TSTP Solution File: SWV794-1 by CSE---1.6
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%------------------------------------------------------------------------------
% File : CSE---1.6
% Problem : SWV794-1 : TPTP v8.1.2. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %s %d
% Computer : n020.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 21:35:15 EDT 2023
% Result : Unsatisfiable 3.69s 3.83s
% Output : CNFRefutation 3.69s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SWV794-1 : TPTP v8.1.2. Released v4.1.0.
% 0.07/0.13 % Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %s %d
% 0.13/0.34 % Computer : n020.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Tue Aug 29 04:43:28 EDT 2023
% 0.13/0.34 % CPUTime :
% 0.20/0.57 start to proof:theBenchmark
% 3.69/3.79 %-------------------------------------------
% 3.69/3.79 % File :CSE---1.6
% 3.69/3.79 % Problem :theBenchmark
% 3.69/3.79 % Transform :cnf
% 3.69/3.79 % Format :tptp:raw
% 3.69/3.79 % Command :java -jar mcs_scs.jar %d %s
% 3.69/3.79
% 3.69/3.79 % Result :Theorem 3.010000s
% 3.69/3.79 % Output :CNFRefutation 3.010000s
% 3.69/3.79 %-------------------------------------------
% 3.69/3.79 %------------------------------------------------------------------------------
% 3.69/3.79 % File : SWV794-1 : TPTP v8.1.2. Released v4.1.0.
% 3.69/3.80 % Domain : Software Verification
% 3.69/3.80 % Problem : Needham-Schroeder shared-key protocol 462_1
% 3.69/3.80 % Version : Especial.
% 3.69/3.80 % English :
% 3.69/3.80
% 3.69/3.80 % Refs : [BAN89] Burrows et al. (1989), A Logic of Authentication
% 3.69/3.80 % : [Nip10] Nipkow (2010), Email to Geoff Sutcliffe
% 3.69/3.80 % : [BN10] Boehme & Nipkow (2010), Sledgehammer: Judgement Day
% 3.69/3.80 % Source : [Nip10]
% 3.69/3.80 % Names : NS_Shared-462_1 [Nip10]
% 3.69/3.80
% 3.69/3.80 % Status : Unsatisfiable
% 3.69/3.80 % Rating : 0.33 v8.1.0, 0.32 v7.5.0, 0.42 v7.4.0, 0.41 v7.3.0, 0.33 v7.1.0, 0.25 v7.0.0, 0.40 v6.3.0, 0.27 v6.2.0, 0.40 v6.1.0, 0.50 v6.0.0, 0.70 v5.5.0, 0.85 v5.3.0, 0.89 v5.2.0, 0.81 v5.1.0, 0.82 v5.0.0, 0.79 v4.1.0
% 3.69/3.80 % Syntax : Number of clauses : 573 ( 237 unt; 59 nHn; 329 RR)
% 3.69/3.80 % Number of literals : 1128 ( 300 equ; 552 neg)
% 3.69/3.80 % Maximal clause size : 7 ( 1 avg)
% 3.69/3.80 % Maximal term depth : 10 ( 2 avg)
% 3.69/3.80 % Number of predicates : 18 ( 17 usr; 0 prp; 1-4 aty)
% 3.69/3.80 % Number of functors : 60 ( 60 usr; 20 con; 0-4 aty)
% 3.69/3.80 % Number of variables : 1741 ( 475 sgn)
% 3.69/3.80 % SPC : CNF_UNS_RFO_SEQ_NHN
% 3.69/3.80
% 3.69/3.80 % Comments :
% 3.69/3.80 %------------------------------------------------------------------------------
% 3.69/3.80 cnf(cls_Un__absorb_0,axiom,
% 3.69/3.80 c_Lattices_Oupper__semilattice__class_Osup(V_A,V_A,tc_fun(T_a,tc_bool)) = V_A ).
% 3.69/3.80
% 3.69/3.80 cnf(cls_insert__subset_1,axiom,
% 3.69/3.80 ( c_lessequals(V_A,V_B,tc_fun(T_a,tc_bool))
% 3.69/3.80 | ~ c_lessequals(c_Set_Oinsert(V_x,V_A,T_a),V_B,tc_fun(T_a,tc_bool)) ) ).
% 3.69/3.80
% 3.69/3.80 cnf(cls_subset__insertI2_0,axiom,
% 3.69/3.80 ( c_lessequals(V_A,c_Set_Oinsert(V_b,V_B,T_a),tc_fun(T_a,tc_bool))
% 3.69/3.80 | ~ c_lessequals(V_A,V_B,tc_fun(T_a,tc_bool)) ) ).
% 3.69/3.80
% 3.69/3.80 cnf(cls_append__same__eq_0,axiom,
% 3.69/3.80 ( c_List_Oappend(V_ys,V_xs,T_a) != c_List_Oappend(V_zs,V_xs,T_a)
% 3.69/3.80 | V_ys = V_zs ) ).
% 3.69/3.80
% 3.69/3.80 cnf(cls_same__append__eq_0,axiom,
% 3.69/3.80 ( c_List_Oappend(V_xs,V_ys,T_a) != c_List_Oappend(V_xs,V_zs,T_a)
% 3.69/3.80 | V_ys = V_zs ) ).
% 3.69/3.80
% 3.69/3.80 cnf(cls_event_Osimps_I4_J_0,axiom,
% 3.69/3.80 c_Event_Oevent_OSays(V_agent1,V_agent2,V_msg) != c_Event_Oevent_OGets(V_agent_H,V_msg_H) ).
% 3.69/3.80
% 3.69/3.80 cnf(cls_Un__insert__left_0,axiom,
% 3.69/3.80 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) ).
% 3.69/3.80
% 3.69/3.80 cnf(cls_Un__insert__right_0,axiom,
% 3.69/3.80 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) ).
% 3.69/3.80
% 3.69/3.80 cnf(cls_neg__le__iff__le_0,axiom,
% 3.69/3.80 ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a)
% 3.69/3.80 | c_lessequals(V_a,V_b,T_a)
% 3.69/3.80 | ~ c_lessequals(c_HOL_Ouminus__class_Ouminus(V_b,T_a),c_HOL_Ouminus__class_Ouminus(V_a,T_a),T_a) ) ).
% 3.69/3.80
% 3.69/3.80 cnf(cls_le__imp__neg__le_0,axiom,
% 3.69/3.80 ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a)
% 3.69/3.80 | c_lessequals(c_HOL_Ouminus__class_Ouminus(V_b,T_a),c_HOL_Ouminus__class_Ouminus(V_a,T_a),T_a)
% 3.69/3.80 | ~ c_lessequals(V_a,V_b,T_a) ) ).
% 3.69/3.80
% 3.69/3.80 cnf(cls_Compl__anti__mono_0,axiom,
% 3.69/3.80 ( 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))
% 3.69/3.80 | ~ c_lessequals(V_A,V_B,tc_fun(T_a,tc_bool)) ) ).
% 3.69/3.80
% 3.69/3.80 cnf(cls_Compl__subset__Compl__iff_0,axiom,
% 3.69/3.80 ( c_lessequals(V_B,V_A,tc_fun(T_a,tc_bool))
% 3.69/3.80 | ~ 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)) ) ).
% 3.69/3.80
% 3.69/3.80 cnf(cls_Compl__subset__Compl__iff_1,axiom,
% 3.69/3.80 ( 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))
% 3.69/3.80 | ~ c_lessequals(V_B,V_A,tc_fun(T_a,tc_bool)) ) ).
% 3.69/3.80
% 3.69/3.80 cnf(cls_synth__mono_0,axiom,
% 3.69/3.80 ( c_lessequals(c_Message_Osynth(V_G),c_Message_Osynth(V_H),tc_fun(tc_Message_Omsg,tc_bool))
% 3.69/3.80 | ~ c_lessequals(V_G,V_H,tc_fun(tc_Message_Omsg,tc_bool)) ) ).
% 3.69/3.80
% 3.69/3.80 cnf(cls_append__Nil2_0,axiom,
% 3.69/3.80 c_List_Oappend(V_xs,c_List_Olist_ONil(T_a),T_a) = V_xs ).
% 3.69/3.80
% 3.69/3.80 cnf(cls_eq__Nil__appendI_0,axiom,
% 3.69/3.80 V_x = c_List_Oappend(c_List_Olist_ONil(T_a),V_x,T_a) ).
% 3.69/3.80
% 3.69/3.80 cnf(cls_self__append__conv_1,axiom,
% 3.69/3.80 V_xs = c_List_Oappend(V_xs,c_List_Olist_ONil(T_a),T_a) ).
% 3.69/3.80
% 3.69/3.80 cnf(cls_append__Nil_0,axiom,
% 3.69/3.80 c_List_Oappend(c_List_Olist_ONil(T_a),V_ys,T_a) = V_ys ).
% 3.69/3.80
% 3.69/3.80 cnf(cls_self__append__conv2_1,axiom,
% 3.69/3.80 V_ys = c_List_Oappend(c_List_Olist_ONil(T_a),V_ys,T_a) ).
% 3.69/3.80
% 3.69/3.80 cnf(cls_sup__top__right_0,axiom,
% 3.69/3.80 ( ~ class_Lattices_Obounded__lattice(T_a)
% 3.69/3.80 | c_Lattices_Oupper__semilattice__class_Osup(V_x,c_Orderings_Otop__class_Otop(T_a),T_a) = c_Orderings_Otop__class_Otop(T_a) ) ).
% 3.69/3.80
% 3.69/3.80 cnf(cls_sup__top__left_0,axiom,
% 3.69/3.80 ( ~ class_Lattices_Obounded__lattice(T_a)
% 3.69/3.80 | c_Lattices_Oupper__semilattice__class_Osup(c_Orderings_Otop__class_Otop(T_a),V_x,T_a) = c_Orderings_Otop__class_Otop(T_a) ) ).
% 3.69/3.80
% 3.69/3.80 cnf(cls_Un__UNIV__left_0,axiom,
% 3.69/3.80 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)) ).
% 3.69/3.80
% 3.69/3.80 cnf(cls_Un__UNIV__right_0,axiom,
% 3.69/3.80 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)) ).
% 3.69/3.80
% 3.69/3.80 cnf(cls_parts__Un__subset2_0,axiom,
% 3.69/3.80 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)) ).
% 3.69/3.80
% 3.69/3.80 cnf(cls_subset__insertI_0,axiom,
% 3.69/3.80 c_lessequals(V_B,c_Set_Oinsert(V_a,V_B,T_a),tc_fun(T_a,tc_bool)) ).
% 3.69/3.80
% 3.69/3.80 cnf(cls_sup1E_0,axiom,
% 3.69/3.80 ( hBOOL(hAPP(V_B,V_x))
% 3.69/3.80 | hBOOL(hAPP(V_A,V_x))
% 3.69/3.80 | ~ hBOOL(hAPP(c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_a,tc_bool)),V_x)) ) ).
% 3.69/3.80
% 3.69/3.80 cnf(cls_sup1CI_0,axiom,
% 3.69/3.80 ( hBOOL(hAPP(c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_a,tc_bool)),V_x))
% 3.69/3.80 | ~ hBOOL(hAPP(V_B,V_x)) ) ).
% 3.69/3.80
% 3.69/3.80 cnf(cls_sup1CI_1,axiom,
% 3.69/3.80 ( hBOOL(hAPP(c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_a,tc_bool)),V_x))
% 3.69/3.80 | ~ hBOOL(hAPP(V_A,V_x)) ) ).
% 3.69/3.80
% 3.69/3.80 cnf(cls_Nil__is__append__conv_0,axiom,
% 3.69/3.80 ( c_List_Olist_ONil(T_a) != c_List_Oappend(V_xs,V_ys,T_a)
% 3.69/3.80 | V_xs = c_List_Olist_ONil(T_a) ) ).
% 3.69/3.80
% 3.69/3.80 cnf(cls_Nil__is__append__conv_1,axiom,
% 3.69/3.80 ( c_List_Olist_ONil(T_a) != c_List_Oappend(V_xs,V_ys,T_a)
% 3.69/3.80 | V_ys = c_List_Olist_ONil(T_a) ) ).
% 3.69/3.80
% 3.69/3.80 cnf(cls_append__is__Nil__conv_0,axiom,
% 3.69/3.80 ( c_List_Oappend(V_xs,V_ys,T_a) != c_List_Olist_ONil(T_a)
% 3.69/3.80 | V_xs = c_List_Olist_ONil(T_a) ) ).
% 3.69/3.80
% 3.69/3.80 cnf(cls_append__is__Nil__conv_1,axiom,
% 3.69/3.80 ( c_List_Oappend(V_xs,V_ys,T_a) != c_List_Olist_ONil(T_a)
% 3.69/3.80 | V_ys = c_List_Olist_ONil(T_a) ) ).
% 3.69/3.80
% 3.69/3.80 cnf(cls_ns__sharedp_ONil_0,axiom,
% 3.69/3.80 c_NS__Shared__Mirabelle_Ons__sharedp(c_List_Olist_ONil(tc_Event_Oevent)) ).
% 3.69/3.80
% 3.69/3.80 cnf(cls_synth__Un_0,axiom,
% 3.69/3.80 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)) ).
% 3.69/3.80
% 3.69/3.80 cnf(cls_event_Osimps_I2_J_1,axiom,
% 3.69/3.80 ( c_Event_Oevent_OGets(V_agent,V_msg) != c_Event_Oevent_OGets(V_agent_H,V_msg_H)
% 3.69/3.80 | V_msg = V_msg_H ) ).
% 3.69/3.80
% 3.69/3.80 cnf(cls_event_Osimps_I2_J_0,axiom,
% 3.69/3.80 ( c_Event_Oevent_OGets(V_agent,V_msg) != c_Event_Oevent_OGets(V_agent_H,V_msg_H)
% 3.69/3.80 | V_agent = V_agent_H ) ).
% 3.69/3.80
% 3.69/3.80 cnf(cls_compl__eq__compl__iff_0,axiom,
% 3.69/3.80 ( ~ class_Lattices_Oboolean__algebra(T_a)
% 3.69/3.80 | c_HOL_Ouminus__class_Ouminus(V_x,T_a) != c_HOL_Ouminus__class_Ouminus(V_y,T_a)
% 3.69/3.80 | V_x = V_y ) ).
% 3.69/3.80
% 3.69/3.80 cnf(cls_neg__equal__iff__equal_0,axiom,
% 3.69/3.80 ( ~ class_OrderedGroup_Ogroup__add(T_a)
% 3.69/3.80 | c_HOL_Ouminus__class_Ouminus(V_a,T_a) != c_HOL_Ouminus__class_Ouminus(V_b,T_a)
% 3.69/3.80 | V_a = V_b ) ).
% 3.69/3.80
% 3.69/3.80 cnf(cls_Compl__eq__Compl__iff_0,axiom,
% 3.69/3.80 ( 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))
% 3.69/3.80 | V_A = V_B ) ).
% 3.69/3.80
% 3.69/3.80 cnf(cls_equalityI_0,axiom,
% 3.69/3.80 ( V_A = V_B
% 3.69/3.80 | ~ c_lessequals(V_B,V_A,tc_fun(T_a,tc_bool))
% 3.69/3.80 | ~ c_lessequals(V_A,V_B,tc_fun(T_a,tc_bool)) ) ).
% 3.69/3.80
% 3.69/3.80 cnf(cls_set__eq__subset_2,axiom,
% 3.69/3.80 ( V_A = V_B
% 3.69/3.80 | ~ c_lessequals(V_B,V_A,tc_fun(T_a,tc_bool))
% 3.69/3.80 | ~ c_lessequals(V_A,V_B,tc_fun(T_a,tc_bool)) ) ).
% 3.69/3.80
% 3.69/3.80 cnf(cls_order__eq__iff_2,axiom,
% 3.69/3.80 ( ~ class_Orderings_Oorder(T_a)
% 3.69/3.80 | V_x = V_y
% 3.69/3.80 | ~ c_lessequals(V_y,V_x,T_a)
% 3.69/3.80 | ~ c_lessequals(V_x,V_y,T_a) ) ).
% 3.69/3.80
% 3.69/3.80 cnf(cls_sup__idem_0,axiom,
% 3.69/3.80 ( ~ class_Lattices_Oupper__semilattice(T_a)
% 3.69/3.80 | c_Lattices_Oupper__semilattice__class_Osup(V_x,V_x,T_a) = V_x ) ).
% 3.69/3.80
% 3.69/3.80 cnf(cls_analz__Un_0,axiom,
% 3.69/3.80 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)) ).
% 3.69/3.80
% 3.69/3.80 cnf(cls_parts__Un__subset1_0,axiom,
% 3.69/3.80 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)) ).
% 3.69/3.80
% 3.69/3.80 cnf(cls_synth__subset__iff_1,axiom,
% 3.69/3.80 ( c_lessequals(c_Message_Osynth(V_G),c_Message_Osynth(V_H),tc_fun(tc_Message_Omsg,tc_bool))
% 3.69/3.80 | ~ c_lessequals(V_G,c_Message_Osynth(V_H),tc_fun(tc_Message_Omsg,tc_bool)) ) ).
% 3.69/3.80
% 3.69/3.80 cnf(cls_synth__subset__iff_0,axiom,
% 3.69/3.80 ( c_lessequals(V_G,c_Message_Osynth(V_H),tc_fun(tc_Message_Omsg,tc_bool))
% 3.69/3.80 | ~ c_lessequals(c_Message_Osynth(V_G),c_Message_Osynth(V_H),tc_fun(tc_Message_Omsg,tc_bool)) ) ).
% 3.69/3.80
% 3.69/3.80 cnf(cls_Un__left__commute_0,axiom,
% 3.69/3.80 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)) ).
% 3.69/3.80
% 3.69/3.80 cnf(cls_Un__assoc_0,axiom,
% 3.69/3.80 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)) ).
% 3.69/3.80
% 3.69/3.80 cnf(cls_sup__assoc_0,axiom,
% 3.69/3.80 ( ~ class_Lattices_Oupper__semilattice(T_a)
% 3.69/3.80 | 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) ) ).
% 3.69/3.80
% 3.69/3.80 cnf(cls_sup__left__commute_0,axiom,
% 3.69/3.80 ( ~ class_Lattices_Oupper__semilattice(T_a)
% 3.69/3.80 | 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) ) ).
% 3.69/3.80
% 3.69/3.80 cnf(cls_analz__image__freshK__simps_I65_J_0,axiom,
% 3.69/3.80 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)) ).
% 3.69/3.80
% 3.69/3.80 cnf(cls_inf__sup__aci_I7_J_0,axiom,
% 3.69/3.80 ( ~ class_Lattices_Olattice(T_a)
% 3.69/3.80 | 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) ) ).
% 3.69/3.80
% 3.69/3.80 cnf(cls_inf__sup__aci_I6_J_0,axiom,
% 3.69/3.80 ( ~ class_Lattices_Olattice(T_a)
% 3.69/3.80 | 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) ) ).
% 3.69/3.80
% 3.69/3.80 cnf(cls_Un__subset__iff_2,axiom,
% 3.69/3.80 ( 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))
% 3.69/3.80 | ~ c_lessequals(V_B,V_C,tc_fun(T_a,tc_bool))
% 3.69/3.80 | ~ c_lessequals(V_A,V_C,tc_fun(T_a,tc_bool)) ) ).
% 3.69/3.80
% 3.69/3.80 cnf(cls_Un__upper2_0,axiom,
% 3.69/3.80 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)) ).
% 3.69/3.80
% 3.69/3.80 cnf(cls_Un__upper1_0,axiom,
% 3.69/3.80 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)) ).
% 3.69/3.80
% 3.69/3.80 cnf(cls_Un__least_0,axiom,
% 3.69/3.80 ( 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))
% 3.69/3.80 | ~ c_lessequals(V_B,V_C,tc_fun(T_a,tc_bool))
% 3.69/3.80 | ~ c_lessequals(V_A,V_C,tc_fun(T_a,tc_bool)) ) ).
% 3.69/3.80
% 3.69/3.80 cnf(cls_le__supI_0,axiom,
% 3.69/3.80 ( ~ class_Lattices_Oupper__semilattice(T_a)
% 3.69/3.80 | c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(V_a,V_b,T_a),V_x,T_a)
% 3.69/3.80 | ~ c_lessequals(V_b,V_x,T_a)
% 3.69/3.80 | ~ c_lessequals(V_a,V_x,T_a) ) ).
% 3.69/3.80
% 3.69/3.80 cnf(cls_sup__ge1_0,axiom,
% 3.69/3.80 ( ~ class_Lattices_Oupper__semilattice(T_a)
% 3.69/3.80 | c_lessequals(V_x,c_Lattices_Oupper__semilattice__class_Osup(V_x,V_y,T_a),T_a) ) ).
% 3.69/3.80
% 3.69/3.80 cnf(cls_sup__ge2_0,axiom,
% 3.69/3.80 ( ~ class_Lattices_Oupper__semilattice(T_a)
% 3.69/3.80 | c_lessequals(V_y,c_Lattices_Oupper__semilattice__class_Osup(V_x,V_y,T_a),T_a) ) ).
% 3.69/3.80
% 3.69/3.80 cnf(cls_sup__least_0,axiom,
% 3.69/3.80 ( ~ class_Lattices_Oupper__semilattice(T_a)
% 3.69/3.80 | c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(V_y,V_z,T_a),V_x,T_a)
% 3.69/3.80 | ~ c_lessequals(V_z,V_x,T_a)
% 3.69/3.80 | ~ c_lessequals(V_y,V_x,T_a) ) ).
% 3.69/3.80
% 3.69/3.80 cnf(cls_le__sup__iff_2,axiom,
% 3.69/3.80 ( ~ class_Lattices_Oupper__semilattice(T_a)
% 3.69/3.80 | c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(V_x,V_y,T_a),V_z,T_a)
% 3.69/3.80 | ~ c_lessequals(V_y,V_z,T_a)
% 3.69/3.80 | ~ c_lessequals(V_x,V_z,T_a) ) ).
% 3.69/3.80
% 3.69/3.80 cnf(cls_inf__sup__ord_I4_J_0,axiom,
% 3.69/3.80 ( ~ class_Lattices_Olattice(T_a)
% 3.69/3.80 | c_lessequals(V_y,c_Lattices_Oupper__semilattice__class_Osup(V_x,V_y,T_a),T_a) ) ).
% 3.69/3.80
% 3.69/3.80 cnf(cls_inf__sup__ord_I3_J_0,axiom,
% 3.69/3.80 ( ~ class_Lattices_Olattice(T_a)
% 3.69/3.80 | c_lessequals(V_x,c_Lattices_Oupper__semilattice__class_Osup(V_x,V_y,T_a),T_a) ) ).
% 3.69/3.80
% 3.69/3.80 cnf(cls_append__eq__Cons__conv_5,axiom,
% 3.69/3.80 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) ).
% 3.69/3.80
% 3.69/3.80 cnf(cls_append__Cons_0,axiom,
% 3.69/3.80 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) ).
% 3.69/3.80
% 3.69/3.80 cnf(cls_knows__subset__knows__Gets_0,axiom,
% 3.69/3.80 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)) ).
% 3.69/3.80
% 3.69/3.80 cnf(cls_Compl__partition2_0,axiom,
% 3.69/3.80 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)) ).
% 3.69/3.80
% 3.69/3.80 cnf(cls_Compl__partition_0,axiom,
% 3.69/3.80 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)) ).
% 3.69/3.80
% 3.69/3.80 cnf(cls_compl__sup__top_0,axiom,
% 3.69/3.80 ( ~ class_Lattices_Oboolean__algebra(T_a)
% 3.69/3.80 | 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) ) ).
% 3.69/3.80
% 3.69/3.80 cnf(cls_sup__compl__top_0,axiom,
% 3.69/3.80 ( ~ class_Lattices_Oboolean__algebra(T_a)
% 3.69/3.80 | 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) ) ).
% 3.69/3.80
% 3.69/3.80 cnf(cls_Cons__eq__append__conv_5,axiom,
% 3.69/3.80 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) ).
% 3.69/3.80
% 3.69/3.80 cnf(cls_Cons__eq__appendI_0,axiom,
% 3.69/3.80 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) ).
% 3.69/3.80
% 3.69/3.80 cnf(cls_Un__commute_0,axiom,
% 3.69/3.80 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)) ).
% 3.69/3.80
% 3.69/3.80 cnf(cls_sup__commute_0,axiom,
% 3.69/3.80 ( ~ class_Lattices_Oupper__semilattice(T_a)
% 3.69/3.80 | c_Lattices_Oupper__semilattice__class_Osup(V_x,V_y,T_a) = c_Lattices_Oupper__semilattice__class_Osup(V_y,V_x,T_a) ) ).
% 3.69/3.80
% 3.69/3.80 cnf(cls_inf__sup__aci_I5_J_0,axiom,
% 3.69/3.80 ( ~ class_Lattices_Olattice(T_a)
% 3.69/3.80 | c_Lattices_Oupper__semilattice__class_Osup(V_x,V_y,T_a) = c_Lattices_Oupper__semilattice__class_Osup(V_y,V_x,T_a) ) ).
% 3.69/3.80
% 3.69/3.80 cnf(cls_Un__left__absorb_0,axiom,
% 3.69/3.80 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)) ).
% 3.69/3.80
% 3.69/3.80 cnf(cls_sup__left__idem_0,axiom,
% 3.69/3.80 ( ~ class_Lattices_Oupper__semilattice(T_a)
% 3.69/3.80 | 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) ) ).
% 3.69/3.80
% 3.69/3.80 cnf(cls_inf__sup__aci_I8_J_0,axiom,
% 3.69/3.80 ( ~ class_Lattices_Olattice(T_a)
% 3.69/3.80 | 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) ) ).
% 3.69/3.80
% 3.69/3.80 cnf(cls_event_Osimps_I5_J_0,axiom,
% 3.69/3.80 c_Event_Oevent_OGets(V_agent_H,V_msg_H) != c_Event_Oevent_OSays(V_agent1,V_agent2,V_msg) ).
% 3.69/3.80
% 3.69/3.80 cnf(cls_Nil__is__append__conv_2,axiom,
% 3.69/3.80 c_List_Olist_ONil(T_a) = c_List_Oappend(c_List_Olist_ONil(T_a),c_List_Olist_ONil(T_a),T_a) ).
% 3.69/3.80
% 3.69/3.80 cnf(cls_rev__append_0,axiom,
% 3.69/3.80 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) ).
% 3.69/3.80
% 3.69/3.80 cnf(cls_keysFor__mono_0,axiom,
% 3.69/3.80 ( c_lessequals(c_Message_OkeysFor(V_G),c_Message_OkeysFor(V_H),tc_fun(tc_nat,tc_bool))
% 3.69/3.80 | ~ c_lessequals(V_G,V_H,tc_fun(tc_Message_Omsg,tc_bool)) ) ).
% 3.69/3.80
% 3.69/3.80 cnf(cls_double__complement_0,axiom,
% 3.69/3.80 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 ).
% 3.69/3.80
% 3.69/3.80 cnf(cls_minus__minus_0,axiom,
% 3.69/3.80 ( ~ class_OrderedGroup_Ogroup__add(T_a)
% 3.69/3.80 | c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(V_a,T_a),T_a) = V_a ) ).
% 3.69/3.80
% 3.69/3.80 cnf(cls_double__compl_0,axiom,
% 3.69/3.80 ( ~ class_Lattices_Oboolean__algebra(T_a)
% 3.69/3.80 | c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(V_x,T_a),T_a) = V_x ) ).
% 3.69/3.80
% 3.69/3.80 cnf(cls_equation__minus__iff_0,axiom,
% 3.69/3.80 ( ~ class_OrderedGroup_Ogroup__add(T_a)
% 3.69/3.80 | V_b = c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(V_b,T_a),T_a) ) ).
% 3.69/3.80
% 3.69/3.80 cnf(cls_equation__minus__iff_1,axiom,
% 3.69/3.80 ( ~ class_OrderedGroup_Ogroup__add(T_a)
% 3.69/3.80 | V_a = c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(V_a,T_a),T_a) ) ).
% 3.69/3.80
% 3.69/3.80 cnf(cls_minus__equation__iff_1,axiom,
% 3.69/3.80 ( ~ class_OrderedGroup_Ogroup__add(T_a)
% 3.69/3.80 | c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(V_b,T_a),T_a) = V_b ) ).
% 3.69/3.80
% 3.69/3.80 cnf(cls_le__funD_0,axiom,
% 3.69/3.80 ( ~ class_HOL_Oord(T_b)
% 3.69/3.80 | c_lessequals(hAPP(V_f,V_x),hAPP(V_g,V_x),T_b)
% 3.69/3.80 | ~ c_lessequals(V_f,V_g,tc_fun(T_a,T_b)) ) ).
% 3.69/3.80
% 3.69/3.80 cnf(cls_le__minus__iff_0,axiom,
% 3.69/3.80 ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a)
% 3.69/3.81 | c_lessequals(V_b,c_HOL_Ouminus__class_Ouminus(V_a,T_a),T_a)
% 3.69/3.81 | ~ c_lessequals(V_a,c_HOL_Ouminus__class_Ouminus(V_b,T_a),T_a) ) ).
% 3.69/3.81
% 3.69/3.81 cnf(cls_le__minus__iff_1,axiom,
% 3.69/3.81 ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a)
% 3.69/3.81 | c_lessequals(V_a,c_HOL_Ouminus__class_Ouminus(V_b,T_a),T_a)
% 3.69/3.81 | ~ c_lessequals(V_b,c_HOL_Ouminus__class_Ouminus(V_a,T_a),T_a) ) ).
% 3.69/3.81
% 3.69/3.81 cnf(cls_minus__le__iff_0,axiom,
% 3.69/3.81 ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a)
% 3.69/3.81 | c_lessequals(c_HOL_Ouminus__class_Ouminus(V_b,T_a),V_a,T_a)
% 3.69/3.81 | ~ c_lessequals(c_HOL_Ouminus__class_Ouminus(V_a,T_a),V_b,T_a) ) ).
% 3.69/3.81
% 3.69/3.81 cnf(cls_minus__le__iff_1,axiom,
% 3.69/3.81 ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a)
% 3.69/3.81 | c_lessequals(c_HOL_Ouminus__class_Ouminus(V_a,T_a),V_b,T_a)
% 3.69/3.81 | ~ c_lessequals(c_HOL_Ouminus__class_Ouminus(V_b,T_a),V_a,T_a) ) ).
% 3.69/3.81
% 3.69/3.81 cnf(cls_subset__iff_0,axiom,
% 3.69/3.81 ( c_in(V_t,V_B,T_a)
% 3.69/3.81 | ~ c_in(V_t,V_A,T_a)
% 3.69/3.81 | ~ c_lessequals(V_A,V_B,tc_fun(T_a,tc_bool)) ) ).
% 3.69/3.81
% 3.69/3.81 cnf(cls_set__rev__mp_0,axiom,
% 3.69/3.81 ( c_in(V_x,V_B,T_a)
% 3.69/3.81 | ~ c_lessequals(V_A,V_B,tc_fun(T_a,tc_bool))
% 3.69/3.81 | ~ c_in(V_x,V_A,T_a) ) ).
% 3.69/3.81
% 3.69/3.81 cnf(cls_subsetD_0,axiom,
% 3.69/3.81 ( c_in(V_c,V_B,T_a)
% 3.69/3.81 | ~ c_in(V_c,V_A,T_a)
% 3.69/3.81 | ~ c_lessequals(V_A,V_B,tc_fun(T_a,tc_bool)) ) ).
% 3.69/3.81
% 3.69/3.81 cnf(cls_set__mp_0,axiom,
% 3.69/3.81 ( c_in(V_x,V_B,T_a)
% 3.69/3.81 | ~ c_in(V_x,V_A,T_a)
% 3.69/3.81 | ~ c_lessequals(V_A,V_B,tc_fun(T_a,tc_bool)) ) ).
% 3.69/3.81
% 3.69/3.81 cnf(cls_UnCI_1,axiom,
% 3.69/3.81 ( c_in(V_c,c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_a,tc_bool)),T_a)
% 3.69/3.81 | ~ c_in(V_c,V_A,T_a) ) ).
% 3.69/3.81
% 3.69/3.81 cnf(cls_UnCI_0,axiom,
% 3.69/3.81 ( c_in(V_c,c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_a,tc_bool)),T_a)
% 3.69/3.81 | ~ c_in(V_c,V_B,T_a) ) ).
% 3.69/3.81
% 3.69/3.81 cnf(cls_UnE_0,axiom,
% 3.69/3.81 ( c_in(V_c,V_B,T_a)
% 3.69/3.81 | c_in(V_c,V_A,T_a)
% 3.69/3.81 | ~ c_in(V_c,c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_a,tc_bool)),T_a) ) ).
% 3.69/3.81
% 3.69/3.81 cnf(cls_ComplI_0,axiom,
% 3.69/3.81 ( c_in(V_c,c_HOL_Ouminus__class_Ouminus(V_A,tc_fun(T_a,tc_bool)),T_a)
% 3.69/3.81 | c_in(V_c,V_A,T_a) ) ).
% 3.69/3.81
% 3.69/3.81 cnf(cls_ComplD_0,axiom,
% 3.69/3.81 ( ~ c_in(V_c,V_A,T_a)
% 3.69/3.81 | ~ c_in(V_c,c_HOL_Ouminus__class_Ouminus(V_A,tc_fun(T_a,tc_bool)),T_a) ) ).
% 3.69/3.81
% 3.69/3.81 cnf(cls_msg_Osimps_I45_J_0,axiom,
% 3.69/3.81 c_Message_Omsg_OMPair(V_msg1_H,V_msg2_H) != c_Message_Omsg_OHash(V_msg) ).
% 3.69/3.81
% 3.69/3.81 cnf(cls_msg_Osimps_I44_J_0,axiom,
% 3.69/3.81 c_Message_Omsg_OHash(V_msg) != c_Message_Omsg_OMPair(V_msg1_H,V_msg2_H) ).
% 3.69/3.81
% 3.69/3.81 cnf(cls_parts__Un_0,axiom,
% 3.69/3.81 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)) ).
% 3.69/3.81
% 3.69/3.81 cnf(cls_parts__increasing_0,axiom,
% 3.69/3.81 c_lessequals(V_H,c_Message_Oparts(V_H),tc_fun(tc_Message_Omsg,tc_bool)) ).
% 3.69/3.81
% 3.69/3.81 cnf(cls_parts__mono_0,axiom,
% 3.69/3.81 ( c_lessequals(c_Message_Oparts(V_G),c_Message_Oparts(V_H),tc_fun(tc_Message_Omsg,tc_bool))
% 3.69/3.81 | ~ c_lessequals(V_G,V_H,tc_fun(tc_Message_Omsg,tc_bool)) ) ).
% 3.69/3.81
% 3.69/3.81 cnf(cls_parts__subset__iff_1,axiom,
% 3.69/3.81 ( c_lessequals(c_Message_Oparts(V_G),c_Message_Oparts(V_H),tc_fun(tc_Message_Omsg,tc_bool))
% 3.69/3.81 | ~ c_lessequals(V_G,c_Message_Oparts(V_H),tc_fun(tc_Message_Omsg,tc_bool)) ) ).
% 3.69/3.81
% 3.69/3.81 cnf(cls_parts__subset__iff_0,axiom,
% 3.69/3.81 ( c_lessequals(V_G,c_Message_Oparts(V_H),tc_fun(tc_Message_Omsg,tc_bool))
% 3.69/3.81 | ~ c_lessequals(c_Message_Oparts(V_G),c_Message_Oparts(V_H),tc_fun(tc_Message_Omsg,tc_bool)) ) ).
% 3.69/3.81
% 3.69/3.81 cnf(cls_msg_Osimps_I46_J_0,axiom,
% 3.69/3.81 c_Message_Omsg_OHash(V_msg) != c_Message_Omsg_OCrypt(V_nat_H,V_msg_H) ).
% 3.69/3.81
% 3.69/3.81 cnf(cls_msg_Osimps_I47_J_0,axiom,
% 3.69/3.81 c_Message_Omsg_OCrypt(V_nat_H,V_msg_H) != c_Message_Omsg_OHash(V_msg) ).
% 3.69/3.81
% 3.69/3.81 cnf(cls_msg_Osimps_I39_J_0,axiom,
% 3.69/3.81 c_Message_Omsg_OHash(V_msg_H) != hAPP(c_Message_Omsg_OKey,V_nat) ).
% 3.69/3.81
% 3.69/3.81 cnf(cls_msg_Osimps_I38_J_0,axiom,
% 3.69/3.81 hAPP(c_Message_Omsg_OKey,V_nat) != c_Message_Omsg_OHash(V_msg_H) ).
% 3.69/3.81
% 3.69/3.81 cnf(cls_analz__mono_0,axiom,
% 3.69/3.81 ( c_lessequals(c_Message_Oanalz(V_G),c_Message_Oanalz(V_H),tc_fun(tc_Message_Omsg,tc_bool))
% 3.69/3.81 | ~ c_lessequals(V_G,V_H,tc_fun(tc_Message_Omsg,tc_bool)) ) ).
% 3.69/3.81
% 3.69/3.81 cnf(cls_analz__subset__iff_1,axiom,
% 3.69/3.81 ( c_lessequals(c_Message_Oanalz(V_G),c_Message_Oanalz(V_H),tc_fun(tc_Message_Omsg,tc_bool))
% 3.69/3.81 | ~ c_lessequals(V_G,c_Message_Oanalz(V_H),tc_fun(tc_Message_Omsg,tc_bool)) ) ).
% 3.69/3.81
% 3.69/3.81 cnf(cls_analz__subset__iff_0,axiom,
% 3.69/3.81 ( c_lessequals(V_G,c_Message_Oanalz(V_H),tc_fun(tc_Message_Omsg,tc_bool))
% 3.69/3.81 | ~ c_lessequals(c_Message_Oanalz(V_G),c_Message_Oanalz(V_H),tc_fun(tc_Message_Omsg,tc_bool)) ) ).
% 3.69/3.81
% 3.69/3.81 cnf(cls_analz__increasing_0,axiom,
% 3.69/3.81 c_lessequals(V_H,c_Message_Oanalz(V_H),tc_fun(tc_Message_Omsg,tc_bool)) ).
% 3.69/3.81
% 3.69/3.81 cnf(cls_analz__analz__Un_0,axiom,
% 3.69/3.81 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))) ).
% 3.69/3.81
% 3.69/3.81 cnf(cls_analz__cong_0,axiom,
% 3.69/3.81 ( c_Message_Oanalz(V_H) != c_Message_Oanalz(V_H_H)
% 3.69/3.81 | c_Message_Oanalz(V_G) != c_Message_Oanalz(V_G_H)
% 3.69/3.81 | 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))) ) ).
% 3.69/3.81
% 3.69/3.81 cnf(cls_msg_Osimps_I15_J_0,axiom,
% 3.69/3.81 c_Message_Omsg_OHash(V_msg_H) != c_Message_Omsg_OAgent(V_agent) ).
% 3.69/3.81
% 3.69/3.81 cnf(cls_msg_Osimps_I14_J_0,axiom,
% 3.69/3.81 c_Message_Omsg_OAgent(V_agent) != c_Message_Omsg_OHash(V_msg_H) ).
