TSTP Solution File: SWV763-1 by CSE---1.6
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%------------------------------------------------------------------------------
% File : CSE---1.6
% Problem : SWV763-1 : 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 : n007.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 21:35:08 EDT 2023
% Result : Unsatisfiable 1.94s 2.06s
% Output : CNFRefutation 1.94s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SWV763-1 : 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 : n007.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 08:57:13 EDT 2023
% 0.13/0.34 % CPUTime :
% 0.21/0.57 start to proof:theBenchmark
% 1.94/2.01 %-------------------------------------------
% 1.94/2.01 % File :CSE---1.6
% 1.94/2.01 % Problem :theBenchmark
% 1.94/2.01 % Transform :cnf
% 1.94/2.01 % Format :tptp:raw
% 1.94/2.01 % Command :java -jar mcs_scs.jar %d %s
% 1.94/2.01
% 1.94/2.01 % Result :Theorem 1.200000s
% 1.94/2.01 % Output :CNFRefutation 1.200000s
% 1.94/2.01 %-------------------------------------------
% 1.94/2.01 %------------------------------------------------------------------------------
% 1.94/2.01 % File : SWV763-1 : TPTP v8.1.2. Released v4.1.0.
% 1.94/2.01 % Domain : Software Verification
% 1.94/2.01 % Problem : Needham-Schroeder shared-key protocol 348_1
% 1.94/2.01 % Version : Especial.
% 1.94/2.01 % English :
% 1.94/2.01
% 1.94/2.01 % Refs : [BAN89] Burrows et al. (1989), A Logic of Authentication
% 1.94/2.01 % : [Nip10] Nipkow (2010), Email to Geoff Sutcliffe
% 1.94/2.01 % : [BN10] Boehme & Nipkow (2010), Sledgehammer: Judgement Day
% 1.94/2.01 % Source : [Nip10]
% 1.94/2.01 % Names : NS_Shared-348_1 [Nip10]
% 1.94/2.01
% 1.94/2.01 % Status : Unsatisfiable
% 1.94/2.01 % Rating : 0.10 v8.1.0, 0.11 v7.5.0, 0.21 v7.4.0, 0.18 v7.3.0, 0.00 v7.0.0, 0.27 v6.3.0, 0.09 v6.2.0, 0.20 v6.1.0, 0.21 v6.0.0, 0.20 v5.5.0, 0.60 v5.3.0, 0.61 v5.2.0, 0.50 v5.1.0, 0.53 v5.0.0, 0.50 v4.1.0
% 1.94/2.02 % Syntax : Number of clauses : 602 ( 225 unt; 57 nHn; 355 RR)
% 1.94/2.02 % Number of literals : 1225 ( 304 equ; 615 neg)
% 1.94/2.02 % Maximal clause size : 7 ( 2 avg)
% 1.94/2.02 % Maximal term depth : 11 ( 2 avg)
% 1.94/2.02 % Number of predicates : 20 ( 19 usr; 0 prp; 1-4 aty)
% 1.94/2.02 % Number of functors : 74 ( 74 usr; 27 con; 0-5 aty)
% 1.94/2.02 % Number of variables : 1856 ( 465 sgn)
% 1.94/2.02 % SPC : CNF_UNS_RFO_SEQ_NHN
% 1.94/2.02
% 1.94/2.02 % Comments :
% 1.94/2.02 %------------------------------------------------------------------------------
% 1.94/2.02 cnf(cls_parts__synth_0,axiom,
% 1.94/2.02 c_Message_Oparts(c_Message_Osynth(V_H)) = c_Lattices_Oupper__semilattice__class_Osup(c_Message_Oparts(V_H),c_Message_Osynth(V_H),tc_fun(tc_Message_Omsg,tc_bool)) ).
% 1.94/2.02
% 1.94/2.02 cnf(cls_sup__idem_0,axiom,
% 1.94/2.02 ( ~ class_Lattices_Oupper__semilattice(T_a)
% 1.94/2.02 | c_Lattices_Oupper__semilattice__class_Osup(V_x,V_x,T_a) = V_x ) ).
% 1.94/2.02
% 1.94/2.02 cnf(cls_Un__absorb_0,axiom,
% 1.94/2.02 c_Lattices_Oupper__semilattice__class_Osup(V_A,V_A,tc_fun(T_a,tc_bool)) = V_A ).
% 1.94/2.02
% 1.94/2.02 cnf(cls_sup__fun__eq_0,axiom,
% 1.94/2.02 ( ~ class_Lattices_Olattice(T_b)
% 1.94/2.02 | hAPP(c_Lattices_Oupper__semilattice__class_Osup(V_f,V_g,tc_fun(t_a,T_b)),v_x) = c_Lattices_Oupper__semilattice__class_Osup(hAPP(V_f,v_x),hAPP(V_g,v_x),T_b) ) ).
% 1.94/2.02
% 1.94/2.02 cnf(cls_lists_ONil_0,axiom,
% 1.94/2.02 hBOOL(c_in(c_List_Olist_ONil(T_a),c_List_Olists(V_A,T_a),tc_List_Olist(T_a))) ).
% 1.94/2.02
% 1.94/2.02 cnf(cls_privateKey__neq__publicKey_0,axiom,
% 1.94/2.02 c_Message_OinvKey(hAPP(c_Public_OpublicKey(V_b),V_A)) != hAPP(c_Public_OpublicKey(V_c),V_A_H) ).
% 1.94/2.02
% 1.94/2.02 cnf(cls_inj__on__insert_0,axiom,
% 1.94/2.02 ( c_Fun_Oinj__on(V_f,V_A,T_a,T_b)
% 1.94/2.02 | ~ c_Fun_Oinj__on(V_f,c_Set_Oinsert(V_a,V_A,T_a),T_a,T_b) ) ).
% 1.94/2.02
% 1.94/2.02 cnf(cls_insert__subset_1,axiom,
% 1.94/2.02 ( c_lessequals(V_A,V_B,tc_fun(T_a,tc_bool))
% 1.94/2.02 | ~ c_lessequals(c_Set_Oinsert(V_x,V_A,T_a),V_B,tc_fun(T_a,tc_bool)) ) ).
% 1.94/2.02
% 1.94/2.02 cnf(cls_subset__insertI2_0,axiom,
% 1.94/2.02 ( c_lessequals(V_A,c_Set_Oinsert(V_b,V_B,T_a),tc_fun(T_a,tc_bool))
% 1.94/2.02 | ~ c_lessequals(V_A,V_B,tc_fun(T_a,tc_bool)) ) ).
% 1.94/2.02
% 1.94/2.02 cnf(cls_invKey__eq_0,axiom,
% 1.94/2.02 ( c_Message_OinvKey(V_K) != c_Message_OinvKey(V_K_H)
% 1.94/2.02 | V_K = V_K_H ) ).
% 1.94/2.02
% 1.94/2.02 cnf(cls_append__same__eq_0,axiom,
% 1.94/2.02 ( c_List_Oappend(V_ys,V_xs,T_a) != c_List_Oappend(V_zs,V_xs,T_a)
% 1.94/2.02 | V_ys = V_zs ) ).
% 1.94/2.02
% 1.94/2.02 cnf(cls_same__append__eq_0,axiom,
% 1.94/2.02 ( c_List_Oappend(V_xs,V_ys,T_a) != c_List_Oappend(V_xs,V_zs,T_a)
% 1.94/2.02 | V_ys = V_zs ) ).
% 1.94/2.02
% 1.94/2.02 cnf(cls_Un__insert__left_0,axiom,
% 1.94/2.02 c_Lattices_Oupper__semilattice__class_Osup(c_Set_Oinsert(V_a,V_B,T_a),V_C,tc_fun(T_a,tc_bool)) = c_Set_Oinsert(V_a,c_Lattices_Oupper__semilattice__class_Osup(V_B,V_C,tc_fun(T_a,tc_bool)),T_a) ).
% 1.94/2.02
% 1.94/2.02 cnf(cls_Un__insert__right_0,axiom,
% 1.94/2.02 c_Lattices_Oupper__semilattice__class_Osup(V_A,c_Set_Oinsert(V_a,V_B,T_a),tc_fun(T_a,tc_bool)) = c_Set_Oinsert(V_a,c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_a,tc_bool)),T_a) ).
% 1.94/2.02
% 1.94/2.02 cnf(cls_synth__cut_0,axiom,
% 1.94/2.02 ( hBOOL(c_in(V_Y,c_Message_Osynth(V_H),tc_Message_Omsg))
% 1.94/2.02 | ~ hBOOL(c_in(V_X,c_Message_Osynth(V_H),tc_Message_Omsg))
% 1.94/2.02 | ~ hBOOL(c_in(V_Y,c_Message_Osynth(c_Set_Oinsert(V_X,V_H,tc_Message_Omsg)),tc_Message_Omsg)) ) ).
% 1.94/2.02
% 1.94/2.02 cnf(cls_neg__le__iff__le_0,axiom,
% 1.94/2.02 ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a)
% 1.94/2.02 | c_lessequals(V_a,V_b,T_a)
% 1.94/2.02 | ~ c_lessequals(c_HOL_Ouminus__class_Ouminus(V_b,T_a),c_HOL_Ouminus__class_Ouminus(V_a,T_a),T_a) ) ).
% 1.94/2.02
% 1.94/2.02 cnf(cls_le__imp__neg__le_0,axiom,
% 1.94/2.02 ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a)
% 1.94/2.02 | c_lessequals(c_HOL_Ouminus__class_Ouminus(V_b,T_a),c_HOL_Ouminus__class_Ouminus(V_a,T_a),T_a)
% 1.94/2.02 | ~ c_lessequals(V_a,V_b,T_a) ) ).
% 1.94/2.02
% 1.94/2.02 cnf(cls_Compl__anti__mono_0,axiom,
% 1.94/2.02 ( c_lessequals(c_HOL_Ouminus__class_Ouminus(V_B,tc_fun(T_a,tc_bool)),c_HOL_Ouminus__class_Ouminus(V_A,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool))
% 1.94/2.02 | ~ c_lessequals(V_A,V_B,tc_fun(T_a,tc_bool)) ) ).
% 1.94/2.02
% 1.94/2.02 cnf(cls_Compl__subset__Compl__iff_0,axiom,
% 1.94/2.02 ( c_lessequals(V_B,V_A,tc_fun(T_a,tc_bool))
% 1.94/2.02 | ~ c_lessequals(c_HOL_Ouminus__class_Ouminus(V_A,tc_fun(T_a,tc_bool)),c_HOL_Ouminus__class_Ouminus(V_B,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)) ) ).
% 1.94/2.02
% 1.94/2.02 cnf(cls_Compl__subset__Compl__iff_1,axiom,
% 1.94/2.02 ( c_lessequals(c_HOL_Ouminus__class_Ouminus(V_A,tc_fun(T_a,tc_bool)),c_HOL_Ouminus__class_Ouminus(V_B,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool))
% 1.94/2.02 | ~ c_lessequals(V_B,V_A,tc_fun(T_a,tc_bool)) ) ).
% 1.94/2.02
% 1.94/2.02 cnf(cls_synth__mono_0,axiom,
% 1.94/2.02 ( c_lessequals(c_Message_Osynth(V_G),c_Message_Osynth(V_H),tc_fun(tc_Message_Omsg,tc_bool))
% 1.94/2.02 | ~ c_lessequals(V_G,V_H,tc_fun(tc_Message_Omsg,tc_bool)) ) ).
% 1.94/2.02
% 1.94/2.02 cnf(cls_append__Nil2_0,axiom,
% 1.94/2.02 c_List_Oappend(V_xs,c_List_Olist_ONil(T_a),T_a) = V_xs ).
% 1.94/2.02
% 1.94/2.02 cnf(cls_eq__Nil__appendI_0,axiom,
% 1.94/2.02 V_x = c_List_Oappend(c_List_Olist_ONil(T_a),V_x,T_a) ).
% 1.94/2.02
% 1.94/2.02 cnf(cls_self__append__conv_1,axiom,
% 1.94/2.02 V_xs = c_List_Oappend(V_xs,c_List_Olist_ONil(T_a),T_a) ).
% 1.94/2.02
% 1.94/2.02 cnf(cls_append__Nil_0,axiom,
% 1.94/2.02 c_List_Oappend(c_List_Olist_ONil(T_a),V_ys,T_a) = V_ys ).
% 1.94/2.02
% 1.94/2.02 cnf(cls_self__append__conv2_1,axiom,
% 1.94/2.02 V_ys = c_List_Oappend(c_List_Olist_ONil(T_a),V_ys,T_a) ).
% 1.94/2.02
% 1.94/2.02 cnf(cls_distinct__append_0,axiom,
% 1.94/2.02 ( c_List_Odistinct(V_xs,T_a)
% 1.94/2.02 | ~ c_List_Odistinct(c_List_Oappend(V_xs,V_ys,T_a),T_a) ) ).
% 1.94/2.02
% 1.94/2.02 cnf(cls_distinct__append_1,axiom,
% 1.94/2.02 ( c_List_Odistinct(V_ys,T_a)
% 1.94/2.02 | ~ c_List_Odistinct(c_List_Oappend(V_xs,V_ys,T_a),T_a) ) ).
% 1.94/2.02
% 1.94/2.02 cnf(cls_list__inter_Osimps_I1_J_0,axiom,
% 1.94/2.02 c_List_Olist__inter(c_List_Olist_ONil(T_a),V_bs,T_a) = c_List_Olist_ONil(T_a) ).
% 1.94/2.02
% 1.94/2.02 cnf(cls_sup__top__right_0,axiom,
% 1.94/2.02 ( ~ class_Lattices_Obounded__lattice(T_a)
% 1.94/2.02 | c_Lattices_Oupper__semilattice__class_Osup(V_x,c_Orderings_Otop__class_Otop(T_a),T_a) = c_Orderings_Otop__class_Otop(T_a) ) ).
% 1.94/2.02
% 1.94/2.02 cnf(cls_sup__top__left_0,axiom,
% 1.94/2.02 ( ~ class_Lattices_Obounded__lattice(T_a)
% 1.94/2.02 | c_Lattices_Oupper__semilattice__class_Osup(c_Orderings_Otop__class_Otop(T_a),V_x,T_a) = c_Orderings_Otop__class_Otop(T_a) ) ).
% 1.94/2.02
% 1.94/2.02 cnf(cls_Un__UNIV__left_0,axiom,
% 1.94/2.02 c_Lattices_Oupper__semilattice__class_Osup(c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_bool)),V_B,tc_fun(T_a,tc_bool)) = c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_bool)) ).
% 1.94/2.02
% 1.94/2.02 cnf(cls_Un__UNIV__right_0,axiom,
% 1.94/2.02 c_Lattices_Oupper__semilattice__class_Osup(V_A,c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)) = c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_bool)) ).
% 1.94/2.02
% 1.94/2.02 cnf(cls_insert__absorb2_0,axiom,
% 1.94/2.02 c_Set_Oinsert(V_x,c_Set_Oinsert(V_x,V_A,T_a),T_a) = c_Set_Oinsert(V_x,V_A,T_a) ).
% 1.94/2.02
% 1.94/2.02 cnf(cls_insert__code_0,axiom,
% 1.94/2.02 ( hBOOL(hAPP(V_A,V_x))
% 1.94/2.02 | V_y = V_x
% 1.94/2.02 | ~ hBOOL(hAPP(c_Set_Oinsert(V_y,V_A,T_a),V_x)) ) ).
% 1.94/2.02
% 1.94/2.02 cnf(cls_analz__synth__Un_0,axiom,
% 1.94/2.02 c_Message_Oanalz(c_Lattices_Oupper__semilattice__class_Osup(c_Message_Osynth(V_G),V_H,tc_fun(tc_Message_Omsg,tc_bool))) = c_Lattices_Oupper__semilattice__class_Osup(c_Message_Oanalz(c_Lattices_Oupper__semilattice__class_Osup(V_G,V_H,tc_fun(tc_Message_Omsg,tc_bool))),c_Message_Osynth(V_G),tc_fun(tc_Message_Omsg,tc_bool)) ).
% 1.94/2.02
% 1.94/2.02 cnf(cls_inj__on__Un__image__eq__iff_0,axiom,
% 1.94/2.02 ( c_Set_Oimage(V_f,V_A,T_a,T_b) != c_Set_Oimage(V_f,V_B,T_a,T_b)
% 1.94/2.02 | ~ c_Fun_Oinj__on(V_f,c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_a,tc_bool)),T_a,T_b)
% 1.94/2.02 | V_A = V_B ) ).
% 1.94/2.02
% 1.94/2.02 cnf(cls_subset__insertI_0,axiom,
% 1.94/2.02 c_lessequals(V_B,c_Set_Oinsert(V_a,V_B,T_a),tc_fun(T_a,tc_bool)) ).
% 1.94/2.02
% 1.94/2.02 cnf(cls_synth__insert_0,axiom,
% 1.94/2.02 c_lessequals(c_Set_Oinsert(V_X,c_Message_Osynth(V_H),tc_Message_Omsg),c_Message_Osynth(c_Set_Oinsert(V_X,V_H,tc_Message_Omsg)),tc_fun(tc_Message_Omsg,tc_bool)) ).
% 1.94/2.02
% 1.94/2.02 cnf(cls_remdups__eq__nil__iff_1,axiom,
% 1.94/2.02 c_List_Oremdups(c_List_Olist_ONil(T_a),T_a) = c_List_Olist_ONil(T_a) ).
% 1.94/2.02
% 1.94/2.02 cnf(cls_injD_0,axiom,
% 1.94/2.02 ( hAPP(V_f,V_x) != hAPP(V_f,V_y)
% 1.94/2.02 | ~ c_Fun_Oinj__on(V_f,c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_bool)),T_a,T_b)
% 1.94/2.02 | V_x = V_y ) ).
% 1.94/2.02
% 1.94/2.02 cnf(cls_sup1E_0,axiom,
% 1.94/2.02 ( hBOOL(hAPP(V_B,V_x))
% 1.94/2.02 | hBOOL(hAPP(V_A,V_x))
% 1.94/2.02 | ~ hBOOL(hAPP(c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_a,tc_bool)),V_x)) ) ).
% 1.94/2.02
% 1.94/2.02 cnf(cls_sup1CI_0,axiom,
% 1.94/2.02 ( hBOOL(hAPP(c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_a,tc_bool)),V_x))
% 1.94/2.02 | ~ hBOOL(hAPP(V_B,V_x)) ) ).
% 1.94/2.02
% 1.94/2.02 cnf(cls_sup1CI_1,axiom,
% 1.94/2.02 ( hBOOL(hAPP(c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_a,tc_bool)),V_x))
% 1.94/2.02 | ~ hBOOL(hAPP(V_A,V_x)) ) ).
% 1.94/2.02
% 1.94/2.02 cnf(cls_append__in__lists__conv_2,axiom,
% 1.94/2.02 ( hBOOL(c_in(c_List_Oappend(V_xs,V_ys,T_a),c_List_Olists(V_A,T_a),tc_List_Olist(T_a)))
% 1.94/2.02 | ~ hBOOL(c_in(V_ys,c_List_Olists(V_A,T_a),tc_List_Olist(T_a)))
% 1.94/2.02 | ~ hBOOL(c_in(V_xs,c_List_Olists(V_A,T_a),tc_List_Olist(T_a))) ) ).
% 1.94/2.02
% 1.94/2.02 cnf(cls_Nil__is__append__conv_0,axiom,
% 1.94/2.02 ( c_List_Olist_ONil(T_a) != c_List_Oappend(V_xs,V_ys,T_a)
% 1.94/2.02 | V_xs = c_List_Olist_ONil(T_a) ) ).
% 1.94/2.02
% 1.94/2.02 cnf(cls_Nil__is__append__conv_1,axiom,
% 1.94/2.02 ( c_List_Olist_ONil(T_a) != c_List_Oappend(V_xs,V_ys,T_a)
% 1.94/2.02 | V_ys = c_List_Olist_ONil(T_a) ) ).
% 1.94/2.02
% 1.94/2.02 cnf(cls_append__is__Nil__conv_0,axiom,
% 1.94/2.02 ( c_List_Oappend(V_xs,V_ys,T_a) != c_List_Olist_ONil(T_a)
% 1.94/2.02 | V_xs = c_List_Olist_ONil(T_a) ) ).
% 1.94/2.02
% 1.94/2.02 cnf(cls_append__is__Nil__conv_1,axiom,
% 1.94/2.02 ( c_List_Oappend(V_xs,V_ys,T_a) != c_List_Olist_ONil(T_a)
% 1.94/2.02 | V_ys = c_List_Olist_ONil(T_a) ) ).
% 1.94/2.02
% 1.94/2.02 cnf(cls_ns__sharedp_ONil_0,axiom,
% 1.94/2.02 hBOOL(c_NS__Shared__Mirabelle_Ons__sharedp(c_List_Olist_ONil(tc_Event_Oevent))) ).
% 1.94/2.02
% 1.94/2.02 cnf(cls_synth__Un_0,axiom,
% 1.94/2.02 c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(c_Message_Osynth(V_G),c_Message_Osynth(V_H),tc_fun(tc_Message_Omsg,tc_bool)),c_Message_Osynth(c_Lattices_Oupper__semilattice__class_Osup(V_G,V_H,tc_fun(tc_Message_Omsg,tc_bool))),tc_fun(tc_Message_Omsg,tc_bool)) ).
% 1.94/2.02
% 1.94/2.02 cnf(cls_compl__eq__compl__iff_0,axiom,
% 1.94/2.02 ( ~ class_Lattices_Oboolean__algebra(T_a)
% 1.94/2.02 | c_HOL_Ouminus__class_Ouminus(V_x,T_a) != c_HOL_Ouminus__class_Ouminus(V_y,T_a)
% 1.94/2.02 | V_x = V_y ) ).
% 1.94/2.02
% 1.94/2.02 cnf(cls_neg__equal__iff__equal_0,axiom,
% 1.94/2.02 ( ~ class_OrderedGroup_Ogroup__add(T_a)
% 1.94/2.02 | c_HOL_Ouminus__class_Ouminus(V_a,T_a) != c_HOL_Ouminus__class_Ouminus(V_b,T_a)
% 1.94/2.02 | V_a = V_b ) ).
% 1.94/2.02
% 1.94/2.02 cnf(cls_Compl__eq__Compl__iff_0,axiom,
% 1.94/2.02 ( c_HOL_Ouminus__class_Ouminus(V_A,tc_fun(T_a,tc_bool)) != c_HOL_Ouminus__class_Ouminus(V_B,tc_fun(T_a,tc_bool))
% 1.94/2.02 | V_A = V_B ) ).
% 1.94/2.02
% 1.94/2.02 cnf(cls_sup__absorb1_0,axiom,
% 1.94/2.02 ( ~ class_Lattices_Oupper__semilattice(T_a)
% 1.94/2.02 | c_Lattices_Oupper__semilattice__class_Osup(V_x,V_y,T_a) = V_x
% 1.94/2.02 | ~ c_lessequals(V_y,V_x,T_a) ) ).
% 1.94/2.02
% 1.94/2.02 cnf(cls_le__iff__sup_1,axiom,
% 1.94/2.02 ( ~ class_Lattices_Oupper__semilattice(T_a)
% 1.94/2.02 | c_Lattices_Oupper__semilattice__class_Osup(V_x,V_y,T_a) != V_y
% 1.94/2.02 | c_lessequals(V_x,V_y,T_a) ) ).
% 1.94/2.02
% 1.94/2.02 cnf(cls_le__iff__sup_0,axiom,
% 1.94/2.02 ( ~ class_Lattices_Oupper__semilattice(T_a)
% 1.94/2.02 | c_Lattices_Oupper__semilattice__class_Osup(V_x,V_y,T_a) = V_y
% 1.94/2.02 | ~ c_lessequals(V_x,V_y,T_a) ) ).
% 1.94/2.02
% 1.94/2.02 cnf(cls_Un__absorb1_0,axiom,
% 1.94/2.02 ( c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_a,tc_bool)) = V_B
% 1.94/2.02 | ~ c_lessequals(V_A,V_B,tc_fun(T_a,tc_bool)) ) ).
% 1.94/2.02
% 1.94/2.02 cnf(cls_Un__absorb2_0,axiom,
% 1.94/2.02 ( c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_a,tc_bool)) = V_A
% 1.94/2.02 | ~ c_lessequals(V_B,V_A,tc_fun(T_a,tc_bool)) ) ).
% 1.94/2.02
% 1.94/2.02 cnf(cls_subset__Un__eq_1,axiom,
% 1.94/2.02 ( c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_a,tc_bool)) != V_B
% 1.94/2.03 | c_lessequals(V_A,V_B,tc_fun(T_a,tc_bool)) ) ).
% 1.94/2.03
% 1.94/2.03 cnf(cls_set__append_0,axiom,
% 1.94/2.03 c_List_Oset(c_List_Oappend(V_xs,V_ys,T_a),T_a) = c_Lattices_Oupper__semilattice__class_Osup(c_List_Oset(V_xs,T_a),c_List_Oset(V_ys,T_a),tc_fun(T_a,tc_bool)) ).
% 1.94/2.03
% 1.94/2.03 cnf(cls_list_Osimps_I2_J_0,axiom,
% 1.94/2.03 c_List_Olist_ONil(T_a) != c_List_Olist_OCons(V_a_H,V_list_H,T_a) ).
% 1.94/2.03
% 1.94/2.03 cnf(cls_distinct_Osimps_I1_J_0,axiom,
% 1.94/2.03 c_List_Odistinct(c_List_Olist_ONil(T_a),T_a) ).
% 1.94/2.03
% 1.94/2.03 cnf(cls_set__update__subset__insert_0,axiom,
% 1.94/2.03 c_lessequals(c_List_Oset(c_List_Olist__update(V_xs,V_i,V_x,T_a),T_a),c_Set_Oinsert(V_x,c_List_Oset(V_xs,T_a),T_a),tc_fun(T_a,tc_bool)) ).
% 1.94/2.03
% 1.94/2.03 cnf(cls_analz__image__freshK__simps_I57_J_0,axiom,
% 1.94/2.03 c_Lattices_Oupper__semilattice__class_Osup(c_Set_Oimage(V_f,V_A,T_b,T_a),c_Set_Oimage(V_f,V_B,T_b,T_a),tc_fun(T_a,tc_bool)) = c_Set_Oimage(V_f,c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_b,tc_bool)),T_b,T_a) ).
% 1.94/2.03
% 1.94/2.03 cnf(cls_image__insert_0,axiom,
% 1.94/2.03 c_Set_Oimage(V_f,c_Set_Oinsert(V_a,V_B,T_b),T_b,T_a) = c_Set_Oinsert(hAPP(V_f,V_a),c_Set_Oimage(V_f,V_B,T_b,T_a),T_a) ).
% 1.94/2.03
% 1.94/2.03 cnf(cls_Un__mono_0,axiom,
% 1.94/2.03 ( c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_a,tc_bool)),c_Lattices_Oupper__semilattice__class_Osup(V_C,V_D,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool))
% 1.94/2.03 | ~ c_lessequals(V_B,V_D,tc_fun(T_a,tc_bool))
% 1.94/2.03 | ~ c_lessequals(V_A,V_C,tc_fun(T_a,tc_bool)) ) ).
% 1.94/2.03
% 1.94/2.03 cnf(cls_fun__Compl__def_0,axiom,
% 1.94/2.03 ( ~ class_HOL_Ouminus(T_b)
% 1.94/2.03 | hAPP(c_HOL_Ouminus__class_Ouminus(V_A,tc_fun(t_a,T_b)),v_x) = c_HOL_Ouminus__class_Ouminus(hAPP(V_A,v_x),T_b) ) ).
% 1.94/2.03
% 1.94/2.03 cnf(cls_insert__code_1,axiom,
% 1.94/2.03 hBOOL(hAPP(c_Set_Oinsert(V_x,V_A,T_a),V_x)) ).
% 1.94/2.03
% 1.94/2.03 cnf(cls_invKey_0,axiom,
% 1.94/2.03 c_Message_OinvKey(c_Message_OinvKey(V_K)) = V_K ).
% 1.94/2.03
% 1.94/2.03 cnf(cls_remdups__eq__nil__iff_0,axiom,
% 1.94/2.03 ( c_List_Oremdups(V_x,T_a) != c_List_Olist_ONil(T_a)
% 1.94/2.03 | V_x = c_List_Olist_ONil(T_a) ) ).
% 1.94/2.03
% 1.94/2.03 cnf(cls_append__self__conv_0,axiom,
% 1.94/2.03 ( c_List_Oappend(V_xs,V_ys,T_a) != V_xs
% 1.94/2.03 | V_ys = c_List_Olist_ONil(T_a) ) ).
% 1.94/2.03
% 1.94/2.03 cnf(cls_self__append__conv_0,axiom,
% 1.94/2.03 ( V_xs != c_List_Oappend(V_xs,V_ys,T_a)
% 1.94/2.03 | V_ys = c_List_Olist_ONil(T_a) ) ).
% 1.94/2.03
% 1.94/2.03 cnf(cls_append__self__conv2_0,axiom,
% 1.94/2.03 ( c_List_Oappend(V_xs,V_ys,T_a) != V_ys
% 1.94/2.03 | V_xs = c_List_Olist_ONil(T_a) ) ).
% 1.94/2.03
% 1.94/2.03 cnf(cls_self__append__conv2_0,axiom,
% 1.94/2.03 ( V_ys != c_List_Oappend(V_xs,V_ys,T_a)
% 1.94/2.03 | V_xs = c_List_Olist_ONil(T_a) ) ).
% 1.94/2.03
% 1.94/2.03 cnf(cls_append__eq__Cons__conv_4,axiom,
% 1.94/2.03 c_List_Oappend(c_List_Olist_ONil(T_a),c_List_Olist_OCons(V_x,V_xs,T_a),T_a) = c_List_Olist_OCons(V_x,V_xs,T_a) ).
% 1.94/2.03
% 1.94/2.03 cnf(cls_distinct__remdups_0,axiom,
% 1.94/2.03 c_List_Odistinct(c_List_Oremdups(V_xs,T_a),T_a) ).
% 1.94/2.03
% 1.94/2.03 cnf(cls_remdups__eq__nil__right__iff_1,axiom,
% 1.94/2.03 c_List_Olist_ONil(T_a) = c_List_Oremdups(c_List_Olist_ONil(T_a),T_a) ).
% 1.94/2.03
% 1.94/2.03 cnf(cls_synth__increasing_0,axiom,
% 1.94/2.03 c_lessequals(V_H,c_Message_Osynth(V_H),tc_fun(tc_Message_Omsg,tc_bool)) ).
% 1.94/2.03
% 1.94/2.03 cnf(cls_gfp__upperbound_0,axiom,
% 1.94/2.03 ( ~ class_Complete__Lattice_Ocomplete__lattice(T_a)
% 1.94/2.03 | c_lessequals(V_X,c_Inductive_Ocomplete__lattice__class_Ogfp(V_f,T_a),T_a)
% 1.94/2.03 | ~ c_lessequals(V_X,hAPP(V_f,V_X),T_a) ) ).
% 1.94/2.03
% 1.94/2.03 cnf(cls_knows__Nil_0,axiom,
% 1.94/2.03 c_Event_Oknows(V_A,c_List_Olist_ONil(tc_Event_Oevent)) = c_Event_OinitState(V_A) ).
% 1.94/2.03
% 1.94/2.03 cnf(cls_le__sup__iff_1,axiom,
% 1.94/2.03 ( ~ class_Lattices_Oupper__semilattice(T_a)
% 1.94/2.03 | c_lessequals(V_y,V_z,T_a)
% 1.94/2.03 | ~ c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(V_x,V_y,T_a),V_z,T_a) ) ).
% 1.94/2.03
% 1.94/2.03 cnf(cls_le__sup__iff_0,axiom,
% 1.94/2.03 ( ~ class_Lattices_Oupper__semilattice(T_a)
% 1.94/2.03 | c_lessequals(V_x,V_z,T_a)
% 1.94/2.03 | ~ c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(V_x,V_y,T_a),V_z,T_a) ) ).
% 1.94/2.03
% 1.94/2.03 cnf(cls_le__supI2_0,axiom,
% 1.94/2.03 ( ~ class_Lattices_Oupper__semilattice(T_a)
% 1.94/2.03 | c_lessequals(V_x,c_Lattices_Oupper__semilattice__class_Osup(V_a,V_b,T_a),T_a)
% 1.94/2.03 | ~ c_lessequals(V_x,V_b,T_a) ) ).
% 1.94/2.03
% 1.94/2.03 cnf(cls_le__supI1_0,axiom,
% 1.94/2.03 ( ~ class_Lattices_Oupper__semilattice(T_a)
% 1.94/2.03 | c_lessequals(V_x,c_Lattices_Oupper__semilattice__class_Osup(V_a,V_b,T_a),T_a)
% 1.94/2.03 | ~ c_lessequals(V_x,V_a,T_a) ) ).
% 1.94/2.03
% 1.94/2.03 cnf(cls_le__supE_1,axiom,
% 1.94/2.03 ( ~ class_Lattices_Oupper__semilattice(T_a)
% 1.94/2.03 | c_lessequals(V_b,V_x,T_a)
% 1.94/2.03 | ~ c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(V_a,V_b,T_a),V_x,T_a) ) ).
% 1.94/2.03
% 1.94/2.03 cnf(cls_le__supE_0,axiom,
% 1.94/2.03 ( ~ class_Lattices_Oupper__semilattice(T_a)
% 1.94/2.03 | c_lessequals(V_a,V_x,T_a)
% 1.94/2.03 | ~ c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(V_a,V_b,T_a),V_x,T_a) ) ).
% 1.94/2.03
% 1.94/2.03 cnf(cls_Un__subset__iff_0,axiom,
% 1.94/2.03 ( c_lessequals(V_A,V_C,tc_fun(T_a,tc_bool))
% 1.94/2.03 | ~ c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_a,tc_bool)),V_C,tc_fun(T_a,tc_bool)) ) ).
% 1.94/2.03
% 1.94/2.03 cnf(cls_Un__subset__iff_1,axiom,
% 1.94/2.03 ( c_lessequals(V_B,V_C,tc_fun(T_a,tc_bool))
% 1.94/2.03 | ~ c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_a,tc_bool)),V_C,tc_fun(T_a,tc_bool)) ) ).
% 1.94/2.03
% 1.94/2.03 cnf(cls_subset__inj__on_0,axiom,
% 1.94/2.03 ( c_Fun_Oinj__on(V_f,V_A,T_a,T_b)
% 1.94/2.03 | ~ c_lessequals(V_A,V_B,tc_fun(T_a,tc_bool))
% 1.94/2.03 | ~ c_Fun_Oinj__on(V_f,V_B,T_a,T_b) ) ).
% 1.94/2.03
% 1.94/2.03 cnf(cls_sorted__append_0,axiom,
% 1.94/2.03 ( ~ class_Orderings_Olinorder(T_a)
% 1.94/2.03 | c_List_Olinorder__class_Osorted(V_xs,T_a)
% 1.94/2.03 | ~ c_List_Olinorder__class_Osorted(c_List_Oappend(V_xs,V_ys,T_a),T_a) ) ).
% 1.94/2.03
% 1.94/2.03 cnf(cls_insert__commute_0,axiom,
% 1.94/2.03 c_Set_Oinsert(V_x,c_Set_Oinsert(V_y,V_A,T_a),T_a) = c_Set_Oinsert(V_y,c_Set_Oinsert(V_x,V_A,T_a),T_a) ).
% 1.94/2.03
% 1.94/2.03 cnf(cls_synth__subset__iff_1,axiom,
% 1.94/2.03 ( c_lessequals(c_Message_Osynth(V_G),c_Message_Osynth(V_H),tc_fun(tc_Message_Omsg,tc_bool))
% 1.94/2.03 | ~ c_lessequals(V_G,c_Message_Osynth(V_H),tc_fun(tc_Message_Omsg,tc_bool)) ) ).
% 1.94/2.03
% 1.94/2.03 cnf(cls_synth__subset__iff_0,axiom,
% 1.94/2.03 ( c_lessequals(V_G,c_Message_Osynth(V_H),tc_fun(tc_Message_Omsg,tc_bool))
% 1.94/2.03 | ~ c_lessequals(c_Message_Osynth(V_G),c_Message_Osynth(V_H),tc_fun(tc_Message_Omsg,tc_bool)) ) ).
% 1.94/2.03
% 1.94/2.03 cnf(cls_Fake__analz__insert_0,axiom,
% 1.94/2.03 ( c_lessequals(c_Message_Oanalz(c_Set_Oinsert(V_X,V_H,tc_Message_Omsg)),c_Lattices_Oupper__semilattice__class_Osup(c_Message_Osynth(c_Message_Oanalz(V_G)),c_Message_Oanalz(c_Lattices_Oupper__semilattice__class_Osup(V_G,V_H,tc_fun(tc_Message_Omsg,tc_bool))),tc_fun(tc_Message_Omsg,tc_bool)),tc_fun(tc_Message_Omsg,tc_bool))
% 1.94/2.03 | ~ hBOOL(c_in(V_X,c_Message_Osynth(c_Message_Oanalz(V_G)),tc_Message_Omsg)) ) ).
% 1.94/2.03
% 1.94/2.03 cnf(cls_sorted_Osimps_I1_J_0,axiom,
% 1.94/2.03 ( ~ class_Orderings_Olinorder(T_a)
% 1.94/2.03 | c_List_Olinorder__class_Osorted(c_List_Olist_ONil(T_a),T_a) ) ).
% 1.94/2.03
% 1.94/2.03 cnf(cls_Un__left__commute_0,axiom,
% 1.94/2.03 c_Lattices_Oupper__semilattice__class_Osup(V_A,c_Lattices_Oupper__semilattice__class_Osup(V_B,V_C,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)) = c_Lattices_Oupper__semilattice__class_Osup(V_B,c_Lattices_Oupper__semilattice__class_Osup(V_A,V_C,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)) ).
% 1.94/2.03
% 1.94/2.03 cnf(cls_Un__assoc_0,axiom,
% 1.94/2.03 c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_a,tc_bool)),V_C,tc_fun(T_a,tc_bool)) = c_Lattices_Oupper__semilattice__class_Osup(V_A,c_Lattices_Oupper__semilattice__class_Osup(V_B,V_C,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)) ).
% 1.94/2.03
% 1.94/2.03 cnf(cls_sup__assoc_0,axiom,
% 1.94/2.03 ( ~ class_Lattices_Oupper__semilattice(T_a)
% 1.94/2.03 | c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Oupper__semilattice__class_Osup(V_x,V_y,T_a),V_z,T_a) = c_Lattices_Oupper__semilattice__class_Osup(V_x,c_Lattices_Oupper__semilattice__class_Osup(V_y,V_z,T_a),T_a) ) ).
% 1.94/2.03
% 1.94/2.03 cnf(cls_sup__left__commute_0,axiom,
% 1.94/2.03 ( ~ class_Lattices_Oupper__semilattice(T_a)
% 1.94/2.03 | c_Lattices_Oupper__semilattice__class_Osup(V_x,c_Lattices_Oupper__semilattice__class_Osup(V_y,V_z,T_a),T_a) = c_Lattices_Oupper__semilattice__class_Osup(V_y,c_Lattices_Oupper__semilattice__class_Osup(V_x,V_z,T_a),T_a) ) ).
% 1.94/2.03
% 1.94/2.03 cnf(cls_analz__image__freshK__simps_I65_J_0,axiom,
% 1.94/2.03 c_Lattices_Oupper__semilattice__class_Osup(V_A,c_Lattices_Oupper__semilattice__class_Osup(V_B,V_C,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)) = c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_a,tc_bool)),V_C,tc_fun(T_a,tc_bool)) ).
% 1.94/2.03
% 1.94/2.03 cnf(cls_inf__sup__aci_I7_J_0,axiom,
% 1.94/2.03 ( ~ class_Lattices_Olattice(T_a)
% 1.94/2.03 | c_Lattices_Oupper__semilattice__class_Osup(V_x,c_Lattices_Oupper__semilattice__class_Osup(V_y,V_z,T_a),T_a) = c_Lattices_Oupper__semilattice__class_Osup(V_y,c_Lattices_Oupper__semilattice__class_Osup(V_x,V_z,T_a),T_a) ) ).
% 1.94/2.03
% 1.94/2.03 cnf(cls_inf__sup__aci_I6_J_0,axiom,
% 1.94/2.03 ( ~ class_Lattices_Olattice(T_a)
% 1.94/2.03 | c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Oupper__semilattice__class_Osup(V_x,V_y,T_a),V_z,T_a) = c_Lattices_Oupper__semilattice__class_Osup(V_x,c_Lattices_Oupper__semilattice__class_Osup(V_y,V_z,T_a),T_a) ) ).
% 1.94/2.03
% 1.94/2.03 cnf(cls_sorted__distinct__set__unique_0,axiom,
% 1.94/2.03 ( ~ class_Orderings_Olinorder(T_a)
% 1.94/2.03 | c_List_Oset(V_xs,T_a) != c_List_Oset(V_ys,T_a)
% 1.94/2.03 | ~ c_List_Odistinct(V_ys,T_a)
% 1.94/2.03 | ~ c_List_Olinorder__class_Osorted(V_ys,T_a)
% 1.94/2.03 | ~ c_List_Odistinct(V_xs,T_a)
% 1.94/2.03 | ~ c_List_Olinorder__class_Osorted(V_xs,T_a)
% 1.94/2.03 | V_xs = V_ys ) ).
% 1.94/2.03
% 1.94/2.03 cnf(cls_remdups__eq__nil__right__iff_0,axiom,
% 1.94/2.03 ( c_List_Olist_ONil(T_a) != c_List_Oremdups(V_x,T_a)
% 1.94/2.03 | V_x = c_List_Olist_ONil(T_a) ) ).
% 1.94/2.03
% 1.94/2.03 cnf(cls_Un__subset__iff_2,axiom,
% 1.94/2.03 ( c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_a,tc_bool)),V_C,tc_fun(T_a,tc_bool))
% 1.94/2.03 | ~ c_lessequals(V_B,V_C,tc_fun(T_a,tc_bool))
% 1.94/2.03 | ~ c_lessequals(V_A,V_C,tc_fun(T_a,tc_bool)) ) ).
% 1.94/2.03
% 1.94/2.03 cnf(cls_Un__upper2_0,axiom,
% 1.94/2.03 c_lessequals(V_B,c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)) ).
% 1.94/2.03
% 1.94/2.03 cnf(cls_Un__upper1_0,axiom,
% 1.94/2.03 c_lessequals(V_A,c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)) ).
% 1.94/2.03
% 1.94/2.03 cnf(cls_Un__least_0,axiom,
% 1.94/2.03 ( c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_a,tc_bool)),V_C,tc_fun(T_a,tc_bool))
% 1.94/2.03 | ~ c_lessequals(V_B,V_C,tc_fun(T_a,tc_bool))
% 1.94/2.03 | ~ c_lessequals(V_A,V_C,tc_fun(T_a,tc_bool)) ) ).
% 1.94/2.03
% 1.94/2.03 cnf(cls_le__supI_0,axiom,
% 1.94/2.03 ( ~ class_Lattices_Oupper__semilattice(T_a)
% 1.94/2.03 | c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(V_a,V_b,T_a),V_x,T_a)
% 1.94/2.03 | ~ c_lessequals(V_b,V_x,T_a)
% 1.94/2.03 | ~ c_lessequals(V_a,V_x,T_a) ) ).
% 1.94/2.03
% 1.94/2.03 cnf(cls_sup__ge1_0,axiom,
% 1.94/2.03 ( ~ class_Lattices_Oupper__semilattice(T_a)
% 1.94/2.03 | c_lessequals(V_x,c_Lattices_Oupper__semilattice__class_Osup(V_x,V_y,T_a),T_a) ) ).
% 1.94/2.03
% 1.94/2.03 cnf(cls_sup__ge2_0,axiom,
% 1.94/2.03 ( ~ class_Lattices_Oupper__semilattice(T_a)
% 1.94/2.03 | c_lessequals(V_y,c_Lattices_Oupper__semilattice__class_Osup(V_x,V_y,T_a),T_a) ) ).
% 1.94/2.03
% 1.94/2.03 cnf(cls_sup__least_0,axiom,
% 1.94/2.03 ( ~ class_Lattices_Oupper__semilattice(T_a)
% 1.94/2.03 | c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(V_y,V_z,T_a),V_x,T_a)
% 1.94/2.03 | ~ c_lessequals(V_z,V_x,T_a)
% 1.94/2.03 | ~ c_lessequals(V_y,V_x,T_a) ) ).
% 1.94/2.03
% 1.94/2.03 cnf(cls_le__sup__iff_2,axiom,
% 1.94/2.03 ( ~ class_Lattices_Oupper__semilattice(T_a)
% 1.94/2.03 | c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(V_x,V_y,T_a),V_z,T_a)
% 1.94/2.03 | ~ c_lessequals(V_y,V_z,T_a)
% 1.94/2.03 | ~ c_lessequals(V_x,V_z,T_a) ) ).
% 1.94/2.03
% 1.94/2.03 cnf(cls_inf__sup__ord_I4_J_0,axiom,
% 1.94/2.03 ( ~ class_Lattices_Olattice(T_a)
% 1.94/2.03 | c_lessequals(V_y,c_Lattices_Oupper__semilattice__class_Osup(V_x,V_y,T_a),T_a) ) ).
% 1.94/2.03
% 1.94/2.03 cnf(cls_inf__sup__ord_I3_J_0,axiom,
% 1.94/2.03 ( ~ class_Lattices_Olattice(T_a)
% 1.94/2.03 | c_lessequals(V_x,c_Lattices_Oupper__semilattice__class_Osup(V_x,V_y,T_a),T_a) ) ).
% 1.94/2.03
% 1.94/2.03 cnf(cls_sorted_Osimps_I3_J_1,axiom,
% 1.94/2.03 ( ~ class_Orderings_Olinorder(T_a)
% 1.94/2.03 | c_List_Olinorder__class_Osorted(c_List_Olist_OCons(V_y,V_zs,T_a),T_a)
% 1.94/2.03 | ~ c_List_Olinorder__class_Osorted(c_List_Olist_OCons(V_x,c_List_Olist_OCons(V_y,V_zs,T_a),T_a),T_a) ) ).
% 1.94/2.03
% 1.94/2.03 cnf(cls_append__eq__Cons__conv_5,axiom,
% 1.94/2.03 c_List_Oappend(c_List_Olist_OCons(V_x,V_xa,T_a),V_zs,T_a) = c_List_Olist_OCons(V_x,c_List_Oappend(V_xa,V_zs,T_a),T_a) ).
% 1.94/2.03
% 1.94/2.03 cnf(cls_append__Cons_0,axiom,
% 1.94/2.03 c_List_Oappend(c_List_Olist_OCons(V_x,V_xs,T_a),V_ys,T_a) = c_List_Olist_OCons(V_x,c_List_Oappend(V_xs,V_ys,T_a),T_a) ).
% 1.94/2.03
% 1.94/2.03 cnf(cls_sorted__append_2,axiom,
% 1.94/2.03 ( ~ class_Orderings_Olinorder(T_a)
% 1.94/2.03 | c_lessequals(V_x,V_xa,T_a)
% 1.94/2.03 | ~ hBOOL(c_in(V_xa,c_List_Oset(V_ys,T_a),T_a))
% 1.94/2.03 | ~ hBOOL(c_in(V_x,c_List_Oset(V_xs,T_a),T_a))
% 1.94/2.03 | ~ c_List_Olinorder__class_Osorted(c_List_Oappend(V_xs,V_ys,T_a),T_a) ) ).
% 1.94/2.03
% 1.94/2.03 cnf(cls_Compl__partition2_0,axiom,
% 1.94/2.03 c_Lattices_Oupper__semilattice__class_Osup(c_HOL_Ouminus__class_Ouminus(V_A,tc_fun(T_a,tc_bool)),V_A,tc_fun(T_a,tc_bool)) = c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_bool)) ).
% 1.94/2.03
% 1.94/2.03 cnf(cls_Compl__partition_0,axiom,
% 1.94/2.03 c_Lattices_Oupper__semilattice__class_Osup(V_A,c_HOL_Ouminus__class_Ouminus(V_A,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)) = c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_bool)) ).
% 1.94/2.03
% 1.94/2.03 cnf(cls_compl__sup__top_0,axiom,
% 1.94/2.03 ( ~ class_Lattices_Oboolean__algebra(T_a)
% 1.94/2.03 | c_Lattices_Oupper__semilattice__class_Osup(c_HOL_Ouminus__class_Ouminus(V_x,T_a),V_x,T_a) = c_Orderings_Otop__class_Otop(T_a) ) ).
% 1.94/2.03
% 1.94/2.03 cnf(cls_sup__compl__top_0,axiom,
% 1.94/2.03 ( ~ class_Lattices_Oboolean__algebra(T_a)
% 1.94/2.03 | c_Lattices_Oupper__semilattice__class_Osup(V_x,c_HOL_Ouminus__class_Ouminus(V_x,T_a),T_a) = c_Orderings_Otop__class_Otop(T_a) ) ).
% 1.94/2.03
% 1.94/2.03 cnf(cls_list__update__nonempty_1,axiom,
% 1.94/2.03 c_List_Olist__update(c_List_Olist_ONil(T_a),V_k,V_x,T_a) = c_List_Olist_ONil(T_a) ).
% 1.94/2.03
% 1.94/2.03 cnf(cls_list__update__code_I1_J_0,axiom,
% 1.94/2.03 c_List_Olist__update(c_List_Olist_ONil(T_a),V_i,V_y,T_a) = c_List_Olist_ONil(T_a) ).
% 1.94/2.03
% 1.94/2.03 cnf(cls_list__update_Osimps_I1_J_0,axiom,
% 1.94/2.03 c_List_Olist__update(c_List_Olist_ONil(T_a),V_i,V_v,T_a) = c_List_Olist_ONil(T_a) ).
