TSTP Solution File: SWV756-1 by CSE---1.6
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%------------------------------------------------------------------------------
% File : CSE---1.6
% Problem : SWV756-1 : TPTP v8.1.2. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %s %d
% Computer : n028.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 21:35:06 EDT 2023
% Result : Unsatisfiable 1.97s 1.98s
% Output : CNFRefutation 1.97s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : SWV756-1 : TPTP v8.1.2. Released v4.1.0.
% 0.12/0.13 % Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %s %d
% 0.12/0.33 % Computer : n028.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 300
% 0.12/0.33 % DateTime : Tue Aug 29 08:25:25 EDT 2023
% 0.12/0.33 % CPUTime :
% 0.18/0.57 start to proof:theBenchmark
% 1.85/1.93 %-------------------------------------------
% 1.85/1.93 % File :CSE---1.6
% 1.85/1.93 % Problem :theBenchmark
% 1.85/1.93 % Transform :cnf
% 1.85/1.93 % Format :tptp:raw
% 1.85/1.93 % Command :java -jar mcs_scs.jar %d %s
% 1.85/1.93
% 1.85/1.93 % Result :Theorem 1.120000s
% 1.85/1.93 % Output :CNFRefutation 1.120000s
% 1.85/1.93 %-------------------------------------------
% 1.85/1.94 %------------------------------------------------------------------------------
% 1.85/1.94 % File : SWV756-1 : TPTP v8.1.2. Released v4.1.0.
% 1.85/1.94 % Domain : Software Verification
% 1.85/1.94 % Problem : Needham-Schroeder shared-key protocol 319_1
% 1.85/1.94 % Version : Especial.
% 1.85/1.94 % English :
% 1.85/1.94
% 1.85/1.94 % Refs : [BAN89] Burrows et al. (1989), A Logic of Authentication
% 1.85/1.94 % : [Nip10] Nipkow (2010), Email to Geoff Sutcliffe
% 1.85/1.94 % : [BN10] Boehme & Nipkow (2010), Sledgehammer: Judgement Day
% 1.85/1.94 % Source : [Nip10]
% 1.85/1.94 % Names : NS_Shared-319_1 [Nip10]
% 1.85/1.94
% 1.85/1.94 % Status : Unsatisfiable
% 1.85/1.94 % Rating : 0.10 v8.1.0, 0.11 v7.5.0, 0.26 v7.4.0, 0.18 v7.3.0, 0.00 v7.0.0, 0.20 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
% 1.85/1.94 % Syntax : Number of clauses : 590 ( 240 unt; 53 nHn; 355 RR)
% 1.85/1.94 % Number of literals : 1147 ( 303 equ; 574 neg)
% 1.85/1.94 % Maximal clause size : 6 ( 1 avg)
% 1.85/1.94 % Maximal term depth : 11 ( 2 avg)
% 1.85/1.94 % Number of predicates : 18 ( 17 usr; 0 prp; 1-3 aty)
% 1.85/1.94 % Number of functors : 67 ( 67 usr; 30 con; 0-4 aty)
% 1.85/1.94 % Number of variables : 1680 ( 468 sgn)
% 1.85/1.94 % SPC : CNF_UNS_RFO_SEQ_NHN
% 1.85/1.94
% 1.85/1.94 % Comments :
% 1.85/1.94 %------------------------------------------------------------------------------
% 1.85/1.94 cnf(cls_privateKey__image__eq_2,axiom,
% 1.85/1.94 ( hBOOL(c_in(hAPP(c_Message_OinvKey,hAPP(c_Public_OpublicKey(V_x),V_A)),c_Set_Oimage(c_Message_OinvKey,c_Set_Oimage(c_Public_OpublicKey(V_x),V_AS,tc_Message_Oagent,tc_nat),tc_nat,tc_nat),tc_nat))
% 1.85/1.94 | ~ hBOOL(c_in(V_A,V_AS,tc_Message_Oagent)) ) ).
% 1.85/1.94
% 1.85/1.94 cnf(cls_privateKey__image__eq_1,axiom,
% 1.85/1.94 ( hBOOL(c_in(V_A,V_AS,tc_Message_Oagent))
% 1.85/1.94 | ~ hBOOL(c_in(hAPP(c_Message_OinvKey,hAPP(c_Public_OpublicKey(V_b),V_A)),c_Set_Oimage(c_Message_OinvKey,c_Set_Oimage(c_Public_OpublicKey(V_c),V_AS,tc_Message_Oagent,tc_nat),tc_nat,tc_nat),tc_nat)) ) ).
% 1.85/1.94
% 1.85/1.94 cnf(cls_shrK__notin__image__privateKey_0,axiom,
% 1.85/1.94 ~ hBOOL(c_in(hAPP(c_Public_OshrK,V_x),c_Set_Oimage(c_Message_OinvKey,c_Set_Oimage(c_Public_OpublicKey(V_b),V_AA,tc_Message_Oagent,tc_nat),tc_nat,tc_nat),tc_nat)) ).
% 1.85/1.94
% 1.85/1.94 cnf(cls_publicKey__notin__image__privateKey_0,axiom,
% 1.85/1.94 ~ hBOOL(c_in(hAPP(c_Public_OpublicKey(V_b),V_A),c_Set_Oimage(c_Message_OinvKey,c_Set_Oimage(c_Public_OpublicKey(V_c),V_AS,tc_Message_Oagent,tc_nat),tc_nat,tc_nat),tc_nat)) ).
% 1.85/1.94
% 1.85/1.94 cnf(cls_privateKey__image__eq_0,axiom,
% 1.85/1.94 ( V_b = V_c
% 1.85/1.94 | ~ hBOOL(c_in(hAPP(c_Message_OinvKey,hAPP(c_Public_OpublicKey(V_b),V_A)),c_Set_Oimage(c_Message_OinvKey,c_Set_Oimage(c_Public_OpublicKey(V_c),V_AS,tc_Message_Oagent,tc_nat),tc_nat,tc_nat),tc_nat)) ) ).
% 1.85/1.94
% 1.85/1.94 cnf(cls_invKey__image__eq_1,axiom,
% 1.85/1.94 ( hBOOL(c_in(hAPP(c_Message_OinvKey,V_x),c_Set_Oimage(c_Message_OinvKey,V_A,tc_nat,tc_nat),tc_nat))
% 1.85/1.94 | ~ hBOOL(c_in(V_x,V_A,tc_nat)) ) ).
% 1.85/1.94
% 1.85/1.94 cnf(cls_invKey__image__eq_0,axiom,
% 1.85/1.94 ( hBOOL(c_in(V_x,V_A,tc_nat))
% 1.85/1.94 | ~ hBOOL(c_in(hAPP(c_Message_OinvKey,V_x),c_Set_Oimage(c_Message_OinvKey,V_A,tc_nat,tc_nat),tc_nat)) ) ).
% 1.85/1.94
% 1.85/1.94 cnf(cls_agent_Oinject_0,axiom,
% 1.85/1.94 ( c_Message_Oagent_OFriend(V_nat) != c_Message_Oagent_OFriend(V_nat_H)
% 1.85/1.94 | V_nat = V_nat_H ) ).
% 1.85/1.94
% 1.85/1.94 cnf(cls_agent_Osimps_I6_J_0,axiom,
% 1.85/1.94 c_Message_Oagent_OFriend(V_nat) != c_Message_Oagent_OSpy ).
% 1.85/1.94
% 1.85/1.94 cnf(cls_agent_Osimps_I7_J_0,axiom,
% 1.85/1.94 c_Message_Oagent_OSpy != c_Message_Oagent_OFriend(V_nat) ).
% 1.85/1.94
% 1.85/1.94 cnf(cls_agent_Osimps_I2_J_0,axiom,
% 1.85/1.94 c_Message_Oagent_OServer != c_Message_Oagent_OFriend(V_nat_H) ).
% 1.85/1.94
% 1.85/1.94 cnf(cls_agent_Osimps_I3_J_0,axiom,
% 1.85/1.94 c_Message_Oagent_OFriend(V_nat_H) != c_Message_Oagent_OServer ).
% 1.85/1.94
% 1.85/1.94 cnf(cls_ComplD_0,axiom,
% 1.85/1.94 ( ~ hBOOL(c_in(V_c,V_A,T_a))
% 1.85/1.94 | ~ hBOOL(c_in(V_c,c_HOL_Ouminus__class_Ouminus(V_A,tc_fun(T_a,tc_bool)),T_a)) ) ).
% 1.85/1.94
% 1.85/1.94 cnf(cls_ComplI_0,axiom,
% 1.85/1.94 ( hBOOL(c_in(V_c,c_HOL_Ouminus__class_Ouminus(V_A,tc_fun(T_a,tc_bool)),T_a))
% 1.85/1.94 | hBOOL(c_in(V_c,V_A,T_a)) ) ).
% 1.85/1.94
% 1.85/1.94 cnf(cls_minus__le__iff_1,axiom,
% 1.85/1.94 ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a)
% 1.85/1.94 | c_lessequals(c_HOL_Ouminus__class_Ouminus(V_a,T_a),V_b,T_a)
% 1.85/1.94 | ~ c_lessequals(c_HOL_Ouminus__class_Ouminus(V_b,T_a),V_a,T_a) ) ).
% 1.85/1.94
% 1.85/1.94 cnf(cls_minus__le__iff_0,axiom,
% 1.85/1.94 ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a)
% 1.85/1.94 | c_lessequals(c_HOL_Ouminus__class_Ouminus(V_b,T_a),V_a,T_a)
% 1.85/1.94 | ~ c_lessequals(c_HOL_Ouminus__class_Ouminus(V_a,T_a),V_b,T_a) ) ).
% 1.85/1.94
% 1.85/1.94 cnf(cls_le__minus__iff_1,axiom,
% 1.85/1.94 ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a)
% 1.85/1.94 | c_lessequals(V_a,c_HOL_Ouminus__class_Ouminus(V_b,T_a),T_a)
% 1.85/1.94 | ~ c_lessequals(V_b,c_HOL_Ouminus__class_Ouminus(V_a,T_a),T_a) ) ).
% 1.85/1.94
% 1.85/1.94 cnf(cls_le__minus__iff_0,axiom,
% 1.85/1.94 ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a)
% 1.85/1.94 | c_lessequals(V_b,c_HOL_Ouminus__class_Ouminus(V_a,T_a),T_a)
% 1.85/1.94 | ~ c_lessequals(V_a,c_HOL_Ouminus__class_Ouminus(V_b,T_a),T_a) ) ).
% 1.85/1.94
% 1.85/1.94 cnf(cls_minus__equation__iff_1,axiom,
% 1.85/1.94 ( ~ class_OrderedGroup_Ogroup__add(T_a)
% 1.85/1.94 | c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(V_b,T_a),T_a) = V_b ) ).
% 1.85/1.94
% 1.85/1.94 cnf(cls_equation__minus__iff_1,axiom,
% 1.85/1.94 ( ~ class_OrderedGroup_Ogroup__add(T_a)
% 1.85/1.94 | V_a = c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(V_a,T_a),T_a) ) ).
% 1.85/1.94
% 1.85/1.94 cnf(cls_equation__minus__iff_0,axiom,
% 1.85/1.94 ( ~ class_OrderedGroup_Ogroup__add(T_a)
% 1.85/1.94 | V_b = c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(V_b,T_a),T_a) ) ).
% 1.85/1.94
% 1.85/1.94 cnf(cls_double__compl_0,axiom,
% 1.85/1.94 ( ~ class_Lattices_Oboolean__algebra(T_a)
% 1.85/1.94 | c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(V_x,T_a),T_a) = V_x ) ).
% 1.85/1.94
% 1.85/1.94 cnf(cls_minus__minus_0,axiom,
% 1.85/1.94 ( ~ class_OrderedGroup_Ogroup__add(T_a)
% 1.85/1.94 | c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(V_a,T_a),T_a) = V_a ) ).
% 1.85/1.94
% 1.85/1.94 cnf(cls_double__complement_0,axiom,
% 1.85/1.94 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 ).
% 1.85/1.94
% 1.85/1.94 cnf(cls_sup__compl__top_0,axiom,
% 1.85/1.94 ( ~ class_Lattices_Oboolean__algebra(T_a)
% 1.85/1.94 | 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) ) ).
% 1.85/1.94
% 1.85/1.94 cnf(cls_compl__sup__top_0,axiom,
% 1.85/1.94 ( ~ class_Lattices_Oboolean__algebra(T_a)
% 1.85/1.94 | 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) ) ).
% 1.85/1.94
% 1.85/1.94 cnf(cls_Compl__partition_0,axiom,
% 1.85/1.94 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)) ).
% 1.85/1.94
% 1.85/1.94 cnf(cls_Compl__partition2_0,axiom,
% 1.85/1.94 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)) ).
% 1.85/1.94
% 1.85/1.94 cnf(cls_keymode_Osimps_I1_J_0,axiom,
% 1.85/1.94 c_Public_Okeymode_OSignature != c_Public_Okeymode_OEncryption ).
% 1.85/1.94
% 1.85/1.94 cnf(cls_priEK__noteq__shrK_0,axiom,
% 1.85/1.94 hAPP(c_Message_OinvKey,hAPP(c_Public_OpublicKey(c_Public_Okeymode_OEncryption),V_A)) != hAPP(c_Public_OshrK,V_B) ).
% 1.85/1.94
% 1.85/1.94 cnf(cls_keymode_Oinduct_0,axiom,
% 1.85/1.94 ( hBOOL(hAPP(V_P,V_keymode))
% 1.85/1.94 | ~ hBOOL(hAPP(V_P,c_Public_Okeymode_OEncryption))
% 1.85/1.94 | ~ hBOOL(hAPP(V_P,c_Public_Okeymode_OSignature)) ) ).
% 1.85/1.94
% 1.85/1.94 cnf(cls_neg__le__iff__le_0,axiom,
% 1.85/1.94 ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a)
% 1.85/1.94 | c_lessequals(V_a,V_b,T_a)
% 1.85/1.94 | ~ c_lessequals(c_HOL_Ouminus__class_Ouminus(V_b,T_a),c_HOL_Ouminus__class_Ouminus(V_a,T_a),T_a) ) ).
% 1.85/1.94
% 1.85/1.94 cnf(cls_le__imp__neg__le_0,axiom,
% 1.85/1.94 ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a)
% 1.85/1.94 | c_lessequals(c_HOL_Ouminus__class_Ouminus(V_b,T_a),c_HOL_Ouminus__class_Ouminus(V_a,T_a),T_a)
% 1.85/1.94 | ~ c_lessequals(V_a,V_b,T_a) ) ).
% 1.85/1.94
% 1.85/1.94 cnf(cls_Compl__anti__mono_0,axiom,
% 1.85/1.94 ( 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))
% 1.85/1.94 | ~ c_lessequals(V_A,V_B,tc_fun(T_a,tc_bool)) ) ).
% 1.85/1.94
% 1.85/1.94 cnf(cls_Compl__subset__Compl__iff_0,axiom,
% 1.85/1.94 ( c_lessequals(V_B,V_A,tc_fun(T_a,tc_bool))
% 1.85/1.94 | ~ 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)) ) ).
% 1.85/1.94
% 1.85/1.94 cnf(cls_Compl__subset__Compl__iff_1,axiom,
% 1.85/1.94 ( 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))
% 1.85/1.95 | ~ c_lessequals(V_B,V_A,tc_fun(T_a,tc_bool)) ) ).
% 1.85/1.95
% 1.85/1.95 cnf(cls_subset__Compl__self__eq_1,axiom,
% 1.85/1.95 c_lessequals(c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),c_HOL_Ouminus__class_Ouminus(c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)) ).
% 1.85/1.95
% 1.85/1.95 cnf(cls_keymode_Osimps_I2_J_0,axiom,
% 1.85/1.95 c_Public_Okeymode_OEncryption != c_Public_Okeymode_OSignature ).
% 1.85/1.95
% 1.85/1.95 cnf(cls_compl__top__eq_0,axiom,
% 1.85/1.95 ( ~ class_Lattices_Oboolean__algebra(T_a)
% 1.85/1.95 | c_HOL_Ouminus__class_Ouminus(c_Orderings_Otop__class_Otop(T_a),T_a) = c_Orderings_Obot__class_Obot(T_a) ) ).
% 1.85/1.95
% 1.85/1.95 cnf(cls_Compl__UNIV__eq_0,axiom,
% 1.85/1.95 c_HOL_Ouminus__class_Ouminus(c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)) = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)) ).
% 1.85/1.95
% 1.85/1.95 cnf(cls_compl__eq__compl__iff_0,axiom,
% 1.85/1.95 ( ~ class_Lattices_Oboolean__algebra(T_a)
% 1.85/1.95 | c_HOL_Ouminus__class_Ouminus(V_x,T_a) != c_HOL_Ouminus__class_Ouminus(V_y,T_a)
% 1.85/1.95 | V_x = V_y ) ).
% 1.85/1.95
% 1.85/1.95 cnf(cls_neg__equal__iff__equal_0,axiom,
% 1.85/1.95 ( ~ class_OrderedGroup_Ogroup__add(T_a)
% 1.85/1.95 | c_HOL_Ouminus__class_Ouminus(V_a,T_a) != c_HOL_Ouminus__class_Ouminus(V_b,T_a)
% 1.85/1.95 | V_a = V_b ) ).
% 1.85/1.95
% 1.85/1.95 cnf(cls_Compl__eq__Compl__iff_0,axiom,
% 1.85/1.95 ( 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))
% 1.85/1.95 | V_A = V_B ) ).
% 1.85/1.95
% 1.85/1.95 cnf(cls_fun__Compl__def__raw_0,axiom,
% 1.85/1.95 ( ~ class_HOL_Ouminus(t_b)
% 1.85/1.95 | 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) ) ).
% 1.85/1.95
% 1.85/1.95 cnf(cls_fun__Compl__def_0,axiom,
% 1.85/1.95 ( ~ class_HOL_Ouminus(T_b)
% 1.85/1.95 | 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) ) ).
% 1.85/1.95
% 1.85/1.95 cnf(cls_compl__bot__eq_0,axiom,
% 1.85/1.95 ( ~ class_Lattices_Oboolean__algebra(T_a)
% 1.85/1.95 | c_HOL_Ouminus__class_Ouminus(c_Orderings_Obot__class_Obot(T_a),T_a) = c_Orderings_Otop__class_Otop(T_a) ) ).
% 1.85/1.95
% 1.85/1.95 cnf(cls_Compl__empty__eq_0,axiom,
% 1.85/1.95 c_HOL_Ouminus__class_Ouminus(c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)) = c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_bool)) ).
% 1.85/1.95
% 1.85/1.95 cnf(cls_subset__Compl__self__eq_0,axiom,
% 1.85/1.95 ( V_A = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))
% 1.85/1.95 | ~ c_lessequals(V_A,c_HOL_Ouminus__class_Ouminus(V_A,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)) ) ).
% 1.85/1.95
% 1.85/1.95 cnf(cls_keysFor__mono_0,axiom,
% 1.85/1.95 ( c_lessequals(c_Message_OkeysFor(V_G),c_Message_OkeysFor(V_H),tc_fun(tc_nat,tc_bool))
% 1.85/1.95 | ~ c_lessequals(V_G,V_H,tc_fun(tc_Message_Omsg,tc_bool)) ) ).
% 1.85/1.95
% 1.85/1.95 cnf(cls_initState__Friend_0,axiom,
% 1.85/1.95 c_Event_OinitState(c_Message_Oagent_OFriend(V_i)) = c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Oupper__semilattice__class_Osup(c_Set_Oinsert(hAPP(c_Message_Omsg_OKey,hAPP(c_Message_OinvKey,hAPP(c_Public_OpublicKey(c_Public_Okeymode_OEncryption),c_Message_Oagent_OFriend(V_i)))),c_Set_Oinsert(hAPP(c_Message_Omsg_OKey,hAPP(c_Message_OinvKey,hAPP(c_Public_OpublicKey(c_Public_Okeymode_OSignature),c_Message_Oagent_OFriend(V_i)))),c_Set_Oinsert(hAPP(c_Message_Omsg_OKey,hAPP(c_Public_OshrK,c_Message_Oagent_OFriend(V_i))),c_Orderings_Obot__class_Obot(tc_fun(tc_Message_Omsg,tc_bool)),tc_Message_Omsg),tc_Message_Omsg),tc_Message_Omsg),c_Set_Oimage(c_Message_Omsg_OKey,c_Set_Oimage(c_Public_OpublicKey(c_Public_Okeymode_OEncryption),c_Orderings_Otop__class_Otop(tc_fun(tc_Message_Oagent,tc_bool)),tc_Message_Oagent,tc_nat),tc_nat,tc_Message_Omsg),tc_fun(tc_Message_Omsg,tc_bool)),c_Set_Oimage(c_Message_Omsg_OKey,c_Set_Oimage(c_Public_OpublicKey(c_Public_Okeymode_OSignature),c_Orderings_Otop__class_Otop(tc_fun(tc_Message_Oagent,tc_bool)),tc_Message_Oagent,tc_nat),tc_nat,tc_Message_Omsg),tc_fun(tc_Message_Omsg,tc_bool)) ).
% 1.85/1.95
% 1.85/1.95 cnf(cls_initState__Spy_0,axiom,
% 1.85/1.95 c_Event_OinitState(c_Message_Oagent_OSpy) = c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Oupper__semilattice__class_Osup(c_Set_Oimage(c_Message_Omsg_OKey,c_Set_Oimage(c_Message_OinvKey,c_Set_Oimage(c_Public_OpublicKey(c_Public_Okeymode_OEncryption),c_Event_Obad,tc_Message_Oagent,tc_nat),tc_nat,tc_nat),tc_nat,tc_Message_Omsg),c_Set_Oimage(c_Message_Omsg_OKey,c_Set_Oimage(c_Message_OinvKey,c_Set_Oimage(c_Public_OpublicKey(c_Public_Okeymode_OSignature),c_Event_Obad,tc_Message_Oagent,tc_nat),tc_nat,tc_nat),tc_nat,tc_Message_Omsg),tc_fun(tc_Message_Omsg,tc_bool)),c_Set_Oimage(c_Message_Omsg_OKey,c_Set_Oimage(c_Public_OshrK,c_Event_Obad,tc_Message_Oagent,tc_nat),tc_nat,tc_Message_Omsg),tc_fun(tc_Message_Omsg,tc_bool)),c_Set_Oimage(c_Message_Omsg_OKey,c_Set_Oimage(c_Public_OpublicKey(c_Public_Okeymode_OEncryption),c_Orderings_Otop__class_Otop(tc_fun(tc_Message_Oagent,tc_bool)),tc_Message_Oagent,tc_nat),tc_nat,tc_Message_Omsg),tc_fun(tc_Message_Omsg,tc_bool)),c_Set_Oimage(c_Message_Omsg_OKey,c_Set_Oimage(c_Public_OpublicKey(c_Public_Okeymode_OSignature),c_Orderings_Otop__class_Otop(tc_fun(tc_Message_Oagent,tc_bool)),tc_Message_Oagent,tc_nat),tc_nat,tc_Message_Omsg),tc_fun(tc_Message_Omsg,tc_bool)) ).
% 1.85/1.95
% 1.85/1.95 cnf(cls_symKey__neq__priEK_0,axiom,
% 1.85/1.95 ~ hBOOL(c_in(hAPP(c_Message_OinvKey,hAPP(c_Public_OpublicKey(c_Public_Okeymode_OEncryption),V_A)),c_Message_OsymKeys,tc_nat)) ).
% 1.85/1.95
% 1.85/1.95 cnf(cls_bot__least_0,axiom,
% 1.85/1.95 ( ~ class_Orderings_Obot(T_a)
% 1.85/1.95 | c_lessequals(c_Orderings_Obot__class_Obot(T_a),V_x,T_a) ) ).
% 1.85/1.95
% 1.85/1.95 cnf(cls_empty__subsetI_0,axiom,
% 1.85/1.95 c_lessequals(c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),V_A,tc_fun(T_a,tc_bool)) ).
% 1.85/1.95
% 1.85/1.95 cnf(cls_synth__mono_0,axiom,
% 1.85/1.95 ( c_lessequals(c_Message_Osynth(V_G),c_Message_Osynth(V_H),tc_fun(tc_Message_Omsg,tc_bool))
% 1.85/1.95 | ~ c_lessequals(V_G,V_H,tc_fun(tc_Message_Omsg,tc_bool)) ) ).
% 1.85/1.95
% 1.85/1.95 cnf(cls_synth__cut_0,axiom,
% 1.85/1.95 ( hBOOL(c_in(V_Y,c_Message_Osynth(V_H),tc_Message_Omsg))
% 1.85/1.95 | ~ hBOOL(c_in(V_X,c_Message_Osynth(V_H),tc_Message_Omsg))
% 1.85/1.95 | ~ hBOOL(c_in(V_Y,c_Message_Osynth(c_Set_Oinsert(V_X,V_H,tc_Message_Omsg)),tc_Message_Omsg)) ) ).
% 1.85/1.95
% 1.85/1.95 cnf(cls_Un__insert__right_0,axiom,
% 1.85/1.95 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) ).
% 1.85/1.95
% 1.85/1.95 cnf(cls_Un__insert__left_0,axiom,
% 1.85/1.95 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) ).
% 1.85/1.95
% 1.85/1.95 cnf(cls_empty__is__image_0,axiom,
% 1.85/1.95 ( c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)) != c_Set_Oimage(V_f,V_A,T_b,T_a)
% 1.85/1.95 | V_A = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_bool)) ) ).
% 1.85/1.95
% 1.85/1.95 cnf(cls_bot__fun__eq_0,axiom,
% 1.85/1.95 ( ~ class_Orderings_Obot(T_b)
% 1.85/1.95 | hAPP(c_Orderings_Obot__class_Obot(tc_fun(t_a,T_b)),v_x) = c_Orderings_Obot__class_Obot(T_b) ) ).
% 1.85/1.95
% 1.85/1.95 cnf(cls_invKey__eq_0,axiom,
% 1.85/1.95 ( hAPP(c_Message_OinvKey,V_K) != hAPP(c_Message_OinvKey,V_K_H)
% 1.85/1.95 | V_K = V_K_H ) ).
% 1.85/1.95
% 1.85/1.95 cnf(cls_privateKey__neq__publicKey_0,axiom,
% 1.85/1.95 hAPP(c_Message_OinvKey,hAPP(c_Public_OpublicKey(V_b),V_A)) != hAPP(c_Public_OpublicKey(V_c),V_A_H) ).
% 1.85/1.95
% 1.85/1.95 cnf(cls_singletonE_0,axiom,
% 1.85/1.95 ( V_b = V_a
% 1.85/1.95 | ~ hBOOL(c_in(V_b,c_Set_Oinsert(V_a,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),T_a)) ) ).
% 1.85/1.95
% 1.85/1.95 cnf(cls_set__empty_1,axiom,
% 1.85/1.95 c_List_Oset(c_List_Olist_ONil(T_a),T_a) = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)) ).
% 1.85/1.95
% 1.85/1.95 cnf(cls_sup__fun__eq_0,axiom,
% 1.85/1.95 ( ~ class_Lattices_Olattice(T_b)
% 1.85/1.95 | 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) ) ).
% 1.85/1.95
% 1.85/1.95 cnf(cls_Un__absorb_0,axiom,
% 1.85/1.95 c_Lattices_Oupper__semilattice__class_Osup(V_A,V_A,tc_fun(T_a,tc_bool)) = V_A ).
% 1.85/1.95
% 1.85/1.95 cnf(cls_sup__idem_0,axiom,
% 1.85/1.95 ( ~ class_Lattices_Oupper__semilattice(T_a)
% 1.85/1.95 | c_Lattices_Oupper__semilattice__class_Osup(V_x,V_x,T_a) = V_x ) ).
% 1.85/1.95
% 1.85/1.95 cnf(cls_parts__synth_0,axiom,
% 1.85/1.95 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)) ).
% 1.85/1.95
% 1.85/1.95 cnf(cls_synth__subset__iff_1,axiom,
% 1.85/1.95 ( c_lessequals(c_Message_Osynth(V_G),c_Message_Osynth(V_H),tc_fun(tc_Message_Omsg,tc_bool))
% 1.85/1.95 | ~ c_lessequals(V_G,c_Message_Osynth(V_H),tc_fun(tc_Message_Omsg,tc_bool)) ) ).
% 1.85/1.95
% 1.85/1.95 cnf(cls_synth__subset__iff_0,axiom,
% 1.85/1.95 ( c_lessequals(V_G,c_Message_Osynth(V_H),tc_fun(tc_Message_Omsg,tc_bool))
% 1.85/1.95 | ~ c_lessequals(c_Message_Osynth(V_G),c_Message_Osynth(V_H),tc_fun(tc_Message_Omsg,tc_bool)) ) ).
% 1.85/1.95
% 1.85/1.95 cnf(cls_parts__insert2_0,axiom,
% 1.85/1.95 c_Message_Oparts(c_Set_Oinsert(V_X,c_Set_Oinsert(V_Y,V_H,tc_Message_Omsg),tc_Message_Omsg)) = c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Oupper__semilattice__class_Osup(c_Message_Oparts(c_Set_Oinsert(V_X,c_Orderings_Obot__class_Obot(tc_fun(tc_Message_Omsg,tc_bool)),tc_Message_Omsg)),c_Message_Oparts(c_Set_Oinsert(V_Y,c_Orderings_Obot__class_Obot(tc_fun(tc_Message_Omsg,tc_bool)),tc_Message_Omsg)),tc_fun(tc_Message_Omsg,tc_bool)),c_Message_Oparts(V_H),tc_fun(tc_Message_Omsg,tc_bool)) ).
% 1.85/1.95
% 1.85/1.95 cnf(cls_doubleton__eq__iff_4,axiom,
% 1.85/1.95 c_Set_Oinsert(V_xa,c_Set_Oinsert(V_x,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),T_a) = c_Set_Oinsert(V_x,c_Set_Oinsert(V_xa,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),T_a) ).
% 1.85/1.95
% 1.85/1.95 cnf(cls_Fake__analz__insert_0,axiom,
% 1.85/1.95 ( 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))
% 1.85/1.95 | ~ hBOOL(c_in(V_X,c_Message_Osynth(c_Message_Oanalz(V_G)),tc_Message_Omsg)) ) ).
% 1.85/1.95
% 1.85/1.95 cnf(cls_image__empty_0,axiom,
% 1.85/1.95 c_Set_Oimage(V_f,c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_bool)),T_b,T_a) = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)) ).
% 1.85/1.95
% 1.85/1.95 cnf(cls_sorted_Osimps_I1_J_0,axiom,
% 1.85/1.95 ( ~ class_Orderings_Olinorder(T_a)
% 1.85/1.95 | c_List_Olinorder__class_Osorted(c_List_Olist_ONil(T_a),T_a) ) ).
% 1.85/1.95
% 1.85/1.95 cnf(cls_Un__left__commute_0,axiom,
% 1.85/1.95 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)) ).
% 1.85/1.95
% 1.85/1.95 cnf(cls_Un__assoc_0,axiom,
% 1.85/1.95 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)) ).
% 1.85/1.95
% 1.85/1.95 cnf(cls_sup__assoc_0,axiom,
% 1.85/1.95 ( ~ class_Lattices_Oupper__semilattice(T_a)
% 1.85/1.95 | 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) ) ).
% 1.85/1.95
% 1.85/1.95 cnf(cls_sup__left__commute_0,axiom,
% 1.85/1.95 ( ~ class_Lattices_Oupper__semilattice(T_a)
% 1.85/1.95 | 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) ) ).
% 1.85/1.95
% 1.85/1.95 cnf(cls_analz__image__freshK__simps_I65_J_0,axiom,
% 1.85/1.95 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)) ).
% 1.85/1.95
% 1.85/1.95 cnf(cls_inf__sup__aci_I7_J_0,axiom,
% 1.85/1.95 ( ~ class_Lattices_Olattice(T_a)
% 1.85/1.95 | 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) ) ).
% 1.85/1.95
% 1.85/1.95 cnf(cls_inf__sup__aci_I6_J_0,axiom,
% 1.85/1.95 ( ~ class_Lattices_Olattice(T_a)
% 1.85/1.95 | 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) ) ).
% 1.85/1.95
% 1.85/1.95 cnf(cls_Un__subset__iff_2,axiom,
% 1.85/1.95 ( 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))
% 1.85/1.95 | ~ c_lessequals(V_B,V_C,tc_fun(T_a,tc_bool))
% 1.85/1.95 | ~ c_lessequals(V_A,V_C,tc_fun(T_a,tc_bool)) ) ).
% 1.85/1.95
% 1.85/1.95 cnf(cls_Un__upper2_0,axiom,
% 1.85/1.95 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)) ).
% 1.85/1.95
% 1.85/1.95 cnf(cls_Un__upper1_0,axiom,
% 1.85/1.95 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)) ).
% 1.85/1.95
% 1.85/1.95 cnf(cls_Un__least_0,axiom,
% 1.85/1.95 ( 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))
% 1.85/1.95 | ~ c_lessequals(V_B,V_C,tc_fun(T_a,tc_bool))
% 1.85/1.95 | ~ c_lessequals(V_A,V_C,tc_fun(T_a,tc_bool)) ) ).
% 1.85/1.95
% 1.85/1.95 cnf(cls_le__supI_0,axiom,
% 1.85/1.95 ( ~ class_Lattices_Oupper__semilattice(T_a)
% 1.85/1.95 | c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(V_a,V_b,T_a),V_x,T_a)
% 1.85/1.95 | ~ c_lessequals(V_b,V_x,T_a)
% 1.85/1.95 | ~ c_lessequals(V_a,V_x,T_a) ) ).
% 1.85/1.95
% 1.85/1.95 cnf(cls_sup__ge1_0,axiom,
% 1.85/1.95 ( ~ class_Lattices_Oupper__semilattice(T_a)
% 1.85/1.95 | c_lessequals(V_x,c_Lattices_Oupper__semilattice__class_Osup(V_x,V_y,T_a),T_a) ) ).
% 1.85/1.95
% 1.85/1.95 cnf(cls_sup__ge2_0,axiom,
% 1.85/1.95 ( ~ class_Lattices_Oupper__semilattice(T_a)
% 1.85/1.95 | c_lessequals(V_y,c_Lattices_Oupper__semilattice__class_Osup(V_x,V_y,T_a),T_a) ) ).
% 1.85/1.95
% 1.85/1.95 cnf(cls_sup__least_0,axiom,
% 1.85/1.95 ( ~ class_Lattices_Oupper__semilattice(T_a)
% 1.85/1.95 | c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(V_y,V_z,T_a),V_x,T_a)
% 1.85/1.95 | ~ c_lessequals(V_z,V_x,T_a)
% 1.85/1.95 | ~ c_lessequals(V_y,V_x,T_a) ) ).
% 1.85/1.95
% 1.85/1.95 cnf(cls_le__sup__iff_2,axiom,
% 1.85/1.95 ( ~ class_Lattices_Oupper__semilattice(T_a)
% 1.85/1.95 | c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(V_x,V_y,T_a),V_z,T_a)
% 1.85/1.95 | ~ c_lessequals(V_y,V_z,T_a)
% 1.85/1.95 | ~ c_lessequals(V_x,V_z,T_a) ) ).
% 1.85/1.95
% 1.85/1.95 cnf(cls_inf__sup__ord_I4_J_0,axiom,
% 1.85/1.95 ( ~ class_Lattices_Olattice(T_a)
% 1.85/1.95 | c_lessequals(V_y,c_Lattices_Oupper__semilattice__class_Osup(V_x,V_y,T_a),T_a) ) ).
% 1.85/1.95
% 1.85/1.95 cnf(cls_inf__sup__ord_I3_J_0,axiom,
% 1.85/1.95 ( ~ class_Lattices_Olattice(T_a)
% 1.85/1.95 | c_lessequals(V_x,c_Lattices_Oupper__semilattice__class_Osup(V_x,V_y,T_a),T_a) ) ).
% 1.85/1.95
% 1.85/1.95 cnf(cls_sorted_Osimps_I3_J_1,axiom,
% 1.85/1.95 ( ~ class_Orderings_Olinorder(T_a)
% 1.85/1.95 | c_List_Olinorder__class_Osorted(c_List_Olist_OCons(V_y,V_zs,T_a),T_a)
% 1.85/1.95 | ~ 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) ) ).
% 1.85/1.95
% 1.85/1.95 cnf(cls_singleton__inject_0,axiom,
% 1.85/1.95 ( c_Set_Oinsert(V_a,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a) != c_Set_Oinsert(V_b,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a)
% 1.85/1.95 | V_a = V_b ) ).
% 1.85/1.95
% 1.85/1.95 cnf(cls_comm__monoid__add_Ononempty__iff_2,axiom,
% 1.85/1.95 ( c_Set_Oinsert(V_x,V_xa,T_a) != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))
% 1.85/1.95 | hBOOL(c_in(V_x,V_xa,T_a)) ) ).
% 1.85/1.95
% 1.85/1.95 cnf(cls_neq__Nil__conv_1,axiom,
% 1.85/1.95 c_List_Olist_OCons(V_x,V_xa,T_a) != c_List_Olist_ONil(T_a) ).
% 1.85/1.95
% 1.85/1.95 cnf(cls_list_Osimps_I3_J_0,axiom,
% 1.85/1.95 c_List_Olist_OCons(V_a_H,V_list_H,T_a) != c_List_Olist_ONil(T_a) ).
% 1.85/1.95
% 1.85/1.95 cnf(cls_Un__empty_1,axiom,
% 1.85/1.95 ( c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_a,tc_bool)) != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))
% 1.85/1.95 | V_B = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)) ) ).
% 1.85/1.95
% 1.85/1.95 cnf(cls_Un__empty_0,axiom,
% 1.85/1.95 ( c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_a,tc_bool)) != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))
% 1.85/1.95 | V_A = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)) ) ).
% 1.85/1.95
% 1.85/1.95 cnf(cls_sup__eq__bot__eq1_0,axiom,
% 1.85/1.95 ( ~ class_Lattices_Obounded__lattice(T_a)
% 1.85/1.95 | c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,T_a) != c_Orderings_Obot__class_Obot(T_a)
% 1.85/1.95 | V_A = c_Orderings_Obot__class_Obot(T_a) ) ).
% 1.85/1.95
% 1.85/1.95 cnf(cls_sup__eq__bot__eq2_0,axiom,
% 1.85/1.95 ( ~ class_Lattices_Obounded__lattice(T_a)
% 1.85/1.95 | c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,T_a) != c_Orderings_Obot__class_Obot(T_a)
% 1.85/1.95 | V_B = c_Orderings_Obot__class_Obot(T_a) ) ).
% 1.85/1.95
% 1.85/1.95 cnf(cls_sorted__Cons_0,axiom,
% 1.85/1.95 ( ~ class_Orderings_Olinorder(T_a)
% 1.85/1.95 | c_List_Olinorder__class_Osorted(V_xs,T_a)
% 1.85/1.95 | ~ c_List_Olinorder__class_Osorted(c_List_Olist_OCons(V_x,V_xs,T_a),T_a) ) ).
% 1.85/1.95
% 1.85/1.95 cnf(cls_Un__commute_0,axiom,
% 1.85/1.95 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)) ).
% 1.85/1.95
% 1.85/1.95 cnf(cls_sup__commute_0,axiom,
% 1.85/1.95 ( ~ class_Lattices_Oupper__semilattice(T_a)
% 1.85/1.95 | c_Lattices_Oupper__semilattice__class_Osup(V_x,V_y,T_a) = c_Lattices_Oupper__semilattice__class_Osup(V_y,V_x,T_a) ) ).
% 1.85/1.95
% 1.85/1.95 cnf(cls_inf__sup__aci_I5_J_0,axiom,
% 1.85/1.95 ( ~ class_Lattices_Olattice(T_a)
% 1.85/1.95 | c_Lattices_Oupper__semilattice__class_Osup(V_x,V_y,T_a) = c_Lattices_Oupper__semilattice__class_Osup(V_y,V_x,T_a) ) ).
% 1.85/1.95
% 1.85/1.95 cnf(cls_insert__is__Un_0,axiom,
% 1.85/1.95 c_Set_Oinsert(V_a,V_A,T_a) = c_Lattices_Oupper__semilattice__class_Osup(c_Set_Oinsert(V_a,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),V_A,tc_fun(T_a,tc_bool)) ).
% 1.85/1.95
% 1.85/1.95 cnf(cls_Un__left__absorb_0,axiom,
% 1.85/1.95 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)) ).
% 1.85/1.95
% 1.85/1.95 cnf(cls_sup__left__idem_0,axiom,
% 1.85/1.95 ( ~ class_Lattices_Oupper__semilattice(T_a)
% 1.85/1.95 | 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) ) ).
% 1.85/1.95
% 1.85/1.95 cnf(cls_inf__sup__aci_I8_J_0,axiom,
% 1.85/1.95 ( ~ class_Lattices_Olattice(T_a)
% 1.85/1.95 | 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) ) ).
% 1.85/1.95
% 1.85/1.95 cnf(cls_synth__idem_0,axiom,
% 1.85/1.95 c_Message_Osynth(c_Message_Osynth(V_H)) = c_Message_Osynth(V_H) ).
% 1.85/1.95
% 1.85/1.95 cnf(cls_analz__synth_0,axiom,
% 1.85/1.95 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)) ).
% 1.85/1.95
% 1.85/1.95 cnf(cls_empty__is__image_1,axiom,
% 1.85/1.95 c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)) = c_Set_Oimage(V_f,c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_bool)),T_b,T_a) ).
% 1.85/1.95
% 1.85/1.95 cnf(cls_sorted_Osimps_I2_J_0,axiom,
% 1.85/1.95 ( ~ class_Orderings_Olinorder(T_a)
% 1.85/1.95 | c_List_Olinorder__class_Osorted(c_List_Olist_OCons(V_x,c_List_Olist_ONil(T_a),T_a),T_a) ) ).
% 1.85/1.95
% 1.85/1.95 cnf(cls_Fake__parts__sing__imp__Un_0,axiom,
% 1.85/1.95 ( hBOOL(c_in(V_c,c_Lattices_Oupper__semilattice__class_Osup(c_Message_Osynth(c_Message_Oanalz(V_H)),c_Message_Oparts(V_H),tc_fun(tc_Message_Omsg,tc_bool)),tc_Message_Omsg))
% 1.85/1.95 | ~ hBOOL(c_in(V_X,c_Message_Osynth(c_Message_Oanalz(V_H)),tc_Message_Omsg))
% 1.85/1.95 | ~ hBOOL(c_in(V_c,c_Message_Oparts(c_Set_Oinsert(V_X,c_Orderings_Obot__class_Obot(tc_fun(tc_Message_Omsg,tc_bool)),tc_Message_Omsg)),tc_Message_Omsg)) ) ).
% 1.85/1.95
% 1.85/1.95 cnf(cls_UnCI_1,axiom,
% 1.85/1.95 ( hBOOL(c_in(V_c,c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_a,tc_bool)),T_a))
% 1.85/1.95 | ~ hBOOL(c_in(V_c,V_A,T_a)) ) ).
% 1.85/1.95
% 1.85/1.95 cnf(cls_UnCI_0,axiom,
% 1.85/1.95 ( hBOOL(c_in(V_c,c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_a,tc_bool)),T_a))
% 1.85/1.95 | ~ hBOOL(c_in(V_c,V_B,T_a)) ) ).
% 1.85/1.95
% 1.85/1.95 cnf(cls_ex__in__conv_0,axiom,
% 1.85/1.95 ~ hBOOL(c_in(V_x,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a)) ).
% 1.85/1.96
% 1.85/1.96 cnf(cls_ball__empty_0,axiom,
% 1.85/1.96 ( hBOOL(hAPP(V_P,V_x))
% 1.85/1.96 | ~ hBOOL(c_in(V_x,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a)) ) ).
% 1.85/1.96
% 1.85/1.96 cnf(cls_empty__iff_0,axiom,
% 1.85/1.96 ~ hBOOL(c_in(V_c,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a)) ).
% 1.85/1.96
% 1.85/1.96 cnf(cls_emptyE_0,axiom,
% 1.85/1.96 ~ hBOOL(c_in(V_a,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a)) ).
