TSTP Solution File: SWV799-1 by CSE---1.6
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- Process Solution
%------------------------------------------------------------------------------
% File : CSE---1.6
% Problem : SWV799-1 : TPTP v8.1.2. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %s %d
% Computer : n019.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 21:35:16 EDT 2023
% Result : Unsatisfiable 0.85s 0.87s
% Output : CNFRefutation 0.85s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : SWV799-1 : TPTP v8.1.2. Released v4.1.0.
% 0.00/0.13 % Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %s %d
% 0.13/0.34 % Computer : n019.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Tue Aug 29 05:09:27 EDT 2023
% 0.13/0.35 % CPUTime :
% 0.19/0.55 start to proof:theBenchmark
% 0.67/0.83 %-------------------------------------------
% 0.67/0.83 % File :CSE---1.6
% 0.67/0.83 % Problem :theBenchmark
% 0.67/0.83 % Transform :cnf
% 0.67/0.83 % Format :tptp:raw
% 0.67/0.83 % Command :java -jar mcs_scs.jar %d %s
% 0.67/0.83
% 0.67/0.83 % Result :Theorem 0.030000s
% 0.67/0.83 % Output :CNFRefutation 0.030000s
% 0.67/0.83 %-------------------------------------------
% 0.67/0.84 %------------------------------------------------------------------------------
% 0.67/0.84 % File : SWV799-1 : TPTP v8.1.2. Released v4.1.0.
% 0.67/0.84 % Domain : Software Verification
% 0.67/0.84 % Problem : Needham-Schroeder shared-key protocol 474_1
% 0.67/0.84 % Version : Especial.
% 0.67/0.84 % English :
% 0.67/0.84
% 0.67/0.84 % Refs : [BAN89] Burrows et al. (1989), A Logic of Authentication
% 0.67/0.84 % : [Nip10] Nipkow (2010), Email to Geoff Sutcliffe
% 0.67/0.84 % : [BN10] Boehme & Nipkow (2010), Sledgehammer: Judgement Day
% 0.67/0.84 % Source : [Nip10]
% 0.67/0.84 % Names : NS_Shared-474_1 [Nip10]
% 0.67/0.84
% 0.67/0.84 % Status : Unsatisfiable
% 0.67/0.84 % Rating : 0.05 v7.4.0, 0.06 v7.3.0, 0.00 v7.0.0, 0.13 v6.4.0, 0.07 v6.3.0, 0.00 v6.2.0, 0.10 v6.1.0, 0.07 v6.0.0, 0.10 v5.5.0, 0.25 v5.3.0, 0.22 v5.2.0, 0.19 v5.1.0, 0.24 v5.0.0, 0.21 v4.1.0
% 0.67/0.84 % Syntax : Number of clauses : 632 ( 262 unt; 73 nHn; 366 RR)
% 0.67/0.84 % Number of literals : 1243 ( 343 equ; 605 neg)
% 0.67/0.84 % Maximal clause size : 7 ( 1 avg)
% 0.67/0.84 % Maximal term depth : 10 ( 2 avg)
% 0.67/0.84 % Number of predicates : 19 ( 18 usr; 0 prp; 1-4 aty)
% 0.67/0.84 % Number of functors : 63 ( 63 usr; 21 con; 0-4 aty)
% 0.67/0.84 % Number of variables : 1898 ( 515 sgn)
% 0.67/0.84 % SPC : CNF_UNS_RFO_SEQ_NHN
% 0.67/0.84
% 0.67/0.84 % Comments :
% 0.67/0.84 %------------------------------------------------------------------------------
% 0.67/0.84 cnf(cls_Fake__parts__sing_0,axiom,
% 0.67/0.84 ( 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))
% 0.67/0.84 | ~ c_in(V_X,c_Message_Osynth(c_Message_Oanalz(V_H)),tc_Message_Omsg) ) ).
% 0.67/0.84
% 0.67/0.84 cnf(cls_used__Notes_0,axiom,
% 0.67/0.84 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)) ).
% 0.67/0.84
% 0.67/0.84 cnf(cls_used__Says_0,axiom,
% 0.67/0.84 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)) ).
% 0.67/0.84
% 0.67/0.84 cnf(cls_Issues__def_1,axiom,
% 0.67/0.84 ( c_in(V_X,c_Message_Oparts(c_Set_Oinsert(v_sko__NS__Shared__Mirabelle__XIssues__def__1(V_A,V_B,V_X,V_evs),c_Orderings_Obot__class_Obot(tc_fun(tc_Message_Omsg,tc_bool)),tc_Message_Omsg)),tc_Message_Omsg)
% 0.67/0.84 | ~ c_NS__Shared__Mirabelle_OIssues(V_A,V_B,V_X,V_evs) ) ).
% 0.67/0.84
% 0.67/0.84 cnf(cls_Fake__parts__sing__imp__Un_0,axiom,
% 0.67/0.84 ( 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)
% 0.67/0.84 | ~ c_in(V_X,c_Message_Osynth(c_Message_Oanalz(V_H)),tc_Message_Omsg)
% 0.67/0.84 | ~ 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) ) ).
% 0.67/0.84
% 0.67/0.84 cnf(cls_parts__insert__spies_0,axiom,
% 0.67/0.84 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)) ).
% 0.67/0.84
% 0.67/0.84 cnf(cls_analz__empty_0,axiom,
% 0.67/0.84 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)) ).
% 0.67/0.84
% 0.67/0.84 cnf(cls_parts__empty_0,axiom,
% 0.67/0.84 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)) ).
% 0.67/0.84
% 0.67/0.84 cnf(cls_bex__empty_0,axiom,
% 0.67/0.84 ( ~ hBOOL(hAPP(V_P,V_x))
% 0.67/0.84 | ~ c_in(V_x,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a) ) ).
% 0.67/0.84
% 0.67/0.84 cnf(cls_emptyE_0,axiom,
% 0.67/0.84 ~ c_in(V_a,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a) ).
% 0.67/0.84
% 0.67/0.84 cnf(cls_empty__iff_0,axiom,
% 0.67/0.84 ~ c_in(V_c,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a) ).
% 0.67/0.84
% 0.67/0.84 cnf(cls_ball__empty_0,axiom,
% 0.67/0.84 ( hBOOL(hAPP(V_P,V_x))
% 0.67/0.84 | ~ c_in(V_x,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a) ) ).
% 0.67/0.84
% 0.67/0.84 cnf(cls_ex__in__conv_0,axiom,
% 0.67/0.84 ~ c_in(V_x,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a) ).
% 0.67/0.84
% 0.67/0.84 cnf(cls_empty__is__image_1,axiom,
% 0.67/0.84 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) ).
% 0.67/0.84
% 0.67/0.84 cnf(cls_insert__is__Un_0,axiom,
% 0.67/0.84 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)) ).
% 0.67/0.84
% 0.67/0.84 cnf(cls_sup__eq__bot__eq2_0,axiom,
% 0.67/0.84 ( ~ class_Lattices_Obounded__lattice(T_a)
% 0.67/0.84 | c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,T_a) != c_Orderings_Obot__class_Obot(T_a)
% 0.67/0.84 | V_B = c_Orderings_Obot__class_Obot(T_a) ) ).
% 0.67/0.84
% 0.67/0.84 cnf(cls_sup__eq__bot__eq1_0,axiom,
% 0.67/0.84 ( ~ class_Lattices_Obounded__lattice(T_a)
% 0.67/0.84 | c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,T_a) != c_Orderings_Obot__class_Obot(T_a)
% 0.67/0.84 | V_A = c_Orderings_Obot__class_Obot(T_a) ) ).
% 0.67/0.84
% 0.67/0.84 cnf(cls_Un__empty_0,axiom,
% 0.67/0.84 ( 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))
% 0.67/0.84 | V_A = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)) ) ).
% 0.67/0.84
% 0.67/0.84 cnf(cls_Un__empty_1,axiom,
% 0.67/0.84 ( 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))
% 0.67/0.84 | V_B = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)) ) ).
% 0.67/0.84
% 0.67/0.84 cnf(cls_comm__monoid__add_Ononempty__iff_2,axiom,
% 0.67/0.84 ( c_Set_Oinsert(V_x,V_xa,T_a) != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))
% 0.67/0.84 | c_in(V_x,V_xa,T_a) ) ).
% 0.67/0.84
% 0.67/0.84 cnf(cls_singleton__inject_0,axiom,
% 0.67/0.84 ( 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)
% 0.67/0.84 | V_a = V_b ) ).
% 0.67/0.84
% 0.67/0.84 cnf(cls_image__empty_0,axiom,
% 0.67/0.84 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)) ).
% 0.67/0.84
% 0.67/0.84 cnf(cls_doubleton__eq__iff_4,axiom,
% 0.67/0.84 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) ).
% 0.67/0.84
% 0.67/0.84 cnf(cls_parts__insert2_0,axiom,
% 0.67/0.84 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)) ).
% 0.67/0.84
% 0.67/0.84 cnf(cls_singletonE_0,axiom,
% 0.67/0.84 ( V_b = V_a
% 0.67/0.84 | ~ c_in(V_b,c_Set_Oinsert(V_a,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),T_a) ) ).
% 0.67/0.84
% 0.67/0.84 cnf(cls_used__parts__subset__parts_0,axiom,
% 0.67/0.84 ( 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))
% 0.67/0.84 | ~ c_in(V_X,c_Event_Oused(V_evs),tc_Message_Omsg) ) ).
% 0.67/0.84
% 0.67/0.84 cnf(cls_empty__is__image_0,axiom,
% 0.67/0.84 ( c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)) != c_Set_Oimage(V_f,V_A,T_b,T_a)
% 0.67/0.84 | V_A = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_bool)) ) ).
% 0.67/0.84
% 0.67/0.84 cnf(cls_empty__subsetI_0,axiom,
% 0.67/0.84 c_lessequals(c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),V_A,tc_fun(T_a,tc_bool)) ).
% 0.67/0.84
% 0.67/0.84 cnf(cls_bot__least_0,axiom,
% 0.67/0.84 ( ~ class_Orderings_Obot(T_a)
% 0.67/0.84 | c_lessequals(c_Orderings_Obot__class_Obot(T_a),V_x,T_a) ) ).
% 0.67/0.84
% 0.67/0.84 cnf(cls_insert__not__empty_0,axiom,
% 0.67/0.84 c_Set_Oinsert(V_a,V_A,T_a) != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)) ).
% 0.67/0.84
% 0.67/0.84 cnf(cls_subset__Compl__self__eq_1,axiom,
% 0.67/0.84 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)) ).
% 0.67/0.84
% 0.67/0.84 cnf(cls_sup__bot__right_0,axiom,
% 0.67/0.84 ( ~ class_Lattices_Obounded__lattice(T_a)
% 0.67/0.84 | c_Lattices_Oupper__semilattice__class_Osup(V_x,c_Orderings_Obot__class_Obot(T_a),T_a) = V_x ) ).
% 0.67/0.84
% 0.67/0.84 cnf(cls_sup__bot__left_0,axiom,
% 0.67/0.84 ( ~ class_Lattices_Obounded__lattice(T_a)
% 0.67/0.84 | c_Lattices_Oupper__semilattice__class_Osup(c_Orderings_Obot__class_Obot(T_a),V_x,T_a) = V_x ) ).
% 0.67/0.84
% 0.67/0.84 cnf(cls_Un__empty__left_0,axiom,
% 0.67/0.84 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 ).
% 0.67/0.84
% 0.67/0.84 cnf(cls_Un__empty__right_0,axiom,
% 0.67/0.84 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 ).
% 0.67/0.84
% 0.67/0.84 cnf(cls_compl__top__eq_0,axiom,
% 0.67/0.84 ( ~ class_Lattices_Oboolean__algebra(T_a)
% 0.67/0.84 | c_HOL_Ouminus__class_Ouminus(c_Orderings_Otop__class_Otop(T_a),T_a) = c_Orderings_Obot__class_Obot(T_a) ) ).
% 0.67/0.84
% 0.67/0.84 cnf(cls_Compl__UNIV__eq_0,axiom,
% 0.67/0.84 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)) ).
% 0.67/0.84
% 0.67/0.84 cnf(cls_bot1E_0,axiom,
% 0.67/0.84 ~ hBOOL(hAPP(c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),V_x)) ).
% 0.67/0.84
% 0.67/0.84 cnf(cls_UNIV__not__empty_0,axiom,
% 0.67/0.84 c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_bool)) != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)) ).
% 0.67/0.84
% 0.67/0.84 cnf(cls_parts__insert__knows__A_0,axiom,
% 0.67/0.84 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)) ).
% 0.67/0.84
% 0.67/0.84 cnf(cls_doubleton__eq__iff_0,axiom,
% 0.67/0.84 ( 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)
% 0.67/0.84 | V_a = V_d
% 0.67/0.84 | V_a = V_c ) ).
% 0.67/0.84
% 0.67/0.84 cnf(cls_doubleton__eq__iff_1,axiom,
% 0.67/0.84 ( 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)
% 0.67/0.84 | V_b = V_c
% 0.67/0.84 | V_a = V_c ) ).
% 0.67/0.84
% 0.67/0.84 cnf(cls_doubleton__eq__iff_2,axiom,
% 0.67/0.84 ( 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)
% 0.67/0.84 | V_a = V_d
% 0.67/0.84 | V_b = V_d ) ).
% 0.67/0.84
% 0.67/0.84 cnf(cls_doubleton__eq__iff_3,axiom,
% 0.67/0.84 ( 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)
% 0.67/0.84 | V_b = V_c
% 0.67/0.84 | V_b = V_d ) ).
% 0.67/0.84
% 0.67/0.84 cnf(cls_subset__empty_0,axiom,
% 0.67/0.84 ( V_A = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))
% 0.67/0.84 | ~ c_lessequals(V_A,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)) ) ).
% 0.67/0.84
% 0.67/0.84 cnf(cls_subset__empty_1,axiom,
% 0.67/0.84 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)) ).
% 0.67/0.84
% 0.67/0.84 cnf(cls_empty__not__insert_0,axiom,
% 0.67/0.84 c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)) != c_Set_Oinsert(V_a,V_A,T_a) ).
% 0.67/0.84
% 0.67/0.84 cnf(cls_compl__bot__eq_0,axiom,
% 0.67/0.84 ( ~ class_Lattices_Oboolean__algebra(T_a)
% 0.67/0.84 | c_HOL_Ouminus__class_Ouminus(c_Orderings_Obot__class_Obot(T_a),T_a) = c_Orderings_Otop__class_Otop(T_a) ) ).
% 0.67/0.84
% 0.67/0.84 cnf(cls_Compl__empty__eq_0,axiom,
% 0.67/0.84 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)) ).
% 0.67/0.84
% 0.67/0.84 cnf(cls_image__is__empty_0,axiom,
% 0.67/0.84 ( c_Set_Oimage(V_f,V_A,T_b,T_a) != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))
% 0.67/0.84 | V_A = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_bool)) ) ).
% 0.67/0.84
% 0.67/0.84 cnf(cls_parts__insert_0,axiom,
% 0.67/0.84 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)) ).
% 0.67/0.84
% 0.67/0.84 cnf(cls_singleton__iff_1,axiom,
% 0.67/0.84 c_in(V_x,c_Set_Oinsert(V_x,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),T_a) ).
% 0.67/0.84
% 0.67/0.84 cnf(cls_subset__Compl__self__eq_0,axiom,
% 0.67/0.84 ( V_A = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))
% 0.67/0.84 | ~ c_lessequals(V_A,c_HOL_Ouminus__class_Ouminus(V_A,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)) ) ).
% 0.67/0.84
% 0.67/0.84 cnf(cls_subset__singletonD_0,axiom,
% 0.67/0.84 ( V_A = c_Set_Oinsert(V_x,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a)
% 0.67/0.84 | V_A = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))
% 0.67/0.84 | ~ 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)) ) ).
% 0.67/0.84
% 0.67/0.84 cnf(cls_Un__empty_2,axiom,
% 0.67/0.84 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)) ).
% 0.67/0.84
% 0.67/0.84 cnf(cls_set__empty_1,axiom,
% 0.67/0.84 c_List_Oset(c_List_Olist_ONil(T_a),T_a) = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)) ).
% 0.67/0.84
% 0.67/0.84 cnf(cls_set__empty2_0,axiom,
% 0.67/0.84 ( c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)) != c_List_Oset(V_xs,T_a)
% 0.67/0.84 | V_xs = c_List_Olist_ONil(T_a) ) ).
% 0.67/0.84
% 0.67/0.84 cnf(cls_set__empty2_1,axiom,
% 0.67/0.84 c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)) = c_List_Oset(c_List_Olist_ONil(T_a),T_a) ).
% 0.67/0.84
% 0.67/0.84 cnf(cls_set__empty_0,axiom,
% 0.67/0.84 ( c_List_Oset(V_xs,T_a) != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))
% 0.67/0.84 | V_xs = c_List_Olist_ONil(T_a) ) ).
% 0.67/0.84
% 0.67/0.84 cnf(cls_parts__emptyE_0,axiom,
% 0.67/0.84 ~ c_in(V_X,c_Message_Oparts(c_Orderings_Obot__class_Obot(tc_fun(tc_Message_Omsg,tc_bool))),tc_Message_Omsg) ).
% 0.67/0.84
% 0.67/0.84 cnf(cls_keymode_Osimps_I2_J_0,axiom,
% 0.67/0.84 c_Public_Okeymode_OEncryption != c_Public_Okeymode_OSignature ).
% 0.67/0.84
% 0.67/0.84 cnf(cls_keymode_Oinduct_0,axiom,
% 0.67/0.84 ( hBOOL(hAPP(V_P,V_keymode))
% 0.67/0.84 | ~ hBOOL(hAPP(V_P,c_Public_Okeymode_OEncryption))
% 0.67/0.84 | ~ hBOOL(hAPP(V_P,c_Public_Okeymode_OSignature)) ) ).
% 0.67/0.84
% 0.67/0.84 cnf(cls_keymode_Osimps_I1_J_0,axiom,
% 0.67/0.84 c_Public_Okeymode_OSignature != c_Public_Okeymode_OEncryption ).
% 0.67/0.84
% 0.67/0.84 cnf(cls_initState__Server_0,axiom,
% 0.67/0.84 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)) ).
% 0.67/0.84
% 0.67/0.84 cnf(cls_Un__insert__left_0,axiom,
% 0.67/0.85 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) ).
% 0.67/0.85
% 0.67/0.85 cnf(cls_Un__insert__right_0,axiom,
% 0.67/0.85 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) ).
% 0.67/0.85
% 0.67/0.85 cnf(cls_neg__le__iff__le_0,axiom,
% 0.67/0.85 ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a)
% 0.67/0.85 | c_lessequals(V_a,V_b,T_a)
% 0.67/0.85 | ~ c_lessequals(c_HOL_Ouminus__class_Ouminus(V_b,T_a),c_HOL_Ouminus__class_Ouminus(V_a,T_a),T_a) ) ).
% 0.67/0.85
% 0.67/0.85 cnf(cls_le__imp__neg__le_0,axiom,
% 0.67/0.85 ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a)
% 0.67/0.85 | c_lessequals(c_HOL_Ouminus__class_Ouminus(V_b,T_a),c_HOL_Ouminus__class_Ouminus(V_a,T_a),T_a)
% 0.67/0.85 | ~ c_lessequals(V_a,V_b,T_a) ) ).
% 0.67/0.85
% 0.67/0.85 cnf(cls_Compl__anti__mono_0,axiom,
% 0.67/0.85 ( 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))
% 0.67/0.85 | ~ c_lessequals(V_A,V_B,tc_fun(T_a,tc_bool)) ) ).
% 0.67/0.85
% 0.67/0.85 cnf(cls_Compl__subset__Compl__iff_0,axiom,
% 0.67/0.85 ( c_lessequals(V_B,V_A,tc_fun(T_a,tc_bool))
% 0.67/0.85 | ~ 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)) ) ).
% 0.67/0.85
% 0.67/0.85 cnf(cls_Compl__subset__Compl__iff_1,axiom,
% 0.67/0.85 ( 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))
% 0.67/0.85 | ~ c_lessequals(V_B,V_A,tc_fun(T_a,tc_bool)) ) ).
% 0.67/0.85
% 0.67/0.85 cnf(cls_synth__mono_0,axiom,
% 0.67/0.85 ( c_lessequals(c_Message_Osynth(V_G),c_Message_Osynth(V_H),tc_fun(tc_Message_Omsg,tc_bool))
% 0.67/0.85 | ~ c_lessequals(V_G,V_H,tc_fun(tc_Message_Omsg,tc_bool)) ) ).
% 0.67/0.85
% 0.67/0.85 cnf(cls_split__list__last__prop__iff_6,axiom,
% 0.67/0.85 ( hBOOL(hAPP(V_P,c_List_Osko__List__Xsplit__list__last__prop__iff__1__5(V_P,c_List_Oappend(V_x,c_List_Olist_OCons(V_xa,V_xb,T_a),T_a),T_a)))
% 0.67/0.85 | hBOOL(hAPP(V_P,c_List_Osko__List__Xsplit__list__last__prop__iff__1__5(V_P,V_xb,T_a)))
% 0.67/0.85 | ~ hBOOL(hAPP(V_P,V_xa)) ) ).
% 0.67/0.85
% 0.67/0.85 cnf(cls_sup__top__right_0,axiom,
% 0.67/0.85 ( ~ class_Lattices_Obounded__lattice(T_a)
% 0.67/0.85 | c_Lattices_Oupper__semilattice__class_Osup(V_x,c_Orderings_Otop__class_Otop(T_a),T_a) = c_Orderings_Otop__class_Otop(T_a) ) ).
% 0.67/0.85
% 0.67/0.85 cnf(cls_sup__top__left_0,axiom,
% 0.67/0.85 ( ~ class_Lattices_Obounded__lattice(T_a)
% 0.67/0.85 | c_Lattices_Oupper__semilattice__class_Osup(c_Orderings_Otop__class_Otop(T_a),V_x,T_a) = c_Orderings_Otop__class_Otop(T_a) ) ).
% 0.67/0.85
% 0.67/0.85 cnf(cls_Un__UNIV__left_0,axiom,
% 0.67/0.85 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)) ).
% 0.67/0.85
% 0.67/0.85 cnf(cls_Un__UNIV__right_0,axiom,
% 0.67/0.85 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)) ).
% 0.67/0.85
% 0.67/0.85 cnf(cls_parts__Un__subset2_0,axiom,
% 0.67/0.85 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)) ).
% 0.67/0.85
% 0.67/0.85 cnf(cls_subset__insertI_0,axiom,
% 0.67/0.85 c_lessequals(V_B,c_Set_Oinsert(V_a,V_B,T_a),tc_fun(T_a,tc_bool)) ).
% 0.67/0.85
% 0.67/0.85 cnf(cls_synth__insert_0,axiom,
% 0.67/0.85 c_lessequals(c_Set_Oinsert(V_X,c_Message_Osynth(V_H),tc_Message_Omsg),c_Message_Osynth(c_Set_Oinsert(V_X,V_H,tc_Message_Omsg)),tc_fun(tc_Message_Omsg,tc_bool)) ).
% 0.67/0.85
% 0.67/0.85 cnf(cls_pushes_I11_J_0,axiom,
% 0.67/0.85 c_Set_Oinsert(c_Message_Omsg_OCrypt(V_X,V_K),c_Set_Oinsert(c_Message_Omsg_OHash(V_X_H),V_A,tc_Message_Omsg),tc_Message_Omsg) = c_Set_Oinsert(c_Message_Omsg_OHash(V_X_H),c_Set_Oinsert(c_Message_Omsg_OCrypt(V_X,V_K),V_A,tc_Message_Omsg),tc_Message_Omsg) ).
% 0.67/0.85
% 0.67/0.85 cnf(cls_split__list__first__prop__iff_6,axiom,
% 0.67/0.85 ( hBOOL(hAPP(V_P,c_List_Osko__List__Xsplit__list__first__prop__iff__1__5(V_P,c_List_Oappend(V_x,c_List_Olist_OCons(V_xa,V_xb,T_a),T_a),T_a)))
% 0.67/0.85 | hBOOL(hAPP(V_P,c_List_Osko__List__Xsplit__list__first__prop__iff__1__5(V_P,V_x,T_a)))
% 0.67/0.85 | ~ hBOOL(hAPP(V_P,V_xa)) ) ).
% 0.67/0.85
% 0.67/0.85 cnf(cls_keysFor__insert__Key_0,axiom,
% 0.67/0.85 c_Message_OkeysFor(c_Set_Oinsert(hAPP(c_Message_Omsg_OKey,V_K),V_H,tc_Message_Omsg)) = c_Message_OkeysFor(V_H) ).
% 0.67/0.85
% 0.67/0.85 cnf(cls_sup1E_0,axiom,
% 0.67/0.85 ( hBOOL(hAPP(V_B,V_x))
% 0.67/0.85 | hBOOL(hAPP(V_A,V_x))
% 0.67/0.85 | ~ hBOOL(hAPP(c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_a,tc_bool)),V_x)) ) ).
% 0.67/0.85
% 0.67/0.85 cnf(cls_sup1CI_0,axiom,
% 0.67/0.85 ( hBOOL(hAPP(c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_a,tc_bool)),V_x))
% 0.67/0.85 | ~ hBOOL(hAPP(V_B,V_x)) ) ).
% 0.67/0.85
% 0.67/0.85 cnf(cls_sup1CI_1,axiom,
% 0.67/0.85 ( hBOOL(hAPP(c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_a,tc_bool)),V_x))
% 0.67/0.85 | ~ hBOOL(hAPP(V_A,V_x)) ) ).
% 0.67/0.85
% 0.67/0.85 cnf(cls_synth__Un_0,axiom,
% 0.67/0.85 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)) ).
% 0.67/0.85
% 0.67/0.85 cnf(cls_parts__insert__Hash_0,axiom,
% 0.67/0.85 c_Message_Oparts(c_Set_Oinsert(c_Message_Omsg_OHash(V_X),V_H,tc_Message_Omsg)) = c_Set_Oinsert(c_Message_Omsg_OHash(V_X),c_Message_Oparts(V_H),tc_Message_Omsg) ).
% 0.67/0.85
% 0.67/0.85 cnf(cls_compl__eq__compl__iff_0,axiom,
% 0.67/0.85 ( ~ class_Lattices_Oboolean__algebra(T_a)
% 0.67/0.85 | c_HOL_Ouminus__class_Ouminus(V_x,T_a) != c_HOL_Ouminus__class_Ouminus(V_y,T_a)
% 0.67/0.85 | V_x = V_y ) ).
% 0.67/0.85
% 0.67/0.85 cnf(cls_neg__equal__iff__equal_0,axiom,
% 0.67/0.85 ( ~ class_OrderedGroup_Ogroup__add(T_a)
% 0.67/0.85 | c_HOL_Ouminus__class_Ouminus(V_a,T_a) != c_HOL_Ouminus__class_Ouminus(V_b,T_a)
% 0.67/0.85 | V_a = V_b ) ).
% 0.67/0.85
% 0.67/0.85 cnf(cls_Compl__eq__Compl__iff_0,axiom,
% 0.67/0.85 ( 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))
% 0.67/0.85 | V_A = V_B ) ).
% 0.67/0.85
% 0.67/0.85 cnf(cls_equalityI_0,axiom,
% 0.67/0.85 ( V_A = V_B
% 0.67/0.85 | ~ c_lessequals(V_B,V_A,tc_fun(T_a,tc_bool))
% 0.67/0.85 | ~ c_lessequals(V_A,V_B,tc_fun(T_a,tc_bool)) ) ).
% 0.67/0.85
% 0.67/0.85 cnf(cls_set__eq__subset_2,axiom,
% 0.67/0.85 ( V_A = V_B
% 0.67/0.85 | ~ c_lessequals(V_B,V_A,tc_fun(T_a,tc_bool))
% 0.67/0.85 | ~ c_lessequals(V_A,V_B,tc_fun(T_a,tc_bool)) ) ).
% 0.67/0.85
% 0.67/0.85 cnf(cls_order__eq__iff_2,axiom,
% 0.67/0.85 ( ~ class_Orderings_Oorder(T_a)
% 0.67/0.85 | V_x = V_y
% 0.67/0.85 | ~ c_lessequals(V_y,V_x,T_a)
% 0.67/0.85 | ~ c_lessequals(V_x,V_y,T_a) ) ).
% 0.67/0.85
% 0.67/0.85 cnf(cls_order__antisym_0,axiom,
% 0.67/0.85 ( ~ class_Orderings_Oorder(T_a)
% 0.67/0.85 | V_x = V_y
% 0.67/0.85 | ~ c_lessequals(V_y,V_x,T_a)
% 0.67/0.85 | ~ c_lessequals(V_x,V_y,T_a) ) ).
% 0.67/0.85
% 0.67/0.85 cnf(cls_order__antisym__conv_0,axiom,
% 0.67/0.85 ( ~ class_Orderings_Oorder(T_a)
% 0.67/0.85 | V_x = V_y
% 0.67/0.85 | ~ c_lessequals(V_x,V_y,T_a)
% 0.67/0.85 | ~ c_lessequals(V_y,V_x,T_a) ) ).
% 0.67/0.85
% 0.67/0.85 cnf(cls_sup__absorb1_0,axiom,
% 0.67/0.85 ( ~ class_Lattices_Oupper__semilattice(T_a)
% 0.67/0.85 | c_Lattices_Oupper__semilattice__class_Osup(V_x,V_y,T_a) = V_x
% 0.67/0.85 | ~ c_lessequals(V_y,V_x,T_a) ) ).
% 0.67/0.85
% 0.67/0.85 cnf(cls_le__iff__sup_1,axiom,
% 0.67/0.85 ( ~ class_Lattices_Oupper__semilattice(T_a)
% 0.67/0.85 | c_Lattices_Oupper__semilattice__class_Osup(V_x,V_y,T_a) != V_y
% 0.67/0.85 | c_lessequals(V_x,V_y,T_a) ) ).
% 0.67/0.85
% 0.67/0.85 cnf(cls_le__iff__sup_0,axiom,
% 0.67/0.85 ( ~ class_Lattices_Oupper__semilattice(T_a)
% 0.67/0.85 | c_Lattices_Oupper__semilattice__class_Osup(V_x,V_y,T_a) = V_y
% 0.67/0.85 | ~ c_lessequals(V_x,V_y,T_a) ) ).
% 0.67/0.85
% 0.67/0.85 cnf(cls_Un__absorb1_0,axiom,
% 0.67/0.85 ( c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_a,tc_bool)) = V_B
% 0.67/0.85 | ~ c_lessequals(V_A,V_B,tc_fun(T_a,tc_bool)) ) ).
% 0.67/0.85
% 0.67/0.85 cnf(cls_Un__absorb2_0,axiom,
% 0.67/0.85 ( c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_a,tc_bool)) = V_A
% 0.67/0.85 | ~ c_lessequals(V_B,V_A,tc_fun(T_a,tc_bool)) ) ).
% 0.67/0.85
% 0.67/0.85 cnf(cls_subset__Un__eq_1,axiom,
% 0.67/0.85 ( c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_a,tc_bool)) != V_B
% 0.67/0.85 | c_lessequals(V_A,V_B,tc_fun(T_a,tc_bool)) ) ).
% 0.67/0.85
% 0.67/0.85 cnf(cls_set__append_0,axiom,
% 0.67/0.85 c_List_Oset(c_List_Oappend(V_xs,V_ys,T_a),T_a) = c_Lattices_Oupper__semilattice__class_Osup(c_List_Oset(V_xs,T_a),c_List_Oset(V_ys,T_a),tc_fun(T_a,tc_bool)) ).
% 0.67/0.85
% 0.67/0.85 cnf(cls_parts__insert__subset_0,axiom,
% 0.67/0.85 c_lessequals(c_Set_Oinsert(V_X,c_Message_Oparts(V_H),tc_Message_Omsg),c_Message_Oparts(c_Set_Oinsert(V_X,V_H,tc_Message_Omsg)),tc_fun(tc_Message_Omsg,tc_bool)) ).
% 0.67/0.85
% 0.67/0.85 cnf(cls_pushes_I4_J_0,axiom,
% 0.67/0.85 c_Set_Oinsert(hAPP(c_Message_Omsg_OKey,V_K),c_Set_Oinsert(c_Message_Omsg_OHash(V_X),V_A,tc_Message_Omsg),tc_Message_Omsg) = c_Set_Oinsert(c_Message_Omsg_OHash(V_X),c_Set_Oinsert(hAPP(c_Message_Omsg_OKey,V_K),V_A,tc_Message_Omsg),tc_Message_Omsg) ).
% 0.67/0.85
% 0.67/0.85 cnf(cls_msg_Osimps_I5_J_0,axiom,
% 0.67/0.85 ( c_Message_Omsg_OHash(V_msg) != c_Message_Omsg_OHash(V_msg_H)
% 0.67/0.85 | V_msg = V_msg_H ) ).
% 0.67/0.85
% 0.67/0.85 cnf(cls_analz__image__freshK__simps_I57_J_0,axiom,
% 0.67/0.85 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) ).
% 0.67/0.85
% 0.67/0.85 cnf(cls_Un__mono_0,axiom,
% 0.67/0.85 ( 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))
% 0.67/0.85 | ~ c_lessequals(V_B,V_D,tc_fun(T_a,tc_bool))
% 0.67/0.85 | ~ c_lessequals(V_A,V_C,tc_fun(T_a,tc_bool)) ) ).
% 0.67/0.85
% 0.67/0.85 cnf(cls_subset__UNIV_0,axiom,
% 0.67/0.85 c_lessequals(V_A,c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)) ).
% 0.67/0.85
% 0.67/0.85 cnf(cls_top__greatest_0,axiom,
% 0.67/0.85 ( ~ class_Orderings_Otop(T_a)
% 0.67/0.85 | c_lessequals(V_x,c_Orderings_Otop__class_Otop(T_a),T_a) ) ).
% 0.67/0.85
% 0.67/0.85 cnf(cls_insert__subset_2,axiom,
% 0.67/0.85 ( c_lessequals(c_Set_Oinsert(V_x,V_A,T_a),V_B,tc_fun(T_a,tc_bool))
% 0.67/0.85 | ~ c_lessequals(V_A,V_B,tc_fun(T_a,tc_bool))
% 0.67/0.85 | ~ c_in(V_x,V_B,T_a) ) ).
% 0.67/0.85
% 0.67/0.85 cnf(cls_synth__increasing_0,axiom,
% 0.67/0.85 c_lessequals(V_H,c_Message_Osynth(V_H),tc_fun(tc_Message_Omsg,tc_bool)) ).
% 0.67/0.85
% 0.67/0.85 cnf(cls_le__sup__iff_1,axiom,
% 0.67/0.85 ( ~ class_Lattices_Oupper__semilattice(T_a)
% 0.67/0.85 | c_lessequals(V_y,V_z,T_a)
% 0.67/0.85 | ~ c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(V_x,V_y,T_a),V_z,T_a) ) ).
% 0.67/0.85
% 0.67/0.85 cnf(cls_le__sup__iff_0,axiom,
% 0.67/0.85 ( ~ class_Lattices_Oupper__semilattice(T_a)
% 0.67/0.85 | c_lessequals(V_x,V_z,T_a)
% 0.67/0.85 | ~ c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(V_x,V_y,T_a),V_z,T_a) ) ).
% 0.67/0.85
% 0.67/0.85 cnf(cls_le__supI2_0,axiom,
% 0.67/0.85 ( ~ class_Lattices_Oupper__semilattice(T_a)
% 0.67/0.85 | c_lessequals(V_x,c_Lattices_Oupper__semilattice__class_Osup(V_a,V_b,T_a),T_a)
% 0.67/0.85 | ~ c_lessequals(V_x,V_b,T_a) ) ).
% 0.67/0.85
% 0.67/0.85 cnf(cls_le__supI1_0,axiom,
% 0.67/0.85 ( ~ class_Lattices_Oupper__semilattice(T_a)
% 0.67/0.85 | c_lessequals(V_x,c_Lattices_Oupper__semilattice__class_Osup(V_a,V_b,T_a),T_a)
% 0.67/0.85 | ~ c_lessequals(V_x,V_a,T_a) ) ).
% 0.67/0.85
% 0.67/0.85 cnf(cls_le__supE_1,axiom,
% 0.67/0.85 ( ~ class_Lattices_Oupper__semilattice(T_a)
% 0.67/0.85 | c_lessequals(V_b,V_x,T_a)
% 0.67/0.85 | ~ c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(V_a,V_b,T_a),V_x,T_a) ) ).
% 0.67/0.85
% 0.67/0.85 cnf(cls_le__supE_0,axiom,
% 0.67/0.85 ( ~ class_Lattices_Oupper__semilattice(T_a)
% 0.67/0.85 | c_lessequals(V_a,V_x,T_a)
% 0.67/0.85 | ~ c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(V_a,V_b,T_a),V_x,T_a) ) ).
% 0.67/0.85
% 0.67/0.85 cnf(cls_Un__subset__iff_0,axiom,
% 0.67/0.85 ( c_lessequals(V_A,V_C,tc_fun(T_a,tc_bool))
% 0.67/0.85 | ~ 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)) ) ).
% 0.67/0.85
% 0.67/0.85 cnf(cls_Un__subset__iff_1,axiom,
% 0.67/0.85 ( c_lessequals(V_B,V_C,tc_fun(T_a,tc_bool))
% 0.67/0.85 | ~ 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)) ) ).
% 0.67/0.85
% 0.67/0.85 cnf(cls_xt1_I6_J_0,axiom,
% 0.67/0.85 ( ~ class_Orderings_Oorder(T_a)
% 0.67/0.85 | c_lessequals(V_z,V_x,T_a)
% 0.67/0.85 | ~ c_lessequals(V_z,V_y,T_a)
% 0.67/0.85 | ~ c_lessequals(V_y,V_x,T_a) ) ).
% 0.67/0.85
% 0.67/0.85 cnf(cls_order__trans_0,axiom,
% 0.67/0.85 ( ~ class_Orderings_Opreorder(T_a)
% 0.67/0.85 | c_lessequals(V_x,V_z,T_a)
% 0.67/0.85 | ~ c_lessequals(V_y,V_z,T_a)
% 0.67/0.85 | ~ c_lessequals(V_x,V_y,T_a) ) ).
% 0.67/0.85
% 0.67/0.85 cnf(cls_equalityE_0,axiom,
% 0.67/0.85 c_lessequals(V_x,V_x,tc_fun(T_a,tc_bool)) ).
% 0.67/0.85
% 0.67/0.85 cnf(cls_subset__refl_0,axiom,
% 0.67/0.85 c_lessequals(V_A,V_A,tc_fun(T_a,tc_bool)) ).
% 0.67/0.85
% 0.67/0.85 cnf(cls_subset__trans_0,axiom,
% 0.67/0.85 ( c_lessequals(V_A,V_C,tc_fun(T_a,tc_bool))
% 0.67/0.85 | ~ c_lessequals(V_B,V_C,tc_fun(T_a,tc_bool))
% 0.67/0.85 | ~ c_lessequals(V_A,V_B,tc_fun(T_a,tc_bool)) ) ).
% 0.67/0.85
% 0.67/0.85 cnf(cls_predicate1D_0,axiom,
% 0.67/0.85 ( hBOOL(hAPP(V_Q,V_x))
% 0.67/0.85 | ~ hBOOL(hAPP(V_P,V_x))
% 0.67/0.85 | ~ c_lessequals(V_P,V_Q,tc_fun(T_a,tc_bool)) ) ).
% 0.67/0.85
% 0.67/0.85 cnf(cls_order__eq__iff_0,axiom,
% 0.67/0.85 ( ~ class_Orderings_Oorder(T_a)
% 0.67/0.85 | c_lessequals(V_x,V_x,T_a) ) ).
% 0.67/0.85
% 0.67/0.85 cnf(cls_order__eq__refl_0,axiom,
% 0.67/0.85 ( ~ class_Orderings_Opreorder(T_a)
% 0.67/0.85 | c_lessequals(V_x,V_x,T_a) ) ).
% 0.67/0.85
% 0.67/0.85 cnf(cls_rev__predicate1D_0,axiom,
% 0.67/0.85 ( hBOOL(hAPP(V_Q,V_x))
% 0.67/0.85 | ~ c_lessequals(V_P,V_Q,tc_fun(T_a,tc_bool))
% 0.67/0.85 | ~ hBOOL(hAPP(V_P,V_x)) ) ).