% 1.94/2.03
% 1.94/2.03 cnf(cls_insert__code_2,axiom,
% 1.94/2.03 ( hBOOL(hAPP(c_Set_Oinsert(V_y,V_A,T_a),V_x))
% 1.94/2.03 | ~ hBOOL(hAPP(V_A,V_x)) ) ).
% 1.94/2.03
% 1.94/2.03 cnf(cls_Cons__eq__append__conv_5,axiom,
% 1.94/2.03 c_List_Olist_OCons(V_x,c_List_Oappend(V_xa,V_zs,T_a),T_a) = c_List_Oappend(c_List_Olist_OCons(V_x,V_xa,T_a),V_zs,T_a) ).
% 1.94/2.03
% 1.94/2.03 cnf(cls_Cons__eq__appendI_0,axiom,
% 1.94/2.03 c_List_Olist_OCons(V_x,c_List_Oappend(V_xs1,V_zs,T_a),T_a) = c_List_Oappend(c_List_Olist_OCons(V_x,V_xs1,T_a),V_zs,T_a) ).
% 1.94/2.03
% 1.94/2.03 cnf(cls_neq__Nil__conv_1,axiom,
% 1.94/2.03 c_List_Olist_OCons(V_x,V_xa,T_a) != c_List_Olist_ONil(T_a) ).
% 1.94/2.03
% 1.94/2.03 cnf(cls_list_Osimps_I3_J_0,axiom,
% 1.94/2.03 c_List_Olist_OCons(V_a_H,V_list_H,T_a) != c_List_Olist_ONil(T_a) ).
% 1.94/2.03
% 1.94/2.03 cnf(cls_sorted__Cons_0,axiom,
% 1.94/2.03 ( ~ class_Orderings_Olinorder(T_a)
% 1.94/2.03 | c_List_Olinorder__class_Osorted(V_xs,T_a)
% 1.94/2.03 | ~ c_List_Olinorder__class_Osorted(c_List_Olist_OCons(V_x,V_xs,T_a),T_a) ) ).
% 1.94/2.03
% 1.94/2.03 cnf(cls_Un__commute_0,axiom,
% 1.94/2.03 c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_a,tc_bool)) = c_Lattices_Oupper__semilattice__class_Osup(V_B,V_A,tc_fun(T_a,tc_bool)) ).
% 1.94/2.03
% 1.94/2.03 cnf(cls_sup__commute_0,axiom,
% 1.94/2.03 ( ~ class_Lattices_Oupper__semilattice(T_a)
% 1.94/2.03 | c_Lattices_Oupper__semilattice__class_Osup(V_x,V_y,T_a) = c_Lattices_Oupper__semilattice__class_Osup(V_y,V_x,T_a) ) ).
% 1.94/2.03
% 1.94/2.03 cnf(cls_inf__sup__aci_I5_J_0,axiom,
% 1.94/2.03 ( ~ class_Lattices_Olattice(T_a)
% 1.94/2.03 | c_Lattices_Oupper__semilattice__class_Osup(V_x,V_y,T_a) = c_Lattices_Oupper__semilattice__class_Osup(V_y,V_x,T_a) ) ).
% 1.94/2.03
% 1.94/2.03 cnf(cls_Un__left__absorb_0,axiom,
% 1.94/2.03 c_Lattices_Oupper__semilattice__class_Osup(V_A,c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)) = c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_a,tc_bool)) ).
% 1.94/2.03
% 1.94/2.03 cnf(cls_sup__left__idem_0,axiom,
% 1.94/2.03 ( ~ class_Lattices_Oupper__semilattice(T_a)
% 1.94/2.03 | c_Lattices_Oupper__semilattice__class_Osup(V_x,c_Lattices_Oupper__semilattice__class_Osup(V_x,V_y,T_a),T_a) = c_Lattices_Oupper__semilattice__class_Osup(V_x,V_y,T_a) ) ).
% 1.94/2.03
% 1.94/2.03 cnf(cls_inf__sup__aci_I8_J_0,axiom,
% 1.94/2.03 ( ~ class_Lattices_Olattice(T_a)
% 1.94/2.03 | c_Lattices_Oupper__semilattice__class_Osup(V_x,c_Lattices_Oupper__semilattice__class_Osup(V_x,V_y,T_a),T_a) = c_Lattices_Oupper__semilattice__class_Osup(V_x,V_y,T_a) ) ).
% 1.94/2.03
% 1.94/2.03 cnf(cls_synth__idem_0,axiom,
% 1.94/2.03 c_Message_Osynth(c_Message_Osynth(V_H)) = c_Message_Osynth(V_H) ).
% 1.94/2.03
% 1.94/2.03 cnf(cls_analz__synth_0,axiom,
% 1.94/2.03 c_Message_Oanalz(c_Message_Osynth(V_H)) = c_Lattices_Oupper__semilattice__class_Osup(c_Message_Oanalz(V_H),c_Message_Osynth(V_H),tc_fun(tc_Message_Omsg,tc_bool)) ).
% 1.94/2.03
% 1.94/2.03 cnf(cls_remdups__id__iff__distinct_0,axiom,
% 1.94/2.03 ( c_List_Oremdups(V_xs,T_a) != V_xs
% 1.94/2.03 | c_List_Odistinct(V_xs,T_a) ) ).
% 1.94/2.03
% 1.94/2.03 cnf(cls_distinct__remdups__id_0,axiom,
% 1.94/2.03 ( c_List_Oremdups(V_xs,T_a) = V_xs
% 1.94/2.03 | ~ c_List_Odistinct(V_xs,T_a) ) ).
% 1.94/2.03
% 1.94/2.03 cnf(cls_Cons__eq__append__conv_4,axiom,
% 1.94/2.03 c_List_Olist_OCons(V_x,V_xs,T_a) = c_List_Oappend(c_List_Olist_ONil(T_a),c_List_Olist_OCons(V_x,V_xs,T_a),T_a) ).
% 1.94/2.03
% 1.94/2.03 cnf(cls_Nil__is__append__conv_2,axiom,
% 1.94/2.03 c_List_Olist_ONil(T_a) = c_List_Oappend(c_List_Olist_ONil(T_a),c_List_Olist_ONil(T_a),T_a) ).
% 1.94/2.03
% 1.94/2.03 cnf(cls_analz__image__freshK__simps_I56_J_0,axiom,
% 1.94/2.03 c_Set_Oinsert(hAPP(V_f,V_a),c_Set_Oimage(V_f,V_B,T_b,T_a),T_a) = c_Set_Oimage(V_f,c_Set_Oinsert(V_a,V_B,T_b),T_b,T_a) ).
% 1.94/2.03
% 1.94/2.03 cnf(cls_sorted_Osimps_I2_J_0,axiom,
% 1.94/2.03 ( ~ class_Orderings_Olinorder(T_a)
% 1.94/2.03 | c_List_Olinorder__class_Osorted(c_List_Olist_OCons(V_x,c_List_Olist_ONil(T_a),T_a),T_a) ) ).
% 1.94/2.03
% 1.94/2.03 cnf(cls_inj__on__Un_1,axiom,
% 1.94/2.03 ( c_Fun_Oinj__on(V_f,V_B,T_a,T_b)
% 1.94/2.03 | ~ c_Fun_Oinj__on(V_f,c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_a,tc_bool)),T_a,T_b) ) ).
% 1.94/2.03
% 1.94/2.03 cnf(cls_inj__on__Un_0,axiom,
% 1.94/2.03 ( c_Fun_Oinj__on(V_f,V_A,T_a,T_b)
% 1.94/2.03 | ~ c_Fun_Oinj__on(V_f,c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_a,tc_bool)),T_a,T_b) ) ).
% 1.94/2.03
% 1.94/2.03 cnf(cls_double__complement_0,axiom,
% 1.94/2.03 c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(V_A,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)) = V_A ).
% 1.94/2.03
% 1.94/2.03 cnf(cls_minus__minus_0,axiom,
% 1.94/2.03 ( ~ class_OrderedGroup_Ogroup__add(T_a)
% 1.94/2.03 | c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(V_a,T_a),T_a) = V_a ) ).
% 1.94/2.03
% 1.94/2.03 cnf(cls_double__compl_0,axiom,
% 1.94/2.03 ( ~ class_Lattices_Oboolean__algebra(T_a)
% 1.94/2.03 | c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(V_x,T_a),T_a) = V_x ) ).
% 1.94/2.03
% 1.94/2.03 cnf(cls_equation__minus__iff_0,axiom,
% 1.94/2.03 ( ~ class_OrderedGroup_Ogroup__add(T_a)
% 1.94/2.03 | V_b = c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(V_b,T_a),T_a) ) ).
% 1.94/2.03
% 1.94/2.03 cnf(cls_equation__minus__iff_1,axiom,
% 1.94/2.03 ( ~ class_OrderedGroup_Ogroup__add(T_a)
% 1.94/2.03 | V_a = c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(V_a,T_a),T_a) ) ).
% 1.94/2.03
% 1.94/2.04 cnf(cls_minus__equation__iff_1,axiom,
% 1.94/2.04 ( ~ class_OrderedGroup_Ogroup__add(T_a)
% 1.94/2.04 | c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(V_b,T_a),T_a) = V_b ) ).
% 1.94/2.04
% 1.94/2.04 cnf(cls_distinct_Osimps_I2_J_1,axiom,
% 1.94/2.04 ( c_List_Odistinct(V_xs,T_a)
% 1.94/2.04 | ~ c_List_Odistinct(c_List_Olist_OCons(V_x,V_xs,T_a),T_a) ) ).
% 1.94/2.04
% 1.94/2.04 cnf(cls_list__update__nonempty_0,axiom,
% 1.94/2.04 ( c_List_Olist__update(V_xs,V_k,V_x,T_a) != c_List_Olist_ONil(T_a)
% 1.94/2.04 | V_xs = c_List_Olist_ONil(T_a) ) ).
% 1.94/2.04
% 1.94/2.04 cnf(cls_le__minus__iff_0,axiom,
% 1.94/2.04 ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a)
% 1.94/2.04 | c_lessequals(V_b,c_HOL_Ouminus__class_Ouminus(V_a,T_a),T_a)
% 1.94/2.04 | ~ c_lessequals(V_a,c_HOL_Ouminus__class_Ouminus(V_b,T_a),T_a) ) ).
% 1.94/2.04
% 1.94/2.04 cnf(cls_le__minus__iff_1,axiom,
% 1.94/2.04 ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a)
% 1.94/2.04 | c_lessequals(V_a,c_HOL_Ouminus__class_Ouminus(V_b,T_a),T_a)
% 1.94/2.04 | ~ c_lessequals(V_b,c_HOL_Ouminus__class_Ouminus(V_a,T_a),T_a) ) ).
% 1.94/2.04
% 1.94/2.04 cnf(cls_minus__le__iff_0,axiom,
% 1.94/2.04 ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a)
% 1.94/2.04 | c_lessequals(c_HOL_Ouminus__class_Ouminus(V_b,T_a),V_a,T_a)
% 1.94/2.04 | ~ c_lessequals(c_HOL_Ouminus__class_Ouminus(V_a,T_a),V_b,T_a) ) ).
% 1.94/2.04
% 1.94/2.04 cnf(cls_minus__le__iff_1,axiom,
% 1.94/2.04 ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a)
% 1.94/2.04 | c_lessequals(c_HOL_Ouminus__class_Ouminus(V_a,T_a),V_b,T_a)
% 1.94/2.04 | ~ c_lessequals(c_HOL_Ouminus__class_Ouminus(V_b,T_a),V_a,T_a) ) ).
% 1.94/2.04
% 1.94/2.04 cnf(cls_Fake__parts__insert_0,axiom,
% 1.94/2.04 ( c_lessequals(c_Message_Oparts(c_Set_Oinsert(V_X,V_H,tc_Message_Omsg)),c_Lattices_Oupper__semilattice__class_Osup(c_Message_Osynth(c_Message_Oanalz(V_H)),c_Message_Oparts(V_H),tc_fun(tc_Message_Omsg,tc_bool)),tc_fun(tc_Message_Omsg,tc_bool))
% 1.94/2.04 | ~ hBOOL(c_in(V_X,c_Message_Osynth(c_Message_Oanalz(V_H)),tc_Message_Omsg)) ) ).
% 1.94/2.04
% 1.94/2.04 cnf(cls_insert__iff_2,axiom,
% 1.94/2.04 ( hBOOL(c_in(V_a,c_Set_Oinsert(V_b,V_A,T_a),T_a))
% 1.94/2.04 | ~ hBOOL(c_in(V_a,V_A,T_a)) ) ).
% 1.94/2.04
% 1.94/2.04 cnf(cls_insertCI_0,axiom,
% 1.94/2.04 ( hBOOL(c_in(V_a,c_Set_Oinsert(V_b,V_B,T_a),T_a))
% 1.94/2.04 | ~ hBOOL(c_in(V_a,V_B,T_a)) ) ).
% 1.94/2.04
% 1.94/2.04 cnf(cls_UnCI_1,axiom,
% 1.94/2.04 ( hBOOL(c_in(V_c,c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_a,tc_bool)),T_a))
% 1.94/2.04 | ~ hBOOL(c_in(V_c,V_A,T_a)) ) ).
% 1.94/2.04
% 1.94/2.04 cnf(cls_UnCI_0,axiom,
% 1.94/2.04 ( hBOOL(c_in(V_c,c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_a,tc_bool)),T_a))
% 1.94/2.04 | ~ hBOOL(c_in(V_c,V_B,T_a)) ) ).
% 1.94/2.04
% 1.94/2.04 cnf(cls_insertE_0,axiom,
% 1.94/2.04 ( hBOOL(c_in(V_a,V_A,T_a))
% 1.94/2.04 | V_a = V_b
% 1.94/2.04 | ~ hBOOL(c_in(V_a,c_Set_Oinsert(V_b,V_A,T_a),T_a)) ) ).
% 1.94/2.04
% 1.94/2.04 cnf(cls_UnE_0,axiom,
% 1.94/2.04 ( hBOOL(c_in(V_c,V_B,T_a))
% 1.94/2.04 | hBOOL(c_in(V_c,V_A,T_a))
% 1.94/2.04 | ~ hBOOL(c_in(V_c,c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_a,tc_bool)),T_a)) ) ).
% 1.94/2.04
% 1.94/2.04 cnf(cls_ComplI_0,axiom,
% 1.94/2.04 ( hBOOL(c_in(V_c,c_HOL_Ouminus__class_Ouminus(V_A,tc_fun(T_a,tc_bool)),T_a))
% 1.94/2.04 | hBOOL(c_in(V_c,V_A,T_a)) ) ).
% 1.94/2.04
% 1.94/2.04 cnf(cls_ComplD_0,axiom,
% 1.94/2.04 ( ~ hBOOL(c_in(V_c,V_A,T_a))
% 1.94/2.04 | ~ hBOOL(c_in(V_c,c_HOL_Ouminus__class_Ouminus(V_A,tc_fun(T_a,tc_bool)),T_a)) ) ).
% 1.94/2.04
% 1.94/2.04 cnf(cls_insert__iff_1,axiom,
% 1.94/2.04 hBOOL(c_in(V_x,c_Set_Oinsert(V_x,V_A,T_a),T_a)) ).
% 1.94/2.04
% 1.94/2.04 cnf(cls_insertI1_0,axiom,
% 1.94/2.04 hBOOL(c_in(V_a,c_Set_Oinsert(V_a,V_B,T_a),T_a)) ).
% 1.94/2.04
% 1.94/2.04 cnf(cls_insertCI_1,axiom,
% 1.94/2.04 hBOOL(c_in(V_x,c_Set_Oinsert(V_x,V_B,T_a),T_a)) ).
% 1.94/2.04
% 1.94/2.04 cnf(cls_inj__on__contraD_0,axiom,
% 1.94/2.04 ( hAPP(V_f,V_x) != hAPP(V_f,V_y)
% 1.94/2.04 | ~ hBOOL(c_in(V_y,V_A,T_a))
% 1.94/2.04 | ~ hBOOL(c_in(V_x,V_A,T_a))
% 1.94/2.04 | V_x = V_y
% 1.94/2.04 | ~ c_Fun_Oinj__on(V_f,V_A,T_a,T_b) ) ).
% 1.94/2.04
% 1.94/2.04 cnf(cls_inj__on__iff_0,axiom,
% 1.94/2.04 ( hAPP(V_f,V_x) != hAPP(V_f,V_y)
% 1.94/2.04 | ~ hBOOL(c_in(V_y,V_A,T_a))
% 1.94/2.04 | ~ hBOOL(c_in(V_x,V_A,T_a))
% 1.94/2.04 | ~ c_Fun_Oinj__on(V_f,V_A,T_a,T_b)
% 1.94/2.04 | V_x = V_y ) ).
% 1.94/2.04
% 1.94/2.04 cnf(cls_inj__on__def_0,axiom,
% 1.94/2.04 ( hAPP(V_f,V_x) != hAPP(V_f,V_xa)
% 1.94/2.04 | ~ hBOOL(c_in(V_xa,V_A,T_a))
% 1.94/2.04 | ~ hBOOL(c_in(V_x,V_A,T_a))
% 1.94/2.04 | ~ c_Fun_Oinj__on(V_f,V_A,T_a,T_b)
% 1.94/2.04 | V_x = V_xa ) ).
% 1.94/2.04
% 1.94/2.04 cnf(cls_inj__onD_0,axiom,
% 1.94/2.04 ( hAPP(V_f,V_x) != hAPP(V_f,V_y)
% 1.94/2.04 | ~ c_Fun_Oinj__on(V_f,V_A,T_a,T_b)
% 1.94/2.04 | V_x = V_y
% 1.94/2.04 | ~ hBOOL(c_in(V_y,V_A,T_a))
% 1.94/2.04 | ~ hBOOL(c_in(V_x,V_A,T_a)) ) ).
% 1.94/2.04
% 1.94/2.04 cnf(cls_insert__ident_0,axiom,
% 1.94/2.04 ( c_Set_Oinsert(V_x,V_A,T_a) != c_Set_Oinsert(V_x,V_B,T_a)
% 1.94/2.04 | hBOOL(c_in(V_x,V_B,T_a))
% 1.94/2.04 | hBOOL(c_in(V_x,V_A,T_a))
% 1.94/2.04 | V_A = V_B ) ).
% 1.94/2.04
% 1.94/2.04 cnf(cls_insert__absorb_0,axiom,
% 1.94/2.04 ( c_Set_Oinsert(V_a,V_A,T_a) = V_A
% 1.94/2.04 | ~ hBOOL(c_in(V_a,V_A,T_a)) ) ).
% 1.94/2.04
% 1.94/2.04 cnf(cls_synth_OInj_0,axiom,
% 1.94/2.04 ( hBOOL(c_in(V_X,c_Message_Osynth(V_H),tc_Message_Omsg))
% 1.94/2.04 | ~ hBOOL(c_in(V_X,V_H,tc_Message_Omsg)) ) ).
% 1.94/2.04
% 1.94/2.04 cnf(cls_synth__synthD_0,axiom,
% 1.94/2.04 ( hBOOL(c_in(V_X,c_Message_Osynth(V_H),tc_Message_Omsg))
% 1.94/2.04 | ~ hBOOL(c_in(V_X,c_Message_Osynth(c_Message_Osynth(V_H)),tc_Message_Omsg)) ) ).
% 1.94/2.04
% 1.94/2.04 cnf(cls_parts__cut_0,axiom,
% 1.94/2.04 ( hBOOL(c_in(V_Y,c_Message_Oparts(c_Lattices_Oupper__semilattice__class_Osup(V_G,V_H,tc_fun(tc_Message_Omsg,tc_bool))),tc_Message_Omsg))
% 1.94/2.04 | ~ hBOOL(c_in(V_X,c_Message_Oparts(V_H),tc_Message_Omsg))
% 1.94/2.04 | ~ hBOOL(c_in(V_Y,c_Message_Oparts(c_Set_Oinsert(V_X,V_G,tc_Message_Omsg)),tc_Message_Omsg)) ) ).
% 1.94/2.04
% 1.94/2.04 cnf(cls_set__remdups_0,axiom,
% 1.94/2.04 c_List_Oset(c_List_Oremdups(V_xs,T_a),T_a) = c_List_Oset(V_xs,T_a) ).
% 1.94/2.04
% 1.94/2.04 cnf(cls_parts__Un_0,axiom,
% 1.94/2.04 c_Message_Oparts(c_Lattices_Oupper__semilattice__class_Osup(V_G,V_H,tc_fun(tc_Message_Omsg,tc_bool))) = c_Lattices_Oupper__semilattice__class_Osup(c_Message_Oparts(V_G),c_Message_Oparts(V_H),tc_fun(tc_Message_Omsg,tc_bool)) ).
% 1.94/2.04
% 1.94/2.04 cnf(cls_Fake__parts__insert__in__Un_0,axiom,
% 1.94/2.04 ( hBOOL(c_in(V_Z,c_Lattices_Oupper__semilattice__class_Osup(c_Message_Osynth(c_Message_Oanalz(V_H)),c_Message_Oparts(V_H),tc_fun(tc_Message_Omsg,tc_bool)),tc_Message_Omsg))
% 1.94/2.04 | ~ hBOOL(c_in(V_X,c_Message_Osynth(c_Message_Oanalz(V_H)),tc_Message_Omsg))
% 1.94/2.04 | ~ hBOOL(c_in(V_Z,c_Message_Oparts(c_Set_Oinsert(V_X,V_H,tc_Message_Omsg)),tc_Message_Omsg)) ) ).
% 1.94/2.04
% 1.94/2.04 cnf(cls_Fake__analz__eq_0,axiom,
% 1.94/2.04 ( c_Message_Osynth(c_Message_Oanalz(c_Set_Oinsert(V_X,V_H,tc_Message_Omsg))) = c_Message_Osynth(c_Message_Oanalz(V_H))
% 1.94/2.04 | ~ hBOOL(c_in(V_X,c_Message_Osynth(c_Message_Oanalz(V_H)),tc_Message_Omsg)) ) ).
% 1.94/2.04
% 1.94/2.04 cnf(cls_analz__insert__cong_0,axiom,
% 1.94/2.04 ( c_Message_Oanalz(V_H) != c_Message_Oanalz(V_H_H)
% 1.94/2.04 | c_Message_Oanalz(c_Set_Oinsert(V_X,V_H,tc_Message_Omsg)) = c_Message_Oanalz(c_Set_Oinsert(V_X,V_H_H,tc_Message_Omsg)) ) ).
% 1.94/2.04
% 1.94/2.04 cnf(cls_analz__analz__Un_0,axiom,
% 1.94/2.04 c_Message_Oanalz(c_Lattices_Oupper__semilattice__class_Osup(c_Message_Oanalz(V_G),V_H,tc_fun(tc_Message_Omsg,tc_bool))) = c_Message_Oanalz(c_Lattices_Oupper__semilattice__class_Osup(V_G,V_H,tc_fun(tc_Message_Omsg,tc_bool))) ).
% 1.94/2.04
% 1.94/2.04 cnf(cls_analz__cong_0,axiom,
% 1.94/2.04 ( c_Message_Oanalz(V_H) != c_Message_Oanalz(V_H_H)
% 1.94/2.04 | c_Message_Oanalz(V_G) != c_Message_Oanalz(V_G_H)
% 1.94/2.04 | c_Message_Oanalz(c_Lattices_Oupper__semilattice__class_Osup(V_G,V_H,tc_fun(tc_Message_Omsg,tc_bool))) = c_Message_Oanalz(c_Lattices_Oupper__semilattice__class_Osup(V_G_H,V_H_H,tc_fun(tc_Message_Omsg,tc_bool))) ) ).
% 1.94/2.04
% 1.94/2.04 cnf(cls_fun__Compl__def__raw_0,axiom,
% 1.94/2.04 ( ~ class_HOL_Ouminus(t_b)
% 1.94/2.04 | hAPP(c_HOL_Ouminus__class_Ouminus(v_A,tc_fun(t_a,t_b)),v_x) = c_HOL_Ouminus__class_Ouminus(hAPP(v_A,v_x),t_b) ) ).
% 1.94/2.04
% 1.94/2.04 cnf(cls_invKey__shrK_0,axiom,
% 1.94/2.04 c_Message_OinvKey(hAPP(c_Public_OshrK,V_A)) = hAPP(c_Public_OshrK,V_A) ).
% 1.94/2.04
% 1.94/2.04 cnf(cls_sorted__append_1,axiom,
% 1.94/2.04 ( ~ class_Orderings_Olinorder(T_a)
% 1.94/2.04 | c_List_Olinorder__class_Osorted(V_ys,T_a)
% 1.94/2.04 | ~ c_List_Olinorder__class_Osorted(c_List_Oappend(V_xs,V_ys,T_a),T_a) ) ).
% 1.94/2.04
% 1.94/2.04 cnf(cls_list__update__swap_0,axiom,
% 1.94/2.04 ( c_List_Olist__update(c_List_Olist__update(V_xs,V_i,V_x,T_a),V_i_H,V_x_H,T_a) = c_List_Olist__update(c_List_Olist__update(V_xs,V_i_H,V_x_H,T_a),V_i,V_x,T_a)
% 1.94/2.04 | V_i = V_i_H ) ).
% 1.94/2.04
% 1.94/2.04 cnf(cls_sorted__remdups_0,axiom,
% 1.94/2.04 ( ~ class_Orderings_Olinorder(T_a)
% 1.94/2.04 | c_List_Olinorder__class_Osorted(c_List_Oremdups(V_l,T_a),T_a)
% 1.94/2.04 | ~ c_List_Olinorder__class_Osorted(V_l,T_a) ) ).
% 1.94/2.04
% 1.94/2.04 cnf(cls_insert__mono_0,axiom,
% 1.94/2.04 ( c_lessequals(c_Set_Oinsert(V_a,V_C,T_a),c_Set_Oinsert(V_a,V_D,T_a),tc_fun(T_a,tc_bool))
% 1.94/2.04 | ~ c_lessequals(V_C,V_D,tc_fun(T_a,tc_bool)) ) ).
% 1.94/2.04
% 1.94/2.04 cnf(cls_append1__eq__conv_0,axiom,
% 1.94/2.04 ( c_List_Oappend(V_xs,c_List_Olist_OCons(V_x,c_List_Olist_ONil(T_a),T_a),T_a) != c_List_Oappend(V_ys,c_List_Olist_OCons(V_y,c_List_Olist_ONil(T_a),T_a),T_a)
% 1.94/2.04 | V_xs = V_ys ) ).
% 1.94/2.04
% 1.94/2.04 cnf(cls_append1__eq__conv_1,axiom,
% 1.94/2.04 ( c_List_Oappend(V_xs,c_List_Olist_OCons(V_x,c_List_Olist_ONil(T_a),T_a),T_a) != c_List_Oappend(V_ys,c_List_Olist_OCons(V_y,c_List_Olist_ONil(T_a),T_a),T_a)
% 1.94/2.04 | V_x = V_y ) ).
% 1.94/2.04
% 1.94/2.04 cnf(cls_append__in__lists__conv_0,axiom,
% 1.94/2.04 ( hBOOL(c_in(V_xs,c_List_Olists(V_A,T_a),tc_List_Olist(T_a)))
% 1.94/2.04 | ~ hBOOL(c_in(c_List_Oappend(V_xs,V_ys,T_a),c_List_Olists(V_A,T_a),tc_List_Olist(T_a))) ) ).
% 1.94/2.04
% 1.94/2.04 cnf(cls_append__in__lists__conv_1,axiom,
% 1.94/2.04 ( hBOOL(c_in(V_ys,c_List_Olists(V_A,T_a),tc_List_Olist(T_a)))
% 1.94/2.04 | ~ hBOOL(c_in(c_List_Oappend(V_xs,V_ys,T_a),c_List_Olists(V_A,T_a),tc_List_Olist(T_a))) ) ).
% 1.94/2.04
% 1.94/2.04 cnf(cls_append__is__Nil__conv_2,axiom,
% 1.94/2.04 c_List_Oappend(c_List_Olist_ONil(T_a),c_List_Olist_ONil(T_a),T_a) = c_List_Olist_ONil(T_a) ).
% 1.94/2.04
% 1.94/2.04 cnf(cls_image__Un_0,axiom,
% 1.94/2.04 c_Set_Oimage(V_f,c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_b,tc_bool)),T_b,T_a) = c_Lattices_Oupper__semilattice__class_Osup(c_Set_Oimage(V_f,V_A,T_b,T_a),c_Set_Oimage(V_f,V_B,T_b,T_a),tc_fun(T_a,tc_bool)) ).
% 1.94/2.04
% 1.94/2.04 cnf(cls_list__update__overwrite_0,axiom,
% 1.94/2.04 c_List_Olist__update(c_List_Olist__update(V_xs,V_i,V_x,T_a),V_i,V_y,T_a) = c_List_Olist__update(V_xs,V_i,V_y,T_a) ).
% 1.94/2.04
% 1.94/2.04 cnf(cls_append__assoc_0,axiom,
% 1.94/2.04 c_List_Oappend(c_List_Oappend(V_xs,V_ys,T_a),V_zs,T_a) = c_List_Oappend(V_xs,c_List_Oappend(V_ys,V_zs,T_a),T_a) ).
% 1.94/2.04
% 1.94/2.04 cnf(cls_append__eq__appendI_0,axiom,
% 1.94/2.04 c_List_Oappend(V_xs,c_List_Oappend(V_xs1,V_us,T_a),T_a) = c_List_Oappend(c_List_Oappend(V_xs,V_xs1,T_a),V_us,T_a) ).
% 1.94/2.04
% 1.94/2.04 cnf(cls_append__eq__append__conv2_4,axiom,
% 1.94/2.04 c_List_Oappend(c_List_Oappend(V_zs,V_x,T_a),V_ys,T_a) = c_List_Oappend(V_zs,c_List_Oappend(V_x,V_ys,T_a),T_a) ).
% 1.94/2.04
% 1.94/2.04 cnf(cls_append__eq__append__conv2_5,axiom,
% 1.94/2.04 c_List_Oappend(V_xs,c_List_Oappend(V_x,V_ts,T_a),T_a) = c_List_Oappend(c_List_Oappend(V_xs,V_x,T_a),V_ts,T_a) ).
% 1.94/2.04
% 1.94/2.04 cnf(cls_publicKey__neq__privateKey_0,axiom,
% 1.94/2.04 hAPP(c_Public_OpublicKey(V_c),V_A_H) != c_Message_OinvKey(hAPP(c_Public_OpublicKey(V_b),V_A)) ).
% 1.94/2.04
% 1.94/2.04 cnf(cls_inj__image__Compl__subset_0,axiom,
% 1.94/2.04 ( c_lessequals(c_Set_Oimage(V_f,c_HOL_Ouminus__class_Ouminus(V_A,tc_fun(T_a,tc_bool)),T_a,T_b),c_HOL_Ouminus__class_Ouminus(c_Set_Oimage(V_f,V_A,T_a,T_b),tc_fun(T_b,tc_bool)),tc_fun(T_b,tc_bool))
% 1.94/2.04 | ~ c_Fun_Oinj__on(V_f,c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_bool)),T_a,T_b) ) ).
% 1.94/2.04
% 1.94/2.04 cnf(cls_analz__image__freshK__lemma_5,axiom,
% 1.94/2.04 ( hBOOL(c_in(hAPP(c_Message_Omsg_OKey,V_K),c_Message_Oanalz(c_Lattices_Oupper__semilattice__class_Osup(c_Set_Oimage(c_Message_Omsg_OKey,V_nE,tc_nat,tc_Message_Omsg),V_H,tc_fun(tc_Message_Omsg,tc_bool))),tc_Message_Omsg))
% 1.94/2.04 | ~ hBOOL(c_in(hAPP(c_Message_Omsg_OKey,V_K),c_Message_Oanalz(V_H),tc_Message_Omsg))
% 1.94/2.04 | ~ hBOOL(c_in(hAPP(c_Message_Omsg_OKey,V_K),c_Message_Oanalz(V_H),tc_Message_Omsg)) ) ).
% 1.94/2.04
% 1.94/2.04 cnf(cls_analz__image__freshK__lemma_1,axiom,
% 1.94/2.04 ( hBOOL(c_in(hAPP(c_Message_Omsg_OKey,V_K),c_Message_Oanalz(c_Lattices_Oupper__semilattice__class_Osup(c_Set_Oimage(c_Message_Omsg_OKey,V_nE,tc_nat,tc_Message_Omsg),V_H,tc_fun(tc_Message_Omsg,tc_bool))),tc_Message_Omsg))
% 1.94/2.04 | ~ hBOOL(c_in(hAPP(c_Message_Omsg_OKey,V_K),c_Message_Oanalz(V_H),tc_Message_Omsg))
% 1.94/2.04 | hBOOL(c_in(hAPP(c_Message_Omsg_OKey,V_K),c_Message_Oanalz(c_Lattices_Oupper__semilattice__class_Osup(c_Set_Oimage(c_Message_Omsg_OKey,V_nE,tc_nat,tc_Message_Omsg),V_H,tc_fun(tc_Message_Omsg,tc_bool))),tc_Message_Omsg)) ) ).
% 1.94/2.04
% 1.94/2.04 cnf(cls_parts__insert__subset__Un_0,axiom,
% 1.94/2.04 ( c_lessequals(c_Message_Oparts(c_Set_Oinsert(V_X,V_H,tc_Message_Omsg)),c_Lattices_Oupper__semilattice__class_Osup(c_Message_Oparts(V_G),c_Message_Oparts(V_H),tc_fun(tc_Message_Omsg,tc_bool)),tc_fun(tc_Message_Omsg,tc_bool))
% 1.94/2.04 | ~ hBOOL(c_in(V_X,V_G,tc_Message_Omsg)) ) ).
% 1.94/2.04
% 1.94/2.04 cnf(cls_priK__in__initState_0,axiom,
% 1.94/2.04 hBOOL(c_in(hAPP(c_Message_Omsg_OKey,c_Message_OinvKey(hAPP(c_Public_OpublicKey(V_b),V_A))),c_Event_OinitState(V_A),tc_Message_Omsg)) ).
% 1.94/2.04
% 1.94/2.04 cnf(cls_keysFor__parts__insert_0,axiom,
% 1.94/2.04 ( hBOOL(c_in(hAPP(c_Message_Omsg_OKey,c_Message_OinvKey(V_K)),c_Message_Oparts(V_H),tc_Message_Omsg))
% 1.94/2.04 | hBOOL(c_in(V_K,c_Message_OkeysFor(c_Message_Oparts(c_Lattices_Oupper__semilattice__class_Osup(V_G,V_H,tc_fun(tc_Message_Omsg,tc_bool)))),tc_nat))
% 1.94/2.04 | ~ hBOOL(c_in(V_X,c_Message_Osynth(c_Message_Oanalz(V_H)),tc_Message_Omsg))
% 1.94/2.04 | ~ hBOOL(c_in(V_K,c_Message_OkeysFor(c_Message_Oparts(c_Set_Oinsert(V_X,V_G,tc_Message_Omsg))),tc_nat)) ) ).
% 1.94/2.04
% 1.94/2.04 cnf(cls_sorted_Osimps_I3_J_0,axiom,
% 1.94/2.04 ( ~ class_Orderings_Olinorder(T_a)
% 1.94/2.04 | c_lessequals(V_x,V_y,T_a)
% 1.94/2.04 | ~ c_List_Olinorder__class_Osorted(c_List_Olist_OCons(V_x,c_List_Olist_OCons(V_y,V_zs,T_a),T_a),T_a) ) ).
% 1.94/2.04
% 1.94/2.04 cnf(cls_sorted_Osimps_I3_J_2,axiom,
% 1.94/2.04 ( ~ class_Orderings_Olinorder(T_a)
% 1.94/2.04 | c_List_Olinorder__class_Osorted(c_List_Olist_OCons(V_x,c_List_Olist_OCons(V_y,V_zs,T_a),T_a),T_a)
% 1.94/2.04 | ~ c_List_Olinorder__class_Osorted(c_List_Olist_OCons(V_y,V_zs,T_a),T_a)
% 1.94/2.04 | ~ c_lessequals(V_x,V_y,T_a) ) ).
% 1.94/2.04
% 1.94/2.04 cnf(cls_subset__insert_0,axiom,
% 1.94/2.04 ( c_lessequals(V_A,V_B,tc_fun(T_a,tc_bool))
% 1.94/2.04 | ~ c_lessequals(V_A,c_Set_Oinsert(V_x,V_B,T_a),tc_fun(T_a,tc_bool))
% 1.94/2.04 | hBOOL(c_in(V_x,V_A,T_a)) ) ).
% 1.94/2.04
% 1.94/2.04 cnf(cls_subset__insert_1,axiom,
% 1.94/2.04 ( c_lessequals(V_A,c_Set_Oinsert(V_x,V_B,T_a),tc_fun(T_a,tc_bool))
% 1.94/2.04 | ~ c_lessequals(V_A,V_B,tc_fun(T_a,tc_bool))
% 1.94/2.04 | hBOOL(c_in(V_x,V_A,T_a)) ) ).
% 1.94/2.04
% 1.94/2.04 cnf(cls_subset__insert__iff_1,axiom,
% 1.94/2.04 ( c_lessequals(V_A,V_B,tc_fun(T_a,tc_bool))
% 1.94/2.04 | hBOOL(c_in(V_x,V_A,T_a))
% 1.94/2.04 | ~ c_lessequals(V_A,c_Set_Oinsert(V_x,V_B,T_a),tc_fun(T_a,tc_bool)) ) ).
% 1.94/2.04
% 1.94/2.04 cnf(cls_subset__insert__iff_2,axiom,
% 1.94/2.04 ( c_lessequals(V_A,c_Set_Oinsert(V_x,V_B,T_a),tc_fun(T_a,tc_bool))
% 1.94/2.04 | ~ c_lessequals(V_A,V_B,tc_fun(T_a,tc_bool))
% 1.94/2.04 | hBOOL(c_in(V_x,V_A,T_a)) ) ).
% 1.94/2.04
% 1.94/2.04 cnf(cls_insert__subset_0,axiom,
% 1.94/2.04 ( hBOOL(c_in(V_x,V_B,T_a))
% 1.94/2.04 | ~ c_lessequals(c_Set_Oinsert(V_x,V_A,T_a),V_B,tc_fun(T_a,tc_bool)) ) ).
% 1.94/2.04
% 1.94/2.04 cnf(cls_weak__coinduct_0,axiom,
% 1.94/2.04 ( hBOOL(c_in(V_a,c_Inductive_Ocomplete__lattice__class_Ogfp(V_f,tc_fun(T_a,tc_bool)),T_a))
% 1.94/2.04 | ~ c_lessequals(V_X,hAPP(V_f,V_X),tc_fun(T_a,tc_bool))
% 1.94/2.04 | ~ hBOOL(c_in(V_a,V_X,T_a)) ) ).
% 1.94/2.04
% 1.94/2.04 cnf(cls_insert__subset_2,axiom,
% 1.94/2.04 ( c_lessequals(c_Set_Oinsert(V_x,V_A,T_a),V_B,tc_fun(T_a,tc_bool))
% 1.94/2.04 | ~ c_lessequals(V_A,V_B,tc_fun(T_a,tc_bool))
% 1.94/2.04 | ~ hBOOL(c_in(V_x,V_B,T_a)) ) ).
% 1.94/2.04
% 1.94/2.04 cnf(cls_insert__image_0,axiom,
% 1.94/2.04 ( c_Set_Oinsert(hAPP(V_f,V_x),c_Set_Oimage(V_f,V_A,T_a,T_b),T_b) = c_Set_Oimage(V_f,V_A,T_a,T_b)
% 1.94/2.04 | ~ hBOOL(c_in(V_x,V_A,T_a)) ) ).
% 1.94/2.04
% 1.94/2.04 cnf(cls_List_Oset_Osimps_I2_J_0,axiom,
% 1.94/2.04 c_List_Oset(c_List_Olist_OCons(V_x,V_xs,T_a),T_a) = c_Set_Oinsert(V_x,c_List_Oset(V_xs,T_a),T_a) ).
% 1.94/2.04
% 1.94/2.04 cnf(cls_MPair__synth_0,axiom,
% 1.94/2.04 ( hBOOL(c_in(V_X,c_Message_Osynth(V_H),tc_Message_Omsg))
% 1.94/2.04 | hBOOL(c_in(c_Message_Omsg_OMPair(V_X,V_Y),V_H,tc_Message_Omsg))
% 1.94/2.04 | ~ hBOOL(c_in(c_Message_Omsg_OMPair(V_X,V_Y),c_Message_Osynth(V_H),tc_Message_Omsg)) ) ).
% 1.94/2.04
% 1.94/2.04 cnf(cls_MPair__synth_1,axiom,
% 1.94/2.04 ( hBOOL(c_in(V_Y,c_Message_Osynth(V_H),tc_Message_Omsg))
% 1.94/2.04 | hBOOL(c_in(c_Message_Omsg_OMPair(V_X,V_Y),V_H,tc_Message_Omsg))
% 1.94/2.04 | ~ hBOOL(c_in(c_Message_Omsg_OMPair(V_X,V_Y),c_Message_Osynth(V_H),tc_Message_Omsg)) ) ).
% 1.94/2.04
% 1.94/2.04 cnf(cls_synth_OMPair_0,axiom,
% 1.94/2.04 ( hBOOL(c_in(c_Message_Omsg_OMPair(V_X,V_Y),c_Message_Osynth(V_H),tc_Message_Omsg))
% 1.94/2.04 | ~ hBOOL(c_in(V_Y,c_Message_Osynth(V_H),tc_Message_Omsg))
% 1.94/2.04 | ~ hBOOL(c_in(V_X,c_Message_Osynth(V_H),tc_Message_Omsg)) ) ).
% 1.94/2.04
% 1.94/2.04 cnf(cls_in__parts__UnE_0,axiom,
% 1.94/2.04 ( hBOOL(c_in(V_c,c_Message_Oparts(V_H),tc_Message_Omsg))
% 1.94/2.04 | hBOOL(c_in(V_c,c_Message_Oparts(V_G),tc_Message_Omsg))
% 1.94/2.04 | ~ hBOOL(c_in(V_c,c_Message_Oparts(c_Lattices_Oupper__semilattice__class_Osup(V_G,V_H,tc_fun(tc_Message_Omsg,tc_bool))),tc_Message_Omsg)) ) ).
% 1.94/2.04
% 1.94/2.04 cnf(cls_parts__cut__eq_0,axiom,
% 1.94/2.04 ( c_Message_Oparts(c_Set_Oinsert(V_X,V_H,tc_Message_Omsg)) = c_Message_Oparts(V_H)
% 1.94/2.04 | ~ hBOOL(c_in(V_X,c_Message_Oparts(V_H),tc_Message_Omsg)) ) ).
% 1.94/2.04
% 1.94/2.04 cnf(cls_parts__insertI_0,axiom,
% 1.94/2.04 ( hBOOL(c_in(V_c,c_Message_Oparts(c_Set_Oinsert(V_a,V_G,tc_Message_Omsg)),tc_Message_Omsg))
% 1.94/2.04 | ~ hBOOL(c_in(V_c,c_Message_Oparts(V_G),tc_Message_Omsg)) ) ).
% 1.94/2.04
% 1.94/2.04 cnf(cls_parts__insert__MPair_0,axiom,
% 1.94/2.04 c_Message_Oparts(c_Set_Oinsert(c_Message_Omsg_OMPair(V_X,V_Y),V_H,tc_Message_Omsg)) = c_Set_Oinsert(c_Message_Omsg_OMPair(V_X,V_Y),c_Message_Oparts(c_Set_Oinsert(V_X,c_Set_Oinsert(V_Y,V_H,tc_Message_Omsg),tc_Message_Omsg)),tc_Message_Omsg) ).
% 1.94/2.04
% 1.94/2.04 cnf(cls_Crypt__synth_0,axiom,
% 1.94/2.04 ( hBOOL(c_in(V_X,c_Message_Osynth(V_H),tc_Message_Omsg))
% 1.94/2.04 | hBOOL(c_in(c_Message_Omsg_OCrypt(V_K,V_X),V_H,tc_Message_Omsg))
% 1.94/2.04 | ~ hBOOL(c_in(c_Message_Omsg_OCrypt(V_K,V_X),c_Message_Osynth(V_H),tc_Message_Omsg)) ) ).
% 1.94/2.04
% 1.94/2.04 cnf(cls_pushes_I12_J_0,axiom,
% 1.94/2.04 c_Set_Oinsert(c_Message_Omsg_OCrypt(V_X,V_K),c_Set_Oinsert(c_Message_Omsg_OMPair(V_X_H,V_Y),V_A,tc_Message_Omsg),tc_Message_Omsg) = c_Set_Oinsert(c_Message_Omsg_OMPair(V_X_H,V_Y),c_Set_Oinsert(c_Message_Omsg_OCrypt(V_X,V_K),V_A,tc_Message_Omsg),tc_Message_Omsg) ).
% 1.94/2.04
% 1.94/2.04 cnf(cls_Key__synth_0,axiom,
% 1.94/2.04 ( hBOOL(c_in(hAPP(c_Message_Omsg_OKey,V_K),V_H,tc_Message_Omsg))
% 1.94/2.04 | ~ hBOOL(c_in(hAPP(c_Message_Omsg_OKey,V_K),c_Message_Osynth(V_H),tc_Message_Omsg)) ) ).
% 1.94/2.04
% 1.94/2.04 cnf(cls_Key__synth__eq_1,axiom,
% 1.94/2.04 ( hBOOL(c_in(hAPP(c_Message_Omsg_OKey,V_K),c_Message_Osynth(V_H),tc_Message_Omsg))
% 1.94/2.04 | ~ hBOOL(c_in(hAPP(c_Message_Omsg_OKey,V_K),V_H,tc_Message_Omsg)) ) ).
% 1.94/2.04
% 1.94/2.04 cnf(cls_analz__insertI_0,axiom,
% 1.94/2.04 ( hBOOL(c_in(V_c,c_Message_Oanalz(c_Set_Oinsert(V_a,V_G,tc_Message_Omsg)),tc_Message_Omsg))
% 1.94/2.04 | ~ hBOOL(c_in(V_c,c_Message_Oanalz(V_G),tc_Message_Omsg)) ) ).
% 1.94/2.04
% 1.94/2.04 cnf(cls_analz__image__freshK__simps_I61_J_0,axiom,
% 1.94/2.04 ( hBOOL(c_in(V_c,c_Message_Oanalz(c_Lattices_Oupper__semilattice__class_Osup(V_A,V_G,tc_fun(tc_Message_Omsg,tc_bool))),tc_Message_Omsg))
% 1.94/2.04 | ~ hBOOL(c_in(V_c,c_Message_Oanalz(V_G),tc_Message_Omsg)) ) ).
% 1.94/2.04
% 1.94/2.04 cnf(cls_analz__insert__eq_0,axiom,
% 1.94/2.04 ( c_Message_Oanalz(c_Set_Oinsert(V_X,V_H,tc_Message_Omsg)) = c_Message_Oanalz(V_H)
% 1.94/2.04 | ~ hBOOL(c_in(V_X,c_Message_Oanalz(V_H),tc_Message_Omsg)) ) ).
% 1.94/2.04
% 1.94/2.04 cnf(cls_analz__cut_0,axiom,
% 1.94/2.04 ( hBOOL(c_in(V_Y,c_Message_Oanalz(V_H),tc_Message_Omsg))
% 1.94/2.04 | ~ hBOOL(c_in(V_X,c_Message_Oanalz(V_H),tc_Message_Omsg))
% 1.94/2.04 | ~ hBOOL(c_in(V_Y,c_Message_Oanalz(c_Set_Oinsert(V_X,V_H,tc_Message_Omsg)),tc_Message_Omsg)) ) ).
% 1.94/2.04
% 1.94/2.04 cnf(cls_inj__image__eq__iff_0,axiom,
% 1.94/2.04 ( c_Set_Oimage(V_f,V_A,T_a,T_b) != c_Set_Oimage(V_f,V_B,T_a,T_b)
% 1.94/2.04 | ~ c_Fun_Oinj__on(V_f,c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_bool)),T_a,T_b)
% 1.94/2.04 | V_A = V_B ) ).
% 1.94/2.04
% 1.94/2.04 cnf(cls_pushes_I5_J_0,axiom,
% 1.94/2.04 c_Set_Oinsert(hAPP(c_Message_Omsg_OKey,V_K),c_Set_Oinsert(c_Message_Omsg_OMPair(V_X,V_Y),V_A,tc_Message_Omsg),tc_Message_Omsg) = c_Set_Oinsert(c_Message_Omsg_OMPair(V_X,V_Y),c_Set_Oinsert(hAPP(c_Message_Omsg_OKey,V_K),V_A,tc_Message_Omsg),tc_Message_Omsg) ).
% 1.94/2.04
% 1.94/2.04 cnf(cls_analz__insert__MPair_0,axiom,
% 1.94/2.04 c_Message_Oanalz(c_Set_Oinsert(c_Message_Omsg_OMPair(V_X,V_Y),V_H,tc_Message_Omsg)) = c_Set_Oinsert(c_Message_Omsg_OMPair(V_X,V_Y),c_Message_Oanalz(c_Set_Oinsert(V_X,c_Set_Oinsert(V_Y,V_H,tc_Message_Omsg),tc_Message_Omsg)),tc_Message_Omsg) ).
% 1.94/2.04
% 1.94/2.04 cnf(cls_parts__insert__Crypt_0,axiom,
% 1.94/2.04 c_Message_Oparts(c_Set_Oinsert(c_Message_Omsg_OCrypt(V_K,V_X),V_H,tc_Message_Omsg)) = c_Set_Oinsert(c_Message_Omsg_OCrypt(V_K,V_X),c_Message_Oparts(c_Set_Oinsert(V_X,V_H,tc_Message_Omsg)),tc_Message_Omsg) ).
