%------------------------------------------------------------------------------ % File : CSE---1.7 % Problem : SWV816-1 : TPTP v8.2.0. Released v4.1.0. % Transfm : none % Format : tptp:raw % Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s % Computer : n025.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 16:48:33 EDT 2024 % Result : Unsatisfiable 1.79s 1.80s % Output : CNFRefutation 1.79s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.08/0.13 % Problem : SWV816-1 : TPTP v8.2.0. Released v4.1.0. % 0.08/0.13 % Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s % 0.12/0.34 % Computer : n025.cluster.edu % 0.12/0.34 % Model : x86_64 x86_64 % 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.12/0.34 % Memory : 8042.1875MB % 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.12/0.34 % CPULimit : 300 % 0.12/0.34 % WCLimit : 300 % 0.12/0.34 % DateTime : Thu Jun 20 18:21:24 EDT 2024 % 0.12/0.34 % CPUTime : % 0.65/0.65 start to proof:theBenchmark % 1.68/1.75 %------------------------------------------- % 1.68/1.75 % File :CSE---1.7 % 1.68/1.75 % Problem :theBenchmark % 1.68/1.75 % Transform :cnf % 1.68/1.75 % Format :tptp:raw % 1.68/1.75 % Command :java -jar mcs_scs.jar %d %s % 1.68/1.75 % 1.68/1.75 % Result :Theorem 0.880000s % 1.68/1.75 % Output :CNFRefutation 0.880000s % 1.68/1.75 %------------------------------------------- % 1.68/1.76 %------------------------------------------------------------------------------ % 1.68/1.76 % File : SWV816-1 : TPTP v8.2.0. Released v4.1.0. % 1.68/1.76 % Domain : Software Verification % 1.68/1.76 % Problem : Needham-Schroeder shared-key protocol 518_1 % 1.68/1.76 % Version : Especial. % 1.68/1.76 % English : % 1.68/1.76 % 1.68/1.76 % Refs : [BAN89] Burrows et al. (1989), A Logic of Authentication % 1.68/1.76 % : [Nip10] Nipkow (2010), Email to Geoff Sutcliffe % 1.68/1.76 % : [BN10] Boehme & Nipkow (2010), Sledgehammer: Judgement Day % 1.68/1.76 % Source : [Nip10] % 1.68/1.76 % Names : NS_Shared-518_1 [Nip10] % 1.68/1.76 % 1.68/1.76 % Status : Unsatisfiable % 1.68/1.76 % Rating : 0.30 v8.2.0, 0.38 v8.1.0, 0.32 v7.5.0, 0.42 v7.4.0, 0.47 v7.3.0, 0.42 v7.2.0, 0.33 v7.1.0, 0.25 v7.0.0, 0.53 v6.4.0, 0.47 v6.3.0, 0.36 v6.2.0, 0.50 v6.1.0, 0.64 v6.0.0, 0.70 v5.5.0, 0.85 v5.3.0, 0.89 v5.2.0, 0.88 v5.0.0, 0.86 v4.1.0 % 1.68/1.76 % Syntax : Number of clauses : 555 ( 221 unt; 59 nHn; 316 RR) % 1.68/1.76 % Number of literals : 1119 ( 283 equ; 544 neg) % 1.68/1.76 % Maximal clause size : 7 ( 2 avg) % 1.68/1.76 % Maximal term depth : 10 ( 2 avg) % 1.68/1.76 % Number of predicates : 18 ( 17 usr; 0 prp; 1-4 aty) % 1.68/1.76 % Number of functors : 57 ( 57 usr; 18 con; 0-4 aty) % 1.68/1.76 % Number of variables : 1709 ( 452 sgn) % 1.68/1.76 % SPC : CNF_UNS_RFO_SEQ_NHN % 1.68/1.76 % 1.68/1.76 % Comments : % 1.68/1.76 %------------------------------------------------------------------------------ % 1.68/1.76 cnf(cls_Compl__anti__mono_0,axiom, % 1.68/1.76 ( 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)) % 1.68/1.76 | ~ c_lessequals(V_A,V_B,tc_fun(T_a,tc_bool)) ) ). % 1.68/1.76 % 1.68/1.76 cnf(cls_Compl__subset__Compl__iff_0,axiom, % 1.68/1.76 ( c_lessequals(V_B,V_A,tc_fun(T_a,tc_bool)) % 1.68/1.76 | ~ 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)) ) ). % 1.68/1.76 % 1.68/1.76 cnf(cls_Compl__subset__Compl__iff_1,axiom, % 1.68/1.76 ( 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)) % 1.68/1.76 | ~ c_lessequals(V_B,V_A,tc_fun(T_a,tc_bool)) ) ). % 1.68/1.76 % 1.68/1.76 cnf(cls_synth__mono_0,axiom, % 1.68/1.76 ( c_lessequals(c_Message_Osynth(V_G),c_Message_Osynth(V_H),tc_fun(tc_Message_Omsg,tc_bool)) % 1.68/1.76 | ~ c_lessequals(V_G,V_H,tc_fun(tc_Message_Omsg,tc_bool)) ) ). % 1.68/1.76 % 1.68/1.76 cnf(cls_append__Nil2_0,axiom, % 1.68/1.76 c_List_Oappend(V_xs,c_List_Olist_ONil(T_a),T_a) = V_xs ). % 1.68/1.76 % 1.68/1.76 cnf(cls_eq__Nil__appendI_0,axiom, % 1.68/1.76 V_x = c_List_Oappend(c_List_Olist_ONil(T_a),V_x,T_a) ). % 1.68/1.76 % 1.68/1.76 cnf(cls_self__append__conv_1,axiom, % 1.68/1.76 V_xs = c_List_Oappend(V_xs,c_List_Olist_ONil(T_a),T_a) ). % 1.68/1.76 % 1.68/1.76 cnf(cls_append__Nil_0,axiom, % 1.68/1.76 c_List_Oappend(c_List_Olist_ONil(T_a),V_ys,T_a) = V_ys ). % 1.68/1.76 % 1.68/1.76 cnf(cls_self__append__conv2_1,axiom, % 1.68/1.76 V_ys = c_List_Oappend(c_List_Olist_ONil(T_a),V_ys,T_a) ). % 1.68/1.76 % 1.68/1.76 cnf(cls_sup__top__right_0,axiom, % 1.68/1.76 ( ~ class_Lattices_Obounded__lattice(T_a) % 1.68/1.76 | c_Lattices_Oupper__semilattice__class_Osup(V_x,c_Orderings_Otop__class_Otop(T_a),T_a) = c_Orderings_Otop__class_Otop(T_a) ) ). % 1.68/1.76 % 1.68/1.76 cnf(cls_sup__top__left_0,axiom, % 1.68/1.76 ( ~ class_Lattices_Obounded__lattice(T_a) % 1.68/1.76 | c_Lattices_Oupper__semilattice__class_Osup(c_Orderings_Otop__class_Otop(T_a),V_x,T_a) = c_Orderings_Otop__class_Otop(T_a) ) ). % 1.68/1.76 % 1.68/1.76 cnf(cls_Un__UNIV__left_0,axiom, % 1.68/1.76 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)) ). % 1.68/1.76 % 1.68/1.76 cnf(cls_Un__UNIV__right_0,axiom, % 1.68/1.76 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)) ). % 1.68/1.76 % 1.68/1.76 cnf(cls_parts__Un__subset2_0,axiom, % 1.68/1.76 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)) ). % 1.68/1.76 % 1.68/1.76 cnf(cls_subset__insertI_0,axiom, % 1.68/1.76 c_lessequals(V_B,c_Set_Oinsert(V_a,V_B,T_a),tc_fun(T_a,tc_bool)) ). % 1.68/1.76 % 1.68/1.76 cnf(cls_sup1E_0,axiom, % 1.68/1.76 ( hBOOL(hAPP(V_B,V_x)) % 1.68/1.76 | hBOOL(hAPP(V_A,V_x)) % 1.68/1.76 | ~ hBOOL(hAPP(c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_a,tc_bool)),V_x)) ) ). % 1.68/1.76 % 1.68/1.76 cnf(cls_sup1CI_0,axiom, % 1.68/1.76 ( hBOOL(hAPP(c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_a,tc_bool)),V_x)) % 1.68/1.76 | ~ hBOOL(hAPP(V_B,V_x)) ) ). % 1.68/1.76 % 1.68/1.76 cnf(cls_sup1CI_1,axiom, % 1.68/1.76 ( hBOOL(hAPP(c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_a,tc_bool)),V_x)) % 1.68/1.76 | ~ hBOOL(hAPP(V_A,V_x)) ) ). % 1.68/1.76 % 1.68/1.76 cnf(cls_Nil__is__append__conv_0,axiom, % 1.68/1.76 ( c_List_Olist_ONil(T_a) != c_List_Oappend(V_xs,V_ys,T_a) % 1.68/1.76 | V_xs = c_List_Olist_ONil(T_a) ) ). % 1.68/1.76 % 1.68/1.76 cnf(cls_Nil__is__append__conv_1,axiom, % 1.68/1.76 ( c_List_Olist_ONil(T_a) != c_List_Oappend(V_xs,V_ys,T_a) % 1.68/1.76 | V_ys = c_List_Olist_ONil(T_a) ) ). % 1.68/1.76 % 1.68/1.76 cnf(cls_append__is__Nil__conv_0,axiom, % 1.68/1.76 ( c_List_Oappend(V_xs,V_ys,T_a) != c_List_Olist_ONil(T_a) % 1.68/1.76 | V_xs = c_List_Olist_ONil(T_a) ) ). % 1.68/1.76 % 1.68/1.76 cnf(cls_append__is__Nil__conv_1,axiom, % 1.68/1.76 ( c_List_Oappend(V_xs,V_ys,T_a) != c_List_Olist_ONil(T_a) % 1.68/1.76 | V_ys = c_List_Olist_ONil(T_a) ) ). % 1.68/1.76 % 1.68/1.76 cnf(cls_ns__sharedp_ONil_0,axiom, % 1.68/1.76 c_NS__Shared__Mirabelle_Ons__sharedp(c_List_Olist_ONil(tc_Event_Oevent)) ). % 1.68/1.76 % 1.68/1.76 cnf(cls_synth__Un_0,axiom, % 1.68/1.76 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)) ). % 1.68/1.76 % 1.68/1.76 cnf(cls_le__imp__neg__le_0,axiom, % 1.68/1.76 ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a) % 1.68/1.76 | c_lessequals(c_HOL_Ouminus__class_Ouminus(V_b,T_a),c_HOL_Ouminus__class_Ouminus(V_a,T_a),T_a) % 1.68/1.76 | ~ c_lessequals(V_a,V_b,T_a) ) ). % 1.68/1.76 % 1.68/1.76 cnf(cls_neg__le__iff__le_0,axiom, % 1.68/1.76 ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a) % 1.68/1.76 | c_lessequals(V_a,V_b,T_a) % 1.68/1.76 | ~ c_lessequals(c_HOL_Ouminus__class_Ouminus(V_b,T_a),c_HOL_Ouminus__class_Ouminus(V_a,T_a),T_a) ) ). % 1.68/1.76 % 1.68/1.76 cnf(cls_Un__insert__right_0,axiom, % 1.68/1.76 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) ). % 1.68/1.76 % 1.68/1.76 cnf(cls_Un__insert__left_0,axiom, % 1.68/1.76 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) ). % 1.68/1.76 % 1.68/1.76 cnf(cls_event_Osimps_I4_J_0,axiom, % 1.68/1.76 c_Event_Oevent_OSays(V_agent1,V_agent2,V_msg) != c_Event_Oevent_OGets(V_agent_H,V_msg_H) ). % 1.68/1.76 % 1.68/1.76 cnf(cls_same__append__eq_0,axiom, % 1.68/1.76 ( c_List_Oappend(V_xs,V_ys,T_a) != c_List_Oappend(V_xs,V_zs,T_a) % 1.68/1.76 | V_ys = V_zs ) ). % 1.68/1.76 % 1.68/1.76 cnf(cls_append__same__eq_0,axiom, % 1.68/1.76 ( c_List_Oappend(V_ys,V_xs,T_a) != c_List_Oappend(V_zs,V_xs,T_a) % 1.68/1.76 | V_ys = V_zs ) ). % 1.68/1.76 % 1.68/1.76 cnf(cls_subset__insertI2_0,axiom, % 1.68/1.76 ( c_lessequals(V_A,c_Set_Oinsert(V_b,V_B,T_a),tc_fun(T_a,tc_bool)) % 1.68/1.76 | ~ c_lessequals(V_A,V_B,tc_fun(T_a,tc_bool)) ) ). % 1.68/1.76 % 1.68/1.76 cnf(cls_insert__subset_1,axiom, % 1.68/1.76 ( c_lessequals(V_A,V_B,tc_fun(T_a,tc_bool)) % 1.68/1.76 | ~ c_lessequals(c_Set_Oinsert(V_x,V_A,T_a),V_B,tc_fun(T_a,tc_bool)) ) ). % 1.68/1.76 % 1.68/1.76 cnf(cls_Un__absorb_0,axiom, % 1.68/1.76 c_Lattices_Oupper__semilattice__class_Osup(V_A,V_A,tc_fun(T_a,tc_bool)) = V_A ). % 1.68/1.76 % 1.68/1.76 cnf(cls_sup__idem_0,axiom, % 1.68/1.76 ( ~ class_Lattices_Oupper__semilattice(T_a) % 1.68/1.76 | c_Lattices_Oupper__semilattice__class_Osup(V_x,V_x,T_a) = V_x ) ). % 1.68/1.76 % 1.68/1.76 cnf(cls_analz__Un_0,axiom, % 1.68/1.76 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)) ). % 1.68/1.76 % 1.68/1.76 cnf(cls_parts__Un__subset1_0,axiom, % 1.68/1.76 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)) ). % 1.68/1.76 % 1.68/1.76 cnf(cls_synth__subset__iff_1,axiom, % 1.68/1.76 ( c_lessequals(c_Message_Osynth(V_G),c_Message_Osynth(V_H),tc_fun(tc_Message_Omsg,tc_bool)) % 1.68/1.76 | ~ c_lessequals(V_G,c_Message_Osynth(V_H),tc_fun(tc_Message_Omsg,tc_bool)) ) ). % 1.68/1.76 % 1.68/1.76 cnf(cls_synth__subset__iff_0,axiom, % 1.68/1.76 ( c_lessequals(V_G,c_Message_Osynth(V_H),tc_fun(tc_Message_Omsg,tc_bool)) % 1.68/1.76 | ~ c_lessequals(c_Message_Osynth(V_G),c_Message_Osynth(V_H),tc_fun(tc_Message_Omsg,tc_bool)) ) ). % 1.68/1.76 % 1.68/1.76 cnf(cls_Un__left__commute_0,axiom, % 1.68/1.76 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)) ). % 1.68/1.76 % 1.68/1.76 cnf(cls_Un__assoc_0,axiom, % 1.68/1.76 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)) ). % 1.68/1.76 % 1.68/1.76 cnf(cls_sup__assoc_0,axiom, % 1.68/1.76 ( ~ class_Lattices_Oupper__semilattice(T_a) % 1.68/1.76 | 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) ) ). % 1.68/1.76 % 1.68/1.76 cnf(cls_sup__left__commute_0,axiom, % 1.68/1.76 ( ~ class_Lattices_Oupper__semilattice(T_a) % 1.68/1.76 | 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) ) ). % 1.68/1.76 % 1.68/1.76 cnf(cls_analz__image__freshK__simps_I65_J_0,axiom, % 1.68/1.76 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)) ). % 1.68/1.76 % 1.68/1.76 cnf(cls_inf__sup__aci_I7_J_0,axiom, % 1.68/1.76 ( ~ class_Lattices_Olattice(T_a) % 1.68/1.76 | 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) ) ). % 1.68/1.76 % 1.68/1.76 cnf(cls_inf__sup__aci_I6_J_0,axiom, % 1.76/1.76 ( ~ class_Lattices_Olattice(T_a) % 1.76/1.76 | 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) ) ). % 1.76/1.76 % 1.76/1.76 cnf(cls_Un__subset__iff_2,axiom, % 1.76/1.76 ( 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)) % 1.76/1.76 | ~ c_lessequals(V_B,V_C,tc_fun(T_a,tc_bool)) % 1.76/1.76 | ~ c_lessequals(V_A,V_C,tc_fun(T_a,tc_bool)) ) ). % 1.76/1.76 % 1.76/1.76 cnf(cls_Un__upper2_0,axiom, % 1.76/1.76 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)) ). % 1.76/1.76 % 1.76/1.76 cnf(cls_Un__upper1_0,axiom, % 1.76/1.76 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)) ). % 1.76/1.76 % 1.76/1.76 cnf(cls_Un__least_0,axiom, % 1.76/1.76 ( 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)) % 1.76/1.76 | ~ c_lessequals(V_B,V_C,tc_fun(T_a,tc_bool)) % 1.76/1.76 | ~ c_lessequals(V_A,V_C,tc_fun(T_a,tc_bool)) ) ). % 1.76/1.76 % 1.76/1.76 cnf(cls_le__supI_0,axiom, % 1.76/1.76 ( ~ class_Lattices_Oupper__semilattice(T_a) % 1.76/1.76 | c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(V_a,V_b,T_a),V_x,T_a) % 1.76/1.76 | ~ c_lessequals(V_b,V_x,T_a) % 1.76/1.76 | ~ c_lessequals(V_a,V_x,T_a) ) ). % 1.76/1.76 % 1.76/1.76 cnf(cls_sup__ge1_0,axiom, % 1.76/1.77 ( ~ class_Lattices_Oupper__semilattice(T_a) % 1.76/1.77 | c_lessequals(V_x,c_Lattices_Oupper__semilattice__class_Osup(V_x,V_y,T_a),T_a) ) ). % 1.76/1.77 % 1.76/1.77 cnf(cls_sup__ge2_0,axiom, % 1.76/1.77 ( ~ class_Lattices_Oupper__semilattice(T_a) % 1.76/1.77 | c_lessequals(V_y,c_Lattices_Oupper__semilattice__class_Osup(V_x,V_y,T_a),T_a) ) ). % 1.76/1.77 % 1.76/1.77 cnf(cls_sup__least_0,axiom, % 1.76/1.77 ( ~ class_Lattices_Oupper__semilattice(T_a) % 1.76/1.77 | c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(V_y,V_z,T_a),V_x,T_a) % 1.76/1.77 | ~ c_lessequals(V_z,V_x,T_a) % 1.76/1.77 | ~ c_lessequals(V_y,V_x,T_a) ) ). % 1.76/1.77 % 1.76/1.77 cnf(cls_le__sup__iff_2,axiom, % 1.76/1.77 ( ~ class_Lattices_Oupper__semilattice(T_a) % 1.76/1.77 | c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(V_x,V_y,T_a),V_z,T_a) % 1.76/1.77 | ~ c_lessequals(V_y,V_z,T_a) % 1.76/1.77 | ~ c_lessequals(V_x,V_z,T_a) ) ). % 1.76/1.77 % 1.76/1.77 cnf(cls_inf__sup__ord_I4_J_0,axiom, % 1.76/1.77 ( ~ class_Lattices_Olattice(T_a) % 1.76/1.77 | c_lessequals(V_y,c_Lattices_Oupper__semilattice__class_Osup(V_x,V_y,T_a),T_a) ) ). % 1.76/1.77 % 1.76/1.77 cnf(cls_inf__sup__ord_I3_J_0,axiom, % 1.76/1.77 ( ~ class_Lattices_Olattice(T_a) % 1.76/1.77 | c_lessequals(V_x,c_Lattices_Oupper__semilattice__class_Osup(V_x,V_y,T_a),T_a) ) ). % 1.76/1.77 % 1.76/1.77 cnf(cls_append__eq__Cons__conv_5,axiom, % 1.76/1.77 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) ). % 1.76/1.77 % 1.76/1.77 cnf(cls_append__Cons_0,axiom, % 1.76/1.77 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) ). % 1.76/1.77 % 1.76/1.77 cnf(cls_knows__subset__knows__Gets_0,axiom, % 1.76/1.77 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)) ). % 1.76/1.77 % 1.76/1.77 cnf(cls_Compl__partition2_0,axiom, % 1.76/1.77 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)) ). % 1.76/1.77 % 1.76/1.77 cnf(cls_Compl__partition_0,axiom, % 1.76/1.77 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)) ). % 1.76/1.77 % 1.76/1.77 cnf(cls_compl__sup__top_0,axiom, % 1.76/1.77 ( ~ class_Lattices_Oboolean__algebra(T_a) % 1.76/1.77 | 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) ) ). % 1.76/1.77 % 1.76/1.77 cnf(cls_sup__compl__top_0,axiom, % 1.76/1.77 ( ~ class_Lattices_Oboolean__algebra(T_a) % 1.76/1.77 | 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) ) ). % 1.76/1.77 % 1.76/1.77 cnf(cls_Cons__eq__append__conv_5,axiom, % 1.76/1.77 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) ). % 1.76/1.77 % 1.76/1.77 cnf(cls_Cons__eq__appendI_0,axiom, % 1.76/1.77 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) ). % 1.76/1.77 % 1.76/1.77 cnf(cls_Un__commute_0,axiom, % 1.76/1.77 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)) ). % 1.76/1.77 % 1.76/1.77 cnf(cls_sup__commute_0,axiom, % 1.76/1.77 ( ~ class_Lattices_Oupper__semilattice(T_a) % 1.76/1.77 | c_Lattices_Oupper__semilattice__class_Osup(V_x,V_y,T_a) = c_Lattices_Oupper__semilattice__class_Osup(V_y,V_x,T_a) ) ). % 1.76/1.77 % 1.76/1.77 cnf(cls_inf__sup__aci_I5_J_0,axiom, % 1.76/1.77 ( ~ class_Lattices_Olattice(T_a) % 1.76/1.77 | c_Lattices_Oupper__semilattice__class_Osup(V_x,V_y,T_a) = c_Lattices_Oupper__semilattice__class_Osup(V_y,V_x,T_a) ) ). % 1.76/1.77 % 1.76/1.77 cnf(cls_Un__left__absorb_0,axiom, % 1.76/1.77 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)) ). % 1.76/1.77 % 1.76/1.77 cnf(cls_sup__left__idem_0,axiom, % 1.76/1.77 ( ~ class_Lattices_Oupper__semilattice(T_a) % 1.76/1.77 | 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) ) ). % 1.76/1.77 % 1.76/1.77 cnf(cls_inf__sup__aci_I8_J_0,axiom, % 1.76/1.77 ( ~ class_Lattices_Olattice(T_a) % 1.76/1.77 | 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) ) ). % 1.76/1.77 % 1.76/1.77 cnf(cls_event_Osimps_I5_J_0,axiom, % 1.76/1.77 c_Event_Oevent_OGets(V_agent_H,V_msg_H) != c_Event_Oevent_OSays(V_agent1,V_agent2,V_msg) ). % 1.76/1.77 % 1.76/1.77 cnf(cls_Nil__is__append__conv_2,axiom, % 1.76/1.77 c_List_Olist_ONil(T_a) = c_List_Oappend(c_List_Olist_ONil(T_a),c_List_Olist_ONil(T_a),T_a) ). % 1.76/1.77 % 1.76/1.77 cnf(cls_rev__append_0,axiom, % 1.76/1.77 c_List_Orev(c_List_Oappend(V_xs,V_ys,T_a),T_a) = c_List_Oappend(c_List_Orev(V_ys,T_a),c_List_Orev(V_xs,T_a),T_a) ). % 1.76/1.77 % 1.76/1.77 cnf(cls_keysFor__mono_0,axiom, % 1.76/1.77 ( c_lessequals(c_Message_OkeysFor(V_G),c_Message_OkeysFor(V_H),tc_fun(tc_nat,tc_bool)) % 1.76/1.77 | ~ c_lessequals(V_G,V_H,tc_fun(tc_Message_Omsg,tc_bool)) ) ). % 1.76/1.77 % 1.76/1.77 cnf(cls_double__complement_0,axiom, % 1.76/1.77 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 ). % 1.76/1.77 % 1.76/1.77 cnf(cls_minus__minus_0,axiom, % 1.76/1.77 ( ~ class_OrderedGroup_Ogroup__add(T_a) % 1.76/1.77 | c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(V_a,T_a),T_a) = V_a ) ). % 1.76/1.77 % 1.76/1.77 cnf(cls_double__compl_0,axiom, % 1.76/1.77 ( ~ class_Lattices_Oboolean__algebra(T_a) % 1.76/1.77 | c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(V_x,T_a),T_a) = V_x ) ). % 1.76/1.77 % 1.76/1.77 cnf(cls_equation__minus__iff_0,axiom, % 1.76/1.77 ( ~ class_OrderedGroup_Ogroup__add(T_a) % 1.76/1.77 | V_b = c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(V_b,T_a),T_a) ) ). % 1.76/1.77 % 1.76/1.77 cnf(cls_equation__minus__iff_1,axiom, % 1.76/1.77 ( ~ class_OrderedGroup_Ogroup__add(T_a) % 1.76/1.77 | V_a = c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(V_a,T_a),T_a) ) ). % 1.76/1.77 % 1.76/1.77 cnf(cls_minus__equation__iff_1,axiom, % 1.76/1.77 ( ~ class_OrderedGroup_Ogroup__add(T_a) % 1.76/1.77 | c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(V_b,T_a),T_a) = V_b ) ). % 1.76/1.77 % 1.76/1.77 cnf(cls_le__funD_0,axiom, % 1.76/1.77 ( ~ class_HOL_Oord(T_b) % 1.76/1.77 | c_lessequals(hAPP(V_f,V_x),hAPP(V_g,V_x),T_b) % 1.76/1.77 | ~ c_lessequals(V_f,V_g,tc_fun(T_a,T_b)) ) ). % 1.76/1.77 % 1.76/1.77 cnf(cls_le__minus__iff_0,axiom, % 1.76/1.77 ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a) % 1.76/1.77 | c_lessequals(V_b,c_HOL_Ouminus__class_Ouminus(V_a,T_a),T_a) % 1.76/1.77 | ~ c_lessequals(V_a,c_HOL_Ouminus__class_Ouminus(V_b,T_a),T_a) ) ). % 1.76/1.77 % 1.76/1.77 cnf(cls_le__minus__iff_1,axiom, % 1.76/1.77 ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a) % 1.76/1.77 | c_lessequals(V_a,c_HOL_Ouminus__class_Ouminus(V_b,T_a),T_a) % 1.76/1.77 | ~ c_lessequals(V_b,c_HOL_Ouminus__class_Ouminus(V_a,T_a),T_a) ) ). % 1.76/1.77 % 1.76/1.77 cnf(cls_minus__le__iff_0,axiom, % 1.76/1.77 ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a) % 1.76/1.77 | c_lessequals(c_HOL_Ouminus__class_Ouminus(V_b,T_a),V_a,T_a) % 1.76/1.77 | ~ c_lessequals(c_HOL_Ouminus__class_Ouminus(V_a,T_a),V_b,T_a) ) ). % 1.76/1.77 % 1.76/1.77 cnf(cls_minus__le__iff_1,axiom, % 1.76/1.77 ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a) % 1.76/1.77 | c_lessequals(c_HOL_Ouminus__class_Ouminus(V_a,T_a),V_b,T_a) % 1.76/1.77 | ~ c_lessequals(c_HOL_Ouminus__class_Ouminus(V_b,T_a),V_a,T_a) ) ). % 1.76/1.77 % 1.76/1.77 cnf(cls_subset__iff_0,axiom, % 1.76/1.77 ( c_in(V_t,V_B,T_a) % 1.76/1.77 | ~ c_in(V_t,V_A,T_a) % 1.76/1.77 | ~ c_lessequals(V_A,V_B,tc_fun(T_a,tc_bool)) ) ). % 1.76/1.77 % 1.76/1.77 cnf(cls_set__rev__mp_0,axiom, % 1.76/1.77 ( c_in(V_x,V_B,T_a) % 1.76/1.77 | ~ c_lessequals(V_A,V_B,tc_fun(T_a,tc_bool)) % 1.76/1.77 | ~ c_in(V_x,V_A,T_a) ) ). % 1.76/1.77 % 1.76/1.77 cnf(cls_subsetD_0,axiom, % 1.76/1.77 ( c_in(V_c,V_B,T_a) % 1.76/1.77 | ~ c_in(V_c,V_A,T_a) % 1.76/1.77 | ~ c_lessequals(V_A,V_B,tc_fun(T_a,tc_bool)) ) ). % 1.76/1.77 % 1.76/1.77 cnf(cls_set__mp_0,axiom, % 1.76/1.77 ( c_in(V_x,V_B,T_a) % 1.76/1.77 | ~ c_in(V_x,V_A,T_a) % 1.76/1.77 | ~ c_lessequals(V_A,V_B,tc_fun(T_a,tc_bool)) ) ). % 1.76/1.77 % 1.76/1.77 cnf(cls_UnCI_1,axiom, % 1.76/1.77 ( c_in(V_c,c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_a,tc_bool)),T_a) % 1.76/1.77 | ~ c_in(V_c,V_A,T_a) ) ). % 1.76/1.77 % 1.76/1.77 cnf(cls_UnCI_0,axiom, % 1.76/1.77 ( c_in(V_c,c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_a,tc_bool)),T_a) % 1.76/1.77 | ~ c_in(V_c,V_B,T_a) ) ). % 1.76/1.77 % 1.76/1.77 cnf(cls_UnE_0,axiom, % 1.76/1.77 ( c_in(V_c,V_B,T_a) % 1.76/1.77 | c_in(V_c,V_A,T_a) % 1.76/1.77 | ~ c_in(V_c,c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_a,tc_bool)),T_a) ) ). % 1.76/1.77 % 1.76/1.77 cnf(cls_ComplI_0,axiom, % 1.76/1.77 ( c_in(V_c,c_HOL_Ouminus__class_Ouminus(V_A,tc_fun(T_a,tc_bool)),T_a) % 1.76/1.77 | c_in(V_c,V_A,T_a) ) ). % 1.76/1.77 % 1.76/1.77 cnf(cls_ComplD_0,axiom, % 1.76/1.77 ( ~ c_in(V_c,V_A,T_a) % 1.76/1.77 | ~ c_in(V_c,c_HOL_Ouminus__class_Ouminus(V_A,tc_fun(T_a,tc_bool)),T_a) ) ). % 1.76/1.77 % 1.76/1.77 cnf(cls_parts__Un_0,axiom, % 1.76/1.77 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)) ). % 1.76/1.77 % 1.76/1.77 cnf(cls_parts__increasing_0,axiom, % 1.76/1.77 c_lessequals(V_H,c_Message_Oparts(V_H),tc_fun(tc_Message_Omsg,tc_bool)) ). % 1.76/1.77 % 1.76/1.77 cnf(cls_parts__mono_0,axiom, % 1.76/1.77 ( c_lessequals(c_Message_Oparts(V_G),c_Message_Oparts(V_H),tc_fun(tc_Message_Omsg,tc_bool)) % 1.76/1.77 | ~ c_lessequals(V_G,V_H,tc_fun(tc_Message_Omsg,tc_bool)) ) ). % 1.76/1.77 % 1.76/1.77 cnf(cls_parts__subset__iff_1,axiom, % 1.76/1.77 ( c_lessequals(c_Message_Oparts(V_G),c_Message_Oparts(V_H),tc_fun(tc_Message_Omsg,tc_bool)) % 1.76/1.77 | ~ c_lessequals(V_G,c_Message_Oparts(V_H),tc_fun(tc_Message_Omsg,tc_bool)) ) ). % 1.76/1.77 % 1.76/1.77 cnf(cls_parts__subset__iff_0,axiom, % 1.76/1.77 ( c_lessequals(V_G,c_Message_Oparts(V_H),tc_fun(tc_Message_Omsg,tc_bool)) % 1.76/1.77 | ~ c_lessequals(c_Message_Oparts(V_G),c_Message_Oparts(V_H),tc_fun(tc_Message_Omsg,tc_bool)) ) ). % 1.76/1.77 % 1.76/1.77 cnf(cls_analz__mono_0,axiom, % 1.76/1.77 ( c_lessequals(c_Message_Oanalz(V_G),c_Message_Oanalz(V_H),tc_fun(tc_Message_Omsg,tc_bool)) % 1.76/1.77 | ~ c_lessequals(V_G,V_H,tc_fun(tc_Message_Omsg,tc_bool)) ) ). % 1.76/1.77 % 1.76/1.77 cnf(cls_analz__subset__iff_1,axiom, % 1.76/1.77 ( c_lessequals(c_Message_Oanalz(V_G),c_Message_Oanalz(V_H),tc_fun(tc_Message_Omsg,tc_bool)) % 1.76/1.77 | ~ c_lessequals(V_G,c_Message_Oanalz(V_H),tc_fun(tc_Message_Omsg,tc_bool)) ) ). % 1.76/1.77 % 1.76/1.77 cnf(cls_analz__subset__iff_0,axiom, % 1.76/1.77 ( c_lessequals(V_G,c_Message_Oanalz(V_H),tc_fun(tc_Message_Omsg,tc_bool)) % 1.76/1.77 | ~ c_lessequals(c_Message_Oanalz(V_G),c_Message_Oanalz(V_H),tc_fun(tc_Message_Omsg,tc_bool)) ) ). % 1.76/1.77 % 1.76/1.77 cnf(cls_analz__increasing_0,axiom, % 1.76/1.77 c_lessequals(V_H,c_Message_Oanalz(V_H),tc_fun(tc_Message_Omsg,tc_bool)) ). % 1.76/1.77 % 1.76/1.77 cnf(cls_analz__analz__Un_0,axiom, % 1.76/1.77 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))) ). % 1.76/1.77 % 1.76/1.77 cnf(cls_analz__cong_0,axiom, % 1.76/1.77 ( c_Message_Oanalz(V_H) != c_Message_Oanalz(V_H_H) % 1.76/1.77 | c_Message_Oanalz(V_G) != c_Message_Oanalz(V_G_H) % 1.76/1.77 | 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))) ) ). % 1.76/1.77 % 1.76/1.77 cnf(cls_used__nil__subset_0,axiom, % 1.76/1.77 c_lessequals(c_Event_Oused(c_List_Olist_ONil(tc_Event_Oevent)),c_Event_Oused(V_evs),tc_fun(tc_Message_Omsg,tc_bool)) ). % 1.76/1.77 % 1.76/1.77 cnf(cls_Fake__parts__insert_0,axiom, % 1.76/1.77 ( 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)) % 1.76/1.77 | ~ c_in(V_X,c_Message_Osynth(c_Message_Oanalz(V_H)),tc_Message_Omsg) ) ). % 1.76/1.77 % 1.76/1.77 cnf(cls_in__set__conv__decomp__first_2,axiom, % 1.76/1.77 ( 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) % 1.76/1.77 | c_in(V_x,c_List_Oset(V_xa,T_a),T_a) ) ). % 1.76/1.77 % 1.76/1.77 cnf(cls_in__set__conv__decomp__last_2,axiom, % 1.76/1.77 ( 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) % 1.76/1.77 | c_in(V_x,c_List_Oset(V_xb,T_a),T_a) ) ). % 1.76/1.77 % 1.76/1.77 cnf(cls_in__set__conv__decomp_1,axiom, % 1.76/1.77 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) ). % 1.76/1.77 % 1.76/1.77 cnf(cls_parts__cut_0,axiom, % 1.76/1.77 ( 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) % 1.76/1.77 | ~ c_in(V_X,c_Message_Oparts(V_H),tc_Message_Omsg) % 1.76/1.77 | ~ c_in(V_Y,c_Message_Oparts(c_Set_Oinsert(V_X,V_G,tc_Message_Omsg)),tc_Message_Omsg) ) ). % 1.76/1.77 % 1.76/1.77 cnf(cls_gen__analz__insert__eq_0,axiom, % 1.76/1.77 ( c_Message_Oanalz(c_Set_Oinsert(V_X,V_G,tc_Message_Omsg)) = c_Message_Oanalz(V_G) % 1.76/1.77 | ~ c_lessequals(V_H,V_G,tc_fun(tc_Message_Omsg,tc_bool)) % 1.76/1.77 | ~ c_in(V_X,c_Message_Oanalz(V_H),tc_Message_Omsg) ) ). % 1.76/1.77 % 1.76/1.77 cnf(cls_rev_Osimps_I2_J_0,axiom, % 1.76/1.77 c_List_Orev(c_List_Olist_OCons(V_x,V_xs,T_a),T_a) = c_List_Oappend(c_List_Orev(V_xs,T_a),c_List_Olist_OCons(V_x,c_List_Olist_ONil(T_a),T_a),T_a) ). % 1.76/1.77 % 1.76/1.77 cnf(cls_rev__eq__Cons__iff_0,axiom, % 1.76/1.77 ( c_List_Orev(V_xs,T_a) != c_List_Olist_OCons(V_y,V_ys,T_a) % 1.76/1.77 | V_xs = c_List_Oappend(c_List_Orev(V_ys,T_a),c_List_Olist_OCons(V_y,c_List_Olist_ONil(T_a),T_a),T_a) ) ). % 1.79/1.77 % 1.79/1.77 cnf(cls_rev__eq__Cons__iff_1,axiom, % 1.79/1.77 c_List_Orev(c_List_Oappend(c_List_Orev(V_ys,T_a),c_List_Olist_OCons(V_y,c_List_Olist_ONil(T_a),T_a),T_a),T_a) = c_List_Olist_OCons(V_y,V_ys,T_a) ). % 1.79/1.77 % 1.79/1.77 cnf(cls_analz__insert__Crypt__subset_0,axiom, % 1.79/1.77 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)) ). % 1.79/1.77 % 1.79/1.77 cnf(cls_knows__Spy__Gets_0,axiom, % 1.79/1.77 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) ). % 1.79/1.77 % 1.79/1.77 cnf(cls_knows__subset__knows__Says_0,axiom, % 1.79/1.77 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)) ). % 1.79/1.77 % 1.79/1.77 cnf(cls_not__symKeys__priK_0,axiom, % 1.79/1.77 ~ c_in(hAPP(c_Message_OinvKey,hAPP(c_Public_OpublicKey(V_b),V_A)),c_Message_OsymKeys,tc_nat) ). % 1.79/1.77 % 1.79/1.77 cnf(cls_knows__subset__knows__Notes_0,axiom, % 1.79/1.77 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)) ). % 1.79/1.77 % 1.79/1.77 cnf(cls_analz__image__freshK_2,axiom, % 1.79/1.77 ( 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) % 1.79/1.77 | ~ c_in(hAPP(c_Message_Omsg_OKey,V_K),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,V_evs)),tc_Message_Omsg) % 1.79/1.77 | ~ 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)) % 1.79/1.77 | ~ c_in(V_evs,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent)) ) ). % 1.79/1.77 % 1.79/1.77 cnf(cls_analz__insert__Key_0,axiom, % 1.79/1.77 ( 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) % 1.79/1.77 | c_in(V_K,c_Message_OkeysFor(c_Message_Oanalz(V_H)),tc_nat) ) ). % 1.79/1.77 % 1.79/1.77 cnf(cls_event_Osimps_I2_J_1,axiom, % 1.79/1.77 ( c_Event_Oevent_OGets(V_agent,V_msg) != c_Event_Oevent_OGets(V_agent_H,V_msg_H) % 1.79/1.77 | V_msg = V_msg_H ) ). % 1.79/1.77 % 1.79/1.77 cnf(cls_event_Osimps_I2_J_0,axiom, % 1.79/1.77 ( c_Event_Oevent_OGets(V_agent,V_msg) != c_Event_Oevent_OGets(V_agent_H,V_msg_H) % 1.79/1.77 | V_agent = V_agent_H ) ). % 1.79/1.77 % 1.79/1.77 cnf(cls_compl__eq__compl__iff_0,axiom, % 1.79/1.77 ( ~ class_Lattices_Oboolean__algebra(T_a) % 1.79/1.77 | c_HOL_Ouminus__class_Ouminus(V_x,T_a) != c_HOL_Ouminus__class_Ouminus(V_y,T_a) % 1.79/1.77 | V_x = V_y ) ). % 1.79/1.77 % 1.79/1.77 cnf(cls_neg__equal__iff__equal_0,axiom, % 1.79/1.77 ( ~ class_OrderedGroup_Ogroup__add(T_a) % 1.79/1.77 | c_HOL_Ouminus__class_Ouminus(V_a,T_a) != c_HOL_Ouminus__class_Ouminus(V_b,T_a) % 1.79/1.77 | V_a = V_b ) ). % 1.79/1.77 % 1.79/1.77 cnf(cls_Compl__eq__Compl__iff_0,axiom, % 1.79/1.77 ( 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)) % 1.79/1.77 | V_A = V_B ) ). % 1.79/1.77 % 1.79/1.77 cnf(cls_equalityI_0,axiom, % 1.79/1.77 ( V_A = V_B % 1.79/1.77 | ~ c_lessequals(V_B,V_A,tc_fun(T_a,tc_bool)) % 1.79/1.77 | ~ c_lessequals(V_A,V_B,tc_fun(T_a,tc_bool)) ) ). % 1.79/1.77 % 1.79/1.77 cnf(cls_set__eq__subset_2,axiom, % 1.79/1.77 ( V_A = V_B % 1.79/1.77 | ~ c_lessequals(V_B,V_A,tc_fun(T_a,tc_bool)) % 1.79/1.77 | ~ c_lessequals(V_A,V_B,tc_fun(T_a,tc_bool)) ) ). % 1.79/1.77 % 1.79/1.77 cnf(cls_order__eq__iff_2,axiom, % 1.79/1.77 ( ~ class_Orderings_Oorder(T_a) % 1.79/1.77 | V_x = V_y % 1.79/1.77 | ~ c_lessequals(V_y,V_x,T_a) % 1.79/1.77 | ~ c_lessequals(V_x,V_y,T_a) ) ). % 1.79/1.77 % 1.79/1.77 cnf(cls_order__antisym_0,axiom, % 1.79/1.77 ( ~ class_Orderings_Oorder(T_a) % 1.79/1.77 | V_x = V_y % 1.79/1.77 | ~ c_lessequals(V_y,V_x,T_a) % 1.79/1.77 | ~ c_lessequals(V_x,V_y,T_a) ) ). % 1.79/1.77 % 1.79/1.77 cnf(cls_order__antisym__conv_0,axiom, % 1.79/1.77 ( ~ class_Orderings_Oorder(T_a) % 1.79/1.77 | V_x = V_y % 1.79/1.77 | ~ c_lessequals(V_x,V_y,T_a) % 1.79/1.77 | ~ c_lessequals(V_y,V_x,T_a) ) ). % 1.79/1.77 % 1.79/1.77 cnf(cls_event_Osimps_I8_J_0,axiom, % 1.79/1.77 c_Event_Oevent_OGets(V_agent,V_msg) != c_Event_Oevent_ONotes(V_agent_H,V_msg_H) ). % 1.79/1.77 % 1.79/1.77 cnf(cls_sup__absorb1_0,axiom, % 1.79/1.77 ( ~ class_Lattices_Oupper__semilattice(T_a) % 1.79/1.77 | c_Lattices_Oupper__semilattice__class_Osup(V_x,V_y,T_a) = V_x % 1.79/1.77 | ~ c_lessequals(V_y,V_x,T_a) ) ). % 1.79/1.77 % 1.79/1.77 cnf(cls_le__iff__sup_1,axiom, % 1.79/1.77 ( ~ class_Lattices_Oupper__semilattice(T_a) % 1.79/1.77 | c_Lattices_Oupper__semilattice__class_Osup(V_x,V_y,T_a) != V_y % 1.79/1.77 | c_lessequals(V_x,V_y,T_a) ) ). % 1.79/1.77 % 1.79/1.77 cnf(cls_le__iff__sup_0,axiom, % 1.79/1.77 ( ~ class_Lattices_Oupper__semilattice(T_a) % 1.79/1.78 | c_Lattices_Oupper__semilattice__class_Osup(V_x,V_y,T_a) = V_y % 1.79/1.78 | ~ c_lessequals(V_x,V_y,T_a) ) ). % 1.79/1.78 % 1.79/1.78 cnf(cls_Un__absorb1_0,axiom, % 1.79/1.78 ( c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_a,tc_bool)) = V_B % 1.79/1.78 | ~ c_lessequals(V_A,V_B,tc_fun(T_a,tc_bool)) ) ). % 1.79/1.78 % 1.79/1.78 cnf(cls_Un__absorb2_0,axiom, % 1.79/1.78 ( c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_a,tc_bool)) = V_A % 1.79/1.78 | ~ c_lessequals(V_B,V_A,tc_fun(T_a,tc_bool)) ) ). % 1.79/1.78 % 1.79/1.78 cnf(cls_subset__Un__eq_1,axiom, % 1.79/1.78 ( c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_a,tc_bool)) != V_B % 1.79/1.78 | c_lessequals(V_A,V_B,tc_fun(T_a,tc_bool)) ) ). % 1.79/1.78 % 1.79/1.78 cnf(cls_set__append_0,axiom, % 1.79/1.78 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)) ). % 1.79/1.78 % 1.79/1.78 cnf(cls_analz__image__freshK__simps_I57_J_0,axiom, % 1.79/1.78 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) ). % 1.79/1.78 % 1.79/1.78 cnf(cls_Un__mono_0,axiom, % 1.79/1.78 ( 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)) % 1.79/1.78 | ~ c_lessequals(V_B,V_D,tc_fun(T_a,tc_bool)) % 1.79/1.78 | ~ c_lessequals(V_A,V_C,tc_fun(T_a,tc_bool)) ) ). % 1.79/1.78 % 1.79/1.78 cnf(cls_subset__UNIV_0,axiom, % 1.79/1.78 c_lessequals(V_A,c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)) ). % 1.79/1.78 % 1.79/1.78 cnf(cls_top__greatest_0,axiom, % 1.79/1.78 ( ~ class_Orderings_Otop(T_a) % 1.79/1.78 | c_lessequals(V_x,c_Orderings_Otop__class_Otop(T_a),T_a) ) ). % 1.79/1.78 % 1.79/1.78 cnf(cls_append__self__conv_0,axiom, % 1.79/1.78 ( c_List_Oappend(V_xs,V_ys,T_a) != V_xs % 1.79/1.78 | V_ys = c_List_Olist_ONil(T_a) ) ). % 1.79/1.78 % 1.79/1.78 cnf(cls_self__append__conv_0,axiom, % 1.79/1.78 ( V_xs != c_List_Oappend(V_xs,V_ys,T_a) % 1.79/1.78 | V_ys = c_List_Olist_ONil(T_a) ) ). % 1.79/1.78 % 1.79/1.78 cnf(cls_append__self__conv2_0,axiom, % 1.79/1.78 ( c_List_Oappend(V_xs,V_ys,T_a) != V_ys % 1.79/1.78 | V_xs = c_List_Olist_ONil(T_a) ) ). % 1.79/1.78 % 1.79/1.78 cnf(cls_self__append__conv2_0,axiom, % 1.79/1.78 ( V_ys != c_List_Oappend(V_xs,V_ys,T_a) % 1.79/1.78 | V_xs = c_List_Olist_ONil(T_a) ) ). % 1.79/1.78 % 1.79/1.78 cnf(cls_event_Osimps_I9_J_0,axiom, % 1.79/1.78 c_Event_Oevent_ONotes(V_agent_H,V_msg_H) != c_Event_Oevent_OGets(V_agent,V_msg) ). % 1.79/1.78 % 1.79/1.78 cnf(cls_synth__increasing_0,axiom, % 1.79/1.78 c_lessequals(V_H,c_Message_Osynth(V_H),tc_fun(tc_Message_Omsg,tc_bool)) ). % 1.79/1.78 % 1.79/1.78 cnf(cls_le__sup__iff_1,axiom, % 1.79/1.78 ( ~ class_Lattices_Oupper__semilattice(T_a) % 1.79/1.78 | c_lessequals(V_y,V_z,T_a) % 1.79/1.78 | ~ c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(V_x,V_y,T_a),V_z,T_a) ) ). % 1.79/1.78 % 1.79/1.78 cnf(cls_le__sup__iff_0,axiom, % 1.79/1.78 ( ~ class_Lattices_Oupper__semilattice(T_a) % 1.79/1.78 | c_lessequals(V_x,V_z,T_a) % 1.79/1.78 | ~ c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(V_x,V_y,T_a),V_z,T_a) ) ). % 1.79/1.78 % 1.79/1.78 cnf(cls_le__supI2_0,axiom, % 1.79/1.78 ( ~ class_Lattices_Oupper__semilattice(T_a) % 1.79/1.78 | c_lessequals(V_x,c_Lattices_Oupper__semilattice__class_Osup(V_a,V_b,T_a),T_a) % 1.79/1.78 | ~ c_lessequals(V_x,V_b,T_a) ) ). % 1.79/1.78 % 1.79/1.78 cnf(cls_le__supI1_0,axiom, % 1.79/1.78 ( ~ class_Lattices_Oupper__semilattice(T_a) % 1.79/1.78 | c_lessequals(V_x,c_Lattices_Oupper__semilattice__class_Osup(V_a,V_b,T_a),T_a) % 1.79/1.78 | ~ c_lessequals(V_x,V_a,T_a) ) ). % 1.79/1.78 % 1.79/1.78 cnf(cls_le__supE_1,axiom, % 1.79/1.78 ( ~ class_Lattices_Oupper__semilattice(T_a) % 1.79/1.78 | c_lessequals(V_b,V_x,T_a) % 1.79/1.78 | ~ c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(V_a,V_b,T_a),V_x,T_a) ) ). % 1.79/1.78 % 1.79/1.78 cnf(cls_le__supE_0,axiom, % 1.79/1.78 ( ~ class_Lattices_Oupper__semilattice(T_a) % 1.79/1.78 | c_lessequals(V_a,V_x,T_a) % 1.79/1.78 | ~ c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(V_a,V_b,T_a),V_x,T_a) ) ). % 1.79/1.78 % 1.79/1.78 cnf(cls_Un__subset__iff_0,axiom, % 1.79/1.78 ( c_lessequals(V_A,V_C,tc_fun(T_a,tc_bool)) % 1.79/1.78 | ~ 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)) ) ). % 1.79/1.78 % 1.79/1.78 cnf(cls_Un__subset__iff_1,axiom, % 1.79/1.78 ( c_lessequals(V_B,V_C,tc_fun(T_a,tc_bool)) % 1.79/1.78 | ~ 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)) ) ). % 1.79/1.78 % 1.79/1.78 cnf(cls_xt1_I6_J_0,axiom, % 1.79/1.78 ( ~ class_Orderings_Oorder(T_a) % 1.79/1.78 | c_lessequals(V_z,V_x,T_a) % 1.79/1.78 | ~ c_lessequals(V_z,V_y,T_a) % 1.79/1.78 | ~ c_lessequals(V_y,V_x,T_a) ) ). % 1.79/1.78 % 1.79/1.78 cnf(cls_order__trans_0,axiom, % 1.79/1.78 ( ~ class_Orderings_Opreorder(T_a) % 1.79/1.78 | c_lessequals(V_x,V_z,T_a) % 1.79/1.78 | ~ c_lessequals(V_y,V_z,T_a) % 1.79/1.78 | ~ c_lessequals(V_x,V_y,T_a) ) ). % 1.79/1.78 % 1.79/1.78 cnf(cls_equalityE_0,axiom, % 1.79/1.78 c_lessequals(V_x,V_x,tc_fun(T_a,tc_bool)) ). % 1.79/1.78 % 1.79/1.78 cnf(cls_subset__refl_0,axiom, % 1.79/1.78 c_lessequals(V_A,V_A,tc_fun(T_a,tc_bool)) ). % 1.79/1.78 % 1.79/1.78 cnf(cls_subset__trans_0,axiom, % 1.79/1.78 ( c_lessequals(V_A,V_C,tc_fun(T_a,tc_bool)) % 1.79/1.78 | ~ c_lessequals(V_B,V_C,tc_fun(T_a,tc_bool)) % 1.79/1.78 | ~ c_lessequals(V_A,V_B,tc_fun(T_a,tc_bool)) ) ). % 1.79/1.78 % 1.79/1.78 cnf(cls_predicate1D_0,axiom, % 1.79/1.78 ( hBOOL(hAPP(V_Q,V_x)) % 1.79/1.78 | ~ hBOOL(hAPP(V_P,V_x)) % 1.79/1.78 | ~ c_lessequals(V_P,V_Q,tc_fun(T_a,tc_bool)) ) ). % 1.79/1.78 % 1.79/1.78 cnf(cls_order__eq__iff_0,axiom, % 1.79/1.78 ( ~ class_Orderings_Oorder(T_a) % 1.79/1.78 | c_lessequals(V_x,V_x,T_a) ) ). % 1.79/1.78 % 1.79/1.78 cnf(cls_order__eq__refl_0,axiom, % 1.79/1.78 ( ~ class_Orderings_Opreorder(T_a) % 1.79/1.78 | c_lessequals(V_x,V_x,T_a) ) ). % 1.79/1.78 % 1.79/1.78 cnf(cls_rev__predicate1D_0,axiom, % 1.79/1.78 ( hBOOL(hAPP(V_Q,V_x)) % 1.79/1.78 | ~ c_lessequals(V_P,V_Q,tc_fun(T_a,tc_bool)) % 1.79/1.78 | ~ hBOOL(hAPP(V_P,V_x)) ) ). % 1.79/1.78 % 1.79/1.78 cnf(cls_image__mono_0,axiom, % 1.79/1.78 ( 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)) % 1.79/1.78 | ~ c_lessequals(V_A,V_B,tc_fun(T_a,tc_bool)) ) ). % 1.79/1.78 % 1.79/1.78 cnf(cls_subset__image__iff_2,axiom, % 1.79/1.78 ( ~ c_lessequals(V_x,V_A,tc_fun(T_b,tc_bool)) % 1.79/1.78 | 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)) ) ). % 1.79/1.78 % 1.79/1.78 cnf(cls_insert__mono_0,axiom, % 1.79/1.78 ( 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)) % 1.79/1.78 | ~ c_lessequals(V_C,V_D,tc_fun(T_a,tc_bool)) ) ). % 1.79/1.78 % 1.79/1.78 cnf(cls_append__is__Nil__conv_2,axiom, % 1.79/1.78 c_List_Oappend(c_List_Olist_ONil(T_a),c_List_Olist_ONil(T_a),T_a) = c_List_Olist_ONil(T_a) ). % 1.79/1.78 % 1.79/1.78 cnf(cls_image__Un_0,axiom, % 1.79/1.78 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)) ). % 1.79/1.78 % 1.79/1.78 cnf(cls_analz__subset__cong_0,axiom, % 1.79/1.78 ( 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)) % 1.79/1.78 | ~ c_lessequals(c_Message_Oanalz(V_H),c_Message_Oanalz(V_H_H),tc_fun(tc_Message_Omsg,tc_bool)) % 1.79/1.78 | ~ c_lessequals(c_Message_Oanalz(V_G),c_Message_Oanalz(V_G_H),tc_fun(tc_Message_Omsg,tc_bool)) ) ). % 1.79/1.78 % 1.79/1.78 cnf(cls_append__assoc_0,axiom, % 1.79/1.78 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) ). % 1.79/1.78 % 1.79/1.78 cnf(cls_append__eq__appendI_0,axiom, % 1.79/1.78 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) ). % 1.79/1.78 % 1.79/1.78 cnf(cls_append__eq__append__conv2_4,axiom, % 1.79/1.78 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) ). % 1.79/1.78 % 1.79/1.78 cnf(cls_append__eq__append__conv2_5,axiom, % 1.79/1.78 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) ). % 1.79/1.78 % 1.79/1.78 cnf(cls_linorder__linear_0,axiom, % 1.79/1.78 ( ~ class_Orderings_Olinorder(T_a) % 1.79/1.78 | c_lessequals(V_y,V_x,T_a) % 1.79/1.78 | c_lessequals(V_x,V_y,T_a) ) ). % 1.79/1.78 % 1.79/1.78 cnf(cls_parts__insert__subset__Un_0,axiom, % 1.79/1.78 ( 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)) % 1.79/1.78 | ~ c_in(V_X,V_G,tc_Message_Omsg) ) ). % 1.79/1.78 % 1.79/1.78 cnf(cls_Crypt__imp__keysFor_0,axiom, % 1.79/1.78 ( c_in(V_K,c_Message_OkeysFor(V_H),tc_nat) % 1.79/1.78 | ~ c_in(V_K,c_Message_OsymKeys,tc_nat) % 1.79/1.78 | ~ c_in(c_Message_Omsg_OCrypt(V_K,V_X),V_H,tc_Message_Omsg) ) ). % 1.79/1.78 % 1.79/1.78 cnf(cls_knows__Spy__subset__knows__Spy__Gets_0,axiom, % 1.79/1.78 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)) ). % 1.79/1.78 % 1.79/1.78 cnf(cls_subset__insert_0,axiom, % 1.79/1.78 ( c_lessequals(V_A,V_B,tc_fun(T_a,tc_bool)) % 1.79/1.78 | ~ c_lessequals(V_A,c_Set_Oinsert(V_x,V_B,T_a),tc_fun(T_a,tc_bool)) % 1.79/1.78 | c_in(V_x,V_A,T_a) ) ). % 1.79/1.78 % 1.79/1.78 cnf(cls_subset__insert_1,axiom, % 1.79/1.78 ( c_lessequals(V_A,c_Set_Oinsert(V_x,V_B,T_a),tc_fun(T_a,tc_bool)) % 1.79/1.78 | ~ c_lessequals(V_A,V_B,tc_fun(T_a,tc_bool)) % 1.79/1.78 | c_in(V_x,V_A,T_a) ) ). % 1.79/1.78 % 1.79/1.78 cnf(cls_subset__insert__iff_1,axiom, % 1.79/1.78 ( c_lessequals(V_A,V_B,tc_fun(T_a,tc_bool)) % 1.79/1.78 | c_in(V_x,V_A,T_a) % 1.79/1.78 | ~ c_lessequals(V_A,c_Set_Oinsert(V_x,V_B,T_a),tc_fun(T_a,tc_bool)) ) ). % 1.79/1.78 % 1.79/1.78 cnf(cls_subset__insert__iff_2,axiom, % 1.79/1.78 ( c_lessequals(V_A,c_Set_Oinsert(V_x,V_B,T_a),tc_fun(T_a,tc_bool)) % 1.79/1.78 | ~ c_lessequals(V_A,V_B,tc_fun(T_a,tc_bool)) % 1.79/1.78 | c_in(V_x,V_A,T_a) ) ). % 1.79/1.78 % 1.79/1.78 cnf(cls_insert__subset_0,axiom, % 1.79/1.78 ( c_in(V_x,V_B,T_a) % 1.79/1.78 | ~ c_lessequals(c_Set_Oinsert(V_x,V_A,T_a),V_B,tc_fun(T_a,tc_bool)) ) ). % 1.79/1.78 % 1.79/1.78 cnf(cls_insert__subset_2,axiom, % 1.79/1.78 ( c_lessequals(c_Set_Oinsert(V_x,V_A,T_a),V_B,tc_fun(T_a,tc_bool)) % 1.79/1.78 | ~ c_lessequals(V_A,V_B,tc_fun(T_a,tc_bool)) % 1.79/1.78 | ~ c_in(V_x,V_B,T_a) ) ). % 1.79/1.78 % 1.79/1.78 cnf(cls_image__subset__iff_0,axiom, % 1.79/1.78 ( c_in(hAPP(V_f,V_x),V_B,T_a) % 1.79/1.78 | ~ c_in(V_x,V_A,T_b) % 1.79/1.78 | ~ c_lessequals(c_Set_Oimage(V_f,V_A,T_b,T_a),V_B,tc_fun(T_a,tc_bool)) ) ). % 1.79/1.78 % 1.79/1.78 cnf(cls_Cons__eq__append__conv_4,axiom, % 1.79/1.78 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) ). % 1.79/1.78 % 1.79/1.78 cnf(cls_append__eq__Cons__conv_4,axiom, % 1.79/1.78 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) ). % 1.79/1.78 % 1.79/1.78 cnf(cls_append1__eq__conv_0,axiom, % 1.79/1.78 ( 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) % 1.79/1.78 | V_xs = V_ys ) ). % 1.79/1.78 % 1.79/1.78 cnf(cls_append1__eq__conv_1,axiom, % 1.79/1.78 ( 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) % 1.79/1.78 | V_x = V_y ) ). % 1.79/1.78 % 1.79/1.78 cnf(cls_set__subset__Cons_0,axiom, % 1.79/1.78 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)) ). % 1.79/1.78 % 1.79/1.78 cnf(cls_in__parts__UnE_0,axiom, % 1.79/1.78 ( c_in(V_c,c_Message_Oparts(V_H),tc_Message_Omsg) % 1.79/1.78 | c_in(V_c,c_Message_Oparts(V_G),tc_Message_Omsg) % 1.79/1.78 | ~ 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) ) ). % 1.79/1.78 % 1.79/1.78 cnf(cls_parts__trans_0,axiom, % 1.79/1.78 ( c_in(V_X,c_Message_Oparts(V_H),tc_Message_Omsg) % 1.79/1.78 | ~ c_lessequals(V_G,c_Message_Oparts(V_H),tc_fun(tc_Message_Omsg,tc_bool)) % 1.79/1.78 | ~ c_in(V_X,c_Message_Oparts(V_G),tc_Message_Omsg) ) ). % 1.79/1.78 % 1.79/1.78 cnf(cls_analz__image__freshK__simps_I61_J_0,axiom, % 1.79/1.78 ( 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) % 1.79/1.78 | ~ c_in(V_c,c_Message_Oanalz(V_G),tc_Message_Omsg) ) ). % 1.79/1.78 % 1.79/1.78 cnf(cls_analz__trans_0,axiom, % 1.79/1.78 ( c_in(V_X,c_Message_Oanalz(V_H),tc_Message_Omsg) % 1.79/1.78 | ~ c_lessequals(V_G,c_Message_Oanalz(V_H),tc_fun(tc_Message_Omsg,tc_bool)) % 1.79/1.78 | ~ c_in(V_X,c_Message_Oanalz(V_G),tc_Message_Omsg) ) ). % 1.79/1.78 % 1.79/1.78 cnf(cls_keysFor__insert__MPair_0,axiom, % 1.79/1.78 c_Message_OkeysFor(c_Set_Oinsert(c_Message_Omsg_OMPair(V_X,V_Y),V_H,tc_Message_Omsg)) = c_Message_OkeysFor(V_H) ). % 1.79/1.78 % 1.79/1.78 cnf(cls_analz__subset__parts_0,axiom, % 1.79/1.78 c_lessequals(c_Message_Oanalz(V_H),c_Message_Oparts(V_H),tc_fun(tc_Message_Omsg,tc_bool)) ). % 1.79/1.78 % 1.79/1.78 cnf(cls_synth__trans_0,axiom, % 1.79/1.78 ( c_in(V_X,c_Message_Osynth(V_H),tc_Message_Omsg) % 1.79/1.78 | ~ c_lessequals(V_G,c_Message_Osynth(V_H),tc_fun(tc_Message_Omsg,tc_bool)) % 1.79/1.78 | ~ c_in(V_X,c_Message_Osynth(V_G),tc_Message_Omsg) ) ). % 1.79/1.78 % 1.79/1.78 cnf(cls_parts__insert__subset_0,axiom, % 1.79/1.78 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)) ). % 1.79/1.78 % 1.79/1.78 cnf(cls_Fake__analz__insert_0,axiom, % 1.79/1.78 ( 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)) % 1.79/1.78 | ~ c_in(V_X,c_Message_Osynth(c_Message_Oanalz(V_G)),tc_Message_Omsg) ) ). % 1.79/1.78 % 1.79/1.78 cnf(cls_parts__synth_0,axiom, % 1.79/1.78 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)) ). % 1.79/1.78 % 1.79/1.78 cnf(cls_keysFor__insert__Key_0,axiom, % 1.79/1.78 c_Message_OkeysFor(c_Set_Oinsert(hAPP(c_Message_Omsg_OKey,V_K),V_H,tc_Message_Omsg)) = c_Message_OkeysFor(V_H) ). % 1.79/1.78 % 1.79/1.78 cnf(cls_analz__insert_0,axiom, % 1.79/1.78 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)) ). % 1.79/1.78 % 1.79/1.78 cnf(cls_synth__analz__mono_0,axiom, % 1.79/1.78 ( 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)) % 1.79/1.78 | ~ c_lessequals(V_G,V_H,tc_fun(tc_Message_Omsg,tc_bool)) ) ). % 1.79/1.78 % 1.79/1.78 cnf(cls_analz__synth_0,axiom, % 1.79/1.78 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)) ). % 1.79/1.78 % 1.79/1.78 cnf(cls_analz__synth__Un_0,axiom, % 1.79/1.78 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)) ). % 1.79/1.78 % 1.79/1.78 cnf(cls_keysFor__insert__Agent_0,axiom, % 1.79/1.78 c_Message_OkeysFor(c_Set_Oinsert(c_Message_Omsg_OAgent(V_A),V_H,tc_Message_Omsg)) = c_Message_OkeysFor(V_H) ). % 1.79/1.78 % 1.79/1.78 cnf(cls_synth__insert_0,axiom, % 1.79/1.78 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)) ). % 1.79/1.78 % 1.79/1.78 cnf(cls_keysFor__insert__Nonce_0,axiom, % 1.79/1.78 c_Message_OkeysFor(c_Set_Oinsert(c_Message_Omsg_ONonce(V_N),V_H,tc_Message_Omsg)) = c_Message_OkeysFor(V_H) ). % 1.79/1.78 % 1.79/1.78 cnf(cls_sym__shrK_0,axiom, % 1.79/1.78 c_in(hAPP(c_Public_OshrK,V_X),c_Message_OsymKeys,tc_nat) ). % 1.79/1.78 % 1.79/1.78 cnf(cls_invKey__image__eq_0,axiom, % 1.79/1.78 ( c_in(V_x,V_A,tc_nat) % 1.79/1.78 | ~ c_in(hAPP(c_Message_OinvKey,V_x),c_Set_Oimage(c_Message_OinvKey,V_A,tc_nat,tc_nat),tc_nat) ) ). % 1.79/1.78 % 1.79/1.78 cnf(cls_invKey__image__eq_1,axiom, % 1.79/1.78 ( c_in(hAPP(c_Message_OinvKey,V_x),c_Set_Oimage(c_Message_OinvKey,V_A,tc_nat,tc_nat),tc_nat) % 1.79/1.78 | ~ c_in(V_x,V_A,tc_nat) ) ). % 1.79/1.78 % 1.79/1.78 cnf(cls_symKeys__invKey__iff_0,axiom, % 1.79/1.78 ( c_in(V_K,c_Message_OsymKeys,tc_nat) % 1.79/1.78 | ~ c_in(hAPP(c_Message_OinvKey,V_K),c_Message_OsymKeys,tc_nat) ) ). % 1.79/1.78 % 1.79/1.78 cnf(cls_symKeys__invKey__iff_1,axiom, % 1.79/1.78 ( c_in(hAPP(c_Message_OinvKey,V_K),c_Message_OsymKeys,tc_nat) % 1.79/1.78 | ~ c_in(V_K,c_Message_OsymKeys,tc_nat) ) ). % 1.79/1.78 % 1.79/1.78 cnf(cls_invKey__K_0,axiom, % 1.79/1.78 ( hAPP(c_Message_OinvKey,V_K) = V_K % 1.79/1.78 | ~ c_in(V_K,c_Message_OsymKeys,tc_nat) ) ). % 1.79/1.78 % 1.79/1.78 cnf(cls_not__symKeys__pubK_0,axiom, % 1.79/1.78 ~ c_in(hAPP(c_Public_OpublicKey(V_b),V_A),c_Message_OsymKeys,tc_nat) ). % 1.79/1.78 % 1.79/1.78 cnf(cls_knows__subset__knows__Cons_0,axiom, % 1.79/1.78 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)) ). % 1.79/1.78 % 1.79/1.78 cnf(cls_used__Gets_0,axiom, % 1.79/1.78 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) ). % 1.79/1.78 % 1.79/1.78 cnf(cls_spies__Gets__rev_0,axiom, % 1.79/1.78 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) ). % 1.79/1.78 % 1.79/1.78 cnf(cls_initState__subset__knows_0,axiom, % 1.79/1.78 c_lessequals(c_Event_OinitState(V_A),c_Event_Oknows(V_A,V_evs),tc_fun(tc_Message_Omsg,tc_bool)) ). % 1.79/1.78 % 1.79/1.78 cnf(cls_keysFor__parts__insert_0,axiom, % 1.79/1.78 ( c_in(hAPP(c_Message_Omsg_OKey,hAPP(c_Message_OinvKey,V_K)),c_Message_Oparts(V_H),tc_Message_Omsg) % 1.79/1.78 | 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) % 1.79/1.78 | ~ c_in(V_X,c_Message_Osynth(c_Message_Oanalz(V_H)),tc_Message_Omsg) % 1.79/1.78 | ~ c_in(V_K,c_Message_OkeysFor(c_Message_Oparts(c_Set_Oinsert(V_X,V_G,tc_Message_Omsg))),tc_nat) ) ). % 1.79/1.78 % 1.79/1.78 cnf(cls_Crypt__imp__invKey__keysFor_0,axiom, % 1.79/1.78 ( c_in(hAPP(c_Message_OinvKey,V_K),c_Message_OkeysFor(V_H),tc_nat) % 1.79/1.78 | ~ c_in(c_Message_Omsg_OCrypt(V_K,V_X),V_H,tc_Message_Omsg) ) ). % 1.79/1.78 % 1.79/1.78 cnf(cls_analz__image__freshK__lemma_1,axiom, % 1.79/1.78 ( 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) % 1.79/1.78 | ~ c_in(hAPP(c_Message_Omsg_OKey,V_K),c_Message_Oanalz(V_H),tc_Message_Omsg) % 1.79/1.78 | 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) ) ). % 1.79/1.78 % 1.79/1.78 cnf(cls_analz__image__freshK__lemma_5,axiom, % 1.79/1.78 ( 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) % 1.79/1.78 | ~ c_in(hAPP(c_Message_Omsg_OKey,V_K),c_Message_Oanalz(V_H),tc_Message_Omsg) % 1.79/1.78 | ~ c_in(hAPP(c_Message_Omsg_OKey,V_K),c_Message_Oanalz(V_H),tc_Message_Omsg) ) ). % 1.79/1.78 % 1.79/1.78 cnf(cls_parts__knows__Spy__subset__used_0,axiom, % 1.79/1.78 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)) ). % 1.79/1.78 % 1.79/1.78 cnf(cls_knows__Gets_0,axiom, % 1.79/1.78 ( 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) % 1.79/1.78 | V_A = c_Message_Oagent_OSpy ) ). % 1.79/1.78 % 1.79/1.78 cnf(cls_knows__Spy__subset__knows__Spy__Says_0,axiom, % 1.79/1.78 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)) ). % 1.79/1.78 % 1.79/1.78 cnf(cls_analz__image__freshK_1,axiom, % 1.79/1.78 ( 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) % 1.79/1.78 | ~ c_in(V_K,V_KK,tc_nat) % 1.79/1.78 | ~ 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)) % 1.79/1.78 | ~ c_in(V_evs,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent)) ) ). % 1.79/1.78 % 1.79/1.78 cnf(cls_analz__image__freshK_0,axiom, % 1.79/1.78 ( c_in(hAPP(c_Message_Omsg_OKey,V_K),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,V_evs)),tc_Message_Omsg) % 1.79/1.78 | c_in(V_K,V_KK,tc_nat) % 1.79/1.78 | ~ 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) % 1.79/1.78 | ~ 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)) % 1.79/1.78 | ~ c_in(V_evs,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent)) ) ). % 1.79/1.78 % 1.79/1.78 cnf(cls_knows__Spy__subset__knows__Spy__Notes_0,axiom, % 1.79/1.78 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)) ). % 1.79/1.78 % 1.79/1.78 cnf(cls_knows__imp__Says__Gets__Notes__initState_0,axiom, % 1.79/1.78 ( c_in(V_X,c_Event_OinitState(V_A),tc_Message_Omsg) % 1.79/1.78 | c_in(c_Event_Oevent_ONotes(V_A,V_X),c_List_Oset(V_evs,tc_Event_Oevent),tc_Event_Oevent) % 1.79/1.78 | c_in(c_Event_Oevent_OGets(V_A,V_X),c_List_Oset(V_evs,tc_Event_Oevent),tc_Event_Oevent) % 1.79/1.78 | 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) % 1.79/1.78 | V_A = c_Message_Oagent_OSpy % 1.79/1.78 | ~ c_in(V_X,c_Event_Oknows(V_A,V_evs),tc_Message_Omsg) ) ). % 1.79/1.78 % 1.79/1.78 cnf(cls_knows__Spy__imp__Says__Notes__initState_0,axiom, % 1.79/1.78 ( c_in(V_X,c_Event_OinitState(c_Message_Oagent_OSpy),tc_Message_Omsg) % 1.79/1.78 | 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) % 1.79/1.78 | 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) % 1.79/1.78 | ~ c_in(V_X,c_Event_Oknows(c_Message_Oagent_OSpy,V_evs),tc_Message_Omsg) ) ). % 1.79/1.78 % 1.79/1.78 cnf(cls_publicKey__notin__image__privateKey_0,axiom, % 1.79/1.78 ~ 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) ). % 1.79/1.78 % 1.79/1.78 cnf(cls_privateKey__image__eq_0,axiom, % 1.79/1.78 ( V_b = V_c % 1.79/1.78 | ~ 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) ) ). % 1.79/1.78 % 1.79/1.78 cnf(cls_Issues__def_0,axiom, % 1.79/1.78 ( 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) % 1.79/1.78 | ~ c_NS__Shared__Mirabelle_OIssues(V_A,V_B,V_X,V_evs) ) ). % 1.79/1.78 % 1.79/1.78 cnf(cls_new__keys__not__used_0,axiom, % 1.79/1.78 ( ~ c_in(V_K,c_Message_OkeysFor(c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,V_evs))),tc_nat) % 1.79/1.78 | ~ c_in(V_evs,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent)) % 1.79/1.78 | ~ c_in(V_K,c_Message_OsymKeys,tc_nat) % 1.79/1.78 | c_in(hAPP(c_Message_Omsg_OKey,V_K),c_Event_Oused(V_evs),tc_Message_Omsg) ) ). % 1.79/1.78 % 1.79/1.78 cnf(cls_parts__spies__evs__revD2_0,axiom, % 1.79/1.78 c_lessequals(c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,c_List_Orev(V_evs,tc_Event_Oevent))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,V_evs)),tc_fun(tc_Message_Omsg,tc_bool)) ). % 1.79/1.78 % 1.79/1.78 cnf(cls_Fake__parts__insert__in__Un_0,axiom, % 1.79/1.78 ( 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) % 1.79/1.78 | ~ c_in(V_X,c_Message_Osynth(c_Message_Oanalz(V_H)),tc_Message_Omsg) % 1.79/1.78 | ~ c_in(V_Z,c_Message_Oparts(c_Set_Oinsert(V_X,V_H,tc_Message_Omsg)),tc_Message_Omsg) ) ). % 1.79/1.78 % 1.79/1.78 cnf(cls_analz__Decrypt_H_0,axiom, % 1.79/1.78 ( c_in(V_X,c_Message_Oanalz(V_H),tc_Message_Omsg) % 1.79/1.78 | ~ c_in(hAPP(c_Message_Omsg_OKey,V_K),c_Message_Oanalz(V_H),tc_Message_Omsg) % 1.79/1.78 | ~ c_in(V_K,c_Message_OsymKeys,tc_nat) % 1.79/1.78 | ~ c_in(c_Message_Omsg_OCrypt(V_K,V_X),c_Message_Oanalz(V_H),tc_Message_Omsg) ) ). % 1.79/1.78 % 1.79/1.78 cnf(cls_synth__analz__insert__eq_1,axiom, % 1.79/1.78 ( 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) % 1.79/1.78 | ~ c_in(hAPP(c_Message_Omsg_OKey,V_K),c_Message_Oanalz(V_G),tc_Message_Omsg) % 1.79/1.78 | ~ c_lessequals(V_H,V_G,tc_fun(tc_Message_Omsg,tc_bool)) % 1.79/1.78 | ~ c_in(V_X,c_Message_Osynth(c_Message_Oanalz(V_H)),tc_Message_Omsg) ) ). % 1.79/1.78 % 1.79/1.78 cnf(cls_synth__analz__insert__eq_0,axiom, % 1.79/1.78 ( c_in(hAPP(c_Message_Omsg_OKey,V_K),c_Message_Oanalz(V_G),tc_Message_Omsg) % 1.79/1.78 | ~ 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) % 1.79/1.78 | ~ c_lessequals(V_H,V_G,tc_fun(tc_Message_Omsg,tc_bool)) % 1.79/1.78 | ~ c_in(V_X,c_Message_Osynth(c_Message_Oanalz(V_H)),tc_Message_Omsg) ) ). % 1.79/1.78 % 1.79/1.78 cnf(cls_analz__image__freshK__lemma_2,axiom, % 1.79/1.78 ( 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) % 1.79/1.78 | ~ c_in(V_K,V_nE,tc_nat) % 1.79/1.78 | ~ c_in(V_K,V_nE,tc_nat) ) ). % 1.79/1.78 % 1.79/1.78 cnf(cls_analz__image__freshK__lemma_0,axiom, % 1.79/1.78 ( 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) % 1.79/1.78 | ~ c_in(V_K,V_nE,tc_nat) % 1.79/1.78 | 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) ) ). % 1.79/1.78 % 1.79/1.78 cnf(cls_analz__image__freshK__lemma_4,axiom, % 1.79/1.78 ( 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) % 1.79/1.78 | ~ c_in(V_K,V_nE,tc_nat) % 1.79/1.78 | ~ c_in(hAPP(c_Message_Omsg_OKey,V_K),c_Message_Oanalz(V_H),tc_Message_Omsg) ) ). % 1.79/1.78 % 1.79/1.78 cnf(cls_analz__image__freshK__lemma_3,axiom, % 1.79/1.78 ( 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) % 1.79/1.78 | ~ c_in(hAPP(c_Message_Omsg_OKey,V_K),c_Message_Oanalz(V_H),tc_Message_Omsg) % 1.79/1.78 | ~ c_in(V_K,V_nE,tc_nat) ) ). % 1.79/1.78 % 1.79/1.78 cnf(cls_analz__mono__contra_I3_J_0,axiom, % 1.79/1.78 ( ~ c_in(V_c,c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,V_evs)),tc_Message_Omsg) % 1.79/1.78 | 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) ) ). % 1.79/1.78 % 1.79/1.78 cnf(cls_Gets__imp__knows__agents_0,axiom, % 1.79/1.78 ( c_in(V_X,c_Event_Oknows(V_A,V_evs),tc_Message_Omsg) % 1.79/1.78 | ~ c_in(c_Event_Oevent_OGets(V_A,V_X),c_List_Oset(V_evs,tc_Event_Oevent),tc_Event_Oevent) % 1.79/1.78 | V_A = c_Message_Oagent_OSpy ) ). % 1.79/1.78 % 1.79/1.78 cnf(cls_shrK__notin__image__privateKey_0,axiom, % 1.79/1.78 ~ 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) ). % 1.79/1.78 % 1.79/1.78 cnf(cls_privateKey__image__eq_2,axiom, % 1.79/1.78 ( 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) % 1.79/1.78 | ~ c_in(V_A,V_AS,tc_Message_Oagent) ) ). % 1.79/1.78 % 1.79/1.78 cnf(cls_privateKey__image__eq_1,axiom, % 1.79/1.78 ( c_in(V_A,V_AS,tc_Message_Oagent) % 1.79/1.78 | ~ 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) ) ). % 1.79/1.78 % 1.79/1.78 cnf(cls_ns__sharedp_ONS5_0,axiom, % 1.79/1.78 ( 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)) % 1.79/1.78 | ~ 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) % 1.79/1.78 | ~ 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) % 1.79/1.78 | ~ c_in(V_K,c_Message_OsymKeys,tc_nat) % 1.79/1.78 | ~ c_NS__Shared__Mirabelle_Ons__sharedp(V_evs5) ) ). % 1.79/1.78 % 1.79/1.78 cnf(cls_lemma1_0,axiom, % 1.79/1.78 ( 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)) % 1.79/1.78 | ~ c_in(hAPP(c_Message_Omsg_OKey,hAPP(c_Message_OinvKey,V_K)),c_Message_Oanalz(V_H),tc_Message_Omsg) ) ). % 1.79/1.78 % 1.79/1.78 cnf(cls_lemma2_0,axiom, % 1.79/1.78 ( 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)) % 1.79/1.78 | ~ c_in(hAPP(c_Message_Omsg_OKey,hAPP(c_Message_OinvKey,V_K)),c_Message_Oanalz(V_H),tc_Message_Omsg) ) ). % 1.79/1.78 % 1.79/1.78 cnf(cls_spies__Says__rev_0,axiom, % 1.79/1.78 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) ). % 1.79/1.78 % 1.79/1.78 cnf(cls_ns__sharedp_ONS4_0,axiom, % 1.79/1.78 ( 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)) % 1.79/1.78 | ~ 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) % 1.79/1.78 | ~ c_in(V_K,c_Message_OsymKeys,tc_nat) % 1.79/1.78 | c_in(c_Message_Omsg_ONonce(V_NB),c_Event_Oused(V_evs4),tc_Message_Omsg) % 1.79/1.78 | ~ c_NS__Shared__Mirabelle_Ons__sharedp(V_evs4) ) ). % 1.79/1.78 % 1.79/1.78 cnf(cls_ns__sharedp_OFake_0,axiom, % 1.79/1.78 ( 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)) % 1.79/1.78 | ~ c_in(V_X,c_Message_Osynth(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,V_evsf))),tc_Message_Omsg) % 1.79/1.78 | ~ c_NS__Shared__Mirabelle_Ons__sharedp(V_evsf) ) ). % 1.79/1.78 % 1.79/1.78 cnf(cls_ns__sharedp_ONS2_0,axiom, % 1.79/1.78 ( 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)) % 1.79/1.78 | ~ 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) % 1.79/1.78 | ~ c_in(V_KAB,c_Message_OsymKeys,tc_nat) % 1.79/1.78 | c_in(hAPP(c_Message_Omsg_OKey,V_KAB),c_Event_Oused(V_evs2),tc_Message_Omsg) % 1.79/1.78 | ~ c_NS__Shared__Mirabelle_Ons__sharedp(V_evs2) ) ). % 1.79/1.78 % 1.79/1.78 cnf(cls_spies__Notes__rev_1,axiom, % 1.79/1.78 ( 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) % 1.79/1.78 | c_in(V_A,c_Event_Obad,tc_Message_Oagent) ) ). % 1.79/1.78 % 1.79/1.78 cnf(cls_ns__sharedp_ONS1_0,axiom, % 1.79/1.78 ( 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)) % 1.79/1.78 | c_in(c_Message_Omsg_ONonce(V_NA),c_Event_Oused(V_evs1),tc_Message_Omsg) % 1.79/1.78 | ~ c_NS__Shared__Mirabelle_Ons__sharedp(V_evs1) ) ). % 1.79/1.78 % 1.79/1.78 cnf(cls_spies__Notes__rev_0,axiom, % 1.79/1.78 ( 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) % 1.79/1.78 | ~ c_in(V_A,c_Event_Obad,tc_Message_Oagent) ) ). % 1.79/1.78 % 1.79/1.78 cnf(cls_ns__sharedp_ONS3_0,axiom, % 1.79/1.78 ( 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)) % 1.79/1.78 | ~ 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) % 1.79/1.78 | ~ 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) % 1.79/1.78 | V_A = c_Message_Oagent_OServer % 1.79/1.78 | ~ c_NS__Shared__Mirabelle_Ons__sharedp(V_evs3) ) ). % 1.79/1.78 % 1.79/1.78 cnf(cls_ns__sharedp_OOops_0,axiom, % 1.79/1.78 ( 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)) % 1.79/1.78 | ~ 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) % 1.79/1.78 | ~ 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) % 1.79/1.78 | ~ c_NS__Shared__Mirabelle_Ons__sharedp(V_evso) ) ). % 1.79/1.78 % 1.79/1.78 cnf(cls_ns__shared_ONS5_0,axiom, % 1.79/1.78 ( 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)) % 1.79/1.78 | ~ 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) % 1.79/1.78 | ~ 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) % 1.79/1.78 | ~ c_in(V_K,c_Message_OsymKeys,tc_nat) % 1.79/1.78 | ~ c_in(V_evs5,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent)) ) ). % 1.79/1.78 % 1.79/1.78 cnf(cls_ns__shared_ONS4_0,axiom, % 1.79/1.78 ( 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)) % 1.79/1.78 | ~ 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) % 1.79/1.78 | ~ c_in(V_K,c_Message_OsymKeys,tc_nat) % 1.79/1.78 | c_in(c_Message_Omsg_ONonce(V_NB),c_Event_Oused(V_evs4),tc_Message_Omsg) % 1.79/1.78 | ~ c_in(V_evs4,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent)) ) ). % 1.79/1.78 % 1.79/1.78 cnf(cls_ns__shared_ONS2_0,axiom, % 1.79/1.78 ( 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)) % 1.79/1.78 | ~ 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) % 1.79/1.78 | ~ c_in(V_KAB,c_Message_OsymKeys,tc_nat) % 1.79/1.78 | c_in(hAPP(c_Message_Omsg_OKey,V_KAB),c_Event_Oused(V_evs2),tc_Message_Omsg) % 1.79/1.79 | ~ c_in(V_evs2,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent)) ) ). % 1.79/1.79 % 1.79/1.79 cnf(cls_Says__imp__parts__knows__Spy_0,axiom, % 1.79/1.79 ( c_in(V_X,c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,V_evs)),tc_Message_Omsg) % 1.79/1.79 | ~ c_in(c_Event_Oevent_OSays(V_A,V_B,V_X),c_List_Oset(V_evs,tc_Event_Oevent),tc_Event_Oevent) ) ). % 1.79/1.79 % 1.79/1.79 cnf(cls_Says__imp__analz__Spy_0,axiom, % 1.79/1.79 ( c_in(V_X,c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,V_evs)),tc_Message_Omsg) % 1.79/1.79 | ~ c_in(c_Event_Oevent_OSays(V_A,V_B,V_X),c_List_Oset(V_evs,tc_Event_Oevent),tc_Event_Oevent) ) ). % 1.79/1.79 % 1.79/1.79 cnf(cls_knows__Spy__Notes_0,axiom, % 1.79/1.79 ( 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) % 1.79/1.79 | ~ c_in(V_A,c_Event_Obad,tc_Message_Oagent) ) ). % 1.79/1.79 % 1.79/1.79 cnf(cls_ns__shared_ONS1_0,axiom, % 1.79/1.79 ( 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)) % 1.79/1.79 | c_in(c_Message_Omsg_ONonce(V_NA),c_Event_Oused(V_evs1),tc_Message_Omsg) % 1.79/1.79 | ~ c_in(V_evs1,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent)) ) ). % 1.79/1.79 % 1.79/1.79 cnf(cls_ns__shared_OOops_0,axiom, % 1.79/1.79 ( 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)) % 1.79/1.79 | ~ 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) % 1.79/1.79 | ~ 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) % 1.79/1.79 | ~ c_in(V_evso,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent)) ) ). % 1.79/1.79 % 1.79/1.79 cnf(cls_ns__shared_ONS3_0,axiom, % 1.79/1.79 ( 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)) % 1.79/1.79 | ~ 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) % 1.79/1.79 | ~ 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) % 1.79/1.79 | V_A = c_Message_Oagent_OServer % 1.79/1.79 | ~ c_in(V_evs3,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent)) ) ). % 1.79/1.79 % 1.79/1.79 cnf(cls_Oops__parts__spies_0,axiom, % 1.79/1.79 ( c_in(V_K,c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,V_evs)),tc_Message_Omsg) % 1.79/1.79 | ~ 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) ) ). % 1.79/1.79 % 1.79/1.79 cnf(cls_Notes__imp__knows__Spy_0,axiom, % 1.79/1.79 ( c_in(V_X,c_Event_Oknows(c_Message_Oagent_OSpy,V_evs),tc_Message_Omsg) % 1.79/1.79 | ~ c_in(V_A,c_Event_Obad,tc_Message_Oagent) % 1.79/1.79 | ~ c_in(c_Event_Oevent_ONotes(V_A,V_X),c_List_Oset(V_evs,tc_Event_Oevent),tc_Event_Oevent) ) ). % 1.79/1.79 % 1.79/1.79 cnf(cls_Says__Server__message__form_2,axiom, % 1.79/1.79 ( V_K_H = hAPP(c_Public_OshrK,V_A) % 1.79/1.79 | ~ c_in(V_evs,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent)) % 1.79/1.79 | ~ 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) ) ). % 1.79/1.79 % 1.79/1.79 cnf(cls_unique__session__keys_0,axiom, % 1.79/1.79 ( V_A = V_A_H % 1.79/1.79 | ~ c_in(V_evs,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent)) % 1.79/1.79 | ~ 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) % 1.79/1.79 | ~ 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) ) ). % 1.79/1.79 % 1.79/1.79 cnf(cls_unique__session__keys_1,axiom, % 1.79/1.79 ( V_NA = V_NA_H % 1.79/1.79 | ~ c_in(V_evs,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent)) % 1.79/1.79 | ~ 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) % 1.79/1.79 | ~ 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) ) ). % 1.79/1.79 % 1.79/1.79 cnf(cls_unique__session__keys_2,axiom, % 1.79/1.79 ( V_B = V_B_H % 1.79/1.79 | ~ c_in(V_evs,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent)) % 1.79/1.79 | ~ 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) % 1.79/1.79 | ~ 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) ) ). % 1.79/1.79 % 1.79/1.79 cnf(cls_unique__session__keys_3,axiom, % 1.79/1.79 ( V_X = V_X_H % 1.79/1.79 | ~ c_in(V_evs,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent)) % 1.79/1.79 | ~ 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) % 1.79/1.79 | ~ 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) ) ). % 1.79/1.79 % 1.79/1.79 cnf(cls_Says__Server__message__form_1,axiom, % 1.79/1.79 ( 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))) % 1.79/1.79 | ~ c_in(V_evs,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent)) % 1.79/1.79 | ~ 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) ) ). % 1.79/1.79 % 1.79/1.79 cnf(cls_MPair__used_1,axiom, % 1.79/1.79 ( c_in(V_Y,c_Event_Oused(V_H),tc_Message_Omsg) % 1.79/1.79 | ~ c_in(c_Message_Omsg_OMPair(V_X,V_Y),c_Event_Oused(V_H),tc_Message_Omsg) ) ). % 1.79/1.79 % 1.79/1.79 cnf(cls_MPair__used_0,axiom, % 1.79/1.79 ( c_in(V_X,c_Event_Oused(V_H),tc_Message_Omsg) % 1.79/1.79 | ~ c_in(c_Message_Omsg_OMPair(V_X,V_Y),c_Event_Oused(V_H),tc_Message_Omsg) ) ). % 1.79/1.79 % 1.79/1.79 cnf(cls_synth_OMPair_0,axiom, % 1.79/1.79 ( c_in(c_Message_Omsg_OMPair(V_X,V_Y),c_Message_Osynth(V_H),tc_Message_Omsg) % 1.79/1.79 | ~ c_in(V_Y,c_Message_Osynth(V_H),tc_Message_Omsg) % 1.79/1.79 | ~ c_in(V_X,c_Message_Osynth(V_H),tc_Message_Omsg) ) ). % 1.79/1.79 % 1.79/1.79 cnf(cls_MPair__synth_1,axiom, % 1.79/1.79 ( c_in(V_Y,c_Message_Osynth(V_H),tc_Message_Omsg) % 1.79/1.79 | c_in(c_Message_Omsg_OMPair(V_X,V_Y),V_H,tc_Message_Omsg) % 1.79/1.79 | ~ c_in(c_Message_Omsg_OMPair(V_X,V_Y),c_Message_Osynth(V_H),tc_Message_Omsg) ) ). % 1.79/1.79 % 1.79/1.79 cnf(cls_MPair__synth_0,axiom, % 1.79/1.79 ( c_in(V_X,c_Message_Osynth(V_H),tc_Message_Omsg) % 1.79/1.79 | c_in(c_Message_Omsg_OMPair(V_X,V_Y),V_H,tc_Message_Omsg) % 1.79/1.79 | ~ c_in(c_Message_Omsg_OMPair(V_X,V_Y),c_Message_Osynth(V_H),tc_Message_Omsg) ) ). % 1.79/1.79 % 1.79/1.79 cnf(cls_parts__insertI_0,axiom, % 1.79/1.79 ( c_in(V_c,c_Message_Oparts(c_Set_Oinsert(V_a,V_G,tc_Message_Omsg)),tc_Message_Omsg) % 1.79/1.79 | ~ c_in(V_c,c_Message_Oparts(V_G),tc_Message_Omsg) ) ). % 1.79/1.79 % 1.79/1.79 cnf(cls_parts__cut__eq_0,axiom, % 1.79/1.79 ( c_Message_Oparts(c_Set_Oinsert(V_X,V_H,tc_Message_Omsg)) = c_Message_Oparts(V_H) % 1.79/1.79 | ~ c_in(V_X,c_Message_Oparts(V_H),tc_Message_Omsg) ) ). % 1.79/1.79 % 1.79/1.79 cnf(cls_parts__insert__MPair_0,axiom, % 1.79/1.79 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) ). % 1.79/1.79 % 1.79/1.79 cnf(cls_Crypt__synth_0,axiom, % 1.79/1.79 ( c_in(V_X,c_Message_Osynth(V_H),tc_Message_Omsg) % 1.79/1.79 | c_in(c_Message_Omsg_OCrypt(V_K,V_X),V_H,tc_Message_Omsg) % 1.79/1.79 | ~ c_in(c_Message_Omsg_OCrypt(V_K,V_X),c_Message_Osynth(V_H),tc_Message_Omsg) ) ). % 1.79/1.79 % 1.79/1.79 cnf(cls_pushes_I12_J_0,axiom, % 1.79/1.79 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) ). % 1.79/1.79 % 1.79/1.79 cnf(cls_Key__synth__eq_1,axiom, % 1.79/1.79 ( c_in(hAPP(c_Message_Omsg_OKey,V_K),c_Message_Osynth(V_H),tc_Message_Omsg) % 1.79/1.79 | ~ c_in(hAPP(c_Message_Omsg_OKey,V_K),V_H,tc_Message_Omsg) ) ). % 1.79/1.79 % 1.79/1.79 cnf(cls_Key__synth_0,axiom, % 1.79/1.79 ( c_in(hAPP(c_Message_Omsg_OKey,V_K),V_H,tc_Message_Omsg) % 1.79/1.79 | ~ c_in(hAPP(c_Message_Omsg_OKey,V_K),c_Message_Osynth(V_H),tc_Message_Omsg) ) ). % 1.79/1.79 % 1.79/1.79 cnf(cls_analz__cut_0,axiom, % 1.79/1.79 ( c_in(V_Y,c_Message_Oanalz(V_H),tc_Message_Omsg) % 1.79/1.79 | ~ c_in(V_X,c_Message_Oanalz(V_H),tc_Message_Omsg) % 1.79/1.79 | ~ c_in(V_Y,c_Message_Oanalz(c_Set_Oinsert(V_X,V_H,tc_Message_Omsg)),tc_Message_Omsg) ) ). % 1.79/1.79 % 1.79/1.79 cnf(cls_analz__insert__eq_0,axiom, % 1.79/1.79 ( c_Message_Oanalz(c_Set_Oinsert(V_X,V_H,tc_Message_Omsg)) = c_Message_Oanalz(V_H) % 1.79/1.79 | ~ c_in(V_X,c_Message_Oanalz(V_H),tc_Message_Omsg) ) ). % 1.79/1.79 % 1.79/1.79 cnf(cls_analz__insertI_0,axiom, % 1.79/1.79 ( c_in(V_c,c_Message_Oanalz(c_Set_Oinsert(V_a,V_G,tc_Message_Omsg)),tc_Message_Omsg) % 1.79/1.79 | ~ c_in(V_c,c_Message_Oanalz(V_G),tc_Message_Omsg) ) ). % 1.79/1.79 % 1.79/1.79 cnf(cls_pushes_I5_J_0,axiom, % 1.79/1.79 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) ). % 1.79/1.79 % 1.79/1.79 cnf(cls_parts__insert__Crypt_0,axiom, % 1.79/1.79 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) ). % 1.79/1.79 % 1.79/1.79 cnf(cls_analz__insert__MPair_0,axiom, % 1.79/1.79 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) ). % 1.79/1.79 % 1.79/1.79 cnf(cls_analz__Crypt__if_0,axiom, % 1.79/1.79 ( 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) % 1.79/1.79 | ~ c_in(hAPP(c_Message_Omsg_OKey,hAPP(c_Message_OinvKey,V_K)),c_Message_Oanalz(V_H),tc_Message_Omsg) ) ). % 1.79/1.79 % 1.79/1.79 cnf(cls_analz__Crypt__if_1,axiom, % 1.79/1.79 ( 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) % 1.79/1.79 | c_in(hAPP(c_Message_Omsg_OKey,hAPP(c_Message_OinvKey,V_K)),c_Message_Oanalz(V_H),tc_Message_Omsg) ) ). % 1.79/1.79 % 1.79/1.79 cnf(cls_Crypt__synth__analz_1,axiom, % 1.79/1.79 ( c_in(c_Message_Omsg_OCrypt(V_K,V_X),c_Message_Osynth(c_Message_Oanalz(V_H)),tc_Message_Omsg) % 1.79/1.79 | ~ c_in(V_X,c_Message_Osynth(c_Message_Oanalz(V_H)),tc_Message_Omsg) % 1.79/1.79 | ~ c_in(hAPP(c_Message_Omsg_OKey,hAPP(c_Message_OinvKey,V_K)),c_Message_Oanalz(V_H),tc_Message_Omsg) % 1.79/1.79 | ~ c_in(hAPP(c_Message_Omsg_OKey,V_K),c_Message_Oanalz(V_H),tc_Message_Omsg) ) ). % 1.79/1.79 % 1.79/1.79 cnf(cls_Crypt__synth__analz_0,axiom, % 1.79/1.79 ( c_in(V_X,c_Message_Osynth(c_Message_Oanalz(V_H)),tc_Message_Omsg) % 1.79/1.79 | ~ c_in(c_Message_Omsg_OCrypt(V_K,V_X),c_Message_Osynth(c_Message_Oanalz(V_H)),tc_Message_Omsg) % 1.79/1.79 | ~ c_in(hAPP(c_Message_Omsg_OKey,hAPP(c_Message_OinvKey,V_K)),c_Message_Oanalz(V_H),tc_Message_Omsg) % 1.79/1.79 | ~ c_in(hAPP(c_Message_Omsg_OKey,V_K),c_Message_Oanalz(V_H),tc_Message_Omsg) ) ). % 1.79/1.79 % 1.79/1.79 cnf(cls_parts__insert__Key_0,axiom, % 1.79/1.79 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) ). % 1.79/1.79 % 1.79/1.79 cnf(cls_parts__image__Key_0,axiom, % 1.79/1.79 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) ). % 1.79/1.79 % 1.79/1.79 cnf(cls_synth_OAgent_0,axiom, % 1.79/1.79 c_in(c_Message_Omsg_OAgent(V_agt),c_Message_Osynth(V_H),tc_Message_Omsg) ). % 1.79/1.79 % 1.79/1.79 cnf(cls_Agent__synth_0,axiom, % 1.79/1.79 c_in(c_Message_Omsg_OAgent(V_A),c_Message_Osynth(V_H),tc_Message_Omsg) ). % 1.79/1.79 % 1.79/1.79 cnf(cls_NS3__msg__in__parts__spies_0,axiom, % 1.79/1.79 ( c_in(V_X,c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,V_evs)),tc_Message_Omsg) % 1.79/1.79 | ~ 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) ) ). % 1.79/1.79 % 1.79/1.79 cnf(cls_pushes_I6_J_0,axiom, % 1.79/1.79 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) ). % 1.79/1.79 % 1.79/1.79 cnf(cls_Nonce__synth__eq_1,axiom, % 1.79/1.79 ( c_in(c_Message_Omsg_ONonce(V_N),c_Message_Osynth(V_H),tc_Message_Omsg) % 1.79/1.79 | ~ c_in(c_Message_Omsg_ONonce(V_N),V_H,tc_Message_Omsg) ) ). % 1.79/1.79 % 1.79/1.79 cnf(cls_Nonce__synth__eq_0,axiom, % 1.79/1.79 ( c_in(c_Message_Omsg_ONonce(V_N),V_H,tc_Message_Omsg) % 1.79/1.79 | ~ c_in(c_Message_Omsg_ONonce(V_N),c_Message_Osynth(V_H),tc_Message_Omsg) ) ). % 1.79/1.79 % 1.79/1.79 cnf(cls_Nonce__synth_0,axiom, % 1.79/1.79 ( c_in(c_Message_Omsg_ONonce(V_n),V_H,tc_Message_Omsg) % 1.79/1.79 | ~ c_in(c_Message_Omsg_ONonce(V_n),c_Message_Osynth(V_H),tc_Message_Omsg) ) ). % 1.79/1.79 % 1.79/1.79 cnf(cls_analz__image__Key_0,axiom, % 1.79/1.79 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) ). % 1.79/1.79 % 1.79/1.79 cnf(cls_parts__insert__Agent_0,axiom, % 1.79/1.79 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) ). % 1.79/1.79 % 1.79/1.79 cnf(cls_analz__mono__contra_I2_J_0,axiom, % 1.79/1.79 ( ~ c_in(V_c,c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,V_evs)),tc_Message_Omsg) % 1.79/1.79 | 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) ) ). % 1.79/1.79 % 1.79/1.79 cnf(cls_analz__mono__contra_I1_J_0,axiom, % 1.79/1.79 ( ~ c_in(V_c,c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,V_evs)),tc_Message_Omsg) % 1.79/1.79 | 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) ) ). % 1.79/1.79 % 1.79/1.79 cnf(cls_pushes_I8_J_0,axiom, % 1.79/1.79 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) ). % 1.79/1.79 % 1.79/1.79 cnf(cls_parts__insert__Nonce_0,axiom, % 1.79/1.79 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) ). % 1.79/1.79 % 1.79/1.79 cnf(cls_pushes_I9_J_0,axiom, % 1.79/1.79 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) ). % 1.79/1.79 % 1.79/1.79 cnf(cls_pushes_I1_J_0,axiom, % 1.79/1.79 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) ). % 1.79/1.79 % 1.79/1.79 cnf(cls_analz__insert__Agent_0,axiom, % 1.79/1.79 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) ). % 1.79/1.79 % 1.79/1.79 cnf(cls_pushes_I2_J_0,axiom, % 1.79/1.79 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) ). % 1.79/1.79 % 1.79/1.79 cnf(cls_shrK__image__eq_0,axiom, % 1.79/1.79 ( c_in(V_x,V_AA,tc_Message_Oagent) % 1.79/1.79 | ~ c_in(hAPP(c_Public_OshrK,V_x),c_Set_Oimage(c_Public_OshrK,V_AA,tc_Message_Oagent,tc_nat),tc_nat) ) ). % 1.79/1.79 % 1.79/1.79 cnf(cls_shrK__image__eq_1,axiom, % 1.79/1.79 ( c_in(hAPP(c_Public_OshrK,V_x),c_Set_Oimage(c_Public_OshrK,V_AA,tc_Message_Oagent,tc_nat),tc_nat) % 1.79/1.79 | ~ c_in(V_x,V_AA,tc_Message_Oagent) ) ). % 1.79/1.79 % 1.79/1.79 cnf(cls_invKey__shrK_0,axiom, % 1.79/1.79 hAPP(c_Message_OinvKey,hAPP(c_Public_OshrK,V_A)) = hAPP(c_Public_OshrK,V_A) ). % 1.79/1.79 % 1.79/1.79 cnf(cls_shrK__neq__pubK_0,axiom, % 1.79/1.79 hAPP(c_Public_OpublicKey(V_b),V_C) != hAPP(c_Public_OshrK,V_A) ). % 1.79/1.79 % 1.79/1.79 cnf(cls_pubK__neq__shrK_0,axiom, % 1.79/1.79 hAPP(c_Public_OshrK,V_A) != hAPP(c_Public_OpublicKey(V_b),V_C) ). % 1.79/1.79 % 1.79/1.79 cnf(cls_Says__Server__message__form_0,axiom, % 1.79/1.79 ( ~ 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) % 1.79/1.79 | ~ c_in(V_evs,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent)) % 1.79/1.79 | ~ 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) ) ). % 1.79/1.79 % 1.79/1.79 cnf(cls_agent_Osimps_I5_J_0,axiom, % 1.79/1.79 c_Message_Oagent_OSpy != c_Message_Oagent_OServer ). % 1.79/1.79 % 1.79/1.79 cnf(cls_agent_Osimps_I4_J_0,axiom, % 1.79/1.79 c_Message_Oagent_OServer != c_Message_Oagent_OSpy ). % 1.79/1.79 % 1.79/1.79 cnf(cls_Says__imp__spies_0,axiom, % 1.79/1.79 ( c_in(V_X,c_Event_Oknows(c_Message_Oagent_OSpy,V_evs),tc_Message_Omsg) % 1.79/1.79 | ~ c_in(c_Event_Oevent_OSays(V_A,V_B,V_X),c_List_Oset(V_evs,tc_Event_Oevent),tc_Event_Oevent) ) ). % 1.79/1.79 % 1.79/1.79 cnf(cls_analz__insert__cong_0,axiom, % 1.79/1.79 ( c_Message_Oanalz(V_H) != c_Message_Oanalz(V_H_H) % 1.79/1.79 | 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)) ) ). % 1.79/1.79 % 1.79/1.79 cnf(cls_Nonce__notin__used__empty_0,axiom, % 1.79/1.79 ~ c_in(c_Message_Omsg_ONonce(V_N),c_Event_Oused(c_List_Olist_ONil(tc_Event_Oevent)),tc_Message_Omsg) ). % 1.79/1.79 % 1.79/1.79 cnf(cls_Fake__analz__eq_0,axiom, % 1.79/1.79 ( c_Message_Osynth(c_Message_Oanalz(c_Set_Oinsert(V_X,V_H,tc_Message_Omsg))) = c_Message_Osynth(c_Message_Oanalz(V_H)) % 1.79/1.79 | ~ c_in(V_X,c_Message_Osynth(c_Message_Oanalz(V_H)),tc_Message_Omsg) ) ). % 1.79/1.79 % 1.79/1.79 cnf(cls_publicKey__in__initState_0,axiom, % 1.79/1.79 c_in(hAPP(c_Message_Omsg_OKey,hAPP(c_Public_OpublicKey(V_b),V_A)),c_Event_OinitState(V_B),tc_Message_Omsg) ). % 1.79/1.79 % 1.79/1.79 cnf(cls_Key__image__eq_0,axiom, % 1.79/1.79 ( c_in(V_x,V_A,tc_nat) % 1.79/1.79 | ~ 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) ) ). % 1.79/1.79 % 1.79/1.79 cnf(cls_Key__image__eq_1,axiom, % 1.79/1.79 ( 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) % 1.79/1.79 | ~ c_in(V_x,V_A,tc_nat) ) ). % 1.79/1.79 % 1.79/1.79 cnf(cls_publicKey__into__used_0,axiom, % 1.79/1.79 c_in(hAPP(c_Message_Omsg_OKey,hAPP(c_Public_OpublicKey(V_b),V_A)),c_Event_Oused(V_evs),tc_Message_Omsg) ). % 1.79/1.79 % 1.79/1.79 cnf(cls_Crypt__notin__used__empty_0,axiom, % 1.79/1.79 ~ c_in(c_Message_Omsg_OCrypt(V_K,V_X),c_Event_Oused(c_List_Olist_ONil(tc_Event_Oevent)),tc_Message_Omsg) ). % 1.79/1.79 % 1.79/1.79 cnf(cls_initState__into__used_0,axiom, % 1.79/1.79 ( c_in(V_X,c_Event_Oused(V_evs),tc_Message_Omsg) % 1.79/1.79 | ~ c_in(V_X,c_Message_Oparts(c_Event_OinitState(V_B)),tc_Message_Omsg) ) ). % 1.79/1.79 % 1.79/1.79 cnf(cls_synth__synthD_0,axiom, % 1.79/1.79 ( c_in(V_X,c_Message_Osynth(V_H),tc_Message_Omsg) % 1.79/1.79 | ~ c_in(V_X,c_Message_Osynth(c_Message_Osynth(V_H)),tc_Message_Omsg) ) ). % 1.79/1.79 % 1.79/1.79 cnf(cls_synth_OInj_0,axiom, % 1.79/1.79 ( c_in(V_X,c_Message_Osynth(V_H),tc_Message_Omsg) % 1.79/1.79 | ~ c_in(V_X,V_H,tc_Message_Omsg) ) ). % 1.79/1.79 % 1.79/1.79 cnf(cls_imageI_0,axiom, % 1.79/1.79 ( c_in(hAPP(V_f,V_x),c_Set_Oimage(V_f,V_A,T_a,T_b),T_b) % 1.79/1.79 | ~ c_in(V_x,V_A,T_a) ) ). % 1.79/1.79 % 1.79/1.79 cnf(cls_image__eqI_0,axiom, % 1.79/1.79 ( c_in(hAPP(V_f,V_x),c_Set_Oimage(V_f,V_A,T_b,T_a),T_a) % 1.79/1.79 | ~ c_in(V_x,V_A,T_b) ) ). % 1.79/1.79 % 1.79/1.79 cnf(cls_image__iff_2,axiom, % 1.79/1.79 ( ~ c_in(V_x,V_A,T_b) % 1.79/1.79 | c_in(hAPP(V_f,V_x),c_Set_Oimage(V_f,V_A,T_b,T_a),T_a) ) ). % 1.79/1.79 % 1.79/1.79 cnf(cls_rev__image__eqI_0,axiom, % 1.79/1.79 ( ~ c_in(V_x,V_A,T_aa) % 1.79/1.79 | c_in(hAPP(V_f,V_x),c_Set_Oimage(V_f,V_A,T_aa,T_a),T_a) ) ). % 1.79/1.79 % 1.79/1.79 cnf(cls_insert__absorb_0,axiom, % 1.79/1.79 ( c_Set_Oinsert(V_a,V_A,T_a) = V_A % 1.79/1.79 | ~ c_in(V_a,V_A,T_a) ) ). % 1.79/1.79 % 1.79/1.79 cnf(cls_insert__ident_0,axiom, % 1.79/1.79 ( c_Set_Oinsert(V_x,V_A,T_a) != c_Set_Oinsert(V_x,V_B,T_a) % 1.79/1.79 | c_in(V_x,V_B,T_a) % 1.79/1.79 | c_in(V_x,V_A,T_a) % 1.79/1.79 | V_A = V_B ) ). % 1.79/1.79 % 1.79/1.79 cnf(cls_insertCI_1,axiom, % 1.79/1.79 c_in(V_x,c_Set_Oinsert(V_x,V_B,T_a),T_a) ). % 1.79/1.79 % 1.79/1.79 cnf(cls_insertI1_0,axiom, % 1.79/1.79 c_in(V_a,c_Set_Oinsert(V_a,V_B,T_a),T_a) ). % 1.79/1.79 % 1.79/1.79 cnf(cls_insert__iff_1,axiom, % 1.79/1.79 c_in(V_x,c_Set_Oinsert(V_x,V_A,T_a),T_a) ). % 1.79/1.79 % 1.79/1.79 cnf(cls_UNIV__I_0,axiom, % 1.79/1.79 c_in(V_x,c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_bool)),T_a) ). % 1.79/1.79 % 1.79/1.79 cnf(cls_insertE_0,axiom, % 1.79/1.79 ( c_in(V_a,V_A,T_a) % 1.79/1.79 | V_a = V_b % 1.79/1.79 | ~ c_in(V_a,c_Set_Oinsert(V_b,V_A,T_a),T_a) ) ). % 1.79/1.79 % 1.79/1.79 cnf(cls_insertCI_0,axiom, % 1.79/1.79 ( c_in(V_a,c_Set_Oinsert(V_b,V_B,T_a),T_a) % 1.79/1.79 | ~ c_in(V_a,V_B,T_a) ) ). % 1.79/1.79 % 1.79/1.79 cnf(cls_insert__iff_2,axiom, % 1.79/1.79 ( c_in(V_a,c_Set_Oinsert(V_b,V_A,T_a),T_a) % 1.79/1.79 | ~ c_in(V_a,V_A,T_a) ) ). % 1.79/1.79 % 1.79/1.79 cnf(cls_Key__not__used_0,axiom, % 1.79/1.79 ( ~ 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) % 1.79/1.79 | c_in(hAPP(c_Message_Omsg_OKey,V_K),c_Event_Oused(V_evs),tc_Message_Omsg) ) ). % 1.79/1.79 % 1.79/1.79 cnf(cls_privateKey__into__used_0,axiom, % 1.79/1.79 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) ). % 1.79/1.79 % 1.79/1.79 cnf(cls_shrK__notin__image__publicKey_0,axiom, % 1.79/1.79 ~ 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) ). % 1.79/1.79 % 1.79/1.79 cnf(cls_rev__is__Nil__conv_1,axiom, % 1.79/1.79 c_List_Orev(c_List_Olist_ONil(T_a),T_a) = c_List_Olist_ONil(T_a) ). % 1.79/1.79 % 1.79/1.79 cnf(cls_analz__image__freshK__simps_I56_J_0,axiom, % 1.79/1.79 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) ). % 1.79/1.79 % 1.79/1.79 cnf(cls_event_Osimps_I7_J_0,axiom, % 1.79/1.79 c_Event_Oevent_ONotes(V_agent_H,V_msg_H) != c_Event_Oevent_OSays(V_agent1,V_agent2,V_msg) ). % 1.79/1.79 % 1.79/1.79 cnf(cls_singleton__rev__conv_1,axiom, % 1.79/1.79 c_List_Olist_OCons(V_x,c_List_Olist_ONil(T_a),T_a) = c_List_Orev(c_List_Olist_OCons(V_x,c_List_Olist_ONil(T_a),T_a),T_a) ). % 1.79/1.79 % 1.79/1.79 cnf(cls_not__Cons__self_0,axiom, % 1.79/1.79 V_xs != c_List_Olist_OCons(V_x,V_xs,T_a) ). % 1.79/1.79 % 1.79/1.79 cnf(cls_not__Cons__self2_0,axiom, % 1.79/1.79 c_List_Olist_OCons(V_x,V_t,T_a) != V_t ). % 1.79/1.79 % 1.79/1.79 cnf(cls_rev__is__Nil__conv_0,axiom, % 1.79/1.79 ( c_List_Orev(V_xs,T_a) != c_List_Olist_ONil(T_a) % 1.79/1.79 | V_xs = c_List_Olist_ONil(T_a) ) ). % 1.79/1.79 % 1.79/1.79 cnf(cls_synth__idem_0,axiom, % 1.79/1.79 c_Message_Osynth(c_Message_Osynth(V_H)) = c_Message_Osynth(V_H) ). % 1.79/1.79 % 1.79/1.79 cnf(cls_list_Osimps_I3_J_0,axiom, % 1.79/1.79 c_List_Olist_OCons(V_a_H,V_list_H,T_a) != c_List_Olist_ONil(T_a) ). % 1.79/1.79 % 1.79/1.79 cnf(cls_neq__Nil__conv_1,axiom, % 1.79/1.79 c_List_Olist_OCons(V_x,V_xa,T_a) != c_List_Olist_ONil(T_a) ). % 1.79/1.79 % 1.79/1.79 cnf(cls_insert__image_0,axiom, % 1.79/1.79 ( 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) % 1.79/1.79 | ~ c_in(V_x,V_A,T_a) ) ). % 1.79/1.79 % 1.79/1.79 cnf(cls_insert__code_2,axiom, % 1.79/1.79 ( hBOOL(hAPP(c_Set_Oinsert(V_y,V_A,T_a),V_x)) % 1.79/1.79 | ~ hBOOL(hAPP(V_A,V_x)) ) ). % 1.79/1.79 % 1.79/1.79 cnf(cls_Notes__imp__knows_0,axiom, % 1.79/1.79 ( c_in(V_X,c_Event_Oknows(V_A,V_evs),tc_Message_Omsg) % 1.79/1.79 | ~ c_in(c_Event_Oevent_ONotes(V_A,V_X),c_List_Oset(V_evs,tc_Event_Oevent),tc_Event_Oevent) ) ). % 1.79/1.79 % 1.79/1.79 cnf(cls_rev__singleton__conv_1,axiom, % 1.79/1.79 c_List_Orev(c_List_Olist_OCons(V_x,c_List_Olist_ONil(T_a),T_a),T_a) = c_List_Olist_OCons(V_x,c_List_Olist_ONil(T_a),T_a) ). % 1.79/1.79 % 1.79/1.79 cnf(cls_set__ConsD_0,axiom, % 1.79/1.79 ( c_in(V_y,c_List_Oset(V_xs,T_a),T_a) % 1.79/1.79 | V_y = V_x % 1.79/1.79 | ~ c_in(V_y,c_List_Oset(c_List_Olist_OCons(V_x,V_xs,T_a),T_a),T_a) ) ). % 1.79/1.79 % 1.79/1.79 cnf(cls_priK__in__initState_0,axiom, % 1.79/1.79 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) ). % 1.79/1.79 % 1.79/1.79 cnf(cls_rangeI_0,axiom, % 1.79/1.79 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) ). % 1.79/1.79 % 1.79/1.79 cnf(cls_insert__commute_0,axiom, % 1.79/1.79 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) ). % 1.79/1.79 % 1.79/1.79 cnf(cls_publicKey__inject_0,axiom, % 1.79/1.79 ( hAPP(c_Public_OpublicKey(V_b),V_A) != hAPP(c_Public_OpublicKey(V_c),V_A_H) % 1.79/1.79 | V_b = V_c ) ). % 1.79/1.79 % 1.79/1.79 cnf(cls_publicKey__inject_1,axiom, % 1.79/1.79 ( hAPP(c_Public_OpublicKey(V_b),V_A) != hAPP(c_Public_OpublicKey(V_c),V_A_H) % 1.79/1.79 | V_A = V_A_H ) ). % 1.79/1.79 % 1.79/1.79 cnf(cls_publicKey__notin__image__shrK_0,axiom, % 1.79/1.79 ~ 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) ). % 1.79/1.79 % 1.79/1.79 cnf(cls_singleton__rev__conv_0,axiom, % 1.79/1.79 ( c_List_Olist_OCons(V_x,c_List_Olist_ONil(T_a),T_a) != c_List_Orev(V_xs,T_a) % 1.79/1.79 | V_xs = c_List_Olist_OCons(V_x,c_List_Olist_ONil(T_a),T_a) ) ). % 1.79/1.79 % 1.79/1.79 cnf(cls_privateKey__neq__publicKey_0,axiom, % 1.79/1.79 hAPP(c_Message_OinvKey,hAPP(c_Public_OpublicKey(V_b),V_A)) != hAPP(c_Public_OpublicKey(V_c),V_A_H) ). % 1.79/1.79 % 1.79/1.79 cnf(cls_event_Osimps_I6_J_0,axiom, % 1.79/1.79 c_Event_Oevent_OSays(V_agent1,V_agent2,V_msg) != c_Event_Oevent_ONotes(V_agent_H,V_msg_H) ). % 1.79/1.79 % 1.79/1.79 cnf(cls_invKey__eq_0,axiom, % 1.79/1.79 ( hAPP(c_Message_OinvKey,V_K) != hAPP(c_Message_OinvKey,V_K_H) % 1.79/1.79 | V_K = V_K_H ) ). % 1.79/1.79 % 1.79/1.79 cnf(cls_publicKey__image__eq_0,axiom, % 1.79/1.79 ( V_b = V_c % 1.79/1.79 | ~ 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) ) ). % 1.79/1.79 % 1.79/1.79 cnf(cls_publicKey__image__eq_1,axiom, % 1.79/1.79 ( c_in(V_x,V_AA,tc_Message_Oagent) % 1.79/1.79 | ~ 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) ) ). % 1.79/1.79 % 1.79/1.79 cnf(cls_publicKey__image__eq_2,axiom, % 1.79/1.79 ( 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) % 1.79/1.79 | ~ c_in(V_xa,V_AA,tc_Message_Oagent) ) ). % 1.79/1.79 % 1.79/1.79 cnf(cls_synth__cut_0,axiom, % 1.79/1.79 ( c_in(V_Y,c_Message_Osynth(V_H),tc_Message_Omsg) % 1.79/1.79 | ~ c_in(V_X,c_Message_Osynth(V_H),tc_Message_Omsg) % 1.79/1.79 | ~ c_in(V_Y,c_Message_Osynth(c_Set_Oinsert(V_X,V_H,tc_Message_Omsg)),tc_Message_Omsg) ) ). % 1.79/1.79 % 1.79/1.79 cnf(cls_Says__imp__used_0,axiom, % 1.79/1.79 ( c_in(V_X,c_Event_Oused(V_evs),tc_Message_Omsg) % 1.79/1.79 | ~ c_in(c_Event_Oevent_OSays(V_A,V_B,V_X),c_List_Oset(V_evs,tc_Event_Oevent),tc_Event_Oevent) ) ). % 1.79/1.79 % 1.79/1.79 cnf(cls_privateKey__notin__image__publicKey_0,axiom, % 1.79/1.79 ~ 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) ). % 1.79/1.79 % 1.79/1.79 cnf(cls_rev__swap_0,axiom, % 1.79/1.79 V_xs = c_List_Orev(c_List_Orev(V_xs,T_a),T_a) ). % 1.79/1.79 % 1.79/1.79 cnf(cls_rev__swap_1,axiom, % 1.79/1.79 c_List_Orev(c_List_Orev(V_ys,T_a),T_a) = V_ys ). % 1.79/1.79 % 1.79/1.79 cnf(cls_rev__rev__ident_0,axiom, % 1.79/1.79 c_List_Orev(c_List_Orev(V_xs,T_a),T_a) = V_xs ). % 1.79/1.79 % 1.79/1.79 cnf(cls_insert__absorb2_0,axiom, % 1.79/1.79 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) ). % 1.79/1.79 % 1.79/1.79 cnf(cls_insert__code_0,axiom, % 1.79/1.79 ( hBOOL(hAPP(V_A,V_x)) % 1.79/1.79 | V_y = V_x % 1.79/1.79 | ~ hBOOL(hAPP(c_Set_Oinsert(V_y,V_A,T_a),V_x)) ) ). % 1.79/1.79 % 1.79/1.79 cnf(cls_rev__singleton__conv_0,axiom, % 1.79/1.79 ( c_List_Orev(V_xs,T_a) != c_List_Olist_OCons(V_x,c_List_Olist_ONil(T_a),T_a) % 1.79/1.79 | V_xs = c_List_Olist_OCons(V_x,c_List_Olist_ONil(T_a),T_a) ) ). % 1.79/1.79 % 1.79/1.79 cnf(cls_knows__Notes_0,axiom, % 1.79/1.79 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) ). % 1.79/1.79 % 1.79/1.79 cnf(cls_top1I_0,axiom, % 1.79/1.79 hBOOL(hAPP(c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_bool)),V_x)) ). % 1.79/1.79 % 1.79/1.79 cnf(cls_set__rev_0,axiom, % 1.79/1.79 c_List_Oset(c_List_Orev(V_xs,T_a),T_a) = c_List_Oset(V_xs,T_a) ). % 1.79/1.79 % 1.79/1.79 cnf(cls_privateKey__notin__image__shrK_0,axiom, % 1.79/1.79 ~ 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) ). % 1.79/1.79 % 1.79/1.79 cnf(cls_list_Osimps_I2_J_0,axiom, % 1.79/1.79 c_List_Olist_ONil(T_a) != c_List_Olist_OCons(V_a_H,V_list_H,T_a) ). % 1.79/1.79 % 1.79/1.79 cnf(cls_event_Osimps_I3_J_1,axiom, % 1.79/1.79 ( c_Event_Oevent_ONotes(V_agent,V_msg) != c_Event_Oevent_ONotes(V_agent_H,V_msg_H) % 1.79/1.79 | V_msg = V_msg_H ) ). % 1.79/1.79 % 1.79/1.79 cnf(cls_event_Osimps_I3_J_0,axiom, % 1.79/1.79 ( c_Event_Oevent_ONotes(V_agent,V_msg) != c_Event_Oevent_ONotes(V_agent_H,V_msg_H) % 1.79/1.79 | V_agent = V_agent_H ) ). % 1.79/1.79 % 1.79/1.79 cnf(cls_Notes__imp__used_0,axiom, % 1.79/1.79 ( c_in(V_X,c_Event_Oused(V_evs),tc_Message_Omsg) % 1.79/1.79 | ~ c_in(c_Event_Oevent_ONotes(V_A,V_X),c_List_Oset(V_evs,tc_Event_Oevent),tc_Event_Oevent) ) ). % 1.79/1.79 % 1.79/1.79 cnf(cls_knows__Says_0,axiom, % 1.79/1.79 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) ). % 1.79/1.79 % 1.79/1.79 cnf(cls_rev__is__rev__conv_0,axiom, % 1.79/1.79 ( c_List_Orev(V_xs,T_a) != c_List_Orev(V_ys,T_a) % 1.79/1.79 | V_xs = V_ys ) ). % 1.79/1.79 % 1.79/1.79 cnf(cls_image__insert_0,axiom, % 1.79/1.79 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) ). % 1.79/1.79 % 1.79/1.79 cnf(cls_Nil__is__rev__conv_0,axiom, % 1.79/1.79 ( c_List_Olist_ONil(T_a) != c_List_Orev(V_xs,T_a) % 1.79/1.79 | V_xs = c_List_Olist_ONil(T_a) ) ). % 1.79/1.79 % 1.79/1.79 cnf(cls_insert__code_1,axiom, % 1.79/1.79 hBOOL(hAPP(c_Set_Oinsert(V_x,V_A,T_a),V_x)) ). % 1.79/1.79 % 1.79/1.79 cnf(cls_invKey_0,axiom, % 1.79/1.79 hAPP(c_Message_OinvKey,hAPP(c_Message_OinvKey,V_K)) = V_K ). % 1.79/1.79 % 1.79/1.79 cnf(cls_event_Osimps_I1_J_2,axiom, % 1.79/1.79 ( c_Event_Oevent_OSays(V_agent1,V_agent2,V_msg) != c_Event_Oevent_OSays(V_agent1_H,V_agent2_H,V_msg_H) % 1.79/1.79 | V_msg = V_msg_H ) ). % 1.79/1.79 % 1.79/1.79 cnf(cls_event_Osimps_I1_J_1,axiom, % 1.79/1.79 ( c_Event_Oevent_OSays(V_agent1,V_agent2,V_msg) != c_Event_Oevent_OSays(V_agent1_H,V_agent2_H,V_msg_H) % 1.79/1.79 | V_agent2 = V_agent2_H ) ). % 1.79/1.79 % 1.79/1.79 cnf(cls_event_Osimps_I1_J_0,axiom, % 1.79/1.79 ( c_Event_Oevent_OSays(V_agent1,V_agent2,V_msg) != c_Event_Oevent_OSays(V_agent1_H,V_agent2_H,V_msg_H) % 1.79/1.79 | V_agent1 = V_agent1_H ) ). % 1.79/1.79 % 1.79/1.79 cnf(cls_knows__Spy__Says_0,axiom, % 1.79/1.79 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) ). % 1.79/1.79 % 1.79/1.79 cnf(cls_knows__Nil_0,axiom, % 1.79/1.79 c_Event_Oknows(V_A,c_List_Olist_ONil(tc_Event_Oevent)) = c_Event_OinitState(V_A) ). % 1.79/1.79 % 1.79/1.79 cnf(cls_list_Oinject_0,axiom, % 1.79/1.79 ( c_List_Olist_OCons(V_a,V_list,T_a) != c_List_Olist_OCons(V_a_H,V_list_H,T_a) % 1.79/1.79 | V_a = V_a_H ) ). % 1.79/1.79 % 1.79/1.79 cnf(cls_list_Oinject_1,axiom, % 1.79/1.79 ( c_List_Olist_OCons(V_a,V_list,T_a) != c_List_Olist_OCons(V_a_H,V_list_H,T_a) % 1.79/1.79 | V_list = V_list_H ) ). % 1.79/1.79 % 1.79/1.79 cnf(cls_priK__neq__shrK_0,axiom, % 1.79/1.79 hAPP(c_Public_OshrK,V_A) != hAPP(c_Message_OinvKey,hAPP(c_Public_OpublicKey(V_b),V_C)) ). % 1.79/1.79 % 1.79/1.79 cnf(cls_Nil__is__rev__conv_1,axiom, % 1.79/1.79 c_List_Olist_ONil(T_a) = c_List_Orev(c_List_Olist_ONil(T_a),T_a) ). % 1.79/1.79 % 1.79/1.79 cnf(cls_List_Oset_Osimps_I2_J_0,axiom, % 1.79/1.79 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) ). % 1.79/1.79 % 1.79/1.79 cnf(cls_Says__imp__knows_0,axiom, % 1.79/1.79 ( c_in(V_X,c_Event_Oknows(V_A,V_evs),tc_Message_Omsg) % 1.79/1.79 | ~ c_in(c_Event_Oevent_OSays(V_A,V_B,V_X),c_List_Oset(V_evs,tc_Event_Oevent),tc_Event_Oevent) ) ). % 1.79/1.79 % 1.79/1.79 cnf(cls_shrK__neq__priK_0,axiom, % 1.79/1.79 hAPP(c_Message_OinvKey,hAPP(c_Public_OpublicKey(V_b),V_C)) != hAPP(c_Public_OshrK,V_A) ). % 1.79/1.79 % 1.79/1.79 cnf(cls_publicKey__neq__privateKey_0,axiom, % 1.79/1.79 hAPP(c_Public_OpublicKey(V_c),V_A_H) != hAPP(c_Message_OinvKey,hAPP(c_Public_OpublicKey(V_b),V_A)) ). % 1.79/1.79 % 1.79/1.79 cnf(cls_analz__insert__Nonce_0,axiom, % 1.79/1.79 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) ). % 1.79/1.79 % 1.79/1.79 cnf(cls_Says__S__message__form_0,axiom, % 1.79/1.79 ( c_in(V_X,c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,V_evs)),tc_Message_Omsg) % 1.79/1.79 | ~ 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) % 1.79/1.79 | ~ c_in(V_evs,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent)) % 1.79/1.79 | ~ 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) ) ). % 1.79/1.79 % 1.79/1.79 cnf(cls_spies__evs__rev_0,axiom, % 1.79/1.79 c_Event_Oknows(c_Message_Oagent_OSpy,V_evs) = c_Event_Oknows(c_Message_Oagent_OSpy,c_List_Orev(V_evs,tc_Event_Oevent)) ). % 1.79/1.79 % 1.79/1.79 cnf(cls_analz__insert__freshK_2,axiom, % 1.79/1.79 ( 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) % 1.79/1.79 | ~ c_in(hAPP(c_Message_Omsg_OKey,V_K),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,V_evs)),tc_Message_Omsg) % 1.79/1.79 | 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) % 1.79/1.79 | ~ c_in(V_evs,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent)) ) ). % 1.79/1.79 % 1.79/1.79 cnf(cls_analz__insert__freshK_0,axiom, % 1.79/1.79 ( c_in(hAPP(c_Message_Omsg_OKey,V_K),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,V_evs)),tc_Message_Omsg) % 1.79/1.79 | V_K = V_KAB % 1.79/1.79 | ~ 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) % 1.79/1.79 | 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) % 1.79/1.79 | ~ c_in(V_evs,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent)) ) ). % 1.79/1.79 % 1.79/1.79 cnf(cls_analz__insert__freshK_1,axiom, % 1.79/1.79 ( 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) % 1.79/1.79 | ~ c_in(V_evs,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent)) % 1.79/1.79 | 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) ) ). % 1.79/1.79 % 1.79/1.79 cnf(cls_Spy__not__see__encrypted__key_0,axiom, % 1.79/1.79 ( ~ c_in(hAPP(c_Message_Omsg_OKey,V_K),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,V_evs)),tc_Message_Omsg) % 1.79/1.79 | ~ c_in(V_evs,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent)) % 1.79/1.79 | c_in(V_B,c_Event_Obad,tc_Message_Oagent) % 1.79/1.79 | c_in(V_A,c_Event_Obad,tc_Message_Oagent) % 1.79/1.79 | 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) % 1.79/1.79 | ~ 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) ) ). % 1.79/1.79 % 1.79/1.79 cnf(cls_ns__shared_OFake_0,axiom, % 1.79/1.79 ( 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)) % 1.79/1.79 | ~ c_in(V_X,c_Message_Osynth(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,V_evsf))),tc_Message_Omsg) % 1.79/1.79 | ~ c_in(V_evsf,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent)) ) ). % 1.79/1.79 % 1.79/1.79 cnf(cls_knows__Spy__Notes_1,axiom, % 1.79/1.79 ( 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) % 1.79/1.79 | c_in(V_A,c_Event_Obad,tc_Message_Oagent) ) ). % 1.79/1.79 % 1.79/1.79 cnf(cls_ns__shared_ONil_0,axiom, % 1.79/1.79 c_in(c_List_Olist_ONil(tc_Event_Oevent),c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent)) ). % 1.79/1.79 % 1.79/1.79 cnf(cls_Server__not__bad_0,axiom, % 1.79/1.79 ~ c_in(c_Message_Oagent_OServer,c_Event_Obad,tc_Message_Oagent) ). % 1.79/1.79 % 1.79/1.79 cnf(cls_secrecy__lemma_0,axiom, % 1.79/1.79 ( ~ c_in(hAPP(c_Message_Omsg_OKey,V_K),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,V_evs)),tc_Message_Omsg) % 1.79/1.79 | 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) % 1.79/1.79 | ~ c_in(V_evs,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent)) % 1.79/1.79 | c_in(V_B,c_Event_Obad,tc_Message_Oagent) % 1.79/1.79 | c_in(V_A,c_Event_Obad,tc_Message_Oagent) % 1.79/1.79 | ~ 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) ) ). % 1.79/1.79 % 1.79/1.79 cnf(cls_B__trusts__NS5_0,axiom, % 1.79/1.79 ( 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) % 1.79/1.79 | ~ c_in(V_evs,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent)) % 1.79/1.79 | c_in(V_B,c_Event_Obad,tc_Message_Oagent) % 1.79/1.79 | c_in(V_A,c_Event_Obad,tc_Message_Oagent) % 1.79/1.79 | 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) % 1.79/1.79 | ~ 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) % 1.79/1.79 | ~ 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) ) ). % 1.79/1.79 % 1.79/1.79 cnf(cls_NS4__implies__NS3_0,axiom, % 1.79/1.79 ( 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) % 1.79/1.79 | ~ 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) % 1.79/1.79 | ~ 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) % 1.79/1.79 | c_in(hAPP(c_Message_Omsg_OKey,V_K),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,V_evs)),tc_Message_Omsg) % 1.79/1.79 | ~ c_in(V_evs,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent)) ) ). % 1.79/1.79 % 1.79/1.79 cnf(cls_B__trusts__NS3_0,axiom, % 1.79/1.79 ( 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) % 1.79/1.79 | ~ c_in(V_evs,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent)) % 1.79/1.79 | c_in(V_B,c_Event_Obad,tc_Message_Oagent) % 1.79/1.79 | ~ 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) ) ). % 1.79/1.79 % 1.79/1.79 cnf(cls_A__trusts__NS4_0,axiom, % 1.79/1.79 ( 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) % 1.79/1.79 | ~ c_in(V_evs,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent)) % 1.79/1.79 | c_in(V_B,c_Event_Obad,tc_Message_Oagent) % 1.79/1.79 | c_in(V_A,c_Event_Obad,tc_Message_Oagent) % 1.79/1.79 | 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) % 1.79/1.79 | ~ 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) % 1.79/1.79 | ~ 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) ) ). % 1.79/1.79 % 1.79/1.79 cnf(cls_Crypt__notin__initState_0,axiom, % 1.79/1.79 ~ c_in(c_Message_Omsg_OCrypt(V_K,V_X),c_Message_Oparts(c_Event_OinitState(V_B)),tc_Message_Omsg) ). % 1.79/1.79 % 1.79/1.79 cnf(cls_MPair__synth__analz_1,axiom, % 1.79/1.79 ( c_in(V_Y,c_Message_Osynth(c_Message_Oanalz(V_H)),tc_Message_Omsg) % 1.79/1.79 | ~ c_in(c_Message_Omsg_OMPair(V_X,V_Y),c_Message_Osynth(c_Message_Oanalz(V_H)),tc_Message_Omsg) ) ). % 