% 0.67/0.85
% 0.67/0.85 cnf(cls_keysFor__insert__Hash_0,axiom,
% 0.67/0.85 c_Message_OkeysFor(c_Set_Oinsert(c_Message_Omsg_OHash(V_X),V_H,tc_Message_Omsg)) = c_Message_OkeysFor(V_H) ).
% 0.67/0.85
% 0.67/0.85 cnf(cls_parts__insert__subset__Un_0,axiom,
% 0.67/0.85 ( 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))
% 0.67/0.85 | ~ c_in(V_X,V_G,tc_Message_Omsg) ) ).
% 0.67/0.85
% 0.67/0.85 cnf(cls_image__mono_0,axiom,
% 0.67/0.85 ( 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))
% 0.67/0.85 | ~ c_lessequals(V_A,V_B,tc_fun(T_a,tc_bool)) ) ).
% 0.67/0.85
% 0.67/0.85 cnf(cls_subset__image__iff_2,axiom,
% 0.67/0.85 ( ~ c_lessequals(V_x,V_A,tc_fun(T_b,tc_bool))
% 0.67/0.85 | 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)) ) ).
% 0.67/0.85
% 0.67/0.85 cnf(cls_insert__mono_0,axiom,
% 0.67/0.85 ( 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))
% 0.67/0.85 | ~ c_lessequals(V_C,V_D,tc_fun(T_a,tc_bool)) ) ).
% 0.67/0.85
% 0.67/0.85 cnf(cls_image__Un_0,axiom,
% 0.67/0.85 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)) ).
% 0.67/0.85
% 0.67/0.85 cnf(cls_analz__insert_0,axiom,
% 0.67/0.85 c_lessequals(c_Set_Oinsert(V_X,c_Message_Oanalz(V_H),tc_Message_Omsg),c_Message_Oanalz(c_Set_Oinsert(V_X,V_H,tc_Message_Omsg)),tc_fun(tc_Message_Omsg,tc_bool)) ).
% 0.67/0.85
% 0.67/0.85 cnf(cls_analz__subset__cong_0,axiom,
% 0.67/0.85 ( 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))
% 0.67/0.85 | ~ c_lessequals(c_Message_Oanalz(V_H),c_Message_Oanalz(V_H_H),tc_fun(tc_Message_Omsg,tc_bool))
% 0.67/0.85 | ~ c_lessequals(c_Message_Oanalz(V_G),c_Message_Oanalz(V_G_H),tc_fun(tc_Message_Omsg,tc_bool)) ) ).
% 0.67/0.85
% 0.67/0.85 cnf(cls_linorder__linear_0,axiom,
% 0.67/0.85 ( ~ class_Orderings_Olinorder(T_a)
% 0.67/0.85 | c_lessequals(V_y,V_x,T_a)
% 0.67/0.85 | c_lessequals(V_x,V_y,T_a) ) ).
% 0.67/0.85
% 0.67/0.85 cnf(cls_image__subset__iff_0,axiom,
% 0.67/0.85 ( c_in(hAPP(V_f,V_x),V_B,T_a)
% 0.67/0.85 | ~ c_in(V_x,V_A,T_b)
% 0.67/0.85 | ~ c_lessequals(c_Set_Oimage(V_f,V_A,T_b,T_a),V_B,tc_fun(T_a,tc_bool)) ) ).
% 0.67/0.85
% 0.67/0.85 cnf(cls_set__subset__Cons_0,axiom,
% 0.67/0.85 c_lessequals(c_List_Oset(V_xs,T_a),c_List_Oset(c_List_Olist_OCons(V_x,V_xs,T_a),T_a),tc_fun(T_a,tc_bool)) ).
% 0.67/0.85
% 0.67/0.85 cnf(cls_in__parts__UnE_0,axiom,
% 0.67/0.85 ( c_in(V_c,c_Message_Oparts(V_H),tc_Message_Omsg)
% 0.67/0.85 | c_in(V_c,c_Message_Oparts(V_G),tc_Message_Omsg)
% 0.67/0.85 | ~ c_in(V_c,c_Message_Oparts(c_Lattices_Oupper__semilattice__class_Osup(V_G,V_H,tc_fun(tc_Message_Omsg,tc_bool))),tc_Message_Omsg) ) ).
% 0.67/0.85
% 0.67/0.85 cnf(cls_parts__trans_0,axiom,
% 0.67/0.85 ( c_in(V_X,c_Message_Oparts(V_H),tc_Message_Omsg)
% 0.67/0.85 | ~ c_lessequals(V_G,c_Message_Oparts(V_H),tc_fun(tc_Message_Omsg,tc_bool))
% 0.67/0.85 | ~ c_in(V_X,c_Message_Oparts(V_G),tc_Message_Omsg) ) ).
% 0.67/0.85
% 0.67/0.85 cnf(cls_analz__image__freshK__simps_I61_J_0,axiom,
% 0.67/0.85 ( c_in(V_c,c_Message_Oanalz(c_Lattices_Oupper__semilattice__class_Osup(V_A,V_G,tc_fun(tc_Message_Omsg,tc_bool))),tc_Message_Omsg)
% 0.67/0.85 | ~ c_in(V_c,c_Message_Oanalz(V_G),tc_Message_Omsg) ) ).
% 0.67/0.85
% 0.67/0.85 cnf(cls_analz__trans_0,axiom,
% 0.67/0.85 ( c_in(V_X,c_Message_Oanalz(V_H),tc_Message_Omsg)
% 0.67/0.85 | ~ c_lessequals(V_G,c_Message_Oanalz(V_H),tc_fun(tc_Message_Omsg,tc_bool))
% 0.67/0.85 | ~ c_in(V_X,c_Message_Oanalz(V_G),tc_Message_Omsg) ) ).
% 0.67/0.85
% 0.67/0.85 cnf(cls_analz__subset__parts_0,axiom,
% 0.67/0.85 c_lessequals(c_Message_Oanalz(V_H),c_Message_Oparts(V_H),tc_fun(tc_Message_Omsg,tc_bool)) ).
% 0.67/0.85
% 0.67/0.85 cnf(cls_Hash__synth_0,axiom,
% 0.67/0.85 ( c_in(V_X,c_Message_Osynth(V_H),tc_Message_Omsg)
% 0.67/0.85 | c_in(c_Message_Omsg_OHash(V_X),V_H,tc_Message_Omsg)
% 0.67/0.85 | ~ c_in(c_Message_Omsg_OHash(V_X),c_Message_Osynth(V_H),tc_Message_Omsg) ) ).
% 0.67/0.85
% 0.67/0.85 cnf(cls_synth__trans_0,axiom,
% 0.67/0.85 ( c_in(V_X,c_Message_Osynth(V_H),tc_Message_Omsg)
% 0.67/0.85 | ~ c_lessequals(V_G,c_Message_Osynth(V_H),tc_fun(tc_Message_Omsg,tc_bool))
% 0.67/0.85 | ~ c_in(V_X,c_Message_Osynth(V_G),tc_Message_Omsg) ) ).
% 0.67/0.85
% 0.67/0.85 cnf(cls_synth_OHash_0,axiom,
% 0.67/0.85 ( c_in(c_Message_Omsg_OHash(V_X),c_Message_Osynth(V_H),tc_Message_Omsg)
% 0.67/0.85 | ~ c_in(V_X,c_Message_Osynth(V_H),tc_Message_Omsg) ) ).
% 0.67/0.85
% 0.67/0.85 cnf(cls_parts__synth_0,axiom,
% 0.67/0.85 c_Message_Oparts(c_Message_Osynth(V_H)) = c_Lattices_Oupper__semilattice__class_Osup(c_Message_Oparts(V_H),c_Message_Osynth(V_H),tc_fun(tc_Message_Omsg,tc_bool)) ).
% 0.67/0.85
% 0.67/0.85 cnf(cls_synth__analz__mono_0,axiom,
% 0.67/0.85 ( c_lessequals(c_Message_Osynth(c_Message_Oanalz(V_G)),c_Message_Osynth(c_Message_Oanalz(V_H)),tc_fun(tc_Message_Omsg,tc_bool))
% 0.67/0.85 | ~ c_lessequals(V_G,V_H,tc_fun(tc_Message_Omsg,tc_bool)) ) ).
% 0.67/0.85
% 0.67/0.85 cnf(cls_analz__synth_0,axiom,
% 0.67/0.85 c_Message_Oanalz(c_Message_Osynth(V_H)) = c_Lattices_Oupper__semilattice__class_Osup(c_Message_Oanalz(V_H),c_Message_Osynth(V_H),tc_fun(tc_Message_Omsg,tc_bool)) ).
% 0.67/0.85
% 0.67/0.85 cnf(cls_analz__synth__Un_0,axiom,
% 0.67/0.85 c_Message_Oanalz(c_Lattices_Oupper__semilattice__class_Osup(c_Message_Osynth(V_G),V_H,tc_fun(tc_Message_Omsg,tc_bool))) = c_Lattices_Oupper__semilattice__class_Osup(c_Message_Oanalz(c_Lattices_Oupper__semilattice__class_Osup(V_G,V_H,tc_fun(tc_Message_Omsg,tc_bool))),c_Message_Osynth(V_G),tc_fun(tc_Message_Omsg,tc_bool)) ).
% 0.67/0.85
% 0.67/0.85 cnf(cls_knows__subset__knows__Cons_0,axiom,
% 0.67/0.85 c_lessequals(c_Event_Oknows(V_A,V_evs),c_Event_Oknows(V_A,c_List_Olist_OCons(V_e,V_evs,tc_Event_Oevent)),tc_fun(tc_Message_Omsg,tc_bool)) ).
% 0.67/0.85
% 0.67/0.85 cnf(cls_initState__subset__knows_0,axiom,
% 0.67/0.85 c_lessequals(c_Event_OinitState(V_A),c_Event_Oknows(V_A,V_evs),tc_fun(tc_Message_Omsg,tc_bool)) ).
% 0.67/0.85
% 0.67/0.85 cnf(cls_initState__Spy_0,axiom,
% 0.67/0.85 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)) ).
% 0.67/0.85
% 0.67/0.85 cnf(cls_keysFor__insert__Nonce_0,axiom,
% 0.67/0.85 c_Message_OkeysFor(c_Set_Oinsert(c_Message_Omsg_ONonce(V_N),V_H,tc_Message_Omsg)) = c_Message_OkeysFor(V_H) ).
% 0.67/0.85
% 0.67/0.85 cnf(cls_subset__insertI2_0,axiom,
% 0.67/0.85 ( c_lessequals(V_A,c_Set_Oinsert(V_b,V_B,T_a),tc_fun(T_a,tc_bool))
% 0.67/0.85 | ~ c_lessequals(V_A,V_B,tc_fun(T_a,tc_bool)) ) ).
% 0.67/0.85
% 0.67/0.85 cnf(cls_insert__subset_1,axiom,
% 0.67/0.85 ( c_lessequals(V_A,V_B,tc_fun(T_a,tc_bool))
% 0.67/0.85 | ~ c_lessequals(c_Set_Oinsert(V_x,V_A,T_a),V_B,tc_fun(T_a,tc_bool)) ) ).
% 0.67/0.85
% 0.67/0.85 cnf(cls_Un__absorb_0,axiom,
% 0.67/0.85 c_Lattices_Oupper__semilattice__class_Osup(V_A,V_A,tc_fun(T_a,tc_bool)) = V_A ).
% 0.67/0.85
% 0.67/0.85 cnf(cls_sup__idem_0,axiom,
% 0.67/0.85 ( ~ class_Lattices_Oupper__semilattice(T_a)
% 0.67/0.85 | c_Lattices_Oupper__semilattice__class_Osup(V_x,V_x,T_a) = V_x ) ).
% 0.67/0.85
% 0.67/0.85 cnf(cls_analz__Un_0,axiom,
% 0.67/0.85 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)) ).
% 0.67/0.85
% 0.67/0.85 cnf(cls_parts__Un__subset1_0,axiom,
% 0.67/0.85 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)) ).
% 0.67/0.85
% 0.67/0.85 cnf(cls_synth__subset__iff_1,axiom,
% 0.67/0.85 ( c_lessequals(c_Message_Osynth(V_G),c_Message_Osynth(V_H),tc_fun(tc_Message_Omsg,tc_bool))
% 0.67/0.85 | ~ c_lessequals(V_G,c_Message_Osynth(V_H),tc_fun(tc_Message_Omsg,tc_bool)) ) ).
% 0.67/0.85
% 0.67/0.85 cnf(cls_synth__subset__iff_0,axiom,
% 0.67/0.85 ( c_lessequals(V_G,c_Message_Osynth(V_H),tc_fun(tc_Message_Omsg,tc_bool))
% 0.67/0.85 | ~ c_lessequals(c_Message_Osynth(V_G),c_Message_Osynth(V_H),tc_fun(tc_Message_Omsg,tc_bool)) ) ).
% 0.67/0.85
% 0.67/0.85 cnf(cls_Fake__analz__insert_0,axiom,
% 0.67/0.85 ( c_lessequals(c_Message_Oanalz(c_Set_Oinsert(V_X,V_H,tc_Message_Omsg)),c_Lattices_Oupper__semilattice__class_Osup(c_Message_Osynth(c_Message_Oanalz(V_G)),c_Message_Oanalz(c_Lattices_Oupper__semilattice__class_Osup(V_G,V_H,tc_fun(tc_Message_Omsg,tc_bool))),tc_fun(tc_Message_Omsg,tc_bool)),tc_fun(tc_Message_Omsg,tc_bool))
% 0.67/0.85 | ~ c_in(V_X,c_Message_Osynth(c_Message_Oanalz(V_G)),tc_Message_Omsg) ) ).
% 0.67/0.85
% 0.67/0.85 cnf(cls_Un__left__commute_0,axiom,
% 0.67/0.85 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)) ).
% 0.67/0.85
% 0.67/0.85 cnf(cls_Un__assoc_0,axiom,
% 0.67/0.85 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)) ).
% 0.67/0.85
% 0.67/0.85 cnf(cls_sup__assoc_0,axiom,
% 0.67/0.85 ( ~ class_Lattices_Oupper__semilattice(T_a)
% 0.67/0.85 | 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) ) ).
% 0.67/0.85
% 0.67/0.85 cnf(cls_sup__left__commute_0,axiom,
% 0.67/0.85 ( ~ class_Lattices_Oupper__semilattice(T_a)
% 0.67/0.85 | 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) ) ).
% 0.67/0.85
% 0.67/0.85 cnf(cls_analz__image__freshK__simps_I65_J_0,axiom,
% 0.67/0.85 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)) ).
% 0.67/0.85
% 0.67/0.85 cnf(cls_inf__sup__aci_I7_J_0,axiom,
% 0.67/0.85 ( ~ class_Lattices_Olattice(T_a)
% 0.67/0.85 | 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) ) ).
% 0.67/0.85
% 0.67/0.85 cnf(cls_inf__sup__aci_I6_J_0,axiom,
% 0.67/0.85 ( ~ class_Lattices_Olattice(T_a)
% 0.67/0.85 | 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) ) ).
% 0.67/0.85
% 0.67/0.85 cnf(cls_invKey__image__eq_1,axiom,
% 0.67/0.85 ( c_in(hAPP(c_Message_OinvKey,V_x),c_Set_Oimage(c_Message_OinvKey,V_A,tc_nat,tc_nat),tc_nat)
% 0.67/0.85 | ~ c_in(V_x,V_A,tc_nat) ) ).
% 0.67/0.85
% 0.67/0.85 cnf(cls_invKey__image__eq_0,axiom,
% 0.67/0.85 ( c_in(V_x,V_A,tc_nat)
% 0.67/0.85 | ~ c_in(hAPP(c_Message_OinvKey,V_x),c_Set_Oimage(c_Message_OinvKey,V_A,tc_nat,tc_nat),tc_nat) ) ).
% 0.67/0.85
% 0.67/0.85 cnf(cls_Un__subset__iff_2,axiom,
% 0.67/0.85 ( 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))
% 0.67/0.85 | ~ c_lessequals(V_B,V_C,tc_fun(T_a,tc_bool))
% 0.67/0.85 | ~ c_lessequals(V_A,V_C,tc_fun(T_a,tc_bool)) ) ).
% 0.67/0.85
% 0.67/0.85 cnf(cls_Un__upper2_0,axiom,
% 0.67/0.85 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)) ).
% 0.67/0.85
% 0.67/0.85 cnf(cls_Un__upper1_0,axiom,
% 0.67/0.85 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)) ).
% 0.67/0.85
% 0.67/0.85 cnf(cls_Un__least_0,axiom,
% 0.67/0.85 ( 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))
% 0.67/0.85 | ~ c_lessequals(V_B,V_C,tc_fun(T_a,tc_bool))
% 0.67/0.85 | ~ c_lessequals(V_A,V_C,tc_fun(T_a,tc_bool)) ) ).
% 0.67/0.85
% 0.67/0.85 cnf(cls_le__supI_0,axiom,
% 0.67/0.85 ( ~ class_Lattices_Oupper__semilattice(T_a)
% 0.67/0.85 | c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(V_a,V_b,T_a),V_x,T_a)
% 0.67/0.85 | ~ c_lessequals(V_b,V_x,T_a)
% 0.67/0.85 | ~ c_lessequals(V_a,V_x,T_a) ) ).
% 0.67/0.85
% 0.67/0.85 cnf(cls_sup__ge1_0,axiom,
% 0.67/0.85 ( ~ class_Lattices_Oupper__semilattice(T_a)
% 0.67/0.85 | c_lessequals(V_x,c_Lattices_Oupper__semilattice__class_Osup(V_x,V_y,T_a),T_a) ) ).
% 0.67/0.85
% 0.67/0.85 cnf(cls_sup__ge2_0,axiom,
% 0.67/0.85 ( ~ class_Lattices_Oupper__semilattice(T_a)
% 0.67/0.85 | c_lessequals(V_y,c_Lattices_Oupper__semilattice__class_Osup(V_x,V_y,T_a),T_a) ) ).
% 0.67/0.85
% 0.67/0.85 cnf(cls_sup__least_0,axiom,
% 0.67/0.85 ( ~ class_Lattices_Oupper__semilattice(T_a)
% 0.67/0.85 | c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(V_y,V_z,T_a),V_x,T_a)
% 0.67/0.85 | ~ c_lessequals(V_z,V_x,T_a)
% 0.67/0.85 | ~ c_lessequals(V_y,V_x,T_a) ) ).
% 0.67/0.85
% 0.67/0.85 cnf(cls_le__sup__iff_2,axiom,
% 0.67/0.85 ( ~ class_Lattices_Oupper__semilattice(T_a)
% 0.67/0.85 | c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(V_x,V_y,T_a),V_z,T_a)
% 0.67/0.85 | ~ c_lessequals(V_y,V_z,T_a)
% 0.67/0.85 | ~ c_lessequals(V_x,V_z,T_a) ) ).
% 0.67/0.85
% 0.67/0.85 cnf(cls_inf__sup__ord_I4_J_0,axiom,
% 0.67/0.85 ( ~ class_Lattices_Olattice(T_a)
% 0.67/0.85 | c_lessequals(V_y,c_Lattices_Oupper__semilattice__class_Osup(V_x,V_y,T_a),T_a) ) ).
% 0.67/0.85
% 0.67/0.85 cnf(cls_inf__sup__ord_I3_J_0,axiom,
% 0.67/0.85 ( ~ class_Lattices_Olattice(T_a)
% 0.67/0.85 | c_lessequals(V_x,c_Lattices_Oupper__semilattice__class_Osup(V_x,V_y,T_a),T_a) ) ).
% 0.67/0.85
% 0.67/0.85 cnf(cls_Compl__partition2_0,axiom,
% 0.67/0.85 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)) ).
% 0.67/0.85
% 0.67/0.85 cnf(cls_Compl__partition_0,axiom,
% 0.67/0.85 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)) ).
% 0.67/0.85
% 0.67/0.85 cnf(cls_compl__sup__top_0,axiom,
% 0.67/0.85 ( ~ class_Lattices_Oboolean__algebra(T_a)
% 0.67/0.85 | 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) ) ).
% 0.67/0.85
% 0.67/0.85 cnf(cls_sup__compl__top_0,axiom,
% 0.67/0.85 ( ~ class_Lattices_Oboolean__algebra(T_a)
% 0.67/0.85 | 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) ) ).
% 0.67/0.85
% 0.67/0.85 cnf(cls_keysFor__insert__Agent_0,axiom,
% 0.67/0.85 c_Message_OkeysFor(c_Set_Oinsert(c_Message_Omsg_OAgent(V_A),V_H,tc_Message_Omsg)) = c_Message_OkeysFor(V_H) ).
% 0.67/0.85
% 0.67/0.85 cnf(cls_insert__subset_0,axiom,
% 0.67/0.85 ( c_in(V_x,V_B,T_a)
% 0.67/0.85 | ~ c_lessequals(c_Set_Oinsert(V_x,V_A,T_a),V_B,tc_fun(T_a,tc_bool)) ) ).
% 0.67/0.85
% 0.67/0.85 cnf(cls_subset__insert__iff_2,axiom,
% 0.67/0.85 ( c_lessequals(V_A,c_Set_Oinsert(V_x,V_B,T_a),tc_fun(T_a,tc_bool))
% 0.67/0.85 | ~ c_lessequals(V_A,V_B,tc_fun(T_a,tc_bool))
% 0.67/0.85 | c_in(V_x,V_A,T_a) ) ).
% 0.67/0.85
% 0.67/0.85 cnf(cls_subset__insert__iff_1,axiom,
% 0.67/0.85 ( c_lessequals(V_A,V_B,tc_fun(T_a,tc_bool))
% 0.67/0.85 | c_in(V_x,V_A,T_a)
% 0.67/0.85 | ~ c_lessequals(V_A,c_Set_Oinsert(V_x,V_B,T_a),tc_fun(T_a,tc_bool)) ) ).
% 0.67/0.85
% 0.67/0.85 cnf(cls_subset__insert_1,axiom,
% 0.67/0.85 ( c_lessequals(V_A,c_Set_Oinsert(V_x,V_B,T_a),tc_fun(T_a,tc_bool))
% 0.67/0.85 | ~ c_lessequals(V_A,V_B,tc_fun(T_a,tc_bool))
% 0.67/0.85 | c_in(V_x,V_A,T_a) ) ).
% 0.67/0.85
% 0.67/0.85 cnf(cls_subset__insert_0,axiom,
% 0.67/0.85 ( c_lessequals(V_A,V_B,tc_fun(T_a,tc_bool))
% 0.67/0.85 | ~ c_lessequals(V_A,c_Set_Oinsert(V_x,V_B,T_a),tc_fun(T_a,tc_bool))
% 0.67/0.85 | c_in(V_x,V_A,T_a) ) ).
% 0.67/0.85
% 0.67/0.85 cnf(cls_Un__commute_0,axiom,
% 0.67/0.85 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)) ).
% 0.67/0.85
% 0.67/0.85 cnf(cls_sup__commute_0,axiom,
% 0.67/0.85 ( ~ class_Lattices_Oupper__semilattice(T_a)
% 0.67/0.86 | c_Lattices_Oupper__semilattice__class_Osup(V_x,V_y,T_a) = c_Lattices_Oupper__semilattice__class_Osup(V_y,V_x,T_a) ) ).
% 0.67/0.86
% 0.67/0.86 cnf(cls_inf__sup__aci_I5_J_0,axiom,
% 0.67/0.86 ( ~ class_Lattices_Olattice(T_a)
% 0.67/0.86 | c_Lattices_Oupper__semilattice__class_Osup(V_x,V_y,T_a) = c_Lattices_Oupper__semilattice__class_Osup(V_y,V_x,T_a) ) ).
% 0.67/0.86
% 0.67/0.86 cnf(cls_Un__left__absorb_0,axiom,
% 0.67/0.86 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)) ).
% 0.67/0.86
% 0.67/0.86 cnf(cls_sup__left__idem_0,axiom,
% 0.67/0.86 ( ~ class_Lattices_Oupper__semilattice(T_a)
% 0.67/0.86 | 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) ) ).
% 0.67/0.86
% 0.67/0.86 cnf(cls_inf__sup__aci_I8_J_0,axiom,
% 0.67/0.86 ( ~ class_Lattices_Olattice(T_a)
% 0.67/0.86 | 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) ) ).
% 0.67/0.86
% 0.67/0.86 cnf(cls_analz__insert__Hash_0,axiom,
% 0.67/0.86 c_Message_Oanalz(c_Set_Oinsert(c_Message_Omsg_OHash(V_X),V_H,tc_Message_Omsg)) = c_Set_Oinsert(c_Message_Omsg_OHash(V_X),c_Message_Oanalz(V_H),tc_Message_Omsg) ).
% 0.67/0.86
% 0.67/0.86 cnf(cls_keysFor__mono_0,axiom,
% 0.67/0.86 ( c_lessequals(c_Message_OkeysFor(V_G),c_Message_OkeysFor(V_H),tc_fun(tc_nat,tc_bool))
% 0.67/0.86 | ~ c_lessequals(V_G,V_H,tc_fun(tc_Message_Omsg,tc_bool)) ) ).
% 0.67/0.86
% 0.67/0.86 cnf(cls_keysFor__insert__MPair_0,axiom,
% 0.67/0.86 c_Message_OkeysFor(c_Set_Oinsert(c_Message_Omsg_OMPair(V_X,V_Y),V_H,tc_Message_Omsg)) = c_Message_OkeysFor(V_H) ).
% 0.67/0.86
% 0.67/0.86 cnf(cls_double__complement_0,axiom,
% 0.67/0.86 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 ).
% 0.67/0.86
% 0.67/0.86 cnf(cls_minus__minus_0,axiom,
% 0.67/0.86 ( ~ class_OrderedGroup_Ogroup__add(T_a)
% 0.67/0.86 | c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(V_a,T_a),T_a) = V_a ) ).
% 0.67/0.86
% 0.67/0.86 cnf(cls_double__compl_0,axiom,
% 0.67/0.86 ( ~ class_Lattices_Oboolean__algebra(T_a)
% 0.67/0.86 | c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(V_x,T_a),T_a) = V_x ) ).
% 0.67/0.86
% 0.67/0.86 cnf(cls_equation__minus__iff_0,axiom,
% 0.67/0.86 ( ~ class_OrderedGroup_Ogroup__add(T_a)
% 0.67/0.86 | V_b = c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(V_b,T_a),T_a) ) ).
% 0.67/0.86
% 0.67/0.86 cnf(cls_equation__minus__iff_1,axiom,
% 0.67/0.86 ( ~ class_OrderedGroup_Ogroup__add(T_a)
% 0.67/0.86 | V_a = c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(V_a,T_a),T_a) ) ).
% 0.67/0.86
% 0.67/0.86 cnf(cls_minus__equation__iff_1,axiom,
% 0.67/0.86 ( ~ class_OrderedGroup_Ogroup__add(T_a)
% 0.67/0.86 | c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(V_b,T_a),T_a) = V_b ) ).
% 0.67/0.86
% 0.67/0.86 cnf(cls_le__funD_0,axiom,
% 0.67/0.86 ( ~ class_HOL_Oord(T_b)
% 0.67/0.86 | c_lessequals(hAPP(V_f,V_x),hAPP(V_g,V_x),T_b)
% 0.67/0.86 | ~ c_lessequals(V_f,V_g,tc_fun(T_a,T_b)) ) ).
% 0.67/0.86
% 0.67/0.86 cnf(cls_le__minus__iff_0,axiom,
% 0.67/0.86 ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a)
% 0.67/0.86 | c_lessequals(V_b,c_HOL_Ouminus__class_Ouminus(V_a,T_a),T_a)
% 0.67/0.86 | ~ c_lessequals(V_a,c_HOL_Ouminus__class_Ouminus(V_b,T_a),T_a) ) ).
% 0.67/0.86
% 0.67/0.86 cnf(cls_le__minus__iff_1,axiom,
% 0.67/0.86 ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a)
% 0.67/0.86 | c_lessequals(V_a,c_HOL_Ouminus__class_Ouminus(V_b,T_a),T_a)
% 0.67/0.86 | ~ c_lessequals(V_b,c_HOL_Ouminus__class_Ouminus(V_a,T_a),T_a) ) ).
% 0.67/0.86
% 0.67/0.86 cnf(cls_minus__le__iff_0,axiom,
% 0.67/0.86 ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a)
% 0.67/0.86 | c_lessequals(c_HOL_Ouminus__class_Ouminus(V_b,T_a),V_a,T_a)
% 0.67/0.86 | ~ c_lessequals(c_HOL_Ouminus__class_Ouminus(V_a,T_a),V_b,T_a) ) ).
% 0.67/0.86
% 0.67/0.86 cnf(cls_minus__le__iff_1,axiom,
% 0.67/0.86 ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a)
% 0.67/0.86 | c_lessequals(c_HOL_Ouminus__class_Ouminus(V_a,T_a),V_b,T_a)
% 0.67/0.86 | ~ c_lessequals(c_HOL_Ouminus__class_Ouminus(V_b,T_a),V_a,T_a) ) ).
% 0.67/0.86
% 0.67/0.86 cnf(cls_subset__iff_0,axiom,
% 0.67/0.86 ( c_in(V_t,V_B,T_a)
% 0.67/0.86 | ~ c_in(V_t,V_A,T_a)
% 0.67/0.86 | ~ c_lessequals(V_A,V_B,tc_fun(T_a,tc_bool)) ) ).
% 0.67/0.86
% 0.67/0.86 cnf(cls_set__rev__mp_0,axiom,
% 0.67/0.86 ( c_in(V_x,V_B,T_a)
% 0.67/0.86 | ~ c_lessequals(V_A,V_B,tc_fun(T_a,tc_bool))
% 0.67/0.86 | ~ c_in(V_x,V_A,T_a) ) ).
% 0.67/0.86
% 0.67/0.86 cnf(cls_subsetD_0,axiom,
% 0.67/0.86 ( c_in(V_c,V_B,T_a)
% 0.67/0.86 | ~ c_in(V_c,V_A,T_a)
% 0.67/0.86 | ~ c_lessequals(V_A,V_B,tc_fun(T_a,tc_bool)) ) ).
% 0.67/0.86
% 0.67/0.86 cnf(cls_set__mp_0,axiom,
% 0.67/0.86 ( c_in(V_x,V_B,T_a)
% 0.67/0.86 | ~ c_in(V_x,V_A,T_a)
% 0.67/0.86 | ~ c_lessequals(V_A,V_B,tc_fun(T_a,tc_bool)) ) ).
% 0.67/0.86
% 0.67/0.86 cnf(cls_UnCI_1,axiom,
% 0.67/0.86 ( c_in(V_c,c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_a,tc_bool)),T_a)
% 0.67/0.86 | ~ c_in(V_c,V_A,T_a) ) ).
% 0.67/0.86
% 0.67/0.86 cnf(cls_UnCI_0,axiom,
% 0.67/0.86 ( c_in(V_c,c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_a,tc_bool)),T_a)
% 0.67/0.86 | ~ c_in(V_c,V_B,T_a) ) ).
% 0.67/0.86
% 0.67/0.86 cnf(cls_UnE_0,axiom,
% 0.67/0.86 ( c_in(V_c,V_B,T_a)
% 0.67/0.86 | c_in(V_c,V_A,T_a)
% 0.67/0.86 | ~ c_in(V_c,c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_a,tc_bool)),T_a) ) ).
% 0.67/0.86
% 0.67/0.86 cnf(cls_ComplI_0,axiom,
% 0.67/0.86 ( c_in(V_c,c_HOL_Ouminus__class_Ouminus(V_A,tc_fun(T_a,tc_bool)),T_a)
% 0.67/0.86 | c_in(V_c,V_A,T_a) ) ).
% 0.67/0.86
% 0.67/0.86 cnf(cls_ComplD_0,axiom,
% 0.67/0.86 ( ~ c_in(V_c,V_A,T_a)
% 0.67/0.86 | ~ c_in(V_c,c_HOL_Ouminus__class_Ouminus(V_A,tc_fun(T_a,tc_bool)),T_a) ) ).
% 0.67/0.86
% 0.67/0.86 cnf(cls_msg_Osimps_I45_J_0,axiom,
% 0.67/0.86 c_Message_Omsg_OMPair(V_msg1_H,V_msg2_H) != c_Message_Omsg_OHash(V_msg) ).
% 0.67/0.86
% 0.67/0.86 cnf(cls_msg_Osimps_I44_J_0,axiom,
% 0.67/0.86 c_Message_Omsg_OHash(V_msg) != c_Message_Omsg_OMPair(V_msg1_H,V_msg2_H) ).
% 0.67/0.86
% 0.67/0.86 cnf(cls_parts__Un_0,axiom,
% 0.67/0.86 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)) ).
% 0.67/0.86
% 0.67/0.86 cnf(cls_parts__increasing_0,axiom,
% 0.67/0.86 c_lessequals(V_H,c_Message_Oparts(V_H),tc_fun(tc_Message_Omsg,tc_bool)) ).
% 0.67/0.86
% 0.67/0.86 cnf(cls_parts__mono_0,axiom,
% 0.67/0.86 ( c_lessequals(c_Message_Oparts(V_G),c_Message_Oparts(V_H),tc_fun(tc_Message_Omsg,tc_bool))
% 0.67/0.86 | ~ c_lessequals(V_G,V_H,tc_fun(tc_Message_Omsg,tc_bool)) ) ).
% 0.67/0.86
% 0.67/0.86 cnf(cls_parts__subset__iff_1,axiom,
% 0.67/0.86 ( c_lessequals(c_Message_Oparts(V_G),c_Message_Oparts(V_H),tc_fun(tc_Message_Omsg,tc_bool))
% 0.67/0.86 | ~ c_lessequals(V_G,c_Message_Oparts(V_H),tc_fun(tc_Message_Omsg,tc_bool)) ) ).
% 0.67/0.86
% 0.67/0.86 cnf(cls_parts__subset__iff_0,axiom,
% 0.67/0.86 ( c_lessequals(V_G,c_Message_Oparts(V_H),tc_fun(tc_Message_Omsg,tc_bool))
% 0.67/0.86 | ~ c_lessequals(c_Message_Oparts(V_G),c_Message_Oparts(V_H),tc_fun(tc_Message_Omsg,tc_bool)) ) ).
% 0.67/0.86
% 0.67/0.86 cnf(cls_msg_Osimps_I46_J_0,axiom,
% 0.67/0.86 c_Message_Omsg_OHash(V_msg) != c_Message_Omsg_OCrypt(V_nat_H,V_msg_H) ).
% 0.67/0.86
% 0.67/0.86 cnf(cls_msg_Osimps_I47_J_0,axiom,
% 0.67/0.86 c_Message_Omsg_OCrypt(V_nat_H,V_msg_H) != c_Message_Omsg_OHash(V_msg) ).
% 0.67/0.86
% 0.67/0.86 cnf(cls_msg_Osimps_I39_J_0,axiom,
% 0.67/0.86 c_Message_Omsg_OHash(V_msg_H) != hAPP(c_Message_Omsg_OKey,V_nat) ).
% 0.67/0.86
% 0.67/0.86 cnf(cls_msg_Osimps_I38_J_0,axiom,
% 0.67/0.86 hAPP(c_Message_Omsg_OKey,V_nat) != c_Message_Omsg_OHash(V_msg_H) ).
% 0.67/0.86
% 0.67/0.86 cnf(cls_analz__mono_0,axiom,
% 0.67/0.86 ( c_lessequals(c_Message_Oanalz(V_G),c_Message_Oanalz(V_H),tc_fun(tc_Message_Omsg,tc_bool))
% 0.67/0.86 | ~ c_lessequals(V_G,V_H,tc_fun(tc_Message_Omsg,tc_bool)) ) ).
% 0.67/0.86
% 0.67/0.86 cnf(cls_analz__subset__iff_1,axiom,
% 0.67/0.86 ( c_lessequals(c_Message_Oanalz(V_G),c_Message_Oanalz(V_H),tc_fun(tc_Message_Omsg,tc_bool))
% 0.67/0.86 | ~ c_lessequals(V_G,c_Message_Oanalz(V_H),tc_fun(tc_Message_Omsg,tc_bool)) ) ).
% 0.67/0.86
% 0.67/0.86 cnf(cls_analz__subset__iff_0,axiom,
% 0.67/0.86 ( c_lessequals(V_G,c_Message_Oanalz(V_H),tc_fun(tc_Message_Omsg,tc_bool))
% 0.67/0.86 | ~ c_lessequals(c_Message_Oanalz(V_G),c_Message_Oanalz(V_H),tc_fun(tc_Message_Omsg,tc_bool)) ) ).
% 0.67/0.86
% 0.67/0.86 cnf(cls_analz__increasing_0,axiom,
% 0.67/0.86 c_lessequals(V_H,c_Message_Oanalz(V_H),tc_fun(tc_Message_Omsg,tc_bool)) ).
% 0.67/0.86
% 0.67/0.86 cnf(cls_analz__analz__Un_0,axiom,
% 0.67/0.86 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))) ).
% 0.67/0.86
% 0.67/0.86 cnf(cls_analz__cong_0,axiom,
% 0.67/0.86 ( c_Message_Oanalz(V_H) != c_Message_Oanalz(V_H_H)
% 0.67/0.86 | c_Message_Oanalz(V_G) != c_Message_Oanalz(V_G_H)
% 0.67/0.86 | 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))) ) ).
% 0.67/0.86
% 0.67/0.86 cnf(cls_msg_Osimps_I15_J_0,axiom,
% 0.67/0.86 c_Message_Omsg_OHash(V_msg_H) != c_Message_Omsg_OAgent(V_agent) ).
% 0.67/0.86
% 0.67/0.86 cnf(cls_msg_Osimps_I14_J_0,axiom,
% 0.67/0.86 c_Message_Omsg_OAgent(V_agent) != c_Message_Omsg_OHash(V_msg_H) ).
% 0.67/0.86
% 0.67/0.86 cnf(cls_msg_Osimps_I32_J_0,axiom,
% 0.67/0.86 c_Message_Omsg_ONonce(V_nat) != c_Message_Omsg_OHash(V_msg_H) ).
% 0.67/0.86
% 0.67/0.86 cnf(cls_msg_Osimps_I33_J_0,axiom,
% 0.67/0.86 c_Message_Omsg_OHash(V_msg_H) != c_Message_Omsg_ONonce(V_nat) ).
% 0.67/0.86
% 0.67/0.86 cnf(cls_used__nil__subset_0,axiom,
% 0.67/0.86 c_lessequals(c_Event_Oused(c_List_Olist_ONil(tc_Event_Oevent)),c_Event_Oused(V_evs),tc_fun(tc_Message_Omsg,tc_bool)) ).
% 0.67/0.86
% 0.67/0.86 cnf(cls_Fake__parts__insert_0,axiom,
% 0.67/0.86 ( 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))
% 0.67/0.86 | ~ c_in(V_X,c_Message_Osynth(c_Message_Oanalz(V_H)),tc_Message_Omsg) ) ).
% 0.67/0.86
% 0.67/0.86 cnf(cls_parts__cut_0,axiom,
% 0.67/0.86 ( 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)
% 0.67/0.86 | ~ c_in(V_X,c_Message_Oparts(V_H),tc_Message_Omsg)
% 0.67/0.86 | ~ c_in(V_Y,c_Message_Oparts(c_Set_Oinsert(V_X,V_G,tc_Message_Omsg)),tc_Message_Omsg) ) ).
% 0.67/0.86
% 0.67/0.86 cnf(cls_gen__analz__insert__eq_0,axiom,
% 0.67/0.86 ( c_Message_Oanalz(c_Set_Oinsert(V_X,V_G,tc_Message_Omsg)) = c_Message_Oanalz(V_G)
% 0.67/0.86 | ~ c_lessequals(V_H,V_G,tc_fun(tc_Message_Omsg,tc_bool))
% 0.67/0.86 | ~ c_in(V_X,c_Message_Oanalz(V_H),tc_Message_Omsg) ) ).
% 0.67/0.86
% 0.67/0.86 cnf(cls_analz__insert__Crypt__subset_0,axiom,
% 0.67/0.86 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)) ).
% 0.67/0.86
% 0.67/0.86 cnf(cls_Hash__notin__image__Key_0,axiom,
% 0.67/0.86 ~ c_in(c_Message_Omsg_OHash(V_X),c_Set_Oimage(c_Message_Omsg_OKey,V_A,tc_nat,tc_Message_Omsg),tc_Message_Omsg) ).
% 0.67/0.86
% 0.67/0.86 cnf(cls_knows__subset__knows__Says_0,axiom,
% 0.67/0.86 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)) ).