% 1.94/2.04
% 1.94/2.04 cnf(cls_Crypt__synth__analz_0,axiom,
% 1.94/2.04 ( hBOOL(c_in(V_X,c_Message_Osynth(c_Message_Oanalz(V_H)),tc_Message_Omsg))
% 1.94/2.04 | ~ hBOOL(c_in(c_Message_Omsg_OCrypt(V_K,V_X),c_Message_Osynth(c_Message_Oanalz(V_H)),tc_Message_Omsg))
% 1.94/2.04 | ~ hBOOL(c_in(hAPP(c_Message_Omsg_OKey,c_Message_OinvKey(V_K)),c_Message_Oanalz(V_H),tc_Message_Omsg))
% 1.94/2.04 | ~ hBOOL(c_in(hAPP(c_Message_Omsg_OKey,V_K),c_Message_Oanalz(V_H),tc_Message_Omsg)) ) ).
% 1.94/2.04
% 1.94/2.04 cnf(cls_Crypt__synth__analz_1,axiom,
% 1.94/2.04 ( hBOOL(c_in(c_Message_Omsg_OCrypt(V_K,V_X),c_Message_Osynth(c_Message_Oanalz(V_H)),tc_Message_Omsg))
% 1.94/2.04 | ~ hBOOL(c_in(V_X,c_Message_Osynth(c_Message_Oanalz(V_H)),tc_Message_Omsg))
% 1.94/2.04 | ~ hBOOL(c_in(hAPP(c_Message_Omsg_OKey,c_Message_OinvKey(V_K)),c_Message_Oanalz(V_H),tc_Message_Omsg))
% 1.94/2.04 | ~ hBOOL(c_in(hAPP(c_Message_Omsg_OKey,V_K),c_Message_Oanalz(V_H),tc_Message_Omsg)) ) ).
% 1.94/2.04
% 1.94/2.04 cnf(cls_analz__Crypt__if_1,axiom,
% 1.94/2.04 ( c_Message_Oanalz(c_Set_Oinsert(c_Message_Omsg_OCrypt(V_K,V_X),V_H,tc_Message_Omsg)) = c_Set_Oinsert(c_Message_Omsg_OCrypt(V_K,V_X),c_Message_Oanalz(V_H),tc_Message_Omsg)
% 1.94/2.04 | hBOOL(c_in(hAPP(c_Message_Omsg_OKey,c_Message_OinvKey(V_K)),c_Message_Oanalz(V_H),tc_Message_Omsg)) ) ).
% 1.94/2.04
% 1.94/2.04 cnf(cls_analz__Crypt__if_0,axiom,
% 1.94/2.04 ( c_Message_Oanalz(c_Set_Oinsert(c_Message_Omsg_OCrypt(V_K,V_X),V_H,tc_Message_Omsg)) = c_Set_Oinsert(c_Message_Omsg_OCrypt(V_K,V_X),c_Message_Oanalz(c_Set_Oinsert(V_X,V_H,tc_Message_Omsg)),tc_Message_Omsg)
% 1.94/2.04 | ~ hBOOL(c_in(hAPP(c_Message_Omsg_OKey,c_Message_OinvKey(V_K)),c_Message_Oanalz(V_H),tc_Message_Omsg)) ) ).
% 1.94/2.04
% 1.94/2.04 cnf(cls_parts__image__Key_0,axiom,
% 1.94/2.04 c_Message_Oparts(c_Set_Oimage(c_Message_Omsg_OKey,V_N,tc_nat,tc_Message_Omsg)) = c_Set_Oimage(c_Message_Omsg_OKey,V_N,tc_nat,tc_Message_Omsg) ).
% 1.94/2.04
% 1.94/2.04 cnf(cls_parts__insert__Key_0,axiom,
% 1.94/2.04 c_Message_Oparts(c_Set_Oinsert(hAPP(c_Message_Omsg_OKey,V_K),V_H,tc_Message_Omsg)) = c_Set_Oinsert(hAPP(c_Message_Omsg_OKey,V_K),c_Message_Oparts(V_H),tc_Message_Omsg) ).
% 1.94/2.04
% 1.94/2.04 cnf(cls_Agent__synth_0,axiom,
% 1.94/2.04 hBOOL(c_in(c_Message_Omsg_OAgent(V_A),c_Message_Osynth(V_H),tc_Message_Omsg)) ).
% 1.94/2.04
% 1.94/2.04 cnf(cls_synth_OAgent_0,axiom,
% 1.94/2.04 hBOOL(c_in(c_Message_Omsg_OAgent(V_agt),c_Message_Osynth(V_H),tc_Message_Omsg)) ).
% 1.94/2.04
% 1.94/2.04 cnf(cls_pushes_I6_J_0,axiom,
% 1.94/2.04 c_Set_Oinsert(hAPP(c_Message_Omsg_OKey,V_K),c_Set_Oinsert(c_Message_Omsg_OCrypt(V_X,V_K_H),V_A,tc_Message_Omsg),tc_Message_Omsg) = c_Set_Oinsert(c_Message_Omsg_OCrypt(V_X,V_K_H),c_Set_Oinsert(hAPP(c_Message_Omsg_OKey,V_K),V_A,tc_Message_Omsg),tc_Message_Omsg) ).
% 1.94/2.04
% 1.94/2.04 cnf(cls_analz__image__freshK__lemma_3,axiom,
% 1.94/2.04 ( hBOOL(c_in(hAPP(c_Message_Omsg_OKey,V_K),c_Message_Oanalz(c_Lattices_Oupper__semilattice__class_Osup(c_Set_Oimage(c_Message_Omsg_OKey,V_nE,tc_nat,tc_Message_Omsg),V_H,tc_fun(tc_Message_Omsg,tc_bool))),tc_Message_Omsg))
% 1.94/2.04 | ~ hBOOL(c_in(hAPP(c_Message_Omsg_OKey,V_K),c_Message_Oanalz(V_H),tc_Message_Omsg))
% 1.94/2.04 | ~ hBOOL(c_in(V_K,V_nE,tc_nat)) ) ).
% 1.94/2.04
% 1.94/2.04 cnf(cls_analz__image__freshK__lemma_4,axiom,
% 1.94/2.04 ( hBOOL(c_in(hAPP(c_Message_Omsg_OKey,V_K),c_Message_Oanalz(c_Lattices_Oupper__semilattice__class_Osup(c_Set_Oimage(c_Message_Omsg_OKey,V_nE,tc_nat,tc_Message_Omsg),V_H,tc_fun(tc_Message_Omsg,tc_bool))),tc_Message_Omsg))
% 1.94/2.04 | ~ hBOOL(c_in(V_K,V_nE,tc_nat))
% 1.94/2.04 | ~ hBOOL(c_in(hAPP(c_Message_Omsg_OKey,V_K),c_Message_Oanalz(V_H),tc_Message_Omsg)) ) ).
% 1.94/2.04
% 1.94/2.04 cnf(cls_analz__image__freshK__lemma_0,axiom,
% 1.94/2.04 ( hBOOL(c_in(hAPP(c_Message_Omsg_OKey,V_K),c_Message_Oanalz(c_Lattices_Oupper__semilattice__class_Osup(c_Set_Oimage(c_Message_Omsg_OKey,V_nE,tc_nat,tc_Message_Omsg),V_H,tc_fun(tc_Message_Omsg,tc_bool))),tc_Message_Omsg))
% 1.94/2.04 | ~ hBOOL(c_in(V_K,V_nE,tc_nat))
% 1.94/2.04 | hBOOL(c_in(hAPP(c_Message_Omsg_OKey,V_K),c_Message_Oanalz(c_Lattices_Oupper__semilattice__class_Osup(c_Set_Oimage(c_Message_Omsg_OKey,V_nE,tc_nat,tc_Message_Omsg),V_H,tc_fun(tc_Message_Omsg,tc_bool))),tc_Message_Omsg)) ) ).
% 1.94/2.04
% 1.94/2.04 cnf(cls_analz__image__freshK__lemma_2,axiom,
% 1.94/2.04 ( hBOOL(c_in(hAPP(c_Message_Omsg_OKey,V_K),c_Message_Oanalz(c_Lattices_Oupper__semilattice__class_Osup(c_Set_Oimage(c_Message_Omsg_OKey,V_nE,tc_nat,tc_Message_Omsg),V_H,tc_fun(tc_Message_Omsg,tc_bool))),tc_Message_Omsg))
% 1.94/2.04 | ~ hBOOL(c_in(V_K,V_nE,tc_nat))
% 1.94/2.04 | ~ hBOOL(c_in(V_K,V_nE,tc_nat)) ) ).
% 1.94/2.04
% 1.94/2.04 cnf(cls_analz__image__Key_0,axiom,
% 1.94/2.04 c_Message_Oanalz(c_Set_Oimage(c_Message_Omsg_OKey,V_N,tc_nat,tc_Message_Omsg)) = c_Set_Oimage(c_Message_Omsg_OKey,V_N,tc_nat,tc_Message_Omsg) ).
% 1.94/2.04
% 1.94/2.04 cnf(cls_Nonce__synth_0,axiom,
% 1.94/2.04 ( hBOOL(c_in(c_Message_Omsg_ONonce(V_n),V_H,tc_Message_Omsg))
% 1.94/2.04 | ~ hBOOL(c_in(c_Message_Omsg_ONonce(V_n),c_Message_Osynth(V_H),tc_Message_Omsg)) ) ).
% 1.94/2.04
% 1.94/2.04 cnf(cls_Nonce__synth__eq_0,axiom,
% 1.94/2.04 ( hBOOL(c_in(c_Message_Omsg_ONonce(V_N),V_H,tc_Message_Omsg))
% 1.94/2.04 | ~ hBOOL(c_in(c_Message_Omsg_ONonce(V_N),c_Message_Osynth(V_H),tc_Message_Omsg)) ) ).
% 1.94/2.04
% 1.94/2.04 cnf(cls_Nonce__synth__eq_1,axiom,
% 1.94/2.04 ( hBOOL(c_in(c_Message_Omsg_ONonce(V_N),c_Message_Osynth(V_H),tc_Message_Omsg))
% 1.94/2.04 | ~ hBOOL(c_in(c_Message_Omsg_ONonce(V_N),V_H,tc_Message_Omsg)) ) ).
% 1.94/2.04
% 1.94/2.04 cnf(cls_parts__insert__Agent_0,axiom,
% 1.94/2.04 c_Message_Oparts(c_Set_Oinsert(c_Message_Omsg_OAgent(V_agt),V_H,tc_Message_Omsg)) = c_Set_Oinsert(c_Message_Omsg_OAgent(V_agt),c_Message_Oparts(V_H),tc_Message_Omsg) ).
% 1.94/2.04
% 1.94/2.04 cnf(cls_pushes_I8_J_0,axiom,
% 1.94/2.04 c_Set_Oinsert(c_Message_Omsg_OCrypt(V_X,V_K),c_Set_Oinsert(c_Message_Omsg_OAgent(V_C),V_A,tc_Message_Omsg),tc_Message_Omsg) = c_Set_Oinsert(c_Message_Omsg_OAgent(V_C),c_Set_Oinsert(c_Message_Omsg_OCrypt(V_X,V_K),V_A,tc_Message_Omsg),tc_Message_Omsg) ).
% 1.94/2.04
% 1.94/2.04 cnf(cls_synth__analz__insert__eq_0,axiom,
% 1.94/2.04 ( hBOOL(c_in(hAPP(c_Message_Omsg_OKey,V_K),c_Message_Oanalz(V_G),tc_Message_Omsg))
% 1.94/2.04 | ~ hBOOL(c_in(hAPP(c_Message_Omsg_OKey,V_K),c_Message_Oanalz(c_Set_Oinsert(V_X,V_G,tc_Message_Omsg)),tc_Message_Omsg))
% 1.94/2.04 | ~ c_lessequals(V_H,V_G,tc_fun(tc_Message_Omsg,tc_bool))
% 1.94/2.04 | ~ hBOOL(c_in(V_X,c_Message_Osynth(c_Message_Oanalz(V_H)),tc_Message_Omsg)) ) ).
% 1.94/2.04
% 1.94/2.04 cnf(cls_synth__analz__insert__eq_1,axiom,
% 1.94/2.04 ( hBOOL(c_in(hAPP(c_Message_Omsg_OKey,V_K),c_Message_Oanalz(c_Set_Oinsert(V_X,V_G,tc_Message_Omsg)),tc_Message_Omsg))
% 1.94/2.04 | ~ hBOOL(c_in(hAPP(c_Message_Omsg_OKey,V_K),c_Message_Oanalz(V_G),tc_Message_Omsg))
% 1.94/2.04 | ~ c_lessequals(V_H,V_G,tc_fun(tc_Message_Omsg,tc_bool))
% 1.94/2.04 | ~ hBOOL(c_in(V_X,c_Message_Osynth(c_Message_Oanalz(V_H)),tc_Message_Omsg)) ) ).
% 1.94/2.04
% 1.94/2.04 cnf(cls_pushes_I1_J_0,axiom,
% 1.94/2.04 c_Set_Oinsert(hAPP(c_Message_Omsg_OKey,V_K),c_Set_Oinsert(c_Message_Omsg_OAgent(V_C),V_A,tc_Message_Omsg),tc_Message_Omsg) = c_Set_Oinsert(c_Message_Omsg_OAgent(V_C),c_Set_Oinsert(hAPP(c_Message_Omsg_OKey,V_K),V_A,tc_Message_Omsg),tc_Message_Omsg) ).
% 1.94/2.04
% 1.94/2.04 cnf(cls_parts__insert__Nonce_0,axiom,
% 1.94/2.04 c_Message_Oparts(c_Set_Oinsert(c_Message_Omsg_ONonce(V_N),V_H,tc_Message_Omsg)) = c_Set_Oinsert(c_Message_Omsg_ONonce(V_N),c_Message_Oparts(V_H),tc_Message_Omsg) ).
% 1.94/2.04
% 1.94/2.04 cnf(cls_analz__insert__Agent_0,axiom,
% 1.94/2.04 c_Message_Oanalz(c_Set_Oinsert(c_Message_Omsg_OAgent(V_agt),V_H,tc_Message_Omsg)) = c_Set_Oinsert(c_Message_Omsg_OAgent(V_agt),c_Message_Oanalz(V_H),tc_Message_Omsg) ).
% 1.94/2.04
% 1.94/2.04 cnf(cls_pushes_I9_J_0,axiom,
% 1.94/2.04 c_Set_Oinsert(c_Message_Omsg_OCrypt(V_X,V_K),c_Set_Oinsert(c_Message_Omsg_ONonce(V_N),V_A,tc_Message_Omsg),tc_Message_Omsg) = c_Set_Oinsert(c_Message_Omsg_ONonce(V_N),c_Set_Oinsert(c_Message_Omsg_OCrypt(V_X,V_K),V_A,tc_Message_Omsg),tc_Message_Omsg) ).
% 1.94/2.04
% 1.94/2.04 cnf(cls_pushes_I2_J_0,axiom,
% 1.94/2.04 c_Set_Oinsert(hAPP(c_Message_Omsg_OKey,V_K),c_Set_Oinsert(c_Message_Omsg_ONonce(V_N),V_A,tc_Message_Omsg),tc_Message_Omsg) = c_Set_Oinsert(c_Message_Omsg_ONonce(V_N),c_Set_Oinsert(hAPP(c_Message_Omsg_OKey,V_K),V_A,tc_Message_Omsg),tc_Message_Omsg) ).
% 1.94/2.04
% 1.94/2.04 cnf(cls_synth__trans_0,axiom,
% 1.94/2.04 ( hBOOL(c_in(V_X,c_Message_Osynth(V_H),tc_Message_Omsg))
% 1.94/2.04 | ~ c_lessequals(V_G,c_Message_Osynth(V_H),tc_fun(tc_Message_Omsg,tc_bool))
% 1.94/2.04 | ~ hBOOL(c_in(V_X,c_Message_Osynth(V_G),tc_Message_Omsg)) ) ).
% 1.94/2.04
% 1.94/2.04 cnf(cls_analz__insert__Nonce_0,axiom,
% 1.94/2.04 c_Message_Oanalz(c_Set_Oinsert(c_Message_Omsg_ONonce(V_N),V_H,tc_Message_Omsg)) = c_Set_Oinsert(c_Message_Omsg_ONonce(V_N),c_Message_Oanalz(V_H),tc_Message_Omsg) ).
% 1.94/2.04
% 1.94/2.04 cnf(cls_parts__Un__subset1_0,axiom,
% 1.94/2.04 c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(c_Message_Oparts(V_G),c_Message_Oparts(V_H),tc_fun(tc_Message_Omsg,tc_bool)),c_Message_Oparts(c_Lattices_Oupper__semilattice__class_Osup(V_G,V_H,tc_fun(tc_Message_Omsg,tc_bool))),tc_fun(tc_Message_Omsg,tc_bool)) ).
% 1.94/2.04
% 1.94/2.04 cnf(cls_parts__Un__subset2_0,axiom,
% 1.94/2.04 c_lessequals(c_Message_Oparts(c_Lattices_Oupper__semilattice__class_Osup(V_G,V_H,tc_fun(tc_Message_Omsg,tc_bool))),c_Lattices_Oupper__semilattice__class_Osup(c_Message_Oparts(V_G),c_Message_Oparts(V_H),tc_fun(tc_Message_Omsg,tc_bool)),tc_fun(tc_Message_Omsg,tc_bool)) ).
% 1.94/2.04
% 1.94/2.04 cnf(cls_parts__insert__subset_0,axiom,
% 1.94/2.04 c_lessequals(c_Set_Oinsert(V_X,c_Message_Oparts(V_H),tc_Message_Omsg),c_Message_Oparts(c_Set_Oinsert(V_X,V_H,tc_Message_Omsg)),tc_fun(tc_Message_Omsg,tc_bool)) ).
% 1.94/2.04
% 1.94/2.04 cnf(cls_synth__analz__mono_0,axiom,
% 1.94/2.04 ( c_lessequals(c_Message_Osynth(c_Message_Oanalz(V_G)),c_Message_Osynth(c_Message_Oanalz(V_H)),tc_fun(tc_Message_Omsg,tc_bool))
% 1.94/2.04 | ~ c_lessequals(V_G,V_H,tc_fun(tc_Message_Omsg,tc_bool)) ) ).
% 1.94/2.04
% 1.94/2.04 cnf(cls_analz__Un_0,axiom,
% 1.94/2.04 c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(c_Message_Oanalz(V_G),c_Message_Oanalz(V_H),tc_fun(tc_Message_Omsg,tc_bool)),c_Message_Oanalz(c_Lattices_Oupper__semilattice__class_Osup(V_G,V_H,tc_fun(tc_Message_Omsg,tc_bool))),tc_fun(tc_Message_Omsg,tc_bool)) ).
% 1.94/2.04
% 1.94/2.04 cnf(cls_analz__insert_0,axiom,
% 1.94/2.04 c_lessequals(c_Set_Oinsert(V_X,c_Message_Oanalz(V_H),tc_Message_Omsg),c_Message_Oanalz(c_Set_Oinsert(V_X,V_H,tc_Message_Omsg)),tc_fun(tc_Message_Omsg,tc_bool)) ).
% 1.94/2.04
% 1.94/2.04 cnf(cls_analz__subset__cong_0,axiom,
% 1.94/2.04 ( c_lessequals(c_Message_Oanalz(c_Lattices_Oupper__semilattice__class_Osup(V_G,V_H,tc_fun(tc_Message_Omsg,tc_bool))),c_Message_Oanalz(c_Lattices_Oupper__semilattice__class_Osup(V_G_H,V_H_H,tc_fun(tc_Message_Omsg,tc_bool))),tc_fun(tc_Message_Omsg,tc_bool))
% 1.94/2.04 | ~ c_lessequals(c_Message_Oanalz(V_H),c_Message_Oanalz(V_H_H),tc_fun(tc_Message_Omsg,tc_bool))
% 1.94/2.04 | ~ c_lessequals(c_Message_Oanalz(V_G),c_Message_Oanalz(V_G_H),tc_fun(tc_Message_Omsg,tc_bool)) ) ).
% 1.94/2.04
% 1.94/2.04 cnf(cls_keysFor__insert__MPair_0,axiom,
% 1.94/2.04 c_Message_OkeysFor(c_Set_Oinsert(c_Message_Omsg_OMPair(V_X,V_Y),V_H,tc_Message_Omsg)) = c_Message_OkeysFor(V_H) ).
% 1.94/2.04
% 1.94/2.04 cnf(cls_initState__subset__knows_0,axiom,
% 1.94/2.04 c_lessequals(c_Event_OinitState(V_A),c_Event_Oknows(V_A,V_evs),tc_fun(tc_Message_Omsg,tc_bool)) ).
% 1.94/2.04
% 1.94/2.04 cnf(cls_keysFor__insert__Key_0,axiom,
% 1.94/2.04 c_Message_OkeysFor(c_Set_Oinsert(hAPP(c_Message_Omsg_OKey,V_K),V_H,tc_Message_Omsg)) = c_Message_OkeysFor(V_H) ).
% 1.94/2.04
% 1.94/2.04 cnf(cls_priK__neq__shrK_0,axiom,
% 1.94/2.04 hAPP(c_Public_OshrK,V_A) != c_Message_OinvKey(hAPP(c_Public_OpublicKey(V_b),V_C)) ).
% 1.94/2.04
% 1.94/2.04 cnf(cls_shrK__neq__priK_0,axiom,
% 1.94/2.04 c_Message_OinvKey(hAPP(c_Public_OpublicKey(V_b),V_C)) != hAPP(c_Public_OshrK,V_A) ).
% 1.94/2.04
% 1.94/2.04 cnf(cls_keysFor__insert__Agent_0,axiom,
% 1.94/2.04 c_Message_OkeysFor(c_Set_Oinsert(c_Message_Omsg_OAgent(V_A),V_H,tc_Message_Omsg)) = c_Message_OkeysFor(V_H) ).
% 1.94/2.04
% 1.94/2.04 cnf(cls_keysFor__insert__Nonce_0,axiom,
% 1.94/2.04 c_Message_OkeysFor(c_Set_Oinsert(c_Message_Omsg_ONonce(V_N),V_H,tc_Message_Omsg)) = c_Message_OkeysFor(V_H) ).
% 1.94/2.04
% 1.94/2.04 cnf(cls_used__nil__subset_0,axiom,
% 1.94/2.04 c_lessequals(c_Event_Oused(c_List_Olist_ONil(tc_Event_Oevent)),c_Event_Oused(V_evs),tc_fun(tc_Message_Omsg,tc_bool)) ).
% 1.94/2.04
% 1.94/2.04 cnf(cls_keysFor__mono_0,axiom,
% 1.94/2.04 ( c_lessequals(c_Message_OkeysFor(V_G),c_Message_OkeysFor(V_H),tc_fun(tc_nat,tc_bool))
% 1.94/2.04 | ~ c_lessequals(V_G,V_H,tc_fun(tc_Message_Omsg,tc_bool)) ) ).
% 1.94/2.04
% 1.94/2.04 cnf(cls_ns__shared_ONil_0,axiom,
% 1.94/2.04 hBOOL(c_in(c_List_Olist_ONil(tc_Event_Oevent),c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))) ).
% 1.94/2.04
% 1.94/2.04 cnf(cls_symKeys__invKey__iff_0,axiom,
% 1.94/2.04 ( hBOOL(c_in(V_K,c_Message_OsymKeys,tc_nat))
% 1.94/2.04 | ~ hBOOL(c_in(c_Message_OinvKey(V_K),c_Message_OsymKeys,tc_nat)) ) ).
% 1.94/2.04
% 1.94/2.04 cnf(cls_symKeys__invKey__iff_1,axiom,
% 1.94/2.04 ( hBOOL(c_in(c_Message_OinvKey(V_K),c_Message_OsymKeys,tc_nat))
% 1.94/2.04 | ~ hBOOL(c_in(V_K,c_Message_OsymKeys,tc_nat)) ) ).
% 1.94/2.04
% 1.94/2.04 cnf(cls_invKey__K_0,axiom,
% 1.94/2.04 ( c_Message_OinvKey(V_K) = V_K
% 1.94/2.04 | ~ hBOOL(c_in(V_K,c_Message_OsymKeys,tc_nat)) ) ).
% 1.94/2.04
% 1.94/2.04 cnf(cls_Spy__not__see__encrypted__key_0,axiom,
% 1.94/2.04 ( ~ hBOOL(c_in(hAPP(c_Message_Omsg_OKey,V_K),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,V_evs)),tc_Message_Omsg))
% 1.94/2.04 | ~ hBOOL(c_in(V_evs,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent)))
% 1.94/2.04 | hBOOL(c_in(V_B,c_Event_Obad,tc_Message_Oagent))
% 1.94/2.04 | hBOOL(c_in(V_A,c_Event_Obad,tc_Message_Oagent))
% 1.94/2.04 | hBOOL(c_in(c_Event_Oevent_ONotes(c_Message_Oagent_OSpy,c_Message_Omsg_OMPair(V_NA,c_Message_Omsg_OMPair(v_sko__NS__Shared__Mirabelle__XSpy__not__see__encrypted__key__1(V_K,V_NA,V_evs),hAPP(c_Message_Omsg_OKey,V_K)))),c_List_Oset(V_evs,tc_Event_Oevent),tc_Event_Oevent))
% 1.94/2.04 | ~ hBOOL(c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,V_A,c_Message_Omsg_OCrypt(V_K_H,c_Message_Omsg_OMPair(V_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(V_B),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,V_K),V_X))))),c_List_Oset(V_evs,tc_Event_Oevent),tc_Event_Oevent)) ) ).
% 1.94/2.04
% 1.94/2.04 cnf(cls_analz__insert__freshK_2,axiom,
% 1.94/2.04 ( hBOOL(c_in(hAPP(c_Message_Omsg_OKey,V_K),c_Message_Oanalz(c_Set_Oinsert(hAPP(c_Message_Omsg_OKey,V_KAB),c_Event_Oknows(c_Message_Oagent_OSpy,V_evs),tc_Message_Omsg)),tc_Message_Omsg))
% 1.94/2.04 | ~ hBOOL(c_in(hAPP(c_Message_Omsg_OKey,V_K),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,V_evs)),tc_Message_Omsg))
% 1.94/2.04 | hBOOL(c_in(V_KAB,c_Set_Oimage(c_Public_OshrK,c_Orderings_Otop__class_Otop(tc_fun(tc_Message_Oagent,tc_bool)),tc_Message_Oagent,tc_nat),tc_nat))
% 1.94/2.04 | ~ hBOOL(c_in(V_evs,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))) ) ).
% 1.94/2.04
% 1.94/2.04 cnf(cls_analz__insert__freshK_0,axiom,
% 1.94/2.04 ( hBOOL(c_in(hAPP(c_Message_Omsg_OKey,V_K),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,V_evs)),tc_Message_Omsg))
% 1.94/2.04 | V_K = V_KAB
% 1.94/2.04 | ~ hBOOL(c_in(hAPP(c_Message_Omsg_OKey,V_K),c_Message_Oanalz(c_Set_Oinsert(hAPP(c_Message_Omsg_OKey,V_KAB),c_Event_Oknows(c_Message_Oagent_OSpy,V_evs),tc_Message_Omsg)),tc_Message_Omsg))
% 1.94/2.04 | hBOOL(c_in(V_KAB,c_Set_Oimage(c_Public_OshrK,c_Orderings_Otop__class_Otop(tc_fun(tc_Message_Oagent,tc_bool)),tc_Message_Oagent,tc_nat),tc_nat))
% 1.94/2.04 | ~ hBOOL(c_in(V_evs,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))) ) ).
% 1.94/2.04
% 1.94/2.04 cnf(cls_analz__insert__freshK_1,axiom,
% 1.94/2.04 ( hBOOL(c_in(V_x,c_Set_Oimage(c_Public_OshrK,c_Orderings_Otop__class_Otop(tc_fun(tc_Message_Oagent,tc_bool)),tc_Message_Oagent,tc_nat),tc_nat))
% 1.94/2.04 | ~ hBOOL(c_in(V_evs,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent)))
% 1.94/2.04 | hBOOL(c_in(hAPP(c_Message_Omsg_OKey,V_x),c_Message_Oanalz(c_Set_Oinsert(hAPP(c_Message_Omsg_OKey,V_x),c_Event_Oknows(c_Message_Oagent_OSpy,V_evs),tc_Message_Omsg)),tc_Message_Omsg)) ) ).
% 1.94/2.04
% 1.94/2.04 cnf(cls_ns__shared_OFake_0,axiom,
% 1.94/2.04 ( hBOOL(c_in(c_List_Olist_OCons(c_Event_Oevent_OSays(c_Message_Oagent_OSpy,V_B,V_X),V_evsf,tc_Event_Oevent),c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent)))
% 1.94/2.04 | ~ hBOOL(c_in(V_X,c_Message_Osynth(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,V_evsf))),tc_Message_Omsg))
% 1.94/2.04 | ~ hBOOL(c_in(V_evsf,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))) ) ).
% 1.94/2.04
% 1.94/2.04 cnf(cls_ns__sharedp_OFake_0,axiom,
% 1.94/2.04 ( hBOOL(c_NS__Shared__Mirabelle_Ons__sharedp(c_List_Olist_OCons(c_Event_Oevent_OSays(c_Message_Oagent_OSpy,V_B,V_X),V_evsf,tc_Event_Oevent)))
% 1.94/2.04 | ~ hBOOL(c_in(V_X,c_Message_Osynth(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,V_evsf))),tc_Message_Omsg))
% 1.94/2.04 | ~ hBOOL(c_NS__Shared__Mirabelle_Ons__sharedp(V_evsf)) ) ).
% 1.94/2.04
% 1.94/2.04 cnf(cls_Spy__spies__bad__privateKey_0,axiom,
% 1.94/2.04 ( hBOOL(c_in(hAPP(c_Message_Omsg_OKey,c_Message_OinvKey(hAPP(c_Public_OpublicKey(V_b),V_A))),c_Event_Oknows(c_Message_Oagent_OSpy,V_evs),tc_Message_Omsg))
% 1.94/2.04 | ~ hBOOL(c_in(V_A,c_Event_Obad,tc_Message_Oagent)) ) ).
% 1.94/2.04
% 1.94/2.04 cnf(cls_knows__Spy__Notes_0,axiom,
% 1.94/2.04 ( c_Event_Oknows(c_Message_Oagent_OSpy,c_List_Olist_OCons(c_Event_Oevent_ONotes(V_A,V_X),V_evs,tc_Event_Oevent)) = c_Set_Oinsert(V_X,c_Event_Oknows(c_Message_Oagent_OSpy,V_evs),tc_Message_Omsg)
% 1.94/2.04 | ~ hBOOL(c_in(V_A,c_Event_Obad,tc_Message_Oagent)) ) ).
% 1.94/2.04
% 1.94/2.04 cnf(cls_knows__Gets_0,axiom,
% 1.94/2.04 ( c_Event_Oknows(V_A,c_List_Olist_OCons(c_Event_Oevent_OGets(V_A,V_X),V_evs,tc_Event_Oevent)) = c_Set_Oinsert(V_X,c_Event_Oknows(V_A,V_evs),tc_Message_Omsg)
% 1.94/2.04 | V_A = c_Message_Oagent_OSpy ) ).
% 1.94/2.04
% 1.94/2.04 cnf(cls_privateKey__notin__image__shrK_0,axiom,
% 1.94/2.04 ~ hBOOL(c_in(c_Message_OinvKey(hAPP(c_Public_OpublicKey(V_b),V_x)),c_Set_Oimage(c_Public_OshrK,V_AA,tc_Message_Oagent,tc_nat),tc_nat)) ).
% 1.94/2.04
% 1.94/2.04 cnf(cls_knows__Spy__Says_0,axiom,
% 1.94/2.04 c_Event_Oknows(c_Message_Oagent_OSpy,c_List_Olist_OCons(c_Event_Oevent_OSays(V_A,V_B,V_X),V_evs,tc_Event_Oevent)) = c_Set_Oinsert(V_X,c_Event_Oknows(c_Message_Oagent_OSpy,V_evs),tc_Message_Omsg) ).
% 1.94/2.04
% 1.94/2.04 cnf(cls_knows__imp__Says__Gets__Notes__initState_0,axiom,
% 1.94/2.04 ( hBOOL(c_in(V_X,c_Event_OinitState(V_A),tc_Message_Omsg))
% 1.94/2.04 | hBOOL(c_in(c_Event_Oevent_ONotes(V_A,V_X),c_List_Oset(V_evs,tc_Event_Oevent),tc_Event_Oevent))
% 1.94/2.04 | hBOOL(c_in(c_Event_Oevent_OGets(V_A,V_X),c_List_Oset(V_evs,tc_Event_Oevent),tc_Event_Oevent))
% 1.94/2.04 | hBOOL(c_in(c_Event_Oevent_OSays(V_A,c_Event_Osko__Event__Xknows__imp__Says__Gets__Notes__initState__1__1(V_A,V_X,V_evs),V_X),c_List_Oset(V_evs,tc_Event_Oevent),tc_Event_Oevent))
% 1.94/2.04 | V_A = c_Message_Oagent_OSpy
% 1.94/2.04 | ~ hBOOL(c_in(V_X,c_Event_Oknows(V_A,V_evs),tc_Message_Omsg)) ) ).
% 1.94/2.04
% 1.94/2.04 cnf(cls_analz__insert__Key_0,axiom,
% 1.94/2.04 ( c_Message_Oanalz(c_Set_Oinsert(hAPP(c_Message_Omsg_OKey,V_K),V_H,tc_Message_Omsg)) = c_Set_Oinsert(hAPP(c_Message_Omsg_OKey,V_K),c_Message_Oanalz(V_H),tc_Message_Omsg)
% 1.94/2.04 | hBOOL(c_in(V_K,c_Message_OkeysFor(c_Message_Oanalz(V_H)),tc_nat)) ) ).
% 1.94/2.04
% 1.94/2.04 cnf(cls_privateKey__into__used_0,axiom,
% 1.94/2.04 hBOOL(c_in(hAPP(c_Message_Omsg_OKey,c_Message_OinvKey(hAPP(c_Public_OpublicKey(V_b),V_A))),c_Event_Oused(V_evs),tc_Message_Omsg)) ).
% 1.94/2.04
% 1.94/2.04 cnf(cls_Crypt__imp__invKey__keysFor_0,axiom,
% 1.94/2.04 ( hBOOL(c_in(c_Message_OinvKey(V_K),c_Message_OkeysFor(V_H),tc_nat))
% 1.94/2.04 | ~ hBOOL(c_in(c_Message_Omsg_OCrypt(V_K,V_X),V_H,tc_Message_Omsg)) ) ).
% 1.94/2.04
% 1.94/2.04 cnf(cls_analz_ODecrypt_0,axiom,
% 1.94/2.05 ( hBOOL(c_in(V_X,c_Message_Oanalz(V_H),tc_Message_Omsg))
% 1.94/2.05 | ~ hBOOL(c_in(hAPP(c_Message_Omsg_OKey,c_Message_OinvKey(V_K)),c_Message_Oanalz(V_H),tc_Message_Omsg))
% 1.94/2.05 | ~ hBOOL(c_in(c_Message_Omsg_OCrypt(V_K,V_X),c_Message_Oanalz(V_H),tc_Message_Omsg)) ) ).
% 1.94/2.05
% 1.94/2.05 cnf(cls_sorted__Cons_1,axiom,
% 1.94/2.05 ( ~ class_Orderings_Olinorder(T_a)
% 1.94/2.05 | c_lessequals(V_x,V_xa,T_a)
% 1.94/2.05 | ~ hBOOL(c_in(V_xa,c_List_Oset(V_xs,T_a),T_a))
% 1.94/2.05 | ~ c_List_Olinorder__class_Osorted(c_List_Olist_OCons(V_x,V_xs,T_a),T_a) ) ).
% 1.94/2.05
% 1.94/2.05 cnf(cls_not__symKeys__priK_0,axiom,
% 1.94/2.05 ~ hBOOL(c_in(c_Message_OinvKey(hAPP(c_Public_OpublicKey(V_b),V_A)),c_Message_OsymKeys,tc_nat)) ).
% 1.94/2.05
% 1.94/2.05 cnf(cls_knows__Notes_0,axiom,
% 1.94/2.05 c_Event_Oknows(V_A,c_List_Olist_OCons(c_Event_Oevent_ONotes(V_A,V_X),V_evs,tc_Event_Oevent)) = c_Set_Oinsert(V_X,c_Event_Oknows(V_A,V_evs),tc_Message_Omsg) ).
% 1.94/2.05
% 1.94/2.05 cnf(cls_privateKey__notin__image__publicKey_0,axiom,
% 1.94/2.05 ~ hBOOL(c_in(c_Message_OinvKey(hAPP(c_Public_OpublicKey(V_b),V_x)),c_Set_Oimage(c_Public_OpublicKey(V_c),V_AA,tc_Message_Oagent,tc_nat),tc_nat)) ).
% 1.94/2.05
% 1.94/2.05 cnf(cls_knows__Says_0,axiom,
% 1.94/2.05 c_Event_Oknows(V_A,c_List_Olist_OCons(c_Event_Oevent_OSays(V_A,V_B,V_X),V_evs,tc_Event_Oevent)) = c_Set_Oinsert(V_X,c_Event_Oknows(V_A,V_evs),tc_Message_Omsg) ).
% 1.94/2.05
% 1.94/2.05 cnf(cls_Nonce__supply1_0,axiom,
% 1.94/2.05 ~ hBOOL(c_in(c_Message_Omsg_ONonce(c_Public_Osko__Public__XNonce__supply1__1__1(V_evs)),c_Event_Oused(V_evs),tc_Message_Omsg)) ).
% 1.94/2.05
% 1.94/2.05 cnf(cls_Nonce__notin__used__empty_0,axiom,
% 1.94/2.05 ~ hBOOL(c_in(c_Message_Omsg_ONonce(V_N),c_Event_Oused(c_List_Olist_ONil(tc_Event_Oevent)),tc_Message_Omsg)) ).
% 1.94/2.05
% 1.94/2.05 cnf(cls_analz__insert__Crypt__subset_0,axiom,
% 1.94/2.05 c_lessequals(c_Message_Oanalz(c_Set_Oinsert(c_Message_Omsg_OCrypt(V_K,V_X),V_H,tc_Message_Omsg)),c_Set_Oinsert(c_Message_Omsg_OCrypt(V_K,V_X),c_Message_Oanalz(c_Set_Oinsert(V_X,V_H,tc_Message_Omsg)),tc_Message_Omsg),tc_fun(tc_Message_Omsg,tc_bool)) ).
% 1.94/2.05
% 1.94/2.05 cnf(cls_Crypt__notin__used__empty_0,axiom,
% 1.94/2.05 ~ hBOOL(c_in(c_Message_Omsg_OCrypt(V_K,V_X),c_Event_Oused(c_List_Olist_ONil(tc_Event_Oevent)),tc_Message_Omsg)) ).
% 1.94/2.05
% 1.94/2.05 cnf(cls_initState__into__used_0,axiom,
% 1.94/2.05 ( hBOOL(c_in(V_X,c_Event_Oused(V_evs),tc_Message_Omsg))
% 1.94/2.05 | ~ hBOOL(c_in(V_X,c_Message_Oparts(c_Event_OinitState(V_B)),tc_Message_Omsg)) ) ).
% 1.94/2.05
% 1.94/2.05 cnf(cls_publicKey__in__initState_0,axiom,
% 1.94/2.05 hBOOL(c_in(hAPP(c_Message_Omsg_OKey,hAPP(c_Public_OpublicKey(V_b),V_A)),c_Event_OinitState(V_B),tc_Message_Omsg)) ).
% 1.94/2.05
% 1.94/2.05 cnf(cls_gen__analz__insert__eq_0,axiom,
% 1.94/2.05 ( c_Message_Oanalz(c_Set_Oinsert(V_X,V_G,tc_Message_Omsg)) = c_Message_Oanalz(V_G)
% 1.94/2.05 | ~ c_lessequals(V_H,V_G,tc_fun(tc_Message_Omsg,tc_bool))
% 1.94/2.05 | ~ hBOOL(c_in(V_X,c_Message_Oanalz(V_H),tc_Message_Omsg)) ) ).
% 1.94/2.05
% 1.94/2.05 cnf(cls_shrK__in__initState_0,axiom,
% 1.94/2.05 hBOOL(c_in(hAPP(c_Message_Omsg_OKey,hAPP(c_Public_OshrK,V_A)),c_Event_OinitState(V_A),tc_Message_Omsg)) ).
% 1.94/2.05
% 1.94/2.05 cnf(cls_Nonce__Key__image__eq_0,axiom,
% 1.94/2.05 ~ hBOOL(c_in(c_Message_Omsg_ONonce(V_x),c_Set_Oimage(c_Message_Omsg_OKey,V_A,tc_nat,tc_Message_Omsg),tc_Message_Omsg)) ).
% 1.94/2.05
% 1.94/2.05 cnf(cls_Key__image__eq_1,axiom,
% 1.94/2.05 ( hBOOL(c_in(hAPP(c_Message_Omsg_OKey,V_x),c_Set_Oimage(c_Message_Omsg_OKey,V_A,tc_nat,tc_Message_Omsg),tc_Message_Omsg))
% 1.94/2.05 | ~ hBOOL(c_in(V_x,V_A,tc_nat)) ) ).
% 1.94/2.05
% 1.94/2.05 cnf(cls_Key__image__eq_0,axiom,
% 1.94/2.05 ( hBOOL(c_in(V_x,V_A,tc_nat))
% 1.94/2.05 | ~ hBOOL(c_in(hAPP(c_Message_Omsg_OKey,V_x),c_Set_Oimage(c_Message_Omsg_OKey,V_A,tc_nat,tc_Message_Omsg),tc_Message_Omsg)) ) ).
% 1.94/2.05
% 1.94/2.05 cnf(cls_Nonce__notin__initState_0,axiom,
% 1.94/2.05 ~ hBOOL(c_in(c_Message_Omsg_ONonce(V_N),c_Message_Oparts(c_Event_OinitState(V_B)),tc_Message_Omsg)) ).
% 1.94/2.05
% 1.94/2.05 cnf(cls_Crypt__notin__image__Key_0,axiom,
% 1.94/2.05 ~ hBOOL(c_in(c_Message_Omsg_OCrypt(V_K,V_X),c_Set_Oimage(c_Message_Omsg_OKey,V_A,tc_nat,tc_Message_Omsg),tc_Message_Omsg)) ).
% 1.94/2.05
% 1.94/2.05 cnf(cls_Crypt__synth__eq_1,axiom,
% 1.94/2.05 ( hBOOL(c_in(c_Message_Omsg_OCrypt(V_K,V_X),c_Message_Osynth(V_H),tc_Message_Omsg))
% 1.94/2.05 | ~ hBOOL(c_in(c_Message_Omsg_OCrypt(V_K,V_X),V_H,tc_Message_Omsg))
% 1.94/2.05 | hBOOL(c_in(hAPP(c_Message_Omsg_OKey,V_K),V_H,tc_Message_Omsg)) ) ).
% 1.94/2.05
% 1.94/2.05 cnf(cls_Crypt__synth__eq_0,axiom,
% 1.94/2.05 ( hBOOL(c_in(c_Message_Omsg_OCrypt(V_K,V_X),V_H,tc_Message_Omsg))
% 1.94/2.05 | ~ hBOOL(c_in(c_Message_Omsg_OCrypt(V_K,V_X),c_Message_Osynth(V_H),tc_Message_Omsg))
% 1.94/2.05 | hBOOL(c_in(hAPP(c_Message_Omsg_OKey,V_K),V_H,tc_Message_Omsg)) ) ).
% 1.94/2.05
% 1.94/2.05 cnf(cls_Crypt__synth_1,axiom,
% 1.94/2.05 ( hBOOL(c_in(hAPP(c_Message_Omsg_OKey,V_K),V_H,tc_Message_Omsg))
% 1.94/2.05 | hBOOL(c_in(c_Message_Omsg_OCrypt(V_K,V_X),V_H,tc_Message_Omsg))
% 1.94/2.05 | ~ hBOOL(c_in(c_Message_Omsg_OCrypt(V_K,V_X),c_Message_Osynth(V_H),tc_Message_Omsg)) ) ).
% 1.94/2.05
% 1.94/2.05 cnf(cls_synth_OCrypt_0,axiom,
% 1.94/2.05 ( hBOOL(c_in(c_Message_Omsg_OCrypt(V_K,V_X),c_Message_Osynth(V_H),tc_Message_Omsg))
% 1.94/2.05 | ~ hBOOL(c_in(hAPP(c_Message_Omsg_OKey,V_K),V_H,tc_Message_Omsg))
% 1.94/2.05 | ~ hBOOL(c_in(V_X,c_Message_Osynth(V_H),tc_Message_Omsg)) ) ).
% 1.94/2.05
% 1.94/2.05 cnf(cls_in__lists__conv__set_0,axiom,
% 1.94/2.05 ( hBOOL(c_in(V_x,V_A,T_a))
% 1.94/2.05 | ~ hBOOL(c_in(V_x,c_List_Oset(V_xs,T_a),T_a))
% 1.94/2.05 | ~ hBOOL(c_in(V_xs,c_List_Olists(V_A,T_a),tc_List_Olist(T_a))) ) ).
% 1.94/2.05
% 1.94/2.05 cnf(cls_analz__image__freshK_1,axiom,
% 1.94/2.05 ( hBOOL(c_in(hAPP(c_Message_Omsg_OKey,V_K),c_Message_Oanalz(c_Lattices_Oupper__semilattice__class_Osup(c_Set_Oimage(c_Message_Omsg_OKey,V_KK,tc_nat,tc_Message_Omsg),c_Event_Oknows(c_Message_Oagent_OSpy,V_evs),tc_fun(tc_Message_Omsg,tc_bool))),tc_Message_Omsg))
% 1.94/2.05 | ~ hBOOL(c_in(V_K,V_KK,tc_nat))
% 1.94/2.05 | ~ c_lessequals(V_KK,c_HOL_Ouminus__class_Ouminus(c_Set_Oimage(c_Public_OshrK,c_Orderings_Otop__class_Otop(tc_fun(tc_Message_Oagent,tc_bool)),tc_Message_Oagent,tc_nat),tc_fun(tc_nat,tc_bool)),tc_fun(tc_nat,tc_bool))
% 1.94/2.05 | ~ hBOOL(c_in(V_evs,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))) ) ).
% 1.94/2.05
% 1.94/2.05 cnf(cls_analz__image__freshK_0,axiom,
% 1.94/2.05 ( hBOOL(c_in(hAPP(c_Message_Omsg_OKey,V_K),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,V_evs)),tc_Message_Omsg))
% 1.94/2.05 | hBOOL(c_in(V_K,V_KK,tc_nat))
% 1.94/2.05 | ~ hBOOL(c_in(hAPP(c_Message_Omsg_OKey,V_K),c_Message_Oanalz(c_Lattices_Oupper__semilattice__class_Osup(c_Set_Oimage(c_Message_Omsg_OKey,V_KK,tc_nat,tc_Message_Omsg),c_Event_Oknows(c_Message_Oagent_OSpy,V_evs),tc_fun(tc_Message_Omsg,tc_bool))),tc_Message_Omsg))
% 1.94/2.05 | ~ c_lessequals(V_KK,c_HOL_Ouminus__class_Ouminus(c_Set_Oimage(c_Public_OshrK,c_Orderings_Otop__class_Otop(tc_fun(tc_Message_Oagent,tc_bool)),tc_Message_Oagent,tc_nat),tc_fun(tc_nat,tc_bool)),tc_fun(tc_nat,tc_bool))
% 1.94/2.05 | ~ hBOOL(c_in(V_evs,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))) ) ).
% 1.94/2.05
% 1.94/2.05 cnf(cls_Crypt__notin__initState_0,axiom,
% 1.94/2.05 ~ hBOOL(c_in(c_Message_Omsg_OCrypt(V_K,V_X),c_Message_Oparts(c_Event_OinitState(V_B)),tc_Message_Omsg)) ).
% 1.94/2.05
% 1.94/2.05 cnf(cls_MPair__synth__analz_1,axiom,
% 1.94/2.05 ( hBOOL(c_in(V_Y,c_Message_Osynth(c_Message_Oanalz(V_H)),tc_Message_Omsg))
% 1.94/2.05 | ~ hBOOL(c_in(c_Message_Omsg_OMPair(V_X,V_Y),c_Message_Osynth(c_Message_Oanalz(V_H)),tc_Message_Omsg)) ) ).
% 1.94/2.05
% 1.94/2.05 cnf(cls_MPair__synth__analz_0,axiom,
% 1.94/2.05 ( hBOOL(c_in(V_X,c_Message_Osynth(c_Message_Oanalz(V_H)),tc_Message_Omsg))
% 1.94/2.05 | ~ hBOOL(c_in(c_Message_Omsg_OMPair(V_X,V_Y),c_Message_Osynth(c_Message_Oanalz(V_H)),tc_Message_Omsg)) ) ).
% 1.94/2.05
% 1.94/2.05 cnf(cls_MPair__synth__analz_2,axiom,
% 1.94/2.05 ( hBOOL(c_in(c_Message_Omsg_OMPair(V_X,V_Y),c_Message_Osynth(c_Message_Oanalz(V_H)),tc_Message_Omsg))
% 1.94/2.05 | ~ hBOOL(c_in(V_Y,c_Message_Osynth(c_Message_Oanalz(V_H)),tc_Message_Omsg))
% 1.94/2.05 | ~ hBOOL(c_in(V_X,c_Message_Osynth(c_Message_Oanalz(V_H)),tc_Message_Omsg)) ) ).