% 1.85/1.96
% 1.85/1.96 cnf(cls_UnE_0,axiom,
% 1.85/1.96 ( hBOOL(c_in(V_c,V_B,T_a))
% 1.85/1.96 | hBOOL(c_in(V_c,V_A,T_a))
% 1.85/1.96 | ~ hBOOL(c_in(V_c,c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_a,tc_bool)),T_a)) ) ).
% 1.85/1.96
% 1.85/1.96 cnf(cls_bex__empty_0,axiom,
% 1.85/1.96 ( ~ hBOOL(hAPP(V_P,V_x))
% 1.85/1.96 | ~ hBOOL(c_in(V_x,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a)) ) ).
% 1.85/1.96
% 1.85/1.96 cnf(cls_synth_OInj_0,axiom,
% 1.85/1.96 ( hBOOL(c_in(V_X,c_Message_Osynth(V_H),tc_Message_Omsg))
% 1.85/1.96 | ~ hBOOL(c_in(V_X,V_H,tc_Message_Omsg)) ) ).
% 1.85/1.96
% 1.85/1.96 cnf(cls_synth__synthD_0,axiom,
% 1.85/1.96 ( hBOOL(c_in(V_X,c_Message_Osynth(V_H),tc_Message_Omsg))
% 1.85/1.96 | ~ hBOOL(c_in(V_X,c_Message_Osynth(c_Message_Osynth(V_H)),tc_Message_Omsg)) ) ).
% 1.85/1.96
% 1.85/1.96 cnf(cls_Fake__parts__insert__in__Un_0,axiom,
% 1.85/1.96 ( 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))
% 1.85/1.96 | ~ hBOOL(c_in(V_X,c_Message_Osynth(c_Message_Oanalz(V_H)),tc_Message_Omsg))
% 1.85/1.96 | ~ hBOOL(c_in(V_Z,c_Message_Oparts(c_Set_Oinsert(V_X,V_H,tc_Message_Omsg)),tc_Message_Omsg)) ) ).
% 1.85/1.96
% 1.85/1.96 cnf(cls_parts__Un_0,axiom,
% 1.85/1.96 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)) ).
% 1.85/1.96
% 1.85/1.96 cnf(cls_parts__empty_0,axiom,
% 1.85/1.96 c_Message_Oparts(c_Orderings_Obot__class_Obot(tc_fun(tc_Message_Omsg,tc_bool))) = c_Orderings_Obot__class_Obot(tc_fun(tc_Message_Omsg,tc_bool)) ).
% 1.85/1.96
% 1.85/1.96 cnf(cls_analz__empty_0,axiom,
% 1.85/1.96 c_Message_Oanalz(c_Orderings_Obot__class_Obot(tc_fun(tc_Message_Omsg,tc_bool))) = c_Orderings_Obot__class_Obot(tc_fun(tc_Message_Omsg,tc_bool)) ).
% 1.85/1.96
% 1.85/1.96 cnf(cls_analz__analz__Un_0,axiom,
% 1.85/1.96 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))) ).
% 1.85/1.96
% 1.85/1.96 cnf(cls_analz__cong_0,axiom,
% 1.85/1.96 ( c_Message_Oanalz(V_H) != c_Message_Oanalz(V_H_H)
% 1.85/1.96 | c_Message_Oanalz(V_G) != c_Message_Oanalz(V_G_H)
% 1.85/1.96 | 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))) ) ).
% 1.85/1.96
% 1.85/1.96 cnf(cls_parts__insert__spies_0,axiom,
% 1.85/1.96 c_Message_Oparts(c_Set_Oinsert(V_X,c_Event_Oknows(c_Message_Oagent_OSpy,V_evs),tc_Message_Omsg)) = c_Lattices_Oupper__semilattice__class_Osup(c_Message_Oparts(c_Set_Oinsert(V_X,c_Orderings_Obot__class_Obot(tc_fun(tc_Message_Omsg,tc_bool)),tc_Message_Omsg)),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,V_evs)),tc_fun(tc_Message_Omsg,tc_bool)) ).
% 1.85/1.96
% 1.85/1.96 cnf(cls_invKey__shrK_0,axiom,
% 1.85/1.96 hAPP(c_Message_OinvKey,hAPP(c_Public_OshrK,V_A)) = hAPP(c_Public_OshrK,V_A) ).
% 1.85/1.96
% 1.85/1.96 cnf(cls_keysFor__parts__insert_0,axiom,
% 1.85/1.96 ( hBOOL(c_in(hAPP(c_Message_Omsg_OKey,hAPP(c_Message_OinvKey,V_K)),c_Message_Oparts(V_H),tc_Message_Omsg))
% 1.85/1.96 | 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))
% 1.85/1.96 | ~ hBOOL(c_in(V_X,c_Message_Osynth(c_Message_Oanalz(V_H)),tc_Message_Omsg))
% 1.85/1.96 | ~ hBOOL(c_in(V_K,c_Message_OkeysFor(c_Message_Oparts(c_Set_Oinsert(V_X,V_G,tc_Message_Omsg))),tc_nat)) ) ).
% 1.85/1.96
% 1.85/1.96 cnf(cls_Fake__parts__insert_0,axiom,
% 1.85/1.96 ( 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))
% 1.85/1.96 | ~ hBOOL(c_in(V_X,c_Message_Osynth(c_Message_Oanalz(V_H)),tc_Message_Omsg)) ) ).
% 1.85/1.96
% 1.85/1.96 cnf(cls_used__Says_0,axiom,
% 1.85/1.96 c_Event_Oused(c_List_Olist_OCons(c_Event_Oevent_OSays(V_A,V_B,V_X),V_evs,tc_Event_Oevent)) = c_Lattices_Oupper__semilattice__class_Osup(c_Message_Oparts(c_Set_Oinsert(V_X,c_Orderings_Obot__class_Obot(tc_fun(tc_Message_Omsg,tc_bool)),tc_Message_Omsg)),c_Event_Oused(V_evs),tc_fun(tc_Message_Omsg,tc_bool)) ).
% 1.85/1.96
% 1.85/1.96 cnf(cls_used__Notes_0,axiom,
% 1.85/1.96 c_Event_Oused(c_List_Olist_OCons(c_Event_Oevent_ONotes(V_A,V_X),V_evs,tc_Event_Oevent)) = c_Lattices_Oupper__semilattice__class_Osup(c_Message_Oparts(c_Set_Oinsert(V_X,c_Orderings_Obot__class_Obot(tc_fun(tc_Message_Omsg,tc_bool)),tc_Message_Omsg)),c_Event_Oused(V_evs),tc_fun(tc_Message_Omsg,tc_bool)) ).
% 1.85/1.96
% 1.85/1.96 cnf(cls_MPair__synth__analz_1,axiom,
% 1.85/1.96 ( hBOOL(c_in(V_Y,c_Message_Osynth(c_Message_Oanalz(V_H)),tc_Message_Omsg))
% 1.85/1.96 | ~ hBOOL(c_in(c_Message_Omsg_OMPair(V_X,V_Y),c_Message_Osynth(c_Message_Oanalz(V_H)),tc_Message_Omsg)) ) ).
% 1.85/1.96
% 1.85/1.96 cnf(cls_MPair__synth__analz_0,axiom,
% 1.85/1.96 ( hBOOL(c_in(V_X,c_Message_Osynth(c_Message_Oanalz(V_H)),tc_Message_Omsg))
% 1.85/1.96 | ~ hBOOL(c_in(c_Message_Omsg_OMPair(V_X,V_Y),c_Message_Osynth(c_Message_Oanalz(V_H)),tc_Message_Omsg)) ) ).
% 1.85/1.96
% 1.85/1.96 cnf(cls_MPair__synth__analz_2,axiom,
% 1.85/1.96 ( hBOOL(c_in(c_Message_Omsg_OMPair(V_X,V_Y),c_Message_Osynth(c_Message_Oanalz(V_H)),tc_Message_Omsg))
% 1.85/1.96 | ~ hBOOL(c_in(V_Y,c_Message_Osynth(c_Message_Oanalz(V_H)),tc_Message_Omsg))
% 1.85/1.96 | ~ hBOOL(c_in(V_X,c_Message_Osynth(c_Message_Oanalz(V_H)),tc_Message_Omsg)) ) ).
% 1.85/1.96
% 1.85/1.96 cnf(cls_Crypt__notin__initState_0,axiom,
% 1.85/1.96 ~ hBOOL(c_in(c_Message_Omsg_OCrypt(V_K,V_X),c_Message_Oparts(c_Event_OinitState(V_B)),tc_Message_Omsg)) ).
% 1.85/1.96
% 1.85/1.96 cnf(cls_Crypt__notin__image__Key_0,axiom,
% 1.85/1.96 ~ 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)) ).
% 1.85/1.96
% 1.85/1.96 cnf(cls_Crypt__synth__eq_1,axiom,
% 1.85/1.96 ( hBOOL(c_in(c_Message_Omsg_OCrypt(V_K,V_X),c_Message_Osynth(V_H),tc_Message_Omsg))
% 1.85/1.96 | ~ hBOOL(c_in(c_Message_Omsg_OCrypt(V_K,V_X),V_H,tc_Message_Omsg))
% 1.85/1.96 | hBOOL(c_in(hAPP(c_Message_Omsg_OKey,V_K),V_H,tc_Message_Omsg)) ) ).
% 1.85/1.96
% 1.85/1.96 cnf(cls_Crypt__synth__eq_0,axiom,
% 1.85/1.96 ( hBOOL(c_in(c_Message_Omsg_OCrypt(V_K,V_X),V_H,tc_Message_Omsg))
% 1.85/1.96 | ~ hBOOL(c_in(c_Message_Omsg_OCrypt(V_K,V_X),c_Message_Osynth(V_H),tc_Message_Omsg))
% 1.85/1.96 | hBOOL(c_in(hAPP(c_Message_Omsg_OKey,V_K),V_H,tc_Message_Omsg)) ) ).
% 1.85/1.96
% 1.85/1.96 cnf(cls_analz__image__freshK_1,axiom,
% 1.85/1.96 ( 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))
% 1.85/1.96 | ~ hBOOL(c_in(V_K,V_KK,tc_nat))
% 1.85/1.96 | ~ 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))
% 1.85/1.96 | ~ hBOOL(c_in(V_evs,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))) ) ).
% 1.85/1.96
% 1.85/1.96 cnf(cls_analz__image__freshK_0,axiom,
% 1.85/1.96 ( 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))
% 1.85/1.96 | hBOOL(c_in(V_K,V_KK,tc_nat))
% 1.85/1.96 | ~ 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))
% 1.85/1.96 | ~ 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))
% 1.85/1.96 | ~ hBOOL(c_in(V_evs,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))) ) ).
% 1.85/1.96
% 1.85/1.96 cnf(cls_initState__Server_0,axiom,
% 1.85/1.96 c_Event_OinitState(c_Message_Oagent_OServer) = c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Oupper__semilattice__class_Osup(c_Set_Oinsert(hAPP(c_Message_Omsg_OKey,hAPP(c_Message_OinvKey,hAPP(c_Public_OpublicKey(c_Public_Okeymode_OEncryption),c_Message_Oagent_OServer))),c_Set_Oinsert(hAPP(c_Message_Omsg_OKey,hAPP(c_Message_OinvKey,hAPP(c_Public_OpublicKey(c_Public_Okeymode_OSignature),c_Message_Oagent_OServer))),c_Orderings_Obot__class_Obot(tc_fun(tc_Message_Omsg,tc_bool)),tc_Message_Omsg),tc_Message_Omsg),c_Set_Oimage(c_Message_Omsg_OKey,c_Set_Oimage(c_Public_OpublicKey(c_Public_Okeymode_OEncryption),c_Orderings_Otop__class_Otop(tc_fun(tc_Message_Oagent,tc_bool)),tc_Message_Oagent,tc_nat),tc_nat,tc_Message_Omsg),tc_fun(tc_Message_Omsg,tc_bool)),c_Set_Oimage(c_Message_Omsg_OKey,c_Set_Oimage(c_Public_OpublicKey(c_Public_Okeymode_OSignature),c_Orderings_Otop__class_Otop(tc_fun(tc_Message_Oagent,tc_bool)),tc_Message_Oagent,tc_nat),tc_nat,tc_Message_Omsg),tc_fun(tc_Message_Omsg,tc_bool)),c_Set_Oimage(c_Message_Omsg_OKey,c_Set_Oimage(c_Public_OshrK,c_Orderings_Otop__class_Otop(tc_fun(tc_Message_Oagent,tc_bool)),tc_Message_Oagent,tc_nat),tc_nat,tc_Message_Omsg),tc_fun(tc_Message_Omsg,tc_bool)) ).
% 1.85/1.96
% 1.85/1.96 cnf(cls_analz__image__freshK_2,axiom,
% 1.85/1.96 ( 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))
% 1.85/1.96 | ~ 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))
% 1.85/1.96 | ~ 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))
% 1.85/1.96 | ~ hBOOL(c_in(V_evs,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))) ) ).
% 1.85/1.96
% 1.85/1.96 cnf(cls_sup__top__right_0,axiom,
% 1.85/1.96 ( ~ class_Lattices_Obounded__lattice(T_a)
% 1.85/1.96 | c_Lattices_Oupper__semilattice__class_Osup(V_x,c_Orderings_Otop__class_Otop(T_a),T_a) = c_Orderings_Otop__class_Otop(T_a) ) ).
% 1.85/1.96
% 1.85/1.96 cnf(cls_sup__top__left_0,axiom,
% 1.85/1.96 ( ~ class_Lattices_Obounded__lattice(T_a)
% 1.85/1.96 | c_Lattices_Oupper__semilattice__class_Osup(c_Orderings_Otop__class_Otop(T_a),V_x,T_a) = c_Orderings_Otop__class_Otop(T_a) ) ).
% 1.85/1.96
% 1.85/1.96 cnf(cls_Un__UNIV__left_0,axiom,
% 1.85/1.96 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)) ).
% 1.85/1.96
% 1.85/1.96 cnf(cls_Un__UNIV__right_0,axiom,
% 1.85/1.96 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)) ).
% 1.85/1.96
% 1.85/1.96 cnf(cls_insert__not__empty_0,axiom,
% 1.85/1.96 c_Set_Oinsert(V_a,V_A,T_a) != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)) ).
% 1.85/1.96
% 1.85/1.96 cnf(cls_analz__synth__Un_0,axiom,
% 1.85/1.96 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)) ).
% 1.85/1.96
% 1.85/1.96 cnf(cls_Fake__parts__sing_0,axiom,
% 1.85/1.96 ( c_lessequals(c_Message_Oparts(c_Set_Oinsert(V_X,c_Orderings_Obot__class_Obot(tc_fun(tc_Message_Omsg,tc_bool)),tc_Message_Omsg)),c_Lattices_Oupper__semilattice__class_Osup(c_Message_Osynth(c_Message_Oanalz(V_H)),c_Message_Oparts(V_H),tc_fun(tc_Message_Omsg,tc_bool)),tc_fun(tc_Message_Omsg,tc_bool))
% 1.85/1.96 | ~ hBOOL(c_in(V_X,c_Message_Osynth(c_Message_Oanalz(V_H)),tc_Message_Omsg)) ) ).
% 1.85/1.96
% 1.85/1.96 cnf(cls_synth__insert_0,axiom,
% 1.85/1.96 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)) ).
% 1.85/1.96
% 1.85/1.96 cnf(cls_set__empty2_0,axiom,
% 1.85/1.96 ( c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)) != c_List_Oset(V_xs,T_a)
% 1.85/1.96 | V_xs = c_List_Olist_ONil(T_a) ) ).
% 1.85/1.96
% 1.85/1.96 cnf(cls_sup1E_0,axiom,
% 1.85/1.96 ( hBOOL(hAPP(V_B,V_x))
% 1.85/1.96 | hBOOL(hAPP(V_A,V_x))
% 1.85/1.96 | ~ hBOOL(hAPP(c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_a,tc_bool)),V_x)) ) ).
% 1.85/1.96
% 1.85/1.96 cnf(cls_sup1CI_0,axiom,
% 1.85/1.96 ( hBOOL(hAPP(c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_a,tc_bool)),V_x))
% 1.85/1.96 | ~ hBOOL(hAPP(V_B,V_x)) ) ).
% 1.85/1.96
% 1.85/1.96 cnf(cls_sup1CI_1,axiom,
% 1.85/1.96 ( hBOOL(hAPP(c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_a,tc_bool)),V_x))
% 1.85/1.96 | ~ hBOOL(hAPP(V_A,V_x)) ) ).
% 1.85/1.96
% 1.85/1.96 cnf(cls_sup__bot__right_0,axiom,
% 1.85/1.96 ( ~ class_Lattices_Obounded__lattice(T_a)
% 1.85/1.96 | c_Lattices_Oupper__semilattice__class_Osup(V_x,c_Orderings_Obot__class_Obot(T_a),T_a) = V_x ) ).
% 1.85/1.96
% 1.85/1.96 cnf(cls_sup__bot__left_0,axiom,
% 1.85/1.96 ( ~ class_Lattices_Obounded__lattice(T_a)
% 1.85/1.96 | c_Lattices_Oupper__semilattice__class_Osup(c_Orderings_Obot__class_Obot(T_a),V_x,T_a) = V_x ) ).
% 1.85/1.96
% 1.85/1.96 cnf(cls_Un__empty__left_0,axiom,
% 1.85/1.96 c_Lattices_Oupper__semilattice__class_Osup(c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),V_B,tc_fun(T_a,tc_bool)) = V_B ).
% 1.85/1.96
% 1.85/1.96 cnf(cls_Un__empty__right_0,axiom,
% 1.85/1.96 c_Lattices_Oupper__semilattice__class_Osup(V_A,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)) = V_A ).
% 1.85/1.96
% 1.85/1.96 cnf(cls_ns__sharedp_ONil_0,axiom,
% 1.85/1.96 hBOOL(c_NS__Shared__Mirabelle_Ons__sharedp(c_List_Olist_ONil(tc_Event_Oevent))) ).
% 1.85/1.96
% 1.85/1.96 cnf(cls_synth__Un_0,axiom,
% 1.85/1.96 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)) ).
% 1.85/1.96
% 1.85/1.96 cnf(cls_bot1E_0,axiom,
% 1.85/1.96 ~ hBOOL(hAPP(c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),V_x)) ).
% 1.85/1.96
% 1.85/1.96 cnf(cls_UNIV__not__empty_0,axiom,
% 1.85/1.96 c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_bool)) != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)) ).
% 1.85/1.96
% 1.85/1.96 cnf(cls_parts__insert__knows__A_0,axiom,
% 1.85/1.96 c_Message_Oparts(c_Set_Oinsert(V_X,c_Event_Oknows(V_A,V_evs),tc_Message_Omsg)) = c_Lattices_Oupper__semilattice__class_Osup(c_Message_Oparts(c_Set_Oinsert(V_X,c_Orderings_Obot__class_Obot(tc_fun(tc_Message_Omsg,tc_bool)),tc_Message_Omsg)),c_Message_Oparts(c_Event_Oknows(V_A,V_evs)),tc_fun(tc_Message_Omsg,tc_bool)) ).
% 1.85/1.96
% 1.85/1.96 cnf(cls_sup__absorb1_0,axiom,
% 1.85/1.96 ( ~ class_Lattices_Oupper__semilattice(T_a)
% 1.85/1.96 | c_Lattices_Oupper__semilattice__class_Osup(V_x,V_y,T_a) = V_x
% 1.85/1.96 | ~ c_lessequals(V_y,V_x,T_a) ) ).
% 1.85/1.96
% 1.85/1.96 cnf(cls_le__iff__sup_1,axiom,
% 1.85/1.96 ( ~ class_Lattices_Oupper__semilattice(T_a)
% 1.85/1.96 | c_Lattices_Oupper__semilattice__class_Osup(V_x,V_y,T_a) != V_y
% 1.85/1.96 | c_lessequals(V_x,V_y,T_a) ) ).
% 1.85/1.96
% 1.85/1.96 cnf(cls_le__iff__sup_0,axiom,
% 1.85/1.96 ( ~ class_Lattices_Oupper__semilattice(T_a)
% 1.85/1.96 | c_Lattices_Oupper__semilattice__class_Osup(V_x,V_y,T_a) = V_y
% 1.85/1.96 | ~ c_lessequals(V_x,V_y,T_a) ) ).
% 1.85/1.96
% 1.85/1.96 cnf(cls_Un__absorb1_0,axiom,
% 1.85/1.96 ( c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_a,tc_bool)) = V_B
% 1.85/1.96 | ~ c_lessequals(V_A,V_B,tc_fun(T_a,tc_bool)) ) ).
% 1.85/1.96
% 1.85/1.96 cnf(cls_Un__absorb2_0,axiom,
% 1.85/1.96 ( c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_a,tc_bool)) = V_A
% 1.85/1.96 | ~ c_lessequals(V_B,V_A,tc_fun(T_a,tc_bool)) ) ).
% 1.85/1.96
% 1.85/1.96 cnf(cls_subset__Un__eq_1,axiom,
% 1.85/1.96 ( c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_a,tc_bool)) != V_B
% 1.85/1.96 | c_lessequals(V_A,V_B,tc_fun(T_a,tc_bool)) ) ).
% 1.85/1.96
% 1.85/1.96 cnf(cls_list_Osimps_I2_J_0,axiom,
% 1.85/1.96 c_List_Olist_ONil(T_a) != c_List_Olist_OCons(V_a_H,V_list_H,T_a) ).
% 1.85/1.96
% 1.85/1.96 cnf(cls_doubleton__eq__iff_0,axiom,
% 1.85/1.96 ( c_Set_Oinsert(V_a,c_Set_Oinsert(V_b,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),T_a) != c_Set_Oinsert(V_c,c_Set_Oinsert(V_d,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),T_a)
% 1.85/1.96 | V_a = V_d
% 1.85/1.96 | V_a = V_c ) ).
% 1.85/1.96
% 1.85/1.96 cnf(cls_doubleton__eq__iff_1,axiom,
% 1.85/1.96 ( c_Set_Oinsert(V_a,c_Set_Oinsert(V_b,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),T_a) != c_Set_Oinsert(V_c,c_Set_Oinsert(V_d,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),T_a)
% 1.85/1.96 | V_b = V_c
% 1.85/1.96 | V_a = V_c ) ).
% 1.85/1.96
% 1.85/1.96 cnf(cls_doubleton__eq__iff_2,axiom,
% 1.85/1.96 ( c_Set_Oinsert(V_a,c_Set_Oinsert(V_b,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),T_a) != c_Set_Oinsert(V_c,c_Set_Oinsert(V_d,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),T_a)
% 1.85/1.96 | V_a = V_d
% 1.85/1.96 | V_b = V_d ) ).
% 1.85/1.96
% 1.85/1.96 cnf(cls_doubleton__eq__iff_3,axiom,
% 1.85/1.96 ( c_Set_Oinsert(V_a,c_Set_Oinsert(V_b,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),T_a) != c_Set_Oinsert(V_c,c_Set_Oinsert(V_d,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),T_a)
% 1.85/1.96 | V_b = V_c
% 1.85/1.96 | V_b = V_d ) ).
% 1.85/1.96
% 1.85/1.96 cnf(cls_bot__empty__eq_0,axiom,
% 1.85/1.96 hAPP(c_Orderings_Obot__class_Obot(tc_fun(t_a,tc_bool)),v_x) = c_in(v_x,c_Orderings_Obot__class_Obot(tc_fun(t_a,tc_bool)),t_a) ).
% 1.85/1.96
% 1.85/1.96 cnf(cls_subset__empty_0,axiom,
% 1.85/1.96 ( V_A = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))
% 1.85/1.96 | ~ c_lessequals(V_A,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)) ) ).
% 1.85/1.96
% 1.85/1.96 cnf(cls_subset__empty_1,axiom,
% 1.85/1.96 c_lessequals(c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)) ).
% 1.85/1.96
% 1.85/1.96 cnf(cls_empty__not__insert_0,axiom,
% 1.85/1.96 c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)) != c_Set_Oinsert(V_a,V_A,T_a) ).
% 1.85/1.96
% 1.85/1.96 cnf(cls_analz__image__freshK__simps_I57_J_0,axiom,
% 1.85/1.96 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) ).
% 1.85/1.96
% 1.85/1.96 cnf(cls_Un__mono_0,axiom,
% 1.85/1.96 ( 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))
% 1.85/1.96 | ~ c_lessequals(V_B,V_D,tc_fun(T_a,tc_bool))
% 1.85/1.96 | ~ c_lessequals(V_A,V_C,tc_fun(T_a,tc_bool)) ) ).
% 1.85/1.96
% 1.85/1.96 cnf(cls_invKey_0,axiom,
% 1.85/1.96 hAPP(c_Message_OinvKey,hAPP(c_Message_OinvKey,V_K)) = V_K ).
% 1.85/1.96
% 1.85/1.96 cnf(cls_synth__increasing_0,axiom,
% 1.85/1.96 c_lessequals(V_H,c_Message_Osynth(V_H),tc_fun(tc_Message_Omsg,tc_bool)) ).
% 1.85/1.96
% 1.85/1.96 cnf(cls_set__empty2_1,axiom,
% 1.85/1.96 c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)) = c_List_Oset(c_List_Olist_ONil(T_a),T_a) ).
% 1.85/1.96
% 1.85/1.96 cnf(cls_knows__Nil_0,axiom,
% 1.85/1.96 c_Event_Oknows(V_A,c_List_Olist_ONil(tc_Event_Oevent)) = c_Event_OinitState(V_A) ).
% 1.85/1.96
% 1.85/1.96 cnf(cls_le__sup__iff_1,axiom,
% 1.85/1.96 ( ~ class_Lattices_Oupper__semilattice(T_a)
% 1.85/1.96 | c_lessequals(V_y,V_z,T_a)
% 1.85/1.96 | ~ c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(V_x,V_y,T_a),V_z,T_a) ) ).
% 1.85/1.96
% 1.85/1.96 cnf(cls_le__sup__iff_0,axiom,
% 1.85/1.96 ( ~ class_Lattices_Oupper__semilattice(T_a)
% 1.85/1.96 | c_lessequals(V_x,V_z,T_a)
% 1.85/1.96 | ~ c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(V_x,V_y,T_a),V_z,T_a) ) ).
% 1.85/1.96
% 1.85/1.96 cnf(cls_le__supI2_0,axiom,
% 1.85/1.96 ( ~ class_Lattices_Oupper__semilattice(T_a)
% 1.85/1.96 | c_lessequals(V_x,c_Lattices_Oupper__semilattice__class_Osup(V_a,V_b,T_a),T_a)
% 1.85/1.96 | ~ c_lessequals(V_x,V_b,T_a) ) ).
% 1.85/1.96
% 1.85/1.96 cnf(cls_le__supI1_0,axiom,
% 1.85/1.96 ( ~ class_Lattices_Oupper__semilattice(T_a)
% 1.85/1.96 | c_lessequals(V_x,c_Lattices_Oupper__semilattice__class_Osup(V_a,V_b,T_a),T_a)
% 1.85/1.96 | ~ c_lessequals(V_x,V_a,T_a) ) ).
% 1.85/1.96
% 1.85/1.96 cnf(cls_le__supE_1,axiom,
% 1.85/1.96 ( ~ class_Lattices_Oupper__semilattice(T_a)
% 1.85/1.96 | c_lessequals(V_b,V_x,T_a)
% 1.85/1.96 | ~ c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(V_a,V_b,T_a),V_x,T_a) ) ).
% 1.85/1.96
% 1.85/1.96 cnf(cls_le__supE_0,axiom,
% 1.85/1.96 ( ~ class_Lattices_Oupper__semilattice(T_a)
% 1.85/1.96 | c_lessequals(V_a,V_x,T_a)
% 1.85/1.96 | ~ c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(V_a,V_b,T_a),V_x,T_a) ) ).
% 1.85/1.96
% 1.85/1.96 cnf(cls_Un__subset__iff_0,axiom,
% 1.85/1.96 ( c_lessequals(V_A,V_C,tc_fun(T_a,tc_bool))
% 1.85/1.96 | ~ 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)) ) ).
% 1.85/1.96
% 1.85/1.96 cnf(cls_Un__subset__iff_1,axiom,
% 1.85/1.96 ( c_lessequals(V_B,V_C,tc_fun(T_a,tc_bool))
% 1.85/1.96 | ~ 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)) ) ).
% 1.85/1.96
% 1.85/1.96 cnf(cls_image__is__empty_0,axiom,
% 1.85/1.96 ( c_Set_Oimage(V_f,V_A,T_b,T_a) != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))
% 1.85/1.96 | V_A = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_bool)) ) ).
% 1.85/1.96
% 1.85/1.96 cnf(cls_parts__insert_0,axiom,
% 1.85/1.96 c_Message_Oparts(c_Set_Oinsert(V_X,V_H,tc_Message_Omsg)) = c_Lattices_Oupper__semilattice__class_Osup(c_Message_Oparts(c_Set_Oinsert(V_X,c_Orderings_Obot__class_Obot(tc_fun(tc_Message_Omsg,tc_bool)),tc_Message_Omsg)),c_Message_Oparts(V_H),tc_fun(tc_Message_Omsg,tc_bool)) ).
% 1.85/1.96
% 1.85/1.96 cnf(cls_singleton__iff_1,axiom,
% 1.85/1.96 hBOOL(c_in(V_x,c_Set_Oinsert(V_x,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),T_a)) ).
% 1.85/1.96
% 1.85/1.96 cnf(cls_subset__singletonD_0,axiom,
% 1.85/1.96 ( V_A = c_Set_Oinsert(V_x,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a)
% 1.85/1.96 | V_A = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))
% 1.85/1.96 | ~ c_lessequals(V_A,c_Set_Oinsert(V_x,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),tc_fun(T_a,tc_bool)) ) ).
% 1.85/1.96
% 1.85/1.96 cnf(cls_Un__empty_2,axiom,
% 1.85/1.96 c_Lattices_Oupper__semilattice__class_Osup(c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)) = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)) ).
% 1.85/1.96
% 1.85/1.96 cnf(cls_set__empty_0,axiom,
% 1.85/1.96 ( c_List_Oset(V_xs,T_a) != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))
% 1.85/1.96 | V_xs = c_List_Olist_ONil(T_a) ) ).
% 1.85/1.96
% 1.85/1.96 cnf(cls_image__Un_0,axiom,
% 1.85/1.96 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)) ).
% 1.85/1.96
% 1.85/1.96 cnf(cls_publicKey__neq__privateKey_0,axiom,
% 1.85/1.96 hAPP(c_Public_OpublicKey(V_c),V_A_H) != hAPP(c_Message_OinvKey,hAPP(c_Public_OpublicKey(V_b),V_A)) ).
% 1.85/1.96
% 1.85/1.96 cnf(cls_analz__image__freshK__lemma_5,axiom,
% 1.85/1.96 ( 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))
% 1.85/1.96 | ~ hBOOL(c_in(hAPP(c_Message_Omsg_OKey,V_K),c_Message_Oanalz(V_H),tc_Message_Omsg))
% 1.85/1.96 | ~ hBOOL(c_in(hAPP(c_Message_Omsg_OKey,V_K),c_Message_Oanalz(V_H),tc_Message_Omsg)) ) ).
% 1.85/1.96
% 1.85/1.96 cnf(cls_analz__image__freshK__lemma_1,axiom,
% 1.85/1.96 ( 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))
% 1.85/1.96 | ~ hBOOL(c_in(hAPP(c_Message_Omsg_OKey,V_K),c_Message_Oanalz(V_H),tc_Message_Omsg))
% 1.85/1.96 | 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)) ) ).
% 1.85/1.96
% 1.85/1.96 cnf(cls_priK__in__initState_0,axiom,
% 1.85/1.96 hBOOL(c_in(hAPP(c_Message_Omsg_OKey,hAPP(c_Message_OinvKey,hAPP(c_Public_OpublicKey(V_b),V_A))),c_Event_OinitState(V_A),tc_Message_Omsg)) ).
% 1.85/1.96
% 1.85/1.96 cnf(cls_sorted_Osimps_I3_J_0,axiom,
% 1.85/1.96 ( ~ class_Orderings_Olinorder(T_a)
% 1.85/1.96 | c_lessequals(V_x,V_y,T_a)
% 1.85/1.96 | ~ 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) ) ).
% 1.85/1.96
% 1.85/1.96 cnf(cls_sorted_Osimps_I3_J_2,axiom,
% 1.85/1.96 ( ~ class_Orderings_Olinorder(T_a)
% 1.85/1.96 | 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)
% 1.85/1.96 | ~ c_List_Olinorder__class_Osorted(c_List_Olist_OCons(V_y,V_zs,T_a),T_a)
% 1.85/1.96 | ~ c_lessequals(V_x,V_y,T_a) ) ).
% 1.85/1.96
% 1.85/1.96 cnf(cls_MPair__synth_0,axiom,
% 1.85/1.96 ( hBOOL(c_in(V_X,c_Message_Osynth(V_H),tc_Message_Omsg))
% 1.85/1.96 | hBOOL(c_in(c_Message_Omsg_OMPair(V_X,V_Y),V_H,tc_Message_Omsg))
% 1.85/1.96 | ~ hBOOL(c_in(c_Message_Omsg_OMPair(V_X,V_Y),c_Message_Osynth(V_H),tc_Message_Omsg)) ) ).
% 1.85/1.96
% 1.85/1.96 cnf(cls_MPair__synth_1,axiom,
% 1.85/1.96 ( hBOOL(c_in(V_Y,c_Message_Osynth(V_H),tc_Message_Omsg))
% 1.85/1.96 | hBOOL(c_in(c_Message_Omsg_OMPair(V_X,V_Y),V_H,tc_Message_Omsg))
% 1.85/1.96 | ~ hBOOL(c_in(c_Message_Omsg_OMPair(V_X,V_Y),c_Message_Osynth(V_H),tc_Message_Omsg)) ) ).
% 1.85/1.96
% 1.85/1.96 cnf(cls_synth_OMPair_0,axiom,
% 1.85/1.96 ( hBOOL(c_in(c_Message_Omsg_OMPair(V_X,V_Y),c_Message_Osynth(V_H),tc_Message_Omsg))
% 1.85/1.96 | ~ hBOOL(c_in(V_Y,c_Message_Osynth(V_H),tc_Message_Omsg))
% 1.85/1.96 | ~ hBOOL(c_in(V_X,c_Message_Osynth(V_H),tc_Message_Omsg)) ) ).
% 1.85/1.96
% 1.85/1.96 cnf(cls_parts__emptyE_0,axiom,
% 1.85/1.96 ~ hBOOL(c_in(V_X,c_Message_Oparts(c_Orderings_Obot__class_Obot(tc_fun(tc_Message_Omsg,tc_bool))),tc_Message_Omsg)) ).
% 1.85/1.96
% 1.85/1.96 cnf(cls_in__parts__UnE_0,axiom,
% 1.85/1.96 ( hBOOL(c_in(V_c,c_Message_Oparts(V_H),tc_Message_Omsg))
% 1.85/1.96 | hBOOL(c_in(V_c,c_Message_Oparts(V_G),tc_Message_Omsg))
% 1.85/1.96 | ~ 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)) ) ).
% 1.85/1.96
% 1.85/1.96 cnf(cls_Crypt__synth_0,axiom,
% 1.85/1.96 ( hBOOL(c_in(V_X,c_Message_Osynth(V_H),tc_Message_Omsg))
% 1.85/1.96 | hBOOL(c_in(c_Message_Omsg_OCrypt(V_K,V_X),V_H,tc_Message_Omsg))
% 1.85/1.96 | ~ hBOOL(c_in(c_Message_Omsg_OCrypt(V_K,V_X),c_Message_Osynth(V_H),tc_Message_Omsg)) ) ).
% 1.85/1.96
% 1.85/1.96 cnf(cls_Key__synth_0,axiom,
% 1.85/1.96 ( hBOOL(c_in(hAPP(c_Message_Omsg_OKey,V_K),V_H,tc_Message_Omsg))
% 1.85/1.96 | ~ hBOOL(c_in(hAPP(c_Message_Omsg_OKey,V_K),c_Message_Osynth(V_H),tc_Message_Omsg)) ) ).
% 1.85/1.96
% 1.85/1.96 cnf(cls_Key__synth__eq_1,axiom,
% 1.85/1.96 ( hBOOL(c_in(hAPP(c_Message_Omsg_OKey,V_K),c_Message_Osynth(V_H),tc_Message_Omsg))
% 1.85/1.96 | ~ hBOOL(c_in(hAPP(c_Message_Omsg_OKey,V_K),V_H,tc_Message_Omsg)) ) ).
% 1.85/1.96
% 1.85/1.96 cnf(cls_analz__image__freshK__simps_I61_J_0,axiom,
% 1.85/1.96 ( 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))
% 1.85/1.96 | ~ hBOOL(c_in(V_c,c_Message_Oanalz(V_G),tc_Message_Omsg)) ) ).
% 1.85/1.96
% 1.85/1.96 cnf(cls_top__fun__eq_0,axiom,
% 1.85/1.96 ( ~ class_Orderings_Otop(T_b)
% 1.85/1.96 | hAPP(c_Orderings_Otop__class_Otop(tc_fun(t_a,T_b)),v_x) = c_Orderings_Otop__class_Otop(T_b) ) ).
% 1.85/1.96
% 1.85/1.96 cnf(cls_Crypt__synth__analz_0,axiom,
% 1.85/1.96 ( hBOOL(c_in(V_X,c_Message_Osynth(c_Message_Oanalz(V_H)),tc_Message_Omsg))
% 1.85/1.96 | ~ hBOOL(c_in(c_Message_Omsg_OCrypt(V_K,V_X),c_Message_Osynth(c_Message_Oanalz(V_H)),tc_Message_Omsg))
% 1.85/1.96 | ~ hBOOL(c_in(hAPP(c_Message_Omsg_OKey,hAPP(c_Message_OinvKey,V_K)),c_Message_Oanalz(V_H),tc_Message_Omsg))
% 1.85/1.96 | ~ hBOOL(c_in(hAPP(c_Message_Omsg_OKey,V_K),c_Message_Oanalz(V_H),tc_Message_Omsg)) ) ).
% 1.85/1.96
% 1.85/1.96 cnf(cls_Crypt__synth__analz_1,axiom,
% 1.85/1.96 ( hBOOL(c_in(c_Message_Omsg_OCrypt(V_K,V_X),c_Message_Osynth(c_Message_Oanalz(V_H)),tc_Message_Omsg))
% 1.85/1.96 | ~ hBOOL(c_in(V_X,c_Message_Osynth(c_Message_Oanalz(V_H)),tc_Message_Omsg))
% 1.85/1.96 | ~ hBOOL(c_in(hAPP(c_Message_Omsg_OKey,hAPP(c_Message_OinvKey,V_K)),c_Message_Oanalz(V_H),tc_Message_Omsg))
% 1.85/1.96 | ~ hBOOL(c_in(hAPP(c_Message_Omsg_OKey,V_K),c_Message_Oanalz(V_H),tc_Message_Omsg)) ) ).
% 1.85/1.96
% 1.85/1.96 cnf(cls_parts__image__Key_0,axiom,
% 1.85/1.96 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) ).
% 1.85/1.96
% 1.85/1.96 cnf(cls_Agent__synth_0,axiom,
% 1.85/1.96 hBOOL(c_in(c_Message_Omsg_OAgent(V_A),c_Message_Osynth(V_H),tc_Message_Omsg)) ).
% 1.85/1.96
% 1.85/1.96 cnf(cls_synth_OAgent_0,axiom,
% 1.85/1.96 hBOOL(c_in(c_Message_Omsg_OAgent(V_agt),c_Message_Osynth(V_H),tc_Message_Omsg)) ).
% 1.85/1.96
% 1.85/1.96 cnf(cls_analz__image__freshK__lemma_3,axiom,
% 1.85/1.96 ( 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))
% 1.85/1.96 | ~ hBOOL(c_in(hAPP(c_Message_Omsg_OKey,V_K),c_Message_Oanalz(V_H),tc_Message_Omsg))
% 1.85/1.96 | ~ hBOOL(c_in(V_K,V_nE,tc_nat)) ) ).
% 1.85/1.96
% 1.85/1.96 cnf(cls_analz__image__freshK__lemma_4,axiom,
% 1.85/1.96 ( 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))
% 1.85/1.96 | ~ hBOOL(c_in(V_K,V_nE,tc_nat))
% 1.85/1.96 | ~ hBOOL(c_in(hAPP(c_Message_Omsg_OKey,V_K),c_Message_Oanalz(V_H),tc_Message_Omsg)) ) ).
% 1.85/1.96
% 1.85/1.96 cnf(cls_analz__image__freshK__lemma_0,axiom,
% 1.85/1.96 ( 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))
% 1.85/1.96 | ~ hBOOL(c_in(V_K,V_nE,tc_nat))
% 1.85/1.96 | 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)) ) ).
% 1.85/1.96
% 1.85/1.96 cnf(cls_analz__image__freshK__lemma_2,axiom,
% 1.85/1.96 ( 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))
% 1.85/1.96 | ~ hBOOL(c_in(V_K,V_nE,tc_nat))
% 1.85/1.96 | ~ hBOOL(c_in(V_K,V_nE,tc_nat)) ) ).
% 1.85/1.96
% 1.85/1.96 cnf(cls_analz__image__Key_0,axiom,
% 1.85/1.96 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) ).
% 1.85/1.96
% 1.85/1.96 cnf(cls_Nonce__synth_0,axiom,
% 1.85/1.96 ( hBOOL(c_in(c_Message_Omsg_ONonce(V_n),V_H,tc_Message_Omsg))
% 1.85/1.96 | ~ hBOOL(c_in(c_Message_Omsg_ONonce(V_n),c_Message_Osynth(V_H),tc_Message_Omsg)) ) ).
% 1.85/1.96
% 1.85/1.96 cnf(cls_Nonce__synth__eq_0,axiom,
% 1.85/1.96 ( hBOOL(c_in(c_Message_Omsg_ONonce(V_N),V_H,tc_Message_Omsg))
% 1.85/1.96 | ~ hBOOL(c_in(c_Message_Omsg_ONonce(V_N),c_Message_Osynth(V_H),tc_Message_Omsg)) ) ).
% 1.85/1.96
% 1.85/1.96 cnf(cls_Nonce__synth__eq_1,axiom,
% 1.85/1.96 ( hBOOL(c_in(c_Message_Omsg_ONonce(V_N),c_Message_Osynth(V_H),tc_Message_Omsg))
% 1.85/1.96 | ~ hBOOL(c_in(c_Message_Omsg_ONonce(V_N),V_H,tc_Message_Omsg)) ) ).
% 1.85/1.96
% 1.85/1.96 cnf(cls_synth__trans_0,axiom,
% 1.85/1.96 ( hBOOL(c_in(V_X,c_Message_Osynth(V_H),tc_Message_Omsg))
% 1.85/1.96 | ~ c_lessequals(V_G,c_Message_Osynth(V_H),tc_fun(tc_Message_Omsg,tc_bool))
% 1.85/1.96 | ~ hBOOL(c_in(V_X,c_Message_Osynth(V_G),tc_Message_Omsg)) ) ).
% 1.85/1.96
% 1.85/1.96 cnf(cls_parts__Un__subset1_0,axiom,
% 1.85/1.97 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)) ).
% 1.85/1.97
% 1.85/1.97 cnf(cls_parts__Un__subset2_0,axiom,
% 1.85/1.97 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)) ).
% 1.85/1.97
% 1.85/1.97 cnf(cls_synth__analz__mono_0,axiom,
% 1.85/1.97 ( 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))
% 1.85/1.97 | ~ c_lessequals(V_G,V_H,tc_fun(tc_Message_Omsg,tc_bool)) ) ).
% 1.85/1.97
% 1.85/1.97 cnf(cls_analz__Un_0,axiom,
% 1.85/1.97 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)) ).
% 1.85/1.97
% 1.85/1.97 cnf(cls_analz__subset__cong_0,axiom,
% 1.85/1.97 ( 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))
% 1.85/1.97 | ~ c_lessequals(c_Message_Oanalz(V_H),c_Message_Oanalz(V_H_H),tc_fun(tc_Message_Omsg,tc_bool))
% 1.85/1.97 | ~ c_lessequals(c_Message_Oanalz(V_G),c_Message_Oanalz(V_G_H),tc_fun(tc_Message_Omsg,tc_bool)) ) ).