% 3.69/3.81
% 3.69/3.81 cnf(cls_msg_Osimps_I32_J_0,axiom,
% 3.69/3.81 c_Message_Omsg_ONonce(V_nat) != c_Message_Omsg_OHash(V_msg_H) ).
% 3.69/3.81
% 3.69/3.81 cnf(cls_msg_Osimps_I33_J_0,axiom,
% 3.69/3.81 c_Message_Omsg_OHash(V_msg_H) != c_Message_Omsg_ONonce(V_nat) ).
% 3.69/3.81
% 3.69/3.81 cnf(cls_used__nil__subset_0,axiom,
% 3.69/3.81 c_lessequals(c_Event_Oused(c_List_Olist_ONil(tc_Event_Oevent)),c_Event_Oused(V_evs),tc_fun(tc_Message_Omsg,tc_bool)) ).
% 3.69/3.81
% 3.69/3.81 cnf(cls_Fake__parts__insert_0,axiom,
% 3.69/3.81 ( 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))
% 3.69/3.81 | ~ c_in(V_X,c_Message_Osynth(c_Message_Oanalz(V_H)),tc_Message_Omsg) ) ).
% 3.69/3.81
% 3.69/3.81 cnf(cls_in__set__conv__decomp__first_2,axiom,
% 3.69/3.81 ( 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)
% 3.69/3.81 | c_in(V_x,c_List_Oset(V_xa,T_a),T_a) ) ).
% 3.69/3.81
% 3.69/3.81 cnf(cls_in__set__conv__decomp__last_2,axiom,
% 3.69/3.81 ( 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)
% 3.69/3.81 | c_in(V_x,c_List_Oset(V_xb,T_a),T_a) ) ).
% 3.69/3.81
% 3.69/3.81 cnf(cls_in__set__conv__decomp_1,axiom,
% 3.69/3.81 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) ).
% 3.69/3.81
% 3.69/3.81 cnf(cls_parts__cut_0,axiom,
% 3.69/3.81 ( 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)
% 3.69/3.81 | ~ c_in(V_X,c_Message_Oparts(V_H),tc_Message_Omsg)
% 3.69/3.81 | ~ c_in(V_Y,c_Message_Oparts(c_Set_Oinsert(V_X,V_G,tc_Message_Omsg)),tc_Message_Omsg) ) ).
% 3.69/3.81
% 3.69/3.81 cnf(cls_gen__analz__insert__eq_0,axiom,
% 3.69/3.81 ( c_Message_Oanalz(c_Set_Oinsert(V_X,V_G,tc_Message_Omsg)) = c_Message_Oanalz(V_G)
% 3.69/3.81 | ~ c_lessequals(V_H,V_G,tc_fun(tc_Message_Omsg,tc_bool))
% 3.69/3.81 | ~ c_in(V_X,c_Message_Oanalz(V_H),tc_Message_Omsg) ) ).
% 3.69/3.81
% 3.69/3.81 cnf(cls_rev_Osimps_I2_J_0,axiom,
% 3.69/3.81 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) ).
% 3.69/3.81
% 3.69/3.81 cnf(cls_rev__eq__Cons__iff_0,axiom,
% 3.69/3.81 ( c_List_Orev(V_xs,T_a) != c_List_Olist_OCons(V_y,V_ys,T_a)
% 3.69/3.81 | 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) ) ).
% 3.69/3.81
% 3.69/3.81 cnf(cls_rev__eq__Cons__iff_1,axiom,
% 3.69/3.81 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) ).
% 3.69/3.81
% 3.69/3.81 cnf(cls_analz__insert__Crypt__subset_0,axiom,
% 3.69/3.81 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)) ).
% 3.69/3.81
% 3.69/3.81 cnf(cls_Hash__notin__image__Key_0,axiom,
% 3.69/3.81 ~ c_in(c_Message_Omsg_OHash(V_X),c_Set_Oimage(c_Message_Omsg_OKey,V_A,tc_nat,tc_Message_Omsg),tc_Message_Omsg) ).
% 3.69/3.81
% 3.69/3.81 cnf(cls_knows__Spy__Gets_0,axiom,
% 3.69/3.81 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) ).
% 3.69/3.81
% 3.69/3.81 cnf(cls_knows__subset__knows__Says_0,axiom,
% 3.69/3.81 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)) ).
% 3.69/3.81
% 3.69/3.81 cnf(cls_not__symKeys__priK_0,axiom,
% 3.69/3.81 ~ c_in(hAPP(c_Message_OinvKey,hAPP(c_Public_OpublicKey(V_b),V_A)),c_Message_OsymKeys,tc_nat) ).
% 3.69/3.81
% 3.69/3.81 cnf(cls_knows__subset__knows__Notes_0,axiom,
% 3.69/3.81 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)) ).
% 3.69/3.81
% 3.69/3.81 cnf(cls_analz__image__freshK_2,axiom,
% 3.69/3.81 ( 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)
% 3.69/3.81 | ~ c_in(hAPP(c_Message_Omsg_OKey,V_K),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,V_evs)),tc_Message_Omsg)
% 3.69/3.81 | ~ 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))
% 3.69/3.81 | ~ c_in(V_evs,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent)) ) ).
% 3.69/3.81
% 3.69/3.81 cnf(cls_order__antisym_0,axiom,
% 3.69/3.81 ( ~ class_Orderings_Oorder(T_a)
% 3.69/3.81 | V_x = V_y
% 3.69/3.81 | ~ c_lessequals(V_y,V_x,T_a)
% 3.69/3.81 | ~ c_lessequals(V_x,V_y,T_a) ) ).
% 3.69/3.81
% 3.69/3.81 cnf(cls_order__antisym__conv_0,axiom,
% 3.69/3.81 ( ~ class_Orderings_Oorder(T_a)
% 3.69/3.81 | V_x = V_y
% 3.69/3.81 | ~ c_lessequals(V_x,V_y,T_a)
% 3.69/3.81 | ~ c_lessequals(V_y,V_x,T_a) ) ).
% 3.69/3.81
% 3.69/3.81 cnf(cls_event_Osimps_I8_J_0,axiom,
% 3.69/3.81 c_Event_Oevent_OGets(V_agent,V_msg) != c_Event_Oevent_ONotes(V_agent_H,V_msg_H) ).
% 3.69/3.81
% 3.69/3.81 cnf(cls_sup__absorb1_0,axiom,
% 3.69/3.81 ( ~ class_Lattices_Oupper__semilattice(T_a)
% 3.69/3.81 | c_Lattices_Oupper__semilattice__class_Osup(V_x,V_y,T_a) = V_x
% 3.69/3.81 | ~ c_lessequals(V_y,V_x,T_a) ) ).
% 3.69/3.81
% 3.69/3.81 cnf(cls_le__iff__sup_1,axiom,
% 3.69/3.81 ( ~ class_Lattices_Oupper__semilattice(T_a)
% 3.69/3.81 | c_Lattices_Oupper__semilattice__class_Osup(V_x,V_y,T_a) != V_y
% 3.69/3.81 | c_lessequals(V_x,V_y,T_a) ) ).
% 3.69/3.81
% 3.69/3.81 cnf(cls_le__iff__sup_0,axiom,
% 3.69/3.81 ( ~ class_Lattices_Oupper__semilattice(T_a)
% 3.69/3.81 | c_Lattices_Oupper__semilattice__class_Osup(V_x,V_y,T_a) = V_y
% 3.69/3.81 | ~ c_lessequals(V_x,V_y,T_a) ) ).
% 3.69/3.81
% 3.69/3.81 cnf(cls_Un__absorb1_0,axiom,
% 3.69/3.81 ( c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_a,tc_bool)) = V_B
% 3.69/3.81 | ~ c_lessequals(V_A,V_B,tc_fun(T_a,tc_bool)) ) ).
% 3.69/3.81
% 3.69/3.81 cnf(cls_Un__absorb2_0,axiom,
% 3.69/3.81 ( c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_a,tc_bool)) = V_A
% 3.69/3.81 | ~ c_lessequals(V_B,V_A,tc_fun(T_a,tc_bool)) ) ).
% 3.69/3.81
% 3.69/3.81 cnf(cls_subset__Un__eq_1,axiom,
% 3.69/3.81 ( c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_a,tc_bool)) != V_B
% 3.69/3.81 | c_lessequals(V_A,V_B,tc_fun(T_a,tc_bool)) ) ).
% 3.69/3.81
% 3.69/3.81 cnf(cls_set__append_0,axiom,
% 3.69/3.81 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)) ).
% 3.69/3.81
% 3.69/3.81 cnf(cls_msg_Osimps_I5_J_0,axiom,
% 3.69/3.81 ( c_Message_Omsg_OHash(V_msg) != c_Message_Omsg_OHash(V_msg_H)
% 3.69/3.81 | V_msg = V_msg_H ) ).
% 3.69/3.81
% 3.69/3.81 cnf(cls_analz__image__freshK__simps_I57_J_0,axiom,
% 3.69/3.81 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) ).
% 3.69/3.81
% 3.69/3.81 cnf(cls_Un__mono_0,axiom,
% 3.69/3.81 ( 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))
% 3.69/3.81 | ~ c_lessequals(V_B,V_D,tc_fun(T_a,tc_bool))
% 3.69/3.81 | ~ c_lessequals(V_A,V_C,tc_fun(T_a,tc_bool)) ) ).
% 3.69/3.81
% 3.69/3.81 cnf(cls_subset__UNIV_0,axiom,
% 3.69/3.81 c_lessequals(V_A,c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)) ).
% 3.69/3.81
% 3.69/3.81 cnf(cls_top__greatest_0,axiom,
% 3.69/3.81 ( ~ class_Orderings_Otop(T_a)
% 3.69/3.81 | c_lessequals(V_x,c_Orderings_Otop__class_Otop(T_a),T_a) ) ).
% 3.69/3.81
% 3.69/3.81 cnf(cls_append__self__conv_0,axiom,
% 3.69/3.81 ( c_List_Oappend(V_xs,V_ys,T_a) != V_xs
% 3.69/3.81 | V_ys = c_List_Olist_ONil(T_a) ) ).
% 3.69/3.81
% 3.69/3.81 cnf(cls_self__append__conv_0,axiom,
% 3.69/3.81 ( V_xs != c_List_Oappend(V_xs,V_ys,T_a)
% 3.69/3.81 | V_ys = c_List_Olist_ONil(T_a) ) ).
% 3.69/3.81
% 3.69/3.81 cnf(cls_append__self__conv2_0,axiom,
% 3.69/3.81 ( c_List_Oappend(V_xs,V_ys,T_a) != V_ys
% 3.69/3.81 | V_xs = c_List_Olist_ONil(T_a) ) ).
% 3.69/3.81
% 3.69/3.81 cnf(cls_self__append__conv2_0,axiom,
% 3.69/3.81 ( V_ys != c_List_Oappend(V_xs,V_ys,T_a)
% 3.69/3.81 | V_xs = c_List_Olist_ONil(T_a) ) ).
% 3.69/3.81
% 3.69/3.81 cnf(cls_event_Osimps_I9_J_0,axiom,
% 3.69/3.81 c_Event_Oevent_ONotes(V_agent_H,V_msg_H) != c_Event_Oevent_OGets(V_agent,V_msg) ).
% 3.69/3.81
% 3.69/3.81 cnf(cls_synth__increasing_0,axiom,
% 3.69/3.81 c_lessequals(V_H,c_Message_Osynth(V_H),tc_fun(tc_Message_Omsg,tc_bool)) ).
% 3.69/3.81
% 3.69/3.81 cnf(cls_le__sup__iff_1,axiom,
% 3.69/3.81 ( ~ class_Lattices_Oupper__semilattice(T_a)
% 3.69/3.81 | c_lessequals(V_y,V_z,T_a)
% 3.69/3.81 | ~ c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(V_x,V_y,T_a),V_z,T_a) ) ).
% 3.69/3.81
% 3.69/3.81 cnf(cls_le__sup__iff_0,axiom,
% 3.69/3.81 ( ~ class_Lattices_Oupper__semilattice(T_a)
% 3.69/3.81 | c_lessequals(V_x,V_z,T_a)
% 3.69/3.81 | ~ c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(V_x,V_y,T_a),V_z,T_a) ) ).
% 3.69/3.81
% 3.69/3.81 cnf(cls_le__supI2_0,axiom,
% 3.69/3.81 ( ~ class_Lattices_Oupper__semilattice(T_a)
% 3.69/3.81 | c_lessequals(V_x,c_Lattices_Oupper__semilattice__class_Osup(V_a,V_b,T_a),T_a)
% 3.69/3.81 | ~ c_lessequals(V_x,V_b,T_a) ) ).
% 3.69/3.81
% 3.69/3.81 cnf(cls_le__supI1_0,axiom,
% 3.69/3.81 ( ~ class_Lattices_Oupper__semilattice(T_a)
% 3.69/3.81 | c_lessequals(V_x,c_Lattices_Oupper__semilattice__class_Osup(V_a,V_b,T_a),T_a)
% 3.69/3.81 | ~ c_lessequals(V_x,V_a,T_a) ) ).
% 3.69/3.81
% 3.69/3.81 cnf(cls_le__supE_1,axiom,
% 3.69/3.81 ( ~ class_Lattices_Oupper__semilattice(T_a)
% 3.69/3.81 | c_lessequals(V_b,V_x,T_a)
% 3.69/3.81 | ~ c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(V_a,V_b,T_a),V_x,T_a) ) ).
% 3.69/3.81
% 3.69/3.81 cnf(cls_le__supE_0,axiom,
% 3.69/3.81 ( ~ class_Lattices_Oupper__semilattice(T_a)
% 3.69/3.81 | c_lessequals(V_a,V_x,T_a)
% 3.69/3.81 | ~ c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(V_a,V_b,T_a),V_x,T_a) ) ).
% 3.69/3.81
% 3.69/3.81 cnf(cls_Un__subset__iff_0,axiom,
% 3.69/3.81 ( c_lessequals(V_A,V_C,tc_fun(T_a,tc_bool))
% 3.69/3.81 | ~ 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)) ) ).
% 3.69/3.81
% 3.69/3.81 cnf(cls_Un__subset__iff_1,axiom,
% 3.69/3.81 ( c_lessequals(V_B,V_C,tc_fun(T_a,tc_bool))
% 3.69/3.81 | ~ 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)) ) ).
% 3.69/3.81
% 3.69/3.81 cnf(cls_xt1_I6_J_0,axiom,
% 3.69/3.81 ( ~ class_Orderings_Oorder(T_a)
% 3.69/3.81 | c_lessequals(V_z,V_x,T_a)
% 3.69/3.81 | ~ c_lessequals(V_z,V_y,T_a)
% 3.69/3.81 | ~ c_lessequals(V_y,V_x,T_a) ) ).
% 3.69/3.81
% 3.69/3.81 cnf(cls_order__trans_0,axiom,
% 3.69/3.81 ( ~ class_Orderings_Opreorder(T_a)
% 3.69/3.81 | c_lessequals(V_x,V_z,T_a)
% 3.69/3.81 | ~ c_lessequals(V_y,V_z,T_a)
% 3.69/3.81 | ~ c_lessequals(V_x,V_y,T_a) ) ).
% 3.69/3.81
% 3.69/3.81 cnf(cls_equalityE_0,axiom,
% 3.69/3.81 c_lessequals(V_x,V_x,tc_fun(T_a,tc_bool)) ).
% 3.69/3.81
% 3.69/3.81 cnf(cls_subset__refl_0,axiom,
% 3.69/3.81 c_lessequals(V_A,V_A,tc_fun(T_a,tc_bool)) ).
% 3.69/3.81
% 3.69/3.81 cnf(cls_subset__trans_0,axiom,
% 3.69/3.81 ( c_lessequals(V_A,V_C,tc_fun(T_a,tc_bool))
% 3.69/3.81 | ~ c_lessequals(V_B,V_C,tc_fun(T_a,tc_bool))
% 3.69/3.81 | ~ c_lessequals(V_A,V_B,tc_fun(T_a,tc_bool)) ) ).
% 3.69/3.81
% 3.69/3.81 cnf(cls_predicate1D_0,axiom,
% 3.69/3.81 ( hBOOL(hAPP(V_Q,V_x))
% 3.69/3.81 | ~ hBOOL(hAPP(V_P,V_x))
% 3.69/3.81 | ~ c_lessequals(V_P,V_Q,tc_fun(T_a,tc_bool)) ) ).
% 3.69/3.81
% 3.69/3.81 cnf(cls_order__eq__iff_0,axiom,
% 3.69/3.81 ( ~ class_Orderings_Oorder(T_a)
% 3.69/3.81 | c_lessequals(V_x,V_x,T_a) ) ).
% 3.69/3.81
% 3.69/3.81 cnf(cls_order__eq__refl_0,axiom,
% 3.69/3.81 ( ~ class_Orderings_Opreorder(T_a)
% 3.69/3.81 | c_lessequals(V_x,V_x,T_a) ) ).
% 3.69/3.81
% 3.69/3.81 cnf(cls_rev__predicate1D_0,axiom,
% 3.69/3.81 ( hBOOL(hAPP(V_Q,V_x))
% 3.69/3.81 | ~ c_lessequals(V_P,V_Q,tc_fun(T_a,tc_bool))
% 3.69/3.81 | ~ hBOOL(hAPP(V_P,V_x)) ) ).
% 3.69/3.81
% 3.69/3.81 cnf(cls_keysFor__insert__Hash_0,axiom,
% 3.69/3.81 c_Message_OkeysFor(c_Set_Oinsert(c_Message_Omsg_OHash(V_X),V_H,tc_Message_Omsg)) = c_Message_OkeysFor(V_H) ).
% 3.69/3.81
% 3.69/3.81 cnf(cls_image__mono_0,axiom,
% 3.69/3.81 ( 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))
% 3.69/3.81 | ~ c_lessequals(V_A,V_B,tc_fun(T_a,tc_bool)) ) ).
% 3.69/3.81
% 3.69/3.81 cnf(cls_subset__image__iff_2,axiom,
% 3.69/3.81 ( ~ c_lessequals(V_x,V_A,tc_fun(T_b,tc_bool))
% 3.69/3.81 | 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)) ) ).
% 3.69/3.81
% 3.69/3.81 cnf(cls_insert__mono_0,axiom,
% 3.69/3.81 ( 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))
% 3.69/3.81 | ~ c_lessequals(V_C,V_D,tc_fun(T_a,tc_bool)) ) ).
% 3.69/3.81
% 3.69/3.81 cnf(cls_append__is__Nil__conv_2,axiom,
% 3.69/3.81 c_List_Oappend(c_List_Olist_ONil(T_a),c_List_Olist_ONil(T_a),T_a) = c_List_Olist_ONil(T_a) ).
% 3.69/3.81
% 3.69/3.81 cnf(cls_image__Un_0,axiom,
% 3.69/3.81 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)) ).
% 3.69/3.81
% 3.69/3.81 cnf(cls_analz__subset__cong_0,axiom,
% 3.69/3.81 ( 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))
% 3.69/3.81 | ~ c_lessequals(c_Message_Oanalz(V_H),c_Message_Oanalz(V_H_H),tc_fun(tc_Message_Omsg,tc_bool))
% 3.69/3.81 | ~ c_lessequals(c_Message_Oanalz(V_G),c_Message_Oanalz(V_G_H),tc_fun(tc_Message_Omsg,tc_bool)) ) ).
% 3.69/3.81
% 3.69/3.81 cnf(cls_append__assoc_0,axiom,
% 3.69/3.81 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) ).
% 3.69/3.81
% 3.69/3.81 cnf(cls_append__eq__appendI_0,axiom,
% 3.69/3.81 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) ).
% 3.69/3.81
% 3.69/3.81 cnf(cls_append__eq__append__conv2_4,axiom,
% 3.69/3.81 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) ).
% 3.69/3.81
% 3.69/3.81 cnf(cls_append__eq__append__conv2_5,axiom,
% 3.69/3.81 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) ).
% 3.69/3.81
% 3.69/3.81 cnf(cls_linorder__linear_0,axiom,
% 3.69/3.81 ( ~ class_Orderings_Olinorder(T_a)
% 3.69/3.81 | c_lessequals(V_y,V_x,T_a)
% 3.69/3.81 | c_lessequals(V_x,V_y,T_a) ) ).
% 3.69/3.81
% 3.69/3.81 cnf(cls_parts__insert__subset__Un_0,axiom,
% 3.69/3.81 ( 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))
% 3.69/3.81 | ~ c_in(V_X,V_G,tc_Message_Omsg) ) ).
% 3.69/3.81
% 3.69/3.81 cnf(cls_Crypt__imp__keysFor_0,axiom,
% 3.69/3.81 ( c_in(V_K,c_Message_OkeysFor(V_H),tc_nat)
% 3.69/3.81 | ~ c_in(V_K,c_Message_OsymKeys,tc_nat)
% 3.69/3.81 | ~ c_in(c_Message_Omsg_OCrypt(V_K,V_X),V_H,tc_Message_Omsg) ) ).
% 3.69/3.81
% 3.69/3.81 cnf(cls_knows__Spy__subset__knows__Spy__Gets_0,axiom,
% 3.69/3.81 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)) ).
% 3.69/3.81
% 3.69/3.81 cnf(cls_subset__insert_0,axiom,
% 3.69/3.81 ( c_lessequals(V_A,V_B,tc_fun(T_a,tc_bool))
% 3.69/3.81 | ~ c_lessequals(V_A,c_Set_Oinsert(V_x,V_B,T_a),tc_fun(T_a,tc_bool))
% 3.69/3.81 | c_in(V_x,V_A,T_a) ) ).
% 3.69/3.81
% 3.69/3.81 cnf(cls_subset__insert_1,axiom,
% 3.69/3.81 ( c_lessequals(V_A,c_Set_Oinsert(V_x,V_B,T_a),tc_fun(T_a,tc_bool))
% 3.69/3.81 | ~ c_lessequals(V_A,V_B,tc_fun(T_a,tc_bool))
% 3.69/3.81 | c_in(V_x,V_A,T_a) ) ).
% 3.69/3.81
% 3.69/3.81 cnf(cls_subset__insert__iff_1,axiom,
% 3.69/3.81 ( c_lessequals(V_A,V_B,tc_fun(T_a,tc_bool))
% 3.69/3.81 | c_in(V_x,V_A,T_a)
% 3.69/3.81 | ~ c_lessequals(V_A,c_Set_Oinsert(V_x,V_B,T_a),tc_fun(T_a,tc_bool)) ) ).
% 3.69/3.81
% 3.69/3.81 cnf(cls_subset__insert__iff_2,axiom,
% 3.69/3.81 ( c_lessequals(V_A,c_Set_Oinsert(V_x,V_B,T_a),tc_fun(T_a,tc_bool))
% 3.69/3.81 | ~ c_lessequals(V_A,V_B,tc_fun(T_a,tc_bool))
% 3.69/3.81 | c_in(V_x,V_A,T_a) ) ).
% 3.69/3.81
% 3.69/3.81 cnf(cls_insert__subset_0,axiom,
% 3.69/3.81 ( c_in(V_x,V_B,T_a)
% 3.69/3.81 | ~ c_lessequals(c_Set_Oinsert(V_x,V_A,T_a),V_B,tc_fun(T_a,tc_bool)) ) ).
% 3.69/3.81
% 3.69/3.81 cnf(cls_insert__subset_2,axiom,
% 3.69/3.81 ( c_lessequals(c_Set_Oinsert(V_x,V_A,T_a),V_B,tc_fun(T_a,tc_bool))
% 3.69/3.81 | ~ c_lessequals(V_A,V_B,tc_fun(T_a,tc_bool))
% 3.69/3.81 | ~ c_in(V_x,V_B,T_a) ) ).
% 3.69/3.81
% 3.69/3.81 cnf(cls_image__subset__iff_0,axiom,
% 3.69/3.81 ( c_in(hAPP(V_f,V_x),V_B,T_a)
% 3.69/3.81 | ~ c_in(V_x,V_A,T_b)
% 3.69/3.81 | ~ c_lessequals(c_Set_Oimage(V_f,V_A,T_b,T_a),V_B,tc_fun(T_a,tc_bool)) ) ).
% 3.69/3.81
% 3.69/3.81 cnf(cls_Cons__eq__append__conv_4,axiom,
% 3.69/3.81 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) ).
% 3.69/3.81
% 3.69/3.81 cnf(cls_append__eq__Cons__conv_4,axiom,
% 3.69/3.81 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) ).
% 3.69/3.81
% 3.69/3.81 cnf(cls_append1__eq__conv_0,axiom,
% 3.69/3.81 ( 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)
% 3.69/3.81 | V_xs = V_ys ) ).
% 3.69/3.81
% 3.69/3.81 cnf(cls_append1__eq__conv_1,axiom,
% 3.69/3.81 ( 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)
% 3.69/3.81 | V_x = V_y ) ).
% 3.69/3.81
% 3.69/3.81 cnf(cls_set__subset__Cons_0,axiom,
% 3.69/3.81 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)) ).
% 3.69/3.81
% 3.69/3.81 cnf(cls_in__parts__UnE_0,axiom,
% 3.69/3.81 ( c_in(V_c,c_Message_Oparts(V_H),tc_Message_Omsg)
% 3.69/3.81 | c_in(V_c,c_Message_Oparts(V_G),tc_Message_Omsg)
% 3.69/3.81 | ~ 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) ) ).
% 3.69/3.81
% 3.69/3.81 cnf(cls_parts__trans_0,axiom,
% 3.69/3.81 ( c_in(V_X,c_Message_Oparts(V_H),tc_Message_Omsg)
% 3.69/3.81 | ~ c_lessequals(V_G,c_Message_Oparts(V_H),tc_fun(tc_Message_Omsg,tc_bool))
% 3.69/3.81 | ~ c_in(V_X,c_Message_Oparts(V_G),tc_Message_Omsg) ) ).
% 3.69/3.81
% 3.69/3.81 cnf(cls_analz__image__freshK__simps_I61_J_0,axiom,
% 3.69/3.81 ( 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)
% 3.69/3.81 | ~ c_in(V_c,c_Message_Oanalz(V_G),tc_Message_Omsg) ) ).
% 3.69/3.81
% 3.69/3.81 cnf(cls_analz__trans_0,axiom,
% 3.69/3.81 ( c_in(V_X,c_Message_Oanalz(V_H),tc_Message_Omsg)
% 3.69/3.81 | ~ c_lessequals(V_G,c_Message_Oanalz(V_H),tc_fun(tc_Message_Omsg,tc_bool))
% 3.69/3.81 | ~ c_in(V_X,c_Message_Oanalz(V_G),tc_Message_Omsg) ) ).
% 3.69/3.81
% 3.69/3.81 cnf(cls_keysFor__insert__MPair_0,axiom,
% 3.69/3.81 c_Message_OkeysFor(c_Set_Oinsert(c_Message_Omsg_OMPair(V_X,V_Y),V_H,tc_Message_Omsg)) = c_Message_OkeysFor(V_H) ).
% 3.69/3.81
% 3.69/3.81 cnf(cls_analz__subset__parts_0,axiom,
% 3.69/3.81 c_lessequals(c_Message_Oanalz(V_H),c_Message_Oparts(V_H),tc_fun(tc_Message_Omsg,tc_bool)) ).
% 3.69/3.81
% 3.69/3.81 cnf(cls_Hash__synth_0,axiom,
% 3.69/3.81 ( c_in(V_X,c_Message_Osynth(V_H),tc_Message_Omsg)
% 3.69/3.81 | c_in(c_Message_Omsg_OHash(V_X),V_H,tc_Message_Omsg)
% 3.69/3.81 | ~ c_in(c_Message_Omsg_OHash(V_X),c_Message_Osynth(V_H),tc_Message_Omsg) ) ).
% 3.69/3.81
% 3.69/3.81 cnf(cls_synth__trans_0,axiom,
% 3.69/3.81 ( c_in(V_X,c_Message_Osynth(V_H),tc_Message_Omsg)
% 3.69/3.81 | ~ c_lessequals(V_G,c_Message_Osynth(V_H),tc_fun(tc_Message_Omsg,tc_bool))
% 3.69/3.81 | ~ c_in(V_X,c_Message_Osynth(V_G),tc_Message_Omsg) ) ).
% 3.69/3.81
% 3.69/3.81 cnf(cls_synth_OHash_0,axiom,
% 3.69/3.81 ( c_in(c_Message_Omsg_OHash(V_X),c_Message_Osynth(V_H),tc_Message_Omsg)
% 3.69/3.81 | ~ c_in(V_X,c_Message_Osynth(V_H),tc_Message_Omsg) ) ).
% 3.69/3.81
% 3.69/3.81 cnf(cls_parts__insert__Hash_0,axiom,
% 3.69/3.81 c_Message_Oparts(c_Set_Oinsert(c_Message_Omsg_OHash(V_X),V_H,tc_Message_Omsg)) = c_Set_Oinsert(c_Message_Omsg_OHash(V_X),c_Message_Oparts(V_H),tc_Message_Omsg) ).
% 3.69/3.81
% 3.69/3.81 cnf(cls_parts__insert__subset_0,axiom,
% 3.69/3.81 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)) ).
% 3.69/3.81
% 3.69/3.81 cnf(cls_Fake__analz__insert_0,axiom,
% 3.69/3.81 ( 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))
% 3.69/3.81 | ~ c_in(V_X,c_Message_Osynth(c_Message_Oanalz(V_G)),tc_Message_Omsg) ) ).
% 3.69/3.81
% 3.69/3.81 cnf(cls_pushes_I11_J_0,axiom,
% 3.69/3.81 c_Set_Oinsert(c_Message_Omsg_OCrypt(V_X,V_K),c_Set_Oinsert(c_Message_Omsg_OHash(V_X_H),V_A,tc_Message_Omsg),tc_Message_Omsg) = c_Set_Oinsert(c_Message_Omsg_OHash(V_X_H),c_Set_Oinsert(c_Message_Omsg_OCrypt(V_X,V_K),V_A,tc_Message_Omsg),tc_Message_Omsg) ).
% 3.69/3.81
% 3.69/3.81 cnf(cls_parts__synth_0,axiom,
% 3.69/3.81 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)) ).
% 3.69/3.81
% 3.69/3.81 cnf(cls_keysFor__insert__Key_0,axiom,
% 3.69/3.81 c_Message_OkeysFor(c_Set_Oinsert(hAPP(c_Message_Omsg_OKey,V_K),V_H,tc_Message_Omsg)) = c_Message_OkeysFor(V_H) ).
% 3.69/3.81
% 3.69/3.81 cnf(cls_pushes_I4_J_0,axiom,
% 3.69/3.81 c_Set_Oinsert(hAPP(c_Message_Omsg_OKey,V_K),c_Set_Oinsert(c_Message_Omsg_OHash(V_X),V_A,tc_Message_Omsg),tc_Message_Omsg) = c_Set_Oinsert(c_Message_Omsg_OHash(V_X),c_Set_Oinsert(hAPP(c_Message_Omsg_OKey,V_K),V_A,tc_Message_Omsg),tc_Message_Omsg) ).
% 3.69/3.81
% 3.69/3.81 cnf(cls_analz__insert__Hash_0,axiom,
% 3.69/3.81 c_Message_Oanalz(c_Set_Oinsert(c_Message_Omsg_OHash(V_X),V_H,tc_Message_Omsg)) = c_Set_Oinsert(c_Message_Omsg_OHash(V_X),c_Message_Oanalz(V_H),tc_Message_Omsg) ).
% 3.69/3.81
% 3.69/3.81 cnf(cls_analz__insert_0,axiom,
% 3.69/3.81 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)) ).
% 3.69/3.81
% 3.69/3.81 cnf(cls_synth__analz__mono_0,axiom,
% 3.69/3.81 ( 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))
% 3.69/3.81 | ~ c_lessequals(V_G,V_H,tc_fun(tc_Message_Omsg,tc_bool)) ) ).
% 3.69/3.81
% 3.69/3.81 cnf(cls_analz__synth_0,axiom,
% 3.69/3.81 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)) ).
% 3.69/3.81
% 3.69/3.81 cnf(cls_analz__synth__Un_0,axiom,
% 3.69/3.81 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)) ).
% 3.69/3.81
% 3.69/3.81 cnf(cls_keysFor__insert__Agent_0,axiom,
% 3.69/3.81 c_Message_OkeysFor(c_Set_Oinsert(c_Message_Omsg_OAgent(V_A),V_H,tc_Message_Omsg)) = c_Message_OkeysFor(V_H) ).
% 3.69/3.81
% 3.69/3.81 cnf(cls_synth__insert_0,axiom,
% 3.69/3.81 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)) ).
% 3.69/3.81
% 3.69/3.81 cnf(cls_keysFor__insert__Nonce_0,axiom,
% 3.69/3.81 c_Message_OkeysFor(c_Set_Oinsert(c_Message_Omsg_ONonce(V_N),V_H,tc_Message_Omsg)) = c_Message_OkeysFor(V_H) ).
% 3.69/3.81
% 3.69/3.81 cnf(cls_sym__shrK_0,axiom,
% 3.69/3.81 c_in(hAPP(c_Public_OshrK,V_X),c_Message_OsymKeys,tc_nat) ).
% 3.69/3.81
% 3.69/3.81 cnf(cls_invKey__image__eq_0,axiom,
% 3.69/3.81 ( c_in(V_x,V_A,tc_nat)
% 3.69/3.81 | ~ c_in(hAPP(c_Message_OinvKey,V_x),c_Set_Oimage(c_Message_OinvKey,V_A,tc_nat,tc_nat),tc_nat) ) ).
% 3.69/3.81
% 3.69/3.81 cnf(cls_invKey__image__eq_1,axiom,
% 3.69/3.81 ( c_in(hAPP(c_Message_OinvKey,V_x),c_Set_Oimage(c_Message_OinvKey,V_A,tc_nat,tc_nat),tc_nat)
% 3.69/3.81 | ~ c_in(V_x,V_A,tc_nat) ) ).
% 3.69/3.81
% 3.69/3.81 cnf(cls_symKeys__invKey__iff_0,axiom,
% 3.69/3.81 ( c_in(V_K,c_Message_OsymKeys,tc_nat)
% 3.69/3.81 | ~ c_in(hAPP(c_Message_OinvKey,V_K),c_Message_OsymKeys,tc_nat) ) ).
% 3.69/3.81
% 3.69/3.81 cnf(cls_symKeys__invKey__iff_1,axiom,
% 3.69/3.81 ( c_in(hAPP(c_Message_OinvKey,V_K),c_Message_OsymKeys,tc_nat)
% 3.69/3.81 | ~ c_in(V_K,c_Message_OsymKeys,tc_nat) ) ).
% 3.69/3.81
% 3.69/3.81 cnf(cls_invKey__K_0,axiom,
% 3.69/3.81 ( hAPP(c_Message_OinvKey,V_K) = V_K
% 3.69/3.81 | ~ c_in(V_K,c_Message_OsymKeys,tc_nat) ) ).
% 3.69/3.81
% 3.69/3.81 cnf(cls_not__symKeys__pubK_0,axiom,
% 3.69/3.81 ~ c_in(hAPP(c_Public_OpublicKey(V_b),V_A),c_Message_OsymKeys,tc_nat) ).
% 3.69/3.81
% 3.69/3.81 cnf(cls_knows__subset__knows__Cons_0,axiom,
% 3.69/3.81 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)) ).
% 3.69/3.81
% 3.69/3.81 cnf(cls_used__Gets_0,axiom,
% 3.69/3.81 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) ).
% 3.69/3.81
% 3.69/3.81 cnf(cls_spies__Gets__rev_0,axiom,
% 3.69/3.81 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) ).
% 3.69/3.81
% 3.69/3.81 cnf(cls_initState__subset__knows_0,axiom,
% 3.69/3.81 c_lessequals(c_Event_OinitState(V_A),c_Event_Oknows(V_A,V_evs),tc_fun(tc_Message_Omsg,tc_bool)) ).
% 3.69/3.81
% 3.69/3.81 cnf(cls_Hash__synth__analz_1,axiom,
% 3.69/3.81 ( c_in(c_Message_Omsg_OHash(c_Message_Omsg_OMPair(V_X,V_Y)),c_Message_Osynth(c_Message_Oanalz(V_H)),tc_Message_Omsg)
% 3.69/3.82 | ~ c_in(c_Message_Omsg_OHash(c_Message_Omsg_OMPair(V_X,V_Y)),c_Message_Oanalz(V_H),tc_Message_Omsg)
% 3.69/3.82 | c_in(V_X,c_Message_Osynth(c_Message_Oanalz(V_H)),tc_Message_Omsg) ) ).
% 3.69/3.82
% 3.69/3.82 cnf(cls_Hash__synth__analz_0,axiom,
% 3.69/3.82 ( c_in(c_Message_Omsg_OHash(c_Message_Omsg_OMPair(V_X,V_Y)),c_Message_Oanalz(V_H),tc_Message_Omsg)
% 3.69/3.82 | ~ c_in(c_Message_Omsg_OHash(c_Message_Omsg_OMPair(V_X,V_Y)),c_Message_Osynth(c_Message_Oanalz(V_H)),tc_Message_Omsg)
% 3.69/3.82 | c_in(V_X,c_Message_Osynth(c_Message_Oanalz(V_H)),tc_Message_Omsg) ) ).
% 3.69/3.82
% 3.69/3.82 cnf(cls_analz__insert__Key_0,axiom,
% 3.69/3.82 ( 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)
% 3.69/3.82 | c_in(V_K,c_Message_OkeysFor(c_Message_Oanalz(V_H)),tc_nat) ) ).
% 3.69/3.82
% 3.69/3.82 cnf(cls_keysFor__parts__insert_0,axiom,
% 3.69/3.82 ( c_in(hAPP(c_Message_Omsg_OKey,hAPP(c_Message_OinvKey,V_K)),c_Message_Oparts(V_H),tc_Message_Omsg)
% 3.69/3.82 | 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)
% 3.69/3.82 | ~ c_in(V_X,c_Message_Osynth(c_Message_Oanalz(V_H)),tc_Message_Omsg)
% 3.69/3.82 | ~ c_in(V_K,c_Message_OkeysFor(c_Message_Oparts(c_Set_Oinsert(V_X,V_G,tc_Message_Omsg))),tc_nat) ) ).
% 3.69/3.82
% 3.69/3.82 cnf(cls_Crypt__imp__invKey__keysFor_0,axiom,
% 3.69/3.82 ( c_in(hAPP(c_Message_OinvKey,V_K),c_Message_OkeysFor(V_H),tc_nat)
% 3.69/3.82 | ~ c_in(c_Message_Omsg_OCrypt(V_K,V_X),V_H,tc_Message_Omsg) ) ).
% 3.69/3.82
% 3.69/3.82 cnf(cls_analz__image__freshK__lemma_1,axiom,
% 3.69/3.82 ( 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)
% 3.69/3.82 | ~ c_in(hAPP(c_Message_Omsg_OKey,V_K),c_Message_Oanalz(V_H),tc_Message_Omsg)
% 3.69/3.82 | 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) ) ).