1.79/1.79 % 1.79/1.79 cnf(cls_MPair__synth__analz_0,axiom, % 1.79/1.79 ( c_in(V_X,c_Message_Osynth(c_Message_Oanalz(V_H)),tc_Message_Omsg) % 1.79/1.79 | ~ c_in(c_Message_Omsg_OMPair(V_X,V_Y),c_Message_Osynth(c_Message_Oanalz(V_H)),tc_Message_Omsg) ) ). % 1.79/1.79 % 1.79/1.79 cnf(cls_MPair__synth__analz_2,axiom, % 1.79/1.79 ( c_in(c_Message_Omsg_OMPair(V_X,V_Y),c_Message_Osynth(c_Message_Oanalz(V_H)),tc_Message_Omsg) % 1.79/1.79 | ~ c_in(V_Y,c_Message_Osynth(c_Message_Oanalz(V_H)),tc_Message_Omsg) % 1.79/1.79 | ~ c_in(V_X,c_Message_Osynth(c_Message_Oanalz(V_H)),tc_Message_Omsg) ) ). % 1.79/1.79 % 1.79/1.79 cnf(cls_Crypt__notin__image__Key_0,axiom, % 1.79/1.79 ~ 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) ). % 1.79/1.79 % 1.79/1.79 cnf(cls_Crypt__synth__eq_1,axiom, % 1.79/1.79 ( c_in(c_Message_Omsg_OCrypt(V_K,V_X),c_Message_Osynth(V_H),tc_Message_Omsg) % 1.79/1.79 | ~ c_in(c_Message_Omsg_OCrypt(V_K,V_X),V_H,tc_Message_Omsg) % 1.79/1.79 | c_in(hAPP(c_Message_Omsg_OKey,V_K),V_H,tc_Message_Omsg) ) ). % 1.79/1.79 % 1.79/1.79 cnf(cls_Crypt__synth__eq_0,axiom, % 1.79/1.79 ( c_in(c_Message_Omsg_OCrypt(V_K,V_X),V_H,tc_Message_Omsg) % 1.79/1.79 | ~ c_in(c_Message_Omsg_OCrypt(V_K,V_X),c_Message_Osynth(V_H),tc_Message_Omsg) % 1.79/1.79 | c_in(hAPP(c_Message_Omsg_OKey,V_K),V_H,tc_Message_Omsg) ) ). % 1.79/1.79 % 1.79/1.79 cnf(cls_Crypt__synth_1,axiom, % 1.79/1.79 ( c_in(hAPP(c_Message_Omsg_OKey,V_K),V_H,tc_Message_Omsg) % 1.79/1.79 | c_in(c_Message_Omsg_OCrypt(V_K,V_X),V_H,tc_Message_Omsg) % 1.79/1.79 | ~ c_in(c_Message_Omsg_OCrypt(V_K,V_X),c_Message_Osynth(V_H),tc_Message_Omsg) ) ). % 1.79/1.79 % 1.79/1.79 cnf(cls_synth_OCrypt_0,axiom, % 1.79/1.79 ( c_in(c_Message_Omsg_OCrypt(V_K,V_X),c_Message_Osynth(V_H),tc_Message_Omsg) % 1.79/1.79 | ~ c_in(hAPP(c_Message_Omsg_OKey,V_K),V_H,tc_Message_Omsg) % 1.79/1.79 | ~ c_in(V_X,c_Message_Osynth(V_H),tc_Message_Omsg) ) ). % 1.79/1.79 % 1.79/1.79 cnf(cls_Nonce__notin__initState_0,axiom, % 1.79/1.79 ~ c_in(c_Message_Omsg_ONonce(V_N),c_Message_Oparts(c_Event_OinitState(V_B)),tc_Message_Omsg) ). % 1.79/1.79 % 1.79/1.79 cnf(cls_Nonce__Key__image__eq_0,axiom, % 1.79/1.79 ~ 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) ). % 1.79/1.79 % 1.79/1.79 cnf(cls_shrK__in__initState_0,axiom, % 1.79/1.79 c_in(hAPP(c_Message_Omsg_OKey,hAPP(c_Public_OshrK,V_A)),c_Event_OinitState(V_A),tc_Message_Omsg) ). % 1.79/1.79 % 1.79/1.79 cnf(cls_shrK__in__used_0,axiom, % 1.79/1.79 c_in(hAPP(c_Message_Omsg_OKey,hAPP(c_Public_OshrK,V_A)),c_Event_Oused(V_evs),tc_Message_Omsg) ). % 1.79/1.79 % 1.79/1.79 cnf(cls_neq__shrK_0,axiom, % 1.79/1.79 c_in(hAPP(c_Message_Omsg_OKey,hAPP(c_Public_OshrK,V_B)),c_Event_Oused(V_evs),tc_Message_Omsg) ). % 1.79/1.79 % 1.79/1.79 cnf(cls_Spy__spies__bad__privateKey_0,axiom, % 1.79/1.79 ( 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) % 1.79/1.79 | ~ c_in(V_A,c_Event_Obad,tc_Message_Oagent) ) ). % 1.79/1.79 % 1.79/1.79 cnf(cls_A__trusts__NS4__lemma_0,axiom, % 1.79/1.79 ( 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) % 1.79/1.79 | ~ 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) % 1.79/1.79 | ~ 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) % 1.79/1.79 | c_in(hAPP(c_Message_Omsg_OKey,V_K),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,V_evs)),tc_Message_Omsg) % 1.79/1.79 | ~ c_in(V_evs,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent)) ) ). % 1.79/1.79 % 1.79/1.79 cnf(cls_A__trusts__NS2_0,axiom, % 1.79/1.79 ( 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) % 1.79/1.79 | ~ c_in(V_evs,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent)) % 1.79/1.79 | c_in(V_A,c_Event_Obad,tc_Message_Oagent) % 1.79/1.79 | ~ 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) ) ). % 1.79/1.79 % 1.79/1.79 cnf(cls_B__trusts__NS5__lemma_0,axiom, % 1.79/1.79 ( 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) % 1.79/1.79 | ~ 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) % 1.79/1.79 | ~ 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) % 1.79/1.79 | c_in(hAPP(c_Message_Omsg_OKey,V_K),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,V_evs)),tc_Message_Omsg) % 1.79/1.79 | ~ c_in(V_evs,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent)) % 1.79/1.79 | c_in(V_B,c_Event_Obad,tc_Message_Oagent) ) ). % 1.79/1.79 % 1.79/1.79 cnf(cls_analz_ODecrypt_0,axiom, % 1.79/1.79 ( c_in(V_X,c_Message_Oanalz(V_H),tc_Message_Omsg) % 1.79/1.79 | ~ c_in(hAPP(c_Message_Omsg_OKey,hAPP(c_Message_OinvKey,V_K)),c_Message_Oanalz(V_H),tc_Message_Omsg) % 1.79/1.79 | ~ c_in(c_Message_Omsg_OCrypt(V_K,V_X),c_Message_Oanalz(V_H),tc_Message_Omsg) ) ). % 1.79/1.79 % 1.79/1.79 cnf(cls_usedI_0,axiom, % 1.79/1.79 ( c_in(V_c,c_Event_Oused(V_evs),tc_Message_Omsg) % 1.79/1.79 | ~ c_in(V_c,c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,V_evs)),tc_Message_Omsg) ) ). % 1.79/1.79 % 1.79/1.79 cnf(cls_spies__pubK_0,axiom, % 1.79/1.79 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) ). % 1.79/1.79 % 1.79/1.79 cnf(cls_Says__S__message__form_1,axiom, % 1.79/1.79 ( c_in(V_X,c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,V_evs)),tc_Message_Omsg) % 1.79/1.79 | 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))) % 1.79/1.79 | ~ c_in(V_evs,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent)) % 1.79/1.79 | ~ 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) ) ). % 1.79/1.79 % 1.79/1.79 cnf(cls_B__Issues__A_0,axiom, % 1.79/1.79 ( c_NS__Shared__Mirabelle_OIssues(V_B,V_A,c_Message_Omsg_OCrypt(V_K,c_Message_Omsg_ONonce(V_Nb)),V_evs) % 1.79/1.79 | ~ c_in(V_evs,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent)) % 1.79/1.79 | c_in(V_B,c_Event_Obad,tc_Message_Oagent) % 1.79/1.79 | c_in(V_A,c_Event_Obad,tc_Message_Oagent) % 1.79/1.79 | c_in(hAPP(c_Message_Omsg_OKey,V_K),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,V_evs)),tc_Message_Omsg) % 1.79/1.79 | ~ 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) ) ). % 1.79/1.79 % 1.79/1.79 cnf(cls_cert__A__form_0,axiom, % 1.79/1.79 ( ~ 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) % 1.79/1.79 | ~ c_in(V_evs,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent)) % 1.79/1.79 | c_in(V_A,c_Event_Obad,tc_Message_Oagent) % 1.79/1.79 | ~ 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) ) ). % 1.79/1.79 % 1.79/1.79 cnf(cls_A__Issues__B_0,axiom, % 1.79/1.79 ( c_NS__Shared__Mirabelle_OIssues(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_evs) % 1.79/1.79 | ~ c_in(V_evs,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent)) % 1.79/1.79 | c_in(V_B,c_Event_Obad,tc_Message_Oagent) % 1.79/1.79 | c_in(V_A,c_Event_Obad,tc_Message_Oagent) % 1.79/1.79 | c_in(hAPP(c_Message_Omsg_OKey,V_K),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,V_evs)),tc_Message_Omsg) % 1.79/1.79 | ~ 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) ) ). % 1.79/1.79 % 1.79/1.79 cnf(cls_analz__spies__pubK_0,axiom, % 1.79/1.79 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) ). % 1.79/1.79 % 1.79/1.79 cnf(cls_A__trusts__NS5_0,axiom, % 1.79/1.79 ( 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) % 1.79/1.79 | ~ c_in(V_evs,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent)) % 1.79/1.79 | c_in(V_B,c_Event_Obad,tc_Message_Oagent) % 1.79/1.79 | c_in(V_A,c_Event_Obad,tc_Message_Oagent) % 1.79/1.79 | c_in(hAPP(c_Message_Omsg_OKey,V_K),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,V_evs)),tc_Message_Omsg) % 1.79/1.79 | ~ 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,V_evs)),tc_Message_Omsg) % 1.79/1.79 | ~ 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) ) ). % 1.79/1.79 % 1.79/1.79 cnf(cls_msg_Osimps_I1_J_0,axiom, % 1.79/1.79 ( c_Message_Omsg_OAgent(V_agent) != c_Message_Omsg_OAgent(V_agent_H) % 1.79/1.79 | V_agent = V_agent_H ) ). % 1.79/1.79 % 1.79/1.79 cnf(cls_parts__analz_0,axiom, % 1.79/1.79 c_Message_Oparts(c_Message_Oanalz(V_H)) = c_Message_Oparts(V_H) ). % 1.79/1.79 % 1.79/1.79 cnf(cls_analz__idem_0,axiom, % 1.79/1.79 c_Message_Oanalz(c_Message_Oanalz(V_H)) = c_Message_Oanalz(V_H) ). % 1.79/1.79 % 1.79/1.79 cnf(cls_analz_OSnd_0,axiom, % 1.79/1.79 ( c_in(V_Y,c_Message_Oanalz(V_H),tc_Message_Omsg) % 1.79/1.79 | ~ c_in(c_Message_Omsg_OMPair(V_X,V_Y),c_Message_Oanalz(V_H),tc_Message_Omsg) ) ). % 1.79/1.79 % 1.79/1.79 cnf(cls_analz_OFst_0,axiom, % 1.79/1.79 ( c_in(V_X,c_Message_Oanalz(V_H),tc_Message_Omsg) % 1.79/1.79 | ~ c_in(c_Message_Omsg_OMPair(V_X,V_Y),c_Message_Oanalz(V_H),tc_Message_Omsg) ) ). % 1.79/1.79 % 1.79/1.79 cnf(cls_parts_OSnd_0,axiom, % 1.79/1.79 ( c_in(V_Y,c_Message_Oparts(V_H),tc_Message_Omsg) % 1.79/1.79 | ~ c_in(c_Message_Omsg_OMPair(V_X,V_Y),c_Message_Oparts(V_H),tc_Message_Omsg) ) ). % 1.79/1.79 % 1.79/1.79 cnf(cls_parts_OFst_0,axiom, % 1.79/1.79 ( c_in(V_X,c_Message_Oparts(V_H),tc_Message_Omsg) % 1.79/1.79 | ~ c_in(c_Message_Omsg_OMPair(V_X,V_Y),c_Message_Oparts(V_H),tc_Message_Omsg) ) ). % 1.79/1.79 % 1.79/1.79 cnf(cls_msg_Osimps_I37_J_0,axiom, % 1.79/1.79 c_Message_Omsg_OCrypt(V_nat_H,V_msg_H) != c_Message_Omsg_ONonce(V_nat) ). % 1.79/1.79 % 1.79/1.79 cnf(cls_msg_Osimps_I12_J_0,axiom, % 1.79/1.79 c_Message_Omsg_OAgent(V_agent) != hAPP(c_Message_Omsg_OKey,V_nat_H) ). % 1.79/1.79 % 1.79/1.79 cnf(cls_msg_Osimps_I31_J_0,axiom, % 1.79/1.79 hAPP(c_Message_Omsg_OKey,V_nat_H) != c_Message_Omsg_ONonce(V_nat) ). % 1.79/1.79 % 1.79/1.79 cnf(cls_A__authenticates__and__keydist__to__B_0,axiom, % 1.79/1.79 ( c_NS__Shared__Mirabelle_OIssues(V_B,V_A,c_Message_Omsg_OCrypt(V_K,c_Message_Omsg_ONonce(V_NB)),V_evs) % 1.79/1.79 | ~ c_in(V_evs,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent)) % 1.79/1.79 | c_in(V_B,c_Event_Obad,tc_Message_Oagent) % 1.79/1.79 | c_in(V_A,c_Event_Obad,tc_Message_Oagent) % 1.79/1.79 | c_in(hAPP(c_Message_Omsg_OKey,V_K),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,V_evs)),tc_Message_Omsg) % 1.79/1.79 | ~ 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) % 1.79/1.79 | ~ 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) ) ). % 1.79/1.79 % 1.79/1.79 cnf(cls_parts_OInj_0,axiom, % 1.79/1.79 ( c_in(V_X,c_Message_Oparts(V_H),tc_Message_Omsg) % 1.79/1.79 | ~ c_in(V_X,V_H,tc_Message_Omsg) ) ). % 1.79/1.79 % 1.79/1.79 cnf(cls_analz_OInj_0,axiom, % 1.79/1.79 ( c_in(V_X,c_Message_Oanalz(V_H),tc_Message_Omsg) % 1.79/1.79 | ~ c_in(V_X,V_H,tc_Message_Omsg) ) ). % 1.79/1.79 % 1.79/1.79 cnf(cls_Spy__in__bad_0,axiom, % 1.79/1.79 c_in(c_Message_Oagent_OSpy,c_Event_Obad,tc_Message_Oagent) ). % 1.79/1.79 % 1.79/1.79 cnf(cls_msg_Osimps_I43_J_0,axiom, % 1.79/1.79 c_Message_Omsg_OCrypt(V_nat_H,V_msg_H) != hAPP(c_Message_Omsg_OKey,V_nat) ). % 1.79/1.79 % 1.79/1.79 cnf(cls_parts__idem_0,axiom, % 1.79/1.79 c_Message_Oparts(c_Message_Oparts(V_H)) = c_Message_Oparts(V_H) ). % 1.79/1.79 % 1.79/1.79 cnf(cls_msg_Osimps_I30_J_0,axiom, % 1.79/1.79 c_Message_Omsg_ONonce(V_nat) != hAPP(c_Message_Omsg_OKey,V_nat_H) ). % 1.79/1.79 % 1.79/1.79 cnf(cls_analz__parts_0,axiom, % 1.79/1.79 c_Message_Oanalz(c_Message_Oparts(V_H)) = c_Message_Oparts(V_H) ). % 1.79/1.79 % 1.79/1.79 cnf(cls_msg_Osimps_I17_J_0,axiom, % 1.79/1.79 c_Message_Omsg_OMPair(V_msg1_H,V_msg2_H) != c_Message_Omsg_OAgent(V_agent) ). % 1.79/1.79 % 1.79/1.79 cnf(cls_msg_Osimps_I11_J_0,axiom, % 1.79/1.79 c_Message_Omsg_ONonce(V_nat_H) != c_Message_Omsg_OAgent(V_agent) ). % 1.79/1.79 % 1.79/1.79 cnf(cls_parts_OBody_0,axiom, % 1.79/1.79 ( c_in(V_X,c_Message_Oparts(V_H),tc_Message_Omsg) % 1.79/1.79 | ~ c_in(c_Message_Omsg_OCrypt(V_K,V_X),c_Message_Oparts(V_H),tc_Message_Omsg) ) ). % 1.79/1.79 % 1.79/1.79 cnf(cls_analz__shrK__Decrypt_0,axiom, % 1.79/1.79 ( c_in(V_X,c_Message_Oanalz(V_H),tc_Message_Omsg) % 1.79/1.79 | ~ c_in(hAPP(c_Message_Omsg_OKey,hAPP(c_Public_OshrK,V_A)),c_Message_Oanalz(V_H),tc_Message_Omsg) % 1.79/1.79 | ~ c_in(c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,V_A),V_X),c_Message_Oanalz(V_H),tc_Message_Omsg) ) ). % 1.79/1.79 % 1.79/1.79 cnf(cls_Spy__see__shrK_1,axiom, % 1.79/1.79 ( 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) % 1.79/1.79 | ~ c_in(V_A,c_Event_Obad,tc_Message_Oagent) % 1.79/1.79 | ~ c_in(V_evs,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent)) ) ). % 1.79/1.79 % 1.79/1.79 cnf(cls_Spy__see__shrK_0,axiom, % 1.79/1.79 ( c_in(V_A,c_Event_Obad,tc_Message_Oagent) % 1.79/1.79 | ~ 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) % 1.79/1.79 | ~ c_in(V_evs,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent)) ) ). % 1.79/1.79 % 1.79/1.79 cnf(cls_parts__partsD_0,axiom, % 1.79/1.79 ( c_in(V_X,c_Message_Oparts(V_H),tc_Message_Omsg) % 1.79/1.79 | ~ c_in(V_X,c_Message_Oparts(c_Message_Oparts(V_H)),tc_Message_Omsg) ) ). % 1.79/1.79 % 1.79/1.79 cnf(cls_cert__A__form_1,axiom, % 1.79/1.79 ( 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))) % 1.79/1.79 | ~ c_in(V_evs,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent)) % 1.79/1.79 | c_in(V_A,c_Event_Obad,tc_Message_Oagent) % 1.79/1.79 | ~ 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) ) ). % 1.79/1.79 % 1.79/1.79 cnf(cls_msg_Osimps_I4_J_0,axiom, % 1.79/1.79 ( hAPP(c_Message_Omsg_OKey,V_nat) != hAPP(c_Message_Omsg_OKey,V_nat_H) % 1.79/1.79 | V_nat = V_nat_H ) ). % 1.79/1.79 % 1.79/1.79 cnf(cls_msg_Osimps_I16_J_0,axiom, % 1.79/1.79 c_Message_Omsg_OAgent(V_agent) != c_Message_Omsg_OMPair(V_msg1_H,V_msg2_H) ). % 1.79/1.79 % 1.79/1.79 cnf(cls_Spy__spies__bad__shrK_0,axiom, % 1.79/1.79 ( 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) % 1.79/1.79 | ~ c_in(V_A,c_Event_Obad,tc_Message_Oagent) ) ). % 1.79/1.79 % 1.79/1.79 cnf(cls_msg_Osimps_I18_J_0,axiom, % 1.79/1.79 c_Message_Omsg_OAgent(V_agent) != c_Message_Omsg_OCrypt(V_nat_H,V_msg_H) ). % 1.79/1.79 % 1.79/1.79 cnf(cls_msg_Osimps_I34_J_0,axiom, % 1.79/1.79 c_Message_Omsg_ONonce(V_nat) != c_Message_Omsg_OMPair(V_msg1_H,V_msg2_H) ). % 1.79/1.79 % 1.79/1.79 cnf(cls_msg_Osimps_I48_J_0,axiom, % 1.79/1.79 c_Message_Omsg_OMPair(V_msg1,V_msg2) != c_Message_Omsg_OCrypt(V_nat_H,V_msg_H) ). % 1.79/1.79 % 1.79/1.79 cnf(cls_msg_Osimps_I19_J_0,axiom, % 1.79/1.79 c_Message_Omsg_OCrypt(V_nat_H,V_msg_H) != c_Message_Omsg_OAgent(V_agent) ). % 1.79/1.79 % 1.79/1.79 cnf(cls_shrK__in__knows_0,axiom, % 1.79/1.79 c_in(hAPP(c_Message_Omsg_OKey,hAPP(c_Public_OshrK,V_A)),c_Event_Oknows(V_A,V_evs),tc_Message_Omsg) ). % 1.79/1.79 % 1.79/1.79 cnf(cls_msg_Osimps_I13_J_0,axiom, % 1.79/1.79 hAPP(c_Message_Omsg_OKey,V_nat_H) != c_Message_Omsg_OAgent(V_agent) ). % 1.79/1.79 % 1.79/1.79 cnf(cls_Spy__analz__shrK_0,axiom, % 1.79/1.79 ( c_in(V_A,c_Event_Obad,tc_Message_Oagent) % 1.79/1.79 | ~ 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) % 1.79/1.79 | ~ c_in(V_evs,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent)) ) ). % 1.79/1.79 % 1.79/1.79 cnf(cls_Spy__analz__shrK_1,axiom, % 1.79/1.79 ( 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) % 1.79/1.79 | ~ c_in(V_A,c_Event_Obad,tc_Message_Oagent) % 1.79/1.79 | ~ c_in(V_evs,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent)) ) ). % 1.79/1.79 % 1.79/1.79 cnf(cls_analz__analzD_0,axiom, % 1.79/1.79 ( c_in(V_X,c_Message_Oanalz(V_H),tc_Message_Omsg) % 1.79/1.79 | ~ c_in(V_X,c_Message_Oanalz(c_Message_Oanalz(V_H)),tc_Message_Omsg) ) ). % 1.79/1.79 % 1.79/1.79 cnf(cls_msg_Osimps_I3_J_0,axiom, % 1.79/1.79 ( c_Message_Omsg_ONonce(V_nat) != c_Message_Omsg_ONonce(V_nat_H) % 1.79/1.79 | V_nat = V_nat_H ) ). % 1.79/1.79 % 1.79/1.79 cnf(cls_mem__def_1,axiom, % 1.79/1.79 ( c_in(V_x,V_S,T_a) % 1.79/1.79 | ~ hBOOL(hAPP(V_S,V_x)) ) ). % 1.79/1.79 % 1.79/1.79 cnf(cls_mem__def_0,axiom, % 1.79/1.79 ( hBOOL(hAPP(V_S,V_x)) % 1.79/1.79 | ~ c_in(V_x,V_S,T_a) ) ). % 1.79/1.79 % 1.79/1.79 cnf(cls_msg_Osimps_I36_J_0,axiom, % 1.79/1.79 c_Message_Omsg_ONonce(V_nat) != c_Message_Omsg_OCrypt(V_nat_H,V_msg_H) ). % 1.79/1.79 % 1.79/1.79 cnf(cls_msg_Osimps_I7_J_0,axiom, % 1.79/1.79 ( c_Message_Omsg_OCrypt(V_nat,V_msg) != c_Message_Omsg_OCrypt(V_nat_H,V_msg_H) % 1.79/1.79 | V_nat = V_nat_H ) ). % 1.79/1.79 % 1.79/1.79 cnf(cls_msg_Osimps_I7_J_1,axiom, % 1.79/1.79 ( c_Message_Omsg_OCrypt(V_nat,V_msg) != c_Message_Omsg_OCrypt(V_nat_H,V_msg_H) % 1.79/1.79 | V_msg = V_msg_H ) ). % 1.79/1.79 % 1.79/1.79 cnf(cls_msg_Osimps_I10_J_0,axiom, % 1.79/1.79 c_Message_Omsg_OAgent(V_agent) != c_Message_Omsg_ONonce(V_nat_H) ). % 1.79/1.79 % 1.79/1.79 cnf(cls_msg_Osimps_I6_J_0,axiom, % 1.79/1.79 ( c_Message_Omsg_OMPair(V_msg1,V_msg2) != c_Message_Omsg_OMPair(V_msg1_H,V_msg2_H) % 1.79/1.79 | V_msg1 = V_msg1_H ) ). % 1.79/1.79 % 1.79/1.79 cnf(cls_msg_Osimps_I6_J_1,axiom, % 1.79/1.79 ( c_Message_Omsg_OMPair(V_msg1,V_msg2) != c_Message_Omsg_OMPair(V_msg1_H,V_msg2_H) % 1.79/1.79 | V_msg2 = V_msg2_H ) ). % 1.79/1.79 % 1.79/1.79 cnf(cls_Crypt__Spy__analz__bad_0,axiom, % 1.79/1.79 ( c_in(V_X,c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,V_evs)),tc_Message_Omsg) % 1.79/1.79 | ~ c_in(V_A,c_Event_Obad,tc_Message_Oagent) % 1.79/1.79 | ~ 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) ) ). % 1.79/1.79 % 1.79/1.79 cnf(cls_msg_Osimps_I35_J_0,axiom, % 1.79/1.79 c_Message_Omsg_OMPair(V_msg1_H,V_msg2_H) != c_Message_Omsg_ONonce(V_nat) ). % 1.79/1.79 % 1.79/1.79 cnf(cls_msg_Osimps_I49_J_0,axiom, % 1.79/1.79 c_Message_Omsg_OCrypt(V_nat_H,V_msg_H) != c_Message_Omsg_OMPair(V_msg1,V_msg2) ). % 1.79/1.79 % 1.79/1.79 cnf(cls_msg_Osimps_I40_J_0,axiom, % 1.79/1.79 hAPP(c_Message_Omsg_OKey,V_nat) != c_Message_Omsg_OMPair(V_msg1_H,V_msg2_H) ). % 1.79/1.79 % 1.79/1.79 cnf(cls_msg_Osimps_I41_J_0,axiom, % 1.79/1.79 c_Message_Omsg_OMPair(V_msg1_H,V_msg2_H) != hAPP(c_Message_Omsg_OKey,V_nat) ). % 1.79/1.79 % 1.79/1.79 cnf(cls_msg_Osimps_I42_J_0,axiom, % 1.79/1.79 hAPP(c_Message_Omsg_OKey,V_nat) != c_Message_Omsg_OCrypt(V_nat_H,V_msg_H) ). % 1.79/1.79 % 1.79/1.79 cnf(cls_shrK__injective_0,axiom, % 1.79/1.79 ( hAPP(c_Public_OshrK,V_x) != hAPP(c_Public_OshrK,V_y) % 1.79/1.79 | V_x = V_y ) ). % 1.79/1.79 % 1.79/1.80 cnf(cls_not__parts__not__analz_0,axiom, % 1.79/1.80 ( ~ c_in(V_c,c_Message_Oanalz(V_H),tc_Message_Omsg) % 1.79/1.80 | c_in(V_c,c_Message_Oparts(V_H),tc_Message_Omsg) ) ). % 1.79/1.80 % 1.79/1.80 cnf(cls_analz__into__parts_0,axiom, % 1.79/1.80 ( c_in(V_c,c_Message_Oparts(V_H),tc_Message_Omsg) % 1.79/1.80 | ~ c_in(V_c,c_Message_Oanalz(V_H),tc_Message_Omsg) ) ). % 1.79/1.80 % 1.79/1.80 cnf(cls_analz__conj__parts_0,axiom, % 1.79/1.80 ( c_in(V_X,c_Message_Oparts(V_H),tc_Message_Omsg) % 1.79/1.80 | ~ c_in(V_X,c_Message_Oanalz(V_H),tc_Message_Omsg) ) ). % 1.79/1.80 % 1.79/1.80 cnf(cls_conjecture_0,negated_conjecture, % 1.79/1.80 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) ). % 1.79/1.80 % 1.79/1.80 cnf(cls_conjecture_1,negated_conjecture, % 1.79/1.80 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) ). % 1.79/1.80 % 1.79/1.80 cnf(cls_conjecture_2,negated_conjecture, % 1.79/1.80 ~ c_in(hAPP(c_Message_Omsg_OKey,v_K),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs)),tc_Message_Omsg) ). % 1.79/1.80 % 1.79/1.80 cnf(cls_conjecture_3,negated_conjecture, % 1.79/1.80 ~ c_in(v_A,c_Event_Obad,tc_Message_Oagent) ). % 1.79/1.80 % 1.79/1.80 cnf(cls_conjecture_4,negated_conjecture, % 1.79/1.80 ~ c_in(v_B,c_Event_Obad,tc_Message_Oagent) ). % 1.79/1.80 % 1.79/1.80 cnf(cls_conjecture_5,negated_conjecture, % 1.79/1.80 c_in(v_evs,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent)) ). % 1.79/1.80 % 1.79/1.80 cnf(cls_conjecture_6,negated_conjecture, % 1.79/1.80 ~ c_NS__Shared__Mirabelle_OIssues(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_evs) ). % 1.79/1.80 % 1.79/1.80 cnf(clsarity_fun__Lattices_Oupper__semilattice,axiom, % 1.79/1.80 ( class_Lattices_Oupper__semilattice(tc_fun(T_2,T_1)) % 1.79/1.80 | ~ class_Lattices_Olattice(T_1) ) ). % 1.79/1.80 % 1.79/1.80 cnf(clsarity_fun__Lattices_Obounded__lattice,axiom, % 1.79/1.80 ( class_Lattices_Obounded__lattice(tc_fun(T_2,T_1)) % 1.79/1.80 | ~ class_Lattices_Obounded__lattice(T_1) ) ). % 1.79/1.80 % 1.79/1.80 cnf(clsarity_fun__Lattices_Oboolean__algebra,axiom, % 1.79/1.80 ( class_Lattices_Oboolean__algebra(tc_fun(T_2,T_1)) % 1.79/1.80 | ~ class_Lattices_Oboolean__algebra(T_1) ) ). % 1.79/1.80 % 1.79/1.80 cnf(clsarity_fun__Orderings_Opreorder,axiom, % 1.79/1.80 ( class_Orderings_Opreorder(tc_fun(T_2,T_1)) % 1.79/1.80 | ~ class_Orderings_Opreorder(T_1) ) ). % 1.79/1.80 % 1.79/1.80 cnf(clsarity_fun__Lattices_Olattice,axiom, % 1.79/1.80 ( class_Lattices_Olattice(tc_fun(T_2,T_1)) % 1.79/1.80 | ~ class_Lattices_Olattice(T_1) ) ). % 1.79/1.80 % 1.79/1.80 cnf(clsarity_fun__Orderings_Oorder,axiom, % 1.79/1.80 ( class_Orderings_Oorder(tc_fun(T_2,T_1)) % 1.79/1.80 | ~ class_Orderings_Oorder(T_1) ) ). % 1.79/1.80 % 1.79/1.80 cnf(clsarity_fun__Orderings_Otop,axiom, % 1.79/1.80 ( class_Orderings_Otop(tc_fun(T_2,T_1)) % 1.79/1.80 | ~ class_Orderings_Otop(T_1) ) ). % 1.79/1.80 % 1.79/1.80 cnf(clsarity_fun__HOL_Oord,axiom, % 1.79/1.80 ( class_HOL_Oord(tc_fun(T_2,T_1)) % 1.79/1.80 | ~ class_HOL_Oord(T_1) ) ). % 1.79/1.80 % 1.79/1.80 cnf(clsarity_nat__Lattices_Oupper__semilattice,axiom, % 1.79/1.80 class_Lattices_Oupper__semilattice(tc_nat) ). % 1.79/1.80 % 1.79/1.80 cnf(clsarity_nat__Orderings_Opreorder,axiom, % 1.79/1.80 class_Orderings_Opreorder(tc_nat) ). % 1.79/1.80 % 1.79/1.80 cnf(clsarity_nat__Orderings_Olinorder,axiom, % 1.79/1.80 class_Orderings_Olinorder(tc_nat) ). % 1.79/1.80 % 1.79/1.80 cnf(clsarity_nat__Lattices_Olattice,axiom, % 1.79/1.80 class_Lattices_Olattice(tc_nat) ). % 1.79/1.80 % 1.79/1.80 cnf(clsarity_nat__Orderings_Oorder,axiom, % 1.79/1.80 class_Orderings_Oorder(tc_nat) ). % 1.79/1.80 % 1.79/1.80 cnf(clsarity_nat__HOL_Oord,axiom, % 1.79/1.80 class_HOL_Oord(tc_nat) ). % 1.79/1.80 % 1.79/1.80 cnf(clsarity_bool__Lattices_Oupper__semilattice,axiom, % 1.79/1.80 class_Lattices_Oupper__semilattice(tc_bool) ). % 1.79/1.80 % 1.79/1.80 cnf(clsarity_bool__Lattices_Obounded__lattice,axiom, % 1.79/1.80 class_Lattices_Obounded__lattice(tc_bool) ). % 1.79/1.80 % 1.79/1.80 cnf(clsarity_bool__Lattices_Oboolean__algebra,axiom, % 1.79/1.80 class_Lattices_Oboolean__algebra(tc_bool) ). % 1.79/1.80 % 1.79/1.80 cnf(clsarity_bool__Orderings_Opreorder,axiom, % 1.79/1.80 class_Orderings_Opreorder(tc_bool) ). % 1.79/1.80 % 1.79/1.80 cnf(clsarity_bool__Lattices_Olattice,axiom, % 1.79/1.80 class_Lattices_Olattice(tc_bool) ). % 1.79/1.80 % 1.79/1.80 cnf(clsarity_bool__Orderings_Oorder,axiom, % 1.79/1.80 class_Orderings_Oorder(tc_bool) ). % 1.79/1.80 % 1.79/1.80 cnf(clsarity_bool__Orderings_Otop,axiom, % 1.79/1.80 class_Orderings_Otop(tc_bool) ). % 1.79/1.80 % 1.79/1.80 cnf(clsarity_bool__HOL_Oord,axiom, % 1.79/1.80 class_HOL_Oord(tc_bool) ). % 1.79/1.80 % 1.79/1.80 cnf(cls_ATP__Linkup_Oequal__imp__fequal_0,axiom, % 1.79/1.80 c_fequal(V_x,V_x,T_a) ). % 1.79/1.80 % 1.79/1.80 cnf(cls_ATP__Linkup_Ofequal__imp__equal_0,axiom, % 1.79/1.80 ( V_X = V_Y % 1.79/1.80 | ~ c_fequal(V_X,V_Y,T_a) ) ). % 1.79/1.80 % 1.79/1.80 %------------------------------------------------------------------------------ % 1.79/1.80 %------------------------------------------- % 1.79/1.80 % Proof found % 1.79/1.80 % SZS status Theorem for theBenchmark % 1.79/1.80 % SZS output start Proof % 1.79/1.80 %ClaNum:664(EqnAxiom:110) % 1.79/1.80 %VarNum:2864(SingletonVarNum:1392) % 1.79/1.80 %MaxLitNum:7 % 1.79/1.80 %MaxfuncDepth:9 % 1.79/1.80 %SharedTerms:65 % 1.79/1.80 %goalClause: 142 198 216 300 301 318 322 % 1.79/1.80 %singleGoalClaCount:7 % 1.79/1.80 [111]P1(a1) % 1.79/1.80 [112]P9(a1) % 1.79/1.80 [113]P9(a42) % 1.79/1.80 [114]P10(a1) % 1.79/1.80 [115]P10(a42) % 1.79/1.80 [116]P2(a1) % 1.79/1.80 [117]P3(a1) % 1.79/1.80 [118]P3(a42) % 1.79/1.80 [119]P11(a1) % 1.79/1.80 [120]P11(a42) % 1.79/1.80 [121]P15(a1) % 1.79/1.80 [122]P16(a1) % 1.79/1.80 [123]P16(a42) % 1.79/1.80 [124]P12(a42) % 1.79/1.80 [139]P6(a21,a5,a39) % 1.79/1.80 [274]~E(a23,a21) % 1.79/1.80 [299]~P6(a23,a5,a39) % 1.79/1.80 [300]~P6(a46,a5,a39) % 1.79/1.80 [301]~P6(a47,a5,a39) % 1.79/1.80 [125]P4(f3(a2)) % 1.79/1.80 [142]P6(a44,a34,f40(a2)) % 1.79/1.80 [143]P6(f3(a2),a34,f40(a2)) % 1.79/1.80 [318]~P6(f32(a28,a45),f19(f4(a21,a44)),a41) % 1.79/1.80 [198]P6(f29(a45,f30(f27(a48),f27(a48))),f18(f4(a21,a44)),a41) % 1.79/1.80 [216]P6(f29(f32(a33,a46),f30(f32(a28,a45),f25(a47))),f18(f4(a21,a44)),a41) % 1.79/1.80 [322]~P5(a47,a46,f29(a45,f30(f27(a48),f27(a48))),a44) % 1.79/1.80 [153]P6(f32(a33,x1531),a31,a42) % 1.79/1.80 [157]P8(x1571,f17(x1571),f43(a41,a1)) % 1.79/1.80 [158]P8(x1581,f18(x1581),f43(a41,a1)) % 1.79/1.80 [159]P8(x1591,f19(x1591),f43(a41,a1)) % 1.79/1.80 [160]P8(f19(x1601),f18(x1601),f43(a41,a1)) % 1.79/1.80 [126]E(f17(f17(x1261)),f17(x1261)) % 1.79/1.80 [127]E(f18(f18(x1271)),f18(x1271)) % 1.79/1.80 [128]E(f18(f19(x1281)),f18(x1281)) % 1.79/1.80 [129]E(f19(f18(x1291)),f18(x1291)) % 1.79/1.80 [130]E(f19(f19(x1301)),f19(x1301)) % 1.79/1.80 [132]E(f20(f3(x1321),x1321),f3(x1321)) % 1.79/1.80 [133]E(f32(a24,f32(a24,x1331)),x1331) % 1.79/1.80 [137]E(f4(a21,f20(x1371,a2)),f4(a21,x1371)) % 1.79/1.80 [138]E(f32(a24,f32(a33,x1381)),f32(a33,x1381)) % 1.79/1.80 [161]P8(f11(f3(a2)),f11(x1611),f43(a41,a1)) % 1.79/1.80 [162]E(f10(f18(x1621),f17(x1621),f43(a41,a1)),f18(f17(x1621))) % 1.79/1.80 [163]E(f10(f19(x1631),f17(x1631),f43(a41,a1)),f19(f17(x1631))) % 1.79/1.80 [171]P8(f18(f4(a21,x1711)),f11(x1711),f43(a41,a1)) % 1.79/1.80 [261]E(f18(f38(a28,x2611,a42,a41)),f38(a28,x2611,a42,a41)) % 1.79/1.80 [262]E(f19(f38(a28,x2621,a42,a41)),f38(a28,x2621,a42,a41)) % 1.79/1.80 [315]~P6(f27(x3151),f11(f3(a2)),a41) % 1.79/1.80 [212]P8(f18(f4(a21,f20(x2121,a2))),f18(f4(a21,x2121)),f43(a41,a1)) % 1.79/1.80 [141]P7(x1411,x1411,x1412) % 1.79/1.80 [150]P6(f25(x1501),f17(x1502),a41) % 1.79/1.80 [155]P8(x1551,x1551,f43(x1552,a1)) % 1.79/1.80 [276]~E(f27(x2761),f25(x2762)) % 1.79/1.80 [277]~E(f25(x2771),f32(a28,x2772)) % 1.79/1.80 [278]~E(f27(x2781),f32(a28,x2782)) % 1.79/1.80 [279]~E(f32(a28,x2791),f25(x2792)) % 1.79/1.80 [280]~E(f32(a28,x2801),f27(x2802)) % 1.79/1.80 [323]~P6(f27(x3231),f38(a28,x3232,a42,a41),a41) % 1.79/1.80 [136]E(f20(f20(x1361,x1362),x1362),x1361) % 1.79/1.80 [140]E(f22(f20(x1401,x1402),x1402),f22(x1401,x1402)) % 1.79/1.80 [147]E(f9(x1471,f3(x1472),x1472),x1471) % 1.79/1.80 [148]E(f9(f3(x1481),x1482,x1481),x1482) % 1.79/1.80 [156]E(f10(x1561,x1561,f43(x1562,a1)),x1561) % 1.79/1.80 [164]P6(x1641,f35(f43(x1642,a1)),x1642) % 1.79/1.80 [165]E(f15(f15(x1651,f43(x1652,a1)),f43(x1652,a1)),x1651) % 1.79/1.80 [169]P6(f32(a28,f32(a33,x1691)),f11(x1692),a41) % 1.79/1.80 [170]P8(x1701,f35(f43(x1702,a1)),f43(x1702,a1)) % 1.79/1.80 [172]P8(f4(x1721,f3(a2)),f4(x1721,x1722),f43(a41,a1)) % 1.79/1.80 [174]P6(f32(a28,f32(a33,x1741)),f4(x1741,x1742),a41) % 1.79/1.80 [177]E(f10(x1771,f35(f43(x1772,a1)),f43(x1772,a1)),f35(f43(x1772,a1))) % 1.79/1.80 [178]E(f10(f35(f43(x1781,a1)),x1782,f43(x1781,a1)),f35(f43(x1781,a1))) % 1.79/1.80 [187]E(f10(x1871,f15(x1871,f43(x1872,a1)),f43(x1872,a1)),f35(f43(x1872,a1))) % 1.79/1.80 [188]E(f10(f15(x1881,f43(x1882,a1)),x1881,f43(x1882,a1)),f35(f43(x1882,a1))) % 1.79/1.80 [234]P8(f37(x2341,f17(x2342),a41),f17(f37(x2341,x2342,a41)),f43(a41,a1)) % 1.79/1.80 [235]P8(f37(x2351,f18(x2352),a41),f18(f37(x2351,x2352,a41)),f43(a41,a1)) % 1.79/1.80 [236]P8(f37(x2361,f19(x2362),a41),f19(f37(x2361,x2362,a41)),f43(a41,a1)) % 1.79/1.80 [316]~P6(f32(f36(x3161),x3162),a31,a42) % 1.79/1.80 [317]~P6(f29(x3171,x3172),f11(f3(a2)),a41) % 1.79/1.80 [166]E(f26(f37(f25(x1661),x1662,a41)),f26(x1662)) % 1.79/1.80 [167]E(f26(f37(f27(x1671),x1672,a41)),f26(x1672)) % 1.79/1.80 [173]P17(f32(f35(f43(x1731,a1)),x1732)) % 1.79/1.80 [179]E(f26(f37(f32(a28,x1791),x1792,a41)),f26(x1792)) % 1.79/1.80 [192]E(f18(f37(f25(x1921),x1922,a41)),f37(f25(x1921),f18(x1922),a41)) % 1.79/1.80 [193]E(f18(f37(f27(x1931),x1932,a41)),f37(f27(x1931),f18(x1932),a41)) % 1.79/1.80 [194]E(f19(f37(f25(x1941),x1942,a41)),f37(f25(x1941),f19(x1942),a41)) % 1.79/1.80 [195]E(f19(f37(f27(x1951),x1952,a41)),f37(f27(x1951),f19(x1952),a41)) % 1.79/1.80 [197]E(f20(f16(x1971,f3(x1972),x1972),x1972),f16(x1971,f3(x1972),x1972)) % 1.79/1.80 [207]E(f18(f37(f32(a28,x2071),x2072,a41)),f37(f32(a28,x2071),f18(x2072),a41)) % 1.79/1.80 [208]E(f10(f18(x2081),f18(x2082),f43(a41,a1)),f18(f10(x2081,x2082,f43(a41,a1)))) % 1.79/1.80 [217]E(f19(f10(f19(x2171),x2172,f43(a41,a1))),f19(f10(x2171,x2172,f43(a41,a1)))) % 1.79/1.80 [254]E(f10(f19(f10(x2541,x2542,f43(a41,a1))),f17(x2541),f43(a41,a1)),f19(f10(f17(x2541),x2542,f43(a41,a1)))) % 1.79/1.80 [255]P8(f18(f10(x2551,x2552,f43(a41,a1))),f10(f18(x2551),f18(x2552),f43(a41,a1)),f43(a41,a1)) % 1.79/1.80 [256]P8(f10(f17(x2561),f17(x2562),f43(a41,a1)),f17(f10(x2561,x2562,f43(a41,a1))),f43(a41,a1)) % 1.79/1.80 [257]P8(f10(f18(x2571),f18(x2572),f43(a41,a1)),f18(f10(x2571,x2572,f43(a41,a1))),f43(a41,a1)) % 1.79/1.80 [258]P8(f10(f19(x2581),f19(x2582),f43(a41,a1)),f19(f10(x2581,x2582,f43(a41,a1))),f43(a41,a1)) % 1.79/1.80 [319]~P6(f27(x3191),f18(f4(x3192,f3(a2))),a41) % 1.79/1.80 [321]~P6(f32(a24,f32(f36(x3211),x3212)),a31,a42) % 1.79/1.80 [214]P6(f32(a28,f32(a24,f32(f36(x2141),x2142))),f4(x2142,f3(a2)),a41) % 1.79/1.80 [183]P6(x1831,f37(x1831,x1832,x1833),x1833) % 1.79/1.80 [190]P8(x1901,f37(x1902,x1901,x1903),f43(x1903,a1)) % 1.79/1.80 [281]~E(f25(x2811),f29(x2812,x2813)) % 1.79/1.80 [282]~E(f25(x2821),f30(x2822,x2823)) % 1.79/1.80 [283]~E(f27(x2831),f29(x2832,x2833)) % 1.79/1.80 [284]~E(f27(x2841),f30(x2842,x2843)) % 1.79/1.80 [285]~E(f29(x2851,x2852),f25(x2853)) % 1.79/1.80 [286]~E(f29(x2861,x2862),f27(x2863)) % 1.79/1.80 [287]~E(f30(x2871,x2872),f25(x2873)) % 1.79/1.80 [288]~E(f30(x2881,x2882),f27(x2883)) % 1.79/1.80 [289]~E(f29(x2891,x2892),f32(a28,x2893)) % 1.79/1.80 [290]~E(f30(x2901,x2902),f32(a28,x2903)) % 1.79/1.80 [291]~E(f32(a28,x2911),f29(x2912,x2913)) % 1.79/1.80 [292]~E(f32(a28,x2921),f30(x2922,x2923)) % 1.79/1.80 [303]~E(f16(x3031,x3032,x3033),x3032) % 1.79/1.80 [306]~E(f16(x3061,x3062,x3063),f3(x3063)) % 1.79/1.80 [324]~P6(f29(x3241,x3242),f38(a28,x3243,a42,a41),a41) % 1.79/1.80 [176]E(f10(x1761,x1762,f43(x1763,a1)),f10(x1762,x1761,f43(x1763,a1))) % 1.79/1.80 [199]E(f37(x1991,f22(x1992,x1993),x1993),f22(f16(x1991,x1992,x1993),x1993)) % 1.79/1.80 [201]E(f37(x2011,f37(x2011,x2012,x2013),x2013),f37(x2011,x2012,x2013)) % 1.79/1.80 [204]E(f9(f20(x2041,x2042),f20(x2043,x2042),x2042),f20(f9(x2043,x2041,x2042),x2042)) % 1.79/1.80 [205]P8(x2051,f10(x2052,x2051,f43(x2053,a1)),f43(x2053,a1)) % 1.79/1.80 [206]P8(x2061,f10(x2061,x2062,f43(x2063,a1)),f43(x2063,a1)) % 1.79/1.80 [209]P17(f32(f37(x2091,x2092,x2093),x2091)) % 1.79/1.80 [211]E(f10(f22(x2111,x2112),f22(x2113,x2112),f43(x2112,a1)),f22(f9(x2111,x2113,x2112),x2112)) % 1.79/1.80 [215]E(f10(x2151,f10(x2151,x2152,f43(x2153,a1)),f43(x2153,a1)),f10(x2151,x2152,f43(x2153,a1))) % 1.79/1.80 [228]P8(f4(x2281,x2282),f4(x2281,f16(x2283,x2282,a2)),f43(a41,a1)) % 1.79/1.80 [229]P8(f22(x2291,x2292),f22(f16(x2293,x2291,x2292),x2292),f43(x2292,a1)) % 1.79/1.80 [297]~E(f32(a33,x2971),f32(f36(x2972),x2973)) % 1.79/1.80 [298]~E(f32(f36(x2981),x2982),f32(a33,x2983)) % 1.79/1.80 [325]~P6(f32(a33,x3251),f38(f36(x3252),x3253,a39,a42),a42) % 1.79/1.80 [326]~P6(f32(f36(x3261),x3262),f38(a33,x3263,a39,a42),a42) % 1.79/1.80 [180]P6(f32(a28,f32(f36(x1801),x1802)),f11(x1803),a41) % 1.79/1.80 [184]E(f26(f37(f30(x1841,x1842),x1843,a41)),f26(x1843)) % 1.79/1.80 [185]E(f11(f16(f6(x1851,x1852),x1853,a2)),f11(x1853)) % 1.79/1.80 [186]P6(f32(a28,f32(f36(x1861),x1862)),f4(a21,x1863),a41) % 