% 0.67/0.86
% 0.67/0.86 cnf(cls_priEK__noteq__shrK_0,axiom,
% 0.67/0.86 hAPP(c_Message_OinvKey,hAPP(c_Public_OpublicKey(c_Public_Okeymode_OEncryption),V_A)) != hAPP(c_Public_OshrK,V_B) ).
% 0.67/0.86
% 0.67/0.86 cnf(cls_knows__subset__knows__Notes_0,axiom,
% 0.67/0.86 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)) ).
% 0.67/0.86
% 0.67/0.86 cnf(cls_knows__subset__knows__Gets_0,axiom,
% 0.67/0.86 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)) ).
% 0.67/0.86
% 0.67/0.86 cnf(cls_Says__Server__message__form_0,axiom,
% 0.67/0.86 ( ~ c_in(V_K,c_Set_Oimage(c_Public_OshrK,c_Orderings_Otop__class_Otop(tc_fun(tc_Message_Oagent,tc_bool)),tc_Message_Oagent,tc_nat),tc_nat)
% 0.67/0.86 | ~ c_in(V_evs,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))
% 0.67/0.86 | ~ c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,V_A,c_Message_Omsg_OCrypt(V_K_H,c_Message_Omsg_OMPair(V_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) ) ).
% 0.67/0.86
% 0.67/0.86 cnf(cls_spies__Notes__rev_0,axiom,
% 0.67/0.86 ( c_Event_Oknows(c_Message_Oagent_OSpy,c_List_Oappend(V_evs,c_List_Olist_OCons(c_Event_Oevent_ONotes(V_A,V_X),c_List_Olist_ONil(tc_Event_Oevent),tc_Event_Oevent),tc_Event_Oevent)) = c_Set_Oinsert(V_X,c_Event_Oknows(c_Message_Oagent_OSpy,V_evs),tc_Message_Omsg)
% 0.67/0.86 | ~ c_in(V_A,c_Event_Obad,tc_Message_Oagent) ) ).
% 0.67/0.86
% 0.67/0.86 cnf(cls_knows__Spy__Says_0,axiom,
% 0.67/0.86 c_Event_Oknows(c_Message_Oagent_OSpy,c_List_Olist_OCons(c_Event_Oevent_OSays(V_A,V_B,V_X),V_evs,tc_Event_Oevent)) = c_Set_Oinsert(V_X,c_Event_Oknows(c_Message_Oagent_OSpy,V_evs),tc_Message_Omsg) ).
% 0.67/0.86
% 0.67/0.86 cnf(cls_knows__Gets_0,axiom,
% 0.67/0.86 ( 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)
% 0.67/0.86 | V_A = c_Message_Oagent_OSpy ) ).
% 0.67/0.86
% 0.67/0.86 cnf(cls_cert__A__form_0,axiom,
% 0.67/0.86 ( ~ c_in(V_K,c_Set_Oimage(c_Public_OshrK,c_Orderings_Otop__class_Otop(tc_fun(tc_Message_Oagent,tc_bool)),tc_Message_Oagent,tc_nat),tc_nat)
% 0.67/0.86 | ~ c_in(V_evs,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))
% 0.67/0.86 | c_in(V_A,c_Event_Obad,tc_Message_Oagent)
% 0.67/0.86 | ~ c_in(c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,V_A),c_Message_Omsg_OMPair(V_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(V_B),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,V_K),V_X)))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,V_evs)),tc_Message_Omsg) ) ).
% 0.67/0.86
% 0.67/0.86 cnf(cls_new__keys__not__used_0,axiom,
% 0.67/0.86 ( ~ c_in(V_K,c_Message_OkeysFor(c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,V_evs))),tc_nat)
% 0.67/0.86 | ~ c_in(V_evs,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))
% 0.67/0.86 | ~ c_in(V_K,c_Message_OsymKeys,tc_nat)
% 0.67/0.86 | c_in(hAPP(c_Message_Omsg_OKey,V_K),c_Event_Oused(V_evs),tc_Message_Omsg) ) ).
% 0.67/0.86
% 0.67/0.86 cnf(cls_lemma2_0,axiom,
% 0.67/0.86 ( 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))
% 0.67/0.86 | ~ c_in(hAPP(c_Message_Omsg_OKey,hAPP(c_Message_OinvKey,V_K)),c_Message_Oanalz(V_H),tc_Message_Omsg) ) ).
% 0.67/0.86
% 0.67/0.86 cnf(cls_lemma1_0,axiom,
% 0.67/0.86 ( 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))
% 0.67/0.86 | ~ c_in(hAPP(c_Message_Omsg_OKey,hAPP(c_Message_OinvKey,V_K)),c_Message_Oanalz(V_H),tc_Message_Omsg) ) ).
% 0.67/0.86
% 0.67/0.86 cnf(cls_privateKey__image__eq_1,axiom,
% 0.67/0.86 ( c_in(V_A,V_AS,tc_Message_Oagent)
% 0.67/0.86 | ~ 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) ) ).
% 0.67/0.86
% 0.67/0.86 cnf(cls_privateKey__image__eq_2,axiom,
% 0.67/0.86 ( 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)
% 0.67/0.86 | ~ c_in(V_A,V_AS,tc_Message_Oagent) ) ).
% 0.67/0.86
% 0.67/0.86 cnf(cls_shrK__notin__image__privateKey_0,axiom,
% 0.67/0.86 ~ 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) ).
% 0.67/0.86
% 0.67/0.86 cnf(cls_analz__image__freshK__lemma_3,axiom,
% 0.67/0.86 ( 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)
% 0.67/0.86 | ~ c_in(hAPP(c_Message_Omsg_OKey,V_K),c_Message_Oanalz(V_H),tc_Message_Omsg)
% 0.67/0.86 | ~ c_in(V_K,V_nE,tc_nat) ) ).
% 0.67/0.86
% 0.67/0.86 cnf(cls_analz__image__freshK__lemma_4,axiom,
% 0.67/0.86 ( 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)
% 0.67/0.86 | ~ c_in(V_K,V_nE,tc_nat)
% 0.67/0.86 | ~ c_in(hAPP(c_Message_Omsg_OKey,V_K),c_Message_Oanalz(V_H),tc_Message_Omsg) ) ).
% 0.67/0.86
% 0.67/0.86 cnf(cls_analz__image__freshK__lemma_0,axiom,
% 0.67/0.86 ( 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)
% 0.67/0.86 | ~ c_in(V_K,V_nE,tc_nat)
% 0.67/0.86 | 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) ) ).
% 0.67/0.86
% 0.67/0.86 cnf(cls_analz__image__freshK__lemma_2,axiom,
% 0.67/0.86 ( 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)
% 0.67/0.86 | ~ c_in(V_K,V_nE,tc_nat)
% 0.67/0.86 | ~ c_in(V_K,V_nE,tc_nat) ) ).
% 0.67/0.86
% 0.67/0.86 cnf(cls_synth__analz__insert__eq_0,axiom,
% 0.67/0.86 ( c_in(hAPP(c_Message_Omsg_OKey,V_K),c_Message_Oanalz(V_G),tc_Message_Omsg)
% 0.67/0.86 | ~ 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)
% 0.67/0.86 | ~ c_lessequals(V_H,V_G,tc_fun(tc_Message_Omsg,tc_bool))
% 0.67/0.86 | ~ c_in(V_X,c_Message_Osynth(c_Message_Oanalz(V_H)),tc_Message_Omsg) ) ).
% 0.67/0.86
% 0.67/0.86 cnf(cls_synth__analz__insert__eq_1,axiom,
% 0.67/0.86 ( 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)
% 0.67/0.86 | ~ c_in(hAPP(c_Message_Omsg_OKey,V_K),c_Message_Oanalz(V_G),tc_Message_Omsg)
% 0.67/0.86 | ~ c_lessequals(V_H,V_G,tc_fun(tc_Message_Omsg,tc_bool))
% 0.67/0.86 | ~ c_in(V_X,c_Message_Osynth(c_Message_Oanalz(V_H)),tc_Message_Omsg) ) ).
% 0.67/0.86
% 0.67/0.86 cnf(cls_Fake__parts__insert__in__Un_0,axiom,
% 0.67/0.86 ( 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)
% 0.67/0.86 | ~ c_in(V_X,c_Message_Osynth(c_Message_Oanalz(V_H)),tc_Message_Omsg)
% 0.67/0.86 | ~ c_in(V_Z,c_Message_Oparts(c_Set_Oinsert(V_X,V_H,tc_Message_Omsg)),tc_Message_Omsg) ) ).
% 0.67/0.86
% 0.67/0.86 cnf(cls_Issues__def_0,axiom,
% 0.67/0.86 ( c_in(c_Event_Oevent_OSays(V_A,V_B,v_sko__NS__Shared__Mirabelle__XIssues__def__1(V_A,V_B,V_X,V_evs)),c_List_Oset(V_evs,tc_Event_Oevent),tc_Event_Oevent)
% 0.67/0.86 | ~ c_NS__Shared__Mirabelle_OIssues(V_A,V_B,V_X,V_evs) ) ).
% 0.67/0.86
% 0.67/0.86 cnf(cls_symKey__neq__priEK_0,axiom,
% 0.67/0.86 ~ c_in(hAPP(c_Message_OinvKey,hAPP(c_Public_OpublicKey(c_Public_Okeymode_OEncryption),V_A)),c_Message_OsymKeys,tc_nat) ).
% 0.67/0.86
% 0.67/0.86 cnf(cls_privateKey__image__eq_0,axiom,
% 0.67/0.86 ( V_b = V_c
% 0.67/0.86 | ~ 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) ) ).
% 0.67/0.86
% 0.67/0.86 cnf(cls_publicKey__notin__image__privateKey_0,axiom,
% 0.67/0.86 ~ 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) ).
% 0.67/0.86
% 0.67/0.86 cnf(cls_knows__Spy__subset__knows__Spy__Gets_0,axiom,
% 0.67/0.86 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)) ).
% 0.67/0.86
% 0.67/0.86 cnf(cls_knows__Spy__imp__Says__Notes__initState_0,axiom,
% 0.67/0.86 ( c_in(V_X,c_Event_OinitState(c_Message_Oagent_OSpy),tc_Message_Omsg)
% 0.67/0.86 | c_in(c_Event_Oevent_ONotes(c_Event_Osko__Event__Xknows__Spy__imp__Says__Notes__initState__1__1(V_X,V_evs),V_X),c_List_Oset(V_evs,tc_Event_Oevent),tc_Event_Oevent)
% 0.67/0.86 | c_in(c_Event_Oevent_OSays(c_Event_Osko__Event__Xknows__Spy__imp__Says__Notes__initState__1__1(V_X,V_evs),c_Event_Osko__Event__Xknows__Spy__imp__Says__Notes__initState__1__2(V_X,V_evs),V_X),c_List_Oset(V_evs,tc_Event_Oevent),tc_Event_Oevent)
% 0.67/0.86 | ~ c_in(V_X,c_Event_Oknows(c_Message_Oagent_OSpy,V_evs),tc_Message_Omsg) ) ).
% 0.67/0.86
% 0.67/0.86 cnf(cls_knows__Spy__subset__knows__Spy__Notes_0,axiom,
% 0.67/0.86 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)) ).
% 0.67/0.86
% 0.67/0.86 cnf(cls_analz__image__freshK_0,axiom,
% 0.67/0.86 ( c_in(hAPP(c_Message_Omsg_OKey,V_K),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,V_evs)),tc_Message_Omsg)
% 0.67/0.86 | c_in(V_K,V_KK,tc_nat)
% 0.67/0.86 | ~ 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)
% 0.67/0.86 | ~ 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))
% 0.67/0.86 | ~ c_in(V_evs,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent)) ) ).
% 0.67/0.86
% 0.67/0.86 cnf(cls_analz__image__freshK_1,axiom,
% 0.67/0.86 ( 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)
% 0.67/0.86 | ~ c_in(V_K,V_KK,tc_nat)
% 0.67/0.86 | ~ 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))
% 0.67/0.86 | ~ c_in(V_evs,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent)) ) ).
% 0.67/0.86
% 0.67/0.86 cnf(cls_knows__Spy__subset__knows__Spy__Says_0,axiom,
% 0.67/0.86 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)) ).
% 0.67/0.86
% 0.67/0.86 cnf(cls_Crypt__imp__keysFor_0,axiom,
% 0.67/0.86 ( c_in(V_K,c_Message_OkeysFor(V_H),tc_nat)
% 0.67/0.86 | ~ c_in(V_K,c_Message_OsymKeys,tc_nat)
% 0.67/0.86 | ~ c_in(c_Message_Omsg_OCrypt(V_K,V_X),V_H,tc_Message_Omsg) ) ).
% 0.67/0.86
% 0.67/0.86 cnf(cls_parts__knows__Spy__subset__used_0,axiom,
% 0.67/0.86 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)) ).
% 0.67/0.86
% 0.67/0.86 cnf(cls_analz__image__freshK__lemma_5,axiom,
% 0.67/0.86 ( 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)
% 0.67/0.86 | ~ c_in(hAPP(c_Message_Omsg_OKey,V_K),c_Message_Oanalz(V_H),tc_Message_Omsg)
% 0.67/0.86 | ~ c_in(hAPP(c_Message_Omsg_OKey,V_K),c_Message_Oanalz(V_H),tc_Message_Omsg) ) ).
% 0.67/0.86
% 0.67/0.86 cnf(cls_analz__image__freshK__lemma_1,axiom,
% 0.67/0.86 ( 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)
% 0.67/0.86 | ~ c_in(hAPP(c_Message_Omsg_OKey,V_K),c_Message_Oanalz(V_H),tc_Message_Omsg)
% 0.67/0.86 | 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) ) ).
% 0.67/0.86
% 0.67/0.86 cnf(cls_Crypt__imp__invKey__keysFor_0,axiom,
% 0.67/0.86 ( c_in(hAPP(c_Message_OinvKey,V_K),c_Message_OkeysFor(V_H),tc_nat)
% 0.67/0.86 | ~ c_in(c_Message_Omsg_OCrypt(V_K,V_X),V_H,tc_Message_Omsg) ) ).
% 0.67/0.86
% 0.67/0.86 cnf(cls_keysFor__parts__insert_0,axiom,
% 0.67/0.86 ( c_in(hAPP(c_Message_Omsg_OKey,hAPP(c_Message_OinvKey,V_K)),c_Message_Oparts(V_H),tc_Message_Omsg)
% 0.67/0.86 | 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)
% 0.67/0.86 | ~ c_in(V_X,c_Message_Osynth(c_Message_Oanalz(V_H)),tc_Message_Omsg)
% 0.67/0.86 | ~ c_in(V_K,c_Message_OkeysFor(c_Message_Oparts(c_Set_Oinsert(V_X,V_G,tc_Message_Omsg))),tc_nat) ) ).
% 0.67/0.86
% 0.67/0.86 cnf(cls_analz__insert__Key_0,axiom,
% 0.67/0.86 ( 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)
% 0.67/0.86 | c_in(V_K,c_Message_OkeysFor(c_Message_Oanalz(V_H)),tc_nat) ) ).
% 0.67/0.86
% 0.67/0.86 cnf(cls_Hash__synth__analz_0,axiom,
% 0.67/0.86 ( c_in(c_Message_Omsg_OHash(c_Message_Omsg_OMPair(V_X,V_Y)),c_Message_Oanalz(V_H),tc_Message_Omsg)
% 0.67/0.86 | ~ c_in(c_Message_Omsg_OHash(c_Message_Omsg_OMPair(V_X,V_Y)),c_Message_Osynth(c_Message_Oanalz(V_H)),tc_Message_Omsg)
% 0.67/0.86 | c_in(V_X,c_Message_Osynth(c_Message_Oanalz(V_H)),tc_Message_Omsg) ) ).
% 0.67/0.86
% 0.67/0.86 cnf(cls_Hash__synth__analz_1,axiom,
% 0.67/0.86 ( c_in(c_Message_Omsg_OHash(c_Message_Omsg_OMPair(V_X,V_Y)),c_Message_Osynth(c_Message_Oanalz(V_H)),tc_Message_Omsg)
% 0.67/0.86 | ~ c_in(c_Message_Omsg_OHash(c_Message_Omsg_OMPair(V_X,V_Y)),c_Message_Oanalz(V_H),tc_Message_Omsg)
% 0.67/0.86 | c_in(V_X,c_Message_Osynth(c_Message_Oanalz(V_H)),tc_Message_Omsg) ) ).
% 0.67/0.86
% 0.67/0.86 cnf(cls_analz__image__freshK_2,axiom,
% 0.67/0.86 ( 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)
% 0.67/0.86 | ~ c_in(hAPP(c_Message_Omsg_OKey,V_K),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,V_evs)),tc_Message_Omsg)
% 0.67/0.86 | ~ 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))
% 0.67/0.86 | ~ c_in(V_evs,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent)) ) ).
% 0.67/0.86
% 0.67/0.86 cnf(cls_split__list__first__prop__iff_4,axiom,
% 0.67/0.86 ( hBOOL(hAPP(V_P,c_List_Osko__List__Xsplit__list__first__prop__iff__1__5(V_P,c_List_Oappend(V_x,c_List_Olist_OCons(V_xa,V_xb,T_a),T_a),T_a)))
% 0.67/0.86 | c_in(c_List_Osko__List__Xsplit__list__first__prop__iff__1__5(V_P,V_x,T_a),c_List_Oset(V_x,T_a),T_a)
% 0.67/0.86 | ~ hBOOL(hAPP(V_P,V_xa)) ) ).
% 0.67/0.86
% 0.67/0.86 cnf(cls_split__list__last__prop__iff_5,axiom,
% 0.67/0.86 ( c_in(c_List_Osko__List__Xsplit__list__last__prop__iff__1__5(V_P,c_List_Oappend(V_x,c_List_Olist_OCons(V_xa,V_xb,T_a),T_a),T_a),c_List_Oset(c_List_Oappend(V_x,c_List_Olist_OCons(V_xa,V_xb,T_a),T_a),T_a),T_a)
% 0.67/0.86 | hBOOL(hAPP(V_P,c_List_Osko__List__Xsplit__list__last__prop__iff__1__5(V_P,V_xb,T_a)))
% 0.67/0.86 | ~ hBOOL(hAPP(V_P,V_xa)) ) ).
% 0.67/0.86
% 0.67/0.86 cnf(cls_split__list__first__prop__iff_3,axiom,
% 0.67/0.86 ( c_in(c_List_Osko__List__Xsplit__list__first__prop__iff__1__5(V_P,c_List_Oappend(V_x,c_List_Olist_OCons(V_xa,V_xb,T_a),T_a),T_a),c_List_Oset(c_List_Oappend(V_x,c_List_Olist_OCons(V_xa,V_xb,T_a),T_a),T_a),T_a)
% 0.67/0.86 | c_in(c_List_Osko__List__Xsplit__list__first__prop__iff__1__5(V_P,V_x,T_a),c_List_Oset(V_x,T_a),T_a)
% 0.67/0.86 | ~ hBOOL(hAPP(V_P,V_xa)) ) ).
% 0.67/0.86
% 0.67/0.86 cnf(cls_split__list__last__prop__iff_4,axiom,
% 0.67/0.86 ( hBOOL(hAPP(V_P,c_List_Osko__List__Xsplit__list__last__prop__iff__1__5(V_P,c_List_Oappend(V_x,c_List_Olist_OCons(V_xa,V_xb,T_a),T_a),T_a)))
% 0.67/0.86 | c_in(c_List_Osko__List__Xsplit__list__last__prop__iff__1__5(V_P,V_xb,T_a),c_List_Oset(V_xb,T_a),T_a)
% 0.67/0.86 | ~ hBOOL(hAPP(V_P,V_xa)) ) ).
% 0.67/0.86
% 0.67/0.86 cnf(cls_split__list__first__prop__iff_5,axiom,
% 0.67/0.86 ( c_in(c_List_Osko__List__Xsplit__list__first__prop__iff__1__5(V_P,c_List_Oappend(V_x,c_List_Olist_OCons(V_xa,V_xb,T_a),T_a),T_a),c_List_Oset(c_List_Oappend(V_x,c_List_Olist_OCons(V_xa,V_xb,T_a),T_a),T_a),T_a)
% 0.67/0.86 | hBOOL(hAPP(V_P,c_List_Osko__List__Xsplit__list__first__prop__iff__1__5(V_P,V_x,T_a)))
% 0.67/0.86 | ~ hBOOL(hAPP(V_P,V_xa)) ) ).
% 0.67/0.86
% 0.67/0.86 cnf(cls_split__list__last__prop__iff_3,axiom,
% 0.67/0.86 ( c_in(c_List_Osko__List__Xsplit__list__last__prop__iff__1__5(V_P,c_List_Oappend(V_x,c_List_Olist_OCons(V_xa,V_xb,T_a),T_a),T_a),c_List_Oset(c_List_Oappend(V_x,c_List_Olist_OCons(V_xa,V_xb,T_a),T_a),T_a),T_a)
% 0.67/0.86 | c_in(c_List_Osko__List__Xsplit__list__last__prop__iff__1__5(V_P,V_xb,T_a),c_List_Oset(V_xb,T_a),T_a)
% 0.67/0.86 | ~ hBOOL(hAPP(V_P,V_xa)) ) ).
% 0.67/0.86
% 0.67/0.86 cnf(cls_knows__Notes_0,axiom,
% 0.67/0.86 c_Event_Oknows(V_A,c_List_Olist_OCons(c_Event_Oevent_ONotes(V_A,V_X),V_evs,tc_Event_Oevent)) = c_Set_Oinsert(V_X,c_Event_Oknows(V_A,V_evs),tc_Message_Omsg) ).
% 0.67/0.86
% 0.67/0.86 cnf(cls_knows__Says_0,axiom,
% 0.67/0.86 c_Event_Oknows(V_A,c_List_Olist_OCons(c_Event_Oevent_OSays(V_A,V_B,V_X),V_evs,tc_Event_Oevent)) = c_Set_Oinsert(V_X,c_Event_Oknows(V_A,V_evs),tc_Message_Omsg) ).
% 0.67/0.86
% 0.67/0.86 cnf(cls_Key__image__eq_1,axiom,
% 0.67/0.86 ( c_in(hAPP(c_Message_Omsg_OKey,V_x),c_Set_Oimage(c_Message_Omsg_OKey,V_A,tc_nat,tc_Message_Omsg),tc_Message_Omsg)
% 0.67/0.86 | ~ c_in(V_x,V_A,tc_nat) ) ).
% 0.67/0.86
% 0.67/0.86 cnf(cls_Key__image__eq_0,axiom,
% 0.67/0.86 ( c_in(V_x,V_A,tc_nat)
% 0.67/0.86 | ~ c_in(hAPP(c_Message_Omsg_OKey,V_x),c_Set_Oimage(c_Message_Omsg_OKey,V_A,tc_nat,tc_Message_Omsg),tc_Message_Omsg) ) ).
% 0.67/0.86
% 0.67/0.86 cnf(cls_Fake__analz__eq_0,axiom,
% 0.67/0.86 ( c_Message_Osynth(c_Message_Oanalz(c_Set_Oinsert(V_X,V_H,tc_Message_Omsg))) = c_Message_Osynth(c_Message_Oanalz(V_H))
% 0.67/0.86 | ~ c_in(V_X,c_Message_Osynth(c_Message_Oanalz(V_H)),tc_Message_Omsg) ) ).
% 0.67/0.86
% 0.67/0.86 cnf(cls_in__set__conv__decomp__first_2,axiom,
% 0.67/0.86 ( c_in(V_x,c_List_Oset(c_List_Oappend(V_xa,c_List_Olist_OCons(V_x,V_xb,T_a),T_a),T_a),T_a)
% 0.67/0.86 | c_in(V_x,c_List_Oset(V_xa,T_a),T_a) ) ).
% 0.67/0.86
% 0.67/0.86 cnf(cls_in__set__conv__decomp__last_2,axiom,
% 0.67/0.86 ( c_in(V_x,c_List_Oset(c_List_Oappend(V_xa,c_List_Olist_OCons(V_x,V_xb,T_a),T_a),T_a),T_a)
% 0.67/0.86 | c_in(V_x,c_List_Oset(V_xb,T_a),T_a) ) ).
% 0.67/0.86
% 0.67/0.86 cnf(cls_in__set__conv__decomp_1,axiom,
% 0.67/0.86 c_in(V_x,c_List_Oset(c_List_Oappend(V_xa,c_List_Olist_OCons(V_x,V_xb,T_a),T_a),T_a),T_a) ).
% 0.67/0.86
% 0.67/0.86 cnf(cls_spies__Says__rev_0,axiom,
% 0.67/0.86 c_Event_Oknows(c_Message_Oagent_OSpy,c_List_Oappend(V_evs,c_List_Olist_OCons(c_Event_Oevent_OSays(V_A,V_B,V_X),c_List_Olist_ONil(tc_Event_Oevent),tc_Event_Oevent),tc_Event_Oevent)) = c_Set_Oinsert(V_X,c_Event_Oknows(c_Message_Oagent_OSpy,V_evs),tc_Message_Omsg) ).
% 0.67/0.86
% 0.67/0.86 cnf(cls_analz__insert__freshK_2,axiom,
% 0.67/0.86 ( c_in(hAPP(c_Message_Omsg_OKey,V_K),c_Message_Oanalz(c_Set_Oinsert(hAPP(c_Message_Omsg_OKey,V_KAB),c_Event_Oknows(c_Message_Oagent_OSpy,V_evs),tc_Message_Omsg)),tc_Message_Omsg)
% 0.67/0.86 | ~ c_in(hAPP(c_Message_Omsg_OKey,V_K),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,V_evs)),tc_Message_Omsg)
% 0.67/0.86 | c_in(V_KAB,c_Set_Oimage(c_Public_OshrK,c_Orderings_Otop__class_Otop(tc_fun(tc_Message_Oagent,tc_bool)),tc_Message_Oagent,tc_nat),tc_nat)
% 0.67/0.86 | ~ c_in(V_evs,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent)) ) ).
% 0.67/0.86
% 0.67/0.86 cnf(cls_analz__insert__freshK_0,axiom,
% 0.67/0.86 ( c_in(hAPP(c_Message_Omsg_OKey,V_K),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,V_evs)),tc_Message_Omsg)
% 0.67/0.86 | V_K = V_KAB
% 0.67/0.86 | ~ c_in(hAPP(c_Message_Omsg_OKey,V_K),c_Message_Oanalz(c_Set_Oinsert(hAPP(c_Message_Omsg_OKey,V_KAB),c_Event_Oknows(c_Message_Oagent_OSpy,V_evs),tc_Message_Omsg)),tc_Message_Omsg)
% 0.67/0.86 | c_in(V_KAB,c_Set_Oimage(c_Public_OshrK,c_Orderings_Otop__class_Otop(tc_fun(tc_Message_Oagent,tc_bool)),tc_Message_Oagent,tc_nat),tc_nat)
% 0.67/0.86 | ~ c_in(V_evs,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent)) ) ).
% 0.67/0.86
% 0.67/0.86 cnf(cls_analz__insert__freshK_1,axiom,
% 0.67/0.86 ( c_in(V_x,c_Set_Oimage(c_Public_OshrK,c_Orderings_Otop__class_Otop(tc_fun(tc_Message_Oagent,tc_bool)),tc_Message_Oagent,tc_nat),tc_nat)
% 0.67/0.86 | ~ c_in(V_evs,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))
% 0.67/0.86 | c_in(hAPP(c_Message_Omsg_OKey,V_x),c_Message_Oanalz(c_Set_Oinsert(hAPP(c_Message_Omsg_OKey,V_x),c_Event_Oknows(c_Message_Oagent_OSpy,V_evs),tc_Message_Omsg)),tc_Message_Omsg) ) ).
% 0.67/0.86
% 0.67/0.86 cnf(cls_analz__insert__Nonce_0,axiom,
% 0.67/0.86 c_Message_Oanalz(c_Set_Oinsert(c_Message_Omsg_ONonce(V_N),V_H,tc_Message_Omsg)) = c_Set_Oinsert(c_Message_Omsg_ONonce(V_N),c_Message_Oanalz(V_H),tc_Message_Omsg) ).
% 0.67/0.86
% 0.67/0.86 cnf(cls_pushes_I2_J_0,axiom,
% 0.67/0.86 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) ).
% 0.67/0.86
% 0.67/0.86 cnf(cls_pushes_I9_J_0,axiom,
% 0.67/0.86 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) ).
% 0.67/0.86
% 0.67/0.86 cnf(cls_analz__insert__Agent_0,axiom,
% 0.67/0.86 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) ).
% 0.67/0.86
% 0.67/0.86 cnf(cls_pushes_I1_J_0,axiom,
% 0.67/0.86 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) ).
% 0.67/0.86
% 0.67/0.86 cnf(cls_parts__insert__Nonce_0,axiom,
% 0.67/0.86 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) ).
% 0.67/0.86
% 0.67/0.86 cnf(cls_pushes_I8_J_0,axiom,
% 0.67/0.86 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) ).
% 0.67/0.86
% 0.67/0.86 cnf(cls_parts__insert__Agent_0,axiom,
% 0.67/0.86 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) ).
% 0.67/0.86
% 0.67/0.86 cnf(cls_pushes_I6_J_0,axiom,
% 0.67/0.86 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) ).
% 0.67/0.86
% 0.67/0.86 cnf(cls_synth__cut_0,axiom,
% 0.67/0.86 ( c_in(V_Y,c_Message_Osynth(V_H),tc_Message_Omsg)
% 0.67/0.86 | ~ c_in(V_X,c_Message_Osynth(V_H),tc_Message_Omsg)
% 0.67/0.86 | ~ c_in(V_Y,c_Message_Osynth(c_Set_Oinsert(V_X,V_H,tc_Message_Omsg)),tc_Message_Omsg) ) ).
% 0.67/0.86
% 0.67/0.86 cnf(cls_parts__insert__Key_0,axiom,
% 0.67/0.86 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) ).
% 0.67/0.86
% 0.67/0.86 cnf(cls_analz__Decrypt_H_0,axiom,
% 0.67/0.86 ( c_in(V_X,c_Message_Oanalz(V_H),tc_Message_Omsg)
% 0.67/0.86 | ~ c_in(hAPP(c_Message_Omsg_OKey,V_K),c_Message_Oanalz(V_H),tc_Message_Omsg)
% 0.67/0.86 | ~ c_in(V_K,c_Message_OsymKeys,tc_nat)
% 0.67/0.86 | ~ c_in(c_Message_Omsg_OCrypt(V_K,V_X),c_Message_Oanalz(V_H),tc_Message_Omsg) ) ).
% 0.67/0.86
% 0.67/0.86 cnf(cls_analz__insert__MPair_0,axiom,
% 0.67/0.86 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) ).
% 0.67/0.86
% 0.67/0.86 cnf(cls_parts__insert__Crypt_0,axiom,
% 0.67/0.86 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) ).
% 0.67/0.86
% 0.67/0.86 cnf(cls_pushes_I5_J_0,axiom,
% 0.67/0.86 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) ).
% 0.67/0.86
% 0.67/0.86 cnf(cls_analz__cut_0,axiom,
% 0.67/0.86 ( c_in(V_Y,c_Message_Oanalz(V_H),tc_Message_Omsg)
% 0.67/0.86 | ~ c_in(V_X,c_Message_Oanalz(V_H),tc_Message_Omsg)
% 0.67/0.86 | ~ c_in(V_Y,c_Message_Oanalz(c_Set_Oinsert(V_X,V_H,tc_Message_Omsg)),tc_Message_Omsg) ) ).
% 0.67/0.86
% 0.67/0.86 cnf(cls_analz__insert__eq_0,axiom,
% 0.67/0.86 ( c_Message_Oanalz(c_Set_Oinsert(V_X,V_H,tc_Message_Omsg)) = c_Message_Oanalz(V_H)
% 0.67/0.86 | ~ c_in(V_X,c_Message_Oanalz(V_H),tc_Message_Omsg) ) ).
% 0.67/0.86
% 0.67/0.86 cnf(cls_analz__insertI_0,axiom,
% 0.67/0.86 ( c_in(V_c,c_Message_Oanalz(c_Set_Oinsert(V_a,V_G,tc_Message_Omsg)),tc_Message_Omsg)
% 0.67/0.86 | ~ c_in(V_c,c_Message_Oanalz(V_G),tc_Message_Omsg) ) ).
% 0.67/0.86
% 0.67/0.86 cnf(cls_pushes_I12_J_0,axiom,
% 0.67/0.86 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) ).
% 0.67/0.86
% 0.67/0.86 cnf(cls_parts__insert__MPair_0,axiom,
% 0.67/0.86 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) ).
% 0.67/0.86
% 0.67/0.86 cnf(cls_parts__insertI_0,axiom,
% 0.67/0.86 ( c_in(V_c,c_Message_Oparts(c_Set_Oinsert(V_a,V_G,tc_Message_Omsg)),tc_Message_Omsg)
% 0.67/0.86 | ~ c_in(V_c,c_Message_Oparts(V_G),tc_Message_Omsg) ) ).
% 0.67/0.86
% 0.67/0.86 cnf(cls_parts__cut__eq_0,axiom,
% 0.67/0.86 ( c_Message_Oparts(c_Set_Oinsert(V_X,V_H,tc_Message_Omsg)) = c_Message_Oparts(V_H)
% 0.67/0.86 | ~ c_in(V_X,c_Message_Oparts(V_H),tc_Message_Omsg) ) ).
% 0.67/0.86
% 0.67/0.86 cnf(cls_List_Oset_Osimps_I2_J_0,axiom,
% 0.67/0.86 c_List_Oset(c_List_Olist_OCons(V_x,V_xs,T_a),T_a) = c_Set_Oinsert(V_x,c_List_Oset(V_xs,T_a),T_a) ).
% 0.67/0.86
% 0.67/0.86 cnf(cls_append1__eq__conv_1,axiom,
% 0.67/0.86 ( c_List_Oappend(V_xs,c_List_Olist_OCons(V_x,c_List_Olist_ONil(T_a),T_a),T_a) != c_List_Oappend(V_ys,c_List_Olist_OCons(V_y,c_List_Olist_ONil(T_a),T_a),T_a)
% 0.67/0.86 | V_x = V_y ) ).
% 0.67/0.86
% 0.67/0.86 cnf(cls_append1__eq__conv_0,axiom,
% 0.67/0.86 ( c_List_Oappend(V_xs,c_List_Olist_OCons(V_x,c_List_Olist_ONil(T_a),T_a),T_a) != c_List_Oappend(V_ys,c_List_Olist_OCons(V_y,c_List_Olist_ONil(T_a),T_a),T_a)
% 0.67/0.86 | V_xs = V_ys ) ).
% 0.67/0.86
% 0.67/0.86 cnf(cls_append__eq__Cons__conv_4,axiom,
% 0.67/0.86 c_List_Oappend(c_List_Olist_ONil(T_a),c_List_Olist_OCons(V_x,V_xs,T_a),T_a) = c_List_Olist_OCons(V_x,V_xs,T_a) ).
% 0.67/0.86
% 0.67/0.86 cnf(cls_Cons__eq__append__conv_4,axiom,
% 0.67/0.86 c_List_Olist_OCons(V_x,V_xs,T_a) = c_List_Oappend(c_List_Olist_ONil(T_a),c_List_Olist_OCons(V_x,V_xs,T_a),T_a) ).
% 0.67/0.86
% 0.67/0.86 cnf(cls_rangeI_0,axiom,
% 0.67/0.86 c_in(hAPP(V_f,V_x),c_Set_Oimage(V_f,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_bool)),T_b,T_a),T_a) ).
% 0.67/0.86
% 0.67/0.86 cnf(cls_insert__image_0,axiom,
% 0.67/0.86 ( c_Set_Oinsert(hAPP(V_f,V_x),c_Set_Oimage(V_f,V_A,T_a,T_b),T_b) = c_Set_Oimage(V_f,V_A,T_a,T_b)
% 0.67/0.86 | ~ c_in(V_x,V_A,T_a) ) ).
% 0.67/0.86
% 0.67/0.86 cnf(cls_privateKey__notin__image__shrK_0,axiom,
% 0.67/0.86 ~ c_in(hAPP(c_Message_OinvKey,hAPP(c_Public_OpublicKey(V_b),V_x)),c_Set_Oimage(c_Public_OshrK,V_AA,tc_Message_Oagent,tc_nat),tc_nat) ).
% 0.67/0.86
% 0.67/0.86 cnf(cls_sym__shrK_0,axiom,
% 0.67/0.86 c_in(hAPP(c_Public_OshrK,V_X),c_Message_OsymKeys,tc_nat) ).
% 0.67/0.86
% 0.67/0.86 cnf(cls_append__eq__append__conv2_5,axiom,
% 0.67/0.86 c_List_Oappend(V_xs,c_List_Oappend(V_x,V_ts,T_a),T_a) = c_List_Oappend(c_List_Oappend(V_xs,V_x,T_a),V_ts,T_a) ).
% 0.67/0.86
% 0.67/0.86 cnf(cls_append__eq__append__conv2_4,axiom,
% 0.67/0.86 c_List_Oappend(c_List_Oappend(V_zs,V_x,T_a),V_ys,T_a) = c_List_Oappend(V_zs,c_List_Oappend(V_x,V_ys,T_a),T_a) ).
% 0.67/0.86
% 0.67/0.86 cnf(cls_append__eq__appendI_0,axiom,
% 0.67/0.86 c_List_Oappend(V_xs,c_List_Oappend(V_xs1,V_us,T_a),T_a) = c_List_Oappend(c_List_Oappend(V_xs,V_xs1,T_a),V_us,T_a) ).
% 0.67/0.86
% 0.67/0.86 cnf(cls_append__assoc_0,axiom,
% 0.67/0.86 c_List_Oappend(c_List_Oappend(V_xs,V_ys,T_a),V_zs,T_a) = c_List_Oappend(V_xs,c_List_Oappend(V_ys,V_zs,T_a),T_a) ).
% 0.67/0.86
% 0.67/0.86 cnf(cls_not__symKeys__priK_0,axiom,
% 0.67/0.86 ~ c_in(hAPP(c_Message_OinvKey,hAPP(c_Public_OpublicKey(V_b),V_A)),c_Message_OsymKeys,tc_nat) ).
% 0.67/0.86
% 0.67/0.86 cnf(cls_insert__code_1,axiom,
% 0.67/0.86 hBOOL(hAPP(c_Set_Oinsert(V_x,V_A,T_a),V_x)) ).
% 0.67/0.86
% 0.67/0.86 cnf(cls_image__insert_0,axiom,
% 0.67/0.86 c_Set_Oimage(V_f,c_Set_Oinsert(V_a,V_B,T_b),T_b,T_a) = c_Set_Oinsert(hAPP(V_f,V_a),c_Set_Oimage(V_f,V_B,T_b,T_a),T_a) ).
% 0.67/0.86
% 0.67/0.86 cnf(cls_top1I_0,axiom,
% 0.67/0.86 hBOOL(hAPP(c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_bool)),V_x)) ).
% 0.67/0.86
% 0.67/0.86 cnf(cls_invKey__K_0,axiom,
% 0.67/0.86 ( hAPP(c_Message_OinvKey,V_K) = V_K
% 0.67/0.86 | ~ c_in(V_K,c_Message_OsymKeys,tc_nat) ) ).
% 0.67/0.86
% 0.67/0.86 cnf(cls_symKeys__invKey__iff_1,axiom,
% 0.67/0.86 ( c_in(hAPP(c_Message_OinvKey,V_K),c_Message_OsymKeys,tc_nat)
% 0.67/0.86 | ~ c_in(V_K,c_Message_OsymKeys,tc_nat) ) ).
% 0.67/0.86
% 0.67/0.86 cnf(cls_symKeys__invKey__iff_0,axiom,
% 0.67/0.86 ( c_in(V_K,c_Message_OsymKeys,tc_nat)
% 0.67/0.86 | ~ c_in(hAPP(c_Message_OinvKey,V_K),c_Message_OsymKeys,tc_nat) ) ).
% 0.67/0.86
% 0.67/0.86 cnf(cls_insert__code_0,axiom,
% 0.67/0.86 ( hBOOL(hAPP(V_A,V_x))
% 0.67/0.86 | V_y = V_x
% 0.67/0.86 | ~ hBOOL(hAPP(c_Set_Oinsert(V_y,V_A,T_a),V_x)) ) ).
% 0.67/0.86
% 0.67/0.86 cnf(cls_insert__absorb2_0,axiom,
% 0.67/0.86 c_Set_Oinsert(V_x,c_Set_Oinsert(V_x,V_A,T_a),T_a) = c_Set_Oinsert(V_x,V_A,T_a) ).
