TSTP Solution File: SWV801-1 by CSE---1.6
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%------------------------------------------------------------------------------
% File : CSE---1.6
% Problem : SWV801-1 : 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 21:35:17 EDT 2023
% Result : Unsatisfiable 0.74s 0.97s
% Output : CNFRefutation 0.89s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SWV801-1 : 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
% 0.12/0.33 % Computer : n019.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 300
% 0.12/0.33 % DateTime : Tue Aug 29 06:55:42 EDT 2023
% 0.12/0.33 % CPUTime :
% 0.19/0.55 start to proof:theBenchmark
% 0.74/0.93 %-------------------------------------------
% 0.74/0.93 % File :CSE---1.6
% 0.74/0.93 % Problem :theBenchmark
% 0.74/0.93 % Transform :cnf
% 0.74/0.93 % Format :tptp:raw
% 0.74/0.93 % Command :java -jar mcs_scs.jar %d %s
% 0.74/0.93
% 0.74/0.93 % Result :Theorem 0.140000s
% 0.74/0.93 % Output :CNFRefutation 0.140000s
% 0.74/0.93 %-------------------------------------------
% 0.74/0.93 %------------------------------------------------------------------------------
% 0.74/0.93 % File : SWV801-1 : TPTP v8.1.2. Released v4.1.0.
% 0.74/0.93 % Domain : Software Verification
% 0.74/0.93 % Problem : Needham-Schroeder shared-key protocol 478_1
% 0.74/0.93 % Version : Especial.
% 0.74/0.93 % English :
% 0.74/0.93
% 0.74/0.93 % Refs : [BAN89] Burrows et al. (1989), A Logic of Authentication
% 0.74/0.93 % : [Nip10] Nipkow (2010), Email to Geoff Sutcliffe
% 0.74/0.93 % : [BN10] Boehme & Nipkow (2010), Sledgehammer: Judgement Day
% 0.74/0.93 % Source : [Nip10]
% 0.74/0.93 % Names : NS_Shared-478_1 [Nip10]
% 0.74/0.93
% 0.74/0.93 % Status : Unsatisfiable
% 0.74/0.93 % Rating : 0.10 v8.1.0, 0.11 v7.4.0, 0.12 v7.3.0, 0.00 v7.0.0, 0.13 v6.3.0, 0.09 v6.2.0, 0.20 v6.1.0, 0.21 v6.0.0, 0.20 v5.5.0, 0.60 v5.3.0, 0.61 v5.2.0, 0.50 v5.1.0, 0.53 v5.0.0, 0.50 v4.1.0
% 0.74/0.93 % Syntax : Number of clauses : 577 ( 221 unt; 59 nHn; 340 RR)
% 0.74/0.93 % Number of literals : 1176 ( 293 equ; 585 neg)
% 0.74/0.93 % Maximal clause size : 7 ( 2 avg)
% 0.74/0.93 % Maximal term depth : 10 ( 2 avg)
% 0.74/0.93 % Number of predicates : 20 ( 19 usr; 0 prp; 1-4 aty)
% 0.74/0.93 % Number of functors : 67 ( 67 usr; 24 con; 0-4 aty)
% 0.74/0.93 % Number of variables : 1786 ( 455 sgn)
% 0.74/0.93 % SPC : CNF_UNS_RFO_SEQ_NHN
% 0.74/0.93
% 0.74/0.93 % Comments :
% 0.74/0.93 %------------------------------------------------------------------------------
% 0.74/0.93 cnf(cls_subset__Un__eq_1,axiom,
% 0.74/0.93 ( c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_a,tc_bool)) != V_B
% 0.74/0.93 | c_lessequals(V_A,V_B,tc_fun(T_a,tc_bool)) ) ).
% 0.74/0.93
% 0.74/0.93 cnf(cls_set__append_0,axiom,
% 0.74/0.93 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)) ).
% 0.74/0.93
% 0.74/0.93 cnf(cls_parts__insert__subset_0,axiom,
% 0.74/0.93 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)) ).
% 0.74/0.93
% 0.74/0.93 cnf(cls_list_Osimps_I2_J_0,axiom,
% 0.74/0.93 c_List_Olist_ONil(T_a) != c_List_Olist_OCons(V_a_H,V_list_H,T_a) ).
% 0.74/0.93
% 0.74/0.93 cnf(cls_distinct_Osimps_I1_J_0,axiom,
% 0.74/0.93 c_List_Odistinct(c_List_Olist_ONil(T_a),T_a) ).
% 0.74/0.93
% 0.74/0.93 cnf(cls_analz__image__freshK__simps_I57_J_0,axiom,
% 0.74/0.93 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) ).
% 0.74/0.93
% 0.74/0.93 cnf(cls_image__insert_0,axiom,
% 0.74/0.93 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) ).
% 0.74/0.93
% 0.74/0.93 cnf(cls_Un__mono_0,axiom,
% 0.74/0.93 ( 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))
% 0.74/0.93 | ~ c_lessequals(V_B,V_D,tc_fun(T_a,tc_bool))
% 0.74/0.93 | ~ c_lessequals(V_A,V_C,tc_fun(T_a,tc_bool)) ) ).
% 0.74/0.93
% 0.74/0.93 cnf(cls_subset__UNIV_0,axiom,
% 0.74/0.93 c_lessequals(V_A,c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)) ).
% 0.74/0.93
% 0.74/0.93 cnf(cls_top__greatest_0,axiom,
% 0.74/0.93 ( ~ class_Orderings_Otop(T_a)
% 0.74/0.93 | c_lessequals(V_x,c_Orderings_Otop__class_Otop(T_a),T_a) ) ).
% 0.74/0.93
% 0.74/0.93 cnf(cls_insert__code_1,axiom,
% 0.74/0.93 hBOOL(hAPP(c_Set_Oinsert(V_x,V_A,T_a),V_x)) ).
% 0.74/0.93
% 0.74/0.93 cnf(cls_insert__subset_2,axiom,
% 0.74/0.93 ( c_lessequals(c_Set_Oinsert(V_x,V_A,T_a),V_B,tc_fun(T_a,tc_bool))
% 0.74/0.93 | ~ c_lessequals(V_A,V_B,tc_fun(T_a,tc_bool))
% 0.74/0.93 | ~ c_in(V_x,V_B,T_a) ) ).
% 0.74/0.93
% 0.74/0.93 cnf(cls_invKey_0,axiom,
% 0.74/0.93 c_Message_OinvKey(c_Message_OinvKey(V_K)) = V_K ).
% 0.74/0.93
% 0.74/0.93 cnf(cls_remdups__eq__nil__iff_0,axiom,
% 0.74/0.93 ( c_List_Oremdups(V_x,T_a) != c_List_Olist_ONil(T_a)
% 0.74/0.93 | V_x = c_List_Olist_ONil(T_a) ) ).
% 0.74/0.93
% 0.74/0.93 cnf(cls_append__self__conv_0,axiom,
% 0.74/0.93 ( c_List_Oappend(V_xs,V_ys,T_a) != V_xs
% 0.74/0.93 | V_ys = c_List_Olist_ONil(T_a) ) ).
% 0.74/0.93
% 0.74/0.93 cnf(cls_self__append__conv_0,axiom,
% 0.74/0.93 ( V_xs != c_List_Oappend(V_xs,V_ys,T_a)
% 0.74/0.93 | V_ys = c_List_Olist_ONil(T_a) ) ).
% 0.74/0.93
% 0.74/0.93 cnf(cls_append__self__conv2_0,axiom,
% 0.74/0.93 ( c_List_Oappend(V_xs,V_ys,T_a) != V_ys
% 0.74/0.93 | V_xs = c_List_Olist_ONil(T_a) ) ).
% 0.74/0.93
% 0.74/0.93 cnf(cls_self__append__conv2_0,axiom,
% 0.74/0.93 ( V_ys != c_List_Oappend(V_xs,V_ys,T_a)
% 0.74/0.93 | V_xs = c_List_Olist_ONil(T_a) ) ).
% 0.74/0.93
% 0.74/0.93 cnf(cls_append__eq__Cons__conv_4,axiom,
% 0.74/0.93 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) ).
% 0.74/0.93
% 0.74/0.93 cnf(cls_distinct__remdups_0,axiom,
% 0.74/0.93 c_List_Odistinct(c_List_Oremdups(V_xs,T_a),T_a) ).
% 0.74/0.93
% 0.74/0.93 cnf(cls_remdups__eq__nil__right__iff_1,axiom,
% 0.74/0.93 c_List_Olist_ONil(T_a) = c_List_Oremdups(c_List_Olist_ONil(T_a),T_a) ).
% 0.74/0.93
% 0.74/0.93 cnf(cls_event_Osimps_I9_J_0,axiom,
% 0.74/0.93 c_Event_Oevent_ONotes(V_agent_H,V_msg_H) != c_Event_Oevent_OGets(V_agent,V_msg) ).
% 0.74/0.93
% 0.74/0.93 cnf(cls_synth__trans_0,axiom,
% 0.74/0.93 ( c_in(V_X,c_Message_Osynth(V_H),tc_Message_Omsg)
% 0.74/0.93 | ~ c_lessequals(V_G,c_Message_Osynth(V_H),tc_fun(tc_Message_Omsg,tc_bool))
% 0.74/0.94 | ~ c_in(V_X,c_Message_Osynth(V_G),tc_Message_Omsg) ) ).
% 0.74/0.94
% 0.74/0.94 cnf(cls_synth__increasing_0,axiom,
% 0.74/0.94 c_lessequals(V_H,c_Message_Osynth(V_H),tc_fun(tc_Message_Omsg,tc_bool)) ).
% 0.74/0.94
% 0.74/0.94 cnf(cls_knows__Nil_0,axiom,
% 0.74/0.94 c_Event_Oknows(V_A,c_List_Olist_ONil(tc_Event_Oevent)) = c_Event_OinitState(V_A) ).
% 0.74/0.94
% 0.74/0.94 cnf(cls_le__sup__iff_1,axiom,
% 0.74/0.94 ( ~ class_Lattices_Oupper__semilattice(T_a)
% 0.74/0.94 | c_lessequals(V_y,V_z,T_a)
% 0.74/0.94 | ~ c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(V_x,V_y,T_a),V_z,T_a) ) ).
% 0.74/0.94
% 0.74/0.94 cnf(cls_le__sup__iff_0,axiom,
% 0.74/0.94 ( ~ class_Lattices_Oupper__semilattice(T_a)
% 0.74/0.94 | c_lessequals(V_x,V_z,T_a)
% 0.74/0.94 | ~ c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(V_x,V_y,T_a),V_z,T_a) ) ).
% 0.74/0.94
% 0.74/0.94 cnf(cls_le__supI2_0,axiom,
% 0.74/0.94 ( ~ class_Lattices_Oupper__semilattice(T_a)
% 0.74/0.94 | c_lessequals(V_x,c_Lattices_Oupper__semilattice__class_Osup(V_a,V_b,T_a),T_a)
% 0.74/0.94 | ~ c_lessequals(V_x,V_b,T_a) ) ).
% 0.74/0.94
% 0.74/0.94 cnf(cls_le__supI1_0,axiom,
% 0.74/0.94 ( ~ class_Lattices_Oupper__semilattice(T_a)
% 0.74/0.94 | c_lessequals(V_x,c_Lattices_Oupper__semilattice__class_Osup(V_a,V_b,T_a),T_a)
% 0.74/0.94 | ~ c_lessequals(V_x,V_a,T_a) ) ).
% 0.74/0.94
% 0.74/0.94 cnf(cls_le__supE_1,axiom,
% 0.74/0.94 ( ~ class_Lattices_Oupper__semilattice(T_a)
% 0.74/0.94 | c_lessequals(V_b,V_x,T_a)
% 0.74/0.94 | ~ c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(V_a,V_b,T_a),V_x,T_a) ) ).
% 0.74/0.94
% 0.74/0.94 cnf(cls_le__supE_0,axiom,
% 0.74/0.94 ( ~ class_Lattices_Oupper__semilattice(T_a)
% 0.74/0.94 | c_lessequals(V_a,V_x,T_a)
% 0.74/0.94 | ~ c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(V_a,V_b,T_a),V_x,T_a) ) ).
% 0.74/0.94
% 0.74/0.94 cnf(cls_Un__subset__iff_0,axiom,
% 0.74/0.94 ( c_lessequals(V_A,V_C,tc_fun(T_a,tc_bool))
% 0.74/0.94 | ~ 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)) ) ).
% 0.74/0.94
% 0.74/0.94 cnf(cls_Un__subset__iff_1,axiom,
% 0.74/0.94 ( c_lessequals(V_B,V_C,tc_fun(T_a,tc_bool))
% 0.74/0.94 | ~ 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)) ) ).
% 0.74/0.94
% 0.74/0.94 cnf(cls_xt1_I6_J_0,axiom,
% 0.74/0.94 ( ~ class_Orderings_Oorder(T_a)
% 0.74/0.94 | c_lessequals(V_z,V_x,T_a)
% 0.74/0.94 | ~ c_lessequals(V_z,V_y,T_a)
% 0.74/0.94 | ~ c_lessequals(V_y,V_x,T_a) ) ).
% 0.74/0.94
% 0.74/0.94 cnf(cls_order__trans_0,axiom,
% 0.74/0.94 ( ~ class_Orderings_Opreorder(T_a)
% 0.74/0.94 | c_lessequals(V_x,V_z,T_a)
% 0.74/0.94 | ~ c_lessequals(V_y,V_z,T_a)
% 0.74/0.94 | ~ c_lessequals(V_x,V_y,T_a) ) ).
% 0.74/0.94
% 0.74/0.94 cnf(cls_equalityE_0,axiom,
% 0.74/0.94 c_lessequals(V_x,V_x,tc_fun(T_a,tc_bool)) ).
% 0.74/0.94
% 0.74/0.94 cnf(cls_subset__refl_0,axiom,
% 0.74/0.94 c_lessequals(V_A,V_A,tc_fun(T_a,tc_bool)) ).
% 0.74/0.94
% 0.74/0.94 cnf(cls_knows__imp__Says__Gets__Notes__initState_0,axiom,
% 0.74/0.94 ( c_in(V_X,c_Event_OinitState(V_A),tc_Message_Omsg)
% 0.74/0.94 | c_in(c_Event_Oevent_ONotes(V_A,V_X),c_List_Oset(V_evs,tc_Event_Oevent),tc_Event_Oevent)
% 0.74/0.94 | c_in(c_Event_Oevent_OGets(V_A,V_X),c_List_Oset(V_evs,tc_Event_Oevent),tc_Event_Oevent)
% 0.74/0.94 | 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)
% 0.74/0.94 | V_A = c_Message_Oagent_OSpy
% 0.74/0.94 | ~ c_in(V_X,c_Event_Oknows(V_A,V_evs),tc_Message_Omsg) ) ).
% 0.74/0.94
% 0.74/0.94 cnf(cls_Un__absorb2_0,axiom,
% 0.74/0.94 ( c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_a,tc_bool)) = V_A
% 0.74/0.94 | ~ c_lessequals(V_B,V_A,tc_fun(T_a,tc_bool)) ) ).
% 0.74/0.94
% 0.74/0.94 cnf(cls_Un__absorb1_0,axiom,
% 0.74/0.94 ( c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_a,tc_bool)) = V_B
% 0.74/0.94 | ~ c_lessequals(V_A,V_B,tc_fun(T_a,tc_bool)) ) ).
% 0.74/0.94
% 0.74/0.94 cnf(cls_le__iff__sup_0,axiom,
% 0.74/0.94 ( ~ class_Lattices_Oupper__semilattice(T_a)
% 0.74/0.94 | c_Lattices_Oupper__semilattice__class_Osup(V_x,V_y,T_a) = V_y
% 0.74/0.94 | ~ c_lessequals(V_x,V_y,T_a) ) ).
% 0.74/0.94
% 0.74/0.94 cnf(cls_le__iff__sup_1,axiom,
% 0.74/0.94 ( ~ class_Lattices_Oupper__semilattice(T_a)
% 0.74/0.94 | c_Lattices_Oupper__semilattice__class_Osup(V_x,V_y,T_a) != V_y
% 0.74/0.94 | c_lessequals(V_x,V_y,T_a) ) ).
% 0.74/0.94
% 0.74/0.94 cnf(cls_sup__absorb1_0,axiom,
% 0.74/0.94 ( ~ class_Lattices_Oupper__semilattice(T_a)
% 0.74/0.94 | c_Lattices_Oupper__semilattice__class_Osup(V_x,V_y,T_a) = V_x
% 0.74/0.94 | ~ c_lessequals(V_y,V_x,T_a) ) ).
% 0.74/0.94
% 0.74/0.94 cnf(cls_event_Osimps_I8_J_0,axiom,
% 0.74/0.94 c_Event_Oevent_OGets(V_agent,V_msg) != c_Event_Oevent_ONotes(V_agent_H,V_msg_H) ).
% 0.74/0.94
% 0.74/0.94 cnf(cls_order__antisym__conv_0,axiom,
% 0.74/0.94 ( ~ class_Orderings_Oorder(T_a)
% 0.74/0.94 | V_x = V_y
% 0.74/0.94 | ~ c_lessequals(V_x,V_y,T_a)
% 0.74/0.94 | ~ c_lessequals(V_y,V_x,T_a) ) ).
% 0.74/0.94
% 0.74/0.94 cnf(cls_order__antisym_0,axiom,
% 0.74/0.94 ( ~ class_Orderings_Oorder(T_a)
% 0.74/0.94 | V_x = V_y
% 0.74/0.94 | ~ c_lessequals(V_y,V_x,T_a)
% 0.74/0.94 | ~ c_lessequals(V_x,V_y,T_a) ) ).
% 0.74/0.94
% 0.74/0.94 cnf(cls_order__eq__iff_2,axiom,
% 0.74/0.94 ( ~ class_Orderings_Oorder(T_a)
% 0.74/0.94 | V_x = V_y
% 0.74/0.94 | ~ c_lessequals(V_y,V_x,T_a)
% 0.74/0.94 | ~ c_lessequals(V_x,V_y,T_a) ) ).
% 0.74/0.94
% 0.74/0.94 cnf(cls_set__eq__subset_2,axiom,
% 0.74/0.94 ( V_A = V_B
% 0.74/0.94 | ~ c_lessequals(V_B,V_A,tc_fun(T_a,tc_bool))
% 0.74/0.94 | ~ c_lessequals(V_A,V_B,tc_fun(T_a,tc_bool)) ) ).
% 0.74/0.94
% 0.74/0.94 cnf(cls_equalityI_0,axiom,
% 0.74/0.94 ( V_A = V_B
% 0.74/0.94 | ~ c_lessequals(V_B,V_A,tc_fun(T_a,tc_bool))
% 0.74/0.94 | ~ c_lessequals(V_A,V_B,tc_fun(T_a,tc_bool)) ) ).
% 0.74/0.94
% 0.74/0.94 cnf(cls_Compl__eq__Compl__iff_0,axiom,
% 0.74/0.94 ( 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))
% 0.74/0.94 | V_A = V_B ) ).
% 0.74/0.94
% 0.74/0.94 cnf(cls_neg__equal__iff__equal_0,axiom,
% 0.74/0.94 ( ~ class_OrderedGroup_Ogroup__add(T_a)
% 0.74/0.94 | c_HOL_Ouminus__class_Ouminus(V_a,T_a) != c_HOL_Ouminus__class_Ouminus(V_b,T_a)
% 0.74/0.94 | V_a = V_b ) ).
% 0.74/0.94
% 0.74/0.94 cnf(cls_compl__eq__compl__iff_0,axiom,
% 0.74/0.94 ( ~ class_Lattices_Oboolean__algebra(T_a)
% 0.74/0.94 | c_HOL_Ouminus__class_Ouminus(V_x,T_a) != c_HOL_Ouminus__class_Ouminus(V_y,T_a)
% 0.74/0.94 | V_x = V_y ) ).
% 0.74/0.94
% 0.74/0.94 cnf(cls_event_Osimps_I2_J_0,axiom,
% 0.74/0.94 ( c_Event_Oevent_OGets(V_agent,V_msg) != c_Event_Oevent_OGets(V_agent_H,V_msg_H)
% 0.74/0.94 | V_agent = V_agent_H ) ).
% 0.74/0.94
% 0.74/0.94 cnf(cls_event_Osimps_I2_J_1,axiom,
% 0.74/0.94 ( c_Event_Oevent_OGets(V_agent,V_msg) != c_Event_Oevent_OGets(V_agent_H,V_msg_H)
% 0.74/0.94 | V_msg = V_msg_H ) ).
% 0.74/0.94
% 0.74/0.94 cnf(cls_synth__Un_0,axiom,
% 0.74/0.94 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)) ).
% 0.74/0.94
% 0.74/0.94 cnf(cls_ns__sharedp_ONil_0,axiom,
% 0.74/0.94 c_NS__Shared__Mirabelle_Ons__sharedp(c_List_Olist_ONil(tc_Event_Oevent)) ).
% 0.74/0.94
% 0.74/0.94 cnf(cls_append__is__Nil__conv_1,axiom,
% 0.74/0.94 ( c_List_Oappend(V_xs,V_ys,T_a) != c_List_Olist_ONil(T_a)
% 0.74/0.94 | V_ys = c_List_Olist_ONil(T_a) ) ).
% 0.74/0.94
% 0.74/0.94 cnf(cls_append__is__Nil__conv_0,axiom,
% 0.74/0.94 ( c_List_Oappend(V_xs,V_ys,T_a) != c_List_Olist_ONil(T_a)
% 0.74/0.94 | V_xs = c_List_Olist_ONil(T_a) ) ).
% 0.74/0.94
% 0.74/0.94 cnf(cls_Nil__is__append__conv_1,axiom,
% 0.74/0.94 ( c_List_Olist_ONil(T_a) != c_List_Oappend(V_xs,V_ys,T_a)
% 0.74/0.94 | V_ys = c_List_Olist_ONil(T_a) ) ).
% 0.74/0.94
% 0.74/0.94 cnf(cls_Nil__is__append__conv_0,axiom,
% 0.74/0.94 ( c_List_Olist_ONil(T_a) != c_List_Oappend(V_xs,V_ys,T_a)
% 0.74/0.94 | V_xs = c_List_Olist_ONil(T_a) ) ).
% 0.74/0.94
% 0.74/0.94 cnf(cls_append__in__lists__conv_2,axiom,
% 0.74/0.94 ( c_in(c_List_Oappend(V_xs,V_ys,T_a),c_List_Olists(V_A,T_a),tc_List_Olist(T_a))
% 0.74/0.94 | ~ c_in(V_ys,c_List_Olists(V_A,T_a),tc_List_Olist(T_a))
% 0.74/0.94 | ~ c_in(V_xs,c_List_Olists(V_A,T_a),tc_List_Olist(T_a)) ) ).
% 0.74/0.94
% 0.74/0.94 cnf(cls_sup1CI_1,axiom,
% 0.74/0.94 ( hBOOL(hAPP(c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_a,tc_bool)),V_x))
% 0.74/0.94 | ~ hBOOL(hAPP(V_A,V_x)) ) ).
% 0.74/0.94
% 0.74/0.94 cnf(cls_sup1CI_0,axiom,
% 0.74/0.94 ( hBOOL(hAPP(c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_a,tc_bool)),V_x))
% 0.74/0.94 | ~ hBOOL(hAPP(V_B,V_x)) ) ).
% 0.74/0.94
% 0.74/0.94 cnf(cls_sup1E_0,axiom,
% 0.74/0.94 ( hBOOL(hAPP(V_B,V_x))
% 0.74/0.94 | hBOOL(hAPP(V_A,V_x))
% 0.74/0.94 | ~ hBOOL(hAPP(c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_a,tc_bool)),V_x)) ) ).
% 0.74/0.94
% 0.74/0.94 cnf(cls_injD_0,axiom,
% 0.74/0.94 ( hAPP(V_f,V_x) != hAPP(V_f,V_y)
% 0.74/0.94 | ~ c_Fun_Oinj__on(V_f,c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_bool)),T_a,T_b)
% 0.74/0.94 | V_x = V_y ) ).
% 0.74/0.94
% 0.74/0.94 cnf(cls_remdups__eq__nil__iff_1,axiom,
% 0.74/0.94 c_List_Oremdups(c_List_Olist_ONil(T_a),T_a) = c_List_Olist_ONil(T_a) ).
% 0.74/0.94
% 0.74/0.94 cnf(cls_synth__insert_0,axiom,
% 0.74/0.94 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)) ).
% 0.74/0.94
% 0.74/0.94 cnf(cls_spies__Gets__rev_0,axiom,
% 0.74/0.94 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) ).
% 0.74/0.94
% 0.74/0.94 cnf(cls_subset__insertI_0,axiom,
% 0.74/0.94 c_lessequals(V_B,c_Set_Oinsert(V_a,V_B,T_a),tc_fun(T_a,tc_bool)) ).
% 0.74/0.94
% 0.74/0.94 cnf(cls_inj__on__Un__image__eq__iff_0,axiom,
% 0.74/0.94 ( c_Set_Oimage(V_f,V_A,T_a,T_b) != c_Set_Oimage(V_f,V_B,T_a,T_b)
% 0.74/0.94 | ~ c_Fun_Oinj__on(V_f,c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_a,tc_bool)),T_a,T_b)
% 0.74/0.94 | V_A = V_B ) ).
% 0.74/0.94
% 0.74/0.94 cnf(cls_analz__synth__Un_0,axiom,
% 0.74/0.94 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)) ).
% 0.74/0.94
% 0.74/0.94 cnf(cls_parts__Un__subset2_0,axiom,
% 0.74/0.94 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)) ).
% 0.74/0.94
% 0.74/0.94 cnf(cls_insert__code_0,axiom,
% 0.74/0.94 ( hBOOL(hAPP(V_A,V_x))
% 0.74/0.94 | V_y = V_x
% 0.74/0.94 | ~ hBOOL(hAPP(c_Set_Oinsert(V_y,V_A,T_a),V_x)) ) ).
% 0.74/0.94
% 0.74/0.94 cnf(cls_insert__absorb2_0,axiom,
% 0.74/0.94 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) ).
% 0.74/0.94
% 0.74/0.94 cnf(cls_Un__UNIV__right_0,axiom,
% 0.74/0.94 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)) ).
% 0.74/0.94
% 0.74/0.94 cnf(cls_Un__UNIV__left_0,axiom,
% 0.74/0.94 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)) ).
% 0.74/0.94
% 0.74/0.94 cnf(cls_sup__top__left_0,axiom,
% 0.74/0.94 ( ~ class_Lattices_Obounded__lattice(T_a)
% 0.74/0.94 | c_Lattices_Oupper__semilattice__class_Osup(c_Orderings_Otop__class_Otop(T_a),V_x,T_a) = c_Orderings_Otop__class_Otop(T_a) ) ).
% 0.74/0.94
% 0.74/0.94 cnf(cls_sup__top__right_0,axiom,
% 0.74/0.94 ( ~ class_Lattices_Obounded__lattice(T_a)
% 0.74/0.94 | c_Lattices_Oupper__semilattice__class_Osup(V_x,c_Orderings_Otop__class_Otop(T_a),T_a) = c_Orderings_Otop__class_Otop(T_a) ) ).
% 0.74/0.94
% 0.74/0.94 cnf(cls_list__inter_Osimps_I1_J_0,axiom,
% 0.74/0.94 c_List_Olist__inter(c_List_Olist_ONil(T_a),V_bs,T_a) = c_List_Olist_ONil(T_a) ).
% 0.74/0.94
% 0.74/0.94 cnf(cls_initState__subset__knows_0,axiom,
% 0.74/0.94 c_lessequals(c_Event_OinitState(V_A),c_Event_Oknows(V_A,V_evs),tc_fun(tc_Message_Omsg,tc_bool)) ).
% 0.74/0.94
% 0.74/0.94 cnf(cls_distinct__append_1,axiom,
% 0.74/0.94 ( c_List_Odistinct(V_ys,T_a)
% 0.74/0.94 | ~ c_List_Odistinct(c_List_Oappend(V_xs,V_ys,T_a),T_a) ) ).
% 0.74/0.94
% 0.74/0.94 cnf(cls_distinct__append_0,axiom,
% 0.74/0.94 ( c_List_Odistinct(V_xs,T_a)
% 0.74/0.94 | ~ c_List_Odistinct(c_List_Oappend(V_xs,V_ys,T_a),T_a) ) ).
% 0.74/0.94
% 0.74/0.94 cnf(cls_self__append__conv2_1,axiom,
% 0.74/0.94 V_ys = c_List_Oappend(c_List_Olist_ONil(T_a),V_ys,T_a) ).
% 0.74/0.94
% 0.74/0.94 cnf(cls_append__Nil_0,axiom,
% 0.74/0.94 c_List_Oappend(c_List_Olist_ONil(T_a),V_ys,T_a) = V_ys ).
% 0.74/0.94
% 0.74/0.94 cnf(cls_self__append__conv_1,axiom,
% 0.74/0.94 V_xs = c_List_Oappend(V_xs,c_List_Olist_ONil(T_a),T_a) ).
% 0.74/0.94
% 0.74/0.94 cnf(cls_eq__Nil__appendI_0,axiom,
% 0.74/0.94 V_x = c_List_Oappend(c_List_Olist_ONil(T_a),V_x,T_a) ).
% 0.74/0.94
% 0.74/0.94 cnf(cls_append__Nil2_0,axiom,
% 0.74/0.94 c_List_Oappend(V_xs,c_List_Olist_ONil(T_a),T_a) = V_xs ).
% 0.74/0.94
% 0.74/0.94 cnf(cls_privateKey__notin__image__publicKey_0,axiom,
% 0.74/0.94 ~ c_in(c_Message_OinvKey(hAPP(c_Public_OpublicKey(V_b),V_x)),c_Set_Oimage(c_Public_OpublicKey(V_c),V_AA,tc_Message_Oagent,tc_nat),tc_nat) ).
% 0.74/0.94
% 0.74/0.94 cnf(cls_synth__mono_0,axiom,
% 0.74/0.94 ( c_lessequals(c_Message_Osynth(V_G),c_Message_Osynth(V_H),tc_fun(tc_Message_Omsg,tc_bool))
% 0.74/0.94 | ~ c_lessequals(V_G,V_H,tc_fun(tc_Message_Omsg,tc_bool)) ) ).
% 0.74/0.94
% 0.74/0.95 cnf(cls_Compl__subset__Compl__iff_1,axiom,
% 0.74/0.95 ( 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))
% 0.74/0.95 | ~ c_lessequals(V_B,V_A,tc_fun(T_a,tc_bool)) ) ).
% 0.74/0.95
% 0.74/0.95 cnf(cls_Compl__subset__Compl__iff_0,axiom,
% 0.74/0.95 ( c_lessequals(V_B,V_A,tc_fun(T_a,tc_bool))
% 0.74/0.95 | ~ 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)) ) ).
% 0.74/0.95
% 0.74/0.95 cnf(cls_Compl__anti__mono_0,axiom,
% 0.74/0.95 ( 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))
% 0.74/0.95 | ~ c_lessequals(V_A,V_B,tc_fun(T_a,tc_bool)) ) ).
% 0.74/0.95
% 0.74/0.95 cnf(cls_le__imp__neg__le_0,axiom,
% 0.74/0.95 ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a)
% 0.74/0.95 | c_lessequals(c_HOL_Ouminus__class_Ouminus(V_b,T_a),c_HOL_Ouminus__class_Ouminus(V_a,T_a),T_a)
% 0.74/0.95 | ~ c_lessequals(V_a,V_b,T_a) ) ).
% 0.74/0.95
% 0.74/0.95 cnf(cls_neg__le__iff__le_0,axiom,
% 0.74/0.95 ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a)
% 0.74/0.95 | c_lessequals(V_a,V_b,T_a)
% 0.74/0.95 | ~ c_lessequals(c_HOL_Ouminus__class_Ouminus(V_b,T_a),c_HOL_Ouminus__class_Ouminus(V_a,T_a),T_a) ) ).
% 0.74/0.95
% 0.74/0.95 cnf(cls_synth__cut_0,axiom,
% 0.74/0.95 ( c_in(V_Y,c_Message_Osynth(V_H),tc_Message_Omsg)
% 0.74/0.95 | ~ c_in(V_X,c_Message_Osynth(V_H),tc_Message_Omsg)
% 0.74/0.95 | ~ c_in(V_Y,c_Message_Osynth(c_Set_Oinsert(V_X,V_H,tc_Message_Omsg)),tc_Message_Omsg) ) ).
% 0.74/0.95
% 0.74/0.95 cnf(cls_Un__insert__right_0,axiom,
% 0.74/0.95 c_Lattices_Oupper__semilattice__class_Osup(V_A,c_Set_Oinsert(V_a,V_B,T_a),tc_fun(T_a,tc_bool)) = c_Set_Oinsert(V_a,c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_a,tc_bool)),T_a) ).
% 0.74/0.95
% 0.74/0.95 cnf(cls_Un__insert__left_0,axiom,
% 0.74/0.95 c_Lattices_Oupper__semilattice__class_Osup(c_Set_Oinsert(V_a,V_B,T_a),V_C,tc_fun(T_a,tc_bool)) = c_Set_Oinsert(V_a,c_Lattices_Oupper__semilattice__class_Osup(V_B,V_C,tc_fun(T_a,tc_bool)),T_a) ).
% 0.74/0.95
% 0.74/0.95 cnf(cls_used__nil__subset_0,axiom,
% 0.74/0.95 c_lessequals(c_Event_Oused(c_List_Olist_ONil(tc_Event_Oevent)),c_Event_Oused(V_evs),tc_fun(tc_Message_Omsg,tc_bool)) ).
% 0.74/0.95
% 0.74/0.95 cnf(cls_same__append__eq_0,axiom,
% 0.74/0.95 ( c_List_Oappend(V_xs,V_ys,T_a) != c_List_Oappend(V_xs,V_zs,T_a)
% 0.74/0.95 | V_ys = V_zs ) ).
% 0.74/0.95
% 0.74/0.95 cnf(cls_append__same__eq_0,axiom,
% 0.74/0.95 ( c_List_Oappend(V_ys,V_xs,T_a) != c_List_Oappend(V_zs,V_xs,T_a)
% 0.74/0.95 | V_ys = V_zs ) ).
% 0.74/0.95
% 0.74/0.95 cnf(cls_invKey__eq_0,axiom,
% 0.74/0.95 ( c_Message_OinvKey(V_K) != c_Message_OinvKey(V_K_H)
% 0.74/0.95 | V_K = V_K_H ) ).
% 0.74/0.95
% 0.74/0.95 cnf(cls_subset__insertI2_0,axiom,
% 0.74/0.95 ( c_lessequals(V_A,c_Set_Oinsert(V_b,V_B,T_a),tc_fun(T_a,tc_bool))
% 0.74/0.95 | ~ c_lessequals(V_A,V_B,tc_fun(T_a,tc_bool)) ) ).
% 0.74/0.95
% 0.74/0.95 cnf(cls_insert__subset_1,axiom,
% 0.74/0.95 ( c_lessequals(V_A,V_B,tc_fun(T_a,tc_bool))
% 0.74/0.95 | ~ c_lessequals(c_Set_Oinsert(V_x,V_A,T_a),V_B,tc_fun(T_a,tc_bool)) ) ).
% 0.74/0.95
% 0.74/0.95 cnf(cls_inj__on__insert_0,axiom,
% 0.74/0.95 ( c_Fun_Oinj__on(V_f,V_A,T_a,T_b)
% 0.74/0.95 | ~ c_Fun_Oinj__on(V_f,c_Set_Oinsert(V_a,V_A,T_a),T_a,T_b) ) ).
% 0.74/0.95
% 0.74/0.95 cnf(cls_inj__image__subset__iff_1,axiom,
% 0.74/0.95 ( 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))
% 0.74/0.95 | ~ c_lessequals(V_A,V_B,tc_fun(T_a,tc_bool))
% 0.74/0.95 | ~ c_Fun_Oinj__on(V_f,c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_bool)),T_a,T_b) ) ).
% 0.74/0.95
% 0.74/0.95 cnf(cls_inj__image__subset__iff_0,axiom,
% 0.74/0.95 ( c_lessequals(V_A,V_B,tc_fun(T_a,tc_bool))
% 0.74/0.95 | ~ 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))
% 0.74/0.95 | ~ c_Fun_Oinj__on(V_f,c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_bool)),T_a,T_b) ) ).
% 0.74/0.95
% 0.74/0.95 cnf(cls_privateKey__neq__publicKey_0,axiom,
% 0.74/0.95 c_Message_OinvKey(hAPP(c_Public_OpublicKey(V_b),V_A)) != hAPP(c_Public_OpublicKey(V_c),V_A_H) ).
% 0.74/0.95
% 0.74/0.95 cnf(cls_lists_ONil_0,axiom,
% 0.74/0.95 c_in(c_List_Olist_ONil(T_a),c_List_Olists(V_A,T_a),tc_List_Olist(T_a)) ).
