TSTP Solution File: SWV802-1 by CSE---1.6
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- Process Solution
%------------------------------------------------------------------------------
% File : CSE---1.6
% Problem : SWV802-1 : TPTP v8.1.2. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %s %d
% Computer : n012.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 4.53s 4.63s
% Output : CNFRefutation 4.69s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SWV802-1 : TPTP v8.1.2. Released v4.1.0.
% 0.00/0.13 % Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %s %d
% 0.12/0.34 % Computer : n012.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 300
% 0.12/0.34 % DateTime : Tue Aug 29 07:59:39 EDT 2023
% 0.12/0.34 % CPUTime :
% 0.20/0.55 start to proof:theBenchmark
% 4.49/4.58 %-------------------------------------------
% 4.49/4.58 % File :CSE---1.6
% 4.49/4.58 % Problem :theBenchmark
% 4.49/4.58 % Transform :cnf
% 4.49/4.58 % Format :tptp:raw
% 4.49/4.58 % Command :java -jar mcs_scs.jar %d %s
% 4.49/4.58
% 4.49/4.58 % Result :Theorem 3.850000s
% 4.49/4.58 % Output :CNFRefutation 3.850000s
% 4.49/4.58 %-------------------------------------------
% 4.53/4.58 %------------------------------------------------------------------------------
% 4.53/4.58 % File : SWV802-1 : TPTP v8.1.2. Released v4.1.0.
% 4.53/4.58 % Domain : Software Verification
% 4.53/4.58 % Problem : Needham-Schroeder shared-key protocol 480_1
% 4.53/4.58 % Version : Especial.
% 4.53/4.58 % English :
% 4.53/4.58
% 4.53/4.58 % Refs : [BAN89] Burrows et al. (1989), A Logic of Authentication
% 4.53/4.58 % : [Nip10] Nipkow (2010), Email to Geoff Sutcliffe
% 4.53/4.58 % : [BN10] Boehme & Nipkow (2010), Sledgehammer: Judgement Day
% 4.53/4.58 % Source : [Nip10]
% 4.53/4.58 % Names : NS_Shared-480_1 [Nip10]
% 4.53/4.58
% 4.53/4.58 % Status : Unsatisfiable
% 4.53/4.58 % Rating : 0.10 v8.1.0, 0.21 v7.5.0, 0.26 v7.4.0, 0.24 v7.3.0, 0.17 v7.0.0, 0.20 v6.4.0, 0.33 v6.3.0, 0.18 v6.2.0, 0.40 v6.1.0, 0.43 v6.0.0, 0.40 v5.5.0, 0.70 v5.4.0, 0.65 v5.3.0, 0.67 v5.2.0, 0.62 v5.1.0, 0.65 v5.0.0, 0.57 v4.1.0
% 4.53/4.58 % Syntax : Number of clauses : 624 ( 283 unt; 64 nHn; 361 RR)
% 4.53/4.58 % Number of literals : 1184 ( 367 equ; 571 neg)
% 4.53/4.58 % Maximal clause size : 7 ( 1 avg)
% 4.53/4.58 % Maximal term depth : 10 ( 2 avg)
% 4.53/4.58 % Number of predicates : 16 ( 15 usr; 0 prp; 1-4 aty)
% 4.53/4.58 % Number of functors : 67 ( 67 usr; 25 con; 0-4 aty)
% 4.53/4.58 % Number of variables : 1852 ( 529 sgn)
% 4.53/4.58 % SPC : CNF_UNS_RFO_SEQ_NHN
% 4.53/4.58
% 4.53/4.58 % Comments :
% 4.53/4.58 %------------------------------------------------------------------------------
% 4.53/4.58 cnf(cls_spies__Gets__rev_0,axiom,
% 4.53/4.58 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) ).
% 4.53/4.58
% 4.53/4.58 cnf(cls_append__eq__append__conv2_5,axiom,
% 4.53/4.58 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) ).
% 4.53/4.58
% 4.53/4.58 cnf(cls_append__eq__append__conv2_4,axiom,
% 4.53/4.58 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) ).
% 4.53/4.58
% 4.53/4.58 cnf(cls_append__eq__appendI_0,axiom,
% 4.53/4.58 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) ).
% 4.53/4.58
% 4.53/4.58 cnf(cls_append__assoc_0,axiom,
% 4.53/4.58 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) ).
% 4.53/4.58
% 4.53/4.58 cnf(cls_append__is__Nil__conv_2,axiom,
% 4.53/4.58 c_List_Oappend(c_List_Olist_ONil(T_a),c_List_Olist_ONil(T_a),T_a) = c_List_Olist_ONil(T_a) ).
% 4.53/4.58
% 4.53/4.58 cnf(cls_append__in__lists__conv_1,axiom,
% 4.53/4.58 ( c_in(V_ys,c_List_Olists(V_A,T_a),tc_List_Olist(T_a))
% 4.53/4.58 | ~ c_in(c_List_Oappend(V_xs,V_ys,T_a),c_List_Olists(V_A,T_a),tc_List_Olist(T_a)) ) ).
% 4.53/4.58
% 4.53/4.58 cnf(cls_append__in__lists__conv_0,axiom,
% 4.53/4.58 ( c_in(V_xs,c_List_Olists(V_A,T_a),tc_List_Olist(T_a))
% 4.53/4.58 | ~ c_in(c_List_Oappend(V_xs,V_ys,T_a),c_List_Olists(V_A,T_a),tc_List_Olist(T_a)) ) ).
% 4.53/4.58
% 4.53/4.58 cnf(cls_append1__eq__conv_1,axiom,
% 4.53/4.58 ( 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)
% 4.53/4.58 | V_x = V_y ) ).
% 4.53/4.58
% 4.53/4.58 cnf(cls_append1__eq__conv_0,axiom,
% 4.53/4.58 ( 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)
% 4.53/4.58 | V_xs = V_ys ) ).
% 4.53/4.59
% 4.53/4.59 cnf(cls_append__eq__Cons__conv_4,axiom,
% 4.53/4.59 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) ).
% 4.53/4.59
% 4.53/4.59 cnf(cls_self__append__conv2_0,axiom,
% 4.53/4.59 ( V_ys != c_List_Oappend(V_xs,V_ys,T_a)
% 4.53/4.59 | V_xs = c_List_Olist_ONil(T_a) ) ).
% 4.53/4.59
% 4.53/4.59 cnf(cls_append__self__conv2_0,axiom,
% 4.53/4.59 ( c_List_Oappend(V_xs,V_ys,T_a) != V_ys
% 4.53/4.59 | V_xs = c_List_Olist_ONil(T_a) ) ).
% 4.53/4.59
% 4.53/4.59 cnf(cls_self__append__conv_0,axiom,
% 4.53/4.59 ( V_xs != c_List_Oappend(V_xs,V_ys,T_a)
% 4.53/4.59 | V_ys = c_List_Olist_ONil(T_a) ) ).
% 4.53/4.59
% 4.53/4.59 cnf(cls_append__self__conv_0,axiom,
% 4.53/4.59 ( c_List_Oappend(V_xs,V_ys,T_a) != V_xs
% 4.53/4.59 | V_ys = c_List_Olist_ONil(T_a) ) ).
% 4.53/4.59
% 4.53/4.59 cnf(cls_set__append_0,axiom,
% 4.53/4.59 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)) ).
% 4.53/4.59
% 4.53/4.59 cnf(cls_append__is__Nil__conv_1,axiom,
% 4.53/4.59 ( c_List_Oappend(V_xs,V_ys,T_a) != c_List_Olist_ONil(T_a)
% 4.53/4.59 | V_ys = c_List_Olist_ONil(T_a) ) ).
% 4.53/4.59
% 4.53/4.59 cnf(cls_append__is__Nil__conv_0,axiom,
% 4.53/4.59 ( c_List_Oappend(V_xs,V_ys,T_a) != c_List_Olist_ONil(T_a)
% 4.53/4.59 | V_xs = c_List_Olist_ONil(T_a) ) ).
% 4.53/4.59
% 4.53/4.59 cnf(cls_Nil__is__append__conv_1,axiom,
% 4.53/4.59 ( c_List_Olist_ONil(T_a) != c_List_Oappend(V_xs,V_ys,T_a)
% 4.53/4.59 | V_ys = c_List_Olist_ONil(T_a) ) ).
% 4.53/4.59
% 4.53/4.59 cnf(cls_Nil__is__append__conv_0,axiom,
% 4.53/4.59 ( c_List_Olist_ONil(T_a) != c_List_Oappend(V_xs,V_ys,T_a)
% 4.53/4.59 | V_xs = c_List_Olist_ONil(T_a) ) ).
% 4.53/4.59
% 4.53/4.59 cnf(cls_append__in__lists__conv_2,axiom,
% 4.53/4.59 ( c_in(c_List_Oappend(V_xs,V_ys,T_a),c_List_Olists(V_A,T_a),tc_List_Olist(T_a))
% 4.53/4.59 | ~ c_in(V_ys,c_List_Olists(V_A,T_a),tc_List_Olist(T_a))
% 4.53/4.59 | ~ c_in(V_xs,c_List_Olists(V_A,T_a),tc_List_Olist(T_a)) ) ).
% 4.53/4.59
% 4.53/4.59 cnf(cls_self__append__conv2_1,axiom,
% 4.53/4.59 V_ys = c_List_Oappend(c_List_Olist_ONil(T_a),V_ys,T_a) ).
% 4.53/4.59
% 4.53/4.59 cnf(cls_append__Nil_0,axiom,
% 4.53/4.59 c_List_Oappend(c_List_Olist_ONil(T_a),V_ys,T_a) = V_ys ).
% 4.53/4.59
% 4.53/4.59 cnf(cls_self__append__conv_1,axiom,
% 4.53/4.59 V_xs = c_List_Oappend(V_xs,c_List_Olist_ONil(T_a),T_a) ).
% 4.53/4.59
% 4.53/4.59 cnf(cls_eq__Nil__appendI_0,axiom,
% 4.53/4.59 V_x = c_List_Oappend(c_List_Olist_ONil(T_a),V_x,T_a) ).
% 4.53/4.59
% 4.53/4.59 cnf(cls_append__Nil2_0,axiom,
% 4.53/4.59 c_List_Oappend(V_xs,c_List_Olist_ONil(T_a),T_a) = V_xs ).
% 4.53/4.59
% 4.53/4.59 cnf(cls_same__append__eq_0,axiom,
% 4.53/4.59 ( c_List_Oappend(V_xs,V_ys,T_a) != c_List_Oappend(V_xs,V_zs,T_a)
% 4.53/4.59 | V_ys = V_zs ) ).
% 4.53/4.59
% 4.53/4.59 cnf(cls_append__same__eq_0,axiom,
% 4.53/4.59 ( c_List_Oappend(V_ys,V_xs,T_a) != c_List_Oappend(V_zs,V_xs,T_a)
% 4.53/4.59 | V_ys = V_zs ) ).
% 4.53/4.59
% 4.53/4.59 cnf(cls_append__eq__Cons__conv_5,axiom,
% 4.53/4.59 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) ).
% 4.53/4.59
% 4.53/4.59 cnf(cls_append__Cons_0,axiom,
% 4.53/4.59 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) ).
% 4.53/4.59
% 4.53/4.59 cnf(cls_Cons__eq__append__conv_5,axiom,
% 4.53/4.59 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) ).
% 4.53/4.59
% 4.53/4.59 cnf(cls_Cons__eq__appendI_0,axiom,
% 4.53/4.59 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) ).
% 4.53/4.59
% 4.53/4.59 cnf(cls_Cons__eq__append__conv_4,axiom,
% 4.53/4.59 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) ).
% 4.53/4.59
% 4.53/4.59 cnf(cls_Nil__is__append__conv_2,axiom,
% 4.53/4.59 c_List_Olist_ONil(T_a) = c_List_Oappend(c_List_Olist_ONil(T_a),c_List_Olist_ONil(T_a),T_a) ).
% 4.53/4.59
% 4.53/4.59 cnf(cls_rev__append_0,axiom,
% 4.53/4.59 c_List_Orev(c_List_Oappend(V_xs,V_ys,T_a),T_a) = c_List_Oappend(c_List_Orev(V_ys,T_a),c_List_Orev(V_xs,T_a),T_a) ).
% 4.53/4.59
% 4.53/4.59 cnf(cls_in__set__conv__decomp__first_2,axiom,
% 4.53/4.59 ( 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)
% 4.53/4.59 | c_in(V_x,c_List_Oset(V_xa,T_a),T_a) ) ).
% 4.53/4.59
% 4.53/4.59 cnf(cls_in__set__conv__decomp__last_2,axiom,
% 4.53/4.59 ( 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)
% 4.53/4.59 | c_in(V_x,c_List_Oset(V_xb,T_a),T_a) ) ).
% 4.53/4.59
% 4.53/4.59 cnf(cls_in__set__conv__decomp_1,axiom,
% 4.53/4.59 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) ).
% 4.53/4.59
% 4.53/4.59 cnf(cls_rev_Osimps_I2_J_0,axiom,
% 4.53/4.59 c_List_Orev(c_List_Olist_OCons(V_x,V_xs,T_a),T_a) = c_List_Oappend(c_List_Orev(V_xs,T_a),c_List_Olist_OCons(V_x,c_List_Olist_ONil(T_a),T_a),T_a) ).
% 4.53/4.59
% 4.53/4.59 cnf(cls_rev__eq__Cons__iff_0,axiom,
% 4.53/4.59 ( c_List_Orev(V_xs,T_a) != c_List_Olist_OCons(V_y,V_ys,T_a)
% 4.53/4.59 | V_xs = c_List_Oappend(c_List_Orev(V_ys,T_a),c_List_Olist_OCons(V_y,c_List_Olist_ONil(T_a),T_a),T_a) ) ).
% 4.53/4.59
% 4.53/4.59 cnf(cls_rev__eq__Cons__iff_1,axiom,
% 4.53/4.59 c_List_Orev(c_List_Oappend(c_List_Orev(V_ys,T_a),c_List_Olist_OCons(V_y,c_List_Olist_ONil(T_a),T_a),T_a),T_a) = c_List_Olist_OCons(V_y,V_ys,T_a) ).
% 4.53/4.59
% 4.53/4.59 cnf(cls_spies__Says__rev_0,axiom,
% 4.53/4.59 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) ).
% 4.53/4.59
% 4.53/4.59 cnf(cls_spies__Notes__rev_1,axiom,
% 4.53/4.59 ( 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)
% 4.53/4.59 | c_in(V_A,c_Event_Obad,tc_Message_Oagent) ) ).
% 4.53/4.59
% 4.53/4.59 cnf(cls_set__empty2_0,axiom,
% 4.53/4.59 ( c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)) != c_List_Oset(V_xs,T_a)
% 4.53/4.59 | V_xs = c_List_Olist_ONil(T_a) ) ).
% 4.53/4.59
% 4.53/4.59 cnf(cls_sup1E_0,axiom,
% 4.53/4.59 ( hBOOL(hAPP(V_B,V_x))
% 4.53/4.59 | hBOOL(hAPP(V_A,V_x))
% 4.53/4.59 | ~ hBOOL(hAPP(c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_a,tc_bool)),V_x)) ) ).
% 4.53/4.59
% 4.53/4.59 cnf(cls_sup1CI_0,axiom,
% 4.53/4.59 ( hBOOL(hAPP(c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_a,tc_bool)),V_x))
% 4.53/4.59 | ~ hBOOL(hAPP(V_B,V_x)) ) ).
% 4.53/4.59
% 4.53/4.59 cnf(cls_sup1CI_1,axiom,
% 4.53/4.59 ( hBOOL(hAPP(c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_a,tc_bool)),V_x))
% 4.53/4.59 | ~ hBOOL(hAPP(V_A,V_x)) ) ).
% 4.53/4.59
% 4.53/4.59 cnf(cls_invKey__K_0,axiom,
% 4.53/4.59 ( c_Message_OinvKey(V_K) = V_K
% 4.53/4.59 | ~ c_in(V_K,c_Message_OsymKeys,tc_nat) ) ).
% 4.53/4.59
% 4.53/4.59 cnf(cls_sup__bot__right_0,axiom,
% 4.53/4.59 ( ~ class_Lattices_Obounded__lattice(T_a)
% 4.53/4.59 | c_Lattices_Oupper__semilattice__class_Osup(V_x,c_Orderings_Obot__class_Obot(T_a),T_a) = V_x ) ).
% 4.53/4.59
% 4.53/4.59 cnf(cls_sup__bot__left_0,axiom,
% 4.53/4.59 ( ~ class_Lattices_Obounded__lattice(T_a)
% 4.53/4.59 | c_Lattices_Oupper__semilattice__class_Osup(c_Orderings_Obot__class_Obot(T_a),V_x,T_a) = V_x ) ).
% 4.53/4.59
% 4.53/4.59 cnf(cls_Un__empty__left_0,axiom,
% 4.53/4.59 c_Lattices_Oupper__semilattice__class_Osup(c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),V_B,tc_fun(T_a,tc_bool)) = V_B ).
% 4.53/4.59
% 4.53/4.59 cnf(cls_Un__empty__right_0,axiom,
% 4.53/4.59 c_Lattices_Oupper__semilattice__class_Osup(V_A,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)) = V_A ).
% 4.53/4.59
% 4.53/4.59 cnf(cls_ns__sharedp_ONil_0,axiom,
% 4.53/4.59 c_NS__Shared__Mirabelle_Ons__sharedp(c_List_Olist_ONil(tc_Event_Oevent)) ).
% 4.53/4.59
% 4.53/4.59 cnf(cls_synth__Un_0,axiom,
% 4.53/4.59 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)) ).
% 4.53/4.59
% 4.53/4.59 cnf(cls_bot1E_0,axiom,
% 4.53/4.59 ~ hBOOL(hAPP(c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),V_x)) ).
% 4.53/4.59
% 4.53/4.59 cnf(cls_UNIV__not__empty_0,axiom,
% 4.53/4.59 c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_bool)) != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)) ).
% 4.53/4.59
% 4.53/4.59 cnf(cls_event_Osimps_I2_J_1,axiom,
% 4.53/4.59 ( c_Event_Oevent_OGets(V_agent,V_msg) != c_Event_Oevent_OGets(V_agent_H,V_msg_H)
% 4.53/4.59 | V_msg = V_msg_H ) ).
% 4.53/4.59
% 4.53/4.59 cnf(cls_event_Osimps_I2_J_0,axiom,
% 4.53/4.59 ( c_Event_Oevent_OGets(V_agent,V_msg) != c_Event_Oevent_OGets(V_agent_H,V_msg_H)
% 4.53/4.59 | V_agent = V_agent_H ) ).
% 4.53/4.59
% 4.53/4.59 cnf(cls_top1I_0,axiom,
% 4.53/4.59 hBOOL(hAPP(c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_bool)),V_x)) ).
% 4.53/4.59
% 4.53/4.59 cnf(cls_privateKey__notin__image__shrK_0,axiom,
% 4.53/4.59 ~ 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) ).
% 4.53/4.59
% 4.53/4.59 cnf(cls_equalityI_0,axiom,
% 4.53/4.59 ( V_A = V_B
% 4.53/4.59 | ~ c_lessequals(V_B,V_A,tc_fun(T_a,tc_bool))
% 4.53/4.59 | ~ c_lessequals(V_A,V_B,tc_fun(T_a,tc_bool)) ) ).
% 4.53/4.59
% 4.53/4.59 cnf(cls_set__eq__subset_2,axiom,
% 4.53/4.59 ( V_A = V_B
% 4.53/4.59 | ~ c_lessequals(V_B,V_A,tc_fun(T_a,tc_bool))
% 4.53/4.59 | ~ c_lessequals(V_A,V_B,tc_fun(T_a,tc_bool)) ) ).
% 4.53/4.59
% 4.53/4.59 cnf(cls_order__eq__iff_2,axiom,
% 4.53/4.59 ( ~ class_Orderings_Oorder(T_a)
% 4.53/4.59 | V_x = V_y
% 4.53/4.59 | ~ c_lessequals(V_y,V_x,T_a)
% 4.53/4.59 | ~ c_lessequals(V_x,V_y,T_a) ) ).
% 4.53/4.59
% 4.53/4.59 cnf(cls_order__antisym_0,axiom,
% 4.53/4.59 ( ~ class_Orderings_Oorder(T_a)
% 4.53/4.59 | V_x = V_y
% 4.53/4.59 | ~ c_lessequals(V_y,V_x,T_a)
% 4.53/4.59 | ~ c_lessequals(V_x,V_y,T_a) ) ).
% 4.53/4.59
% 4.53/4.59 cnf(cls_order__antisym__conv_0,axiom,
% 4.53/4.59 ( ~ class_Orderings_Oorder(T_a)
% 4.53/4.59 | V_x = V_y
% 4.53/4.59 | ~ c_lessequals(V_x,V_y,T_a)
% 4.53/4.59 | ~ c_lessequals(V_y,V_x,T_a) ) ).
% 4.53/4.59
% 4.53/4.59 cnf(cls_event_Osimps_I8_J_0,axiom,
% 4.53/4.59 c_Event_Oevent_OGets(V_agent,V_msg) != c_Event_Oevent_ONotes(V_agent_H,V_msg_H) ).
% 4.53/4.59
% 4.53/4.59 cnf(cls_sup__absorb1_0,axiom,
% 4.53/4.59 ( ~ class_Lattices_Oupper__semilattice(T_a)
% 4.53/4.59 | c_Lattices_Oupper__semilattice__class_Osup(V_x,V_y,T_a) = V_x
% 4.53/4.59 | ~ c_lessequals(V_y,V_x,T_a) ) ).
% 4.53/4.59
% 4.53/4.59 cnf(cls_le__iff__sup_1,axiom,
% 4.53/4.59 ( ~ class_Lattices_Oupper__semilattice(T_a)
% 4.53/4.59 | c_Lattices_Oupper__semilattice__class_Osup(V_x,V_y,T_a) != V_y
% 4.53/4.59 | c_lessequals(V_x,V_y,T_a) ) ).
% 4.53/4.59
% 4.53/4.59 cnf(cls_le__iff__sup_0,axiom,
% 4.53/4.59 ( ~ class_Lattices_Oupper__semilattice(T_a)
% 4.53/4.59 | c_Lattices_Oupper__semilattice__class_Osup(V_x,V_y,T_a) = V_y
% 4.53/4.59 | ~ c_lessequals(V_x,V_y,T_a) ) ).
% 4.53/4.59
% 4.53/4.59 cnf(cls_Un__absorb1_0,axiom,
% 4.53/4.59 ( c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_a,tc_bool)) = V_B
% 4.53/4.59 | ~ c_lessequals(V_A,V_B,tc_fun(T_a,tc_bool)) ) ).
% 4.53/4.59
% 4.53/4.59 cnf(cls_Un__absorb2_0,axiom,
% 4.53/4.59 ( c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_a,tc_bool)) = V_A
% 4.53/4.59 | ~ c_lessequals(V_B,V_A,tc_fun(T_a,tc_bool)) ) ).
% 4.53/4.59
% 4.53/4.59 cnf(cls_subset__Un__eq_1,axiom,
% 4.53/4.59 ( c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_a,tc_bool)) != V_B
% 4.53/4.59 | c_lessequals(V_A,V_B,tc_fun(T_a,tc_bool)) ) ).
% 4.53/4.59
% 4.53/4.59 cnf(cls_list_Osimps_I2_J_0,axiom,
% 4.53/4.59 c_List_Olist_ONil(T_a) != c_List_Olist_OCons(V_a_H,V_list_H,T_a) ).
% 4.53/4.59
% 4.53/4.59 cnf(cls_event_Osimps_I3_J_1,axiom,
% 4.53/4.59 ( c_Event_Oevent_ONotes(V_agent,V_msg) != c_Event_Oevent_ONotes(V_agent_H,V_msg_H)
% 4.53/4.59 | V_msg = V_msg_H ) ).
% 4.53/4.59
% 4.53/4.59 cnf(cls_event_Osimps_I3_J_0,axiom,
% 4.53/4.59 ( c_Event_Oevent_ONotes(V_agent,V_msg) != c_Event_Oevent_ONotes(V_agent_H,V_msg_H)
% 4.53/4.59 | V_agent = V_agent_H ) ).
% 4.53/4.59
% 4.53/4.59 cnf(cls_subset__empty_0,axiom,
% 4.53/4.59 ( V_A = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))
% 4.53/4.59 | ~ c_lessequals(V_A,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)) ) ).
% 4.53/4.59
% 4.53/4.59 cnf(cls_subset__empty_1,axiom,
% 4.53/4.59 c_lessequals(c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)) ).
% 4.53/4.59
% 4.53/4.59 cnf(cls_Crypt__imp__keysFor_0,axiom,
% 4.53/4.59 ( c_in(V_K,c_Message_OkeysFor(V_H),tc_nat)
% 4.53/4.59 | ~ c_in(V_K,c_Message_OsymKeys,tc_nat)
% 4.53/4.59 | ~ c_in(c_Message_Omsg_OCrypt(V_K,V_X),V_H,tc_Message_Omsg) ) ).
% 4.53/4.59
% 4.53/4.59 cnf(cls_rev__is__rev__conv_0,axiom,
% 4.53/4.59 ( c_List_Orev(V_xs,T_a) != c_List_Orev(V_ys,T_a)
% 4.53/4.59 | V_xs = V_ys ) ).
% 4.53/4.59
% 4.53/4.59 cnf(cls_msg_Osimps_I5_J_0,axiom,
% 4.53/4.59 ( c_Message_Omsg_OHash(V_msg) != c_Message_Omsg_OHash(V_msg_H)
% 4.53/4.59 | V_msg = V_msg_H ) ).
% 4.53/4.59
% 4.53/4.59 cnf(cls_set__subset__Cons_0,axiom,
% 4.53/4.59 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)) ).
% 4.53/4.59
% 4.53/4.59 cnf(cls_analz__image__freshK__simps_I57_J_0,axiom,
% 4.53/4.59 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) ).
% 4.53/4.59
% 4.53/4.59 cnf(cls_knows__Spy__subset__knows__Spy__Notes_0,axiom,
% 4.53/4.59 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)) ).
% 4.53/4.59
% 4.53/4.59 cnf(cls_Un__mono_0,axiom,
% 4.53/4.60 ( 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))
% 4.53/4.60 | ~ c_lessequals(V_B,V_D,tc_fun(T_a,tc_bool))
% 4.53/4.60 | ~ c_lessequals(V_A,V_C,tc_fun(T_a,tc_bool)) ) ).
% 4.53/4.60
% 4.53/4.60 cnf(cls_subset__UNIV_0,axiom,
% 4.53/4.60 c_lessequals(V_A,c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)) ).
% 4.53/4.60
% 4.53/4.60 cnf(cls_knows__imp__Says__Gets__Notes__initState_0,axiom,
% 4.53/4.60 ( c_in(V_X,c_Event_OinitState(V_A),tc_Message_Omsg)
% 4.53/4.60 | c_in(c_Event_Oevent_ONotes(V_A,V_X),c_List_Oset(V_evs,tc_Event_Oevent),tc_Event_Oevent)
% 4.53/4.60 | c_in(c_Event_Oevent_OGets(V_A,V_X),c_List_Oset(V_evs,tc_Event_Oevent),tc_Event_Oevent)
% 4.53/4.60 | 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)
% 4.53/4.60 | V_A = c_Message_Oagent_OSpy
% 4.53/4.60 | ~ c_in(V_X,c_Event_Oknows(V_A,V_evs),tc_Message_Omsg) ) ).
% 4.53/4.60
% 4.53/4.60 cnf(cls_spies__Notes__rev_0,axiom,
% 4.53/4.60 ( 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)
% 4.53/4.60 | ~ c_in(V_A,c_Event_Obad,tc_Message_Oagent) ) ).
% 4.53/4.60
% 4.53/4.60 cnf(cls_keysFor__insert__Number_0,axiom,
% 4.53/4.60 c_Message_OkeysFor(c_Set_Oinsert(c_Message_Omsg_ONumber(V_N),V_H,tc_Message_Omsg)) = c_Message_OkeysFor(V_H) ).
% 4.53/4.60
% 4.53/4.60 cnf(cls_symKeys__invKey__iff_1,axiom,
% 4.53/4.60 ( c_in(c_Message_OinvKey(V_K),c_Message_OsymKeys,tc_nat)
% 4.53/4.60 | ~ c_in(V_K,c_Message_OsymKeys,tc_nat) ) ).
% 4.53/4.60
% 4.53/4.60 cnf(cls_symKeys__invKey__iff_0,axiom,
% 4.53/4.60 ( c_in(V_K,c_Message_OsymKeys,tc_nat)
% 4.53/4.60 | ~ c_in(c_Message_OinvKey(V_K),c_Message_OsymKeys,tc_nat) ) ).
% 4.53/4.60
% 4.53/4.60 cnf(cls_synth__insert_0,axiom,
% 4.53/4.60 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)) ).
% 4.53/4.60
% 4.53/4.60 cnf(cls_rev__singleton__conv_0,axiom,
% 4.53/4.60 ( c_List_Orev(V_xs,T_a) != c_List_Olist_OCons(V_x,c_List_Olist_ONil(T_a),T_a)
% 4.53/4.60 | V_xs = c_List_Olist_OCons(V_x,c_List_Olist_ONil(T_a),T_a) ) ).
% 4.53/4.60
% 4.53/4.60 cnf(cls_used__Notes_0,axiom,
% 4.53/4.60 c_Event_Oused(c_List_Olist_OCons(c_Event_Oevent_ONotes(V_A,V_X),V_evs,tc_Event_Oevent)) = c_Lattices_Oupper__semilattice__class_Osup(c_Message_Oparts(c_Set_Oinsert(V_X,c_Orderings_Obot__class_Obot(tc_fun(tc_Message_Omsg,tc_bool)),tc_Message_Omsg)),c_Event_Oused(V_evs),tc_fun(tc_Message_Omsg,tc_bool)) ).
% 4.53/4.60
% 4.53/4.60 cnf(cls_analz__synth__Un_0,axiom,
% 4.53/4.60 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)) ).
% 4.53/4.60
% 4.53/4.60 cnf(cls_parts__Un__subset2_0,axiom,
% 4.53/4.60 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)) ).
% 4.53/4.60
% 4.53/4.60 cnf(cls_Un__UNIV__right_0,axiom,
% 4.53/4.60 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)) ).
% 4.53/4.60
% 4.53/4.60 cnf(cls_Un__UNIV__left_0,axiom,
% 4.53/4.60 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)) ).
% 4.53/4.60
% 4.53/4.60 cnf(cls_sup__top__left_0,axiom,
% 4.53/4.60 ( ~ class_Lattices_Obounded__lattice(T_a)
% 4.53/4.60 | c_Lattices_Oupper__semilattice__class_Osup(c_Orderings_Otop__class_Otop(T_a),V_x,T_a) = c_Orderings_Otop__class_Otop(T_a) ) ).
% 4.53/4.60
% 4.53/4.60 cnf(cls_sup__top__right_0,axiom,
% 4.53/4.60 ( ~ class_Lattices_Obounded__lattice(T_a)
% 4.53/4.60 | c_Lattices_Oupper__semilattice__class_Osup(V_x,c_Orderings_Otop__class_Otop(T_a),T_a) = c_Orderings_Otop__class_Otop(T_a) ) ).
% 4.53/4.60
% 4.53/4.60 cnf(cls_msg_Osimps_I2_J_0,axiom,
% 4.53/4.60 ( c_Message_Omsg_ONumber(V_nat) != c_Message_Omsg_ONumber(V_nat_H)
% 4.53/4.60 | V_nat = V_nat_H ) ).
% 4.53/4.60
% 4.53/4.60 cnf(cls_rev__rev__ident_0,axiom,
% 4.53/4.60 c_List_Orev(c_List_Orev(V_xs,T_a),T_a) = V_xs ).
% 4.53/4.60
% 4.53/4.60 cnf(cls_rev__swap_1,axiom,
% 4.53/4.60 c_List_Orev(c_List_Orev(V_ys,T_a),T_a) = V_ys ).
% 4.53/4.60
% 4.53/4.60 cnf(cls_rev__swap_0,axiom,
% 4.53/4.60 V_xs = c_List_Orev(c_List_Orev(V_xs,T_a),T_a) ).
% 4.53/4.60
% 4.53/4.60 cnf(cls_initState__subset__knows_0,axiom,
% 4.53/4.60 c_lessequals(c_Event_OinitState(V_A),c_Event_Oknows(V_A,V_evs),tc_fun(tc_Message_Omsg,tc_bool)) ).
% 4.53/4.60
% 4.53/4.60 cnf(cls_bot__least_0,axiom,
% 4.53/4.60 ( ~ class_Orderings_Obot(T_a)
% 4.53/4.60 | c_lessequals(c_Orderings_Obot__class_Obot(T_a),V_x,T_a) ) ).
% 4.53/4.60
% 4.53/4.60 cnf(cls_empty__subsetI_0,axiom,
% 4.53/4.60 c_lessequals(c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),V_A,tc_fun(T_a,tc_bool)) ).
% 4.53/4.60
% 4.53/4.60 cnf(cls_Number__synth_0,axiom,
% 4.53/4.60 c_in(c_Message_Omsg_ONumber(V_n),c_Message_Osynth(V_H),tc_Message_Omsg) ).
% 4.53/4.60
% 4.53/4.60 cnf(cls_privateKey__notin__image__publicKey_0,axiom,
% 4.53/4.60 ~ 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) ).
% 4.53/4.60
% 4.53/4.60 cnf(cls_synth__mono_0,axiom,
% 4.53/4.60 ( c_lessequals(c_Message_Osynth(V_G),c_Message_Osynth(V_H),tc_fun(tc_Message_Omsg,tc_bool))
% 4.53/4.60 | ~ c_lessequals(V_G,V_H,tc_fun(tc_Message_Omsg,tc_bool)) ) ).
% 4.53/4.60
% 4.53/4.60 cnf(cls_msg_Osimps_I25_J_0,axiom,
% 4.53/4.60 c_Message_Omsg_OHash(V_msg_H) != c_Message_Omsg_ONumber(V_nat) ).
