsg_OKey,V_K),V_H,tc_Message_Omsg)) = c_Set_Oinsert(hAPP(c_Message_Omsg_OKey,V_K),c_Message_Oparts(V_H),tc_Message_Omsg) ). % 0.76/0.83 % 0.76/0.83 cnf(cls_analz__Decrypt_H_0,axiom, % 0.76/0.83 ( c_in(V_X,c_Message_Oanalz(V_H),tc_Message_Omsg) % 0.76/0.83 | ~ c_in(hAPP(c_Message_Omsg_OKey,V_K),c_Message_Oanalz(V_H),tc_Message_Omsg) % 0.76/0.83 | ~ c_in(V_K,c_Message_OsymKeys,tc_nat) % 0.76/0.83 | ~ c_in(c_Message_Omsg_OCrypt(V_K,V_X),c_Message_Oanalz(V_H),tc_Message_Omsg) ) ). % 0.76/0.83 % 0.76/0.83 cnf(cls_analz__insert__MPair_0,axiom, % 0.76/0.83 c_Message_Oanalz(c_Set_Oinsert(c_Message_Omsg_OMPair(V_X,V_Y),V_H,tc_Message_Omsg)) = c_Set_Oinsert(c_Message_Omsg_OMPair(V_X,V_Y),c_Message_Oanalz(c_Set_Oinsert(V_X,c_Set_Oinsert(V_Y,V_H,tc_Message_Omsg),tc_Message_Omsg)),tc_Message_Omsg) ). % 0.76/0.83 % 0.76/0.83 cnf(cls_parts__insert__Crypt_0,axiom, % 0.76/0.83 c_Message_Oparts(c_Set_Oinsert(c_Message_Omsg_OCrypt(V_K,V_X),V_H,tc_Message_Omsg)) = c_Set_Oinsert(c_Message_Omsg_OCrypt(V_K,V_X),c_Message_Oparts(c_Set_Oinsert(V_X,V_H,tc_Message_Omsg)),tc_Message_Omsg) ). % 0.76/0.83 % 0.76/0.83 cnf(cls_pushes_I5_J_0,axiom, % 0.76/0.83 c_Set_Oinsert(hAPP(c_Message_Omsg_OKey,V_K),c_Set_Oinsert(c_Message_Omsg_OMPair(V_X,V_Y),V_A,tc_Message_Omsg),tc_Message_Omsg) = c_Set_Oinsert(c_Message_Omsg_OMPair(V_X,V_Y),c_Set_Oinsert(hAPP(c_Message_Omsg_OKey,V_K),V_A,tc_Message_Omsg),tc_Message_Omsg) ). % 0.76/0.83 % 0.76/0.83 cnf(cls_analz__cut_0,axiom, % 0.76/0.83 ( c_in(V_Y,c_Message_Oanalz(V_H),tc_Message_Omsg) % 0.76/0.83 | ~ c_in(V_X,c_Message_Oanalz(V_H),tc_Message_Omsg) % 0.76/0.83 | ~ c_in(V_Y,c_Message_Oanalz(c_Set_Oinsert(V_X,V_H,tc_Message_Omsg)),tc_Message_Omsg) ) ). % 0.76/0.83 % 0.76/0.83 cnf(cls_analz__insert__eq_0,axiom, % 0.76/0.83 ( c_Message_Oanalz(c_Set_Oinsert(V_X,V_H,tc_Message_Omsg)) = c_Message_Oanalz(V_H) % 0.76/0.83 | ~ c_in(V_X,c_Message_Oanalz(V_H),tc_Message_Omsg) ) ). % 0.76/0.83 % 0.76/0.83 cnf(cls_analz__insertI_0,axiom, % 0.76/0.83 ( c_in(V_c,c_Message_Oanalz(c_Set_Oinsert(V_a,V_G,tc_Message_Omsg)),tc_Message_Omsg) % 0.76/0.83 | ~ c_in(V_c,c_Message_Oanalz(V_G),tc_Message_Omsg) ) ). % 0.76/0.83 % 0.76/0.83 cnf(cls_pushes_I12_J_0,axiom, % 0.76/0.83 c_Set_Oinsert(c_Message_Omsg_OCrypt(V_X,V_K),c_Set_Oinsert(c_Message_Omsg_OMPair(V_X_H,V_Y),V_A,tc_Message_Omsg),tc_Message_Omsg) = c_Set_Oinsert(c_Message_Omsg_OMPair(V_X_H,V_Y),c_Set_Oinsert(c_Message_Omsg_OCrypt(V_X,V_K),V_A,tc_Message_Omsg),tc_Message_Omsg) ). % 0.76/0.83 % 0.76/0.83 cnf(cls_parts__insert__MPair_0,axiom, % 0.76/0.83 c_Message_Oparts(c_Set_Oinsert(c_Message_Omsg_OMPair(V_X,V_Y),V_H,tc_Message_Omsg)) = c_Set_Oinsert(c_Message_Omsg_OMPair(V_X,V_Y),c_Message_Oparts(c_Set_Oinsert(V_X,c_Set_Oinsert(V_Y,V_H,tc_Message_Omsg),tc_Message_Omsg)),tc_Message_Omsg) ). % 0.76/0.83 % 0.76/0.83 cnf(cls_parts__insertI_0,axiom, % 0.76/0.83 ( c_in(V_c,c_Message_Oparts(c_Set_Oinsert(V_a,V_G,tc_Message_Omsg)),tc_Message_Omsg) % 0.76/0.83 | ~ c_in(V_c,c_Message_Oparts(V_G),tc_Message_Omsg) ) ). % 0.76/0.83 % 0.76/0.83 cnf(cls_parts__cut__eq_0,axiom, % 0.76/0.83 ( c_Message_Oparts(c_Set_Oinsert(V_X,V_H,tc_Message_Omsg)) = c_Message_Oparts(V_H) % 0.76/0.83 | ~ c_in(V_X,c_Message_Oparts(V_H),tc_Message_Omsg) ) ). % 0.76/0.83 % 0.76/0.83 cnf(cls_List_Oset_Osimps_I2_J_0,axiom, % 0.76/0.83 c_List_Oset(c_List_Olist_OCons(V_x,V_xs,T_a),T_a) = c_Set_Oinsert(V_x,c_List_Oset(V_xs,T_a),T_a) ). % 0.76/0.83 % 0.76/0.83 cnf(cls_append1__eq__conv_1,axiom, % 0.76/0.83 ( c_List_Oappend(V_xs,c_List_Olist_OCons(V_x,c_List_Olist_ONil(T_a),T_a),T_a) != c_List_Oappend(V_ys,c_List_Olist_OCons(V_y,c_List_Olist_ONil(T_a),T_a),T_a) % 0.76/0.83 | V_x = V_y ) ). % 0.76/0.83 % 0.76/0.83 cnf(cls_append1__eq__conv_0,axiom, % 0.76/0.83 ( c_List_Oappend(V_xs,c_List_Olist_OCons(V_x,c_List_Olist_ONil(T_a),T_a),T_a) != c_List_Oappend(V_ys,c_List_Olist_OCons(V_y,c_List_Olist_ONil(T_a),T_a),T_a) % 0.76/0.83 | V_xs = V_ys ) ). % 0.76/0.83 % 0.76/0.83 cnf(cls_append__eq__Cons__conv_4,axiom, % 0.76/0.83 c_List_Oappend(c_List_Olist_ONil(T_a),c_List_Olist_OCons(V_x,V_xs,T_a),T_a) = c_List_Olist_OCons(V_x,V_xs,T_a) ). % 0.76/0.83 % 0.76/0.83 cnf(cls_Cons__eq__append__conv_4,axiom, % 0.76/0.83 c_List_Olist_OCons(V_x,V_xs,T_a) = c_List_Oappend(c_List_Olist_ONil(T_a),c_List_Olist_OCons(V_x,V_xs,T_a),T_a) ). % 0.76/0.83 % 0.76/0.83 cnf(cls_rangeI_0,axiom, % 0.76/0.83 c_in(hAPP(V_f,V_x),c_Set_Oimage(V_f,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_bool)),T_b,T_a),T_a) ). % 0.76/0.83 % 0.76/0.83 cnf(cls_insert__image_0,axiom, % 0.76/0.83 ( c_Set_Oinsert(hAPP(V_f,V_x),c_Set_Oimage(V_f,V_A,T_a,T_b),T_b) = c_Set_Oimage(V_f,V_A,T_a,T_b) % 0.76/0.83 | ~ c_in(V_x,V_A,T_a) ) ). % 0.76/0.83 % 0.76/0.83 cnf(cls_privateKey__notin__image__shrK_0,axiom, % 0.76/0.83 ~ c_in(hAPP(c_Message_OinvKey,hAPP(c_Public_OpublicKey(V_b),V_x)),c_Set_Oimage(c_Public_OshrK,V_AA,tc_Message_Oagent,tc_nat),tc_nat) ). % 0.76/0.83 % 0.76/0.83 cnf(cls_sym__shrK_0,axiom, % 0.76/0.83 c_in(hAPP(c_Public_OshrK,V_X),c_Message_OsymKeys,tc_nat) ). % 0.76/0.83 % 0.76/0.83 cnf(cls_append__eq__append__conv2_5,axiom, % 0.76/0.83 c_List_Oappend(V_xs,c_List_Oappend(V_x,V_ts,T_a),T_a) = c_List_Oappend(c_List_Oappend(V_xs,V_x,T_a),V_ts,T_a) ). % 0.76/0.83 % 0.76/0.83 cnf(cls_append__eq__append__conv2_4,axiom, % 0.76/0.83 c_List_Oappend(c_List_Oappend(V_zs,V_x,T_a),V_ys,T_a) = c_List_Oappend(V_zs,c_List_Oappend(V_x,V_ys,T_a),T_a) ). % 0.76/0.83 % 0.76/0.83 cnf(cls_append__eq__appendI_0,axiom, % 0.76/0.83 c_List_Oappend(V_xs,c_List_Oappend(V_xs1,V_us,T_a),T_a) = c_List_Oappend(c_List_Oappend(V_xs,V_xs1,T_a),V_us,T_a) ). % 0.76/0.83 % 0.76/0.83 cnf(cls_append__assoc_0,axiom, % 0.76/0.83 c_List_Oappend(c_List_Oappend(V_xs,V_ys,T_a),V_zs,T_a) = c_List_Oappend(V_xs,c_List_Oappend(V_ys,V_zs,T_a),T_a) ). % 0.76/0.83 % 0.76/0.83 cnf(cls_not__symKeys__priK_0,axiom, % 0.76/0.83 ~ c_in(hAPP(c_Message_OinvKey,hAPP(c_Public_OpublicKey(V_b),V_A)),c_Message_OsymKeys,tc_nat) ). % 0.76/0.83 % 0.76/0.83 cnf(cls_insert__code_1,axiom, % 0.76/0.83 hBOOL(hAPP(c_Set_Oinsert(V_x,V_A,T_a),V_x)) ). % 0.76/0.83 % 0.76/0.83 cnf(cls_image__insert_0,axiom, % 0.76/0.83 c_Set_Oimage(V_f,c_Set_Oinsert(V_a,V_B,T_b),T_b,T_a) = c_Set_Oinsert(hAPP(V_f,V_a),c_Set_Oimage(V_f,V_B,T_b,T_a),T_a) ). % 0.76/0.83 % 0.76/0.83 cnf(cls_top1I_0,axiom, % 0.76/0.83 hBOOL(hAPP(c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_bool)),V_x)) ). % 0.76/0.83 % 0.76/0.83 cnf(cls_invKey__K_0,axiom, % 0.76/0.83 ( hAPP(c_Message_OinvKey,V_K) = V_K % 0.76/0.83 | ~ c_in(V_K,c_Message_OsymKeys,tc_nat) ) ). % 0.76/0.83 % 0.76/0.83 cnf(cls_symKeys__invKey__iff_1,axiom, % 0.76/0.83 ( c_in(hAPP(c_Message_OinvKey,V_K),c_Message_OsymKeys,tc_nat) % 0.76/0.83 | ~ c_in(V_K,c_Message_OsymKeys,tc_nat) ) ). % 0.76/0.83 % 0.76/0.83 cnf(cls_symKeys__invKey__iff_0,axiom, % 0.76/0.83 ( c_in(V_K,c_Message_OsymKeys,tc_nat) % 0.76/0.83 | ~ c_in(hAPP(c_Message_OinvKey,V_K),c_Message_OsymKeys,tc_nat) ) ). % 0.76/0.83 % 0.76/0.83 cnf(cls_insert__code_0,axiom, % 0.76/0.83 ( hBOOL(hAPP(V_A,V_x)) % 0.76/0.83 | V_y = V_x % 0.76/0.83 | ~ hBOOL(hAPP(c_Set_Oinsert(V_y,V_A,T_a),V_x)) ) ). % 0.76/0.83 % 0.76/0.83 cnf(cls_insert__absorb2_0,axiom, % 0.76/0.83 c_Set_Oinsert(V_x,c_Set_Oinsert(V_x,V_A,T_a),T_a) = c_Set_Oinsert(V_x,V_A,T_a) ). % 0.76/0.83 % 0.76/0.83 cnf(cls_privateKey__notin__image__publicKey_0,axiom, % 0.76/0.83 ~ c_in(hAPP(c_Message_OinvKey,hAPP(c_Public_OpublicKey(V_b),V_x)),c_Set_Oimage(c_Public_OpublicKey(V_c),V_AA,tc_Message_Oagent,tc_nat),tc_nat) ). % 0.76/0.83 % 0.76/0.83 cnf(cls_publicKey__image__eq_2,axiom, % 0.76/0.83 ( c_in(hAPP(c_Public_OpublicKey(V_x),V_xa),c_Set_Oimage(c_Public_OpublicKey(V_x),V_AA,tc_Message_Oagent,tc_nat),tc_nat) % 0.76/0.83 | ~ c_in(V_xa,V_AA,tc_Message_Oagent) ) ). % 0.76/0.83 % 0.76/0.84 cnf(cls_publicKey__image__eq_1,axiom, % 0.76/0.84 ( c_in(V_x,V_AA,tc_Message_Oagent) % 0.76/0.84 | ~ c_in(hAPP(c_Public_OpublicKey(V_b),V_x),c_Set_Oimage(c_Public_OpublicKey(V_c),V_AA,tc_Message_Oagent,tc_nat),tc_nat) ) ). % 0.76/0.84 % 0.76/0.84 cnf(cls_publicKey__image__eq_0,axiom, % 0.76/0.84 ( V_b = V_c % 0.76/0.84 | ~ c_in(hAPP(c_Public_OpublicKey(V_b),V_x),c_Set_Oimage(c_Public_OpublicKey(V_c),V_AA,tc_Message_Oagent,tc_nat),tc_nat) ) ). % 0.76/0.84 % 0.76/0.84 cnf(cls_same__append__eq_0,axiom, % 0.76/0.84 ( c_List_Oappend(V_xs,V_ys,T_a) != c_List_Oappend(V_xs,V_zs,T_a) % 0.76/0.84 | V_ys = V_zs ) ). % 0.76/0.84 % 0.76/0.84 cnf(cls_append__same__eq_0,axiom, % 0.76/0.84 ( c_List_Oappend(V_ys,V_xs,T_a) != c_List_Oappend(V_zs,V_xs,T_a) % 0.76/0.84 | V_ys = V_zs ) ). % 0.76/0.84 % 0.76/0.84 cnf(cls_publicKey__notin__image__shrK_0,axiom, % 0.76/0.84 ~ c_in(hAPP(c_Public_OpublicKey(V_b),V_x),c_Set_Oimage(c_Public_OshrK,V_AA,tc_Message_Oagent,tc_nat),tc_nat) ). % 0.76/0.84 % 0.76/0.84 cnf(cls_insert__commute_0,axiom, % 0.76/0.84 c_Set_Oinsert(V_x,c_Set_Oinsert(V_y,V_A,T_a),T_a) = c_Set_Oinsert(V_y,c_Set_Oinsert(V_x,V_A,T_a),T_a) ). % 0.76/0.84 % 0.76/0.84 cnf(cls_append__eq__Cons__conv_5,axiom, % 0.76/0.84 c_List_Oappend(c_List_Olist_OCons(V_x,V_xa,T_a),V_zs,T_a) = c_List_Olist_OCons(V_x,c_List_Oappend(V_xa,V_zs,T_a),T_a) ). % 0.76/0.84 % 0.76/0.84 cnf(cls_append__Cons_0,axiom, % 0.76/0.84 c_List_Oappend(c_List_Olist_OCons(V_x,V_xs,T_a),V_ys,T_a) = c_List_Olist_OCons(V_x,c_List_Oappend(V_xs,V_ys,T_a),T_a) ). % 0.76/0.84 % 0.76/0.84 cnf(cls_insert__code_2,axiom, % 0.76/0.84 ( hBOOL(hAPP(c_Set_Oinsert(V_y,V_A,T_a),V_x)) % 0.76/0.84 | ~ hBOOL(hAPP(V_A,V_x)) ) ). % 0.76/0.84 % 0.76/0.84 cnf(cls_Cons__eq__append__conv_5,axiom, % 0.76/0.84 c_List_Olist_OCons(V_x,c_List_Oappend(V_xa,V_zs,T_a),T_a) = c_List_Oappend(c_List_Olist_OCons(V_x,V_xa,T_a),V_zs,T_a) ). % 0.76/0.84 % 0.76/0.84 cnf(cls_Cons__eq__appendI_0,axiom, % 0.76/0.84 c_List_Olist_OCons(V_x,c_List_Oappend(V_xs1,V_zs,T_a),T_a) = c_List_Oappend(c_List_Olist_OCons(V_x,V_xs1,T_a),V_zs,T_a) ). % 0.76/0.84 % 0.76/0.84 cnf(cls_not__symKeys__pubK_0,axiom, % 0.76/0.84 ~ c_in(hAPP(c_Public_OpublicKey(V_b),V_A),c_Message_OsymKeys,tc_nat) ). % 0.76/0.84 % 0.76/0.84 cnf(cls_analz__image__freshK__simps_I56_J_0,axiom, % 0.76/0.84 c_Set_Oinsert(hAPP(V_f,V_a),c_Set_Oimage(V_f,V_B,T_b,T_a),T_a) = c_Set_Oimage(V_f,c_Set_Oinsert(V_a,V_B,T_b),T_b,T_a) ). % 0.76/0.84 % 0.76/0.84 cnf(cls_shrK__notin__image__publicKey_0,axiom, % 0.76/0.84 ~ c_in(hAPP(c_Public_OshrK,V_x),c_Set_Oimage(c_Public_OpublicKey(V_b),V_AA,tc_Message_Oagent,tc_nat),tc_nat) ). % 0.76/0.84 % 0.76/0.84 cnf(cls_Key__not__used_0,axiom, % 0.76/0.84 ( ~ c_in(V_K,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) % 0.76/0.84 | c_in(hAPP(c_Message_Omsg_OKey,V_K),c_Event_Oused(V_evs),tc_Message_Omsg) ) ). % 0.76/0.84 % 0.76/0.84 cnf(cls_insert__iff_2,axiom, % 0.76/0.84 ( c_in(V_a,c_Set_Oinsert(V_b,V_A,T_a),T_a) % 0.76/0.84 | ~ c_in(V_a,V_A,T_a) ) ). % 0.76/0.84 % 0.76/0.84 cnf(cls_insertCI_0,axiom, % 0.76/0.84 ( c_in(V_a,c_Set_Oinsert(V_b,V_B,T_a),T_a) % 0.76/0.84 | ~ c_in(V_a,V_B,T_a) ) ). % 0.76/0.84 % 0.76/0.84 cnf(cls_insertE_0,axiom, % 0.76/0.84 ( c_in(V_a,V_A,T_a) % 0.76/0.84 | V_a = V_b % 0.76/0.84 | ~ c_in(V_a,c_Set_Oinsert(V_b,V_A,T_a),T_a) ) ). % 0.76/0.84 % 0.76/0.84 cnf(cls_UNIV__I_0,axiom, % 0.76/0.84 c_in(V_x,c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_bool)),T_a) ). % 0.76/0.84 % 0.76/0.84 cnf(cls_insert__iff_1,axiom, % 0.76/0.84 c_in(V_x,c_Set_Oinsert(V_x,V_A,T_a),T_a) ). % 0.76/0.84 % 0.76/0.84 cnf(cls_insertI1_0,axiom, % 0.76/0.84 c_in(V_a,c_Set_Oinsert(V_a,V_B,T_a),T_a) ). % 0.76/0.84 % 0.76/0.84 cnf(cls_insertCI_1,axiom, % 0.76/0.84 c_in(V_x,c_Set_Oinsert(V_x,V_B,T_a),T_a) ). % 0.76/0.84 % 0.76/0.84 cnf(cls_insert__ident_0,axiom, % 0.76/0.84 ( c_Set_Oinsert(V_x,V_A,T_a) != c_Set_Oinsert(V_x,V_B,T_a) % 0.76/0.84 | c_in(V_x,V_B,T_a) % 0.76/0.84 | c_in(V_x,V_A,T_a) % 0.76/0.84 | V_A = V_B ) ). % 0.76/0.84 % 0.76/0.84 cnf(cls_insert__absorb_0,axiom, % 0.76/0.84 ( c_Set_Oinsert(V_a,V_A,T_a) = V_A % 0.76/0.84 | ~ c_in(V_a,V_A,T_a) ) ). % 0.76/0.84 % 0.76/0.84 cnf(cls_append__is__Nil__conv_2,axiom, % 0.76/0.84 c_List_Oappend(c_List_Olist_ONil(T_a),c_List_Olist_ONil(T_a),T_a) = c_List_Olist_ONil(T_a) ). % 0.76/0.84 % 0.76/0.84 cnf(cls_self__append__conv2_0,axiom, % 0.76/0.84 ( V_ys != c_List_Oappend(V_xs,V_ys,T_a) % 0.76/0.84 | V_xs = c_List_Olist_ONil(T_a) ) ). % 0.76/0.84 % 0.76/0.84 cnf(cls_append__self__conv2_0,axiom, % 0.76/0.84 ( c_List_Oappend(V_xs,V_ys,T_a) != V_ys % 0.76/0.84 | V_xs = c_List_Olist_ONil(T_a) ) ). % 0.76/0.84 % 0.76/0.84 cnf(cls_self__append__conv_0,axiom, % 0.76/0.84 ( V_xs != c_List_Oappend(V_xs,V_ys,T_a) % 0.76/0.84 | V_ys = c_List_Olist_ONil(T_a) ) ). % 0.76/0.84 % 0.76/0.84 cnf(cls_append__self__conv_0,axiom, % 0.76/0.84 ( c_List_Oappend(V_xs,V_ys,T_a) != V_xs % 0.76/0.84 | V_ys = c_List_Olist_ONil(T_a) ) ). % 0.76/0.84 % 0.76/0.84 cnf(cls_append__is__Nil__conv_1,axiom, % 0.76/0.84 ( c_List_Oappend(V_xs,V_ys,T_a) != c_List_Olist_ONil(T_a) % 0.76/0.84 | V_ys = c_List_Olist_ONil(T_a) ) ). % 0.76/0.84 % 0.76/0.84 cnf(cls_append__is__Nil__conv_0,axiom, % 0.76/0.84 ( c_List_Oappend(V_xs,V_ys,T_a) != c_List_Olist_ONil(T_a) % 0.76/0.84 | V_xs = c_List_Olist_ONil(T_a) ) ). % 0.76/0.84 % 0.76/0.84 cnf(cls_Nil__is__append__conv_1,axiom, % 0.76/0.84 ( c_List_Olist_ONil(T_a) != c_List_Oappend(V_xs,V_ys,T_a) % 0.76/0.84 | V_ys = c_List_Olist_ONil(T_a) ) ). % 0.76/0.84 % 0.76/0.84 cnf(cls_Nil__is__append__conv_0,axiom, % 0.76/0.84 ( c_List_Olist_ONil(T_a) != c_List_Oappend(V_xs,V_ys,T_a) % 0.76/0.84 | V_xs = c_List_Olist_ONil(T_a) ) ). % 0.76/0.84 % 0.76/0.84 cnf(cls_self__append__conv2_1,axiom, % 0.76/0.84 V_ys = c_List_Oappend(c_List_Olist_ONil(T_a),V_ys,T_a) ). % 0.76/0.84 % 0.76/0.84 cnf(cls_append__Nil_0,axiom, % 0.76/0.84 c_List_Oappend(c_List_Olist_ONil(T_a),V_ys,T_a) = V_ys ). % 0.76/0.84 % 0.76/0.84 cnf(cls_self__append__conv_1,axiom, % 0.76/0.84 V_xs = c_List_Oappend(V_xs,c_List_Olist_ONil(T_a),T_a) ). % 0.76/0.84 % 0.76/0.84 cnf(cls_eq__Nil__appendI_0,axiom, % 0.76/0.84 V_x = c_List_Oappend(c_List_Olist_ONil(T_a),V_x,T_a) ). % 0.76/0.84 % 0.76/0.84 cnf(cls_append__Nil2_0,axiom, % 0.76/0.84 c_List_Oappend(V_xs,c_List_Olist_ONil(T_a),T_a) = V_xs ). % 0.76/0.84 % 0.76/0.84 cnf(cls_Nil__is__append__conv_2,axiom, % 0.76/0.84 c_List_Olist_ONil(T_a) = c_List_Oappend(c_List_Olist_ONil(T_a),c_List_Olist_ONil(T_a),T_a) ). % 0.76/0.84 % 0.76/0.84 cnf(cls_analz__insert__cong_0,axiom, % 0.76/0.84 ( c_Message_Oanalz(V_H) != c_Message_Oanalz(V_H_H) % 0.76/0.84 | c_Message_Oanalz(c_Set_Oinsert(V_X,V_H,tc_Message_Omsg)) = c_Message_Oanalz(c_Set_Oinsert(V_X,V_H_H,tc_Message_Omsg)) ) ). % 0.76/0.84 % 0.76/0.84 cnf(cls_shrK__image__eq_1,axiom, % 0.76/0.84 ( c_in(hAPP(c_Public_OshrK,V_x),c_Set_Oimage(c_Public_OshrK,V_AA,tc_Message_Oagent,tc_nat),tc_nat) % 0.76/0.84 | ~ c_in(V_x,V_AA,tc_Message_Oagent) ) ). % 0.76/0.84 % 0.76/0.84 cnf(cls_shrK__image__eq_0,axiom, % 0.76/0.84 ( c_in(V_x,V_AA,tc_Message_Oagent) % 0.76/0.84 | ~ c_in(hAPP(c_Public_OshrK,V_x),c_Set_Oimage(c_Public_OshrK,V_AA,tc_Message_Oagent,tc_nat),tc_nat) ) ). % 0.76/0.84 % 0.76/0.84 cnf(cls_analz__Crypt__if_1,axiom, % 0.76/0.84 ( c_Message_Oanalz(c_Set_Oinsert(c_Message_Omsg_OCrypt(V_K,V_X),V_H,tc_Message_Omsg)) = c_Set_Oinsert(c_Message_Omsg_OCrypt(V_K,V_X),c_Message_Oanalz(V_H),tc_Message_Omsg) % 0.76/0.84 | c_in(hAPP(c_Message_Omsg_OKey,hAPP(c_Message_OinvKey,V_K)),c_Message_Oanalz(V_H),tc_Message_Omsg) ) ). % 0.76/0.84 % 0.76/0.84 cnf(cls_analz__Crypt__if_0,axiom, % 0.76/0.84 ( c_Message_Oanalz(c_Set_Oinsert(c_Message_Omsg_OCrypt(V_K,V_X),V_H,tc_Message_Omsg)) = c_Set_Oinsert(c_Message_Omsg_OCrypt(V_K,V_X),c_Message_Oanalz(c_Set_Oinsert(V_X,V_H,tc_Message_Omsg)),tc_Message_Omsg) % 0.76/0.84 | ~ c_in(hAPP(c_Message_Omsg_OKey,hAPP(c_Message_OinvKey,V_K)),c_Message_Oanalz(V_H),tc_Message_Omsg) ) ). % 0.76/0.84 % 0.76/0.84 cnf(cls_Says__S__message__form_0,axiom, % 0.76/0.84 ( c_in(V_X,c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,V_evs)),tc_Message_Omsg) % 0.76/0.84 | ~ c_in(V_K,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) % 0.76/0.84 | ~ c_in(V_evs,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent)) % 0.76/0.84 | ~ c_in(c_Event_Oevent_OSays(V_S,V_A,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,V_A),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(V_NA),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(V_B),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,V_K),V_X))))),c_List_Oset(V_evs,tc_Event_Oevent),tc_Event_Oevent) ) ). % 0.76/0.84 % 0.76/0.84 cnf(cls_spies__Gets__rev_0,axiom, % 0.76/0.84 c_Event_Oknows(c_Message_Oagent_OSpy,c_List_Oappend(V_evs,c_List_Olist_OCons(c_Event_Oevent_OGets(V_A,V_X),c_List_Olist_ONil(tc_Event_Oevent),tc_Event_Oevent),tc_Event_Oevent)) = c_Event_Oknows(c_Message_Oagent_OSpy,V_evs) ). % 0.76/0.84 % 0.76/0.84 cnf(cls_ns__sharedp_ONS5_0,axiom, % 0.76/0.84 ( c_NS__Shared__Mirabelle_Ons__sharedp(c_List_Olist_OCons(c_Event_Oevent_OSays(V_A,V_B,c_Message_Omsg_OCrypt(V_K,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(V_NB),c_Message_Omsg_ONonce(V_NB)))),V_evs5,tc_Event_Oevent)) % 0.76/0.84 | ~ c_in(c_Event_Oevent_OSays(V_S,V_A,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,V_A),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(V_NA),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(V_B),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,V_K),V_X))))),c_List_Oset(V_evs5,tc_Event_Oevent),tc_Event_Oevent) % 0.76/0.84 | ~ c_in(c_Event_Oevent_OSays(V_B_H,V_A,c_Message_Omsg_OCrypt(V_K,c_Message_Omsg_ONonce(V_NB))),c_List_Oset(V_evs5,tc_Event_Oevent),tc_Event_Oevent) % 0.76/0.84 | ~ c_in(V_K,c_Message_OsymKeys,tc_nat) % 0.76/0.84 | ~ c_NS__Shared__Mirabelle_Ons__sharedp(V_evs5) ) ). % 0.76/0.84 % 0.76/0.84 cnf(cls_ns__shared_ONS5_0,axiom, % 0.76/0.84 ( c_in(c_List_Olist_OCons(c_Event_Oevent_OSays(V_A,V_B,c_Message_Omsg_OCrypt(V_K,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(V_NB),c_Message_Omsg_ONonce(V_NB)))),V_evs5,tc_Event_Oevent),c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent)) % 0.76/0.84 | ~ c_in(c_Event_Oevent_OSays(V_S,V_A,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,V_A),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(V_NA),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(V_B),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,V_K),V_X))))),c_List_Oset(V_evs5,tc_Event_Oevent),tc_Event_Oevent) % 0.76/0.84 | ~ c_in(c_Event_Oevent_OSays(V_B_H,V_A,c_Message_Omsg_OCrypt(V_K,c_Message_Omsg_ONonce(V_NB))),c_List_Oset(V_evs5,tc_Event_Oevent),tc_Event_Oevent) % 0.76/0.84 | ~ c_in(V_K,c_Message_OsymKeys,tc_nat) % 0.76/0.84 | ~ c_in(V_evs5,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent)) ) ). % 0.76/0.84 % 0.76/0.84 cnf(cls_knows__Spy__Notes_0,axiom, % 0.76/0.84 ( c_Event_Oknows(c_Message_Oagent_OSpy,c_List_Olist_OCons(c_Event_Oevent_ONotes(V_A,V_X),V_evs,tc_Event_Oevent)) = c_Set_Oinsert(V_X,c_Event_Oknows(c_Message_Oagent_OSpy,V_evs),tc_Message_Omsg) % 0.76/0.84 | ~ c_in(V_A,c_Event_Obad,tc_Message_Oagent) ) ). % 0.76/0.84 % 0.76/0.84 cnf(cls_ns__sharedp_ONS4_0,axiom, % 0.76/0.84 ( c_NS__Shared__Mirabelle_Ons__sharedp(c_List_Olist_OCons(c_Event_Oevent_OSays(V_B,V_A,c_Message_Omsg_OCrypt(V_K,c_Message_Omsg_ONonce(V_NB))),V_evs4,tc_Event_Oevent)) % 0.76/0.84 | ~ c_in(c_Event_Oevent_OSays(V_A_H,V_B,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,V_B),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,V_K),c_Message_Omsg_OAgent(V_A)))),c_List_Oset(V_evs4,tc_Event_Oevent),tc_Event_Oevent) % 0.76/0.84 | ~ c_in(V_K,c_Message_OsymKeys,tc_nat) % 0.76/0.84 | c_in(c_Message_Omsg_ONonce(V_NB),c_Event_Oused(V_evs4),tc_Message_Omsg) % 0.76/0.84 | ~ c_NS__Shared__Mirabelle_Ons__sharedp(V_evs4) ) ). % 0.76/0.84 % 0.76/0.84 cnf(cls_ns__shared_ONS4_0,axiom, % 0.76/0.84 ( c_in(c_List_Olist_OCons(c_Event_Oevent_OSays(V_B,V_A,c_Message_Omsg_OCrypt(V_K,c_Message_Omsg_ONonce(V_NB))),V_evs4,tc_Event_Oevent),c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent)) % 0.76/0.84 | ~ c_in(c_Event_Oevent_OSays(V_A_H,V_B,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,V_B),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,V_K),c_Message_Omsg_OAgent(V_A)))),c_List_Oset(V_evs4,tc_Event_Oevent),tc_Event_Oevent) % 0.76/0.84 | ~ c_in(V_K,c_Message_OsymKeys,tc_nat) % 0.76/0.84 | c_in(c_Message_Omsg_ONonce(V_NB),c_Event_Oused(V_evs4),tc_Message_Omsg) % 0.76/0.84 | ~ c_in(V_evs4,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent)) ) ). % 0.76/0.84 % 0.76/0.84 cnf(cls_ns__sharedp_ONS2_0,axiom, % 0.76/0.84 ( c_NS__Shared__Mirabelle_Ons__sharedp(c_List_Olist_OCons(c_Event_Oevent_OSays(c_Message_Oagent_OServer,V_A,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,V_A),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(V_NA),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(V_B),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,V_KAB),c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,V_B),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,V_KAB),c_Message_Omsg_OAgent(V_A)))))))),V_evs2,tc_Event_Oevent)) % 0.76/0.84 | ~ c_in(c_Event_Oevent_OSays(V_A_H,c_Message_Oagent_OServer,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(V_A),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(V_B),c_Message_Omsg_ONonce(V_NA)))),c_List_Oset(V_evs2,tc_Event_Oevent),tc_Event_Oevent) % 0.76/0.84 | ~ c_in(V_KAB,c_Message_OsymKeys,tc_nat) % 0.76/0.84 | c_in(hAPP(c_Message_Omsg_OKey,V_KAB),c_Event_Oused(V_evs2),tc_Message_Omsg) % 0.76/0.84 | ~ c_NS__Shared__Mirabelle_Ons__sharedp(V_evs2) ) ). % 0.76/0.84 % 0.76/0.84 cnf(cls_spies__Notes__rev_1,axiom, % 0.76/0.84 ( c_Event_Oknows(c_Message_Oagent_OSpy,c_List_Oappend(V_evs,c_List_Olist_OCons(c_Event_Oevent_ONotes(V_A,V_X),c_List_Olist_ONil(tc_Event_Oevent),tc_Event_Oevent),tc_Event_Oevent)) = c_Event_Oknows(c_Message_Oagent_OSpy,V_evs) % 0.76/0.84 | c_in(V_A,c_Event_Obad,tc_Message_Oagent) ) ). % 0.76/0.84 % 0.76/0.84 cnf(cls_ns__shared_ONS2_0,axiom, % 0.76/0.84 ( c_in(c_List_Olist_OCons(c_Event_Oevent_OSays(c_Message_Oagent_OServer,V_A,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,V_A),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(V_NA),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(V_B),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,V_KAB),c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,V_B),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,V_KAB),c_Message_Omsg_OAgent(V_A)))))))),V_evs2,tc_Event_Oevent),c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent)) % 0.76/0.84 | ~ c_in(c_Event_Oevent_OSays(V_A_H,c_Message_Oagent_OServer,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(V_A),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(V_B),c_Message_Omsg_ONonce(V_NA)))),c_List_Oset(V_evs2,tc_Event_Oevent),tc_Event_Oevent) % 0.76/0.84 | ~ c_in(V_KAB,c_Message_OsymKeys,tc_nat) % 0.76/0.84 | c_in(hAPP(c_Message_Omsg_OKey,V_KAB),c_Event_Oused(V_evs2),tc_Message_Omsg) % 0.76/0.84 | ~ c_in(V_evs2,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent)) ) ). % 0.76/0.84 % 0.76/0.84 cnf(cls_knows__imp__Says__Gets__Notes__initState_0,axiom, % 0.76/0.84 ( c_in(V_X,c_Event_OinitState(V_A),tc_Message_Omsg) % 0.76/0.84 | c_in(c_Event_Oevent_ONotes(V_A,V_X),c_List_Oset(V_evs,tc_Event_Oevent),tc_Event_Oevent) % 0.76/0.84 | c_in(c_Event_Oevent_OGets(V_A,V_X),c_List_Oset(V_evs,tc_Event_Oevent),tc_Event_Oevent) % 0.76/0.84 | c_in(c_Event_Oevent_OSays(V_A,c_Event_Osko__Event__Xknows__imp__Says__Gets__Notes__initState__1__1(V_A,V_X,V_evs),V_X),c_List_Oset(V_evs,tc_Event_Oevent),tc_Event_Oevent) % 0.76/0.84 | V_A = c_Message_Oagent_OSpy % 0.76/0.84 | ~ c_in(V_X,c_Event_Oknows(V_A,V_evs),tc_Message_Omsg) ) ). % 0.76/0.84 % 0.76/0.84 cnf(cls_Spy__not__see__encrypted__key_0,axiom, % 0.76/0.84 ( ~ c_in(hAPP(c_Message_Omsg_OKey,V_K),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,V_evs)),tc_Message_Omsg) % 0.76/0.84 | ~ c_in(V_evs,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent)) % 0.76/0.84 | c_in(V_B,c_Event_Obad,tc_Message_Oagent) % 0.76/0.84 | c_in(V_A,c_Event_Obad,tc_Message_Oagent) % 0.76/0.84 | c_in(c_Event_Oevent_ONotes(c_Message_Oagent_OSpy,c_Message_Omsg_OMPair(V_NA,c_Message_Omsg_OMPair(v_sko__NS__Shared__Mirabelle__XSpy__not__see__encrypted__key__1(V_K,V_NA,V_evs),hAPP(c_Message_Omsg_OKey,V_K)))),c_List_Oset(V_evs,tc_Event_Oevent),tc_Event_Oevent) % 0.76/0.84 | ~ c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,V_A,c_Message_Omsg_OCrypt(V_K_H,c_Message_Omsg_OMPair(V_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(V_B),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,V_K),V_X))))),c_List_Oset(V_evs,tc_Event_Oevent),tc_Event_Oevent) ) ). % 0.76/0.84 % 0.76/0.84 cnf(cls_secrecy__lemma_0,axiom, % 0.76/0.84 ( ~ c_in(hAPP(c_Message_Omsg_OKey,V_K),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,V_evs)),tc_Message_Omsg) % 0.76/0.84 | c_in(c_Event_Oevent_ONotes(c_Message_Oagent_OSpy,c_Message_Omsg_OMPair(V_NA,c_Message_Omsg_OMPair(v_sko__NS__Shared__Mirabelle__Xsecrecy__lemma__1(V_K,V_NA,V_evs),hAPP(c_Message_Omsg_OKey,V_K)))),c_List_Oset(V_evs,tc_Event_Oevent),tc_Event_Oevent) % 0.76/0.84 | ~ c_in(V_evs,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent)) % 0.76/0.84 | c_in(V_B,c_Event_Obad,tc_Message_Oagent) % 0.76/0.84 | c_in(V_A,c_Event_Obad,tc_Message_Oagent) % 0.76/0.84 | ~ c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,V_A,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,V_A),c_Message_Omsg_OMPair(V_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(V_B),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,V_K),c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,V_B),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,V_K),c_Message_Omsg_OAgent(V_A)))))))),c_List_Oset(V_evs,tc_Event_Oevent),tc_Event_Oevent) ) ). % 0.76/0.84 % 0.76/0.84 cnf(cls_MPair__synth__analz_1,axiom, % 0.76/0.84 ( c_in(V_Y,c_Message_Osynth(c_Message_Oanalz(V_H)),tc_Message_Omsg) % 0.76/0.84 | ~ c_in(c_Message_Omsg_OMPair(V_X,V_Y),c_Message_Osynth(c_Message_Oanalz(V_H)),tc_Message_Omsg) ) ). % 0.76/0.84 % 0.76/0.84 cnf(cls_Crypt__notin__initState_0,axiom, % 0.76/0.84 ~ c_in(c_Message_Omsg_OCrypt(V_K,V_X),c_Message_Oparts(c_Event_OinitState(V_B)),tc_Message_Omsg) ). % 0.76/0.84 % 0.76/0.84 cnf(cls_Says__Server__message__form_1,axiom, % 0.76/0.84 ( V_X = c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,V_B),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,V_K),c_Message_Omsg_OAgent(V_A))) % 0.76/0.84 | ~ c_in(V_evs,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent)) % 0.76/0.84 | ~ c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,V_A,c_Message_Omsg_OCrypt(V_K_H,c_Message_Omsg_OMPair(V_N,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(V_B),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,V_K),V_X))))),c_List_Oset(V_evs,tc_Event_Oevent),tc_Event_Oevent) ) ). % 0.76/0.84 % 0.76/0.84 cnf(cls_unique__session__keys_3,axiom, % 0.76/0.84 ( V_X = V_X_H % 0.76/0.84 | ~ c_in(V_evs,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent)) % 0.76/0.84 | ~ c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,V_A_H,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,V_A_H),c_Message_Omsg_OMPair(V_NA_H,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(V_B_H),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,V_K),V_X_H))))),c_List_Oset(V_evs,tc_Event_Oevent),tc_Event_Oevent) % 0.76/0.84 | ~ c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,V_A,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,V_A),c_Message_Omsg_OMPair(V_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(V_B),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,V_K),V_X))))),c_List_Oset(V_evs,tc_Event_Oevent),tc_Event_Oevent) ) ). % 0.76/0.84 % 0.76/0.84 cnf(cls_unique__session__keys_2,axiom, % 0.76/0.84 ( V_B = V_B_H % 0.76/0.84 | ~ c_in(V_evs,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent)) % 0.76/0.84 | ~ c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,V_A_H,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,V_A_H),c_Message_Omsg_OMPair(V_NA_H,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(V_B_H),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,V_K),V_X_H))))),c_List_Oset(V_evs,tc_Event_Oevent),tc_Event_Oevent) % 0.76/0.84 | ~ c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,V_A,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,V_A),c_Message_Omsg_OMPair(V_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(V_B),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,V_K),V_X))))),c_List_Oset(V_evs,tc_Event_Oevent),tc_Event_Oevent) ) ). % 0.76/0.84 % 0.76/0.84 cnf(cls_unique__session__keys_1,axiom, % 0.76/0.84 ( V_NA = V_NA_H % 0.76/0.84 | ~ c_in(V_evs,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent)) % 0.76/0.84 | ~ c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,V_A_H,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,V_A_H),c_Message_Omsg_OMPair(V_NA_H,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(V_B_H),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,V_K),V_X_H))))),c_List_Oset(V_evs,tc_Event_Oevent),tc_Event_Oevent) % 0.76/0.84 | ~ c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,V_A,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,V_A),c_Message_Omsg_OMPair(V_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(V_B),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,V_K),V_X))))),c_List_Oset(V_evs,tc_Event_Oevent),tc_Event_Oevent) ) ). % 0.76/0.84 % 0.76/0.84 cnf(cls_unique__session__keys_0,axiom, % 0.76/0.84 ( V_A = V_A_H % 0.76/0.84 | ~ c_in(V_evs,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent)) % 0.76/0.84 | ~ c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,V_A_H,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,V_A_H),c_Message_Omsg_OMPair(V_NA_H,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(V_B_H),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,V_K),V_X_H))))),c_List_Oset(V_evs,tc_Event_Oevent),tc_Event_Oevent) % 0.76/0.84 | ~ c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,V_A,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,V_A),c_Message_Omsg_OMPair(V_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(V_B),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,V_K),V_X))))),c_List_Oset(V_evs,tc_Event_Oevent),tc_Event_Oevent) ) ). % 0.76/0.84 % 0.76/0.84 cnf(cls_Says__Server__message__form_2,axiom, % 0.76/0.84 ( V_K_H = hAPP(c_Public_OshrK,V_A) % 0.76/0.84 | ~ c_in(V_evs,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent)) % 0.76/0.84 | ~ c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,V_A,c_Message_Omsg_OCrypt(V_K_H,c_Message_Omsg_OMPair(V_N,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(V_B),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,V_K),V_X))))),c_List_Oset(V_evs,tc_Event_Oevent),tc_Event_Oevent) ) ). % 0.76/0.84 % 0.76/0.84 cnf(cls_ns__sharedp_OOops_0,axiom, % 0.76/0.84 ( c_NS__Shared__Mirabelle_Ons__sharedp(c_List_Olist_OCons(c_Event_Oevent_ONotes(c_Message_Oagent_OSpy,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(V_NA),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(V_NB),hAPP(c_Message_Omsg_OKey,V_K)))),V_evso,tc_Event_Oevent)) % 0.76/0.84 | ~ c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,V_A,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,V_A),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(V_NA),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(V_B),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,V_K),V_X))))),c_List_Oset(V_evso,tc_Event_Oevent),tc_Event_Oevent) % 0.76/0.84 | ~ c_in(c_Event_Oevent_OSays(V_B,V_A,c_Message_Omsg_OCrypt(V_K,c_Message_Omsg_ONonce(V_NB))),c_List_Oset(V_evso,tc_Event_Oevent),tc_Event_Oevent) % 0.76/0.84 | ~ c_NS__Shared__Mirabelle_Ons__sharedp(V_evso) ) ). % 0.76/0.84 % 0.76/0.84 cnf(cls_knows__Nil_0,axiom, % 0.76/0.84 c_Event_Oknows(V_A,c_List_Olist_ONil(tc_Event_Oevent)) = c_Event_OinitState(V_A) ). % 0.76/0.84 % 0.76/0.84 cnf(cls_ns__shared_ONS3_0,axiom, % 0.76/0.84 ( c_in(c_List_Olist_OCons(c_Event_Oevent_OSays(V_A,V_B,V_X),V_evs3,tc_Event_Oevent),c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent)) % 0.76/0.84 | ~ c_in(c_Event_Oevent_OSays(V_A,c_Message_Oagent_OServer,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(V_A),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(V_B),c_Message_Omsg_ONonce(V_NA)))),c_List_Oset(V_evs3,tc_Event_Oevent),tc_Event_Oevent) % 0.76/0.84 | ~ c_in(c_Event_Oevent_OSays(V_S,V_A,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,V_A),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(V_NA),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(V_B),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,V_K),V_X))))),c_List_Oset(V_evs3,tc_Event_Oevent),tc_Event_Oevent) % 0.76/0.84 | V_A = c_Message_Oagent_OServer % 0.76/0.84 | ~ c_in(V_evs3,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent)) ) ). % 0.76/0.84 % 0.76/0.84 cnf(cls_Server__not__bad_0,axiom, % 0.76/0.84 ~ c_in(c_Message_Oagent_OServer,c_Event_Obad,tc_Message_Oagent) ). % 0.76/0.84 % 0.76/0.84 cnf(cls_knows__Spy__Notes_1,axiom, % 0.76/0.84 ( c_Event_Oknows(c_Message_Oagent_OSpy,c_List_Olist_OCons(c_Event_Oevent_ONotes(V_A,V_X),V_evs,tc_Event_Oevent)) = c_Event_Oknows(c_Message_Oagent_OSpy,V_evs) % 0.76/0.84 | c_in(V_A,c_Event_Obad,tc_Message_Oagent) ) ). % 0.76/0.84 % 0.76/0.84 cnf(cls_ns__shared_OOops_0,axiom, % 0.76/0.84 ( c_in(c_List_Olist_OCons(c_Event_Oevent_ONotes(c_Message_Oagent_OSpy,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(V_NA),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(V_NB),hAPP(c_Message_Omsg_OKey,V_K)))),V_evso,tc_Event_Oevent),c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent)) % 0.76/0.84 | ~ c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,V_A,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,V_A),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(V_NA),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(V_B),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,V_K),V_X))))),c_List_Oset(V_evso,tc_Event_Oevent),tc_Event_Oevent) % 0.76/0.84 | ~ c_in(c_Event_Oevent_OSays(V_B,V_A,c_Message_Omsg_OCrypt(V_K,c_Message_Omsg_ONonce(V_NB))),c_List_Oset(V_evso,tc_Event_Oevent),tc_Event_Oevent) % 0.76/0.84 | ~ c_in(V_evso,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent)) ) ). % 0.76/0.84 % 0.76/0.84 cnf(cls_analz__mono__contra_I3_J_0,axiom, % 0.76/0.84 ( ~ c_in(V_c,c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,V_evs)),tc_Message_Omsg) % 0.76/0.84 | c_in(V_c,c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,c_List_Olist_OCons(c_Event_Oevent_OGets(V_A,V_X),V_evs,tc_Event_Oevent))),tc_Message_Omsg) ) ). % 0.76/0.84 % 0.76/0.84 cnf(cls_analz__mono__contra_I2_J_0,axiom, % 0.76/0.84 ( ~ c_in(V_c,c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,V_evs)),tc_Message_Omsg) % 0.76/0.84 | c_in(V_c,c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,c_List_Olist_OCons(c_Event_Oevent_ONotes(V_A,V_X),V_evs,tc_Event_Oevent))),tc_Message_Omsg) ) ). % 0.76/0.84 % 0.76/0.84 cnf(cls_analz__image__Key_0,axiom, % 0.76/0.84 c_Message_Oanalz(c_Set_Oimage(c_Message_Omsg_OKey,V_N,tc_nat,tc_Message_Omsg)) = c_Set_Oimage(c_Message_Omsg_OKey,V_N,tc_nat,tc_Message_Omsg) ). % 0.76/0.84 % 0.76/0.84 cnf(cls_Nonce__synth_0,axiom, % 0.76/0.84 ( c_in(c_Message_Omsg_ONonce(V_n),V_H,tc_Message_Omsg) % 0.76/0.84 | ~ c_in(c_Message_Omsg_ONonce(V_n),c_Message_Osynth(V_H),tc_Message_Omsg) ) ). % 0.76/0.84 % 0.76/0.84 cnf(cls_Nonce__synth__eq_0,axiom, % 0.76/0.84 ( c_in(c_Message_Omsg_ONonce(V_N),V_H,tc_Message_Omsg) % 0.76/0.84 | ~ c_in(c_Message_Omsg_ONonce(V_N),c_Message_Osynth(V_H),tc_Message_Omsg) ) ). % 0.76/0.84 % 0.76/0.84 cnf(cls_Nonce__synth__eq_1,axiom, % 0.76/0.84 ( c_in(c_Message_Omsg_ONonce(V_N),c_Message_Osynth(V_H),tc_Message_Omsg) % 0.76/0.84 | ~ c_in(c_Message_Omsg_ONonce(V_N),V_H,tc_Message_Omsg) ) ). % 0.76/0.84 % 0.76/0.84 cnf(cls_Agent__synth_0,axiom, % 0.76/0.84 