% 0.74/0.95
% 0.74/0.95 cnf(cls_Un__absorb_0,axiom,
% 0.74/0.95 c_Lattices_Oupper__semilattice__class_Osup(V_A,V_A,tc_fun(T_a,tc_bool)) = V_A ).
% 0.74/0.95
% 0.74/0.95 cnf(cls_sup__idem_0,axiom,
% 0.74/0.95 ( ~ class_Lattices_Oupper__semilattice(T_a)
% 0.74/0.95 | c_Lattices_Oupper__semilattice__class_Osup(V_x,V_x,T_a) = V_x ) ).
% 0.74/0.95
% 0.74/0.95 cnf(cls_analz__Un_0,axiom,
% 0.74/0.95 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)) ).
% 0.74/0.95
% 0.74/0.95 cnf(cls_publicKey__inject_1,axiom,
% 0.74/0.95 ( hAPP(c_Public_OpublicKey(V_b),V_A) != hAPP(c_Public_OpublicKey(V_c),V_A_H)
% 0.74/0.95 | V_A = V_A_H ) ).
% 0.74/0.95
% 0.74/0.95 cnf(cls_publicKey__inject_0,axiom,
% 0.74/0.95 ( hAPP(c_Public_OpublicKey(V_b),V_A) != hAPP(c_Public_OpublicKey(V_c),V_A_H)
% 0.74/0.95 | V_b = V_c ) ).
% 0.74/0.95
% 0.74/0.95 cnf(cls_parts__synth_0,axiom,
% 0.74/0.95 c_Message_Oparts(c_Message_Osynth(V_H)) = c_Lattices_Oupper__semilattice__class_Osup(c_Message_Oparts(V_H),c_Message_Osynth(V_H),tc_fun(tc_Message_Omsg,tc_bool)) ).
% 0.74/0.95
% 0.74/0.95 cnf(cls_insert__commute_0,axiom,
% 0.74/0.95 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) ).
% 0.74/0.95
% 0.74/0.95 cnf(cls_parts__Un__subset1_0,axiom,
% 0.74/0.95 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)) ).
% 0.74/0.95
% 0.74/0.95 cnf(cls_synth__subset__iff_1,axiom,
% 0.74/0.95 ( c_lessequals(c_Message_Osynth(V_G),c_Message_Osynth(V_H),tc_fun(tc_Message_Omsg,tc_bool))
% 0.74/0.95 | ~ c_lessequals(V_G,c_Message_Osynth(V_H),tc_fun(tc_Message_Omsg,tc_bool)) ) ).
% 0.74/0.95
% 0.74/0.95 cnf(cls_synth__subset__iff_0,axiom,
% 0.74/0.95 ( c_lessequals(V_G,c_Message_Osynth(V_H),tc_fun(tc_Message_Omsg,tc_bool))
% 0.74/0.95 | ~ c_lessequals(c_Message_Osynth(V_G),c_Message_Osynth(V_H),tc_fun(tc_Message_Omsg,tc_bool)) ) ).
% 0.74/0.95
% 0.74/0.95 cnf(cls_Fake__analz__insert_0,axiom,
% 0.74/0.95 ( c_lessequals(c_Message_Oanalz(c_Set_Oinsert(V_X,V_H,tc_Message_Omsg)),c_Lattices_Oupper__semilattice__class_Osup(c_Message_Osynth(c_Message_Oanalz(V_G)),c_Message_Oanalz(c_Lattices_Oupper__semilattice__class_Osup(V_G,V_H,tc_fun(tc_Message_Omsg,tc_bool))),tc_fun(tc_Message_Omsg,tc_bool)),tc_fun(tc_Message_Omsg,tc_bool))
% 0.74/0.95 | ~ c_in(V_X,c_Message_Osynth(c_Message_Oanalz(V_G)),tc_Message_Omsg) ) ).
% 0.74/0.95
% 0.74/0.95 cnf(cls_priK__in__initState_0,axiom,
% 0.74/0.95 c_in(hAPP(c_Message_Omsg_OKey,c_Message_OinvKey(hAPP(c_Public_OpublicKey(V_b),V_A))),c_Event_OinitState(V_A),tc_Message_Omsg) ).
% 0.74/0.95
% 0.74/0.95 cnf(cls_Un__left__commute_0,axiom,
% 0.74/0.95 c_Lattices_Oupper__semilattice__class_Osup(V_A,c_Lattices_Oupper__semilattice__class_Osup(V_B,V_C,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)) = c_Lattices_Oupper__semilattice__class_Osup(V_B,c_Lattices_Oupper__semilattice__class_Osup(V_A,V_C,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)) ).
% 0.74/0.95
% 0.74/0.95 cnf(cls_Un__assoc_0,axiom,
% 0.74/0.95 c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_a,tc_bool)),V_C,tc_fun(T_a,tc_bool)) = c_Lattices_Oupper__semilattice__class_Osup(V_A,c_Lattices_Oupper__semilattice__class_Osup(V_B,V_C,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)) ).
% 0.74/0.95
% 0.74/0.95 cnf(cls_sup__assoc_0,axiom,
% 0.74/0.95 ( ~ class_Lattices_Oupper__semilattice(T_a)
% 0.74/0.95 | c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Oupper__semilattice__class_Osup(V_x,V_y,T_a),V_z,T_a) = c_Lattices_Oupper__semilattice__class_Osup(V_x,c_Lattices_Oupper__semilattice__class_Osup(V_y,V_z,T_a),T_a) ) ).
% 0.74/0.95
% 0.74/0.95 cnf(cls_sup__left__commute_0,axiom,
% 0.74/0.95 ( ~ class_Lattices_Oupper__semilattice(T_a)
% 0.74/0.95 | c_Lattices_Oupper__semilattice__class_Osup(V_x,c_Lattices_Oupper__semilattice__class_Osup(V_y,V_z,T_a),T_a) = c_Lattices_Oupper__semilattice__class_Osup(V_y,c_Lattices_Oupper__semilattice__class_Osup(V_x,V_z,T_a),T_a) ) ).
% 0.74/0.95
% 0.74/0.95 cnf(cls_analz__image__freshK__simps_I65_J_0,axiom,
% 0.74/0.95 c_Lattices_Oupper__semilattice__class_Osup(V_A,c_Lattices_Oupper__semilattice__class_Osup(V_B,V_C,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)) = c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_a,tc_bool)),V_C,tc_fun(T_a,tc_bool)) ).
% 0.74/0.95
% 0.74/0.95 cnf(cls_inf__sup__aci_I7_J_0,axiom,
% 0.74/0.95 ( ~ class_Lattices_Olattice(T_a)
% 0.74/0.95 | c_Lattices_Oupper__semilattice__class_Osup(V_x,c_Lattices_Oupper__semilattice__class_Osup(V_y,V_z,T_a),T_a) = c_Lattices_Oupper__semilattice__class_Osup(V_y,c_Lattices_Oupper__semilattice__class_Osup(V_x,V_z,T_a),T_a) ) ).
% 0.74/0.95
% 0.74/0.95 cnf(cls_inf__sup__aci_I6_J_0,axiom,
% 0.74/0.95 ( ~ class_Lattices_Olattice(T_a)
% 0.74/0.95 | c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Oupper__semilattice__class_Osup(V_x,V_y,T_a),V_z,T_a) = c_Lattices_Oupper__semilattice__class_Osup(V_x,c_Lattices_Oupper__semilattice__class_Osup(V_y,V_z,T_a),T_a) ) ).
% 0.74/0.95
% 0.74/0.95 cnf(cls_remdups__eq__nil__right__iff_0,axiom,
% 0.74/0.95 ( c_List_Olist_ONil(T_a) != c_List_Oremdups(V_x,T_a)
% 0.74/0.95 | V_x = c_List_Olist_ONil(T_a) ) ).
% 0.74/0.95
% 0.74/0.95 cnf(cls_Un__subset__iff_2,axiom,
% 0.74/0.95 ( c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_a,tc_bool)),V_C,tc_fun(T_a,tc_bool))
% 0.74/0.95 | ~ c_lessequals(V_B,V_C,tc_fun(T_a,tc_bool))
% 0.74/0.95 | ~ c_lessequals(V_A,V_C,tc_fun(T_a,tc_bool)) ) ).
% 0.74/0.95
% 0.74/0.95 cnf(cls_Un__upper2_0,axiom,
% 0.74/0.95 c_lessequals(V_B,c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)) ).
% 0.74/0.95
% 0.74/0.95 cnf(cls_Un__upper1_0,axiom,
% 0.74/0.95 c_lessequals(V_A,c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)) ).
% 0.74/0.95
% 0.74/0.95 cnf(cls_Un__least_0,axiom,
% 0.74/0.95 ( c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_a,tc_bool)),V_C,tc_fun(T_a,tc_bool))
% 0.74/0.95 | ~ c_lessequals(V_B,V_C,tc_fun(T_a,tc_bool))
% 0.74/0.95 | ~ c_lessequals(V_A,V_C,tc_fun(T_a,tc_bool)) ) ).
% 0.74/0.95
% 0.74/0.95 cnf(cls_le__supI_0,axiom,
% 0.74/0.95 ( ~ class_Lattices_Oupper__semilattice(T_a)
% 0.74/0.95 | c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(V_a,V_b,T_a),V_x,T_a)
% 0.74/0.95 | ~ c_lessequals(V_b,V_x,T_a)
% 0.74/0.95 | ~ c_lessequals(V_a,V_x,T_a) ) ).
% 0.74/0.95
% 0.74/0.95 cnf(cls_sup__ge1_0,axiom,
% 0.74/0.95 ( ~ class_Lattices_Oupper__semilattice(T_a)
% 0.74/0.95 | c_lessequals(V_x,c_Lattices_Oupper__semilattice__class_Osup(V_x,V_y,T_a),T_a) ) ).
% 0.74/0.95
% 0.74/0.95 cnf(cls_sup__ge2_0,axiom,
% 0.74/0.95 ( ~ class_Lattices_Oupper__semilattice(T_a)
% 0.74/0.95 | c_lessequals(V_y,c_Lattices_Oupper__semilattice__class_Osup(V_x,V_y,T_a),T_a) ) ).
% 0.74/0.95
% 0.74/0.95 cnf(cls_sup__least_0,axiom,
% 0.74/0.95 ( ~ class_Lattices_Oupper__semilattice(T_a)
% 0.74/0.95 | c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(V_y,V_z,T_a),V_x,T_a)
% 0.74/0.95 | ~ c_lessequals(V_z,V_x,T_a)
% 0.74/0.95 | ~ c_lessequals(V_y,V_x,T_a) ) ).
% 0.74/0.95
% 0.74/0.95 cnf(cls_le__sup__iff_2,axiom,
% 0.74/0.95 ( ~ class_Lattices_Oupper__semilattice(T_a)
% 0.74/0.95 | c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(V_x,V_y,T_a),V_z,T_a)
% 0.74/0.95 | ~ c_lessequals(V_y,V_z,T_a)
% 0.74/0.95 | ~ c_lessequals(V_x,V_z,T_a) ) ).
% 0.74/0.95
% 0.74/0.95 cnf(cls_inf__sup__ord_I4_J_0,axiom,
% 0.74/0.95 ( ~ class_Lattices_Olattice(T_a)
% 0.74/0.95 | c_lessequals(V_y,c_Lattices_Oupper__semilattice__class_Osup(V_x,V_y,T_a),T_a) ) ).
% 0.74/0.95
% 0.74/0.95 cnf(cls_subset__trans_0,axiom,
% 0.74/0.95 ( c_lessequals(V_A,V_C,tc_fun(T_a,tc_bool))
% 0.74/0.95 | ~ c_lessequals(V_B,V_C,tc_fun(T_a,tc_bool))
% 0.74/0.95 | ~ c_lessequals(V_A,V_B,tc_fun(T_a,tc_bool)) ) ).
% 0.74/0.95
% 0.74/0.95 cnf(cls_subset__inj__on_0,axiom,
% 0.74/0.95 ( c_Fun_Oinj__on(V_f,V_A,T_a,T_b)
% 0.74/0.95 | ~ c_lessequals(V_A,V_B,tc_fun(T_a,tc_bool))
% 0.74/0.95 | ~ c_Fun_Oinj__on(V_f,V_B,T_a,T_b) ) ).
% 0.74/0.95
% 0.74/0.95 cnf(cls_predicate1D_0,axiom,
% 0.74/0.95 ( hBOOL(hAPP(V_Q,V_x))
% 0.74/0.95 | ~ hBOOL(hAPP(V_P,V_x))
% 0.74/0.95 | ~ c_lessequals(V_P,V_Q,tc_fun(T_a,tc_bool)) ) ).
% 0.74/0.95
% 0.74/0.95 cnf(cls_order__eq__iff_0,axiom,
% 0.74/0.95 ( ~ class_Orderings_Oorder(T_a)
% 0.74/0.95 | c_lessequals(V_x,V_x,T_a) ) ).
% 0.74/0.95
% 0.74/0.95 cnf(cls_order__eq__refl_0,axiom,
% 0.74/0.95 ( ~ class_Orderings_Opreorder(T_a)
% 0.74/0.95 | c_lessequals(V_x,V_x,T_a) ) ).
% 0.74/0.95
% 0.74/0.95 cnf(cls_rev__predicate1D_0,axiom,
% 0.74/0.95 ( hBOOL(hAPP(V_Q,V_x))
% 0.74/0.95 | ~ c_lessequals(V_P,V_Q,tc_fun(T_a,tc_bool))
% 0.74/0.95 | ~ hBOOL(hAPP(V_P,V_x)) ) ).
% 0.74/0.95
% 0.74/0.95 cnf(cls_priK__neq__shrK_0,axiom,
% 0.74/0.95 hAPP(c_Public_OshrK,V_A) != c_Message_OinvKey(hAPP(c_Public_OpublicKey(V_b),V_C)) ).
% 0.74/0.95
% 0.74/0.95 cnf(cls_inj__image__Compl__subset_0,axiom,
% 0.74/0.95 ( c_lessequals(c_Set_Oimage(V_f,c_HOL_Ouminus__class_Ouminus(V_A,tc_fun(T_a,tc_bool)),T_a,T_b),c_HOL_Ouminus__class_Ouminus(c_Set_Oimage(V_f,V_A,T_a,T_b),tc_fun(T_b,tc_bool)),tc_fun(T_b,tc_bool))
% 0.74/0.95 | ~ c_Fun_Oinj__on(V_f,c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_bool)),T_a,T_b) ) ).
% 0.74/0.95
% 0.74/0.95 cnf(cls_parts__insert__subset__Un_0,axiom,
% 0.74/0.95 ( 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))
% 0.74/0.95 | ~ c_in(V_X,V_G,tc_Message_Omsg) ) ).
% 0.74/0.95
% 0.74/0.95 cnf(cls_image__mono_0,axiom,
% 0.74/0.95 ( 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))
% 0.74/0.95 | ~ c_lessequals(V_A,V_B,tc_fun(T_a,tc_bool)) ) ).
% 0.74/0.95
% 0.74/0.95 cnf(cls_subset__image__iff_2,axiom,
% 0.74/0.95 ( ~ c_lessequals(V_x,V_A,tc_fun(T_b,tc_bool))
% 0.74/0.95 | 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)) ) ).
% 0.74/0.95
% 0.74/0.95 cnf(cls_insert__mono_0,axiom,
% 0.74/0.95 ( 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))
% 0.74/0.95 | ~ c_lessequals(V_C,V_D,tc_fun(T_a,tc_bool)) ) ).
% 0.74/0.95
% 0.74/0.95 cnf(cls_append1__eq__conv_0,axiom,
% 0.74/0.95 ( 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)
% 0.74/0.95 | V_xs = V_ys ) ).
% 0.74/0.95
% 0.74/0.95 cnf(cls_append1__eq__conv_1,axiom,
% 0.74/0.95 ( 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)
% 0.74/0.95 | V_x = V_y ) ).
% 0.74/0.95
% 0.74/0.95 cnf(cls_append__in__lists__conv_0,axiom,
% 0.74/0.95 ( c_in(V_xs,c_List_Olists(V_A,T_a),tc_List_Olist(T_a))
% 0.74/0.95 | ~ c_in(c_List_Oappend(V_xs,V_ys,T_a),c_List_Olists(V_A,T_a),tc_List_Olist(T_a)) ) ).
% 0.74/0.95
% 0.74/0.95 cnf(cls_append__in__lists__conv_1,axiom,
% 0.74/0.95 ( c_in(V_ys,c_List_Olists(V_A,T_a),tc_List_Olist(T_a))
% 0.74/0.95 | ~ c_in(c_List_Oappend(V_xs,V_ys,T_a),c_List_Olists(V_A,T_a),tc_List_Olist(T_a)) ) ).
% 0.74/0.95
% 0.74/0.95 cnf(cls_append__is__Nil__conv_2,axiom,
% 0.74/0.95 c_List_Oappend(c_List_Olist_ONil(T_a),c_List_Olist_ONil(T_a),T_a) = c_List_Olist_ONil(T_a) ).
% 0.74/0.95
% 0.74/0.95 cnf(cls_shrK__neq__priK_0,axiom,
% 0.74/0.95 c_Message_OinvKey(hAPP(c_Public_OpublicKey(V_b),V_C)) != hAPP(c_Public_OshrK,V_A) ).
% 0.74/0.95
% 0.74/0.95 cnf(cls_image__Un_0,axiom,
% 0.74/0.95 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)) ).
% 0.74/0.95
% 0.74/0.95 cnf(cls_analz__insert_0,axiom,
% 0.74/0.95 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)) ).
% 0.74/0.95
% 0.74/0.95 cnf(cls_analz__subset__cong_0,axiom,
% 0.74/0.95 ( 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))
% 0.74/0.95 | ~ c_lessequals(c_Message_Oanalz(V_H),c_Message_Oanalz(V_H_H),tc_fun(tc_Message_Omsg,tc_bool))
% 0.74/0.95 | ~ c_lessequals(c_Message_Oanalz(V_G),c_Message_Oanalz(V_G_H),tc_fun(tc_Message_Omsg,tc_bool)) ) ).
% 0.74/0.95
% 0.74/0.95 cnf(cls_append__assoc_0,axiom,
% 0.74/0.95 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) ).
% 0.74/0.95
% 0.74/0.95 cnf(cls_append__eq__appendI_0,axiom,
% 0.74/0.95 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) ).
% 0.74/0.95
% 0.74/0.95 cnf(cls_append__eq__append__conv2_4,axiom,
% 0.74/0.95 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) ).
% 0.74/0.95
% 0.74/0.95 cnf(cls_append__eq__append__conv2_5,axiom,
% 0.74/0.95 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) ).
% 0.74/0.95
% 0.74/0.95 cnf(cls_publicKey__neq__privateKey_0,axiom,
% 0.74/0.95 hAPP(c_Public_OpublicKey(V_c),V_A_H) != c_Message_OinvKey(hAPP(c_Public_OpublicKey(V_b),V_A)) ).
% 0.74/0.95
% 0.74/0.95 cnf(cls_linorder__linear_0,axiom,
% 0.74/0.95 ( ~ class_Orderings_Olinorder(T_a)
% 0.74/0.95 | c_lessequals(V_y,V_x,T_a)
% 0.74/0.95 | c_lessequals(V_x,V_y,T_a) ) ).
% 0.74/0.95
% 0.74/0.95 cnf(cls_spies__Says__rev_0,axiom,
% 0.74/0.95 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) ).
% 0.74/0.95
% 0.74/0.95 cnf(cls_analz__image__freshK__lemma_5,axiom,
% 0.74/0.95 ( 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)
% 0.74/0.95 | ~ c_in(hAPP(c_Message_Omsg_OKey,V_K),c_Message_Oanalz(V_H),tc_Message_Omsg)
% 0.74/0.95 | ~ c_in(hAPP(c_Message_Omsg_OKey,V_K),c_Message_Oanalz(V_H),tc_Message_Omsg) ) ).
% 0.74/0.95
% 0.74/0.95 cnf(cls_analz__image__freshK__lemma_1,axiom,
% 0.74/0.95 ( 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)
% 0.74/0.95 | ~ c_in(hAPP(c_Message_Omsg_OKey,V_K),c_Message_Oanalz(V_H),tc_Message_Omsg)
% 0.74/0.95 | 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) ) ).
% 0.74/0.95
% 0.74/0.95 cnf(cls_keysFor__parts__insert_0,axiom,
% 0.74/0.95 ( c_in(hAPP(c_Message_Omsg_OKey,c_Message_OinvKey(V_K)),c_Message_Oparts(V_H),tc_Message_Omsg)
% 0.74/0.95 | 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)
% 0.74/0.95 | ~ c_in(V_X,c_Message_Osynth(c_Message_Oanalz(V_H)),tc_Message_Omsg)
% 0.74/0.95 | ~ c_in(V_K,c_Message_OkeysFor(c_Message_Oparts(c_Set_Oinsert(V_X,V_G,tc_Message_Omsg))),tc_nat) ) ).
% 0.74/0.95
% 0.74/0.95 cnf(cls_privateKey__into__used_0,axiom,
% 0.74/0.95 c_in(hAPP(c_Message_Omsg_OKey,c_Message_OinvKey(hAPP(c_Public_OpublicKey(V_b),V_A))),c_Event_Oused(V_evs),tc_Message_Omsg) ).
% 0.74/0.95
% 0.74/0.95 cnf(cls_knows__Spy__subset__knows__Spy__Gets_0,axiom,
% 0.74/0.95 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)) ).
% 0.74/0.95
% 0.74/0.95 cnf(cls_knows__Gets_0,axiom,
% 0.74/0.95 ( 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)
% 0.74/0.95 | V_A = c_Message_Oagent_OSpy ) ).
% 0.74/0.95
% 0.74/0.95 cnf(cls_privateKey__notin__image__shrK_0,axiom,
% 0.74/0.95 ~ c_in(c_Message_OinvKey(hAPP(c_Public_OpublicKey(V_b),V_x)),c_Set_Oimage(c_Public_OshrK,V_AA,tc_Message_Oagent,tc_nat),tc_nat) ).
% 0.74/0.95
% 0.74/0.95 cnf(cls_insert__image_0,axiom,
% 0.74/0.95 ( 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)
% 0.74/0.95 | ~ c_in(V_x,V_A,T_a) ) ).
% 0.74/0.95
% 0.74/0.95 cnf(cls_image__subset__iff_0,axiom,
% 0.74/0.95 ( c_in(hAPP(V_f,V_x),V_B,T_a)
% 0.74/0.95 | ~ c_in(V_x,V_A,T_b)
% 0.74/0.95 | ~ c_lessequals(c_Set_Oimage(V_f,V_A,T_b,T_a),V_B,tc_fun(T_a,tc_bool)) ) ).
% 0.74/0.95
% 0.74/0.95 cnf(cls_MPair__synth_0,axiom,
% 0.74/0.95 ( c_in(V_X,c_Message_Osynth(V_H),tc_Message_Omsg)
% 0.74/0.95 | c_in(c_Message_Omsg_OMPair(V_X,V_Y),V_H,tc_Message_Omsg)
% 0.74/0.95 | ~ c_in(c_Message_Omsg_OMPair(V_X,V_Y),c_Message_Osynth(V_H),tc_Message_Omsg) ) ).
% 0.74/0.95
% 0.74/0.95 cnf(cls_MPair__synth_1,axiom,
% 0.74/0.95 ( c_in(V_Y,c_Message_Osynth(V_H),tc_Message_Omsg)
% 0.74/0.95 | c_in(c_Message_Omsg_OMPair(V_X,V_Y),V_H,tc_Message_Omsg)
% 0.74/0.95 | ~ c_in(c_Message_Omsg_OMPair(V_X,V_Y),c_Message_Osynth(V_H),tc_Message_Omsg) ) ).
% 0.74/0.95
% 0.74/0.95 cnf(cls_synth_OMPair_0,axiom,
% 0.74/0.95 ( c_in(c_Message_Omsg_OMPair(V_X,V_Y),c_Message_Osynth(V_H),tc_Message_Omsg)
% 0.74/0.95 | ~ c_in(V_Y,c_Message_Osynth(V_H),tc_Message_Omsg)
% 0.74/0.95 | ~ c_in(V_X,c_Message_Osynth(V_H),tc_Message_Omsg) ) ).
% 0.74/0.95
% 0.74/0.95 cnf(cls_set__subset__Cons_0,axiom,
% 0.74/0.95 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)) ).
% 0.74/0.95
% 0.74/0.95 cnf(cls_List_Oset_Osimps_I2_J_0,axiom,
% 0.74/0.95 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) ).
% 0.74/0.95
% 0.74/0.95 cnf(cls_in__parts__UnE_0,axiom,
% 0.74/0.95 ( c_in(V_c,c_Message_Oparts(V_H),tc_Message_Omsg)
% 0.74/0.95 | c_in(V_c,c_Message_Oparts(V_G),tc_Message_Omsg)
% 0.74/0.95 | ~ 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) ) ).
% 0.74/0.95
% 0.74/0.95 cnf(cls_parts__trans_0,axiom,
% 0.74/0.95 ( c_in(V_X,c_Message_Oparts(V_H),tc_Message_Omsg)
% 0.74/0.95 | ~ c_lessequals(V_G,c_Message_Oparts(V_H),tc_fun(tc_Message_Omsg,tc_bool))
% 0.74/0.95 | ~ c_in(V_X,c_Message_Oparts(V_G),tc_Message_Omsg) ) ).
% 0.74/0.95
% 0.74/0.95 cnf(cls_parts__cut__eq_0,axiom,
% 0.74/0.95 ( c_Message_Oparts(c_Set_Oinsert(V_X,V_H,tc_Message_Omsg)) = c_Message_Oparts(V_H)
% 0.74/0.95 | ~ c_in(V_X,c_Message_Oparts(V_H),tc_Message_Omsg) ) ).
% 0.74/0.95
% 0.74/0.95 cnf(cls_parts__insertI_0,axiom,
% 0.74/0.95 ( c_in(V_c,c_Message_Oparts(c_Set_Oinsert(V_a,V_G,tc_Message_Omsg)),tc_Message_Omsg)
% 0.74/0.95 | ~ c_in(V_c,c_Message_Oparts(V_G),tc_Message_Omsg) ) ).
% 0.74/0.95
% 0.74/0.95 cnf(cls_parts__insert__MPair_0,axiom,
% 0.74/0.95 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) ).
% 0.74/0.95
% 0.74/0.95 cnf(cls_Crypt__synth_0,axiom,
% 0.74/0.95 ( c_in(V_X,c_Message_Osynth(V_H),tc_Message_Omsg)
% 0.74/0.95 | c_in(c_Message_Omsg_OCrypt(V_K,V_X),V_H,tc_Message_Omsg)
% 0.74/0.95 | ~ c_in(c_Message_Omsg_OCrypt(V_K,V_X),c_Message_Osynth(V_H),tc_Message_Omsg) ) ).
% 0.74/0.95
% 0.74/0.95 cnf(cls_pushes_I12_J_0,axiom,
% 0.74/0.95 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) ).
% 0.74/0.95
% 0.74/0.95 cnf(cls_Key__synth_0,axiom,
% 0.74/0.95 ( c_in(hAPP(c_Message_Omsg_OKey,V_K),V_H,tc_Message_Omsg)
% 0.74/0.95 | ~ c_in(hAPP(c_Message_Omsg_OKey,V_K),c_Message_Osynth(V_H),tc_Message_Omsg) ) ).
% 0.74/0.95
% 0.74/0.95 cnf(cls_Key__synth__eq_1,axiom,
% 0.74/0.95 ( c_in(hAPP(c_Message_Omsg_OKey,V_K),c_Message_Osynth(V_H),tc_Message_Omsg)
% 0.74/0.95 | ~ c_in(hAPP(c_Message_Omsg_OKey,V_K),V_H,tc_Message_Omsg) ) ).
% 0.74/0.95
% 0.74/0.95 cnf(cls_analz__insertI_0,axiom,
% 0.74/0.95 ( c_in(V_c,c_Message_Oanalz(c_Set_Oinsert(V_a,V_G,tc_Message_Omsg)),tc_Message_Omsg)
% 0.74/0.95 | ~ c_in(V_c,c_Message_Oanalz(V_G),tc_Message_Omsg) ) ).
% 0.74/0.95
% 0.74/0.95 cnf(cls_analz__image__freshK__simps_I61_J_0,axiom,
% 0.74/0.95 ( 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)
% 0.74/0.95 | ~ c_in(V_c,c_Message_Oanalz(V_G),tc_Message_Omsg) ) ).
% 0.74/0.95
% 0.74/0.95 cnf(cls_analz__insert__eq_0,axiom,
% 0.74/0.95 ( c_Message_Oanalz(c_Set_Oinsert(V_X,V_H,tc_Message_Omsg)) = c_Message_Oanalz(V_H)
% 0.74/0.95 | ~ c_in(V_X,c_Message_Oanalz(V_H),tc_Message_Omsg) ) ).
% 0.74/0.95
% 0.74/0.95 cnf(cls_analz__cut_0,axiom,
% 0.74/0.95 ( c_in(V_Y,c_Message_Oanalz(V_H),tc_Message_Omsg)
% 0.74/0.95 | ~ c_in(V_X,c_Message_Oanalz(V_H),tc_Message_Omsg)
% 0.74/0.95 | ~ c_in(V_Y,c_Message_Oanalz(c_Set_Oinsert(V_X,V_H,tc_Message_Omsg)),tc_Message_Omsg) ) ).
% 0.74/0.95
% 0.74/0.95 cnf(cls_analz__trans_0,axiom,
% 0.74/0.95 ( c_in(V_X,c_Message_Oanalz(V_H),tc_Message_Omsg)
% 0.74/0.95 | ~ c_lessequals(V_G,c_Message_Oanalz(V_H),tc_fun(tc_Message_Omsg,tc_bool))
% 0.74/0.95 | ~ c_in(V_X,c_Message_Oanalz(V_G),tc_Message_Omsg) ) ).
% 0.74/0.95
% 0.74/0.95 cnf(cls_inj__image__eq__iff_0,axiom,
% 0.74/0.95 ( c_Set_Oimage(V_f,V_A,T_a,T_b) != c_Set_Oimage(V_f,V_B,T_a,T_b)
% 0.74/0.95 | ~ c_Fun_Oinj__on(V_f,c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_bool)),T_a,T_b)
% 0.74/0.95 | V_A = V_B ) ).
% 0.74/0.95
% 0.74/0.95 cnf(cls_pushes_I5_J_0,axiom,
% 0.74/0.95 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) ).
% 0.74/0.95
% 0.74/0.95 cnf(cls_parts__insert__Crypt_0,axiom,
% 0.74/0.95 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) ).
% 0.74/0.95
% 0.74/0.95 cnf(cls_analz__insert__MPair_0,axiom,
% 0.74/0.95 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) ).
% 0.74/0.95
% 0.74/0.95 cnf(cls_Crypt__synth__analz_0,axiom,
% 0.74/0.95 ( c_in(V_X,c_Message_Osynth(c_Message_Oanalz(V_H)),tc_Message_Omsg)
% 0.74/0.95 | ~ c_in(c_Message_Omsg_OCrypt(V_K,V_X),c_Message_Osynth(c_Message_Oanalz(V_H)),tc_Message_Omsg)
% 0.74/0.95 | ~ c_in(hAPP(c_Message_Omsg_OKey,c_Message_OinvKey(V_K)),c_Message_Oanalz(V_H),tc_Message_Omsg)
% 0.74/0.95 | ~ c_in(hAPP(c_Message_Omsg_OKey,V_K),c_Message_Oanalz(V_H),tc_Message_Omsg) ) ).
% 0.74/0.95
% 0.74/0.95 cnf(cls_Crypt__synth__analz_1,axiom,
% 0.74/0.95 ( c_in(c_Message_Omsg_OCrypt(V_K,V_X),c_Message_Osynth(c_Message_Oanalz(V_H)),tc_Message_Omsg)
% 0.74/0.95 | ~ c_in(V_X,c_Message_Osynth(c_Message_Oanalz(V_H)),tc_Message_Omsg)
% 0.74/0.95 | ~ c_in(hAPP(c_Message_Omsg_OKey,c_Message_OinvKey(V_K)),c_Message_Oanalz(V_H),tc_Message_Omsg)
% 0.74/0.95 | ~ c_in(hAPP(c_Message_Omsg_OKey,V_K),c_Message_Oanalz(V_H),tc_Message_Omsg) ) ).
% 0.74/0.95
% 0.74/0.95 cnf(cls_analz__Crypt__if_1,axiom,
% 0.74/0.96 ( 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)
% 0.74/0.96 | c_in(hAPP(c_Message_Omsg_OKey,c_Message_OinvKey(V_K)),c_Message_Oanalz(V_H),tc_Message_Omsg) ) ).
% 0.74/0.96
% 0.74/0.96 cnf(cls_analz__Crypt__if_0,axiom,
% 0.74/0.96 ( 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)
% 0.74/0.96 | ~ c_in(hAPP(c_Message_Omsg_OKey,c_Message_OinvKey(V_K)),c_Message_Oanalz(V_H),tc_Message_Omsg) ) ).
% 0.74/0.96
% 0.74/0.96 cnf(cls_parts__image__Key_0,axiom,
% 0.74/0.96 c_Message_Oparts(c_Set_Oimage(c_Message_Omsg_OKey,V_N,tc_nat,tc_Message_Omsg)) = c_Set_Oimage(c_Message_Omsg_OKey,V_N,tc_nat,tc_Message_Omsg) ).
% 0.74/0.96
% 0.74/0.96 cnf(cls_parts__insert__Key_0,axiom,
% 0.74/0.96 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) ).
% 0.74/0.96
% 0.74/0.96 cnf(cls_analz__subset__parts_0,axiom,
% 0.74/0.96 c_lessequals(c_Message_Oanalz(V_H),c_Message_Oparts(V_H),tc_fun(tc_Message_Omsg,tc_bool)) ).
% 0.74/0.96
% 0.74/0.96 cnf(cls_Agent__synth_0,axiom,
% 0.74/0.96 c_in(c_Message_Omsg_OAgent(V_A),c_Message_Osynth(V_H),tc_Message_Omsg) ).
% 0.74/0.96
% 0.74/0.96 cnf(cls_synth_OAgent_0,axiom,
% 0.74/0.96 c_in(c_Message_Omsg_OAgent(V_agt),c_Message_Osynth(V_H),tc_Message_Omsg) ).
% 0.74/0.96
% 0.74/0.96 cnf(cls_pushes_I6_J_0,axiom,
% 0.74/0.96 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) ).
% 0.74/0.96
% 0.74/0.96 cnf(cls_analz__image__freshK__lemma_3,axiom,
% 0.74/0.96 ( 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)
% 0.74/0.96 | ~ c_in(hAPP(c_Message_Omsg_OKey,V_K),c_Message_Oanalz(V_H),tc_Message_Omsg)
% 0.74/0.96 | ~ c_in(V_K,V_nE,tc_nat) ) ).
% 0.74/0.96
% 0.74/0.96 cnf(cls_analz__image__freshK__lemma_4,axiom,
% 0.74/0.96 ( 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)
% 0.74/0.96 | ~ c_in(V_K,V_nE,tc_nat)
% 0.74/0.96 | ~ c_in(hAPP(c_Message_Omsg_OKey,V_K),c_Message_Oanalz(V_H),tc_Message_Omsg) ) ).
% 0.74/0.96
% 0.74/0.96 cnf(cls_analz__image__freshK__lemma_0,axiom,
% 0.74/0.96 ( 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)
% 0.74/0.96 | ~ c_in(V_K,V_nE,tc_nat)
% 0.74/0.96 | 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) ) ).
% 0.74/0.96
% 0.74/0.96 cnf(cls_analz__image__freshK__lemma_2,axiom,
% 0.74/0.96 ( 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)
% 0.74/0.96 | ~ c_in(V_K,V_nE,tc_nat)
% 0.74/0.96 | ~ c_in(V_K,V_nE,tc_nat) ) ).
% 0.74/0.96
% 0.74/0.96 cnf(cls_Nonce__synth_0,axiom,
% 0.74/0.96 ( c_in(c_Message_Omsg_ONonce(V_n),V_H,tc_Message_Omsg)
% 0.74/0.96 | ~ c_in(c_Message_Omsg_ONonce(V_n),c_Message_Osynth(V_H),tc_Message_Omsg) ) ).
% 0.74/0.96
% 0.74/0.96 cnf(cls_Nonce__synth__eq_0,axiom,
% 0.74/0.96 ( c_in(c_Message_Omsg_ONonce(V_N),V_H,tc_Message_Omsg)
% 0.74/0.96 | ~ c_in(c_Message_Omsg_ONonce(V_N),c_Message_Osynth(V_H),tc_Message_Omsg) ) ).
% 0.74/0.96
% 0.74/0.96 cnf(cls_Nonce__synth__eq_1,axiom,
% 0.74/0.96 ( c_in(c_Message_Omsg_ONonce(V_N),c_Message_Osynth(V_H),tc_Message_Omsg)
% 0.74/0.96 | ~ c_in(c_Message_Omsg_ONonce(V_N),V_H,tc_Message_Omsg) ) ).