% 1.94/2.05
% 1.94/2.05 cnf(cls_inj__image__subset__iff_1,axiom,
% 1.94/2.05 ( c_lessequals(c_Set_Oimage(V_f,V_A,T_a,T_b),c_Set_Oimage(V_f,V_B,T_a,T_b),tc_fun(T_b,tc_bool))
% 1.94/2.05 | ~ c_lessequals(V_A,V_B,tc_fun(T_a,tc_bool))
% 1.94/2.05 | ~ c_Fun_Oinj__on(V_f,c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_bool)),T_a,T_b) ) ).
% 1.94/2.05
% 1.94/2.05 cnf(cls_inj__image__subset__iff_0,axiom,
% 1.94/2.05 ( c_lessequals(V_A,V_B,tc_fun(T_a,tc_bool))
% 1.94/2.05 | ~ c_lessequals(c_Set_Oimage(V_f,V_A,T_a,T_b),c_Set_Oimage(V_f,V_B,T_a,T_b),tc_fun(T_b,tc_bool))
% 1.94/2.05 | ~ c_Fun_Oinj__on(V_f,c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_bool)),T_a,T_b) ) ).
% 1.94/2.05
% 1.94/2.05 cnf(cls_inj__image__mem__iff_1,axiom,
% 1.94/2.05 ( hBOOL(c_in(hAPP(V_f,V_a),c_Set_Oimage(V_f,V_A,T_a,T_b),T_b))
% 1.94/2.05 | ~ hBOOL(c_in(V_a,V_A,T_a))
% 1.94/2.05 | ~ c_Fun_Oinj__on(V_f,c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_bool)),T_a,T_b) ) ).
% 1.94/2.05
% 1.94/2.05 cnf(cls_inj__image__mem__iff_0,axiom,
% 1.94/2.05 ( hBOOL(c_in(V_a,V_A,T_a))
% 1.94/2.05 | ~ hBOOL(c_in(hAPP(V_f,V_a),c_Set_Oimage(V_f,V_A,T_a,T_b),T_b))
% 1.94/2.05 | ~ c_Fun_Oinj__on(V_f,c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_bool)),T_a,T_b) ) ).
% 1.94/2.05
% 1.94/2.05 cnf(cls_rangeE_0,axiom,
% 1.94/2.05 ( V_b = hAPP(V_f,c_ATP__Linkup_Osko__Set__XrangeE__1__1(V_b,V_f,T_a,T_b))
% 1.94/2.05 | ~ hBOOL(c_in(V_b,c_Set_Oimage(V_f,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_bool)),T_b,T_a),T_a)) ) ).
% 1.94/2.05
% 1.94/2.05 cnf(cls_image__subsetI_1,axiom,
% 1.94/2.05 ( c_lessequals(c_Set_Oimage(V_f,V_A,T_a,T_b),V_B,tc_fun(T_b,tc_bool))
% 1.94/2.05 | ~ hBOOL(c_in(hAPP(V_f,c_ATP__Linkup_Osko__Set__Ximage__subsetI__1__1(V_A,V_B,V_f,T_a,T_b)),V_B,T_b)) ) ).
% 1.94/2.05
% 1.94/2.05 cnf(cls_weak__coinduct__image_0,axiom,
% 1.94/2.05 ( hBOOL(c_in(hAPP(V_g,V_a),c_Inductive_Ocomplete__lattice__class_Ogfp(V_f,tc_fun(T_b,tc_bool)),T_b))
% 1.94/2.05 | ~ c_lessequals(c_Set_Oimage(V_g,V_X,T_a,T_b),hAPP(V_f,c_Set_Oimage(V_g,V_X,T_a,T_b)),tc_fun(T_b,tc_bool))
% 1.94/2.05 | ~ hBOOL(c_in(V_a,V_X,T_a)) ) ).
% 1.94/2.05
% 1.94/2.05 cnf(cls_image__subset__iff_1,axiom,
% 1.94/2.05 ( c_lessequals(c_Set_Oimage(V_f,V_A,T_b,T_a),V_B,tc_fun(T_a,tc_bool))
% 1.94/2.05 | hBOOL(c_in(c_ATP__Linkup_Osko__Set__Ximage__subset__iff__1__1(V_A,V_B,V_f,T_b,T_a),V_A,T_b)) ) ).
% 1.94/2.05
% 1.94/2.05 cnf(cls_image__subset__iff_2,axiom,
% 1.94/2.05 ( c_lessequals(c_Set_Oimage(V_f,V_A,T_b,T_a),V_B,tc_fun(T_a,tc_bool))
% 1.94/2.05 | ~ hBOOL(c_in(hAPP(V_f,c_ATP__Linkup_Osko__Set__Ximage__subset__iff__1__1(V_A,V_B,V_f,T_b,T_a)),V_B,T_a)) ) ).
% 1.94/2.05
% 1.94/2.05 cnf(cls_image__subsetI_0,axiom,
% 1.94/2.05 ( c_lessequals(c_Set_Oimage(V_f,V_A,T_a,T_b),V_B,tc_fun(T_b,tc_bool))
% 1.94/2.05 | hBOOL(c_in(c_ATP__Linkup_Osko__Set__Ximage__subsetI__1__1(V_A,V_B,V_f,T_a,T_b),V_A,T_a)) ) ).
% 1.94/2.05
% 1.94/2.05 cnf(cls_set__update__subsetI_0,axiom,
% 1.94/2.05 ( c_lessequals(c_List_Oset(c_List_Olist__update(V_xs,V_i,V_x,T_a),T_a),V_A,tc_fun(T_a,tc_bool))
% 1.94/2.05 | ~ hBOOL(c_in(V_x,V_A,T_a))
% 1.94/2.05 | ~ c_lessequals(c_List_Oset(V_xs,T_a),V_A,tc_fun(T_a,tc_bool)) ) ).
% 1.94/2.05
% 1.94/2.05 cnf(cls_remdups_Osimps_I2_J_0,axiom,
% 1.94/2.05 ( c_List_Oremdups(c_List_Olist_OCons(V_x,V_xs,T_a),T_a) = c_List_Oremdups(V_xs,T_a)
% 1.94/2.05 | ~ hBOOL(c_in(V_x,c_List_Oset(V_xs,T_a),T_a)) ) ).
% 1.94/2.05
% 1.94/2.05 cnf(cls_list__inter_Osimps_I2_J_0,axiom,
% 1.94/2.05 ( c_List_Olist__inter(c_List_Olist_OCons(V_a,V_as,T_a),V_bs,T_a) = c_List_Olist_OCons(V_a,c_List_Olist__inter(V_as,V_bs,T_a),T_a)
% 1.94/2.05 | ~ hBOOL(c_in(V_a,c_List_Oset(V_bs,T_a),T_a)) ) ).
% 1.94/2.05
% 1.94/2.05 cnf(cls_list__inter_Osimps_I2_J_1,axiom,
% 1.94/2.05 ( c_List_Olist__inter(c_List_Olist_OCons(V_a,V_as,T_a),V_bs,T_a) = c_List_Olist__inter(V_as,V_bs,T_a)
% 1.94/2.05 | hBOOL(c_in(V_a,c_List_Oset(V_bs,T_a),T_a)) ) ).
% 1.94/2.05
% 1.94/2.05 cnf(cls_in__set__conv__decomp__first_2,axiom,
% 1.94/2.05 ( hBOOL(c_in(V_x,c_List_Oset(c_List_Oappend(V_xa,c_List_Olist_OCons(V_x,V_xb,T_a),T_a),T_a),T_a))
% 1.94/2.05 | hBOOL(c_in(V_x,c_List_Oset(V_xa,T_a),T_a)) ) ).
% 1.94/2.05
% 1.94/2.05 cnf(cls_in__set__conv__decomp__last_2,axiom,
% 1.94/2.05 ( hBOOL(c_in(V_x,c_List_Oset(c_List_Oappend(V_xa,c_List_Olist_OCons(V_x,V_xb,T_a),T_a),T_a),T_a))
% 1.94/2.05 | hBOOL(c_in(V_x,c_List_Oset(V_xb,T_a),T_a)) ) ).
% 1.94/2.05
% 1.94/2.05 cnf(cls_in__set__conv__decomp_1,axiom,
% 1.94/2.05 hBOOL(c_in(V_x,c_List_Oset(c_List_Oappend(V_xa,c_List_Olist_OCons(V_x,V_xb,T_a),T_a),T_a),T_a)) ).
% 1.94/2.05
% 1.94/2.05 cnf(cls_length__unique_Osimps_I2_J_0,axiom,
% 1.94/2.05 ( c_List_Olength__unique(c_List_Olist_OCons(V_x,V_xs,T_a),T_a) = c_List_Olength__unique(V_xs,T_a)
% 1.94/2.05 | ~ hBOOL(c_in(V_x,c_List_Oset(V_xs,T_a),T_a)) ) ).
% 1.94/2.05
% 1.94/2.05 cnf(cls_distinct_Osimps_I2_J_0,axiom,
% 1.94/2.05 ( ~ hBOOL(c_in(V_x,c_List_Oset(V_xs,T_a),T_a))
% 1.94/2.05 | ~ c_List_Odistinct(c_List_Olist_OCons(V_x,V_xs,T_a),T_a) ) ).
% 1.94/2.05
% 1.94/2.05 cnf(cls_remdups_Osimps_I2_J_1,axiom,
% 1.94/2.05 ( c_List_Oremdups(c_List_Olist_OCons(V_x,V_xs,T_a),T_a) = c_List_Olist_OCons(V_x,c_List_Oremdups(V_xs,T_a),T_a)
% 1.94/2.05 | hBOOL(c_in(V_x,c_List_Oset(V_xs,T_a),T_a)) ) ).
% 1.94/2.05
% 1.94/2.05 cnf(cls_distinct_Osimps_I2_J_2,axiom,
% 1.94/2.05 ( c_List_Odistinct(c_List_Olist_OCons(V_x,V_xs,T_a),T_a)
% 1.94/2.05 | ~ c_List_Odistinct(V_xs,T_a)
% 1.94/2.05 | hBOOL(c_in(V_x,c_List_Oset(V_xs,T_a),T_a)) ) ).
% 1.94/2.05
% 1.94/2.05 cnf(cls_analz__image__freshK_2,axiom,
% 1.94/2.05 ( hBOOL(c_in(hAPP(c_Message_Omsg_OKey,V_K),c_Message_Oanalz(c_Lattices_Oupper__semilattice__class_Osup(c_Set_Oimage(c_Message_Omsg_OKey,V_KK,tc_nat,tc_Message_Omsg),c_Event_Oknows(c_Message_Oagent_OSpy,V_evs),tc_fun(tc_Message_Omsg,tc_bool))),tc_Message_Omsg))
% 1.94/2.05 | ~ hBOOL(c_in(hAPP(c_Message_Omsg_OKey,V_K),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,V_evs)),tc_Message_Omsg))
% 1.94/2.05 | ~ c_lessequals(V_KK,c_HOL_Ouminus__class_Ouminus(c_Set_Oimage(c_Public_OshrK,c_Orderings_Otop__class_Otop(tc_fun(tc_Message_Oagent,tc_bool)),tc_Message_Oagent,tc_nat),tc_fun(tc_nat,tc_bool)),tc_fun(tc_nat,tc_bool))
% 1.94/2.05 | ~ hBOOL(c_in(V_evs,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))) ) ).
% 1.94/2.05
% 1.94/2.05 cnf(cls_lemma1_0,axiom,
% 1.94/2.05 ( c_lessequals(c_Message_Oanalz(c_Set_Oinsert(c_Message_Omsg_OCrypt(V_K,V_X),V_H,tc_Message_Omsg)),c_Set_Oinsert(c_Message_Omsg_OCrypt(V_K,V_X),c_Message_Oanalz(c_Set_Oinsert(V_X,V_H,tc_Message_Omsg)),tc_Message_Omsg),tc_fun(tc_Message_Omsg,tc_bool))
% 1.94/2.05 | ~ hBOOL(c_in(hAPP(c_Message_Omsg_OKey,c_Message_OinvKey(V_K)),c_Message_Oanalz(V_H),tc_Message_Omsg)) ) ).
% 1.94/2.05
% 1.94/2.05 cnf(cls_lemma2_0,axiom,
% 1.94/2.05 ( c_lessequals(c_Set_Oinsert(c_Message_Omsg_OCrypt(V_K,V_X),c_Message_Oanalz(c_Set_Oinsert(V_X,V_H,tc_Message_Omsg)),tc_Message_Omsg),c_Message_Oanalz(c_Set_Oinsert(c_Message_Omsg_OCrypt(V_K,V_X),V_H,tc_Message_Omsg)),tc_fun(tc_Message_Omsg,tc_bool))
% 1.94/2.05 | ~ hBOOL(c_in(hAPP(c_Message_Omsg_OKey,c_Message_OinvKey(V_K)),c_Message_Oanalz(V_H),tc_Message_Omsg)) ) ).
% 1.94/2.05
% 1.94/2.05 cnf(cls_knows__Spy__imp__Says__Notes__initState_0,axiom,
% 1.94/2.05 ( hBOOL(c_in(V_X,c_Event_OinitState(c_Message_Oagent_OSpy),tc_Message_Omsg))
% 1.94/2.05 | hBOOL(c_in(c_Event_Oevent_ONotes(c_Event_Osko__Event__Xknows__Spy__imp__Says__Notes__initState__1__1(V_X,V_evs),V_X),c_List_Oset(V_evs,tc_Event_Oevent),tc_Event_Oevent))
% 1.94/2.05 | hBOOL(c_in(c_Event_Oevent_OSays(c_Event_Osko__Event__Xknows__Spy__imp__Says__Notes__initState__1__1(V_X,V_evs),c_Event_Osko__Event__Xknows__Spy__imp__Says__Notes__initState__1__2(V_X,V_evs),V_X),c_List_Oset(V_evs,tc_Event_Oevent),tc_Event_Oevent))
% 1.94/2.05 | ~ hBOOL(c_in(V_X,c_Event_Oknows(c_Message_Oagent_OSpy,V_evs),tc_Message_Omsg)) ) ).
% 1.94/2.05
% 1.94/2.05 cnf(cls_A__trusts__NS4_0,axiom,
% 1.94/2.05 ( hBOOL(c_in(c_Event_Oevent_OSays(V_B,V_A,c_Message_Omsg_OCrypt(V_K,c_Message_Omsg_ONonce(V_NB))),c_List_Oset(V_evs,tc_Event_Oevent),tc_Event_Oevent))
% 1.94/2.05 | ~ hBOOL(c_in(V_evs,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent)))
% 1.94/2.05 | hBOOL(c_in(V_B,c_Event_Obad,tc_Message_Oagent))
% 1.94/2.05 | hBOOL(c_in(V_A,c_Event_Obad,tc_Message_Oagent))
% 1.94/2.05 | hBOOL(c_in(c_Event_Oevent_ONotes(c_Message_Oagent_OSpy,c_Message_Omsg_OMPair(V_NA,c_Message_Omsg_OMPair(v_sko__NS__Shared__Mirabelle__XA__trusts__NS4__1(V_K,V_NA,V_evs),hAPP(c_Message_Omsg_OKey,V_K)))),c_List_Oset(V_evs,tc_Event_Oevent),tc_Event_Oevent))
% 1.94/2.05 | ~ hBOOL(c_in(c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,V_A),c_Message_Omsg_OMPair(V_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(V_B),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,V_K),V_X)))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,V_evs)),tc_Message_Omsg))
% 1.94/2.05 | ~ hBOOL(c_in(c_Message_Omsg_OCrypt(V_K,c_Message_Omsg_ONonce(V_NB)),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,V_evs)),tc_Message_Omsg)) ) ).
% 1.94/2.05
% 1.94/2.05 cnf(cls_secrecy__lemma_0,axiom,
% 1.94/2.05 ( ~ hBOOL(c_in(hAPP(c_Message_Omsg_OKey,V_K),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,V_evs)),tc_Message_Omsg))
% 1.94/2.05 | hBOOL(c_in(c_Event_Oevent_ONotes(c_Message_Oagent_OSpy,c_Message_Omsg_OMPair(V_NA,c_Message_Omsg_OMPair(v_sko__NS__Shared__Mirabelle__Xsecrecy__lemma__1(V_K,V_NA,V_evs),hAPP(c_Message_Omsg_OKey,V_K)))),c_List_Oset(V_evs,tc_Event_Oevent),tc_Event_Oevent))
% 1.94/2.05 | ~ hBOOL(c_in(V_evs,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent)))
% 1.94/2.05 | hBOOL(c_in(V_B,c_Event_Obad,tc_Message_Oagent))
% 1.94/2.05 | hBOOL(c_in(V_A,c_Event_Obad,tc_Message_Oagent))
% 1.94/2.05 | ~ hBOOL(c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,V_A,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,V_A),c_Message_Omsg_OMPair(V_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(V_B),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,V_K),c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,V_B),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,V_K),c_Message_Omsg_OAgent(V_A)))))))),c_List_Oset(V_evs,tc_Event_Oevent),tc_Event_Oevent)) ) ).
% 1.94/2.05
% 1.94/2.05 cnf(cls_Spy__see__shrK_0,axiom,
% 1.94/2.05 ( hBOOL(c_in(V_A,c_Event_Obad,tc_Message_Oagent))
% 1.94/2.05 | ~ hBOOL(c_in(hAPP(c_Message_Omsg_OKey,hAPP(c_Public_OshrK,V_A)),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,V_evs)),tc_Message_Omsg))
% 1.94/2.05 | ~ hBOOL(c_in(V_evs,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))) ) ).
% 1.94/2.05
% 1.94/2.05 cnf(cls_Spy__see__shrK_1,axiom,
% 1.94/2.05 ( hBOOL(c_in(hAPP(c_Message_Omsg_OKey,hAPP(c_Public_OshrK,V_A)),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,V_evs)),tc_Message_Omsg))
% 1.94/2.05 | ~ hBOOL(c_in(V_A,c_Event_Obad,tc_Message_Oagent))
% 1.94/2.05 | ~ hBOOL(c_in(V_evs,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))) ) ).
% 1.94/2.05
% 1.94/2.05 cnf(cls_spies__pubK_0,axiom,
% 1.94/2.05 hBOOL(c_in(hAPP(c_Message_Omsg_OKey,hAPP(c_Public_OpublicKey(V_b),V_A)),c_Event_Oknows(c_Message_Oagent_OSpy,V_evs),tc_Message_Omsg)) ).
% 1.94/2.05
% 1.94/2.05 cnf(cls_ns__sharedp_OOops_0,axiom,
% 1.94/2.05 ( hBOOL(c_NS__Shared__Mirabelle_Ons__sharedp(c_List_Olist_OCons(c_Event_Oevent_ONotes(c_Message_Oagent_OSpy,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(V_NA),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(V_NB),hAPP(c_Message_Omsg_OKey,V_K)))),V_evso,tc_Event_Oevent)))
% 1.94/2.05 | ~ hBOOL(c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,V_A,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,V_A),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(V_NA),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(V_B),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,V_K),V_X))))),c_List_Oset(V_evso,tc_Event_Oevent),tc_Event_Oevent))
% 1.94/2.05 | ~ hBOOL(c_in(c_Event_Oevent_OSays(V_B,V_A,c_Message_Omsg_OCrypt(V_K,c_Message_Omsg_ONonce(V_NB))),c_List_Oset(V_evso,tc_Event_Oevent),tc_Event_Oevent))
% 1.94/2.05 | ~ hBOOL(c_NS__Shared__Mirabelle_Ons__sharedp(V_evso)) ) ).
% 1.94/2.05
% 1.94/2.05 cnf(cls_ns__sharedp_ONS1_0,axiom,
% 1.94/2.05 ( hBOOL(c_NS__Shared__Mirabelle_Ons__sharedp(c_List_Olist_OCons(c_Event_Oevent_OSays(V_A,c_Message_Oagent_OServer,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(V_A),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(V_B),c_Message_Omsg_ONonce(V_NA)))),V_evs1,tc_Event_Oevent)))
% 1.94/2.05 | hBOOL(c_in(c_Message_Omsg_ONonce(V_NA),c_Event_Oused(V_evs1),tc_Message_Omsg))
% 1.94/2.05 | ~ hBOOL(c_NS__Shared__Mirabelle_Ons__sharedp(V_evs1)) ) ).
% 1.94/2.05
% 1.94/2.05 cnf(cls_ns__sharedp__ns__shared__eq_0,axiom,
% 1.94/2.05 c_NS__Shared__Mirabelle_Ons__sharedp(v_x) = c_in(v_x,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent)) ).
% 1.94/2.05
% 1.94/2.05 cnf(cls_cert__A__form_0,axiom,
% 1.94/2.05 ( ~ hBOOL(c_in(V_K,c_Set_Oimage(c_Public_OshrK,c_Orderings_Otop__class_Otop(tc_fun(tc_Message_Oagent,tc_bool)),tc_Message_Oagent,tc_nat),tc_nat))
% 1.94/2.05 | ~ hBOOL(c_in(V_evs,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent)))
% 1.94/2.05 | hBOOL(c_in(V_A,c_Event_Obad,tc_Message_Oagent))
% 1.94/2.05 | ~ hBOOL(c_in(c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,V_A),c_Message_Omsg_OMPair(V_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(V_B),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,V_K),V_X)))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,V_evs)),tc_Message_Omsg)) ) ).
% 1.94/2.05
% 1.94/2.05 cnf(cls_publicKey__into__used_0,axiom,
% 1.94/2.05 hBOOL(c_in(hAPP(c_Message_Omsg_OKey,hAPP(c_Public_OpublicKey(V_b),V_A)),c_Event_Oused(V_evs),tc_Message_Omsg)) ).
% 1.94/2.05
% 1.94/2.05 cnf(cls_Crypt__Spy__analz__bad_0,axiom,
% 1.94/2.05 ( hBOOL(c_in(V_X,c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,V_evs)),tc_Message_Omsg))
% 1.94/2.05 | ~ hBOOL(c_in(V_A,c_Event_Obad,tc_Message_Oagent))
% 1.94/2.05 | ~ hBOOL(c_in(c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,V_A),V_X),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,V_evs)),tc_Message_Omsg)) ) ).
% 1.94/2.05
% 1.94/2.05 cnf(cls_Key__not__used_0,axiom,
% 1.94/2.05 ( ~ hBOOL(c_in(V_K,c_Set_Oimage(c_Public_OshrK,c_Orderings_Otop__class_Otop(tc_fun(tc_Message_Oagent,tc_bool)),tc_Message_Oagent,tc_nat),tc_nat))
% 1.94/2.05 | hBOOL(c_in(hAPP(c_Message_Omsg_OKey,V_K),c_Event_Oused(V_evs),tc_Message_Omsg)) ) ).
% 1.94/2.05
% 1.94/2.05 cnf(cls_Spy__spies__bad__shrK_0,axiom,
% 1.94/2.05 ( hBOOL(c_in(hAPP(c_Message_Omsg_OKey,hAPP(c_Public_OshrK,V_A)),c_Event_Oknows(c_Message_Oagent_OSpy,V_evs),tc_Message_Omsg))
% 1.94/2.05 | ~ hBOOL(c_in(V_A,c_Event_Obad,tc_Message_Oagent)) ) ).
% 1.94/2.05
% 1.94/2.05 cnf(cls_not__symKeys__pubK_0,axiom,
% 1.94/2.05 ~ hBOOL(c_in(hAPP(c_Public_OpublicKey(V_b),V_A),c_Message_OsymKeys,tc_nat)) ).
% 1.94/2.05
% 1.94/2.05 cnf(cls_analz__mono__contra_I3_J_0,axiom,
% 1.94/2.05 ( ~ hBOOL(c_in(V_c,c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,V_evs)),tc_Message_Omsg))
% 1.94/2.05 | hBOOL(c_in(V_c,c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,c_List_Olist_OCons(c_Event_Oevent_OGets(V_A,V_X),V_evs,tc_Event_Oevent))),tc_Message_Omsg)) ) ).
% 1.94/2.05
% 1.94/2.05 cnf(cls_analz__mono__contra_I2_J_0,axiom,
% 1.94/2.05 ( ~ hBOOL(c_in(V_c,c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,V_evs)),tc_Message_Omsg))
% 1.94/2.05 | hBOOL(c_in(V_c,c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,c_List_Olist_OCons(c_Event_Oevent_ONotes(V_A,V_X),V_evs,tc_Event_Oevent))),tc_Message_Omsg)) ) ).
% 1.94/2.05
% 1.94/2.05 cnf(cls_analz__subset__parts_0,axiom,
% 1.94/2.05 c_lessequals(c_Message_Oanalz(V_H),c_Message_Oparts(V_H),tc_fun(tc_Message_Omsg,tc_bool)) ).
% 1.94/2.05
% 1.94/2.05 cnf(cls_analz__trans_0,axiom,
% 1.94/2.05 ( hBOOL(c_in(V_X,c_Message_Oanalz(V_H),tc_Message_Omsg))
% 1.94/2.05 | ~ c_lessequals(V_G,c_Message_Oanalz(V_H),tc_fun(tc_Message_Omsg,tc_bool))
% 1.94/2.05 | ~ hBOOL(c_in(V_X,c_Message_Oanalz(V_G),tc_Message_Omsg)) ) ).
% 1.94/2.05
% 1.94/2.05 cnf(cls_parts__trans_0,axiom,
% 1.94/2.05 ( hBOOL(c_in(V_X,c_Message_Oparts(V_H),tc_Message_Omsg))
% 1.94/2.05 | ~ c_lessequals(V_G,c_Message_Oparts(V_H),tc_fun(tc_Message_Omsg,tc_bool))
% 1.94/2.05 | ~ hBOOL(c_in(V_X,c_Message_Oparts(V_G),tc_Message_Omsg)) ) ).
% 1.94/2.05
% 1.94/2.05 cnf(cls_set__ConsD_0,axiom,
% 1.94/2.05 ( hBOOL(c_in(V_y,c_List_Oset(V_xs,T_a),T_a))
% 1.94/2.05 | V_y = V_x
% 1.94/2.05 | ~ hBOOL(c_in(V_y,c_List_Oset(c_List_Olist_OCons(V_x,V_xs,T_a),T_a),T_a)) ) ).
% 1.94/2.05
% 1.94/2.05 cnf(cls_Notes__imp__knows__Spy_0,axiom,
% 1.94/2.05 ( hBOOL(c_in(V_X,c_Event_Oknows(c_Message_Oagent_OSpy,V_evs),tc_Message_Omsg))
% 1.94/2.05 | ~ hBOOL(c_in(V_A,c_Event_Obad,tc_Message_Oagent))
% 1.94/2.05 | ~ hBOOL(c_in(c_Event_Oevent_ONotes(V_A,V_X),c_List_Oset(V_evs,tc_Event_Oevent),tc_Event_Oevent)) ) ).
% 1.94/2.05
% 1.94/2.05 cnf(cls_knows__Spy__subset__knows__Spy__Says_0,axiom,
% 1.94/2.05 c_lessequals(c_Event_Oknows(c_Message_Oagent_OSpy,V_evs),c_Event_Oknows(c_Message_Oagent_OSpy,c_List_Olist_OCons(c_Event_Oevent_OSays(V_A,V_B,V_X),V_evs,tc_Event_Oevent)),tc_fun(tc_Message_Omsg,tc_bool)) ).
% 1.94/2.05
% 1.94/2.05 cnf(cls_shrK__neq__pubK_0,axiom,
% 1.94/2.05 hAPP(c_Public_OpublicKey(V_b),V_C) != hAPP(c_Public_OshrK,V_A) ).
% 1.94/2.05
% 1.94/2.05 cnf(cls_pubK__neq__shrK_0,axiom,
% 1.94/2.05 hAPP(c_Public_OshrK,V_A) != hAPP(c_Public_OpublicKey(V_b),V_C) ).
% 1.94/2.05
% 1.94/2.05 cnf(cls_event_Osimps_I7_J_0,axiom,
% 1.94/2.05 c_Event_Oevent_ONotes(V_agent_H,V_msg_H) != c_Event_Oevent_OSays(V_agent1,V_agent2,V_msg) ).
% 1.94/2.05
% 1.94/2.05 cnf(cls_event_Osimps_I5_J_0,axiom,
% 1.94/2.05 c_Event_Oevent_OGets(V_agent_H,V_msg_H) != c_Event_Oevent_OSays(V_agent1,V_agent2,V_msg) ).
% 1.94/2.05
% 1.94/2.05 cnf(cls_event_Osimps_I6_J_0,axiom,
% 1.94/2.05 c_Event_Oevent_OSays(V_agent1,V_agent2,V_msg) != c_Event_Oevent_ONotes(V_agent_H,V_msg_H) ).
% 1.94/2.05
% 1.94/2.05 cnf(cls_event_Osimps_I4_J_0,axiom,
% 1.94/2.05 c_Event_Oevent_OSays(V_agent1,V_agent2,V_msg) != c_Event_Oevent_OGets(V_agent_H,V_msg_H) ).
% 1.94/2.05
% 1.94/2.05 cnf(cls_shrK__notin__image__publicKey_0,axiom,
% 1.94/2.05 ~ hBOOL(c_in(hAPP(c_Public_OshrK,V_x),c_Set_Oimage(c_Public_OpublicKey(V_b),V_AA,tc_Message_Oagent,tc_nat),tc_nat)) ).
% 1.94/2.05
% 1.94/2.05 cnf(cls_shrK__image__eq_0,axiom,
% 1.94/2.05 ( hBOOL(c_in(V_x,V_AA,tc_Message_Oagent))
% 1.94/2.05 | ~ hBOOL(c_in(hAPP(c_Public_OshrK,V_x),c_Set_Oimage(c_Public_OshrK,V_AA,tc_Message_Oagent,tc_nat),tc_nat)) ) ).
% 1.94/2.05
% 1.94/2.05 cnf(cls_shrK__image__eq_1,axiom,
% 1.94/2.05 ( hBOOL(c_in(hAPP(c_Public_OshrK,V_x),c_Set_Oimage(c_Public_OshrK,V_AA,tc_Message_Oagent,tc_nat),tc_nat))
% 1.94/2.05 | ~ hBOOL(c_in(V_x,V_AA,tc_Message_Oagent)) ) ).
% 1.94/2.05
% 1.94/2.05 cnf(cls_publicKey__notin__image__shrK_0,axiom,
% 1.94/2.05 ~ hBOOL(c_in(hAPP(c_Public_OpublicKey(V_b),V_x),c_Set_Oimage(c_Public_OshrK,V_AA,tc_Message_Oagent,tc_nat),tc_nat)) ).
% 1.94/2.05
% 1.94/2.05 cnf(cls_knows__subset__knows__Says_0,axiom,
% 1.94/2.05 c_lessequals(c_Event_Oknows(V_A,V_evs),c_Event_Oknows(V_A,c_List_Olist_OCons(c_Event_Oevent_OSays(V_A_H,V_B,V_X),V_evs,tc_Event_Oevent)),tc_fun(tc_Message_Omsg,tc_bool)) ).
% 1.94/2.05
% 1.94/2.05 cnf(cls_knows__Spy__Gets_0,axiom,
% 1.94/2.05 c_Event_Oknows(c_Message_Oagent_OSpy,c_List_Olist_OCons(c_Event_Oevent_OGets(V_A,V_X),V_evs,tc_Event_Oevent)) = c_Event_Oknows(c_Message_Oagent_OSpy,V_evs) ).
% 1.94/2.05
% 1.94/2.05 cnf(cls_analz__increasing_0,axiom,
% 1.94/2.05 c_lessequals(V_H,c_Message_Oanalz(V_H),tc_fun(tc_Message_Omsg,tc_bool)) ).
% 1.94/2.05
% 1.94/2.05 cnf(cls_analz__subset__iff_0,axiom,
% 1.94/2.05 ( c_lessequals(V_G,c_Message_Oanalz(V_H),tc_fun(tc_Message_Omsg,tc_bool))
% 1.94/2.05 | ~ c_lessequals(c_Message_Oanalz(V_G),c_Message_Oanalz(V_H),tc_fun(tc_Message_Omsg,tc_bool)) ) ).
% 1.94/2.05
% 1.94/2.05 cnf(cls_analz__subset__iff_1,axiom,
% 1.94/2.05 ( c_lessequals(c_Message_Oanalz(V_G),c_Message_Oanalz(V_H),tc_fun(tc_Message_Omsg,tc_bool))
% 1.94/2.05 | ~ c_lessequals(V_G,c_Message_Oanalz(V_H),tc_fun(tc_Message_Omsg,tc_bool)) ) ).
% 1.94/2.05
% 1.94/2.05 cnf(cls_analz__mono_0,axiom,
% 1.94/2.05 ( c_lessequals(c_Message_Oanalz(V_G),c_Message_Oanalz(V_H),tc_fun(tc_Message_Omsg,tc_bool))
% 1.94/2.05 | ~ c_lessequals(V_G,V_H,tc_fun(tc_Message_Omsg,tc_bool)) ) ).
% 1.94/2.05
% 1.94/2.05 cnf(cls_parts__subset__iff_0,axiom,
% 1.94/2.05 ( c_lessequals(V_G,c_Message_Oparts(V_H),tc_fun(tc_Message_Omsg,tc_bool))
% 1.94/2.05 | ~ c_lessequals(c_Message_Oparts(V_G),c_Message_Oparts(V_H),tc_fun(tc_Message_Omsg,tc_bool)) ) ).
% 1.94/2.05
% 1.94/2.05 cnf(cls_parts__subset__iff_1,axiom,
% 1.94/2.05 ( c_lessequals(c_Message_Oparts(V_G),c_Message_Oparts(V_H),tc_fun(tc_Message_Omsg,tc_bool))
% 1.94/2.05 | ~ c_lessequals(V_G,c_Message_Oparts(V_H),tc_fun(tc_Message_Omsg,tc_bool)) ) ).
% 1.94/2.05
% 1.94/2.05 cnf(cls_parts__mono_0,axiom,
% 1.94/2.05 ( c_lessequals(c_Message_Oparts(V_G),c_Message_Oparts(V_H),tc_fun(tc_Message_Omsg,tc_bool))
% 1.94/2.05 | ~ c_lessequals(V_G,V_H,tc_fun(tc_Message_Omsg,tc_bool)) ) ).
% 1.94/2.05
% 1.94/2.05 cnf(cls_parts__increasing_0,axiom,
% 1.94/2.05 c_lessequals(V_H,c_Message_Oparts(V_H),tc_fun(tc_Message_Omsg,tc_bool)) ).
% 1.94/2.05
% 1.94/2.05 cnf(cls_imageI_0,axiom,
% 1.94/2.05 ( hBOOL(c_in(hAPP(V_f,V_x),c_Set_Oimage(V_f,V_A,T_a,T_b),T_b))
% 1.94/2.05 | ~ hBOOL(c_in(V_x,V_A,T_a)) ) ).
% 1.94/2.05
% 1.94/2.05 cnf(cls_image__eqI_0,axiom,
% 1.94/2.05 ( hBOOL(c_in(hAPP(V_f,V_x),c_Set_Oimage(V_f,V_A,T_b,T_a),T_a))
% 1.94/2.05 | ~ hBOOL(c_in(V_x,V_A,T_b)) ) ).
% 1.94/2.05
% 1.94/2.05 cnf(cls_image__iff_2,axiom,
% 1.94/2.05 ( ~ hBOOL(c_in(V_x,V_A,T_b))
% 1.94/2.05 | hBOOL(c_in(hAPP(V_f,V_x),c_Set_Oimage(V_f,V_A,T_b,T_a),T_a)) ) ).
% 1.94/2.05
% 1.94/2.05 cnf(cls_rev__image__eqI_0,axiom,
% 1.94/2.05 ( ~ hBOOL(c_in(V_x,V_A,T_aa))
% 1.94/2.05 | hBOOL(c_in(hAPP(V_f,V_x),c_Set_Oimage(V_f,V_A,T_aa,T_a),T_a)) ) ).
% 1.94/2.05
% 1.94/2.05 cnf(cls_UNIV__I_0,axiom,
% 1.94/2.05 hBOOL(c_in(V_x,c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_bool)),T_a)) ).
% 1.94/2.05
% 1.94/2.05 cnf(cls_set__mp_0,axiom,
% 1.94/2.05 ( hBOOL(c_in(V_x,V_B,T_a))
% 1.94/2.05 | ~ hBOOL(c_in(V_x,V_A,T_a))
% 1.94/2.05 | ~ c_lessequals(V_A,V_B,tc_fun(T_a,tc_bool)) ) ).
% 1.94/2.05
% 1.94/2.05 cnf(cls_subsetD_0,axiom,
% 1.94/2.05 ( hBOOL(c_in(V_c,V_B,T_a))
% 1.94/2.05 | ~ hBOOL(c_in(V_c,V_A,T_a))
% 1.94/2.05 | ~ c_lessequals(V_A,V_B,tc_fun(T_a,tc_bool)) ) ).
% 1.94/2.05
% 1.94/2.05 cnf(cls_set__rev__mp_0,axiom,
% 1.94/2.05 ( hBOOL(c_in(V_x,V_B,T_a))
% 1.94/2.05 | ~ c_lessequals(V_A,V_B,tc_fun(T_a,tc_bool))
% 1.94/2.05 | ~ hBOOL(c_in(V_x,V_A,T_a)) ) ).
% 1.94/2.05
% 1.94/2.05 cnf(cls_subset__iff_0,axiom,
% 1.94/2.05 ( hBOOL(c_in(V_t,V_B,T_a))
% 1.94/2.05 | ~ hBOOL(c_in(V_t,V_A,T_a))
% 1.94/2.05 | ~ c_lessequals(V_A,V_B,tc_fun(T_a,tc_bool)) ) ).
% 1.94/2.05
% 1.94/2.05 cnf(cls_le__funD_0,axiom,
% 1.94/2.05 ( ~ class_HOL_Oord(T_b)
% 1.94/2.05 | c_lessequals(hAPP(V_f,V_x),hAPP(V_g,V_x),T_b)
% 1.94/2.05 | ~ c_lessequals(V_f,V_g,tc_fun(T_a,T_b)) ) ).
% 1.94/2.05
% 1.94/2.05 cnf(cls_not__Cons__self_0,axiom,
% 1.94/2.05 V_xs != c_List_Olist_OCons(V_x,V_xs,T_a) ).
% 1.94/2.05
% 1.94/2.05 cnf(cls_not__Cons__self2_0,axiom,
% 1.94/2.05 c_List_Olist_OCons(V_x,V_t,T_a) != V_t ).
% 1.94/2.05
% 1.94/2.05 cnf(cls_Server__not__bad_0,axiom,
% 1.94/2.05 ~ hBOOL(c_in(c_Message_Oagent_OServer,c_Event_Obad,tc_Message_Oagent)) ).
% 1.94/2.05
% 1.94/2.05 cnf(cls_knows__subset__knows__Cons_0,axiom,
% 1.94/2.05 c_lessequals(c_Event_Oknows(V_A,V_evs),c_Event_Oknows(V_A,c_List_Olist_OCons(V_e,V_evs,tc_Event_Oevent)),tc_fun(tc_Message_Omsg,tc_bool)) ).
% 1.94/2.05
% 1.94/2.05 cnf(cls_knows__subset__knows__Gets_0,axiom,
% 1.94/2.05 c_lessequals(c_Event_Oknows(V_A,V_evs),c_Event_Oknows(V_A,c_List_Olist_OCons(c_Event_Oevent_OGets(V_A_H,V_X),V_evs,tc_Event_Oevent)),tc_fun(tc_Message_Omsg,tc_bool)) ).
% 1.94/2.05
% 1.94/2.05 cnf(cls_knows__Spy__Notes_1,axiom,
% 1.94/2.05 ( c_Event_Oknows(c_Message_Oagent_OSpy,c_List_Olist_OCons(c_Event_Oevent_ONotes(V_A,V_X),V_evs,tc_Event_Oevent)) = c_Event_Oknows(c_Message_Oagent_OSpy,V_evs)
% 1.94/2.05 | hBOOL(c_in(V_A,c_Event_Obad,tc_Message_Oagent)) ) ).
% 1.94/2.05
% 1.94/2.05 cnf(cls_rangeI_0,axiom,
% 1.94/2.05 hBOOL(c_in(hAPP(V_f,V_x),c_Set_Oimage(V_f,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_bool)),T_b,T_a),T_a)) ).
% 1.94/2.05
% 1.94/2.05 cnf(cls_publicKey__inject_0,axiom,
% 1.94/2.05 ( hAPP(c_Public_OpublicKey(V_b),V_A) != hAPP(c_Public_OpublicKey(V_c),V_A_H)
% 1.94/2.05 | V_b = V_c ) ).
% 1.94/2.05
% 1.94/2.05 cnf(cls_publicKey__inject_1,axiom,
% 1.94/2.05 ( hAPP(c_Public_OpublicKey(V_b),V_A) != hAPP(c_Public_OpublicKey(V_c),V_A_H)
% 1.94/2.05 | V_A = V_A_H ) ).
% 1.94/2.05
% 1.94/2.05 cnf(cls_image__subset__iff_0,axiom,
% 1.94/2.05 ( hBOOL(c_in(hAPP(V_f,V_x),V_B,T_a))
% 1.94/2.05 | ~ hBOOL(c_in(V_x,V_A,T_b))
% 1.94/2.05 | ~ c_lessequals(c_Set_Oimage(V_f,V_A,T_b,T_a),V_B,tc_fun(T_a,tc_bool)) ) ).
% 1.94/2.05
% 1.94/2.05 cnf(cls_publicKey__image__eq_0,axiom,
% 1.94/2.05 ( V_b = V_c
% 1.94/2.05 | ~ hBOOL(c_in(hAPP(c_Public_OpublicKey(V_b),V_x),c_Set_Oimage(c_Public_OpublicKey(V_c),V_AA,tc_Message_Oagent,tc_nat),tc_nat)) ) ).
% 1.94/2.05
% 1.94/2.05 cnf(cls_publicKey__image__eq_1,axiom,
% 1.94/2.05 ( hBOOL(c_in(V_x,V_AA,tc_Message_Oagent))
% 1.94/2.05 | ~ hBOOL(c_in(hAPP(c_Public_OpublicKey(V_b),V_x),c_Set_Oimage(c_Public_OpublicKey(V_c),V_AA,tc_Message_Oagent,tc_nat),tc_nat)) ) ).
% 1.94/2.05
% 1.94/2.05 cnf(cls_publicKey__image__eq_2,axiom,
% 1.94/2.05 ( hBOOL(c_in(hAPP(c_Public_OpublicKey(V_x),V_xa),c_Set_Oimage(c_Public_OpublicKey(V_x),V_AA,tc_Message_Oagent,tc_nat),tc_nat))
% 1.94/2.05 | ~ hBOOL(c_in(V_xa,V_AA,tc_Message_Oagent)) ) ).
% 1.94/2.05
% 1.94/2.05 cnf(cls_event_Osimps_I2_J_1,axiom,
% 1.94/2.05 ( c_Event_Oevent_OGets(V_agent,V_msg) != c_Event_Oevent_OGets(V_agent_H,V_msg_H)
% 1.94/2.05 | V_msg = V_msg_H ) ).
% 1.94/2.05
% 1.94/2.05 cnf(cls_event_Osimps_I2_J_0,axiom,
% 1.94/2.05 ( c_Event_Oevent_OGets(V_agent,V_msg) != c_Event_Oevent_OGets(V_agent_H,V_msg_H)
% 1.94/2.05 | V_agent = V_agent_H ) ).
% 1.94/2.05
% 1.94/2.05 cnf(cls_top1I_0,axiom,
% 1.94/2.05 hBOOL(hAPP(c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_bool)),V_x)) ).
% 1.94/2.05
% 1.94/2.05 cnf(cls_top__fun__eq_0,axiom,
% 1.94/2.05 ( ~ class_Orderings_Otop(T_b)
% 1.94/2.05 | hAPP(c_Orderings_Otop__class_Otop(tc_fun(t_a,T_b)),v_x) = c_Orderings_Otop__class_Otop(T_b) ) ).
% 1.94/2.05
% 1.94/2.05 cnf(cls_equalityI_0,axiom,
% 1.94/2.05 ( V_A = V_B
% 1.94/2.05 | ~ c_lessequals(V_B,V_A,tc_fun(T_a,tc_bool))
% 1.94/2.05 | ~ c_lessequals(V_A,V_B,tc_fun(T_a,tc_bool)) ) ).
% 1.94/2.05
% 1.94/2.05 cnf(cls_set__eq__subset_2,axiom,
% 1.94/2.05 ( V_A = V_B
% 1.94/2.05 | ~ c_lessequals(V_B,V_A,tc_fun(T_a,tc_bool))
% 1.94/2.05 | ~ c_lessequals(V_A,V_B,tc_fun(T_a,tc_bool)) ) ).
% 1.94/2.05
% 1.94/2.05 cnf(cls_order__eq__iff_2,axiom,
% 1.94/2.05 ( ~ class_Orderings_Oorder(T_a)
% 1.94/2.05 | V_x = V_y
% 1.94/2.05 | ~ c_lessequals(V_y,V_x,T_a)
% 1.94/2.05 | ~ c_lessequals(V_x,V_y,T_a) ) ).
% 1.94/2.05
% 1.94/2.05 cnf(cls_order__antisym_0,axiom,
% 1.94/2.05 ( ~ class_Orderings_Oorder(T_a)
% 1.94/2.05 | V_x = V_y
% 1.94/2.05 | ~ c_lessequals(V_y,V_x,T_a)
% 1.94/2.05 | ~ c_lessequals(V_x,V_y,T_a) ) ).
% 1.94/2.05
% 1.94/2.05 cnf(cls_order__antisym__conv_0,axiom,
% 1.94/2.05 ( ~ class_Orderings_Oorder(T_a)
% 1.94/2.05 | V_x = V_y
% 1.94/2.05 | ~ c_lessequals(V_x,V_y,T_a)
% 1.94/2.05 | ~ c_lessequals(V_y,V_x,T_a) ) ).
% 1.94/2.05
% 1.94/2.05 cnf(cls_event_Osimps_I8_J_0,axiom,
% 1.94/2.05 c_Event_Oevent_OGets(V_agent,V_msg) != c_Event_Oevent_ONotes(V_agent_H,V_msg_H) ).
% 1.94/2.05
% 1.94/2.05 cnf(cls_event_Osimps_I3_J_1,axiom,
% 1.94/2.05 ( c_Event_Oevent_ONotes(V_agent,V_msg) != c_Event_Oevent_ONotes(V_agent_H,V_msg_H)
% 1.94/2.05 | V_msg = V_msg_H ) ).
% 1.94/2.05
% 1.94/2.05 cnf(cls_event_Osimps_I3_J_0,axiom,
% 1.94/2.05 ( c_Event_Oevent_ONotes(V_agent,V_msg) != c_Event_Oevent_ONotes(V_agent_H,V_msg_H)
% 1.94/2.05 | V_agent = V_agent_H ) ).
% 1.94/2.05
% 1.94/2.05 cnf(cls_Spy__in__bad_0,axiom,
% 1.94/2.05 hBOOL(c_in(c_Message_Oagent_OSpy,c_Event_Obad,tc_Message_Oagent)) ).
% 1.94/2.05
% 1.94/2.05 cnf(cls_set__subset__Cons_0,axiom,
% 1.94/2.05 c_lessequals(c_List_Oset(V_xs,T_a),c_List_Oset(c_List_Olist_OCons(V_x,V_xs,T_a),T_a),tc_fun(T_a,tc_bool)) ).
% 1.94/2.05
% 1.94/2.05 cnf(cls_knows__Spy__subset__knows__Spy__Notes_0,axiom,
% 1.94/2.05 c_lessequals(c_Event_Oknows(c_Message_Oagent_OSpy,V_evs),c_Event_Oknows(c_Message_Oagent_OSpy,c_List_Olist_OCons(c_Event_Oevent_ONotes(V_A,V_X),V_evs,tc_Event_Oevent)),tc_fun(tc_Message_Omsg,tc_bool)) ).
% 1.94/2.05
% 1.94/2.05 cnf(cls_subset__UNIV_0,axiom,
% 1.94/2.05 c_lessequals(V_A,c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)) ).
% 1.94/2.05
% 1.94/2.05 cnf(cls_top__greatest_0,axiom,
% 1.94/2.05 ( ~ class_Orderings_Otop(T_a)
% 1.94/2.05 | c_lessequals(V_x,c_Orderings_Otop__class_Otop(T_a),T_a) ) ).
% 1.94/2.05
% 1.94/2.05 cnf(cls_event_Osimps_I9_J_0,axiom,
% 1.94/2.05 c_Event_Oevent_ONotes(V_agent_H,V_msg_H) != c_Event_Oevent_OGets(V_agent,V_msg) ).
% 1.94/2.05
% 1.94/2.05 cnf(cls_xt1_I6_J_0,axiom,
% 1.94/2.05 ( ~ class_Orderings_Oorder(T_a)
% 1.94/2.05 | c_lessequals(V_z,V_x,T_a)
% 1.94/2.05 | ~ c_lessequals(V_z,V_y,T_a)
% 1.94/2.05 | ~ c_lessequals(V_y,V_x,T_a) ) ).
% 1.94/2.05
% 1.94/2.05 cnf(cls_order__trans_0,axiom,
% 1.94/2.05 ( ~ class_Orderings_Opreorder(T_a)
% 1.94/2.05 | c_lessequals(V_x,V_z,T_a)
% 1.94/2.05 | ~ c_lessequals(V_y,V_z,T_a)
% 1.94/2.05 | ~ c_lessequals(V_x,V_y,T_a) ) ).
% 1.94/2.05
% 1.94/2.05 cnf(cls_equalityE_0,axiom,
% 1.94/2.05 c_lessequals(V_x,V_x,tc_fun(T_a,tc_bool)) ).
% 1.94/2.05
% 1.94/2.05 cnf(cls_subset__refl_0,axiom,
% 1.94/2.05 c_lessequals(V_A,V_A,tc_fun(T_a,tc_bool)) ).