c_in(c_Message_Omsg_OAgent(V_A),c_Message_Osynth(V_H),tc_Message_Omsg) ). % 0.76/0.84 % 0.76/0.84 cnf(cls_synth_OAgent_0,axiom, % 0.76/0.84 c_in(c_Message_Omsg_OAgent(V_agt),c_Message_Osynth(V_H),tc_Message_Omsg) ). % 0.76/0.84 % 0.76/0.84 cnf(cls_parts__image__Key_0,axiom, % 0.76/0.84 c_Message_Oparts(c_Set_Oimage(c_Message_Omsg_OKey,V_N,tc_nat,tc_Message_Omsg)) = c_Set_Oimage(c_Message_Omsg_OKey,V_N,tc_nat,tc_Message_Omsg) ). % 0.76/0.84 % 0.76/0.84 cnf(cls_Crypt__synth__analz_0,axiom, % 0.76/0.84 ( c_in(V_X,c_Message_Osynth(c_Message_Oanalz(V_H)),tc_Message_Omsg) % 0.76/0.84 | ~ c_in(c_Message_Omsg_OCrypt(V_K,V_X),c_Message_Osynth(c_Message_Oanalz(V_H)),tc_Message_Omsg) % 0.76/0.84 | ~ c_in(hAPP(c_Message_Omsg_OKey,hAPP(c_Message_OinvKey,V_K)),c_Message_Oanalz(V_H),tc_Message_Omsg) % 0.76/0.84 | ~ c_in(hAPP(c_Message_Omsg_OKey,V_K),c_Message_Oanalz(V_H),tc_Message_Omsg) ) ). % 0.76/0.84 % 0.76/0.84 cnf(cls_Crypt__synth__analz_1,axiom, % 0.76/0.84 ( c_in(c_Message_Omsg_OCrypt(V_K,V_X),c_Message_Osynth(c_Message_Oanalz(V_H)),tc_Message_Omsg) % 0.76/0.84 | ~ c_in(V_X,c_Message_Osynth(c_Message_Oanalz(V_H)),tc_Message_Omsg) % 0.76/0.84 | ~ c_in(hAPP(c_Message_Omsg_OKey,hAPP(c_Message_OinvKey,V_K)),c_Message_Oanalz(V_H),tc_Message_Omsg) % 0.76/0.84 | ~ c_in(hAPP(c_Message_Omsg_OKey,V_K),c_Message_Oanalz(V_H),tc_Message_Omsg) ) ). % 0.76/0.84 % 0.76/0.84 cnf(cls_Key__synth_0,axiom, % 0.76/0.84 ( c_in(hAPP(c_Message_Omsg_OKey,V_K),V_H,tc_Message_Omsg) % 0.76/0.84 | ~ c_in(hAPP(c_Message_Omsg_OKey,V_K),c_Message_Osynth(V_H),tc_Message_Omsg) ) ). % 0.76/0.84 % 0.76/0.84 cnf(cls_Key__synth__eq_1,axiom, % 0.76/0.84 ( c_in(hAPP(c_Message_Omsg_OKey,V_K),c_Message_Osynth(V_H),tc_Message_Omsg) % 0.76/0.84 | ~ c_in(hAPP(c_Message_Omsg_OKey,V_K),V_H,tc_Message_Omsg) ) ). % 0.76/0.84 % 0.76/0.84 cnf(cls_Crypt__synth_0,axiom, % 0.76/0.84 ( c_in(V_X,c_Message_Osynth(V_H),tc_Message_Omsg) % 0.76/0.84 | c_in(c_Message_Omsg_OCrypt(V_K,V_X),V_H,tc_Message_Omsg) % 0.76/0.84 | ~ c_in(c_Message_Omsg_OCrypt(V_K,V_X),c_Message_Osynth(V_H),tc_Message_Omsg) ) ). % 0.76/0.84 % 0.76/0.84 cnf(cls_MPair__synth_0,axiom, % 0.76/0.84 ( c_in(V_X,c_Message_Osynth(V_H),tc_Message_Omsg) % 0.76/0.84 | c_in(c_Message_Omsg_OMPair(V_X,V_Y),V_H,tc_Message_Omsg) % 0.76/0.84 | ~ c_in(c_Message_Omsg_OMPair(V_X,V_Y),c_Message_Osynth(V_H),tc_Message_Omsg) ) ). % 0.76/0.84 % 0.76/0.84 cnf(cls_MPair__synth_1,axiom, % 0.76/0.84 ( c_in(V_Y,c_Message_Osynth(V_H),tc_Message_Omsg) % 0.76/0.84 | c_in(c_Message_Omsg_OMPair(V_X,V_Y),V_H,tc_Message_Omsg) % 0.76/0.84 | ~ c_in(c_Message_Omsg_OMPair(V_X,V_Y),c_Message_Osynth(V_H),tc_Message_Omsg) ) ). % 0.76/0.84 % 0.76/0.84 cnf(cls_synth_OMPair_0,axiom, % 0.76/0.84 ( c_in(c_Message_Omsg_OMPair(V_X,V_Y),c_Message_Osynth(V_H),tc_Message_Omsg) % 0.76/0.84 | ~ c_in(V_Y,c_Message_Osynth(V_H),tc_Message_Omsg) % 0.76/0.84 | ~ c_in(V_X,c_Message_Osynth(V_H),tc_Message_Omsg) ) ). % 0.76/0.84 % 0.76/0.84 cnf(cls_MPair__used_0,axiom, % 0.76/0.84 ( c_in(V_X,c_Event_Oused(V_H),tc_Message_Omsg) % 0.76/0.84 | ~ c_in(c_Message_Omsg_OMPair(V_X,V_Y),c_Event_Oused(V_H),tc_Message_Omsg) ) ). % 0.76/0.84 % 0.76/0.84 cnf(cls_MPair__used_1,axiom, % 0.76/0.84 ( c_in(V_Y,c_Event_Oused(V_H),tc_Message_Omsg) % 0.76/0.84 | ~ c_in(c_Message_Omsg_OMPair(V_X,V_Y),c_Event_Oused(V_H),tc_Message_Omsg) ) ). % 0.76/0.84 % 0.76/0.84 cnf(cls_set__ConsD_0,axiom, % 0.76/0.84 ( c_in(V_y,c_List_Oset(V_xs,T_a),T_a) % 0.76/0.84 | V_y = V_x % 0.76/0.84 | ~ c_in(V_y,c_List_Oset(c_List_Olist_OCons(V_x,V_xs,T_a),T_a),T_a) ) ). % 0.76/0.84 % 0.76/0.84 cnf(cls_ns__sharedp_OFake_0,axiom, % 0.76/0.84 ( c_NS__Shared__Mirabelle_Ons__sharedp(c_List_Olist_OCons(c_Event_Oevent_OSays(c_Message_Oagent_OSpy,V_B,V_X),V_evsf,tc_Event_Oevent)) % 0.76/0.84 | ~ c_in(V_X,c_Message_Osynth(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,V_evsf))),tc_Message_Omsg) % 0.76/0.84 | ~ c_NS__Shared__Mirabelle_Ons__sharedp(V_evsf) ) ). % 0.76/0.84 % 0.76/0.84 cnf(cls_Notes__imp__used_0,axiom, % 0.76/0.84 ( c_in(V_X,c_Event_Oused(V_evs),tc_Message_Omsg) % 0.76/0.84 | ~ c_in(c_Event_Oevent_ONotes(V_A,V_X),c_List_Oset(V_evs,tc_Event_Oevent),tc_Event_Oevent) ) ). % 0.76/0.84 % 0.76/0.84 cnf(cls_ns__sharedp_ONil_0,axiom, % 0.76/0.84 c_NS__Shared__Mirabelle_Ons__sharedp(c_List_Olist_ONil(tc_Event_Oevent)) ). % 0.76/0.84 % 0.76/0.84 cnf(cls_ns__shared_OFake_0,axiom, % 0.76/0.84 ( c_in(c_List_Olist_OCons(c_Event_Oevent_OSays(c_Message_Oagent_OSpy,V_B,V_X),V_evsf,tc_Event_Oevent),c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent)) % 0.76/0.84 | ~ c_in(V_X,c_Message_Osynth(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,V_evsf))),tc_Message_Omsg) % 0.76/0.84 | ~ c_in(V_evsf,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent)) ) ). % 0.76/0.84 % 0.76/0.84 cnf(cls_ns__sharedp_ONS1_0,axiom, % 0.76/0.84 ( c_NS__Shared__Mirabelle_Ons__sharedp(c_List_Olist_OCons(c_Event_Oevent_OSays(V_A,c_Message_Oagent_OServer,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(V_A),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(V_B),c_Message_Omsg_ONonce(V_NA)))),V_evs1,tc_Event_Oevent)) % 0.76/0.84 | c_in(c_Message_Omsg_ONonce(V_NA),c_Event_Oused(V_evs1),tc_Message_Omsg) % 0.76/0.84 | ~ c_NS__Shared__Mirabelle_Ons__sharedp(V_evs1) ) ). % 0.76/0.84 % 0.76/0.84 cnf(cls_invKey__shrK_0,axiom, % 0.76/0.84 hAPP(c_Message_OinvKey,hAPP(c_Public_OshrK,V_A)) = hAPP(c_Public_OshrK,V_A) ). % 0.76/0.84 % 0.76/0.84 cnf(cls_shrK__neq__pubK_0,axiom, % 0.76/0.84 hAPP(c_Public_OpublicKey(V_b),V_C) != hAPP(c_Public_OshrK,V_A) ). % 0.76/0.84 % 0.76/0.84 cnf(cls_pubK__neq__shrK_0,axiom, % 0.76/0.84 hAPP(c_Public_OshrK,V_A) != hAPP(c_Public_OpublicKey(V_b),V_C) ). % 0.76/0.84 % 0.76/0.84 cnf(cls_event_Osimps_I7_J_0,axiom, % 0.76/0.84 c_Event_Oevent_ONotes(V_agent_H,V_msg_H) != c_Event_Oevent_OSays(V_agent1,V_agent2,V_msg) ). % 0.76/0.84 % 0.76/0.84 cnf(cls_event_Osimps_I5_J_0,axiom, % 0.76/0.84 c_Event_Oevent_OGets(V_agent_H,V_msg_H) != c_Event_Oevent_OSays(V_agent1,V_agent2,V_msg) ). % 0.76/0.84 % 0.76/0.84 cnf(cls_event_Osimps_I6_J_0,axiom, % 0.76/0.84 c_Event_Oevent_OSays(V_agent1,V_agent2,V_msg) != c_Event_Oevent_ONotes(V_agent_H,V_msg_H) ). % 0.76/0.84 % 0.76/0.84 cnf(cls_event_Osimps_I4_J_0,axiom, % 0.76/0.84 c_Event_Oevent_OSays(V_agent1,V_agent2,V_msg) != c_Event_Oevent_OGets(V_agent_H,V_msg_H) ). % 0.76/0.84 % 0.76/0.84 cnf(cls_knows__Spy__Gets_0,axiom, % 0.76/0.84 c_Event_Oknows(c_Message_Oagent_OSpy,c_List_Olist_OCons(c_Event_Oevent_OGets(V_A,V_X),V_evs,tc_Event_Oevent)) = c_Event_Oknows(c_Message_Oagent_OSpy,V_evs) ). % 0.76/0.84 % 0.76/0.84 cnf(cls_agent_Osimps_I5_J_0,axiom, % 0.76/0.84 c_Message_Oagent_OSpy != c_Message_Oagent_OServer ). % 0.76/0.84 % 0.76/0.84 cnf(cls_agent_Osimps_I4_J_0,axiom, % 0.76/0.84 c_Message_Oagent_OServer != c_Message_Oagent_OSpy ). % 0.76/0.84 % 0.76/0.84 cnf(cls_ns__shared_ONS1_0,axiom, % 0.76/0.84 ( c_in(c_List_Olist_OCons(c_Event_Oevent_OSays(V_A,c_Message_Oagent_OServer,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(V_A),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(V_B),c_Message_Omsg_ONonce(V_NA)))),V_evs1,tc_Event_Oevent),c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent)) % 0.76/0.84 | c_in(c_Message_Omsg_ONonce(V_NA),c_Event_Oused(V_evs1),tc_Message_Omsg) % 0.76/0.84 | ~ c_in(V_evs1,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent)) ) ). % 0.76/0.84 % 0.76/0.84 cnf(cls_publicKey__in__initState_0,axiom, % 0.76/0.84 c_in(hAPP(c_Message_Omsg_OKey,hAPP(c_Public_OpublicKey(V_b),V_A)),c_Event_OinitState(V_B),tc_Message_Omsg) ). % 0.76/0.84 % 0.76/0.84 cnf(cls_publicKey__into__used_0,axiom, % 0.76/0.84 c_in(hAPP(c_Message_Omsg_OKey,hAPP(c_Public_OpublicKey(V_b),V_A)),c_Event_Oused(V_evs),tc_Message_Omsg) ). % 0.76/0.84 % 0.76/0.84 cnf(cls_initState__into__used_0,axiom, % 0.76/0.84 ( c_in(V_X,c_Event_Oused(V_evs),tc_Message_Omsg) % 0.76/0.84 | ~ c_in(V_X,c_Message_Oparts(c_Event_OinitState(V_B)),tc_Message_Omsg) ) ). % 0.76/0.84 % 0.76/0.84 cnf(cls_list_Osimps_I3_J_0,axiom, % 0.76/0.84 c_List_Olist_OCons(V_a_H,V_list_H,T_a) != c_List_Olist_ONil(T_a) ). % 0.76/0.84 % 0.76/0.84 cnf(cls_neq__Nil__conv_1,axiom, % 0.76/0.84 c_List_Olist_OCons(V_x,V_xa,T_a) != c_List_Olist_ONil(T_a) ). % 0.76/0.84 % 0.76/0.84 cnf(cls_list_Osimps_I2_J_0,axiom, % 0.76/0.84 c_List_Olist_ONil(T_a) != c_List_Olist_OCons(V_a_H,V_list_H,T_a) ). % 0.76/0.84 % 0.76/0.84 cnf(cls_synth__synthD_0,axiom, % 0.76/0.84 ( c_in(V_X,c_Message_Osynth(V_H),tc_Message_Omsg) % 0.76/0.84 | ~ c_in(V_X,c_Message_Osynth(c_Message_Osynth(V_H)),tc_Message_Omsg) ) ). % 0.76/0.84 % 0.76/0.84 cnf(cls_synth_OInj_0,axiom, % 0.76/0.84 ( c_in(V_X,c_Message_Osynth(V_H),tc_Message_Omsg) % 0.76/0.84 | ~ c_in(V_X,V_H,tc_Message_Omsg) ) ). % 0.76/0.84 % 0.76/0.84 cnf(cls_imageI_0,axiom, % 0.76/0.84 ( c_in(hAPP(V_f,V_x),c_Set_Oimage(V_f,V_A,T_a,T_b),T_b) % 0.76/0.84 | ~ c_in(V_x,V_A,T_a) ) ). % 0.76/0.84 % 0.76/0.84 cnf(cls_image__eqI_0,axiom, % 0.76/0.84 ( c_in(hAPP(V_f,V_x),c_Set_Oimage(V_f,V_A,T_b,T_a),T_a) % 0.76/0.84 | ~ c_in(V_x,V_A,T_b) ) ). % 0.76/0.84 % 0.76/0.84 cnf(cls_image__iff_2,axiom, % 0.76/0.84 ( ~ c_in(V_x,V_A,T_b) % 0.76/0.84 | c_in(hAPP(V_f,V_x),c_Set_Oimage(V_f,V_A,T_b,T_a),T_a) ) ). % 0.76/0.84 % 0.76/0.84 cnf(cls_rev__image__eqI_0,axiom, % 0.76/0.84 ( ~ c_in(V_x,V_A,T_aa) % 0.76/0.84 | c_in(hAPP(V_f,V_x),c_Set_Oimage(V_f,V_A,T_aa,T_a),T_a) ) ). % 0.76/0.84 % 0.76/0.84 cnf(cls_privateKey__into__used_0,axiom, % 0.76/0.84 c_in(hAPP(c_Message_Omsg_OKey,hAPP(c_Message_OinvKey,hAPP(c_Public_OpublicKey(V_b),V_A))),c_Event_Oused(V_evs),tc_Message_Omsg) ). % 0.76/0.84 % 0.76/0.84 cnf(cls_not__Cons__self_0,axiom, % 0.76/0.84 V_xs != c_List_Olist_OCons(V_x,V_xs,T_a) ). % 0.76/0.84 % 0.76/0.84 cnf(cls_not__Cons__self2_0,axiom, % 0.76/0.84 c_List_Olist_OCons(V_x,V_t,T_a) != V_t ). % 0.76/0.84 % 0.76/0.84 cnf(cls_synth__idem_0,axiom, % 0.76/0.84 c_Message_Osynth(c_Message_Osynth(V_H)) = c_Message_Osynth(V_H) ). % 0.76/0.84 % 0.76/0.84 cnf(cls_priK__in__initState_0,axiom, % 0.76/0.84 c_in(hAPP(c_Message_Omsg_OKey,hAPP(c_Message_OinvKey,hAPP(c_Public_OpublicKey(V_b),V_A))),c_Event_OinitState(V_A),tc_Message_Omsg) ). % 0.76/0.84 % 0.76/0.84 cnf(cls_publicKey__inject_0,axiom, % 0.76/0.84 ( hAPP(c_Public_OpublicKey(V_b),V_A) != hAPP(c_Public_OpublicKey(V_c),V_A_H) % 0.76/0.84 | V_b = V_c ) ). % 0.76/0.84 % 0.76/0.84 cnf(cls_publicKey__inject_1,axiom, % 0.76/0.84 ( hAPP(c_Public_OpublicKey(V_b),V_A) != hAPP(c_Public_OpublicKey(V_c),V_A_H) % 0.76/0.84 | V_A = V_A_H ) ). % 0.76/0.84 % 0.76/0.84 cnf(cls_privateKey__neq__publicKey_0,axiom, % 0.76/0.84 hAPP(c_Message_OinvKey,hAPP(c_Public_OpublicKey(V_b),V_A)) != hAPP(c_Public_OpublicKey(V_c),V_A_H) ). % 0.76/0.84 % 0.76/0.84 cnf(cls_invKey__eq_0,axiom, % 0.76/0.84 ( hAPP(c_Message_OinvKey,V_K) != hAPP(c_Message_OinvKey,V_K_H) % 0.76/0.84 | V_K = V_K_H ) ). % 0.76/0.84 % 0.76/0.84 cnf(cls_event_Osimps_I2_J_1,axiom, % 0.76/0.84 ( c_Event_Oevent_OGets(V_agent,V_msg) != c_Event_Oevent_OGets(V_agent_H,V_msg_H) % 0.76/0.84 | V_msg = V_msg_H ) ). % 0.76/0.84 % 0.76/0.84 cnf(cls_event_Osimps_I2_J_0,axiom, % 0.76/0.84 ( c_Event_Oevent_OGets(V_agent,V_msg) != c_Event_Oevent_OGets(V_agent_H,V_msg_H) % 0.76/0.84 | V_agent = V_agent_H ) ). % 0.76/0.84 % 0.76/0.84 cnf(cls_event_Osimps_I8_J_0,axiom, % 0.76/0.84 c_Event_Oevent_OGets(V_agent,V_msg) != c_Event_Oevent_ONotes(V_agent_H,V_msg_H) ). % 0.76/0.84 % 0.76/0.84 cnf(cls_event_Osimps_I3_J_1,axiom, % 0.76/0.84 ( c_Event_Oevent_ONotes(V_agent,V_msg) != c_Event_Oevent_ONotes(V_agent_H,V_msg_H) % 0.76/0.84 | V_msg = V_msg_H ) ). % 0.76/0.84 % 0.76/0.84 cnf(cls_event_Osimps_I3_J_0,axiom, % 0.76/0.84 ( c_Event_Oevent_ONotes(V_agent,V_msg) != c_Event_Oevent_ONotes(V_agent_H,V_msg_H) % 0.76/0.84 | V_agent = V_agent_H ) ). % 0.76/0.84 % 0.76/0.84 cnf(cls_invKey_0,axiom, % 0.76/0.84 hAPP(c_Message_OinvKey,hAPP(c_Message_OinvKey,V_K)) = V_K ). % 0.76/0.84 % 0.76/0.84 cnf(cls_event_Osimps_I9_J_0,axiom, % 0.76/0.84 c_Event_Oevent_ONotes(V_agent_H,V_msg_H) != c_Event_Oevent_OGets(V_agent,V_msg) ). % 0.76/0.84 % 0.76/0.84 cnf(cls_list_Oinject_0,axiom, % 0.76/0.84 ( c_List_Olist_OCons(V_a,V_list,T_a) != c_List_Olist_OCons(V_a_H,V_list_H,T_a) % 0.76/0.84 | V_a = V_a_H ) ). % 0.76/0.84 % 0.76/0.84 cnf(cls_list_Oinject_1,axiom, % 0.76/0.84 ( c_List_Olist_OCons(V_a,V_list,T_a) != c_List_Olist_OCons(V_a_H,V_list_H,T_a) % 0.76/0.84 | V_list = V_list_H ) ). % 0.76/0.84 % 0.76/0.84 cnf(cls_priK__neq__shrK_0,axiom, % 0.76/0.84 hAPP(c_Public_OshrK,V_A) != hAPP(c_Message_OinvKey,hAPP(c_Public_OpublicKey(V_b),V_C)) ). % 0.76/0.84 % 0.76/0.84 cnf(cls_ns__shared_ONil_0,axiom, % 0.76/0.84 c_in(c_List_Olist_ONil(tc_Event_Oevent),c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent)) ). % 0.76/0.84 % 0.76/0.84 cnf(cls_used__Gets_0,axiom, % 0.76/0.84 c_Event_Oused(c_List_Olist_OCons(c_Event_Oevent_OGets(V_A,V_X),V_evs,tc_Event_Oevent)) = c_Event_Oused(V_evs) ). % 0.76/0.84 % 0.76/0.84 cnf(cls_shrK__neq__priK_0,axiom, % 0.76/0.84 hAPP(c_Message_OinvKey,hAPP(c_Public_OpublicKey(V_b),V_C)) != hAPP(c_Public_OshrK,V_A) ). % 0.76/0.84 % 0.76/0.84 cnf(cls_publicKey__neq__privateKey_0,axiom, % 0.76/0.84 hAPP(c_Public_OpublicKey(V_c),V_A_H) != hAPP(c_Message_OinvKey,hAPP(c_Public_OpublicKey(V_b),V_A)) ). % 0.76/0.84 % 0.76/0.84 cnf(cls_MPair__synth__analz_0,axiom, % 0.76/0.84 ( c_in(V_X,c_Message_Osynth(c_Message_Oanalz(V_H)),tc_Message_Omsg) % 0.76/0.84 | ~ c_in(c_Message_Omsg_OMPair(V_X,V_Y),c_Message_Osynth(c_Message_Oanalz(V_H)),tc_Message_Omsg) ) ). % 0.76/0.84 % 0.76/0.84 cnf(cls_MPair__synth__analz_2,axiom, % 0.76/0.84 ( c_in(c_Message_Omsg_OMPair(V_X,V_Y),c_Message_Osynth(c_Message_Oanalz(V_H)),tc_Message_Omsg) % 0.76/0.84 | ~ c_in(V_Y,c_Message_Osynth(c_Message_Oanalz(V_H)),tc_Message_Omsg) % 0.76/0.84 | ~ c_in(V_X,c_Message_Osynth(c_Message_Oanalz(V_H)),tc_Message_Omsg) ) ). % 0.76/0.84 % 0.76/0.84 cnf(cls_Crypt__notin__image__Key_0,axiom, % 0.76/0.84 ~ c_in(c_Message_Omsg_OCrypt(V_K,V_X),c_Set_Oimage(c_Message_Omsg_OKey,V_A,tc_nat,tc_Message_Omsg),tc_Message_Omsg) ). % 0.76/0.84 % 0.76/0.84 cnf(cls_Crypt__synth__eq_1,axiom, % 0.76/0.84 ( c_in(c_Message_Omsg_OCrypt(V_K,V_X),c_Message_Osynth(V_H),tc_Message_Omsg) % 0.76/0.84 | ~ c_in(c_Message_Omsg_OCrypt(V_K,V_X),V_H,tc_Message_Omsg) % 0.76/0.84 | c_in(hAPP(c_Message_Omsg_OKey,V_K),V_H,tc_Message_Omsg) ) ). % 0.76/0.84 % 0.76/0.84 cnf(cls_Crypt__synth__eq_0,axiom, % 0.76/0.84 ( c_in(c_Message_Omsg_OCrypt(V_K,V_X),V_H,tc_Message_Omsg) % 0.76/0.84 | ~ c_in(c_Message_Omsg_OCrypt(V_K,V_X),c_Message_Osynth(V_H),tc_Message_Omsg) % 0.76/0.84 | c_in(hAPP(c_Message_Omsg_OKey,V_K),V_H,tc_Message_Omsg) ) ). % 0.76/0.84 % 0.76/0.84 cnf(cls_Crypt__synth_1,axiom, % 0.76/0.84 ( c_in(hAPP(c_Message_Omsg_OKey,V_K),V_H,tc_Message_Omsg) % 0.76/0.84 | c_in(c_Message_Omsg_OCrypt(V_K,V_X),V_H,tc_Message_Omsg) % 0.76/0.84 | ~ c_in(c_Message_Omsg_OCrypt(V_K,V_X),c_Message_Osynth(V_H),tc_Message_Omsg) ) ). % 0.76/0.84 % 0.76/0.84 cnf(cls_synth_OCrypt_0,axiom, % 0.76/0.84 ( c_in(c_Message_Omsg_OCrypt(V_K,V_X),c_Message_Osynth(V_H),tc_Message_Omsg) % 0.76/0.84 | ~ c_in(hAPP(c_Message_Omsg_OKey,V_K),V_H,tc_Message_Omsg) % 0.76/0.84 | ~ c_in(V_X,c_Message_Osynth(V_H),tc_Message_Omsg) ) ). % 0.76/0.84 % 0.76/0.84 cnf(cls_Nonce__notin__initState_0,axiom, % 0.76/0.84 ~ c_in(c_Message_Omsg_ONonce(V_N),c_Message_Oparts(c_Event_OinitState(V_B)),tc_Message_Omsg) ). % 0.76/0.84 % 0.76/0.84 cnf(cls_Nonce__Key__image__eq_0,axiom, % 0.76/0.84 ~ c_in(c_Message_Omsg_ONonce(V_x),c_Set_Oimage(c_Message_Omsg_OKey,V_A,tc_nat,tc_Message_Omsg),tc_Message_Omsg) ). % 0.76/0.84 % 0.76/0.84 cnf(cls_shrK__in__initState_0,axiom, % 0.76/0.84 c_in(hAPP(c_Message_Omsg_OKey,hAPP(c_Public_OshrK,V_A)),c_Event_OinitState(V_A),tc_Message_Omsg) ). % 0.76/0.84 % 0.76/0.84 cnf(cls_shrK__in__used_0,axiom, % 0.76/0.84 c_in(hAPP(c_Message_Omsg_OKey,hAPP(c_Public_OshrK,V_A)),c_Event_Oused(V_evs),tc_Message_Omsg) ). % 0.76/0.84 % 0.76/0.84 cnf(cls_neq__shrK_0,axiom, % 0.76/0.84 c_in(hAPP(c_Message_Omsg_OKey,hAPP(c_Public_OshrK,V_B)),c_Event_Oused(V_evs),tc_Message_Omsg) ). % 0.76/0.84 % 0.76/0.84 cnf(cls_ns__sharedp_ONS3_0,axiom, % 0.76/0.84 ( c_NS__Shared__Mirabelle_Ons__sharedp(c_List_Olist_OCons(c_Event_Oevent_OSays(V_A,V_B,V_X),V_evs3,tc_Event_Oevent)) % 0.76/0.84 | ~ c_in(c_Event_Oevent_OSays(V_A,c_Message_Oagent_OServer,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(V_A),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(V_B),c_Message_Omsg_ONonce(V_NA)))),c_List_Oset(V_evs3,tc_Event_Oevent),tc_Event_Oevent) % 0.76/0.84 | ~ c_in(c_Event_Oevent_OSays(V_S,V_A,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,V_A),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(V_NA),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(V_B),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,V_K),V_X))))),c_List_Oset(V_evs3,tc_Event_Oevent),tc_Event_Oevent) % 0.76/0.84 | V_A = c_Message_Oagent_OServer % 0.76/0.84 | ~ c_NS__Shared__Mirabelle_Ons__sharedp(V_evs3) ) ). % 0.76/0.84 % 0.76/0.84 cnf(cls_B__trusts__NS5_0,axiom, % 0.76/0.84 ( c_in(c_Event_Oevent_OSays(V_A,V_B,c_Message_Omsg_OCrypt(V_K,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(V_NB),c_Message_Omsg_ONonce(V_NB)))),c_List_Oset(V_evs,tc_Event_Oevent),tc_Event_Oevent) % 0.76/0.84 | ~ c_in(V_evs,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent)) % 0.76/0.84 | c_in(V_B,c_Event_Obad,tc_Message_Oagent) % 0.76/0.84 | c_in(V_A,c_Event_Obad,tc_Message_Oagent) % 0.76/0.84 | c_in(c_Event_Oevent_ONotes(c_Message_Oagent_OSpy,c_Message_Omsg_OMPair(v_sko__NS__Shared__Mirabelle__XB__trusts__NS5__1(V_K,V_evs),c_Message_Omsg_OMPair(v_sko__NS__Shared__Mirabelle__XB__trusts__NS5__2(V_K,V_evs),hAPP(c_Message_Omsg_OKey,V_K)))),c_List_Oset(V_evs,tc_Event_Oevent),tc_Event_Oevent) % 0.76/0.84 | ~ c_in(c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,V_B),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,V_K),c_Message_Omsg_OAgent(V_A))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,V_evs)),tc_Message_Omsg) % 