% 0.74/0.96
% 0.74/0.96 cnf(cls_analz__image__Key_0,axiom,
% 0.74/0.96 c_Message_Oanalz(c_Set_Oimage(c_Message_Omsg_OKey,V_N,tc_nat,tc_Message_Omsg)) = c_Set_Oimage(c_Message_Omsg_OKey,V_N,tc_nat,tc_Message_Omsg) ).
% 0.74/0.96
% 0.74/0.96 cnf(cls_parts__insert__Agent_0,axiom,
% 0.74/0.96 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) ).
% 0.74/0.96
% 0.74/0.96 cnf(cls_pushes_I8_J_0,axiom,
% 0.74/0.96 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) ).
% 0.74/0.96
% 0.74/0.96 cnf(cls_parts__insert__Nonce_0,axiom,
% 0.74/0.96 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) ).
% 0.74/0.96
% 0.74/0.96 cnf(cls_pushes_I1_J_0,axiom,
% 0.74/0.96 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) ).
% 0.74/0.96
% 0.74/0.96 cnf(cls_analz__insert__Agent_0,axiom,
% 0.74/0.96 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) ).
% 0.74/0.96
% 0.74/0.96 cnf(cls_pushes_I9_J_0,axiom,
% 0.74/0.96 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) ).
% 0.74/0.96
% 0.74/0.96 cnf(cls_pushes_I2_J_0,axiom,
% 0.74/0.96 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) ).
% 0.74/0.96
% 0.74/0.96 cnf(cls_analz__insert__Nonce_0,axiom,
% 0.74/0.96 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) ).
% 0.74/0.96
% 0.74/0.96 cnf(cls_keysFor__insert__MPair_0,axiom,
% 0.74/0.96 c_Message_OkeysFor(c_Set_Oinsert(c_Message_Omsg_OMPair(V_X,V_Y),V_H,tc_Message_Omsg)) = c_Message_OkeysFor(V_H) ).
% 0.74/0.96
% 0.74/0.96 cnf(cls_keysFor__insert__Key_0,axiom,
% 0.74/0.96 c_Message_OkeysFor(c_Set_Oinsert(hAPP(c_Message_Omsg_OKey,V_K),V_H,tc_Message_Omsg)) = c_Message_OkeysFor(V_H) ).
% 0.74/0.96
% 0.74/0.96 cnf(cls_knows__subset__knows__Cons_0,axiom,
% 0.74/0.96 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)) ).
% 0.74/0.96
% 0.74/0.96 cnf(cls_keysFor__insert__Agent_0,axiom,
% 0.74/0.96 c_Message_OkeysFor(c_Set_Oinsert(c_Message_Omsg_OAgent(V_A),V_H,tc_Message_Omsg)) = c_Message_OkeysFor(V_H) ).
% 0.74/0.96
% 0.74/0.96 cnf(cls_keysFor__insert__Nonce_0,axiom,
% 0.74/0.96 c_Message_OkeysFor(c_Set_Oinsert(c_Message_Omsg_ONonce(V_N),V_H,tc_Message_Omsg)) = c_Message_OkeysFor(V_H) ).
% 0.74/0.96
% 0.74/0.96 cnf(cls_publicKey__image__eq_0,axiom,
% 0.74/0.96 ( V_b = V_c
% 0.74/0.96 | ~ 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) ) ).
% 0.74/0.96
% 0.74/0.96 cnf(cls_spies__Notes__rev_0,axiom,
% 0.74/0.96 ( 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)
% 0.74/0.96 | ~ c_in(V_A,c_Event_Obad,tc_Message_Oagent) ) ).
% 0.74/0.96
% 0.74/0.96 cnf(cls_ns__shared_ONil_0,axiom,
% 0.74/0.96 c_in(c_List_Olist_ONil(tc_Event_Oevent),c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent)) ).
% 0.74/0.96
% 0.74/0.96 cnf(cls_used__Gets_0,axiom,
% 0.74/0.96 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) ).
% 0.74/0.96
% 0.74/0.96 cnf(cls_not__symKeys__pubK_0,axiom,
% 0.74/0.96 ~ c_in(hAPP(c_Public_OpublicKey(V_b),V_A),c_Message_OsymKeys,tc_nat) ).
% 0.74/0.96
% 0.74/0.96 cnf(cls_symKeys__invKey__iff_0,axiom,
% 0.74/0.96 ( c_in(V_K,c_Message_OsymKeys,tc_nat)
% 0.74/0.96 | ~ c_in(c_Message_OinvKey(V_K),c_Message_OsymKeys,tc_nat) ) ).
% 0.74/0.96
% 0.74/0.96 cnf(cls_symKeys__invKey__iff_1,axiom,
% 0.74/0.96 ( c_in(c_Message_OinvKey(V_K),c_Message_OsymKeys,tc_nat)
% 0.74/0.96 | ~ c_in(V_K,c_Message_OsymKeys,tc_nat) ) ).
% 0.74/0.96
% 0.74/0.96 cnf(cls_invKey__K_0,axiom,
% 0.74/0.96 ( c_Message_OinvKey(V_K) = V_K
% 0.74/0.96 | ~ c_in(V_K,c_Message_OsymKeys,tc_nat) ) ).
% 0.74/0.96
% 0.74/0.96 cnf(cls_analz__image__freshK_2,axiom,
% 0.74/0.96 ( 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)
% 0.74/0.96 | ~ c_in(hAPP(c_Message_Omsg_OKey,V_K),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,V_evs)),tc_Message_Omsg)
% 0.74/0.96 | ~ c_lessequals(V_KK,c_HOL_Ouminus__class_Ouminus(c_Set_Oimage(c_Public_OshrK,c_Orderings_Otop__class_Otop(tc_fun(tc_Message_Oagent,tc_bool)),tc_Message_Oagent,tc_nat),tc_fun(tc_nat,tc_bool)),tc_fun(tc_nat,tc_bool))
% 0.74/0.96 | ~ c_in(V_evs,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent)) ) ).
% 0.74/0.96
% 0.74/0.96 cnf(cls_inf__sup__ord_I3_J_0,axiom,
% 0.74/0.96 ( ~ class_Lattices_Olattice(T_a)
% 0.74/0.96 | c_lessequals(V_x,c_Lattices_Oupper__semilattice__class_Osup(V_x,V_y,T_a),T_a) ) ).
% 0.74/0.96
% 0.74/0.96 cnf(cls_append__eq__Cons__conv_5,axiom,
% 0.74/0.96 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) ).
% 0.74/0.96
% 0.74/0.96 cnf(cls_append__Cons_0,axiom,
% 0.74/0.96 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) ).
% 0.74/0.96
% 0.74/0.96 cnf(cls_knows__subset__knows__Gets_0,axiom,
% 0.74/0.96 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)) ).
% 0.74/0.96
% 0.74/0.96 cnf(cls_Compl__partition2_0,axiom,
% 0.74/0.96 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)) ).
% 0.74/0.96
% 0.74/0.96 cnf(cls_Compl__partition_0,axiom,
% 0.74/0.96 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)) ).
% 0.74/0.96
% 0.74/0.96 cnf(cls_compl__sup__top_0,axiom,
% 0.74/0.96 ( ~ class_Lattices_Oboolean__algebra(T_a)
% 0.74/0.96 | 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) ) ).
% 0.74/0.96
% 0.74/0.96 cnf(cls_sup__compl__top_0,axiom,
% 0.74/0.96 ( ~ class_Lattices_Oboolean__algebra(T_a)
% 0.74/0.96 | 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) ) ).
% 0.74/0.96
% 0.74/0.96 cnf(cls_insert__subset_0,axiom,
% 0.74/0.96 ( c_in(V_x,V_B,T_a)
% 0.74/0.96 | ~ c_lessequals(c_Set_Oinsert(V_x,V_A,T_a),V_B,tc_fun(T_a,tc_bool)) ) ).
% 0.74/0.96
% 0.74/0.96 cnf(cls_insert__code_2,axiom,
% 0.74/0.96 ( hBOOL(hAPP(c_Set_Oinsert(V_y,V_A,T_a),V_x))
% 0.74/0.96 | ~ hBOOL(hAPP(V_A,V_x)) ) ).
% 0.74/0.96
% 0.74/0.96 cnf(cls_Cons__eq__append__conv_5,axiom,
% 0.74/0.96 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) ).
% 0.74/0.96
% 0.74/0.96 cnf(cls_Cons__eq__appendI_0,axiom,
% 0.74/0.96 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) ).
% 0.74/0.96
% 0.74/0.96 cnf(cls_subset__insert__iff_2,axiom,
% 0.74/0.96 ( c_lessequals(V_A,c_Set_Oinsert(V_x,V_B,T_a),tc_fun(T_a,tc_bool))
% 0.74/0.96 | ~ c_lessequals(V_A,V_B,tc_fun(T_a,tc_bool))
% 0.74/0.96 | c_in(V_x,V_A,T_a) ) ).
% 0.74/0.96
% 0.74/0.96 cnf(cls_subset__insert__iff_1,axiom,
% 0.74/0.96 ( c_lessequals(V_A,V_B,tc_fun(T_a,tc_bool))
% 0.74/0.96 | c_in(V_x,V_A,T_a)
% 0.74/0.96 | ~ c_lessequals(V_A,c_Set_Oinsert(V_x,V_B,T_a),tc_fun(T_a,tc_bool)) ) ).
% 0.74/0.96
% 0.74/0.96 cnf(cls_subset__insert_1,axiom,
% 0.74/0.96 ( c_lessequals(V_A,c_Set_Oinsert(V_x,V_B,T_a),tc_fun(T_a,tc_bool))
% 0.74/0.96 | ~ c_lessequals(V_A,V_B,tc_fun(T_a,tc_bool))
% 0.74/0.96 | c_in(V_x,V_A,T_a) ) ).
% 0.74/0.96
% 0.74/0.96 cnf(cls_subset__insert_0,axiom,
% 0.74/0.96 ( c_lessequals(V_A,V_B,tc_fun(T_a,tc_bool))
% 0.74/0.96 | ~ c_lessequals(V_A,c_Set_Oinsert(V_x,V_B,T_a),tc_fun(T_a,tc_bool))
% 0.74/0.96 | c_in(V_x,V_A,T_a) ) ).
% 0.74/0.96
% 0.74/0.96 cnf(cls_neq__Nil__conv_1,axiom,
% 0.74/0.96 c_List_Olist_OCons(V_x,V_xa,T_a) != c_List_Olist_ONil(T_a) ).
% 0.74/0.96
% 0.74/0.96 cnf(cls_list_Osimps_I3_J_0,axiom,
% 0.74/0.96 c_List_Olist_OCons(V_a_H,V_list_H,T_a) != c_List_Olist_ONil(T_a) ).
% 0.74/0.96
% 0.74/0.96 cnf(cls_Un__commute_0,axiom,
% 0.74/0.96 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)) ).
% 0.74/0.96
% 0.74/0.96 cnf(cls_sup__commute_0,axiom,
% 0.74/0.96 ( ~ class_Lattices_Oupper__semilattice(T_a)
% 0.74/0.96 | c_Lattices_Oupper__semilattice__class_Osup(V_x,V_y,T_a) = c_Lattices_Oupper__semilattice__class_Osup(V_y,V_x,T_a) ) ).
% 0.74/0.96
% 0.74/0.96 cnf(cls_inf__sup__aci_I5_J_0,axiom,
% 0.74/0.96 ( ~ class_Lattices_Olattice(T_a)
% 0.74/0.96 | c_Lattices_Oupper__semilattice__class_Osup(V_x,V_y,T_a) = c_Lattices_Oupper__semilattice__class_Osup(V_y,V_x,T_a) ) ).
% 0.74/0.96
% 0.74/0.96 cnf(cls_Un__left__absorb_0,axiom,
% 0.74/0.96 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)) ).
% 0.74/0.96
% 0.74/0.96 cnf(cls_sup__left__idem_0,axiom,
% 0.74/0.96 ( ~ class_Lattices_Oupper__semilattice(T_a)
% 0.74/0.96 | 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) ) ).
% 0.74/0.96
% 0.74/0.96 cnf(cls_inf__sup__aci_I8_J_0,axiom,
% 0.74/0.96 ( ~ class_Lattices_Olattice(T_a)
% 0.74/0.96 | 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) ) ).
% 0.74/0.96
% 0.74/0.96 cnf(cls_synth__idem_0,axiom,
% 0.74/0.96 c_Message_Osynth(c_Message_Osynth(V_H)) = c_Message_Osynth(V_H) ).
% 0.74/0.96
% 0.74/0.96 cnf(cls_analz__synth_0,axiom,
% 0.74/0.96 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)) ).
% 0.74/0.96
% 0.74/0.96 cnf(cls_remdups__id__iff__distinct_0,axiom,
% 0.74/0.96 ( c_List_Oremdups(V_xs,T_a) != V_xs
% 0.74/0.96 | c_List_Odistinct(V_xs,T_a) ) ).
% 0.74/0.96
% 0.74/0.96 cnf(cls_distinct__remdups__id_0,axiom,
% 0.74/0.96 ( c_List_Oremdups(V_xs,T_a) = V_xs
% 0.74/0.96 | ~ c_List_Odistinct(V_xs,T_a) ) ).
% 0.74/0.96
% 0.74/0.96 cnf(cls_Cons__eq__append__conv_4,axiom,
% 0.74/0.96 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) ).
% 0.74/0.96
% 0.74/0.96 cnf(cls_synth__analz__mono_0,axiom,
% 0.74/0.96 ( 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))
% 0.74/0.96 | ~ c_lessequals(V_G,V_H,tc_fun(tc_Message_Omsg,tc_bool)) ) ).
% 0.74/0.96
% 0.74/0.96 cnf(cls_Nil__is__append__conv_2,axiom,
% 0.74/0.96 c_List_Olist_ONil(T_a) = c_List_Oappend(c_List_Olist_ONil(T_a),c_List_Olist_ONil(T_a),T_a) ).
% 0.74/0.96
% 0.74/0.96 cnf(cls_analz__image__freshK__simps_I56_J_0,axiom,
% 0.74/0.96 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) ).
% 0.74/0.96
% 0.74/0.96 cnf(cls_inj__on__Un_1,axiom,
% 0.74/0.96 ( c_Fun_Oinj__on(V_f,V_B,T_a,T_b)
% 0.74/0.96 | ~ c_Fun_Oinj__on(V_f,c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_a,tc_bool)),T_a,T_b) ) ).
% 0.74/0.96
% 0.74/0.96 cnf(cls_inj__on__Un_0,axiom,
% 0.74/0.96 ( c_Fun_Oinj__on(V_f,V_A,T_a,T_b)
% 0.74/0.96 | ~ c_Fun_Oinj__on(V_f,c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_a,tc_bool)),T_a,T_b) ) ).
% 0.74/0.96
% 0.74/0.96 cnf(cls_keysFor__mono_0,axiom,
% 0.74/0.96 ( c_lessequals(c_Message_OkeysFor(V_G),c_Message_OkeysFor(V_H),tc_fun(tc_nat,tc_bool))
% 0.74/0.96 | ~ c_lessequals(V_G,V_H,tc_fun(tc_Message_Omsg,tc_bool)) ) ).
% 0.74/0.96
% 0.74/0.96 cnf(cls_double__complement_0,axiom,
% 0.74/0.96 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 ).
% 0.74/0.96
% 0.74/0.96 cnf(cls_minus__minus_0,axiom,
% 0.74/0.96 ( ~ class_OrderedGroup_Ogroup__add(T_a)
% 0.74/0.96 | c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(V_a,T_a),T_a) = V_a ) ).
% 0.74/0.96
% 0.74/0.96 cnf(cls_double__compl_0,axiom,
% 0.74/0.96 ( ~ class_Lattices_Oboolean__algebra(T_a)
% 0.74/0.96 | c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(V_x,T_a),T_a) = V_x ) ).
% 0.74/0.96
% 0.74/0.96 cnf(cls_equation__minus__iff_0,axiom,
% 0.74/0.96 ( ~ class_OrderedGroup_Ogroup__add(T_a)
% 0.74/0.96 | V_b = c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(V_b,T_a),T_a) ) ).
% 0.74/0.96
% 0.74/0.96 cnf(cls_equation__minus__iff_1,axiom,
% 0.74/0.96 ( ~ class_OrderedGroup_Ogroup__add(T_a)
% 0.74/0.96 | V_a = c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(V_a,T_a),T_a) ) ).
% 0.74/0.96
% 0.74/0.96 cnf(cls_minus__equation__iff_1,axiom,
% 0.74/0.96 ( ~ class_OrderedGroup_Ogroup__add(T_a)
% 0.74/0.96 | c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(V_b,T_a),T_a) = V_b ) ).
% 0.74/0.96
% 0.74/0.96 cnf(cls_distinct_Osimps_I2_J_1,axiom,
% 0.74/0.96 ( c_List_Odistinct(V_xs,T_a)
% 0.74/0.96 | ~ c_List_Odistinct(c_List_Olist_OCons(V_x,V_xs,T_a),T_a) ) ).
% 0.74/0.96
% 0.74/0.96 cnf(cls_le__funD_0,axiom,
% 0.74/0.96 ( ~ class_HOL_Oord(T_b)
% 0.74/0.96 | c_lessequals(hAPP(V_f,V_x),hAPP(V_g,V_x),T_b)
% 0.74/0.96 | ~ c_lessequals(V_f,V_g,tc_fun(T_a,T_b)) ) ).
% 0.74/0.96
% 0.74/0.96 cnf(cls_le__minus__iff_0,axiom,
% 0.74/0.96 ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a)
% 0.74/0.96 | c_lessequals(V_b,c_HOL_Ouminus__class_Ouminus(V_a,T_a),T_a)
% 0.74/0.96 | ~ c_lessequals(V_a,c_HOL_Ouminus__class_Ouminus(V_b,T_a),T_a) ) ).
% 0.74/0.96
% 0.74/0.96 cnf(cls_le__minus__iff_1,axiom,
% 0.74/0.96 ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a)
% 0.74/0.96 | c_lessequals(V_a,c_HOL_Ouminus__class_Ouminus(V_b,T_a),T_a)
% 0.74/0.96 | ~ c_lessequals(V_b,c_HOL_Ouminus__class_Ouminus(V_a,T_a),T_a) ) ).
% 0.74/0.96
% 0.74/0.96 cnf(cls_minus__le__iff_0,axiom,
% 0.74/0.96 ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a)
% 0.74/0.96 | c_lessequals(c_HOL_Ouminus__class_Ouminus(V_b,T_a),V_a,T_a)
% 0.74/0.96 | ~ c_lessequals(c_HOL_Ouminus__class_Ouminus(V_a,T_a),V_b,T_a) ) ).
% 0.74/0.96
% 0.74/0.96 cnf(cls_minus__le__iff_1,axiom,
% 0.74/0.96 ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a)
% 0.74/0.96 | c_lessequals(c_HOL_Ouminus__class_Ouminus(V_a,T_a),V_b,T_a)
% 0.74/0.96 | ~ c_lessequals(c_HOL_Ouminus__class_Ouminus(V_b,T_a),V_a,T_a) ) ).
% 0.74/0.96
% 0.74/0.96 cnf(cls_Fake__parts__insert_0,axiom,
% 0.74/0.96 ( c_lessequals(c_Message_Oparts(c_Set_Oinsert(V_X,V_H,tc_Message_Omsg)),c_Lattices_Oupper__semilattice__class_Osup(c_Message_Osynth(c_Message_Oanalz(V_H)),c_Message_Oparts(V_H),tc_fun(tc_Message_Omsg,tc_bool)),tc_fun(tc_Message_Omsg,tc_bool))
% 0.74/0.96 | ~ c_in(V_X,c_Message_Osynth(c_Message_Oanalz(V_H)),tc_Message_Omsg) ) ).
% 0.74/0.96
% 0.74/0.96 cnf(cls_insert__iff_2,axiom,
% 0.74/0.96 ( c_in(V_a,c_Set_Oinsert(V_b,V_A,T_a),T_a)
% 0.74/0.96 | ~ c_in(V_a,V_A,T_a) ) ).
% 0.74/0.96
% 0.74/0.96 cnf(cls_insertCI_0,axiom,
% 0.74/0.96 ( c_in(V_a,c_Set_Oinsert(V_b,V_B,T_a),T_a)
% 0.74/0.96 | ~ c_in(V_a,V_B,T_a) ) ).
% 0.74/0.96
% 0.74/0.96 cnf(cls_subset__iff_0,axiom,
% 0.74/0.96 ( c_in(V_t,V_B,T_a)
% 0.74/0.96 | ~ c_in(V_t,V_A,T_a)
% 0.74/0.96 | ~ c_lessequals(V_A,V_B,tc_fun(T_a,tc_bool)) ) ).
% 0.74/0.96
% 0.74/0.96 cnf(cls_set__rev__mp_0,axiom,
% 0.74/0.96 ( c_in(V_x,V_B,T_a)
% 0.74/0.96 | ~ c_lessequals(V_A,V_B,tc_fun(T_a,tc_bool))
% 0.74/0.96 | ~ c_in(V_x,V_A,T_a) ) ).
% 0.74/0.96
% 0.74/0.96 cnf(cls_subsetD_0,axiom,
% 0.74/0.96 ( c_in(V_c,V_B,T_a)
% 0.74/0.96 | ~ c_in(V_c,V_A,T_a)
% 0.74/0.96 | ~ c_lessequals(V_A,V_B,tc_fun(T_a,tc_bool)) ) ).
% 0.74/0.96
% 0.74/0.96 cnf(cls_set__mp_0,axiom,
% 0.74/0.96 ( c_in(V_x,V_B,T_a)
% 0.74/0.96 | ~ c_in(V_x,V_A,T_a)
% 0.74/0.96 | ~ c_lessequals(V_A,V_B,tc_fun(T_a,tc_bool)) ) ).
% 0.74/0.96
% 0.74/0.96 cnf(cls_UnCI_1,axiom,
% 0.74/0.96 ( c_in(V_c,c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_a,tc_bool)),T_a)
% 0.74/0.96 | ~ c_in(V_c,V_A,T_a) ) ).
% 0.74/0.96
% 0.74/0.96 cnf(cls_UnCI_0,axiom,
% 0.74/0.96 ( c_in(V_c,c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_a,tc_bool)),T_a)
% 0.74/0.96 | ~ c_in(V_c,V_B,T_a) ) ).
% 0.74/0.96
% 0.74/0.96 cnf(cls_insertE_0,axiom,
% 0.74/0.96 ( c_in(V_a,V_A,T_a)
% 0.74/0.96 | V_a = V_b
% 0.74/0.96 | ~ c_in(V_a,c_Set_Oinsert(V_b,V_A,T_a),T_a) ) ).
% 0.74/0.96
% 0.74/0.96 cnf(cls_UnE_0,axiom,
% 0.74/0.96 ( c_in(V_c,V_B,T_a)
% 0.74/0.96 | c_in(V_c,V_A,T_a)
% 0.74/0.96 | ~ c_in(V_c,c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_a,tc_bool)),T_a) ) ).
% 0.74/0.96
% 0.74/0.96 cnf(cls_ComplI_0,axiom,
% 0.74/0.96 ( c_in(V_c,c_HOL_Ouminus__class_Ouminus(V_A,tc_fun(T_a,tc_bool)),T_a)
% 0.74/0.96 | c_in(V_c,V_A,T_a) ) ).
% 0.74/0.96
% 0.74/0.96 cnf(cls_ComplD_0,axiom,
% 0.74/0.96 ( ~ c_in(V_c,V_A,T_a)
% 0.74/0.96 | ~ c_in(V_c,c_HOL_Ouminus__class_Ouminus(V_A,tc_fun(T_a,tc_bool)),T_a) ) ).
% 0.74/0.96
% 0.74/0.96 cnf(cls_insert__iff_1,axiom,
% 0.74/0.96 c_in(V_x,c_Set_Oinsert(V_x,V_A,T_a),T_a) ).
% 0.74/0.96
% 0.74/0.96 cnf(cls_insertI1_0,axiom,
% 0.74/0.96 c_in(V_a,c_Set_Oinsert(V_a,V_B,T_a),T_a) ).
% 0.74/0.96
% 0.74/0.96 cnf(cls_insertCI_1,axiom,
% 0.74/0.96 c_in(V_x,c_Set_Oinsert(V_x,V_B,T_a),T_a) ).
% 0.74/0.96
% 0.74/0.96 cnf(cls_inj__on__contraD_0,axiom,
% 0.74/0.96 ( hAPP(V_f,V_x) != hAPP(V_f,V_y)
% 0.74/0.96 | ~ c_in(V_y,V_A,T_a)
% 0.74/0.96 | ~ c_in(V_x,V_A,T_a)
% 0.74/0.96 | V_x = V_y
% 0.74/0.96 | ~ c_Fun_Oinj__on(V_f,V_A,T_a,T_b) ) ).
% 0.74/0.96
% 0.74/0.96 cnf(cls_inj__on__iff_0,axiom,
% 0.74/0.96 ( hAPP(V_f,V_x) != hAPP(V_f,V_y)
% 0.74/0.96 | ~ c_in(V_y,V_A,T_a)
% 0.74/0.96 | ~ c_in(V_x,V_A,T_a)
% 0.74/0.96 | ~ c_Fun_Oinj__on(V_f,V_A,T_a,T_b)
% 0.74/0.96 | V_x = V_y ) ).
% 0.74/0.96
% 0.74/0.96 cnf(cls_inj__on__def_0,axiom,
% 0.74/0.96 ( hAPP(V_f,V_x) != hAPP(V_f,V_xa)
% 0.74/0.96 | ~ c_in(V_xa,V_A,T_a)
% 0.74/0.96 | ~ c_in(V_x,V_A,T_a)
% 0.74/0.96 | ~ c_Fun_Oinj__on(V_f,V_A,T_a,T_b)
% 0.74/0.96 | V_x = V_xa ) ).
% 0.74/0.96
% 0.74/0.96 cnf(cls_inj__onD_0,axiom,
% 0.74/0.96 ( hAPP(V_f,V_x) != hAPP(V_f,V_y)
% 0.74/0.96 | ~ c_Fun_Oinj__on(V_f,V_A,T_a,T_b)
% 0.74/0.96 | V_x = V_y
% 0.74/0.96 | ~ c_in(V_y,V_A,T_a)
% 0.74/0.96 | ~ c_in(V_x,V_A,T_a) ) ).
% 0.74/0.96
% 0.74/0.96 cnf(cls_insert__ident_0,axiom,
% 0.74/0.96 ( c_Set_Oinsert(V_x,V_A,T_a) != c_Set_Oinsert(V_x,V_B,T_a)
% 0.74/0.96 | c_in(V_x,V_B,T_a)
% 0.74/0.96 | c_in(V_x,V_A,T_a)
% 0.74/0.96 | V_A = V_B ) ).
% 0.74/0.96
% 0.74/0.96 cnf(cls_insert__absorb_0,axiom,
% 0.74/0.96 ( c_Set_Oinsert(V_a,V_A,T_a) = V_A
% 0.74/0.96 | ~ c_in(V_a,V_A,T_a) ) ).
% 0.74/0.96
% 0.74/0.96 cnf(cls_synth_OInj_0,axiom,
% 0.74/0.96 ( c_in(V_X,c_Message_Osynth(V_H),tc_Message_Omsg)
% 0.74/0.96 | ~ c_in(V_X,V_H,tc_Message_Omsg) ) ).
% 0.74/0.96
% 0.74/0.96 cnf(cls_synth__synthD_0,axiom,
% 0.74/0.96 ( c_in(V_X,c_Message_Osynth(V_H),tc_Message_Omsg)
% 0.74/0.96 | ~ c_in(V_X,c_Message_Osynth(c_Message_Osynth(V_H)),tc_Message_Omsg) ) ).
% 0.74/0.96
% 0.74/0.96 cnf(cls_parts__cut_0,axiom,
% 0.74/0.96 ( 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)
% 0.74/0.96 | ~ c_in(V_X,c_Message_Oparts(V_H),tc_Message_Omsg)
% 0.74/0.96 | ~ c_in(V_Y,c_Message_Oparts(c_Set_Oinsert(V_X,V_G,tc_Message_Omsg)),tc_Message_Omsg) ) ).
% 0.74/0.96
% 0.74/0.96 cnf(cls_set__remdups_0,axiom,
% 0.74/0.96 c_List_Oset(c_List_Oremdups(V_xs,T_a),T_a) = c_List_Oset(V_xs,T_a) ).
% 0.74/0.96
% 0.74/0.96 cnf(cls_publicKey__in__initState_0,axiom,
% 0.74/0.96 c_in(hAPP(c_Message_Omsg_OKey,hAPP(c_Public_OpublicKey(V_b),V_A)),c_Event_OinitState(V_B),tc_Message_Omsg) ).
% 0.74/0.96
% 0.74/0.96 cnf(cls_parts__Un_0,axiom,
% 0.74/0.96 c_Message_Oparts(c_Lattices_Oupper__semilattice__class_Osup(V_G,V_H,tc_fun(tc_Message_Omsg,tc_bool))) = c_Lattices_Oupper__semilattice__class_Osup(c_Message_Oparts(V_G),c_Message_Oparts(V_H),tc_fun(tc_Message_Omsg,tc_bool)) ).
% 0.74/0.96
% 0.74/0.96 cnf(cls_parts__increasing_0,axiom,
% 0.74/0.96 c_lessequals(V_H,c_Message_Oparts(V_H),tc_fun(tc_Message_Omsg,tc_bool)) ).
% 0.74/0.96
% 0.74/0.96 cnf(cls_parts__mono_0,axiom,
% 0.74/0.96 ( c_lessequals(c_Message_Oparts(V_G),c_Message_Oparts(V_H),tc_fun(tc_Message_Omsg,tc_bool))
% 0.74/0.96 | ~ c_lessequals(V_G,V_H,tc_fun(tc_Message_Omsg,tc_bool)) ) ).
% 0.74/0.96
% 0.74/0.96 cnf(cls_parts__subset__iff_1,axiom,
% 0.74/0.96 ( c_lessequals(c_Message_Oparts(V_G),c_Message_Oparts(V_H),tc_fun(tc_Message_Omsg,tc_bool))
% 0.74/0.96 | ~ c_lessequals(V_G,c_Message_Oparts(V_H),tc_fun(tc_Message_Omsg,tc_bool)) ) ).
% 0.74/0.96
% 0.74/0.96 cnf(cls_parts__subset__iff_0,axiom,
% 0.74/0.96 ( c_lessequals(V_G,c_Message_Oparts(V_H),tc_fun(tc_Message_Omsg,tc_bool))
% 0.74/0.96 | ~ c_lessequals(c_Message_Oparts(V_G),c_Message_Oparts(V_H),tc_fun(tc_Message_Omsg,tc_bool)) ) ).
% 0.74/0.96
% 0.74/0.96 cnf(cls_Fake__parts__insert__in__Un_0,axiom,
% 0.74/0.96 ( 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)
% 0.74/0.96 | ~ c_in(V_X,c_Message_Osynth(c_Message_Oanalz(V_H)),tc_Message_Omsg)
% 0.74/0.96 | ~ c_in(V_Z,c_Message_Oparts(c_Set_Oinsert(V_X,V_H,tc_Message_Omsg)),tc_Message_Omsg) ) ).
% 0.74/0.96
% 0.74/0.96 cnf(cls_gen__analz__insert__eq_0,axiom,
% 0.74/0.96 ( c_Message_Oanalz(c_Set_Oinsert(V_X,V_G,tc_Message_Omsg)) = c_Message_Oanalz(V_G)
% 0.74/0.96 | ~ c_lessequals(V_H,V_G,tc_fun(tc_Message_Omsg,tc_bool))
% 0.74/0.96 | ~ c_in(V_X,c_Message_Oanalz(V_H),tc_Message_Omsg) ) ).
% 0.74/0.96
% 0.74/0.96 cnf(cls_Fake__analz__eq_0,axiom,
% 0.74/0.96 ( c_Message_Osynth(c_Message_Oanalz(c_Set_Oinsert(V_X,V_H,tc_Message_Omsg))) = c_Message_Osynth(c_Message_Oanalz(V_H))
% 0.74/0.96 | ~ c_in(V_X,c_Message_Osynth(c_Message_Oanalz(V_H)),tc_Message_Omsg) ) ).
% 0.74/0.96
% 0.74/0.96 cnf(cls_synth__analz__insert__eq_1,axiom,
% 0.74/0.96 ( 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)
% 0.74/0.96 | ~ c_in(hAPP(c_Message_Omsg_OKey,V_K),c_Message_Oanalz(V_G),tc_Message_Omsg)
% 0.74/0.96 | ~ c_lessequals(V_H,V_G,tc_fun(tc_Message_Omsg,tc_bool))
% 0.74/0.96 | ~ c_in(V_X,c_Message_Osynth(c_Message_Oanalz(V_H)),tc_Message_Omsg) ) ).
% 0.74/0.96
% 0.74/0.96 cnf(cls_synth__analz__insert__eq_0,axiom,
% 0.74/0.96 ( c_in(hAPP(c_Message_Omsg_OKey,V_K),c_Message_Oanalz(V_G),tc_Message_Omsg)
% 0.74/0.96 | ~ 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)
% 0.74/0.96 | ~ c_lessequals(V_H,V_G,tc_fun(tc_Message_Omsg,tc_bool))
% 0.74/0.96 | ~ c_in(V_X,c_Message_Osynth(c_Message_Oanalz(V_H)),tc_Message_Omsg) ) ).
% 0.74/0.96
% 0.74/0.96 cnf(cls_analz__insert__Crypt__subset_0,axiom,
% 0.74/0.96 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)) ).
% 0.74/0.96
% 0.74/0.96 cnf(cls_analz__insert__cong_0,axiom,
% 0.74/0.96 ( c_Message_Oanalz(V_H) != c_Message_Oanalz(V_H_H)
% 0.74/0.96 | 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)) ) ).
% 0.74/0.96
% 0.74/0.96 cnf(cls_analz__mono_0,axiom,
% 0.74/0.96 ( c_lessequals(c_Message_Oanalz(V_G),c_Message_Oanalz(V_H),tc_fun(tc_Message_Omsg,tc_bool))
% 0.74/0.96 | ~ c_lessequals(V_G,V_H,tc_fun(tc_Message_Omsg,tc_bool)) ) ).
% 0.74/0.96
% 0.74/0.96 cnf(cls_analz__subset__iff_1,axiom,
% 0.74/0.96 ( c_lessequals(c_Message_Oanalz(V_G),c_Message_Oanalz(V_H),tc_fun(tc_Message_Omsg,tc_bool))
% 0.74/0.96 | ~ c_lessequals(V_G,c_Message_Oanalz(V_H),tc_fun(tc_Message_Omsg,tc_bool)) ) ).
% 0.74/0.96
% 0.74/0.96 cnf(cls_analz__subset__iff_0,axiom,
% 0.74/0.96 ( c_lessequals(V_G,c_Message_Oanalz(V_H),tc_fun(tc_Message_Omsg,tc_bool))
% 0.74/0.96 | ~ c_lessequals(c_Message_Oanalz(V_G),c_Message_Oanalz(V_H),tc_fun(tc_Message_Omsg,tc_bool)) ) ).
% 0.74/0.96
% 0.74/0.96 cnf(cls_analz__increasing_0,axiom,
% 0.74/0.96 c_lessequals(V_H,c_Message_Oanalz(V_H),tc_fun(tc_Message_Omsg,tc_bool)) ).
% 0.74/0.96
% 0.74/0.96 cnf(cls_analz__analz__Un_0,axiom,
% 0.74/0.96 c_Message_Oanalz(c_Lattices_Oupper__semilattice__class_Osup(c_Message_Oanalz(V_G),V_H,tc_fun(tc_Message_Omsg,tc_bool))) = c_Message_Oanalz(c_Lattices_Oupper__semilattice__class_Osup(V_G,V_H,tc_fun(tc_Message_Omsg,tc_bool))) ).
% 0.74/0.96
% 0.74/0.96 cnf(cls_analz__cong_0,axiom,
% 0.74/0.96 ( c_Message_Oanalz(V_H) != c_Message_Oanalz(V_H_H)
% 0.74/0.96 | c_Message_Oanalz(V_G) != c_Message_Oanalz(V_G_H)
% 0.74/0.96 | c_Message_Oanalz(c_Lattices_Oupper__semilattice__class_Osup(V_G,V_H,tc_fun(tc_Message_Omsg,tc_bool))) = c_Message_Oanalz(c_Lattices_Oupper__semilattice__class_Osup(V_G_H,V_H_H,tc_fun(tc_Message_Omsg,tc_bool))) ) ).
% 0.74/0.96
% 0.74/0.96 cnf(cls_event_Osimps_I4_J_0,axiom,
% 0.74/0.96 c_Event_Oevent_OSays(V_agent1,V_agent2,V_msg) != c_Event_Oevent_OGets(V_agent_H,V_msg_H) ).