% 4.53/4.60
% 4.53/4.60 cnf(cls_used__nil__subset_0,axiom,
% 4.53/4.60 c_lessequals(c_Event_Oused(c_List_Olist_ONil(tc_Event_Oevent)),c_Event_Oused(V_evs),tc_fun(tc_Message_Omsg,tc_bool)) ).
% 4.53/4.60
% 4.53/4.60 cnf(cls_empty__is__image_0,axiom,
% 4.53/4.60 ( c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)) != c_Set_Oimage(V_f,V_A,T_b,T_a)
% 4.53/4.60 | V_A = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_bool)) ) ).
% 4.53/4.60
% 4.53/4.60 cnf(cls_publicKey__image__eq_2,axiom,
% 4.53/4.60 ( 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)
% 4.53/4.60 | ~ c_in(V_xa,V_AA,tc_Message_Oagent) ) ).
% 4.53/4.60
% 4.53/4.60 cnf(cls_publicKey__image__eq_1,axiom,
% 4.53/4.60 ( c_in(V_x,V_AA,tc_Message_Oagent)
% 4.53/4.60 | ~ 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) ) ).
% 4.53/4.60
% 4.53/4.60 cnf(cls_publicKey__image__eq_0,axiom,
% 4.53/4.60 ( V_b = V_c
% 4.53/4.60 | ~ 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) ) ).
% 4.53/4.60
% 4.53/4.60 cnf(cls_invKey__eq_0,axiom,
% 4.53/4.60 ( c_Message_OinvKey(V_K) != c_Message_OinvKey(V_K_H)
% 4.53/4.60 | V_K = V_K_H ) ).
% 4.53/4.60
% 4.53/4.60 cnf(cls_image__subset__iff_0,axiom,
% 4.53/4.60 ( c_in(hAPP(V_f,V_x),V_B,T_a)
% 4.53/4.60 | ~ c_in(V_x,V_A,T_b)
% 4.53/4.60 | ~ c_lessequals(c_Set_Oimage(V_f,V_A,T_b,T_a),V_B,tc_fun(T_a,tc_bool)) ) ).
% 4.53/4.60
% 4.53/4.60 cnf(cls_privateKey__neq__publicKey_0,axiom,
% 4.53/4.60 c_Message_OinvKey(hAPP(c_Public_OpublicKey(V_b),V_A)) != hAPP(c_Public_OpublicKey(V_c),V_A_H) ).
% 4.53/4.60
% 4.53/4.60 cnf(cls_singleton__rev__conv_0,axiom,
% 4.53/4.60 ( c_List_Olist_OCons(V_x,c_List_Olist_ONil(T_a),T_a) != c_List_Orev(V_xs,T_a)
% 4.53/4.60 | V_xs = c_List_Olist_OCons(V_x,c_List_Olist_ONil(T_a),T_a) ) ).
% 4.53/4.60
% 4.53/4.60 cnf(cls_set__empty_1,axiom,
% 4.53/4.60 c_List_Oset(c_List_Olist_ONil(T_a),T_a) = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)) ).
% 4.53/4.60
% 4.53/4.60 cnf(cls_lists_ONil_0,axiom,
% 4.53/4.60 c_in(c_List_Olist_ONil(T_a),c_List_Olists(V_A,T_a),tc_List_Olist(T_a)) ).
% 4.53/4.60
% 4.53/4.60 cnf(cls_publicKey__notin__image__shrK_0,axiom,
% 4.53/4.60 ~ 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) ).
% 4.53/4.60
% 4.53/4.60 cnf(cls_Hash__synth_0,axiom,
% 4.53/4.60 ( c_in(V_X,c_Message_Osynth(V_H),tc_Message_Omsg)
% 4.53/4.60 | c_in(c_Message_Omsg_OHash(V_X),V_H,tc_Message_Omsg)
% 4.53/4.60 | ~ c_in(c_Message_Omsg_OHash(V_X),c_Message_Osynth(V_H),tc_Message_Omsg) ) ).
% 4.53/4.60
% 4.53/4.60 cnf(cls_Un__absorb_0,axiom,
% 4.53/4.60 c_Lattices_Oupper__semilattice__class_Osup(V_A,V_A,tc_fun(T_a,tc_bool)) = V_A ).
% 4.53/4.60
% 4.53/4.60 cnf(cls_sup__idem_0,axiom,
% 4.53/4.60 ( ~ class_Lattices_Oupper__semilattice(T_a)
% 4.53/4.60 | c_Lattices_Oupper__semilattice__class_Osup(V_x,V_x,T_a) = V_x ) ).
% 4.53/4.60
% 4.53/4.60 cnf(cls_analz__Un_0,axiom,
% 4.53/4.60 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)) ).
% 4.53/4.60
% 4.53/4.60 cnf(cls_publicKey__inject_1,axiom,
% 4.53/4.60 ( hAPP(c_Public_OpublicKey(V_b),V_A) != hAPP(c_Public_OpublicKey(V_c),V_A_H)
% 4.53/4.60 | V_A = V_A_H ) ).
% 4.53/4.60
% 4.53/4.60 cnf(cls_publicKey__inject_0,axiom,
% 4.53/4.60 ( hAPP(c_Public_OpublicKey(V_b),V_A) != hAPP(c_Public_OpublicKey(V_c),V_A_H)
% 4.53/4.60 | V_b = V_c ) ).
% 4.53/4.60
% 4.53/4.60 cnf(cls_parts__synth_0,axiom,
% 4.53/4.60 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)) ).
% 4.53/4.60
% 4.53/4.60 cnf(cls_parts__Un__subset1_0,axiom,
% 4.53/4.60 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)) ).
% 4.53/4.60
% 4.53/4.60 cnf(cls_rangeI_0,axiom,
% 4.53/4.60 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) ).
% 4.53/4.60
% 4.53/4.60 cnf(cls_synth__subset__iff_1,axiom,
% 4.53/4.60 ( c_lessequals(c_Message_Osynth(V_G),c_Message_Osynth(V_H),tc_fun(tc_Message_Omsg,tc_bool))
% 4.53/4.60 | ~ c_lessequals(V_G,c_Message_Osynth(V_H),tc_fun(tc_Message_Omsg,tc_bool)) ) ).
% 4.53/4.60
% 4.53/4.60 cnf(cls_synth__subset__iff_0,axiom,
% 4.53/4.60 ( c_lessequals(V_G,c_Message_Osynth(V_H),tc_fun(tc_Message_Omsg,tc_bool))
% 4.53/4.60 | ~ c_lessequals(c_Message_Osynth(V_G),c_Message_Osynth(V_H),tc_fun(tc_Message_Omsg,tc_bool)) ) ).
% 4.53/4.60
% 4.53/4.60 cnf(cls_msg_Osimps_I24_J_0,axiom,
% 4.53/4.60 c_Message_Omsg_ONumber(V_nat) != c_Message_Omsg_OHash(V_msg_H) ).
% 4.53/4.60
% 4.53/4.60 cnf(cls_image__empty_0,axiom,
% 4.53/4.60 c_Set_Oimage(V_f,c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_bool)),T_b,T_a) = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)) ).
% 4.53/4.60
% 4.53/4.60 cnf(cls_priK__in__initState_0,axiom,
% 4.53/4.60 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) ).
% 4.53/4.60
% 4.53/4.60 cnf(cls_Un__left__commute_0,axiom,
% 4.53/4.60 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)) ).
% 4.53/4.60
% 4.53/4.60 cnf(cls_Un__assoc_0,axiom,
% 4.53/4.60 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)) ).
% 4.53/4.60
% 4.53/4.60 cnf(cls_sup__assoc_0,axiom,
% 4.53/4.60 ( ~ class_Lattices_Oupper__semilattice(T_a)
% 4.53/4.60 | 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) ) ).
% 4.53/4.60
% 4.53/4.60 cnf(cls_sup__left__commute_0,axiom,
% 4.53/4.60 ( ~ class_Lattices_Oupper__semilattice(T_a)
% 4.53/4.60 | 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) ) ).
% 4.53/4.60
% 4.53/4.60 cnf(cls_analz__image__freshK__simps_I65_J_0,axiom,
% 4.53/4.60 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)) ).
% 4.53/4.60
% 4.53/4.60 cnf(cls_inf__sup__aci_I7_J_0,axiom,
% 4.53/4.60 ( ~ class_Lattices_Olattice(T_a)
% 4.53/4.60 | 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) ) ).
% 4.53/4.60
% 4.53/4.60 cnf(cls_inf__sup__aci_I6_J_0,axiom,
% 4.53/4.60 ( ~ class_Lattices_Olattice(T_a)
% 4.53/4.60 | 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) ) ).
% 4.53/4.60
% 4.53/4.60 cnf(cls_Un__subset__iff_2,axiom,
% 4.53/4.60 ( 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))
% 4.53/4.60 | ~ c_lessequals(V_B,V_C,tc_fun(T_a,tc_bool))
% 4.53/4.60 | ~ c_lessequals(V_A,V_C,tc_fun(T_a,tc_bool)) ) ).
% 4.53/4.60
% 4.53/4.60 cnf(cls_Un__upper2_0,axiom,
% 4.53/4.60 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)) ).
% 4.53/4.60
% 4.53/4.60 cnf(cls_Un__upper1_0,axiom,
% 4.53/4.60 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)) ).
% 4.53/4.60
% 4.53/4.60 cnf(cls_Un__least_0,axiom,
% 4.53/4.60 ( 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))
% 4.53/4.60 | ~ c_lessequals(V_B,V_C,tc_fun(T_a,tc_bool))
% 4.53/4.60 | ~ c_lessequals(V_A,V_C,tc_fun(T_a,tc_bool)) ) ).
% 4.53/4.60
% 4.53/4.60 cnf(cls_le__supI_0,axiom,
% 4.53/4.60 ( ~ class_Lattices_Oupper__semilattice(T_a)
% 4.53/4.60 | c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(V_a,V_b,T_a),V_x,T_a)
% 4.53/4.60 | ~ c_lessequals(V_b,V_x,T_a)
% 4.53/4.60 | ~ c_lessequals(V_a,V_x,T_a) ) ).
% 4.53/4.60
% 4.53/4.60 cnf(cls_sup__ge1_0,axiom,
% 4.53/4.60 ( ~ class_Lattices_Oupper__semilattice(T_a)
% 4.53/4.60 | c_lessequals(V_x,c_Lattices_Oupper__semilattice__class_Osup(V_x,V_y,T_a),T_a) ) ).
% 4.53/4.60
% 4.53/4.60 cnf(cls_sup__ge2_0,axiom,
% 4.53/4.60 ( ~ class_Lattices_Oupper__semilattice(T_a)
% 4.53/4.60 | c_lessequals(V_y,c_Lattices_Oupper__semilattice__class_Osup(V_x,V_y,T_a),T_a) ) ).
% 4.53/4.60
% 4.53/4.60 cnf(cls_sup__least_0,axiom,
% 4.53/4.60 ( ~ class_Lattices_Oupper__semilattice(T_a)
% 4.53/4.60 | c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(V_y,V_z,T_a),V_x,T_a)
% 4.53/4.60 | ~ c_lessequals(V_z,V_x,T_a)
% 4.53/4.60 | ~ c_lessequals(V_y,V_x,T_a) ) ).
% 4.53/4.60
% 4.53/4.60 cnf(cls_le__sup__iff_2,axiom,
% 4.53/4.60 ( ~ class_Lattices_Oupper__semilattice(T_a)
% 4.53/4.60 | c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(V_x,V_y,T_a),V_z,T_a)
% 4.53/4.60 | ~ c_lessequals(V_y,V_z,T_a)
% 4.53/4.60 | ~ c_lessequals(V_x,V_z,T_a) ) ).
% 4.53/4.60
% 4.53/4.60 cnf(cls_inf__sup__ord_I4_J_0,axiom,
% 4.53/4.60 ( ~ class_Lattices_Olattice(T_a)
% 4.53/4.60 | c_lessequals(V_y,c_Lattices_Oupper__semilattice__class_Osup(V_x,V_y,T_a),T_a) ) ).
% 4.53/4.60
% 4.53/4.60 cnf(cls_inf__sup__ord_I3_J_0,axiom,
% 4.53/4.60 ( ~ class_Lattices_Olattice(T_a)
% 4.53/4.60 | c_lessequals(V_x,c_Lattices_Oupper__semilattice__class_Osup(V_x,V_y,T_a),T_a) ) ).
% 4.53/4.60
% 4.53/4.60 cnf(cls_rev__singleton__conv_1,axiom,
% 4.53/4.60 c_List_Orev(c_List_Olist_OCons(V_x,c_List_Olist_ONil(T_a),T_a),T_a) = c_List_Olist_OCons(V_x,c_List_Olist_ONil(T_a),T_a) ).
% 4.53/4.60
% 4.53/4.60 cnf(cls_knows__subset__knows__Gets_0,axiom,
% 4.53/4.60 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)) ).
% 4.53/4.60
% 4.53/4.60 cnf(cls_knows__subset__knows__Cons_0,axiom,
% 4.53/4.60 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)) ).
% 4.53/4.60
% 4.53/4.60 cnf(cls_neq__Nil__conv_1,axiom,
% 4.53/4.60 c_List_Olist_OCons(V_x,V_xa,T_a) != c_List_Olist_ONil(T_a) ).
% 4.53/4.60
% 4.53/4.60 cnf(cls_list_Osimps_I3_J_0,axiom,
% 4.53/4.60 c_List_Olist_OCons(V_a_H,V_list_H,T_a) != c_List_Olist_ONil(T_a) ).
% 4.53/4.60
% 4.53/4.60 cnf(cls_Un__empty_1,axiom,
% 4.53/4.60 ( c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_a,tc_bool)) != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))
% 4.53/4.60 | V_B = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)) ) ).
% 4.53/4.60
% 4.53/4.60 cnf(cls_Un__empty_0,axiom,
% 4.53/4.60 ( c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_a,tc_bool)) != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))
% 4.53/4.60 | V_A = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)) ) ).
% 4.53/4.60
% 4.53/4.60 cnf(cls_sup__eq__bot__eq1_0,axiom,
% 4.53/4.60 ( ~ class_Lattices_Obounded__lattice(T_a)
% 4.53/4.60 | c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,T_a) != c_Orderings_Obot__class_Obot(T_a)
% 4.53/4.60 | V_A = c_Orderings_Obot__class_Obot(T_a) ) ).
% 4.53/4.60
% 4.53/4.60 cnf(cls_sup__eq__bot__eq2_0,axiom,
% 4.53/4.60 ( ~ class_Lattices_Obounded__lattice(T_a)
% 4.53/4.60 | c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,T_a) != c_Orderings_Obot__class_Obot(T_a)
% 4.53/4.60 | V_B = c_Orderings_Obot__class_Obot(T_a) ) ).
% 4.53/4.60
% 4.53/4.60 cnf(cls_Un__commute_0,axiom,
% 4.53/4.60 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)) ).
% 4.53/4.60
% 4.53/4.60 cnf(cls_sup__commute_0,axiom,
% 4.53/4.60 ( ~ class_Lattices_Oupper__semilattice(T_a)
% 4.53/4.60 | c_Lattices_Oupper__semilattice__class_Osup(V_x,V_y,T_a) = c_Lattices_Oupper__semilattice__class_Osup(V_y,V_x,T_a) ) ).
% 4.53/4.60
% 4.53/4.60 cnf(cls_inf__sup__aci_I5_J_0,axiom,
% 4.53/4.60 ( ~ class_Lattices_Olattice(T_a)
% 4.53/4.60 | c_Lattices_Oupper__semilattice__class_Osup(V_x,V_y,T_a) = c_Lattices_Oupper__semilattice__class_Osup(V_y,V_x,T_a) ) ).
% 4.53/4.60
% 4.53/4.60 cnf(cls_insert__is__Un_0,axiom,
% 4.53/4.60 c_Set_Oinsert(V_a,V_A,T_a) = c_Lattices_Oupper__semilattice__class_Osup(c_Set_Oinsert(V_a,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),V_A,tc_fun(T_a,tc_bool)) ).
% 4.53/4.60
% 4.53/4.60 cnf(cls_Un__left__absorb_0,axiom,
% 4.53/4.60 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)) ).
% 4.53/4.60
% 4.53/4.60 cnf(cls_sup__left__idem_0,axiom,
% 4.53/4.60 ( ~ class_Lattices_Oupper__semilattice(T_a)
% 4.53/4.60 | 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) ) ).
% 4.53/4.60
% 4.53/4.60 cnf(cls_inf__sup__aci_I8_J_0,axiom,
% 4.53/4.60 ( ~ class_Lattices_Olattice(T_a)
% 4.53/4.60 | 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) ) ).
% 4.53/4.60
% 4.53/4.60 cnf(cls_Crypt__imp__invKey__keysFor_0,axiom,
% 4.53/4.60 ( c_in(c_Message_OinvKey(V_K),c_Message_OkeysFor(V_H),tc_nat)
% 4.53/4.60 | ~ c_in(c_Message_Omsg_OCrypt(V_K,V_X),V_H,tc_Message_Omsg) ) ).
% 4.53/4.60
% 4.53/4.60 cnf(cls_synth__idem_0,axiom,
% 4.53/4.60 c_Message_Osynth(c_Message_Osynth(V_H)) = c_Message_Osynth(V_H) ).
% 4.53/4.60
% 4.53/4.60 cnf(cls_analz__synth_0,axiom,
% 4.53/4.60 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)) ).
% 4.53/4.60
% 4.53/4.60 cnf(cls_empty__is__image_1,axiom,
% 4.53/4.60 c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)) = c_Set_Oimage(V_f,c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_bool)),T_b,T_a) ).
% 4.53/4.61
% 4.53/4.61 cnf(cls_not__symKeys__pubK_0,axiom,
% 4.53/4.61 ~ c_in(hAPP(c_Public_OpublicKey(V_b),V_A),c_Message_OsymKeys,tc_nat) ).
% 4.53/4.61
% 4.53/4.61 cnf(cls_rev__is__Nil__conv_0,axiom,
% 4.53/4.61 ( c_List_Orev(V_xs,T_a) != c_List_Olist_ONil(T_a)
% 4.53/4.61 | V_xs = c_List_Olist_ONil(T_a) ) ).
% 4.53/4.61
% 4.53/4.61 cnf(cls_not__Cons__self2_0,axiom,
% 4.53/4.61 c_List_Olist_OCons(V_x,V_t,T_a) != V_t ).
% 4.53/4.61
% 4.53/4.61 cnf(cls_not__Cons__self_0,axiom,
% 4.53/4.61 V_xs != c_List_Olist_OCons(V_x,V_xs,T_a) ).
% 4.53/4.61
% 4.53/4.61 cnf(cls_singleton__rev__conv_1,axiom,
% 4.53/4.61 c_List_Olist_OCons(V_x,c_List_Olist_ONil(T_a),T_a) = c_List_Orev(c_List_Olist_OCons(V_x,c_List_Olist_ONil(T_a),T_a),T_a) ).
% 4.53/4.61
% 4.53/4.61 cnf(cls_synth__analz__mono_0,axiom,
% 4.53/4.61 ( 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))
% 4.53/4.61 | ~ c_lessequals(V_G,V_H,tc_fun(tc_Message_Omsg,tc_bool)) ) ).
% 4.53/4.61
% 4.53/4.61 cnf(cls_rev__is__Nil__conv_1,axiom,
% 4.53/4.61 c_List_Orev(c_List_Olist_ONil(T_a),T_a) = c_List_Olist_ONil(T_a) ).
% 4.53/4.61
% 4.53/4.61 cnf(cls_shrK__notin__image__publicKey_0,axiom,
% 4.53/4.61 ~ 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) ).
% 4.53/4.61
% 4.53/4.61 cnf(cls_privateKey__into__used_0,axiom,
% 4.53/4.61 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) ).
% 4.53/4.61
% 4.53/4.61 cnf(cls_le__funD_0,axiom,
% 4.53/4.61 ( ~ class_HOL_Oord(T_b)
% 4.53/4.61 | c_lessequals(hAPP(V_f,V_x),hAPP(V_g,V_x),T_b)
% 4.53/4.61 | ~ c_lessequals(V_f,V_g,tc_fun(T_a,T_b)) ) ).
% 4.53/4.61
% 4.53/4.61 cnf(cls_Key__not__used_0,axiom,
% 4.53/4.61 ( ~ 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)
% 4.53/4.61 | c_in(hAPP(c_Message_Omsg_OKey,V_K),c_Event_Oused(V_evs),tc_Message_Omsg) ) ).
% 4.53/4.61
% 4.53/4.61 cnf(cls_used__Says_0,axiom,
% 4.53/4.61 c_Event_Oused(c_List_Olist_OCons(c_Event_Oevent_OSays(V_A,V_B,V_X),V_evs,tc_Event_Oevent)) = c_Lattices_Oupper__semilattice__class_Osup(c_Message_Oparts(c_Set_Oinsert(V_X,c_Orderings_Obot__class_Obot(tc_fun(tc_Message_Omsg,tc_bool)),tc_Message_Omsg)),c_Event_Oused(V_evs),tc_fun(tc_Message_Omsg,tc_bool)) ).
% 4.53/4.61
% 4.53/4.61 cnf(cls_subset__iff_0,axiom,
% 4.53/4.61 ( c_in(V_t,V_B,T_a)
% 4.53/4.61 | ~ c_in(V_t,V_A,T_a)
% 4.53/4.61 | ~ c_lessequals(V_A,V_B,tc_fun(T_a,tc_bool)) ) ).
% 4.53/4.61
% 4.53/4.61 cnf(cls_top__greatest_0,axiom,
% 4.53/4.61 ( ~ class_Orderings_Otop(T_a)
% 4.53/4.61 | c_lessequals(V_x,c_Orderings_Otop__class_Otop(T_a),T_a) ) ).
% 4.53/4.61
% 4.53/4.61 cnf(cls_Nil__is__rev__conv_0,axiom,
% 4.53/4.61 ( c_List_Olist_ONil(T_a) != c_List_Orev(V_xs,T_a)
% 4.53/4.61 | V_xs = c_List_Olist_ONil(T_a) ) ).
% 4.53/4.61
% 4.53/4.61 cnf(cls_invKey_0,axiom,
% 4.53/4.61 c_Message_OinvKey(c_Message_OinvKey(V_K)) = V_K ).
% 4.53/4.61
% 4.53/4.61 cnf(cls_not__symKeys__priK_0,axiom,
% 4.53/4.61 ~ c_in(c_Message_OinvKey(hAPP(c_Public_OpublicKey(V_b),V_A)),c_Message_OsymKeys,tc_nat) ).
% 4.53/4.61
% 4.53/4.61 cnf(cls_event_Osimps_I9_J_0,axiom,
% 4.53/4.61 c_Event_Oevent_ONotes(V_agent_H,V_msg_H) != c_Event_Oevent_OGets(V_agent,V_msg) ).
% 4.53/4.61
% 4.53/4.61 cnf(cls_synth__trans_0,axiom,
% 4.53/4.61 ( c_in(V_X,c_Message_Osynth(V_H),tc_Message_Omsg)
% 4.53/4.61 | ~ c_lessequals(V_G,c_Message_Osynth(V_H),tc_fun(tc_Message_Omsg,tc_bool))
% 4.53/4.61 | ~ c_in(V_X,c_Message_Osynth(V_G),tc_Message_Omsg) ) ).
% 4.53/4.61
% 4.53/4.61 cnf(cls_synth__increasing_0,axiom,
% 4.53/4.61 c_lessequals(V_H,c_Message_Osynth(V_H),tc_fun(tc_Message_Omsg,tc_bool)) ).
% 4.53/4.61
% 4.53/4.61 cnf(cls_set__empty2_1,axiom,
% 4.53/4.61 c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)) = c_List_Oset(c_List_Olist_ONil(T_a),T_a) ).
% 4.53/4.61
% 4.53/4.61 cnf(cls_knows__Nil_0,axiom,
% 4.53/4.61 c_Event_Oknows(V_A,c_List_Olist_ONil(tc_Event_Oevent)) = c_Event_OinitState(V_A) ).
% 4.53/4.61
% 4.53/4.61 cnf(cls_le__sup__iff_1,axiom,
% 4.53/4.61 ( ~ class_Lattices_Oupper__semilattice(T_a)
% 4.53/4.61 | c_lessequals(V_y,V_z,T_a)
% 4.53/4.61 | ~ c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(V_x,V_y,T_a),V_z,T_a) ) ).
% 4.53/4.61
% 4.53/4.61 cnf(cls_le__sup__iff_0,axiom,
% 4.53/4.61 ( ~ class_Lattices_Oupper__semilattice(T_a)
% 4.53/4.61 | c_lessequals(V_x,V_z,T_a)
% 4.53/4.61 | ~ c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(V_x,V_y,T_a),V_z,T_a) ) ).
% 4.53/4.61
% 4.53/4.61 cnf(cls_le__supI2_0,axiom,
% 4.53/4.61 ( ~ class_Lattices_Oupper__semilattice(T_a)
% 4.53/4.61 | c_lessequals(V_x,c_Lattices_Oupper__semilattice__class_Osup(V_a,V_b,T_a),T_a)
% 4.53/4.61 | ~ c_lessequals(V_x,V_b,T_a) ) ).
% 4.53/4.61
% 4.53/4.61 cnf(cls_le__supI1_0,axiom,
% 4.53/4.61 ( ~ class_Lattices_Oupper__semilattice(T_a)
% 4.53/4.61 | c_lessequals(V_x,c_Lattices_Oupper__semilattice__class_Osup(V_a,V_b,T_a),T_a)
% 4.53/4.61 | ~ c_lessequals(V_x,V_a,T_a) ) ).
% 4.53/4.61
% 4.53/4.61 cnf(cls_le__supE_1,axiom,
% 4.53/4.61 ( ~ class_Lattices_Oupper__semilattice(T_a)
% 4.53/4.61 | c_lessequals(V_b,V_x,T_a)
% 4.53/4.61 | ~ c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(V_a,V_b,T_a),V_x,T_a) ) ).
% 4.53/4.61
% 4.53/4.61 cnf(cls_le__supE_0,axiom,
% 4.53/4.61 ( ~ class_Lattices_Oupper__semilattice(T_a)
% 4.53/4.61 | c_lessequals(V_a,V_x,T_a)
% 4.53/4.61 | ~ c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(V_a,V_b,T_a),V_x,T_a) ) ).
% 4.53/4.61
% 4.53/4.61 cnf(cls_Un__subset__iff_0,axiom,
% 4.53/4.61 ( c_lessequals(V_A,V_C,tc_fun(T_a,tc_bool))
% 4.53/4.61 | ~ 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)) ) ).
% 4.53/4.61
% 4.53/4.61 cnf(cls_Un__subset__iff_1,axiom,
% 4.53/4.61 ( c_lessequals(V_B,V_C,tc_fun(T_a,tc_bool))
% 4.53/4.61 | ~ 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)) ) ).
% 4.53/4.61
% 4.53/4.61 cnf(cls_xt1_I6_J_0,axiom,
% 4.53/4.61 ( ~ class_Orderings_Oorder(T_a)
% 4.53/4.61 | c_lessequals(V_z,V_x,T_a)
% 4.53/4.61 | ~ c_lessequals(V_z,V_y,T_a)
% 4.53/4.61 | ~ c_lessequals(V_y,V_x,T_a) ) ).
% 4.53/4.61
% 4.53/4.61 cnf(cls_order__trans_0,axiom,
% 4.53/4.61 ( ~ class_Orderings_Opreorder(T_a)
% 4.53/4.61 | c_lessequals(V_x,V_z,T_a)
% 4.53/4.61 | ~ c_lessequals(V_y,V_z,T_a)
% 4.53/4.61 | ~ c_lessequals(V_x,V_y,T_a) ) ).
% 4.53/4.61
% 4.53/4.61 cnf(cls_equalityE_0,axiom,
% 4.53/4.61 c_lessequals(V_x,V_x,tc_fun(T_a,tc_bool)) ).
% 4.53/4.61
% 4.53/4.61 cnf(cls_subset__refl_0,axiom,
% 4.53/4.61 c_lessequals(V_A,V_A,tc_fun(T_a,tc_bool)) ).
% 4.53/4.61
% 4.53/4.61 cnf(cls_subset__trans_0,axiom,
% 4.53/4.61 ( c_lessequals(V_A,V_C,tc_fun(T_a,tc_bool))
% 4.53/4.61 | ~ c_lessequals(V_B,V_C,tc_fun(T_a,tc_bool))
% 4.53/4.61 | ~ c_lessequals(V_A,V_B,tc_fun(T_a,tc_bool)) ) ).
% 4.53/4.61
% 4.53/4.61 cnf(cls_predicate1D_0,axiom,
% 4.53/4.61 ( hBOOL(hAPP(V_Q,V_x))
% 4.53/4.61 | ~ hBOOL(hAPP(V_P,V_x))
% 4.53/4.61 | ~ c_lessequals(V_P,V_Q,tc_fun(T_a,tc_bool)) ) ).
% 4.53/4.61
% 4.53/4.61 cnf(cls_order__eq__iff_0,axiom,
% 4.53/4.61 ( ~ class_Orderings_Oorder(T_a)
% 4.53/4.61 | c_lessequals(V_x,V_x,T_a) ) ).
% 4.53/4.61
% 4.53/4.61 cnf(cls_order__eq__refl_0,axiom,
% 4.53/4.61 ( ~ class_Orderings_Opreorder(T_a)
% 4.53/4.61 | c_lessequals(V_x,V_x,T_a) ) ).
% 4.53/4.61
% 4.53/4.61 cnf(cls_rev__predicate1D_0,axiom,
% 4.53/4.61 ( hBOOL(hAPP(V_Q,V_x))
% 4.53/4.61 | ~ c_lessequals(V_P,V_Q,tc_fun(T_a,tc_bool))
% 4.53/4.61 | ~ hBOOL(hAPP(V_P,V_x)) ) ).
% 4.53/4.61
% 4.53/4.61 cnf(cls_list_Oinject_0,axiom,
% 4.53/4.61 ( c_List_Olist_OCons(V_a,V_list,T_a) != c_List_Olist_OCons(V_a_H,V_list_H,T_a)
% 4.53/4.61 | V_a = V_a_H ) ).
% 4.53/4.61
% 4.53/4.61 cnf(cls_list_Oinject_1,axiom,
% 4.53/4.61 ( c_List_Olist_OCons(V_a,V_list,T_a) != c_List_Olist_OCons(V_a_H,V_list_H,T_a)
% 4.53/4.61 | V_list = V_list_H ) ).
% 4.53/4.61
% 4.53/4.61 cnf(cls_image__is__empty_0,axiom,
% 4.53/4.61 ( c_Set_Oimage(V_f,V_A,T_b,T_a) != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))
% 4.53/4.61 | V_A = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_bool)) ) ).
% 4.53/4.61
% 4.53/4.61 cnf(cls_knows__Spy__subset__knows__Spy__Gets_0,axiom,
% 4.53/4.61 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)) ).
% 4.53/4.61
% 4.53/4.61 cnf(cls_knows__subset__knows__Notes_0,axiom,
% 4.53/4.61 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)) ).
% 4.53/4.61
% 4.53/4.61 cnf(cls_priK__neq__shrK_0,axiom,
% 4.53/4.61 hAPP(c_Public_OshrK,V_A) != c_Message_OinvKey(hAPP(c_Public_OpublicKey(V_b),V_C)) ).
% 4.53/4.61
% 4.53/4.61 cnf(cls_keysFor__insert__Hash_0,axiom,
% 4.53/4.61 c_Message_OkeysFor(c_Set_Oinsert(c_Message_Omsg_OHash(V_X),V_H,tc_Message_Omsg)) = c_Message_OkeysFor(V_H) ).
% 4.53/4.61
% 4.53/4.61 cnf(cls_Nil__is__rev__conv_1,axiom,
% 4.53/4.61 c_List_Olist_ONil(T_a) = c_List_Orev(c_List_Olist_ONil(T_a),T_a) ).
% 4.53/4.61
% 4.53/4.61 cnf(cls_subset__singletonD_0,axiom,
% 4.53/4.61 ( V_A = c_Set_Oinsert(V_x,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a)
% 4.53/4.61 | V_A = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))
% 4.53/4.61 | ~ c_lessequals(V_A,c_Set_Oinsert(V_x,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),tc_fun(T_a,tc_bool)) ) ).
% 4.53/4.61
% 4.53/4.61 cnf(cls_image__mono_0,axiom,
% 4.53/4.61 ( 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))
% 4.53/4.61 | ~ c_lessequals(V_A,V_B,tc_fun(T_a,tc_bool)) ) ).
% 4.53/4.61
% 4.53/4.61 cnf(cls_subset__image__iff_2,axiom,
% 4.53/4.61 ( ~ c_lessequals(V_x,V_A,tc_fun(T_b,tc_bool))
% 4.53/4.61 | 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)) ) ).
% 4.53/4.61
% 4.53/4.61 cnf(cls_used__Gets_0,axiom,
% 4.53/4.61 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) ).
% 4.53/4.61
% 4.53/4.61 cnf(cls_Un__empty_2,axiom,
% 4.53/4.61 c_Lattices_Oupper__semilattice__class_Osup(c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)) = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)) ).
% 4.53/4.61
% 4.53/4.61 cnf(cls_set__empty_0,axiom,
% 4.53/4.61 ( c_List_Oset(V_xs,T_a) != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))
% 4.53/4.61 | V_xs = c_List_Olist_ONil(T_a) ) ).
% 4.53/4.61
% 4.53/4.61 cnf(cls_shrK__neq__priK_0,axiom,
% 4.53/4.61 c_Message_OinvKey(hAPP(c_Public_OpublicKey(V_b),V_C)) != hAPP(c_Public_OshrK,V_A) ).
% 4.53/4.61
% 4.53/4.61 cnf(cls_image__Un_0,axiom,
% 4.53/4.61 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)) ).
% 4.53/4.61
% 4.53/4.61 cnf(cls_synth_OHash_0,axiom,
% 4.53/4.61 ( c_in(c_Message_Omsg_OHash(V_X),c_Message_Osynth(V_H),tc_Message_Omsg)
% 4.53/4.61 | ~ c_in(V_X,c_Message_Osynth(V_H),tc_Message_Omsg) ) ).