0.76/0.84 | ~ c_in(c_Message_Omsg_OCrypt(V_K,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(V_NB),c_Message_Omsg_ONonce(V_NB))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,V_evs)),tc_Message_Omsg) ) ). % 0.76/0.84 % 0.76/0.84 cnf(cls_Spy__spies__bad__privateKey_0,axiom, % 0.76/0.84 ( c_in(hAPP(c_Message_Omsg_OKey,hAPP(c_Message_OinvKey,hAPP(c_Public_OpublicKey(V_b),V_A))),c_Event_Oknows(c_Message_Oagent_OSpy,V_evs),tc_Message_Omsg) % 0.76/0.84 | ~ c_in(V_A,c_Event_Obad,tc_Message_Oagent) ) ). % 0.76/0.84 % 0.76/0.84 cnf(cls_Crypt__notin__used__empty_0,axiom, % 0.76/0.84 ~ c_in(c_Message_Omsg_OCrypt(V_K,V_X),c_Event_Oused(c_List_Olist_ONil(tc_Event_Oevent)),tc_Message_Omsg) ). % 0.76/0.84 % 0.76/0.84 cnf(cls_Nonce__notin__used__empty_0,axiom, % 0.76/0.84 ~ c_in(c_Message_Omsg_ONonce(V_N),c_Event_Oused(c_List_Olist_ONil(tc_Event_Oevent)),tc_Message_Omsg) ). % 0.76/0.84 % 0.76/0.84 cnf(cls_NS4__implies__NS3_0,axiom, % 0.76/0.84 ( c_in(c_Event_Oevent_OSays(v_sko__NS__Shared__Mirabelle__XNS4__implies__NS3__1(V_B,V_X,V_evs),V_B,V_X),c_List_Oset(V_evs,tc_Event_Oevent),tc_Event_Oevent) % 0.76/0.84 | ~ c_in(c_Message_Omsg_OCrypt(V_K,c_Message_Omsg_ONonce(V_NB)),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,V_evs)),tc_Message_Omsg) % 0.76/0.84 | ~ c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,V_A,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,V_A),c_Message_Omsg_OMPair(V_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(V_B),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,V_K),V_X))))),c_List_Oset(V_evs,tc_Event_Oevent),tc_Event_Oevent) % 0.76/0.84 | c_in(hAPP(c_Message_Omsg_OKey,V_K),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,V_evs)),tc_Message_Omsg) % 0.76/0.84 | ~ c_in(V_evs,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent)) ) ). % 0.76/0.84 % 0.76/0.84 cnf(cls_B__trusts__NS3_0,axiom, % 0.76/0.84 ( c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,V_A,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,V_A),c_Message_Omsg_OMPair(v_sko__NS__Shared__Mirabelle__XB__trusts__NS3__1(V_A,V_B,V_K,V_evs),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(V_B),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,V_K),c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,V_B),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,V_K),c_Message_Omsg_OAgent(V_A)))))))),c_List_Oset(V_evs,tc_Event_Oevent),tc_Event_Oevent) % 0.76/0.84 | ~ c_in(V_evs,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent)) % 0.76/0.84 | c_in(V_B,c_Event_Obad,tc_Message_Oagent) % 0.76/0.84 | ~ c_in(c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,V_B),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,V_K),c_Message_Omsg_OAgent(V_A))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,V_evs)),tc_Message_Omsg) ) ). % 0.76/0.84 % 0.76/0.84 cnf(cls_A__trusts__NS4_0,axiom, % 0.76/0.84 ( c_in(c_Event_Oevent_OSays(V_B,V_A,c_Message_Omsg_OCrypt(V_K,c_Message_Omsg_ONonce(V_NB))),c_List_Oset(V_evs,tc_Event_Oevent),tc_Event_Oevent) % 0.76/0.84 | ~ c_in(V_evs,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent)) % 0.76/0.84 | c_in(V_B,c_Event_Obad,tc_Message_Oagent) % 0.76/0.84 | c_in(V_A,c_Event_Obad,tc_Message_Oagent) % 0.76/0.84 | c_in(c_Event_Oevent_ONotes(c_Message_Oagent_OSpy,c_Message_Omsg_OMPair(V_NA,c_Message_Omsg_OMPair(v_sko__NS__Shared__Mirabelle__XA__trusts__NS4__1(V_K,V_NA,V_evs),hAPP(c_Message_Omsg_OKey,V_K)))),c_List_Oset(V_evs,tc_Event_Oevent),tc_Event_Oevent) % 0.76/0.84 | ~ c_in(c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,V_A),c_Message_Omsg_OMPair(V_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(V_B),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,V_K),V_X)))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,V_evs)),tc_Message_Omsg) % 0.76/0.84 | ~ c_in(c_Message_Omsg_OCrypt(V_K,c_Message_Omsg_ONonce(V_NB)),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,V_evs)),tc_Message_Omsg) ) ). % 0.76/0.84 % 0.76/0.84 cnf(cls_analz_ODecrypt_0,axiom, % 0.76/0.84 ( c_in(V_X,c_Message_Oanalz(V_H),tc_Message_Omsg) % 0.76/0.84 | ~ c_in(hAPP(c_Message_Omsg_OKey,hAPP(c_Message_OinvKey,V_K)),c_Message_Oanalz(V_H),tc_Message_Omsg) % 0.76/0.84 | ~ c_in(c_Message_Omsg_OCrypt(V_K,V_X),c_Message_Oanalz(V_H),tc_Message_Omsg) ) ). % 0.76/0.84 % 0.76/0.84 cnf(cls_usedI_0,axiom, % 0.76/0.84 ( c_in(V_c,c_Event_Oused(V_evs),tc_Message_Omsg) % 0.76/0.84 | ~ c_in(V_c,c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,V_evs)),tc_Message_Omsg) ) ). % 0.76/0.84 % 0.76/0.84 cnf(cls_spies__pubK_0,axiom, % 0.76/0.84 c_in(hAPP(c_Message_Omsg_OKey,hAPP(c_Public_OpublicKey(V_b),V_A)),c_Event_Oknows(c_Message_Oagent_OSpy,V_evs),tc_Message_Omsg) ). % 0.76/0.84 % 0.76/0.84 cnf(cls_Spy__see__shrK_1,axiom, % 0.76/0.84 ( c_in(hAPP(c_Message_Omsg_OKey,hAPP(c_Public_OshrK,V_A)),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,V_evs)),tc_Message_Omsg) % 0.76/0.84 | ~ c_in(V_A,c_Event_Obad,tc_Message_Oagent) % 0.76/0.84 | ~ c_in(V_evs,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent)) ) ). % 0.76/0.84 % 0.76/0.84 cnf(cls_Spy__see__shrK_0,axiom, % 0.76/0.84 ( c_in(V_A,c_Event_Obad,tc_Message_Oagent) % 0.76/0.84 | ~ c_in(hAPP(c_Message_Omsg_OKey,hAPP(c_Public_OshrK,V_A)),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,V_evs)),tc_Message_Omsg) % 0.76/0.84 | ~ c_in(V_evs,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent)) ) ). % 0.76/0.84 % 0.76/0.84 cnf(cls_Notes__imp__knows_0,axiom, % 0.76/0.84 ( c_in(V_X,c_Event_Oknows(V_A,V_evs),tc_Message_Omsg) % 0.76/0.84 | ~ c_in(c_Event_Oevent_ONotes(V_A,V_X),c_List_Oset(V_evs,tc_Event_Oevent),tc_Event_Oevent) ) ). % 0.76/0.84 % 0.76/0.84 cnf(cls_Spy__analz__shrK_0,axiom, % 0.76/0.84 ( c_in(V_A,c_Event_Obad,tc_Message_Oagent) % 0.76/0.84 | ~ c_in(hAPP(c_Message_Omsg_OKey,hAPP(c_Public_OshrK,V_A)),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,V_evs)),tc_Message_Omsg) % 0.76/0.84 | ~ c_in(V_evs,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent)) ) ). % 0.76/0.84 % 0.76/0.84 cnf(cls_Spy__analz__shrK_1,axiom, % 0.76/0.84 ( c_in(hAPP(c_Message_Omsg_OKey,hAPP(c_Public_OshrK,V_A)),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,V_evs)),tc_Message_Omsg) % 0.76/0.84 | ~ c_in(V_A,c_Event_Obad,tc_Message_Oagent) % 0.76/0.84 | ~ c_in(V_evs,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent)) ) ). % 0.76/0.84 % 0.76/0.84 cnf(cls_Says__imp__used_0,axiom, % 0.76/0.84 ( c_in(V_X,c_Event_Oused(V_evs),tc_Message_Omsg) % 0.76/0.84 | ~ c_in(c_Event_Oevent_OSays(V_A,V_B,V_X),c_List_Oset(V_evs,tc_Event_Oevent),tc_Event_Oevent) ) ). % 0.76/0.84 % 0.76/0.84 cnf(cls_B__Issues__A_0,axiom, % 0.76/0.84 ( c_NS__Shared__Mirabelle_OIssues(V_B,V_A,c_Message_Omsg_OCrypt(V_K,c_Message_Omsg_ONonce(V_Nb)),V_evs) % 0.76/0.84 | ~ c_in(V_evs,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent)) % 0.76/0.84 | c_in(V_B,c_Event_Obad,tc_Message_Oagent) % 0.76/0.84 | c_in(V_A,c_Event_Obad,tc_Message_Oagent) % 0.76/0.84 | c_in(hAPP(c_Message_Omsg_OKey,V_K),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,V_evs)),tc_Message_Omsg) % 0.76/0.84 | ~ c_in(c_Event_Oevent_OSays(V_B,V_A,c_Message_Omsg_OCrypt(V_K,c_Message_Omsg_ONonce(V_Nb))),c_List_Oset(V_evs,tc_Event_Oevent),tc_Event_Oevent) ) ). % 0.76/0.84 % 0.76/0.84 cnf(cls_A__authenticates__and__keydist__to__B_0,axiom, % 0.76/0.84 ( c_NS__Shared__Mirabelle_OIssues(V_B,V_A,c_Message_Omsg_OCrypt(V_K,c_Message_Omsg_ONonce(V_NB)),V_evs) % 0.76/0.84 | ~ c_in(V_evs,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent)) % 0.76/0.84 | c_in(V_B,c_Event_Obad,tc_Message_Oagent) % 0.76/0.84 | c_in(V_A,c_Event_Obad,tc_Message_Oagent) % 0.76/0.84 | c_in(hAPP(c_Message_Omsg_OKey,V_K),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,V_evs)),tc_Message_Omsg) % 0.76/0.84 | ~ c_in(c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,V_A),c_Message_Omsg_OMPair(V_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(V_B),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,V_K),V_X)))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,V_evs)),tc_Message_Omsg) % 0.76/0.84 | ~ c_in(c_Message_Omsg_OCrypt(V_K,c_Message_Omsg_ONonce(V_NB)),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,V_evs)),tc_Message_Omsg) ) ). % 0.76/0.84 % 0.76/0.84 cnf(cls_A__trusts__NS4__lemma_0,axiom, % 0.76/0.84 ( c_in(c_Event_Oevent_OSays(V_B,V_A,c_Message_Omsg_OCrypt(V_K,c_Message_Omsg_ONonce(V_NB))),c_List_Oset(V_evs,tc_Event_Oevent),tc_Event_Oevent) % 0.76/0.84 | ~ c_in(c_Message_Omsg_OCrypt(V_K,c_Message_Omsg_ONonce(V_NB)),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,V_evs)),tc_Message_Omsg) % 0.76/0.84 | ~ c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,V_A,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,V_A),c_Message_Omsg_OMPair(V_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(V_B),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,V_K),V_X))))),c_List_Oset(V_evs,tc_Event_Oevent),tc_Event_Oevent) % 0.76/0.84 | c_in(hAPP(c_Message_Omsg_OKey,V_K),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,V_evs)),tc_Message_Omsg) % 0.76/0.84 | ~ c_in(V_evs,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent)) ) ). % 0.76/0.84 % 0.76/0.84 cnf(cls_A__trusts__NS2_0,axiom, % 0.76/0.84 ( c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,V_A,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,V_A),c_Message_Omsg_OMPair(V_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(V_B),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,V_K),V_X))))),c_List_Oset(V_evs,tc_Event_Oevent),tc_Event_Oevent) % 0.76/0.84 | ~ c_in(V_evs,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent)) % 0.76/0.84 | c_in(V_A,c_Event_Obad,tc_Message_Oagent) % 0.76/0.84 | ~ c_in(c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,V_A),c_Message_Omsg_OMPair(V_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(V_B),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,V_K),V_X)))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,V_evs)),tc_Message_Omsg) ) ). % 0.76/0.84 % 0.76/0.84 cnf(cls_analz__spies__pubK_0,axiom, % 0.76/0.84 c_in(hAPP(c_Message_Omsg_OKey,hAPP(c_Public_OpublicKey(V_b),V_A)),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,V_evs)),tc_Message_Omsg) ). % 0.76/0.84 % 0.76/0.84 cnf(cls_analz__mono__contra_I1_J_0,axiom, % 0.76/0.84 ( ~ c_in(V_c,c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,V_evs)),tc_Message_Omsg) % 0.76/0.84 | c_in(V_c,c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,c_List_Olist_OCons(c_Event_Oevent_OSays(V_A,V_B,V_X),V_evs,tc_Event_Oevent))),tc_Message_Omsg) ) ). % 0.76/0.84 % 0.76/0.84 cnf(cls_Gets__imp__knows__agents_0,axiom, % 0.76/0.84 ( c_in(V_X,c_Event_Oknows(V_A,V_evs),tc_Message_Omsg) % 0.76/0.84 | ~ c_in(c_Event_Oevent_OGets(V_A,V_X),c_List_Oset(V_evs,tc_Event_Oevent),tc_Event_Oevent) % 0.76/0.84 | V_A = c_Message_Oagent_OSpy ) ). % 0.76/0.84 % 0.76/0.84 cnf(cls_B__trusts__NS5__lemma_0,axiom, % 0.76/0.84 ( c_in(c_Event_Oevent_OSays(V_A,V_B,c_Message_Omsg_OCrypt(V_K,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(V_NB),c_Message_Omsg_ONonce(V_NB)))),c_List_Oset(V_evs,tc_Event_Oevent),tc_Event_Oevent) % 0.76/0.84 | ~ c_in(c_Message_Omsg_OCrypt(V_K,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(V_NB),c_Message_Omsg_ONonce(V_NB))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,V_evs)),tc_Message_Omsg) % 0.76/0.84 | ~ c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,V_A,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,V_A),c_Message_Omsg_OMPair(V_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(V_B),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,V_K),c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,V_B),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,V_K),c_Message_Omsg_OAgent(V_A)))))))),c_List_Oset(V_evs,tc_Event_Oevent),tc_Event_Oevent) % 0.76/0.84 | c_in(hAPP(c_Message_Omsg_OKey,V_K),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,V_evs)),tc_Message_Omsg) % 0.76/0.84 | ~ c_in(V_evs,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent)) % 0.76/0.84 | c_in(V_B,c_Event_Obad,tc_Message_Oagent) ) ). % 0.76/0.84 % 0.76/0.84 cnf(cls_cert__A__form_1,axiom, % 0.76/0.84 ( V_X = c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,V_B),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,V_K),c_Message_Omsg_OAgent(V_A))) % 0.76/0.84 | ~ c_in(V_evs,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent)) % 0.76/0.84 | c_in(V_A,c_Event_Obad,tc_Message_Oagent) % 0.76/0.84 | ~ c_in(c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,V_A),c_Message_Omsg_OMPair(V_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(V_B),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,V_K),V_X)))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,V_evs)),tc_Message_Omsg) ) ). % 0.76/0.84 % 0.76/0.84 cnf(cls_Says__S__message__form_1,axiom, % 0.76/0.84 ( c_in(V_X,c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,V_evs)),tc_Message_Omsg) % 0.76/0.84 | V_X = c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,V_B),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,V_K),c_Message_Omsg_OAgent(V_A))) % 0.76/0.84 | ~ c_in(V_evs,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent)) % 0.76/0.84 | ~ c_in(c_Event_Oevent_OSays(V_S,V_A,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,V_A),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(V_NA),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(V_B),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,V_K),V_X))))),c_List_Oset(V_evs,tc_Event_Oevent),tc_Event_Oevent) ) ). % 0.76/0.84 % 0.76/0.84 cnf(cls_Notes__imp__knows__Spy_0,axiom, % 0.76/0.84 ( c_in(V_X,c_Event_Oknows(c_Message_Oagent_OSpy,V_evs),tc_Message_Omsg) % 0.76/0.84 | ~ c_in(V_A,c_Event_Obad,tc_Message_Oagent) % 0.76/0.84 | ~ c_in(c_Event_Oevent_ONotes(V_A,V_X),c_List_Oset(V_evs,tc_Event_Oevent),tc_Event_Oevent) ) ). % 0.76/0.84 % 0.76/0.84 cnf(cls_Oops__parts__spies_0,axiom, % 0.76/0.84 ( c_in(V_K,c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,V_evs)),tc_Message_Omsg) % 0.76/0.84 | ~ c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,V_A,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,V_A),c_Message_Omsg_OMPair(V_NA,c_Message_Omsg_OMPair(V_B,c_Message_Omsg_OMPair(V_K,V_X))))),c_List_Oset(V_evs,tc_Event_Oevent),tc_Event_Oevent) ) ). % 0.76/0.84 % 0.76/0.84 cnf(cls_msg_Osimps_I1_J_0,axiom, % 0.76/0.84 ( c_Message_Omsg_OAgent(V_agent) != c_Message_Omsg_OAgent(V_agent_H) % 0.76/0.84 | V_agent = V_agent_H ) ). % 0.76/0.84 % 0.76/0.84 cnf(cls_parts__analz_0,axiom, % 0.76/0.84 c_Message_Oparts(c_Message_Oanalz(V_H)) = c_Message_Oparts(V_H) ). % 0.76/0.84 % 0.76/0.84 cnf(cls_Says__imp__knows_0,axiom, % 0.76/0.84 ( c_in(V_X,c_Event_Oknows(V_A,V_evs),tc_Message_Omsg) % 0.76/0.84 | ~ c_in(c_Event_Oevent_OSays(V_A,V_B,V_X),c_List_Oset(V_evs,tc_Event_Oevent),tc_Event_Oevent) ) ). % 0.76/0.84 % 0.76/0.84 cnf(cls_analz__idem_0,axiom, % 0.76/0.84 c_Message_Oanalz(c_Message_Oanalz(V_H)) = c_Message_Oanalz(V_H) ). % 0.76/0.84 % 0.76/0.84 cnf(cls_analz_OSnd_0,axiom, % 0.76/0.84 ( c_in(V_Y,c_Message_Oanalz(V_H),tc_Message_Omsg) % 0.76/0.84 | ~ c_in(c_Message_Omsg_OMPair(V_X,V_Y),c_Message_Oanalz(V_H),tc_Message_Omsg) ) ). % 0.76/0.84 % 0.76/0.84 cnf(cls_analz_OFst_0,axiom, % 0.76/0.84 ( c_in(V_X,c_Message_Oanalz(V_H),tc_Message_Omsg) % 0.76/0.84 | ~ c_in(c_Message_Omsg_OMPair(V_X,V_Y),c_Message_Oanalz(V_H),tc_Message_Omsg) ) ). % 0.76/0.84 % 0.76/0.84 cnf(cls_parts_OSnd_0,axiom, % 0.76/0.84 ( c_in(V_Y,c_Message_Oparts(V_H),tc_Message_Omsg) % 0.76/0.84 | ~ c_in(c_Message_Omsg_OMPair(V_X,V_Y),c_Message_Oparts(V_H),tc_Message_Omsg) ) ). % 0.76/0.84 % 0.76/0.84 cnf(cls_parts_OFst_0,axiom, % 0.76/0.84 ( c_in(V_X,c_Message_Oparts(V_H),tc_Message_Omsg) % 0.76/0.84 | ~ c_in(c_Message_Omsg_OMPair(V_X,V_Y),c_Message_Oparts(V_H),tc_Message_Omsg) ) ). % 0.76/0.84 % 0.76/0.84 cnf(cls_msg_Osimps_I37_J_0,axiom, % 0.76/0.84 c_Message_Omsg_OCrypt(V_nat_H,V_msg_H) != c_Message_Omsg_ONonce(V_nat) ). % 0.76/0.84 % 0.76/0.84 cnf(cls_msg_Osimps_I12_J_0,axiom, % 0.76/0.84 c_Message_Omsg_OAgent(V_agent) != hAPP(c_Message_Omsg_OKey,V_nat_H) ). % 0.76/0.84 % 0.76/0.84 cnf(cls_msg_Osimps_I31_J_0,axiom, % 0.76/0.84 hAPP(c_Message_Omsg_OKey,V_nat_H) != c_Message_Omsg_ONonce(V_nat) ). % 0.76/0.84 % 0.76/0.84 cnf(cls_event_Osimps_I1_J_0,axiom, % 0.76/0.84 ( c_Event_Oevent_OSays(V_agent1,V_agent2,V_msg) != c_Event_Oevent_OSays(V_agent1_H,V_agent2_H,V_msg_H) % 0.76/0.84 | V_agent1 = V_agent1_H ) ). % 0.76/0.84 % 0.76/0.84 cnf(cls_event_Osimps_I1_J_1,axiom, % 0.76/0.84 ( c_Event_Oevent_OSays(V_agent1,V_agent2,V_msg) != c_Event_Oevent_OSays(V_agent1_H,V_agent2_H,V_msg_H) % 0.76/0.84 | V_agent2 = V_agent2_H ) ). % 0.76/0.84 % 0.76/0.84 cnf(cls_event_Osimps_I1_J_2,axiom, % 0.76/0.84 ( c_Event_Oevent_OSays(V_agent1,V_agent2,V_msg) != c_Event_Oevent_OSays(V_agent1_H,V_agent2_H,V_msg_H) % 0.76/0.84 | V_msg = V_msg_H ) ). % 0.76/0.84 % 0.76/0.84 cnf(cls_parts_OInj_0,axiom, % 0.76/0.84 ( c_in(V_X,c_Message_Oparts(V_H),tc_Message_Omsg) % 0.76/0.84 | ~ c_in(V_X,V_H,tc_Message_Omsg) ) ). % 0.76/0.84 % 0.76/0.84 cnf(cls_analz_OInj_0,axiom, % 0.76/0.84 ( c_in(V_X,c_Message_Oanalz(V_H),tc_Message_Omsg) % 0.76/0.84 | ~ c_in(V_X,V_H,tc_Message_Omsg) ) ). % 0.76/0.84 % 0.76/0.84 cnf(cls_Says__imp__parts__knows__Spy_0,axiom, % 0.76/0.84 ( c_in(V_X,c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,V_evs)),tc_Message_Omsg) % 0.76/0.84 | ~ c_in(c_Event_Oevent_OSays(V_A,V_B,V_X),c_List_Oset(V_evs,tc_Event_Oevent),tc_Event_Oevent) ) ). % 0.76/0.84 % 0.76/0.84 cnf(cls_Says__imp__spies_0,axiom, % 0.76/0.84 ( c_in(V_X,c_Event_Oknows(c_Message_Oagent_OSpy,V_evs),tc_Message_Omsg) % 0.76/0.84 | ~ c_in(c_Event_Oevent_OSays(V_A,V_B,V_X),c_List_Oset(V_evs,tc_Event_Oevent),tc_Event_Oevent) ) ). % 0.76/0.84 % 0.76/0.84 cnf(cls_Spy__in__bad_0,axiom, % 0.76/0.84 c_in(c_Message_Oagent_OSpy,c_Event_Obad,tc_Message_Oagent) ). % 0.76/0.84 % 0.76/0.84 cnf(cls_NS3__msg__in__parts__spies_0,axiom, % 