TSTP Solution File: SWV816-1 by CSE---1.6
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%------------------------------------------------------------------------------
% File : CSE---1.6
% Problem : SWV816-1 : TPTP v8.1.2. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %s %d
% Computer : n013.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Thu Aug 31 21:35:21 EDT 2023
% Result : Unsatisfiable 4.78s 4.86s
% Output : CNFRefutation 4.78s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : SWV816-1 : TPTP v8.1.2. Released v4.1.0.
% 0.13/0.13 % Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %s %d
% 0.13/0.35 % Computer : n013.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Tue Aug 29 07:29:16 EDT 2023
% 0.13/0.35 % CPUTime :
% 0.20/0.58 start to proof:theBenchmark
% 4.68/4.81 %-------------------------------------------
% 4.68/4.81 % File :CSE---1.6
% 4.68/4.81 % Problem :theBenchmark
% 4.68/4.81 % Transform :cnf
% 4.68/4.81 % Format :tptp:raw
% 4.68/4.81 % Command :java -jar mcs_scs.jar %d %s
% 4.68/4.81
% 4.68/4.81 % Result :Theorem 4.080000s
% 4.68/4.81 % Output :CNFRefutation 4.080000s
% 4.68/4.81 %-------------------------------------------
% 4.68/4.82 %------------------------------------------------------------------------------
% 4.68/4.82 % File : SWV816-1 : TPTP v8.1.2. Released v4.1.0.
% 4.68/4.82 % Domain : Software Verification
% 4.68/4.82 % Problem : Needham-Schroeder shared-key protocol 518_1
% 4.68/4.82 % Version : Especial.
% 4.68/4.82 % English :
% 4.68/4.82
% 4.68/4.82 % Refs : [BAN89] Burrows et al. (1989), A Logic of Authentication
% 4.68/4.82 % : [Nip10] Nipkow (2010), Email to Geoff Sutcliffe
% 4.68/4.82 % : [BN10] Boehme & Nipkow (2010), Sledgehammer: Judgement Day
% 4.68/4.82 % Source : [Nip10]
% 4.68/4.82 % Names : NS_Shared-518_1 [Nip10]
% 4.68/4.82
% 4.68/4.82 % Status : Unsatisfiable
% 4.68/4.82 % Rating : 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
% 4.68/4.82 % Syntax : Number of clauses : 555 ( 221 unt; 59 nHn; 316 RR)
% 4.68/4.82 % Number of literals : 1119 ( 283 equ; 544 neg)
% 4.68/4.82 % Maximal clause size : 7 ( 2 avg)
% 4.68/4.82 % Maximal term depth : 10 ( 2 avg)
% 4.68/4.82 % Number of predicates : 18 ( 17 usr; 0 prp; 1-4 aty)
% 4.68/4.82 % Number of functors : 57 ( 57 usr; 18 con; 0-4 aty)
% 4.68/4.82 % Number of variables : 1709 ( 452 sgn)
% 4.68/4.82 % SPC : CNF_UNS_RFO_SEQ_NHN
% 4.68/4.82
% 4.68/4.82 % Comments :
% 4.68/4.82 %------------------------------------------------------------------------------
% 4.68/4.82 cnf(cls_Compl__anti__mono_0,axiom,
% 4.68/4.82 ( 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))
% 4.68/4.82 | ~ c_lessequals(V_A,V_B,tc_fun(T_a,tc_bool)) ) ).
% 4.68/4.82
% 4.68/4.82 cnf(cls_Compl__subset__Compl__iff_0,axiom,
% 4.68/4.82 ( c_lessequals(V_B,V_A,tc_fun(T_a,tc_bool))
% 4.68/4.82 | ~ c_lessequals(c_HOL_Ouminus__class_Ouminus(V_A,tc_fun(T_a,tc_bool)),c_HOL_Ouminus__class_Ouminus(V_B,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)) ) ).
% 4.68/4.82
% 4.68/4.82 cnf(cls_Compl__subset__Compl__iff_1,axiom,
% 4.68/4.82 ( c_lessequals(c_HOL_Ouminus__class_Ouminus(V_A,tc_fun(T_a,tc_bool)),c_HOL_Ouminus__class_Ouminus(V_B,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool))
% 4.68/4.82 | ~ c_lessequals(V_B,V_A,tc_fun(T_a,tc_bool)) ) ).
% 4.68/4.82
% 4.68/4.82 cnf(cls_synth__mono_0,axiom,
% 4.68/4.82 ( c_lessequals(c_Message_Osynth(V_G),c_Message_Osynth(V_H),tc_fun(tc_Message_Omsg,tc_bool))
% 4.68/4.82 | ~ c_lessequals(V_G,V_H,tc_fun(tc_Message_Omsg,tc_bool)) ) ).
% 4.68/4.82
% 4.68/4.82 cnf(cls_append__Nil2_0,axiom,
% 4.68/4.82 c_List_Oappend(V_xs,c_List_Olist_ONil(T_a),T_a) = V_xs ).
% 4.68/4.82
% 4.68/4.82 cnf(cls_eq__Nil__appendI_0,axiom,
% 4.68/4.82 V_x = c_List_Oappend(c_List_Olist_ONil(T_a),V_x,T_a) ).
% 4.68/4.82
% 4.68/4.82 cnf(cls_self__append__conv_1,axiom,
% 4.68/4.82 V_xs = c_List_Oappend(V_xs,c_List_Olist_ONil(T_a),T_a) ).
% 4.68/4.82
% 4.68/4.82 cnf(cls_append__Nil_0,axiom,
% 4.68/4.82 c_List_Oappend(c_List_Olist_ONil(T_a),V_ys,T_a) = V_ys ).
% 4.68/4.82
% 4.68/4.82 cnf(cls_self__append__conv2_1,axiom,
% 4.68/4.82 V_ys = c_List_Oappend(c_List_Olist_ONil(T_a),V_ys,T_a) ).
% 4.68/4.82
% 4.68/4.82 cnf(cls_sup__top__right_0,axiom,
% 4.68/4.82 ( ~ class_Lattices_Obounded__lattice(T_a)
% 4.68/4.82 | c_Lattices_Oupper__semilattice__class_Osup(V_x,c_Orderings_Otop__class_Otop(T_a),T_a) = c_Orderings_Otop__class_Otop(T_a) ) ).
% 4.68/4.82
% 4.68/4.82 cnf(cls_sup__top__left_0,axiom,
% 4.68/4.82 ( ~ class_Lattices_Obounded__lattice(T_a)
% 4.68/4.82 | c_Lattices_Oupper__semilattice__class_Osup(c_Orderings_Otop__class_Otop(T_a),V_x,T_a) = c_Orderings_Otop__class_Otop(T_a) ) ).
% 4.68/4.82
% 4.68/4.82 cnf(cls_Un__UNIV__left_0,axiom,
% 4.68/4.82 c_Lattices_Oupper__semilattice__class_Osup(c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_bool)),V_B,tc_fun(T_a,tc_bool)) = c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_bool)) ).
% 4.68/4.82
% 4.68/4.82 cnf(cls_Un__UNIV__right_0,axiom,
% 4.68/4.82 c_Lattices_Oupper__semilattice__class_Osup(V_A,c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)) = c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_bool)) ).
% 4.68/4.82
% 4.68/4.82 cnf(cls_parts__Un__subset2_0,axiom,
% 4.68/4.82 c_lessequals(c_Message_Oparts(c_Lattices_Oupper__semilattice__class_Osup(V_G,V_H,tc_fun(tc_Message_Omsg,tc_bool))),c_Lattices_Oupper__semilattice__class_Osup(c_Message_Oparts(V_G),c_Message_Oparts(V_H),tc_fun(tc_Message_Omsg,tc_bool)),tc_fun(tc_Message_Omsg,tc_bool)) ).
% 4.68/4.82
% 4.68/4.82 cnf(cls_subset__insertI_0,axiom,
% 4.68/4.82 c_lessequals(V_B,c_Set_Oinsert(V_a,V_B,T_a),tc_fun(T_a,tc_bool)) ).
% 4.68/4.82
% 4.68/4.82 cnf(cls_sup1E_0,axiom,
% 4.68/4.82 ( hBOOL(hAPP(V_B,V_x))
% 4.68/4.82 | hBOOL(hAPP(V_A,V_x))
% 4.68/4.82 | ~ hBOOL(hAPP(c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_a,tc_bool)),V_x)) ) ).
% 4.68/4.82
% 4.68/4.82 cnf(cls_sup1CI_0,axiom,
% 4.68/4.82 ( hBOOL(hAPP(c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_a,tc_bool)),V_x))
% 4.68/4.82 | ~ hBOOL(hAPP(V_B,V_x)) ) ).
% 4.68/4.82
% 4.68/4.82 cnf(cls_sup1CI_1,axiom,
% 4.68/4.82 ( hBOOL(hAPP(c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_a,tc_bool)),V_x))
% 4.68/4.82 | ~ hBOOL(hAPP(V_A,V_x)) ) ).
% 4.68/4.82
% 4.68/4.82 cnf(cls_Nil__is__append__conv_0,axiom,
% 4.68/4.82 ( c_List_Olist_ONil(T_a) != c_List_Oappend(V_xs,V_ys,T_a)
% 4.68/4.82 | V_xs = c_List_Olist_ONil(T_a) ) ).
% 4.68/4.82
% 4.68/4.82 cnf(cls_Nil__is__append__conv_1,axiom,
% 4.68/4.82 ( c_List_Olist_ONil(T_a) != c_List_Oappend(V_xs,V_ys,T_a)
% 4.68/4.82 | V_ys = c_List_Olist_ONil(T_a) ) ).
% 4.68/4.82
% 4.68/4.82 cnf(cls_append__is__Nil__conv_0,axiom,
% 4.68/4.82 ( c_List_Oappend(V_xs,V_ys,T_a) != c_List_Olist_ONil(T_a)
% 4.68/4.82 | V_xs = c_List_Olist_ONil(T_a) ) ).
% 4.68/4.82
% 4.68/4.82 cnf(cls_append__is__Nil__conv_1,axiom,
% 4.68/4.82 ( c_List_Oappend(V_xs,V_ys,T_a) != c_List_Olist_ONil(T_a)
% 4.68/4.82 | V_ys = c_List_Olist_ONil(T_a) ) ).
% 4.68/4.82
% 4.68/4.83 cnf(cls_ns__sharedp_ONil_0,axiom,
% 4.68/4.83 c_NS__Shared__Mirabelle_Ons__sharedp(c_List_Olist_ONil(tc_Event_Oevent)) ).
% 4.68/4.83
% 4.68/4.83 cnf(cls_synth__Un_0,axiom,
% 4.68/4.83 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)) ).
% 4.68/4.83
% 4.68/4.83 cnf(cls_le__imp__neg__le_0,axiom,
% 4.68/4.83 ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a)
% 4.68/4.83 | c_lessequals(c_HOL_Ouminus__class_Ouminus(V_b,T_a),c_HOL_Ouminus__class_Ouminus(V_a,T_a),T_a)
% 4.68/4.83 | ~ c_lessequals(V_a,V_b,T_a) ) ).
% 4.68/4.83
% 4.68/4.83 cnf(cls_neg__le__iff__le_0,axiom,
% 4.68/4.83 ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a)
% 4.68/4.83 | c_lessequals(V_a,V_b,T_a)
% 4.68/4.83 | ~ c_lessequals(c_HOL_Ouminus__class_Ouminus(V_b,T_a),c_HOL_Ouminus__class_Ouminus(V_a,T_a),T_a) ) ).
% 4.68/4.83
% 4.68/4.83 cnf(cls_Un__insert__right_0,axiom,
% 4.68/4.83 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) ).
% 4.68/4.83
% 4.68/4.83 cnf(cls_Un__insert__left_0,axiom,
% 4.68/4.83 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) ).
% 4.68/4.83
% 4.68/4.83 cnf(cls_event_Osimps_I4_J_0,axiom,
% 4.68/4.83 c_Event_Oevent_OSays(V_agent1,V_agent2,V_msg) != c_Event_Oevent_OGets(V_agent_H,V_msg_H) ).
% 4.68/4.83
% 4.68/4.83 cnf(cls_same__append__eq_0,axiom,
% 4.68/4.83 ( c_List_Oappend(V_xs,V_ys,T_a) != c_List_Oappend(V_xs,V_zs,T_a)
% 4.68/4.83 | V_ys = V_zs ) ).
% 4.68/4.83
% 4.68/4.83 cnf(cls_append__same__eq_0,axiom,
% 4.68/4.83 ( c_List_Oappend(V_ys,V_xs,T_a) != c_List_Oappend(V_zs,V_xs,T_a)
% 4.68/4.83 | V_ys = V_zs ) ).
% 4.68/4.83
% 4.68/4.83 cnf(cls_subset__insertI2_0,axiom,
% 4.68/4.83 ( c_lessequals(V_A,c_Set_Oinsert(V_b,V_B,T_a),tc_fun(T_a,tc_bool))
% 4.68/4.83 | ~ c_lessequals(V_A,V_B,tc_fun(T_a,tc_bool)) ) ).
% 4.68/4.83
% 4.68/4.83 cnf(cls_insert__subset_1,axiom,
% 4.68/4.83 ( c_lessequals(V_A,V_B,tc_fun(T_a,tc_bool))
% 4.68/4.83 | ~ c_lessequals(c_Set_Oinsert(V_x,V_A,T_a),V_B,tc_fun(T_a,tc_bool)) ) ).
% 4.68/4.83
% 4.68/4.83 cnf(cls_Un__absorb_0,axiom,
% 4.68/4.83 c_Lattices_Oupper__semilattice__class_Osup(V_A,V_A,tc_fun(T_a,tc_bool)) = V_A ).
% 4.68/4.83
% 4.68/4.83 cnf(cls_sup__idem_0,axiom,
% 4.68/4.83 ( ~ class_Lattices_Oupper__semilattice(T_a)
% 4.68/4.83 | c_Lattices_Oupper__semilattice__class_Osup(V_x,V_x,T_a) = V_x ) ).
% 4.68/4.83
% 4.68/4.83 cnf(cls_analz__Un_0,axiom,
% 4.68/4.83 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)) ).
% 4.68/4.83
% 4.68/4.83 cnf(cls_parts__Un__subset1_0,axiom,
% 4.68/4.83 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)) ).
% 4.68/4.83
% 4.68/4.83 cnf(cls_synth__subset__iff_1,axiom,
% 4.68/4.83 ( c_lessequals(c_Message_Osynth(V_G),c_Message_Osynth(V_H),tc_fun(tc_Message_Omsg,tc_bool))
% 4.68/4.83 | ~ c_lessequals(V_G,c_Message_Osynth(V_H),tc_fun(tc_Message_Omsg,tc_bool)) ) ).
% 4.68/4.83
% 4.68/4.83 cnf(cls_synth__subset__iff_0,axiom,
% 4.68/4.83 ( c_lessequals(V_G,c_Message_Osynth(V_H),tc_fun(tc_Message_Omsg,tc_bool))
% 4.68/4.83 | ~ c_lessequals(c_Message_Osynth(V_G),c_Message_Osynth(V_H),tc_fun(tc_Message_Omsg,tc_bool)) ) ).
% 4.68/4.83
% 4.68/4.83 cnf(cls_Un__left__commute_0,axiom,
% 4.68/4.83 c_Lattices_Oupper__semilattice__class_Osup(V_A,c_Lattices_Oupper__semilattice__class_Osup(V_B,V_C,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)) = c_Lattices_Oupper__semilattice__class_Osup(V_B,c_Lattices_Oupper__semilattice__class_Osup(V_A,V_C,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)) ).
% 4.68/4.83
% 4.68/4.83 cnf(cls_Un__assoc_0,axiom,
% 4.68/4.83 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)) ).
% 4.68/4.83
% 4.68/4.83 cnf(cls_sup__assoc_0,axiom,
% 4.68/4.83 ( ~ class_Lattices_Oupper__semilattice(T_a)
% 4.68/4.83 | c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Oupper__semilattice__class_Osup(V_x,V_y,T_a),V_z,T_a) = c_Lattices_Oupper__semilattice__class_Osup(V_x,c_Lattices_Oupper__semilattice__class_Osup(V_y,V_z,T_a),T_a) ) ).
% 4.68/4.83
% 4.68/4.83 cnf(cls_sup__left__commute_0,axiom,
% 4.68/4.83 ( ~ class_Lattices_Oupper__semilattice(T_a)
% 4.68/4.83 | c_Lattices_Oupper__semilattice__class_Osup(V_x,c_Lattices_Oupper__semilattice__class_Osup(V_y,V_z,T_a),T_a) = c_Lattices_Oupper__semilattice__class_Osup(V_y,c_Lattices_Oupper__semilattice__class_Osup(V_x,V_z,T_a),T_a) ) ).
% 4.68/4.83
% 4.68/4.83 cnf(cls_analz__image__freshK__simps_I65_J_0,axiom,
% 4.68/4.83 c_Lattices_Oupper__semilattice__class_Osup(V_A,c_Lattices_Oupper__semilattice__class_Osup(V_B,V_C,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)) = c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_a,tc_bool)),V_C,tc_fun(T_a,tc_bool)) ).
% 4.68/4.83
% 4.68/4.83 cnf(cls_inf__sup__aci_I7_J_0,axiom,
% 4.68/4.83 ( ~ class_Lattices_Olattice(T_a)
% 4.68/4.83 | c_Lattices_Oupper__semilattice__class_Osup(V_x,c_Lattices_Oupper__semilattice__class_Osup(V_y,V_z,T_a),T_a) = c_Lattices_Oupper__semilattice__class_Osup(V_y,c_Lattices_Oupper__semilattice__class_Osup(V_x,V_z,T_a),T_a) ) ).
% 4.68/4.83
% 4.68/4.83 cnf(cls_inf__sup__aci_I6_J_0,axiom,
% 4.68/4.83 ( ~ class_Lattices_Olattice(T_a)
% 4.68/4.83 | c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Oupper__semilattice__class_Osup(V_x,V_y,T_a),V_z,T_a) = c_Lattices_Oupper__semilattice__class_Osup(V_x,c_Lattices_Oupper__semilattice__class_Osup(V_y,V_z,T_a),T_a) ) ).
% 4.68/4.83
% 4.68/4.83 cnf(cls_Un__subset__iff_2,axiom,
% 4.68/4.83 ( c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_a,tc_bool)),V_C,tc_fun(T_a,tc_bool))
% 4.68/4.83 | ~ c_lessequals(V_B,V_C,tc_fun(T_a,tc_bool))
% 4.68/4.83 | ~ c_lessequals(V_A,V_C,tc_fun(T_a,tc_bool)) ) ).
% 4.68/4.83
% 4.68/4.83 cnf(cls_Un__upper2_0,axiom,
% 4.68/4.83 c_lessequals(V_B,c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)) ).
% 4.68/4.83
% 4.68/4.83 cnf(cls_Un__upper1_0,axiom,
% 4.68/4.83 c_lessequals(V_A,c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)) ).
% 4.68/4.83
% 4.68/4.83 cnf(cls_Un__least_0,axiom,
% 4.68/4.83 ( c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_a,tc_bool)),V_C,tc_fun(T_a,tc_bool))
% 4.68/4.83 | ~ c_lessequals(V_B,V_C,tc_fun(T_a,tc_bool))
% 4.68/4.83 | ~ c_lessequals(V_A,V_C,tc_fun(T_a,tc_bool)) ) ).
% 4.68/4.83
% 4.68/4.83 cnf(cls_le__supI_0,axiom,
% 4.68/4.83 ( ~ class_Lattices_Oupper__semilattice(T_a)
% 4.68/4.83 | c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(V_a,V_b,T_a),V_x,T_a)
% 4.68/4.83 | ~ c_lessequals(V_b,V_x,T_a)
% 4.68/4.83 | ~ c_lessequals(V_a,V_x,T_a) ) ).
% 4.68/4.83
% 4.68/4.83 cnf(cls_sup__ge1_0,axiom,
% 4.68/4.83 ( ~ class_Lattices_Oupper__semilattice(T_a)
% 4.68/4.83 | c_lessequals(V_x,c_Lattices_Oupper__semilattice__class_Osup(V_x,V_y,T_a),T_a) ) ).
% 4.68/4.83
% 4.68/4.83 cnf(cls_sup__ge2_0,axiom,
% 4.68/4.83 ( ~ class_Lattices_Oupper__semilattice(T_a)
% 4.68/4.83 | c_lessequals(V_y,c_Lattices_Oupper__semilattice__class_Osup(V_x,V_y,T_a),T_a) ) ).
% 4.68/4.83
% 4.68/4.83 cnf(cls_sup__least_0,axiom,
% 4.68/4.83 ( ~ class_Lattices_Oupper__semilattice(T_a)
% 4.68/4.83 | c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(V_y,V_z,T_a),V_x,T_a)
% 4.68/4.83 | ~ c_lessequals(V_z,V_x,T_a)
% 4.68/4.83 | ~ c_lessequals(V_y,V_x,T_a) ) ).
% 4.68/4.83
% 4.68/4.83 cnf(cls_le__sup__iff_2,axiom,
% 4.68/4.83 ( ~ class_Lattices_Oupper__semilattice(T_a)
% 4.68/4.83 | c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(V_x,V_y,T_a),V_z,T_a)
% 4.68/4.83 | ~ c_lessequals(V_y,V_z,T_a)
% 4.68/4.83 | ~ c_lessequals(V_x,V_z,T_a) ) ).
% 4.68/4.83
% 4.68/4.83 cnf(cls_inf__sup__ord_I4_J_0,axiom,
% 4.68/4.83 ( ~ class_Lattices_Olattice(T_a)
% 4.68/4.83 | c_lessequals(V_y,c_Lattices_Oupper__semilattice__class_Osup(V_x,V_y,T_a),T_a) ) ).
% 4.68/4.83
% 4.68/4.83 cnf(cls_inf__sup__ord_I3_J_0,axiom,
% 4.68/4.83 ( ~ class_Lattices_Olattice(T_a)
% 4.68/4.83 | c_lessequals(V_x,c_Lattices_Oupper__semilattice__class_Osup(V_x,V_y,T_a),T_a) ) ).
% 4.68/4.83
% 4.78/4.83 cnf(cls_append__eq__Cons__conv_5,axiom,
% 4.78/4.83 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) ).
% 4.78/4.83
% 4.78/4.83 cnf(cls_append__Cons_0,axiom,
% 4.78/4.83 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) ).
% 4.78/4.83
% 4.78/4.83 cnf(cls_knows__subset__knows__Gets_0,axiom,
% 4.78/4.83 c_lessequals(c_Event_Oknows(V_A,V_evs),c_Event_Oknows(V_A,c_List_Olist_OCons(c_Event_Oevent_OGets(V_A_H,V_X),V_evs,tc_Event_Oevent)),tc_fun(tc_Message_Omsg,tc_bool)) ).
% 4.78/4.83
% 4.78/4.83 cnf(cls_Compl__partition2_0,axiom,
% 4.78/4.83 c_Lattices_Oupper__semilattice__class_Osup(c_HOL_Ouminus__class_Ouminus(V_A,tc_fun(T_a,tc_bool)),V_A,tc_fun(T_a,tc_bool)) = c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_bool)) ).
% 4.78/4.83
% 4.78/4.83 cnf(cls_Compl__partition_0,axiom,
% 4.78/4.83 c_Lattices_Oupper__semilattice__class_Osup(V_A,c_HOL_Ouminus__class_Ouminus(V_A,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)) = c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_bool)) ).
% 4.78/4.83
% 4.78/4.83 cnf(cls_compl__sup__top_0,axiom,
% 4.78/4.83 ( ~ class_Lattices_Oboolean__algebra(T_a)
% 4.78/4.83 | c_Lattices_Oupper__semilattice__class_Osup(c_HOL_Ouminus__class_Ouminus(V_x,T_a),V_x,T_a) = c_Orderings_Otop__class_Otop(T_a) ) ).
% 4.78/4.83
% 4.78/4.83 cnf(cls_sup__compl__top_0,axiom,
% 4.78/4.83 ( ~ class_Lattices_Oboolean__algebra(T_a)
% 4.78/4.83 | c_Lattices_Oupper__semilattice__class_Osup(V_x,c_HOL_Ouminus__class_Ouminus(V_x,T_a),T_a) = c_Orderings_Otop__class_Otop(T_a) ) ).
% 4.78/4.83
% 4.78/4.83 cnf(cls_Cons__eq__append__conv_5,axiom,
% 4.78/4.83 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) ).
% 4.78/4.83
% 4.78/4.83 cnf(cls_Cons__eq__appendI_0,axiom,
% 4.78/4.83 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) ).
% 4.78/4.83
% 4.78/4.83 cnf(cls_Un__commute_0,axiom,
% 4.78/4.83 c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_a,tc_bool)) = c_Lattices_Oupper__semilattice__class_Osup(V_B,V_A,tc_fun(T_a,tc_bool)) ).
% 4.78/4.83
% 4.78/4.83 cnf(cls_sup__commute_0,axiom,
% 4.78/4.83 ( ~ class_Lattices_Oupper__semilattice(T_a)
% 4.78/4.83 | c_Lattices_Oupper__semilattice__class_Osup(V_x,V_y,T_a) = c_Lattices_Oupper__semilattice__class_Osup(V_y,V_x,T_a) ) ).
% 4.78/4.83
% 4.78/4.83 cnf(cls_inf__sup__aci_I5_J_0,axiom,
% 4.78/4.83 ( ~ class_Lattices_Olattice(T_a)
% 4.78/4.83 | c_Lattices_Oupper__semilattice__class_Osup(V_x,V_y,T_a) = c_Lattices_Oupper__semilattice__class_Osup(V_y,V_x,T_a) ) ).
% 4.78/4.83
% 4.78/4.83 cnf(cls_Un__left__absorb_0,axiom,
% 4.78/4.83 c_Lattices_Oupper__semilattice__class_Osup(V_A,c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)) = c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_a,tc_bool)) ).
% 4.78/4.83
% 4.78/4.83 cnf(cls_sup__left__idem_0,axiom,
% 4.78/4.83 ( ~ class_Lattices_Oupper__semilattice(T_a)
% 4.78/4.83 | c_Lattices_Oupper__semilattice__class_Osup(V_x,c_Lattices_Oupper__semilattice__class_Osup(V_x,V_y,T_a),T_a) = c_Lattices_Oupper__semilattice__class_Osup(V_x,V_y,T_a) ) ).
% 4.78/4.83
% 4.78/4.83 cnf(cls_inf__sup__aci_I8_J_0,axiom,
% 4.78/4.83 ( ~ class_Lattices_Olattice(T_a)
% 4.78/4.83 | c_Lattices_Oupper__semilattice__class_Osup(V_x,c_Lattices_Oupper__semilattice__class_Osup(V_x,V_y,T_a),T_a) = c_Lattices_Oupper__semilattice__class_Osup(V_x,V_y,T_a) ) ).
% 4.78/4.83
% 4.78/4.83 cnf(cls_event_Osimps_I5_J_0,axiom,
% 4.78/4.83 c_Event_Oevent_OGets(V_agent_H,V_msg_H) != c_Event_Oevent_OSays(V_agent1,V_agent2,V_msg) ).
% 4.78/4.83
% 4.78/4.83 cnf(cls_Nil__is__append__conv_2,axiom,
% 4.78/4.83 c_List_Olist_ONil(T_a) = c_List_Oappend(c_List_Olist_ONil(T_a),c_List_Olist_ONil(T_a),T_a) ).
% 4.78/4.83
% 4.78/4.83 cnf(cls_rev__append_0,axiom,
% 4.78/4.83 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) ).
% 4.78/4.83
% 4.78/4.83 cnf(cls_keysFor__mono_0,axiom,
% 4.78/4.83 ( c_lessequals(c_Message_OkeysFor(V_G),c_Message_OkeysFor(V_H),tc_fun(tc_nat,tc_bool))
% 4.78/4.83 | ~ c_lessequals(V_G,V_H,tc_fun(tc_Message_Omsg,tc_bool)) ) ).
% 4.78/4.83
% 4.78/4.83 cnf(cls_double__complement_0,axiom,
% 4.78/4.83 c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(V_A,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)) = V_A ).
% 4.78/4.83
% 4.78/4.83 cnf(cls_minus__minus_0,axiom,
% 4.78/4.83 ( ~ class_OrderedGroup_Ogroup__add(T_a)
% 4.78/4.83 | c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(V_a,T_a),T_a) = V_a ) ).
% 4.78/4.83
% 4.78/4.83 cnf(cls_double__compl_0,axiom,
% 4.78/4.83 ( ~ class_Lattices_Oboolean__algebra(T_a)
% 4.78/4.83 | c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(V_x,T_a),T_a) = V_x ) ).
% 4.78/4.83
% 4.78/4.83 cnf(cls_equation__minus__iff_0,axiom,
% 4.78/4.83 ( ~ class_OrderedGroup_Ogroup__add(T_a)
% 4.78/4.83 | V_b = c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(V_b,T_a),T_a) ) ).
% 4.78/4.83
% 4.78/4.83 cnf(cls_equation__minus__iff_1,axiom,
% 4.78/4.83 ( ~ class_OrderedGroup_Ogroup__add(T_a)
% 4.78/4.83 | V_a = c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(V_a,T_a),T_a) ) ).
% 4.78/4.83
% 4.78/4.83 cnf(cls_minus__equation__iff_1,axiom,
% 4.78/4.83 ( ~ class_OrderedGroup_Ogroup__add(T_a)
% 4.78/4.83 | c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(V_b,T_a),T_a) = V_b ) ).
% 4.78/4.83
% 4.78/4.83 cnf(cls_le__funD_0,axiom,
% 4.78/4.83 ( ~ class_HOL_Oord(T_b)
% 4.78/4.83 | c_lessequals(hAPP(V_f,V_x),hAPP(V_g,V_x),T_b)
% 4.78/4.83 | ~ c_lessequals(V_f,V_g,tc_fun(T_a,T_b)) ) ).
% 4.78/4.83
% 4.78/4.83 cnf(cls_le__minus__iff_0,axiom,
% 4.78/4.83 ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a)
% 4.78/4.83 | c_lessequals(V_b,c_HOL_Ouminus__class_Ouminus(V_a,T_a),T_a)
% 4.78/4.83 | ~ c_lessequals(V_a,c_HOL_Ouminus__class_Ouminus(V_b,T_a),T_a) ) ).
% 4.78/4.83
% 4.78/4.83 cnf(cls_le__minus__iff_1,axiom,
% 4.78/4.83 ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a)
% 4.78/4.83 | c_lessequals(V_a,c_HOL_Ouminus__class_Ouminus(V_b,T_a),T_a)
% 4.78/4.83 | ~ c_lessequals(V_b,c_HOL_Ouminus__class_Ouminus(V_a,T_a),T_a) ) ).
% 4.78/4.83
% 4.78/4.83 cnf(cls_minus__le__iff_0,axiom,
% 4.78/4.83 ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a)
% 4.78/4.83 | c_lessequals(c_HOL_Ouminus__class_Ouminus(V_b,T_a),V_a,T_a)
% 4.78/4.83 | ~ c_lessequals(c_HOL_Ouminus__class_Ouminus(V_a,T_a),V_b,T_a) ) ).
% 4.78/4.83
% 4.78/4.83 cnf(cls_minus__le__iff_1,axiom,
% 4.78/4.83 ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a)
% 4.78/4.83 | c_lessequals(c_HOL_Ouminus__class_Ouminus(V_a,T_a),V_b,T_a)
% 4.78/4.84 | ~ c_lessequals(c_HOL_Ouminus__class_Ouminus(V_b,T_a),V_a,T_a) ) ).
% 4.78/4.84
% 4.78/4.84 cnf(cls_subset__iff_0,axiom,
% 4.78/4.84 ( c_in(V_t,V_B,T_a)
% 4.78/4.84 | ~ c_in(V_t,V_A,T_a)
% 4.78/4.84 | ~ c_lessequals(V_A,V_B,tc_fun(T_a,tc_bool)) ) ).
% 4.78/4.84
% 4.78/4.84 cnf(cls_set__rev__mp_0,axiom,
% 4.78/4.84 ( c_in(V_x,V_B,T_a)
% 4.78/4.84 | ~ c_lessequals(V_A,V_B,tc_fun(T_a,tc_bool))
% 4.78/4.84 | ~ c_in(V_x,V_A,T_a) ) ).
% 4.78/4.84
% 4.78/4.84 cnf(cls_subsetD_0,axiom,
% 4.78/4.84 ( c_in(V_c,V_B,T_a)
% 4.78/4.84 | ~ c_in(V_c,V_A,T_a)
% 4.78/4.84 | ~ c_lessequals(V_A,V_B,tc_fun(T_a,tc_bool)) ) ).
% 4.78/4.84
% 4.78/4.84 cnf(cls_set__mp_0,axiom,
% 4.78/4.84 ( c_in(V_x,V_B,T_a)
% 4.78/4.84 | ~ c_in(V_x,V_A,T_a)
% 4.78/4.84 | ~ c_lessequals(V_A,V_B,tc_fun(T_a,tc_bool)) ) ).
% 4.78/4.84
% 4.78/4.84 cnf(cls_UnCI_1,axiom,
% 4.78/4.84 ( c_in(V_c,c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_a,tc_bool)),T_a)
% 4.78/4.84 | ~ c_in(V_c,V_A,T_a) ) ).
% 4.78/4.84
% 4.78/4.84 cnf(cls_UnCI_0,axiom,
% 4.78/4.84 ( c_in(V_c,c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_a,tc_bool)),T_a)
% 4.78/4.84 | ~ c_in(V_c,V_B,T_a) ) ).
% 4.78/4.84
% 4.78/4.84 cnf(cls_UnE_0,axiom,
% 4.78/4.84 ( c_in(V_c,V_B,T_a)
% 4.78/4.84 | c_in(V_c,V_A,T_a)
% 4.78/4.84 | ~ c_in(V_c,c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_a,tc_bool)),T_a) ) ).
% 4.78/4.84
% 4.78/4.84 cnf(cls_ComplI_0,axiom,
% 4.78/4.84 ( c_in(V_c,c_HOL_Ouminus__class_Ouminus(V_A,tc_fun(T_a,tc_bool)),T_a)
% 4.78/4.84 | c_in(V_c,V_A,T_a) ) ).
% 4.78/4.84
% 4.78/4.84 cnf(cls_ComplD_0,axiom,
% 4.78/4.84 ( ~ c_in(V_c,V_A,T_a)
% 4.78/4.84 | ~ c_in(V_c,c_HOL_Ouminus__class_Ouminus(V_A,tc_fun(T_a,tc_bool)),T_a) ) ).
% 4.78/4.84
% 4.78/4.84 cnf(cls_parts__Un_0,axiom,
% 4.78/4.84 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)) ).
% 4.78/4.84
% 4.78/4.84 cnf(cls_parts__increasing_0,axiom,
% 4.78/4.84 c_lessequals(V_H,c_Message_Oparts(V_H),tc_fun(tc_Message_Omsg,tc_bool)) ).
% 4.78/4.84
% 4.78/4.84 cnf(cls_parts__mono_0,axiom,
% 4.78/4.84 ( c_lessequals(c_Message_Oparts(V_G),c_Message_Oparts(V_H),tc_fun(tc_Message_Omsg,tc_bool))
% 4.78/4.84 | ~ c_lessequals(V_G,V_H,tc_fun(tc_Message_Omsg,tc_bool)) ) ).
% 4.78/4.84
% 4.78/4.84 cnf(cls_parts__subset__iff_1,axiom,
% 4.78/4.84 ( c_lessequals(c_Message_Oparts(V_G),c_Message_Oparts(V_H),tc_fun(tc_Message_Omsg,tc_bool))
% 4.78/4.84 | ~ c_lessequals(V_G,c_Message_Oparts(V_H),tc_fun(tc_Message_Omsg,tc_bool)) ) ).
% 4.78/4.84
% 4.78/4.84 cnf(cls_parts__subset__iff_0,axiom,
% 4.78/4.84 ( c_lessequals(V_G,c_Message_Oparts(V_H),tc_fun(tc_Message_Omsg,tc_bool))
% 4.78/4.84 | ~ c_lessequals(c_Message_Oparts(V_G),c_Message_Oparts(V_H),tc_fun(tc_Message_Omsg,tc_bool)) ) ).
% 4.78/4.84
% 4.78/4.84 cnf(cls_analz__mono_0,axiom,
% 4.78/4.84 ( c_lessequals(c_Message_Oanalz(V_G),c_Message_Oanalz(V_H),tc_fun(tc_Message_Omsg,tc_bool))
% 4.78/4.84 | ~ c_lessequals(V_G,V_H,tc_fun(tc_Message_Omsg,tc_bool)) ) ).
% 4.78/4.84
% 4.78/4.84 cnf(cls_analz__subset__iff_1,axiom,
% 4.78/4.84 ( c_lessequals(c_Message_Oanalz(V_G),c_Message_Oanalz(V_H),tc_fun(tc_Message_Omsg,tc_bool))
% 4.78/4.84 | ~ c_lessequals(V_G,c_Message_Oanalz(V_H),tc_fun(tc_Message_Omsg,tc_bool)) ) ).
% 4.78/4.84
% 4.78/4.84 cnf(cls_analz__subset__iff_0,axiom,
% 4.78/4.84 ( c_lessequals(V_G,c_Message_Oanalz(V_H),tc_fun(tc_Message_Omsg,tc_bool))
% 4.78/4.84 | ~ c_lessequals(c_Message_Oanalz(V_G),c_Message_Oanalz(V_H),tc_fun(tc_Message_Omsg,tc_bool)) ) ).
% 4.78/4.84
% 4.78/4.84 cnf(cls_analz__increasing_0,axiom,
% 4.78/4.84 c_lessequals(V_H,c_Message_Oanalz(V_H),tc_fun(tc_Message_Omsg,tc_bool)) ).
% 4.78/4.84
% 4.78/4.84 cnf(cls_analz__analz__Un_0,axiom,
% 4.78/4.84 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))) ).
% 4.78/4.84
% 4.78/4.84 cnf(cls_analz__cong_0,axiom,
% 4.78/4.84 ( c_Message_Oanalz(V_H) != c_Message_Oanalz(V_H_H)
% 4.78/4.84 | c_Message_Oanalz(V_G) != c_Message_Oanalz(V_G_H)
% 4.78/4.84 | 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))) ) ).
% 4.78/4.84
% 4.78/4.84 cnf(cls_used__nil__subset_0,axiom,
% 4.78/4.84 c_lessequals(c_Event_Oused(c_List_Olist_ONil(tc_Event_Oevent)),c_Event_Oused(V_evs),tc_fun(tc_Message_Omsg,tc_bool)) ).
% 4.78/4.84
% 4.78/4.84 cnf(cls_Fake__parts__insert_0,axiom,
% 4.78/4.84 ( 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))
% 4.78/4.84 | ~ c_in(V_X,c_Message_Osynth(c_Message_Oanalz(V_H)),tc_Message_Omsg) ) ).
% 4.78/4.84
% 4.78/4.84 cnf(cls_in__set__conv__decomp__first_2,axiom,
% 4.78/4.84 ( 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)
% 4.78/4.84 | c_in(V_x,c_List_Oset(V_xa,T_a),T_a) ) ).
% 4.78/4.84
% 4.78/4.84 cnf(cls_in__set__conv__decomp__last_2,axiom,
% 4.78/4.84 ( 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)
% 4.78/4.84 | c_in(V_x,c_List_Oset(V_xb,T_a),T_a) ) ).
% 4.78/4.84
% 4.78/4.84 cnf(cls_in__set__conv__decomp_1,axiom,
% 4.78/4.84 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) ).
% 4.78/4.84
% 4.78/4.84 cnf(cls_parts__cut_0,axiom,
% 4.78/4.84 ( 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)
% 4.78/4.84 | ~ c_in(V_X,c_Message_Oparts(V_H),tc_Message_Omsg)
% 4.78/4.84 | ~ c_in(V_Y,c_Message_Oparts(c_Set_Oinsert(V_X,V_G,tc_Message_Omsg)),tc_Message_Omsg) ) ).
% 4.78/4.84
% 4.78/4.84 cnf(cls_gen__analz__insert__eq_0,axiom,
% 4.78/4.84 ( c_Message_Oanalz(c_Set_Oinsert(V_X,V_G,tc_Message_Omsg)) = c_Message_Oanalz(V_G)
% 4.78/4.84 | ~ c_lessequals(V_H,V_G,tc_fun(tc_Message_Omsg,tc_bool))
% 4.78/4.84 | ~ c_in(V_X,c_Message_Oanalz(V_H),tc_Message_Omsg) ) ).
% 4.78/4.84
% 4.78/4.84 cnf(cls_rev_Osimps_I2_J_0,axiom,
% 4.78/4.84 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) ).
% 4.78/4.84
% 4.78/4.84 cnf(cls_rev__eq__Cons__iff_0,axiom,
% 4.78/4.84 ( c_List_Orev(V_xs,T_a) != c_List_Olist_OCons(V_y,V_ys,T_a)
% 4.78/4.84 | 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) ) ).
% 4.78/4.84
% 4.78/4.84 cnf(cls_rev__eq__Cons__iff_1,axiom,
% 4.78/4.84 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) ).
% 4.78/4.84
% 4.78/4.84 cnf(cls_analz__insert__Crypt__subset_0,axiom,
% 4.78/4.84 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)) ).
% 4.78/4.84
% 4.78/4.84 cnf(cls_knows__Spy__Gets_0,axiom,
% 4.78/4.84 c_Event_Oknows(c_Message_Oagent_OSpy,c_List_Olist_OCons(c_Event_Oevent_OGets(V_A,V_X),V_evs,tc_Event_Oevent)) = c_Event_Oknows(c_Message_Oagent_OSpy,V_evs) ).
% 4.78/4.84
% 4.78/4.84 cnf(cls_knows__subset__knows__Says_0,axiom,
% 4.78/4.84 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)) ).
% 4.78/4.84
% 4.78/4.84 cnf(cls_not__symKeys__priK_0,axiom,
% 4.78/4.84 ~ c_in(hAPP(c_Message_OinvKey,hAPP(c_Public_OpublicKey(V_b),V_A)),c_Message_OsymKeys,tc_nat) ).
% 4.78/4.84
% 4.78/4.84 cnf(cls_knows__subset__knows__Notes_0,axiom,
% 4.78/4.84 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)) ).
% 4.78/4.84
% 4.78/4.84 cnf(cls_analz__image__freshK_2,axiom,
% 4.78/4.84 ( 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)
% 4.78/4.84 | ~ c_in(hAPP(c_Message_Omsg_OKey,V_K),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,V_evs)),tc_Message_Omsg)
% 4.78/4.84 | ~ 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))
% 4.78/4.84 | ~ c_in(V_evs,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent)) ) ).
% 4.78/4.84
% 4.78/4.84 cnf(cls_analz__insert__Key_0,axiom,
% 4.78/4.84 ( 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)
% 4.78/4.84 | c_in(V_K,c_Message_OkeysFor(c_Message_Oanalz(V_H)),tc_nat) ) ).
% 4.78/4.84
% 4.78/4.84 cnf(cls_event_Osimps_I2_J_1,axiom,
% 4.78/4.84 ( c_Event_Oevent_OGets(V_agent,V_msg) != c_Event_Oevent_OGets(V_agent_H,V_msg_H)
% 4.78/4.84 | V_msg = V_msg_H ) ).
% 4.78/4.84
% 4.78/4.84 cnf(cls_event_Osimps_I2_J_0,axiom,
% 4.78/4.84 ( c_Event_Oevent_OGets(V_agent,V_msg) != c_Event_Oevent_OGets(V_agent_H,V_msg_H)
% 4.78/4.84 | V_agent = V_agent_H ) ).
% 4.78/4.84
% 4.78/4.84 cnf(cls_compl__eq__compl__iff_0,axiom,
% 4.78/4.84 ( ~ class_Lattices_Oboolean__algebra(T_a)
% 4.78/4.84 | c_HOL_Ouminus__class_Ouminus(V_x,T_a) != c_HOL_Ouminus__class_Ouminus(V_y,T_a)
% 4.78/4.84 | V_x = V_y ) ).
% 4.78/4.84
% 4.78/4.84 cnf(cls_neg__equal__iff__equal_0,axiom,
% 4.78/4.84 ( ~ class_OrderedGroup_Ogroup__add(T_a)
% 4.78/4.84 | c_HOL_Ouminus__class_Ouminus(V_a,T_a) != c_HOL_Ouminus__class_Ouminus(V_b,T_a)
% 4.78/4.84 | V_a = V_b ) ).
% 4.78/4.84
% 4.78/4.84 cnf(cls_Compl__eq__Compl__iff_0,axiom,
% 4.78/4.84 ( 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))
% 4.78/4.84 | V_A = V_B ) ).
% 4.78/4.84
% 4.78/4.84 cnf(cls_equalityI_0,axiom,
% 4.78/4.84 ( V_A = V_B
% 4.78/4.84 | ~ c_lessequals(V_B,V_A,tc_fun(T_a,tc_bool))
% 4.78/4.84 | ~ c_lessequals(V_A,V_B,tc_fun(T_a,tc_bool)) ) ).
% 4.78/4.84
% 4.78/4.84 cnf(cls_set__eq__subset_2,axiom,
% 4.78/4.84 ( V_A = V_B
% 4.78/4.84 | ~ c_lessequals(V_B,V_A,tc_fun(T_a,tc_bool))
% 4.78/4.84 | ~ c_lessequals(V_A,V_B,tc_fun(T_a,tc_bool)) ) ).
% 4.78/4.84
% 4.78/4.84 cnf(cls_order__eq__iff_2,axiom,
% 4.78/4.84 ( ~ class_Orderings_Oorder(T_a)
% 4.78/4.84 | V_x = V_y
% 4.78/4.84 | ~ c_lessequals(V_y,V_x,T_a)
% 4.78/4.84 | ~ c_lessequals(V_x,V_y,T_a) ) ).
% 4.78/4.84
% 4.78/4.84 cnf(cls_order__antisym_0,axiom,
% 4.78/4.84 ( ~ class_Orderings_Oorder(T_a)
% 4.78/4.84 | V_x = V_y
% 4.78/4.84 | ~ c_lessequals(V_y,V_x,T_a)
% 4.78/4.84 | ~ c_lessequals(V_x,V_y,T_a) ) ).
% 4.78/4.84
% 4.78/4.84 cnf(cls_order__antisym__conv_0,axiom,
% 4.78/4.84 ( ~ class_Orderings_Oorder(T_a)
% 4.78/4.84 | V_x = V_y
% 4.78/4.84 | ~ c_lessequals(V_x,V_y,T_a)
% 4.78/4.84 | ~ c_lessequals(V_y,V_x,T_a) ) ).
% 4.78/4.84
% 4.78/4.84 cnf(cls_event_Osimps_I8_J_0,axiom,
% 4.78/4.84 c_Event_Oevent_OGets(V_agent,V_msg) != c_Event_Oevent_ONotes(V_agent_H,V_msg_H) ).
% 4.78/4.84
% 4.78/4.84 cnf(cls_sup__absorb1_0,axiom,
% 4.78/4.84 ( ~ class_Lattices_Oupper__semilattice(T_a)
% 4.78/4.84 | c_Lattices_Oupper__semilattice__class_Osup(V_x,V_y,T_a) = V_x
% 4.78/4.84 | ~ c_lessequals(V_y,V_x,T_a) ) ).
% 4.78/4.84
% 4.78/4.84 cnf(cls_le__iff__sup_1,axiom,
% 4.78/4.84 ( ~ class_Lattices_Oupper__semilattice(T_a)
% 4.78/4.84 | c_Lattices_Oupper__semilattice__class_Osup(V_x,V_y,T_a) != V_y
% 4.78/4.84 | c_lessequals(V_x,V_y,T_a) ) ).
% 4.78/4.84
% 4.78/4.84 cnf(cls_le__iff__sup_0,axiom,
% 4.78/4.84 ( ~ class_Lattices_Oupper__semilattice(T_a)
% 4.78/4.84 | c_Lattices_Oupper__semilattice__class_Osup(V_x,V_y,T_a) = V_y
% 4.78/4.84 | ~ c_lessequals(V_x,V_y,T_a) ) ).
% 4.78/4.84
% 4.78/4.84 cnf(cls_Un__absorb1_0,axiom,
% 4.78/4.84 ( c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_a,tc_bool)) = V_B
% 4.78/4.84 | ~ c_lessequals(V_A,V_B,tc_fun(T_a,tc_bool)) ) ).
% 4.78/4.84
% 4.78/4.84 cnf(cls_Un__absorb2_0,axiom,
% 4.78/4.84 ( c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_a,tc_bool)) = V_A
% 4.78/4.84 | ~ c_lessequals(V_B,V_A,tc_fun(T_a,tc_bool)) ) ).
% 4.78/4.84
% 4.78/4.84 cnf(cls_subset__Un__eq_1,axiom,
% 4.78/4.84 ( c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_a,tc_bool)) != V_B
% 4.78/4.84 | c_lessequals(V_A,V_B,tc_fun(T_a,tc_bool)) ) ).
% 4.78/4.84
% 4.78/4.84 cnf(cls_set__append_0,axiom,
% 4.78/4.84 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)) ).
% 4.78/4.84
% 4.78/4.84 cnf(cls_analz__image__freshK__simps_I57_J_0,axiom,
% 4.78/4.84 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) ).
% 4.78/4.84
% 4.78/4.84 cnf(cls_Un__mono_0,axiom,
% 4.78/4.84 ( 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))
% 4.78/4.84 | ~ c_lessequals(V_B,V_D,tc_fun(T_a,tc_bool))
% 4.78/4.84 | ~ c_lessequals(V_A,V_C,tc_fun(T_a,tc_bool)) ) ).
% 4.78/4.84
% 4.78/4.84 cnf(cls_subset__UNIV_0,axiom,
% 4.78/4.84 c_lessequals(V_A,c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)) ).
% 4.78/4.84
% 4.78/4.84 cnf(cls_top__greatest_0,axiom,
% 4.78/4.84 ( ~ class_Orderings_Otop(T_a)
% 4.78/4.84 | c_lessequals(V_x,c_Orderings_Otop__class_Otop(T_a),T_a) ) ).
% 4.78/4.84
% 4.78/4.84 cnf(cls_append__self__conv_0,axiom,
% 4.78/4.84 ( c_List_Oappend(V_xs,V_ys,T_a) != V_xs
% 4.78/4.84 | V_ys = c_List_Olist_ONil(T_a) ) ).
% 4.78/4.84
% 4.78/4.84 cnf(cls_self__append__conv_0,axiom,
% 4.78/4.84 ( V_xs != c_List_Oappend(V_xs,V_ys,T_a)
% 4.78/4.84 | V_ys = c_List_Olist_ONil(T_a) ) ).
% 4.78/4.84
% 4.78/4.84 cnf(cls_append__self__conv2_0,axiom,
% 4.78/4.84 ( c_List_Oappend(V_xs,V_ys,T_a) != V_ys
% 4.78/4.84 | V_xs = c_List_Olist_ONil(T_a) ) ).
% 4.78/4.84
% 4.78/4.84 cnf(cls_self__append__conv2_0,axiom,
% 4.78/4.84 ( V_ys != c_List_Oappend(V_xs,V_ys,T_a)
% 4.78/4.84 | V_xs = c_List_Olist_ONil(T_a) ) ).
% 4.78/4.84
% 4.78/4.84 cnf(cls_event_Osimps_I9_J_0,axiom,
% 4.78/4.84 c_Event_Oevent_ONotes(V_agent_H,V_msg_H) != c_Event_Oevent_OGets(V_agent,V_msg) ).
% 4.78/4.84
% 4.78/4.84 cnf(cls_synth__increasing_0,axiom,
% 4.78/4.84 c_lessequals(V_H,c_Message_Osynth(V_H),tc_fun(tc_Message_Omsg,tc_bool)) ).
% 4.78/4.84
% 4.78/4.84 cnf(cls_le__sup__iff_1,axiom,
% 4.78/4.84 ( ~ class_Lattices_Oupper__semilattice(T_a)
% 4.78/4.84 | c_lessequals(V_y,V_z,T_a)
% 4.78/4.84 | ~ c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(V_x,V_y,T_a),V_z,T_a) ) ).
% 4.78/4.84
% 4.78/4.84 cnf(cls_le__sup__iff_0,axiom,
% 4.78/4.84 ( ~ class_Lattices_Oupper__semilattice(T_a)
% 4.78/4.84 | c_lessequals(V_x,V_z,T_a)
% 4.78/4.84 | ~ c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(V_x,V_y,T_a),V_z,T_a) ) ).
% 4.78/4.84
% 4.78/4.84 cnf(cls_le__supI2_0,axiom,
% 4.78/4.84 ( ~ class_Lattices_Oupper__semilattice(T_a)
% 4.78/4.84 | c_lessequals(V_x,c_Lattices_Oupper__semilattice__class_Osup(V_a,V_b,T_a),T_a)
% 4.78/4.84 | ~ c_lessequals(V_x,V_b,T_a) ) ).
% 4.78/4.84
% 4.78/4.84 cnf(cls_le__supI1_0,axiom,
% 4.78/4.84 ( ~ class_Lattices_Oupper__semilattice(T_a)
% 4.78/4.84 | c_lessequals(V_x,c_Lattices_Oupper__semilattice__class_Osup(V_a,V_b,T_a),T_a)
% 4.78/4.84 | ~ c_lessequals(V_x,V_a,T_a) ) ).
% 4.78/4.84
% 4.78/4.84 cnf(cls_le__supE_1,axiom,
% 4.78/4.84 ( ~ class_Lattices_Oupper__semilattice(T_a)
% 4.78/4.84 | c_lessequals(V_b,V_x,T_a)
% 4.78/4.84 | ~ c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(V_a,V_b,T_a),V_x,T_a) ) ).