% 4.53/4.61
% 4.53/4.61 cnf(cls_analz__subset__cong_0,axiom,
% 4.53/4.61 ( 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))
% 4.53/4.61 | ~ c_lessequals(c_Message_Oanalz(V_H),c_Message_Oanalz(V_H_H),tc_fun(tc_Message_Omsg,tc_bool))
% 4.53/4.61 | ~ c_lessequals(c_Message_Oanalz(V_G),c_Message_Oanalz(V_G_H),tc_fun(tc_Message_Omsg,tc_bool)) ) ).
% 4.53/4.61
% 4.53/4.61 cnf(cls_publicKey__neq__privateKey_0,axiom,
% 4.53/4.61 hAPP(c_Public_OpublicKey(V_c),V_A_H) != c_Message_OinvKey(hAPP(c_Public_OpublicKey(V_b),V_A)) ).
% 4.53/4.61
% 4.53/4.61 cnf(cls_sym__shrK_0,axiom,
% 4.53/4.61 c_in(hAPP(c_Public_OshrK,V_X),c_Message_OsymKeys,tc_nat) ).
% 4.53/4.61
% 4.53/4.61 cnf(cls_linorder__linear_0,axiom,
% 4.53/4.61 ( ~ class_Orderings_Olinorder(T_a)
% 4.53/4.61 | c_lessequals(V_y,V_x,T_a)
% 4.53/4.61 | c_lessequals(V_x,V_y,T_a) ) ).
% 4.53/4.61
% 4.53/4.61 cnf(cls_Hash__synth__analz_0,axiom,
% 4.53/4.61 ( c_in(c_Message_Omsg_OHash(c_Message_Omsg_OMPair(V_X,V_Y)),c_Message_Oanalz(V_H),tc_Message_Omsg)
% 4.53/4.61 | ~ c_in(c_Message_Omsg_OHash(c_Message_Omsg_OMPair(V_X,V_Y)),c_Message_Osynth(c_Message_Oanalz(V_H)),tc_Message_Omsg)
% 4.53/4.61 | c_in(V_X,c_Message_Osynth(c_Message_Oanalz(V_H)),tc_Message_Omsg) ) ).
% 4.53/4.61
% 4.53/4.61 cnf(cls_Hash__synth__analz_1,axiom,
% 4.53/4.61 ( c_in(c_Message_Omsg_OHash(c_Message_Omsg_OMPair(V_X,V_Y)),c_Message_Osynth(c_Message_Oanalz(V_H)),tc_Message_Omsg)
% 4.53/4.61 | ~ c_in(c_Message_Omsg_OHash(c_Message_Omsg_OMPair(V_X,V_Y)),c_Message_Oanalz(V_H),tc_Message_Omsg)
% 4.53/4.61 | c_in(V_X,c_Message_Osynth(c_Message_Oanalz(V_H)),tc_Message_Omsg) ) ).
% 4.53/4.61
% 4.53/4.61 cnf(cls_parts__insert__subset__Un_0,axiom,
% 4.53/4.61 ( 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))
% 4.53/4.61 | ~ c_in(V_X,V_G,tc_Message_Omsg) ) ).
% 4.53/4.61
% 4.53/4.61 cnf(cls_analz__image__freshK__lemma_5,axiom,
% 4.53/4.61 ( 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)
% 4.53/4.61 | ~ c_in(hAPP(c_Message_Omsg_OKey,V_K),c_Message_Oanalz(V_H),tc_Message_Omsg)
% 4.53/4.61 | ~ c_in(hAPP(c_Message_Omsg_OKey,V_K),c_Message_Oanalz(V_H),tc_Message_Omsg) ) ).
% 4.53/4.61
% 4.53/4.61 cnf(cls_analz__image__freshK__lemma_1,axiom,
% 4.53/4.61 ( 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)
% 4.53/4.61 | ~ c_in(hAPP(c_Message_Omsg_OKey,V_K),c_Message_Oanalz(V_H),tc_Message_Omsg)
% 4.53/4.61 | 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) ) ).
% 4.53/4.61
% 4.53/4.61 cnf(cls_analz__insert__Key_0,axiom,
% 4.53/4.61 ( 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)
% 4.53/4.61 | c_in(V_K,c_Message_OkeysFor(c_Message_Oanalz(V_H)),tc_nat) ) ).
% 4.53/4.61
% 4.53/4.61 cnf(cls_parts__insert__knows__A_0,axiom,
% 4.53/4.61 c_Message_Oparts(c_Set_Oinsert(V_X,c_Event_Oknows(V_A,V_evs),tc_Message_Omsg)) = c_Lattices_Oupper__semilattice__class_Osup(c_Message_Oparts(c_Set_Oinsert(V_X,c_Orderings_Obot__class_Obot(tc_fun(tc_Message_Omsg,tc_bool)),tc_Message_Omsg)),c_Message_Oparts(c_Event_Oknows(V_A,V_evs)),tc_fun(tc_Message_Omsg,tc_bool)) ).
% 4.53/4.61
% 4.53/4.61 cnf(cls_parts__knows__Spy__subset__used_0,axiom,
% 4.53/4.61 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)) ).
% 4.53/4.61
% 4.53/4.61 cnf(cls_parts__spies__evs__revD2_0,axiom,
% 4.53/4.61 c_lessequals(c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,c_List_Orev(V_evs,tc_Event_Oevent))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,V_evs)),tc_fun(tc_Message_Omsg,tc_bool)) ).
% 4.53/4.61
% 4.53/4.61 cnf(cls_knows__Gets_0,axiom,
% 4.53/4.61 ( 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)
% 4.53/4.61 | V_A = c_Message_Oagent_OSpy ) ).
% 4.53/4.61
% 4.53/4.61 cnf(cls_knows__Spy__subset__knows__Spy__Says_0,axiom,
% 4.53/4.61 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)) ).
% 4.53/4.61
% 4.53/4.61 cnf(cls_Notes__imp__used_0,axiom,
% 4.53/4.61 ( c_in(V_X,c_Event_Oused(V_evs),tc_Message_Omsg)
% 4.53/4.61 | ~ c_in(c_Event_Oevent_ONotes(V_A,V_X),c_List_Oset(V_evs,tc_Event_Oevent),tc_Event_Oevent) ) ).
% 4.53/4.61
% 4.53/4.61 cnf(cls_ns__sharedp_OFake_0,axiom,
% 4.53/4.61 ( 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))
% 4.53/4.61 | ~ c_in(V_X,c_Message_Osynth(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,V_evsf))),tc_Message_Omsg)
% 4.53/4.61 | ~ c_NS__Shared__Mirabelle_Ons__sharedp(V_evsf) ) ).
% 4.53/4.61
% 4.53/4.61 cnf(cls_new__keys__not__used_0,axiom,
% 4.53/4.61 ( ~ c_in(V_K,c_Message_OkeysFor(c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,V_evs))),tc_nat)
% 4.53/4.61 | ~ c_in(V_evs,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))
% 4.53/4.61 | ~ c_in(V_K,c_Message_OsymKeys,tc_nat)
% 4.53/4.61 | c_in(hAPP(c_Message_Omsg_OKey,V_K),c_Event_Oused(V_evs),tc_Message_Omsg) ) ).
% 4.53/4.61
% 4.53/4.61 cnf(cls_subset__insert_0,axiom,
% 4.53/4.61 ( c_lessequals(V_A,V_B,tc_fun(T_a,tc_bool))
% 4.53/4.61 | ~ c_lessequals(V_A,c_Set_Oinsert(V_x,V_B,T_a),tc_fun(T_a,tc_bool))
% 4.53/4.61 | c_in(V_x,V_A,T_a) ) ).
% 4.53/4.61
% 4.53/4.61 cnf(cls_subset__insert_1,axiom,
% 4.53/4.61 ( c_lessequals(V_A,c_Set_Oinsert(V_x,V_B,T_a),tc_fun(T_a,tc_bool))
% 4.53/4.61 | ~ c_lessequals(V_A,V_B,tc_fun(T_a,tc_bool))
% 4.53/4.61 | c_in(V_x,V_A,T_a) ) ).
% 4.53/4.61
% 4.53/4.61 cnf(cls_subset__insert__iff_1,axiom,
% 4.53/4.61 ( c_lessequals(V_A,V_B,tc_fun(T_a,tc_bool))
% 4.53/4.61 | c_in(V_x,V_A,T_a)
% 4.53/4.61 | ~ c_lessequals(V_A,c_Set_Oinsert(V_x,V_B,T_a),tc_fun(T_a,tc_bool)) ) ).
% 4.53/4.61
% 4.53/4.61 cnf(cls_subset__insert__iff_2,axiom,
% 4.53/4.61 ( c_lessequals(V_A,c_Set_Oinsert(V_x,V_B,T_a),tc_fun(T_a,tc_bool))
% 4.53/4.61 | ~ c_lessequals(V_A,V_B,tc_fun(T_a,tc_bool))
% 4.53/4.61 | c_in(V_x,V_A,T_a) ) ).
% 4.53/4.61
% 4.53/4.61 cnf(cls_insert__image_0,axiom,
% 4.53/4.61 ( 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)
% 4.53/4.61 | ~ c_in(V_x,V_A,T_a) ) ).
% 4.53/4.61
% 4.53/4.61 cnf(cls_insert__subset_0,axiom,
% 4.53/4.61 ( c_in(V_x,V_B,T_a)
% 4.53/4.61 | ~ c_lessequals(c_Set_Oinsert(V_x,V_A,T_a),V_B,tc_fun(T_a,tc_bool)) ) ).
% 4.53/4.61
% 4.53/4.61 cnf(cls_comm__monoid__add_Ononempty__iff_2,axiom,
% 4.53/4.61 ( c_Set_Oinsert(V_x,V_xa,T_a) != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))
% 4.53/4.61 | c_in(V_x,V_xa,T_a) ) ).
% 4.53/4.61
% 4.53/4.61 cnf(cls_singletonE_0,axiom,
% 4.53/4.61 ( V_b = V_a
% 4.53/4.61 | ~ c_in(V_b,c_Set_Oinsert(V_a,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),T_a) ) ).
% 4.53/4.61
% 4.53/4.61 cnf(cls_insert__subset_2,axiom,
% 4.53/4.61 ( c_lessequals(c_Set_Oinsert(V_x,V_A,T_a),V_B,tc_fun(T_a,tc_bool))
% 4.53/4.61 | ~ c_lessequals(V_A,V_B,tc_fun(T_a,tc_bool))
% 4.53/4.61 | ~ c_in(V_x,V_B,T_a) ) ).
% 4.53/4.61
% 4.53/4.61 cnf(cls_singleton__iff_1,axiom,
% 4.53/4.61 c_in(V_x,c_Set_Oinsert(V_x,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),T_a) ).
% 4.53/4.61
% 4.53/4.61 cnf(cls_set__ConsD_0,axiom,
% 4.53/4.61 ( c_in(V_y,c_List_Oset(V_xs,T_a),T_a)
% 4.53/4.61 | V_y = V_x
% 4.53/4.61 | ~ c_in(V_y,c_List_Oset(c_List_Olist_OCons(V_x,V_xs,T_a),T_a),T_a) ) ).
% 4.53/4.61
% 4.53/4.61 cnf(cls_MPair__synth_0,axiom,
% 4.53/4.61 ( c_in(V_X,c_Message_Osynth(V_H),tc_Message_Omsg)
% 4.53/4.61 | c_in(c_Message_Omsg_OMPair(V_X,V_Y),V_H,tc_Message_Omsg)
% 4.53/4.61 | ~ c_in(c_Message_Omsg_OMPair(V_X,V_Y),c_Message_Osynth(V_H),tc_Message_Omsg) ) ).
% 4.53/4.61
% 4.53/4.61 cnf(cls_MPair__synth_1,axiom,
% 4.53/4.61 ( c_in(V_Y,c_Message_Osynth(V_H),tc_Message_Omsg)
% 4.53/4.61 | c_in(c_Message_Omsg_OMPair(V_X,V_Y),V_H,tc_Message_Omsg)
% 4.53/4.61 | ~ c_in(c_Message_Omsg_OMPair(V_X,V_Y),c_Message_Osynth(V_H),tc_Message_Omsg) ) ).
% 4.53/4.61
% 4.53/4.61 cnf(cls_synth_OMPair_0,axiom,
% 4.53/4.61 ( c_in(c_Message_Omsg_OMPair(V_X,V_Y),c_Message_Osynth(V_H),tc_Message_Omsg)
% 4.53/4.61 | ~ c_in(V_Y,c_Message_Osynth(V_H),tc_Message_Omsg)
% 4.53/4.61 | ~ c_in(V_X,c_Message_Osynth(V_H),tc_Message_Omsg) ) ).
% 4.53/4.61
% 4.53/4.61 cnf(cls_MPair__used_0,axiom,
% 4.53/4.61 ( c_in(V_X,c_Event_Oused(V_H),tc_Message_Omsg)
% 4.53/4.61 | ~ c_in(c_Message_Omsg_OMPair(V_X,V_Y),c_Event_Oused(V_H),tc_Message_Omsg) ) ).
% 4.53/4.61
% 4.53/4.61 cnf(cls_MPair__used_1,axiom,
% 4.53/4.61 ( c_in(V_Y,c_Event_Oused(V_H),tc_Message_Omsg)
% 4.53/4.61 | ~ c_in(c_Message_Omsg_OMPair(V_X,V_Y),c_Event_Oused(V_H),tc_Message_Omsg) ) ).
% 4.53/4.61
% 4.53/4.61 cnf(cls_List_Oset_Osimps_I2_J_0,axiom,
% 4.53/4.61 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) ).
% 4.53/4.61
% 4.53/4.61 cnf(cls_parts__emptyE_0,axiom,
% 4.53/4.61 ~ c_in(V_X,c_Message_Oparts(c_Orderings_Obot__class_Obot(tc_fun(tc_Message_Omsg,tc_bool))),tc_Message_Omsg) ).
% 4.53/4.61
% 4.53/4.61 cnf(cls_in__parts__UnE_0,axiom,
% 4.53/4.61 ( c_in(V_c,c_Message_Oparts(V_H),tc_Message_Omsg)
% 4.53/4.61 | c_in(V_c,c_Message_Oparts(V_G),tc_Message_Omsg)
% 4.53/4.61 | ~ 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) ) ).
% 4.53/4.61
% 4.53/4.61 cnf(cls_parts__trans_0,axiom,
% 4.53/4.61 ( c_in(V_X,c_Message_Oparts(V_H),tc_Message_Omsg)
% 4.53/4.61 | ~ c_lessequals(V_G,c_Message_Oparts(V_H),tc_fun(tc_Message_Omsg,tc_bool))
% 4.53/4.61 | ~ c_in(V_X,c_Message_Oparts(V_G),tc_Message_Omsg) ) ).
% 4.53/4.61
% 4.53/4.61 cnf(cls_Crypt__synth_0,axiom,
% 4.53/4.61 ( c_in(V_X,c_Message_Osynth(V_H),tc_Message_Omsg)
% 4.53/4.61 | c_in(c_Message_Omsg_OCrypt(V_K,V_X),V_H,tc_Message_Omsg)
% 4.53/4.61 | ~ c_in(c_Message_Omsg_OCrypt(V_K,V_X),c_Message_Osynth(V_H),tc_Message_Omsg) ) ).
% 4.53/4.61
% 4.53/4.61 cnf(cls_Key__synth_0,axiom,
% 4.53/4.61 ( c_in(hAPP(c_Message_Omsg_OKey,V_K),V_H,tc_Message_Omsg)
% 4.53/4.61 | ~ c_in(hAPP(c_Message_Omsg_OKey,V_K),c_Message_Osynth(V_H),tc_Message_Omsg) ) ).
% 4.53/4.61
% 4.53/4.61 cnf(cls_Key__synth__eq_1,axiom,
% 4.53/4.61 ( c_in(hAPP(c_Message_Omsg_OKey,V_K),c_Message_Osynth(V_H),tc_Message_Omsg)
% 4.53/4.61 | ~ c_in(hAPP(c_Message_Omsg_OKey,V_K),V_H,tc_Message_Omsg) ) ).
% 4.53/4.61
% 4.53/4.61 cnf(cls_analz__image__freshK__simps_I61_J_0,axiom,
% 4.53/4.61 ( 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)
% 4.53/4.61 | ~ c_in(V_c,c_Message_Oanalz(V_G),tc_Message_Omsg) ) ).
% 4.53/4.61
% 4.53/4.61 cnf(cls_analz__trans_0,axiom,
% 4.53/4.61 ( c_in(V_X,c_Message_Oanalz(V_H),tc_Message_Omsg)
% 4.53/4.61 | ~ c_lessequals(V_G,c_Message_Oanalz(V_H),tc_fun(tc_Message_Omsg,tc_bool))
% 4.53/4.61 | ~ c_in(V_X,c_Message_Oanalz(V_G),tc_Message_Omsg) ) ).
% 4.53/4.61
% 4.53/4.61 cnf(cls_synth__cut_0,axiom,
% 4.53/4.61 ( c_in(V_Y,c_Message_Osynth(V_H),tc_Message_Omsg)
% 4.53/4.61 | ~ c_in(V_X,c_Message_Osynth(V_H),tc_Message_Omsg)
% 4.53/4.61 | ~ c_in(V_Y,c_Message_Osynth(c_Set_Oinsert(V_X,V_H,tc_Message_Omsg)),tc_Message_Omsg) ) ).
% 4.53/4.61
% 4.53/4.61 cnf(cls_Crypt__synth__analz_0,axiom,
% 4.53/4.61 ( c_in(V_X,c_Message_Osynth(c_Message_Oanalz(V_H)),tc_Message_Omsg)
% 4.53/4.61 | ~ c_in(c_Message_Omsg_OCrypt(V_K,V_X),c_Message_Osynth(c_Message_Oanalz(V_H)),tc_Message_Omsg)
% 4.53/4.61 | ~ c_in(hAPP(c_Message_Omsg_OKey,c_Message_OinvKey(V_K)),c_Message_Oanalz(V_H),tc_Message_Omsg)
% 4.53/4.61 | ~ c_in(hAPP(c_Message_Omsg_OKey,V_K),c_Message_Oanalz(V_H),tc_Message_Omsg) ) ).
% 4.53/4.61
% 4.53/4.61 cnf(cls_Crypt__synth__analz_1,axiom,
% 4.53/4.61 ( c_in(c_Message_Omsg_OCrypt(V_K,V_X),c_Message_Osynth(c_Message_Oanalz(V_H)),tc_Message_Omsg)
% 4.53/4.61 | ~ c_in(V_X,c_Message_Osynth(c_Message_Oanalz(V_H)),tc_Message_Omsg)
% 4.53/4.61 | ~ c_in(hAPP(c_Message_Omsg_OKey,c_Message_OinvKey(V_K)),c_Message_Oanalz(V_H),tc_Message_Omsg)
% 4.53/4.61 | ~ c_in(hAPP(c_Message_Omsg_OKey,V_K),c_Message_Oanalz(V_H),tc_Message_Omsg) ) ).
% 4.53/4.61
% 4.53/4.61 cnf(cls_analz__Decrypt_H_0,axiom,
% 4.53/4.61 ( c_in(V_X,c_Message_Oanalz(V_H),tc_Message_Omsg)
% 4.53/4.61 | ~ c_in(hAPP(c_Message_Omsg_OKey,V_K),c_Message_Oanalz(V_H),tc_Message_Omsg)
% 4.53/4.61 | ~ c_in(V_K,c_Message_OsymKeys,tc_nat)
% 4.53/4.61 | ~ c_in(c_Message_Omsg_OCrypt(V_K,V_X),c_Message_Oanalz(V_H),tc_Message_Omsg) ) ).
% 4.53/4.61
% 4.53/4.61 cnf(cls_Fake__parts__insert__in__Un_0,axiom,
% 4.53/4.61 ( 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)
% 4.53/4.61 | ~ c_in(V_X,c_Message_Osynth(c_Message_Oanalz(V_H)),tc_Message_Omsg)
% 4.53/4.61 | ~ c_in(V_Z,c_Message_Oparts(c_Set_Oinsert(V_X,V_H,tc_Message_Omsg)),tc_Message_Omsg) ) ).
% 4.53/4.61
% 4.53/4.61 cnf(cls_parts__image__Key_0,axiom,
% 4.53/4.61 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) ).
% 4.53/4.61
% 4.53/4.61 cnf(cls_keysFor__insert__MPair_0,axiom,
% 4.53/4.61 c_Message_OkeysFor(c_Set_Oinsert(c_Message_Omsg_OMPair(V_X,V_Y),V_H,tc_Message_Omsg)) = c_Message_OkeysFor(V_H) ).
% 4.53/4.61
% 4.53/4.61 cnf(cls_analz__subset__parts_0,axiom,
% 4.53/4.61 c_lessequals(c_Message_Oanalz(V_H),c_Message_Oparts(V_H),tc_fun(tc_Message_Omsg,tc_bool)) ).
% 4.53/4.61
% 4.53/4.61 cnf(cls_Agent__synth_0,axiom,
% 4.53/4.61 c_in(c_Message_Omsg_OAgent(V_A),c_Message_Osynth(V_H),tc_Message_Omsg) ).
% 4.53/4.61
% 4.53/4.61 cnf(cls_synth_OAgent_0,axiom,
% 4.53/4.61 c_in(c_Message_Omsg_OAgent(V_agt),c_Message_Osynth(V_H),tc_Message_Omsg) ).
% 4.53/4.61
% 4.53/4.61 cnf(cls_synth__analz__insert__eq_0,axiom,
% 4.53/4.61 ( c_in(hAPP(c_Message_Omsg_OKey,V_K),c_Message_Oanalz(V_G),tc_Message_Omsg)
% 4.53/4.61 | ~ 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)
% 4.53/4.61 | ~ c_lessequals(V_H,V_G,tc_fun(tc_Message_Omsg,tc_bool))
% 4.53/4.61 | ~ c_in(V_X,c_Message_Osynth(c_Message_Oanalz(V_H)),tc_Message_Omsg) ) ).
% 4.53/4.61
% 4.53/4.61 cnf(cls_synth__analz__insert__eq_1,axiom,
% 4.53/4.61 ( 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)
% 4.53/4.61 | ~ c_in(hAPP(c_Message_Omsg_OKey,V_K),c_Message_Oanalz(V_G),tc_Message_Omsg)
% 4.53/4.61 | ~ c_lessequals(V_H,V_G,tc_fun(tc_Message_Omsg,tc_bool))
% 4.53/4.61 | ~ c_in(V_X,c_Message_Osynth(c_Message_Oanalz(V_H)),tc_Message_Omsg) ) ).
% 4.53/4.61
% 4.53/4.61 cnf(cls_parts__insert__Number_0,axiom,
% 4.53/4.61 c_Message_Oparts(c_Set_Oinsert(c_Message_Omsg_ONumber(V_N),V_H,tc_Message_Omsg)) = c_Set_Oinsert(c_Message_Omsg_ONumber(V_N),c_Message_Oparts(V_H),tc_Message_Omsg) ).
% 4.53/4.61
% 4.53/4.61 cnf(cls_parts__insert__Hash_0,axiom,
% 4.53/4.61 c_Message_Oparts(c_Set_Oinsert(c_Message_Omsg_OHash(V_X),V_H,tc_Message_Omsg)) = c_Set_Oinsert(c_Message_Omsg_OHash(V_X),c_Message_Oparts(V_H),tc_Message_Omsg) ).
% 4.53/4.61
% 4.53/4.61 cnf(cls_set__rev__mp_0,axiom,
% 4.53/4.61 ( c_in(V_x,V_B,T_a)
% 4.53/4.61 | ~ c_lessequals(V_A,V_B,tc_fun(T_a,tc_bool))
% 4.53/4.61 | ~ c_in(V_x,V_A,T_a) ) ).
% 4.53/4.61
% 4.53/4.61 cnf(cls_subsetD_0,axiom,
% 4.53/4.61 ( c_in(V_c,V_B,T_a)
% 4.53/4.61 | ~ c_in(V_c,V_A,T_a)
% 4.53/4.61 | ~ c_lessequals(V_A,V_B,tc_fun(T_a,tc_bool)) ) ).
% 4.53/4.61
% 4.53/4.61 cnf(cls_set__mp_0,axiom,
% 4.53/4.61 ( c_in(V_x,V_B,T_a)
% 4.53/4.61 | ~ c_in(V_x,V_A,T_a)
% 4.53/4.61 | ~ c_lessequals(V_A,V_B,tc_fun(T_a,tc_bool)) ) ).
% 4.53/4.61
% 4.53/4.61 cnf(cls_UnCI_1,axiom,
% 4.53/4.61 ( c_in(V_c,c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_a,tc_bool)),T_a)
% 4.53/4.61 | ~ c_in(V_c,V_A,T_a) ) ).
% 4.53/4.61
% 4.53/4.61 cnf(cls_UnCI_0,axiom,
% 4.53/4.61 ( c_in(V_c,c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_a,tc_bool)),T_a)
% 4.53/4.61 | ~ c_in(V_c,V_B,T_a) ) ).
% 4.53/4.61
% 4.53/4.61 cnf(cls_ex__in__conv_0,axiom,
% 4.53/4.61 ~ c_in(V_x,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a) ).
% 4.53/4.61
% 4.53/4.61 cnf(cls_ball__empty_0,axiom,
% 4.53/4.61 ( hBOOL(hAPP(V_P,V_x))
% 4.53/4.61 | ~ c_in(V_x,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a) ) ).
% 4.53/4.61
% 4.53/4.61 cnf(cls_empty__iff_0,axiom,
% 4.53/4.61 ~ c_in(V_c,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a) ).
% 4.53/4.61
% 4.53/4.61 cnf(cls_emptyE_0,axiom,
% 4.53/4.61 ~ c_in(V_a,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a) ).
% 4.53/4.61
% 4.53/4.61 cnf(cls_UnE_0,axiom,
% 4.53/4.61 ( c_in(V_c,V_B,T_a)
% 4.53/4.61 | c_in(V_c,V_A,T_a)
% 4.53/4.61 | ~ c_in(V_c,c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_a,tc_bool)),T_a) ) ).
% 4.53/4.61
% 4.53/4.61 cnf(cls_UNIV__I_0,axiom,
% 4.53/4.61 c_in(V_x,c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_bool)),T_a) ).
% 4.53/4.61
% 4.53/4.61 cnf(cls_bex__empty_0,axiom,
% 4.53/4.61 ( ~ hBOOL(hAPP(V_P,V_x))
% 4.53/4.61 | ~ c_in(V_x,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a) ) ).
% 4.53/4.61
% 4.53/4.61 cnf(cls_rev__image__eqI_0,axiom,
% 4.53/4.61 ( ~ c_in(V_x,V_A,T_aa)
% 4.53/4.61 | c_in(hAPP(V_f,V_x),c_Set_Oimage(V_f,V_A,T_aa,T_a),T_a) ) ).
% 4.53/4.61
% 4.53/4.61 cnf(cls_image__iff_2,axiom,
% 4.53/4.61 ( ~ c_in(V_x,V_A,T_b)
% 4.53/4.61 | c_in(hAPP(V_f,V_x),c_Set_Oimage(V_f,V_A,T_b,T_a),T_a) ) ).
% 4.53/4.61
% 4.53/4.61 cnf(cls_image__eqI_0,axiom,
% 4.53/4.61 ( c_in(hAPP(V_f,V_x),c_Set_Oimage(V_f,V_A,T_b,T_a),T_a)
% 4.53/4.61 | ~ c_in(V_x,V_A,T_b) ) ).
% 4.53/4.61
% 4.53/4.61 cnf(cls_imageI_0,axiom,
% 4.53/4.61 ( c_in(hAPP(V_f,V_x),c_Set_Oimage(V_f,V_A,T_a,T_b),T_b)
% 4.53/4.61 | ~ c_in(V_x,V_A,T_a) ) ).
% 4.53/4.61
% 4.53/4.61 cnf(cls_insert__mono_0,axiom,
% 4.53/4.61 ( 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))
% 4.53/4.61 | ~ c_lessequals(V_C,V_D,tc_fun(T_a,tc_bool)) ) ).
% 4.53/4.61
% 4.53/4.61 cnf(cls_image__insert_0,axiom,
% 4.53/4.61 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) ).
% 4.53/4.61
% 4.53/4.61 cnf(cls_empty__not__insert_0,axiom,
% 4.53/4.61 c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)) != c_Set_Oinsert(V_a,V_A,T_a) ).
% 4.53/4.61
% 4.53/4.61 cnf(cls_doubleton__eq__iff_3,axiom,
% 4.53/4.61 ( c_Set_Oinsert(V_a,c_Set_Oinsert(V_b,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),T_a) != c_Set_Oinsert(V_c,c_Set_Oinsert(V_d,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),T_a)
% 4.53/4.61 | V_b = V_c
% 4.53/4.61 | V_b = V_d ) ).
% 4.53/4.61
% 4.53/4.61 cnf(cls_doubleton__eq__iff_2,axiom,
% 4.53/4.61 ( c_Set_Oinsert(V_a,c_Set_Oinsert(V_b,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),T_a) != c_Set_Oinsert(V_c,c_Set_Oinsert(V_d,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),T_a)
% 4.53/4.61 | V_a = V_d
% 4.53/4.61 | V_b = V_d ) ).
% 4.53/4.61
% 4.53/4.61 cnf(cls_doubleton__eq__iff_1,axiom,
% 4.53/4.61 ( c_Set_Oinsert(V_a,c_Set_Oinsert(V_b,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),T_a) != c_Set_Oinsert(V_c,c_Set_Oinsert(V_d,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),T_a)
% 4.53/4.61 | V_b = V_c
% 4.53/4.61 | V_a = V_c ) ).
% 4.53/4.61
% 4.53/4.61 cnf(cls_doubleton__eq__iff_0,axiom,
% 4.53/4.61 ( c_Set_Oinsert(V_a,c_Set_Oinsert(V_b,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),T_a) != c_Set_Oinsert(V_c,c_Set_Oinsert(V_d,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),T_a)
% 4.53/4.61 | V_a = V_d
% 4.53/4.61 | V_a = V_c ) ).
% 4.53/4.61
% 4.53/4.61 cnf(cls_subset__insertI_0,axiom,
% 4.53/4.61 c_lessequals(V_B,c_Set_Oinsert(V_a,V_B,T_a),tc_fun(T_a,tc_bool)) ).
% 4.53/4.61
% 4.53/4.61 cnf(cls_insert__not__empty_0,axiom,
% 4.53/4.61 c_Set_Oinsert(V_a,V_A,T_a) != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)) ).
% 4.53/4.61
% 4.53/4.61 cnf(cls_Un__insert__right_0,axiom,
% 4.53/4.61 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) ).
% 4.53/4.61
% 4.53/4.61 cnf(cls_Un__insert__left_0,axiom,
% 4.53/4.61 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) ).
% 4.53/4.61
% 4.53/4.61 cnf(cls_subset__insertI2_0,axiom,
% 4.53/4.61 ( c_lessequals(V_A,c_Set_Oinsert(V_b,V_B,T_a),tc_fun(T_a,tc_bool))
% 4.53/4.61 | ~ c_lessequals(V_A,V_B,tc_fun(T_a,tc_bool)) ) ).
% 4.53/4.61
% 4.53/4.61 cnf(cls_insert__subset_1,axiom,
% 4.53/4.61 ( c_lessequals(V_A,V_B,tc_fun(T_a,tc_bool))
% 4.53/4.61 | ~ c_lessequals(c_Set_Oinsert(V_x,V_A,T_a),V_B,tc_fun(T_a,tc_bool)) ) ).
% 4.53/4.61
% 4.53/4.61 cnf(cls_doubleton__eq__iff_4,axiom,
% 4.53/4.61 c_Set_Oinsert(V_xa,c_Set_Oinsert(V_x,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),T_a) = c_Set_Oinsert(V_x,c_Set_Oinsert(V_xa,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),T_a) ).
% 4.53/4.61
% 4.53/4.61 cnf(cls_singleton__inject_0,axiom,
% 4.53/4.61 ( c_Set_Oinsert(V_a,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a) != c_Set_Oinsert(V_b,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a)
% 4.53/4.61 | V_a = V_b ) ).
% 4.53/4.61
% 4.53/4.61 cnf(cls_analz__image__freshK__simps_I56_J_0,axiom,
% 4.53/4.61 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) ).
% 4.53/4.61
% 4.53/4.61 cnf(cls_synth_OInj_0,axiom,
% 4.53/4.61 ( c_in(V_X,c_Message_Osynth(V_H),tc_Message_Omsg)
% 4.53/4.61 | ~ c_in(V_X,V_H,tc_Message_Omsg) ) ).
% 4.53/4.61
% 4.53/4.61 cnf(cls_synth__synthD_0,axiom,
% 4.53/4.61 ( c_in(V_X,c_Message_Osynth(V_H),tc_Message_Omsg)
% 4.53/4.61 | ~ c_in(V_X,c_Message_Osynth(c_Message_Osynth(V_H)),tc_Message_Omsg) ) ).
% 4.53/4.61
% 4.53/4.61 cnf(cls_msg_Osimps_I45_J_0,axiom,
% 4.53/4.61 c_Message_Omsg_OMPair(V_msg1_H,V_msg2_H) != c_Message_Omsg_OHash(V_msg) ).
% 4.53/4.61
% 4.53/4.61 cnf(cls_msg_Osimps_I27_J_0,axiom,
% 4.53/4.61 c_Message_Omsg_OMPair(V_msg1_H,V_msg2_H) != c_Message_Omsg_ONumber(V_nat) ).
% 4.53/4.61
% 4.53/4.61 cnf(cls_msg_Osimps_I44_J_0,axiom,
% 4.53/4.61 c_Message_Omsg_OHash(V_msg) != c_Message_Omsg_OMPair(V_msg1_H,V_msg2_H) ).
% 4.53/4.61
% 4.53/4.61 cnf(cls_msg_Osimps_I26_J_0,axiom,
% 4.53/4.61 c_Message_Omsg_ONumber(V_nat) != c_Message_Omsg_OMPair(V_msg1_H,V_msg2_H) ).