1.79/1.80 [189]E(f4(a21,f16(f6(x1891,x1892),x1893,a2)),f4(a21,x1893)) % 1.79/1.80 [191]P6(f32(a28,f32(f36(x1911),x1912)),f4(x1913,f3(a2)),a41) % 1.79/1.80 [200]P6(f32(a28,f32(f36(x2001),x2002)),f19(f4(a21,x2003)),a41) % 1.79/1.80 [210]E(f4(x2101,f16(f7(x2101,x2102),x2103,a2)),f37(x2102,f4(x2101,x2103),a41)) % 1.79/1.80 [218]E(f9(f20(x2181,x2182),f16(x2183,f3(x2182),x2182),x2182),f20(f16(x2183,x2181,x2182),x2182)) % 1.79/1.80 [246]E(f37(f29(x2461,x2462),f18(f37(x2462,x2463,a41)),a41),f18(f37(f29(x2461,x2462),x2463,a41))) % 1.79/1.80 [270]P8(f19(f37(f29(x2701,x2702),x2703,a41)),f37(f29(x2701,x2702),f19(f37(x2702,x2703,a41)),a41),f43(a41,a1)) % 1.79/1.80 [307]~E(f32(a33,x3071),f32(a24,f32(f36(x3072),x3073))) % 1.79/1.80 [308]~E(f32(a24,f32(f36(x3081),x3082)),f32(a33,x3083)) % 1.79/1.80 [320]~P6(f29(x3201,x3202),f18(f4(x3203,f3(a2))),a41) % 1.79/1.80 [327]~P6(f32(a24,f32(f36(x3271),x3272)),f38(a33,x3273,a39,a42),a42) % 1.79/1.80 [329]~P6(f32(a33,x3291),f38(a24,f38(f36(x3292),x3293,a39,a42),a42,a42),a42) % 1.79/1.80 [213]P6(f32(a28,f32(a24,f32(f36(x2131),x2132))),f11(x2133),a41) % 1.79/1.80 [245]E(f4(a21,f9(x2451,f16(f6(x2452,x2453),f3(a2),a2),a2)),f4(a21,x2451)) % 1.79/1.80 [252]E(f20(f9(f20(x2521,x2522),f16(x2523,f3(x2522),x2522),x2522),x2522),f16(x2523,x2521,x2522)) % 1.79/1.80 [266]E(f37(f30(x2661,x2662),f18(f37(x2661,f37(x2662,x2663,a41),a41)),a41),f18(f37(f30(x2661,x2662),x2663,a41))) % 1.79/1.80 [267]E(f37(f30(x2671,x2672),f19(f37(x2671,f37(x2672,x2673,a41),a41)),a41),f19(f37(f30(x2671,x2672),x2673,a41))) % 1.79/1.80 [294]~E(f7(x2941,x2942),f6(x2943,x2944)) % 1.79/1.80 [296]~E(f30(x2961,x2962),f29(x2963,x2964)) % 1.79/1.80 [219]E(f37(x2191,f37(x2192,x2193,x2194),x2194),f37(x2192,f37(x2191,x2193,x2194),x2194)) % 1.79/1.80 [225]E(f9(f9(x2251,x2252,x2253),x2254,x2253),f9(x2251,f9(x2252,x2254,x2253),x2253)) % 1.79/1.80 [227]E(f16(x2271,f9(x2272,x2273,x2274),x2274),f9(f16(x2271,x2272,x2274),x2273,x2274)) % 1.79/1.80 [247]E(f10(x2471,f10(x2472,x2473,f43(x2474,a1)),f43(x2474,a1)),f10(x2472,f10(x2471,x2473,f43(x2474,a1)),f43(x2474,a1))) % 1.79/1.80 [249]E(f10(f10(x2491,x2492,f43(x2493,a1)),x2494,f43(x2493,a1)),f10(x2491,f10(x2492,x2494,f43(x2493,a1)),f43(x2493,a1))) % 1.79/1.80 [230]E(f37(x2301,f10(x2302,x2303,f43(x2304,a1)),x2304),f10(x2302,f37(x2301,x2303,x2304),f43(x2304,a1))) % 1.79/1.80 [231]E(f37(x2311,f10(x2312,x2313,f43(x2314,a1)),x2314),f10(f37(x2311,x2312,x2314),x2313,f43(x2314,a1))) % 1.79/1.80 [237]E(f4(a21,f16(f8(x2371,x2372,x2373),x2374,a2)),f37(x2373,f4(a21,x2374),a41)) % 1.79/1.80 [240]E(f4(x2401,f16(f8(x2401,x2402,x2403),x2404,a2)),f37(x2403,f4(x2401,x2404),a41)) % 1.79/1.80 [259]P6(f32(x2591,x2592),f38(x2591,f35(f43(x2593,a1)),x2593,x2594),x2594) % 1.79/1.80 [260]P6(x2601,f22(f9(x2602,f16(x2601,x2603,x2604),x2604),x2604),x2604) % 1.79/1.80 [313]~E(f32(f36(x3131),x3132),f32(a24,f32(f36(x3133),x3134))) % 1.79/1.80 [314]~E(f32(a24,f32(f36(x3141),x3142)),f32(f36(x3143),x3144)) % 1.79/1.80 [328]~P6(f32(a24,f32(f36(x3281),x3282)),f38(f36(x3283),x3284,a39,a42),a42) % 1.79/1.80 [330]~P6(f32(f36(x3301),x3302),f38(a24,f38(f36(x3303),x3304,a39,a42),a42,a42),a42) % 1.79/1.80 [265]E(f4(a21,f9(x2651,f16(f8(x2652,x2653,x2654),f3(a2),a2),a2)),f37(x2654,f4(a21,x2651),a41)) % 1.79/1.80 [309]~E(f6(x3091,x3092),f8(x3093,x3094,x3095)) % 1.79/1.80 [310]~E(f7(x3101,x3102),f8(x3103,x3104,x3105)) % 1.79/1.80 [311]~E(f8(x3111,x3112,x3113),f6(x3114,x3115)) % 1.79/1.80 [312]~E(f8(x3121,x3122,x3123),f7(x3124,x3125)) % 1.79/1.80 [268]E(f38(x2681,f37(x2682,x2683,x2684),x2684,x2685),f37(f32(x2681,x2682),f38(x2681,x2683,x2684,x2685),x2685)) % 1.79/1.80 [269]E(f37(f32(x2691,x2692),f38(x2691,x2693,x2694,x2695),x2695),f38(x2691,f37(x2692,x2693,x2694),x2694,x2695)) % 1.79/1.80 [272]E(f10(f38(x2721,x2722,x2723,x2724),f38(x2721,x2725,x2723,x2724),f43(x2724,a1)),f38(x2721,f10(x2722,x2725,f43(x2723,a1)),x2723,x2724)) % 1.79/1.80 [377]E(f32(a24,x3771),x3771)+~P6(x3771,a31,a42) % 1.79/1.80 [398]~P6(x3981,a31,a42)+P6(f32(a24,x3981),a31,a42) % 1.79/1.80 [406]P6(x4061,a31,a42)+~P6(f32(a24,x4061),a31,a42) % 1.79/1.80 [362]~P11(x3622)+P8(x3621,x3621,x3622) % 1.79/1.80 [363]~P16(x3632)+P8(x3631,x3631,x3632) % 1.79/1.80 [331]E(x3311,x3312)+~E(f25(x3311),f25(x3312)) % 1.79/1.80 [332]E(x3321,x3322)+~E(f27(x3321),f27(x3322)) % 1.79/1.80 [334]~E(f20(x3341,x3342),f3(x3342))+E(x3341,f3(x3342)) % 1.79/1.80 [335]~P1(x3352)+P1(f43(x3351,x3352)) % 1.79/1.80 [336]~P10(x3362)+P9(f43(x3361,x3362)) % 1.79/1.80 [337]~P10(x3372)+P10(f43(x3371,x3372)) % 1.79/1.80 [338]~P2(x3382)+P2(f43(x3381,x3382)) % 1.79/1.80 [339]~P3(x3392)+P3(f43(x3391,x3392)) % 1.79/1.80 [340]~P11(x3402)+P11(f43(x3401,x3402)) % 1.79/1.80 [341]~P15(x3412)+P15(f43(x3411,x3412)) % 1.79/1.80 [342]~P16(x3422)+P16(f43(x3421,x3422)) % 1.79/1.80 [343]E(x3431,x3432)+~E(f32(a24,x3431),f32(a24,x3432)) % 1.79/1.80 [344]E(x3441,x3442)+~E(f32(a28,x3441),f32(a28,x3442)) % 1.79/1.80 [345]E(x3451,x3452)+~E(f32(a33,x3451),f32(a33,x3452)) % 1.79/1.80 [364]~P9(x3642)+E(f10(x3641,x3641,x3642),x3641) % 1.79/1.80 [367]~P15(x3672)+P8(x3671,f35(x3672),x3672) % 1.79/1.80 [389]~P6(x3891,x3892,a41)+P6(x3891,f17(x3892),a41) % 1.79/1.80 [390]~P6(x3901,x3902,a41)+P6(x3901,f18(x3902),a41) % 1.79/1.80 [391]~P6(x3911,x3912,a41)+P6(x3911,f19(x3912),a41) % 1.79/1.80 [397]~P6(x3971,f19(x3972),a41)+P6(x3971,f18(x3972),a41) % 1.79/1.80 [401]~P6(f27(x4011),f17(x4012),a41)+P6(f27(x4011),x4012,a41) % 1.79/1.80 [437]~P8(x4371,x4372,f43(a41,a1))+P8(f17(x4371),f17(x4372),f43(a41,a1)) % 1.79/1.80 [438]~P8(x4381,x4382,f43(a41,a1))+P8(f18(x4381),f18(x4382),f43(a41,a1)) % 1.79/1.80 [439]~P8(x4391,x4392,f43(a41,a1))+P8(f19(x4391),f19(x4392),f43(a41,a1)) % 1.79/1.80 [440]~P8(x4401,x4402,f43(a41,a1))+P8(f26(x4401),f26(x4402),f43(a42,a1)) % 1.79/1.80 [443]~P6(f32(a28,x4431),f17(x4432),a41)+P6(f32(a28,x4431),x4432,a41) % 1.79/1.80 [445]P8(f17(x4451),f17(x4452),f43(a41,a1))+~P8(x4451,f17(x4452),f43(a41,a1)) % 1.79/1.80 [446]P8(f18(x4461),f18(x4462),f43(a41,a1))+~P8(x4461,f18(x4462),f43(a41,a1)) % 1.79/1.80 [447]P8(f19(x4471),f19(x4472),f43(a41,a1))+~P8(x4471,f19(x4472),f43(a41,a1)) % 1.79/1.80 [452]P8(x4521,f17(x4522),f43(a41,a1))+~P8(f17(x4521),f17(x4522),f43(a41,a1)) % 1.79/1.80 [453]P8(x4531,f18(x4532),f43(a41,a1))+~P8(f18(x4531),f18(x4532),f43(a41,a1)) % 1.79/1.80 [454]P8(x4541,f19(x4542),f43(a41,a1))+~P8(f19(x4541),f19(x4542),f43(a41,a1)) % 1.79/1.80 [597]P6(x5971,x5972,a42)+~P6(f32(a24,x5971),f38(a24,x5972,a42,a42),a42) % 1.79/1.80 [598]P6(x5981,x5982,a42)+~P6(f32(a28,x5981),f38(a28,x5982,a42,a41),a41) % 1.79/1.80 [599]P6(x5991,x5992,a39)+~P6(f32(a33,x5991),f38(a33,x5992,a39,a42),a42) % 1.79/1.80 [357]~P2(x3572)+E(f15(f15(x3571,x3572),x3572),x3571) % 1.79/1.80 [359]~P13(x3592)+E(f15(f15(x3591,x3592),x3592),x3591) % 1.79/1.80 [368]~P1(x3682)+E(f10(x3681,f35(x3682),x3682),f35(x3682)) % 1.79/1.80 [369]~P1(x3691)+E(f10(f35(x3691),x3692,x3691),f35(x3691)) % 1.79/1.80 [371]~P2(x3712)+E(f10(x3711,f15(x3711,x3712),x3712),f35(x3712)) % 1.79/1.80 [372]~P2(x3722)+E(f10(f15(x3721,x3722),x3721,x3722),f35(x3722)) % 1.79/1.80 [407]P6(x4071,f17(x4072),a41)+~P6(x4071,f17(f17(x4072)),a41) % 1.79/1.80 [408]P6(x4081,f18(x4082),a41)+~P6(x4081,f18(f18(x4082)),a41) % 1.79/1.80 [409]P6(x4091,f19(x4092),a41)+~P6(x4091,f19(f19(x4092)),a41) % 1.79/1.80 [441]~P6(x4411,f18(x4412),a41)+E(f18(f37(x4411,x4412,a41)),f18(x4412)) % 1.79/1.80 [442]~P6(x4421,f19(x4422),a41)+E(f19(f37(x4421,x4422,a41)),f19(x4422)) % 1.79/1.80 [458]P6(x4581,f11(x4582),a41)+~P6(x4581,f18(f4(a21,x4582)),a41) % 1.79/1.80 [461]~P6(x4611,a5,a39)+P6(f32(a28,f32(a33,x4611)),f4(a21,x4612),a41) % 1.79/1.80 [462]~P8(x4621,x4622,f43(a41,a1))+P8(f17(f19(x4621)),f17(f19(x4622)),f43(a41,a1)) % 1.79/1.80 [571]P8(f18(f37(x5711,x5712,a41)),f10(f17(f19(x5712)),f18(x5712),f43(a41,a1)),f43(a41,a1))+~P6(x5711,f17(f19(x5712)),a41) % 1.79/1.80 [501]P6(x5011,f26(f19(x5012)),a42)+E(f19(f37(f32(a28,x5011),x5012,a41)),f37(f32(a28,x5011),f19(x5012),a41)) % 1.79/1.80 [518]~P6(x5181,f17(f19(x5182)),a41)+E(f17(f19(f37(x5181,x5182,a41))),f17(f19(x5182))) % 1.79/1.80 [605]P6(f32(a28,x6051),f11(x6052),a41)+~P6(x6051,f38(a33,f35(f43(a39,a1)),a39,a42),a42) % 1.79/1.80 [370]E(x3701,x3702)+~P7(x3701,x3702,x3703) % 1.79/1.80 [351]E(x3511,x3512)+~E(f20(x3511,x3513),f20(x3512,x3513)) % 1.79/1.80 [375]~E(f9(x3753,x3751,x3752),x3753)+E(x3751,f3(x3752)) % 1.79/1.80 [376]~E(f9(x3761,x3763,x3762),x3763)+E(x3761,f3(x3762)) % 1.79/1.80 [380]~E(f9(x3803,x3801,x3802),f3(x3802))+E(x3801,f3(x3802)) % 1.79/1.80 [381]~E(f9(x3811,x3813,x3812),f3(x3812))+E(x3811,f3(x3812)) % 1.79/1.80 [382]P6(x3821,x3822,x3823)+~P17(f32(x3822,x3821)) % 1.79/1.80 [383]~P9(x3833)+E(f10(x3831,x3832,x3833),f10(x3832,x3831,x3833)) % 1.79/1.80 [384]~P10(x3843)+E(f10(x3841,x3842,x3843),f10(x3842,x3841,x3843)) % 1.79/1.80 [385]~P6(x3852,x3851,x3853)+P17(f32(x3851,x3852)) % 1.79/1.80 [388]~P6(x3881,x3882,x3883)+E(f37(x3881,x3882,x3883),x3882) % 1.79/1.80 [402]~P9(x4023)+P8(x4021,f10(x4022,x4021,x4023),x4023) % 1.79/1.80 [403]~P10(x4033)+P8(x4031,f10(x4032,x4031,x4033),x4033) % 1.79/1.80 [404]~P9(x4043)+P8(x4041,f10(x4041,x4042,x4043),x4043) % 1.79/1.80 [405]~P10(x4053)+P8(x4051,f10(x4051,x4052,x4053),x4053) % 1.79/1.80 [423]P6(x4231,f18(x4232),a41)+~P6(f29(x4233,x4231),f18(x4232),a41) % 1.79/1.80 [424]P6(x4241,f18(x4242),a41)+~P6(f30(x4243,x4241),f18(x4242),a41) % 1.79/1.80 [425]P6(x4251,f18(x4252),a41)+~P6(f30(x4251,x4253),f18(x4252),a41) % 1.79/1.80 [426]P6(x4261,f19(x4262),a41)+~P6(f30(x4263,x4261),f19(x4262),a41) % 1.79/1.80 [427]P6(x4271,f19(x4272),a41)+~P6(f30(x4271,x4273),f19(x4272),a41) % 1.79/1.80 [428]P6(x4281,f11(x4282),a41)+~P6(f30(x4283,x4281),f11(x4282),a41) % 1.79/1.80 [429]P6(x4291,f11(x4292),a41)+~P6(f30(x4291,x4293),f11(x4292),a41) % 1.79/1.80 [444]~P6(f29(x4441,x4443),x4442,a41)+P6(f32(a24,x4441),f26(x4442),a42) % 1.79/1.80 [455]P6(x4551,f11(x4552),a41)+~P6(f7(x4553,x4551),f22(x4552,a2),a2) % 1.79/1.80 [468]P6(x4681,f4(x4682,x4683),a41)+~P6(f7(x4682,x4681),f22(x4683,a2),a2) % 1.79/1.80 [387]E(x3871,x3872)+~E(f15(x3871,f43(x3873,a1)),f15(x3872,f43(x3873,a1))) % 1.79/1.80 [417]~E(f20(x4171,x4173),f16(x4172,f3(x4173),x4173))+E(x4171,f16(x4172,f3(x4173),x4173)) % 1.79/1.80 [418]~E(f16(x4182,f3(x4183),x4183),f20(x4181,x4183))+E(x4181,f16(x4182,f3(x4183),x4183)) % 1.79/1.80 [419]P6(x4191,x4192,x4193)+P6(x4191,f15(x4192,f43(x4193,a1)),x4193) % 1.79/1.80 [433]~P8(x4331,x4332,f43(x4333,a1))+E(f10(x4331,x4332,f43(x4333,a1)),x4332) % 1.79/1.80 [434]~P8(x4342,x4341,f43(x4343,a1))+E(f10(x4341,x4342,f43(x4343,a1)),x4341) % 1.79/1.80 [435]P8(x4351,x4352,f43(x4353,a1))+~E(f10(x4351,x4352,f43(x4353,a1)),x4352) % 1.79/1.80 [456]~P9(x4563)+E(f10(x4561,f10(x4561,x4562,x4563),x4563),f10(x4561,x4562,x4563)) % 1.79/1.80 [457]~P10(x4573)+E(f10(x4571,f10(x4571,x4572,x4573),x4573),f10(x4571,x4572,x4573)) % 1.79/1.80 [459]P6(x4591,f17(f19(x4592)),a41)+~P6(f30(x4593,x4591),f17(f19(x4592)),a41) % 1.79/1.80 [460]P6(x4601,f17(f19(x4602)),a41)+~P6(f30(x4601,x4603),f17(f19(x4602)),a41) % 1.79/1.80 [463]~E(f19(x4632),f19(x4633))+E(f19(f37(x4631,x4632,a41)),f19(f37(x4631,x4633,a41))) % 1.79/1.80 [492]~P6(x4921,x4922,x4923)+~P6(x4921,f15(x4922,f43(x4923,a1)),x4923) % 1.79/1.80 [523]~P8(x5233,x5231,f43(x5232,a1))+P8(f15(x5231,f43(x5232,a1)),f15(x5233,f43(x5232,a1)),f43(x5232,a1)) % 1.79/1.80 [528]~P6(x5281,f18(x5283),a41)+P6(x5281,f18(f37(x5282,x5283,a41)),a41) % 1.79/1.80 [529]~P6(x5291,f19(x5293),a41)+P6(x5291,f19(f37(x5292,x5293,a41)),a41) % 1.79/1.80 [550]P8(x5501,x5502,f43(x5503,a1))+~P8(f15(x5502,f43(x5503,a1)),f15(x5501,f43(x5503,a1)),f43(x5503,a1)) % 1.79/1.80 [562]~P6(x5621,x5623,a41)+P8(f18(f37(x5621,x5622,a41)),f10(f18(x5623),f18(x5622),f43(a41,a1)),f43(a41,a1)) % 1.79/1.80 [609]P8(f19(f37(x6091,x6092,a41)),f10(f17(f19(x6093)),f19(f10(x6093,x6092,f43(a41,a1))),f43(a41,a1)),f43(a41,a1))+~P6(x6091,f17(f19(x6093)),a41) % 1.79/1.80 [465]P6(x4651,a5,a39)+E(f4(a21,f16(f7(x4651,x4652),x4653,a2)),f4(a21,x4653)) % 1.79/1.80 [475]E(x4751,a21)+E(f4(x4751,f16(f6(x4751,x4752),x4753,a2)),f37(x4752,f4(x4751,x4753),a41)) % 1.79/1.80 [476]P6(x4761,f11(x4762),a41)+~P6(x4761,f18(f4(x4763,f3(a2))),a41) % 1.79/1.80 [512]~P6(x5121,a5,a39)+E(f4(a21,f16(f7(x5121,x5122),x5123,a2)),f37(x5122,f4(a21,x5123),a41)) % 1.79/1.80 [535]P6(f32(a28,f32(a24,x5351)),f19(x5353),a41)+E(f19(f37(f29(x5351,x5352),x5353,a41)),f37(f29(x5351,x5352),f19(x5353),a41)) % 1.79/1.80 [554]~P6(x5541,f19(x5543),a41)+P6(x5541,f19(f10(x5542,x5543,f43(a41,a1))),a41) % 1.79/1.80 [579]~P6(f32(a28,f32(a24,x5791)),f19(x5793),a41)+E(f37(f29(x5791,x5792),f19(f37(x5792,x5793,a41)),a41),f19(f37(f29(x5791,x5792),x5793,a41))) % 1.79/1.80 [608]P8(f37(f29(x6081,x6082),f19(f37(x6082,x6083,a41)),a41),f19(f37(f29(x6081,x6082),x6083,a41)),f43(a41,a1))+~P6(f32(a28,f32(a24,x6081)),f19(x6083),a41) % 1.79/1.80 [621]~P6(x6212,x6213,a39)+P6(f32(a24,f32(f36(x6211),x6212)),f38(a24,f38(f36(x6211),x6213,a39,a42),a42,a42),a42) % 1.79/1.80 [628]~P6(x6281,x6282,a42)+P6(f32(a28,x6281),f19(f10(f38(a28,x6282,a42,a41),x6283,f43(a41,a1))),a41) % 1.79/1.80 [536]~P6(x5362,a5,a39)+P6(f32(a28,f32(a24,f32(f36(x5361),x5362))),f4(a21,x5363),a41) % 1.79/1.80 [559]P6(x5592,a5,a39)+E(f4(a21,f9(x5591,f16(f7(x5592,x5593),f3(a2),a2),a2)),f4(a21,x5591)) % 1.79/1.80 [572]~P6(x5722,a5,a39)+E(f4(a21,f9(x5721,f16(f7(x5722,x5723),f3(a2),a2),a2)),f37(x5723,f4(a21,x5721),a41)) % 1.79/1.80 [346]E(x3461,x3462)+~E(f6(x3463,x3461),f6(x3464,x3462)) % 1.79/1.80 [347]E(x3471,x3472)+~E(f29(x3473,x3471),f29(x3474,x3472)) % 1.79/1.80 [348]E(x3481,x3482)+~E(f7(x3483,x3481),f7(x3484,x3482)) % 1.79/1.80 [349]E(x3491,x3492)+~E(f30(x3493,x3491),f30(x3494,x3492)) % 1.79/1.80 [350]E(x3501,x3502)+~E(f6(x3501,x3503),f6(x3502,x3504)) % 1.79/1.80 [352]E(x3521,x3522)+~E(f29(x3521,x3523),f29(x3522,x3524)) % 1.79/1.80 [353]E(x3531,x3532)+~E(f7(x3531,x3533),f7(x3532,x3534)) % 1.79/1.80 [354]E(x3541,x3542)+~E(f30(x3541,x3543),f30(x3542,x3544)) % 1.79/1.80 [413]E(x4131,x4132)+~E(f9(x4133,x4131,x4134),f9(x4133,x4132,x4134)) % 1.79/1.80 [414]E(x4141,x4142)+~E(f9(x4141,x4143,x4144),f9(x4142,x4143,x4144)) % 1.79/1.80 [474]~P6(x4741,x4743,x4744)+P6(x4741,f37(x4742,x4743,x4744),x4744) % 1.79/1.80 [500]~P8(x5001,x5003,f43(x5004,a1))+P8(x5001,f37(x5002,x5003,x5004),f43(x5004,a1)) % 1.79/1.80 [526]P6(x5261,x5262,x5263)+~P8(f37(x5261,x5264,x5263),x5262,f43(x5263,a1)) % 1.79/1.80 [527]P6(x5271,f11(x5272),a41)+~P6(f8(x5273,x5274,x5271),f22(x5272,a2),a2) % 1.79/1.80 [532]P6(x5321,f4(a21,x5322),a41)+~P6(f8(x5323,x5324,x5321),f22(x5322,a2),a2) % 1.79/1.80 [533]P6(x5331,f4(x5332,x5333),a41)+~P6(f8(x5332,x5334,x5331),f22(x5333,a2),a2) % 1.79/1.80 [534]~P8(f37(x5344,x5341,x5343),x5342,f43(x5343,a1))+P8(x5341,x5342,f43(x5343,a1)) % 1.79/1.80 [544]~P8(x5442,x5444,f43(x5443,a1))+P8(f37(x5441,x5442,x5443),f37(x5441,x5444,x5443),f43(x5443,a1)) % 1.79/1.80 [365]E(x3651,x3652)+~E(f32(f36(x3653),x3651),f32(f36(x3654),x3652)) % 1.79/1.80 [366]E(x3661,x3662)+~E(f32(f36(x3661),x3663),f32(f36(x3662),x3664)) % 1.79/1.80 [496]~P17(f32(x4962,x4964))+P17(f32(f37(x4961,x4962,x4963),x4964)) % 1.79/1.80 [497]~P6(x4971,x4973,x4974)+P6(x4971,f10(x4972,x4973,f43(x4974,a1)),x4974) % 1.79/1.80 [498]~P6(x4981,x4982,x4984)+P6(x4981,f10(x4982,x4983,f43(x4984,a1)),x4984) % 1.79/1.80 [514]~P9(x5144)+E(f10(x5141,f10(x5142,x5143,x5144),x5144),f10(x5142,f10(x5141,x5143,x5144),x5144)) % 1.79/1.80 [515]~P10(x5154)+E(f10(x5151,f10(x5152,x5153,x5154),x5154),f10(x5152,f10(x5151,x5153,x5154),x5154)) % 1.79/1.80 [516]~P9(x5163)+E(f10(f10(x5161,x5162,x5163),x5164,x5163),f10(x5161,f10(x5162,x5164,x5163),x5163)) % 1.79/1.80 [517]~P10(x5173)+E(f10(f10(x5171,x5172,x5173),x5174,x5173),f10(x5171,f10(x5172,x5174,x5173),x5173)) % 1.79/1.80 [539]~P6(f8(x5393,x5394,x5391),f22(x5392,a2),a2)+P6(x5391,f18(f4(a21,x5392)),a41) % 1.79/1.80 [540]~P6(f8(x5403,x5404,x5401),f22(x5402,a2),a2)+P6(x5401,f19(f4(a21,x5402)),a41) % 1.79/1.80 [552]P8(x5521,x5522,f43(x5523,a1))+~P8(f10(x5524,x5521,f43(x5523,a1)),x5522,f43(x5523,a1)) % 1.79/1.80 [553]P8(x5531,x5532,f43(x5533,a1))+~P8(f10(x5531,x5534,f43(x5533,a1)),x5532,f43(x5533,a1)) % 1.79/1.80 [596]E(x5961,x5962)+~P6(f32(f36(x5961),x5963),f38(f36(x5962),x5964,a39,a42),a42) % 1.79/1.80 [602]P6(x6021,x6022,a39)+~P6(f32(f36(x6023),x6021),f38(f36(x6024),x6022,a39,a42),a42) % 1.79/1.80 [616]~P5(x6161,x6162,x6163,x6164)+P6(f8(x6161,x6162,f49(x6161,x6162,x6163,x6164)),f22(x6164,a2),a2) % 1.79/1.80 [502]~E(f20(x5021,x5023),f16(x5024,x5022,x5023))+E(x5021,f9(f20(x5022,x5023),f16(x5024,f3(x5023),x5023),x5023)) % 1.79/1.80 [537]~P17(f32(x5372,x5374))+P17(f32(f10(x5371,x5372,f43(x5373,a1)),x5374)) % 1.79/1.80 [538]~P17(f32(x5381,x5384))+P17(f32(f10(x5381,x5382,f43(x5383,a1)),x5384)) % 1.79/1.80 [633]E(x6331,x6332)+~P6(f32(a24,f32(f36(x6331),x6333)),f38(a24,f38(f36(x6332),x6334,a39,a42),a42,a42),a42) % 1.79/1.80 [634]P6(x6341,x6342,a39)+~P6(f32(a24,f32(f36(x6343),x6341)),f38(a24,f38(f36(x6344),x6342,a39,a42),a42,a42),a42) % 1.79/1.80 [593]~P6(x5931,f19(f4(a21,x5934)),a41)+P6(x5931,f19(f4(a21,f16(f6(x5932,x5933),x5934,a2))),a41) % 1.79/1.80 [594]~P6(x5941,f19(f4(a21,x5944)),a41)+P6(x5941,f19(f4(a21,f16(f7(x5942,x5943),x5944,a2))),a41) % 1.79/1.80 [412]E(x4121,x4122)+~E(f16(x4123,x4121,x4124),f16(x4125,x4122,x4124)) % 1.79/1.80 [416]E(x4161,x4162)+~E(f16(x4161,x4163,x4164),f16(x4162,x4165,x4164)) % 1.79/1.80 [583]~P6(x5832,x5833,x5834)+P6(f32(x5831,x5832),f38(x5831,x5833,x5834,x5835),x5835) % 1.79/1.80 [611]~P8(x6112,x6115,f43(x6113,a1))+P8(f38(x6111,x6112,x6113,x6114),f38(x6111,x6115,x6113,x6114),f43(x6114,a1)) % 1.79/1.80 [595]~P6(x5952,x5953,x5954)+E(f37(f32(x5951,x5952),f38(x5951,x5953,x5954,x5955),x5955),f38(x5951,x5953,x5954,x5955)) % 1.79/1.80 [564]E(x5641,x5642)+~E(f9(x5643,f16(x5641,f3(x5644),x5644),x5644),f9(x5645,f16(x5642,f3(x5644),x5644),x5644)) % 1.79/1.80 [565]E(x5651,x5652)+~E(f9(x5651,f16(x5653,f3(x5654),x5654),x5654),f9(x5652,f16(x5655,f3(x5654),x5654),x5654)) % 1.79/1.80 [615]~P6(x6151,f19(f4(a21,x6155)),a41)+P6(x6151,f19(f4(a21,f16(f8(x6152,x6153,x6154),x6155,a2))),a41) % 1.79/1.80 [410]E(x4101,x4102)+~E(f8(x4103,x4104,x4101),f8(x4105,x4106,x4102)) % 1.79/1.80 [411]E(x4111,x4112)+~E(f8(x4113,x4111,x4114),f8(x4115,x4112,x4116)) % 1.79/1.80 [415]E(x4151,x4152)+~E(f8(x4151,x4153,x4154),f8(x4152,x4155,x4156)) % 1.79/1.80 [622]P6(x6221,f18(f4(a21,x6222)),a41)+~P6(f8(a23,x6223,f29(f32(a33,x6223),f30(x6224,f30(x6225,f30(x6221,x6226))))),f22(x6222,a2),a2) % 1.79/1.80 [618]P6(x6181,f18(f4(a21,x6182)),a41)+~P6(f8(x6183,x6184,f29(x6185,f30(x6186,f30(x6187,f30(x6188,x6181))))),f22(x6182,a2),a2) % 1.79/1.80 [524]~P6(x5241,a5,a39)+~P6(x5242,a34,f40(a2))+P6(f32(a28,f32(a33,x5241)),f18(f4(a21,x5242)),a41) % 1.79/1.80 [525]~P6(x5251,a5,a39)+~P6(x5252,a34,f40(a2))+P6(f32(a28,f32(a33,x5251)),f19(f4(a21,x5252)),a41) % 1.79/1.80 [545]P6(x5451,a5,a39)+~P6(x5452,a34,f40(a2))+~P6(f32(a28,f32(a33,x5451)),f18(f4(a21,x5452)),a41) % 1.79/1.80 [546]P6(x5461,a5,a39)+~P6(x5462,a34,f40(a2))+~P6(f32(a28,f32(a33,x5461)),f19(f4(a21,x5462)),a41) % 1.79/1.80 [612]~P6(x6122,a34,f40(a2))+P6(x6121,f38(a33,f35(f43(a39,a1)),a39,a42),a42)+P6(f32(a28,x6121),f19(f37(f32(a28,x6121),f4(a21,x6122),a41)),a41) % 1.79/1.80 [386]P8(x3862,x3861,x3863)+~P12(x3863)+P8(x3861,x3862,x3863) % 1.79/1.80 [360]~P2(x3603)+E(x3601,x3602)+~E(f15(x3601,x3603),f15(x3602,x3603)) % 1.79/1.80 [361]~P13(x3613)+E(x3611,x3612)+~E(f15(x3611,x3613),f15(x3612,x3613)) % 1.79/1.80 [392]~P9(x3923)+~P8(x3921,x3922,x3923)+E(f10(x3921,x3922,x3923),x3922) % 1.79/1.80 [393]~P9(x3933)+~P8(x3932,x3931,x3933)+E(f10(x3931,x3932,x3933),x3931) % 1.79/1.80 [394]~P9(x3943)+P8(x3941,x3942,x3943)+~E(f10(x3941,x3942,x3943),x3942) % 1.79/1.80 [430]~P14(x4302)+~P8(x4303,x4301,x4302)+P8(f15(x4301,x4302),f15(x4303,x4302),x4302) % 1.79/1.80 [449]~P14(x4493)+~P8(x4492,f15(x4491,x4493),x4493)+P8(x4491,f15(x4492,x4493),x4493) % 1.79/1.80 [451]~P14(x4512)+~P8(f15(x4513,x4512),x4511,x4512)+P8(f15(x4511,x4512),x4513,x4512) % 1.79/1.80 [464]~P14(x4643)+P8(x4641,x4642,x4643)+~P8(f15(x4642,x4643),f15(x4641,x4643),x4643) % 1.79/1.80 [470]E(x4701,a21)+P6(x4702,f4(x4701,x4703),a41)+~P6(f6(x4701,x4702),f22(x4703,a2),a2) % 1.79/1.80 [472]E(x4721,x4722)+~P8(x4721,x4722,f43(x4723,a1))+~P8(x4722,x4721,f43(x4723,a1)) % 1.79/1.80 [483]~P6(x4831,a31,a42)+P6(x4831,f26(x4832),a42)+~P6(f29(x4831,x4833),x4832,a41) % 1.79/1.80 [484]P6(f30(x4841,x4842),f17(x4843),a41)+~P6(x4842,f17(x4843),a41)+~P6(x4841,f17(x4843),a41) % 1.79/1.80 [485]P6(x4851,f17(x4852),a41)+P6(f29(x4853,x4851),x4852,a41)+~P6(f29(x4853,x4851),f17(x4852),a41) % 1.79/1.80 [486]P6(x4861,f17(x4862),a41)+P6(f30(x4863,x4861),x4862,a41)+~P6(f30(x4863,x4861),f17(x4862),a41) % 1.79/1.80 [487]P6(x4871,f17(x4872),a41)+P6(f30(x4871,x4873),x4872,a41)+~P6(f30(x4871,x4873),f17(x4872),a41) % 1.79/1.80 [488]~P8(x4883,f17(x4882),f43(a41,a1))+P6(x4881,f17(x4882),a41)+~P6(x4881,f17(x4883),a41) % 1.79/1.80 [489]~P8(x4893,f18(x4892),f43(a41,a1))+P6(x4891,f18(x4892),a41)+~P6(x4891,f18(x4893),a41) % 1.79/1.80 [490]~P8(x4903,f19(x4902),f43(a41,a1))+P6(x4901,f19(x4902),a41)+~P6(x4901,f19(x4903),a41) % 1.79/1.80 [495]~P6(f29(x4951,x4952),f17(x4953),a41)+P6(f29(x4951,x4952),x4953,a41)+P6(f32(a28,x4951),x4953,a41) % 1.79/1.80 [499]P6(f29(x4991,x4992),f17(x4993),a41)+~P6(x4992,f17(x4993),a41)+~P6(f32(a28,x4991),x4993,a41) % 1.79/1.80 [508]~P6(x5083,a5,a39)+~P6(f7(x5083,x5081),f22(x5082,a2),a2)+P6(x5081,f4(a21,x5082),a41) % 1.79/1.80 [511]~P8(x5113,x5112,f43(a41,a1))+~P6(x5111,f19(x5113),a41)+E(f19(f37(x5111,x5112,a41)),f19(x5112)) % 1.79/1.80 [542]P6(x5421,f19(x5422),a41)+~P6(f29(x5423,x5421),f19(x5422),a41)+~P6(f32(a28,f32(a24,x5423)),f19(x5422),a41) % 1.79/1.80 [555]~P6(x5553,a5,a39)+P6(x5551,f19(f4(a21,x5552)),a41)+~P6(f29(f32(a33,x5553),x5551),f19(f4(a21,x5552)),a41) % 1.79/1.80 [556]P6(x5561,f19(x5562),a41)+~P6(f29(f32(a33,x5563),x5561),f19(x5562),a41)+~P6(f32(a28,f32(a33,x5563)),f19(x5562),a41) % 1.79/1.80 [567]P6(x5671,f17(x5672),a41)+~P6(x5673,f17(x5672),a41)+~P6(x5671,f17(f37(x5673,x5672,a41)),a41) % 1.79/1.80 [568]P6(x5681,f19(x5682),a41)+~P6(x5683,f19(x5682),a41)+~P6(x5681,f19(f37(x5683,x5682,a41)),a41) % 1.79/1.80 [588]P6(x5881,f10(f17(f19(x5882)),f18(x5882),f43(a41,a1)),a41)+~P6(x5883,f17(f19(x5882)),a41)+~P6(x5881,f18(f37(x5883,x5882,a41)),a41) % 1.79/1.80 [569]~P4(x5693)+~P6(x5692,f17(f19(f4(a21,x5693))),a41)+P4(f16(f8(a21,x5691,x5692),x5693,a2)) % 1.79/1.80 [584]P6(x5841,f18(x5842),a41)+P6(x5841,f18(x5843),a41)+~P6(x5841,f18(f10(x5842,x5843,f43(a41,a1))),a41) % 1.79/1.80 [586]~P6(x5863,a34,f40(a2))+P6(f16(f8(a21,x5861,x5862),x5863,a2),a34,f40(a2))+~P6(x5862,f17(f19(f4(a21,x5863))),a41) % 1.79/1.80 [432]~P8(x4323,x4321,f43(x4324,a1))+P17(f32(x4321,x4322))+~P17(f32(x4323,x4322)) % 1.79/1.80 [477]~P9(x4774)+~P8(x4771,x4773,x4774)+P8(x4771,f10(x4772,x4773,x4774),x4774) % 1.79/1.80 [478]~P9(x4784)+~P8(x4781,x4782,x4784)+P8(x4781,f10(x4782,x4783,x4784),x4784) % 1.79/1.80 [482]P6(x4821,x4822,x4823)+~P6(x4821,x4824,x4823)+~P8(x4824,x4822,f43(x4823,a1)) % 1.79/1.80 [503]E(x5031,x5032)+P6(x5031,x5033,x5034)+~P6(x5031,f37(x5032,x5033,x5034),x5034) % 1.79/1.80 [505]~P9(x5053)+P8(x5051,x5052,x5053)+~P8(f10(x5054,x5051,x5053),x5052,x5053) % 1.79/1.80 [507]~P9(x5073)+P8(x5071,x5072,x5073)+~P8(f10(x5071,x5074,x5073),x5072,x5073) % 1.79/1.80 [509]~P8(x5091,x5094,f43(x5093,a1))+~P8(x5094,x5092,f43(x5093,a1))+P8(x5091,x5092,f43(x5093,a1)) % 1.79/1.80 [541]~P6(x5411,x5414,x5413)+~P8(x5412,x5414,f43(x5413,a1))+P8(f37(x5411,x5412,x5413),x5414,f43(x5413,a1)) % 1.79/1.80 [549]P6(x5491,x5492,x5493)+~P8(x5492,f37(x5491,x5494,x5493),f43(x5493,a1))+P8(x5492,x5494,f43(x5493,a1)) % 1.79/1.80 [547]E(x5471,x5472)+P17(f32(x5473,x5471))+~P17(f32(f37(x5472,x5473,x5474),x5471)) % 1.79/1.80 [551]P6(x5511,x5512,x5513)+P6(x5511,x5514,x5513)+~P6(x5511,f10(x5512,x5514,f43(x5513,a1)),x5513) % 1.79/1.80 [558]~P8(x5581,x5584,f43(x5583,a1))+~P8(x5582,x5584,f43(x5583,a1))+P8(f10(x5581,x5582,f43(x5583,a1)),x5584,f43(x5583,a1)) % 1.79/1.80 [563]E(x5631,x5632)+P6(x5631,f22(x5633,x5634),x5634)+~P6(x5631,f22(f16(x5632,x5633,x5634),x5634),x5634) % 1.79/1.80 [513]~E(f19(x5131),f19(x5133))+~E(f19(x5132),f19(x5134))+E(f19(f10(x5131,x5132,f43(a41,a1))),f19(f10(x5133,x5134,f43(a41,a1)))) % 1.79/1.80 [570]P17(f32(x5701,x5702))+P17(f32(x5703,x5702))+~P17(f32(f10(x5701,x5703,f43(x5704,a1)),x5702)) % 1.79/1.80 [592]~P6(x5924,f18(x5923),a41)+~P6(x5921,f18(f37(x5924,x5922,a41)),a41)+P6(x5921,f18(f10(x5922,x5923,f43(a41,a1))),a41) % 1.79/1.80 [601]~P8(f19(x6012),f19(x6014),f43(a41,a1))+~P8(f19(x6011),f19(x6013),f43(a41,a1))+P8(f19(f10(x6011,x6012,f43(a41,a1))),f19(f10(x6013,x6014,f43(a41,a1))),f43(a41,a1)) % 1.79/1.80 [600]~P4(x6002)+P6(f27(x6001),f11(x6002),a41)+P4(f16(f8(x6003,a23,f30(f25(x6003),f30(f25(x6004),f27(x6001)))),x6002,a2)) % 1.79/1.80 [606]P6(f27(x6061),f11(x6062),a41)+~P6(x6062,a34,f40(a2))+P6(f16(f8(x6063,a23,f30(f25(x6063),f30(f25(x6064),f27(x6061)))),x6062,a2),a34,f40(a2)) % 1.79/1.80 [469]~P3(x4694)+P8(f32(x4691,x4692),f32(x4693,x4692),x4694)+~P8(x4691,x4693,f43(x4695,x4694)) % 1.79/1.80 [573]~P8(x5731,x5734,f43(x5733,a1))+~P8(x5732,x5735,f43(x5733,a1))+P8(f10(x5731,x5732,f43(x5733,a1)),f10(x5734,x5735,f43(x5733,a1)),f43(x5733,a1)) % 1.79/1.80 [604]~P6(x6042,x6045,x6046)+P6(f32(x6041,x6042),x6043,x6044)+~P8(f38(x6041,x6045,x6046,x6044),x6043,f43(x6044,a1)) % 1.79/1.80 [637]E(x6371,f32(a33,x6372))+~P6(x6373,a34,f40(a2))+~P6(f8(a23,x6372,f29(x6371,f30(x6374,f30(f25(x6375),f30(f32(a28,x6376),x6377))))),f22(x6373,a2),a2) % 1.79/1.80 [638]~P6(x6385,a34,f40(a2))+E(x6381,f29(f32(a33,x6382),f30(f32(a28,x6383),f25(x6384))))+~P6(f8(a23,x6384,f29(x6386,f30(x6387,f30(f25(x6382),f30(f32(a28,x6383),x6381))))),f22(x6385,a2),a2) % 1.79/1.80 [644]~P6(x6441,a34,f40(a2))+~P6(x6442,f38(a33,f35(f43(a39,a1)),a39,a42),a42)+~P6(f8(a23,x6443,f29(x6444,f30(x6445,f30(f25(x6446),f30(f32(a28,x6442),x6447))))),f22(x6441,a2),a2) % 1.79/1.80 [574]~P6(x5741,f4(a21,x5742),a41)+P6(f8(f12(x5741,x5742),f13(x5741,x5742),x5741),f22(x5742,a2),a2)+P6(f7(f12(x5741,x5742),x5741),f22(x5742,a2),a2)+P6(x5741,f4(a21,f3(a2)),a41) % 1.79/1.80 [560]~P6(x5601,a31,a42)+P6(f32(a28,x5601),f11(x5602),a41)+~P6(x5602,a34,f40(a2))+~P6(x5601,f26(f18(f4(a21,x5602))),a42) % 1.79/1.80 [422]~P8(x4222,x4221,x4223)+~P8(x4221,x4222,x4223)+E(x4221,x4222)+~P11(x4223) % 1.79/1.80 [543]~P6(f29(x5433,x5431),f19(x5432),a41)+P6(x5431,f19(x5432),a41)+~P6(x5433,a31,a42)+~P6(f32(a28,x5433),f19(x5432),a41) % 1.79/1.80 [566]~P6(f32(a28,x5663),f19(x5662),a41)+~P6(f29(x5663,x5661),f17(f19(x5662)),a41)+P6(x5661,f17(f19(x5662)),a41)+~P6(f32(a28,f32(a24,x5663)),f19(x5662),a41) % 1.79/1.80 [466]~P11(x4663)+~P8(x4661,x4664,x4663)+P8(x4661,x4662,x4663)+~P8(x4664,x4662,x4663) % 1.79/1.80 [467]~P16(x4673)+~P8(x4671,x4674,x4673)+P8(x4671,x4672,x4673)+~P8(x4674,x4672,x4673) % 1.79/1.80 [491]P6(x4913,x4911,x4914)+E(x4911,x4912)+P6(x4913,x4912,x4914)+~E(f37(x4913,x4911,x4914),f37(x4913,x4912,x4914)) % 1.79/1.80 [521]~P9(x5213)+~P8(x5212,x5214,x5213)+~P8(x5211,x5214,x5213)+P8(f10(x5211,x5212,x5213),x5214,x5213) % 1.79/1.80 [587]~P8(x5873,x5872,f43(a41,a1))+P6(f32(a28,x5871),f19(x5872),a41)+~P6(x5874,f17(f19(x5873)),a41)+~P6(f32(a28,x5871),f19(f37(x5874,x5872,a41)),a41) % 1.79/1.80 [619]~P6(x6194,f17(f19(x6192)),a41)+P6(f32(a28,f32(a24,x6191)),f18(x6192),a41)+~P6(x6191,f26(f18(f37(x6194,x6193,a41))),a42)+P6(x6191,f26(f18(f10(x6193,x6192,f43(a41,a1)))),a42) % 1.79/1.80 [660]P6(x6601,a5,a39)+~P6(x6604,a34,f40(a2))+~P6(f29(f32(a33,x6601),f30(f32(a28,x6603),f25(x6602))),f18(f4(a21,x6604)),a41)+P6(f8(a23,x6602,f29(f32(a33,x6602),f30(f52(x6602,x6601,x6603,x6604),f30(f25(x6601),f30(f32(a28,x6603),f29(f32(a33,x6601),f30(f32(a28,x6603),f25(x6602)))))))),f22(x6604,a2),a2) % 1.79/1.80 [623]P6(x6234,a5,a39)+~P6(x6235,a34,f40(a2))+E(x6231,f29(f32(a33,x6232),f30(f32(a28,x6233),f25(x6234))))+~P6(f29(f32(a33,x6234),f30(x6236,f30(f25(x6232),f30(f32(a28,x6233),x6231)))),f18(f4(a21,x6235)),a41) % 1.79/1.80 [635]P6(x6351,a5,a39)+~P6(x6352,a34,f40(a2))+~P6(x6353,f38(a33,f35(f43(a39,a1)),a39,a42),a42)+~P6(f29(f32(a33,x6351),f30(x6354,f30(f25(x6355),f30(f32(a28,x6353),x6356)))),f18(f4(a21,x6352)),a41) % 1.79/1.80 [641]P6(x6411,a5,a39)+~P6(x6416,a34,f40(a2))+~P6(f29(f32(a33,x6411),f30(x6412,f30(f25(x6413),f30(f32(a28,x6414),x6415)))),f18(f4(a21,x6416)),a41)+P6(f8(a23,x6411,f29(f32(a33,x6411),f30(x6412,f30(f25(x6413),f30(f32(a28,x6414),x6415))))),f22(x6416,a2),a2) % 1.79/1.80 [639]~P6(x6395,a34,f40(a2))+P6(x6391,f19(f4(a21,x6395)),a41)+E(x6391,f29(f32(a33,x6392),f30(f32(a28,x6393),f25(x6394))))+~P6(f8(x6396,x6394,f29(f32(a33,x6394),f30(f27(x6397),f30(f25(x6392),f30(f32(a28,x6393),x6391))))),f22(x6395,a2),a2) % 1.79/1.80 [646]~P6(x6462,a34,f40(a2))+P6(x6461,f19(f4(a21,x6462)),a41)+~P6(x6463,f38(a33,f35(f43(a39,a1)),a39,a42),a42)+~P6(f8(x6464,x6465,f29(f32(a33,x6465),f30(f27(x6466),f30(f25(x6467),f30(f32(a28,x6463),x6461))))),f22(x6462,a2),a2) % 1.79/1.80 [649]~P4(x6494)+~P6(f8(x6495,x6496,f29(x6493,f27(x6492))),f22(x6494,a2),a2)+~P6(f8(a23,x6496,f29(f32(a33,x6496),f30(f27(x6491),f30(f25(x6495),f30(f32(a28,x6493),x6497))))),f22(x6494,a2),a2)+P4(f16(f7(a21,f30(f27(x6491),f30(f27(x6492),f32(a28,x6493)))),x6494,a2)) % 1.79/1.80 [652]~P6(x6524,a34,f40(a2))+~P6(f8(x6525,x6526,f29(x6523,f27(x6522))),f22(x6524,a2),a2)+P6(f16(f7(a21,f30(f27(x6521),f30(f27(x6522),f32(a28,x6523)))),x6524,a2),a34,f40(a2))+~P6(f8(a23,x6526,f29(f32(a33,x6526),f30(f27(x6521),f30(f25(x6525),f30(f32(a28,x6523),x6527))))),f22(x6524,a2),a2) % 1.79/1.80 [655]E(x6551,x6552)+~P6(x6553,a34,f40(a2))+~P6(f8(a23,x6558,f29(f32(a33,x6558),f30(x6559,f30(f25(x65510),f30(f32(a28,x6557),x6552))))),f22(x6553,a2),a2)+~P6(f8(a23,x6554,f29(f32(a33,x6554),f30(x6555,f30(f25(x6556),f30(f32(a28,x6557),x6551))))),f22(x6553,a2),a2) % 1.79/1.80 [656]E(x6561,x6562)+~P6(x6563,a34,f40(a2))+~P6(f8(a23,x6568,f29(f32(a33,x6568),f30(x6569,f30(f25(x6562),f30(f32(a28,x6566),x65610))))),f22(x6563,a2),a2)+~P6(f8(a23,x6564,f29(f32(a33,x6564),f30(x6565,f30(f25(x6561),f30(f32(a28,x6566),x6567))))),f22(x6563,a2),a2) % 1.79/1.80 [657]E(x6571,x6572)+~P6(x6573,a34,f40(a2))+~P6(f8(a23,x6578,f29(f32(a33,x6578),f30(x6572,f30(f25(x6579),f30(f32(a28,x6576),x65710))))),f22(x6573,a2),a2)+~P6(f8(a23,x6574,f29(f32(a33,x6574),f30(x6571,f30(f25(x6575),f30(f32(a28,x6576),x6577))))),f22(x6573,a2),a2) % 1.79/1.80 [658]E(x6581,x6582)+~P6(x6583,a34,f40(a2))+~P6(f8(a23,x6581,f29(f32(a33,x6581),f30(x6588,f30(f25(x6589),f30(f32(a28,x6586),x65810))))),f22(x6583,a2),a2)+~P6(f8(a23,x6582,f29(f32(a33,x6582),f30(x6584,f30(f25(x6585),f30(f32(a28,x6586),x6587))))),f22(x6583,a2),a2) % 1.79/1.80 [617]E(x6171,x6172)+~P6(x6173,a34,f40(a2))+P6(f32(a28,x6171),f19(f4(a21,x6173)),a41)+P6(x6172,f38(a33,f35(f43(a39,a1)),a39,a42),a42)+~P6(f32(a28,x6171),f19(f37(f32(a28,x6172),f4(a21,x6173),a41)),a41) % 1.79/1.80 [659]P6(x6591,x6592,a42)+~P8(x6592,f15(f38(a33,f35(f43(a39,a1)),a39,a42),f43(a42,a1)),f43(a42,a1))+~P6(x6593,a34,f40(a2))+P6(f32(a28,x6591),f19(f4(a21,x6593)),a41)+~P6(f32(a28,x6591),f19(f10(f38(a28,x6592,a42,a41),f4(a21,x6593),f43(a41,a1))),a41) % 1.79/1.80 [620]~P4(x6202)+~P6(x6205,a31,a42)+P6(f27(x6201),f11(x6202),a41)+~P6(f8(x6206,x6203,f29(f32(a33,x6203),f30(f32(a28,x6205),f25(x6204)))),f22(x6202,a2),a2)+P4(f16(f8(x6203,x6204,f29(x6205,f27(x6201))),x6202,a2)) % 1.79/1.80 [624]~P6(x6245,a31,a42)+P6(f27(x6241),f11(x6242),a41)+~P6(x6242,a34,f40(a2))+~P6(f8(x6246,x6243,f29(f32(a33,x6243),f30(f32(a28,x6245),f25(x6244)))),f22(x6242,a2),a2)+P6(f16(f8(x6243,x6244,f29(x6245,f27(x6241))),x6242,a2),a34,f40(a2)) % 