% 3.69/3.82
% 3.69/3.82 cnf(cls_analz__image__freshK__lemma_5,axiom,
% 3.69/3.82 ( 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)
% 3.69/3.82 | ~ c_in(hAPP(c_Message_Omsg_OKey,V_K),c_Message_Oanalz(V_H),tc_Message_Omsg)
% 3.69/3.82 | ~ c_in(hAPP(c_Message_Omsg_OKey,V_K),c_Message_Oanalz(V_H),tc_Message_Omsg) ) ).
% 3.69/3.82
% 3.69/3.82 cnf(cls_parts__knows__Spy__subset__used_0,axiom,
% 3.69/3.82 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)) ).
% 3.69/3.82
% 3.69/3.82 cnf(cls_knows__Gets_0,axiom,
% 3.69/3.82 ( 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)
% 3.69/3.82 | V_A = c_Message_Oagent_OSpy ) ).
% 3.69/3.82
% 3.69/3.82 cnf(cls_knows__Spy__subset__knows__Spy__Says_0,axiom,
% 3.69/3.82 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)) ).
% 3.69/3.82
% 3.69/3.82 cnf(cls_analz__image__freshK_1,axiom,
% 3.69/3.82 ( 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)
% 3.69/3.82 | ~ c_in(V_K,V_KK,tc_nat)
% 3.69/3.82 | ~ 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))
% 3.69/3.82 | ~ c_in(V_evs,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent)) ) ).
% 3.69/3.82
% 3.69/3.82 cnf(cls_analz__image__freshK_0,axiom,
% 3.69/3.82 ( c_in(hAPP(c_Message_Omsg_OKey,V_K),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,V_evs)),tc_Message_Omsg)
% 3.69/3.82 | c_in(V_K,V_KK,tc_nat)
% 3.69/3.82 | ~ 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)
% 3.69/3.82 | ~ 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))
% 3.69/3.82 | ~ c_in(V_evs,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent)) ) ).
% 3.69/3.82
% 3.69/3.82 cnf(cls_knows__Spy__subset__knows__Spy__Notes_0,axiom,
% 3.69/3.82 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)) ).
% 3.69/3.82
% 3.69/3.82 cnf(cls_knows__imp__Says__Gets__Notes__initState_0,axiom,
% 3.69/3.82 ( c_in(V_X,c_Event_OinitState(V_A),tc_Message_Omsg)
% 3.69/3.82 | c_in(c_Event_Oevent_ONotes(V_A,V_X),c_List_Oset(V_evs,tc_Event_Oevent),tc_Event_Oevent)
% 3.69/3.82 | c_in(c_Event_Oevent_OGets(V_A,V_X),c_List_Oset(V_evs,tc_Event_Oevent),tc_Event_Oevent)
% 3.69/3.82 | 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)
% 3.69/3.82 | V_A = c_Message_Oagent_OSpy
% 3.69/3.82 | ~ c_in(V_X,c_Event_Oknows(V_A,V_evs),tc_Message_Omsg) ) ).
% 3.69/3.82
% 3.69/3.82 cnf(cls_knows__Spy__imp__Says__Notes__initState_0,axiom,
% 3.69/3.82 ( c_in(V_X,c_Event_OinitState(c_Message_Oagent_OSpy),tc_Message_Omsg)
% 3.69/3.82 | 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)
% 3.69/3.82 | 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)
% 3.69/3.82 | ~ c_in(V_X,c_Event_Oknows(c_Message_Oagent_OSpy,V_evs),tc_Message_Omsg) ) ).
% 3.69/3.82
% 3.69/3.82 cnf(cls_publicKey__notin__image__privateKey_0,axiom,
% 3.69/3.82 ~ 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) ).
% 3.69/3.82
% 3.69/3.82 cnf(cls_privateKey__image__eq_0,axiom,
% 3.69/3.82 ( V_b = V_c
% 3.69/3.82 | ~ 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) ) ).
% 3.69/3.82
% 3.69/3.82 cnf(cls_parts__spies__evs__revD2_0,axiom,
% 3.69/3.82 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)) ).
% 3.69/3.82
% 3.69/3.82 cnf(cls_new__keys__not__used_0,axiom,
% 3.69/3.82 ( ~ c_in(V_K,c_Message_OkeysFor(c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,V_evs))),tc_nat)
% 3.69/3.82 | ~ c_in(V_evs,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))
% 3.69/3.82 | ~ c_in(V_K,c_Message_OsymKeys,tc_nat)
% 3.69/3.82 | c_in(hAPP(c_Message_Omsg_OKey,V_K),c_Event_Oused(V_evs),tc_Message_Omsg) ) ).
% 3.69/3.82
% 3.69/3.82 cnf(cls_Issues__def_0,axiom,
% 3.69/3.82 ( 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)
% 3.69/3.82 | ~ c_NS__Shared__Mirabelle_OIssues(V_A,V_B,V_X,V_evs) ) ).
% 3.69/3.82
% 3.69/3.82 cnf(cls_Fake__parts__insert__in__Un_0,axiom,
% 3.69/3.82 ( 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)
% 3.69/3.82 | ~ c_in(V_X,c_Message_Osynth(c_Message_Oanalz(V_H)),tc_Message_Omsg)
% 3.69/3.82 | ~ c_in(V_Z,c_Message_Oparts(c_Set_Oinsert(V_X,V_H,tc_Message_Omsg)),tc_Message_Omsg) ) ).
% 3.69/3.82
% 3.69/3.82 cnf(cls_analz__Decrypt_H_0,axiom,
% 3.69/3.82 ( c_in(V_X,c_Message_Oanalz(V_H),tc_Message_Omsg)
% 3.69/3.82 | ~ c_in(hAPP(c_Message_Omsg_OKey,V_K),c_Message_Oanalz(V_H),tc_Message_Omsg)
% 3.69/3.82 | ~ c_in(V_K,c_Message_OsymKeys,tc_nat)
% 3.69/3.82 | ~ c_in(c_Message_Omsg_OCrypt(V_K,V_X),c_Message_Oanalz(V_H),tc_Message_Omsg) ) ).
% 3.69/3.82
% 3.69/3.82 cnf(cls_synth__analz__insert__eq_1,axiom,
% 3.69/3.82 ( 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)
% 3.69/3.82 | ~ c_in(hAPP(c_Message_Omsg_OKey,V_K),c_Message_Oanalz(V_G),tc_Message_Omsg)
% 3.69/3.82 | ~ c_lessequals(V_H,V_G,tc_fun(tc_Message_Omsg,tc_bool))
% 3.69/3.82 | ~ c_in(V_X,c_Message_Osynth(c_Message_Oanalz(V_H)),tc_Message_Omsg) ) ).
% 3.69/3.82
% 3.69/3.82 cnf(cls_synth__analz__insert__eq_0,axiom,
% 3.69/3.82 ( c_in(hAPP(c_Message_Omsg_OKey,V_K),c_Message_Oanalz(V_G),tc_Message_Omsg)
% 3.69/3.82 | ~ 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)
% 3.69/3.82 | ~ c_lessequals(V_H,V_G,tc_fun(tc_Message_Omsg,tc_bool))
% 3.69/3.82 | ~ c_in(V_X,c_Message_Osynth(c_Message_Oanalz(V_H)),tc_Message_Omsg) ) ).
% 3.69/3.82
% 3.69/3.82 cnf(cls_analz__image__freshK__lemma_2,axiom,
% 3.69/3.82 ( 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)
% 3.69/3.82 | ~ c_in(V_K,V_nE,tc_nat)
% 3.69/3.82 | ~ c_in(V_K,V_nE,tc_nat) ) ).
% 3.69/3.82
% 3.69/3.82 cnf(cls_analz__image__freshK__lemma_0,axiom,
% 3.69/3.82 ( 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)
% 3.69/3.82 | ~ c_in(V_K,V_nE,tc_nat)
% 3.69/3.82 | 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) ) ).
% 3.69/3.82
% 3.69/3.82 cnf(cls_analz__image__freshK__lemma_4,axiom,
% 3.69/3.82 ( 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)
% 3.69/3.82 | ~ c_in(V_K,V_nE,tc_nat)
% 3.69/3.82 | ~ c_in(hAPP(c_Message_Omsg_OKey,V_K),c_Message_Oanalz(V_H),tc_Message_Omsg) ) ).
% 3.69/3.82
% 3.69/3.82 cnf(cls_analz__image__freshK__lemma_3,axiom,
% 3.69/3.82 ( 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)
% 3.69/3.82 | ~ c_in(hAPP(c_Message_Omsg_OKey,V_K),c_Message_Oanalz(V_H),tc_Message_Omsg)
% 3.69/3.82 | ~ c_in(V_K,V_nE,tc_nat) ) ).
% 3.69/3.82
% 3.69/3.82 cnf(cls_analz__mono__contra_I3_J_0,axiom,
% 3.69/3.82 ( ~ c_in(V_c,c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,V_evs)),tc_Message_Omsg)
% 3.69/3.82 | 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) ) ).
% 3.69/3.82
% 3.69/3.82 cnf(cls_Gets__imp__knows__agents_0,axiom,
% 3.69/3.82 ( c_in(V_X,c_Event_Oknows(V_A,V_evs),tc_Message_Omsg)
% 3.69/3.82 | ~ c_in(c_Event_Oevent_OGets(V_A,V_X),c_List_Oset(V_evs,tc_Event_Oevent),tc_Event_Oevent)
% 3.69/3.82 | V_A = c_Message_Oagent_OSpy ) ).
% 3.69/3.82
% 3.69/3.82 cnf(cls_shrK__notin__image__privateKey_0,axiom,
% 3.69/3.82 ~ 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) ).
% 3.69/3.82
% 3.69/3.82 cnf(cls_privateKey__image__eq_2,axiom,
% 3.69/3.82 ( 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)
% 3.69/3.82 | ~ c_in(V_A,V_AS,tc_Message_Oagent) ) ).
% 3.69/3.82
% 3.69/3.82 cnf(cls_privateKey__image__eq_1,axiom,
% 3.69/3.82 ( c_in(V_A,V_AS,tc_Message_Oagent)
% 3.69/3.82 | ~ 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) ) ).
% 3.69/3.82
% 3.69/3.82 cnf(cls_ns__sharedp_ONS5_0,axiom,
% 3.69/3.82 ( 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))
% 3.69/3.82 | ~ 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)
% 3.69/3.82 | ~ 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)
% 3.69/3.82 | ~ c_in(V_K,c_Message_OsymKeys,tc_nat)
% 3.69/3.82 | ~ c_NS__Shared__Mirabelle_Ons__sharedp(V_evs5) ) ).
% 3.69/3.82
% 3.69/3.82 cnf(cls_lemma1_0,axiom,
% 3.69/3.82 ( 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))
% 3.69/3.82 | ~ c_in(hAPP(c_Message_Omsg_OKey,hAPP(c_Message_OinvKey,V_K)),c_Message_Oanalz(V_H),tc_Message_Omsg) ) ).
% 3.69/3.82
% 3.69/3.82 cnf(cls_lemma2_0,axiom,
% 3.69/3.82 ( 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))
% 3.69/3.82 | ~ c_in(hAPP(c_Message_Omsg_OKey,hAPP(c_Message_OinvKey,V_K)),c_Message_Oanalz(V_H),tc_Message_Omsg) ) ).
% 3.69/3.82
% 3.69/3.82 cnf(cls_spies__Says__rev_0,axiom,
% 3.69/3.82 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) ).
% 3.69/3.82
% 3.69/3.82 cnf(cls_ns__sharedp_ONS4_0,axiom,
% 3.69/3.82 ( 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))
% 3.69/3.82 | ~ 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)
% 3.69/3.82 | ~ c_in(V_K,c_Message_OsymKeys,tc_nat)
% 3.69/3.82 | c_in(c_Message_Omsg_ONonce(V_NB),c_Event_Oused(V_evs4),tc_Message_Omsg)
% 3.69/3.82 | ~ c_NS__Shared__Mirabelle_Ons__sharedp(V_evs4) ) ).
% 3.69/3.82
% 3.69/3.82 cnf(cls_ns__sharedp_OFake_0,axiom,
% 3.69/3.82 ( 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))
% 3.69/3.82 | ~ c_in(V_X,c_Message_Osynth(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,V_evsf))),tc_Message_Omsg)
% 3.69/3.82 | ~ c_NS__Shared__Mirabelle_Ons__sharedp(V_evsf) ) ).
% 3.69/3.82
% 3.69/3.82 cnf(cls_ns__sharedp_ONS2_0,axiom,
% 3.69/3.82 ( 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))
% 3.69/3.82 | ~ 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)
% 3.69/3.82 | ~ c_in(V_KAB,c_Message_OsymKeys,tc_nat)
% 3.69/3.82 | c_in(hAPP(c_Message_Omsg_OKey,V_KAB),c_Event_Oused(V_evs2),tc_Message_Omsg)
% 3.69/3.82 | ~ c_NS__Shared__Mirabelle_Ons__sharedp(V_evs2) ) ).
% 3.69/3.82
% 3.69/3.82 cnf(cls_spies__Notes__rev_1,axiom,
% 3.69/3.82 ( 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)
% 3.69/3.82 | c_in(V_A,c_Event_Obad,tc_Message_Oagent) ) ).
% 3.69/3.82
% 3.69/3.82 cnf(cls_ns__sharedp_ONS1_0,axiom,
% 3.69/3.82 ( 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))
% 3.69/3.82 | c_in(c_Message_Omsg_ONonce(V_NA),c_Event_Oused(V_evs1),tc_Message_Omsg)
% 3.69/3.82 | ~ c_NS__Shared__Mirabelle_Ons__sharedp(V_evs1) ) ).
% 3.69/3.82
% 3.69/3.82 cnf(cls_spies__Notes__rev_0,axiom,
% 3.69/3.82 ( 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)
% 3.69/3.82 | ~ c_in(V_A,c_Event_Obad,tc_Message_Oagent) ) ).
% 3.69/3.82
% 3.69/3.82 cnf(cls_ns__sharedp_ONS3_0,axiom,
% 3.69/3.82 ( 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))
% 3.69/3.82 | ~ 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)
% 3.69/3.82 | ~ 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)
% 3.69/3.82 | V_A = c_Message_Oagent_OServer
% 3.69/3.82 | ~ c_NS__Shared__Mirabelle_Ons__sharedp(V_evs3) ) ).
% 3.69/3.82
% 3.69/3.82 cnf(cls_ns__sharedp_OOops_0,axiom,
% 3.69/3.82 ( 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))
% 3.69/3.82 | ~ 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)
% 3.69/3.82 | ~ 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)
% 3.69/3.82 | ~ c_NS__Shared__Mirabelle_Ons__sharedp(V_evso) ) ).
% 3.69/3.82
% 3.69/3.82 cnf(cls_ns__shared_ONS5_0,axiom,
% 3.69/3.82 ( 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))
% 3.69/3.82 | ~ 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)
% 3.69/3.82 | ~ 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)
% 3.69/3.82 | ~ c_in(V_K,c_Message_OsymKeys,tc_nat)
% 3.69/3.82 | ~ c_in(V_evs5,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent)) ) ).
% 3.69/3.82
% 3.69/3.82 cnf(cls_ns__shared_ONS4_0,axiom,
% 3.69/3.82 ( 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))
% 3.69/3.82 | ~ 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)
% 3.69/3.82 | ~ c_in(V_K,c_Message_OsymKeys,tc_nat)
% 3.69/3.82 | c_in(c_Message_Omsg_ONonce(V_NB),c_Event_Oused(V_evs4),tc_Message_Omsg)
% 3.69/3.82 | ~ c_in(V_evs4,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent)) ) ).
% 3.69/3.82
% 3.69/3.82 cnf(cls_ns__shared_ONS2_0,axiom,
% 3.69/3.82 ( 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))
% 3.69/3.82 | ~ 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)
% 3.69/3.82 | ~ c_in(V_KAB,c_Message_OsymKeys,tc_nat)
% 3.69/3.82 | c_in(hAPP(c_Message_Omsg_OKey,V_KAB),c_Event_Oused(V_evs2),tc_Message_Omsg)
% 3.69/3.82 | ~ c_in(V_evs2,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent)) ) ).
% 3.69/3.82
% 3.69/3.82 cnf(cls_Says__imp__parts__knows__Spy_0,axiom,
% 3.69/3.82 ( c_in(V_X,c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,V_evs)),tc_Message_Omsg)
% 3.69/3.82 | ~ c_in(c_Event_Oevent_OSays(V_A,V_B,V_X),c_List_Oset(V_evs,tc_Event_Oevent),tc_Event_Oevent) ) ).
% 3.69/3.82
% 3.69/3.82 cnf(cls_Says__imp__analz__Spy_0,axiom,
% 3.69/3.82 ( c_in(V_X,c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,V_evs)),tc_Message_Omsg)
% 3.69/3.82 | ~ c_in(c_Event_Oevent_OSays(V_A,V_B,V_X),c_List_Oset(V_evs,tc_Event_Oevent),tc_Event_Oevent) ) ).
% 3.69/3.82
% 3.69/3.82 cnf(cls_knows__Spy__Notes_0,axiom,
% 3.69/3.82 ( 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)
% 3.69/3.82 | ~ c_in(V_A,c_Event_Obad,tc_Message_Oagent) ) ).
% 3.69/3.82
% 3.69/3.82 cnf(cls_ns__shared_ONS1_0,axiom,
% 3.69/3.82 ( 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))
% 3.69/3.82 | c_in(c_Message_Omsg_ONonce(V_NA),c_Event_Oused(V_evs1),tc_Message_Omsg)
% 3.69/3.82 | ~ c_in(V_evs1,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent)) ) ).
% 3.69/3.82
% 3.69/3.82 cnf(cls_ns__shared_OOops_0,axiom,
% 3.69/3.82 ( 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))
% 3.69/3.82 | ~ 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)
% 3.69/3.82 | ~ 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)
% 3.69/3.82 | ~ c_in(V_evso,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent)) ) ).
% 3.69/3.82
% 3.69/3.82 cnf(cls_ns__shared_ONS3_0,axiom,
% 3.69/3.82 ( 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))
% 3.69/3.82 | ~ 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)
% 3.69/3.82 | ~ 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)
% 3.69/3.82 | V_A = c_Message_Oagent_OServer
% 3.69/3.82 | ~ c_in(V_evs3,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent)) ) ).
% 3.69/3.82
% 3.69/3.82 cnf(cls_Oops__parts__spies_0,axiom,
% 3.69/3.82 ( c_in(V_K,c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,V_evs)),tc_Message_Omsg)
% 3.69/3.82 | ~ 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) ) ).
% 3.69/3.82
% 3.69/3.82 cnf(cls_Notes__imp__knows__Spy_0,axiom,
% 3.69/3.82 ( c_in(V_X,c_Event_Oknows(c_Message_Oagent_OSpy,V_evs),tc_Message_Omsg)
% 3.69/3.82 | ~ c_in(V_A,c_Event_Obad,tc_Message_Oagent)
% 3.69/3.82 | ~ c_in(c_Event_Oevent_ONotes(V_A,V_X),c_List_Oset(V_evs,tc_Event_Oevent),tc_Event_Oevent) ) ).
% 3.69/3.82
% 3.69/3.82 cnf(cls_Says__Server__message__form_2,axiom,
% 3.69/3.82 ( V_K_H = hAPP(c_Public_OshrK,V_A)
% 3.69/3.82 | ~ c_in(V_evs,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))
% 3.69/3.82 | ~ 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) ) ).
% 3.69/3.82
% 3.69/3.82 cnf(cls_unique__session__keys_0,axiom,
% 3.69/3.82 ( V_A = V_A_H
% 3.69/3.82 | ~ c_in(V_evs,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))
% 3.69/3.82 | ~ 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)
% 3.69/3.82 | ~ 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) ) ).
% 3.69/3.82
% 3.69/3.82 cnf(cls_unique__session__keys_1,axiom,
% 3.69/3.82 ( V_NA = V_NA_H
% 3.69/3.82 | ~ c_in(V_evs,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))
% 3.69/3.82 | ~ 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)
% 3.69/3.82 | ~ 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) ) ).
% 3.69/3.82
% 3.69/3.82 cnf(cls_unique__session__keys_2,axiom,
% 3.69/3.82 ( V_B = V_B_H
% 3.69/3.82 | ~ c_in(V_evs,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))
% 3.69/3.82 | ~ 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)
% 3.69/3.82 | ~ 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) ) ).
% 3.69/3.82
% 3.69/3.82 cnf(cls_unique__session__keys_3,axiom,
% 3.69/3.82 ( V_X = V_X_H
% 3.69/3.82 | ~ c_in(V_evs,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))
% 3.69/3.82 | ~ 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)
% 3.69/3.82 | ~ 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) ) ).
% 3.69/3.82
% 3.69/3.82 cnf(cls_Says__Server__message__form_1,axiom,
% 3.69/3.82 ( 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)))
% 3.69/3.82 | ~ c_in(V_evs,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))
% 3.69/3.82 | ~ 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) ) ).
% 3.69/3.82
% 3.69/3.82 cnf(cls_MPair__used_1,axiom,
% 3.69/3.82 ( c_in(V_Y,c_Event_Oused(V_H),tc_Message_Omsg)
% 3.69/3.82 | ~ c_in(c_Message_Omsg_OMPair(V_X,V_Y),c_Event_Oused(V_H),tc_Message_Omsg) ) ).
% 3.69/3.82
% 3.69/3.82 cnf(cls_MPair__used_0,axiom,
% 3.69/3.82 ( c_in(V_X,c_Event_Oused(V_H),tc_Message_Omsg)
% 3.69/3.82 | ~ c_in(c_Message_Omsg_OMPair(V_X,V_Y),c_Event_Oused(V_H),tc_Message_Omsg) ) ).
% 3.69/3.82
% 3.69/3.82 cnf(cls_synth_OMPair_0,axiom,
% 3.69/3.82 ( c_in(c_Message_Omsg_OMPair(V_X,V_Y),c_Message_Osynth(V_H),tc_Message_Omsg)
% 3.69/3.82 | ~ c_in(V_Y,c_Message_Osynth(V_H),tc_Message_Omsg)
% 3.69/3.82 | ~ c_in(V_X,c_Message_Osynth(V_H),tc_Message_Omsg) ) ).
% 3.69/3.82
% 3.69/3.82 cnf(cls_MPair__synth_1,axiom,
% 3.69/3.82 ( c_in(V_Y,c_Message_Osynth(V_H),tc_Message_Omsg)
% 3.69/3.82 | c_in(c_Message_Omsg_OMPair(V_X,V_Y),V_H,tc_Message_Omsg)
% 3.69/3.82 | ~ c_in(c_Message_Omsg_OMPair(V_X,V_Y),c_Message_Osynth(V_H),tc_Message_Omsg) ) ).
% 3.69/3.82
% 3.69/3.82 cnf(cls_MPair__synth_0,axiom,
% 3.69/3.82 ( c_in(V_X,c_Message_Osynth(V_H),tc_Message_Omsg)
% 3.69/3.82 | c_in(c_Message_Omsg_OMPair(V_X,V_Y),V_H,tc_Message_Omsg)
% 3.69/3.82 | ~ c_in(c_Message_Omsg_OMPair(V_X,V_Y),c_Message_Osynth(V_H),tc_Message_Omsg) ) ).
% 3.69/3.82
% 3.69/3.82 cnf(cls_parts__insertI_0,axiom,
% 3.69/3.82 ( c_in(V_c,c_Message_Oparts(c_Set_Oinsert(V_a,V_G,tc_Message_Omsg)),tc_Message_Omsg)
% 3.69/3.82 | ~ c_in(V_c,c_Message_Oparts(V_G),tc_Message_Omsg) ) ).
% 3.69/3.82
% 3.69/3.82 cnf(cls_parts__cut__eq_0,axiom,
% 3.69/3.82 ( c_Message_Oparts(c_Set_Oinsert(V_X,V_H,tc_Message_Omsg)) = c_Message_Oparts(V_H)
% 3.69/3.82 | ~ c_in(V_X,c_Message_Oparts(V_H),tc_Message_Omsg) ) ).
% 3.69/3.82
% 3.69/3.82 cnf(cls_parts__insert__MPair_0,axiom,
% 3.69/3.82 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) ).
% 3.69/3.82
% 3.69/3.82 cnf(cls_Crypt__synth_0,axiom,
% 3.69/3.82 ( c_in(V_X,c_Message_Osynth(V_H),tc_Message_Omsg)
% 3.69/3.82 | c_in(c_Message_Omsg_OCrypt(V_K,V_X),V_H,tc_Message_Omsg)
% 3.69/3.82 | ~ c_in(c_Message_Omsg_OCrypt(V_K,V_X),c_Message_Osynth(V_H),tc_Message_Omsg) ) ).
% 3.69/3.82
% 3.69/3.82 cnf(cls_pushes_I12_J_0,axiom,
% 3.69/3.82 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) ).
% 3.69/3.82
% 3.69/3.82 cnf(cls_Key__synth__eq_1,axiom,
% 3.69/3.82 ( c_in(hAPP(c_Message_Omsg_OKey,V_K),c_Message_Osynth(V_H),tc_Message_Omsg)
% 3.69/3.82 | ~ c_in(hAPP(c_Message_Omsg_OKey,V_K),V_H,tc_Message_Omsg) ) ).
% 3.69/3.82
% 3.69/3.82 cnf(cls_Key__synth_0,axiom,
% 3.69/3.82 ( c_in(hAPP(c_Message_Omsg_OKey,V_K),V_H,tc_Message_Omsg)
% 3.69/3.82 | ~ c_in(hAPP(c_Message_Omsg_OKey,V_K),c_Message_Osynth(V_H),tc_Message_Omsg) ) ).
% 3.69/3.82
% 3.69/3.82 cnf(cls_analz__cut_0,axiom,
% 3.69/3.82 ( c_in(V_Y,c_Message_Oanalz(V_H),tc_Message_Omsg)
% 3.69/3.82 | ~ c_in(V_X,c_Message_Oanalz(V_H),tc_Message_Omsg)
% 3.69/3.82 | ~ c_in(V_Y,c_Message_Oanalz(c_Set_Oinsert(V_X,V_H,tc_Message_Omsg)),tc_Message_Omsg) ) ).
% 3.69/3.82
% 3.69/3.82 cnf(cls_analz__insert__eq_0,axiom,
% 3.69/3.82 ( c_Message_Oanalz(c_Set_Oinsert(V_X,V_H,tc_Message_Omsg)) = c_Message_Oanalz(V_H)
% 3.69/3.82 | ~ c_in(V_X,c_Message_Oanalz(V_H),tc_Message_Omsg) ) ).
% 3.69/3.82
% 3.69/3.82 cnf(cls_analz__insertI_0,axiom,
% 3.69/3.82 ( c_in(V_c,c_Message_Oanalz(c_Set_Oinsert(V_a,V_G,tc_Message_Omsg)),tc_Message_Omsg)
% 3.69/3.82 | ~ c_in(V_c,c_Message_Oanalz(V_G),tc_Message_Omsg) ) ).
% 3.69/3.82
% 3.69/3.82 cnf(cls_pushes_I5_J_0,axiom,
% 3.69/3.82 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) ).
% 3.69/3.82
% 3.69/3.82 cnf(cls_analz__insert__MPair_0,axiom,
% 3.69/3.82 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) ).
% 3.69/3.82
% 3.69/3.82 cnf(cls_parts__insert__Crypt_0,axiom,
% 3.69/3.82 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) ).
% 3.69/3.82
% 3.69/3.82 cnf(cls_analz__Crypt__if_0,axiom,
% 3.69/3.82 ( 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)
% 3.69/3.82 | ~ c_in(hAPP(c_Message_Omsg_OKey,hAPP(c_Message_OinvKey,V_K)),c_Message_Oanalz(V_H),tc_Message_Omsg) ) ).
% 3.69/3.82
% 3.69/3.82 cnf(cls_analz__Crypt__if_1,axiom,
% 3.69/3.82 ( 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)
% 3.69/3.82 | c_in(hAPP(c_Message_Omsg_OKey,hAPP(c_Message_OinvKey,V_K)),c_Message_Oanalz(V_H),tc_Message_Omsg) ) ).
% 3.69/3.82
% 3.69/3.82 cnf(cls_Crypt__synth__analz_1,axiom,
% 3.69/3.82 ( c_in(c_Message_Omsg_OCrypt(V_K,V_X),c_Message_Osynth(c_Message_Oanalz(V_H)),tc_Message_Omsg)
% 3.69/3.82 | ~ c_in(V_X,c_Message_Osynth(c_Message_Oanalz(V_H)),tc_Message_Omsg)
% 3.69/3.82 | ~ c_in(hAPP(c_Message_Omsg_OKey,hAPP(c_Message_OinvKey,V_K)),c_Message_Oanalz(V_H),tc_Message_Omsg)
% 3.69/3.82 | ~ c_in(hAPP(c_Message_Omsg_OKey,V_K),c_Message_Oanalz(V_H),tc_Message_Omsg) ) ).
% 3.69/3.82
% 3.69/3.82 cnf(cls_Crypt__synth__analz_0,axiom,
% 3.69/3.82 ( c_in(V_X,c_Message_Osynth(c_Message_Oanalz(V_H)),tc_Message_Omsg)
% 3.69/3.82 | ~ c_in(c_Message_Omsg_OCrypt(V_K,V_X),c_Message_Osynth(c_Message_Oanalz(V_H)),tc_Message_Omsg)
% 3.69/3.82 | ~ c_in(hAPP(c_Message_Omsg_OKey,hAPP(c_Message_OinvKey,V_K)),c_Message_Oanalz(V_H),tc_Message_Omsg)
% 3.69/3.82 | ~ c_in(hAPP(c_Message_Omsg_OKey,V_K),c_Message_Oanalz(V_H),tc_Message_Omsg) ) ).
% 3.69/3.82
% 3.69/3.82 cnf(cls_parts__insert__Key_0,axiom,
% 3.69/3.82 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) ).
% 3.69/3.82
% 3.69/3.82 cnf(cls_parts__image__Key_0,axiom,
% 3.69/3.82 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) ).
% 3.69/3.82
% 3.69/3.82 cnf(cls_synth_OAgent_0,axiom,
% 3.69/3.82 c_in(c_Message_Omsg_OAgent(V_agt),c_Message_Osynth(V_H),tc_Message_Omsg) ).
% 3.69/3.82
% 3.69/3.82 cnf(cls_Agent__synth_0,axiom,
% 3.69/3.82 c_in(c_Message_Omsg_OAgent(V_A),c_Message_Osynth(V_H),tc_Message_Omsg) ).
% 3.69/3.82
% 3.69/3.82 cnf(cls_NS3__msg__in__parts__spies_0,axiom,
% 3.69/3.82 ( c_in(V_X,c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,V_evs)),tc_Message_Omsg)
% 3.69/3.82 | ~ 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) ) ).
% 3.69/3.82
% 3.69/3.82 cnf(cls_pushes_I6_J_0,axiom,
% 3.69/3.82 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) ).
% 3.69/3.82
% 3.69/3.82 cnf(cls_Nonce__synth__eq_1,axiom,
% 3.69/3.82 ( c_in(c_Message_Omsg_ONonce(V_N),c_Message_Osynth(V_H),tc_Message_Omsg)
% 3.69/3.82 | ~ c_in(c_Message_Omsg_ONonce(V_N),V_H,tc_Message_Omsg) ) ).
% 3.69/3.82
% 3.69/3.82 cnf(cls_Nonce__synth__eq_0,axiom,
% 3.69/3.82 ( c_in(c_Message_Omsg_ONonce(V_N),V_H,tc_Message_Omsg)
% 3.69/3.82 | ~ c_in(c_Message_Omsg_ONonce(V_N),c_Message_Osynth(V_H),tc_Message_Omsg) ) ).
% 3.69/3.82
% 3.69/3.82 cnf(cls_Nonce__synth_0,axiom,
% 3.69/3.82 ( c_in(c_Message_Omsg_ONonce(V_n),V_H,tc_Message_Omsg)
% 3.69/3.82 | ~ c_in(c_Message_Omsg_ONonce(V_n),c_Message_Osynth(V_H),tc_Message_Omsg) ) ).
% 3.69/3.82
% 3.69/3.82 cnf(cls_analz__image__Key_0,axiom,
% 3.69/3.82 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) ).
% 3.69/3.82
% 3.69/3.82 cnf(cls_parts__insert__Agent_0,axiom,
% 3.69/3.82 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) ).
% 3.69/3.82
% 3.69/3.82 cnf(cls_analz__mono__contra_I2_J_0,axiom,
% 3.69/3.82 ( ~ c_in(V_c,c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,V_evs)),tc_Message_Omsg)
% 3.69/3.82 | 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) ) ).
% 3.69/3.82
% 3.69/3.82 cnf(cls_analz__mono__contra_I1_J_0,axiom,
% 3.69/3.82 ( ~ c_in(V_c,c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,V_evs)),tc_Message_Omsg)
% 3.69/3.82 | 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) ) ).
% 3.69/3.82
% 3.69/3.82 cnf(cls_pushes_I8_J_0,axiom,
% 3.69/3.82 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) ).
% 3.69/3.82
% 3.69/3.82 cnf(cls_parts__insert__Nonce_0,axiom,
% 3.69/3.82 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) ).
% 3.69/3.82
% 3.69/3.82 cnf(cls_pushes_I1_J_0,axiom,
% 3.69/3.82 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) ).
% 3.69/3.82
% 3.69/3.82 cnf(cls_shrK__image__eq_0,axiom,
% 3.69/3.82 ( c_in(V_x,V_AA,tc_Message_Oagent)
% 3.69/3.82 | ~ c_in(hAPP(c_Public_OshrK,V_x),c_Set_Oimage(c_Public_OshrK,V_AA,tc_Message_Oagent,tc_nat),tc_nat) ) ).
% 3.69/3.82
% 3.69/3.82 cnf(cls_shrK__image__eq_1,axiom,
% 3.69/3.82 ( c_in(hAPP(c_Public_OshrK,V_x),c_Set_Oimage(c_Public_OshrK,V_AA,tc_Message_Oagent,tc_nat),tc_nat)
% 3.69/3.82 | ~ c_in(V_x,V_AA,tc_Message_Oagent) ) ).
% 3.69/3.82
% 3.69/3.82 cnf(cls_invKey__shrK_0,axiom,
% 3.69/3.82 hAPP(c_Message_OinvKey,hAPP(c_Public_OshrK,V_A)) = hAPP(c_Public_OshrK,V_A) ).
% 3.69/3.82
% 3.69/3.82 cnf(cls_shrK__neq__pubK_0,axiom,
% 3.69/3.82 hAPP(c_Public_OpublicKey(V_b),V_C) != hAPP(c_Public_OshrK,V_A) ).
% 3.69/3.82
% 3.69/3.82 cnf(cls_pubK__neq__shrK_0,axiom,
% 3.69/3.82 hAPP(c_Public_OshrK,V_A) != hAPP(c_Public_OpublicKey(V_b),V_C) ).
% 3.69/3.82
% 3.69/3.82 cnf(cls_Says__Server__message__form_0,axiom,
% 3.69/3.82 ( ~ 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)
% 3.69/3.82 | ~ c_in(V_evs,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))
% 3.69/3.82 | ~ 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) ) ).
% 3.69/3.82
% 3.69/3.82 cnf(cls_agent_Osimps_I5_J_0,axiom,
% 3.69/3.82 c_Message_Oagent_OSpy != c_Message_Oagent_OServer ).
% 3.69/3.82
% 3.69/3.82 cnf(cls_agent_Osimps_I4_J_0,axiom,
% 3.69/3.82 c_Message_Oagent_OServer != c_Message_Oagent_OSpy ).
% 3.69/3.82
% 3.69/3.82 cnf(cls_Says__imp__spies_0,axiom,
% 3.69/3.82 ( c_in(V_X,c_Event_Oknows(c_Message_Oagent_OSpy,V_evs),tc_Message_Omsg)
% 3.69/3.82 | ~ c_in(c_Event_Oevent_OSays(V_A,V_B,V_X),c_List_Oset(V_evs,tc_Event_Oevent),tc_Event_Oevent) ) ).
% 3.69/3.82
% 3.69/3.82 cnf(cls_analz__insert__cong_0,axiom,
% 3.69/3.82 ( c_Message_Oanalz(V_H) != c_Message_Oanalz(V_H_H)
% 3.69/3.82 | 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)) ) ).
% 3.69/3.82
% 3.69/3.82 cnf(cls_Nonce__notin__used__empty_0,axiom,
% 3.69/3.82 ~ c_in(c_Message_Omsg_ONonce(V_N),c_Event_Oused(c_List_Olist_ONil(tc_Event_Oevent)),tc_Message_Omsg) ).
% 3.69/3.82
% 3.69/3.82 cnf(cls_Fake__analz__eq_0,axiom,
% 3.69/3.82 ( c_Message_Osynth(c_Message_Oanalz(c_Set_Oinsert(V_X,V_H,tc_Message_Omsg))) = c_Message_Osynth(c_Message_Oanalz(V_H))
% 3.69/3.82 | ~ c_in(V_X,c_Message_Osynth(c_Message_Oanalz(V_H)),tc_Message_Omsg) ) ).
% 3.69/3.82
% 3.69/3.82 cnf(cls_publicKey__in__initState_0,axiom,
% 3.69/3.82 c_in(hAPP(c_Message_Omsg_OKey,hAPP(c_Public_OpublicKey(V_b),V_A)),c_Event_OinitState(V_B),tc_Message_Omsg) ).
% 3.69/3.82
% 3.69/3.82 cnf(cls_Key__image__eq_0,axiom,
% 3.69/3.82 ( c_in(V_x,V_A,tc_nat)
% 3.69/3.82 | ~ 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) ) ).
% 3.69/3.82
% 3.69/3.82 cnf(cls_Key__image__eq_1,axiom,
% 3.69/3.82 ( 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)
% 3.69/3.82 | ~ c_in(V_x,V_A,tc_nat) ) ).
% 3.69/3.82
% 3.69/3.82 cnf(cls_publicKey__into__used_0,axiom,
% 3.69/3.82 c_in(hAPP(c_Message_Omsg_OKey,hAPP(c_Public_OpublicKey(V_b),V_A)),c_Event_Oused(V_evs),tc_Message_Omsg) ).
% 3.69/3.82
% 3.69/3.82 cnf(cls_Crypt__notin__used__empty_0,axiom,
% 3.69/3.82 ~ c_in(c_Message_Omsg_OCrypt(V_K,V_X),c_Event_Oused(c_List_Olist_ONil(tc_Event_Oevent)),tc_Message_Omsg) ).
% 3.69/3.82
% 3.69/3.82 cnf(cls_initState__into__used_0,axiom,
% 3.69/3.82 ( c_in(V_X,c_Event_Oused(V_evs),tc_Message_Omsg)
% 3.69/3.82 | ~ c_in(V_X,c_Message_Oparts(c_Event_OinitState(V_B)),tc_Message_Omsg) ) ).