% 4.53/4.61
% 4.53/4.61 cnf(cls_initState__into__used_0,axiom,
% 4.53/4.61 ( c_in(V_X,c_Event_Oused(V_evs),tc_Message_Omsg)
% 4.53/4.61 | ~ c_in(V_X,c_Message_Oparts(c_Event_OinitState(V_B)),tc_Message_Omsg) ) ).
% 4.53/4.61
% 4.53/4.61 cnf(cls_set__rev_0,axiom,
% 4.53/4.61 c_List_Oset(c_List_Orev(V_xs,T_a),T_a) = c_List_Oset(V_xs,T_a) ).
% 4.53/4.61
% 4.53/4.61 cnf(cls_Crypt__notin__used__empty_0,axiom,
% 4.53/4.61 ~ c_in(c_Message_Omsg_OCrypt(V_K,V_X),c_Event_Oused(c_List_Olist_ONil(tc_Event_Oevent)),tc_Message_Omsg) ).
% 4.53/4.61
% 4.53/4.61 cnf(cls_publicKey__into__used_0,axiom,
% 4.53/4.61 c_in(hAPP(c_Message_Omsg_OKey,hAPP(c_Public_OpublicKey(V_b),V_A)),c_Event_Oused(V_evs),tc_Message_Omsg) ).
% 4.53/4.61
% 4.53/4.61 cnf(cls_Key__image__eq_1,axiom,
% 4.53/4.61 ( 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)
% 4.53/4.61 | ~ c_in(V_x,V_A,tc_nat) ) ).
% 4.53/4.61
% 4.53/4.61 cnf(cls_Key__image__eq_0,axiom,
% 4.53/4.61 ( c_in(V_x,V_A,tc_nat)
% 4.53/4.61 | ~ 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) ) ).
% 4.53/4.61
% 4.53/4.61 cnf(cls_publicKey__in__initState_0,axiom,
% 4.53/4.61 c_in(hAPP(c_Message_Omsg_OKey,hAPP(c_Public_OpublicKey(V_b),V_A)),c_Event_OinitState(V_B),tc_Message_Omsg) ).
% 4.53/4.61
% 4.53/4.61 cnf(cls_Hash__notin__image__Key_0,axiom,
% 4.53/4.61 ~ c_in(c_Message_Omsg_OHash(V_X),c_Set_Oimage(c_Message_Omsg_OKey,V_A,tc_nat,tc_Message_Omsg),tc_Message_Omsg) ).
% 4.53/4.61
% 4.53/4.61 cnf(cls_parts__Un_0,axiom,
% 4.53/4.61 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)) ).
% 4.53/4.61
% 4.53/4.61 cnf(cls_parts__increasing_0,axiom,
% 4.53/4.61 c_lessequals(V_H,c_Message_Oparts(V_H),tc_fun(tc_Message_Omsg,tc_bool)) ).
% 4.53/4.61
% 4.53/4.61 cnf(cls_parts__mono_0,axiom,
% 4.53/4.61 ( c_lessequals(c_Message_Oparts(V_G),c_Message_Oparts(V_H),tc_fun(tc_Message_Omsg,tc_bool))
% 4.53/4.61 | ~ c_lessequals(V_G,V_H,tc_fun(tc_Message_Omsg,tc_bool)) ) ).
% 4.53/4.61
% 4.53/4.61 cnf(cls_parts__empty_0,axiom,
% 4.53/4.61 c_Message_Oparts(c_Orderings_Obot__class_Obot(tc_fun(tc_Message_Omsg,tc_bool))) = c_Orderings_Obot__class_Obot(tc_fun(tc_Message_Omsg,tc_bool)) ).
% 4.53/4.61
% 4.53/4.61 cnf(cls_parts__subset__iff_1,axiom,
% 4.53/4.61 ( c_lessequals(c_Message_Oparts(V_G),c_Message_Oparts(V_H),tc_fun(tc_Message_Omsg,tc_bool))
% 4.53/4.61 | ~ c_lessequals(V_G,c_Message_Oparts(V_H),tc_fun(tc_Message_Omsg,tc_bool)) ) ).
% 4.53/4.61
% 4.53/4.61 cnf(cls_parts__subset__iff_0,axiom,
% 4.53/4.61 ( c_lessequals(V_G,c_Message_Oparts(V_H),tc_fun(tc_Message_Omsg,tc_bool))
% 4.53/4.61 | ~ c_lessequals(c_Message_Oparts(V_G),c_Message_Oparts(V_H),tc_fun(tc_Message_Omsg,tc_bool)) ) ).
% 4.53/4.61
% 4.53/4.61 cnf(cls_used__parts__subset__parts_0,axiom,
% 4.53/4.61 ( c_lessequals(c_Message_Oparts(c_Set_Oinsert(V_X,c_Orderings_Obot__class_Obot(tc_fun(tc_Message_Omsg,tc_bool)),tc_Message_Omsg)),c_Event_Oused(V_evs),tc_fun(tc_Message_Omsg,tc_bool))
% 4.53/4.61 | ~ c_in(V_X,c_Event_Oused(V_evs),tc_Message_Omsg) ) ).
% 4.53/4.61
% 4.53/4.61 cnf(cls_analz__image__freshK__lemma_2,axiom,
% 4.53/4.61 ( 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)
% 4.53/4.61 | ~ c_in(V_K,V_nE,tc_nat)
% 4.53/4.61 | ~ c_in(V_K,V_nE,tc_nat) ) ).
% 4.53/4.61
% 4.53/4.61 cnf(cls_analz__image__freshK__lemma_0,axiom,
% 4.53/4.62 ( 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)
% 4.53/4.62 | ~ c_in(V_K,V_nE,tc_nat)
% 4.53/4.62 | 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) ) ).
% 4.53/4.62
% 4.53/4.62 cnf(cls_analz__image__freshK__lemma_4,axiom,
% 4.53/4.62 ( 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)
% 4.53/4.62 | ~ c_in(V_K,V_nE,tc_nat)
% 4.53/4.62 | ~ c_in(hAPP(c_Message_Omsg_OKey,V_K),c_Message_Oanalz(V_H),tc_Message_Omsg) ) ).
% 4.53/4.62
% 4.53/4.62 cnf(cls_analz__image__freshK__lemma_3,axiom,
% 4.53/4.62 ( 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)
% 4.53/4.62 | ~ c_in(hAPP(c_Message_Omsg_OKey,V_K),c_Message_Oanalz(V_H),tc_Message_Omsg)
% 4.53/4.62 | ~ c_in(V_K,V_nE,tc_nat) ) ).
% 4.53/4.62
% 4.53/4.62 cnf(cls_msg_Osimps_I28_J_0,axiom,
% 4.53/4.62 c_Message_Omsg_ONumber(V_nat) != c_Message_Omsg_OCrypt(V_nat_H,V_msg_H) ).
% 4.53/4.62
% 4.53/4.62 cnf(cls_msg_Osimps_I29_J_0,axiom,
% 4.53/4.62 c_Message_Omsg_OCrypt(V_nat_H,V_msg_H) != c_Message_Omsg_ONumber(V_nat) ).
% 4.53/4.62
% 4.53/4.62 cnf(cls_msg_Osimps_I46_J_0,axiom,
% 4.53/4.62 c_Message_Omsg_OHash(V_msg) != c_Message_Omsg_OCrypt(V_nat_H,V_msg_H) ).
% 4.53/4.62
% 4.53/4.62 cnf(cls_msg_Osimps_I47_J_0,axiom,
% 4.53/4.62 c_Message_Omsg_OCrypt(V_nat_H,V_msg_H) != c_Message_Omsg_OHash(V_msg) ).
% 4.53/4.62
% 4.53/4.62 cnf(cls_Fake__parts__sing_0,axiom,
% 4.53/4.62 ( c_lessequals(c_Message_Oparts(c_Set_Oinsert(V_X,c_Orderings_Obot__class_Obot(tc_fun(tc_Message_Omsg,tc_bool)),tc_Message_Omsg)),c_Lattices_Oupper__semilattice__class_Osup(c_Message_Osynth(c_Message_Oanalz(V_H)),c_Message_Oparts(V_H),tc_fun(tc_Message_Omsg,tc_bool)),tc_fun(tc_Message_Omsg,tc_bool))
% 4.53/4.62 | ~ c_in(V_X,c_Message_Osynth(c_Message_Oanalz(V_H)),tc_Message_Omsg) ) ).
% 4.53/4.62
% 4.53/4.62 cnf(cls_keysFor__parts__insert_0,axiom,
% 4.53/4.62 ( c_in(hAPP(c_Message_Omsg_OKey,c_Message_OinvKey(V_K)),c_Message_Oparts(V_H),tc_Message_Omsg)
% 4.53/4.62 | 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)
% 4.53/4.62 | ~ c_in(V_X,c_Message_Osynth(c_Message_Oanalz(V_H)),tc_Message_Omsg)
% 4.53/4.62 | ~ c_in(V_K,c_Message_OkeysFor(c_Message_Oparts(c_Set_Oinsert(V_X,V_G,tc_Message_Omsg))),tc_nat) ) ).
% 4.53/4.62
% 4.53/4.62 cnf(cls_Fake__analz__insert_0,axiom,
% 4.53/4.62 ( 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))
% 4.53/4.62 | ~ c_in(V_X,c_Message_Osynth(c_Message_Oanalz(V_G)),tc_Message_Omsg) ) ).
% 4.53/4.62
% 4.53/4.62 cnf(cls_parts__insert_0,axiom,
% 4.53/4.62 c_Message_Oparts(c_Set_Oinsert(V_X,V_H,tc_Message_Omsg)) = c_Lattices_Oupper__semilattice__class_Osup(c_Message_Oparts(c_Set_Oinsert(V_X,c_Orderings_Obot__class_Obot(tc_fun(tc_Message_Omsg,tc_bool)),tc_Message_Omsg)),c_Message_Oparts(V_H),tc_fun(tc_Message_Omsg,tc_bool)) ).
% 4.53/4.62
% 4.53/4.62 cnf(cls_parts__insert2_0,axiom,
% 4.53/4.62 c_Message_Oparts(c_Set_Oinsert(V_X,c_Set_Oinsert(V_Y,V_H,tc_Message_Omsg),tc_Message_Omsg)) = c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Oupper__semilattice__class_Osup(c_Message_Oparts(c_Set_Oinsert(V_X,c_Orderings_Obot__class_Obot(tc_fun(tc_Message_Omsg,tc_bool)),tc_Message_Omsg)),c_Message_Oparts(c_Set_Oinsert(V_Y,c_Orderings_Obot__class_Obot(tc_fun(tc_Message_Omsg,tc_bool)),tc_Message_Omsg)),tc_fun(tc_Message_Omsg,tc_bool)),c_Message_Oparts(V_H),tc_fun(tc_Message_Omsg,tc_bool)) ).
% 4.53/4.62
% 4.53/4.62 cnf(cls_msg_Osimps_I22_J_0,axiom,
% 4.53/4.62 c_Message_Omsg_ONumber(V_nat) != hAPP(c_Message_Omsg_OKey,V_nat_H) ).
% 4.53/4.62
% 4.53/4.62 cnf(cls_msg_Osimps_I23_J_0,axiom,
% 4.53/4.62 hAPP(c_Message_Omsg_OKey,V_nat_H) != c_Message_Omsg_ONumber(V_nat) ).
% 4.53/4.62
% 4.53/4.62 cnf(cls_msg_Osimps_I39_J_0,axiom,
% 4.53/4.62 c_Message_Omsg_OHash(V_msg_H) != hAPP(c_Message_Omsg_OKey,V_nat) ).
% 4.53/4.62
% 4.53/4.62 cnf(cls_msg_Osimps_I38_J_0,axiom,
% 4.53/4.62 hAPP(c_Message_Omsg_OKey,V_nat) != c_Message_Omsg_OHash(V_msg_H) ).
% 4.53/4.62
% 4.53/4.62 cnf(cls_Nonce__notin__used__empty_0,axiom,
% 4.53/4.62 ~ c_in(c_Message_Omsg_ONonce(V_N),c_Event_Oused(c_List_Olist_ONil(tc_Event_Oevent)),tc_Message_Omsg) ).
% 4.53/4.62
% 4.53/4.62 cnf(cls_analz__mono_0,axiom,
% 4.53/4.62 ( c_lessequals(c_Message_Oanalz(V_G),c_Message_Oanalz(V_H),tc_fun(tc_Message_Omsg,tc_bool))
% 4.53/4.62 | ~ c_lessequals(V_G,V_H,tc_fun(tc_Message_Omsg,tc_bool)) ) ).
% 4.53/4.62
% 4.53/4.62 cnf(cls_analz__empty_0,axiom,
% 4.53/4.62 c_Message_Oanalz(c_Orderings_Obot__class_Obot(tc_fun(tc_Message_Omsg,tc_bool))) = c_Orderings_Obot__class_Obot(tc_fun(tc_Message_Omsg,tc_bool)) ).
% 4.53/4.62
% 4.53/4.62 cnf(cls_analz__subset__iff_1,axiom,
% 4.53/4.62 ( c_lessequals(c_Message_Oanalz(V_G),c_Message_Oanalz(V_H),tc_fun(tc_Message_Omsg,tc_bool))
% 4.53/4.62 | ~ c_lessequals(V_G,c_Message_Oanalz(V_H),tc_fun(tc_Message_Omsg,tc_bool)) ) ).
% 4.53/4.62
% 4.53/4.62 cnf(cls_analz__subset__iff_0,axiom,
% 4.53/4.62 ( c_lessequals(V_G,c_Message_Oanalz(V_H),tc_fun(tc_Message_Omsg,tc_bool))
% 4.53/4.62 | ~ c_lessequals(c_Message_Oanalz(V_G),c_Message_Oanalz(V_H),tc_fun(tc_Message_Omsg,tc_bool)) ) ).
% 4.53/4.62
% 4.53/4.62 cnf(cls_analz__increasing_0,axiom,
% 4.53/4.62 c_lessequals(V_H,c_Message_Oanalz(V_H),tc_fun(tc_Message_Omsg,tc_bool)) ).
% 4.53/4.62
% 4.53/4.62 cnf(cls_analz__analz__Un_0,axiom,
% 4.53/4.62 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))) ).
% 4.53/4.62
% 4.53/4.62 cnf(cls_analz__cong_0,axiom,
% 4.53/4.62 ( c_Message_Oanalz(V_H) != c_Message_Oanalz(V_H_H)
% 4.53/4.62 | c_Message_Oanalz(V_G) != c_Message_Oanalz(V_G_H)
% 4.53/4.62 | 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))) ) ).
% 4.53/4.62
% 4.53/4.62 cnf(cls_knows__Notes_0,axiom,
% 4.53/4.62 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) ).
% 4.53/4.62
% 4.53/4.62 cnf(cls_msg_Osimps_I15_J_0,axiom,
% 4.53/4.62 c_Message_Omsg_OHash(V_msg_H) != c_Message_Omsg_OAgent(V_agent) ).
% 4.53/4.62
% 4.53/4.62 cnf(cls_msg_Osimps_I8_J_0,axiom,
% 4.53/4.62 c_Message_Omsg_OAgent(V_agent) != c_Message_Omsg_ONumber(V_nat_H) ).
% 4.53/4.62
% 4.53/4.62 cnf(cls_msg_Osimps_I9_J_0,axiom,
% 4.53/4.62 c_Message_Omsg_ONumber(V_nat_H) != c_Message_Omsg_OAgent(V_agent) ).
% 4.53/4.62
% 4.53/4.62 cnf(cls_msg_Osimps_I14_J_0,axiom,
% 4.53/4.62 c_Message_Omsg_OAgent(V_agent) != c_Message_Omsg_OHash(V_msg_H) ).
% 4.53/4.62
% 4.53/4.62 cnf(cls_knows__Spy__Gets_0,axiom,
% 4.53/4.62 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) ).
% 4.53/4.62
% 4.53/4.62 cnf(cls_msg_Osimps_I32_J_0,axiom,
% 4.53/4.62 c_Message_Omsg_ONonce(V_nat) != c_Message_Omsg_OHash(V_msg_H) ).
% 4.53/4.62
% 4.53/4.62 cnf(cls_msg_Osimps_I20_J_0,axiom,
% 4.53/4.62 c_Message_Omsg_ONumber(V_nat) != c_Message_Omsg_ONonce(V_nat_H) ).
% 4.53/4.62
% 4.53/4.62 cnf(cls_msg_Osimps_I21_J_0,axiom,
% 4.53/4.62 c_Message_Omsg_ONonce(V_nat_H) != c_Message_Omsg_ONumber(V_nat) ).
% 4.53/4.62
% 4.53/4.62 cnf(cls_msg_Osimps_I33_J_0,axiom,
% 4.53/4.62 c_Message_Omsg_OHash(V_msg_H) != c_Message_Omsg_ONonce(V_nat) ).
% 4.53/4.62
% 4.53/4.62 cnf(cls_knows__subset__knows__Says_0,axiom,
% 4.53/4.62 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)) ).
% 4.53/4.62
% 4.53/4.62 cnf(cls_event_Osimps_I4_J_0,axiom,
% 4.53/4.62 c_Event_Oevent_OSays(V_agent1,V_agent2,V_msg) != c_Event_Oevent_OGets(V_agent_H,V_msg_H) ).
% 4.53/4.62
% 4.53/4.62 cnf(cls_event_Osimps_I6_J_0,axiom,
% 4.53/4.62 c_Event_Oevent_OSays(V_agent1,V_agent2,V_msg) != c_Event_Oevent_ONotes(V_agent_H,V_msg_H) ).
% 4.53/4.62
% 4.53/4.62 cnf(cls_event_Osimps_I5_J_0,axiom,
% 4.53/4.62 c_Event_Oevent_OGets(V_agent_H,V_msg_H) != c_Event_Oevent_OSays(V_agent1,V_agent2,V_msg) ).
% 4.53/4.62
% 4.53/4.62 cnf(cls_event_Osimps_I7_J_0,axiom,
% 4.53/4.62 c_Event_Oevent_ONotes(V_agent_H,V_msg_H) != c_Event_Oevent_OSays(V_agent1,V_agent2,V_msg) ).
% 4.53/4.62
% 4.53/4.62 cnf(cls_pubK__neq__shrK_0,axiom,
% 4.53/4.62 hAPP(c_Public_OshrK,V_A) != hAPP(c_Public_OpublicKey(V_b),V_C) ).
% 4.53/4.62
% 4.53/4.62 cnf(cls_shrK__neq__pubK_0,axiom,
% 4.53/4.62 hAPP(c_Public_OpublicKey(V_b),V_C) != hAPP(c_Public_OshrK,V_A) ).
% 4.53/4.62
% 4.53/4.62 cnf(cls_invKey__shrK_0,axiom,
% 4.53/4.62 c_Message_OinvKey(hAPP(c_Public_OshrK,V_A)) = hAPP(c_Public_OshrK,V_A) ).
% 4.53/4.62
% 4.53/4.62 cnf(cls_shrK__image__eq_1,axiom,
% 4.53/4.62 ( c_in(hAPP(c_Public_OshrK,V_x),c_Set_Oimage(c_Public_OshrK,V_AA,tc_Message_Oagent,tc_nat),tc_nat)
% 4.53/4.62 | ~ c_in(V_x,V_AA,tc_Message_Oagent) ) ).
% 4.53/4.62
% 4.53/4.62 cnf(cls_shrK__image__eq_0,axiom,
% 4.53/4.62 ( c_in(V_x,V_AA,tc_Message_Oagent)
% 4.53/4.62 | ~ c_in(hAPP(c_Public_OshrK,V_x),c_Set_Oimage(c_Public_OshrK,V_AA,tc_Message_Oagent,tc_nat),tc_nat) ) ).
% 4.53/4.62
% 4.53/4.62 cnf(cls_Fake__parts__insert_0,axiom,
% 4.53/4.62 ( 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))
% 4.53/4.62 | ~ c_in(V_X,c_Message_Osynth(c_Message_Oanalz(V_H)),tc_Message_Omsg) ) ).
% 4.53/4.62
% 4.53/4.62 cnf(cls_Fake__parts__sing__imp__Un_0,axiom,
% 4.53/4.62 ( c_in(V_c,c_Lattices_Oupper__semilattice__class_Osup(c_Message_Osynth(c_Message_Oanalz(V_H)),c_Message_Oparts(V_H),tc_fun(tc_Message_Omsg,tc_bool)),tc_Message_Omsg)
% 4.53/4.62 | ~ c_in(V_X,c_Message_Osynth(c_Message_Oanalz(V_H)),tc_Message_Omsg)
% 4.53/4.62 | ~ c_in(V_c,c_Message_Oparts(c_Set_Oinsert(V_X,c_Orderings_Obot__class_Obot(tc_fun(tc_Message_Omsg,tc_bool)),tc_Message_Omsg)),tc_Message_Omsg) ) ).
% 4.53/4.62
% 4.53/4.62 cnf(cls_parts__insert__subset_0,axiom,
% 4.53/4.62 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)) ).
% 4.53/4.62
% 4.53/4.62 cnf(cls_Nonce__synth_0,axiom,
% 4.53/4.62 ( c_in(c_Message_Omsg_ONonce(V_n),V_H,tc_Message_Omsg)
% 4.53/4.62 | ~ c_in(c_Message_Omsg_ONonce(V_n),c_Message_Osynth(V_H),tc_Message_Omsg) ) ).
% 4.53/4.62
% 4.53/4.62 cnf(cls_Nonce__synth__eq_0,axiom,
% 4.53/4.62 ( c_in(c_Message_Omsg_ONonce(V_N),V_H,tc_Message_Omsg)
% 4.53/4.62 | ~ c_in(c_Message_Omsg_ONonce(V_N),c_Message_Osynth(V_H),tc_Message_Omsg) ) ).
% 4.53/4.62
% 4.53/4.62 cnf(cls_Nonce__synth__eq_1,axiom,
% 4.53/4.62 ( c_in(c_Message_Omsg_ONonce(V_N),c_Message_Osynth(V_H),tc_Message_Omsg)
% 4.53/4.62 | ~ c_in(c_Message_Omsg_ONonce(V_N),V_H,tc_Message_Omsg) ) ).
% 4.53/4.62
% 4.53/4.62 cnf(cls_analz__image__Key_0,axiom,
% 4.53/4.62 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) ).
% 4.53/4.62
% 4.53/4.62 cnf(cls_pushes_I11_J_0,axiom,
% 4.53/4.62 c_Set_Oinsert(c_Message_Omsg_OCrypt(V_X,V_K),c_Set_Oinsert(c_Message_Omsg_OHash(V_X_H),V_A,tc_Message_Omsg),tc_Message_Omsg) = c_Set_Oinsert(c_Message_Omsg_OHash(V_X_H),c_Set_Oinsert(c_Message_Omsg_OCrypt(V_X,V_K),V_A,tc_Message_Omsg),tc_Message_Omsg) ).
% 4.53/4.62
% 4.53/4.62 cnf(cls_pushes_I10_J_0,axiom,
% 4.53/4.62 c_Set_Oinsert(c_Message_Omsg_OCrypt(V_X,V_K),c_Set_Oinsert(c_Message_Omsg_ONumber(V_N),V_A,tc_Message_Omsg),tc_Message_Omsg) = c_Set_Oinsert(c_Message_Omsg_ONumber(V_N),c_Set_Oinsert(c_Message_Omsg_OCrypt(V_X,V_K),V_A,tc_Message_Omsg),tc_Message_Omsg) ).
% 4.53/4.62
% 4.53/4.62 cnf(cls_analz__mono__contra_I3_J_0,axiom,
% 4.53/4.62 ( ~ c_in(V_c,c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,V_evs)),tc_Message_Omsg)
% 4.53/4.62 | 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) ) ).
% 4.53/4.62
% 4.53/4.62 cnf(cls_analz__mono__contra_I2_J_0,axiom,
% 4.53/4.62 ( ~ c_in(V_c,c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,V_evs)),tc_Message_Omsg)
% 4.53/4.62 | 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) ) ).
% 4.53/4.62
% 4.53/4.62 cnf(cls_pushes_I3_J_0,axiom,
% 4.53/4.62 c_Set_Oinsert(hAPP(c_Message_Omsg_OKey,V_K),c_Set_Oinsert(c_Message_Omsg_ONumber(V_N),V_A,tc_Message_Omsg),tc_Message_Omsg) = c_Set_Oinsert(c_Message_Omsg_ONumber(V_N),c_Set_Oinsert(hAPP(c_Message_Omsg_OKey,V_K),V_A,tc_Message_Omsg),tc_Message_Omsg) ).
% 4.53/4.62
% 4.53/4.62 cnf(cls_keysFor__insert__Key_0,axiom,
% 4.53/4.62 c_Message_OkeysFor(c_Set_Oinsert(hAPP(c_Message_Omsg_OKey,V_K),V_H,tc_Message_Omsg)) = c_Message_OkeysFor(V_H) ).
% 4.53/4.62
% 4.53/4.62 cnf(cls_pushes_I4_J_0,axiom,
% 4.53/4.62 c_Set_Oinsert(hAPP(c_Message_Omsg_OKey,V_K),c_Set_Oinsert(c_Message_Omsg_OHash(V_X),V_A,tc_Message_Omsg),tc_Message_Omsg) = c_Set_Oinsert(c_Message_Omsg_OHash(V_X),c_Set_Oinsert(hAPP(c_Message_Omsg_OKey,V_K),V_A,tc_Message_Omsg),tc_Message_Omsg) ).
% 4.53/4.62
% 4.53/4.62 cnf(cls_analz__insert__Hash_0,axiom,
% 4.53/4.62 c_Message_Oanalz(c_Set_Oinsert(c_Message_Omsg_OHash(V_X),V_H,tc_Message_Omsg)) = c_Set_Oinsert(c_Message_Omsg_OHash(V_X),c_Message_Oanalz(V_H),tc_Message_Omsg) ).
% 4.53/4.62
% 4.53/4.62 cnf(cls_analz__insert__Number_0,axiom,
% 4.53/4.62 c_Message_Oanalz(c_Set_Oinsert(c_Message_Omsg_ONumber(V_N),V_H,tc_Message_Omsg)) = c_Set_Oinsert(c_Message_Omsg_ONumber(V_N),c_Message_Oanalz(V_H),tc_Message_Omsg) ).
% 4.53/4.62
% 4.53/4.62 cnf(cls_analz__insert_0,axiom,
% 4.53/4.62 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)) ).
% 4.53/4.62
% 4.53/4.62 cnf(cls_parts__insert__spies_0,axiom,
% 4.53/4.62 c_Message_Oparts(c_Set_Oinsert(V_X,c_Event_Oknows(c_Message_Oagent_OSpy,V_evs),tc_Message_Omsg)) = c_Lattices_Oupper__semilattice__class_Osup(c_Message_Oparts(c_Set_Oinsert(V_X,c_Orderings_Obot__class_Obot(tc_fun(tc_Message_Omsg,tc_bool)),tc_Message_Omsg)),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,V_evs)),tc_fun(tc_Message_Omsg,tc_bool)) ).
% 4.53/4.62
% 4.53/4.62 cnf(cls_keysFor__insert__Agent_0,axiom,
% 4.53/4.62 c_Message_OkeysFor(c_Set_Oinsert(c_Message_Omsg_OAgent(V_A),V_H,tc_Message_Omsg)) = c_Message_OkeysFor(V_H) ).
% 4.53/4.62
% 4.53/4.62 cnf(cls_ns__sharedp_ONS1_0,axiom,
% 4.53/4.62 ( 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))
% 4.53/4.62 | c_in(c_Message_Omsg_ONonce(V_NA),c_Event_Oused(V_evs1),tc_Message_Omsg)
% 4.53/4.62 | ~ c_NS__Shared__Mirabelle_Ons__sharedp(V_evs1) ) ).
% 4.53/4.62
% 4.53/4.62 cnf(cls_ns__sharedp_ONS4_0,axiom,
% 4.53/4.62 ( 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))
% 4.53/4.62 | ~ 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)
% 4.53/4.62 | ~ c_in(V_K,c_Message_OsymKeys,tc_nat)
% 4.53/4.62 | c_in(c_Message_Omsg_ONonce(V_NB),c_Event_Oused(V_evs4),tc_Message_Omsg)
% 4.53/4.62 | ~ c_NS__Shared__Mirabelle_Ons__sharedp(V_evs4) ) ).
% 4.53/4.62
% 4.53/4.62 cnf(cls_keysFor__insert__Nonce_0,axiom,
% 4.53/4.62 c_Message_OkeysFor(c_Set_Oinsert(c_Message_Omsg_ONonce(V_N),V_H,tc_Message_Omsg)) = c_Message_OkeysFor(V_H) ).
% 4.53/4.62
% 4.53/4.62 cnf(cls_spies__evs__rev_0,axiom,
% 4.53/4.62 c_Event_Oknows(c_Message_Oagent_OSpy,V_evs) = c_Event_Oknows(c_Message_Oagent_OSpy,c_List_Orev(V_evs,tc_Event_Oevent)) ).
% 4.53/4.62
% 4.53/4.62 cnf(cls_knows__Spy__Notes_1,axiom,
% 4.53/4.62 ( 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)
% 4.53/4.62 | c_in(V_A,c_Event_Obad,tc_Message_Oagent) ) ).
% 4.53/4.62
% 4.53/4.62 cnf(cls_ns__shared_ONil_0,axiom,
% 4.53/4.62 c_in(c_List_Olist_ONil(tc_Event_Oevent),c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent)) ).
% 4.53/4.62
% 4.53/4.62 cnf(cls_ns__sharedp_ONS2_0,axiom,
% 4.53/4.62 ( 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))
% 4.53/4.62 | ~ 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)
% 4.53/4.62 | ~ c_in(V_KAB,c_Message_OsymKeys,tc_nat)
% 4.53/4.62 | c_in(hAPP(c_Message_Omsg_OKey,V_KAB),c_Event_Oused(V_evs2),tc_Message_Omsg)
% 4.53/4.62 | ~ c_NS__Shared__Mirabelle_Ons__sharedp(V_evs2) ) ).
% 4.53/4.62
% 4.53/4.62 cnf(cls_ns__sharedp_ONS5_0,axiom,
% 4.53/4.62 ( 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))
% 4.53/4.62 | ~ 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)
% 4.53/4.62 | ~ 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)
% 4.53/4.62 | ~ c_in(V_K,c_Message_OsymKeys,tc_nat)
% 4.53/4.62 | ~ c_NS__Shared__Mirabelle_Ons__sharedp(V_evs5) ) ).
% 4.53/4.62
% 4.53/4.62 cnf(cls_lemma2_0,axiom,
% 4.53/4.62 ( 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))
% 4.53/4.62 | ~ c_in(hAPP(c_Message_Omsg_OKey,c_Message_OinvKey(V_K)),c_Message_Oanalz(V_H),tc_Message_Omsg) ) ).
% 4.53/4.62
% 4.53/4.62 cnf(cls_lemma1_0,axiom,
% 4.53/4.62 ( 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))
% 4.53/4.62 | ~ c_in(hAPP(c_Message_Omsg_OKey,c_Message_OinvKey(V_K)),c_Message_Oanalz(V_H),tc_Message_Omsg) ) ).
% 4.53/4.62
% 4.53/4.62 cnf(cls_knows__Spy__Notes_0,axiom,
% 4.53/4.62 ( 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)
% 4.53/4.62 | ~ c_in(V_A,c_Event_Obad,tc_Message_Oagent) ) ).
% 4.53/4.62
% 4.53/4.62 cnf(cls_Crypt__notin__initState_0,axiom,
% 4.53/4.62 ~ c_in(c_Message_Omsg_OCrypt(V_K,V_X),c_Message_Oparts(c_Event_OinitState(V_B)),tc_Message_Omsg) ).
% 4.53/4.62
% 4.53/4.62 cnf(cls_MPair__synth__analz_2,axiom,
% 4.53/4.62 ( c_in(c_Message_Omsg_OMPair(V_X,V_Y),c_Message_Osynth(c_Message_Oanalz(V_H)),tc_Message_Omsg)
% 4.53/4.62 | ~ c_in(V_Y,c_Message_Osynth(c_Message_Oanalz(V_H)),tc_Message_Omsg)
% 4.53/4.62 | ~ c_in(V_X,c_Message_Osynth(c_Message_Oanalz(V_H)),tc_Message_Omsg) ) ).
% 4.53/4.62
% 4.53/4.62 cnf(cls_MPair__synth__analz_0,axiom,
% 4.53/4.62 ( c_in(V_X,c_Message_Osynth(c_Message_Oanalz(V_H)),tc_Message_Omsg)
% 4.53/4.62 | ~ c_in(c_Message_Omsg_OMPair(V_X,V_Y),c_Message_Osynth(c_Message_Oanalz(V_H)),tc_Message_Omsg) ) ).
% 4.53/4.62
% 4.53/4.62 cnf(cls_MPair__synth__analz_1,axiom,
% 4.53/4.62 ( c_in(V_Y,c_Message_Osynth(c_Message_Oanalz(V_H)),tc_Message_Omsg)
% 4.53/4.62 | ~ c_in(c_Message_Omsg_OMPair(V_X,V_Y),c_Message_Osynth(c_Message_Oanalz(V_H)),tc_Message_Omsg) ) ).
% 4.53/4.62
% 4.53/4.62 cnf(cls_in__lists__conv__set_0,axiom,
% 4.53/4.62 ( c_in(V_x,V_A,T_a)
% 4.53/4.62 | ~ c_in(V_x,c_List_Oset(V_xs,T_a),T_a)
% 4.53/4.62 | ~ c_in(V_xs,c_List_Olists(V_A,T_a),tc_List_Olist(T_a)) ) ).
% 4.53/4.62
% 4.53/4.62 cnf(cls_synth_OCrypt_0,axiom,
% 4.53/4.62 ( c_in(c_Message_Omsg_OCrypt(V_K,V_X),c_Message_Osynth(V_H),tc_Message_Omsg)
% 4.53/4.62 | ~ c_in(hAPP(c_Message_Omsg_OKey,V_K),V_H,tc_Message_Omsg)
% 4.53/4.62 | ~ c_in(V_X,c_Message_Osynth(V_H),tc_Message_Omsg) ) ).