% 1.85/1.97
% 1.85/1.97 cnf(cls_initState__subset__knows_0,axiom,
% 1.85/1.97 c_lessequals(c_Event_OinitState(V_A),c_Event_Oknows(V_A,V_evs),tc_fun(tc_Message_Omsg,tc_bool)) ).
% 1.85/1.97
% 1.85/1.97 cnf(cls_priK__neq__shrK_0,axiom,
% 1.85/1.97 hAPP(c_Public_OshrK,V_A) != hAPP(c_Message_OinvKey,hAPP(c_Public_OpublicKey(V_b),V_C)) ).
% 1.85/1.97
% 1.85/1.97 cnf(cls_shrK__neq__priK_0,axiom,
% 1.85/1.97 hAPP(c_Message_OinvKey,hAPP(c_Public_OpublicKey(V_b),V_C)) != hAPP(c_Public_OshrK,V_A) ).
% 1.85/1.97
% 1.85/1.97 cnf(cls_used__nil__subset_0,axiom,
% 1.85/1.97 c_lessequals(c_Event_Oused(c_List_Olist_ONil(tc_Event_Oevent)),c_Event_Oused(V_evs),tc_fun(tc_Message_Omsg,tc_bool)) ).
% 1.85/1.97
% 1.85/1.97 cnf(cls_ns__shared_ONil_0,axiom,
% 1.85/1.97 hBOOL(c_in(c_List_Olist_ONil(tc_Event_Oevent),c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))) ).
% 1.85/1.97
% 1.85/1.97 cnf(cls_symKeys__invKey__iff_0,axiom,
% 1.85/1.97 ( hBOOL(c_in(V_K,c_Message_OsymKeys,tc_nat))
% 1.85/1.97 | ~ hBOOL(c_in(hAPP(c_Message_OinvKey,V_K),c_Message_OsymKeys,tc_nat)) ) ).
% 1.85/1.97
% 1.85/1.97 cnf(cls_symKeys__invKey__iff_1,axiom,
% 1.85/1.97 ( hBOOL(c_in(hAPP(c_Message_OinvKey,V_K),c_Message_OsymKeys,tc_nat))
% 1.85/1.97 | ~ hBOOL(c_in(V_K,c_Message_OsymKeys,tc_nat)) ) ).
% 1.85/1.97
% 1.85/1.97 cnf(cls_invKey__K_0,axiom,
% 1.85/1.97 ( hAPP(c_Message_OinvKey,V_K) = V_K
% 1.85/1.97 | ~ hBOOL(c_in(V_K,c_Message_OsymKeys,tc_nat)) ) ).
% 1.85/1.97
% 1.85/1.97 cnf(cls_Crypt__synth_1,axiom,
% 1.85/1.97 ( hBOOL(c_in(hAPP(c_Message_Omsg_OKey,V_K),V_H,tc_Message_Omsg))
% 1.85/1.97 | hBOOL(c_in(c_Message_Omsg_OCrypt(V_K,V_X),V_H,tc_Message_Omsg))
% 1.85/1.97 | ~ hBOOL(c_in(c_Message_Omsg_OCrypt(V_K,V_X),c_Message_Osynth(V_H),tc_Message_Omsg)) ) ).
% 1.85/1.97
% 1.85/1.97 cnf(cls_synth_OCrypt_0,axiom,
% 1.85/1.97 ( hBOOL(c_in(c_Message_Omsg_OCrypt(V_K,V_X),c_Message_Osynth(V_H),tc_Message_Omsg))
% 1.85/1.97 | ~ hBOOL(c_in(hAPP(c_Message_Omsg_OKey,V_K),V_H,tc_Message_Omsg))
% 1.85/1.97 | ~ hBOOL(c_in(V_X,c_Message_Osynth(V_H),tc_Message_Omsg)) ) ).
% 1.85/1.97
% 1.85/1.97 cnf(cls_parts__cut_0,axiom,
% 1.85/1.97 ( 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))
% 1.85/1.97 | ~ hBOOL(c_in(V_X,c_Message_Oparts(V_H),tc_Message_Omsg))
% 1.85/1.97 | ~ hBOOL(c_in(V_Y,c_Message_Oparts(c_Set_Oinsert(V_X,V_G,tc_Message_Omsg)),tc_Message_Omsg)) ) ).
% 1.85/1.97
% 1.85/1.97 cnf(cls_parts__insert__eq__I_1,axiom,
% 1.85/1.97 ( c_Message_Oparts(c_Set_Oinsert(V_X,V_H,tc_Message_Omsg)) = c_Set_Oinsert(V_X,c_Message_Oparts(V_H),tc_Message_Omsg)
% 1.85/1.97 | ~ hBOOL(c_in(c_Message_Osko__Message__Xparts__insert__eq__I__1__1(V_H,V_X),c_Set_Oinsert(V_X,c_Message_Oparts(V_H),tc_Message_Omsg),tc_Message_Omsg)) ) ).
% 1.85/1.97
% 1.85/1.97 cnf(cls_parts__insert__eq__I_0,axiom,
% 1.85/1.97 ( c_Message_Oparts(c_Set_Oinsert(V_X,V_H,tc_Message_Omsg)) = c_Set_Oinsert(V_X,c_Message_Oparts(V_H),tc_Message_Omsg)
% 1.85/1.97 | hBOOL(c_in(c_Message_Osko__Message__Xparts__insert__eq__I__1__1(V_H,V_X),c_Message_Oparts(c_Set_Oinsert(V_X,V_H,tc_Message_Omsg)),tc_Message_Omsg)) ) ).
% 1.85/1.97
% 1.85/1.97 cnf(cls_analz__insert__eq__I_0,axiom,
% 1.85/1.97 ( c_Message_Oanalz(c_Set_Oinsert(V_X,V_H,tc_Message_Omsg)) = c_Set_Oinsert(V_X,c_Message_Oanalz(V_H),tc_Message_Omsg)
% 1.85/1.97 | hBOOL(c_in(c_Message_Osko__Message__Xanalz__insert__eq__I__1__1(V_H,V_X),c_Message_Oanalz(c_Set_Oinsert(V_X,V_H,tc_Message_Omsg)),tc_Message_Omsg)) ) ).
% 1.85/1.97
% 1.85/1.97 cnf(cls_analz__insert__eq__I_1,axiom,
% 1.85/1.97 ( c_Message_Oanalz(c_Set_Oinsert(V_X,V_H,tc_Message_Omsg)) = c_Set_Oinsert(V_X,c_Message_Oanalz(V_H),tc_Message_Omsg)
% 1.85/1.97 | ~ hBOOL(c_in(c_Message_Osko__Message__Xanalz__insert__eq__I__1__1(V_H,V_X),c_Set_Oinsert(V_X,c_Message_Oanalz(V_H),tc_Message_Omsg),tc_Message_Omsg)) ) ).
% 1.85/1.97
% 1.85/1.97 cnf(cls_Fake__analz__eq_0,axiom,
% 1.85/1.97 ( c_Message_Osynth(c_Message_Oanalz(c_Set_Oinsert(V_X,V_H,tc_Message_Omsg))) = c_Message_Osynth(c_Message_Oanalz(V_H))
% 1.85/1.97 | ~ hBOOL(c_in(V_X,c_Message_Osynth(c_Message_Oanalz(V_H)),tc_Message_Omsg)) ) ).
% 1.85/1.97
% 1.85/1.97 cnf(cls_Nonce__notin__initState_0,axiom,
% 1.85/1.97 ~ hBOOL(c_in(c_Message_Omsg_ONonce(V_N),c_Message_Oparts(c_Event_OinitState(V_B)),tc_Message_Omsg)) ).
% 1.85/1.97
% 1.85/1.97 cnf(cls_Key__image__eq_1,axiom,
% 1.85/1.97 ( 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))
% 1.85/1.97 | ~ hBOOL(c_in(V_x,V_A,tc_nat)) ) ).
% 1.85/1.97
% 1.85/1.97 cnf(cls_Key__image__eq_0,axiom,
% 1.85/1.97 ( hBOOL(c_in(V_x,V_A,tc_nat))
% 1.85/1.97 | ~ 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)) ) ).
% 1.85/1.97
% 1.85/1.97 cnf(cls_Nonce__Key__image__eq_0,axiom,
% 1.85/1.97 ~ 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)) ).
% 1.85/1.97
% 1.85/1.97 cnf(cls_shrK__in__initState_0,axiom,
% 1.85/1.97 hBOOL(c_in(hAPP(c_Message_Omsg_OKey,hAPP(c_Public_OshrK,V_A)),c_Event_OinitState(V_A),tc_Message_Omsg)) ).
% 1.85/1.97
% 1.85/1.97 cnf(cls_publicKey__in__initState_0,axiom,
% 1.85/1.97 hBOOL(c_in(hAPP(c_Message_Omsg_OKey,hAPP(c_Public_OpublicKey(V_b),V_A)),c_Event_OinitState(V_B),tc_Message_Omsg)) ).
% 1.85/1.97
% 1.85/1.97 cnf(cls_initState__into__used_0,axiom,
% 1.85/1.97 ( hBOOL(c_in(V_X,c_Event_Oused(V_evs),tc_Message_Omsg))
% 1.85/1.97 | ~ hBOOL(c_in(V_X,c_Message_Oparts(c_Event_OinitState(V_B)),tc_Message_Omsg)) ) ).
% 1.85/1.97
% 1.85/1.97 cnf(cls_Crypt__notin__used__empty_0,axiom,
% 1.85/1.97 ~ hBOOL(c_in(c_Message_Omsg_OCrypt(V_K,V_X),c_Event_Oused(c_List_Olist_ONil(tc_Event_Oevent)),tc_Message_Omsg)) ).
% 1.85/1.97
% 1.85/1.97 cnf(cls_Nonce__supply1_0,axiom,
% 1.85/1.97 ~ 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)) ).
% 1.85/1.97
% 1.85/1.97 cnf(cls_Nonce__notin__used__empty_0,axiom,
% 1.85/1.97 ~ hBOOL(c_in(c_Message_Omsg_ONonce(V_N),c_Event_Oused(c_List_Olist_ONil(tc_Event_Oevent)),tc_Message_Omsg)) ).
% 1.85/1.97
% 1.85/1.97 cnf(cls_privateKey__notin__image__publicKey_0,axiom,
% 1.85/1.97 ~ hBOOL(c_in(hAPP(c_Message_OinvKey,hAPP(c_Public_OpublicKey(V_b),V_x)),c_Set_Oimage(c_Public_OpublicKey(V_c),V_AA,tc_Message_Oagent,tc_nat),tc_nat)) ).
% 1.85/1.97
% 1.85/1.97 cnf(cls_not__symKeys__priK_0,axiom,
% 1.85/1.97 ~ hBOOL(c_in(hAPP(c_Message_OinvKey,hAPP(c_Public_OpublicKey(V_b),V_A)),c_Message_OsymKeys,tc_nat)) ).
% 1.85/1.97
% 1.85/1.97 cnf(cls_ns__sharedp__ns__shared__eq_0,axiom,
% 1.85/1.97 c_NS__Shared__Mirabelle_Ons__sharedp(v_x) = c_in(v_x,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent)) ).
% 1.85/1.97
% 1.85/1.97 cnf(cls_sorted__Cons_1,axiom,
% 1.85/1.97 ( ~ class_Orderings_Olinorder(T_a)
% 1.85/1.97 | c_lessequals(V_x,V_xa,T_a)
% 1.85/1.97 | ~ hBOOL(c_in(V_xa,c_List_Oset(V_xs,T_a),T_a))
% 1.85/1.97 | ~ c_List_Olinorder__class_Osorted(c_List_Olist_OCons(V_x,V_xs,T_a),T_a) ) ).
% 1.85/1.97
% 1.85/1.97 cnf(cls_analz_ODecrypt_0,axiom,
% 1.85/1.97 ( hBOOL(c_in(V_X,c_Message_Oanalz(V_H),tc_Message_Omsg))
% 1.85/1.97 | ~ hBOOL(c_in(hAPP(c_Message_Omsg_OKey,hAPP(c_Message_OinvKey,V_K)),c_Message_Oanalz(V_H),tc_Message_Omsg))
% 1.85/1.97 | ~ hBOOL(c_in(c_Message_Omsg_OCrypt(V_K,V_X),c_Message_Oanalz(V_H),tc_Message_Omsg)) ) ).
% 1.85/1.97
% 1.85/1.97 cnf(cls_parts__insert__subset__Un_0,axiom,
% 1.85/1.97 ( 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))
% 1.85/1.97 | ~ hBOOL(c_in(V_X,V_G,tc_Message_Omsg)) ) ).
% 1.85/1.97
% 1.85/1.97 cnf(cls_Crypt__imp__invKey__keysFor_0,axiom,
% 1.85/1.97 ( hBOOL(c_in(hAPP(c_Message_OinvKey,V_K),c_Message_OkeysFor(V_H),tc_nat))
% 1.85/1.97 | ~ hBOOL(c_in(c_Message_Omsg_OCrypt(V_K,V_X),V_H,tc_Message_Omsg)) ) ).
% 1.85/1.97
% 1.85/1.97 cnf(cls_privateKey__into__used_0,axiom,
% 1.85/1.97 hBOOL(c_in(hAPP(c_Message_Omsg_OKey,hAPP(c_Message_OinvKey,hAPP(c_Public_OpublicKey(V_b),V_A))),c_Event_Oused(V_evs),tc_Message_Omsg)) ).
% 1.85/1.97
% 1.85/1.97 cnf(cls_knows__imp__Says__Gets__Notes__initState_0,axiom,
% 1.85/1.97 ( hBOOL(c_in(V_X,c_Event_OinitState(V_A),tc_Message_Omsg))
% 1.85/1.97 | hBOOL(c_in(c_Event_Oevent_ONotes(V_A,V_X),c_List_Oset(V_evs,tc_Event_Oevent),tc_Event_Oevent))
% 1.85/1.97 | hBOOL(c_in(c_Event_Oevent_OGets(V_A,V_X),c_List_Oset(V_evs,tc_Event_Oevent),tc_Event_Oevent))
% 1.85/1.97 | 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))
% 1.85/1.97 | V_A = c_Message_Oagent_OSpy
% 1.85/1.97 | ~ hBOOL(c_in(V_X,c_Event_Oknows(V_A,V_evs),tc_Message_Omsg)) ) ).
% 1.85/1.97
% 1.85/1.97 cnf(cls_privateKey__notin__image__shrK_0,axiom,
% 1.85/1.97 ~ hBOOL(c_in(hAPP(c_Message_OinvKey,hAPP(c_Public_OpublicKey(V_b),V_x)),c_Set_Oimage(c_Public_OshrK,V_AA,tc_Message_Oagent,tc_nat),tc_nat)) ).
% 1.85/1.97
% 1.85/1.97 cnf(cls_analz__Crypt__if_0,axiom,
% 1.85/1.97 ( 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)
% 1.85/1.97 | ~ hBOOL(c_in(hAPP(c_Message_Omsg_OKey,hAPP(c_Message_OinvKey,V_K)),c_Message_Oanalz(V_H),tc_Message_Omsg)) ) ).
% 1.85/1.97
% 1.85/1.97 cnf(cls_analz__Crypt__if_1,axiom,
% 1.85/1.97 ( 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)
% 1.85/1.97 | hBOOL(c_in(hAPP(c_Message_Omsg_OKey,hAPP(c_Message_OinvKey,V_K)),c_Message_Oanalz(V_H),tc_Message_Omsg)) ) ).
% 1.85/1.97
% 1.85/1.97 cnf(cls_synth__analz__insert__eq_1,axiom,
% 1.85/1.97 ( 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))
% 1.85/1.97 | ~ hBOOL(c_in(hAPP(c_Message_Omsg_OKey,V_K),c_Message_Oanalz(V_G),tc_Message_Omsg))
% 1.85/1.97 | ~ c_lessequals(V_H,V_G,tc_fun(tc_Message_Omsg,tc_bool))
% 1.85/1.97 | ~ hBOOL(c_in(V_X,c_Message_Osynth(c_Message_Oanalz(V_H)),tc_Message_Omsg)) ) ).
% 1.85/1.97
% 1.85/1.97 cnf(cls_synth__analz__insert__eq_0,axiom,
% 1.85/1.97 ( hBOOL(c_in(hAPP(c_Message_Omsg_OKey,V_K),c_Message_Oanalz(V_G),tc_Message_Omsg))
% 1.85/1.97 | ~ 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))
% 1.85/1.97 | ~ c_lessequals(V_H,V_G,tc_fun(tc_Message_Omsg,tc_bool))
% 1.85/1.97 | ~ hBOOL(c_in(V_X,c_Message_Osynth(c_Message_Oanalz(V_H)),tc_Message_Omsg)) ) ).
% 1.85/1.97
% 1.85/1.97 cnf(cls_used__parts__subset__parts_0,axiom,
% 1.85/1.97 ( c_lessequals(c_Message_Oparts(c_Set_Oinsert(V_X,c_Orderings_Obot__class_Obot(tc_fun(tc_Message_Omsg,tc_bool)),tc_Message_Omsg)),c_Event_Oused(V_evs),tc_fun(tc_Message_Omsg,tc_bool))
% 1.85/1.97 | ~ hBOOL(c_in(V_X,c_Event_Oused(V_evs),tc_Message_Omsg)) ) ).
% 1.85/1.97
% 1.85/1.97 cnf(cls_lemma1_0,axiom,
% 1.85/1.97 ( 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))
% 1.85/1.97 | ~ hBOOL(c_in(hAPP(c_Message_Omsg_OKey,hAPP(c_Message_OinvKey,V_K)),c_Message_Oanalz(V_H),tc_Message_Omsg)) ) ).
% 1.85/1.97
% 1.85/1.97 cnf(cls_lemma2_0,axiom,
% 1.85/1.97 ( 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))
% 1.85/1.97 | ~ hBOOL(c_in(hAPP(c_Message_Omsg_OKey,hAPP(c_Message_OinvKey,V_K)),c_Message_Oanalz(V_H),tc_Message_Omsg)) ) ).
% 1.85/1.97
% 1.85/1.97 cnf(cls_Spy__spies__bad__privateKey_0,axiom,
% 1.85/1.97 ( hBOOL(c_in(hAPP(c_Message_Omsg_OKey,hAPP(c_Message_OinvKey,hAPP(c_Public_OpublicKey(V_b),V_A))),c_Event_Oknows(c_Message_Oagent_OSpy,V_evs),tc_Message_Omsg))
% 1.85/1.97 | ~ hBOOL(c_in(V_A,c_Event_Obad,tc_Message_Oagent)) ) ).
% 1.85/1.97
% 1.85/1.97 cnf(cls_ns__sharedp_OFake_0,axiom,
% 1.85/1.97 ( 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)))
% 1.85/1.97 | ~ hBOOL(c_in(V_X,c_Message_Osynth(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,V_evsf))),tc_Message_Omsg))
% 1.85/1.97 | ~ hBOOL(c_NS__Shared__Mirabelle_Ons__sharedp(V_evsf)) ) ).
% 1.85/1.97
% 1.85/1.97 cnf(cls_ns__shared_OFake_0,axiom,
% 1.85/1.97 ( 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)))
% 1.85/1.97 | ~ hBOOL(c_in(V_X,c_Message_Osynth(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,V_evsf))),tc_Message_Omsg))
% 1.85/1.97 | ~ hBOOL(c_in(V_evsf,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))) ) ).
% 1.85/1.97
% 1.85/1.97 cnf(cls_knows__Spy__Notes_0,axiom,
% 1.85/1.97 ( 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)
% 1.85/1.97 | ~ hBOOL(c_in(V_A,c_Event_Obad,tc_Message_Oagent)) ) ).
% 1.85/1.97
% 1.85/1.97 cnf(cls_knows__Gets_0,axiom,
% 1.85/1.97 ( 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)
% 1.85/1.97 | V_A = c_Message_Oagent_OSpy ) ).
% 1.85/1.97
% 1.85/1.97 cnf(cls_knows__Spy__Says_0,axiom,
% 1.85/1.97 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) ).
% 1.85/1.97
% 1.85/1.97 cnf(cls_analz__insert__Key_0,axiom,
% 1.85/1.97 ( 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)
% 1.85/1.97 | hBOOL(c_in(V_K,c_Message_OkeysFor(c_Message_Oanalz(V_H)),tc_nat)) ) ).
% 1.85/1.97
% 1.85/1.97 cnf(cls_knows__Notes_0,axiom,
% 1.85/1.97 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) ).
% 1.85/1.97
% 1.85/1.97 cnf(cls_knows__Says_0,axiom,
% 1.85/1.97 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) ).
% 1.85/1.97
% 1.85/1.97 cnf(cls_analz__insert__Crypt__subset_0,axiom,
% 1.85/1.97 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)) ).
% 1.85/1.97
% 1.85/1.97 cnf(cls_gen__analz__insert__eq_0,axiom,
% 1.85/1.97 ( c_Message_Oanalz(c_Set_Oinsert(V_X,V_G,tc_Message_Omsg)) = c_Message_Oanalz(V_G)
% 1.85/1.97 | ~ c_lessequals(V_H,V_G,tc_fun(tc_Message_Omsg,tc_bool))
% 1.85/1.97 | ~ hBOOL(c_in(V_X,c_Message_Oanalz(V_H),tc_Message_Omsg)) ) ).
% 1.85/1.97
% 1.85/1.97 cnf(cls_keysFor__insert__Nonce_0,axiom,
% 1.85/1.97 c_Message_OkeysFor(c_Set_Oinsert(c_Message_Omsg_ONonce(V_N),V_H,tc_Message_Omsg)) = c_Message_OkeysFor(V_H) ).
% 1.85/1.97
% 1.85/1.97 cnf(cls_keysFor__insert__Agent_0,axiom,
% 1.85/1.97 c_Message_OkeysFor(c_Set_Oinsert(c_Message_Omsg_OAgent(V_A),V_H,tc_Message_Omsg)) = c_Message_OkeysFor(V_H) ).
% 1.85/1.97
% 1.85/1.97 cnf(cls_keysFor__insert__Key_0,axiom,
% 1.85/1.97 c_Message_OkeysFor(c_Set_Oinsert(hAPP(c_Message_Omsg_OKey,V_K),V_H,tc_Message_Omsg)) = c_Message_OkeysFor(V_H) ).
% 1.85/1.97
% 1.85/1.97 cnf(cls_keysFor__insert__MPair_0,axiom,
% 1.85/1.97 c_Message_OkeysFor(c_Set_Oinsert(c_Message_Omsg_OMPair(V_X,V_Y),V_H,tc_Message_Omsg)) = c_Message_OkeysFor(V_H) ).
% 1.85/1.97
% 1.85/1.97 cnf(cls_analz__insert_0,axiom,
% 1.85/1.97 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)) ).
% 1.85/1.97
% 1.85/1.97 cnf(cls_parts__insert__subset_0,axiom,
% 1.85/1.97 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)) ).
% 1.85/1.97
% 1.85/1.97 cnf(cls_analz__insert__Nonce_0,axiom,
% 1.85/1.97 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) ).
% 1.85/1.97
% 1.85/1.97 cnf(cls_pushes_I2_J_0,axiom,
% 1.85/1.97 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) ).
% 1.85/1.97
% 1.85/1.97 cnf(cls_pushes_I9_J_0,axiom,
% 1.85/1.97 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) ).
% 1.85/1.97
% 1.85/1.97 cnf(cls_analz__insert__Agent_0,axiom,
% 1.85/1.97 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) ).
% 1.85/1.97
% 1.85/1.97 cnf(cls_parts__insert__Nonce_0,axiom,
% 1.85/1.97 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) ).
% 1.85/1.97
% 1.85/1.97 cnf(cls_pushes_I1_J_0,axiom,
% 1.85/1.97 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) ).
% 1.85/1.97
% 1.85/1.97 cnf(cls_pushes_I8_J_0,axiom,
% 1.85/1.97 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) ).
% 1.85/1.97
% 1.85/1.97 cnf(cls_parts__insert__Agent_0,axiom,
% 1.85/1.97 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) ).
% 1.85/1.97
% 1.85/1.97 cnf(cls_pushes_I6_J_0,axiom,
% 1.85/1.97 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) ).
% 1.85/1.97
% 1.85/1.97 cnf(cls_parts__insert__Key_0,axiom,
% 1.85/1.97 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) ).
% 1.85/1.97
% 1.85/1.97 cnf(cls_parts__insert__Crypt_0,axiom,
% 1.85/1.97 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) ).
% 1.85/1.97
% 1.85/1.97 cnf(cls_analz__insert__MPair_0,axiom,
% 1.85/1.97 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) ).
% 1.85/1.97
% 1.85/1.97 cnf(cls_pushes_I5_J_0,axiom,
% 1.85/1.97 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) ).
% 1.85/1.97
% 1.85/1.97 cnf(cls_analz__cut_0,axiom,
% 1.85/1.97 ( hBOOL(c_in(V_Y,c_Message_Oanalz(V_H),tc_Message_Omsg))
% 1.85/1.97 | ~ hBOOL(c_in(V_X,c_Message_Oanalz(V_H),tc_Message_Omsg))
% 1.85/1.97 | ~ hBOOL(c_in(V_Y,c_Message_Oanalz(c_Set_Oinsert(V_X,V_H,tc_Message_Omsg)),tc_Message_Omsg)) ) ).
% 1.85/1.97
% 1.85/1.97 cnf(cls_analz__insert__eq_0,axiom,
% 1.85/1.97 ( c_Message_Oanalz(c_Set_Oinsert(V_X,V_H,tc_Message_Omsg)) = c_Message_Oanalz(V_H)
% 1.85/1.97 | ~ hBOOL(c_in(V_X,c_Message_Oanalz(V_H),tc_Message_Omsg)) ) ).
% 1.85/1.97
% 1.85/1.97 cnf(cls_analz__insertI_0,axiom,
% 1.85/1.97 ( hBOOL(c_in(V_c,c_Message_Oanalz(c_Set_Oinsert(V_a,V_G,tc_Message_Omsg)),tc_Message_Omsg))
% 1.85/1.97 | ~ hBOOL(c_in(V_c,c_Message_Oanalz(V_G),tc_Message_Omsg)) ) ).
% 1.85/1.97
% 1.85/1.97 cnf(cls_pushes_I12_J_0,axiom,
% 1.85/1.97 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) ).
% 1.85/1.97
% 1.85/1.97 cnf(cls_parts__insert__MPair_0,axiom,
% 1.85/1.97 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) ).
% 1.85/1.97
% 1.85/1.97 cnf(cls_parts__insertI_0,axiom,
% 1.85/1.97 ( hBOOL(c_in(V_c,c_Message_Oparts(c_Set_Oinsert(V_a,V_G,tc_Message_Omsg)),tc_Message_Omsg))
% 1.85/1.97 | ~ hBOOL(c_in(V_c,c_Message_Oparts(V_G),tc_Message_Omsg)) ) ).
% 1.85/1.97
% 1.85/1.97 cnf(cls_parts__cut__eq_0,axiom,
% 1.85/1.97 ( c_Message_Oparts(c_Set_Oinsert(V_X,V_H,tc_Message_Omsg)) = c_Message_Oparts(V_H)
% 1.85/1.97 | ~ hBOOL(c_in(V_X,c_Message_Oparts(V_H),tc_Message_Omsg)) ) ).
% 1.85/1.97
% 1.85/1.97 cnf(cls_List_Oset_Osimps_I2_J_0,axiom,
% 1.85/1.97 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) ).
% 1.85/1.97
% 1.85/1.97 cnf(cls_insert__image_0,axiom,
% 1.85/1.97 ( 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)
% 1.85/1.97 | ~ hBOOL(c_in(V_x,V_A,T_a)) ) ).
% 1.85/1.97
% 1.85/1.97 cnf(cls_insert__subset_2,axiom,
% 1.85/1.97 ( c_lessequals(c_Set_Oinsert(V_x,V_A,T_a),V_B,tc_fun(T_a,tc_bool))
% 1.85/1.97 | ~ c_lessequals(V_A,V_B,tc_fun(T_a,tc_bool))
% 1.85/1.97 | ~ hBOOL(c_in(V_x,V_B,T_a)) ) ).
% 1.85/1.97
% 1.85/1.97 cnf(cls_insert__subset_0,axiom,
% 1.85/1.97 ( hBOOL(c_in(V_x,V_B,T_a))
% 1.85/1.97 | ~ c_lessequals(c_Set_Oinsert(V_x,V_A,T_a),V_B,tc_fun(T_a,tc_bool)) ) ).
% 1.85/1.97
% 1.85/1.97 cnf(cls_subset__insert__iff_2,axiom,
% 1.85/1.97 ( c_lessequals(V_A,c_Set_Oinsert(V_x,V_B,T_a),tc_fun(T_a,tc_bool))
% 1.85/1.97 | ~ c_lessequals(V_A,V_B,tc_fun(T_a,tc_bool))
% 1.85/1.97 | hBOOL(c_in(V_x,V_A,T_a)) ) ).
% 1.85/1.97
% 1.85/1.97 cnf(cls_subset__insert__iff_1,axiom,
% 1.85/1.97 ( c_lessequals(V_A,V_B,tc_fun(T_a,tc_bool))
% 1.85/1.97 | hBOOL(c_in(V_x,V_A,T_a))
% 1.85/1.97 | ~ c_lessequals(V_A,c_Set_Oinsert(V_x,V_B,T_a),tc_fun(T_a,tc_bool)) ) ).
% 1.85/1.97
% 1.85/1.97 cnf(cls_subset__insert_1,axiom,
% 1.85/1.97 ( c_lessequals(V_A,c_Set_Oinsert(V_x,V_B,T_a),tc_fun(T_a,tc_bool))
% 1.85/1.97 | ~ c_lessequals(V_A,V_B,tc_fun(T_a,tc_bool))
% 1.85/1.97 | hBOOL(c_in(V_x,V_A,T_a)) ) ).
% 1.85/1.97
% 1.85/1.97 cnf(cls_subset__insert_0,axiom,
% 1.85/1.97 ( c_lessequals(V_A,V_B,tc_fun(T_a,tc_bool))
% 1.85/1.97 | ~ c_lessequals(V_A,c_Set_Oinsert(V_x,V_B,T_a),tc_fun(T_a,tc_bool))
% 1.85/1.97 | hBOOL(c_in(V_x,V_A,T_a)) ) ).
% 1.85/1.97
% 1.85/1.97 cnf(cls_insert__mono_0,axiom,
% 1.85/1.97 ( 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))
% 1.85/1.97 | ~ c_lessequals(V_C,V_D,tc_fun(T_a,tc_bool)) ) ).
% 1.85/1.97
% 1.85/1.97 cnf(cls_insert__code_1,axiom,
% 1.85/1.97 hBOOL(hAPP(c_Set_Oinsert(V_x,V_A,T_a),V_x)) ).
% 1.85/1.97
% 1.85/1.97 cnf(cls_image__insert_0,axiom,
% 1.85/1.97 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) ).
% 1.85/1.97
% 1.85/1.97 cnf(cls_subset__insertI_0,axiom,
% 1.85/1.97 c_lessequals(V_B,c_Set_Oinsert(V_a,V_B,T_a),tc_fun(T_a,tc_bool)) ).
% 1.85/1.97
% 1.85/1.97 cnf(cls_insert__code_0,axiom,
% 1.85/1.97 ( hBOOL(hAPP(V_A,V_x))
% 1.85/1.97 | V_y = V_x
% 1.85/1.97 | ~ hBOOL(hAPP(c_Set_Oinsert(V_y,V_A,T_a),V_x)) ) ).
% 1.85/1.97
% 1.85/1.97 cnf(cls_insert__absorb2_0,axiom,
% 1.85/1.97 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) ).
% 1.85/1.97
% 1.85/1.97 cnf(cls_subset__insertI2_0,axiom,
% 1.85/1.97 ( c_lessequals(V_A,c_Set_Oinsert(V_b,V_B,T_a),tc_fun(T_a,tc_bool))
% 1.85/1.97 | ~ c_lessequals(V_A,V_B,tc_fun(T_a,tc_bool)) ) ).
% 1.85/1.97
% 1.85/1.97 cnf(cls_insert__subset_1,axiom,
% 1.85/1.97 ( c_lessequals(V_A,V_B,tc_fun(T_a,tc_bool))
% 1.85/1.97 | ~ c_lessequals(c_Set_Oinsert(V_x,V_A,T_a),V_B,tc_fun(T_a,tc_bool)) ) ).
% 1.85/1.97
% 1.85/1.97 cnf(cls_insert__commute_0,axiom,
% 1.85/1.97 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) ).
% 1.85/1.97
% 1.85/1.97 cnf(cls_insert__code_2,axiom,
% 1.85/1.97 ( hBOOL(hAPP(c_Set_Oinsert(V_y,V_A,T_a),V_x))
% 1.85/1.97 | ~ hBOOL(hAPP(V_A,V_x)) ) ).
% 1.85/1.97
% 1.85/1.97 cnf(cls_analz__image__freshK__simps_I56_J_0,axiom,
% 1.85/1.97 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) ).
% 1.85/1.97
% 1.85/1.97 cnf(cls_insert__iff_2,axiom,
% 1.85/1.97 ( hBOOL(c_in(V_a,c_Set_Oinsert(V_b,V_A,T_a),T_a))
% 1.85/1.97 | ~ hBOOL(c_in(V_a,V_A,T_a)) ) ).
% 1.85/1.97
% 1.85/1.97 cnf(cls_insertCI_0,axiom,
% 1.85/1.97 ( hBOOL(c_in(V_a,c_Set_Oinsert(V_b,V_B,T_a),T_a))
% 1.85/1.97 | ~ hBOOL(c_in(V_a,V_B,T_a)) ) ).
% 1.85/1.97
% 1.85/1.97 cnf(cls_insertE_0,axiom,
% 1.85/1.97 ( hBOOL(c_in(V_a,V_A,T_a))
% 1.85/1.97 | V_a = V_b
% 1.85/1.97 | ~ hBOOL(c_in(V_a,c_Set_Oinsert(V_b,V_A,T_a),T_a)) ) ).
% 1.85/1.97
% 1.85/1.97 cnf(cls_insert__iff_1,axiom,
% 1.85/1.97 hBOOL(c_in(V_x,c_Set_Oinsert(V_x,V_A,T_a),T_a)) ).
% 1.85/1.97
% 1.85/1.97 cnf(cls_insertI1_0,axiom,
% 1.85/1.97 hBOOL(c_in(V_a,c_Set_Oinsert(V_a,V_B,T_a),T_a)) ).
% 1.85/1.97
% 1.85/1.97 cnf(cls_insertCI_1,axiom,
% 1.85/1.97 hBOOL(c_in(V_x,c_Set_Oinsert(V_x,V_B,T_a),T_a)) ).
% 1.85/1.97
% 1.85/1.97 cnf(cls_insert__ident_0,axiom,
% 1.85/1.97 ( c_Set_Oinsert(V_x,V_A,T_a) != c_Set_Oinsert(V_x,V_B,T_a)
% 1.85/1.97 | hBOOL(c_in(V_x,V_B,T_a))
% 1.85/1.97 | hBOOL(c_in(V_x,V_A,T_a))
% 1.85/1.97 | V_A = V_B ) ).
% 1.85/1.97
% 1.85/1.97 cnf(cls_insert__absorb_0,axiom,
% 1.85/1.97 ( c_Set_Oinsert(V_a,V_A,T_a) = V_A
% 1.85/1.97 | ~ hBOOL(c_in(V_a,V_A,T_a)) ) ).
% 1.85/1.97
% 1.85/1.97 cnf(cls_analz__insert__cong_0,axiom,
% 1.85/1.97 ( c_Message_Oanalz(V_H) != c_Message_Oanalz(V_H_H)
% 1.85/1.97 | 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)) ) ).
% 1.85/1.97
% 1.85/1.97 cnf(cls_analz__insert__freshK_1,axiom,
% 1.85/1.97 ( 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))
% 1.85/1.97 | ~ hBOOL(c_in(V_evs,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent)))
% 1.85/1.97 | 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)) ) ).
% 1.85/1.97
% 1.85/1.97 cnf(cls_analz__insert__freshK_0,axiom,
% 1.85/1.97 ( 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))
% 1.85/1.97 | V_K = V_KAB
% 1.85/1.97 | ~ 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))
% 1.85/1.97 | 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))
% 1.85/1.97 | ~ hBOOL(c_in(V_evs,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))) ) ).
% 1.85/1.97
% 1.85/1.97 cnf(cls_analz__insert__freshK_2,axiom,
% 1.85/1.97 ( 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))
% 1.85/1.97 | ~ 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))
% 1.85/1.97 | 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))
% 1.85/1.97 | ~ hBOOL(c_in(V_evs,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))) ) ).
% 1.85/1.97
% 1.85/1.97 cnf(cls_Spy__not__see__encrypted__key_0,axiom,
% 1.85/1.97 ( ~ 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))
% 1.85/1.97 | ~ hBOOL(c_in(V_evs,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent)))
% 1.85/1.97 | hBOOL(c_in(V_B,c_Event_Obad,tc_Message_Oagent))
% 1.85/1.97 | hBOOL(c_in(V_A,c_Event_Obad,tc_Message_Oagent))
% 1.85/1.97 | 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))
% 1.85/1.97 | ~ 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)) ) ).
% 1.85/1.97
% 1.85/1.97 cnf(cls_secrecy__lemma_0,axiom,
% 1.85/1.97 ( ~ 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))
% 1.85/1.97 | 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))
% 1.85/1.97 | ~ hBOOL(c_in(V_evs,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent)))
% 1.85/1.97 | hBOOL(c_in(V_B,c_Event_Obad,tc_Message_Oagent))
% 1.85/1.97 | hBOOL(c_in(V_A,c_Event_Obad,tc_Message_Oagent))
% 1.85/1.97 | ~ 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)) ) ).
% 1.85/1.97
% 1.85/1.97 cnf(cls_Spy__see__shrK_1,axiom,
% 1.85/1.97 ( 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))
% 1.85/1.97 | ~ hBOOL(c_in(V_A,c_Event_Obad,tc_Message_Oagent))
% 1.85/1.97 | ~ hBOOL(c_in(V_evs,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))) ) ).
% 1.85/1.97
% 1.85/1.97 cnf(cls_spies__pubK_0,axiom,
% 1.85/1.97 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)) ).
% 1.85/1.97
% 1.85/1.97 cnf(cls_ns__sharedp_OOops_0,axiom,
% 1.85/1.97 ( 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)))
% 1.85/1.97 | ~ 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))
% 1.85/1.97 | ~ 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))
% 1.85/1.97 | ~ hBOOL(c_NS__Shared__Mirabelle_Ons__sharedp(V_evso)) ) ).
% 1.85/1.97
% 1.85/1.97 cnf(cls_ns__sharedp_ONS1_0,axiom,
% 1.85/1.97 ( 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)))
% 1.85/1.97 | hBOOL(c_in(c_Message_Omsg_ONonce(V_NA),c_Event_Oused(V_evs1),tc_Message_Omsg))
% 1.85/1.97 | ~ hBOOL(c_NS__Shared__Mirabelle_Ons__sharedp(V_evs1)) ) ).
% 1.85/1.97
% 1.85/1.97 cnf(cls_cert__A__form_0,axiom,
% 1.85/1.97 ( ~ 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))
% 1.85/1.97 | ~ hBOOL(c_in(V_evs,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent)))
% 1.85/1.97 | hBOOL(c_in(V_A,c_Event_Obad,tc_Message_Oagent))
% 1.85/1.97 | ~ 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)) ) ).
% 1.85/1.97
% 1.85/1.97 cnf(cls_publicKey__into__used_0,axiom,
% 1.85/1.97 hBOOL(c_in(hAPP(c_Message_Omsg_OKey,hAPP(c_Public_OpublicKey(V_b),V_A)),c_Event_Oused(V_evs),tc_Message_Omsg)) ).
% 1.85/1.97
% 1.85/1.97 cnf(cls_Crypt__Spy__analz__bad_0,axiom,
% 1.85/1.97 ( hBOOL(c_in(V_X,c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,V_evs)),tc_Message_Omsg))
% 1.85/1.97 | ~ hBOOL(c_in(V_A,c_Event_Obad,tc_Message_Oagent))
% 1.85/1.97 | ~ 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)) ) ).
% 1.85/1.97
% 1.85/1.97 cnf(cls_Key__not__used_0,axiom,
% 1.85/1.97 ( ~ 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))
% 1.85/1.97 | hBOOL(c_in(hAPP(c_Message_Omsg_OKey,V_K),c_Event_Oused(V_evs),tc_Message_Omsg)) ) ).
% 1.85/1.97
% 1.85/1.97 cnf(cls_Spy__spies__bad__shrK_0,axiom,
% 1.85/1.97 ( 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))
% 1.85/1.97 | ~ hBOOL(c_in(V_A,c_Event_Obad,tc_Message_Oagent)) ) ).
% 1.85/1.97
% 1.85/1.97 cnf(cls_not__symKeys__pubK_0,axiom,
% 1.85/1.97 ~ hBOOL(c_in(hAPP(c_Public_OpublicKey(V_b),V_A),c_Message_OsymKeys,tc_nat)) ).
% 1.85/1.97
% 1.85/1.97 cnf(cls_analz__mono__contra_I3_J_0,axiom,
% 1.85/1.97 ( ~ hBOOL(c_in(V_c,c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,V_evs)),tc_Message_Omsg))
% 1.85/1.97 | 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)) ) ).
% 1.85/1.97
% 1.85/1.97 cnf(cls_analz__mono__contra_I2_J_0,axiom,
% 1.85/1.97 ( ~ hBOOL(c_in(V_c,c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,V_evs)),tc_Message_Omsg))
% 1.85/1.97 | 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)) ) ).
% 1.85/1.97
% 1.85/1.97 cnf(cls_analz__subset__parts_0,axiom,
% 1.85/1.97 c_lessequals(c_Message_Oanalz(V_H),c_Message_Oparts(V_H),tc_fun(tc_Message_Omsg,tc_bool)) ).
% 1.85/1.97
% 1.85/1.97 cnf(cls_analz__trans_0,axiom,
% 1.85/1.97 ( hBOOL(c_in(V_X,c_Message_Oanalz(V_H),tc_Message_Omsg))
% 1.85/1.97 | ~ c_lessequals(V_G,c_Message_Oanalz(V_H),tc_fun(tc_Message_Omsg,tc_bool))
% 1.85/1.97 | ~ hBOOL(c_in(V_X,c_Message_Oanalz(V_G),tc_Message_Omsg)) ) ).
% 1.85/1.97
% 1.85/1.97 cnf(cls_parts__trans_0,axiom,
% 1.85/1.97 ( hBOOL(c_in(V_X,c_Message_Oparts(V_H),tc_Message_Omsg))
% 1.85/1.97 | ~ c_lessequals(V_G,c_Message_Oparts(V_H),tc_fun(tc_Message_Omsg,tc_bool))
% 1.85/1.97 | ~ hBOOL(c_in(V_X,c_Message_Oparts(V_G),tc_Message_Omsg)) ) ).
% 1.85/1.97
% 1.85/1.97 cnf(cls_set__ConsD_0,axiom,
% 1.85/1.97 ( hBOOL(c_in(V_y,c_List_Oset(V_xs,T_a),T_a))
% 1.85/1.97 | V_y = V_x
% 1.85/1.97 | ~ hBOOL(c_in(V_y,c_List_Oset(c_List_Olist_OCons(V_x,V_xs,T_a),T_a),T_a)) ) ).
% 1.85/1.97
% 1.85/1.97 cnf(cls_Notes__imp__knows__Spy_0,axiom,
% 1.85/1.97 ( hBOOL(c_in(V_X,c_Event_Oknows(c_Message_Oagent_OSpy,V_evs),tc_Message_Omsg))
% 1.85/1.97 | ~ hBOOL(c_in(V_A,c_Event_Obad,tc_Message_Oagent))
% 1.85/1.97 | ~ hBOOL(c_in(c_Event_Oevent_ONotes(V_A,V_X),c_List_Oset(V_evs,tc_Event_Oevent),tc_Event_Oevent)) ) ).
% 1.85/1.97
% 1.85/1.97 cnf(cls_knows__Spy__subset__knows__Spy__Says_0,axiom,
% 1.85/1.97 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)) ).