0.76/0.84 ( c_in(V_X,c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,V_evs)),tc_Message_Omsg) % 0.76/0.84 | ~ c_in(c_Event_Oevent_OSays(V_S,V_A,c_Message_Omsg_OCrypt(V_KA,c_Message_Omsg_OMPair(V_N,c_Message_Omsg_OMPair(V_B,c_Message_Omsg_OMPair(V_K,V_X))))),c_List_Oset(V_evs,tc_Event_Oevent),tc_Event_Oevent) ) ). % 0.76/0.84 % 0.76/0.84 cnf(cls_msg_Osimps_I43_J_0,axiom, % 0.76/0.84 c_Message_Omsg_OCrypt(V_nat_H,V_msg_H) != hAPP(c_Message_Omsg_OKey,V_nat) ). % 0.76/0.84 % 0.76/0.84 cnf(cls_parts__idem_0,axiom, % 0.76/0.84 c_Message_Oparts(c_Message_Oparts(V_H)) = c_Message_Oparts(V_H) ). % 0.76/0.84 % 0.76/0.84 cnf(cls_msg_Osimps_I30_J_0,axiom, % 0.76/0.84 c_Message_Omsg_ONonce(V_nat) != hAPP(c_Message_Omsg_OKey,V_nat_H) ). % 0.76/0.84 % 0.76/0.84 cnf(cls_analz__parts_0,axiom, % 0.76/0.84 c_Message_Oanalz(c_Message_Oparts(V_H)) = c_Message_Oparts(V_H) ). % 0.76/0.84 % 0.76/0.84 cnf(cls_msg_Osimps_I17_J_0,axiom, % 0.76/0.84 c_Message_Omsg_OMPair(V_msg1_H,V_msg2_H) != c_Message_Omsg_OAgent(V_agent) ). % 0.76/0.84 % 0.76/0.84 cnf(cls_msg_Osimps_I11_J_0,axiom, % 0.76/0.84 c_Message_Omsg_ONonce(V_nat_H) != c_Message_Omsg_OAgent(V_agent) ). % 0.76/0.84 % 0.76/0.84 cnf(cls_parts_OBody_0,axiom, % 0.76/0.84 ( c_in(V_X,c_Message_Oparts(V_H),tc_Message_Omsg) % 0.76/0.84 | ~ c_in(c_Message_Omsg_OCrypt(V_K,V_X),c_Message_Oparts(V_H),tc_Message_Omsg) ) ). % 0.76/0.84 % 0.76/0.84 cnf(cls_analz__shrK__Decrypt_0,axiom, % 0.76/0.84 ( c_in(V_X,c_Message_Oanalz(V_H),tc_Message_Omsg) % 0.76/0.84 | ~ c_in(hAPP(c_Message_Omsg_OKey,hAPP(c_Public_OshrK,V_A)),c_Message_Oanalz(V_H),tc_Message_Omsg) % 0.76/0.84 | ~ c_in(c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,V_A),V_X),c_Message_Oanalz(V_H),tc_Message_Omsg) ) ). % 0.76/0.84 % 0.76/0.84 cnf(cls_Says__imp__analz__Spy_0,axiom, % 0.76/0.84 ( c_in(V_X,c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,V_evs)),tc_Message_Omsg) % 0.76/0.84 | ~ c_in(c_Event_Oevent_OSays(V_A,V_B,V_X),c_List_Oset(V_evs,tc_Event_Oevent),tc_Event_Oevent) ) ). % 0.76/0.84 % 0.76/0.84 cnf(cls_parts__partsD_0,axiom, % 0.76/0.84 ( c_in(V_X,c_Message_Oparts(V_H),tc_Message_Omsg) % 0.76/0.84 | ~ c_in(V_X,c_Message_Oparts(c_Message_Oparts(V_H)),tc_Message_Omsg) ) ). % 0.76/0.84 % 0.76/0.84 cnf(cls_msg_Osimps_I4_J_0,axiom, % 0.76/0.84 ( hAPP(c_Message_Omsg_OKey,V_nat) != hAPP(c_Message_Omsg_OKey,V_nat_H) % 0.76/0.84 | V_nat = V_nat_H ) ). % 0.76/0.84 % 0.76/0.84 cnf(cls_msg_Osimps_I16_J_0,axiom, % 0.76/0.84 c_Message_Omsg_OAgent(V_agent) != c_Message_Omsg_OMPair(V_msg1_H,V_msg2_H) ). % 0.76/0.84 % 0.76/0.84 cnf(cls_Spy__spies__bad__shrK_0,axiom, % 0.76/0.84 ( c_in(hAPP(c_Message_Omsg_OKey,hAPP(c_Public_OshrK,V_A)),c_Event_Oknows(c_Message_Oagent_OSpy,V_evs),tc_Message_Omsg) % 0.76/0.84 | ~ c_in(V_A,c_Event_Obad,tc_Message_Oagent) ) ). % 0.76/0.84 % 0.76/0.84 cnf(cls_msg_Osimps_I18_J_0,axiom, % 0.76/0.84 c_Message_Omsg_OAgent(V_agent) != c_Message_Omsg_OCrypt(V_nat_H,V_msg_H) ). % 0.76/0.84 % 0.76/0.84 cnf(cls_msg_Osimps_I34_J_0,axiom, % 0.76/0.84 c_Message_Omsg_ONonce(V_nat) != c_Message_Omsg_OMPair(V_msg1_H,V_msg2_H) ). % 0.76/0.84 % 0.76/0.84 cnf(cls_msg_Osimps_I48_J_0,axiom, % 0.76/0.84 c_Message_Omsg_OMPair(V_msg1,V_msg2) != c_Message_Omsg_OCrypt(V_nat_H,V_msg_H) ). % 0.76/0.84 % 0.76/0.84 cnf(cls_msg_Osimps_I19_J_0,axiom, % 0.76/0.84 c_Message_Omsg_OCrypt(V_nat_H,V_msg_H) != c_Message_Omsg_OAgent(V_agent) ). % 0.76/0.84 % 0.76/0.84 cnf(cls_shrK__in__knows_0,axiom, % 0.76/0.84 c_in(hAPP(c_Message_Omsg_OKey,hAPP(c_Public_OshrK,V_A)),c_Event_Oknows(V_A,V_evs),tc_Message_Omsg) ). % 0.76/0.84 % 0.76/0.84 cnf(cls_msg_Osimps_I13_J_0,axiom, % 0.76/0.84 hAPP(c_Message_Omsg_OKey,V_nat_H) != c_Message_Omsg_OAgent(V_agent) ). % 0.76/0.84 % 0.76/0.84 cnf(cls_analz__analzD_0,axiom, % 0.76/0.84 ( c_in(V_X,c_Message_Oanalz(V_H),tc_Message_Omsg) % 0.76/0.84 | ~ c_in(V_X,c_Message_Oanalz(c_Message_Oanalz(V_H)),tc_Message_Omsg) ) ). % 0.76/0.84 % 0.76/0.84 cnf(cls_msg_Osimps_I3_J_0,axiom, % 0.76/0.84 ( c_Message_Omsg_ONonce(V_nat) != c_Message_Omsg_ONonce(V_nat_H) % 0.76/0.84 | V_nat = V_nat_H ) ). % 0.76/0.84 % 0.76/0.84 cnf(cls_mem__def_1,axiom, % 0.76/0.84 ( c_in(V_x,V_S,T_a) % 0.76/0.84 | ~ hBOOL(hAPP(V_S,V_x)) ) ). % 0.76/0.84 % 0.76/0.84 cnf(cls_mem__def_0,axiom, % 0.76/0.84 ( hBOOL(hAPP(V_S,V_x)) % 0.76/0.84 | ~ c_in(V_x,V_S,T_a) ) ). % 0.76/0.84 % 0.76/0.84 cnf(cls_msg_Osimps_I36_J_0,axiom, % 0.76/0.84 c_Message_Omsg_ONonce(V_nat) != c_Message_Omsg_OCrypt(V_nat_H,V_msg_H) ). % 0.76/0.84 % 0.76/0.84 cnf(cls_msg_Osimps_I7_J_0,axiom, % 0.76/0.84 ( c_Message_Omsg_OCrypt(V_nat,V_msg) != c_Message_Omsg_OCrypt(V_nat_H,V_msg_H) % 0.76/0.84 | V_nat = V_nat_H ) ). % 0.76/0.84 % 0.76/0.84 cnf(cls_msg_Osimps_I7_J_1,axiom, % 0.76/0.84 ( c_Message_Omsg_OCrypt(V_nat,V_msg) != c_Message_Omsg_OCrypt(V_nat_H,V_msg_H) % 0.76/0.84 | V_msg = V_msg_H ) ). % 0.76/0.84 % 0.76/0.84 cnf(cls_msg_Osimps_I10_J_0,axiom, % 0.76/0.84 c_Message_Omsg_OAgent(V_agent) != c_Message_Omsg_ONonce(V_nat_H) ). % 0.76/0.84 % 0.76/0.84 cnf(cls_msg_Osimps_I6_J_0,axiom, % 0.76/0.84 ( c_Message_Omsg_OMPair(V_msg1,V_msg2) != c_Message_Omsg_OMPair(V_msg1_H,V_msg2_H) % 0.76/0.84 | V_msg1 = V_msg1_H ) ). % 0.76/0.84 % 0.76/0.84 cnf(cls_msg_Osimps_I6_J_1,axiom, % 0.76/0.84 ( c_Message_Omsg_OMPair(V_msg1,V_msg2) != c_Message_Omsg_OMPair(V_msg1_H,V_msg2_H) % 0.76/0.84 | V_msg2 = V_msg2_H ) ). % 0.76/0.84 % 0.76/0.84 cnf(cls_Crypt__Spy__analz__bad_0,axiom, % 0.76/0.84 ( c_in(V_X,c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,V_evs)),tc_Message_Omsg) % 0.76/0.84 | ~ c_in(V_A,c_Event_Obad,tc_Message_Oagent) % 0.76/0.84 | ~ c_in(c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,V_A),V_X),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,V_evs)),tc_Message_Omsg) ) ). % 0.76/0.84 % 0.76/0.84 cnf(cls_msg_Osimps_I35_J_0,axiom, % 0.76/0.84 c_Message_Omsg_OMPair(V_msg1_H,V_msg2_H) != c_Message_Omsg_ONonce(V_nat) ). % 0.76/0.84 % 0.76/0.84 cnf(cls_msg_Osimps_I49_J_0,axiom, % 0.76/0.84 c_Message_Omsg_OCrypt(V_nat_H,V_msg_H) != c_Message_Omsg_OMPair(V_msg1,V_msg2) ). % 0.76/0.84 % 0.76/0.84 cnf(cls_msg_Osimps_I40_J_0,axiom, % 0.76/0.84 hAPP(c_Message_Omsg_OKey,V_nat) != c_Message_Omsg_OMPair(V_msg1_H,V_msg2_H) ). % 0.76/0.84 % 0.76/0.84 cnf(cls_msg_Osimps_I41_J_0,axiom, % 0.76/0.84 c_Message_Omsg_OMPair(V_msg1_H,V_msg2_H) != hAPP(c_Message_Omsg_OKey,V_nat) ). % 0.76/0.84 % 0.76/0.84 cnf(cls_msg_Osimps_I42_J_0,axiom, % 0.76/0.84 hAPP(c_Message_Omsg_OKey,V_nat) != c_Message_Omsg_OCrypt(V_nat_H,V_msg_H) ). % 0.76/0.84 % 0.76/0.84 cnf(cls_shrK__injective_0,axiom, % 0.76/0.84 ( hAPP(c_Public_OshrK,V_x) != hAPP(c_Public_OshrK,V_y) % 0.76/0.84 | V_x = V_y ) ). % 0.76/0.84 % 0.76/0.84 cnf(cls_not__parts__not__analz_0,axiom, % 0.76/0.84 ( ~ c_in(V_c,c_Message_Oanalz(V_H),tc_Message_Omsg) % 0.76/0.84 | c_in(V_c,c_Message_Oparts(V_H),tc_Message_Omsg) ) ). % 0.76/0.84 % 0.76/0.84 cnf(cls_analz__into__parts_0,axiom, % 0.76/0.84 ( c_in(V_c,c_Message_Oparts(V_H),tc_Message_Omsg) % 0.76/0.84 | ~ c_in(V_c,c_Message_Oanalz(V_H),tc_Message_Omsg) ) ). % 0.76/0.84 % 0.76/0.84 cnf(cls_analz__conj__parts_0,axiom, % 0.76/0.84 ( c_in(V_X,c_Message_Oparts(V_H),tc_Message_Omsg) % 0.76/0.84 | ~ c_in(V_X,c_Message_Oanalz(V_H),tc_Message_Omsg) ) ). % 0.76/0.84 % 0.76/0.84 cnf(cls_conjecture_0,negated_conjecture, % 0.76/0.84 ~ c_in(v_A,c_Event_Obad,tc_Message_Oagent) ). % 0.76/0.84 % 0.76/0.84 cnf(cls_conjecture_1,negated_conjecture, % 0.76/0.84 ~ c_in(v_B,c_Event_Obad,tc_Message_Oagent) ). % 0.76/0.84 % 0.76/0.84 cnf(cls_conjecture_2,negated_conjecture, % 0.76/0.84 ~ c_in(hAPP(c_Message_Omsg_OKey,v_K),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,c_List_Olist_ONil(tc_Event_Oevent))),tc_Message_Omsg) ). % 0.76/0.84 % 0.76/0.84 cnf(cls_conjecture_3,negated_conjecture, % 0.76/0.84 c_in(c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,v_A),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NA),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_B),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,v_K),v_X)))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,c_List_Olist_ONil(tc_Event_Oevent))),tc_Message_Omsg) ). % 0.76/0.84 % 0.76/0.84 cnf(cls_conjecture_4,negated_conjecture, % 0.76/0.84 c_in(c_Message_Omsg_OCrypt(v_K,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),c_Message_Omsg_ONonce(v_NB))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,c_List_Olist_ONil(tc_Event_Oevent))),tc_Message_Omsg) ). % 0.76/0.84 % 0.76/0.84 cnf(cls_conjecture_5,negated_conjecture, % 0.76/0.84 ~ c_in(c_Event_Oevent_OSays(v_A,v_B,c_Message_Omsg_OCrypt(v_K,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),c_Message_Omsg_ONonce(v_NB)))),c_List_Oset(c_List_Olist_ONil(tc_Event_Oevent),tc_Event_Oevent),tc_Event_Oevent) ). % 0.76/0.84 % 0.76/0.84 cnf(clsarity_fun__Lattices_Oupper__semilattice,axiom, % 0.76/0.84 ( class_Lattices_Oupper__semilattice(tc_fun(T_2,T_1)) % 0.76/0.84 | ~ class_Lattices_Olattice(T_1) ) ). % 0.76/0.84 % 0.76/0.84 cnf(clsarity_fun__Lattices_Obounded__lattice,axiom, % 0.76/0.84 ( class_Lattices_Obounded__lattice(tc_fun(T_2,T_1)) % 0.76/0.84 | ~ class_Lattices_Obounded__lattice(T_1) ) ). % 0.76/0.84 % 0.76/0.84 cnf(clsarity_fun__Lattices_Oboolean__algebra,axiom, % 0.76/0.84 ( class_Lattices_Oboolean__algebra(tc_fun(T_2,T_1)) % 0.76/0.84 | ~ class_Lattices_Oboolean__algebra(T_1) ) ). % 0.76/0.84 % 0.76/0.84 cnf(clsarity_fun__Orderings_Opreorder,axiom, % 0.76/0.84 ( class_Orderings_Opreorder(tc_fun(T_2,T_1)) % 0.76/0.84 | ~ class_Orderings_Opreorder(T_1) ) ). % 0.76/0.84 % 0.76/0.84 cnf(clsarity_fun__Lattices_Olattice,axiom, % 0.76/0.84 ( class_Lattices_Olattice(tc_fun(T_2,T_1)) % 0.76/0.84 | ~ class_Lattices_Olattice(T_1) ) ). % 0.76/0.84 % 0.76/0.84 cnf(clsarity_fun__Orderings_Oorder,axiom, % 0.76/0.84 ( class_Orderings_Oorder(tc_fun(T_2,T_1)) % 0.76/0.84 | ~ class_Orderings_Oorder(T_1) ) ). % 0.76/0.84 % 0.76/0.84 cnf(clsarity_fun__Orderings_Otop,axiom, % 0.76/0.84 ( class_Orderings_Otop(tc_fun(T_2,T_1)) % 0.76/0.84 | ~ class_Orderings_Otop(T_1) ) ). % 0.76/0.84 % 0.76/0.84 cnf(clsarity_fun__Orderings_Obot,axiom, % 0.76/0.84 ( class_Orderings_Obot(tc_fun(T_2,T_1)) % 0.76/0.84 | ~ class_Orderings_Obot(T_1) ) ). % 0.76/0.84 % 0.76/0.84 cnf(clsarity_fun__HOL_Oord,axiom, % 0.76/0.84 ( class_HOL_Oord(tc_fun(T_2,T_1)) % 0.76/0.84 | ~ class_HOL_Oord(T_1) ) ). % 0.76/0.84 % 0.76/0.84 cnf(clsarity_nat__Lattices_Oupper__semilattice,axiom, % 0.76/0.84 class_Lattices_Oupper__semilattice(tc_nat) ). % 0.76/0.84 % 0.76/0.84 cnf(clsarity_nat__Orderings_Opreorder,axiom, % 0.76/0.84 class_Orderings_Opreorder(tc_nat) ). % 0.76/0.84 % 0.76/0.84 cnf(clsarity_nat__Orderings_Olinorder,axiom, % 0.76/0.84 class_Orderings_Olinorder(tc_nat) ). % 0.76/0.84 % 0.76/0.84 cnf(clsarity_nat__Lattices_Olattice,axiom, % 0.76/0.84 class_Lattices_Olattice(tc_nat) ). % 0.76/0.84 % 0.76/0.84 cnf(clsarity_nat__Orderings_Oorder,axiom, % 0.76/0.84 class_Orderings_Oorder(tc_nat) ). % 0.76/0.84 % 0.76/0.84 cnf(clsarity_nat__Orderings_Obot,axiom, % 0.76/0.84 class_Orderings_Obot(tc_nat) ). % 0.76/0.84 % 0.76/0.84 cnf(clsarity_nat__HOL_Oord,axiom, % 0.76/0.84 class_HOL_Oord(tc_nat) ). % 0.76/0.84 % 0.76/0.84 cnf(clsarity_bool__Lattices_Oupper__semilattice,axiom, % 0.76/0.84 class_Lattices_Oupper__semilattice(tc_bool) ). % 0.76/0.84 % 0.76/0.84 cnf(clsarity_bool__Lattices_Obounded__lattice,axiom, % 0.76/0.84 class_Lattices_Obounded__lattice(tc_bool) ). % 0.76/0.84 % 0.76/0.84 cnf(clsarity_bool__Lattices_Oboolean__algebra,axiom, % 0.76/0.84 class_Lattices_Oboolean__algebra(tc_bool) ). % 0.76/0.84 % 0.76/0.84 cnf(clsarity_bool__Orderings_Opreorder,axiom, % 0.76/0.84 class_Orderings_Opreorder(tc_bool) ). % 0.76/0.84 % 0.76/0.84 cnf(clsarity_bool__Lattices_Olattice,axiom, % 0.76/0.84 class_Lattices_Olattice(tc_bool) ). % 0.76/0.84 % 0.76/0.84 cnf(clsarity_bool__Orderings_Oorder,axiom, % 0.76/0.84 class_Orderings_Oorder(tc_bool) ). % 0.76/0.84 % 0.76/0.84 cnf(clsarity_bool__Orderings_Otop,axiom, % 0.76/0.84 class_Orderings_Otop(tc_bool) ). % 0.76/0.84 % 0.76/0.84 cnf(clsarity_bool__Orderings_Obot,axiom, % 0.76/0.84 class_Orderings_Obot(tc_bool) ). % 0.76/0.84 % 0.76/0.84 cnf(clsarity_bool__HOL_Oord,axiom, % 0.76/0.84 class_HOL_Oord(tc_bool) ). % 0.76/0.84 % 0.76/0.84 cnf(cls_ATP__Linkup_Oequal__imp__fequal_0,axiom, % 0.76/0.84 c_fequal(V_x,V_x,T_a) ). % 0.76/0.84 % 0.76/0.84 cnf(cls_ATP__Linkup_Ofequal__imp__equal_0,axiom, % 0.76/0.84 ( V_X = V_Y % 0.76/0.84 | ~ c_fequal(V_X,V_Y,T_a) ) ). % 0.76/0.84 % 0.76/0.84 %------------------------------------------------------------------------------ % 0.76/0.84 %------------------------------------------- % 0.76/0.84 % Proof found % 0.76/0.84 % SZS status Theorem for theBenchmark % 0.76/0.84 % SZS output start Proof % 0.76/0.84 %ClaNum:748(EqnAxiom:117) % 0.76/0.84 %VarNum:3195(SingletonVarNum:1540) % 0.76/0.84 %MaxLitNum:7 % 0.76/0.84 %MaxfuncDepth:9 % 0.76/0.84 %SharedTerms:112 % 0.76/0.84 %goalClause: 214 289 337 338 364 369 % 0.76/0.84 %singleGoalClaCount:6 % 0.76/0.84 [118]P1(a1) % 0.76/0.84 [119]P9(a1) % 0.76/0.84 [120]P9(a47) % 0.76/0.84 [121]P2(a1) % 0.76/0.84 [122]P14(a1) % 0.76/0.84 [123]P14(a47) % 0.76/0.84 [124]P10(a1) % 0.76/0.84 [125]P10(a47) % 0.76/0.84 [126]P16(a1) % 0.76/0.84 [127]P17(a1) % 0.76/0.84 [128]P17(a47) % 0.76/0.84 [129]P15(a47) % 0.76/0.84 [130]P11(a1) % 0.76/0.84 [131]P11(a47) % 0.76/0.84 [132]P3(a1) % 0.76/0.84 [133]P3(a47) % 0.76/0.84 [144]P6(a20,a4,a44) % 0.76/0.84 [299]~E(a41,a40) % 0.76/0.84 [301]~E(a21,a20) % 0.76/0.84 [336]~P6(a21,a4,a44) % 0.76/0.84 [337]~P6(a50,a4,a44) % 0.76/0.84 [338]~P6(a51,a4,a44) % 0.76/0.84 [134]P4(f3(a2)) % 0.76/0.84 [146]P6(f3(a2),a36,f45(a2)) % 0.76/0.84 [296]E(f6(f6(f6(f42(f34(a30,f34(a24,f34(f39(a40),a21))),f42(f34(a30,f34(a24,f34(f39(a41),a21))),f35(f48(a46,a1)),a46),a46),f43(a30,f43(f39(a40),f38(f48(a44,a1)),a44,a47),a47,a46),f48(a46,a1)),f43(a30,f43(f39(a41),f38(f48(a44,a1)),a44,a47),a47,a46),f48(a46,a1)),f43(a30,f43(a37,f38(f48(a44,a1)),a44,a47),a47,a46),f48(a46,a1)),f8(a21,f3(a2))) % 0.76/0.84 [297]E(f6(f6(f6(f6(f43(a30,f43(a24,f43(f39(a40),a4,a44,a47),a47,a47),a47,a46),f43(a30,f43(a24,f43(f39(a41),a4,a44,a47),a47,a47),a47,a46),f48(a46,a1)),f43(a30,f43(a37,a4,a44,a47),a47,a46),f48(a46,a1)),f43(a30,f43(f39(a40),f38(f48(a44,a1)),a44,a47),a47,a46),f48(a46,a1)),f43(a30,f43(f39(a41),f38(f48(a44,a1)),a44,a47),a47,a46),f48(a46,a1)),f8(a20,f3(a2))) % 0.76/0.84 [156]E(f17(f35(f48(a46,a1))),f35(f48(a46,a1))) % 0.76/0.84 [157]E(f18(f35(f48(a46,a1))),f35(f48(a46,a1))) % 0.76/0.84 [214]P6(f28(a49,f31(f29(a52),f29(a52))),f17(f8(a20,f3(a2))),a46) % 0.76/0.84 [364]~P6(f34(a30,a49),f18(f8(a20,f3(a2))),a46) % 0.76/0.84 [369]~P6(f11(a50,a51,f28(a49,f31(f29(a52),f29(a52)))),f19(f3(a2),a2),a2) % 0.76/0.84 [289]P6(f28(f34(a37,a50),f31(f29(a53),f31(f25(a51),f31(f34(a30,a49),a54)))),f17(f8(a20,f3(a2))),a46) % 0.76/0.84 [158]P6(f34(a37,x1581),a33,a47) % 0.76/0.84 [162]P8(x1621,f17(x1621),f48(a46,a1)) % 0.76/0.84 [163]P8(x1631,f18(x1631),f48(a46,a1)) % 0.76/0.84 [164]P8(x1641,f32(x1641),f48(a46,a1)) % 0.76/0.84 [165]P8(f18(x1651),f17(x1651),f48(a46,a1)) % 0.76/0.84 [135]E(f17(f17(x1351)),f17(x1351)) % 0.76/0.84 [136]E(f17(f18(x1361)),f17(x1361)) % 0.76/0.84 [137]E(f18(f17(x1371)),f17(x1371)) % 0.76/0.84 [138]E(f18(f18(x1381)),f18(x1381)) % 0.76/0.84 [139]E(f32(f32(x1391)),f32(x1391)) % 0.76/0.84 [140]E(f34(a24,f34(a24,x1401)),x1401) % 0.76/0.84 [141]E(f19(f3(x1411),x1411),f35(f48(x1411,a1))) % 0.76/0.84 [142]E(f35(f48(x1421,a1)),f19(f3(x1421),x1421)) % 0.76/0.84 [143]E(f34(a24,f34(a37,x1431)),f34(a37,x1431)) % 0.76/0.84 [166]P8(f7(f3(a2)),f7(x1661),f48(a46,a1)) % 0.76/0.84 [167]E(f6(f17(x1671),f32(x1671),f48(a46,a1)),f17(f32(x1671))) % 0.76/0.84 [168]E(f6(f18(x1681),f32(x1681),f48(a46,a1)),f18(f32(x1681))) % 0.76/0.84 [171]E(f15(f35(f48(x1711,a1)),f48(x1711,a1)),f38(f48(x1711,a1))) % 0.76/0.84 [172]E(f15(f38(f48(x1721,a1)),f48(x1721,a1)),f35(f48(x1721,a1))) % 0.76/0.84 [182]P8(f17(f8(a20,x1821)),f7(x1821),f48(a46,a1)) % 0.76/0.84 [281]E(f17(f43(a30,x2811,a47,a46)),f43(a30,x2811,a47,a46)) % 0.76/0.84 [282]E(f18(f43(a30,x2821,a47,a46)),f43(a30,x2821,a47,a46)) % 0.76/0.84 [339]~E(f38(f48(x3391,a1)),f35(f48(x3391,a1))) % 0.76/0.84 [354]~P6(f29(x3541),f7(f3(a2)),a46) % 0.76/0.84 [367]~P6(x3671,f17(f35(f48(a46,a1))),a46) % 0.76/0.84 [145]P7(x1451,x1451,x1452) % 0.76/0.84 [153]P6(f25(x1531),f32(x1532),a46) % 0.76/0.84 [160]P8(x1601,x1601,f48(x1602,a1)) % 0.76/0.84 [303]~E(f29(x3031),f27(x3032)) % 0.76/0.84 [306]~E(f25(x3061),f27(x3062)) % 0.76/0.84 [307]~E(f25(x3071),f29(x3072)) % 0.76/0.84 [308]~E(f27(x3081),f34(a30,x3082)) % 0.76/0.84 [309]~E(f29(x3091),f34(a30,x3092)) % 0.76/0.84 [310]~E(f25(x3101),f34(a30,x3102)) % 0.76/0.84 [311]~E(f34(a30,x3111),f27(x3112)) % 0.76/0.84 [312]~E(f34(a30,x3121),f29(x3122)) % 0.76/0.84 [313]~E(f34(a30,x3131),f25(x3132)) % 0.76/0.84 [370]~P6(f27(x3701),f43(a30,x3702,a47,a46),a46) % 0.76/0.84 [371]~P6(f29(x3711),f43(a30,x3712,a47,a46),a46) % 0.76/0.84 [150]E(f5(x1501,f3(x1502),x1502),x1501) % 0.76/0.84 [151]E(f5(f3(x1511),x1512,x1511),x1512) % 0.76/0.84 [161]E(f6(x1611,x1611,f48(x1612,a1)),x1611) % 0.76/0.84 [169]P6(x1691,f38(f48(x1692,a1)),x1692) % 0.76/0.84 [170]E(f15(f15(x1701,f48(x1702,a1)),f48(x1702,a1)),x1701) % 0.76/0.84 [177]P6(f34(a30,f34(a37,x1771)),f7(x1772),a46) % 0.76/0.84 [178]P8(x1781,f38(f48(x1782,a1)),f48(x1782,a1)) % 0.76/0.84 [179]P8(f35(f48(x1791,a1)),x1792,f48(x1791,a1)) % 0.76/0.84 [180]E(f6(x1801,f35(f48(x1802,a1)),f48(x1802,a1)),x1801) % 0.76/0.84 [181]E(f6(f35(f48(x1811,a1)),x1812,f48(x1811,a1)),x1812) % 0.76/0.84 [183]P8(f8(x1831,f3(a2)),f8(x1831,x1832),f48(a46,a1)) % 0.76/0.84 [185]P6(f34(a30,f34(a37,x1851)),f8(x1851,x1852),a46) % 0.76/0.84 [188]E(f6(x1881,f38(f48(x1882,a1)),f48(x1882,a1)),f38(f48(x1882,a1))) % 0.76/0.84 [189]E(f6(f38(f48(x1891,a1)),x1892,f48(x1891,a1)),f38(f48(x1891,a1))) % 0.76/0.84 [198]E(f6(x1981,f15(x1981,f48(x1982,a1)),f48(x1982,a1)),f38(f48(x1982,a1))) % 0.76/0.84 [199]E(f6(f15(x1991,f48(x1992,a1)),x1991,f48(x1992,a1)),f38(f48(x1992,a1))) % 