% 4.53/4.62
% 4.53/4.62 cnf(cls_Crypt__synth_1,axiom,
% 4.53/4.62 ( c_in(hAPP(c_Message_Omsg_OKey,V_K),V_H,tc_Message_Omsg)
% 4.53/4.62 | c_in(c_Message_Omsg_OCrypt(V_K,V_X),V_H,tc_Message_Omsg)
% 4.53/4.62 | ~ c_in(c_Message_Omsg_OCrypt(V_K,V_X),c_Message_Osynth(V_H),tc_Message_Omsg) ) ).
% 4.53/4.62
% 4.53/4.62 cnf(cls_Crypt__synth__eq_0,axiom,
% 4.53/4.62 ( c_in(c_Message_Omsg_OCrypt(V_K,V_X),V_H,tc_Message_Omsg)
% 4.53/4.62 | ~ c_in(c_Message_Omsg_OCrypt(V_K,V_X),c_Message_Osynth(V_H),tc_Message_Omsg)
% 4.53/4.62 | c_in(hAPP(c_Message_Omsg_OKey,V_K),V_H,tc_Message_Omsg) ) ).
% 4.53/4.62
% 4.53/4.62 cnf(cls_Crypt__synth__eq_1,axiom,
% 4.53/4.62 ( c_in(c_Message_Omsg_OCrypt(V_K,V_X),c_Message_Osynth(V_H),tc_Message_Omsg)
% 4.53/4.62 | ~ c_in(c_Message_Omsg_OCrypt(V_K,V_X),V_H,tc_Message_Omsg)
% 4.53/4.62 | c_in(hAPP(c_Message_Omsg_OKey,V_K),V_H,tc_Message_Omsg) ) ).
% 4.53/4.62
% 4.53/4.62 cnf(cls_Crypt__notin__image__Key_0,axiom,
% 4.53/4.62 ~ 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) ).
% 4.53/4.62
% 4.53/4.62 cnf(cls_parts__insert__eq__I_0,axiom,
% 4.53/4.62 ( c_Message_Oparts(c_Set_Oinsert(V_X,V_H,tc_Message_Omsg)) = c_Set_Oinsert(V_X,c_Message_Oparts(V_H),tc_Message_Omsg)
% 4.53/4.62 | c_in(c_Message_Osko__Message__Xparts__insert__eq__I__1__1(V_H,V_X),c_Message_Oparts(c_Set_Oinsert(V_X,V_H,tc_Message_Omsg)),tc_Message_Omsg) ) ).
% 4.53/4.62
% 4.53/4.62 cnf(cls_parts__insert__eq__I_1,axiom,
% 4.53/4.62 ( c_Message_Oparts(c_Set_Oinsert(V_X,V_H,tc_Message_Omsg)) = c_Set_Oinsert(V_X,c_Message_Oparts(V_H),tc_Message_Omsg)
% 4.53/4.62 | ~ c_in(c_Message_Osko__Message__Xparts__insert__eq__I__1__1(V_H,V_X),c_Set_Oinsert(V_X,c_Message_Oparts(V_H),tc_Message_Omsg),tc_Message_Omsg) ) ).
% 4.53/4.62
% 4.53/4.62 cnf(cls_parts__cut_0,axiom,
% 4.53/4.62 ( 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)
% 4.53/4.62 | ~ c_in(V_X,c_Message_Oparts(V_H),tc_Message_Omsg)
% 4.53/4.62 | ~ c_in(V_Y,c_Message_Oparts(c_Set_Oinsert(V_X,V_G,tc_Message_Omsg)),tc_Message_Omsg) ) ).
% 4.53/4.62
% 4.53/4.62 cnf(cls_Fake__analz__eq_0,axiom,
% 4.53/4.62 ( c_Message_Osynth(c_Message_Oanalz(c_Set_Oinsert(V_X,V_H,tc_Message_Omsg))) = c_Message_Osynth(c_Message_Oanalz(V_H))
% 4.53/4.62 | ~ c_in(V_X,c_Message_Osynth(c_Message_Oanalz(V_H)),tc_Message_Omsg) ) ).
% 4.53/4.62
% 4.53/4.62 cnf(cls_analz__insert__eq__I_1,axiom,
% 4.53/4.62 ( c_Message_Oanalz(c_Set_Oinsert(V_X,V_H,tc_Message_Omsg)) = c_Set_Oinsert(V_X,c_Message_Oanalz(V_H),tc_Message_Omsg)
% 4.53/4.62 | ~ c_in(c_Message_Osko__Message__Xanalz__insert__eq__I__1__1(V_H,V_X),c_Set_Oinsert(V_X,c_Message_Oanalz(V_H),tc_Message_Omsg),tc_Message_Omsg) ) ).
% 4.53/4.62
% 4.53/4.62 cnf(cls_analz__insert__eq__I_0,axiom,
% 4.53/4.62 ( c_Message_Oanalz(c_Set_Oinsert(V_X,V_H,tc_Message_Omsg)) = c_Set_Oinsert(V_X,c_Message_Oanalz(V_H),tc_Message_Omsg)
% 4.53/4.62 | c_in(c_Message_Osko__Message__Xanalz__insert__eq__I__1__1(V_H,V_X),c_Message_Oanalz(c_Set_Oinsert(V_X,V_H,tc_Message_Omsg)),tc_Message_Omsg) ) ).
% 4.53/4.62
% 4.53/4.62 cnf(cls_gen__analz__insert__eq_0,axiom,
% 4.53/4.62 ( c_Message_Oanalz(c_Set_Oinsert(V_X,V_G,tc_Message_Omsg)) = c_Message_Oanalz(V_G)
% 4.53/4.62 | ~ c_lessequals(V_H,V_G,tc_fun(tc_Message_Omsg,tc_bool))
% 4.53/4.62 | ~ c_in(V_X,c_Message_Oanalz(V_H),tc_Message_Omsg) ) ).
% 4.53/4.62
% 4.53/4.62 cnf(cls_Nonce__notin__initState_0,axiom,
% 4.53/4.62 ~ c_in(c_Message_Omsg_ONonce(V_N),c_Message_Oparts(c_Event_OinitState(V_B)),tc_Message_Omsg) ).
% 4.53/4.62
% 4.53/4.62 cnf(cls_Nonce__Key__image__eq_0,axiom,
% 4.53/4.62 ~ 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) ).
% 4.53/4.62
% 4.53/4.62 cnf(cls_analz__insert__Crypt__subset_0,axiom,
% 4.53/4.62 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)) ).
% 4.53/4.62
% 4.53/4.62 cnf(cls_neq__shrK_0,axiom,
% 4.53/4.62 c_in(hAPP(c_Message_Omsg_OKey,hAPP(c_Public_OshrK,V_B)),c_Event_Oused(V_evs),tc_Message_Omsg) ).
% 4.53/4.62
% 4.53/4.62 cnf(cls_shrK__in__used_0,axiom,
% 4.53/4.62 c_in(hAPP(c_Message_Omsg_OKey,hAPP(c_Public_OshrK,V_A)),c_Event_Oused(V_evs),tc_Message_Omsg) ).
% 4.53/4.62
% 4.53/4.62 cnf(cls_shrK__in__initState_0,axiom,
% 4.53/4.62 c_in(hAPP(c_Message_Omsg_OKey,hAPP(c_Public_OshrK,V_A)),c_Event_OinitState(V_A),tc_Message_Omsg) ).
% 4.53/4.62
% 4.53/4.62 cnf(cls_knows__Says_0,axiom,
% 4.53/4.62 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) ).
% 4.53/4.62
% 4.53/4.62 cnf(cls_analz__insert__freshK_1,axiom,
% 4.53/4.62 ( 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)
% 4.53/4.62 | ~ c_in(V_evs,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))
% 4.53/4.62 | 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) ) ).
% 4.53/4.62
% 4.53/4.62 cnf(cls_analz__insert__freshK_0,axiom,
% 4.53/4.62 ( c_in(hAPP(c_Message_Omsg_OKey,V_K),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,V_evs)),tc_Message_Omsg)
% 4.53/4.62 | V_K = V_KAB
% 4.53/4.62 | ~ 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)
% 4.53/4.62 | 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)
% 4.53/4.62 | ~ c_in(V_evs,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent)) ) ).
% 4.53/4.62
% 4.53/4.62 cnf(cls_analz__insert__freshK_2,axiom,
% 4.53/4.62 ( 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)
% 4.53/4.62 | ~ c_in(hAPP(c_Message_Omsg_OKey,V_K),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,V_evs)),tc_Message_Omsg)
% 4.53/4.62 | 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)
% 4.53/4.62 | ~ c_in(V_evs,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent)) ) ).
% 4.53/4.62
% 4.53/4.62 cnf(cls_ns__shared_ONS4_0,axiom,
% 4.53/4.62 ( 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))
% 4.53/4.62 | ~ 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)
% 4.53/4.62 | ~ c_in(V_K,c_Message_OsymKeys,tc_nat)
% 4.53/4.62 | c_in(c_Message_Omsg_ONonce(V_NB),c_Event_Oused(V_evs4),tc_Message_Omsg)
% 4.53/4.62 | ~ c_in(V_evs4,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent)) ) ).
% 4.53/4.62
% 4.53/4.62 cnf(cls_Spy__spies__bad__privateKey_0,axiom,
% 4.53/4.62 ( 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)
% 4.53/4.62 | ~ c_in(V_A,c_Event_Obad,tc_Message_Oagent) ) ).
% 4.53/4.62
% 4.53/4.62 cnf(cls_ns__shared_ONS2_0,axiom,
% 4.53/4.62 ( 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))
% 4.53/4.62 | ~ 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)
% 4.53/4.62 | ~ c_in(V_KAB,c_Message_OsymKeys,tc_nat)
% 4.53/4.62 | c_in(hAPP(c_Message_Omsg_OKey,V_KAB),c_Event_Oused(V_evs2),tc_Message_Omsg)
% 4.53/4.62 | ~ c_in(V_evs2,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent)) ) ).
% 4.53/4.62
% 4.53/4.62 cnf(cls_ns__shared_OFake_0,axiom,
% 4.53/4.62 ( 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))
% 4.53/4.62 | ~ c_in(V_X,c_Message_Osynth(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,V_evsf))),tc_Message_Omsg)
% 4.53/4.62 | ~ c_in(V_evsf,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent)) ) ).
% 4.53/4.62
% 4.53/4.62 cnf(cls_ns__sharedp_OOops_0,axiom,
% 4.53/4.62 ( 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))
% 4.53/4.62 | ~ 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)
% 4.53/4.62 | ~ 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)
% 4.53/4.62 | ~ c_NS__Shared__Mirabelle_Ons__sharedp(V_evso) ) ).
% 4.53/4.62
% 4.53/4.62 cnf(cls_ns__shared_ONS5_0,axiom,
% 4.53/4.62 ( 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))
% 4.53/4.62 | ~ 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)
% 4.53/4.62 | ~ 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)
% 4.53/4.62 | ~ c_in(V_K,c_Message_OsymKeys,tc_nat)
% 4.53/4.62 | ~ c_in(V_evs5,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent)) ) ).
% 4.53/4.62
% 4.53/4.62 cnf(cls_Says__Server__message__form_0,axiom,
% 4.53/4.62 ( ~ 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)
% 4.53/4.62 | ~ c_in(V_evs,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))
% 4.53/4.62 | ~ 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) ) ).
% 4.53/4.62
% 4.53/4.62 cnf(cls_analz_ODecrypt_0,axiom,
% 4.53/4.62 ( c_in(V_X,c_Message_Oanalz(V_H),tc_Message_Omsg)
% 4.53/4.62 | ~ c_in(hAPP(c_Message_Omsg_OKey,c_Message_OinvKey(V_K)),c_Message_Oanalz(V_H),tc_Message_Omsg)
% 4.53/4.62 | ~ c_in(c_Message_Omsg_OCrypt(V_K,V_X),c_Message_Oanalz(V_H),tc_Message_Omsg) ) ).
% 4.53/4.62
% 4.53/4.62 cnf(cls_usedI_0,axiom,
% 4.53/4.62 ( c_in(V_c,c_Event_Oused(V_evs),tc_Message_Omsg)
% 4.53/4.62 | ~ c_in(V_c,c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,V_evs)),tc_Message_Omsg) ) ).
% 4.53/4.62
% 4.53/4.62 cnf(cls_spies__pubK_0,axiom,
% 4.53/4.62 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) ).
% 4.53/4.62
% 4.53/4.62 cnf(cls_knows__Spy__Says_0,axiom,
% 4.53/4.62 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) ).
% 4.53/4.62
% 4.53/4.62 cnf(cls_Notes__imp__knows_0,axiom,
% 4.53/4.62 ( c_in(V_X,c_Event_Oknows(V_A,V_evs),tc_Message_Omsg)
% 4.53/4.62 | ~ c_in(c_Event_Oevent_ONotes(V_A,V_X),c_List_Oset(V_evs,tc_Event_Oevent),tc_Event_Oevent) ) ).
% 4.53/4.62
% 4.53/4.62 cnf(cls_ns__shared_ONS1_0,axiom,
% 4.53/4.62 ( 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))
% 4.53/4.62 | c_in(c_Message_Omsg_ONonce(V_NA),c_Event_Oused(V_evs1),tc_Message_Omsg)
% 4.53/4.62 | ~ c_in(V_evs1,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent)) ) ).
% 4.53/4.62
% 4.53/4.62 cnf(cls_Says__imp__used_0,axiom,
% 4.53/4.62 ( c_in(V_X,c_Event_Oused(V_evs),tc_Message_Omsg)
% 4.53/4.62 | ~ c_in(c_Event_Oevent_OSays(V_A,V_B,V_X),c_List_Oset(V_evs,tc_Event_Oevent),tc_Event_Oevent) ) ).
% 4.53/4.62
% 4.53/4.62 cnf(cls_cert__A__form_0,axiom,
% 4.53/4.62 ( ~ 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)
% 4.53/4.62 | ~ c_in(V_evs,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))
% 4.53/4.62 | c_in(V_A,c_Event_Obad,tc_Message_Oagent)
% 4.53/4.62 | ~ 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) ) ).
% 4.53/4.62
% 4.53/4.62 cnf(cls_analz__Crypt__if_1,axiom,
% 4.53/4.62 ( 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)
% 4.53/4.62 | c_in(hAPP(c_Message_Omsg_OKey,c_Message_OinvKey(V_K)),c_Message_Oanalz(V_H),tc_Message_Omsg) ) ).
% 4.53/4.62
% 4.53/4.62 cnf(cls_analz__Crypt__if_0,axiom,
% 4.53/4.62 ( 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)
% 4.53/4.62 | ~ c_in(hAPP(c_Message_Omsg_OKey,c_Message_OinvKey(V_K)),c_Message_Oanalz(V_H),tc_Message_Omsg) ) ).
% 4.53/4.62
% 4.53/4.62 cnf(cls_analz__spies__pubK_0,axiom,
% 4.53/4.62 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) ).
% 4.53/4.62
% 4.53/4.62 cnf(cls_analz__mono__contra_I1_J_0,axiom,
% 4.53/4.62 ( ~ c_in(V_c,c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,V_evs)),tc_Message_Omsg)
% 4.53/4.62 | 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) ) ).
% 4.53/4.62
% 4.53/4.62 cnf(cls_Says__S__message__form_0,axiom,
% 4.53/4.62 ( c_in(V_X,c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,V_evs)),tc_Message_Omsg)
% 4.53/4.62 | ~ 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)
% 4.53/4.62 | ~ c_in(V_evs,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))
% 4.53/4.62 | ~ 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) ) ).
% 4.53/4.62
% 4.53/4.62 cnf(cls_ns__sharedp_ONS3_0,axiom,
% 4.53/4.62 ( 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))
% 4.53/4.62 | ~ 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)
% 4.53/4.62 | ~ 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)
% 4.53/4.62 | V_A = c_Message_Oagent_OServer
% 4.53/4.62 | ~ c_NS__Shared__Mirabelle_Ons__sharedp(V_evs3) ) ).
% 4.53/4.62
% 4.53/4.62 cnf(cls_Gets__imp__knows__agents_0,axiom,
% 4.53/4.62 ( c_in(V_X,c_Event_Oknows(V_A,V_evs),tc_Message_Omsg)
% 4.53/4.62 | ~ c_in(c_Event_Oevent_OGets(V_A,V_X),c_List_Oset(V_evs,tc_Event_Oevent),tc_Event_Oevent)
% 4.53/4.62 | V_A = c_Message_Oagent_OSpy ) ).
% 4.53/4.62
% 4.53/4.62 cnf(cls_B__trusts__NS5_0,axiom,
% 4.53/4.62 ( 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)
% 4.53/4.62 | ~ c_in(V_evs,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))
% 4.53/4.62 | c_in(V_B,c_Event_Obad,tc_Message_Oagent)
% 4.53/4.62 | c_in(V_A,c_Event_Obad,tc_Message_Oagent)
% 4.53/4.62 | 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)
% 4.53/4.62 | ~ 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)
% 4.53/4.62 | ~ 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) ) ).
% 4.53/4.62
% 4.53/4.62 cnf(cls_ns__shared_OOops_0,axiom,
% 4.53/4.62 ( 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))
% 4.53/4.62 | ~ 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)
% 4.53/4.62 | ~ 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)
% 4.53/4.62 | ~ c_in(V_evso,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent)) ) ).
% 4.53/4.62
% 4.53/4.62 cnf(cls_Notes__imp__knows__Spy_0,axiom,
% 4.53/4.62 ( c_in(V_X,c_Event_Oknows(c_Message_Oagent_OSpy,V_evs),tc_Message_Omsg)
% 4.53/4.62 | ~ c_in(V_A,c_Event_Obad,tc_Message_Oagent)
% 4.53/4.62 | ~ c_in(c_Event_Oevent_ONotes(V_A,V_X),c_List_Oset(V_evs,tc_Event_Oevent),tc_Event_Oevent) ) ).
% 4.53/4.62
% 4.53/4.62 cnf(cls_Spy__not__see__encrypted__key_0,axiom,
% 4.53/4.62 ( ~ c_in(hAPP(c_Message_Omsg_OKey,V_K),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,V_evs)),tc_Message_Omsg)
% 4.53/4.62 | ~ c_in(V_evs,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))
% 4.53/4.62 | c_in(V_B,c_Event_Obad,tc_Message_Oagent)
% 4.53/4.62 | c_in(V_A,c_Event_Obad,tc_Message_Oagent)
% 4.53/4.62 | 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)
% 4.53/4.62 | ~ 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) ) ).
% 4.53/4.62
% 4.53/4.62 cnf(cls_A__trusts__NS4_0,axiom,
% 4.53/4.62 ( 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)
% 4.53/4.62 | ~ c_in(V_evs,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))
% 4.53/4.62 | c_in(V_B,c_Event_Obad,tc_Message_Oagent)
% 4.53/4.62 | c_in(V_A,c_Event_Obad,tc_Message_Oagent)
% 4.53/4.62 | 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)
% 4.53/4.62 | ~ 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)
% 4.53/4.62 | ~ 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) ) ).
% 4.53/4.62
% 4.53/4.62 cnf(cls_secrecy__lemma_0,axiom,
% 4.53/4.62 ( ~ c_in(hAPP(c_Message_Omsg_OKey,V_K),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,V_evs)),tc_Message_Omsg)
% 4.53/4.62 | 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)
% 4.53/4.62 | ~ c_in(V_evs,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))
% 4.53/4.62 | c_in(V_B,c_Event_Obad,tc_Message_Oagent)
% 4.53/4.62 | c_in(V_A,c_Event_Obad,tc_Message_Oagent)
% 4.53/4.62 | ~ 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) ) ).
% 4.53/4.62
% 4.53/4.62 cnf(cls_ns__shared_ONS3_0,axiom,
% 4.53/4.62 ( 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))
% 4.53/4.62 | ~ 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)
% 4.53/4.62 | ~ 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)
% 4.53/4.62 | V_A = c_Message_Oagent_OServer
% 4.53/4.62 | ~ c_in(V_evs3,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent)) ) ).
% 4.53/4.62
% 4.53/4.62 cnf(cls_B__Issues__A_0,axiom,
% 4.53/4.62 ( c_NS__Shared__Mirabelle_OIssues(V_B,V_A,c_Message_Omsg_OCrypt(V_K,c_Message_Omsg_ONonce(V_Nb)),V_evs)
% 4.53/4.62 | ~ c_in(V_evs,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))
% 4.53/4.62 | c_in(V_B,c_Event_Obad,tc_Message_Oagent)
% 4.53/4.62 | c_in(V_A,c_Event_Obad,tc_Message_Oagent)
% 4.53/4.62 | c_in(hAPP(c_Message_Omsg_OKey,V_K),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,V_evs)),tc_Message_Omsg)
% 4.53/4.62 | ~ 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) ) ).
% 4.53/4.62
% 4.53/4.62 cnf(cls_A__authenticates__and__keydist__to__B_0,axiom,
% 4.53/4.62 ( c_NS__Shared__Mirabelle_OIssues(V_B,V_A,c_Message_Omsg_OCrypt(V_K,c_Message_Omsg_ONonce(V_NB)),V_evs)
% 4.53/4.62 | ~ c_in(V_evs,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))
% 4.53/4.62 | c_in(V_B,c_Event_Obad,tc_Message_Oagent)
% 4.53/4.62 | c_in(V_A,c_Event_Obad,tc_Message_Oagent)
% 4.53/4.62 | c_in(hAPP(c_Message_Omsg_OKey,V_K),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,V_evs)),tc_Message_Omsg)
% 4.53/4.62 | ~ 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)
% 4.53/4.62 | ~ 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) ) ).
% 4.53/4.62
% 4.53/4.62 cnf(cls_NS4__implies__NS3_0,axiom,
% 4.53/4.62 ( 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)
% 4.53/4.62 | ~ 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)
% 4.53/4.62 | ~ 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)
% 4.53/4.62 | c_in(hAPP(c_Message_Omsg_OKey,V_K),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,V_evs)),tc_Message_Omsg)
% 4.53/4.62 | ~ c_in(V_evs,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent)) ) ).
% 4.53/4.62
% 4.53/4.62 cnf(cls_B__trusts__NS3_0,axiom,
% 4.53/4.62 ( 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)
% 4.53/4.62 | ~ c_in(V_evs,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))
% 4.53/4.62 | c_in(V_B,c_Event_Obad,tc_Message_Oagent)
% 4.53/4.62 | ~ 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) ) ).
% 4.53/4.62
% 4.53/4.62 cnf(cls_analz__insert__cong_0,axiom,
% 4.53/4.62 ( c_Message_Oanalz(V_H) != c_Message_Oanalz(V_H_H)
% 4.53/4.62 | 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)) ) ).
% 4.53/4.62
% 4.53/4.62 cnf(cls_parts__insert__Key_0,axiom,
% 4.53/4.62 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) ).
% 4.53/4.62
% 4.53/4.62 cnf(cls_parts_OFst_0,axiom,
% 4.53/4.62 ( c_in(V_X,c_Message_Oparts(V_H),tc_Message_Omsg)
% 4.53/4.62 | ~ c_in(c_Message_Omsg_OMPair(V_X,V_Y),c_Message_Oparts(V_H),tc_Message_Omsg) ) ).
% 4.53/4.62
% 4.53/4.62 cnf(cls_parts_OSnd_0,axiom,
% 4.53/4.62 ( c_in(V_Y,c_Message_Oparts(V_H),tc_Message_Omsg)
% 4.53/4.62 | ~ c_in(c_Message_Omsg_OMPair(V_X,V_Y),c_Message_Oparts(V_H),tc_Message_Omsg) ) ).
% 4.53/4.62
% 4.53/4.62 cnf(cls_pushes_I1_J_0,axiom,
% 4.53/4.62 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) ).
% 4.53/4.62
% 4.53/4.62 cnf(cls_analz_OFst_0,axiom,
% 4.53/4.62 ( c_in(V_X,c_Message_Oanalz(V_H),tc_Message_Omsg)
% 4.53/4.62 | ~ c_in(c_Message_Omsg_OMPair(V_X,V_Y),c_Message_Oanalz(V_H),tc_Message_Omsg) ) ).
% 4.53/4.62
% 4.53/4.62 cnf(cls_analz_OSnd_0,axiom,
% 4.53/4.62 ( c_in(V_Y,c_Message_Oanalz(V_H),tc_Message_Omsg)
% 4.53/4.62 | ~ c_in(c_Message_Omsg_OMPair(V_X,V_Y),c_Message_Oanalz(V_H),tc_Message_Omsg) ) ).
% 4.53/4.62
% 4.53/4.62 cnf(cls_analz__idem_0,axiom,
% 4.53/4.62 c_Message_Oanalz(c_Message_Oanalz(V_H)) = c_Message_Oanalz(V_H) ).
% 4.53/4.62
% 4.53/4.62 cnf(cls_Says__imp__knows_0,axiom,
% 4.53/4.62 ( c_in(V_X,c_Event_Oknows(V_A,V_evs),tc_Message_Omsg)
% 4.53/4.62 | ~ c_in(c_Event_Oevent_OSays(V_A,V_B,V_X),c_List_Oset(V_evs,tc_Event_Oevent),tc_Event_Oevent) ) ).
% 4.53/4.62
% 4.53/4.62 cnf(cls_parts__analz_0,axiom,
% 4.53/4.62 c_Message_Oparts(c_Message_Oanalz(V_H)) = c_Message_Oparts(V_H) ).
% 4.53/4.62
% 4.53/4.62 cnf(cls_parts__insertI_0,axiom,
% 4.53/4.62 ( c_in(V_c,c_Message_Oparts(c_Set_Oinsert(V_a,V_G,tc_Message_Omsg)),tc_Message_Omsg)
% 4.53/4.62 | ~ c_in(V_c,c_Message_Oparts(V_G),tc_Message_Omsg) ) ).
% 4.53/4.62
% 4.53/4.62 cnf(cls_msg_Osimps_I1_J_0,axiom,
% 4.53/4.62 ( c_Message_Omsg_OAgent(V_agent) != c_Message_Omsg_OAgent(V_agent_H)
% 4.53/4.62 | V_agent = V_agent_H ) ).
% 4.53/4.62
% 4.53/4.62 cnf(cls_insert__iff_2,axiom,
% 4.53/4.62 ( c_in(V_a,c_Set_Oinsert(V_b,V_A,T_a),T_a)
% 4.53/4.62 | ~ c_in(V_a,V_A,T_a) ) ).
% 4.53/4.62
% 4.53/4.62 cnf(cls_insertCI_0,axiom,
% 4.53/4.62 ( c_in(V_a,c_Set_Oinsert(V_b,V_B,T_a),T_a)
% 4.53/4.62 | ~ c_in(V_a,V_B,T_a) ) ).
% 4.53/4.62
% 4.53/4.62 cnf(cls_msg_Osimps_I37_J_0,axiom,
% 4.53/4.62 c_Message_Omsg_OCrypt(V_nat_H,V_msg_H) != c_Message_Omsg_ONonce(V_nat) ).
% 4.53/4.62
% 4.53/4.62 cnf(cls_msg_Osimps_I12_J_0,axiom,
% 4.53/4.62 c_Message_Omsg_OAgent(V_agent) != hAPP(c_Message_Omsg_OKey,V_nat_H) ).
% 4.53/4.62
% 4.53/4.62 cnf(cls_msg_Osimps_I31_J_0,axiom,
% 4.53/4.62 hAPP(c_Message_Omsg_OKey,V_nat_H) != c_Message_Omsg_ONonce(V_nat) ).
% 4.53/4.62
% 4.53/4.62 cnf(cls_parts__insert__Nonce_0,axiom,
% 4.53/4.62 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) ).
% 4.53/4.62
% 4.53/4.62 cnf(cls_event_Osimps_I1_J_0,axiom,
% 4.53/4.62 ( c_Event_Oevent_OSays(V_agent1,V_agent2,V_msg) != c_Event_Oevent_OSays(V_agent1_H,V_agent2_H,V_msg_H)
% 4.53/4.62 | V_agent1 = V_agent1_H ) ).
% 4.53/4.62
% 4.53/4.62 cnf(cls_event_Osimps_I1_J_1,axiom,
% 4.53/4.62 ( c_Event_Oevent_OSays(V_agent1,V_agent2,V_msg) != c_Event_Oevent_OSays(V_agent1_H,V_agent2_H,V_msg_H)
% 4.53/4.62 | V_agent2 = V_agent2_H ) ).
% 4.53/4.62
% 4.53/4.62 cnf(cls_event_Osimps_I1_J_2,axiom,
% 4.53/4.62 ( c_Event_Oevent_OSays(V_agent1,V_agent2,V_msg) != c_Event_Oevent_OSays(V_agent1_H,V_agent2_H,V_msg_H)
% 4.53/4.62 | V_msg = V_msg_H ) ).
% 4.53/4.62
% 4.53/4.62 cnf(cls_parts_OInj_0,axiom,
% 4.53/4.62 ( c_in(V_X,c_Message_Oparts(V_H),tc_Message_Omsg)
% 4.53/4.62 | ~ c_in(V_X,V_H,tc_Message_Omsg) ) ).
% 4.53/4.62
% 4.53/4.62 cnf(cls_analz_OInj_0,axiom,
% 4.53/4.62 ( c_in(V_X,c_Message_Oanalz(V_H),tc_Message_Omsg)
% 4.53/4.62 | ~ c_in(V_X,V_H,tc_Message_Omsg) ) ).
% 4.53/4.62
% 4.53/4.62 cnf(cls_insert__code_1,axiom,
% 4.53/4.62 hBOOL(hAPP(c_Set_Oinsert(V_x,V_A,T_a),V_x)) ).
% 4.53/4.62
% 4.53/4.62 cnf(cls_Says__imp__parts__knows__Spy_0,axiom,
% 4.53/4.62 ( c_in(V_X,c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,V_evs)),tc_Message_Omsg)
% 4.53/4.62 | ~ c_in(c_Event_Oevent_OSays(V_A,V_B,V_X),c_List_Oset(V_evs,tc_Event_Oevent),tc_Event_Oevent) ) ).
% 4.53/4.62
% 4.53/4.62 cnf(cls_Says__imp__spies_0,axiom,
% 4.53/4.62 ( c_in(V_X,c_Event_Oknows(c_Message_Oagent_OSpy,V_evs),tc_Message_Omsg)
% 4.53/4.62 | ~ c_in(c_Event_Oevent_OSays(V_A,V_B,V_X),c_List_Oset(V_evs,tc_Event_Oevent),tc_Event_Oevent) ) ).
% 4.53/4.62
% 4.53/4.62 cnf(cls_Spy__in__bad_0,axiom,
% 4.53/4.62 c_in(c_Message_Oagent_OSpy,c_Event_Obad,tc_Message_Oagent) ).
% 4.53/4.62
% 4.53/4.62 cnf(cls_parts__cut__eq_0,axiom,
% 4.53/4.62 ( c_Message_Oparts(c_Set_Oinsert(V_X,V_H,tc_Message_Omsg)) = c_Message_Oparts(V_H)
% 4.53/4.62 | ~ c_in(V_X,c_Message_Oparts(V_H),tc_Message_Omsg) ) ).
% 4.53/4.62
% 4.53/4.62 cnf(cls_NS3__msg__in__parts__spies_0,axiom,
% 4.53/4.62 ( c_in(V_X,c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,V_evs)),tc_Message_Omsg)
% 4.53/4.62 | ~ 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) ) ).
% 4.53/4.62
% 4.53/4.62 cnf(cls_msg_Osimps_I43_J_0,axiom,
% 4.53/4.62 c_Message_Omsg_OCrypt(V_nat_H,V_msg_H) != hAPP(c_Message_Omsg_OKey,V_nat) ).
% 4.53/4.62
% 4.53/4.62 cnf(cls_parts__idem_0,axiom,
% 4.53/4.62 c_Message_Oparts(c_Message_Oparts(V_H)) = c_Message_Oparts(V_H) ).
% 4.53/4.62
% 4.53/4.62 cnf(cls_insertE_0,axiom,
% 4.53/4.62 ( c_in(V_a,V_A,T_a)
% 4.53/4.62 | V_a = V_b
% 4.53/4.62 | ~ c_in(V_a,c_Set_Oinsert(V_b,V_A,T_a),T_a) ) ).
% 4.53/4.62
% 4.53/4.62 cnf(cls_msg_Osimps_I30_J_0,axiom,
% 4.53/4.62 c_Message_Omsg_ONonce(V_nat) != hAPP(c_Message_Omsg_OKey,V_nat_H) ).
% 4.53/4.62
% 4.53/4.62 cnf(cls_analz__parts_0,axiom,
% 4.53/4.62 c_Message_Oanalz(c_Message_Oparts(V_H)) = c_Message_Oparts(V_H) ).
% 4.53/4.62
% 4.53/4.62 cnf(cls_msg_Osimps_I17_J_0,axiom,
% 4.53/4.62 c_Message_Omsg_OMPair(V_msg1_H,V_msg2_H) != c_Message_Omsg_OAgent(V_agent) ).
% 4.53/4.62
% 4.53/4.62 cnf(cls_A__trusts__NS4__lemma_0,axiom,
% 4.53/4.62 ( 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)
% 4.53/4.62 | ~ 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)
% 4.53/4.62 | ~ 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)
% 4.53/4.62 | c_in(hAPP(c_Message_Omsg_OKey,V_K),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,V_evs)),tc_Message_Omsg)
% 4.53/4.62 | ~ c_in(V_evs,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent)) ) ).
% 4.53/4.62
% 4.53/4.62 cnf(cls_Says__Server__message__form_2,axiom,
% 4.53/4.62 ( V_K_H = hAPP(c_Public_OshrK,V_A)
% 4.53/4.62 | ~ c_in(V_evs,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))
% 4.53/4.62 | ~ 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) ) ).
% 4.53/4.62
% 4.53/4.62 cnf(cls_pushes_I6_J_0,axiom,
% 4.53/4.62 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) ).
% 4.53/4.62
% 4.53/4.62 cnf(cls_msg_Osimps_I11_J_0,axiom,
% 4.53/4.62 c_Message_Omsg_ONonce(V_nat_H) != c_Message_Omsg_OAgent(V_agent) ).