% 4.78/4.84
% 4.78/4.84 cnf(cls_le__supE_0,axiom,
% 4.78/4.84 ( ~ class_Lattices_Oupper__semilattice(T_a)
% 4.78/4.84 | c_lessequals(V_a,V_x,T_a)
% 4.78/4.84 | ~ c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(V_a,V_b,T_a),V_x,T_a) ) ).
% 4.78/4.84
% 4.78/4.84 cnf(cls_Un__subset__iff_0,axiom,
% 4.78/4.84 ( c_lessequals(V_A,V_C,tc_fun(T_a,tc_bool))
% 4.78/4.84 | ~ 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)) ) ).
% 4.78/4.84
% 4.78/4.84 cnf(cls_Un__subset__iff_1,axiom,
% 4.78/4.84 ( c_lessequals(V_B,V_C,tc_fun(T_a,tc_bool))
% 4.78/4.84 | ~ 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)) ) ).
% 4.78/4.84
% 4.78/4.84 cnf(cls_xt1_I6_J_0,axiom,
% 4.78/4.84 ( ~ class_Orderings_Oorder(T_a)
% 4.78/4.84 | c_lessequals(V_z,V_x,T_a)
% 4.78/4.84 | ~ c_lessequals(V_z,V_y,T_a)
% 4.78/4.84 | ~ c_lessequals(V_y,V_x,T_a) ) ).
% 4.78/4.84
% 4.78/4.84 cnf(cls_order__trans_0,axiom,
% 4.78/4.84 ( ~ class_Orderings_Opreorder(T_a)
% 4.78/4.84 | c_lessequals(V_x,V_z,T_a)
% 4.78/4.84 | ~ c_lessequals(V_y,V_z,T_a)
% 4.78/4.84 | ~ c_lessequals(V_x,V_y,T_a) ) ).
% 4.78/4.84
% 4.78/4.84 cnf(cls_equalityE_0,axiom,
% 4.78/4.84 c_lessequals(V_x,V_x,tc_fun(T_a,tc_bool)) ).
% 4.78/4.84
% 4.78/4.84 cnf(cls_subset__refl_0,axiom,
% 4.78/4.84 c_lessequals(V_A,V_A,tc_fun(T_a,tc_bool)) ).
% 4.78/4.84
% 4.78/4.84 cnf(cls_subset__trans_0,axiom,
% 4.78/4.84 ( c_lessequals(V_A,V_C,tc_fun(T_a,tc_bool))
% 4.78/4.84 | ~ c_lessequals(V_B,V_C,tc_fun(T_a,tc_bool))
% 4.78/4.84 | ~ c_lessequals(V_A,V_B,tc_fun(T_a,tc_bool)) ) ).
% 4.78/4.84
% 4.78/4.84 cnf(cls_predicate1D_0,axiom,
% 4.78/4.84 ( hBOOL(hAPP(V_Q,V_x))
% 4.78/4.84 | ~ hBOOL(hAPP(V_P,V_x))
% 4.78/4.84 | ~ c_lessequals(V_P,V_Q,tc_fun(T_a,tc_bool)) ) ).
% 4.78/4.84
% 4.78/4.84 cnf(cls_order__eq__iff_0,axiom,
% 4.78/4.84 ( ~ class_Orderings_Oorder(T_a)
% 4.78/4.84 | c_lessequals(V_x,V_x,T_a) ) ).
% 4.78/4.84
% 4.78/4.84 cnf(cls_order__eq__refl_0,axiom,
% 4.78/4.84 ( ~ class_Orderings_Opreorder(T_a)
% 4.78/4.84 | c_lessequals(V_x,V_x,T_a) ) ).
% 4.78/4.84
% 4.78/4.84 cnf(cls_rev__predicate1D_0,axiom,
% 4.78/4.84 ( hBOOL(hAPP(V_Q,V_x))
% 4.78/4.84 | ~ c_lessequals(V_P,V_Q,tc_fun(T_a,tc_bool))
% 4.78/4.84 | ~ hBOOL(hAPP(V_P,V_x)) ) ).
% 4.78/4.84
% 4.78/4.84 cnf(cls_image__mono_0,axiom,
% 4.78/4.84 ( 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))
% 4.78/4.84 | ~ c_lessequals(V_A,V_B,tc_fun(T_a,tc_bool)) ) ).
% 4.78/4.84
% 4.78/4.84 cnf(cls_subset__image__iff_2,axiom,
% 4.78/4.84 ( ~ c_lessequals(V_x,V_A,tc_fun(T_b,tc_bool))
% 4.78/4.84 | 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)) ) ).
% 4.78/4.84
% 4.78/4.84 cnf(cls_insert__mono_0,axiom,
% 4.78/4.84 ( 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))
% 4.78/4.84 | ~ c_lessequals(V_C,V_D,tc_fun(T_a,tc_bool)) ) ).
% 4.78/4.84
% 4.78/4.84 cnf(cls_append__is__Nil__conv_2,axiom,
% 4.78/4.84 c_List_Oappend(c_List_Olist_ONil(T_a),c_List_Olist_ONil(T_a),T_a) = c_List_Olist_ONil(T_a) ).
% 4.78/4.84
% 4.78/4.84 cnf(cls_image__Un_0,axiom,
% 4.78/4.84 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)) ).
% 4.78/4.84
% 4.78/4.84 cnf(cls_analz__subset__cong_0,axiom,
% 4.78/4.84 ( 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))
% 4.78/4.84 | ~ c_lessequals(c_Message_Oanalz(V_H),c_Message_Oanalz(V_H_H),tc_fun(tc_Message_Omsg,tc_bool))
% 4.78/4.84 | ~ c_lessequals(c_Message_Oanalz(V_G),c_Message_Oanalz(V_G_H),tc_fun(tc_Message_Omsg,tc_bool)) ) ).
% 4.78/4.84
% 4.78/4.84 cnf(cls_append__assoc_0,axiom,
% 4.78/4.84 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) ).
% 4.78/4.84
% 4.78/4.84 cnf(cls_append__eq__appendI_0,axiom,
% 4.78/4.84 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) ).
% 4.78/4.84
% 4.78/4.84 cnf(cls_append__eq__append__conv2_4,axiom,
% 4.78/4.84 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) ).
% 4.78/4.84
% 4.78/4.84 cnf(cls_append__eq__append__conv2_5,axiom,
% 4.78/4.84 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) ).
% 4.78/4.84
% 4.78/4.84 cnf(cls_linorder__linear_0,axiom,
% 4.78/4.84 ( ~ class_Orderings_Olinorder(T_a)
% 4.78/4.84 | c_lessequals(V_y,V_x,T_a)
% 4.78/4.84 | c_lessequals(V_x,V_y,T_a) ) ).
% 4.78/4.84
% 4.78/4.84 cnf(cls_parts__insert__subset__Un_0,axiom,
% 4.78/4.84 ( 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))
% 4.78/4.84 | ~ c_in(V_X,V_G,tc_Message_Omsg) ) ).
% 4.78/4.84
% 4.78/4.84 cnf(cls_Crypt__imp__keysFor_0,axiom,
% 4.78/4.84 ( c_in(V_K,c_Message_OkeysFor(V_H),tc_nat)
% 4.78/4.84 | ~ c_in(V_K,c_Message_OsymKeys,tc_nat)
% 4.78/4.84 | ~ c_in(c_Message_Omsg_OCrypt(V_K,V_X),V_H,tc_Message_Omsg) ) ).
% 4.78/4.84
% 4.78/4.84 cnf(cls_knows__Spy__subset__knows__Spy__Gets_0,axiom,
% 4.78/4.84 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)) ).
% 4.78/4.84
% 4.78/4.84 cnf(cls_subset__insert_0,axiom,
% 4.78/4.84 ( c_lessequals(V_A,V_B,tc_fun(T_a,tc_bool))
% 4.78/4.84 | ~ c_lessequals(V_A,c_Set_Oinsert(V_x,V_B,T_a),tc_fun(T_a,tc_bool))
% 4.78/4.84 | c_in(V_x,V_A,T_a) ) ).
% 4.78/4.84
% 4.78/4.84 cnf(cls_subset__insert_1,axiom,
% 4.78/4.84 ( c_lessequals(V_A,c_Set_Oinsert(V_x,V_B,T_a),tc_fun(T_a,tc_bool))
% 4.78/4.84 | ~ c_lessequals(V_A,V_B,tc_fun(T_a,tc_bool))
% 4.78/4.84 | c_in(V_x,V_A,T_a) ) ).
% 4.78/4.84
% 4.78/4.84 cnf(cls_subset__insert__iff_1,axiom,
% 4.78/4.84 ( c_lessequals(V_A,V_B,tc_fun(T_a,tc_bool))
% 4.78/4.84 | c_in(V_x,V_A,T_a)
% 4.78/4.84 | ~ c_lessequals(V_A,c_Set_Oinsert(V_x,V_B,T_a),tc_fun(T_a,tc_bool)) ) ).
% 4.78/4.84
% 4.78/4.84 cnf(cls_subset__insert__iff_2,axiom,
% 4.78/4.84 ( c_lessequals(V_A,c_Set_Oinsert(V_x,V_B,T_a),tc_fun(T_a,tc_bool))
% 4.78/4.84 | ~ c_lessequals(V_A,V_B,tc_fun(T_a,tc_bool))
% 4.78/4.84 | c_in(V_x,V_A,T_a) ) ).
% 4.78/4.84
% 4.78/4.84 cnf(cls_insert__subset_0,axiom,
% 4.78/4.84 ( c_in(V_x,V_B,T_a)
% 4.78/4.84 | ~ c_lessequals(c_Set_Oinsert(V_x,V_A,T_a),V_B,tc_fun(T_a,tc_bool)) ) ).
% 4.78/4.84
% 4.78/4.84 cnf(cls_insert__subset_2,axiom,
% 4.78/4.84 ( c_lessequals(c_Set_Oinsert(V_x,V_A,T_a),V_B,tc_fun(T_a,tc_bool))
% 4.78/4.84 | ~ c_lessequals(V_A,V_B,tc_fun(T_a,tc_bool))
% 4.78/4.84 | ~ c_in(V_x,V_B,T_a) ) ).
% 4.78/4.84
% 4.78/4.84 cnf(cls_image__subset__iff_0,axiom,
% 4.78/4.84 ( c_in(hAPP(V_f,V_x),V_B,T_a)
% 4.78/4.84 | ~ c_in(V_x,V_A,T_b)
% 4.78/4.84 | ~ c_lessequals(c_Set_Oimage(V_f,V_A,T_b,T_a),V_B,tc_fun(T_a,tc_bool)) ) ).
% 4.78/4.84
% 4.78/4.84 cnf(cls_Cons__eq__append__conv_4,axiom,
% 4.78/4.84 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) ).
% 4.78/4.84
% 4.78/4.84 cnf(cls_append__eq__Cons__conv_4,axiom,
% 4.78/4.85 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) ).
% 4.78/4.85
% 4.78/4.85 cnf(cls_append1__eq__conv_0,axiom,
% 4.78/4.85 ( 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)
% 4.78/4.85 | V_xs = V_ys ) ).
% 4.78/4.85
% 4.78/4.85 cnf(cls_append1__eq__conv_1,axiom,
% 4.78/4.85 ( 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)
% 4.78/4.85 | V_x = V_y ) ).
% 4.78/4.85
% 4.78/4.85 cnf(cls_set__subset__Cons_0,axiom,
% 4.78/4.85 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)) ).
% 4.78/4.85
% 4.78/4.85 cnf(cls_in__parts__UnE_0,axiom,
% 4.78/4.85 ( c_in(V_c,c_Message_Oparts(V_H),tc_Message_Omsg)
% 4.78/4.85 | c_in(V_c,c_Message_Oparts(V_G),tc_Message_Omsg)
% 4.78/4.85 | ~ 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) ) ).
% 4.78/4.85
% 4.78/4.85 cnf(cls_parts__trans_0,axiom,
% 4.78/4.85 ( c_in(V_X,c_Message_Oparts(V_H),tc_Message_Omsg)
% 4.78/4.85 | ~ c_lessequals(V_G,c_Message_Oparts(V_H),tc_fun(tc_Message_Omsg,tc_bool))
% 4.78/4.85 | ~ c_in(V_X,c_Message_Oparts(V_G),tc_Message_Omsg) ) ).
% 4.78/4.85
% 4.78/4.85 cnf(cls_analz__image__freshK__simps_I61_J_0,axiom,
% 4.78/4.85 ( 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)
% 4.78/4.85 | ~ c_in(V_c,c_Message_Oanalz(V_G),tc_Message_Omsg) ) ).
% 4.78/4.85
% 4.78/4.85 cnf(cls_analz__trans_0,axiom,
% 4.78/4.85 ( c_in(V_X,c_Message_Oanalz(V_H),tc_Message_Omsg)
% 4.78/4.85 | ~ c_lessequals(V_G,c_Message_Oanalz(V_H),tc_fun(tc_Message_Omsg,tc_bool))
% 4.78/4.85 | ~ c_in(V_X,c_Message_Oanalz(V_G),tc_Message_Omsg) ) ).
% 4.78/4.85
% 4.78/4.85 cnf(cls_keysFor__insert__MPair_0,axiom,
% 4.78/4.85 c_Message_OkeysFor(c_Set_Oinsert(c_Message_Omsg_OMPair(V_X,V_Y),V_H,tc_Message_Omsg)) = c_Message_OkeysFor(V_H) ).
% 4.78/4.85
% 4.78/4.85 cnf(cls_analz__subset__parts_0,axiom,
% 4.78/4.85 c_lessequals(c_Message_Oanalz(V_H),c_Message_Oparts(V_H),tc_fun(tc_Message_Omsg,tc_bool)) ).
% 4.78/4.85
% 4.78/4.85 cnf(cls_synth__trans_0,axiom,
% 4.78/4.85 ( c_in(V_X,c_Message_Osynth(V_H),tc_Message_Omsg)
% 4.78/4.85 | ~ c_lessequals(V_G,c_Message_Osynth(V_H),tc_fun(tc_Message_Omsg,tc_bool))
% 4.78/4.85 | ~ c_in(V_X,c_Message_Osynth(V_G),tc_Message_Omsg) ) ).
% 4.78/4.85
% 4.78/4.85 cnf(cls_parts__insert__subset_0,axiom,
% 4.78/4.85 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)) ).
% 4.78/4.85
% 4.78/4.85 cnf(cls_Fake__analz__insert_0,axiom,
% 4.78/4.85 ( 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))
% 4.78/4.85 | ~ c_in(V_X,c_Message_Osynth(c_Message_Oanalz(V_G)),tc_Message_Omsg) ) ).
% 4.78/4.85
% 4.78/4.85 cnf(cls_parts__synth_0,axiom,
% 4.78/4.85 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)) ).
% 4.78/4.85
% 4.78/4.85 cnf(cls_keysFor__insert__Key_0,axiom,
% 4.78/4.85 c_Message_OkeysFor(c_Set_Oinsert(hAPP(c_Message_Omsg_OKey,V_K),V_H,tc_Message_Omsg)) = c_Message_OkeysFor(V_H) ).
% 4.78/4.85
% 4.78/4.85 cnf(cls_analz__insert_0,axiom,
% 4.78/4.85 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)) ).
% 4.78/4.85
% 4.78/4.85 cnf(cls_synth__analz__mono_0,axiom,
% 4.78/4.85 ( 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))
% 4.78/4.85 | ~ c_lessequals(V_G,V_H,tc_fun(tc_Message_Omsg,tc_bool)) ) ).
% 4.78/4.85
% 4.78/4.85 cnf(cls_analz__synth_0,axiom,
% 4.78/4.85 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)) ).
% 4.78/4.85
% 4.78/4.85 cnf(cls_analz__synth__Un_0,axiom,
% 4.78/4.85 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)) ).
% 4.78/4.85
% 4.78/4.85 cnf(cls_keysFor__insert__Agent_0,axiom,
% 4.78/4.85 c_Message_OkeysFor(c_Set_Oinsert(c_Message_Omsg_OAgent(V_A),V_H,tc_Message_Omsg)) = c_Message_OkeysFor(V_H) ).
% 4.78/4.85
% 4.78/4.85 cnf(cls_synth__insert_0,axiom,
% 4.78/4.85 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)) ).
% 4.78/4.85
% 4.78/4.85 cnf(cls_keysFor__insert__Nonce_0,axiom,
% 4.78/4.85 c_Message_OkeysFor(c_Set_Oinsert(c_Message_Omsg_ONonce(V_N),V_H,tc_Message_Omsg)) = c_Message_OkeysFor(V_H) ).
% 4.78/4.85
% 4.78/4.85 cnf(cls_sym__shrK_0,axiom,
% 4.78/4.85 c_in(hAPP(c_Public_OshrK,V_X),c_Message_OsymKeys,tc_nat) ).
% 4.78/4.85
% 4.78/4.85 cnf(cls_invKey__image__eq_0,axiom,
% 4.78/4.85 ( c_in(V_x,V_A,tc_nat)
% 4.78/4.85 | ~ c_in(hAPP(c_Message_OinvKey,V_x),c_Set_Oimage(c_Message_OinvKey,V_A,tc_nat,tc_nat),tc_nat) ) ).
% 4.78/4.85
% 4.78/4.85 cnf(cls_invKey__image__eq_1,axiom,
% 4.78/4.85 ( c_in(hAPP(c_Message_OinvKey,V_x),c_Set_Oimage(c_Message_OinvKey,V_A,tc_nat,tc_nat),tc_nat)
% 4.78/4.85 | ~ c_in(V_x,V_A,tc_nat) ) ).
% 4.78/4.85
% 4.78/4.85 cnf(cls_symKeys__invKey__iff_0,axiom,
% 4.78/4.85 ( c_in(V_K,c_Message_OsymKeys,tc_nat)
% 4.78/4.85 | ~ c_in(hAPP(c_Message_OinvKey,V_K),c_Message_OsymKeys,tc_nat) ) ).
% 4.78/4.85
% 4.78/4.85 cnf(cls_symKeys__invKey__iff_1,axiom,
% 4.78/4.85 ( c_in(hAPP(c_Message_OinvKey,V_K),c_Message_OsymKeys,tc_nat)
% 4.78/4.85 | ~ c_in(V_K,c_Message_OsymKeys,tc_nat) ) ).
% 4.78/4.85
% 4.78/4.85 cnf(cls_invKey__K_0,axiom,
% 4.78/4.85 ( hAPP(c_Message_OinvKey,V_K) = V_K
% 4.78/4.85 | ~ c_in(V_K,c_Message_OsymKeys,tc_nat) ) ).
% 4.78/4.85
% 4.78/4.85 cnf(cls_not__symKeys__pubK_0,axiom,
% 4.78/4.85 ~ c_in(hAPP(c_Public_OpublicKey(V_b),V_A),c_Message_OsymKeys,tc_nat) ).
% 4.78/4.85
% 4.78/4.85 cnf(cls_knows__subset__knows__Cons_0,axiom,
% 4.78/4.85 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)) ).
% 4.78/4.85
% 4.78/4.85 cnf(cls_used__Gets_0,axiom,
% 4.78/4.85 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) ).
% 4.78/4.85
% 4.78/4.85 cnf(cls_spies__Gets__rev_0,axiom,
% 4.78/4.85 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) ).
% 4.78/4.85
% 4.78/4.85 cnf(cls_initState__subset__knows_0,axiom,
% 4.78/4.85 c_lessequals(c_Event_OinitState(V_A),c_Event_Oknows(V_A,V_evs),tc_fun(tc_Message_Omsg,tc_bool)) ).
% 4.78/4.85
% 4.78/4.85 cnf(cls_keysFor__parts__insert_0,axiom,
% 4.78/4.85 ( c_in(hAPP(c_Message_Omsg_OKey,hAPP(c_Message_OinvKey,V_K)),c_Message_Oparts(V_H),tc_Message_Omsg)
% 4.78/4.85 | 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)
% 4.78/4.85 | ~ c_in(V_X,c_Message_Osynth(c_Message_Oanalz(V_H)),tc_Message_Omsg)
% 4.78/4.85 | ~ c_in(V_K,c_Message_OkeysFor(c_Message_Oparts(c_Set_Oinsert(V_X,V_G,tc_Message_Omsg))),tc_nat) ) ).
% 4.78/4.85
% 4.78/4.85 cnf(cls_Crypt__imp__invKey__keysFor_0,axiom,
% 4.78/4.85 ( c_in(hAPP(c_Message_OinvKey,V_K),c_Message_OkeysFor(V_H),tc_nat)
% 4.78/4.85 | ~ c_in(c_Message_Omsg_OCrypt(V_K,V_X),V_H,tc_Message_Omsg) ) ).
% 4.78/4.85
% 4.78/4.85 cnf(cls_analz__image__freshK__lemma_1,axiom,
% 4.78/4.85 ( 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)
% 4.78/4.85 | ~ c_in(hAPP(c_Message_Omsg_OKey,V_K),c_Message_Oanalz(V_H),tc_Message_Omsg)
% 4.78/4.85 | 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) ) ).
% 4.78/4.85
% 4.78/4.85 cnf(cls_analz__image__freshK__lemma_5,axiom,
% 4.78/4.85 ( 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)
% 4.78/4.85 | ~ c_in(hAPP(c_Message_Omsg_OKey,V_K),c_Message_Oanalz(V_H),tc_Message_Omsg)
% 4.78/4.85 | ~ c_in(hAPP(c_Message_Omsg_OKey,V_K),c_Message_Oanalz(V_H),tc_Message_Omsg) ) ).
% 4.78/4.85
% 4.78/4.85 cnf(cls_parts__knows__Spy__subset__used_0,axiom,
% 4.78/4.85 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)) ).
% 4.78/4.85
% 4.78/4.85 cnf(cls_knows__Gets_0,axiom,
% 4.78/4.85 ( 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)
% 4.78/4.85 | V_A = c_Message_Oagent_OSpy ) ).
% 4.78/4.85
% 4.78/4.85 cnf(cls_knows__Spy__subset__knows__Spy__Says_0,axiom,
% 4.78/4.85 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)) ).
% 4.78/4.85
% 4.78/4.85 cnf(cls_analz__image__freshK_1,axiom,
% 4.78/4.85 ( 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)
% 4.78/4.85 | ~ c_in(V_K,V_KK,tc_nat)
% 4.78/4.85 | ~ 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))
% 4.78/4.85 | ~ c_in(V_evs,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent)) ) ).
% 4.78/4.85
% 4.78/4.85 cnf(cls_analz__image__freshK_0,axiom,
% 4.78/4.85 ( c_in(hAPP(c_Message_Omsg_OKey,V_K),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,V_evs)),tc_Message_Omsg)
% 4.78/4.85 | c_in(V_K,V_KK,tc_nat)
% 4.78/4.85 | ~ 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)
% 4.78/4.85 | ~ 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))
% 4.78/4.85 | ~ c_in(V_evs,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent)) ) ).
% 4.78/4.85
% 4.78/4.85 cnf(cls_knows__Spy__subset__knows__Spy__Notes_0,axiom,
% 4.78/4.85 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)) ).
% 4.78/4.85
% 4.78/4.85 cnf(cls_knows__imp__Says__Gets__Notes__initState_0,axiom,
% 4.78/4.85 ( c_in(V_X,c_Event_OinitState(V_A),tc_Message_Omsg)
% 4.78/4.85 | c_in(c_Event_Oevent_ONotes(V_A,V_X),c_List_Oset(V_evs,tc_Event_Oevent),tc_Event_Oevent)
% 4.78/4.85 | c_in(c_Event_Oevent_OGets(V_A,V_X),c_List_Oset(V_evs,tc_Event_Oevent),tc_Event_Oevent)
% 4.78/4.85 | 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)
% 4.78/4.85 | V_A = c_Message_Oagent_OSpy
% 4.78/4.85 | ~ c_in(V_X,c_Event_Oknows(V_A,V_evs),tc_Message_Omsg) ) ).
% 4.78/4.85
% 4.78/4.85 cnf(cls_knows__Spy__imp__Says__Notes__initState_0,axiom,
% 4.78/4.85 ( c_in(V_X,c_Event_OinitState(c_Message_Oagent_OSpy),tc_Message_Omsg)
% 4.78/4.85 | 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)
% 4.78/4.85 | 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)
% 4.78/4.85 | ~ c_in(V_X,c_Event_Oknows(c_Message_Oagent_OSpy,V_evs),tc_Message_Omsg) ) ).
% 4.78/4.85
% 4.78/4.85 cnf(cls_publicKey__notin__image__privateKey_0,axiom,
% 4.78/4.85 ~ 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) ).
% 4.78/4.85
% 4.78/4.85 cnf(cls_privateKey__image__eq_0,axiom,
% 4.78/4.85 ( V_b = V_c
% 4.78/4.85 | ~ 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) ) ).
% 4.78/4.85
% 4.78/4.85 cnf(cls_Issues__def_0,axiom,
% 4.78/4.85 ( 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)
% 4.78/4.85 | ~ c_NS__Shared__Mirabelle_OIssues(V_A,V_B,V_X,V_evs) ) ).
% 4.78/4.85
% 4.78/4.85 cnf(cls_new__keys__not__used_0,axiom,
% 4.78/4.85 ( ~ c_in(V_K,c_Message_OkeysFor(c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,V_evs))),tc_nat)
% 4.78/4.85 | ~ c_in(V_evs,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))
% 4.78/4.85 | ~ c_in(V_K,c_Message_OsymKeys,tc_nat)
% 4.78/4.85 | c_in(hAPP(c_Message_Omsg_OKey,V_K),c_Event_Oused(V_evs),tc_Message_Omsg) ) ).
% 4.78/4.85
% 4.78/4.85 cnf(cls_parts__spies__evs__revD2_0,axiom,
% 4.78/4.85 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)) ).
% 4.78/4.85
% 4.78/4.85 cnf(cls_Fake__parts__insert__in__Un_0,axiom,
% 4.78/4.85 ( 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)
% 4.78/4.85 | ~ c_in(V_X,c_Message_Osynth(c_Message_Oanalz(V_H)),tc_Message_Omsg)
% 4.78/4.85 | ~ c_in(V_Z,c_Message_Oparts(c_Set_Oinsert(V_X,V_H,tc_Message_Omsg)),tc_Message_Omsg) ) ).
% 4.78/4.85
% 4.78/4.85 cnf(cls_analz__Decrypt_H_0,axiom,
% 4.78/4.85 ( c_in(V_X,c_Message_Oanalz(V_H),tc_Message_Omsg)
% 4.78/4.85 | ~ c_in(hAPP(c_Message_Omsg_OKey,V_K),c_Message_Oanalz(V_H),tc_Message_Omsg)
% 4.78/4.85 | ~ c_in(V_K,c_Message_OsymKeys,tc_nat)
% 4.78/4.85 | ~ c_in(c_Message_Omsg_OCrypt(V_K,V_X),c_Message_Oanalz(V_H),tc_Message_Omsg) ) ).
% 4.78/4.85
% 4.78/4.85 cnf(cls_synth__analz__insert__eq_1,axiom,
% 4.78/4.85 ( 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)
% 4.78/4.85 | ~ c_in(hAPP(c_Message_Omsg_OKey,V_K),c_Message_Oanalz(V_G),tc_Message_Omsg)
% 4.78/4.85 | ~ c_lessequals(V_H,V_G,tc_fun(tc_Message_Omsg,tc_bool))
% 4.78/4.85 | ~ c_in(V_X,c_Message_Osynth(c_Message_Oanalz(V_H)),tc_Message_Omsg) ) ).
% 4.78/4.85
% 4.78/4.85 cnf(cls_synth__analz__insert__eq_0,axiom,
% 4.78/4.85 ( c_in(hAPP(c_Message_Omsg_OKey,V_K),c_Message_Oanalz(V_G),tc_Message_Omsg)
% 4.78/4.85 | ~ 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)
% 4.78/4.85 | ~ c_lessequals(V_H,V_G,tc_fun(tc_Message_Omsg,tc_bool))
% 4.78/4.85 | ~ c_in(V_X,c_Message_Osynth(c_Message_Oanalz(V_H)),tc_Message_Omsg) ) ).
% 4.78/4.85
% 4.78/4.85 cnf(cls_analz__image__freshK__lemma_2,axiom,
% 4.78/4.85 ( 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)
% 4.78/4.85 | ~ c_in(V_K,V_nE,tc_nat)
% 4.78/4.85 | ~ c_in(V_K,V_nE,tc_nat) ) ).
% 4.78/4.85
% 4.78/4.85 cnf(cls_analz__image__freshK__lemma_0,axiom,
% 4.78/4.85 ( 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)
% 4.78/4.85 | ~ c_in(V_K,V_nE,tc_nat)
% 4.78/4.85 | 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) ) ).
% 4.78/4.85
% 4.78/4.85 cnf(cls_analz__image__freshK__lemma_4,axiom,
% 4.78/4.85 ( 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)
% 4.78/4.85 | ~ c_in(V_K,V_nE,tc_nat)
% 4.78/4.85 | ~ c_in(hAPP(c_Message_Omsg_OKey,V_K),c_Message_Oanalz(V_H),tc_Message_Omsg) ) ).
% 4.78/4.85
% 4.78/4.85 cnf(cls_analz__image__freshK__lemma_3,axiom,
% 4.78/4.85 ( 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)
% 4.78/4.85 | ~ c_in(hAPP(c_Message_Omsg_OKey,V_K),c_Message_Oanalz(V_H),tc_Message_Omsg)
% 4.78/4.85 | ~ c_in(V_K,V_nE,tc_nat) ) ).
% 4.78/4.85
% 4.78/4.85 cnf(cls_analz__mono__contra_I3_J_0,axiom,
% 4.78/4.85 ( ~ c_in(V_c,c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,V_evs)),tc_Message_Omsg)
% 4.78/4.85 | 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) ) ).
% 4.78/4.85
% 4.78/4.85 cnf(cls_Gets__imp__knows__agents_0,axiom,
% 4.78/4.85 ( c_in(V_X,c_Event_Oknows(V_A,V_evs),tc_Message_Omsg)
% 4.78/4.85 | ~ c_in(c_Event_Oevent_OGets(V_A,V_X),c_List_Oset(V_evs,tc_Event_Oevent),tc_Event_Oevent)
% 4.78/4.85 | V_A = c_Message_Oagent_OSpy ) ).
% 4.78/4.85
% 4.78/4.85 cnf(cls_shrK__notin__image__privateKey_0,axiom,
% 4.78/4.85 ~ 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) ).
% 4.78/4.85
% 4.78/4.85 cnf(cls_privateKey__image__eq_2,axiom,
% 4.78/4.85 ( 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)
% 4.78/4.85 | ~ c_in(V_A,V_AS,tc_Message_Oagent) ) ).
% 4.78/4.85
% 4.78/4.85 cnf(cls_privateKey__image__eq_1,axiom,
% 4.78/4.85 ( c_in(V_A,V_AS,tc_Message_Oagent)
% 4.78/4.85 | ~ 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) ) ).
% 4.78/4.85
% 4.78/4.85 cnf(cls_ns__sharedp_ONS5_0,axiom,
% 4.78/4.85 ( 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))
% 4.78/4.85 | ~ 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)
% 4.78/4.85 | ~ 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)
% 4.78/4.85 | ~ c_in(V_K,c_Message_OsymKeys,tc_nat)
% 4.78/4.85 | ~ c_NS__Shared__Mirabelle_Ons__sharedp(V_evs5) ) ).
% 4.78/4.85
% 4.78/4.85 cnf(cls_lemma1_0,axiom,
% 4.78/4.85 ( 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))
% 4.78/4.85 | ~ c_in(hAPP(c_Message_Omsg_OKey,hAPP(c_Message_OinvKey,V_K)),c_Message_Oanalz(V_H),tc_Message_Omsg) ) ).
% 4.78/4.85
% 4.78/4.85 cnf(cls_lemma2_0,axiom,
% 4.78/4.85 ( 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))
% 4.78/4.85 | ~ c_in(hAPP(c_Message_Omsg_OKey,hAPP(c_Message_OinvKey,V_K)),c_Message_Oanalz(V_H),tc_Message_Omsg) ) ).
% 4.78/4.85
% 4.78/4.85 cnf(cls_spies__Says__rev_0,axiom,
% 4.78/4.85 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) ).
% 4.78/4.85
% 4.78/4.85 cnf(cls_ns__sharedp_ONS4_0,axiom,
% 4.78/4.85 ( 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))
% 4.78/4.85 | ~ 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)
% 4.78/4.85 | ~ c_in(V_K,c_Message_OsymKeys,tc_nat)
% 4.78/4.85 | c_in(c_Message_Omsg_ONonce(V_NB),c_Event_Oused(V_evs4),tc_Message_Omsg)
% 4.78/4.85 | ~ c_NS__Shared__Mirabelle_Ons__sharedp(V_evs4) ) ).
% 4.78/4.85
% 4.78/4.85 cnf(cls_ns__sharedp_OFake_0,axiom,
% 4.78/4.85 ( 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))
% 4.78/4.85 | ~ c_in(V_X,c_Message_Osynth(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,V_evsf))),tc_Message_Omsg)
% 4.78/4.85 | ~ c_NS__Shared__Mirabelle_Ons__sharedp(V_evsf) ) ).
% 4.78/4.85
% 4.78/4.85 cnf(cls_ns__sharedp_ONS2_0,axiom,
% 4.78/4.85 ( 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))
% 4.78/4.85 | ~ 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)
% 4.78/4.85 | ~ c_in(V_KAB,c_Message_OsymKeys,tc_nat)
% 4.78/4.85 | c_in(hAPP(c_Message_Omsg_OKey,V_KAB),c_Event_Oused(V_evs2),tc_Message_Omsg)
% 4.78/4.85 | ~ c_NS__Shared__Mirabelle_Ons__sharedp(V_evs2) ) ).
% 4.78/4.85
% 4.78/4.85 cnf(cls_spies__Notes__rev_1,axiom,
% 4.78/4.85 ( 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)
% 4.78/4.85 | c_in(V_A,c_Event_Obad,tc_Message_Oagent) ) ).
% 4.78/4.85
% 4.78/4.85 cnf(cls_ns__sharedp_ONS1_0,axiom,
% 4.78/4.85 ( 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))
% 4.78/4.85 | c_in(c_Message_Omsg_ONonce(V_NA),c_Event_Oused(V_evs1),tc_Message_Omsg)
% 4.78/4.85 | ~ c_NS__Shared__Mirabelle_Ons__sharedp(V_evs1) ) ).
% 4.78/4.85
% 4.78/4.85 cnf(cls_spies__Notes__rev_0,axiom,
% 4.78/4.85 ( 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)
% 4.78/4.85 | ~ c_in(V_A,c_Event_Obad,tc_Message_Oagent) ) ).
% 4.78/4.85
% 4.78/4.85 cnf(cls_ns__sharedp_ONS3_0,axiom,
% 4.78/4.85 ( 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))
% 4.78/4.85 | ~ 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)
% 4.78/4.85 | ~ 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)
% 4.78/4.85 | V_A = c_Message_Oagent_OServer
% 4.78/4.85 | ~ c_NS__Shared__Mirabelle_Ons__sharedp(V_evs3) ) ).
% 4.78/4.85
% 4.78/4.85 cnf(cls_ns__sharedp_OOops_0,axiom,
% 4.78/4.85 ( 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))
% 4.78/4.85 | ~ 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)
% 4.78/4.85 | ~ 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)
% 4.78/4.85 | ~ c_NS__Shared__Mirabelle_Ons__sharedp(V_evso) ) ).
% 4.78/4.85
% 4.78/4.85 cnf(cls_ns__shared_ONS5_0,axiom,
% 4.78/4.85 ( 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))
% 4.78/4.85 | ~ 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)
% 4.78/4.85 | ~ 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)
% 4.78/4.85 | ~ c_in(V_K,c_Message_OsymKeys,tc_nat)
% 4.78/4.85 | ~ c_in(V_evs5,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent)) ) ).
% 4.78/4.85
% 4.78/4.85 cnf(cls_ns__shared_ONS4_0,axiom,
% 4.78/4.85 ( 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))
% 4.78/4.85 | ~ 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)
% 4.78/4.85 | ~ c_in(V_K,c_Message_OsymKeys,tc_nat)
% 4.78/4.85 | c_in(c_Message_Omsg_ONonce(V_NB),c_Event_Oused(V_evs4),tc_Message_Omsg)
% 4.78/4.85 | ~ c_in(V_evs4,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent)) ) ).
% 4.78/4.85
% 4.78/4.85 cnf(cls_ns__shared_ONS2_0,axiom,
% 4.78/4.85 ( 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))
% 4.78/4.85 | ~ 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)
% 4.78/4.85 | ~ c_in(V_KAB,c_Message_OsymKeys,tc_nat)
% 4.78/4.85 | c_in(hAPP(c_Message_Omsg_OKey,V_KAB),c_Event_Oused(V_evs2),tc_Message_Omsg)
% 4.78/4.85 | ~ c_in(V_evs2,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent)) ) ).
% 4.78/4.85
% 4.78/4.85 cnf(cls_Says__imp__parts__knows__Spy_0,axiom,
% 4.78/4.85 ( c_in(V_X,c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,V_evs)),tc_Message_Omsg)
% 4.78/4.85 | ~ c_in(c_Event_Oevent_OSays(V_A,V_B,V_X),c_List_Oset(V_evs,tc_Event_Oevent),tc_Event_Oevent) ) ).
% 4.78/4.85
% 4.78/4.85 cnf(cls_Says__imp__analz__Spy_0,axiom,
% 4.78/4.85 ( c_in(V_X,c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,V_evs)),tc_Message_Omsg)
% 4.78/4.85 | ~ c_in(c_Event_Oevent_OSays(V_A,V_B,V_X),c_List_Oset(V_evs,tc_Event_Oevent),tc_Event_Oevent) ) ).
% 4.78/4.85
% 4.78/4.85 cnf(cls_knows__Spy__Notes_0,axiom,
% 4.78/4.85 ( 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)
% 4.78/4.85 | ~ c_in(V_A,c_Event_Obad,tc_Message_Oagent) ) ).
% 4.78/4.85
% 4.78/4.85 cnf(cls_ns__shared_ONS1_0,axiom,
% 4.78/4.85 ( 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))
% 4.78/4.85 | c_in(c_Message_Omsg_ONonce(V_NA),c_Event_Oused(V_evs1),tc_Message_Omsg)
% 4.78/4.85 | ~ c_in(V_evs1,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent)) ) ).
% 4.78/4.85
% 4.78/4.85 cnf(cls_ns__shared_OOops_0,axiom,
% 4.78/4.85 ( 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))
% 4.78/4.85 | ~ 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)
% 4.78/4.85 | ~ 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)
% 4.78/4.85 | ~ c_in(V_evso,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent)) ) ).
% 4.78/4.85
% 4.78/4.85 cnf(cls_ns__shared_ONS3_0,axiom,
% 4.78/4.85 ( 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))
% 4.78/4.85 | ~ 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)
% 4.78/4.85 | ~ 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)
% 4.78/4.85 | V_A = c_Message_Oagent_OServer
% 4.78/4.85 | ~ c_in(V_evs3,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent)) ) ).
% 4.78/4.85
% 4.78/4.85 cnf(cls_Oops__parts__spies_0,axiom,
% 4.78/4.85 ( c_in(V_K,c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,V_evs)),tc_Message_Omsg)
% 4.78/4.85 | ~ 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) ) ).
% 4.78/4.85
% 4.78/4.85 cnf(cls_Notes__imp__knows__Spy_0,axiom,
% 4.78/4.85 ( c_in(V_X,c_Event_Oknows(c_Message_Oagent_OSpy,V_evs),tc_Message_Omsg)
% 4.78/4.85 | ~ c_in(V_A,c_Event_Obad,tc_Message_Oagent)
% 4.78/4.85 | ~ c_in(c_Event_Oevent_ONotes(V_A,V_X),c_List_Oset(V_evs,tc_Event_Oevent),tc_Event_Oevent) ) ).
% 4.78/4.85
% 4.78/4.85 cnf(cls_Says__Server__message__form_2,axiom,
% 4.78/4.85 ( V_K_H = hAPP(c_Public_OshrK,V_A)
% 4.78/4.85 | ~ c_in(V_evs,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))
% 4.78/4.85 | ~ 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) ) ).
% 4.78/4.85
% 4.78/4.85 cnf(cls_unique__session__keys_0,axiom,
% 4.78/4.85 ( V_A = V_A_H
% 4.78/4.85 | ~ c_in(V_evs,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))
% 4.78/4.85 | ~ 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)
% 4.78/4.85 | ~ 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) ) ).
% 4.78/4.85
% 4.78/4.85 cnf(cls_unique__session__keys_1,axiom,
% 4.78/4.85 ( V_NA = V_NA_H
% 4.78/4.85 | ~ c_in(V_evs,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))
% 4.78/4.85 | ~ 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)
% 4.78/4.85 | ~ 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) ) ).
% 4.78/4.85
% 4.78/4.85 cnf(cls_unique__session__keys_2,axiom,
% 4.78/4.85 ( V_B = V_B_H
% 4.78/4.85 | ~ c_in(V_evs,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))
% 4.78/4.85 | ~ 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)
% 4.78/4.85 | ~ 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) ) ).
% 4.78/4.85
% 4.78/4.85 cnf(cls_unique__session__keys_3,axiom,
% 4.78/4.85 ( V_X = V_X_H
% 4.78/4.85 | ~ c_in(V_evs,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))
% 4.78/4.85 | ~ 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)
% 4.78/4.85 | ~ 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) ) ).
% 4.78/4.85
% 4.78/4.85 cnf(cls_Says__Server__message__form_1,axiom,
% 4.78/4.85 ( 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)))
% 4.78/4.85 | ~ c_in(V_evs,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))
% 4.78/4.85 | ~ 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) ) ).
% 4.78/4.85
% 4.78/4.85 cnf(cls_MPair__used_1,axiom,
% 4.78/4.85 ( c_in(V_Y,c_Event_Oused(V_H),tc_Message_Omsg)
% 4.78/4.85 | ~ c_in(c_Message_Omsg_OMPair(V_X,V_Y),c_Event_Oused(V_H),tc_Message_Omsg) ) ).
% 4.78/4.85
% 4.78/4.85 cnf(cls_MPair__used_0,axiom,
% 4.78/4.85 ( c_in(V_X,c_Event_Oused(V_H),tc_Message_Omsg)
% 4.78/4.85 | ~ c_in(c_Message_Omsg_OMPair(V_X,V_Y),c_Event_Oused(V_H),tc_Message_Omsg) ) ).
% 4.78/4.85
% 4.78/4.85 cnf(cls_synth_OMPair_0,axiom,
% 4.78/4.85 ( c_in(c_Message_Omsg_OMPair(V_X,V_Y),c_Message_Osynth(V_H),tc_Message_Omsg)
% 4.78/4.85 | ~ c_in(V_Y,c_Message_Osynth(V_H),tc_Message_Omsg)
% 4.78/4.85 | ~ c_in(V_X,c_Message_Osynth(V_H),tc_Message_Omsg) ) ).
% 4.78/4.85
% 4.78/4.85 cnf(cls_MPair__synth_1,axiom,
% 4.78/4.85 ( c_in(V_Y,c_Message_Osynth(V_H),tc_Message_Omsg)
% 4.78/4.85 | c_in(c_Message_Omsg_OMPair(V_X,V_Y),V_H,tc_Message_Omsg)
% 4.78/4.85 | ~ c_in(c_Message_Omsg_OMPair(V_X,V_Y),c_Message_Osynth(V_H),tc_Message_Omsg) ) ).
% 4.78/4.85
% 4.78/4.85 cnf(cls_MPair__synth_0,axiom,
% 4.78/4.85 ( c_in(V_X,c_Message_Osynth(V_H),tc_Message_Omsg)
% 4.78/4.85 | c_in(c_Message_Omsg_OMPair(V_X,V_Y),V_H,tc_Message_Omsg)
% 4.78/4.85 | ~ c_in(c_Message_Omsg_OMPair(V_X,V_Y),c_Message_Osynth(V_H),tc_Message_Omsg) ) ).
% 4.78/4.85
% 4.78/4.85 cnf(cls_parts__insertI_0,axiom,
% 4.78/4.85 ( c_in(V_c,c_Message_Oparts(c_Set_Oinsert(V_a,V_G,tc_Message_Omsg)),tc_Message_Omsg)
% 4.78/4.85 | ~ c_in(V_c,c_Message_Oparts(V_G),tc_Message_Omsg) ) ).
% 4.78/4.85
% 4.78/4.85 cnf(cls_parts__cut__eq_0,axiom,
% 4.78/4.85 ( c_Message_Oparts(c_Set_Oinsert(V_X,V_H,tc_Message_Omsg)) = c_Message_Oparts(V_H)
% 4.78/4.85 | ~ c_in(V_X,c_Message_Oparts(V_H),tc_Message_Omsg) ) ).
% 4.78/4.85
% 4.78/4.85 cnf(cls_parts__insert__MPair_0,axiom,
% 4.78/4.85 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) ).
% 4.78/4.85
% 4.78/4.85 cnf(cls_Crypt__synth_0,axiom,
% 4.78/4.85 ( c_in(V_X,c_Message_Osynth(V_H),tc_Message_Omsg)
% 4.78/4.85 | c_in(c_Message_Omsg_OCrypt(V_K,V_X),V_H,tc_Message_Omsg)
% 4.78/4.85 | ~ c_in(c_Message_Omsg_OCrypt(V_K,V_X),c_Message_Osynth(V_H),tc_Message_Omsg) ) ).
% 4.78/4.85
% 4.78/4.85 cnf(cls_pushes_I12_J_0,axiom,
% 4.78/4.85 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) ).
% 4.78/4.85
% 4.78/4.85 cnf(cls_Key__synth__eq_1,axiom,
% 4.78/4.85 ( c_in(hAPP(c_Message_Omsg_OKey,V_K),c_Message_Osynth(V_H),tc_Message_Omsg)
% 4.78/4.85 | ~ c_in(hAPP(c_Message_Omsg_OKey,V_K),V_H,tc_Message_Omsg) ) ).
% 4.78/4.85
% 4.78/4.85 cnf(cls_Key__synth_0,axiom,
% 4.78/4.85 ( c_in(hAPP(c_Message_Omsg_OKey,V_K),V_H,tc_Message_Omsg)
% 4.78/4.85 | ~ c_in(hAPP(c_Message_Omsg_OKey,V_K),c_Message_Osynth(V_H),tc_Message_Omsg) ) ).
% 4.78/4.85
% 4.78/4.85 cnf(cls_analz__cut_0,axiom,
% 4.78/4.85 ( c_in(V_Y,c_Message_Oanalz(V_H),tc_Message_Omsg)
% 4.78/4.85 | ~ c_in(V_X,c_Message_Oanalz(V_H),tc_Message_Omsg)
% 4.78/4.85 | ~ c_in(V_Y,c_Message_Oanalz(c_Set_Oinsert(V_X,V_H,tc_Message_Omsg)),tc_Message_Omsg) ) ).
% 4.78/4.85
% 4.78/4.85 cnf(cls_analz__insert__eq_0,axiom,
% 4.78/4.85 ( c_Message_Oanalz(c_Set_Oinsert(V_X,V_H,tc_Message_Omsg)) = c_Message_Oanalz(V_H)
% 4.78/4.85 | ~ c_in(V_X,c_Message_Oanalz(V_H),tc_Message_Omsg) ) ).
% 4.78/4.85
% 4.78/4.85 cnf(cls_analz__insertI_0,axiom,
% 4.78/4.85 ( c_in(V_c,c_Message_Oanalz(c_Set_Oinsert(V_a,V_G,tc_Message_Omsg)),tc_Message_Omsg)
% 4.78/4.85 | ~ c_in(V_c,c_Message_Oanalz(V_G),tc_Message_Omsg) ) ).
% 4.78/4.85
% 4.78/4.85 cnf(cls_pushes_I5_J_0,axiom,
% 4.78/4.85 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) ).
% 4.78/4.85
% 4.78/4.85 cnf(cls_parts__insert__Crypt_0,axiom,
% 4.78/4.85 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) ).
% 4.78/4.85
% 4.78/4.85 cnf(cls_analz__insert__MPair_0,axiom,
% 4.78/4.85 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) ).
% 4.78/4.85
% 4.78/4.85 cnf(cls_analz__Crypt__if_0,axiom,
% 4.78/4.85 ( 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)
% 4.78/4.85 | ~ c_in(hAPP(c_Message_Omsg_OKey,hAPP(c_Message_OinvKey,V_K)),c_Message_Oanalz(V_H),tc_Message_Omsg) ) ).
% 4.78/4.85
% 4.78/4.85 cnf(cls_analz__Crypt__if_1,axiom,
% 4.78/4.85 ( 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)
% 4.78/4.85 | c_in(hAPP(c_Message_Omsg_OKey,hAPP(c_Message_OinvKey,V_K)),c_Message_Oanalz(V_H),tc_Message_Omsg) ) ).
% 4.78/4.85
% 4.78/4.85 cnf(cls_Crypt__synth__analz_1,axiom,
% 4.78/4.85 ( c_in(c_Message_Omsg_OCrypt(V_K,V_X),c_Message_Osynth(c_Message_Oanalz(V_H)),tc_Message_Omsg)
% 4.78/4.85 | ~ c_in(V_X,c_Message_Osynth(c_Message_Oanalz(V_H)),tc_Message_Omsg)
% 4.78/4.85 | ~ c_in(hAPP(c_Message_Omsg_OKey,hAPP(c_Message_OinvKey,V_K)),c_Message_Oanalz(V_H),tc_Message_Omsg)
% 4.78/4.85 | ~ c_in(hAPP(c_Message_Omsg_OKey,V_K),c_Message_Oanalz(V_H),tc_Message_Omsg) ) ).
% 4.78/4.85
% 4.78/4.85 cnf(cls_Crypt__synth__analz_0,axiom,
% 4.78/4.85 ( c_in(V_X,c_Message_Osynth(c_Message_Oanalz(V_H)),tc_Message_Omsg)
% 4.78/4.85 | ~ c_in(c_Message_Omsg_OCrypt(V_K,V_X),c_Message_Osynth(c_Message_Oanalz(V_H)),tc_Message_Omsg)
% 4.78/4.85 | ~ c_in(hAPP(c_Message_Omsg_OKey,hAPP(c_Message_OinvKey,V_K)),c_Message_Oanalz(V_H),tc_Message_Omsg)
% 4.78/4.85 | ~ c_in(hAPP(c_Message_Omsg_OKey,V_K),c_Message_Oanalz(V_H),tc_Message_Omsg) ) ).
% 4.78/4.85
% 4.78/4.85 cnf(cls_parts__insert__Key_0,axiom,
% 4.78/4.85 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) ).
% 4.78/4.85
% 4.78/4.85 cnf(cls_parts__image__Key_0,axiom,
% 4.78/4.85 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) ).
% 4.78/4.85
% 4.78/4.85 cnf(cls_synth_OAgent_0,axiom,
% 4.78/4.85 c_in(c_Message_Omsg_OAgent(V_agt),c_Message_Osynth(V_H),tc_Message_Omsg) ).
% 4.78/4.85
% 4.78/4.85 cnf(cls_Agent__synth_0,axiom,
% 4.78/4.85 c_in(c_Message_Omsg_OAgent(V_A),c_Message_Osynth(V_H),tc_Message_Omsg) ).
% 4.78/4.85
% 4.78/4.85 cnf(cls_NS3__msg__in__parts__spies_0,axiom,
% 4.78/4.85 ( c_in(V_X,c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,V_evs)),tc_Message_Omsg)
% 4.78/4.85 | ~ 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) ) ).
% 4.78/4.85
% 4.78/4.85 cnf(cls_pushes_I6_J_0,axiom,
% 4.78/4.85 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) ).
% 4.78/4.85
% 4.78/4.85 cnf(cls_Nonce__synth__eq_1,axiom,
% 4.78/4.85 ( c_in(c_Message_Omsg_ONonce(V_N),c_Message_Osynth(V_H),tc_Message_Omsg)
% 4.78/4.85 | ~ c_in(c_Message_Omsg_ONonce(V_N),V_H,tc_Message_Omsg) ) ).
% 4.78/4.85
% 4.78/4.85 cnf(cls_Nonce__synth__eq_0,axiom,
% 4.78/4.85 ( c_in(c_Message_Omsg_ONonce(V_N),V_H,tc_Message_Omsg)
% 4.78/4.85 | ~ c_in(c_Message_Omsg_ONonce(V_N),c_Message_Osynth(V_H),tc_Message_Omsg) ) ).
% 4.78/4.85
% 4.78/4.85 cnf(cls_Nonce__synth_0,axiom,
% 4.78/4.85 ( c_in(c_Message_Omsg_ONonce(V_n),V_H,tc_Message_Omsg)
% 4.78/4.85 | ~ c_in(c_Message_Omsg_ONonce(V_n),c_Message_Osynth(V_H),tc_Message_Omsg) ) ).
% 4.78/4.85
% 4.78/4.85 cnf(cls_analz__image__Key_0,axiom,
% 4.78/4.85 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) ).
% 4.78/4.85
% 4.78/4.85 cnf(cls_parts__insert__Agent_0,axiom,
% 4.78/4.85 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) ).
% 4.78/4.85
% 4.78/4.85 cnf(cls_analz__mono__contra_I2_J_0,axiom,
% 4.78/4.85 ( ~ c_in(V_c,c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,V_evs)),tc_Message_Omsg)
% 4.78/4.85 | 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) ) ).
% 4.78/4.85
% 4.78/4.85 cnf(cls_analz__mono__contra_I1_J_0,axiom,
% 4.78/4.85 ( ~ c_in(V_c,c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,V_evs)),tc_Message_Omsg)
% 4.78/4.85 | 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) ) ).
% 4.78/4.85
% 4.78/4.85 cnf(cls_pushes_I8_J_0,axiom,
% 4.78/4.85 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) ).