% 0.67/0.86
% 0.67/0.86 cnf(cls_privateKey__notin__image__publicKey_0,axiom,
% 0.67/0.86 ~ c_in(hAPP(c_Message_OinvKey,hAPP(c_Public_OpublicKey(V_b),V_x)),c_Set_Oimage(c_Public_OpublicKey(V_c),V_AA,tc_Message_Oagent,tc_nat),tc_nat) ).
% 0.67/0.86
% 0.67/0.86 cnf(cls_publicKey__image__eq_2,axiom,
% 0.67/0.86 ( c_in(hAPP(c_Public_OpublicKey(V_x),V_xa),c_Set_Oimage(c_Public_OpublicKey(V_x),V_AA,tc_Message_Oagent,tc_nat),tc_nat)
% 0.67/0.86 | ~ c_in(V_xa,V_AA,tc_Message_Oagent) ) ).
% 0.67/0.86
% 0.67/0.86 cnf(cls_publicKey__image__eq_1,axiom,
% 0.67/0.86 ( c_in(V_x,V_AA,tc_Message_Oagent)
% 0.67/0.86 | ~ c_in(hAPP(c_Public_OpublicKey(V_b),V_x),c_Set_Oimage(c_Public_OpublicKey(V_c),V_AA,tc_Message_Oagent,tc_nat),tc_nat) ) ).
% 0.67/0.86
% 0.67/0.86 cnf(cls_publicKey__image__eq_0,axiom,
% 0.67/0.86 ( V_b = V_c
% 0.67/0.86 | ~ c_in(hAPP(c_Public_OpublicKey(V_b),V_x),c_Set_Oimage(c_Public_OpublicKey(V_c),V_AA,tc_Message_Oagent,tc_nat),tc_nat) ) ).
% 0.67/0.86
% 0.67/0.86 cnf(cls_same__append__eq_0,axiom,
% 0.67/0.86 ( c_List_Oappend(V_xs,V_ys,T_a) != c_List_Oappend(V_xs,V_zs,T_a)
% 0.67/0.86 | V_ys = V_zs ) ).
% 0.67/0.86
% 0.67/0.86 cnf(cls_append__same__eq_0,axiom,
% 0.67/0.86 ( c_List_Oappend(V_ys,V_xs,T_a) != c_List_Oappend(V_zs,V_xs,T_a)
% 0.67/0.86 | V_ys = V_zs ) ).
% 0.67/0.86
% 0.67/0.86 cnf(cls_publicKey__notin__image__shrK_0,axiom,
% 0.67/0.86 ~ c_in(hAPP(c_Public_OpublicKey(V_b),V_x),c_Set_Oimage(c_Public_OshrK,V_AA,tc_Message_Oagent,tc_nat),tc_nat) ).
% 0.67/0.86
% 0.67/0.86 cnf(cls_insert__commute_0,axiom,
% 0.67/0.86 c_Set_Oinsert(V_x,c_Set_Oinsert(V_y,V_A,T_a),T_a) = c_Set_Oinsert(V_y,c_Set_Oinsert(V_x,V_A,T_a),T_a) ).
% 0.67/0.86
% 0.67/0.86 cnf(cls_append__eq__Cons__conv_5,axiom,
% 0.67/0.86 c_List_Oappend(c_List_Olist_OCons(V_x,V_xa,T_a),V_zs,T_a) = c_List_Olist_OCons(V_x,c_List_Oappend(V_xa,V_zs,T_a),T_a) ).
% 0.67/0.86
% 0.67/0.86 cnf(cls_append__Cons_0,axiom,
% 0.67/0.86 c_List_Oappend(c_List_Olist_OCons(V_x,V_xs,T_a),V_ys,T_a) = c_List_Olist_OCons(V_x,c_List_Oappend(V_xs,V_ys,T_a),T_a) ).
% 0.67/0.86
% 0.67/0.86 cnf(cls_insert__code_2,axiom,
% 0.67/0.86 ( hBOOL(hAPP(c_Set_Oinsert(V_y,V_A,T_a),V_x))
% 0.67/0.86 | ~ hBOOL(hAPP(V_A,V_x)) ) ).
% 0.67/0.86
% 0.67/0.86 cnf(cls_Cons__eq__append__conv_5,axiom,
% 0.67/0.86 c_List_Olist_OCons(V_x,c_List_Oappend(V_xa,V_zs,T_a),T_a) = c_List_Oappend(c_List_Olist_OCons(V_x,V_xa,T_a),V_zs,T_a) ).
% 0.67/0.86
% 0.67/0.86 cnf(cls_Cons__eq__appendI_0,axiom,
% 0.67/0.86 c_List_Olist_OCons(V_x,c_List_Oappend(V_xs1,V_zs,T_a),T_a) = c_List_Oappend(c_List_Olist_OCons(V_x,V_xs1,T_a),V_zs,T_a) ).
% 0.67/0.86
% 0.67/0.86 cnf(cls_not__symKeys__pubK_0,axiom,
% 0.67/0.86 ~ c_in(hAPP(c_Public_OpublicKey(V_b),V_A),c_Message_OsymKeys,tc_nat) ).
% 0.67/0.86
% 0.67/0.86 cnf(cls_analz__image__freshK__simps_I56_J_0,axiom,
% 0.67/0.86 c_Set_Oinsert(hAPP(V_f,V_a),c_Set_Oimage(V_f,V_B,T_b,T_a),T_a) = c_Set_Oimage(V_f,c_Set_Oinsert(V_a,V_B,T_b),T_b,T_a) ).
% 0.67/0.86
% 0.67/0.86 cnf(cls_shrK__notin__image__publicKey_0,axiom,
% 0.67/0.86 ~ c_in(hAPP(c_Public_OshrK,V_x),c_Set_Oimage(c_Public_OpublicKey(V_b),V_AA,tc_Message_Oagent,tc_nat),tc_nat) ).
% 0.67/0.86
% 0.67/0.86 cnf(cls_Key__not__used_0,axiom,
% 0.67/0.86 ( ~ c_in(V_K,c_Set_Oimage(c_Public_OshrK,c_Orderings_Otop__class_Otop(tc_fun(tc_Message_Oagent,tc_bool)),tc_Message_Oagent,tc_nat),tc_nat)
% 0.67/0.86 | c_in(hAPP(c_Message_Omsg_OKey,V_K),c_Event_Oused(V_evs),tc_Message_Omsg) ) ).
% 0.67/0.86
% 0.67/0.86 cnf(cls_insert__iff_2,axiom,
% 0.67/0.86 ( c_in(V_a,c_Set_Oinsert(V_b,V_A,T_a),T_a)
% 0.67/0.86 | ~ c_in(V_a,V_A,T_a) ) ).
% 0.67/0.86
% 0.67/0.86 cnf(cls_insertCI_0,axiom,
% 0.67/0.86 ( c_in(V_a,c_Set_Oinsert(V_b,V_B,T_a),T_a)
% 0.67/0.86 | ~ c_in(V_a,V_B,T_a) ) ).
% 0.67/0.86
% 0.67/0.86 cnf(cls_insertE_0,axiom,
% 0.67/0.86 ( c_in(V_a,V_A,T_a)
% 0.67/0.86 | V_a = V_b
% 0.67/0.86 | ~ c_in(V_a,c_Set_Oinsert(V_b,V_A,T_a),T_a) ) ).
% 0.67/0.86
% 0.67/0.86 cnf(cls_UNIV__I_0,axiom,
% 0.67/0.86 c_in(V_x,c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_bool)),T_a) ).
% 0.67/0.86
% 0.67/0.86 cnf(cls_insert__iff_1,axiom,
% 0.67/0.86 c_in(V_x,c_Set_Oinsert(V_x,V_A,T_a),T_a) ).
% 0.67/0.86
% 0.67/0.86 cnf(cls_insertI1_0,axiom,
% 0.67/0.86 c_in(V_a,c_Set_Oinsert(V_a,V_B,T_a),T_a) ).
% 0.67/0.86
% 0.67/0.86 cnf(cls_insertCI_1,axiom,
% 0.67/0.86 c_in(V_x,c_Set_Oinsert(V_x,V_B,T_a),T_a) ).
% 0.67/0.86
% 0.67/0.86 cnf(cls_insert__ident_0,axiom,
% 0.67/0.86 ( c_Set_Oinsert(V_x,V_A,T_a) != c_Set_Oinsert(V_x,V_B,T_a)
% 0.67/0.86 | c_in(V_x,V_B,T_a)
% 0.67/0.86 | c_in(V_x,V_A,T_a)
% 0.67/0.86 | V_A = V_B ) ).
% 0.67/0.86
% 0.67/0.86 cnf(cls_insert__absorb_0,axiom,
% 0.67/0.86 ( c_Set_Oinsert(V_a,V_A,T_a) = V_A
% 0.67/0.86 | ~ c_in(V_a,V_A,T_a) ) ).
% 0.67/0.86
% 0.67/0.86 cnf(cls_append__is__Nil__conv_2,axiom,
% 0.67/0.86 c_List_Oappend(c_List_Olist_ONil(T_a),c_List_Olist_ONil(T_a),T_a) = c_List_Olist_ONil(T_a) ).
% 0.67/0.86
% 0.67/0.86 cnf(cls_self__append__conv2_0,axiom,
% 0.67/0.86 ( V_ys != c_List_Oappend(V_xs,V_ys,T_a)
% 0.67/0.86 | V_xs = c_List_Olist_ONil(T_a) ) ).
% 0.67/0.86
% 0.67/0.86 cnf(cls_append__self__conv2_0,axiom,
% 0.67/0.86 ( c_List_Oappend(V_xs,V_ys,T_a) != V_ys
% 0.67/0.86 | V_xs = c_List_Olist_ONil(T_a) ) ).
% 0.67/0.86
% 0.67/0.86 cnf(cls_self__append__conv_0,axiom,
% 0.67/0.86 ( V_xs != c_List_Oappend(V_xs,V_ys,T_a)
% 0.67/0.86 | V_ys = c_List_Olist_ONil(T_a) ) ).
% 0.67/0.86
% 0.67/0.86 cnf(cls_append__self__conv_0,axiom,
% 0.67/0.86 ( c_List_Oappend(V_xs,V_ys,T_a) != V_xs
% 0.67/0.86 | V_ys = c_List_Olist_ONil(T_a) ) ).
% 0.67/0.86
% 0.67/0.86 cnf(cls_append__is__Nil__conv_1,axiom,
% 0.67/0.86 ( c_List_Oappend(V_xs,V_ys,T_a) != c_List_Olist_ONil(T_a)
% 0.67/0.86 | V_ys = c_List_Olist_ONil(T_a) ) ).
% 0.67/0.86
% 0.67/0.86 cnf(cls_append__is__Nil__conv_0,axiom,
% 0.67/0.86 ( c_List_Oappend(V_xs,V_ys,T_a) != c_List_Olist_ONil(T_a)
% 0.67/0.86 | V_xs = c_List_Olist_ONil(T_a) ) ).
% 0.67/0.86
% 0.67/0.86 cnf(cls_Nil__is__append__conv_1,axiom,
% 0.67/0.86 ( c_List_Olist_ONil(T_a) != c_List_Oappend(V_xs,V_ys,T_a)
% 0.67/0.86 | V_ys = c_List_Olist_ONil(T_a) ) ).
% 0.67/0.86
% 0.67/0.86 cnf(cls_Nil__is__append__conv_0,axiom,
% 0.67/0.86 ( c_List_Olist_ONil(T_a) != c_List_Oappend(V_xs,V_ys,T_a)
% 0.67/0.86 | V_xs = c_List_Olist_ONil(T_a) ) ).
% 0.67/0.86
% 0.67/0.86 cnf(cls_self__append__conv2_1,axiom,
% 0.67/0.86 V_ys = c_List_Oappend(c_List_Olist_ONil(T_a),V_ys,T_a) ).
% 0.67/0.86
% 0.67/0.86 cnf(cls_append__Nil_0,axiom,
% 0.67/0.86 c_List_Oappend(c_List_Olist_ONil(T_a),V_ys,T_a) = V_ys ).
% 0.67/0.86
% 0.67/0.86 cnf(cls_self__append__conv_1,axiom,
% 0.67/0.86 V_xs = c_List_Oappend(V_xs,c_List_Olist_ONil(T_a),T_a) ).
% 0.67/0.86
% 0.67/0.86 cnf(cls_eq__Nil__appendI_0,axiom,
% 0.67/0.86 V_x = c_List_Oappend(c_List_Olist_ONil(T_a),V_x,T_a) ).
% 0.67/0.86
% 0.67/0.86 cnf(cls_append__Nil2_0,axiom,
% 0.67/0.86 c_List_Oappend(V_xs,c_List_Olist_ONil(T_a),T_a) = V_xs ).
% 0.67/0.86
% 0.67/0.86 cnf(cls_Nil__is__append__conv_2,axiom,
% 0.67/0.86 c_List_Olist_ONil(T_a) = c_List_Oappend(c_List_Olist_ONil(T_a),c_List_Olist_ONil(T_a),T_a) ).
% 0.67/0.86
% 0.67/0.86 cnf(cls_analz__insert__cong_0,axiom,
% 0.67/0.86 ( c_Message_Oanalz(V_H) != c_Message_Oanalz(V_H_H)
% 0.67/0.86 | 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)) ) ).
% 0.67/0.86
% 0.67/0.86 cnf(cls_shrK__image__eq_1,axiom,
% 0.67/0.86 ( c_in(hAPP(c_Public_OshrK,V_x),c_Set_Oimage(c_Public_OshrK,V_AA,tc_Message_Oagent,tc_nat),tc_nat)
% 0.67/0.86 | ~ c_in(V_x,V_AA,tc_Message_Oagent) ) ).
% 0.67/0.86
% 0.67/0.86 cnf(cls_shrK__image__eq_0,axiom,
% 0.67/0.86 ( c_in(V_x,V_AA,tc_Message_Oagent)
% 0.67/0.86 | ~ c_in(hAPP(c_Public_OshrK,V_x),c_Set_Oimage(c_Public_OshrK,V_AA,tc_Message_Oagent,tc_nat),tc_nat) ) ).
% 0.67/0.86
% 0.67/0.86 cnf(cls_analz__Crypt__if_1,axiom,
% 0.67/0.86 ( 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)
% 0.67/0.86 | c_in(hAPP(c_Message_Omsg_OKey,hAPP(c_Message_OinvKey,V_K)),c_Message_Oanalz(V_H),tc_Message_Omsg) ) ).
% 0.67/0.86
% 0.67/0.86 cnf(cls_analz__Crypt__if_0,axiom,
% 0.67/0.86 ( 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)
% 0.67/0.86 | ~ c_in(hAPP(c_Message_Omsg_OKey,hAPP(c_Message_OinvKey,V_K)),c_Message_Oanalz(V_H),tc_Message_Omsg) ) ).
% 0.67/0.86
% 0.67/0.86 cnf(cls_Says__S__message__form_0,axiom,
% 0.67/0.86 ( c_in(V_X,c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,V_evs)),tc_Message_Omsg)
% 0.67/0.86 | ~ c_in(V_K,c_Set_Oimage(c_Public_OshrK,c_Orderings_Otop__class_Otop(tc_fun(tc_Message_Oagent,tc_bool)),tc_Message_Oagent,tc_nat),tc_nat)
% 0.67/0.86 | ~ c_in(V_evs,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))
% 0.67/0.86 | ~ c_in(c_Event_Oevent_OSays(V_S,V_A,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,V_A),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(V_NA),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(V_B),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,V_K),V_X))))),c_List_Oset(V_evs,tc_Event_Oevent),tc_Event_Oevent) ) ).
% 0.67/0.86
% 0.67/0.86 cnf(cls_spies__Gets__rev_0,axiom,
% 0.67/0.86 c_Event_Oknows(c_Message_Oagent_OSpy,c_List_Oappend(V_evs,c_List_Olist_OCons(c_Event_Oevent_OGets(V_A,V_X),c_List_Olist_ONil(tc_Event_Oevent),tc_Event_Oevent),tc_Event_Oevent)) = c_Event_Oknows(c_Message_Oagent_OSpy,V_evs) ).
% 0.67/0.86
% 0.67/0.86 cnf(cls_ns__sharedp_ONS5_0,axiom,
% 0.67/0.86 ( 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))
% 0.67/0.86 | ~ c_in(c_Event_Oevent_OSays(V_S,V_A,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,V_A),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(V_NA),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(V_B),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,V_K),V_X))))),c_List_Oset(V_evs5,tc_Event_Oevent),tc_Event_Oevent)
% 0.67/0.86 | ~ 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)
% 0.67/0.86 | ~ c_in(V_K,c_Message_OsymKeys,tc_nat)
% 0.67/0.86 | ~ c_NS__Shared__Mirabelle_Ons__sharedp(V_evs5) ) ).
% 0.67/0.86
% 0.67/0.86 cnf(cls_ns__shared_ONS5_0,axiom,
% 0.67/0.86 ( 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))
% 0.67/0.86 | ~ c_in(c_Event_Oevent_OSays(V_S,V_A,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,V_A),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(V_NA),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(V_B),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,V_K),V_X))))),c_List_Oset(V_evs5,tc_Event_Oevent),tc_Event_Oevent)
% 0.67/0.86 | ~ 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)
% 0.67/0.86 | ~ c_in(V_K,c_Message_OsymKeys,tc_nat)
% 0.67/0.86 | ~ c_in(V_evs5,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent)) ) ).
% 0.67/0.86
% 0.67/0.86 cnf(cls_knows__Spy__Notes_0,axiom,
% 0.67/0.86 ( c_Event_Oknows(c_Message_Oagent_OSpy,c_List_Olist_OCons(c_Event_Oevent_ONotes(V_A,V_X),V_evs,tc_Event_Oevent)) = c_Set_Oinsert(V_X,c_Event_Oknows(c_Message_Oagent_OSpy,V_evs),tc_Message_Omsg)
% 0.67/0.86 | ~ c_in(V_A,c_Event_Obad,tc_Message_Oagent) ) ).
% 0.67/0.86
% 0.67/0.86 cnf(cls_ns__sharedp_ONS4_0,axiom,
% 0.67/0.86 ( 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))
% 0.67/0.86 | ~ 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)
% 0.67/0.86 | ~ c_in(V_K,c_Message_OsymKeys,tc_nat)
% 0.67/0.86 | c_in(c_Message_Omsg_ONonce(V_NB),c_Event_Oused(V_evs4),tc_Message_Omsg)
% 0.67/0.86 | ~ c_NS__Shared__Mirabelle_Ons__sharedp(V_evs4) ) ).
% 0.67/0.86
% 0.67/0.86 cnf(cls_ns__shared_ONS4_0,axiom,
% 0.67/0.86 ( 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))
% 0.67/0.86 | ~ 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)
% 0.67/0.86 | ~ c_in(V_K,c_Message_OsymKeys,tc_nat)
% 0.67/0.86 | c_in(c_Message_Omsg_ONonce(V_NB),c_Event_Oused(V_evs4),tc_Message_Omsg)
% 0.67/0.86 | ~ c_in(V_evs4,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent)) ) ).
% 0.67/0.86
% 0.67/0.86 cnf(cls_ns__sharedp_ONS2_0,axiom,
% 0.67/0.86 ( 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))
% 0.67/0.86 | ~ 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)
% 0.67/0.86 | ~ c_in(V_KAB,c_Message_OsymKeys,tc_nat)
% 0.67/0.86 | c_in(hAPP(c_Message_Omsg_OKey,V_KAB),c_Event_Oused(V_evs2),tc_Message_Omsg)
% 0.67/0.86 | ~ c_NS__Shared__Mirabelle_Ons__sharedp(V_evs2) ) ).
% 0.67/0.86
% 0.67/0.86 cnf(cls_spies__Notes__rev_1,axiom,
% 0.67/0.86 ( c_Event_Oknows(c_Message_Oagent_OSpy,c_List_Oappend(V_evs,c_List_Olist_OCons(c_Event_Oevent_ONotes(V_A,V_X),c_List_Olist_ONil(tc_Event_Oevent),tc_Event_Oevent),tc_Event_Oevent)) = c_Event_Oknows(c_Message_Oagent_OSpy,V_evs)
% 0.67/0.86 | c_in(V_A,c_Event_Obad,tc_Message_Oagent) ) ).
% 0.67/0.86
% 0.67/0.86 cnf(cls_ns__shared_ONS2_0,axiom,
% 0.67/0.86 ( 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))
% 0.67/0.86 | ~ 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)
% 0.67/0.86 | ~ c_in(V_KAB,c_Message_OsymKeys,tc_nat)
% 0.67/0.86 | c_in(hAPP(c_Message_Omsg_OKey,V_KAB),c_Event_Oused(V_evs2),tc_Message_Omsg)
% 0.67/0.86 | ~ c_in(V_evs2,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent)) ) ).
% 0.67/0.86
% 0.67/0.86 cnf(cls_knows__imp__Says__Gets__Notes__initState_0,axiom,
% 0.67/0.86 ( c_in(V_X,c_Event_OinitState(V_A),tc_Message_Omsg)
% 0.67/0.86 | c_in(c_Event_Oevent_ONotes(V_A,V_X),c_List_Oset(V_evs,tc_Event_Oevent),tc_Event_Oevent)
% 0.67/0.86 | c_in(c_Event_Oevent_OGets(V_A,V_X),c_List_Oset(V_evs,tc_Event_Oevent),tc_Event_Oevent)
% 0.67/0.86 | 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)
% 0.67/0.86 | V_A = c_Message_Oagent_OSpy
% 0.67/0.86 | ~ c_in(V_X,c_Event_Oknows(V_A,V_evs),tc_Message_Omsg) ) ).
% 0.67/0.86
% 0.67/0.86 cnf(cls_Spy__not__see__encrypted__key_0,axiom,
% 0.67/0.86 ( ~ c_in(hAPP(c_Message_Omsg_OKey,V_K),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,V_evs)),tc_Message_Omsg)
% 0.67/0.86 | ~ c_in(V_evs,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))
% 0.67/0.86 | c_in(V_B,c_Event_Obad,tc_Message_Oagent)
% 0.67/0.86 | c_in(V_A,c_Event_Obad,tc_Message_Oagent)
% 0.67/0.86 | c_in(c_Event_Oevent_ONotes(c_Message_Oagent_OSpy,c_Message_Omsg_OMPair(V_NA,c_Message_Omsg_OMPair(v_sko__NS__Shared__Mirabelle__XSpy__not__see__encrypted__key__1(V_K,V_NA,V_evs),hAPP(c_Message_Omsg_OKey,V_K)))),c_List_Oset(V_evs,tc_Event_Oevent),tc_Event_Oevent)
% 0.67/0.86 | ~ c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,V_A,c_Message_Omsg_OCrypt(V_K_H,c_Message_Omsg_OMPair(V_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(V_B),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,V_K),V_X))))),c_List_Oset(V_evs,tc_Event_Oevent),tc_Event_Oevent) ) ).
% 0.67/0.86
% 0.67/0.86 cnf(cls_secrecy__lemma_0,axiom,
% 0.67/0.86 ( ~ c_in(hAPP(c_Message_Omsg_OKey,V_K),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,V_evs)),tc_Message_Omsg)
% 0.67/0.86 | c_in(c_Event_Oevent_ONotes(c_Message_Oagent_OSpy,c_Message_Omsg_OMPair(V_NA,c_Message_Omsg_OMPair(v_sko__NS__Shared__Mirabelle__Xsecrecy__lemma__1(V_K,V_NA,V_evs),hAPP(c_Message_Omsg_OKey,V_K)))),c_List_Oset(V_evs,tc_Event_Oevent),tc_Event_Oevent)
% 0.67/0.86 | ~ c_in(V_evs,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))
% 0.67/0.86 | c_in(V_B,c_Event_Obad,tc_Message_Oagent)
% 0.67/0.86 | c_in(V_A,c_Event_Obad,tc_Message_Oagent)
% 0.67/0.86 | ~ c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,V_A,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,V_A),c_Message_Omsg_OMPair(V_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(V_B),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,V_K),c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,V_B),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,V_K),c_Message_Omsg_OAgent(V_A)))))))),c_List_Oset(V_evs,tc_Event_Oevent),tc_Event_Oevent) ) ).
% 0.67/0.86
% 0.67/0.86 cnf(cls_MPair__synth__analz_1,axiom,
% 0.67/0.86 ( c_in(V_Y,c_Message_Osynth(c_Message_Oanalz(V_H)),tc_Message_Omsg)
% 0.67/0.86 | ~ c_in(c_Message_Omsg_OMPair(V_X,V_Y),c_Message_Osynth(c_Message_Oanalz(V_H)),tc_Message_Omsg) ) ).
% 0.67/0.86
% 0.67/0.86 cnf(cls_Crypt__notin__initState_0,axiom,
% 0.67/0.86 ~ c_in(c_Message_Omsg_OCrypt(V_K,V_X),c_Message_Oparts(c_Event_OinitState(V_B)),tc_Message_Omsg) ).
% 0.67/0.86
% 0.67/0.86 cnf(cls_Says__Server__message__form_1,axiom,
% 0.67/0.86 ( V_X = c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,V_B),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,V_K),c_Message_Omsg_OAgent(V_A)))
% 0.67/0.86 | ~ c_in(V_evs,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))
% 0.67/0.86 | ~ c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,V_A,c_Message_Omsg_OCrypt(V_K_H,c_Message_Omsg_OMPair(V_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) ) ).
% 0.67/0.87
% 0.67/0.87 cnf(cls_unique__session__keys_3,axiom,
% 0.67/0.87 ( V_X = V_X_H
% 0.67/0.87 | ~ c_in(V_evs,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))
% 0.67/0.87 | ~ 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)
% 0.67/0.87 | ~ 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) ) ).
% 0.67/0.87
% 0.67/0.87 cnf(cls_unique__session__keys_2,axiom,
% 0.67/0.87 ( V_B = V_B_H
% 0.67/0.87 | ~ c_in(V_evs,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))
% 0.67/0.87 | ~ 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)
% 0.67/0.87 | ~ 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) ) ).
% 0.67/0.87
% 0.67/0.87 cnf(cls_unique__session__keys_1,axiom,
% 0.67/0.87 ( V_NA = V_NA_H
% 0.67/0.87 | ~ c_in(V_evs,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))
% 0.67/0.87 | ~ 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)
% 0.67/0.87 | ~ 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) ) ).
% 0.67/0.87
% 0.67/0.87 cnf(cls_unique__session__keys_0,axiom,
% 0.67/0.87 ( V_A = V_A_H
% 0.67/0.87 | ~ c_in(V_evs,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))
% 0.67/0.87 | ~ 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)
% 0.67/0.87 | ~ 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) ) ).
% 0.67/0.87
% 0.67/0.87 cnf(cls_Says__Server__message__form_2,axiom,
% 0.67/0.87 ( V_K_H = hAPP(c_Public_OshrK,V_A)
% 0.67/0.87 | ~ c_in(V_evs,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))
% 0.67/0.87 | ~ 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) ) ).
% 0.67/0.87
% 0.67/0.87 cnf(cls_ns__sharedp_OOops_0,axiom,
% 0.67/0.87 ( 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))
% 0.67/0.87 | ~ 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)
% 0.67/0.87 | ~ 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)
% 0.67/0.87 | ~ c_NS__Shared__Mirabelle_Ons__sharedp(V_evso) ) ).
% 0.67/0.87
% 0.67/0.87 cnf(cls_knows__Nil_0,axiom,
% 0.67/0.87 c_Event_Oknows(V_A,c_List_Olist_ONil(tc_Event_Oevent)) = c_Event_OinitState(V_A) ).
% 0.67/0.87
% 0.67/0.87 cnf(cls_ns__shared_ONS3_0,axiom,
% 0.67/0.87 ( 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))
% 0.67/0.87 | ~ 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)
% 0.67/0.87 | ~ 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)
% 0.67/0.87 | V_A = c_Message_Oagent_OServer
% 0.67/0.87 | ~ c_in(V_evs3,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent)) ) ).
% 0.67/0.87
% 0.67/0.87 cnf(cls_Server__not__bad_0,axiom,
% 0.67/0.87 ~ c_in(c_Message_Oagent_OServer,c_Event_Obad,tc_Message_Oagent) ).
% 0.67/0.87
% 0.67/0.87 cnf(cls_knows__Spy__Notes_1,axiom,
% 0.67/0.87 ( 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)
% 0.67/0.87 | c_in(V_A,c_Event_Obad,tc_Message_Oagent) ) ).
% 0.67/0.87
% 0.67/0.87 cnf(cls_ns__shared_OOops_0,axiom,
% 0.67/0.87 ( 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))
% 0.67/0.87 | ~ 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)
% 0.67/0.87 | ~ 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)
% 0.67/0.87 | ~ c_in(V_evso,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent)) ) ).
% 0.67/0.87
% 0.67/0.87 cnf(cls_analz__mono__contra_I3_J_0,axiom,
% 0.67/0.87 ( ~ c_in(V_c,c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,V_evs)),tc_Message_Omsg)
% 0.67/0.87 | 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) ) ).
% 0.67/0.87
% 0.67/0.87 cnf(cls_analz__mono__contra_I2_J_0,axiom,
% 0.67/0.87 ( ~ c_in(V_c,c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,V_evs)),tc_Message_Omsg)
% 0.67/0.87 | 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) ) ).
% 0.67/0.87
% 0.67/0.87 cnf(cls_analz__image__Key_0,axiom,
% 0.67/0.87 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) ).
% 0.67/0.87
% 0.67/0.87 cnf(cls_Nonce__synth_0,axiom,
% 0.67/0.87 ( c_in(c_Message_Omsg_ONonce(V_n),V_H,tc_Message_Omsg)
% 0.67/0.87 | ~ c_in(c_Message_Omsg_ONonce(V_n),c_Message_Osynth(V_H),tc_Message_Omsg) ) ).
% 0.67/0.87
% 0.67/0.87 cnf(cls_Nonce__synth__eq_0,axiom,
% 0.67/0.87 ( c_in(c_Message_Omsg_ONonce(V_N),V_H,tc_Message_Omsg)
% 0.67/0.87 | ~ c_in(c_Message_Omsg_ONonce(V_N),c_Message_Osynth(V_H),tc_Message_Omsg) ) ).
% 0.67/0.87
% 0.67/0.87 cnf(cls_Nonce__synth__eq_1,axiom,
% 0.67/0.87 ( c_in(c_Message_Omsg_ONonce(V_N),c_Message_Osynth(V_H),tc_Message_Omsg)
% 0.67/0.87 | ~ c_in(c_Message_Omsg_ONonce(V_N),V_H,tc_Message_Omsg) ) ).
% 0.67/0.87
% 0.67/0.87 cnf(cls_Agent__synth_0,axiom,
% 0.67/0.87 c_in(c_Message_Omsg_OAgent(V_A),c_Message_Osynth(V_H),tc_Message_Omsg) ).
% 0.67/0.87
% 0.67/0.87 cnf(cls_synth_OAgent_0,axiom,
% 0.67/0.87 c_in(c_Message_Omsg_OAgent(V_agt),c_Message_Osynth(V_H),tc_Message_Omsg) ).
% 0.67/0.87
% 0.67/0.87 cnf(cls_parts__image__Key_0,axiom,
% 0.67/0.87 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) ).
% 0.67/0.87
% 0.67/0.87 cnf(cls_Crypt__synth__analz_0,axiom,
% 0.67/0.87 ( c_in(V_X,c_Message_Osynth(c_Message_Oanalz(V_H)),tc_Message_Omsg)
% 0.67/0.87 | ~ c_in(c_Message_Omsg_OCrypt(V_K,V_X),c_Message_Osynth(c_Message_Oanalz(V_H)),tc_Message_Omsg)
% 0.67/0.87 | ~ c_in(hAPP(c_Message_Omsg_OKey,hAPP(c_Message_OinvKey,V_K)),c_Message_Oanalz(V_H),tc_Message_Omsg)
% 0.67/0.87 | ~ c_in(hAPP(c_Message_Omsg_OKey,V_K),c_Message_Oanalz(V_H),tc_Message_Omsg) ) ).
% 0.67/0.87
% 0.67/0.87 cnf(cls_Crypt__synth__analz_1,axiom,
% 0.67/0.87 ( c_in(c_Message_Omsg_OCrypt(V_K,V_X),c_Message_Osynth(c_Message_Oanalz(V_H)),tc_Message_Omsg)
% 0.67/0.87 | ~ c_in(V_X,c_Message_Osynth(c_Message_Oanalz(V_H)),tc_Message_Omsg)
% 0.67/0.87 | ~ c_in(hAPP(c_Message_Omsg_OKey,hAPP(c_Message_OinvKey,V_K)),c_Message_Oanalz(V_H),tc_Message_Omsg)
% 0.67/0.87 | ~ c_in(hAPP(c_Message_Omsg_OKey,V_K),c_Message_Oanalz(V_H),tc_Message_Omsg) ) ).
% 0.67/0.87
% 0.67/0.87 cnf(cls_Key__synth_0,axiom,
% 0.67/0.87 ( c_in(hAPP(c_Message_Omsg_OKey,V_K),V_H,tc_Message_Omsg)
% 0.67/0.87 | ~ c_in(hAPP(c_Message_Omsg_OKey,V_K),c_Message_Osynth(V_H),tc_Message_Omsg) ) ).
% 0.67/0.87
% 0.67/0.87 cnf(cls_Key__synth__eq_1,axiom,
% 0.67/0.87 ( c_in(hAPP(c_Message_Omsg_OKey,V_K),c_Message_Osynth(V_H),tc_Message_Omsg)
% 0.67/0.87 | ~ c_in(hAPP(c_Message_Omsg_OKey,V_K),V_H,tc_Message_Omsg) ) ).
% 0.67/0.87
% 0.67/0.87 cnf(cls_Crypt__synth_0,axiom,
% 0.67/0.87 ( c_in(V_X,c_Message_Osynth(V_H),tc_Message_Omsg)
% 0.67/0.87 | c_in(c_Message_Omsg_OCrypt(V_K,V_X),V_H,tc_Message_Omsg)
% 0.67/0.87 | ~ c_in(c_Message_Omsg_OCrypt(V_K,V_X),c_Message_Osynth(V_H),tc_Message_Omsg) ) ).
% 0.67/0.87
% 0.67/0.87 cnf(cls_MPair__synth_0,axiom,
% 0.67/0.87 ( c_in(V_X,c_Message_Osynth(V_H),tc_Message_Omsg)
% 0.67/0.87 | c_in(c_Message_Omsg_OMPair(V_X,V_Y),V_H,tc_Message_Omsg)
% 0.67/0.87 | ~ c_in(c_Message_Omsg_OMPair(V_X,V_Y),c_Message_Osynth(V_H),tc_Message_Omsg) ) ).
% 0.67/0.87
% 0.67/0.87 cnf(cls_MPair__synth_1,axiom,
% 0.67/0.87 ( c_in(V_Y,c_Message_Osynth(V_H),tc_Message_Omsg)
% 0.67/0.87 | c_in(c_Message_Omsg_OMPair(V_X,V_Y),V_H,tc_Message_Omsg)
% 0.67/0.87 | ~ c_in(c_Message_Omsg_OMPair(V_X,V_Y),c_Message_Osynth(V_H),tc_Message_Omsg) ) ).
% 0.67/0.87
% 0.67/0.87 cnf(cls_synth_OMPair_0,axiom,
% 0.67/0.87 ( c_in(c_Message_Omsg_OMPair(V_X,V_Y),c_Message_Osynth(V_H),tc_Message_Omsg)
% 0.67/0.87 | ~ c_in(V_Y,c_Message_Osynth(V_H),tc_Message_Omsg)
% 0.67/0.87 | ~ c_in(V_X,c_Message_Osynth(V_H),tc_Message_Omsg) ) ).
% 0.67/0.87
% 0.67/0.87 cnf(cls_MPair__used_0,axiom,
% 0.67/0.87 ( c_in(V_X,c_Event_Oused(V_H),tc_Message_Omsg)
% 0.67/0.87 | ~ c_in(c_Message_Omsg_OMPair(V_X,V_Y),c_Event_Oused(V_H),tc_Message_Omsg) ) ).
% 0.67/0.87
% 0.67/0.87 cnf(cls_MPair__used_1,axiom,
% 0.67/0.87 ( c_in(V_Y,c_Event_Oused(V_H),tc_Message_Omsg)
% 0.67/0.87 | ~ c_in(c_Message_Omsg_OMPair(V_X,V_Y),c_Event_Oused(V_H),tc_Message_Omsg) ) ).
% 0.67/0.87
% 0.67/0.87 cnf(cls_set__ConsD_0,axiom,
% 0.67/0.87 ( c_in(V_y,c_List_Oset(V_xs,T_a),T_a)
% 0.67/0.87 | V_y = V_x
% 0.67/0.87 | ~ c_in(V_y,c_List_Oset(c_List_Olist_OCons(V_x,V_xs,T_a),T_a),T_a) ) ).
% 0.67/0.87
% 0.67/0.87 cnf(cls_ns__sharedp_OFake_0,axiom,
% 0.67/0.87 ( 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))
% 0.67/0.87 | ~ c_in(V_X,c_Message_Osynth(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,V_evsf))),tc_Message_Omsg)
% 0.67/0.87 | ~ c_NS__Shared__Mirabelle_Ons__sharedp(V_evsf) ) ).
% 0.67/0.87
% 0.67/0.87 cnf(cls_Notes__imp__used_0,axiom,
% 0.67/0.87 ( c_in(V_X,c_Event_Oused(V_evs),tc_Message_Omsg)
% 0.67/0.87 | ~ c_in(c_Event_Oevent_ONotes(V_A,V_X),c_List_Oset(V_evs,tc_Event_Oevent),tc_Event_Oevent) ) ).
% 0.67/0.87
% 0.67/0.87 cnf(cls_ns__sharedp_ONil_0,axiom,
% 0.67/0.87 c_NS__Shared__Mirabelle_Ons__sharedp(c_List_Olist_ONil(tc_Event_Oevent)) ).
% 0.67/0.87
% 0.67/0.87 cnf(cls_ns__shared_OFake_0,axiom,
% 0.67/0.87 ( 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))
% 0.67/0.87 | ~ c_in(V_X,c_Message_Osynth(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,V_evsf))),tc_Message_Omsg)
% 0.67/0.87 | ~ c_in(V_evsf,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent)) ) ).
% 0.67/0.87
% 0.67/0.87 cnf(cls_ns__sharedp_ONS1_0,axiom,
% 0.67/0.87 ( 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))
% 0.67/0.87 | c_in(c_Message_Omsg_ONonce(V_NA),c_Event_Oused(V_evs1),tc_Message_Omsg)
% 0.67/0.87 | ~ c_NS__Shared__Mirabelle_Ons__sharedp(V_evs1) ) ).
% 0.67/0.87
% 0.67/0.87 cnf(cls_invKey__shrK_0,axiom,
% 0.67/0.87 hAPP(c_Message_OinvKey,hAPP(c_Public_OshrK,V_A)) = hAPP(c_Public_OshrK,V_A) ).
% 0.67/0.87
% 0.67/0.87 cnf(cls_shrK__neq__pubK_0,axiom,
% 0.67/0.87 hAPP(c_Public_OpublicKey(V_b),V_C) != hAPP(c_Public_OshrK,V_A) ).
% 0.67/0.87
% 0.67/0.87 cnf(cls_pubK__neq__shrK_0,axiom,
% 0.67/0.87 hAPP(c_Public_OshrK,V_A) != hAPP(c_Public_OpublicKey(V_b),V_C) ).
% 0.67/0.87
% 0.67/0.87 cnf(cls_event_Osimps_I7_J_0,axiom,
% 0.67/0.87 c_Event_Oevent_ONotes(V_agent_H,V_msg_H) != c_Event_Oevent_OSays(V_agent1,V_agent2,V_msg) ).
% 0.67/0.87
% 0.67/0.87 cnf(cls_event_Osimps_I5_J_0,axiom,
% 0.67/0.87 c_Event_Oevent_OGets(V_agent_H,V_msg_H) != c_Event_Oevent_OSays(V_agent1,V_agent2,V_msg) ).
% 0.67/0.87
% 0.67/0.87 cnf(cls_event_Osimps_I6_J_0,axiom,
% 0.67/0.87 c_Event_Oevent_OSays(V_agent1,V_agent2,V_msg) != c_Event_Oevent_ONotes(V_agent_H,V_msg_H) ).