% 4.53/4.62
% 4.53/4.62 cnf(cls_parts_OBody_0,axiom,
% 4.53/4.62 ( c_in(V_X,c_Message_Oparts(V_H),tc_Message_Omsg)
% 4.53/4.62 | ~ c_in(c_Message_Omsg_OCrypt(V_K,V_X),c_Message_Oparts(V_H),tc_Message_Omsg) ) ).
% 4.53/4.62
% 4.53/4.62 cnf(cls_analz__shrK__Decrypt_0,axiom,
% 4.53/4.62 ( c_in(V_X,c_Message_Oanalz(V_H),tc_Message_Omsg)
% 4.53/4.62 | ~ c_in(hAPP(c_Message_Omsg_OKey,hAPP(c_Public_OshrK,V_A)),c_Message_Oanalz(V_H),tc_Message_Omsg)
% 4.53/4.62 | ~ c_in(c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,V_A),V_X),c_Message_Oanalz(V_H),tc_Message_Omsg) ) ).
% 4.53/4.62
% 4.53/4.62 cnf(cls_Spy__see__shrK_1,axiom,
% 4.53/4.62 ( 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)
% 4.53/4.62 | ~ c_in(V_A,c_Event_Obad,tc_Message_Oagent)
% 4.53/4.62 | ~ c_in(V_evs,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent)) ) ).
% 4.53/4.62
% 4.53/4.62 cnf(cls_Spy__see__shrK_0,axiom,
% 4.53/4.62 ( c_in(V_A,c_Event_Obad,tc_Message_Oagent)
% 4.53/4.62 | ~ 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)
% 4.53/4.62 | ~ c_in(V_evs,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent)) ) ).
% 4.53/4.62
% 4.53/4.62 cnf(cls_agent_Osimps_I4_J_0,axiom,
% 4.53/4.62 c_Message_Oagent_OServer != c_Message_Oagent_OSpy ).
% 4.53/4.62
% 4.53/4.62 cnf(cls_Says__imp__analz__Spy_0,axiom,
% 4.53/4.62 ( c_in(V_X,c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,V_evs)),tc_Message_Omsg)
% 4.53/4.62 | ~ c_in(c_Event_Oevent_OSays(V_A,V_B,V_X),c_List_Oset(V_evs,tc_Event_Oevent),tc_Event_Oevent) ) ).
% 4.53/4.62
% 4.53/4.62 cnf(cls_parts__partsD_0,axiom,
% 4.53/4.62 ( c_in(V_X,c_Message_Oparts(V_H),tc_Message_Omsg)
% 4.53/4.62 | ~ c_in(V_X,c_Message_Oparts(c_Message_Oparts(V_H)),tc_Message_Omsg) ) ).
% 4.53/4.62
% 4.53/4.62 cnf(cls_parts__insert__Agent_0,axiom,
% 4.53/4.62 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) ).
% 4.53/4.62
% 4.53/4.62 cnf(cls_parts__insert__MPair_0,axiom,
% 4.53/4.62 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) ).
% 4.53/4.62
% 4.53/4.62 cnf(cls_unique__session__keys_0,axiom,
% 4.53/4.62 ( V_A = V_A_H
% 4.53/4.62 | ~ c_in(V_evs,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))
% 4.53/4.62 | ~ 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)
% 4.53/4.62 | ~ 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) ) ).
% 4.53/4.62
% 4.53/4.62 cnf(cls_unique__session__keys_1,axiom,
% 4.53/4.62 ( V_NA = V_NA_H
% 4.53/4.62 | ~ c_in(V_evs,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))
% 4.53/4.62 | ~ 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)
% 4.53/4.62 | ~ 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) ) ).
% 4.53/4.62
% 4.53/4.62 cnf(cls_unique__session__keys_2,axiom,
% 4.53/4.62 ( V_B = V_B_H
% 4.53/4.62 | ~ c_in(V_evs,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))
% 4.53/4.62 | ~ 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)
% 4.53/4.62 | ~ 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) ) ).
% 4.53/4.62
% 4.53/4.62 cnf(cls_unique__session__keys_3,axiom,
% 4.53/4.62 ( V_X = V_X_H
% 4.53/4.62 | ~ c_in(V_evs,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))
% 4.53/4.62 | ~ 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)
% 4.53/4.62 | ~ 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) ) ).
% 4.53/4.62
% 4.53/4.62 cnf(cls_cert__A__form_1,axiom,
% 4.53/4.62 ( 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)))
% 4.53/4.62 | ~ c_in(V_evs,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))
% 4.53/4.62 | c_in(V_A,c_Event_Obad,tc_Message_Oagent)
% 4.53/4.62 | ~ 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) ) ).
% 4.53/4.62
% 4.53/4.62 cnf(cls_pushes_I9_J_0,axiom,
% 4.53/4.62 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) ).
% 4.53/4.62
% 4.53/4.62 cnf(cls_msg_Osimps_I4_J_0,axiom,
% 4.53/4.62 ( hAPP(c_Message_Omsg_OKey,V_nat) != hAPP(c_Message_Omsg_OKey,V_nat_H)
% 4.53/4.62 | V_nat = V_nat_H ) ).
% 4.53/4.62
% 4.53/4.62 cnf(cls_msg_Osimps_I16_J_0,axiom,
% 4.53/4.62 c_Message_Omsg_OAgent(V_agent) != c_Message_Omsg_OMPair(V_msg1_H,V_msg2_H) ).
% 4.53/4.62
% 4.53/4.62 cnf(cls_insert__code_0,axiom,
% 4.53/4.62 ( hBOOL(hAPP(V_A,V_x))
% 4.53/4.62 | V_y = V_x
% 4.53/4.62 | ~ hBOOL(hAPP(c_Set_Oinsert(V_y,V_A,T_a),V_x)) ) ).
% 4.53/4.62
% 4.53/4.62 cnf(cls_Spy__spies__bad__shrK_0,axiom,
% 4.53/4.62 ( 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)
% 4.53/4.62 | ~ c_in(V_A,c_Event_Obad,tc_Message_Oagent) ) ).
% 4.53/4.62
% 4.53/4.62 cnf(cls_insert__absorb2_0,axiom,
% 4.53/4.62 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) ).
% 4.53/4.62
% 4.53/4.62 cnf(cls_analz__insert__Nonce_0,axiom,
% 4.53/4.62 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) ).
% 4.53/4.62
% 4.53/4.62 cnf(cls_analz__cut_0,axiom,
% 4.53/4.62 ( c_in(V_Y,c_Message_Oanalz(V_H),tc_Message_Omsg)
% 4.53/4.62 | ~ c_in(V_X,c_Message_Oanalz(V_H),tc_Message_Omsg)
% 4.53/4.62 | ~ c_in(V_Y,c_Message_Oanalz(c_Set_Oinsert(V_X,V_H,tc_Message_Omsg)),tc_Message_Omsg) ) ).
% 4.53/4.62
% 4.53/4.62 cnf(cls_Oops__parts__spies_0,axiom,
% 4.53/4.62 ( c_in(V_K,c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,V_evs)),tc_Message_Omsg)
% 4.53/4.62 | ~ 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) ) ).
% 4.53/4.62
% 4.53/4.62 cnf(cls_msg_Osimps_I18_J_0,axiom,
% 4.53/4.62 c_Message_Omsg_OAgent(V_agent) != c_Message_Omsg_OCrypt(V_nat_H,V_msg_H) ).
% 4.53/4.62
% 4.53/4.62 cnf(cls_msg_Osimps_I34_J_0,axiom,
% 4.53/4.62 c_Message_Omsg_ONonce(V_nat) != c_Message_Omsg_OMPair(V_msg1_H,V_msg2_H) ).
% 4.53/4.62
% 4.53/4.62 cnf(cls_msg_Osimps_I48_J_0,axiom,
% 4.53/4.62 c_Message_Omsg_OMPair(V_msg1,V_msg2) != c_Message_Omsg_OCrypt(V_nat_H,V_msg_H) ).
% 4.53/4.62
% 4.53/4.62 cnf(cls_msg_Osimps_I19_J_0,axiom,
% 4.53/4.62 c_Message_Omsg_OCrypt(V_nat_H,V_msg_H) != c_Message_Omsg_OAgent(V_agent) ).
% 4.53/4.62
% 4.53/4.62 cnf(cls_shrK__in__knows_0,axiom,
% 4.53/4.62 c_in(hAPP(c_Message_Omsg_OKey,hAPP(c_Public_OshrK,V_A)),c_Event_Oknows(V_A,V_evs),tc_Message_Omsg) ).
% 4.53/4.62
% 4.53/4.62 cnf(cls_msg_Osimps_I13_J_0,axiom,
% 4.53/4.62 hAPP(c_Message_Omsg_OKey,V_nat_H) != c_Message_Omsg_OAgent(V_agent) ).
% 4.53/4.62
% 4.53/4.62 cnf(cls_Spy__analz__shrK_0,axiom,
% 4.53/4.62 ( c_in(V_A,c_Event_Obad,tc_Message_Oagent)
% 4.53/4.62 | ~ 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)
% 4.53/4.62 | ~ c_in(V_evs,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent)) ) ).
% 4.53/4.62
% 4.53/4.62 cnf(cls_Spy__analz__shrK_1,axiom,
% 4.53/4.62 ( 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)
% 4.53/4.62 | ~ c_in(V_A,c_Event_Obad,tc_Message_Oagent)
% 4.53/4.62 | ~ c_in(V_evs,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent)) ) ).
% 4.53/4.62
% 4.53/4.62 cnf(cls_analz__analzD_0,axiom,
% 4.53/4.62 ( c_in(V_X,c_Message_Oanalz(V_H),tc_Message_Omsg)
% 4.53/4.62 | ~ c_in(V_X,c_Message_Oanalz(c_Message_Oanalz(V_H)),tc_Message_Omsg) ) ).
% 4.53/4.62
% 4.53/4.62 cnf(cls_msg_Osimps_I3_J_0,axiom,
% 4.53/4.62 ( c_Message_Omsg_ONonce(V_nat) != c_Message_Omsg_ONonce(V_nat_H)
% 4.53/4.62 | V_nat = V_nat_H ) ).
% 4.53/4.62
% 4.53/4.62 cnf(cls_insert__iff_1,axiom,
% 4.53/4.62 c_in(V_x,c_Set_Oinsert(V_x,V_A,T_a),T_a) ).
% 4.53/4.62
% 4.53/4.62 cnf(cls_insertI1_0,axiom,
% 4.53/4.62 c_in(V_a,c_Set_Oinsert(V_a,V_B,T_a),T_a) ).
% 4.53/4.62
% 4.53/4.62 cnf(cls_insertCI_1,axiom,
% 4.53/4.62 c_in(V_x,c_Set_Oinsert(V_x,V_B,T_a),T_a) ).
% 4.53/4.62
% 4.53/4.62 cnf(cls_pushes_I12_J_0,axiom,
% 4.53/4.62 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) ).
% 4.53/4.62
% 4.53/4.62 cnf(cls_insert__commute_0,axiom,
% 4.53/4.62 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) ).
% 4.53/4.62
% 4.53/4.62 cnf(cls_mem__def_1,axiom,
% 4.53/4.62 ( c_in(V_x,V_S,T_a)
% 4.53/4.62 | ~ hBOOL(hAPP(V_S,V_x)) ) ).
% 4.53/4.62
% 4.53/4.62 cnf(cls_mem__def_0,axiom,
% 4.53/4.62 ( hBOOL(hAPP(V_S,V_x))
% 4.53/4.62 | ~ c_in(V_x,V_S,T_a) ) ).
% 4.53/4.62
% 4.53/4.62 cnf(cls_msg_Osimps_I36_J_0,axiom,
% 4.53/4.62 c_Message_Omsg_ONonce(V_nat) != c_Message_Omsg_OCrypt(V_nat_H,V_msg_H) ).
% 4.53/4.62
% 4.53/4.62 cnf(cls_msg_Osimps_I7_J_0,axiom,
% 4.53/4.62 ( c_Message_Omsg_OCrypt(V_nat,V_msg) != c_Message_Omsg_OCrypt(V_nat_H,V_msg_H)
% 4.53/4.62 | V_nat = V_nat_H ) ).
% 4.53/4.62
% 4.53/4.62 cnf(cls_msg_Osimps_I7_J_1,axiom,
% 4.53/4.62 ( c_Message_Omsg_OCrypt(V_nat,V_msg) != c_Message_Omsg_OCrypt(V_nat_H,V_msg_H)
% 4.53/4.62 | V_msg = V_msg_H ) ).
% 4.53/4.62
% 4.53/4.62 cnf(cls_Says__S__message__form_1,axiom,
% 4.53/4.62 ( c_in(V_X,c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,V_evs)),tc_Message_Omsg)
% 4.53/4.62 | 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)))
% 4.53/4.62 | ~ c_in(V_evs,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))
% 4.53/4.62 | ~ 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) ) ).
% 4.53/4.62
% 4.53/4.62 cnf(cls_A__trusts__NS2_0,axiom,
% 4.53/4.62 ( 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)
% 4.53/4.62 | ~ c_in(V_evs,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))
% 4.53/4.62 | c_in(V_A,c_Event_Obad,tc_Message_Oagent)
% 4.53/4.62 | ~ 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) ) ).
% 4.53/4.62
% 4.53/4.62 cnf(cls_pushes_I2_J_0,axiom,
% 4.53/4.62 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) ).
% 4.53/4.62
% 4.53/4.62 cnf(cls_parts__insert__Crypt_0,axiom,
% 4.53/4.62 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) ).
% 4.53/4.62
% 4.53/4.62 cnf(cls_msg_Osimps_I10_J_0,axiom,
% 4.53/4.62 c_Message_Omsg_OAgent(V_agent) != c_Message_Omsg_ONonce(V_nat_H) ).
% 4.53/4.62
% 4.53/4.62 cnf(cls_pushes_I8_J_0,axiom,
% 4.53/4.62 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) ).
% 4.53/4.62
% 4.53/4.62 cnf(cls_msg_Osimps_I6_J_0,axiom,
% 4.53/4.62 ( c_Message_Omsg_OMPair(V_msg1,V_msg2) != c_Message_Omsg_OMPair(V_msg1_H,V_msg2_H)
% 4.53/4.62 | V_msg1 = V_msg1_H ) ).
% 4.53/4.62
% 4.53/4.62 cnf(cls_msg_Osimps_I6_J_1,axiom,
% 4.53/4.62 ( c_Message_Omsg_OMPair(V_msg1,V_msg2) != c_Message_Omsg_OMPair(V_msg1_H,V_msg2_H)
% 4.53/4.62 | V_msg2 = V_msg2_H ) ).
% 4.53/4.62
% 4.53/4.62 cnf(cls_Crypt__Spy__analz__bad_0,axiom,
% 4.53/4.62 ( c_in(V_X,c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,V_evs)),tc_Message_Omsg)
% 4.53/4.62 | ~ c_in(V_A,c_Event_Obad,tc_Message_Oagent)
% 4.53/4.62 | ~ 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) ) ).
% 4.53/4.62
% 4.53/4.62 cnf(cls_insert__code_2,axiom,
% 4.53/4.62 ( hBOOL(hAPP(c_Set_Oinsert(V_y,V_A,T_a),V_x))
% 4.53/4.62 | ~ hBOOL(hAPP(V_A,V_x)) ) ).
% 4.53/4.62
% 4.53/4.62 cnf(cls_analz__insert__eq_0,axiom,
% 4.53/4.62 ( c_Message_Oanalz(c_Set_Oinsert(V_X,V_H,tc_Message_Omsg)) = c_Message_Oanalz(V_H)
% 4.53/4.62 | ~ c_in(V_X,c_Message_Oanalz(V_H),tc_Message_Omsg) ) ).
% 4.53/4.62
% 4.53/4.62 cnf(cls_insert__ident_0,axiom,
% 4.53/4.62 ( c_Set_Oinsert(V_x,V_A,T_a) != c_Set_Oinsert(V_x,V_B,T_a)
% 4.53/4.62 | c_in(V_x,V_B,T_a)
% 4.53/4.62 | c_in(V_x,V_A,T_a)
% 4.53/4.62 | V_A = V_B ) ).
% 4.53/4.62
% 4.53/4.62 cnf(cls_agent_Osimps_I5_J_0,axiom,
% 4.53/4.62 c_Message_Oagent_OSpy != c_Message_Oagent_OServer ).
% 4.53/4.62
% 4.53/4.62 cnf(cls_msg_Osimps_I35_J_0,axiom,
% 4.53/4.62 c_Message_Omsg_OMPair(V_msg1_H,V_msg2_H) != c_Message_Omsg_ONonce(V_nat) ).
% 4.53/4.62
% 4.53/4.62 cnf(cls_msg_Osimps_I49_J_0,axiom,
% 4.53/4.62 c_Message_Omsg_OCrypt(V_nat_H,V_msg_H) != c_Message_Omsg_OMPair(V_msg1,V_msg2) ).
% 4.53/4.62
% 4.53/4.62 cnf(cls_Says__Server__message__form_1,axiom,
% 4.53/4.62 ( 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)))
% 4.53/4.62 | ~ c_in(V_evs,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))
% 4.53/4.62 | ~ 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) ) ).
% 4.53/4.62
% 4.53/4.62 cnf(cls_analz__insert__Agent_0,axiom,
% 4.53/4.62 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) ).
% 4.53/4.62
% 4.53/4.62 cnf(cls_analz__insert__MPair_0,axiom,
% 4.53/4.62 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) ).
% 4.53/4.62
% 4.53/4.62 cnf(cls_msg_Osimps_I40_J_0,axiom,
% 4.53/4.62 hAPP(c_Message_Omsg_OKey,V_nat) != c_Message_Omsg_OMPair(V_msg1_H,V_msg2_H) ).
% 4.53/4.62
% 4.53/4.62 cnf(cls_insert__absorb_0,axiom,
% 4.53/4.62 ( c_Set_Oinsert(V_a,V_A,T_a) = V_A
% 4.53/4.62 | ~ c_in(V_a,V_A,T_a) ) ).
% 4.53/4.62
% 4.53/4.62 cnf(cls_B__trusts__NS5__lemma_0,axiom,
% 4.53/4.62 ( 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)
% 4.53/4.62 | ~ 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)
% 4.53/4.62 | ~ 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)
% 4.53/4.62 | c_in(hAPP(c_Message_Omsg_OKey,V_K),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,V_evs)),tc_Message_Omsg)
% 4.53/4.62 | ~ c_in(V_evs,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))
% 4.53/4.62 | c_in(V_B,c_Event_Obad,tc_Message_Oagent) ) ).
% 4.53/4.62
% 4.53/4.62 cnf(cls_Server__not__bad_0,axiom,
% 4.53/4.62 ~ c_in(c_Message_Oagent_OServer,c_Event_Obad,tc_Message_Oagent) ).
% 4.53/4.62
% 4.53/4.62 cnf(cls_analz__insertI_0,axiom,
% 4.53/4.62 ( c_in(V_c,c_Message_Oanalz(c_Set_Oinsert(V_a,V_G,tc_Message_Omsg)),tc_Message_Omsg)
% 4.53/4.62 | ~ c_in(V_c,c_Message_Oanalz(V_G),tc_Message_Omsg) ) ).
% 4.53/4.62
% 4.53/4.62 cnf(cls_msg_Osimps_I41_J_0,axiom,
% 4.53/4.62 c_Message_Omsg_OMPair(V_msg1_H,V_msg2_H) != hAPP(c_Message_Omsg_OKey,V_nat) ).
% 4.53/4.62
% 4.53/4.62 cnf(cls_msg_Osimps_I42_J_0,axiom,
% 4.53/4.62 hAPP(c_Message_Omsg_OKey,V_nat) != c_Message_Omsg_OCrypt(V_nat_H,V_msg_H) ).
% 4.53/4.62
% 4.53/4.62 cnf(cls_shrK__injective_0,axiom,
% 4.53/4.62 ( hAPP(c_Public_OshrK,V_x) != hAPP(c_Public_OshrK,V_y)
% 4.53/4.62 | V_x = V_y ) ).
% 4.53/4.62
% 4.53/4.62 cnf(cls_not__parts__not__analz_0,axiom,
% 4.53/4.62 ( ~ c_in(V_c,c_Message_Oanalz(V_H),tc_Message_Omsg)
% 4.53/4.62 | c_in(V_c,c_Message_Oparts(V_H),tc_Message_Omsg) ) ).
% 4.53/4.62
% 4.53/4.62 cnf(cls_analz__into__parts_0,axiom,
% 4.53/4.62 ( c_in(V_c,c_Message_Oparts(V_H),tc_Message_Omsg)
% 4.53/4.62 | ~ c_in(V_c,c_Message_Oanalz(V_H),tc_Message_Omsg) ) ).
% 4.53/4.62
% 4.53/4.62 cnf(cls_analz__conj__parts_0,axiom,
% 4.53/4.62 ( c_in(V_X,c_Message_Oparts(V_H),tc_Message_Omsg)
% 4.53/4.62 | ~ c_in(V_X,c_Message_Oanalz(V_H),tc_Message_Omsg) ) ).
% 4.53/4.62
% 4.53/4.62 cnf(cls_pushes_I5_J_0,axiom,
% 4.53/4.62 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) ).
% 4.53/4.62
% 4.53/4.62 cnf(cls_conjecture_0,negated_conjecture,
% 4.53/4.62 ~ c_in(v_A,c_Event_Obad,tc_Message_Oagent) ).
% 4.53/4.62
% 4.53/4.62 cnf(cls_conjecture_1,negated_conjecture,
% 4.53/4.62 ~ c_in(v_B,c_Event_Obad,tc_Message_Oagent) ).
% 4.53/4.62
% 4.53/4.62 cnf(cls_conjecture_2,negated_conjecture,
% 4.53/4.62 c_in(v_evs3,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent)) ).
% 4.53/4.62
% 4.53/4.62 cnf(cls_conjecture_3,negated_conjecture,
% 4.53/4.62 v_Aa != c_Message_Oagent_OServer ).
% 4.53/4.62
% 4.53/4.62 cnf(cls_conjecture_4,negated_conjecture,
% 4.53/4.62 c_in(c_Event_Oevent_OSays(v_S,v_Aa,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,v_Aa),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NAa),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Ba),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,v_Ka),v_Xa))))),c_List_Oset(v_evs3,tc_Event_Oevent),tc_Event_Oevent) ).
% 4.53/4.62
% 4.53/4.62 cnf(cls_conjecture_5,negated_conjecture,
% 4.53/4.62 c_in(c_Event_Oevent_OSays(v_Aa,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_evs3,tc_Event_Oevent),tc_Event_Oevent) ).
% 4.53/4.62
% 4.53/4.62 cnf(cls_conjecture_6,negated_conjecture,
% 4.53/4.62 ~ c_in(hAPP(c_Message_Omsg_OKey,v_K),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3)),tc_Message_Omsg) ).
% 4.53/4.62
% 4.53/4.62 cnf(cls_conjecture_7,negated_conjecture,
% 4.53/4.62 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_Set_Oinsert(v_Xa,c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3),tc_Message_Omsg)),tc_Message_Omsg) ).
% 4.53/4.62
% 4.53/4.62 cnf(cls_conjecture_8,negated_conjecture,
% 4.53/4.62 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_Set_Oinsert(v_Xa,c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3),tc_Message_Omsg)),tc_Message_Omsg) ).
% 4.53/4.62
% 4.53/4.62 cnf(cls_conjecture_9,negated_conjecture,
% 4.53/4.62 ~ 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_evs3,tc_Event_Oevent),tc_Event_Oevent) ).
% 4.53/4.62
% 4.53/4.62 cnf(cls_conjecture_10,negated_conjecture,
% 4.53/4.62 ( 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_evs3,tc_Event_Oevent),tc_Event_Oevent)
% 4.53/4.62 | ~ 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_evs3)),tc_Message_Omsg)
% 4.53/4.62 | ~ 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_evs3)),tc_Message_Omsg) ) ).
% 4.53/4.62
% 4.53/4.62 cnf(cls_conjecture_11,negated_conjecture,
% 4.53/4.62 ( c_Message_Omsg_OCrypt(v_K,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),c_Message_Omsg_ONonce(v_NB))) != v_Xa
% 4.53/4.62 | v_B != v_Ba
% 4.53/4.62 | v_A != v_Aa ) ).
% 4.53/4.62
% 4.53/4.62 cnf(clsarity_fun__Lattices_Oupper__semilattice,axiom,
% 4.53/4.62 ( class_Lattices_Oupper__semilattice(tc_fun(T_2,T_1))
% 4.53/4.62 | ~ class_Lattices_Olattice(T_1) ) ).
% 4.53/4.62
% 4.53/4.62 cnf(clsarity_fun__Lattices_Obounded__lattice,axiom,
% 4.53/4.62 ( class_Lattices_Obounded__lattice(tc_fun(T_2,T_1))
% 4.53/4.62 | ~ class_Lattices_Obounded__lattice(T_1) ) ).
% 4.53/4.62
% 4.53/4.62 cnf(clsarity_fun__Orderings_Opreorder,axiom,
% 4.53/4.62 ( class_Orderings_Opreorder(tc_fun(T_2,T_1))
% 4.53/4.62 | ~ class_Orderings_Opreorder(T_1) ) ).
% 4.53/4.62
% 4.53/4.62 cnf(clsarity_fun__Lattices_Olattice,axiom,
% 4.53/4.62 ( class_Lattices_Olattice(tc_fun(T_2,T_1))
% 4.53/4.62 | ~ class_Lattices_Olattice(T_1) ) ).
% 4.53/4.62
% 4.53/4.62 cnf(clsarity_fun__Orderings_Oorder,axiom,
% 4.53/4.62 ( class_Orderings_Oorder(tc_fun(T_2,T_1))
% 4.53/4.62 | ~ class_Orderings_Oorder(T_1) ) ).
% 4.53/4.62
% 4.53/4.62 cnf(clsarity_fun__Orderings_Otop,axiom,
% 4.53/4.62 ( class_Orderings_Otop(tc_fun(T_2,T_1))
% 4.53/4.62 | ~ class_Orderings_Otop(T_1) ) ).
% 4.53/4.62
% 4.53/4.62 cnf(clsarity_fun__Orderings_Obot,axiom,
% 4.53/4.62 ( class_Orderings_Obot(tc_fun(T_2,T_1))
% 4.53/4.62 | ~ class_Orderings_Obot(T_1) ) ).
% 4.53/4.62
% 4.53/4.63 cnf(clsarity_fun__HOL_Oord,axiom,
% 4.53/4.63 ( class_HOL_Oord(tc_fun(T_2,T_1))
% 4.53/4.63 | ~ class_HOL_Oord(T_1) ) ).
% 4.53/4.63
% 4.53/4.63 cnf(clsarity_nat__Lattices_Oupper__semilattice,axiom,
% 4.53/4.63 class_Lattices_Oupper__semilattice(tc_nat) ).
% 4.53/4.63
% 4.53/4.63 cnf(clsarity_nat__Orderings_Opreorder,axiom,
% 4.53/4.63 class_Orderings_Opreorder(tc_nat) ).
% 4.53/4.63
% 4.53/4.63 cnf(clsarity_nat__Orderings_Olinorder,axiom,
% 4.53/4.63 class_Orderings_Olinorder(tc_nat) ).
% 4.53/4.63
% 4.53/4.63 cnf(clsarity_nat__Lattices_Olattice,axiom,
% 4.53/4.63 class_Lattices_Olattice(tc_nat) ).
% 4.53/4.63
% 4.53/4.63 cnf(clsarity_nat__Orderings_Oorder,axiom,
% 4.53/4.63 class_Orderings_Oorder(tc_nat) ).
% 4.53/4.63
% 4.53/4.63 cnf(clsarity_nat__Orderings_Obot,axiom,
% 4.53/4.63 class_Orderings_Obot(tc_nat) ).
% 4.53/4.63
% 4.53/4.63 cnf(clsarity_nat__HOL_Oord,axiom,
% 4.53/4.63 class_HOL_Oord(tc_nat) ).
% 4.53/4.63
% 4.53/4.63 cnf(clsarity_bool__Lattices_Oupper__semilattice,axiom,
% 4.53/4.63 class_Lattices_Oupper__semilattice(tc_bool) ).
% 4.53/4.63
% 4.53/4.63 cnf(clsarity_bool__Lattices_Obounded__lattice,axiom,
% 4.53/4.63 class_Lattices_Obounded__lattice(tc_bool) ).
% 4.53/4.63
% 4.53/4.63 cnf(clsarity_bool__Orderings_Opreorder,axiom,
% 4.53/4.63 class_Orderings_Opreorder(tc_bool) ).
% 4.53/4.63
% 4.53/4.63 cnf(clsarity_bool__Lattices_Olattice,axiom,
% 4.53/4.63 class_Lattices_Olattice(tc_bool) ).
% 4.53/4.63
% 4.53/4.63 cnf(clsarity_bool__Orderings_Oorder,axiom,
% 4.53/4.63 class_Orderings_Oorder(tc_bool) ).
% 4.53/4.63
% 4.53/4.63 cnf(clsarity_bool__Orderings_Otop,axiom,
% 4.53/4.63 class_Orderings_Otop(tc_bool) ).
% 4.53/4.63
% 4.53/4.63 cnf(clsarity_bool__Orderings_Obot,axiom,
% 4.53/4.63 class_Orderings_Obot(tc_bool) ).
% 4.53/4.63
% 4.53/4.63 cnf(clsarity_bool__HOL_Oord,axiom,
% 4.53/4.63 class_HOL_Oord(tc_bool) ).
% 4.53/4.63
% 4.53/4.63 cnf(cls_ATP__Linkup_Oequal__imp__fequal_0,axiom,
% 4.53/4.63 c_fequal(V_x,V_x,T_a) ).
% 4.53/4.63
% 4.53/4.63 cnf(cls_ATP__Linkup_Ofequal__imp__equal_0,axiom,
% 4.53/4.63 ( V_X = V_Y
% 4.53/4.63 | ~ c_fequal(V_X,V_Y,T_a) ) ).