% 0.74/0.96
% 0.74/0.96 cnf(cls_event_Osimps_I5_J_0,axiom,
% 0.74/0.96 c_Event_Oevent_OGets(V_agent_H,V_msg_H) != c_Event_Oevent_OSays(V_agent1,V_agent2,V_msg) ).
% 0.74/0.96
% 0.74/0.96 cnf(cls_pubK__neq__shrK_0,axiom,
% 0.74/0.96 hAPP(c_Public_OshrK,V_A) != hAPP(c_Public_OpublicKey(V_b),V_C) ).
% 0.74/0.96
% 0.74/0.96 cnf(cls_shrK__neq__pubK_0,axiom,
% 0.74/0.96 hAPP(c_Public_OpublicKey(V_b),V_C) != hAPP(c_Public_OshrK,V_A) ).
% 0.74/0.96
% 0.74/0.96 cnf(cls_invKey__shrK_0,axiom,
% 0.74/0.96 c_Message_OinvKey(hAPP(c_Public_OshrK,V_A)) = hAPP(c_Public_OshrK,V_A) ).
% 0.74/0.96
% 0.74/0.96 cnf(cls_not__symKeys__priK_0,axiom,
% 0.74/0.96 ~ c_in(c_Message_OinvKey(hAPP(c_Public_OpublicKey(V_b),V_A)),c_Message_OsymKeys,tc_nat) ).
% 0.74/0.96
% 0.74/0.96 cnf(cls_lemma1_0,axiom,
% 0.74/0.96 ( 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))
% 0.74/0.96 | ~ c_in(hAPP(c_Message_Omsg_OKey,c_Message_OinvKey(V_K)),c_Message_Oanalz(V_H),tc_Message_Omsg) ) ).
% 0.74/0.96
% 0.74/0.96 cnf(cls_lemma2_0,axiom,
% 0.74/0.96 ( 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))
% 0.74/0.96 | ~ c_in(hAPP(c_Message_Omsg_OKey,c_Message_OinvKey(V_K)),c_Message_Oanalz(V_H),tc_Message_Omsg) ) ).
% 0.74/0.96
% 0.74/0.96 cnf(cls_distinct_Osimps_I2_J_2,axiom,
% 0.74/0.96 ( c_List_Odistinct(c_List_Olist_OCons(V_x,V_xs,T_a),T_a)
% 0.74/0.96 | ~ c_List_Odistinct(V_xs,T_a)
% 0.74/0.96 | c_in(V_x,c_List_Oset(V_xs,T_a),T_a) ) ).
% 0.74/0.96
% 0.74/0.96 cnf(cls_remdups_Osimps_I2_J_1,axiom,
% 0.74/0.96 ( c_List_Oremdups(c_List_Olist_OCons(V_x,V_xs,T_a),T_a) = c_List_Olist_OCons(V_x,c_List_Oremdups(V_xs,T_a),T_a)
% 0.74/0.96 | c_in(V_x,c_List_Oset(V_xs,T_a),T_a) ) ).
% 0.74/0.96
% 0.74/0.96 cnf(cls_distinct_Osimps_I2_J_0,axiom,
% 0.74/0.96 ( ~ c_in(V_x,c_List_Oset(V_xs,T_a),T_a)
% 0.74/0.96 | ~ c_List_Odistinct(c_List_Olist_OCons(V_x,V_xs,T_a),T_a) ) ).
% 0.74/0.96
% 0.74/0.96 cnf(cls_length__unique_Osimps_I2_J_0,axiom,
% 0.74/0.96 ( c_List_Olength__unique(c_List_Olist_OCons(V_x,V_xs,T_a),T_a) = c_List_Olength__unique(V_xs,T_a)
% 0.74/0.96 | ~ c_in(V_x,c_List_Oset(V_xs,T_a),T_a) ) ).
% 0.74/0.96
% 0.74/0.96 cnf(cls_in__set__conv__decomp_1,axiom,
% 0.74/0.96 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) ).
% 0.74/0.96
% 0.74/0.96 cnf(cls_in__set__conv__decomp__last_2,axiom,
% 0.74/0.96 ( 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)
% 0.74/0.96 | c_in(V_x,c_List_Oset(V_xb,T_a),T_a) ) ).
% 0.74/0.96
% 0.74/0.96 cnf(cls_in__set__conv__decomp__first_2,axiom,
% 0.74/0.96 ( 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)
% 0.74/0.96 | c_in(V_x,c_List_Oset(V_xa,T_a),T_a) ) ).
% 0.74/0.96
% 0.74/0.96 cnf(cls_list__inter_Osimps_I2_J_1,axiom,
% 0.74/0.96 ( c_List_Olist__inter(c_List_Olist_OCons(V_a,V_as,T_a),V_bs,T_a) = c_List_Olist__inter(V_as,V_bs,T_a)
% 0.74/0.96 | c_in(V_a,c_List_Oset(V_bs,T_a),T_a) ) ).
% 0.74/0.96
% 0.74/0.96 cnf(cls_list__inter_Osimps_I2_J_0,axiom,
% 0.74/0.96 ( c_List_Olist__inter(c_List_Olist_OCons(V_a,V_as,T_a),V_bs,T_a) = c_List_Olist_OCons(V_a,c_List_Olist__inter(V_as,V_bs,T_a),T_a)
% 0.74/0.96 | ~ c_in(V_a,c_List_Oset(V_bs,T_a),T_a) ) ).
% 0.74/0.96
% 0.74/0.96 cnf(cls_remdups_Osimps_I2_J_0,axiom,
% 0.74/0.96 ( c_List_Oremdups(c_List_Olist_OCons(V_x,V_xs,T_a),T_a) = c_List_Oremdups(V_xs,T_a)
% 0.74/0.96 | ~ c_in(V_x,c_List_Oset(V_xs,T_a),T_a) ) ).
% 0.74/0.96
% 0.74/0.96 cnf(cls_rangeE_0,axiom,
% 0.74/0.96 ( V_b = hAPP(V_f,c_ATP__Linkup_Osko__Set__XrangeE__1__1(V_b,V_f,T_a,T_b))
% 0.74/0.96 | ~ c_in(V_b,c_Set_Oimage(V_f,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_bool)),T_b,T_a),T_a) ) ).
% 0.74/0.96
% 0.74/0.96 cnf(cls_inj__image__mem__iff_0,axiom,
% 0.74/0.96 ( c_in(V_a,V_A,T_a)
% 0.74/0.96 | ~ c_in(hAPP(V_f,V_a),c_Set_Oimage(V_f,V_A,T_a,T_b),T_b)
% 0.74/0.96 | ~ c_Fun_Oinj__on(V_f,c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_bool)),T_a,T_b) ) ).
% 0.74/0.96
% 0.74/0.96 cnf(cls_inj__image__mem__iff_1,axiom,
% 0.74/0.96 ( c_in(hAPP(V_f,V_a),c_Set_Oimage(V_f,V_A,T_a,T_b),T_b)
% 0.74/0.96 | ~ c_in(V_a,V_A,T_a)
% 0.74/0.96 | ~ c_Fun_Oinj__on(V_f,c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_bool)),T_a,T_b) ) ).
% 0.74/0.96
% 0.74/0.96 cnf(cls_analz__image__freshK_0,axiom,
% 0.74/0.96 ( c_in(hAPP(c_Message_Omsg_OKey,V_K),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,V_evs)),tc_Message_Omsg)
% 0.74/0.96 | c_in(V_K,V_KK,tc_nat)
% 0.74/0.96 | ~ 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)
% 0.74/0.96 | ~ c_lessequals(V_KK,c_HOL_Ouminus__class_Ouminus(c_Set_Oimage(c_Public_OshrK,c_Orderings_Otop__class_Otop(tc_fun(tc_Message_Oagent,tc_bool)),tc_Message_Oagent,tc_nat),tc_fun(tc_nat,tc_bool)),tc_fun(tc_nat,tc_bool))
% 0.74/0.96 | ~ c_in(V_evs,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent)) ) ).
% 0.74/0.96
% 0.74/0.96 cnf(cls_analz__image__freshK_1,axiom,
% 0.74/0.96 ( 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)
% 0.74/0.96 | ~ c_in(V_K,V_KK,tc_nat)
% 0.74/0.96 | ~ c_lessequals(V_KK,c_HOL_Ouminus__class_Ouminus(c_Set_Oimage(c_Public_OshrK,c_Orderings_Otop__class_Otop(tc_fun(tc_Message_Oagent,tc_bool)),tc_Message_Oagent,tc_nat),tc_fun(tc_nat,tc_bool)),tc_fun(tc_nat,tc_bool))
% 0.74/0.96 | ~ c_in(V_evs,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent)) ) ).
% 0.74/0.96
% 0.74/0.96 cnf(cls_Crypt__notin__initState_0,axiom,
% 0.74/0.96 ~ c_in(c_Message_Omsg_OCrypt(V_K,V_X),c_Message_Oparts(c_Event_OinitState(V_B)),tc_Message_Omsg) ).
% 0.74/0.96
% 0.74/0.96 cnf(cls_MPair__synth__analz_2,axiom,
% 0.74/0.96 ( c_in(c_Message_Omsg_OMPair(V_X,V_Y),c_Message_Osynth(c_Message_Oanalz(V_H)),tc_Message_Omsg)
% 0.74/0.96 | ~ c_in(V_Y,c_Message_Osynth(c_Message_Oanalz(V_H)),tc_Message_Omsg)
% 0.74/0.96 | ~ c_in(V_X,c_Message_Osynth(c_Message_Oanalz(V_H)),tc_Message_Omsg) ) ).
% 0.74/0.96
% 0.74/0.96 cnf(cls_MPair__synth__analz_0,axiom,
% 0.74/0.96 ( c_in(V_X,c_Message_Osynth(c_Message_Oanalz(V_H)),tc_Message_Omsg)
% 0.74/0.96 | ~ c_in(c_Message_Omsg_OMPair(V_X,V_Y),c_Message_Osynth(c_Message_Oanalz(V_H)),tc_Message_Omsg) ) ).
% 0.74/0.96
% 0.74/0.96 cnf(cls_MPair__synth__analz_1,axiom,
% 0.74/0.96 ( c_in(V_Y,c_Message_Osynth(c_Message_Oanalz(V_H)),tc_Message_Omsg)
% 0.74/0.96 | ~ c_in(c_Message_Omsg_OMPair(V_X,V_Y),c_Message_Osynth(c_Message_Oanalz(V_H)),tc_Message_Omsg) ) ).
% 0.74/0.96
% 0.74/0.96 cnf(cls_in__lists__conv__set_0,axiom,
% 0.74/0.96 ( c_in(V_x,V_A,T_a)
% 0.74/0.96 | ~ c_in(V_x,c_List_Oset(V_xs,T_a),T_a)
% 0.74/0.96 | ~ c_in(V_xs,c_List_Olists(V_A,T_a),tc_List_Olist(T_a)) ) ).
% 0.74/0.96
% 0.74/0.96 cnf(cls_synth_OCrypt_0,axiom,
% 0.74/0.96 ( c_in(c_Message_Omsg_OCrypt(V_K,V_X),c_Message_Osynth(V_H),tc_Message_Omsg)
% 0.74/0.96 | ~ c_in(hAPP(c_Message_Omsg_OKey,V_K),V_H,tc_Message_Omsg)
% 0.74/0.96 | ~ c_in(V_X,c_Message_Osynth(V_H),tc_Message_Omsg) ) ).
% 0.74/0.96
% 0.74/0.96 cnf(cls_Crypt__synth_1,axiom,
% 0.74/0.96 ( c_in(hAPP(c_Message_Omsg_OKey,V_K),V_H,tc_Message_Omsg)
% 0.74/0.96 | c_in(c_Message_Omsg_OCrypt(V_K,V_X),V_H,tc_Message_Omsg)
% 0.74/0.96 | ~ c_in(c_Message_Omsg_OCrypt(V_K,V_X),c_Message_Osynth(V_H),tc_Message_Omsg) ) ).
% 0.74/0.96
% 0.74/0.96 cnf(cls_Crypt__synth__eq_0,axiom,
% 0.74/0.96 ( c_in(c_Message_Omsg_OCrypt(V_K,V_X),V_H,tc_Message_Omsg)
% 0.74/0.96 | ~ c_in(c_Message_Omsg_OCrypt(V_K,V_X),c_Message_Osynth(V_H),tc_Message_Omsg)
% 0.74/0.96 | c_in(hAPP(c_Message_Omsg_OKey,V_K),V_H,tc_Message_Omsg) ) ).
% 0.74/0.96
% 0.74/0.96 cnf(cls_Crypt__synth__eq_1,axiom,
% 0.74/0.96 ( c_in(c_Message_Omsg_OCrypt(V_K,V_X),c_Message_Osynth(V_H),tc_Message_Omsg)
% 0.74/0.96 | ~ c_in(c_Message_Omsg_OCrypt(V_K,V_X),V_H,tc_Message_Omsg)
% 0.74/0.96 | c_in(hAPP(c_Message_Omsg_OKey,V_K),V_H,tc_Message_Omsg) ) ).
% 0.74/0.96
% 0.74/0.96 cnf(cls_Crypt__notin__image__Key_0,axiom,
% 0.74/0.96 ~ 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) ).
% 0.74/0.96
% 0.74/0.96 cnf(cls_Nonce__notin__initState_0,axiom,
% 0.74/0.96 ~ c_in(c_Message_Omsg_ONonce(V_N),c_Message_Oparts(c_Event_OinitState(V_B)),tc_Message_Omsg) ).
% 0.74/0.96
% 0.74/0.96 cnf(cls_Key__image__eq_0,axiom,
% 0.74/0.96 ( c_in(V_x,V_A,tc_nat)
% 0.74/0.96 | ~ 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) ) ).
% 0.74/0.96
% 0.74/0.96 cnf(cls_Key__image__eq_1,axiom,
% 0.74/0.96 ( 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)
% 0.74/0.96 | ~ c_in(V_x,V_A,tc_nat) ) ).
% 0.74/0.96
% 0.74/0.96 cnf(cls_Nonce__Key__image__eq_0,axiom,
% 0.74/0.96 ~ 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) ).
% 0.74/0.96
% 0.74/0.96 cnf(cls_shrK__in__initState_0,axiom,
% 0.74/0.96 c_in(hAPP(c_Message_Omsg_OKey,hAPP(c_Public_OshrK,V_A)),c_Event_OinitState(V_A),tc_Message_Omsg) ).
% 0.74/0.96
% 0.74/0.96 cnf(cls_initState__into__used_0,axiom,
% 0.74/0.96 ( c_in(V_X,c_Event_Oused(V_evs),tc_Message_Omsg)
% 0.74/0.96 | ~ c_in(V_X,c_Message_Oparts(c_Event_OinitState(V_B)),tc_Message_Omsg) ) ).
% 0.74/0.96
% 0.74/0.96 cnf(cls_Crypt__notin__used__empty_0,axiom,
% 0.74/0.96 ~ c_in(c_Message_Omsg_OCrypt(V_K,V_X),c_Event_Oused(c_List_Olist_ONil(tc_Event_Oevent)),tc_Message_Omsg) ).
% 0.74/0.96
% 0.74/0.96 cnf(cls_publicKey__into__used_0,axiom,
% 0.74/0.96 c_in(hAPP(c_Message_Omsg_OKey,hAPP(c_Public_OpublicKey(V_b),V_A)),c_Event_Oused(V_evs),tc_Message_Omsg) ).
% 0.74/0.96
% 0.74/0.96 cnf(cls_ns__sharedp_OFake_0,axiom,
% 0.74/0.96 ( 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))
% 0.74/0.96 | ~ c_in(V_X,c_Message_Osynth(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,V_evsf))),tc_Message_Omsg)
% 0.74/0.96 | ~ c_NS__Shared__Mirabelle_Ons__sharedp(V_evsf) ) ).
% 0.74/0.96
% 0.74/0.96 cnf(cls_Nonce__notin__used__empty_0,axiom,
% 0.74/0.96 ~ c_in(c_Message_Omsg_ONonce(V_N),c_Event_Oused(c_List_Olist_ONil(tc_Event_Oevent)),tc_Message_Omsg) ).
% 0.74/0.96
% 0.74/0.96 cnf(cls_Nonce__supply1_0,axiom,
% 0.74/0.96 ~ c_in(c_Message_Omsg_ONonce(c_Public_Osko__Public__XNonce__supply1__1__1(V_evs)),c_Event_Oused(V_evs),tc_Message_Omsg) ).
% 0.74/0.96
% 0.74/0.96 cnf(cls_Spy__spies__bad__privateKey_0,axiom,
% 0.74/0.96 ( c_in(hAPP(c_Message_Omsg_OKey,c_Message_OinvKey(hAPP(c_Public_OpublicKey(V_b),V_A))),c_Event_Oknows(c_Message_Oagent_OSpy,V_evs),tc_Message_Omsg)
% 0.74/0.96 | ~ c_in(V_A,c_Event_Obad,tc_Message_Oagent) ) ).
% 0.74/0.96
% 0.74/0.96 cnf(cls_knows__Spy__Gets_0,axiom,
% 0.74/0.96 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) ).
% 0.74/0.96
% 0.74/0.96 cnf(cls_knows__subset__knows__Says_0,axiom,
% 0.74/0.96 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)) ).
% 0.74/0.96
% 0.74/0.96 cnf(cls_knows__Says_0,axiom,
% 0.74/0.96 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) ).
% 0.74/0.96
% 0.74/0.96 cnf(cls_shrK__notin__image__publicKey_0,axiom,
% 0.74/0.96 ~ 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) ).
% 0.74/0.96
% 0.74/0.96 cnf(cls_publicKey__notin__image__shrK_0,axiom,
% 0.74/0.96 ~ 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) ).
% 0.74/0.96
% 0.74/0.96 cnf(cls_knows__Notes_0,axiom,
% 0.74/0.96 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) ).
% 0.74/0.96
% 0.74/0.96 cnf(cls_knows__subset__knows__Notes_0,axiom,
% 0.74/0.96 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)) ).
% 0.74/0.96
% 0.74/0.96 cnf(cls_spies__Notes__rev_1,axiom,
% 0.74/0.96 ( 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)
% 0.74/0.96 | c_in(V_A,c_Event_Obad,tc_Message_Oagent) ) ).
% 0.74/0.96
% 0.74/0.96 cnf(cls_publicKey__image__eq_1,axiom,
% 0.74/0.96 ( c_in(V_x,V_AA,tc_Message_Oagent)
% 0.74/0.96 | ~ 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) ) ).
% 0.74/0.96
% 0.74/0.96 cnf(cls_publicKey__image__eq_2,axiom,
% 0.74/0.96 ( 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)
% 0.74/0.96 | ~ c_in(V_xa,V_AA,tc_Message_Oagent) ) ).
% 0.74/0.96
% 0.74/0.96 cnf(cls_analz_ODecrypt_0,axiom,
% 0.74/0.96 ( c_in(V_X,c_Message_Oanalz(V_H),tc_Message_Omsg)
% 0.74/0.96 | ~ c_in(hAPP(c_Message_Omsg_OKey,c_Message_OinvKey(V_K)),c_Message_Oanalz(V_H),tc_Message_Omsg)
% 0.74/0.96 | ~ c_in(c_Message_Omsg_OCrypt(V_K,V_X),c_Message_Oanalz(V_H),tc_Message_Omsg) ) ).
% 0.74/0.96
% 0.74/0.96 cnf(cls_spies__pubK_0,axiom,
% 0.74/0.96 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) ).
% 0.74/0.96
% 0.74/0.96 cnf(cls_Crypt__imp__invKey__keysFor_0,axiom,
% 0.74/0.96 ( c_in(c_Message_OinvKey(V_K),c_Message_OkeysFor(V_H),tc_nat)
% 0.74/0.96 | ~ c_in(c_Message_Omsg_OCrypt(V_K,V_X),V_H,tc_Message_Omsg) ) ).
% 0.74/0.96
% 0.74/0.96 cnf(cls_parts__knows__Spy__subset__used_0,axiom,
% 0.74/0.96 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)) ).
% 0.74/0.96
% 0.74/0.96 cnf(cls_analz__insert__Key_0,axiom,
% 0.74/0.96 ( 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)
% 0.74/0.96 | c_in(V_K,c_Message_OkeysFor(c_Message_Oanalz(V_H)),tc_nat) ) ).
% 0.74/0.96
% 0.74/0.96 cnf(cls_knows__Spy__subset__knows__Spy__Says_0,axiom,
% 0.74/0.96 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)) ).
% 0.74/0.96
% 0.74/0.96 cnf(cls_knows__Spy__Says_0,axiom,
% 0.74/0.96 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) ).
% 0.74/0.96
% 0.74/0.96 cnf(cls_knows__Spy__subset__knows__Spy__Notes_0,axiom,
% 0.74/0.96 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)) ).
% 0.74/0.96
% 0.74/0.96 cnf(cls_Issues__def_0,axiom,
% 0.74/0.96 ( 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)
% 0.74/0.96 | ~ c_NS__Shared__Mirabelle_OIssues(V_A,V_B,V_X,V_evs) ) ).
% 0.74/0.96
% 0.74/0.96 cnf(cls_analz__spies__pubK_0,axiom,
% 0.74/0.96 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) ).
% 0.74/0.96
% 0.74/0.96 cnf(cls_analz__mono__contra_I3_J_0,axiom,
% 0.74/0.96 ( ~ c_in(V_c,c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,V_evs)),tc_Message_Omsg)
% 0.74/0.96 | 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) ) ).
% 0.74/0.96
% 0.74/0.96 cnf(cls_Gets__imp__knows__agents_0,axiom,
% 0.74/0.96 ( c_in(V_X,c_Event_Oknows(V_A,V_evs),tc_Message_Omsg)
% 0.74/0.96 | ~ c_in(c_Event_Oevent_OGets(V_A,V_X),c_List_Oset(V_evs,tc_Event_Oevent),tc_Event_Oevent)
% 0.74/0.96 | V_A = c_Message_Oagent_OSpy ) ).
% 0.74/0.96
% 0.74/0.96 cnf(cls_knows__Spy__Notes_0,axiom,
% 0.74/0.96 ( 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)
% 0.74/0.96 | ~ c_in(V_A,c_Event_Obad,tc_Message_Oagent) ) ).
% 0.74/0.96
% 0.74/0.96 cnf(cls_ns__sharedp_ONS1_0,axiom,
% 0.74/0.96 ( 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))
% 0.74/0.96 | c_in(c_Message_Omsg_ONonce(V_NA),c_Event_Oused(V_evs1),tc_Message_Omsg)
% 0.74/0.96 | ~ c_NS__Shared__Mirabelle_Ons__sharedp(V_evs1) ) ).
% 0.74/0.96
% 0.74/0.96 cnf(cls_ns__shared_OFake_0,axiom,
% 0.74/0.96 ( 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))
% 0.74/0.96 | ~ c_in(V_X,c_Message_Osynth(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,V_evsf))),tc_Message_Omsg)
% 0.74/0.96 | ~ c_in(V_evsf,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent)) ) ).
% 0.74/0.96
% 0.74/0.96 cnf(cls_B__trusts__NS5_0,axiom,
% 0.74/0.96 ( 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)
% 0.74/0.96 | ~ c_in(V_evs,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))
% 0.74/0.96 | c_in(V_B,c_Event_Obad,tc_Message_Oagent)
% 0.74/0.96 | c_in(V_A,c_Event_Obad,tc_Message_Oagent)
% 0.74/0.96 | 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)
% 0.74/0.96 | ~ 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)
% 0.74/0.96 | ~ 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) ) ).
% 0.74/0.96
% 0.74/0.96 cnf(cls_ns__sharedp_ONS3_0,axiom,
% 0.74/0.96 ( 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))
% 0.74/0.96 | ~ 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)
% 0.74/0.96 | ~ 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)
% 0.74/0.96 | V_A = c_Message_Oagent_OServer
% 0.74/0.96 | ~ c_NS__Shared__Mirabelle_Ons__sharedp(V_evs3) ) ).
% 0.74/0.96
% 0.74/0.96 cnf(cls_analz__insert__freshK_1,axiom,
% 0.74/0.96 ( 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)
% 0.74/0.96 | ~ c_in(V_evs,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))
% 0.74/0.96 | 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) ) ).
% 0.74/0.96
% 0.74/0.96 cnf(cls_analz__insert__freshK_0,axiom,
% 0.74/0.96 ( c_in(hAPP(c_Message_Omsg_OKey,V_K),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,V_evs)),tc_Message_Omsg)
% 0.74/0.96 | V_K = V_KAB
% 0.74/0.96 | ~ 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)
% 0.74/0.96 | 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)
% 0.74/0.96 | ~ c_in(V_evs,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent)) ) ).
% 0.74/0.96
% 0.74/0.96 cnf(cls_analz__insert__freshK_2,axiom,
% 0.74/0.96 ( 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)
% 0.74/0.96 | ~ c_in(hAPP(c_Message_Omsg_OKey,V_K),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,V_evs)),tc_Message_Omsg)
% 0.74/0.96 | 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)
% 0.74/0.96 | ~ c_in(V_evs,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent)) ) ).
% 0.74/0.96
% 0.74/0.96 cnf(cls_ns__sharedp_ONS5_0,axiom,
% 0.74/0.96 ( 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))
% 0.74/0.96 | ~ 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)
% 0.74/0.96 | ~ 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)
% 0.74/0.96 | ~ c_in(V_K,c_Message_OsymKeys,tc_nat)
% 0.74/0.96 | ~ c_NS__Shared__Mirabelle_Ons__sharedp(V_evs5) ) ).
% 0.74/0.96
% 0.74/0.96 cnf(cls_ns__sharedp_OOops_0,axiom,
% 0.74/0.96 ( 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))
% 0.74/0.96 | ~ 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)
% 0.74/0.96 | ~ 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)
% 0.74/0.96 | ~ c_NS__Shared__Mirabelle_Ons__sharedp(V_evso) ) ).
% 0.74/0.96
% 0.74/0.96 cnf(cls_ns__sharedp_ONS4_0,axiom,
% 0.74/0.96 ( 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))
% 0.74/0.96 | ~ 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)
% 0.74/0.96 | ~ c_in(V_K,c_Message_OsymKeys,tc_nat)
% 0.74/0.96 | c_in(c_Message_Omsg_ONonce(V_NB),c_Event_Oused(V_evs4),tc_Message_Omsg)
% 0.74/0.96 | ~ c_NS__Shared__Mirabelle_Ons__sharedp(V_evs4) ) ).
% 0.74/0.96
% 0.74/0.96 cnf(cls_ns__sharedp_ONS2_0,axiom,
% 0.74/0.96 ( 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))
% 0.74/0.96 | ~ 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)
% 0.74/0.96 | ~ c_in(V_KAB,c_Message_OsymKeys,tc_nat)
% 0.74/0.96 | c_in(hAPP(c_Message_Omsg_OKey,V_KAB),c_Event_Oused(V_evs2),tc_Message_Omsg)
% 0.74/0.96 | ~ c_NS__Shared__Mirabelle_Ons__sharedp(V_evs2) ) ).
% 0.74/0.96
% 0.74/0.96 cnf(cls_Notes__imp__knows__Spy_0,axiom,
% 0.74/0.96 ( c_in(V_X,c_Event_Oknows(c_Message_Oagent_OSpy,V_evs),tc_Message_Omsg)
% 0.74/0.96 | ~ c_in(V_A,c_Event_Obad,tc_Message_Oagent)
% 0.74/0.96 | ~ c_in(c_Event_Oevent_ONotes(V_A,V_X),c_List_Oset(V_evs,tc_Event_Oevent),tc_Event_Oevent) ) ).
% 0.74/0.96
% 0.74/0.96 cnf(cls_cert__A__form_0,axiom,
% 0.74/0.96 ( ~ 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)
% 0.74/0.96 | ~ c_in(V_evs,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))
% 0.74/0.96 | c_in(V_A,c_Event_Obad,tc_Message_Oagent)
% 0.74/0.96 | ~ 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) ) ).
% 0.74/0.96
% 0.74/0.96 cnf(cls_ns__shared_OOops_0,axiom,
% 0.74/0.96 ( 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))
% 0.74/0.96 | ~ 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)
% 0.74/0.96 | ~ 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)
% 0.74/0.96 | ~ c_in(V_evso,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent)) ) ).
% 0.74/0.96
% 0.74/0.96 cnf(cls_Says__Server__message__form_0,axiom,
% 0.74/0.96 ( ~ 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)
% 0.74/0.97 | ~ c_in(V_evs,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))
% 0.74/0.97 | ~ 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) ) ).
% 0.74/0.97
% 0.74/0.97 cnf(cls_analz__mono__contra_I1_J_0,axiom,
% 0.74/0.97 ( ~ c_in(V_c,c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,V_evs)),tc_Message_Omsg)
% 0.74/0.97 | 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) ) ).
% 0.74/0.97
% 0.74/0.97 cnf(cls_Notes__imp__used_0,axiom,
% 0.74/0.97 ( c_in(V_X,c_Event_Oused(V_evs),tc_Message_Omsg)
% 0.74/0.97 | ~ c_in(c_Event_Oevent_ONotes(V_A,V_X),c_List_Oset(V_evs,tc_Event_Oevent),tc_Event_Oevent) ) ).
% 0.74/0.97
% 0.74/0.97 cnf(cls_Crypt__imp__keysFor_0,axiom,
% 0.74/0.97 ( c_in(V_K,c_Message_OkeysFor(V_H),tc_nat)
% 0.74/0.97 | ~ c_in(V_K,c_Message_OsymKeys,tc_nat)
% 0.74/0.97 | ~ c_in(c_Message_Omsg_OCrypt(V_K,V_X),V_H,tc_Message_Omsg) ) ).
% 0.74/0.97
% 0.74/0.97 cnf(cls_Notes__imp__knows_0,axiom,
% 0.74/0.97 ( c_in(V_X,c_Event_Oknows(V_A,V_evs),tc_Message_Omsg)
% 0.74/0.97 | ~ c_in(c_Event_Oevent_ONotes(V_A,V_X),c_List_Oset(V_evs,tc_Event_Oevent),tc_Event_Oevent) ) ).
% 0.74/0.97
% 0.74/0.97 cnf(cls_shrK__image__eq_0,axiom,
% 0.74/0.97 ( c_in(V_x,V_AA,tc_Message_Oagent)
% 0.74/0.97 | ~ c_in(hAPP(c_Public_OshrK,V_x),c_Set_Oimage(c_Public_OshrK,V_AA,tc_Message_Oagent,tc_nat),tc_nat) ) ).
% 0.74/0.97
% 0.74/0.97 cnf(cls_shrK__image__eq_1,axiom,
% 0.74/0.97 ( c_in(hAPP(c_Public_OshrK,V_x),c_Set_Oimage(c_Public_OshrK,V_AA,tc_Message_Oagent,tc_nat),tc_nat)
% 0.74/0.97 | ~ c_in(V_x,V_AA,tc_Message_Oagent) ) ).
% 0.74/0.97
% 0.74/0.97 cnf(cls_Key__not__used_0,axiom,
% 0.74/0.97 ( ~ 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)
% 0.74/0.97 | c_in(hAPP(c_Message_Omsg_OKey,V_K),c_Event_Oused(V_evs),tc_Message_Omsg) ) ).
% 0.74/0.97
% 0.74/0.97 cnf(cls_knows__Spy__Notes_1,axiom,
% 0.74/0.97 ( c_Event_Oknows(c_Message_Oagent_OSpy,c_List_Olist_OCons(c_Event_Oevent_ONotes(V_A,V_X),V_evs,tc_Event_Oevent)) = c_Event_Oknows(c_Message_Oagent_OSpy,V_evs)
% 0.74/0.97 | c_in(V_A,c_Event_Obad,tc_Message_Oagent) ) ).
% 0.74/0.97
% 0.74/0.97 cnf(cls_analz__mono__contra_I2_J_0,axiom,
% 0.74/0.97 ( ~ c_in(V_c,c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,V_evs)),tc_Message_Omsg)
% 0.74/0.97 | 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) ) ).
% 0.74/0.97
% 0.74/0.97 cnf(cls_set__ConsD_0,axiom,
% 0.74/0.97 ( c_in(V_y,c_List_Oset(V_xs,T_a),T_a)
% 0.74/0.97 | V_y = V_x
% 0.74/0.97 | ~ c_in(V_y,c_List_Oset(c_List_Olist_OCons(V_x,V_xs,T_a),T_a),T_a) ) ).
% 0.74/0.97
% 0.74/0.97 cnf(cls_event_Osimps_I7_J_0,axiom,
% 0.74/0.97 c_Event_Oevent_ONotes(V_agent_H,V_msg_H) != c_Event_Oevent_OSays(V_agent1,V_agent2,V_msg) ).
% 0.74/0.97
% 0.74/0.97 cnf(cls_event_Osimps_I6_J_0,axiom,
% 0.74/0.97 c_Event_Oevent_OSays(V_agent1,V_agent2,V_msg) != c_Event_Oevent_ONotes(V_agent_H,V_msg_H) ).
% 0.74/0.97
% 0.74/0.97 cnf(cls_imageI_0,axiom,
% 0.74/0.97 ( c_in(hAPP(V_f,V_x),c_Set_Oimage(V_f,V_A,T_a,T_b),T_b)
% 0.74/0.97 | ~ c_in(V_x,V_A,T_a) ) ).
% 0.74/0.97
% 0.74/0.97 cnf(cls_image__eqI_0,axiom,
% 0.74/0.97 ( c_in(hAPP(V_f,V_x),c_Set_Oimage(V_f,V_A,T_b,T_a),T_a)
% 0.74/0.97 | ~ c_in(V_x,V_A,T_b) ) ).
% 0.74/0.97
% 0.74/0.97 cnf(cls_image__iff_2,axiom,
% 0.74/0.97 ( ~ c_in(V_x,V_A,T_b)
% 0.74/0.97 | c_in(hAPP(V_f,V_x),c_Set_Oimage(V_f,V_A,T_b,T_a),T_a) ) ).
% 0.74/0.97
% 0.74/0.97 cnf(cls_rev__image__eqI_0,axiom,
% 0.74/0.97 ( ~ c_in(V_x,V_A,T_aa)
% 0.74/0.97 | c_in(hAPP(V_f,V_x),c_Set_Oimage(V_f,V_A,T_aa,T_a),T_a) ) ).
% 0.74/0.97
% 0.74/0.97 cnf(cls_UNIV__I_0,axiom,
% 0.74/0.97 c_in(V_x,c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_bool)),T_a) ).
% 0.74/0.97
% 0.74/0.97 cnf(cls_not__Cons__self_0,axiom,
% 0.74/0.97 V_xs != c_List_Olist_OCons(V_x,V_xs,T_a) ).
% 0.74/0.97
% 0.74/0.97 cnf(cls_not__Cons__self2_0,axiom,
% 0.74/0.97 c_List_Olist_OCons(V_x,V_t,T_a) != V_t ).
% 0.74/0.97
% 0.74/0.97 cnf(cls_rangeI_0,axiom,
% 0.74/0.97 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) ).
% 0.74/0.97
% 0.74/0.97 cnf(cls_top1I_0,axiom,
% 0.74/0.97 hBOOL(hAPP(c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_bool)),V_x)) ).
% 0.74/0.97
% 0.74/0.97 cnf(cls_event_Osimps_I3_J_1,axiom,
% 0.74/0.97 ( c_Event_Oevent_ONotes(V_agent,V_msg) != c_Event_Oevent_ONotes(V_agent_H,V_msg_H)
% 0.74/0.97 | V_msg = V_msg_H ) ).
% 0.74/0.97
% 0.74/0.97 cnf(cls_event_Osimps_I3_J_0,axiom,
% 0.74/0.97 ( c_Event_Oevent_ONotes(V_agent,V_msg) != c_Event_Oevent_ONotes(V_agent_H,V_msg_H)
% 0.74/0.97 | V_agent = V_agent_H ) ).
% 0.74/0.97
% 0.74/0.97 cnf(cls_list_Oinject_0,axiom,
% 0.74/0.97 ( c_List_Olist_OCons(V_a,V_list,T_a) != c_List_Olist_OCons(V_a_H,V_list_H,T_a)
% 0.74/0.97 | V_a = V_a_H ) ).
% 0.74/0.97
% 0.74/0.97 cnf(cls_list_Oinject_1,axiom,
% 0.74/0.97 ( c_List_Olist_OCons(V_a,V_list,T_a) != c_List_Olist_OCons(V_a_H,V_list_H,T_a)
% 0.74/0.97 | V_list = V_list_H ) ).
% 0.74/0.97
% 0.74/0.97 cnf(cls_Says__S__message__form_0,axiom,
% 0.74/0.97 ( c_in(V_X,c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,V_evs)),tc_Message_Omsg)
% 0.74/0.97 | ~ 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)
% 0.74/0.97 | ~ c_in(V_evs,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))
% 0.74/0.97 | ~ 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) ) ).