% 3.69/3.82
% 3.69/3.82 cnf(cls_synth__synthD_0,axiom,
% 3.69/3.82 ( c_in(V_X,c_Message_Osynth(V_H),tc_Message_Omsg)
% 3.69/3.82 | ~ c_in(V_X,c_Message_Osynth(c_Message_Osynth(V_H)),tc_Message_Omsg) ) ).
% 3.69/3.82
% 3.69/3.82 cnf(cls_synth_OInj_0,axiom,
% 3.69/3.82 ( c_in(V_X,c_Message_Osynth(V_H),tc_Message_Omsg)
% 3.69/3.82 | ~ c_in(V_X,V_H,tc_Message_Omsg) ) ).
% 3.69/3.82
% 3.69/3.82 cnf(cls_imageI_0,axiom,
% 3.69/3.82 ( c_in(hAPP(V_f,V_x),c_Set_Oimage(V_f,V_A,T_a,T_b),T_b)
% 3.69/3.82 | ~ c_in(V_x,V_A,T_a) ) ).
% 3.69/3.82
% 3.69/3.82 cnf(cls_image__eqI_0,axiom,
% 3.69/3.82 ( c_in(hAPP(V_f,V_x),c_Set_Oimage(V_f,V_A,T_b,T_a),T_a)
% 3.69/3.82 | ~ c_in(V_x,V_A,T_b) ) ).
% 3.69/3.82
% 3.69/3.82 cnf(cls_image__iff_2,axiom,
% 3.69/3.82 ( ~ c_in(V_x,V_A,T_b)
% 3.69/3.82 | c_in(hAPP(V_f,V_x),c_Set_Oimage(V_f,V_A,T_b,T_a),T_a) ) ).
% 3.69/3.82
% 3.69/3.82 cnf(cls_rev__image__eqI_0,axiom,
% 3.69/3.82 ( ~ c_in(V_x,V_A,T_aa)
% 3.69/3.82 | c_in(hAPP(V_f,V_x),c_Set_Oimage(V_f,V_A,T_aa,T_a),T_a) ) ).
% 3.69/3.82
% 3.69/3.82 cnf(cls_insert__absorb_0,axiom,
% 3.69/3.82 ( c_Set_Oinsert(V_a,V_A,T_a) = V_A
% 3.69/3.82 | ~ c_in(V_a,V_A,T_a) ) ).
% 3.69/3.82
% 3.69/3.82 cnf(cls_insert__ident_0,axiom,
% 3.69/3.82 ( c_Set_Oinsert(V_x,V_A,T_a) != c_Set_Oinsert(V_x,V_B,T_a)
% 3.69/3.82 | c_in(V_x,V_B,T_a)
% 3.69/3.82 | c_in(V_x,V_A,T_a)
% 3.69/3.82 | V_A = V_B ) ).
% 3.69/3.82
% 3.69/3.82 cnf(cls_insertCI_1,axiom,
% 3.69/3.82 c_in(V_x,c_Set_Oinsert(V_x,V_B,T_a),T_a) ).
% 3.69/3.82
% 3.69/3.82 cnf(cls_insertI1_0,axiom,
% 3.69/3.82 c_in(V_a,c_Set_Oinsert(V_a,V_B,T_a),T_a) ).
% 3.69/3.82
% 3.69/3.82 cnf(cls_insert__iff_1,axiom,
% 3.69/3.82 c_in(V_x,c_Set_Oinsert(V_x,V_A,T_a),T_a) ).
% 3.69/3.82
% 3.69/3.82 cnf(cls_UNIV__I_0,axiom,
% 3.69/3.82 c_in(V_x,c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_bool)),T_a) ).
% 3.69/3.82
% 3.69/3.82 cnf(cls_insertE_0,axiom,
% 3.69/3.82 ( c_in(V_a,V_A,T_a)
% 3.69/3.82 | V_a = V_b
% 3.69/3.82 | ~ c_in(V_a,c_Set_Oinsert(V_b,V_A,T_a),T_a) ) ).
% 3.69/3.82
% 3.69/3.82 cnf(cls_insertCI_0,axiom,
% 3.69/3.82 ( c_in(V_a,c_Set_Oinsert(V_b,V_B,T_a),T_a)
% 3.69/3.82 | ~ c_in(V_a,V_B,T_a) ) ).
% 3.69/3.82
% 3.69/3.82 cnf(cls_insert__iff_2,axiom,
% 3.69/3.82 ( c_in(V_a,c_Set_Oinsert(V_b,V_A,T_a),T_a)
% 3.69/3.82 | ~ c_in(V_a,V_A,T_a) ) ).
% 3.69/3.82
% 3.69/3.82 cnf(cls_Key__not__used_0,axiom,
% 3.69/3.82 ( ~ 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)
% 3.69/3.82 | c_in(hAPP(c_Message_Omsg_OKey,V_K),c_Event_Oused(V_evs),tc_Message_Omsg) ) ).
% 3.69/3.82
% 3.69/3.82 cnf(cls_privateKey__into__used_0,axiom,
% 3.69/3.82 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) ).
% 3.69/3.82
% 3.69/3.82 cnf(cls_shrK__notin__image__publicKey_0,axiom,
% 3.69/3.82 ~ 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) ).
% 3.69/3.82
% 3.69/3.82 cnf(cls_rev__is__Nil__conv_1,axiom,
% 3.69/3.82 c_List_Orev(c_List_Olist_ONil(T_a),T_a) = c_List_Olist_ONil(T_a) ).
% 3.69/3.82
% 3.69/3.82 cnf(cls_analz__image__freshK__simps_I56_J_0,axiom,
% 3.69/3.82 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) ).
% 3.69/3.82
% 3.69/3.82 cnf(cls_event_Osimps_I7_J_0,axiom,
% 3.69/3.82 c_Event_Oevent_ONotes(V_agent_H,V_msg_H) != c_Event_Oevent_OSays(V_agent1,V_agent2,V_msg) ).
% 3.69/3.82
% 3.69/3.82 cnf(cls_singleton__rev__conv_1,axiom,
% 3.69/3.82 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) ).
% 3.69/3.82
% 3.69/3.82 cnf(cls_not__Cons__self_0,axiom,
% 3.69/3.82 V_xs != c_List_Olist_OCons(V_x,V_xs,T_a) ).
% 3.69/3.82
% 3.69/3.82 cnf(cls_not__Cons__self2_0,axiom,
% 3.69/3.82 c_List_Olist_OCons(V_x,V_t,T_a) != V_t ).
% 3.69/3.82
% 3.69/3.82 cnf(cls_rev__is__Nil__conv_0,axiom,
% 3.69/3.82 ( c_List_Orev(V_xs,T_a) != c_List_Olist_ONil(T_a)
% 3.69/3.82 | V_xs = c_List_Olist_ONil(T_a) ) ).
% 3.69/3.82
% 3.69/3.82 cnf(cls_synth__idem_0,axiom,
% 3.69/3.82 c_Message_Osynth(c_Message_Osynth(V_H)) = c_Message_Osynth(V_H) ).
% 3.69/3.82
% 3.69/3.82 cnf(cls_list_Osimps_I3_J_0,axiom,
% 3.69/3.82 c_List_Olist_OCons(V_a_H,V_list_H,T_a) != c_List_Olist_ONil(T_a) ).
% 3.69/3.82
% 3.69/3.82 cnf(cls_neq__Nil__conv_1,axiom,
% 3.69/3.82 c_List_Olist_OCons(V_x,V_xa,T_a) != c_List_Olist_ONil(T_a) ).
% 3.69/3.82
% 3.69/3.82 cnf(cls_insert__image_0,axiom,
% 3.69/3.82 ( 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)
% 3.69/3.82 | ~ c_in(V_x,V_A,T_a) ) ).
% 3.69/3.82
% 3.69/3.82 cnf(cls_insert__code_2,axiom,
% 3.69/3.82 ( hBOOL(hAPP(c_Set_Oinsert(V_y,V_A,T_a),V_x))
% 3.69/3.82 | ~ hBOOL(hAPP(V_A,V_x)) ) ).
% 3.69/3.82
% 3.69/3.82 cnf(cls_Notes__imp__knows_0,axiom,
% 3.69/3.82 ( c_in(V_X,c_Event_Oknows(V_A,V_evs),tc_Message_Omsg)
% 3.69/3.82 | ~ c_in(c_Event_Oevent_ONotes(V_A,V_X),c_List_Oset(V_evs,tc_Event_Oevent),tc_Event_Oevent) ) ).
% 3.69/3.82
% 3.69/3.82 cnf(cls_rev__singleton__conv_1,axiom,
% 3.69/3.82 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) ).
% 3.69/3.82
% 3.69/3.82 cnf(cls_set__ConsD_0,axiom,
% 3.69/3.82 ( c_in(V_y,c_List_Oset(V_xs,T_a),T_a)
% 3.69/3.82 | V_y = V_x
% 3.69/3.82 | ~ c_in(V_y,c_List_Oset(c_List_Olist_OCons(V_x,V_xs,T_a),T_a),T_a) ) ).
% 3.69/3.82
% 3.69/3.82 cnf(cls_priK__in__initState_0,axiom,
% 3.69/3.82 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) ).
% 3.69/3.82
% 3.69/3.82 cnf(cls_rangeI_0,axiom,
% 3.69/3.82 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) ).
% 3.69/3.82
% 3.69/3.82 cnf(cls_insert__commute_0,axiom,
% 3.69/3.82 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) ).
% 3.69/3.82
% 3.69/3.82 cnf(cls_publicKey__inject_0,axiom,
% 3.69/3.82 ( hAPP(c_Public_OpublicKey(V_b),V_A) != hAPP(c_Public_OpublicKey(V_c),V_A_H)
% 3.69/3.82 | V_b = V_c ) ).
% 3.69/3.82
% 3.69/3.82 cnf(cls_publicKey__inject_1,axiom,
% 3.69/3.82 ( hAPP(c_Public_OpublicKey(V_b),V_A) != hAPP(c_Public_OpublicKey(V_c),V_A_H)
% 3.69/3.82 | V_A = V_A_H ) ).
% 3.69/3.82
% 3.69/3.82 cnf(cls_publicKey__notin__image__shrK_0,axiom,
% 3.69/3.82 ~ 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) ).
% 3.69/3.82
% 3.69/3.82 cnf(cls_singleton__rev__conv_0,axiom,
% 3.69/3.82 ( c_List_Olist_OCons(V_x,c_List_Olist_ONil(T_a),T_a) != c_List_Orev(V_xs,T_a)
% 3.69/3.82 | V_xs = c_List_Olist_OCons(V_x,c_List_Olist_ONil(T_a),T_a) ) ).
% 3.69/3.82
% 3.69/3.82 cnf(cls_privateKey__neq__publicKey_0,axiom,
% 3.69/3.82 hAPP(c_Message_OinvKey,hAPP(c_Public_OpublicKey(V_b),V_A)) != hAPP(c_Public_OpublicKey(V_c),V_A_H) ).
% 3.69/3.82
% 3.69/3.82 cnf(cls_event_Osimps_I6_J_0,axiom,
% 3.69/3.82 c_Event_Oevent_OSays(V_agent1,V_agent2,V_msg) != c_Event_Oevent_ONotes(V_agent_H,V_msg_H) ).
% 3.69/3.82
% 3.69/3.82 cnf(cls_invKey__eq_0,axiom,
% 3.69/3.82 ( hAPP(c_Message_OinvKey,V_K) != hAPP(c_Message_OinvKey,V_K_H)
% 3.69/3.82 | V_K = V_K_H ) ).
% 3.69/3.82
% 3.69/3.82 cnf(cls_publicKey__image__eq_0,axiom,
% 3.69/3.82 ( V_b = V_c
% 3.69/3.82 | ~ 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) ) ).
% 3.69/3.82
% 3.69/3.82 cnf(cls_publicKey__image__eq_1,axiom,
% 3.69/3.82 ( c_in(V_x,V_AA,tc_Message_Oagent)
% 3.69/3.82 | ~ 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) ) ).
% 3.69/3.82
% 3.69/3.82 cnf(cls_publicKey__image__eq_2,axiom,
% 3.69/3.82 ( 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)
% 3.69/3.82 | ~ c_in(V_xa,V_AA,tc_Message_Oagent) ) ).
% 3.69/3.82
% 3.69/3.82 cnf(cls_synth__cut_0,axiom,
% 3.69/3.82 ( c_in(V_Y,c_Message_Osynth(V_H),tc_Message_Omsg)
% 3.69/3.82 | ~ c_in(V_X,c_Message_Osynth(V_H),tc_Message_Omsg)
% 3.69/3.82 | ~ c_in(V_Y,c_Message_Osynth(c_Set_Oinsert(V_X,V_H,tc_Message_Omsg)),tc_Message_Omsg) ) ).
% 3.69/3.82
% 3.69/3.82 cnf(cls_Says__imp__used_0,axiom,
% 3.69/3.82 ( c_in(V_X,c_Event_Oused(V_evs),tc_Message_Omsg)
% 3.69/3.82 | ~ c_in(c_Event_Oevent_OSays(V_A,V_B,V_X),c_List_Oset(V_evs,tc_Event_Oevent),tc_Event_Oevent) ) ).
% 3.69/3.82
% 3.69/3.82 cnf(cls_privateKey__notin__image__publicKey_0,axiom,
% 3.69/3.82 ~ 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) ).
% 3.69/3.82
% 3.69/3.82 cnf(cls_rev__swap_0,axiom,
% 3.69/3.82 V_xs = c_List_Orev(c_List_Orev(V_xs,T_a),T_a) ).
% 3.69/3.82
% 3.69/3.82 cnf(cls_rev__swap_1,axiom,
% 3.69/3.82 c_List_Orev(c_List_Orev(V_ys,T_a),T_a) = V_ys ).
% 3.69/3.82
% 3.69/3.82 cnf(cls_rev__rev__ident_0,axiom,
% 3.69/3.82 c_List_Orev(c_List_Orev(V_xs,T_a),T_a) = V_xs ).
% 3.69/3.82
% 3.69/3.82 cnf(cls_insert__absorb2_0,axiom,
% 3.69/3.82 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) ).
% 3.69/3.82
% 3.69/3.82 cnf(cls_insert__code_0,axiom,
% 3.69/3.82 ( hBOOL(hAPP(V_A,V_x))
% 3.69/3.82 | V_y = V_x
% 3.69/3.82 | ~ hBOOL(hAPP(c_Set_Oinsert(V_y,V_A,T_a),V_x)) ) ).
% 3.69/3.82
% 3.69/3.82 cnf(cls_rev__singleton__conv_0,axiom,
% 3.69/3.82 ( c_List_Orev(V_xs,T_a) != c_List_Olist_OCons(V_x,c_List_Olist_ONil(T_a),T_a)
% 3.69/3.82 | V_xs = c_List_Olist_OCons(V_x,c_List_Olist_ONil(T_a),T_a) ) ).
% 3.69/3.82
% 3.69/3.82 cnf(cls_knows__Notes_0,axiom,
% 3.69/3.82 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) ).
% 3.69/3.82
% 3.69/3.82 cnf(cls_top1I_0,axiom,
% 3.69/3.82 hBOOL(hAPP(c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_bool)),V_x)) ).
% 3.69/3.82
% 3.69/3.82 cnf(cls_set__rev_0,axiom,
% 3.69/3.82 c_List_Oset(c_List_Orev(V_xs,T_a),T_a) = c_List_Oset(V_xs,T_a) ).
% 3.69/3.82
% 3.69/3.82 cnf(cls_privateKey__notin__image__shrK_0,axiom,
% 3.69/3.82 ~ 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) ).
% 3.69/3.82
% 3.69/3.82 cnf(cls_list_Osimps_I2_J_0,axiom,
% 3.69/3.82 c_List_Olist_ONil(T_a) != c_List_Olist_OCons(V_a_H,V_list_H,T_a) ).
% 3.69/3.82
% 3.69/3.82 cnf(cls_event_Osimps_I3_J_1,axiom,
% 3.69/3.82 ( c_Event_Oevent_ONotes(V_agent,V_msg) != c_Event_Oevent_ONotes(V_agent_H,V_msg_H)
% 3.69/3.82 | V_msg = V_msg_H ) ).
% 3.69/3.82
% 3.69/3.82 cnf(cls_event_Osimps_I3_J_0,axiom,
% 3.69/3.82 ( c_Event_Oevent_ONotes(V_agent,V_msg) != c_Event_Oevent_ONotes(V_agent_H,V_msg_H)
% 3.69/3.82 | V_agent = V_agent_H ) ).
% 3.69/3.82
% 3.69/3.82 cnf(cls_Notes__imp__used_0,axiom,
% 3.69/3.82 ( c_in(V_X,c_Event_Oused(V_evs),tc_Message_Omsg)
% 3.69/3.82 | ~ c_in(c_Event_Oevent_ONotes(V_A,V_X),c_List_Oset(V_evs,tc_Event_Oevent),tc_Event_Oevent) ) ).
% 3.69/3.82
% 3.69/3.82 cnf(cls_knows__Says_0,axiom,
% 3.69/3.82 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) ).
% 3.69/3.82
% 3.69/3.82 cnf(cls_rev__is__rev__conv_0,axiom,
% 3.69/3.82 ( c_List_Orev(V_xs,T_a) != c_List_Orev(V_ys,T_a)
% 3.69/3.82 | V_xs = V_ys ) ).
% 3.69/3.82
% 3.69/3.82 cnf(cls_image__insert_0,axiom,
% 3.69/3.82 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) ).
% 3.69/3.82
% 3.69/3.82 cnf(cls_Nil__is__rev__conv_0,axiom,
% 3.69/3.82 ( c_List_Olist_ONil(T_a) != c_List_Orev(V_xs,T_a)
% 3.69/3.82 | V_xs = c_List_Olist_ONil(T_a) ) ).
% 3.69/3.82
% 3.69/3.82 cnf(cls_insert__code_1,axiom,
% 3.69/3.82 hBOOL(hAPP(c_Set_Oinsert(V_x,V_A,T_a),V_x)) ).
% 3.69/3.82
% 3.69/3.82 cnf(cls_invKey_0,axiom,
% 3.69/3.82 hAPP(c_Message_OinvKey,hAPP(c_Message_OinvKey,V_K)) = V_K ).
% 3.69/3.82
% 3.69/3.82 cnf(cls_event_Osimps_I1_J_2,axiom,
% 3.69/3.82 ( c_Event_Oevent_OSays(V_agent1,V_agent2,V_msg) != c_Event_Oevent_OSays(V_agent1_H,V_agent2_H,V_msg_H)
% 3.69/3.82 | V_msg = V_msg_H ) ).
% 3.69/3.82
% 3.69/3.82 cnf(cls_event_Osimps_I1_J_1,axiom,
% 3.69/3.82 ( c_Event_Oevent_OSays(V_agent1,V_agent2,V_msg) != c_Event_Oevent_OSays(V_agent1_H,V_agent2_H,V_msg_H)
% 3.69/3.82 | V_agent2 = V_agent2_H ) ).
% 3.69/3.82
% 3.69/3.82 cnf(cls_event_Osimps_I1_J_0,axiom,
% 3.69/3.82 ( c_Event_Oevent_OSays(V_agent1,V_agent2,V_msg) != c_Event_Oevent_OSays(V_agent1_H,V_agent2_H,V_msg_H)
% 3.69/3.82 | V_agent1 = V_agent1_H ) ).
% 3.69/3.82
% 3.69/3.82 cnf(cls_knows__Spy__Says_0,axiom,
% 3.69/3.82 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) ).
% 3.69/3.82
% 3.69/3.82 cnf(cls_knows__Nil_0,axiom,
% 3.69/3.82 c_Event_Oknows(V_A,c_List_Olist_ONil(tc_Event_Oevent)) = c_Event_OinitState(V_A) ).
% 3.69/3.82
% 3.69/3.82 cnf(cls_list_Oinject_0,axiom,
% 3.69/3.82 ( c_List_Olist_OCons(V_a,V_list,T_a) != c_List_Olist_OCons(V_a_H,V_list_H,T_a)
% 3.69/3.82 | V_a = V_a_H ) ).
% 3.69/3.82
% 3.69/3.82 cnf(cls_list_Oinject_1,axiom,
% 3.69/3.82 ( c_List_Olist_OCons(V_a,V_list,T_a) != c_List_Olist_OCons(V_a_H,V_list_H,T_a)
% 3.69/3.82 | V_list = V_list_H ) ).
% 3.69/3.82
% 3.69/3.82 cnf(cls_priK__neq__shrK_0,axiom,
% 3.69/3.82 hAPP(c_Public_OshrK,V_A) != hAPP(c_Message_OinvKey,hAPP(c_Public_OpublicKey(V_b),V_C)) ).
% 3.69/3.82
% 3.69/3.82 cnf(cls_Nil__is__rev__conv_1,axiom,
% 3.69/3.82 c_List_Olist_ONil(T_a) = c_List_Orev(c_List_Olist_ONil(T_a),T_a) ).
% 3.69/3.82
% 3.69/3.82 cnf(cls_List_Oset_Osimps_I2_J_0,axiom,
% 3.69/3.82 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) ).
% 3.69/3.82
% 3.69/3.82 cnf(cls_Says__imp__knows_0,axiom,
% 3.69/3.82 ( c_in(V_X,c_Event_Oknows(V_A,V_evs),tc_Message_Omsg)
% 3.69/3.82 | ~ c_in(c_Event_Oevent_OSays(V_A,V_B,V_X),c_List_Oset(V_evs,tc_Event_Oevent),tc_Event_Oevent) ) ).
% 3.69/3.82
% 3.69/3.82 cnf(cls_shrK__neq__priK_0,axiom,
% 3.69/3.82 hAPP(c_Message_OinvKey,hAPP(c_Public_OpublicKey(V_b),V_C)) != hAPP(c_Public_OshrK,V_A) ).
% 3.69/3.82
% 3.69/3.82 cnf(cls_publicKey__neq__privateKey_0,axiom,
% 3.69/3.82 hAPP(c_Public_OpublicKey(V_c),V_A_H) != hAPP(c_Message_OinvKey,hAPP(c_Public_OpublicKey(V_b),V_A)) ).
% 3.69/3.82
% 3.69/3.82 cnf(cls_analz__insert__Agent_0,axiom,
% 3.69/3.82 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) ).
% 3.69/3.82
% 3.69/3.82 cnf(cls_pushes_I9_J_0,axiom,
% 3.69/3.82 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) ).
% 3.69/3.82
% 3.69/3.82 cnf(cls_pushes_I2_J_0,axiom,
% 3.69/3.82 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) ).
% 3.69/3.82
% 3.69/3.82 cnf(cls_analz__insert__Nonce_0,axiom,
% 3.69/3.82 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) ).
% 3.69/3.82
% 3.69/3.82 cnf(cls_Says__S__message__form_0,axiom,
% 3.69/3.82 ( c_in(V_X,c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,V_evs)),tc_Message_Omsg)
% 3.69/3.82 | ~ 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)
% 3.69/3.82 | ~ c_in(V_evs,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))
% 3.69/3.82 | ~ 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) ) ).
% 3.69/3.82
% 3.69/3.82 cnf(cls_spies__evs__rev_0,axiom,
% 3.69/3.82 c_Event_Oknows(c_Message_Oagent_OSpy,V_evs) = c_Event_Oknows(c_Message_Oagent_OSpy,c_List_Orev(V_evs,tc_Event_Oevent)) ).
% 3.69/3.82
% 3.69/3.82 cnf(cls_analz__insert__freshK_2,axiom,
% 3.69/3.82 ( 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)
% 3.69/3.82 | ~ c_in(hAPP(c_Message_Omsg_OKey,V_K),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,V_evs)),tc_Message_Omsg)
% 3.69/3.82 | 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)
% 3.69/3.82 | ~ c_in(V_evs,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent)) ) ).
% 3.69/3.82
% 3.69/3.82 cnf(cls_analz__insert__freshK_0,axiom,
% 3.69/3.82 ( c_in(hAPP(c_Message_Omsg_OKey,V_K),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,V_evs)),tc_Message_Omsg)
% 3.69/3.82 | V_K = V_KAB
% 3.69/3.82 | ~ 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)
% 3.69/3.82 | 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)
% 3.69/3.82 | ~ c_in(V_evs,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent)) ) ).
% 3.69/3.82
% 3.69/3.82 cnf(cls_analz__insert__freshK_1,axiom,
% 3.69/3.82 ( 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)
% 3.69/3.82 | ~ c_in(V_evs,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))
% 3.69/3.82 | 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) ) ).
% 3.69/3.82
% 3.69/3.82 cnf(cls_ns__shared_OFake_0,axiom,
% 3.69/3.82 ( 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))
% 3.69/3.82 | ~ c_in(V_X,c_Message_Osynth(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,V_evsf))),tc_Message_Omsg)
% 3.69/3.82 | ~ c_in(V_evsf,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent)) ) ).
% 3.69/3.82
% 3.69/3.82 cnf(cls_Spy__not__see__encrypted__key_0,axiom,
% 3.69/3.82 ( ~ c_in(hAPP(c_Message_Omsg_OKey,V_K),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,V_evs)),tc_Message_Omsg)
% 3.69/3.82 | ~ c_in(V_evs,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))
% 3.69/3.82 | c_in(V_B,c_Event_Obad,tc_Message_Oagent)
% 3.69/3.82 | c_in(V_A,c_Event_Obad,tc_Message_Oagent)
% 3.69/3.82 | 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)
% 3.69/3.82 | ~ 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) ) ).
% 3.69/3.82
% 3.69/3.82 cnf(cls_knows__Spy__Notes_1,axiom,
% 3.69/3.82 ( 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)
% 3.69/3.82 | c_in(V_A,c_Event_Obad,tc_Message_Oagent) ) ).
% 3.69/3.82
% 3.69/3.82 cnf(cls_ns__shared_ONil_0,axiom,
% 3.69/3.82 c_in(c_List_Olist_ONil(tc_Event_Oevent),c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent)) ).
% 3.69/3.82
% 3.69/3.82 cnf(cls_secrecy__lemma_0,axiom,
% 3.69/3.82 ( ~ c_in(hAPP(c_Message_Omsg_OKey,V_K),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,V_evs)),tc_Message_Omsg)
% 3.69/3.82 | 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)
% 3.69/3.82 | ~ c_in(V_evs,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))
% 3.69/3.82 | c_in(V_B,c_Event_Obad,tc_Message_Oagent)
% 3.69/3.82 | c_in(V_A,c_Event_Obad,tc_Message_Oagent)
% 3.69/3.82 | ~ 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) ) ).
% 3.69/3.82
% 3.69/3.82 cnf(cls_Server__not__bad_0,axiom,
% 3.69/3.82 ~ c_in(c_Message_Oagent_OServer,c_Event_Obad,tc_Message_Oagent) ).
% 3.69/3.82
% 3.69/3.82 cnf(cls_B__trusts__NS5_0,axiom,
% 3.69/3.82 ( 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)
% 3.69/3.82 | ~ c_in(V_evs,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))
% 3.69/3.82 | c_in(V_B,c_Event_Obad,tc_Message_Oagent)
% 3.69/3.82 | c_in(V_A,c_Event_Obad,tc_Message_Oagent)
% 3.69/3.82 | 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)
% 3.69/3.82 | ~ 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)
% 3.69/3.82 | ~ 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) ) ).
% 3.69/3.82
% 3.69/3.82 cnf(cls_NS4__implies__NS3_0,axiom,
% 3.69/3.82 ( 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)
% 3.69/3.82 | ~ 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)
% 3.69/3.82 | ~ 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)
% 3.69/3.82 | c_in(hAPP(c_Message_Omsg_OKey,V_K),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,V_evs)),tc_Message_Omsg)
% 3.69/3.82 | ~ c_in(V_evs,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent)) ) ).
% 3.69/3.82
% 3.69/3.82 cnf(cls_B__trusts__NS3_0,axiom,
% 3.69/3.82 ( 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)
% 3.69/3.82 | ~ c_in(V_evs,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))
% 3.69/3.82 | c_in(V_B,c_Event_Obad,tc_Message_Oagent)
% 3.69/3.82 | ~ 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) ) ).
% 3.69/3.82
% 3.69/3.82 cnf(cls_A__trusts__NS4_0,axiom,
% 3.69/3.82 ( 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)
% 3.69/3.82 | ~ c_in(V_evs,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))
% 3.69/3.82 | c_in(V_B,c_Event_Obad,tc_Message_Oagent)
% 3.69/3.82 | c_in(V_A,c_Event_Obad,tc_Message_Oagent)
% 3.69/3.82 | 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)
% 3.69/3.82 | ~ 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)
% 3.69/3.82 | ~ 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) ) ).
% 3.69/3.82
% 3.69/3.82 cnf(cls_MPair__synth__analz_1,axiom,
% 3.69/3.82 ( c_in(V_Y,c_Message_Osynth(c_Message_Oanalz(V_H)),tc_Message_Omsg)
% 3.69/3.82 | ~ c_in(c_Message_Omsg_OMPair(V_X,V_Y),c_Message_Osynth(c_Message_Oanalz(V_H)),tc_Message_Omsg) ) ).
% 3.69/3.82
% 3.69/3.82 cnf(cls_MPair__synth__analz_0,axiom,
% 3.69/3.82 ( c_in(V_X,c_Message_Osynth(c_Message_Oanalz(V_H)),tc_Message_Omsg)
% 3.69/3.82 | ~ c_in(c_Message_Omsg_OMPair(V_X,V_Y),c_Message_Osynth(c_Message_Oanalz(V_H)),tc_Message_Omsg) ) ).
% 3.69/3.82
% 3.69/3.82 cnf(cls_MPair__synth__analz_2,axiom,
% 3.69/3.82 ( c_in(c_Message_Omsg_OMPair(V_X,V_Y),c_Message_Osynth(c_Message_Oanalz(V_H)),tc_Message_Omsg)
% 3.69/3.82 | ~ c_in(V_Y,c_Message_Osynth(c_Message_Oanalz(V_H)),tc_Message_Omsg)
% 3.69/3.82 | ~ c_in(V_X,c_Message_Osynth(c_Message_Oanalz(V_H)),tc_Message_Omsg) ) ).
% 3.69/3.82
% 3.69/3.82 cnf(cls_Crypt__notin__initState_0,axiom,
% 3.69/3.82 ~ c_in(c_Message_Omsg_OCrypt(V_K,V_X),c_Message_Oparts(c_Event_OinitState(V_B)),tc_Message_Omsg) ).
% 3.69/3.83
% 3.69/3.83 cnf(cls_Crypt__notin__image__Key_0,axiom,
% 3.69/3.83 ~ 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) ).
% 3.69/3.83
% 3.69/3.83 cnf(cls_Crypt__synth__eq_1,axiom,
% 3.69/3.83 ( c_in(c_Message_Omsg_OCrypt(V_K,V_X),c_Message_Osynth(V_H),tc_Message_Omsg)
% 3.69/3.83 | ~ c_in(c_Message_Omsg_OCrypt(V_K,V_X),V_H,tc_Message_Omsg)
% 3.69/3.83 | c_in(hAPP(c_Message_Omsg_OKey,V_K),V_H,tc_Message_Omsg) ) ).
% 3.69/3.83
% 3.69/3.83 cnf(cls_Crypt__synth__eq_0,axiom,
% 3.69/3.83 ( c_in(c_Message_Omsg_OCrypt(V_K,V_X),V_H,tc_Message_Omsg)
% 3.69/3.83 | ~ c_in(c_Message_Omsg_OCrypt(V_K,V_X),c_Message_Osynth(V_H),tc_Message_Omsg)
% 3.69/3.83 | c_in(hAPP(c_Message_Omsg_OKey,V_K),V_H,tc_Message_Omsg) ) ).
% 3.69/3.83
% 3.69/3.83 cnf(cls_Crypt__synth_1,axiom,
% 3.69/3.83 ( c_in(hAPP(c_Message_Omsg_OKey,V_K),V_H,tc_Message_Omsg)
% 3.69/3.83 | c_in(c_Message_Omsg_OCrypt(V_K,V_X),V_H,tc_Message_Omsg)
% 3.69/3.83 | ~ c_in(c_Message_Omsg_OCrypt(V_K,V_X),c_Message_Osynth(V_H),tc_Message_Omsg) ) ).
% 3.69/3.83
% 3.69/3.83 cnf(cls_synth_OCrypt_0,axiom,
% 3.69/3.83 ( c_in(c_Message_Omsg_OCrypt(V_K,V_X),c_Message_Osynth(V_H),tc_Message_Omsg)
% 3.69/3.83 | ~ c_in(hAPP(c_Message_Omsg_OKey,V_K),V_H,tc_Message_Omsg)
% 3.69/3.83 | ~ c_in(V_X,c_Message_Osynth(V_H),tc_Message_Omsg) ) ).
% 3.69/3.83
% 3.69/3.83 cnf(cls_Nonce__notin__initState_0,axiom,
% 3.69/3.83 ~ c_in(c_Message_Omsg_ONonce(V_N),c_Message_Oparts(c_Event_OinitState(V_B)),tc_Message_Omsg) ).
% 3.69/3.83
% 3.69/3.83 cnf(cls_Nonce__Key__image__eq_0,axiom,
% 3.69/3.83 ~ 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) ).
% 3.69/3.83
% 3.69/3.83 cnf(cls_shrK__in__initState_0,axiom,
% 3.69/3.83 c_in(hAPP(c_Message_Omsg_OKey,hAPP(c_Public_OshrK,V_A)),c_Event_OinitState(V_A),tc_Message_Omsg) ).
% 3.69/3.83
% 3.69/3.83 cnf(cls_shrK__in__used_0,axiom,
% 3.69/3.83 c_in(hAPP(c_Message_Omsg_OKey,hAPP(c_Public_OshrK,V_A)),c_Event_Oused(V_evs),tc_Message_Omsg) ).
% 3.69/3.83
% 3.69/3.83 cnf(cls_neq__shrK_0,axiom,
% 3.69/3.83 c_in(hAPP(c_Message_Omsg_OKey,hAPP(c_Public_OshrK,V_B)),c_Event_Oused(V_evs),tc_Message_Omsg) ).
% 3.69/3.83
% 3.69/3.83 cnf(cls_Spy__spies__bad__privateKey_0,axiom,
% 3.69/3.83 ( 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)
% 3.69/3.83 | ~ c_in(V_A,c_Event_Obad,tc_Message_Oagent) ) ).
% 3.69/3.83
% 3.69/3.83 cnf(cls_A__trusts__NS4__lemma_0,axiom,
% 3.69/3.83 ( 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)
% 3.69/3.83 | ~ 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)
% 3.69/3.83 | ~ 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)
% 3.69/3.83 | c_in(hAPP(c_Message_Omsg_OKey,V_K),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,V_evs)),tc_Message_Omsg)
% 3.69/3.83 | ~ c_in(V_evs,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent)) ) ).
% 3.69/3.83
% 3.69/3.83 cnf(cls_A__trusts__NS2_0,axiom,
% 3.69/3.83 ( 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)
% 3.69/3.83 | ~ c_in(V_evs,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))
% 3.69/3.83 | c_in(V_A,c_Event_Obad,tc_Message_Oagent)
% 3.69/3.83 | ~ c_in(c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,V_A),c_Message_Omsg_OMPair(V_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(V_B),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,V_K),V_X)))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,V_evs)),tc_Message_Omsg) ) ).
% 3.69/3.83
% 3.69/3.83 cnf(cls_B__trusts__NS5__lemma_0,axiom,
% 3.69/3.83 ( 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)
% 3.69/3.83 | ~ 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)
% 3.69/3.83 | ~ 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)
% 3.69/3.83 | c_in(hAPP(c_Message_Omsg_OKey,V_K),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,V_evs)),tc_Message_Omsg)
% 3.69/3.83 | ~ c_in(V_evs,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))
% 3.69/3.83 | c_in(V_B,c_Event_Obad,tc_Message_Oagent) ) ).
% 3.69/3.83
% 3.69/3.83 cnf(cls_analz_ODecrypt_0,axiom,
% 3.69/3.83 ( c_in(V_X,c_Message_Oanalz(V_H),tc_Message_Omsg)
% 3.69/3.83 | ~ c_in(hAPP(c_Message_Omsg_OKey,hAPP(c_Message_OinvKey,V_K)),c_Message_Oanalz(V_H),tc_Message_Omsg)
% 3.69/3.83 | ~ c_in(c_Message_Omsg_OCrypt(V_K,V_X),c_Message_Oanalz(V_H),tc_Message_Omsg) ) ).
% 3.69/3.83
% 3.69/3.83 cnf(cls_usedI_0,axiom,
% 3.69/3.83 ( c_in(V_c,c_Event_Oused(V_evs),tc_Message_Omsg)
% 3.69/3.83 | ~ c_in(V_c,c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,V_evs)),tc_Message_Omsg) ) ).
% 3.69/3.83
% 3.69/3.83 cnf(cls_spies__pubK_0,axiom,
% 3.69/3.83 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) ).
% 3.69/3.83
% 3.69/3.83 cnf(cls_Says__S__message__form_1,axiom,
% 3.69/3.83 ( c_in(V_X,c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,V_evs)),tc_Message_Omsg)
% 3.69/3.83 | 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)))
% 3.69/3.83 | ~ c_in(V_evs,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))
% 3.69/3.83 | ~ 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) ) ).
% 3.69/3.83
% 3.69/3.83 cnf(cls_B__Issues__A_0,axiom,
% 3.69/3.83 ( c_NS__Shared__Mirabelle_OIssues(V_B,V_A,c_Message_Omsg_OCrypt(V_K,c_Message_Omsg_ONonce(V_Nb)),V_evs)
% 3.69/3.83 | ~ c_in(V_evs,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))
% 3.69/3.83 | c_in(V_B,c_Event_Obad,tc_Message_Oagent)
% 3.69/3.83 | c_in(V_A,c_Event_Obad,tc_Message_Oagent)
% 3.69/3.83 | c_in(hAPP(c_Message_Omsg_OKey,V_K),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,V_evs)),tc_Message_Omsg)
% 3.69/3.83 | ~ 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) ) ).
% 3.69/3.83
% 3.69/3.83 cnf(cls_cert__A__form_0,axiom,
% 3.69/3.83 ( ~ c_in(V_K,c_Set_Oimage(c_Public_OshrK,c_Orderings_Otop__class_Otop(tc_fun(tc_Message_Oagent,tc_bool)),tc_Message_Oagent,tc_nat),tc_nat)
% 3.69/3.83 | ~ c_in(V_evs,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))
% 3.69/3.83 | c_in(V_A,c_Event_Obad,tc_Message_Oagent)
% 3.69/3.83 | ~ c_in(c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,V_A),c_Message_Omsg_OMPair(V_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(V_B),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,V_K),V_X)))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,V_evs)),tc_Message_Omsg) ) ).
% 3.69/3.83
% 3.69/3.83 cnf(cls_analz__spies__pubK_0,axiom,
% 3.69/3.83 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) ).
% 3.69/3.83
% 3.69/3.83 cnf(cls_msg_Osimps_I1_J_0,axiom,
% 3.69/3.83 ( c_Message_Omsg_OAgent(V_agent) != c_Message_Omsg_OAgent(V_agent_H)
% 3.69/3.83 | V_agent = V_agent_H ) ).