% 1.85/1.97
% 1.85/1.97 cnf(cls_shrK__neq__pubK_0,axiom,
% 1.85/1.97 hAPP(c_Public_OpublicKey(V_b),V_C) != hAPP(c_Public_OshrK,V_A) ).
% 1.85/1.97
% 1.85/1.97 cnf(cls_pubK__neq__shrK_0,axiom,
% 1.85/1.97 hAPP(c_Public_OshrK,V_A) != hAPP(c_Public_OpublicKey(V_b),V_C) ).
% 1.85/1.97
% 1.85/1.97 cnf(cls_event_Osimps_I7_J_0,axiom,
% 1.85/1.97 c_Event_Oevent_ONotes(V_agent_H,V_msg_H) != c_Event_Oevent_OSays(V_agent1,V_agent2,V_msg) ).
% 1.85/1.97
% 1.85/1.97 cnf(cls_event_Osimps_I5_J_0,axiom,
% 1.85/1.97 c_Event_Oevent_OGets(V_agent_H,V_msg_H) != c_Event_Oevent_OSays(V_agent1,V_agent2,V_msg) ).
% 1.85/1.97
% 1.85/1.97 cnf(cls_event_Osimps_I6_J_0,axiom,
% 1.85/1.97 c_Event_Oevent_OSays(V_agent1,V_agent2,V_msg) != c_Event_Oevent_ONotes(V_agent_H,V_msg_H) ).
% 1.85/1.97
% 1.85/1.97 cnf(cls_event_Osimps_I4_J_0,axiom,
% 1.85/1.97 c_Event_Oevent_OSays(V_agent1,V_agent2,V_msg) != c_Event_Oevent_OGets(V_agent_H,V_msg_H) ).
% 1.85/1.97
% 1.85/1.97 cnf(cls_knows__subset__knows__Says_0,axiom,
% 1.85/1.97 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)) ).
% 1.85/1.97
% 1.85/1.97 cnf(cls_shrK__notin__image__publicKey_0,axiom,
% 1.85/1.97 ~ 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)) ).
% 1.85/1.97
% 1.85/1.97 cnf(cls_shrK__image__eq_0,axiom,
% 1.85/1.97 ( hBOOL(c_in(V_x,V_AA,tc_Message_Oagent))
% 1.85/1.97 | ~ hBOOL(c_in(hAPP(c_Public_OshrK,V_x),c_Set_Oimage(c_Public_OshrK,V_AA,tc_Message_Oagent,tc_nat),tc_nat)) ) ).
% 1.85/1.97
% 1.85/1.97 cnf(cls_shrK__image__eq_1,axiom,
% 1.85/1.97 ( hBOOL(c_in(hAPP(c_Public_OshrK,V_x),c_Set_Oimage(c_Public_OshrK,V_AA,tc_Message_Oagent,tc_nat),tc_nat))
% 1.85/1.97 | ~ hBOOL(c_in(V_x,V_AA,tc_Message_Oagent)) ) ).
% 1.85/1.97
% 1.85/1.97 cnf(cls_publicKey__notin__image__shrK_0,axiom,
% 1.85/1.97 ~ 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)) ).
% 1.85/1.97
% 1.85/1.97 cnf(cls_knows__Spy__Gets_0,axiom,
% 1.85/1.97 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) ).
% 1.85/1.97
% 1.85/1.97 cnf(cls_analz__increasing_0,axiom,
% 1.85/1.97 c_lessequals(V_H,c_Message_Oanalz(V_H),tc_fun(tc_Message_Omsg,tc_bool)) ).
% 1.85/1.97
% 1.85/1.97 cnf(cls_analz__subset__iff_0,axiom,
% 1.85/1.97 ( c_lessequals(V_G,c_Message_Oanalz(V_H),tc_fun(tc_Message_Omsg,tc_bool))
% 1.85/1.97 | ~ c_lessequals(c_Message_Oanalz(V_G),c_Message_Oanalz(V_H),tc_fun(tc_Message_Omsg,tc_bool)) ) ).
% 1.85/1.97
% 1.85/1.97 cnf(cls_analz__subset__iff_1,axiom,
% 1.85/1.97 ( c_lessequals(c_Message_Oanalz(V_G),c_Message_Oanalz(V_H),tc_fun(tc_Message_Omsg,tc_bool))
% 1.85/1.97 | ~ c_lessequals(V_G,c_Message_Oanalz(V_H),tc_fun(tc_Message_Omsg,tc_bool)) ) ).
% 1.85/1.97
% 1.85/1.97 cnf(cls_analz__mono_0,axiom,
% 1.85/1.97 ( c_lessequals(c_Message_Oanalz(V_G),c_Message_Oanalz(V_H),tc_fun(tc_Message_Omsg,tc_bool))
% 1.85/1.97 | ~ c_lessequals(V_G,V_H,tc_fun(tc_Message_Omsg,tc_bool)) ) ).
% 1.85/1.97
% 1.85/1.97 cnf(cls_parts__subset__iff_0,axiom,
% 1.85/1.97 ( c_lessequals(V_G,c_Message_Oparts(V_H),tc_fun(tc_Message_Omsg,tc_bool))
% 1.85/1.97 | ~ c_lessequals(c_Message_Oparts(V_G),c_Message_Oparts(V_H),tc_fun(tc_Message_Omsg,tc_bool)) ) ).
% 1.85/1.97
% 1.85/1.97 cnf(cls_parts__subset__iff_1,axiom,
% 1.85/1.97 ( c_lessequals(c_Message_Oparts(V_G),c_Message_Oparts(V_H),tc_fun(tc_Message_Omsg,tc_bool))
% 1.85/1.97 | ~ c_lessequals(V_G,c_Message_Oparts(V_H),tc_fun(tc_Message_Omsg,tc_bool)) ) ).
% 1.85/1.97
% 1.85/1.97 cnf(cls_parts__mono_0,axiom,
% 1.85/1.97 ( c_lessequals(c_Message_Oparts(V_G),c_Message_Oparts(V_H),tc_fun(tc_Message_Omsg,tc_bool))
% 1.85/1.97 | ~ c_lessequals(V_G,V_H,tc_fun(tc_Message_Omsg,tc_bool)) ) ).
% 1.85/1.97
% 1.85/1.97 cnf(cls_parts__increasing_0,axiom,
% 1.85/1.97 c_lessequals(V_H,c_Message_Oparts(V_H),tc_fun(tc_Message_Omsg,tc_bool)) ).
% 1.85/1.97
% 1.85/1.97 cnf(cls_imageI_0,axiom,
% 1.85/1.97 ( hBOOL(c_in(hAPP(V_f,V_x),c_Set_Oimage(V_f,V_A,T_a,T_b),T_b))
% 1.85/1.97 | ~ hBOOL(c_in(V_x,V_A,T_a)) ) ).
% 1.85/1.97
% 1.85/1.97 cnf(cls_image__eqI_0,axiom,
% 1.85/1.97 ( hBOOL(c_in(hAPP(V_f,V_x),c_Set_Oimage(V_f,V_A,T_b,T_a),T_a))
% 1.85/1.97 | ~ hBOOL(c_in(V_x,V_A,T_b)) ) ).
% 1.85/1.97
% 1.85/1.97 cnf(cls_image__iff_2,axiom,
% 1.85/1.97 ( ~ hBOOL(c_in(V_x,V_A,T_b))
% 1.85/1.97 | hBOOL(c_in(hAPP(V_f,V_x),c_Set_Oimage(V_f,V_A,T_b,T_a),T_a)) ) ).
% 1.85/1.97
% 1.85/1.97 cnf(cls_rev__image__eqI_0,axiom,
% 1.85/1.97 ( ~ hBOOL(c_in(V_x,V_A,T_aa))
% 1.85/1.97 | hBOOL(c_in(hAPP(V_f,V_x),c_Set_Oimage(V_f,V_A,T_aa,T_a),T_a)) ) ).
% 1.85/1.97
% 1.85/1.97 cnf(cls_UNIV__I_0,axiom,
% 1.85/1.97 hBOOL(c_in(V_x,c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_bool)),T_a)) ).
% 1.85/1.97
% 1.85/1.97 cnf(cls_set__mp_0,axiom,
% 1.85/1.97 ( hBOOL(c_in(V_x,V_B,T_a))
% 1.85/1.97 | ~ hBOOL(c_in(V_x,V_A,T_a))
% 1.85/1.97 | ~ c_lessequals(V_A,V_B,tc_fun(T_a,tc_bool)) ) ).
% 1.85/1.97
% 1.85/1.97 cnf(cls_subsetD_0,axiom,
% 1.85/1.97 ( hBOOL(c_in(V_c,V_B,T_a))
% 1.85/1.97 | ~ hBOOL(c_in(V_c,V_A,T_a))
% 1.85/1.97 | ~ c_lessequals(V_A,V_B,tc_fun(T_a,tc_bool)) ) ).
% 1.85/1.97
% 1.85/1.97 cnf(cls_set__rev__mp_0,axiom,
% 1.85/1.97 ( hBOOL(c_in(V_x,V_B,T_a))
% 1.85/1.97 | ~ c_lessequals(V_A,V_B,tc_fun(T_a,tc_bool))
% 1.85/1.97 | ~ hBOOL(c_in(V_x,V_A,T_a)) ) ).
% 1.85/1.97
% 1.85/1.97 cnf(cls_subset__iff_0,axiom,
% 1.85/1.97 ( hBOOL(c_in(V_t,V_B,T_a))
% 1.85/1.97 | ~ hBOOL(c_in(V_t,V_A,T_a))
% 1.85/1.97 | ~ c_lessequals(V_A,V_B,tc_fun(T_a,tc_bool)) ) ).
% 1.85/1.97
% 1.85/1.97 cnf(cls_le__funD_0,axiom,
% 1.85/1.97 ( ~ class_HOL_Oord(T_b)
% 1.85/1.97 | c_lessequals(hAPP(V_f,V_x),hAPP(V_g,V_x),T_b)
% 1.85/1.97 | ~ c_lessequals(V_f,V_g,tc_fun(T_a,T_b)) ) ).
% 1.85/1.97
% 1.85/1.97 cnf(cls_not__Cons__self_0,axiom,
% 1.85/1.97 V_xs != c_List_Olist_OCons(V_x,V_xs,T_a) ).
% 1.85/1.97
% 1.85/1.97 cnf(cls_not__Cons__self2_0,axiom,
% 1.85/1.97 c_List_Olist_OCons(V_x,V_t,T_a) != V_t ).
% 1.85/1.97
% 1.85/1.97 cnf(cls_Server__not__bad_0,axiom,
% 1.85/1.97 ~ hBOOL(c_in(c_Message_Oagent_OServer,c_Event_Obad,tc_Message_Oagent)) ).
% 1.85/1.97
% 1.85/1.97 cnf(cls_knows__subset__knows__Cons_0,axiom,
% 1.85/1.97 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)) ).
% 1.85/1.97
% 1.85/1.97 cnf(cls_knows__subset__knows__Gets_0,axiom,
% 1.85/1.97 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)) ).
% 1.85/1.97
% 1.85/1.97 cnf(cls_knows__Spy__Notes_1,axiom,
% 1.85/1.97 ( 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)
% 1.85/1.97 | hBOOL(c_in(V_A,c_Event_Obad,tc_Message_Oagent)) ) ).
% 1.85/1.97
% 1.85/1.97 cnf(cls_rangeI_0,axiom,
% 1.85/1.97 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)) ).
% 1.85/1.97
% 1.85/1.97 cnf(cls_publicKey__inject_0,axiom,
% 1.85/1.97 ( hAPP(c_Public_OpublicKey(V_b),V_A) != hAPP(c_Public_OpublicKey(V_c),V_A_H)
% 1.85/1.97 | V_b = V_c ) ).
% 1.85/1.97
% 1.85/1.97 cnf(cls_publicKey__inject_1,axiom,
% 1.85/1.97 ( hAPP(c_Public_OpublicKey(V_b),V_A) != hAPP(c_Public_OpublicKey(V_c),V_A_H)
% 1.85/1.97 | V_A = V_A_H ) ).
% 1.85/1.97
% 1.85/1.97 cnf(cls_image__subset__iff_0,axiom,
% 1.85/1.97 ( hBOOL(c_in(hAPP(V_f,V_x),V_B,T_a))
% 1.85/1.97 | ~ hBOOL(c_in(V_x,V_A,T_b))
% 1.85/1.97 | ~ c_lessequals(c_Set_Oimage(V_f,V_A,T_b,T_a),V_B,tc_fun(T_a,tc_bool)) ) ).
% 1.85/1.97
% 1.85/1.97 cnf(cls_publicKey__image__eq_0,axiom,
% 1.85/1.97 ( V_b = V_c
% 1.85/1.97 | ~ 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)) ) ).
% 1.85/1.97
% 1.85/1.97 cnf(cls_publicKey__image__eq_1,axiom,
% 1.85/1.97 ( hBOOL(c_in(V_x,V_AA,tc_Message_Oagent))
% 1.85/1.97 | ~ 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)) ) ).
% 1.85/1.97
% 1.85/1.97 cnf(cls_publicKey__image__eq_2,axiom,
% 1.85/1.97 ( 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))
% 1.85/1.97 | ~ hBOOL(c_in(V_xa,V_AA,tc_Message_Oagent)) ) ).
% 1.85/1.97
% 1.85/1.97 cnf(cls_event_Osimps_I2_J_1,axiom,
% 1.85/1.97 ( c_Event_Oevent_OGets(V_agent,V_msg) != c_Event_Oevent_OGets(V_agent_H,V_msg_H)
% 1.85/1.97 | V_msg = V_msg_H ) ).
% 1.85/1.97
% 1.85/1.97 cnf(cls_event_Osimps_I2_J_0,axiom,
% 1.85/1.97 ( c_Event_Oevent_OGets(V_agent,V_msg) != c_Event_Oevent_OGets(V_agent_H,V_msg_H)
% 1.85/1.97 | V_agent = V_agent_H ) ).
% 1.85/1.97
% 1.85/1.97 cnf(cls_top1I_0,axiom,
% 1.85/1.97 hBOOL(hAPP(c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_bool)),V_x)) ).
% 1.85/1.97
% 1.85/1.97 cnf(cls_equalityI_0,axiom,
% 1.85/1.97 ( V_A = V_B
% 1.85/1.97 | ~ c_lessequals(V_B,V_A,tc_fun(T_a,tc_bool))
% 1.85/1.97 | ~ c_lessequals(V_A,V_B,tc_fun(T_a,tc_bool)) ) ).
% 1.85/1.97
% 1.85/1.97 cnf(cls_set__eq__subset_2,axiom,
% 1.85/1.97 ( V_A = V_B
% 1.85/1.97 | ~ c_lessequals(V_B,V_A,tc_fun(T_a,tc_bool))
% 1.85/1.97 | ~ c_lessequals(V_A,V_B,tc_fun(T_a,tc_bool)) ) ).
% 1.85/1.97
% 1.85/1.97 cnf(cls_order__eq__iff_2,axiom,
% 1.85/1.97 ( ~ class_Orderings_Oorder(T_a)
% 1.85/1.97 | V_x = V_y
% 1.85/1.97 | ~ c_lessequals(V_y,V_x,T_a)
% 1.85/1.97 | ~ c_lessequals(V_x,V_y,T_a) ) ).
% 1.85/1.97
% 1.85/1.97 cnf(cls_order__antisym_0,axiom,
% 1.85/1.97 ( ~ class_Orderings_Oorder(T_a)
% 1.85/1.97 | V_x = V_y
% 1.85/1.97 | ~ c_lessequals(V_y,V_x,T_a)
% 1.85/1.97 | ~ c_lessequals(V_x,V_y,T_a) ) ).
% 1.85/1.97
% 1.85/1.97 cnf(cls_order__antisym__conv_0,axiom,
% 1.85/1.97 ( ~ class_Orderings_Oorder(T_a)
% 1.85/1.97 | V_x = V_y
% 1.85/1.97 | ~ c_lessequals(V_x,V_y,T_a)
% 1.85/1.97 | ~ c_lessequals(V_y,V_x,T_a) ) ).
% 1.85/1.97
% 1.85/1.97 cnf(cls_event_Osimps_I8_J_0,axiom,
% 1.85/1.97 c_Event_Oevent_OGets(V_agent,V_msg) != c_Event_Oevent_ONotes(V_agent_H,V_msg_H) ).
% 1.85/1.97
% 1.85/1.97 cnf(cls_event_Osimps_I3_J_1,axiom,
% 1.85/1.97 ( c_Event_Oevent_ONotes(V_agent,V_msg) != c_Event_Oevent_ONotes(V_agent_H,V_msg_H)
% 1.85/1.97 | V_msg = V_msg_H ) ).
% 1.85/1.97
% 1.85/1.97 cnf(cls_event_Osimps_I3_J_0,axiom,
% 1.85/1.97 ( c_Event_Oevent_ONotes(V_agent,V_msg) != c_Event_Oevent_ONotes(V_agent_H,V_msg_H)
% 1.85/1.97 | V_agent = V_agent_H ) ).
% 1.85/1.97
% 1.85/1.97 cnf(cls_Spy__in__bad_0,axiom,
% 1.85/1.97 hBOOL(c_in(c_Message_Oagent_OSpy,c_Event_Obad,tc_Message_Oagent)) ).
% 1.85/1.97
% 1.85/1.97 cnf(cls_set__subset__Cons_0,axiom,
% 1.85/1.97 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)) ).
% 1.85/1.97
% 1.85/1.97 cnf(cls_knows__Spy__subset__knows__Spy__Notes_0,axiom,
% 1.85/1.97 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)) ).
% 1.85/1.97
% 1.85/1.97 cnf(cls_subset__UNIV_0,axiom,
% 1.85/1.97 c_lessequals(V_A,c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)) ).
% 1.85/1.97
% 1.85/1.97 cnf(cls_top__greatest_0,axiom,
% 1.85/1.97 ( ~ class_Orderings_Otop(T_a)
% 1.85/1.97 | c_lessequals(V_x,c_Orderings_Otop__class_Otop(T_a),T_a) ) ).
% 1.85/1.97
% 1.85/1.97 cnf(cls_event_Osimps_I9_J_0,axiom,
% 1.85/1.97 c_Event_Oevent_ONotes(V_agent_H,V_msg_H) != c_Event_Oevent_OGets(V_agent,V_msg) ).
% 1.85/1.97
% 1.85/1.97 cnf(cls_xt1_I6_J_0,axiom,
% 1.85/1.97 ( ~ class_Orderings_Oorder(T_a)
% 1.85/1.97 | c_lessequals(V_z,V_x,T_a)
% 1.85/1.97 | ~ c_lessequals(V_z,V_y,T_a)
% 1.85/1.97 | ~ c_lessequals(V_y,V_x,T_a) ) ).
% 1.85/1.97
% 1.85/1.97 cnf(cls_order__trans_0,axiom,
% 1.85/1.97 ( ~ class_Orderings_Opreorder(T_a)
% 1.85/1.97 | c_lessequals(V_x,V_z,T_a)
% 1.85/1.97 | ~ c_lessequals(V_y,V_z,T_a)
% 1.85/1.97 | ~ c_lessequals(V_x,V_y,T_a) ) ).
% 1.85/1.97
% 1.85/1.97 cnf(cls_equalityE_0,axiom,
% 1.85/1.97 c_lessequals(V_x,V_x,tc_fun(T_a,tc_bool)) ).
% 1.85/1.97
% 1.85/1.97 cnf(cls_subset__refl_0,axiom,
% 1.85/1.97 c_lessequals(V_A,V_A,tc_fun(T_a,tc_bool)) ).
% 1.85/1.97
% 1.85/1.97 cnf(cls_subset__trans_0,axiom,
% 1.85/1.97 ( c_lessequals(V_A,V_C,tc_fun(T_a,tc_bool))
% 1.85/1.97 | ~ c_lessequals(V_B,V_C,tc_fun(T_a,tc_bool))
% 1.85/1.97 | ~ c_lessequals(V_A,V_B,tc_fun(T_a,tc_bool)) ) ).
% 1.85/1.97
% 1.85/1.97 cnf(cls_predicate1D_0,axiom,
% 1.85/1.97 ( hBOOL(hAPP(V_Q,V_x))
% 1.85/1.97 | ~ hBOOL(hAPP(V_P,V_x))
% 1.85/1.97 | ~ c_lessequals(V_P,V_Q,tc_fun(T_a,tc_bool)) ) ).
% 1.85/1.97
% 1.85/1.97 cnf(cls_order__eq__iff_0,axiom,
% 1.85/1.97 ( ~ class_Orderings_Oorder(T_a)
% 1.85/1.97 | c_lessequals(V_x,V_x,T_a) ) ).
% 1.85/1.97
% 1.85/1.97 cnf(cls_order__eq__refl_0,axiom,
% 1.85/1.97 ( ~ class_Orderings_Opreorder(T_a)
% 1.85/1.97 | c_lessequals(V_x,V_x,T_a) ) ).
% 1.85/1.97
% 1.85/1.97 cnf(cls_rev__predicate1D_0,axiom,
% 1.85/1.97 ( hBOOL(hAPP(V_Q,V_x))
% 1.85/1.97 | ~ c_lessequals(V_P,V_Q,tc_fun(T_a,tc_bool))
% 1.85/1.97 | ~ hBOOL(hAPP(V_P,V_x)) ) ).
% 1.85/1.97
% 1.85/1.97 cnf(cls_list_Oinject_0,axiom,
% 1.85/1.97 ( c_List_Olist_OCons(V_a,V_list,T_a) != c_List_Olist_OCons(V_a_H,V_list_H,T_a)
% 1.85/1.97 | V_a = V_a_H ) ).
% 1.85/1.97
% 1.85/1.97 cnf(cls_list_Oinject_1,axiom,
% 1.85/1.97 ( c_List_Olist_OCons(V_a,V_list,T_a) != c_List_Olist_OCons(V_a_H,V_list_H,T_a)
% 1.85/1.97 | V_list = V_list_H ) ).
% 1.85/1.97
% 1.85/1.97 cnf(cls_knows__Spy__subset__knows__Spy__Gets_0,axiom,
% 1.85/1.97 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)) ).
% 1.85/1.97
% 1.85/1.97 cnf(cls_knows__subset__knows__Notes_0,axiom,
% 1.85/1.97 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)) ).
% 1.85/1.97
% 1.85/1.97 cnf(cls_image__mono_0,axiom,
% 1.85/1.97 ( 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))
% 1.85/1.97 | ~ c_lessequals(V_A,V_B,tc_fun(T_a,tc_bool)) ) ).
% 1.85/1.97
% 1.85/1.97 cnf(cls_subset__image__iff_2,axiom,
% 1.85/1.97 ( ~ c_lessequals(V_x,V_A,tc_fun(T_b,tc_bool))
% 1.85/1.97 | 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)) ) ).
% 1.85/1.97
% 1.85/1.97 cnf(cls_used__Gets_0,axiom,
% 1.85/1.97 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) ).
% 1.85/1.97
% 1.85/1.97 cnf(cls_linorder__linear_0,axiom,
% 1.85/1.97 ( ~ class_Orderings_Olinorder(T_a)
% 1.85/1.97 | c_lessequals(V_y,V_x,T_a)
% 1.85/1.97 | c_lessequals(V_x,V_y,T_a) ) ).
% 1.85/1.97
% 1.85/1.97 cnf(cls_Spy__see__shrK_0,axiom,
% 1.85/1.97 ( hBOOL(c_in(V_A,c_Event_Obad,tc_Message_Oagent))
% 1.85/1.97 | ~ 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))
% 1.85/1.97 | ~ hBOOL(c_in(V_evs,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))) ) ).
% 1.85/1.97
% 1.85/1.97 cnf(cls_Spy__analz__shrK_0,axiom,
% 1.85/1.97 ( hBOOL(c_in(V_A,c_Event_Obad,tc_Message_Oagent))
% 1.85/1.97 | ~ 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))
% 1.85/1.97 | ~ hBOOL(c_in(V_evs,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))) ) ).
% 1.85/1.97
% 1.85/1.97 cnf(cls_Spy__analz__shrK_1,axiom,
% 1.85/1.97 ( 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))
% 1.85/1.97 | ~ hBOOL(c_in(V_A,c_Event_Obad,tc_Message_Oagent))
% 1.85/1.97 | ~ hBOOL(c_in(V_evs,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))) ) ).
% 1.85/1.97
% 1.85/1.97 cnf(cls_parts__knows__Spy__subset__used_0,axiom,
% 1.85/1.97 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)) ).
% 1.85/1.97
% 1.85/1.97 cnf(cls_Crypt__imp__keysFor_0,axiom,
% 1.85/1.97 ( hBOOL(c_in(V_K,c_Message_OkeysFor(V_H),tc_nat))
% 1.85/1.97 | ~ hBOOL(c_in(V_K,c_Message_OsymKeys,tc_nat))
% 1.85/1.97 | ~ hBOOL(c_in(c_Message_Omsg_OCrypt(V_K,V_X),V_H,tc_Message_Omsg)) ) ).
% 1.85/1.97
% 1.97/1.97 cnf(cls_Notes__imp__knows_0,axiom,
% 1.97/1.97 ( hBOOL(c_in(V_X,c_Event_Oknows(V_A,V_evs),tc_Message_Omsg))
% 1.97/1.97 | ~ hBOOL(c_in(c_Event_Oevent_ONotes(V_A,V_X),c_List_Oset(V_evs,tc_Event_Oevent),tc_Event_Oevent)) ) ).
% 1.97/1.97
% 1.97/1.97 cnf(cls_Notes__imp__used_0,axiom,
% 1.97/1.97 ( hBOOL(c_in(V_X,c_Event_Oused(V_evs),tc_Message_Omsg))
% 1.97/1.97 | ~ hBOOL(c_in(c_Event_Oevent_ONotes(V_A,V_X),c_List_Oset(V_evs,tc_Event_Oevent),tc_Event_Oevent)) ) ).
% 1.97/1.97
% 1.97/1.97 cnf(cls_analz__spies__pubK_0,axiom,
% 1.97/1.97 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)) ).
% 1.97/1.97
% 1.97/1.97 cnf(cls_analz__mono__contra_I1_J_0,axiom,
% 1.97/1.97 ( ~ hBOOL(c_in(V_c,c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,V_evs)),tc_Message_Omsg))
% 1.97/1.97 | 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)) ) ).
% 1.97/1.97
% 1.97/1.97 cnf(cls_ns__sharedp_ONS3_0,axiom,
% 1.97/1.97 ( 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)))
% 1.97/1.97 | ~ 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))
% 1.97/1.97 | ~ 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))
% 1.97/1.97 | V_A = c_Message_Oagent_OServer
% 1.97/1.97 | ~ hBOOL(c_NS__Shared__Mirabelle_Ons__sharedp(V_evs3)) ) ).
% 1.97/1.97
% 1.97/1.97 cnf(cls_B__trusts__NS3_0,axiom,
% 1.97/1.97 ( 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))
% 1.97/1.97 | ~ hBOOL(c_in(V_evs,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent)))
% 1.97/1.97 | hBOOL(c_in(V_B,c_Event_Obad,tc_Message_Oagent))
% 1.97/1.97 | ~ 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)) ) ).
% 1.97/1.97
% 1.97/1.97 cnf(cls_Gets__imp__knows__agents_0,axiom,
% 1.97/1.97 ( hBOOL(c_in(V_X,c_Event_Oknows(V_A,V_evs),tc_Message_Omsg))
% 1.97/1.97 | ~ hBOOL(c_in(c_Event_Oevent_OGets(V_A,V_X),c_List_Oset(V_evs,tc_Event_Oevent),tc_Event_Oevent))
% 1.97/1.97 | V_A = c_Message_Oagent_OSpy ) ).
% 1.97/1.97
% 1.97/1.97 cnf(cls_cert__A__form_1,axiom,
% 1.97/1.97 ( 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)))
% 1.97/1.97 | ~ hBOOL(c_in(V_evs,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent)))
% 1.97/1.97 | hBOOL(c_in(V_A,c_Event_Obad,tc_Message_Oagent))
% 1.97/1.97 | ~ 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)) ) ).
% 1.97/1.97
% 1.97/1.97 cnf(cls_ns__sharedp_ONS5_0,axiom,
% 1.97/1.97 ( 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)))
% 1.97/1.97 | ~ 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))
% 1.97/1.97 | ~ 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))
% 1.97/1.97 | ~ hBOOL(c_in(V_K,c_Message_OsymKeys,tc_nat))
% 1.97/1.97 | ~ hBOOL(c_NS__Shared__Mirabelle_Ons__sharedp(V_evs5)) ) ).
% 1.97/1.97
% 1.97/1.97 cnf(cls_Says__Server__message__form_0,axiom,
% 1.97/1.97 ( ~ 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))
% 1.97/1.97 | ~ hBOOL(c_in(V_evs,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent)))
% 1.97/1.97 | ~ 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)) ) ).
% 1.97/1.97
% 1.97/1.97 cnf(cls_ns__sharedp_ONS4_0,axiom,
% 1.97/1.97 ( 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)))
% 1.97/1.97 | ~ 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))
% 1.97/1.97 | ~ hBOOL(c_in(V_K,c_Message_OsymKeys,tc_nat))
% 1.97/1.97 | hBOOL(c_in(c_Message_Omsg_ONonce(V_NB),c_Event_Oused(V_evs4),tc_Message_Omsg))
% 1.97/1.97 | ~ hBOOL(c_NS__Shared__Mirabelle_Ons__sharedp(V_evs4)) ) ).
% 1.97/1.97
% 1.97/1.97 cnf(cls_ns__shared_OOops_0,axiom,
% 1.97/1.97 ( 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)))
% 1.97/1.97 | ~ 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))
% 1.97/1.97 | ~ 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))
% 1.97/1.97 | ~ hBOOL(c_in(V_evso,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))) ) ).
% 1.97/1.97
% 1.97/1.97 cnf(cls_ns__sharedp_ONS2_0,axiom,
% 1.97/1.97 ( 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)))
% 1.97/1.97 | ~ 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))
% 1.97/1.97 | ~ hBOOL(c_in(V_KAB,c_Message_OsymKeys,tc_nat))
% 1.97/1.97 | hBOOL(c_in(hAPP(c_Message_Omsg_OKey,V_KAB),c_Event_Oused(V_evs2),tc_Message_Omsg))
% 1.97/1.97 | ~ hBOOL(c_NS__Shared__Mirabelle_Ons__sharedp(V_evs2)) ) ).
% 1.97/1.97
% 1.97/1.97 cnf(cls_A__trusts__NS2_0,axiom,
% 1.97/1.97 ( 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))
% 1.97/1.97 | ~ hBOOL(c_in(V_evs,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent)))
% 1.97/1.97 | hBOOL(c_in(V_A,c_Event_Obad,tc_Message_Oagent))
% 1.97/1.97 | ~ 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)) ) ).
% 1.97/1.97
% 1.97/1.97 cnf(cls_Says__S__message__form_0,axiom,
% 1.97/1.97 ( hBOOL(c_in(V_X,c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,V_evs)),tc_Message_Omsg))
% 1.97/1.97 | ~ 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))
% 1.97/1.97 | ~ hBOOL(c_in(V_evs,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent)))
% 1.97/1.97 | ~ 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)) ) ).
% 1.97/1.97
% 1.97/1.97 cnf(cls_ns__shared_ONS1_0,axiom,
% 1.97/1.97 ( 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)))
% 1.97/1.97 | hBOOL(c_in(c_Message_Omsg_ONonce(V_NA),c_Event_Oused(V_evs1),tc_Message_Omsg))
% 1.97/1.97 | ~ hBOOL(c_in(V_evs1,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))) ) ).
% 1.97/1.97
% 1.97/1.97 cnf(cls_new__keys__not__used_0,axiom,
% 1.97/1.97 ( ~ hBOOL(c_in(V_K,c_Message_OkeysFor(c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,V_evs))),tc_nat))
% 1.97/1.97 | ~ hBOOL(c_in(V_evs,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent)))
% 1.97/1.97 | ~ hBOOL(c_in(V_K,c_Message_OsymKeys,tc_nat))
% 1.97/1.97 | hBOOL(c_in(hAPP(c_Message_Omsg_OKey,V_K),c_Event_Oused(V_evs),tc_Message_Omsg)) ) ).
% 1.97/1.97
% 1.97/1.97 cnf(cls_ns__shared_ONS3_0,axiom,
% 1.97/1.97 ( 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)))
% 1.97/1.97 | ~ 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))
% 1.97/1.97 | ~ 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))
% 1.97/1.97 | V_A = c_Message_Oagent_OServer
% 1.97/1.97 | ~ hBOOL(c_in(V_evs3,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))) ) ).
% 1.97/1.97
% 1.97/1.97 cnf(cls_ns__shared_ONS5_0,axiom,
% 1.97/1.97 ( 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)))
% 1.97/1.97 | ~ 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))
% 1.97/1.97 | ~ 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))
% 1.97/1.97 | ~ hBOOL(c_in(V_K,c_Message_OsymKeys,tc_nat))
% 1.97/1.97 | ~ hBOOL(c_in(V_evs5,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))) ) ).
% 1.97/1.97
% 1.97/1.97 cnf(cls_ns__shared_ONS4_0,axiom,
% 1.97/1.97 ( 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)))
% 1.97/1.97 | ~ 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))
% 1.97/1.97 | ~ hBOOL(c_in(V_K,c_Message_OsymKeys,tc_nat))
% 1.97/1.97 | hBOOL(c_in(c_Message_Omsg_ONonce(V_NB),c_Event_Oused(V_evs4),tc_Message_Omsg))
% 1.97/1.97 | ~ hBOOL(c_in(V_evs4,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))) ) ).
% 1.97/1.97
% 1.97/1.97 cnf(cls_ns__shared_ONS2_0,axiom,
% 1.97/1.97 ( 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)))
% 1.97/1.97 | ~ 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))
% 1.97/1.97 | ~ hBOOL(c_in(V_KAB,c_Message_OsymKeys,tc_nat))
% 1.97/1.97 | hBOOL(c_in(hAPP(c_Message_Omsg_OKey,V_KAB),c_Event_Oused(V_evs2),tc_Message_Omsg))
% 1.97/1.97 | ~ hBOOL(c_in(V_evs2,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))) ) ).
% 1.97/1.97
% 1.97/1.97 cnf(cls_sym__shrK_0,axiom,
% 1.97/1.97 hBOOL(c_in(hAPP(c_Public_OshrK,V_X),c_Message_OsymKeys,tc_nat)) ).
% 1.97/1.97
% 1.97/1.97 cnf(cls_msg_Osimps_I1_J_0,axiom,
% 1.97/1.97 ( c_Message_Omsg_OAgent(V_agent) != c_Message_Omsg_OAgent(V_agent_H)
% 1.97/1.97 | V_agent = V_agent_H ) ).
% 1.97/1.97
% 1.97/1.97 cnf(cls_parts__analz_0,axiom,
% 1.97/1.97 c_Message_Oparts(c_Message_Oanalz(V_H)) = c_Message_Oparts(V_H) ).
% 1.97/1.97
% 1.97/1.97 cnf(cls_Says__imp__knows_0,axiom,
% 1.97/1.97 ( hBOOL(c_in(V_X,c_Event_Oknows(V_A,V_evs),tc_Message_Omsg))
% 1.97/1.97 | ~ hBOOL(c_in(c_Event_Oevent_OSays(V_A,V_B,V_X),c_List_Oset(V_evs,tc_Event_Oevent),tc_Event_Oevent)) ) ).
% 1.97/1.97
% 1.97/1.97 cnf(cls_analz__idem_0,axiom,
% 1.97/1.97 c_Message_Oanalz(c_Message_Oanalz(V_H)) = c_Message_Oanalz(V_H) ).
% 1.97/1.97
% 1.97/1.97 cnf(cls_analz_OSnd_0,axiom,
% 1.97/1.97 ( hBOOL(c_in(V_Y,c_Message_Oanalz(V_H),tc_Message_Omsg))
% 1.97/1.97 | ~ hBOOL(c_in(c_Message_Omsg_OMPair(V_X,V_Y),c_Message_Oanalz(V_H),tc_Message_Omsg)) ) ).
% 1.97/1.97
% 1.97/1.97 cnf(cls_analz_OFst_0,axiom,
% 1.97/1.97 ( hBOOL(c_in(V_X,c_Message_Oanalz(V_H),tc_Message_Omsg))
% 1.97/1.97 | ~ hBOOL(c_in(c_Message_Omsg_OMPair(V_X,V_Y),c_Message_Oanalz(V_H),tc_Message_Omsg)) ) ).
% 1.97/1.97
% 1.97/1.97 cnf(cls_parts_OSnd_0,axiom,
% 1.97/1.97 ( hBOOL(c_in(V_Y,c_Message_Oparts(V_H),tc_Message_Omsg))
% 1.97/1.97 | ~ hBOOL(c_in(c_Message_Omsg_OMPair(V_X,V_Y),c_Message_Oparts(V_H),tc_Message_Omsg)) ) ).
% 1.97/1.97
% 1.97/1.97 cnf(cls_parts_OFst_0,axiom,
% 1.97/1.97 ( hBOOL(c_in(V_X,c_Message_Oparts(V_H),tc_Message_Omsg))
% 1.97/1.97 | ~ hBOOL(c_in(c_Message_Omsg_OMPair(V_X,V_Y),c_Message_Oparts(V_H),tc_Message_Omsg)) ) ).
% 1.97/1.97
% 1.97/1.97 cnf(cls_MPair__used_1,axiom,
% 1.97/1.97 ( hBOOL(c_in(V_Y,c_Event_Oused(V_H),tc_Message_Omsg))
% 1.97/1.97 | ~ hBOOL(c_in(c_Message_Omsg_OMPair(V_X,V_Y),c_Event_Oused(V_H),tc_Message_Omsg)) ) ).
% 1.97/1.97
% 1.97/1.97 cnf(cls_MPair__used_0,axiom,
% 1.97/1.97 ( hBOOL(c_in(V_X,c_Event_Oused(V_H),tc_Message_Omsg))
% 1.97/1.97 | ~ hBOOL(c_in(c_Message_Omsg_OMPair(V_X,V_Y),c_Event_Oused(V_H),tc_Message_Omsg)) ) ).
% 1.97/1.97
% 1.97/1.97 cnf(cls_msg_Osimps_I37_J_0,axiom,
% 1.97/1.97 c_Message_Omsg_OCrypt(V_nat_H,V_msg_H) != c_Message_Omsg_ONonce(V_nat) ).
% 1.97/1.97
% 1.97/1.97 cnf(cls_msg_Osimps_I12_J_0,axiom,
% 1.97/1.97 c_Message_Omsg_OAgent(V_agent) != hAPP(c_Message_Omsg_OKey,V_nat_H) ).
% 1.97/1.97
% 1.97/1.97 cnf(cls_msg_Osimps_I31_J_0,axiom,
% 1.97/1.97 hAPP(c_Message_Omsg_OKey,V_nat_H) != c_Message_Omsg_ONonce(V_nat) ).
% 1.97/1.97
% 1.97/1.97 cnf(cls_analz__Decrypt_H_0,axiom,
% 1.97/1.97 ( hBOOL(c_in(V_X,c_Message_Oanalz(V_H),tc_Message_Omsg))
% 1.97/1.97 | ~ hBOOL(c_in(hAPP(c_Message_Omsg_OKey,V_K),c_Message_Oanalz(V_H),tc_Message_Omsg))
% 1.97/1.97 | ~ hBOOL(c_in(V_K,c_Message_OsymKeys,tc_nat))
% 1.97/1.97 | ~ hBOOL(c_in(c_Message_Omsg_OCrypt(V_K,V_X),c_Message_Oanalz(V_H),tc_Message_Omsg)) ) ).
% 1.97/1.97
% 1.97/1.97 cnf(cls_event_Osimps_I1_J_0,axiom,
% 1.97/1.97 ( c_Event_Oevent_OSays(V_agent1,V_agent2,V_msg) != c_Event_Oevent_OSays(V_agent1_H,V_agent2_H,V_msg_H)
% 1.97/1.97 | V_agent1 = V_agent1_H ) ).
% 1.97/1.97
% 1.97/1.97 cnf(cls_event_Osimps_I1_J_1,axiom,
% 1.97/1.97 ( c_Event_Oevent_OSays(V_agent1,V_agent2,V_msg) != c_Event_Oevent_OSays(V_agent1_H,V_agent2_H,V_msg_H)
% 1.97/1.97 | V_agent2 = V_agent2_H ) ).
% 1.97/1.97
% 1.97/1.97 cnf(cls_event_Osimps_I1_J_2,axiom,
% 1.97/1.97 ( c_Event_Oevent_OSays(V_agent1,V_agent2,V_msg) != c_Event_Oevent_OSays(V_agent1_H,V_agent2_H,V_msg_H)
% 1.97/1.97 | V_msg = V_msg_H ) ).
% 1.97/1.97
% 1.97/1.97 cnf(cls_parts_OInj_0,axiom,
% 1.97/1.97 ( hBOOL(c_in(V_X,c_Message_Oparts(V_H),tc_Message_Omsg))
% 1.97/1.97 | ~ hBOOL(c_in(V_X,V_H,tc_Message_Omsg)) ) ).
% 1.97/1.97
% 1.97/1.97 cnf(cls_analz_OInj_0,axiom,
% 1.97/1.97 ( hBOOL(c_in(V_X,c_Message_Oanalz(V_H),tc_Message_Omsg))
% 1.97/1.97 | ~ hBOOL(c_in(V_X,V_H,tc_Message_Omsg)) ) ).
% 1.97/1.97
% 1.97/1.97 cnf(cls_Says__imp__parts__knows__Spy_0,axiom,
% 1.97/1.97 ( hBOOL(c_in(V_X,c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,V_evs)),tc_Message_Omsg))
% 1.97/1.97 | ~ hBOOL(c_in(c_Event_Oevent_OSays(V_A,V_B,V_X),c_List_Oset(V_evs,tc_Event_Oevent),tc_Event_Oevent)) ) ).
% 1.97/1.97
% 1.97/1.97 cnf(cls_Says__imp__spies_0,axiom,
% 1.97/1.97 ( hBOOL(c_in(V_X,c_Event_Oknows(c_Message_Oagent_OSpy,V_evs),tc_Message_Omsg))
% 1.97/1.97 | ~ hBOOL(c_in(c_Event_Oevent_OSays(V_A,V_B,V_X),c_List_Oset(V_evs,tc_Event_Oevent),tc_Event_Oevent)) ) ).
% 1.97/1.97
% 1.97/1.97 cnf(cls_usedI_0,axiom,
% 1.97/1.97 ( hBOOL(c_in(V_c,c_Event_Oused(V_evs),tc_Message_Omsg))
% 1.97/1.97 | ~ hBOOL(c_in(V_c,c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,V_evs)),tc_Message_Omsg)) ) ).
% 1.97/1.97
% 1.97/1.98 cnf(cls_NS3__msg__in__parts__spies_0,axiom,
% 1.97/1.98 ( hBOOL(c_in(V_X,c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,V_evs)),tc_Message_Omsg))
% 1.97/1.98 | ~ 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)) ) ).
% 1.97/1.98
% 1.97/1.98 cnf(cls_msg_Osimps_I43_J_0,axiom,
% 1.97/1.98 c_Message_Omsg_OCrypt(V_nat_H,V_msg_H) != hAPP(c_Message_Omsg_OKey,V_nat) ).
% 1.97/1.98
% 1.97/1.98 cnf(cls_parts__idem_0,axiom,
% 1.97/1.98 c_Message_Oparts(c_Message_Oparts(V_H)) = c_Message_Oparts(V_H) ).
% 1.97/1.98
% 1.97/1.98 cnf(cls_msg_Osimps_I30_J_0,axiom,
% 1.97/1.98 c_Message_Omsg_ONonce(V_nat) != hAPP(c_Message_Omsg_OKey,V_nat_H) ).
% 1.97/1.98
% 1.97/1.98 cnf(cls_analz__parts_0,axiom,
% 1.97/1.98 c_Message_Oanalz(c_Message_Oparts(V_H)) = c_Message_Oparts(V_H) ).
% 1.97/1.98
% 1.97/1.98 cnf(cls_msg_Osimps_I17_J_0,axiom,
% 1.97/1.98 c_Message_Omsg_OMPair(V_msg1_H,V_msg2_H) != c_Message_Omsg_OAgent(V_agent) ).