% 1.94/2.05
% 1.94/2.05 cnf(cls_subset__trans_0,axiom,
% 1.94/2.05 ( c_lessequals(V_A,V_C,tc_fun(T_a,tc_bool))
% 1.94/2.05 | ~ c_lessequals(V_B,V_C,tc_fun(T_a,tc_bool))
% 1.94/2.05 | ~ c_lessequals(V_A,V_B,tc_fun(T_a,tc_bool)) ) ).
% 1.94/2.05
% 1.94/2.05 cnf(cls_predicate1D_0,axiom,
% 1.94/2.05 ( hBOOL(hAPP(V_Q,V_x))
% 1.94/2.05 | ~ hBOOL(hAPP(V_P,V_x))
% 1.94/2.05 | ~ c_lessequals(V_P,V_Q,tc_fun(T_a,tc_bool)) ) ).
% 1.94/2.05
% 1.94/2.05 cnf(cls_order__eq__iff_0,axiom,
% 1.94/2.05 ( ~ class_Orderings_Oorder(T_a)
% 1.94/2.05 | c_lessequals(V_x,V_x,T_a) ) ).
% 1.94/2.05
% 1.94/2.05 cnf(cls_order__eq__refl_0,axiom,
% 1.94/2.05 ( ~ class_Orderings_Opreorder(T_a)
% 1.94/2.05 | c_lessequals(V_x,V_x,T_a) ) ).
% 1.94/2.05
% 1.94/2.05 cnf(cls_rev__predicate1D_0,axiom,
% 1.94/2.05 ( hBOOL(hAPP(V_Q,V_x))
% 1.94/2.05 | ~ c_lessequals(V_P,V_Q,tc_fun(T_a,tc_bool))
% 1.94/2.05 | ~ hBOOL(hAPP(V_P,V_x)) ) ).
% 1.94/2.05
% 1.94/2.05 cnf(cls_list_Oinject_0,axiom,
% 1.94/2.05 ( c_List_Olist_OCons(V_a,V_list,T_a) != c_List_Olist_OCons(V_a_H,V_list_H,T_a)
% 1.94/2.05 | V_a = V_a_H ) ).
% 1.94/2.05
% 1.94/2.05 cnf(cls_list_Oinject_1,axiom,
% 1.94/2.05 ( c_List_Olist_OCons(V_a,V_list,T_a) != c_List_Olist_OCons(V_a_H,V_list_H,T_a)
% 1.94/2.05 | V_list = V_list_H ) ).
% 1.94/2.05
% 1.94/2.05 cnf(cls_knows__Spy__subset__knows__Spy__Gets_0,axiom,
% 1.94/2.05 c_lessequals(c_Event_Oknows(c_Message_Oagent_OSpy,V_evs),c_Event_Oknows(c_Message_Oagent_OSpy,c_List_Olist_OCons(c_Event_Oevent_OGets(V_A,V_X),V_evs,tc_Event_Oevent)),tc_fun(tc_Message_Omsg,tc_bool)) ).
% 1.94/2.05
% 1.94/2.05 cnf(cls_knows__subset__knows__Notes_0,axiom,
% 1.94/2.05 c_lessequals(c_Event_Oknows(V_A,V_evs),c_Event_Oknows(V_A,c_List_Olist_OCons(c_Event_Oevent_ONotes(V_A_H,V_X),V_evs,tc_Event_Oevent)),tc_fun(tc_Message_Omsg,tc_bool)) ).
% 1.94/2.05
% 1.94/2.05 cnf(cls_image__mono_0,axiom,
% 1.94/2.05 ( c_lessequals(c_Set_Oimage(V_f,V_A,T_a,T_b),c_Set_Oimage(V_f,V_B,T_a,T_b),tc_fun(T_b,tc_bool))
% 1.94/2.05 | ~ c_lessequals(V_A,V_B,tc_fun(T_a,tc_bool)) ) ).
% 1.94/2.05
% 1.94/2.05 cnf(cls_subset__image__iff_2,axiom,
% 1.94/2.05 ( ~ c_lessequals(V_x,V_A,tc_fun(T_b,tc_bool))
% 1.94/2.05 | c_lessequals(c_Set_Oimage(V_f,V_x,T_b,T_a),c_Set_Oimage(V_f,V_A,T_b,T_a),tc_fun(T_a,tc_bool)) ) ).
% 1.94/2.05
% 1.94/2.05 cnf(cls_used__Gets_0,axiom,
% 1.94/2.05 c_Event_Oused(c_List_Olist_OCons(c_Event_Oevent_OGets(V_A,V_X),V_evs,tc_Event_Oevent)) = c_Event_Oused(V_evs) ).
% 1.94/2.05
% 1.94/2.05 cnf(cls_linorder__linear_0,axiom,
% 1.94/2.05 ( ~ class_Orderings_Olinorder(T_a)
% 1.94/2.05 | c_lessequals(V_y,V_x,T_a)
% 1.94/2.05 | c_lessequals(V_x,V_y,T_a) ) ).
% 1.94/2.05
% 1.94/2.05 cnf(cls_Spy__analz__shrK_0,axiom,
% 1.94/2.05 ( hBOOL(c_in(V_A,c_Event_Obad,tc_Message_Oagent))
% 1.94/2.05 | ~ hBOOL(c_in(hAPP(c_Message_Omsg_OKey,hAPP(c_Public_OshrK,V_A)),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,V_evs)),tc_Message_Omsg))
% 1.94/2.05 | ~ hBOOL(c_in(V_evs,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))) ) ).
% 1.94/2.05
% 1.94/2.05 cnf(cls_Spy__analz__shrK_1,axiom,
% 1.94/2.05 ( hBOOL(c_in(hAPP(c_Message_Omsg_OKey,hAPP(c_Public_OshrK,V_A)),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,V_evs)),tc_Message_Omsg))
% 1.94/2.05 | ~ hBOOL(c_in(V_A,c_Event_Obad,tc_Message_Oagent))
% 1.94/2.05 | ~ hBOOL(c_in(V_evs,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))) ) ).
% 1.94/2.05
% 1.94/2.05 cnf(cls_parts__knows__Spy__subset__used_0,axiom,
% 1.94/2.05 c_lessequals(c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,V_evs)),c_Event_Oused(V_evs),tc_fun(tc_Message_Omsg,tc_bool)) ).
% 1.94/2.05
% 1.94/2.05 cnf(cls_Notes__imp__knows_0,axiom,
% 1.94/2.05 ( hBOOL(c_in(V_X,c_Event_Oknows(V_A,V_evs),tc_Message_Omsg))
% 1.94/2.05 | ~ hBOOL(c_in(c_Event_Oevent_ONotes(V_A,V_X),c_List_Oset(V_evs,tc_Event_Oevent),tc_Event_Oevent)) ) ).
% 1.94/2.05
% 1.94/2.05 cnf(cls_Crypt__imp__keysFor_0,axiom,
% 1.94/2.05 ( hBOOL(c_in(V_K,c_Message_OkeysFor(V_H),tc_nat))
% 1.94/2.05 | ~ hBOOL(c_in(V_K,c_Message_OsymKeys,tc_nat))
% 1.94/2.05 | ~ hBOOL(c_in(c_Message_Omsg_OCrypt(V_K,V_X),V_H,tc_Message_Omsg)) ) ).
% 1.94/2.05
% 1.94/2.05 cnf(cls_Notes__imp__used_0,axiom,
% 1.94/2.05 ( hBOOL(c_in(V_X,c_Event_Oused(V_evs),tc_Message_Omsg))
% 1.94/2.05 | ~ hBOOL(c_in(c_Event_Oevent_ONotes(V_A,V_X),c_List_Oset(V_evs,tc_Event_Oevent),tc_Event_Oevent)) ) ).
% 1.94/2.05
% 1.94/2.05 cnf(cls_analz__spies__pubK_0,axiom,
% 1.94/2.05 hBOOL(c_in(hAPP(c_Message_Omsg_OKey,hAPP(c_Public_OpublicKey(V_b),V_A)),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,V_evs)),tc_Message_Omsg)) ).
% 1.94/2.05
% 1.94/2.05 cnf(cls_analz__mono__contra_I1_J_0,axiom,
% 1.94/2.05 ( ~ hBOOL(c_in(V_c,c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,V_evs)),tc_Message_Omsg))
% 1.94/2.05 | hBOOL(c_in(V_c,c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,c_List_Olist_OCons(c_Event_Oevent_OSays(V_A,V_B,V_X),V_evs,tc_Event_Oevent))),tc_Message_Omsg)) ) ).
% 1.94/2.05
% 1.94/2.05 cnf(cls_ns__sharedp_ONS3_0,axiom,
% 1.94/2.05 ( hBOOL(c_NS__Shared__Mirabelle_Ons__sharedp(c_List_Olist_OCons(c_Event_Oevent_OSays(V_A,V_B,V_X),V_evs3,tc_Event_Oevent)))
% 1.94/2.05 | ~ hBOOL(c_in(c_Event_Oevent_OSays(V_A,c_Message_Oagent_OServer,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(V_A),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(V_B),c_Message_Omsg_ONonce(V_NA)))),c_List_Oset(V_evs3,tc_Event_Oevent),tc_Event_Oevent))
% 1.94/2.05 | ~ hBOOL(c_in(c_Event_Oevent_OSays(V_S,V_A,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,V_A),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(V_NA),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(V_B),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,V_K),V_X))))),c_List_Oset(V_evs3,tc_Event_Oevent),tc_Event_Oevent))
% 1.94/2.05 | V_A = c_Message_Oagent_OServer
% 1.94/2.05 | ~ hBOOL(c_NS__Shared__Mirabelle_Ons__sharedp(V_evs3)) ) ).
% 1.94/2.05
% 1.94/2.05 cnf(cls_B__trusts__NS3_0,axiom,
% 1.94/2.05 ( hBOOL(c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,V_A,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,V_A),c_Message_Omsg_OMPair(v_sko__NS__Shared__Mirabelle__XB__trusts__NS3__1(V_A,V_B,V_K,V_evs),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(V_B),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,V_K),c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,V_B),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,V_K),c_Message_Omsg_OAgent(V_A)))))))),c_List_Oset(V_evs,tc_Event_Oevent),tc_Event_Oevent))
% 1.94/2.05 | ~ hBOOL(c_in(V_evs,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent)))
% 1.94/2.05 | hBOOL(c_in(V_B,c_Event_Obad,tc_Message_Oagent))
% 1.94/2.05 | ~ hBOOL(c_in(c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,V_B),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,V_K),c_Message_Omsg_OAgent(V_A))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,V_evs)),tc_Message_Omsg)) ) ).
% 1.94/2.05
% 1.94/2.05 cnf(cls_Gets__imp__knows__agents_0,axiom,
% 1.94/2.05 ( hBOOL(c_in(V_X,c_Event_Oknows(V_A,V_evs),tc_Message_Omsg))
% 1.94/2.05 | ~ hBOOL(c_in(c_Event_Oevent_OGets(V_A,V_X),c_List_Oset(V_evs,tc_Event_Oevent),tc_Event_Oevent))
% 1.94/2.05 | V_A = c_Message_Oagent_OSpy ) ).
% 1.94/2.05
% 1.94/2.05 cnf(cls_cert__A__form_1,axiom,
% 1.94/2.05 ( V_X = c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,V_B),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,V_K),c_Message_Omsg_OAgent(V_A)))
% 1.94/2.05 | ~ hBOOL(c_in(V_evs,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent)))
% 1.94/2.05 | hBOOL(c_in(V_A,c_Event_Obad,tc_Message_Oagent))
% 1.94/2.05 | ~ hBOOL(c_in(c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,V_A),c_Message_Omsg_OMPair(V_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(V_B),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,V_K),V_X)))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,V_evs)),tc_Message_Omsg)) ) ).
% 1.94/2.05
% 1.94/2.05 cnf(cls_ns__sharedp_ONS5_0,axiom,
% 1.94/2.05 ( hBOOL(c_NS__Shared__Mirabelle_Ons__sharedp(c_List_Olist_OCons(c_Event_Oevent_OSays(V_A,V_B,c_Message_Omsg_OCrypt(V_K,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(V_NB),c_Message_Omsg_ONonce(V_NB)))),V_evs5,tc_Event_Oevent)))
% 1.94/2.05 | ~ hBOOL(c_in(c_Event_Oevent_OSays(V_S,V_A,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,V_A),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(V_NA),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(V_B),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,V_K),V_X))))),c_List_Oset(V_evs5,tc_Event_Oevent),tc_Event_Oevent))
% 1.94/2.05 | ~ hBOOL(c_in(c_Event_Oevent_OSays(V_B_H,V_A,c_Message_Omsg_OCrypt(V_K,c_Message_Omsg_ONonce(V_NB))),c_List_Oset(V_evs5,tc_Event_Oevent),tc_Event_Oevent))
% 1.94/2.05 | ~ hBOOL(c_in(V_K,c_Message_OsymKeys,tc_nat))
% 1.94/2.05 | ~ hBOOL(c_NS__Shared__Mirabelle_Ons__sharedp(V_evs5)) ) ).
% 1.94/2.05
% 1.94/2.05 cnf(cls_Says__Server__message__form_0,axiom,
% 1.94/2.05 ( ~ hBOOL(c_in(V_K,c_Set_Oimage(c_Public_OshrK,c_Orderings_Otop__class_Otop(tc_fun(tc_Message_Oagent,tc_bool)),tc_Message_Oagent,tc_nat),tc_nat))
% 1.94/2.05 | ~ hBOOL(c_in(V_evs,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent)))
% 1.94/2.05 | ~ hBOOL(c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,V_A,c_Message_Omsg_OCrypt(V_K_H,c_Message_Omsg_OMPair(V_N,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(V_B),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,V_K),V_X))))),c_List_Oset(V_evs,tc_Event_Oevent),tc_Event_Oevent)) ) ).
% 1.94/2.05
% 1.94/2.05 cnf(cls_ns__sharedp_ONS4_0,axiom,
% 1.94/2.05 ( hBOOL(c_NS__Shared__Mirabelle_Ons__sharedp(c_List_Olist_OCons(c_Event_Oevent_OSays(V_B,V_A,c_Message_Omsg_OCrypt(V_K,c_Message_Omsg_ONonce(V_NB))),V_evs4,tc_Event_Oevent)))
% 1.94/2.05 | ~ hBOOL(c_in(c_Event_Oevent_OSays(V_A_H,V_B,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,V_B),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,V_K),c_Message_Omsg_OAgent(V_A)))),c_List_Oset(V_evs4,tc_Event_Oevent),tc_Event_Oevent))
% 1.94/2.05 | ~ hBOOL(c_in(V_K,c_Message_OsymKeys,tc_nat))
% 1.94/2.05 | hBOOL(c_in(c_Message_Omsg_ONonce(V_NB),c_Event_Oused(V_evs4),tc_Message_Omsg))
% 1.94/2.05 | ~ hBOOL(c_NS__Shared__Mirabelle_Ons__sharedp(V_evs4)) ) ).
% 1.94/2.05
% 1.94/2.05 cnf(cls_ns__shared_OOops_0,axiom,
% 1.94/2.05 ( hBOOL(c_in(c_List_Olist_OCons(c_Event_Oevent_ONotes(c_Message_Oagent_OSpy,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(V_NA),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(V_NB),hAPP(c_Message_Omsg_OKey,V_K)))),V_evso,tc_Event_Oevent),c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent)))
% 1.94/2.05 | ~ hBOOL(c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,V_A,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,V_A),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(V_NA),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(V_B),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,V_K),V_X))))),c_List_Oset(V_evso,tc_Event_Oevent),tc_Event_Oevent))
% 1.94/2.05 | ~ hBOOL(c_in(c_Event_Oevent_OSays(V_B,V_A,c_Message_Omsg_OCrypt(V_K,c_Message_Omsg_ONonce(V_NB))),c_List_Oset(V_evso,tc_Event_Oevent),tc_Event_Oevent))
% 1.94/2.05 | ~ hBOOL(c_in(V_evso,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))) ) ).
% 1.94/2.05
% 1.94/2.05 cnf(cls_ns__sharedp_ONS2_0,axiom,
% 1.94/2.05 ( hBOOL(c_NS__Shared__Mirabelle_Ons__sharedp(c_List_Olist_OCons(c_Event_Oevent_OSays(c_Message_Oagent_OServer,V_A,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,V_A),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(V_NA),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(V_B),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,V_KAB),c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,V_B),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,V_KAB),c_Message_Omsg_OAgent(V_A)))))))),V_evs2,tc_Event_Oevent)))
% 1.94/2.05 | ~ hBOOL(c_in(c_Event_Oevent_OSays(V_A_H,c_Message_Oagent_OServer,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(V_A),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(V_B),c_Message_Omsg_ONonce(V_NA)))),c_List_Oset(V_evs2,tc_Event_Oevent),tc_Event_Oevent))
% 1.94/2.05 | ~ hBOOL(c_in(V_KAB,c_Message_OsymKeys,tc_nat))
% 1.94/2.05 | hBOOL(c_in(hAPP(c_Message_Omsg_OKey,V_KAB),c_Event_Oused(V_evs2),tc_Message_Omsg))
% 1.94/2.05 | ~ hBOOL(c_NS__Shared__Mirabelle_Ons__sharedp(V_evs2)) ) ).
% 1.94/2.05
% 1.94/2.05 cnf(cls_A__trusts__NS2_0,axiom,
% 1.94/2.05 ( hBOOL(c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,V_A,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,V_A),c_Message_Omsg_OMPair(V_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(V_B),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,V_K),V_X))))),c_List_Oset(V_evs,tc_Event_Oevent),tc_Event_Oevent))
% 1.94/2.05 | ~ hBOOL(c_in(V_evs,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent)))
% 1.94/2.05 | hBOOL(c_in(V_A,c_Event_Obad,tc_Message_Oagent))
% 1.94/2.05 | ~ hBOOL(c_in(c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,V_A),c_Message_Omsg_OMPair(V_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(V_B),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,V_K),V_X)))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,V_evs)),tc_Message_Omsg)) ) ).
% 1.94/2.05
% 1.94/2.05 cnf(cls_Says__S__message__form_0,axiom,
% 1.94/2.05 ( hBOOL(c_in(V_X,c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,V_evs)),tc_Message_Omsg))
% 1.94/2.05 | ~ hBOOL(c_in(V_K,c_Set_Oimage(c_Public_OshrK,c_Orderings_Otop__class_Otop(tc_fun(tc_Message_Oagent,tc_bool)),tc_Message_Oagent,tc_nat),tc_nat))
% 1.94/2.05 | ~ hBOOL(c_in(V_evs,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent)))
% 1.94/2.05 | ~ hBOOL(c_in(c_Event_Oevent_OSays(V_S,V_A,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,V_A),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(V_NA),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(V_B),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,V_K),V_X))))),c_List_Oset(V_evs,tc_Event_Oevent),tc_Event_Oevent)) ) ).
% 1.94/2.05
% 1.94/2.05 cnf(cls_ns__shared_ONS1_0,axiom,
% 1.94/2.05 ( hBOOL(c_in(c_List_Olist_OCons(c_Event_Oevent_OSays(V_A,c_Message_Oagent_OServer,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(V_A),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(V_B),c_Message_Omsg_ONonce(V_NA)))),V_evs1,tc_Event_Oevent),c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent)))
% 1.94/2.05 | hBOOL(c_in(c_Message_Omsg_ONonce(V_NA),c_Event_Oused(V_evs1),tc_Message_Omsg))
% 1.94/2.05 | ~ hBOOL(c_in(V_evs1,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))) ) ).
% 1.94/2.05
% 1.94/2.05 cnf(cls_new__keys__not__used_0,axiom,
% 1.94/2.05 ( ~ hBOOL(c_in(V_K,c_Message_OkeysFor(c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,V_evs))),tc_nat))
% 1.94/2.05 | ~ hBOOL(c_in(V_evs,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent)))
% 1.94/2.05 | ~ hBOOL(c_in(V_K,c_Message_OsymKeys,tc_nat))
% 1.94/2.05 | hBOOL(c_in(hAPP(c_Message_Omsg_OKey,V_K),c_Event_Oused(V_evs),tc_Message_Omsg)) ) ).
% 1.94/2.05
% 1.94/2.05 cnf(cls_ns__shared_ONS3_0,axiom,
% 1.94/2.05 ( hBOOL(c_in(c_List_Olist_OCons(c_Event_Oevent_OSays(V_A,V_B,V_X),V_evs3,tc_Event_Oevent),c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent)))
% 1.94/2.05 | ~ hBOOL(c_in(c_Event_Oevent_OSays(V_A,c_Message_Oagent_OServer,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(V_A),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(V_B),c_Message_Omsg_ONonce(V_NA)))),c_List_Oset(V_evs3,tc_Event_Oevent),tc_Event_Oevent))
% 1.94/2.05 | ~ hBOOL(c_in(c_Event_Oevent_OSays(V_S,V_A,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,V_A),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(V_NA),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(V_B),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,V_K),V_X))))),c_List_Oset(V_evs3,tc_Event_Oevent),tc_Event_Oevent))
% 1.94/2.05 | V_A = c_Message_Oagent_OServer
% 1.94/2.05 | ~ hBOOL(c_in(V_evs3,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))) ) ).
% 1.94/2.05
% 1.94/2.05 cnf(cls_ns__shared_ONS5_0,axiom,
% 1.94/2.05 ( hBOOL(c_in(c_List_Olist_OCons(c_Event_Oevent_OSays(V_A,V_B,c_Message_Omsg_OCrypt(V_K,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(V_NB),c_Message_Omsg_ONonce(V_NB)))),V_evs5,tc_Event_Oevent),c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent)))
% 1.94/2.05 | ~ hBOOL(c_in(c_Event_Oevent_OSays(V_S,V_A,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,V_A),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(V_NA),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(V_B),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,V_K),V_X))))),c_List_Oset(V_evs5,tc_Event_Oevent),tc_Event_Oevent))
% 1.94/2.05 | ~ hBOOL(c_in(c_Event_Oevent_OSays(V_B_H,V_A,c_Message_Omsg_OCrypt(V_K,c_Message_Omsg_ONonce(V_NB))),c_List_Oset(V_evs5,tc_Event_Oevent),tc_Event_Oevent))
% 1.94/2.05 | ~ hBOOL(c_in(V_K,c_Message_OsymKeys,tc_nat))
% 1.94/2.05 | ~ hBOOL(c_in(V_evs5,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))) ) ).
% 1.94/2.05
% 1.94/2.05 cnf(cls_ns__shared_ONS4_0,axiom,
% 1.94/2.05 ( hBOOL(c_in(c_List_Olist_OCons(c_Event_Oevent_OSays(V_B,V_A,c_Message_Omsg_OCrypt(V_K,c_Message_Omsg_ONonce(V_NB))),V_evs4,tc_Event_Oevent),c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent)))
% 1.94/2.05 | ~ hBOOL(c_in(c_Event_Oevent_OSays(V_A_H,V_B,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,V_B),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,V_K),c_Message_Omsg_OAgent(V_A)))),c_List_Oset(V_evs4,tc_Event_Oevent),tc_Event_Oevent))
% 1.94/2.05 | ~ hBOOL(c_in(V_K,c_Message_OsymKeys,tc_nat))
% 1.94/2.05 | hBOOL(c_in(c_Message_Omsg_ONonce(V_NB),c_Event_Oused(V_evs4),tc_Message_Omsg))
% 1.94/2.05 | ~ hBOOL(c_in(V_evs4,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))) ) ).
% 1.94/2.05
% 1.94/2.05 cnf(cls_ns__shared_ONS2_0,axiom,
% 1.94/2.05 ( hBOOL(c_in(c_List_Olist_OCons(c_Event_Oevent_OSays(c_Message_Oagent_OServer,V_A,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,V_A),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(V_NA),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(V_B),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,V_KAB),c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,V_B),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,V_KAB),c_Message_Omsg_OAgent(V_A)))))))),V_evs2,tc_Event_Oevent),c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent)))
% 1.94/2.05 | ~ hBOOL(c_in(c_Event_Oevent_OSays(V_A_H,c_Message_Oagent_OServer,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(V_A),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(V_B),c_Message_Omsg_ONonce(V_NA)))),c_List_Oset(V_evs2,tc_Event_Oevent),tc_Event_Oevent))
% 1.94/2.05 | ~ hBOOL(c_in(V_KAB,c_Message_OsymKeys,tc_nat))
% 1.94/2.05 | hBOOL(c_in(hAPP(c_Message_Omsg_OKey,V_KAB),c_Event_Oused(V_evs2),tc_Message_Omsg))
% 1.94/2.05 | ~ hBOOL(c_in(V_evs2,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))) ) ).
% 1.94/2.05
% 1.94/2.05 cnf(cls_sym__shrK_0,axiom,
% 1.94/2.05 hBOOL(c_in(hAPP(c_Public_OshrK,V_X),c_Message_OsymKeys,tc_nat)) ).
% 1.94/2.05
% 1.94/2.05 cnf(cls_msg_Osimps_I1_J_0,axiom,
% 1.94/2.05 ( c_Message_Omsg_OAgent(V_agent) != c_Message_Omsg_OAgent(V_agent_H)
% 1.94/2.05 | V_agent = V_agent_H ) ).
% 1.94/2.05
% 1.94/2.05 cnf(cls_parts__analz_0,axiom,
% 1.94/2.05 c_Message_Oparts(c_Message_Oanalz(V_H)) = c_Message_Oparts(V_H) ).
% 1.94/2.05
% 1.94/2.05 cnf(cls_Says__imp__knows_0,axiom,
% 1.94/2.05 ( hBOOL(c_in(V_X,c_Event_Oknows(V_A,V_evs),tc_Message_Omsg))
% 1.94/2.05 | ~ hBOOL(c_in(c_Event_Oevent_OSays(V_A,V_B,V_X),c_List_Oset(V_evs,tc_Event_Oevent),tc_Event_Oevent)) ) ).
% 1.94/2.05
% 1.94/2.05 cnf(cls_analz__idem_0,axiom,
% 1.94/2.05 c_Message_Oanalz(c_Message_Oanalz(V_H)) = c_Message_Oanalz(V_H) ).
% 1.94/2.05
% 1.94/2.05 cnf(cls_analz_OSnd_0,axiom,
% 1.94/2.05 ( hBOOL(c_in(V_Y,c_Message_Oanalz(V_H),tc_Message_Omsg))
% 1.94/2.05 | ~ hBOOL(c_in(c_Message_Omsg_OMPair(V_X,V_Y),c_Message_Oanalz(V_H),tc_Message_Omsg)) ) ).
% 1.94/2.05
% 1.94/2.05 cnf(cls_analz_OFst_0,axiom,
% 1.94/2.05 ( hBOOL(c_in(V_X,c_Message_Oanalz(V_H),tc_Message_Omsg))
% 1.94/2.05 | ~ hBOOL(c_in(c_Message_Omsg_OMPair(V_X,V_Y),c_Message_Oanalz(V_H),tc_Message_Omsg)) ) ).
% 1.94/2.05
% 1.94/2.05 cnf(cls_parts_OSnd_0,axiom,
% 1.94/2.05 ( hBOOL(c_in(V_Y,c_Message_Oparts(V_H),tc_Message_Omsg))
% 1.94/2.05 | ~ hBOOL(c_in(c_Message_Omsg_OMPair(V_X,V_Y),c_Message_Oparts(V_H),tc_Message_Omsg)) ) ).
% 1.94/2.05
% 1.94/2.05 cnf(cls_parts_OFst_0,axiom,
% 1.94/2.05 ( hBOOL(c_in(V_X,c_Message_Oparts(V_H),tc_Message_Omsg))
% 1.94/2.05 | ~ hBOOL(c_in(c_Message_Omsg_OMPair(V_X,V_Y),c_Message_Oparts(V_H),tc_Message_Omsg)) ) ).
% 1.94/2.05
% 1.94/2.05 cnf(cls_MPair__used_1,axiom,
% 1.94/2.05 ( hBOOL(c_in(V_Y,c_Event_Oused(V_H),tc_Message_Omsg))
% 1.94/2.05 | ~ hBOOL(c_in(c_Message_Omsg_OMPair(V_X,V_Y),c_Event_Oused(V_H),tc_Message_Omsg)) ) ).
% 1.94/2.05
% 1.94/2.05 cnf(cls_MPair__used_0,axiom,
% 1.94/2.05 ( hBOOL(c_in(V_X,c_Event_Oused(V_H),tc_Message_Omsg))
% 1.94/2.05 | ~ hBOOL(c_in(c_Message_Omsg_OMPair(V_X,V_Y),c_Event_Oused(V_H),tc_Message_Omsg)) ) ).
% 1.94/2.05
% 1.94/2.05 cnf(cls_msg_Osimps_I37_J_0,axiom,
% 1.94/2.05 c_Message_Omsg_OCrypt(V_nat_H,V_msg_H) != c_Message_Omsg_ONonce(V_nat) ).
% 1.94/2.05
% 1.94/2.05 cnf(cls_msg_Osimps_I12_J_0,axiom,
% 1.94/2.05 c_Message_Omsg_OAgent(V_agent) != hAPP(c_Message_Omsg_OKey,V_nat_H) ).
% 1.94/2.05
% 1.94/2.05 cnf(cls_msg_Osimps_I31_J_0,axiom,
% 1.94/2.05 hAPP(c_Message_Omsg_OKey,V_nat_H) != c_Message_Omsg_ONonce(V_nat) ).
% 1.94/2.05
% 1.94/2.05 cnf(cls_analz__Decrypt_H_0,axiom,
% 1.94/2.05 ( hBOOL(c_in(V_X,c_Message_Oanalz(V_H),tc_Message_Omsg))
% 1.94/2.05 | ~ hBOOL(c_in(hAPP(c_Message_Omsg_OKey,V_K),c_Message_Oanalz(V_H),tc_Message_Omsg))
% 1.94/2.05 | ~ hBOOL(c_in(V_K,c_Message_OsymKeys,tc_nat))
% 1.94/2.05 | ~ hBOOL(c_in(c_Message_Omsg_OCrypt(V_K,V_X),c_Message_Oanalz(V_H),tc_Message_Omsg)) ) ).
% 1.94/2.05
% 1.94/2.05 cnf(cls_event_Osimps_I1_J_0,axiom,
% 1.94/2.05 ( c_Event_Oevent_OSays(V_agent1,V_agent2,V_msg) != c_Event_Oevent_OSays(V_agent1_H,V_agent2_H,V_msg_H)
% 1.94/2.05 | V_agent1 = V_agent1_H ) ).
% 1.94/2.05
% 1.94/2.05 cnf(cls_event_Osimps_I1_J_1,axiom,
% 1.94/2.05 ( c_Event_Oevent_OSays(V_agent1,V_agent2,V_msg) != c_Event_Oevent_OSays(V_agent1_H,V_agent2_H,V_msg_H)
% 1.94/2.05 | V_agent2 = V_agent2_H ) ).
% 1.94/2.05
% 1.94/2.05 cnf(cls_event_Osimps_I1_J_2,axiom,
% 1.94/2.05 ( c_Event_Oevent_OSays(V_agent1,V_agent2,V_msg) != c_Event_Oevent_OSays(V_agent1_H,V_agent2_H,V_msg_H)
% 1.94/2.05 | V_msg = V_msg_H ) ).
% 1.94/2.05
% 1.94/2.05 cnf(cls_parts_OInj_0,axiom,
% 1.94/2.05 ( hBOOL(c_in(V_X,c_Message_Oparts(V_H),tc_Message_Omsg))
% 1.94/2.05 | ~ hBOOL(c_in(V_X,V_H,tc_Message_Omsg)) ) ).
% 1.94/2.05
% 1.94/2.05 cnf(cls_analz_OInj_0,axiom,
% 1.94/2.05 ( hBOOL(c_in(V_X,c_Message_Oanalz(V_H),tc_Message_Omsg))
% 1.94/2.05 | ~ hBOOL(c_in(V_X,V_H,tc_Message_Omsg)) ) ).
% 1.94/2.05
% 1.94/2.05 cnf(cls_Says__imp__parts__knows__Spy_0,axiom,
% 1.94/2.05 ( hBOOL(c_in(V_X,c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,V_evs)),tc_Message_Omsg))
% 1.94/2.05 | ~ hBOOL(c_in(c_Event_Oevent_OSays(V_A,V_B,V_X),c_List_Oset(V_evs,tc_Event_Oevent),tc_Event_Oevent)) ) ).
% 1.94/2.05
% 1.94/2.05 cnf(cls_Says__imp__spies_0,axiom,
% 1.94/2.05 ( hBOOL(c_in(V_X,c_Event_Oknows(c_Message_Oagent_OSpy,V_evs),tc_Message_Omsg))
% 1.94/2.05 | ~ hBOOL(c_in(c_Event_Oevent_OSays(V_A,V_B,V_X),c_List_Oset(V_evs,tc_Event_Oevent),tc_Event_Oevent)) ) ).
% 1.94/2.05
% 1.94/2.05 cnf(cls_usedI_0,axiom,
% 1.94/2.05 ( hBOOL(c_in(V_c,c_Event_Oused(V_evs),tc_Message_Omsg))
% 1.94/2.05 | ~ hBOOL(c_in(V_c,c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,V_evs)),tc_Message_Omsg)) ) ).
% 1.94/2.05
% 1.94/2.05 cnf(cls_NS3__msg__in__parts__spies_0,axiom,
% 1.94/2.05 ( hBOOL(c_in(V_X,c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,V_evs)),tc_Message_Omsg))
% 1.94/2.05 | ~ hBOOL(c_in(c_Event_Oevent_OSays(V_S,V_A,c_Message_Omsg_OCrypt(V_KA,c_Message_Omsg_OMPair(V_N,c_Message_Omsg_OMPair(V_B,c_Message_Omsg_OMPair(V_K,V_X))))),c_List_Oset(V_evs,tc_Event_Oevent),tc_Event_Oevent)) ) ).
% 1.94/2.05
% 1.94/2.05 cnf(cls_msg_Osimps_I43_J_0,axiom,
% 1.94/2.05 c_Message_Omsg_OCrypt(V_nat_H,V_msg_H) != hAPP(c_Message_Omsg_OKey,V_nat) ).
% 1.94/2.05
% 1.94/2.05 cnf(cls_parts__idem_0,axiom,
% 1.94/2.05 c_Message_Oparts(c_Message_Oparts(V_H)) = c_Message_Oparts(V_H) ).
% 1.94/2.05
% 1.94/2.05 cnf(cls_msg_Osimps_I30_J_0,axiom,
% 1.94/2.05 c_Message_Omsg_ONonce(V_nat) != hAPP(c_Message_Omsg_OKey,V_nat_H) ).
% 1.94/2.05
% 1.94/2.05 cnf(cls_analz__parts_0,axiom,
% 1.94/2.05 c_Message_Oanalz(c_Message_Oparts(V_H)) = c_Message_Oparts(V_H) ).
% 1.94/2.05
% 1.94/2.05 cnf(cls_msg_Osimps_I17_J_0,axiom,
% 1.94/2.05 c_Message_Omsg_OMPair(V_msg1_H,V_msg2_H) != c_Message_Omsg_OAgent(V_agent) ).
% 1.94/2.05
% 1.94/2.05 cnf(cls_A__trusts__NS4__lemma_0,axiom,
% 1.94/2.05 ( hBOOL(c_in(c_Event_Oevent_OSays(V_B,V_A,c_Message_Omsg_OCrypt(V_K,c_Message_Omsg_ONonce(V_NB))),c_List_Oset(V_evs,tc_Event_Oevent),tc_Event_Oevent))
% 1.94/2.05 | ~ hBOOL(c_in(c_Message_Omsg_OCrypt(V_K,c_Message_Omsg_ONonce(V_NB)),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,V_evs)),tc_Message_Omsg))
% 1.94/2.05 | ~ hBOOL(c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,V_A,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,V_A),c_Message_Omsg_OMPair(V_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(V_B),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,V_K),V_X))))),c_List_Oset(V_evs,tc_Event_Oevent),tc_Event_Oevent))
% 1.94/2.05 | hBOOL(c_in(hAPP(c_Message_Omsg_OKey,V_K),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,V_evs)),tc_Message_Omsg))
% 1.94/2.05 | ~ hBOOL(c_in(V_evs,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))) ) ).
% 1.94/2.05
% 1.94/2.05 cnf(cls_Says__Server__message__form_2,axiom,
% 1.94/2.05 ( V_K_H = hAPP(c_Public_OshrK,V_A)
% 1.94/2.05 | ~ hBOOL(c_in(V_evs,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent)))
% 1.94/2.05 | ~ hBOOL(c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,V_A,c_Message_Omsg_OCrypt(V_K_H,c_Message_Omsg_OMPair(V_N,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(V_B),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,V_K),V_X))))),c_List_Oset(V_evs,tc_Event_Oevent),tc_Event_Oevent)) ) ).
% 1.94/2.05
% 1.94/2.05 cnf(cls_msg_Osimps_I11_J_0,axiom,
% 1.94/2.05 c_Message_Omsg_ONonce(V_nat_H) != c_Message_Omsg_OAgent(V_agent) ).
% 1.94/2.05
% 1.94/2.05 cnf(cls_parts_OBody_0,axiom,
% 1.94/2.05 ( hBOOL(c_in(V_X,c_Message_Oparts(V_H),tc_Message_Omsg))
% 1.94/2.05 | ~ hBOOL(c_in(c_Message_Omsg_OCrypt(V_K,V_X),c_Message_Oparts(V_H),tc_Message_Omsg)) ) ).
% 1.94/2.05
% 1.94/2.05 cnf(cls_analz__shrK__Decrypt_0,axiom,
% 1.94/2.05 ( hBOOL(c_in(V_X,c_Message_Oanalz(V_H),tc_Message_Omsg))
% 1.94/2.05 | ~ hBOOL(c_in(hAPP(c_Message_Omsg_OKey,hAPP(c_Public_OshrK,V_A)),c_Message_Oanalz(V_H),tc_Message_Omsg))
% 1.94/2.05 | ~ hBOOL(c_in(c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,V_A),V_X),c_Message_Oanalz(V_H),tc_Message_Omsg)) ) ).
% 1.94/2.05
% 1.94/2.05 cnf(cls_agent_Osimps_I4_J_0,axiom,
% 1.94/2.05 c_Message_Oagent_OServer != c_Message_Oagent_OSpy ).
% 1.94/2.05
% 1.94/2.05 cnf(cls_Says__imp__analz__Spy_0,axiom,
% 1.94/2.05 ( hBOOL(c_in(V_X,c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,V_evs)),tc_Message_Omsg))
% 1.94/2.05 | ~ hBOOL(c_in(c_Event_Oevent_OSays(V_A,V_B,V_X),c_List_Oset(V_evs,tc_Event_Oevent),tc_Event_Oevent)) ) ).
% 1.94/2.05
% 1.94/2.05 cnf(cls_parts__partsD_0,axiom,
% 1.94/2.05 ( hBOOL(c_in(V_X,c_Message_Oparts(V_H),tc_Message_Omsg))
% 1.94/2.05 | ~ hBOOL(c_in(V_X,c_Message_Oparts(c_Message_Oparts(V_H)),tc_Message_Omsg)) ) ).
% 1.94/2.05
% 1.94/2.05 cnf(cls_unique__session__keys_0,axiom,
% 1.94/2.05 ( V_A = V_A_H
% 1.94/2.05 | ~ hBOOL(c_in(V_evs,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent)))
% 1.94/2.05 | ~ hBOOL(c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,V_A_H,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,V_A_H),c_Message_Omsg_OMPair(V_NA_H,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(V_B_H),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,V_K),V_X_H))))),c_List_Oset(V_evs,tc_Event_Oevent),tc_Event_Oevent))
% 1.94/2.05 | ~ hBOOL(c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,V_A,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,V_A),c_Message_Omsg_OMPair(V_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(V_B),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,V_K),V_X))))),c_List_Oset(V_evs,tc_Event_Oevent),tc_Event_Oevent)) ) ).
% 1.94/2.05
% 1.94/2.05 cnf(cls_unique__session__keys_1,axiom,
% 1.94/2.05 ( V_NA = V_NA_H
% 1.94/2.05 | ~ hBOOL(c_in(V_evs,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent)))
% 1.94/2.05 | ~ hBOOL(c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,V_A_H,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,V_A_H),c_Message_Omsg_OMPair(V_NA_H,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(V_B_H),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,V_K),V_X_H))))),c_List_Oset(V_evs,tc_Event_Oevent),tc_Event_Oevent))
% 1.94/2.05 | ~ hBOOL(c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,V_A,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,V_A),c_Message_Omsg_OMPair(V_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(V_B),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,V_K),V_X))))),c_List_Oset(V_evs,tc_Event_Oevent),tc_Event_Oevent)) ) ).
% 1.94/2.05
% 1.94/2.05 cnf(cls_unique__session__keys_2,axiom,
% 1.94/2.05 ( V_B = V_B_H
% 1.94/2.05 | ~ hBOOL(c_in(V_evs,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent)))
% 1.94/2.05 | ~ hBOOL(c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,V_A_H,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,V_A_H),c_Message_Omsg_OMPair(V_NA_H,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(V_B_H),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,V_K),V_X_H))))),c_List_Oset(V_evs,tc_Event_Oevent),tc_Event_Oevent))
% 1.94/2.05 | ~ hBOOL(c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,V_A,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,V_A),c_Message_Omsg_OMPair(V_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(V_B),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,V_K),V_X))))),c_List_Oset(V_evs,tc_Event_Oevent),tc_Event_Oevent)) ) ).
% 1.94/2.05
% 1.94/2.05 cnf(cls_unique__session__keys_3,axiom,
% 1.94/2.05 ( V_X = V_X_H
% 1.94/2.05 | ~ hBOOL(c_in(V_evs,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent)))
% 1.94/2.05 | ~ hBOOL(c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,V_A_H,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,V_A_H),c_Message_Omsg_OMPair(V_NA_H,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(V_B_H),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,V_K),V_X_H))))),c_List_Oset(V_evs,tc_Event_Oevent),tc_Event_Oevent))
% 1.94/2.05 | ~ hBOOL(c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,V_A,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,V_A),c_Message_Omsg_OMPair(V_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(V_B),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,V_K),V_X))))),c_List_Oset(V_evs,tc_Event_Oevent),tc_Event_Oevent)) ) ).
% 1.94/2.05
% 1.94/2.05 cnf(cls_msg_Osimps_I4_J_0,axiom,
% 1.94/2.05 ( hAPP(c_Message_Omsg_OKey,V_nat) != hAPP(c_Message_Omsg_OKey,V_nat_H)
% 1.94/2.05 | V_nat = V_nat_H ) ).
% 1.94/2.05
% 1.94/2.05 cnf(cls_msg_Osimps_I16_J_0,axiom,
% 1.94/2.05 c_Message_Omsg_OAgent(V_agent) != c_Message_Omsg_OMPair(V_msg1_H,V_msg2_H) ).
% 1.94/2.05
% 1.94/2.05 cnf(cls_Oops__parts__spies_0,axiom,
% 1.94/2.05 ( hBOOL(c_in(V_K,c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,V_evs)),tc_Message_Omsg))
% 1.94/2.05 | ~ hBOOL(c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,V_A,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,V_A),c_Message_Omsg_OMPair(V_NA,c_Message_Omsg_OMPair(V_B,c_Message_Omsg_OMPair(V_K,V_X))))),c_List_Oset(V_evs,tc_Event_Oevent),tc_Event_Oevent)) ) ).
% 1.94/2.05
% 1.94/2.05 cnf(cls_Says__imp__used_0,axiom,
% 1.94/2.05 ( hBOOL(c_in(V_X,c_Event_Oused(V_evs),tc_Message_Omsg))
% 1.94/2.05 | ~ hBOOL(c_in(c_Event_Oevent_OSays(V_A,V_B,V_X),c_List_Oset(V_evs,tc_Event_Oevent),tc_Event_Oevent)) ) ).
% 1.94/2.05
% 1.94/2.05 cnf(cls_msg_Osimps_I18_J_0,axiom,
% 1.94/2.05 c_Message_Omsg_OAgent(V_agent) != c_Message_Omsg_OCrypt(V_nat_H,V_msg_H) ).
% 1.94/2.05
% 1.94/2.05 cnf(cls_msg_Osimps_I34_J_0,axiom,
% 1.94/2.05 c_Message_Omsg_ONonce(V_nat) != c_Message_Omsg_OMPair(V_msg1_H,V_msg2_H) ).
% 1.94/2.05
% 1.94/2.05 cnf(cls_msg_Osimps_I48_J_0,axiom,
% 1.94/2.05 c_Message_Omsg_OMPair(V_msg1,V_msg2) != c_Message_Omsg_OCrypt(V_nat_H,V_msg_H) ).
% 1.94/2.05
% 1.94/2.05 cnf(cls_msg_Osimps_I19_J_0,axiom,
% 1.94/2.05 c_Message_Omsg_OCrypt(V_nat_H,V_msg_H) != c_Message_Omsg_OAgent(V_agent) ).
% 1.94/2.05
% 1.94/2.05 cnf(cls_shrK__in__knows_0,axiom,
% 1.94/2.05 hBOOL(c_in(hAPP(c_Message_Omsg_OKey,hAPP(c_Public_OshrK,V_A)),c_Event_Oknows(V_A,V_evs),tc_Message_Omsg)) ).
% 1.94/2.05
% 1.94/2.05 cnf(cls_msg_Osimps_I13_J_0,axiom,
% 1.94/2.05 hAPP(c_Message_Omsg_OKey,V_nat_H) != c_Message_Omsg_OAgent(V_agent) ).
% 1.94/2.05
% 1.94/2.05 cnf(cls_analz__analzD_0,axiom,
% 1.94/2.05 ( hBOOL(c_in(V_X,c_Message_Oanalz(V_H),tc_Message_Omsg))
% 1.94/2.05 | ~ hBOOL(c_in(V_X,c_Message_Oanalz(c_Message_Oanalz(V_H)),tc_Message_Omsg)) ) ).
% 1.94/2.05
% 1.94/2.05 cnf(cls_msg_Osimps_I3_J_0,axiom,
% 1.94/2.05 ( c_Message_Omsg_ONonce(V_nat) != c_Message_Omsg_ONonce(V_nat_H)
% 1.94/2.05 | V_nat = V_nat_H ) ).
% 1.94/2.05
% 1.94/2.05 cnf(cls_mem__def_1,axiom,
% 1.94/2.05 ( hBOOL(c_in(V_x,V_S,T_a))
% 1.94/2.05 | ~ hBOOL(hAPP(V_S,V_x)) ) ).
% 1.94/2.05
% 1.94/2.05 cnf(cls_mem__def_0,axiom,
% 1.94/2.05 ( hBOOL(hAPP(V_S,V_x))
% 1.94/2.05 | ~ hBOOL(c_in(V_x,V_S,T_a)) ) ).
% 1.94/2.05
% 1.94/2.05 cnf(cls_msg_Osimps_I36_J_0,axiom,
% 1.94/2.05 c_Message_Omsg_ONonce(V_nat) != c_Message_Omsg_OCrypt(V_nat_H,V_msg_H) ).
% 1.94/2.05
% 1.94/2.05 cnf(cls_msg_Osimps_I7_J_0,axiom,
% 1.94/2.05 ( c_Message_Omsg_OCrypt(V_nat,V_msg) != c_Message_Omsg_OCrypt(V_nat_H,V_msg_H)
% 1.94/2.05 | V_nat = V_nat_H ) ).
% 1.94/2.05
% 1.94/2.05 cnf(cls_msg_Osimps_I7_J_1,axiom,
% 1.94/2.05 ( c_Message_Omsg_OCrypt(V_nat,V_msg) != c_Message_Omsg_OCrypt(V_nat_H,V_msg_H)
% 1.94/2.05 | V_msg = V_msg_H ) ).
% 1.94/2.05
% 1.94/2.05 cnf(cls_Says__S__message__form_1,axiom,
% 1.94/2.05 ( hBOOL(c_in(V_X,c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,V_evs)),tc_Message_Omsg))
% 1.94/2.05 | V_X = c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,V_B),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,V_K),c_Message_Omsg_OAgent(V_A)))
% 1.94/2.05 | ~ hBOOL(c_in(V_evs,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent)))
% 1.94/2.05 | ~ hBOOL(c_in(c_Event_Oevent_OSays(V_S,V_A,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,V_A),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(V_NA),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(V_B),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,V_K),V_X))))),c_List_Oset(V_evs,tc_Event_Oevent),tc_Event_Oevent)) ) ).
% 1.94/2.05
% 1.94/2.05 cnf(cls_msg_Osimps_I10_J_0,axiom,
% 1.94/2.05 c_Message_Omsg_OAgent(V_agent) != c_Message_Omsg_ONonce(V_nat_H) ).
% 1.94/2.05
% 1.94/2.05 cnf(cls_msg_Osimps_I6_J_0,axiom,
% 1.94/2.05 ( c_Message_Omsg_OMPair(V_msg1,V_msg2) != c_Message_Omsg_OMPair(V_msg1_H,V_msg2_H)
% 1.94/2.05 | V_msg1 = V_msg1_H ) ).
% 1.94/2.05
% 1.94/2.05 cnf(cls_msg_Osimps_I6_J_1,axiom,
% 1.94/2.05 ( c_Message_Omsg_OMPair(V_msg1,V_msg2) != c_Message_Omsg_OMPair(V_msg1_H,V_msg2_H)
% 1.94/2.05 | V_msg2 = V_msg2_H ) ).
% 1.94/2.05
% 1.94/2.05 cnf(cls_agent_Osimps_I5_J_0,axiom,
% 1.94/2.05 c_Message_Oagent_OSpy != c_Message_Oagent_OServer ).
% 1.94/2.05
% 1.94/2.05 cnf(cls_msg_Osimps_I35_J_0,axiom,
% 1.94/2.05 c_Message_Omsg_OMPair(V_msg1_H,V_msg2_H) != c_Message_Omsg_ONonce(V_nat) ).