1.79/1.80 [663]~P4(x6632)+~P6(x6631,a31,a42)+P6(f32(a28,x6631),f11(x6632),a41)+~P6(f8(x6636,a23,f30(f25(x6633),f30(f25(x6635),f27(x6634)))),f22(x6632,a2),a2)+P4(f16(f8(a23,x6633,f29(f32(a33,x6633),f30(f27(x6634),f30(f25(x6635),f30(f32(a28,x6631),f29(f32(a33,x6635),f30(f32(a28,x6631),f25(x6633)))))))),x6632,a2)) % 1.79/1.80 [664]~P6(x6641,a31,a42)+P6(f32(a28,x6641),f11(x6642),a41)+~P6(x6642,a34,f40(a2))+~P6(f8(x6646,a23,f30(f25(x6643),f30(f25(x6645),f27(x6644)))),f22(x6642,a2),a2)+P6(f16(f8(a23,x6643,f29(f32(a33,x6643),f30(f27(x6644),f30(f25(x6645),f30(f32(a28,x6641),f29(f32(a33,x6645),f30(f32(a28,x6641),f25(x6643)))))))),x6642,a2),a34,f40(a2)) % 1.79/1.80 [642]~P6(x6422,a34,f40(a2))+~P6(f29(x6421,f27(x6425)),f18(f4(a21,x6422)),a41)+P6(f32(a28,x6421),f19(f4(a21,x6422)),a41)+P6(f8(x6423,x6424,f29(x6421,f27(x6425))),f22(x6422,a2),a2)+~P6(f8(a23,x6424,f29(f32(a33,x6424),f30(x6426,f30(f25(x6423),f30(f32(a28,x6421),x6427))))),f22(x6422,a2),a2) % 1.79/1.80 [643]~P6(x6432,a34,f40(a2))+~P6(f29(x6431,f27(x6435)),f18(f4(a21,x6432)),a41)+P6(f8(f54(x6433,x6434,x6432),x6433,x6434),f22(x6432,a2),a2)+P6(f32(a28,x6431),f19(f4(a21,x6432)),a41)+~P6(f8(a23,x6436,f29(f32(a33,x6436),f30(x6437,f30(f25(x6433),f30(f32(a28,x6431),x6434))))),f22(x6432,a2),a2) % 1.79/1.80 [645]~P4(x6454)+E(x6451,a23)+~P6(f8(x6451,a23,f30(f25(x6451),f30(f25(x6452),f27(x6455)))),f22(x6454,a2),a2)+P4(f16(f8(x6451,x6452,x6453),x6454,a2))+~P6(f8(x6456,x6451,f29(f32(a33,x6451),f30(f27(x6455),f30(f25(x6452),f30(f32(a28,x6457),x6453))))),f22(x6454,a2),a2) % 1.79/1.80 [647]E(x6471,a23)+~P6(x6474,a34,f40(a2))+P6(f16(f8(x6471,x6472,x6473),x6474,a2),a34,f40(a2))+~P6(f8(x6471,a23,f30(f25(x6471),f30(f25(x6472),f27(x6475)))),f22(x6474,a2),a2)+~P6(f8(x6476,x6471,f29(f32(a33,x6471),f30(f27(x6475),f30(f25(x6472),f30(f32(a28,x6477),x6473))))),f22(x6474,a2),a2) % 1.79/1.80 [648]~P4(x6485)+~P6(x6483,a31,a42)+~P6(f8(x6486,x6481,f29(x6483,f27(x6484))),f22(x6485,a2),a2)+~P6(f8(x6487,x6481,f29(f32(a33,x6481),f30(f27(x6488),f30(f25(x6482),f30(f32(a28,x6483),x6489))))),f22(x6485,a2),a2)+P4(f16(f8(x6481,x6482,f29(x6483,f30(f27(x6484),f27(x6484)))),x6485,a2)) % 1.79/1.80 [650]~P6(x6503,a31,a42)+~P6(x6505,a34,f40(a2))+~P6(f8(x6506,x6501,f29(x6503,f27(x6504))),f22(x6505,a2),a2)+P6(f16(f8(x6501,x6502,f29(x6503,f30(f27(x6504),f27(x6504)))),x6505,a2),a34,f40(a2))+~P6(f8(x6507,x6501,f29(f32(a33,x6501),f30(f27(x6508),f30(f25(x6502),f30(f32(a28,x6503),x6509))))),f22(x6505,a2),a2) % 1.79/1.80 [591]E(x5911,a21)+~P6(x5912,f4(x5911,x5913),a41)+P6(f7(x5911,x5912),f22(x5913,a2),a2)+P6(f6(x5911,x5912),f22(x5913,a2),a2)+P6(f8(x5911,f14(x5911,x5912,x5913),x5912),f22(x5913,a2),a2)+P6(x5912,f4(x5911,f3(a2)),a41) % 1.79/1.80 [603]P5(x6032,x6031,f29(x6033,f27(x6034)),x6035)+P6(x6031,a5,a39)+P6(x6032,a5,a39)+~P6(x6035,a34,f40(a2))+P6(f32(a28,x6033),f19(f4(a21,x6035)),a41)+~P6(f8(x6032,x6031,f29(x6033,f27(x6034))),f22(x6035,a2),a2) % 1.79/1.80 [613]P6(x6131,a5,a39)+P6(x6132,a5,a39)+P5(x6132,x6131,f29(x6133,f30(f27(x6135),f27(x6135))),x6134)+~P6(x6134,a34,f40(a2))+P6(f32(a28,x6133),f19(f4(a21,x6134)),a41)+~P6(f8(x6132,x6131,f29(x6133,f30(f27(x6135),f27(x6135)))),f22(x6134,a2),a2) % 1.79/1.80 [662]P6(x6621,a5,a39)+P6(x6622,a5,a39)+~P6(x6625,a34,f40(a2))+~P6(f32(a28,x6624),f19(f4(a21,x6625)),a41)+P6(f7(a21,f30(x6623,f30(f56(x6624,x6623,x6625),f32(a28,x6624)))),f22(x6625,a2),a2)+~P6(f8(a23,x6621,f29(f32(a33,x6621),f30(x6623,f30(f25(x6622),f30(f32(a28,x6624),f29(f32(a33,x6622),f30(f32(a28,x6624),f25(x6621)))))))),f22(x6625,a2),a2) % 1.79/1.80 [661]P6(x6611,a5,a39)+~P6(x6613,a34,f40(a2))+P6(f32(a28,x6612),f19(f4(a21,x6613)),a41)+~P6(f29(x6612,f30(f27(x6615),f27(x6615))),f18(f4(a21,x6613)),a41)+P6(f8(x6614,x6611,f29(x6612,f30(f27(x6615),f27(x6615)))),f22(x6613,a2),a2)+~P6(f8(a23,x6614,f29(f32(a33,x6614),f30(x6616,f30(f25(x6611),f30(f32(a28,x6612),f29(f32(a33,x6611),f30(f32(a28,x6612),f25(x6614)))))))),f22(x6613,a2),a2) % 1.79/1.80 [651]P6(x6511,a5,a39)+P6(x6512,a5,a39)+~P6(x6515,a34,f40(a2))+~P6(f32(a28,x6514),f19(f4(a21,x6515)),a41)+P6(f7(a21,f30(x6513,f30(f55(x6514,x6513,x6515),f32(a28,x6514)))),f22(x6515,a2),a2)+~P6(f8(a23,x6511,f29(x6516,f30(x6513,f30(f25(x6512),f30(f32(a28,x6514),x6517))))),f22(x6515,a2),a2) % 1.79/1.80 [625]P6(x6251,a5,a39)+P6(x6252,a5,a39)+~P6(x6255,a34,f40(a2))+~P6(f29(x6253,f30(f27(x6254),f27(x6254))),f18(f4(a21,x6255)),a41)+~P6(f29(f32(a33,x6251),f30(f32(a28,x6253),f25(x6252))),f18(f4(a21,x6255)),a41)+P6(f8(x6252,x6251,f29(x6253,f30(f27(x6254),f27(x6254)))),f22(x6255,a2),a2)+P6(f7(a21,f30(f50(x6253,x6255),f30(f53(x6253,x6255),f32(a28,x6253)))),f22(x6255,a2),a2) % 1.79/1.80 [626]P5(x6262,x6261,f29(x6263,f27(x6264)),x6265)+P6(x6261,a5,a39)+P6(x6262,a5,a39)+~P6(x6265,a34,f40(a2))+~P6(f29(x6263,f27(x6264)),f18(f4(a21,x6265)),a41)+P6(f32(a28,x6263),f19(f4(a21,x6265)),a41)+~P6(f29(f32(a33,x6261),f30(x6266,f30(f25(x6262),f30(f32(a28,x6263),x6267)))),f18(f4(a21,x6265)),a41) % 1.79/1.80 [636]P6(x6361,a5,a39)+P6(x6362,a5,a39)+~P6(x6364,a34,f40(a2))+P6(f32(a28,x6363),f19(f4(a21,x6364)),a41)+~P6(f29(x6363,f30(f27(x6365),f27(x6365))),f18(f4(a21,x6364)),a41)+P6(f8(x6362,x6361,f29(x6363,f30(f27(x6365),f27(x6365)))),f22(x6364,a2),a2)+~P6(f29(f32(a33,x6362),f30(f27(x6366),f30(f25(x6361),f30(f32(a28,x6363),x6367)))),f18(f4(a21,x6364)),a41) % 1.79/1.80 [640]P6(x6401,a5,a39)+P6(x6402,a5,a39)+~P6(x6405,a34,f40(a2))+~P6(f29(x6403,f27(x6404)),f18(f4(a21,x6405)),a41)+P6(f8(x6402,x6401,f29(x6403,f27(x6404))),f22(x6405,a2),a2)+P6(f7(a21,f30(x6406,f30(f51(x6403,x6406,x6405),f32(a28,x6403)))),f22(x6405,a2),a2)+~P6(f29(f32(a33,x6401),f30(x6406,f30(f25(x6402),f30(f32(a28,x6403),x6407)))),f18(f4(a21,x6405)),a41) % 1.79/1.80 %EqnAxiom % 1.79/1.80 [1]E(x11,x11) % 1.79/1.80 [2]E(x22,x21)+~E(x21,x22) % 1.79/1.80 [3]E(x31,x33)+~E(x31,x32)+~E(x32,x33) % 1.79/1.80 [4]~E(x41,x42)+E(f3(x41),f3(x42)) % 1.79/1.80 [5]~E(x51,x52)+E(f17(x51),f17(x52)) % 1.79/1.80 [6]~E(x61,x62)+E(f22(x61,x63),f22(x62,x63)) % 1.79/1.80 [7]~E(x71,x72)+E(f22(x73,x71),f22(x73,x72)) % 1.79/1.80 [8]~E(x81,x82)+E(f7(x81,x83),f7(x82,x83)) % 1.79/1.80 [9]~E(x91,x92)+E(f7(x93,x91),f7(x93,x92)) % 1.79/1.80 [10]~E(x101,x102)+E(f18(x101),f18(x102)) % 1.79/1.80 [11]~E(x111,x112)+E(f32(x111,x113),f32(x112,x113)) % 1.79/1.80 [12]~E(x121,x122)+E(f32(x123,x121),f32(x123,x122)) % 1.79/1.80 [13]~E(x131,x132)+E(f25(x131),f25(x132)) % 1.79/1.80 [14]~E(x141,x142)+E(f19(x141),f19(x142)) % 1.79/1.80 [15]~E(x151,x152)+E(f27(x151),f27(x152)) % 1.79/1.80 [16]~E(x161,x162)+E(f30(x161,x163),f30(x162,x163)) % 1.79/1.80 [17]~E(x171,x172)+E(f30(x173,x171),f30(x173,x172)) % 1.79/1.80 [18]~E(x181,x182)+E(f4(x181,x183),f4(x182,x183)) % 1.79/1.80 [19]~E(x191,x192)+E(f4(x193,x191),f4(x193,x192)) % 1.79/1.80 [20]~E(x201,x202)+E(f8(x201,x203,x204),f8(x202,x203,x204)) % 1.79/1.80 [21]~E(x211,x212)+E(f8(x213,x211,x214),f8(x213,x212,x214)) % 1.79/1.80 [22]~E(x221,x222)+E(f8(x223,x224,x221),f8(x223,x224,x222)) % 1.79/1.80 [23]~E(x231,x232)+E(f29(x231,x233),f29(x232,x233)) % 1.79/1.80 [24]~E(x241,x242)+E(f29(x243,x241),f29(x243,x242)) % 1.79/1.80 [25]~E(x251,x252)+E(f40(x251),f40(x252)) % 1.79/1.80 [26]~E(x261,x262)+E(f37(x261,x263,x264),f37(x262,x263,x264)) % 1.79/1.80 [27]~E(x271,x272)+E(f37(x273,x271,x274),f37(x273,x272,x274)) % 1.79/1.80 [28]~E(x281,x282)+E(f37(x283,x284,x281),f37(x283,x284,x282)) % 1.79/1.80 [29]~E(x291,x292)+E(f10(x291,x293,x294),f10(x292,x293,x294)) % 1.79/1.80 [30]~E(x301,x302)+E(f10(x303,x301,x304),f10(x303,x302,x304)) % 1.79/1.80 [31]~E(x311,x312)+E(f10(x313,x314,x311),f10(x313,x314,x312)) % 1.79/1.80 [32]~E(x321,x322)+E(f12(x321,x323),f12(x322,x323)) % 1.79/1.80 [33]~E(x331,x332)+E(f12(x333,x331),f12(x333,x332)) % 1.79/1.80 [34]~E(x341,x342)+E(f20(x341,x343),f20(x342,x343)) % 1.79/1.80 [35]~E(x351,x352)+E(f20(x353,x351),f20(x353,x352)) % 1.79/1.80 [36]~E(x361,x362)+E(f43(x361,x363),f43(x362,x363)) % 1.79/1.80 [37]~E(x371,x372)+E(f43(x373,x371),f43(x373,x372)) % 1.79/1.80 [38]~E(x381,x382)+E(f36(x381),f36(x382)) % 1.79/1.80 [39]~E(x391,x392)+E(f15(x391,x393),f15(x392,x393)) % 1.79/1.80 [40]~E(x401,x402)+E(f15(x403,x401),f15(x403,x402)) % 1.79/1.80 [41]~E(x411,x412)+E(f38(x411,x413,x414,x415),f38(x412,x413,x414,x415)) % 1.79/1.80 [42]~E(x421,x422)+E(f38(x423,x421,x424,x425),f38(x423,x422,x424,x425)) % 1.79/1.80 [43]~E(x431,x432)+E(f38(x433,x434,x431,x435),f38(x433,x434,x432,x435)) % 1.79/1.80 [44]~E(x441,x442)+E(f38(x443,x444,x445,x441),f38(x443,x444,x445,x442)) % 1.79/1.80 [45]~E(x451,x452)+E(f16(x451,x453,x454),f16(x452,x453,x454)) % 1.79/1.80 [46]~E(x461,x462)+E(f16(x463,x461,x464),f16(x463,x462,x464)) % 1.79/1.80 [47]~E(x471,x472)+E(f16(x473,x474,x471),f16(x473,x474,x472)) % 1.79/1.80 [48]~E(x481,x482)+E(f9(x481,x483,x484),f9(x482,x483,x484)) % 1.79/1.80 [49]~E(x491,x492)+E(f9(x493,x491,x494),f9(x493,x492,x494)) % 1.79/1.80 [50]~E(x501,x502)+E(f9(x503,x504,x501),f9(x503,x504,x502)) % 1.79/1.80 [51]~E(x511,x512)+E(f53(x511,x513),f53(x512,x513)) % 1.79/1.80 [52]~E(x521,x522)+E(f53(x523,x521),f53(x523,x522)) % 1.79/1.80 [53]~E(x531,x532)+E(f35(x531),f35(x532)) % 1.79/1.80 [54]~E(x541,x542)+E(f6(x541,x543),f6(x542,x543)) % 1.79/1.80 [55]~E(x551,x552)+E(f6(x553,x551),f6(x553,x552)) % 1.79/1.80 [56]~E(x561,x562)+E(f11(x561),f11(x562)) % 1.79/1.80 [57]~E(x571,x572)+E(f13(x571,x573),f13(x572,x573)) % 1.79/1.80 [58]~E(x581,x582)+E(f13(x583,x581),f13(x583,x582)) % 1.79/1.80 [59]~E(x591,x592)+E(f26(x591),f26(x592)) % 1.79/1.80 [60]~E(x601,x602)+E(f49(x601,x603,x604,x605),f49(x602,x603,x604,x605)) % 1.79/1.80 [61]~E(x611,x612)+E(f49(x613,x611,x614,x615),f49(x613,x612,x614,x615)) % 1.79/1.80 [62]~E(x621,x622)+E(f49(x623,x624,x621,x625),f49(x623,x624,x622,x625)) % 1.79/1.80 [63]~E(x631,x632)+E(f49(x633,x634,x635,x631),f49(x633,x634,x635,x632)) % 1.79/1.80 [64]~E(x641,x642)+E(f50(x641,x643),f50(x642,x643)) % 1.79/1.80 [65]~E(x651,x652)+E(f50(x653,x651),f50(x653,x652)) % 1.79/1.80 [66]~E(x661,x662)+E(f54(x661,x663,x664),f54(x662,x663,x664)) % 1.79/1.80 [67]~E(x671,x672)+E(f54(x673,x671,x674),f54(x673,x672,x674)) % 1.79/1.80 [68]~E(x681,x682)+E(f54(x683,x684,x681),f54(x683,x684,x682)) % 1.79/1.80 [69]~E(x691,x692)+E(f55(x691,x693,x694),f55(x692,x693,x694)) % 1.79/1.80 [70]~E(x701,x702)+E(f55(x703,x701,x704),f55(x703,x702,x704)) % 1.79/1.80 [71]~E(x711,x712)+E(f55(x713,x714,x711),f55(x713,x714,x712)) % 1.79/1.80 [72]~E(x721,x722)+E(f52(x721,x723,x724,x725),f52(x722,x723,x724,x725)) % 1.79/1.80 [73]~E(x731,x732)+E(f52(x733,x731,x734,x735),f52(x733,x732,x734,x735)) % 1.79/1.80 [74]~E(x741,x742)+E(f52(x743,x744,x741,x745),f52(x743,x744,x742,x745)) % 1.79/1.80 [75]~E(x751,x752)+E(f52(x753,x754,x755,x751),f52(x753,x754,x755,x752)) % 1.79/1.80 [76]~E(x761,x762)+E(f51(x761,x763,x764),f51(x762,x763,x764)) % 1.79/1.80 [77]~E(x771,x772)+E(f51(x773,x771,x774),f51(x773,x772,x774)) % 1.79/1.80 [78]~E(x781,x782)+E(f51(x783,x784,x781),f51(x783,x784,x782)) % 1.79/1.80 [79]~E(x791,x792)+E(f14(x791,x793,x794),f14(x792,x793,x794)) % 1.79/1.80 [80]~E(x801,x802)+E(f14(x803,x801,x804),f14(x803,x802,x804)) % 1.79/1.80 [81]~E(x811,x812)+E(f14(x813,x814,x811),f14(x813,x814,x812)) % 1.79/1.80 [82]~E(x821,x822)+E(f56(x821,x823,x824),f56(x822,x823,x824)) % 1.79/1.80 [83]~E(x831,x832)+E(f56(x833,x831,x834),f56(x833,x832,x834)) % 1.79/1.80 [84]~E(x841,x842)+E(f56(x843,x844,x841),f56(x843,x844,x842)) % 1.79/1.80 [85]~P1(x851)+P1(x852)+~E(x851,x852) % 1.79/1.80 [86]~P9(x861)+P9(x862)+~E(x861,x862) % 1.79/1.80 [87]P6(x872,x873,x874)+~E(x871,x872)+~P6(x871,x873,x874) % 1.79/1.80 [88]P6(x883,x882,x884)+~E(x881,x882)+~P6(x883,x881,x884) % 1.79/1.80 [89]P6(x893,x894,x892)+~E(x891,x892)+~P6(x893,x894,x891) % 1.79/1.80 [90]~P10(x901)+P10(x902)+~E(x901,x902) % 1.79/1.80 [91]P8(x912,x913,x914)+~E(x911,x912)+~P8(x911,x913,x914) % 1.79/1.80 [92]P8(x923,x922,x924)+~E(x921,x922)+~P8(x923,x921,x924) % 1.79/1.80 [93]P8(x933,x934,x932)+~E(x931,x932)+~P8(x933,x934,x931) % 1.79/1.80 [94]~P2(x941)+P2(x942)+~E(x941,x942) % 1.79/1.80 [95]~P3(x951)+P3(x952)+~E(x951,x952) % 1.79/1.80 [96]~P17(x961)+P17(x962)+~E(x961,x962) % 1.79/1.80 [97]~P11(x971)+P11(x972)+~E(x971,x972) % 1.79/1.80 [98]~P16(x981)+P16(x982)+~E(x981,x982) % 1.79/1.80 [99]~P15(x991)+P15(x992)+~E(x991,x992) % 1.79/1.80 [100]~P13(x1001)+P13(x1002)+~E(x1001,x1002) % 1.79/1.80 [101]~P12(x1011)+P12(x1012)+~E(x1011,x1012) % 1.79/1.80 [102]P5(x1022,x1023,x1024,x1025)+~E(x1021,x1022)+~P5(x1021,x1023,x1024,x1025) % 1.79/1.80 [103]P5(x1033,x1032,x1034,x1035)+~E(x1031,x1032)+~P5(x1033,x1031,x1034,x1035) % 1.79/1.80 [104]P5(x1043,x1044,x1042,x1045)+~E(x1041,x1042)+~P5(x1043,x1044,x1041,x1045) % 1.79/1.80 [105]P5(x1053,x1054,x1055,x1052)+~E(x1051,x1052)+~P5(x1053,x1054,x1055,x1051) % 1.79/1.80 [106]~P4(x1061)+P4(x1062)+~E(x1061,x1062) % 1.79/1.80 [107]~P14(x1071)+P14(x1072)+~E(x1071,x1072) % 1.79/1.80 [108]P7(x1082,x1083,x1084)+~E(x1081,x1082)+~P7(x1081,x1083,x1084) % 1.79/1.80 [109]P7(x1093,x1092,x1094)+~E(x1091,x1092)+~P7(x1093,x1091,x1094) % 1.79/1.80 [110]P7(x1103,x1104,x1102)+~E(x1101,x1102)+~P7(x1103,x1104,x1101) % 1.79/1.80 % 1.79/1.80 %------------------------------------------- % 1.79/1.80 cnf(695,plain, % 1.79/1.80 (P6(x6951,f37(x6951,x6952,x6953),x6954)), % 1.79/1.80 inference(scs_inference,[],[209,382])). % 1.79/1.80 cnf(697,plain, % 1.79/1.80 (~P6(f27(x6971),f4(x6972,f3(a2)),a41)), % 1.79/1.80 inference(scs_inference,[],[319,209,382,390])). % 1.79/1.80 cnf(699,plain, % 1.79/1.80 (~P6(f32(a28,a45),f4(a21,a44),a41)), % 1.79/1.80 inference(scs_inference,[],[318,319,209,382,390,391])). % 1.79/1.80 cnf(701,plain, % 1.79/1.80 (~P6(f30(x7011,f32(a28,a45)),f19(f4(a21,a44)),a41)), % 1.79/1.80 inference(scs_inference,[],[318,319,209,382,390,391,426])). % 1.79/1.80 cnf(703,plain, % 1.79/1.80 (~P6(f30(f32(a28,a45),x7031),f19(f4(a21,a44)),a41)), % 1.79/1.80 inference(scs_inference,[],[318,319,209,382,390,391,426,427])). % 1.79/1.80 cnf(707,plain, % 1.79/1.80 (P6(x7071,f19(f37(x7071,x7072,a41)),a41)), % 1.79/1.80 inference(scs_inference,[],[318,216,159,319,209,382,390,391,426,427,458,526])). % 1.79/1.80 cnf(708,plain, % 1.79/1.80 (P8(x7081,f19(x7081),f43(a41,a1))), % 1.79/1.80 inference(rename_variables,[],[159])). % 1.79/1.80 cnf(712,plain, % 1.79/1.80 (~P6(f27(x7121),f19(f4(x7122,f3(a2))),a41)), % 1.79/1.80 inference(scs_inference,[],[318,216,159,319,209,382,390,391,426,427,458,526,540,397])). % 1.79/1.80 cnf(714,plain, % 1.79/1.80 (~P6(f27(x7141),f17(f38(a28,x7142,a42,a41)),a41)), % 1.79/1.80 inference(scs_inference,[],[318,216,159,323,319,209,382,390,391,426,427,458,526,540,397,401])). % 1.79/1.80 cnf(716,plain, % 1.79/1.80 (~P6(f30(x7161,f27(x7162)),f18(f4(x7163,f3(a2))),a41)), % 1.79/1.80 inference(scs_inference,[],[318,216,159,323,319,209,382,390,391,426,427,458,526,540,397,401,424])). % 1.79/1.80 cnf(718,plain, % 1.79/1.80 (~P6(f30(f27(x7181),x7182),f18(f4(x7183,f3(a2))),a41)), % 1.79/1.80 inference(scs_inference,[],[318,216,159,323,319,209,382,390,391,426,427,458,526,540,397,401,424,425])). % 1.79/1.80 cnf(720,plain, % 1.79/1.80 (~P6(f30(x7201,f27(x7202)),f11(f3(a2)),a41)), % 1.79/1.80 inference(scs_inference,[],[318,216,159,323,315,319,209,382,390,391,426,427,458,526,540,397,401,424,425,428])). % 1.79/1.80 cnf(722,plain, % 1.79/1.80 (~P6(f30(f27(x7221),x7222),f11(f3(a2)),a41)), % 1.79/1.80 inference(scs_inference,[],[318,216,159,323,315,319,209,382,390,391,426,427,458,526,540,397,401,424,425,428,429])). % 1.79/1.80 cnf(725,plain, % 1.79/1.80 (P6(x7251,f22(f9(x7252,f16(x7251,x7253,x7254),x7254),x7254),x7254)), % 1.79/1.80 inference(rename_variables,[],[260])). % 1.79/1.80 cnf(728,plain, % 1.79/1.80 (P6(x7281,f22(f9(x7282,f16(x7281,x7283,x7284),x7284),x7284),x7284)), % 1.79/1.80 inference(rename_variables,[],[260])). % 1.79/1.80 cnf(731,plain, % 1.79/1.80 (P6(x7311,f22(f9(x7312,f16(x7311,x7313,x7314),x7314),x7314),x7314)), % 1.79/1.80 inference(rename_variables,[],[260])). % 1.79/1.80 cnf(736,plain, % 1.79/1.80 (P6(x7361,f22(f9(x7362,f16(x7361,x7363,x7364),x7364),x7364),x7364)), % 1.79/1.80 inference(rename_variables,[],[260])). % 1.79/1.80 cnf(739,plain, % 1.79/1.80 (~P6(f29(x7391,x7392),f18(f4(x7393,f3(a2))),a41)), % 1.79/1.80 inference(rename_variables,[],[320])). % 1.79/1.80 cnf(741,plain, % 1.79/1.80 (E(f3(x7411),f20(f3(x7411),x7411))), % 1.79/1.80 inference(scs_inference,[],[318,216,260,725,728,731,159,323,132,315,319,320,209,382,390,391,426,427,458,526,540,397,401,424,425,428,429,455,468,527,532,533,539,2])). % 1.79/1.80 cnf(744,plain, % 1.79/1.80 (~E(f20(f16(x7441,f3(x7442),x7443),x7442),f3(x7442))), % 1.79/1.80 inference(scs_inference,[],[318,216,260,725,728,731,159,303,323,132,315,297,319,320,209,382,390,391,426,427,458,526,540,397,401,424,425,428,429,455,468,527,532,533,539,2,11,334])). % 1.79/1.80 cnf(745,plain, % 1.79/1.80 (~E(f16(x7451,x7452,x7453),x7452)), % 1.79/1.80 inference(rename_variables,[],[303])). % 1.79/1.80 cnf(747,plain, % 1.79/1.80 (~P7(f16(x7471,x7472,x7473),x7472,x7474)), % 1.79/1.80 inference(scs_inference,[],[318,216,260,725,728,731,159,303,745,323,132,315,297,319,320,209,382,390,391,426,427,458,526,540,397,401,424,425,428,429,455,468,527,532,533,539,2,11,334,370])). % 1.79/1.80 cnf(749,plain, % 1.79/1.80 (~E(f9(x7491,f16(x7492,f3(x7493),x7494),x7493),x7491)), % 1.79/1.80 inference(scs_inference,[],[318,216,260,725,728,731,159,303,745,323,132,315,297,319,320,209,382,390,391,426,427,458,526,540,397,401,424,425,428,429,455,468,527,532,533,539,2,11,334,370,375])). % 1.79/1.80 cnf(750,plain, % 1.79/1.80 (~E(f16(x7501,x7502,x7503),x7502)), % 1.79/1.80 inference(rename_variables,[],[303])). % 1.79/1.80 cnf(752,plain, % 1.79/1.80 (~E(f9(f16(x7521,f3(x7522),x7523),x7524,x7522),x7524)), % 1.79/1.80 inference(scs_inference,[],[318,216,260,725,728,731,159,303,745,750,323,132,315,297,319,320,209,382,390,391,426,427,458,526,540,397,401,424,425,428,429,455,468,527,532,533,539,2,11,334,370,375,376])). % 1.79/1.80 cnf(753,plain, % 1.79/1.80 (~E(f16(x7531,x7532,x7533),x7532)), % 1.79/1.80 inference(rename_variables,[],[303])). % 1.79/1.80 cnf(756,plain, % 1.79/1.80 (~E(f16(x7561,x7562,x7563),x7562)), % 1.79/1.80 inference(rename_variables,[],[303])). % 1.79/1.80 cnf(759,plain, % 1.79/1.80 (~E(f16(x7591,x7592,x7593),x7592)), % 1.79/1.80 inference(rename_variables,[],[303])). % 1.79/1.80 cnf(765,plain, % 1.79/1.80 (~E(f16(x7651,x7652,x7653),x7652)), % 1.79/1.80 inference(rename_variables,[],[303])). % 1.79/1.80 cnf(769,plain, % 1.79/1.80 (~E(f20(f16(x7691,f9(f20(x7692,x7693),f16(x7694,f3(x7693),x7693),x7693),x7695),x7693),f16(x7694,x7692,x7693))), % 1.79/1.80 inference(scs_inference,[],[318,216,260,725,728,731,160,159,303,745,750,753,756,759,765,323,132,315,297,319,320,209,252,382,390,391,426,427,458,526,540,397,401,424,425,428,429,455,468,527,532,533,539,2,11,334,370,375,376,380,381,417,418,500,502])). % 1.79/1.80 cnf(770,plain, % 1.79/1.80 (~E(f16(x7701,x7702,x7703),x7702)), % 1.79/1.80 inference(rename_variables,[],[303])). % 1.79/1.80 cnf(773,plain, % 1.79/1.80 (P8(x7731,f19(x7731),f43(a41,a1))), % 1.79/1.80 inference(rename_variables,[],[159])). % 1.79/1.80 cnf(778,plain, % 1.79/1.80 (P8(x7781,f19(x7781),f43(a41,a1))), % 1.79/1.80 inference(rename_variables,[],[159])). % 1.79/1.80 cnf(780,plain, % 1.79/1.80 (P8(x7801,f19(f10(x7801,x7802,f43(a41,a1))),f43(a41,a1))), % 1.79/1.80 inference(scs_inference,[],[318,216,260,725,728,731,160,159,708,773,778,303,745,750,753,756,759,765,323,132,315,297,319,320,209,252,382,390,391,426,427,458,526,540,397,401,424,425,428,429,455,468,527,532,533,539,2,11,334,370,375,376,380,381,417,418,500,502,534,544,552,553])). % 1.79/1.80 cnf(781,plain, % 1.79/1.80 (P8(x7811,f19(x7811),f43(a41,a1))), % 1.79/1.80 inference(rename_variables,[],[159])). % 1.79/1.80 cnf(784,plain, % 1.79/1.80 (P6(f25(x7841),f17(x7842),a41)), % 1.79/1.80 inference(rename_variables,[],[150])). % 1.79/1.80 cnf(786,plain, % 1.79/1.80 (P8(f37(f29(x7861,x7862),f19(f37(x7862,f37(f32(a28,f32(a24,x7861)),x7863,a41),a41)),a41),f19(f37(f29(x7861,x7862),f37(f32(a28,f32(a24,x7861)),x7863,a41),a41)),f43(a41,a1))), % 1.79/1.80 inference(scs_inference,[],[318,216,150,260,725,728,731,160,159,708,773,778,303,745,750,753,756,759,765,323,132,315,297,319,320,209,252,382,390,391,426,427,458,526,540,397,401,424,425,428,429,455,468,527,532,533,539,2,11,334,370,375,376,380,381,417,418,500,502,534,544,552,553,571,608])). % 1.79/1.80 cnf(789,plain, % 1.79/1.80 (P6(f25(x7891),f17(x7892),a41)), % 1.79/1.80 inference(rename_variables,[],[150])). % 1.79/1.80 cnf(791,plain, % 1.79/1.80 (P6(a44,f37(x7911,a34,f40(a2)),f40(a2))), % 1.79/1.80 inference(scs_inference,[],[142,318,216,150,784,260,725,728,731,160,159,708,773,778,190,303,745,750,753,756,759,765,323,132,315,297,319,320,209,252,382,390,391,426,427,458,526,540,397,401,424,425,428,429,455,468,527,532,533,539,2,11,334,370,375,376,380,381,417,418,500,502,534,544,552,553,571,608,609,482])). % 1.79/1.80 cnf(797,plain, % 1.79/1.80 (~P8(f4(a21,a44),f18(f4(x7971,f3(a2))),f43(a41,a1))), % 1.79/1.80 inference(scs_inference,[],[142,318,216,150,784,260,725,728,731,153,160,159,708,773,778,190,303,745,750,753,756,759,765,323,132,315,297,319,320,739,209,252,382,390,391,426,427,458,526,540,397,401,424,425,428,429,455,468,527,532,533,539,2,11,334,370,375,376,380,381,417,418,500,502,534,544,552,553,571,608,609,482,483,489])). % 1.79/1.80 cnf(800,plain, % 1.79/1.80 (P8(f37(f29(f32(a33,a46),f30(f32(a28,a45),f25(a47))),f19(f4(a21,a44)),a41),f18(f4(a21,a44)),f43(a41,a1))), % 1.79/1.80 inference(scs_inference,[],[142,318,216,150,784,260,725,728,731,153,160,159,708,773,778,190,303,745,750,753,756,759,765,323,132,315,297,319,320,739,209,252,382,390,391,426,427,458,526,540,397,401,424,425,428,429,455,468,527,532,533,539,2,11,334,370,375,376,380,381,417,418,500,502,534,544,552,553,571,608,609,482,483,489,541])). % 1.79/1.80 cnf(801,plain, % 1.79/1.80 (P8(f19(x8011),f18(x8011),f43(a41,a1))), % 1.79/1.80 inference(rename_variables,[],[160])). % 1.79/1.80 cnf(804,plain, % 1.79/1.80 (P6(f25(x8041),f17(x8042),a41)), % 1.79/1.80 inference(rename_variables,[],[150])). % 1.79/1.80 cnf(807,plain, % 1.79/1.80 (P8(x8071,f19(x8071),f43(a41,a1))), % 1.79/1.80 inference(rename_variables,[],[159])). % 1.79/1.80 cnf(809,plain, % 1.79/1.80 (~E(a21,a46)), % 1.79/1.80 inference(scs_inference,[],[142,300,318,216,139,150,784,789,260,725,728,731,153,160,159,708,773,778,781,190,303,745,750,753,756,759,765,323,132,315,297,319,320,739,209,252,382,390,391,426,427,458,526,540,397,401,424,425,428,429,455,468,527,532,533,539,2,11,334,370,375,376,380,381,417,418,500,502,534,544,552,553,571,608,609,482,483,489,541,586,604,87])). % 1.79/1.80 cnf(810,plain, % 1.79/1.80 (~E(f18(f4(a21,a44)),f38(a28,x8101,a42,a41))), % 1.79/1.80 inference(scs_inference,[],[142,300,318,216,139,150,784,789,260,725,728,731,153,160,159,708,773,778,781,190,303,745,750,753,756,759,765,323,324,132,315,297,319,320,739,209,252,382,390,391,426,427,458,526,540,397,401,424,425,428,429,455,468,527,532,533,539,2,11,334,370,375,376,380,381,417,418,500,502,534,544,552,553,571,608,609,482,483,489,541,586,604,87,88])). % 1.79/1.80 cnf(811,plain, % 1.79/1.80 (~P6(f29(x8111,x8112),f38(a28,x8113,a42,a41),a41)), % 1.79/1.80 inference(rename_variables,[],[324])). % 1.79/1.80 cnf(814,plain, % 1.79/1.80 (P17(f32(f19(f37(x8141,x8142,x8143)),x8141))), % 1.79/1.80 inference(scs_inference,[],[142,300,318,216,139,150,784,789,164,260,725,728,731,153,160,159,708,773,778,781,807,190,303,745,750,753,756,759,765,323,324,132,315,297,319,320,739,209,252,382,390,391,426,427,458,526,540,397,401,424,425,428,429,455,468,527,532,533,539,2,11,334,370,375,376,380,381,417,418,500,502,534,544,552,553,571,608,609,482,483,489,541,586,604,87,88,89,432])). % 1.79/1.80 cnf(815,plain, % 1.79/1.80 (P8(x8151,f19(x8151),f43(a41,a1))), % 1.79/1.80 inference(rename_variables,[],[159])). % 1.79/1.80 cnf(819,plain, % 1.79/1.80 (~E(f16(x8191,x8192,x8193),x8192)), % 1.79/1.80 inference(rename_variables,[],[303])). % 1.79/1.80 cnf(821,plain, % 1.79/1.80 (~P6(f29(x8211,f27(x8212)),f17(f38(a28,x8213,a42,a41)),a41)), % 1.79/1.80 inference(scs_inference,[],[142,300,318,216,139,150,784,789,164,260,725,728,731,736,153,160,159,708,773,778,781,807,190,303,745,750,753,756,759,765,770,323,324,811,132,315,297,319,320,739,209,252,382,390,391,426,427,458,526,540,397,401,424,425,428,429,455,468,527,532,533,539,2,11,334,370,375,376,380,381,417,418,500,502,534,544,552,553,571,608,609,482,483,489,541,586,604,87,88,89,432,470,485])). % 1.79/1.80 cnf(824,plain, % 1.79/1.80 (P6(f29(x8241,f25(x8242)),f17(f37(f32(a28,x8241),x8243,a41)),a41)), % 1.79/1.80 inference(scs_inference,[],[142,300,318,216,139,183,150,784,789,804,164,260,725,728,731,736,153,160,159,708,773,778,781,807,190,303,745,750,753,756,759,765,770,323,324,811,132,315,297,319,320,739,209,252,382,390,391,426,427,458,526,540,397,401,424,425,428,429,455,468,527,532,533,539,2,11,334,370,375,376,380,381,417,418,500,502,534,544,552,553,571,608,609,482,483,489,541,586,604,87,88,89,432,470,485,499])). % 1.79/1.80 cnf(833,plain, % 1.79/1.80 (P8(f19(x8331),f18(x8331),f43(a41,a1))), % 1.79/1.80 inference(rename_variables,[],[160])). % 1.79/1.80 cnf(834,plain, % 1.79/1.80 (P8(f19(f18(x8341)),f18(x8341),f43(a41,a1))), % 1.79/1.80 inference(scs_inference,[],[142,300,318,216,139,183,150,784,789,804,164,260,725,728,731,736,153,160,801,833,159,708,773,778,781,807,190,303,745,750,753,756,759,765,770,819,323,324,811,132,127,315,297,319,320,739,209,252,382,390,391,426,427,458,526,540,397,401,424,425,428,429,455,468,527,532,533,539,2,11,334,370,375,376,380,381,417,418,500,502,534,544,552,553,571,608,609,482,483,489,541,586,604,87,88,89,432,470,485,499,508,3,91,92])). % 1.79/1.80 cnf(835,plain, % 1.79/1.80 (P8(f19(x8351),f18(x8351),f43(a41,a1))), % 1.79/1.80 inference(rename_variables,[],[160])). % 1.79/1.80 cnf(836,plain, % 1.79/1.80 (P4(f20(f3(a2),a2))), % 1.79/1.80 inference(scs_inference,[],[142,300,318,216,139,183,150,784,789,804,164,260,725,728,731,736,153,160,801,833,159,708,773,778,781,807,190,303,745,750,753,756,759,765,770,819,323,324,811,132,127,315,297,319,320,739,125,209,252,382,390,391,426,427,458,526,540,397,401,424,425,428,429,455,468,527,532,533,539,2,11,334,370,375,376,380,381,417,418,500,502,534,544,552,553,571,608,609,482,483,489,541,586,604,87,88,89,432,470,485,499,508,3,91,92,106])). % 1.79/1.80 cnf(840,plain, % 1.79/1.80 (P8(x8401,f19(x8401),f43(a41,a1))), % 1.79/1.80 inference(rename_variables,[],[159])). % 1.79/1.80 cnf(846,plain, % 1.79/1.80 (~P8(f18(f4(a21,a44)),f18(f4(x8461,f3(a2))),f43(a41,a1))), % 1.79/1.80 inference(scs_inference,[],[142,300,318,216,139,183,150,784,789,804,164,260,725,728,731,736,153,141,160,801,833,835,159,708,773,778,781,807,815,840,190,303,745,750,753,756,759,765,770,819,170,323,324,811,132,127,315,297,319,320,739,125,209,252,382,390,391,426,427,458,526,540,397,401,424,425,428,429,455,468,527,532,533,539,2,11,334,370,375,376,380,381,417,418,500,502,534,544,552,553,571,608,609,482,483,489,541,586,604,87,88,89,432,470,485,499,508,3,91,92,106,108,472,509,453])). % 1.79/1.80 cnf(855,plain, % 1.79/1.80 (~P6(f30(x8551,f32(a28,a45)),f4(a21,a44),a41)), % 1.79/1.80 inference(scs_inference,[],[701,391])). % 1.79/1.80 cnf(857,plain, % 1.79/1.80 (~P6(f30(x8571,f30(x8572,f32(a28,a45))),f19(f4(a21,a44)),a41)), % 1.79/1.80 inference(scs_inference,[],[701,391,426])). % 1.79/1.80 cnf(862,plain, % 1.79/1.80 (~E(f9(x8621,f16(x8622,f3(x8623),x8624),x8623),x8621)), % 1.79/1.80 inference(rename_variables,[],[749])). % 1.79/1.80 cnf(864,plain, % 1.79/1.80 (P8(x8641,f19(f10(f10(x8642,x8641,f43(a41,a1)),x8643,f43(a41,a1))),f43(a41,a1))), % 1.79/1.80 inference(scs_inference,[],[701,744,749,780,391,426,380,502,552])). % 1.79/1.80 cnf(865,plain, % 1.79/1.80 (P8(x8651,f19(f10(x8651,x8652,f43(a41,a1))),f43(a41,a1))), % 1.79/1.80 inference(rename_variables,[],[780])). % 1.79/1.80 cnf(868,plain, % 1.79/1.80 (P8(x8681,f19(f10(x8681,x8682,f43(a41,a1))),f43(a41,a1))), % 1.79/1.80 inference(rename_variables,[],[780])). % 1.79/1.80 cnf(873,plain, % 1.79/1.80 (P6(x8731,f19(f37(x8731,x8732,x8733)),x8734)), % 1.79/1.80 inference(scs_inference,[],[701,814,769,744,749,780,865,391,426,380,502,552,534,418,382])). % 1.79/1.80 cnf(876,plain, % 1.79/1.80 (~P6(f30(x8761,f27(x8762)),f18(f4(x8763,f3(a2))),a41)), % 1.79/1.80 inference(rename_variables,[],[716])). % 1.79/1.80 cnf(878,plain, % 1.79/1.80 (~E(f9(f20(f16(x8781,f3(x8782),x8783),x8782),x8784,x8782),x8784)), % 1.79/1.80 inference(scs_inference,[],[701,814,716,769,744,749,780,865,391,426,380,502,552,534,418,382,539,376])). % 1.79/1.80 cnf(880,plain, % 1.79/1.80 (~P6(f30(x8801,f30(x8802,f27(x8803))),f11(f3(a2)),a41)), % 1.79/1.80 inference(scs_inference,[],[701,814,716,720,769,744,749,780,865,391,426,380,502,552,534,418,382,539,376,428])). % 1.79/1.80 cnf(882,plain, % 1.79/1.80 (~P6(f30(f30(x8821,f27(x8822)),x8823),f11(f3(a2)),a41)), % 1.79/1.80 inference(scs_inference,[],[701,814,716,720,769,744,749,780,865,391,426,380,502,552,534,418,382,539,376,428,429])). % 1.79/1.80 cnf(884,plain, % 1.79/1.80 (~P6(f30(f30(x8841,f32(a28,a45)),x8842),f19(f4(a21,a44)),a41)), % 1.79/1.80 inference(scs_inference,[],[701,814,716,720,769,744,749,780,865,391,426,380,502,552,534,418,382,539,376,428,429,427])). % 1.79/1.80 cnf(886,plain, % 1.79/1.80 (~E(f9(x8861,f20(f16(x8862,f3(x8863),x8864),x8863),x8863),x8861)), % 1.79/1.80 inference(scs_inference,[],[701,814,716,720,769,744,749,780,865,391,426,380,502,552,534,418,382,539,376,428,429,427,375])). % 1.79/1.80 cnf(888,plain, % 1.79/1.80 (~P7(f18(f4(a21,a44)),f38(a28,x8881,a42,a41),x8882)), % 1.79/1.80 inference(scs_inference,[],[810,701,814,716,720,769,744,749,780,865,391,426,380,502,552,534,418,382,539,376,428,429,427,375,370])). % 1.79/1.80 cnf(890,plain, % 1.79/1.80 (P6(x8901,f19(f10(f37(x8901,x8902,a41),x8903,f43(a41,a1))),a41)), % 1.79/1.80 inference(scs_inference,[],[810,701,814,716,720,769,744,749,780,865,868,391,426,380,502,552,534,418,382,539,376,428,429,427,375,370,526])). % 1.79/1.80 cnf(891,plain, % 1.79/1.80 (P8(x8911,f19(f10(x8911,x8912,f43(a41,a1))),f43(a41,a1))), % 1.79/1.80 inference(rename_variables,[],[780])). % 1.79/1.80 cnf(908,plain, % 1.79/1.80 (~P6(f30(f30(x9081,f27(x9082)),x9083),f18(f4(x9084,f3(a2))),a41)), % 1.79/1.80 inference(scs_inference,[],[198,800,810,701,814,716,876,720,769,744,749,780,865,868,891,391,426,380,502,552,534,418,382,539,376,428,429,427,375,370,526,608,500,553,544,458,532,334,425])). % 1.79/1.80 cnf(910,plain, % 1.79/1.80 (~P8(f18(f18(f4(a21,a44))),f18(f4(x9101,f3(a2))),f43(a41,a1))), % 1.79/1.80 inference(scs_inference,[],[198,800,810,701,814,716,876,720,769,744,749,780,865,868,891,846,391,426,380,502,552,534,418,382,539,376,428,429,427,375,370,526,608,500,553,544,458,532,334,425,453])). % 1.79/1.80 cnf(912,plain, % 1.79/1.80 (~P6(f27(x9121),f17(f4(x9122,f3(a2))),a41)), % 1.79/1.80 inference(scs_inference,[],[198,800,810,697,701,814,716,876,720,769,744,749,780,865,868,891,846,391,426,380,502,552,534,418,382,539,376,428,429,427,375,370,526,608,500,553,544,458,532,334,425,453,401])). % 1.79/1.80 cnf(920,plain, % 1.79/1.80 (~P6(f30(x9201,f30(x9202,f27(x9203))),f18(f4(x9204,f3(a2))),a41)), % 1.79/1.80 inference(scs_inference,[],[198,800,810,697,701,703,814,716,876,720,769,744,749,780,865,868,891,846,391,426,380,502,552,534,418,382,539,376,428,429,427,375,370,526,608,500,553,544,458,532,334,425,453,401,381,397,540,424])). % 