% 3.69/3.83
% 3.69/3.83 cnf(cls_parts__analz_0,axiom,
% 3.69/3.83 c_Message_Oparts(c_Message_Oanalz(V_H)) = c_Message_Oparts(V_H) ).
% 3.69/3.83
% 3.69/3.83 cnf(cls_analz__idem_0,axiom,
% 3.69/3.83 c_Message_Oanalz(c_Message_Oanalz(V_H)) = c_Message_Oanalz(V_H) ).
% 3.69/3.83
% 3.69/3.83 cnf(cls_analz_OSnd_0,axiom,
% 3.69/3.83 ( c_in(V_Y,c_Message_Oanalz(V_H),tc_Message_Omsg)
% 3.69/3.83 | ~ c_in(c_Message_Omsg_OMPair(V_X,V_Y),c_Message_Oanalz(V_H),tc_Message_Omsg) ) ).
% 3.69/3.83
% 3.69/3.83 cnf(cls_analz_OFst_0,axiom,
% 3.69/3.83 ( c_in(V_X,c_Message_Oanalz(V_H),tc_Message_Omsg)
% 3.69/3.83 | ~ c_in(c_Message_Omsg_OMPair(V_X,V_Y),c_Message_Oanalz(V_H),tc_Message_Omsg) ) ).
% 3.69/3.83
% 3.69/3.83 cnf(cls_parts_OSnd_0,axiom,
% 3.69/3.83 ( c_in(V_Y,c_Message_Oparts(V_H),tc_Message_Omsg)
% 3.69/3.83 | ~ c_in(c_Message_Omsg_OMPair(V_X,V_Y),c_Message_Oparts(V_H),tc_Message_Omsg) ) ).
% 3.69/3.83
% 3.69/3.83 cnf(cls_parts_OFst_0,axiom,
% 3.69/3.83 ( c_in(V_X,c_Message_Oparts(V_H),tc_Message_Omsg)
% 3.69/3.83 | ~ c_in(c_Message_Omsg_OMPair(V_X,V_Y),c_Message_Oparts(V_H),tc_Message_Omsg) ) ).
% 3.69/3.83
% 3.69/3.83 cnf(cls_msg_Osimps_I37_J_0,axiom,
% 3.69/3.83 c_Message_Omsg_OCrypt(V_nat_H,V_msg_H) != c_Message_Omsg_ONonce(V_nat) ).
% 3.69/3.83
% 3.69/3.83 cnf(cls_msg_Osimps_I12_J_0,axiom,
% 3.69/3.83 c_Message_Omsg_OAgent(V_agent) != hAPP(c_Message_Omsg_OKey,V_nat_H) ).
% 3.69/3.83
% 3.69/3.83 cnf(cls_msg_Osimps_I31_J_0,axiom,
% 3.69/3.83 hAPP(c_Message_Omsg_OKey,V_nat_H) != c_Message_Omsg_ONonce(V_nat) ).
% 3.69/3.83
% 3.69/3.83 cnf(cls_parts_OInj_0,axiom,
% 3.69/3.83 ( c_in(V_X,c_Message_Oparts(V_H),tc_Message_Omsg)
% 3.69/3.83 | ~ c_in(V_X,V_H,tc_Message_Omsg) ) ).
% 3.69/3.83
% 3.69/3.83 cnf(cls_analz_OInj_0,axiom,
% 3.69/3.83 ( c_in(V_X,c_Message_Oanalz(V_H),tc_Message_Omsg)
% 3.69/3.83 | ~ c_in(V_X,V_H,tc_Message_Omsg) ) ).
% 3.69/3.83
% 3.69/3.83 cnf(cls_Spy__in__bad_0,axiom,
% 3.69/3.83 c_in(c_Message_Oagent_OSpy,c_Event_Obad,tc_Message_Oagent) ).
% 3.69/3.83
% 3.69/3.83 cnf(cls_msg_Osimps_I43_J_0,axiom,
% 3.69/3.83 c_Message_Omsg_OCrypt(V_nat_H,V_msg_H) != hAPP(c_Message_Omsg_OKey,V_nat) ).
% 3.69/3.83
% 3.69/3.83 cnf(cls_parts__idem_0,axiom,
% 3.69/3.83 c_Message_Oparts(c_Message_Oparts(V_H)) = c_Message_Oparts(V_H) ).
% 3.69/3.83
% 3.69/3.83 cnf(cls_msg_Osimps_I30_J_0,axiom,
% 3.69/3.83 c_Message_Omsg_ONonce(V_nat) != hAPP(c_Message_Omsg_OKey,V_nat_H) ).
% 3.69/3.83
% 3.69/3.83 cnf(cls_analz__parts_0,axiom,
% 3.69/3.83 c_Message_Oanalz(c_Message_Oparts(V_H)) = c_Message_Oparts(V_H) ).
% 3.69/3.83
% 3.69/3.83 cnf(cls_msg_Osimps_I17_J_0,axiom,
% 3.69/3.83 c_Message_Omsg_OMPair(V_msg1_H,V_msg2_H) != c_Message_Omsg_OAgent(V_agent) ).
% 3.69/3.83
% 3.69/3.83 cnf(cls_msg_Osimps_I11_J_0,axiom,
% 3.69/3.83 c_Message_Omsg_ONonce(V_nat_H) != c_Message_Omsg_OAgent(V_agent) ).
% 3.69/3.83
% 3.69/3.83 cnf(cls_parts_OBody_0,axiom,
% 3.69/3.83 ( c_in(V_X,c_Message_Oparts(V_H),tc_Message_Omsg)
% 3.69/3.83 | ~ c_in(c_Message_Omsg_OCrypt(V_K,V_X),c_Message_Oparts(V_H),tc_Message_Omsg) ) ).
% 3.69/3.83
% 3.69/3.83 cnf(cls_analz__shrK__Decrypt_0,axiom,
% 3.69/3.83 ( c_in(V_X,c_Message_Oanalz(V_H),tc_Message_Omsg)
% 3.69/3.83 | ~ c_in(hAPP(c_Message_Omsg_OKey,hAPP(c_Public_OshrK,V_A)),c_Message_Oanalz(V_H),tc_Message_Omsg)
% 3.69/3.83 | ~ c_in(c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,V_A),V_X),c_Message_Oanalz(V_H),tc_Message_Omsg) ) ).
% 3.69/3.83
% 3.69/3.83 cnf(cls_Spy__see__shrK_1,axiom,
% 3.69/3.83 ( 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)
% 3.69/3.83 | ~ c_in(V_A,c_Event_Obad,tc_Message_Oagent)
% 3.69/3.83 | ~ c_in(V_evs,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent)) ) ).
% 3.69/3.83
% 3.69/3.83 cnf(cls_Spy__see__shrK_0,axiom,
% 3.69/3.83 ( c_in(V_A,c_Event_Obad,tc_Message_Oagent)
% 3.69/3.83 | ~ 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)
% 3.69/3.83 | ~ c_in(V_evs,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent)) ) ).
% 3.69/3.83
% 3.69/3.83 cnf(cls_parts__partsD_0,axiom,
% 3.69/3.83 ( c_in(V_X,c_Message_Oparts(V_H),tc_Message_Omsg)
% 3.69/3.83 | ~ c_in(V_X,c_Message_Oparts(c_Message_Oparts(V_H)),tc_Message_Omsg) ) ).
% 3.69/3.83
% 3.69/3.83 cnf(cls_cert__A__form_1,axiom,
% 3.69/3.83 ( 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)))
% 3.69/3.83 | ~ c_in(V_evs,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))
% 3.69/3.83 | c_in(V_A,c_Event_Obad,tc_Message_Oagent)
% 3.69/3.83 | ~ c_in(c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,V_A),c_Message_Omsg_OMPair(V_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(V_B),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,V_K),V_X)))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,V_evs)),tc_Message_Omsg) ) ).
% 3.69/3.83
% 3.69/3.83 cnf(cls_msg_Osimps_I4_J_0,axiom,
% 3.69/3.83 ( hAPP(c_Message_Omsg_OKey,V_nat) != hAPP(c_Message_Omsg_OKey,V_nat_H)
% 3.69/3.83 | V_nat = V_nat_H ) ).
% 3.69/3.83
% 3.69/3.83 cnf(cls_msg_Osimps_I16_J_0,axiom,
% 3.69/3.83 c_Message_Omsg_OAgent(V_agent) != c_Message_Omsg_OMPair(V_msg1_H,V_msg2_H) ).
% 3.69/3.83
% 3.69/3.83 cnf(cls_Spy__spies__bad__shrK_0,axiom,
% 3.69/3.83 ( 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)
% 3.69/3.83 | ~ c_in(V_A,c_Event_Obad,tc_Message_Oagent) ) ).
% 3.69/3.83
% 3.69/3.83 cnf(cls_msg_Osimps_I18_J_0,axiom,
% 3.69/3.83 c_Message_Omsg_OAgent(V_agent) != c_Message_Omsg_OCrypt(V_nat_H,V_msg_H) ).
% 3.69/3.83
% 3.69/3.83 cnf(cls_msg_Osimps_I34_J_0,axiom,
% 3.69/3.83 c_Message_Omsg_ONonce(V_nat) != c_Message_Omsg_OMPair(V_msg1_H,V_msg2_H) ).
% 3.69/3.83
% 3.69/3.83 cnf(cls_msg_Osimps_I48_J_0,axiom,
% 3.69/3.83 c_Message_Omsg_OMPair(V_msg1,V_msg2) != c_Message_Omsg_OCrypt(V_nat_H,V_msg_H) ).
% 3.69/3.83
% 3.69/3.83 cnf(cls_msg_Osimps_I19_J_0,axiom,
% 3.69/3.83 c_Message_Omsg_OCrypt(V_nat_H,V_msg_H) != c_Message_Omsg_OAgent(V_agent) ).
% 3.69/3.83
% 3.69/3.83 cnf(cls_shrK__in__knows_0,axiom,
% 3.69/3.83 c_in(hAPP(c_Message_Omsg_OKey,hAPP(c_Public_OshrK,V_A)),c_Event_Oknows(V_A,V_evs),tc_Message_Omsg) ).
% 3.69/3.83
% 3.69/3.83 cnf(cls_msg_Osimps_I13_J_0,axiom,
% 3.69/3.83 hAPP(c_Message_Omsg_OKey,V_nat_H) != c_Message_Omsg_OAgent(V_agent) ).
% 3.69/3.83
% 3.69/3.83 cnf(cls_Spy__analz__shrK_0,axiom,
% 3.69/3.83 ( c_in(V_A,c_Event_Obad,tc_Message_Oagent)
% 3.69/3.83 | ~ 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)
% 3.69/3.83 | ~ c_in(V_evs,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent)) ) ).
% 3.69/3.83
% 3.69/3.83 cnf(cls_Spy__analz__shrK_1,axiom,
% 3.69/3.83 ( 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)
% 3.69/3.83 | ~ c_in(V_A,c_Event_Obad,tc_Message_Oagent)
% 3.69/3.83 | ~ c_in(V_evs,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent)) ) ).
% 3.69/3.83
% 3.69/3.83 cnf(cls_analz__analzD_0,axiom,
% 3.69/3.83 ( c_in(V_X,c_Message_Oanalz(V_H),tc_Message_Omsg)
% 3.69/3.83 | ~ c_in(V_X,c_Message_Oanalz(c_Message_Oanalz(V_H)),tc_Message_Omsg) ) ).
% 3.69/3.83
% 3.69/3.83 cnf(cls_msg_Osimps_I3_J_0,axiom,
% 3.69/3.83 ( c_Message_Omsg_ONonce(V_nat) != c_Message_Omsg_ONonce(V_nat_H)
% 3.69/3.83 | V_nat = V_nat_H ) ).
% 3.69/3.83
% 3.69/3.83 cnf(cls_mem__def_1,axiom,
% 3.69/3.83 ( c_in(V_x,V_S,T_a)
% 3.69/3.83 | ~ hBOOL(hAPP(V_S,V_x)) ) ).
% 3.69/3.83
% 3.69/3.83 cnf(cls_mem__def_0,axiom,
% 3.69/3.83 ( hBOOL(hAPP(V_S,V_x))
% 3.69/3.83 | ~ c_in(V_x,V_S,T_a) ) ).
% 3.69/3.83
% 3.69/3.83 cnf(cls_msg_Osimps_I36_J_0,axiom,
% 3.69/3.83 c_Message_Omsg_ONonce(V_nat) != c_Message_Omsg_OCrypt(V_nat_H,V_msg_H) ).
% 3.69/3.83
% 3.69/3.83 cnf(cls_msg_Osimps_I7_J_0,axiom,
% 3.69/3.83 ( c_Message_Omsg_OCrypt(V_nat,V_msg) != c_Message_Omsg_OCrypt(V_nat_H,V_msg_H)
% 3.69/3.83 | V_nat = V_nat_H ) ).
% 3.69/3.83
% 3.69/3.83 cnf(cls_msg_Osimps_I7_J_1,axiom,
% 3.69/3.83 ( c_Message_Omsg_OCrypt(V_nat,V_msg) != c_Message_Omsg_OCrypt(V_nat_H,V_msg_H)
% 3.69/3.83 | V_msg = V_msg_H ) ).
% 3.69/3.83
% 3.69/3.83 cnf(cls_msg_Osimps_I10_J_0,axiom,
% 3.69/3.83 c_Message_Omsg_OAgent(V_agent) != c_Message_Omsg_ONonce(V_nat_H) ).
% 3.69/3.83
% 3.69/3.83 cnf(cls_msg_Osimps_I6_J_0,axiom,
% 3.69/3.83 ( c_Message_Omsg_OMPair(V_msg1,V_msg2) != c_Message_Omsg_OMPair(V_msg1_H,V_msg2_H)
% 3.69/3.83 | V_msg1 = V_msg1_H ) ).
% 3.69/3.83
% 3.69/3.83 cnf(cls_msg_Osimps_I6_J_1,axiom,
% 3.69/3.83 ( c_Message_Omsg_OMPair(V_msg1,V_msg2) != c_Message_Omsg_OMPair(V_msg1_H,V_msg2_H)
% 3.69/3.83 | V_msg2 = V_msg2_H ) ).
% 3.69/3.83
% 3.69/3.83 cnf(cls_Crypt__Spy__analz__bad_0,axiom,
% 3.69/3.83 ( c_in(V_X,c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,V_evs)),tc_Message_Omsg)
% 3.69/3.83 | ~ c_in(V_A,c_Event_Obad,tc_Message_Oagent)
% 3.69/3.83 | ~ 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) ) ).
% 3.69/3.83
% 3.69/3.83 cnf(cls_msg_Osimps_I35_J_0,axiom,
% 3.69/3.83 c_Message_Omsg_OMPair(V_msg1_H,V_msg2_H) != c_Message_Omsg_ONonce(V_nat) ).
% 3.69/3.83
% 3.69/3.83 cnf(cls_msg_Osimps_I49_J_0,axiom,
% 3.69/3.83 c_Message_Omsg_OCrypt(V_nat_H,V_msg_H) != c_Message_Omsg_OMPair(V_msg1,V_msg2) ).
% 3.69/3.83
% 3.69/3.83 cnf(cls_msg_Osimps_I40_J_0,axiom,
% 3.69/3.83 hAPP(c_Message_Omsg_OKey,V_nat) != c_Message_Omsg_OMPair(V_msg1_H,V_msg2_H) ).
% 3.69/3.83
% 3.69/3.83 cnf(cls_msg_Osimps_I41_J_0,axiom,
% 3.69/3.83 c_Message_Omsg_OMPair(V_msg1_H,V_msg2_H) != hAPP(c_Message_Omsg_OKey,V_nat) ).
% 3.69/3.83
% 3.69/3.83 cnf(cls_msg_Osimps_I42_J_0,axiom,
% 3.69/3.83 hAPP(c_Message_Omsg_OKey,V_nat) != c_Message_Omsg_OCrypt(V_nat_H,V_msg_H) ).
% 3.69/3.83
% 3.69/3.83 cnf(cls_shrK__injective_0,axiom,
% 3.69/3.83 ( hAPP(c_Public_OshrK,V_x) != hAPP(c_Public_OshrK,V_y)
% 3.69/3.83 | V_x = V_y ) ).
% 3.69/3.83
% 3.69/3.83 cnf(cls_not__parts__not__analz_0,axiom,
% 3.69/3.83 ( ~ c_in(V_c,c_Message_Oanalz(V_H),tc_Message_Omsg)
% 3.69/3.83 | c_in(V_c,c_Message_Oparts(V_H),tc_Message_Omsg) ) ).
% 3.69/3.83
% 3.69/3.83 cnf(cls_analz__into__parts_0,axiom,
% 3.69/3.83 ( c_in(V_c,c_Message_Oparts(V_H),tc_Message_Omsg)
% 3.69/3.83 | ~ c_in(V_c,c_Message_Oanalz(V_H),tc_Message_Omsg) ) ).
% 3.69/3.83
% 3.69/3.83 cnf(cls_analz__conj__parts_0,axiom,
% 3.69/3.83 ( c_in(V_X,c_Message_Oparts(V_H),tc_Message_Omsg)
% 3.69/3.83 | ~ c_in(V_X,c_Message_Oanalz(V_H),tc_Message_Omsg) ) ).
% 3.69/3.83
% 3.69/3.83 cnf(cls_conjecture_0,negated_conjecture,
% 3.69/3.83 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) ).
% 3.69/3.83
% 3.69/3.83 cnf(cls_conjecture_1,negated_conjecture,
% 3.69/3.83 c_in(c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,v_A),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_B),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,v_K),v_X)))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs)),tc_Message_Omsg) ).
% 3.69/3.83
% 3.69/3.83 cnf(cls_conjecture_2,negated_conjecture,
% 3.69/3.83 ~ c_in(hAPP(c_Message_Omsg_OKey,v_K),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs)),tc_Message_Omsg) ).
% 3.69/3.83
% 3.69/3.83 cnf(cls_conjecture_3,negated_conjecture,
% 3.69/3.83 ~ c_in(v_A,c_Event_Obad,tc_Message_Oagent) ).
% 3.69/3.83
% 3.69/3.83 cnf(cls_conjecture_4,negated_conjecture,
% 3.69/3.83 ~ c_in(v_B,c_Event_Obad,tc_Message_Oagent) ).
% 3.69/3.83
% 3.69/3.83 cnf(cls_conjecture_5,negated_conjecture,
% 3.69/3.83 c_in(v_evs,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent)) ).
% 3.69/3.83
% 3.69/3.83 cnf(cls_conjecture_6,negated_conjecture,
% 3.69/3.83 ~ c_NS__Shared__Mirabelle_OIssues(v_B,v_A,c_Message_Omsg_OCrypt(v_K,c_Message_Omsg_ONonce(v_NB)),v_evs) ).
% 3.69/3.83
% 3.69/3.83 cnf(clsarity_fun__Lattices_Oupper__semilattice,axiom,
% 3.69/3.83 ( class_Lattices_Oupper__semilattice(tc_fun(T_2,T_1))
% 3.69/3.83 | ~ class_Lattices_Olattice(T_1) ) ).
% 3.69/3.83
% 3.69/3.83 cnf(clsarity_fun__Lattices_Obounded__lattice,axiom,
% 3.69/3.83 ( class_Lattices_Obounded__lattice(tc_fun(T_2,T_1))
% 3.69/3.83 | ~ class_Lattices_Obounded__lattice(T_1) ) ).
% 3.69/3.83
% 3.69/3.83 cnf(clsarity_fun__Lattices_Oboolean__algebra,axiom,
% 3.69/3.83 ( class_Lattices_Oboolean__algebra(tc_fun(T_2,T_1))
% 3.69/3.83 | ~ class_Lattices_Oboolean__algebra(T_1) ) ).
% 3.69/3.83
% 3.69/3.83 cnf(clsarity_fun__Orderings_Opreorder,axiom,
% 3.69/3.83 ( class_Orderings_Opreorder(tc_fun(T_2,T_1))
% 3.69/3.83 | ~ class_Orderings_Opreorder(T_1) ) ).
% 3.69/3.83
% 3.69/3.83 cnf(clsarity_fun__Lattices_Olattice,axiom,
% 3.69/3.83 ( class_Lattices_Olattice(tc_fun(T_2,T_1))
% 3.69/3.83 | ~ class_Lattices_Olattice(T_1) ) ).
% 3.69/3.83
% 3.69/3.83 cnf(clsarity_fun__Orderings_Oorder,axiom,
% 3.69/3.83 ( class_Orderings_Oorder(tc_fun(T_2,T_1))
% 3.69/3.83 | ~ class_Orderings_Oorder(T_1) ) ).
% 3.69/3.83
% 3.69/3.83 cnf(clsarity_fun__Orderings_Otop,axiom,
% 3.69/3.83 ( class_Orderings_Otop(tc_fun(T_2,T_1))
% 3.69/3.83 | ~ class_Orderings_Otop(T_1) ) ).
% 3.69/3.83
% 3.69/3.83 cnf(clsarity_fun__HOL_Oord,axiom,
% 3.69/3.83 ( class_HOL_Oord(tc_fun(T_2,T_1))
% 3.69/3.83 | ~ class_HOL_Oord(T_1) ) ).
% 3.69/3.83
% 3.69/3.83 cnf(clsarity_nat__Lattices_Oupper__semilattice,axiom,
% 3.69/3.83 class_Lattices_Oupper__semilattice(tc_nat) ).
% 3.69/3.83
% 3.69/3.83 cnf(clsarity_nat__Orderings_Opreorder,axiom,
% 3.69/3.83 class_Orderings_Opreorder(tc_nat) ).
% 3.69/3.83
% 3.69/3.83 cnf(clsarity_nat__Orderings_Olinorder,axiom,
% 3.69/3.83 class_Orderings_Olinorder(tc_nat) ).
% 3.69/3.83
% 3.69/3.83 cnf(clsarity_nat__Lattices_Olattice,axiom,
% 3.69/3.83 class_Lattices_Olattice(tc_nat) ).
% 3.69/3.83
% 3.69/3.83 cnf(clsarity_nat__Orderings_Oorder,axiom,
% 3.69/3.83 class_Orderings_Oorder(tc_nat) ).
% 3.69/3.83
% 3.69/3.83 cnf(clsarity_nat__HOL_Oord,axiom,
% 3.69/3.83 class_HOL_Oord(tc_nat) ).
% 3.69/3.83
% 3.69/3.83 cnf(clsarity_bool__Lattices_Oupper__semilattice,axiom,
% 3.69/3.83 class_Lattices_Oupper__semilattice(tc_bool) ).
% 3.69/3.83
% 3.69/3.83 cnf(clsarity_bool__Lattices_Obounded__lattice,axiom,
% 3.69/3.83 class_Lattices_Obounded__lattice(tc_bool) ).
% 3.69/3.83
% 3.69/3.83 cnf(clsarity_bool__Lattices_Oboolean__algebra,axiom,
% 3.69/3.83 class_Lattices_Oboolean__algebra(tc_bool) ).
% 3.69/3.83
% 3.69/3.83 cnf(clsarity_bool__Orderings_Opreorder,axiom,
% 3.69/3.83 class_Orderings_Opreorder(tc_bool) ).
% 3.69/3.83
% 3.69/3.83 cnf(clsarity_bool__Lattices_Olattice,axiom,
% 3.69/3.83 class_Lattices_Olattice(tc_bool) ).
% 3.69/3.83
% 3.69/3.83 cnf(clsarity_bool__Orderings_Oorder,axiom,
% 3.69/3.83 class_Orderings_Oorder(tc_bool) ).
% 3.69/3.83
% 3.69/3.83 cnf(clsarity_bool__Orderings_Otop,axiom,
% 3.69/3.83 class_Orderings_Otop(tc_bool) ).
% 3.69/3.83
% 3.69/3.83 cnf(clsarity_bool__HOL_Oord,axiom,
% 3.69/3.83 class_HOL_Oord(tc_bool) ).
% 3.69/3.83
% 3.69/3.83 cnf(cls_ATP__Linkup_Oequal__imp__fequal_0,axiom,
% 3.69/3.83 c_fequal(V_x,V_x,T_a) ).
% 3.69/3.83
% 3.69/3.83 cnf(cls_ATP__Linkup_Ofequal__imp__equal_0,axiom,
% 3.69/3.83 ( V_X = V_Y
% 3.69/3.83 | ~ c_fequal(V_X,V_Y,T_a) ) ).
% 3.69/3.83
% 3.69/3.83 %------------------------------------------------------------------------------
% 3.69/3.83 %-------------------------------------------
% 3.69/3.83 % Proof found
% 3.69/3.83 % SZS status Theorem for theBenchmark
% 3.69/3.83 % SZS output start Proof
% 3.69/3.83 %ClaNum:683(EqnAxiom:111)
% 3.69/3.83 %VarNum:2862(SingletonVarNum:1410)
% 3.69/3.83 %MaxLitNum:7
% 3.69/3.83 %MaxfuncDepth:9
% 3.69/3.83 %SharedTerms:68
% 3.69/3.83 %goalClause: 143 172 271 316 317 334 338
% 3.69/3.83 %singleGoalClaCount:7
% 3.69/3.83 [112]P1(a1)
% 3.69/3.83 [113]P2(a1)
% 3.69/3.83 [114]P9(a1)
% 3.69/3.83 [115]P9(a43)
% 3.69/3.83 [116]P10(a1)
% 3.69/3.83 [117]P10(a43)
% 3.69/3.83 [118]P11(a1)
% 3.69/3.83 [119]P11(a43)
% 3.69/3.83 [120]P3(a1)
% 3.69/3.83 [121]P3(a43)
% 3.69/3.83 [122]P15(a1)
% 3.69/3.83 [123]P16(a1)
% 3.69/3.83 [124]P16(a43)
% 3.69/3.83 [125]P12(a43)
% 3.69/3.83 [140]P6(a21,a5,a40)
% 3.69/3.83 [280]~E(a23,a21)
% 3.69/3.83 [315]~P6(a23,a5,a40)
% 3.69/3.83 [316]~P6(a47,a5,a40)
% 3.69/3.83 [317]~P6(a48,a5,a40)
% 3.69/3.83 [126]P4(f3(a2))
% 3.69/3.83 [143]P6(a45,a35,f41(a2))
% 3.69/3.83 [144]P6(f3(a2),a35,f41(a2))
% 3.69/3.83 [172]P6(f28(a46,f29(a49)),f18(f4(a21,a45)),a42)
% 3.69/3.83 [334]~P6(f33(a30,a46),f19(f4(a21,a45)),a42)
% 3.69/3.83 [338]~P5(a48,a47,f28(a46,f29(a49)),a45)
% 3.69/3.83 [271]P6(f28(f33(a34,a47),f31(a50,f31(f25(a48),f31(f33(a30,a46),a51)))),f18(f4(a21,a45)),a42)
% 3.69/3.83 [154]P6(f33(a34,x1541),a32,a43)
% 3.69/3.83 [158]P8(x1581,f17(x1581),f44(a42,a1))
% 3.69/3.83 [159]P8(x1591,f18(x1591),f44(a42,a1))
% 3.69/3.83 [160]P8(x1601,f19(x1601),f44(a42,a1))
% 3.69/3.83 [161]P8(f19(x1611),f18(x1611),f44(a42,a1))
% 3.69/3.83 [127]E(f17(f17(x1271)),f17(x1271))
% 3.69/3.83 [128]E(f18(f18(x1281)),f18(x1281))
% 3.69/3.83 [129]E(f18(f19(x1291)),f18(x1291))
% 3.69/3.83 [130]E(f19(f18(x1301)),f18(x1301))
% 3.69/3.83 [131]E(f19(f19(x1311)),f19(x1311))
% 3.69/3.83 [133]E(f20(f3(x1331),x1331),f3(x1331))
% 3.69/3.83 [134]E(f33(a24,f33(a24,x1341)),x1341)
% 3.69/3.83 [138]E(f4(a21,f20(x1381,a2)),f4(a21,x1381))
% 3.69/3.83 [139]E(f33(a24,f33(a34,x1391)),f33(a34,x1391))
% 3.69/3.83 [162]P8(f11(f3(a2)),f11(x1621),f44(a42,a1))
% 3.69/3.83 [163]E(f10(f18(x1631),f17(x1631),f44(a42,a1)),f18(f17(x1631)))
% 3.69/3.83 [164]E(f10(f19(x1641),f17(x1641),f44(a42,a1)),f19(f17(x1641)))
% 3.69/3.83 [174]P8(f18(f4(a21,x1741)),f11(x1741),f44(a42,a1))
% 3.69/3.83 [266]E(f18(f39(a30,x2661,a43,a42)),f39(a30,x2661,a43,a42))
% 3.69/3.83 [267]E(f19(f39(a30,x2671,a43,a42)),f39(a30,x2671,a43,a42))
% 3.69/3.83 [331]~P6(f29(x3311),f11(f3(a2)),a42)
% 3.69/3.83 [216]P8(f18(f4(a21,f20(x2161,a2))),f18(f4(a21,x2161)),f44(a42,a1))
% 3.69/3.83 [142]P7(x1421,x1421,x1422)
% 3.69/3.83 [151]P6(f25(x1511),f17(x1512),a42)
% 3.69/3.83 [156]P8(x1561,x1561,f44(x1562,a1))
% 3.69/3.83 [282]~E(f25(x2821),f27(x2822))
% 3.69/3.83 [285]~E(f29(x2851),f27(x2852))
% 3.69/3.83 [286]~E(f29(x2861),f25(x2862))
% 3.69/3.83 [287]~E(f27(x2871),f33(a30,x2872))
% 3.69/3.83 [288]~E(f25(x2881),f33(a30,x2882))
% 3.69/3.83 [289]~E(f29(x2891),f33(a30,x2892))
% 3.69/3.83 [290]~E(f33(a30,x2901),f27(x2902))
% 3.69/3.83 [291]~E(f33(a30,x2911),f25(x2912))
% 3.69/3.83 [292]~E(f33(a30,x2921),f29(x2922))
% 3.69/3.83 [339]~P6(f27(x3391),f39(a30,x3392,a43,a42),a42)
% 3.69/3.83 [340]~P6(f29(x3401),f39(a30,x3402,a43,a42),a42)
% 3.69/3.83 [137]E(f20(f20(x1371,x1372),x1372),x1371)
% 3.69/3.83 [141]E(f22(f20(x1411,x1412),x1412),f22(x1411,x1412))
% 3.69/3.83 [148]E(f9(x1481,f3(x1482),x1482),x1481)
% 3.69/3.83 [149]E(f9(f3(x1491),x1492,x1491),x1492)
% 3.69/3.83 [157]E(f10(x1571,x1571,f44(x1572,a1)),x1571)
% 3.69/3.83 [165]P6(x1651,f36(f44(x1652,a1)),x1652)
% 3.69/3.83 [166]E(f15(f15(x1661,f44(x1662,a1)),f44(x1662,a1)),x1661)
% 3.69/3.83 [171]P6(f33(a30,f33(a34,x1711)),f11(x1712),a42)
% 3.69/3.83 [173]P8(x1731,f36(f44(x1732,a1)),f44(x1732,a1))
% 3.69/3.83 [175]P8(f4(x1751,f3(a2)),f4(x1751,x1752),f44(a42,a1))
% 3.69/3.83 [177]P6(f33(a30,f33(a34,x1771)),f4(x1771,x1772),a42)
% 3.69/3.83 [180]E(f10(x1801,f36(f44(x1802,a1)),f44(x1802,a1)),f36(f44(x1802,a1)))
% 3.69/3.83 [181]E(f10(f36(f44(x1811,a1)),x1812,f44(x1811,a1)),f36(f44(x1811,a1)))
% 3.69/3.83 [190]E(f10(x1901,f15(x1901,f44(x1902,a1)),f44(x1902,a1)),f36(f44(x1902,a1)))
% 3.69/3.83 [191]E(f10(f15(x1911,f44(x1912,a1)),x1911,f44(x1912,a1)),f36(f44(x1912,a1)))
% 3.69/3.83 [238]P8(f38(x2381,f17(x2382),a42),f17(f38(x2381,x2382,a42)),f44(a42,a1))
% 3.69/3.83 [239]P8(f38(x2391,f18(x2392),a42),f18(f38(x2391,x2392,a42)),f44(a42,a1))
% 3.69/3.83 [240]P8(f38(x2401,f19(x2402),a42),f19(f38(x2401,x2402,a42)),f44(a42,a1))
% 3.69/3.83 [332]~P6(f33(f37(x3321),x3322),a32,a43)
% 3.69/3.83 [333]~P6(f28(x3331,x3332),f11(f3(a2)),a42)
% 3.69/3.83 [167]E(f26(f38(f27(x1671),x1672,a42)),f26(x1672))
% 3.69/3.83 [168]E(f26(f38(f25(x1681),x1682,a42)),f26(x1682))
% 3.69/3.83 [169]E(f26(f38(f29(x1691),x1692,a42)),f26(x1692))
% 3.69/3.83 [176]P17(f33(f36(f44(x1761,a1)),x1762))
% 3.69/3.83 [182]E(f26(f38(f33(a30,x1821),x1822,a42)),f26(x1822))
% 3.69/3.83 [195]E(f18(f38(f27(x1951),x1952,a42)),f38(f27(x1951),f18(x1952),a42))
% 3.69/3.83 [196]E(f18(f38(f25(x1961),x1962,a42)),f38(f25(x1961),f18(x1962),a42))
% 3.69/3.83 [197]E(f18(f38(f29(x1971),x1972,a42)),f38(f29(x1971),f18(x1972),a42))
% 3.69/3.83 [198]E(f19(f38(f27(x1981),x1982,a42)),f38(f27(x1981),f19(x1982),a42))
% 3.69/3.83 [199]E(f19(f38(f25(x1991),x1992,a42)),f38(f25(x1991),f19(x1992),a42))
% 3.69/3.83 [200]E(f19(f38(f29(x2001),x2002,a42)),f38(f29(x2001),f19(x2002),a42))
% 3.69/3.83 [202]E(f20(f16(x2021,f3(x2022),x2022),x2022),f16(x2021,f3(x2022),x2022))
% 3.69/3.83 [211]E(f18(f38(f33(a30,x2111),x2112,a42)),f38(f33(a30,x2111),f18(x2112),a42))
% 3.69/3.83 [212]E(f10(f18(x2121),f18(x2122),f44(a42,a1)),f18(f10(x2121,x2122,f44(a42,a1))))
% 3.69/3.83 [220]E(f19(f10(f19(x2201),x2202,f44(a42,a1))),f19(f10(x2201,x2202,f44(a42,a1))))
% 3.69/3.83 [259]E(f10(f19(f10(x2591,x2592,f44(a42,a1))),f17(x2591),f44(a42,a1)),f19(f10(f17(x2591),x2592,f44(a42,a1))))
% 3.69/3.83 [260]P8(f18(f10(x2601,x2602,f44(a42,a1))),f10(f18(x2601),f18(x2602),f44(a42,a1)),f44(a42,a1))
% 3.69/3.83 [261]P8(f10(f17(x2611),f17(x2612),f44(a42,a1)),f17(f10(x2611,x2612,f44(a42,a1))),f44(a42,a1))
% 3.69/3.83 [262]P8(f10(f18(x2621),f18(x2622),f44(a42,a1)),f18(f10(x2621,x2622,f44(a42,a1))),f44(a42,a1))
% 3.69/3.83 [263]P8(f10(f19(x2631),f19(x2632),f44(a42,a1)),f19(f10(x2631,x2632,f44(a42,a1))),f44(a42,a1))
% 3.69/3.83 [335]~P6(f29(x3351),f18(f4(x3352,f3(a2))),a42)
% 3.69/3.83 [337]~P6(f33(a24,f33(f37(x3371),x3372)),a32,a43)
% 3.69/3.83 [218]P6(f33(a30,f33(a24,f33(f37(x2181),x2182))),f4(x2182,f3(a2)),a42)
% 3.69/3.83 [186]P6(x1861,f38(x1861,x1862,x1863),x1863)
% 3.69/3.83 [193]P8(x1931,f38(x1932,x1931,x1933),f44(x1933,a1))
% 3.69/3.83 [293]~E(f27(x2931),f31(x2932,x2933))
% 3.69/3.83 [294]~E(f27(x2941),f28(x2942,x2943))
% 3.69/3.83 [295]~E(f25(x2951),f31(x2952,x2953))
% 3.69/3.83 [296]~E(f25(x2961),f28(x2962,x2963))
% 3.69/3.83 [297]~E(f29(x2971),f31(x2972,x2973))
% 3.69/3.83 [298]~E(f29(x2981),f28(x2982,x2983))
% 3.69/3.83 [299]~E(f31(x2991,x2992),f27(x2993))
% 3.69/3.83 [300]~E(f31(x3001,x3002),f25(x3003))
% 3.69/3.83 [301]~E(f31(x3011,x3012),f29(x3013))
% 3.69/3.83 [302]~E(f28(x3021,x3022),f27(x3023))
% 3.69/3.83 [303]~E(f28(x3031,x3032),f25(x3033))
% 3.69/3.83 [304]~E(f28(x3041,x3042),f29(x3043))
% 3.69/3.83 [305]~E(f31(x3051,x3052),f33(a30,x3053))
% 3.69/3.83 [306]~E(f28(x3061,x3062),f33(a30,x3063))
% 3.69/3.83 [307]~E(f33(a30,x3071),f31(x3072,x3073))
% 3.69/3.83 [308]~E(f33(a30,x3081),f28(x3082,x3083))
% 3.69/3.83 [319]~E(f16(x3191,x3192,x3193),x3192)
% 3.69/3.83 [322]~E(f16(x3221,x3222,x3223),f3(x3223))
% 3.69/3.83 [341]~P6(f28(x3411,x3412),f39(a30,x3413,a43,a42),a42)
% 3.69/3.83 [179]E(f10(x1791,x1792,f44(x1793,a1)),f10(x1792,x1791,f44(x1793,a1)))
% 3.69/3.83 [203]E(f38(x2031,f22(x2032,x2033),x2033),f22(f16(x2031,x2032,x2033),x2033))
% 3.69/3.83 [205]E(f38(x2051,f38(x2051,x2052,x2053),x2053),f38(x2051,x2052,x2053))