% 4.78/4.85
% 4.78/4.85 cnf(cls_parts__insert__Nonce_0,axiom,
% 4.78/4.85 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) ).
% 4.78/4.85
% 4.78/4.85 cnf(cls_pushes_I9_J_0,axiom,
% 4.78/4.85 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) ).
% 4.78/4.85
% 4.78/4.85 cnf(cls_pushes_I1_J_0,axiom,
% 4.78/4.85 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) ).
% 4.78/4.85
% 4.78/4.85 cnf(cls_analz__insert__Agent_0,axiom,
% 4.78/4.85 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) ).
% 4.78/4.85
% 4.78/4.85 cnf(cls_pushes_I2_J_0,axiom,
% 4.78/4.85 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) ).
% 4.78/4.85
% 4.78/4.85 cnf(cls_shrK__image__eq_0,axiom,
% 4.78/4.85 ( c_in(V_x,V_AA,tc_Message_Oagent)
% 4.78/4.85 | ~ c_in(hAPP(c_Public_OshrK,V_x),c_Set_Oimage(c_Public_OshrK,V_AA,tc_Message_Oagent,tc_nat),tc_nat) ) ).
% 4.78/4.85
% 4.78/4.85 cnf(cls_shrK__image__eq_1,axiom,
% 4.78/4.85 ( c_in(hAPP(c_Public_OshrK,V_x),c_Set_Oimage(c_Public_OshrK,V_AA,tc_Message_Oagent,tc_nat),tc_nat)
% 4.78/4.85 | ~ c_in(V_x,V_AA,tc_Message_Oagent) ) ).
% 4.78/4.85
% 4.78/4.85 cnf(cls_invKey__shrK_0,axiom,
% 4.78/4.85 hAPP(c_Message_OinvKey,hAPP(c_Public_OshrK,V_A)) = hAPP(c_Public_OshrK,V_A) ).
% 4.78/4.85
% 4.78/4.85 cnf(cls_shrK__neq__pubK_0,axiom,
% 4.78/4.85 hAPP(c_Public_OpublicKey(V_b),V_C) != hAPP(c_Public_OshrK,V_A) ).
% 4.78/4.85
% 4.78/4.85 cnf(cls_pubK__neq__shrK_0,axiom,
% 4.78/4.85 hAPP(c_Public_OshrK,V_A) != hAPP(c_Public_OpublicKey(V_b),V_C) ).
% 4.78/4.85
% 4.78/4.85 cnf(cls_Says__Server__message__form_0,axiom,
% 4.78/4.85 ( ~ 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)
% 4.78/4.85 | ~ c_in(V_evs,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))
% 4.78/4.85 | ~ 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) ) ).
% 4.78/4.85
% 4.78/4.85 cnf(cls_agent_Osimps_I5_J_0,axiom,
% 4.78/4.85 c_Message_Oagent_OSpy != c_Message_Oagent_OServer ).
% 4.78/4.85
% 4.78/4.85 cnf(cls_agent_Osimps_I4_J_0,axiom,
% 4.78/4.85 c_Message_Oagent_OServer != c_Message_Oagent_OSpy ).
% 4.78/4.85
% 4.78/4.85 cnf(cls_Says__imp__spies_0,axiom,
% 4.78/4.85 ( c_in(V_X,c_Event_Oknows(c_Message_Oagent_OSpy,V_evs),tc_Message_Omsg)
% 4.78/4.85 | ~ c_in(c_Event_Oevent_OSays(V_A,V_B,V_X),c_List_Oset(V_evs,tc_Event_Oevent),tc_Event_Oevent) ) ).
% 4.78/4.85
% 4.78/4.85 cnf(cls_analz__insert__cong_0,axiom,
% 4.78/4.85 ( c_Message_Oanalz(V_H) != c_Message_Oanalz(V_H_H)
% 4.78/4.85 | 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)) ) ).
% 4.78/4.85
% 4.78/4.85 cnf(cls_Nonce__notin__used__empty_0,axiom,
% 4.78/4.85 ~ c_in(c_Message_Omsg_ONonce(V_N),c_Event_Oused(c_List_Olist_ONil(tc_Event_Oevent)),tc_Message_Omsg) ).
% 4.78/4.86
% 4.78/4.86 cnf(cls_Fake__analz__eq_0,axiom,
% 4.78/4.86 ( c_Message_Osynth(c_Message_Oanalz(c_Set_Oinsert(V_X,V_H,tc_Message_Omsg))) = c_Message_Osynth(c_Message_Oanalz(V_H))
% 4.78/4.86 | ~ c_in(V_X,c_Message_Osynth(c_Message_Oanalz(V_H)),tc_Message_Omsg) ) ).
% 4.78/4.86
% 4.78/4.86 cnf(cls_publicKey__in__initState_0,axiom,
% 4.78/4.86 c_in(hAPP(c_Message_Omsg_OKey,hAPP(c_Public_OpublicKey(V_b),V_A)),c_Event_OinitState(V_B),tc_Message_Omsg) ).
% 4.78/4.86
% 4.78/4.86 cnf(cls_Key__image__eq_0,axiom,
% 4.78/4.86 ( c_in(V_x,V_A,tc_nat)
% 4.78/4.86 | ~ 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) ) ).
% 4.78/4.86
% 4.78/4.86 cnf(cls_Key__image__eq_1,axiom,
% 4.78/4.86 ( 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)
% 4.78/4.86 | ~ c_in(V_x,V_A,tc_nat) ) ).
% 4.78/4.86
% 4.78/4.86 cnf(cls_publicKey__into__used_0,axiom,
% 4.78/4.86 c_in(hAPP(c_Message_Omsg_OKey,hAPP(c_Public_OpublicKey(V_b),V_A)),c_Event_Oused(V_evs),tc_Message_Omsg) ).
% 4.78/4.86
% 4.78/4.86 cnf(cls_Crypt__notin__used__empty_0,axiom,
% 4.78/4.86 ~ c_in(c_Message_Omsg_OCrypt(V_K,V_X),c_Event_Oused(c_List_Olist_ONil(tc_Event_Oevent)),tc_Message_Omsg) ).
% 4.78/4.86
% 4.78/4.86 cnf(cls_initState__into__used_0,axiom,
% 4.78/4.86 ( c_in(V_X,c_Event_Oused(V_evs),tc_Message_Omsg)
% 4.78/4.86 | ~ c_in(V_X,c_Message_Oparts(c_Event_OinitState(V_B)),tc_Message_Omsg) ) ).
% 4.78/4.86
% 4.78/4.86 cnf(cls_synth__synthD_0,axiom,
% 4.78/4.86 ( c_in(V_X,c_Message_Osynth(V_H),tc_Message_Omsg)
% 4.78/4.86 | ~ c_in(V_X,c_Message_Osynth(c_Message_Osynth(V_H)),tc_Message_Omsg) ) ).
% 4.78/4.86
% 4.78/4.86 cnf(cls_synth_OInj_0,axiom,
% 4.78/4.86 ( c_in(V_X,c_Message_Osynth(V_H),tc_Message_Omsg)
% 4.78/4.86 | ~ c_in(V_X,V_H,tc_Message_Omsg) ) ).
% 4.78/4.86
% 4.78/4.86 cnf(cls_imageI_0,axiom,
% 4.78/4.86 ( c_in(hAPP(V_f,V_x),c_Set_Oimage(V_f,V_A,T_a,T_b),T_b)
% 4.78/4.86 | ~ c_in(V_x,V_A,T_a) ) ).
% 4.78/4.86
% 4.78/4.86 cnf(cls_image__eqI_0,axiom,
% 4.78/4.86 ( c_in(hAPP(V_f,V_x),c_Set_Oimage(V_f,V_A,T_b,T_a),T_a)
% 4.78/4.86 | ~ c_in(V_x,V_A,T_b) ) ).
% 4.78/4.86
% 4.78/4.86 cnf(cls_image__iff_2,axiom,
% 4.78/4.86 ( ~ c_in(V_x,V_A,T_b)
% 4.78/4.86 | c_in(hAPP(V_f,V_x),c_Set_Oimage(V_f,V_A,T_b,T_a),T_a) ) ).
% 4.78/4.86
% 4.78/4.86 cnf(cls_rev__image__eqI_0,axiom,
% 4.78/4.86 ( ~ c_in(V_x,V_A,T_aa)
% 4.78/4.86 | c_in(hAPP(V_f,V_x),c_Set_Oimage(V_f,V_A,T_aa,T_a),T_a) ) ).
% 4.78/4.86
% 4.78/4.86 cnf(cls_insert__absorb_0,axiom,
% 4.78/4.86 ( c_Set_Oinsert(V_a,V_A,T_a) = V_A
% 4.78/4.86 | ~ c_in(V_a,V_A,T_a) ) ).
% 4.78/4.86
% 4.78/4.86 cnf(cls_insert__ident_0,axiom,
% 4.78/4.86 ( c_Set_Oinsert(V_x,V_A,T_a) != c_Set_Oinsert(V_x,V_B,T_a)
% 4.78/4.86 | c_in(V_x,V_B,T_a)
% 4.78/4.86 | c_in(V_x,V_A,T_a)
% 4.78/4.86 | V_A = V_B ) ).
% 4.78/4.86
% 4.78/4.86 cnf(cls_insertCI_1,axiom,
% 4.78/4.86 c_in(V_x,c_Set_Oinsert(V_x,V_B,T_a),T_a) ).
% 4.78/4.86
% 4.78/4.86 cnf(cls_insertI1_0,axiom,
% 4.78/4.86 c_in(V_a,c_Set_Oinsert(V_a,V_B,T_a),T_a) ).
% 4.78/4.86
% 4.78/4.86 cnf(cls_insert__iff_1,axiom,
% 4.78/4.86 c_in(V_x,c_Set_Oinsert(V_x,V_A,T_a),T_a) ).
% 4.78/4.86
% 4.78/4.86 cnf(cls_UNIV__I_0,axiom,
% 4.78/4.86 c_in(V_x,c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_bool)),T_a) ).
% 4.78/4.86
% 4.78/4.86 cnf(cls_insertE_0,axiom,
% 4.78/4.86 ( c_in(V_a,V_A,T_a)
% 4.78/4.86 | V_a = V_b
% 4.78/4.86 | ~ c_in(V_a,c_Set_Oinsert(V_b,V_A,T_a),T_a) ) ).
% 4.78/4.86
% 4.78/4.86 cnf(cls_insertCI_0,axiom,
% 4.78/4.86 ( c_in(V_a,c_Set_Oinsert(V_b,V_B,T_a),T_a)
% 4.78/4.86 | ~ c_in(V_a,V_B,T_a) ) ).
% 4.78/4.86
% 4.78/4.86 cnf(cls_insert__iff_2,axiom,
% 4.78/4.86 ( c_in(V_a,c_Set_Oinsert(V_b,V_A,T_a),T_a)
% 4.78/4.86 | ~ c_in(V_a,V_A,T_a) ) ).
% 4.78/4.86
% 4.78/4.86 cnf(cls_Key__not__used_0,axiom,
% 4.78/4.86 ( ~ 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)
% 4.78/4.86 | c_in(hAPP(c_Message_Omsg_OKey,V_K),c_Event_Oused(V_evs),tc_Message_Omsg) ) ).
% 4.78/4.86
% 4.78/4.86 cnf(cls_privateKey__into__used_0,axiom,
% 4.78/4.86 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) ).
% 4.78/4.86
% 4.78/4.86 cnf(cls_shrK__notin__image__publicKey_0,axiom,
% 4.78/4.86 ~ 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) ).
% 4.78/4.86
% 4.78/4.86 cnf(cls_rev__is__Nil__conv_1,axiom,
% 4.78/4.86 c_List_Orev(c_List_Olist_ONil(T_a),T_a) = c_List_Olist_ONil(T_a) ).
% 4.78/4.86
% 4.78/4.86 cnf(cls_analz__image__freshK__simps_I56_J_0,axiom,
% 4.78/4.86 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) ).
% 4.78/4.86
% 4.78/4.86 cnf(cls_event_Osimps_I7_J_0,axiom,
% 4.78/4.86 c_Event_Oevent_ONotes(V_agent_H,V_msg_H) != c_Event_Oevent_OSays(V_agent1,V_agent2,V_msg) ).
% 4.78/4.86
% 4.78/4.86 cnf(cls_singleton__rev__conv_1,axiom,
% 4.78/4.86 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) ).
% 4.78/4.86
% 4.78/4.86 cnf(cls_not__Cons__self_0,axiom,
% 4.78/4.86 V_xs != c_List_Olist_OCons(V_x,V_xs,T_a) ).
% 4.78/4.86
% 4.78/4.86 cnf(cls_not__Cons__self2_0,axiom,
% 4.78/4.86 c_List_Olist_OCons(V_x,V_t,T_a) != V_t ).
% 4.78/4.86
% 4.78/4.86 cnf(cls_rev__is__Nil__conv_0,axiom,
% 4.78/4.86 ( c_List_Orev(V_xs,T_a) != c_List_Olist_ONil(T_a)
% 4.78/4.86 | V_xs = c_List_Olist_ONil(T_a) ) ).
% 4.78/4.86
% 4.78/4.86 cnf(cls_synth__idem_0,axiom,
% 4.78/4.86 c_Message_Osynth(c_Message_Osynth(V_H)) = c_Message_Osynth(V_H) ).
% 4.78/4.86
% 4.78/4.86 cnf(cls_list_Osimps_I3_J_0,axiom,
% 4.78/4.86 c_List_Olist_OCons(V_a_H,V_list_H,T_a) != c_List_Olist_ONil(T_a) ).
% 4.78/4.86
% 4.78/4.86 cnf(cls_neq__Nil__conv_1,axiom,
% 4.78/4.86 c_List_Olist_OCons(V_x,V_xa,T_a) != c_List_Olist_ONil(T_a) ).
% 4.78/4.86
% 4.78/4.86 cnf(cls_insert__image_0,axiom,
% 4.78/4.86 ( 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)
% 4.78/4.86 | ~ c_in(V_x,V_A,T_a) ) ).
% 4.78/4.86
% 4.78/4.86 cnf(cls_insert__code_2,axiom,
% 4.78/4.86 ( hBOOL(hAPP(c_Set_Oinsert(V_y,V_A,T_a),V_x))
% 4.78/4.86 | ~ hBOOL(hAPP(V_A,V_x)) ) ).
% 4.78/4.86
% 4.78/4.86 cnf(cls_Notes__imp__knows_0,axiom,
% 4.78/4.86 ( c_in(V_X,c_Event_Oknows(V_A,V_evs),tc_Message_Omsg)
% 4.78/4.86 | ~ c_in(c_Event_Oevent_ONotes(V_A,V_X),c_List_Oset(V_evs,tc_Event_Oevent),tc_Event_Oevent) ) ).
% 4.78/4.86
% 4.78/4.86 cnf(cls_rev__singleton__conv_1,axiom,
% 4.78/4.86 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) ).
% 4.78/4.86
% 4.78/4.86 cnf(cls_set__ConsD_0,axiom,
% 4.78/4.86 ( c_in(V_y,c_List_Oset(V_xs,T_a),T_a)
% 4.78/4.86 | V_y = V_x
% 4.78/4.86 | ~ c_in(V_y,c_List_Oset(c_List_Olist_OCons(V_x,V_xs,T_a),T_a),T_a) ) ).
% 4.78/4.86
% 4.78/4.86 cnf(cls_priK__in__initState_0,axiom,
% 4.78/4.86 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) ).
% 4.78/4.86
% 4.78/4.86 cnf(cls_rangeI_0,axiom,
% 4.78/4.86 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) ).
% 4.78/4.86
% 4.78/4.86 cnf(cls_insert__commute_0,axiom,
% 4.78/4.86 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) ).
% 4.78/4.86
% 4.78/4.86 cnf(cls_publicKey__inject_0,axiom,
% 4.78/4.86 ( hAPP(c_Public_OpublicKey(V_b),V_A) != hAPP(c_Public_OpublicKey(V_c),V_A_H)
% 4.78/4.86 | V_b = V_c ) ).
% 4.78/4.86
% 4.78/4.86 cnf(cls_publicKey__inject_1,axiom,
% 4.78/4.86 ( hAPP(c_Public_OpublicKey(V_b),V_A) != hAPP(c_Public_OpublicKey(V_c),V_A_H)
% 4.78/4.86 | V_A = V_A_H ) ).
% 4.78/4.86
% 4.78/4.86 cnf(cls_publicKey__notin__image__shrK_0,axiom,
% 4.78/4.86 ~ 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) ).
% 4.78/4.86
% 4.78/4.86 cnf(cls_singleton__rev__conv_0,axiom,
% 4.78/4.86 ( c_List_Olist_OCons(V_x,c_List_Olist_ONil(T_a),T_a) != c_List_Orev(V_xs,T_a)
% 4.78/4.86 | V_xs = c_List_Olist_OCons(V_x,c_List_Olist_ONil(T_a),T_a) ) ).
% 4.78/4.86
% 4.78/4.86 cnf(cls_privateKey__neq__publicKey_0,axiom,
% 4.78/4.86 hAPP(c_Message_OinvKey,hAPP(c_Public_OpublicKey(V_b),V_A)) != hAPP(c_Public_OpublicKey(V_c),V_A_H) ).
% 4.78/4.86
% 4.78/4.86 cnf(cls_event_Osimps_I6_J_0,axiom,
% 4.78/4.86 c_Event_Oevent_OSays(V_agent1,V_agent2,V_msg) != c_Event_Oevent_ONotes(V_agent_H,V_msg_H) ).
% 4.78/4.86
% 4.78/4.86 cnf(cls_invKey__eq_0,axiom,
% 4.78/4.86 ( hAPP(c_Message_OinvKey,V_K) != hAPP(c_Message_OinvKey,V_K_H)
% 4.78/4.86 | V_K = V_K_H ) ).
% 4.78/4.86
% 4.78/4.86 cnf(cls_publicKey__image__eq_0,axiom,
% 4.78/4.86 ( V_b = V_c
% 4.78/4.86 | ~ 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) ) ).
% 4.78/4.86
% 4.78/4.86 cnf(cls_publicKey__image__eq_1,axiom,
% 4.78/4.86 ( c_in(V_x,V_AA,tc_Message_Oagent)
% 4.78/4.86 | ~ 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) ) ).
% 4.78/4.86
% 4.78/4.86 cnf(cls_publicKey__image__eq_2,axiom,
% 4.78/4.86 ( 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)
% 4.78/4.86 | ~ c_in(V_xa,V_AA,tc_Message_Oagent) ) ).
% 4.78/4.86
% 4.78/4.86 cnf(cls_synth__cut_0,axiom,
% 4.78/4.86 ( c_in(V_Y,c_Message_Osynth(V_H),tc_Message_Omsg)
% 4.78/4.86 | ~ c_in(V_X,c_Message_Osynth(V_H),tc_Message_Omsg)
% 4.78/4.86 | ~ c_in(V_Y,c_Message_Osynth(c_Set_Oinsert(V_X,V_H,tc_Message_Omsg)),tc_Message_Omsg) ) ).
% 4.78/4.86
% 4.78/4.86 cnf(cls_Says__imp__used_0,axiom,
% 4.78/4.86 ( c_in(V_X,c_Event_Oused(V_evs),tc_Message_Omsg)
% 4.78/4.86 | ~ c_in(c_Event_Oevent_OSays(V_A,V_B,V_X),c_List_Oset(V_evs,tc_Event_Oevent),tc_Event_Oevent) ) ).
% 4.78/4.86
% 4.78/4.86 cnf(cls_privateKey__notin__image__publicKey_0,axiom,
% 4.78/4.86 ~ 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) ).
% 4.78/4.86
% 4.78/4.86 cnf(cls_rev__swap_0,axiom,
% 4.78/4.86 V_xs = c_List_Orev(c_List_Orev(V_xs,T_a),T_a) ).
% 4.78/4.86
% 4.78/4.86 cnf(cls_rev__swap_1,axiom,
% 4.78/4.86 c_List_Orev(c_List_Orev(V_ys,T_a),T_a) = V_ys ).
% 4.78/4.86
% 4.78/4.86 cnf(cls_rev__rev__ident_0,axiom,
% 4.78/4.86 c_List_Orev(c_List_Orev(V_xs,T_a),T_a) = V_xs ).
% 4.78/4.86
% 4.78/4.86 cnf(cls_insert__absorb2_0,axiom,
% 4.78/4.86 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) ).
% 4.78/4.86
% 4.78/4.86 cnf(cls_insert__code_0,axiom,
% 4.78/4.86 ( hBOOL(hAPP(V_A,V_x))
% 4.78/4.86 | V_y = V_x
% 4.78/4.86 | ~ hBOOL(hAPP(c_Set_Oinsert(V_y,V_A,T_a),V_x)) ) ).
% 4.78/4.86
% 4.78/4.86 cnf(cls_rev__singleton__conv_0,axiom,
% 4.78/4.86 ( c_List_Orev(V_xs,T_a) != c_List_Olist_OCons(V_x,c_List_Olist_ONil(T_a),T_a)
% 4.78/4.86 | V_xs = c_List_Olist_OCons(V_x,c_List_Olist_ONil(T_a),T_a) ) ).
% 4.78/4.86
% 4.78/4.86 cnf(cls_knows__Notes_0,axiom,
% 4.78/4.86 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) ).
% 4.78/4.86
% 4.78/4.86 cnf(cls_top1I_0,axiom,
% 4.78/4.86 hBOOL(hAPP(c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_bool)),V_x)) ).
% 4.78/4.86
% 4.78/4.86 cnf(cls_set__rev_0,axiom,
% 4.78/4.86 c_List_Oset(c_List_Orev(V_xs,T_a),T_a) = c_List_Oset(V_xs,T_a) ).
% 4.78/4.86
% 4.78/4.86 cnf(cls_privateKey__notin__image__shrK_0,axiom,
% 4.78/4.86 ~ 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) ).
% 4.78/4.86
% 4.78/4.86 cnf(cls_list_Osimps_I2_J_0,axiom,
% 4.78/4.86 c_List_Olist_ONil(T_a) != c_List_Olist_OCons(V_a_H,V_list_H,T_a) ).
% 4.78/4.86
% 4.78/4.86 cnf(cls_event_Osimps_I3_J_1,axiom,
% 4.78/4.86 ( c_Event_Oevent_ONotes(V_agent,V_msg) != c_Event_Oevent_ONotes(V_agent_H,V_msg_H)
% 4.78/4.86 | V_msg = V_msg_H ) ).
% 4.78/4.86
% 4.78/4.86 cnf(cls_event_Osimps_I3_J_0,axiom,
% 4.78/4.86 ( c_Event_Oevent_ONotes(V_agent,V_msg) != c_Event_Oevent_ONotes(V_agent_H,V_msg_H)
% 4.78/4.86 | V_agent = V_agent_H ) ).
% 4.78/4.86
% 4.78/4.86 cnf(cls_Notes__imp__used_0,axiom,
% 4.78/4.86 ( c_in(V_X,c_Event_Oused(V_evs),tc_Message_Omsg)
% 4.78/4.86 | ~ c_in(c_Event_Oevent_ONotes(V_A,V_X),c_List_Oset(V_evs,tc_Event_Oevent),tc_Event_Oevent) ) ).
% 4.78/4.86
% 4.78/4.86 cnf(cls_knows__Says_0,axiom,
% 4.78/4.86 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) ).
% 4.78/4.86
% 4.78/4.86 cnf(cls_rev__is__rev__conv_0,axiom,
% 4.78/4.86 ( c_List_Orev(V_xs,T_a) != c_List_Orev(V_ys,T_a)
% 4.78/4.86 | V_xs = V_ys ) ).
% 4.78/4.86
% 4.78/4.86 cnf(cls_image__insert_0,axiom,
% 4.78/4.86 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) ).
% 4.78/4.86
% 4.78/4.86 cnf(cls_Nil__is__rev__conv_0,axiom,
% 4.78/4.86 ( c_List_Olist_ONil(T_a) != c_List_Orev(V_xs,T_a)
% 4.78/4.86 | V_xs = c_List_Olist_ONil(T_a) ) ).
% 4.78/4.86
% 4.78/4.86 cnf(cls_insert__code_1,axiom,
% 4.78/4.86 hBOOL(hAPP(c_Set_Oinsert(V_x,V_A,T_a),V_x)) ).
% 4.78/4.86
% 4.78/4.86 cnf(cls_invKey_0,axiom,
% 4.78/4.86 hAPP(c_Message_OinvKey,hAPP(c_Message_OinvKey,V_K)) = V_K ).
% 4.78/4.86
% 4.78/4.86 cnf(cls_event_Osimps_I1_J_2,axiom,
% 4.78/4.86 ( c_Event_Oevent_OSays(V_agent1,V_agent2,V_msg) != c_Event_Oevent_OSays(V_agent1_H,V_agent2_H,V_msg_H)
% 4.78/4.86 | V_msg = V_msg_H ) ).
% 4.78/4.86
% 4.78/4.86 cnf(cls_event_Osimps_I1_J_1,axiom,
% 4.78/4.86 ( c_Event_Oevent_OSays(V_agent1,V_agent2,V_msg) != c_Event_Oevent_OSays(V_agent1_H,V_agent2_H,V_msg_H)
% 4.78/4.86 | V_agent2 = V_agent2_H ) ).
% 4.78/4.86
% 4.78/4.86 cnf(cls_event_Osimps_I1_J_0,axiom,
% 4.78/4.86 ( c_Event_Oevent_OSays(V_agent1,V_agent2,V_msg) != c_Event_Oevent_OSays(V_agent1_H,V_agent2_H,V_msg_H)
% 4.78/4.86 | V_agent1 = V_agent1_H ) ).
% 4.78/4.86
% 4.78/4.86 cnf(cls_knows__Spy__Says_0,axiom,
% 4.78/4.86 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) ).
% 4.78/4.86
% 4.78/4.86 cnf(cls_knows__Nil_0,axiom,
% 4.78/4.86 c_Event_Oknows(V_A,c_List_Olist_ONil(tc_Event_Oevent)) = c_Event_OinitState(V_A) ).
% 4.78/4.86
% 4.78/4.86 cnf(cls_list_Oinject_0,axiom,
% 4.78/4.86 ( c_List_Olist_OCons(V_a,V_list,T_a) != c_List_Olist_OCons(V_a_H,V_list_H,T_a)
% 4.78/4.86 | V_a = V_a_H ) ).
% 4.78/4.86
% 4.78/4.86 cnf(cls_list_Oinject_1,axiom,
% 4.78/4.86 ( c_List_Olist_OCons(V_a,V_list,T_a) != c_List_Olist_OCons(V_a_H,V_list_H,T_a)
% 4.78/4.86 | V_list = V_list_H ) ).
% 4.78/4.86
% 4.78/4.86 cnf(cls_priK__neq__shrK_0,axiom,
% 4.78/4.86 hAPP(c_Public_OshrK,V_A) != hAPP(c_Message_OinvKey,hAPP(c_Public_OpublicKey(V_b),V_C)) ).
% 4.78/4.86
% 4.78/4.86 cnf(cls_Nil__is__rev__conv_1,axiom,
% 4.78/4.86 c_List_Olist_ONil(T_a) = c_List_Orev(c_List_Olist_ONil(T_a),T_a) ).
% 4.78/4.86
% 4.78/4.86 cnf(cls_List_Oset_Osimps_I2_J_0,axiom,
% 4.78/4.86 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) ).
% 4.78/4.86
% 4.78/4.86 cnf(cls_Says__imp__knows_0,axiom,
% 4.78/4.86 ( c_in(V_X,c_Event_Oknows(V_A,V_evs),tc_Message_Omsg)
% 4.78/4.86 | ~ c_in(c_Event_Oevent_OSays(V_A,V_B,V_X),c_List_Oset(V_evs,tc_Event_Oevent),tc_Event_Oevent) ) ).
% 4.78/4.86
% 4.78/4.86 cnf(cls_shrK__neq__priK_0,axiom,
% 4.78/4.86 hAPP(c_Message_OinvKey,hAPP(c_Public_OpublicKey(V_b),V_C)) != hAPP(c_Public_OshrK,V_A) ).
% 4.78/4.86
% 4.78/4.86 cnf(cls_publicKey__neq__privateKey_0,axiom,
% 4.78/4.86 hAPP(c_Public_OpublicKey(V_c),V_A_H) != hAPP(c_Message_OinvKey,hAPP(c_Public_OpublicKey(V_b),V_A)) ).
% 4.78/4.86
% 4.78/4.86 cnf(cls_analz__insert__Nonce_0,axiom,
% 4.78/4.86 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) ).
% 4.78/4.86
% 4.78/4.86 cnf(cls_Says__S__message__form_0,axiom,
% 4.78/4.86 ( c_in(V_X,c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,V_evs)),tc_Message_Omsg)
% 4.78/4.86 | ~ 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)
% 4.78/4.86 | ~ c_in(V_evs,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))
% 4.78/4.86 | ~ 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) ) ).
% 4.78/4.86
% 4.78/4.86 cnf(cls_spies__evs__rev_0,axiom,
% 4.78/4.86 c_Event_Oknows(c_Message_Oagent_OSpy,V_evs) = c_Event_Oknows(c_Message_Oagent_OSpy,c_List_Orev(V_evs,tc_Event_Oevent)) ).
% 4.78/4.86
% 4.78/4.86 cnf(cls_analz__insert__freshK_2,axiom,
% 4.78/4.86 ( 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)
% 4.78/4.86 | ~ c_in(hAPP(c_Message_Omsg_OKey,V_K),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,V_evs)),tc_Message_Omsg)
% 4.78/4.86 | 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)
% 4.78/4.86 | ~ c_in(V_evs,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent)) ) ).
% 4.78/4.86
% 4.78/4.86 cnf(cls_analz__insert__freshK_0,axiom,
% 4.78/4.86 ( c_in(hAPP(c_Message_Omsg_OKey,V_K),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,V_evs)),tc_Message_Omsg)
% 4.78/4.86 | V_K = V_KAB
% 4.78/4.86 | ~ 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)
% 4.78/4.86 | 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)
% 4.78/4.86 | ~ c_in(V_evs,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent)) ) ).
% 4.78/4.86
% 4.78/4.86 cnf(cls_analz__insert__freshK_1,axiom,
% 4.78/4.86 ( 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)
% 4.78/4.86 | ~ c_in(V_evs,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))
% 4.78/4.86 | 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) ) ).
% 4.78/4.86
% 4.78/4.86 cnf(cls_Spy__not__see__encrypted__key_0,axiom,
% 4.78/4.86 ( ~ c_in(hAPP(c_Message_Omsg_OKey,V_K),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,V_evs)),tc_Message_Omsg)
% 4.78/4.86 | ~ c_in(V_evs,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))
% 4.78/4.86 | c_in(V_B,c_Event_Obad,tc_Message_Oagent)
% 4.78/4.86 | c_in(V_A,c_Event_Obad,tc_Message_Oagent)
% 4.78/4.86 | 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)
% 4.78/4.86 | ~ 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) ) ).
% 4.78/4.86
% 4.78/4.86 cnf(cls_ns__shared_OFake_0,axiom,
% 4.78/4.86 ( 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))
% 4.78/4.86 | ~ c_in(V_X,c_Message_Osynth(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,V_evsf))),tc_Message_Omsg)
% 4.78/4.86 | ~ c_in(V_evsf,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent)) ) ).
% 4.78/4.86
% 4.78/4.86 cnf(cls_knows__Spy__Notes_1,axiom,
% 4.78/4.86 ( 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)
% 4.78/4.86 | c_in(V_A,c_Event_Obad,tc_Message_Oagent) ) ).
% 4.78/4.86
% 4.78/4.86 cnf(cls_ns__shared_ONil_0,axiom,
% 4.78/4.86 c_in(c_List_Olist_ONil(tc_Event_Oevent),c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent)) ).
% 4.78/4.86
% 4.78/4.86 cnf(cls_Server__not__bad_0,axiom,
% 4.78/4.86 ~ c_in(c_Message_Oagent_OServer,c_Event_Obad,tc_Message_Oagent) ).
% 4.78/4.86
% 4.78/4.86 cnf(cls_secrecy__lemma_0,axiom,
% 4.78/4.86 ( ~ c_in(hAPP(c_Message_Omsg_OKey,V_K),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,V_evs)),tc_Message_Omsg)
% 4.78/4.86 | 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)
% 4.78/4.86 | ~ c_in(V_evs,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))
% 4.78/4.86 | c_in(V_B,c_Event_Obad,tc_Message_Oagent)
% 4.78/4.86 | c_in(V_A,c_Event_Obad,tc_Message_Oagent)
% 4.78/4.86 | ~ 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) ) ).
% 4.78/4.86
% 4.78/4.86 cnf(cls_B__trusts__NS5_0,axiom,
% 4.78/4.86 ( 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)
% 4.78/4.86 | ~ c_in(V_evs,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))
% 4.78/4.86 | c_in(V_B,c_Event_Obad,tc_Message_Oagent)
% 4.78/4.86 | c_in(V_A,c_Event_Obad,tc_Message_Oagent)
% 4.78/4.86 | 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)
% 4.78/4.86 | ~ 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)
% 4.78/4.86 | ~ 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) ) ).
% 4.78/4.86
% 4.78/4.86 cnf(cls_NS4__implies__NS3_0,axiom,
% 4.78/4.86 ( 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)
% 4.78/4.86 | ~ 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)
% 4.78/4.86 | ~ 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)
% 4.78/4.86 | c_in(hAPP(c_Message_Omsg_OKey,V_K),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,V_evs)),tc_Message_Omsg)
% 4.78/4.86 | ~ c_in(V_evs,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent)) ) ).
% 4.78/4.86
% 4.78/4.86 cnf(cls_B__trusts__NS3_0,axiom,
% 4.78/4.86 ( 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)
% 4.78/4.86 | ~ c_in(V_evs,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))
% 4.78/4.86 | c_in(V_B,c_Event_Obad,tc_Message_Oagent)
% 4.78/4.86 | ~ 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) ) ).
% 4.78/4.86
% 4.78/4.86 cnf(cls_A__trusts__NS4_0,axiom,
% 4.78/4.86 ( 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)
% 4.78/4.86 | ~ c_in(V_evs,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))
% 4.78/4.86 | c_in(V_B,c_Event_Obad,tc_Message_Oagent)
% 4.78/4.86 | c_in(V_A,c_Event_Obad,tc_Message_Oagent)
% 4.78/4.86 | 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)
% 4.78/4.86 | ~ 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)
% 4.78/4.86 | ~ 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) ) ).
% 4.78/4.86
% 4.78/4.86 cnf(cls_Crypt__notin__initState_0,axiom,
% 4.78/4.86 ~ c_in(c_Message_Omsg_OCrypt(V_K,V_X),c_Message_Oparts(c_Event_OinitState(V_B)),tc_Message_Omsg) ).
% 4.78/4.86
% 4.78/4.86 cnf(cls_MPair__synth__analz_1,axiom,
% 4.78/4.86 ( c_in(V_Y,c_Message_Osynth(c_Message_Oanalz(V_H)),tc_Message_Omsg)
% 4.78/4.86 | ~ c_in(c_Message_Omsg_OMPair(V_X,V_Y),c_Message_Osynth(c_Message_Oanalz(V_H)),tc_Message_Omsg) ) ).
% 4.78/4.86
% 4.78/4.86 cnf(cls_MPair__synth__analz_0,axiom,
% 4.78/4.86 ( c_in(V_X,c_Message_Osynth(c_Message_Oanalz(V_H)),tc_Message_Omsg)
% 4.78/4.86 | ~ c_in(c_Message_Omsg_OMPair(V_X,V_Y),c_Message_Osynth(c_Message_Oanalz(V_H)),tc_Message_Omsg) ) ).
% 4.78/4.86
% 4.78/4.86 cnf(cls_MPair__synth__analz_2,axiom,
% 4.78/4.86 ( c_in(c_Message_Omsg_OMPair(V_X,V_Y),c_Message_Osynth(c_Message_Oanalz(V_H)),tc_Message_Omsg)
% 4.78/4.86 | ~ c_in(V_Y,c_Message_Osynth(c_Message_Oanalz(V_H)),tc_Message_Omsg)
% 4.78/4.86 | ~ c_in(V_X,c_Message_Osynth(c_Message_Oanalz(V_H)),tc_Message_Omsg) ) ).
% 4.78/4.86
% 4.78/4.86 cnf(cls_Crypt__notin__image__Key_0,axiom,
% 4.78/4.86 ~ 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) ).
% 4.78/4.86
% 4.78/4.86 cnf(cls_Crypt__synth__eq_1,axiom,
% 4.78/4.86 ( c_in(c_Message_Omsg_OCrypt(V_K,V_X),c_Message_Osynth(V_H),tc_Message_Omsg)
% 4.78/4.86 | ~ c_in(c_Message_Omsg_OCrypt(V_K,V_X),V_H,tc_Message_Omsg)
% 4.78/4.86 | c_in(hAPP(c_Message_Omsg_OKey,V_K),V_H,tc_Message_Omsg) ) ).
% 4.78/4.86
% 4.78/4.86 cnf(cls_Crypt__synth__eq_0,axiom,
% 4.78/4.86 ( c_in(c_Message_Omsg_OCrypt(V_K,V_X),V_H,tc_Message_Omsg)
% 4.78/4.86 | ~ c_in(c_Message_Omsg_OCrypt(V_K,V_X),c_Message_Osynth(V_H),tc_Message_Omsg)
% 4.78/4.86 | c_in(hAPP(c_Message_Omsg_OKey,V_K),V_H,tc_Message_Omsg) ) ).
% 4.78/4.86
% 4.78/4.86 cnf(cls_Crypt__synth_1,axiom,
% 4.78/4.86 ( c_in(hAPP(c_Message_Omsg_OKey,V_K),V_H,tc_Message_Omsg)
% 4.78/4.86 | c_in(c_Message_Omsg_OCrypt(V_K,V_X),V_H,tc_Message_Omsg)
% 4.78/4.86 | ~ c_in(c_Message_Omsg_OCrypt(V_K,V_X),c_Message_Osynth(V_H),tc_Message_Omsg) ) ).
% 4.78/4.86
% 4.78/4.86 cnf(cls_synth_OCrypt_0,axiom,
% 4.78/4.86 ( c_in(c_Message_Omsg_OCrypt(V_K,V_X),c_Message_Osynth(V_H),tc_Message_Omsg)
% 4.78/4.86 | ~ c_in(hAPP(c_Message_Omsg_OKey,V_K),V_H,tc_Message_Omsg)
% 4.78/4.86 | ~ c_in(V_X,c_Message_Osynth(V_H),tc_Message_Omsg) ) ).
% 4.78/4.86
% 4.78/4.86 cnf(cls_Nonce__notin__initState_0,axiom,
% 4.78/4.86 ~ c_in(c_Message_Omsg_ONonce(V_N),c_Message_Oparts(c_Event_OinitState(V_B)),tc_Message_Omsg) ).
% 4.78/4.86
% 4.78/4.86 cnf(cls_Nonce__Key__image__eq_0,axiom,
% 4.78/4.86 ~ 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) ).
% 4.78/4.86
% 4.78/4.86 cnf(cls_shrK__in__initState_0,axiom,
% 4.78/4.86 c_in(hAPP(c_Message_Omsg_OKey,hAPP(c_Public_OshrK,V_A)),c_Event_OinitState(V_A),tc_Message_Omsg) ).
% 4.78/4.86
% 4.78/4.86 cnf(cls_shrK__in__used_0,axiom,
% 4.78/4.86 c_in(hAPP(c_Message_Omsg_OKey,hAPP(c_Public_OshrK,V_A)),c_Event_Oused(V_evs),tc_Message_Omsg) ).
% 4.78/4.86
% 4.78/4.86 cnf(cls_neq__shrK_0,axiom,
% 4.78/4.86 c_in(hAPP(c_Message_Omsg_OKey,hAPP(c_Public_OshrK,V_B)),c_Event_Oused(V_evs),tc_Message_Omsg) ).
% 4.78/4.86
% 4.78/4.86 cnf(cls_Spy__spies__bad__privateKey_0,axiom,
% 4.78/4.86 ( 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)
% 4.78/4.86 | ~ c_in(V_A,c_Event_Obad,tc_Message_Oagent) ) ).
% 4.78/4.86
% 4.78/4.86 cnf(cls_A__trusts__NS4__lemma_0,axiom,
% 4.78/4.86 ( 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)
% 4.78/4.86 | ~ 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)
% 4.78/4.86 | ~ 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)
% 4.78/4.86 | c_in(hAPP(c_Message_Omsg_OKey,V_K),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,V_evs)),tc_Message_Omsg)
% 4.78/4.86 | ~ c_in(V_evs,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent)) ) ).
% 4.78/4.86
% 4.78/4.86 cnf(cls_A__trusts__NS2_0,axiom,
% 4.78/4.86 ( 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)
% 4.78/4.86 | ~ c_in(V_evs,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))
% 4.78/4.86 | c_in(V_A,c_Event_Obad,tc_Message_Oagent)
% 4.78/4.86 | ~ 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) ) ).
% 4.78/4.86
% 4.78/4.86 cnf(cls_B__trusts__NS5__lemma_0,axiom,
% 4.78/4.86 ( 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)
% 4.78/4.86 | ~ 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)
% 4.78/4.86 | ~ 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)
% 4.78/4.86 | c_in(hAPP(c_Message_Omsg_OKey,V_K),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,V_evs)),tc_Message_Omsg)
% 4.78/4.86 | ~ c_in(V_evs,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))
% 4.78/4.86 | c_in(V_B,c_Event_Obad,tc_Message_Oagent) ) ).
% 4.78/4.86
% 4.78/4.86 cnf(cls_analz_ODecrypt_0,axiom,
% 4.78/4.86 ( c_in(V_X,c_Message_Oanalz(V_H),tc_Message_Omsg)
% 4.78/4.86 | ~ c_in(hAPP(c_Message_Omsg_OKey,hAPP(c_Message_OinvKey,V_K)),c_Message_Oanalz(V_H),tc_Message_Omsg)
% 4.78/4.86 | ~ c_in(c_Message_Omsg_OCrypt(V_K,V_X),c_Message_Oanalz(V_H),tc_Message_Omsg) ) ).
% 4.78/4.86
% 4.78/4.86 cnf(cls_usedI_0,axiom,
% 4.78/4.86 ( c_in(V_c,c_Event_Oused(V_evs),tc_Message_Omsg)
% 4.78/4.86 | ~ c_in(V_c,c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,V_evs)),tc_Message_Omsg) ) ).
% 4.78/4.86
% 4.78/4.86 cnf(cls_spies__pubK_0,axiom,
% 4.78/4.86 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) ).
% 4.78/4.86
% 4.78/4.86 cnf(cls_Says__S__message__form_1,axiom,
% 4.78/4.86 ( c_in(V_X,c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,V_evs)),tc_Message_Omsg)
% 4.78/4.86 | 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)))
% 4.78/4.86 | ~ c_in(V_evs,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))
% 4.78/4.86 | ~ 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) ) ).
% 4.78/4.86
% 4.78/4.86 cnf(cls_B__Issues__A_0,axiom,
% 4.78/4.86 ( c_NS__Shared__Mirabelle_OIssues(V_B,V_A,c_Message_Omsg_OCrypt(V_K,c_Message_Omsg_ONonce(V_Nb)),V_evs)
% 4.78/4.86 | ~ c_in(V_evs,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))
% 4.78/4.86 | c_in(V_B,c_Event_Obad,tc_Message_Oagent)
% 4.78/4.86 | c_in(V_A,c_Event_Obad,tc_Message_Oagent)
% 4.78/4.86 | c_in(hAPP(c_Message_Omsg_OKey,V_K),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,V_evs)),tc_Message_Omsg)
% 4.78/4.86 | ~ 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) ) ).
% 4.78/4.86
% 4.78/4.86 cnf(cls_cert__A__form_0,axiom,
% 4.78/4.86 ( ~ 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)
% 4.78/4.86 | ~ c_in(V_evs,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))
% 4.78/4.86 | c_in(V_A,c_Event_Obad,tc_Message_Oagent)
% 4.78/4.86 | ~ 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) ) ).
% 4.78/4.86
% 4.78/4.86 cnf(cls_A__Issues__B_0,axiom,
% 4.78/4.86 ( 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)
% 4.78/4.86 | ~ c_in(V_evs,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))
% 4.78/4.86 | c_in(V_B,c_Event_Obad,tc_Message_Oagent)
% 4.78/4.86 | c_in(V_A,c_Event_Obad,tc_Message_Oagent)
% 4.78/4.86 | c_in(hAPP(c_Message_Omsg_OKey,V_K),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,V_evs)),tc_Message_Omsg)
% 4.78/4.86 | ~ 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) ) ).
% 4.78/4.86
% 4.78/4.86 cnf(cls_analz__spies__pubK_0,axiom,
% 4.78/4.86 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) ).
% 4.78/4.86
% 4.78/4.86 cnf(cls_A__trusts__NS5_0,axiom,
% 4.78/4.86 ( 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)
% 4.78/4.86 | ~ c_in(V_evs,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))
% 4.78/4.86 | c_in(V_B,c_Event_Obad,tc_Message_Oagent)
% 4.78/4.86 | c_in(V_A,c_Event_Obad,tc_Message_Oagent)
% 4.78/4.86 | c_in(hAPP(c_Message_Omsg_OKey,V_K),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,V_evs)),tc_Message_Omsg)
% 4.78/4.86 | ~ 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)
% 4.78/4.86 | ~ 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) ) ).
% 4.78/4.86
% 4.78/4.86 cnf(cls_msg_Osimps_I1_J_0,axiom,
% 4.78/4.86 ( c_Message_Omsg_OAgent(V_agent) != c_Message_Omsg_OAgent(V_agent_H)
% 4.78/4.86 | V_agent = V_agent_H ) ).
% 4.78/4.86
% 4.78/4.86 cnf(cls_parts__analz_0,axiom,
% 4.78/4.86 c_Message_Oparts(c_Message_Oanalz(V_H)) = c_Message_Oparts(V_H) ).
% 4.78/4.86
% 4.78/4.86 cnf(cls_analz__idem_0,axiom,
% 4.78/4.86 c_Message_Oanalz(c_Message_Oanalz(V_H)) = c_Message_Oanalz(V_H) ).
% 4.78/4.86
% 4.78/4.86 cnf(cls_analz_OSnd_0,axiom,
% 4.78/4.86 ( c_in(V_Y,c_Message_Oanalz(V_H),tc_Message_Omsg)
% 4.78/4.86 | ~ c_in(c_Message_Omsg_OMPair(V_X,V_Y),c_Message_Oanalz(V_H),tc_Message_Omsg) ) ).
% 4.78/4.86
% 4.78/4.86 cnf(cls_analz_OFst_0,axiom,
% 4.78/4.86 ( c_in(V_X,c_Message_Oanalz(V_H),tc_Message_Omsg)
% 4.78/4.86 | ~ c_in(c_Message_Omsg_OMPair(V_X,V_Y),c_Message_Oanalz(V_H),tc_Message_Omsg) ) ).
% 4.78/4.86
% 4.78/4.86 cnf(cls_parts_OSnd_0,axiom,
% 4.78/4.86 ( c_in(V_Y,c_Message_Oparts(V_H),tc_Message_Omsg)
% 4.78/4.86 | ~ c_in(c_Message_Omsg_OMPair(V_X,V_Y),c_Message_Oparts(V_H),tc_Message_Omsg) ) ).
% 4.78/4.86
% 4.78/4.86 cnf(cls_parts_OFst_0,axiom,
% 4.78/4.86 ( c_in(V_X,c_Message_Oparts(V_H),tc_Message_Omsg)
% 4.78/4.86 | ~ c_in(c_Message_Omsg_OMPair(V_X,V_Y),c_Message_Oparts(V_H),tc_Message_Omsg) ) ).
% 4.78/4.86
% 4.78/4.86 cnf(cls_msg_Osimps_I37_J_0,axiom,
% 4.78/4.86 c_Message_Omsg_OCrypt(V_nat_H,V_msg_H) != c_Message_Omsg_ONonce(V_nat) ).
% 4.78/4.86
% 4.78/4.86 cnf(cls_msg_Osimps_I12_J_0,axiom,
% 4.78/4.86 c_Message_Omsg_OAgent(V_agent) != hAPP(c_Message_Omsg_OKey,V_nat_H) ).
% 4.78/4.86
% 4.78/4.86 cnf(cls_msg_Osimps_I31_J_0,axiom,
% 4.78/4.86 hAPP(c_Message_Omsg_OKey,V_nat_H) != c_Message_Omsg_ONonce(V_nat) ).
% 4.78/4.86
% 4.78/4.86 cnf(cls_A__authenticates__and__keydist__to__B_0,axiom,
% 4.78/4.86 ( c_NS__Shared__Mirabelle_OIssues(V_B,V_A,c_Message_Omsg_OCrypt(V_K,c_Message_Omsg_ONonce(V_NB)),V_evs)
% 4.78/4.86 | ~ c_in(V_evs,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))
% 4.78/4.86 | c_in(V_B,c_Event_Obad,tc_Message_Oagent)
% 4.78/4.86 | c_in(V_A,c_Event_Obad,tc_Message_Oagent)
% 4.78/4.86 | c_in(hAPP(c_Message_Omsg_OKey,V_K),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,V_evs)),tc_Message_Omsg)
% 4.78/4.86 | ~ 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)
% 4.78/4.86 | ~ 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) ) ).
% 4.78/4.86
% 4.78/4.86 cnf(cls_parts_OInj_0,axiom,
% 4.78/4.86 ( c_in(V_X,c_Message_Oparts(V_H),tc_Message_Omsg)
% 4.78/4.86 | ~ c_in(V_X,V_H,tc_Message_Omsg) ) ).
% 4.78/4.86
% 4.78/4.86 cnf(cls_analz_OInj_0,axiom,
% 4.78/4.86 ( c_in(V_X,c_Message_Oanalz(V_H),tc_Message_Omsg)
% 4.78/4.86 | ~ c_in(V_X,V_H,tc_Message_Omsg) ) ).
% 4.78/4.86
% 4.78/4.86 cnf(cls_Spy__in__bad_0,axiom,
% 4.78/4.86 c_in(c_Message_Oagent_OSpy,c_Event_Obad,tc_Message_Oagent) ).
% 4.78/4.86
% 4.78/4.86 cnf(cls_msg_Osimps_I43_J_0,axiom,
% 4.78/4.86 c_Message_Omsg_OCrypt(V_nat_H,V_msg_H) != hAPP(c_Message_Omsg_OKey,V_nat) ).
% 4.78/4.86
% 4.78/4.86 cnf(cls_parts__idem_0,axiom,
% 4.78/4.86 c_Message_Oparts(c_Message_Oparts(V_H)) = c_Message_Oparts(V_H) ).
% 4.78/4.86
% 4.78/4.86 cnf(cls_msg_Osimps_I30_J_0,axiom,
% 4.78/4.86 c_Message_Omsg_ONonce(V_nat) != hAPP(c_Message_Omsg_OKey,V_nat_H) ).
% 4.78/4.86
% 4.78/4.86 cnf(cls_analz__parts_0,axiom,
% 4.78/4.86 c_Message_Oanalz(c_Message_Oparts(V_H)) = c_Message_Oparts(V_H) ).
% 4.78/4.86
% 4.78/4.86 cnf(cls_msg_Osimps_I17_J_0,axiom,
% 4.78/4.86 c_Message_Omsg_OMPair(V_msg1_H,V_msg2_H) != c_Message_Omsg_OAgent(V_agent) ).
% 4.78/4.86
% 4.78/4.86 cnf(cls_msg_Osimps_I11_J_0,axiom,
% 4.78/4.86 c_Message_Omsg_ONonce(V_nat_H) != c_Message_Omsg_OAgent(V_agent) ).
% 4.78/4.86
% 4.78/4.86 cnf(cls_parts_OBody_0,axiom,
% 4.78/4.86 ( c_in(V_X,c_Message_Oparts(V_H),tc_Message_Omsg)
% 4.78/4.86 | ~ c_in(c_Message_Omsg_OCrypt(V_K,V_X),c_Message_Oparts(V_H),tc_Message_Omsg) ) ).
% 4.78/4.86
% 4.78/4.86 cnf(cls_analz__shrK__Decrypt_0,axiom,
% 4.78/4.86 ( c_in(V_X,c_Message_Oanalz(V_H),tc_Message_Omsg)
% 4.78/4.86 | ~ c_in(hAPP(c_Message_Omsg_OKey,hAPP(c_Public_OshrK,V_A)),c_Message_Oanalz(V_H),tc_Message_Omsg)
% 4.78/4.86 | ~ c_in(c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,V_A),V_X),c_Message_Oanalz(V_H),tc_Message_Omsg) ) ).
% 4.78/4.86
% 4.78/4.86 cnf(cls_Spy__see__shrK_1,axiom,
% 4.78/4.86 ( 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)
% 4.78/4.86 | ~ c_in(V_A,c_Event_Obad,tc_Message_Oagent)
% 4.78/4.86 | ~ c_in(V_evs,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent)) ) ).
% 4.78/4.86
% 4.78/4.86 cnf(cls_Spy__see__shrK_0,axiom,
% 4.78/4.86 ( c_in(V_A,c_Event_Obad,tc_Message_Oagent)
% 4.78/4.86 | ~ 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)
% 4.78/4.86 | ~ c_in(V_evs,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent)) ) ).
% 4.78/4.86
% 4.78/4.86 cnf(cls_parts__partsD_0,axiom,
% 4.78/4.86 ( c_in(V_X,c_Message_Oparts(V_H),tc_Message_Omsg)
% 4.78/4.86 | ~ c_in(V_X,c_Message_Oparts(c_Message_Oparts(V_H)),tc_Message_Omsg) ) ).