% 0.67/0.87
% 0.67/0.87 cnf(cls_event_Osimps_I4_J_0,axiom,
% 0.67/0.87 c_Event_Oevent_OSays(V_agent1,V_agent2,V_msg) != c_Event_Oevent_OGets(V_agent_H,V_msg_H) ).
% 0.67/0.87
% 0.67/0.87 cnf(cls_knows__Spy__Gets_0,axiom,
% 0.67/0.87 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) ).
% 0.67/0.87
% 0.67/0.87 cnf(cls_agent_Osimps_I5_J_0,axiom,
% 0.67/0.87 c_Message_Oagent_OSpy != c_Message_Oagent_OServer ).
% 0.67/0.87
% 0.67/0.87 cnf(cls_agent_Osimps_I4_J_0,axiom,
% 0.67/0.87 c_Message_Oagent_OServer != c_Message_Oagent_OSpy ).
% 0.67/0.87
% 0.67/0.87 cnf(cls_ns__shared_ONS1_0,axiom,
% 0.67/0.87 ( 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))
% 0.67/0.87 | c_in(c_Message_Omsg_ONonce(V_NA),c_Event_Oused(V_evs1),tc_Message_Omsg)
% 0.67/0.87 | ~ c_in(V_evs1,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent)) ) ).
% 0.67/0.87
% 0.67/0.87 cnf(cls_publicKey__in__initState_0,axiom,
% 0.67/0.87 c_in(hAPP(c_Message_Omsg_OKey,hAPP(c_Public_OpublicKey(V_b),V_A)),c_Event_OinitState(V_B),tc_Message_Omsg) ).
% 0.67/0.87
% 0.67/0.87 cnf(cls_publicKey__into__used_0,axiom,
% 0.67/0.87 c_in(hAPP(c_Message_Omsg_OKey,hAPP(c_Public_OpublicKey(V_b),V_A)),c_Event_Oused(V_evs),tc_Message_Omsg) ).
% 0.67/0.87
% 0.67/0.87 cnf(cls_initState__into__used_0,axiom,
% 0.67/0.87 ( c_in(V_X,c_Event_Oused(V_evs),tc_Message_Omsg)
% 0.67/0.87 | ~ c_in(V_X,c_Message_Oparts(c_Event_OinitState(V_B)),tc_Message_Omsg) ) ).
% 0.67/0.87
% 0.67/0.87 cnf(cls_list_Osimps_I3_J_0,axiom,
% 0.67/0.87 c_List_Olist_OCons(V_a_H,V_list_H,T_a) != c_List_Olist_ONil(T_a) ).
% 0.67/0.87
% 0.67/0.87 cnf(cls_neq__Nil__conv_1,axiom,
% 0.67/0.87 c_List_Olist_OCons(V_x,V_xa,T_a) != c_List_Olist_ONil(T_a) ).
% 0.67/0.87
% 0.67/0.87 cnf(cls_list_Osimps_I2_J_0,axiom,
% 0.67/0.87 c_List_Olist_ONil(T_a) != c_List_Olist_OCons(V_a_H,V_list_H,T_a) ).
% 0.67/0.87
% 0.67/0.87 cnf(cls_synth__synthD_0,axiom,
% 0.67/0.87 ( c_in(V_X,c_Message_Osynth(V_H),tc_Message_Omsg)
% 0.67/0.87 | ~ c_in(V_X,c_Message_Osynth(c_Message_Osynth(V_H)),tc_Message_Omsg) ) ).
% 0.67/0.87
% 0.67/0.87 cnf(cls_synth_OInj_0,axiom,
% 0.67/0.87 ( c_in(V_X,c_Message_Osynth(V_H),tc_Message_Omsg)
% 0.67/0.87 | ~ c_in(V_X,V_H,tc_Message_Omsg) ) ).
% 0.67/0.87
% 0.67/0.87 cnf(cls_imageI_0,axiom,
% 0.67/0.87 ( c_in(hAPP(V_f,V_x),c_Set_Oimage(V_f,V_A,T_a,T_b),T_b)
% 0.67/0.87 | ~ c_in(V_x,V_A,T_a) ) ).
% 0.67/0.87
% 0.67/0.87 cnf(cls_image__eqI_0,axiom,
% 0.67/0.87 ( c_in(hAPP(V_f,V_x),c_Set_Oimage(V_f,V_A,T_b,T_a),T_a)
% 0.67/0.87 | ~ c_in(V_x,V_A,T_b) ) ).
% 0.67/0.87
% 0.67/0.87 cnf(cls_image__iff_2,axiom,
% 0.67/0.87 ( ~ c_in(V_x,V_A,T_b)
% 0.67/0.87 | c_in(hAPP(V_f,V_x),c_Set_Oimage(V_f,V_A,T_b,T_a),T_a) ) ).
% 0.67/0.87
% 0.67/0.87 cnf(cls_rev__image__eqI_0,axiom,
% 0.67/0.87 ( ~ c_in(V_x,V_A,T_aa)
% 0.67/0.87 | c_in(hAPP(V_f,V_x),c_Set_Oimage(V_f,V_A,T_aa,T_a),T_a) ) ).
% 0.67/0.87
% 0.67/0.87 cnf(cls_privateKey__into__used_0,axiom,
% 0.67/0.87 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) ).
% 0.67/0.87
% 0.67/0.87 cnf(cls_not__Cons__self_0,axiom,
% 0.67/0.87 V_xs != c_List_Olist_OCons(V_x,V_xs,T_a) ).
% 0.67/0.87
% 0.67/0.87 cnf(cls_not__Cons__self2_0,axiom,
% 0.67/0.87 c_List_Olist_OCons(V_x,V_t,T_a) != V_t ).
% 0.67/0.87
% 0.67/0.87 cnf(cls_synth__idem_0,axiom,
% 0.67/0.87 c_Message_Osynth(c_Message_Osynth(V_H)) = c_Message_Osynth(V_H) ).
% 0.67/0.87
% 0.67/0.87 cnf(cls_priK__in__initState_0,axiom,
% 0.67/0.87 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) ).
% 0.67/0.87
% 0.67/0.87 cnf(cls_publicKey__inject_0,axiom,
% 0.67/0.87 ( hAPP(c_Public_OpublicKey(V_b),V_A) != hAPP(c_Public_OpublicKey(V_c),V_A_H)
% 0.67/0.87 | V_b = V_c ) ).
% 0.67/0.87
% 0.67/0.87 cnf(cls_publicKey__inject_1,axiom,
% 0.67/0.87 ( hAPP(c_Public_OpublicKey(V_b),V_A) != hAPP(c_Public_OpublicKey(V_c),V_A_H)
% 0.67/0.87 | V_A = V_A_H ) ).
% 0.67/0.87
% 0.67/0.87 cnf(cls_privateKey__neq__publicKey_0,axiom,
% 0.67/0.87 hAPP(c_Message_OinvKey,hAPP(c_Public_OpublicKey(V_b),V_A)) != hAPP(c_Public_OpublicKey(V_c),V_A_H) ).
% 0.67/0.87
% 0.67/0.87 cnf(cls_invKey__eq_0,axiom,
% 0.67/0.87 ( hAPP(c_Message_OinvKey,V_K) != hAPP(c_Message_OinvKey,V_K_H)
% 0.67/0.87 | V_K = V_K_H ) ).
% 0.67/0.87
% 0.67/0.87 cnf(cls_event_Osimps_I2_J_1,axiom,
% 0.67/0.87 ( c_Event_Oevent_OGets(V_agent,V_msg) != c_Event_Oevent_OGets(V_agent_H,V_msg_H)
% 0.67/0.87 | V_msg = V_msg_H ) ).
% 0.67/0.87
% 0.67/0.87 cnf(cls_event_Osimps_I2_J_0,axiom,
% 0.67/0.87 ( c_Event_Oevent_OGets(V_agent,V_msg) != c_Event_Oevent_OGets(V_agent_H,V_msg_H)
% 0.67/0.87 | V_agent = V_agent_H ) ).
% 0.67/0.87
% 0.67/0.87 cnf(cls_event_Osimps_I8_J_0,axiom,
% 0.67/0.87 c_Event_Oevent_OGets(V_agent,V_msg) != c_Event_Oevent_ONotes(V_agent_H,V_msg_H) ).
% 0.67/0.87
% 0.67/0.87 cnf(cls_event_Osimps_I3_J_1,axiom,
% 0.67/0.87 ( c_Event_Oevent_ONotes(V_agent,V_msg) != c_Event_Oevent_ONotes(V_agent_H,V_msg_H)
% 0.67/0.87 | V_msg = V_msg_H ) ).
% 0.67/0.87
% 0.67/0.87 cnf(cls_event_Osimps_I3_J_0,axiom,
% 0.67/0.87 ( c_Event_Oevent_ONotes(V_agent,V_msg) != c_Event_Oevent_ONotes(V_agent_H,V_msg_H)
% 0.67/0.87 | V_agent = V_agent_H ) ).
% 0.67/0.87
% 0.67/0.87 cnf(cls_invKey_0,axiom,
% 0.67/0.87 hAPP(c_Message_OinvKey,hAPP(c_Message_OinvKey,V_K)) = V_K ).
% 0.67/0.87
% 0.67/0.87 cnf(cls_event_Osimps_I9_J_0,axiom,
% 0.67/0.87 c_Event_Oevent_ONotes(V_agent_H,V_msg_H) != c_Event_Oevent_OGets(V_agent,V_msg) ).
% 0.67/0.87
% 0.67/0.87 cnf(cls_list_Oinject_0,axiom,
% 0.67/0.87 ( c_List_Olist_OCons(V_a,V_list,T_a) != c_List_Olist_OCons(V_a_H,V_list_H,T_a)
% 0.67/0.87 | V_a = V_a_H ) ).
% 0.67/0.87
% 0.67/0.87 cnf(cls_list_Oinject_1,axiom,
% 0.67/0.87 ( c_List_Olist_OCons(V_a,V_list,T_a) != c_List_Olist_OCons(V_a_H,V_list_H,T_a)
% 0.67/0.87 | V_list = V_list_H ) ).
% 0.67/0.87
% 0.67/0.87 cnf(cls_priK__neq__shrK_0,axiom,
% 0.67/0.87 hAPP(c_Public_OshrK,V_A) != hAPP(c_Message_OinvKey,hAPP(c_Public_OpublicKey(V_b),V_C)) ).
% 0.67/0.87
% 0.67/0.87 cnf(cls_ns__shared_ONil_0,axiom,
% 0.67/0.87 c_in(c_List_Olist_ONil(tc_Event_Oevent),c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent)) ).
% 0.67/0.87
% 0.67/0.87 cnf(cls_used__Gets_0,axiom,
% 0.67/0.87 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) ).
% 0.67/0.87
% 0.67/0.87 cnf(cls_shrK__neq__priK_0,axiom,
% 0.67/0.87 hAPP(c_Message_OinvKey,hAPP(c_Public_OpublicKey(V_b),V_C)) != hAPP(c_Public_OshrK,V_A) ).
% 0.67/0.87
% 0.67/0.87 cnf(cls_publicKey__neq__privateKey_0,axiom,
% 0.67/0.87 hAPP(c_Public_OpublicKey(V_c),V_A_H) != hAPP(c_Message_OinvKey,hAPP(c_Public_OpublicKey(V_b),V_A)) ).
% 0.67/0.87
% 0.67/0.87 cnf(cls_MPair__synth__analz_0,axiom,
% 0.67/0.87 ( c_in(V_X,c_Message_Osynth(c_Message_Oanalz(V_H)),tc_Message_Omsg)
% 0.67/0.87 | ~ c_in(c_Message_Omsg_OMPair(V_X,V_Y),c_Message_Osynth(c_Message_Oanalz(V_H)),tc_Message_Omsg) ) ).
% 0.67/0.87
% 0.67/0.87 cnf(cls_MPair__synth__analz_2,axiom,
% 0.67/0.87 ( c_in(c_Message_Omsg_OMPair(V_X,V_Y),c_Message_Osynth(c_Message_Oanalz(V_H)),tc_Message_Omsg)
% 0.67/0.87 | ~ c_in(V_Y,c_Message_Osynth(c_Message_Oanalz(V_H)),tc_Message_Omsg)
% 0.67/0.87 | ~ c_in(V_X,c_Message_Osynth(c_Message_Oanalz(V_H)),tc_Message_Omsg) ) ).
% 0.67/0.87
% 0.67/0.87 cnf(cls_Crypt__notin__image__Key_0,axiom,
% 0.67/0.87 ~ 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) ).
% 0.67/0.87
% 0.67/0.87 cnf(cls_Crypt__synth__eq_1,axiom,
% 0.67/0.87 ( c_in(c_Message_Omsg_OCrypt(V_K,V_X),c_Message_Osynth(V_H),tc_Message_Omsg)
% 0.67/0.87 | ~ c_in(c_Message_Omsg_OCrypt(V_K,V_X),V_H,tc_Message_Omsg)
% 0.67/0.87 | c_in(hAPP(c_Message_Omsg_OKey,V_K),V_H,tc_Message_Omsg) ) ).
% 0.67/0.87
% 0.67/0.87 cnf(cls_Crypt__synth__eq_0,axiom,
% 0.67/0.87 ( c_in(c_Message_Omsg_OCrypt(V_K,V_X),V_H,tc_Message_Omsg)
% 0.67/0.87 | ~ c_in(c_Message_Omsg_OCrypt(V_K,V_X),c_Message_Osynth(V_H),tc_Message_Omsg)
% 0.67/0.87 | c_in(hAPP(c_Message_Omsg_OKey,V_K),V_H,tc_Message_Omsg) ) ).
% 0.67/0.87
% 0.67/0.87 cnf(cls_Crypt__synth_1,axiom,
% 0.67/0.87 ( c_in(hAPP(c_Message_Omsg_OKey,V_K),V_H,tc_Message_Omsg)
% 0.67/0.87 | c_in(c_Message_Omsg_OCrypt(V_K,V_X),V_H,tc_Message_Omsg)
% 0.67/0.87 | ~ c_in(c_Message_Omsg_OCrypt(V_K,V_X),c_Message_Osynth(V_H),tc_Message_Omsg) ) ).
% 0.67/0.87
% 0.67/0.87 cnf(cls_synth_OCrypt_0,axiom,
% 0.67/0.87 ( c_in(c_Message_Omsg_OCrypt(V_K,V_X),c_Message_Osynth(V_H),tc_Message_Omsg)
% 0.67/0.87 | ~ c_in(hAPP(c_Message_Omsg_OKey,V_K),V_H,tc_Message_Omsg)
% 0.67/0.87 | ~ c_in(V_X,c_Message_Osynth(V_H),tc_Message_Omsg) ) ).
% 0.67/0.87
% 0.67/0.87 cnf(cls_Nonce__notin__initState_0,axiom,
% 0.67/0.87 ~ c_in(c_Message_Omsg_ONonce(V_N),c_Message_Oparts(c_Event_OinitState(V_B)),tc_Message_Omsg) ).
% 0.67/0.87
% 0.67/0.87 cnf(cls_Nonce__Key__image__eq_0,axiom,
% 0.67/0.87 ~ 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) ).
% 0.67/0.87
% 0.67/0.87 cnf(cls_shrK__in__initState_0,axiom,
% 0.67/0.87 c_in(hAPP(c_Message_Omsg_OKey,hAPP(c_Public_OshrK,V_A)),c_Event_OinitState(V_A),tc_Message_Omsg) ).
% 0.67/0.87
% 0.67/0.87 cnf(cls_shrK__in__used_0,axiom,
% 0.67/0.87 c_in(hAPP(c_Message_Omsg_OKey,hAPP(c_Public_OshrK,V_A)),c_Event_Oused(V_evs),tc_Message_Omsg) ).
% 0.67/0.87
% 0.67/0.87 cnf(cls_neq__shrK_0,axiom,
% 0.67/0.87 c_in(hAPP(c_Message_Omsg_OKey,hAPP(c_Public_OshrK,V_B)),c_Event_Oused(V_evs),tc_Message_Omsg) ).
% 0.67/0.87
% 0.67/0.87 cnf(cls_ns__sharedp_ONS3_0,axiom,
% 0.67/0.87 ( 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))
% 0.67/0.87 | ~ 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)
% 0.67/0.87 | ~ 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)
% 0.67/0.87 | V_A = c_Message_Oagent_OServer
% 0.67/0.87 | ~ c_NS__Shared__Mirabelle_Ons__sharedp(V_evs3) ) ).
% 0.67/0.87
% 0.67/0.87 cnf(cls_B__trusts__NS5_0,axiom,
% 0.67/0.87 ( c_in(c_Event_Oevent_OSays(V_A,V_B,c_Message_Omsg_OCrypt(V_K,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(V_NB),c_Message_Omsg_ONonce(V_NB)))),c_List_Oset(V_evs,tc_Event_Oevent),tc_Event_Oevent)
% 0.67/0.87 | ~ c_in(V_evs,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))
% 0.67/0.87 | c_in(V_B,c_Event_Obad,tc_Message_Oagent)
% 0.67/0.87 | c_in(V_A,c_Event_Obad,tc_Message_Oagent)
% 0.67/0.87 | c_in(c_Event_Oevent_ONotes(c_Message_Oagent_OSpy,c_Message_Omsg_OMPair(v_sko__NS__Shared__Mirabelle__XB__trusts__NS5__1(V_K,V_evs),c_Message_Omsg_OMPair(v_sko__NS__Shared__Mirabelle__XB__trusts__NS5__2(V_K,V_evs),hAPP(c_Message_Omsg_OKey,V_K)))),c_List_Oset(V_evs,tc_Event_Oevent),tc_Event_Oevent)
% 0.67/0.87 | ~ 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)
% 0.67/0.87 | ~ c_in(c_Message_Omsg_OCrypt(V_K,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(V_NB),c_Message_Omsg_ONonce(V_NB))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,V_evs)),tc_Message_Omsg) ) ).
% 0.67/0.87
% 0.67/0.87 cnf(cls_Spy__spies__bad__privateKey_0,axiom,
% 0.67/0.87 ( 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)
% 0.67/0.87 | ~ c_in(V_A,c_Event_Obad,tc_Message_Oagent) ) ).
% 0.67/0.87
% 0.67/0.87 cnf(cls_Crypt__notin__used__empty_0,axiom,
% 0.67/0.87 ~ c_in(c_Message_Omsg_OCrypt(V_K,V_X),c_Event_Oused(c_List_Olist_ONil(tc_Event_Oevent)),tc_Message_Omsg) ).
% 0.67/0.87
% 0.67/0.87 cnf(cls_Nonce__notin__used__empty_0,axiom,
% 0.67/0.87 ~ c_in(c_Message_Omsg_ONonce(V_N),c_Event_Oused(c_List_Olist_ONil(tc_Event_Oevent)),tc_Message_Omsg) ).
% 0.67/0.87
% 0.67/0.87 cnf(cls_NS4__implies__NS3_0,axiom,
% 0.67/0.87 ( c_in(c_Event_Oevent_OSays(v_sko__NS__Shared__Mirabelle__XNS4__implies__NS3__1(V_B,V_X,V_evs),V_B,V_X),c_List_Oset(V_evs,tc_Event_Oevent),tc_Event_Oevent)
% 0.67/0.87 | ~ c_in(c_Message_Omsg_OCrypt(V_K,c_Message_Omsg_ONonce(V_NB)),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,V_evs)),tc_Message_Omsg)
% 0.67/0.87 | ~ 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)
% 0.67/0.87 | c_in(hAPP(c_Message_Omsg_OKey,V_K),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,V_evs)),tc_Message_Omsg)
% 0.67/0.87 | ~ c_in(V_evs,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent)) ) ).
% 0.67/0.87
% 0.67/0.87 cnf(cls_B__trusts__NS3_0,axiom,
% 0.67/0.87 ( 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)
% 0.67/0.87 | ~ c_in(V_evs,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))
% 0.67/0.87 | c_in(V_B,c_Event_Obad,tc_Message_Oagent)
% 0.67/0.87 | ~ 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) ) ).
% 0.67/0.87
% 0.67/0.87 cnf(cls_A__trusts__NS4_0,axiom,
% 0.67/0.87 ( c_in(c_Event_Oevent_OSays(V_B,V_A,c_Message_Omsg_OCrypt(V_K,c_Message_Omsg_ONonce(V_NB))),c_List_Oset(V_evs,tc_Event_Oevent),tc_Event_Oevent)
% 0.67/0.87 | ~ c_in(V_evs,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))
% 0.67/0.87 | c_in(V_B,c_Event_Obad,tc_Message_Oagent)
% 0.67/0.87 | c_in(V_A,c_Event_Obad,tc_Message_Oagent)
% 0.67/0.87 | c_in(c_Event_Oevent_ONotes(c_Message_Oagent_OSpy,c_Message_Omsg_OMPair(V_NA,c_Message_Omsg_OMPair(v_sko__NS__Shared__Mirabelle__XA__trusts__NS4__1(V_K,V_NA,V_evs),hAPP(c_Message_Omsg_OKey,V_K)))),c_List_Oset(V_evs,tc_Event_Oevent),tc_Event_Oevent)
% 0.67/0.87 | ~ 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)
% 0.67/0.87 | ~ c_in(c_Message_Omsg_OCrypt(V_K,c_Message_Omsg_ONonce(V_NB)),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,V_evs)),tc_Message_Omsg) ) ).
% 0.67/0.87
% 0.67/0.87 cnf(cls_analz_ODecrypt_0,axiom,
% 0.67/0.87 ( c_in(V_X,c_Message_Oanalz(V_H),tc_Message_Omsg)
% 0.67/0.87 | ~ c_in(hAPP(c_Message_Omsg_OKey,hAPP(c_Message_OinvKey,V_K)),c_Message_Oanalz(V_H),tc_Message_Omsg)
% 0.67/0.87 | ~ c_in(c_Message_Omsg_OCrypt(V_K,V_X),c_Message_Oanalz(V_H),tc_Message_Omsg) ) ).
% 0.67/0.87
% 0.67/0.87 cnf(cls_usedI_0,axiom,
% 0.67/0.87 ( c_in(V_c,c_Event_Oused(V_evs),tc_Message_Omsg)
% 0.67/0.87 | ~ c_in(V_c,c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,V_evs)),tc_Message_Omsg) ) ).
% 0.67/0.87
% 0.67/0.87 cnf(cls_spies__pubK_0,axiom,
% 0.67/0.87 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) ).
% 0.67/0.87
% 0.67/0.87 cnf(cls_Spy__see__shrK_1,axiom,
% 0.67/0.87 ( 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)
% 0.67/0.87 | ~ c_in(V_A,c_Event_Obad,tc_Message_Oagent)
% 0.67/0.87 | ~ c_in(V_evs,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent)) ) ).
% 0.67/0.87
% 0.67/0.87 cnf(cls_Spy__see__shrK_0,axiom,
% 0.67/0.87 ( c_in(V_A,c_Event_Obad,tc_Message_Oagent)
% 0.67/0.87 | ~ 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)
% 0.67/0.87 | ~ c_in(V_evs,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent)) ) ).
% 0.67/0.87
% 0.67/0.87 cnf(cls_Notes__imp__knows_0,axiom,
% 0.67/0.87 ( c_in(V_X,c_Event_Oknows(V_A,V_evs),tc_Message_Omsg)
% 0.67/0.87 | ~ c_in(c_Event_Oevent_ONotes(V_A,V_X),c_List_Oset(V_evs,tc_Event_Oevent),tc_Event_Oevent) ) ).
% 0.67/0.87
% 0.67/0.87 cnf(cls_Spy__analz__shrK_0,axiom,
% 0.67/0.87 ( c_in(V_A,c_Event_Obad,tc_Message_Oagent)
% 0.67/0.87 | ~ 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)
% 0.67/0.87 | ~ c_in(V_evs,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent)) ) ).
% 0.67/0.87
% 0.67/0.87 cnf(cls_Spy__analz__shrK_1,axiom,
% 0.67/0.87 ( 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)
% 0.67/0.87 | ~ c_in(V_A,c_Event_Obad,tc_Message_Oagent)
% 0.67/0.87 | ~ c_in(V_evs,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent)) ) ).
% 0.67/0.87
% 0.67/0.87 cnf(cls_Says__imp__used_0,axiom,
% 0.67/0.87 ( c_in(V_X,c_Event_Oused(V_evs),tc_Message_Omsg)
% 0.67/0.87 | ~ c_in(c_Event_Oevent_OSays(V_A,V_B,V_X),c_List_Oset(V_evs,tc_Event_Oevent),tc_Event_Oevent) ) ).
% 0.67/0.87
% 0.67/0.87 cnf(cls_B__Issues__A_0,axiom,
% 0.67/0.87 ( c_NS__Shared__Mirabelle_OIssues(V_B,V_A,c_Message_Omsg_OCrypt(V_K,c_Message_Omsg_ONonce(V_Nb)),V_evs)
% 0.67/0.87 | ~ c_in(V_evs,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))
% 0.67/0.87 | c_in(V_B,c_Event_Obad,tc_Message_Oagent)
% 0.67/0.87 | c_in(V_A,c_Event_Obad,tc_Message_Oagent)
% 0.67/0.87 | c_in(hAPP(c_Message_Omsg_OKey,V_K),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,V_evs)),tc_Message_Omsg)
% 0.67/0.87 | ~ c_in(c_Event_Oevent_OSays(V_B,V_A,c_Message_Omsg_OCrypt(V_K,c_Message_Omsg_ONonce(V_Nb))),c_List_Oset(V_evs,tc_Event_Oevent),tc_Event_Oevent) ) ).
% 0.67/0.87
% 0.67/0.87 cnf(cls_A__authenticates__and__keydist__to__B_0,axiom,
% 0.67/0.87 ( c_NS__Shared__Mirabelle_OIssues(V_B,V_A,c_Message_Omsg_OCrypt(V_K,c_Message_Omsg_ONonce(V_NB)),V_evs)
% 0.67/0.87 | ~ c_in(V_evs,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))
% 0.67/0.87 | c_in(V_B,c_Event_Obad,tc_Message_Oagent)
% 0.67/0.87 | c_in(V_A,c_Event_Obad,tc_Message_Oagent)
% 0.67/0.87 | c_in(hAPP(c_Message_Omsg_OKey,V_K),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,V_evs)),tc_Message_Omsg)
% 0.67/0.87 | ~ 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)
% 0.67/0.87 | ~ c_in(c_Message_Omsg_OCrypt(V_K,c_Message_Omsg_ONonce(V_NB)),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,V_evs)),tc_Message_Omsg) ) ).
% 0.67/0.87
% 0.67/0.87 cnf(cls_A__trusts__NS4__lemma_0,axiom,
% 0.67/0.87 ( c_in(c_Event_Oevent_OSays(V_B,V_A,c_Message_Omsg_OCrypt(V_K,c_Message_Omsg_ONonce(V_NB))),c_List_Oset(V_evs,tc_Event_Oevent),tc_Event_Oevent)
% 0.67/0.87 | ~ c_in(c_Message_Omsg_OCrypt(V_K,c_Message_Omsg_ONonce(V_NB)),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,V_evs)),tc_Message_Omsg)
% 0.67/0.87 | ~ 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)
% 0.67/0.87 | c_in(hAPP(c_Message_Omsg_OKey,V_K),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,V_evs)),tc_Message_Omsg)
% 0.67/0.87 | ~ c_in(V_evs,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent)) ) ).
% 0.67/0.87
% 0.67/0.87 cnf(cls_A__trusts__NS2_0,axiom,
% 0.67/0.87 ( 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)
% 0.67/0.87 | ~ c_in(V_evs,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))
% 0.67/0.87 | c_in(V_A,c_Event_Obad,tc_Message_Oagent)
% 0.67/0.87 | ~ 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) ) ).
% 0.67/0.87
% 0.67/0.87 cnf(cls_analz__spies__pubK_0,axiom,
% 0.67/0.87 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) ).
% 0.67/0.87
% 0.67/0.87 cnf(cls_analz__mono__contra_I1_J_0,axiom,
% 0.67/0.87 ( ~ c_in(V_c,c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,V_evs)),tc_Message_Omsg)
% 0.67/0.87 | 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) ) ).
% 0.67/0.87
% 0.67/0.87 cnf(cls_Gets__imp__knows__agents_0,axiom,
% 0.67/0.87 ( c_in(V_X,c_Event_Oknows(V_A,V_evs),tc_Message_Omsg)
% 0.67/0.87 | ~ c_in(c_Event_Oevent_OGets(V_A,V_X),c_List_Oset(V_evs,tc_Event_Oevent),tc_Event_Oevent)
% 0.67/0.87 | V_A = c_Message_Oagent_OSpy ) ).
% 0.67/0.87
% 0.67/0.87 cnf(cls_B__trusts__NS5__lemma_0,axiom,
% 0.67/0.87 ( c_in(c_Event_Oevent_OSays(V_A,V_B,c_Message_Omsg_OCrypt(V_K,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(V_NB),c_Message_Omsg_ONonce(V_NB)))),c_List_Oset(V_evs,tc_Event_Oevent),tc_Event_Oevent)
% 0.67/0.87 | ~ c_in(c_Message_Omsg_OCrypt(V_K,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(V_NB),c_Message_Omsg_ONonce(V_NB))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,V_evs)),tc_Message_Omsg)
% 0.67/0.87 | ~ 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)
% 0.67/0.87 | c_in(hAPP(c_Message_Omsg_OKey,V_K),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,V_evs)),tc_Message_Omsg)
% 0.67/0.87 | ~ c_in(V_evs,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))
% 0.67/0.87 | c_in(V_B,c_Event_Obad,tc_Message_Oagent) ) ).
% 0.67/0.87
% 0.67/0.87 cnf(cls_cert__A__form_1,axiom,
% 0.67/0.87 ( 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)))
% 0.67/0.87 | ~ c_in(V_evs,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))
% 0.67/0.87 | c_in(V_A,c_Event_Obad,tc_Message_Oagent)
% 0.67/0.87 | ~ 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) ) ).
% 0.67/0.87
% 0.67/0.87 cnf(cls_Says__S__message__form_1,axiom,
% 0.67/0.87 ( c_in(V_X,c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,V_evs)),tc_Message_Omsg)
% 0.67/0.87 | 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)))
% 0.67/0.87 | ~ c_in(V_evs,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))
% 0.67/0.87 | ~ 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) ) ).
% 0.67/0.87
% 0.67/0.87 cnf(cls_Notes__imp__knows__Spy_0,axiom,
% 0.67/0.87 ( c_in(V_X,c_Event_Oknows(c_Message_Oagent_OSpy,V_evs),tc_Message_Omsg)
% 0.67/0.87 | ~ c_in(V_A,c_Event_Obad,tc_Message_Oagent)
% 0.67/0.87 | ~ c_in(c_Event_Oevent_ONotes(V_A,V_X),c_List_Oset(V_evs,tc_Event_Oevent),tc_Event_Oevent) ) ).
% 0.67/0.87
% 0.67/0.87 cnf(cls_Oops__parts__spies_0,axiom,
% 0.67/0.87 ( c_in(V_K,c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,V_evs)),tc_Message_Omsg)
% 0.67/0.87 | ~ 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) ) ).
% 0.67/0.87
% 0.67/0.87 cnf(cls_msg_Osimps_I1_J_0,axiom,
% 0.67/0.87 ( c_Message_Omsg_OAgent(V_agent) != c_Message_Omsg_OAgent(V_agent_H)
% 0.67/0.87 | V_agent = V_agent_H ) ).
% 0.67/0.87
% 0.67/0.87 cnf(cls_parts__analz_0,axiom,
% 0.67/0.87 c_Message_Oparts(c_Message_Oanalz(V_H)) = c_Message_Oparts(V_H) ).
% 0.67/0.87
% 0.67/0.87 cnf(cls_Says__imp__knows_0,axiom,
% 0.67/0.87 ( c_in(V_X,c_Event_Oknows(V_A,V_evs),tc_Message_Omsg)
% 0.67/0.87 | ~ c_in(c_Event_Oevent_OSays(V_A,V_B,V_X),c_List_Oset(V_evs,tc_Event_Oevent),tc_Event_Oevent) ) ).
% 0.67/0.87
% 0.67/0.87 cnf(cls_analz__idem_0,axiom,
% 0.67/0.87 c_Message_Oanalz(c_Message_Oanalz(V_H)) = c_Message_Oanalz(V_H) ).
% 0.67/0.87
% 0.67/0.87 cnf(cls_analz_OSnd_0,axiom,
% 0.67/0.87 ( c_in(V_Y,c_Message_Oanalz(V_H),tc_Message_Omsg)
% 0.67/0.87 | ~ c_in(c_Message_Omsg_OMPair(V_X,V_Y),c_Message_Oanalz(V_H),tc_Message_Omsg) ) ).
% 0.67/0.87
% 0.67/0.87 cnf(cls_analz_OFst_0,axiom,
% 0.67/0.87 ( c_in(V_X,c_Message_Oanalz(V_H),tc_Message_Omsg)
% 0.67/0.87 | ~ c_in(c_Message_Omsg_OMPair(V_X,V_Y),c_Message_Oanalz(V_H),tc_Message_Omsg) ) ).
% 0.67/0.87
% 0.67/0.87 cnf(cls_parts_OSnd_0,axiom,
% 0.67/0.87 ( c_in(V_Y,c_Message_Oparts(V_H),tc_Message_Omsg)
% 0.67/0.87 | ~ c_in(c_Message_Omsg_OMPair(V_X,V_Y),c_Message_Oparts(V_H),tc_Message_Omsg) ) ).
% 0.67/0.87
% 0.67/0.87 cnf(cls_parts_OFst_0,axiom,
% 0.67/0.87 ( c_in(V_X,c_Message_Oparts(V_H),tc_Message_Omsg)
% 0.67/0.87 | ~ c_in(c_Message_Omsg_OMPair(V_X,V_Y),c_Message_Oparts(V_H),tc_Message_Omsg) ) ).
% 0.67/0.87
% 0.67/0.87 cnf(cls_msg_Osimps_I37_J_0,axiom,
% 0.67/0.87 c_Message_Omsg_OCrypt(V_nat_H,V_msg_H) != c_Message_Omsg_ONonce(V_nat) ).
% 0.67/0.87
% 0.67/0.87 cnf(cls_msg_Osimps_I12_J_0,axiom,
% 0.67/0.87 c_Message_Omsg_OAgent(V_agent) != hAPP(c_Message_Omsg_OKey,V_nat_H) ).
% 0.67/0.87
% 0.67/0.87 cnf(cls_msg_Osimps_I31_J_0,axiom,
% 0.67/0.87 hAPP(c_Message_Omsg_OKey,V_nat_H) != c_Message_Omsg_ONonce(V_nat) ).
% 0.67/0.87
% 0.67/0.87 cnf(cls_event_Osimps_I1_J_0,axiom,
% 0.67/0.87 ( c_Event_Oevent_OSays(V_agent1,V_agent2,V_msg) != c_Event_Oevent_OSays(V_agent1_H,V_agent2_H,V_msg_H)
% 0.67/0.87 | V_agent1 = V_agent1_H ) ).
% 0.67/0.87
% 0.67/0.87 cnf(cls_event_Osimps_I1_J_1,axiom,
% 0.67/0.87 ( c_Event_Oevent_OSays(V_agent1,V_agent2,V_msg) != c_Event_Oevent_OSays(V_agent1_H,V_agent2_H,V_msg_H)
% 0.67/0.87 | V_agent2 = V_agent2_H ) ).
% 0.67/0.87
% 0.67/0.87 cnf(cls_event_Osimps_I1_J_2,axiom,
% 0.67/0.87 ( c_Event_Oevent_OSays(V_agent1,V_agent2,V_msg) != c_Event_Oevent_OSays(V_agent1_H,V_agent2_H,V_msg_H)
% 0.67/0.87 | V_msg = V_msg_H ) ).
% 0.67/0.87
% 0.67/0.87 cnf(cls_parts_OInj_0,axiom,
% 0.67/0.87 ( c_in(V_X,c_Message_Oparts(V_H),tc_Message_Omsg)
% 0.67/0.87 | ~ c_in(V_X,V_H,tc_Message_Omsg) ) ).
% 0.67/0.87
% 0.67/0.87 cnf(cls_analz_OInj_0,axiom,
% 0.67/0.87 ( c_in(V_X,c_Message_Oanalz(V_H),tc_Message_Omsg)
% 0.67/0.87 | ~ c_in(V_X,V_H,tc_Message_Omsg) ) ).
% 0.67/0.87
% 0.67/0.87 cnf(cls_Says__imp__parts__knows__Spy_0,axiom,
% 0.67/0.87 ( c_in(V_X,c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,V_evs)),tc_Message_Omsg)
% 0.67/0.87 | ~ c_in(c_Event_Oevent_OSays(V_A,V_B,V_X),c_List_Oset(V_evs,tc_Event_Oevent),tc_Event_Oevent) ) ).
% 0.67/0.87
% 0.67/0.87 cnf(cls_Says__imp__spies_0,axiom,
% 0.67/0.87 ( c_in(V_X,c_Event_Oknows(c_Message_Oagent_OSpy,V_evs),tc_Message_Omsg)
% 0.67/0.87 | ~ c_in(c_Event_Oevent_OSays(V_A,V_B,V_X),c_List_Oset(V_evs,tc_Event_Oevent),tc_Event_Oevent) ) ).
% 0.67/0.87
% 0.67/0.87 cnf(cls_Spy__in__bad_0,axiom,
% 0.67/0.87 c_in(c_Message_Oagent_OSpy,c_Event_Obad,tc_Message_Oagent) ).
% 0.67/0.87
% 0.67/0.87 cnf(cls_NS3__msg__in__parts__spies_0,axiom,
% 0.67/0.87 ( c_in(V_X,c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,V_evs)),tc_Message_Omsg)
% 0.67/0.87 | ~ 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) ) ).
% 0.67/0.87
% 0.67/0.87 cnf(cls_msg_Osimps_I43_J_0,axiom,
% 0.67/0.87 c_Message_Omsg_OCrypt(V_nat_H,V_msg_H) != hAPP(c_Message_Omsg_OKey,V_nat) ).
% 0.67/0.87
% 0.67/0.87 cnf(cls_parts__idem_0,axiom,
% 0.67/0.87 c_Message_Oparts(c_Message_Oparts(V_H)) = c_Message_Oparts(V_H) ).
% 0.67/0.87
% 0.67/0.87 cnf(cls_msg_Osimps_I30_J_0,axiom,
% 0.67/0.87 c_Message_Omsg_ONonce(V_nat) != hAPP(c_Message_Omsg_OKey,V_nat_H) ).
% 0.67/0.87
% 0.67/0.87 cnf(cls_analz__parts_0,axiom,
% 0.67/0.87 c_Message_Oanalz(c_Message_Oparts(V_H)) = c_Message_Oparts(V_H) ).
% 0.67/0.87
% 0.67/0.87 cnf(cls_msg_Osimps_I17_J_0,axiom,
% 0.67/0.87 c_Message_Omsg_OMPair(V_msg1_H,V_msg2_H) != c_Message_Omsg_OAgent(V_agent) ).
% 0.67/0.87
% 0.67/0.87 cnf(cls_msg_Osimps_I11_J_0,axiom,
% 0.67/0.87 c_Message_Omsg_ONonce(V_nat_H) != c_Message_Omsg_OAgent(V_agent) ).
% 0.67/0.87
% 0.67/0.87 cnf(cls_parts_OBody_0,axiom,
% 0.67/0.87 ( c_in(V_X,c_Message_Oparts(V_H),tc_Message_Omsg)
% 0.67/0.87 | ~ c_in(c_Message_Omsg_OCrypt(V_K,V_X),c_Message_Oparts(V_H),tc_Message_Omsg) ) ).
% 0.67/0.87
% 0.67/0.87 cnf(cls_analz__shrK__Decrypt_0,axiom,
% 0.67/0.87 ( c_in(V_X,c_Message_Oanalz(V_H),tc_Message_Omsg)
% 0.67/0.87 | ~ c_in(hAPP(c_Message_Omsg_OKey,hAPP(c_Public_OshrK,V_A)),c_Message_Oanalz(V_H),tc_Message_Omsg)
% 0.67/0.87 | ~ c_in(c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,V_A),V_X),c_Message_Oanalz(V_H),tc_Message_Omsg) ) ).