% 1.94/2.05
% 1.94/2.05 cnf(cls_msg_Osimps_I49_J_0,axiom,
% 1.94/2.05 c_Message_Omsg_OCrypt(V_nat_H,V_msg_H) != c_Message_Omsg_OMPair(V_msg1,V_msg2) ).
% 1.94/2.05
% 1.94/2.05 cnf(cls_Says__Server__message__form_1,axiom,
% 1.94/2.05 ( V_X = c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,V_B),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,V_K),c_Message_Omsg_OAgent(V_A)))
% 1.94/2.05 | ~ hBOOL(c_in(V_evs,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent)))
% 1.94/2.05 | ~ hBOOL(c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,V_A,c_Message_Omsg_OCrypt(V_K_H,c_Message_Omsg_OMPair(V_N,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(V_B),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,V_K),V_X))))),c_List_Oset(V_evs,tc_Event_Oevent),tc_Event_Oevent)) ) ).
% 1.94/2.05
% 1.94/2.05 cnf(cls_msg_Osimps_I40_J_0,axiom,
% 1.94/2.05 hAPP(c_Message_Omsg_OKey,V_nat) != c_Message_Omsg_OMPair(V_msg1_H,V_msg2_H) ).
% 1.94/2.05
% 1.94/2.05 cnf(cls_shrK__in__used_0,axiom,
% 1.94/2.05 hBOOL(c_in(hAPP(c_Message_Omsg_OKey,hAPP(c_Public_OshrK,V_A)),c_Event_Oused(V_evs),tc_Message_Omsg)) ).
% 1.94/2.05
% 1.94/2.05 cnf(cls_neq__shrK_0,axiom,
% 1.94/2.05 hBOOL(c_in(hAPP(c_Message_Omsg_OKey,hAPP(c_Public_OshrK,V_B)),c_Event_Oused(V_evs),tc_Message_Omsg)) ).
% 1.94/2.05
% 1.94/2.05 cnf(cls_msg_Osimps_I41_J_0,axiom,
% 1.94/2.05 c_Message_Omsg_OMPair(V_msg1_H,V_msg2_H) != hAPP(c_Message_Omsg_OKey,V_nat) ).
% 1.94/2.05
% 1.94/2.05 cnf(cls_msg_Osimps_I42_J_0,axiom,
% 1.94/2.05 hAPP(c_Message_Omsg_OKey,V_nat) != c_Message_Omsg_OCrypt(V_nat_H,V_msg_H) ).
% 1.94/2.05
% 1.94/2.05 cnf(cls_shrK__injective_0,axiom,
% 1.94/2.05 ( hAPP(c_Public_OshrK,V_x) != hAPP(c_Public_OshrK,V_y)
% 1.94/2.05 | V_x = V_y ) ).
% 1.94/2.05
% 1.94/2.05 cnf(cls_not__parts__not__analz_0,axiom,
% 1.94/2.05 ( ~ hBOOL(c_in(V_c,c_Message_Oanalz(V_H),tc_Message_Omsg))
% 1.94/2.05 | hBOOL(c_in(V_c,c_Message_Oparts(V_H),tc_Message_Omsg)) ) ).
% 1.94/2.05
% 1.94/2.05 cnf(cls_analz__into__parts_0,axiom,
% 1.94/2.05 ( hBOOL(c_in(V_c,c_Message_Oparts(V_H),tc_Message_Omsg))
% 1.94/2.05 | ~ hBOOL(c_in(V_c,c_Message_Oanalz(V_H),tc_Message_Omsg)) ) ).
% 1.94/2.05
% 1.94/2.05 cnf(cls_analz__conj__parts_0,axiom,
% 1.94/2.05 ( hBOOL(c_in(V_X,c_Message_Oparts(V_H),tc_Message_Omsg))
% 1.94/2.05 | ~ hBOOL(c_in(V_X,c_Message_Oanalz(V_H),tc_Message_Omsg)) ) ).
% 1.94/2.05
% 1.94/2.05 cnf(cls_conjecture_0,negated_conjecture,
% 1.94/2.05 hBOOL(c_in(v_evs2,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))) ).
% 1.94/2.05
% 1.94/2.05 cnf(cls_conjecture_1,negated_conjecture,
% 1.94/2.05 ~ hBOOL(c_in(hAPP(c_Message_Omsg_OKey,v_KAB),c_Event_Oused(v_evs2),tc_Message_Omsg)) ).
% 1.94/2.05
% 1.94/2.05 cnf(cls_conjecture_2,negated_conjecture,
% 1.94/2.05 hBOOL(c_in(v_KAB,c_Message_OsymKeys,tc_nat)) ).
% 1.94/2.05
% 1.94/2.05 cnf(cls_conjecture_3,negated_conjecture,
% 1.94/2.05 hBOOL(c_in(c_Event_Oevent_OSays(v_A_H,c_Message_Oagent_OServer,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Ba),c_Message_Omsg_ONonce(v_NAa)))),c_List_Oset(v_evs2,tc_Event_Oevent),tc_Event_Oevent)) ).
% 1.94/2.05
% 1.94/2.05 cnf(cls_conjecture_4,negated_conjecture,
% 1.94/2.05 ~ hBOOL(c_in(hAPP(c_Message_Omsg_OKey,v_K),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs2)),tc_Message_Omsg)) ).
% 1.94/2.05
% 1.94/2.05 cnf(cls_conjecture_5,negated_conjecture,
% 1.94/2.05 v_A = v_Aa ).
% 1.94/2.05
% 1.94/2.05 cnf(cls_conjecture_6,negated_conjecture,
% 1.94/2.05 v_NA = c_Message_Omsg_ONonce(v_NAa) ).
% 1.94/2.05
% 1.94/2.05 cnf(cls_conjecture_7,negated_conjecture,
% 1.94/2.05 v_B = v_Ba ).
% 1.94/2.05
% 1.94/2.05 cnf(cls_conjecture_8,negated_conjecture,
% 1.94/2.05 v_K = v_KAB ).
% 1.94/2.05
% 1.94/2.05 cnf(cls_conjecture_9,negated_conjecture,
% 1.94/2.05 v_X = c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,v_Ba),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,v_KAB),c_Message_Omsg_OAgent(v_Aa))) ).
% 1.94/2.05
% 1.94/2.05 cnf(cls_conjecture_10,negated_conjecture,
% 1.94/2.05 hBOOL(c_in(c_Message_Omsg_OCrypt(v_KAB,c_Message_Omsg_ONonce(v_NB)),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs2)),tc_Message_Omsg)) ).
% 1.94/2.05
% 1.94/2.05 cnf(cls_conjecture_11,negated_conjecture,
% 1.94/2.05 ~ hBOOL(c_in(c_Event_Oevent_OSays(V_x,v_Ba,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,v_Ba),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,v_KAB),c_Message_Omsg_OAgent(v_Aa)))),c_List_Oset(v_evs2,tc_Event_Oevent),tc_Event_Oevent)) ).
% 1.94/2.05
% 1.94/2.05 cnf(cls_conjecture_12,negated_conjecture,
% 1.94/2.05 ( hBOOL(c_in(c_Event_Oevent_OSays(v_x,v_B,v_X),c_List_Oset(v_evs2,tc_Event_Oevent),tc_Event_Oevent))
% 1.94/2.05 | ~ hBOOL(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_evs2)),tc_Message_Omsg))
% 1.94/2.05 | ~ hBOOL(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_evs2,tc_Event_Oevent),tc_Event_Oevent)) ) ).
% 1.94/2.05
% 1.94/2.05 cnf(clsarity_fun__Complete__Lattice_Ocomplete__lattice,axiom,
% 1.94/2.05 ( class_Complete__Lattice_Ocomplete__lattice(tc_fun(T_2,T_1))
% 1.94/2.05 | ~ class_Complete__Lattice_Ocomplete__lattice(T_1) ) ).
% 1.94/2.05
% 1.94/2.05 cnf(clsarity_fun__Lattices_Oupper__semilattice,axiom,
% 1.94/2.05 ( class_Lattices_Oupper__semilattice(tc_fun(T_2,T_1))
% 1.94/2.05 | ~ class_Lattices_Olattice(T_1) ) ).
% 1.94/2.05
% 1.94/2.05 cnf(clsarity_fun__Lattices_Obounded__lattice,axiom,
% 1.94/2.05 ( class_Lattices_Obounded__lattice(tc_fun(T_2,T_1))
% 1.94/2.05 | ~ class_Lattices_Obounded__lattice(T_1) ) ).
% 1.94/2.05
% 1.94/2.05 cnf(clsarity_fun__Lattices_Oboolean__algebra,axiom,
% 1.94/2.05 ( class_Lattices_Oboolean__algebra(tc_fun(T_2,T_1))
% 1.94/2.05 | ~ class_Lattices_Oboolean__algebra(T_1) ) ).
% 1.94/2.05
% 1.94/2.05 cnf(clsarity_fun__Orderings_Opreorder,axiom,
% 1.94/2.05 ( class_Orderings_Opreorder(tc_fun(T_2,T_1))
% 1.94/2.05 | ~ class_Orderings_Opreorder(T_1) ) ).
% 1.94/2.05
% 1.94/2.05 cnf(clsarity_fun__Lattices_Olattice,axiom,
% 1.94/2.05 ( class_Lattices_Olattice(tc_fun(T_2,T_1))
% 1.94/2.05 | ~ class_Lattices_Olattice(T_1) ) ).
% 1.94/2.05
% 1.94/2.05 cnf(clsarity_fun__Orderings_Oorder,axiom,
% 1.94/2.05 ( class_Orderings_Oorder(tc_fun(T_2,T_1))
% 1.94/2.05 | ~ class_Orderings_Oorder(T_1) ) ).
% 1.94/2.05
% 1.94/2.05 cnf(clsarity_fun__Orderings_Otop,axiom,
% 1.94/2.05 ( class_Orderings_Otop(tc_fun(T_2,T_1))
% 1.94/2.05 | ~ class_Orderings_Otop(T_1) ) ).
% 1.94/2.05
% 1.94/2.05 cnf(clsarity_fun__HOL_Ouminus,axiom,
% 1.94/2.05 ( class_HOL_Ouminus(tc_fun(T_2,T_1))
% 1.94/2.05 | ~ class_HOL_Ouminus(T_1) ) ).
% 1.94/2.05
% 1.94/2.05 cnf(clsarity_fun__HOL_Oord,axiom,
% 1.94/2.05 ( class_HOL_Oord(tc_fun(T_2,T_1))
% 1.94/2.05 | ~ class_HOL_Oord(T_1) ) ).
% 1.94/2.05
% 1.94/2.05 cnf(clsarity_nat__Lattices_Oupper__semilattice,axiom,
% 1.94/2.05 class_Lattices_Oupper__semilattice(tc_nat) ).
% 1.94/2.05
% 1.94/2.05 cnf(clsarity_nat__Orderings_Opreorder,axiom,
% 1.94/2.05 class_Orderings_Opreorder(tc_nat) ).
% 1.94/2.05
% 1.94/2.05 cnf(clsarity_nat__Orderings_Olinorder,axiom,
% 1.94/2.05 class_Orderings_Olinorder(tc_nat) ).
% 1.94/2.05
% 1.94/2.05 cnf(clsarity_nat__Lattices_Olattice,axiom,
% 1.94/2.05 class_Lattices_Olattice(tc_nat) ).
% 1.94/2.05
% 1.94/2.05 cnf(clsarity_nat__Orderings_Oorder,axiom,
% 1.94/2.05 class_Orderings_Oorder(tc_nat) ).
% 1.94/2.05
% 1.94/2.05 cnf(clsarity_nat__HOL_Oord,axiom,
% 1.94/2.05 class_HOL_Oord(tc_nat) ).
% 1.94/2.05
% 1.94/2.05 cnf(clsarity_bool__Complete__Lattice_Ocomplete__lattice,axiom,
% 1.94/2.05 class_Complete__Lattice_Ocomplete__lattice(tc_bool) ).
% 1.94/2.05
% 1.94/2.05 cnf(clsarity_bool__Lattices_Oupper__semilattice,axiom,
% 1.94/2.05 class_Lattices_Oupper__semilattice(tc_bool) ).
% 1.94/2.05
% 1.94/2.05 cnf(clsarity_bool__Lattices_Obounded__lattice,axiom,
% 1.94/2.06 class_Lattices_Obounded__lattice(tc_bool) ).
% 1.94/2.06
% 1.94/2.06 cnf(clsarity_bool__Lattices_Oboolean__algebra,axiom,
% 1.94/2.06 class_Lattices_Oboolean__algebra(tc_bool) ).
% 1.94/2.06
% 1.94/2.06 cnf(clsarity_bool__Orderings_Opreorder,axiom,
% 1.94/2.06 class_Orderings_Opreorder(tc_bool) ).
% 1.94/2.06
% 1.94/2.06 cnf(clsarity_bool__Lattices_Olattice,axiom,
% 1.94/2.06 class_Lattices_Olattice(tc_bool) ).
% 1.94/2.06
% 1.94/2.06 cnf(clsarity_bool__Orderings_Oorder,axiom,
% 1.94/2.06 class_Orderings_Oorder(tc_bool) ).
% 1.94/2.06
% 1.94/2.06 cnf(clsarity_bool__Orderings_Otop,axiom,
% 1.94/2.06 class_Orderings_Otop(tc_bool) ).
% 1.94/2.06
% 1.94/2.06 cnf(clsarity_bool__HOL_Ouminus,axiom,
% 1.94/2.06 class_HOL_Ouminus(tc_bool) ).
% 1.94/2.06
% 1.94/2.06 cnf(clsarity_bool__HOL_Oord,axiom,
% 1.94/2.06 class_HOL_Oord(tc_bool) ).
% 1.94/2.06
% 1.94/2.06 cnf(cls_ATP__Linkup_Oequal__imp__fequal_0,axiom,
% 1.94/2.06 c_fequal(V_x,V_x,T_a) ).
% 1.94/2.06
% 1.94/2.06 cnf(cls_ATP__Linkup_Ofequal__imp__equal_0,axiom,
% 1.94/2.06 ( V_X = V_Y
% 1.94/2.06 | ~ c_fequal(V_X,V_Y,T_a) ) ).
% 1.94/2.06
% 1.94/2.06 %------------------------------------------------------------------------------
% 1.94/2.06 %-------------------------------------------
% 1.94/2.06 % Proof found
% 1.94/2.06 % SZS status Theorem for theBenchmark
% 1.94/2.06 % SZS output start Proof
% 1.94/2.06 %ClaNum:735(EqnAxiom:134)
% 1.94/2.06 %VarNum:3183(SingletonVarNum:1509)
% 1.94/2.06 %MaxLitNum:7
% 1.94/2.06 %MaxfuncDepth:10
% 1.94/2.06 %SharedTerms:122
% 1.94/2.06 %goalClause: 135 136 137 138 189 190 192 235 291 344 348 356 709
% 1.94/2.06 %singleGoalClaCount:12
% 1.94/2.06 [135]E(a1,a2)
% 1.94/2.06 [136]E(a60,a61)
% 1.94/2.06 [137]E(a62,a63)
% 1.94/2.06 [139]P1(a37)
% 1.94/2.06 [140]P1(a57)
% 1.94/2.06 [141]P2(a37)
% 1.94/2.06 [142]P2(a57)
% 1.94/2.06 [143]P3(a37)
% 1.94/2.06 [144]P4(a37)
% 1.94/2.06 [145]P5(a37)
% 1.94/2.06 [146]P6(a37)
% 1.94/2.06 [147]P13(a57)
% 1.94/2.06 [148]P12(a37)
% 1.94/2.06 [149]P12(a57)
% 1.94/2.06 [150]P16(a37)
% 1.94/2.06 [151]P17(a37)
% 1.94/2.06 [152]P17(a57)
% 1.94/2.06 [153]P18(a37)
% 1.94/2.06 [154]P18(a57)
% 1.94/2.06 [304]~E(a31,a30)
% 1.94/2.06 [138]E(f3(a64),a65)
% 1.94/2.06 [188]P19(f48(a30,a10,a56))
% 1.94/2.06 [189]P19(f48(a60,a40,a57))
% 1.94/2.06 [342]~P19(f48(a31,a10,a56))
% 1.94/2.06 [161]P19(f42(f6(a41)))
% 1.94/2.06 [169]E(f48(a66,a43,f54(a41)),f42(a66))
% 1.94/2.06 [192]P19(f48(a69,a43,f54(a41)))
% 1.94/2.06 [193]P19(f48(f6(a41),a43,f54(a41)))
% 1.94/2.06 [291]P19(f48(f17(a59,a31,f36(f33(a1),f36(f33(a62),f3(a64)))),f29(a69,a41),a41))
% 1.94/2.06 [344]~P19(f48(f47(a32,a60),f9(a69),a55))
% 1.94/2.06 [190]E(f35(f47(a44,a62),f36(f47(a32,a60),f33(a1))),a67)
% 1.94/2.06 [235]P19(f48(f35(a60,f3(a68)),f39(f14(a30,a69)),a55))
% 1.94/2.06 [348]~P19(f48(f47(a32,a61),f5(f14(a30,a69)),a55))
% 1.94/2.06 [162]P7(f6(x1621),x1621)
% 1.94/2.06 [181]P11(x1811,f38(x1811),f58(a55,a37))
% 1.94/2.06 [182]P11(x1821,f39(x1821),f58(a55,a37))
% 1.94/2.06 [183]P11(x1831,f5(x1831),f58(a55,a37))
% 1.94/2.06 [184]P11(f5(x1841),f39(x1841),f58(a55,a37))
% 1.94/2.06 [155]E(f4(f4(x1551)),x1551)
% 1.94/2.06 [156]E(f38(f38(x1561)),f38(x1561))
% 1.94/2.06 [157]E(f39(f39(x1571)),f39(x1571))
% 1.94/2.06 [158]E(f39(f5(x1581)),f39(x1581))
% 1.94/2.06 [159]E(f5(f39(x1591)),f39(x1591))
% 1.94/2.06 [160]E(f5(f5(x1601)),f5(x1601))
% 1.94/2.06 [164]E(f25(f6(x1641),x1641),f6(x1641))
% 1.94/2.06 [165]E(f4(f47(a44,x1651)),f47(a44,x1651))
% 1.94/2.06 [185]P11(f9(f6(a41)),f9(x1851),f58(a55,a37))
% 1.94/2.06 [186]E(f8(f39(x1861),f38(x1861),f58(a55,a37)),f39(f38(x1861)))
% 1.94/2.06 [187]E(f8(f5(x1871),f38(x1871),f58(a55,a37)),f5(f38(x1871)))
% 1.94/2.06 [199]P11(f39(f14(a30,x1991)),f9(x1991),f58(a55,a37))
% 1.94/2.06 [202]P19(f48(f47(a44,x2021),a40,a57))
% 1.94/2.06 [287]E(f39(f50(a32,x2871,a57,a55)),f50(a32,x2871,a57,a55))
% 1.94/2.06 [288]E(f5(f50(a32,x2881,a57,a55)),f50(a32,x2881,a57,a55))
% 1.94/2.06 [345]~P19(f48(f3(f51(x3451)),f9(x3451),a55))
% 1.94/2.06 [356]~P19(f48(f17(x3561,a62,f35(f47(a44,a62),f36(f47(a32,a60),f33(a1)))),f29(a69,a41),a41))
% 1.94/2.06 [343]~P19(f48(f3(x3431),f9(f6(a41)),a55))
% 1.94/2.06 [168]P9(x1681,x1681,x1682)
% 1.94/2.06 [166]P7(f25(x1661,x1662),x1662)
% 1.94/2.06 [179]P11(x1791,x1791,f58(x1792,a37))
% 1.94/2.06 [306]~E(f3(x3061),f33(x3062))
% 1.94/2.06 [307]~E(f33(x3071),f47(a32,x3072))
% 1.94/2.06 [308]~E(f3(x3081),f47(a32,x3082))
% 1.94/2.06 [309]~E(f47(a32,x3091),f33(x3092))
% 1.94/2.06 [310]~E(f47(a32,x3101),f3(x3102))
% 1.94/2.06 [167]E(f29(f25(x1671,x1672),x1672),f29(x1671,x1672))
% 1.94/2.06 [173]E(f7(x1731,f6(x1732),x1732),x1731)
% 1.94/2.06 [174]E(f7(f6(x1741),x1742,x1741),x1742)
% 1.94/2.06 [175]E(f26(f6(x1751),x1752,x1751),f6(x1751))
% 1.94/2.06 [180]E(f8(x1801,x1801,f58(x1802,a37)),x1801)
% 1.94/2.06 [191]E(f21(f21(x1911,f58(x1912,a37)),f58(x1912,a37)),x1911)
% 1.94/2.06 [196]P11(x1961,f45(f58(x1962,a37)),f58(x1962,a37))
% 1.94/2.06 [198]P19(f48(f33(x1981),f38(x1982),a55))
% 1.94/2.06 [200]P11(f14(x2001,f6(a41)),f14(x2001,x2002),f58(a55,a37))
% 1.94/2.06 [204]E(f8(x2041,f45(f58(x2042,a37)),f58(x2042,a37)),f45(f58(x2042,a37)))
% 1.94/2.06 [205]E(f8(f45(f58(x2051,a37)),x2052,f58(x2051,a37)),f45(f58(x2051,a37)))
% 1.94/2.06 [209]E(f8(x2091,f21(x2091,f58(x2092,a37)),f58(x2092,a37)),f45(f58(x2092,a37)))
% 1.94/2.06 [210]E(f8(f21(x2101,f58(x2102,a37)),x2101,f58(x2102,a37)),f45(f58(x2102,a37)))
% 1.94/2.06 [217]P19(f48(f6(x2171),f27(x2172,x2171),f54(x2171)))
% 1.94/2.06 [234]P19(f48(f47(a32,f47(a44,x2341)),f9(x2342),a55))
% 1.94/2.06 [236]P19(f48(f47(a32,f47(a44,x2361)),f14(x2361,x2362),a55))
% 1.94/2.06 [261]P11(f49(x2611,f38(x2612),a55),f38(f49(x2611,x2612,a55)),f58(a55,a37))
% 1.94/2.06 [262]P11(f49(x2621,f39(x2622),a55),f39(f49(x2621,x2622,a55)),f58(a55,a37))
% 1.94/2.06 [263]P11(f49(x2631,f5(x2632),a55),f5(f49(x2631,x2632,a55)),f58(a55,a37))
% 1.94/2.06 [352]~P19(f48(f3(x3521),f50(a32,x3522,a57,a55),a55))
% 1.94/2.06 [194]E(f34(f49(f33(x1941),x1942,a55)),f34(x1942))
% 1.94/2.06 [195]E(f34(f49(f3(x1951),x1952,a55)),f34(x1952))
% 1.94/2.06 [201]P19(f47(f45(f58(x2011,a37)),x2012))
% 1.94/2.06 [206]E(f34(f49(f47(a32,x2061),x2062,a55)),f34(x2062))
% 1.94/2.06 [213]E(f39(f49(f33(x2131),x2132,a55)),f49(f33(x2131),f39(x2132),a55))
% 1.94/2.06 [214]E(f39(f49(f3(x2141),x2142,a55)),f49(f3(x2141),f39(x2142),a55))
% 1.94/2.06 [215]E(f5(f49(f33(x2151),x2152,a55)),f49(f33(x2151),f5(x2152),a55))
% 1.94/2.06 [216]E(f5(f49(f3(x2161),x2162,a55)),f49(f3(x2161),f5(x2162),a55))
% 1.94/2.06 [219]P19(f48(x2191,f45(f58(x2192,a37)),x2192))
% 1.94/2.06 [225]E(f39(f49(f47(a32,x2251),x2252,a55)),f49(f47(a32,x2251),f39(x2252),a55))
% 1.94/2.06 [226]E(f8(f39(x2261),f39(x2262),f58(a55,a37)),f39(f8(x2261,x2262,f58(a55,a37))))
% 1.94/2.06 [239]E(f5(f8(f5(x2391),x2392,f58(a55,a37))),f5(f8(x2391,x2392,f58(a55,a37))))
% 1.94/2.06 [281]E(f8(f5(f8(x2811,x2812,f58(a55,a37))),f38(x2811),f58(a55,a37)),f5(f8(f38(x2811),x2812,f58(a55,a37))))
% 1.94/2.06 [282]P11(f39(f8(x2821,x2822,f58(a55,a37))),f8(f39(x2821),f39(x2822),f58(a55,a37)),f58(a55,a37))
% 1.94/2.06 [283]P11(f8(f38(x2831),f38(x2832),f58(a55,a37)),f38(f8(x2831,x2832,f58(a55,a37))),f58(a55,a37))
% 1.94/2.06 [284]P11(f8(f39(x2841),f39(x2842),f58(a55,a37)),f39(f8(x2841,x2842,f58(a55,a37))),f58(a55,a37))
% 1.94/2.06 [285]P11(f8(f5(x2851),f5(x2852),f58(a55,a37)),f5(f8(x2851,x2852,f58(a55,a37))),f58(a55,a37))
% 1.94/2.06 [286]P19(f48(f47(a32,f4(f47(f46(x2861),x2862))),f14(x2862,f6(a41)),a55))
% 1.94/2.06 [346]~P19(f48(f47(f46(x3461),x3462),a40,a57))
% 1.94/2.06 [347]~P19(f48(f35(x3471,x3472),f9(f6(a41)),a55))
% 1.94/2.06 [349]~P19(f48(f3(x3491),f39(f14(x3492,f6(a41))),a55))
% 1.94/2.06 [350]~P19(f48(f4(f47(f46(x3501),x3502)),a40,a57))
% 1.94/2.06 [212]P11(x2121,f49(x2122,x2121,x2123),f58(x2123,a37))
% 1.94/2.06 [311]~E(f33(x3111),f36(x3112,x3113))
% 1.94/2.06 [312]~E(f33(x3121),f35(x3122,x3123))
% 1.94/2.06 [313]~E(f3(x3131),f36(x3132,x3133))
% 1.94/2.06 [314]~E(f3(x3141),f35(x3142,x3143))
% 1.94/2.06 [315]~E(f36(x3151,x3152),f33(x3153))
% 1.94/2.06 [316]~E(f36(x3161,x3162),f3(x3163))
% 1.94/2.06 [317]~E(f35(x3171,x3172),f33(x3173))
% 1.94/2.06 [318]~E(f35(x3181,x3182),f3(x3183))
% 1.94/2.06 [319]~E(f36(x3191,x3192),f47(a32,x3193))
% 1.94/2.06 [320]~E(f35(x3201,x3202),f47(a32,x3203))
% 1.94/2.06 [321]~E(f47(a32,x3211),f36(x3212,x3213))
% 1.94/2.06 [322]~E(f47(a32,x3221),f35(x3222,x3223))
% 1.94/2.06 [332]~E(f23(x3321,x3322,x3323),x3322)
% 1.94/2.06 [335]~E(f23(x3351,x3352,x3353),f6(x3353))
% 1.94/2.06 [203]E(f8(x2031,x2032,f58(x2033,a37)),f8(x2032,x2031,f58(x2033,a37)))
% 1.94/2.06 [218]E(f49(x2181,f29(x2182,x2183),x2183),f29(f23(x2181,x2182,x2183),x2183))
% 1.94/2.06 [220]E(f49(x2201,f49(x2201,x2202,x2203),x2203),f49(x2201,x2202,x2203))
% 1.94/2.06 [223]P11(x2231,f8(x2232,x2231,f58(x2233,a37)),f58(x2233,a37))
% 1.94/2.06 [224]P11(x2241,f8(x2241,x2242,f58(x2243,a37)),f58(x2243,a37))
% 1.94/2.06 [227]P19(f47(f49(x2271,x2272,x2273),x2271))
% 1.94/2.06 [229]E(f8(f29(x2291,x2292),f29(x2293,x2292),f58(x2292,a37)),f29(f7(x2291,x2293,x2292),x2292))
% 1.94/2.06 [232]E(f28(f6(x2321),x2322,x2323,x2321),f6(x2321))
% 1.94/2.06 [237]E(f8(x2371,f8(x2371,x2372,f58(x2373,a37)),f58(x2373,a37)),f8(x2371,x2372,f58(x2373,a37)))
% 1.94/2.06 [240]P19(f48(f47(a32,f47(f46(x2401),x2402)),f9(x2403),a55))
% 1.94/2.06 [252]P19(f48(x2521,f49(x2521,x2522,x2523),x2523))
% 1.94/2.06 [253]P11(f14(x2531,x2532),f14(x2531,f23(x2533,x2532,a41)),f58(a55,a37))
% 1.94/2.06 [254]P11(f29(x2541,x2542),f29(f23(x2543,x2541,x2542),x2542),f58(x2542,a37))
% 1.94/2.06 [255]P19(f48(f47(a32,f47(f46(x2551),x2552)),f14(a30,x2553),a55))
% 1.94/2.06 [280]P19(f48(f47(a32,f4(f47(f46(x2801),x2802))),f9(x2803),a55))
% 1.94/2.06 [327]~E(f47(a44,x3271),f47(f46(x3272),x3273))
% 1.94/2.06 [328]~E(f47(f46(x3281),x3282),f47(a44,x3283))
% 1.94/2.06 [353]~P19(f48(f35(x3531,x3532),f50(a32,x3533,a57,a55),a55))
% 1.94/2.06 [355]~P19(f48(f47(f46(x3551),x3552),f50(a44,x3553,a56,a57),a57))
% 1.94/2.06 [357]~P19(f48(f4(f47(f46(x3571),x3572)),f50(a44,x3573,a56,a57),a57))
% 1.94/2.06 [207]E(f34(f49(f36(x2071,x2072),x2073,a55)),f34(x2073))
% 1.94/2.06 [208]E(f9(f23(f15(x2081,x2082),x2083,a41)),f9(x2083))
% 1.94/2.06 [211]E(f14(a30,f23(f15(x2111,x2112),x2113,a41)),f14(a30,x2113))
% 1.94/2.06 [228]E(f14(x2281,f23(f16(x2281,x2282),x2283,a41)),f49(x2282,f14(x2281,x2283),a55))
% 1.94/2.06 [256]P19(f48(f47(a32,f47(f46(x2561),x2562)),f14(x2563,f6(a41)),a55))
% 1.94/2.06 [268]P19(f48(f47(a32,f47(f46(x2681),x2682)),f5(f14(a30,x2683)),a55))
% 1.94/2.06 [273]E(f49(f35(x2731,x2732),f39(f49(x2732,x2733,a55)),a55),f39(f49(f35(x2731,x2732),x2733,a55)))
% 1.94/2.06 [296]P11(f5(f49(f35(x2961,x2962),x2963,a55)),f49(f35(x2961,x2962),f5(f49(x2962,x2963,a55)),a55),f58(a55,a37))
% 1.94/2.06 [329]~E(f47(a44,x3291),f4(f47(f46(x3292),x3293)))
% 1.94/2.06 [330]~E(f4(f47(f46(x3301),x3302)),f47(a44,x3303))
% 1.94/2.06 [354]~P19(f48(f47(a44,x3541),f50(f46(x3542),x3543,a56,a57),a57))
% 1.94/2.06 [292]E(f49(f36(x2921,x2922),f39(f49(x2921,f49(x2922,x2923,a55),a55)),a55),f39(f49(f36(x2921,x2922),x2923,a55)))
% 1.94/2.06 [293]E(f49(f36(x2931,x2932),f5(f49(x2931,f49(x2932,x2933,a55),a55)),a55),f5(f49(f36(x2931,x2932),x2933,a55)))
% 1.94/2.06 [351]~P19(f48(f35(x3511,x3512),f39(f14(x3513,f6(a41))),a55))
% 1.94/2.06 [324]~E(f35(x3241,x3242),f36(x3243,x3244))
% 1.94/2.06 [326]~E(f15(x3261,x3262),f16(x3263,x3264))
% 1.94/2.06 [241]E(f49(x2411,f49(x2412,x2413,x2414),x2414),f49(x2412,f49(x2411,x2413,x2414),x2414))
% 1.94/2.06 [247]E(f7(f7(x2471,x2472,x2473),x2474,x2473),f7(x2471,f7(x2472,x2474,x2473),x2473))
% 1.94/2.06 [249]E(f23(x2491,f7(x2492,x2493,x2494),x2494),f7(f23(x2491,x2492,x2494),x2493,x2494))
% 1.94/2.06 [274]E(f8(x2741,f8(x2742,x2743,f58(x2744,a37)),f58(x2744,a37)),f8(x2742,f8(x2741,x2743,f58(x2744,a37)),f58(x2744,a37)))
% 1.94/2.06 [276]E(f8(f8(x2761,x2762,f58(x2763,a37)),x2764,f58(x2763,a37)),f8(x2761,f8(x2762,x2764,f58(x2763,a37)),f58(x2763,a37)))
% 1.94/2.06 [298]P11(f29(f28(x2981,x2982,x2983,x2984),x2984),f49(x2983,f29(x2981,x2984),x2984),f58(x2984,a37))
% 1.94/2.06 [257]E(f49(x2571,f8(x2572,x2573,f58(x2574,a37)),x2574),f8(x2572,f49(x2571,x2573,x2574),f58(x2574,a37)))
% 1.94/2.06 [258]E(f49(x2581,f8(x2582,x2583,f58(x2584,a37)),x2584),f8(f49(x2581,x2582,x2584),x2583,f58(x2584,a37)))
% 1.94/2.06 [264]E(f14(a30,f23(f17(x2641,x2642,x2643),x2644,a41)),f49(x2643,f14(a30,x2644),a55))
% 1.94/2.06 [267]E(f14(x2671,f23(f17(x2671,x2672,x2673),x2674,a41)),f49(x2673,f14(x2671,x2674),a55))
% 1.94/2.06 [336]~E(f47(f46(x3361),x3362),f4(f47(f46(x3363),x3364)))
% 1.94/2.06 [337]~E(f4(f47(f46(x3371),x3372)),f47(f46(x3373),x3374))
% 1.94/2.06 [358]~P19(f48(f4(f47(f46(x3581),x3582)),f50(f46(x3583),x3584,a56,a57),a57))
% 1.94/2.06 [299]P19(f48(f47(x2991,x2992),f50(x2991,f45(f58(x2993,a37)),x2993,x2994),x2994))
% 1.94/2.06 [300]P19(f48(x3001,f29(f7(x3002,f23(x3001,x3003,x3004),x3004),x3004),x3004))
% 1.94/2.06 [338]~E(f16(x3381,x3382),f17(x3383,x3384,x3385))
% 1.94/2.06 [339]~E(f15(x3391,x3392),f17(x3393,x3394,x3395))
% 1.94/2.06 [340]~E(f17(x3401,x3402,x3403),f16(x3404,x3405))
% 1.94/2.06 [341]~E(f17(x3411,x3412,x3413),f15(x3414,x3415))
% 1.94/2.06 [294]E(f50(x2941,f49(x2942,x2943,x2944),x2944,x2945),f49(f47(x2941,x2942),f50(x2941,x2943,x2944,x2945),x2945))
% 1.94/2.06 [295]E(f49(f47(x2951,x2952),f50(x2951,x2953,x2954,x2955),x2955),f50(x2951,f49(x2952,x2953,x2954),x2954,x2955))
% 1.94/2.06 [297]E(f28(f28(x2971,x2972,x2973,x2974),x2972,x2975,x2974),f28(x2971,x2972,x2975,x2974))
% 1.94/2.06 [302]E(f8(f50(x3021,x3022,x3023,x3024),f50(x3021,x3025,x3023,x3024),f58(x3024,a37)),f50(x3021,f8(x3022,x3025,f58(x3023,a37)),x3023,x3024))
% 1.94/2.06 [362]~P13(x3621)+P10(f6(x3621),x3621)
% 1.94/2.06 [431]E(f4(x4311),x4311)+~P19(f48(x4311,a40,a57))
% 1.94/2.06 [485]~P19(f48(x4851,a40,a57))+P19(f48(f4(x4851),a40,a57))
% 1.94/2.06 [487]P19(f48(x4871,a40,a57))+~P19(f48(f4(x4871),a40,a57))
% 1.94/2.06 [403]~P16(x4031)+E(f47(f45(f58(a52,x4031)),a66),f45(x4031))
% 1.94/2.06 [394]~P17(x3942)+P11(x3941,x3941,x3942)
% 1.94/2.06 [395]~P18(x3952)+P11(x3951,x3951,x3952)
% 1.94/2.06 [359]E(x3591,x3592)+~E(f4(x3591),f4(x3592))
% 1.94/2.06 [360]E(x3601,x3602)+~E(f33(x3601),f33(x3602))
% 1.94/2.06 [361]E(x3611,x3612)+~E(f3(x3611),f3(x3612))
% 1.94/2.06 [364]~E(f25(x3641,x3642),f6(x3642))+E(x3641,f6(x3642))
% 1.94/2.06 [365]~P2(x3652)+P1(f58(x3651,x3652))
% 1.94/2.06 [366]~P2(x3662)+P2(f58(x3661,x3662))
% 1.94/2.06 [367]~P3(x3672)+P3(f58(x3671,x3672))
% 1.94/2.06 [368]~P4(x3682)+P4(f58(x3681,x3682))
% 1.94/2.06 [369]~P5(x3692)+P5(f58(x3691,x3692))
% 1.94/2.06 [370]~P6(x3702)+P6(f58(x3701,x3702))
% 1.94/2.06 [371]~P12(x3712)+P12(f58(x3711,x3712))
% 1.94/2.06 [372]~P16(x3722)+P16(f58(x3721,x3722))
% 1.94/2.06 [373]~P17(x3732)+P17(f58(x3731,x3732))
% 1.94/2.06 [374]~P18(x3742)+P18(f58(x3741,x3742))
% 1.94/2.06 [375]~P7(x3751,x3752)+E(f25(x3751,x3752),x3751)
% 1.94/2.06 [376]P7(x3761,x3762)+~E(f25(x3761,x3762),x3761)
% 1.94/2.06 [377]E(x3771,x3772)+~E(f47(a44,x3771),f47(a44,x3772))
% 1.94/2.06 [378]E(x3781,x3782)+~E(f47(a32,x3781),f47(a32,x3782))
% 1.94/2.06 [396]~P1(x3962)+E(f8(x3961,x3961,x3962),x3961)
% 1.94/2.06 [399]~P16(x3992)+P11(x3991,f45(x3992),x3992)
% 1.94/2.06 [448]~P11(x4481,x4482,f58(a55,a37))+P11(f38(x4481),f38(x4482),f58(a55,a37))
% 1.94/2.06 [449]~P11(x4491,x4492,f58(a55,a37))+P11(f39(x4491),f39(x4492),f58(a55,a37))
% 1.94/2.06 [450]~P11(x4501,x4502,f58(a55,a37))+P11(f5(x4501),f5(x4502),f58(a55,a37))
% 1.94/2.06 [451]~P11(x4511,x4512,f58(a55,a37))+P11(f34(x4511),f34(x4512),f58(a57,a37))
% 1.94/2.06 [459]P11(f38(x4591),f38(x4592),f58(a55,a37))+~P11(x4591,f38(x4592),f58(a55,a37))
% 1.94/2.06 [460]P11(f39(x4601),f39(x4602),f58(a55,a37))+~P11(x4601,f39(x4602),f58(a55,a37))
% 1.94/2.06 [461]P11(f5(x4611),f5(x4612),f58(a55,a37))+~P11(x4611,f5(x4612),f58(a55,a37))
% 1.94/2.06 [467]P11(x4671,f38(x4672),f58(a55,a37))+~P11(f38(x4671),f38(x4672),f58(a55,a37))
% 1.94/2.06 [468]P11(x4681,f39(x4682),f58(a55,a37))+~P11(f39(x4681),f39(x4682),f58(a55,a37))
% 1.94/2.06 [469]P11(x4691,f5(x4692),f58(a55,a37))+~P11(f5(x4691),f5(x4692),f58(a55,a37))
% 1.94/2.06 [389]~P4(x3892)+E(f21(f21(x3891,x3892),x3892),x3891)
% 1.94/2.06 [391]~P14(x3912)+E(f21(f21(x3911,x3912),x3912),x3911)
% 1.94/2.06 [401]~P3(x4012)+E(f8(x4011,f45(x4012),x4012),f45(x4012))
% 1.94/2.06 [402]~P3(x4021)+E(f8(f45(x4021),x4022,x4021),f45(x4021))
% 1.94/2.06 [405]~P4(x4052)+E(f8(x4051,f21(x4051,x4052),x4052),f45(x4052))
% 1.94/2.06 [406]~P4(x4062)+E(f8(f21(x4061,x4062),x4061,x4062),f45(x4062))
% 1.94/2.06 [421]~P13(x4212)+P10(f23(x4211,f6(x4212),x4212),x4212)
% 1.94/2.06 [472]~P11(x4721,x4722,f58(a55,a37))+P11(f38(f5(x4721)),f38(f5(x4722)),f58(a55,a37))
% 1.94/2.06 [488]~P19(f48(x4881,x4882,a55))+P19(f48(x4881,f38(x4882),a55))
% 1.94/2.06 [489]~P19(f48(x4891,x4892,a55))+P19(f48(x4891,f39(x4892),a55))
% 1.94/2.06 [490]~P19(f48(x4901,x4902,a55))+P19(f48(x4901,f5(x4902),a55))
% 1.94/2.06 [492]E(f39(f49(x4921,x4922,a55)),f39(x4922))+~P19(f48(x4921,f39(x4922),a55))
% 1.94/2.06 [493]E(f5(f49(x4931,x4932,a55)),f5(x4932))+~P19(f48(x4931,f5(x4932),a55))
% 1.94/2.06 [498]~P19(f48(x4981,f5(x4982),a55))+P19(f48(x4981,f39(x4982),a55))
% 1.94/2.06 [507]~P19(f48(f3(x5071),f38(x5072),a55))+P19(f48(f3(x5071),x5072,a55))
% 1.94/2.06 [547]~P19(f48(f47(a32,x5471),f38(x5472),a55))+P19(f48(f47(a32,x5471),x5472,a55))
% 1.94/2.06 [565]~P19(f48(x5651,a10,a56))+P19(f48(f47(a32,f47(a44,x5651)),f14(a30,x5652),a55))
% 1.94/2.06 [677]P19(f48(x6771,x6772,a57))+~P19(f48(f47(a32,x6771),f50(a32,x6772,a57,a55),a55))
% 1.94/2.06 [678]P19(f48(x6781,x6782,a56))+~P19(f48(f47(a44,x6781),f50(a44,x6782,a56,a57),a57))
% 1.94/2.06 [420]~P5(x4202)+E(f47(f21(x4201,f58(a52,x4202)),a66),f21(f47(x4201,a66),x4202))
% 1.94/2.06 [517]P19(f48(x5171,f38(x5172),a55))+~P19(f48(x5171,f38(f38(x5172)),a55))
% 1.94/2.06 [518]P19(f48(x5181,f39(x5182),a55))+~P19(f48(x5181,f39(f39(x5182)),a55))
% 1.94/2.06 [519]P19(f48(x5191,f5(x5192),a55))+~P19(f48(x5191,f5(f5(x5192)),a55))
% 1.94/2.06 [524]E(f5(f49(f47(a32,x5241),x5242,a55)),f49(f47(a32,x5241),f5(x5242),a55))+P19(f48(x5241,f34(f5(x5242)),a57))
% 1.94/2.06 [561]P19(f48(x5611,f9(x5612),a55))+~P19(f48(x5611,f39(f14(a30,x5612)),a55))
% 1.94/2.06 [564]E(f38(f5(f49(x5641,x5642,a55))),f38(f5(x5642)))+~P19(f48(x5641,f38(f5(x5642)),a55))
% 1.94/2.06 [609]P11(f39(f49(x6091,x6092,a55)),f8(f38(f5(x6092)),f39(x6092),f58(a55,a37)),f58(a55,a37))+~P19(f48(x6091,f38(f5(x6092)),a55))
% 1.94/2.06 [681]P19(f48(f47(a32,x6811),f9(x6812),a55))+~P19(f48(x6811,f50(a44,f45(f58(a56,a37)),a56,a57),a57))
% 1.94/2.06 [404]E(x4041,x4042)+~P9(x4041,x4042,x4043)
% 1.94/2.06 [409]~E(f7(x4093,x4091,x4092),x4093)+E(x4091,f6(x4092))
% 1.94/2.06 [410]~E(f7(x4101,x4103,x4102),x4103)+E(x4101,f6(x4102))
% 1.94/2.06 [413]~E(f7(x4133,x4131,x4132),f6(x4132))+E(x4131,f6(x4132))
% 1.94/2.06 [414]~E(f7(x4141,x4143,x4142),f6(x4142))+E(x4141,f6(x4142))
% 1.94/2.06 [416]~P1(x4163)+E(f8(x4161,x4162,x4163),f8(x4162,x4161,x4163))
% 1.94/2.06 [417]~P2(x4173)+E(f8(x4171,x4172,x4173),f8(x4172,x4171,x4173))
% 1.94/2.06 [426]~P19(f47(x4262,x4261))+P19(f48(x4261,x4262,x4263))
% 1.94/2.06 [427]~P1(x4273)+P11(x4271,f8(x4272,x4271,x4273),x4273)
% 1.94/2.06 [428]~P2(x4283)+P11(x4281,f8(x4282,x4281,x4283),x4283)
% 1.94/2.06 [429]~P1(x4293)+P11(x4291,f8(x4291,x4292,x4293),x4293)
% 1.94/2.06 [430]~P2(x4303)+P11(x4301,f8(x4301,x4302,x4303),x4303)
% 1.94/2.06 [452]P7(x4521,x4522)+~P7(f7(x4523,x4521,x4522),x4522)
% 1.94/2.06 [453]P7(x4531,x4532)+~P7(f7(x4531,x4533,x4532),x4532)
% 1.94/2.06 [454]P7(x4541,x4542)+~P7(f23(x4543,x4541,x4542),x4542)
% 1.94/2.06 [455]P19(f47(x4551,x4552))+~P19(f48(x4552,x4551,x4553))
% 1.94/2.06 [475]E(f49(x4751,x4752,x4753),x4752)+~P19(f48(x4751,x4752,x4753))
% 1.94/2.06 [419]E(x4191,x4192)+~E(f21(x4191,f58(x4193,a37)),f21(x4192,f58(x4193,a37)))
% 1.94/2.06 [445]~P11(x4451,x4452,f58(x4453,a37))+E(f8(x4451,x4452,f58(x4453,a37)),x4452)
% 1.94/2.06 [446]~P11(x4462,x4461,f58(x4463,a37))+E(f8(x4461,x4462,f58(x4463,a37)),x4461)
% 1.94/2.06 [447]P11(x4471,x4472,f58(x4473,a37))+~E(f8(x4471,x4472,f58(x4473,a37)),x4472)
% 1.94/2.06 [470]~P1(x4703)+E(f8(x4701,f8(x4701,x4702,x4703),x4703),f8(x4701,x4702,x4703))
% 1.94/2.06 [471]~P2(x4713)+E(f8(x4711,f8(x4711,x4712,x4713),x4713),f8(x4711,x4712,x4713))
% 1.94/2.06 [473]~E(f5(x4732),f5(x4733))+E(f5(f49(x4731,x4732,a55)),f5(f49(x4731,x4733,a55)))
% 1.94/2.06 [516]~P11(x5163,x5161,f58(x5162,a37))+P11(f21(x5161,f58(x5162,a37)),f21(x5163,f58(x5162,a37)),f58(x5162,a37))
% 1.94/2.06 [520]E(f23(x5201,f25(x5202,x5203),x5203),f25(f23(x5201,x5202,x5203),x5203))+P19(f48(x5201,f29(x5202,x5203),x5203))
% 1.94/2.06 [527]P19(f48(f4(x5271),f34(x5272),a57))+~P19(f48(f35(x5271,x5273),x5272,a55))
% 1.94/2.06 [528]P19(f48(x5281,f39(x5282),a55))+~P19(f48(f36(x5283,x5281),f39(x5282),a55))
% 1.94/2.06 [529]P19(f48(x5291,f39(x5292),a55))+~P19(f48(f36(x5291,x5293),f39(x5292),a55))
% 1.94/2.06 [530]P19(f48(x5301,f39(x5302),a55))+~P19(f48(f35(x5303,x5301),f39(x5302),a55))
% 1.94/2.06 [531]P19(f48(x5311,f5(x5312),a55))+~P19(f48(f36(x5313,x5311),f5(x5312),a55))
% 1.94/2.06 [532]P19(f48(x5321,f5(x5322),a55))+~P19(f48(f36(x5321,x5323),f5(x5322),a55))
% 1.94/2.06 [533]P19(f48(x5331,f9(x5332),a55))+~P19(f48(f36(x5333,x5331),f9(x5332),a55))
% 1.94/2.06 [534]P19(f48(x5341,f9(x5342),a55))+~P19(f48(f36(x5341,x5343),f9(x5342),a55))
% 1.94/2.06 [535]E(f25(f23(x5351,x5352,x5353),x5353),f25(x5352,x5353))+~P19(f48(x5351,f29(x5352,x5353),x5353))
% 1.94/2.06 [536]E(f24(f23(x5361,x5362,x5363),x5363),f24(x5362,x5363))+~P19(f48(x5361,f29(x5362,x5363),x5363))
% 1.94/2.06 [552]P11(x5521,x5522,f58(x5523,a37))+~P11(f21(x5522,f58(x5523,a37)),f21(x5521,f58(x5523,a37)),f58(x5523,a37))
% 1.94/2.06 [559]P19(f48(x5591,f9(x5592),a55))+~P19(f48(f16(x5593,x5591),f29(x5592,a41),a41))
% 1.94/2.06 [560]~P7(f23(x5601,x5602,x5603),x5603)+~P19(f48(x5601,f29(x5602,x5603),x5603))
% 1.94/2.06 [571]P19(f48(x5711,f14(x5712,x5713),a55))+~P19(f48(f16(x5712,x5711),f29(x5713,a41),a41))
% 1.94/2.06 [599]P11(f39(f49(x5991,x5992,a55)),f8(f39(x5993),f39(x5992),f58(a55,a37)),f58(a55,a37))+~P19(f48(x5991,x5993,a55))
% 1.94/2.06 [607]~P19(f48(x6072,a10,a56))+P19(f48(f47(a32,f4(f47(f46(x6071),x6072))),f14(a30,x6073),a55))
% 1.94/2.06 [481]E(x4811,a30)+E(f14(x4811,f23(f15(x4811,x4812),x4813,a41)),f49(x4812,f14(x4811,x4813),a55))
% 1.94/2.06 [484]~P2(x4843)+E(f8(f47(x4841,a66),f47(x4842,a66),x4843),f47(f8(x4841,x4842,f58(a52,x4843)),a66))
% 1.94/2.06 [486]P19(f48(x4861,a10,a56))+E(f14(a30,f23(f16(x4861,x4862),x4863,a41)),f14(a30,x4863))
% 1.94/2.06 [521]P19(f48(x5211,x5212,x5213))+P19(f48(x5211,f21(x5212,f58(x5213,a37)),x5213))
% 1.94/2.06 [545]~P19(f48(x5451,a10,a56))+E(f14(a30,f23(f16(x5451,x5452),x5453,a41)),f49(x5452,f14(a30,x5453),a55))
% 1.94/2.06 [553]E(f5(f49(f35(x5531,x5532),x5533,a55)),f49(f35(x5531,x5532),f5(x5533),a55))+P19(f48(f47(a32,f4(x5531)),f5(x5533),a55))
% 1.94/2.06 [562]P19(f48(x5621,f38(f5(x5622)),a55))+~P19(f48(f36(x5623,x5621),f38(f5(x5622)),a55))
% 1.94/2.06 [563]P19(f48(x5631,f38(f5(x5632)),a55))+~P19(f48(f36(x5631,x5633),f38(f5(x5632)),a55))
% 1.94/2.06 [585]~P19(f48(x5851,x5852,x5853))+~P19(f48(x5851,f21(x5852,f58(x5853,a37)),x5853))
% 1.94/2.06 [610]~P19(f48(x6101,f39(x6103),a55))+P19(f48(x6101,f39(f49(x6102,x6103,a55)),a55))
% 1.94/2.06 [611]~P19(f48(x6111,f5(x6113),a55))+P19(f48(x6111,f5(f49(x6112,x6113,a55)),a55))
% 1.94/2.06 [614]E(f49(f35(x6141,x6142),f5(f49(x6142,x6143,a55)),a55),f5(f49(f35(x6141,x6142),x6143,a55)))+~P19(f48(f47(a32,f4(x6141)),f5(x6143),a55))