% 4.78/4.86
% 4.78/4.86 cnf(cls_cert__A__form_1,axiom,
% 4.78/4.86 ( 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)))
% 4.78/4.86 | ~ c_in(V_evs,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))
% 4.78/4.86 | c_in(V_A,c_Event_Obad,tc_Message_Oagent)
% 4.78/4.86 | ~ 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) ) ).
% 4.78/4.86
% 4.78/4.86 cnf(cls_msg_Osimps_I4_J_0,axiom,
% 4.78/4.86 ( hAPP(c_Message_Omsg_OKey,V_nat) != hAPP(c_Message_Omsg_OKey,V_nat_H)
% 4.78/4.86 | V_nat = V_nat_H ) ).
% 4.78/4.86
% 4.78/4.86 cnf(cls_msg_Osimps_I16_J_0,axiom,
% 4.78/4.86 c_Message_Omsg_OAgent(V_agent) != c_Message_Omsg_OMPair(V_msg1_H,V_msg2_H) ).
% 4.78/4.86
% 4.78/4.86 cnf(cls_Spy__spies__bad__shrK_0,axiom,
% 4.78/4.86 ( 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)
% 4.78/4.86 | ~ c_in(V_A,c_Event_Obad,tc_Message_Oagent) ) ).
% 4.78/4.86
% 4.78/4.86 cnf(cls_msg_Osimps_I18_J_0,axiom,
% 4.78/4.86 c_Message_Omsg_OAgent(V_agent) != c_Message_Omsg_OCrypt(V_nat_H,V_msg_H) ).
% 4.78/4.86
% 4.78/4.86 cnf(cls_msg_Osimps_I34_J_0,axiom,
% 4.78/4.86 c_Message_Omsg_ONonce(V_nat) != c_Message_Omsg_OMPair(V_msg1_H,V_msg2_H) ).
% 4.78/4.86
% 4.78/4.86 cnf(cls_msg_Osimps_I48_J_0,axiom,
% 4.78/4.86 c_Message_Omsg_OMPair(V_msg1,V_msg2) != c_Message_Omsg_OCrypt(V_nat_H,V_msg_H) ).
% 4.78/4.86
% 4.78/4.86 cnf(cls_msg_Osimps_I19_J_0,axiom,
% 4.78/4.86 c_Message_Omsg_OCrypt(V_nat_H,V_msg_H) != c_Message_Omsg_OAgent(V_agent) ).
% 4.78/4.86
% 4.78/4.86 cnf(cls_shrK__in__knows_0,axiom,
% 4.78/4.86 c_in(hAPP(c_Message_Omsg_OKey,hAPP(c_Public_OshrK,V_A)),c_Event_Oknows(V_A,V_evs),tc_Message_Omsg) ).
% 4.78/4.86
% 4.78/4.86 cnf(cls_msg_Osimps_I13_J_0,axiom,
% 4.78/4.86 hAPP(c_Message_Omsg_OKey,V_nat_H) != c_Message_Omsg_OAgent(V_agent) ).
% 4.78/4.86
% 4.78/4.86 cnf(cls_Spy__analz__shrK_0,axiom,
% 4.78/4.86 ( c_in(V_A,c_Event_Obad,tc_Message_Oagent)
% 4.78/4.86 | ~ 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)
% 4.78/4.86 | ~ c_in(V_evs,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent)) ) ).
% 4.78/4.86
% 4.78/4.86 cnf(cls_Spy__analz__shrK_1,axiom,
% 4.78/4.86 ( 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)
% 4.78/4.86 | ~ c_in(V_A,c_Event_Obad,tc_Message_Oagent)
% 4.78/4.86 | ~ c_in(V_evs,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent)) ) ).
% 4.78/4.86
% 4.78/4.86 cnf(cls_analz__analzD_0,axiom,
% 4.78/4.86 ( c_in(V_X,c_Message_Oanalz(V_H),tc_Message_Omsg)
% 4.78/4.86 | ~ c_in(V_X,c_Message_Oanalz(c_Message_Oanalz(V_H)),tc_Message_Omsg) ) ).
% 4.78/4.86
% 4.78/4.86 cnf(cls_msg_Osimps_I3_J_0,axiom,
% 4.78/4.86 ( c_Message_Omsg_ONonce(V_nat) != c_Message_Omsg_ONonce(V_nat_H)
% 4.78/4.86 | V_nat = V_nat_H ) ).
% 4.78/4.86
% 4.78/4.86 cnf(cls_mem__def_1,axiom,
% 4.78/4.86 ( c_in(V_x,V_S,T_a)
% 4.78/4.86 | ~ hBOOL(hAPP(V_S,V_x)) ) ).
% 4.78/4.86
% 4.78/4.86 cnf(cls_mem__def_0,axiom,
% 4.78/4.86 ( hBOOL(hAPP(V_S,V_x))
% 4.78/4.86 | ~ c_in(V_x,V_S,T_a) ) ).
% 4.78/4.86
% 4.78/4.86 cnf(cls_msg_Osimps_I36_J_0,axiom,
% 4.78/4.86 c_Message_Omsg_ONonce(V_nat) != c_Message_Omsg_OCrypt(V_nat_H,V_msg_H) ).
% 4.78/4.86
% 4.78/4.86 cnf(cls_msg_Osimps_I7_J_0,axiom,
% 4.78/4.86 ( c_Message_Omsg_OCrypt(V_nat,V_msg) != c_Message_Omsg_OCrypt(V_nat_H,V_msg_H)
% 4.78/4.86 | V_nat = V_nat_H ) ).
% 4.78/4.86
% 4.78/4.86 cnf(cls_msg_Osimps_I7_J_1,axiom,
% 4.78/4.86 ( c_Message_Omsg_OCrypt(V_nat,V_msg) != c_Message_Omsg_OCrypt(V_nat_H,V_msg_H)
% 4.78/4.86 | V_msg = V_msg_H ) ).
% 4.78/4.86
% 4.78/4.86 cnf(cls_msg_Osimps_I10_J_0,axiom,
% 4.78/4.86 c_Message_Omsg_OAgent(V_agent) != c_Message_Omsg_ONonce(V_nat_H) ).
% 4.78/4.86
% 4.78/4.86 cnf(cls_msg_Osimps_I6_J_0,axiom,
% 4.78/4.86 ( c_Message_Omsg_OMPair(V_msg1,V_msg2) != c_Message_Omsg_OMPair(V_msg1_H,V_msg2_H)
% 4.78/4.86 | V_msg1 = V_msg1_H ) ).
% 4.78/4.86
% 4.78/4.86 cnf(cls_msg_Osimps_I6_J_1,axiom,
% 4.78/4.86 ( c_Message_Omsg_OMPair(V_msg1,V_msg2) != c_Message_Omsg_OMPair(V_msg1_H,V_msg2_H)
% 4.78/4.86 | V_msg2 = V_msg2_H ) ).
% 4.78/4.86
% 4.78/4.86 cnf(cls_Crypt__Spy__analz__bad_0,axiom,
% 4.78/4.86 ( c_in(V_X,c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,V_evs)),tc_Message_Omsg)
% 4.78/4.86 | ~ c_in(V_A,c_Event_Obad,tc_Message_Oagent)
% 4.78/4.86 | ~ 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) ) ).
% 4.78/4.86
% 4.78/4.86 cnf(cls_msg_Osimps_I35_J_0,axiom,
% 4.78/4.86 c_Message_Omsg_OMPair(V_msg1_H,V_msg2_H) != c_Message_Omsg_ONonce(V_nat) ).
% 4.78/4.86
% 4.78/4.86 cnf(cls_msg_Osimps_I49_J_0,axiom,
% 4.78/4.86 c_Message_Omsg_OCrypt(V_nat_H,V_msg_H) != c_Message_Omsg_OMPair(V_msg1,V_msg2) ).
% 4.78/4.86
% 4.78/4.86 cnf(cls_msg_Osimps_I40_J_0,axiom,
% 4.78/4.86 hAPP(c_Message_Omsg_OKey,V_nat) != c_Message_Omsg_OMPair(V_msg1_H,V_msg2_H) ).
% 4.78/4.86
% 4.78/4.86 cnf(cls_msg_Osimps_I41_J_0,axiom,
% 4.78/4.86 c_Message_Omsg_OMPair(V_msg1_H,V_msg2_H) != hAPP(c_Message_Omsg_OKey,V_nat) ).
% 4.78/4.86
% 4.78/4.86 cnf(cls_msg_Osimps_I42_J_0,axiom,
% 4.78/4.86 hAPP(c_Message_Omsg_OKey,V_nat) != c_Message_Omsg_OCrypt(V_nat_H,V_msg_H) ).
% 4.78/4.86
% 4.78/4.86 cnf(cls_shrK__injective_0,axiom,
% 4.78/4.86 ( hAPP(c_Public_OshrK,V_x) != hAPP(c_Public_OshrK,V_y)
% 4.78/4.86 | V_x = V_y ) ).
% 4.78/4.86
% 4.78/4.86 cnf(cls_not__parts__not__analz_0,axiom,
% 4.78/4.86 ( ~ c_in(V_c,c_Message_Oanalz(V_H),tc_Message_Omsg)
% 4.78/4.86 | c_in(V_c,c_Message_Oparts(V_H),tc_Message_Omsg) ) ).
% 4.78/4.86
% 4.78/4.86 cnf(cls_analz__into__parts_0,axiom,
% 4.78/4.86 ( c_in(V_c,c_Message_Oparts(V_H),tc_Message_Omsg)
% 4.78/4.86 | ~ c_in(V_c,c_Message_Oanalz(V_H),tc_Message_Omsg) ) ).
% 4.78/4.86
% 4.78/4.86 cnf(cls_analz__conj__parts_0,axiom,
% 4.78/4.86 ( c_in(V_X,c_Message_Oparts(V_H),tc_Message_Omsg)
% 4.78/4.86 | ~ c_in(V_X,c_Message_Oanalz(V_H),tc_Message_Omsg) ) ).
% 4.78/4.86
% 4.78/4.86 cnf(cls_conjecture_0,negated_conjecture,
% 4.78/4.86 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) ).
% 4.78/4.86
% 4.78/4.86 cnf(cls_conjecture_1,negated_conjecture,
% 4.78/4.86 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) ).
% 4.78/4.86
% 4.78/4.86 cnf(cls_conjecture_2,negated_conjecture,
% 4.78/4.86 ~ c_in(hAPP(c_Message_Omsg_OKey,v_K),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs)),tc_Message_Omsg) ).
% 4.78/4.86
% 4.78/4.86 cnf(cls_conjecture_3,negated_conjecture,
% 4.78/4.86 ~ c_in(v_A,c_Event_Obad,tc_Message_Oagent) ).
% 4.78/4.86
% 4.78/4.86 cnf(cls_conjecture_4,negated_conjecture,
% 4.78/4.86 ~ c_in(v_B,c_Event_Obad,tc_Message_Oagent) ).
% 4.78/4.86
% 4.78/4.86 cnf(cls_conjecture_5,negated_conjecture,
% 4.78/4.86 c_in(v_evs,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent)) ).
% 4.78/4.86
% 4.78/4.86 cnf(cls_conjecture_6,negated_conjecture,
% 4.78/4.86 ~ 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) ).
% 4.78/4.86
% 4.78/4.86 cnf(clsarity_fun__Lattices_Oupper__semilattice,axiom,
% 4.78/4.86 ( class_Lattices_Oupper__semilattice(tc_fun(T_2,T_1))
% 4.78/4.86 | ~ class_Lattices_Olattice(T_1) ) ).
% 4.78/4.86
% 4.78/4.86 cnf(clsarity_fun__Lattices_Obounded__lattice,axiom,
% 4.78/4.86 ( class_Lattices_Obounded__lattice(tc_fun(T_2,T_1))
% 4.78/4.86 | ~ class_Lattices_Obounded__lattice(T_1) ) ).
% 4.78/4.86
% 4.78/4.86 cnf(clsarity_fun__Lattices_Oboolean__algebra,axiom,
% 4.78/4.86 ( class_Lattices_Oboolean__algebra(tc_fun(T_2,T_1))
% 4.78/4.86 | ~ class_Lattices_Oboolean__algebra(T_1) ) ).
% 4.78/4.86
% 4.78/4.86 cnf(clsarity_fun__Orderings_Opreorder,axiom,
% 4.78/4.86 ( class_Orderings_Opreorder(tc_fun(T_2,T_1))
% 4.78/4.86 | ~ class_Orderings_Opreorder(T_1) ) ).
% 4.78/4.86
% 4.78/4.86 cnf(clsarity_fun__Lattices_Olattice,axiom,
% 4.78/4.86 ( class_Lattices_Olattice(tc_fun(T_2,T_1))
% 4.78/4.86 | ~ class_Lattices_Olattice(T_1) ) ).
% 4.78/4.86
% 4.78/4.86 cnf(clsarity_fun__Orderings_Oorder,axiom,
% 4.78/4.86 ( class_Orderings_Oorder(tc_fun(T_2,T_1))
% 4.78/4.86 | ~ class_Orderings_Oorder(T_1) ) ).
% 4.78/4.86
% 4.78/4.86 cnf(clsarity_fun__Orderings_Otop,axiom,
% 4.78/4.86 ( class_Orderings_Otop(tc_fun(T_2,T_1))
% 4.78/4.86 | ~ class_Orderings_Otop(T_1) ) ).
% 4.78/4.86
% 4.78/4.86 cnf(clsarity_fun__HOL_Oord,axiom,
% 4.78/4.86 ( class_HOL_Oord(tc_fun(T_2,T_1))
% 4.78/4.86 | ~ class_HOL_Oord(T_1) ) ).
% 4.78/4.86
% 4.78/4.86 cnf(clsarity_nat__Lattices_Oupper__semilattice,axiom,
% 4.78/4.86 class_Lattices_Oupper__semilattice(tc_nat) ).
% 4.78/4.86
% 4.78/4.86 cnf(clsarity_nat__Orderings_Opreorder,axiom,
% 4.78/4.86 class_Orderings_Opreorder(tc_nat) ).
% 4.78/4.86
% 4.78/4.86 cnf(clsarity_nat__Orderings_Olinorder,axiom,
% 4.78/4.86 class_Orderings_Olinorder(tc_nat) ).
% 4.78/4.86
% 4.78/4.86 cnf(clsarity_nat__Lattices_Olattice,axiom,
% 4.78/4.86 class_Lattices_Olattice(tc_nat) ).
% 4.78/4.86
% 4.78/4.86 cnf(clsarity_nat__Orderings_Oorder,axiom,
% 4.78/4.86 class_Orderings_Oorder(tc_nat) ).
% 4.78/4.86
% 4.78/4.86 cnf(clsarity_nat__HOL_Oord,axiom,
% 4.78/4.86 class_HOL_Oord(tc_nat) ).
% 4.78/4.86
% 4.78/4.86 cnf(clsarity_bool__Lattices_Oupper__semilattice,axiom,
% 4.78/4.86 class_Lattices_Oupper__semilattice(tc_bool) ).
% 4.78/4.86
% 4.78/4.86 cnf(clsarity_bool__Lattices_Obounded__lattice,axiom,
% 4.78/4.86 class_Lattices_Obounded__lattice(tc_bool) ).
% 4.78/4.86
% 4.78/4.86 cnf(clsarity_bool__Lattices_Oboolean__algebra,axiom,
% 4.78/4.86 class_Lattices_Oboolean__algebra(tc_bool) ).
% 4.78/4.86
% 4.78/4.86 cnf(clsarity_bool__Orderings_Opreorder,axiom,
% 4.78/4.86 class_Orderings_Opreorder(tc_bool) ).
% 4.78/4.86
% 4.78/4.86 cnf(clsarity_bool__Lattices_Olattice,axiom,
% 4.78/4.86 class_Lattices_Olattice(tc_bool) ).
% 4.78/4.86
% 4.78/4.86 cnf(clsarity_bool__Orderings_Oorder,axiom,
% 4.78/4.86 class_Orderings_Oorder(tc_bool) ).
% 4.78/4.86
% 4.78/4.86 cnf(clsarity_bool__Orderings_Otop,axiom,
% 4.78/4.86 class_Orderings_Otop(tc_bool) ).
% 4.78/4.86
% 4.78/4.86 cnf(clsarity_bool__HOL_Oord,axiom,
% 4.78/4.86 class_HOL_Oord(tc_bool) ).
% 4.78/4.86
% 4.78/4.86 cnf(cls_ATP__Linkup_Oequal__imp__fequal_0,axiom,
% 4.78/4.86 c_fequal(V_x,V_x,T_a) ).
% 4.78/4.86
% 4.78/4.86 cnf(cls_ATP__Linkup_Ofequal__imp__equal_0,axiom,
% 4.78/4.86 ( V_X = V_Y
% 4.78/4.86 | ~ c_fequal(V_X,V_Y,T_a) ) ).
% 4.78/4.86
% 4.78/4.86 %------------------------------------------------------------------------------
% 4.78/4.86 %-------------------------------------------
% 4.78/4.86 % Proof found
% 4.78/4.86 % SZS status Theorem for theBenchmark
% 4.78/4.86 % SZS output start Proof
% 4.78/4.86 %ClaNum:664(EqnAxiom:110)
% 4.78/4.86 %VarNum:2864(SingletonVarNum:1392)
% 4.78/4.86 %MaxLitNum:7
% 4.78/4.86 %MaxfuncDepth:9
% 4.78/4.86 %SharedTerms:65
% 4.78/4.86 %goalClause: 142 198 216 300 301 318 322
% 4.78/4.86 %singleGoalClaCount:7
% 4.78/4.86 [111]P1(a1)
% 4.78/4.86 [112]P9(a1)
% 4.78/4.86 [113]P9(a42)
% 4.78/4.86 [114]P10(a1)
% 4.78/4.86 [115]P10(a42)
% 4.78/4.86 [116]P2(a1)
% 4.78/4.86 [117]P3(a1)
% 4.78/4.86 [118]P3(a42)
% 4.78/4.86 [119]P11(a1)
% 4.78/4.86 [120]P11(a42)
% 4.78/4.86 [121]P15(a1)
% 4.78/4.86 [122]P16(a1)
% 4.78/4.86 [123]P16(a42)
% 4.78/4.86 [124]P12(a42)
% 4.78/4.86 [139]P6(a21,a5,a39)
% 4.78/4.86 [274]~E(a23,a21)
% 4.78/4.86 [299]~P6(a23,a5,a39)
% 4.78/4.86 [300]~P6(a46,a5,a39)
% 4.78/4.86 [301]~P6(a47,a5,a39)
% 4.78/4.86 [125]P4(f3(a2))
% 4.78/4.86 [142]P6(a44,a34,f40(a2))
% 4.78/4.86 [143]P6(f3(a2),a34,f40(a2))
% 4.78/4.86 [318]~P6(f32(a28,a45),f19(f4(a21,a44)),a41)
% 4.78/4.86 [198]P6(f29(a45,f30(f27(a48),f27(a48))),f18(f4(a21,a44)),a41)
% 4.78/4.86 [216]P6(f29(f32(a33,a46),f30(f32(a28,a45),f25(a47))),f18(f4(a21,a44)),a41)
% 4.78/4.86 [322]~P5(a47,a46,f29(a45,f30(f27(a48),f27(a48))),a44)
% 4.78/4.86 [153]P6(f32(a33,x1531),a31,a42)
% 4.78/4.86 [157]P8(x1571,f17(x1571),f43(a41,a1))
% 4.78/4.86 [158]P8(x1581,f18(x1581),f43(a41,a1))
% 4.78/4.86 [159]P8(x1591,f19(x1591),f43(a41,a1))
% 4.78/4.86 [160]P8(f19(x1601),f18(x1601),f43(a41,a1))
% 4.78/4.86 [126]E(f17(f17(x1261)),f17(x1261))
% 4.78/4.86 [127]E(f18(f18(x1271)),f18(x1271))
% 4.78/4.86 [128]E(f18(f19(x1281)),f18(x1281))
% 4.78/4.86 [129]E(f19(f18(x1291)),f18(x1291))
% 4.78/4.86 [130]E(f19(f19(x1301)),f19(x1301))
% 4.78/4.86 [132]E(f20(f3(x1321),x1321),f3(x1321))
% 4.78/4.86 [133]E(f32(a24,f32(a24,x1331)),x1331)
% 4.78/4.86 [137]E(f4(a21,f20(x1371,a2)),f4(a21,x1371))
% 4.78/4.86 [138]E(f32(a24,f32(a33,x1381)),f32(a33,x1381))
% 4.78/4.86 [161]P8(f11(f3(a2)),f11(x1611),f43(a41,a1))
% 4.78/4.86 [162]E(f10(f18(x1621),f17(x1621),f43(a41,a1)),f18(f17(x1621)))
% 4.78/4.86 [163]E(f10(f19(x1631),f17(x1631),f43(a41,a1)),f19(f17(x1631)))
% 4.78/4.86 [171]P8(f18(f4(a21,x1711)),f11(x1711),f43(a41,a1))
% 4.78/4.86 [261]E(f18(f38(a28,x2611,a42,a41)),f38(a28,x2611,a42,a41))
% 4.78/4.86 [262]E(f19(f38(a28,x2621,a42,a41)),f38(a28,x2621,a42,a41))
% 4.78/4.86 [315]~P6(f27(x3151),f11(f3(a2)),a41)
% 4.78/4.86 [212]P8(f18(f4(a21,f20(x2121,a2))),f18(f4(a21,x2121)),f43(a41,a1))
% 4.78/4.86 [141]P7(x1411,x1411,x1412)
% 4.78/4.86 [150]P6(f25(x1501),f17(x1502),a41)
% 4.78/4.86 [155]P8(x1551,x1551,f43(x1552,a1))
% 4.78/4.86 [276]~E(f27(x2761),f25(x2762))
% 4.78/4.86 [277]~E(f25(x2771),f32(a28,x2772))
% 4.78/4.86 [278]~E(f27(x2781),f32(a28,x2782))
% 4.78/4.86 [279]~E(f32(a28,x2791),f25(x2792))
% 4.78/4.86 [280]~E(f32(a28,x2801),f27(x2802))
% 4.78/4.86 [323]~P6(f27(x3231),f38(a28,x3232,a42,a41),a41)
% 4.78/4.86 [136]E(f20(f20(x1361,x1362),x1362),x1361)
% 4.78/4.86 [140]E(f22(f20(x1401,x1402),x1402),f22(x1401,x1402))
% 4.78/4.86 [147]E(f9(x1471,f3(x1472),x1472),x1471)
% 4.78/4.86 [148]E(f9(f3(x1481),x1482,x1481),x1482)
% 4.78/4.86 [156]E(f10(x1561,x1561,f43(x1562,a1)),x1561)
% 4.78/4.86 [164]P6(x1641,f35(f43(x1642,a1)),x1642)
% 4.78/4.86 [165]E(f15(f15(x1651,f43(x1652,a1)),f43(x1652,a1)),x1651)
% 4.78/4.86 [169]P6(f32(a28,f32(a33,x1691)),f11(x1692),a41)
% 4.78/4.86 [170]P8(x1701,f35(f43(x1702,a1)),f43(x1702,a1))
% 4.78/4.86 [172]P8(f4(x1721,f3(a2)),f4(x1721,x1722),f43(a41,a1))
% 4.78/4.86 [174]P6(f32(a28,f32(a33,x1741)),f4(x1741,x1742),a41)
% 4.78/4.86 [177]E(f10(x1771,f35(f43(x1772,a1)),f43(x1772,a1)),f35(f43(x1772,a1)))
% 4.78/4.86 [178]E(f10(f35(f43(x1781,a1)),x1782,f43(x1781,a1)),f35(f43(x1781,a1)))
% 4.78/4.86 [187]E(f10(x1871,f15(x1871,f43(x1872,a1)),f43(x1872,a1)),f35(f43(x1872,a1)))
% 4.78/4.86 [188]E(f10(f15(x1881,f43(x1882,a1)),x1881,f43(x1882,a1)),f35(f43(x1882,a1)))
% 4.78/4.86 [234]P8(f37(x2341,f17(x2342),a41),f17(f37(x2341,x2342,a41)),f43(a41,a1))
% 4.78/4.86 [235]P8(f37(x2351,f18(x2352),a41),f18(f37(x2351,x2352,a41)),f43(a41,a1))
% 4.78/4.86 [236]P8(f37(x2361,f19(x2362),a41),f19(f37(x2361,x2362,a41)),f43(a41,a1))
% 4.78/4.86 [316]~P6(f32(f36(x3161),x3162),a31,a42)
% 4.78/4.86 [317]~P6(f29(x3171,x3172),f11(f3(a2)),a41)
% 4.78/4.86 [166]E(f26(f37(f25(x1661),x1662,a41)),f26(x1662))
% 4.78/4.86 [167]E(f26(f37(f27(x1671),x1672,a41)),f26(x1672))
% 4.78/4.86 [173]P17(f32(f35(f43(x1731,a1)),x1732))
% 4.78/4.86 [179]E(f26(f37(f32(a28,x1791),x1792,a41)),f26(x1792))
% 4.78/4.86 [192]E(f18(f37(f25(x1921),x1922,a41)),f37(f25(x1921),f18(x1922),a41))
% 4.78/4.86 [193]E(f18(f37(f27(x1931),x1932,a41)),f37(f27(x1931),f18(x1932),a41))
% 4.78/4.86 [194]E(f19(f37(f25(x1941),x1942,a41)),f37(f25(x1941),f19(x1942),a41))
% 4.78/4.86 [195]E(f19(f37(f27(x1951),x1952,a41)),f37(f27(x1951),f19(x1952),a41))
% 4.78/4.86 [197]E(f20(f16(x1971,f3(x1972),x1972),x1972),f16(x1971,f3(x1972),x1972))
% 4.78/4.86 [207]E(f18(f37(f32(a28,x2071),x2072,a41)),f37(f32(a28,x2071),f18(x2072),a41))
% 4.78/4.86 [208]E(f10(f18(x2081),f18(x2082),f43(a41,a1)),f18(f10(x2081,x2082,f43(a41,a1))))
% 4.78/4.86 [217]E(f19(f10(f19(x2171),x2172,f43(a41,a1))),f19(f10(x2171,x2172,f43(a41,a1))))
% 4.78/4.86 [254]E(f10(f19(f10(x2541,x2542,f43(a41,a1))),f17(x2541),f43(a41,a1)),f19(f10(f17(x2541),x2542,f43(a41,a1))))
% 4.78/4.86 [255]P8(f18(f10(x2551,x2552,f43(a41,a1))),f10(f18(x2551),f18(x2552),f43(a41,a1)),f43(a41,a1))
% 4.78/4.86 [256]P8(f10(f17(x2561),f17(x2562),f43(a41,a1)),f17(f10(x2561,x2562,f43(a41,a1))),f43(a41,a1))
% 4.78/4.86 [257]P8(f10(f18(x2571),f18(x2572),f43(a41,a1)),f18(f10(x2571,x2572,f43(a41,a1))),f43(a41,a1))
% 4.78/4.86 [258]P8(f10(f19(x2581),f19(x2582),f43(a41,a1)),f19(f10(x2581,x2582,f43(a41,a1))),f43(a41,a1))
% 4.78/4.86 [319]~P6(f27(x3191),f18(f4(x3192,f3(a2))),a41)
% 4.78/4.86 [321]~P6(f32(a24,f32(f36(x3211),x3212)),a31,a42)
% 4.78/4.86 [214]P6(f32(a28,f32(a24,f32(f36(x2141),x2142))),f4(x2142,f3(a2)),a41)
% 4.78/4.86 [183]P6(x1831,f37(x1831,x1832,x1833),x1833)
% 4.78/4.86 [190]P8(x1901,f37(x1902,x1901,x1903),f43(x1903,a1))
% 4.78/4.86 [281]~E(f25(x2811),f29(x2812,x2813))
% 4.78/4.86 [282]~E(f25(x2821),f30(x2822,x2823))
% 4.78/4.86 [283]~E(f27(x2831),f29(x2832,x2833))
% 4.78/4.86 [284]~E(f27(x2841),f30(x2842,x2843))
% 4.78/4.86 [285]~E(f29(x2851,x2852),f25(x2853))
% 4.78/4.86 [286]~E(f29(x2861,x2862),f27(x2863))
% 4.78/4.86 [287]~E(f30(x2871,x2872),f25(x2873))
% 4.78/4.86 [288]~E(f30(x2881,x2882),f27(x2883))
% 4.78/4.86 [289]~E(f29(x2891,x2892),f32(a28,x2893))
% 4.78/4.86 [290]~E(f30(x2901,x2902),f32(a28,x2903))
% 4.78/4.86 [291]~E(f32(a28,x2911),f29(x2912,x2913))
% 4.78/4.86 [292]~E(f32(a28,x2921),f30(x2922,x2923))
% 4.78/4.86 [303]~E(f16(x3031,x3032,x3033),x3032)
% 4.78/4.86 [306]~E(f16(x3061,x3062,x3063),f3(x3063))
% 4.78/4.86 [324]~P6(f29(x3241,x3242),f38(a28,x3243,a42,a41),a41)
% 4.78/4.86 [176]E(f10(x1761,x1762,f43(x1763,a1)),f10(x1762,x1761,f43(x1763,a1)))
% 4.78/4.86 [199]E(f37(x1991,f22(x1992,x1993),x1993),f22(f16(x1991,x1992,x1993),x1993))
% 4.78/4.86 [201]E(f37(x2011,f37(x2011,x2012,x2013),x2013),f37(x2011,x2012,x2013))
% 4.78/4.86 [204]E(f9(f20(x2041,x2042),f20(x2043,x2042),x2042),f20(f9(x2043,x2041,x2042),x2042))
% 4.78/4.86 [205]P8(x2051,f10(x2052,x2051,f43(x2053,a1)),f43(x2053,a1))
% 4.78/4.86 [206]P8(x2061,f10(x2061,x2062,f43(x2063,a1)),f43(x2063,a1))
% 4.78/4.86 [209]P17(f32(f37(x2091,x2092,x2093),x2091))
% 4.78/4.86 [211]E(f10(f22(x2111,x2112),f22(x2113,x2112),f43(x2112,a1)),f22(f9(x2111,x2113,x2112),x2112))
% 4.78/4.86 [215]E(f10(x2151,f10(x2151,x2152,f43(x2153,a1)),f43(x2153,a1)),f10(x2151,x2152,f43(x2153,a1)))
% 4.78/4.86 [228]P8(f4(x2281,x2282),f4(x2281,f16(x2283,x2282,a2)),f43(a41,a1))
% 4.78/4.86 [229]P8(f22(x2291,x2292),f22(f16(x2293,x2291,x2292),x2292),f43(x2292,a1))
% 4.78/4.86 [297]~E(f32(a33,x2971),f32(f36(x2972),x2973))
% 4.78/4.86 [298]~E(f32(f36(x2981),x2982),f32(a33,x2983))
% 4.78/4.86 [325]~P6(f32(a33,x3251),f38(f36(x3252),x3253,a39,a42),a42)
% 4.78/4.86 [326]~P6(f32(f36(x3261),x3262),f38(a33,x3263,a39,a42),a42)
% 4.78/4.86 [180]P6(f32(a28,f32(f36(x1801),x1802)),f11(x1803),a41)
% 4.78/4.86 [184]E(f26(f37(f30(x1841,x1842),x1843,a41)),f26(x1843))
% 4.78/4.86 [185]E(f11(f16(f6(x1851,x1852),x1853,a2)),f11(x1853))
% 4.78/4.86 [186]P6(f32(a28,f32(f36(x1861),x1862)),f4(a21,x1863),a41)
% 4.78/4.86 [189]E(f4(a21,f16(f6(x1891,x1892),x1893,a2)),f4(a21,x1893))
% 4.78/4.86 [191]P6(f32(a28,f32(f36(x1911),x1912)),f4(x1913,f3(a2)),a41)
% 4.78/4.86 [200]P6(f32(a28,f32(f36(x2001),x2002)),f19(f4(a21,x2003)),a41)
% 4.78/4.86 [210]E(f4(x2101,f16(f7(x2101,x2102),x2103,a2)),f37(x2102,f4(x2101,x2103),a41))
% 4.78/4.86 [218]E(f9(f20(x2181,x2182),f16(x2183,f3(x2182),x2182),x2182),f20(f16(x2183,x2181,x2182),x2182))
% 4.78/4.86 [246]E(f37(f29(x2461,x2462),f18(f37(x2462,x2463,a41)),a41),f18(f37(f29(x2461,x2462),x2463,a41)))
% 4.78/4.86 [270]P8(f19(f37(f29(x2701,x2702),x2703,a41)),f37(f29(x2701,x2702),f19(f37(x2702,x2703,a41)),a41),f43(a41,a1))
% 4.78/4.86 [307]~E(f32(a33,x3071),f32(a24,f32(f36(x3072),x3073)))
% 4.78/4.86 [308]~E(f32(a24,f32(f36(x3081),x3082)),f32(a33,x3083))
% 4.78/4.86 [320]~P6(f29(x3201,x3202),f18(f4(x3203,f3(a2))),a41)
% 4.78/4.86 [327]~P6(f32(a24,f32(f36(x3271),x3272)),f38(a33,x3273,a39,a42),a42)
% 4.78/4.86 [329]~P6(f32(a33,x3291),f38(a24,f38(f36(x3292),x3293,a39,a42),a42,a42),a42)
% 4.78/4.86 [213]P6(f32(a28,f32(a24,f32(f36(x2131),x2132))),f11(x2133),a41)
% 4.78/4.86 [245]E(f4(a21,f9(x2451,f16(f6(x2452,x2453),f3(a2),a2),a2)),f4(a21,x2451))
% 4.78/4.86 [252]E(f20(f9(f20(x2521,x2522),f16(x2523,f3(x2522),x2522),x2522),x2522),f16(x2523,x2521,x2522))
% 4.78/4.86 [266]E(f37(f30(x2661,x2662),f18(f37(x2661,f37(x2662,x2663,a41),a41)),a41),f18(f37(f30(x2661,x2662),x2663,a41)))
% 4.78/4.86 [267]E(f37(f30(x2671,x2672),f19(f37(x2671,f37(x2672,x2673,a41),a41)),a41),f19(f37(f30(x2671,x2672),x2673,a41)))
% 4.78/4.86 [294]~E(f7(x2941,x2942),f6(x2943,x2944))
% 4.78/4.86 [296]~E(f30(x2961,x2962),f29(x2963,x2964))
% 4.78/4.86 [219]E(f37(x2191,f37(x2192,x2193,x2194),x2194),f37(x2192,f37(x2191,x2193,x2194),x2194))
% 4.78/4.86 [225]E(f9(f9(x2251,x2252,x2253),x2254,x2253),f9(x2251,f9(x2252,x2254,x2253),x2253))
% 4.78/4.86 [227]E(f16(x2271,f9(x2272,x2273,x2274),x2274),f9(f16(x2271,x2272,x2274),x2273,x2274))
% 4.78/4.86 [247]E(f10(x2471,f10(x2472,x2473,f43(x2474,a1)),f43(x2474,a1)),f10(x2472,f10(x2471,x2473,f43(x2474,a1)),f43(x2474,a1)))
% 4.78/4.86 [249]E(f10(f10(x2491,x2492,f43(x2493,a1)),x2494,f43(x2493,a1)),f10(x2491,f10(x2492,x2494,f43(x2493,a1)),f43(x2493,a1)))
% 4.78/4.86 [230]E(f37(x2301,f10(x2302,x2303,f43(x2304,a1)),x2304),f10(x2302,f37(x2301,x2303,x2304),f43(x2304,a1)))
% 4.78/4.86 [231]E(f37(x2311,f10(x2312,x2313,f43(x2314,a1)),x2314),f10(f37(x2311,x2312,x2314),x2313,f43(x2314,a1)))
% 4.78/4.86 [237]E(f4(a21,f16(f8(x2371,x2372,x2373),x2374,a2)),f37(x2373,f4(a21,x2374),a41))
% 4.78/4.86 [240]E(f4(x2401,f16(f8(x2401,x2402,x2403),x2404,a2)),f37(x2403,f4(x2401,x2404),a41))
% 4.78/4.86 [259]P6(f32(x2591,x2592),f38(x2591,f35(f43(x2593,a1)),x2593,x2594),x2594)
% 4.78/4.86 [260]P6(x2601,f22(f9(x2602,f16(x2601,x2603,x2604),x2604),x2604),x2604)
% 4.78/4.86 [313]~E(f32(f36(x3131),x3132),f32(a24,f32(f36(x3133),x3134)))
% 4.78/4.86 [314]~E(f32(a24,f32(f36(x3141),x3142)),f32(f36(x3143),x3144))
% 4.78/4.86 [328]~P6(f32(a24,f32(f36(x3281),x3282)),f38(f36(x3283),x3284,a39,a42),a42)
% 4.78/4.86 [330]~P6(f32(f36(x3301),x3302),f38(a24,f38(f36(x3303),x3304,a39,a42),a42,a42),a42)
% 4.78/4.86 [265]E(f4(a21,f9(x2651,f16(f8(x2652,x2653,x2654),f3(a2),a2),a2)),f37(x2654,f4(a21,x2651),a41))
% 4.78/4.86 [309]~E(f6(x3091,x3092),f8(x3093,x3094,x3095))
% 4.78/4.86 [310]~E(f7(x3101,x3102),f8(x3103,x3104,x3105))
% 4.78/4.86 [311]~E(f8(x3111,x3112,x3113),f6(x3114,x3115))
% 4.78/4.86 [312]~E(f8(x3121,x3122,x3123),f7(x3124,x3125))
% 4.78/4.86 [268]E(f38(x2681,f37(x2682,x2683,x2684),x2684,x2685),f37(f32(x2681,x2682),f38(x2681,x2683,x2684,x2685),x2685))
% 4.78/4.86 [269]E(f37(f32(x2691,x2692),f38(x2691,x2693,x2694,x2695),x2695),f38(x2691,f37(x2692,x2693,x2694),x2694,x2695))
% 4.78/4.86 [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))
% 4.78/4.86 [377]E(f32(a24,x3771),x3771)+~P6(x3771,a31,a42)
% 4.78/4.86 [398]~P6(x3981,a31,a42)+P6(f32(a24,x3981),a31,a42)
% 4.78/4.86 [406]P6(x4061,a31,a42)+~P6(f32(a24,x4061),a31,a42)
% 4.78/4.86 [362]~P11(x3622)+P8(x3621,x3621,x3622)
% 4.78/4.86 [363]~P16(x3632)+P8(x3631,x3631,x3632)
% 4.78/4.86 [331]E(x3311,x3312)+~E(f25(x3311),f25(x3312))
% 4.78/4.86 [332]E(x3321,x3322)+~E(f27(x3321),f27(x3322))
% 4.78/4.86 [334]~E(f20(x3341,x3342),f3(x3342))+E(x3341,f3(x3342))
% 4.78/4.86 [335]~P1(x3352)+P1(f43(x3351,x3352))
% 4.78/4.86 [336]~P10(x3362)+P9(f43(x3361,x3362))
% 4.78/4.86 [337]~P10(x3372)+P10(f43(x3371,x3372))
% 4.78/4.86 [338]~P2(x3382)+P2(f43(x3381,x3382))
% 4.78/4.86 [339]~P3(x3392)+P3(f43(x3391,x3392))
% 4.78/4.86 [340]~P11(x3402)+P11(f43(x3401,x3402))
% 4.78/4.86 [341]~P15(x3412)+P15(f43(x3411,x3412))
% 4.78/4.86 [342]~P16(x3422)+P16(f43(x3421,x3422))
% 4.78/4.86 [343]E(x3431,x3432)+~E(f32(a24,x3431),f32(a24,x3432))
% 4.78/4.86 [344]E(x3441,x3442)+~E(f32(a28,x3441),f32(a28,x3442))
% 4.78/4.86 [345]E(x3451,x3452)+~E(f32(a33,x3451),f32(a33,x3452))
% 4.78/4.86 [364]~P9(x3642)+E(f10(x3641,x3641,x3642),x3641)
% 4.78/4.86 [367]~P15(x3672)+P8(x3671,f35(x3672),x3672)
% 4.78/4.86 [389]~P6(x3891,x3892,a41)+P6(x3891,f17(x3892),a41)
% 4.78/4.86 [390]~P6(x3901,x3902,a41)+P6(x3901,f18(x3902),a41)
% 4.78/4.86 [391]~P6(x3911,x3912,a41)+P6(x3911,f19(x3912),a41)
% 4.78/4.86 [397]~P6(x3971,f19(x3972),a41)+P6(x3971,f18(x3972),a41)
% 4.78/4.86 [401]~P6(f27(x4011),f17(x4012),a41)+P6(f27(x4011),x4012,a41)
% 4.78/4.86 [437]~P8(x4371,x4372,f43(a41,a1))+P8(f17(x4371),f17(x4372),f43(a41,a1))
% 4.78/4.86 [438]~P8(x4381,x4382,f43(a41,a1))+P8(f18(x4381),f18(x4382),f43(a41,a1))
% 4.78/4.86 [439]~P8(x4391,x4392,f43(a41,a1))+P8(f19(x4391),f19(x4392),f43(a41,a1))
% 4.78/4.86 [440]~P8(x4401,x4402,f43(a41,a1))+P8(f26(x4401),f26(x4402),f43(a42,a1))
% 4.78/4.86 [443]~P6(f32(a28,x4431),f17(x4432),a41)+P6(f32(a28,x4431),x4432,a41)
% 4.78/4.86 [445]P8(f17(x4451),f17(x4452),f43(a41,a1))+~P8(x4451,f17(x4452),f43(a41,a1))
% 4.78/4.86 [446]P8(f18(x4461),f18(x4462),f43(a41,a1))+~P8(x4461,f18(x4462),f43(a41,a1))
% 4.78/4.86 [447]P8(f19(x4471),f19(x4472),f43(a41,a1))+~P8(x4471,f19(x4472),f43(a41,a1))
% 4.78/4.86 [452]P8(x4521,f17(x4522),f43(a41,a1))+~P8(f17(x4521),f17(x4522),f43(a41,a1))
% 4.78/4.86 [453]P8(x4531,f18(x4532),f43(a41,a1))+~P8(f18(x4531),f18(x4532),f43(a41,a1))
% 4.78/4.86 [454]P8(x4541,f19(x4542),f43(a41,a1))+~P8(f19(x4541),f19(x4542),f43(a41,a1))
% 4.78/4.86 [597]P6(x5971,x5972,a42)+~P6(f32(a24,x5971),f38(a24,x5972,a42,a42),a42)
% 4.78/4.86 [598]P6(x5981,x5982,a42)+~P6(f32(a28,x5981),f38(a28,x5982,a42,a41),a41)
% 4.78/4.86 [599]P6(x5991,x5992,a39)+~P6(f32(a33,x5991),f38(a33,x5992,a39,a42),a42)
% 4.78/4.86 [357]~P2(x3572)+E(f15(f15(x3571,x3572),x3572),x3571)
% 4.78/4.86 [359]~P13(x3592)+E(f15(f15(x3591,x3592),x3592),x3591)
% 4.78/4.86 [368]~P1(x3682)+E(f10(x3681,f35(x3682),x3682),f35(x3682))
% 4.78/4.86 [369]~P1(x3691)+E(f10(f35(x3691),x3692,x3691),f35(x3691))
% 4.78/4.86 [371]~P2(x3712)+E(f10(x3711,f15(x3711,x3712),x3712),f35(x3712))
% 4.78/4.86 [372]~P2(x3722)+E(f10(f15(x3721,x3722),x3721,x3722),f35(x3722))
% 4.78/4.86 [407]P6(x4071,f17(x4072),a41)+~P6(x4071,f17(f17(x4072)),a41)
% 4.78/4.86 [408]P6(x4081,f18(x4082),a41)+~P6(x4081,f18(f18(x4082)),a41)
% 4.78/4.86 [409]P6(x4091,f19(x4092),a41)+~P6(x4091,f19(f19(x4092)),a41)
% 4.78/4.86 [441]~P6(x4411,f18(x4412),a41)+E(f18(f37(x4411,x4412,a41)),f18(x4412))
% 4.78/4.86 [442]~P6(x4421,f19(x4422),a41)+E(f19(f37(x4421,x4422,a41)),f19(x4422))
% 4.78/4.86 [458]P6(x4581,f11(x4582),a41)+~P6(x4581,f18(f4(a21,x4582)),a41)
% 4.78/4.86 [461]~P6(x4611,a5,a39)+P6(f32(a28,f32(a33,x4611)),f4(a21,x4612),a41)
% 4.78/4.86 [462]~P8(x4621,x4622,f43(a41,a1))+P8(f17(f19(x4621)),f17(f19(x4622)),f43(a41,a1))
% 4.78/4.86 [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)
% 4.78/4.86 [501]P6(x5011,f26(f19(x5012)),a42)+E(f19(f37(f32(a28,x5011),x5012,a41)),f37(f32(a28,x5011),f19(x5012),a41))
% 4.78/4.86 [518]~P6(x5181,f17(f19(x5182)),a41)+E(f17(f19(f37(x5181,x5182,a41))),f17(f19(x5182)))
% 4.78/4.86 [605]P6(f32(a28,x6051),f11(x6052),a41)+~P6(x6051,f38(a33,f35(f43(a39,a1)),a39,a42),a42)
% 4.78/4.86 [370]E(x3701,x3702)+~P7(x3701,x3702,x3703)
% 4.78/4.86 [351]E(x3511,x3512)+~E(f20(x3511,x3513),f20(x3512,x3513))
% 4.78/4.86 [375]~E(f9(x3753,x3751,x3752),x3753)+E(x3751,f3(x3752))
% 4.78/4.86 [376]~E(f9(x3761,x3763,x3762),x3763)+E(x3761,f3(x3762))
% 4.78/4.86 [380]~E(f9(x3803,x3801,x3802),f3(x3802))+E(x3801,f3(x3802))
% 4.78/4.86 [381]~E(f9(x3811,x3813,x3812),f3(x3812))+E(x3811,f3(x3812))
% 4.78/4.86 [382]P6(x3821,x3822,x3823)+~P17(f32(x3822,x3821))
% 4.78/4.86 [383]~P9(x3833)+E(f10(x3831,x3832,x3833),f10(x3832,x3831,x3833))
% 4.78/4.86 [384]~P10(x3843)+E(f10(x3841,x3842,x3843),f10(x3842,x3841,x3843))
% 4.78/4.86 [385]~P6(x3852,x3851,x3853)+P17(f32(x3851,x3852))
% 4.78/4.86 [388]~P6(x3881,x3882,x3883)+E(f37(x3881,x3882,x3883),x3882)
% 4.78/4.86 [402]~P9(x4023)+P8(x4021,f10(x4022,x4021,x4023),x4023)
% 4.78/4.86 [403]~P10(x4033)+P8(x4031,f10(x4032,x4031,x4033),x4033)
% 4.78/4.86 [404]~P9(x4043)+P8(x4041,f10(x4041,x4042,x4043),x4043)
% 4.78/4.86 [405]~P10(x4053)+P8(x4051,f10(x4051,x4052,x4053),x4053)
% 4.78/4.86 [423]P6(x4231,f18(x4232),a41)+~P6(f29(x4233,x4231),f18(x4232),a41)
% 4.78/4.86 [424]P6(x4241,f18(x4242),a41)+~P6(f30(x4243,x4241),f18(x4242),a41)
% 4.78/4.86 [425]P6(x4251,f18(x4252),a41)+~P6(f30(x4251,x4253),f18(x4252),a41)
% 4.78/4.86 [426]P6(x4261,f19(x4262),a41)+~P6(f30(x4263,x4261),f19(x4262),a41)
% 4.78/4.86 [427]P6(x4271,f19(x4272),a41)+~P6(f30(x4271,x4273),f19(x4272),a41)
% 4.78/4.86 [428]P6(x4281,f11(x4282),a41)+~P6(f30(x4283,x4281),f11(x4282),a41)
% 4.78/4.86 [429]P6(x4291,f11(x4292),a41)+~P6(f30(x4291,x4293),f11(x4292),a41)
% 4.78/4.86 [444]~P6(f29(x4441,x4443),x4442,a41)+P6(f32(a24,x4441),f26(x4442),a42)
% 4.78/4.86 [455]P6(x4551,f11(x4552),a41)+~P6(f7(x4553,x4551),f22(x4552,a2),a2)
% 4.78/4.86 [468]P6(x4681,f4(x4682,x4683),a41)+~P6(f7(x4682,x4681),f22(x4683,a2),a2)
% 4.78/4.86 [387]E(x3871,x3872)+~E(f15(x3871,f43(x3873,a1)),f15(x3872,f43(x3873,a1)))
% 4.78/4.86 [417]~E(f20(x4171,x4173),f16(x4172,f3(x4173),x4173))+E(x4171,f16(x4172,f3(x4173),x4173))
% 4.78/4.86 [418]~E(f16(x4182,f3(x4183),x4183),f20(x4181,x4183))+E(x4181,f16(x4182,f3(x4183),x4183))
% 4.78/4.86 [419]P6(x4191,x4192,x4193)+P6(x4191,f15(x4192,f43(x4193,a1)),x4193)
% 4.78/4.86 [433]~P8(x4331,x4332,f43(x4333,a1))+E(f10(x4331,x4332,f43(x4333,a1)),x4332)
% 4.78/4.86 [434]~P8(x4342,x4341,f43(x4343,a1))+E(f10(x4341,x4342,f43(x4343,a1)),x4341)
% 4.78/4.86 [435]P8(x4351,x4352,f43(x4353,a1))+~E(f10(x4351,x4352,f43(x4353,a1)),x4352)
% 4.78/4.86 [456]~P9(x4563)+E(f10(x4561,f10(x4561,x4562,x4563),x4563),f10(x4561,x4562,x4563))
% 4.78/4.86 [457]~P10(x4573)+E(f10(x4571,f10(x4571,x4572,x4573),x4573),f10(x4571,x4572,x4573))
% 4.78/4.86 [459]P6(x4591,f17(f19(x4592)),a41)+~P6(f30(x4593,x4591),f17(f19(x4592)),a41)
% 4.78/4.86 [460]P6(x4601,f17(f19(x4602)),a41)+~P6(f30(x4601,x4603),f17(f19(x4602)),a41)
% 4.78/4.86 [463]~E(f19(x4632),f19(x4633))+E(f19(f37(x4631,x4632,a41)),f19(f37(x4631,x4633,a41)))
% 4.78/4.86 [492]~P6(x4921,x4922,x4923)+~P6(x4921,f15(x4922,f43(x4923,a1)),x4923)
% 4.78/4.86 [523]~P8(x5233,x5231,f43(x5232,a1))+P8(f15(x5231,f43(x5232,a1)),f15(x5233,f43(x5232,a1)),f43(x5232,a1))
% 4.78/4.86 [528]~P6(x5281,f18(x5283),a41)+P6(x5281,f18(f37(x5282,x5283,a41)),a41)
% 4.78/4.86 [529]~P6(x5291,f19(x5293),a41)+P6(x5291,f19(f37(x5292,x5293,a41)),a41)
% 4.78/4.86 [550]P8(x5501,x5502,f43(x5503,a1))+~P8(f15(x5502,f43(x5503,a1)),f15(x5501,f43(x5503,a1)),f43(x5503,a1))
% 4.78/4.86 [562]~P6(x5621,x5623,a41)+P8(f18(f37(x5621,x5622,a41)),f10(f18(x5623),f18(x5622),f43(a41,a1)),f43(a41,a1))
% 4.78/4.86 [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)
% 4.78/4.86 [465]P6(x4651,a5,a39)+E(f4(a21,f16(f7(x4651,x4652),x4653,a2)),f4(a21,x4653))
% 4.78/4.86 [475]E(x4751,a21)+E(f4(x4751,f16(f6(x4751,x4752),x4753,a2)),f37(x4752,f4(x4751,x4753),a41))
% 4.78/4.86 [476]P6(x4761,f11(x4762),a41)+~P6(x4761,f18(f4(x4763,f3(a2))),a41)
% 4.78/4.86 [512]~P6(x5121,a5,a39)+E(f4(a21,f16(f7(x5121,x5122),x5123,a2)),f37(x5122,f4(a21,x5123),a41))
% 4.78/4.86 [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))
% 4.78/4.86 [554]~P6(x5541,f19(x5543),a41)+P6(x5541,f19(f10(x5542,x5543,f43(a41,a1))),a41)
% 4.78/4.86 [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)))
% 4.78/4.86 [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)
% 4.78/4.86 [621]~P6(x6212,x6213,a39)+P6(f32(a24,f32(f36(x6211),x6212)),f38(a24,f38(f36(x6211),x6213,a39,a42),a42,a42),a42)
% 4.78/4.86 [628]~P6(x6281,x6282,a42)+P6(f32(a28,x6281),f19(f10(f38(a28,x6282,a42,a41),x6283,f43(a41,a1))),a41)
% 4.78/4.86 [536]~P6(x5362,a5,a39)+P6(f32(a28,f32(a24,f32(f36(x5361),x5362))),f4(a21,x5363),a41)
% 4.78/4.86 [559]P6(x5592,a5,a39)+E(f4(a21,f9(x5591,f16(f7(x5592,x5593),f3(a2),a2),a2)),f4(a21,x5591))
% 4.78/4.86 [572]~P6(x5722,a5,a39)+E(f4(a21,f9(x5721,f16(f7(x5722,x5723),f3(a2),a2),a2)),f37(x5723,f4(a21,x5721),a41))
% 4.78/4.86 [346]E(x3461,x3462)+~E(f6(x3463,x3461),f6(x3464,x3462))
% 4.78/4.86 [347]E(x3471,x3472)+~E(f29(x3473,x3471),f29(x3474,x3472))
% 4.78/4.86 [348]E(x3481,x3482)+~E(f7(x3483,x3481),f7(x3484,x3482))
% 4.78/4.86 [349]E(x3491,x3492)+~E(f30(x3493,x3491),f30(x3494,x3492))
% 4.78/4.86 [350]E(x3501,x3502)+~E(f6(x3501,x3503),f6(x3502,x3504))
% 4.78/4.86 [352]E(x3521,x3522)+~E(f29(x3521,x3523),f29(x3522,x3524))
% 4.78/4.86 [353]E(x3531,x3532)+~E(f7(x3531,x3533),f7(x3532,x3534))
% 4.78/4.86 [354]E(x3541,x3542)+~E(f30(x3541,x3543),f30(x3542,x3544))
% 4.78/4.86 [413]E(x4131,x4132)+~E(f9(x4133,x4131,x4134),f9(x4133,x4132,x4134))
% 4.78/4.86 [414]E(x4141,x4142)+~E(f9(x4141,x4143,x4144),f9(x4142,x4143,x4144))
% 4.78/4.86 [474]~P6(x4741,x4743,x4744)+P6(x4741,f37(x4742,x4743,x4744),x4744)
% 4.78/4.86 [500]~P8(x5001,x5003,f43(x5004,a1))+P8(x5001,f37(x5002,x5003,x5004),f43(x5004,a1))
% 4.78/4.86 [526]P6(x5261,x5262,x5263)+~P8(f37(x5261,x5264,x5263),x5262,f43(x5263,a1))
% 4.78/4.86 [527]P6(x5271,f11(x5272),a41)+~P6(f8(x5273,x5274,x5271),f22(x5272,a2),a2)
% 4.78/4.86 [532]P6(x5321,f4(a21,x5322),a41)+~P6(f8(x5323,x5324,x5321),f22(x5322,a2),a2)
% 4.78/4.86 [533]P6(x5331,f4(x5332,x5333),a41)+~P6(f8(x5332,x5334,x5331),f22(x5333,a2),a2)
% 4.78/4.86 [534]~P8(f37(x5344,x5341,x5343),x5342,f43(x5343,a1))+P8(x5341,x5342,f43(x5343,a1))
% 4.78/4.86 [544]~P8(x5442,x5444,f43(x5443,a1))+P8(f37(x5441,x5442,x5443),f37(x5441,x5444,x5443),f43(x5443,a1))
% 4.78/4.86 [365]E(x3651,x3652)+~E(f32(f36(x3653),x3651),f32(f36(x3654),x3652))
% 4.78/4.86 [366]E(x3661,x3662)+~E(f32(f36(x3661),x3663),f32(f36(x3662),x3664))
% 4.78/4.86 [496]~P17(f32(x4962,x4964))+P17(f32(f37(x4961,x4962,x4963),x4964))
% 4.78/4.86 [497]~P6(x4971,x4973,x4974)+P6(x4971,f10(x4972,x4973,f43(x4974,a1)),x4974)
% 4.78/4.86 [498]~P6(x4981,x4982,x4984)+P6(x4981,f10(x4982,x4983,f43(x4984,a1)),x4984)
% 4.78/4.86 [514]~P9(x5144)+E(f10(x5141,f10(x5142,x5143,x5144),x5144),f10(x5142,f10(x5141,x5143,x5144),x5144))
% 4.78/4.86 [515]~P10(x5154)+E(f10(x5151,f10(x5152,x5153,x5154),x5154),f10(x5152,f10(x5151,x5153,x5154),x5154))
% 4.78/4.86 [516]~P9(x5163)+E(f10(f10(x5161,x5162,x5163),x5164,x5163),f10(x5161,f10(x5162,x5164,x5163),x5163))