% 0.67/0.87
% 0.67/0.87 cnf(cls_Says__imp__analz__Spy_0,axiom,
% 0.67/0.87 ( c_in(V_X,c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,V_evs)),tc_Message_Omsg)
% 0.67/0.87 | ~ c_in(c_Event_Oevent_OSays(V_A,V_B,V_X),c_List_Oset(V_evs,tc_Event_Oevent),tc_Event_Oevent) ) ).
% 0.67/0.87
% 0.67/0.87 cnf(cls_parts__partsD_0,axiom,
% 0.67/0.87 ( c_in(V_X,c_Message_Oparts(V_H),tc_Message_Omsg)
% 0.67/0.87 | ~ c_in(V_X,c_Message_Oparts(c_Message_Oparts(V_H)),tc_Message_Omsg) ) ).
% 0.67/0.87
% 0.67/0.87 cnf(cls_msg_Osimps_I4_J_0,axiom,
% 0.67/0.87 ( hAPP(c_Message_Omsg_OKey,V_nat) != hAPP(c_Message_Omsg_OKey,V_nat_H)
% 0.67/0.87 | V_nat = V_nat_H ) ).
% 0.67/0.87
% 0.67/0.87 cnf(cls_msg_Osimps_I16_J_0,axiom,
% 0.67/0.87 c_Message_Omsg_OAgent(V_agent) != c_Message_Omsg_OMPair(V_msg1_H,V_msg2_H) ).
% 0.67/0.87
% 0.67/0.87 cnf(cls_Spy__spies__bad__shrK_0,axiom,
% 0.67/0.87 ( 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)
% 0.67/0.87 | ~ c_in(V_A,c_Event_Obad,tc_Message_Oagent) ) ).
% 0.67/0.87
% 0.67/0.87 cnf(cls_msg_Osimps_I18_J_0,axiom,
% 0.67/0.87 c_Message_Omsg_OAgent(V_agent) != c_Message_Omsg_OCrypt(V_nat_H,V_msg_H) ).
% 0.67/0.87
% 0.67/0.87 cnf(cls_msg_Osimps_I34_J_0,axiom,
% 0.67/0.87 c_Message_Omsg_ONonce(V_nat) != c_Message_Omsg_OMPair(V_msg1_H,V_msg2_H) ).
% 0.67/0.87
% 0.67/0.87 cnf(cls_msg_Osimps_I48_J_0,axiom,
% 0.67/0.87 c_Message_Omsg_OMPair(V_msg1,V_msg2) != c_Message_Omsg_OCrypt(V_nat_H,V_msg_H) ).
% 0.67/0.87
% 0.67/0.87 cnf(cls_msg_Osimps_I19_J_0,axiom,
% 0.67/0.87 c_Message_Omsg_OCrypt(V_nat_H,V_msg_H) != c_Message_Omsg_OAgent(V_agent) ).
% 0.67/0.87
% 0.67/0.87 cnf(cls_shrK__in__knows_0,axiom,
% 0.67/0.87 c_in(hAPP(c_Message_Omsg_OKey,hAPP(c_Public_OshrK,V_A)),c_Event_Oknows(V_A,V_evs),tc_Message_Omsg) ).
% 0.67/0.87
% 0.67/0.87 cnf(cls_msg_Osimps_I13_J_0,axiom,
% 0.67/0.87 hAPP(c_Message_Omsg_OKey,V_nat_H) != c_Message_Omsg_OAgent(V_agent) ).
% 0.67/0.87
% 0.67/0.87 cnf(cls_analz__analzD_0,axiom,
% 0.67/0.87 ( c_in(V_X,c_Message_Oanalz(V_H),tc_Message_Omsg)
% 0.67/0.87 | ~ c_in(V_X,c_Message_Oanalz(c_Message_Oanalz(V_H)),tc_Message_Omsg) ) ).
% 0.85/0.87
% 0.85/0.87 cnf(cls_msg_Osimps_I3_J_0,axiom,
% 0.85/0.87 ( c_Message_Omsg_ONonce(V_nat) != c_Message_Omsg_ONonce(V_nat_H)
% 0.85/0.87 | V_nat = V_nat_H ) ).
% 0.85/0.87
% 0.85/0.87 cnf(cls_mem__def_1,axiom,
% 0.85/0.87 ( c_in(V_x,V_S,T_a)
% 0.85/0.87 | ~ hBOOL(hAPP(V_S,V_x)) ) ).
% 0.85/0.87
% 0.85/0.87 cnf(cls_mem__def_0,axiom,
% 0.85/0.87 ( hBOOL(hAPP(V_S,V_x))
% 0.85/0.87 | ~ c_in(V_x,V_S,T_a) ) ).
% 0.85/0.87
% 0.85/0.87 cnf(cls_msg_Osimps_I36_J_0,axiom,
% 0.85/0.87 c_Message_Omsg_ONonce(V_nat) != c_Message_Omsg_OCrypt(V_nat_H,V_msg_H) ).
% 0.85/0.87
% 0.85/0.87 cnf(cls_msg_Osimps_I7_J_0,axiom,
% 0.85/0.87 ( c_Message_Omsg_OCrypt(V_nat,V_msg) != c_Message_Omsg_OCrypt(V_nat_H,V_msg_H)
% 0.85/0.87 | V_nat = V_nat_H ) ).
% 0.85/0.87
% 0.85/0.87 cnf(cls_msg_Osimps_I7_J_1,axiom,
% 0.85/0.87 ( c_Message_Omsg_OCrypt(V_nat,V_msg) != c_Message_Omsg_OCrypt(V_nat_H,V_msg_H)
% 0.85/0.87 | V_msg = V_msg_H ) ).
% 0.85/0.87
% 0.85/0.87 cnf(cls_msg_Osimps_I10_J_0,axiom,
% 0.85/0.87 c_Message_Omsg_OAgent(V_agent) != c_Message_Omsg_ONonce(V_nat_H) ).
% 0.85/0.87
% 0.85/0.87 cnf(cls_msg_Osimps_I6_J_0,axiom,
% 0.85/0.87 ( c_Message_Omsg_OMPair(V_msg1,V_msg2) != c_Message_Omsg_OMPair(V_msg1_H,V_msg2_H)
% 0.85/0.87 | V_msg1 = V_msg1_H ) ).
% 0.85/0.87
% 0.85/0.87 cnf(cls_msg_Osimps_I6_J_1,axiom,
% 0.85/0.87 ( c_Message_Omsg_OMPair(V_msg1,V_msg2) != c_Message_Omsg_OMPair(V_msg1_H,V_msg2_H)
% 0.85/0.87 | V_msg2 = V_msg2_H ) ).
% 0.85/0.87
% 0.85/0.87 cnf(cls_Crypt__Spy__analz__bad_0,axiom,
% 0.85/0.87 ( c_in(V_X,c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,V_evs)),tc_Message_Omsg)
% 0.85/0.87 | ~ c_in(V_A,c_Event_Obad,tc_Message_Oagent)
% 0.85/0.87 | ~ 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) ) ).
% 0.85/0.87
% 0.85/0.87 cnf(cls_msg_Osimps_I35_J_0,axiom,
% 0.85/0.87 c_Message_Omsg_OMPair(V_msg1_H,V_msg2_H) != c_Message_Omsg_ONonce(V_nat) ).
% 0.85/0.87
% 0.85/0.87 cnf(cls_msg_Osimps_I49_J_0,axiom,
% 0.85/0.87 c_Message_Omsg_OCrypt(V_nat_H,V_msg_H) != c_Message_Omsg_OMPair(V_msg1,V_msg2) ).
% 0.85/0.87
% 0.85/0.87 cnf(cls_msg_Osimps_I40_J_0,axiom,
% 0.85/0.87 hAPP(c_Message_Omsg_OKey,V_nat) != c_Message_Omsg_OMPair(V_msg1_H,V_msg2_H) ).
% 0.85/0.87
% 0.85/0.87 cnf(cls_msg_Osimps_I41_J_0,axiom,
% 0.85/0.87 c_Message_Omsg_OMPair(V_msg1_H,V_msg2_H) != hAPP(c_Message_Omsg_OKey,V_nat) ).
% 0.85/0.87
% 0.85/0.87 cnf(cls_msg_Osimps_I42_J_0,axiom,
% 0.85/0.87 hAPP(c_Message_Omsg_OKey,V_nat) != c_Message_Omsg_OCrypt(V_nat_H,V_msg_H) ).
% 0.85/0.87
% 0.85/0.87 cnf(cls_shrK__injective_0,axiom,
% 0.85/0.87 ( hAPP(c_Public_OshrK,V_x) != hAPP(c_Public_OshrK,V_y)
% 0.85/0.87 | V_x = V_y ) ).
% 0.85/0.87
% 0.85/0.87 cnf(cls_not__parts__not__analz_0,axiom,
% 0.85/0.87 ( ~ c_in(V_c,c_Message_Oanalz(V_H),tc_Message_Omsg)
% 0.85/0.87 | c_in(V_c,c_Message_Oparts(V_H),tc_Message_Omsg) ) ).
% 0.85/0.87
% 0.85/0.87 cnf(cls_analz__into__parts_0,axiom,
% 0.85/0.87 ( c_in(V_c,c_Message_Oparts(V_H),tc_Message_Omsg)
% 0.85/0.87 | ~ c_in(V_c,c_Message_Oanalz(V_H),tc_Message_Omsg) ) ).
% 0.85/0.87
% 0.85/0.87 cnf(cls_analz__conj__parts_0,axiom,
% 0.85/0.87 ( c_in(V_X,c_Message_Oparts(V_H),tc_Message_Omsg)
% 0.85/0.87 | ~ c_in(V_X,c_Message_Oanalz(V_H),tc_Message_Omsg) ) ).
% 0.85/0.87
% 0.85/0.87 cnf(cls_conjecture_0,negated_conjecture,
% 0.85/0.87 ~ c_in(v_A,c_Event_Obad,tc_Message_Oagent) ).
% 0.85/0.87
% 0.85/0.87 cnf(cls_conjecture_1,negated_conjecture,
% 0.85/0.87 ~ c_in(v_B,c_Event_Obad,tc_Message_Oagent) ).
% 0.85/0.87
% 0.85/0.87 cnf(cls_conjecture_2,negated_conjecture,
% 0.85/0.87 ~ c_in(hAPP(c_Message_Omsg_OKey,v_K),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,c_List_Olist_ONil(tc_Event_Oevent))),tc_Message_Omsg) ).
% 0.85/0.87
% 0.85/0.87 cnf(cls_conjecture_3,negated_conjecture,
% 0.85/0.87 c_in(c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,v_A),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NA),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_B),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,v_K),v_X)))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,c_List_Olist_ONil(tc_Event_Oevent))),tc_Message_Omsg) ).
% 0.85/0.87
% 0.85/0.87 cnf(cls_conjecture_4,negated_conjecture,
% 0.85/0.87 c_in(c_Message_Omsg_OCrypt(v_K,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),c_Message_Omsg_ONonce(v_NB))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,c_List_Olist_ONil(tc_Event_Oevent))),tc_Message_Omsg) ).
% 0.85/0.87
% 0.85/0.87 cnf(cls_conjecture_5,negated_conjecture,
% 0.85/0.87 ~ c_in(c_Event_Oevent_OSays(v_A,v_B,c_Message_Omsg_OCrypt(v_K,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),c_Message_Omsg_ONonce(v_NB)))),c_List_Oset(c_List_Olist_ONil(tc_Event_Oevent),tc_Event_Oevent),tc_Event_Oevent) ).
% 0.85/0.87
% 0.85/0.87 cnf(clsarity_fun__Lattices_Oupper__semilattice,axiom,
% 0.85/0.87 ( class_Lattices_Oupper__semilattice(tc_fun(T_2,T_1))
% 0.85/0.87 | ~ class_Lattices_Olattice(T_1) ) ).
% 0.85/0.87
% 0.85/0.87 cnf(clsarity_fun__Lattices_Obounded__lattice,axiom,
% 0.85/0.87 ( class_Lattices_Obounded__lattice(tc_fun(T_2,T_1))
% 0.85/0.87 | ~ class_Lattices_Obounded__lattice(T_1) ) ).
% 0.85/0.87
% 0.85/0.87 cnf(clsarity_fun__Lattices_Oboolean__algebra,axiom,
% 0.85/0.87 ( class_Lattices_Oboolean__algebra(tc_fun(T_2,T_1))
% 0.85/0.87 | ~ class_Lattices_Oboolean__algebra(T_1) ) ).
% 0.85/0.87
% 0.85/0.87 cnf(clsarity_fun__Orderings_Opreorder,axiom,
% 0.85/0.87 ( class_Orderings_Opreorder(tc_fun(T_2,T_1))
% 0.85/0.87 | ~ class_Orderings_Opreorder(T_1) ) ).
% 0.85/0.87
% 0.85/0.87 cnf(clsarity_fun__Lattices_Olattice,axiom,
% 0.85/0.87 ( class_Lattices_Olattice(tc_fun(T_2,T_1))
% 0.85/0.87 | ~ class_Lattices_Olattice(T_1) ) ).
% 0.85/0.87
% 0.85/0.87 cnf(clsarity_fun__Orderings_Oorder,axiom,
% 0.85/0.87 ( class_Orderings_Oorder(tc_fun(T_2,T_1))
% 0.85/0.87 | ~ class_Orderings_Oorder(T_1) ) ).
% 0.85/0.87
% 0.85/0.87 cnf(clsarity_fun__Orderings_Otop,axiom,
% 0.85/0.87 ( class_Orderings_Otop(tc_fun(T_2,T_1))
% 0.85/0.87 | ~ class_Orderings_Otop(T_1) ) ).
% 0.85/0.87
% 0.85/0.87 cnf(clsarity_fun__Orderings_Obot,axiom,
% 0.85/0.87 ( class_Orderings_Obot(tc_fun(T_2,T_1))
% 0.85/0.87 | ~ class_Orderings_Obot(T_1) ) ).
% 0.85/0.87
% 0.85/0.87 cnf(clsarity_fun__HOL_Oord,axiom,
% 0.85/0.87 ( class_HOL_Oord(tc_fun(T_2,T_1))
% 0.85/0.87 | ~ class_HOL_Oord(T_1) ) ).
% 0.85/0.87
% 0.85/0.87 cnf(clsarity_nat__Lattices_Oupper__semilattice,axiom,
% 0.85/0.87 class_Lattices_Oupper__semilattice(tc_nat) ).
% 0.85/0.87
% 0.85/0.87 cnf(clsarity_nat__Orderings_Opreorder,axiom,
% 0.85/0.87 class_Orderings_Opreorder(tc_nat) ).
% 0.85/0.87
% 0.85/0.87 cnf(clsarity_nat__Orderings_Olinorder,axiom,
% 0.85/0.87 class_Orderings_Olinorder(tc_nat) ).
% 0.85/0.87
% 0.85/0.87 cnf(clsarity_nat__Lattices_Olattice,axiom,
% 0.85/0.87 class_Lattices_Olattice(tc_nat) ).
% 0.85/0.87
% 0.85/0.87 cnf(clsarity_nat__Orderings_Oorder,axiom,
% 0.85/0.87 class_Orderings_Oorder(tc_nat) ).
% 0.85/0.87
% 0.85/0.87 cnf(clsarity_nat__Orderings_Obot,axiom,
% 0.85/0.87 class_Orderings_Obot(tc_nat) ).
% 0.85/0.87
% 0.85/0.87 cnf(clsarity_nat__HOL_Oord,axiom,
% 0.85/0.87 class_HOL_Oord(tc_nat) ).
% 0.85/0.87
% 0.85/0.87 cnf(clsarity_bool__Lattices_Oupper__semilattice,axiom,
% 0.85/0.87 class_Lattices_Oupper__semilattice(tc_bool) ).
% 0.85/0.87
% 0.85/0.87 cnf(clsarity_bool__Lattices_Obounded__lattice,axiom,
% 0.85/0.87 class_Lattices_Obounded__lattice(tc_bool) ).
% 0.85/0.87
% 0.85/0.87 cnf(clsarity_bool__Lattices_Oboolean__algebra,axiom,
% 0.85/0.87 class_Lattices_Oboolean__algebra(tc_bool) ).
% 0.85/0.87
% 0.85/0.87 cnf(clsarity_bool__Orderings_Opreorder,axiom,
% 0.85/0.87 class_Orderings_Opreorder(tc_bool) ).
% 0.85/0.87
% 0.85/0.87 cnf(clsarity_bool__Lattices_Olattice,axiom,
% 0.85/0.87 class_Lattices_Olattice(tc_bool) ).
% 0.85/0.87
% 0.85/0.87 cnf(clsarity_bool__Orderings_Oorder,axiom,
% 0.85/0.87 class_Orderings_Oorder(tc_bool) ).
% 0.85/0.87
% 0.85/0.87 cnf(clsarity_bool__Orderings_Otop,axiom,
% 0.85/0.87 class_Orderings_Otop(tc_bool) ).
% 0.85/0.87
% 0.85/0.87 cnf(clsarity_bool__Orderings_Obot,axiom,
% 0.85/0.87 class_Orderings_Obot(tc_bool) ).
% 0.85/0.87
% 0.85/0.87 cnf(clsarity_bool__HOL_Oord,axiom,
% 0.85/0.87 class_HOL_Oord(tc_bool) ).
% 0.85/0.87
% 0.85/0.87 cnf(cls_ATP__Linkup_Oequal__imp__fequal_0,axiom,
% 0.85/0.87 c_fequal(V_x,V_x,T_a) ).
% 0.85/0.87
% 0.85/0.87 cnf(cls_ATP__Linkup_Ofequal__imp__equal_0,axiom,
% 0.85/0.87 ( V_X = V_Y
% 0.85/0.87 | ~ c_fequal(V_X,V_Y,T_a) ) ).
% 0.85/0.87
% 0.85/0.87 %------------------------------------------------------------------------------
% 0.85/0.87 %-------------------------------------------
% 0.85/0.87 % Proof found
% 0.85/0.87 % SZS status Theorem for theBenchmark
% 0.85/0.87 % SZS output start Proof
% 0.85/0.87 %ClaNum:748(EqnAxiom:117)
% 0.85/0.87 %VarNum:3195(SingletonVarNum:1540)
% 0.85/0.87 %MaxLitNum:7
% 0.85/0.87 %MaxfuncDepth:9
% 0.85/0.87 %SharedTerms:112
% 0.85/0.87 %goalClause: 214 289 337 338 364 369
% 0.85/0.87 %singleGoalClaCount:6
% 0.85/0.87 [118]P1(a1)
% 0.85/0.87 [119]P9(a1)
% 0.85/0.87 [120]P9(a47)
% 0.85/0.87 [121]P2(a1)
% 0.85/0.87 [122]P14(a1)
% 0.85/0.87 [123]P14(a47)
% 0.85/0.87 [124]P10(a1)
% 0.85/0.87 [125]P10(a47)
% 0.85/0.87 [126]P16(a1)
% 0.85/0.87 [127]P17(a1)
% 0.85/0.87 [128]P17(a47)
% 0.85/0.87 [129]P15(a47)
% 0.85/0.87 [130]P11(a1)
% 0.85/0.87 [131]P11(a47)
% 0.85/0.87 [132]P3(a1)
% 0.85/0.87 [133]P3(a47)
% 0.85/0.87 [144]P6(a20,a4,a44)
% 0.85/0.87 [299]~E(a41,a40)
% 0.85/0.87 [301]~E(a21,a20)
% 0.85/0.87 [336]~P6(a21,a4,a44)
% 0.85/0.87 [337]~P6(a50,a4,a44)
% 0.85/0.87 [338]~P6(a51,a4,a44)
% 0.85/0.87 [134]P4(f3(a2))
% 0.85/0.87 [146]P6(f3(a2),a36,f45(a2))
% 0.85/0.87 [296]E(f6(f6(f6(f42(f34(a30,f34(a24,f34(f39(a40),a21))),f42(f34(a30,f34(a24,f34(f39(a41),a21))),f35(f48(a46,a1)),a46),a46),f43(a30,f43(f39(a40),f38(f48(a44,a1)),a44,a47),a47,a46),f48(a46,a1)),f43(a30,f43(f39(a41),f38(f48(a44,a1)),a44,a47),a47,a46),f48(a46,a1)),f43(a30,f43(a37,f38(f48(a44,a1)),a44,a47),a47,a46),f48(a46,a1)),f8(a21,f3(a2)))
% 0.85/0.87 [297]E(f6(f6(f6(f6(f43(a30,f43(a24,f43(f39(a40),a4,a44,a47),a47,a47),a47,a46),f43(a30,f43(a24,f43(f39(a41),a4,a44,a47),a47,a47),a47,a46),f48(a46,a1)),f43(a30,f43(a37,a4,a44,a47),a47,a46),f48(a46,a1)),f43(a30,f43(f39(a40),f38(f48(a44,a1)),a44,a47),a47,a46),f48(a46,a1)),f43(a30,f43(f39(a41),f38(f48(a44,a1)),a44,a47),a47,a46),f48(a46,a1)),f8(a20,f3(a2)))
% 0.85/0.87 [156]E(f17(f35(f48(a46,a1))),f35(f48(a46,a1)))
% 0.85/0.87 [157]E(f18(f35(f48(a46,a1))),f35(f48(a46,a1)))
% 0.85/0.87 [214]P6(f28(a49,f31(f29(a52),f29(a52))),f17(f8(a20,f3(a2))),a46)
% 0.85/0.87 [364]~P6(f34(a30,a49),f18(f8(a20,f3(a2))),a46)
% 0.85/0.87 [369]~P6(f11(a50,a51,f28(a49,f31(f29(a52),f29(a52)))),f19(f3(a2),a2),a2)
% 0.85/0.87 [289]P6(f28(f34(a37,a50),f31(f29(a53),f31(f25(a51),f31(f34(a30,a49),a54)))),f17(f8(a20,f3(a2))),a46)
% 0.85/0.87 [158]P6(f34(a37,x1581),a33,a47)
% 0.85/0.87 [162]P8(x1621,f17(x1621),f48(a46,a1))
% 0.85/0.87 [163]P8(x1631,f18(x1631),f48(a46,a1))
% 0.85/0.87 [164]P8(x1641,f32(x1641),f48(a46,a1))
% 0.85/0.87 [165]P8(f18(x1651),f17(x1651),f48(a46,a1))
% 0.85/0.87 [135]E(f17(f17(x1351)),f17(x1351))
% 0.85/0.87 [136]E(f17(f18(x1361)),f17(x1361))
% 0.85/0.87 [137]E(f18(f17(x1371)),f17(x1371))
% 0.85/0.87 [138]E(f18(f18(x1381)),f18(x1381))
% 0.85/0.87 [139]E(f32(f32(x1391)),f32(x1391))
% 0.85/0.87 [140]E(f34(a24,f34(a24,x1401)),x1401)
% 0.85/0.87 [141]E(f19(f3(x1411),x1411),f35(f48(x1411,a1)))
% 0.85/0.87 [142]E(f35(f48(x1421,a1)),f19(f3(x1421),x1421))
% 0.85/0.87 [143]E(f34(a24,f34(a37,x1431)),f34(a37,x1431))
% 0.85/0.87 [166]P8(f7(f3(a2)),f7(x1661),f48(a46,a1))
% 0.85/0.87 [167]E(f6(f17(x1671),f32(x1671),f48(a46,a1)),f17(f32(x1671)))
% 0.85/0.87 [168]E(f6(f18(x1681),f32(x1681),f48(a46,a1)),f18(f32(x1681)))
% 0.85/0.87 [171]E(f15(f35(f48(x1711,a1)),f48(x1711,a1)),f38(f48(x1711,a1)))
% 0.85/0.87 [172]E(f15(f38(f48(x1721,a1)),f48(x1721,a1)),f35(f48(x1721,a1)))
% 0.85/0.87 [182]P8(f17(f8(a20,x1821)),f7(x1821),f48(a46,a1))
% 0.85/0.87 [281]E(f17(f43(a30,x2811,a47,a46)),f43(a30,x2811,a47,a46))
% 0.85/0.87 [282]E(f18(f43(a30,x2821,a47,a46)),f43(a30,x2821,a47,a46))
% 0.85/0.87 [339]~E(f38(f48(x3391,a1)),f35(f48(x3391,a1)))
% 0.85/0.87 [354]~P6(f29(x3541),f7(f3(a2)),a46)
% 0.85/0.87 [367]~P6(x3671,f17(f35(f48(a46,a1))),a46)
% 0.85/0.87 [145]P7(x1451,x1451,x1452)
% 0.85/0.87 [153]P6(f25(x1531),f32(x1532),a46)
% 0.85/0.87 [160]P8(x1601,x1601,f48(x1602,a1))
% 0.85/0.87 [303]~E(f29(x3031),f27(x3032))
% 0.85/0.87 [306]~E(f25(x3061),f27(x3062))
% 0.85/0.87 [307]~E(f25(x3071),f29(x3072))
% 0.85/0.87 [308]~E(f27(x3081),f34(a30,x3082))
% 0.85/0.87 [309]~E(f29(x3091),f34(a30,x3092))
% 0.85/0.87 [310]~E(f25(x3101),f34(a30,x3102))
% 0.85/0.87 [311]~E(f34(a30,x3111),f27(x3112))
% 0.85/0.87 [312]~E(f34(a30,x3121),f29(x3122))
% 0.85/0.87 [313]~E(f34(a30,x3131),f25(x3132))
% 0.85/0.87 [370]~P6(f27(x3701),f43(a30,x3702,a47,a46),a46)
% 0.85/0.87 [371]~P6(f29(x3711),f43(a30,x3712,a47,a46),a46)
% 0.85/0.87 [150]E(f5(x1501,f3(x1502),x1502),x1501)
% 0.85/0.87 [151]E(f5(f3(x1511),x1512,x1511),x1512)
% 0.85/0.87 [161]E(f6(x1611,x1611,f48(x1612,a1)),x1611)
% 0.85/0.87 [169]P6(x1691,f38(f48(x1692,a1)),x1692)
% 0.85/0.87 [170]E(f15(f15(x1701,f48(x1702,a1)),f48(x1702,a1)),x1701)
% 0.85/0.87 [177]P6(f34(a30,f34(a37,x1771)),f7(x1772),a46)
% 0.85/0.87 [178]P8(x1781,f38(f48(x1782,a1)),f48(x1782,a1))
% 0.85/0.87 [179]P8(f35(f48(x1791,a1)),x1792,f48(x1791,a1))
% 0.85/0.87 [180]E(f6(x1801,f35(f48(x1802,a1)),f48(x1802,a1)),x1801)
% 0.85/0.87 [181]E(f6(f35(f48(x1811,a1)),x1812,f48(x1811,a1)),x1812)
% 0.85/0.87 [183]P8(f8(x1831,f3(a2)),f8(x1831,x1832),f48(a46,a1))
% 0.85/0.87 [185]P6(f34(a30,f34(a37,x1851)),f8(x1851,x1852),a46)
% 0.85/0.87 [188]E(f6(x1881,f38(f48(x1882,a1)),f48(x1882,a1)),f38(f48(x1882,a1)))
% 0.85/0.87 [189]E(f6(f38(f48(x1891,a1)),x1892,f48(x1891,a1)),f38(f48(x1891,a1)))
% 0.85/0.87 [198]E(f6(x1981,f15(x1981,f48(x1982,a1)),f48(x1982,a1)),f38(f48(x1982,a1)))
% 0.85/0.87 [199]E(f6(f15(x1991,f48(x1992,a1)),x1991,f48(x1992,a1)),f38(f48(x1992,a1)))
% 0.85/0.87 [249]P8(f42(x2491,f17(x2492),a46),f17(f42(x2491,x2492,a46)),f48(a46,a1))
% 0.85/0.87 [250]P8(f42(x2501,f18(x2502),a46),f18(f42(x2501,x2502,a46)),f48(a46,a1))
% 0.85/0.87 [251]P8(f42(x2511,f32(x2512),a46),f32(f42(x2511,x2512,a46)),f48(a46,a1))
% 0.85/0.87 [275]E(f6(f17(f42(x2751,f35(f48(a46,a1)),a46)),f17(x2752),f48(a46,a1)),f17(f42(x2751,x2752,a46)))
% 0.85/0.87 [357]~P6(f34(f39(x3571),x3572),a33,a47)
% 0.85/0.87 [358]~P6(f28(x3581,x3582),f7(f3(a2)),a46)
% 0.85/0.87 [361]~P6(x3611,f35(f48(x3612,a1)),x3612)
% 0.85/0.87 [173]E(f26(f42(f27(x1731),x1732,a46)),f26(x1732))
% 0.85/0.87 [174]E(f26(f42(f29(x1741),x1742,a46)),f26(x1742))
% 0.85/0.87 [175]E(f26(f42(f25(x1751),x1752,a46)),f26(x1752))
% 0.85/0.87 [184]P18(f34(f38(f48(x1841,a1)),x1842))
% 0.85/0.87 [190]E(f26(f42(f34(a30,x1901),x1902,a46)),f26(x1902))
% 0.85/0.87 [204]E(f17(f42(f27(x2041),x2042,a46)),f42(f27(x2041),f17(x2042),a46))
% 0.85/0.87 [205]E(f17(f42(f29(x2051),x2052,a46)),f42(f29(x2051),f17(x2052),a46))
% 0.85/0.87 [206]E(f17(f42(f25(x2061),x2062,a46)),f42(f25(x2061),f17(x2062),a46))
% 0.85/0.87 [207]E(f18(f42(f27(x2071),x2072,a46)),f42(f27(x2071),f18(x2072),a46))
% 0.85/0.87 [208]E(f18(f42(f29(x2081),x2082,a46)),f42(f29(x2081),f18(x2082),a46))
% 0.85/0.87 [209]E(f18(f42(f25(x2091),x2092,a46)),f42(f25(x2091),f18(x2092),a46))
% 0.85/0.87 [219]E(f17(f42(f34(a30,x2191),x2192,a46)),f42(f34(a30,x2191),f17(x2192),a46))
% 0.85/0.87 [220]E(f6(f17(x2201),f17(x2202),f48(a46,a1)),f17(f6(x2201,x2202,f48(a46,a1))))
% 0.85/0.87 [229]E(f18(f6(f18(x2291),x2292,f48(a46,a1))),f18(f6(x2291,x2292,f48(a46,a1))))
% 0.85/0.87 [270]E(f6(f18(f6(x2701,x2702,f48(a46,a1))),f32(x2701),f48(a46,a1)),f18(f6(f32(x2701),x2702,f48(a46,a1))))
% 0.85/0.87 [271]P8(f17(f6(x2711,x2712,f48(a46,a1))),f6(f17(x2711),f17(x2712),f48(a46,a1)),f48(a46,a1))
% 0.85/0.87 [272]P8(f6(f17(x2721),f17(x2722),f48(a46,a1)),f17(f6(x2721,x2722,f48(a46,a1))),f48(a46,a1))
% 0.85/0.87 [273]P8(f6(f18(x2731),f18(x2732),f48(a46,a1)),f18(f6(x2731,x2732,f48(a46,a1))),f48(a46,a1))
% 0.85/0.87 [274]P8(f6(f32(x2741),f32(x2742),f48(a46,a1)),f32(f6(x2741,x2742,f48(a46,a1))),f48(a46,a1))
% 0.85/0.87 [362]~P6(f29(x3621),f17(f8(x3622,f3(a2))),a46)
% 0.85/0.87 [363]~P18(f34(f35(f48(x3631,a1)),x3632))
% 0.85/0.87 [368]~P6(f34(a24,f34(f39(x3681),x3682)),a33,a47)
% 0.85/0.87 [227]P6(f34(a30,f34(a24,f34(f39(x2271),x2272))),f8(x2272,f3(a2)),a46)
% 0.85/0.87 [194]P6(x1941,f42(x1941,x1942,x1943),x1943)
% 0.85/0.87 [202]P8(x2021,f42(x2022,x2021,x2023),f48(x2023,a1))
% 0.85/0.87 [314]~E(f27(x3141),f28(x3142,x3143))
% 0.85/0.87 [315]~E(f27(x3151),f31(x3152,x3153))
% 0.85/0.87 [316]~E(f29(x3161),f28(x3162,x3163))
% 0.85/0.87 [317]~E(f29(x3171),f31(x3172,x3173))
% 0.85/0.87 [318]~E(f25(x3181),f28(x3182,x3183))
% 0.85/0.87 [319]~E(f25(x3191),f31(x3192,x3193))
% 0.85/0.87 [320]~E(f28(x3201,x3202),f27(x3203))
% 0.85/0.87 [321]~E(f28(x3211,x3212),f29(x3213))
% 0.85/0.87 [322]~E(f28(x3221,x3222),f25(x3223))
% 0.85/0.87 [323]~E(f31(x3231,x3232),f27(x3233))
% 0.85/0.87 [324]~E(f31(x3241,x3242),f29(x3243))
% 0.85/0.87 [325]~E(f31(x3251,x3252),f25(x3253))
% 0.85/0.87 [326]~E(f28(x3261,x3262),f34(a30,x3263))
% 0.85/0.87 [327]~E(f31(x3271,x3272),f34(a30,x3273))
% 0.85/0.87 [328]~E(f34(a30,x3281),f28(x3282,x3283))
% 0.85/0.87 [329]~E(f34(a30,x3291),f31(x3292,x3293))
% 0.85/0.87 [341]~E(f16(x3411,x3412,x3413),x3412)
% 0.85/0.87 [345]~E(f16(x3451,x3452,x3453),f3(x3453))
% 0.85/0.87 [372]~P6(f28(x3721,x3722),f43(a30,x3723,a47,a46),a46)
% 0.85/0.87 [187]E(f6(x1871,x1872,f48(x1873,a1)),f6(x1872,x1871,f48(x1873,a1)))
% 0.85/0.87 [210]E(f42(x2101,f19(x2102,x2103),x2103),f19(f16(x2101,x2102,x2103),x2103))
% 0.85/0.87 [213]E(f42(x2131,f42(x2131,x2132,x2133),x2133),f42(x2131,x2132,x2133))
% 0.85/0.87 [217]P8(x2171,f6(x2172,x2171,f48(x2173,a1)),f48(x2173,a1))
% 0.85/0.87 [218]P8(x2181,f6(x2181,x2182,f48(x2183,a1)),f48(x2183,a1))
% 0.85/0.87 [221]P18(f34(f42(x2211,x2212,x2213),x2211))
% 0.85/0.87 [223]E(f6(f19(x2231,x2232),f19(x2233,x2232),f48(x2232,a1)),f19(f5(x2231,x2233,x2232),x2232))
% 0.85/0.87 [228]E(f6(x2281,f6(x2281,x2282,f48(x2283,a1)),f48(x2283,a1)),f6(x2281,x2282,f48(x2283,a1)))
% 0.85/0.87 [241]P8(f8(x2411,x2412),f8(x2411,f16(x2413,x2412,a2)),f48(a46,a1))
% 0.85/0.87 [242]E(f6(f42(x2421,f35(f48(x2422,a1)),x2422),x2423,f48(x2422,a1)),f42(x2421,x2423,x2422))
% 0.85/0.87 [243]P8(f19(x2431,x2432),f19(f16(x2433,x2431,x2432),x2432),f48(x2432,a1))
% 0.85/0.87 [334]~E(f34(a37,x3341),f34(f39(x3342),x3343))
% 0.85/0.87 [335]~E(f34(f39(x3351),x3352),f34(a37,x3353))
% 0.85/0.87 [355]~E(f42(x3551,x3552,x3553),f35(f48(x3553,a1)))
% 0.85/0.87 [356]~E(f35(f48(x3561,a1)),f42(x3562,x3563,x3561))
% 0.85/0.87 [373]~P6(f34(a37,x3731),f43(f39(x3732),x3733,a44,a47),a47)
% 0.85/0.87 [374]~P6(f34(f39(x3741),x3742),f43(a37,x3743,a44,a47),a47)
% 0.85/0.87 [191]P6(f34(a30,f34(f39(x1911),x1912)),f7(x1913),a46)
% 0.85/0.87 [195]E(f7(f16(f9(x1951,x1952),x1953,a2)),f7(x1953))
% 0.85/0.87 [196]E(f26(f42(f31(x1961,x1962),x1963,a46)),f26(x1963))
% 0.85/0.87 [197]P6(f34(a30,f34(f39(x1971),x1972)),f8(a20,x1973),a46)
% 0.85/0.87 [200]E(f8(a20,f16(f9(x2001,x2002),x2003,a2)),f8(a20,x2003))
% 0.85/0.87 [203]P6(f34(a30,f34(f39(x2031),x2032)),f8(x2033,f3(a2)),a46)
% 0.85/0.87 [211]P6(f34(a30,f34(f39(x2111),x2112)),f18(f8(a20,x2113)),a46)
% 0.85/0.87 [222]E(f8(x2221,f16(f10(x2221,x2222),x2223,a2)),f42(x2222,f8(x2221,x2223),a46))
% 0.85/0.87 [240]E(f43(x2401,f35(f48(x2402,a1)),x2402,x2403),f35(f48(x2403,a1)))
% 0.85/0.87 [262]E(f42(f28(x2621,x2622),f17(f42(x2622,x2623,a46)),a46),f17(f42(f28(x2621,x2622),x2623,a46)))
% 0.85/0.87 [276]E(f7(f16(f10(x2761,x2762),x2763,a2)),f6(f17(f42(x2762,f35(f48(a46,a1)),a46)),f7(x2763),f48(a46,a1)))
% 0.85/0.87 [292]P8(f18(f42(f28(x2921,x2922),x2923,a46)),f42(f28(x2921,x2922),f18(f42(x2922,x2923,a46)),a46),f48(a46,a1))
% 0.85/0.87 [295]E(f6(f6(f17(f42(x2951,f35(f48(a46,a1)),a46)),f17(f42(x2952,f35(f48(a46,a1)),a46)),f48(a46,a1)),f17(x2953),f48(a46,a1)),f17(f42(x2951,f42(x2952,x2953,a46),a46)))
% 0.85/0.87 [346]~E(f34(a37,x3461),f34(a24,f34(f39(x3462),x3463)))
% 0.85/0.87 [347]~E(f34(a24,f34(f39(x3471),x3472)),f34(a37,x3473))
% 0.85/0.87 [366]~P6(f28(x3661,x3662),f17(f8(x3663,f3(a2))),a46)
% 0.85/0.87 [375]~P6(f34(a24,f34(f39(x3751),x3752)),f43(a37,x3753,a44,a47),a47)
% 0.85/0.87 [377]~P6(f34(a37,x3771),f43(a24,f43(f39(x3772),x3773,a44,a47),a47,a47),a47)
% 0.85/0.87 [225]P6(f34(a30,f34(a24,f34(f39(x2251),x2252))),f7(x2253),a46)
% 0.85/0.87 [261]E(f8(a20,f5(x2611,f16(f9(x2612,x2613),f3(a2),a2),a2)),f8(a20,x2611))
% 0.85/0.87 [287]E(f42(f31(x2871,x2872),f17(f42(x2871,f42(x2872,x2873,a46),a46)),a46),f17(f42(f31(x2871,x2872),x2873,a46)))
% 0.85/0.87 [288]E(f42(f31(x2881,x2882),f18(f42(x2881,f42(x2882,x2883,a46),a46)),a46),f18(f42(f31(x2881,x2882),x2883,a46)))
% 0.85/0.87 [331]~E(f31(x3311,x3312),f28(x3313,x3314))
% 0.85/0.87 [333]~E(f9(x3331,x3332),f10(x3333,x3334))
% 0.85/0.87 [230]E(f42(x2301,f42(x2302,x2303,x2304),x2304),f42(x2302,f42(x2301,x2303,x2304),x2304))
% 0.85/0.87 [236]E(f16(x2361,f5(x2362,x2363,x2364),x2364),f5(f16(x2361,x2362,x2364),x2363,x2364))
% 0.85/0.87 [238]E(f5(f5(x2381,x2382,x2383),x2384,x2383),f5(x2381,f5(x2382,x2384,x2383),x2383))
% 0.85/0.87 [263]E(f6(x2631,f6(x2632,x2633,f48(x2634,a1)),f48(x2634,a1)),f6(x2632,f6(x2631,x2633,f48(x2634,a1)),f48(x2634,a1)))