% 1.94/2.06 [651]P11(f49(f35(x6511,x6512),f5(f49(x6512,x6513,a55)),a55),f5(f49(f35(x6511,x6512),x6513,a55)),f58(a55,a37))+~P19(f48(f47(a32,f4(x6511)),f5(x6513),a55))
% 1.94/2.06 [655]P11(f5(f49(x6551,x6552,a55)),f8(f38(f5(x6553)),f5(f8(x6553,x6552,f58(a55,a37))),f58(a55,a37)),f58(a55,a37))+~P19(f48(x6551,f38(f5(x6553)),a55))
% 1.94/2.06 [576]P19(f48(x5761,f9(x5762),a55))+~P19(f48(x5761,f39(f14(x5763,f6(a41))),a55))
% 1.94/2.06 [632]~P19(f48(x6321,f5(x6323),a55))+P19(f48(x6321,f5(f8(x6322,x6323,f58(a55,a37))),a55))
% 1.94/2.06 [699]~P19(f48(x6991,x6992,a57))+P19(f48(f47(a32,x6991),f5(f8(f50(a32,x6992,a57,a55),x6993,f58(a55,a37))),a55))
% 1.94/2.06 [379]E(x3791,x3792)+~E(f36(x3793,x3791),f36(x3794,x3792))
% 1.94/2.06 [380]E(x3801,x3802)+~E(f35(x3803,x3801),f35(x3804,x3802))
% 1.94/2.06 [381]E(x3811,x3812)+~E(f16(x3813,x3811),f16(x3814,x3812))
% 1.94/2.06 [382]E(x3821,x3822)+~E(f15(x3823,x3821),f15(x3824,x3822))
% 1.94/2.06 [383]E(x3831,x3832)+~E(f36(x3831,x3833),f36(x3832,x3834))
% 1.94/2.06 [384]E(x3841,x3842)+~E(f35(x3841,x3843),f35(x3842,x3844))
% 1.94/2.06 [385]E(x3851,x3852)+~E(f16(x3851,x3853),f16(x3852,x3854))
% 1.94/2.06 [386]E(x3861,x3862)+~E(f15(x3861,x3863),f15(x3862,x3864))
% 1.94/2.06 [435]E(x4351,x4352)+~E(f7(x4353,x4351,x4354),f7(x4353,x4352,x4354))
% 1.94/2.06 [436]E(x4361,x4362)+~E(f7(x4361,x4363,x4364),f7(x4362,x4363,x4364))
% 1.94/2.06 [494]~P11(x4941,x4943,f58(x4944,a37))+P11(x4941,f49(x4942,x4943,x4944),f58(x4944,a37))
% 1.94/2.06 [522]~P11(f49(x5224,x5221,x5223),x5222,f58(x5223,a37))+P11(x5221,x5222,f58(x5223,a37))
% 1.94/2.06 [538]~E(f28(x5381,x5383,x5384,x5382),f6(x5382))+E(x5381,f6(x5382))
% 1.94/2.06 [539]~P11(f49(x5391,x5394,x5393),x5392,f58(x5393,a37))+P19(f48(x5391,x5392,x5393))
% 1.94/2.06 [546]~P11(x5462,x5464,f58(x5463,a37))+P11(f49(x5461,x5462,x5463),f49(x5461,x5464,x5463),f58(x5463,a37))
% 1.94/2.06 [397]E(x3971,x3972)+~E(f47(f46(x3973),x3971),f47(f46(x3974),x3972))
% 1.94/2.06 [398]E(x3981,x3982)+~E(f47(f46(x3981),x3983),f47(f46(x3982),x3984))
% 1.94/2.06 [491]~P19(f47(x4912,x4914))+P19(f47(f49(x4911,x4912,x4913),x4914))
% 1.94/2.06 [508]~P1(x5084)+E(f8(x5081,f8(x5082,x5083,x5084),x5084),f8(x5082,f8(x5081,x5083,x5084),x5084))
% 1.94/2.06 [509]~P2(x5094)+E(f8(x5091,f8(x5092,x5093,x5094),x5094),f8(x5092,f8(x5091,x5093,x5094),x5094))
% 1.94/2.06 [510]~P1(x5103)+E(f8(f8(x5101,x5102,x5103),x5104,x5103),f8(x5101,f8(x5102,x5104,x5103),x5103))
% 1.94/2.06 [511]~P2(x5113)+E(f8(f8(x5111,x5112,x5113),x5114,x5113),f8(x5111,f8(x5112,x5114,x5113),x5113))
% 1.94/2.06 [523]E(f26(f23(x5231,x5232,x5233),x5234,x5233),f26(x5232,x5234,x5233))+P19(f48(x5231,f29(x5234,x5233),x5233))
% 1.94/2.06 [557]P11(x5571,x5572,f58(x5573,a37))+~P11(f8(x5574,x5571,f58(x5573,a37)),x5572,f58(x5573,a37))
% 1.94/2.06 [558]P11(x5581,x5582,f58(x5583,a37))+~P11(f8(x5581,x5584,f58(x5583,a37)),x5582,f58(x5583,a37))
% 1.94/2.06 [574]~P19(f48(x5741,x5743,x5744))+P19(f48(x5741,f49(x5742,x5743,x5744),x5744))
% 1.94/2.06 [587]E(f23(x5871,f26(x5872,x5873,x5874),x5874),f26(f23(x5871,x5872,x5874),x5873,x5874))+~P19(f48(x5871,f29(x5873,x5874),x5874))
% 1.94/2.06 [608]P19(f48(x6081,f9(x6082),a55))+~P19(f48(f17(x6083,x6084,x6081),f29(x6082,a41),a41))
% 1.94/2.06 [612]P19(f48(x6121,f14(a30,x6122),a55))+~P19(f48(f17(x6123,x6124,x6121),f29(x6122,a41),a41))
% 1.94/2.06 [613]P19(f48(x6131,f14(x6132,x6133),a55))+~P19(f48(f17(x6132,x6134,x6131),f29(x6133,a41),a41))
% 1.94/2.06 [621]~P19(f48(f7(x6214,x6211,x6213),f27(x6212,x6213),f54(x6213)))+P19(f48(x6211,f27(x6212,x6213),f54(x6213)))
% 1.94/2.06 [622]~P19(f48(f7(x6221,x6224,x6223),f27(x6222,x6223),f54(x6223)))+P19(f48(x6221,f27(x6222,x6223),f54(x6223)))
% 1.94/2.06 [525]~P19(f47(x5252,x5254))+P19(f47(f8(x5251,x5252,f58(x5253,a37)),x5254))
% 1.94/2.06 [526]~P19(f47(x5261,x5264))+P19(f47(f8(x5261,x5262,f58(x5263,a37)),x5264))
% 1.94/2.06 [592]~P19(f48(x5921,x5923,x5924))+P19(f48(x5921,f8(x5922,x5923,f58(x5924,a37)),x5924))
% 1.94/2.06 [593]~P19(f48(x5931,x5932,x5934))+P19(f48(x5931,f8(x5932,x5933,f58(x5934,a37)),x5934))
% 1.94/2.06 [623]~P19(f48(f17(x6233,x6234,x6231),f29(x6232,a41),a41))+P19(f48(x6231,f39(f14(a30,x6232)),a55))
% 1.94/2.06 [624]~P19(f48(f17(x6243,x6244,x6241),f29(x6242,a41),a41))+P19(f48(x6241,f5(f14(a30,x6242)),a55))
% 1.94/2.06 [676]E(x6761,x6762)+~P19(f48(f47(f46(x6761),x6763),f50(f46(x6762),x6764,a56,a57),a57))
% 1.94/2.06 [680]P19(f48(x6801,x6802,a56))+~P19(f48(f47(f46(x6803),x6801),f50(f46(x6804),x6802,a56,a57),a57))
% 1.94/2.06 [684]~P8(x6841,f45(f58(x6843,a37)),x6843,x6844)+P11(f50(x6841,f21(x6842,f58(x6843,a37)),x6843,x6844),f21(f50(x6841,x6842,x6843,x6844),f58(x6844,a37)),f58(x6844,a37))
% 1.94/2.06 [687]E(f47(x6871,f11(x6872,x6871,x6873,x6874)),x6872)+~P19(f48(x6872,f50(x6871,f45(f58(x6874,a37)),x6874,x6873),x6873))
% 1.94/2.06 [673]~P19(f48(x6731,f5(f14(a30,x6734)),a55))+P19(f48(x6731,f5(f14(a30,f23(f16(x6732,x6733),x6734,a41))),a55))
% 1.94/2.06 [674]~P19(f48(x6741,f5(f14(a30,x6744)),a55))+P19(f48(x6741,f5(f14(a30,f23(f15(x6742,x6743),x6744,a41))),a55))
% 1.94/2.06 [433]E(x4331,x4332)+~E(f23(x4333,x4331,x4334),f23(x4335,x4332,x4334))
% 1.94/2.06 [437]E(x4371,x4372)+~E(f23(x4371,x4373,x4374),f23(x4372,x4375,x4374))
% 1.94/2.06 [625]P8(x6251,x6252,x6253,x6254)+~P8(x6251,f49(x6255,x6252,x6253),x6253,x6254)
% 1.94/2.06 [646]~P11(x6462,x6465,f58(x6463,a37))+P11(f50(x6461,x6462,x6463,x6464),f50(x6461,x6465,x6463,x6464),f58(x6464,a37))
% 1.94/2.06 [629]P8(x6291,x6292,x6293,x6294)+~P8(x6291,f8(x6295,x6292,f58(x6293,a37)),x6293,x6294)
% 1.94/2.06 [630]P8(x6301,x6302,x6303,x6304)+~P8(x6301,f8(x6302,x6305,f58(x6303,a37)),x6303,x6304)
% 1.94/2.06 [638]~P19(f48(x6382,x6383,x6384))+E(f49(f47(x6381,x6382),f50(x6381,x6383,x6384,x6385),x6385),f50(x6381,x6383,x6384,x6385))
% 1.94/2.06 [659]~P19(f48(x6592,x6593,x6594))+P19(f48(f47(x6591,x6592),f50(x6591,x6593,x6594,x6595),x6595))
% 1.94/2.06 [705]P11(f50(x7053,x7051,x7054,x7055),x7052,f58(x7055,a37))+P19(f48(f12(x7051,x7052,x7053,x7054,x7055),x7051,x7054))
% 1.94/2.06 [706]P11(f50(x7063,x7061,x7064,x7065),x7062,f58(x7065,a37))+P19(f48(f13(x7061,x7062,x7063,x7064,x7065),x7061,x7064))
% 1.94/2.06 [579]E(x5791,x5792)+~E(f7(x5793,f23(x5791,f6(x5794),x5794),x5794),f7(x5795,f23(x5792,f6(x5794),x5794),x5794))
% 1.94/2.06 [580]E(x5801,x5802)+~E(f7(x5801,f23(x5803,f6(x5804),x5804),x5804),f7(x5802,f23(x5805,f6(x5804),x5804),x5804))
% 1.94/2.06 [730]P11(f50(x7301,x7302,x7303,x7304),x7305,f58(x7304,a37))+~P19(f48(f47(x7301,f12(x7302,x7305,x7301,x7303,x7304)),x7305,x7304))
% 1.94/2.06 [731]P11(f50(x7311,x7312,x7313,x7314),x7315,f58(x7314,a37))+~P19(f48(f47(x7311,f13(x7312,x7315,x7311,x7313,x7314)),x7315,x7314))
% 1.94/2.06 [690]~P19(f48(x6901,f5(f14(a30,x6905)),a55))+P19(f48(x6901,f5(f14(a30,f23(f17(x6902,x6903,x6904),x6905,a41))),a55))
% 1.94/2.06 [432]E(x4321,x4322)+~E(f17(x4323,x4324,x4321),f17(x4325,x4326,x4322))
% 1.94/2.06 [434]E(x4341,x4342)+~E(f17(x4343,x4341,x4344),f17(x4345,x4342,x4346))
% 1.94/2.06 [438]E(x4381,x4382)+~E(f17(x4381,x4383,x4384),f17(x4382,x4385,x4386))
% 1.94/2.06 [666]E(x6661,x6662)+E(f28(f28(x6663,x6661,x6664,x6665),x6662,x6666,x6665),f28(f28(x6663,x6662,x6666,x6665),x6661,x6664,x6665))
% 1.94/2.06 [696]~P19(f48(f17(a31,x6963,f35(f47(a44,x6963),f36(x6964,f36(x6965,f36(x6961,x6966))))),f29(x6962,a41),a41))+P19(f48(x6961,f39(f14(a30,x6962)),a55))
% 1.94/2.06 [692]~P19(f48(f17(x6923,x6924,f35(x6925,f36(x6926,f36(x6927,f36(x6928,x6921))))),f29(x6922,a41),a41))+P19(f48(x6921,f39(f14(a30,x6922)),a55))
% 1.94/2.06 [709]~P19(f48(f17(a31,a2,f35(f47(a44,a2),f36(a65,f36(f33(a63),f36(f47(a32,a61),a67))))),f29(a69,a41),a41))+P19(f48(f17(a66,a63,a67),f29(a69,a41),a41))+~P19(f48(f35(a61,f3(a68)),f39(f14(a30,a69)),a55))
% 1.94/2.06 [400]~P13(x4002)+~P10(x4001,x4002)+P10(f25(x4001,x4002),x4002)
% 1.94/2.06 [605]~P19(f48(x6051,a10,a56))+~P19(f48(x6052,a43,f54(a41)))+P19(f48(f47(a32,f47(a44,x6051)),f39(f14(a30,x6052)),a55))
% 1.94/2.06 [606]~P19(f48(x6061,a10,a56))+~P19(f48(x6062,a43,f54(a41)))+P19(f48(f47(a32,f47(a44,x6061)),f5(f14(a30,x6062)),a55))
% 1.94/2.06 [627]P19(f48(x6271,a10,a56))+~P19(f48(x6272,a43,f54(a41)))+~P19(f48(f47(a32,f47(a44,x6271)),f39(f14(a30,x6272)),a55))
% 1.94/2.06 [628]P19(f48(x6281,a10,a56))+~P19(f48(x6282,a43,f54(a41)))+~P19(f48(f47(a32,f47(a44,x6281)),f5(f14(a30,x6282)),a55))
% 1.94/2.06 [685]~P19(f48(x6852,a43,f54(a41)))+P19(f48(x6851,f50(a44,f45(f58(a56,a37)),a56,a57),a57))+P19(f48(f47(a32,x6851),f5(f49(f47(a32,x6851),f14(a30,x6852),a55)),a55))
% 1.94/2.06 [418]P11(x4182,x4181,x4183)+~P13(x4183)+P11(x4181,x4182,x4183)
% 1.94/2.06 [392]~P4(x3923)+E(x3921,x3922)+~E(f21(x3921,x3923),f21(x3922,x3923))
% 1.94/2.06 [393]~P14(x3933)+E(x3931,x3932)+~E(f21(x3931,x3933),f21(x3932,x3933))
% 1.94/2.06 [423]~P1(x4233)+~P11(x4231,x4232,x4233)+E(f8(x4231,x4232,x4233),x4232)
% 1.94/2.06 [424]~P1(x4243)+~P11(x4242,x4241,x4243)+E(f8(x4241,x4242,x4243),x4241)
% 1.94/2.06 [425]~P1(x4253)+P11(x4251,x4252,x4253)+~E(f8(x4251,x4252,x4253),x4252)
% 1.94/2.06 [442]~P15(x4422)+~P11(x4423,x4421,x4422)+P11(f21(x4421,x4422),f21(x4423,x4422),x4422)
% 1.94/2.06 [456]~P13(x4562)+P10(x4561,x4562)+~P10(f7(x4563,x4561,x4562),x4562)
% 1.94/2.06 [457]~P13(x4572)+P10(x4571,x4572)+~P10(f7(x4571,x4573,x4572),x4572)
% 1.94/2.06 [458]~P13(x4582)+P10(x4581,x4582)+~P10(f23(x4583,x4581,x4582),x4582)
% 1.94/2.06 [463]~P15(x4633)+~P11(x4632,f21(x4631,x4633),x4633)+P11(x4631,f21(x4632,x4633),x4633)
% 1.94/2.06 [464]~P6(x4643)+~P11(x4641,f47(x4642,x4641),x4643)+P11(x4641,f22(x4642,x4643),x4643)
% 1.94/2.06 [466]~P15(x4662)+~P11(f21(x4663,x4662),x4661,x4662)+P11(f21(x4661,x4662),x4663,x4662)
% 1.94/2.06 [474]~P15(x4743)+P11(x4741,x4742,x4743)+~P11(f21(x4742,x4743),f21(x4741,x4743),x4743)
% 1.94/2.06 [480]E(x4801,x4802)+~P11(x4801,x4802,f58(x4803,a37))+~P11(x4802,x4801,f58(x4803,a37))
% 1.94/2.06 [495]~P7(x4952,x4953)+P7(f23(x4951,x4952,x4953),x4953)+P19(f48(x4951,f29(x4952,x4953),x4953))
% 1.94/2.06 [551]~P11(x5513,x5512,f58(a55,a37))+E(f5(f49(x5511,x5512,a55)),f5(x5512))+~P19(f48(x5511,f5(x5513),a55))
% 1.94/2.06 [554]~P11(x5543,f38(x5542),f58(a55,a37))+P19(f48(x5541,f38(x5542),a55))+~P19(f48(x5541,f38(x5543),a55))
% 1.94/2.06 [555]~P11(x5553,f39(x5552),f58(a55,a37))+P19(f48(x5551,f39(x5552),a55))+~P19(f48(x5551,f39(x5553),a55))
% 1.94/2.06 [556]~P11(x5563,f5(x5562),f58(a55,a37))+P19(f48(x5561,f5(x5562),a55))+~P19(f48(x5561,f5(x5563),a55))
% 1.94/2.06 [572]E(x5721,a30)+P19(f48(x5722,f14(x5721,x5723),a55))+~P19(f48(f15(x5721,x5722),f29(x5723,a41),a41))
% 1.94/2.06 [578]~P19(f48(x5781,a40,a57))+P19(f48(x5781,f34(x5782),a57))+~P19(f48(f35(x5781,x5783),x5782,a55))
% 1.94/2.06 [581]P19(f48(f36(x5811,x5812),f38(x5813),a55))+~P19(f48(x5812,f38(x5813),a55))+~P19(f48(x5811,f38(x5813),a55))
% 1.94/2.06 [582]P19(f48(x5821,f38(x5822),a55))+P19(f48(f36(x5823,x5821),x5822,a55))+~P19(f48(f36(x5823,x5821),f38(x5822),a55))
% 1.94/2.06 [583]P19(f48(x5831,f38(x5832),a55))+P19(f48(f36(x5831,x5833),x5832,a55))+~P19(f48(f36(x5831,x5833),f38(x5832),a55))
% 1.94/2.06 [584]P19(f48(x5841,f38(x5842),a55))+P19(f48(f35(x5843,x5841),x5842,a55))+~P19(f48(f35(x5843,x5841),f38(x5842),a55))
% 1.94/2.06 [589]~P19(f48(f35(x5891,x5892),f38(x5893),a55))+P19(f48(f35(x5891,x5892),x5893,a55))+P19(f48(f47(a32,x5891),x5893,a55))
% 1.94/2.06 [595]P19(f48(f35(x5951,x5952),f38(x5953),a55))+~P19(f48(x5952,f38(x5953),a55))+~P19(f48(f47(a32,x5951),x5953,a55))
% 1.94/2.06 [600]~P19(f48(x6003,a10,a56))+~P19(f48(f16(x6003,x6001),f29(x6002,a41),a41))+P19(f48(x6001,f14(a30,x6002),a55))
% 1.94/2.06 [604]P19(f48(x6041,f5(x6042),a55))+~P19(f48(f35(x6043,x6041),f5(x6042),a55))+~P19(f48(f47(a32,f4(x6043)),f5(x6042),a55))
% 1.94/2.06 [635]P19(f48(x6351,f5(x6352),a55))+~P19(f48(f35(f47(a44,x6353),x6351),f5(x6352),a55))+~P19(f48(f47(a32,f47(a44,x6353)),f5(x6352),a55))
% 1.94/2.06 [633]~P19(f48(x6333,a10,a56))+P19(f48(x6331,f5(f14(a30,x6332)),a55))+~P19(f48(f35(f47(a44,x6333),x6331),f5(f14(a30,x6332)),a55))
% 1.94/2.06 [642]P19(f48(x6421,f38(x6422),a55))+~P19(f48(x6423,f38(x6422),a55))+~P19(f48(x6421,f38(f49(x6423,x6422,a55)),a55))
% 1.94/2.06 [643]P19(f48(x6431,f5(x6432),a55))+~P19(f48(x6433,f5(x6432),a55))+~P19(f48(x6431,f5(f49(x6433,x6432,a55)),a55))
% 1.94/2.06 [667]P19(f48(x6671,f8(f38(f5(x6672)),f39(x6672),f58(a55,a37)),a55))+~P19(f48(x6673,f38(f5(x6672)),a55))+~P19(f48(x6671,f39(f49(x6673,x6672,a55)),a55))
% 1.94/2.06 [644]~P19(f42(x6443))+P19(f42(f23(f17(a30,x6441,x6442),x6443,a41)))+~P19(f48(x6442,f38(f5(f14(a30,x6443))),a55))
% 1.94/2.06 [660]P19(f48(x6601,f39(x6602),a55))+P19(f48(x6601,f39(x6603),a55))+~P19(f48(x6601,f39(f8(x6602,x6603,f58(a55,a37))),a55))
% 1.94/2.06 [665]~P19(f48(x6653,a43,f54(a41)))+P19(f48(f23(f17(a30,x6651,x6652),x6653,a41),a43,f54(a41)))+~P19(f48(x6652,f38(f5(f14(a30,x6653))),a55))
% 1.94/2.06 [444]~P11(x4443,x4441,f58(x4444,a37))+P19(f47(x4441,x4442))+~P19(f47(x4443,x4442))
% 1.94/2.06 [482]~P1(x4824)+~P11(x4821,x4823,x4824)+P11(x4821,f8(x4822,x4823,x4824),x4824)
% 1.94/2.06 [483]~P1(x4834)+~P11(x4831,x4832,x4834)+P11(x4831,f8(x4832,x4833,x4834),x4834)
% 1.94/2.06 [500]~P1(x5003)+P11(x5001,x5002,x5003)+~P11(f8(x5004,x5001,x5003),x5002,x5003)
% 1.94/2.06 [502]~P1(x5023)+P11(x5021,x5022,x5023)+~P11(f8(x5021,x5024,x5023),x5022,x5023)
% 1.94/2.06 [504]~P11(x5041,x5044,f58(x5043,a37))+~P11(x5044,x5042,f58(x5043,a37))+P11(x5041,x5042,f58(x5043,a37))
% 1.94/2.06 [544]~P11(x5444,x5442,f58(x5443,a37))+P19(f48(x5441,x5442,x5443))+~P19(f48(x5441,x5444,x5443))
% 1.94/2.06 [569]~P11(x5692,f49(x5691,x5694,x5693),f58(x5693,a37))+P11(x5692,x5694,f58(x5693,a37))+P19(f48(x5691,x5692,x5693))
% 1.94/2.06 [570]~P11(x5702,x5704,f58(x5703,a37))+P11(f49(x5701,x5702,x5703),x5704,f58(x5703,a37))+~P19(f48(x5701,x5704,x5703))
% 1.94/2.06 [548]E(x5481,x5482)+P19(f47(x5483,x5481))+~P19(f47(f49(x5482,x5483,x5484),x5481))
% 1.94/2.06 [567]~P11(x5671,x5674,f58(x5673,a37))+~P11(x5672,x5674,f58(x5673,a37))+P11(f8(x5671,x5672,f58(x5673,a37)),x5674,f58(x5673,a37))
% 1.94/2.06 [590]~P13(x5903)+P11(x5901,x5902,x5903)+~P10(f23(x5901,f23(x5902,x5904,x5903),x5903),x5903)
% 1.94/2.06 [597]E(x5971,x5972)+P19(f48(x5971,x5973,x5974))+~P19(f48(x5971,f49(x5972,x5973,x5974),x5974))
% 1.94/2.06 [601]P19(f48(x6011,x6012,x6013))+~P19(f48(x6014,f27(x6012,x6013),f54(x6013)))+~P19(f48(x6011,f29(x6014,x6013),x6013))
% 1.94/2.06 [634]P19(f48(f7(x6341,x6342,x6343),f27(x6344,x6343),f54(x6343)))+~P19(f48(x6342,f27(x6344,x6343),f54(x6343)))+~P19(f48(x6341,f27(x6344,x6343),f54(x6343)))
% 1.94/2.06 [682]P19(f48(f3(x6821),f9(x6822),a55))+~P19(f48(x6822,a43,f54(a41)))+P19(f48(f23(f17(x6823,a31,f36(f33(x6823),f36(f33(x6824),f3(x6821)))),x6822,a41),a43,f54(a41)))
% 1.94/2.06 [505]~E(f5(x5051),f5(x5053))+~E(f5(x5052),f5(x5054))+E(f5(f8(x5051,x5052,f58(a55,a37))),f5(f8(x5053,x5054,f58(a55,a37))))
% 1.94/2.06 [591]P19(f47(x5911,x5912))+P19(f47(x5913,x5912))+~P19(f47(f8(x5911,x5913,f58(x5914,a37)),x5912))
% 1.94/2.06 [594]~P11(x5944,f47(x5942,x5944),f58(x5943,a37))+~P19(f48(x5941,x5944,x5943))+P19(f48(x5941,f22(x5942,f58(x5943,a37)),x5943))
% 1.94/2.06 [631]P19(f48(x6311,x6312,x6313))+P19(f48(x6311,x6314,x6313))+~P19(f48(x6311,f8(x6312,x6314,f58(x6313,a37)),x6313))
% 1.94/2.06 [636]~P11(f5(x6362),f5(x6364),f58(a55,a37))+~P11(f5(x6361),f5(x6363),f58(a55,a37))+P11(f5(f8(x6361,x6362,f58(a55,a37))),f5(f8(x6363,x6364,f58(a55,a37))),f58(a55,a37))
% 1.94/2.06 [641]E(x6411,x6412)+P19(f48(x6411,f29(x6413,x6414),x6414))+~P19(f48(x6411,f29(f23(x6412,x6413,x6414),x6414),x6414))
% 1.94/2.06 [672]~P19(f48(x6724,f39(x6723),a55))+~P19(f48(x6721,f39(f49(x6724,x6722,a55)),a55))+P19(f48(x6721,f39(f8(x6722,x6723,f58(a55,a37))),a55))
% 1.94/2.06 [679]~P19(f42(x6792))+P19(f48(f3(x6791),f9(x6792),a55))+P19(f42(f23(f17(x6793,a31,f36(f33(x6793),f36(f33(x6794),f3(x6791)))),x6792,a41)))
% 1.94/2.06 [478]~P12(x4784)+P11(f47(x4781,x4782),f47(x4783,x4782),x4784)+~P11(x4781,x4783,f58(x4785,x4784))
% 1.94/2.06 [615]P8(x6151,x6152,x6153,x6154)+~P8(x6151,x6155,x6153,x6154)+~P11(x6152,x6155,f58(x6153,a37))
% 1.94/2.06 [577]E(x5771,x5772)+~E(f47(x5773,x5771),f47(x5773,x5772))+~P8(x5773,f45(f58(x5774,a37)),x5774,x5775)
% 1.94/2.06 [598]~P11(x5981,x5984,f58(x5983,a37))+~P11(x5982,x5985,f58(x5983,a37))+P11(f8(x5981,x5982,f58(x5983,a37)),f8(x5984,x5985,f58(x5983,a37)),f58(x5983,a37))
% 1.94/2.06 [649]E(x6491,x6492)+~E(f50(x6493,x6491,x6494,x6495),f50(x6493,x6492,x6494,x6495))+~P8(x6493,f45(f58(x6494,a37)),x6494,x6495)
% 1.94/2.06 [662]E(x6621,x6622)+~E(f50(x6623,x6621,x6624,x6625),f50(x6623,x6622,x6624,x6625))+~P8(x6623,f8(x6621,x6622,f58(x6624,a37)),x6624,x6625)
% 1.94/2.06 [664]~P11(f29(x6641,x6644),x6645,f58(x6644,a37))+P11(f29(f28(x6641,x6642,x6643,x6644),x6644),x6645,f58(x6644,a37))+~P19(f48(x6643,x6645,x6644))
% 1.94/2.06 [683]~P11(f50(x6834,x6831,x6833,x6835),f50(x6834,x6832,x6833,x6835),f58(x6835,a37))+P11(x6831,x6832,f58(x6833,a37))+~P8(x6834,f45(f58(x6833,a37)),x6833,x6835)
% 1.94/2.06 [686]~P8(x6864,f45(f58(x6863,a37)),x6863,x6865)+P19(f48(x6861,x6862,x6863))+~P19(f48(f47(x6864,x6861),f50(x6864,x6862,x6863,x6865),x6865))
% 1.94/2.06 [648]~P11(f50(x6481,x6485,x6486,x6484),x6483,f58(x6484,a37))+~P19(f48(x6482,x6485,x6486))+P19(f48(f47(x6481,x6482),x6483,x6484))
% 1.94/2.06 [689]~P11(f50(x6891,x6895,x6896,x6894),f47(x6893,f50(x6891,x6895,x6896,x6894)),f58(x6894,a37))+~P19(f48(x6892,x6895,x6896))+P19(f48(f47(x6891,x6892),f22(x6893,f58(x6894,a37)),x6894))
% 1.94/2.06 [707]E(x7071,f47(a44,x7072))+~P19(f48(f17(a31,x7072,f35(x7071,f36(x7074,f36(f33(x7075),f36(f47(a32,x7076),x7077))))),f29(x7073,a41),a41))+~P19(f48(x7073,a43,f54(a41)))
% 1.94/2.06 [708]E(x7081,f35(f47(a44,x7082),f36(f47(a32,x7083),f33(x7084))))+~P19(f48(f17(a31,x7084,f35(x7086,f36(x7087,f36(f33(x7082),f36(f47(a32,x7083),x7081))))),f29(x7085,a41),a41))+~P19(f48(x7085,a43,f54(a41)))
% 1.94/2.06 [716]~P19(f48(f17(a31,x7163,f35(x7164,f36(x7165,f36(f33(x7166),f36(f47(a32,x7162),x7167))))),f29(x7161,a41),a41))+~P19(f48(x7161,a43,f54(a41)))+~P19(f48(x7162,f50(a44,f45(f58(a56,a37)),a56,a57),a57))
% 1.94/2.06 [654]P19(f48(f17(f18(x6541,x6542),f19(x6541,x6542),x6541),f29(x6542,a41),a41))+~P19(f48(x6541,f14(a30,x6542),a55))+P19(f48(f16(f18(x6541,x6542),x6541),f29(x6542,a41),a41))+P19(f48(x6541,f14(a30,f6(a41)),a55))
% 1.94/2.06 [640]~P19(f48(x6401,a40,a57))+P19(f48(f47(a32,x6401),f9(x6402),a55))+~P19(f48(x6402,a43,f54(a41)))+~P19(f48(x6401,f34(f39(f14(a30,x6402))),a57))
% 1.94/2.06 [441]~P11(x4412,x4411,x4413)+~P11(x4411,x4412,x4413)+E(x4411,x4412)+~P17(x4413)
% 1.94/2.06 [626]~P19(f48(x6263,a40,a57))+~P19(f48(f35(x6263,x6261),f5(x6262),a55))+P19(f48(x6261,f5(x6262),a55))+~P19(f48(f47(a32,x6263),f5(x6262),a55))
% 1.94/2.06 [639]~P19(f48(f47(a32,f4(x6393)),f5(x6392),a55))+~P19(f48(f47(a32,x6393),f5(x6392),a55))+~P19(f48(f35(x6393,x6391),f38(f5(x6392)),a55))+P19(f48(x6391,f38(f5(x6392)),a55))
% 1.94/2.06 [476]~P17(x4763)+~P11(x4761,x4764,x4763)+P11(x4761,x4762,x4763)+~P11(x4764,x4762,x4763)
% 1.94/2.06 [477]~P18(x4773)+~P11(x4771,x4774,x4773)+P11(x4771,x4772,x4773)+~P11(x4774,x4772,x4773)
% 1.94/2.06 [514]~P1(x5143)+~P11(x5142,x5144,x5143)+~P11(x5141,x5144,x5143)+P11(f8(x5141,x5142,x5143),x5144,x5143)
% 1.94/2.06 [537]E(x5371,x5372)+~E(f49(x5373,x5371,x5374),f49(x5373,x5372,x5374))+P19(f48(x5373,x5371,x5374))+P19(f48(x5373,x5372,x5374))
% 1.94/2.06 [575]~P13(x5753)+P11(x5751,x5752,x5753)+~P10(f23(x5751,x5754,x5753),x5753)+~P19(f48(x5752,f29(x5754,x5753),x5753))
% 1.94/2.06 [596]~P13(x5964)+~P11(x5961,x5962,x5964)+~P10(f23(x5962,x5963,x5964),x5964)+P10(f23(x5961,f23(x5962,x5963,x5964),x5964),x5964)
% 1.94/2.06 [663]~P11(x6633,x6632,f58(a55,a37))+P19(f48(f47(a32,x6631),f5(x6632),a55))+~P19(f48(x6634,f38(f5(x6633)),a55))+~P19(f48(f47(a32,x6631),f5(f49(x6634,x6632,a55)),a55))
% 1.94/2.06 [732]P19(f48(x7321,a10,a56))+P19(f48(f17(a31,x7322,f35(f47(a44,x7322),f36(f72(x7322,x7321,x7323,x7324),f36(f33(x7321),f36(f47(a32,x7323),f35(f47(a44,x7321),f36(f47(a32,x7323),f33(x7322)))))))),f29(x7324,a41),a41))+~P19(f48(x7324,a43,f54(a41)))+~P19(f48(f35(f47(a44,x7321),f36(f47(a32,x7323),f33(x7322))),f39(f14(a30,x7324)),a55))
% 1.94/2.06 [693]P19(f48(f47(a32,f4(x6931)),f39(x6932),a55))+~P19(f48(x6934,f38(f5(x6932)),a55))+~P19(f48(x6931,f34(f39(f49(x6934,x6933,a55))),a57))+P19(f48(x6931,f34(f39(f8(x6933,x6932,f58(a55,a37)))),a57))
% 1.94/2.06 [695]P19(f48(x6954,a10,a56))+E(x6951,f35(f47(a44,x6952),f36(f47(a32,x6953),f33(x6954))))+~P19(f48(x6955,a43,f54(a41)))+~P19(f48(f35(f47(a44,x6954),f36(x6956,f36(f33(x6952),f36(f47(a32,x6953),x6951)))),f39(f14(a30,x6955)),a55))
% 1.94/2.06 [712]P19(f48(x7121,a10,a56))+P19(f48(f17(a31,x7121,f35(f47(a44,x7121),f36(x7122,f36(f33(x7123),f36(f47(a32,x7124),x7125))))),f29(x7126,a41),a41))+~P19(f48(x7126,a43,f54(a41)))+~P19(f48(f35(f47(a44,x7121),f36(x7122,f36(f33(x7123),f36(f47(a32,x7124),x7125)))),f39(f14(a30,x7126)),a55))
% 1.94/2.06 [704]P19(f48(x7041,a10,a56))+~P19(f48(x7042,a43,f54(a41)))+~P19(f48(f35(f47(a44,x7041),f36(x7044,f36(f33(x7045),f36(f47(a32,x7043),x7046)))),f39(f14(a30,x7042)),a55))+~P19(f48(x7043,f50(a44,f45(f58(a56,a37)),a56,a57),a57))
% 1.94/2.06 [724]~P19(f48(f17(x7245,x7246,f35(x7243,f3(x7242))),f29(x7244,a41),a41))+~P19(f48(f17(a31,x7246,f35(f47(a44,x7246),f36(f3(x7241),f36(f33(x7245),f36(f47(a32,x7243),x7247))))),f29(x7244,a41),a41))+~P19(f48(x7244,a43,f54(a41)))+P19(f48(f23(f16(a30,f36(f3(x7241),f36(f3(x7242),f47(a32,x7243)))),x7244,a41),a43,f54(a41)))
% 1.94/2.06 [710]E(x7101,f35(f47(a44,x7102),f36(f47(a32,x7103),f33(x7104))))+~P19(f48(f17(x7106,x7104,f35(f47(a44,x7104),f36(f3(x7107),f36(f33(x7102),f36(f47(a32,x7103),x7101))))),f29(x7105,a41),a41))+~P19(f48(x7105,a43,f54(a41)))+P19(f48(x7101,f5(f14(a30,x7105)),a55))
% 1.94/2.06 [718]~P19(f48(f17(x7184,x7185,f35(f47(a44,x7185),f36(f3(x7186),f36(f33(x7187),f36(f47(a32,x7183),x7181))))),f29(x7182,a41),a41))+~P19(f48(x7182,a43,f54(a41)))+P19(f48(x7181,f5(f14(a30,x7182)),a55))+~P19(f48(x7183,f50(a44,f45(f58(a56,a37)),a56,a57),a57))
% 1.94/2.06 [721]~P19(f42(x7214))+~P19(f48(f17(x7215,x7216,f35(x7213,f3(x7212))),f29(x7214,a41),a41))+~P19(f48(f17(a31,x7216,f35(f47(a44,x7216),f36(f3(x7211),f36(f33(x7215),f36(f47(a32,x7213),x7217))))),f29(x7214,a41),a41))+P19(f42(f23(f16(a30,f36(f3(x7211),f36(f3(x7212),f47(a32,x7213)))),x7214,a41)))
% 1.94/2.06 [726]E(x7261,x7262)+~P19(f48(f17(a31,x7268,f35(f47(a44,x7268),f36(x7269,f36(f33(x72610),f36(f47(a32,x7267),x7262))))),f29(x7263,a41),a41))+~P19(f48(f17(a31,x7264,f35(f47(a44,x7264),f36(x7265,f36(f33(x7266),f36(f47(a32,x7267),x7261))))),f29(x7263,a41),a41))+~P19(f48(x7263,a43,f54(a41)))
% 1.94/2.06 [727]E(x7271,x7272)+~P19(f48(f17(a31,x7278,f35(f47(a44,x7278),f36(x7279,f36(f33(x7272),f36(f47(a32,x7276),x72710))))),f29(x7273,a41),a41))+~P19(f48(f17(a31,x7274,f35(f47(a44,x7274),f36(x7275,f36(f33(x7271),f36(f47(a32,x7276),x7277))))),f29(x7273,a41),a41))+~P19(f48(x7273,a43,f54(a41)))
% 1.94/2.06 [728]E(x7281,x7282)+~P19(f48(f17(a31,x7288,f35(f47(a44,x7288),f36(x7282,f36(f33(x7289),f36(f47(a32,x7286),x72810))))),f29(x7283,a41),a41))+~P19(f48(f17(a31,x7284,f35(f47(a44,x7284),f36(x7281,f36(f33(x7285),f36(f47(a32,x7286),x7287))))),f29(x7283,a41),a41))+~P19(f48(x7283,a43,f54(a41)))
% 1.94/2.06 [729]E(x7291,x7292)+~P19(f48(f17(a31,x7291,f35(f47(a44,x7291),f36(x7298,f36(f33(x7299),f36(f47(a32,x7296),x72910))))),f29(x7293,a41),a41))+~P19(f48(f17(a31,x7292,f35(f47(a44,x7292),f36(x7294,f36(f33(x7295),f36(f47(a32,x7296),x7297))))),f29(x7293,a41),a41))+~P19(f48(x7293,a43,f54(a41)))
% 1.94/2.06 [691]E(x6911,x6912)+~P19(f48(x6913,a43,f54(a41)))+P19(f48(f47(a32,x6911),f5(f14(a30,x6913)),a55))+P19(f48(x6912,f50(a44,f45(f58(a56,a37)),a56,a57),a57))+~P19(f48(f47(a32,x6911),f5(f49(f47(a32,x6912),f14(a30,x6913),a55)),a55))
% 1.94/2.06 [725]~P11(x7252,f21(f50(a44,f45(f58(a56,a37)),a56,a57),f58(a57,a37)),f58(a57,a37))+P19(f48(x7251,x7252,a57))+~P19(f48(x7253,a43,f54(a41)))+P19(f48(f47(a32,x7251),f5(f14(a30,x7253)),a55))+~P19(f48(f47(a32,x7251),f5(f8(f50(a32,x7252,a57,a55),f14(a30,x7253),f58(a55,a37))),a55))
% 1.94/2.06 [616]~P13(x6163)+P11(x6161,x6162,x6163)+~P10(f7(x6164,x6165,x6163),x6163)+~P19(f48(x6162,f29(x6165,x6163),x6163))+~P19(f48(x6161,f29(x6164,x6163),x6163))
% 1.94/2.06 [620]E(x6201,x6202)+~P8(x6203,x6204,x6205,x6206)+~E(f47(x6203,x6201),f47(x6203,x6202))+~P19(f48(x6202,x6204,x6205))+~P19(f48(x6201,x6204,x6205))
% 1.94/2.06 [697]~P19(f48(x6975,a40,a57))+P19(f48(f3(x6971),f9(x6972),a55))+~P19(f48(f17(x6976,x6973,f35(f47(a44,x6973),f36(f47(a32,x6975),f33(x6974)))),f29(x6972,a41),a41))+~P19(f48(x6972,a43,f54(a41)))+P19(f48(f23(f17(x6973,x6974,f35(x6975,f3(x6971))),x6972,a41),a43,f54(a41)))
% 1.94/2.06 [735]~P19(f48(x7351,a40,a57))+P19(f48(f47(a32,x7351),f9(x7352),a55))+~P19(f48(f17(x7356,a31,f36(f33(x7353),f36(f33(x7355),f3(x7354)))),f29(x7352,a41),a41))+~P19(f48(x7352,a43,f54(a41)))+P19(f48(f23(f17(a31,x7353,f35(f47(a44,x7353),f36(f3(x7354),f36(f33(x7355),f36(f47(a32,x7351),f35(f47(a44,x7355),f36(f47(a32,x7351),f33(x7353)))))))),x7352,a41),a43,f54(a41)))
% 1.94/2.06 [694]~P19(f42(x6942))+~P19(f48(x6945,a40,a57))+P19(f48(f3(x6941),f9(x6942),a55))+~P19(f48(f17(x6946,x6943,f35(f47(a44,x6943),f36(f47(a32,x6945),f33(x6944)))),f29(x6942,a41),a41))+P19(f42(f23(f17(x6943,x6944,f35(x6945,f3(x6941))),x6942,a41)))
% 1.94/2.06 [734]~P19(f42(x7342))+~P19(f48(x7341,a40,a57))+P19(f48(f47(a32,x7341),f9(x7342),a55))+~P19(f48(f17(x7346,a31,f36(f33(x7343),f36(f33(x7345),f3(x7344)))),f29(x7342,a41),a41))+P19(f42(f23(f17(a31,x7343,f35(f47(a44,x7343),f36(f3(x7344),f36(f33(x7345),f36(f47(a32,x7341),f35(f47(a44,x7345),f36(f47(a32,x7341),f33(x7343)))))))),x7342,a41)))
% 1.94/2.06 [719]E(x7191,a31)+~P19(f48(f17(x7196,x7191,f35(f47(a44,x7191),f36(f3(x7195),f36(f33(x7192),f36(f47(a32,x7197),x7193))))),f29(x7194,a41),a41))+~P19(f48(f17(x7191,a31,f36(f33(x7191),f36(f33(x7192),f3(x7195)))),f29(x7194,a41),a41))+~P19(f48(x7194,a43,f54(a41)))+P19(f48(f23(f17(x7191,x7192,x7193),x7194,a41),a43,f54(a41)))
% 1.94/2.06 [714]P19(f48(f17(x7143,x7144,f35(x7141,f3(x7145))),f29(x7142,a41),a41))+~P19(f48(f17(a31,x7144,f35(f47(a44,x7144),f36(x7146,f36(f33(x7143),f36(f47(a32,x7141),x7147))))),f29(x7142,a41),a41))+~P19(f48(x7142,a43,f54(a41)))+~P19(f48(f35(x7141,f3(x7145)),f39(f14(a30,x7142)),a55))+P19(f48(f47(a32,x7141),f5(f14(a30,x7142)),a55))
% 1.94/2.06 [717]E(x7171,a31)+~P19(f42(x7174))+~P19(f48(f17(x7176,x7171,f35(f47(a44,x7171),f36(f3(x7175),f36(f33(x7172),f36(f47(a32,x7177),x7173))))),f29(x7174,a41),a41))+~P19(f48(f17(x7171,a31,f36(f33(x7171),f36(f33(x7172),f3(x7175)))),f29(x7174,a41),a41))+P19(f42(f23(f17(x7171,x7172,x7173),x7174,a41)))
% 1.94/2.06 [722]~P19(f48(x7223,a40,a57))+~P19(f48(f17(x7227,x7221,f35(f47(a44,x7221),f36(f3(x7228),f36(f33(x7222),f36(f47(a32,x7223),x7229))))),f29(x7225,a41),a41))+~P19(f48(f17(x7226,x7221,f35(x7223,f3(x7224))),f29(x7225,a41),a41))+~P19(f48(x7225,a43,f54(a41)))+P19(f48(f23(f17(x7221,x7222,f35(x7223,f36(f3(x7224),f3(x7224)))),x7225,a41),a43,f54(a41)))
% 1.94/2.06 [720]~P19(f42(x7205))+~P19(f48(x7203,a40,a57))+~P19(f48(f17(x7207,x7201,f35(f47(a44,x7201),f36(f3(x7208),f36(f33(x7202),f36(f47(a32,x7203),x7209))))),f29(x7205,a41),a41))+~P19(f48(f17(x7206,x7201,f35(x7203,f3(x7204))),f29(x7205,a41),a41))+P19(f42(f23(f17(x7201,x7202,f35(x7203,f36(f3(x7204),f3(x7204)))),x7205,a41)))
% 1.94/2.06 [670]E(x6701,a30)+~P19(f48(x6702,f14(x6701,x6703),a55))+P19(f48(f17(x6701,f20(x6701,x6702,x6703),x6702),f29(x6703,a41),a41))+P19(f48(f15(x6701,x6702),f29(x6703,a41),a41))+P19(f48(f16(x6701,x6702),f29(x6703,a41),a41))+P19(f48(x6702,f14(x6701,f6(a41)),a55))
% 1.94/2.06 [733]P19(f48(x7331,a10,a56))+P19(f48(x7332,a10,a56))+~P19(f48(f17(a31,x7331,f35(f47(a44,x7331),f36(x7333,f36(f33(x7332),f36(f47(a32,x7334),f35(f47(a44,x7332),f36(f47(a32,x7334),f33(x7331)))))))),f29(x7335,a41),a41))+~P19(f48(x7335,a43,f54(a41)))+P19(f48(f16(a30,f36(x7333,f36(f73(x7334,x7333,x7335),f47(a32,x7334)))),f29(x7335,a41),a41))+~P19(f48(f47(a32,x7334),f5(f14(a30,x7335)),a55))
% 1.94/2.06 [723]P19(f48(x7231,a10,a56))+P19(f48(x7232,a10,a56))+~P19(f48(f17(a31,x7231,f35(x7236,f36(x7233,f36(f33(x7232),f36(f47(a32,x7234),x7237))))),f29(x7235,a41),a41))+~P19(f48(x7235,a43,f54(a41)))+P19(f48(f16(a30,f36(x7233,f36(f71(x7234,x7233,x7235),f47(a32,x7234)))),f29(x7235,a41),a41))+~P19(f48(f47(a32,x7234),f5(f14(a30,x7235)),a55))
% 1.94/2.06 [422]~P13(x4223)+~P7(x4222,x4223)+~P7(x4221,x4223)+~P10(x4222,x4223)+~P10(x4221,x4223)+E(x4221,x4222)+~E(f29(x4221,x4223),f29(x4222,x4223))
% 1.94/2.06 [711]P19(f48(x7111,a10,a56))+P19(f48(x7112,a10,a56))+P19(f48(f17(x7112,x7111,f35(x7113,f3(x7114))),f29(x7115,a41),a41))+P19(f48(f16(a30,f36(x7116,f36(f70(x7113,x7116,x7115),f47(a32,x7113)))),f29(x7115,a41),a41))+~P19(f48(x7115,a43,f54(a41)))+~P19(f48(f35(x7113,f3(x7114)),f39(f14(a30,x7115)),a55))+~P19(f48(f35(f47(a44,x7111),f36(x7116,f36(f33(x7112),f36(f47(a32,x7113),x7117)))),f39(f14(a30,x7115)),a55))
% 1.94/2.06 %EqnAxiom
% 1.94/2.06 [1]E(x11,x11)
% 1.94/2.06 [2]E(x22,x21)+~E(x21,x22)
% 1.94/2.06 [3]E(x31,x33)+~E(x31,x32)+~E(x32,x33)
% 1.94/2.06 [4]~E(x41,x42)+E(f3(x41),f3(x42))
% 1.94/2.06 [5]~E(x51,x52)+E(f4(x51),f4(x52))
% 1.94/2.06 [6]~E(x61,x62)+E(f47(x61,x63),f47(x62,x63))
% 1.94/2.06 [7]~E(x71,x72)+E(f47(x73,x71),f47(x73,x72))
% 1.94/2.06 [8]~E(x81,x82)+E(f38(x81),f38(x82))
% 1.94/2.06 [9]~E(x91,x92)+E(f29(x91,x93),f29(x92,x93))
% 1.94/2.06 [10]~E(x101,x102)+E(f29(x103,x101),f29(x103,x102))
% 1.94/2.06 [11]~E(x111,x112)+E(f17(x111,x113,x114),f17(x112,x113,x114))
% 1.94/2.06 [12]~E(x121,x122)+E(f17(x123,x121,x124),f17(x123,x122,x124))
% 1.94/2.06 [13]~E(x131,x132)+E(f17(x133,x134,x131),f17(x133,x134,x132))
% 1.94/2.06 [14]~E(x141,x142)+E(f39(x141),f39(x142))
% 1.94/2.06 [15]~E(x151,x152)+E(f12(x151,x153,x154,x155,x156),f12(x152,x153,x154,x155,x156))
% 1.94/2.06 [16]~E(x161,x162)+E(f12(x163,x161,x164,x165,x166),f12(x163,x162,x164,x165,x166))
% 1.94/2.06 [17]~E(x171,x172)+E(f12(x173,x174,x171,x175,x176),f12(x173,x174,x172,x175,x176))
% 1.94/2.06 [18]~E(x181,x182)+E(f12(x183,x184,x185,x181,x186),f12(x183,x184,x185,x182,x186))
% 1.94/2.06 [19]~E(x191,x192)+E(f12(x193,x194,x195,x196,x191),f12(x193,x194,x195,x196,x192))
% 1.94/2.06 [20]~E(x201,x202)+E(f48(x201,x203,x204),f48(x202,x203,x204))
% 1.94/2.06 [21]~E(x211,x212)+E(f48(x213,x211,x214),f48(x213,x212,x214))
% 1.94/2.06 [22]~E(x221,x222)+E(f48(x223,x224,x221),f48(x223,x224,x222))
% 1.94/2.06 [23]~E(x231,x232)+E(f5(x231),f5(x232))
% 1.94/2.06 [24]~E(x241,x242)+E(f14(x241,x243),f14(x242,x243))
% 1.94/2.06 [25]~E(x251,x252)+E(f14(x253,x251),f14(x253,x252))
% 1.94/2.06 [26]~E(x261,x262)+E(f35(x261,x263),f35(x262,x263))
% 1.94/2.06 [27]~E(x271,x272)+E(f35(x273,x271),f35(x273,x272))
% 1.94/2.06 [28]~E(x281,x282)+E(f36(x281,x283),f36(x282,x283))
% 1.94/2.06 [29]~E(x291,x292)+E(f36(x293,x291),f36(x293,x292))
% 1.94/2.06 [30]~E(x301,x302)+E(f58(x301,x303),f58(x302,x303))
% 1.94/2.06 [31]~E(x311,x312)+E(f58(x313,x311),f58(x313,x312))
% 1.94/2.06 [32]~E(x321,x322)+E(f9(x321),f9(x322))
% 1.94/2.06 [33]~E(x331,x332)+E(f8(x331,x333,x334),f8(x332,x333,x334))
% 1.94/2.06 [34]~E(x341,x342)+E(f8(x343,x341,x344),f8(x343,x342,x344))
% 1.94/2.06 [35]~E(x351,x352)+E(f8(x353,x354,x351),f8(x353,x354,x352))
% 1.94/2.06 [36]~E(x361,x362)+E(f18(x361,x363),f18(x362,x363))
% 1.94/2.06 [37]~E(x371,x372)+E(f18(x373,x371),f18(x373,x372))
% 1.94/2.06 [38]~E(x381,x382)+E(f71(x381,x383,x384),f71(x382,x383,x384))