1.79/1.80 cnf(922,plain, % 1.79/1.80 (~P6(f30(x9221,f27(x9222)),f4(x9223,f3(a2)),a41)), % 1.79/1.80 inference(scs_inference,[],[198,800,810,697,701,703,814,716,876,720,769,744,749,780,865,868,891,846,391,426,380,502,552,534,418,382,539,376,428,429,427,375,370,526,608,500,553,544,458,532,334,425,453,401,381,397,540,424,390])). % 1.79/1.80 cnf(926,plain, % 1.79/1.80 (E(x9261,f20(f20(x9261,x9262),x9262))), % 1.79/1.80 inference(scs_inference,[],[198,800,810,697,701,703,814,716,876,720,136,769,744,749,780,865,868,891,846,298,391,426,380,502,552,534,418,382,539,376,428,429,427,375,370,526,608,500,553,544,458,532,334,425,453,401,381,397,540,424,390,11,2])). % 1.79/1.80 cnf(927,plain, % 1.79/1.80 (P1(f20(f20(a1,x9271),x9271))), % 1.79/1.80 inference(scs_inference,[],[198,800,810,697,701,703,814,716,876,720,136,769,744,749,780,865,868,891,846,111,298,391,426,380,502,552,534,418,382,539,376,428,429,427,375,370,526,608,500,553,544,458,532,334,425,453,401,381,397,540,424,390,11,2,85])). % 1.79/1.80 cnf(928,plain, % 1.79/1.80 (P9(f20(f20(a1,x9281),x9281))), % 1.79/1.80 inference(scs_inference,[],[198,800,810,697,701,703,814,716,876,720,136,769,744,749,780,865,868,891,846,111,112,298,391,426,380,502,552,534,418,382,539,376,428,429,427,375,370,526,608,500,553,544,458,532,334,425,453,401,381,397,540,424,390,11,2,85,86])). % 1.79/1.80 cnf(929,plain, % 1.79/1.80 (P10(f20(f20(a1,x9291),x9291))), % 1.79/1.80 inference(scs_inference,[],[198,800,810,697,701,703,814,716,876,720,136,769,744,749,780,865,868,891,846,111,112,114,298,391,426,380,502,552,534,418,382,539,376,428,429,427,375,370,526,608,500,553,544,458,532,334,425,453,401,381,397,540,424,390,11,2,85,86,90])). % 1.79/1.80 cnf(930,plain, % 1.79/1.80 (P2(f20(f20(a1,x9301),x9301))), % 1.79/1.80 inference(scs_inference,[],[198,800,810,697,701,703,814,716,876,720,136,769,744,749,780,865,868,891,846,111,112,114,116,298,391,426,380,502,552,534,418,382,539,376,428,429,427,375,370,526,608,500,553,544,458,532,334,425,453,401,381,397,540,424,390,11,2,85,86,90,94])). % 1.79/1.80 cnf(931,plain, % 1.79/1.80 (P3(f20(f20(a1,x9311),x9311))), % 1.79/1.80 inference(scs_inference,[],[198,800,810,697,701,703,814,716,876,720,136,769,744,749,780,865,868,891,846,111,112,114,116,117,298,391,426,380,502,552,534,418,382,539,376,428,429,427,375,370,526,608,500,553,544,458,532,334,425,453,401,381,397,540,424,390,11,2,85,86,90,94,95])). % 1.79/1.80 cnf(932,plain, % 1.79/1.80 (P11(f20(f20(a1,x9321),x9321))), % 1.79/1.80 inference(scs_inference,[],[198,800,810,697,701,703,814,716,876,720,136,769,744,749,780,865,868,891,846,111,112,114,116,117,119,298,391,426,380,502,552,534,418,382,539,376,428,429,427,375,370,526,608,500,553,544,458,532,334,425,453,401,381,397,540,424,390,11,2,85,86,90,94,95,97])). % 1.79/1.80 cnf(933,plain, % 1.79/1.80 (P16(f20(f20(a1,x9331),x9331))), % 1.79/1.80 inference(scs_inference,[],[198,800,810,697,701,703,814,716,876,720,136,769,744,749,780,865,868,891,846,111,112,114,116,117,119,122,298,391,426,380,502,552,534,418,382,539,376,428,429,427,375,370,526,608,500,553,544,458,532,334,425,453,401,381,397,540,424,390,11,2,85,86,90,94,95,97,98])). % 1.79/1.80 cnf(934,plain, % 1.79/1.80 (P15(f20(f20(a1,x9341),x9341))), % 1.79/1.80 inference(scs_inference,[],[198,800,810,697,701,703,814,716,876,720,136,769,744,749,780,865,868,891,846,111,112,114,116,117,119,121,122,298,391,426,380,502,552,534,418,382,539,376,428,429,427,375,370,526,608,500,553,544,458,532,334,425,453,401,381,397,540,424,390,11,2,85,86,90,94,95,97,98,99])). % 1.79/1.80 cnf(936,plain, % 1.79/1.80 (P6(x9361,f19(f37(x9361,x9362,a41)),a41)), % 1.79/1.80 inference(rename_variables,[],[707])). % 1.79/1.80 cnf(938,plain, % 1.79/1.80 (~P6(f30(x9381,f27(x9382)),f17(f4(x9383,f3(a2))),a41)), % 1.79/1.80 inference(scs_inference,[],[198,318,800,810,707,697,701,703,814,716,876,720,136,769,744,749,780,865,868,891,846,111,112,114,116,117,119,121,122,298,391,426,380,502,552,534,418,382,539,376,428,429,427,375,370,526,608,500,553,544,458,532,334,425,453,401,381,397,540,424,390,11,2,85,86,90,94,95,97,98,99,490,486])). % 1.79/1.80 cnf(941,plain, % 1.79/1.80 (P6(x9411,f37(x9411,x9412,x9413),x9414)), % 1.79/1.80 inference(rename_variables,[],[695])). % 1.79/1.80 cnf(943,plain, % 1.79/1.80 (P8(f37(f29(a45,f30(f27(a48),f27(a48))),f37(f29(f32(a33,a46),f30(f32(a28,a45),f25(a47))),f19(f4(a21,a44)),a41),a41),f18(f4(a21,a44)),f43(a41,a1))), % 1.79/1.80 inference(scs_inference,[],[198,318,695,800,810,707,697,701,703,814,716,876,824,720,136,769,744,749,780,865,868,891,846,111,112,114,116,117,119,121,122,298,391,426,380,502,552,534,418,382,539,376,428,429,427,375,370,526,608,500,553,544,458,532,334,425,453,401,381,397,540,424,390,11,2,85,86,90,94,95,97,98,99,490,486,499,541])). % 1.79/1.80 cnf(946,plain, % 1.79/1.80 (P8(x9461,x9461,f43(x9462,a1))), % 1.79/1.80 inference(rename_variables,[],[155])). % 1.79/1.80 cnf(950,plain, % 1.79/1.80 (~E(f9(x9501,f16(x9502,f3(x9503),x9504),x9503),x9501)), % 1.79/1.80 inference(rename_variables,[],[749])). % 1.79/1.80 cnf(952,plain, % 1.79/1.80 (~P6(f29(x9521,f29(x9522,f27(x9523))),f17(f38(a28,x9524,a42,a41)),a41)), % 1.79/1.80 inference(scs_inference,[],[142,198,318,695,800,810,707,697,701,703,814,716,876,824,821,720,260,155,136,769,744,749,862,780,865,868,891,846,111,112,114,116,117,119,121,122,298,324,391,426,380,502,552,534,418,382,539,376,428,429,427,375,370,526,608,500,553,544,458,532,334,425,453,401,381,397,540,424,390,11,2,85,86,90,94,95,97,98,99,490,486,499,541,604,470,485])). % 1.79/1.80 cnf(956,plain, % 1.79/1.80 (P8(f19(f18(f19(x9561))),f18(x9561),f43(a41,a1))), % 1.79/1.80 inference(scs_inference,[],[142,198,318,695,800,810,707,697,701,703,814,834,716,876,824,821,720,260,155,136,769,744,749,862,780,865,868,891,846,111,112,114,116,117,119,121,122,128,298,324,391,426,380,502,552,534,418,382,539,376,428,429,427,375,370,526,608,500,553,544,458,532,334,425,453,401,381,397,540,424,390,11,2,85,86,90,94,95,97,98,99,490,486,499,541,604,470,485,92])). % 1.79/1.80 cnf(957,plain, % 1.79/1.80 (P8(f19(f18(x9571)),f18(x9571),f43(a41,a1))), % 1.79/1.80 inference(rename_variables,[],[834])). % 1.79/1.80 cnf(965,plain, % 1.79/1.80 (~P6(f30(x9651,f27(x9652)),f19(f18(f4(x9653,f3(a2)))),a41)), % 1.79/1.80 inference(scs_inference,[],[142,198,318,695,941,800,699,810,707,697,701,703,139,741,814,834,957,716,876,824,821,720,260,155,136,769,744,749,862,950,780,865,868,891,846,111,112,114,116,117,119,121,122,128,298,324,391,426,380,502,552,534,418,382,539,376,428,429,427,375,370,526,608,500,553,544,458,532,334,425,453,401,381,397,540,424,390,11,2,85,86,90,94,95,97,98,99,490,486,499,541,604,470,485,92,3,87,508,482])). % 1.79/1.80 cnf(966,plain, % 1.79/1.80 (P8(f19(f18(x9661)),f18(x9661),f43(a41,a1))), % 1.79/1.80 inference(rename_variables,[],[834])). % 1.79/1.80 cnf(973,plain, % 1.79/1.80 (~E(f18(f4(a21,a44)),f11(f3(a2)))), % 1.79/1.80 inference(scs_inference,[],[142,198,318,695,941,800,699,810,707,697,701,703,139,259,741,814,834,957,716,876,824,821,720,260,155,136,270,769,744,749,862,950,780,865,868,891,846,786,111,112,114,116,117,119,121,122,128,317,298,324,391,426,380,502,552,534,418,382,539,376,428,429,427,375,370,526,608,500,553,544,458,532,334,425,453,401,381,397,540,424,390,11,2,85,86,90,94,95,97,98,99,490,486,499,541,604,470,485,92,3,87,508,482,89,472,88])). % 1.79/1.80 cnf(975,plain, % 1.79/1.80 (P17(f32(f18(f4(a21,a44)),f29(f32(a33,a46),f30(f32(a28,a45),f25(a47)))))), % 1.79/1.80 inference(scs_inference,[],[142,198,318,695,941,800,699,810,707,697,701,703,139,259,741,814,834,957,716,876,824,821,720,260,155,136,270,769,744,749,862,950,780,865,868,891,846,786,111,112,114,116,117,119,121,122,128,317,298,324,209,391,426,380,502,552,534,418,382,539,376,428,429,427,375,370,526,608,500,553,544,458,532,334,425,453,401,381,397,540,424,390,11,2,85,86,90,94,95,97,98,99,490,486,499,541,604,470,485,92,3,87,508,482,89,472,88,432])). % 1.79/1.80 cnf(978,plain, % 1.79/1.80 (~E(x9781,f16(x9782,x9781,x9783))), % 1.79/1.80 inference(scs_inference,[],[142,198,318,695,941,800,699,810,707,697,701,703,139,259,741,814,834,957,716,876,824,821,720,260,155,136,270,769,744,747,749,862,950,780,865,868,891,846,786,111,112,114,116,117,119,121,122,128,317,298,141,324,209,391,426,380,502,552,534,418,382,539,376,428,429,427,375,370,526,608,500,553,544,458,532,334,425,453,401,381,397,540,424,390,11,2,85,86,90,94,95,97,98,99,490,486,499,541,604,470,485,92,3,87,508,482,89,472,88,432,108])). % 1.79/1.80 cnf(986,plain, % 1.79/1.80 (~P6(f30(x9861,f32(a28,a45)),f17(f19(f4(a21,a44))),a41)), % 1.79/1.80 inference(scs_inference,[],[142,198,318,695,941,797,800,699,810,707,936,697,701,703,139,259,741,814,834,957,966,716,876,824,821,720,260,155,946,136,270,769,744,747,749,862,950,780,865,868,891,846,786,111,112,114,116,117,119,121,122,128,317,298,141,324,209,391,426,380,502,552,534,418,382,539,376,428,429,427,375,370,526,608,500,553,544,458,532,334,425,453,401,381,397,540,424,390,11,2,85,86,90,94,95,97,98,99,490,486,499,541,604,470,485,92,3,87,508,482,89,472,88,432,108,91,587,459])). % 1.79/1.80 cnf(988,plain, % 1.79/1.80 (~P6(f30(f32(a28,a45),x9881),f17(f19(f4(a21,a44))),a41)), % 1.79/1.80 inference(scs_inference,[],[142,198,318,695,941,797,800,699,810,707,936,697,701,703,139,259,741,814,834,957,966,716,876,824,821,720,260,155,946,136,270,769,744,747,749,862,950,780,865,868,891,846,786,111,112,114,116,117,119,121,122,128,317,298,141,324,209,391,426,380,502,552,534,418,382,539,376,428,429,427,375,370,526,608,500,553,544,458,532,334,425,453,401,381,397,540,424,390,11,2,85,86,90,94,95,97,98,99,490,486,499,541,604,470,485,92,3,87,508,482,89,472,88,432,108,91,587,459,460])). % 1.79/1.80 cnf(990,plain, % 1.79/1.80 (~P8(f19(f37(f32(a28,a45),x9901,a41)),f19(f4(a21,a44)),f43(a41,a1))), % 1.79/1.80 inference(scs_inference,[],[142,198,318,695,941,797,800,699,810,707,936,697,701,703,139,259,741,814,834,957,966,716,876,824,821,720,260,155,946,136,270,769,744,747,749,862,950,780,865,868,891,846,786,111,112,114,116,117,119,121,122,128,317,298,141,324,209,391,426,380,502,552,534,418,382,539,376,428,429,427,375,370,526,608,500,553,544,458,532,334,425,453,401,381,397,540,424,390,11,2,85,86,90,94,95,97,98,99,490,486,499,541,604,470,485,92,3,87,508,482,89,472,88,432,108,91,587,459,460,454])). % 1.79/1.80 cnf(1005,plain, % 1.79/1.80 (~E(f9(f16(x10051,f3(x10052),x10053),x10054,x10052),x10054)), % 1.79/1.80 inference(rename_variables,[],[752])). % 1.79/1.80 cnf(1008,plain, % 1.79/1.80 (~E(f9(f16(x10081,f3(x10082),x10083),x10084,x10082),x10084)), % 1.79/1.80 inference(rename_variables,[],[752])). % 1.79/1.80 cnf(1010,plain, % 1.79/1.80 (~P8(f19(f19(f37(f32(a28,a45),x10101,a41))),f19(f4(a21,a44)),f43(a41,a1))), % 1.79/1.80 inference(scs_inference,[],[752,1005,990,380,502,454])). % 1.79/1.80 cnf(1014,plain, % 1.79/1.80 (~P6(f30(x10141,f30(x10142,f32(a28,a45))),f4(a21,a44),a41)), % 1.79/1.80 inference(scs_inference,[],[857,752,1005,990,380,502,454,439,391])). % 1.79/1.80 cnf(1017,plain, % 1.79/1.80 (P8(x10171,f37(x10172,x10171,x10173),f43(x10173,a1))), % 1.79/1.80 inference(rename_variables,[],[190])). % 1.79/1.80 cnf(1021,plain, % 1.79/1.80 (~P7(f18(f4(a21,a44)),f11(f3(a2)),x10211)), % 1.79/1.80 inference(scs_inference,[],[973,857,988,190,752,1005,990,380,502,454,439,391,552,460,370])). % 1.79/1.80 cnf(1023,plain, % 1.79/1.80 (P6(x10231,f37(x10232,f37(x10231,x10233,x10234),x10234),x10234)), % 1.79/1.80 inference(scs_inference,[],[973,857,988,190,1017,752,1005,990,380,502,454,439,391,552,460,370,526])). % 1.79/1.80 cnf(1024,plain, % 1.79/1.80 (P8(x10241,f37(x10242,x10241,x10243),f43(x10243,a1))), % 1.79/1.80 inference(rename_variables,[],[190])). % 1.79/1.80 cnf(1027,plain, % 1.79/1.80 (~E(f9(f16(x10271,f3(x10272),x10273),x10274,x10272),x10274)), % 1.79/1.80 inference(rename_variables,[],[752])). % 1.79/1.80 cnf(1029,plain, % 1.79/1.80 (P8(x10291,f37(x10292,f10(x10291,x10293,f43(x10294,a1)),x10294),f43(x10294,a1))), % 1.79/1.80 inference(scs_inference,[],[973,857,988,190,1017,1024,752,1005,1008,990,380,502,454,439,391,552,460,370,526,418,553])). % 1.79/1.80 cnf(1030,plain, % 1.79/1.80 (P8(x10301,f37(x10302,x10301,x10303),f43(x10303,a1))), % 1.79/1.80 inference(rename_variables,[],[190])). % 1.79/1.80 cnf(1032,plain, % 1.79/1.80 (~P6(f30(x10321,f30(f32(a28,a45),x10322)),f17(f19(f4(a21,a44))),a41)), % 1.79/1.80 inference(scs_inference,[],[973,857,988,190,1017,1024,752,1005,1008,990,380,502,454,439,391,552,460,370,526,418,553,459])). % 1.79/1.80 cnf(1036,plain, % 1.79/1.80 (~E(f9(x10361,f9(f16(x10362,f3(x10363),x10364),f3(x10365),x10363),x10365),x10361)), % 1.79/1.80 inference(scs_inference,[],[973,965,857,988,190,1017,1024,752,1005,1008,1027,990,380,502,454,439,391,552,460,370,526,418,553,459,427,375])). % 1.79/1.80 cnf(1037,plain, % 1.79/1.80 (~E(f9(f16(x10371,f3(x10372),x10373),x10374,x10372),x10374)), % 1.79/1.80 inference(rename_variables,[],[752])). % 1.79/1.80 cnf(1041,plain, % 1.79/1.80 (P8(x10411,f37(x10412,f37(x10413,x10411,x10414),x10414),f43(x10414,a1))), % 1.79/1.80 inference(scs_inference,[],[943,973,965,857,988,190,1017,1024,1030,752,1005,1008,1027,990,380,502,454,439,391,552,460,370,526,418,553,459,427,375,544,534])). % 1.79/1.80 cnf(1042,plain, % 1.79/1.80 (P8(x10421,f37(x10422,x10421,x10423),f43(x10423,a1))), % 1.79/1.80 inference(rename_variables,[],[190])). % 1.79/1.80 cnf(1045,plain, % 1.79/1.80 (~E(f9(f16(x10451,f3(x10452),x10453),x10454,x10452),x10454)), % 1.79/1.80 inference(rename_variables,[],[752])). % 1.79/1.80 cnf(1048,plain, % 1.79/1.80 (~E(f9(f16(x10481,f3(x10482),x10483),x10484,x10482),x10484)), % 1.79/1.80 inference(rename_variables,[],[752])). % 1.79/1.80 cnf(1050,plain, % 1.79/1.80 (~P6(f27(x10501),f17(f17(f38(a28,x10502,a42,a41))),a41)), % 1.79/1.80 inference(scs_inference,[],[943,973,965,857,714,988,190,1017,1024,1030,752,1005,1008,1027,1037,1045,990,380,502,454,439,391,552,460,370,526,418,553,459,427,375,544,534,381,376,401])). % 1.79/1.80 cnf(1054,plain, % 1.79/1.80 (~P6(f30(f30(f27(x10541),x10542),x10543),f11(f3(a2)),a41)), % 1.79/1.80 inference(scs_inference,[],[943,973,965,857,714,988,722,190,1017,1024,1030,752,1005,1008,1027,1037,1045,990,380,502,454,439,391,552,460,370,526,418,553,459,427,375,544,534,381,376,401,426,429])). % 1.79/1.80 cnf(1056,plain, % 1.79/1.80 (P6(f29(f32(a33,a46),f30(f32(a28,a45),f25(a47))),f18(f4(a21,a44)),x10561)), % 1.79/1.80 inference(scs_inference,[],[943,973,965,857,714,975,988,722,190,1017,1024,1030,752,1005,1008,1027,1037,1045,990,380,502,454,439,391,552,460,370,526,418,553,459,427,375,544,534,381,376,401,426,429,382])). % 1.79/1.80 cnf(1059,plain, % 1.79/1.80 (~P6(f30(f27(x10591),x10592),f18(f4(x10593,f3(a2))),a41)), % 1.79/1.80 inference(rename_variables,[],[718])). % 1.79/1.80 cnf(1061,plain, % 1.79/1.80 (~P8(f18(f18(f18(f4(a21,a44)))),f18(f4(x10611,f3(a2))),f43(a41,a1))), % 1.79/1.80 inference(scs_inference,[],[943,973,965,857,718,714,975,988,722,190,1017,1024,1030,752,1005,1008,1027,1037,1045,910,990,380,502,454,439,391,552,460,370,526,418,553,459,427,375,544,534,381,376,401,426,429,382,539,453])). % 1.79/1.80 cnf(1063,plain, % 1.79/1.80 (~P6(f30(x10631,f30(f27(x10632),x10633)),f18(f4(x10634,f3(a2))),a41)), % 1.79/1.80 inference(scs_inference,[],[943,973,965,857,718,1059,714,975,988,722,190,1017,1024,1030,752,1005,1008,1027,1037,1045,910,990,380,502,454,439,391,552,460,370,526,418,553,459,427,375,544,534,381,376,401,426,429,382,539,453,424])). % 1.79/1.80 cnf(1074,plain, % 1.79/1.80 (~E(f9(f16(x10741,f3(x10742),x10743),x10744,x10742),x10744)), % 1.79/1.80 inference(rename_variables,[],[752])). % 1.79/1.80 cnf(1079,plain, % 1.79/1.80 (~P6(f30(f27(x10791),x10792),f4(x10793,f3(a2)),a41)), % 1.79/1.80 inference(scs_inference,[],[943,973,890,965,857,718,1059,714,975,988,722,190,1017,1024,1030,752,1005,1008,1027,1037,1045,1048,910,990,380,502,454,439,391,552,460,370,526,418,553,459,427,375,544,534,381,376,401,426,429,382,539,453,424,425,500,532,428,334,608,390])). % 1.79/1.80 cnf(1085,plain, % 1.79/1.80 (E(x10851,f15(f15(x10851,f43(x10852,a1)),f43(x10852,a1)))), % 1.79/1.80 inference(scs_inference,[],[943,973,890,965,857,718,1059,714,975,988,722,165,190,1017,1024,1030,752,1005,1008,1027,1037,1045,1048,910,990,313,380,502,454,439,391,552,460,370,526,418,553,459,427,375,544,534,381,376,401,426,429,382,539,453,424,425,500,532,428,334,608,390,11,397,2])). % 1.79/1.80 cnf(1089,plain, % 1.79/1.80 (P8(x10891,f37(x10892,x10891,x10893),f43(x10893,a1))), % 1.79/1.80 inference(rename_variables,[],[190])). % 1.79/1.80 cnf(1091,plain, % 1.79/1.80 (~P8(f37(f32(a28,a45),x10911,x10912),f19(f4(a21,a44)),f43(a41,a1))), % 1.79/1.80 inference(scs_inference,[],[318,873,943,973,890,965,857,884,718,1059,714,956,975,988,722,165,190,1017,1024,1030,1042,752,1005,1008,1027,1037,1045,1048,910,990,313,380,502,454,439,391,552,460,370,526,418,553,459,427,375,544,534,381,376,401,426,429,382,539,453,424,425,500,532,428,334,608,390,11,397,2,540,509,490])). % 1.79/1.80 cnf(1092,plain, % 1.79/1.80 (P6(x10921,f19(f37(x10921,x10922,x10923)),x10924)), % 1.79/1.80 inference(rename_variables,[],[873])). % 1.79/1.80 cnf(1094,plain, % 1.79/1.80 (P9(f20(f20(f20(f20(a1,x10941),x10941),x10942),x10942))), % 1.79/1.80 inference(scs_inference,[],[318,873,943,973,890,965,857,884,718,1059,714,926,956,928,975,988,722,165,190,1017,1024,1030,1042,752,1005,1008,1027,1037,1045,1048,910,990,313,380,502,454,439,391,552,460,370,526,418,553,459,427,375,544,534,381,376,401,426,429,382,539,453,424,425,500,532,428,334,608,390,11,397,2,540,509,490,86])). % 1.79/1.80 cnf(1095,plain, % 1.79/1.80 (E(x10951,f20(f20(x10951,x10952),x10952))), % 1.79/1.80 inference(rename_variables,[],[926])). % 1.79/1.80 cnf(1096,plain, % 1.79/1.80 (P15(f20(f20(f20(f20(a1,x10961),x10961),x10962),x10962))), % 1.79/1.80 inference(scs_inference,[],[318,873,943,973,890,965,857,884,718,1059,714,926,1095,956,928,934,975,988,722,165,190,1017,1024,1030,1042,752,1005,1008,1027,1037,1045,1048,910,990,313,380,502,454,439,391,552,460,370,526,418,553,459,427,375,544,534,381,376,401,426,429,382,539,453,424,425,500,532,428,334,608,390,11,397,2,540,509,490,86,99])). % 1.79/1.80 cnf(1097,plain, % 1.79/1.80 (E(x10971,f20(f20(x10971,x10972),x10972))), % 1.79/1.80 inference(rename_variables,[],[926])). % 1.79/1.80 cnf(1098,plain, % 1.79/1.80 (P2(f20(f20(f20(f20(a1,x10981),x10981),x10982),x10982))), % 1.79/1.80 inference(scs_inference,[],[318,873,943,973,890,965,857,884,718,1059,714,926,1095,1097,956,928,930,934,975,988,722,165,190,1017,1024,1030,1042,752,1005,1008,1027,1037,1045,1048,910,990,313,380,502,454,439,391,552,460,370,526,418,553,459,427,375,544,534,381,376,401,426,429,382,539,453,424,425,500,532,428,334,608,390,11,397,2,540,509,490,86,99,94])). % 1.79/1.80 cnf(1099,plain, % 1.79/1.80 (E(x10991,f20(f20(x10991,x10992),x10992))), % 1.79/1.80 inference(rename_variables,[],[926])). % 1.79/1.80 cnf(1100,plain, % 1.79/1.80 (~P6(f30(f27(x11001),f30(x11002,f27(x11003))),f17(f4(x11004,f3(a2))),a41)), % 1.79/1.80 inference(scs_inference,[],[318,873,943,973,890,965,857,884,718,1059,714,926,1095,1097,956,928,930,934,975,938,988,722,165,190,1017,1024,1030,1042,752,1005,1008,1027,1037,1045,1048,910,990,313,380,502,454,439,391,552,460,370,526,418,553,459,427,375,544,534,381,376,401,426,429,382,539,453,424,425,500,532,428,334,608,390,11,397,2,540,509,490,86,99,94,486])). % 1.79/1.80 cnf(1103,plain, % 1.79/1.80 (P6(f32(x11031,a44),f37(x11032,f38(x11031,a34,f40(a2),x11033),x11033),x11033)), % 1.79/1.80 inference(scs_inference,[],[142,318,873,943,973,890,965,857,884,718,1059,714,926,1095,1097,956,928,930,934,975,938,988,722,165,190,1017,1024,1030,1042,1089,752,1005,1008,1027,1037,1045,1048,910,990,313,380,502,454,439,391,552,460,370,526,418,553,459,427,375,544,534,381,376,401,426,429,382,539,453,424,425,500,532,428,334,608,390,11,397,2,540,509,490,86,99,94,486,604])). % 1.79/1.80 cnf(1104,plain, % 1.79/1.80 (P8(x11041,f37(x11042,x11041,x11043),f43(x11043,a1))), % 1.79/1.80 inference(rename_variables,[],[190])). % 1.79/1.80 cnf(1106,plain, % 1.79/1.80 (P4(f20(f20(f20(f3(a2),a2),x11061),x11061))), % 1.79/1.80 inference(scs_inference,[],[142,318,873,943,973,890,965,857,884,718,1059,714,926,1095,1097,1099,956,928,930,934,975,938,836,988,722,165,190,1017,1024,1030,1042,1089,752,1005,1008,1027,1037,1045,1048,910,990,313,380,502,454,439,391,552,460,370,526,418,553,459,427,375,544,534,381,376,401,426,429,382,539,453,424,425,500,532,428,334,608,390,11,397,2,540,509,490,86,99,94,486,604,106])). % 1.79/1.80 cnf(1107,plain, % 1.79/1.80 (E(x11071,f20(f20(x11071,x11072),x11072))), % 1.79/1.80 inference(rename_variables,[],[926])). % 1.79/1.80 cnf(1108,plain, % 1.79/1.80 (P17(f20(f20(f32(f18(f4(a21,a44)),f29(f32(a33,a46),f30(f32(a28,a45),f25(a47)))),x11081),x11081))), % 1.79/1.80 inference(scs_inference,[],[142,318,873,943,973,890,965,857,884,718,1059,714,926,1095,1097,1099,1107,956,928,930,934,975,938,836,988,722,165,190,1017,1024,1030,1042,1089,752,1005,1008,1027,1037,1045,1048,910,990,313,380,502,454,439,391,552,460,370,526,418,553,459,427,375,544,534,381,376,401,426,429,382,539,453,424,425,500,532,428,334,608,390,11,397,2,540,509,490,86,99,94,486,604,106,96])). % 1.79/1.80 cnf(1109,plain, % 1.79/1.80 (E(x11091,f20(f20(x11091,x11092),x11092))), % 1.79/1.80 inference(rename_variables,[],[926])). % 1.79/1.80 cnf(1110,plain, % 1.79/1.80 (P6(f29(x11101,f25(x11102)),f17(f19(f37(f32(a28,x11101),x11103,x11104))),a41)), % 1.79/1.80 inference(scs_inference,[],[142,318,873,1092,943,973,890,965,857,884,150,718,1059,714,926,1095,1097,1099,1107,956,928,930,934,975,938,836,988,722,165,190,1017,1024,1030,1042,1089,752,1005,1008,1027,1037,1045,1048,910,990,313,380,502,454,439,391,552,460,370,526,418,553,459,427,375,544,534,381,376,401,426,429,382,539,453,424,425,500,532,428,334,608,390,11,397,2,540,509,490,86,99,94,486,604,106,96,499])). % 1.79/1.80 cnf(1114,plain, % 1.79/1.80 (P11(f20(f20(f20(f20(a1,x11141),x11141),x11142),x11142))), % 1.79/1.80 inference(scs_inference,[],[142,318,873,1092,943,973,890,965,857,884,150,718,1059,714,926,1095,1097,1099,1107,1109,956,928,930,932,934,975,938,836,988,722,165,190,1017,1024,1030,1042,1089,752,1005,1008,1027,1037,1045,1048,910,990,313,380,502,454,439,391,552,460,370,526,418,553,459,427,375,544,534,381,376,401,426,429,382,539,453,424,425,500,532,428,334,608,390,11,397,2,540,509,490,86,99,94,486,604,106,96,499,97])). % 1.79/1.80 cnf(1115,plain, % 1.79/1.80 (E(x11151,f20(f20(x11151,x11152),x11152))), % 1.79/1.80 inference(rename_variables,[],[926])). % 1.79/1.80 cnf(1116,plain, % 1.79/1.80 (~P6(f29(x11161,f29(x11162,f29(x11163,f27(x11164)))),f17(f38(a28,x11165,a42,a41)),a41)), % 1.79/1.80 inference(scs_inference,[],[142,318,873,1092,943,973,890,965,857,884,150,718,1059,714,926,1095,1097,1099,1107,1109,956,928,930,932,934,975,938,836,988,952,722,165,190,1017,1024,1030,1042,1089,752,1005,1008,1027,1037,1045,1048,910,990,313,324,380,502,454,439,391,552,460,370,526,418,553,459,427,375,544,534,381,376,401,426,429,382,539,453,424,425,500,532,428,334,608,390,11,397,2,540,509,490,86,99,94,486,604,106,96,499,97,485])). % 1.79/1.80 cnf(1120,plain, % 1.79/1.80 (P8(f37(f29(a45,f30(f27(a48),f27(a48))),f37(f29(a45,f30(f27(a48),f27(a48))),f37(f29(f32(a33,a46),f30(f32(a28,a45),f25(a47))),f19(f4(a21,a44)),a41),a41),a41),f18(f4(a21,a44)),f43(a41,a1))), % 1.79/1.80 inference(scs_inference,[],[142,198,318,873,1092,943,973,890,965,857,884,150,718,1059,714,926,1095,1097,1099,1107,1109,956,928,930,932,934,975,938,836,988,952,722,165,190,1017,1024,1030,1042,1089,752,1005,1008,1027,1037,1045,1048,910,990,313,324,380,502,454,439,391,552,460,370,526,418,553,459,427,375,544,534,381,376,401,426,429,382,539,453,424,425,500,532,428,334,608,390,11,397,2,540,509,490,86,99,94,486,604,106,96,499,97,485,541])). % 1.79/1.80 cnf(1129,plain, % 1.79/1.80 (P3(f20(f20(f20(f20(a1,x11291),x11291),x11292),x11292))), % 1.79/1.80 inference(scs_inference,[],[142,198,318,873,1092,943,973,890,965,857,884,150,718,1059,714,926,1095,1097,1099,1107,1109,1115,956,928,930,931,932,934,975,938,836,988,986,952,722,260,165,190,1017,1024,1030,1042,1089,752,1005,1008,1027,1037,1045,1048,1074,910,990,313,324,380,502,454,439,391,552,460,370,526,418,553,459,427,375,544,534,381,376,401,426,429,382,539,453,424,425,500,532,428,334,608,390,11,397,2,540,509,490,86,99,94,486,604,106,96,499,97,485,541,470,487,95])). % 1.79/1.80 cnf(1130,plain, % 1.79/1.80 (E(x11301,f20(f20(x11301,x11302),x11302))), % 1.79/1.80 inference(rename_variables,[],[926])). % 1.79/1.80 cnf(1131,plain, % 1.79/1.80 (P12(f20(f20(a42,x11311),x11311))), % 1.79/1.80 inference(scs_inference,[],[142,198,318,873,1092,943,973,890,965,857,884,150,718,1059,714,926,1095,1097,1099,1107,1109,1115,1130,956,928,930,931,932,934,975,938,836,988,986,952,722,260,165,190,1017,1024,1030,1042,1089,752,1005,1008,1027,1037,1045,1048,1074,910,990,313,124,324,380,502,454,439,391,552,460,370,526,418,553,459,427,375,544,534,381,376,401,426,429,382,539,453,424,425,500,532,428,334,608,390,11,397,2,540,509,490,86,99,94,486,604,106,96,499,97,485,541,470,487,95,101])). % 1.79/1.80 cnf(1132,plain, % 1.79/1.80 (E(x11321,f20(f20(x11321,x11322),x11322))), % 1.79/1.80 inference(rename_variables,[],[926])). % 1.79/1.80 cnf(1133,plain, % 1.79/1.80 (P1(f20(f20(f20(f20(a1,x11331),x11331),x11332),x11332))), % 1.79/1.80 inference(scs_inference,[],[142,198,318,873,1092,943,973,890,965,857,884,150,718,1059,714,926,1095,1097,1099,1107,1109,1115,1130,1132,956,927,928,930,931,932,934,975,938,836,988,986,952,722,260,165,190,1017,1024,1030,1042,1089,752,1005,1008,1027,1037,1045,1048,1074,910,990,313,124,324,380,502,454,439,391,552,460,370,526,418,553,459,427,375,544,534,381,376,401,426,429,382,539,453,424,425,500,532,428,334,608,390,11,397,2,540,509,490,86,99,94,486,604,106,96,499,97,485,541,470,487,95,101,85])). % 1.79/1.80 cnf(1134,plain, % 1.79/1.80 (E(x11341,f20(f20(x11341,x11342),x11342))), % 1.79/1.80 inference(rename_variables,[],[926])). % 1.79/1.80 cnf(1135,plain, % 1.79/1.80 (P10(f20(f20(f20(f20(a1,x11351),x11351),x11352),x11352))), % 1.79/1.80 inference(scs_inference,[],[142,198,318,873,1092,943,973,890,965,857,884,150,718,1059,714,926,1095,1097,1099,1107,1109,1115,1130,1132,1134,956,927,928,929,930,931,932,934,975,938,836,988,986,952,722,260,165,190,1017,1024,1030,1042,1089,752,1005,1008,1027,1037,1045,1048,1074,910,990,313,124,324,380,502,454,439,391,552,460,370,526,418,553,459,427,375,544,534,381,376,401,426,429,382,539,453,424,425,500,532,428,334,608,390,11,397,2,540,509,490,86,99,94,486,604,106,96,499,97,485,541,470,487,95,101,85,90])). % 1.79/1.80 cnf(1136,plain, % 1.79/1.80 (E(x11361,f20(f20(x11361,x11362),x11362))), % 1.79/1.80 inference(rename_variables,[],[926])). % 1.79/1.80 cnf(1140,plain, % 1.79/1.80 (P17(f32(f37(x11401,f18(f4(a21,a44)),x11402),f29(f32(a33,a46),f30(f32(a28,a45),f25(a47)))))), % 1.79/1.80 inference(scs_inference,[],[142,198,318,873,1092,943,973,890,965,922,857,884,139,150,718,1059,714,926,1095,1097,1099,1107,1109,1115,1130,1132,1134,956,927,928,929,930,931,932,934,975,938,836,988,986,952,722,260,165,190,1017,1024,1030,1042,1089,1104,752,1005,1008,1027,1037,1045,1048,1074,910,990,313,124,324,380,502,454,439,391,552,460,370,526,418,553,459,427,375,544,534,381,376,401,426,429,382,539,453,424,425,500,532,428,334,608,390,11,397,2,540,509,490,86,99,94,486,604,106,96,499,97,485,541,470,487,95,101,85,90,508,432])). % 1.79/1.80 cnf(1141,plain, % 1.79/1.80 (P8(x11411,f37(x11412,x11411,x11413),f43(x11413,a1))), % 1.79/1.80 inference(rename_variables,[],[190])). % 1.79/1.80 cnf(1143,plain, % 1.79/1.80 (P16(f20(f20(f20(f20(a1,x11431),x11431),x11432),x11432))), % 1.79/1.80 inference(scs_inference,[],[142,198,318,873,1092,943,973,890,965,922,857,884,139,150,718,1059,714,926,1095,1097,1099,1107,1109,1115,1130,1132,1134,1136,956,927,928,929,930,931,932,933,934,975,938,836,988,986,952,722,260,165,190,1017,1024,1030,1042,1089,1104,752,1005,1008,1027,1037,1045,1048,1074,910,990,313,124,324,380,502,454,439,391,552,460,370,526,418,553,459,427,375,544,534,381,376,401,426,429,382,539,453,424,425,500,532,428,334,608,390,11,397,2,540,509,490,86,99,94,486,604,106,96,499,97,485,541,470,487,95,101,85,90,508,432,98])). % 1.79/1.80 cnf(1144,plain, % 1.79/1.80 (E(x11441,f20(f20(x11441,x11442),x11442))), % 1.79/1.80 inference(rename_variables,[],[926])). % 1.79/1.80 cnf(1146,plain, % 1.79/1.80 (E(x11461,f20(f20(x11461,x11462),x11462))), % 1.79/1.80 inference(rename_variables,[],[926])). % 1.79/1.80 cnf(1148,plain, % 1.79/1.80 (E(x11481,f20(f20(x11481,x11482),x11482))), % 1.79/1.80 inference(rename_variables,[],[926])). % 1.79/1.80 cnf(1150,plain, % 1.79/1.80 (E(x11501,f20(f20(x11501,x11502),x11502))), % 1.79/1.80 inference(rename_variables,[],[926])). % 1.79/1.80 cnf(1157,plain, % 1.79/1.80 (~P6(f30(f27(x11571),f30(x11572,f27(x11573))),f19(f18(f19(f4(x11574,f3(a2))))),a41)), % 1.79/1.80 inference(scs_inference,[],[142,198,318,873,1092,943,973,890,965,922,857,884,139,150,718,1059,714,926,1095,1097,1099,1107,1109,1115,1130,1132,1134,1136,1144,1146,1148,956,927,928,929,930,931,932,933,934,975,938,836,988,986,952,722,260,165,190,1017,1024,1030,1042,1089,1104,1141,752,1005,1008,1027,1037,1045,1048,1074,910,990,313,170,124,324,380,502,454,439,391,552,460,370,526,418,553,459,427,375,544,534,381,376,401,426,429,382,539,453,424,425,500,532,428,334,608,390,11,397,2,540,509,490,86,99,94,486,604,106,96,499,97,485,541,470,487,95,101,85,90,508,432,98,93,89,88,472,3,482])). % 1.79/1.80 cnf(1162,plain, % 1.79/1.80 (E(x11621,f20(f20(x11621,x11622),x11622))), % 1.79/1.80 inference(rename_variables,[],[926])). % 1.79/1.80 cnf(1163,plain, % 1.79/1.80 (P8(f37(f29(a45,f30(f27(a48),f27(a48))),f37(f29(f32(a33,a46),f30(f32(a28,a45),f25(a47))),f19(f4(a21,a44)),a41),a41),f20(f20(f18(f4(a21,a44)),x11631),x11631),f43(a41,a1))), % 1.79/1.80 inference(scs_inference,[],[142,198,318,873,1092,943,973,890,965,922,857,884,139,150,718,1059,714,926,1095,1097,1099,1107,1109,1115,1130,1132,1134,1136,1144,1146,1148,1150,1162,956,927,928,929,930,931,932,933,934,975,938,836,988,986,952,722,260,165,190,1017,1024,1030,1042,1089,1104,1141,752,1005,1008,1027,1037,1045,1048,1074,910,990,313,170,124,324,380,502,454,439,391,552,460,370,526,418,553,459,427,375,544,534,381,376,401,426,429,382,539,453,424,425,500,532,428,334,608,390,11,397,2,540,509,490,86,99,94,486,604,106,96,499,97,485,541,470,487,95,101,85,90,508,432,98,93,89,88,472,3,482,87,92])). % 1.79/1.80 cnf(1164,plain, % 1.79/1.80 (E(x11641,f20(f20(x11641,x11642),x11642))), % 1.79/1.80 inference(rename_variables,[],[926])). % 1.79/1.80 cnf(1167,plain, % 1.79/1.80 (P8(f20(f20(f37(f29(a45,f30(f27(a48),f27(a48))),f37(f29(f32(a33,a46),f30(f32(a28,a45),f25(a47))),f19(f4(a21,a44)),a41),a41),x11671),x11671),f18(f4(a21,a44)),f43(a41,a1))), % 1.79/1.80 inference(scs_inference,[],[142,198,318,873,1092,943,973,890,965,922,857,884,139,150,718,1059,714,926,1095,1097,1099,1107,1109,1115,1130,1132,1134,1136,1144,1146,1148,1150,1162,1164,956,927,928,929,930,931,932,933,934,975,938,836,988,986,952,722,260,165,190,1017,1024,1030,1042,1089,1104,1141,752,1005,1008,1027,1037,1045,1048,1074,910,990,888,313,170,124,141,324,380,502,454,439,391,552,460,370,526,418,553,459,427,375,544,534,381,376,401,426,429,382,539,453,424,425,500,532,428,334,608,390,11,397,2,540,509,490,86,99,94,486,604,106,96,499,97,485,541,470,487,95,101,85,90,508,432,98,93,89,88,472,3,482,87,92,108,91])). % 