% 3.69/3.83 [208]E(f9(f20(x2081,x2082),f20(x2083,x2082),x2082),f20(f9(x2083,x2081,x2082),x2082))
% 3.69/3.83 [209]P8(x2091,f10(x2092,x2091,f44(x2093,a1)),f44(x2093,a1))
% 3.69/3.83 [210]P8(x2101,f10(x2101,x2102,f44(x2103,a1)),f44(x2103,a1))
% 3.69/3.83 [213]P17(f33(f38(x2131,x2132,x2133),x2131))
% 3.69/3.83 [215]E(f10(f22(x2151,x2152),f22(x2153,x2152),f44(x2152,a1)),f22(f9(x2151,x2153,x2152),x2152))
% 3.69/3.83 [219]E(f10(x2191,f10(x2191,x2192,f44(x2193,a1)),f44(x2193,a1)),f10(x2191,x2192,f44(x2193,a1)))
% 3.69/3.83 [231]P8(f4(x2311,x2312),f4(x2311,f16(x2313,x2312,a2)),f44(a42,a1))
% 3.69/3.83 [232]P8(f22(x2321,x2322),f22(f16(x2323,x2321,x2322),x2322),f44(x2322,a1))
% 3.69/3.83 [313]~E(f33(a34,x3131),f33(f37(x3132),x3133))
% 3.69/3.83 [314]~E(f33(f37(x3141),x3142),f33(a34,x3143))
% 3.69/3.83 [342]~P6(f33(a34,x3421),f39(f37(x3422),x3423,a40,a43),a43)
% 3.69/3.83 [343]~P6(f33(f37(x3431),x3432),f39(a34,x3433,a40,a43),a43)
% 3.69/3.83 [183]P6(f33(a30,f33(f37(x1831),x1832)),f11(x1833),a42)
% 3.69/3.83 [187]E(f26(f38(f31(x1871,x1872),x1873,a42)),f26(x1873))
% 3.69/3.83 [188]E(f11(f16(f6(x1881,x1882),x1883,a2)),f11(x1883))
% 3.69/3.83 [189]P6(f33(a30,f33(f37(x1891),x1892)),f4(a21,x1893),a42)
% 3.69/3.83 [192]E(f4(a21,f16(f6(x1921,x1922),x1923,a2)),f4(a21,x1923))
% 3.69/3.83 [194]P6(f33(a30,f33(f37(x1941),x1942)),f4(x1943,f3(a2)),a42)
% 3.69/3.83 [204]P6(f33(a30,f33(f37(x2041),x2042)),f19(f4(a21,x2043)),a42)
% 3.69/3.83 [214]E(f4(x2141,f16(f7(x2141,x2142),x2143,a2)),f38(x2142,f4(x2141,x2143),a42))
% 3.69/3.83 [221]E(f9(f20(x2211,x2212),f16(x2213,f3(x2212),x2212),x2212),f20(f16(x2213,x2211,x2212),x2212))
% 3.69/3.83 [251]E(f38(f28(x2511,x2512),f18(f38(x2512,x2513,a42)),a42),f18(f38(f28(x2511,x2512),x2513,a42)))
% 3.69/3.83 [276]P8(f19(f38(f28(x2761,x2762),x2763,a42)),f38(f28(x2761,x2762),f19(f38(x2762,x2763,a42)),a42),f44(a42,a1))
% 3.69/3.83 [323]~E(f33(a34,x3231),f33(a24,f33(f37(x3232),x3233)))
% 3.69/3.83 [324]~E(f33(a24,f33(f37(x3241),x3242)),f33(a34,x3243))
% 3.69/3.83 [336]~P6(f28(x3361,x3362),f18(f4(x3363,f3(a2))),a42)
% 3.69/3.83 [344]~P6(f33(a24,f33(f37(x3441),x3442)),f39(a34,x3443,a40,a43),a43)
% 3.69/3.83 [346]~P6(f33(a34,x3461),f39(a24,f39(f37(x3462),x3463,a40,a43),a43,a43),a43)
% 3.69/3.83 [217]P6(f33(a30,f33(a24,f33(f37(x2171),x2172))),f11(x2173),a42)
% 3.69/3.83 [250]E(f4(a21,f9(x2501,f16(f6(x2502,x2503),f3(a2),a2),a2)),f4(a21,x2501))
% 3.69/3.83 [257]E(f20(f9(f20(x2571,x2572),f16(x2573,f3(x2572),x2572),x2572),x2572),f16(x2573,x2571,x2572))
% 3.69/3.83 [272]E(f38(f31(x2721,x2722),f18(f38(x2721,f38(x2722,x2723,a42),a42)),a42),f18(f38(f31(x2721,x2722),x2723,a42)))
% 3.69/3.83 [273]E(f38(f31(x2731,x2732),f19(f38(x2731,f38(x2732,x2733,a42),a42)),a42),f19(f38(f31(x2731,x2732),x2733,a42)))
% 3.69/3.83 [310]~E(f28(x3101,x3102),f31(x3103,x3104))
% 3.69/3.83 [312]~E(f7(x3121,x3122),f6(x3123,x3124))
% 3.69/3.83 [222]E(f38(x2221,f38(x2222,x2223,x2224),x2224),f38(x2222,f38(x2221,x2223,x2224),x2224))
% 3.69/3.83 [228]E(f9(f9(x2281,x2282,x2283),x2284,x2283),f9(x2281,f9(x2282,x2284,x2283),x2283))
% 3.69/3.83 [230]E(f16(x2301,f9(x2302,x2303,x2304),x2304),f9(f16(x2301,x2302,x2304),x2303,x2304))
% 3.69/3.83 [252]E(f10(x2521,f10(x2522,x2523,f44(x2524,a1)),f44(x2524,a1)),f10(x2522,f10(x2521,x2523,f44(x2524,a1)),f44(x2524,a1)))
% 3.69/3.83 [254]E(f10(f10(x2541,x2542,f44(x2543,a1)),x2544,f44(x2543,a1)),f10(x2541,f10(x2542,x2544,f44(x2543,a1)),f44(x2543,a1)))
% 3.69/3.83 [233]E(f38(x2331,f10(x2332,x2333,f44(x2334,a1)),x2334),f10(x2332,f38(x2331,x2333,x2334),f44(x2334,a1)))
% 3.69/3.83 [234]E(f38(x2341,f10(x2342,x2343,f44(x2344,a1)),x2344),f10(f38(x2341,x2342,x2344),x2343,f44(x2344,a1)))
% 3.69/3.83 [241]E(f4(a21,f16(f8(x2411,x2412,x2413),x2414,a2)),f38(x2413,f4(a21,x2414),a42))
% 3.69/3.83 [245]E(f4(x2451,f16(f8(x2451,x2452,x2453),x2454,a2)),f38(x2453,f4(x2451,x2454),a42))
% 3.69/3.83 [264]P6(f33(x2641,x2642),f39(x2641,f36(f44(x2643,a1)),x2643,x2644),x2644)
% 3.69/3.83 [265]P6(x2651,f22(f9(x2652,f16(x2651,x2653,x2654),x2654),x2654),x2654)
% 3.69/3.83 [329]~E(f33(f37(x3291),x3292),f33(a24,f33(f37(x3293),x3294)))
% 3.69/3.83 [330]~E(f33(a24,f33(f37(x3301),x3302)),f33(f37(x3303),x3304))
% 3.69/3.83 [345]~P6(f33(a24,f33(f37(x3451),x3452)),f39(f37(x3453),x3454,a40,a43),a43)
% 3.69/3.83 [347]~P6(f33(f37(x3471),x3472),f39(a24,f39(f37(x3473),x3474,a40,a43),a43,a43),a43)
% 3.69/3.83 [270]E(f4(a21,f9(x2701,f16(f8(x2702,x2703,x2704),f3(a2),a2),a2)),f38(x2704,f4(a21,x2701),a42))
% 3.69/3.83 [325]~E(f6(x3251,x3252),f8(x3253,x3254,x3255))
% 3.69/3.83 [326]~E(f7(x3261,x3262),f8(x3263,x3264,x3265))
% 3.69/3.83 [327]~E(f8(x3271,x3272,x3273),f6(x3274,x3275))
% 3.69/3.83 [328]~E(f8(x3281,x3282,x3283),f7(x3284,x3285))
% 3.69/3.83 [274]E(f39(x2741,f38(x2742,x2743,x2744),x2744,x2745),f38(f33(x2741,x2742),f39(x2741,x2743,x2744,x2745),x2745))
% 3.69/3.83 [275]E(f38(f33(x2751,x2752),f39(x2751,x2753,x2754,x2755),x2755),f39(x2751,f38(x2752,x2753,x2754),x2754,x2755))
% 3.69/3.83 [278]E(f10(f39(x2781,x2782,x2783,x2784),f39(x2781,x2785,x2783,x2784),f44(x2784,a1)),f39(x2781,f10(x2782,x2785,f44(x2783,a1)),x2783,x2784))
% 3.69/3.83 [395]E(f33(a24,x3951),x3951)+~P6(x3951,a32,a43)
% 3.69/3.83 [416]~P6(x4161,a32,a43)+P6(f33(a24,x4161),a32,a43)
% 3.69/3.83 [425]P6(x4251,a32,a43)+~P6(f33(a24,x4251),a32,a43)
% 3.69/3.83 [380]~P9(x3802)+P8(x3801,x3801,x3802)
% 3.69/3.83 [381]~P16(x3812)+P8(x3811,x3811,x3812)
% 3.69/3.83 [348]E(x3481,x3482)+~E(f27(x3481),f27(x3482))
% 3.69/3.83 [349]E(x3491,x3492)+~E(f25(x3491),f25(x3492))
% 3.69/3.83 [350]E(x3501,x3502)+~E(f29(x3501),f29(x3502))
% 3.69/3.83 [352]~E(f20(x3521,x3522),f3(x3522))+E(x3521,f3(x3522))
% 3.69/3.83 [353]~P1(x3532)+P1(f44(x3531,x3532))
% 3.69/3.83 [354]~P2(x3542)+P2(f44(x3541,x3542))
% 3.69/3.83 [355]~P9(x3552)+P9(f44(x3551,x3552))
% 3.69/3.83 [356]~P11(x3562)+P10(f44(x3561,x3562))
% 3.69/3.83 [357]~P11(x3572)+P11(f44(x3571,x3572))
% 3.69/3.83 [358]~P3(x3582)+P3(f44(x3581,x3582))
% 3.69/3.83 [359]~P15(x3592)+P15(f44(x3591,x3592))
% 3.69/3.83 [360]~P16(x3602)+P16(f44(x3601,x3602))
% 3.69/3.83 [361]E(x3611,x3612)+~E(f33(a30,x3611),f33(a30,x3612))
% 3.69/3.83 [362]E(x3621,x3622)+~E(f33(a24,x3621),f33(a24,x3622))
% 3.69/3.83 [363]E(x3631,x3632)+~E(f33(a34,x3631),f33(a34,x3632))
% 3.69/3.83 [382]~P10(x3822)+E(f10(x3821,x3821,x3822),x3821)
% 3.69/3.83 [385]~P15(x3852)+P8(x3851,f36(x3852),x3852)
% 3.69/3.83 [407]~P6(x4071,x4072,a42)+P6(x4071,f17(x4072),a42)
% 3.69/3.83 [408]~P6(x4081,x4082,a42)+P6(x4081,f18(x4082),a42)
% 3.69/3.83 [409]~P6(x4091,x4092,a42)+P6(x4091,f19(x4092),a42)
% 3.69/3.83 [415]~P6(x4151,f19(x4152),a42)+P6(x4151,f18(x4152),a42)
% 3.69/3.83 [417]P6(f27(x4171),f17(x4172),a42)+~P6(x4171,f17(x4172),a42)
% 3.69/3.83 [420]~P6(f29(x4201),f17(x4202),a42)+P6(f29(x4201),x4202,a42)
% 3.69/3.83 [456]~P8(x4561,x4562,f44(a42,a1))+P8(f17(x4561),f17(x4562),f44(a42,a1))
% 3.69/3.83 [457]~P8(x4571,x4572,f44(a42,a1))+P8(f18(x4571),f18(x4572),f44(a42,a1))
% 3.69/3.83 [458]~P8(x4581,x4582,f44(a42,a1))+P8(f19(x4581),f19(x4582),f44(a42,a1))
% 3.69/3.83 [459]~P8(x4591,x4592,f44(a42,a1))+P8(f26(x4591),f26(x4592),f44(a43,a1))
% 3.69/3.83 [462]~P6(f33(a30,x4621),f17(x4622),a42)+P6(f33(a30,x4621),x4622,a42)
% 3.69/3.83 [464]P8(f17(x4641),f17(x4642),f44(a42,a1))+~P8(x4641,f17(x4642),f44(a42,a1))
% 3.69/3.83 [465]P8(f18(x4651),f18(x4652),f44(a42,a1))+~P8(x4651,f18(x4652),f44(a42,a1))
% 3.69/3.83 [466]P8(f19(x4661),f19(x4662),f44(a42,a1))+~P8(x4661,f19(x4662),f44(a42,a1))
% 3.69/3.83 [471]P8(x4711,f17(x4712),f44(a42,a1))+~P8(f17(x4711),f17(x4712),f44(a42,a1))
% 3.69/3.83 [472]P8(x4721,f18(x4722),f44(a42,a1))+~P8(f18(x4721),f18(x4722),f44(a42,a1))
% 3.69/3.83 [473]P8(x4731,f19(x4732),f44(a42,a1))+~P8(f19(x4731),f19(x4732),f44(a42,a1))
% 3.69/3.83 [619]P6(x6191,x6192,a43)+~P6(f33(a30,x6191),f39(a30,x6192,a43,a42),a42)
% 3.69/3.83 [620]P6(x6201,x6202,a43)+~P6(f33(a24,x6201),f39(a24,x6202,a43,a43),a43)
% 3.69/3.83 [621]P6(x6211,x6212,a40)+~P6(f33(a34,x6211),f39(a34,x6212,a40,a43),a43)
% 3.69/3.83 [375]~P2(x3752)+E(f15(f15(x3751,x3752),x3752),x3751)
% 3.69/3.83 [377]~P13(x3772)+E(f15(f15(x3771,x3772),x3772),x3771)
% 3.69/3.83 [386]~P1(x3862)+E(f10(x3861,f36(x3862),x3862),f36(x3862))
% 3.69/3.83 [387]~P1(x3871)+E(f10(f36(x3871),x3872,x3871),f36(x3871))
% 3.69/3.83 [389]~P2(x3892)+E(f10(x3891,f15(x3891,x3892),x3892),f36(x3892))
% 3.69/3.83 [390]~P2(x3902)+E(f10(f15(x3901,x3902),x3901,x3902),f36(x3902))
% 3.69/3.83 [426]P6(x4261,f17(x4262),a42)+~P6(x4261,f17(f17(x4262)),a42)
% 3.69/3.83 [427]P6(x4271,f18(x4272),a42)+~P6(x4271,f18(f18(x4272)),a42)
% 3.69/3.83 [428]P6(x4281,f19(x4282),a42)+~P6(x4281,f19(f19(x4282)),a42)
% 3.69/3.83 [460]~P6(x4601,f18(x4602),a42)+E(f18(f38(x4601,x4602,a42)),f18(x4602))
% 3.69/3.83 [461]~P6(x4611,f19(x4612),a42)+E(f19(f38(x4611,x4612,a42)),f19(x4612))
% 3.69/3.83 [478]P6(x4781,f11(x4782),a42)+~P6(x4781,f18(f4(a21,x4782)),a42)
% 3.69/3.83 [481]~P6(x4811,a5,a40)+P6(f33(a30,f33(a34,x4811)),f4(a21,x4812),a42)
% 3.69/3.83 [482]~P8(x4821,x4822,f44(a42,a1))+P8(f17(f19(x4821)),f17(f19(x4822)),f44(a42,a1))
% 3.69/3.83 [593]P8(f18(f38(x5931,x5932,a42)),f10(f17(f19(x5932)),f18(x5932),f44(a42,a1)),f44(a42,a1))+~P6(x5931,f17(f19(x5932)),a42)
% 3.69/3.83 [521]P6(x5211,f26(f19(x5212)),a43)+E(f19(f38(f33(a30,x5211),x5212,a42)),f38(f33(a30,x5211),f19(x5212),a42))
% 3.69/3.83 [538]~P6(x5381,f17(f19(x5382)),a42)+E(f17(f19(f38(x5381,x5382,a42))),f17(f19(x5382)))
% 3.69/3.83 [627]P6(f33(a30,x6271),f11(x6272),a42)+~P6(x6271,f39(a34,f36(f44(a40,a1)),a40,a43),a43)
% 3.69/3.83 [388]E(x3881,x3882)+~P7(x3881,x3882,x3883)
% 3.69/3.83 [369]E(x3691,x3692)+~E(f20(x3691,x3693),f20(x3692,x3693))
% 3.69/3.83 [393]~E(f9(x3933,x3931,x3932),x3933)+E(x3931,f3(x3932))
% 3.69/3.83 [394]~E(f9(x3941,x3943,x3942),x3943)+E(x3941,f3(x3942))
% 3.69/3.83 [398]~E(f9(x3983,x3981,x3982),f3(x3982))+E(x3981,f3(x3982))
% 3.69/3.83 [399]~E(f9(x3991,x3993,x3992),f3(x3992))+E(x3991,f3(x3992))
% 3.69/3.83 [400]P6(x4001,x4002,x4003)+~P17(f33(x4002,x4001))
% 3.69/3.83 [401]~P10(x4013)+E(f10(x4011,x4012,x4013),f10(x4012,x4011,x4013))
% 3.69/3.83 [402]~P11(x4023)+E(f10(x4021,x4022,x4023),f10(x4022,x4021,x4023))
% 3.69/3.83 [403]~P6(x4032,x4031,x4033)+P17(f33(x4031,x4032))
% 3.69/3.83 [406]~P6(x4061,x4062,x4063)+E(f38(x4061,x4062,x4063),x4062)
% 3.69/3.83 [421]~P10(x4213)+P8(x4211,f10(x4212,x4211,x4213),x4213)
% 3.69/3.83 [422]~P11(x4223)+P8(x4221,f10(x4222,x4221,x4223),x4223)
% 3.69/3.83 [423]~P10(x4233)+P8(x4231,f10(x4231,x4232,x4233),x4233)
% 3.69/3.83 [424]~P11(x4243)+P8(x4241,f10(x4241,x4242,x4243),x4243)
% 3.69/3.83 [442]P6(x4421,f18(x4422),a42)+~P6(f31(x4423,x4421),f18(x4422),a42)
% 3.69/3.83 [443]P6(x4431,f18(x4432),a42)+~P6(f31(x4431,x4433),f18(x4432),a42)
% 3.69/3.83 [444]P6(x4441,f18(x4442),a42)+~P6(f28(x4443,x4441),f18(x4442),a42)
% 3.69/3.83 [445]P6(x4451,f19(x4452),a42)+~P6(f31(x4453,x4451),f19(x4452),a42)
% 3.69/3.83 [446]P6(x4461,f19(x4462),a42)+~P6(f31(x4461,x4463),f19(x4462),a42)
% 3.69/3.83 [447]P6(x4471,f11(x4472),a42)+~P6(f31(x4473,x4471),f11(x4472),a42)
% 3.69/3.83 [448]P6(x4481,f11(x4482),a42)+~P6(f31(x4481,x4483),f11(x4482),a42)
% 3.69/3.83 [463]~P6(f28(x4631,x4633),x4632,a42)+P6(f33(a24,x4631),f26(x4632),a43)
% 3.69/3.83 [474]P6(x4741,f11(x4742),a42)+~P6(f7(x4743,x4741),f22(x4742,a2),a2)
% 3.69/3.83 [488]P6(x4881,f4(x4882,x4883),a42)+~P6(f7(x4882,x4881),f22(x4883,a2),a2)
% 3.69/3.83 [405]E(x4051,x4052)+~E(f15(x4051,f44(x4053,a1)),f15(x4052,f44(x4053,a1)))
% 3.69/3.83 [436]~E(f20(x4361,x4363),f16(x4362,f3(x4363),x4363))+E(x4361,f16(x4362,f3(x4363),x4363))
% 3.69/3.83 [437]~E(f16(x4372,f3(x4373),x4373),f20(x4371,x4373))+E(x4371,f16(x4372,f3(x4373),x4373))
% 3.69/3.83 [438]P6(x4381,x4382,x4383)+P6(x4381,f15(x4382,f44(x4383,a1)),x4383)
% 3.69/3.83 [452]~P8(x4521,x4522,f44(x4523,a1))+E(f10(x4521,x4522,f44(x4523,a1)),x4522)
% 3.69/3.83 [453]~P8(x4532,x4531,f44(x4533,a1))+E(f10(x4531,x4532,f44(x4533,a1)),x4531)
% 3.69/3.83 [454]P8(x4541,x4542,f44(x4543,a1))+~E(f10(x4541,x4542,f44(x4543,a1)),x4542)
% 3.69/3.83 [476]~P10(x4763)+E(f10(x4761,f10(x4761,x4762,x4763),x4763),f10(x4761,x4762,x4763))
% 3.69/3.83 [477]~P11(x4773)+E(f10(x4771,f10(x4771,x4772,x4773),x4773),f10(x4771,x4772,x4773))
% 3.69/3.83 [479]P6(x4791,f17(f19(x4792)),a42)+~P6(f31(x4793,x4791),f17(f19(x4792)),a42)
% 3.69/3.83 [480]P6(x4801,f17(f19(x4802)),a42)+~P6(f31(x4801,x4803),f17(f19(x4802)),a42)
% 3.69/3.83 [483]~E(f19(x4832),f19(x4833))+E(f19(f38(x4831,x4832,a42)),f19(f38(x4831,x4833,a42)))
% 3.69/3.83 [512]~P6(x5121,x5122,x5123)+~P6(x5121,f15(x5122,f44(x5123,a1)),x5123)
% 3.69/3.83 [543]~P8(x5433,x5431,f44(x5432,a1))+P8(f15(x5431,f44(x5432,a1)),f15(x5433,f44(x5432,a1)),f44(x5432,a1))
% 3.69/3.83 [548]~P6(x5481,f18(x5483),a42)+P6(x5481,f18(f38(x5482,x5483,a42)),a42)
% 3.69/3.83 [549]~P6(x5491,f19(x5493),a42)+P6(x5491,f19(f38(x5492,x5493,a42)),a42)
% 3.69/3.83 [572]P8(x5721,x5722,f44(x5723,a1))+~P8(f15(x5722,f44(x5723,a1)),f15(x5721,f44(x5723,a1)),f44(x5723,a1))
% 3.69/3.83 [584]~P6(x5841,x5843,a42)+P8(f18(f38(x5841,x5842,a42)),f10(f18(x5843),f18(x5842),f44(a42,a1)),f44(a42,a1))
% 3.69/3.83 [631]P8(f19(f38(x6311,x6312,a42)),f10(f17(f19(x6313)),f19(f10(x6313,x6312,f44(a42,a1))),f44(a42,a1)),f44(a42,a1))+~P6(x6311,f17(f19(x6313)),a42)
% 3.69/3.83 [485]P6(x4851,a5,a40)+E(f4(a21,f16(f7(x4851,x4852),x4853,a2)),f4(a21,x4853))
% 3.69/3.83 [495]E(x4951,a21)+E(f4(x4951,f16(f6(x4951,x4952),x4953,a2)),f38(x4952,f4(x4951,x4953),a42))
% 3.69/3.83 [496]P6(x4961,f11(x4962),a42)+~P6(x4961,f18(f4(x4963,f3(a2))),a42)
% 3.69/3.83 [532]~P6(x5321,a5,a40)+E(f4(a21,f16(f7(x5321,x5322),x5323,a2)),f38(x5322,f4(a21,x5323),a42))
% 3.69/3.83 [555]P6(f33(a30,f33(a24,x5551)),f19(x5553),a42)+E(f19(f38(f28(x5551,x5552),x5553,a42)),f38(f28(x5551,x5552),f19(x5553),a42))
% 3.69/3.83 [576]~P6(x5761,f19(x5763),a42)+P6(x5761,f19(f10(x5762,x5763,f44(a42,a1))),a42)
% 3.69/3.83 [601]~P6(f33(a30,f33(a24,x6011)),f19(x6013),a42)+E(f38(f28(x6011,x6012),f19(f38(x6012,x6013,a42)),a42),f19(f38(f28(x6011,x6012),x6013,a42)))
% 3.69/3.83 [630]P8(f38(f28(x6301,x6302),f19(f38(x6302,x6303,a42)),a42),f19(f38(f28(x6301,x6302),x6303,a42)),f44(a42,a1))+~P6(f33(a30,f33(a24,x6301)),f19(x6303),a42)
% 3.69/3.83 [642]~P6(x6422,x6423,a40)+P6(f33(a24,f33(f37(x6421),x6422)),f39(a24,f39(f37(x6421),x6423,a40,a43),a43,a43),a43)
% 3.69/3.83 [648]~P6(x6481,x6482,a43)+P6(f33(a30,x6481),f19(f10(f39(a30,x6482,a43,a42),x6483,f44(a42,a1))),a42)
% 3.69/3.83 [556]~P6(x5562,a5,a40)+P6(f33(a30,f33(a24,f33(f37(x5561),x5562))),f4(a21,x5563),a42)
% 3.69/3.83 [581]P6(x5812,a5,a40)+E(f4(a21,f9(x5811,f16(f7(x5812,x5813),f3(a2),a2),a2)),f4(a21,x5811))
% 3.69/3.83 [594]~P6(x5942,a5,a40)+E(f4(a21,f9(x5941,f16(f7(x5942,x5943),f3(a2),a2),a2)),f38(x5943,f4(a21,x5941),a42))
% 3.69/3.83 [364]E(x3641,x3642)+~E(f6(x3643,x3641),f6(x3644,x3642))
% 3.69/3.83 [365]E(x3651,x3652)+~E(f31(x3653,x3651),f31(x3654,x3652))
% 3.69/3.83 [366]E(x3661,x3662)+~E(f28(x3663,x3661),f28(x3664,x3662))
% 3.69/3.83 [367]E(x3671,x3672)+~E(f7(x3673,x3671),f7(x3674,x3672))
% 3.69/3.83 [368]E(x3681,x3682)+~E(f6(x3681,x3683),f6(x3682,x3684))
% 3.69/3.83 [370]E(x3701,x3702)+~E(f31(x3701,x3703),f31(x3702,x3704))
% 3.69/3.83 [371]E(x3711,x3712)+~E(f28(x3711,x3713),f28(x3712,x3714))
% 3.69/3.83 [372]E(x3721,x3722)+~E(f7(x3721,x3723),f7(x3722,x3724))
% 3.69/3.83 [432]E(x4321,x4322)+~E(f9(x4323,x4321,x4324),f9(x4323,x4322,x4324))
% 3.69/3.83 [433]E(x4331,x4332)+~E(f9(x4331,x4333,x4334),f9(x4332,x4333,x4334))
% 3.69/3.83 [494]~P6(x4941,x4943,x4944)+P6(x4941,f38(x4942,x4943,x4944),x4944)
% 3.69/3.83 [520]~P8(x5201,x5203,f44(x5204,a1))+P8(x5201,f38(x5202,x5203,x5204),f44(x5204,a1))
% 3.69/3.83 [546]P6(x5461,x5462,x5463)+~P8(f38(x5461,x5464,x5463),x5462,f44(x5463,a1))
% 3.69/3.83 [547]P6(x5471,f11(x5472),a42)+~P6(f8(x5473,x5474,x5471),f22(x5472,a2),a2)
% 3.69/3.83 [552]P6(x5521,f4(a21,x5522),a42)+~P6(f8(x5523,x5524,x5521),f22(x5522,a2),a2)
% 3.69/3.83 [553]P6(x5531,f4(x5532,x5533),a42)+~P6(f8(x5532,x5534,x5531),f22(x5533,a2),a2)
% 3.69/3.83 [554]~P8(f38(x5544,x5541,x5543),x5542,f44(x5543,a1))+P8(x5541,x5542,f44(x5543,a1))
% 3.69/3.83 [566]~P8(x5662,x5664,f44(x5663,a1))+P8(f38(x5661,x5662,x5663),f38(x5661,x5664,x5663),f44(x5663,a1))
% 3.69/3.83 [383]E(x3831,x3832)+~E(f33(f37(x3833),x3831),f33(f37(x3834),x3832))
% 3.69/3.83 [384]E(x3841,x3842)+~E(f33(f37(x3841),x3843),f33(f37(x3842),x3844))
% 3.69/3.83 [516]~P17(f33(x5162,x5164))+P17(f33(f38(x5161,x5162,x5163),x5164))
% 3.69/3.83 [517]~P6(x5171,x5173,x5174)+P6(x5171,f10(x5172,x5173,f44(x5174,a1)),x5174)
% 3.69/3.83 [518]~P6(x5181,x5182,x5184)+P6(x5181,f10(x5182,x5183,f44(x5184,a1)),x5184)
% 3.69/3.83 [534]~P10(x5344)+E(f10(x5341,f10(x5342,x5343,x5344),x5344),f10(x5342,f10(x5341,x5343,x5344),x5344))
% 3.69/3.83 [535]~P11(x5354)+E(f10(x5351,f10(x5352,x5353,x5354),x5354),f10(x5352,f10(x5351,x5353,x5354),x5354))
% 3.69/3.83 [536]~P10(x5363)+E(f10(f10(x5361,x5362,x5363),x5364,x5363),f10(x5361,f10(x5362,x5364,x5363),x5363))
% 3.69/3.83 [537]~P11(x5373)+E(f10(f10(x5371,x5372,x5373),x5374,x5373),f10(x5371,f10(x5372,x5374,x5373),x5373))
% 3.69/3.83 [560]~P6(f8(x5603,x5604,x5601),f22(x5602,a2),a2)+P6(x5601,f18(f4(a21,x5602)),a42)
% 3.69/3.83 [561]~P6(f8(x5613,x5614,x5611),f22(x5612,a2),a2)+P6(x5611,f19(f4(a21,x5612)),a42)
% 3.69/3.83 [574]P8(x5741,x5742,f44(x5743,a1))+~P8(f10(x5744,x5741,f44(x5743,a1)),x5742,f44(x5743,a1))
% 3.69/3.83 [575]P8(x5751,x5752,f44(x5753,a1))+~P8(f10(x5751,x5754,f44(x5753,a1)),x5752,f44(x5753,a1))
% 3.69/3.83 [618]E(x6181,x6182)+~P6(f33(f37(x6181),x6183),f39(f37(x6182),x6184,a40,a43),a43)
% 3.69/3.83 [624]P6(x6241,x6242,a40)+~P6(f33(f37(x6243),x6241),f39(f37(x6244),x6242,a40,a43),a43)
% 3.69/3.83 [637]~P5(x6371,x6372,x6373,x6374)+P6(f8(x6371,x6372,f52(x6371,x6372,x6373,x6374)),f22(x6374,a2),a2)
% 3.69/3.83 [522]~E(f20(x5221,x5223),f16(x5224,x5222,x5223))+E(x5221,f9(f20(x5222,x5223),f16(x5224,f3(x5223),x5223),x5223))
% 3.69/3.83 [557]~P17(f33(x5572,x5574))+P17(f33(f10(x5571,x5572,f44(x5573,a1)),x5574))
% 3.69/3.83 [558]~P17(f33(x5581,x5584))+P17(f33(f10(x5581,x5582,f44(x5583,a1)),x5584))
% 3.69/3.83 [653]E(x6531,x6532)+~P6(f33(a24,f33(f37(x6531),x6533)),f39(a24,f39(f37(x6532),x6534,a40,a43),a43,a43),a43)
% 3.69/3.83 [654]P6(x6541,x6542,a40)+~P6(f33(a24,f33(f37(x6543),x6541)),f39(a24,f39(f37(x6544),x6542,a40,a43),a43,a43),a43)
% 3.69/3.83 [615]~P6(x6151,f19(f4(a21,x6154)),a42)+P6(x6151,f19(f4(a21,f16(f6(x6152,x6153),x6154,a2))),a42)
% 3.69/3.83 [616]~P6(x6161,f19(f4(a21,x6164)),a42)+P6(x6161,f19(f4(a21,f16(f7(x6162,x6163),x6164,a2))),a42)
% 3.69/3.83 [431]E(x4311,x4312)+~E(f16(x4313,x4311,x4314),f16(x4315,x4312,x4314))
% 3.69/3.83 [435]E(x4351,x4352)+~E(f16(x4351,x4353,x4354),f16(x4352,x4355,x4354))
% 3.69/3.83 [605]~P6(x6052,x6053,x6054)+P6(f33(x6051,x6052),f39(x6051,x6053,x6054,x6055),x6055)
% 3.69/3.83 [633]~P8(x6332,x6335,f44(x6333,a1))+P8(f39(x6331,x6332,x6333,x6334),f39(x6331,x6335,x6333,x6334),f44(x6334,a1))
% 3.69/3.83 [617]~P6(x6172,x6173,x6174)+E(f38(f33(x6171,x6172),f39(x6171,x6173,x6174,x6175),x6175),f39(x6171,x6173,x6174,x6175))
% 3.69/3.83 [586]E(x5861,x5862)+~E(f9(x5863,f16(x5861,f3(x5864),x5864),x5864),f9(x5865,f16(x5862,f3(x5864),x5864),x5864))
% 3.69/3.83 [587]E(x5871,x5872)+~E(f9(x5871,f16(x5873,f3(x5874),x5874),x5874),f9(x5872,f16(x5875,f3(x5874),x5874),x5874))
% 3.69/3.83 [636]~P6(x6361,f19(f4(a21,x6365)),a42)+P6(x6361,f19(f4(a21,f16(f8(x6362,x6363,x6364),x6365,a2))),a42)
% 3.69/3.83 [429]E(x4291,x4292)+~E(f8(x4293,x4294,x4291),f8(x4295,x4296,x4292))
% 3.69/3.83 [430]E(x4301,x4302)+~E(f8(x4303,x4301,x4304),f8(x4305,x4302,x4306))
% 3.69/3.83 [434]E(x4341,x4342)+~E(f8(x4341,x4343,x4344),f8(x4342,x4345,x4346))
% 3.69/3.83 [643]P6(x6431,f18(f4(a21,x6432)),a42)+~P6(f8(a23,x6433,f28(f33(a34,x6433),f31(x6434,f31(x6435,f31(x6431,x6436))))),f22(x6432,a2),a2)
% 3.69/3.83 [639]P6(x6391,f18(f4(a21,x6392)),a42)+~P6(f8(x6393,x6394,f28(x6395,f31(x6396,f31(x6397,f31(x6398,x6391))))),f22(x6392,a2),a2)
% 3.69/3.83 [475]P6(f27(x4751),x4752,a42)+P6(x4751,f17(x4752),a42)+~P6(f27(x4751),f17(x4752),a42)
% 3.69/3.83 [544]~P6(x5441,a5,a40)+~P6(x5442,a35,f41(a2))+P6(f33(a30,f33(a34,x5441)),f18(f4(a21,x5442)),a42)
% 3.69/3.83 [545]~P6(x5451,a5,a40)+~P6(x5452,a35,f41(a2))+P6(f33(a30,f33(a34,x5451)),f19(f4(a21,x5452)),a42)
% 3.69/3.83 [567]P6(x5671,a5,a40)+~P6(x5672,a35,f41(a2))+~P6(f33(a30,f33(a34,x5671)),f18(f4(a21,x5672)),a42)
% 3.69/3.83 [568]P6(x5681,a5,a40)+~P6(x5682,a35,f41(a2))+~P6(f33(a30,f33(a34,x5681)),f19(f4(a21,x5682)),a42)
% 3.69/3.83 [634]~P6(x6342,a35,f41(a2))+P6(x6341,f39(a34,f36(f44(a40,a1)),a40,a43),a43)+P6(f33(a30,x6341),f19(f38(f33(a30,x6341),f4(a21,x6342),a42)),a42)
% 3.69/3.83 [404]P8(x4042,x4041,x4043)+~P12(x4043)+P8(x4041,x4042,x4043)
% 3.69/3.83 [378]~P2(x3783)+E(x3781,x3782)+~E(f15(x3781,x3783),f15(x3782,x3783))
% 3.69/3.83 [379]~P13(x3793)+E(x3791,x3792)+~E(f15(x3791,x3793),f15(x3792,x3793))
% 3.69/3.83 [410]~P10(x4103)+~P8(x4101,x4102,x4103)+E(f10(x4101,x4102,x4103),x4102)
% 3.69/3.83 [411]~P10(x4113)+~P8(x4112,x4111,x4113)+E(f10(x4111,x4112,x4113),x4111)
% 3.69/3.83 [412]~P10(x4123)+P8(x4121,x4122,x4123)+~E(f10(x4121,x4122,x4123),x4122)
% 3.69/3.83 [449]~P14(x4492)+~P8(x4493,x4491,x4492)+P8(f15(x4491,x4492),f15(x4493,x4492),x4492)
% 3.69/3.83 [468]~P14(x4683)+~P8(x4682,f15(x4681,x4683),x4683)+P8(x4681,f15(x4682,x4683),x4683)
% 3.69/3.83 [470]~P14(x4702)+~P8(f15(x4703,x4702),x4701,x4702)+P8(f15(x4701,x4702),x4703,x4702)
% 3.69/3.83 [484]~P14(x4843)+P8(x4841,x4842,x4843)+~P8(f15(x4842,x4843),f15(x4841,x4843),x4843)
% 3.69/3.83 [490]E(x4901,a21)+P6(x4902,f4(x4901,x4903),a42)+~P6(f6(x4901,x4902),f22(x4903,a2),a2)
% 3.69/3.83 [492]E(x4921,x4922)+~P8(x4921,x4922,f44(x4923,a1))+~P8(x4922,x4921,f44(x4923,a1))
% 3.69/3.83 [503]~P6(x5031,a32,a43)+P6(x5031,f26(x5032),a43)+~P6(f28(x5031,x5033),x5032,a42)
% 3.69/3.83 [504]P6(f31(x5041,x5042),f17(x5043),a42)+~P6(x5042,f17(x5043),a42)+~P6(x5041,f17(x5043),a42)
% 3.69/3.83 [505]P6(x5051,f17(x5052),a42)+P6(f31(x5053,x5051),x5052,a42)+~P6(f31(x5053,x5051),f17(x5052),a42)
% 3.69/3.83 [506]P6(x5061,f17(x5062),a42)+P6(f31(x5061,x5063),x5062,a42)+~P6(f31(x5061,x5063),f17(x5062),a42)
% 3.69/3.83 [507]P6(x5071,f17(x5072),a42)+P6(f28(x5073,x5071),x5072,a42)+~P6(f28(x5073,x5071),f17(x5072),a42)
% 3.69/3.83 [508]~P8(x5083,f17(x5082),f44(a42,a1))+P6(x5081,f17(x5082),a42)+~P6(x5081,f17(x5083),a42)
% 3.69/3.83 [509]~P8(x5093,f18(x5092),f44(a42,a1))+P6(x5091,f18(x5092),a42)+~P6(x5091,f18(x5093),a42)
% 3.69/3.83 [510]~P8(x5103,f19(x5102),f44(a42,a1))+P6(x5101,f19(x5102),a42)+~P6(x5101,f19(x5103),a42)
% 3.69/3.83 [515]~P6(f28(x5151,x5152),f17(x5153),a42)+P6(f28(x5151,x5152),x5153,a42)+P6(f33(a30,x5151),x5153,a42)
% 3.69/3.83 [519]P6(f28(x5191,x5192),f17(x5193),a42)+~P6(x5192,f17(x5193),a42)+~P6(f33(a30,x5191),x5193,a42)