% 4.78/4.86 [517]~P10(x5173)+E(f10(f10(x5171,x5172,x5173),x5174,x5173),f10(x5171,f10(x5172,x5174,x5173),x5173))
% 4.78/4.86 [539]~P6(f8(x5393,x5394,x5391),f22(x5392,a2),a2)+P6(x5391,f18(f4(a21,x5392)),a41)
% 4.78/4.86 [540]~P6(f8(x5403,x5404,x5401),f22(x5402,a2),a2)+P6(x5401,f19(f4(a21,x5402)),a41)
% 4.78/4.86 [552]P8(x5521,x5522,f43(x5523,a1))+~P8(f10(x5524,x5521,f43(x5523,a1)),x5522,f43(x5523,a1))
% 4.78/4.86 [553]P8(x5531,x5532,f43(x5533,a1))+~P8(f10(x5531,x5534,f43(x5533,a1)),x5532,f43(x5533,a1))
% 4.78/4.86 [596]E(x5961,x5962)+~P6(f32(f36(x5961),x5963),f38(f36(x5962),x5964,a39,a42),a42)
% 4.78/4.86 [602]P6(x6021,x6022,a39)+~P6(f32(f36(x6023),x6021),f38(f36(x6024),x6022,a39,a42),a42)
% 4.78/4.86 [616]~P5(x6161,x6162,x6163,x6164)+P6(f8(x6161,x6162,f49(x6161,x6162,x6163,x6164)),f22(x6164,a2),a2)
% 4.78/4.86 [502]~E(f20(x5021,x5023),f16(x5024,x5022,x5023))+E(x5021,f9(f20(x5022,x5023),f16(x5024,f3(x5023),x5023),x5023))
% 4.78/4.86 [537]~P17(f32(x5372,x5374))+P17(f32(f10(x5371,x5372,f43(x5373,a1)),x5374))
% 4.78/4.86 [538]~P17(f32(x5381,x5384))+P17(f32(f10(x5381,x5382,f43(x5383,a1)),x5384))
% 4.78/4.86 [633]E(x6331,x6332)+~P6(f32(a24,f32(f36(x6331),x6333)),f38(a24,f38(f36(x6332),x6334,a39,a42),a42,a42),a42)
% 4.78/4.86 [634]P6(x6341,x6342,a39)+~P6(f32(a24,f32(f36(x6343),x6341)),f38(a24,f38(f36(x6344),x6342,a39,a42),a42,a42),a42)
% 4.78/4.86 [593]~P6(x5931,f19(f4(a21,x5934)),a41)+P6(x5931,f19(f4(a21,f16(f6(x5932,x5933),x5934,a2))),a41)
% 4.78/4.86 [594]~P6(x5941,f19(f4(a21,x5944)),a41)+P6(x5941,f19(f4(a21,f16(f7(x5942,x5943),x5944,a2))),a41)
% 4.78/4.86 [412]E(x4121,x4122)+~E(f16(x4123,x4121,x4124),f16(x4125,x4122,x4124))
% 4.78/4.86 [416]E(x4161,x4162)+~E(f16(x4161,x4163,x4164),f16(x4162,x4165,x4164))
% 4.78/4.86 [583]~P6(x5832,x5833,x5834)+P6(f32(x5831,x5832),f38(x5831,x5833,x5834,x5835),x5835)
% 4.78/4.86 [611]~P8(x6112,x6115,f43(x6113,a1))+P8(f38(x6111,x6112,x6113,x6114),f38(x6111,x6115,x6113,x6114),f43(x6114,a1))
% 4.78/4.86 [595]~P6(x5952,x5953,x5954)+E(f37(f32(x5951,x5952),f38(x5951,x5953,x5954,x5955),x5955),f38(x5951,x5953,x5954,x5955))
% 4.78/4.86 [564]E(x5641,x5642)+~E(f9(x5643,f16(x5641,f3(x5644),x5644),x5644),f9(x5645,f16(x5642,f3(x5644),x5644),x5644))
% 4.78/4.86 [565]E(x5651,x5652)+~E(f9(x5651,f16(x5653,f3(x5654),x5654),x5654),f9(x5652,f16(x5655,f3(x5654),x5654),x5654))
% 4.78/4.86 [615]~P6(x6151,f19(f4(a21,x6155)),a41)+P6(x6151,f19(f4(a21,f16(f8(x6152,x6153,x6154),x6155,a2))),a41)
% 4.78/4.86 [410]E(x4101,x4102)+~E(f8(x4103,x4104,x4101),f8(x4105,x4106,x4102))
% 4.78/4.86 [411]E(x4111,x4112)+~E(f8(x4113,x4111,x4114),f8(x4115,x4112,x4116))
% 4.78/4.86 [415]E(x4151,x4152)+~E(f8(x4151,x4153,x4154),f8(x4152,x4155,x4156))
% 4.78/4.86 [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)
% 4.78/4.86 [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)
% 4.78/4.86 [524]~P6(x5241,a5,a39)+~P6(x5242,a34,f40(a2))+P6(f32(a28,f32(a33,x5241)),f18(f4(a21,x5242)),a41)
% 4.78/4.86 [525]~P6(x5251,a5,a39)+~P6(x5252,a34,f40(a2))+P6(f32(a28,f32(a33,x5251)),f19(f4(a21,x5252)),a41)
% 4.78/4.86 [545]P6(x5451,a5,a39)+~P6(x5452,a34,f40(a2))+~P6(f32(a28,f32(a33,x5451)),f18(f4(a21,x5452)),a41)
% 4.78/4.86 [546]P6(x5461,a5,a39)+~P6(x5462,a34,f40(a2))+~P6(f32(a28,f32(a33,x5461)),f19(f4(a21,x5462)),a41)
% 4.78/4.86 [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)
% 4.78/4.86 [386]P8(x3862,x3861,x3863)+~P12(x3863)+P8(x3861,x3862,x3863)
% 4.78/4.86 [360]~P2(x3603)+E(x3601,x3602)+~E(f15(x3601,x3603),f15(x3602,x3603))
% 4.78/4.86 [361]~P13(x3613)+E(x3611,x3612)+~E(f15(x3611,x3613),f15(x3612,x3613))
% 4.78/4.86 [392]~P9(x3923)+~P8(x3921,x3922,x3923)+E(f10(x3921,x3922,x3923),x3922)
% 4.78/4.86 [393]~P9(x3933)+~P8(x3932,x3931,x3933)+E(f10(x3931,x3932,x3933),x3931)
% 4.78/4.86 [394]~P9(x3943)+P8(x3941,x3942,x3943)+~E(f10(x3941,x3942,x3943),x3942)
% 4.78/4.86 [430]~P14(x4302)+~P8(x4303,x4301,x4302)+P8(f15(x4301,x4302),f15(x4303,x4302),x4302)
% 4.78/4.86 [449]~P14(x4493)+~P8(x4492,f15(x4491,x4493),x4493)+P8(x4491,f15(x4492,x4493),x4493)
% 4.78/4.86 [451]~P14(x4512)+~P8(f15(x4513,x4512),x4511,x4512)+P8(f15(x4511,x4512),x4513,x4512)
% 4.78/4.86 [464]~P14(x4643)+P8(x4641,x4642,x4643)+~P8(f15(x4642,x4643),f15(x4641,x4643),x4643)
% 4.78/4.86 [470]E(x4701,a21)+P6(x4702,f4(x4701,x4703),a41)+~P6(f6(x4701,x4702),f22(x4703,a2),a2)
% 4.78/4.86 [472]E(x4721,x4722)+~P8(x4721,x4722,f43(x4723,a1))+~P8(x4722,x4721,f43(x4723,a1))
% 4.78/4.86 [483]~P6(x4831,a31,a42)+P6(x4831,f26(x4832),a42)+~P6(f29(x4831,x4833),x4832,a41)
% 4.78/4.86 [484]P6(f30(x4841,x4842),f17(x4843),a41)+~P6(x4842,f17(x4843),a41)+~P6(x4841,f17(x4843),a41)
% 4.78/4.86 [485]P6(x4851,f17(x4852),a41)+P6(f29(x4853,x4851),x4852,a41)+~P6(f29(x4853,x4851),f17(x4852),a41)
% 4.78/4.86 [486]P6(x4861,f17(x4862),a41)+P6(f30(x4863,x4861),x4862,a41)+~P6(f30(x4863,x4861),f17(x4862),a41)
% 4.78/4.86 [487]P6(x4871,f17(x4872),a41)+P6(f30(x4871,x4873),x4872,a41)+~P6(f30(x4871,x4873),f17(x4872),a41)
% 4.78/4.86 [488]~P8(x4883,f17(x4882),f43(a41,a1))+P6(x4881,f17(x4882),a41)+~P6(x4881,f17(x4883),a41)
% 4.78/4.86 [489]~P8(x4893,f18(x4892),f43(a41,a1))+P6(x4891,f18(x4892),a41)+~P6(x4891,f18(x4893),a41)
% 4.78/4.86 [490]~P8(x4903,f19(x4902),f43(a41,a1))+P6(x4901,f19(x4902),a41)+~P6(x4901,f19(x4903),a41)
% 4.78/4.86 [495]~P6(f29(x4951,x4952),f17(x4953),a41)+P6(f29(x4951,x4952),x4953,a41)+P6(f32(a28,x4951),x4953,a41)
% 4.78/4.86 [499]P6(f29(x4991,x4992),f17(x4993),a41)+~P6(x4992,f17(x4993),a41)+~P6(f32(a28,x4991),x4993,a41)
% 4.78/4.86 [508]~P6(x5083,a5,a39)+~P6(f7(x5083,x5081),f22(x5082,a2),a2)+P6(x5081,f4(a21,x5082),a41)
% 4.78/4.86 [511]~P8(x5113,x5112,f43(a41,a1))+~P6(x5111,f19(x5113),a41)+E(f19(f37(x5111,x5112,a41)),f19(x5112))
% 4.78/4.86 [542]P6(x5421,f19(x5422),a41)+~P6(f29(x5423,x5421),f19(x5422),a41)+~P6(f32(a28,f32(a24,x5423)),f19(x5422),a41)
% 4.78/4.86 [555]~P6(x5553,a5,a39)+P6(x5551,f19(f4(a21,x5552)),a41)+~P6(f29(f32(a33,x5553),x5551),f19(f4(a21,x5552)),a41)
% 4.78/4.86 [556]P6(x5561,f19(x5562),a41)+~P6(f29(f32(a33,x5563),x5561),f19(x5562),a41)+~P6(f32(a28,f32(a33,x5563)),f19(x5562),a41)
% 4.78/4.86 [567]P6(x5671,f17(x5672),a41)+~P6(x5673,f17(x5672),a41)+~P6(x5671,f17(f37(x5673,x5672,a41)),a41)
% 4.78/4.86 [568]P6(x5681,f19(x5682),a41)+~P6(x5683,f19(x5682),a41)+~P6(x5681,f19(f37(x5683,x5682,a41)),a41)
% 4.78/4.86 [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)
% 4.78/4.86 [569]~P4(x5693)+~P6(x5692,f17(f19(f4(a21,x5693))),a41)+P4(f16(f8(a21,x5691,x5692),x5693,a2))
% 4.78/4.86 [584]P6(x5841,f18(x5842),a41)+P6(x5841,f18(x5843),a41)+~P6(x5841,f18(f10(x5842,x5843,f43(a41,a1))),a41)
% 4.78/4.86 [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)
% 4.78/4.86 [432]~P8(x4323,x4321,f43(x4324,a1))+P17(f32(x4321,x4322))+~P17(f32(x4323,x4322))
% 4.78/4.86 [477]~P9(x4774)+~P8(x4771,x4773,x4774)+P8(x4771,f10(x4772,x4773,x4774),x4774)
% 4.78/4.86 [478]~P9(x4784)+~P8(x4781,x4782,x4784)+P8(x4781,f10(x4782,x4783,x4784),x4784)
% 4.78/4.86 [482]P6(x4821,x4822,x4823)+~P6(x4821,x4824,x4823)+~P8(x4824,x4822,f43(x4823,a1))
% 4.78/4.86 [503]E(x5031,x5032)+P6(x5031,x5033,x5034)+~P6(x5031,f37(x5032,x5033,x5034),x5034)
% 4.78/4.86 [505]~P9(x5053)+P8(x5051,x5052,x5053)+~P8(f10(x5054,x5051,x5053),x5052,x5053)
% 4.78/4.86 [507]~P9(x5073)+P8(x5071,x5072,x5073)+~P8(f10(x5071,x5074,x5073),x5072,x5073)
% 4.78/4.86 [509]~P8(x5091,x5094,f43(x5093,a1))+~P8(x5094,x5092,f43(x5093,a1))+P8(x5091,x5092,f43(x5093,a1))
% 4.78/4.86 [541]~P6(x5411,x5414,x5413)+~P8(x5412,x5414,f43(x5413,a1))+P8(f37(x5411,x5412,x5413),x5414,f43(x5413,a1))
% 4.78/4.86 [549]P6(x5491,x5492,x5493)+~P8(x5492,f37(x5491,x5494,x5493),f43(x5493,a1))+P8(x5492,x5494,f43(x5493,a1))
% 4.78/4.86 [547]E(x5471,x5472)+P17(f32(x5473,x5471))+~P17(f32(f37(x5472,x5473,x5474),x5471))
% 4.78/4.86 [551]P6(x5511,x5512,x5513)+P6(x5511,x5514,x5513)+~P6(x5511,f10(x5512,x5514,f43(x5513,a1)),x5513)
% 4.78/4.86 [558]~P8(x5581,x5584,f43(x5583,a1))+~P8(x5582,x5584,f43(x5583,a1))+P8(f10(x5581,x5582,f43(x5583,a1)),x5584,f43(x5583,a1))
% 4.78/4.86 [563]E(x5631,x5632)+P6(x5631,f22(x5633,x5634),x5634)+~P6(x5631,f22(f16(x5632,x5633,x5634),x5634),x5634)
% 4.78/4.86 [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))))
% 4.78/4.86 [570]P17(f32(x5701,x5702))+P17(f32(x5703,x5702))+~P17(f32(f10(x5701,x5703,f43(x5704,a1)),x5702))
% 4.78/4.86 [592]~P6(x5924,f18(x5923),a41)+~P6(x5921,f18(f37(x5924,x5922,a41)),a41)+P6(x5921,f18(f10(x5922,x5923,f43(a41,a1))),a41)
% 4.78/4.86 [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))
% 4.78/4.86 [600]~P4(x6002)+P6(f27(x6001),f11(x6002),a41)+P4(f16(f8(x6003,a23,f30(f25(x6003),f30(f25(x6004),f27(x6001)))),x6002,a2))
% 4.78/4.86 [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))
% 4.78/4.86 [469]~P3(x4694)+P8(f32(x4691,x4692),f32(x4693,x4692),x4694)+~P8(x4691,x4693,f43(x4695,x4694))
% 4.78/4.86 [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))
% 4.78/4.86 [604]~P6(x6042,x6045,x6046)+P6(f32(x6041,x6042),x6043,x6044)+~P8(f38(x6041,x6045,x6046,x6044),x6043,f43(x6044,a1))
% 4.78/4.86 [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)
% 4.78/4.86 [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)
% 4.78/4.86 [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)
% 4.78/4.86 [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)
% 4.78/4.86 [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)
% 4.78/4.86 [422]~P8(x4222,x4221,x4223)+~P8(x4221,x4222,x4223)+E(x4221,x4222)+~P11(x4223)
% 4.78/4.86 [543]~P6(f29(x5433,x5431),f19(x5432),a41)+P6(x5431,f19(x5432),a41)+~P6(x5433,a31,a42)+~P6(f32(a28,x5433),f19(x5432),a41)
% 4.78/4.86 [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)
% 4.78/4.86 [466]~P11(x4663)+~P8(x4661,x4664,x4663)+P8(x4661,x4662,x4663)+~P8(x4664,x4662,x4663)
% 4.78/4.86 [467]~P16(x4673)+~P8(x4671,x4674,x4673)+P8(x4671,x4672,x4673)+~P8(x4674,x4672,x4673)
% 4.78/4.86 [491]P6(x4913,x4911,x4914)+E(x4911,x4912)+P6(x4913,x4912,x4914)+~E(f37(x4913,x4911,x4914),f37(x4913,x4912,x4914))
% 4.78/4.86 [521]~P9(x5213)+~P8(x5212,x5214,x5213)+~P8(x5211,x5214,x5213)+P8(f10(x5211,x5212,x5213),x5214,x5213)
% 4.78/4.86 [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)
% 4.78/4.86 [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)
% 4.78/4.86 [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)
% 4.78/4.86 [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)
% 4.78/4.86 [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)
% 4.78/4.86 [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)
% 4.78/4.86 [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)
% 4.78/4.86 [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)
% 4.78/4.86 [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))
% 4.78/4.86 [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)
% 4.78/4.86 [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)
% 4.78/4.86 [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)
% 4.78/4.86 [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)
% 4.78/4.86 [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)
% 4.78/4.86 [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)
% 4.78/4.86 [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)
% 4.78/4.86 [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))
% 4.78/4.86 [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))
% 4.78/4.86 [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))
% 4.78/4.86 [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))
% 4.78/4.86 [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)
% 4.78/4.86 [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)
% 4.78/4.86 [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)
% 4.78/4.86 [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)
% 4.78/4.86 [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))
% 4.78/4.86 [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)
% 4.78/4.86 [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)
% 4.78/4.86 [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)
% 4.78/4.86 [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)
% 4.78/4.86 [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)
% 4.78/4.86 [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)
% 4.78/4.86 [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)
% 4.78/4.86 [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)
% 4.78/4.86 [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)
% 4.78/4.86 [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)
% 4.78/4.86 [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)
% 4.78/4.86 %EqnAxiom
% 4.78/4.86 [1]E(x11,x11)
% 4.78/4.86 [2]E(x22,x21)+~E(x21,x22)
% 4.78/4.86 [3]E(x31,x33)+~E(x31,x32)+~E(x32,x33)
% 4.78/4.86 [4]~E(x41,x42)+E(f3(x41),f3(x42))
% 4.78/4.86 [5]~E(x51,x52)+E(f17(x51),f17(x52))
% 4.78/4.86 [6]~E(x61,x62)+E(f22(x61,x63),f22(x62,x63))
% 4.78/4.86 [7]~E(x71,x72)+E(f22(x73,x71),f22(x73,x72))
% 4.78/4.86 [8]~E(x81,x82)+E(f7(x81,x83),f7(x82,x83))
% 4.78/4.86 [9]~E(x91,x92)+E(f7(x93,x91),f7(x93,x92))
% 4.78/4.86 [10]~E(x101,x102)+E(f18(x101),f18(x102))
% 4.78/4.86 [11]~E(x111,x112)+E(f32(x111,x113),f32(x112,x113))
% 4.78/4.86 [12]~E(x121,x122)+E(f32(x123,x121),f32(x123,x122))
% 4.78/4.86 [13]~E(x131,x132)+E(f25(x131),f25(x132))
% 4.78/4.86 [14]~E(x141,x142)+E(f19(x141),f19(x142))
% 4.78/4.86 [15]~E(x151,x152)+E(f27(x151),f27(x152))
% 4.78/4.86 [16]~E(x161,x162)+E(f30(x161,x163),f30(x162,x163))
% 4.78/4.86 [17]~E(x171,x172)+E(f30(x173,x171),f30(x173,x172))
% 4.78/4.86 [18]~E(x181,x182)+E(f4(x181,x183),f4(x182,x183))
% 4.78/4.86 [19]~E(x191,x192)+E(f4(x193,x191),f4(x193,x192))
% 4.78/4.86 [20]~E(x201,x202)+E(f8(x201,x203,x204),f8(x202,x203,x204))
% 4.78/4.86 [21]~E(x211,x212)+E(f8(x213,x211,x214),f8(x213,x212,x214))
% 4.78/4.86 [22]~E(x221,x222)+E(f8(x223,x224,x221),f8(x223,x224,x222))
% 4.78/4.86 [23]~E(x231,x232)+E(f29(x231,x233),f29(x232,x233))
% 4.78/4.86 [24]~E(x241,x242)+E(f29(x243,x241),f29(x243,x242))
% 4.78/4.86 [25]~E(x251,x252)+E(f40(x251),f40(x252))
% 4.78/4.86 [26]~E(x261,x262)+E(f37(x261,x263,x264),f37(x262,x263,x264))
% 4.78/4.86 [27]~E(x271,x272)+E(f37(x273,x271,x274),f37(x273,x272,x274))
% 4.78/4.86 [28]~E(x281,x282)+E(f37(x283,x284,x281),f37(x283,x284,x282))
% 4.78/4.86 [29]~E(x291,x292)+E(f10(x291,x293,x294),f10(x292,x293,x294))
% 4.78/4.86 [30]~E(x301,x302)+E(f10(x303,x301,x304),f10(x303,x302,x304))
% 4.78/4.86 [31]~E(x311,x312)+E(f10(x313,x314,x311),f10(x313,x314,x312))
% 4.78/4.86 [32]~E(x321,x322)+E(f12(x321,x323),f12(x322,x323))
% 4.78/4.86 [33]~E(x331,x332)+E(f12(x333,x331),f12(x333,x332))
% 4.78/4.86 [34]~E(x341,x342)+E(f20(x341,x343),f20(x342,x343))
% 4.78/4.87 [35]~E(x351,x352)+E(f20(x353,x351),f20(x353,x352))
% 4.78/4.87 [36]~E(x361,x362)+E(f43(x361,x363),f43(x362,x363))
% 4.78/4.87 [37]~E(x371,x372)+E(f43(x373,x371),f43(x373,x372))
% 4.78/4.87 [38]~E(x381,x382)+E(f36(x381),f36(x382))
% 4.78/4.87 [39]~E(x391,x392)+E(f15(x391,x393),f15(x392,x393))
% 4.78/4.87 [40]~E(x401,x402)+E(f15(x403,x401),f15(x403,x402))
% 4.78/4.87 [41]~E(x411,x412)+E(f38(x411,x413,x414,x415),f38(x412,x413,x414,x415))
% 4.78/4.87 [42]~E(x421,x422)+E(f38(x423,x421,x424,x425),f38(x423,x422,x424,x425))
% 4.78/4.87 [43]~E(x431,x432)+E(f38(x433,x434,x431,x435),f38(x433,x434,x432,x435))
% 4.78/4.87 [44]~E(x441,x442)+E(f38(x443,x444,x445,x441),f38(x443,x444,x445,x442))
% 4.78/4.87 [45]~E(x451,x452)+E(f16(x451,x453,x454),f16(x452,x453,x454))
% 4.78/4.87 [46]~E(x461,x462)+E(f16(x463,x461,x464),f16(x463,x462,x464))
% 4.78/4.87 [47]~E(x471,x472)+E(f16(x473,x474,x471),f16(x473,x474,x472))
% 4.78/4.87 [48]~E(x481,x482)+E(f9(x481,x483,x484),f9(x482,x483,x484))
% 4.78/4.87 [49]~E(x491,x492)+E(f9(x493,x491,x494),f9(x493,x492,x494))
% 4.78/4.87 [50]~E(x501,x502)+E(f9(x503,x504,x501),f9(x503,x504,x502))
% 4.78/4.87 [51]~E(x511,x512)+E(f53(x511,x513),f53(x512,x513))
% 4.78/4.87 [52]~E(x521,x522)+E(f53(x523,x521),f53(x523,x522))
% 4.78/4.87 [53]~E(x531,x532)+E(f35(x531),f35(x532))
% 4.78/4.87 [54]~E(x541,x542)+E(f6(x541,x543),f6(x542,x543))
% 4.78/4.87 [55]~E(x551,x552)+E(f6(x553,x551),f6(x553,x552))
% 4.78/4.87 [56]~E(x561,x562)+E(f11(x561),f11(x562))
% 4.78/4.87 [57]~E(x571,x572)+E(f13(x571,x573),f13(x572,x573))
% 4.78/4.87 [58]~E(x581,x582)+E(f13(x583,x581),f13(x583,x582))
% 4.78/4.87 [59]~E(x591,x592)+E(f26(x591),f26(x592))
% 4.78/4.87 [60]~E(x601,x602)+E(f49(x601,x603,x604,x605),f49(x602,x603,x604,x605))
% 4.78/4.87 [61]~E(x611,x612)+E(f49(x613,x611,x614,x615),f49(x613,x612,x614,x615))
% 4.78/4.87 [62]~E(x621,x622)+E(f49(x623,x624,x621,x625),f49(x623,x624,x622,x625))
% 4.78/4.87 [63]~E(x631,x632)+E(f49(x633,x634,x635,x631),f49(x633,x634,x635,x632))
% 4.78/4.87 [64]~E(x641,x642)+E(f50(x641,x643),f50(x642,x643))
% 4.78/4.87 [65]~E(x651,x652)+E(f50(x653,x651),f50(x653,x652))
% 4.78/4.87 [66]~E(x661,x662)+E(f54(x661,x663,x664),f54(x662,x663,x664))
% 4.78/4.87 [67]~E(x671,x672)+E(f54(x673,x671,x674),f54(x673,x672,x674))
% 4.78/4.87 [68]~E(x681,x682)+E(f54(x683,x684,x681),f54(x683,x684,x682))
% 4.78/4.87 [69]~E(x691,x692)+E(f55(x691,x693,x694),f55(x692,x693,x694))
% 4.78/4.87 [70]~E(x701,x702)+E(f55(x703,x701,x704),f55(x703,x702,x704))
% 4.78/4.87 [71]~E(x711,x712)+E(f55(x713,x714,x711),f55(x713,x714,x712))
% 4.78/4.87 [72]~E(x721,x722)+E(f52(x721,x723,x724,x725),f52(x722,x723,x724,x725))
% 4.78/4.87 [73]~E(x731,x732)+E(f52(x733,x731,x734,x735),f52(x733,x732,x734,x735))
% 4.78/4.87 [74]~E(x741,x742)+E(f52(x743,x744,x741,x745),f52(x743,x744,x742,x745))
% 4.78/4.87 [75]~E(x751,x752)+E(f52(x753,x754,x755,x751),f52(x753,x754,x755,x752))
% 4.78/4.87 [76]~E(x761,x762)+E(f51(x761,x763,x764),f51(x762,x763,x764))
% 4.78/4.87 [77]~E(x771,x772)+E(f51(x773,x771,x774),f51(x773,x772,x774))
% 4.78/4.87 [78]~E(x781,x782)+E(f51(x783,x784,x781),f51(x783,x784,x782))
% 4.78/4.87 [79]~E(x791,x792)+E(f14(x791,x793,x794),f14(x792,x793,x794))
% 4.78/4.87 [80]~E(x801,x802)+E(f14(x803,x801,x804),f14(x803,x802,x804))
% 4.78/4.87 [81]~E(x811,x812)+E(f14(x813,x814,x811),f14(x813,x814,x812))
% 4.78/4.87 [82]~E(x821,x822)+E(f56(x821,x823,x824),f56(x822,x823,x824))
% 4.78/4.87 [83]~E(x831,x832)+E(f56(x833,x831,x834),f56(x833,x832,x834))
% 4.78/4.87 [84]~E(x841,x842)+E(f56(x843,x844,x841),f56(x843,x844,x842))
% 4.78/4.87 [85]~P1(x851)+P1(x852)+~E(x851,x852)
% 4.78/4.87 [86]~P9(x861)+P9(x862)+~E(x861,x862)
% 4.78/4.87 [87]P6(x872,x873,x874)+~E(x871,x872)+~P6(x871,x873,x874)
% 4.78/4.87 [88]P6(x883,x882,x884)+~E(x881,x882)+~P6(x883,x881,x884)
% 4.78/4.87 [89]P6(x893,x894,x892)+~E(x891,x892)+~P6(x893,x894,x891)
% 4.78/4.87 [90]~P10(x901)+P10(x902)+~E(x901,x902)
% 4.78/4.87 [91]P8(x912,x913,x914)+~E(x911,x912)+~P8(x911,x913,x914)
% 4.78/4.87 [92]P8(x923,x922,x924)+~E(x921,x922)+~P8(x923,x921,x924)
% 4.78/4.87 [93]P8(x933,x934,x932)+~E(x931,x932)+~P8(x933,x934,x931)
% 4.78/4.87 [94]~P2(x941)+P2(x942)+~E(x941,x942)
% 4.78/4.87 [95]~P3(x951)+P3(x952)+~E(x951,x952)
% 4.78/4.87 [96]~P17(x961)+P17(x962)+~E(x961,x962)
% 4.78/4.87 [97]~P11(x971)+P11(x972)+~E(x971,x972)
% 4.78/4.87 [98]~P16(x981)+P16(x982)+~E(x981,x982)
% 4.78/4.87 [99]~P15(x991)+P15(x992)+~E(x991,x992)
% 4.78/4.87 [100]~P13(x1001)+P13(x1002)+~E(x1001,x1002)
% 4.78/4.87 [101]~P12(x1011)+P12(x1012)+~E(x1011,x1012)
% 4.78/4.87 [102]P5(x1022,x1023,x1024,x1025)+~E(x1021,x1022)+~P5(x1021,x1023,x1024,x1025)
% 4.78/4.87 [103]P5(x1033,x1032,x1034,x1035)+~E(x1031,x1032)+~P5(x1033,x1031,x1034,x1035)
% 4.78/4.87 [104]P5(x1043,x1044,x1042,x1045)+~E(x1041,x1042)+~P5(x1043,x1044,x1041,x1045)
% 4.78/4.87 [105]P5(x1053,x1054,x1055,x1052)+~E(x1051,x1052)+~P5(x1053,x1054,x1055,x1051)
% 4.78/4.87 [106]~P4(x1061)+P4(x1062)+~E(x1061,x1062)
% 4.78/4.87 [107]~P14(x1071)+P14(x1072)+~E(x1071,x1072)
% 4.78/4.87 [108]P7(x1082,x1083,x1084)+~E(x1081,x1082)+~P7(x1081,x1083,x1084)
% 4.78/4.87 [109]P7(x1093,x1092,x1094)+~E(x1091,x1092)+~P7(x1093,x1091,x1094)
% 4.78/4.87 [110]P7(x1103,x1104,x1102)+~E(x1101,x1102)+~P7(x1103,x1104,x1101)
% 4.78/4.87
% 4.78/4.87 %-------------------------------------------
% 4.78/4.87 cnf(665,plain,
% 4.78/4.87 (E(x6651,f20(f20(x6651,x6652),x6652))),
% 4.78/4.87 inference(scs_inference,[],[136,2])).
% 4.78/4.87 cnf(666,plain,
% 4.78/4.87 (~P7(a23,a21,x6661)),
% 4.78/4.87 inference(scs_inference,[],[274,136,2,370])).
% 4.78/4.87 cnf(668,plain,
% 4.78/4.87 (~P6(f32(a28,a45),f4(a21,a44),a41)),
% 4.78/4.87 inference(scs_inference,[],[274,318,136,2,370,391])).
% 4.78/4.87 cnf(670,plain,
% 4.78/4.87 (~P6(f27(x6701),f4(x6702,f3(a2)),a41)),
% 4.78/4.87 inference(scs_inference,[],[274,318,136,319,2,370,391,390])).
% 4.78/4.87 cnf(672,plain,
% 4.78/4.87 (~E(a33,f36(x6721))),
% 4.78/4.87 inference(scs_inference,[],[274,318,136,297,319,2,370,391,390,11])).
% 4.78/4.87 cnf(674,plain,
% 4.78/4.87 (P6(f29(a45,f30(f27(a48),f27(a48))),f11(a44),a41)),
% 4.78/4.87 inference(scs_inference,[],[274,318,198,136,297,319,2,370,391,390,11,458])).
% 4.78/4.87 cnf(676,plain,
% 4.78/4.87 (~P6(f27(x6761),f19(f4(x6762,f3(a2))),a41)),
% 4.78/4.87 inference(scs_inference,[],[274,318,198,136,297,319,2,370,391,390,11,458,397])).
% 4.78/4.87 cnf(681,plain,
% 4.78/4.87 (P6(x6811,f22(f9(x6812,f16(x6811,x6813,x6814),x6814),x6814),x6814)),
% 4.78/4.87 inference(rename_variables,[],[260])).
% 4.78/4.87 cnf(684,plain,
% 4.78/4.87 (P6(x6841,f22(f9(x6842,f16(x6841,x6843,x6844),x6844),x6844),x6844)),
% 4.78/4.87 inference(rename_variables,[],[260])).
% 4.78/4.87 cnf(689,plain,
% 4.78/4.87 (~P6(f27(x6891),f18(f4(x6892,f3(a2))),a41)),
% 4.78/4.87 inference(rename_variables,[],[319])).
% 4.78/4.87 cnf(691,plain,
% 4.78/4.87 (P6(x6911,f11(f9(x6912,f16(f8(x6913,x6914,x6911),x6915,a2),a2)),a41)),
% 4.78/4.87 inference(scs_inference,[],[274,318,198,136,209,260,681,684,297,319,2,370,391,390,11,458,397,382,622,618,540,539,527])).
% 4.78/4.87 cnf(692,plain,
% 4.78/4.87 (P6(x6921,f22(f9(x6922,f16(x6921,x6923,x6924),x6924),x6924),x6924)),
% 4.78/4.87 inference(rename_variables,[],[260])).
% 4.78/4.87 cnf(694,plain,
% 4.78/4.87 (P6(x6941,f19(f37(x6941,x6942,a41)),a41)),
% 4.78/4.87 inference(scs_inference,[],[274,318,198,159,136,209,260,681,684,297,319,2,370,391,390,11,458,397,382,622,618,540,539,527,526])).
% 4.78/4.87 cnf(695,plain,
% 4.78/4.87 (P8(x6951,f19(x6951),f43(a41,a1))),
% 4.78/4.87 inference(rename_variables,[],[159])).
% 4.78/4.87 cnf(697,plain,
% 4.78/4.87 (P6(x6971,f11(f9(x6972,f16(f7(x6973,x6971),x6974,a2),a2)),a41)),
% 4.78/4.87 inference(scs_inference,[],[274,318,198,159,136,209,260,681,684,692,297,319,2,370,391,390,11,458,397,382,622,618,540,539,527,526,455])).
% 4.78/4.87 cnf(698,plain,
% 4.78/4.87 (P6(x6981,f22(f9(x6982,f16(x6981,x6983,x6984),x6984),x6984),x6984)),
% 4.78/4.87 inference(rename_variables,[],[260])).
% 4.78/4.87 cnf(700,plain,
% 4.78/4.87 (~P6(f30(f27(x7001),x7002),f11(f3(a2)),a41)),
% 4.78/4.87 inference(scs_inference,[],[274,318,198,159,136,209,260,681,684,692,315,297,319,2,370,391,390,11,458,397,382,622,618,540,539,527,526,455,429])).
% 4.78/4.87 cnf(704,plain,
% 4.78/4.87 (~P6(f30(f32(a28,a45),x7041),f19(f4(a21,a44)),a41)),
% 4.78/4.87 inference(scs_inference,[],[274,318,198,159,136,209,260,681,684,692,315,297,319,2,370,391,390,11,458,397,382,622,618,540,539,527,526,455,429,428,427])).
% 4.78/4.87 cnf(706,plain,
% 4.78/4.87 (~P6(f30(x7061,f32(a28,a45)),f19(f4(a21,a44)),a41)),
% 4.78/4.87 inference(scs_inference,[],[274,318,198,159,136,209,260,681,684,692,315,297,319,2,370,391,390,11,458,397,382,622,618,540,539,527,526,455,429,428,427,426])).
% 4.78/4.87 cnf(712,plain,
% 4.78/4.87 (~P6(f27(x7121),f17(f38(a28,x7122,a42,a41)),a41)),
% 4.78/4.87 inference(scs_inference,[],[274,318,198,159,323,136,209,260,681,684,692,315,297,319,689,2,370,391,390,11,458,397,382,622,618,540,539,527,526,455,429,428,427,426,425,424,401])).
% 4.78/4.87 cnf(714,plain,
% 4.78/4.87 (~E(f9(f16(x7141,f3(x7142),x7143),x7144,x7142),x7144)),
% 4.78/4.87 inference(scs_inference,[],[274,318,198,303,159,323,136,209,260,681,684,692,315,297,319,689,2,370,391,390,11,458,397,382,622,618,540,539,527,526,455,429,428,427,426,425,424,401,376])).
% 4.78/4.87 cnf(715,plain,
% 4.78/4.87 (~E(f16(x7151,x7152,x7153),x7152)),
% 4.78/4.87 inference(rename_variables,[],[303])).
% 4.78/4.87 cnf(717,plain,
% 4.78/4.87 (~E(f9(x7171,f16(x7172,f3(x7173),x7174),x7173),x7171)),
% 4.78/4.87 inference(scs_inference,[],[274,318,198,303,715,159,323,136,209,260,681,684,692,315,297,319,689,2,370,391,390,11,458,397,382,622,618,540,539,527,526,455,429,428,427,426,425,424,401,376,375])).
% 4.78/4.87 cnf(718,plain,
% 4.78/4.87 (~E(f16(x7181,x7182,x7183),x7182)),
% 4.78/4.87 inference(rename_variables,[],[303])).
% 4.78/4.87 cnf(721,plain,
% 4.78/4.87 (P6(f25(x7211),f17(x7212),a41)),
% 4.78/4.87 inference(rename_variables,[],[150])).
% 4.78/4.87 cnf(724,plain,
% 4.78/4.87 (P8(x7241,f19(x7241),f43(a41,a1))),
% 4.78/4.87 inference(rename_variables,[],[159])).
% 4.78/4.87 cnf(727,plain,
% 4.78/4.87 (P8(x7271,f19(x7271),f43(a41,a1))),
% 4.78/4.87 inference(rename_variables,[],[159])).
% 4.78/4.87 cnf(730,plain,
% 4.78/4.87 (P8(x7301,f19(x7301),f43(a41,a1))),
% 4.78/4.87 inference(rename_variables,[],[159])).
% 4.78/4.87 cnf(735,plain,
% 4.78/4.87 (~E(f16(x7351,x7352,x7353),x7352)),
% 4.78/4.87 inference(rename_variables,[],[303])).
% 4.78/4.87 cnf(738,plain,
% 4.78/4.87 (~E(f16(x7381,x7382,x7383),x7382)),
% 4.78/4.87 inference(rename_variables,[],[303])).
% 4.78/4.87 cnf(741,plain,
% 4.78/4.87 (~E(f16(x7411,x7412,x7413),x7412)),
% 4.78/4.87 inference(rename_variables,[],[303])).
% 4.78/4.87 cnf(744,plain,
% 4.78/4.87 (P6(f25(x7441),f17(x7442),a41)),
% 4.78/4.87 inference(rename_variables,[],[150])).
% 4.78/4.87 cnf(747,plain,
% 4.78/4.87 (P6(x7471,f22(f9(x7472,f16(x7471,x7473,x7474),x7474),x7474),x7474)),
% 4.78/4.87 inference(rename_variables,[],[260])).
% 4.78/4.87 cnf(750,plain,
% 4.78/4.87 (P6(x7501,f22(f9(x7502,f16(x7501,x7503,x7504),x7504),x7504),x7504)),
% 4.78/4.87 inference(rename_variables,[],[260])).
% 4.78/4.87 cnf(752,plain,
% 4.78/4.87 (P8(f37(f29(x7521,x7522),f19(f37(x7522,f37(f32(a28,f32(a24,x7521)),x7523,a41),a41)),a41),f19(f37(f29(x7521,x7522),f37(f32(a28,f32(a24,x7521)),x7523,a41),a41)),f43(a41,a1))),
% 4.78/4.87 inference(scs_inference,[],[274,318,198,303,715,718,735,738,159,695,724,727,730,150,721,323,136,209,260,681,684,692,698,747,315,297,319,689,2,370,391,390,11,458,397,382,622,618,540,539,527,526,455,429,428,427,426,425,424,401,376,375,609,553,552,534,500,381,380,334,571,533,468,608])).
% 4.78/4.87 cnf(757,plain,
% 4.78/4.87 (~E(f16(x7571,x7572,x7573),x7572)),
% 4.78/4.87 inference(rename_variables,[],[303])).
% 4.78/4.87 cnf(762,plain,
% 4.78/4.87 (~E(f20(f16(x7621,f9(f20(x7622,x7623),f16(x7624,f3(x7623),x7623),x7623),x7625),x7623),f16(x7624,x7622,x7623))),
% 4.78/4.87 inference(scs_inference,[],[274,318,198,303,715,718,735,738,741,757,159,695,724,727,730,150,721,323,136,209,260,681,684,692,698,747,315,297,319,689,252,2,370,391,390,11,458,397,382,622,618,540,539,527,526,455,429,428,427,426,425,424,401,376,375,609,553,552,534,500,381,380,334,571,533,468,608,544,418,417,502])).
% 4.78/4.87 cnf(763,plain,
% 4.78/4.87 (~E(f16(x7631,x7632,x7633),x7632)),
% 4.78/4.87 inference(rename_variables,[],[303])).
% 4.78/4.87 cnf(766,plain,
% 4.78/4.87 (P4(f20(f20(f3(a2),x7661),x7661))),
% 4.78/4.87 inference(scs_inference,[],[141,274,125,318,198,303,715,718,735,738,741,757,159,695,724,727,730,150,721,323,136,209,260,681,684,692,698,747,315,297,319,689,252,2,370,391,390,11,458,397,382,622,618,540,539,527,526,455,429,428,427,426,425,424,401,376,375,609,553,552,534,500,381,380,334,571,533,468,608,544,418,417,502,108,106])).
% 4.78/4.87 cnf(768,plain,
% 4.78/4.87 (P8(x7681,x7681,f43(x7682,a1))),
% 4.78/4.87 inference(rename_variables,[],[155])).
% 4.78/4.87 cnf(769,plain,
% 4.78/4.87 (E(f20(f20(x7691,x7692),x7692),x7691)),
% 4.78/4.87 inference(rename_variables,[],[136])).
% 4.78/4.87 cnf(771,plain,
% 4.78/4.87 (P8(x7711,x7711,f43(x7712,a1))),
% 4.78/4.87 inference(rename_variables,[],[155])).
% 4.78/4.87 cnf(774,plain,
% 4.78/4.87 (~E(f18(f4(a21,a44)),f38(a28,x7741,a42,a41))),
% 4.78/4.87 inference(scs_inference,[],[141,274,125,318,198,155,768,303,715,718,735,738,741,757,159,695,724,727,730,150,721,164,323,324,136,769,209,260,681,684,692,698,747,315,297,319,689,252,2,370,391,390,11,458,397,382,622,618,540,539,527,526,455,429,428,427,426,425,424,401,376,375,609,553,552,534,500,381,380,334,571,533,468,608,544,418,417,502,108,106,92,91,89,88])).
% 4.78/4.87 cnf(775,plain,
% 4.78/4.87 (~P6(f29(x7751,x7752),f38(a28,x7753,a42,a41),a41)),
% 4.78/4.87 inference(rename_variables,[],[324])).
% 4.78/4.87 cnf(778,plain,
% 4.78/4.87 (E(f20(f20(x7781,x7782),x7782),x7781)),
% 4.78/4.87 inference(rename_variables,[],[136])).
% 4.78/4.87 cnf(783,plain,
% 4.78/4.87 (P8(x7831,f19(x7831),f43(a41,a1))),
% 4.78/4.87 inference(rename_variables,[],[159])).
% 4.78/4.87 cnf(789,plain,
% 4.78/4.87 (P6(x7891,f22(f9(x7892,f16(x7891,x7893,x7894),x7894),x7894),x7894)),
% 4.78/4.87 inference(rename_variables,[],[260])).
% 4.78/4.87 cnf(792,plain,
% 4.78/4.87 (~P8(f4(a21,a44),f18(f4(x7921,f3(a2))),f43(a41,a1))),
% 4.78/4.87 inference(scs_inference,[],[142,141,300,139,274,125,318,198,155,768,303,715,718,735,738,741,757,159,695,724,727,730,190,150,721,164,323,324,136,769,209,170,260,681,684,692,698,747,750,315,297,259,319,689,320,252,2,370,391,390,11,458,397,382,622,618,540,539,527,526,455,429,428,427,426,425,424,401,376,375,609,553,552,534,500,381,380,334,571,533,468,608,544,418,417,502,108,106,92,91,89,88,87,3,482,472,545,644,489])).
% 4.78/4.87 cnf(796,plain,
% 4.78/4.87 (P6(f32(a33,x7961),a31,a42)),
% 4.78/4.87 inference(rename_variables,[],[153])).
% 4.78/4.87 cnf(798,plain,
% 4.78/4.87 (~P6(f7(a21,f32(a28,a45)),f22(a44,a2),a2)),
% 4.78/4.87 inference(scs_inference,[],[142,141,300,139,274,125,318,198,216,155,768,303,715,718,735,738,741,757,153,159,695,724,727,730,190,150,721,164,323,324,136,769,209,170,260,681,684,692,698,747,750,315,297,259,319,689,320,252,2,370,391,390,11,458,397,382,622,618,540,539,527,526,455,429,428,427,426,425,424,401,376,375,609,553,552,534,500,381,380,334,571,533,468,608,544,418,417,502,108,106,92,91,89,88,87,3,482,472,545,644,489,483,508])).
% 4.78/4.87 cnf(801,plain,
% 4.78/4.87 (P6(x8011,f22(f9(x8012,f16(x8011,x8013,x8014),x8014),x8014),x8014)),
% 4.78/4.87 inference(rename_variables,[],[260])).
% 4.78/4.87 cnf(804,plain,
% 4.78/4.87 (P6(f16(f8(a21,x8041,f25(x8042)),a44,a2),a34,f40(a2))),
% 4.78/4.87 inference(scs_inference,[],[142,141,300,139,274,125,318,198,216,155,768,303,715,718,735,738,741,757,763,153,159,695,724,727,730,190,150,721,744,164,323,324,136,769,209,170,260,681,684,692,698,747,750,789,315,297,259,319,689,320,252,2,370,391,390,11,458,397,382,622,618,540,539,527,526,455,429,428,427,426,425,424,401,376,375,609,553,552,534,500,381,380,334,571,533,468,608,544,418,417,502,108,106,92,91,89,88,87,3,482,472,545,644,489,483,508,637,586])).
% 4.78/4.87 cnf(805,plain,
% 4.78/4.87 (P6(f25(x8051),f17(x8052),a41)),
% 4.78/4.87 inference(rename_variables,[],[150])).
% 4.78/4.87 cnf(809,plain,
% 4.78/4.87 (P6(f29(x8091,f25(x8092)),f17(f37(f32(a28,x8091),x8093,a41)),a41)),
% 4.78/4.87 inference(scs_inference,[],[142,141,300,139,274,125,318,198,216,183,155,768,771,303,715,718,735,738,741,757,763,153,159,695,724,727,730,190,150,721,744,805,164,323,324,136,769,209,170,260,681,684,692,698,747,750,789,315,297,259,319,689,320,252,2,370,391,390,11,458,397,382,622,618,540,539,527,526,455,429,428,427,426,425,424,401,376,375,609,553,552,534,500,381,380,334,571,533,468,608,544,418,417,502,108,106,92,91,89,88,87,3,482,472,545,644,489,483,508,637,586,604,499])).
% 4.78/4.87 cnf(810,plain,
% 4.78/4.87 (P6(x8101,f37(x8101,x8102,x8103),x8103)),
% 4.78/4.87 inference(rename_variables,[],[183])).
% 4.78/4.87 cnf(811,plain,
% 4.78/4.87 (P6(f25(x8111),f17(x8112),a41)),
% 4.78/4.87 inference(rename_variables,[],[150])).
% 4.78/4.87 cnf(814,plain,
% 4.78/4.87 (P6(x8141,f22(f9(x8142,f16(x8141,x8143,x8144),x8144),x8144),x8144)),
% 4.78/4.87 inference(rename_variables,[],[260])).
% 4.78/4.87 cnf(818,plain,
% 4.78/4.87 (~P6(f29(x8181,f27(x8182)),f17(f38(a28,x8183,a42,a41)),a41)),
% 4.78/4.87 inference(scs_inference,[],[142,141,300,139,274,125,318,198,216,183,155,768,771,303,715,718,735,738,741,757,763,153,159,695,724,727,730,190,150,721,744,805,164,323,324,775,136,769,209,170,260,681,684,692,698,747,750,789,801,315,297,259,319,689,320,252,2,370,391,390,11,458,397,382,622,618,540,539,527,526,455,429,428,427,426,425,424,401,376,375,609,553,552,534,500,381,380,334,571,533,468,608,544,418,417,502,108,106,92,91,89,88,87,3,482,472,545,644,489,483,508,637,586,604,499,470,541,485])).
% 4.78/4.87 cnf(823,plain,
% 4.78/4.87 (P8(x8231,x8231,a42)),
% 4.78/4.87 inference(scs_inference,[],[142,141,300,120,122,139,274,125,318,198,216,183,155,768,771,303,715,718,735,738,741,757,763,153,159,695,724,727,730,190,150,721,744,805,164,323,324,775,136,769,209,170,260,681,684,692,698,747,750,789,801,315,297,259,319,689,320,252,2,370,391,390,11,458,397,382,622,618,540,539,527,526,455,429,428,427,426,425,424,401,376,375,609,553,552,534,500,381,380,334,571,533,468,608,544,418,417,502,108,106,92,91,89,88,87,3,482,472,545,644,489,483,508,637,586,604,499,470,541,485,363,362])).
% 4.78/4.87 cnf(833,plain,
% 4.78/4.87 (~P6(f32(a24,f32(a24,f32(f36(x8331),x8332))),a31,a42)),
% 4.78/4.87 inference(scs_inference,[],[142,141,300,120,122,139,274,125,318,198,216,183,155,768,771,303,715,718,735,738,741,757,763,153,159,695,724,727,730,190,150,721,744,805,164,323,324,775,136,769,209,170,260,681,684,692,698,747,750,789,801,315,297,321,259,319,689,320,252,2,370,391,390,11,458,397,382,622,618,540,539,527,526,455,429,428,427,426,425,424,401,376,375,609,553,552,534,500,381,380,334,571,533,468,608,544,418,417,502,108,106,92,91,89,88,87,3,482,472,545,644,489,483,508,637,586,604,499,470,541,485,363,362,572,559,536,465,406])).