% 1.94/2.06 [39]~E(x391,x392)+E(f71(x393,x391,x394),f71(x393,x392,x394))
% 1.94/2.06 [40]~E(x401,x402)+E(f71(x403,x404,x401),f71(x403,x404,x402))
% 1.94/2.06 [41]~E(x411,x412)+E(f6(x411),f6(x412))
% 1.94/2.06 [42]~E(x421,x422)+E(f42(x421),f42(x422))
% 1.94/2.06 [43]~E(x431,x432)+E(f27(x431,x433),f27(x432,x433))
% 1.94/2.06 [44]~E(x441,x442)+E(f27(x443,x441),f27(x443,x442))
% 1.94/2.06 [45]~E(x451,x452)+E(f25(x451,x453),f25(x452,x453))
% 1.94/2.06 [46]~E(x461,x462)+E(f25(x463,x461),f25(x463,x462))
% 1.94/2.06 [47]~E(x471,x472)+E(f23(x471,x473,x474),f23(x472,x473,x474))
% 1.94/2.06 [48]~E(x481,x482)+E(f23(x483,x481,x484),f23(x483,x482,x484))
% 1.94/2.06 [49]~E(x491,x492)+E(f23(x493,x494,x491),f23(x493,x494,x492))
% 1.94/2.06 [50]~E(x501,x502)+E(f16(x501,x503),f16(x502,x503))
% 1.94/2.06 [51]~E(x511,x512)+E(f16(x513,x511),f16(x513,x512))
% 1.94/2.06 [52]~E(x521,x522)+E(f33(x521),f33(x522))
% 1.94/2.06 [53]~E(x531,x532)+E(f50(x531,x533,x534,x535),f50(x532,x533,x534,x535))
% 1.94/2.06 [54]~E(x541,x542)+E(f50(x543,x541,x544,x545),f50(x543,x542,x544,x545))
% 1.94/2.06 [55]~E(x551,x552)+E(f50(x553,x554,x551,x555),f50(x553,x554,x552,x555))
% 1.94/2.06 [56]~E(x561,x562)+E(f50(x563,x564,x565,x561),f50(x563,x564,x565,x562))
% 1.94/2.06 [57]~E(x571,x572)+E(f46(x571),f46(x572))
% 1.94/2.06 [58]~E(x581,x582)+E(f49(x581,x583,x584),f49(x582,x583,x584))
% 1.94/2.06 [59]~E(x591,x592)+E(f49(x593,x591,x594),f49(x593,x592,x594))
% 1.94/2.06 [60]~E(x601,x602)+E(f49(x603,x604,x601),f49(x603,x604,x602))
% 1.94/2.06 [61]~E(x611,x612)+E(f54(x611),f54(x612))
% 1.94/2.06 [62]~E(x621,x622)+E(f28(x621,x623,x624,x625),f28(x622,x623,x624,x625))
% 1.94/2.06 [63]~E(x631,x632)+E(f28(x633,x631,x634,x635),f28(x633,x632,x634,x635))
% 1.94/2.06 [64]~E(x641,x642)+E(f28(x643,x644,x641,x645),f28(x643,x644,x642,x645))
% 1.94/2.06 [65]~E(x651,x652)+E(f28(x653,x654,x655,x651),f28(x653,x654,x655,x652))
% 1.94/2.06 [66]~E(x661,x662)+E(f21(x661,x663),f21(x662,x663))
% 1.94/2.06 [67]~E(x671,x672)+E(f21(x673,x671),f21(x673,x672))
% 1.94/2.06 [68]~E(x681,x682)+E(f45(x681),f45(x682))
% 1.94/2.06 [69]~E(x691,x692)+E(f7(x691,x693,x694),f7(x692,x693,x694))
% 1.94/2.06 [70]~E(x701,x702)+E(f7(x703,x701,x704),f7(x703,x702,x704))
% 1.94/2.06 [71]~E(x711,x712)+E(f7(x713,x714,x711),f7(x713,x714,x712))
% 1.94/2.06 [72]~E(x721,x722)+E(f15(x721,x723),f15(x722,x723))
% 1.94/2.06 [73]~E(x731,x732)+E(f15(x733,x731),f15(x733,x732))
% 1.94/2.06 [74]~E(x741,x742)+E(f24(x741,x743),f24(x742,x743))
% 1.94/2.06 [75]~E(x751,x752)+E(f24(x753,x751),f24(x753,x752))
% 1.94/2.06 [76]~E(x761,x762)+E(f34(x761),f34(x762))
% 1.94/2.06 [77]~E(x771,x772)+E(f22(x771,x773),f22(x772,x773))
% 1.94/2.06 [78]~E(x781,x782)+E(f22(x783,x781),f22(x783,x782))
% 1.94/2.06 [79]~E(x791,x792)+E(f26(x791,x793,x794),f26(x792,x793,x794))
% 1.94/2.06 [80]~E(x801,x802)+E(f26(x803,x801,x804),f26(x803,x802,x804))
% 1.94/2.06 [81]~E(x811,x812)+E(f26(x813,x814,x811),f26(x813,x814,x812))
% 1.94/2.06 [82]~E(x821,x822)+E(f13(x821,x823,x824,x825,x826),f13(x822,x823,x824,x825,x826))
% 1.94/2.06 [83]~E(x831,x832)+E(f13(x833,x831,x834,x835,x836),f13(x833,x832,x834,x835,x836))
% 1.94/2.06 [84]~E(x841,x842)+E(f13(x843,x844,x841,x845,x846),f13(x843,x844,x842,x845,x846))
% 1.94/2.06 [85]~E(x851,x852)+E(f13(x853,x854,x855,x851,x856),f13(x853,x854,x855,x852,x856))
% 1.94/2.06 [86]~E(x861,x862)+E(f13(x863,x864,x865,x866,x861),f13(x863,x864,x865,x866,x862))
% 1.94/2.06 [87]~E(x871,x872)+E(f19(x871,x873),f19(x872,x873))
% 1.94/2.06 [88]~E(x881,x882)+E(f19(x883,x881),f19(x883,x882))
% 1.94/2.06 [89]~E(x891,x892)+E(f70(x891,x893,x894),f70(x892,x893,x894))
% 1.94/2.06 [90]~E(x901,x902)+E(f70(x903,x901,x904),f70(x903,x902,x904))
% 1.94/2.06 [91]~E(x911,x912)+E(f70(x913,x914,x911),f70(x913,x914,x912))
% 1.94/2.06 [92]~E(x921,x922)+E(f11(x921,x923,x924,x925),f11(x922,x923,x924,x925))
% 1.94/2.06 [93]~E(x931,x932)+E(f11(x933,x931,x934,x935),f11(x933,x932,x934,x935))
% 1.94/2.06 [94]~E(x941,x942)+E(f11(x943,x944,x941,x945),f11(x943,x944,x942,x945))
% 1.94/2.06 [95]~E(x951,x952)+E(f11(x953,x954,x955,x951),f11(x953,x954,x955,x952))
% 1.94/2.06 [96]~E(x961,x962)+E(f20(x961,x963,x964),f20(x962,x963,x964))
% 1.94/2.06 [97]~E(x971,x972)+E(f20(x973,x971,x974),f20(x973,x972,x974))
% 1.94/2.06 [98]~E(x981,x982)+E(f20(x983,x984,x981),f20(x983,x984,x982))
% 1.94/2.06 [99]~E(x991,x992)+E(f73(x991,x993,x994),f73(x992,x993,x994))
% 1.94/2.06 [100]~E(x1001,x1002)+E(f73(x1003,x1001,x1004),f73(x1003,x1002,x1004))
% 1.94/2.06 [101]~E(x1011,x1012)+E(f73(x1013,x1014,x1011),f73(x1013,x1014,x1012))
% 1.94/2.06 [102]~E(x1021,x1022)+E(f72(x1021,x1023,x1024,x1025),f72(x1022,x1023,x1024,x1025))
% 1.94/2.06 [103]~E(x1031,x1032)+E(f72(x1033,x1031,x1034,x1035),f72(x1033,x1032,x1034,x1035))
% 1.94/2.06 [104]~E(x1041,x1042)+E(f72(x1043,x1044,x1041,x1045),f72(x1043,x1044,x1042,x1045))
% 1.94/2.06 [105]~E(x1051,x1052)+E(f72(x1053,x1054,x1055,x1051),f72(x1053,x1054,x1055,x1052))
% 1.94/2.06 [106]~E(x1061,x1062)+E(f51(x1061),f51(x1062))
% 1.94/2.06 [107]~P1(x1071)+P1(x1072)+~E(x1071,x1072)
% 1.94/2.06 [108]~P19(x1081)+P19(x1082)+~E(x1081,x1082)
% 1.94/2.06 [109]~P2(x1091)+P2(x1092)+~E(x1091,x1092)
% 1.94/2.06 [110]P11(x1102,x1103,x1104)+~E(x1101,x1102)+~P11(x1101,x1103,x1104)
% 1.94/2.06 [111]P11(x1113,x1112,x1114)+~E(x1111,x1112)+~P11(x1113,x1111,x1114)
% 1.94/2.06 [112]P11(x1123,x1124,x1122)+~E(x1121,x1122)+~P11(x1123,x1124,x1121)
% 1.94/2.06 [113]~P3(x1131)+P3(x1132)+~E(x1131,x1132)
% 1.94/2.06 [114]~P4(x1141)+P4(x1142)+~E(x1141,x1142)
% 1.94/2.06 [115]~P5(x1151)+P5(x1152)+~E(x1151,x1152)
% 1.94/2.06 [116]~P6(x1161)+P6(x1162)+~E(x1161,x1162)
% 1.94/2.06 [117]~P13(x1171)+P13(x1172)+~E(x1171,x1172)
% 1.94/2.06 [118]~P12(x1181)+P12(x1182)+~E(x1181,x1182)
% 1.94/2.06 [119]P10(x1192,x1193)+~E(x1191,x1192)+~P10(x1191,x1193)
% 1.94/2.06 [120]P10(x1203,x1202)+~E(x1201,x1202)+~P10(x1203,x1201)
% 1.94/2.06 [121]~P16(x1211)+P16(x1212)+~E(x1211,x1212)
% 1.94/2.06 [122]~P17(x1221)+P17(x1222)+~E(x1221,x1222)
% 1.94/2.06 [123]P7(x1232,x1233)+~E(x1231,x1232)+~P7(x1231,x1233)
% 1.94/2.06 [124]P7(x1243,x1242)+~E(x1241,x1242)+~P7(x1243,x1241)
% 1.94/2.06 [125]~P18(x1251)+P18(x1252)+~E(x1251,x1252)
% 1.94/2.06 [126]P8(x1262,x1263,x1264,x1265)+~E(x1261,x1262)+~P8(x1261,x1263,x1264,x1265)
% 1.94/2.06 [127]P8(x1273,x1272,x1274,x1275)+~E(x1271,x1272)+~P8(x1273,x1271,x1274,x1275)
% 1.94/2.06 [128]P8(x1283,x1284,x1282,x1285)+~E(x1281,x1282)+~P8(x1283,x1284,x1281,x1285)
% 1.94/2.06 [129]P8(x1293,x1294,x1295,x1292)+~E(x1291,x1292)+~P8(x1293,x1294,x1295,x1291)
% 1.94/2.06 [130]P9(x1302,x1303,x1304)+~E(x1301,x1302)+~P9(x1301,x1303,x1304)
% 1.94/2.06 [131]P9(x1313,x1312,x1314)+~E(x1311,x1312)+~P9(x1313,x1311,x1314)
% 1.94/2.06 [132]P9(x1323,x1324,x1322)+~E(x1321,x1322)+~P9(x1323,x1324,x1321)
% 1.94/2.06 [133]~P14(x1331)+P14(x1332)+~E(x1331,x1332)
% 1.94/2.06 [134]~P15(x1341)+P15(x1342)+~E(x1341,x1342)
% 1.94/2.06
% 1.94/2.06 %-------------------------------------------
% 1.94/2.06 cnf(744,plain,
% 1.94/2.06 (~E(f23(x7441,x7442,x7443),x7442)),
% 1.94/2.06 inference(rename_variables,[],[332])).
% 1.94/2.06 cnf(747,plain,
% 1.94/2.06 (~E(f23(x7471,x7472,x7473),x7472)),
% 1.94/2.06 inference(rename_variables,[],[332])).
% 1.94/2.06 cnf(750,plain,
% 1.94/2.06 (~P19(f48(f3(x7501),f39(f14(x7502,f6(a41))),a55))),
% 1.94/2.06 inference(rename_variables,[],[349])).
% 1.94/2.06 cnf(753,plain,
% 1.94/2.06 (~P19(f48(f3(x7531),f39(f14(x7532,f6(a41))),a55))),
% 1.94/2.06 inference(rename_variables,[],[349])).
% 1.94/2.06 cnf(757,plain,
% 1.94/2.06 (~P19(f48(f17(x7571,x7572,f3(x7573)),f29(f6(a41),a41),a41))),
% 1.94/2.06 inference(scs_inference,[],[135,304,189,348,332,744,327,349,750,753,2,404,6,431,410,409,696,692,624,623])).
% 1.94/2.06 cnf(758,plain,
% 1.94/2.06 (~P19(f48(f3(x7581),f39(f14(x7582,f6(a41))),a55))),
% 1.94/2.06 inference(rename_variables,[],[349])).
% 1.94/2.06 cnf(766,plain,
% 1.94/2.06 (P19(f48(x7661,f9(f7(x7662,f23(f16(x7663,x7661),x7664,a41),a41)),a55))),
% 1.94/2.06 inference(scs_inference,[],[135,304,189,348,235,291,332,744,327,300,349,750,753,2,404,6,431,410,409,696,692,624,623,608,599,561,559])).
% 1.94/2.06 cnf(767,plain,
% 1.94/2.06 (P19(f48(x7671,f29(f7(x7672,f23(x7671,x7673,x7674),x7674),x7674),x7674))),
% 1.94/2.06 inference(rename_variables,[],[300])).
% 1.94/2.06 cnf(770,plain,
% 1.94/2.06 (P11(x7701,f5(x7701),f58(a55,a37))),
% 1.94/2.06 inference(rename_variables,[],[183])).
% 1.94/2.06 cnf(773,plain,
% 1.94/2.06 (P11(x7731,f5(x7731),f58(a55,a37))),
% 1.94/2.06 inference(rename_variables,[],[183])).
% 1.94/2.06 cnf(776,plain,
% 1.94/2.06 (~E(f23(x7761,x7762,x7763),x7762)),
% 1.94/2.06 inference(rename_variables,[],[332])).
% 1.94/2.06 cnf(782,plain,
% 1.94/2.06 (~P19(f48(f36(f47(a32,a61),x7821),f5(f14(a30,a69)),a55))),
% 1.94/2.06 inference(scs_inference,[],[135,304,189,344,348,235,291,332,744,747,183,770,327,300,349,750,753,2,404,6,431,410,409,696,692,624,623,608,599,561,559,558,557,538,534,533,532])).
% 1.94/2.06 cnf(784,plain,
% 1.94/2.06 (~P19(f48(f36(x7841,f47(a32,a61)),f5(f14(a30,a69)),a55))),
% 1.94/2.06 inference(scs_inference,[],[135,304,189,344,348,235,291,332,744,747,183,770,327,300,349,750,753,2,404,6,431,410,409,696,692,624,623,608,599,561,559,558,557,538,534,533,532,531])).
% 1.94/2.06 cnf(791,plain,
% 1.94/2.06 (P11(x7911,f5(x7911),f58(a55,a37))),
% 1.94/2.06 inference(rename_variables,[],[183])).
% 1.94/2.06 cnf(799,plain,
% 1.94/2.06 (~P19(f48(f47(a32,a61),f14(a30,a69),a55))),
% 1.94/2.06 inference(scs_inference,[],[135,304,189,344,348,235,291,332,744,747,183,770,773,791,327,352,300,349,750,753,758,2,404,6,431,410,409,696,692,624,623,608,599,561,559,558,557,538,534,533,532,531,529,528,522,507,498,494,490])).
% 1.94/2.06 cnf(806,plain,
% 1.94/2.06 (~E(f23(x8061,x8062,x8063),x8062)),
% 1.94/2.06 inference(rename_variables,[],[332])).
% 1.94/2.06 cnf(809,plain,
% 1.94/2.06 (~E(f23(x8091,x8092,x8093),x8092)),
% 1.94/2.06 inference(rename_variables,[],[332])).
% 1.94/2.06 cnf(812,plain,
% 1.94/2.06 (~E(f23(x8121,x8122,x8123),x8122)),
% 1.94/2.06 inference(rename_variables,[],[332])).
% 1.94/2.06 cnf(815,plain,
% 1.94/2.06 (P19(f48(f33(x8151),f38(x8152),a55))),
% 1.94/2.06 inference(rename_variables,[],[198])).
% 1.94/2.06 cnf(818,plain,
% 1.94/2.06 (P19(f48(f33(x8181),f38(x8182),a55))),
% 1.94/2.06 inference(rename_variables,[],[198])).
% 1.94/2.06 cnf(827,plain,
% 1.94/2.06 (P19(f48(f33(x8271),f38(x8272),a55))),
% 1.94/2.06 inference(rename_variables,[],[198])).
% 1.94/2.06 cnf(830,plain,
% 1.94/2.06 (P19(f48(x8301,f29(f7(x8302,f23(x8301,x8303,x8304),x8304),x8304),x8304))),
% 1.94/2.06 inference(rename_variables,[],[300])).
% 1.94/2.06 cnf(846,plain,
% 1.94/2.06 (E(f47(x8461,f11(f47(x8461,x8462),x8461,x8463,x8464)),f47(x8461,x8462))),
% 1.94/2.06 inference(scs_inference,[],[135,304,189,342,344,348,235,291,332,744,747,776,806,809,183,770,773,791,227,327,198,815,818,352,300,767,299,349,750,753,758,268,356,2,404,6,431,410,409,696,692,624,623,608,599,561,559,558,557,538,534,533,532,531,529,528,522,507,498,494,490,489,426,414,413,364,655,564,493,492,613,609,571,546,539,475,560,536,535,523,687])).
% 1.94/2.06 cnf(856,plain,
% 1.94/2.06 (P19(f48(f47(x8561,x8562),f50(x8561,f45(f58(x8563,a37)),x8563,x8564),x8564))),
% 1.94/2.06 inference(rename_variables,[],[299])).
% 1.94/2.06 cnf(862,plain,
% 1.94/2.06 (P11(x8621,x8621,f58(x8622,a37))),
% 1.94/2.06 inference(rename_variables,[],[179])).
% 1.94/2.06 cnf(864,plain,
% 1.94/2.06 (P11(x8641,x8641,f58(x8642,a37))),
% 1.94/2.06 inference(rename_variables,[],[179])).
% 1.94/2.06 cnf(866,plain,
% 1.94/2.06 (E(f4(f4(x8661)),x8661)),
% 1.94/2.06 inference(rename_variables,[],[155])).
% 1.94/2.06 cnf(868,plain,
% 1.94/2.06 (~E(f23(x8681,x8682,x8683),x8682)),
% 1.94/2.06 inference(rename_variables,[],[332])).
% 1.94/2.06 cnf(870,plain,
% 1.94/2.06 (P11(x8701,f5(x8701),f58(a55,a37))),
% 1.94/2.06 inference(rename_variables,[],[183])).
% 1.94/2.06 cnf(874,plain,
% 1.94/2.06 (P19(f48(f47(x8741,x8742),f50(x8741,f45(f58(x8743,a37)),x8743,x8744),x8744))),
% 1.94/2.06 inference(rename_variables,[],[299])).
% 1.94/2.06 cnf(877,plain,
% 1.94/2.06 (~E(f23(x8771,x8772,x8773),x8772)),
% 1.94/2.06 inference(rename_variables,[],[332])).
% 1.94/2.06 cnf(879,plain,
% 1.94/2.06 (~P11(f14(a30,a69),f39(f14(x8791,f6(a41))),f58(a55,a37))),
% 1.94/2.06 inference(scs_inference,[],[135,168,304,189,342,192,344,348,235,291,179,862,162,166,332,744,747,776,806,809,812,868,183,770,773,791,155,227,202,196,327,198,815,818,352,300,767,299,856,349,750,753,758,351,268,356,2,404,6,431,410,409,696,692,624,623,608,599,561,559,558,557,538,534,533,532,531,529,528,522,507,498,494,490,489,426,414,413,364,655,564,493,492,613,609,571,546,539,475,560,536,535,523,687,587,520,731,730,130,124,123,111,110,108,3,480,716,707,555])).
% 1.94/2.06 cnf(885,plain,
% 1.94/2.06 (P19(f48(f33(x8851),f38(x8852),a55))),
% 1.94/2.06 inference(rename_variables,[],[198])).
% 1.94/2.06 cnf(888,plain,
% 1.94/2.06 (P19(f48(f33(x8881),f38(x8882),a55))),
% 1.94/2.06 inference(rename_variables,[],[198])).
% 1.94/2.06 cnf(891,plain,
% 1.94/2.06 (P19(f48(x8911,f29(f7(x8912,f23(x8911,x8913,x8914),x8914),x8914),x8914))),
% 1.94/2.06 inference(rename_variables,[],[300])).
% 1.94/2.06 cnf(898,plain,
% 1.94/2.06 (P19(f48(f33(x8981),f38(x8982),a55))),
% 1.94/2.06 inference(rename_variables,[],[198])).
% 1.94/2.06 cnf(901,plain,
% 1.94/2.06 (~P19(f48(f35(x9011,x9012),f50(a32,x9013,a57,a55),a55))),
% 1.94/2.06 inference(rename_variables,[],[353])).
% 1.94/2.06 cnf(906,plain,
% 1.94/2.06 (P11(x9061,x9061,f58(x9062,a37))),
% 1.94/2.06 inference(rename_variables,[],[179])).
% 1.94/2.06 cnf(909,plain,
% 1.94/2.06 (~P19(f48(f35(x9091,x9092),f50(a32,x9093,a57,a55),a55))),
% 1.94/2.06 inference(rename_variables,[],[353])).
% 1.94/2.06 cnf(915,plain,
% 1.94/2.06 (P11(x9151,x9151,f58(x9152,a37))),
% 1.94/2.06 inference(rename_variables,[],[179])).
% 1.94/2.06 cnf(921,plain,
% 1.94/2.06 (P19(f48(f47(x9211,x9212),f50(x9211,f45(f58(x9213,a37)),x9213,x9214),x9214))),
% 1.94/2.06 inference(rename_variables,[],[299])).
% 1.94/2.06 cnf(926,plain,
% 1.94/2.06 (~P19(f48(f17(x9261,x9262,f35(f47(a44,x9262),f36(f3(x9263),f36(f33(x9264),f36(f47(a32,x9265),f47(a32,a61)))))),f29(a69,a41),a41))),
% 1.94/2.06 inference(scs_inference,[],[135,168,304,189,188,342,161,192,344,348,235,291,179,862,864,906,162,166,332,744,747,776,806,809,812,868,877,183,770,773,791,322,155,252,227,202,196,327,198,815,818,827,885,888,352,353,901,217,300,767,830,891,299,856,874,921,349,750,753,758,351,268,356,2,404,6,431,410,409,696,692,624,623,608,599,561,559,558,557,538,534,533,532,531,529,528,522,507,498,494,490,489,426,414,413,364,655,564,493,492,613,609,571,546,539,475,560,536,535,523,687,587,520,731,730,130,124,123,111,110,108,3,480,716,707,555,600,665,644,572,708,595,544,648,570,584,601,664,634,704,718,710])).
% 1.94/2.06 cnf(945,plain,
% 1.94/2.06 (P18(f58(x9451,a37))),
% 1.94/2.06 inference(scs_inference,[],[135,168,139,140,141,150,152,153,304,189,188,342,161,192,344,348,235,291,179,862,864,906,162,166,332,744,747,776,806,809,812,868,877,183,770,773,791,322,155,252,227,202,196,327,198,815,818,827,885,888,352,353,901,217,300,767,830,891,299,856,874,921,349,750,753,758,351,268,356,2,404,6,431,410,409,696,692,624,623,608,599,561,559,558,557,538,534,533,532,531,529,528,522,507,498,494,490,489,426,414,413,364,655,564,493,492,613,609,571,546,539,475,560,536,535,523,687,587,520,731,730,130,124,123,111,110,108,3,480,716,707,555,600,665,644,572,708,595,544,648,570,584,601,664,634,704,718,710,395,394,430,429,428,427,399,396,374])).
% 1.94/2.06 cnf(947,plain,
% 1.94/2.06 (P17(f58(x9471,a37))),
% 1.94/2.06 inference(scs_inference,[],[135,168,139,140,141,150,151,152,153,304,189,188,342,161,192,344,348,235,291,179,862,864,906,162,166,332,744,747,776,806,809,812,868,877,183,770,773,791,322,155,252,227,202,196,327,198,815,818,827,885,888,352,353,901,217,300,767,830,891,299,856,874,921,349,750,753,758,351,268,356,2,404,6,431,410,409,696,692,624,623,608,599,561,559,558,557,538,534,533,532,531,529,528,522,507,498,494,490,489,426,414,413,364,655,564,493,492,613,609,571,546,539,475,560,536,535,523,687,587,520,731,730,130,124,123,111,110,108,3,480,716,707,555,600,665,644,572,708,595,544,648,570,584,601,664,634,704,718,710,395,394,430,429,428,427,399,396,374,373])).
% 1.94/2.06 cnf(963,plain,
% 1.94/2.06 (P1(f58(x9631,a37))),
% 1.94/2.06 inference(scs_inference,[],[135,168,139,140,141,143,144,145,146,148,150,151,152,153,304,189,188,342,161,192,344,348,235,291,179,862,864,906,162,166,332,744,747,776,806,809,812,868,877,183,770,773,791,322,155,252,227,202,196,327,198,815,818,827,885,888,352,353,901,217,300,767,830,891,299,856,874,921,349,750,753,758,351,268,356,2,404,6,431,410,409,696,692,624,623,608,599,561,559,558,557,538,534,533,532,531,529,528,522,507,498,494,490,489,426,414,413,364,655,564,493,492,613,609,571,546,539,475,560,536,535,523,687,587,520,731,730,130,124,123,111,110,108,3,480,716,707,555,600,665,644,572,708,595,544,648,570,584,601,664,634,704,718,710,395,394,430,429,428,427,399,396,374,373,372,371,370,369,368,367,366,365])).
% 1.94/2.06 cnf(1209,plain,
% 1.94/2.06 (P19(f48(f35(a60,f3(a68)),f39(f49(x12091,f14(a30,a69),a55)),a55))),
% 1.94/2.06 inference(scs_inference,[],[135,168,139,140,141,143,144,145,146,147,148,150,151,152,153,304,189,188,342,161,192,344,348,235,291,179,862,864,906,915,162,166,332,744,747,776,806,809,812,868,877,183,770,773,791,870,182,181,322,155,252,227,202,184,196,327,198,815,818,827,885,888,352,353,901,346,217,300,767,830,891,350,261,299,856,874,921,349,750,753,758,351,268,356,2,404,6,431,410,409,696,692,624,623,608,599,561,559,558,557,538,534,533,532,531,529,528,522,507,498,494,490,489,426,414,413,364,655,564,493,492,613,609,571,546,539,475,560,536,535,523,687,587,520,731,730,130,124,123,111,110,108,3,480,716,707,555,600,665,644,572,708,595,544,648,570,584,601,664,634,704,718,710,395,394,430,429,428,427,399,396,374,373,372,371,370,369,368,367,366,365,362,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,5,4,681,676,607,580,579,576,487,486,485,484,454,453,452,438,437,436,435,434,433,432,421,420,419,417,416,403,398,397,389,386,385,384,383,382,381,380,379,378,377,376,375,361,360,359,472,451,450,449,448,481,471,470,469,468,467,461,460,459,406,405,402,401,699,680,678,677,666,632,612,611,610])).
% 1.94/2.06 cnf(1290,plain,
% 1.94/2.06 (~P19(f48(f47(a32,f47(a44,a31)),f5(f14(a30,a69)),a55))),
% 1.94/2.06 inference(scs_inference,[],[135,168,139,140,141,143,144,145,146,147,148,150,151,152,153,304,189,188,342,161,192,344,348,235,291,179,862,864,906,915,162,166,332,744,747,776,806,809,812,868,877,183,770,773,791,870,182,212,181,322,155,866,173,252,227,202,184,196,160,327,198,815,818,827,885,888,352,353,901,346,217,300,767,830,891,350,261,299,856,874,921,349,750,753,758,351,268,356,2,404,6,431,410,409,696,692,624,623,608,599,561,559,558,557,538,534,533,532,531,529,528,522,507,498,494,490,489,426,414,413,364,655,564,493,492,613,609,571,546,539,475,560,536,535,523,687,587,520,731,730,130,124,123,111,110,108,3,480,716,707,555,600,665,644,572,708,595,544,648,570,584,601,664,634,704,718,710,395,394,430,429,428,427,399,396,374,373,372,371,370,369,368,367,366,365,362,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,5,4,681,676,607,580,579,576,487,486,485,484,454,453,452,438,437,436,435,434,433,432,421,420,419,417,416,403,398,397,389,386,385,384,383,382,381,380,379,378,377,376,375,361,360,359,472,451,450,449,448,481,471,470,469,468,467,461,460,459,406,405,402,401,699,680,678,677,666,632,612,611,610,547,530,527,526,525,519,518,517,511,510,509,508,491,488,473,455,447,446,445,646,659,552,516,593,592,585,574,521,638,622,621,706,705,131,125,112,502,500,483,482,400,628])).
% 1.94/2.06 cnf(1294,plain,
% 1.94/2.06 (P19(f48(f47(a32,f47(a44,a30)),f5(f14(a30,a69)),a55))),
% 1.94/2.06 inference(scs_inference,[],[135,168,139,140,141,143,144,145,146,147,148,150,151,152,153,304,189,188,342,161,192,344,348,235,291,179,862,864,906,915,162,166,332,744,747,776,806,809,812,868,877,183,770,773,791,870,182,212,181,322,155,866,173,252,227,202,184,196,160,327,198,815,818,827,885,888,352,353,901,346,217,300,767,830,891,350,261,299,856,874,921,349,750,753,758,351,268,356,2,404,6,431,410,409,696,692,624,623,608,599,561,559,558,557,538,534,533,532,531,529,528,522,507,498,494,490,489,426,414,413,364,655,564,493,492,613,609,571,546,539,475,560,536,535,523,687,587,520,731,730,130,124,123,111,110,108,3,480,716,707,555,600,665,644,572,708,595,544,648,570,584,601,664,634,704,718,710,395,394,430,429,428,427,399,396,374,373,372,371,370,369,368,367,366,365,362,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,5,4,681,676,607,580,579,576,487,486,485,484,454,453,452,438,437,436,435,434,433,432,421,420,419,417,416,403,398,397,389,386,385,384,383,382,381,380,379,378,377,376,375,361,360,359,472,451,450,449,448,481,471,470,469,468,467,461,460,459,406,405,402,401,699,680,678,677,666,632,612,611,610,547,530,527,526,525,519,518,517,511,510,509,508,491,488,473,455,447,446,445,646,659,552,516,593,592,585,574,521,638,622,621,706,705,131,125,112,502,500,483,482,400,628,627,606])).
% 1.94/2.06 cnf(1306,plain,
% 1.94/2.06 (P19(f48(f47(a32,f4(f47(f46(x13061),x13062))),f5(f49(f47(a32,f4(f47(f46(x13061),x13062))),f14(a30,a69),a55)),a55))),
% 1.94/2.06 inference(scs_inference,[],[135,168,139,140,141,143,144,145,146,147,148,150,151,152,153,304,189,188,342,161,192,344,348,235,291,179,862,864,906,915,162,166,332,744,747,776,806,809,812,868,877,183,770,773,791,870,182,212,181,322,155,866,173,252,227,202,184,196,160,327,198,815,818,827,885,888,352,353,901,346,217,300,767,830,891,350,261,357,299,856,874,921,349,750,753,758,351,268,356,2,404,6,431,410,409,696,692,624,623,608,599,561,559,558,557,538,534,533,532,531,529,528,522,507,498,494,490,489,426,414,413,364,655,564,493,492,613,609,571,546,539,475,560,536,535,523,687,587,520,731,730,130,124,123,111,110,108,3,480,716,707,555,600,665,644,572,708,595,544,648,570,584,601,664,634,704,718,710,395,394,430,429,428,427,399,396,374,373,372,371,370,369,368,367,366,365,362,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,5,4,681,676,607,580,579,576,487,486,485,484,454,453,452,438,437,436,435,434,433,432,421,420,419,417,416,403,398,397,389,386,385,384,383,382,381,380,379,378,377,376,375,361,360,359,472,451,450,449,448,481,471,470,469,468,467,461,460,459,406,405,402,401,699,680,678,677,666,632,612,611,610,547,530,527,526,525,519,518,517,511,510,509,508,491,488,473,455,447,446,445,646,659,552,516,593,592,585,574,521,638,622,621,706,705,131,125,112,502,500,483,482,400,628,627,606,605,478,424,423,392,685])).
% 1.94/2.06 cnf(1310,plain,
% 1.94/2.06 (P11(x13101,x13101,f58(x13102,a37))),
% 1.94/2.06 inference(rename_variables,[],[179])).
% 1.94/2.06 cnf(1313,plain,
% 1.94/2.06 (P11(x13131,x13131,f58(x13132,a37))),
% 1.94/2.06 inference(rename_variables,[],[179])).
% 1.94/2.06 cnf(1317,plain,
% 1.94/2.06 (~P11(f14(a30,a69),f5(f14(x13171,f6(a41))),f58(a55,a37))),
% 1.94/2.06 inference(scs_inference,[],[135,168,139,140,141,143,144,145,146,147,148,150,151,152,153,304,189,188,342,161,192,344,348,235,291,179,862,864,906,915,1310,162,166,332,744,747,776,806,809,812,868,877,183,770,773,791,870,182,212,181,322,155,866,173,252,227,202,184,196,160,327,198,815,818,827,885,888,352,353,901,346,217,300,767,830,891,350,261,357,299,856,874,921,349,750,753,758,351,268,356,2,404,6,431,410,409,696,692,624,623,608,599,561,559,558,557,538,534,533,532,531,529,528,522,507,498,494,490,489,426,414,413,364,655,564,493,492,613,609,571,546,539,475,560,536,535,523,687,587,520,731,730,130,124,123,111,110,108,3,480,716,707,555,600,665,644,572,708,595,544,648,570,584,601,664,634,704,718,710,395,394,430,429,428,427,399,396,374,373,372,371,370,369,368,367,366,365,362,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,5,4,681,676,607,580,579,576,487,486,485,484,454,453,452,438,437,436,435,434,433,432,421,420,419,417,416,403,398,397,389,386,385,384,383,382,381,380,379,378,377,376,375,361,360,359,472,451,450,449,448,481,471,470,469,468,467,461,460,459,406,405,402,401,699,680,678,677,666,632,612,611,610,547,530,527,526,525,519,518,517,511,510,509,508,491,488,473,455,447,446,445,646,659,552,516,593,592,585,574,521,638,622,621,706,705,131,125,112,502,500,483,482,400,628,627,606,605,478,424,423,392,685,556,554,633,504])).
% 1.94/2.06 cnf(1320,plain,
% 1.94/2.06 (~P19(f48(f3(f51(x13201)),f9(x13201),a55))),
% 1.94/2.06 inference(rename_variables,[],[345])).
% 1.94/2.06 cnf(1325,plain,
% 1.94/2.06 (P19(f48(f35(a60,f3(a68)),f39(f8(f14(a30,a69),f14(a30,a69),f58(a55,a37))),a55))),
% 1.94/2.06 inference(scs_inference,[],[135,168,139,140,141,143,144,145,146,147,148,150,151,152,153,304,189,188,342,161,192,344,348,235,291,179,862,864,906,915,1310,162,166,332,744,747,776,806,809,812,868,877,183,770,773,791,870,182,212,181,322,155,866,173,252,227,202,184,196,160,327,198,815,818,827,885,888,352,353,901,346,217,345,1320,300,767,830,891,350,261,357,299,856,874,921,349,750,753,758,351,268,356,2,404,6,431,410,409,696,692,624,623,608,599,561,559,558,557,538,534,533,532,531,529,528,522,507,498,494,490,489,426,414,413,364,655,564,493,492,613,609,571,546,539,475,560,536,535,523,687,587,520,731,730,130,124,123,111,110,108,3,480,716,707,555,600,665,644,572,708,595,544,648,570,584,601,664,634,704,718,710,395,394,430,429,428,427,399,396,374,373,372,371,370,369,368,367,366,365,362,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,5,4,681,676,607,580,579,576,487,486,485,484,454,453,452,438,437,436,435,434,433,432,421,420,419,417,416,403,398,397,389,386,385,384,383,382,381,380,379,378,377,376,375,361,360,359,472,451,450,449,448,481,471,470,469,468,467,461,460,459,406,405,402,401,699,680,678,677,666,632,612,611,610,547,530,527,526,525,519,518,517,511,510,509,508,491,488,473,455,447,446,445,646,659,552,516,593,592,585,574,521,638,622,621,706,705,131,125,112,502,500,483,482,400,628,627,606,605,478,424,423,392,685,556,554,633,504,682,679,672])).
% 1.94/2.06 cnf(1329,plain,
% 1.94/2.06 (P19(f48(a60,f34(f39(f14(a30,a69))),a57))),
% 1.94/2.06 inference(scs_inference,[],[135,168,139,140,141,143,144,145,146,147,148,150,151,152,153,304,189,188,342,161,192,344,348,235,291,179,862,864,906,915,1310,1313,162,166,332,744,747,776,806,809,812,868,877,183,770,773,791,870,182,212,181,322,155,866,173,252,227,202,184,196,160,327,198,815,818,827,885,888,352,353,901,346,217,345,1320,300,767,830,891,350,261,357,299,856,874,921,349,750,753,758,351,268,356,2,404,6,431,410,409,696,692,624,623,608,599,561,559,558,557,538,534,533,532,531,529,528,522,507,498,494,490,489,426,414,413,364,655,564,493,492,613,609,571,546,539,475,560,536,535,523,687,587,520,731,730,130,124,123,111,110,108,3,480,716,707,555,600,665,644,572,708,595,544,648,570,584,601,664,634,704,718,710,395,394,430,429,428,427,399,396,374,373,372,371,370,369,368,367,366,365,362,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,5,4,681,676,607,580,579,576,487,486,485,484,454,453,452,438,437,436,435,434,433,432,421,420,419,417,416,403,398,397,389,386,385,384,383,382,381,380,379,378,377,376,375,361,360,359,472,451,450,449,448,481,471,470,469,468,467,461,460,459,406,405,402,401,699,680,678,677,666,632,612,611,610,547,530,527,526,525,519,518,517,511,510,509,508,491,488,473,455,447,446,445,646,659,552,516,593,592,585,574,521,638,622,621,706,705,131,125,112,502,500,483,482,400,628,627,606,605,478,424,423,392,685,556,554,633,504,682,679,672,636,578])).
% 1.94/2.06 cnf(1339,plain,
% 1.94/2.06 (P19(f48(f33(x13391),f38(x13392),a55))),
% 1.94/2.06 inference(rename_variables,[],[198])).
% 1.94/2.06 cnf(1353,plain,
% 1.94/2.06 (~P19(f48(f35(f47(f46(x13531),x13532),x13533),f38(f50(a32,a40,a57,a55)),a55))),
% 1.94/2.06 inference(scs_inference,[],[135,168,139,140,141,143,144,145,146,147,148,150,151,152,153,304,189,188,342,161,192,344,348,235,291,179,862,864,906,915,1310,1313,162,166,332,744,747,776,806,809,812,868,877,183,770,773,791,870,182,212,181,340,322,155,866,173,252,227,202,184,196,160,327,198,815,818,827,885,888,898,1339,352,353,901,909,346,217,345,1320,300,767,830,891,350,261,357,299,856,874,921,349,750,753,758,351,268,356,2,404,6,431,410,409,696,692,624,623,608,599,561,559,558,557,538,534,533,532,531,529,528,522,507,498,494,490,489,426,414,413,364,655,564,493,492,613,609,571,546,539,475,560,536,535,523,687,587,520,731,730,130,124,123,111,110,108,3,480,716,707,555,600,665,644,572,708,595,544,648,570,584,601,664,634,704,718,710,395,394,430,429,428,427,399,396,374,373,372,371,370,369,368,367,366,365,362,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,5,4,681,676,607,580,579,576,487,486,485,484,454,453,452,438,437,436,435,434,433,432,421,420,419,417,416,403,398,397,389,386,385,384,383,382,381,380,379,378,377,376,375,361,360,359,472,451,450,449,448,481,471,470,469,468,467,461,460,459,406,405,402,401,699,680,678,677,666,632,612,611,610,547,530,527,526,525,519,518,517,511,510,509,508,491,488,473,455,447,446,445,646,659,552,516,593,592,585,574,521,638,622,621,706,705,131,125,112,502,500,483,482,400,628,627,606,605,478,424,423,392,685,556,554,633,504,682,679,672,636,578,505,660,643,642,597,581,567,641,598,589])).
% 1.94/2.06 cnf(1407,plain,
% 1.94/2.06 (P19(f48(f35(a60,f3(a68)),f39(f49(x14071,f14(a30,a69),a55)),a55))),
% 1.94/2.06 inference(rename_variables,[],[1209])).
% 1.94/2.06 cnf(1413,plain,
% 1.94/2.06 (P11(x14131,f8(x14132,x14131,f58(x14133,a37)),f58(x14133,a37))),
% 1.94/2.06 inference(rename_variables,[],[223])).
% 1.94/2.06 cnf(1421,plain,
% 1.94/2.06 (P19(f48(f47(a44,x14211),a40,a57))),
% 1.94/2.06 inference(rename_variables,[],[202])).
% 1.94/2.06 cnf(1437,plain,
% 1.94/2.06 (P11(x14371,f8(x14372,x14371,f58(x14373,a37)),f58(x14373,a37))),
% 1.94/2.06 inference(rename_variables,[],[223])).
% 1.94/2.06 cnf(1442,plain,
% 1.94/2.06 (E(f47(x14421,f11(f47(x14421,x14422),x14421,x14423,x14424)),f47(x14421,x14422))),
% 1.94/2.06 inference(rename_variables,[],[846])).
% 1.94/2.06 cnf(1448,plain,
% 1.94/2.06 (P19(f48(x14481,f29(f7(x14482,f23(x14481,x14483,x14484),x14484),x14484),x14484))),
% 1.94/2.06 inference(rename_variables,[],[300])).
% 1.94/2.06 cnf(1463,plain,
% 1.94/2.06 (P1(f58(x14631,a37))),
% 1.94/2.06 inference(rename_variables,[],[963])).
% 1.94/2.06 cnf(1466,plain,
% 1.94/2.06 (P11(x14661,f8(x14662,x14661,f58(x14663,a37)),f58(x14663,a37))),
% 1.94/2.06 inference(rename_variables,[],[223])).
% 1.94/2.06 cnf(1475,plain,
% 1.94/2.06 (P19(f48(x14751,f29(f7(x14752,f23(x14751,x14753,x14754),x14754),x14754),x14754))),
% 1.94/2.06 inference(rename_variables,[],[300])).
% 1.94/2.06 cnf(1506,plain,
% 1.94/2.06 ($false),
% 1.94/2.06 inference(scs_inference,[],[312,223,1413,1437,1466,224,328,219,329,343,347,284,282,193,179,162,183,202,1421,198,353,300,1448,1475,357,351,148,299,268,188,344,342,189,192,846,1442,1317,879,1353,926,757,766,782,784,1294,1306,799,1325,1290,1209,1407,945,947,963,1463,1329,635,667,495,477,476,626,712,691,690,674,673,551,569,397,378,623,608,559,533,528,480,500,482,627,606,478,707,682,672,636,578,708,660,643,567,584,718,640]),
% 1.94/2.06 ['proof']).
% 1.94/2.06 % SZS output end Proof
% 1.94/2.06 % Total time :1.200000s
%------------------------------------------------------------------------------