0.76/0.84 [249]P8(f42(x2491,f17(x2492),a46),f17(f42(x2491,x2492,a46)),f48(a46,a1)) % 0.76/0.84 [250]P8(f42(x2501,f18(x2502),a46),f18(f42(x2501,x2502,a46)),f48(a46,a1)) % 0.76/0.84 [251]P8(f42(x2511,f32(x2512),a46),f32(f42(x2511,x2512,a46)),f48(a46,a1)) % 0.76/0.84 [275]E(f6(f17(f42(x2751,f35(f48(a46,a1)),a46)),f17(x2752),f48(a46,a1)),f17(f42(x2751,x2752,a46))) % 0.76/0.84 [357]~P6(f34(f39(x3571),x3572),a33,a47) % 0.76/0.84 [358]~P6(f28(x3581,x3582),f7(f3(a2)),a46) % 0.76/0.84 [361]~P6(x3611,f35(f48(x3612,a1)),x3612) % 0.76/0.84 [173]E(f26(f42(f27(x1731),x1732,a46)),f26(x1732)) % 0.76/0.84 [174]E(f26(f42(f29(x1741),x1742,a46)),f26(x1742)) % 0.76/0.84 [175]E(f26(f42(f25(x1751),x1752,a46)),f26(x1752)) % 0.76/0.84 [184]P18(f34(f38(f48(x1841,a1)),x1842)) % 0.76/0.84 [190]E(f26(f42(f34(a30,x1901),x1902,a46)),f26(x1902)) % 0.76/0.84 [204]E(f17(f42(f27(x2041),x2042,a46)),f42(f27(x2041),f17(x2042),a46)) % 0.76/0.84 [205]E(f17(f42(f29(x2051),x2052,a46)),f42(f29(x2051),f17(x2052),a46)) % 0.76/0.84 [206]E(f17(f42(f25(x2061),x2062,a46)),f42(f25(x2061),f17(x2062),a46)) % 0.76/0.84 [207]E(f18(f42(f27(x2071),x2072,a46)),f42(f27(x2071),f18(x2072),a46)) % 0.76/0.84 [208]E(f18(f42(f29(x2081),x2082,a46)),f42(f29(x2081),f18(x2082),a46)) % 0.76/0.84 [209]E(f18(f42(f25(x2091),x2092,a46)),f42(f25(x2091),f18(x2092),a46)) % 0.76/0.84 [219]E(f17(f42(f34(a30,x2191),x2192,a46)),f42(f34(a30,x2191),f17(x2192),a46)) % 0.76/0.84 [220]E(f6(f17(x2201),f17(x2202),f48(a46,a1)),f17(f6(x2201,x2202,f48(a46,a1)))) % 0.76/0.84 [229]E(f18(f6(f18(x2291),x2292,f48(a46,a1))),f18(f6(x2291,x2292,f48(a46,a1)))) % 0.76/0.84 [270]E(f6(f18(f6(x2701,x2702,f48(a46,a1))),f32(x2701),f48(a46,a1)),f18(f6(f32(x2701),x2702,f48(a46,a1)))) % 0.76/0.84 [271]P8(f17(f6(x2711,x2712,f48(a46,a1))),f6(f17(x2711),f17(x2712),f48(a46,a1)),f48(a46,a1)) % 0.76/0.84 [272]P8(f6(f17(x2721),f17(x2722),f48(a46,a1)),f17(f6(x2721,x2722,f48(a46,a1))),f48(a46,a1)) % 0.76/0.84 [273]P8(f6(f18(x2731),f18(x2732),f48(a46,a1)),f18(f6(x2731,x2732,f48(a46,a1))),f48(a46,a1)) % 0.76/0.84 [274]P8(f6(f32(x2741),f32(x2742),f48(a46,a1)),f32(f6(x2741,x2742,f48(a46,a1))),f48(a46,a1)) % 0.76/0.84 [362]~P6(f29(x3621),f17(f8(x3622,f3(a2))),a46) % 0.76/0.84 [363]~P18(f34(f35(f48(x3631,a1)),x3632)) % 0.76/0.84 [368]~P6(f34(a24,f34(f39(x3681),x3682)),a33,a47) % 0.76/0.84 [227]P6(f34(a30,f34(a24,f34(f39(x2271),x2272))),f8(x2272,f3(a2)),a46) % 0.76/0.84 [194]P6(x1941,f42(x1941,x1942,x1943),x1943) % 0.76/0.84 [202]P8(x2021,f42(x2022,x2021,x2023),f48(x2023,a1)) % 0.76/0.84 [314]~E(f27(x3141),f28(x3142,x3143)) % 0.76/0.84 [315]~E(f27(x3151),f31(x3152,x3153)) % 0.76/0.84 [316]~E(f29(x3161),f28(x3162,x3163)) % 0.76/0.84 [317]~E(f29(x3171),f31(x3172,x3173)) % 0.76/0.84 [318]~E(f25(x3181),f28(x3182,x3183)) % 0.76/0.84 [319]~E(f25(x3191),f31(x3192,x3193)) % 0.76/0.84 [320]~E(f28(x3201,x3202),f27(x3203)) % 0.76/0.84 [321]~E(f28(x3211,x3212),f29(x3213)) % 0.76/0.84 [322]~E(f28(x3221,x3222),f25(x3223)) % 0.76/0.84 [323]~E(f31(x3231,x3232),f27(x3233)) % 0.76/0.84 [324]~E(f31(x3241,x3242),f29(x3243)) % 0.76/0.84 [325]~E(f31(x3251,x3252),f25(x3253)) % 0.76/0.84 [326]~E(f28(x3261,x3262),f34(a30,x3263)) % 0.76/0.84 [327]~E(f31(x3271,x3272),f34(a30,x3273)) % 0.76/0.84 [328]~E(f34(a30,x3281),f28(x3282,x3283)) % 0.76/0.84 [329]~E(f34(a30,x3291),f31(x3292,x3293)) % 0.76/0.84 [341]~E(f16(x3411,x3412,x3413),x3412) % 0.76/0.84 [345]~E(f16(x3451,x3452,x3453),f3(x3453)) % 0.76/0.84 [372]~P6(f28(x3721,x3722),f43(a30,x3723,a47,a46),a46) % 0.76/0.84 [187]E(f6(x1871,x1872,f48(x1873,a1)),f6(x1872,x1871,f48(x1873,a1))) % 0.76/0.84 [210]E(f42(x2101,f19(x2102,x2103),x2103),f19(f16(x2101,x2102,x2103),x2103)) % 0.76/0.84 [213]E(f42(x2131,f42(x2131,x2132,x2133),x2133),f42(x2131,x2132,x2133)) % 0.76/0.84 [217]P8(x2171,f6(x2172,x2171,f48(x2173,a1)),f48(x2173,a1)) % 0.76/0.84 [218]P8(x2181,f6(x2181,x2182,f48(x2183,a1)),f48(x2183,a1)) % 0.76/0.84 [221]P18(f34(f42(x2211,x2212,x2213),x2211)) % 0.76/0.84 [223]E(f6(f19(x2231,x2232),f19(x2233,x2232),f48(x2232,a1)),f19(f5(x2231,x2233,x2232),x2232)) % 0.76/0.84 [228]E(f6(x2281,f6(x2281,x2282,f48(x2283,a1)),f48(x2283,a1)),f6(x2281,x2282,f48(x2283,a1))) % 0.76/0.84 [241]P8(f8(x2411,x2412),f8(x2411,f16(x2413,x2412,a2)),f48(a46,a1)) % 0.76/0.84 [242]E(f6(f42(x2421,f35(f48(x2422,a1)),x2422),x2423,f48(x2422,a1)),f42(x2421,x2423,x2422)) % 0.76/0.84 [243]P8(f19(x2431,x2432),f19(f16(x2433,x2431,x2432),x2432),f48(x2432,a1)) % 0.76/0.84 [334]~E(f34(a37,x3341),f34(f39(x3342),x3343)) % 0.76/0.84 [335]~E(f34(f39(x3351),x3352),f34(a37,x3353)) % 0.76/0.84 [355]~E(f42(x3551,x3552,x3553),f35(f48(x3553,a1))) % 0.76/0.84 [356]~E(f35(f48(x3561,a1)),f42(x3562,x3563,x3561)) % 0.76/0.84 [373]~P6(f34(a37,x3731),f43(f39(x3732),x3733,a44,a47),a47) % 0.76/0.84 [374]~P6(f34(f39(x3741),x3742),f43(a37,x3743,a44,a47),a47) % 0.76/0.84 [191]P6(f34(a30,f34(f39(x1911),x1912)),f7(x1913),a46) % 0.76/0.84 [195]E(f7(f16(f9(x1951,x1952),x1953,a2)),f7(x1953)) % 0.76/0.84 [196]E(f26(f42(f31(x1961,x1962),x1963,a46)),f26(x1963)) % 0.76/0.84 [197]P6(f34(a30,f34(f39(x1971),x1972)),f8(a20,x1973),a46) % 0.76/0.84 [200]E(f8(a20,f16(f9(x2001,x2002),x2003,a2)),f8(a20,x2003)) % 0.76/0.84 [203]P6(f34(a30,f34(f39(x2031),x2032)),f8(x2033,f3(a2)),a46) % 0.76/0.85 [211]P6(f34(a30,f34(f39(x2111),x2112)),f18(f8(a20,x2113)),a46) % 0.76/0.85 [222]E(f8(x2221,f16(f10(x2221,x2222),x2223,a2)),f42(x2222,f8(x2221,x2223),a46)) % 0.76/0.85 [240]E(f43(x2401,f35(f48(x2402,a1)),x2402,x2403),f35(f48(x2403,a1))) % 0.76/0.85 [262]E(f42(f28(x2621,x2622),f17(f42(x2622,x2623,a46)),a46),f17(f42(f28(x2621,x2622),x2623,a46))) % 0.76/0.85 [276]E(f7(f16(f10(x2761,x2762),x2763,a2)),f6(f17(f42(x2762,f35(f48(a46,a1)),a46)),f7(x2763),f48(a46,a1))) % 0.76/0.85 [292]P8(f18(f42(f28(x2921,x2922),x2923,a46)),f42(f28(x2921,x2922),f18(f42(x2922,x2923,a46)),a46),f48(a46,a1)) % 0.76/0.85 [295]E(f6(f6(f17(f42(x2951,f35(f48(a46,a1)),a46)),f17(f42(x2952,f35(f48(a46,a1)),a46)),f48(a46,a1)),f17(x2953),f48(a46,a1)),f17(f42(x2951,f42(x2952,x2953,a46),a46))) % 0.76/0.85 [346]~E(f34(a37,x3461),f34(a24,f34(f39(x3462),x3463))) % 0.76/0.85 [347]~E(f34(a24,f34(f39(x3471),x3472)),f34(a37,x3473)) % 0.76/0.85 [366]~P6(f28(x3661,x3662),f17(f8(x3663,f3(a2))),a46) % 0.76/0.85 [375]~P6(f34(a24,f34(f39(x3751),x3752)),f43(a37,x3753,a44,a47),a47) % 0.76/0.85 [377]~P6(f34(a37,x3771),f43(a24,f43(f39(x3772),x3773,a44,a47),a47,a47),a47) % 0.76/0.85 [225]P6(f34(a30,f34(a24,f34(f39(x2251),x2252))),f7(x2253),a46) % 0.76/0.85 [261]E(f8(a20,f5(x2611,f16(f9(x2612,x2613),f3(a2),a2),a2)),f8(a20,x2611)) % 0.76/0.85 [287]E(f42(f31(x2871,x2872),f17(f42(x2871,f42(x2872,x2873,a46),a46)),a46),f17(f42(f31(x2871,x2872),x2873,a46))) % 0.76/0.85 [288]E(f42(f31(x2881,x2882),f18(f42(x2881,f42(x2882,x2883,a46),a46)),a46),f18(f42(f31(x2881,x2882),x2883,a46))) % 0.76/0.85 [331]~E(f31(x3311,x3312),f28(x3313,x3314)) % 0.76/0.85 [333]~E(f9(x3331,x3332),f10(x3333,x3334)) % 0.76/0.85 [230]E(f42(x2301,f42(x2302,x2303,x2304),x2304),f42(x2302,f42(x2301,x2303,x2304),x2304)) % 0.76/0.85 [236]E(f16(x2361,f5(x2362,x2363,x2364),x2364),f5(f16(x2361,x2362,x2364),x2363,x2364)) % 0.76/0.85 [238]E(f5(f5(x2381,x2382,x2383),x2384,x2383),f5(x2381,f5(x2382,x2384,x2383),x2383)) % 0.76/0.85 [263]E(f6(x2631,f6(x2632,x2633,f48(x2634,a1)),f48(x2634,a1)),f6(x2632,f6(x2631,x2633,f48(x2634,a1)),f48(x2634,a1))) % 0.76/0.85 [265]E(f6(f6(x2651,x2652,f48(x2653,a1)),x2654,f48(x2653,a1)),f6(x2651,f6(x2652,x2654,f48(x2653,a1)),f48(x2653,a1))) % 0.76/0.85 [244]E(f42(x2441,f6(x2442,x2443,f48(x2444,a1)),x2444),f6(x2442,f42(x2441,x2443,x2444),f48(x2444,a1))) % 0.76/0.85 [245]E(f42(x2451,f6(x2452,x2453,f48(x2454,a1)),x2454),f6(f42(x2451,x2452,x2454),x2453,f48(x2454,a1))) % 0.76/0.85 [252]E(f8(a20,f16(f11(x2521,x2522,x2523),x2524,a2)),f42(x2523,f8(a20,x2524),a46)) % 0.76/0.85 [256]E(f8(x2561,f16(f11(x2561,x2562,x2563),x2564,a2)),f42(x2563,f8(x2561,x2564),a46)) % 0.76/0.85 [278]P6(f34(x2781,x2782),f43(x2781,f38(f48(x2783,a1)),x2783,x2784),x2784) % 0.76/0.85 [280]P6(x2801,f19(f5(x2802,f16(x2801,x2803,x2804),x2804),x2804),x2804) % 0.76/0.85 [285]E(f7(f16(f11(x2851,x2852,x2853),x2854,a2)),f6(f17(f42(x2853,f35(f48(a46,a1)),a46)),f7(x2854),f48(a46,a1))) % 0.76/0.85 [352]~E(f34(f39(x3521),x3522),f34(a24,f34(f39(x3523),x3524))) % 0.76/0.85 [353]~E(f34(a24,f34(f39(x3531),x3532)),f34(f39(x3533),x3534)) % 0.76/0.85 [376]~P6(f34(a24,f34(f39(x3761),x3762)),f43(f39(x3763),x3764,a44,a47),a47) % 0.76/0.85 [378]~P6(f34(f39(x3781),x3782),f43(a24,f43(f39(x3783),x3784,a44,a47),a47,a47),a47) % 0.76/0.85 [286]E(f8(a20,f5(x2861,f16(f11(x2862,x2863,x2864),f3(a2),a2),a2)),f42(x2864,f8(a20,x2861),a46)) % 0.76/0.85 [348]~E(f10(x3481,x3482),f11(x3483,x3484,x3485)) % 0.76/0.85 [349]~E(f9(x3491,x3492),f11(x3493,x3494,x3495)) % 0.76/0.85 [350]~E(f11(x3501,x3502,x3503),f10(x3504,x3505)) % 0.76/0.85 [351]~E(f11(x3511,x3512,x3513),f9(x3514,x3515)) % 0.76/0.85 [290]E(f43(x2901,f42(x2902,x2903,x2904),x2904,x2905),f42(f34(x2901,x2902),f43(x2901,x2903,x2904,x2905),x2905)) % 0.76/0.85 [291]E(f42(f34(x2911,x2912),f43(x2911,x2913,x2914,x2915),x2915),f43(x2911,f42(x2912,x2913,x2914),x2914,x2915)) % 0.76/0.85 [294]E(f6(f43(x2941,x2942,x2943,x2944),f43(x2941,x2945,x2943,x2944),f48(x2944,a1)),f43(x2941,f6(x2942,x2945,f48(x2943,a1)),x2943,x2944)) % 0.76/0.85 [431]E(f34(a24,x4311),x4311)+~P6(x4311,a33,a47) % 0.76/0.85 [455]~P6(x4551,a33,a47)+P6(f34(a24,x4551),a33,a47) % 0.76/0.85 [464]P6(x4641,a33,a47)+~P6(f34(a24,x4641),a33,a47) % 0.76/0.85 [382]~P2(x3821)+E(f15(f35(x3821),x3821),f38(x3821)) % 0.76/0.85 [383]~P2(x3831)+E(f15(f38(x3831),x3831),f35(x3831)) % 0.76/0.85 [411]~P14(x4112)+P8(x4111,x4111,x4112) % 0.76/0.85 [412]~P17(x4122)+P8(x4121,x4121,x4122) % 0.76/0.85 [379]E(x3791,x3792)+~E(f27(x3791),f27(x3792)) % 0.76/0.85 [380]E(x3801,x3802)+~E(f29(x3801),f29(x3802)) % 0.76/0.85 [381]E(x3811,x3812)+~E(f25(x3811),f25(x3812)) % 0.76/0.85 [384]~P1(x3842)+P1(f48(x3841,x3842)) % 0.76/0.85 [385]~P9(x3852)+P9(f48(x3851,x3852)) % 0.76/0.85 [386]~P2(x3862)+P2(f48(x3861,x3862)) % 0.76/0.85 [387]~P14(x3872)+P14(f48(x3871,x3872)) % 0.76/0.85 [388]~P11(x3882)+P10(f48(x3881,x3882)) % 0.76/0.85 [389]~P16(x3892)+P16(f48(x3891,x3892)) % 0.76/0.85 [390]~P17(x3902)+P17(f48(x3901,x3902)) % 0.76/0.85 [391]~P11(x3912)+P11(f48(x3911,x3912)) % 0.76/0.85 [392]~P3(x3922)+P3(f48(x3921,x3922)) % 0.76/0.85 [393]E(x3931,x3932)+~E(f34(a30,x3931),f34(a30,x3932)) % 0.76/0.85 [394]E(x3941,x3942)+~E(f34(a24,x3941),f34(a24,x3942)) % 0.76/0.85 [395]E(x3951,x3952)+~E(f34(a37,x3951),f34(a37,x3952)) % 0.76/0.85 [413]~P10(x4132)+E(f6(x4131,x4131,x4132),x4131) % 0.76/0.85 [416]~P16(x4162)+P8(x4161,f38(x4162),x4162) % 0.76/0.85 [417]~P9(x4171)+P8(f35(x4171),x4172,x4171) % 0.76/0.85 [446]~P6(x4461,x4462,a46)+P6(x4461,f17(x4462),a46) % 0.76/0.85 [447]~P6(x4471,x4472,a46)+P6(x4471,f18(x4472),a46) % 0.76/0.85 [448]~P6(x4481,x4482,a46)+P6(x4481,f32(x4482),a46) % 0.76/0.85 [454]~P6(x4541,f18(x4542),a46)+P6(x4541,f17(x4542),a46) % 0.76/0.85 [456]P6(f27(x4561),f32(x4562),a46)+~P6(x4561,f32(x4562),a46) % 0.76/0.85 [459]~P6(f29(x4591),f32(x4592),a46)+P6(f29(x4591),x4592,a46) % 0.76/0.85 [497]~P8(x4971,x4972,f48(a46,a1))+P8(f17(x4971),f17(x4972),f48(a46,a1)) % 0.76/0.85 [498]~P8(x4981,x4982,f48(a46,a1))+P8(f18(x4981),f18(x4982),f48(a46,a1)) % 0.76/0.85 [499]~P8(x4991,x4992,f48(a46,a1))+P8(f32(x4991),f32(x4992),f48(a46,a1)) % 0.76/0.85 [500]~P8(x5001,x5002,f48(a46,a1))+P8(f26(x5001),f26(x5002),f48(a47,a1)) % 0.76/0.85 [503]~P6(f34(a30,x5031),f32(x5032),a46)+P6(f34(a30,x5031),x5032,a46) % 0.76/0.85 [505]P8(f17(x5051),f17(x5052),f48(a46,a1))+~P8(x5051,f17(x5052),f48(a46,a1)) % 0.76/0.85 [506]P8(f18(x5061),f18(x5062),f48(a46,a1))+~P8(x5061,f18(x5062),f48(a46,a1)) % 0.76/0.85 [507]P8(f32(x5071),f32(x5072),f48(a46,a1))+~P8(x5071,f32(x5072),f48(a46,a1)) % 0.76/0.85 [513]P8(x5131,f17(x5132),f48(a46,a1))+~P8(f17(x5131),f17(x5132),f48(a46,a1)) % 0.76/0.85 [514]P8(x5141,f18(x5142),f48(a46,a1))+~P8(f18(x5141),f18(x5142),f48(a46,a1)) % 0.76/0.85 [515]P8(x5151,f32(x5152),f48(a46,a1))+~P8(f32(x5151),f32(x5152),f48(a46,a1)) % 0.76/0.85 [673]P6(x6731,x6732,a44)+~P6(f34(a37,x6731),f43(a37,x6732,a44,a47),a47) % 0.76/0.85 [674]P6(x6741,x6742,a47)+~P6(f34(a30,x6741),f43(a30,x6742,a47,a46),a46) % 0.76/0.85 [675]P6(x6751,x6752,a47)+~P6(f34(a24,x6751),f43(a24,x6752,a47,a47),a47) % 0.76/0.85 [406]~P2(x4062)+E(f15(f15(x4061,x4062),x4062),x4061) % 0.76/0.85 [408]~P12(x4082)+E(f15(f15(x4081,x4082),x4082),x4081) % 0.76/0.85 [418]~P1(x4182)+E(f6(x4181,f35(x4182),x4182),x4181) % 0.76/0.85 [419]~P1(x4191)+E(f6(f35(x4191),x4192,x4191),x4192) % 0.76/0.85 [420]E(x4201,f3(x4202))+~E(f19(x4201,x4202),f35(f48(x4202,a1))) % 0.76/0.85 [421]E(x4211,f3(x4212))+~E(f35(f48(x4212,a1)),f19(x4211,x4212)) % 0.76/0.85 [422]~P1(x4222)+E(f6(x4221,f38(x4222),x4222),f38(x4222)) % 0.76/0.85 [423]~P1(x4231)+E(f6(f38(x4231),x4232,x4231),f38(x4231)) % 0.76/0.85 [425]~P2(x4252)+E(f6(x4251,f15(x4251,x4252),x4252),f38(x4252)) % 0.76/0.85 [426]~P2(x4262)+E(f6(f15(x4261,x4262),x4261,x4262),f38(x4262)) % 0.76/0.85 [465]P6(x4651,f17(x4652),a46)+~P6(x4651,f17(f17(x4652)),a46) % 0.76/0.85 [466]P6(x4661,f18(x4662),a46)+~P6(x4661,f18(f18(x4662)),a46) % 0.76/0.85 [467]P6(x4671,f32(x4672),a46)+~P6(x4671,f32(f32(x4672)),a46) % 0.76/0.85 [501]~P6(x5011,f17(x5012),a46)+E(f17(f42(x5011,x5012,a46)),f17(x5012)) % 0.76/0.85 [502]~P6(x5021,f18(x5022),a46)+E(f18(f42(x5021,x5022,a46)),f18(x5022)) % 0.76/0.85 [520]P6(x5201,f7(x5202),a46)+~P6(x5201,f17(f8(a20,x5202)),a46) % 0.76/0.85 [523]~P6(x5231,a4,a44)+P6(f34(a30,f34(a37,x5231)),f8(a20,x5232),a46) % 0.76/0.85 [524]~P8(x5241,x5242,f48(a46,a1))+P8(f32(f18(x5241)),f32(f18(x5242)),f48(a46,a1)) % 0.76/0.85 [527]~P8(x5271,f35(f48(x5272,a1)),f48(x5272,a1))+E(x5271,f35(f48(x5272,a1))) % 0.76/0.85 [542]~P8(x5421,f15(x5421,f48(x5422,a1)),f48(x5422,a1))+E(x5421,f35(f48(x5422,a1))) % 0.76/0.85 [642]P8(f17(f42(x6421,x6422,a46)),f6(f32(f18(x6422)),f17(x6422),f48(a46,a1)),f48(a46,a1))+~P6(x6421,f32(f18(x6422)),a46) % 0.76/0.85 [565]P6(x5651,f26(f18(x5652)),a47)+E(f18(f42(f34(a30,x5651),x5652,a46)),f42(f34(a30,x5651),f18(x5652),a46)) % 0.76/0.85 [582]~P6(x5821,f32(f18(x5822)),a46)+E(f32(f18(f42(x5821,x5822,a46))),f32(f18(x5822))) % 0.76/0.85 [682]P6(f34(a30,x6821),f7(x6822),a46)+~P6(x6821,f43(a37,f38(f48(a44,a1)),a44,a47),a47) % 0.76/0.85 [636]~P6(x6361,f7(x6362),a46)+P8(f17(f42(x6361,f35(f48(a46,a1)),a46)),f7(x6362),f48(a46,a1)) % 0.76/0.85 [659]~P6(x6591,f32(f18(x6592)),a46)+P8(f17(f42(x6591,f35(f48(a46,a1)),a46)),f6(f32(f18(x6592)),f17(x6592),f48(a46,a1)),f48(a46,a1)) % 0.76/0.85 [424]E(x4241,x4242)+~P7(x4241,x4242,x4243) % 0.76/0.85 [429]~E(f5(x4293,x4291,x4292),x4293)+E(x4291,f3(x4292)) % 0.76/0.85 [430]~E(f5(x4301,x4303,x4302),x4303)+E(x4301,f3(x4302)) % 0.76/0.85 [434]~E(f5(x4343,x4341,x4342),f3(x4342))+E(x4341,f3(x4342)) % 0.76/0.85 [435]~E(f5(x4351,x4353,x4352),f3(x4352))+E(x4351,f3(x4352)) % 0.76/0.85 [436]P6(x4361,x4362,x4363)+~P18(f34(x4362,x4361)) % 0.76/0.85 [439]~P10(x4393)+E(f6(x4391,x4392,x4393),f6(x4392,x4391,x4393)) % 0.76/0.85 [440]~P11(x4403)+E(f6(x4401,x4402,x4403),f6(x4402,x4401,x4403)) % 0.76/0.85 [441]~P6(x4412,x4411,x4413)+P18(f34(x4411,x4412)) % 0.76/0.85 [445]~P6(x4451,x4452,x4453)+E(f42(x4451,x4452,x4453),x4452) % 0.76/0.85 [460]~P10(x4603)+P8(x4601,f6(x4602,x4601,x4603),x4603) % 0.76/0.85 [461]~P11(x4613)+P8(x4611,f6(x4612,x4611,x4613),x4613) % 0.76/0.85 [462]~P10(x4623)+P8(x4621,f6(x4621,x4622,x4623),x4623) % 0.76/0.85 [463]~P11(x4633)+P8(x4631,f6(x4631,x4632,x4633),x4633) % 0.76/0.85 [482]P6(x4821,f17(x4822),a46)+~P6(f28(x4823,x4821),f17(x4822),a46) % 0.76/0.85 [483]P6(x4831,f17(x4832),a46)+~P6(f31(x4833,x4831),f17(x4832),a46) % 0.76/0.85 [484]P6(x4841,f17(x4842),a46)+~P6(f31(x4841,x4843),f17(x4842),a46) % 0.76/0.85 [485]P6(x4851,f18(x4852),a46)+~P6(f31(x4853,x4851),f18(x4852),a46) % 0.76/0.85 [486]P6(x4861,f18(x4862),a46)+~P6(f31(x4861,x4863),f18(x4862),a46) % 0.76/0.85 [487]P6(x4871,f7(x4872),a46)+~P6(f31(x4873,x4871),f7(x4872),a46) % 0.76/0.85 [488]P6(x4881,f7(x4882),a46)+~P6(f31(x4881,x4883),f7(x4882),a46) % 0.76/0.85 [504]~P6(f28(x5041,x5043),x5042,a46)+P6(f34(a24,x5041),f26(x5042),a47) % 0.76/0.85 [516]P6(x5161,f7(x5162),a46)+~P6(f10(x5163,x5161),f19(x5162,a2),a2) % 0.76/0.85 [531]P6(x5311,f8(x5312,x5313),a46)+~P6(f10(x5312,x5311),f19(x5313,a2),a2) % 0.76/0.85 [444]E(x4441,x4442)+~E(f15(x4441,f48(x4443,a1)),f15(x4442,f48(x4443,a1))) % 0.76/0.85 [475]P6(x4751,x4752,x4753)+P6(x4751,f15(x4752,f48(x4753,a1)),x4753) % 0.76/0.85 [480]E(x4801,f35(f48(x4802,a1)))+~E(f6(x4803,x4801,f48(x4802,a1)),f35(f48(x4802,a1))) % 0.76/0.85 [481]E(x4811,f35(f48(x4812,a1)))+~E(f6(x4811,x4813,f48(x4812,a1)),f35(f48(x4812,a1))) % 0.76/0.85 [493]~P8(x4931,x4932,f48(x4933,a1))+E(f6(x4931,x4932,f48(x4933,a1)),x4932) % 0.76/0.85 [494]~P8(x4942,x4941,f48(x4943,a1))+E(f6(x4941,x4942,f48(x4943,a1)),x4941) % 0.76/0.85 [495]P8(x4951,x4952,f48(x4953,a1))+~E(f6(x4951,x4952,f48(x4953,a1)),x4952) % 0.76/0.85 [518]~P10(x5183)+E(f6(x5181,f6(x5181,x5182,x5183),x5183),f6(x5181,x5182,x5183)) % 0.76/0.85 [519]~P11(x5193)+E(f6(x5191,f6(x5191,x5192,x5193),x5193),f6(x5191,x5192,x5193)) % 0.76/0.85 [521]P6(x5211,f32(f18(x5212)),a46)+~P6(f31(x5213,x5211),f32(f18(x5212)),a46) % 0.76/0.85 [522]P6(x5221,f32(f18(x5222)),a46)+~P6(f31(x5221,x5223),f32(f18(x5222)),a46) % 0.76/0.85 [525]~E(f18(x5252),f18(x5253))+E(f18(f42(x5251,x5252,a46)),f18(f42(x5251,x5253,a46))) % 0.76/0.85 [556]~P6(x5561,x5562,x5563)+~P6(x5561,f15(x5562,f48(x5563,a1)),x5563) % 0.76/0.85 [587]~P8(x5873,x5871,f48(x5872,a1))+P8(f15(x5871,f48(x5872,a1)),f15(x5873,f48(x5872,a1)),f48(x5872,a1)) % 0.76/0.85 [592]~P6(x5921,f17(x5923),a46)+P6(x5921,f17(f42(x5922,x5923,a46)),a46) % 0.76/0.85 [593]~P6(x5931,f18(x5933),a46)+P6(x5931,f18(f42(x5932,x5933,a46)),a46) % 0.76/0.85 [617]P8(x6171,x6172,f48(x6173,a1))+~P8(f15(x6172,f48(x6173,a1)),f15(x6171,f48(x6173,a1)),f48(x6173,a1)) % 0.76/0.85 [631]~P6(x6311,x6313,a46)+P8(f17(f42(x6311,x6312,a46)),f6(f17(x6313),f17(x6312),f48(a46,a1)),f48(a46,a1)) % 0.76/0.85 [686]P8(f18(f42(x6861,x6862,a46)),f6(f32(f18(x6863)),f18(f6(x6863,x6862,f48(a46,a1))),f48(a46,a1)),f48(a46,a1))+~P6(x6861,f32(f18(x6863)),a46) % 0.76/0.85 [528]P6(x5281,a4,a44)+E(f8(a20,f16(f10(x5281,x5282),x5283,a2)),f8(a20,x5283)) % 0.76/0.85 [538]E(x5381,a20)+E(f8(x5381,f16(f9(x5381,x5382),x5383,a2)),f42(x5382,f8(x5381,x5383),a46)) % 0.76/0.85 [539]P6(x5391,f7(x5392),a46)+~P6(x5391,f17(f8(x5393,f3(a2))),a46) % 0.76/0.85 [575]~P6(x5751,a4,a44)+E(f8(a20,f16(f10(x5751,x5752),x5753,a2)),f42(x5752,f8(a20,x5753),a46)) % 0.76/0.85 [581]E(x5811,x5812)+~E(f42(x5811,f35(f48(x5813,a1)),x5813),f42(x5812,f35(f48(x5813,a1)),x5813)) % 0.76/0.85 [599]P6(f34(a30,f34(a24,x5991)),f18(x5993),a46)+E(f18(f42(f28(x5991,x5992),x5993,a46)),f42(f28(x5991,x5992),f18(x5993),a46)) % 0.76/0.85 [614]E(x6141,x6142)+~P6(x6141,f42(x6142,f35(f48(x6143,a1)),x6143),x6143) % 0.76/0.85 [621]~P6(x6211,f18(x6213),a46)+P6(x6211,f18(f6(x6212,x6213,f48(a46,a1))),a46) % 0.76/0.85 [650]~P6(f34(a30,f34(a24,x6501)),f18(x6503),a46)+E(f42(f28(x6501,x6502),f18(f42(x6502,x6503,a46)),a46),f18(f42(f28(x6501,x6502),x6503,a46))) % 0.76/0.85 [685]P8(f42(f28(x6851,x6852),f18(f42(x6852,x6853,a46)),a46),f18(f42(f28(x6851,x6852),x6853,a46)),f48(a46,a1))+~P6(f34(a30,f34(a24,x6851)),f18(x6853),a46) % 0.76/0.85 [699]~P6(x6992,x6993,a44)+P6(f34(a24,f34(f39(x6991),x6992)),f43(a24,f43(f39(x6991),x6993,a44,a47),a47,a47),a47) % 0.76/0.85 [712]~P6(x7121,x7122,a47)+P6(f34(a30,x7121),f18(f6(f43(a30,x7122,a47,a46),x7123,f48(a46,a1))),a46) % 0.76/0.85 [600]~P6(x6002,a4,a44)+P6(f34(a30,f34(a24,f34(f39(x6001),x6002))),f8(a20,x6003),a46) % 0.76/0.85 [628]P6(x6282,a4,a44)+E(f8(a20,f5(x6281,f16(f10(x6282,x6283),f3(a2),a2),a2)),f8(a20,x6281)) % 0.76/0.85 [643]~P6(x6432,a4,a44)+E(f8(a20,f5(x6431,f16(f10(x6432,x6433),f3(a2),a2),a2)),f42(x6433,f8(a20,x6431),a46)) % 0.76/0.85 [396]E(x3961,x3962)+~E(f10(x3963,x3961),f10(x3964,x3962)) % 0.76/0.85 [397]E(x3971,x3972)+~E(f28(x3973,x3971),f28(x3974,x3972)) % 0.76/0.85 [398]E(x3981,x3982)+~E(f31(x3983,x3981),f31(x3984,x3982)) % 0.76/0.85 [399]E(x3991,x3992)+~E(f9(x3993,x3991),f9(x3994,x3992)) % 0.76/0.85 [400]E(x4001,x4002)+~E(f10(x4001,x4003),f10(x4002,x4004)) % 0.76/0.85 [401]E(x4011,x4012)+~E(f28(x4011,x4013),f28(x4012,x4014)) % 0.76/0.85 [402]E(x4021,x4022)+~E(f31(x4021,x4023),f31(x4022,x4024)) % 0.76/0.85 [403]E(x4031,x4032)+~E(f9(x4031,x4033),f9(x4032,x4034)) % 0.76/0.85 [471]E(x4711,x4712)+~E(f5(x4713,x4711,x4714),f5(x4713,x4712,x4714)) % 0.76/0.85 [474]E(x4741,x4742)+~E(f5(x4741,x4743,x4744),f5(x4742,x4743,x4744)) % 0.76/0.85 [537]~P6(x5371,x5373,x5374)+P6(x5371,f42(x5372,x5373,x5374),x5374) % 0.76/0.85 [564]~P8(x5641,x5643,f48(x5644,a1))+P8(x5641,f42(x5642,x5643,x5644),f48(x5644,a1)) % 0.76/0.85 [590]P6(x5901,x5902,x5903)+~P8(f42(x5901,x5904,x5903),x5902,f48(x5903,a1)) % 0.76/0.85 [591]P6(x5911,f7(x5912),a46)+~P6(f11(x5913,x5914,x5911),f19(x5912,a2),a2) % 0.76/0.85 [596]P6(x5961,f8(a20,x5962),a46)+~P6(f11(x5963,x5964,x5961),f19(x5962,a2),a2) % 0.76/0.85 [597]P6(x5971,f8(x5972,x5973),a46)+~P6(f11(x5972,x5974,x5971),f19(x5973,a2),a2) % 0.76/0.85 [598]~P8(f42(x5984,x5981,x5983),x5982,f48(x5983,a1))+P8(x5981,x5982,f48(x5983,a1)) % 0.76/0.85 [610]~P8(x6102,x6104,f48(x6103,a1))+P8(f42(x6101,x6102,x6103),f42(x6101,x6104,x6103),f48(x6103,a1)) % 0.76/0.85 [414]E(x4141,x4142)+~E(f34(f39(x4143),x4141),f34(f39(x4144),x4142)) % 0.76/0.85 [415]E(x4151,x4152)+~E(f34(f39(x4151),x4153),f34(f39(x4152),x4154)) % 0.76/0.85 [560]~P18(f34(x5602,x5604))+P18(f34(f42(x5601,x5602,x5603),x5604)) % 0.76/0.85 [561]~P6(x5611,x5613,x5614)+P6(x5611,f6(x5612,x5613,f48(x5614,a1)),x5614) % 0.76/0.85 [562]~P6(x5621,x5622,x5624)+P6(x5621,f6(x5622,x5623,f48(x5624,a1)),x5624) % 0.76/0.85 [577]~P10(x5774)+E(f6(x5771,f6(x5772,x5773,x5774),x5774),f6(x5772,f6(x5771,x5773,x5774),x5774)) % 0.76/0.85 [578]~P11(x5784)+E(f6(x5781,f6(x5782,x5783,x5784),x5784),f6(x5782,f6(x5781,x5783,x5784),x5784)) % 0.76/0.85 [579]~P10(x5793)+E(f6(f6(x5791,x5792,x5793),x5794,x5793),f6(x5791,f6(x5792,x5794,x5793),x5793)) % 0.76/0.85 [580]~P11(x5803)+E(f6(f6(x5801,x5802,x5803),x5804,x5803),f6(x5801,f6(x5802,x5804,x5803),x5803)) % 0.76/0.85 [604]~P6(f11(x6043,x6044,x6041),f19(x6042,a2),a2)+P6(x6041,f17(f8(a20,x6042)),a46) % 0.76/0.85 [605]~P6(f11(x6053,x6054,x6051),f19(x6052,a2),a2)+P6(x6051,f18(f8(a20,x6052)),a46) % 0.76/0.85 [619]P8(x6191,x6192,f48(x6193,a1))+~P8(f6(x6194,x6191,f48(x6193,a1)),x6192,f48(x6193,a1)) % 0.76/0.85 [620]P8(x6201,x6202,f48(x6203,a1))+~P8(f6(x6201,x6204,f48(x6203,a1)),x6202,f48(x6203,a1)) % 0.76/0.85 [623]~E(f43(x6233,x6231,x6232,x6234),f35(f48(x6234,a1)))+E(x6231,f35(f48(x6232,a1))) % 0.76/0.85 [672]E(x6721,x6722)+~P6(f34(f39(x6721),x6723),f43(f39(x6722),x6724,a44,a47),a47) % 0.76/0.85 [678]P6(x6781,x6782,a44)+~P6(f34(f39(x6783),x6781),f43(f39(x6784),x6782,a44,a47),a47) % 0.76/0.85 [692]~P5(x6921,x6922,x6923,x6924)+P6(f11(x6921,x6922,f55(x6921,x6922,x6923,x6924)),f19(x6924,a2),a2) % 0.76/0.85 [601]~P18(f34(x6012,x6014))+P18(f34(f6(x6011,x6012,f48(x6013,a1)),x6014)) % 0.76/0.85 [602]~P18(f34(x6021,x6024))+P18(f34(f6(x6021,x6022,f48(x6023,a1)),x6024)) % 0.76/0.85 [717]E(x7171,x7172)+~P6(f34(a24,f34(f39(x7171),x7173)),f43(a24,f43(f39(x7172),x7174,a44,a47),a47,a47),a47) % 0.76/0.85 [718]P6(x7181,x7182,a44)+~P6(f34(a24,f34(f39(x7183),x7181)),f43(a24,f43(f39(x7184),x7182,a44,a47),a47,a47),a47) % 0.76/0.85 [669]~P6(x6691,f18(f8(a20,x6694)),a46)+P6(x6691,f18(f8(a20,f16(f10(x6692,x6693),x6694,a2))),a46) % 0.76/0.85 [670]~P6(x6701,f18(f8(a20,x6704)),a46)+P6(x6701,f18(f8(a20,f16(f9(x6702,x6703),x6704,a2))),a46) % 0.76/0.85 [720]~P5(x7202,x7203,x7201,x7204)+P6(x7201,f17(f42(f55(x7202,x7203,x7201,x7204),f35(f48(a46,a1)),a46)),a46) % 0.76/0.85 [469]E(x4691,x4692)+~E(f16(x4693,x4691,x4694),f16(x4695,x4692,x4694)) % 0.76/0.85 [472]E(x4721,x4722)+~E(f16(x4721,x4723,x4724),f16(x4722,x4725,x4724)) % 0.76/0.85 [654]~P6(x6542,x6543,x6544)+P6(f34(x6541,x6542),f43(x6541,x6543,x6544,x6545),x6545) % 0.76/0.85 [688]~P8(x6882,x6885,f48(x6883,a1))+P8(f43(x6881,x6882,x6883,x6884),f43(x6881,x6885,x6883,x6884),f48(x6884,a1)) % 0.76/0.85 [671]~P6(x6712,x6713,x6714)+E(f42(f34(x6711,x6712),f43(x6711,x6713,x6714,x6715),x6715),f43(x6711,x6713,x6714,x6715)) % 0.76/0.85 [633]E(x6331,x6332)+~E(f5(x6333,f16(x6331,f3(x6334),x6334),x6334),f5(x6335,f16(x6332,f3(x6334),x6334),x6334)) % 0.76/0.85 [634]E(x6341,x6342)+~E(f5(x6341,f16(x6343,f3(x6344),x6344),x6344),f5(x6342,f16(x6345,f3(x6344),x6344),x6344)) % 0.76/0.85 [691]~P6(x6911,f18(f8(a20,x6915)),a46)+P6(x6911,f18(f8(a20,f16(f11(x6912,x6913,x6914),x6915,a2))),a46) % 0.76/0.85 [468]E(x4681,x4682)+~E(f11(x4683,x4684,x4681),f11(x4685,x4686,x4682)) % 0.76/0.85 [470]E(x4701,x4702)+~E(f11(x4703,x4701,x4704),f11(x4705,x4702,x4706)) % 0.76/0.85 [473]E(x4731,x4732)+~E(f11(x4731,x4733,x4734),f11(x4732,x4735,x4736)) % 0.76/0.85 [700]P6(x7001,f17(f8(a20,x7002)),a46)+~P6(f11(a21,x7003,f28(f34(a37,x7003),f31(x7004,f31(x7005,f31(x7001,x7006))))),f19(x7002,a2),a2) % 0.76/0.85 [694]P6(x6941,f17(f8(a20,x6942)),a46)+~P6(f11(x6943,x6944,f28(x6945,f31(x6946,f31(x6947,f31(x6948,x6941))))),f19(x6942,a2),a2) % 0.76/0.85 [442]P18(f34(x4421,x4422))+~P18(f34(x4421,a40))+~P18(f34(x4421,a41)) % 0.76/0.85 [517]P6(f27(x5171),x5172,a46)+P6(x5171,f32(x5172),a46)+~P6(f27(x5171),f32(x5172),a46) % 0.76/0.85 [588]~P6(x5881,a4,a44)+~P6(x5882,a36,f45(a2))+P6(f34(a30,f34(a37,x5881)),f17(f8(a20,x5882)),a46) % 0.76/0.85 [589]~P6(x5891,a4,a44)+~P6(x5892,a36,f45(a2))+P6(f34(a30,f34(a37,x5891)),f18(f8(a20,x5892)),a46) % 0.76/0.85 [611]P6(x6111,a4,a44)+~P6(x6112,a36,f45(a2))+~P6(f34(a30,f34(a37,x6111)),f17(f8(a20,x6112)),a46) % 0.76/0.85 [612]P6(x6121,a4,a44)+~P6(x6122,a36,f45(a2))+~P6(f34(a30,f34(a37,x6121)),f18(f8(a20,x6122)),a46) % 0.76/0.85 [689]~P6(x6892,a36,f45(a2))+P6(x6891,f43(a37,f38(f48(a44,a1)),a44,a47),a47)+P6(f34(a30,x6891),f18(f42(f34(a30,x6891),f8(a20,x6892),a46)),a46) % 0.76/0.85 [443]P8(x4432,x4431,x4433)+~P15(x4433)+P8(x4431,x4432,x4433) % 0.76/0.85 [409]~P2(x4093)+E(x4091,x4092)+~E(f15(x4091,x4093),f15(x4092,x4093)) % 0.76/0.85 [410]~P12(x4103)+E(x4101,x4102)+~E(f15(x4101,x4103),f15(x4102,x4103)) % 0.76/0.85 [437]~P1(x4372)+~E(f6(x4373,x4371,x4372),f35(x4372))+E(x4371,f35(x4372)) % 0.76/0.85 [438]~P1(x4382)+~E(f6(x4381,x4383,x4382),f35(x4382))+E(x4381,f35(x4382)) % 0.76/0.85 [449]~P10(x4493)+~P8(x4491,x4492,x4493)+E(f6(x4491,x4492,x4493),x4492) % 0.76/0.85 [450]~P10(x4503)+~P8(x4502,x4501,x4503)+E(f6(x4501,x4502,x4503),x4501) % 0.76/0.85 [451]~P10(x4513)+P8(x4511,x4512,x4513)+~E(f6(x4511,x4512,x4513),x4512) % 0.76/0.85 [490]~P13(x4902)+~P8(x4903,x4901,x4902)+P8(f15(x4901,x4902),f15(x4903,x4902),x4902) % 0.76/0.85 [509]~P13(x5093)+~P8(x5092,f15(x5091,x5093),x5093)+P8(x5091,f15(x5092,x5093),x5093) % 0.76/0.85 [511]~P13(x5112)+~P8(f15(x5113,x5112),x5111,x5112)+P8(f15(x5111,x5112),x5113,x5112) % 0.76/0.85 [526]~P13(x5263)+P8(x5261,x5262,x5263)+~P8(f15(x5262,x5263),f15(x5261,x5263),x5263) % 0.76/0.85 [533]E(x5331,a20)+P6(x5332,f8(x5331,x5333),a46)+~P6(f9(x5331,x5332),f19(x5333,a2),a2) % 0.76/0.85 [535]E(x5351,x5352)+~P8(x5351,x5352,f48(x5353,a1))+~P8(x5352,x5351,f48(x5353,a1)) % 0.76/0.85 [547]~P6(x5471,a33,a47)+P6(x5471,f26(x5472),a47)+~P6(f28(x5471,x5473),x5472,a46) % 0.76/0.85 [548]P6(f31(x5481,x5482),f32(x5483),a46)+~P6(x5482,f32(x5483),a46)+~P6(x5481,f32(x5483),a46) % 0.76/0.85 [549]P6(x5491,f32(x5492),a46)+P6(f28(x5493,x5491),x5492,a46)+~P6(f28(x5493,x5491),f32(x5492),a46) % 0.76/0.85 [550]P6(x5501,f32(x5502),a46)+P6(f31(x5503,x5501),x5502,a46)+~P6(f31(x5503,x5501),f32(x5502),a46) % 0.76/0.85 [551]P6(x5511,f32(x5512),a46)+P6(f31(x5511,x5513),x5512,a46)+~P6(f31(x5511,x5513),f32(x5512),a46) % 0.76/0.85 [552]~P8(x5523,f17(x5522),f48(a46,a1))+P6(x5521,f17(x5522),a46)+~P6(x5521,f17(x5523),a46) % 0.76/0.85 [553]~P8(x5533,f18(x5532),f48(a46,a1))+P6(x5531,f18(x5532),a46)+~P6(x5531,f18(x5533),a46) % 0.76/0.85 [554]~P8(x5543,f32(x5542),f48(a46,a1))+P6(x5541,f32(x5542),a46)+~P6(x5541,f32(x5543),a46) % 0.76/0.85 [559]~P6(f28(x5591,x5592),f32(x5593),a46)+P6(f28(x5591,x5592),x5593,a46)+P6(f34(a30,x5591),x5593,a46) % 0.76/0.85 [563]P6(f28(x5631,x5632),f32(x5633),a46)+~P6(x5632,f32(x5633),a46)+~P6(f34(a30,x5631),x5633,a46) % 0.76/0.85 [571]~P6(x5713,a4,a44)+~P6(f10(x5713,x5711),f19(x5712,a2),a2)+P6(x5711,f8(a20,x5712),a46) % 0.76/0.85 [574]~P8(x5743,x5742,f48(a46,a1))+~P6(x5741,f18(x5743),a46)+E(f18(f42(x5741,x5742,a46)),f18(x5742)) % 0.76/0.85 [606]P6(x6061,f32(f18(x6062)),a46)+P6(f27(f31(x6061,x6063)),f18(x6062),a46)+~P6(f27(f31(x6061,x6063)),f32(f18(x6062)),a46) % 0.76/0.85 [608]P6(x6081,f18(x6082),a46)+~P6(f28(x6083,x6081),f18(x6082),a46)+~P6(f34(a30,f34(a24,x6083)),f18(x6082),a46) % 0.76/0.85 [624]~P6(x6243,a4,a44)+P6(x6241,f18(f8(a20,x6242)),a46)+~P6(f28(f34(a37,x6243),x6241),f18(f8(a20,x6242)),a46) % 0.76/0.85 [625]P6(x6251,f18(x6252),a46)+~P6(f28(f34(a37,x6253),x6251),f18(x6252),a46)+~P6(f34(a30,f34(a37,x6253)),f18(x6252),a46) % 0.76/0.85 [637]P6(x6371,f18(x6372),a46)+~P6(x6373,f18(x6372),a46)+~P6(x6371,f18(f42(x6373,x6372,a46)),a46) % 0.76/0.85 [638]P6(x6381,f32(x6382),a46)+~P6(x6383,f32(x6382),a46)+~P6(x6381,f32(f42(x6383,x6382,a46)),a46) % 0.76/0.85 [660]P6(x6601,f6(f32(f18(x6602)),f17(x6602),f48(a46,a1)),a46)+~P6(x6603,f32(f18(x6602)),a46)+~P6(x6601,f17(f42(x6603,x6602,a46)),a46) % 0.76/0.85 [639]~P4(x6393)+~P6(x6392,f32(f18(f8(a20,x6393))),a46)+P4(f16(f11(a20,x6391,x6392),x6393,a2)) % 0.76/0.85 [641]~P8(x6411,f42(x6413,f35(f48(x6412,a1)),x6412),f48(x6412,a1))+E(x6411,f35(f48(x6412,a1)))+E(x6411,f42(x6413,f35(f48(x6412,a1)),x6412)) % 0.76/0.85 [655]P6(x6551,f17(x6552),a46)+P6(x6551,f17(x6553),a46)+~P6(x6551,f17(f6(x6552,x6553,f48(a46,a1))),a46) % 0.76/0.85 [657]~P6(x6573,a36,f45(a2))+P6(f16(f11(a20,x6571,x6572),x6573,a2),a36,f45(a2))+~P6(x6572,f32(f18(f8(a20,x6573))),a46) % 0.76/0.85 [681]P6(x6811,f6(f32(f18(x6812)),f17(x6812),f48(a46,a1)),a46)+~P6(x6813,f32(f18(x6812)),a46)+~P6(x6811,f17(f42(x6813,f35(f48(a46,a1)),a46)),a46) % 0.76/0.85 [492]~P8(x4923,x4921,f48(x4924,a1))+P18(f34(x4921,x4922))+~P18(f34(x4923,x4922)) % 0.76/0.85 [540]~P10(x5404)+~P8(x5401,x5403,x5404)+P8(x5401,f6(x5402,x5403,x5404),x5404) % 0.76/0.85 [541]~P10(x5414)+~P8(x5411,x5412,x5414)+P8(x5411,f6(x5412,x5413,x5414),x5414) % 0.76/0.85 [546]P6(x5461,x5462,x5463)+~P6(x5461,x5464,x5463)+~P8(x5464,x5462,f48(x5463,a1)) % 0.76/0.85 [566]E(x5661,x5662)+P6(x5661,x5663,x5664)+~P6(x5661,f42(x5662,x5663,x5664),x5664) % 0.76/0.85 [568]~P10(x5683)+P8(x5681,x5682,x5683)+~P8(f6(x5684,x5681,x5683),x5682,x5683) % 0.76/0.85 [570]~P10(x5703)+P8(x5701,x5702,x5703)+~P8(f6(x5701,x5704,x5703),x5702,x5703) % 0.76/0.85 [572]~P8(x5721,x5724,f48(x5723,a1))+~P8(x5724,x5722,f48(x5723,a1))+P8(x5721,x5722,f48(x5723,a1)) % 0.76/0.85 [607]~P6(x6071,x6074,x6073)+~P8(x6072,x6074,f48(x6073,a1))+P8(f42(x6071,x6072,x6073),x6074,f48(x6073,a1)) % 0.76/0.85 [616]P6(x6161,x6162,x6163)+~P8(x6162,f42(x6161,x6164,x6163),f48(x6163,a1))+P8(x6162,x6164,f48(x6163,a1)) % 0.76/0.85 [613]E(x6131,x6132)+P18(f34(x6133,x6131))+~P18(f34(f42(x6132,x6133,x6134),x6131)) % 0.76/0.85 [618]P6(x6181,x6182,x6183)+P6(x6181,x6184,x6183)+~P6(x6181,f6(x6182,x6184,f48(x6183,a1)),x6183) % 0.76/0.85 [627]~P8(x6271,x6274,f48(x6273,a1))+~P8(x6272,x6274,f48(x6273,a1))+P8(f6(x6271,x6272,f48(x6273,a1)),x6274,f48(x6273,a1)) % 0.76/0.85 [632]E(x6321,x6322)+P6(x6321,f19(x6323,x6324),x6324)+~P6(x6321,f19(f16(x6322,x6323,x6324),x6324),x6324) % 0.76/0.85 [576]~E(f18(x5761),f18(x5763))+~E(f18(x5762),f18(x5764))+E(f18(f6(x5761,x5762,f48(a46,a1))),f18(f6(x5763,x5764,f48(a46,a1)))) % 0.76/0.85 [640]P18(f34(x6401,x6402))+P18(f34(x6403,x6402))+~P18(f34(f6(x6401,x6403,f48(x6404,a1)),x6402)) % 0.76/0.85 [668]~P6(x6684,f17(x6683),a46)+~P6(x6681,f17(f42(x6684,x6682,a46)),a46)+P6(x6681,f17(f6(x6682,x6683,f48(a46,a1))),a46) % 0.76/0.85 [677]~P8(f18(x6772),f18(x6774),f48(a46,a1))+~P8(f18(x6771),f18(x6773),f48(a46,a1))+P8(f18(f6(x6771,x6772,f48(a46,a1))),f18(f6(x6773,x6774,f48(a46,a1))),f48(a46,a1)) % 0.76/0.85 [676]~P4(x6762)+P6(f29(x6761),f7(x6762),a46)+P4(f16(f11(x6763,a21,f31(f25(x6763),f31(f25(x6764),f29(x6761)))),x6762,a2)) % 0.76/0.85 [683]P6(f29(x6831),f7(x6832),a46)+~P6(x6832,a36,f45(a2))+P6(f16(f11(x6833,a21,f31(f25(x6833),f31(f25(x6834),f29(x6831)))),x6832,a2),a36,f45(a2)) % 0.76/0.85 [532]~P3(x5324)+P8(f34(x5321,x5322),f34(x5323,x5322),x5324)+~P8(x5321,x5323,f48(x5325,x5324)) % 0.76/0.85 [644]~P8(x6441,x6444,f48(x6443,a1))+~P8(x6442,x6445,f48(x6443,a1))+P8(f6(x6441,x6442,f48(x6443,a1)),f6(x6444,x6445,f48(x6443,a1)),f48(x6443,a1)) % 0.76/0.85 [697]P6(f22(x6971,x6972,x6973),f19(x6972,x6973),x6973)+~P18(f34(x6971,x6975))+P6(f22(x6971,f5(x6974,f16(x6975,x6972,x6973),x6973),x6973),f19(f5(x6974,f16(x6975,x6972,x6973),x6973),x6973),x6973) % 0.76/0.85 [698]P6(f23(x6981,x6982,x6983),f19(x6982,x6983),x6983)+~P18(f34(x6981,x6984))+P6(f23(x6981,f5(x6982,f16(x6984,x6985,x6983),x6983),x6983),f19(f5(x6982,f16(x6984,x6985,x6983),x6983),x6983),x6983) % 0.76/0.85 [703]~P18(f34(x7031,x7035))+P6(f22(x7031,f5(x7034,f16(x7035,x7032,x7033),x7033),x7033),f19(f5(x7034,f16(x7035,x7032,x7033),x7033),x7033),x7033)+P18(f34(x7031,f22(x7031,x7032,x7033))) % 0.76/0.85 [704]~P18(f34(x7041,x7044))+P6(f23(x7041,f5(x7042,f16(x7044,x7045,x7043),x7043),x7043),f19(f5(x7042,f16(x7044,x7045,x7043),x7043),x7043),x7043)+P18(f34(x7041,f23(x7041,x7042,x7043))) % 0.76/0.85 [664]E(x6641,x6642)+E(x6641,x6643)+~E(f42(x6644,f42(x6641,f35(f48(x6645,a1)),x6645),x6645),f42(x6643,f42(x6642,f35(f48(x6645,a1)),x6645),x6645)) % 0.76/0.85 [665]E(x6651,x6652)+E(x6653,x6652)+~E(f42(x6653,f42(x6651,f35(f48(x6654,a1)),x6654),x6654),f42(x6655,f42(x6652,f35(f48(x6654,a1)),x6654),x6654)) % 0.76/0.85 [666]E(x6661,x6662)+E(x6663,x6662)+~E(f42(x6663,f42(x6661,f35(f48(x6664,a1)),x6664),x6664),f42(x6662,f42(x6665,f35(f48(x6664,a1)),x6664),x6664)) % 0.76/0.85 [667]E(x6671,x6672)+E(x6671,x6673)+~E(f42(x6671,f42(x6674,f35(f48(x6675,a1)),x6675),x6675),f42(x6673,f42(x6672,f35(f48(x6675,a1)),x6675),x6675)) % 0.76/0.85 [701]P6(f22(x7011,x7012,x7013),f19(x7012,x7013),x7013)+~P18(f34(x7011,x7015))+P18(f34(x7011,f22(x7011,f5(x7014,f16(x7015,x7012,x7013),x7013),x7013))) % 0.76/0.85 [702]P6(f23(x7021,x7022,x7023),f19(x7022,x7023),x7023)+~P18(f34(x7021,x7024))+P18(f34(x7021,f23(x7021,f5(x7022,f16(x7024,x7025,x7023),x7023),x7023))) % 0.76/0.85 [707]~P18(f34(x7071,x7075))+P18(f34(x7071,f22(x7071,x7072,x7073)))+P18(f34(x7071,f22(x7071,f5(x7074,f16(x7075,x7072,x7073),x7073),x7073))) % 0.76/0.85 [708]~P18(f34(x7081,x7084))+P18(f34(x7081,f23(x7081,x7082,x7083)))+P18(f34(x7081,f23(x7081,f5(x7082,f16(x7084,x7085,x7083),x7083),x7083))) % 0.76/0.85 [680]~P6(x6802,x6805,x6806)+P6(f34(x6801,x6802),x6803,x6804)+~P8(f43(x6801,x6805,x6806,x6804),x6803,f48(x6804,a1)) % 0.76/0.85 [721]E(x7211,f34(a37,x7212))+~P6(x7213,a36,f45(a2))+~P6(f11(a21,x7212,f28(x7211,f31(x7214,f31(f25(x7215),f31(f34(a30,x7216),x7217))))),f19(x7213,a2),a2) % 0.76/0.85 [722]~P6(x7225,a36,f45(a2))+E(x7221,f28(f34(a37,x7222),f31(f34(a30,x7223),f25(x7224))))+~P6(f11(a21,x7224,f28(x7226,f31(x7227,f31(f25(x7222),f31(f34(a30,x7223),x7221))))),f19(x7225,a2),a2) % 0.76/0.85 [728]~P6(x7281,a36,f45(a2))+~P6(x7282,f43(a37,f38(f48(a44,a1)),a44,a47),a47)+~P6(f11(a21,x7283,f28(x7284,f31(x7285,f31(f25(x7286),f31(f34(a30,x7282),x7287))))),f19(x7281,a2),a2) % 0.76/0.85 [645]~P6(x6451,f8(a20,x6452),a46)+P6(x6451,f8(a20,f3(a2)),a46)+P6(f11(f12(x6451,x6452),f13(x6451,x6452),x6451),f19(x6452,a2),a2)+P6(f10(f12(x6451,x6452),x6451),f19(x6452,a2),a2) % 0.76/0.85 [629]~P6(x6291,a33,a47)+P6(f34(a30,x6291),f7(x6292),a46)+~P6(x6292,a36,f45(a2))+~P6(x6291,f26(f17(f8(a20,x6292))),a47) % 0.76/0.85 [478]~P8(x4782,x4781,x4783)+~P8(x4781,x4782,x4783)+E(x4781,x4782)+~P14(x4783) % 0.76/0.85 [609]~P6(f28(x6093,x6091),f18(x6092),a46)+P6(x6091,f18(x6092),a46)+~P6(x6093,a33,a47)+~P6(f34(a30,x6093),f18(x6092),a46) % 0.76/0.85 [635]~P6(f34(a30,x6353),f18(x6352),a46)+~P6(f28(x6353,x6351),f32(f18(x6352)),a46)+P6(x6351,f32(f18(x6352)),a46)+~P6(f34(a30,f34(a24,x6353)),f18(x6352),a46) % 0.76/0.85 [529]~P14(x5293)+~P8(x5291,x5294,x5293)+P8(x5291,x5292,x5293)+~P8(x5294,x5292,x5293) % 0.76/0.85 [530]~P17(x5303)+~P8(x5301,x5304,x5303)+P8(x5301,x5302,x5303)+~P8(x5304,x5302,x5303) % 0.76/0.85 [555]P6(x5553,x5551,x5554)+E(x5551,x5552)+P6(x5553,x5552,x5554)+~E(f42(x5553,x5551,x5554),f42(x5553,x5552,x5554)) % 0.76/0.85 [585]~P10(x5853)+~P8(x5852,x5854,x5853)+~P8(x5851,x5854,x5853)+P8(f6(x5851,x5852,x5853),x5854,x5853) % 0.76/0.85 [658]~P8(x6583,x6582,f48(a46,a1))+P6(f34(a30,x6581),f18(x6582),a46)+~P6(x6584,f32(f18(x6583)),a46)+~P6(f34(a30,x6581),f18(f42(x6584,x6582,a46)),a46) % 0.76/0.85 [695]~P6(x6954,f32(f18(x6952)),a46)+P6(f34(a30,f34(a24,x6951)),f17(x6952),a46)+~P6(x6951,f26(f17(f42(x6954,x6953,a46))),a47)+P6(x6951,f26(f17(f6(x6953,x6952,f48(a46,a1)))),a47) % 0.76/0.85 [744]P6(x7441,a4,a44)+~P6(x7444,a36,f45(a2))+~P6(f28(f34(a37,x7441),f31(f34(a30,x7443),f25(x7442))),f17(f8(a20,x7444)),a46)+P6(f11(a21,x7442,f28(f34(a37,x7442),f31(f58(x7442,x7441,x7443,x7444),f31(f25(x7441),f31(f34(a30,x7443),f28(f34(a37,x7441),f31(f34(a30,x7443),f25(x7442)))))))),f19(x7444,a2),a2) % 0.76/0.85 [705]P6(x7054,a4,a44)+~P6(x7055,a36,f45(a2))+E(x7051,f28(f34(a37,x7052),f31(f34(a30,x7053),f25(x7054))))+~P6(f28(f34(a37,x7054),f31(x7056,f31(f25(x7052),f31(f34(a30,x7053),x7051)))),f17(f8(a20,x7055)),a46) % 0.76/0.85 [719]P6(x7191,a4,a44)+~P6(x7192,a36,f45(a2))+~P6(x7193,f43(a37,f38(f48(a44,a1)),a44,a47),a47)+~P6(f28(f34(a37,x7191),f31(x7194,f31(f25(x7195),f31(f34(a30,x7193),x7196)))),f17(f8(a20,x7192)),a46) % 0.76/0.85 [725]P6(x7251,a4,a44)+~P6(x7256,a36,f45(a2))+~P6(f28(f34(a37,x7251),f31(x7252,f31(f25(x7253),f31(f34(a30,x7254),x7255)))),f17(f8(a20,x7256)),a46)+P6(f11(a21,x7251,f28(f34(a37,x7251),f31(x7252,f31(f25(x7253),f31(f34(a30,x7254),x7255))))),f19(x7256,a2),a2) % 0.76/0.85 [723]~P6(x7235,a36,f45(a2))+P6(x7231,f18(f8(a20,x7235)),a46)+E(x7231,f28(f34(a37,x7232),f31(f34(a30,x7233),f25(x7234))))+~P6(f11(x7236,x7234,f28(f34(a37,x7234),f31(f29(x7237),f31(f25(x7232),f31(f34(a30,x7233),x7231))))),f19(x7235,a2),a2) % 0.76/0.85 [730]~P6(x7302,a36,f45(a2))+P6(x7301,f18(f8(a20,x7302)),a46)+~P6(x7303,f43(a37,f38(f48(a44,a1)),a44,a47),a47)+~P6(f11(x7304,x7305,f28(f34(a37,x7305),f31(f29(x7306),f31(f25(x7307),f31(f34(a30,x7303),x7301))))),f19(x7302,a2),a2) % 0.76/0.85 [733]~P4(x7334)+~P6(f11(x7335,x7336,f28(x7333,f29(x7332))),f19(x7334,a2),a2)+~P6(f11(a21,x7336,f28(f34(a37,x7336),f31(f29(x7331),f31(f25(x7335),f31(f34(a30,x7333),x7337))))),f19(x7334,a2),a2)+P4(f16(f10(a20,f31(f29(x7331),f31(f29(x7332),f34(a30,x7333)))),x7334,a2)) % 0.76/0.85 [736]~P6(x7364,a36,f45(a2))+~P6(f11(x7365,x7366,f28(x7363,f29(x7362))),f19(x7364,a2),a2)+P6(f16(f10(a20,f31(f29(x7361),f31(f29(x7362),f34(a30,x7363)))),x7364,a2),a36,f45(a2))+~P6(f11(a21,x7366,f28(f34(a37,x7366),f31(f29(x7361),f31(f25(x7365),f31(f34(a30,x7363),x7367))))),f19(x7364,a2),a2) % 0.76/0.85 [739]E(x7391,x7392)+~P6(x7393,a36,f45(a2))+~P6(f11(a21,x7398,f28(f34(a37,x7398),f31(x7399,f31(f25(x73910),f31(f34(a30,x7397),x7392))))),f19(x7393,a2),a2)+~P6(f11(a21,x7394,f28(f34(a37,x7394),f31(x7395,f31(f25(x7396),f31(f34(a30,x7397),x7391))))),f19(x7393,a2),a2) % 0.76/0.85 [740]E(x7401,x7402)+~P6(x7403,a36,f45(a2))+~P6(f11(a21,x7408,f28(f34(a37,x7408),f31(x7409,f31(f25(x7402),f31(f34(a30,x7406),x74010))))),f19(x7403,a2),a2)+~P6(f11(a21,x7404,f28(f34(a37,x7404),f31(x7405,f31(f25(x7401),f31(f34(a30,x7406),x7407))))),f19(x7403,a2),a2) % 0.76/0.85 [741]E(x7411,x7412)+~P6(x7413,a36,f45(a2))+~P6(f11(a21,x7418,f28(f34(a37,x7418),f31(x7412,f31(f25(x7419),f31(f34(a30,x7416),x74110))))),f19(x7413,a2),a2)+~P6(f11(a21,x7414,f28(f34(a37,x7414),f31(x7411,f31(f25(x7415),f31(f34(a30,x7416),x7417))))),f19(x7413,a2),a2) % 0.76/0.85 [742]E(x7421,x7422)+~P6(x7423,a36,f45(a2))+~P6(f11(a21,x7421,f28(f34(a37,x7421),f31(x7428,f31(f25(x7429),f31(f34(a30,x7426),x74210))))),f19(x7423,a2),a2)+~P6(f11(a21,x7422,f28(f34(a37,x7422),f31(x7424,f31(f25(x7425),f31(f34(a30,x7426),x7427))))),f19(x7423,a2),a2) % 0.76/0.85 [693]E(x6931,x6932)+~P6(x6933,a36,f45(a2))+P6(f34(a30,x6931),f18(f8(a20,x6933)),a46)+P6(x6932,f43(a37,f38(f48(a44,a1)),a44,a47),a47)+~P6(f34(a30,x6931),f18(f42(f34(a30,x6932),f8(a20,x6933),a46)),a46) % 0.76/0.85 [743]P6(x7431,x7432,a47)+~P8(x7432,f15(f43(a37,f38(f48(a44,a1)),a44,a47),f48(a47,a1)),f48(a47,a1))+~P6(x7433,a36,f45(a2))+P6(f34(a30,x7431),f18(f8(a20,x7433)),a46)+~P6(f34(a30,x7431),f18(f6(f43(a30,x7432,a47,a46),f8(a20,x7433),f48(a46,a1))),a46) % 0.76/0.85 [696]~P4(x6962)+~P6(x6965,a33,a47)+P6(f29(x6961),f7(x6962),a46)+~P6(f11(x6966,x6963,f28(f34(a37,x6963),f31(f34(a30,x6965),f25(x6964)))),f19(x6962,a2),a2)+P4(f16(f11(x6963,x6964,f28(x6965,f29(x6961))),x6962,a2)) % 0.76/0.85 [706]~P6(x7065,a33,a47)+P6(f29(x7061),f7(x7062),a46)+~P6(x7062,a36,f45(a2))+~P6(f11(x7066,x7063,f28(f34(a37,x7063),f31(f34(a30,x7065),f25(x7064)))),f19(x7062,a2),a2)+P6(f16(f11(x7063,x7064,f28(x7065,f29(x7061))),x7062,a2),a36,f45(a2)) % 0.76/0.85 [747]~P4(x7472)+~P6(x7471,a33,a47)+P6(f34(a30,x7471),f7(x7472),a46)+~P6(f11(x7476,a21,f31(f25(x7473),f31(f25(x7475),f29(x7474)))),f19(x7472,a2),a2)+P4(f16(f11(a21,x7473,f28(f34(a37,x7473),f31(f29(x7474),f31(f25(x7475),f31(f34(a30,x7471),f28(f34(a37,x7475),f31(f34(a30,x7471),f25(x7473)))))))),x7472,a2)) % 0.76/0.85 [748]~P6(x7481,a33,a47)+P6(f34(a30,x7481),f7(x7482),a46)+~P6(x7482,a36,f45(a2))+~P6(f11(x7486,a21,f31(f25(x7483),f31(f25(x7485),f29(x7484)))),f19(x7482,a2),a2)+P6(f16(f11(a21,x7483,f28(f34(a37,x7483),f31(f29(x7484),f31(f25(x7485),f31(f34(a30,x7481),f28(f34(a37,x7485),f31(f34(a30,x7481),f25(x7483)))))))),x7482,a2),a36,f45(a2)) % 0.76/0.85 [726]~P6(x7262,a36,f45(a2))+~P6(f28(x7261,f29(x7265)),f17(f8(a20,x7262)),a46)+P6(f34(a30,x7261),f18(f8(a20,x7262)),a46)+P6(f11(x7263,x7264,f28(x7261,f29(x7265))),f19(x7262,a2),a2)+~P6(f11(a21,x7264,f28(f34(a37,x7264),f31(x7266,f31(f25(x7263),f31(f34(a30,x7261),x7267))))),f19(x7262,a2),a2) % 0.76/0.85 [727]~P6(x7272,a36,f45(a2))+~P6(f28(x7271,f29(x7275)),f17(f8(a20,x7272)),a46)+P6(f11(f60(x7273,x7274,x7272),x7273,x7274),f19(x7272,a2),a2)+P6(f34(a30,x7271),f18(f8(a20,x7272)),a46)+~P6(f11(a21,x7276,f28(f34(a37,x7276),f31(x7277,f31(f25(x7273),f31(f34(a30,x7271),x7274))))),f19(x7272,a2),a2) % 0.76/0.85 [729]~P4(x7294)+E(x7291,a21)+~P6(f11(x7291,a21,f31(f25(x7291),f31(f25(x7292),f29(x7295)))),f19(x7294,a2),a2)+P4(f16(f11(x7291,x7292,x7293),x7294,a2))+~P6(f11(x7296,x7291,f28(f34(a37,x7291),f31(f29(x7295),f31(f25(x7292),f31(f34(a30,x7297),x7293))))),f19(x7294,a2),a2) % 0.76/0.85 [731]E(x7311,a21)+~P6(x7314,a36,f45(a2))+P6(f16(f11(x7311,x7312,x7313),x7314,a2),a36,f45(a2))+~P6(f11(x7311,a21,f31(f25(x7311),f31(f25(x7312),f29(x7315)))),f19(x7314,a2),a2)+~P6(f11(x7316,x7311,f28(f34(a37,x7311),f31(f29(x7315),f31(f25(x7312),f31(f34(a30,x7317),x7313))))),f19(x7314,a2),a2) % 0.76/0.85 [732]~P4(x7325)+~P6(x7323,a33,a47)+~P6(f11(x7326,x7321,f28(x7323,f29(x7324))),f19(x7325,a2),a2)+~P6(f11(x7327,x7321,f28(f34(a37,x7321),f31(f29(x7328),f31(f25(x7322),f31(f34(a30,x7323),x7329))))),f19(x7325,a2),a2)+P4(f16(f11(x7321,x7322,f28(x7323,f31(f29(x7324),f29(x7324)))),x7325,a2)) % 0.76/0.85 [734]~P6(x7343,a33,a47)+~P6(x7345,a36,f45(a2))+~P6(f11(x7346,x7341,f28(x7343,f29(x7344))),f19(x7345,a2),a2)+P6(f16(f11(x7341,x7342,f28(x7343,f31(f29(x7344),f29(x7344)))),x7345,a2),a36,f45(a2))+~P6(f11(x7347,x7341,f28(f34(a37,x7341),f31(f29(x7348),f31(f25(x7342),f31(f34(a30,x7343),x7349))))),f19(x7345,a2),a2) % 0.76/0.85 [663]E(x6631,a20)+~P6(x6632,f8(x6631,x6633),a46)+P6(f9(x6631,x6632),f19(x6633,a2),a2)+P6(f10(x6631,x6632),f19(x6633,a2),a2)+P6(f11(x6631,f14(x6631,x6632,x6633),x6632),f19(x6633,a2),a2)+P6(x6632,f8(x6631,f3(a2)),a46) % 0.76/0.85 [679]P5(x6792,x6791,f28(x6793,f29(x6794)),x6795)+P6(x6791,a4,a44)+P6(x6792,a4,a44)+~P6(x6795,a36,f45(a2))+P6(f34(a30,x6793),f18(f8(a20,x6795)),a46)+~P6(f11(x6792,x6791,f28(x6793,f29(x6794))),f19(x6795,a2),a2) % 0.76/0.85 [746]P6(x7461,a4,a44)+P6(x7462,a4,a44)+~P6(x7465,a36,f45(a2))+~P6(f34(a30,x7464),f18(f8(a20,x7465)),a46)+P6(f10(a20,f31(x7463,f31(f62(x7464,x7463,x7465),f34(a30,x7464)))),f19(x7465,a2),a2)+~P6(f11(a21,x7461,f28(f34(a37,x7461),f31(x7463,f31(f25(x7462),f31(f34(a30,x7464),f28(f34(a37,x7462),f31(f34(a30,x7464),f25(x7461)))))))),f19(x7465,a2),a2) % 0.76/0.85 [745]P6(x7451,a4,a44)+~P6(x7453,a36,f45(a2))+P6(f34(a30,x7452),f18(f8(a20,x7453)),a46)+~P6(f28(x7452,f31(f29(x7455),f29(x7455))),f17(f8(a20,x7453)),a46)+P6(f11(x7454,x7451,f28(x7452,f31(f29(x7455),f29(x7455)))),f19(x7453,a2),a2)+~P6(f11(a21,x7454,f28(f34(a37,x7454),f31(x7456,f31(f25(x7451),f31(f34(a30,x7452),f28(f34(a37,x7451),f31(f34(a30,x7452),f25(x7454)))))))),f19(x7453,a2),a2) % 0.76/0.85 [735]P6(x7351,a4,a44)+P6(x7352,a4,a44)+~P6(x7355,a36,f45(a2))+~P6(f34(a30,x7354),f18(f8(a20,x7355)),a46)+P6(f10(a20,f31(x7353,f31(f61(x7354,x7353,x7355),f34(a30,x7354)))),f19(x7355,a2),a2)+~P6(f11(a21,x7351,f28(x7356,f31(x7353,f31(f25(x7352),f31(f34(a30,x7354),x7357))))),f19(x7355,a2),a2) % 0.76/0.85 [709]P6(x7091,a4,a44)+P6(x7092,a4,a44)+~P6(x7095,a36,f45(a2))+~P6(f28(x7093,f31(f29(x7094),f29(x7094))),f17(f8(a20,x7095)),a46)+~P6(f28(f34(a37,x7091),f31(f34(a30,x7093),f25(x7092))),f17(f8(a20,x7095)),a46)+P6(f11(x7092,x7091,f28(x7093,f31(f29(x7094),f29(x7094)))),f19(x7095,a2),a2)+P6(f10(a20,f31(f56(x7093,x7095),f31(f59(x7093,x7095),f34(a30,x7093)))),f19(x7095,a2),a2) % 0.76/0.85 [710]P5(x7102,x7101,f28(x7103,f29(x7104)),x7105)+P6(x7101,a4,a44)+P6(x7102,a4,a44)+~P6(x7105,a36,f45(a2))+~P6(f28(x7103,f29(x7104)),f17(f8(a20,x7105)),a46)+P6(f34(a30,x7103),f18(f8(a20,x7105)),a46)+~P6(f28(f34(a37,x7101),f31(x7106,f31(f25(x7102),f31(f34(a30,x7103),x7107)))),f17(f8(a20,x7105)),a46) % 0.76/0.85 [724]P6(x7241,a4,a44)+P6(x7242,a4,a44)+~P6(x7245,a36,f45(a2))+~P6(f28(x7243,f29(x7244)),f17(f8(a20,x7245)),a46)+P6(f11(x7242,x7241,f28(x7243,f29(x7244))),f19(x7245,a2),a2)+P6(f10(a20,f31(x7246,f31(f57(x7243,x7246,x7245),f34(a30,x7243)))),f19(x7245,a2),a2)+~P6(f28(f34(a37,x7241),f31(x7246,f31(f25(x7242),f31(f34(a30,x7243),x7247)))),f17(f8(a20,x7245)),a46) % 0.76/0.85 %EqnAxiom % 0.76/0.85 [1]E(x11,x11) % 0.76/0.85 [2]E(x22,x21)+~E(x21,x22) % 0.76/0.85 [3]E(x31,x33)+~E(x31,x32)+~E(x32,x33) % 0.76/0.85 [4]~E(x41,x42)+E(f3(x41),f3(x42)) % 0.76/0.85 [5]~E(x51,x52)+E(f17(x51),f17(x52)) % 0.76/0.85 [6]~E(x61,x62)+E(f34(x61,x63),f34(x62,x63)) % 0.76/0.85 [7]~E(x71,x72)+E(f34(x73,x71),f34(x73,x72)) % 0.76/0.85 [8]~E(x81,x82)+E(f25(x81),f25(x82)) % 0.76/0.85 [9]~E(x91,x92)+E(f18(x91),f18(x92)) % 0.76/0.85 [10]~E(x101,x102)+E(f19(x101,x103),f19(x102,x103)) % 0.76/0.85 [11]~E(x111,x112)+E(f19(x113,x111),f19(x113,x112)) % 0.76/0.85 [12]~E(x121,x122)+E(f11(x121,x123,x124),f11(x122,x123,x124)) % 0.76/0.85 [13]~E(x131,x132)+E(f11(x133,x131,x134),f11(x133,x132,x134)) % 0.76/0.85 [14]~E(x141,x142)+E(f11(x143,x144,x141),f11(x143,x144,x142)) % 0.76/0.85 [15]~E(x151,x152)+E(f7(x151),f7(x152)) % 0.76/0.85 [16]~E(x161,x162)+E(f31(x161,x163),f31(x162,x163)) % 0.76/0.85 [17]~E(x171,x172)+E(f31(x173,x171),f31(x173,x172)) % 0.76/0.85 [18]~E(x181,x182)+E(f42(x181,x183,x184),f42(x182,x183,x184)) % 0.76/0.85 [19]~E(x191,x192)+E(f42(x193,x191,x194),f42(x193,x192,x194)) % 0.76/0.85 [20]~E(x201,x202)+E(f42(x203,x204,x201),f42(x203,x204,x202)) % 0.76/0.85 [21]~E(x211,x212)+E(f35(x211),f35(x212)) % 0.76/0.85 [22]~E(x221,x222)+E(f28(x221,x223),f28(x222,x223)) % 0.76/0.85 [23]~E(x231,x232)+E(f28(x233,x231),f28(x233,x232)) % 0.76/0.85 [24]~E(x241,x242)+E(f8(x241,x243),f8(x242,x243)) % 0.76/0.85 [25]~E(x251,x252)+E(f8(x253,x251),f8(x253,x252)) % 0.76/0.85 [26]~E(x261,x262)+E(f32(x261),f32(x262)) % 0.76/0.85 [27]~E(x271,x272)+E(f48(x271,x273),f48(x272,x273)) % 0.76/0.85 [28]~E(x281,x282)+E(f48(x283,x281),f48(x283,x282)) % 0.76/0.85 [29]~E(x291,x292)+E(f29(x291),f29(x292)) % 0.76/0.85 [30]~E(x301,x302)+E(f16(x301,x303,x304),f16(x302,x303,x304)) % 0.76/0.85 [31]~E(x311,x312)+E(f16(x313,x311,x314),f16(x313,x312,x314)) % 0.76/0.85 [32]~E(x321,x322)+E(f16(x323,x324,x321),f16(x323,x324,x322)) % 0.76/0.85 [33]~E(x331,x332)+E(f27(x331),f27(x332)) % 0.76/0.85 [34]~E(x341,x342)+E(f39(x341),f39(x342)) % 0.76/0.85 [35]~E(x351,x352)+E(f43(x351,x353,x354,x355),f43(x352,x353,x354,x355)) % 0.76/0.85 [36]~E(x361,x362)+E(f43(x363,x361,x364,x365),f43(x363,x362,x364,x365)) % 0.76/0.85 [37]~E(x371,x372)+E(f43(x373,x374,x371,x375),f43(x373,x374,x372,x375)) % 0.76/0.85 [38]~E(x381,x382)+E(f43(x383,x384,x385,x381),f43(x383,x384,x385,x382)) % 0.76/0.85 [39]~E(x391,x392)+E(f15(x391,x393),f15(x392,x393)) % 0.76/0.85 [40]~E(x401,x402)+E(f15(x403,x401),f15(x403,x402)) % 0.76/0.85 [41]~E(x411,x412)+E(f38(x411),f38(x412)) % 0.76/0.85 [42]~E(x421,x422)+E(f6(x421,x423,x424),f6(x422,x423,x424)) % 0.76/0.85 [43]~E(x431,x432)+E(f6(x433,x431,x434),f6(x433,x432,x434)) % 0.76/0.85 [44]~E(x441,x442)+E(f6(x443,x444,x441),f6(x443,x444,x442)) % 0.76/0.85 [45]~E(x451,x452)+E(f5(x451,x453,x454),f5(x452,x453,x454)) % 0.76/0.85 [46]~E(x461,x462)+E(f5(x463,x461,x464),f5(x463,x462,x464)) % 0.76/0.85 [47]~E(x471,x472)+E(f5(x473,x474,x471),f5(x473,x474,x472)) % 0.76/0.85 [48]~E(x481,x482)+E(f45(x481),f45(x482)) % 0.76/0.85 [49]~E(x491,x492)+E(f9(x491,x493),f9(x492,x493)) % 0.76/0.85 [50]~E(x501,x502)+E(f9(x503,x501),f9(x503,x502)) % 0.76/0.85 [51]~E(x511,x512)+E(f10(x511,x513),f10(x512,x513)) % 0.76/0.85 [52]~E(x521,x522)+E(f10(x523,x521),f10(x523,x522)) % 0.76/0.85 [53]~E(x531,x532)+E(f14(x531,x533,x534),f14(x532,x533,x534)) % 0.76/0.85 [54]~E(x541,x542)+E(f14(x543,x541,x544),f14(x543,x542,x544)) % 0.76/0.85 [55]~E(x551,x552)+E(f14(x553,x554,x551),f14(x553,x554,x552)) % 0.76/0.85 [56]~E(x561,x562)+E(f22(x561,x563,x564),f22(x562,x563,x564)) % 0.76/0.85 [57]~E(x571,x572)+E(f22(x573,x571,x574),f22(x573,x572,x574)) % 0.76/0.85 [58]~E(x581,x582)+E(f22(x583,x584,x581),f22(x583,x584,x582)) % 0.76/0.85 [59]~E(x591,x592)+E(f26(x591),f26(x592)) % 0.76/0.85 [60]~E(x601,x602)+E(f23(x601,x603,x604),f23(x602,x603,x604)) % 0.76/0.85 [61]~E(x611,x612)+E(f23(x613,x611,x614),f23(x613,x612,x614)) % 0.76/0.85 [62]~E(x621,x622)+E(f23(x623,x624,x621),f23(x623,x624,x622)) % 0.76/0.85 [63]~E(x631,x632)+E(f57(x631,x633,x634),f57(x632,x633,x634)) % 0.76/0.85 [64]~E(x641,x642)+E(f57(x643,x641,x644),f57(x643,x642,x644)) % 0.76/0.85 [65]~E(x651,x652)+E(f57(x653,x654,x651),f57(x653,x654,x652)) % 0.76/0.85 [66]~E(x661,x662)+E(f12(x661,x663),f12(x662,x663)) % 0.76/0.85 [67]~E(x671,x672)+E(f12(x673,x671),f12(x673,x672)) % 0.76/0.85 [68]~E(x681,x682)+E(f58(x681,x683,x684,x685),f58(x682,x683,x684,x685)) % 0.76/0.85 [69]~E(x691,x692)+E(f58(x693,x691,x694,x695),f58(x693,x692,x694,x695)) % 0.76/0.85 [70]~E(x701,x702)+E(f58(x703,x704,x701,x705),f58(x703,x704,x702,x705)) % 0.76/0.85 [71]~E(x711,x712)+E(f58(x713,x714,x715,x711),f58(x713,x714,x715,x712)) % 0.76/0.85 [72]~E(x721,x722)+E(f56(x721,x723),f56(x722,x723)) % 0.76/0.85 [73]~E(x731,x732)+E(f56(x733,x731),f56(x733,x732)) % 0.76/0.85 [74]~E(x741,x742)+E(f55(x741,x743,x744,x745),f55(x742,x743,x744,x745)) % 0.76/0.85 [75]~E(x751,x752)+E(f55(x753,x751,x754,x755),f55(x753,x752,x754,x755)) % 0.76/0.85 [76]~E(x761,x762)+E(f55(x763,x764,x761,x765),f55(x763,x764,x762,x765)) % 0.76/0.85 [77]~E(x771,x772)+E(f55(x773,x774,x775,x771),f55(x773,x774,x775,x772)) % 0.76/0.85 [78]~E(x781,x782)+E(f62(x781,x783,x784),f62(x782,x783,x784)) % 0.76/0.85 [79]~E(x791,x792)+E(f62(x793,x791,x794),f62(x793,x792,x794)) % 0.76/0.85 [80]~E(x801,x802)+E(f62(x803,x804,x801),f62(x803,x804,x802)) % 0.76/0.85 [81]~E(x811,x812)+E(f61(x811,x813,x814),f61(x812,x813,x814)) % 0.76/0.85 [82]~E(x821,x822)+E(f61(x823,x821,x824),f61(x823,x822,x824)) % 0.76/0.85 [83]~E(x831,x832)+E(f61(x833,x834,x831),f61(x833,x834,x832)) % 0.76/0.85 [84]~E(x841,x842)+E(f13(x841,x843),f13(x842,x843)) % 0.76/0.85 [85]~E(x851,x852)+E(f13(x853,x851),f13(x853,x852)) % 0.76/0.85 [86]~E(x861,x862)+E(f59(x861,x863),f59(x862,x863)) % 0.76/0.85 [87]~E(x871,x872)+E(f59(x873,x871),f59(x873,x872)) % 0.76/0.85 [88]~E(x881,x882)+E(f60(x881,x883,x884),f60(x882,x883,x884)) % 0.76/0.85 [89]~E(x891,x892)+E(f60(x893,x891,x894),f60(x893,x892,x894)) % 0.76/0.85 [90]~E(x901,x902)+E(f60(x903,x904,x901),f60(x903,x904,x902)) % 0.76/0.85 [91]~P1(x911)+P1(x912)+~E(x911,x912) % 0.76/0.85 [92]~P9(x921)+P9(x922)+~E(x921,x922) % 0.76/0.85 [93]~P4(x931)+P4(x932)+~E(x931,x932) % 0.76/0.85 [94]~P2(x941)+P2(x942)+~E(x941,x942) % 0.76/0.85 [95]~P14(x951)+P14(x952)+~E(x951,x952) % 0.76/0.85 [96]P6(x962,x963,x964)+~E(x961,x962)+~P6(x961,x963,x964) % 0.76/0.85 [97]P6(x973,x972,x974)+~E(x971,x972)+~P6(x973,x971,x974) % 0.76/0.85 [98]P6(x983,x984,x982)+~E(x981,x982)+~P6(x983,x984,x981) % 0.76/0.85 [99]~P10(x991)+P10(x992)+~E(x991,x992) % 0.76/0.85 [100]P8(x1002,x1003,x1004)+~E(x1001,x1002)+~P8(x1001,x1003,x1004) % 0.76/0.85 [101]P8(x1013,x1012,x1014)+~E(x1011,x1012)+~P8(x1013,x1011,x1014) % 0.76/0.85 [102]P8(x1023,x1024,x1022)+~E(x1021,x1022)+~P8(x1023,x1024,x1021) % 0.76/0.85 [103]~P16(x1031)+P16(x1032)+~E(x1031,x1032) % 0.76/0.85 [104]~P17(x1041)+P17(x1042)+~E(x1041,x1042) % 0.76/0.85 [105]~P13(x1051)+P13(x1052)+~E(x1051,x1052) % 0.76/0.85 [106]~P15(x1061)+P15(x1062)+~E(x1061,x1062) % 0.76/0.85 [107]~P11(x1071)+P11(x1072)+~E(x1071,x1072) % 0.76/0.85 [108]~P3(x1081)+P3(x1082)+~E(x1081,x1082) % 0.76/0.85 [109]P7(x1092,x1093,x1094)+~E(x1091,x1092)+~P7(x1091,x1093,x1094) % 0.76/0.85 [110]P7(x1103,x1102,x1104)+~E(x1101,x1102)+~P7(x1103,x1101,x1104) % 0.76/0.85 [111]P7(x1113,x1114,x1112)+~E(x1111,x1112)+~P7(x1113,x1114,x1111) % 0.76/0.85 [112]~P18(x1121)+P18(x1122)+~E(x1121,x1122) % 0.76/0.85 [113]P5(x1132,x1133,x1134,x1135)+~E(x1131,x1132)+~P5(x1131,x1133,x1134,x1135) % 0.76/0.85 [114]P5(x1143,x1142,x1144,x1145)+~E(x1141,x1142)+~P5(x1143,x1141,x1144,x1145) % 0.76/0.85 [115]P5(x1153,x1154,x1152,x1155)+~E(x1151,x1152)+~P5(x1153,x1154,x1151,x1155) % 0.76/0.85 [116]P5(x1163,x1164,x1165,x1162)+~E(x1161,x1162)+~P5(x1163,x1164,x1165,x1161) % 0.76/0.85 [117]~P12(x1171)+P12(x1172)+~E(x1171,x1172) % 0.76/0.85 % 0.76/0.85 %------------------------------------------- % 0.76/0.85 cnf(784,plain, % 0.76/0.85 ($false), % 0.76/0.85 inference(scs_inference,[],[214,366]), % 0.76/0.85 ['proof']). % 0.76/0.85 % SZS output end Proof % 0.76/0.85 % Total time :0.040000s %------------------------------------------------------------------------------