% 0.74/0.97
% 0.74/0.97 cnf(cls_Spy__not__see__encrypted__key_0,axiom,
% 0.74/0.97 ( ~ c_in(hAPP(c_Message_Omsg_OKey,V_K),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,V_evs)),tc_Message_Omsg)
% 0.74/0.97 | ~ c_in(V_evs,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))
% 0.74/0.97 | c_in(V_B,c_Event_Obad,tc_Message_Oagent)
% 0.74/0.97 | c_in(V_A,c_Event_Obad,tc_Message_Oagent)
% 0.74/0.97 | 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)
% 0.74/0.97 | ~ 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) ) ).
% 0.74/0.97
% 0.74/0.97 cnf(cls_A__trusts__NS4_0,axiom,
% 0.74/0.97 ( 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)
% 0.74/0.97 | ~ c_in(V_evs,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))
% 0.74/0.97 | c_in(V_B,c_Event_Obad,tc_Message_Oagent)
% 0.74/0.97 | c_in(V_A,c_Event_Obad,tc_Message_Oagent)
% 0.74/0.97 | 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)
% 0.74/0.97 | ~ 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)
% 0.74/0.97 | ~ 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) ) ).
% 0.74/0.97
% 0.74/0.97 cnf(cls_secrecy__lemma_0,axiom,
% 0.74/0.97 ( ~ c_in(hAPP(c_Message_Omsg_OKey,V_K),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,V_evs)),tc_Message_Omsg)
% 0.74/0.97 | 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)
% 0.74/0.97 | ~ c_in(V_evs,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))
% 0.74/0.97 | c_in(V_B,c_Event_Obad,tc_Message_Oagent)
% 0.74/0.97 | c_in(V_A,c_Event_Obad,tc_Message_Oagent)
% 0.74/0.97 | ~ 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) ) ).
% 0.74/0.97
% 0.74/0.97 cnf(cls_ns__shared_ONS1_0,axiom,
% 0.74/0.97 ( 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))
% 0.74/0.97 | c_in(c_Message_Omsg_ONonce(V_NA),c_Event_Oused(V_evs1),tc_Message_Omsg)
% 0.74/0.97 | ~ c_in(V_evs1,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent)) ) ).
% 0.74/0.97
% 0.74/0.97 cnf(cls_new__keys__not__used_0,axiom,
% 0.74/0.97 ( ~ c_in(V_K,c_Message_OkeysFor(c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,V_evs))),tc_nat)
% 0.74/0.97 | ~ c_in(V_evs,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))
% 0.74/0.97 | ~ c_in(V_K,c_Message_OsymKeys,tc_nat)
% 0.74/0.97 | c_in(hAPP(c_Message_Omsg_OKey,V_K),c_Event_Oused(V_evs),tc_Message_Omsg) ) ).
% 0.74/0.97
% 0.74/0.97 cnf(cls_ns__shared_ONS3_0,axiom,
% 0.74/0.97 ( 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))
% 0.74/0.97 | ~ 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)
% 0.74/0.97 | ~ 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)
% 0.74/0.97 | V_A = c_Message_Oagent_OServer
% 0.74/0.97 | ~ c_in(V_evs3,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent)) ) ).
% 0.74/0.97
% 0.74/0.97 cnf(cls_ns__shared_ONS5_0,axiom,
% 0.74/0.97 ( 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))
% 0.74/0.97 | ~ 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)
% 0.74/0.97 | ~ 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)
% 0.74/0.97 | ~ c_in(V_K,c_Message_OsymKeys,tc_nat)
% 0.74/0.97 | ~ c_in(V_evs5,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent)) ) ).
% 0.74/0.97
% 0.74/0.97 cnf(cls_B__Issues__A_0,axiom,
% 0.74/0.97 ( c_NS__Shared__Mirabelle_OIssues(V_B,V_A,c_Message_Omsg_OCrypt(V_K,c_Message_Omsg_ONonce(V_Nb)),V_evs)
% 0.74/0.97 | ~ c_in(V_evs,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))
% 0.74/0.97 | c_in(V_B,c_Event_Obad,tc_Message_Oagent)
% 0.74/0.97 | c_in(V_A,c_Event_Obad,tc_Message_Oagent)
% 0.74/0.97 | c_in(hAPP(c_Message_Omsg_OKey,V_K),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,V_evs)),tc_Message_Omsg)
% 0.74/0.97 | ~ 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) ) ).
% 0.74/0.97
% 0.74/0.97 cnf(cls_A__authenticates__and__keydist__to__B_0,axiom,
% 0.74/0.97 ( c_NS__Shared__Mirabelle_OIssues(V_B,V_A,c_Message_Omsg_OCrypt(V_K,c_Message_Omsg_ONonce(V_NB)),V_evs)
% 0.74/0.97 | ~ c_in(V_evs,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))
% 0.74/0.97 | c_in(V_B,c_Event_Obad,tc_Message_Oagent)
% 0.74/0.97 | c_in(V_A,c_Event_Obad,tc_Message_Oagent)
% 0.74/0.97 | c_in(hAPP(c_Message_Omsg_OKey,V_K),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,V_evs)),tc_Message_Omsg)
% 0.74/0.97 | ~ 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)
% 0.74/0.97 | ~ 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) ) ).
% 0.74/0.97
% 0.74/0.97 cnf(cls_ns__shared_ONS4_0,axiom,
% 0.74/0.97 ( 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))
% 0.74/0.97 | ~ 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)
% 0.74/0.97 | ~ c_in(V_K,c_Message_OsymKeys,tc_nat)
% 0.74/0.97 | c_in(c_Message_Omsg_ONonce(V_NB),c_Event_Oused(V_evs4),tc_Message_Omsg)
% 0.74/0.97 | ~ c_in(V_evs4,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent)) ) ).
% 0.74/0.97
% 0.74/0.97 cnf(cls_ns__shared_ONS2_0,axiom,
% 0.74/0.97 ( 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))
% 0.74/0.97 | ~ 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)
% 0.74/0.97 | ~ c_in(V_KAB,c_Message_OsymKeys,tc_nat)
% 0.74/0.97 | c_in(hAPP(c_Message_Omsg_OKey,V_KAB),c_Event_Oused(V_evs2),tc_Message_Omsg)
% 0.74/0.97 | ~ c_in(V_evs2,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent)) ) ).
% 0.74/0.97
% 0.74/0.97 cnf(cls_NS4__implies__NS3_0,axiom,
% 0.74/0.97 ( 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)
% 0.74/0.97 | ~ 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)
% 0.74/0.97 | ~ 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)
% 0.74/0.97 | c_in(hAPP(c_Message_Omsg_OKey,V_K),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,V_evs)),tc_Message_Omsg)
% 0.74/0.97 | ~ c_in(V_evs,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent)) ) ).
% 0.74/0.97
% 0.74/0.97 cnf(cls_B__trusts__NS3_0,axiom,
% 0.74/0.97 ( 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)
% 0.74/0.97 | ~ c_in(V_evs,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))
% 0.74/0.97 | c_in(V_B,c_Event_Obad,tc_Message_Oagent)
% 0.74/0.97 | ~ 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) ) ).
% 0.74/0.97
% 0.74/0.97 cnf(cls_sym__shrK_0,axiom,
% 0.74/0.97 c_in(hAPP(c_Public_OshrK,V_X),c_Message_OsymKeys,tc_nat) ).
% 0.74/0.97
% 0.74/0.97 cnf(cls_msg_Osimps_I1_J_0,axiom,
% 0.74/0.97 ( c_Message_Omsg_OAgent(V_agent) != c_Message_Omsg_OAgent(V_agent_H)
% 0.74/0.97 | V_agent = V_agent_H ) ).
% 0.74/0.97
% 0.74/0.97 cnf(cls_parts__analz_0,axiom,
% 0.74/0.97 c_Message_Oparts(c_Message_Oanalz(V_H)) = c_Message_Oparts(V_H) ).
% 0.74/0.97
% 0.74/0.97 cnf(cls_Says__imp__knows_0,axiom,
% 0.74/0.97 ( c_in(V_X,c_Event_Oknows(V_A,V_evs),tc_Message_Omsg)
% 0.74/0.97 | ~ c_in(c_Event_Oevent_OSays(V_A,V_B,V_X),c_List_Oset(V_evs,tc_Event_Oevent),tc_Event_Oevent) ) ).
% 0.74/0.97
% 0.74/0.97 cnf(cls_analz__idem_0,axiom,
% 0.74/0.97 c_Message_Oanalz(c_Message_Oanalz(V_H)) = c_Message_Oanalz(V_H) ).
% 0.74/0.97
% 0.74/0.97 cnf(cls_analz_OSnd_0,axiom,
% 0.74/0.97 ( c_in(V_Y,c_Message_Oanalz(V_H),tc_Message_Omsg)
% 0.74/0.97 | ~ c_in(c_Message_Omsg_OMPair(V_X,V_Y),c_Message_Oanalz(V_H),tc_Message_Omsg) ) ).
% 0.74/0.97
% 0.74/0.97 cnf(cls_analz_OFst_0,axiom,
% 0.74/0.97 ( c_in(V_X,c_Message_Oanalz(V_H),tc_Message_Omsg)
% 0.74/0.97 | ~ c_in(c_Message_Omsg_OMPair(V_X,V_Y),c_Message_Oanalz(V_H),tc_Message_Omsg) ) ).
% 0.74/0.97
% 0.74/0.97 cnf(cls_parts_OSnd_0,axiom,
% 0.74/0.97 ( c_in(V_Y,c_Message_Oparts(V_H),tc_Message_Omsg)
% 0.74/0.97 | ~ c_in(c_Message_Omsg_OMPair(V_X,V_Y),c_Message_Oparts(V_H),tc_Message_Omsg) ) ).
% 0.74/0.97
% 0.74/0.97 cnf(cls_parts_OFst_0,axiom,
% 0.74/0.97 ( c_in(V_X,c_Message_Oparts(V_H),tc_Message_Omsg)
% 0.74/0.97 | ~ c_in(c_Message_Omsg_OMPair(V_X,V_Y),c_Message_Oparts(V_H),tc_Message_Omsg) ) ).
% 0.74/0.97
% 0.74/0.97 cnf(cls_MPair__used_1,axiom,
% 0.74/0.97 ( c_in(V_Y,c_Event_Oused(V_H),tc_Message_Omsg)
% 0.74/0.97 | ~ c_in(c_Message_Omsg_OMPair(V_X,V_Y),c_Event_Oused(V_H),tc_Message_Omsg) ) ).
% 0.74/0.97
% 0.74/0.97 cnf(cls_MPair__used_0,axiom,
% 0.74/0.97 ( c_in(V_X,c_Event_Oused(V_H),tc_Message_Omsg)
% 0.74/0.97 | ~ c_in(c_Message_Omsg_OMPair(V_X,V_Y),c_Event_Oused(V_H),tc_Message_Omsg) ) ).
% 0.74/0.97
% 0.74/0.97 cnf(cls_msg_Osimps_I37_J_0,axiom,
% 0.74/0.97 c_Message_Omsg_OCrypt(V_nat_H,V_msg_H) != c_Message_Omsg_ONonce(V_nat) ).
% 0.74/0.97
% 0.74/0.97 cnf(cls_msg_Osimps_I12_J_0,axiom,
% 0.74/0.97 c_Message_Omsg_OAgent(V_agent) != hAPP(c_Message_Omsg_OKey,V_nat_H) ).
% 0.74/0.97
% 0.74/0.97 cnf(cls_msg_Osimps_I31_J_0,axiom,
% 0.74/0.97 hAPP(c_Message_Omsg_OKey,V_nat_H) != c_Message_Omsg_ONonce(V_nat) ).
% 0.74/0.97
% 0.74/0.97 cnf(cls_analz__Decrypt_H_0,axiom,
% 0.74/0.97 ( c_in(V_X,c_Message_Oanalz(V_H),tc_Message_Omsg)
% 0.74/0.97 | ~ c_in(hAPP(c_Message_Omsg_OKey,V_K),c_Message_Oanalz(V_H),tc_Message_Omsg)
% 0.74/0.97 | ~ c_in(V_K,c_Message_OsymKeys,tc_nat)
% 0.74/0.97 | ~ c_in(c_Message_Omsg_OCrypt(V_K,V_X),c_Message_Oanalz(V_H),tc_Message_Omsg) ) ).
% 0.74/0.97
% 0.74/0.97 cnf(cls_event_Osimps_I1_J_0,axiom,
% 0.74/0.97 ( c_Event_Oevent_OSays(V_agent1,V_agent2,V_msg) != c_Event_Oevent_OSays(V_agent1_H,V_agent2_H,V_msg_H)
% 0.74/0.97 | V_agent1 = V_agent1_H ) ).
% 0.74/0.97
% 0.74/0.97 cnf(cls_event_Osimps_I1_J_1,axiom,
% 0.74/0.97 ( c_Event_Oevent_OSays(V_agent1,V_agent2,V_msg) != c_Event_Oevent_OSays(V_agent1_H,V_agent2_H,V_msg_H)
% 0.74/0.97 | V_agent2 = V_agent2_H ) ).
% 0.74/0.97
% 0.74/0.97 cnf(cls_event_Osimps_I1_J_2,axiom,
% 0.74/0.97 ( c_Event_Oevent_OSays(V_agent1,V_agent2,V_msg) != c_Event_Oevent_OSays(V_agent1_H,V_agent2_H,V_msg_H)
% 0.74/0.97 | V_msg = V_msg_H ) ).
% 0.74/0.97
% 0.74/0.97 cnf(cls_parts_OInj_0,axiom,
% 0.74/0.97 ( c_in(V_X,c_Message_Oparts(V_H),tc_Message_Omsg)
% 0.74/0.97 | ~ c_in(V_X,V_H,tc_Message_Omsg) ) ).
% 0.74/0.97
% 0.74/0.97 cnf(cls_analz_OInj_0,axiom,
% 0.74/0.97 ( c_in(V_X,c_Message_Oanalz(V_H),tc_Message_Omsg)
% 0.74/0.97 | ~ c_in(V_X,V_H,tc_Message_Omsg) ) ).
% 0.74/0.97
% 0.74/0.97 cnf(cls_Says__imp__parts__knows__Spy_0,axiom,
% 0.74/0.97 ( c_in(V_X,c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,V_evs)),tc_Message_Omsg)
% 0.74/0.97 | ~ c_in(c_Event_Oevent_OSays(V_A,V_B,V_X),c_List_Oset(V_evs,tc_Event_Oevent),tc_Event_Oevent) ) ).
% 0.74/0.97
% 0.74/0.97 cnf(cls_Says__imp__spies_0,axiom,
% 0.74/0.97 ( c_in(V_X,c_Event_Oknows(c_Message_Oagent_OSpy,V_evs),tc_Message_Omsg)
% 0.74/0.97 | ~ c_in(c_Event_Oevent_OSays(V_A,V_B,V_X),c_List_Oset(V_evs,tc_Event_Oevent),tc_Event_Oevent) ) ).
% 0.74/0.97
% 0.74/0.97 cnf(cls_Spy__in__bad_0,axiom,
% 0.74/0.97 c_in(c_Message_Oagent_OSpy,c_Event_Obad,tc_Message_Oagent) ).
% 0.74/0.97
% 0.74/0.97 cnf(cls_usedI_0,axiom,
% 0.74/0.97 ( c_in(V_c,c_Event_Oused(V_evs),tc_Message_Omsg)
% 0.74/0.97 | ~ c_in(V_c,c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,V_evs)),tc_Message_Omsg) ) ).
% 0.74/0.97
% 0.74/0.97 cnf(cls_NS3__msg__in__parts__spies_0,axiom,
% 0.74/0.97 ( c_in(V_X,c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,V_evs)),tc_Message_Omsg)
% 0.74/0.97 | ~ 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) ) ).
% 0.74/0.97
% 0.74/0.97 cnf(cls_msg_Osimps_I43_J_0,axiom,
% 0.74/0.97 c_Message_Omsg_OCrypt(V_nat_H,V_msg_H) != hAPP(c_Message_Omsg_OKey,V_nat) ).
% 0.74/0.97
% 0.74/0.97 cnf(cls_parts__idem_0,axiom,
% 0.74/0.97 c_Message_Oparts(c_Message_Oparts(V_H)) = c_Message_Oparts(V_H) ).
% 0.74/0.97
% 0.74/0.97 cnf(cls_msg_Osimps_I30_J_0,axiom,
% 0.74/0.97 c_Message_Omsg_ONonce(V_nat) != hAPP(c_Message_Omsg_OKey,V_nat_H) ).
% 0.74/0.97
% 0.74/0.97 cnf(cls_analz__parts_0,axiom,
% 0.74/0.97 c_Message_Oanalz(c_Message_Oparts(V_H)) = c_Message_Oparts(V_H) ).
% 0.74/0.97
% 0.74/0.97 cnf(cls_msg_Osimps_I17_J_0,axiom,
% 0.74/0.97 c_Message_Omsg_OMPair(V_msg1_H,V_msg2_H) != c_Message_Omsg_OAgent(V_agent) ).
% 0.74/0.97
% 0.74/0.97 cnf(cls_A__trusts__NS4__lemma_0,axiom,
% 0.74/0.97 ( 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)
% 0.74/0.97 | ~ 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)
% 0.74/0.97 | ~ 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)
% 0.74/0.97 | c_in(hAPP(c_Message_Omsg_OKey,V_K),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,V_evs)),tc_Message_Omsg)
% 0.74/0.97 | ~ c_in(V_evs,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent)) ) ).
% 0.74/0.97
% 0.74/0.97 cnf(cls_Says__Server__message__form_2,axiom,
% 0.74/0.97 ( V_K_H = hAPP(c_Public_OshrK,V_A)
% 0.74/0.97 | ~ c_in(V_evs,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))
% 0.74/0.97 | ~ 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) ) ).
% 0.74/0.97
% 0.74/0.97 cnf(cls_msg_Osimps_I11_J_0,axiom,
% 0.74/0.97 c_Message_Omsg_ONonce(V_nat_H) != c_Message_Omsg_OAgent(V_agent) ).
% 0.74/0.97
% 0.74/0.97 cnf(cls_parts_OBody_0,axiom,
% 0.74/0.97 ( c_in(V_X,c_Message_Oparts(V_H),tc_Message_Omsg)
% 0.74/0.97 | ~ c_in(c_Message_Omsg_OCrypt(V_K,V_X),c_Message_Oparts(V_H),tc_Message_Omsg) ) ).
% 0.74/0.97
% 0.74/0.97 cnf(cls_analz__shrK__Decrypt_0,axiom,
% 0.74/0.97 ( c_in(V_X,c_Message_Oanalz(V_H),tc_Message_Omsg)
% 0.74/0.97 | ~ c_in(hAPP(c_Message_Omsg_OKey,hAPP(c_Public_OshrK,V_A)),c_Message_Oanalz(V_H),tc_Message_Omsg)
% 0.74/0.97 | ~ c_in(c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,V_A),V_X),c_Message_Oanalz(V_H),tc_Message_Omsg) ) ).
% 0.74/0.97
% 0.74/0.97 cnf(cls_Spy__see__shrK_1,axiom,
% 0.74/0.97 ( 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)
% 0.74/0.97 | ~ c_in(V_A,c_Event_Obad,tc_Message_Oagent)
% 0.74/0.97 | ~ c_in(V_evs,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent)) ) ).
% 0.74/0.97
% 0.74/0.97 cnf(cls_Spy__see__shrK_0,axiom,
% 0.74/0.97 ( c_in(V_A,c_Event_Obad,tc_Message_Oagent)
% 0.74/0.97 | ~ 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)
% 0.74/0.97 | ~ c_in(V_evs,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent)) ) ).
% 0.74/0.97
% 0.74/0.97 cnf(cls_agent_Osimps_I4_J_0,axiom,
% 0.74/0.97 c_Message_Oagent_OServer != c_Message_Oagent_OSpy ).
% 0.74/0.97
% 0.74/0.97 cnf(cls_Says__imp__analz__Spy_0,axiom,
% 0.74/0.97 ( c_in(V_X,c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,V_evs)),tc_Message_Omsg)
% 0.74/0.97 | ~ c_in(c_Event_Oevent_OSays(V_A,V_B,V_X),c_List_Oset(V_evs,tc_Event_Oevent),tc_Event_Oevent) ) ).
% 0.74/0.97
% 0.74/0.97 cnf(cls_parts__partsD_0,axiom,
% 0.74/0.97 ( c_in(V_X,c_Message_Oparts(V_H),tc_Message_Omsg)
% 0.74/0.97 | ~ c_in(V_X,c_Message_Oparts(c_Message_Oparts(V_H)),tc_Message_Omsg) ) ).
% 0.74/0.97
% 0.74/0.97 cnf(cls_unique__session__keys_0,axiom,
% 0.74/0.97 ( V_A = V_A_H
% 0.74/0.97 | ~ c_in(V_evs,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))
% 0.74/0.97 | ~ 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)
% 0.74/0.97 | ~ 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) ) ).
% 0.74/0.97
% 0.74/0.97 cnf(cls_unique__session__keys_1,axiom,
% 0.74/0.97 ( V_NA = V_NA_H
% 0.74/0.97 | ~ c_in(V_evs,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))
% 0.74/0.97 | ~ 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)
% 0.74/0.97 | ~ 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) ) ).
% 0.74/0.97
% 0.74/0.97 cnf(cls_unique__session__keys_2,axiom,
% 0.74/0.97 ( V_B = V_B_H
% 0.74/0.97 | ~ c_in(V_evs,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))
% 0.74/0.97 | ~ 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)
% 0.74/0.97 | ~ 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) ) ).
% 0.74/0.97
% 0.74/0.97 cnf(cls_unique__session__keys_3,axiom,
% 0.74/0.97 ( V_X = V_X_H
% 0.74/0.97 | ~ c_in(V_evs,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))
% 0.74/0.97 | ~ 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)
% 0.74/0.97 | ~ 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) ) ).
% 0.74/0.97
% 0.74/0.97 cnf(cls_cert__A__form_1,axiom,
% 0.74/0.97 ( V_X = c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,V_B),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,V_K),c_Message_Omsg_OAgent(V_A)))
% 0.74/0.97 | ~ c_in(V_evs,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))
% 0.74/0.97 | c_in(V_A,c_Event_Obad,tc_Message_Oagent)
% 0.74/0.97 | ~ 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) ) ).
% 0.74/0.97
% 0.74/0.97 cnf(cls_msg_Osimps_I4_J_0,axiom,
% 0.74/0.97 ( hAPP(c_Message_Omsg_OKey,V_nat) != hAPP(c_Message_Omsg_OKey,V_nat_H)
% 0.74/0.97 | V_nat = V_nat_H ) ).
% 0.74/0.97
% 0.74/0.97 cnf(cls_msg_Osimps_I16_J_0,axiom,
% 0.74/0.97 c_Message_Omsg_OAgent(V_agent) != c_Message_Omsg_OMPair(V_msg1_H,V_msg2_H) ).
% 0.74/0.97
% 0.74/0.97 cnf(cls_Spy__spies__bad__shrK_0,axiom,
% 0.74/0.97 ( 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)
% 0.74/0.97 | ~ c_in(V_A,c_Event_Obad,tc_Message_Oagent) ) ).
% 0.74/0.97
% 0.74/0.97 cnf(cls_Oops__parts__spies_0,axiom,
% 0.74/0.97 ( c_in(V_K,c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,V_evs)),tc_Message_Omsg)
% 0.74/0.97 | ~ 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) ) ).
% 0.74/0.97
% 0.74/0.97 cnf(cls_Says__imp__used_0,axiom,
% 0.74/0.97 ( c_in(V_X,c_Event_Oused(V_evs),tc_Message_Omsg)
% 0.74/0.97 | ~ c_in(c_Event_Oevent_OSays(V_A,V_B,V_X),c_List_Oset(V_evs,tc_Event_Oevent),tc_Event_Oevent) ) ).
% 0.74/0.97
% 0.74/0.97 cnf(cls_msg_Osimps_I18_J_0,axiom,
% 0.74/0.97 c_Message_Omsg_OAgent(V_agent) != c_Message_Omsg_OCrypt(V_nat_H,V_msg_H) ).
% 0.74/0.97
% 0.74/0.97 cnf(cls_msg_Osimps_I34_J_0,axiom,
% 0.74/0.97 c_Message_Omsg_ONonce(V_nat) != c_Message_Omsg_OMPair(V_msg1_H,V_msg2_H) ).
% 0.74/0.97
% 0.74/0.97 cnf(cls_msg_Osimps_I48_J_0,axiom,
% 0.74/0.97 c_Message_Omsg_OMPair(V_msg1,V_msg2) != c_Message_Omsg_OCrypt(V_nat_H,V_msg_H) ).
% 0.74/0.97
% 0.74/0.97 cnf(cls_msg_Osimps_I19_J_0,axiom,
% 0.74/0.97 c_Message_Omsg_OCrypt(V_nat_H,V_msg_H) != c_Message_Omsg_OAgent(V_agent) ).
% 0.74/0.97
% 0.74/0.97 cnf(cls_shrK__in__knows_0,axiom,
% 0.74/0.97 c_in(hAPP(c_Message_Omsg_OKey,hAPP(c_Public_OshrK,V_A)),c_Event_Oknows(V_A,V_evs),tc_Message_Omsg) ).
% 0.74/0.97
% 0.74/0.97 cnf(cls_msg_Osimps_I13_J_0,axiom,
% 0.74/0.97 hAPP(c_Message_Omsg_OKey,V_nat_H) != c_Message_Omsg_OAgent(V_agent) ).
% 0.74/0.97
% 0.74/0.97 cnf(cls_Spy__analz__shrK_0,axiom,
% 0.74/0.97 ( c_in(V_A,c_Event_Obad,tc_Message_Oagent)
% 0.74/0.97 | ~ 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)
% 0.74/0.97 | ~ c_in(V_evs,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent)) ) ).
% 0.74/0.97
% 0.74/0.97 cnf(cls_Spy__analz__shrK_1,axiom,
% 0.74/0.97 ( 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)
% 0.74/0.97 | ~ c_in(V_A,c_Event_Obad,tc_Message_Oagent)
% 0.74/0.97 | ~ c_in(V_evs,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent)) ) ).
% 0.74/0.97
% 0.74/0.97 cnf(cls_analz__analzD_0,axiom,
% 0.74/0.97 ( c_in(V_X,c_Message_Oanalz(V_H),tc_Message_Omsg)
% 0.74/0.97 | ~ c_in(V_X,c_Message_Oanalz(c_Message_Oanalz(V_H)),tc_Message_Omsg) ) ).
% 0.74/0.97
% 0.74/0.97 cnf(cls_msg_Osimps_I3_J_0,axiom,
% 0.74/0.97 ( c_Message_Omsg_ONonce(V_nat) != c_Message_Omsg_ONonce(V_nat_H)
% 0.74/0.97 | V_nat = V_nat_H ) ).
% 0.74/0.97
% 0.74/0.97 cnf(cls_mem__def_1,axiom,
% 0.74/0.97 ( c_in(V_x,V_S,T_a)
% 0.74/0.97 | ~ hBOOL(hAPP(V_S,V_x)) ) ).
% 0.74/0.97
% 0.74/0.97 cnf(cls_mem__def_0,axiom,
% 0.74/0.97 ( hBOOL(hAPP(V_S,V_x))
% 0.74/0.97 | ~ c_in(V_x,V_S,T_a) ) ).
% 0.74/0.97
% 0.74/0.97 cnf(cls_msg_Osimps_I36_J_0,axiom,
% 0.74/0.97 c_Message_Omsg_ONonce(V_nat) != c_Message_Omsg_OCrypt(V_nat_H,V_msg_H) ).
% 0.74/0.97
% 0.74/0.97 cnf(cls_msg_Osimps_I7_J_0,axiom,
% 0.74/0.97 ( c_Message_Omsg_OCrypt(V_nat,V_msg) != c_Message_Omsg_OCrypt(V_nat_H,V_msg_H)
% 0.74/0.97 | V_nat = V_nat_H ) ).
% 0.74/0.97
% 0.74/0.97 cnf(cls_msg_Osimps_I7_J_1,axiom,
% 0.74/0.97 ( c_Message_Omsg_OCrypt(V_nat,V_msg) != c_Message_Omsg_OCrypt(V_nat_H,V_msg_H)
% 0.74/0.97 | V_msg = V_msg_H ) ).
% 0.74/0.97
% 0.74/0.97 cnf(cls_Says__S__message__form_1,axiom,
% 0.74/0.97 ( c_in(V_X,c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,V_evs)),tc_Message_Omsg)
% 0.74/0.97 | V_X = c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,V_B),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,V_K),c_Message_Omsg_OAgent(V_A)))
% 0.74/0.97 | ~ c_in(V_evs,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))
% 0.74/0.97 | ~ 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) ) ).
% 0.74/0.97
% 0.74/0.97 cnf(cls_A__trusts__NS2_0,axiom,
% 0.74/0.97 ( 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)
% 0.74/0.97 | ~ c_in(V_evs,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))
% 0.74/0.97 | c_in(V_A,c_Event_Obad,tc_Message_Oagent)
% 0.74/0.97 | ~ 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) ) ).
% 0.74/0.97
% 0.74/0.97 cnf(cls_msg_Osimps_I10_J_0,axiom,
% 0.74/0.97 c_Message_Omsg_OAgent(V_agent) != c_Message_Omsg_ONonce(V_nat_H) ).
% 0.74/0.97
% 0.74/0.97 cnf(cls_msg_Osimps_I6_J_0,axiom,
% 0.74/0.97 ( c_Message_Omsg_OMPair(V_msg1,V_msg2) != c_Message_Omsg_OMPair(V_msg1_H,V_msg2_H)
% 0.74/0.97 | V_msg1 = V_msg1_H ) ).
% 0.74/0.97
% 0.74/0.97 cnf(cls_msg_Osimps_I6_J_1,axiom,
% 0.74/0.97 ( c_Message_Omsg_OMPair(V_msg1,V_msg2) != c_Message_Omsg_OMPair(V_msg1_H,V_msg2_H)
% 0.74/0.97 | V_msg2 = V_msg2_H ) ).
% 0.74/0.97
% 0.74/0.97 cnf(cls_Crypt__Spy__analz__bad_0,axiom,
% 0.74/0.97 ( c_in(V_X,c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,V_evs)),tc_Message_Omsg)
% 0.74/0.97 | ~ c_in(V_A,c_Event_Obad,tc_Message_Oagent)
% 0.74/0.97 | ~ 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) ) ).
% 0.74/0.97
% 0.74/0.97 cnf(cls_agent_Osimps_I5_J_0,axiom,
% 0.74/0.97 c_Message_Oagent_OSpy != c_Message_Oagent_OServer ).
% 0.74/0.97
% 0.74/0.97 cnf(cls_msg_Osimps_I35_J_0,axiom,
% 0.74/0.97 c_Message_Omsg_OMPair(V_msg1_H,V_msg2_H) != c_Message_Omsg_ONonce(V_nat) ).
% 0.74/0.97
% 0.74/0.97 cnf(cls_msg_Osimps_I49_J_0,axiom,
% 0.74/0.97 c_Message_Omsg_OCrypt(V_nat_H,V_msg_H) != c_Message_Omsg_OMPair(V_msg1,V_msg2) ).
% 0.74/0.97
% 0.74/0.97 cnf(cls_Says__Server__message__form_1,axiom,
% 0.74/0.97 ( V_X = c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,V_B),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,V_K),c_Message_Omsg_OAgent(V_A)))
% 0.74/0.97 | ~ c_in(V_evs,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))
% 0.74/0.97 | ~ 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) ) ).
% 0.74/0.97
% 0.74/0.97 cnf(cls_msg_Osimps_I40_J_0,axiom,
% 0.74/0.97 hAPP(c_Message_Omsg_OKey,V_nat) != c_Message_Omsg_OMPair(V_msg1_H,V_msg2_H) ).
% 0.74/0.97
% 0.74/0.97 cnf(cls_shrK__in__used_0,axiom,
% 0.74/0.97 c_in(hAPP(c_Message_Omsg_OKey,hAPP(c_Public_OshrK,V_A)),c_Event_Oused(V_evs),tc_Message_Omsg) ).
% 0.74/0.97
% 0.74/0.97 cnf(cls_neq__shrK_0,axiom,
% 0.74/0.97 c_in(hAPP(c_Message_Omsg_OKey,hAPP(c_Public_OshrK,V_B)),c_Event_Oused(V_evs),tc_Message_Omsg) ).
% 0.74/0.97
% 0.74/0.97 cnf(cls_B__trusts__NS5__lemma_0,axiom,
% 0.74/0.97 ( 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)
% 0.74/0.97 | ~ 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)
% 0.74/0.97 | ~ 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)
% 0.74/0.97 | c_in(hAPP(c_Message_Omsg_OKey,V_K),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,V_evs)),tc_Message_Omsg)
% 0.74/0.97 | ~ c_in(V_evs,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))
% 0.74/0.97 | c_in(V_B,c_Event_Obad,tc_Message_Oagent) ) ).
% 0.74/0.97
% 0.74/0.97 cnf(cls_Server__not__bad_0,axiom,
% 0.74/0.97 ~ c_in(c_Message_Oagent_OServer,c_Event_Obad,tc_Message_Oagent) ).
% 0.74/0.97
% 0.74/0.97 cnf(cls_msg_Osimps_I41_J_0,axiom,
% 0.74/0.97 c_Message_Omsg_OMPair(V_msg1_H,V_msg2_H) != hAPP(c_Message_Omsg_OKey,V_nat) ).
% 0.74/0.97
% 0.74/0.97 cnf(cls_msg_Osimps_I42_J_0,axiom,
% 0.74/0.97 hAPP(c_Message_Omsg_OKey,V_nat) != c_Message_Omsg_OCrypt(V_nat_H,V_msg_H) ).
% 0.74/0.97
% 0.74/0.97 cnf(cls_shrK__injective_0,axiom,
% 0.74/0.97 ( hAPP(c_Public_OshrK,V_x) != hAPP(c_Public_OshrK,V_y)
% 0.74/0.97 | V_x = V_y ) ).
% 0.74/0.97
% 0.74/0.97 cnf(cls_not__parts__not__analz_0,axiom,
% 0.74/0.97 ( ~ c_in(V_c,c_Message_Oanalz(V_H),tc_Message_Omsg)
% 0.74/0.97 | c_in(V_c,c_Message_Oparts(V_H),tc_Message_Omsg) ) ).
% 0.74/0.97
% 0.74/0.97 cnf(cls_analz__into__parts_0,axiom,
% 0.74/0.97 ( c_in(V_c,c_Message_Oparts(V_H),tc_Message_Omsg)
% 0.74/0.97 | ~ c_in(V_c,c_Message_Oanalz(V_H),tc_Message_Omsg) ) ).
% 0.74/0.97
% 0.74/0.97 cnf(cls_analz__conj__parts_0,axiom,
% 0.74/0.97 ( c_in(V_X,c_Message_Oparts(V_H),tc_Message_Omsg)
% 0.74/0.97 | ~ c_in(V_X,c_Message_Oanalz(V_H),tc_Message_Omsg) ) ).
% 0.74/0.97
% 0.74/0.97 cnf(cls_conjecture_0,negated_conjecture,
% 0.74/0.97 ~ c_in(v_A,c_Event_Obad,tc_Message_Oagent) ).
% 0.74/0.97
% 0.74/0.97 cnf(cls_conjecture_1,negated_conjecture,
% 0.74/0.97 ~ c_in(v_B,c_Event_Obad,tc_Message_Oagent) ).
% 0.74/0.97
% 0.74/0.97 cnf(cls_conjecture_2,negated_conjecture,
% 0.74/0.97 c_in(v_evs2,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent)) ).
% 0.74/0.97
% 0.74/0.97 cnf(cls_conjecture_3,negated_conjecture,
% 0.74/0.97 ~ c_in(hAPP(c_Message_Omsg_OKey,v_KAB),c_Event_Oused(v_evs2),tc_Message_Omsg) ).
% 0.74/0.97
% 0.74/0.97 cnf(cls_conjecture_4,negated_conjecture,
% 0.74/0.97 c_in(v_KAB,c_Message_OsymKeys,tc_nat) ).
% 0.74/0.97
% 0.74/0.97 cnf(cls_conjecture_5,negated_conjecture,
% 0.74/0.97 c_in(c_Event_Oevent_OSays(v_A_H,c_Message_Oagent_OServer,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Ba),c_Message_Omsg_ONonce(v_NAa)))),c_List_Oset(v_evs2,tc_Event_Oevent),tc_Event_Oevent) ).
% 0.74/0.97
% 0.74/0.97 cnf(cls_conjecture_6,negated_conjecture,
% 0.74/0.97 ~ c_in(hAPP(c_Message_Omsg_OKey,v_K),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs2)),tc_Message_Omsg) ).