% 0.85/0.87 [265]E(f6(f6(x2651,x2652,f48(x2653,a1)),x2654,f48(x2653,a1)),f6(x2651,f6(x2652,x2654,f48(x2653,a1)),f48(x2653,a1)))
% 0.85/0.87 [244]E(f42(x2441,f6(x2442,x2443,f48(x2444,a1)),x2444),f6(x2442,f42(x2441,x2443,x2444),f48(x2444,a1)))
% 0.85/0.87 [245]E(f42(x2451,f6(x2452,x2453,f48(x2454,a1)),x2454),f6(f42(x2451,x2452,x2454),x2453,f48(x2454,a1)))
% 0.85/0.87 [252]E(f8(a20,f16(f11(x2521,x2522,x2523),x2524,a2)),f42(x2523,f8(a20,x2524),a46))
% 0.85/0.87 [256]E(f8(x2561,f16(f11(x2561,x2562,x2563),x2564,a2)),f42(x2563,f8(x2561,x2564),a46))
% 0.85/0.87 [278]P6(f34(x2781,x2782),f43(x2781,f38(f48(x2783,a1)),x2783,x2784),x2784)
% 0.85/0.87 [280]P6(x2801,f19(f5(x2802,f16(x2801,x2803,x2804),x2804),x2804),x2804)
% 0.85/0.87 [285]E(f7(f16(f11(x2851,x2852,x2853),x2854,a2)),f6(f17(f42(x2853,f35(f48(a46,a1)),a46)),f7(x2854),f48(a46,a1)))
% 0.85/0.87 [352]~E(f34(f39(x3521),x3522),f34(a24,f34(f39(x3523),x3524)))
% 0.85/0.87 [353]~E(f34(a24,f34(f39(x3531),x3532)),f34(f39(x3533),x3534))
% 0.85/0.87 [376]~P6(f34(a24,f34(f39(x3761),x3762)),f43(f39(x3763),x3764,a44,a47),a47)
% 0.85/0.87 [378]~P6(f34(f39(x3781),x3782),f43(a24,f43(f39(x3783),x3784,a44,a47),a47,a47),a47)
% 0.85/0.87 [286]E(f8(a20,f5(x2861,f16(f11(x2862,x2863,x2864),f3(a2),a2),a2)),f42(x2864,f8(a20,x2861),a46))
% 0.85/0.87 [348]~E(f10(x3481,x3482),f11(x3483,x3484,x3485))
% 0.85/0.87 [349]~E(f9(x3491,x3492),f11(x3493,x3494,x3495))
% 0.85/0.87 [350]~E(f11(x3501,x3502,x3503),f10(x3504,x3505))
% 0.85/0.87 [351]~E(f11(x3511,x3512,x3513),f9(x3514,x3515))
% 0.85/0.87 [290]E(f43(x2901,f42(x2902,x2903,x2904),x2904,x2905),f42(f34(x2901,x2902),f43(x2901,x2903,x2904,x2905),x2905))
% 0.85/0.87 [291]E(f42(f34(x2911,x2912),f43(x2911,x2913,x2914,x2915),x2915),f43(x2911,f42(x2912,x2913,x2914),x2914,x2915))
% 0.85/0.87 [294]E(f6(f43(x2941,x2942,x2943,x2944),f43(x2941,x2945,x2943,x2944),f48(x2944,a1)),f43(x2941,f6(x2942,x2945,f48(x2943,a1)),x2943,x2944))
% 0.85/0.87 [431]E(f34(a24,x4311),x4311)+~P6(x4311,a33,a47)
% 0.85/0.87 [455]~P6(x4551,a33,a47)+P6(f34(a24,x4551),a33,a47)
% 0.85/0.87 [464]P6(x4641,a33,a47)+~P6(f34(a24,x4641),a33,a47)
% 0.85/0.87 [382]~P2(x3821)+E(f15(f35(x3821),x3821),f38(x3821))
% 0.85/0.87 [383]~P2(x3831)+E(f15(f38(x3831),x3831),f35(x3831))
% 0.85/0.87 [411]~P14(x4112)+P8(x4111,x4111,x4112)
% 0.85/0.87 [412]~P17(x4122)+P8(x4121,x4121,x4122)
% 0.85/0.87 [379]E(x3791,x3792)+~E(f27(x3791),f27(x3792))
% 0.85/0.87 [380]E(x3801,x3802)+~E(f29(x3801),f29(x3802))
% 0.85/0.87 [381]E(x3811,x3812)+~E(f25(x3811),f25(x3812))
% 0.85/0.87 [384]~P1(x3842)+P1(f48(x3841,x3842))
% 0.85/0.87 [385]~P9(x3852)+P9(f48(x3851,x3852))
% 0.85/0.87 [386]~P2(x3862)+P2(f48(x3861,x3862))
% 0.85/0.88 [387]~P14(x3872)+P14(f48(x3871,x3872))
% 0.85/0.88 [388]~P11(x3882)+P10(f48(x3881,x3882))
% 0.85/0.88 [389]~P16(x3892)+P16(f48(x3891,x3892))
% 0.85/0.88 [390]~P17(x3902)+P17(f48(x3901,x3902))
% 0.85/0.88 [391]~P11(x3912)+P11(f48(x3911,x3912))
% 0.85/0.88 [392]~P3(x3922)+P3(f48(x3921,x3922))
% 0.85/0.88 [393]E(x3931,x3932)+~E(f34(a30,x3931),f34(a30,x3932))
% 0.85/0.88 [394]E(x3941,x3942)+~E(f34(a24,x3941),f34(a24,x3942))
% 0.85/0.88 [395]E(x3951,x3952)+~E(f34(a37,x3951),f34(a37,x3952))
% 0.85/0.88 [413]~P10(x4132)+E(f6(x4131,x4131,x4132),x4131)
% 0.85/0.88 [416]~P16(x4162)+P8(x4161,f38(x4162),x4162)
% 0.85/0.88 [417]~P9(x4171)+P8(f35(x4171),x4172,x4171)
% 0.85/0.88 [446]~P6(x4461,x4462,a46)+P6(x4461,f17(x4462),a46)
% 0.85/0.88 [447]~P6(x4471,x4472,a46)+P6(x4471,f18(x4472),a46)
% 0.85/0.88 [448]~P6(x4481,x4482,a46)+P6(x4481,f32(x4482),a46)
% 0.85/0.88 [454]~P6(x4541,f18(x4542),a46)+P6(x4541,f17(x4542),a46)
% 0.85/0.88 [456]P6(f27(x4561),f32(x4562),a46)+~P6(x4561,f32(x4562),a46)
% 0.85/0.88 [459]~P6(f29(x4591),f32(x4592),a46)+P6(f29(x4591),x4592,a46)
% 0.85/0.88 [497]~P8(x4971,x4972,f48(a46,a1))+P8(f17(x4971),f17(x4972),f48(a46,a1))
% 0.85/0.88 [498]~P8(x4981,x4982,f48(a46,a1))+P8(f18(x4981),f18(x4982),f48(a46,a1))
% 0.85/0.88 [499]~P8(x4991,x4992,f48(a46,a1))+P8(f32(x4991),f32(x4992),f48(a46,a1))
% 0.85/0.88 [500]~P8(x5001,x5002,f48(a46,a1))+P8(f26(x5001),f26(x5002),f48(a47,a1))
% 0.85/0.88 [503]~P6(f34(a30,x5031),f32(x5032),a46)+P6(f34(a30,x5031),x5032,a46)
% 0.85/0.88 [505]P8(f17(x5051),f17(x5052),f48(a46,a1))+~P8(x5051,f17(x5052),f48(a46,a1))
% 0.85/0.88 [506]P8(f18(x5061),f18(x5062),f48(a46,a1))+~P8(x5061,f18(x5062),f48(a46,a1))
% 0.85/0.88 [507]P8(f32(x5071),f32(x5072),f48(a46,a1))+~P8(x5071,f32(x5072),f48(a46,a1))
% 0.85/0.88 [513]P8(x5131,f17(x5132),f48(a46,a1))+~P8(f17(x5131),f17(x5132),f48(a46,a1))
% 0.85/0.88 [514]P8(x5141,f18(x5142),f48(a46,a1))+~P8(f18(x5141),f18(x5142),f48(a46,a1))
% 0.85/0.88 [515]P8(x5151,f32(x5152),f48(a46,a1))+~P8(f32(x5151),f32(x5152),f48(a46,a1))
% 0.85/0.88 [673]P6(x6731,x6732,a44)+~P6(f34(a37,x6731),f43(a37,x6732,a44,a47),a47)
% 0.85/0.88 [674]P6(x6741,x6742,a47)+~P6(f34(a30,x6741),f43(a30,x6742,a47,a46),a46)
% 0.85/0.88 [675]P6(x6751,x6752,a47)+~P6(f34(a24,x6751),f43(a24,x6752,a47,a47),a47)
% 0.85/0.88 [406]~P2(x4062)+E(f15(f15(x4061,x4062),x4062),x4061)
% 0.85/0.88 [408]~P12(x4082)+E(f15(f15(x4081,x4082),x4082),x4081)
% 0.85/0.88 [418]~P1(x4182)+E(f6(x4181,f35(x4182),x4182),x4181)
% 0.85/0.88 [419]~P1(x4191)+E(f6(f35(x4191),x4192,x4191),x4192)
% 0.85/0.88 [420]E(x4201,f3(x4202))+~E(f19(x4201,x4202),f35(f48(x4202,a1)))
% 0.85/0.88 [421]E(x4211,f3(x4212))+~E(f35(f48(x4212,a1)),f19(x4211,x4212))
% 0.85/0.88 [422]~P1(x4222)+E(f6(x4221,f38(x4222),x4222),f38(x4222))
% 0.85/0.88 [423]~P1(x4231)+E(f6(f38(x4231),x4232,x4231),f38(x4231))
% 0.85/0.88 [425]~P2(x4252)+E(f6(x4251,f15(x4251,x4252),x4252),f38(x4252))
% 0.85/0.88 [426]~P2(x4262)+E(f6(f15(x4261,x4262),x4261,x4262),f38(x4262))
% 0.85/0.88 [465]P6(x4651,f17(x4652),a46)+~P6(x4651,f17(f17(x4652)),a46)
% 0.85/0.88 [466]P6(x4661,f18(x4662),a46)+~P6(x4661,f18(f18(x4662)),a46)
% 0.85/0.88 [467]P6(x4671,f32(x4672),a46)+~P6(x4671,f32(f32(x4672)),a46)
% 0.85/0.88 [501]~P6(x5011,f17(x5012),a46)+E(f17(f42(x5011,x5012,a46)),f17(x5012))
% 0.85/0.88 [502]~P6(x5021,f18(x5022),a46)+E(f18(f42(x5021,x5022,a46)),f18(x5022))
% 0.85/0.88 [520]P6(x5201,f7(x5202),a46)+~P6(x5201,f17(f8(a20,x5202)),a46)
% 0.85/0.88 [523]~P6(x5231,a4,a44)+P6(f34(a30,f34(a37,x5231)),f8(a20,x5232),a46)
% 0.85/0.88 [524]~P8(x5241,x5242,f48(a46,a1))+P8(f32(f18(x5241)),f32(f18(x5242)),f48(a46,a1))
% 0.85/0.88 [527]~P8(x5271,f35(f48(x5272,a1)),f48(x5272,a1))+E(x5271,f35(f48(x5272,a1)))
% 0.85/0.88 [542]~P8(x5421,f15(x5421,f48(x5422,a1)),f48(x5422,a1))+E(x5421,f35(f48(x5422,a1)))
% 0.85/0.88 [642]P8(f17(f42(x6421,x6422,a46)),f6(f32(f18(x6422)),f17(x6422),f48(a46,a1)),f48(a46,a1))+~P6(x6421,f32(f18(x6422)),a46)
% 0.85/0.88 [565]P6(x5651,f26(f18(x5652)),a47)+E(f18(f42(f34(a30,x5651),x5652,a46)),f42(f34(a30,x5651),f18(x5652),a46))
% 0.85/0.88 [582]~P6(x5821,f32(f18(x5822)),a46)+E(f32(f18(f42(x5821,x5822,a46))),f32(f18(x5822)))
% 0.85/0.88 [682]P6(f34(a30,x6821),f7(x6822),a46)+~P6(x6821,f43(a37,f38(f48(a44,a1)),a44,a47),a47)
% 0.85/0.88 [636]~P6(x6361,f7(x6362),a46)+P8(f17(f42(x6361,f35(f48(a46,a1)),a46)),f7(x6362),f48(a46,a1))
% 0.85/0.88 [659]~P6(x6591,f32(f18(x6592)),a46)+P8(f17(f42(x6591,f35(f48(a46,a1)),a46)),f6(f32(f18(x6592)),f17(x6592),f48(a46,a1)),f48(a46,a1))
% 0.85/0.88 [424]E(x4241,x4242)+~P7(x4241,x4242,x4243)
% 0.85/0.88 [429]~E(f5(x4293,x4291,x4292),x4293)+E(x4291,f3(x4292))
% 0.85/0.88 [430]~E(f5(x4301,x4303,x4302),x4303)+E(x4301,f3(x4302))
% 0.85/0.88 [434]~E(f5(x4343,x4341,x4342),f3(x4342))+E(x4341,f3(x4342))
% 0.85/0.88 [435]~E(f5(x4351,x4353,x4352),f3(x4352))+E(x4351,f3(x4352))
% 0.85/0.88 [436]P6(x4361,x4362,x4363)+~P18(f34(x4362,x4361))
% 0.85/0.88 [439]~P10(x4393)+E(f6(x4391,x4392,x4393),f6(x4392,x4391,x4393))
% 0.85/0.88 [440]~P11(x4403)+E(f6(x4401,x4402,x4403),f6(x4402,x4401,x4403))
% 0.85/0.88 [441]~P6(x4412,x4411,x4413)+P18(f34(x4411,x4412))
% 0.85/0.88 [445]~P6(x4451,x4452,x4453)+E(f42(x4451,x4452,x4453),x4452)
% 0.85/0.88 [460]~P10(x4603)+P8(x4601,f6(x4602,x4601,x4603),x4603)
% 0.85/0.88 [461]~P11(x4613)+P8(x4611,f6(x4612,x4611,x4613),x4613)
% 0.85/0.88 [462]~P10(x4623)+P8(x4621,f6(x4621,x4622,x4623),x4623)
% 0.85/0.88 [463]~P11(x4633)+P8(x4631,f6(x4631,x4632,x4633),x4633)
% 0.85/0.88 [482]P6(x4821,f17(x4822),a46)+~P6(f28(x4823,x4821),f17(x4822),a46)
% 0.85/0.88 [483]P6(x4831,f17(x4832),a46)+~P6(f31(x4833,x4831),f17(x4832),a46)
% 0.85/0.88 [484]P6(x4841,f17(x4842),a46)+~P6(f31(x4841,x4843),f17(x4842),a46)
% 0.85/0.88 [485]P6(x4851,f18(x4852),a46)+~P6(f31(x4853,x4851),f18(x4852),a46)
% 0.85/0.88 [486]P6(x4861,f18(x4862),a46)+~P6(f31(x4861,x4863),f18(x4862),a46)
% 0.85/0.88 [487]P6(x4871,f7(x4872),a46)+~P6(f31(x4873,x4871),f7(x4872),a46)
% 0.85/0.88 [488]P6(x4881,f7(x4882),a46)+~P6(f31(x4881,x4883),f7(x4882),a46)
% 0.85/0.88 [504]~P6(f28(x5041,x5043),x5042,a46)+P6(f34(a24,x5041),f26(x5042),a47)
% 0.85/0.88 [516]P6(x5161,f7(x5162),a46)+~P6(f10(x5163,x5161),f19(x5162,a2),a2)
% 0.85/0.88 [531]P6(x5311,f8(x5312,x5313),a46)+~P6(f10(x5312,x5311),f19(x5313,a2),a2)
% 0.85/0.88 [444]E(x4441,x4442)+~E(f15(x4441,f48(x4443,a1)),f15(x4442,f48(x4443,a1)))
% 0.85/0.88 [475]P6(x4751,x4752,x4753)+P6(x4751,f15(x4752,f48(x4753,a1)),x4753)
% 0.85/0.88 [480]E(x4801,f35(f48(x4802,a1)))+~E(f6(x4803,x4801,f48(x4802,a1)),f35(f48(x4802,a1)))
% 0.85/0.88 [481]E(x4811,f35(f48(x4812,a1)))+~E(f6(x4811,x4813,f48(x4812,a1)),f35(f48(x4812,a1)))
% 0.85/0.88 [493]~P8(x4931,x4932,f48(x4933,a1))+E(f6(x4931,x4932,f48(x4933,a1)),x4932)
% 0.85/0.88 [494]~P8(x4942,x4941,f48(x4943,a1))+E(f6(x4941,x4942,f48(x4943,a1)),x4941)
% 0.85/0.88 [495]P8(x4951,x4952,f48(x4953,a1))+~E(f6(x4951,x4952,f48(x4953,a1)),x4952)
% 0.85/0.88 [518]~P10(x5183)+E(f6(x5181,f6(x5181,x5182,x5183),x5183),f6(x5181,x5182,x5183))
% 0.85/0.88 [519]~P11(x5193)+E(f6(x5191,f6(x5191,x5192,x5193),x5193),f6(x5191,x5192,x5193))
% 0.85/0.88 [521]P6(x5211,f32(f18(x5212)),a46)+~P6(f31(x5213,x5211),f32(f18(x5212)),a46)
% 0.85/0.88 [522]P6(x5221,f32(f18(x5222)),a46)+~P6(f31(x5221,x5223),f32(f18(x5222)),a46)
% 0.85/0.88 [525]~E(f18(x5252),f18(x5253))+E(f18(f42(x5251,x5252,a46)),f18(f42(x5251,x5253,a46)))
% 0.85/0.88 [556]~P6(x5561,x5562,x5563)+~P6(x5561,f15(x5562,f48(x5563,a1)),x5563)
% 0.85/0.88 [587]~P8(x5873,x5871,f48(x5872,a1))+P8(f15(x5871,f48(x5872,a1)),f15(x5873,f48(x5872,a1)),f48(x5872,a1))
% 0.85/0.88 [592]~P6(x5921,f17(x5923),a46)+P6(x5921,f17(f42(x5922,x5923,a46)),a46)
% 0.85/0.88 [593]~P6(x5931,f18(x5933),a46)+P6(x5931,f18(f42(x5932,x5933,a46)),a46)
% 0.85/0.88 [617]P8(x6171,x6172,f48(x6173,a1))+~P8(f15(x6172,f48(x6173,a1)),f15(x6171,f48(x6173,a1)),f48(x6173,a1))
% 0.85/0.88 [631]~P6(x6311,x6313,a46)+P8(f17(f42(x6311,x6312,a46)),f6(f17(x6313),f17(x6312),f48(a46,a1)),f48(a46,a1))
% 0.85/0.88 [686]P8(f18(f42(x6861,x6862,a46)),f6(f32(f18(x6863)),f18(f6(x6863,x6862,f48(a46,a1))),f48(a46,a1)),f48(a46,a1))+~P6(x6861,f32(f18(x6863)),a46)
% 0.85/0.88 [528]P6(x5281,a4,a44)+E(f8(a20,f16(f10(x5281,x5282),x5283,a2)),f8(a20,x5283))
% 0.85/0.88 [538]E(x5381,a20)+E(f8(x5381,f16(f9(x5381,x5382),x5383,a2)),f42(x5382,f8(x5381,x5383),a46))
% 0.85/0.88 [539]P6(x5391,f7(x5392),a46)+~P6(x5391,f17(f8(x5393,f3(a2))),a46)
% 0.85/0.88 [575]~P6(x5751,a4,a44)+E(f8(a20,f16(f10(x5751,x5752),x5753,a2)),f42(x5752,f8(a20,x5753),a46))
% 0.85/0.88 [581]E(x5811,x5812)+~E(f42(x5811,f35(f48(x5813,a1)),x5813),f42(x5812,f35(f48(x5813,a1)),x5813))
% 0.85/0.88 [599]P6(f34(a30,f34(a24,x5991)),f18(x5993),a46)+E(f18(f42(f28(x5991,x5992),x5993,a46)),f42(f28(x5991,x5992),f18(x5993),a46))
% 0.85/0.88 [614]E(x6141,x6142)+~P6(x6141,f42(x6142,f35(f48(x6143,a1)),x6143),x6143)
% 0.85/0.88 [621]~P6(x6211,f18(x6213),a46)+P6(x6211,f18(f6(x6212,x6213,f48(a46,a1))),a46)
% 0.85/0.88 [650]~P6(f34(a30,f34(a24,x6501)),f18(x6503),a46)+E(f42(f28(x6501,x6502),f18(f42(x6502,x6503,a46)),a46),f18(f42(f28(x6501,x6502),x6503,a46)))
% 0.85/0.88 [685]P8(f42(f28(x6851,x6852),f18(f42(x6852,x6853,a46)),a46),f18(f42(f28(x6851,x6852),x6853,a46)),f48(a46,a1))+~P6(f34(a30,f34(a24,x6851)),f18(x6853),a46)
% 0.85/0.88 [699]~P6(x6992,x6993,a44)+P6(f34(a24,f34(f39(x6991),x6992)),f43(a24,f43(f39(x6991),x6993,a44,a47),a47,a47),a47)
% 0.85/0.88 [712]~P6(x7121,x7122,a47)+P6(f34(a30,x7121),f18(f6(f43(a30,x7122,a47,a46),x7123,f48(a46,a1))),a46)
% 0.85/0.88 [600]~P6(x6002,a4,a44)+P6(f34(a30,f34(a24,f34(f39(x6001),x6002))),f8(a20,x6003),a46)
% 0.85/0.88 [628]P6(x6282,a4,a44)+E(f8(a20,f5(x6281,f16(f10(x6282,x6283),f3(a2),a2),a2)),f8(a20,x6281))
% 0.85/0.88 [643]~P6(x6432,a4,a44)+E(f8(a20,f5(x6431,f16(f10(x6432,x6433),f3(a2),a2),a2)),f42(x6433,f8(a20,x6431),a46))
% 0.85/0.88 [396]E(x3961,x3962)+~E(f10(x3963,x3961),f10(x3964,x3962))
% 0.85/0.88 [397]E(x3971,x3972)+~E(f28(x3973,x3971),f28(x3974,x3972))
% 0.85/0.88 [398]E(x3981,x3982)+~E(f31(x3983,x3981),f31(x3984,x3982))
% 0.85/0.88 [399]E(x3991,x3992)+~E(f9(x3993,x3991),f9(x3994,x3992))
% 0.85/0.88 [400]E(x4001,x4002)+~E(f10(x4001,x4003),f10(x4002,x4004))
% 0.85/0.88 [401]E(x4011,x4012)+~E(f28(x4011,x4013),f28(x4012,x4014))
% 0.85/0.88 [402]E(x4021,x4022)+~E(f31(x4021,x4023),f31(x4022,x4024))
% 0.85/0.88 [403]E(x4031,x4032)+~E(f9(x4031,x4033),f9(x4032,x4034))
% 0.85/0.88 [471]E(x4711,x4712)+~E(f5(x4713,x4711,x4714),f5(x4713,x4712,x4714))
% 0.85/0.88 [474]E(x4741,x4742)+~E(f5(x4741,x4743,x4744),f5(x4742,x4743,x4744))
% 0.85/0.88 [537]~P6(x5371,x5373,x5374)+P6(x5371,f42(x5372,x5373,x5374),x5374)
% 0.85/0.88 [564]~P8(x5641,x5643,f48(x5644,a1))+P8(x5641,f42(x5642,x5643,x5644),f48(x5644,a1))
% 0.85/0.88 [590]P6(x5901,x5902,x5903)+~P8(f42(x5901,x5904,x5903),x5902,f48(x5903,a1))
% 0.85/0.88 [591]P6(x5911,f7(x5912),a46)+~P6(f11(x5913,x5914,x5911),f19(x5912,a2),a2)
% 0.85/0.88 [596]P6(x5961,f8(a20,x5962),a46)+~P6(f11(x5963,x5964,x5961),f19(x5962,a2),a2)
% 0.85/0.88 [597]P6(x5971,f8(x5972,x5973),a46)+~P6(f11(x5972,x5974,x5971),f19(x5973,a2),a2)
% 0.85/0.88 [598]~P8(f42(x5984,x5981,x5983),x5982,f48(x5983,a1))+P8(x5981,x5982,f48(x5983,a1))
% 0.85/0.88 [610]~P8(x6102,x6104,f48(x6103,a1))+P8(f42(x6101,x6102,x6103),f42(x6101,x6104,x6103),f48(x6103,a1))
% 0.85/0.88 [414]E(x4141,x4142)+~E(f34(f39(x4143),x4141),f34(f39(x4144),x4142))
% 0.85/0.88 [415]E(x4151,x4152)+~E(f34(f39(x4151),x4153),f34(f39(x4152),x4154))
% 0.85/0.88 [560]~P18(f34(x5602,x5604))+P18(f34(f42(x5601,x5602,x5603),x5604))
% 0.85/0.88 [561]~P6(x5611,x5613,x5614)+P6(x5611,f6(x5612,x5613,f48(x5614,a1)),x5614)
% 0.85/0.88 [562]~P6(x5621,x5622,x5624)+P6(x5621,f6(x5622,x5623,f48(x5624,a1)),x5624)
% 0.85/0.88 [577]~P10(x5774)+E(f6(x5771,f6(x5772,x5773,x5774),x5774),f6(x5772,f6(x5771,x5773,x5774),x5774))
% 0.85/0.88 [578]~P11(x5784)+E(f6(x5781,f6(x5782,x5783,x5784),x5784),f6(x5782,f6(x5781,x5783,x5784),x5784))
% 0.85/0.88 [579]~P10(x5793)+E(f6(f6(x5791,x5792,x5793),x5794,x5793),f6(x5791,f6(x5792,x5794,x5793),x5793))
% 0.85/0.88 [580]~P11(x5803)+E(f6(f6(x5801,x5802,x5803),x5804,x5803),f6(x5801,f6(x5802,x5804,x5803),x5803))
% 0.85/0.88 [604]~P6(f11(x6043,x6044,x6041),f19(x6042,a2),a2)+P6(x6041,f17(f8(a20,x6042)),a46)
% 0.85/0.88 [605]~P6(f11(x6053,x6054,x6051),f19(x6052,a2),a2)+P6(x6051,f18(f8(a20,x6052)),a46)
% 0.85/0.88 [619]P8(x6191,x6192,f48(x6193,a1))+~P8(f6(x6194,x6191,f48(x6193,a1)),x6192,f48(x6193,a1))
% 0.85/0.88 [620]P8(x6201,x6202,f48(x6203,a1))+~P8(f6(x6201,x6204,f48(x6203,a1)),x6202,f48(x6203,a1))
% 0.85/0.88 [623]~E(f43(x6233,x6231,x6232,x6234),f35(f48(x6234,a1)))+E(x6231,f35(f48(x6232,a1)))
% 0.85/0.88 [672]E(x6721,x6722)+~P6(f34(f39(x6721),x6723),f43(f39(x6722),x6724,a44,a47),a47)
% 0.85/0.88 [678]P6(x6781,x6782,a44)+~P6(f34(f39(x6783),x6781),f43(f39(x6784),x6782,a44,a47),a47)
% 0.85/0.88 [692]~P5(x6921,x6922,x6923,x6924)+P6(f11(x6921,x6922,f55(x6921,x6922,x6923,x6924)),f19(x6924,a2),a2)
% 0.85/0.88 [601]~P18(f34(x6012,x6014))+P18(f34(f6(x6011,x6012,f48(x6013,a1)),x6014))
% 0.85/0.88 [602]~P18(f34(x6021,x6024))+P18(f34(f6(x6021,x6022,f48(x6023,a1)),x6024))
% 0.85/0.88 [717]E(x7171,x7172)+~P6(f34(a24,f34(f39(x7171),x7173)),f43(a24,f43(f39(x7172),x7174,a44,a47),a47,a47),a47)
% 0.85/0.88 [718]P6(x7181,x7182,a44)+~P6(f34(a24,f34(f39(x7183),x7181)),f43(a24,f43(f39(x7184),x7182,a44,a47),a47,a47),a47)
% 0.85/0.88 [669]~P6(x6691,f18(f8(a20,x6694)),a46)+P6(x6691,f18(f8(a20,f16(f10(x6692,x6693),x6694,a2))),a46)
% 0.85/0.88 [670]~P6(x6701,f18(f8(a20,x6704)),a46)+P6(x6701,f18(f8(a20,f16(f9(x6702,x6703),x6704,a2))),a46)
% 0.85/0.88 [720]~P5(x7202,x7203,x7201,x7204)+P6(x7201,f17(f42(f55(x7202,x7203,x7201,x7204),f35(f48(a46,a1)),a46)),a46)
% 0.85/0.88 [469]E(x4691,x4692)+~E(f16(x4693,x4691,x4694),f16(x4695,x4692,x4694))
% 0.85/0.88 [472]E(x4721,x4722)+~E(f16(x4721,x4723,x4724),f16(x4722,x4725,x4724))
% 0.85/0.88 [654]~P6(x6542,x6543,x6544)+P6(f34(x6541,x6542),f43(x6541,x6543,x6544,x6545),x6545)
% 0.85/0.88 [688]~P8(x6882,x6885,f48(x6883,a1))+P8(f43(x6881,x6882,x6883,x6884),f43(x6881,x6885,x6883,x6884),f48(x6884,a1))
% 0.85/0.88 [671]~P6(x6712,x6713,x6714)+E(f42(f34(x6711,x6712),f43(x6711,x6713,x6714,x6715),x6715),f43(x6711,x6713,x6714,x6715))
% 0.85/0.88 [633]E(x6331,x6332)+~E(f5(x6333,f16(x6331,f3(x6334),x6334),x6334),f5(x6335,f16(x6332,f3(x6334),x6334),x6334))
% 0.85/0.88 [634]E(x6341,x6342)+~E(f5(x6341,f16(x6343,f3(x6344),x6344),x6344),f5(x6342,f16(x6345,f3(x6344),x6344),x6344))
% 0.85/0.88 [691]~P6(x6911,f18(f8(a20,x6915)),a46)+P6(x6911,f18(f8(a20,f16(f11(x6912,x6913,x6914),x6915,a2))),a46)
% 0.85/0.88 [468]E(x4681,x4682)+~E(f11(x4683,x4684,x4681),f11(x4685,x4686,x4682))
% 0.85/0.88 [470]E(x4701,x4702)+~E(f11(x4703,x4701,x4704),f11(x4705,x4702,x4706))
% 0.85/0.88 [473]E(x4731,x4732)+~E(f11(x4731,x4733,x4734),f11(x4732,x4735,x4736))
% 0.85/0.88 [700]P6(x7001,f17(f8(a20,x7002)),a46)+~P6(f11(a21,x7003,f28(f34(a37,x7003),f31(x7004,f31(x7005,f31(x7001,x7006))))),f19(x7002,a2),a2)
% 0.85/0.88 [694]P6(x6941,f17(f8(a20,x6942)),a46)+~P6(f11(x6943,x6944,f28(x6945,f31(x6946,f31(x6947,f31(x6948,x6941))))),f19(x6942,a2),a2)
% 0.85/0.88 [442]P18(f34(x4421,x4422))+~P18(f34(x4421,a40))+~P18(f34(x4421,a41))
% 0.85/0.88 [517]P6(f27(x5171),x5172,a46)+P6(x5171,f32(x5172),a46)+~P6(f27(x5171),f32(x5172),a46)
% 0.85/0.88 [588]~P6(x5881,a4,a44)+~P6(x5882,a36,f45(a2))+P6(f34(a30,f34(a37,x5881)),f17(f8(a20,x5882)),a46)
% 0.85/0.88 [589]~P6(x5891,a4,a44)+~P6(x5892,a36,f45(a2))+P6(f34(a30,f34(a37,x5891)),f18(f8(a20,x5892)),a46)
% 0.85/0.88 [611]P6(x6111,a4,a44)+~P6(x6112,a36,f45(a2))+~P6(f34(a30,f34(a37,x6111)),f17(f8(a20,x6112)),a46)
% 0.85/0.88 [612]P6(x6121,a4,a44)+~P6(x6122,a36,f45(a2))+~P6(f34(a30,f34(a37,x6121)),f18(f8(a20,x6122)),a46)
% 0.85/0.88 [689]~P6(x6892,a36,f45(a2))+P6(x6891,f43(a37,f38(f48(a44,a1)),a44,a47),a47)+P6(f34(a30,x6891),f18(f42(f34(a30,x6891),f8(a20,x6892),a46)),a46)
% 0.85/0.88 [443]P8(x4432,x4431,x4433)+~P15(x4433)+P8(x4431,x4432,x4433)
% 0.85/0.88 [409]~P2(x4093)+E(x4091,x4092)+~E(f15(x4091,x4093),f15(x4092,x4093))
% 0.85/0.88 [410]~P12(x4103)+E(x4101,x4102)+~E(f15(x4101,x4103),f15(x4102,x4103))
% 0.85/0.88 [437]~P1(x4372)+~E(f6(x4373,x4371,x4372),f35(x4372))+E(x4371,f35(x4372))
% 0.85/0.88 [438]~P1(x4382)+~E(f6(x4381,x4383,x4382),f35(x4382))+E(x4381,f35(x4382))
% 0.85/0.88 [449]~P10(x4493)+~P8(x4491,x4492,x4493)+E(f6(x4491,x4492,x4493),x4492)
% 0.85/0.88 [450]~P10(x4503)+~P8(x4502,x4501,x4503)+E(f6(x4501,x4502,x4503),x4501)
% 0.85/0.88 [451]~P10(x4513)+P8(x4511,x4512,x4513)+~E(f6(x4511,x4512,x4513),x4512)
% 0.85/0.88 [490]~P13(x4902)+~P8(x4903,x4901,x4902)+P8(f15(x4901,x4902),f15(x4903,x4902),x4902)
% 0.85/0.88 [509]~P13(x5093)+~P8(x5092,f15(x5091,x5093),x5093)+P8(x5091,f15(x5092,x5093),x5093)
% 0.85/0.88 [511]~P13(x5112)+~P8(f15(x5113,x5112),x5111,x5112)+P8(f15(x5111,x5112),x5113,x5112)
% 0.85/0.88 [526]~P13(x5263)+P8(x5261,x5262,x5263)+~P8(f15(x5262,x5263),f15(x5261,x5263),x5263)
% 0.85/0.88 [533]E(x5331,a20)+P6(x5332,f8(x5331,x5333),a46)+~P6(f9(x5331,x5332),f19(x5333,a2),a2)
% 0.85/0.88 [535]E(x5351,x5352)+~P8(x5351,x5352,f48(x5353,a1))+~P8(x5352,x5351,f48(x5353,a1))
% 0.85/0.88 [547]~P6(x5471,a33,a47)+P6(x5471,f26(x5472),a47)+~P6(f28(x5471,x5473),x5472,a46)
% 0.85/0.88 [548]P6(f31(x5481,x5482),f32(x5483),a46)+~P6(x5482,f32(x5483),a46)+~P6(x5481,f32(x5483),a46)
% 0.85/0.88 [549]P6(x5491,f32(x5492),a46)+P6(f28(x5493,x5491),x5492,a46)+~P6(f28(x5493,x5491),f32(x5492),a46)
% 0.85/0.88 [550]P6(x5501,f32(x5502),a46)+P6(f31(x5503,x5501),x5502,a46)+~P6(f31(x5503,x5501),f32(x5502),a46)
% 0.85/0.88 [551]P6(x5511,f32(x5512),a46)+P6(f31(x5511,x5513),x5512,a46)+~P6(f31(x5511,x5513),f32(x5512),a46)
% 0.85/0.88 [552]~P8(x5523,f17(x5522),f48(a46,a1))+P6(x5521,f17(x5522),a46)+~P6(x5521,f17(x5523),a46)
% 0.85/0.88 [553]~P8(x5533,f18(x5532),f48(a46,a1))+P6(x5531,f18(x5532),a46)+~P6(x5531,f18(x5533),a46)
% 0.85/0.88 [554]~P8(x5543,f32(x5542),f48(a46,a1))+P6(x5541,f32(x5542),a46)+~P6(x5541,f32(x5543),a46)
% 0.85/0.88 [559]~P6(f28(x5591,x5592),f32(x5593),a46)+P6(f28(x5591,x5592),x5593,a46)+P6(f34(a30,x5591),x5593,a46)
% 0.85/0.88 [563]P6(f28(x5631,x5632),f32(x5633),a46)+~P6(x5632,f32(x5633),a46)+~P6(f34(a30,x5631),x5633,a46)
% 0.85/0.88 [571]~P6(x5713,a4,a44)+~P6(f10(x5713,x5711),f19(x5712,a2),a2)+P6(x5711,f8(a20,x5712),a46)
% 0.85/0.88 [574]~P8(x5743,x5742,f48(a46,a1))+~P6(x5741,f18(x5743),a46)+E(f18(f42(x5741,x5742,a46)),f18(x5742))
% 0.85/0.88 [606]P6(x6061,f32(f18(x6062)),a46)+P6(f27(f31(x6061,x6063)),f18(x6062),a46)+~P6(f27(f31(x6061,x6063)),f32(f18(x6062)),a46)
% 0.85/0.88 [608]P6(x6081,f18(x6082),a46)+~P6(f28(x6083,x6081),f18(x6082),a46)+~P6(f34(a30,f34(a24,x6083)),f18(x6082),a46)
% 0.85/0.88 [624]~P6(x6243,a4,a44)+P6(x6241,f18(f8(a20,x6242)),a46)+~P6(f28(f34(a37,x6243),x6241),f18(f8(a20,x6242)),a46)
% 0.85/0.88 [625]P6(x6251,f18(x6252),a46)+~P6(f28(f34(a37,x6253),x6251),f18(x6252),a46)+~P6(f34(a30,f34(a37,x6253)),f18(x6252),a46)
% 0.85/0.88 [637]P6(x6371,f18(x6372),a46)+~P6(x6373,f18(x6372),a46)+~P6(x6371,f18(f42(x6373,x6372,a46)),a46)
% 0.85/0.88 [638]P6(x6381,f32(x6382),a46)+~P6(x6383,f32(x6382),a46)+~P6(x6381,f32(f42(x6383,x6382,a46)),a46)
% 0.85/0.88 [660]P6(x6601,f6(f32(f18(x6602)),f17(x6602),f48(a46,a1)),a46)+~P6(x6603,f32(f18(x6602)),a46)+~P6(x6601,f17(f42(x6603,x6602,a46)),a46)
% 0.85/0.88 [639]~P4(x6393)+~P6(x6392,f32(f18(f8(a20,x6393))),a46)+P4(f16(f11(a20,x6391,x6392),x6393,a2))
% 0.85/0.88 [641]~P8(x6411,f42(x6413,f35(f48(x6412,a1)),x6412),f48(x6412,a1))+E(x6411,f35(f48(x6412,a1)))+E(x6411,f42(x6413,f35(f48(x6412,a1)),x6412))
% 0.85/0.88 [655]P6(x6551,f17(x6552),a46)+P6(x6551,f17(x6553),a46)+~P6(x6551,f17(f6(x6552,x6553,f48(a46,a1))),a46)
% 0.85/0.88 [657]~P6(x6573,a36,f45(a2))+P6(f16(f11(a20,x6571,x6572),x6573,a2),a36,f45(a2))+~P6(x6572,f32(f18(f8(a20,x6573))),a46)
% 0.85/0.88 [681]P6(x6811,f6(f32(f18(x6812)),f17(x6812),f48(a46,a1)),a46)+~P6(x6813,f32(f18(x6812)),a46)+~P6(x6811,f17(f42(x6813,f35(f48(a46,a1)),a46)),a46)
% 0.85/0.88 [492]~P8(x4923,x4921,f48(x4924,a1))+P18(f34(x4921,x4922))+~P18(f34(x4923,x4922))
% 0.85/0.88 [540]~P10(x5404)+~P8(x5401,x5403,x5404)+P8(x5401,f6(x5402,x5403,x5404),x5404)
% 0.85/0.88 [541]~P10(x5414)+~P8(x5411,x5412,x5414)+P8(x5411,f6(x5412,x5413,x5414),x5414)
% 0.85/0.88 [546]P6(x5461,x5462,x5463)+~P6(x5461,x5464,x5463)+~P8(x5464,x5462,f48(x5463,a1))
% 0.85/0.88 [566]E(x5661,x5662)+P6(x5661,x5663,x5664)+~P6(x5661,f42(x5662,x5663,x5664),x5664)
% 0.85/0.88 [568]~P10(x5683)+P8(x5681,x5682,x5683)+~P8(f6(x5684,x5681,x5683),x5682,x5683)
% 0.85/0.88 [570]~P10(x5703)+P8(x5701,x5702,x5703)+~P8(f6(x5701,x5704,x5703),x5702,x5703)
% 0.85/0.88 [572]~P8(x5721,x5724,f48(x5723,a1))+~P8(x5724,x5722,f48(x5723,a1))+P8(x5721,x5722,f48(x5723,a1))