% 1.97/1.98
% 1.97/1.98 cnf(cls_Says__Server__message__form_2,axiom,
% 1.97/1.98 ( V_K_H = hAPP(c_Public_OshrK,V_A)
% 1.97/1.98 | ~ hBOOL(c_in(V_evs,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent)))
% 1.97/1.98 | ~ 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)) ) ).
% 1.97/1.98
% 1.97/1.98 cnf(cls_msg_Osimps_I11_J_0,axiom,
% 1.97/1.98 c_Message_Omsg_ONonce(V_nat_H) != c_Message_Omsg_OAgent(V_agent) ).
% 1.97/1.98
% 1.97/1.98 cnf(cls_parts_OBody_0,axiom,
% 1.97/1.98 ( hBOOL(c_in(V_X,c_Message_Oparts(V_H),tc_Message_Omsg))
% 1.97/1.98 | ~ hBOOL(c_in(c_Message_Omsg_OCrypt(V_K,V_X),c_Message_Oparts(V_H),tc_Message_Omsg)) ) ).
% 1.97/1.98
% 1.97/1.98 cnf(cls_analz__shrK__Decrypt_0,axiom,
% 1.97/1.98 ( hBOOL(c_in(V_X,c_Message_Oanalz(V_H),tc_Message_Omsg))
% 1.97/1.98 | ~ hBOOL(c_in(hAPP(c_Message_Omsg_OKey,hAPP(c_Public_OshrK,V_A)),c_Message_Oanalz(V_H),tc_Message_Omsg))
% 1.97/1.98 | ~ hBOOL(c_in(c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,V_A),V_X),c_Message_Oanalz(V_H),tc_Message_Omsg)) ) ).
% 1.97/1.98
% 1.97/1.98 cnf(cls_agent_Osimps_I4_J_0,axiom,
% 1.97/1.98 c_Message_Oagent_OServer != c_Message_Oagent_OSpy ).
% 1.97/1.98
% 1.97/1.98 cnf(cls_Says__imp__analz__Spy_0,axiom,
% 1.97/1.98 ( hBOOL(c_in(V_X,c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,V_evs)),tc_Message_Omsg))
% 1.97/1.98 | ~ hBOOL(c_in(c_Event_Oevent_OSays(V_A,V_B,V_X),c_List_Oset(V_evs,tc_Event_Oevent),tc_Event_Oevent)) ) ).
% 1.97/1.98
% 1.97/1.98 cnf(cls_parts__partsD_0,axiom,
% 1.97/1.98 ( hBOOL(c_in(V_X,c_Message_Oparts(V_H),tc_Message_Omsg))
% 1.97/1.98 | ~ hBOOL(c_in(V_X,c_Message_Oparts(c_Message_Oparts(V_H)),tc_Message_Omsg)) ) ).
% 1.97/1.98
% 1.97/1.98 cnf(cls_unique__session__keys_0,axiom,
% 1.97/1.98 ( V_A = V_A_H
% 1.97/1.98 | ~ hBOOL(c_in(V_evs,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent)))
% 1.97/1.98 | ~ 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))
% 1.97/1.98 | ~ 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)) ) ).
% 1.97/1.98
% 1.97/1.98 cnf(cls_unique__session__keys_1,axiom,
% 1.97/1.98 ( V_NA = V_NA_H
% 1.97/1.98 | ~ hBOOL(c_in(V_evs,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent)))
% 1.97/1.98 | ~ 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))
% 1.97/1.98 | ~ 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)) ) ).
% 1.97/1.98
% 1.97/1.98 cnf(cls_unique__session__keys_2,axiom,
% 1.97/1.98 ( V_B = V_B_H
% 1.97/1.98 | ~ hBOOL(c_in(V_evs,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent)))
% 1.97/1.98 | ~ 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))
% 1.97/1.98 | ~ 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)) ) ).
% 1.97/1.98
% 1.97/1.98 cnf(cls_unique__session__keys_3,axiom,
% 1.97/1.98 ( V_X = V_X_H
% 1.97/1.98 | ~ hBOOL(c_in(V_evs,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent)))
% 1.97/1.98 | ~ 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))
% 1.97/1.98 | ~ 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)) ) ).
% 1.97/1.98
% 1.97/1.98 cnf(cls_msg_Osimps_I4_J_0,axiom,
% 1.97/1.98 ( hAPP(c_Message_Omsg_OKey,V_nat) != hAPP(c_Message_Omsg_OKey,V_nat_H)
% 1.97/1.98 | V_nat = V_nat_H ) ).
% 1.97/1.98
% 1.97/1.98 cnf(cls_msg_Osimps_I16_J_0,axiom,
% 1.97/1.98 c_Message_Omsg_OAgent(V_agent) != c_Message_Omsg_OMPair(V_msg1_H,V_msg2_H) ).
% 1.97/1.98
% 1.97/1.98 cnf(cls_Oops__parts__spies_0,axiom,
% 1.97/1.98 ( hBOOL(c_in(V_K,c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,V_evs)),tc_Message_Omsg))
% 1.97/1.98 | ~ 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)) ) ).
% 1.97/1.98
% 1.97/1.98 cnf(cls_Says__imp__used_0,axiom,
% 1.97/1.98 ( hBOOL(c_in(V_X,c_Event_Oused(V_evs),tc_Message_Omsg))
% 1.97/1.98 | ~ hBOOL(c_in(c_Event_Oevent_OSays(V_A,V_B,V_X),c_List_Oset(V_evs,tc_Event_Oevent),tc_Event_Oevent)) ) ).
% 1.97/1.98
% 1.97/1.98 cnf(cls_msg_Osimps_I18_J_0,axiom,
% 1.97/1.98 c_Message_Omsg_OAgent(V_agent) != c_Message_Omsg_OCrypt(V_nat_H,V_msg_H) ).
% 1.97/1.98
% 1.97/1.98 cnf(cls_msg_Osimps_I34_J_0,axiom,
% 1.97/1.98 c_Message_Omsg_ONonce(V_nat) != c_Message_Omsg_OMPair(V_msg1_H,V_msg2_H) ).
% 1.97/1.98
% 1.97/1.98 cnf(cls_msg_Osimps_I48_J_0,axiom,
% 1.97/1.98 c_Message_Omsg_OMPair(V_msg1,V_msg2) != c_Message_Omsg_OCrypt(V_nat_H,V_msg_H) ).
% 1.97/1.98
% 1.97/1.98 cnf(cls_msg_Osimps_I19_J_0,axiom,
% 1.97/1.98 c_Message_Omsg_OCrypt(V_nat_H,V_msg_H) != c_Message_Omsg_OAgent(V_agent) ).
% 1.97/1.98
% 1.97/1.98 cnf(cls_shrK__in__knows_0,axiom,
% 1.97/1.98 hBOOL(c_in(hAPP(c_Message_Omsg_OKey,hAPP(c_Public_OshrK,V_A)),c_Event_Oknows(V_A,V_evs),tc_Message_Omsg)) ).
% 1.97/1.98
% 1.97/1.98 cnf(cls_msg_Osimps_I13_J_0,axiom,
% 1.97/1.98 hAPP(c_Message_Omsg_OKey,V_nat_H) != c_Message_Omsg_OAgent(V_agent) ).
% 1.97/1.98
% 1.97/1.98 cnf(cls_analz__analzD_0,axiom,
% 1.97/1.98 ( hBOOL(c_in(V_X,c_Message_Oanalz(V_H),tc_Message_Omsg))
% 1.97/1.98 | ~ hBOOL(c_in(V_X,c_Message_Oanalz(c_Message_Oanalz(V_H)),tc_Message_Omsg)) ) ).
% 1.97/1.98
% 1.97/1.98 cnf(cls_msg_Osimps_I3_J_0,axiom,
% 1.97/1.98 ( c_Message_Omsg_ONonce(V_nat) != c_Message_Omsg_ONonce(V_nat_H)
% 1.97/1.98 | V_nat = V_nat_H ) ).
% 1.97/1.98
% 1.97/1.98 cnf(cls_mem__def_1,axiom,
% 1.97/1.98 ( hBOOL(c_in(V_x,V_S,T_a))
% 1.97/1.98 | ~ hBOOL(hAPP(V_S,V_x)) ) ).
% 1.97/1.98
% 1.97/1.98 cnf(cls_mem__def_0,axiom,
% 1.97/1.98 ( hBOOL(hAPP(V_S,V_x))
% 1.97/1.98 | ~ hBOOL(c_in(V_x,V_S,T_a)) ) ).
% 1.97/1.98
% 1.97/1.98 cnf(cls_msg_Osimps_I36_J_0,axiom,
% 1.97/1.98 c_Message_Omsg_ONonce(V_nat) != c_Message_Omsg_OCrypt(V_nat_H,V_msg_H) ).
% 1.97/1.98
% 1.97/1.98 cnf(cls_msg_Osimps_I7_J_0,axiom,
% 1.97/1.98 ( c_Message_Omsg_OCrypt(V_nat,V_msg) != c_Message_Omsg_OCrypt(V_nat_H,V_msg_H)
% 1.97/1.98 | V_nat = V_nat_H ) ).
% 1.97/1.98
% 1.97/1.98 cnf(cls_msg_Osimps_I7_J_1,axiom,
% 1.97/1.98 ( c_Message_Omsg_OCrypt(V_nat,V_msg) != c_Message_Omsg_OCrypt(V_nat_H,V_msg_H)
% 1.97/1.98 | V_msg = V_msg_H ) ).
% 1.97/1.98
% 1.97/1.98 cnf(cls_Says__S__message__form_1,axiom,
% 1.97/1.98 ( hBOOL(c_in(V_X,c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,V_evs)),tc_Message_Omsg))
% 1.97/1.98 | 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)))
% 1.97/1.98 | ~ hBOOL(c_in(V_evs,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent)))
% 1.97/1.98 | ~ 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)) ) ).
% 1.97/1.98
% 1.97/1.98 cnf(cls_msg_Osimps_I10_J_0,axiom,
% 1.97/1.98 c_Message_Omsg_OAgent(V_agent) != c_Message_Omsg_ONonce(V_nat_H) ).
% 1.97/1.98
% 1.97/1.98 cnf(cls_msg_Osimps_I6_J_0,axiom,
% 1.97/1.98 ( c_Message_Omsg_OMPair(V_msg1,V_msg2) != c_Message_Omsg_OMPair(V_msg1_H,V_msg2_H)
% 1.97/1.98 | V_msg1 = V_msg1_H ) ).
% 1.97/1.98
% 1.97/1.98 cnf(cls_msg_Osimps_I6_J_1,axiom,
% 1.97/1.98 ( c_Message_Omsg_OMPair(V_msg1,V_msg2) != c_Message_Omsg_OMPair(V_msg1_H,V_msg2_H)
% 1.97/1.98 | V_msg2 = V_msg2_H ) ).
% 1.97/1.98
% 1.97/1.98 cnf(cls_agent_Osimps_I5_J_0,axiom,
% 1.97/1.98 c_Message_Oagent_OSpy != c_Message_Oagent_OServer ).
% 1.97/1.98
% 1.97/1.98 cnf(cls_msg_Osimps_I35_J_0,axiom,
% 1.97/1.98 c_Message_Omsg_OMPair(V_msg1_H,V_msg2_H) != c_Message_Omsg_ONonce(V_nat) ).
% 1.97/1.98
% 1.97/1.98 cnf(cls_msg_Osimps_I49_J_0,axiom,
% 1.97/1.98 c_Message_Omsg_OCrypt(V_nat_H,V_msg_H) != c_Message_Omsg_OMPair(V_msg1,V_msg2) ).
% 1.97/1.98
% 1.97/1.98 cnf(cls_Says__Server__message__form_1,axiom,
% 1.97/1.98 ( 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)))
% 1.97/1.98 | ~ hBOOL(c_in(V_evs,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent)))
% 1.97/1.98 | ~ 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)) ) ).
% 1.97/1.98
% 1.97/1.98 cnf(cls_msg_Osimps_I40_J_0,axiom,
% 1.97/1.98 hAPP(c_Message_Omsg_OKey,V_nat) != c_Message_Omsg_OMPair(V_msg1_H,V_msg2_H) ).
% 1.97/1.98
% 1.97/1.98 cnf(cls_shrK__in__used_0,axiom,
% 1.97/1.98 hBOOL(c_in(hAPP(c_Message_Omsg_OKey,hAPP(c_Public_OshrK,V_A)),c_Event_Oused(V_evs),tc_Message_Omsg)) ).
% 1.97/1.98
% 1.97/1.98 cnf(cls_neq__shrK_0,axiom,
% 1.97/1.98 hBOOL(c_in(hAPP(c_Message_Omsg_OKey,hAPP(c_Public_OshrK,V_B)),c_Event_Oused(V_evs),tc_Message_Omsg)) ).
% 1.97/1.98
% 1.97/1.98 cnf(cls_msg_Osimps_I41_J_0,axiom,
% 1.97/1.98 c_Message_Omsg_OMPair(V_msg1_H,V_msg2_H) != hAPP(c_Message_Omsg_OKey,V_nat) ).
% 1.97/1.98
% 1.97/1.98 cnf(cls_msg_Osimps_I42_J_0,axiom,
% 1.97/1.98 hAPP(c_Message_Omsg_OKey,V_nat) != c_Message_Omsg_OCrypt(V_nat_H,V_msg_H) ).
% 1.97/1.98
% 1.97/1.98 cnf(cls_shrK__injective_0,axiom,
% 1.97/1.98 ( hAPP(c_Public_OshrK,V_x) != hAPP(c_Public_OshrK,V_y)
% 1.97/1.98 | V_x = V_y ) ).
% 1.97/1.98
% 1.97/1.98 cnf(cls_not__parts__not__analz_0,axiom,
% 1.97/1.98 ( ~ hBOOL(c_in(V_c,c_Message_Oanalz(V_H),tc_Message_Omsg))
% 1.97/1.98 | hBOOL(c_in(V_c,c_Message_Oparts(V_H),tc_Message_Omsg)) ) ).
% 1.97/1.98
% 1.97/1.98 cnf(cls_analz__into__parts_0,axiom,
% 1.97/1.98 ( hBOOL(c_in(V_c,c_Message_Oparts(V_H),tc_Message_Omsg))
% 1.97/1.98 | ~ hBOOL(c_in(V_c,c_Message_Oanalz(V_H),tc_Message_Omsg)) ) ).
% 1.97/1.98
% 1.97/1.98 cnf(cls_analz__conj__parts_0,axiom,
% 1.97/1.98 ( hBOOL(c_in(V_X,c_Message_Oparts(V_H),tc_Message_Omsg))
% 1.97/1.98 | ~ hBOOL(c_in(V_X,c_Message_Oanalz(V_H),tc_Message_Omsg)) ) ).
% 1.97/1.98
% 1.97/1.98 cnf(cls_conjecture_0,negated_conjecture,
% 1.97/1.98 hBOOL(c_in(v_evs2,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))) ).
% 1.97/1.98
% 1.97/1.98 cnf(cls_conjecture_1,negated_conjecture,
% 1.97/1.98 ~ hBOOL(c_in(hAPP(c_Message_Omsg_OKey,v_KAB),c_Event_Oused(v_evs2),tc_Message_Omsg)) ).
% 1.97/1.98
% 1.97/1.98 cnf(cls_conjecture_2,negated_conjecture,
% 1.97/1.98 hBOOL(c_in(v_KAB,c_Message_OsymKeys,tc_nat)) ).
% 1.97/1.98
% 1.97/1.98 cnf(cls_conjecture_3,negated_conjecture,
% 1.97/1.98 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)) ).
% 1.97/1.98
% 1.97/1.98 cnf(cls_conjecture_4,negated_conjecture,
% 1.97/1.98 ~ 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)) ).
% 1.97/1.98
% 1.97/1.98 cnf(cls_conjecture_5,negated_conjecture,
% 1.97/1.98 v_A = v_Aa ).
% 1.97/1.98
% 1.97/1.98 cnf(cls_conjecture_6,negated_conjecture,
% 1.97/1.98 v_NA = c_Message_Omsg_ONonce(v_NAa) ).
% 1.97/1.98
% 1.97/1.98 cnf(cls_conjecture_7,negated_conjecture,
% 1.97/1.98 v_B = v_Ba ).
% 1.97/1.98
% 1.97/1.98 cnf(cls_conjecture_8,negated_conjecture,
% 1.97/1.98 v_K = v_KAB ).
% 1.97/1.98
% 1.97/1.98 cnf(cls_conjecture_9,negated_conjecture,
% 1.97/1.98 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))) ).
% 1.97/1.98
% 1.97/1.98 cnf(cls_conjecture_10,negated_conjecture,
% 1.97/1.98 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)) ).
% 1.97/1.98
% 1.97/1.98 cnf(cls_conjecture_11,negated_conjecture,
% 1.97/1.98 ~ hBOOL(c_in(c_Event_Oevent_OSays(v_Ba,v_Aa,c_Message_Omsg_OCrypt(v_KAB,c_Message_Omsg_ONonce(v_NB))),c_List_Oset(v_evs2,tc_Event_Oevent),tc_Event_Oevent)) ).
% 1.97/1.98
% 1.97/1.98 cnf(cls_conjecture_12,negated_conjecture,
% 1.97/1.98 ( 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_evs2,tc_Event_Oevent),tc_Event_Oevent))
% 1.97/1.98 | ~ 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))
% 1.97/1.98 | ~ 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)) ) ).
% 1.97/1.98
% 1.97/1.98 cnf(clsarity_fun__Lattices_Oupper__semilattice,axiom,
% 1.97/1.98 ( class_Lattices_Oupper__semilattice(tc_fun(T_2,T_1))
% 1.97/1.98 | ~ class_Lattices_Olattice(T_1) ) ).
% 1.97/1.98
% 1.97/1.98 cnf(clsarity_fun__Lattices_Obounded__lattice,axiom,
% 1.97/1.98 ( class_Lattices_Obounded__lattice(tc_fun(T_2,T_1))
% 1.97/1.98 | ~ class_Lattices_Obounded__lattice(T_1) ) ).
% 1.97/1.98
% 1.97/1.98 cnf(clsarity_fun__Lattices_Oboolean__algebra,axiom,
% 1.97/1.98 ( class_Lattices_Oboolean__algebra(tc_fun(T_2,T_1))
% 1.97/1.98 | ~ class_Lattices_Oboolean__algebra(T_1) ) ).
% 1.97/1.98
% 1.97/1.98 cnf(clsarity_fun__Orderings_Opreorder,axiom,
% 1.97/1.98 ( class_Orderings_Opreorder(tc_fun(T_2,T_1))
% 1.97/1.98 | ~ class_Orderings_Opreorder(T_1) ) ).
% 1.97/1.98
% 1.97/1.98 cnf(clsarity_fun__Lattices_Olattice,axiom,
% 1.97/1.98 ( class_Lattices_Olattice(tc_fun(T_2,T_1))
% 1.97/1.98 | ~ class_Lattices_Olattice(T_1) ) ).
% 1.97/1.98
% 1.97/1.98 cnf(clsarity_fun__Orderings_Oorder,axiom,
% 1.97/1.98 ( class_Orderings_Oorder(tc_fun(T_2,T_1))
% 1.97/1.98 | ~ class_Orderings_Oorder(T_1) ) ).
% 1.97/1.98
% 1.97/1.98 cnf(clsarity_fun__Orderings_Otop,axiom,
% 1.97/1.98 ( class_Orderings_Otop(tc_fun(T_2,T_1))
% 1.97/1.98 | ~ class_Orderings_Otop(T_1) ) ).
% 1.97/1.98
% 1.97/1.98 cnf(clsarity_fun__Orderings_Obot,axiom,
% 1.97/1.98 ( class_Orderings_Obot(tc_fun(T_2,T_1))
% 1.97/1.98 | ~ class_Orderings_Obot(T_1) ) ).
% 1.97/1.98
% 1.97/1.98 cnf(clsarity_fun__HOL_Ouminus,axiom,
% 1.97/1.98 ( class_HOL_Ouminus(tc_fun(T_2,T_1))
% 1.97/1.98 | ~ class_HOL_Ouminus(T_1) ) ).
% 1.97/1.98
% 1.97/1.98 cnf(clsarity_fun__HOL_Oord,axiom,
% 1.97/1.98 ( class_HOL_Oord(tc_fun(T_2,T_1))
% 1.97/1.98 | ~ class_HOL_Oord(T_1) ) ).
% 1.97/1.98
% 1.97/1.98 cnf(clsarity_nat__Lattices_Oupper__semilattice,axiom,
% 1.97/1.98 class_Lattices_Oupper__semilattice(tc_nat) ).
% 1.97/1.98
% 1.97/1.98 cnf(clsarity_nat__Orderings_Opreorder,axiom,
% 1.97/1.98 class_Orderings_Opreorder(tc_nat) ).
% 1.97/1.98
% 1.97/1.98 cnf(clsarity_nat__Orderings_Olinorder,axiom,
% 1.97/1.98 class_Orderings_Olinorder(tc_nat) ).
% 1.97/1.98
% 1.97/1.98 cnf(clsarity_nat__Lattices_Olattice,axiom,
% 1.97/1.98 class_Lattices_Olattice(tc_nat) ).
% 1.97/1.98
% 1.97/1.98 cnf(clsarity_nat__Orderings_Oorder,axiom,
% 1.97/1.98 class_Orderings_Oorder(tc_nat) ).
% 1.97/1.98
% 1.97/1.98 cnf(clsarity_nat__Orderings_Obot,axiom,
% 1.97/1.98 class_Orderings_Obot(tc_nat) ).
% 1.97/1.98
% 1.97/1.98 cnf(clsarity_nat__HOL_Oord,axiom,
% 1.97/1.98 class_HOL_Oord(tc_nat) ).
% 1.97/1.98
% 1.97/1.98 cnf(clsarity_bool__Lattices_Oupper__semilattice,axiom,
% 1.97/1.98 class_Lattices_Oupper__semilattice(tc_bool) ).
% 1.97/1.98
% 1.97/1.98 cnf(clsarity_bool__Lattices_Obounded__lattice,axiom,
% 1.97/1.98 class_Lattices_Obounded__lattice(tc_bool) ).
% 1.97/1.98
% 1.97/1.98 cnf(clsarity_bool__Lattices_Oboolean__algebra,axiom,
% 1.97/1.98 class_Lattices_Oboolean__algebra(tc_bool) ).
% 1.97/1.98
% 1.97/1.98 cnf(clsarity_bool__Orderings_Opreorder,axiom,
% 1.97/1.98 class_Orderings_Opreorder(tc_bool) ).
% 1.97/1.98
% 1.97/1.98 cnf(clsarity_bool__Lattices_Olattice,axiom,
% 1.97/1.98 class_Lattices_Olattice(tc_bool) ).
% 1.97/1.98
% 1.97/1.98 cnf(clsarity_bool__Orderings_Oorder,axiom,
% 1.97/1.98 class_Orderings_Oorder(tc_bool) ).
% 1.97/1.98
% 1.97/1.98 cnf(clsarity_bool__Orderings_Otop,axiom,
% 1.97/1.98 class_Orderings_Otop(tc_bool) ).
% 1.97/1.98
% 1.97/1.98 cnf(clsarity_bool__Orderings_Obot,axiom,
% 1.97/1.98 class_Orderings_Obot(tc_bool) ).
% 1.97/1.98
% 1.97/1.98 cnf(clsarity_bool__HOL_Ouminus,axiom,
% 1.97/1.98 class_HOL_Ouminus(tc_bool) ).
% 1.97/1.98
% 1.97/1.98 cnf(clsarity_bool__HOL_Oord,axiom,
% 1.97/1.98 class_HOL_Oord(tc_bool) ).
% 1.97/1.98
% 1.97/1.98 cnf(cls_ATP__Linkup_Oequal__imp__fequal_0,axiom,
% 1.97/1.98 c_fequal(V_x,V_x,T_a) ).
% 1.97/1.98
% 1.97/1.98 cnf(cls_ATP__Linkup_Ofequal__imp__equal_0,axiom,
% 1.97/1.98 ( V_X = V_Y
% 1.97/1.98 | ~ c_fequal(V_X,V_Y,T_a) ) ).
% 1.97/1.98
% 1.97/1.98 %------------------------------------------------------------------------------
% 1.97/1.98 %-------------------------------------------
% 1.97/1.98 % Proof found
% 1.97/1.98 % SZS status Theorem for theBenchmark
% 1.97/1.98 % SZS output start Proof
% 1.97/1.98 %ClaNum:683(EqnAxiom:94)
% 1.97/1.98 %VarNum:2809(SingletonVarNum:1388)
% 1.97/1.98 %MaxLitNum:6
% 1.97/1.98 %MaxfuncDepth:10
% 1.97/1.98 %SharedTerms:172
% 1.97/1.98 %goalClause: 95 96 97 98 141 142 144 188 246 312 319 325 661
% 1.97/1.98 %singleGoalClaCount:12
% 1.97/1.98 [95]E(a1,a2)
% 1.97/1.98 [96]E(a54,a55)
% 1.97/1.98 [97]E(a56,a57)
% 1.97/1.98 [99]P1(a26)
% 1.97/1.98 [100]P2(a26)
% 1.97/1.98 [101]P7(a51)
% 1.97/1.98 [102]P7(a26)
% 1.97/1.98 [103]P8(a51)
% 1.97/1.98 [104]P8(a26)
% 1.97/1.98 [105]P10(a51)
% 1.97/1.98 [106]P10(a26)
% 1.97/1.98 [107]P13(a51)
% 1.97/1.98 [108]P9(a26)
% 1.97/1.98 [109]P14(a26)
% 1.97/1.98 [110]P3(a51)
% 1.97/1.98 [111]P3(a26)
% 1.97/1.98 [112]P15(a51)
% 1.97/1.98 [113]P15(a26)
% 1.97/1.98 [114]P16(a51)
% 1.97/1.98 [115]P16(a26)
% 1.97/1.98 [261]~E(a18,a17)
% 1.97/1.98 [263]~E(a41,a40)
% 1.97/1.98 [98]E(f3(a58),a59)
% 1.97/1.98 [140]P17(f42(a17,a8,a50))
% 1.97/1.98 [141]P17(f42(a54,a29,a51))
% 1.97/1.98 [309]~P17(f42(a18,a8,a50))
% 1.97/1.98 [121]P17(f33(f5(a32)))
% 1.97/1.98 [127]E(f42(a60,a34,f48(a32)),f33(a60))
% 1.97/1.98 [144]P17(f42(a63,a34,f48(a32)))
% 1.97/1.98 [147]P17(f42(f5(a32),a34,f48(a32)))
% 1.97/1.98 [246]P17(f42(f12(a53,a18,f25(f22(a1),f25(f22(a56),f3(a58)))),f16(a63,a32),a32))
% 1.97/1.98 [258]E(f6(f6(f6(f43(f35(a21,f35(a20,f35(f39(a40),a18))),f43(f35(a21,f35(a20,f35(f39(a41),a18))),f36(f52(a49,a26)),a49),a49),f44(a21,f44(f39(a40),f38(f52(a50,a26)),a50,a51),a51,a49),f52(a49,a26)),f44(a21,f44(f39(a41),f38(f52(a50,a26)),a50,a51),a51,a49),f52(a49,a26)),f44(a21,f44(a37,f38(f52(a50,a26)),a50,a51),a51,a49),f52(a49,a26)),f9(a18,f5(a32)))
% 1.97/1.98 [259]E(f6(f6(f6(f6(f44(a21,f44(a20,f44(f39(a40),a8,a50,a51),a51,a51),a51,a49),f44(a21,f44(a20,f44(f39(a41),a8,a50,a51),a51,a51),a51,a49),f52(a49,a26)),f44(a21,f44(a37,a8,a50,a51),a51,a49),f52(a49,a26)),f44(a21,f44(f39(a40),f38(f52(a50,a26)),a50,a51),a51,a49),f52(a49,a26)),f44(a21,f44(f39(a41),f38(f52(a50,a26)),a50,a51),a51,a49),f52(a49,a26)),f9(a17,f5(a32)))
% 1.97/1.98 [312]~P17(f42(f35(a21,a54),f7(a63),a49))
% 1.97/1.98 [325]~P17(f42(f12(a56,a1,f24(a54,f3(a62))),f16(a63,a32),a32))
% 1.97/1.98 [128]E(f28(f36(f52(a49,a26))),f36(f52(a49,a26)))
% 1.97/1.98 [129]E(f4(f36(f52(a49,a26))),f36(f52(a49,a26)))
% 1.97/1.98 [142]E(f24(f35(a37,a56),f25(f35(a21,a54),f22(a1))),a61)
% 1.97/1.98 [161]E(f42(a60,f36(f52(a46,a26)),a46),f35(f36(f52(a46,a26)),a60))
% 1.97/1.98 [188]P17(f42(f24(a54,f3(a62)),f28(f9(a17,a63)),a49))
% 1.97/1.98 [319]~P17(f42(f35(a21,a55),f4(f9(a17,a63)),a49))
% 1.97/1.98 [133]P6(x1331,f27(x1331),f52(a49,a26))
% 1.97/1.98 [134]P6(x1341,f28(x1341),f52(a49,a26))
% 1.97/1.98 [135]P6(x1351,f4(x1351),f52(a49,a26))
% 1.97/1.98 [136]P6(f4(x1361),f28(x1361),f52(a49,a26))
% 1.97/1.98 [266]~E(f19(x2661),a17)
% 1.97/1.98 [267]~E(f19(x2671),a18)
% 1.97/1.98 [116]E(f27(f27(x1161)),f27(x1161))
% 1.97/1.98 [117]E(f28(f28(x1171)),f28(x1171))
% 1.97/1.98 [118]E(f28(f4(x1181)),f28(x1181))
% 1.97/1.98 [119]E(f4(f28(x1191)),f28(x1191))
% 1.97/1.98 [120]E(f4(f4(x1201)),f4(x1201))
% 1.97/1.98 [122]E(f35(a20,f35(a20,x1221)),x1221)
% 1.97/1.98 [123]E(f16(f5(x1231),x1231),f36(f52(x1231,a26)))
% 1.97/1.98 [124]E(f36(f52(x1241,a26)),f16(f5(x1241),x1241))
% 1.97/1.98 [125]E(f35(a20,f35(a37,x1251)),f35(a37,x1251))
% 1.97/1.98 [137]P6(f7(f5(a32)),f7(x1371),f52(a49,a26))
% 1.97/1.98 [138]E(f6(f28(x1381),f27(x1381),f52(a49,a26)),f28(f27(x1381)))
% 1.97/1.98 [139]E(f6(f4(x1391),f27(x1391),f52(a49,a26)),f4(f27(x1391)))
% 1.97/1.98 [145]E(f14(f38(f52(x1451,a26)),f52(x1451,a26)),f36(f52(x1451,a26)))
% 1.97/1.98 [146]E(f14(f36(f52(x1461,a26)),f52(x1461,a26)),f38(f52(x1461,a26)))
% 1.97/1.98 [156]P6(f28(f9(a17,x1561)),f7(x1561),f52(a49,a26))
% 1.97/1.98 [159]P17(f42(f35(a37,x1591),a29,a51))
% 1.97/1.98 [242]E(f28(f44(a21,x2421,a51,a49)),f44(a21,x2421,a51,a49))
% 1.97/1.98 [243]E(f4(f44(a21,x2431,a51,a49)),f44(a21,x2431,a51,a49))
% 1.97/1.98 [257]E(f6(f6(f43(f35(a21,f35(a20,f35(f39(a40),f19(x2571)))),f43(f35(a21,f35(a20,f35(f39(a41),f19(x2571)))),f43(f35(a21,f35(a37,f19(x2571))),f36(f52(a49,a26)),a49),a49),a49),f44(a21,f44(f39(a40),f38(f52(a50,a26)),a50,a51),a51,a49),f52(a49,a26)),f44(a21,f44(f39(a41),f38(f52(a50,a26)),a50,a51),a51,a49),f52(a49,a26)),f9(f19(x2571),f5(a32)))
% 1.97/1.98 [292]~E(f38(f52(x2921,a26)),f36(f52(x2921,a26)))
% 1.97/1.98 [313]~P17(f42(f3(f45(x3131)),f7(x3131),a49))
% 1.97/1.98 [311]~P17(f42(f3(x3111),f7(f5(a32)),a49))
% 1.97/1.98 [323]~P17(f42(x3231,f28(f36(f52(a49,a26))),a49))
% 1.97/1.98 [126]P4(x1261,x1261,x1262)
% 1.97/1.98 [131]P6(x1311,x1311,f52(x1312,a26))
% 1.97/1.98 [269]~E(f3(x2691),f22(x2692))
% 1.97/1.98 [270]~E(f22(x2701),f35(a21,x2702))
% 1.97/1.98 [271]~E(f3(x2711),f35(a21,x2712))
% 1.97/1.98 [272]~E(f35(a21,x2721),f22(x2722))
% 1.97/1.98 [273]~E(f35(a21,x2731),f3(x2732))
% 1.97/1.98 [132]E(f6(x1321,x1321,f52(x1322,a26)),x1321)
% 1.97/1.98 [143]E(f14(f14(x1431,f52(x1432,a26)),f52(x1432,a26)),x1431)
% 1.97/1.98 [150]P6(x1501,f38(f52(x1502,a26)),f52(x1502,a26))
% 1.97/1.98 [151]P6(f36(f52(x1511,a26)),x1512,f52(x1511,a26))
% 1.97/1.98 [152]E(f6(x1521,f36(f52(x1522,a26)),f52(x1522,a26)),x1521)
% 1.97/1.98 [153]E(f6(f36(f52(x1531,a26)),x1532,f52(x1531,a26)),x1532)
% 1.97/1.98 [155]P17(f42(f22(x1551),f27(x1552),a49))
% 1.97/1.98 [157]P6(f9(x1571,f5(a32)),f9(x1571,x1572),f52(a49,a26))
% 1.97/1.98 [162]E(f6(x1621,f38(f52(x1622,a26)),f52(x1622,a26)),f38(f52(x1622,a26)))
% 1.97/1.98 [163]E(f6(f38(f52(x1631,a26)),x1632,f52(x1631,a26)),f38(f52(x1631,a26)))
% 1.97/1.98 [167]E(f6(x1671,f14(x1671,f52(x1672,a26)),f52(x1672,a26)),f38(f52(x1672,a26)))
% 1.97/1.98 [168]E(f6(f14(x1681,f52(x1682,a26)),x1681,f52(x1682,a26)),f38(f52(x1682,a26)))
% 1.97/1.98 [187]P17(f42(f35(a21,f35(a37,x1871)),f7(x1872),a49))
% 1.97/1.98 [189]P17(f42(f35(a21,f35(a37,x1891)),f9(x1891,x1892),a49))
% 1.97/1.98 [210]P6(f43(x2101,f27(x2102),a49),f27(f43(x2101,x2102,a49)),f52(a49,a26))
% 1.97/1.98 [211]P6(f43(x2111,f28(x2112),a49),f28(f43(x2111,x2112,a49)),f52(a49,a26))
% 1.97/1.98 [212]P6(f43(x2121,f4(x2122),a49),f4(f43(x2121,x2122,a49)),f52(a49,a26))
% 1.97/1.98 [237]E(f6(f28(f43(x2371,f36(f52(a49,a26)),a49)),f28(x2372),f52(a49,a26)),f28(f43(x2371,x2372,a49)))
% 1.97/1.98 [326]~P17(f42(f3(x3261),f44(a21,x3262,a51,a49),a49))
% 1.97/1.98 [148]E(f23(f43(f22(x1481),x1482,a49)),f23(x1482))
% 1.97/1.98 [149]E(f23(f43(f3(x1491),x1492,a49)),f23(x1492))
% 1.97/1.98 [158]P17(f35(f38(f52(x1581,a26)),x1582))
% 1.97/1.98 [164]E(f23(f43(f35(a21,x1641),x1642,a49)),f23(x1642))
% 1.97/1.98 [172]E(f28(f43(f22(x1721),x1722,a49)),f43(f22(x1721),f28(x1722),a49))
% 1.97/1.98 [173]E(f28(f43(f3(x1731),x1732,a49)),f43(f3(x1731),f28(x1732),a49))
% 1.97/1.98 [174]E(f4(f43(f22(x1741),x1742,a49)),f43(f22(x1741),f4(x1742),a49))
% 1.97/1.98 [175]E(f4(f43(f3(x1751),x1752,a49)),f43(f3(x1751),f4(x1752),a49))
% 1.97/1.98 [178]P17(f42(x1781,f38(f52(x1782,a26)),x1782))
% 1.97/1.98 [182]E(f28(f43(f35(a21,x1821),x1822,a49)),f43(f35(a21,x1821),f28(x1822),a49))
% 1.97/1.98 [183]E(f6(f28(x1831),f28(x1832),f52(a49,a26)),f28(f6(x1831,x1832,f52(a49,a26))))
% 1.97/1.98 [193]E(f4(f6(f4(x1931),x1932,f52(a49,a26))),f4(f6(x1931,x1932,f52(a49,a26))))
% 1.97/1.98 [231]E(f6(f4(f6(x2311,x2312,f52(a49,a26))),f27(x2311),f52(a49,a26)),f4(f6(f27(x2311),x2312,f52(a49,a26))))
% 1.97/1.98 [232]P6(f28(f6(x2321,x2322,f52(a49,a26))),f6(f28(x2321),f28(x2322),f52(a49,a26)),f52(a49,a26))
% 1.97/1.98 [233]P6(f6(f27(x2331),f27(x2332),f52(a49,a26)),f27(f6(x2331,x2332,f52(a49,a26))),f52(a49,a26))
% 1.97/1.98 [234]P6(f6(f28(x2341),f28(x2342),f52(a49,a26)),f28(f6(x2341,x2342,f52(a49,a26))),f52(a49,a26))
% 1.97/1.98 [235]P6(f6(f4(x2351),f4(x2352),f52(a49,a26)),f4(f6(x2351,x2352,f52(a49,a26))),f52(a49,a26))
% 1.97/1.98 [238]P17(f42(f35(a21,f35(a20,f35(f39(x2381),x2382))),f9(x2382,f5(a32)),a49))
% 1.97/1.98 [310]~P17(f35(f36(f52(x3101,a26)),x3102))
% 1.97/1.98 [314]~P17(f42(f35(f39(x3141),x3142),a29,a51))
% 1.97/1.98 [315]~P17(f42(f24(x3151,x3152),f7(f5(a32)),a49))
% 1.97/1.98 [318]~P17(f42(x3181,f36(f52(x3182,a26)),x3182))
% 1.97/1.98 [320]~P17(f42(f3(x3201),f28(f9(x3202,f5(a32))),a49))
% 1.97/1.98 [324]~P17(f42(f35(a20,f35(f39(x3241),x3242)),a29,a51))
% 1.97/1.98 [171]P6(x1711,f43(x1712,x1711,x1713),f52(x1713,a26))
% 1.97/1.98 [274]~E(f22(x2741),f25(x2742,x2743))
% 1.97/1.98 [275]~E(f22(x2751),f24(x2752,x2753))
% 1.97/1.98 [276]~E(f3(x2761),f25(x2762,x2763))
% 1.97/1.98 [277]~E(f3(x2771),f24(x2772,x2773))
% 1.97/1.98 [278]~E(f25(x2781,x2782),f22(x2783))
% 1.97/1.98 [279]~E(f25(x2791,x2792),f3(x2793))
% 1.97/1.98 [280]~E(f24(x2801,x2802),f22(x2803))
% 1.97/1.98 [281]~E(f24(x2811,x2812),f3(x2813))
% 1.97/1.98 [282]~E(f25(x2821,x2822),f35(a21,x2823))
% 1.97/1.98 [283]~E(f24(x2831,x2832),f35(a21,x2833))
% 1.97/1.98 [284]~E(f35(a21,x2841),f25(x2842,x2843))
% 1.97/1.98 [285]~E(f35(a21,x2851),f24(x2852,x2853))
% 1.97/1.98 [294]~E(f15(x2941,x2942,x2943),x2942)
% 1.97/1.98 [298]~E(f15(x2981,x2982,x2983),f5(x2983))
% 1.97/1.98 [160]E(f6(x1601,x1602,f52(x1603,a26)),f6(x1602,x1601,f52(x1603,a26)))
% 1.97/1.98 [176]E(f43(x1761,f16(x1762,x1763),x1763),f16(f15(x1761,x1762,x1763),x1763))
% 1.97/1.98 [179]E(f43(x1791,f43(x1791,x1792,x1793),x1793),f43(x1791,x1792,x1793))
% 1.97/1.98 [180]P6(x1801,f6(x1802,x1801,f52(x1803,a26)),f52(x1803,a26))
% 1.97/1.98 [181]P6(x1811,f6(x1811,x1812,f52(x1813,a26)),f52(x1813,a26))
% 1.97/1.98 [184]P17(f35(f43(x1841,x1842,x1843),x1841))
% 1.97/1.98 [191]E(f6(x1911,f6(x1911,x1912,f52(x1913,a26)),f52(x1913,a26)),f6(x1911,x1912,f52(x1913,a26)))
% 1.97/1.98 [194]P17(f42(f35(a21,f35(f39(x1941),x1942)),f7(x1943),a49))
% 1.97/1.98 [198]P17(f42(x1981,f43(x1981,x1982,x1983),x1983))
% 1.97/1.98 [201]P6(f9(x2011,x2012),f9(x2011,f15(x2013,x2012,a32)),f52(a49,a26))
% 1.97/1.98 [202]E(f6(f43(x2021,f36(f52(x2022,a26)),x2022),x2023,f52(x2022,a26)),f43(x2021,x2023,x2022))
% 1.97/1.98 [203]P6(f16(x2031,x2032),f16(f15(x2033,x2031,x2032),x2032),f52(x2032,a26))
% 1.97/1.98 [204]P17(f42(f35(a21,f35(f39(x2041),x2042)),f9(a17,x2043),a49))
% 1.97/1.98 [236]P17(f42(f35(a21,f35(a20,f35(f39(x2361),x2362))),f7(x2363),a49))
% 1.97/1.98 [290]~E(f35(a37,x2901),f35(f39(x2902),x2903))
% 1.97/1.98 [291]~E(f35(f39(x2911),x2912),f35(a37,x2913))
% 1.97/1.98 [307]~E(f43(x3071,x3072,x3073),f36(f52(x3073,a26)))
% 1.97/1.98 [308]~E(f36(f52(x3081,a26)),f43(x3082,x3083,x3081))
% 1.97/1.98 [327]~P17(f42(f24(x3271,x3272),f44(a21,x3273,a51,a49),a49))
% 1.97/1.98 [329]~P17(f42(f35(f39(x3291),x3292),f44(a37,x3293,a50,a51),a51))
% 1.97/1.98 [330]~P17(f42(f35(a20,f35(f39(x3301),x3302)),f44(a37,x3303,a50,a51),a51))
% 1.97/1.98 [165]E(f23(f43(f25(x1651,x1652),x1653,a49)),f23(x1653))
% 1.97/1.98 [166]E(f7(f15(f10(x1661,x1662),x1663,a32)),f7(x1663))
% 1.97/1.98 [169]E(f9(a17,f15(f10(x1691,x1692),x1693,a32)),f9(a17,x1693))
% 1.97/1.98 [185]E(f9(x1851,f15(f11(x1851,x1852),x1853,a32)),f43(x1852,f9(x1851,x1853),a49))
% 1.97/1.98 [200]E(f44(x2001,f36(f52(x2002,a26)),x2002,x2003),f36(f52(x2003,a26)))
% 1.97/1.98 [205]P17(f42(f35(a21,f35(f39(x2051),x2052)),f9(x2053,f5(a32)),a49))
% 1.97/1.98 [217]P17(f42(f35(a21,f35(f39(x2171),x2172)),f4(f9(a17,x2173)),a49))