% 4.53/4.63
% 4.53/4.63 %------------------------------------------------------------------------------
% 4.53/4.63 %-------------------------------------------
% 4.53/4.63 % Proof found
% 4.53/4.63 % SZS status Theorem for theBenchmark
% 4.53/4.63 % SZS output start Proof
% 4.53/4.63 %ClaNum:731(EqnAxiom:108)
% 4.53/4.63 %VarNum:3040(SingletonVarNum:1499)
% 4.53/4.63 %MaxLitNum:7
% 4.53/4.63 %MaxfuncDepth:9
% 4.53/4.63 %SharedTerms:103
% 4.53/4.63 %goalClause: 143 245 265 298 301 305 353 354 377 383 430 697
% 4.53/4.63 %singleGoalClaCount:10
% 4.53/4.63 [109]P1(a1)
% 4.53/4.63 [110]P8(a1)
% 4.53/4.63 [111]P8(a45)
% 4.53/4.63 [112]P9(a1)
% 4.53/4.63 [113]P9(a45)
% 4.53/4.63 [114]P11(a1)
% 4.53/4.63 [115]P11(a45)
% 4.53/4.63 [116]P10(a1)
% 4.53/4.63 [117]P10(a45)
% 4.53/4.63 [118]P2(a1)
% 4.53/4.63 [119]P2(a45)
% 4.53/4.63 [120]P13(a1)
% 4.53/4.63 [121]P14(a1)
% 4.53/4.63 [122]P14(a45)
% 4.53/4.63 [123]P12(a45)
% 4.53/4.63 [140]P5(a19,a5,a42)
% 4.53/4.63 [304]~E(a20,a19)
% 4.53/4.63 [305]~E(a20,a48)
% 4.53/4.63 [352]~P5(a20,a5,a42)
% 4.53/4.63 [353]~P5(a49,a5,a42)
% 4.53/4.63 [354]~P5(a51,a5,a42)
% 4.53/4.63 [124]P3(f3(a2))
% 4.53/4.63 [143]P5(a47,a36,f43(a2))
% 4.53/4.63 [144]P5(f3(a2),a36,f43(a2))
% 4.53/4.63 [377]~P5(f39(a29,a53),f15(f4(a19,a47)),a44)
% 4.53/4.63 [155]E(f22(f35(f46(a44,a1))),f35(f46(a44,a1)))
% 4.53/4.63 [156]E(f15(f35(f46(a44,a1))),f35(f46(a44,a1)))
% 4.53/4.63 [265]P5(f27(a53,f30(f28(a56),f28(a56))),f22(f40(a57,f4(a19,a47),a44)),a44)
% 4.53/4.63 [245]P5(f8(a48,a20,f30(f24(a48),f30(f24(a50),f28(a52)))),f18(a47,a2),a2)
% 4.53/4.63 [383]~P5(f8(a49,a51,f27(a53,f30(f28(a56),f28(a56)))),f18(a47,a2),a2)
% 4.53/4.63 [298]P5(f27(f39(a34,a49),f30(f28(a54),f30(f24(a51),f30(f39(a29,a53),a58)))),f22(f40(a57,f4(a19,a47),a44)),a44)
% 4.53/4.63 [301]P5(f8(a59,a48,f27(f39(a34,a48),f30(f28(a52),f30(f24(a50),f30(f39(a29,a55),a57))))),f18(a47,a2),a2)
% 4.53/4.63 [157]P5(f39(a34,x1571),a31,a45)
% 4.53/4.63 [161]P7(x1611,f21(x1611),f46(a44,a1))
% 4.53/4.63 [162]P7(x1621,f22(x1621),f46(a44,a1))
% 4.53/4.63 [163]P7(x1631,f15(x1631),f46(a44,a1))
% 4.53/4.63 [164]P7(f15(x1641),f22(x1641),f46(a44,a1))
% 4.53/4.63 [125]E(f14(f14(x1251)),x1251)
% 4.53/4.63 [126]E(f21(f21(x1261)),f21(x1261))
% 4.53/4.63 [127]E(f22(f22(x1271)),f22(x1271))
% 4.53/4.63 [128]E(f22(f15(x1281)),f22(x1281))
% 4.53/4.63 [129]E(f15(f22(x1291)),f22(x1291))
% 4.53/4.63 [130]E(f15(f15(x1301)),f15(x1301))
% 4.53/4.63 [132]E(f16(f3(x1321),x1321),f3(x1321))
% 4.53/4.63 [133]E(f14(f39(a34,x1331)),f39(a34,x1331))
% 4.53/4.63 [137]E(f18(f3(x1371),x1371),f35(f46(x1371,a1)))
% 4.53/4.63 [138]E(f35(f46(x1381,a1)),f18(f3(x1381),x1381))
% 4.53/4.63 [139]E(f4(a19,f16(x1391,a2)),f4(a19,x1391))
% 4.53/4.63 [166]P7(f11(f3(a2)),f11(x1661),f46(a44,a1))
% 4.53/4.63 [167]E(f10(f22(x1671),f21(x1671),f46(a44,a1)),f22(f21(x1671)))
% 4.53/4.63 [168]E(f10(f15(x1681),f21(x1681),f46(a44,a1)),f15(f21(x1681)))
% 4.53/4.63 [180]P7(f22(f4(a19,x1801)),f11(x1801),f46(a44,a1))
% 4.53/4.63 [287]E(f22(f41(a29,x2871,a45,a44)),f41(a29,x2871,a45,a44))
% 4.53/4.63 [288]E(f15(f41(a29,x2881,a45,a44)),f41(a29,x2881,a45,a44))
% 4.53/4.63 [355]~E(f37(f46(x3551,a1)),f35(f46(x3551,a1)))
% 4.53/4.63 [369]~P5(f28(x3691),f11(f3(a2)),a44)
% 4.53/4.63 [226]P7(f22(f4(a19,f16(x2261,a2))),f22(f4(a19,x2261)),f46(a44,a1))
% 4.53/4.63 [382]~P5(x3821,f22(f35(f46(a44,a1))),a44)
% 4.53/4.63 [142]P6(x1421,x1421,x1422)
% 4.53/4.63 [150]P5(f23(x1501),f21(x1502),a44)
% 4.53/4.63 [152]P5(f24(x1521),f21(x1522),a44)
% 4.53/4.63 [159]P7(x1591,x1591,f46(x1592,a1))
% 4.53/4.63 [165]P5(f3(x1651),f17(x1652,x1651),f43(x1651))
% 4.53/4.63 [307]~E(f23(x3071),f26(x3072))
% 4.53/4.63 [310]~E(f24(x3101),f26(x3102))
% 4.53/4.63 [311]~E(f24(x3111),f23(x3112))
% 4.53/4.63 [315]~E(f28(x3151),f26(x3152))
% 4.53/4.63 [316]~E(f28(x3161),f23(x3162))
% 4.53/4.63 [317]~E(f28(x3171),f24(x3172))
% 4.53/4.63 [318]~E(f26(x3181),f39(a29,x3182))
% 4.53/4.63 [319]~E(f23(x3191),f39(a29,x3192))
% 4.53/4.63 [320]~E(f24(x3201),f39(a29,x3202))
% 4.53/4.63 [321]~E(f28(x3211),f39(a29,x3212))
% 4.53/4.63 [322]~E(f39(a29,x3221),f26(x3222))
% 4.53/4.63 [323]~E(f39(a29,x3231),f23(x3232))
% 4.53/4.63 [324]~E(f39(a29,x3241),f24(x3242))
% 4.53/4.63 [325]~E(f39(a29,x3251),f28(x3252))
% 4.53/4.63 [384]~P5(f26(x3841),f41(a29,x3842,a45,a44),a44)
% 4.53/4.63 [385]~P5(f28(x3851),f41(a29,x3852,a45,a44),a44)
% 4.53/4.63 [136]E(f16(f16(x1361,x1362),x1362),x1361)
% 4.53/4.63 [141]E(f18(f16(x1411,x1412),x1412),f18(x1411,x1412))
% 4.53/4.63 [148]E(f9(x1481,f3(x1482),x1482),x1481)
% 4.53/4.63 [149]E(f9(f3(x1491),x1492,x1491),x1492)
% 4.53/4.63 [160]E(f10(x1601,x1601,f46(x1602,a1)),x1601)
% 4.53/4.63 [169]P5(x1691,f37(f46(x1692,a1)),x1692)
% 4.53/4.63 [175]P5(f39(a29,f39(a34,x1751)),f11(x1752),a44)
% 4.53/4.63 [176]P7(x1761,f37(f46(x1762,a1)),f46(x1762,a1))
% 4.53/4.63 [177]P7(f35(f46(x1771,a1)),x1772,f46(x1771,a1))
% 4.53/4.63 [178]E(f10(x1781,f35(f46(x1782,a1)),f46(x1782,a1)),x1781)
% 4.53/4.63 [179]E(f10(f35(f46(x1791,a1)),x1792,f46(x1791,a1)),x1792)
% 4.53/4.63 [181]P7(f4(x1811,f3(a2)),f4(x1811,x1812),f46(a44,a1))
% 4.53/4.63 [183]P5(f39(a29,f39(a34,x1831)),f4(x1831,x1832),a44)
% 4.53/4.63 [186]E(f10(x1861,f37(f46(x1862,a1)),f46(x1862,a1)),f37(f46(x1862,a1)))
% 4.53/4.63 [187]E(f10(f37(f46(x1871,a1)),x1872,f46(x1871,a1)),f37(f46(x1871,a1)))
% 4.53/4.63 [252]P7(f40(x2521,f21(x2522),a44),f21(f40(x2521,x2522,a44)),f46(a44,a1))
% 4.53/4.63 [253]P7(f40(x2531,f22(x2532),a44),f22(f40(x2531,x2532,a44)),f46(a44,a1))
% 4.53/4.63 [254]P7(f40(x2541,f15(x2542),a44),f15(f40(x2541,x2542,a44)),f46(a44,a1))
% 4.53/4.63 [281]E(f10(f22(f40(x2811,f35(f46(a44,a1)),a44)),f22(x2812),f46(a44,a1)),f22(f40(x2811,x2812,a44)))
% 4.53/4.63 [372]~P5(f39(f38(x3721),x3722),a31,a45)
% 4.53/4.63 [373]~P5(f27(x3731,x3732),f11(f3(a2)),a44)
% 4.53/4.63 [376]~P5(x3761,f35(f46(x3762,a1)),x3762)
% 4.53/4.63 [170]E(f25(f40(f26(x1701),x1702,a44)),f25(x1702))
% 4.53/4.63 [171]E(f25(f40(f23(x1711),x1712,a44)),f25(x1712))
% 4.53/4.63 [172]E(f25(f40(f24(x1721),x1722,a44)),f25(x1722))
% 4.53/4.63 [173]E(f25(f40(f28(x1731),x1732,a44)),f25(x1732))
% 4.53/4.63 [182]P15(f39(f37(f46(x1821,a1)),x1822))
% 4.53/4.63 [188]E(f25(f40(f39(a29,x1881),x1882,a44)),f25(x1882))
% 4.53/4.63 [200]E(f22(f40(f26(x2001),x2002,a44)),f40(f26(x2001),f22(x2002),a44))
% 4.53/4.63 [201]E(f22(f40(f23(x2011),x2012,a44)),f40(f23(x2011),f22(x2012),a44))
% 4.53/4.63 [202]E(f22(f40(f24(x2021),x2022,a44)),f40(f24(x2021),f22(x2022),a44))
% 4.53/4.63 [203]E(f22(f40(f28(x2031),x2032,a44)),f40(f28(x2031),f22(x2032),a44))
% 4.53/4.63 [204]E(f15(f40(f26(x2041),x2042,a44)),f40(f26(x2041),f15(x2042),a44))
% 4.53/4.63 [205]E(f15(f40(f23(x2051),x2052,a44)),f40(f23(x2051),f15(x2052),a44))
% 4.53/4.63 [206]E(f15(f40(f24(x2061),x2062,a44)),f40(f24(x2061),f15(x2062),a44))
% 4.53/4.63 [207]E(f15(f40(f28(x2071),x2072,a44)),f40(f28(x2071),f15(x2072),a44))
% 4.53/4.63 [209]E(f16(f13(x2091,f3(x2092),x2092),x2092),f13(x2091,f3(x2092),x2092))
% 4.53/4.63 [219]E(f22(f40(f39(a29,x2191),x2192,a44)),f40(f39(a29,x2191),f22(x2192),a44))
% 4.53/4.63 [220]E(f10(f22(x2201),f22(x2202),f46(a44,a1)),f22(f10(x2201,x2202,f46(a44,a1))))
% 4.53/4.63 [229]E(f15(f10(f15(x2291),x2292,f46(a44,a1))),f15(f10(x2291,x2292,f46(a44,a1))))
% 4.53/4.63 [276]E(f10(f15(f10(x2761,x2762,f46(a44,a1))),f21(x2761),f46(a44,a1)),f15(f10(f21(x2761),x2762,f46(a44,a1))))
% 4.53/4.63 [277]P7(f22(f10(x2771,x2772,f46(a44,a1))),f10(f22(x2771),f22(x2772),f46(a44,a1)),f46(a44,a1))
% 4.53/4.63 [278]P7(f10(f21(x2781),f21(x2782),f46(a44,a1)),f21(f10(x2781,x2782,f46(a44,a1))),f46(a44,a1))
% 4.53/4.63 [279]P7(f10(f22(x2791),f22(x2792),f46(a44,a1)),f22(f10(x2791,x2792,f46(a44,a1))),f46(a44,a1))
% 4.53/4.63 [280]P7(f10(f15(x2801),f15(x2802),f46(a44,a1)),f15(f10(x2801,x2802,f46(a44,a1))),f46(a44,a1))
% 4.53/4.63 [378]~P5(f28(x3781),f22(f4(x3782,f3(a2))),a44)
% 4.53/4.63 [379]~P15(f39(f35(f46(x3791,a1)),x3792))
% 4.53/4.63 [380]~P5(f14(f39(f38(x3801),x3802)),a31,a45)
% 4.53/4.63 [227]P5(f39(a29,f14(f39(f38(x2271),x2272))),f4(x2272,f3(a2)),a44)
% 4.53/4.63 [192]P5(x1921,f40(x1921,x1922,x1923),x1923)
% 4.53/4.63 [198]P7(x1981,f40(x1982,x1981,x1983),f46(x1983,a1))
% 4.53/4.63 [326]~E(f26(x3261),f27(x3262,x3263))
% 4.53/4.63 [327]~E(f26(x3271),f30(x3272,x3273))
% 4.53/4.63 [328]~E(f23(x3281),f27(x3282,x3283))
% 4.53/4.63 [329]~E(f23(x3291),f30(x3292,x3293))
% 4.53/4.63 [330]~E(f24(x3301),f27(x3302,x3303))
% 4.53/4.63 [331]~E(f24(x3311),f30(x3312,x3313))
% 4.53/4.63 [332]~E(f28(x3321),f27(x3322,x3323))
% 4.53/4.63 [333]~E(f28(x3331),f30(x3332,x3333))
% 4.53/4.63 [334]~E(f27(x3341,x3342),f26(x3343))
% 4.53/4.63 [335]~E(f27(x3351,x3352),f23(x3353))
% 4.53/4.63 [336]~E(f27(x3361,x3362),f24(x3363))
% 4.53/4.63 [337]~E(f27(x3371,x3372),f28(x3373))
% 4.53/4.63 [338]~E(f30(x3381,x3382),f26(x3383))
% 4.53/4.63 [339]~E(f30(x3391,x3392),f23(x3393))
% 4.53/4.63 [340]~E(f30(x3401,x3402),f24(x3403))
% 4.53/4.63 [341]~E(f30(x3411,x3412),f28(x3413))
% 4.53/4.63 [342]~E(f27(x3421,x3422),f39(a29,x3423))
% 4.53/4.63 [343]~E(f30(x3431,x3432),f39(a29,x3433))
% 4.53/4.63 [344]~E(f39(a29,x3441),f27(x3442,x3443))
% 4.53/4.63 [345]~E(f39(a29,x3451),f30(x3452,x3453))
% 4.53/4.63 [359]~E(f13(x3591,x3592,x3593),x3592)
% 4.53/4.63 [362]~E(f13(x3621,x3622,x3623),f3(x3623))
% 4.53/4.63 [386]~P5(f27(x3861,x3862),f41(a29,x3863,a45,a44),a44)
% 4.53/4.63 [185]E(f10(x1851,x1852,f46(x1853,a1)),f10(x1852,x1851,f46(x1853,a1)))
% 4.53/4.63 [210]E(f40(x2101,f18(x2102,x2103),x2103),f18(f13(x2101,x2102,x2103),x2103))
% 4.53/4.63 [213]E(f40(x2131,f40(x2131,x2132,x2133),x2133),f40(x2131,x2132,x2133))
% 4.53/4.63 [216]E(f9(f16(x2161,x2162),f16(x2163,x2162),x2162),f16(f9(x2163,x2161,x2162),x2162))
% 4.53/4.63 [217]P7(x2171,f10(x2172,x2171,f46(x2173,a1)),f46(x2173,a1))
% 4.53/4.63 [218]P7(x2181,f10(x2181,x2182,f46(x2183,a1)),f46(x2183,a1))
% 4.53/4.63 [221]P15(f39(f40(x2211,x2212,x2213),x2211))
% 4.53/4.63 [224]E(f10(f18(x2241,x2242),f18(x2243,x2242),f46(x2242,a1)),f18(f9(x2241,x2243,x2242),x2242))
% 4.53/4.63 [228]E(f10(x2281,f10(x2281,x2282,f46(x2283,a1)),f46(x2283,a1)),f10(x2281,x2282,f46(x2283,a1)))
% 4.53/4.63 [242]P7(f4(x2421,x2422),f4(x2421,f13(x2423,x2422,a2)),f46(a44,a1))
% 4.53/4.63 [243]E(f10(f40(x2431,f35(f46(x2432,a1)),x2432),x2433,f46(x2432,a1)),f40(x2431,x2433,x2432))
% 4.53/4.63 [244]P7(f18(x2441,x2442),f18(f13(x2443,x2441,x2442),x2442),f46(x2442,a1))
% 4.53/4.63 [350]~E(f39(a34,x3501),f39(f38(x3502),x3503))
% 4.53/4.63 [351]~E(f39(f38(x3511),x3512),f39(a34,x3513))
% 4.53/4.63 [370]~E(f40(x3701,x3702,x3703),f35(f46(x3703,a1)))
% 4.53/4.63 [371]~E(f35(f46(x3711,a1)),f40(x3712,x3713,x3711))
% 4.53/4.63 [387]~P5(f39(a34,x3871),f41(f38(x3872),x3873,a42,a45),a45)
% 4.53/4.63 [388]~P5(f39(f38(x3881),x3882),f41(a34,x3883,a42,a45),a45)
% 4.53/4.63 [189]P5(f39(a29,f39(f38(x1891),x1892)),f11(x1893),a44)
% 4.53/4.63 [193]E(f25(f40(f30(x1931,x1932),x1933,a44)),f25(x1933))
% 4.53/4.63 [194]E(f11(f13(f6(x1941,x1942),x1943,a2)),f11(x1943))
% 4.53/4.63 [195]P5(f39(a29,f39(f38(x1951),x1952)),f4(a19,x1953),a44)
% 4.53/4.63 [196]E(f4(a19,f13(f6(x1961,x1962),x1963,a2)),f4(a19,x1963))
% 4.53/4.63 [199]P5(f39(a29,f39(f38(x1991),x1992)),f4(x1993,f3(a2)),a44)
% 4.53/4.63 [211]P5(f39(a29,f39(f38(x2111),x2112)),f15(f4(a19,x2113)),a44)
% 4.53/4.63 [223]E(f4(x2231,f13(f7(x2231,x2232),x2233,a2)),f40(x2232,f4(x2231,x2233),a44))
% 4.53/4.63 [230]E(f9(f16(x2301,x2302),f13(x2303,f3(x2302),x2302),x2302),f16(f13(x2303,x2301,x2302),x2302))
% 4.53/4.63 [241]E(f41(x2411,f35(f46(x2412,a1)),x2412,x2413),f35(f46(x2413,a1)))
% 4.53/4.63 [267]E(f40(f27(x2671,x2672),f22(f40(x2672,x2673,a44)),a44),f22(f40(f27(x2671,x2672),x2673,a44)))
% 4.53/4.63 [282]E(f11(f13(f7(x2821,x2822),x2823,a2)),f10(f22(f40(x2822,f35(f46(a44,a1)),a44)),f11(x2823),f46(a44,a1)))
% 4.53/4.63 [297]P7(f15(f40(f27(x2971,x2972),x2973,a44)),f40(f27(x2971,x2972),f15(f40(x2972,x2973,a44)),a44),f46(a44,a1))
% 4.53/4.63 [302]E(f10(f10(f22(f40(x3021,f35(f46(a44,a1)),a44)),f22(f40(x3022,f35(f46(a44,a1)),a44)),f46(a44,a1)),f22(x3023),f46(a44,a1)),f22(f40(x3021,f40(x3022,x3023,a44),a44)))
% 4.53/4.63 [356]~E(f39(a34,x3561),f14(f39(f38(x3562),x3563)))
% 4.53/4.63 [357]~E(f14(f39(f38(x3571),x3572)),f39(a34,x3573))
% 4.53/4.63 [381]~P5(f27(x3811,x3812),f22(f4(x3813,f3(a2))),a44)
% 4.53/4.63 [389]~P5(f14(f39(f38(x3891),x3892)),f41(a34,x3893,a42,a45),a45)
% 4.53/4.63 [222]P5(f39(a29,f14(f39(f38(x2221),x2222))),f11(x2223),a44)
% 4.53/4.63 [266]E(f4(a19,f9(x2661,f13(f6(x2662,x2663),f3(a2),a2),a2)),f4(a19,x2661))
% 4.53/4.63 [273]E(f16(f9(f16(x2731,x2732),f13(x2733,f3(x2732),x2732),x2732),x2732),f13(x2733,x2731,x2732))
% 4.53/4.63 [293]E(f40(f30(x2931,x2932),f22(f40(x2931,f40(x2932,x2933,a44),a44)),a44),f22(f40(f30(x2931,x2932),x2933,a44)))
% 4.53/4.63 [294]E(f40(f30(x2941,x2942),f15(f40(x2941,f40(x2942,x2943,a44),a44)),a44),f15(f40(f30(x2941,x2942),x2943,a44)))
% 4.53/4.63 [347]~E(f7(x3471,x3472),f6(x3473,x3474))
% 4.53/4.63 [349]~E(f30(x3491,x3492),f27(x3493,x3494))
% 4.53/4.63 [231]E(f40(x2311,f40(x2312,x2313,x2314),x2314),f40(x2312,f40(x2311,x2313,x2314),x2314))
% 4.53/4.63 [237]E(f13(x2371,f9(x2372,x2373,x2374),x2374),f9(f13(x2371,x2372,x2374),x2373,x2374))
% 4.53/4.63 [239]E(f9(f9(x2391,x2392,x2393),x2394,x2393),f9(x2391,f9(x2392,x2394,x2393),x2393))
% 4.53/4.63 [268]E(f10(x2681,f10(x2682,x2683,f46(x2684,a1)),f46(x2684,a1)),f10(x2682,f10(x2681,x2683,f46(x2684,a1)),f46(x2684,a1)))
% 4.53/4.63 [270]E(f10(f10(x2701,x2702,f46(x2703,a1)),x2704,f46(x2703,a1)),f10(x2701,f10(x2702,x2704,f46(x2703,a1)),f46(x2703,a1)))
% 4.53/4.63 [246]E(f40(x2461,f10(x2462,x2463,f46(x2464,a1)),x2464),f10(x2462,f40(x2461,x2463,x2464),f46(x2464,a1)))
% 4.53/4.63 [247]E(f40(x2471,f10(x2472,x2473,f46(x2474,a1)),x2474),f10(f40(x2471,x2472,x2474),x2473,f46(x2474,a1)))
% 4.53/4.63 [255]E(f4(a19,f13(f8(x2551,x2552,x2553),x2554,a2)),f40(x2553,f4(a19,x2554),a44))
% 4.53/4.63 [260]E(f4(x2601,f13(f8(x2601,x2602,x2603),x2604,a2)),f40(x2603,f4(x2601,x2604),a44))
% 4.53/4.63 [284]P5(f39(x2841,x2842),f41(x2841,f37(f46(x2843,a1)),x2843,x2844),x2844)
% 4.53/4.63 [286]P5(x2861,f18(f9(x2862,f13(x2861,x2863,x2864),x2864),x2864),x2864)
% 4.53/4.63 [291]E(f11(f13(f8(x2911,x2912,x2913),x2914,a2)),f10(f22(f40(x2913,f35(f46(a44,a1)),a44)),f11(x2914),f46(a44,a1)))
% 4.53/4.63 [363]~E(f39(f38(x3631),x3632),f14(f39(f38(x3633),x3634)))
% 4.53/4.63 [364]~E(f14(f39(f38(x3641),x3642)),f39(f38(x3643),x3644))
% 4.53/4.63 [390]~P5(f14(f39(f38(x3901),x3902)),f41(f38(x3903),x3904,a42,a45),a45)
% 4.53/4.63 [292]E(f4(a19,f9(x2921,f13(f8(x2922,x2923,x2924),f3(a2),a2),a2)),f40(x2924,f4(a19,x2921),a44))
% 4.53/4.63 [365]~E(f6(x3651,x3652),f8(x3653,x3654,x3655))
% 4.53/4.63 [366]~E(f7(x3661,x3662),f8(x3663,x3664,x3665))
% 4.53/4.63 [367]~E(f8(x3671,x3672,x3673),f6(x3674,x3675))
% 4.53/4.63 [368]~E(f8(x3681,x3682,x3683),f7(x3684,x3685))
% 4.53/4.63 [295]E(f41(x2951,f40(x2952,x2953,x2954),x2954,x2955),f40(f39(x2951,x2952),f41(x2951,x2953,x2954,x2955),x2955))
% 4.53/4.63 [296]E(f40(f39(x2961,x2962),f41(x2961,x2963,x2964,x2965),x2965),f41(x2961,f40(x2962,x2963,x2964),x2964,x2965))
% 4.53/4.63 [300]E(f10(f41(x3001,x3002,x3003,x3004),f41(x3001,x3005,x3003,x3004),f46(x3004,a1)),f41(x3001,f10(x3002,x3005,f46(x3003,a1)),x3003,x3004))
% 4.53/4.63 [431]E(f14(x4311),x4311)+~P5(x4311,a31,a45)
% 4.53/4.63 [448]~P5(x4481,a31,a45)+P5(f14(x4481),a31,a45)
% 4.53/4.63 [450]P5(x4501,a31,a45)+~P5(f14(x4501),a31,a45)
% 4.53/4.63 [417]~P8(x4172)+P7(x4171,x4171,x4172)
% 4.53/4.63 [418]~P14(x4182)+P7(x4181,x4181,x4182)
% 4.53/4.63 [391]E(x3911,x3912)+~E(f14(x3911),f14(x3912))
% 4.53/4.63 [392]E(x3921,x3922)+~E(f26(x3921),f26(x3922))
% 4.53/4.63 [393]E(x3931,x3932)+~E(f23(x3931),f23(x3932))
% 4.53/4.63 [394]E(x3941,x3942)+~E(f24(x3941),f24(x3942))
% 4.53/4.63 [395]E(x3951,x3952)+~E(f28(x3951),f28(x3952))
% 4.53/4.63 [397]~E(f16(x3971,x3972),f3(x3972))+E(x3971,f3(x3972))
% 4.53/4.63 [398]~P1(x3982)+P1(f46(x3981,x3982))
% 4.53/4.63 [399]~P8(x3992)+P8(f46(x3991,x3992))
% 4.53/4.63 [400]~P10(x4002)+P9(f46(x4001,x4002))
% 4.53/4.63 [401]~P11(x4012)+P11(f46(x4011,x4012))
% 4.53/4.63 [402]~P10(x4022)+P10(f46(x4021,x4022))
% 4.53/4.63 [403]~P2(x4032)+P2(f46(x4031,x4032))
% 4.53/4.63 [404]~P13(x4042)+P13(f46(x4041,x4042))
% 4.53/4.63 [405]~P14(x4052)+P14(f46(x4051,x4052))
% 4.53/4.63 [406]E(x4061,x4062)+~E(f39(a34,x4061),f39(a34,x4062))
% 4.53/4.63 [407]E(x4071,x4072)+~E(f39(a29,x4071),f39(a29,x4072))
% 4.53/4.63 [419]~P9(x4192)+E(f10(x4191,x4191,x4192),x4191)
% 4.53/4.63 [422]~P13(x4222)+P7(x4221,f37(x4222),x4222)
% 4.53/4.63 [423]~P11(x4231)+P7(f35(x4231),x4232,x4231)
% 4.53/4.63 [451]~P5(x4511,x4512,a44)+P5(x4511,f21(x4512),a44)
% 4.53/4.63 [452]~P5(x4521,x4522,a44)+P5(x4521,f22(x4522),a44)
% 4.53/4.63 [453]~P5(x4531,x4532,a44)+P5(x4531,f15(x4532),a44)
% 4.53/4.63 [459]~P5(x4591,f15(x4592),a44)+P5(x4591,f22(x4592),a44)
% 4.53/4.63 [460]P5(f26(x4601),f21(x4602),a44)+~P5(x4601,f21(x4602),a44)
% 4.53/4.63 [463]~P5(f28(x4631),f21(x4632),a44)+P5(f28(x4631),x4632,a44)
% 4.53/4.63 [501]~P7(x5011,x5012,f46(a44,a1))+P7(f21(x5011),f21(x5012),f46(a44,a1))
% 4.53/4.63 [502]~P7(x5021,x5022,f46(a44,a1))+P7(f22(x5021),f22(x5022),f46(a44,a1))
% 4.53/4.63 [503]~P7(x5031,x5032,f46(a44,a1))+P7(f15(x5031),f15(x5032),f46(a44,a1))
% 4.53/4.63 [506]~P5(f39(a29,x5061),f21(x5062),a44)+P5(f39(a29,x5061),x5062,a44)
% 4.53/4.63 [507]P7(f21(x5071),f21(x5072),f46(a44,a1))+~P7(x5071,f21(x5072),f46(a44,a1))
% 4.53/4.63 [508]P7(f22(x5081),f22(x5082),f46(a44,a1))+~P7(x5081,f22(x5082),f46(a44,a1))
% 4.53/4.63 [509]P7(f15(x5091),f15(x5092),f46(a44,a1))+~P7(x5091,f15(x5092),f46(a44,a1))
% 4.53/4.63 [511]P7(x5111,f21(x5112),f46(a44,a1))+~P7(f21(x5111),f21(x5112),f46(a44,a1))
% 4.53/4.63 [512]P7(x5121,f22(x5122),f46(a44,a1))+~P7(f22(x5121),f22(x5122),f46(a44,a1))
% 4.53/4.63 [513]P7(x5131,f15(x5132),f46(a44,a1))+~P7(f15(x5131),f15(x5132),f46(a44,a1))
% 4.53/4.63 [672]P5(x6721,x6722,a42)+~P5(f39(a34,x6721),f41(a34,x6722,a42,a45),a45)
% 4.53/4.63 [673]P5(x6731,x6732,a45)+~P5(f39(a29,x6731),f41(a29,x6732,a45,a44),a44)
% 4.53/4.63 [424]~P1(x4242)+E(f10(x4241,f35(x4242),x4242),x4241)
% 4.53/4.63 [425]~P1(x4251)+E(f10(f35(x4251),x4252,x4251),x4252)
% 4.53/4.63 [426]E(x4261,f3(x4262))+~E(f18(x4261,x4262),f35(f46(x4262,a1)))
% 4.53/4.63 [427]E(x4271,f3(x4272))+~E(f35(f46(x4272,a1)),f18(x4271,x4272))
% 4.53/4.63 [428]~P1(x4282)+E(f10(x4281,f37(x4282),x4282),f37(x4282))
% 4.53/4.63 [429]~P1(x4291)+E(f10(f37(x4291),x4292,x4291),f37(x4291))
% 4.53/4.63 [468]P5(x4681,f21(x4682),a44)+~P5(x4681,f21(f21(x4682)),a44)
% 4.53/4.63 [469]P5(x4691,f22(x4692),a44)+~P5(x4691,f22(f22(x4692)),a44)
% 4.53/4.63 [470]P5(x4701,f15(x4702),a44)+~P5(x4701,f15(f15(x4702)),a44)
% 4.53/4.63 [504]~P5(x5041,f22(x5042),a44)+E(f22(f40(x5041,x5042,a44)),f22(x5042))
% 4.53/4.63 [505]~P5(x5051,f15(x5052),a44)+E(f15(f40(x5051,x5052,a44)),f15(x5052))
% 4.53/4.63 [518]P5(x5181,f11(x5182),a44)+~P5(x5181,f22(f4(a19,x5182)),a44)
% 4.53/4.63 [521]~P5(x5211,a5,a42)+P5(f39(a29,f39(a34,x5211)),f4(a19,x5212),a44)
% 4.53/4.63 [522]~P7(x5221,x5222,f46(a44,a1))+P7(f21(f15(x5221)),f21(f15(x5222)),f46(a44,a1))
% 4.53/4.63 [524]~P7(x5241,f35(f46(x5242,a1)),f46(x5242,a1))+E(x5241,f35(f46(x5242,a1)))
% 4.53/4.63 [620]P5(f32(x6202,x6201),f22(f40(x6201,x6202,a44)),a44)+E(f22(f40(x6201,x6202,a44)),f40(x6201,f22(x6202),a44))
% 4.53/4.63 [621]P5(f33(x6212,x6211),f15(f40(x6211,x6212,a44)),a44)+E(f15(f40(x6211,x6212,a44)),f40(x6211,f15(x6212),a44))
% 4.53/4.63 [625]~P5(f32(x6252,x6251),f40(x6251,f22(x6252),a44),a44)+E(f22(f40(x6251,x6252,a44)),f40(x6251,f22(x6252),a44))
% 4.53/4.63 [626]~P5(f33(x6262,x6261),f40(x6261,f15(x6262),a44),a44)+E(f15(f40(x6261,x6262,a44)),f40(x6261,f15(x6262),a44))
% 4.53/4.63 [643]P7(f22(f40(x6431,x6432,a44)),f10(f21(f15(x6432)),f22(x6432),f46(a44,a1)),f46(a44,a1))+~P5(x6431,f21(f15(x6432)),a44)
% 4.53/4.63 [560]P5(x5601,f25(f15(x5602)),a45)+E(f15(f40(f39(a29,x5601),x5602,a44)),f40(f39(a29,x5601),f15(x5602),a44))
% 4.53/4.63 [580]~P5(x5801,f21(f15(x5802)),a44)+E(f21(f15(f40(x5801,x5802,a44))),f21(f15(x5802)))
% 4.53/4.63 [680]P5(f39(a29,x6801),f11(x6802),a44)+~P5(x6801,f41(a34,f37(f46(a42,a1)),a42,a45),a45)
% 4.53/4.63 [637]~P5(x6371,f11(x6372),a44)+P7(f22(f40(x6371,f35(f46(a44,a1)),a44)),f11(x6372),f46(a44,a1))
% 4.53/4.63 [658]~P5(x6581,f21(f15(x6582)),a44)+P7(f22(f40(x6581,f35(f46(a44,a1)),a44)),f10(f21(f15(x6582)),f22(x6582),f46(a44,a1)),f46(a44,a1))
% 4.53/4.63 [432]E(x4321,x4322)+~P6(x4321,x4322,x4323)
% 4.53/4.63 [413]E(x4131,x4132)+~E(f16(x4131,x4133),f16(x4132,x4133))
% 4.53/4.63 [435]~E(f9(x4353,x4351,x4352),x4353)+E(x4351,f3(x4352))
% 4.53/4.63 [436]~E(f9(x4361,x4363,x4362),x4363)+E(x4361,f3(x4362))
% 4.53/4.63 [439]~E(f9(x4393,x4391,x4392),f3(x4392))+E(x4391,f3(x4392))
% 4.53/4.63 [440]~E(f9(x4401,x4403,x4402),f3(x4402))+E(x4401,f3(x4402))