% 0.74/0.97
% 0.74/0.97 cnf(cls_conjecture_7,negated_conjecture,
% 0.74/0.97 v_A = v_Aa ).
% 0.74/0.97
% 0.74/0.97 cnf(cls_conjecture_8,negated_conjecture,
% 0.74/0.97 v_NA = v_NAa ).
% 0.74/0.97
% 0.74/0.97 cnf(cls_conjecture_9,negated_conjecture,
% 0.74/0.97 v_B = v_Ba ).
% 0.74/0.97
% 0.74/0.97 cnf(cls_conjecture_10,negated_conjecture,
% 0.74/0.97 v_K = v_KAB ).
% 0.74/0.97
% 0.74/0.97 cnf(cls_conjecture_11,negated_conjecture,
% 0.74/0.97 v_X = c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,v_Ba),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,v_KAB),c_Message_Omsg_OAgent(v_Aa))) ).
% 0.74/0.97
% 0.74/0.97 cnf(cls_conjecture_12,negated_conjecture,
% 0.74/0.97 c_in(c_Message_Omsg_OCrypt(v_KAB,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_evs2)),tc_Message_Omsg) ).
% 0.74/0.97
% 0.74/0.97 cnf(cls_conjecture_13,negated_conjecture,
% 0.74/0.97 ~ c_in(c_Event_Oevent_OSays(v_Aa,v_Ba,c_Message_Omsg_OCrypt(v_KAB,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),c_Message_Omsg_ONonce(v_NB)))),c_List_Oset(v_evs2,tc_Event_Oevent),tc_Event_Oevent) ).
% 0.74/0.97
% 0.74/0.97 cnf(cls_conjecture_14,negated_conjecture,
% 0.74/0.97 ( 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_evs2,tc_Event_Oevent),tc_Event_Oevent)
% 0.74/0.97 | ~ 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_evs2)),tc_Message_Omsg)
% 0.74/0.97 | ~ c_in(c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,v_A),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NA),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_B),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,v_K),v_X)))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs2)),tc_Message_Omsg) ) ).
% 0.74/0.97
% 0.74/0.97 cnf(clsarity_fun__Lattices_Oupper__semilattice,axiom,
% 0.74/0.97 ( class_Lattices_Oupper__semilattice(tc_fun(T_2,T_1))
% 0.74/0.97 | ~ class_Lattices_Olattice(T_1) ) ).
% 0.74/0.97
% 0.74/0.97 cnf(clsarity_fun__Lattices_Obounded__lattice,axiom,
% 0.74/0.97 ( class_Lattices_Obounded__lattice(tc_fun(T_2,T_1))
% 0.74/0.97 | ~ class_Lattices_Obounded__lattice(T_1) ) ).
% 0.74/0.97
% 0.74/0.97 cnf(clsarity_fun__Lattices_Oboolean__algebra,axiom,
% 0.74/0.97 ( class_Lattices_Oboolean__algebra(tc_fun(T_2,T_1))
% 0.74/0.97 | ~ class_Lattices_Oboolean__algebra(T_1) ) ).
% 0.74/0.97
% 0.74/0.97 cnf(clsarity_fun__Orderings_Opreorder,axiom,
% 0.74/0.97 ( class_Orderings_Opreorder(tc_fun(T_2,T_1))
% 0.74/0.97 | ~ class_Orderings_Opreorder(T_1) ) ).
% 0.74/0.97
% 0.74/0.97 cnf(clsarity_fun__Lattices_Olattice,axiom,
% 0.74/0.97 ( class_Lattices_Olattice(tc_fun(T_2,T_1))
% 0.74/0.97 | ~ class_Lattices_Olattice(T_1) ) ).
% 0.74/0.97
% 0.74/0.97 cnf(clsarity_fun__Orderings_Oorder,axiom,
% 0.74/0.97 ( class_Orderings_Oorder(tc_fun(T_2,T_1))
% 0.74/0.97 | ~ class_Orderings_Oorder(T_1) ) ).
% 0.74/0.97
% 0.74/0.97 cnf(clsarity_fun__Orderings_Otop,axiom,
% 0.74/0.97 ( class_Orderings_Otop(tc_fun(T_2,T_1))
% 0.74/0.97 | ~ class_Orderings_Otop(T_1) ) ).
% 0.74/0.97
% 0.74/0.97 cnf(clsarity_fun__HOL_Oord,axiom,
% 0.74/0.97 ( class_HOL_Oord(tc_fun(T_2,T_1))
% 0.74/0.97 | ~ class_HOL_Oord(T_1) ) ).
% 0.74/0.97
% 0.74/0.97 cnf(clsarity_nat__Lattices_Oupper__semilattice,axiom,
% 0.74/0.97 class_Lattices_Oupper__semilattice(tc_nat) ).
% 0.74/0.97
% 0.74/0.97 cnf(clsarity_nat__Orderings_Opreorder,axiom,
% 0.74/0.97 class_Orderings_Opreorder(tc_nat) ).
% 0.74/0.97
% 0.74/0.97 cnf(clsarity_nat__Orderings_Olinorder,axiom,
% 0.74/0.97 class_Orderings_Olinorder(tc_nat) ).
% 0.74/0.97
% 0.74/0.97 cnf(clsarity_nat__Lattices_Olattice,axiom,
% 0.74/0.97 class_Lattices_Olattice(tc_nat) ).
% 0.74/0.97
% 0.74/0.97 cnf(clsarity_nat__Orderings_Oorder,axiom,
% 0.74/0.97 class_Orderings_Oorder(tc_nat) ).
% 0.74/0.97
% 0.74/0.97 cnf(clsarity_nat__HOL_Oord,axiom,
% 0.74/0.97 class_HOL_Oord(tc_nat) ).
% 0.74/0.97
% 0.74/0.97 cnf(clsarity_bool__Lattices_Oupper__semilattice,axiom,
% 0.74/0.97 class_Lattices_Oupper__semilattice(tc_bool) ).
% 0.74/0.97
% 0.74/0.97 cnf(clsarity_bool__Lattices_Obounded__lattice,axiom,
% 0.74/0.97 class_Lattices_Obounded__lattice(tc_bool) ).
% 0.74/0.97
% 0.74/0.97 cnf(clsarity_bool__Lattices_Oboolean__algebra,axiom,
% 0.74/0.97 class_Lattices_Oboolean__algebra(tc_bool) ).
% 0.74/0.97
% 0.74/0.97 cnf(clsarity_bool__Orderings_Opreorder,axiom,
% 0.74/0.97 class_Orderings_Opreorder(tc_bool) ).
% 0.74/0.97
% 0.74/0.97 cnf(clsarity_bool__Lattices_Olattice,axiom,
% 0.74/0.97 class_Lattices_Olattice(tc_bool) ).
% 0.74/0.97
% 0.74/0.97 cnf(clsarity_bool__Orderings_Oorder,axiom,
% 0.74/0.97 class_Orderings_Oorder(tc_bool) ).
% 0.74/0.97
% 0.74/0.97 cnf(clsarity_bool__Orderings_Otop,axiom,
% 0.74/0.97 class_Orderings_Otop(tc_bool) ).
% 0.74/0.97
% 0.74/0.97 cnf(clsarity_bool__HOL_Oord,axiom,
% 0.74/0.97 class_HOL_Oord(tc_bool) ).
% 0.74/0.97
% 0.74/0.97 cnf(cls_ATP__Linkup_Oequal__imp__fequal_0,axiom,
% 0.74/0.97 c_fequal(V_x,V_x,T_a) ).
% 0.74/0.97
% 0.74/0.97 cnf(cls_ATP__Linkup_Ofequal__imp__equal_0,axiom,
% 0.74/0.97 ( V_X = V_Y
% 0.74/0.97 | ~ c_fequal(V_X,V_Y,T_a) ) ).
% 0.74/0.97
% 0.74/0.97 %------------------------------------------------------------------------------
% 0.74/0.97 %-------------------------------------------
% 0.74/0.97 % Proof found
% 0.74/0.97 % SZS status Theorem for theBenchmark
% 0.74/0.97 % SZS output start Proof
% 0.74/0.97 %ClaNum:701(EqnAxiom:125)
% 0.74/0.97 %VarNum:3022(SingletonVarNum:1449)
% 0.74/0.97 %MaxLitNum:7
% 0.74/0.97 %MaxfuncDepth:9
% 0.74/0.97 %SharedTerms:98
% 0.74/0.97 %goalClause: 126 127 128 129 157 160 184 217 245 315 316 331 335 339 662
% 0.74/0.97 %singleGoalClaCount:14
% 0.74/0.97 [126]E(a1,a2)
% 0.74/0.97 [127]E(a50,a51)
% 0.74/0.97 [128]E(a52,a53)
% 0.74/0.97 [129]E(a54,a55)
% 0.74/0.97 [130]P1(a3)
% 0.74/0.97 [131]P2(a3)
% 0.74/0.97 [132]P2(a47)
% 0.74/0.97 [133]P14(a3)
% 0.74/0.97 [134]P14(a47)
% 0.74/0.97 [135]P18(a3)
% 0.74/0.97 [136]P18(a47)
% 0.74/0.97 [137]P3(a3)
% 0.74/0.97 [138]P12(a3)
% 0.74/0.97 [139]P13(a3)
% 0.74/0.97 [140]P13(a47)
% 0.74/0.97 [141]P15(a47)
% 0.74/0.97 [142]P4(a3)
% 0.74/0.97 [143]P4(a47)
% 0.74/0.97 [156]P9(a24,a6,a44)
% 0.74/0.97 [157]P9(a52,a35,a47)
% 0.74/0.97 [289]~E(a26,a24)
% 0.74/0.97 [314]~P9(a26,a6,a44)
% 0.74/0.97 [315]~P9(a2,a6,a44)
% 0.74/0.97 [316]~P9(a50,a6,a44)
% 0.74/0.97 [144]P5(f5(a4))
% 0.74/0.97 [160]P9(a56,a37,f45(a4))
% 0.74/0.97 [161]P9(f5(a4),a37,f45(a4))
% 0.74/0.97 [331]~P9(f40(a30,a52),f10(a56),a46)
% 0.74/0.97 [335]~P9(f40(a30,a53),f20(f11(a24,a56)),a46)
% 0.74/0.97 [184]E(f31(f40(a36,a51),f32(f40(a30,a52),f28(a1))),a57)
% 0.74/0.97 [217]P9(f31(a52,f32(f33(a58),f33(a58))),f27(f11(a24,a56)),a46)
% 0.74/0.97 [245]P9(f14(a49,a26,f32(f28(a1),f32(f28(a51),f33(a54)))),f25(a56,a4),a4)
% 0.74/0.97 [339]~P9(f14(a1,a51,f31(a52,f32(f33(a58),f33(a58)))),f25(a56,a4),a4)
% 0.74/0.97 [151]P6(f5(x1511),x1511)
% 0.74/0.97 [172]P9(f40(a36,x1721),a35,a47)
% 0.74/0.97 [176]P11(x1761,f27(x1761),f48(a46,a3))
% 0.74/0.97 [177]P11(x1771,f34(x1771),f48(a46,a3))
% 0.74/0.97 [178]P11(x1781,f20(x1781),f48(a46,a3))
% 0.74/0.97 [179]P11(f20(x1791),f27(x1791),f48(a46,a3))
% 0.74/0.97 [145]E(f19(f19(x1451)),x1451)
% 0.74/0.97 [146]E(f27(f27(x1461)),f27(x1461))
% 0.74/0.97 [147]E(f27(f20(x1471)),f27(x1471))
% 0.74/0.97 [148]E(f34(f34(x1481)),f34(x1481))
% 0.74/0.97 [149]E(f20(f27(x1491)),f27(x1491))
% 0.74/0.97 [150]E(f20(f20(x1501)),f20(x1501))
% 0.74/0.97 [153]E(f21(f5(x1531),x1531),f5(x1531))
% 0.74/0.97 [154]E(f19(f40(a36,x1541)),f40(a36,x1541))
% 0.74/0.97 [181]P11(f10(f5(a4)),f10(x1811),f48(a46,a3))
% 0.74/0.97 [182]E(f9(f27(x1821),f34(x1821),f48(a46,a3)),f27(f34(x1821)))
% 0.74/0.97 [183]E(f9(f20(x1831),f34(x1831),f48(a46,a3)),f20(f34(x1831)))
% 0.74/0.97 [192]P11(f27(f11(a24,x1921)),f10(x1921),f48(a46,a3))
% 0.74/0.97 [276]E(f27(f42(a30,x2761,a47,a46)),f42(a30,x2761,a47,a46))
% 0.74/0.97 [277]E(f20(f42(a30,x2771,a47,a46)),f42(a30,x2771,a47,a46))
% 0.74/0.97 [330]~P9(f33(x3301),f10(f5(a4)),a46)
% 0.74/0.97 [332]~P9(f33(f43(x3321)),f10(x3321),a46)
% 0.74/0.97 [159]P10(x1591,x1591,x1592)
% 0.74/0.97 [155]P6(f21(x1551,x1552),x1552)
% 0.74/0.97 [169]P9(f28(x1691),f34(x1692),a46)
% 0.74/0.97 [174]P11(x1741,x1741,f48(x1742,a3))
% 0.74/0.97 [180]P9(f5(x1801),f23(x1802,x1801),f45(x1801))
% 0.74/0.97 [291]~E(f33(x2911),f28(x2912))
% 0.74/0.97 [292]~E(f28(x2921),f40(a30,x2922))
% 0.74/0.97 [293]~E(f33(x2931),f40(a30,x2932))
% 0.74/0.97 [294]~E(f40(a30,x2941),f28(x2942))
% 0.74/0.97 [295]~E(f40(a30,x2951),f33(x2952))
% 0.74/0.97 [340]~P9(f33(x3401),f42(a30,x3402,a47,a46),a46)
% 0.74/0.97 [158]E(f25(f21(x1581,x1582),x1582),f25(x1581,x1582))
% 0.74/0.97 [165]E(f8(x1651,f5(x1652),x1652),x1651)
% 0.74/0.97 [166]E(f8(f5(x1661),x1662,x1661),x1662)
% 0.74/0.97 [167]E(f22(f5(x1671),x1672,x1671),f5(x1671))
% 0.74/0.97 [175]E(f9(x1751,x1751,f48(x1752,a3)),x1751)
% 0.74/0.97 [185]P9(x1851,f38(f48(x1852,a3)),x1852)
% 0.74/0.97 [186]E(f16(f16(x1861,f48(x1862,a3)),f48(x1862,a3)),x1861)
% 0.74/0.97 [190]P9(f40(a30,f40(a36,x1901)),f10(x1902),a46)
% 0.74/0.97 [191]P11(x1911,f38(f48(x1912,a3)),f48(x1912,a3))
% 0.74/0.97 [193]P11(f11(x1931,f5(a4)),f11(x1931,x1932),f48(a46,a3))
% 0.74/0.97 [195]P9(f40(a30,f40(a36,x1951)),f11(x1951,x1952),a46)
% 0.74/0.97 [198]E(f9(x1981,f38(f48(x1982,a3)),f48(x1982,a3)),f38(f48(x1982,a3)))
% 0.74/0.97 [199]E(f9(f38(f48(x1991,a3)),x1992,f48(x1991,a3)),f38(f48(x1991,a3)))
% 0.74/0.97 [208]E(f9(x2081,f16(x2081,f48(x2082,a3)),f48(x2082,a3)),f38(f48(x2082,a3)))
% 0.74/0.97 [209]E(f9(f16(x2091,f48(x2092,a3)),x2091,f48(x2092,a3)),f38(f48(x2092,a3)))
% 0.74/0.97 [250]P11(f41(x2501,f27(x2502),a46),f27(f41(x2501,x2502,a46)),f48(a46,a3))
% 0.74/0.97 [251]P11(f41(x2511,f34(x2512),a46),f34(f41(x2511,x2512,a46)),f48(a46,a3))
% 0.74/0.97 [252]P11(f41(x2521,f20(x2522),a46),f20(f41(x2521,x2522,a46)),f48(a46,a3))
% 0.74/0.97 [333]~P9(f40(f39(x3331),x3332),a35,a47)
% 0.74/0.97 [334]~P9(f31(x3341,x3342),f10(f5(a4)),a46)
% 0.74/0.97 [187]E(f29(f41(f28(x1871),x1872,a46)),f29(x1872))
% 0.74/0.97 [188]E(f29(f41(f33(x1881),x1882,a46)),f29(x1882))
% 0.74/0.97 [194]P19(f40(f38(f48(x1941,a3)),x1942))
% 0.74/0.97 [200]E(f29(f41(f40(a30,x2001),x2002,a46)),f29(x2002))
% 0.74/0.97 [213]E(f27(f41(f28(x2131),x2132,a46)),f41(f28(x2131),f27(x2132),a46))
% 0.74/0.97 [214]E(f27(f41(f33(x2141),x2142,a46)),f41(f33(x2141),f27(x2142),a46))
% 0.74/0.97 [215]E(f20(f41(f28(x2151),x2152,a46)),f41(f28(x2151),f20(x2152),a46))
% 0.74/0.97 [216]E(f20(f41(f33(x2161),x2162,a46)),f41(f33(x2161),f20(x2162),a46))
% 0.74/0.97 [225]E(f27(f41(f40(a30,x2251),x2252,a46)),f41(f40(a30,x2251),f27(x2252),a46))
% 0.74/0.97 [226]E(f9(f27(x2261),f27(x2262),f48(a46,a3)),f27(f9(x2261,x2262,f48(a46,a3))))
% 0.74/0.97 [233]E(f20(f9(f20(x2331),x2332,f48(a46,a3))),f20(f9(x2331,x2332,f48(a46,a3))))
% 0.74/0.97 [269]E(f9(f20(f9(x2691,x2692,f48(a46,a3))),f34(x2691),f48(a46,a3)),f20(f9(f34(x2691),x2692,f48(a46,a3))))
% 0.74/0.97 [270]P11(f27(f9(x2701,x2702,f48(a46,a3))),f9(f27(x2701),f27(x2702),f48(a46,a3)),f48(a46,a3))
% 0.74/0.97 [271]P11(f9(f27(x2711),f27(x2712),f48(a46,a3)),f27(f9(x2711,x2712,f48(a46,a3))),f48(a46,a3))
% 0.74/0.97 [272]P11(f9(f34(x2721),f34(x2722),f48(a46,a3)),f34(f9(x2721,x2722,f48(a46,a3))),f48(a46,a3))
% 0.74/0.97 [273]P11(f9(f20(x2731),f20(x2732),f48(a46,a3)),f20(f9(x2731,x2732,f48(a46,a3))),f48(a46,a3))
% 0.74/0.97 [336]~P9(f33(x3361),f27(f11(x3362,f5(a4))),a46)
% 0.74/0.97 [337]~P9(f19(f40(f39(x3371),x3372)),a35,a47)
% 0.74/0.97 [231]P9(f40(a30,f19(f40(f39(x2311),x2312))),f11(x2312,f5(a4)),a46)
% 0.74/0.97 [204]P9(x2041,f41(x2041,x2042,x2043),x2043)
% 0.74/0.97 [211]P11(x2111,f41(x2112,x2111,x2113),f48(x2113,a3))
% 0.74/0.97 [296]~E(f28(x2961),f32(x2962,x2963))
% 0.74/0.97 [297]~E(f28(x2971),f31(x2972,x2973))
% 0.74/0.97 [298]~E(f33(x2981),f32(x2982,x2983))
% 0.74/0.97 [299]~E(f33(x2991),f31(x2992,x2993))
% 0.74/0.97 [300]~E(f32(x3001,x3002),f28(x3003))
% 0.74/0.97 [301]~E(f32(x3011,x3012),f33(x3013))
% 0.74/0.97 [302]~E(f31(x3021,x3022),f28(x3023))
% 0.74/0.97 [303]~E(f31(x3031,x3032),f33(x3033))
% 0.74/0.97 [304]~E(f32(x3041,x3042),f40(a30,x3043))
% 0.74/0.97 [305]~E(f31(x3051,x3052),f40(a30,x3053))
% 0.74/0.97 [306]~E(f40(a30,x3061),f32(x3062,x3063))
% 0.74/0.97 [307]~E(f40(a30,x3071),f31(x3072,x3073))
% 0.74/0.97 [320]~E(f17(x3201,x3202,x3203),x3202)
% 0.74/0.97 [323]~E(f17(x3231,x3232,x3233),f5(x3233))
% 0.74/0.97 [341]~P9(f31(x3411,x3412),f42(a30,x3413,a47,a46),a46)
% 0.74/0.97 [197]E(f9(x1971,x1972,f48(x1973,a3)),f9(x1972,x1971,f48(x1973,a3)))
% 0.74/0.97 [218]E(f41(x2181,f25(x2182,x2183),x2183),f25(f17(x2181,x2182,x2183),x2183))
% 0.74/0.97 [220]E(f41(x2201,f41(x2201,x2202,x2203),x2203),f41(x2201,x2202,x2203))
% 0.74/0.97 [223]P11(x2231,f9(x2232,x2231,f48(x2233,a3)),f48(x2233,a3))
% 0.74/0.97 [224]P11(x2241,f9(x2241,x2242,f48(x2243,a3)),f48(x2243,a3))
% 0.74/0.97 [227]P19(f40(f41(x2271,x2272,x2273),x2271))
% 0.74/0.97 [230]E(f9(f25(x2301,x2302),f25(x2303,x2302),f48(x2302,a3)),f25(f8(x2301,x2303,x2302),x2302))
% 0.74/0.97 [232]E(f9(x2321,f9(x2321,x2322,f48(x2323,a3)),f48(x2323,a3)),f9(x2321,x2322,f48(x2323,a3)))
% 0.74/0.97 [243]P11(f11(x2431,x2432),f11(x2431,f17(x2433,x2432,a4)),f48(a46,a3))
% 0.74/0.97 [244]P11(f25(x2441,x2442),f25(f17(x2443,x2441,x2442),x2442),f48(x2442,a3))
% 0.74/0.97 [312]~E(f40(a36,x3121),f40(f39(x3122),x3123))
% 0.74/0.97 [313]~E(f40(f39(x3131),x3132),f40(a36,x3133))
% 0.74/0.97 [342]~P9(f40(a36,x3421),f42(f39(x3422),x3423,a44,a47),a47)
% 0.74/0.97 [343]~P9(f40(f39(x3431),x3432),f42(a36,x3433,a44,a47),a47)
% 0.74/0.97 [201]P9(f40(a30,f40(f39(x2011),x2012)),f10(x2013),a46)
% 0.74/0.97 [205]E(f10(f17(f12(x2051,x2052),x2053,a4)),f10(x2053))
% 0.74/0.97 [206]E(f29(f41(f32(x2061,x2062),x2063,a46)),f29(x2063))
% 0.74/0.97 [207]P9(f40(a30,f40(f39(x2071),x2072)),f11(a24,x2073),a46)
% 0.74/0.97 [210]E(f11(a24,f17(f12(x2101,x2102),x2103,a4)),f11(a24,x2103))
% 0.74/0.97 [212]P9(f40(a30,f40(f39(x2121),x2122)),f11(x2123,f5(a4)),a46)
% 0.74/0.97 [219]P9(f40(a30,f40(f39(x2191),x2192)),f20(f11(a24,x2193)),a46)
% 0.74/0.97 [229]E(f11(x2291,f17(f13(x2291,x2292),x2293,a4)),f41(x2292,f11(x2291,x2293),a46))
% 0.74/0.97 [262]E(f41(f31(x2621,x2622),f27(f41(x2622,x2623,a46)),a46),f27(f41(f31(x2621,x2622),x2623,a46)))
% 0.74/0.97 [285]P11(f20(f41(f31(x2851,x2852),x2853,a46)),f41(f31(x2851,x2852),f20(f41(x2852,x2853,a46)),a46),f48(a46,a3))
% 0.74/0.97 [317]~E(f40(a36,x3171),f19(f40(f39(x3172),x3173)))
% 0.74/0.97 [318]~E(f19(f40(f39(x3181),x3182)),f40(a36,x3183))
% 0.74/0.97 [338]~P9(f31(x3381,x3382),f27(f11(x3383,f5(a4))),a46)
% 0.74/0.97 [344]~P9(f19(f40(f39(x3441),x3442)),f42(a36,x3443,a44,a47),a47)
% 0.74/0.97 [228]P9(f40(a30,f19(f40(f39(x2281),x2282))),f10(x2283),a46)
% 0.74/0.97 [261]E(f11(a24,f8(x2611,f17(f12(x2612,x2613),f5(a4),a4),a4)),f11(a24,x2611))
% 0.74/0.97 [281]E(f41(f32(x2811,x2812),f27(f41(x2811,f41(x2812,x2813,a46),a46)),a46),f27(f41(f32(x2811,x2812),x2813,a46)))
% 0.74/0.97 [282]E(f41(f32(x2821,x2822),f20(f41(x2821,f41(x2822,x2823,a46),a46)),a46),f20(f41(f32(x2821,x2822),x2823,a46)))
% 0.74/0.97 [309]~E(f12(x3091,x3092),f13(x3093,x3094))
% 0.74/0.97 [311]~E(f31(x3111,x3112),f32(x3113,x3114))
% 0.74/0.97 [234]E(f41(x2341,f41(x2342,x2343,x2344),x2344),f41(x2342,f41(x2341,x2343,x2344),x2344))
% 0.74/0.97 [240]E(f8(f8(x2401,x2402,x2403),x2404,x2403),f8(x2401,f8(x2402,x2404,x2403),x2403))
% 0.74/0.97 [242]E(f17(x2421,f8(x2422,x2423,x2424),x2424),f8(f17(x2421,x2422,x2424),x2423,x2424))
% 0.74/0.97 [263]E(f9(x2631,f9(x2632,x2633,f48(x2634,a3)),f48(x2634,a3)),f9(x2632,f9(x2631,x2633,f48(x2634,a3)),f48(x2634,a3)))
% 0.74/0.97 [265]E(f9(f9(x2651,x2652,f48(x2653,a3)),x2654,f48(x2653,a3)),f9(x2651,f9(x2652,x2654,f48(x2653,a3)),f48(x2653,a3)))
% 0.74/0.97 [246]E(f41(x2461,f9(x2462,x2463,f48(x2464,a3)),x2464),f9(x2462,f41(x2461,x2463,x2464),f48(x2464,a3)))
% 0.74/0.97 [247]E(f41(x2471,f9(x2472,x2473,f48(x2474,a3)),x2474),f9(f41(x2471,x2472,x2474),x2473,f48(x2474,a3)))
% 0.74/0.97 [253]E(f11(a24,f17(f14(x2531,x2532,x2533),x2534,a4)),f41(x2533,f11(a24,x2534),a46))
% 0.74/0.97 [256]E(f11(x2561,f17(f14(x2561,x2562,x2563),x2564,a4)),f41(x2563,f11(x2561,x2564),a46))
% 0.74/0.97 [274]P9(f40(x2741,x2742),f42(x2741,f38(f48(x2743,a3)),x2743,x2744),x2744)
% 0.74/0.97 [275]P9(x2751,f25(f8(x2752,f17(x2751,x2753,x2754),x2754),x2754),x2754)
% 0.74/0.97 [324]~E(f40(f39(x3241),x3242),f19(f40(f39(x3243),x3244)))
% 0.74/0.97 [325]~E(f19(f40(f39(x3251),x3252)),f40(f39(x3253),x3254))
% 0.74/0.97 [345]~P9(f19(f40(f39(x3451),x3452)),f42(f39(x3453),x3454,a44,a47),a47)
% 0.74/0.97 [280]E(f11(a24,f8(x2801,f17(f14(x2802,x2803,x2804),f5(a4),a4),a4)),f41(x2804,f11(a24,x2801),a46))
% 0.74/0.97 [326]~E(f13(x3261,x3262),f14(x3263,x3264,x3265))
% 0.74/0.97 [327]~E(f12(x3271,x3272),f14(x3273,x3274,x3275))
% 0.74/0.97 [328]~E(f14(x3281,x3282,x3283),f13(x3284,x3285))
% 0.74/0.97 [329]~E(f14(x3291,x3292,x3293),f12(x3294,x3295))
% 0.74/0.97 [283]E(f42(x2831,f41(x2832,x2833,x2834),x2834,x2835),f41(f40(x2831,x2832),f42(x2831,x2833,x2834,x2835),x2835))
% 0.74/0.97 [284]E(f41(f40(x2841,x2842),f42(x2841,x2843,x2844,x2845),x2845),f42(x2841,f41(x2842,x2843,x2844),x2844,x2845))
% 0.74/0.97 [287]E(f9(f42(x2871,x2872,x2873,x2874),f42(x2871,x2875,x2873,x2874),f48(x2874,a3)),f42(x2871,f9(x2872,x2875,f48(x2873,a3)),x2873,x2874))
% 0.74/0.97 [386]E(f19(x3861),x3861)+~P9(x3861,a35,a47)
% 0.74/0.97 [404]~P9(x4041,a35,a47)+P9(f19(x4041),a35,a47)
% 0.74/0.97 [406]P9(x4061,a35,a47)+~P9(f19(x4061),a35,a47)
% 0.74/0.97 [378]~P14(x3782)+P11(x3781,x3781,x3782)
% 0.74/0.97 [379]~P18(x3792)+P11(x3791,x3791,x3792)
% 0.74/0.97 [346]E(x3461,x3462)+~E(f19(x3461),f19(x3462))
% 0.74/0.97 [347]E(x3471,x3472)+~E(f28(x3471),f28(x3472))
% 0.74/0.97 [348]E(x3481,x3482)+~E(f33(x3481),f33(x3482))
% 0.74/0.97 [350]~E(f21(x3501,x3502),f5(x3502))+E(x3501,f5(x3502))
% 0.74/0.97 [351]~P1(x3512)+P1(f48(x3511,x3512))
% 0.74/0.97 [352]~P13(x3522)+P2(f48(x3521,x3522))
% 0.74/0.97 [353]~P14(x3532)+P14(f48(x3531,x3532))
% 0.74/0.97 [354]~P18(x3542)+P18(f48(x3541,x3542))
% 0.74/0.97 [355]~P3(x3552)+P3(f48(x3551,x3552))
% 0.74/0.97 [356]~P12(x3562)+P12(f48(x3561,x3562))
% 0.74/0.97 [357]~P13(x3572)+P13(f48(x3571,x3572))
% 0.74/0.97 [358]~P4(x3582)+P4(f48(x3581,x3582))
% 0.74/0.97 [359]~P6(x3591,x3592)+E(f21(x3591,x3592),x3591)
% 0.74/0.97 [360]P6(x3601,x3602)+~E(f21(x3601,x3602),x3601)
% 0.74/0.97 [361]E(x3611,x3612)+~E(f40(a30,x3611),f40(a30,x3612))
% 0.74/0.97 [362]E(x3621,x3622)+~E(f40(a36,x3621),f40(a36,x3622))
% 0.74/0.97 [380]~P2(x3802)+E(f9(x3801,x3801,x3802),x3801)
% 0.74/0.97 [383]~P1(x3832)+P11(x3831,f38(x3832),x3832)
% 0.74/0.97 [407]~P9(x4071,x4072,a46)+P9(x4071,f27(x4072),a46)
% 0.74/0.97 [408]~P9(x4081,x4082,a46)+P9(x4081,f34(x4082),a46)
% 0.74/0.97 [409]~P9(x4091,x4092,a46)+P9(x4091,f20(x4092),a46)
% 0.74/0.97 [415]~P9(x4151,f20(x4152),a46)+P9(x4151,f27(x4152),a46)
% 0.74/0.97 [418]~P9(f33(x4181),f34(x4182),a46)+P9(f33(x4181),x4182,a46)
% 0.74/0.97 [452]~P11(x4521,x4522,f48(a46,a3))+P11(f27(x4521),f27(x4522),f48(a46,a3))
% 0.74/0.97 [453]~P11(x4531,x4532,f48(a46,a3))+P11(f34(x4531),f34(x4532),f48(a46,a3))
% 0.74/0.97 [454]~P11(x4541,x4542,f48(a46,a3))+P11(f20(x4541),f20(x4542),f48(a46,a3))
% 0.74/0.97 [455]~P11(x4551,x4552,f48(a46,a3))+P11(f29(x4551),f29(x4552),f48(a47,a3))
% 0.74/0.97 [461]~P9(f40(a30,x4611),f34(x4612),a46)+P9(f40(a30,x4611),x4612,a46)
% 0.74/0.97 [462]P11(f27(x4621),f27(x4622),f48(a46,a3))+~P11(x4621,f27(x4622),f48(a46,a3))
% 0.74/0.97 [463]P11(f34(x4631),f34(x4632),f48(a46,a3))+~P11(x4631,f34(x4632),f48(a46,a3))
% 0.74/0.97 [464]P11(f20(x4641),f20(x4642),f48(a46,a3))+~P11(x4641,f20(x4642),f48(a46,a3))
% 0.74/0.97 [469]P11(x4691,f27(x4692),f48(a46,a3))+~P11(f27(x4691),f27(x4692),f48(a46,a3))
% 0.74/0.97 [470]P11(x4701,f34(x4702),f48(a46,a3))+~P11(f34(x4701),f34(x4702),f48(a46,a3))
% 0.74/0.97 [471]P11(x4711,f20(x4712),f48(a46,a3))+~P11(f20(x4711),f20(x4712),f48(a46,a3))
% 0.74/0.97 [631]P9(x6311,x6312,a44)+~P9(f40(a36,x6311),f42(a36,x6312,a44,a47),a47)
% 0.74/0.97 [632]P9(x6321,x6322,a47)+~P9(f40(a30,x6321),f42(a30,x6322,a47,a46),a46)
% 0.74/0.97 [374]~P16(x3742)+E(f16(f16(x3741,x3742),x3742),x3741)
% 0.74/0.97 [375]~P3(x3752)+E(f16(f16(x3751,x3752),x3752),x3751)
% 0.74/0.97 [384]~P12(x3842)+E(f9(x3841,f38(x3842),x3842),f38(x3842))
% 0.74/0.97 [385]~P12(x3851)+E(f9(f38(x3851),x3852,x3851),f38(x3851))
% 0.74/0.97 [388]~P3(x3882)+E(f9(x3881,f16(x3881,x3882),x3882),f38(x3882))
% 0.74/0.97 [389]~P3(x3892)+E(f9(f16(x3891,x3892),x3891,x3892),f38(x3892))
% 0.74/0.97 [423]P9(x4231,f27(x4232),a46)+~P9(x4231,f27(f27(x4232)),a46)
% 0.74/0.97 [424]P9(x4241,f34(x4242),a46)+~P9(x4241,f34(f34(x4242)),a46)
% 0.74/0.97 [425]P9(x4251,f20(x4252),a46)+~P9(x4251,f20(f20(x4252)),a46)
% 0.74/0.97 [459]~P9(x4591,f27(x4592),a46)+E(f27(f41(x4591,x4592,a46)),f27(x4592))
% 0.74/0.97 [460]~P9(x4601,f20(x4602),a46)+E(f20(f41(x4601,x4602,a46)),f20(x4602))
% 0.74/0.97 [475]P9(x4751,f10(x4752),a46)+~P9(x4751,f27(f11(a24,x4752)),a46)
% 0.74/0.97 [479]~P9(x4791,a6,a44)+P9(f40(a30,f40(a36,x4791)),f11(a24,x4792),a46)
% 0.74/0.97 [480]~P11(x4801,x4802,f48(a46,a3))+P11(f34(f20(x4801)),f34(f20(x4802)),f48(a46,a3))
% 0.74/0.97 [599]P11(f27(f41(x5991,x5992,a46)),f9(f34(f20(x5992)),f27(x5992),f48(a46,a3)),f48(a46,a3))+~P9(x5991,f34(f20(x5992)),a46)
% 0.74/0.97 [523]P9(x5231,f29(f20(x5232)),a47)+E(f20(f41(f40(a30,x5231),x5232,a46)),f41(f40(a30,x5231),f20(x5232),a46))
% 0.74/0.97 [542]~P9(x5421,f34(f20(x5422)),a46)+E(f34(f20(f41(x5421,x5422,a46))),f34(f20(x5422)))
% 0.74/0.97 [638]P9(f40(a30,x6381),f10(x6382),a46)+~P9(x6381,f42(a36,f38(f48(a44,a3)),a44,a47),a47)
% 0.74/0.97 [387]E(x3871,x3872)+~P10(x3871,x3872,x3873)
% 0.74/0.97 [392]~E(f8(x3923,x3921,x3922),x3923)+E(x3921,f5(x3922))
% 0.74/0.97 [393]~E(f8(x3931,x3933,x3932),x3933)+E(x3931,f5(x3932))