% 4.78/4.87 cnf(837,plain,
% 4.78/4.87 (P8(x8371,f10(x8371,x8372,a42),a42)),
% 4.78/4.87 inference(scs_inference,[],[142,141,300,113,114,120,122,139,274,125,318,198,216,183,155,768,771,303,715,718,735,738,741,757,763,153,159,695,724,727,730,190,150,721,744,805,164,323,324,775,136,769,209,170,260,681,684,692,698,747,750,789,801,315,297,321,259,319,689,320,252,2,370,391,390,11,458,397,382,622,618,540,539,527,526,455,429,428,427,426,425,424,401,376,375,609,553,552,534,500,381,380,334,571,533,468,608,544,418,417,502,108,106,92,91,89,88,87,3,482,472,545,644,489,483,508,637,586,604,499,470,541,485,363,362,572,559,536,465,406,405,404])).
% 4.78/4.87 cnf(841,plain,
% 4.78/4.87 (P8(x8411,f10(x8412,x8411,a42),a42)),
% 4.78/4.87 inference(scs_inference,[],[142,141,300,113,114,120,122,139,274,125,318,198,216,183,155,768,771,303,715,718,735,738,741,757,763,153,159,695,724,727,730,190,150,721,744,805,164,323,324,775,136,769,209,170,260,681,684,692,698,747,750,789,801,315,297,321,259,319,689,320,252,2,370,391,390,11,458,397,382,622,618,540,539,527,526,455,429,428,427,426,425,424,401,376,375,609,553,552,534,500,381,380,334,571,533,468,608,544,418,417,502,108,106,92,91,89,88,87,3,482,472,545,644,489,483,508,637,586,604,499,470,541,485,363,362,572,559,536,465,406,405,404,403,402])).
% 4.78/4.87 cnf(843,plain,
% 4.78/4.87 (P6(f32(a24,f32(a33,x8431)),a31,a42)),
% 4.78/4.87 inference(scs_inference,[],[142,141,300,113,114,120,122,139,274,125,318,198,216,183,155,768,771,303,715,718,735,738,741,757,763,153,796,159,695,724,727,730,190,150,721,744,805,164,323,324,775,136,769,209,170,260,681,684,692,698,747,750,789,801,315,297,321,259,319,689,320,252,2,370,391,390,11,458,397,382,622,618,540,539,527,526,455,429,428,427,426,425,424,401,376,375,609,553,552,534,500,381,380,334,571,533,468,608,544,418,417,502,108,106,92,91,89,88,87,3,482,472,545,644,489,483,508,637,586,604,499,470,541,485,363,362,572,559,536,465,406,405,404,403,402,398])).
% 4.78/4.87 cnf(845,plain,
% 4.78/4.87 (P6(f29(a45,f30(f27(a48),f27(a48))),f17(f18(f4(a21,a44))),a41)),
% 4.78/4.87 inference(scs_inference,[],[142,141,300,113,114,120,122,139,274,125,318,198,216,183,155,768,771,303,715,718,735,738,741,757,763,153,796,159,695,724,727,730,190,150,721,744,805,164,323,324,775,136,769,209,170,260,681,684,692,698,747,750,789,801,315,297,321,259,319,689,320,252,2,370,391,390,11,458,397,382,622,618,540,539,527,526,455,429,428,427,426,425,424,401,376,375,609,553,552,534,500,381,380,334,571,533,468,608,544,418,417,502,108,106,92,91,89,88,87,3,482,472,545,644,489,483,508,637,586,604,499,470,541,485,363,362,572,559,536,465,406,405,404,403,402,398,389])).
% 4.78/4.87 cnf(851,plain,
% 4.78/4.87 (P16(f43(x8511,a1))),
% 4.78/4.87 inference(scs_inference,[],[142,141,300,112,113,114,120,121,122,139,274,125,318,198,216,183,155,768,771,303,715,718,735,738,741,757,763,153,796,159,695,724,727,730,190,150,721,744,805,164,323,324,775,136,769,209,170,260,681,684,692,698,747,750,789,801,315,297,321,259,319,689,320,252,2,370,391,390,11,458,397,382,622,618,540,539,527,526,455,429,428,427,426,425,424,401,376,375,609,553,552,534,500,381,380,334,571,533,468,608,544,418,417,502,108,106,92,91,89,88,87,3,482,472,545,644,489,483,508,637,586,604,499,470,541,485,363,362,572,559,536,465,406,405,404,403,402,398,389,367,364,342])).
% 4.78/4.87 cnf(855,plain,
% 4.78/4.87 (P11(f43(x8551,a1))),
% 4.78/4.87 inference(scs_inference,[],[142,141,300,112,113,114,119,120,121,122,139,274,125,318,198,216,183,155,768,771,303,715,718,735,738,741,757,763,153,796,159,695,724,727,730,190,150,721,744,805,164,323,324,775,136,769,209,170,260,681,684,692,698,747,750,789,801,315,297,321,259,319,689,320,252,2,370,391,390,11,458,397,382,622,618,540,539,527,526,455,429,428,427,426,425,424,401,376,375,609,553,552,534,500,381,380,334,571,533,468,608,544,418,417,502,108,106,92,91,89,88,87,3,482,472,545,644,489,483,508,637,586,604,499,470,541,485,363,362,572,559,536,465,406,405,404,403,402,398,389,367,364,342,341,340])).
% 4.78/4.87 cnf(859,plain,
% 4.78/4.87 (P2(f43(x8591,a1))),
% 4.78/4.87 inference(scs_inference,[],[142,141,300,112,113,114,116,117,119,120,121,122,139,274,125,318,198,216,183,155,768,771,303,715,718,735,738,741,757,763,153,796,159,695,724,727,730,190,150,721,744,805,164,323,324,775,136,769,209,170,260,681,684,692,698,747,750,789,801,315,297,321,259,319,689,320,252,2,370,391,390,11,458,397,382,622,618,540,539,527,526,455,429,428,427,426,425,424,401,376,375,609,553,552,534,500,381,380,334,571,533,468,608,544,418,417,502,108,106,92,91,89,88,87,3,482,472,545,644,489,483,508,637,586,604,499,470,541,485,363,362,572,559,536,465,406,405,404,403,402,398,389,367,364,342,341,340,339,338])).
% 4.78/4.87 cnf(863,plain,
% 4.78/4.87 (P9(f43(x8631,a1))),
% 4.78/4.87 inference(scs_inference,[],[142,141,300,112,113,114,116,117,119,120,121,122,139,274,125,318,198,216,183,155,768,771,303,715,718,735,738,741,757,763,153,796,159,695,724,727,730,190,150,721,744,805,164,323,324,775,136,769,209,170,260,681,684,692,698,747,750,789,801,315,297,321,259,319,689,320,252,2,370,391,390,11,458,397,382,622,618,540,539,527,526,455,429,428,427,426,425,424,401,376,375,609,553,552,534,500,381,380,334,571,533,468,608,544,418,417,502,108,106,92,91,89,88,87,3,482,472,545,644,489,483,508,637,586,604,499,470,541,485,363,362,572,559,536,465,406,405,404,403,402,398,389,367,364,342,341,340,339,338,337,336])).
% 4.78/4.87 cnf(865,plain,
% 4.78/4.87 (P1(f43(x8651,a1))),
% 4.78/4.87 inference(scs_inference,[],[142,141,300,111,112,113,114,116,117,119,120,121,122,139,274,125,318,198,216,183,155,768,771,303,715,718,735,738,741,757,763,153,796,159,695,724,727,730,190,150,721,744,805,164,323,324,775,136,769,209,170,260,681,684,692,698,747,750,789,801,315,297,321,259,319,689,320,252,2,370,391,390,11,458,397,382,622,618,540,539,527,526,455,429,428,427,426,425,424,401,376,375,609,553,552,534,500,381,380,334,571,533,468,608,544,418,417,502,108,106,92,91,89,88,87,3,482,472,545,644,489,483,508,637,586,604,499,470,541,485,363,362,572,559,536,465,406,405,404,403,402,398,389,367,364,342,341,340,339,338,337,336,335])).
% 4.78/4.87 cnf(915,plain,
% 4.78/4.87 (E(f43(f20(f20(x9151,x9152),x9152),x9153),f43(x9151,x9153))),
% 4.78/4.87 inference(scs_inference,[],[142,141,300,111,112,113,114,116,117,119,120,121,122,139,274,125,318,198,216,183,155,768,771,303,715,718,735,738,741,757,763,153,796,159,695,724,727,730,190,150,721,744,805,164,323,324,775,136,769,778,209,170,260,681,684,692,698,747,750,789,801,315,297,321,259,319,689,320,252,2,370,391,390,11,458,397,382,622,618,540,539,527,526,455,429,428,427,426,425,424,401,376,375,609,553,552,534,500,381,380,334,571,533,468,608,544,418,417,502,108,106,92,91,89,88,87,3,482,472,545,644,489,483,508,637,586,604,499,470,541,485,363,362,572,559,536,465,406,405,404,403,402,398,389,367,364,342,341,340,339,338,337,336,335,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36])).
% 4.78/4.87 cnf(946,plain,
% 4.78/4.87 (E(f3(f20(f20(x9461,x9462),x9462)),f3(x9461))),
% 4.78/4.87 inference(scs_inference,[],[142,141,300,111,112,113,114,116,117,119,120,121,122,139,274,125,318,198,216,183,155,768,771,303,715,718,735,738,741,757,763,153,796,159,695,724,727,730,190,150,721,744,805,164,323,324,775,136,769,778,209,170,260,681,684,692,698,747,750,789,801,315,297,321,259,319,689,320,252,2,370,391,390,11,458,397,382,622,618,540,539,527,526,455,429,428,427,426,425,424,401,376,375,609,553,552,534,500,381,380,334,571,533,468,608,544,418,417,502,108,106,92,91,89,88,87,3,482,472,545,644,489,483,508,637,586,604,499,470,541,485,363,362,572,559,536,465,406,405,404,403,402,398,389,367,364,342,341,340,339,338,337,336,335,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,10,9,8,7,6,5,4])).
% 4.78/4.87 cnf(960,plain,
% 4.78/4.87 (~P6(f32(a28,f32(f36(x9601),x9602)),f38(a28,a31,a42,a41),a41)),
% 4.78/4.87 inference(scs_inference,[],[142,141,300,111,112,113,114,116,117,119,120,121,122,139,274,125,318,198,216,183,810,155,768,771,303,715,718,735,738,741,757,763,153,796,159,695,724,727,730,190,150,721,744,805,164,323,324,775,136,769,778,316,209,170,260,681,684,692,698,747,750,789,801,315,297,321,259,319,689,320,252,2,370,391,390,11,458,397,382,622,618,540,539,527,526,455,429,428,427,426,425,424,401,376,375,609,553,552,534,500,381,380,334,571,533,468,608,544,418,417,502,108,106,92,91,89,88,87,3,482,472,545,644,489,483,508,637,586,604,499,470,541,485,363,362,572,559,536,465,406,405,404,403,402,398,389,367,364,342,341,340,339,338,337,336,335,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,10,9,8,7,6,5,4,634,633,628,621,602,599,598])).
% 4.78/4.87 cnf(976,plain,
% 4.78/4.87 (P6(f29(a45,f30(f27(a48),f27(a48))),f18(f37(x9761,f4(a21,a44),a41)),a41)),
% 4.78/4.87 inference(scs_inference,[],[142,141,300,111,112,113,114,116,117,119,120,121,122,139,274,125,318,198,216,183,810,155,768,771,303,715,718,735,738,741,757,763,153,796,159,695,724,727,730,190,150,721,744,805,164,323,324,775,136,769,778,316,209,170,260,681,684,692,698,747,750,789,801,315,297,321,259,319,689,320,200,252,2,370,391,390,11,458,397,382,622,618,540,539,527,526,455,429,428,427,426,425,424,401,376,375,609,553,552,534,500,381,380,334,571,533,468,608,544,418,417,502,108,106,92,91,89,88,87,3,482,472,545,644,489,483,508,637,586,604,499,470,541,485,363,362,572,559,536,465,406,405,404,403,402,398,389,367,364,342,341,340,339,338,337,336,335,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,10,9,8,7,6,5,4,634,633,628,621,602,599,598,597,596,565,564,562,554,529,528])).
% 4.78/4.87 cnf(1002,plain,
% 4.78/4.87 (~P6(f32(a28,a45),f19(f19(f4(a21,a44))),a41)),
% 4.78/4.87 inference(scs_inference,[],[142,141,300,111,112,113,114,116,117,119,120,121,122,139,274,125,318,198,216,183,810,155,768,771,303,715,718,735,738,741,757,763,153,796,159,695,724,727,730,190,150,721,744,805,164,323,324,775,136,769,778,316,209,170,260,681,684,692,698,747,750,789,801,315,297,321,259,319,689,320,200,252,2,370,391,390,11,458,397,382,622,618,540,539,527,526,455,429,428,427,426,425,424,401,376,375,609,553,552,534,500,381,380,334,571,533,468,608,544,418,417,502,108,106,92,91,89,88,87,3,482,472,545,644,489,483,508,637,586,604,499,470,541,485,363,362,572,559,536,465,406,405,404,403,402,398,389,367,364,342,341,340,339,338,337,336,335,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,10,9,8,7,6,5,4,634,633,628,621,602,599,598,597,596,565,564,562,554,529,528,498,497,492,474,419,416,415,414,413,412,411,410,409])).
% 4.78/4.87 cnf(1004,plain,
% 4.78/4.87 (~P6(f27(x10041),f18(f18(f4(x10042,f3(a2)))),a41)),
% 4.78/4.87 inference(scs_inference,[],[142,141,300,111,112,113,114,116,117,119,120,121,122,139,274,125,318,198,216,183,810,155,768,771,303,715,718,735,738,741,757,763,153,796,159,695,724,727,730,190,150,721,744,805,164,323,324,775,136,769,778,316,209,170,260,681,684,692,698,747,750,789,801,315,297,321,259,319,689,320,200,252,2,370,391,390,11,458,397,382,622,618,540,539,527,526,455,429,428,427,426,425,424,401,376,375,609,553,552,534,500,381,380,334,571,533,468,608,544,418,417,502,108,106,92,91,89,88,87,3,482,472,545,644,489,483,508,637,586,604,499,470,541,485,363,362,572,559,536,465,406,405,404,403,402,398,389,367,364,342,341,340,339,338,337,336,335,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,10,9,8,7,6,5,4,634,633,628,621,602,599,598,597,596,565,564,562,554,529,528,498,497,492,474,419,416,415,414,413,412,411,410,409,408])).
% 4.78/4.87 cnf(1006,plain,
% 4.78/4.87 (~P6(f27(x10061),f17(f17(f38(a28,x10062,a42,a41))),a41)),
% 4.78/4.87 inference(scs_inference,[],[142,141,300,111,112,113,114,116,117,119,120,121,122,139,274,125,318,198,216,183,810,155,768,771,303,715,718,735,738,741,757,763,153,796,159,695,724,727,730,190,150,721,744,805,164,323,324,775,136,769,778,316,209,170,260,681,684,692,698,747,750,789,801,315,297,321,259,319,689,320,200,252,2,370,391,390,11,458,397,382,622,618,540,539,527,526,455,429,428,427,426,425,424,401,376,375,609,553,552,534,500,381,380,334,571,533,468,608,544,418,417,502,108,106,92,91,89,88,87,3,482,472,545,644,489,483,508,637,586,604,499,470,541,485,363,362,572,559,536,465,406,405,404,403,402,398,389,367,364,342,341,340,339,338,337,336,335,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,10,9,8,7,6,5,4,634,633,628,621,602,599,598,597,596,565,564,562,554,529,528,498,497,492,474,419,416,415,414,413,412,411,410,409,408,407])).
% 4.78/4.87 cnf(1040,plain,
% 4.78/4.87 (~E(f32(a33,a23),f32(a33,a21))),
% 4.78/4.87 inference(scs_inference,[],[142,141,300,111,112,113,114,116,117,119,120,121,122,139,274,125,318,198,216,183,810,155,768,771,303,715,718,735,738,741,757,763,153,796,159,695,724,727,730,190,150,721,744,805,164,323,324,775,136,769,778,316,209,170,260,681,684,692,698,747,750,789,801,315,297,321,259,319,689,320,200,252,2,370,391,390,11,458,397,382,622,618,540,539,527,526,455,429,428,427,426,425,424,401,376,375,609,553,552,534,500,381,380,334,571,533,468,608,544,418,417,502,108,106,92,91,89,88,87,3,482,472,545,644,489,483,508,637,586,604,499,470,541,485,363,362,572,559,536,465,406,405,404,403,402,398,389,367,364,342,341,340,339,338,337,336,335,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,10,9,8,7,6,5,4,634,633,628,621,602,599,598,597,596,565,564,562,554,529,528,498,497,492,474,419,416,415,414,413,412,411,410,409,408,407,387,385,384,383,366,365,357,354,353,352,351,350,349,348,347,346,345])).
% 4.78/4.87 cnf(1054,plain,
% 4.78/4.87 (P8(f19(x10541),f19(f18(x10541)),f43(a41,a1))),
% 4.78/4.87 inference(scs_inference,[],[142,141,300,111,112,113,114,116,117,119,120,121,122,139,274,125,318,198,216,183,810,155,768,771,303,715,718,735,738,741,757,763,153,796,159,695,724,727,730,783,158,190,150,721,744,805,164,323,324,775,136,769,778,316,209,170,260,681,684,692,698,747,750,789,801,315,297,321,259,319,689,320,200,252,2,370,391,390,11,458,397,382,622,618,540,539,527,526,455,429,428,427,426,425,424,401,376,375,609,553,552,534,500,381,380,334,571,533,468,608,544,418,417,502,108,106,92,91,89,88,87,3,482,472,545,644,489,483,508,637,586,604,499,470,541,485,363,362,572,559,536,465,406,405,404,403,402,398,389,367,364,342,341,340,339,338,337,336,335,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,10,9,8,7,6,5,4,634,633,628,621,602,599,598,597,596,565,564,562,554,529,528,498,497,492,474,419,416,415,414,413,412,411,410,409,408,407,387,385,384,383,366,365,357,354,353,352,351,350,349,348,347,346,345,344,343,332,331,462,440,439])).
% 4.78/4.87 cnf(1056,plain,
% 4.78/4.87 (P8(f18(x10561),f18(f19(x10561)),f43(a41,a1))),
% 4.78/4.87 inference(scs_inference,[],[142,141,300,111,112,113,114,116,117,119,120,121,122,139,274,125,318,198,216,183,810,155,768,771,303,715,718,735,738,741,757,763,153,796,159,695,724,727,730,783,158,190,150,721,744,805,164,323,324,775,136,769,778,316,209,170,260,681,684,692,698,747,750,789,801,315,297,321,259,319,689,320,200,252,2,370,391,390,11,458,397,382,622,618,540,539,527,526,455,429,428,427,426,425,424,401,376,375,609,553,552,534,500,381,380,334,571,533,468,608,544,418,417,502,108,106,92,91,89,88,87,3,482,472,545,644,489,483,508,637,586,604,499,470,541,485,363,362,572,559,536,465,406,405,404,403,402,398,389,367,364,342,341,340,339,338,337,336,335,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,10,9,8,7,6,5,4,634,633,628,621,602,599,598,597,596,565,564,562,554,529,528,498,497,492,474,419,416,415,414,413,412,411,410,409,408,407,387,385,384,383,366,365,357,354,353,352,351,350,349,348,347,346,345,344,343,332,331,462,440,439,438])).
% 4.78/4.87 cnf(1071,plain,
% 4.78/4.87 (P8(x10711,f19(f19(x10711)),f43(a41,a1))),
% 4.78/4.87 inference(scs_inference,[],[142,141,300,111,112,113,114,116,117,119,120,121,122,139,274,125,318,198,216,183,810,155,768,771,303,715,718,735,738,741,757,763,153,796,159,695,724,727,730,783,158,190,150,721,744,805,164,323,324,775,136,769,778,316,209,170,260,681,684,692,698,747,750,789,801,814,315,297,321,259,319,689,320,200,252,2,370,391,390,11,458,397,382,622,618,540,539,527,526,455,429,428,427,426,425,424,401,376,375,609,553,552,534,500,381,380,334,571,533,468,608,544,418,417,502,108,106,92,91,89,88,87,3,482,472,545,644,489,483,508,637,586,604,499,470,541,485,363,362,572,559,536,465,406,405,404,403,402,398,389,367,364,342,341,340,339,338,337,336,335,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,10,9,8,7,6,5,4,634,633,628,621,602,599,598,597,596,565,564,562,554,529,528,498,497,492,474,419,416,415,414,413,412,411,410,409,408,407,387,385,384,383,366,365,357,354,353,352,351,350,349,348,347,346,345,344,343,332,331,462,440,439,438,437,583,532,475,457,456,454])).
% 4.78/4.87 cnf(1085,plain,
% 4.78/4.87 (~P6(f32(a28,a45),f17(f19(f4(a21,a44))),a41)),
% 4.78/4.87 inference(scs_inference,[],[142,141,300,111,112,113,114,116,117,119,120,121,122,139,274,125,318,198,216,183,810,155,768,771,303,715,718,735,738,741,757,763,153,796,159,695,724,727,730,783,158,190,157,150,721,744,805,164,323,324,775,136,769,778,316,209,160,170,260,681,684,692,698,747,750,789,801,814,315,297,321,259,319,689,320,236,234,200,252,2,370,391,390,11,458,397,382,622,618,540,539,527,526,455,429,428,427,426,425,424,401,376,375,609,553,552,534,500,381,380,334,571,533,468,608,544,418,417,502,108,106,92,91,89,88,87,3,482,472,545,644,489,483,508,637,586,604,499,470,541,485,363,362,572,559,536,465,406,405,404,403,402,398,389,367,364,342,341,340,339,338,337,336,335,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,10,9,8,7,6,5,4,634,633,628,621,602,599,598,597,596,565,564,562,554,529,528,498,497,492,474,419,416,415,414,413,412,411,410,409,408,407,387,385,384,383,366,365,357,354,353,352,351,350,349,348,347,346,345,344,343,332,331,462,440,439,438,437,583,532,475,457,456,454,453,452,447,446,445,444,443])).
% 4.78/4.87 cnf(1087,plain,
% 4.78/4.87 (P6(f30(f27(a48),f27(a48)),f18(f4(a21,a44)),a41)),
% 4.78/4.87 inference(scs_inference,[],[142,141,300,111,112,113,114,116,117,119,120,121,122,139,274,125,318,198,216,183,810,155,768,771,303,715,718,735,738,741,757,763,153,796,159,695,724,727,730,783,158,190,157,150,721,744,805,164,323,324,775,136,769,778,316,209,160,170,260,681,684,692,698,747,750,789,801,814,315,297,321,259,319,689,320,236,234,200,252,2,370,391,390,11,458,397,382,622,618,540,539,527,526,455,429,428,427,426,425,424,401,376,375,609,553,552,534,500,381,380,334,571,533,468,608,544,418,417,502,108,106,92,91,89,88,87,3,482,472,545,644,489,483,508,637,586,604,499,470,541,485,363,362,572,559,536,465,406,405,404,403,402,398,389,367,364,342,341,340,339,338,337,336,335,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,10,9,8,7,6,5,4,634,633,628,621,602,599,598,597,596,565,564,562,554,529,528,498,497,492,474,419,416,415,414,413,412,411,410,409,408,407,387,385,384,383,366,365,357,354,353,352,351,350,349,348,347,346,345,344,343,332,331,462,440,439,438,437,583,532,475,457,456,454,453,452,447,446,445,444,443,423])).
% 4.78/4.87 cnf(1114,plain,
% 4.78/4.87 (P17(f32(f37(x11141,f37(x11142,x11143,x11144),x11145),x11142))),
% 4.78/4.87 inference(scs_inference,[],[142,141,300,111,112,113,114,116,117,119,120,121,122,139,274,125,318,198,216,183,810,155,768,771,303,715,718,735,738,741,757,763,153,796,159,695,724,727,730,783,158,190,157,150,721,744,805,811,164,323,324,775,136,769,778,316,209,160,170,260,681,684,692,698,747,750,789,801,814,315,297,321,259,319,689,320,236,234,200,252,2,370,391,390,11,458,397,382,622,618,540,539,527,526,455,429,428,427,426,425,424,401,376,375,609,553,552,534,500,381,380,334,571,533,468,608,544,418,417,502,108,106,92,91,89,88,87,3,482,472,545,644,489,483,508,637,586,604,499,470,541,485,363,362,572,559,536,465,406,405,404,403,402,398,389,367,364,342,341,340,339,338,337,336,335,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,10,9,8,7,6,5,4,634,633,628,621,602,599,598,597,596,565,564,562,554,529,528,498,497,492,474,419,416,415,414,413,412,411,410,409,408,407,387,385,384,383,366,365,357,354,353,352,351,350,349,348,347,346,345,344,343,332,331,462,440,439,438,437,583,532,475,457,456,454,453,452,447,446,445,444,443,423,388,372,371,369,368,538,537,518,517,516,515,514,496])).
% 4.78/4.87 cnf(1134,plain,
% 4.78/4.87 (~P8(f15(f18(f4(x11341,f3(a2))),f43(a41,a1)),f15(f4(a21,a44),f43(a41,a1)),f43(a41,a1))),
% 4.78/4.87 inference(scs_inference,[],[142,141,300,111,112,113,114,116,117,119,120,121,122,139,274,125,318,198,216,183,810,155,768,771,303,715,718,735,738,741,757,763,153,796,159,695,724,727,730,783,158,190,157,150,721,744,805,811,164,323,324,775,136,769,778,316,209,160,170,130,260,681,684,692,698,747,750,789,801,814,315,297,321,259,319,689,320,236,234,200,252,2,370,391,390,11,458,397,382,622,618,540,539,527,526,455,429,428,427,426,425,424,401,376,375,609,553,552,534,500,381,380,334,571,533,468,608,544,418,417,502,108,106,92,91,89,88,87,3,482,472,545,644,489,483,508,637,586,604,499,470,541,485,363,362,572,559,536,465,406,405,404,403,402,398,389,367,364,342,341,340,339,338,337,336,335,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,10,9,8,7,6,5,4,634,633,628,621,602,599,598,597,596,565,564,562,554,529,528,498,497,492,474,419,416,415,414,413,412,411,410,409,408,407,387,385,384,383,366,365,357,354,353,352,351,350,349,348,347,346,345,344,343,332,331,462,440,439,438,437,583,532,475,457,456,454,453,452,447,446,445,444,443,423,388,372,371,369,368,538,537,518,517,516,515,514,496,463,442,441,435,434,433,611,595,579,550])).
% 4.78/4.87 cnf(1138,plain,
% 4.78/4.87 (~P7(a23,f20(f20(a21,x11381),x11381),x11382)),
% 4.78/4.87 inference(scs_inference,[],[142,141,300,111,112,113,114,116,117,119,120,121,122,139,274,125,318,198,216,183,810,155,768,771,303,715,718,735,738,741,757,763,153,796,159,695,724,727,730,783,158,190,157,150,721,744,805,811,164,323,324,775,136,769,778,316,209,160,170,130,260,681,684,692,698,747,750,789,801,814,315,297,321,259,319,689,320,236,234,200,252,2,370,391,390,11,458,397,382,622,618,540,539,527,526,455,429,428,427,426,425,424,401,376,375,609,553,552,534,500,381,380,334,571,533,468,608,544,418,417,502,108,106,92,91,89,88,87,3,482,472,545,644,489,483,508,637,586,604,499,470,541,485,363,362,572,559,536,465,406,405,404,403,402,398,389,367,364,342,341,340,339,338,337,336,335,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,10,9,8,7,6,5,4,634,633,628,621,602,599,598,597,596,565,564,562,554,529,528,498,497,492,474,419,416,415,414,413,412,411,410,409,408,407,387,385,384,383,366,365,357,354,353,352,351,350,349,348,347,346,345,344,343,332,331,462,440,439,438,437,583,532,475,457,456,454,453,452,447,446,445,444,443,423,388,372,371,369,368,538,537,518,517,516,515,514,496,463,442,441,435,434,433,611,595,579,550,523,109])).
% 4.78/4.87 cnf(1141,plain,
% 4.78/4.87 (~P5(a47,f10(a46,a46,f43(x11411,a1)),f29(a45,f30(f27(a48),f27(a48))),a44)),
% 4.78/4.87 inference(scs_inference,[],[142,141,300,111,112,113,114,116,117,119,120,121,122,139,274,125,318,322,198,216,183,810,155,768,771,303,715,718,735,738,741,757,763,153,796,159,695,724,727,730,783,158,190,157,150,721,744,805,811,164,323,324,775,136,769,778,147,148,156,316,209,160,170,130,260,681,684,692,698,747,750,789,801,814,315,297,321,259,319,689,320,236,234,200,252,2,370,391,390,11,458,397,382,622,618,540,539,527,526,455,429,428,427,426,425,424,401,376,375,609,553,552,534,500,381,380,334,571,533,468,608,544,418,417,502,108,106,92,91,89,88,87,3,482,472,545,644,489,483,508,637,586,604,499,470,541,485,363,362,572,559,536,465,406,405,404,403,402,398,389,367,364,342,341,340,339,338,337,336,335,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,10,9,8,7,6,5,4,634,633,628,621,602,599,598,597,596,565,564,562,554,529,528,498,497,492,474,419,416,415,414,413,412,411,410,409,408,407,387,385,384,383,366,365,357,354,353,352,351,350,349,348,347,346,345,344,343,332,331,462,440,439,438,437,583,532,475,457,456,454,453,452,447,446,445,444,443,423,388,372,371,369,368,538,537,518,517,516,515,514,496,463,442,441,435,434,433,611,595,579,550,523,109,105,104,103])).
% 4.78/4.87 cnf(1143,plain,
% 4.78/4.87 (~E(a42,x11431)+P12(x11431)),
% 4.78/4.87 inference(scs_inference,[],[142,141,300,111,112,113,114,116,117,119,120,121,122,124,139,274,125,318,322,198,216,183,810,155,768,771,303,715,718,735,738,741,757,763,153,796,159,695,724,727,730,783,158,190,157,150,721,744,805,811,164,323,324,775,136,769,778,147,148,156,133,316,209,160,170,130,260,681,684,692,698,747,750,789,801,814,315,297,321,259,319,689,320,236,234,200,252,2,370,391,390,11,458,397,382,622,618,540,539,527,526,455,429,428,427,426,425,424,401,376,375,609,553,552,534,500,381,380,334,571,533,468,608,544,418,417,502,108,106,92,91,89,88,87,3,482,472,545,644,489,483,508,637,586,604,499,470,541,485,363,362,572,559,536,465,406,405,404,403,402,398,389,367,364,342,341,340,339,338,337,336,335,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,10,9,8,7,6,5,4,634,633,628,621,602,599,598,597,596,565,564,562,554,529,528,498,497,492,474,419,416,415,414,413,412,411,410,409,408,407,387,385,384,383,366,365,357,354,353,352,351,350,349,348,347,346,345,344,343,332,331,462,440,439,438,437,583,532,475,457,456,454,453,452,447,446,445,444,443,423,388,372,371,369,368,538,537,518,517,516,515,514,496,463,442,441,435,434,433,611,595,579,550,523,109,105,104,103,102,101])).
% 4.78/4.87 cnf(1287,plain,
% 4.78/4.87 (E(x12871,f20(f20(x12871,x12872),x12872))),
% 4.78/4.87 inference(rename_variables,[],[665])).
% 4.78/4.87 cnf(1292,plain,
% 4.78/4.87 (P15(f20(f20(a1,x12921),x12921))),
% 4.78/4.87 inference(scs_inference,[],[665,1287,121,1085,1143,460,459,99])).
% 4.78/4.87 cnf(1293,plain,
% 4.78/4.87 (E(x12931,f20(f20(x12931,x12932),x12932))),
% 4.78/4.87 inference(rename_variables,[],[665])).
% 4.78/4.87 cnf(1294,plain,
% 4.78/4.87 (P16(f20(f20(a42,x12941),x12941))),
% 4.78/4.87 inference(scs_inference,[],[665,1287,1293,123,121,1085,1143,460,459,99,98])).
% 4.78/4.87 cnf(1295,plain,
% 4.78/4.87 (E(x12951,f20(f20(x12951,x12952),x12952))),
% 4.78/4.87 inference(rename_variables,[],[665])).
% 4.78/4.87 cnf(1297,plain,
% 4.78/4.87 (E(x12971,f20(f20(x12971,x12972),x12972))),
% 4.78/4.87 inference(rename_variables,[],[665])).
% 4.78/4.87 cnf(1299,plain,
% 4.78/4.87 (E(x12991,f20(f20(x12991,x12992),x12992))),
% 4.78/4.87 inference(rename_variables,[],[665])).
% 4.78/4.87 cnf(1300,plain,
% 4.78/4.87 (P2(f20(f20(a1,x13001),x13001))),
% 4.78/4.87 inference(scs_inference,[],[665,1287,1293,1295,1297,1299,118,123,120,121,116,1085,1143,460,459,99,98,97,95,94])).
% 4.78/4.87 cnf(1301,plain,
% 4.78/4.87 (E(x13011,f20(f20(x13011,x13012),x13012))),
% 4.78/4.87 inference(rename_variables,[],[665])).
% 4.78/4.87 cnf(1302,plain,
% 4.78/4.87 (P10(f20(f20(a42,x13021),x13021))),
% 4.78/4.87 inference(scs_inference,[],[665,1287,1293,1295,1297,1299,1301,115,118,123,120,121,116,1085,1143,460,459,99,98,97,95,94,90])).
% 4.78/4.87 cnf(1303,plain,
% 4.78/4.87 (E(x13031,f20(f20(x13031,x13032),x13032))),
% 4.78/4.87 inference(rename_variables,[],[665])).
% 4.78/4.87 cnf(1304,plain,
% 4.78/4.87 (P9(f20(f20(a1,x13041),x13041))),
% 4.78/4.87 inference(scs_inference,[],[665,1287,1293,1295,1297,1299,1301,1303,115,118,123,120,121,112,116,1085,1143,460,459,99,98,97,95,94,90,86])).
% 4.78/4.87 cnf(1305,plain,
% 4.78/4.87 (E(x13051,f20(f20(x13051,x13052),x13052))),
% 4.78/4.87 inference(rename_variables,[],[665])).
% 4.78/4.87 cnf(1306,plain,
% 4.78/4.87 (P1(f20(f20(a1,x13061),x13061))),
% 4.78/4.87 inference(scs_inference,[],[665,1287,1293,1295,1297,1299,1301,1303,1305,115,118,123,120,121,112,111,116,1085,1143,460,459,99,98,97,95,94,90,86,85])).
% 4.78/4.87 cnf(1307,plain,
% 4.78/4.87 (E(x13071,f20(f20(x13071,x13072),x13072))),
% 4.78/4.87 inference(rename_variables,[],[665])).
% 4.78/4.87 cnf(1308,plain,
% 4.78/4.87 (P6(f32(a28,f32(a33,x13081)),f19(f4(x13081,x13082)),a41)),
% 4.78/4.87 inference(scs_inference,[],[665,1287,1293,1295,1297,1299,1301,1303,1305,115,118,174,123,120,121,112,111,116,1085,1143,460,459,99,98,97,95,94,90,86,85,391])).
% 4.78/4.87 cnf(1310,plain,
% 4.78/4.87 (P6(x13101,f19(f4(a21,f9(x13102,f16(f8(x13103,x13104,x13101),x13105,a2),a2))),a41)),
% 4.78/4.87 inference(scs_inference,[],[665,1287,1293,1295,1297,1299,1301,1303,1305,115,118,174,123,260,120,121,112,111,116,1085,1143,460,459,99,98,97,95,94,90,86,85,391,540])).
% 4.78/4.87 cnf(1311,plain,
% 4.78/4.87 (P6(x13111,f22(f9(x13112,f16(x13111,x13113,x13114),x13114),x13114),x13114)),
% 4.78/4.87 inference(rename_variables,[],[260])).
% 4.78/4.87 cnf(1313,plain,
% 4.78/4.87 (P6(x13131,f18(f4(a21,f9(x13132,f16(f8(x13133,x13134,x13131),x13135,a2),a2))),a41)),
% 4.78/4.87 inference(scs_inference,[],[665,1287,1293,1295,1297,1299,1301,1303,1305,115,118,174,123,260,1311,120,121,112,111,116,1085,1143,460,459,99,98,97,95,94,90,86,85,391,540,539])).
% 4.78/4.87 cnf(1318,plain,
% 4.78/4.87 (~P8(f18(f4(a21,a44)),f18(f4(x13181,f3(a2))),f43(a41,a1))),
% 4.78/4.87 inference(scs_inference,[],[665,1287,1293,1295,1297,1299,1301,1303,1305,115,118,317,174,123,260,1311,120,121,112,111,116,792,1085,1143,460,459,99,98,97,95,94,90,86,85,391,540,539,527,453])).
% 4.78/4.87 cnf(1320,plain,
% 4.78/4.87 (P6(x13201,f19(f37(f30(x13202,x13201),x13203,a41)),a41)),
% 4.78/4.87 inference(scs_inference,[],[665,1287,1293,1295,1297,1299,1301,1303,1305,115,118,317,174,123,260,1311,120,121,112,111,116,792,694,1085,1143,460,459,99,98,97,95,94,90,86,85,391,540,539,527,453,426])).
% 4.78/4.87 cnf(1321,plain,
% 4.78/4.87 (P6(x13211,f19(f37(x13211,x13212,a41)),a41)),
% 4.78/4.87 inference(rename_variables,[],[694])).
% 4.78/4.87 cnf(1323,plain,
% 4.78/4.87 (P6(f27(a48),f18(f4(a21,a44)),a41)),
% 4.78/4.87 inference(scs_inference,[],[665,1287,1293,1295,1297,1299,1301,1303,1305,115,118,317,174,123,260,1311,120,121,112,111,116,792,694,1085,1087,1143,460,459,99,98,97,95,94,90,86,85,391,540,539,527,453,426,425])).
% 4.78/4.87 cnf(1334,plain,
% 4.78/4.87 (~P6(f29(f32(a33,a21),f32(a28,a45)),f19(f4(a21,a44)),a41)),
% 4.78/4.87 inference(scs_inference,[],[142,665,1287,1293,1295,1297,1299,1301,1303,1305,115,118,317,174,257,255,123,299,260,1311,120,121,112,111,116,139,318,792,694,670,1085,1087,1143,460,459,99,98,97,95,94,90,86,85,391,540,539,527,453,426,425,468,472,546,545,555])).
% 4.78/4.87 cnf(1341,plain,
% 4.78/4.87 (P6(f29(a45,f30(f27(a48),f27(a48))),f18(f37(x13411,f4(a21,a44),a41)),a41)),
% 4.78/4.87 inference(rename_variables,[],[976])).
% 4.78/4.87 cnf(1346,plain,
% 4.78/4.87 (P8(x13461,f10(x13461,x13462,f43(x13463,a1)),f43(x13463,a1))),
% 4.78/4.87 inference(rename_variables,[],[206])).
% 4.78/4.87 cnf(1349,plain,
% 4.78/4.87 (P6(f25(x13491),f17(x13492),a41)),
% 4.78/4.87 inference(rename_variables,[],[150])).
% 4.78/4.87 cnf(1353,plain,
% 4.78/4.87 (~E(f16(x13531,x13532,x13533),x13532)),
% 4.78/4.87 inference(rename_variables,[],[303])).
% 4.78/4.87 cnf(1355,plain,
% 4.78/4.87 (P8(f19(f10(x13551,x13552,f43(a41,a1))),f19(f10(f19(x13551),x13552,f43(a41,a1))),f43(a41,a1))),
% 4.78/4.87 inference(scs_inference,[],[142,665,1287,1293,1295,1297,1299,1301,1303,1305,115,118,206,317,174,298,257,255,123,299,155,303,159,150,260,1311,120,117,121,112,111,125,216,315,116,139,318,1134,792,694,1006,670,976,1085,1087,1143,460,459,99,98,97,95,94,90,86,85,391,540,539,527,453,426,425,468,472,546,545,555,469,637,592,600,509,567,470,601])).
% 4.78/4.87 cnf(1357,plain,
% 4.78/4.87 (P8(x13571,x13571,f43(x13572,a1))),
% 4.78/4.87 inference(rename_variables,[],[155])).
% 4.78/4.87 cnf(1361,plain,
% 4.78/4.87 (P6(f25(x13611),f17(x13612),a41)),
% 4.78/4.87 inference(rename_variables,[],[150])).
% 4.78/4.87 cnf(1365,plain,
% 4.78/4.87 (~P8(f4(a21,a44),f18(f4(a21,f20(f3(a2),a2))),f43(a41,a1))),
% 4.78/4.87 inference(scs_inference,[],[142,665,1287,1293,1295,1297,1299,1301,1303,1305,115,118,206,1346,317,174,298,212,257,255,123,299,155,303,159,150,1349,260,1311,120,117,121,112,111,125,216,315,116,139,318,1134,792,855,694,1006,670,976,1341,1085,1087,1143,460,459,99,98,97,95,94,90,86,85,391,540,539,527,453,426,425,468,472,546,545,555,469,637,592,600,509,567,470,601,588,558,466])).
% 4.78/4.87 cnf(1366,plain,
% 4.78/4.87 (~P8(f4(a21,a44),f18(f4(x13661,f3(a2))),f43(a41,a1))),
% 4.78/4.87 inference(rename_variables,[],[792])).
% 4.78/4.87 cnf(1367,plain,
% 4.78/4.87 (P8(f18(f4(a21,f20(x13671,a2))),f18(f4(a21,x13671)),f43(a41,a1))),
% 4.78/4.87 inference(rename_variables,[],[212])).
% 4.78/4.87 cnf(1370,plain,
% 4.78/4.87 (~P6(f29(f32(a33,a23),f30(x13701,f30(f25(x13702),f30(f32(a28,f32(a33,x13703)),x13704)))),f18(f4(a21,a44)),a41)),
% 4.78/4.87 inference(scs_inference,[],[142,665,1287,1293,1295,1297,1299,1301,1303,1305,115,118,206,1346,317,174,298,212,257,255,123,299,155,303,159,150,1349,260,1311,259,120,117,121,112,111,125,216,315,116,139,318,1134,792,855,694,1006,670,976,1341,1085,1087,1143,460,459,99,98,97,95,94,90,86,85,391,540,539,527,453,426,425,468,472,546,545,555,469,637,592,600,509,567,470,601,588,558,466,635])).
% 4.78/4.87 cnf(1371,plain,
% 4.78/4.87 (P6(f32(x13711,x13712),f38(x13711,f35(f43(x13713,a1)),x13713,x13714),x13714)),
% 4.78/4.87 inference(rename_variables,[],[259])).
% 4.78/4.87 cnf(1374,plain,
% 4.78/4.87 (P9(f43(x13741,a1))),
% 4.78/4.87 inference(rename_variables,[],[863])).
% 4.78/4.87 cnf(1377,plain,
% 4.78/4.87 (P6(f32(x13771,x13772),f38(x13771,f35(f43(x13773,a1)),x13773,x13774),x13774)),
% 4.78/4.87 inference(rename_variables,[],[259])).
% 4.78/4.87 cnf(1380,plain,
% 4.78/4.87 (P8(x13801,x13801,f43(x13802,a1))),
% 4.78/4.87 inference(rename_variables,[],[155])).
% 4.78/4.87 cnf(1381,plain,
% 4.78/4.87 (P6(x13811,f19(f37(x13811,x13812,a41)),a41)),
% 4.78/4.87 inference(rename_variables,[],[694])).
% 4.78/4.87 cnf(1383,plain,
% 4.78/4.87 (~P6(f29(f32(a33,a23),f30(x13831,f30(f25(x13832),f30(f32(a28,x13833),f25(x13834))))),f18(f4(a21,a44)),a41)),
% 4.78/4.87 inference(scs_inference,[],[142,665,1287,1293,1295,1297,1299,1301,1303,1305,115,118,281,206,1346,317,174,298,228,212,257,255,123,299,155,1357,303,159,150,1349,260,1311,259,1371,120,117,121,112,111,125,216,315,116,139,318,1134,792,855,863,694,1321,1006,670,976,1341,1085,1087,1002,1143,460,459,99,98,97,95,94,90,86,85,391,540,539,527,453,426,425,468,472,546,545,555,469,637,592,600,509,567,470,601,588,558,466,635,521,646,587,623])).
% 4.78/4.87 cnf(1384,plain,
% 4.78/4.87 (~E(f25(x13841),f29(x13842,x13843))),
% 4.78/4.87 inference(rename_variables,[],[281])).
% 4.78/4.87 cnf(1393,plain,
% 4.78/4.87 (P8(x13931,f10(x13931,x13932,f43(x13933,a1)),f43(x13933,a1))),
% 4.78/4.87 inference(rename_variables,[],[206])).
% 4.78/4.87 cnf(1396,plain,
% 4.78/4.87 (P8(x13961,f10(x13961,x13962,f43(x13963,a1)),f43(x13963,a1))),
% 4.78/4.87 inference(rename_variables,[],[206])).
% 4.78/4.87 cnf(1401,plain,
% 4.78/4.87 (P6(f30(f29(x14011,f25(x14012)),f29(x14011,f25(x14012))),f17(f37(f32(a28,x14011),x14013,a41)),a41)),
% 4.78/4.87 inference(scs_inference,[],[142,665,1287,1293,1295,1297,1299,1301,1303,1305,115,118,281,206,1346,1393,317,174,298,228,212,257,255,123,299,155,1357,303,159,150,1349,260,1311,259,1371,120,117,121,112,111,125,216,315,116,200,139,318,1071,1134,792,1366,855,863,1374,694,1321,1006,809,670,976,1341,1085,1087,1002,1143,460,459,99,98,97,95,94,90,86,85,391,540,539,527,453,426,425,468,472,546,545,555,469,637,592,600,509,567,470,601,588,558,466,635,521,646,587,623,526,553,534,393,511,490,484])).
% 4.78/4.87 cnf(1403,plain,
% 4.78/4.87 (~P8(f35(f43(a41,a1)),f11(f3(a2)),f43(a41,a1))),
% 4.78/4.87 inference(scs_inference,[],[142,665,1287,1293,1295,1297,1299,1301,1303,1305,115,118,281,206,1346,1393,317,174,298,228,212,257,255,123,299,155,1357,303,159,150,1349,164,260,1311,259,1371,120,117,121,112,111,125,216,315,116,200,139,318,1071,1134,792,1366,855,863,1374,694,1321,1006,809,670,976,1341,1085,1087,1002,1143,460,459,99,98,97,95,94,90,86,85,391,540,539,527,453,426,425,468,472,546,545,555,469,637,592,600,509,567,470,601,588,558,466,635,521,646,587,623,526,553,534,393,511,490,484,482])).
% 4.78/4.87 cnf(1404,plain,
% 4.78/4.87 (P6(x14041,f35(f43(x14042,a1)),x14042)),
% 4.78/4.87 inference(rename_variables,[],[164])).
% 4.78/4.87 cnf(1410,plain,
% 4.78/4.87 (P6(f32(a28,f32(a33,x14101)),f18(f4(x14101,x14102)),a41)),
% 4.78/4.87 inference(scs_inference,[],[142,665,1287,1293,1295,1297,1299,1301,1303,1305,115,118,281,206,1346,1393,1396,317,174,298,173,228,212,257,255,123,299,155,1357,303,159,150,1349,164,260,1311,259,1371,120,117,121,112,111,125,216,315,116,200,139,318,1071,1134,792,1366,855,863,1374,1004,694,1321,1006,809,670,976,1341,1085,1087,1002,1143,460,459,99,98,97,95,94,90,86,85,391,540,539,527,453,426,425,468,472,546,545,555,469,637,592,600,509,567,470,601,588,558,466,635,521,646,587,623,526,553,534,393,511,490,484,482,432,423,390])).
% 4.78/4.87 cnf(1414,plain,
% 4.78/4.87 (E(f32(x14141,x14142),f32(f20(f20(x14141,x14143),x14143),x14142))),
% 4.78/4.87 inference(scs_inference,[],[142,665,1287,1293,1295,1297,1299,1301,1303,1305,1307,115,118,281,206,1346,1393,1396,317,174,298,173,228,212,257,255,123,299,155,1357,303,159,150,1349,164,260,1311,259,1371,120,117,121,112,111,125,216,315,116,200,139,318,1071,1134,792,1366,855,863,1374,1004,694,1321,1006,809,670,976,1341,1085,1087,1002,1143,460,459,99,98,97,95,94,90,86,85,391,540,539,527,453,426,425,468,472,546,545,555,469,637,592,600,509,567,470,601,588,558,466,635,521,646,587,623,526,553,534,393,511,490,484,482,432,423,390,389,11])).
% 4.78/4.87 cnf(1417,plain,
% 4.78/4.87 (~P17(f32(f11(f3(a2)),f29(x14171,x14172)))),
% 4.78/4.87 inference(scs_inference,[],[142,665,1287,1293,1295,1297,1299,1301,1303,1305,1307,115,118,281,206,1346,1393,1396,317,174,298,173,228,212,257,255,123,299,155,1357,303,159,150,1349,164,260,1311,259,1371,120,117,121,112,111,125,216,315,116,200,139,318,1071,1134,792,1366,855,863,1374,1004,694,1321,1006,809,670,976,1341,1085,1087,1002,1143,460,459,99,98,97,95,94,90,86,85,391,540,539,527,453,426,425,468,472,546,545,555,469,637,592,600,509,567,470,601,588,558,466,635,521,646,587,623,526,553,534,393,511,490,484,482,432,423,390,389,11,397,382])).
% 4.78/4.87 cnf(1419,plain,
% 4.78/4.87 (~P6(f8(a23,x14191,f29(f32(a33,x14191),f30(x14192,f30(x14193,f30(f32(a28,f32(a33,a23)),x14194))))),f22(a44,a2),a2)),
% 4.78/4.87 inference(scs_inference,[],[142,665,1287,1293,1295,1297,1299,1301,1303,1305,1307,115,118,281,206,1346,1393,1396,317,174,298,173,228,212,257,255,123,299,155,1357,303,159,150,1349,164,260,1311,259,1371,120,117,121,112,111,125,216,315,116,200,139,318,1071,1134,792,1366,855,863,1374,1004,694,1321,1006,809,670,976,1341,1085,1087,1002,1143,460,459,99,98,97,95,94,90,86,85,391,540,539,527,453,426,425,468,472,546,545,555,469,637,592,600,509,567,470,601,588,558,466,635,521,646,587,623,526,553,534,393,511,490,484,482,432,423,390,389,11,397,382,622])).
% 4.78/4.87 cnf(1426,plain,
% 4.78/4.87 (P6(x14261,f11(f9(x14262,f16(f7(x14263,x14261),x14264,a2),a2)),a41)),
% 4.78/4.87 inference(rename_variables,[],[697])).
% 4.78/4.87 cnf(1431,plain,
% 4.78/4.87 (P6(x14311,f18(f4(a21,f9(x14312,f16(f8(x14313,x14314,f30(x14315,x14311)),x14316,a2),a2))),a41)),
% 4.78/4.87 inference(scs_inference,[],[142,665,1287,1293,1295,1297,1299,1301,1303,1305,1307,115,118,281,206,1346,1393,1396,317,174,298,173,228,212,257,255,123,299,155,1357,303,159,150,1349,164,260,1311,259,1371,120,117,121,112,111,125,216,315,116,200,139,318,1071,1134,792,1366,855,863,1374,1004,694,1321,1006,697,1426,809,670,976,1341,1085,1087,1002,1143,460,459,99,98,97,95,94,90,86,85,391,540,539,527,453,426,425,468,472,546,545,555,469,637,592,600,509,567,470,601,588,558,466,635,521,646,587,623,526,553,534,393,511,490,484,482,432,423,390,389,11,397,382,622,618,455,429,428,424])).
% 4.78/4.87 cnf(1437,plain,
% 4.78/4.87 (E(f9(f3(x14371),x14372,x14371),x14372)),
% 4.78/4.87 inference(rename_variables,[],[148])).
% 4.78/4.87 cnf(1439,plain,
% 4.78/4.87 (E(f10(x14391,x14391,f43(x14392,a1)),x14391)),
% 4.78/4.87 inference(rename_variables,[],[156])).
% 4.78/4.87 cnf(1443,plain,
% 4.78/4.87 (E(f9(f3(x14431),x14432,x14431),x14432)),
% 4.78/4.87 inference(rename_variables,[],[148])).
% 4.78/4.87 cnf(1445,plain,
% 4.78/4.87 (E(f9(f3(x14451),x14452,x14451),x14452)),
% 4.78/4.87 inference(rename_variables,[],[148])).
% 4.78/4.87 cnf(1446,plain,
% 4.78/4.87 (~P6(f9(f3(x14461),f29(x14462,x14463),x14461),f11(f3(a2)),a41)),
% 4.78/4.87 inference(scs_inference,[],[142,665,1287,1293,1295,1297,1299,1301,1303,1305,1307,115,118,281,206,1346,1393,1396,317,174,298,173,228,212,257,255,123,197,215,299,155,1357,303,159,150,1349,164,147,148,1437,1443,1445,156,260,1311,259,1371,120,117,121,112,111,125,216,315,116,322,200,139,318,1071,1134,792,1366,855,863,1374,1004,1138,694,1321,1006,697,1426,809,670,976,1341,1085,1087,1002,1141,1143,460,459,99,98,97,95,94,90,86,85,391,540,539,527,453,426,425,468,472,546,545,555,469,637,592,600,509,567,470,601,588,558,466,635,521,646,587,623,526,553,534,393,511,490,484,482,432,423,390,389,11,397,382,622,618,455,429,428,424,502,108,105,104,103,102,91,87])).
% 4.78/4.87 cnf(1447,plain,
% 4.78/4.87 (E(f9(f3(x14471),x14472,x14471),x14472)),
% 4.78/4.87 inference(rename_variables,[],[148])).