1.79/1.80 cnf(1169,plain, % 1.79/1.80 (~P6(f30(f30(f32(a28,a45),x11691),x11692),f19(f4(a21,a44)),a41)), % 1.79/1.80 inference(scs_inference,[],[142,198,318,873,1092,943,973,890,965,922,857,884,139,150,718,1059,714,926,1095,1097,1099,1107,1109,1115,1130,1132,1134,1136,1144,1146,1148,1150,1162,1164,956,927,928,929,930,931,932,933,934,975,938,836,988,986,952,722,260,165,190,1017,1024,1030,1042,1089,1104,1141,752,1005,1008,1027,1037,1045,1048,1074,910,990,888,313,170,124,141,324,380,502,454,439,391,552,460,370,526,418,553,459,427,375,544,534,381,376,401,426,429,382,539,453,424,425,500,532,428,334,608,390,11,397,2,540,509,490,86,99,94,486,604,106,96,499,97,485,541,470,487,95,101,85,90,508,432,98,93,89,88,472,3,482,87,92,108,91,389])). % 1.79/1.80 cnf(1194,plain, % 1.79/1.80 (~E(f9(f20(f16(x11941,f3(x11942),x11943),x11942),x11944,x11942),x11944)), % 1.79/1.80 inference(rename_variables,[],[878])). % 1.79/1.80 cnf(1196,plain, % 1.79/1.80 (~P6(f30(f27(x11961),f30(x11962,f27(x11963))),f18(f19(f4(x11964,f3(a2)))),a41)), % 1.79/1.80 inference(scs_inference,[],[1157,878,380,391])). % 1.79/1.80 cnf(1198,plain, % 1.79/1.80 (~P6(f30(f30(x11981,f32(a28,a45)),x11982),f17(f19(f4(a21,a44))),a41)), % 1.79/1.80 inference(scs_inference,[],[1157,986,878,380,391,460])). % 1.79/1.80 cnf(1200,plain, % 1.79/1.80 (~P6(f30(x12001,f30(f32(a28,a45),x12002)),f19(f4(a21,a44)),a41)), % 1.79/1.80 inference(scs_inference,[],[1157,986,1032,878,380,391,460,389])). % 1.79/1.80 cnf(1202,plain, % 1.79/1.80 (~P7(a21,a46,x12021)), % 1.79/1.80 inference(scs_inference,[],[1157,809,986,1032,878,380,391,460,389,370])). % 1.79/1.80 cnf(1205,plain, % 1.79/1.80 (P8(x12051,f19(f10(f10(x12052,x12051,f43(a41,a1)),x12053,f43(a41,a1))),f43(a41,a1))), % 1.79/1.80 inference(rename_variables,[],[864])). % 1.79/1.80 cnf(1208,plain, % 1.79/1.80 (P8(x12081,f19(f10(f10(x12082,x12081,f43(a41,a1)),x12083,f43(a41,a1))),f43(a41,a1))), % 1.79/1.80 inference(rename_variables,[],[864])). % 1.79/1.80 cnf(1213,plain, % 1.79/1.80 (~E(f9(f20(f16(x12131,f3(x12132),x12133),x12132),x12134,x12132),x12134)), % 1.79/1.80 inference(rename_variables,[],[878])). % 1.79/1.80 cnf(1217,plain, % 1.79/1.80 (~P6(f30(f30(f27(x12171),f30(x12172,f27(x12173))),x12174),f19(f18(f19(f4(x12175,f3(a2))))),a41)), % 1.79/1.80 inference(scs_inference,[],[1120,1157,809,986,1163,1032,878,1194,864,1205,380,391,460,389,370,553,552,526,502,544,427])). % 1.79/1.80 cnf(1222,plain, % 1.79/1.80 (~E(f9(f20(f16(x12221,f3(x12222),x12223),x12222),x12224,x12222),x12224)), % 1.79/1.80 inference(rename_variables,[],[878])). % 1.79/1.80 cnf(1227,plain, % 1.79/1.80 (~E(f9(f20(f16(x12271,f3(x12272),x12273),x12272),x12274,x12272),x12274)), % 1.79/1.80 inference(rename_variables,[],[878])). % 1.79/1.80 cnf(1229,plain, % 1.79/1.80 (~P8(f18(f18(f18(f18(f4(a21,a44))))),f18(f4(x12291,f3(a2))),f43(a41,a1))), % 1.79/1.80 inference(scs_inference,[],[1091,1120,1157,809,986,1163,1032,878,1194,1213,1222,864,1205,1061,380,391,460,389,370,553,552,526,502,544,427,454,375,459,418,453])). % 1.79/1.80 cnf(1235,plain, % 1.79/1.80 (~P6(f27(x12351),f17(f19(f4(x12352,f3(a2)))),a41)), % 1.79/1.81 inference(scs_inference,[],[1091,1120,1157,809,986,1163,712,1032,878,1194,1213,1222,864,1205,1061,380,391,460,389,370,553,552,526,502,544,427,454,375,459,418,453,500,534,401])). % 1.79/1.81 cnf(1240,plain, % 1.79/1.81 (~E(f9(f20(f16(x12401,f3(x12402),x12403),x12402),x12404,x12402),x12404)), % 1.79/1.81 inference(rename_variables,[],[878])). % 1.79/1.81 cnf(1245,plain, % 1.79/1.81 (~P6(f30(f30(x12451,f27(x12452)),x12453),f18(f4(x12454,f3(a2))),a41)), % 1.79/1.81 inference(rename_variables,[],[908])). % 1.79/1.81 cnf(1254,plain, % 1.79/1.81 (~E(f9(f20(f16(x12541,f3(x12542),x12543),x12542),x12544,x12542),x12544)), % 1.79/1.81 inference(rename_variables,[],[878])). % 1.79/1.81 cnf(1267,plain, % 1.79/1.81 (~P6(f30(f30(x12671,f27(x12672)),x12673),f4(x12674,f3(a2)),a41)), % 1.79/1.81 inference(scs_inference,[],[1091,1120,1157,1169,809,986,908,1245,1140,1163,712,1032,880,878,1194,1213,1222,1227,1240,1254,864,1205,1061,380,391,460,389,370,553,552,526,502,544,427,454,375,459,418,453,500,534,401,429,376,424,539,438,425,382,381,426,428,334,397,540,390])). % 1.79/1.81 cnf(1273,plain, % 1.79/1.81 (P6(x12731,f37(x12732,f37(x12731,x12733,x12734),x12734),x12734)), % 1.79/1.81 inference(rename_variables,[],[1023])). % 1.79/1.81 cnf(1275,plain, % 1.79/1.81 (~P8(f10(f37(f32(a28,a45),x12751,a41),x12752,f43(a41,a1)),f19(f4(a21,a44)),f43(a41,a1))), % 1.79/1.81 inference(scs_inference,[],[318,1023,1091,1120,1157,1169,809,890,153,986,908,1245,1140,1163,712,1032,880,215,878,1194,1213,1222,1227,1240,1254,864,1205,1061,314,380,391,460,389,370,553,552,526,502,544,427,454,375,459,418,453,500,534,401,429,376,424,539,438,425,382,381,426,428,334,397,540,390,11,2,483,490])). % 1.79/1.81 cnf(1278,plain, % 1.79/1.81 (P8(f37(f29(a45,f30(f27(a48),f27(a48))),f37(f29(a45,f30(f27(a48),f27(a48))),f37(f29(a45,f30(f27(a48),f27(a48))),f37(f29(f32(a33,a46),f30(f32(a28,a45),f25(a47))),f19(f4(a21,a44)),a41),a41),a41),a41),f18(f4(a21,a44)),f43(a41,a1))), % 1.79/1.81 inference(scs_inference,[],[198,318,1023,1091,1120,1157,1169,809,890,153,986,908,1245,1140,1163,712,1032,880,215,878,1194,1213,1222,1227,1240,1254,864,1205,1061,314,380,391,460,389,370,553,552,526,502,544,427,454,375,459,418,453,500,534,401,429,376,424,539,438,425,382,381,426,428,334,397,540,390,11,2,483,490,541])). % 1.79/1.81 cnf(1280,plain, % 1.79/1.81 (P15(f15(f15(f20(f20(f20(f20(a1,x12801),x12801),x12802),x12802),f43(x12803,a1)),f43(x12803,a1)))), % 1.79/1.81 inference(scs_inference,[],[198,318,1023,1091,1120,1157,1169,809,890,153,986,908,1245,1096,1085,1140,1163,712,1032,880,215,878,1194,1213,1222,1227,1240,1254,864,1205,1061,314,380,391,460,389,370,553,552,526,502,544,427,454,375,459,418,453,500,534,401,429,376,424,539,438,425,382,381,426,428,334,397,540,390,11,2,483,490,541,99])). % 1.79/1.81 cnf(1281,plain, % 1.79/1.81 (E(x12811,f15(f15(x12811,f43(x12812,a1)),f43(x12812,a1)))), % 1.79/1.81 inference(rename_variables,[],[1085])). % 1.79/1.81 cnf(1285,plain, % 1.79/1.81 (P11(f15(f15(f20(f20(f20(f20(a1,x12851),x12851),x12852),x12852),f43(x12853,a1)),f43(x12853,a1)))), % 1.79/1.81 inference(scs_inference,[],[142,198,318,1023,1091,1120,1157,1169,809,890,153,986,908,1245,1096,1114,1085,1281,1140,1163,712,1032,880,215,878,1194,1213,1222,1227,1240,1254,864,1205,1208,1061,314,380,391,460,389,370,553,552,526,502,544,427,454,375,459,418,453,500,534,401,429,376,424,539,438,425,382,381,426,428,334,397,540,390,11,2,483,490,541,99,604,97])). % 1.79/1.81 cnf(1286,plain, % 1.79/1.81 (E(x12861,f15(f15(x12861,f43(x12862,a1)),f43(x12862,a1)))), % 1.79/1.81 inference(rename_variables,[],[1085])). % 1.79/1.81 cnf(1287,plain, % 1.79/1.81 (P2(f15(f15(f20(f20(f20(f20(a1,x12871),x12871),x12872),x12872),f43(x12873,a1)),f43(x12873,a1)))), % 1.79/1.81 inference(scs_inference,[],[142,198,318,1023,1091,1120,1157,1169,809,890,153,986,908,1245,1096,1098,1114,1085,1281,1286,1140,1163,712,1032,880,215,878,1194,1213,1222,1227,1240,1254,864,1205,1208,1061,314,380,391,460,389,370,553,552,526,502,544,427,454,375,459,418,453,500,534,401,429,376,424,539,438,425,382,381,426,428,334,397,540,390,11,2,483,490,541,99,604,97,94])). % 1.79/1.81 cnf(1288,plain, % 1.79/1.81 (E(x12881,f15(f15(x12881,f43(x12882,a1)),f43(x12882,a1)))), % 1.79/1.81 inference(rename_variables,[],[1085])). % 1.79/1.81 cnf(1291,plain, % 1.79/1.81 (~P6(f30(f27(x12911),x12912),f4(x12913,f3(a2)),a41)), % 1.79/1.81 inference(rename_variables,[],[1079])). % 1.79/1.81 cnf(1294,plain, % 1.79/1.81 (P6(x12941,f37(x12942,f37(x12941,x12943,x12944),x12944),x12944)), % 1.79/1.81 inference(rename_variables,[],[1023])). % 1.79/1.81 cnf(1297,plain, % 1.79/1.81 (P1(f15(f15(f20(f20(f20(f20(a1,x12971),x12971),x12972),x12972),f43(x12973,a1)),f43(x12973,a1)))), % 1.79/1.81 inference(scs_inference,[],[142,198,318,1023,1273,1091,1120,1157,1079,1169,809,890,150,153,986,908,1245,1096,1098,1114,1133,1085,1281,1286,1288,1140,1163,712,1100,1032,880,215,878,1194,1213,1222,1227,1240,1254,864,1205,1208,1061,314,380,391,460,389,370,553,552,526,502,544,427,454,375,459,418,453,500,534,401,429,376,424,539,438,425,382,381,426,428,334,397,540,390,11,2,483,490,541,99,604,97,94,486,499,85])). % 1.79/1.81 cnf(1298,plain, % 1.79/1.81 (E(x12981,f15(f15(x12981,f43(x12982,a1)),f43(x12982,a1)))), % 1.79/1.81 inference(rename_variables,[],[1085])). % 1.79/1.81 cnf(1299,plain, % 1.79/1.81 (~P6(f30(f27(x12991),x12992),f17(f4(x12993,f3(a2))),a41)), % 1.79/1.81 inference(scs_inference,[],[142,198,318,1023,1273,1091,1120,1157,1079,1291,1169,809,890,150,153,986,908,1245,1096,1098,1114,1133,1085,1281,1286,1288,1140,1163,712,912,1100,1032,880,215,878,1194,1213,1222,1227,1240,1254,864,1205,1208,1061,314,380,391,460,389,370,553,552,526,502,544,427,454,375,459,418,453,500,534,401,429,376,424,539,438,425,382,381,426,428,334,397,540,390,11,2,483,490,541,99,604,97,94,486,499,85,487])). % 1.79/1.81 cnf(1305,plain, % 1.79/1.81 (~P6(f29(x13051,f27(x13052)),f17(f17(f38(a28,x13053,a42,a41))),a41)), % 1.79/1.81 inference(scs_inference,[],[142,198,318,1023,1273,1091,1120,1157,1079,1291,1169,809,890,139,150,153,986,908,1245,1096,1098,1114,1133,1085,1281,1286,1288,1140,1163,712,912,1100,1050,1032,880,821,215,878,1194,1213,1222,1227,1240,1254,864,1205,1208,1061,314,380,391,460,389,370,553,552,526,502,544,427,454,375,459,418,453,500,534,401,429,376,424,539,438,425,382,381,426,428,334,397,540,390,11,2,483,490,541,99,604,97,94,486,499,85,487,508,485])). % 1.79/1.81 cnf(1308,plain, % 1.79/1.81 (P17(f32(f18(f4(a21,a44)),f29(a45,f30(f27(a48),f27(a48)))))), % 1.79/1.81 inference(scs_inference,[],[142,198,318,1023,1273,1091,1120,1157,1079,1291,1169,809,890,139,150,153,986,908,1245,1096,1098,1114,1133,1085,1281,1286,1288,1140,1163,712,912,1100,1050,1032,880,821,215,878,1194,1213,1222,1227,1240,1254,864,1205,1208,1061,314,209,380,391,460,389,370,553,552,526,502,544,427,454,375,459,418,453,500,534,401,429,376,424,539,438,425,382,381,426,428,334,397,540,390,11,2,483,490,541,99,604,97,94,486,499,85,487,508,485,432])). % 1.79/1.81 cnf(1311,plain, % 1.79/1.81 (P4(f15(f15(f20(f20(f20(f3(a2),a2),x13111),x13111),f43(x13112,a1)),f43(x13112,a1)))), % 1.79/1.81 inference(scs_inference,[],[142,198,318,1023,1273,1091,1120,1157,1079,1291,1169,809,890,139,150,153,986,908,1245,1106,1096,1098,1114,1133,1085,1281,1286,1288,1298,1140,1163,712,912,1100,1050,1032,880,821,215,878,1194,1213,1222,1227,1240,1254,864,1205,1208,1061,314,209,380,391,460,389,370,553,552,526,502,544,427,454,375,459,418,453,500,534,401,429,376,424,539,438,425,382,381,426,428,334,397,540,390,11,2,483,490,541,99,604,97,94,486,499,85,487,508,485,432,106])). % 1.79/1.81 cnf(1312,plain, % 1.79/1.81 (E(x13121,f15(f15(x13121,f43(x13122,a1)),f43(x13122,a1)))), % 1.79/1.81 inference(rename_variables,[],[1085])). % 1.79/1.81 cnf(1313,plain, % 1.79/1.81 (P9(f15(f15(f20(f20(f20(f20(a1,x13131),x13131),x13132),x13132),f43(x13133,a1)),f43(x13133,a1)))), % 1.79/1.81 inference(scs_inference,[],[142,198,318,1023,1273,1091,1120,1157,1079,1291,1169,809,890,139,150,153,986,908,1245,1106,1094,1096,1098,1114,1133,1085,1281,1286,1288,1298,1312,1140,1163,712,912,1100,1050,1032,880,821,215,878,1194,1213,1222,1227,1240,1254,864,1205,1208,1061,314,209,380,391,460,389,370,553,552,526,502,544,427,454,375,459,418,453,500,534,401,429,376,424,539,438,425,382,381,426,428,334,397,540,390,11,2,483,490,541,99,604,97,94,486,499,85,487,508,485,432,106,86])). % 1.79/1.81 cnf(1314,plain, % 1.79/1.81 (E(x13141,f15(f15(x13141,f43(x13142,a1)),f43(x13142,a1)))), % 1.79/1.81 inference(rename_variables,[],[1085])). % 1.79/1.81 cnf(1318,plain, % 1.79/1.81 (P10(f15(f15(f20(f20(f20(f20(a1,x13181),x13181),x13182),x13182),f43(x13183,a1)),f43(x13183,a1)))), % 1.79/1.81 inference(scs_inference,[],[142,198,318,1023,1273,1091,1120,1157,1079,1291,1169,809,890,139,150,153,986,908,1245,1106,1094,1096,1098,1114,1133,1135,1085,1281,1286,1288,1298,1312,1314,1140,1163,712,912,1100,1050,1032,880,834,821,215,159,878,1194,1213,1222,1227,1240,1254,864,1205,1208,1061,314,209,380,391,460,389,370,553,552,526,502,544,427,454,375,459,418,453,500,534,401,429,376,424,539,438,425,382,381,426,428,334,397,540,390,11,2,483,490,541,99,604,97,94,486,499,85,487,508,485,432,106,86,472,90])). % 1.79/1.81 cnf(1319,plain, % 1.79/1.81 (E(x13191,f15(f15(x13191,f43(x13192,a1)),f43(x13192,a1)))), % 1.79/1.81 inference(rename_variables,[],[1085])). % 1.79/1.81 cnf(1320,plain, % 1.79/1.81 (P3(f15(f15(f20(f20(f20(f20(a1,x13201),x13201),x13202),x13202),f43(x13203,a1)),f43(x13203,a1)))), % 1.79/1.81 inference(scs_inference,[],[142,198,318,1023,1273,1091,1120,1157,1079,1291,1169,809,890,139,150,153,986,908,1245,1106,1094,1096,1098,1114,1129,1133,1135,1085,1281,1286,1288,1298,1312,1314,1319,1140,1163,712,912,1100,1050,1032,880,834,821,215,159,878,1194,1213,1222,1227,1240,1254,864,1205,1208,1061,314,209,380,391,460,389,370,553,552,526,502,544,427,454,375,459,418,453,500,534,401,429,376,424,539,438,425,382,381,426,428,334,397,540,390,11,2,483,490,541,99,604,97,94,486,499,85,487,508,485,432,106,86,472,90,95])). % 1.79/1.81 cnf(1321,plain, % 1.79/1.81 (E(x13211,f15(f15(x13211,f43(x13212,a1)),f43(x13212,a1)))), % 1.79/1.81 inference(rename_variables,[],[1085])). % 1.79/1.81 cnf(1323,plain, % 1.79/1.81 (E(x13231,f15(f15(x13231,f43(x13232,a1)),f43(x13232,a1)))), % 1.79/1.81 inference(rename_variables,[],[1085])). % 1.79/1.81 cnf(1325,plain, % 1.79/1.81 (E(x13251,f15(f15(x13251,f43(x13252,a1)),f43(x13252,a1)))), % 1.79/1.81 inference(rename_variables,[],[1085])). % 1.79/1.81 cnf(1331,plain, % 1.79/1.81 (P16(f15(f15(f20(f20(f20(f20(a1,x13311),x13311),x13312),x13312),f43(x13313,a1)),f43(x13313,a1)))), % 1.79/1.81 inference(scs_inference,[],[142,198,318,1023,1273,1294,1091,1120,1157,1079,1291,1169,809,890,139,150,153,986,908,1245,1106,1094,1096,1098,1114,1129,1133,1135,1143,1108,1085,1281,1286,1288,1298,1312,1314,1319,1321,1323,1325,1140,1163,712,912,1100,1050,1032,880,834,821,215,159,303,878,1194,1213,1222,1227,1240,1254,864,1205,1208,1061,314,209,380,391,460,389,370,553,552,526,502,544,427,454,375,459,418,453,500,534,401,429,376,424,539,438,425,382,381,426,428,334,397,540,390,11,2,483,490,541,99,604,97,94,486,499,85,487,508,485,432,106,86,472,90,95,88,96,482,3,98])). % 1.79/1.81 cnf(1332,plain, % 1.79/1.81 (E(x13321,f15(f15(x13321,f43(x13322,a1)),f43(x13322,a1)))), % 1.79/1.81 inference(rename_variables,[],[1085])). % 1.79/1.81 cnf(1334,plain, % 1.79/1.81 (E(x13341,f15(f15(x13341,f43(x13342,a1)),f43(x13342,a1)))), % 1.79/1.81 inference(rename_variables,[],[1085])). % 1.79/1.81 cnf(1335,plain, % 1.79/1.81 (P12(f15(f15(f20(f20(a42,x13351),x13351),f43(x13352,a1)),f43(x13352,a1)))), % 1.79/1.81 inference(scs_inference,[],[142,198,318,1023,1273,1294,1091,1120,1157,1079,1291,1169,809,890,139,150,153,986,908,1245,1106,1094,1096,1098,1114,1129,1133,1135,1143,1108,1085,1281,1286,1288,1298,1312,1314,1319,1321,1323,1325,1332,1334,1140,1131,1163,712,912,1100,1050,1032,880,834,821,215,159,303,878,1194,1213,1222,1227,1240,1254,864,1205,1208,1061,314,209,380,391,460,389,370,553,552,526,502,544,427,454,375,459,418,453,500,534,401,429,376,424,539,438,425,382,381,426,428,334,397,540,390,11,2,483,490,541,99,604,97,94,486,499,85,487,508,485,432,106,86,472,90,95,88,96,482,3,98,89,101])). % 1.79/1.81 cnf(1336,plain, % 1.79/1.81 (E(x13361,f15(f15(x13361,f43(x13362,a1)),f43(x13362,a1)))), % 1.79/1.81 inference(rename_variables,[],[1085])). % 1.79/1.81 cnf(1338,plain, % 1.79/1.81 (E(x13381,f15(f15(x13381,f43(x13382,a1)),f43(x13382,a1)))), % 1.79/1.81 inference(rename_variables,[],[1085])). % 1.79/1.81 cnf(1342,plain, % 1.79/1.81 (E(x13421,f15(f15(x13421,f43(x13422,a1)),f43(x13422,a1)))), % 1.79/1.81 inference(rename_variables,[],[1085])). % 1.79/1.81 cnf(1343,plain, % 1.79/1.81 (P8(f37(f29(a45,f30(f27(a48),f27(a48))),f37(f29(a45,f30(f27(a48),f27(a48))),f37(f29(f32(a33,a46),f30(f32(a28,a45),f25(a47))),f19(f4(a21,a44)),a41),a41),a41),f15(f15(f18(f4(a21,a44)),f43(x13431,a1)),f43(x13431,a1)),f43(a41,a1))), % 1.79/1.81 inference(scs_inference,[],[142,198,318,1023,1273,1294,1091,1120,1157,1079,1291,1169,809,890,139,150,153,986,908,1245,1106,1094,1096,1098,1114,1129,1133,1135,1143,1108,1085,1281,1286,1288,1298,1312,1314,1319,1321,1323,1325,1332,1334,1336,1338,1342,1140,1131,1163,712,912,1100,1050,1032,880,834,821,215,159,303,878,1194,1213,1222,1227,1240,1254,864,1205,1208,1061,1021,314,141,209,380,391,460,389,370,553,552,526,502,544,427,454,375,459,418,453,500,534,401,429,376,424,539,438,425,382,381,426,428,334,397,540,390,11,2,483,490,541,99,604,97,94,486,499,85,487,508,485,432,106,86,472,90,95,88,96,482,3,98,89,101,93,108,87,92])). % 1.79/1.81 cnf(1344,plain, % 1.79/1.81 (E(x13441,f15(f15(x13441,f43(x13442,a1)),f43(x13442,a1)))), % 1.79/1.81 inference(rename_variables,[],[1085])). % 1.79/1.81 cnf(1347,plain, % 1.79/1.81 (~P6(a44,f15(a34,f43(f40(a2),a1)),f40(a2))), % 1.79/1.81 inference(scs_inference,[],[142,198,318,1023,1273,1294,1091,1120,1157,1079,1291,1169,809,890,139,150,153,986,908,1245,1106,1094,1096,1098,1114,1129,1133,1135,1143,1108,1085,1281,1286,1288,1298,1312,1314,1319,1321,1323,1325,1332,1334,1336,1338,1342,1344,1140,1131,1163,712,912,1100,1050,1032,880,834,821,215,159,303,878,1194,1213,1222,1227,1240,1254,864,1205,1208,1061,1021,314,141,209,380,391,460,389,370,553,552,526,502,544,427,454,375,459,418,453,500,534,401,429,376,424,539,438,425,382,381,426,428,334,397,540,390,11,2,483,490,541,99,604,97,94,486,499,85,487,508,485,432,106,86,472,90,95,88,96,482,3,98,89,101,93,108,87,92,91,492])). % 1.79/1.81 cnf(1349,plain, % 1.79/1.81 (~P6(f29(x13491,f30(f27(x13492),f30(x13493,f27(x13494)))),f18(f19(f4(x13495,f3(a2)))),a41)), % 1.79/1.81 inference(scs_inference,[],[142,198,318,1023,1273,1294,1091,1120,1157,1079,1291,1169,809,890,139,150,153,986,908,1245,1106,1094,1096,1098,1114,1129,1133,1135,1143,1108,1085,1281,1286,1288,1298,1312,1314,1319,1321,1323,1325,1332,1334,1336,1338,1342,1344,1140,1131,1163,712,912,1100,1050,1032,880,834,821,215,159,303,878,1194,1213,1222,1227,1240,1254,864,1205,1208,1061,1021,314,141,209,380,391,460,389,370,553,552,526,502,544,427,454,375,459,418,453,500,534,401,429,376,424,539,438,425,382,381,426,428,334,397,540,390,11,2,483,490,541,99,604,97,94,486,499,85,487,508,485,432,106,86,472,90,95,88,96,482,3,98,89,101,93,108,87,92,91,492,423])). % 1.79/1.81 cnf(1363,plain, % 1.79/1.81 (~E(f9(x13631,f20(f16(x13632,f3(x13633),x13634),x13633),x13633),x13631)), % 1.79/1.81 inference(rename_variables,[],[886])). % 1.79/1.81 cnf(1368,plain, % 1.79/1.81 (P8(x13681,f37(x13682,f37(x13683,x13681,x13684),x13684),f43(x13684,a1))), % 1.79/1.81 inference(rename_variables,[],[1041])). % 1.79/1.81 cnf(1370,plain, % 1.79/1.81 (~P6(f29(x13701,f29(x13702,f30(f27(x13703),f30(x13704,f27(x13705))))),f18(f19(f4(x13706,f3(a2)))),a41)), % 1.79/1.81 inference(scs_inference,[],[1349,978,886,1041,380,370,552,423])). % 1.79/1.81 cnf(1375,plain, % 1.79/1.81 (P8(x13751,f37(x13752,f37(x13753,x13751,x13754),x13754),f43(x13754,a1))), % 1.79/1.81 inference(rename_variables,[],[1041])). % 1.79/1.81 cnf(1382,plain, % 1.79/1.81 (~E(f9(x13821,f20(f16(x13822,f3(x13823),x13824),x13823),x13823),x13821)), % 1.79/1.81 inference(rename_variables,[],[886])). % 1.79/1.81 cnf(1385,plain, % 1.79/1.81 (~E(f9(x13851,f20(f16(x13852,f3(x13853),x13854),x13853),x13853),x13851)), % 1.79/1.81 inference(rename_variables,[],[886])). % 1.79/1.81 cnf(1388,plain, % 1.79/1.81 (~E(f9(x13881,f20(f16(x13882,f3(x13883),x13884),x13883),x13883),x13881)), % 1.79/1.81 inference(rename_variables,[],[886])). % 1.79/1.81 cnf(1390,plain, % 1.79/1.81 (~P6(f30(x13901,f27(x13902)),f17(f19(f4(x13903,f3(a2)))),a41)), % 1.79/1.81 inference(scs_inference,[],[1217,1349,978,1343,1235,886,1363,1382,1385,1041,1368,380,370,552,423,526,553,427,391,502,418,375,459])). % 1.79/1.81 cnf(1394,plain, % 1.79/1.81 (~P6(f30(f27(x13941),x13942),f17(f19(f4(x13943,f3(a2)))),a41)), % 1.79/1.81 inference(scs_inference,[],[1275,1217,1349,978,1343,1235,886,1363,1382,1385,1041,1368,380,370,552,423,526,553,427,391,502,418,375,459,454,460])). % 1.79/1.81 cnf(1400,plain, % 1.79/1.81 (~P8(f18(f18(f18(f18(f18(f4(a21,a44)))))),f18(f4(x14001,f3(a2))),f43(a41,a1))), % 1.79/1.81 inference(scs_inference,[],[1275,1278,1217,1349,978,1343,1235,886,1363,1382,1385,1041,1368,1229,380,370,552,423,526,553,427,391,502,418,375,459,454,460,544,401,453])). % 1.79/1.81 cnf(1405,plain, % 1.79/1.81 (~E(f9(x14051,f20(f16(x14052,f3(x14053),x14054),x14053),x14053),x14051)), % 1.79/1.81 inference(rename_variables,[],[886])). % 1.79/1.81 cnf(1410,plain, % 1.79/1.81 (~E(f9(x14101,f20(f16(x14102,f3(x14103),x14104),x14103),x14103),x14101)), % 1.79/1.81 inference(rename_variables,[],[886])). % 1.79/1.81 cnf(1430,plain, % 1.79/1.81 (~E(f9(x14301,f20(f16(x14302,f3(x14303),x14304),x14303),x14303),x14301)), % 1.79/1.81 inference(rename_variables,[],[886])). % 1.79/1.81 cnf(1452,plain, % 1.79/1.81 (P8(x14521,f37(x14522,f37(x14523,x14521,x14524),x14524),f43(x14524,a1))), % 1.79/1.81 inference(rename_variables,[],[1041])). % 1.79/1.81 cnf(1467,plain, % 1.79/1.81 (E(x14671,f20(f20(x14671,x14672),x14672))), % 1.79/1.81 inference(rename_variables,[],[926])). % 1.79/1.81 cnf(1468,plain, % 1.79/1.81 (~P6(f30(f27(x14681),f27(x14681)),f17(f17(f19(f4(x14682,f3(a2))))),a41)), % 1.79/1.81 inference(scs_inference,[],[142,198,873,1014,1275,1103,1278,1217,1196,1349,1267,1200,139,153,150,260,978,920,926,1285,1308,1343,1235,1299,882,956,156,159,886,1363,1382,1385,1388,1405,1410,1430,1041,1368,1375,1229,307,380,370,552,423,526,553,427,391,502,418,375,459,454,460,544,401,453,438,381,534,376,539,500,426,425,424,429,382,428,334,390,397,540,11,2,483,509,470,604,508,541,486,499,97,487])). % 1.79/1.81 cnf(1475,plain, % 1.79/1.81 (E(x14751,f20(f20(x14751,x14752),x14752))), % 1.79/1.81 inference(rename_variables,[],[926])). % 1.79/1.81 cnf(1477,plain, % 1.79/1.81 (E(x14771,f20(f20(x14771,x14772),x14772))), % 1.79/1.81 inference(rename_variables,[],[926])). % 1.79/1.81 cnf(1479,plain, % 1.79/1.81 (E(x14791,f20(f20(x14791,x14792),x14792))), % 1.79/1.81 inference(rename_variables,[],[926])). % 1.79/1.81 cnf(1484,plain, % 1.79/1.81 (E(x14841,f20(f20(x14841,x14842),x14842))), % 1.79/1.81 inference(rename_variables,[],[926])). % 1.79/1.81 cnf(1485,plain, % 1.79/1.81 (~P6(f30(f27(x14851),f30(x14852,f27(x14853))),f19(f18(f19(f19(f4(x14854,f3(a2)))))),a41)), % 1.79/1.81 inference(scs_inference,[],[142,198,873,1014,1275,1103,1278,1217,1196,1349,1267,1200,139,153,150,260,978,920,926,1467,1475,1477,1479,1311,1280,1285,1287,1320,1308,1343,1235,1299,1305,882,952,956,156,159,886,1363,1382,1385,1388,1405,1410,1430,1041,1368,1375,1452,1229,307,170,380,370,552,423,526,553,427,391,502,418,375,459,454,460,544,401,453,438,381,534,376,539,500,426,425,424,429,382,428,334,390,397,540,11,2,483,509,470,604,508,541,486,499,97,487,472,95,99,94,485,106,482])). % 1.79/1.81 cnf(1489,plain, % 1.79/1.81 (E(x14891,f20(f20(x14891,x14892),x14892))), % 1.79/1.81 inference(rename_variables,[],[926])). % 1.79/1.81 cnf(1491,plain, % 1.79/1.81 (E(x14911,f20(f20(x14911,x14912),x14912))), % 1.79/1.81 inference(rename_variables,[],[926])). % 1.79/1.81 cnf(1492,plain, % 1.79/1.81 (P12(f20(f20(f15(f15(f20(f20(a42,x14921),x14921),f43(x14922,a1)),f43(x14922,a1)),x14923),x14923))), % 1.79/1.81 inference(scs_inference,[],[142,198,873,1014,1275,1103,1278,1217,1196,1349,1267,1200,139,153,150,260,978,920,926,1467,1475,1477,1479,1484,1489,1491,1311,1280,1285,1287,1297,1313,1320,1335,1308,1343,1235,1299,1305,882,952,956,156,159,886,1363,1382,1385,1388,1405,1410,1430,1041,1368,1375,1452,1229,307,170,380,370,552,423,526,553,427,391,502,418,375,459,454,460,544,401,453,438,381,534,376,539,500,426,425,424,429,382,428,334,390,397,540,11,2,483,509,470,604,508,541,486,499,97,487,472,95,99,94,485,106,482,85,86,101])). % 1.79/1.81 cnf(1493,plain, % 1.79/1.81 (E(x14931,f20(f20(x14931,x14932),x14932))), % 1.79/1.81 inference(rename_variables,[],[926])). % 1.79/1.81 cnf(1495,plain, % 1.79/1.81 (E(x14951,f20(f20(x14951,x14952),x14952))), % 1.79/1.81 inference(rename_variables,[],[926])). % 1.79/1.81 cnf(1496,plain, % 1.79/1.81 (~E(a34,f15(a34,f43(f40(a2),a1)))), % 1.79/1.81 inference(scs_inference,[],[142,198,873,1014,1275,1103,1278,1217,1196,1349,1267,1200,1347,139,153,150,260,978,920,926,1467,1475,1477,1479,1484,1489,1491,1493,1140,1311,1280,1285,1287,1297,1313,1320,1335,1308,1343,1235,1299,1305,882,952,956,156,159,886,1363,1382,1385,1388,1405,1410,1430,1041,1368,1375,1452,1229,307,170,380,370,552,423,526,553,427,391,502,418,375,459,454,460,544,401,453,438,381,534,376,539,500,426,425,424,429,382,428,334,390,397,540,11,2,483,509,470,604,508,541,486,499,97,487,472,95,99,94,485,106,482,85,86,101,96,88])). % 1.79/1.81 cnf(1498,plain, % 1.79/1.81 (E(x14981,f20(f20(x14981,x14982),x14982))), % 1.79/1.81 inference(rename_variables,[],[926])). % 1.79/1.81 cnf(1502,plain, % 1.79/1.81 (E(x15021,f20(f20(x15021,x15022),x15022))), % 1.79/1.81 inference(rename_variables,[],[926])). % 1.79/1.81 cnf(1504,plain, % 1.79/1.81 (E(x15041,f20(f20(x15041,x15042),x15042))), % 1.79/1.81 inference(rename_variables,[],[926])). % 1.79/1.81 cnf(1506,plain, % 1.79/1.81 (E(x15061,f20(f20(x15061,x15062),x15062))), % 1.79/1.81 inference(rename_variables,[],[926])). % 1.79/1.81 cnf(1507,plain, % 1.79/1.81 (~E(a46,a21)), % 1.79/1.81 inference(scs_inference,[],[142,198,791,873,1014,1275,1103,1278,1217,1196,1349,1267,1200,1347,810,139,153,150,260,978,920,926,1467,1475,1477,1479,1484,1489,1491,1493,1495,1498,1502,1504,1140,1311,1280,1285,1287,1297,1313,1318,1320,1331,1335,1308,1343,1235,1299,1305,882,952,956,156,159,886,1363,1382,1385,1388,1405,1410,1430,1041,1368,1375,1452,1229,1202,307,170,141,380,370,552,423,526,553,427,391,502,418,375,459,454,460,544,401,453,438,381,534,376,539,500,426,425,424,429,382,428,334,390,397,540,11,2,483,509,470,604,508,541,486,499,97,487,472,95,99,94,485,106,482,85,86,101,96,88,89,3,93,98,90,108])). % 1.79/1.81 cnf(1510,plain, % 1.79/1.81 (E(x15101,f20(f20(x15101,x15102),x15102))), % 1.79/1.81 inference(rename_variables,[],[926])). % 1.79/1.81 cnf(1511,plain, % 1.79/1.81 (P8(f37(f29(a45,f30(f27(a48),f27(a48))),f37(f29(a45,f30(f27(a48),f27(a48))),f37(f29(a45,f30(f27(a48),f27(a48))),f37(f29(f32(a33,a46),f30(f32(a28,a45),f25(a47))),f19(f4(a21,a44)),a41),a41),a41),a41),f20(f20(f18(f4(a21,a44)),x15111),x15111),f43(a41,a1))), % 1.79/1.81 inference(scs_inference,[],[142,198,791,873,1014,1275,1103,1278,1217,1196,1349,1267,1200,1347,810,139,153,150,260,978,920,926,1467,1475,1477,1479,1484,1489,1491,1493,1495,1498,1502,1504,1506,1510,1140,1311,1280,1285,1287,1297,1313,1318,1320,1331,1335,1308,1343,1235,1299,1305,882,952,956,156,159,886,1363,1382,1385,1388,1405,1410,1430,1041,1368,1375,1452,1229,1202,307,170,141,380,370,552,423,526,553,427,391,502,418,375,459,454,460,544,401,453,438,381,534,376,539,500,426,425,424,429,382,428,334,390,397,540,11,2,483,509,470,604,508,541,486,499,97,487,472,95,99,94,485,106,482,85,86,101,96,88,89,3,93,98,90,108,87,92])). % 1.79/1.81 cnf(1512,plain, % 1.79/1.81 (E(x15121,f20(f20(x15121,x15122),x15122))), % 1.79/1.81 inference(rename_variables,[],[926])). % 1.79/1.81 cnf(1515,plain, % 1.79/1.81 (P6(f8(a47,a46,f29(a45,f30(f27(a48),f27(a48)))),f22(a44,a2),a2)), % 1.79/1.81 inference(scs_inference,[],[142,198,301,300,791,873,1056,1014,1275,1103,1278,1217,1196,1349,1267,1200,1347,810,800,139,153,150,260,978,920,926,1467,1475,1477,1479,1484,1489,1491,1493,1495,1498,1502,1504,1506,1510,1512,1140,1311,1280,1285,1287,1297,1313,1318,1320,1331,1335,1308,1343,1235,1299,1305,882,952,956,156,159,886,1363,1382,1385,1388,1405,1410,1430,1041,1368,1375,1452,1229,1202,307,170,141,380,370,552,423,526,553,427,391,502,418,375,459,454,460,544,401,453,438,381,534,376,539,500,426,425,424,429,382,428,334,390,397,540,11,2,483,509,470,604,508,541,486,499,97,487,472,95,99,94,485,106,482,85,86,101,96,88,89,3,93,98,90,108,87,92,91,625])). % 1.79/1.81 cnf(1539,plain, % 1.79/1.81 (~E(f9(x15391,f16(x15392,f3(x15393),x15394),x15393),x15391)), % 1.79/1.81 inference(rename_variables,[],[749])). % 1.79/1.81 cnf(1542,plain, % 1.79/1.81 (P8(x15421,f37(x15422,f10(x15421,x15423,f43(x15424,a1)),x15424),f43(x15424,a1))), % 1.79/1.81 inference(rename_variables,[],[1029])). % 1.79/1.81 cnf(1549,plain, % 1.79/1.81 (P8(x15491,f37(x15492,f10(x15491,x15493,f43(x15494,a1)),x15494),f43(x15494,a1))), % 1.79/1.81 inference(rename_variables,[],[1029])). % 1.79/1.81 cnf(1552,plain, % 1.79/1.81 (~E(f9(x15521,f16(x15522,f3(x15523),x15524),x15523),x15521)), % 1.79/1.81 inference(rename_variables,[],[749])). % 1.79/1.81 cnf(1568,plain, % 1.79/1.81 (P8(x15681,f37(x15682,f10(x15681,x15683,f43(x15684,a1)),x15684),f43(x15684,a1))), % 1.79/1.81 inference(rename_variables,[],[1029])). % 1.79/1.81 cnf(1573,plain, % 1.79/1.81 (~E(f9(x15731,f16(x15732,f3(x15733),x15734),x15733),x15731)), % 1.79/1.81 inference(rename_variables,[],[749])). % 1.79/1.81 cnf(1576,plain, % 1.79/1.81 (~E(f9(x15761,f16(x15762,f3(x15763),x15764),x15763),x15761)), % 1.79/1.81 inference(rename_variables,[],[749])). % 1.79/1.81 cnf(1585,plain, % 1.79/1.81 (~E(f9(x15851,f16(x15852,f3(x15853),x15854),x15853),x15851)), % 1.79/1.81 inference(rename_variables,[],[749])). % 1.79/1.81 cnf(1605,plain, % 1.79/1.81 (~E(f9(x16051,f16(x16052,f3(x16053),x16054),x16053),x16051)), % 1.79/1.81 inference(rename_variables,[],[749])). % 1.79/1.81 cnf(1627,plain, % 1.79/1.81 (P8(x16271,f37(x16272,f10(x16271,x16273,f43(x16274,a1)),x16274),f43(x16274,a1))), % 1.79/1.81 inference(rename_variables,[],[1029])). % 1.79/1.81 cnf(1633,plain, % 1.79/1.81 (~P6(f30(f27(x16331),f27(x16331)),f17(f17(f19(f4(x16332,f3(a2))))),a41)), % 1.79/1.81 inference(rename_variables,[],[1468])). % 1.79/1.81 cnf(1654,plain, % 1.79/1.81 (E(x16541,f20(f20(x16541,x16542),x16542))), % 1.79/1.81 inference(rename_variables,[],[926])). % 1.79/1.81 cnf(1656,plain, % 1.79/1.81 (E(x16561,f20(f20(x16561,x16562),x16562))), % 1.79/1.81 inference(rename_variables,[],[926])). % 1.79/1.81 cnf(1659,plain, % 1.79/1.81 (E(x16591,f20(f20(x16591,x16592),x16592))), % 1.79/1.81 inference(rename_variables,[],[926])). % 1.79/1.81 cnf(1663,plain, % 1.79/1.81 (E(x16631,f20(f20(x16631,x16632),x16632))), % 1.79/1.81 inference(rename_variables,[],[926])). % 1.79/1.81 cnf(1665,plain, % 1.79/1.81 (E(x16651,f20(f20(x16651,x16652),x16652))), % 1.79/1.81 inference(rename_variables,[],[926])). % 1.79/1.81 cnf(1668,plain, % 1.79/1.81 ($false), % 1.79/1.81 inference(scs_inference,[],[142,322,300,301,318,791,873,855,1056,890,1347,1485,1370,1515,1496,1278,800,139,1120,1110,260,1140,1198,912,1116,926,1654,1656,1659,1663,1665,1085,1492,1167,1511,1468,1633,1390,1394,1063,1054,1507,834,188,749,1539,1552,1573,1576,1585,1605,1036,1029,1542,1549,1568,1627,1010,173,1400,308,170,324,380,526,427,391,553,375,502,370,423,544,454,460,552,459,418,381,426,429,401,376,382,425,500,539,453,534,424,428,334,390,397,2,11,549,503,508,541,470,604,499,486,485,472,487,482,96,101,93,88,89,3,87,92,91,613]), % 1.79/1.81 ['proof']). % 1.79/1.81 % SZS output end Proof % 1.79/1.81 % Total time :0.880000s %------------------------------------------------------------------------------