% 0.74/0.97 [396]~E(f8(x3963,x3961,x3962),f5(x3962))+E(x3961,f5(x3962))
% 0.74/0.97 [397]~E(f8(x3971,x3973,x3972),f5(x3972))+E(x3971,f5(x3972))
% 0.74/0.97 [398]P9(x3981,x3982,x3983)+~P19(f40(x3982,x3981))
% 0.74/0.97 [399]~P2(x3993)+E(f9(x3991,x3992,x3993),f9(x3992,x3991,x3993))
% 0.74/0.97 [400]~P13(x4003)+E(f9(x4001,x4002,x4003),f9(x4002,x4001,x4003))
% 0.74/0.97 [401]~P9(x4012,x4011,x4013)+P19(f40(x4011,x4012))
% 0.74/0.97 [405]~P9(x4051,x4052,x4053)+E(f41(x4051,x4052,x4053),x4052)
% 0.74/0.97 [419]~P2(x4193)+P11(x4191,f9(x4192,x4191,x4193),x4193)
% 0.74/0.97 [420]~P13(x4203)+P11(x4201,f9(x4202,x4201,x4203),x4203)
% 0.74/0.97 [421]~P2(x4213)+P11(x4211,f9(x4211,x4212,x4213),x4213)
% 0.74/0.97 [422]~P13(x4223)+P11(x4221,f9(x4221,x4222,x4223),x4223)
% 0.74/0.97 [437]P9(f19(x4371),f29(x4372),a47)+~P9(f31(x4371,x4373),x4372,a46)
% 0.74/0.97 [438]P9(x4381,f27(x4382),a46)+~P9(f32(x4383,x4381),f27(x4382),a46)
% 0.74/0.97 [439]P9(x4391,f27(x4392),a46)+~P9(f32(x4391,x4393),f27(x4392),a46)
% 0.74/0.97 [440]P9(x4401,f27(x4402),a46)+~P9(f31(x4403,x4401),f27(x4402),a46)
% 0.74/0.97 [441]P9(x4411,f20(x4412),a46)+~P9(f32(x4413,x4411),f20(x4412),a46)
% 0.74/0.97 [442]P9(x4421,f20(x4422),a46)+~P9(f32(x4421,x4423),f20(x4422),a46)
% 0.74/0.97 [443]P9(x4431,f10(x4432),a46)+~P9(f32(x4433,x4431),f10(x4432),a46)
% 0.74/0.97 [444]P9(x4441,f10(x4442),a46)+~P9(f32(x4441,x4443),f10(x4442),a46)
% 0.74/0.97 [456]P6(x4561,x4562)+~P6(f8(x4563,x4561,x4562),x4562)
% 0.74/0.97 [457]P6(x4571,x4572)+~P6(f8(x4571,x4573,x4572),x4572)
% 0.74/0.97 [458]P6(x4581,x4582)+~P6(f17(x4583,x4581,x4582),x4582)
% 0.74/0.97 [472]P9(x4721,f10(x4722),a46)+~P9(f13(x4723,x4721),f25(x4722,a4),a4)
% 0.74/0.97 [486]P9(x4861,f11(x4862,x4863),a46)+~P9(f13(x4862,x4861),f25(x4863,a4),a4)
% 0.74/0.97 [529]~P9(x5291,f25(x5292,x5293),x5293)+~P6(f17(x5291,x5292,x5293),x5293)
% 0.74/0.97 [403]E(x4031,x4032)+~E(f16(x4031,f48(x4033,a3)),f16(x4032,f48(x4033,a3)))
% 0.74/0.97 [433]P9(x4331,x4332,x4333)+P9(x4331,f16(x4332,f48(x4333,a3)),x4333)
% 0.74/0.97 [448]~P11(x4481,x4482,f48(x4483,a3))+E(f9(x4481,x4482,f48(x4483,a3)),x4482)
% 0.74/0.97 [449]~P11(x4492,x4491,f48(x4493,a3))+E(f9(x4491,x4492,f48(x4493,a3)),x4491)
% 0.74/0.97 [450]P11(x4501,x4502,f48(x4503,a3))+~E(f9(x4501,x4502,f48(x4503,a3)),x4502)
% 0.74/0.97 [473]~P2(x4733)+E(f9(x4731,f9(x4731,x4732,x4733),x4733),f9(x4731,x4732,x4733))
% 0.74/0.97 [474]~P13(x4743)+E(f9(x4741,f9(x4741,x4742,x4743),x4743),f9(x4741,x4742,x4743))
% 0.74/0.97 [477]P9(x4771,f34(f20(x4772)),a46)+~P9(f32(x4773,x4771),f34(f20(x4772)),a46)
% 0.74/0.97 [478]P9(x4781,f34(f20(x4782)),a46)+~P9(f32(x4781,x4783),f34(f20(x4782)),a46)
% 0.74/0.97 [481]~E(f20(x4812),f20(x4813))+E(f20(f41(x4811,x4812,a46)),f20(f41(x4811,x4813,a46)))
% 0.74/0.97 [497]~P9(x4971,f25(x4972,x4973),x4973)+E(f21(f17(x4971,x4972,x4973),x4973),f21(x4972,x4973))
% 0.74/0.97 [498]~P9(x4981,f25(x4982,x4983),x4983)+E(f18(f17(x4981,x4982,x4983),x4983),f18(x4982,x4983))
% 0.89/0.97 [511]P9(x5111,f25(x5112,x5113),x5113)+E(f17(x5111,f21(x5112,x5113),x5113),f21(f17(x5111,x5112,x5113),x5113))
% 0.89/0.98 [513]~P9(x5131,x5132,x5133)+~P9(x5131,f16(x5132,f48(x5133,a3)),x5133)
% 0.89/0.98 [548]~P11(x5483,x5481,f48(x5482,a3))+P11(f16(x5481,f48(x5482,a3)),f16(x5483,f48(x5482,a3)),f48(x5482,a3))
% 0.89/0.98 [554]~P9(x5541,f27(x5543),a46)+P9(x5541,f27(f41(x5542,x5543,a46)),a46)
% 0.89/0.98 [555]~P9(x5551,f20(x5553),a46)+P9(x5551,f20(f41(x5552,x5553,a46)),a46)
% 0.89/0.98 [575]P11(x5751,x5752,f48(x5753,a3))+~P11(f16(x5752,f48(x5753,a3)),f16(x5751,f48(x5753,a3)),f48(x5753,a3))
% 0.89/0.98 [591]~P9(x5911,x5913,a46)+P11(f27(f41(x5911,x5912,a46)),f9(f27(x5913),f27(x5912),f48(a46,a3)),f48(a46,a3))
% 0.89/0.98 [643]P11(f20(f41(x6431,x6432,a46)),f9(f34(f20(x6433)),f20(f9(x6433,x6432,f48(a46,a3))),f48(a46,a3)),f48(a46,a3))+~P9(x6431,f34(f20(x6433)),a46)
% 0.89/0.98 [483]P9(x4831,a6,a44)+E(f11(a24,f17(f13(x4831,x4832),x4833,a4)),f11(a24,x4833))
% 0.89/0.98 [493]E(x4931,a24)+E(f11(x4931,f17(f12(x4931,x4932),x4933,a4)),f41(x4932,f11(x4931,x4933),a46))
% 0.89/0.98 [494]P9(x4941,f10(x4942),a46)+~P9(x4941,f27(f11(x4943,f5(a4))),a46)
% 0.89/0.98 [535]~P9(x5351,a6,a44)+E(f11(a24,f17(f13(x5351,x5352),x5353,a4)),f41(x5352,f11(a24,x5353),a46))
% 0.89/0.98 [541]P9(f40(a30,f19(x5411)),f20(x5413),a46)+E(f20(f41(f31(x5411,x5412),x5413,a46)),f41(f31(x5411,x5412),f20(x5413),a46))
% 0.89/0.98 [579]~P9(x5791,f20(x5793),a46)+P9(x5791,f20(f9(x5792,x5793,f48(a46,a3))),a46)
% 0.89/0.98 [601]~P9(f40(a30,f19(x6011)),f20(x6013),a46)+E(f41(f31(x6011,x6012),f20(f41(x6012,x6013,a46)),a46),f20(f41(f31(x6011,x6012),x6013,a46)))
% 0.89/0.98 [641]~P9(f40(a30,f19(x6411)),f20(x6413),a46)+P11(f41(f31(x6411,x6412),f20(f41(x6412,x6413,a46)),a46),f20(f41(f31(x6411,x6412),x6413,a46)),f48(a46,a3))
% 0.89/0.98 [668]~P9(x6681,x6682,a47)+P9(f40(a30,x6681),f20(f9(f42(a30,x6682,a47,a46),x6683,f48(a46,a3))),a46)
% 0.89/0.98 [552]~P9(x5522,a6,a44)+P9(f40(a30,f19(f40(f39(x5521),x5522))),f11(a24,x5523),a46)
% 0.89/0.98 [588]P9(x5882,a6,a44)+E(f11(a24,f8(x5881,f17(f13(x5882,x5883),f5(a4),a4),a4)),f11(a24,x5881))
% 0.89/0.98 [600]~P9(x6002,a6,a44)+E(f11(a24,f8(x6001,f17(f13(x6002,x6003),f5(a4),a4),a4)),f41(x6003,f11(a24,x6001),a46))
% 0.89/0.98 [363]E(x3631,x3632)+~E(f13(x3633,x3631),f13(x3634,x3632))
% 0.89/0.98 [364]E(x3641,x3642)+~E(f12(x3643,x3641),f12(x3644,x3642))
% 0.89/0.98 [365]E(x3651,x3652)+~E(f32(x3653,x3651),f32(x3654,x3652))
% 0.89/0.98 [366]E(x3661,x3662)+~E(f31(x3663,x3661),f31(x3664,x3662))
% 0.89/0.98 [367]E(x3671,x3672)+~E(f13(x3671,x3673),f13(x3672,x3674))
% 0.89/0.98 [368]E(x3681,x3682)+~E(f12(x3681,x3683),f12(x3682,x3684))
% 0.89/0.98 [369]E(x3691,x3692)+~E(f32(x3691,x3693),f32(x3692,x3694))
% 0.89/0.98 [370]E(x3701,x3702)+~E(f31(x3701,x3703),f31(x3702,x3704))
% 0.89/0.98 [429]E(x4291,x4292)+~E(f8(x4293,x4291,x4294),f8(x4293,x4292,x4294))
% 0.89/0.98 [430]E(x4301,x4302)+~E(f8(x4301,x4303,x4304),f8(x4302,x4303,x4304))
% 0.89/0.98 [492]~P9(x4921,x4923,x4924)+P9(x4921,f41(x4922,x4923,x4924),x4924)
% 0.89/0.98 [522]~P11(x5221,x5223,f48(x5224,a3))+P11(x5221,f41(x5222,x5223,x5224),f48(x5224,a3))
% 0.89/0.98 [551]P9(x5511,x5512,x5513)+~P11(f41(x5511,x5514,x5513),x5512,f48(x5513,a3))
% 0.89/0.98 [553]P9(x5531,f10(x5532),a46)+~P9(f14(x5533,x5534,x5531),f25(x5532,a4),a4)
% 0.89/0.98 [558]P9(x5581,f11(a24,x5582),a46)+~P9(f14(x5583,x5584,x5581),f25(x5582,a4),a4)
% 0.89/0.98 [559]P9(x5591,f11(x5592,x5593),a46)+~P9(f14(x5592,x5594,x5591),f25(x5593,a4),a4)
% 0.89/0.98 [560]~P11(f41(x5604,x5601,x5603),x5602,f48(x5603,a3))+P11(x5601,x5602,f48(x5603,a3))
% 0.89/0.98 [563]~P9(f8(x5634,x5631,x5633),f23(x5632,x5633),f45(x5633))+P9(x5631,f23(x5632,x5633),f45(x5633))
% 0.89/0.98 [564]~P9(f8(x5641,x5644,x5643),f23(x5642,x5643),f45(x5643))+P9(x5641,f23(x5642,x5643),f45(x5643))
% 0.89/0.98 [569]~P11(x5692,x5694,f48(x5693,a3))+P11(f41(x5691,x5692,x5693),f41(x5691,x5694,x5693),f48(x5693,a3))
% 0.89/0.98 [381]E(x3811,x3812)+~E(f40(f39(x3813),x3811),f40(f39(x3814),x3812))
% 0.89/0.98 [382]E(x3821,x3822)+~E(f40(f39(x3821),x3823),f40(f39(x3822),x3824))
% 0.89/0.98 [517]~P19(f40(x5172,x5174))+P19(f40(f41(x5171,x5172,x5173),x5174))
% 0.89/0.98 [518]~P9(x5181,x5183,x5184)+P9(x5181,f9(x5182,x5183,f48(x5184,a3)),x5184)
% 0.89/0.98 [519]~P9(x5191,x5192,x5194)+P9(x5191,f9(x5192,x5193,f48(x5194,a3)),x5194)
% 0.89/0.98 [520]P9(x5201,f25(x5204,x5203),x5203)+E(f22(f17(x5201,x5202,x5203),x5204,x5203),f22(x5202,x5204,x5203))
% 0.89/0.98 [537]~P2(x5374)+E(f9(x5371,f9(x5372,x5373,x5374),x5374),f9(x5372,f9(x5371,x5373,x5374),x5374))
% 0.89/0.98 [538]~P13(x5384)+E(f9(x5381,f9(x5382,x5383,x5384),x5384),f9(x5382,f9(x5381,x5383,x5384),x5384))
% 0.89/0.98 [539]~P2(x5393)+E(f9(f9(x5391,x5392,x5393),x5394,x5393),f9(x5391,f9(x5392,x5394,x5393),x5393))
% 0.89/0.98 [540]~P13(x5403)+E(f9(f9(x5401,x5402,x5403),x5404,x5403),f9(x5401,f9(x5402,x5404,x5403),x5403))
% 0.89/0.98 [565]~P9(f14(x5653,x5654,x5651),f25(x5652,a4),a4)+P9(x5651,f27(f11(a24,x5652)),a46)
% 0.89/0.98 [566]~P9(f14(x5663,x5664,x5661),f25(x5662,a4),a4)+P9(x5661,f20(f11(a24,x5662)),a46)
% 0.89/0.98 [577]P11(x5771,x5772,f48(x5773,a3))+~P11(f9(x5774,x5771,f48(x5773,a3)),x5772,f48(x5773,a3))
% 0.89/0.98 [578]P11(x5781,x5782,f48(x5783,a3))+~P11(f9(x5781,x5784,f48(x5783,a3)),x5782,f48(x5783,a3))
% 0.89/0.98 [580]~P9(x5801,f25(x5803,x5804),x5804)+E(f17(x5801,f22(x5802,x5803,x5804),x5804),f22(f17(x5801,x5802,x5804),x5803,x5804))
% 0.89/0.98 [630]E(x6301,x6302)+~P9(f40(f39(x6301),x6303),f42(f39(x6302),x6304,a44,a47),a47)
% 0.89/0.98 [635]P9(x6351,x6352,a44)+~P9(f40(f39(x6353),x6351),f42(f39(x6354),x6352,a44,a47),a47)
% 0.89/0.98 [653]~P8(x6531,x6532,x6533,x6534)+P9(f14(x6531,x6532,f59(x6531,x6532,x6533,x6534)),f25(x6534,a4),a4)
% 0.89/0.98 [561]~P19(f40(x5612,x5614))+P19(f40(f9(x5611,x5612,f48(x5613,a3)),x5614))
% 0.89/0.98 [562]~P19(f40(x5621,x5624))+P19(f40(f9(x5621,x5622,f48(x5623,a3)),x5624))
% 0.89/0.98 [651]E(f40(x6511,f7(x6512,x6511,x6513,x6514)),x6512)+~P9(x6512,f42(x6511,f38(f48(x6514,a3)),x6514,x6513),x6513)
% 0.89/0.98 [664]~P7(x6641,f38(f48(x6643,a3)),x6643,x6644)+P11(f42(x6641,f16(x6642,f48(x6643,a3)),x6643,x6644),f16(f42(x6641,x6642,x6643,x6644),f48(x6644,a3)),f48(x6644,a3))
% 0.89/0.98 [627]~P9(x6271,f20(f11(a24,x6274)),a46)+P9(x6271,f20(f11(a24,f17(f13(x6272,x6273),x6274,a4))),a46)
% 0.89/0.98 [628]~P9(x6281,f20(f11(a24,x6284)),a46)+P9(x6281,f20(f11(a24,f17(f12(x6282,x6283),x6284,a4))),a46)
% 0.89/0.98 [427]E(x4271,x4272)+~E(f17(x4273,x4271,x4274),f17(x4275,x4272,x4274))
% 0.89/0.98 [431]E(x4311,x4312)+~E(f17(x4311,x4313,x4314),f17(x4312,x4315,x4314))
% 0.89/0.98 [613]~P9(x6132,x6133,x6134)+P9(f40(x6131,x6132),f42(x6131,x6133,x6134,x6135),x6135)
% 0.89/0.98 [622]P7(x6221,x6222,x6223,x6224)+~P7(x6221,f41(x6225,x6222,x6223),x6223,x6224)
% 0.89/0.98 [645]~P11(x6452,x6455,f48(x6453,a3))+P11(f42(x6451,x6452,x6453,x6454),f42(x6451,x6455,x6453,x6454),f48(x6454,a3))
% 0.89/0.98 [625]P7(x6251,x6252,x6253,x6254)+~P7(x6251,f9(x6255,x6252,f48(x6253,a3)),x6253,x6254)
% 0.89/0.98 [626]P7(x6261,x6262,x6263,x6264)+~P7(x6261,f9(x6262,x6265,f48(x6263,a3)),x6263,x6264)
% 0.89/0.98 [629]~P9(x6292,x6293,x6294)+E(f41(f40(x6291,x6292),f42(x6291,x6293,x6294,x6295),x6295),f42(x6291,x6293,x6294,x6295))
% 0.89/0.98 [593]E(x5931,x5932)+~E(f8(x5933,f17(x5931,f5(x5934),x5934),x5934),f8(x5935,f17(x5932,f5(x5934),x5934),x5934))
% 0.89/0.98 [594]E(x5941,x5942)+~E(f8(x5941,f17(x5943,f5(x5944),x5944),x5944),f8(x5942,f17(x5945,f5(x5944),x5944),x5944))
% 0.89/0.98 [652]~P9(x6521,f20(f11(a24,x6525)),a46)+P9(x6521,f20(f11(a24,f17(f14(x6522,x6523,x6524),x6525,a4))),a46)
% 0.89/0.98 [426]E(x4261,x4262)+~E(f14(x4263,x4264,x4261),f14(x4265,x4266,x4262))
% 0.89/0.98 [428]E(x4281,x4282)+~E(f14(x4283,x4281,x4284),f14(x4285,x4282,x4286))
% 0.89/0.98 [432]E(x4321,x4322)+~E(f14(x4321,x4323,x4324),f14(x4322,x4325,x4326))
% 0.89/0.98 [659]P9(x6591,f27(f11(a24,x6592)),a46)+~P9(f14(a26,x6593,f31(f40(a36,x6593),f32(x6594,f32(x6595,f32(x6591,x6596))))),f25(x6592,a4),a4)
% 0.89/0.98 [655]P9(x6551,f27(f11(a24,x6552)),a46)+~P9(f14(x6553,x6554,f31(x6555,f32(x6556,f32(x6557,f32(x6558,x6551))))),f25(x6552,a4),a4)
% 0.89/0.98 [662]~P9(f31(a53,f32(f33(a58),f33(a58))),f27(f11(a24,a56)),a46)+P9(f14(a2,a50,f31(a53,f32(f33(a58),f33(a58)))),f25(a56,a4),a4)+~P9(f31(f40(a36,a2),f32(f33(a55),f32(f28(a50),f32(f40(a30,a53),a57)))),f27(f11(a24,a56)),a46)
% 0.89/0.98 [549]~P9(x5491,a6,a44)+~P9(x5492,a37,f45(a4))+P9(f40(a30,f40(a36,x5491)),f27(f11(a24,x5492)),a46)
% 0.89/0.98 [550]~P9(x5501,a6,a44)+~P9(x5502,a37,f45(a4))+P9(f40(a30,f40(a36,x5501)),f20(f11(a24,x5502)),a46)
% 0.89/0.98 [570]P9(x5701,a6,a44)+~P9(x5702,a37,f45(a4))+~P9(f40(a30,f40(a36,x5701)),f27(f11(a24,x5702)),a46)
% 0.89/0.98 [571]P9(x5711,a6,a44)+~P9(x5712,a37,f45(a4))+~P9(f40(a30,f40(a36,x5711)),f20(f11(a24,x5712)),a46)
% 0.89/0.98 [646]~P9(x6462,a37,f45(a4))+P9(x6461,f42(a36,f38(f48(a44,a3)),a44,a47),a47)+P9(f40(a30,x6461),f20(f41(f40(a30,x6461),f11(a24,x6462),a46)),a46)
% 0.89/0.98 [402]P11(x4022,x4021,x4023)+~P15(x4023)+P11(x4021,x4022,x4023)
% 0.89/0.98 [376]~P16(x3763)+E(x3761,x3762)+~E(f16(x3761,x3763),f16(x3762,x3763))
% 0.89/0.98 [377]~P3(x3773)+E(x3771,x3772)+~E(f16(x3771,x3773),f16(x3772,x3773))
% 0.89/0.98 [410]~P2(x4103)+~P11(x4101,x4102,x4103)+E(f9(x4101,x4102,x4103),x4102)
% 0.89/0.98 [411]~P2(x4113)+~P11(x4112,x4111,x4113)+E(f9(x4111,x4112,x4113),x4111)
% 0.89/0.98 [412]~P2(x4123)+P11(x4121,x4122,x4123)+~E(f9(x4121,x4122,x4123),x4122)
% 0.89/0.98 [445]~P17(x4452)+~P11(x4453,x4451,x4452)+P11(f16(x4451,x4452),f16(x4453,x4452),x4452)
% 0.89/0.98 [466]~P17(x4663)+~P11(x4662,f16(x4661,x4663),x4663)+P11(x4661,f16(x4662,x4663),x4663)
% 0.89/0.98 [468]~P17(x4682)+~P11(f16(x4683,x4682),x4681,x4682)+P11(f16(x4681,x4682),x4683,x4682)
% 0.89/0.98 [476]~P6(x4762,x4763)+P9(x4761,f25(x4762,x4763),x4763)+P6(f17(x4761,x4762,x4763),x4763)
% 0.89/0.98 [482]~P17(x4823)+P11(x4821,x4822,x4823)+~P11(f16(x4822,x4823),f16(x4821,x4823),x4823)
% 0.89/0.98 [488]E(x4881,a24)+P9(x4882,f11(x4881,x4883),a46)+~P9(f12(x4881,x4882),f25(x4883,a4),a4)
% 0.89/0.98 [490]E(x4901,x4902)+~P11(x4901,x4902,f48(x4903,a3))+~P11(x4902,x4901,f48(x4903,a3))
% 0.89/0.98 [503]~P9(x5031,a35,a47)+P9(x5031,f29(x5032),a47)+~P9(f31(x5031,x5033),x5032,a46)
% 0.89/0.98 [504]P9(f32(x5041,x5042),f34(x5043),a46)+~P9(x5042,f34(x5043),a46)+~P9(x5041,f34(x5043),a46)
% 0.89/0.98 [505]P9(x5051,f34(x5052),a46)+P9(f32(x5053,x5051),x5052,a46)+~P9(f32(x5053,x5051),f34(x5052),a46)
% 0.89/0.98 [506]P9(x5061,f34(x5062),a46)+P9(f32(x5061,x5063),x5062,a46)+~P9(f32(x5061,x5063),f34(x5062),a46)
% 0.89/0.98 [507]P9(x5071,f34(x5072),a46)+P9(f31(x5073,x5071),x5072,a46)+~P9(f31(x5073,x5071),f34(x5072),a46)
% 0.89/0.98 [508]~P11(x5083,f27(x5082),f48(a46,a3))+P9(x5081,f27(x5082),a46)+~P9(x5081,f27(x5083),a46)
% 0.89/0.98 [509]~P11(x5093,f34(x5092),f48(a46,a3))+P9(x5091,f34(x5092),a46)+~P9(x5091,f34(x5093),a46)
% 0.89/0.98 [510]~P11(x5103,f20(x5102),f48(a46,a3))+P9(x5101,f20(x5102),a46)+~P9(x5101,f20(x5103),a46)
% 0.89/0.98 [516]~P9(f31(x5161,x5162),f34(x5163),a46)+P9(f31(x5161,x5162),x5163,a46)+P9(f40(a30,x5161),x5163,a46)
% 0.89/0.98 [521]P9(f31(x5211,x5212),f34(x5213),a46)+~P9(x5212,f34(x5213),a46)+~P9(f40(a30,x5211),x5213,a46)
% 0.89/0.98 [530]~P9(x5303,a6,a44)+~P9(f13(x5303,x5301),f25(x5302,a4),a4)+P9(x5301,f11(a24,x5302),a46)
% 0.89/0.98 [534]~P11(x5343,x5342,f48(a46,a3))+~P9(x5341,f20(x5343),a46)+E(f20(f41(x5341,x5342,a46)),f20(x5342))
% 0.89/0.98 [546]P9(x5461,f20(x5462),a46)+~P9(f31(x5463,x5461),f20(x5462),a46)+~P9(f40(a30,f19(x5463)),f20(x5462),a46)
% 0.89/0.98 [581]~P9(x5813,a6,a44)+P9(x5811,f20(f11(a24,x5812)),a46)+~P9(f31(f40(a36,x5813),x5811),f20(f11(a24,x5812)),a46)
% 0.89/0.98 [583]P9(x5831,f20(x5832),a46)+~P9(f31(f40(a36,x5833),x5831),f20(x5832),a46)+~P9(f40(a30,f40(a36,x5833)),f20(x5832),a46)
% 0.89/0.98 [595]P9(x5951,f34(x5952),a46)+~P9(x5953,f34(x5952),a46)+~P9(x5951,f34(f41(x5953,x5952,a46)),a46)
% 0.89/0.98 [596]P9(x5961,f20(x5962),a46)+~P9(x5963,f20(x5962),a46)+~P9(x5961,f20(f41(x5963,x5962,a46)),a46)
% 0.89/0.98 [619]P9(x6191,f9(f34(f20(x6192)),f27(x6192),f48(a46,a3)),a46)+~P9(x6193,f34(f20(x6192)),a46)+~P9(x6191,f27(f41(x6193,x6192,a46)),a46)
% 0.89/0.98 [597]~P5(x5973)+~P9(x5972,f34(f20(f11(a24,x5973))),a46)+P5(f17(f14(a24,x5971,x5972),x5973,a4))
% 0.89/0.98 [614]P9(x6141,f27(x6142),a46)+P9(x6141,f27(x6143),a46)+~P9(x6141,f27(f9(x6142,x6143,f48(a46,a3))),a46)
% 0.89/0.98 [616]~P9(x6163,a37,f45(a4))+P9(f17(f14(a24,x6161,x6162),x6163,a4),a37,f45(a4))+~P9(x6162,f34(f20(f11(a24,x6163))),a46)
% 0.89/0.98 [447]~P11(x4473,x4471,f48(x4474,a3))+P19(f40(x4471,x4472))+~P19(f40(x4473,x4472))
% 0.89/0.98 [495]~P2(x4954)+~P11(x4951,x4953,x4954)+P11(x4951,f9(x4952,x4953,x4954),x4954)
% 0.89/0.98 [496]~P2(x4964)+~P11(x4961,x4962,x4964)+P11(x4961,f9(x4962,x4963,x4964),x4964)
% 0.89/0.98 [502]P9(x5021,x5022,x5023)+~P9(x5021,x5024,x5023)+~P11(x5024,x5022,f48(x5023,a3))
% 0.89/0.98 [524]E(x5241,x5242)+P9(x5241,x5243,x5244)+~P9(x5241,f41(x5242,x5243,x5244),x5244)
% 0.89/0.98 [526]~P2(x5263)+P11(x5261,x5262,x5263)+~P11(f9(x5264,x5261,x5263),x5262,x5263)
% 0.89/0.98 [528]~P2(x5283)+P11(x5281,x5282,x5283)+~P11(f9(x5281,x5284,x5283),x5282,x5283)
% 0.89/0.98 [531]P9(x5311,x5312,x5313)+~P9(x5314,f23(x5312,x5313),f45(x5313))+~P9(x5311,f25(x5314,x5313),x5313)
% 0.89/0.98 [532]~P11(x5321,x5324,f48(x5323,a3))+~P11(x5324,x5322,f48(x5323,a3))+P11(x5321,x5322,f48(x5323,a3))
% 0.89/0.98 [567]~P9(x5671,x5674,x5673)+~P11(x5672,x5674,f48(x5673,a3))+P11(f41(x5671,x5672,x5673),x5674,f48(x5673,a3))
% 0.89/0.98 [574]P9(x5741,x5742,x5743)+~P11(x5742,f41(x5741,x5744,x5743),f48(x5743,a3))+P11(x5742,x5744,f48(x5743,a3))
% 0.89/0.98 [582]P9(f8(x5821,x5822,x5823),f23(x5824,x5823),f45(x5823))+~P9(x5822,f23(x5824,x5823),f45(x5823))+~P9(x5821,f23(x5824,x5823),f45(x5823))
% 0.89/0.98 [572]E(x5721,x5722)+P19(f40(x5723,x5721))+~P19(f40(f41(x5722,x5723,x5724),x5721))
% 0.89/0.98 [576]P9(x5761,x5762,x5763)+P9(x5761,x5764,x5763)+~P9(x5761,f9(x5762,x5764,f48(x5763,a3)),x5763)
% 0.89/0.98 [585]~P11(x5851,x5854,f48(x5853,a3))+~P11(x5852,x5854,f48(x5853,a3))+P11(f9(x5851,x5852,f48(x5853,a3)),x5854,f48(x5853,a3))
% 0.89/0.98 [592]E(x5921,x5922)+P9(x5921,f25(x5923,x5924),x5924)+~P9(x5921,f25(f17(x5922,x5923,x5924),x5924),x5924)
% 0.89/0.98 [536]~E(f20(x5361),f20(x5363))+~E(f20(x5362),f20(x5364))+E(f20(f9(x5361,x5362,f48(a46,a3))),f20(f9(x5363,x5364,f48(a46,a3))))
% 0.89/0.98 [598]P19(f40(x5981,x5982))+P19(f40(x5983,x5982))+~P19(f40(f9(x5981,x5983,f48(x5984,a3)),x5982))
% 0.89/0.98 [624]~P9(x6244,f27(x6243),a46)+~P9(x6241,f27(f41(x6244,x6242,a46)),a46)+P9(x6241,f27(f9(x6242,x6243,f48(a46,a3))),a46)
% 0.89/0.98 [634]~P11(f20(x6342),f20(x6344),f48(a46,a3))+~P11(f20(x6341),f20(x6343),f48(a46,a3))+P11(f20(f9(x6341,x6342,f48(a46,a3))),f20(f9(x6343,x6344,f48(a46,a3))),f48(a46,a3))
% 0.89/0.98 [633]~P5(x6332)+P9(f33(x6331),f10(x6332),a46)+P5(f17(f14(x6333,a26,f32(f28(x6333),f32(f28(x6334),f33(x6331)))),x6332,a4))
% 0.89/0.98 [639]P9(f33(x6391),f10(x6392),a46)+~P9(x6392,a37,f45(a4))+P9(f17(f14(x6393,a26,f32(f28(x6393),f32(f28(x6394),f33(x6391)))),x6392,a4),a37,f45(a4))
% 0.89/0.98 [487]~P4(x4874)+P11(f40(x4871,x4872),f40(x4873,x4872),x4874)+~P11(x4871,x4873,f48(x4875,x4874))
% 0.89/0.98 [617]P7(x6171,x6172,x6173,x6174)+~P7(x6171,x6175,x6173,x6174)+~P11(x6172,x6175,f48(x6173,a3))
% 0.89/0.98 [590]E(x5901,x5902)+~E(f40(x5903,x5901),f40(x5903,x5902))+~P7(x5903,f38(f48(x5904,a3)),x5904,x5905)
% 0.89/0.98 [606]~P11(x6061,x6064,f48(x6063,a3))+~P11(x6062,x6065,f48(x6063,a3))+P11(f9(x6061,x6062,f48(x6063,a3)),f9(x6064,x6065,f48(x6063,a3)),f48(x6063,a3))
% 0.89/0.98 [647]E(x6471,x6472)+~E(f42(x6473,x6471,x6474,x6475),f42(x6473,x6472,x6474,x6475))+~P7(x6473,f38(f48(x6474,a3)),x6474,x6475)
% 0.89/0.98 [649]E(x6491,x6492)+~E(f42(x6493,x6491,x6494,x6495),f42(x6493,x6492,x6494,x6495))+~P7(x6493,f9(x6491,x6492,f48(x6494,a3)),x6494,x6495)
% 0.89/0.98 [650]P9(x6501,x6502,x6503)+~P9(f40(x6504,x6501),f42(x6504,x6502,x6503,x6505),x6505)+~P7(x6504,f38(f48(x6503,a3)),x6503,x6505)
% 0.89/0.98 [663]~P11(f42(x6634,x6631,x6633,x6635),f42(x6634,x6632,x6633,x6635),f48(x6635,a3))+P11(x6631,x6632,f48(x6633,a3))+~P7(x6634,f38(f48(x6633,a3)),x6633,x6635)
% 0.89/0.98 [637]~P9(x6372,x6375,x6376)+P9(f40(x6371,x6372),x6373,x6374)+~P11(f42(x6371,x6375,x6376,x6374),x6373,f48(x6374,a3))
% 0.89/0.98 [674]E(x6741,f40(a36,x6742))+~P9(x6743,a37,f45(a4))+~P9(f14(a26,x6742,f31(x6741,f32(x6744,f32(f28(x6745),f32(f40(a30,x6746),x6747))))),f25(x6743,a4),a4)
% 0.89/0.98 [675]~P9(x6755,a37,f45(a4))+E(x6751,f31(f40(a36,x6752),f32(f40(a30,x6753),f28(x6754))))+~P9(f14(a26,x6754,f31(x6756,f32(x6757,f32(f28(x6752),f32(f40(a30,x6753),x6751))))),f25(x6755,a4),a4)
% 0.89/0.98 [681]~P9(x6811,a37,f45(a4))+~P9(x6812,f42(a36,f38(f48(a44,a3)),a44,a47),a47)+~P9(f14(a26,x6813,f31(x6814,f32(x6815,f32(f28(x6816),f32(f40(a30,x6812),x6817))))),f25(x6811,a4),a4)
% 0.89/0.98 [589]~P9(x5891,a35,a47)+P9(f40(a30,x5891),f10(x5892),a46)+~P9(x5892,a37,f45(a4))+~P9(x5891,f29(f27(f11(a24,x5892))),a47)
% 0.89/0.98 [436]~P11(x4362,x4361,x4363)+~P11(x4361,x4362,x4363)+E(x4361,x4362)+~P14(x4363)
% 0.89/0.98 [568]~P9(f31(x5683,x5681),f20(x5682),a46)+P9(x5681,f20(x5682),a46)+~P9(x5683,a35,a47)+~P9(f40(a30,x5683),f20(x5682),a46)
% 0.89/0.98 [587]~P9(f40(a30,x5873),f20(x5872),a46)+~P9(f31(x5873,x5871),f34(f20(x5872)),a46)+P9(x5871,f34(f20(x5872)),a46)+~P9(f40(a30,f19(x5873)),f20(x5872),a46)
% 0.89/0.98 [484]~P14(x4843)+~P11(x4841,x4844,x4843)+P11(x4841,x4842,x4843)+~P11(x4844,x4842,x4843)
% 0.89/0.98 [485]~P18(x4853)+~P11(x4851,x4854,x4853)+P11(x4851,x4852,x4853)+~P11(x4854,x4852,x4853)
% 0.89/0.98 [512]P9(x5123,x5121,x5124)+E(x5121,x5122)+P9(x5123,x5122,x5124)+~E(f41(x5123,x5121,x5124),f41(x5123,x5122,x5124))
% 0.89/0.98 [545]~P2(x5453)+~P11(x5452,x5454,x5453)+~P11(x5451,x5454,x5453)+P11(f9(x5451,x5452,x5453),x5454,x5453)
% 0.89/0.98 [618]~P11(x6183,x6182,f48(a46,a3))+P9(f40(a30,x6181),f20(x6182),a46)+~P9(x6184,f34(f20(x6183)),a46)+~P9(f40(a30,x6181),f20(f41(x6184,x6182,a46)),a46)
% 0.89/0.98 [656]~P9(x6564,f34(f20(x6562)),a46)+P9(f40(a30,f19(x6561)),f27(x6562),a46)+~P9(x6561,f29(f27(f41(x6564,x6563,a46))),a47)+P9(x6561,f29(f27(f9(x6563,x6562,f48(a46,a3)))),a47)
% 0.89/0.98 [697]P9(x6971,a6,a44)+~P9(x6974,a37,f45(a4))+~P9(f31(f40(a36,x6971),f32(f40(a30,x6973),f28(x6972))),f27(f11(a24,x6974)),a46)+P9(f14(a26,x6972,f31(f40(a36,x6972),f32(f62(x6972,x6971,x6973,x6974),f32(f28(x6971),f32(f40(a30,x6973),f31(f40(a36,x6971),f32(f40(a30,x6973),f28(x6972)))))))),f25(x6974,a4),a4)
% 0.89/0.98 [660]P9(x6604,a6,a44)+~P9(x6605,a37,f45(a4))+E(x6601,f31(f40(a36,x6602),f32(f40(a30,x6603),f28(x6604))))+~P9(f31(f40(a36,x6604),f32(x6606,f32(f28(x6602),f32(f40(a30,x6603),x6601)))),f27(f11(a24,x6605)),a46)