% 4.78/4.87 cnf(1448,plain,
% 4.78/4.87 (~P6(f8(a23,x14481,f29(x14482,f30(x14483,f30(f25(x14484),f30(f32(a28,f32(a33,x14485)),x14486))))),f22(a44,a2),a2)),
% 4.78/4.87 inference(scs_inference,[],[142,665,1287,1293,1295,1297,1299,1301,1303,1305,1307,115,118,281,206,1346,1393,1396,317,174,298,173,228,212,257,255,123,197,215,299,155,1357,303,159,150,1349,164,147,148,1437,1443,1445,156,260,1311,259,1371,1377,120,117,121,112,111,125,216,315,116,322,200,139,318,1071,1134,792,1366,855,863,1374,1004,1138,694,1321,1006,697,1426,809,670,976,1341,1085,1087,1002,1141,1143,460,459,99,98,97,95,94,90,86,85,391,540,539,527,453,426,425,468,472,546,545,555,469,637,592,600,509,567,470,601,588,558,466,635,521,646,587,623,526,553,534,393,511,490,484,482,432,423,390,389,11,397,382,622,618,455,429,428,424,502,108,105,104,103,102,91,87,644])).
% 4.78/4.87 cnf(1451,plain,
% 4.78/4.87 (~P8(f10(f18(f4(a21,a44)),x14511,f43(a41,a1)),f18(f4(a21,f3(a2))),f43(a41,a1))),
% 4.78/4.87 inference(scs_inference,[],[142,665,1287,1293,1295,1297,1299,1301,1303,1305,1307,115,118,281,206,1346,1393,1396,317,174,298,173,228,212,257,255,123,197,215,299,155,1357,303,159,150,1349,164,147,148,1437,1443,1445,156,260,1311,259,1371,1377,120,117,121,112,111,125,216,315,116,322,200,139,318,1071,1134,792,1366,855,863,1374,1004,1138,694,1321,1006,697,1426,809,670,976,1341,1085,1087,1002,1141,1143,460,459,99,98,97,95,94,90,86,85,391,540,539,527,453,426,425,468,472,546,545,555,469,637,592,600,509,567,470,601,588,558,466,635,521,646,587,623,526,553,534,393,511,490,484,482,432,423,390,389,11,397,382,622,618,455,429,428,424,502,108,105,104,103,102,91,87,644,507])).
% 4.78/4.87 cnf(1452,plain,
% 4.78/4.87 (P9(f43(x14521,a1))),
% 4.78/4.87 inference(rename_variables,[],[863])).
% 4.78/4.87 cnf(1457,plain,
% 4.78/4.87 (~P6(f29(x14571,x14572),f18(f10(f4(x14573,f3(a2)),f4(x14573,f3(a2)),f43(a41,a1))),a41)),
% 4.78/4.87 inference(scs_inference,[],[142,665,1287,1293,1295,1297,1299,1301,1303,1305,1307,115,118,281,206,1346,1393,1396,317,174,298,173,228,212,257,255,123,197,215,299,155,1357,303,159,150,1349,164,147,148,1437,1443,1445,156,260,1311,259,1371,1377,320,120,117,121,112,111,125,216,315,116,322,200,139,318,1071,1134,792,1366,855,863,1374,1452,1004,1138,694,1321,1006,697,1426,809,670,976,1341,1085,1087,1002,1141,1143,460,459,99,98,97,95,94,90,86,85,391,540,539,527,453,426,425,468,472,546,545,555,469,637,592,600,509,567,470,601,588,558,466,635,521,646,587,623,526,553,534,393,511,490,484,482,432,423,390,389,11,397,382,622,618,455,429,428,424,502,108,105,104,103,102,91,87,644,507,505,584])).
% 4.78/4.87 cnf(1479,plain,
% 4.78/4.87 (P8(x14791,f10(x14791,x14792,f43(x14793,a1)),f43(x14793,a1))),
% 4.78/4.87 inference(rename_variables,[],[206])).
% 4.78/4.87 cnf(1482,plain,
% 4.78/4.87 (P8(f18(f4(a21,f20(x14821,a2))),f18(f4(a21,x14821)),f43(a41,a1))),
% 4.78/4.87 inference(rename_variables,[],[212])).
% 4.78/4.87 cnf(1488,plain,
% 4.78/4.87 (~P6(f8(a47,a46,f29(a45,f30(f27(a48),f27(a48)))),f22(a44,a2),a2)),
% 4.78/4.87 inference(scs_inference,[],[142,665,1287,1293,1295,1297,1299,1301,1303,1305,1307,115,118,306,281,1384,294,291,206,1346,1393,1396,317,174,298,325,173,228,212,1367,257,255,123,197,215,299,155,1357,303,159,150,1349,1361,164,147,148,1437,1443,1445,156,260,1311,259,1371,1377,320,120,117,121,112,301,111,125,216,315,116,322,200,139,318,300,1071,1134,792,1366,851,855,863,1374,1452,1004,1138,694,1321,1006,697,1426,809,670,818,976,1341,1085,1087,1002,798,1141,1143,460,459,99,98,97,95,94,90,86,85,391,540,539,527,453,426,425,468,472,546,545,555,469,637,592,600,509,567,470,601,588,558,466,635,521,646,587,623,526,553,534,393,511,490,484,482,432,423,390,389,11,397,382,622,618,455,429,428,424,502,108,105,104,103,102,91,87,644,507,505,584,551,360,569,563,604,638,485,573,467,639,613])).
% 4.78/4.87 cnf(1490,plain,
% 4.78/4.87 (P6(f7(a21,f30(f50(a45,a44),f30(f53(a45,a44),f32(a28,a45)))),f22(a44,a2),a2)),
% 4.78/4.87 inference(scs_inference,[],[142,665,1287,1293,1295,1297,1299,1301,1303,1305,1307,115,118,306,281,1384,294,291,206,1346,1393,1396,317,174,298,325,173,228,212,1367,257,255,123,197,215,299,155,1357,303,159,150,1349,1361,164,147,148,1437,1443,1445,156,260,1311,259,1371,1377,320,120,117,121,112,301,111,125,216,315,116,322,200,139,198,318,300,1071,1134,792,1366,851,855,863,1374,1452,1004,1138,694,1321,1006,697,1426,809,670,818,976,1341,1085,1087,1002,798,1141,1143,460,459,99,98,97,95,94,90,86,85,391,540,539,527,453,426,425,468,472,546,545,555,469,637,592,600,509,567,470,601,588,558,466,635,521,646,587,623,526,553,534,393,511,490,484,482,432,423,390,389,11,397,382,622,618,455,429,428,424,502,108,105,104,103,102,91,87,644,507,505,584,551,360,569,563,604,638,485,573,467,639,613,625])).
% 4.78/4.87 cnf(1493,plain,
% 4.78/4.87 (~P8(f4(a21,a44),f4(a21,f3(a2)),f43(a41,a1))),
% 4.78/4.87 inference(scs_inference,[],[142,665,1287,1293,1295,1297,1299,1301,1303,1305,1307,115,118,306,281,1384,294,291,206,1346,1393,1396,317,174,298,325,173,228,212,1367,257,255,123,197,215,299,155,1357,303,159,150,1349,1361,164,147,148,1437,1443,1445,156,260,1311,259,1371,1377,320,120,117,121,112,301,111,125,216,315,116,322,200,139,198,318,300,1071,1134,792,1366,851,855,863,1374,1452,1004,1138,694,1321,1006,697,1426,809,670,818,976,1341,1085,1087,1002,798,1141,1143,460,459,99,98,97,95,94,90,86,85,391,540,539,527,453,426,425,468,472,546,545,555,469,637,592,600,509,567,470,601,588,558,466,635,521,646,587,623,526,553,534,393,511,490,484,482,432,423,390,389,11,397,382,622,618,455,429,428,424,502,108,105,104,103,102,91,87,644,507,505,584,551,360,569,563,604,638,485,573,467,639,613,625,2,438])).
% 4.78/4.87 cnf(1495,plain,
% 4.78/4.87 (P6(x14951,f19(f37(f30(x14951,x14952),x14953,a41)),a41)),
% 4.78/4.87 inference(scs_inference,[],[142,665,1287,1293,1295,1297,1299,1301,1303,1305,1307,115,118,306,281,1384,294,291,206,1346,1393,1396,317,174,298,325,173,228,212,1367,257,255,123,197,215,299,155,1357,303,159,150,1349,1361,164,147,148,1437,1443,1445,156,260,1311,259,1371,1377,320,120,117,121,112,301,111,125,216,315,116,322,200,139,198,318,300,1071,1134,792,1366,851,855,863,1374,1452,1004,1138,694,1321,1381,1006,697,1426,809,670,818,976,1341,1085,1087,1002,798,1141,1143,460,459,99,98,97,95,94,90,86,85,391,540,539,527,453,426,425,468,472,546,545,555,469,637,592,600,509,567,470,601,588,558,466,635,521,646,587,623,526,553,534,393,511,490,484,482,432,423,390,389,11,397,382,622,618,455,429,428,424,502,108,105,104,103,102,91,87,644,507,505,584,551,360,569,563,604,638,485,573,467,639,613,625,2,438,427])).
% 4.78/4.87 cnf(1500,plain,
% 4.78/4.87 (P7(x15001,f20(f20(x15001,x15002),x15002),x15003)),
% 4.78/4.87 inference(scs_inference,[],[142,665,1287,1293,1295,1297,1299,1301,1303,1305,1307,115,118,306,281,1384,294,291,206,1346,1393,1396,317,174,298,325,173,228,212,1367,257,255,123,197,215,141,299,155,1357,303,159,150,1349,1361,164,147,148,1437,1443,1445,156,260,1311,259,1371,1377,320,120,117,121,112,301,111,125,216,315,116,322,200,139,198,318,300,1071,1134,792,1366,851,855,863,1374,1452,1004,1138,694,1321,1381,1006,697,1426,809,670,818,976,1341,1085,1087,1002,798,1141,1143,460,459,99,98,97,95,94,90,86,85,391,540,539,527,453,426,425,468,472,546,545,555,469,637,592,600,509,567,470,601,588,558,466,635,521,646,587,623,526,553,534,393,511,490,484,482,432,423,390,389,11,397,382,622,618,455,429,428,424,502,108,105,104,103,102,91,87,644,507,505,584,551,360,569,563,604,638,485,573,467,639,613,625,2,438,427,552,109])).
% 4.78/4.87 cnf(1501,plain,
% 4.78/4.87 (E(x15011,f20(f20(x15011,x15012),x15012))),
% 4.78/4.87 inference(rename_variables,[],[665])).
% 4.78/4.87 cnf(1503,plain,
% 4.78/4.87 (E(f9(f3(x15031),x15032,x15031),x15032)),
% 4.78/4.87 inference(rename_variables,[],[148])).
% 4.78/4.87 cnf(1504,plain,
% 4.78/4.87 (P6(f16(f8(x15041,a23,f30(f25(x15041),f30(f25(x15042),f27(x15043)))),f3(a2),a2),a34,f40(a2))),
% 4.78/4.87 inference(scs_inference,[],[142,665,1287,1293,1295,1297,1299,1301,1303,1305,1307,115,118,306,281,1384,294,291,206,1346,1393,1396,317,174,298,325,173,228,212,1367,257,255,123,197,215,141,299,155,1357,303,159,150,1349,1361,164,147,148,1437,1443,1445,1447,156,260,1311,259,1371,1377,320,120,117,121,143,112,301,111,125,216,315,116,322,200,139,198,318,300,1071,1134,792,1366,851,855,863,1374,1452,1004,1138,694,1321,1381,1006,697,1426,809,670,818,976,1341,1085,1087,1002,798,1141,1143,460,459,99,98,97,95,94,90,86,85,391,540,539,527,453,426,425,468,472,546,545,555,469,637,592,600,509,567,470,601,588,558,466,635,521,646,587,623,526,553,534,393,511,490,484,482,432,423,390,389,11,397,382,622,618,455,429,428,424,502,108,105,104,103,102,91,87,644,507,505,584,551,360,569,563,604,638,485,573,467,639,613,625,2,438,427,552,109,89,606])).
% 4.78/4.87 cnf(1516,plain,
% 4.78/4.87 (~P17(f9(f3(x15161),f32(f11(f3(a2)),f29(x15162,x15163)),x15161))),
% 4.78/4.87 inference(scs_inference,[],[142,665,1287,1293,1295,1297,1299,1301,1303,1305,1307,1501,115,118,306,281,1384,294,291,206,1346,1393,1396,317,174,298,325,173,228,212,1367,1482,257,255,123,197,215,217,141,299,155,1357,303,1353,159,150,1349,1361,164,147,148,1437,1443,1445,1447,1503,156,260,1311,259,1371,1377,320,120,117,121,143,112,301,111,125,216,315,116,322,200,139,198,318,300,1071,1134,766,792,1366,851,855,863,1374,1452,1004,1138,694,1321,1381,1006,697,1426,809,670,818,976,1341,1085,1087,1002,798,1141,1143,460,459,99,98,97,95,94,90,86,85,391,540,539,527,453,426,425,468,472,546,545,555,469,637,592,600,509,567,470,601,588,558,466,635,521,646,587,623,526,553,534,393,511,490,484,482,432,423,390,389,11,397,382,622,618,455,429,428,424,502,108,105,104,103,102,91,87,644,507,505,584,551,360,569,563,604,638,485,573,467,639,613,625,2,438,427,552,109,89,606,513,417,489,106,96])).
% 4.78/4.87 cnf(1517,plain,
% 4.78/4.87 (~P8(f15(f18(f4(x15171,f3(a2))),f43(a41,a1)),f15(f4(a21,a44),f43(a41,a1)),f10(f43(a41,a1),f43(a41,a1),f43(x15172,a1)))),
% 4.78/4.87 inference(scs_inference,[],[142,665,1287,1293,1295,1297,1299,1301,1303,1305,1307,1501,115,118,306,281,1384,294,291,206,1346,1393,1396,317,174,298,325,173,228,212,1367,1482,257,255,123,197,215,217,141,299,155,1357,303,1353,159,150,1349,1361,164,147,148,1437,1443,1445,1447,1503,156,1439,260,1311,259,1371,1377,320,120,117,121,143,112,301,111,125,216,315,116,322,200,139,198,318,300,1071,1134,766,792,1366,851,855,863,1374,1452,1004,1138,694,1321,1381,1006,697,1426,809,670,818,976,1341,1085,1087,1002,798,1141,1143,460,459,99,98,97,95,94,90,86,85,391,540,539,527,453,426,425,468,472,546,545,555,469,637,592,600,509,567,470,601,588,558,466,635,521,646,587,623,526,553,534,393,511,490,484,482,432,423,390,389,11,397,382,622,618,455,429,428,424,502,108,105,104,103,102,91,87,644,507,505,584,551,360,569,563,604,638,485,573,467,639,613,625,2,438,427,552,109,89,606,513,417,489,106,96,93])).
% 4.78/4.87 cnf(1518,plain,
% 4.78/4.87 (E(f10(x15181,x15181,f43(x15182,a1)),x15181)),
% 4.78/4.87 inference(rename_variables,[],[156])).
% 4.78/4.87 cnf(1519,plain,
% 4.78/4.87 (~P8(f15(f18(f4(x15191,f3(a2))),f43(a41,a1)),f10(f15(f4(a21,a44),f43(a41,a1)),f15(f4(a21,a44),f43(a41,a1)),f43(x15192,a1)),f43(a41,a1))),
% 4.78/4.87 inference(scs_inference,[],[142,665,1287,1293,1295,1297,1299,1301,1303,1305,1307,1501,115,118,306,281,1384,294,291,206,1346,1393,1396,317,174,298,325,173,228,212,1367,1482,257,255,123,197,215,217,141,299,155,1357,303,1353,159,150,1349,1361,164,147,148,1437,1443,1445,1447,1503,156,1439,1518,260,1311,259,1371,1377,320,120,117,121,143,112,301,111,125,216,315,116,322,200,139,198,318,300,1071,1134,766,792,1366,851,855,863,1374,1452,1004,1138,694,1321,1381,1006,697,1426,809,670,818,976,1341,1085,1087,1002,798,1141,1143,460,459,99,98,97,95,94,90,86,85,391,540,539,527,453,426,425,468,472,546,545,555,469,637,592,600,509,567,470,601,588,558,466,635,521,646,587,623,526,553,534,393,511,490,484,482,432,423,390,389,11,397,382,622,618,455,429,428,424,502,108,105,104,103,102,91,87,644,507,505,584,551,360,569,563,604,638,485,573,467,639,613,625,2,438,427,552,109,89,606,513,417,489,106,96,93,92])).
% 4.78/4.87 cnf(1521,plain,
% 4.78/4.87 (~P6(f29(x15211,x15212),f11(f16(f6(x15213,x15214),f3(a2),a2)),a41)),
% 4.78/4.87 inference(scs_inference,[],[142,665,1287,1293,1295,1297,1299,1301,1303,1305,1307,1501,115,118,306,281,1384,294,291,206,1346,1393,1396,317,174,298,325,173,228,212,1367,1482,257,255,123,185,197,215,217,141,299,155,1357,303,1353,159,150,1349,1361,164,147,148,1437,1443,1445,1447,1503,156,1439,1518,260,1311,259,1371,1377,320,120,117,121,143,112,301,111,125,216,315,116,322,200,139,198,318,300,1071,1134,766,792,1366,851,855,863,1374,1452,1004,1138,694,1321,1381,1006,697,1426,809,670,818,976,1341,1085,1087,1002,798,1141,1143,460,459,99,98,97,95,94,90,86,85,391,540,539,527,453,426,425,468,472,546,545,555,469,637,592,600,509,567,470,601,588,558,466,635,521,646,587,623,526,553,534,393,511,490,484,482,432,423,390,389,11,397,382,622,618,455,429,428,424,502,108,105,104,103,102,91,87,644,507,505,584,551,360,569,563,604,638,485,573,467,639,613,625,2,438,427,552,109,89,606,513,417,489,106,96,93,92,88])).
% 4.78/4.87 cnf(1530,plain,
% 4.78/4.87 (~P6(f27(x15301),f17(f17(f17(f38(a28,x15302,a42,a41)))),a41)),
% 4.78/4.87 inference(scs_inference,[],[142,665,1287,1293,1295,1297,1299,1301,1303,1305,1307,1501,115,118,306,281,1384,294,291,206,1346,1393,1396,1479,317,174,298,325,173,228,212,1367,1482,257,255,123,227,185,197,215,217,141,299,155,1357,1380,303,1353,159,150,1349,1361,164,147,148,1437,1443,1445,1447,1503,156,1439,1518,260,1311,259,1371,1377,320,120,117,121,143,112,301,111,125,216,315,116,322,200,139,198,318,300,1071,1134,766,792,1366,851,855,863,1374,1452,1004,1138,694,1321,1381,1006,697,1426,809,670,818,976,1341,1085,1087,1002,798,1141,1143,460,459,99,98,97,95,94,90,86,85,391,540,539,527,453,426,425,468,472,546,545,555,469,637,592,600,509,567,470,601,588,558,466,635,521,646,587,623,526,553,534,393,511,490,484,482,432,423,390,389,11,397,382,622,618,455,429,428,424,502,108,105,104,103,102,91,87,644,507,505,584,551,360,569,563,604,638,485,573,467,639,613,625,2,438,427,552,109,89,606,513,417,489,106,96,93,92,88,3,451,542,488])).
% 4.78/4.87 cnf(1531,plain,
% 4.78/4.87 (P8(x15311,x15311,f43(x15312,a1))),
% 4.78/4.87 inference(rename_variables,[],[155])).
% 4.78/4.87 cnf(1533,plain,
% 4.78/4.87 (~P6(f29(x15331,x15332),f11(f3(a2)),x15333)),
% 4.78/4.87 inference(scs_inference,[],[142,665,1287,1293,1295,1297,1299,1301,1303,1305,1307,1501,115,118,306,281,1384,294,291,206,1346,1393,1396,1479,317,174,298,325,173,228,212,1367,1482,257,255,123,227,185,197,215,217,141,299,155,1357,1380,303,1353,159,150,1349,1361,164,147,148,1437,1443,1445,1447,1503,156,1439,1518,260,1311,259,1371,1377,320,120,117,121,143,112,301,111,125,216,315,116,322,200,139,198,318,300,1071,1134,766,792,1366,851,855,863,1374,1452,1004,1138,694,1321,1381,1006,697,1426,809,670,818,976,1341,1085,1087,1002,798,1141,1143,460,459,99,98,97,95,94,90,86,85,391,540,539,527,453,426,425,468,472,546,545,555,469,637,592,600,509,567,470,601,588,558,466,635,521,646,587,623,526,553,534,393,511,490,484,482,432,423,390,389,11,397,382,622,618,455,429,428,424,502,108,105,104,103,102,91,87,644,507,505,584,551,360,569,563,604,638,485,573,467,639,613,625,2,438,427,552,109,89,606,513,417,489,106,96,93,92,88,3,451,542,488,385])).
% 4.78/4.87 cnf(1544,plain,
% 4.78/4.87 (P6(f25(x15441),f17(x15442),a41)),
% 4.78/4.87 inference(rename_variables,[],[150])).
% 4.78/4.87 cnf(1546,plain,
% 4.78/4.87 (~P6(f9(f3(x15461),f29(x15462,x15463),x15461),f18(f4(a21,f3(a2))),a41)),
% 4.78/4.87 inference(scs_inference,[],[142,665,1287,1293,1295,1297,1299,1301,1303,1305,1307,1501,115,118,306,281,1384,294,291,206,1346,1393,1396,1479,317,174,298,325,173,228,212,1367,1482,257,255,123,227,185,197,215,217,141,299,155,1357,1380,1531,303,1353,153,159,150,1349,1361,164,1404,147,148,1437,1443,1445,1447,1503,156,1439,1518,260,1311,259,1371,1377,320,120,117,121,143,112,301,111,125,216,315,116,322,200,113,139,198,318,300,1071,1134,766,792,1366,851,855,863,1374,1452,823,1004,1138,694,1321,1381,1006,697,1426,809,670,818,976,1341,1085,1087,1002,798,1141,1143,460,459,99,98,97,95,94,90,86,85,391,540,539,527,453,426,425,468,472,546,545,555,469,637,592,600,509,567,470,601,588,558,466,635,521,646,587,623,526,553,534,393,511,490,484,482,432,423,390,389,11,397,382,622,618,455,429,428,424,502,108,105,104,103,102,91,87,644,507,505,584,551,360,569,563,604,638,485,573,467,639,613,625,2,438,427,552,109,89,606,513,417,489,106,96,93,92,88,3,451,542,488,385,483,392,541,586,458])).
% 4.78/4.87 cnf(1551,plain,
% 4.78/4.87 (~P6(f29(f32(f36(x15511),x15512),x15513),f17(f38(a28,a31,a42,a41)),a41)),
% 4.78/4.87 inference(scs_inference,[],[142,665,1287,1293,1295,1297,1299,1301,1303,1305,1307,1501,115,118,306,281,1384,294,291,206,1346,1393,1396,1479,317,174,298,325,173,228,212,1367,1482,257,255,123,227,185,197,215,217,141,299,155,1357,1380,1531,303,1353,153,159,150,1349,1361,1544,164,1404,324,147,148,1437,1443,1445,1447,1503,156,1439,1518,260,1311,259,1371,1377,320,120,117,121,143,112,301,111,125,216,315,116,322,200,113,139,198,318,300,1071,1134,766,792,1366,851,855,863,1374,1452,823,1004,1138,694,1321,1381,1006,697,1426,809,670,818,976,1341,1085,1087,1002,798,960,1141,1143,460,459,99,98,97,95,94,90,86,85,391,540,539,527,453,426,425,468,472,546,545,555,469,637,592,600,509,567,470,601,588,558,466,635,521,646,587,623,526,553,534,393,511,490,484,482,432,423,390,389,11,397,382,622,618,455,429,428,424,502,108,105,104,103,102,91,87,644,507,505,584,551,360,569,563,604,638,485,573,467,639,613,625,2,438,427,552,109,89,606,513,417,489,106,96,93,92,88,3,451,542,488,385,483,392,541,586,458,499,495])).
% 4.78/4.87 cnf(1583,plain,
% 4.78/4.87 (P6(x15831,f19(f4(a21,f16(f7(x15832,x15833),f9(x15834,f16(f8(x15835,x15836,x15831),x15837,a2),a2),a2))),a41)),
% 4.78/4.87 inference(scs_inference,[],[1310,615,594])).
% 4.78/4.87 cnf(1585,plain,
% 4.78/4.87 (P6(x15851,f19(f4(a21,f16(f6(x15852,x15853),f9(x15854,f16(f8(x15855,x15856,x15851),x15857,a2),a2),a2))),a41)),
% 4.78/4.87 inference(scs_inference,[],[1310,615,594,593])).
% 4.78/4.87 cnf(1587,plain,
% 4.78/4.87 (~P6(f9(f3(x15871),f29(x15872,x15873),x15871),f18(f4(x15874,f3(a2))),a41)),
% 4.78/4.87 inference(scs_inference,[],[1310,1446,615,594,593,476])).
% 4.78/4.87 cnf(1592,plain,
% 4.78/4.87 (P6(x15921,f19(f37(f30(x15922,x15921),x15923,a41)),a41)),
% 4.78/4.87 inference(rename_variables,[],[1320])).
% 4.78/4.87 cnf(1593,plain,
% 4.78/4.87 (P6(x15931,f19(f37(f30(x15931,x15932),x15933,a41)),a41)),
% 4.78/4.87 inference(rename_variables,[],[1495])).
% 4.78/4.87 cnf(1604,plain,
% 4.78/4.87 (P6(x16041,f18(f4(a21,f9(x16042,f16(f8(x16043,x16044,f30(x16041,x16045)),x16046,a2),a2))),a41)),
% 4.78/4.87 inference(scs_inference,[],[212,301,139,1334,1490,1320,1495,1310,1313,1448,1446,142,615,594,593,476,508,556,660,391,540,453,425])).
% 4.78/4.87 cnf(1605,plain,
% 4.78/4.87 (P6(x16051,f18(f4(a21,f9(x16052,f16(f8(x16053,x16054,x16051),x16055,a2),a2))),a41)),
% 4.78/4.87 inference(rename_variables,[],[1313])).
% 4.78/4.87 cnf(1609,plain,
% 4.78/4.87 (P6(x16091,f22(f9(x16092,f16(x16091,x16093,x16094),x16094),x16094),x16094)),
% 4.78/4.87 inference(rename_variables,[],[260])).
% 4.78/4.87 cnf(1616,plain,
% 4.78/4.87 (P6(x16161,f18(f4(a21,f9(x16162,f16(f8(x16163,x16164,x16161),x16165,a2),a2))),a41)),
% 4.78/4.87 inference(rename_variables,[],[1313])).
% 4.78/4.87 cnf(1617,plain,
% 4.78/4.87 (P6(f32(x16171,x16172),f38(x16171,f35(f43(x16173,a1)),x16173,x16174),x16174)),
% 4.78/4.87 inference(rename_variables,[],[259])).
% 4.78/4.87 cnf(1620,plain,
% 4.78/4.87 (P6(x16201,f19(f37(f30(x16202,x16201),x16203,a41)),a41)),
% 4.78/4.87 inference(rename_variables,[],[1320])).
% 4.78/4.87 cnf(1621,plain,
% 4.78/4.87 (P6(x16211,f19(f37(f30(x16211,x16212),x16213,a41)),a41)),
% 4.78/4.87 inference(rename_variables,[],[1495])).
% 4.78/4.87 cnf(1626,plain,
% 4.78/4.87 (~E(f16(x16261,x16262,x16263),x16262)),
% 4.78/4.87 inference(rename_variables,[],[303])).
% 4.78/4.87 cnf(1630,plain,
% 4.78/4.87 (P6(x16301,f18(f4(a21,f9(x16302,f16(f8(x16303,x16304,x16301),x16305,a2),a2))),a41)),
% 4.78/4.87 inference(rename_variables,[],[1313])).
% 4.78/4.87 cnf(1632,plain,
% 4.78/4.87 (P6(x16321,f19(f37(f30(x16322,f30(x16321,x16323)),x16324,a41)),a41)),
% 4.78/4.87 inference(scs_inference,[],[308,235,665,212,303,170,260,259,153,301,139,1334,1300,1490,1457,1320,1592,1620,1495,1593,1621,1310,1313,1605,1616,1448,1446,1410,142,615,594,593,476,508,556,660,391,540,453,425,94,637,592,635,543,534,472,545,568])).
% 4.78/4.87 cnf(1633,plain,
% 4.78/4.87 (P6(x16331,f19(f37(f30(x16332,x16331),x16333,a41)),a41)),
% 4.78/4.87 inference(rename_variables,[],[1320])).
% 4.78/4.87 cnf(1634,plain,
% 4.78/4.87 (P6(x16341,f19(f37(f30(x16341,x16342),x16343,a41)),a41)),
% 4.78/4.87 inference(rename_variables,[],[1495])).
% 4.78/4.87 cnf(1636,plain,
% 4.78/4.87 (~P17(f32(f18(f4(a21,f3(a2))),f29(x16361,x16362)))),
% 4.78/4.87 inference(scs_inference,[],[171,308,235,665,212,303,170,260,259,153,301,139,1334,1300,1417,1490,1457,1320,1592,1620,1495,1593,1621,1310,1313,1605,1616,1448,1446,1410,142,615,594,593,476,508,556,660,391,540,453,425,94,637,592,635,543,534,472,545,568,432])).
% 4.78/4.87 cnf(1637,plain,
% 4.78/4.87 (P8(f18(f4(a21,x16371)),f11(x16371),f43(a41,a1))),
% 4.78/4.87 inference(rename_variables,[],[171])).
% 4.78/4.87 cnf(1639,plain,
% 4.78/4.87 (P6(f30(f32(a28,a45),f25(a47)),f18(f4(a21,a44)),a41)),
% 4.78/4.87 inference(scs_inference,[],[171,308,235,665,212,303,170,260,259,153,216,301,139,1334,1300,1417,1490,1457,1320,1592,1620,1495,1593,1621,1310,1313,1605,1616,1448,1446,1410,142,615,594,593,476,508,556,660,391,540,453,425,94,637,592,635,543,534,472,545,568,432,423])).
% 4.78/4.87 cnf(1641,plain,
% 4.78/4.87 (P17(f32(f18(f4(a21,a44)),f29(a45,f30(f27(a48),f27(a48)))))),
% 4.78/4.87 inference(scs_inference,[],[198,171,308,235,665,212,303,170,260,259,153,216,301,139,1334,1300,1417,1490,1457,1320,1592,1620,1495,1593,1621,1310,1313,1605,1616,1448,1446,1410,142,615,594,593,476,508,556,660,391,540,453,425,94,637,592,635,543,534,472,545,568,432,423,385])).
% 4.78/4.87 cnf(1645,plain,
% 4.78/4.87 (P6(f30(f50(a45,a44),f30(f53(a45,a44),f32(a28,a45))),f11(a44),a41)),
% 4.78/4.87 inference(scs_inference,[],[198,171,308,235,665,212,303,170,260,259,153,216,301,139,1334,1300,1417,1490,1546,1457,1320,1592,1620,1495,1593,1621,1310,1313,1605,1616,1448,1446,1410,142,615,594,593,476,508,556,660,391,540,453,425,94,637,592,635,543,534,472,545,568,432,423,385,539,455])).
% 4.78/4.87 cnf(1647,plain,
% 4.78/4.87 (P15(f20(f20(f20(f20(a1,x16471),x16471),x16472),x16472))),
% 4.78/4.87 inference(scs_inference,[],[198,171,308,235,665,212,303,170,260,259,153,216,301,139,1334,1292,1300,1417,1490,1546,1457,1320,1592,1620,1495,1593,1621,1310,1313,1605,1616,1448,1446,1410,142,615,594,593,476,508,556,660,391,540,453,425,94,637,592,635,543,534,472,545,568,432,423,385,539,455,99])).
% 4.78/4.87 cnf(1648,plain,
% 4.78/4.87 (P9(f20(f20(f20(f20(a1,x16481),x16481),x16482),x16482))),
% 4.78/4.87 inference(scs_inference,[],[198,171,308,235,665,212,303,170,260,259,153,216,301,139,1334,1292,1300,1304,1417,1490,1546,1457,1320,1592,1620,1495,1593,1621,1310,1313,1605,1616,1448,1446,1410,142,615,594,593,476,508,556,660,391,540,453,425,94,637,592,635,543,534,472,545,568,432,423,385,539,455,99,86])).
% 4.78/4.87 cnf(1649,plain,
% 4.78/4.87 (P1(f20(f20(f20(f20(a1,x16491),x16491),x16492),x16492))),
% 4.78/4.87 inference(scs_inference,[],[198,171,308,235,665,212,303,170,260,259,153,216,301,139,1334,1292,1300,1304,1306,1417,1490,1546,1457,1320,1592,1620,1495,1593,1621,1310,1313,1605,1616,1448,1446,1410,142,615,594,593,476,508,556,660,391,540,453,425,94,637,592,635,543,534,472,545,568,432,423,385,539,455,99,86,85])).
% 4.78/4.87 cnf(1653,plain,
% 4.78/4.87 (P9(f43(x16531,a1))),
% 4.78/4.87 inference(rename_variables,[],[863])).
% 4.78/4.87 cnf(1656,plain,
% 4.78/4.87 (P8(f18(f4(a21,x16561)),f11(x16561),f43(a41,a1))),
% 4.78/4.87 inference(rename_variables,[],[171])).
% 4.78/4.87 cnf(1659,plain,
% 4.78/4.87 (P8(x16591,f10(x16592,x16591,f43(x16593,a1)),f43(x16593,a1))),
% 4.78/4.87 inference(rename_variables,[],[205])).
% 4.78/4.87 cnf(1661,plain,
% 4.78/4.87 (~P6(f32(a28,f32(f36(x16611),x16612)),f17(f38(a28,a31,a42,a41)),a41)),
% 4.78/4.87 inference(scs_inference,[],[198,171,1637,161,308,235,258,665,205,212,303,170,260,259,153,216,301,139,1334,1292,1300,1304,1306,1417,1490,1546,1457,1551,1320,1592,1620,1495,1593,1621,1310,1313,1605,1616,1448,1446,1410,863,809,142,615,594,593,476,508,556,660,391,540,453,425,94,637,592,635,543,534,472,545,568,432,423,385,539,455,99,86,85,546,505,509,604,567])).
% 4.78/4.87 cnf(1666,plain,
% 4.78/4.87 (P6(x16661,f22(f9(x16662,f16(x16661,x16663,x16664),x16664),x16664),x16664)),
% 4.78/4.87 inference(rename_variables,[],[260])).
% 4.78/4.87 cnf(1667,plain,
% 4.78/4.87 (~E(f30(x16671,x16672),f29(x16673,x16674))),
% 4.78/4.87 inference(rename_variables,[],[296])).
% 4.78/4.87 cnf(1670,plain,
% 4.78/4.87 (P11(f43(x16701,a1))),
% 4.78/4.87 inference(rename_variables,[],[855])).
% 4.78/4.87 cnf(1671,plain,
% 4.78/4.87 (P8(f19(x16711),f18(x16711),f43(a41,a1))),
% 4.78/4.87 inference(rename_variables,[],[160])).
% 4.78/4.87 cnf(1675,plain,
% 4.78/4.87 (~E(f30(x16751,x16752),f29(x16753,x16754))),
% 4.78/4.87 inference(rename_variables,[],[296])).
% 4.78/4.87 cnf(1682,plain,
% 4.78/4.87 (P6(x16821,f18(f37(x16821,x16822,a41)),a41)),
% 4.78/4.87 inference(scs_inference,[],[198,296,1667,1675,171,1637,1656,161,308,235,258,665,160,205,173,212,303,170,260,1609,259,153,216,301,139,1334,1292,1300,1304,1306,1417,1490,1546,1457,1551,1320,1592,1620,1495,1593,1621,1310,1313,1605,1616,1630,1448,1446,1410,704,855,863,809,142,615,594,593,476,508,556,660,391,540,453,425,94,637,592,635,543,534,472,545,568,432,423,385,539,455,99,86,85,546,505,509,604,567,638,466,623,639,382,526])).
% 4.78/4.87 cnf(1689,plain,
% 4.78/4.87 (P9(f43(x16891,a1))),
% 4.78/4.87 inference(rename_variables,[],[863])).
% 4.78/4.87 cnf(1691,plain,
% 4.78/4.87 (~P6(f30(x16911,f32(a28,a45)),f17(f19(f4(a21,f3(a2)))),a41)),
% 4.78/4.87 inference(scs_inference,[],[198,296,1667,1675,171,1637,1656,161,308,235,258,665,160,205,173,172,212,303,1626,170,260,1609,1666,259,153,216,301,139,318,1334,1292,1300,1304,1306,1417,1490,1546,1457,1551,1320,1592,1620,1633,1495,1593,1621,1310,1313,1605,1616,1630,1448,1446,1410,704,855,863,1653,809,142,615,594,593,476,508,556,660,391,540,453,425,94,637,592,635,543,534,472,545,568,432,423,385,539,455,99,86,85,546,505,509,604,567,638,466,623,639,382,526,470,521,587])).
% 4.78/4.87 cnf(1693,plain,
% 4.78/4.87 (P6(x16931,f19(f37(f30(x16932,x16931),x16933,a41)),a41)),
% 4.78/4.87 inference(rename_variables,[],[1320])).
% 4.78/4.87 cnf(1695,plain,
% 4.78/4.87 (P6(x16951,f19(f37(f30(x16952,f30(x16953,x16951)),x16954,a41)),a41)),
% 4.78/4.87 inference(scs_inference,[],[198,296,1667,1675,171,1637,1656,161,308,235,258,665,160,205,173,172,212,303,1626,170,260,1609,1666,259,153,216,301,139,318,1334,1292,1300,1304,1306,1417,1490,1546,1457,1551,1320,1592,1620,1633,1693,1495,1593,1621,1310,1313,1605,1616,1630,1448,1446,1410,704,855,863,1653,809,142,615,594,593,476,508,556,660,391,540,453,425,94,637,592,635,543,534,472,545,568,432,423,385,539,455,99,86,85,546,505,509,604,567,638,466,623,639,382,526,470,521,587,426])).
% 4.78/4.87 cnf(1696,plain,
% 4.78/4.87 (P6(x16961,f19(f37(f30(x16962,x16961),x16963,a41)),a41)),
% 4.78/4.87 inference(rename_variables,[],[1320])).
% 4.78/4.87 cnf(1700,plain,
% 4.78/4.87 (P8(f17(x17001),f17(f10(x17002,x17001,f43(a41,a1))),f43(a41,a1))),
% 4.78/4.87 inference(scs_inference,[],[198,296,1667,1675,171,1637,1656,161,308,235,258,256,665,160,205,173,172,212,303,1626,170,260,1609,1666,259,153,216,301,139,318,1334,1292,1300,1304,1306,1417,1490,1546,1457,1551,1320,1592,1620,1633,1693,1495,1593,1621,1310,1313,1605,1616,1630,1448,1446,1410,704,855,863,1653,809,142,615,594,593,476,508,556,660,391,540,453,425,94,637,592,635,543,534,472,545,568,432,423,385,539,455,99,86,85,546,505,509,604,567,638,466,623,639,382,526,470,521,587,426,553,552])).
% 4.78/4.87 cnf(1711,plain,
% 4.78/4.87 (~P8(f15(f4(a21,f3(a2)),f43(a41,a1)),f15(f4(a21,a44),f43(a41,a1)),f43(a41,a1))),
% 4.78/4.87 inference(scs_inference,[],[198,296,1667,1675,171,1637,1656,161,329,308,235,258,256,665,160,205,173,172,212,303,1626,170,260,1609,1666,259,153,216,301,139,318,1493,1334,1292,1300,1304,1306,1417,1490,1546,1457,1551,1320,1592,1620,1633,1693,1495,1593,1621,1310,1313,1605,1616,1630,1448,1446,1410,704,855,863,1653,1689,809,142,615,594,593,476,508,556,660,391,540,453,425,94,637,592,635,543,534,472,545,568,432,423,385,539,455,99,86,85,546,505,509,604,567,638,466,623,639,382,526,470,521,587,426,553,552,507,489,551,550])).
% 4.78/4.87 cnf(1714,plain,
% 4.78/4.87 (P8(x17141,f10(x17142,x17141,f43(x17143,a1)),f43(x17143,a1))),
% 4.78/4.87 inference(rename_variables,[],[205])).
% 4.78/4.87 cnf(1719,plain,
% 4.78/4.87 (P6(x17191,f19(f37(f30(x17192,x17191),x17193,a41)),a41)),
% 4.78/4.87 inference(rename_variables,[],[1320])).
% 4.78/4.87 cnf(1721,plain,
% 4.78/4.87 (P6(f32(a28,f32(a33,x17211)),f17(f11(x17212)),a41)),
% 4.78/4.87 inference(scs_inference,[],[198,296,1667,1675,169,171,1637,1656,161,186,329,308,235,258,256,665,160,205,1659,173,172,212,303,1626,170,260,1609,1666,259,153,216,301,139,318,1493,1334,1292,1300,1304,1306,1417,1490,1546,1457,1551,1320,1592,1620,1633,1693,1696,1495,1593,1621,1310,1313,1605,1616,1630,1448,1446,1410,704,855,863,1653,1689,809,142,615,594,593,476,508,556,660,391,540,453,425,94,637,592,635,543,534,472,545,568,432,423,385,539,455,99,86,85,546,505,509,604,567,638,466,623,639,382,526,470,521,587,426,553,552,507,489,551,550,482,458,490,389])).
% 4.78/4.87 cnf(1724,plain,
% 4.78/4.87 (P6(x17241,f11(f9(x17242,f16(f8(x17243,x17244,x17241),x17245,a2),a2)),a41)),
% 4.78/4.87 inference(rename_variables,[],[691])).
% 4.78/4.87 cnf(1738,plain,
% 4.78/4.87 (~P6(f29(x17381,x17382),f4(x17383,f3(a2)),a41)),
% 4.78/4.87 inference(scs_inference,[],[198,296,1667,1675,169,171,1637,1656,161,186,329,308,235,258,132,256,665,160,205,1659,173,172,212,303,1626,170,260,1609,1666,259,1617,320,153,216,301,139,318,1414,1493,1334,1292,1300,1304,1306,1417,1490,1546,1457,1551,1320,1592,1620,1633,1693,1696,1495,1593,1621,691,1724,1310,1313,1605,1616,1630,1448,1446,1410,704,1504,714,855,863,1653,1689,809,142,615,594,593,476,508,556,660,391,540,453,425,94,637,592,635,543,534,472,545,568,432,423,385,539,455,99,86,85,546,505,509,604,567,638,466,623,639,382,526,470,521,587,426,553,552,507,489,551,550,482,458,490,389,429,428,502,87,644,2,390])).
% 4.78/4.87 cnf(1740,plain,
% 4.78/4.87 (~P6(f29(x17401,x17402),f19(f4(x17403,f3(a2))),a41)),
% 4.78/4.87 inference(scs_inference,[],[198,296,1667,1675,169,171,1637,1656,161,186,329,308,235,258,132,256,665,160,205,1659,173,172,212,303,1626,170,260,1609,1666,259,1617,320,153,216,301,139,318,1414,1493,1334,1292,1300,1304,1306,1417,1490,1546,1457,1551,1320,1592,1620,1633,1693,1696,1495,1593,1621,691,1724,1310,1313,1605,1616,1630,1448,1446,1410,704,1504,714,855,863,1653,1689,809,142,615,594,593,476,508,556,660,391,540,453,425,94,637,592,635,543,534,472,545,568,432,423,385,539,455,99,86,85,546,505,509,604,567,638,466,623,639,382,526,470,521,587,426,553,552,507,489,551,550,482,458,490,389,429,428,502,87,644,2,390,397])).
% 4.78/4.87 cnf(1744,plain,
% 4.78/4.87 (P6(x17441,f18(f4(a21,f9(x17442,f16(f8(x17443,x17444,f30(x17445,f30(x17446,x17441))),x17447,a2),a2))),a41)),
% 4.78/4.87 inference(scs_inference,[],[198,296,1667,1675,169,171,1637,1656,161,186,329,308,235,258,132,256,665,160,205,1659,173,172,212,303,1626,170,260,1609,1666,259,1617,320,153,216,301,139,318,1414,1493,1334,1292,1300,1304,1306,1417,1490,1546,1457,1551,1320,1592,1620,1633,1693,1696,1495,1593,1621,691,1724,1310,1313,1605,1616,1630,1431,1448,1446,1410,704,1504,714,855,863,1653,1689,809,142,615,594,593,476,508,556,660,391,540,453,425,94,637,592,635,543,534,472,545,568,432,423,385,539,455,99,86,85,546,505,509,604,567,638,466,623,639,382,526,470,521,587,426,553,552,507,489,551,550,482,458,490,389,429,428,502,87,644,2,390,397,438,424])).
% 4.78/4.87 cnf(1747,plain,
% 4.78/4.87 (P6(x17471,f19(f37(f30(f30(x17471,x17472),x17473),x17474,a41)),a41)),
% 4.78/4.87 inference(scs_inference,[],[198,296,1667,1675,169,171,1637,1656,161,186,329,308,235,258,132,256,665,160,205,1659,173,172,212,303,1626,170,260,1609,1666,259,1617,320,153,216,301,139,318,1414,1493,1334,1292,1300,1304,1306,1417,1490,1546,1457,1551,1320,1592,1620,1633,1693,1696,1495,1593,1621,1634,691,1724,1310,1313,1605,1616,1630,1431,1448,1446,1410,704,1504,714,855,863,1653,1689,809,142,615,594,593,476,508,556,660,391,540,453,425,94,637,592,635,543,534,472,545,568,432,423,385,539,455,99,86,85,546,505,509,604,567,638,466,623,639,382,526,470,521,587,426,553,552,507,489,551,550,482,458,490,389,429,428,502,87,644,2,390,397,438,424,427])).
% 4.78/4.87 cnf(1748,plain,
% 4.78/4.87 (P6(x17481,f19(f37(f30(x17481,x17482),x17483,a41)),a41)),
% 4.78/4.87 inference(rename_variables,[],[1495])).
% 4.78/4.87 cnf(1756,plain,
% 4.78/4.87 (~P17(f32(a24,f32(a24,f9(f3(x17561),f32(f11(f3(a2)),f29(x17562,x17563)),x17561))))),
% 4.78/4.87 inference(scs_inference,[],[198,296,1667,1675,169,171,1637,1656,161,186,329,307,308,235,258,132,256,665,160,1671,205,1659,173,172,212,133,303,1626,170,260,1609,1666,259,1617,320,153,216,301,139,318,1414,1493,1334,1516,1292,1300,1304,1306,1417,1490,1546,1457,1551,1320,1592,1620,1633,1693,1696,1495,1593,1621,1634,691,1724,1310,1313,1605,1616,1630,1431,1448,1446,1410,704,1504,714,851,855,863,1653,1689,809,142,615,594,593,476,508,556,660,391,540,453,425,94,637,592,635,543,534,472,545,568,432,423,385,539,455,99,86,85,546,505,509,604,567,638,466,623,639,382,526,470,521,587,426,553,552,507,489,551,550,482,458,490,389,429,428,502,87,644,2,390,397,438,424,427,467,11,96])).
% 4.78/4.87 cnf(1762,plain,
% 4.78/4.87 (P8(x17621,x17621,f43(x17622,a1))),
% 4.78/4.87 inference(rename_variables,[],[155])).
% 4.78/4.87 cnf(1769,plain,
% 4.78/4.87 (~E(f20(f20(a23,x17691),x17691),a21)),
% 4.78/4.87 inference(scs_inference,[],[198,296,1667,1675,169,171,1637,1656,229,161,186,329,307,308,235,258,666,132,140,256,665,160,1671,205,1659,1714,173,172,212,133,141,155,303,1626,170,260,1609,1666,259,1617,320,153,216,301,139,318,915,1414,1500,1493,1334,1516,1292,1300,1304,1306,1417,1490,1488,1546,1457,1551,1320,1592,1620,1633,1693,1696,1495,1593,1621,1634,691,1724,1310,1313,1605,1616,1630,1431,1448,1446,1410,704,1504,714,851,855,863,1653,1689,809,142,615,594,593,476,508,556,660,391,540,453,425,94,637,592,635,543,534,472,545,568,432,423,385,539,455,99,86,85,546,505,509,604,567,638,466,623,639,382,526,470,521,587,426,553,552,507,489,551,550,482,458,490,389,429,428,502,87,644,2,390,397,438,424,427,467,11,96,93,92,91,88,108,109])).
% 4.78/4.87 cnf(1779,plain,
% 4.78/4.87 (~P6(f29(x17791,x17792),f18(f18(f4(x17793,f3(a2)))),a41)),
% 4.78/4.87 inference(scs_inference,[],[198,296,1667,1675,169,171,1637,1656,229,161,186,329,307,308,235,258,666,132,140,256,665,160,1671,205,1659,1714,173,172,212,133,141,155,1762,303,1626,324,170,260,1609,1666,259,1617,320,153,216,301,139,318,915,946,1414,1500,1493,1334,1516,1292,1300,1304,1306,1417,1490,1488,774,1546,1457,1551,1320,1592,1620,1633,1693,1696,1495,1593,1621,1634,691,1724,1383,1310,1313,1605,1616,1630,1431,1448,1446,1410,704,1504,714,851,855,863,1653,1689,809,142,615,594,593,476,508,556,660,391,540,453,425,94,637,592,635,543,534,472,545,568,432,423,385,539,455,99,86,85,546,505,509,604,567,638,466,623,639,382,526,470,521,587,426,553,552,507,489,551,550,482,458,490,389,429,428,502,87,644,2,390,397,438,424,427,467,11,96,93,92,91,88,108,109,3,449,491,528])).
% 4.78/4.87 cnf(1781,plain,
% 4.78/4.87 (~P8(f19(f37(f30(x17811,f32(a28,a45)),x17812,a41)),f19(f4(a21,a44)),f43(a41,a1))),
% 4.78/4.87 inference(scs_inference,[],[198,296,1667,1675,169,171,1637,1656,229,161,186,329,307,308,235,258,666,132,140,256,665,160,1671,205,1659,1714,173,172,212,133,141,155,1762,303,1626,324,170,260,1609,1666,259,1617,320,153,216,301,139,318,915,946,1414,1500,1493,1334,1516,1292,1300,1304,1306,1417,1490,1488,774,1546,1457,1551,1320,1592,1620,1633,1693,1696,1495,1593,1621,1634,691,1724,1383,1310,1313,1605,1616,1630,1431,1448,1446,1410,704,1504,714,851,855,863,1653,1689,809,142,615,594,593,476,508,556,660,391,540,453,425,94,637,592,635,543,534,472,545,568,432,423,385,539,455,99,86,85,546,505,509,604,567,638,466,623,639,382,526,470,521,587,426,553,552,507,489,551,550,482,458,490,389,429,428,502,87,644,2,390,397,438,424,427,467,11,96,93,92,91,88,108,109,3,449,491,528,454])).
% 4.78/4.87 cnf(1783,plain,
% 4.78/4.87 (P8(x17831,f10(x17832,f10(x17831,x17833,a42),a42),a42)),
% 4.78/4.87 inference(scs_inference,[],[198,296,1667,1675,169,171,1637,1656,229,161,186,329,307,308,235,258,666,132,140,256,665,160,1671,205,1659,1714,173,172,212,133,141,155,1762,303,1626,324,170,260,1609,1666,259,1617,320,153,216,301,113,139,318,915,946,1414,1500,1493,1334,1516,1292,1300,1304,1306,1417,1490,1488,774,1546,1457,1551,1320,1592,1620,1633,1693,1696,1495,1593,1621,1634,691,1724,1383,1310,1313,1605,1616,1630,1431,837,1448,1446,1410,704,1504,714,851,855,863,1653,1689,809,142,615,594,593,476,508,556,660,391,540,453,425,94,637,592,635,543,534,472,545,568,432,423,385,539,455,99,86,85,546,505,509,604,567,638,466,623,639,382,526,470,521,587,426,553,552,507,489,551,550,482,458,490,389,429,428,502,87,644,2,390,397,438,424,427,467,11,96,93,92,91,88,108,109,3,449,491,528,454,477])).
% 4.78/4.87 cnf(1791,plain,
% 4.78/4.87 (P8(x17911,f10(f10(x17911,x17912,a42),x17913,a42),a42)),
% 4.78/4.87 inference(scs_inference,[],[198,296,1667,1675,169,171,1637,1656,229,161,186,329,307,308,235,258,666,132,140,256,665,160,1671,205,1659,1714,173,172,212,133,141,155,1762,303,1626,324,170,260,1609,1666,259,1617,320,153,216,301,113,139,318,915,946,1414,1500,1493,1334,1516,1292,1300,1304,1306,1417,1490,1488,774,1546,1457,1551,1320,1592,1620,1633,1693,1696,1719,1495,1593,1621,1634,1748,691,1724,1383,1310,1313,1605,1616,1630,1431,837,1448,1446,1410,704,1504,714,851,855,863,1653,1689,809,142,615,594,593,476,508,556,660,391,540,453,425,94,637,592,635,543,534,472,545,568,432,423,385,539,455,99,86,85,546,505,509,604,567,638,466,623,639,382,526,470,521,587,426,553,552,507,489,551,550,482,458,490,389,429,428,502,87,644,2,390,397,438,424,427,467,11,96,93,92,91,88,108,109,3,449,491,528,454,477,641,542,478])).
% 4.78/4.87 cnf(1793,plain,
% 4.78/4.87 (~P8(f37(f30(x17931,f32(a28,a45)),x17932,a41),f4(a21,a44),f43(a41,a1))),
% 4.78/4.87 inference(scs_inference,[],[198,296,1667,1675,169,171,1637,1656,229,161,186,329,307,308,235,258,666,132,140,256,665,160,1671,205,1659,1714,173,172,212,133,141,155,1762,303,1626,324,170,260,1609,1666,259,1617,320,153,216,301,113,139,318,915,946,1414,1500,1493,1334,1516,1292,1300,1304,1306,1417,1490,1488,774,1546,1457,1551,1320,1592,1620,1633,1693,1696,1719,1495,1593,1621,1634,1748,691,1724,1383,1310,1313,1605,1616,1630,1431,837,1448,1446,1410,704,1504,714,851,855,863,1653,1689,809,142,615,594,593,476,508,556,660,391,540,453,425,94,637,592,635,543,534,472,545,568,432,423,385,539,455,99,86,85,546,505,509,604,567,638,466,623,639,382,526,470,521,587,426,553,552,507,489,551,550,482,458,490,389,429,428,502,87,644,2,390,397,438,424,427,467,11,96,93,92,91,88,108,109,3,449,491,528,454,477,641,542,478,439])).