% 3.69/3.83 [528]~P6(x5283,a5,a40)+~P6(f7(x5283,x5281),f22(x5282,a2),a2)+P6(x5281,f4(a21,x5282),a42)
% 3.69/3.83 [531]~P8(x5313,x5312,f44(a42,a1))+~P6(x5311,f19(x5313),a42)+E(f19(f38(x5311,x5312,a42)),f19(x5312))
% 3.69/3.83 [562]P6(x5621,f17(f19(x5622)),a42)+P6(f27(f31(x5621,x5623)),f19(x5622),a42)+~P6(f27(f31(x5621,x5623)),f17(f19(x5622)),a42)
% 3.69/3.83 [564]P6(x5641,f19(x5642),a42)+~P6(f28(x5643,x5641),f19(x5642),a42)+~P6(f33(a30,f33(a24,x5643)),f19(x5642),a42)
% 3.69/3.83 [577]~P6(x5773,a5,a40)+P6(x5771,f19(f4(a21,x5772)),a42)+~P6(f28(f33(a34,x5773),x5771),f19(f4(a21,x5772)),a42)
% 3.69/3.83 [578]P6(x5781,f19(x5782),a42)+~P6(f28(f33(a34,x5783),x5781),f19(x5782),a42)+~P6(f33(a30,f33(a34,x5783)),f19(x5782),a42)
% 3.69/3.83 [589]P6(x5891,f17(x5892),a42)+~P6(x5893,f17(x5892),a42)+~P6(x5891,f17(f38(x5893,x5892,a42)),a42)
% 3.69/3.83 [590]P6(x5901,f19(x5902),a42)+~P6(x5903,f19(x5902),a42)+~P6(x5901,f19(f38(x5903,x5902,a42)),a42)
% 3.69/3.83 [610]P6(x6101,f10(f17(f19(x6102)),f18(x6102),f44(a42,a1)),a42)+~P6(x6103,f17(f19(x6102)),a42)+~P6(x6101,f18(f38(x6103,x6102,a42)),a42)
% 3.69/3.83 [591]~P4(x5913)+~P6(x5912,f17(f19(f4(a21,x5913))),a42)+P4(f16(f8(a21,x5911,x5912),x5913,a2))
% 3.69/3.83 [606]P6(x6061,f18(x6062),a42)+P6(x6061,f18(x6063),a42)+~P6(x6061,f18(f10(x6062,x6063,f44(a42,a1))),a42)
% 3.69/3.83 [608]~P6(x6083,a35,f41(a2))+P6(f16(f8(a21,x6081,x6082),x6083,a2),a35,f41(a2))+~P6(x6082,f17(f19(f4(a21,x6083))),a42)
% 3.69/3.83 [451]~P8(x4513,x4511,f44(x4514,a1))+P17(f33(x4511,x4512))+~P17(f33(x4513,x4512))
% 3.69/3.83 [497]~P10(x4974)+~P8(x4971,x4973,x4974)+P8(x4971,f10(x4972,x4973,x4974),x4974)
% 3.69/3.83 [498]~P10(x4984)+~P8(x4981,x4982,x4984)+P8(x4981,f10(x4982,x4983,x4984),x4984)
% 3.69/3.83 [502]P6(x5021,x5022,x5023)+~P6(x5021,x5024,x5023)+~P8(x5024,x5022,f44(x5023,a1))
% 3.69/3.83 [523]E(x5231,x5232)+P6(x5231,x5233,x5234)+~P6(x5231,f38(x5232,x5233,x5234),x5234)
% 3.69/3.83 [525]~P10(x5253)+P8(x5251,x5252,x5253)+~P8(f10(x5254,x5251,x5253),x5252,x5253)
% 3.69/3.83 [527]~P10(x5273)+P8(x5271,x5272,x5273)+~P8(f10(x5271,x5274,x5273),x5272,x5273)
% 3.69/3.83 [529]~P8(x5291,x5294,f44(x5293,a1))+~P8(x5294,x5292,f44(x5293,a1))+P8(x5291,x5292,f44(x5293,a1))
% 3.69/3.83 [563]~P6(x5631,x5634,x5633)+~P8(x5632,x5634,f44(x5633,a1))+P8(f38(x5631,x5632,x5633),x5634,f44(x5633,a1))
% 3.69/3.83 [571]P6(x5711,x5712,x5713)+~P8(x5712,f38(x5711,x5714,x5713),f44(x5713,a1))+P8(x5712,x5714,f44(x5713,a1))
% 3.69/3.83 [569]E(x5691,x5692)+P17(f33(x5693,x5691))+~P17(f33(f38(x5692,x5693,x5694),x5691))
% 3.69/3.83 [573]P6(x5731,x5732,x5733)+P6(x5731,x5734,x5733)+~P6(x5731,f10(x5732,x5734,f44(x5733,a1)),x5733)
% 3.69/3.83 [580]~P8(x5801,x5804,f44(x5803,a1))+~P8(x5802,x5804,f44(x5803,a1))+P8(f10(x5801,x5802,f44(x5803,a1)),x5804,f44(x5803,a1))
% 3.69/3.83 [585]E(x5851,x5852)+P6(x5851,f22(x5853,x5854),x5854)+~P6(x5851,f22(f16(x5852,x5853,x5854),x5854),x5854)
% 3.69/3.83 [533]~E(f19(x5331),f19(x5333))+~E(f19(x5332),f19(x5334))+E(f19(f10(x5331,x5332,f44(a42,a1))),f19(f10(x5333,x5334,f44(a42,a1))))
% 3.69/3.83 [592]P17(f33(x5921,x5922))+P17(f33(x5923,x5922))+~P17(f33(f10(x5921,x5923,f44(x5924,a1)),x5922))
% 3.69/3.83 [614]~P6(x6144,f18(x6143),a42)+~P6(x6141,f18(f38(x6144,x6142,a42)),a42)+P6(x6141,f18(f10(x6142,x6143,f44(a42,a1))),a42)
% 3.69/3.83 [623]~P8(f19(x6232),f19(x6234),f44(a42,a1))+~P8(f19(x6231),f19(x6233),f44(a42,a1))+P8(f19(f10(x6231,x6232,f44(a42,a1))),f19(f10(x6233,x6234,f44(a42,a1))),f44(a42,a1))
% 3.69/3.83 [622]~P4(x6222)+P6(f29(x6221),f11(x6222),a42)+P4(f16(f8(x6223,a23,f31(f25(x6223),f31(f25(x6224),f29(x6221)))),x6222,a2))
% 3.69/3.83 [628]P6(f29(x6281),f11(x6282),a42)+~P6(x6282,a35,f41(a2))+P6(f16(f8(x6283,a23,f31(f25(x6283),f31(f25(x6284),f29(x6281)))),x6282,a2),a35,f41(a2))
% 3.69/3.83 [489]~P3(x4894)+P8(f33(x4891,x4892),f33(x4893,x4892),x4894)+~P8(x4891,x4893,f44(x4895,x4894))
% 3.69/3.83 [595]~P8(x5951,x5954,f44(x5953,a1))+~P8(x5952,x5955,f44(x5953,a1))+P8(f10(x5951,x5952,f44(x5953,a1)),f10(x5954,x5955,f44(x5953,a1)),f44(x5953,a1))
% 3.69/3.83 [626]~P6(x6262,x6265,x6266)+P6(f33(x6261,x6262),x6263,x6264)+~P8(f39(x6261,x6265,x6266,x6264),x6263,f44(x6264,a1))
% 3.69/3.83 [656]E(x6561,f33(a34,x6562))+~P6(x6563,a35,f41(a2))+~P6(f8(a23,x6562,f28(x6561,f31(x6564,f31(f25(x6565),f31(f33(a30,x6566),x6567))))),f22(x6563,a2),a2)
% 3.69/3.83 [657]~P6(x6575,a35,f41(a2))+E(x6571,f28(f33(a34,x6572),f31(f33(a30,x6573),f25(x6574))))+~P6(f8(a23,x6574,f28(x6576,f31(x6577,f31(f25(x6572),f31(f33(a30,x6573),x6571))))),f22(x6575,a2),a2)
% 3.69/3.83 [663]~P6(x6631,a35,f41(a2))+~P6(x6632,f39(a34,f36(f44(a40,a1)),a40,a43),a43)+~P6(f8(a23,x6633,f28(x6634,f31(x6635,f31(f25(x6636),f31(f33(a30,x6632),x6637))))),f22(x6631,a2),a2)
% 3.69/3.83 [596]~P6(x5961,f4(a21,x5962),a42)+P6(f8(f12(x5961,x5962),f13(x5961,x5962),x5961),f22(x5962,a2),a2)+P6(f7(f12(x5961,x5962),x5961),f22(x5962,a2),a2)+P6(x5961,f4(a21,f3(a2)),a42)
% 3.69/3.83 [582]~P6(x5821,a32,a43)+P6(f33(a30,x5821),f11(x5822),a42)+~P6(x5822,a35,f41(a2))+~P6(x5821,f26(f18(f4(a21,x5822))),a43)
% 3.69/3.83 [441]~P8(x4412,x4411,x4413)+~P8(x4411,x4412,x4413)+E(x4411,x4412)+~P9(x4413)
% 3.69/3.83 [565]~P6(f28(x5653,x5651),f19(x5652),a42)+P6(x5651,f19(x5652),a42)+~P6(x5653,a32,a43)+~P6(f33(a30,x5653),f19(x5652),a42)
% 3.69/3.83 [588]~P6(f33(a30,x5883),f19(x5882),a42)+~P6(f28(x5883,x5881),f17(f19(x5882)),a42)+P6(x5881,f17(f19(x5882)),a42)+~P6(f33(a30,f33(a24,x5883)),f19(x5882),a42)
% 3.69/3.83 [486]~P9(x4863)+~P8(x4861,x4864,x4863)+P8(x4861,x4862,x4863)+~P8(x4864,x4862,x4863)
% 3.69/3.83 [487]~P16(x4873)+~P8(x4871,x4874,x4873)+P8(x4871,x4872,x4873)+~P8(x4874,x4872,x4873)
% 3.69/3.83 [511]P6(x5113,x5111,x5114)+E(x5111,x5112)+P6(x5113,x5112,x5114)+~E(f38(x5113,x5111,x5114),f38(x5113,x5112,x5114))
% 3.69/3.83 [541]~P10(x5413)+~P8(x5412,x5414,x5413)+~P8(x5411,x5414,x5413)+P8(f10(x5411,x5412,x5413),x5414,x5413)
% 3.69/3.83 [609]~P8(x6093,x6092,f44(a42,a1))+P6(f33(a30,x6091),f19(x6092),a42)+~P6(x6094,f17(f19(x6093)),a42)+~P6(f33(a30,x6091),f19(f38(x6094,x6092,a42)),a42)
% 3.69/3.83 [640]~P6(x6404,f17(f19(x6402)),a42)+P6(f33(a30,f33(a24,x6401)),f18(x6402),a42)+~P6(x6401,f26(f18(f38(x6404,x6403,a42))),a43)+P6(x6401,f26(f18(f10(x6403,x6402,f44(a42,a1)))),a43)
% 3.69/3.83 [679]P6(x6791,a5,a40)+~P6(x6794,a35,f41(a2))+~P6(f28(f33(a34,x6791),f31(f33(a30,x6793),f25(x6792))),f18(f4(a21,x6794)),a42)+P6(f8(a23,x6792,f28(f33(a34,x6792),f31(f55(x6792,x6791,x6793,x6794),f31(f25(x6791),f31(f33(a30,x6793),f28(f33(a34,x6791),f31(f33(a30,x6793),f25(x6792)))))))),f22(x6794,a2),a2)
% 3.69/3.83 [644]P6(x6444,a5,a40)+~P6(x6445,a35,f41(a2))+E(x6441,f28(f33(a34,x6442),f31(f33(a30,x6443),f25(x6444))))+~P6(f28(f33(a34,x6444),f31(x6446,f31(f25(x6442),f31(f33(a30,x6443),x6441)))),f18(f4(a21,x6445)),a42)
% 3.69/3.83 [655]P6(x6551,a5,a40)+~P6(x6552,a35,f41(a2))+~P6(x6553,f39(a34,f36(f44(a40,a1)),a40,a43),a43)+~P6(f28(f33(a34,x6551),f31(x6554,f31(f25(x6555),f31(f33(a30,x6553),x6556)))),f18(f4(a21,x6552)),a42)
% 3.69/3.83 [660]P6(x6601,a5,a40)+~P6(x6606,a35,f41(a2))+~P6(f28(f33(a34,x6601),f31(x6602,f31(f25(x6603),f31(f33(a30,x6604),x6605)))),f18(f4(a21,x6606)),a42)+P6(f8(a23,x6601,f28(f33(a34,x6601),f31(x6602,f31(f25(x6603),f31(f33(a30,x6604),x6605))))),f22(x6606,a2),a2)
% 3.69/3.83 [658]~P6(x6585,a35,f41(a2))+P6(x6581,f19(f4(a21,x6585)),a42)+E(x6581,f28(f33(a34,x6582),f31(f33(a30,x6583),f25(x6584))))+~P6(f8(x6586,x6584,f28(f33(a34,x6584),f31(f29(x6587),f31(f25(x6582),f31(f33(a30,x6583),x6581))))),f22(x6585,a2),a2)
% 3.69/3.83 [665]~P6(x6652,a35,f41(a2))+P6(x6651,f19(f4(a21,x6652)),a42)+~P6(x6653,f39(a34,f36(f44(a40,a1)),a40,a43),a43)+~P6(f8(x6654,x6655,f28(f33(a34,x6655),f31(f29(x6656),f31(f25(x6657),f31(f33(a30,x6653),x6651))))),f22(x6652,a2),a2)
% 3.69/3.83 [668]~P4(x6684)+~P6(f8(x6685,x6686,f28(x6683,f29(x6682))),f22(x6684,a2),a2)+~P6(f8(a23,x6686,f28(f33(a34,x6686),f31(f29(x6681),f31(f25(x6685),f31(f33(a30,x6683),x6687))))),f22(x6684,a2),a2)+P4(f16(f7(a21,f31(f29(x6681),f31(f29(x6682),f33(a30,x6683)))),x6684,a2))
% 3.69/3.83 [671]~P6(x6714,a35,f41(a2))+~P6(f8(x6715,x6716,f28(x6713,f29(x6712))),f22(x6714,a2),a2)+P6(f16(f7(a21,f31(f29(x6711),f31(f29(x6712),f33(a30,x6713)))),x6714,a2),a35,f41(a2))+~P6(f8(a23,x6716,f28(f33(a34,x6716),f31(f29(x6711),f31(f25(x6715),f31(f33(a30,x6713),x6717))))),f22(x6714,a2),a2)
% 3.69/3.83 [674]E(x6741,x6742)+~P6(x6743,a35,f41(a2))+~P6(f8(a23,x6748,f28(f33(a34,x6748),f31(x6749,f31(f25(x67410),f31(f33(a30,x6747),x6742))))),f22(x6743,a2),a2)+~P6(f8(a23,x6744,f28(f33(a34,x6744),f31(x6745,f31(f25(x6746),f31(f33(a30,x6747),x6741))))),f22(x6743,a2),a2)
% 3.69/3.83 [675]E(x6751,x6752)+~P6(x6753,a35,f41(a2))+~P6(f8(a23,x6758,f28(f33(a34,x6758),f31(x6759,f31(f25(x6752),f31(f33(a30,x6756),x67510))))),f22(x6753,a2),a2)+~P6(f8(a23,x6754,f28(f33(a34,x6754),f31(x6755,f31(f25(x6751),f31(f33(a30,x6756),x6757))))),f22(x6753,a2),a2)
% 3.69/3.83 [676]E(x6761,x6762)+~P6(x6763,a35,f41(a2))+~P6(f8(a23,x6768,f28(f33(a34,x6768),f31(x6762,f31(f25(x6769),f31(f33(a30,x6766),x67610))))),f22(x6763,a2),a2)+~P6(f8(a23,x6764,f28(f33(a34,x6764),f31(x6761,f31(f25(x6765),f31(f33(a30,x6766),x6767))))),f22(x6763,a2),a2)
% 3.69/3.83 [677]E(x6771,x6772)+~P6(x6773,a35,f41(a2))+~P6(f8(a23,x6771,f28(f33(a34,x6771),f31(x6778,f31(f25(x6779),f31(f33(a30,x6776),x67710))))),f22(x6773,a2),a2)+~P6(f8(a23,x6772,f28(f33(a34,x6772),f31(x6774,f31(f25(x6775),f31(f33(a30,x6776),x6777))))),f22(x6773,a2),a2)
% 3.69/3.83 [638]E(x6381,x6382)+~P6(x6383,a35,f41(a2))+P6(f33(a30,x6381),f19(f4(a21,x6383)),a42)+P6(x6382,f39(a34,f36(f44(a40,a1)),a40,a43),a43)+~P6(f33(a30,x6381),f19(f38(f33(a30,x6382),f4(a21,x6383),a42)),a42)
% 3.69/3.83 [678]P6(x6781,x6782,a43)+~P8(x6782,f15(f39(a34,f36(f44(a40,a1)),a40,a43),f44(a43,a1)),f44(a43,a1))+~P6(x6783,a35,f41(a2))+P6(f33(a30,x6781),f19(f4(a21,x6783)),a42)+~P6(f33(a30,x6781),f19(f10(f39(a30,x6782,a43,a42),f4(a21,x6783),f44(a42,a1))),a42)
% 3.69/3.83 [641]~P4(x6412)+~P6(x6415,a32,a43)+P6(f29(x6411),f11(x6412),a42)+~P6(f8(x6416,x6413,f28(f33(a34,x6413),f31(f33(a30,x6415),f25(x6414)))),f22(x6412,a2),a2)+P4(f16(f8(x6413,x6414,f28(x6415,f29(x6411))),x6412,a2))
% 3.69/3.83 [645]~P6(x6455,a32,a43)+P6(f29(x6451),f11(x6452),a42)+~P6(x6452,a35,f41(a2))+~P6(f8(x6456,x6453,f28(f33(a34,x6453),f31(f33(a30,x6455),f25(x6454)))),f22(x6452,a2),a2)+P6(f16(f8(x6453,x6454,f28(x6455,f29(x6451))),x6452,a2),a35,f41(a2))
% 3.69/3.83 [682]~P4(x6822)+~P6(x6821,a32,a43)+P6(f33(a30,x6821),f11(x6822),a42)+~P6(f8(x6826,a23,f31(f25(x6823),f31(f25(x6825),f29(x6824)))),f22(x6822,a2),a2)+P4(f16(f8(a23,x6823,f28(f33(a34,x6823),f31(f29(x6824),f31(f25(x6825),f31(f33(a30,x6821),f28(f33(a34,x6825),f31(f33(a30,x6821),f25(x6823)))))))),x6822,a2))
% 3.69/3.83 [683]~P6(x6831,a32,a43)+P6(f33(a30,x6831),f11(x6832),a42)+~P6(x6832,a35,f41(a2))+~P6(f8(x6836,a23,f31(f25(x6833),f31(f25(x6835),f29(x6834)))),f22(x6832,a2),a2)+P6(f16(f8(a23,x6833,f28(f33(a34,x6833),f31(f29(x6834),f31(f25(x6835),f31(f33(a30,x6831),f28(f33(a34,x6835),f31(f33(a30,x6831),f25(x6833)))))))),x6832,a2),a35,f41(a2))
% 3.69/3.83 [661]~P6(x6612,a35,f41(a2))+~P6(f28(x6611,f29(x6615)),f18(f4(a21,x6612)),a42)+P6(f33(a30,x6611),f19(f4(a21,x6612)),a42)+P6(f8(x6613,x6614,f28(x6611,f29(x6615))),f22(x6612,a2),a2)+~P6(f8(a23,x6614,f28(f33(a34,x6614),f31(x6616,f31(f25(x6613),f31(f33(a30,x6611),x6617))))),f22(x6612,a2),a2)
% 3.69/3.83 [662]~P6(x6622,a35,f41(a2))+~P6(f28(x6621,f29(x6625)),f18(f4(a21,x6622)),a42)+P6(f8(f57(x6623,x6624,x6622),x6623,x6624),f22(x6622,a2),a2)+P6(f33(a30,x6621),f19(f4(a21,x6622)),a42)+~P6(f8(a23,x6626,f28(f33(a34,x6626),f31(x6627,f31(f25(x6623),f31(f33(a30,x6621),x6624))))),f22(x6622,a2),a2)
% 3.69/3.83 [664]~P4(x6644)+E(x6641,a23)+~P6(f8(x6641,a23,f31(f25(x6641),f31(f25(x6642),f29(x6645)))),f22(x6644,a2),a2)+P4(f16(f8(x6641,x6642,x6643),x6644,a2))+~P6(f8(x6646,x6641,f28(f33(a34,x6641),f31(f29(x6645),f31(f25(x6642),f31(f33(a30,x6647),x6643))))),f22(x6644,a2),a2)
% 3.69/3.83 [666]E(x6661,a23)+~P6(x6664,a35,f41(a2))+P6(f16(f8(x6661,x6662,x6663),x6664,a2),a35,f41(a2))+~P6(f8(x6661,a23,f31(f25(x6661),f31(f25(x6662),f29(x6665)))),f22(x6664,a2),a2)+~P6(f8(x6666,x6661,f28(f33(a34,x6661),f31(f29(x6665),f31(f25(x6662),f31(f33(a30,x6667),x6663))))),f22(x6664,a2),a2)
% 3.69/3.83 [667]~P4(x6675)+~P6(x6673,a32,a43)+~P6(f8(x6676,x6671,f28(x6673,f29(x6674))),f22(x6675,a2),a2)+~P6(f8(x6677,x6671,f28(f33(a34,x6671),f31(f29(x6678),f31(f25(x6672),f31(f33(a30,x6673),x6679))))),f22(x6675,a2),a2)+P4(f16(f8(x6671,x6672,f28(x6673,f31(f29(x6674),f29(x6674)))),x6675,a2))
% 3.69/3.83 [669]~P6(x6693,a32,a43)+~P6(x6695,a35,f41(a2))+~P6(f8(x6696,x6691,f28(x6693,f29(x6694))),f22(x6695,a2),a2)+P6(f16(f8(x6691,x6692,f28(x6693,f31(f29(x6694),f29(x6694)))),x6695,a2),a35,f41(a2))+~P6(f8(x6697,x6691,f28(f33(a34,x6691),f31(f29(x6698),f31(f25(x6692),f31(f33(a30,x6693),x6699))))),f22(x6695,a2),a2)
% 3.69/3.83 [613]E(x6131,a21)+~P6(x6132,f4(x6131,x6133),a42)+P6(f7(x6131,x6132),f22(x6133,a2),a2)+P6(f6(x6131,x6132),f22(x6133,a2),a2)+P6(f8(x6131,f14(x6131,x6132,x6133),x6132),f22(x6133,a2),a2)+P6(x6132,f4(x6131,f3(a2)),a42)
% 3.69/3.83 [625]P5(x6252,x6251,f28(x6253,f29(x6254)),x6255)+P6(x6251,a5,a40)+P6(x6252,a5,a40)+~P6(x6255,a35,f41(a2))+P6(f33(a30,x6253),f19(f4(a21,x6255)),a42)+~P6(f8(x6252,x6251,f28(x6253,f29(x6254))),f22(x6255,a2),a2)
% 3.69/3.83 [681]P6(x6811,a5,a40)+P6(x6812,a5,a40)+~P6(x6815,a35,f41(a2))+~P6(f33(a30,x6814),f19(f4(a21,x6815)),a42)+P6(f7(a21,f31(x6813,f31(f59(x6814,x6813,x6815),f33(a30,x6814)))),f22(x6815,a2),a2)+~P6(f8(a23,x6811,f28(f33(a34,x6811),f31(x6813,f31(f25(x6812),f31(f33(a30,x6814),f28(f33(a34,x6812),f31(f33(a30,x6814),f25(x6811)))))))),f22(x6815,a2),a2)
% 3.69/3.83 [680]P6(x6801,a5,a40)+~P6(x6803,a35,f41(a2))+P6(f33(a30,x6802),f19(f4(a21,x6803)),a42)+~P6(f28(x6802,f31(f29(x6805),f29(x6805))),f18(f4(a21,x6803)),a42)+P6(f8(x6804,x6801,f28(x6802,f31(f29(x6805),f29(x6805)))),f22(x6803,a2),a2)+~P6(f8(a23,x6804,f28(f33(a34,x6804),f31(x6806,f31(f25(x6801),f31(f33(a30,x6802),f28(f33(a34,x6801),f31(f33(a30,x6802),f25(x6804)))))))),f22(x6803,a2),a2)
% 3.69/3.83 [670]P6(x6701,a5,a40)+P6(x6702,a5,a40)+~P6(x6705,a35,f41(a2))+~P6(f33(a30,x6704),f19(f4(a21,x6705)),a42)+P6(f7(a21,f31(x6703,f31(f58(x6704,x6703,x6705),f33(a30,x6704)))),f22(x6705,a2),a2)+~P6(f8(a23,x6701,f28(x6706,f31(x6703,f31(f25(x6702),f31(f33(a30,x6704),x6707))))),f22(x6705,a2),a2)
% 3.69/3.83 [646]P6(x6461,a5,a40)+P6(x6462,a5,a40)+~P6(x6465,a35,f41(a2))+~P6(f28(x6463,f31(f29(x6464),f29(x6464))),f18(f4(a21,x6465)),a42)+~P6(f28(f33(a34,x6461),f31(f33(a30,x6463),f25(x6462))),f18(f4(a21,x6465)),a42)+P6(f8(x6462,x6461,f28(x6463,f31(f29(x6464),f29(x6464)))),f22(x6465,a2),a2)+P6(f7(a21,f31(f53(x6463,x6465),f31(f56(x6463,x6465),f33(a30,x6463)))),f22(x6465,a2),a2)
% 3.69/3.83 [659]P6(x6591,a5,a40)+P6(x6592,a5,a40)+~P6(x6595,a35,f41(a2))+~P6(f28(x6593,f29(x6594)),f18(f4(a21,x6595)),a42)+P6(f8(x6592,x6591,f28(x6593,f29(x6594))),f22(x6595,a2),a2)+P6(f7(a21,f31(x6596,f31(f54(x6593,x6596,x6595),f33(a30,x6593)))),f22(x6595,a2),a2)+~P6(f28(f33(a34,x6591),f31(x6596,f31(f25(x6592),f31(f33(a30,x6593),x6597)))),f18(f4(a21,x6595)),a42)
% 3.69/3.83 %EqnAxiom
% 3.69/3.83 [1]E(x11,x11)
% 3.69/3.83 [2]E(x22,x21)+~E(x21,x22)
% 3.69/3.83 [3]E(x31,x33)+~E(x31,x32)+~E(x32,x33)
% 3.69/3.83 [4]~E(x41,x42)+E(f3(x41),f3(x42))
% 3.69/3.83 [5]~E(x51,x52)+E(f17(x51),f17(x52))
% 3.69/3.83 [6]~E(x61,x62)+E(f22(x61,x63),f22(x62,x63))
% 3.69/3.83 [7]~E(x71,x72)+E(f22(x73,x71),f22(x73,x72))
% 3.69/3.83 [8]~E(x81,x82)+E(f7(x81,x83),f7(x82,x83))
% 3.69/3.83 [9]~E(x91,x92)+E(f7(x93,x91),f7(x93,x92))
% 3.69/3.83 [10]~E(x101,x102)+E(f18(x101),f18(x102))
% 3.69/3.83 [11]~E(x111,x112)+E(f28(x111,x113),f28(x112,x113))
% 3.69/3.83 [12]~E(x121,x122)+E(f28(x123,x121),f28(x123,x122))
% 3.69/3.83 [13]~E(x131,x132)+E(f29(x131),f29(x132))
% 3.69/3.83 [14]~E(x141,x142)+E(f19(x141),f19(x142))
% 3.69/3.83 [15]~E(x151,x152)+E(f41(x151),f41(x152))
% 3.69/3.83 [16]~E(x161,x162)+E(f44(x161,x163),f44(x162,x163))
% 3.69/3.83 [17]~E(x171,x172)+E(f44(x173,x171),f44(x173,x172))
% 3.69/3.83 [18]~E(x181,x182)+E(f16(x181,x183,x184),f16(x182,x183,x184))
% 3.69/3.83 [19]~E(x191,x192)+E(f16(x193,x191,x194),f16(x193,x192,x194))
% 3.69/3.83 [20]~E(x201,x202)+E(f16(x203,x204,x201),f16(x203,x204,x202))
% 3.69/3.83 [21]~E(x211,x212)+E(f33(x211,x213),f33(x212,x213))
% 3.69/3.83 [22]~E(x221,x222)+E(f33(x223,x221),f33(x223,x222))
% 3.69/3.83 [23]~E(x231,x232)+E(f8(x231,x233,x234),f8(x232,x233,x234))
% 3.69/3.83 [24]~E(x241,x242)+E(f8(x243,x241,x244),f8(x243,x242,x244))
% 3.69/3.83 [25]~E(x251,x252)+E(f8(x253,x254,x251),f8(x253,x254,x252))
% 3.69/3.83 [26]~E(x261,x262)+E(f37(x261),f37(x262))
% 3.69/3.83 [27]~E(x271,x272)+E(f10(x271,x273,x274),f10(x272,x273,x274))
% 3.69/3.83 [28]~E(x281,x282)+E(f10(x283,x281,x284),f10(x283,x282,x284))
% 3.69/3.83 [29]~E(x291,x292)+E(f10(x293,x294,x291),f10(x293,x294,x292))
% 3.69/3.83 [30]~E(x301,x302)+E(f39(x301,x303,x304,x305),f39(x302,x303,x304,x305))
% 3.69/3.83 [31]~E(x311,x312)+E(f39(x313,x311,x314,x315),f39(x313,x312,x314,x315))
% 3.69/3.83 [32]~E(x321,x322)+E(f39(x323,x324,x321,x325),f39(x323,x324,x322,x325))
% 3.69/3.83 [33]~E(x331,x332)+E(f39(x333,x334,x335,x331),f39(x333,x334,x335,x332))
% 3.69/3.83 [34]~E(x341,x342)+E(f31(x341,x343),f31(x342,x343))
% 3.69/3.83 [35]~E(x351,x352)+E(f31(x353,x351),f31(x353,x352))
% 3.69/3.83 [36]~E(x361,x362)+E(f20(x361,x363),f20(x362,x363))
% 3.69/3.83 [37]~E(x371,x372)+E(f20(x373,x371),f20(x373,x372))
% 3.69/3.83 [38]~E(x381,x382)+E(f25(x381),f25(x382))
% 3.69/3.83 [39]~E(x391,x392)+E(f11(x391),f11(x392))
% 3.69/3.83 [40]~E(x401,x402)+E(f38(x401,x403,x404),f38(x402,x403,x404))
% 3.69/3.83 [41]~E(x411,x412)+E(f38(x413,x411,x414),f38(x413,x412,x414))
% 3.69/3.83 [42]~E(x421,x422)+E(f38(x423,x424,x421),f38(x423,x424,x422))
% 3.69/3.83 [43]~E(x431,x432)+E(f27(x431),f27(x432))
% 3.69/3.83 [44]~E(x441,x442)+E(f36(x441),f36(x442))
% 3.69/3.83 [45]~E(x451,x452)+E(f6(x451,x453),f6(x452,x453))
% 3.69/3.83 [46]~E(x461,x462)+E(f6(x463,x461),f6(x463,x462))
% 3.69/3.83 [47]~E(x471,x472)+E(f4(x471,x473),f4(x472,x473))
% 3.69/3.83 [48]~E(x481,x482)+E(f4(x483,x481),f4(x483,x482))
% 3.69/3.83 [49]~E(x491,x492)+E(f15(x491,x493),f15(x492,x493))
% 3.69/3.83 [50]~E(x501,x502)+E(f15(x503,x501),f15(x503,x502))
% 3.69/3.83 [51]~E(x511,x512)+E(f9(x511,x513,x514),f9(x512,x513,x514))
% 3.69/3.83 [52]~E(x521,x522)+E(f9(x523,x521,x524),f9(x523,x522,x524))
% 3.69/3.83 [53]~E(x531,x532)+E(f9(x533,x534,x531),f9(x533,x534,x532))
% 3.69/3.83 [54]~E(x541,x542)+E(f26(x541),f26(x542))
% 3.69/3.83 [55]~E(x551,x552)+E(f56(x551,x553),f56(x552,x553))
% 3.69/3.83 [56]~E(x561,x562)+E(f56(x563,x561),f56(x563,x562))
% 3.69/3.83 [57]~E(x571,x572)+E(f53(x571,x573),f53(x572,x573))
% 3.69/3.83 [58]~E(x581,x582)+E(f53(x583,x581),f53(x583,x582))
% 3.69/3.84 [59]~E(x591,x592)+E(f55(x591,x593,x594,x595),f55(x592,x593,x594,x595))
% 3.69/3.84 [60]~E(x601,x602)+E(f55(x603,x601,x604,x605),f55(x603,x602,x604,x605))
% 3.69/3.84 [61]~E(x611,x612)+E(f55(x613,x614,x611,x615),f55(x613,x614,x612,x615))
% 3.69/3.84 [62]~E(x621,x622)+E(f55(x623,x624,x625,x621),f55(x623,x624,x625,x622))
% 3.69/3.84 [63]~E(x631,x632)+E(f12(x631,x633),f12(x632,x633))
% 3.69/3.84 [64]~E(x641,x642)+E(f12(x643,x641),f12(x643,x642))
% 3.69/3.84 [65]~E(x651,x652)+E(f54(x651,x653,x654),f54(x652,x653,x654))
% 3.69/3.84 [66]~E(x661,x662)+E(f54(x663,x661,x664),f54(x663,x662,x664))
% 3.69/3.84 [67]~E(x671,x672)+E(f54(x673,x674,x671),f54(x673,x674,x672))
% 3.69/3.84 [68]~E(x681,x682)+E(f59(x681,x683,x684),f59(x682,x683,x684))
% 3.69/3.84 [69]~E(x691,x692)+E(f59(x693,x691,x694),f59(x693,x692,x694))
% 3.69/3.84 [70]~E(x701,x702)+E(f59(x703,x704,x701),f59(x703,x704,x702))
% 3.69/3.84 [71]~E(x711,x712)+E(f58(x711,x713,x714),f58(x712,x713,x714))
% 3.69/3.84 [72]~E(x721,x722)+E(f58(x723,x721,x724),f58(x723,x722,x724))
% 3.69/3.84 [73]~E(x731,x732)+E(f58(x733,x734,x731),f58(x733,x734,x732))
% 3.69/3.84 [74]~E(x741,x742)+E(f14(x741,x743,x744),f14(x742,x743,x744))
% 3.69/3.84 [75]~E(x751,x752)+E(f14(x753,x751,x754),f14(x753,x752,x754))
% 3.69/3.84 [76]~E(x761,x762)+E(f14(x763,x764,x761),f14(x763,x764,x762))
% 3.69/3.84 [77]~E(x771,x772)+E(f57(x771,x773,x774),f57(x772,x773,x774))
% 3.69/3.84 [78]~E(x781,x782)+E(f57(x783,x781,x784),f57(x783,x782,x784))
% 3.69/3.84 [79]~E(x791,x792)+E(f57(x793,x794,x791),f57(x793,x794,x792))
% 3.69/3.84 [80]~E(x801,x802)+E(f52(x801,x803,x804,x805),f52(x802,x803,x804,x805))
% 3.69/3.84 [81]~E(x811,x812)+E(f52(x813,x811,x814,x815),f52(x813,x812,x814,x815))
% 3.69/3.84 [82]~E(x821,x822)+E(f52(x823,x824,x821,x825),f52(x823,x824,x822,x825))
% 3.69/3.84 [83]~E(x831,x832)+E(f52(x833,x834,x835,x831),f52(x833,x834,x835,x832))
% 3.69/3.84 [84]~E(x841,x842)+E(f13(x841,x843),f13(x842,x843))
% 3.69/3.84 [85]~E(x851,x852)+E(f13(x853,x851),f13(x853,x852))
% 3.69/3.84 [86]~P1(x861)+P1(x862)+~E(x861,x862)
% 3.69/3.84 [87]~P2(x871)+P2(x872)+~E(x871,x872)
% 3.69/3.84 [88]~P9(x881)+P9(x882)+~E(x881,x882)
% 3.69/3.84 [89]P6(x892,x893,x894)+~E(x891,x892)+~P6(x891,x893,x894)
% 3.69/3.84 [90]P6(x903,x902,x904)+~E(x901,x902)+~P6(x903,x901,x904)
% 3.69/3.84 [91]P6(x913,x914,x912)+~E(x911,x912)+~P6(x913,x914,x911)
% 3.69/3.84 [92]~P10(x921)+P10(x922)+~E(x921,x922)
% 3.69/3.84 [93]P8(x932,x933,x934)+~E(x931,x932)+~P8(x931,x933,x934)
% 3.69/3.84 [94]P8(x943,x942,x944)+~E(x941,x942)+~P8(x943,x941,x944)
% 3.69/3.84 [95]P8(x953,x954,x952)+~E(x951,x952)+~P8(x953,x954,x951)
% 3.69/3.84 [96]~P11(x961)+P11(x962)+~E(x961,x962)
% 3.69/3.84 [97]~P17(x971)+P17(x972)+~E(x971,x972)
% 3.69/3.84 [98]~P3(x981)+P3(x982)+~E(x981,x982)
% 3.69/3.84 [99]~P4(x991)+P4(x992)+~E(x991,x992)
% 3.69/3.84 [100]~P15(x1001)+P15(x1002)+~E(x1001,x1002)
% 3.69/3.84 [101]~P16(x1011)+P16(x1012)+~E(x1011,x1012)
% 3.69/3.84 [102]~P14(x1021)+P14(x1022)+~E(x1021,x1022)
% 3.69/3.84 [103]~P12(x1031)+P12(x1032)+~E(x1031,x1032)
% 3.69/3.84 [104]P5(x1042,x1043,x1044,x1045)+~E(x1041,x1042)+~P5(x1041,x1043,x1044,x1045)
% 3.69/3.84 [105]P5(x1053,x1052,x1054,x1055)+~E(x1051,x1052)+~P5(x1053,x1051,x1054,x1055)
% 3.69/3.84 [106]P5(x1063,x1064,x1062,x1065)+~E(x1061,x1062)+~P5(x1063,x1064,x1061,x1065)
% 3.69/3.84 [107]P5(x1073,x1074,x1075,x1072)+~E(x1071,x1072)+~P5(x1073,x1074,x1075,x1071)
% 3.69/3.84 [108]~P13(x1081)+P13(x1082)+~E(x1081,x1082)
% 3.69/3.84 [109]P7(x1092,x1093,x1094)+~E(x1091,x1092)+~P7(x1091,x1093,x1094)
% 3.69/3.84 [110]P7(x1103,x1102,x1104)+~E(x1101,x1102)+~P7(x1103,x1101,x1104)
% 3.69/3.84 [111]P7(x1113,x1114,x1112)+~E(x1111,x1112)+~P7(x1113,x1114,x1111)
% 3.69/3.84
% 3.69/3.84 %-------------------------------------------
% 3.69/3.84 cnf(684,plain,
% 3.69/3.84 (E(x6841,f20(f20(x6841,x6842),x6842))),
% 3.69/3.84 inference(scs_inference,[],[137,2])).
% 3.69/3.84 cnf(689,plain,
% 3.69/3.84 (~P6(f29(x6891),f4(x6892,f3(a2)),a42)),
% 3.69/3.84 inference(scs_inference,[],[280,334,137,335,2,388,409,408])).