% 1.97/1.98 [222]E(f43(f24(x2221,x2222),f28(f43(x2222,x2223,a49)),a49),f28(f43(f24(x2221,x2222),x2223,a49)))
% 1.97/1.98 [239]E(f7(f15(f11(x2391,x2392),x2393,a32)),f6(f28(f43(x2392,f36(f52(a49,a26)),a49)),f7(x2393),f52(a49,a26)))
% 1.97/1.98 [252]P6(f4(f43(f24(x2521,x2522),x2523,a49)),f43(f24(x2521,x2522),f4(f43(x2522,x2523,a49)),a49),f52(a49,a26))
% 1.97/1.98 [256]E(f6(f6(f28(f43(x2561,f36(f52(a49,a26)),a49)),f28(f43(x2562,f36(f52(a49,a26)),a49)),f52(a49,a26)),f28(x2563),f52(a49,a26)),f28(f43(x2561,f43(x2562,x2563,a49),a49)))
% 1.97/1.98 [299]~E(f35(a37,x2991),f35(a20,f35(f39(x2992),x2993)))
% 1.97/1.98 [300]~E(f35(a20,f35(f39(x3001),x3002)),f35(a37,x3003))
% 1.97/1.98 [328]~P17(f42(f35(a37,x3281),f44(f39(x3282),x3283,a50,a51),a51))
% 1.97/1.98 [248]E(f43(f25(x2481,x2482),f28(f43(x2481,f43(x2482,x2483,a49),a49)),a49),f28(f43(f25(x2481,x2482),x2483,a49)))
% 1.97/1.98 [249]E(f43(f25(x2491,x2492),f4(f43(x2491,f43(x2492,x2493,a49),a49)),a49),f4(f43(f25(x2491,x2492),x2493,a49)))
% 1.97/1.98 [322]~P17(f42(f24(x3221,x3222),f28(f9(x3223,f5(a32))),a49))
% 1.97/1.98 [332]~P17(f42(f35(a37,x3321),f44(a20,f44(f39(x3322),x3323,a50,a51),a51,a51),a51))
% 1.97/1.98 [287]~E(f24(x2871,x2872),f25(x2873,x2874))
% 1.97/1.98 [289]~E(f10(x2891,x2892),f11(x2893,x2894))
% 1.97/1.98 [195]E(f43(x1951,f43(x1952,x1953,x1954),x1954),f43(x1952,f43(x1951,x1953,x1954),x1954))
% 1.97/1.98 [223]E(f6(x2231,f6(x2232,x2233,f52(x2234,a26)),f52(x2234,a26)),f6(x2232,f6(x2231,x2233,f52(x2234,a26)),f52(x2234,a26)))
% 1.97/1.98 [225]E(f6(f6(x2251,x2252,f52(x2253,a26)),x2254,f52(x2253,a26)),f6(x2251,f6(x2252,x2254,f52(x2253,a26)),f52(x2253,a26)))
% 1.97/1.98 [206]E(f43(x2061,f6(x2062,x2063,f52(x2064,a26)),x2064),f6(x2062,f43(x2061,x2063,x2064),f52(x2064,a26)))
% 1.97/1.98 [207]E(f43(x2071,f6(x2072,x2073,f52(x2074,a26)),x2074),f6(f43(x2071,x2072,x2074),x2073,f52(x2074,a26)))
% 1.97/1.98 [213]E(f9(a17,f15(f12(x2131,x2132,x2133),x2134,a32)),f43(x2133,f9(a17,x2134),a49))
% 1.97/1.98 [216]E(f9(x2161,f15(f12(x2161,x2162,x2163),x2164,a32)),f43(x2163,f9(x2161,x2164),a49))
% 1.97/1.98 [247]E(f7(f15(f12(x2471,x2472,x2473),x2474,a32)),f6(f28(f43(x2473,f36(f52(a49,a26)),a49)),f7(x2474),f52(a49,a26)))
% 1.97/1.98 [305]~E(f35(f39(x3051),x3052),f35(a20,f35(f39(x3053),x3054)))
% 1.97/1.98 [306]~E(f35(a20,f35(f39(x3061),x3062)),f35(f39(x3063),x3064))
% 1.97/1.98 [331]~P17(f42(f35(a20,f35(f39(x3311),x3312)),f44(f39(x3313),x3314,a50,a51),a51))
% 1.97/1.98 [253]P17(f42(f35(x2531,x2532),f44(x2531,f38(f52(x2533,a26)),x2533,x2534),x2534))
% 1.97/1.98 [333]~P17(f42(f35(f39(x3331),x3332),f44(a20,f44(f39(x3333),x3334,a50,a51),a51,a51),a51))
% 1.97/1.98 [301]~E(f11(x3011,x3012),f12(x3013,x3014,x3015))
% 1.97/1.98 [302]~E(f10(x3021,x3022),f12(x3023,x3024,x3025))
% 1.97/1.98 [303]~E(f12(x3031,x3032,x3033),f11(x3034,x3035))
% 1.97/1.98 [304]~E(f12(x3041,x3042,x3043),f10(x3044,x3045))
% 1.97/1.98 [250]E(f44(x2501,f43(x2502,x2503,x2504),x2504,x2505),f43(f35(x2501,x2502),f44(x2501,x2503,x2504,x2505),x2505))
% 1.97/1.98 [251]E(f43(f35(x2511,x2512),f44(x2511,x2513,x2514,x2515),x2515),f44(x2511,f43(x2512,x2513,x2514),x2514,x2515))
% 1.97/1.98 [255]E(f6(f44(x2551,x2552,x2553,x2554),f44(x2551,x2555,x2553,x2554),f52(x2554,a26)),f44(x2551,f6(x2552,x2555,f52(x2553,a26)),x2553,x2554))
% 1.97/1.98 [337]~P13(x3371)+P5(f5(x3371),x3371)
% 1.97/1.98 [409]E(f35(a20,x4091),x4091)+~P17(f42(x4091,a29,a51))
% 1.97/1.98 [338]~P1(x3381)+E(f14(f38(x3381),x3381),f36(x3381))
% 1.97/1.98 [339]~P1(x3391)+E(f14(f36(x3391),x3391),f38(x3391))
% 1.97/1.98 [470]~P17(f42(x4701,a29,a51))+P17(f42(f35(a20,x4701),a29,a51))
% 1.97/1.98 [484]P17(f42(x4841,a29,a51))+~P17(f42(f35(a20,x4841),a29,a51))
% 1.97/1.98 [381]~P14(x3811)+E(f35(f38(f52(a46,x3811)),a60),f38(x3811))
% 1.97/1.98 [382]~P7(x3821)+E(f35(f36(f52(a46,x3821)),a60),f36(x3821))
% 1.97/1.98 [368]~P15(x3682)+P6(x3681,x3681,x3682)
% 1.97/1.98 [369]~P16(x3692)+P6(x3691,x3691,x3692)
% 1.97/1.98 [334]E(x3341,x3342)+~E(f19(x3341),f19(x3342))
% 1.97/1.98 [335]E(x3351,x3352)+~E(f22(x3351),f22(x3352))
% 1.97/1.98 [336]E(x3361,x3362)+~E(f3(x3361),f3(x3362))
% 1.97/1.98 [340]~P1(x3402)+P1(f52(x3401,x3402))
% 1.97/1.98 [341]~P2(x3412)+P2(f52(x3411,x3412))
% 1.97/1.98 [342]~P7(x3422)+P7(f52(x3421,x3422))
% 1.97/1.98 [343]~P8(x3432)+P8(f52(x3431,x3432))
% 1.97/1.98 [344]~P8(x3442)+P10(f52(x3441,x3442))
% 1.97/1.98 [345]~P9(x3452)+P9(f52(x3451,x3452))
% 1.97/1.98 [346]~P14(x3462)+P14(f52(x3461,x3462))
% 1.97/1.98 [347]~P3(x3472)+P3(f52(x3471,x3472))
% 1.97/1.98 [348]~P15(x3482)+P15(f52(x3481,x3482))
% 1.97/1.98 [349]~P16(x3492)+P16(f52(x3491,x3492))
% 1.97/1.98 [350]E(x3501,x3502)+~E(f35(a20,x3501),f35(a20,x3502))
% 1.97/1.98 [351]E(x3511,x3512)+~E(f35(a37,x3511),f35(a37,x3512))
% 1.97/1.98 [352]E(x3521,x3522)+~E(f35(a21,x3521),f35(a21,x3522))
% 1.97/1.98 [370]~P10(x3702)+E(f6(x3701,x3701,x3702),x3701)
% 1.97/1.98 [373]~P14(x3732)+P6(x3731,f38(x3732),x3732)
% 1.97/1.98 [374]~P7(x3741)+P6(f36(x3741),x3742,x3741)
% 1.97/1.98 [421]~P6(x4211,x4212,f52(a49,a26))+P6(f23(x4211),f23(x4212),f52(a51,a26))
% 1.97/1.98 [422]~P6(x4221,x4222,f52(a49,a26))+P6(f27(x4221),f27(x4222),f52(a49,a26))
% 1.97/1.98 [423]~P6(x4231,x4232,f52(a49,a26))+P6(f28(x4231),f28(x4232),f52(a49,a26))
% 1.97/1.98 [424]~P6(x4241,x4242,f52(a49,a26))+P6(f4(x4241),f4(x4242),f52(a49,a26))
% 1.97/1.98 [427]P6(f27(x4271),f27(x4272),f52(a49,a26))+~P6(x4271,f27(x4272),f52(a49,a26))
% 1.97/1.98 [428]P6(f28(x4281),f28(x4282),f52(a49,a26))+~P6(x4281,f28(x4282),f52(a49,a26))
% 1.97/1.98 [429]P6(f4(x4291),f4(x4292),f52(a49,a26))+~P6(x4291,f4(x4292),f52(a49,a26))
% 1.97/1.98 [434]P6(x4341,f27(x4342),f52(a49,a26))+~P6(f27(x4341),f27(x4342),f52(a49,a26))
% 1.97/1.98 [435]P6(x4351,f28(x4352),f52(a49,a26))+~P6(f28(x4351),f28(x4352),f52(a49,a26))
% 1.97/1.98 [436]P6(x4361,f4(x4362),f52(a49,a26))+~P6(f4(x4361),f4(x4362),f52(a49,a26))
% 1.97/1.98 [364]~P11(x3642)+E(f14(f14(x3641,x3642),x3642),x3641)
% 1.97/1.98 [365]~P1(x3652)+E(f14(f14(x3651,x3652),x3652),x3651)
% 1.97/1.98 [375]~P9(x3752)+E(f6(x3751,f36(x3752),x3752),x3751)
% 1.97/1.98 [376]~P9(x3761)+E(f6(f36(x3761),x3762,x3761),x3762)
% 1.97/1.98 [377]E(x3771,f5(x3772))+~E(f16(x3771,x3772),f36(f52(x3772,a26)))
% 1.97/1.98 [378]E(x3781,f5(x3782))+~E(f36(f52(x3782,a26)),f16(x3781,x3782))
% 1.97/1.98 [379]~P9(x3792)+E(f6(x3791,f38(x3792),x3792),f38(x3792))
% 1.97/1.98 [380]~P9(x3801)+E(f6(f38(x3801),x3802,x3801),f38(x3801))
% 1.97/1.98 [384]~P1(x3842)+E(f6(x3841,f14(x3841,x3842),x3842),f38(x3842))
% 1.97/1.98 [385]~P1(x3852)+E(f6(f14(x3851,x3852),x3851,x3852),f38(x3852))
% 1.97/1.98 [395]~P13(x3952)+P5(f15(x3951,f5(x3952),x3952),x3952)
% 1.97/1.98 [439]~P6(x4391,x4392,f52(a49,a26))+P6(f27(f4(x4391)),f27(f4(x4392)),f52(a49,a26))
% 1.97/1.98 [443]~P6(x4431,f36(f52(x4432,a26)),f52(x4432,a26))+E(x4431,f36(f52(x4432,a26)))
% 1.97/1.98 [453]~P6(x4531,f14(x4531,f52(x4532,a26)),f52(x4532,a26))+E(x4531,f36(f52(x4532,a26)))
% 1.97/1.98 [456]~P17(f42(x4561,x4562,a49))+P17(f42(x4561,f27(x4562),a49))
% 1.97/1.98 [457]~P17(f42(x4571,x4572,a49))+P17(f42(x4571,f28(x4572),a49))
% 1.97/1.98 [458]~P17(f42(x4581,x4582,a49))+P17(f42(x4581,f4(x4582),a49))
% 1.97/1.98 [460]E(f28(f43(x4601,x4602,a49)),f28(x4602))+~P17(f42(x4601,f28(x4602),a49))
% 1.97/1.98 [461]E(f4(f43(x4611,x4612,a49)),f4(x4612))+~P17(f42(x4611,f4(x4612),a49))
% 1.97/1.98 [465]~P17(f42(x4651,f4(x4652),a49))+P17(f42(x4651,f28(x4652),a49))
% 1.97/1.98 [475]~P17(f42(f3(x4751),f27(x4752),a49))+P17(f42(f3(x4751),x4752,a49))
% 1.97/1.98 [513]~P17(f42(f35(a21,x5131),f27(x5132),a49))+P17(f42(f35(a21,x5131),x5132,a49))
% 1.97/1.98 [530]~P17(f42(x5301,a8,a50))+P17(f42(f35(a21,f35(a37,x5301)),f9(a17,x5302),a49))
% 1.97/1.98 [631]P17(f42(x6311,x6312,a50))+~P17(f42(f35(a37,x6311),f44(a37,x6312,a50,a51),a51))
% 1.97/1.98 [632]P17(f42(x6321,x6322,a51))+~P17(f42(f35(a20,x6321),f44(a20,x6322,a51,a51),a51))
% 1.97/1.98 [633]P17(f42(x6331,x6332,a51))+~P17(f42(f35(a21,x6331),f44(a21,x6332,a51,a49),a49))
% 1.97/1.98 [394]~P2(x3942)+E(f35(f14(x3941,f52(a46,x3942)),a60),f14(f35(x3941,a60),x3942))
% 1.97/1.98 [487]P17(f42(x4871,f27(x4872),a49))+~P17(f42(x4871,f27(f27(x4872)),a49))
% 1.97/1.98 [488]P17(f42(x4881,f28(x4882),a49))+~P17(f42(x4881,f28(f28(x4882)),a49))
% 1.97/1.98 [489]P17(f42(x4891,f4(x4892),a49))+~P17(f42(x4891,f4(f4(x4892)),a49))
% 1.97/1.98 [493]E(f4(f43(f35(a21,x4931),x4932,a49)),f43(f35(a21,x4931),f4(x4932),a49))+P17(f42(x4931,f23(f4(x4932)),a51))
% 1.97/1.98 [526]P17(f42(x5261,f7(x5262),a49))+~P17(f42(x5261,f28(f9(a17,x5262)),a49))
% 1.97/1.98 [529]E(f27(f4(f43(x5291,x5292,a49))),f27(f4(x5292)))+~P17(f42(x5291,f27(f4(x5292)),a49))
% 1.97/1.98 [571]P6(f28(f43(x5711,x5712,a49)),f6(f27(f4(x5712)),f28(x5712),f52(a49,a26)),f52(a49,a26))+~P17(f42(x5711,f27(f4(x5712)),a49))
% 1.97/1.98 [576]E(f28(f43(x5761,x5762,a49)),f43(x5761,f28(x5762),a49))+P17(f42(f30(x5762,x5761),f28(f43(x5761,x5762,a49)),a49))
% 1.97/1.98 [577]E(f4(f43(x5771,x5772,a49)),f43(x5771,f4(x5772),a49))+P17(f42(f31(x5772,x5771),f4(f43(x5771,x5772,a49)),a49))
% 1.97/1.98 [579]E(f28(f43(x5791,x5792,a49)),f43(x5791,f28(x5792),a49))+~P17(f42(f30(x5792,x5791),f43(x5791,f28(x5792),a49),a49))
% 1.97/1.98 [580]E(f4(f43(x5801,x5802,a49)),f43(x5801,f4(x5802),a49))+~P17(f42(f31(x5802,x5801),f43(x5801,f4(x5802),a49),a49))
% 1.97/1.98 [567]P6(f28(f43(x5671,f36(f52(a49,a26)),a49)),f7(x5672),f52(a49,a26))+~P17(f42(x5671,f7(x5672),a49))
% 1.97/1.98 [594]P6(f28(f43(x5941,f36(f52(a49,a26)),a49)),f6(f27(f4(x5942)),f28(x5942),f52(a49,a26)),f52(a49,a26))+~P17(f42(x5941,f27(f4(x5942)),a49))
% 1.97/1.98 [637]P17(f42(f35(a21,x6371),f7(x6372),a49))+~P17(f42(x6371,f44(a37,f38(f52(a50,a26)),a50,a51),a51))
% 1.97/1.98 [383]E(x3831,x3832)+~P4(x3831,x3832,x3833)
% 1.97/1.98 [389]~P8(x3893)+E(f6(x3891,x3892,x3893),f6(x3892,x3891,x3893))
% 1.97/1.98 [390]~P10(x3903)+E(f6(x3901,x3902,x3903),f6(x3902,x3901,x3903))
% 1.97/1.98 [399]~P17(f35(x3992,x3991))+P17(f42(x3991,x3992,x3993))
% 1.97/1.98 [400]~P8(x4003)+P6(x4001,f6(x4002,x4001,x4003),x4003)
% 1.97/1.98 [401]~P10(x4013)+P6(x4011,f6(x4012,x4011,x4013),x4013)
% 1.97/1.98 [402]~P8(x4023)+P6(x4021,f6(x4021,x4022,x4023),x4023)
% 1.97/1.98 [403]~P10(x4033)+P6(x4031,f6(x4031,x4032,x4033),x4033)
% 1.97/1.98 [425]P17(f35(x4251,x4252))+~P17(f42(x4252,x4251,x4253))
% 1.97/1.98 [442]E(f43(x4421,x4422,x4423),x4422)+~P17(f42(x4421,x4422,x4423))
% 1.97/1.98 [393]E(x3931,x3932)+~E(f14(x3931,f52(x3933,a26)),f14(x3932,f52(x3933,a26)))
% 1.97/1.98 [413]E(x4131,f36(f52(x4132,a26)))+~E(f6(x4133,x4131,f52(x4132,a26)),f36(f52(x4132,a26)))
% 1.97/1.98 [414]E(x4141,f36(f52(x4142,a26)))+~E(f6(x4141,x4143,f52(x4142,a26)),f36(f52(x4142,a26)))
% 1.97/1.98 [418]~P6(x4181,x4182,f52(x4183,a26))+E(f6(x4181,x4182,f52(x4183,a26)),x4182)
% 1.97/1.98 [419]~P6(x4192,x4191,f52(x4193,a26))+E(f6(x4191,x4192,f52(x4193,a26)),x4191)
% 1.97/1.98 [420]P6(x4201,x4202,f52(x4203,a26))+~E(f6(x4201,x4202,f52(x4203,a26)),x4202)
% 1.97/1.98 [437]~P8(x4373)+E(f6(x4371,f6(x4371,x4372,x4373),x4373),f6(x4371,x4372,x4373))
% 1.97/1.98 [438]~P10(x4383)+E(f6(x4381,f6(x4381,x4382,x4383),x4383),f6(x4381,x4382,x4383))
% 1.97/1.98 [440]~E(f4(x4402),f4(x4403))+E(f4(f43(x4401,x4402,a49)),f4(f43(x4401,x4403,a49)))
% 1.97/1.98 [486]~P6(x4863,x4861,f52(x4862,a26))+P6(f14(x4861,f52(x4862,a26)),f14(x4863,f52(x4862,a26)),f52(x4862,a26))
% 1.97/1.98 [497]P17(f42(x4971,f28(x4972),a49))+~P17(f42(f25(x4973,x4971),f28(x4972),a49))
% 1.97/1.98 [498]P17(f42(x4981,f28(x4982),a49))+~P17(f42(f25(x4981,x4983),f28(x4982),a49))
% 1.97/1.98 [499]P17(f42(x4991,f28(x4992),a49))+~P17(f42(f24(x4993,x4991),f28(x4992),a49))
% 1.97/1.98 [500]P17(f42(x5001,f4(x5002),a49))+~P17(f42(f25(x5003,x5001),f4(x5002),a49))
% 1.97/1.98 [501]P17(f42(x5011,f4(x5012),a49))+~P17(f42(f25(x5011,x5013),f4(x5012),a49))
% 1.97/1.98 [502]P17(f42(x5021,f7(x5022),a49))+~P17(f42(f25(x5023,x5021),f7(x5022),a49))
% 1.97/1.98 [503]P17(f42(x5031,f7(x5032),a49))+~P17(f42(f25(x5031,x5033),f7(x5032),a49))
% 1.97/1.98 [515]~P17(f42(f24(x5151,x5153),x5152,a49))+P17(f42(f35(a20,x5151),f23(x5152),a51))
% 1.97/1.98 [519]P6(x5191,x5192,f52(x5193,a26))+~P6(f14(x5192,f52(x5193,a26)),f14(x5191,f52(x5193,a26)),f52(x5193,a26))
% 1.97/1.98 [525]P17(f42(x5251,f7(x5252),a49))+~P17(f42(f11(x5253,x5251),f16(x5252,a32),a32))
% 1.97/1.98 [538]P17(f42(x5381,f9(x5382,x5383),a49))+~P17(f42(f11(x5382,x5381),f16(x5383,a32),a32))
% 1.97/1.98 [563]P6(f28(f43(x5631,x5632,a49)),f6(f28(x5633),f28(x5632),f52(a49,a26)),f52(a49,a26))+~P17(f42(x5631,x5633,a49))
% 1.97/1.98 [578]~P17(f42(x5782,a8,a50))+P17(f42(f35(a21,f35(a20,f35(f39(x5781),x5782))),f9(a17,x5783),a49))
% 1.97/1.98 [450]E(x4501,a17)+E(f9(x4501,f15(f10(x4501,x4502),x4503,a32)),f43(x4502,f9(x4501,x4503),a49))
% 1.97/1.98 [454]~P8(x4543)+E(f6(f35(x4541,a60),f35(x4542,a60),x4543),f35(f6(x4541,x4542,f52(a46,x4543)),a60))
% 1.97/1.98 [455]P17(f42(x4551,a8,a50))+E(f9(a17,f15(f11(x4551,x4552),x4553,a32)),f9(a17,x4553))
% 1.97/1.98 [480]E(x4801,x4802)+~E(f43(x4801,f36(f52(x4803,a26)),x4803),f43(x4802,f36(f52(x4803,a26)),x4803))
% 1.97/1.98 [490]P17(f42(x4901,x4902,x4903))+P17(f42(x4901,f14(x4902,f52(x4903,a26)),x4903))
% 1.97/1.98 [511]~P17(f42(x5111,a8,a50))+E(f9(a17,f15(f11(x5111,x5112),x5113,a32)),f43(x5112,f9(a17,x5113),a49))
% 1.97/1.98 [527]P17(f42(x5271,f27(f4(x5272)),a49))+~P17(f42(f25(x5273,x5271),f27(f4(x5272)),a49))
% 1.97/1.98 [528]P17(f42(x5281,f27(f4(x5282)),a49))+~P17(f42(f25(x5281,x5283),f27(f4(x5282)),a49))
% 1.97/1.98 [542]E(f4(f43(f24(x5421,x5422),x5423,a49)),f43(f24(x5421,x5422),f4(x5423),a49))+P17(f42(f35(a21,f35(a20,x5421)),f4(x5423),a49))
% 1.97/1.98 [550]~P17(f42(x5501,x5502,x5503))+~P17(f42(x5501,f14(x5502,f52(x5503,a26)),x5503))
% 1.97/1.98 [572]~P17(f42(x5721,f28(x5723),a49))+P17(f42(x5721,f28(f43(x5722,x5723,a49)),a49))
% 1.97/1.98 [573]~P17(f42(x5731,f4(x5733),a49))+P17(f42(x5731,f4(f43(x5732,x5733,a49)),a49))
% 1.97/1.98 [592]E(f43(f24(x5921,x5922),f4(f43(x5922,x5923,a49)),a49),f4(f43(f24(x5921,x5922),x5923,a49)))+~P17(f42(f35(a21,f35(a20,x5921)),f4(x5923),a49))
% 1.97/1.98 [614]P6(f4(f43(x6141,x6142,a49)),f6(f27(f4(x6143)),f4(f6(x6143,x6142,f52(a49,a26))),f52(a49,a26)),f52(a49,a26))+~P17(f42(x6141,f27(f4(x6143)),a49))
% 1.97/1.98 [622]P6(f43(f24(x6221,x6222),f4(f43(x6222,x6223,a49)),a49),f4(f43(f24(x6221,x6222),x6223,a49)),f52(a49,a26))+~P17(f42(f35(a21,f35(a20,x6221)),f4(x6223),a49))
% 1.97/1.98 [544]P17(f42(x5441,f7(x5442),a49))+~P17(f42(x5441,f28(f9(x5443,f5(a32))),a49))
% 1.97/1.98 [591]E(x5911,x5912)+~P17(f42(x5911,f43(x5912,f36(f52(x5913,a26)),x5913),x5913))
% 1.97/1.98 [595]~P17(f42(x5951,f4(x5953),a49))+P17(f42(x5951,f4(f6(x5952,x5953,f52(a49,a26))),a49))
% 1.97/1.98 [647]~P17(f42(x6472,x6473,a50))+P17(f42(f35(a20,f35(f39(x6471),x6472)),f44(a20,f44(f39(x6471),x6473,a50,a51),a51,a51),a51))
% 1.97/1.98 [651]~P17(f42(x6511,x6512,a51))+P17(f42(f35(a21,x6511),f4(f6(f44(a21,x6512,a51,a49),x6513,f52(a49,a26))),a49))
% 1.97/1.98 [353]E(x3531,x3532)+~E(f11(x3533,x3531),f11(x3534,x3532))
% 1.97/1.98 [354]E(x3541,x3542)+~E(f25(x3543,x3541),f25(x3544,x3542))
% 1.97/1.98 [355]E(x3551,x3552)+~E(f24(x3553,x3551),f24(x3554,x3552))
% 1.97/1.98 [356]E(x3561,x3562)+~E(f10(x3563,x3561),f10(x3564,x3562))
% 1.97/1.98 [357]E(x3571,x3572)+~E(f11(x3571,x3573),f11(x3572,x3574))
% 1.97/1.98 [358]E(x3581,x3582)+~E(f25(x3581,x3583),f25(x3582,x3584))
% 1.97/1.98 [359]E(x3591,x3592)+~E(f24(x3591,x3593),f24(x3592,x3594))
% 1.97/1.98 [360]E(x3601,x3602)+~E(f10(x3601,x3603),f10(x3602,x3604))
% 1.97/1.98 [462]~P6(x4621,x4623,f52(x4624,a26))+P6(x4621,f43(x4622,x4623,x4624),f52(x4624,a26))
% 1.97/1.98 [491]~P6(f43(x4914,x4911,x4913),x4912,f52(x4913,a26))+P6(x4911,x4912,f52(x4913,a26))
% 1.97/1.98 [505]~P6(f43(x5051,x5054,x5053),x5052,f52(x5053,a26))+P17(f42(x5051,x5052,x5053))
% 1.97/1.98 [512]~P6(x5122,x5124,f52(x5123,a26))+P6(f43(x5121,x5122,x5123),f43(x5121,x5124,x5123),f52(x5123,a26))
% 1.97/1.98 [371]E(x3711,x3712)+~E(f35(f39(x3713),x3711),f35(f39(x3714),x3712))
% 1.97/1.98 [372]E(x3721,x3722)+~E(f35(f39(x3721),x3723),f35(f39(x3722),x3724))
% 1.97/1.98 [459]~P17(f35(x4592,x4594))+P17(f35(f43(x4591,x4592,x4593),x4594))
% 1.97/1.98 [476]~P8(x4764)+E(f6(x4761,f6(x4762,x4763,x4764),x4764),f6(x4762,f6(x4761,x4763,x4764),x4764))
% 1.97/1.98 [477]~P10(x4774)+E(f6(x4771,f6(x4772,x4773,x4774),x4774),f6(x4772,f6(x4771,x4773,x4774),x4774))
% 1.97/1.98 [478]~P8(x4783)+E(f6(f6(x4781,x4782,x4783),x4784,x4783),f6(x4781,f6(x4782,x4784,x4783),x4783))
% 1.97/1.98 [479]~P10(x4793)+E(f6(f6(x4791,x4792,x4793),x4794,x4793),f6(x4791,f6(x4792,x4794,x4793),x4793))
% 1.97/1.98 [523]P6(x5231,x5232,f52(x5233,a26))+~P6(f6(x5234,x5231,f52(x5233,a26)),x5232,f52(x5233,a26))
% 1.97/1.98 [524]P6(x5241,x5242,f52(x5243,a26))+~P6(f6(x5241,x5244,f52(x5243,a26)),x5242,f52(x5243,a26))
% 1.97/1.98 [532]~E(f44(x5323,x5321,x5322,x5324),f36(f52(x5324,a26)))+E(x5321,f36(f52(x5322,a26)))
% 1.97/1.98 [541]~P17(f42(x5411,x5413,x5414))+P17(f42(x5411,f43(x5412,x5413,x5414),x5414))
% 1.97/1.98 [570]P17(f42(x5701,f7(x5702),a49))+~P17(f42(f12(x5703,x5704,x5701),f16(x5702,a32),a32))
% 1.97/1.98 [574]P17(f42(x5741,f9(a17,x5742),a49))+~P17(f42(f12(x5743,x5744,x5741),f16(x5742,a32),a32))
% 1.97/1.98 [575]P17(f42(x5751,f9(x5752,x5753),a49))+~P17(f42(f12(x5752,x5754,x5751),f16(x5753,a32),a32))
% 1.97/1.98 [494]~P17(f35(x4942,x4944))+P17(f35(f6(x4941,x4942,f52(x4943,a26)),x4944))
% 1.97/1.98 [495]~P17(f35(x4951,x4954))+P17(f35(f6(x4951,x4952,f52(x4953,a26)),x4954))
% 1.97/1.98 [557]~P17(f42(x5571,x5573,x5574))+P17(f42(x5571,f6(x5572,x5573,f52(x5574,a26)),x5574))
% 1.97/1.98 [558]~P17(f42(x5581,x5582,x5584))+P17(f42(x5581,f6(x5582,x5583,f52(x5584,a26)),x5584))
% 1.97/1.98 [581]~P17(f42(f12(x5813,x5814,x5811),f16(x5812,a32),a32))+P17(f42(x5811,f28(f9(a17,x5812)),a49))
% 1.97/1.98 [582]~P17(f42(f12(x5823,x5824,x5821),f16(x5822,a32),a32))+P17(f42(x5821,f4(f9(a17,x5822)),a49))
% 1.97/1.98 [630]E(x6301,x6302)+~P17(f42(f35(f39(x6301),x6303),f44(f39(x6302),x6304,a50,a51),a51))
% 1.97/1.98 [635]P17(f42(x6351,x6352,a50))+~P17(f42(f35(f39(x6353),x6351),f44(f39(x6354),x6352,a50,a51),a51))
% 1.97/1.98 [656]E(x6561,x6562)+~P17(f42(f35(a20,f35(f39(x6561),x6563)),f44(a20,f44(f39(x6562),x6564,a50,a51),a51,a51),a51))
% 1.97/1.98 [657]P17(f42(x6571,x6572,a50))+~P17(f42(f35(a20,f35(f39(x6573),x6571)),f44(a20,f44(f39(x6574),x6572,a50,a51),a51,a51),a51))
% 1.97/1.98 [628]~P17(f42(x6281,f4(f9(a17,x6284)),a49))+P17(f42(x6281,f4(f9(a17,f15(f11(x6282,x6283),x6284,a32))),a49))
% 1.97/1.98 [629]~P17(f42(x6291,f4(f9(a17,x6294)),a49))+P17(f42(x6291,f4(f9(a17,f15(f10(x6292,x6293),x6294,a32))),a49))
% 1.97/1.98 [405]E(x4051,x4052)+~E(f15(x4053,x4051,x4054),f15(x4055,x4052,x4054))
% 1.97/1.98 [407]E(x4071,x4072)+~E(f15(x4071,x4073,x4074),f15(x4072,x4075,x4074))
% 1.97/1.98 [608]~P6(x6082,x6085,f52(x6083,a26))+P6(f44(x6081,x6082,x6083,x6084),f44(x6081,x6085,x6083,x6084),f52(x6084,a26))
% 1.97/1.98 [599]~P17(f42(x5992,x5993,x5994))+E(f43(f35(x5991,x5992),f44(x5991,x5993,x5994,x5995),x5995),f44(x5991,x5993,x5994,x5995))
% 1.97/1.98 [618]~P17(f42(x6182,x6183,x6184))+P17(f42(f35(x6181,x6182),f44(x6181,x6183,x6184,x6185),x6185))
% 1.97/1.98 [641]~P17(f42(x6411,f4(f9(a17,x6415)),a49))+P17(f42(x6411,f4(f9(a17,f15(f12(x6412,x6413,x6414),x6415,a32))),a49))
% 1.97/1.98 [404]E(x4041,x4042)+~E(f12(x4043,x4044,x4041),f12(x4045,x4046,x4042))
% 1.97/1.98 [406]E(x4061,x4062)+~E(f12(x4063,x4061,x4064),f12(x4065,x4062,x4066))
% 1.97/1.98 [408]E(x4081,x4082)+~E(f12(x4081,x4083,x4084),f12(x4082,x4085,x4086))
% 1.97/1.98 [648]~P17(f42(f12(a18,x6483,f24(f35(a37,x6483),f25(x6484,f25(x6485,f25(x6481,x6486))))),f16(x6482,a32),a32))+P17(f42(x6481,f28(f9(a17,x6482)),a49))
% 1.97/1.98 [643]~P17(f42(f12(x6433,x6434,f24(x6435,f25(x6436,f25(x6437,f25(x6438,x6431))))),f16(x6432,a32),a32))+P17(f42(x6431,f28(f9(a17,x6432)),a49))
% 1.97/1.98 [661]~P17(f42(f12(a18,a2,f24(f35(a37,a2),f25(a59,f25(f22(a57),f25(f35(a21,a55),a61))))),f16(a63,a32),a32))+P17(f42(f12(a57,a2,f24(a55,f3(a62))),f16(a63,a32),a32))+~P17(f42(f24(a55,f3(a62)),f28(f9(a17,a63)),a49))
% 1.97/1.98 [391]P17(f35(x3911,x3912))+~P17(f35(x3911,a41))+~P17(f35(x3911,a40))
% 1.97/1.98 [568]~P17(f42(x5681,a8,a50))+~P17(f42(x5682,a34,f48(a32)))+P17(f42(f35(a21,f35(a37,x5681)),f28(f9(a17,x5682)),a49))
% 1.97/1.98 [569]~P17(f42(x5691,a8,a50))+~P17(f42(x5692,a34,f48(a32)))+P17(f42(f35(a21,f35(a37,x5691)),f4(f9(a17,x5692)),a49))
% 1.97/1.98 [585]P17(f42(x5851,a8,a50))+~P17(f42(x5852,a34,f48(a32)))+~P17(f42(f35(a21,f35(a37,x5851)),f28(f9(a17,x5852)),a49))
% 1.97/1.98 [586]P17(f42(x5861,a8,a50))+~P17(f42(x5862,a34,f48(a32)))+~P17(f42(f35(a21,f35(a37,x5861)),f4(f9(a17,x5862)),a49))
% 1.97/1.98 [639]~P17(f42(x6392,a34,f48(a32)))+P17(f42(x6391,f44(a37,f38(f52(a50,a26)),a50,a51),a51))+P17(f42(f35(a21,x6391),f4(f43(f35(a21,x6391),f9(a17,x6392),a49)),a49))
% 1.97/1.98 [392]P6(x3922,x3921,x3923)+~P13(x3923)+P6(x3921,x3922,x3923)
% 1.97/1.98 [366]~P11(x3663)+E(x3661,x3662)+~E(f14(x3661,x3663),f14(x3662,x3663))
% 1.97/1.98 [367]~P1(x3673)+E(x3671,x3672)+~E(f14(x3671,x3673),f14(x3672,x3673))
% 1.97/1.98 [386]~P9(x3862)+~E(f6(x3863,x3861,x3862),f36(x3862))+E(x3861,f36(x3862))
% 1.97/1.98 [387]~P9(x3872)+~E(f6(x3871,x3873,x3872),f36(x3872))+E(x3871,f36(x3872))
% 1.97/1.98 [396]~P10(x3963)+~P6(x3961,x3962,x3963)+E(f6(x3961,x3962,x3963),x3962)
% 1.97/1.98 [397]~P10(x3973)+~P6(x3972,x3971,x3973)+E(f6(x3971,x3972,x3973),x3971)
% 1.97/1.98 [398]~P10(x3983)+P6(x3981,x3982,x3983)+~E(f6(x3981,x3982,x3983),x3982)
% 1.97/1.98 [415]~P12(x4152)+~P6(x4153,x4151,x4152)+P6(f14(x4151,x4152),f14(x4153,x4152),x4152)
% 1.97/1.98 [426]~P13(x4262)+P5(x4261,x4262)+~P5(f15(x4263,x4261,x4262),x4262)
% 1.97/1.98 [431]~P12(x4313)+~P6(x4312,f14(x4311,x4313),x4313)+P6(x4311,f14(x4312,x4313),x4313)
% 1.97/1.98 [433]~P12(x4332)+~P6(f14(x4333,x4332),x4331,x4332)+P6(f14(x4331,x4332),x4333,x4332)
% 1.97/1.98 [441]~P12(x4413)+P6(x4411,x4412,x4413)+~P6(f14(x4412,x4413),f14(x4411,x4413),x4413)
% 1.97/1.98 [449]E(x4491,x4492)+~P6(x4491,x4492,f52(x4493,a26))+~P6(x4492,x4491,f52(x4493,a26))
% 1.97/1.98 [518]~P6(x5183,x5182,f52(a49,a26))+E(f4(f43(x5181,x5182,a49)),f4(x5182))+~P17(f42(x5181,f4(x5183),a49))
% 1.97/1.98 [520]~P6(x5203,f27(x5202),f52(a49,a26))+P17(f42(x5201,f27(x5202),a49))+~P17(f42(x5201,f27(x5203),a49))
% 1.97/1.98 [521]~P6(x5213,f28(x5212),f52(a49,a26))+P17(f42(x5211,f28(x5212),a49))+~P17(f42(x5211,f28(x5213),a49))
% 1.97/1.98 [522]~P6(x5223,f4(x5222),f52(a49,a26))+P17(f42(x5221,f4(x5222),a49))+~P17(f42(x5221,f4(x5223),a49))
% 1.97/1.98 [539]E(x5391,a17)+P17(f42(x5392,f9(x5391,x5393),a49))+~P17(f42(f10(x5391,x5392),f16(x5393,a32),a32))
% 1.97/1.98 [545]~P17(f42(x5451,a29,a51))+P17(f42(x5451,f23(x5452),a51))+~P17(f42(f24(x5451,x5453),x5452,a49))
% 1.97/1.98 [546]P17(f42(f25(x5461,x5462),f27(x5463),a49))+~P17(f42(x5462,f27(x5463),a49))+~P17(f42(x5461,f27(x5463),a49))
% 1.97/1.98 [547]P17(f42(x5471,f27(x5472),a49))+P17(f42(f25(x5473,x5471),x5472,a49))+~P17(f42(f25(x5473,x5471),f27(x5472),a49))
% 1.97/1.98 [548]P17(f42(x5481,f27(x5482),a49))+P17(f42(f25(x5481,x5483),x5482,a49))+~P17(f42(f25(x5481,x5483),f27(x5482),a49))
% 1.97/1.98 [549]P17(f42(x5491,f27(x5492),a49))+P17(f42(f24(x5493,x5491),x5492,a49))+~P17(f42(f24(x5493,x5491),f27(x5492),a49))
% 1.97/1.98 [553]~P17(f42(f24(x5531,x5532),f27(x5533),a49))+P17(f42(f24(x5531,x5532),x5533,a49))+P17(f42(f35(a21,x5531),x5533,a49))
% 1.97/1.98 [559]P17(f42(f24(x5591,x5592),f27(x5593),a49))+~P17(f42(x5592,f27(x5593),a49))+~P17(f42(f35(a21,x5591),x5593,a49))
% 1.97/1.98 [564]~P17(f42(x5643,a8,a50))+~P17(f42(f11(x5643,x5641),f16(x5642,a32),a32))+P17(f42(x5641,f9(a17,x5642),a49))
% 1.97/1.98 [583]P17(f42(x5831,f4(x5832),a49))+~P17(f42(f24(x5833,x5831),f4(x5832),a49))+~P17(f42(f35(a21,f35(a20,x5833)),f4(x5832),a49))
% 1.97/1.98 [597]P17(f42(x5971,f4(x5972),a49))+~P17(f42(f24(f35(a37,x5973),x5971),f4(x5972),a49))+~P17(f42(f35(a21,f35(a37,x5973)),f4(x5972),a49))
% 1.97/1.98 [556]~P6(x5561,f43(x5563,f36(f52(x5562,a26)),x5562),f52(x5562,a26))+E(x5561,f36(f52(x5562,a26)))+E(x5561,f43(x5563,f36(f52(x5562,a26)),x5562))
% 1.97/1.98 [596]~P17(f42(x5963,a8,a50))+P17(f42(x5961,f4(f9(a17,x5962)),a49))+~P17(f42(f24(f35(a37,x5963),x5961),f4(f9(a17,x5962)),a49))
% 1.97/1.98 [604]P17(f42(x6041,f27(x6042),a49))+~P17(f42(x6043,f27(x6042),a49))+~P17(f42(x6041,f27(f43(x6043,x6042,a49)),a49))
% 1.97/1.98 [605]P17(f42(x6051,f4(x6052),a49))+~P17(f42(x6053,f4(x6052),a49))+~P17(f42(x6051,f4(f43(x6053,x6052,a49)),a49))
% 1.97/1.98 [625]P17(f42(x6251,f6(f27(f4(x6252)),f28(x6252),f52(a49,a26)),a49))+~P17(f42(x6253,f27(f4(x6252)),a49))+~P17(f42(x6251,f28(f43(x6253,x6252,a49)),a49))
% 1.97/1.98 [606]~P17(f33(x6063))+P17(f33(f15(f12(a17,x6061,x6062),x6063,a32)))+~P17(f42(x6062,f27(f4(f9(a17,x6063))),a49))
% 1.97/1.98 [619]P17(f42(x6191,f28(x6192),a49))+P17(f42(x6191,f28(x6193),a49))+~P17(f42(x6191,f28(f6(x6192,x6193,f52(a49,a26))),a49))
% 1.97/1.98 [624]~P17(f42(x6243,a34,f48(a32)))+P17(f42(f15(f12(a17,x6241,x6242),x6243,a32),a34,f48(a32)))+~P17(f42(x6242,f27(f4(f9(a17,x6243))),a49))
% 1.97/1.98 [636]P17(f42(x6361,f6(f27(f4(x6362)),f28(x6362),f52(a49,a26)),a49))+~P17(f42(x6363,f27(f4(x6362)),a49))+~P17(f42(x6361,f28(f43(x6363,f36(f52(a49,a26)),a49)),a49))
% 1.97/1.98 [417]~P6(x4173,x4171,f52(x4174,a26))+P17(f35(x4171,x4172))+~P17(f35(x4173,x4172))
% 1.97/1.98 [451]~P10(x4514)+~P6(x4511,x4513,x4514)+P6(x4511,f6(x4512,x4513,x4514),x4514)
% 1.97/1.98 [452]~P10(x4524)+~P6(x4521,x4522,x4524)+P6(x4521,f6(x4522,x4523,x4524),x4524)
% 1.97/1.98 [467]~P10(x4673)+P6(x4671,x4672,x4673)+~P6(f6(x4674,x4671,x4673),x4672,x4673)
% 1.97/1.98 [469]~P10(x4693)+P6(x4691,x4692,x4693)+~P6(f6(x4691,x4694,x4693),x4692,x4693)
% 1.97/1.98 [472]~P6(x4721,x4724,f52(x4723,a26))+~P6(x4724,x4722,f52(x4723,a26))+P6(x4721,x4722,f52(x4723,a26))
% 1.97/1.98 [510]~P6(x5104,x5102,f52(x5103,a26))+P17(f42(x5101,x5102,x5103))+~P17(f42(x5101,x5104,x5103))
% 1.97/1.98 [536]~P6(x5362,f43(x5361,x5364,x5363),f52(x5363,a26))+P6(x5362,x5364,f52(x5363,a26))+P17(f42(x5361,x5362,x5363))
% 1.97/1.98 [537]~P6(x5372,x5374,f52(x5373,a26))+P6(f43(x5371,x5372,x5373),x5374,f52(x5373,a26))+~P17(f42(x5371,x5374,x5373))
% 1.97/1.98 [514]E(x5141,x5142)+P17(f35(x5143,x5141))+~P17(f35(f43(x5142,x5143,x5144),x5141))
% 1.97/1.98 [534]~P6(x5341,x5344,f52(x5343,a26))+~P6(x5342,x5344,f52(x5343,a26))+P6(f6(x5341,x5342,f52(x5343,a26)),x5344,f52(x5343,a26))
% 1.97/1.98 [554]~P13(x5543)+P6(x5541,x5542,x5543)+~P5(f15(x5541,f15(x5542,x5544,x5543),x5543),x5543)
% 1.97/1.98 [561]E(x5611,x5612)+P17(f42(x5611,x5613,x5614))+~P17(f42(x5611,f43(x5612,x5613,x5614),x5614))