% 0.89/0.98 [673]P9(x6731,a6,a44)+~P9(x6732,a37,f45(a4))+~P9(x6733,f42(a36,f38(f48(a44,a3)),a44,a47),a47)+~P9(f31(f40(a36,x6731),f32(x6734,f32(f28(x6735),f32(f40(a30,x6733),x6736)))),f27(f11(a24,x6732)),a46)
% 0.89/0.98 [678]P9(x6781,a6,a44)+~P9(x6786,a37,f45(a4))+~P9(f31(f40(a36,x6781),f32(x6782,f32(f28(x6783),f32(f40(a30,x6784),x6785)))),f27(f11(a24,x6786)),a46)+P9(f14(a26,x6781,f31(f40(a36,x6781),f32(x6782,f32(f28(x6783),f32(f40(a30,x6784),x6785))))),f25(x6786,a4),a4)
% 0.89/0.98 [676]~P9(x6765,a37,f45(a4))+P9(x6761,f20(f11(a24,x6765)),a46)+E(x6761,f31(f40(a36,x6762),f32(f40(a30,x6763),f28(x6764))))+~P9(f14(x6766,x6764,f31(f40(a36,x6764),f32(f33(x6767),f32(f28(x6762),f32(f40(a30,x6763),x6761))))),f25(x6765,a4),a4)
% 0.89/0.98 [683]~P9(x6832,a37,f45(a4))+P9(x6831,f20(f11(a24,x6832)),a46)+~P9(x6833,f42(a36,f38(f48(a44,a3)),a44,a47),a47)+~P9(f14(x6834,x6835,f31(f40(a36,x6835),f32(f33(x6836),f32(f28(x6837),f32(f40(a30,x6833),x6831))))),f25(x6832,a4),a4)
% 0.89/0.98 [686]~P5(x6864)+~P9(f14(x6865,x6866,f31(x6863,f33(x6862))),f25(x6864,a4),a4)+~P9(f14(a26,x6866,f31(f40(a36,x6866),f32(f33(x6861),f32(f28(x6865),f32(f40(a30,x6863),x6867))))),f25(x6864,a4),a4)+P5(f17(f13(a24,f32(f33(x6861),f32(f33(x6862),f40(a30,x6863)))),x6864,a4))
% 0.89/0.98 [689]~P9(x6894,a37,f45(a4))+~P9(f14(x6895,x6896,f31(x6893,f33(x6892))),f25(x6894,a4),a4)+P9(f17(f13(a24,f32(f33(x6891),f32(f33(x6892),f40(a30,x6893)))),x6894,a4),a37,f45(a4))+~P9(f14(a26,x6896,f31(f40(a36,x6896),f32(f33(x6891),f32(f28(x6895),f32(f40(a30,x6893),x6897))))),f25(x6894,a4),a4)
% 0.89/0.98 [692]E(x6921,x6922)+~P9(x6923,a37,f45(a4))+~P9(f14(a26,x6928,f31(f40(a36,x6928),f32(x6929,f32(f28(x69210),f32(f40(a30,x6927),x6922))))),f25(x6923,a4),a4)+~P9(f14(a26,x6924,f31(f40(a36,x6924),f32(x6925,f32(f28(x6926),f32(f40(a30,x6927),x6921))))),f25(x6923,a4),a4)
% 0.89/0.98 [693]E(x6931,x6932)+~P9(x6933,a37,f45(a4))+~P9(f14(a26,x6938,f31(f40(a36,x6938),f32(x6939,f32(f28(x6932),f32(f40(a30,x6936),x69310))))),f25(x6933,a4),a4)+~P9(f14(a26,x6934,f31(f40(a36,x6934),f32(x6935,f32(f28(x6931),f32(f40(a30,x6936),x6937))))),f25(x6933,a4),a4)
% 0.89/0.98 [694]E(x6941,x6942)+~P9(x6943,a37,f45(a4))+~P9(f14(a26,x6948,f31(f40(a36,x6948),f32(x6942,f32(f28(x6949),f32(f40(a30,x6946),x69410))))),f25(x6943,a4),a4)+~P9(f14(a26,x6944,f31(f40(a36,x6944),f32(x6941,f32(f28(x6945),f32(f40(a30,x6946),x6947))))),f25(x6943,a4),a4)
% 0.89/0.98 [695]E(x6951,x6952)+~P9(x6953,a37,f45(a4))+~P9(f14(a26,x6951,f31(f40(a36,x6951),f32(x6958,f32(f28(x6959),f32(f40(a30,x6956),x69510))))),f25(x6953,a4),a4)+~P9(f14(a26,x6952,f31(f40(a36,x6952),f32(x6954,f32(f28(x6955),f32(f40(a30,x6956),x6957))))),f25(x6953,a4),a4)
% 0.89/0.98 [654]E(x6541,x6542)+~P9(x6543,a37,f45(a4))+P9(f40(a30,x6541),f20(f11(a24,x6543)),a46)+P9(x6542,f42(a36,f38(f48(a44,a3)),a44,a47),a47)+~P9(f40(a30,x6541),f20(f41(f40(a30,x6542),f11(a24,x6543),a46)),a46)
% 0.89/0.98 [696]P9(x6961,x6962,a47)+~P11(x6962,f16(f42(a36,f38(f48(a44,a3)),a44,a47),f48(a47,a3)),f48(a47,a3))+~P9(x6963,a37,f45(a4))+P9(f40(a30,x6961),f20(f11(a24,x6963)),a46)+~P9(f40(a30,x6961),f20(f9(f42(a30,x6962,a47,a46),f11(a24,x6963),f48(a46,a3))),a46)
% 0.89/0.98 [605]~P9(x6051,x6054,x6055)+E(x6051,x6052)+~P7(x6053,x6054,x6055,x6056)+~P9(x6052,x6054,x6055)+~E(f40(x6053,x6051),f40(x6053,x6052))
% 0.89/0.98 [658]~P5(x6582)+~P9(x6585,a35,a47)+P9(f33(x6581),f10(x6582),a46)+~P9(f14(x6586,x6583,f31(f40(a36,x6583),f32(f40(a30,x6585),f28(x6584)))),f25(x6582,a4),a4)+P5(f17(f14(x6583,x6584,f31(x6585,f33(x6581))),x6582,a4))
% 0.89/0.98 [661]~P9(x6615,a35,a47)+P9(f33(x6611),f10(x6612),a46)+~P9(x6612,a37,f45(a4))+~P9(f14(x6616,x6613,f31(f40(a36,x6613),f32(f40(a30,x6615),f28(x6614)))),f25(x6612,a4),a4)+P9(f17(f14(x6613,x6614,f31(x6615,f33(x6611))),x6612,a4),a37,f45(a4))
% 0.89/0.98 [700]~P5(x7002)+~P9(x7001,a35,a47)+P9(f40(a30,x7001),f10(x7002),a46)+~P9(f14(x7006,a26,f32(f28(x7003),f32(f28(x7005),f33(x7004)))),f25(x7002,a4),a4)+P5(f17(f14(a26,x7003,f31(f40(a36,x7003),f32(f33(x7004),f32(f28(x7005),f32(f40(a30,x7001),f31(f40(a36,x7005),f32(f40(a30,x7001),f28(x7003)))))))),x7002,a4))
% 0.89/0.98 [701]~P9(x7011,a35,a47)+P9(f40(a30,x7011),f10(x7012),a46)+~P9(x7012,a37,f45(a4))+~P9(f14(x7016,a26,f32(f28(x7013),f32(f28(x7015),f33(x7014)))),f25(x7012,a4),a4)+P9(f17(f14(a26,x7013,f31(f40(a36,x7013),f32(f33(x7014),f32(f28(x7015),f32(f40(a30,x7011),f31(f40(a36,x7015),f32(f40(a30,x7011),f28(x7013)))))))),x7012,a4),a37,f45(a4))
% 0.89/0.98 [679]~P9(x6792,a37,f45(a4))+~P9(f31(x6791,f33(x6795)),f27(f11(a24,x6792)),a46)+P9(f40(a30,x6791),f20(f11(a24,x6792)),a46)+P9(f14(x6793,x6794,f31(x6791,f33(x6795))),f25(x6792,a4),a4)+~P9(f14(a26,x6794,f31(f40(a36,x6794),f32(x6796,f32(f28(x6793),f32(f40(a30,x6791),x6797))))),f25(x6792,a4),a4)
% 0.89/0.98 [680]~P9(x6802,a37,f45(a4))+~P9(f31(x6801,f33(x6805)),f27(f11(a24,x6802)),a46)+P9(f14(f64(x6803,x6804,x6802),x6803,x6804),f25(x6802,a4),a4)+P9(f40(a30,x6801),f20(f11(a24,x6802)),a46)+~P9(f14(a26,x6806,f31(f40(a36,x6806),f32(x6807,f32(f28(x6803),f32(f40(a30,x6801),x6804))))),f25(x6802,a4),a4)
% 0.89/0.98 [682]~P5(x6824)+E(x6821,a26)+~P9(f14(x6821,a26,f32(f28(x6821),f32(f28(x6822),f33(x6825)))),f25(x6824,a4),a4)+P5(f17(f14(x6821,x6822,x6823),x6824,a4))+~P9(f14(x6826,x6821,f31(f40(a36,x6821),f32(f33(x6825),f32(f28(x6822),f32(f40(a30,x6827),x6823))))),f25(x6824,a4),a4)
% 0.89/0.98 [684]E(x6841,a26)+~P9(x6844,a37,f45(a4))+P9(f17(f14(x6841,x6842,x6843),x6844,a4),a37,f45(a4))+~P9(f14(x6841,a26,f32(f28(x6841),f32(f28(x6842),f33(x6845)))),f25(x6844,a4),a4)+~P9(f14(x6846,x6841,f31(f40(a36,x6841),f32(f33(x6845),f32(f28(x6842),f32(f40(a30,x6847),x6843))))),f25(x6844,a4),a4)
% 0.89/0.98 [685]~P5(x6855)+~P9(x6853,a35,a47)+~P9(f14(x6856,x6851,f31(x6853,f33(x6854))),f25(x6855,a4),a4)+~P9(f14(x6857,x6851,f31(f40(a36,x6851),f32(f33(x6858),f32(f28(x6852),f32(f40(a30,x6853),x6859))))),f25(x6855,a4),a4)+P5(f17(f14(x6851,x6852,f31(x6853,f32(f33(x6854),f33(x6854)))),x6855,a4))
% 0.89/0.98 [687]~P9(x6873,a35,a47)+~P9(x6875,a37,f45(a4))+~P9(f14(x6876,x6871,f31(x6873,f33(x6874))),f25(x6875,a4),a4)+P9(f17(f14(x6871,x6872,f31(x6873,f32(f33(x6874),f33(x6874)))),x6875,a4),a37,f45(a4))+~P9(f14(x6877,x6871,f31(f40(a36,x6871),f32(f33(x6878),f32(f28(x6872),f32(f40(a30,x6873),x6879))))),f25(x6875,a4),a4)
% 0.89/0.98 [623]E(x6231,a24)+~P9(x6232,f11(x6231,x6233),a46)+P9(f12(x6231,x6232),f25(x6233,a4),a4)+P9(f13(x6231,x6232),f25(x6233,a4),a4)+P9(f14(x6231,f15(x6231,x6232,x6233),x6232),f25(x6233,a4),a4)+P9(x6232,f11(x6231,f5(a4)),a46)
% 0.89/0.98 [636]P8(x6362,x6361,f31(x6363,f33(x6364)),x6365)+P9(x6361,a6,a44)+P9(x6362,a6,a44)+~P9(x6365,a37,f45(a4))+P9(f40(a30,x6363),f20(f11(a24,x6365)),a46)+~P9(f14(x6362,x6361,f31(x6363,f33(x6364))),f25(x6365,a4),a4)
% 0.89/0.98 [699]P9(x6991,a6,a44)+P9(x6992,a6,a44)+~P9(x6995,a37,f45(a4))+~P9(f40(a30,x6994),f20(f11(a24,x6995)),a46)+P9(f13(a24,f32(x6993,f32(f66(x6994,x6993,x6995),f40(a30,x6994)))),f25(x6995,a4),a4)+~P9(f14(a26,x6991,f31(f40(a36,x6991),f32(x6993,f32(f28(x6992),f32(f40(a30,x6994),f31(f40(a36,x6992),f32(f40(a30,x6994),f28(x6991)))))))),f25(x6995,a4),a4)
% 0.89/0.98 [698]P9(x6981,a6,a44)+~P9(x6983,a37,f45(a4))+P9(f40(a30,x6982),f20(f11(a24,x6983)),a46)+~P9(f31(x6982,f32(f33(x6985),f33(x6985))),f27(f11(a24,x6983)),a46)+P9(f14(x6984,x6981,f31(x6982,f32(f33(x6985),f33(x6985)))),f25(x6983,a4),a4)+~P9(f14(a26,x6984,f31(f40(a36,x6984),f32(x6986,f32(f28(x6981),f32(f40(a30,x6982),f31(f40(a36,x6981),f32(f40(a30,x6982),f28(x6984)))))))),f25(x6983,a4),a4)
% 0.89/0.98 [688]P9(x6881,a6,a44)+P9(x6882,a6,a44)+~P9(x6885,a37,f45(a4))+~P9(f40(a30,x6884),f20(f11(a24,x6885)),a46)+P9(f13(a24,f32(x6883,f32(f65(x6884,x6883,x6885),f40(a30,x6884)))),f25(x6885,a4),a4)+~P9(f14(a26,x6881,f31(x6886,f32(x6883,f32(f28(x6882),f32(f40(a30,x6884),x6887))))),f25(x6885,a4),a4)
% 0.89/0.98 [665]P9(x6651,a6,a44)+P9(x6652,a6,a44)+~P9(x6655,a37,f45(a4))+~P9(f31(x6653,f32(f33(x6654),f33(x6654))),f27(f11(a24,x6655)),a46)+~P9(f31(f40(a36,x6651),f32(f40(a30,x6653),f28(x6652))),f27(f11(a24,x6655)),a46)+P9(f14(x6652,x6651,f31(x6653,f32(f33(x6654),f33(x6654)))),f25(x6655,a4),a4)+P9(f13(a24,f32(f60(x6653,x6655),f32(f63(x6653,x6655),f40(a30,x6653)))),f25(x6655,a4),a4)
% 0.89/0.98 [666]P8(x6662,x6661,f31(x6663,f33(x6664)),x6665)+P9(x6661,a6,a44)+P9(x6662,a6,a44)+~P9(x6665,a37,f45(a4))+~P9(f31(x6663,f33(x6664)),f27(f11(a24,x6665)),a46)+P9(f40(a30,x6663),f20(f11(a24,x6665)),a46)+~P9(f31(f40(a36,x6661),f32(x6666,f32(f28(x6662),f32(f40(a30,x6663),x6667)))),f27(f11(a24,x6665)),a46)
% 0.89/0.98 [677]P9(x6771,a6,a44)+P9(x6772,a6,a44)+~P9(x6775,a37,f45(a4))+~P9(f31(x6773,f33(x6774)),f27(f11(a24,x6775)),a46)+P9(f14(x6772,x6771,f31(x6773,f33(x6774))),f25(x6775,a4),a4)+P9(f13(a24,f32(x6776,f32(f61(x6773,x6776,x6775),f40(a30,x6773)))),f25(x6775,a4),a4)+~P9(f31(f40(a36,x6771),f32(x6776,f32(f28(x6772),f32(f40(a30,x6773),x6777)))),f27(f11(a24,x6775)),a46)
% 0.89/0.98 %EqnAxiom
% 0.89/0.98 [1]E(x11,x11)
% 0.89/0.98 [2]E(x22,x21)+~E(x21,x22)
% 0.89/0.98 [3]E(x31,x33)+~E(x31,x32)+~E(x32,x33)
% 0.89/0.98 [4]~E(x41,x42)+E(f5(x41),f5(x42))
% 0.89/0.98 [5]~E(x51,x52)+E(f19(x51),f19(x52))
% 0.89/0.98 [6]~E(x61,x62)+E(f40(x61,x63),f40(x62,x63))
% 0.89/0.98 [7]~E(x71,x72)+E(f40(x73,x71),f40(x73,x72))
% 0.89/0.98 [8]~E(x81,x82)+E(f27(x81),f27(x82))
% 0.89/0.98 [9]~E(x91,x92)+E(f32(x91,x93),f32(x92,x93))
% 0.89/0.98 [10]~E(x101,x102)+E(f32(x103,x101),f32(x103,x102))
% 0.89/0.98 [11]~E(x111,x112)+E(f31(x111,x113),f31(x112,x113))
% 0.89/0.98 [12]~E(x121,x122)+E(f31(x123,x121),f31(x123,x122))
% 0.89/0.98 [13]~E(x131,x132)+E(f20(x131),f20(x132))
% 0.89/0.98 [14]~E(x141,x142)+E(f28(x141),f28(x142))
% 0.89/0.98 [15]~E(x151,x152)+E(f33(x151),f33(x152))
% 0.89/0.98 [16]~E(x161,x162)+E(f34(x161),f34(x162))
% 0.89/0.98 [17]~E(x171,x172)+E(f48(x171,x173),f48(x172,x173))
% 0.89/0.98 [18]~E(x181,x182)+E(f48(x183,x181),f48(x183,x182))
% 0.89/0.98 [19]~E(x191,x192)+E(f9(x191,x193,x194),f9(x192,x193,x194))
% 0.89/0.98 [20]~E(x201,x202)+E(f9(x203,x201,x204),f9(x203,x202,x204))
% 0.89/0.98 [21]~E(x211,x212)+E(f9(x213,x214,x211),f9(x213,x214,x212))
% 0.89/0.98 [22]~E(x221,x222)+E(f25(x221,x223),f25(x222,x223))
% 0.89/0.98 [23]~E(x231,x232)+E(f25(x233,x231),f25(x233,x232))
% 0.89/0.98 [24]~E(x241,x242)+E(f14(x241,x243,x244),f14(x242,x243,x244))
% 0.89/0.98 [25]~E(x251,x252)+E(f14(x253,x251,x254),f14(x253,x252,x254))
% 0.89/0.98 [26]~E(x261,x262)+E(f14(x263,x264,x261),f14(x263,x264,x262))
% 0.89/0.98 [27]~E(x271,x272)+E(f42(x271,x273,x274,x275),f42(x272,x273,x274,x275))
% 0.89/0.98 [28]~E(x281,x282)+E(f42(x283,x281,x284,x285),f42(x283,x282,x284,x285))
% 0.89/0.98 [29]~E(x291,x292)+E(f42(x293,x294,x291,x295),f42(x293,x294,x292,x295))
% 0.89/0.98 [30]~E(x301,x302)+E(f42(x303,x304,x305,x301),f42(x303,x304,x305,x302))
% 0.89/0.98 [31]~E(x311,x312)+E(f17(x311,x313,x314),f17(x312,x313,x314))
% 0.89/0.98 [32]~E(x321,x322)+E(f17(x323,x321,x324),f17(x323,x322,x324))
% 0.89/0.98 [33]~E(x331,x332)+E(f17(x333,x334,x331),f17(x333,x334,x332))
% 0.89/0.98 [34]~E(x341,x342)+E(f13(x341,x343),f13(x342,x343))
% 0.89/0.98 [35]~E(x351,x352)+E(f13(x353,x351),f13(x353,x352))
% 0.89/0.98 [36]~E(x361,x362)+E(f38(x361),f38(x362))
% 0.89/0.98 [37]~E(x371,x372)+E(f10(x371),f10(x372))
% 0.89/0.98 [38]~E(x381,x382)+E(f8(x381,x383,x384),f8(x382,x383,x384))
% 0.89/0.98 [39]~E(x391,x392)+E(f8(x393,x391,x394),f8(x393,x392,x394))
% 0.89/0.98 [40]~E(x401,x402)+E(f8(x403,x404,x401),f8(x403,x404,x402))
% 0.89/0.98 [41]~E(x411,x412)+E(f21(x411,x413),f21(x412,x413))
% 0.89/0.98 [42]~E(x421,x422)+E(f21(x423,x421),f21(x423,x422))
% 0.89/0.98 [43]~E(x431,x432)+E(f41(x431,x433,x434),f41(x432,x433,x434))
% 0.89/0.98 [44]~E(x441,x442)+E(f41(x443,x441,x444),f41(x443,x442,x444))
% 0.89/0.98 [45]~E(x451,x452)+E(f41(x453,x454,x451),f41(x453,x454,x452))
% 0.89/0.98 [46]~E(x461,x462)+E(f12(x461,x463),f12(x462,x463))
% 0.89/0.98 [47]~E(x471,x472)+E(f12(x473,x471),f12(x473,x472))
% 0.89/0.98 [48]~E(x481,x482)+E(f11(x481,x483),f11(x482,x483))
% 0.89/0.98 [49]~E(x491,x492)+E(f11(x493,x491),f11(x493,x492))
% 0.89/0.98 [50]~E(x501,x502)+E(f16(x501,x503),f16(x502,x503))
% 0.89/0.98 [51]~E(x511,x512)+E(f16(x513,x511),f16(x513,x512))
% 0.89/0.98 [52]~E(x521,x522)+E(f45(x521),f45(x522))
% 0.89/0.98 [53]~E(x531,x532)+E(f22(x531,x533,x534),f22(x532,x533,x534))
% 0.89/0.98 [54]~E(x541,x542)+E(f22(x543,x541,x544),f22(x543,x542,x544))
% 0.89/0.98 [55]~E(x551,x552)+E(f22(x553,x554,x551),f22(x553,x554,x552))
% 0.89/0.98 [56]~E(x561,x562)+E(f29(x561),f29(x562))
% 0.89/0.98 [57]~E(x571,x572)+E(f23(x571,x573),f23(x572,x573))
% 0.89/0.98 [58]~E(x581,x582)+E(f23(x583,x581),f23(x583,x582))
% 0.89/0.98 [59]~E(x591,x592)+E(f62(x591,x593,x594,x595),f62(x592,x593,x594,x595))
% 0.89/0.98 [60]~E(x601,x602)+E(f62(x603,x601,x604,x605),f62(x603,x602,x604,x605))
% 0.89/0.98 [61]~E(x611,x612)+E(f62(x613,x614,x611,x615),f62(x613,x614,x612,x615))
% 0.89/0.98 [62]~E(x621,x622)+E(f62(x623,x624,x625,x621),f62(x623,x624,x625,x622))
% 0.89/0.98 [63]~E(x631,x632)+E(f39(x631),f39(x632))
% 0.89/0.98 [64]~E(x641,x642)+E(f61(x641,x643,x644),f61(x642,x643,x644))
% 0.89/0.98 [65]~E(x651,x652)+E(f61(x653,x651,x654),f61(x653,x652,x654))
% 0.89/0.98 [66]~E(x661,x662)+E(f61(x663,x664,x661),f61(x663,x664,x662))
% 0.89/0.98 [67]~E(x671,x672)+E(f65(x671,x673,x674),f65(x672,x673,x674))
% 0.89/0.98 [68]~E(x681,x682)+E(f65(x683,x681,x684),f65(x683,x682,x684))
% 0.89/0.98 [69]~E(x691,x692)+E(f65(x693,x694,x691),f65(x693,x694,x692))
% 0.89/0.98 [70]~E(x701,x702)+E(f60(x701,x703),f60(x702,x703))
% 0.89/0.98 [71]~E(x711,x712)+E(f60(x713,x711),f60(x713,x712))
% 0.89/0.98 [72]~E(x721,x722)+E(f66(x721,x723,x724),f66(x722,x723,x724))
% 0.89/0.98 [73]~E(x731,x732)+E(f66(x733,x731,x734),f66(x733,x732,x734))
% 0.89/0.98 [74]~E(x741,x742)+E(f66(x743,x744,x741),f66(x743,x744,x742))
% 0.89/0.98 [75]~E(x751,x752)+E(f63(x751,x753),f63(x752,x753))
% 0.89/0.98 [76]~E(x761,x762)+E(f63(x763,x761),f63(x763,x762))
% 0.89/0.98 [77]~E(x771,x772)+E(f7(x771,x773,x774,x775),f7(x772,x773,x774,x775))
% 0.89/0.98 [78]~E(x781,x782)+E(f7(x783,x781,x784,x785),f7(x783,x782,x784,x785))
% 0.89/0.98 [79]~E(x791,x792)+E(f7(x793,x794,x791,x795),f7(x793,x794,x792,x795))
% 0.89/0.98 [80]~E(x801,x802)+E(f7(x803,x804,x805,x801),f7(x803,x804,x805,x802))
% 0.89/0.98 [81]~E(x811,x812)+E(f18(x811,x813),f18(x812,x813))
% 0.89/0.98 [82]~E(x821,x822)+E(f18(x823,x821),f18(x823,x822))
% 0.89/0.98 [83]~E(x831,x832)+E(f59(x831,x833,x834,x835),f59(x832,x833,x834,x835))
% 0.89/0.98 [84]~E(x841,x842)+E(f59(x843,x841,x844,x845),f59(x843,x842,x844,x845))
% 0.89/0.98 [85]~E(x851,x852)+E(f59(x853,x854,x851,x855),f59(x853,x854,x852,x855))
% 0.89/0.98 [86]~E(x861,x862)+E(f59(x863,x864,x865,x861),f59(x863,x864,x865,x862))
% 0.89/0.98 [87]~E(x871,x872)+E(f43(x871),f43(x872))
% 0.89/0.98 [88]~E(x881,x882)+E(f15(x881,x883,x884),f15(x882,x883,x884))
% 0.89/0.98 [89]~E(x891,x892)+E(f15(x893,x891,x894),f15(x893,x892,x894))
% 0.89/0.98 [90]~E(x901,x902)+E(f15(x903,x904,x901),f15(x903,x904,x902))
% 0.89/0.98 [91]~E(x911,x912)+E(f64(x911,x913,x914),f64(x912,x913,x914))
% 0.89/0.98 [92]~E(x921,x922)+E(f64(x923,x921,x924),f64(x923,x922,x924))
% 0.89/0.98 [93]~E(x931,x932)+E(f64(x933,x934,x931),f64(x933,x934,x932))
% 0.89/0.98 [94]~P1(x941)+P1(x942)+~E(x941,x942)
% 0.89/0.98 [95]~P2(x951)+P2(x952)+~E(x951,x952)
% 0.89/0.98 [96]P9(x962,x963,x964)+~E(x961,x962)+~P9(x961,x963,x964)
% 0.89/0.98 [97]P9(x973,x972,x974)+~E(x971,x972)+~P9(x973,x971,x974)
% 0.89/0.98 [98]P9(x983,x984,x982)+~E(x981,x982)+~P9(x983,x984,x981)
% 0.89/0.98 [99]~P14(x991)+P14(x992)+~E(x991,x992)
% 0.89/0.98 [100]P11(x1002,x1003,x1004)+~E(x1001,x1002)+~P11(x1001,x1003,x1004)
% 0.89/0.98 [101]P11(x1013,x1012,x1014)+~E(x1011,x1012)+~P11(x1013,x1011,x1014)
% 0.89/0.98 [102]P11(x1023,x1024,x1022)+~E(x1021,x1022)+~P11(x1023,x1024,x1021)
% 0.89/0.98 [103]~P18(x1031)+P18(x1032)+~E(x1031,x1032)
% 0.89/0.98 [104]P7(x1042,x1043,x1044,x1045)+~E(x1041,x1042)+~P7(x1041,x1043,x1044,x1045)
% 0.89/0.98 [105]P7(x1053,x1052,x1054,x1055)+~E(x1051,x1052)+~P7(x1053,x1051,x1054,x1055)
% 0.89/0.98 [106]P7(x1063,x1064,x1062,x1065)+~E(x1061,x1062)+~P7(x1063,x1064,x1061,x1065)
% 0.89/0.98 [107]P7(x1073,x1074,x1075,x1072)+~E(x1071,x1072)+~P7(x1073,x1074,x1075,x1071)
% 0.89/0.98 [108]~P3(x1081)+P3(x1082)+~E(x1081,x1082)
% 0.89/0.98 [109]~P12(x1091)+P12(x1092)+~E(x1091,x1092)
% 0.89/0.98 [110]~P13(x1101)+P13(x1102)+~E(x1101,x1102)
% 0.89/0.98 [111]~P19(x1111)+P19(x1112)+~E(x1111,x1112)
% 0.89/0.98 [112]~P15(x1121)+P15(x1122)+~E(x1121,x1122)
% 0.89/0.98 [113]~P4(x1131)+P4(x1132)+~E(x1131,x1132)
% 0.89/0.98 [114]~P16(x1141)+P16(x1142)+~E(x1141,x1142)
% 0.89/0.98 [115]~P5(x1151)+P5(x1152)+~E(x1151,x1152)
% 0.89/0.98 [116]P6(x1162,x1163)+~E(x1161,x1162)+~P6(x1161,x1163)
% 0.89/0.98 [117]P6(x1173,x1172)+~E(x1171,x1172)+~P6(x1173,x1171)
% 0.89/0.98 [118]~P17(x1181)+P17(x1182)+~E(x1181,x1182)
% 0.89/0.98 [119]P10(x1192,x1193,x1194)+~E(x1191,x1192)+~P10(x1191,x1193,x1194)
% 0.89/0.98 [120]P10(x1203,x1202,x1204)+~E(x1201,x1202)+~P10(x1203,x1201,x1204)
% 0.89/0.98 [121]P10(x1213,x1214,x1212)+~E(x1211,x1212)+~P10(x1213,x1214,x1211)
% 0.89/0.98 [122]P8(x1222,x1223,x1224,x1225)+~E(x1221,x1222)+~P8(x1221,x1223,x1224,x1225)
% 0.89/0.98 [123]P8(x1233,x1232,x1234,x1235)+~E(x1231,x1232)+~P8(x1233,x1231,x1234,x1235)
% 0.89/0.98 [124]P8(x1243,x1244,x1242,x1245)+~E(x1241,x1242)+~P8(x1243,x1244,x1241,x1245)
% 0.89/0.98 [125]P8(x1253,x1254,x1255,x1252)+~E(x1251,x1252)+~P8(x1253,x1254,x1255,x1251)
% 0.89/0.98
% 0.89/0.98 %-------------------------------------------
% 0.89/0.98 cnf(720,plain,
% 0.89/0.98 (P9(x7201,f25(f8(x7202,f17(x7201,x7203,x7204),x7204),x7204),x7204)),
% 0.89/0.98 inference(rename_variables,[],[275])).
% 0.89/0.98 cnf(723,plain,
% 0.89/0.98 (P9(x7231,f25(f8(x7232,f17(x7231,x7233,x7234),x7234),x7234),x7234)),
% 0.89/0.98 inference(rename_variables,[],[275])).
% 0.89/0.98 cnf(728,plain,
% 0.89/0.98 (~P9(f33(x7281),f27(f11(x7282,f5(a4))),a46)),
% 0.89/0.98 inference(rename_variables,[],[336])).
% 0.89/0.98 cnf(733,plain,
% 0.89/0.98 (P11(x7331,f20(x7331),f48(a46,a3))),
% 0.89/0.98 inference(rename_variables,[],[178])).
% 0.89/0.98 cnf(736,plain,
% 0.89/0.98 (P9(x7361,f25(f8(x7362,f17(x7361,x7363,x7364),x7364),x7364),x7364)),
% 0.89/0.98 inference(rename_variables,[],[275])).
% 0.89/0.98 cnf(753,plain,
% 0.89/0.98 (~E(f17(x7531,x7532,x7533),x7532)),
% 0.89/0.98 inference(rename_variables,[],[320])).
% 0.89/0.98 cnf(756,plain,
% 0.89/0.98 (~E(f17(x7561,x7562,x7563),x7562)),
% 0.89/0.98 inference(rename_variables,[],[320])).
% 0.89/0.98 cnf(759,plain,
% 0.89/0.98 (P9(f28(x7591),f34(x7592),a46)),
% 0.89/0.98 inference(rename_variables,[],[169])).
% 0.89/0.98 cnf(762,plain,
% 0.89/0.98 (P11(x7621,f20(x7621),f48(a46,a3))),
% 0.89/0.98 inference(rename_variables,[],[178])).
% 0.89/0.98 cnf(765,plain,
% 0.89/0.98 (P11(x7651,f20(x7651),f48(a46,a3))),
% 0.89/0.98 inference(rename_variables,[],[178])).
% 0.89/0.98 cnf(768,plain,
% 0.89/0.98 (P11(x7681,f20(x7681),f48(a46,a3))),
% 0.89/0.98 inference(rename_variables,[],[178])).
% 0.89/0.98 cnf(773,plain,
% 0.89/0.98 (~E(f17(x7731,x7732,x7733),x7732)),
% 0.89/0.98 inference(rename_variables,[],[320])).
% 0.89/0.98 cnf(776,plain,
% 0.89/0.98 (~E(f17(x7761,x7762,x7763),x7762)),
% 0.89/0.98 inference(rename_variables,[],[320])).
% 0.89/0.98 cnf(779,plain,
% 0.89/0.98 (~E(f17(x7791,x7792,x7793),x7792)),
% 0.89/0.98 inference(rename_variables,[],[320])).
% 0.89/0.98 cnf(782,plain,
% 0.89/0.98 (P9(f28(x7821),f34(x7822),a46)),
% 0.89/0.98 inference(rename_variables,[],[169])).
% 0.89/0.98 cnf(787,plain,
% 0.89/0.98 (P9(x7871,f25(f8(x7872,f17(x7871,x7873,x7874),x7874),x7874),x7874)),
% 0.89/0.98 inference(rename_variables,[],[275])).
% 0.89/0.98 cnf(796,plain,
% 0.89/0.98 (P11(x7961,x7961,f48(x7962,a3))),
% 0.89/0.98 inference(rename_variables,[],[174])).
% 0.89/0.98 cnf(798,plain,
% 0.89/0.98 (P11(x7981,x7981,f48(x7982,a3))),
% 0.89/0.98 inference(rename_variables,[],[174])).
% 0.89/0.98 cnf(802,plain,
% 0.89/0.98 (~P9(f31(x8021,x8022),f42(a30,x8023,a47,a46),a46)),
% 0.89/0.98 inference(rename_variables,[],[341])).
% 0.89/0.98 cnf(805,plain,
% 0.89/0.98 (~E(f17(x8051,x8052,x8053),x8052)),
% 0.89/0.98 inference(rename_variables,[],[320])).
% 0.89/0.98 cnf(816,plain,
% 0.89/0.98 (P9(x8161,f25(f8(x8162,f17(x8161,x8163,x8164),x8164),x8164),x8164)),
% 0.89/0.98 inference(rename_variables,[],[275])).
% 0.89/0.98 cnf(829,plain,
% 0.89/0.98 (P9(x8291,f25(f8(x8292,f17(x8291,x8293,x8294),x8294),x8294),x8294)),
% 0.89/0.98 inference(rename_variables,[],[275])).
% 0.89/0.98 cnf(833,plain,
% 0.89/0.98 (P9(f28(x8331),f34(x8332),a46)),
% 0.89/0.98 inference(rename_variables,[],[169])).
% 0.89/0.98 cnf(840,plain,
% 0.89/0.98 (P9(f28(x8401),f34(x8402),a46)),
% 0.89/0.98 inference(rename_variables,[],[169])).
% 0.89/0.98 cnf(843,plain,
% 0.89/0.98 (P9(x8431,f25(f8(x8432,f17(x8431,x8433,x8434),x8434),x8434),x8434)),
% 0.89/0.98 inference(rename_variables,[],[275])).
% 0.89/0.98 cnf(857,plain,
% 0.89/0.98 ($false),
% 0.89/0.98 inference(scs_inference,[],[126,159,157,315,156,289,160,331,335,217,245,204,174,796,798,151,320,753,756,773,776,779,805,178,733,762,765,768,177,211,169,759,782,833,840,185,340,341,802,333,227,180,191,275,720,723,736,787,816,829,843,312,274,336,728,338,2,387,409,407,386,6,475,415,398,659,655,566,565,553,551,472,444,443,442,441,439,438,418,393,392,643,578,577,560,522,397,396,350,599,559,486,569,651,119,117,101,100,98,97,96,3,502,490,570,681,510,508,503,530,674,616,637,521,488,567,531,507,582,589]),
% 0.89/0.98 ['proof']).
% 0.89/0.98 % SZS output end Proof
% 0.89/0.98 % Total time :0.140000s
%------------------------------------------------------------------------------