% 0.85/0.88 [607]~P6(x6071,x6074,x6073)+~P8(x6072,x6074,f48(x6073,a1))+P8(f42(x6071,x6072,x6073),x6074,f48(x6073,a1))
% 0.85/0.88 [616]P6(x6161,x6162,x6163)+~P8(x6162,f42(x6161,x6164,x6163),f48(x6163,a1))+P8(x6162,x6164,f48(x6163,a1))
% 0.85/0.88 [613]E(x6131,x6132)+P18(f34(x6133,x6131))+~P18(f34(f42(x6132,x6133,x6134),x6131))
% 0.85/0.88 [618]P6(x6181,x6182,x6183)+P6(x6181,x6184,x6183)+~P6(x6181,f6(x6182,x6184,f48(x6183,a1)),x6183)
% 0.85/0.88 [627]~P8(x6271,x6274,f48(x6273,a1))+~P8(x6272,x6274,f48(x6273,a1))+P8(f6(x6271,x6272,f48(x6273,a1)),x6274,f48(x6273,a1))
% 0.85/0.88 [632]E(x6321,x6322)+P6(x6321,f19(x6323,x6324),x6324)+~P6(x6321,f19(f16(x6322,x6323,x6324),x6324),x6324)
% 0.85/0.88 [576]~E(f18(x5761),f18(x5763))+~E(f18(x5762),f18(x5764))+E(f18(f6(x5761,x5762,f48(a46,a1))),f18(f6(x5763,x5764,f48(a46,a1))))
% 0.85/0.88 [640]P18(f34(x6401,x6402))+P18(f34(x6403,x6402))+~P18(f34(f6(x6401,x6403,f48(x6404,a1)),x6402))
% 0.85/0.88 [668]~P6(x6684,f17(x6683),a46)+~P6(x6681,f17(f42(x6684,x6682,a46)),a46)+P6(x6681,f17(f6(x6682,x6683,f48(a46,a1))),a46)
% 0.85/0.88 [677]~P8(f18(x6772),f18(x6774),f48(a46,a1))+~P8(f18(x6771),f18(x6773),f48(a46,a1))+P8(f18(f6(x6771,x6772,f48(a46,a1))),f18(f6(x6773,x6774,f48(a46,a1))),f48(a46,a1))
% 0.85/0.88 [676]~P4(x6762)+P6(f29(x6761),f7(x6762),a46)+P4(f16(f11(x6763,a21,f31(f25(x6763),f31(f25(x6764),f29(x6761)))),x6762,a2))
% 0.85/0.88 [683]P6(f29(x6831),f7(x6832),a46)+~P6(x6832,a36,f45(a2))+P6(f16(f11(x6833,a21,f31(f25(x6833),f31(f25(x6834),f29(x6831)))),x6832,a2),a36,f45(a2))
% 0.85/0.88 [532]~P3(x5324)+P8(f34(x5321,x5322),f34(x5323,x5322),x5324)+~P8(x5321,x5323,f48(x5325,x5324))
% 0.85/0.88 [644]~P8(x6441,x6444,f48(x6443,a1))+~P8(x6442,x6445,f48(x6443,a1))+P8(f6(x6441,x6442,f48(x6443,a1)),f6(x6444,x6445,f48(x6443,a1)),f48(x6443,a1))
% 0.85/0.88 [697]P6(f22(x6971,x6972,x6973),f19(x6972,x6973),x6973)+~P18(f34(x6971,x6975))+P6(f22(x6971,f5(x6974,f16(x6975,x6972,x6973),x6973),x6973),f19(f5(x6974,f16(x6975,x6972,x6973),x6973),x6973),x6973)
% 0.85/0.88 [698]P6(f23(x6981,x6982,x6983),f19(x6982,x6983),x6983)+~P18(f34(x6981,x6984))+P6(f23(x6981,f5(x6982,f16(x6984,x6985,x6983),x6983),x6983),f19(f5(x6982,f16(x6984,x6985,x6983),x6983),x6983),x6983)
% 0.85/0.88 [703]~P18(f34(x7031,x7035))+P6(f22(x7031,f5(x7034,f16(x7035,x7032,x7033),x7033),x7033),f19(f5(x7034,f16(x7035,x7032,x7033),x7033),x7033),x7033)+P18(f34(x7031,f22(x7031,x7032,x7033)))
% 0.85/0.88 [704]~P18(f34(x7041,x7044))+P6(f23(x7041,f5(x7042,f16(x7044,x7045,x7043),x7043),x7043),f19(f5(x7042,f16(x7044,x7045,x7043),x7043),x7043),x7043)+P18(f34(x7041,f23(x7041,x7042,x7043)))
% 0.85/0.88 [664]E(x6641,x6642)+E(x6641,x6643)+~E(f42(x6644,f42(x6641,f35(f48(x6645,a1)),x6645),x6645),f42(x6643,f42(x6642,f35(f48(x6645,a1)),x6645),x6645))
% 0.85/0.88 [665]E(x6651,x6652)+E(x6653,x6652)+~E(f42(x6653,f42(x6651,f35(f48(x6654,a1)),x6654),x6654),f42(x6655,f42(x6652,f35(f48(x6654,a1)),x6654),x6654))
% 0.85/0.88 [666]E(x6661,x6662)+E(x6663,x6662)+~E(f42(x6663,f42(x6661,f35(f48(x6664,a1)),x6664),x6664),f42(x6662,f42(x6665,f35(f48(x6664,a1)),x6664),x6664))
% 0.85/0.88 [667]E(x6671,x6672)+E(x6671,x6673)+~E(f42(x6671,f42(x6674,f35(f48(x6675,a1)),x6675),x6675),f42(x6673,f42(x6672,f35(f48(x6675,a1)),x6675),x6675))
% 0.85/0.88 [701]P6(f22(x7011,x7012,x7013),f19(x7012,x7013),x7013)+~P18(f34(x7011,x7015))+P18(f34(x7011,f22(x7011,f5(x7014,f16(x7015,x7012,x7013),x7013),x7013)))
% 0.85/0.88 [702]P6(f23(x7021,x7022,x7023),f19(x7022,x7023),x7023)+~P18(f34(x7021,x7024))+P18(f34(x7021,f23(x7021,f5(x7022,f16(x7024,x7025,x7023),x7023),x7023)))
% 0.85/0.88 [707]~P18(f34(x7071,x7075))+P18(f34(x7071,f22(x7071,x7072,x7073)))+P18(f34(x7071,f22(x7071,f5(x7074,f16(x7075,x7072,x7073),x7073),x7073)))
% 0.85/0.88 [708]~P18(f34(x7081,x7084))+P18(f34(x7081,f23(x7081,x7082,x7083)))+P18(f34(x7081,f23(x7081,f5(x7082,f16(x7084,x7085,x7083),x7083),x7083)))
% 0.85/0.88 [680]~P6(x6802,x6805,x6806)+P6(f34(x6801,x6802),x6803,x6804)+~P8(f43(x6801,x6805,x6806,x6804),x6803,f48(x6804,a1))
% 0.85/0.88 [721]E(x7211,f34(a37,x7212))+~P6(x7213,a36,f45(a2))+~P6(f11(a21,x7212,f28(x7211,f31(x7214,f31(f25(x7215),f31(f34(a30,x7216),x7217))))),f19(x7213,a2),a2)
% 0.85/0.88 [722]~P6(x7225,a36,f45(a2))+E(x7221,f28(f34(a37,x7222),f31(f34(a30,x7223),f25(x7224))))+~P6(f11(a21,x7224,f28(x7226,f31(x7227,f31(f25(x7222),f31(f34(a30,x7223),x7221))))),f19(x7225,a2),a2)
% 0.85/0.88 [728]~P6(x7281,a36,f45(a2))+~P6(x7282,f43(a37,f38(f48(a44,a1)),a44,a47),a47)+~P6(f11(a21,x7283,f28(x7284,f31(x7285,f31(f25(x7286),f31(f34(a30,x7282),x7287))))),f19(x7281,a2),a2)
% 0.85/0.88 [645]~P6(x6451,f8(a20,x6452),a46)+P6(x6451,f8(a20,f3(a2)),a46)+P6(f11(f12(x6451,x6452),f13(x6451,x6452),x6451),f19(x6452,a2),a2)+P6(f10(f12(x6451,x6452),x6451),f19(x6452,a2),a2)
% 0.85/0.88 [629]~P6(x6291,a33,a47)+P6(f34(a30,x6291),f7(x6292),a46)+~P6(x6292,a36,f45(a2))+~P6(x6291,f26(f17(f8(a20,x6292))),a47)
% 0.85/0.88 [478]~P8(x4782,x4781,x4783)+~P8(x4781,x4782,x4783)+E(x4781,x4782)+~P14(x4783)
% 0.85/0.88 [609]~P6(f28(x6093,x6091),f18(x6092),a46)+P6(x6091,f18(x6092),a46)+~P6(x6093,a33,a47)+~P6(f34(a30,x6093),f18(x6092),a46)
% 0.85/0.88 [635]~P6(f34(a30,x6353),f18(x6352),a46)+~P6(f28(x6353,x6351),f32(f18(x6352)),a46)+P6(x6351,f32(f18(x6352)),a46)+~P6(f34(a30,f34(a24,x6353)),f18(x6352),a46)
% 0.85/0.88 [529]~P14(x5293)+~P8(x5291,x5294,x5293)+P8(x5291,x5292,x5293)+~P8(x5294,x5292,x5293)
% 0.85/0.88 [530]~P17(x5303)+~P8(x5301,x5304,x5303)+P8(x5301,x5302,x5303)+~P8(x5304,x5302,x5303)
% 0.85/0.88 [555]P6(x5553,x5551,x5554)+E(x5551,x5552)+P6(x5553,x5552,x5554)+~E(f42(x5553,x5551,x5554),f42(x5553,x5552,x5554))
% 0.85/0.88 [585]~P10(x5853)+~P8(x5852,x5854,x5853)+~P8(x5851,x5854,x5853)+P8(f6(x5851,x5852,x5853),x5854,x5853)
% 0.85/0.88 [658]~P8(x6583,x6582,f48(a46,a1))+P6(f34(a30,x6581),f18(x6582),a46)+~P6(x6584,f32(f18(x6583)),a46)+~P6(f34(a30,x6581),f18(f42(x6584,x6582,a46)),a46)
% 0.85/0.88 [695]~P6(x6954,f32(f18(x6952)),a46)+P6(f34(a30,f34(a24,x6951)),f17(x6952),a46)+~P6(x6951,f26(f17(f42(x6954,x6953,a46))),a47)+P6(x6951,f26(f17(f6(x6953,x6952,f48(a46,a1)))),a47)
% 0.85/0.88 [744]P6(x7441,a4,a44)+~P6(x7444,a36,f45(a2))+~P6(f28(f34(a37,x7441),f31(f34(a30,x7443),f25(x7442))),f17(f8(a20,x7444)),a46)+P6(f11(a21,x7442,f28(f34(a37,x7442),f31(f58(x7442,x7441,x7443,x7444),f31(f25(x7441),f31(f34(a30,x7443),f28(f34(a37,x7441),f31(f34(a30,x7443),f25(x7442)))))))),f19(x7444,a2),a2)
% 0.85/0.88 [705]P6(x7054,a4,a44)+~P6(x7055,a36,f45(a2))+E(x7051,f28(f34(a37,x7052),f31(f34(a30,x7053),f25(x7054))))+~P6(f28(f34(a37,x7054),f31(x7056,f31(f25(x7052),f31(f34(a30,x7053),x7051)))),f17(f8(a20,x7055)),a46)
% 0.85/0.88 [719]P6(x7191,a4,a44)+~P6(x7192,a36,f45(a2))+~P6(x7193,f43(a37,f38(f48(a44,a1)),a44,a47),a47)+~P6(f28(f34(a37,x7191),f31(x7194,f31(f25(x7195),f31(f34(a30,x7193),x7196)))),f17(f8(a20,x7192)),a46)
% 0.85/0.88 [725]P6(x7251,a4,a44)+~P6(x7256,a36,f45(a2))+~P6(f28(f34(a37,x7251),f31(x7252,f31(f25(x7253),f31(f34(a30,x7254),x7255)))),f17(f8(a20,x7256)),a46)+P6(f11(a21,x7251,f28(f34(a37,x7251),f31(x7252,f31(f25(x7253),f31(f34(a30,x7254),x7255))))),f19(x7256,a2),a2)
% 0.85/0.88 [723]~P6(x7235,a36,f45(a2))+P6(x7231,f18(f8(a20,x7235)),a46)+E(x7231,f28(f34(a37,x7232),f31(f34(a30,x7233),f25(x7234))))+~P6(f11(x7236,x7234,f28(f34(a37,x7234),f31(f29(x7237),f31(f25(x7232),f31(f34(a30,x7233),x7231))))),f19(x7235,a2),a2)
% 0.85/0.88 [730]~P6(x7302,a36,f45(a2))+P6(x7301,f18(f8(a20,x7302)),a46)+~P6(x7303,f43(a37,f38(f48(a44,a1)),a44,a47),a47)+~P6(f11(x7304,x7305,f28(f34(a37,x7305),f31(f29(x7306),f31(f25(x7307),f31(f34(a30,x7303),x7301))))),f19(x7302,a2),a2)
% 0.85/0.88 [733]~P4(x7334)+~P6(f11(x7335,x7336,f28(x7333,f29(x7332))),f19(x7334,a2),a2)+~P6(f11(a21,x7336,f28(f34(a37,x7336),f31(f29(x7331),f31(f25(x7335),f31(f34(a30,x7333),x7337))))),f19(x7334,a2),a2)+P4(f16(f10(a20,f31(f29(x7331),f31(f29(x7332),f34(a30,x7333)))),x7334,a2))
% 0.85/0.88 [736]~P6(x7364,a36,f45(a2))+~P6(f11(x7365,x7366,f28(x7363,f29(x7362))),f19(x7364,a2),a2)+P6(f16(f10(a20,f31(f29(x7361),f31(f29(x7362),f34(a30,x7363)))),x7364,a2),a36,f45(a2))+~P6(f11(a21,x7366,f28(f34(a37,x7366),f31(f29(x7361),f31(f25(x7365),f31(f34(a30,x7363),x7367))))),f19(x7364,a2),a2)
% 0.85/0.88 [739]E(x7391,x7392)+~P6(x7393,a36,f45(a2))+~P6(f11(a21,x7398,f28(f34(a37,x7398),f31(x7399,f31(f25(x73910),f31(f34(a30,x7397),x7392))))),f19(x7393,a2),a2)+~P6(f11(a21,x7394,f28(f34(a37,x7394),f31(x7395,f31(f25(x7396),f31(f34(a30,x7397),x7391))))),f19(x7393,a2),a2)
% 0.85/0.88 [740]E(x7401,x7402)+~P6(x7403,a36,f45(a2))+~P6(f11(a21,x7408,f28(f34(a37,x7408),f31(x7409,f31(f25(x7402),f31(f34(a30,x7406),x74010))))),f19(x7403,a2),a2)+~P6(f11(a21,x7404,f28(f34(a37,x7404),f31(x7405,f31(f25(x7401),f31(f34(a30,x7406),x7407))))),f19(x7403,a2),a2)
% 0.85/0.88 [741]E(x7411,x7412)+~P6(x7413,a36,f45(a2))+~P6(f11(a21,x7418,f28(f34(a37,x7418),f31(x7412,f31(f25(x7419),f31(f34(a30,x7416),x74110))))),f19(x7413,a2),a2)+~P6(f11(a21,x7414,f28(f34(a37,x7414),f31(x7411,f31(f25(x7415),f31(f34(a30,x7416),x7417))))),f19(x7413,a2),a2)
% 0.85/0.88 [742]E(x7421,x7422)+~P6(x7423,a36,f45(a2))+~P6(f11(a21,x7421,f28(f34(a37,x7421),f31(x7428,f31(f25(x7429),f31(f34(a30,x7426),x74210))))),f19(x7423,a2),a2)+~P6(f11(a21,x7422,f28(f34(a37,x7422),f31(x7424,f31(f25(x7425),f31(f34(a30,x7426),x7427))))),f19(x7423,a2),a2)
% 0.85/0.88 [693]E(x6931,x6932)+~P6(x6933,a36,f45(a2))+P6(f34(a30,x6931),f18(f8(a20,x6933)),a46)+P6(x6932,f43(a37,f38(f48(a44,a1)),a44,a47),a47)+~P6(f34(a30,x6931),f18(f42(f34(a30,x6932),f8(a20,x6933),a46)),a46)
% 0.85/0.88 [743]P6(x7431,x7432,a47)+~P8(x7432,f15(f43(a37,f38(f48(a44,a1)),a44,a47),f48(a47,a1)),f48(a47,a1))+~P6(x7433,a36,f45(a2))+P6(f34(a30,x7431),f18(f8(a20,x7433)),a46)+~P6(f34(a30,x7431),f18(f6(f43(a30,x7432,a47,a46),f8(a20,x7433),f48(a46,a1))),a46)
% 0.85/0.88 [696]~P4(x6962)+~P6(x6965,a33,a47)+P6(f29(x6961),f7(x6962),a46)+~P6(f11(x6966,x6963,f28(f34(a37,x6963),f31(f34(a30,x6965),f25(x6964)))),f19(x6962,a2),a2)+P4(f16(f11(x6963,x6964,f28(x6965,f29(x6961))),x6962,a2))
% 0.85/0.88 [706]~P6(x7065,a33,a47)+P6(f29(x7061),f7(x7062),a46)+~P6(x7062,a36,f45(a2))+~P6(f11(x7066,x7063,f28(f34(a37,x7063),f31(f34(a30,x7065),f25(x7064)))),f19(x7062,a2),a2)+P6(f16(f11(x7063,x7064,f28(x7065,f29(x7061))),x7062,a2),a36,f45(a2))
% 0.85/0.88 [747]~P4(x7472)+~P6(x7471,a33,a47)+P6(f34(a30,x7471),f7(x7472),a46)+~P6(f11(x7476,a21,f31(f25(x7473),f31(f25(x7475),f29(x7474)))),f19(x7472,a2),a2)+P4(f16(f11(a21,x7473,f28(f34(a37,x7473),f31(f29(x7474),f31(f25(x7475),f31(f34(a30,x7471),f28(f34(a37,x7475),f31(f34(a30,x7471),f25(x7473)))))))),x7472,a2))
% 0.85/0.88 [748]~P6(x7481,a33,a47)+P6(f34(a30,x7481),f7(x7482),a46)+~P6(x7482,a36,f45(a2))+~P6(f11(x7486,a21,f31(f25(x7483),f31(f25(x7485),f29(x7484)))),f19(x7482,a2),a2)+P6(f16(f11(a21,x7483,f28(f34(a37,x7483),f31(f29(x7484),f31(f25(x7485),f31(f34(a30,x7481),f28(f34(a37,x7485),f31(f34(a30,x7481),f25(x7483)))))))),x7482,a2),a36,f45(a2))
% 0.85/0.88 [726]~P6(x7262,a36,f45(a2))+~P6(f28(x7261,f29(x7265)),f17(f8(a20,x7262)),a46)+P6(f34(a30,x7261),f18(f8(a20,x7262)),a46)+P6(f11(x7263,x7264,f28(x7261,f29(x7265))),f19(x7262,a2),a2)+~P6(f11(a21,x7264,f28(f34(a37,x7264),f31(x7266,f31(f25(x7263),f31(f34(a30,x7261),x7267))))),f19(x7262,a2),a2)
% 0.85/0.88 [727]~P6(x7272,a36,f45(a2))+~P6(f28(x7271,f29(x7275)),f17(f8(a20,x7272)),a46)+P6(f11(f60(x7273,x7274,x7272),x7273,x7274),f19(x7272,a2),a2)+P6(f34(a30,x7271),f18(f8(a20,x7272)),a46)+~P6(f11(a21,x7276,f28(f34(a37,x7276),f31(x7277,f31(f25(x7273),f31(f34(a30,x7271),x7274))))),f19(x7272,a2),a2)
% 0.85/0.88 [729]~P4(x7294)+E(x7291,a21)+~P6(f11(x7291,a21,f31(f25(x7291),f31(f25(x7292),f29(x7295)))),f19(x7294,a2),a2)+P4(f16(f11(x7291,x7292,x7293),x7294,a2))+~P6(f11(x7296,x7291,f28(f34(a37,x7291),f31(f29(x7295),f31(f25(x7292),f31(f34(a30,x7297),x7293))))),f19(x7294,a2),a2)
% 0.85/0.88 [731]E(x7311,a21)+~P6(x7314,a36,f45(a2))+P6(f16(f11(x7311,x7312,x7313),x7314,a2),a36,f45(a2))+~P6(f11(x7311,a21,f31(f25(x7311),f31(f25(x7312),f29(x7315)))),f19(x7314,a2),a2)+~P6(f11(x7316,x7311,f28(f34(a37,x7311),f31(f29(x7315),f31(f25(x7312),f31(f34(a30,x7317),x7313))))),f19(x7314,a2),a2)
% 0.85/0.88 [732]~P4(x7325)+~P6(x7323,a33,a47)+~P6(f11(x7326,x7321,f28(x7323,f29(x7324))),f19(x7325,a2),a2)+~P6(f11(x7327,x7321,f28(f34(a37,x7321),f31(f29(x7328),f31(f25(x7322),f31(f34(a30,x7323),x7329))))),f19(x7325,a2),a2)+P4(f16(f11(x7321,x7322,f28(x7323,f31(f29(x7324),f29(x7324)))),x7325,a2))
% 0.85/0.88 [734]~P6(x7343,a33,a47)+~P6(x7345,a36,f45(a2))+~P6(f11(x7346,x7341,f28(x7343,f29(x7344))),f19(x7345,a2),a2)+P6(f16(f11(x7341,x7342,f28(x7343,f31(f29(x7344),f29(x7344)))),x7345,a2),a36,f45(a2))+~P6(f11(x7347,x7341,f28(f34(a37,x7341),f31(f29(x7348),f31(f25(x7342),f31(f34(a30,x7343),x7349))))),f19(x7345,a2),a2)
% 0.85/0.88 [663]E(x6631,a20)+~P6(x6632,f8(x6631,x6633),a46)+P6(f9(x6631,x6632),f19(x6633,a2),a2)+P6(f10(x6631,x6632),f19(x6633,a2),a2)+P6(f11(x6631,f14(x6631,x6632,x6633),x6632),f19(x6633,a2),a2)+P6(x6632,f8(x6631,f3(a2)),a46)
% 0.85/0.88 [679]P5(x6792,x6791,f28(x6793,f29(x6794)),x6795)+P6(x6791,a4,a44)+P6(x6792,a4,a44)+~P6(x6795,a36,f45(a2))+P6(f34(a30,x6793),f18(f8(a20,x6795)),a46)+~P6(f11(x6792,x6791,f28(x6793,f29(x6794))),f19(x6795,a2),a2)
% 0.85/0.88 [746]P6(x7461,a4,a44)+P6(x7462,a4,a44)+~P6(x7465,a36,f45(a2))+~P6(f34(a30,x7464),f18(f8(a20,x7465)),a46)+P6(f10(a20,f31(x7463,f31(f62(x7464,x7463,x7465),f34(a30,x7464)))),f19(x7465,a2),a2)+~P6(f11(a21,x7461,f28(f34(a37,x7461),f31(x7463,f31(f25(x7462),f31(f34(a30,x7464),f28(f34(a37,x7462),f31(f34(a30,x7464),f25(x7461)))))))),f19(x7465,a2),a2)
% 0.85/0.88 [745]P6(x7451,a4,a44)+~P6(x7453,a36,f45(a2))+P6(f34(a30,x7452),f18(f8(a20,x7453)),a46)+~P6(f28(x7452,f31(f29(x7455),f29(x7455))),f17(f8(a20,x7453)),a46)+P6(f11(x7454,x7451,f28(x7452,f31(f29(x7455),f29(x7455)))),f19(x7453,a2),a2)+~P6(f11(a21,x7454,f28(f34(a37,x7454),f31(x7456,f31(f25(x7451),f31(f34(a30,x7452),f28(f34(a37,x7451),f31(f34(a30,x7452),f25(x7454)))))))),f19(x7453,a2),a2)
% 0.85/0.88 [735]P6(x7351,a4,a44)+P6(x7352,a4,a44)+~P6(x7355,a36,f45(a2))+~P6(f34(a30,x7354),f18(f8(a20,x7355)),a46)+P6(f10(a20,f31(x7353,f31(f61(x7354,x7353,x7355),f34(a30,x7354)))),f19(x7355,a2),a2)+~P6(f11(a21,x7351,f28(x7356,f31(x7353,f31(f25(x7352),f31(f34(a30,x7354),x7357))))),f19(x7355,a2),a2)
% 0.85/0.88 [709]P6(x7091,a4,a44)+P6(x7092,a4,a44)+~P6(x7095,a36,f45(a2))+~P6(f28(x7093,f31(f29(x7094),f29(x7094))),f17(f8(a20,x7095)),a46)+~P6(f28(f34(a37,x7091),f31(f34(a30,x7093),f25(x7092))),f17(f8(a20,x7095)),a46)+P6(f11(x7092,x7091,f28(x7093,f31(f29(x7094),f29(x7094)))),f19(x7095,a2),a2)+P6(f10(a20,f31(f56(x7093,x7095),f31(f59(x7093,x7095),f34(a30,x7093)))),f19(x7095,a2),a2)
% 0.85/0.88 [710]P5(x7102,x7101,f28(x7103,f29(x7104)),x7105)+P6(x7101,a4,a44)+P6(x7102,a4,a44)+~P6(x7105,a36,f45(a2))+~P6(f28(x7103,f29(x7104)),f17(f8(a20,x7105)),a46)+P6(f34(a30,x7103),f18(f8(a20,x7105)),a46)+~P6(f28(f34(a37,x7101),f31(x7106,f31(f25(x7102),f31(f34(a30,x7103),x7107)))),f17(f8(a20,x7105)),a46)
% 0.85/0.88 [724]P6(x7241,a4,a44)+P6(x7242,a4,a44)+~P6(x7245,a36,f45(a2))+~P6(f28(x7243,f29(x7244)),f17(f8(a20,x7245)),a46)+P6(f11(x7242,x7241,f28(x7243,f29(x7244))),f19(x7245,a2),a2)+P6(f10(a20,f31(x7246,f31(f57(x7243,x7246,x7245),f34(a30,x7243)))),f19(x7245,a2),a2)+~P6(f28(f34(a37,x7241),f31(x7246,f31(f25(x7242),f31(f34(a30,x7243),x7247)))),f17(f8(a20,x7245)),a46)
% 0.85/0.88 %EqnAxiom
% 0.85/0.88 [1]E(x11,x11)
% 0.85/0.88 [2]E(x22,x21)+~E(x21,x22)
% 0.85/0.88 [3]E(x31,x33)+~E(x31,x32)+~E(x32,x33)
% 0.85/0.88 [4]~E(x41,x42)+E(f3(x41),f3(x42))
% 0.85/0.88 [5]~E(x51,x52)+E(f17(x51),f17(x52))
% 0.85/0.88 [6]~E(x61,x62)+E(f34(x61,x63),f34(x62,x63))
% 0.85/0.88 [7]~E(x71,x72)+E(f34(x73,x71),f34(x73,x72))
% 0.85/0.88 [8]~E(x81,x82)+E(f25(x81),f25(x82))
% 0.85/0.88 [9]~E(x91,x92)+E(f18(x91),f18(x92))
% 0.85/0.88 [10]~E(x101,x102)+E(f19(x101,x103),f19(x102,x103))
% 0.85/0.88 [11]~E(x111,x112)+E(f19(x113,x111),f19(x113,x112))
% 0.85/0.88 [12]~E(x121,x122)+E(f11(x121,x123,x124),f11(x122,x123,x124))
% 0.85/0.88 [13]~E(x131,x132)+E(f11(x133,x131,x134),f11(x133,x132,x134))
% 0.85/0.88 [14]~E(x141,x142)+E(f11(x143,x144,x141),f11(x143,x144,x142))
% 0.85/0.88 [15]~E(x151,x152)+E(f7(x151),f7(x152))
% 0.85/0.88 [16]~E(x161,x162)+E(f31(x161,x163),f31(x162,x163))
% 0.85/0.88 [17]~E(x171,x172)+E(f31(x173,x171),f31(x173,x172))
% 0.85/0.88 [18]~E(x181,x182)+E(f42(x181,x183,x184),f42(x182,x183,x184))
% 0.85/0.88 [19]~E(x191,x192)+E(f42(x193,x191,x194),f42(x193,x192,x194))
% 0.85/0.88 [20]~E(x201,x202)+E(f42(x203,x204,x201),f42(x203,x204,x202))
% 0.85/0.88 [21]~E(x211,x212)+E(f35(x211),f35(x212))
% 0.85/0.88 [22]~E(x221,x222)+E(f28(x221,x223),f28(x222,x223))
% 0.85/0.88 [23]~E(x231,x232)+E(f28(x233,x231),f28(x233,x232))
% 0.85/0.88 [24]~E(x241,x242)+E(f8(x241,x243),f8(x242,x243))
% 0.85/0.88 [25]~E(x251,x252)+E(f8(x253,x251),f8(x253,x252))
% 0.85/0.88 [26]~E(x261,x262)+E(f32(x261),f32(x262))
% 0.85/0.88 [27]~E(x271,x272)+E(f48(x271,x273),f48(x272,x273))
% 0.85/0.88 [28]~E(x281,x282)+E(f48(x283,x281),f48(x283,x282))
% 0.85/0.88 [29]~E(x291,x292)+E(f29(x291),f29(x292))
% 0.85/0.88 [30]~E(x301,x302)+E(f16(x301,x303,x304),f16(x302,x303,x304))
% 0.85/0.88 [31]~E(x311,x312)+E(f16(x313,x311,x314),f16(x313,x312,x314))
% 0.85/0.88 [32]~E(x321,x322)+E(f16(x323,x324,x321),f16(x323,x324,x322))
% 0.85/0.88 [33]~E(x331,x332)+E(f27(x331),f27(x332))
% 0.85/0.88 [34]~E(x341,x342)+E(f39(x341),f39(x342))
% 0.85/0.88 [35]~E(x351,x352)+E(f43(x351,x353,x354,x355),f43(x352,x353,x354,x355))
% 0.85/0.88 [36]~E(x361,x362)+E(f43(x363,x361,x364,x365),f43(x363,x362,x364,x365))
% 0.85/0.88 [37]~E(x371,x372)+E(f43(x373,x374,x371,x375),f43(x373,x374,x372,x375))
% 0.85/0.88 [38]~E(x381,x382)+E(f43(x383,x384,x385,x381),f43(x383,x384,x385,x382))
% 0.85/0.88 [39]~E(x391,x392)+E(f15(x391,x393),f15(x392,x393))
% 0.85/0.88 [40]~E(x401,x402)+E(f15(x403,x401),f15(x403,x402))
% 0.85/0.88 [41]~E(x411,x412)+E(f38(x411),f38(x412))
% 0.85/0.88 [42]~E(x421,x422)+E(f6(x421,x423,x424),f6(x422,x423,x424))
% 0.85/0.88 [43]~E(x431,x432)+E(f6(x433,x431,x434),f6(x433,x432,x434))
% 0.85/0.88 [44]~E(x441,x442)+E(f6(x443,x444,x441),f6(x443,x444,x442))
% 0.85/0.88 [45]~E(x451,x452)+E(f5(x451,x453,x454),f5(x452,x453,x454))
% 0.85/0.88 [46]~E(x461,x462)+E(f5(x463,x461,x464),f5(x463,x462,x464))
% 0.85/0.88 [47]~E(x471,x472)+E(f5(x473,x474,x471),f5(x473,x474,x472))
% 0.85/0.88 [48]~E(x481,x482)+E(f45(x481),f45(x482))
% 0.85/0.88 [49]~E(x491,x492)+E(f9(x491,x493),f9(x492,x493))
% 0.85/0.88 [50]~E(x501,x502)+E(f9(x503,x501),f9(x503,x502))
% 0.85/0.88 [51]~E(x511,x512)+E(f10(x511,x513),f10(x512,x513))
% 0.85/0.88 [52]~E(x521,x522)+E(f10(x523,x521),f10(x523,x522))
% 0.85/0.88 [53]~E(x531,x532)+E(f14(x531,x533,x534),f14(x532,x533,x534))
% 0.85/0.88 [54]~E(x541,x542)+E(f14(x543,x541,x544),f14(x543,x542,x544))
% 0.85/0.88 [55]~E(x551,x552)+E(f14(x553,x554,x551),f14(x553,x554,x552))
% 0.85/0.88 [56]~E(x561,x562)+E(f22(x561,x563,x564),f22(x562,x563,x564))
% 0.85/0.88 [57]~E(x571,x572)+E(f22(x573,x571,x574),f22(x573,x572,x574))
% 0.85/0.88 [58]~E(x581,x582)+E(f22(x583,x584,x581),f22(x583,x584,x582))
% 0.85/0.88 [59]~E(x591,x592)+E(f26(x591),f26(x592))
% 0.85/0.88 [60]~E(x601,x602)+E(f23(x601,x603,x604),f23(x602,x603,x604))
% 0.85/0.88 [61]~E(x611,x612)+E(f23(x613,x611,x614),f23(x613,x612,x614))
% 0.85/0.88 [62]~E(x621,x622)+E(f23(x623,x624,x621),f23(x623,x624,x622))
% 0.85/0.88 [63]~E(x631,x632)+E(f57(x631,x633,x634),f57(x632,x633,x634))
% 0.85/0.88 [64]~E(x641,x642)+E(f57(x643,x641,x644),f57(x643,x642,x644))
% 0.85/0.88 [65]~E(x651,x652)+E(f57(x653,x654,x651),f57(x653,x654,x652))
% 0.85/0.88 [66]~E(x661,x662)+E(f12(x661,x663),f12(x662,x663))
% 0.85/0.88 [67]~E(x671,x672)+E(f12(x673,x671),f12(x673,x672))
% 0.85/0.88 [68]~E(x681,x682)+E(f58(x681,x683,x684,x685),f58(x682,x683,x684,x685))
% 0.85/0.88 [69]~E(x691,x692)+E(f58(x693,x691,x694,x695),f58(x693,x692,x694,x695))
% 0.85/0.88 [70]~E(x701,x702)+E(f58(x703,x704,x701,x705),f58(x703,x704,x702,x705))
% 0.85/0.88 [71]~E(x711,x712)+E(f58(x713,x714,x715,x711),f58(x713,x714,x715,x712))
% 0.85/0.88 [72]~E(x721,x722)+E(f56(x721,x723),f56(x722,x723))
% 0.85/0.88 [73]~E(x731,x732)+E(f56(x733,x731),f56(x733,x732))
% 0.85/0.88 [74]~E(x741,x742)+E(f55(x741,x743,x744,x745),f55(x742,x743,x744,x745))
% 0.85/0.88 [75]~E(x751,x752)+E(f55(x753,x751,x754,x755),f55(x753,x752,x754,x755))
% 0.85/0.88 [76]~E(x761,x762)+E(f55(x763,x764,x761,x765),f55(x763,x764,x762,x765))
% 0.85/0.88 [77]~E(x771,x772)+E(f55(x773,x774,x775,x771),f55(x773,x774,x775,x772))
% 0.85/0.88 [78]~E(x781,x782)+E(f62(x781,x783,x784),f62(x782,x783,x784))
% 0.85/0.88 [79]~E(x791,x792)+E(f62(x793,x791,x794),f62(x793,x792,x794))
% 0.85/0.88 [80]~E(x801,x802)+E(f62(x803,x804,x801),f62(x803,x804,x802))
% 0.85/0.88 [81]~E(x811,x812)+E(f61(x811,x813,x814),f61(x812,x813,x814))
% 0.85/0.88 [82]~E(x821,x822)+E(f61(x823,x821,x824),f61(x823,x822,x824))
% 0.85/0.88 [83]~E(x831,x832)+E(f61(x833,x834,x831),f61(x833,x834,x832))
% 0.85/0.88 [84]~E(x841,x842)+E(f13(x841,x843),f13(x842,x843))
% 0.85/0.88 [85]~E(x851,x852)+E(f13(x853,x851),f13(x853,x852))
% 0.85/0.88 [86]~E(x861,x862)+E(f59(x861,x863),f59(x862,x863))
% 0.85/0.88 [87]~E(x871,x872)+E(f59(x873,x871),f59(x873,x872))
% 0.85/0.88 [88]~E(x881,x882)+E(f60(x881,x883,x884),f60(x882,x883,x884))
% 0.85/0.88 [89]~E(x891,x892)+E(f60(x893,x891,x894),f60(x893,x892,x894))
% 0.85/0.88 [90]~E(x901,x902)+E(f60(x903,x904,x901),f60(x903,x904,x902))
% 0.85/0.88 [91]~P1(x911)+P1(x912)+~E(x911,x912)
% 0.85/0.88 [92]~P9(x921)+P9(x922)+~E(x921,x922)
% 0.85/0.88 [93]~P4(x931)+P4(x932)+~E(x931,x932)
% 0.85/0.88 [94]~P2(x941)+P2(x942)+~E(x941,x942)
% 0.85/0.88 [95]~P14(x951)+P14(x952)+~E(x951,x952)
% 0.85/0.88 [96]P6(x962,x963,x964)+~E(x961,x962)+~P6(x961,x963,x964)
% 0.85/0.88 [97]P6(x973,x972,x974)+~E(x971,x972)+~P6(x973,x971,x974)
% 0.85/0.88 [98]P6(x983,x984,x982)+~E(x981,x982)+~P6(x983,x984,x981)
% 0.85/0.88 [99]~P10(x991)+P10(x992)+~E(x991,x992)
% 0.85/0.88 [100]P8(x1002,x1003,x1004)+~E(x1001,x1002)+~P8(x1001,x1003,x1004)
% 0.85/0.88 [101]P8(x1013,x1012,x1014)+~E(x1011,x1012)+~P8(x1013,x1011,x1014)
% 0.85/0.88 [102]P8(x1023,x1024,x1022)+~E(x1021,x1022)+~P8(x1023,x1024,x1021)
% 0.85/0.88 [103]~P16(x1031)+P16(x1032)+~E(x1031,x1032)
% 0.85/0.88 [104]~P17(x1041)+P17(x1042)+~E(x1041,x1042)
% 0.85/0.88 [105]~P13(x1051)+P13(x1052)+~E(x1051,x1052)
% 0.85/0.88 [106]~P15(x1061)+P15(x1062)+~E(x1061,x1062)
% 0.85/0.88 [107]~P11(x1071)+P11(x1072)+~E(x1071,x1072)
% 0.85/0.88 [108]~P3(x1081)+P3(x1082)+~E(x1081,x1082)
% 0.85/0.88 [109]P7(x1092,x1093,x1094)+~E(x1091,x1092)+~P7(x1091,x1093,x1094)
% 0.85/0.88 [110]P7(x1103,x1102,x1104)+~E(x1101,x1102)+~P7(x1103,x1101,x1104)
% 0.85/0.88 [111]P7(x1113,x1114,x1112)+~E(x1111,x1112)+~P7(x1113,x1114,x1111)
% 0.85/0.88 [112]~P18(x1121)+P18(x1122)+~E(x1121,x1122)
% 0.85/0.88 [113]P5(x1132,x1133,x1134,x1135)+~E(x1131,x1132)+~P5(x1131,x1133,x1134,x1135)
% 0.85/0.88 [114]P5(x1143,x1142,x1144,x1145)+~E(x1141,x1142)+~P5(x1143,x1141,x1144,x1145)
% 0.85/0.88 [115]P5(x1153,x1154,x1152,x1155)+~E(x1151,x1152)+~P5(x1153,x1154,x1151,x1155)
% 0.85/0.88 [116]P5(x1163,x1164,x1165,x1162)+~E(x1161,x1162)+~P5(x1163,x1164,x1165,x1161)
% 0.85/0.88 [117]~P12(x1171)+P12(x1172)+~E(x1171,x1172)
% 0.85/0.88
% 0.85/0.88 %-------------------------------------------
% 0.85/0.88 cnf(749,plain,
% 0.85/0.88 ($false),
% 0.85/0.88 inference(scs_inference,[],[214,366]),
% 0.85/0.88 ['proof']).
% 0.85/0.88 % SZS output end Proof
% 0.85/0.88 % Total time :0.030000s
%------------------------------------------------------------------------------