% 1.97/1.98 [638]P17(f42(f3(x6381),f7(x6382),a49))+~P17(f42(x6382,a34,f48(a32)))+P17(f42(f15(f12(x6383,a18,f25(f22(x6383),f25(f22(x6384),f3(x6381)))),x6382,a32),a34,f48(a32)))
% 1.97/1.98 [473]~E(f4(x4731),f4(x4733))+~E(f4(x4732),f4(x4734))+E(f4(f6(x4731,x4732,f52(a49,a26))),f4(f6(x4733,x4734,f52(a49,a26))))
% 1.97/1.98 [555]P17(f35(x5551,x5552))+P17(f35(x5553,x5552))+~P17(f35(f6(x5551,x5553,f52(x5554,a26)),x5552))
% 1.97/1.98 [593]P17(f42(x5931,x5932,x5933))+P17(f42(x5931,x5934,x5933))+~P17(f42(x5931,f6(x5932,x5934,f52(x5933,a26)),x5933))
% 1.97/1.98 [598]~P6(f4(x5982),f4(x5984),f52(a49,a26))+~P6(f4(x5981),f4(x5983),f52(a49,a26))+P6(f4(f6(x5981,x5982,f52(a49,a26))),f4(f6(x5983,x5984,f52(a49,a26))),f52(a49,a26))
% 1.97/1.98 [602]E(x6021,x6022)+P17(f42(x6021,f16(x6023,x6024),x6024))+~P17(f42(x6021,f16(f15(x6022,x6023,x6024),x6024),x6024))
% 1.97/1.98 [627]~P17(f42(x6274,f28(x6273),a49))+~P17(f42(x6271,f28(f43(x6274,x6272,a49)),a49))+P17(f42(x6271,f28(f6(x6272,x6273,f52(a49,a26))),a49))
% 1.97/1.98 [634]~P17(f33(x6342))+P17(f42(f3(x6341),f7(x6342),a49))+P17(f33(f15(f12(x6343,a18,f25(f22(x6343),f25(f22(x6344),f3(x6341)))),x6342,a32)))
% 1.97/1.98 [447]~P3(x4474)+P6(f35(x4471,x4472),f35(x4473,x4472),x4474)+~P6(x4471,x4473,f52(x4475,x4474))
% 1.97/1.98 [562]~P6(x5621,x5624,f52(x5623,a26))+~P6(x5622,x5625,f52(x5623,a26))+P6(f6(x5621,x5622,f52(x5623,a26)),f6(x5624,x5625,f52(x5623,a26)),f52(x5623,a26))
% 1.97/1.98 [587]E(x5871,x5872)+E(x5871,x5873)+~E(f43(x5874,f43(x5871,f36(f52(x5875,a26)),x5875),x5875),f43(x5873,f43(x5872,f36(f52(x5875,a26)),x5875),x5875))
% 1.97/1.98 [588]E(x5881,x5882)+E(x5883,x5882)+~E(f43(x5883,f43(x5881,f36(f52(x5884,a26)),x5884),x5884),f43(x5885,f43(x5882,f36(f52(x5884,a26)),x5884),x5884))
% 1.97/1.98 [589]E(x5891,x5892)+E(x5893,x5892)+~E(f43(x5893,f43(x5891,f36(f52(x5894,a26)),x5894),x5894),f43(x5892,f43(x5895,f36(f52(x5894,a26)),x5894),x5894))
% 1.97/1.98 [590]E(x5901,x5902)+E(x5901,x5903)+~E(f43(x5901,f43(x5904,f36(f52(x5905,a26)),x5905),x5905),f43(x5903,f43(x5902,f36(f52(x5905,a26)),x5905),x5905))
% 1.97/1.98 [610]~P6(f44(x6101,x6105,x6106,x6104),x6103,f52(x6104,a26))+~P17(f42(x6102,x6105,x6106))+P17(f42(f35(x6101,x6102),x6103,x6104))
% 1.97/1.98 [659]E(x6591,f35(a37,x6592))+~P17(f42(f12(a18,x6592,f24(x6591,f25(x6594,f25(f22(x6595),f25(f35(a21,x6596),x6597))))),f16(x6593,a32),a32))+~P17(f42(x6593,a34,f48(a32)))
% 1.97/1.98 [660]E(x6601,f24(f35(a37,x6602),f25(f35(a21,x6603),f22(x6604))))+~P17(f42(f12(a18,x6604,f24(x6606,f25(x6607,f25(f22(x6602),f25(f35(a21,x6603),x6601))))),f16(x6605,a32),a32))+~P17(f42(x6605,a34,f48(a32)))
% 1.97/1.98 [666]~P17(f42(f12(a18,x6663,f24(x6664,f25(x6665,f25(f22(x6666),f25(f35(a21,x6662),x6667))))),f16(x6661,a32),a32))+~P17(f42(x6661,a34,f48(a32)))+~P17(f42(x6662,f44(a37,f38(f52(a50,a26)),a50,a51),a51))
% 1.97/1.98 [600]~P17(f42(x6001,a29,a51))+P17(f42(f35(a21,x6001),f7(x6002),a49))+~P17(f42(x6002,a34,f48(a32)))+~P17(f42(x6001,f23(f28(f9(a17,x6002))),a51))
% 1.97/1.98 [412]~P6(x4122,x4121,x4123)+~P6(x4121,x4122,x4123)+E(x4121,x4122)+~P15(x4123)
% 1.97/1.98 [584]~P17(f42(x5843,a29,a51))+~P17(f42(f24(x5843,x5841),f4(x5842),a49))+P17(f42(x5841,f4(x5842),a49))+~P17(f42(f35(a21,x5843),f4(x5842),a49))
% 1.97/1.98 [603]~P17(f42(f35(a21,x6033),f4(x6032),a49))+~P17(f42(f35(a21,f35(a20,x6033)),f4(x6032),a49))+~P17(f42(f24(x6033,x6031),f27(f4(x6032)),a49))+P17(f42(x6031,f27(f4(x6032)),a49))
% 1.97/1.98 [444]~P15(x4443)+~P6(x4441,x4444,x4443)+P6(x4441,x4442,x4443)+~P6(x4444,x4442,x4443)
% 1.97/1.98 [445]~P16(x4453)+~P6(x4451,x4454,x4453)+P6(x4451,x4452,x4453)+~P6(x4454,x4452,x4453)
% 1.97/1.98 [483]~P10(x4833)+~P6(x4832,x4834,x4833)+~P6(x4831,x4834,x4833)+P6(f6(x4831,x4832,x4833),x4834,x4833)
% 1.97/1.98 [504]E(x5041,x5042)+~E(f43(x5043,x5041,x5044),f43(x5043,x5042,x5044))+P17(f42(x5043,x5041,x5044))+P17(f42(x5043,x5042,x5044))
% 1.97/1.98 [543]~P13(x5433)+P6(x5431,x5432,x5433)+~P5(f15(x5431,x5434,x5433),x5433)+~P17(f42(x5432,f16(x5434,x5433),x5433))
% 1.97/1.98 [560]~P13(x5604)+~P6(x5601,x5602,x5604)+~P5(f15(x5602,x5603,x5604),x5604)+P5(f15(x5601,f15(x5602,x5603,x5604),x5604),x5604)
% 1.97/1.98 [623]~P6(x6233,x6232,f52(a49,a26))+P17(f42(f35(a21,x6231),f4(x6232),a49))+~P17(f42(x6234,f27(f4(x6233)),a49))+~P17(f42(f35(a21,x6231),f4(f43(x6234,x6232,a49)),a49))
% 1.97/1.98 [680]P17(f42(x6801,a8,a50))+P17(f42(f12(a18,x6802,f24(f35(a37,x6802),f25(f65(x6802,x6801,x6803,x6804),f25(f22(x6801),f25(f35(a21,x6803),f24(f35(a37,x6801),f25(f35(a21,x6803),f22(x6802)))))))),f16(x6804,a32),a32))+~P17(f42(x6804,a34,f48(a32)))+~P17(f42(f24(f35(a37,x6801),f25(f35(a21,x6803),f22(x6802))),f28(f9(a17,x6804)),a49))
% 1.97/1.98 [644]P17(f42(f35(a21,f35(a20,x6441)),f28(x6442),a49))+~P17(f42(x6444,f27(f4(x6442)),a49))+~P17(f42(x6441,f23(f28(f43(x6444,x6443,a49))),a51))+P17(f42(x6441,f23(f28(f6(x6443,x6442,f52(a49,a26)))),a51))
% 1.97/1.98 [646]P17(f42(x6464,a8,a50))+E(x6461,f24(f35(a37,x6462),f25(f35(a21,x6463),f22(x6464))))+~P17(f42(x6465,a34,f48(a32)))+~P17(f42(f24(f35(a37,x6464),f25(x6466,f25(f22(x6462),f25(f35(a21,x6463),x6461)))),f28(f9(a17,x6465)),a49))
% 1.97/1.98 [663]P17(f42(x6631,a8,a50))+P17(f42(f12(a18,x6631,f24(f35(a37,x6631),f25(x6632,f25(f22(x6633),f25(f35(a21,x6634),x6635))))),f16(x6636,a32),a32))+~P17(f42(x6636,a34,f48(a32)))+~P17(f42(f24(f35(a37,x6631),f25(x6632,f25(f22(x6633),f25(f35(a21,x6634),x6635)))),f28(f9(a17,x6636)),a49))
% 1.97/1.98 [658]P17(f42(x6581,a8,a50))+~P17(f42(x6582,a34,f48(a32)))+~P17(f42(f24(f35(a37,x6581),f25(x6584,f25(f22(x6585),f25(f35(a21,x6583),x6586)))),f28(f9(a17,x6582)),a49))+~P17(f42(x6583,f44(a37,f38(f52(a50,a26)),a50,a51),a51))
% 1.97/1.98 [674]~P17(f42(f12(x6745,x6746,f24(x6743,f3(x6742))),f16(x6744,a32),a32))+~P17(f42(f12(a18,x6746,f24(f35(a37,x6746),f25(f3(x6741),f25(f22(x6745),f25(f35(a21,x6743),x6747))))),f16(x6744,a32),a32))+~P17(f42(x6744,a34,f48(a32)))+P17(f42(f15(f11(a17,f25(f3(x6741),f25(f3(x6742),f35(a21,x6743)))),x6744,a32),a34,f48(a32)))
% 1.97/1.98 [662]E(x6621,f24(f35(a37,x6622),f25(f35(a21,x6623),f22(x6624))))+~P17(f42(f12(x6626,x6624,f24(f35(a37,x6624),f25(f3(x6627),f25(f22(x6622),f25(f35(a21,x6623),x6621))))),f16(x6625,a32),a32))+~P17(f42(x6625,a34,f48(a32)))+P17(f42(x6621,f4(f9(a17,x6625)),a49))
% 1.97/1.98 [668]~P17(f42(f12(x6684,x6685,f24(f35(a37,x6685),f25(f3(x6686),f25(f22(x6687),f25(f35(a21,x6683),x6681))))),f16(x6682,a32),a32))+~P17(f42(x6682,a34,f48(a32)))+P17(f42(x6681,f4(f9(a17,x6682)),a49))+~P17(f42(x6683,f44(a37,f38(f52(a50,a26)),a50,a51),a51))
% 1.97/1.98 [671]~P17(f33(x6714))+~P17(f42(f12(x6715,x6716,f24(x6713,f3(x6712))),f16(x6714,a32),a32))+~P17(f42(f12(a18,x6716,f24(f35(a37,x6716),f25(f3(x6711),f25(f22(x6715),f25(f35(a21,x6713),x6717))))),f16(x6714,a32),a32))+P17(f33(f15(f11(a17,f25(f3(x6711),f25(f3(x6712),f35(a21,x6713)))),x6714,a32)))
% 1.97/1.98 [676]E(x6761,x6762)+~P17(f42(f12(a18,x6768,f24(f35(a37,x6768),f25(x6769,f25(f22(x67610),f25(f35(a21,x6767),x6762))))),f16(x6763,a32),a32))+~P17(f42(f12(a18,x6764,f24(f35(a37,x6764),f25(x6765,f25(f22(x6766),f25(f35(a21,x6767),x6761))))),f16(x6763,a32),a32))+~P17(f42(x6763,a34,f48(a32)))
% 1.97/1.98 [677]E(x6771,x6772)+~P17(f42(f12(a18,x6778,f24(f35(a37,x6778),f25(x6779,f25(f22(x6772),f25(f35(a21,x6776),x67710))))),f16(x6773,a32),a32))+~P17(f42(f12(a18,x6774,f24(f35(a37,x6774),f25(x6775,f25(f22(x6771),f25(f35(a21,x6776),x6777))))),f16(x6773,a32),a32))+~P17(f42(x6773,a34,f48(a32)))
% 1.97/1.98 [678]E(x6781,x6782)+~P17(f42(f12(a18,x6788,f24(f35(a37,x6788),f25(x6782,f25(f22(x6789),f25(f35(a21,x6786),x67810))))),f16(x6783,a32),a32))+~P17(f42(f12(a18,x6784,f24(f35(a37,x6784),f25(x6781,f25(f22(x6785),f25(f35(a21,x6786),x6787))))),f16(x6783,a32),a32))+~P17(f42(x6783,a34,f48(a32)))
% 1.97/1.98 [679]E(x6791,x6792)+~P17(f42(f12(a18,x6791,f24(f35(a37,x6791),f25(x6798,f25(f22(x6799),f25(f35(a21,x6796),x67910))))),f16(x6793,a32),a32))+~P17(f42(f12(a18,x6792,f24(f35(a37,x6792),f25(x6794,f25(f22(x6795),f25(f35(a21,x6796),x6797))))),f16(x6793,a32),a32))+~P17(f42(x6793,a34,f48(a32)))
% 1.97/1.98 [642]E(x6421,x6422)+~P17(f42(x6423,a34,f48(a32)))+P17(f42(f35(a21,x6421),f4(f9(a17,x6423)),a49))+P17(f42(x6422,f44(a37,f38(f52(a50,a26)),a50,a51),a51))+~P17(f42(f35(a21,x6421),f4(f43(f35(a21,x6422),f9(a17,x6423),a49)),a49))
% 1.97/1.98 [675]~P6(x6752,f14(f44(a37,f38(f52(a50,a26)),a50,a51),f52(a51,a26)),f52(a51,a26))+P17(f42(x6751,x6752,a51))+~P17(f42(x6753,a34,f48(a32)))+P17(f42(f35(a21,x6751),f4(f9(a17,x6753)),a49))+~P17(f42(f35(a21,x6751),f4(f6(f44(a21,x6752,a51,a49),f9(a17,x6753),f52(a49,a26))),a49))
% 1.97/1.98 [649]~P17(f42(x6495,a29,a51))+P17(f42(f3(x6491),f7(x6492),a49))+~P17(f42(f12(x6496,x6493,f24(f35(a37,x6493),f25(f35(a21,x6495),f22(x6494)))),f16(x6492,a32),a32))+~P17(f42(x6492,a34,f48(a32)))+P17(f42(f15(f12(x6493,x6494,f24(x6495,f3(x6491))),x6492,a32),a34,f48(a32)))
% 1.97/1.98 [683]~P17(f42(x6831,a29,a51))+P17(f42(f35(a21,x6831),f7(x6832),a49))+~P17(f42(f12(x6836,a18,f25(f22(x6833),f25(f22(x6835),f3(x6834)))),f16(x6832,a32),a32))+~P17(f42(x6832,a34,f48(a32)))+P17(f42(f15(f12(a18,x6833,f24(f35(a37,x6833),f25(f3(x6834),f25(f22(x6835),f25(f35(a21,x6831),f24(f35(a37,x6835),f25(f35(a21,x6831),f22(x6833)))))))),x6832,a32),a34,f48(a32)))
% 1.97/1.98 [645]~P17(f33(x6452))+~P17(f42(x6455,a29,a51))+P17(f42(f3(x6451),f7(x6452),a49))+~P17(f42(f12(x6456,x6453,f24(f35(a37,x6453),f25(f35(a21,x6455),f22(x6454)))),f16(x6452,a32),a32))+P17(f33(f15(f12(x6453,x6454,f24(x6455,f3(x6451))),x6452,a32)))
% 1.97/1.98 [682]~P17(f33(x6822))+~P17(f42(x6821,a29,a51))+P17(f42(f35(a21,x6821),f7(x6822),a49))+~P17(f42(f12(x6826,a18,f25(f22(x6823),f25(f22(x6825),f3(x6824)))),f16(x6822,a32),a32))+P17(f33(f15(f12(a18,x6823,f24(f35(a37,x6823),f25(f3(x6824),f25(f22(x6825),f25(f35(a21,x6821),f24(f35(a37,x6825),f25(f35(a21,x6821),f22(x6823)))))))),x6822,a32)))
% 1.97/1.98 [669]E(x6691,a18)+~P17(f42(f12(x6696,x6691,f24(f35(a37,x6691),f25(f3(x6695),f25(f22(x6692),f25(f35(a21,x6697),x6693))))),f16(x6694,a32),a32))+~P17(f42(f12(x6691,a18,f25(f22(x6691),f25(f22(x6692),f3(x6695)))),f16(x6694,a32),a32))+~P17(f42(x6694,a34,f48(a32)))+P17(f42(f15(f12(x6691,x6692,x6693),x6694,a32),a34,f48(a32)))
% 1.97/1.98 [667]E(x6671,a18)+~P17(f33(x6674))+~P17(f42(f12(x6676,x6671,f24(f35(a37,x6671),f25(f3(x6675),f25(f22(x6672),f25(f35(a21,x6677),x6673))))),f16(x6674,a32),a32))+~P17(f42(f12(x6671,a18,f25(f22(x6671),f25(f22(x6672),f3(x6675)))),f16(x6674,a32),a32))+P17(f33(f15(f12(x6671,x6672,x6673),x6674,a32)))
% 1.97/1.98 [672]~P17(f42(x6723,a29,a51))+~P17(f42(f12(x6727,x6721,f24(f35(a37,x6721),f25(f3(x6728),f25(f22(x6722),f25(f35(a21,x6723),x6729))))),f16(x6725,a32),a32))+~P17(f42(f12(x6726,x6721,f24(x6723,f3(x6724))),f16(x6725,a32),a32))+~P17(f42(x6725,a34,f48(a32)))+P17(f42(f15(f12(x6721,x6722,f24(x6723,f25(f3(x6724),f3(x6724)))),x6725,a32),a34,f48(a32)))
% 1.97/1.98 [670]~P17(f33(x6705))+~P17(f42(x6703,a29,a51))+~P17(f42(f12(x6707,x6701,f24(f35(a37,x6701),f25(f3(x6708),f25(f22(x6702),f25(f35(a21,x6703),x6709))))),f16(x6705,a32),a32))+~P17(f42(f12(x6706,x6701,f24(x6703,f3(x6704))),f16(x6705,a32),a32))+P17(f33(f15(f12(x6701,x6702,f24(x6703,f25(f3(x6704),f3(x6704)))),x6705,a32)))
% 1.97/1.98 [626]E(x6261,a17)+~P17(f42(x6262,f9(x6261,x6263),a49))+P17(f42(f12(x6261,f13(x6261,x6262,x6263),x6262),f16(x6263,a32),a32))+P17(f42(f10(x6261,x6262),f16(x6263,a32),a32))+P17(f42(f11(x6261,x6262),f16(x6263,a32),a32))+P17(f42(x6262,f9(x6261,f5(a32)),a49))
% 1.97/1.98 [681]P17(f42(x6811,a8,a50))+P17(f42(x6812,a8,a50))+~P17(f42(f12(a18,x6811,f24(f35(a37,x6811),f25(x6813,f25(f22(x6812),f25(f35(a21,x6814),f24(f35(a37,x6812),f25(f35(a21,x6814),f22(x6811)))))))),f16(x6815,a32),a32))+~P17(f42(x6815,a34,f48(a32)))+P17(f42(f11(a17,f25(x6813,f25(f66(x6814,x6813,x6815),f35(a21,x6814)))),f16(x6815,a32),a32))+~P17(f42(f35(a21,x6814),f4(f9(a17,x6815)),a49))
% 1.97/1.98 [673]P17(f42(x6731,a8,a50))+P17(f42(x6732,a8,a50))+~P17(f42(f12(a18,x6731,f24(x6736,f25(x6733,f25(f22(x6732),f25(f35(a21,x6734),x6737))))),f16(x6735,a32),a32))+~P17(f42(x6735,a34,f48(a32)))+P17(f42(f11(a17,f25(x6733,f25(f64(x6734,x6733,x6735),f35(a21,x6734)))),f16(x6735,a32),a32))+~P17(f42(f35(a21,x6734),f4(f9(a17,x6735)),a49))
% 1.97/1.98 %EqnAxiom
% 1.97/1.98 [1]E(x11,x11)
% 1.97/1.98 [2]E(x22,x21)+~E(x21,x22)
% 1.97/1.98 [3]E(x31,x33)+~E(x31,x32)+~E(x32,x33)
% 1.97/1.98 [4]~E(x41,x42)+E(f3(x41),f3(x42))
% 1.97/1.98 [5]~E(x51,x52)+E(f27(x51),f27(x52))
% 1.97/1.98 [6]~E(x61,x62)+E(f25(x61,x63),f25(x62,x63))
% 1.97/1.98 [7]~E(x71,x72)+E(f25(x73,x71),f25(x73,x72))
% 1.97/1.98 [8]~E(x81,x82)+E(f22(x81),f22(x82))
% 1.97/1.98 [9]~E(x91,x92)+E(f28(x91),f28(x92))
% 1.97/1.98 [10]~E(x101,x102)+E(f35(x101,x103),f35(x102,x103))
% 1.97/1.98 [11]~E(x111,x112)+E(f35(x113,x111),f35(x113,x112))
% 1.97/1.98 [12]~E(x121,x122)+E(f42(x121,x123,x124),f42(x122,x123,x124))
% 1.97/1.98 [13]~E(x131,x132)+E(f42(x133,x131,x134),f42(x133,x132,x134))
% 1.97/1.98 [14]~E(x141,x142)+E(f42(x143,x144,x141),f42(x143,x144,x142))
% 1.97/1.98 [15]~E(x151,x152)+E(f4(x151),f4(x152))
% 1.97/1.98 [16]~E(x161,x162)+E(f44(x161,x163,x164,x165),f44(x162,x163,x164,x165))
% 1.97/1.98 [17]~E(x171,x172)+E(f44(x173,x171,x174,x175),f44(x173,x172,x174,x175))
% 1.97/1.98 [18]~E(x181,x182)+E(f44(x183,x184,x181,x185),f44(x183,x184,x182,x185))
% 1.97/1.98 [19]~E(x191,x192)+E(f44(x193,x194,x195,x191),f44(x193,x194,x195,x192))
% 1.97/1.98 [20]~E(x201,x202)+E(f38(x201),f38(x202))
% 1.97/1.98 [21]~E(x211,x212)+E(f52(x211,x213),f52(x212,x213))
% 1.97/1.98 [22]~E(x221,x222)+E(f52(x223,x221),f52(x223,x222))
% 1.97/1.98 [23]~E(x231,x232)+E(f43(x231,x233,x234),f43(x232,x233,x234))
% 1.97/1.98 [24]~E(x241,x242)+E(f43(x243,x241,x244),f43(x243,x242,x244))
% 1.97/1.98 [25]~E(x251,x252)+E(f43(x253,x254,x251),f43(x253,x254,x252))
% 1.97/1.98 [26]~E(x261,x262)+E(f33(x261),f33(x262))
% 1.97/1.98 [27]~E(x271,x272)+E(f6(x271,x273,x274),f6(x272,x273,x274))
% 1.97/1.98 [28]~E(x281,x282)+E(f6(x283,x281,x284),f6(x283,x282,x284))
% 1.97/1.98 [29]~E(x291,x292)+E(f6(x293,x294,x291),f6(x293,x294,x292))
% 1.97/1.98 [30]~E(x301,x302)+E(f24(x301,x303),f24(x302,x303))
% 1.97/1.98 [31]~E(x311,x312)+E(f24(x313,x311),f24(x313,x312))
% 1.97/1.98 [32]~E(x321,x322)+E(f9(x321,x323),f9(x322,x323))
% 1.97/1.98 [33]~E(x331,x332)+E(f9(x333,x331),f9(x333,x332))
% 1.97/1.98 [34]~E(x341,x342)+E(f5(x341),f5(x342))
% 1.97/1.98 [35]~E(x351,x352)+E(f11(x351,x353),f11(x352,x353))
% 1.97/1.98 [36]~E(x361,x362)+E(f11(x363,x361),f11(x363,x362))
% 1.97/1.98 [37]~E(x371,x372)+E(f36(x371),f36(x372))
% 1.97/1.98 [38]~E(x381,x382)+E(f16(x381,x383),f16(x382,x383))
% 1.97/1.98 [39]~E(x391,x392)+E(f16(x393,x391),f16(x393,x392))
% 1.97/1.98 [40]~E(x401,x402)+E(f48(x401),f48(x402))
% 1.97/1.98 [41]~E(x411,x412)+E(f15(x411,x413,x414),f15(x412,x413,x414))
% 1.97/1.98 [42]~E(x421,x422)+E(f15(x423,x421,x424),f15(x423,x422,x424))
% 1.97/1.98 [43]~E(x431,x432)+E(f15(x433,x434,x431),f15(x433,x434,x432))
% 1.97/1.98 [44]~E(x441,x442)+E(f12(x441,x443,x444),f12(x442,x443,x444))
% 1.97/1.98 [45]~E(x451,x452)+E(f12(x453,x451,x454),f12(x453,x452,x454))
% 1.97/1.98 [46]~E(x461,x462)+E(f12(x463,x464,x461),f12(x463,x464,x462))
% 1.97/1.98 [47]~E(x471,x472)+E(f39(x471),f39(x472))
% 1.97/1.98 [48]~E(x481,x482)+E(f10(x481,x483),f10(x482,x483))
% 1.97/1.98 [49]~E(x491,x492)+E(f10(x493,x491),f10(x493,x492))
% 1.97/1.98 [50]~E(x501,x502)+E(f7(x501),f7(x502))
% 1.97/1.98 [51]~E(x511,x512)+E(f66(x511,x513,x514),f66(x512,x513,x514))
% 1.97/1.98 [52]~E(x521,x522)+E(f66(x523,x521,x524),f66(x523,x522,x524))
% 1.97/1.98 [53]~E(x531,x532)+E(f66(x533,x534,x531),f66(x533,x534,x532))
% 1.97/1.98 [54]~E(x541,x542)+E(f19(x541),f19(x542))
% 1.97/1.98 [55]~E(x551,x552)+E(f14(x551,x553),f14(x552,x553))
% 1.97/1.98 [56]~E(x561,x562)+E(f14(x563,x561),f14(x563,x562))
% 1.97/1.98 [57]~E(x571,x572)+E(f23(x571),f23(x572))
% 1.97/1.98 [58]~E(x581,x582)+E(f64(x581,x583,x584),f64(x582,x583,x584))
% 1.97/1.98 [59]~E(x591,x592)+E(f64(x593,x591,x594),f64(x593,x592,x594))
% 1.97/1.98 [60]~E(x601,x602)+E(f64(x603,x604,x601),f64(x603,x604,x602))
% 1.97/1.98 [61]~E(x611,x612)+E(f30(x611,x613),f30(x612,x613))
% 1.97/1.98 [62]~E(x621,x622)+E(f30(x623,x621),f30(x623,x622))
% 1.97/1.98 [63]~E(x631,x632)+E(f31(x631,x633),f31(x632,x633))
% 1.97/1.98 [64]~E(x641,x642)+E(f31(x643,x641),f31(x643,x642))
% 1.97/1.98 [65]~E(x651,x652)+E(f45(x651),f45(x652))
% 1.97/1.98 [66]~E(x661,x662)+E(f65(x661,x663,x664,x665),f65(x662,x663,x664,x665))
% 1.97/1.98 [67]~E(x671,x672)+E(f65(x673,x671,x674,x675),f65(x673,x672,x674,x675))
% 1.97/1.98 [68]~E(x681,x682)+E(f65(x683,x684,x681,x685),f65(x683,x684,x682,x685))
% 1.97/1.98 [69]~E(x691,x692)+E(f65(x693,x694,x695,x691),f65(x693,x694,x695,x692))
% 1.97/1.98 [70]~E(x701,x702)+E(f13(x701,x703,x704),f13(x702,x703,x704))
% 1.97/1.98 [71]~E(x711,x712)+E(f13(x713,x711,x714),f13(x713,x712,x714))
% 1.97/1.98 [72]~E(x721,x722)+E(f13(x723,x724,x721),f13(x723,x724,x722))
% 1.97/1.98 [73]~P1(x731)+P1(x732)+~E(x731,x732)
% 1.97/1.98 [74]~P2(x741)+P2(x742)+~E(x741,x742)
% 1.97/1.98 [75]~P7(x751)+P7(x752)+~E(x751,x752)
% 1.97/1.98 [76]~P17(x761)+P17(x762)+~E(x761,x762)
% 1.97/1.98 [77]~P8(x771)+P8(x772)+~E(x771,x772)
% 1.97/1.98 [78]P6(x782,x783,x784)+~E(x781,x782)+~P6(x781,x783,x784)
% 1.97/1.98 [79]P6(x793,x792,x794)+~E(x791,x792)+~P6(x793,x791,x794)
% 1.97/1.98 [80]P6(x803,x804,x802)+~E(x801,x802)+~P6(x803,x804,x801)
% 1.97/1.98 [81]~P10(x811)+P10(x812)+~E(x811,x812)
% 1.97/1.98 [82]P5(x822,x823)+~E(x821,x822)+~P5(x821,x823)
% 1.97/1.98 [83]P5(x833,x832)+~E(x831,x832)+~P5(x833,x831)
% 1.97/1.98 [84]~P13(x841)+P13(x842)+~E(x841,x842)
% 1.97/1.98 [85]~P9(x851)+P9(x852)+~E(x851,x852)
% 1.97/1.98 [86]~P14(x861)+P14(x862)+~E(x861,x862)
% 1.97/1.98 [87]~P3(x871)+P3(x872)+~E(x871,x872)
% 1.97/1.98 [88]~P15(x881)+P15(x882)+~E(x881,x882)
% 1.97/1.98 [89]~P12(x891)+P12(x892)+~E(x891,x892)
% 1.97/1.98 [90]~P11(x901)+P11(x902)+~E(x901,x902)
% 1.97/1.98 [91]~P16(x911)+P16(x912)+~E(x911,x912)
% 1.97/1.98 [92]P4(x922,x923,x924)+~E(x921,x922)+~P4(x921,x923,x924)
% 1.97/1.98 [93]P4(x933,x932,x934)+~E(x931,x932)+~P4(x933,x931,x934)
% 1.97/1.98 [94]P4(x943,x944,x942)+~E(x941,x942)+~P4(x943,x944,x941)
% 1.97/1.98
% 1.97/1.98 %-------------------------------------------
% 1.97/1.98 cnf(685,plain,
% 1.97/1.98 (~P4(a18,a17,x6851)),
% 1.97/1.98 inference(scs_inference,[],[95,261,2,383])).
% 1.97/1.98 cnf(692,plain,
% 1.97/1.98 (~E(f15(x6921,x6922,x6923),x6922)),
% 1.97/1.98 inference(rename_variables,[],[294])).
% 1.97/1.98 cnf(695,plain,
% 1.97/1.98 (~E(f15(x6951,x6952,x6953),x6952)),
% 1.97/1.98 inference(rename_variables,[],[294])).
% 1.97/1.98 cnf(698,plain,
% 1.97/1.98 (~P17(f42(f3(x6981),f28(f9(x6982,f5(a32))),a49))),
% 1.97/1.98 inference(rename_variables,[],[320])).
% 1.97/1.98 cnf(701,plain,
% 1.97/1.98 (~P17(f42(f3(x7011),f28(f9(x7012,f5(a32))),a49))),
% 1.97/1.98 inference(rename_variables,[],[320])).
% 1.97/1.98 cnf(706,plain,
% 1.97/1.98 (~P17(f42(f3(x7061),f28(f9(x7062,f5(a32))),a49))),
% 1.97/1.98 inference(rename_variables,[],[320])).
% 1.97/1.98 cnf(708,plain,
% 1.97/1.98 (P17(f42(f25(f22(a1),f25(f22(a56),f3(a58))),f7(a63),a49))),
% 1.97/1.98 inference(scs_inference,[],[95,261,141,319,246,294,692,290,320,698,701,2,383,10,409,532,443,648,643,582,581,570])).
% 1.97/1.98 cnf(717,plain,
% 1.97/1.98 (P6(x7171,f4(x7171),f52(a49,a26))),
% 1.97/1.98 inference(rename_variables,[],[135])).
% 1.97/1.98 cnf(720,plain,
% 1.97/1.98 (P6(x7201,f4(x7201),f52(a49,a26))),
% 1.97/1.98 inference(rename_variables,[],[135])).
% 1.97/1.98 cnf(726,plain,
% 1.97/1.98 (~P17(f42(f25(f35(a21,a55),x7261),f4(f9(a17,a63)),a49))),
% 1.97/1.98 inference(scs_inference,[],[95,261,141,312,319,188,246,294,692,135,717,290,187,320,698,701,2,383,10,409,532,443,648,643,582,581,570,567,563,526,524,523,503,502,501])).
% 1.97/1.98 cnf(728,plain,
% 1.97/1.98 (~P17(f42(f25(x7281,f35(a21,a55)),f4(f9(a17,a63)),a49))),
% 1.97/1.98 inference(scs_inference,[],[95,261,141,312,319,188,246,294,692,135,717,290,187,320,698,701,2,383,10,409,532,443,648,643,582,581,570,567,563,526,524,523,503,502,501,500])).
% 1.97/1.98 cnf(735,plain,
% 1.97/1.98 (P6(x7351,f4(x7351),f52(a49,a26))),
% 1.97/1.98 inference(rename_variables,[],[135])).
% 1.97/1.98 cnf(739,plain,
% 1.97/1.98 (~P17(f42(x7391,f4(f36(f52(a49,a26))),a49))),
% 1.97/1.98 inference(scs_inference,[],[95,261,141,312,319,188,246,294,692,135,717,720,290,326,187,323,320,698,701,706,2,383,10,409,532,443,648,643,582,581,570,567,563,526,524,523,503,502,501,500,498,497,491,475,465])).
% 1.97/1.98 cnf(743,plain,
% 1.97/1.98 (~P17(f42(f35(a21,a55),f9(a17,a63),a49))),
% 1.97/1.98 inference(scs_inference,[],[95,261,141,312,319,188,246,294,692,135,717,720,735,290,326,187,323,320,698,701,706,2,383,10,409,532,443,648,643,582,581,570,567,563,526,524,523,503,502,501,500,498,497,491,475,465,462,458])).
% 1.97/1.98 cnf(745,plain,
% 1.97/1.98 (~P17(f42(f3(x7451),f9(x7452,f5(a32)),a49))),
% 1.97/1.98 inference(scs_inference,[],[95,261,141,312,319,188,246,294,692,135,717,720,735,290,326,187,323,320,698,701,706,2,383,10,409,532,443,648,643,582,581,570,567,563,526,524,523,503,502,501,500,498,497,491,475,465,462,458,457])).
% 1.97/1.98 cnf(747,plain,
% 1.97/1.98 (~P6(f15(x7471,f36(f52(x7472,a26)),x7473),f14(f15(x7471,f36(f52(x7472,a26)),x7473),f52(x7472,a26)),f52(x7472,a26))),
% 1.97/1.98 inference(scs_inference,[],[95,261,141,312,319,188,246,294,692,695,135,717,720,735,290,326,187,323,320,698,701,706,2,383,10,409,532,443,648,643,582,581,570,567,563,526,524,523,503,502,501,500,498,497,491,475,465,462,458,457,453])).
% 1.97/1.98 cnf(748,plain,
% 1.97/1.98 (~E(f15(x7481,x7482,x7483),x7482)),
% 1.97/1.98 inference(rename_variables,[],[294])).
% 1.97/1.98 cnf(755,plain,
% 1.97/1.98 (P17(f42(f22(x7551),f27(x7552),a49))),
% 1.97/1.98 inference(rename_variables,[],[155])).
% 1.97/1.98 cnf(758,plain,
% 1.97/1.98 (P17(f42(f22(x7581),f27(x7582),a49))),
% 1.97/1.98 inference(rename_variables,[],[155])).
% 1.97/1.98 cnf(761,plain,
% 1.97/1.98 (P17(f42(f22(x7611),f27(x7612),a49))),
% 1.97/1.98 inference(rename_variables,[],[155])).
% 1.97/1.98 cnf(770,plain,
% 1.97/1.98 (P17(f42(f22(x7701),f27(x7702),a49))),
% 1.97/1.98 inference(rename_variables,[],[155])).
% 1.97/1.98 cnf(782,plain,
% 1.97/1.98 (P6(x7821,f4(x7821),f52(a49,a26))),
% 1.97/1.98 inference(rename_variables,[],[135])).
% 1.97/1.98 cnf(784,plain,
% 1.97/1.98 (P6(x7841,x7841,f52(x7842,a26))),
% 1.97/1.98 inference(rename_variables,[],[131])).
% 1.97/1.98 cnf(786,plain,
% 1.97/1.98 (E(f6(x7861,x7861,f52(x7862,a26)),x7861)),
% 1.97/1.98 inference(rename_variables,[],[132])).
% 1.97/1.98 cnf(788,plain,
% 1.97/1.98 (~E(f15(x7881,x7882,x7883),x7882)),
% 1.97/1.98 inference(rename_variables,[],[294])).
% 1.97/1.98 cnf(790,plain,
% 1.97/1.98 (P6(x7901,f4(x7901),f52(a49,a26))),
% 1.97/1.98 inference(rename_variables,[],[135])).
% 1.97/1.98 cnf(794,plain,
% 1.97/1.98 (P17(f42(f35(x7941,x7942),f44(x7941,f38(f52(x7943,a26)),x7943,x7944),x7944))),
% 1.97/1.98 inference(rename_variables,[],[253])).
% 1.97/1.98 cnf(797,plain,
% 1.97/1.98 (P17(f35(f43(x7971,x7972,x7973),x7971))),
% 1.97/1.98 inference(rename_variables,[],[184])).
% 1.97/1.98 cnf(800,plain,
% 1.97/1.98 (~E(f15(x8001,x8002,x8003),x8002)),
% 1.97/1.98 inference(rename_variables,[],[294])).
% 1.97/1.98 cnf(802,plain,
% 1.97/1.98 (~P6(f9(a17,a63),f28(f9(x8021,f5(a32))),f52(a49,a26))),
% 1.97/1.98 inference(scs_inference,[],[95,126,261,141,309,144,312,319,188,246,131,294,692,695,748,788,135,717,720,735,782,132,184,150,290,155,755,758,761,326,310,187,323,253,320,698,701,706,322,217,2,383,10,409,532,443,648,643,582,581,570,567,563,526,524,523,503,502,501,500,498,497,491,475,465,462,458,457,453,425,399,614,594,529,461,460,575,571,542,512,505,442,92,79,78,76,3,449,666,417,659,521])).
% 1.97/1.98 cnf(807,plain,
% 1.97/1.98 (~E(f6(f15(x8071,f36(a26),x8072),x8073,a26),f36(a26))),
% 1.97/1.98 inference(scs_inference,[],[95,126,108,261,141,140,309,144,312,319,188,246,131,294,692,695,748,788,800,135,717,720,735,782,132,184,150,290,155,755,758,761,326,310,187,323,253,320,698,701,706,322,217,2,383,10,409,532,443,648,643,582,581,570,567,563,526,524,523,503,502,501,500,498,497,491,475,465,462,458,457,453,425,399,614,594,529,461,460,575,571,542,512,505,442,92,79,78,76,3,449,666,417,659,521,564,387])).
% 1.97/1.98 cnf(808,plain,
% 1.97/1.98 (~E(f15(x8081,x8082,x8083),x8082)),
% 1.97/1.98 inference(rename_variables,[],[294])).
% 1.97/1.98 cnf(811,plain,
% 1.97/1.98 (~E(f15(x8111,x8112,x8113),x8112)),
% 1.97/1.98 inference(rename_variables,[],[294])).
% 1.97/1.98 cnf(813,plain,
% 1.97/1.98 (P17(f42(f15(f12(a17,x8131,f22(x8132)),a63,a32),a34,f48(a32)))),
% 1.97/1.98 inference(scs_inference,[],[95,126,108,261,141,140,309,144,312,319,188,246,131,294,692,695,748,788,800,808,135,717,720,735,782,132,184,150,290,155,755,758,761,770,326,310,187,323,253,320,698,701,706,322,217,2,383,10,409,532,443,648,643,582,581,570,567,563,526,524,523,503,502,501,500,498,497,491,475,465,462,458,457,453,425,399,614,594,529,461,460,575,571,542,512,505,442,92,79,78,76,3,449,666,417,659,521,564,387,386,624])).
% 1.97/1.98 cnf(814,plain,
% 1.97/1.98 (P17(f42(f22(x8141),f27(x8142),a49))),
% 1.97/1.98 inference(rename_variables,[],[155])).
% 1.97/1.98 cnf(817,plain,
% 1.97/1.98 (P17(f42(f22(x8171),f27(x8172),a49))),
% 1.97/1.98 inference(rename_variables,[],[155])).
% 1.97/1.98 cnf(820,plain,
% 1.97/1.98 (~E(f15(x8201,x8202,x8203),x8202)),
% 1.97/1.98 inference(rename_variables,[],[294])).
% 1.97/1.98 cnf(824,plain,
% 1.97/1.98 (P17(f42(f22(x8241),f27(x8242),a49))),
% 1.97/1.98 inference(rename_variables,[],[155])).
% 1.97/1.98 cnf(827,plain,
% 1.97/1.98 (~P17(f42(x8271,f36(f52(x8272,a26)),x8272))),
% 1.97/1.98 inference(rename_variables,[],[318])).
% 1.97/1.98 cnf(832,plain,
% 1.97/1.98 (P6(x8321,x8321,f52(x8322,a26))),
% 1.97/1.98 inference(rename_variables,[],[131])).
% 1.97/1.98 cnf(835,plain,
% 1.97/1.98 (~P17(f42(x8351,f36(f52(x8352,a26)),x8352))),
% 1.97/1.98 inference(rename_variables,[],[318])).
% 1.97/1.98 cnf(837,plain,
% 1.97/1.98 (~P17(f42(f24(x8371,f3(x8372)),f27(f44(a21,x8373,a51,a49)),a49))),
% 1.97/1.98 inference(scs_inference,[],[95,126,108,261,141,140,309,121,144,312,319,188,246,131,784,294,692,695,748,788,800,808,811,135,717,720,735,782,132,198,184,150,290,155,755,758,761,770,814,817,326,327,318,827,310,187,323,253,320,698,701,706,322,217,2,383,10,409,532,443,648,643,582,581,570,567,563,526,524,523,503,502,501,500,498,497,491,475,465,462,458,457,453,425,399,614,594,529,461,460,575,571,542,512,505,442,92,79,78,76,3,449,666,417,659,521,564,387,386,624,606,660,559,510,610,537,553,549])).