% 3.69/3.84 cnf(700,plain,
% 3.69/3.84 (P6(x7001,f22(f9(x7002,f16(x7001,x7003,x7004),x7004),x7004),x7004)),
% 3.69/3.84 inference(rename_variables,[],[265])).
% 3.69/3.84 cnf(702,plain,
% 3.69/3.84 (P6(x7021,f18(f4(a21,f9(x7022,f16(f8(x7023,x7024,f28(x7025,f31(x7026,f31(x7027,f31(x7028,x7021))))),x7029,a2),a2))),a42)),
% 3.69/3.84 inference(scs_inference,[],[280,334,172,137,213,265,700,313,335,2,388,409,408,21,478,415,400,643,639])).
% 3.69/3.84 cnf(703,plain,
% 3.69/3.84 (P6(x7031,f22(f9(x7032,f16(x7031,x7033,x7034),x7034),x7034),x7034)),
% 3.69/3.84 inference(rename_variables,[],[265])).
% 3.69/3.84 cnf(708,plain,
% 3.69/3.84 (~P6(f29(x7081),f18(f4(x7082,f3(a2))),a42)),
% 3.69/3.84 inference(rename_variables,[],[335])).
% 3.69/3.84 cnf(711,plain,
% 3.69/3.84 (P6(x7111,f22(f9(x7112,f16(x7111,x7113,x7114),x7114),x7114),x7114)),
% 3.69/3.84 inference(rename_variables,[],[265])).
% 3.69/3.84 cnf(713,plain,
% 3.69/3.84 (P6(x7131,f19(f38(x7131,x7132,a42)),a42)),
% 3.69/3.84 inference(scs_inference,[],[280,334,172,160,137,213,265,700,703,313,335,2,388,409,408,21,478,415,400,643,639,561,560,547,546])).
% 3.69/3.84 cnf(714,plain,
% 3.69/3.84 (P8(x7141,f19(x7141),f44(a42,a1))),
% 3.69/3.84 inference(rename_variables,[],[160])).
% 3.69/3.84 cnf(716,plain,
% 3.69/3.84 (P6(x7161,f11(f9(x7162,f16(f7(x7163,x7161),x7164,a2),a2)),a42)),
% 3.69/3.84 inference(scs_inference,[],[280,334,172,160,137,213,265,700,703,711,313,335,2,388,409,408,21,478,415,400,643,639,561,560,547,546,474])).
% 3.69/3.84 cnf(717,plain,
% 3.69/3.84 (P6(x7171,f22(f9(x7172,f16(x7171,x7173,x7174),x7174),x7174),x7174)),
% 3.69/3.84 inference(rename_variables,[],[265])).
% 3.69/3.84 cnf(734,plain,
% 3.69/3.84 (~E(f16(x7341,x7342,x7343),x7342)),
% 3.69/3.84 inference(rename_variables,[],[319])).
% 3.69/3.84 cnf(737,plain,
% 3.69/3.84 (~E(f16(x7371,x7372,x7373),x7372)),
% 3.69/3.84 inference(rename_variables,[],[319])).
% 3.69/3.84 cnf(740,plain,
% 3.69/3.84 (P6(f25(x7401),f17(x7402),a42)),
% 3.69/3.84 inference(rename_variables,[],[151])).
% 3.69/3.84 cnf(743,plain,
% 3.69/3.84 (P8(x7431,f19(x7431),f44(a42,a1))),
% 3.69/3.84 inference(rename_variables,[],[160])).
% 3.69/3.84 cnf(746,plain,
% 3.69/3.84 (P8(x7461,f19(x7461),f44(a42,a1))),
% 3.69/3.84 inference(rename_variables,[],[160])).
% 3.69/3.84 cnf(749,plain,
% 3.69/3.84 (P8(x7491,f19(x7491),f44(a42,a1))),
% 3.69/3.84 inference(rename_variables,[],[160])).
% 3.69/3.84 cnf(754,plain,
% 3.69/3.84 (~E(f16(x7541,x7542,x7543),x7542)),
% 3.69/3.84 inference(rename_variables,[],[319])).
% 3.69/3.84 cnf(757,plain,
% 3.69/3.84 (~E(f16(x7571,x7572,x7573),x7572)),
% 3.69/3.84 inference(rename_variables,[],[319])).
% 3.69/3.84 cnf(760,plain,
% 3.69/3.84 (~E(f16(x7601,x7602,x7603),x7602)),
% 3.69/3.84 inference(rename_variables,[],[319])).
% 3.69/3.84 cnf(763,plain,
% 3.69/3.84 (P6(f25(x7631),f17(x7632),a42)),
% 3.69/3.84 inference(rename_variables,[],[151])).
% 3.69/3.84 cnf(766,plain,
% 3.69/3.84 (P6(x7661,f22(f9(x7662,f16(x7661,x7663,x7664),x7664),x7664),x7664)),
% 3.69/3.84 inference(rename_variables,[],[265])).
% 3.69/3.84 cnf(769,plain,
% 3.69/3.84 (P6(x7691,f22(f9(x7692,f16(x7691,x7693,x7694),x7694),x7694),x7694)),
% 3.69/3.84 inference(rename_variables,[],[265])).
% 3.69/3.84 cnf(776,plain,
% 3.69/3.84 (~E(f16(x7761,x7762,x7763),x7762)),
% 3.69/3.84 inference(rename_variables,[],[319])).
% 3.69/3.84 cnf(782,plain,
% 3.69/3.84 (~E(f16(x7821,x7822,x7823),x7822)),
% 3.69/3.84 inference(rename_variables,[],[319])).
% 3.69/3.84 cnf(790,plain,
% 3.69/3.84 (P8(x7901,x7901,f44(x7902,a1))),
% 3.69/3.84 inference(rename_variables,[],[156])).
% 3.69/3.84 cnf(791,plain,
% 3.69/3.84 (E(f20(f20(x7911,x7912),x7912),x7911)),
% 3.69/3.84 inference(rename_variables,[],[137])).
% 3.69/3.84 cnf(793,plain,
% 3.69/3.84 (P8(x7931,x7931,f44(x7932,a1))),
% 3.69/3.84 inference(rename_variables,[],[156])).
% 3.69/3.84 cnf(797,plain,
% 3.69/3.84 (~P6(f28(x7971,x7972),f39(a30,x7973,a43,a42),a42)),
% 3.69/3.84 inference(rename_variables,[],[341])).
% 3.69/3.84 cnf(801,plain,
% 3.69/3.84 (E(f20(f20(x8011,x8012),x8012),x8011)),
% 3.69/3.84 inference(rename_variables,[],[137])).
% 3.69/3.84 cnf(803,plain,
% 3.69/3.84 (P8(x8031,f38(x8032,x8031,x8033),f44(x8033,a1))),
% 3.69/3.84 inference(rename_variables,[],[193])).
% 3.69/3.84 cnf(806,plain,
% 3.69/3.84 (P8(x8061,f19(x8061),f44(a42,a1))),
% 3.69/3.84 inference(rename_variables,[],[160])).
% 3.69/3.84 cnf(812,plain,
% 3.69/3.84 (P6(x8121,f22(f9(x8122,f16(x8121,x8123,x8124),x8124),x8124),x8124)),
% 3.69/3.84 inference(rename_variables,[],[265])).
% 3.69/3.84 cnf(813,plain,
% 3.69/3.84 (P6(f33(x8131,x8132),f39(x8131,f36(f44(x8133,a1)),x8133,x8134),x8134)),
% 3.69/3.84 inference(rename_variables,[],[264])).
% 3.69/3.84 cnf(819,plain,
% 3.69/3.84 (P6(f33(a34,x8191),a32,a43)),
% 3.69/3.84 inference(rename_variables,[],[154])).
% 3.69/3.84 cnf(824,plain,
% 3.69/3.84 (P6(x8241,f22(f9(x8242,f16(x8241,x8243,x8244),x8244),x8244),x8244)),
% 3.69/3.84 inference(rename_variables,[],[265])).
% 3.69/3.84 cnf(825,plain,
% 3.69/3.84 (~E(f16(x8251,x8252,x8253),x8252)),
% 3.69/3.84 inference(rename_variables,[],[319])).
% 3.69/3.84 cnf(828,plain,
% 3.69/3.84 (P6(f25(x8281),f17(x8282),a42)),
% 3.69/3.84 inference(rename_variables,[],[151])).
% 3.69/3.84 cnf(833,plain,
% 3.69/3.84 (P6(x8331,f38(x8331,x8332,x8333),x8333)),
% 3.69/3.84 inference(rename_variables,[],[186])).
% 3.69/3.84 cnf(834,plain,
% 3.69/3.84 (P6(f25(x8341),f17(x8342),a42)),
% 3.69/3.84 inference(rename_variables,[],[151])).
% 3.69/3.84 cnf(837,plain,
% 3.69/3.84 (P6(x8371,f22(f9(x8372,f16(x8371,x8373,x8374),x8374),x8374),x8374)),
% 3.69/3.84 inference(rename_variables,[],[265])).
% 3.69/3.84 cnf(845,plain,
% 3.69/3.84 (~P6(f28(x8451,x8452),f39(a30,x8453,a43,a42),a42)),
% 3.69/3.84 inference(rename_variables,[],[341])).
% 3.69/3.84 cnf(889,plain,
% 3.69/3.84 (P10(f44(x8891,a1))),
% 3.69/3.84 inference(scs_inference,[],[143,142,316,115,116,117,118,119,120,121,122,123,124,125,140,280,334,172,271,186,156,790,793,319,734,737,754,757,760,776,782,154,819,160,714,743,746,749,193,151,740,763,828,339,340,341,797,137,791,213,173,265,700,703,711,717,766,769,812,824,331,313,337,264,335,708,336,257,2,388,409,408,21,478,415,400,643,639,561,560,547,546,474,448,447,446,445,443,442,420,394,393,631,575,574,554,520,399,398,352,593,553,488,630,566,437,436,522,109,103,101,98,96,94,93,92,91,90,89,88,3,502,492,567,663,509,503,528,656,608,626,519,490,563,475,507,655,644,381,380,594,581,556,485,425,424,423,422,421,416,407,385,382,360,359,358,357,356])).
% 3.69/3.84 cnf(891,plain,
% 3.69/3.84 (P9(f44(x8911,a1))),
% 3.69/3.84 inference(scs_inference,[],[143,142,316,114,115,116,117,118,119,120,121,122,123,124,125,140,280,334,172,271,186,156,790,793,319,734,737,754,757,760,776,782,154,819,160,714,743,746,749,193,151,740,763,828,339,340,341,797,137,791,213,173,265,700,703,711,717,766,769,812,824,331,313,337,264,335,708,336,257,2,388,409,408,21,478,415,400,643,639,561,560,547,546,474,448,447,446,445,443,442,420,394,393,631,575,574,554,520,399,398,352,593,553,488,630,566,437,436,522,109,103,101,98,96,94,93,92,91,90,89,88,3,502,492,567,663,509,503,528,656,608,626,519,490,563,475,507,655,644,381,380,594,581,556,485,425,424,423,422,421,416,407,385,382,360,359,358,357,356,355])).
% 3.69/3.84 cnf(1007,plain,
% 3.69/3.84 (P6(f28(a46,f29(a49)),f18(f38(x10071,f4(a21,a45),a42)),a42)),
% 3.69/3.84 inference(scs_inference,[],[143,142,316,112,113,114,115,116,117,118,119,120,121,122,123,124,125,140,280,334,172,271,186,833,156,790,793,319,734,737,754,757,760,776,782,154,819,160,714,743,746,749,193,151,740,763,828,339,340,341,797,137,791,801,332,213,173,265,700,703,711,717,766,769,812,824,331,313,337,264,335,708,336,204,257,2,388,409,408,21,478,415,400,643,639,561,560,547,546,474,448,447,446,445,443,442,420,394,393,631,575,574,554,520,399,398,352,593,553,488,630,566,437,436,522,109,103,101,98,96,94,93,92,91,90,89,88,3,502,492,567,663,509,503,528,656,608,626,519,490,563,475,507,655,644,381,380,594,581,556,485,425,424,423,422,421,416,407,385,382,360,359,358,357,356,355,354,353,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,654,653,648,642,624,621,620,619,618,587,586,584,576,549,548])).
% 3.69/3.84 cnf(1035,plain,
% 3.69/3.84 (~P6(f29(x10351),f18(f18(f4(x10352,f3(a2)))),a42)),
% 3.69/3.84 inference(scs_inference,[],[143,142,316,112,113,114,115,116,117,118,119,120,121,122,123,124,125,140,280,334,172,271,186,833,156,790,793,319,734,737,754,757,760,776,782,154,819,160,714,743,746,749,193,151,740,763,828,339,340,341,797,137,791,801,332,213,173,265,700,703,711,717,766,769,812,824,331,313,337,264,335,708,336,204,257,2,388,409,408,21,478,415,400,643,639,561,560,547,546,474,448,447,446,445,443,442,420,394,393,631,575,574,554,520,399,398,352,593,553,488,630,566,437,436,522,109,103,101,98,96,94,93,92,91,90,89,88,3,502,492,567,663,509,503,528,656,608,626,519,490,563,475,507,655,644,381,380,594,581,556,485,425,424,423,422,421,416,407,385,382,360,359,358,357,356,355,354,353,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,654,653,648,642,624,621,620,619,618,587,586,584,576,549,548,518,517,512,494,438,435,434,433,432,431,430,429,428,427])).
% 3.69/3.84 cnf(1139,plain,
% 3.69/3.84 (P6(f25(x11391),f17(x11392),a42)),
% 3.69/3.84 inference(rename_variables,[],[151])).
% 3.69/3.84 cnf(1169,plain,
% 3.69/3.84 (~P8(f15(f18(f4(x11691,f3(a2))),f44(a42,a1)),f15(f4(a21,a45),f44(a42,a1)),f44(a42,a1))),
% 3.69/3.84 inference(scs_inference,[],[143,142,316,112,113,114,115,116,117,118,119,120,121,122,123,124,125,140,280,334,172,271,186,833,156,790,793,319,734,737,754,757,760,776,782,154,819,160,714,743,746,749,806,159,193,158,151,740,763,828,834,339,340,341,797,137,791,801,332,213,161,173,131,265,700,703,711,717,766,769,812,824,837,331,313,337,264,335,708,336,240,238,204,257,2,388,409,408,21,478,415,400,643,639,561,560,547,546,474,448,447,446,445,443,442,420,394,393,631,575,574,554,520,399,398,352,593,553,488,630,566,437,436,522,109,103,101,98,96,94,93,92,91,90,89,88,3,502,492,567,663,509,503,528,656,608,626,519,490,563,475,507,655,644,381,380,594,581,556,485,425,424,423,422,421,416,407,385,382,360,359,358,357,356,355,354,353,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,654,653,648,642,624,621,620,619,618,587,586,584,576,549,548,518,517,512,494,438,435,434,433,432,431,430,429,428,427,426,405,403,402,401,384,383,375,372,371,370,369,368,367,366,365,364,363,362,361,350,349,348,482,459,458,457,456,605,552,495,477,476,473,472,471,466,465,464,463,462,444,417,406,390,389,387,386,558,557,538,537,536,535,534,516,483,461,460,454,453,452,633,617,601,572])).
% 3.69/3.84 cnf(1178,plain,
% 3.69/3.84 (~E(a1,x11781)+P15(x11781)),
% 3.69/3.84 inference(scs_inference,[],[143,142,316,112,113,114,115,116,117,118,119,120,121,122,123,124,125,140,280,338,334,172,271,186,833,156,790,793,319,734,737,754,757,760,776,782,154,819,160,714,743,746,749,806,159,193,158,151,740,763,828,834,339,340,341,797,137,791,801,148,149,157,134,332,213,161,173,131,265,700,703,711,717,766,769,812,824,837,331,313,337,264,335,708,336,240,238,204,257,2,388,409,408,21,478,415,400,643,639,561,560,547,546,474,448,447,446,445,443,442,420,394,393,631,575,574,554,520,399,398,352,593,553,488,630,566,437,436,522,109,103,101,98,96,94,93,92,91,90,89,88,3,502,492,567,663,509,503,528,656,608,626,519,490,563,475,507,655,644,381,380,594,581,556,485,425,424,423,422,421,416,407,385,382,360,359,358,357,356,355,354,353,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,654,653,648,642,624,621,620,619,618,587,586,584,576,549,548,518,517,512,494,438,435,434,433,432,431,430,429,428,427,426,405,403,402,401,384,383,375,372,371,370,369,368,367,366,365,364,363,362,361,350,349,348,482,459,458,457,456,605,552,495,477,476,473,472,471,466,465,464,463,462,444,417,406,390,389,387,386,558,557,538,537,536,535,534,516,483,461,460,454,453,452,633,617,601,572,543,110,107,106,105,104,100])).
% 3.69/3.84 cnf(1181,plain,
% 3.69/3.84 (~P6(f33(a30,f33(a34,a47)),f19(f4(a21,a45)),a42)),
% 3.69/3.84 inference(scs_inference,[],[143,142,316,112,113,114,115,116,117,118,119,120,121,122,123,124,125,140,280,338,334,172,271,186,833,156,790,793,319,734,737,754,757,760,776,782,154,819,160,714,743,746,749,806,159,193,158,151,740,763,828,834,339,340,341,797,137,791,801,148,149,157,134,332,213,161,173,131,265,700,703,711,717,766,769,812,824,837,331,313,337,264,166,335,708,336,240,238,204,257,2,388,409,408,21,478,415,400,643,639,561,560,547,546,474,448,447,446,445,443,442,420,394,393,631,575,574,554,520,399,398,352,593,553,488,630,566,437,436,522,109,103,101,98,96,94,93,92,91,90,89,88,3,502,492,567,663,509,503,528,656,608,626,519,490,563,475,507,655,644,381,380,594,581,556,485,425,424,423,422,421,416,407,385,382,360,359,358,357,356,355,354,353,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,654,653,648,642,624,621,620,619,618,587,586,584,576,549,548,518,517,512,494,438,435,434,433,432,431,430,429,428,427,426,405,403,402,401,384,383,375,372,371,370,369,368,367,366,365,364,363,362,361,350,349,348,482,459,458,457,456,605,552,495,477,476,473,472,471,466,465,464,463,462,444,417,406,390,389,387,386,558,557,538,537,536,535,534,516,483,461,460,454,453,452,633,617,601,572,543,110,107,106,105,104,100,97,95,568])).
% 3.69/3.84 cnf(1183,plain,
% 3.69/3.84 (P6(f33(a30,f33(a34,a21)),f19(f4(a21,a45)),a42)),
% 3.69/3.84 inference(scs_inference,[],[143,142,316,112,113,114,115,116,117,118,119,120,121,122,123,124,125,140,280,338,334,172,271,186,833,156,790,793,319,734,737,754,757,760,776,782,154,819,160,714,743,746,749,806,159,193,158,151,740,763,828,834,339,340,341,797,137,791,801,148,149,157,134,332,213,161,173,131,265,700,703,711,717,766,769,812,824,837,331,313,337,264,166,335,708,336,240,238,204,257,2,388,409,408,21,478,415,400,643,639,561,560,547,546,474,448,447,446,445,443,442,420,394,393,631,575,574,554,520,399,398,352,593,553,488,630,566,437,436,522,109,103,101,98,96,94,93,92,91,90,89,88,3,502,492,567,663,509,503,528,656,608,626,519,490,563,475,507,655,644,381,380,594,581,556,485,425,424,423,422,421,416,407,385,382,360,359,358,357,356,355,354,353,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,654,653,648,642,624,621,620,619,618,587,586,584,576,549,548,518,517,512,494,438,435,434,433,432,431,430,429,428,427,426,405,403,402,401,384,383,375,372,371,370,369,368,367,366,365,364,363,362,361,350,349,348,482,459,458,457,456,605,552,495,477,476,473,472,471,466,465,464,463,462,444,417,406,390,389,387,386,558,557,538,537,536,535,534,516,483,461,460,454,453,452,633,617,601,572,543,110,107,106,105,104,100,97,95,568,545])).
% 3.69/3.84 cnf(1187,plain,
% 3.69/3.84 (~P8(f10(f4(a21,a45),x11871,f44(a42,a1)),f18(f4(x11872,f3(a2))),f44(a42,a1))),
% 3.69/3.84 inference(scs_inference,[],[143,142,316,112,113,114,115,116,117,118,119,120,121,122,123,124,125,140,280,338,334,172,271,186,833,156,790,793,319,734,737,754,757,760,776,782,154,819,160,714,743,746,749,806,159,193,158,151,740,763,828,834,339,340,341,797,137,791,801,148,149,157,134,332,213,161,173,131,265,700,703,711,717,766,769,812,824,837,331,313,337,264,166,335,708,336,240,238,204,257,2,388,409,408,21,478,415,400,643,639,561,560,547,546,474,448,447,446,445,443,442,420,394,393,631,575,574,554,520,399,398,352,593,553,488,630,566,437,436,522,109,103,101,98,96,94,93,92,91,90,89,88,3,502,492,567,663,509,503,528,656,608,626,519,490,563,475,507,655,644,381,380,594,581,556,485,425,424,423,422,421,416,407,385,382,360,359,358,357,356,355,354,353,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,654,653,648,642,624,621,620,619,618,587,586,584,576,549,548,518,517,512,494,438,435,434,433,432,431,430,429,428,427,426,405,403,402,401,384,383,375,372,371,370,369,368,367,366,365,364,363,362,361,350,349,348,482,459,458,457,456,605,552,495,477,476,473,472,471,466,465,464,463,462,444,417,406,390,389,387,386,558,557,538,537,536,535,534,516,483,461,460,454,453,452,633,617,601,572,543,110,107,106,105,104,100,97,95,568,545,544,527])).
% 3.69/3.84 cnf(1193,plain,
% 3.69/3.84 (~P8(f10(f39(a30,f38(a46,x11931,a43),a43,a42),x11932,f44(a42,a1)),f19(f4(a21,a45)),f44(a42,a1))),
% 3.69/3.84 inference(scs_inference,[],[143,142,316,112,113,114,115,116,117,118,119,120,121,122,123,124,125,140,280,315,338,334,172,271,186,833,156,790,793,319,734,737,754,757,760,776,782,154,819,160,714,743,746,749,806,159,193,158,151,740,763,828,834,339,340,341,797,137,791,801,148,149,157,134,332,213,161,173,131,265,700,703,711,717,766,769,812,824,837,331,313,337,264,166,335,708,336,240,238,204,257,2,388,409,408,21,478,415,400,643,639,561,560,547,546,474,448,447,446,445,443,442,420,394,393,631,575,574,554,520,399,398,352,593,553,488,630,566,437,436,522,109,103,101,98,96,94,93,92,91,90,89,88,3,502,492,567,663,509,503,528,656,608,626,519,490,563,475,507,655,644,381,380,594,581,556,485,425,424,423,422,421,416,407,385,382,360,359,358,357,356,355,354,353,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,654,653,648,642,624,621,620,619,618,587,586,584,576,549,548,518,517,512,494,438,435,434,433,432,431,430,429,428,427,426,405,403,402,401,384,383,375,372,371,370,369,368,367,366,365,364,363,362,361,350,349,348,482,459,458,457,456,605,552,495,477,476,473,472,471,466,465,464,463,462,444,417,406,390,389,387,386,558,557,538,537,536,535,534,516,483,461,460,454,453,452,633,617,601,572,543,110,107,106,105,104,100,97,95,568,545,544,527,525,523,510])).
% 3.69/3.84 cnf(1195,plain,
% 3.69/3.84 (~P8(f18(f4(a21,a45)),f17(f39(a30,x11951,a43,a42)),f44(a42,a1))),
% 3.69/3.84 inference(scs_inference,[],[143,142,316,112,113,114,115,116,117,118,119,120,121,122,123,124,125,140,280,315,338,334,172,271,186,833,156,790,793,319,734,737,754,757,760,776,782,154,819,160,714,743,746,749,806,159,193,158,151,740,763,828,834,339,340,341,797,137,791,801,148,149,157,134,332,213,161,173,131,265,700,703,711,717,766,769,812,824,837,331,313,337,264,166,335,708,336,240,238,204,257,2,388,409,408,21,478,415,400,643,639,561,560,547,546,474,448,447,446,445,443,442,420,394,393,631,575,574,554,520,399,398,352,593,553,488,630,566,437,436,522,109,103,101,98,96,94,93,92,91,90,89,88,3,502,492,567,663,509,503,528,656,608,626,519,490,563,475,507,655,644,381,380,594,581,556,485,425,424,423,422,421,416,407,385,382,360,359,358,357,356,355,354,353,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,654,653,648,642,624,621,620,619,618,587,586,584,576,549,548,518,517,512,494,438,435,434,433,432,431,430,429,428,427,426,405,403,402,401,384,383,375,372,371,370,369,368,367,366,365,364,363,362,361,350,349,348,482,459,458,457,456,605,552,495,477,476,473,472,471,466,465,464,463,462,444,417,406,390,389,387,386,558,557,538,537,536,535,534,516,483,461,460,454,453,452,633,617,601,572,543,110,107,106,105,104,100,97,95,568,545,544,527,525,523,510,508])).
% 3.69/3.84 cnf(1215,plain,
% 3.69/3.84 (P6(f25(x12151),f17(x12152),a42)),
% 3.69/3.84 inference(rename_variables,[],[151])).
% 3.69/3.84 cnf(1224,plain,
% 3.69/3.84 (P6(f16(f8(x12241,a23,f31(f25(x12241),f31(f25(x12242),f29(x12243)))),f3(a2),a2),a35,f41(a2))),
% 3.69/3.85 inference(scs_inference,[],[143,142,316,112,113,114,115,116,117,118,119,120,121,122,123,124,125,140,280,315,126,144,338,334,172,271,186,833,156,790,793,319,734,737,754,757,760,776,782,154,819,160,714,743,746,749,806,159,193,803,158,327,151,740,763,828,834,1139,339,340,341,797,137,791,801,148,149,157,134,332,213,161,173,131,265,700,703,711,717,766,769,812,824,837,331,313,337,264,166,335,708,336,240,238,204,257,2,388,409,408,21,478,415,400,643,639,561,560,547,546,474,448,447,446,445,443,442,420,394,393,631,575,574,554,520,399,398,352,593,553,488,630,566,437,436,522,109,103,101,98,96,94,93,92,91,90,89,88,3,502,492,567,663,509,503,528,656,608,626,519,490,563,475,507,655,644,381,380,594,581,556,485,425,424,423,422,421,416,407,385,382,360,359,358,357,356,355,354,353,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,654,653,648,642,624,621,620,619,618,587,586,584,576,549,548,518,517,512,494,438,435,434,433,432,431,430,429,428,427,426,405,403,402,401,384,383,375,372,371,370,369,368,367,366,365,364,363,362,361,350,349,348,482,459,458,457,456,605,552,495,477,476,473,472,471,466,465,464,463,462,444,417,406,390,389,387,386,558,557,538,537,536,535,534,516,483,461,460,454,453,452,633,617,601,572,543,110,107,106,105,104,100,97,95,568,545,544,527,525,523,510,508,606,577,573,489,411,378,531,614,591,622,585,529,628])).
% 3.69/3.85 cnf(1229,plain,
% 3.69/3.85 (~P6(f29(a49),f17(f38(f25(x12291),f39(a30,x12292,a43,a42),a42)),a42)),
% 3.69/3.85 inference(scs_inference,[],[143,142,316,112,113,114,115,116,117,118,119,120,121,122,123,124,125,140,280,315,126,144,338,334,172,271,186,833,156,790,793,319,734,737,754,757,760,776,782,154,819,160,714,743,746,749,806,159,193,803,158,327,151,740,763,828,834,1139,1215,339,340,341,797,137,791,801,148,149,157,134,332,213,161,173,131,265,700,703,711,717,766,769,812,824,837,331,313,337,264,166,335,708,336,240,238,204,257,2,388,409,408,21,478,415,400,643,639,561,560,547,546,474,448,447,446,445,443,442,420,394,393,631,575,574,554,520,399,398,352,593,553,488,630,566,437,436,522,109,103,101,98,96,94,93,92,91,90,89,88,3,502,492,567,663,509,503,528,656,608,626,519,490,563,475,507,655,644,381,380,594,581,556,485,425,424,423,422,421,416,407,385,382,360,359,358,357,356,355,354,353,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,654,653,648,642,624,621,620,619,618,587,586,584,576,549,548,518,517,512,494,438,435,434,433,432,431,430,429,428,427,426,405,403,402,401,384,383,375,372,371,370,369,368,367,366,365,364,363,362,361,350,349,348,482,459,458,457,456,605,552,495,477,476,473,472,471,466,465,464,463,462,444,417,406,390,389,387,386,558,557,538,537,536,535,534,516,483,461,460,454,453,452,633,617,601,572,543,110,107,106,105,104,100,97,95,568,545,544,527,525,523,510,508,606,577,573,489,411,378,531,614,591,622,585,529,628,590,589])).
% 3.69/3.85 cnf(1230,plain,
% 3.69/3.85 (P6(f25(x12301),f17(x12302),a42)),
% 3.69/3.85 inference(rename_variables,[],[151])).
% 3.69/3.85 cnf(1241,plain,
% 3.69/3.85 (~E(f16(x12411,x12412,x12413),x12412)),
% 3.69/3.85 inference(rename_variables,[],[319])).
% 3.69/3.85 cnf(1250,plain,
% 3.69/3.85 (~P6(f31(x12501,f33(a30,a46)),f17(f19(f4(a21,a45))),a42)),
% 3.69/3.85 inference(scs_inference,[],[143,142,316,112,113,114,115,116,117,118,119,120,121,122,123,124,125,140,280,315,126,144,338,334,172,271,186,833,156,790,793,319,734,737,754,757,760,776,782,825,154,819,160,714,743,746,749,806,159,193,803,158,327,151,740,763,828,834,1139,1215,1230,339,340,341,797,845,137,791,801,148,149,157,134,332,213,161,173,131,265,700,703,711,717,766,769,812,824,837,331,313,337,264,166,335,708,336,240,238,204,257,2,388,409,408,21,478,415,400,643,639,561,560,547,546,474,448,447,446,445,443,442,420,394,393,631,575,574,554,520,399,398,352,593,553,488,630,566,437,436,522,109,103,101,98,96,94,93,92,91,90,89,88,3,502,492,567,663,509,503,528,656,608,626,519,490,563,475,507,655,644,381,380,594,581,556,485,425,424,423,422,421,416,407,385,382,360,359,358,357,356,355,354,353,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,654,653,648,642,624,621,620,619,618,587,586,584,576,549,548,518,517,512,494,438,435,434,433,432,431,430,429,428,427,426,405,403,402,401,384,383,375,372,371,370,369,368,367,366,365,364,363,362,361,350,349,348,482,459,458,457,456,605,552,495,477,476,473,472,471,466,465,464,463,462,444,417,406,390,389,387,386,558,557,538,537,536,535,534,516,483,461,460,454,453,452,633,617,601,572,543,110,107,106,105,104,100,97,95,568,545,544,527,525,523,510,508,606,577,573,489,411,378,531,614,591,622,585,529,628,590,589,623,571,533,504,657,580,515,506,505])).
% 3.69/3.85 cnf(1262,plain,
% 3.69/3.85 (~P6(f33(a30,a46),f19(f38(f25(x12621),f4(a21,a45),a42)),a42)),
% 3.69/3.85 inference(scs_inference,[],[143,142,316,112,113,114,115,116,117,118,119,120,121,122,123,124,125,140,280,315,126,144,338,334,172,271,186,833,156,790,793,319,734,737,754,757,760,776,782,825,1241,154,819,160,714,743,746,749,806,159,193,803,158,327,151,740,763,828,834,1139,1215,1230,339,340,341,797,845,137,791,801,148,149,157,134,332,213,161,173,131,265,700,703,711,717,766,769,812,824,837,331,313,337,175,264,813,166,335,708,336,240,238,204,257,2,388,409,408,21,478,415,400,643,639,561,560,547,546,474,448,447,446,445,443,442,420,394,393,631,575,574,554,520,399,398,352,593,553,488,630,566,437,436,522,109,103,101,98,96,94,93,92,91,90,89,88,3,502,492,567,663,509,503,528,656,608,626,519,490,563,475,507,655,644,381,380,594,581,556,485,425,424,423,422,421,416,407,385,382,360,359,358,357,356,355,354,353,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,654,653,648,642,624,621,620,619,618,587,586,584,576,549,548,518,517,512,494,438,435,434,433,432,431,430,429,428,427,426,405,403,402,401,384,383,375,372,371,370,369,368,367,366,365,364,363,362,361,350,349,348,482,459,458,457,456,605,552,495,477,476,473,472,471,466,465,464,463,462,444,417,406,390,389,387,386,558,557,538,537,536,535,534,516,483,461,460,454,453,452,633,617,601,572,543,110,107,106,105,104,100,97,95,568,545,544,527,525,523,510,508,606,577,573,489,411,378,531,614,591,622,585,529,628,590,589,623,571,533,504,657,580,515,506,505,595,441,541,665,609])).
% 3.69/3.85 cnf(1269,plain,
% 3.69/3.85 (P6(f8(a23,a47,f28(f33(a34,a47),f31(a50,f31(f25(a48),f31(f33(a30,a46),a51))))),f22(a45,a2),a2)),
% 3.69/3.85 inference(scs_inference,[],[143,142,316,112,113,114,115,116,117,118,119,120,121,122,123,124,125,140,280,315,126,144,338,334,172,271,186,833,156,790,793,319,734,737,754,757,760,776,782,825,1241,154,819,160,714,743,746,749,806,159,193,803,158,298,327,151,740,763,828,834,1139,1215,1230,339,340,341,797,845,137,791,801,148,149,157,134,332,213,161,173,131,265,700,703,711,717,766,769,812,824,837,331,313,337,175,264,813,166,335,708,336,240,238,204,257,2,388,409,408,21,478,415,400,643,639,561,560,547,546,474,448,447,446,445,443,442,420,394,393,631,575,574,554,520,399,398,352,593,553,488,630,566,437,436,522,109,103,101,98,96,94,93,92,91,90,89,88,3,502,492,567,663,509,503,528,656,608,626,519,490,563,475,507,655,644,381,380,594,581,556,485,425,424,423,422,421,416,407,385,382,360,359,358,357,356,355,354,353,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,654,653,648,642,624,621,620,619,618,587,586,584,576,549,548,518,517,512,494,438,435,434,433,432,431,430,429,428,427,426,405,403,402,401,384,383,375,372,371,370,369,368,367,366,365,364,363,362,361,350,349,348,482,459,458,457,456,605,552,495,477,476,473,472,471,466,465,464,463,462,444,417,406,390,389,387,386,558,557,538,537,536,535,534,516,483,461,460,454,453,452,633,617,601,572,543,110,107,106,105,104,100,97,95,568,545,544,527,525,523,510,508,606,577,573,489,411,378,531,614,591,622,585,529,628,590,589,623,571,533,504,657,580,515,506,505,595,441,541,665,609,658,660])).
% 3.69/3.85 cnf(1312,plain,
% 3.69/3.85 (E(x13121,f20(f20(x13121,x13122),x13122))),
% 3.69/3.85 inference(rename_variables,[],[684])).
% 3.69/3.85 cnf(1318,plain,
% 3.69/3.85 (E(x13181,f20(f20(x13181,x13182),x13182))),
% 3.69/3.85 inference(rename_variables,[],[684])).
% 3.69/3.85 cnf(1320,plain,
% 3.69/3.85 (E(x13201,f20(f20(x13201,x13202),x13202))),
% 3.69/3.85 inference(rename_variables,[],[684])).
% 3.69/3.85 cnf(1327,plain,
% 3.69/3.85 (P6(f8(a48,a47,f28(a46,f29(a49))),f22(a45,a2),a2)),
% 3.69/3.85 inference(scs_inference,[],[143,684,1312,1318,1320,323,344,126,112,113,172,334,1250,1181,1269,1178,480,479,99,87,86,638,661])).
% 3.69/3.85 cnf(1336,plain,
% 3.69/3.85 (P6(x13361,f36(f44(x13362,a1)),x13362)),
% 3.69/3.85 inference(rename_variables,[],[165])).
% 3.69/3.85 cnf(1369,plain,
% 3.69/3.85 (P8(x13691,f10(x13692,x13691,f44(x13693,a1)),f44(x13693,a1))),
% 3.69/3.85 inference(rename_variables,[],[209])).
% 3.69/3.85 cnf(1375,plain,
% 3.69/3.85 (P6(x13751,f19(f38(x13751,x13752,a42)),a42)),
% 3.69/3.85 inference(rename_variables,[],[713])).
% 3.69/3.85 cnf(1379,plain,
% 3.69/3.85 (~E(f16(x13791,x13792,x13793),x13792)),
% 3.69/3.85 inference(rename_variables,[],[319])).
% 3.69/3.85 cnf(1383,plain,
% 3.69/3.85 (P8(x13831,x13831,f44(x13832,a1))),
% 3.69/3.85 inference(rename_variables,[],[156])).
% 3.69/3.85 cnf(1386,plain,
% 3.69/3.85 (~E(f27(x13861),f28(x13862,x13863))),
% 3.69/3.85 inference(rename_variables,[],[294])).
% 3.69/3.85 cnf(1393,plain,
% 3.69/3.85 (~P8(f10(f4(a21,a45),x13931,f44(a42,a1)),f18(f4(x13932,f3(a2))),f44(a42,a1))),
% 3.69/3.85 inference(rename_variables,[],[1187])).
% 3.69/3.85 cnf(1394,plain,
% 3.69/3.85 (P8(f18(f4(a21,f20(x13941,a2))),f18(f4(a21,x13941)),f44(a42,a1))),
% 3.69/3.85 inference(rename_variables,[],[216])).
% 3.69/3.85 cnf(1399,plain,
% 3.69/3.85 (P6(x13991,f19(f38(x13991,x13992,a42)),a42)),
% 3.69/3.85 inference(rename_variables,[],[713])).
% 3.69/3.85 cnf(1433,plain,
% 3.69/3.85 (~P6(a48,a5,x14331)),
% 3.69/3.85 inference(scs_inference,[],[143,684,1312,1318,1320,317,294,1386,308,165,1336,209,1369,333,314,342,323,216,1394,344,202,156,1383,319,1379,160,265,336,126,112,113,204,172,334,1169,1187,1393,1193,1195,889,891,1035,1250,713,1375,1399,1262,716,689,702,1007,1181,1183,1269,1229,1224,1178,480,479,99,87,86,638,661,636,616,615,409,400,560,547,473,471,448,443,488,522,527,606,656,614,529,626,590,490,623,657,580,595,486,609,644,658,446,575,531,458,444,436,509,408,407,415,403])).
% 3.69/3.85 cnf(1624,plain,
% 3.69/3.85 ($false),
% 3.69/3.85 inference(scs_inference,[],[319,338,316,334,1327,1433,1269,143,677,625]),
% 3.69/3.85 ['proof']).
% 3.69/3.85 % SZS output end Proof
% 3.69/3.85 % Total time :3.010000s
%------------------------------------------------------------------------------