% 4.78/4.87 cnf(1795,plain,
% 4.78/4.87 (~P6(f32(a28,a45),f17(f19(f4(a21,f3(a2)))),a41)),
% 4.78/4.87 inference(scs_inference,[],[198,296,1667,1675,169,171,1637,1656,229,161,186,329,307,308,235,258,666,132,140,256,665,160,1671,205,1659,1714,173,172,212,133,141,155,1762,303,1626,150,324,170,260,1609,1666,259,1617,320,153,216,301,113,139,318,915,946,1414,1500,1493,1334,1516,1292,1300,1304,1306,1417,1490,1488,774,1546,1457,1551,1320,1592,1620,1633,1693,1696,1719,1495,1593,1621,1634,1748,691,1724,1383,1310,1313,1605,1616,1630,1431,837,1448,1446,1410,704,1504,714,851,855,863,1653,1689,809,142,615,594,593,476,508,556,660,391,540,453,425,94,637,592,635,543,534,472,545,568,432,423,385,539,455,99,86,85,546,505,509,604,567,638,466,623,639,382,526,470,521,587,426,553,552,507,489,551,550,482,458,490,389,429,428,502,87,644,2,390,397,438,424,427,467,11,96,93,92,91,88,108,109,3,449,491,528,454,477,641,542,478,439,484])).
% 4.78/4.87 cnf(1806,plain,
% 4.78/4.87 (~P6(f8(x18061,x18062,f29(x18063,f30(x18064,f30(x18065,f30(x18066,f29(f32(a33,a47),f30(f32(a28,f32(a33,x18067)),f25(x18068)))))))),f22(a44,a2),a2)),
% 4.78/4.87 inference(scs_inference,[],[198,296,1667,1675,169,171,1637,1656,229,161,186,329,307,308,235,258,666,132,140,256,270,665,160,1671,205,1659,1714,173,172,212,133,141,155,1762,303,1626,150,324,170,260,1609,1666,259,1617,320,153,216,301,113,139,318,915,946,1414,1500,1493,1334,1516,1292,1300,1304,1306,1417,752,1490,1488,774,1546,1457,1551,1320,1592,1620,1633,1693,1696,1719,1495,1593,1621,1634,1748,691,1724,1521,1383,1310,1313,1605,1616,1630,1431,837,1448,1446,1410,704,1504,714,851,855,1670,863,1653,1689,809,142,615,594,593,476,508,556,660,391,540,453,425,94,637,592,635,543,534,472,545,568,432,423,385,539,455,99,86,85,546,505,509,604,567,638,466,623,639,382,526,470,521,587,426,553,552,507,489,551,550,482,458,490,389,429,428,502,87,644,2,390,397,438,424,427,467,11,96,93,92,91,88,108,109,3,449,491,528,454,477,641,542,478,439,484,527,468,422,618])).
% 4.78/4.87 cnf(1808,plain,
% 4.78/4.87 (~E(f20(f20(f16(x18081,f9(f20(f3(x18082),x18082),f16(x18083,f3(x18082),x18082),x18082),x18084),x18082),x18082),f16(x18083,f3(x18082),x18082))),
% 4.78/4.87 inference(scs_inference,[],[198,296,1667,1675,169,171,1637,1656,229,161,186,329,307,308,235,258,666,132,140,256,270,665,160,1671,205,1659,1714,173,172,212,133,141,155,1762,303,1626,150,324,170,260,1609,1666,259,1617,320,153,216,301,113,139,318,762,915,946,1414,1500,1493,1334,1516,1292,1300,1304,1306,1417,752,1490,1488,774,1546,1457,1551,1320,1592,1620,1633,1693,1696,1719,1495,1593,1621,1634,1748,691,1724,1521,1383,1310,1313,1605,1616,1630,1431,837,1448,1446,1410,704,1504,714,851,855,1670,863,1653,1689,809,142,615,594,593,476,508,556,660,391,540,453,425,94,637,592,635,543,534,472,545,568,432,423,385,539,455,99,86,85,546,505,509,604,567,638,466,623,639,382,526,470,521,587,426,553,552,507,489,551,550,482,458,490,389,429,428,502,87,644,2,390,397,438,424,427,467,11,96,93,92,91,88,108,109,3,449,491,528,454,477,641,542,478,439,484,527,468,422,618,417])).
% 4.78/4.87 cnf(1829,plain,
% 4.78/4.87 (P6(f29(f32(a33,a46),f30(f32(a28,a45),f25(a47))),f18(f37(x18291,f4(a21,a44),a41)),a41)),
% 4.78/4.87 inference(scs_inference,[],[216,528])).
% 4.78/4.87 cnf(1835,plain,
% 4.78/4.87 (P8(f4(x18351,f3(a2)),f4(x18351,x18352),f43(a41,a1))),
% 4.78/4.87 inference(rename_variables,[],[172])).
% 4.78/4.87 cnf(1837,plain,
% 4.78/4.87 (P6(x18371,f19(f4(a21,f16(f7(x18372,x18373),f9(x18374,f16(f8(x18375,x18376,f29(f32(a33,a21),x18371)),x18377,a2),a2),a2))),a41)),
% 4.78/4.87 inference(scs_inference,[],[172,216,139,1355,1793,1583,528,454,541,555])).
% 4.78/4.87 cnf(1841,plain,
% 4.78/4.87 (P6(x18411,f22(f9(x18412,f16(x18411,x18413,x18414),x18414),x18414),x18414)),
% 4.78/4.87 inference(rename_variables,[],[260])).
% 4.78/4.87 cnf(1843,plain,
% 4.78/4.87 (P6(x18431,f19(f37(f30(x18432,f30(f29(f32(a33,x18433),x18431),f32(a28,f32(a33,x18433)))),x18434,a41)),a41)),
% 4.78/4.87 inference(scs_inference,[],[298,172,260,153,216,139,1355,1793,1632,1695,1583,528,454,541,555,637,543])).
% 4.78/4.87 cnf(1844,plain,
% 4.78/4.87 (P6(x18441,f19(f37(f30(x18442,f30(x18441,x18443)),x18444,a41)),a41)),
% 4.78/4.87 inference(rename_variables,[],[1632])).
% 4.78/4.87 cnf(1845,plain,
% 4.78/4.87 (P6(x18451,f19(f37(f30(x18452,f30(x18453,x18451)),x18454,a41)),a41)),
% 4.78/4.87 inference(rename_variables,[],[1695])).
% 4.78/4.87 cnf(1851,plain,
% 4.78/4.87 (~P6(f30(x18511,f30(f32(a28,a45),x18512)),f19(f4(a21,a44)),a41)),
% 4.78/4.87 inference(scs_inference,[],[298,157,172,170,260,153,216,139,318,1355,1793,1632,1844,1695,1583,528,454,541,555,637,543,472,568])).
% 4.78/4.87 cnf(1852,plain,
% 4.78/4.87 (P6(x18521,f19(f37(f30(x18522,f30(x18521,x18523)),x18524,a41)),a41)),
% 4.78/4.87 inference(rename_variables,[],[1632])).
% 4.78/4.87 cnf(1856,plain,
% 4.78/4.87 (P6(x18561,f19(f37(f30(x18562,f30(x18561,x18563)),x18564,a41)),a41)),
% 4.78/4.87 inference(rename_variables,[],[1632])).
% 4.78/4.87 cnf(1861,plain,
% 4.78/4.87 (P11(f20(f20(a1,x18611),x18611))),
% 4.78/4.87 inference(scs_inference,[],[298,228,157,172,119,122,170,260,153,665,216,139,318,1355,1793,1632,1844,1852,1695,1845,1583,528,454,541,555,637,543,472,568,556,439,98,97])).
% 4.78/4.87 cnf(1863,plain,
% 4.78/4.87 (P10(f20(f20(a1,x18631),x18631))),
% 4.78/4.87 inference(scs_inference,[],[298,228,157,172,119,122,117,170,260,153,665,216,114,139,318,1355,1793,1632,1844,1852,1695,1845,1583,528,454,541,555,637,543,472,568,556,439,98,97,95,90])).
% 4.78/4.87 cnf(1864,plain,
% 4.78/4.87 (~P6(f29(f32(a33,a23),f30(f32(a28,f32(a33,a23)),f25(x18641))),f18(f4(a21,a44)),a41)),
% 4.78/4.87 inference(scs_inference,[],[298,228,157,172,119,122,117,170,260,153,665,299,216,114,139,318,1355,1793,1632,1844,1852,1695,1845,1583,1419,142,528,454,541,555,637,543,472,568,556,439,98,97,95,90,660])).
% 4.78/4.87 cnf(1867,plain,
% 4.78/4.87 (P6(f29(a45,f30(f27(a48),f27(a48))),f19(f18(f4(a21,a44))),a41)),
% 4.78/4.87 inference(scs_inference,[],[198,298,228,157,172,119,122,117,170,260,153,665,299,216,114,139,318,1355,1793,1632,1844,1852,1695,1845,1583,1419,142,528,454,541,555,637,543,472,568,556,439,98,97,95,90,660,391])).
% 4.78/4.87 cnf(1875,plain,
% 4.78/4.87 (~P8(f35(f43(a41,a1)),f18(f4(a21,f3(a2))),f43(a41,a1))),
% 4.78/4.87 inference(scs_inference,[],[198,298,228,171,157,172,119,122,117,170,260,153,665,320,299,216,114,139,318,1355,1793,1403,1632,1844,1852,1695,1845,1370,1583,1419,1451,142,528,454,541,555,637,543,472,568,556,439,98,97,95,90,660,391,423,453,425,509])).
% 4.78/4.87 cnf(1876,plain,
% 4.78/4.87 (P8(f18(f4(a21,x18761)),f11(x18761),f43(a41,a1))),
% 4.78/4.87 inference(rename_variables,[],[171])).
% 4.78/4.87 cnf(1892,plain,
% 4.78/4.87 (P6(x18921,f18(f4(a21,f9(x18922,f16(f8(x18923,x18924,f30(x18921,x18925)),x18926,a2),a2))),a41)),
% 4.78/4.87 inference(rename_variables,[],[1604])).
% 4.78/4.87 cnf(1894,plain,
% 4.78/4.87 (P6(f29(a45,f30(f27(a48),f27(a48))),f18(f10(x18941,f4(a21,a44),f43(a41,a1))),a41)),
% 4.78/4.87 inference(scs_inference,[],[198,298,228,171,157,190,172,119,120,122,117,170,260,259,153,665,320,299,216,114,139,318,1355,1711,1793,1403,1682,1632,1844,1852,1695,1845,1370,1604,1583,841,1419,1783,1451,700,1313,142,528,454,541,555,637,543,472,568,556,439,98,97,95,90,660,391,423,453,425,509,604,466,635,455,534,545,592])).
% 4.78/4.87 cnf(1895,plain,
% 4.78/4.87 (P6(x18951,f18(f37(x18951,x18952,a41)),a41)),
% 4.78/4.87 inference(rename_variables,[],[1682])).
% 4.78/4.87 cnf(1897,plain,
% 4.78/4.87 (~P6(f30(x18971,f30(f32(a28,a45),x18972)),f17(f19(f4(a21,f3(a2)))),a41)),
% 4.78/4.87 inference(scs_inference,[],[198,298,228,171,157,190,172,1835,119,120,122,117,170,260,259,153,665,320,299,216,114,139,318,1355,1711,1793,1403,1682,1632,1844,1852,1856,1695,1845,1370,1604,1583,841,1419,1783,1451,700,1313,142,528,454,541,555,637,543,472,568,556,439,98,97,95,90,660,391,423,453,425,509,604,466,635,455,534,545,592,587])).
% 4.78/4.87 cnf(1898,plain,
% 4.78/4.87 (P6(x18981,f19(f37(f30(x18982,f30(x18981,x18983)),x18984,a41)),a41)),
% 4.78/4.87 inference(rename_variables,[],[1632])).
% 4.78/4.87 cnf(1901,plain,
% 4.78/4.87 (~P8(f10(f15(f4(a21,f3(a2)),f43(a41,a1)),x19011,f43(a41,a1)),f15(f4(a21,a44),f43(a41,a1)),f43(a41,a1))),
% 4.78/4.87 inference(scs_inference,[],[198,298,228,171,157,190,172,1835,119,120,122,117,170,260,259,153,665,320,299,216,114,139,318,1355,1711,1793,1403,1682,1632,1844,1852,1856,1695,1845,1370,1604,1583,841,1419,1783,1451,700,1313,863,142,528,454,541,555,637,543,472,568,556,439,98,97,95,90,660,391,423,453,425,509,604,466,635,455,534,545,592,587,507])).
% 4.78/4.87 cnf(1902,plain,
% 4.78/4.87 (P9(f43(x19021,a1))),
% 4.78/4.87 inference(rename_variables,[],[863])).
% 4.78/4.87 cnf(1907,plain,
% 4.78/4.87 (P8(f18(f4(a21,x19071)),f11(x19071),f43(a41,a1))),
% 4.78/4.87 inference(rename_variables,[],[171])).
% 4.78/4.87 cnf(1911,plain,
% 4.78/4.87 (P6(f30(f25(x19111),f25(x19111)),f17(x19112),a41)),
% 4.78/4.87 inference(scs_inference,[],[198,330,298,228,171,1876,157,190,172,1835,119,120,122,117,170,260,259,150,153,665,320,299,216,114,139,318,1355,1711,1641,1793,1403,1682,1632,1844,1852,1856,1695,1845,1370,1604,1583,841,1419,1783,1451,700,1521,1313,863,142,528,454,541,555,637,543,472,568,556,439,98,97,95,90,660,391,423,453,425,509,604,466,635,455,534,545,592,587,507,551,432,458,484])).
% 4.78/4.87 cnf(1917,plain,
% 4.78/4.87 (~P6(f30(f29(x19171,x19172),x19173),f11(f3(a2)),a41)),
% 4.78/4.87 inference(scs_inference,[],[198,330,126,298,228,171,1876,157,190,172,1835,119,120,122,117,170,260,1841,259,150,153,665,320,299,216,114,139,318,1355,1711,1636,1641,1793,1403,1682,1632,1844,1852,1856,1695,1845,1370,1604,1583,841,1419,1783,1451,1533,700,1521,1313,863,142,528,454,541,555,637,543,472,568,556,439,98,97,95,90,660,391,423,453,425,509,604,466,635,455,534,545,592,587,507,551,432,458,484,89,385,429])).
% 4.78/4.87 cnf(1918,plain,
% 4.78/4.87 (~P6(f29(x19181,x19182),f11(f3(a2)),x19183)),
% 4.78/4.87 inference(rename_variables,[],[1533])).
% 4.78/4.87 cnf(1927,plain,
% 4.78/4.87 (~P17(f32(f38(a24,f38(f36(x19271),x19272,a39,a42),a42,a42),f32(f36(x19273),x19274)))),
% 4.78/4.87 inference(scs_inference,[],[198,330,126,281,298,228,171,1876,157,190,172,1835,119,120,122,117,170,260,1841,259,150,153,665,320,299,216,114,139,318,1355,1711,1636,1641,1793,1403,1682,1632,1844,1852,1856,1695,1845,1370,1604,1892,1583,841,1419,1783,1451,1533,700,1521,1313,863,1902,142,528,454,541,555,637,543,472,568,556,439,98,97,95,90,660,391,423,453,425,509,604,466,635,455,534,545,592,587,507,551,432,458,484,89,385,429,505,623,382])).
% 4.78/4.87 cnf(1937,plain,
% 4.78/4.87 (~P6(f30(x19371,f27(x19372)),f19(f4(x19373,f3(a2))),a41)),
% 4.78/4.87 inference(scs_inference,[],[198,330,126,281,298,228,171,1876,157,190,172,1835,119,120,122,136,117,170,260,1841,259,150,153,665,320,299,216,114,139,318,1355,1711,1636,1641,1793,1403,1530,676,1682,1632,1844,1852,1856,1695,1845,1370,1604,1892,1583,841,1419,1783,1451,1533,700,1521,1313,863,1902,142,528,454,541,555,637,543,472,568,556,439,98,97,95,90,660,391,423,453,425,509,604,466,635,455,534,545,592,587,507,551,432,458,484,89,385,429,505,623,382,526,502,567,426])).
% 4.78/4.87 cnf(1944,plain,
% 4.78/4.87 (~P6(f30(f27(x19441),x19442),f19(f4(x19443,f3(a2))),a41)),
% 4.78/4.87 inference(scs_inference,[],[198,330,126,281,298,228,171,1876,157,190,172,1835,119,120,122,136,117,170,260,1841,259,150,319,153,665,320,299,216,114,139,318,1355,1711,1365,1636,1641,1793,1403,1530,676,1682,1895,1632,1844,1852,1856,1695,1845,1370,1604,1892,1583,841,1419,1783,1451,1533,700,1521,1313,863,1902,142,528,454,541,555,637,543,472,568,556,439,98,97,95,90,660,391,423,453,425,509,604,466,635,455,534,545,592,587,507,551,432,458,484,89,385,429,505,623,382,526,502,567,426,553,489,427])).
% 4.78/4.87 cnf(1951,plain,
% 4.78/4.87 (P8(f4(x19511,x19512),f4(x19511,f16(x19513,x19512,a2)),f43(a41,a1))),
% 4.78/4.87 inference(rename_variables,[],[228])).
% 4.78/4.87 cnf(1957,plain,
% 4.78/4.87 (~P6(f30(x19571,f29(x19572,x19573)),f11(f3(a2)),a41)),
% 4.78/4.87 inference(scs_inference,[],[198,191,330,126,281,298,228,1951,171,1876,157,190,172,1835,119,120,122,136,117,170,260,1841,259,150,319,143,153,665,320,299,216,114,139,318,1355,1711,1365,1636,1641,1793,1403,1530,1691,676,1682,1895,1632,1844,1852,1856,1695,1845,1370,1604,1892,1583,841,1419,1783,1451,1533,1918,700,1521,1313,851,863,1902,142,528,454,541,555,637,543,472,568,556,439,98,97,95,90,660,391,423,453,425,509,604,466,635,455,534,545,592,587,507,551,432,458,484,89,385,429,505,623,382,526,502,567,426,553,489,427,552,546,482,467,389,428])).
% 4.78/4.87 cnf(1962,plain,
% 4.78/4.87 (P6(x19621,f18(f37(f30(x19622,f30(x19621,x19623)),x19624,a41)),a41)),
% 4.78/4.87 inference(scs_inference,[],[198,191,330,126,281,298,228,1951,171,1876,157,190,172,1835,119,120,122,136,117,170,260,1841,259,150,319,143,153,665,320,299,216,114,139,318,1355,1711,1365,1636,1641,1793,1403,1530,1691,676,1682,1895,1632,1844,1852,1856,1898,1695,1845,1370,1604,1892,1583,841,1419,1783,1451,1318,1533,1918,700,1521,1313,851,863,1902,142,528,454,541,555,637,543,472,568,556,439,98,97,95,90,660,391,423,453,425,509,604,466,635,455,534,545,592,587,507,551,432,458,484,89,385,429,505,623,382,526,502,567,426,553,489,427,552,546,482,467,389,428,438,397])).
% 4.78/4.87 cnf(1973,plain,
% 4.78/4.87 (~E(f11(x19731),f17(f38(a28,a31,a42,a41)))),
% 4.78/4.87 inference(scs_inference,[],[198,180,191,330,126,281,298,228,1951,171,1876,1907,157,190,165,172,1835,119,120,122,136,117,170,260,1841,259,150,319,143,153,665,320,299,216,114,139,318,1355,1711,1365,1636,1641,1793,1403,1530,1691,676,1682,1895,1632,1844,1852,1856,1898,1695,1845,1370,1604,1892,1583,841,1419,1783,1661,1451,1318,1533,1918,700,1521,1313,851,863,1902,142,528,454,541,555,637,543,472,568,556,439,98,97,95,90,660,391,423,453,425,509,604,466,635,455,534,545,592,587,507,551,432,458,484,89,385,429,505,623,382,526,502,567,426,553,489,427,552,546,482,467,389,428,438,397,424,390,87,93,91,88])).
% 4.78/4.87 cnf(2020,plain,
% 4.78/4.87 (~P6(f30(f30(x20201,f30(f32(a28,a45),x20202)),f27(x20203)),f17(f19(f4(a21,f3(a2)))),a41)),
% 4.78/4.87 inference(scs_inference,[],[1897,1937,487])).
% 4.78/4.87 cnf(2021,plain,
% 4.78/4.87 (~P6(f30(x20211,f27(x20212)),f19(f4(x20213,f3(a2))),a41)),
% 4.78/4.87 inference(rename_variables,[],[1937])).
% 4.78/4.87 cnf(2024,plain,
% 4.78/4.87 (~P6(f32(a24,f32(f36(x20241),x20242)),f38(f36(x20243),x20244,a39,a42),a42)),
% 4.78/4.87 inference(rename_variables,[],[328])).
% 4.78/4.87 cnf(2045,plain,
% 4.78/4.87 (P6(f8(a23,a47,f29(f32(a33,a47),f30(f52(a47,a46,a45,a44),f30(f25(a46),f30(f32(a28,a45),f29(f32(a33,a46),f30(f32(a28,a45),f25(a47)))))))),f22(a44,a2),a2)),
% 4.78/4.87 inference(scs_inference,[],[216,328,213,314,161,157,170,139,300,1897,1937,1944,1851,706,1781,1308,142,487,503,486,541,454,555,439,472,556,660])).
% 4.78/4.87 cnf(2047,plain,
% 4.78/4.87 (P6(f30(f27(a48),f27(a48)),f18(f10(x20471,f4(a21,a44),f43(a41,a1))),a41)),
% 4.78/4.87 inference(scs_inference,[],[216,328,213,314,161,157,170,139,300,1894,1897,1937,1944,1851,706,1781,1308,142,487,503,486,541,454,555,439,472,556,660,423])).
% 4.78/4.87 cnf(2054,plain,
% 4.78/4.87 (P6(f32(a28,f32(f36(x20541),x20542)),f19(f4(a21,x20543)),a41)),
% 4.78/4.87 inference(rename_variables,[],[200])).
% 4.78/4.87 cnf(2056,plain,
% 4.78/4.87 (~P6(f30(x20561,f27(x20562)),f4(x20563,f3(a2)),a41)),
% 4.78/4.87 inference(scs_inference,[],[216,328,213,314,161,308,234,157,170,200,139,300,318,1894,1897,1937,2021,1944,1851,706,1781,804,1308,142,487,503,486,541,454,555,439,472,556,660,423,637,534,568,391])).
% 4.78/4.87 cnf(2068,plain,
% 4.78/4.87 (~P6(f30(f30(f29(x20681,x20682),x20683),x20684),f11(f3(a2)),a41)),
% 4.78/4.87 inference(scs_inference,[],[216,328,2024,213,314,161,308,234,157,173,170,200,139,300,318,1927,1323,1894,1897,1937,2021,1944,1917,1851,706,1781,804,1308,142,487,503,486,541,454,555,439,472,556,660,423,637,534,568,391,432,551,622,458,385,429])).
% 4.78/4.87 cnf(2072,plain,
% 4.78/4.87 (~P6(f32(a28,f32(a33,a47)),f18(f4(a21,f3(a2))),a41)),
% 4.78/4.87 inference(scs_inference,[],[216,328,2024,213,314,161,308,234,157,173,170,143,200,301,139,300,318,1927,1323,1894,1779,1897,1937,2021,1944,1917,1851,706,1781,804,1308,142,487,503,486,541,454,555,439,472,556,660,423,637,534,568,391,432,551,622,458,385,429,425,545])).
% 4.78/4.87 cnf(2074,plain,
% 4.78/4.87 (~P8(f10(x20741,f10(f15(f4(a21,f3(a2)),f43(a41,a1)),x20742,f43(a41,a1)),f43(a41,a1)),f15(f4(a21,a44),f43(a41,a1)),f43(a41,a1))),
% 4.78/4.87 inference(scs_inference,[],[216,328,2024,213,314,161,308,234,205,157,173,170,143,200,301,139,300,318,1901,1927,1323,1894,1779,1897,1937,2021,1944,1917,1851,706,1781,804,1308,142,487,503,486,541,454,555,439,472,556,660,423,637,534,568,391,432,551,622,458,385,429,425,545,509])).
% 4.78/4.87 cnf(2075,plain,
% 4.78/4.87 (P8(x20751,f10(x20752,x20751,f43(x20753,a1)),f43(x20753,a1))),
% 4.78/4.87 inference(rename_variables,[],[205])).
% 4.78/4.87 cnf(2078,plain,
% 4.78/4.87 (P6(x20781,f22(f9(x20782,f16(x20781,x20783,x20784),x20784),x20784),x20784)),
% 4.78/4.87 inference(rename_variables,[],[260])).
% 4.78/4.87 cnf(2081,plain,
% 4.78/4.87 (P8(f22(x20811,x20812),f22(f16(x20813,x20811,x20812),x20812),f43(x20812,a1))),
% 4.78/4.87 inference(rename_variables,[],[229])).
% 4.78/4.88 cnf(2091,plain,
% 4.78/4.88 (P6(f32(x20911,x20912),f38(x20911,f35(f43(x20913,a1)),x20913,x20914),x20914)),
% 4.78/4.88 inference(rename_variables,[],[259])).
% 4.78/4.88 cnf(2096,plain,
% 4.78/4.88 (~P6(f30(x20961,f29(x20962,x20963)),f19(f4(x20964,f3(a2))),a41)),
% 4.78/4.88 inference(scs_inference,[],[216,328,2024,213,314,229,161,308,234,205,2075,157,173,172,170,260,259,150,143,200,301,139,300,318,1056,1901,1927,1323,1894,1779,1897,1740,1937,2021,1944,1829,1917,1851,706,1781,804,1308,855,142,487,503,486,541,454,555,439,472,556,660,423,637,534,568,391,432,551,622,458,385,429,425,545,509,604,466,587,453,644,592,426])).
% 4.78/4.88 cnf(2099,plain,
% 4.78/4.88 (P6(x20991,f22(f9(x20992,f16(x20991,x20993,x20994),x20994),x20994),x20994)),
% 4.78/4.88 inference(rename_variables,[],[260])).
% 4.78/4.88 cnf(2110,plain,
% 4.78/4.88 (~P8(f18(f10(f4(a21,a44),x21101,f43(a41,a1))),f18(f4(a21,f3(a2))),f43(a41,a1))),
% 4.78/4.88 inference(scs_inference,[],[216,328,2024,213,314,229,161,308,257,234,205,2075,157,173,172,170,260,2078,259,150,143,200,113,301,139,300,318,1056,1901,845,1927,1323,1894,1779,1897,1740,1937,2021,1944,1867,1829,1791,1917,1851,706,1769,1781,804,1308,1451,855,851,142,487,503,486,541,454,555,439,472,556,660,423,637,534,568,391,432,551,622,458,385,429,425,545,509,604,466,587,453,644,592,426,470,427,507,484,490,467])).
% 4.78/4.88 cnf(2111,plain,
% 4.78/4.88 (P8(f10(f18(x21111),f18(x21112),f43(a41,a1)),f18(f10(x21111,x21112,f43(a41,a1))),f43(a41,a1))),
% 4.78/4.88 inference(rename_variables,[],[257])).
% 4.78/4.88 cnf(2118,plain,
% 4.78/4.88 (E(x21181,f20(f20(x21181,x21182),x21182))),
% 4.78/4.88 inference(rename_variables,[],[665])).
% 4.78/4.88 cnf(2130,plain,
% 4.78/4.88 (~P6(f29(x21301,x21302),f19(f18(f4(x21303,f3(a2)))),a41)),
% 4.78/4.88 inference(scs_inference,[],[216,328,2024,213,314,229,161,308,257,234,205,2075,157,173,172,170,260,2078,259,150,143,665,200,113,301,139,300,318,1114,1056,1901,845,1927,1323,1894,1779,1897,1740,1937,2021,1944,1867,1829,1791,1917,1851,706,1769,1781,804,1308,717,1451,855,851,142,487,503,486,541,454,555,439,472,556,660,423,637,534,568,391,432,551,622,458,385,429,425,545,509,604,466,587,453,644,592,426,470,427,507,484,490,467,389,89,526,428,382,502,505,397])).
% 4.78/4.88 cnf(2141,plain,
% 4.78/4.88 (~P6(f27(x21411),f18(f19(f4(x21412,f3(a2)))),a41)),
% 4.78/4.88 inference(scs_inference,[],[216,328,2024,213,314,229,161,308,257,2111,234,160,205,2075,157,173,172,170,260,2078,259,319,150,143,665,200,113,301,139,300,318,1114,1056,1901,845,1927,1323,1894,1779,1897,1587,1740,1937,2021,1944,1867,1585,1829,1791,1917,1851,706,1769,1781,804,1308,717,1451,855,851,142,487,503,486,541,454,555,439,472,556,660,423,637,534,568,391,432,551,622,458,385,429,425,545,509,604,466,587,453,644,592,426,470,427,507,484,490,467,389,89,526,428,382,502,505,397,424,546,390,553,489])).
% 4.78/4.88 cnf(2142,plain,
% 4.78/4.88 (P8(f19(x21421),f18(x21421),f43(a41,a1))),
% 4.78/4.88 inference(rename_variables,[],[160])).
% 4.78/4.88 cnf(2147,plain,
% 4.78/4.88 (P6(x21471,f22(f9(x21472,f16(x21471,x21473,x21474),x21474),x21474),x21474)),
% 4.78/4.88 inference(rename_variables,[],[260])).
% 4.78/4.88 cnf(2150,plain,
% 4.78/4.88 (P6(x21501,f22(f9(x21502,f16(x21501,x21503,x21504),x21504),x21504),x21504)),
% 4.78/4.88 inference(rename_variables,[],[260])).
% 4.78/4.88 cnf(2151,plain,
% 4.78/4.88 (~E(f27(x21511),f29(x21512,x21513))),
% 4.78/4.88 inference(rename_variables,[],[283])).
% 4.78/4.88 cnf(2157,plain,
% 4.78/4.88 (E(f32(a24,f32(a24,x21571)),x21571)),
% 4.78/4.88 inference(rename_variables,[],[133])).
% 4.78/4.88 cnf(2162,plain,
% 4.78/4.88 (E(f32(a24,f32(a24,x21621)),x21621)),
% 4.78/4.88 inference(rename_variables,[],[133])).
% 4.78/4.88 cnf(2163,plain,
% 4.78/4.88 (~P8(f10(x21631,f15(x21631,f43(a41,a1)),f43(a41,a1)),f18(f4(a21,f3(a2))),f43(a41,a1))),
% 4.78/4.88 inference(scs_inference,[],[216,328,2024,213,127,187,314,283,229,2081,161,308,257,2111,234,215,160,205,2075,157,133,2157,173,172,170,260,2078,2099,2147,259,319,150,143,665,200,113,301,139,300,318,1114,1056,1901,1875,845,1517,1927,1323,1894,1779,1897,1587,1740,1937,2021,1944,1867,1585,1829,1791,1917,1851,706,1769,1781,804,1308,717,1451,855,851,142,487,503,486,541,454,555,439,472,556,660,423,637,534,568,391,432,551,622,458,385,429,425,545,509,604,466,587,453,644,592,426,470,427,507,484,490,467,389,89,526,428,382,502,505,397,424,546,390,553,489,552,482,638,438,87,2,93,92,91])).
% 4.78/4.88 cnf(2168,plain,
% 4.78/4.88 (P7(f18(f18(x21681)),f18(x21681),x21682)),
% 4.78/4.88 inference(scs_inference,[],[216,328,2024,213,326,127,269,187,314,283,229,2081,161,308,257,2111,234,215,160,205,2075,157,133,2157,173,172,141,170,260,2078,2099,2147,259,319,150,143,665,200,113,301,139,300,318,1114,1056,1901,1875,845,1517,1927,1323,1894,1779,1897,1587,1740,1937,2021,1944,1867,1585,1829,1791,1917,1851,706,1769,1781,804,1308,717,1451,855,851,142,487,503,486,541,454,555,439,472,556,660,423,637,534,568,391,432,551,622,458,385,429,425,545,509,604,466,587,453,644,592,426,470,427,507,484,490,467,389,89,526,428,382,502,505,397,424,546,390,553,489,552,482,638,438,87,2,93,92,91,88,109])).
% 4.78/4.88 cnf(2173,plain,
% 4.78/4.88 (~P17(f9(f32(f38(a24,f38(f36(x21731),x21732,a39,a42),a42,a42),f32(f36(x21733),x21734)),f3(x21735),x21735))),
% 4.78/4.88 inference(scs_inference,[],[216,328,2024,313,213,326,127,269,187,314,283,229,2081,161,308,257,2111,234,215,160,205,2075,157,133,2157,2162,666,147,173,172,141,170,260,2078,2099,2147,259,319,150,143,665,200,113,301,139,300,318,1114,1056,1901,1875,845,1517,1927,1323,1894,1779,1897,1587,1740,1937,2021,1944,1867,1585,1829,1791,1917,1851,706,1769,1781,804,1308,717,1451,855,851,142,487,503,486,541,454,555,439,472,556,660,423,637,534,568,391,432,551,622,458,385,429,425,545,509,604,466,587,453,644,592,426,470,427,507,484,490,467,389,89,526,428,382,502,505,397,424,546,390,553,489,552,482,638,438,87,2,93,92,91,88,109,108,11,96])).
% 4.78/4.88 cnf(2192,plain,
% 4.78/4.88 (P6(f29(f32(a33,a47),f30(f52(a47,a46,a45,a44),f30(f25(a46),f30(f32(a28,a45),f29(f32(a33,a46),f30(f32(a28,a45),f25(a47))))))),f18(f4(a21,a44)),a41)),
% 4.78/4.88 inference(scs_inference,[],[216,672,328,2024,313,213,326,127,269,187,314,283,229,2081,161,308,257,2111,234,215,160,205,2075,157,133,2157,2162,666,147,173,172,141,155,170,260,2078,2099,2147,259,319,150,315,143,665,2118,200,2054,113,301,139,300,318,1114,1056,1901,1875,845,1517,1973,1927,1323,1894,1779,1897,1587,1740,1937,2021,1944,1867,1585,1829,712,1791,1917,1851,706,1769,1781,804,1308,717,1451,855,851,142,487,503,486,541,454,555,439,472,556,660,423,637,534,568,391,432,551,622,458,385,429,425,545,509,604,466,587,453,644,592,426,470,427,507,484,490,467,389,89,526,428,382,502,505,397,424,546,390,553,489,552,482,638,438,87,2,93,92,91,88,109,108,11,96,3,566,491,532,533,558,540,539])).
% 4.78/4.88 cnf(2208,plain,
% 4.78/4.88 (P6(f30(f29(f32(a33,x22081),f25(x22082)),f29(f32(a33,x22081),f25(x22082))),f17(f11(x22083)),a41)),
% 4.78/4.88 inference(scs_inference,[],[216,672,328,2024,313,213,326,127,269,187,314,283,2151,229,2081,161,308,257,2111,234,215,160,2142,205,2075,157,133,2157,2162,666,147,173,172,141,155,170,260,2078,2099,2147,259,2091,319,150,315,143,665,2118,200,2054,113,301,139,300,318,1114,1056,1901,1875,845,1517,1973,1927,1323,1894,1779,1897,1587,1740,1937,2021,1944,1867,1401,1585,1829,712,1791,1917,1851,706,1769,1781,1721,804,1308,717,1451,855,851,863,142,487,503,486,541,454,555,439,472,556,660,423,637,534,568,391,432,551,622,458,385,429,425,545,509,604,466,587,453,644,592,426,470,427,507,484,490,467,389,89,526,428,382,502,505,397,424,546,390,553,489,552,482,638,438,87,2,93,92,91,88,109,108,11,96,3,566,491,532,533,558,540,539,527,635,455,521,623,567])).
% 4.78/4.88 cnf(2214,plain,
% 4.78/4.88 (~E(f16(x22141,x22142,x22143),x22142)),
% 4.78/4.88 inference(rename_variables,[],[303])).
% 4.78/4.88 cnf(2219,plain,
% 4.78/4.88 (~E(f16(x22191,x22192,x22193),x22192)),
% 4.78/4.88 inference(rename_variables,[],[303])).
% 4.78/4.88 cnf(2230,plain,
% 4.78/4.88 (~E(f9(x22301,f16(a33,f3(x22302),x22302),x22302),f9(x22303,f16(f36(x22304),f3(x22302),x22302),x22302))),
% 4.78/4.88 inference(scs_inference,[],[216,672,328,2024,313,213,326,127,269,187,314,283,2151,229,2081,161,308,257,2111,234,215,160,2142,205,2075,157,133,2157,2162,666,147,173,172,141,155,303,2214,170,260,2078,2099,2147,2150,259,2091,319,153,150,315,143,665,2118,200,2054,113,301,139,300,318,1114,1056,1901,1875,845,1517,1973,1302,1927,1323,1806,1894,1779,1897,1587,1740,1937,2021,1944,1867,1401,1585,1829,712,1791,1917,1851,706,1769,1781,1721,804,1308,717,1451,1738,855,851,863,142,487,503,486,541,454,555,439,472,556,660,423,637,534,568,391,432,551,622,458,385,429,425,545,509,604,466,587,453,644,592,426,470,427,507,484,490,467,389,89,526,428,382,502,505,397,424,546,390,553,489,552,482,638,438,87,2,93,92,91,88,109,108,11,96,3,566,491,532,533,558,540,539,527,635,455,521,623,567,650,647,591,405,633,628,596,564])).
% 4.78/4.88 cnf(2238,plain,
% 4.78/4.88 (E(f10(x22381,f35(f20(f20(f20(f20(a1,x22382),x22382),x22383),x22383)),f20(f20(f20(f20(a1,x22382),x22382),x22383),x22383)),f35(f20(f20(f20(f20(a1,x22382),x22382),x22383),x22383)))),
% 4.78/4.88 inference(scs_inference,[],[216,672,328,2024,313,213,326,127,269,187,314,283,2151,229,2081,161,308,257,2111,234,215,160,2142,205,2075,157,133,2157,2162,666,147,173,172,141,155,303,2214,170,260,2078,2099,2147,2150,259,2091,319,153,150,315,143,665,2118,200,2054,113,301,139,300,318,1114,1056,1901,1875,1649,845,1517,1973,1302,1927,1323,1806,1894,1779,1897,1587,1740,1937,2021,1944,1867,1401,1585,1829,712,1791,1917,1851,706,1769,1781,1721,804,1308,717,1451,1738,855,851,863,142,487,503,486,541,454,555,439,472,556,660,423,637,534,568,391,432,551,622,458,385,429,425,545,509,604,466,587,453,644,592,426,470,427,507,484,490,467,389,89,526,428,382,502,505,397,424,546,390,553,489,552,482,638,438,87,2,93,92,91,88,109,108,11,96,3,566,491,532,533,558,540,539,527,635,455,521,623,567,650,647,591,405,633,628,596,564,562,366,444,368])).
% 4.78/4.88 cnf(2250,plain,
% 4.78/4.88 (~P6(f8(a23,f16(x22501,a47,x22502),f29(f32(a33,f16(x22501,a47,x22502)),f30(x22503,f30(f25(x22504),f30(f32(a28,a45),x22505))))),f22(a44,a2),a2)),
% 4.78/4.88 inference(scs_inference,[],[216,672,328,2024,313,213,326,127,269,187,314,283,2151,229,2081,161,308,257,2111,234,215,160,2142,205,2075,157,133,2157,2162,666,147,306,173,172,141,155,303,2214,2219,170,260,2078,2099,2147,2150,259,2091,319,153,150,315,143,665,2118,200,2054,113,301,139,300,318,1114,1056,1901,1875,1649,845,1517,1973,1302,1927,1323,1806,1894,1779,1897,1587,1740,1937,2021,1944,1867,1401,1585,1829,712,1791,1917,1851,706,1769,1781,1721,804,1519,1308,717,1451,1738,855,851,863,142,487,503,486,541,454,555,439,472,556,660,423,637,534,568,391,432,551,622,458,385,429,425,545,509,604,466,587,453,644,592,426,470,427,507,484,490,467,389,89,526,428,382,502,505,397,424,546,390,553,489,552,482,638,438,87,2,93,92,91,88,109,108,11,96,3,566,491,532,533,558,540,539,527,635,455,521,623,567,650,647,591,405,633,628,596,564,562,366,444,368,537,442,441,380,451,658])).
% 4.78/4.88 cnf(2270,plain,
% 4.78/4.88 (P8(f18(f4(a21,f20(x22701,a2))),f18(f4(a21,x22701)),f43(a41,a1))),
% 4.78/4.88 inference(rename_variables,[],[212])).
% 4.78/4.88 cnf(2282,plain,
% 4.78/4.88 (P6(x22821,f19(f4(a21,f16(f7(x22822,x22823),f9(x22824,f16(f8(x22825,x22826,f29(f32(a33,a21),x22821)),x22827,a2),a2),a2))),a41)),
% 4.78/4.88 inference(rename_variables,[],[1837])).
% 4.78/4.88 cnf(2287,plain,
% 4.78/4.88 (P6(x22871,f19(f37(f30(f30(x22871,x22872),x22873),x22874,a41)),a41)),
% 4.78/4.88 inference(rename_variables,[],[1747])).
% 4.78/4.88 cnf(2288,plain,
% 4.78/4.88 (P6(x22881,f19(f37(f30(x22882,f30(f29(f32(a33,x22883),x22881),f32(a28,f32(a33,x22883)))),x22884,a41)),a41)),
% 4.78/4.88 inference(rename_variables,[],[1843])).
% 4.78/4.88 cnf(2295,plain,
% 4.78/4.88 (P6(x22951,f22(f9(x22952,f16(x22951,x22953,x22954),x22954),x22954),x22954)),
% 4.78/4.88 inference(rename_variables,[],[260])).
% 4.78/4.88 cnf(2300,plain,
% 4.78/4.88 (P6(x23001,f19(f37(f30(f30(x23001,x23002),x23003),x23004,a41)),a41)),
% 4.78/4.88 inference(rename_variables,[],[1747])).
% 4.78/4.88 cnf(2314,plain,
% 4.78/4.88 (P8(x23141,f10(x23141,x23142,f43(x23143,a1)),f43(x23143,a1))),
% 4.78/4.88 inference(rename_variables,[],[206])).
% 4.78/4.88 cnf(2323,plain,
% 4.78/4.88 (P8(x23231,f10(x23231,x23232,f43(x23233,a1)),f43(x23233,a1))),
% 4.78/4.88 inference(rename_variables,[],[206])).
% 4.78/4.88 cnf(2326,plain,
% 4.78/4.88 (P6(x23261,f19(f37(f30(f30(x23261,x23262),x23263),x23264,a41)),a41)),
% 4.78/4.88 inference(rename_variables,[],[1747])).
% 4.78/4.88 cnf(2329,plain,
% 4.78/4.88 (P8(f18(f4(a21,f20(x23291,a2))),f18(f4(a21,x23291)),f43(a41,a1))),
% 4.78/4.88 inference(rename_variables,[],[212])).
% 4.78/4.88 cnf(2332,plain,
% 4.78/4.88 (P8(x23321,f10(x23321,x23322,f43(x23323,a1)),f43(x23323,a1))),
% 4.78/4.88 inference(rename_variables,[],[206])).
% 4.78/4.88 cnf(2334,plain,
% 4.78/4.88 (~P6(f30(f32(a28,a45),x23341),f17(f19(f4(a21,f3(a2)))),a41)),
% 4.78/4.88 inference(scs_inference,[],[216,255,206,2314,2323,212,2270,170,260,150,139,301,1054,2074,2238,1648,2230,2072,2208,2141,2096,1747,2287,2300,1962,1843,2288,2056,2192,1744,1837,1957,2068,1040,1457,717,1636,1897,863,142,487,49,394,541,533,439,540,527,555,454,556,558,534,637,635,568,539,391,472,423,604,545,592,509,426,432,507,484])).
% 4.78/4.88 cnf(2336,plain,
% 4.78/4.88 (P6(f25(x23361),f17(x23362),a41)),
% 4.78/4.88 inference(rename_variables,[],[150])).
% 4.78/4.88 cnf(2342,plain,
% 4.78/4.88 (~P6(f30(f30(f29(x23421,x23422),x23423),x23424),f18(f4(a21,f3(a2))),a41)),
% 4.78/4.88 inference(scs_inference,[],[216,255,206,2314,2323,212,2270,170,260,150,139,301,1054,2074,2238,1648,2230,2072,2208,2141,1795,2096,1747,2287,2300,1962,1843,2288,2056,1864,2192,1744,1837,1957,2068,1040,1457,717,1636,1897,863,142,487,49,394,541,533,439,540,527,555,454,556,558,534,637,635,568,539,391,472,423,604,545,592,509,426,432,507,484,622,389,458])).
% 4.78/4.88 cnf(2345,plain,
% 4.78/4.88 (P9(f43(x23451,a1))),
% 4.78/4.88 inference(rename_variables,[],[863])).
% 4.78/4.88 cnf(2350,plain,
% 4.78/4.88 (P8(f18(f4(a21,f20(x23501,a2))),f18(f4(a21,x23501)),f43(a41,a1))),
% 4.78/4.88 inference(rename_variables,[],[212])).
% 4.78/4.88 cnf(2357,plain,
% 4.78/4.88 (P6(x23571,f19(f37(f30(f30(x23571,x23572),x23573),x23574,a41)),a41)),
% 4.78/4.88 inference(rename_variables,[],[1747])).
% 4.78/4.88 cnf(2364,plain,
% 4.78/4.88 (P6(x23641,f19(f37(f30(f30(x23641,x23642),x23643),x23644,a41)),a41)),
% 4.78/4.88 inference(rename_variables,[],[1747])).
% 4.78/4.88 cnf(2367,plain,
% 4.78/4.88 (P8(f18(f4(a21,f20(x23671,a2))),f18(f4(a21,x23671)),f43(a41,a1))),
% 4.78/4.88 inference(rename_variables,[],[212])).
% 4.78/4.88 cnf(2375,plain,
% 4.78/4.88 (P8(x23751,f10(x23751,x23752,f43(x23753,a1)),f43(x23753,a1))),
% 4.78/4.88 inference(rename_variables,[],[206])).
% 4.78/4.88 cnf(2378,plain,
% 4.78/4.88 (P8(f18(f4(a21,f20(x23781,a2))),f18(f4(a21,x23781)),f43(a41,a1))),
% 4.78/4.88 inference(rename_variables,[],[212])).
% 4.78/4.88 cnf(2381,plain,
% 4.78/4.88 (~P8(f10(f4(a21,a44),x23811,f43(a41,a1)),f4(a21,f3(a2)),f43(a41,a1))),
% 4.78/4.88 inference(scs_inference,[],[216,255,270,206,2314,2323,2332,212,2270,2329,2350,2367,172,170,260,319,150,139,301,318,1054,2074,2163,2110,2238,1648,2230,1639,1645,2047,2072,2208,2141,1795,2096,1747,2287,2300,2326,2357,1962,1843,2288,2056,1864,2192,1744,1837,1957,2068,1756,1040,1457,717,1636,855,1897,851,863,142,487,49,394,541,533,439,540,527,555,454,556,558,534,637,635,568,539,391,472,423,604,545,592,509,426,432,507,484,622,389,458,521,385,466,429,587,425,453,427,489,424,552,482,467,438])).
% 4.78/4.88 cnf(2388,plain,
% 4.78/4.88 (P8(x23881,f10(x23881,x23882,f43(x23883,a1)),f43(x23883,a1))),
% 4.78/4.88 inference(rename_variables,[],[206])).
% 4.78/4.88 cnf(2405,plain,
% 4.78/4.88 (E(f9(f3(x24051),x24052,x24051),x24052)),
% 4.78/4.88 inference(rename_variables,[],[148])).
% 4.78/4.88 cnf(2407,plain,
% 4.78/4.88 (P6(x24071,f22(f9(x24072,f16(x24071,x24073,x24074),x24074),x24074),x24074)),
% 4.78/4.88 inference(rename_variables,[],[260])).
% 4.78/4.88 cnf(2417,plain,
% 4.78/4.88 (E(f18(f38(a28,x24171,a42,a41)),f38(a28,x24171,a42,a41))),
% 4.78/4.88 inference(rename_variables,[],[261])).
% 4.78/4.88 cnf(2424,plain,
% 4.78/4.88 (E(f18(f19(x24241)),f18(x24241))),
% 4.78/4.88 inference(rename_variables,[],[128])).
% 4.78/4.88 cnf(2431,plain,
% 4.78/4.88 (P10(f43(x24311,a42))),
% 4.78/4.88 inference(scs_inference,[],[216,327,128,261,2417,294,323,115,255,270,206,2314,2323,2332,2375,2388,212,2270,2329,2350,2367,148,2405,160,172,141,170,260,2295,319,150,2336,665,139,301,300,318,2168,1054,2074,2163,2110,2238,1648,2230,1639,2173,1645,2047,2072,2208,2141,2020,1795,2096,1747,2287,2300,2326,2357,2364,1962,1843,2288,2056,1864,2192,1744,1837,2282,1957,2068,1756,1040,1457,717,1636,855,1897,851,863,2345,142,487,49,394,541,533,439,540,527,555,454,556,558,534,637,635,568,539,391,472,423,604,545,592,509,426,432,507,484,622,389,458,521,385,466,429,587,425,453,427,489,424,552,482,467,438,428,526,505,382,546,553,397,390,567,89,87,2,93,109,92,91,88,108,11,96,3,626,465,364,337])).
% 4.78/4.88 cnf(2504,plain,
% 4.78/4.88 (P9(f43(x25041,a42))),
% 4.78/4.88 inference(scs_inference,[],[216,282,327,128,261,2417,294,296,323,325,115,255,270,217,206,2314,2323,2332,2375,2388,212,2270,2329,2350,2367,256,148,2405,160,258,120,306,172,141,155,170,260,2295,2407,303,319,150,2336,153,665,139,301,300,318,2168,1054,2074,2163,2110,2238,1648,2230,1639,2173,1863,2045,1645,2047,2072,2208,2141,2020,1795,2096,1747,2287,2300,2326,2357,2364,1962,1843,2288,2056,1864,2192,1744,1837,2282,2250,1957,2068,1756,1040,833,1488,1304,1457,1431,717,1636,855,1897,851,863,2345,198,142,487,49,394,541,533,439,540,527,555,454,556,558,534,637,635,568,539,391,472,423,604,545,592,509,426,432,507,484,622,389,458,521,385,466,429,587,425,453,427,489,424,552,482,467,438,428,526,505,382,546,553,397,390,567,89,87,2,93,109,92,91,88,108,11,96,3,626,465,364,337,475,457,500,463,544,460,459,497,370,661,660,551,623,624,652,659,340,383,445,516,447,492,419,412,354,353,350,347,344,332,331,376,406,336])).
% 4.78/4.88 cnf(2531,plain,
% 4.78/4.88 (P6(x25311,f19(f10(x25312,f37(f30(f30(x25311,x25313),x25314),x25315,a41),f43(a41,a1))),a41)),
% 4.78/4.88 inference(scs_inference,[],[216,282,327,128,2424,261,2417,294,296,323,325,115,255,270,217,206,2314,2323,2332,2375,2388,212,2270,2329,2350,2367,2378,256,148,2405,160,258,120,306,172,141,155,170,260,2295,2407,303,319,150,2336,153,665,139,301,300,318,2168,1054,2074,2163,2110,2238,1648,2230,1639,2173,1294,1863,2045,1645,2047,2072,2208,2141,2020,1795,2096,1747,2287,2300,2326,2357,2364,1962,1843,2288,2056,1864,2192,1744,1837,2282,2250,1957,2068,1756,1040,833,1488,1292,1304,1457,1431,717,1636,855,1897,851,863,2345,198,142,487,49,394,541,533,439,540,527,555,454,556,558,534,637,635,568,539,391,472,423,604,545,592,509,426,432,507,484,622,389,458,521,385,466,429,587,425,453,427,489,424,552,482,467,438,428,526,505,382,546,553,397,390,567,89,87,2,93,109,92,91,88,108,11,96,3,626,465,364,337,475,457,500,463,544,460,459,497,370,661,660,551,623,624,652,659,340,383,445,516,447,492,419,412,354,353,350,347,344,332,331,376,406,336,598,433,523,446,413,387,351,363,403,367,59,56,25,14,5,554])).
% 4.78/4.88 cnf(2718,plain,
% 4.78/4.88 ($false),
% 4.78/4.88 inference(scs_inference,[],[300,674,284,129,138,668,118,329,123,171,259,306,299,318,1808,1700,2381,1861,859,2431,2504,2342,2531,2130,2334,1647,865,1300,1911,843,1488,1304,2045,198,142,362,559,404,402,341,339,338,335,84,81,80,78,75,73,67,66,65,63,62,58,57,52,51,41,40,36,35,32,30,28,19,18,384,357,440,452,518,517,515,611,595,579,342,408,462,437,456,514,434,443,418,634,621,565,416,415,411,410,409,365,352,349,348,346,345,334,45,24,23,21,20,16,9,498,407,377,474,414,398,39,602,599,597,343,12,583,435,53,38,10,4,661]),
% 4.78/4.88 ['proof']).
% 4.78/4.88 % SZS output end Proof
% 4.78/4.88 % Total time :4.080000s
%------------------------------------------------------------------------------