% 1.97/1.98 cnf(840,plain,
% 1.97/1.98 (~P17(f42(f25(f24(x8401,x8402),x8403),f27(f36(f52(a49,a26))),a49))),
% 1.97/1.98 inference(scs_inference,[],[95,126,108,261,141,140,309,121,144,312,319,188,246,131,784,294,692,695,748,788,800,808,811,135,717,720,735,782,132,198,184,150,290,155,755,758,761,770,814,817,326,327,318,827,835,310,187,323,253,320,698,701,706,322,217,2,383,10,409,532,443,648,643,582,581,570,567,563,526,524,523,503,502,501,500,498,497,491,475,465,462,458,457,453,425,399,614,594,529,461,460,575,571,542,512,505,442,92,79,78,76,3,449,666,417,659,521,564,387,386,624,606,660,559,510,610,537,553,549,548])).
% 1.97/1.98 cnf(841,plain,
% 1.97/1.98 (~P17(f42(x8411,f36(f52(x8412,a26)),x8412))),
% 1.97/1.98 inference(rename_variables,[],[318])).
% 1.97/1.98 cnf(843,plain,
% 1.97/1.98 (~P17(f42(f25(x8431,f24(x8432,x8433)),f27(f36(f52(a49,a26))),a49))),
% 1.97/1.98 inference(scs_inference,[],[95,126,108,261,141,140,309,121,144,312,319,188,246,131,784,294,692,695,748,788,800,808,811,135,717,720,735,782,132,198,184,150,290,155,755,758,761,770,814,817,326,327,318,827,835,841,310,187,323,253,320,698,701,706,322,217,2,383,10,409,532,443,648,643,582,581,570,567,563,526,524,523,503,502,501,500,498,497,491,475,465,462,458,457,453,425,399,614,594,529,461,460,575,571,542,512,505,442,92,79,78,76,3,449,666,417,659,521,564,387,386,624,606,660,559,510,610,537,553,549,548,547])).
% 1.97/1.98 cnf(844,plain,
% 1.97/1.98 (~P17(f42(x8441,f36(f52(x8442,a26)),x8442))),
% 1.97/1.98 inference(rename_variables,[],[318])).
% 1.97/1.98 cnf(847,plain,
% 1.97/1.98 (P17(f42(f35(x8471,x8472),f44(x8471,f38(f52(x8473,a26)),x8473,x8474),x8474))),
% 1.97/1.98 inference(rename_variables,[],[253])).
% 1.97/1.98 cnf(852,plain,
% 1.97/1.98 (~P17(f42(f12(x8521,x8522,f24(f35(a37,x8522),f25(f3(x8523),f25(f22(x8524),f25(f35(a21,x8525),f35(a21,a55)))))),f16(a63,a32),a32))),
% 1.97/1.98 inference(scs_inference,[],[95,126,108,261,141,140,309,121,144,312,319,188,246,131,784,294,692,695,748,788,800,808,811,135,717,720,735,782,285,132,198,184,150,290,155,755,758,761,770,814,817,326,327,318,827,835,841,310,187,323,253,794,847,320,698,701,706,322,217,2,383,10,409,532,443,648,643,582,581,570,567,563,526,524,523,503,502,501,500,498,497,491,475,465,462,458,457,453,425,399,614,594,529,461,460,575,571,542,512,505,442,92,79,78,76,3,449,666,417,659,521,564,387,386,624,606,660,559,510,610,537,553,549,548,547,658,668,662])).
% 1.97/1.98 cnf(855,plain,
% 1.97/1.98 (P6(x8551,x8551,a51)),
% 1.97/1.98 inference(scs_inference,[],[95,126,108,114,261,141,140,309,121,144,312,319,188,246,131,784,294,692,695,748,788,800,808,811,135,717,720,735,782,285,132,198,184,150,290,155,755,758,761,770,814,817,326,327,318,827,835,841,310,187,323,253,794,847,320,698,701,706,322,217,2,383,10,409,532,443,648,643,582,581,570,567,563,526,524,523,503,502,501,500,498,497,491,475,465,462,458,457,453,425,399,614,594,529,461,460,575,571,542,512,505,442,92,79,78,76,3,449,666,417,659,521,564,387,386,624,606,660,559,510,610,537,553,549,548,547,658,668,662,369])).
% 1.97/1.98 cnf(857,plain,
% 1.97/1.98 (P6(x8571,x8571,a26)),
% 1.97/1.98 inference(scs_inference,[],[95,126,108,113,114,261,141,140,309,121,144,312,319,188,246,131,784,294,692,695,748,788,800,808,811,135,717,720,735,782,285,132,198,184,150,290,155,755,758,761,770,814,817,326,327,318,827,835,841,310,187,323,253,794,847,320,698,701,706,322,217,2,383,10,409,532,443,648,643,582,581,570,567,563,526,524,523,503,502,501,500,498,497,491,475,465,462,458,457,453,425,399,614,594,529,461,460,575,571,542,512,505,442,92,79,78,76,3,449,666,417,659,521,564,387,386,624,606,660,559,510,610,537,553,549,548,547,658,668,662,369,368])).
% 1.97/1.98 cnf(859,plain,
% 1.97/1.98 (P6(x8591,f6(x8591,x8592,a51),a51)),
% 1.97/1.98 inference(scs_inference,[],[95,126,105,108,113,114,261,141,140,309,121,144,312,319,188,246,131,784,294,692,695,748,788,800,808,811,135,717,720,735,782,285,132,198,184,150,290,155,755,758,761,770,814,817,326,327,318,827,835,841,310,187,323,253,794,847,320,698,701,706,322,217,2,383,10,409,532,443,648,643,582,581,570,567,563,526,524,523,503,502,501,500,498,497,491,475,465,462,458,457,453,425,399,614,594,529,461,460,575,571,542,512,505,442,92,79,78,76,3,449,666,417,659,521,564,387,386,624,606,660,559,510,610,537,553,549,548,547,658,668,662,369,368,403])).
% 1.97/1.98 cnf(863,plain,
% 1.97/1.98 (P6(x8631,f6(x8632,x8631,a51),a51)),
% 1.97/1.98 inference(scs_inference,[],[95,126,104,105,108,113,114,261,141,140,309,121,144,312,319,188,246,131,784,294,692,695,748,788,800,808,811,135,717,720,735,782,285,132,198,184,150,290,155,755,758,761,770,814,817,326,327,318,827,835,841,310,187,323,253,794,847,320,698,701,706,322,217,2,383,10,409,532,443,648,643,582,581,570,567,563,526,524,523,503,502,501,500,498,497,491,475,465,462,458,457,453,425,399,614,594,529,461,460,575,571,542,512,505,442,92,79,78,76,3,449,666,417,659,521,564,387,386,624,606,660,559,510,610,537,553,549,548,547,658,668,662,369,368,403,402,401])).
% 1.97/1.98 cnf(1091,plain,
% 1.97/1.98 (P17(f42(f35(a20,f35(f39(x10911),a17)),f44(a20,f44(f39(x10911),a8,a50,a51),a51,a51),a51))),
% 1.97/1.98 inference(scs_inference,[],[95,126,99,100,101,103,104,105,107,108,109,110,112,113,114,261,141,140,309,121,144,312,319,188,246,131,784,832,294,692,695,748,788,800,808,811,135,717,720,735,782,790,134,133,285,132,198,184,136,150,151,290,155,755,758,761,770,814,817,326,327,318,827,835,841,310,187,323,324,253,794,847,320,698,701,706,322,217,2,383,10,409,532,443,648,643,582,581,570,567,563,526,524,523,503,502,501,500,498,497,491,475,465,462,458,457,453,425,399,614,594,529,461,460,575,571,542,512,505,442,92,79,78,76,3,449,666,417,659,521,564,387,386,624,606,660,559,510,610,537,553,549,548,547,658,668,662,369,368,403,402,401,400,374,373,370,349,348,347,346,345,344,343,342,341,340,337,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,9,8,7,6,5,4,656,637,630,591,578,544,484,480,470,455,454,408,407,406,405,404,395,394,393,390,389,382,381,376,375,372,371,365,360,359,358,357,356,355,354,353,352,351,350,336,335,334,439,424,423,422,421,450,438,437,436,435,434,429,428,427,385,384,380,379,339,338,657,651,647])).
% 1.97/1.98 cnf(1095,plain,
% 1.97/1.98 (~P17(f42(f35(a21,x10951),f44(a21,f36(f52(a51,a26)),a51,a49),a49))),
% 1.97/1.98 inference(scs_inference,[],[95,126,99,100,101,103,104,105,107,108,109,110,112,113,114,261,141,140,309,121,144,312,319,188,246,131,784,832,294,692,695,748,788,800,808,811,135,717,720,735,782,790,134,133,285,132,198,184,136,150,151,290,155,755,758,761,770,814,817,326,327,318,827,835,841,844,310,187,323,324,253,794,847,320,698,701,706,322,217,2,383,10,409,532,443,648,643,582,581,570,567,563,526,524,523,503,502,501,500,498,497,491,475,465,462,458,457,453,425,399,614,594,529,461,460,575,571,542,512,505,442,92,79,78,76,3,449,666,417,659,521,564,387,386,624,606,660,559,510,610,537,553,549,548,547,658,668,662,369,368,403,402,401,400,374,373,370,349,348,347,346,345,344,343,342,341,340,337,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,9,8,7,6,5,4,656,637,630,591,578,544,484,480,470,455,454,408,407,406,405,404,395,394,393,390,389,382,381,376,375,372,371,365,360,359,358,357,356,355,354,353,352,351,350,336,335,334,439,424,423,422,421,450,438,437,436,435,434,429,428,427,385,384,380,379,339,338,657,651,647,635,633])).
% 1.97/1.98 cnf(1096,plain,
% 1.97/1.98 (~P17(f42(x10961,f36(f52(x10962,a26)),x10962))),
% 1.97/1.98 inference(rename_variables,[],[318])).
% 1.97/1.98 cnf(1107,plain,
% 1.97/1.98 (P17(f42(f35(a21,f35(f39(x11071),x11072)),f4(f43(x11073,f9(a17,x11074),a49)),a49))),
% 1.97/1.98 inference(scs_inference,[],[95,126,99,100,101,103,104,105,107,108,109,110,112,113,114,261,141,140,309,121,144,312,319,188,246,131,784,832,294,692,695,748,788,800,808,811,135,717,720,735,782,790,134,133,285,132,198,184,136,150,151,290,155,755,758,761,770,814,817,326,327,318,827,835,841,844,1096,310,187,323,324,253,794,847,320,698,701,706,322,217,2,383,10,409,532,443,648,643,582,581,570,567,563,526,524,523,503,502,501,500,498,497,491,475,465,462,458,457,453,425,399,614,594,529,461,460,575,571,542,512,505,442,92,79,78,76,3,449,666,417,659,521,564,387,386,624,606,660,559,510,610,537,553,549,548,547,658,668,662,369,368,403,402,401,400,374,373,370,349,348,347,346,345,344,343,342,341,340,337,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,9,8,7,6,5,4,656,637,630,591,578,544,484,480,470,455,454,408,407,406,405,404,395,394,393,390,389,382,381,376,375,372,371,365,360,359,358,357,356,355,354,353,352,351,350,336,335,334,439,424,423,422,421,450,438,437,436,435,434,429,428,427,385,384,380,379,339,338,657,651,647,635,633,632,631,595,574,573])).
% 1.97/1.98 cnf(1109,plain,
% 1.97/1.98 (P17(f42(f24(a54,f3(a62)),f28(f43(x11091,f9(a17,a63),a49)),a49))),
% 1.97/1.98 inference(scs_inference,[],[95,126,99,100,101,103,104,105,107,108,109,110,112,113,114,261,141,140,309,121,144,312,319,188,246,131,784,832,294,692,695,748,788,800,808,811,135,717,720,735,782,790,134,133,285,132,198,184,136,150,151,290,155,755,758,761,770,814,817,326,327,318,827,835,841,844,1096,310,187,323,324,253,794,847,320,698,701,706,322,217,2,383,10,409,532,443,648,643,582,581,570,567,563,526,524,523,503,502,501,500,498,497,491,475,465,462,458,457,453,425,399,614,594,529,461,460,575,571,542,512,505,442,92,79,78,76,3,449,666,417,659,521,564,387,386,624,606,660,559,510,610,537,553,549,548,547,658,668,662,369,368,403,402,401,400,374,373,370,349,348,347,346,345,344,343,342,341,340,337,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,9,8,7,6,5,4,656,637,630,591,578,544,484,480,470,455,454,408,407,406,405,404,395,394,393,390,389,382,381,376,375,372,371,365,360,359,358,357,356,355,354,353,352,351,350,336,335,334,439,424,423,422,421,450,438,437,436,435,434,429,428,427,385,384,380,379,339,338,657,651,647,635,633,632,631,595,574,573,572])).
% 1.97/1.98 cnf(1126,plain,
% 1.97/1.98 (~P17(f42(x11261,f28(f36(f52(a49,a26))),a49))),
% 1.97/1.98 inference(rename_variables,[],[323])).
% 1.97/1.98 cnf(1128,plain,
% 1.97/1.98 (~P17(f42(f3(x11281),f27(f27(f44(a21,x11282,a51,a49))),a49))),
% 1.97/1.98 inference(scs_inference,[],[95,126,99,100,101,103,104,105,107,108,109,110,112,113,114,261,141,140,309,121,144,312,319,188,246,131,784,832,294,692,695,748,788,800,808,811,135,717,720,735,782,790,134,133,285,132,198,184,797,136,150,151,290,155,755,758,761,770,814,817,326,327,318,827,835,841,844,1096,310,187,323,324,253,794,847,320,698,701,706,322,217,2,383,10,409,532,443,648,643,582,581,570,567,563,526,524,523,503,502,501,500,498,497,491,475,465,462,458,457,453,425,399,614,594,529,461,460,575,571,542,512,505,442,92,79,78,76,3,449,666,417,659,521,564,387,386,624,606,660,559,510,610,537,553,549,548,547,658,668,662,369,368,403,402,401,400,374,373,370,349,348,347,346,345,344,343,342,341,340,337,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,9,8,7,6,5,4,656,637,630,591,578,544,484,480,470,455,454,408,407,406,405,404,395,394,393,390,389,382,381,376,375,372,371,365,360,359,358,357,356,355,354,353,352,351,350,336,335,334,439,424,423,422,421,450,438,437,436,435,434,429,428,427,385,384,380,379,339,338,657,651,647,635,633,632,631,595,574,573,572,525,515,513,499,495,494,489,488,487])).
% 1.97/1.98 cnf(1150,plain,
% 1.97/1.98 (~E(f6(f15(x11501,f36(f52(x11502,a26)),x11503),x11504,f52(x11502,a26)),f36(f52(x11502,a26)))),
% 1.97/1.98 inference(scs_inference,[],[95,126,99,100,101,103,104,105,107,108,109,110,112,113,114,261,141,140,309,121,144,312,319,188,246,131,784,832,294,692,695,748,788,800,808,811,820,135,717,720,735,782,790,134,133,285,132,198,184,797,136,150,151,120,290,155,755,758,761,770,814,817,326,327,318,827,835,841,844,1096,310,187,323,324,253,794,847,320,698,701,706,322,217,2,383,10,409,532,443,648,643,582,581,570,567,563,526,524,523,503,502,501,500,498,497,491,475,465,462,458,457,453,425,399,614,594,529,461,460,575,571,542,512,505,442,92,79,78,76,3,449,666,417,659,521,564,387,386,624,606,660,559,510,610,537,553,549,548,547,658,668,662,369,368,403,402,401,400,374,373,370,349,348,347,346,345,344,343,342,341,340,337,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,9,8,7,6,5,4,656,637,630,591,578,544,484,480,470,455,454,408,407,406,405,404,395,394,393,390,389,382,381,376,375,372,371,365,360,359,358,357,356,355,354,353,352,351,350,336,335,334,439,424,423,422,421,450,438,437,436,435,434,429,428,427,385,384,380,379,339,338,657,651,647,635,633,632,631,595,574,573,572,525,515,513,499,495,494,489,488,487,479,478,477,476,459,456,440,420,419,418,414])).
% 1.97/1.98 cnf(1151,plain,
% 1.97/1.98 (~E(f15(x11511,x11512,x11513),x11512)),
% 1.97/1.98 inference(rename_variables,[],[294])).
% 1.97/1.98 cnf(1154,plain,
% 1.97/1.98 (~E(f15(x11541,x11542,x11543),x11542)),
% 1.97/1.98 inference(rename_variables,[],[294])).
% 1.97/1.98 cnf(1157,plain,
% 1.97/1.98 (~E(f15(x11571,x11572,x11573),x11572)),
% 1.97/1.98 inference(rename_variables,[],[294])).
% 1.97/1.98 cnf(1160,plain,
% 1.97/1.98 (~E(f15(x11601,x11602,x11603),x11602)),
% 1.97/1.98 inference(rename_variables,[],[294])).
% 1.97/1.98 cnf(1172,plain,
% 1.97/1.98 (P17(f42(a54,f6(a29,x11721,f52(a51,a26)),a51))),
% 1.97/1.98 inference(scs_inference,[],[95,126,99,100,101,103,104,105,107,108,109,110,112,113,114,261,141,140,309,121,144,312,319,188,246,131,784,832,294,692,695,748,788,800,808,811,820,1151,1154,1157,135,717,720,735,782,790,134,133,285,132,198,184,797,136,150,151,120,290,155,755,758,761,770,814,817,326,327,318,827,835,841,844,1096,310,187,323,324,253,794,847,320,698,701,706,322,217,2,383,10,409,532,443,648,643,582,581,570,567,563,526,524,523,503,502,501,500,498,497,491,475,465,462,458,457,453,425,399,614,594,529,461,460,575,571,542,512,505,442,92,79,78,76,3,449,666,417,659,521,564,387,386,624,606,660,559,510,610,537,553,549,548,547,658,668,662,369,368,403,402,401,400,374,373,370,349,348,347,346,345,344,343,342,341,340,337,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,9,8,7,6,5,4,656,637,630,591,578,544,484,480,470,455,454,408,407,406,405,404,395,394,393,390,389,382,381,376,375,372,371,365,360,359,358,357,356,355,354,353,352,351,350,336,335,334,439,424,423,422,421,450,438,437,436,435,434,429,428,427,385,384,380,379,339,338,657,651,647,635,633,632,631,595,574,573,572,525,515,513,499,495,494,489,488,487,479,478,477,476,459,456,440,420,419,418,414,413,378,377,608,618,538,519,486,558])).
% 1.97/1.98 cnf(1195,plain,
% 1.97/1.98 (~P17(f42(f35(a21,f35(a37,a18)),f4(f9(a17,a63)),a49))),
% 1.97/1.98 inference(scs_inference,[],[95,126,99,100,101,103,104,105,107,108,109,110,112,113,114,261,141,140,309,121,144,312,319,188,246,131,784,832,294,692,695,748,788,800,808,811,820,1151,1154,1157,135,717,720,735,782,790,134,133,285,132,786,122,198,184,797,136,150,151,120,290,155,755,758,761,770,814,817,326,327,318,827,835,841,844,1096,310,187,323,324,253,794,847,320,698,701,706,322,217,2,383,10,409,532,443,648,643,582,581,570,567,563,526,524,523,503,502,501,500,498,497,491,475,465,462,458,457,453,425,399,614,594,529,461,460,575,571,542,512,505,442,92,79,78,76,3,449,666,417,659,521,564,387,386,624,606,660,559,510,610,537,553,549,548,547,658,668,662,369,368,403,402,401,400,374,373,370,349,348,347,346,345,344,343,342,341,340,337,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,9,8,7,6,5,4,656,637,630,591,578,544,484,480,470,455,454,408,407,406,405,404,395,394,393,390,389,382,381,376,375,372,371,365,360,359,358,357,356,355,354,353,352,351,350,336,335,334,439,424,423,422,421,450,438,437,436,435,434,429,428,427,385,384,380,379,339,338,657,651,647,635,633,632,631,595,574,573,572,525,515,513,499,495,494,489,488,487,479,478,477,476,459,456,440,420,419,418,414,413,378,377,608,618,538,519,486,558,557,550,541,490,599,93,91,80,590,589,588,587,586])).
% 1.97/1.98 cnf(1199,plain,
% 1.97/1.98 (P17(f42(f35(a21,f35(a37,a17)),f4(f9(a17,a63)),a49))),
% 1.97/1.98 inference(scs_inference,[],[95,126,99,100,101,103,104,105,107,108,109,110,112,113,114,261,141,140,309,121,144,312,319,188,246,131,784,832,294,692,695,748,788,800,808,811,820,1151,1154,1157,135,717,720,735,782,790,134,133,285,132,786,122,198,184,797,136,150,151,120,290,155,755,758,761,770,814,817,326,327,318,827,835,841,844,1096,310,187,323,324,253,794,847,320,698,701,706,322,217,2,383,10,409,532,443,648,643,582,581,570,567,563,526,524,523,503,502,501,500,498,497,491,475,465,462,458,457,453,425,399,614,594,529,461,460,575,571,542,512,505,442,92,79,78,76,3,449,666,417,659,521,564,387,386,624,606,660,559,510,610,537,553,549,548,547,658,668,662,369,368,403,402,401,400,374,373,370,349,348,347,346,345,344,343,342,341,340,337,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,9,8,7,6,5,4,656,637,630,591,578,544,484,480,470,455,454,408,407,406,405,404,395,394,393,390,389,382,381,376,375,372,371,365,360,359,358,357,356,355,354,353,352,351,350,336,335,334,439,424,423,422,421,450,438,437,436,435,434,429,428,427,385,384,380,379,339,338,657,651,647,635,633,632,631,595,574,573,572,525,515,513,499,495,494,489,488,487,479,478,477,476,459,456,440,420,419,418,414,413,378,377,608,618,538,519,486,558,557,550,541,490,599,93,91,80,590,589,588,587,586,585,569])).
% 1.97/1.98 cnf(1215,plain,
% 1.97/1.98 (P6(x12151,x12151,f52(x12152,a26))),
% 1.97/1.98 inference(rename_variables,[],[131])).
% 1.97/1.98 cnf(1217,plain,
% 1.97/1.98 (~P17(f42(f24(x12171,x12172),f27(f27(f36(f52(a49,a26)))),a49))),
% 1.97/1.98 inference(scs_inference,[],[95,126,99,100,101,103,104,105,106,107,108,109,110,111,112,113,114,261,141,140,309,121,144,312,319,188,246,131,784,832,1215,294,692,695,748,788,800,808,811,820,1151,1154,1157,135,717,720,735,782,790,134,133,285,132,786,122,198,184,797,136,150,151,120,290,155,755,758,761,770,814,817,326,327,318,827,835,841,844,1096,310,187,323,324,330,253,794,847,320,698,701,706,322,217,2,383,10,409,532,443,648,643,582,581,570,567,563,526,524,523,503,502,501,500,498,497,491,475,465,462,458,457,453,425,399,614,594,529,461,460,575,571,542,512,505,442,92,79,78,76,3,449,666,417,659,521,564,387,386,624,606,660,559,510,610,537,553,549,548,547,658,668,662,369,368,403,402,401,400,374,373,370,349,348,347,346,345,344,343,342,341,340,337,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,9,8,7,6,5,4,656,637,630,591,578,544,484,480,470,455,454,408,407,406,405,404,395,394,393,390,389,382,381,376,375,372,371,365,360,359,358,357,356,355,354,353,352,351,350,336,335,334,439,424,423,422,421,450,438,437,436,435,434,429,428,427,385,384,380,379,339,338,657,651,647,635,633,632,631,595,574,573,572,525,515,513,499,495,494,489,488,487,479,478,477,476,459,456,440,420,419,418,414,413,378,377,608,618,538,519,486,558,557,550,541,490,599,93,91,80,590,589,588,587,586,585,569,568,447,398,397,367,639,522,520])).
% 1.97/1.98 cnf(1218,plain,
% 1.97/1.98 (P6(x12181,x12181,f52(x12182,a26))),
% 1.97/1.98 inference(rename_variables,[],[131])).
% 1.97/1.98 cnf(1222,plain,
% 1.97/1.98 (~P6(f9(a17,a63),f4(f9(x12221,f5(a32))),f52(a49,a26))),
% 1.97/1.98 inference(scs_inference,[],[95,126,99,100,101,103,104,105,106,107,108,109,110,111,112,113,114,261,141,140,309,121,144,312,319,188,246,131,784,832,1215,294,692,695,748,788,800,808,811,820,1151,1154,1157,135,717,720,735,782,790,134,133,285,132,786,122,198,184,797,136,150,151,120,290,155,755,758,761,770,814,817,326,327,318,827,835,841,844,1096,310,187,323,324,330,253,794,847,320,698,701,706,322,217,2,383,10,409,532,443,648,643,582,581,570,567,563,526,524,523,503,502,501,500,498,497,491,475,465,462,458,457,453,425,399,614,594,529,461,460,575,571,542,512,505,442,92,79,78,76,3,449,666,417,659,521,564,387,386,624,606,660,559,510,610,537,553,549,548,547,658,668,662,369,368,403,402,401,400,374,373,370,349,348,347,346,345,344,343,342,341,340,337,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,9,8,7,6,5,4,656,637,630,591,578,544,484,480,470,455,454,408,407,406,405,404,395,394,393,390,389,382,381,376,375,372,371,365,360,359,358,357,356,355,354,353,352,351,350,336,335,334,439,424,423,422,421,450,438,437,436,435,434,429,428,427,385,384,380,379,339,338,657,651,647,635,633,632,631,595,574,573,572,525,515,513,499,495,494,489,488,487,479,478,477,476,459,456,440,420,419,418,414,413,378,377,608,618,538,519,486,558,557,550,541,490,599,93,91,80,590,589,588,587,586,585,569,568,447,398,397,367,639,522,520,596,472])).
% 1.97/1.98 cnf(1225,plain,
% 1.97/1.98 (~P17(f35(f36(f52(x12251,a26)),x12252))),
% 1.97/1.98 inference(rename_variables,[],[310])).
% 1.97/1.98 cnf(1228,plain,
% 1.97/1.98 (~P17(f42(f3(f45(x12281)),f7(x12281),a49))),
% 1.97/1.98 inference(rename_variables,[],[313])).
% 1.97/1.98 cnf(1233,plain,
% 1.97/1.98 (P17(f42(f24(a54,f3(a62)),f28(f6(f9(a17,a63),f9(a17,a63),f52(a49,a26))),a49))),
% 1.97/1.98 inference(scs_inference,[],[95,126,99,100,101,103,104,105,106,107,108,109,110,111,112,113,114,261,141,140,309,121,144,312,319,188,246,131,784,832,1215,294,692,695,748,788,800,808,811,820,1151,1154,1157,135,717,720,735,782,790,134,133,280,285,132,786,122,198,184,797,136,150,151,120,290,155,755,758,761,770,814,817,326,327,318,827,835,841,844,1096,310,313,1228,187,323,324,330,253,794,847,320,698,701,706,322,217,2,383,10,409,532,443,648,643,582,581,570,567,563,526,524,523,503,502,501,500,498,497,491,475,465,462,458,457,453,425,399,614,594,529,461,460,575,571,542,512,505,442,92,79,78,76,3,449,666,417,659,521,564,387,386,624,606,660,559,510,610,537,553,549,548,547,658,668,662,369,368,403,402,401,400,374,373,370,349,348,347,346,345,344,343,342,341,340,337,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,9,8,7,6,5,4,656,637,630,591,578,544,484,480,470,455,454,408,407,406,405,404,395,394,393,390,389,382,381,376,375,372,371,365,360,359,358,357,356,355,354,353,352,351,350,336,335,334,439,424,423,422,421,450,438,437,436,435,434,429,428,427,385,384,380,379,339,338,657,651,647,635,633,632,631,595,574,573,572,525,515,513,499,495,494,489,488,487,479,478,477,476,459,456,440,420,419,418,414,413,378,377,608,618,538,519,486,558,557,550,541,490,599,93,91,80,590,589,588,587,586,585,569,568,447,398,397,367,639,522,520,596,472,514,638,634,627])).
% 1.97/1.98 cnf(1237,plain,
% 1.97/1.98 (P17(f42(a54,f23(f28(f9(a17,a63))),a51))),
% 1.97/1.98 inference(scs_inference,[],[95,126,99,100,101,103,104,105,106,107,108,109,110,111,112,113,114,261,141,140,309,121,144,312,319,188,246,131,784,832,1215,1218,294,692,695,748,788,800,808,811,820,1151,1154,1157,135,717,720,735,782,790,134,133,280,285,132,786,122,198,184,797,136,150,151,120,290,155,755,758,761,770,814,817,326,327,318,827,835,841,844,1096,310,313,1228,187,323,324,330,253,794,847,320,698,701,706,322,217,2,383,10,409,532,443,648,643,582,581,570,567,563,526,524,523,503,502,501,500,498,497,491,475,465,462,458,457,453,425,399,614,594,529,461,460,575,571,542,512,505,442,92,79,78,76,3,449,666,417,659,521,564,387,386,624,606,660,559,510,610,537,553,549,548,547,658,668,662,369,368,403,402,401,400,374,373,370,349,348,347,346,345,344,343,342,341,340,337,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,9,8,7,6,5,4,656,637,630,591,578,544,484,480,470,455,454,408,407,406,405,404,395,394,393,390,389,382,381,376,375,372,371,365,360,359,358,357,356,355,354,353,352,351,350,336,335,334,439,424,423,422,421,450,438,437,436,435,434,429,428,427,385,384,380,379,339,338,657,651,647,635,633,632,631,595,574,573,572,525,515,513,499,495,494,489,488,487,479,478,477,476,459,456,440,420,419,418,414,413,378,377,608,618,538,519,486,558,557,550,541,490,599,93,91,80,590,589,588,587,586,585,569,568,447,398,397,367,639,522,520,596,472,514,638,634,627,598,545])).
% 1.97/1.98 cnf(1239,plain,
% 1.97/1.98 (~P17(f42(f10(a18,f3(x12391)),f16(f5(a32),a32),a32))),
% 1.97/1.99 inference(scs_inference,[],[95,126,99,100,101,103,104,105,106,107,108,109,110,111,112,113,114,261,141,140,309,121,144,312,319,188,246,131,784,832,1215,1218,294,692,695,748,788,800,808,811,820,1151,1154,1157,135,717,720,735,782,790,134,133,280,285,132,786,122,198,184,797,136,150,151,120,290,155,755,758,761,770,814,817,326,327,318,827,835,841,844,1096,310,313,1228,187,323,324,330,253,794,847,320,698,701,706,322,217,2,383,10,409,532,443,648,643,582,581,570,567,563,526,524,523,503,502,501,500,498,497,491,475,465,462,458,457,453,425,399,614,594,529,461,460,575,571,542,512,505,442,92,79,78,76,3,449,666,417,659,521,564,387,386,624,606,660,559,510,610,537,553,549,548,547,658,668,662,369,368,403,402,401,400,374,373,370,349,348,347,346,345,344,343,342,341,340,337,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,9,8,7,6,5,4,656,637,630,591,578,544,484,480,470,455,454,408,407,406,405,404,395,394,393,390,389,382,381,376,375,372,371,365,360,359,358,357,356,355,354,353,352,351,350,336,335,334,439,424,423,422,421,450,438,437,436,435,434,429,428,427,385,384,380,379,339,338,657,651,647,635,633,632,631,595,574,573,572,525,515,513,499,495,494,489,488,487,479,478,477,476,459,456,440,420,419,418,414,413,378,377,608,618,538,519,486,558,557,550,541,490,599,93,91,80,590,589,588,587,586,585,569,568,447,398,397,367,639,522,520,596,472,514,638,634,627,598,545,539])).
% 1.97/1.99 cnf(1248,plain,
% 1.97/1.99 (~P17(f42(f3(x12481),f27(f43(f22(x12482),f44(a21,x12483,a51,a49),a49)),a49))),
% 1.97/1.99 inference(scs_inference,[],[95,126,99,100,101,103,104,105,106,107,108,109,110,111,112,113,114,261,141,140,309,121,144,312,319,188,246,131,784,832,1215,1218,294,692,695,748,788,800,808,811,820,1151,1154,1157,135,717,720,735,782,790,134,133,280,285,132,786,122,198,184,797,136,150,151,120,290,155,755,758,761,770,814,817,824,326,327,318,827,835,841,844,1096,310,313,1228,187,323,1126,324,330,253,794,847,320,698,701,706,322,217,2,383,10,409,532,443,648,643,582,581,570,567,563,526,524,523,503,502,501,500,498,497,491,475,465,462,458,457,453,425,399,614,594,529,461,460,575,571,542,512,505,442,92,79,78,76,3,449,666,417,659,521,564,387,386,624,606,660,559,510,610,537,553,549,548,547,658,668,662,369,368,403,402,401,400,374,373,370,349,348,347,346,345,344,343,342,341,340,337,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,9,8,7,6,5,4,656,637,630,591,578,544,484,480,470,455,454,408,407,406,405,404,395,394,393,390,389,382,381,376,375,372,371,365,360,359,358,357,356,355,354,353,352,351,350,336,335,334,439,424,423,422,421,450,438,437,436,435,434,429,428,427,385,384,380,379,339,338,657,651,647,635,633,632,631,595,574,573,572,525,515,513,499,495,494,489,488,487,479,478,477,476,459,456,440,420,419,418,414,413,378,377,608,618,538,519,486,558,557,550,541,490,599,93,91,80,590,589,588,587,586,585,569,568,447,398,397,367,639,522,520,596,472,514,638,634,627,598,545,539,473,619,605,604])).
% 1.97/1.99 cnf(1249,plain,
% 1.97/1.99 (P17(f42(f22(x12491),f27(x12492),a49))),
% 1.97/1.99 inference(rename_variables,[],[155])).
% 1.97/1.99 cnf(1269,plain,
% 1.97/1.99 (~P6(f15(x12691,f36(a51),x12692),f36(a51),a51)),
% 1.97/1.99 inference(scs_inference,[],[95,126,99,100,101,103,104,105,106,107,108,109,110,111,112,113,114,261,141,140,309,121,144,312,319,325,188,246,131,784,832,1215,1218,294,692,695,748,788,800,808,811,820,1151,1154,1157,1160,135,717,720,735,782,790,134,133,280,303,285,132,786,122,198,184,797,136,150,151,120,307,290,155,755,758,761,770,814,817,824,1249,326,327,318,827,835,841,844,1096,310,1225,313,1228,187,323,1126,324,330,253,794,847,320,698,701,706,322,217,2,383,10,409,532,443,648,643,582,581,570,567,563,526,524,523,503,502,501,500,498,497,491,475,465,462,458,457,453,425,399,614,594,529,461,460,575,571,542,512,505,442,92,79,78,76,3,449,666,417,659,521,564,387,386,624,606,660,559,510,610,537,553,549,548,547,658,668,662,369,368,403,402,401,400,374,373,370,349,348,347,346,345,344,343,342,341,340,337,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,9,8,7,6,5,4,656,637,630,591,578,544,484,480,470,455,454,408,407,406,405,404,395,394,393,390,389,382,381,376,375,372,371,365,360,359,358,357,356,355,354,353,352,351,350,336,335,334,439,424,423,422,421,450,438,437,436,435,434,429,428,427,385,384,380,379,339,338,657,651,647,635,633,632,631,595,574,573,572,525,515,513,499,495,494,489,488,487,479,478,477,476,459,456,440,420,419,418,414,413,378,377,608,618,538,519,486,558,557,550,541,490,599,93,91,80,590,589,588,587,586,585,569,568,447,398,397,367,639,522,520,596,472,514,638,634,627,598,545,539,473,619,605,604,561,555,546,534,602,562,556,593,412])).
% 1.97/1.99 cnf(1270,plain,
% 1.97/1.99 (~E(f15(x12701,x12702,x12703),x12702)),
% 1.97/1.99 inference(rename_variables,[],[294])).
% 1.97/1.99 cnf(1274,plain,
% 1.97/1.99 (~P17(f42(f35(a21,a55),f4(f43(f22(x12741),f9(a17,a63),a49)),a49))),
% 1.97/1.99 inference(scs_inference,[],[95,126,99,100,101,103,104,105,106,107,108,109,110,111,112,113,114,261,141,140,309,121,144,312,319,325,188,246,131,784,832,1215,1218,294,692,695,748,788,800,808,811,820,1151,1154,1157,1160,135,717,720,735,782,790,134,133,280,303,285,132,786,122,198,184,797,136,150,151,120,307,290,155,755,758,761,770,814,817,824,1249,326,327,318,827,835,841,844,1096,310,1225,157,313,1228,187,323,1126,324,330,253,794,847,320,698,701,706,322,217,2,383,10,409,532,443,648,643,582,581,570,567,563,526,524,523,503,502,501,500,498,497,491,475,465,462,458,457,453,425,399,614,594,529,461,460,575,571,542,512,505,442,92,79,78,76,3,449,666,417,659,521,564,387,386,624,606,660,559,510,610,537,553,549,548,547,658,668,662,369,368,403,402,401,400,374,373,370,349,348,347,346,345,344,343,342,341,340,337,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,9,8,7,6,5,4,656,637,630,591,578,544,484,480,470,455,454,408,407,406,405,404,395,394,393,390,389,382,381,376,375,372,371,365,360,359,358,357,356,355,354,353,352,351,350,336,335,334,439,424,423,422,421,450,438,437,436,435,434,429,428,427,385,384,380,379,339,338,657,651,647,635,633,632,631,595,574,573,572,525,515,513,499,495,494,489,488,487,479,478,477,476,459,456,440,420,419,418,414,413,378,377,608,618,538,519,486,558,557,550,541,490,599,93,91,80,590,589,588,587,586,585,569,568,447,398,397,367,639,522,520,596,472,514,638,634,627,598,545,539,473,619,605,604,561,555,546,534,602,562,556,593,412,483,623])).
% 1.97/1.99 cnf(1283,plain,
% 1.97/1.99 (P5(f15(f15(x12831,f36(a51),x12832),f15(f15(x12831,f36(a51),x12832),f5(a51),a51),a51),a51)),
% 1.97/1.99 inference(scs_inference,[],[95,126,99,100,101,103,104,105,106,107,108,109,110,111,112,113,114,261,141,140,309,121,144,312,319,325,188,246,131,784,832,1215,1218,294,692,695,748,788,800,808,811,820,1151,1154,1157,1160,1270,135,717,720,735,782,790,134,133,280,303,285,132,786,122,198,184,797,136,150,151,120,307,290,155,755,758,761,770,814,817,824,1249,326,327,318,827,835,841,844,1096,310,1225,157,313,1228,187,323,1126,324,330,253,794,847,320,698,701,706,322,217,2,383,10,409,532,443,648,643,582,581,570,567,563,526,524,523,503,502,501,500,498,497,491,475,465,462,458,457,453,425,399,614,594,529,461,460,575,571,542,512,505,442,92,79,78,76,3,449,666,417,659,521,564,387,386,624,606,660,559,510,610,537,553,549,548,547,658,668,662,369,368,403,402,401,400,374,373,370,349,348,347,346,345,344,343,342,341,340,337,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,9,8,7,6,5,4,656,637,630,591,578,544,484,480,470,455,454,408,407,406,405,404,395,394,393,390,389,382,381,376,375,372,371,365,360,359,358,357,356,355,354,353,352,351,350,336,335,334,439,424,423,422,421,450,438,437,436,435,434,429,428,427,385,384,380,379,339,338,657,651,647,635,633,632,631,595,574,573,572,525,515,513,499,495,494,489,488,487,479,478,477,476,459,456,440,420,419,418,414,413,378,377,608,618,538,519,486,558,557,550,541,490,599,93,91,80,590,589,588,587,586,585,569,568,447,398,397,367,639,522,520,596,472,514,638,634,627,598,545,539,473,619,605,604,561,555,546,534,602,562,556,593,412,483,623,600,646,543,560])).
% 1.97/1.99 cnf(1316,plain,
% 1.97/1.99 (P17(f42(f22(x13161),f27(x13162),a49))),
% 1.97/1.99 inference(rename_variables,[],[155])).
% 1.97/1.99 cnf(1317,plain,
% 1.97/1.99 (P17(f42(f24(a54,f3(a62)),f28(f43(x13171,f9(a17,a63),a49)),a49))),
% 1.97/1.99 inference(rename_variables,[],[1109])).
% 1.97/1.99 cnf(1320,plain,
% 1.97/1.99 (P6(x13201,f6(x13201,x13202,a51),a51)),
% 1.97/1.99 inference(rename_variables,[],[859])).
% 1.97/1.99 cnf(1326,plain,
% 1.97/1.99 (P17(f42(f35(a37,x13261),a29,a51))),
% 1.97/1.99 inference(rename_variables,[],[159])).
% 1.97/1.99 cnf(1342,plain,
% 1.97/1.99 (P6(x13421,f6(x13422,x13421,f52(x13423,a26)),f52(x13423,a26))),
% 1.97/1.99 inference(rename_variables,[],[180])).
% 1.97/1.99 cnf(1368,plain,
% 1.97/1.99 (P6(x13681,x13681,f52(x13682,a26))),
% 1.97/1.99 inference(rename_variables,[],[131])).
% 1.97/1.99 cnf(1397,plain,
% 1.97/1.99 (P17(f42(f35(x13971,x13972),f44(x13971,f38(f52(x13973,a26)),x13973,x13974),x13974))),
% 1.97/1.99 inference(rename_variables,[],[253])).
% 1.97/1.99 cnf(1433,plain,
% 1.97/1.99 (P17(f42(x14331,f38(f52(x14332,a26)),x14332))),
% 1.97/1.99 inference(rename_variables,[],[178])).
% 1.97/1.99 cnf(1436,plain,
% 1.97/1.99 (P6(x14361,f6(x14362,x14361,f52(x14363,a26)),f52(x14363,a26))),
% 1.97/1.99 inference(rename_variables,[],[180])).
% 1.97/1.99 cnf(1440,plain,
% 1.97/1.99 (E(f6(f36(f52(x14401,a26)),x14402,f52(x14401,a26)),x14402)),
% 1.97/1.99 inference(rename_variables,[],[153])).
% 1.97/1.99 cnf(1444,plain,
% 1.97/1.99 (P6(x14441,f6(x14442,x14441,f52(x14443,a26)),f52(x14443,a26))),
% 1.97/1.99 inference(rename_variables,[],[180])).
% 1.97/1.99 cnf(1448,plain,
% 1.97/1.99 (P6(x14481,f6(x14481,x14482,a51),a51)),
% 1.97/1.99 inference(rename_variables,[],[859])).
% 1.97/1.99 cnf(1466,plain,
% 1.97/1.99 (P6(x14661,f6(x14662,x14661,f52(x14663,a26)),f52(x14663,a26))),
% 1.97/1.99 inference(rename_variables,[],[180])).
% 1.97/1.99 cnf(1472,plain,
% 1.97/1.99 (P6(x14721,x14721,f52(x14722,a26))),
% 1.97/1.99 inference(rename_variables,[],[131])).
% 1.97/1.99 cnf(1487,plain,
% 1.97/1.99 (P17(f42(f22(x14871),f27(x14872),a49))),
% 1.97/1.99 inference(rename_variables,[],[155])).
% 1.97/1.99 cnf(1495,plain,
% 1.97/1.99 (P6(x14951,f6(x14952,x14951,f52(x14953,a26)),f52(x14953,a26))),
% 1.97/1.99 inference(rename_variables,[],[180])).
% 1.97/1.99 cnf(1508,plain,
% 1.97/1.99 ($false),
% 1.97/1.99 inference(scs_inference,[],[95,685,263,266,289,159,1326,180,1342,1436,1444,1466,1495,178,1433,314,156,299,311,315,212,147,152,153,1440,193,111,131,1368,1472,135,155,1316,1487,327,313,330,253,1397,320,121,323,112,106,246,114,217,107,140,99,312,105,309,141,144,1222,747,802,1150,852,1217,1128,1248,739,745,840,843,726,728,837,1233,1274,1239,1109,1317,1199,1107,743,1195,1095,708,1091,813,855,857,807,1237,1172,859,1320,1448,863,1269,1283,554,597,625,445,444,584,663,642,641,629,628,518,536,570,526,503,399,586,585,569,568,398,396,521,634,627,561,602,562,549,548,547,593,483,668,543,560,435,632,581,523,491,456,425,522,473,2,10,582,502,501,465,458,505,92,78,3,449,469,467,666,588,587,447,367,472,638,598,545,539,619,605,559,534,510,610,537,553,623,600]),
% 1.97/1.99 ['proof']).
% 1.97/1.99 % SZS output end Proof
% 1.97/1.99 % Total time :1.120000s
%------------------------------------------------------------------------------