% 4.53/4.63 [441]P5(x4411,x4412,x4413)+~P15(f39(x4412,x4411))
% 4.53/4.63 [444]~P9(x4443)+E(f10(x4441,x4442,x4443),f10(x4442,x4441,x4443))
% 4.53/4.63 [445]~P10(x4453)+E(f10(x4451,x4452,x4453),f10(x4452,x4451,x4453))
% 4.53/4.63 [446]~P5(x4462,x4461,x4463)+P15(f39(x4461,x4462))
% 4.53/4.63 [449]~P5(x4491,x4492,x4493)+E(f40(x4491,x4492,x4493),x4492)
% 4.53/4.63 [464]~P9(x4643)+P7(x4641,f10(x4642,x4641,x4643),x4643)
% 4.53/4.63 [465]~P10(x4653)+P7(x4651,f10(x4652,x4651,x4653),x4653)
% 4.53/4.63 [466]~P9(x4663)+P7(x4661,f10(x4661,x4662,x4663),x4663)
% 4.53/4.63 [467]~P10(x4673)+P7(x4671,f10(x4671,x4672,x4673),x4673)
% 4.53/4.63 [484]P5(f14(x4841),f25(x4842),a45)+~P5(f27(x4841,x4843),x4842,a44)
% 4.53/4.63 [487]P5(x4871,f11(x4872),a44)+~P5(f30(x4873,x4871),f11(x4872),a44)
% 4.53/4.63 [488]P5(x4881,f11(x4882),a44)+~P5(f30(x4881,x4883),f11(x4882),a44)
% 4.53/4.63 [489]P5(x4891,f22(x4892),a44)+~P5(f27(x4893,x4891),f22(x4892),a44)
% 4.53/4.63 [490]P5(x4901,f22(x4902),a44)+~P5(f30(x4903,x4901),f22(x4902),a44)
% 4.53/4.63 [491]P5(x4911,f22(x4912),a44)+~P5(f30(x4911,x4913),f22(x4912),a44)
% 4.53/4.63 [492]P5(x4921,f15(x4922),a44)+~P5(f30(x4923,x4921),f15(x4922),a44)
% 4.53/4.63 [493]P5(x4931,f15(x4932),a44)+~P5(f30(x4931,x4933),f15(x4932),a44)
% 4.53/4.63 [514]P5(x5141,f11(x5142),a44)+~P5(f7(x5143,x5141),f18(x5142,a2),a2)
% 4.53/4.63 [528]P5(x5281,f4(x5282,x5283),a44)+~P5(f7(x5282,x5281),f18(x5283,a2),a2)
% 4.53/4.63 [478]~E(f16(x4781,x4783),f13(x4782,f3(x4783),x4783))+E(x4781,f13(x4782,f3(x4783),x4783))
% 4.53/4.63 [479]~E(f13(x4792,f3(x4793),x4793),f16(x4791,x4793))+E(x4791,f13(x4792,f3(x4793),x4793))
% 4.53/4.63 [485]E(x4851,f35(f46(x4852,a1)))+~E(f10(x4853,x4851,f46(x4852,a1)),f35(f46(x4852,a1)))
% 4.53/4.63 [486]E(x4861,f35(f46(x4862,a1)))+~E(f10(x4861,x4863,f46(x4862,a1)),f35(f46(x4862,a1)))
% 4.53/4.63 [497]~P7(x4971,x4972,f46(x4973,a1))+E(f10(x4971,x4972,f46(x4973,a1)),x4972)
% 4.53/4.63 [498]~P7(x4982,x4981,f46(x4983,a1))+E(f10(x4981,x4982,f46(x4983,a1)),x4981)
% 4.53/4.63 [499]P7(x4991,x4992,f46(x4993,a1))+~E(f10(x4991,x4992,f46(x4993,a1)),x4992)
% 4.53/4.63 [516]~P9(x5163)+E(f10(x5161,f10(x5161,x5162,x5163),x5163),f10(x5161,x5162,x5163))
% 4.53/4.63 [517]~P10(x5173)+E(f10(x5171,f10(x5171,x5172,x5173),x5173),f10(x5171,x5172,x5173))
% 4.53/4.63 [519]P5(x5191,f21(f15(x5192)),a44)+~P5(f30(x5193,x5191),f21(f15(x5192)),a44)
% 4.53/4.63 [520]P5(x5201,f21(f15(x5202)),a44)+~P5(f30(x5201,x5203),f21(f15(x5202)),a44)
% 4.53/4.63 [523]~E(f15(x5232),f15(x5233))+E(f15(f40(x5231,x5232,a44)),f15(f40(x5231,x5233,a44)))
% 4.53/4.63 [590]~P5(x5901,f22(x5903),a44)+P5(x5901,f22(f40(x5902,x5903,a44)),a44)
% 4.53/4.63 [591]~P5(x5911,f15(x5913),a44)+P5(x5911,f15(f40(x5912,x5913,a44)),a44)
% 4.53/4.63 [633]~P5(x6331,x6333,a44)+P7(f22(f40(x6331,x6332,a44)),f10(f22(x6333),f22(x6332),f46(a44,a1)),f46(a44,a1))
% 4.53/4.63 [684]P7(f15(f40(x6841,x6842,a44)),f10(f21(f15(x6843)),f15(f10(x6843,x6842,f46(a44,a1))),f46(a44,a1)),f46(a44,a1))+~P5(x6841,f21(f15(x6843)),a44)
% 4.53/4.63 [525]P5(x5251,a5,a42)+E(f4(a19,f13(f7(x5251,x5252),x5253,a2)),f4(a19,x5253))
% 4.53/4.63 [535]E(x5351,a19)+E(f4(x5351,f13(f6(x5351,x5352),x5353,a2)),f40(x5352,f4(x5351,x5353),a44))
% 4.53/4.63 [536]P5(x5361,f11(x5362),a44)+~P5(x5361,f22(f4(x5363,f3(a2))),a44)
% 4.53/4.63 [572]~P5(x5721,a5,a42)+E(f4(a19,f13(f7(x5721,x5722),x5723,a2)),f40(x5722,f4(a19,x5723),a44))
% 4.53/4.63 [578]E(x5781,x5782)+~E(f40(x5781,f35(f46(x5783,a1)),x5783),f40(x5782,f35(f46(x5783,a1)),x5783))
% 4.53/4.63 [579]P5(f39(a29,f14(x5791)),f15(x5793),a44)+E(f15(f40(f27(x5791,x5792),x5793,a44)),f40(f27(x5791,x5792),f15(x5793),a44))
% 4.53/4.63 [611]E(x6111,x6112)+~P5(x6111,f40(x6112,f35(f46(x6113,a1)),x6113),x6113)
% 4.53/4.63 [617]~P5(x6171,f15(x6173),a44)+P5(x6171,f15(f10(x6172,x6173,f46(a44,a1))),a44)
% 4.53/4.63 [645]~P5(f39(a29,f14(x6451)),f15(x6453),a44)+E(f40(f27(x6451,x6452),f15(f40(x6452,x6453,a44)),a44),f15(f40(f27(x6451,x6452),x6453,a44)))
% 4.53/4.63 [683]~P5(f39(a29,f14(x6831)),f15(x6833),a44)+P7(f40(f27(x6831,x6832),f15(f40(x6832,x6833,a44)),a44),f15(f40(f27(x6831,x6832),x6833,a44)),f46(a44,a1))
% 4.53/4.63 [701]~P5(x7011,x7012,a45)+P5(f39(a29,x7011),f15(f10(f41(a29,x7012,a45,a44),x7013,f46(a44,a1))),a44)
% 4.53/4.63 [588]~P5(x5882,a5,a42)+P5(f39(a29,f14(f39(f38(x5881),x5882))),f4(a19,x5883),a44)
% 4.53/4.63 [631]P5(x6312,a5,a42)+E(f4(a19,f9(x6311,f13(f7(x6312,x6313),f3(a2),a2),a2)),f4(a19,x6311))
% 4.53/4.63 [644]~P5(x6442,a5,a42)+E(f4(a19,f9(x6441,f13(f7(x6442,x6443),f3(a2),a2),a2)),f40(x6443,f4(a19,x6441),a44))
% 4.53/4.63 [408]E(x4081,x4082)+~E(f6(x4083,x4081),f6(x4084,x4082))
% 4.53/4.63 [409]E(x4091,x4092)+~E(f7(x4093,x4091),f7(x4094,x4092))
% 4.53/4.63 [410]E(x4101,x4102)+~E(f27(x4103,x4101),f27(x4104,x4102))
% 4.53/4.63 [411]E(x4111,x4112)+~E(f30(x4113,x4111),f30(x4114,x4112))
% 4.53/4.63 [412]E(x4121,x4122)+~E(f6(x4121,x4123),f6(x4122,x4124))
% 4.53/4.63 [414]E(x4141,x4142)+~E(f7(x4141,x4143),f7(x4142,x4144))
% 4.53/4.63 [415]E(x4151,x4152)+~E(f27(x4151,x4153),f27(x4152,x4154))
% 4.53/4.63 [416]E(x4161,x4162)+~E(f30(x4161,x4163),f30(x4162,x4164))
% 4.53/4.63 [474]E(x4741,x4742)+~E(f9(x4743,x4741,x4744),f9(x4743,x4742,x4744))
% 4.53/4.63 [476]E(x4761,x4762)+~E(f9(x4761,x4763,x4764),f9(x4762,x4763,x4764))
% 4.53/4.63 [534]~P5(x5341,x5343,x5344)+P5(x5341,f40(x5342,x5343,x5344),x5344)
% 4.53/4.63 [559]~P7(x5591,x5593,f46(x5594,a1))+P7(x5591,f40(x5592,x5593,x5594),f46(x5594,a1))
% 4.53/4.63 [587]P5(x5871,x5872,x5873)+~P7(f40(x5871,x5874,x5873),x5872,f46(x5873,a1))
% 4.53/4.63 [589]P5(x5891,f11(x5892),a44)+~P5(f8(x5893,x5894,x5891),f18(x5892,a2),a2)
% 4.53/4.63 [594]P5(x5941,f4(a19,x5942),a44)+~P5(f8(x5943,x5944,x5941),f18(x5942,a2),a2)
% 4.53/4.63 [595]P5(x5951,f4(x5952,x5953),a44)+~P5(f8(x5952,x5954,x5951),f18(x5953,a2),a2)
% 4.53/4.63 [596]~P7(f40(x5964,x5961,x5963),x5962,f46(x5963,a1))+P7(x5961,x5962,f46(x5963,a1))
% 4.53/4.63 [600]~P5(f9(x6004,x6001,x6003),f17(x6002,x6003),f43(x6003))+P5(x6001,f17(x6002,x6003),f43(x6003))
% 4.53/4.63 [601]~P5(f9(x6011,x6014,x6013),f17(x6012,x6013),f43(x6013))+P5(x6011,f17(x6012,x6013),f43(x6013))
% 4.53/4.63 [607]~P7(x6072,x6074,f46(x6073,a1))+P7(f40(x6071,x6072,x6073),f40(x6071,x6074,x6073),f46(x6073,a1))
% 4.53/4.63 [420]E(x4201,x4202)+~E(f39(f38(x4203),x4201),f39(f38(x4204),x4202))
% 4.53/4.63 [421]E(x4211,x4212)+~E(f39(f38(x4211),x4213),f39(f38(x4212),x4214))
% 4.53/4.63 [555]~P15(f39(x5552,x5554))+P15(f39(f40(x5551,x5552,x5553),x5554))
% 4.53/4.63 [556]~P5(x5561,x5563,x5564)+P5(x5561,f10(x5562,x5563,f46(x5564,a1)),x5564)
% 4.53/4.63 [557]~P5(x5571,x5572,x5574)+P5(x5571,f10(x5572,x5573,f46(x5574,a1)),x5574)
% 4.53/4.63 [574]~P9(x5744)+E(f10(x5741,f10(x5742,x5743,x5744),x5744),f10(x5742,f10(x5741,x5743,x5744),x5744))
% 4.53/4.63 [575]~P10(x5754)+E(f10(x5751,f10(x5752,x5753,x5754),x5754),f10(x5752,f10(x5751,x5753,x5754),x5754))
% 4.53/4.63 [576]~P9(x5763)+E(f10(f10(x5761,x5762,x5763),x5764,x5763),f10(x5761,f10(x5762,x5764,x5763),x5763))
% 4.53/4.63 [577]~P10(x5773)+E(f10(f10(x5771,x5772,x5773),x5774,x5773),f10(x5771,f10(x5772,x5774,x5773),x5773))
% 4.53/4.63 [602]~P5(f8(x6023,x6024,x6021),f18(x6022,a2),a2)+P5(x6021,f22(f4(a19,x6022)),a44)
% 4.53/4.63 [603]~P5(f8(x6033,x6034,x6031),f18(x6032,a2),a2)+P5(x6031,f15(f4(a19,x6032)),a44)
% 4.53/4.63 [615]P7(x6151,x6152,f46(x6153,a1))+~P7(f10(x6154,x6151,f46(x6153,a1)),x6152,f46(x6153,a1))
% 4.53/4.63 [616]P7(x6161,x6162,f46(x6163,a1))+~P7(f10(x6161,x6164,f46(x6163,a1)),x6162,f46(x6163,a1))
% 4.53/4.63 [619]~E(f41(x6193,x6191,x6192,x6194),f35(f46(x6194,a1)))+E(x6191,f35(f46(x6192,a1)))
% 4.53/4.63 [671]E(x6711,x6712)+~P5(f39(f38(x6711),x6713),f41(f38(x6712),x6714,a42,a45),a45)
% 4.53/4.63 [676]P5(x6761,x6762,a42)+~P5(f39(f38(x6763),x6761),f41(f38(x6764),x6762,a42,a45),a45)
% 4.53/4.63 [561]~E(f16(x5611,x5613),f13(x5614,x5612,x5613))+E(x5611,f9(f16(x5612,x5613),f13(x5614,f3(x5613),x5613),x5613))
% 4.53/4.63 [597]~P15(f39(x5972,x5974))+P15(f39(f10(x5971,x5972,f46(x5973,a1)),x5974))
% 4.53/4.63 [598]~P15(f39(x5981,x5984))+P15(f39(f10(x5981,x5982,f46(x5983,a1)),x5984))
% 4.53/4.63 [668]~P5(x6681,f15(f4(a19,x6684)),a44)+P5(x6681,f15(f4(a19,f13(f6(x6682,x6683),x6684,a2))),a44)
% 4.53/4.63 [669]~P5(x6691,f15(f4(a19,x6694)),a44)+P5(x6691,f15(f4(a19,f13(f7(x6692,x6693),x6694,a2))),a44)
% 4.53/4.63 [472]E(x4721,x4722)+~E(f13(x4723,x4721,x4724),f13(x4725,x4722,x4724))
% 4.53/4.63 [475]E(x4751,x4752)+~E(f13(x4751,x4753,x4754),f13(x4752,x4755,x4754))
% 4.53/4.63 [653]~P5(x6532,x6533,x6534)+P5(f39(x6531,x6532),f41(x6531,x6533,x6534,x6535),x6535)
% 4.53/4.63 [686]~P7(x6862,x6865,f46(x6863,a1))+P7(f41(x6861,x6862,x6863,x6864),f41(x6861,x6865,x6863,x6864),f46(x6864,a1))
% 4.53/4.63 [670]~P5(x6702,x6703,x6704)+E(f40(f39(x6701,x6702),f41(x6701,x6703,x6704,x6705),x6705),f41(x6701,x6703,x6704,x6705))
% 4.53/4.63 [635]E(x6351,x6352)+~E(f9(x6353,f13(x6351,f3(x6354),x6354),x6354),f9(x6355,f13(x6352,f3(x6354),x6354),x6354))
% 4.53/4.63 [636]E(x6361,x6362)+~E(f9(x6361,f13(x6363,f3(x6364),x6364),x6364),f9(x6362,f13(x6365,f3(x6364),x6364),x6364))
% 4.53/4.63 [689]~P5(x6891,f15(f4(a19,x6895)),a44)+P5(x6891,f15(f4(a19,f13(f8(x6892,x6893,x6894),x6895,a2))),a44)
% 4.53/4.63 [471]E(x4711,x4712)+~E(f8(x4713,x4714,x4711),f8(x4715,x4716,x4712))
% 4.53/4.63 [473]E(x4731,x4732)+~E(f8(x4733,x4731,x4734),f8(x4735,x4732,x4736))
% 4.53/4.63 [477]E(x4771,x4772)+~E(f8(x4771,x4773,x4774),f8(x4772,x4775,x4776))
% 4.53/4.63 [694]P5(x6941,f22(f4(a19,x6942)),a44)+~P5(f8(a20,x6943,f27(f39(a34,x6943),f30(x6944,f30(x6945,f30(x6941,x6946))))),f18(x6942,a2),a2)
% 4.53/4.63 [691]P5(x6911,f22(f4(a19,x6912)),a44)+~P5(f8(x6913,x6914,f27(x6915,f30(x6916,f30(x6917,f30(x6918,x6911))))),f18(x6912,a2),a2)
% 4.53/4.63 [430]~E(a49,a48)+~E(a51,a50)+~E(f27(a53,f30(f28(a56),f28(a56))),a57)
% 4.53/4.63 [697]~P5(f27(a53,f30(f28(a56),f28(a56))),f22(f4(a19,a47)),a44)+P5(f8(a49,a51,f27(a53,f30(f28(a56),f28(a56)))),f18(a47,a2),a2)+~P5(f27(f39(a34,a49),f30(f28(a54),f30(f24(a51),f30(f39(a29,a53),a58)))),f22(f4(a19,a47)),a44)
% 4.53/4.63 [515]P5(f26(x5151),x5152,a44)+P5(x5151,f21(x5152),a44)+~P5(f26(x5151),f21(x5152),a44)
% 4.53/4.63 [585]~P5(x5851,a5,a42)+~P5(x5852,a36,f43(a2))+P5(f39(a29,f39(a34,x5851)),f22(f4(a19,x5852)),a44)
% 4.53/4.63 [586]~P5(x5861,a5,a42)+~P5(x5862,a36,f43(a2))+P5(f39(a29,f39(a34,x5861)),f15(f4(a19,x5862)),a44)
% 4.53/4.63 [608]P5(x6081,a5,a42)+~P5(x6082,a36,f43(a2))+~P5(f39(a29,f39(a34,x6081)),f22(f4(a19,x6082)),a44)
% 4.53/4.63 [609]P5(x6091,a5,a42)+~P5(x6092,a36,f43(a2))+~P5(f39(a29,f39(a34,x6091)),f15(f4(a19,x6092)),a44)
% 4.53/4.63 [687]~P5(x6872,a36,f43(a2))+P5(x6871,f41(a34,f37(f46(a42,a1)),a42,a45),a45)+P5(f39(a29,x6871),f15(f40(f39(a29,x6871),f4(a19,x6872),a44)),a44)
% 4.53/4.63 [447]P7(x4472,x4471,x4473)+~P12(x4473)+P7(x4471,x4472,x4473)
% 4.53/4.63 [442]~P1(x4422)+~E(f10(x4423,x4421,x4422),f35(x4422))+E(x4421,f35(x4422))
% 4.53/4.63 [443]~P1(x4432)+~E(f10(x4431,x4433,x4432),f35(x4432))+E(x4431,f35(x4432))
% 4.53/4.63 [454]~P9(x4543)+~P7(x4541,x4542,x4543)+E(f10(x4541,x4542,x4543),x4542)
% 4.53/4.63 [455]~P9(x4553)+~P7(x4552,x4551,x4553)+E(f10(x4551,x4552,x4553),x4551)
% 4.53/4.63 [456]~P9(x4563)+P7(x4561,x4562,x4563)+~E(f10(x4561,x4562,x4563),x4562)
% 4.53/4.63 [530]E(x5301,a19)+P5(x5302,f4(x5301,x5303),a44)+~P5(f6(x5301,x5302),f18(x5303,a2),a2)
% 4.53/4.63 [532]E(x5321,x5322)+~P7(x5321,x5322,f46(x5323,a1))+~P7(x5322,x5321,f46(x5323,a1))
% 4.53/4.63 [543]~P5(x5431,a31,a45)+P5(x5431,f25(x5432),a45)+~P5(f27(x5431,x5433),x5432,a44)
% 4.53/4.63 [544]P5(f30(x5441,x5442),f21(x5443),a44)+~P5(x5442,f21(x5443),a44)+~P5(x5441,f21(x5443),a44)
% 4.53/4.63 [545]P5(x5451,f21(x5452),a44)+P5(f27(x5453,x5451),x5452,a44)+~P5(f27(x5453,x5451),f21(x5452),a44)
% 4.53/4.63 [546]P5(x5461,f21(x5462),a44)+P5(f30(x5463,x5461),x5462,a44)+~P5(f30(x5463,x5461),f21(x5462),a44)
% 4.53/4.63 [547]P5(x5471,f21(x5472),a44)+P5(f30(x5471,x5473),x5472,a44)+~P5(f30(x5471,x5473),f21(x5472),a44)
% 4.53/4.63 [548]~P7(x5483,f21(x5482),f46(a44,a1))+P5(x5481,f21(x5482),a44)+~P5(x5481,f21(x5483),a44)
% 4.53/4.63 [549]~P7(x5493,f22(x5492),f46(a44,a1))+P5(x5491,f22(x5492),a44)+~P5(x5491,f22(x5493),a44)
% 4.53/4.63 [550]~P7(x5503,f15(x5502),f46(a44,a1))+P5(x5501,f15(x5502),a44)+~P5(x5501,f15(x5503),a44)
% 4.53/4.63 [554]~P5(f27(x5541,x5542),f21(x5543),a44)+P5(f27(x5541,x5542),x5543,a44)+P5(f39(a29,x5541),x5543,a44)
% 4.53/4.63 [558]P5(f27(x5581,x5582),f21(x5583),a44)+~P5(x5582,f21(x5583),a44)+~P5(f39(a29,x5581),x5583,a44)
% 4.53/4.63 [567]~P5(x5673,a5,a42)+~P5(f7(x5673,x5671),f18(x5672,a2),a2)+P5(x5671,f4(a19,x5672),a44)
% 4.53/4.63 [571]~P7(x5713,x5712,f46(a44,a1))+~P5(x5711,f15(x5713),a44)+E(f15(f40(x5711,x5712,a44)),f15(x5712))
% 4.53/4.63 [584]P5(x5841,f15(x5842),a44)+~P5(f27(x5843,x5841),f15(x5842),a44)+~P5(f39(a29,f14(x5843)),f15(x5842),a44)
% 4.53/4.63 [604]P5(x6041,f21(f15(x6042)),a44)+P5(f26(f30(x6041,x6043)),f15(x6042),a44)+~P5(f26(f30(x6041,x6043)),f21(f15(x6042)),a44)
% 4.53/4.63 [622]~P5(x6223,a5,a42)+P5(x6221,f15(f4(a19,x6222)),a44)+~P5(f27(f39(a34,x6223),x6221),f15(f4(a19,x6222)),a44)
% 4.53/4.63 [624]P5(x6241,f15(x6242),a44)+~P5(f27(f39(a34,x6243),x6241),f15(x6242),a44)+~P5(f39(a29,f39(a34,x6243)),f15(x6242),a44)
% 4.53/4.63 [638]P5(x6381,f21(x6382),a44)+~P5(x6383,f21(x6382),a44)+~P5(x6381,f21(f40(x6383,x6382,a44)),a44)
% 4.53/4.63 [639]P5(x6391,f15(x6392),a44)+~P5(x6393,f15(x6392),a44)+~P5(x6391,f15(f40(x6393,x6392,a44)),a44)
% 4.53/4.63 [659]P5(x6591,f10(f21(f15(x6592)),f22(x6592),f46(a44,a1)),a44)+~P5(x6593,f21(f15(x6592)),a44)+~P5(x6591,f22(f40(x6593,x6592,a44)),a44)
% 4.53/4.63 [640]~P3(x6403)+~P5(x6402,f21(f15(f4(a19,x6403))),a44)+P3(f13(f8(a19,x6401,x6402),x6403,a2))
% 4.53/4.63 [642]~P7(x6421,f40(x6423,f35(f46(x6422,a1)),x6422),f46(x6422,a1))+E(x6421,f35(f46(x6422,a1)))+E(x6421,f40(x6423,f35(f46(x6422,a1)),x6422))
% 4.53/4.63 [654]P5(x6541,f22(x6542),a44)+P5(x6541,f22(x6543),a44)+~P5(x6541,f22(f10(x6542,x6543,f46(a44,a1))),a44)
% 4.53/4.63 [656]~P5(x6563,a36,f43(a2))+P5(f13(f8(a19,x6561,x6562),x6563,a2),a36,f43(a2))+~P5(x6562,f21(f15(f4(a19,x6563))),a44)
% 4.53/4.63 [679]P5(x6791,f10(f21(f15(x6792)),f22(x6792),f46(a44,a1)),a44)+~P5(x6793,f21(f15(x6792)),a44)+~P5(x6791,f22(f40(x6793,f35(f46(a44,a1)),a44)),a44)
% 4.53/4.63 [496]~P7(x4963,x4961,f46(x4964,a1))+P15(f39(x4961,x4962))+~P15(f39(x4963,x4962))
% 4.53/4.63 [537]~P9(x5374)+~P7(x5371,x5373,x5374)+P7(x5371,f10(x5372,x5373,x5374),x5374)
% 4.53/4.63 [538]~P9(x5384)+~P7(x5381,x5382,x5384)+P7(x5381,f10(x5382,x5383,x5384),x5384)
% 4.53/4.63 [542]P5(x5421,x5422,x5423)+~P5(x5421,x5424,x5423)+~P7(x5424,x5422,f46(x5423,a1))
% 4.53/4.63 [562]E(x5621,x5622)+P5(x5621,x5623,x5624)+~P5(x5621,f40(x5622,x5623,x5624),x5624)
% 4.53/4.63 [564]~P9(x5643)+P7(x5641,x5642,x5643)+~P7(f10(x5644,x5641,x5643),x5642,x5643)
% 4.53/4.63 [566]~P9(x5663)+P7(x5661,x5662,x5663)+~P7(f10(x5661,x5664,x5663),x5662,x5663)
% 4.53/4.63 [568]P5(x5681,x5682,x5683)+~P5(x5684,f17(x5682,x5683),f43(x5683))+~P5(x5681,f18(x5684,x5683),x5683)
% 4.53/4.63 [569]~P7(x5691,x5694,f46(x5693,a1))+~P7(x5694,x5692,f46(x5693,a1))+P7(x5691,x5692,f46(x5693,a1))
% 4.53/4.63 [605]~P5(x6051,x6054,x6053)+~P7(x6052,x6054,f46(x6053,a1))+P7(f40(x6051,x6052,x6053),x6054,f46(x6053,a1))
% 4.53/4.63 [613]P5(x6131,x6132,x6133)+~P7(x6132,f40(x6131,x6134,x6133),f46(x6133,a1))+P7(x6132,x6134,f46(x6133,a1))
% 4.53/4.63 [623]P5(f9(x6231,x6232,x6233),f17(x6234,x6233),f43(x6233))+~P5(x6232,f17(x6234,x6233),f43(x6233))+~P5(x6231,f17(x6234,x6233),f43(x6233))
% 4.53/4.63 [610]E(x6101,x6102)+P15(f39(x6103,x6101))+~P15(f39(f40(x6102,x6103,x6104),x6101))
% 4.53/4.63 [614]P5(x6141,x6142,x6143)+P5(x6141,x6144,x6143)+~P5(x6141,f10(x6142,x6144,f46(x6143,a1)),x6143)
% 4.53/4.63 [628]~P7(x6281,x6284,f46(x6283,a1))+~P7(x6282,x6284,f46(x6283,a1))+P7(f10(x6281,x6282,f46(x6283,a1)),x6284,f46(x6283,a1))
% 4.53/4.63 [634]E(x6341,x6342)+P5(x6341,f18(x6343,x6344),x6344)+~P5(x6341,f18(f13(x6342,x6343,x6344),x6344),x6344)
% 4.53/4.63 [573]~E(f15(x5731),f15(x5733))+~E(f15(x5732),f15(x5734))+E(f15(f10(x5731,x5732,f46(a44,a1))),f15(f10(x5733,x5734,f46(a44,a1))))
% 4.53/4.63 [641]P15(f39(x6411,x6412))+P15(f39(x6413,x6412))+~P15(f39(f10(x6411,x6413,f46(x6414,a1)),x6412))
% 4.53/4.63 [667]~P5(x6674,f22(x6673),a44)+~P5(x6671,f22(f40(x6674,x6672,a44)),a44)+P5(x6671,f22(f10(x6672,x6673,f46(a44,a1))),a44)
% 4.53/4.63 [675]~P7(f15(x6752),f15(x6754),f46(a44,a1))+~P7(f15(x6751),f15(x6753),f46(a44,a1))+P7(f15(f10(x6751,x6752,f46(a44,a1))),f15(f10(x6753,x6754,f46(a44,a1))),f46(a44,a1))
% 4.53/4.63 [674]~P3(x6742)+P5(f28(x6741),f11(x6742),a44)+P3(f13(f8(x6743,a20,f30(f24(x6743),f30(f24(x6744),f28(x6741)))),x6742,a2))
% 4.53/4.63 [681]P5(f28(x6811),f11(x6812),a44)+~P5(x6812,a36,f43(a2))+P5(f13(f8(x6813,a20,f30(f24(x6813),f30(f24(x6814),f28(x6811)))),x6812,a2),a36,f43(a2))
% 4.53/4.63 [529]~P2(x5294)+P7(f39(x5291,x5292),f39(x5293,x5292),x5294)+~P7(x5291,x5293,f46(x5295,x5294))
% 4.53/4.63 [646]~P7(x6461,x6464,f46(x6463,a1))+~P7(x6462,x6465,f46(x6463,a1))+P7(f10(x6461,x6462,f46(x6463,a1)),f10(x6464,x6465,f46(x6463,a1)),f46(x6463,a1))
% 4.53/4.63 [663]E(x6631,x6632)+E(x6631,x6633)+~E(f40(x6634,f40(x6631,f35(f46(x6635,a1)),x6635),x6635),f40(x6633,f40(x6632,f35(f46(x6635,a1)),x6635),x6635))
% 4.53/4.63 [664]E(x6641,x6642)+E(x6643,x6642)+~E(f40(x6643,f40(x6641,f35(f46(x6644,a1)),x6644),x6644),f40(x6645,f40(x6642,f35(f46(x6644,a1)),x6644),x6644))
% 4.53/4.63 [665]E(x6651,x6652)+E(x6653,x6652)+~E(f40(x6653,f40(x6651,f35(f46(x6654,a1)),x6654),x6654),f40(x6652,f40(x6655,f35(f46(x6654,a1)),x6654),x6654))
% 4.53/4.63 [666]E(x6661,x6662)+E(x6661,x6663)+~E(f40(x6661,f40(x6664,f35(f46(x6665,a1)),x6665),x6665),f40(x6663,f40(x6662,f35(f46(x6665,a1)),x6665),x6665))
% 4.53/4.63 [678]~P5(x6782,x6785,x6786)+P5(f39(x6781,x6782),x6783,x6784)+~P7(f41(x6781,x6785,x6786,x6784),x6783,f46(x6784,a1))
% 4.53/4.63 [707]E(x7071,f39(a34,x7072))+~P5(x7073,a36,f43(a2))+~P5(f8(a20,x7072,f27(x7071,f30(x7074,f30(f24(x7075),f30(f39(a29,x7076),x7077))))),f18(x7073,a2),a2)
% 4.53/4.63 [708]~P5(x7085,a36,f43(a2))+E(x7081,f27(f39(a34,x7082),f30(f39(a29,x7083),f24(x7084))))+~P5(f8(a20,x7084,f27(x7086,f30(x7087,f30(f24(x7082),f30(f39(a29,x7083),x7081))))),f18(x7085,a2),a2)
% 4.53/4.63 [714]~P5(x7141,a36,f43(a2))+~P5(x7142,f41(a34,f37(f46(a42,a1)),a42,a45),a45)+~P5(f8(a20,x7143,f27(x7144,f30(x7145,f30(f24(x7146),f30(f39(a29,x7142),x7147))))),f18(x7141,a2),a2)
% 4.53/4.63 [632]~P5(x6321,a31,a45)+P5(f39(a29,x6321),f11(x6322),a44)+~P5(x6322,a36,f43(a2))+~P5(x6321,f25(f22(f4(a19,x6322))),a45)
% 4.53/4.63 [482]~P7(x4822,x4821,x4823)+~P7(x4821,x4822,x4823)+E(x4821,x4822)+~P8(x4823)
% 4.53/4.63 [606]~P5(f27(x6063,x6061),f15(x6062),a44)+P5(x6061,f15(x6062),a44)+~P5(x6063,a31,a45)+~P5(f39(a29,x6063),f15(x6062),a44)
% 4.53/4.63 [630]~P5(f39(a29,x6303),f15(x6302),a44)+~P5(f27(x6303,x6301),f21(f15(x6302)),a44)+P5(x6301,f21(f15(x6302)),a44)+~P5(f39(a29,f14(x6303)),f15(x6302),a44)
% 4.53/4.63 [526]~P8(x5263)+~P7(x5261,x5264,x5263)+P7(x5261,x5262,x5263)+~P7(x5264,x5262,x5263)
% 4.53/4.63 [527]~P14(x5273)+~P7(x5271,x5274,x5273)+P7(x5271,x5272,x5273)+~P7(x5274,x5272,x5273)
% 4.53/4.63 [551]P5(x5513,x5511,x5514)+E(x5511,x5512)+P5(x5513,x5512,x5514)+~E(f40(x5513,x5511,x5514),f40(x5513,x5512,x5514))
% 4.53/4.63 [583]~P9(x5833)+~P7(x5832,x5834,x5833)+~P7(x5831,x5834,x5833)+P7(f10(x5831,x5832,x5833),x5834,x5833)
% 4.53/4.63 [657]~P7(x6573,x6572,f46(a44,a1))+P5(f39(a29,x6571),f15(x6572),a44)+~P5(x6574,f21(f15(x6573)),a44)+~P5(f39(a29,x6571),f15(f40(x6574,x6572,a44)),a44)
% 4.53/4.63 [692]~P5(x6924,f21(f15(x6922)),a44)+P5(f39(a29,f14(x6921)),f22(x6922),a44)+~P5(x6921,f25(f22(f40(x6924,x6923,a44))),a45)+P5(x6921,f25(f22(f10(x6923,x6922,f46(a44,a1)))),a45)
% 4.53/4.63 [727]P5(x7271,a5,a42)+~P5(x7274,a36,f43(a2))+~P5(f27(f39(a34,x7271),f30(f39(a29,x7273),f24(x7272))),f22(f4(a19,x7274)),a44)+P5(f8(a20,x7272,f27(f39(a34,x7272),f30(f62(x7272,x7271,x7273,x7274),f30(f24(x7271),f30(f39(a29,x7273),f27(f39(a34,x7271),f30(f39(a29,x7273),f24(x7272)))))))),f18(x7274,a2),a2)
% 4.53/4.63 [695]P5(x6954,a5,a42)+~P5(x6955,a36,f43(a2))+E(x6951,f27(f39(a34,x6952),f30(f39(a29,x6953),f24(x6954))))+~P5(f27(f39(a34,x6954),f30(x6956,f30(f24(x6952),f30(f39(a29,x6953),x6951)))),f22(f4(a19,x6955)),a44)
% 4.53/4.63 [706]P5(x7061,a5,a42)+~P5(x7062,a36,f43(a2))+~P5(x7063,f41(a34,f37(f46(a42,a1)),a42,a45),a45)+~P5(f27(f39(a34,x7061),f30(x7064,f30(f24(x7065),f30(f39(a29,x7063),x7066)))),f22(f4(a19,x7062)),a44)
% 4.53/4.63 [711]P5(x7111,a5,a42)+~P5(x7116,a36,f43(a2))+~P5(f27(f39(a34,x7111),f30(x7112,f30(f24(x7113),f30(f39(a29,x7114),x7115)))),f22(f4(a19,x7116)),a44)+P5(f8(a20,x7111,f27(f39(a34,x7111),f30(x7112,f30(f24(x7113),f30(f39(a29,x7114),x7115))))),f18(x7116,a2),a2)
% 4.53/4.63 [709]~P5(x7095,a36,f43(a2))+P5(x7091,f15(f4(a19,x7095)),a44)+E(x7091,f27(f39(a34,x7092),f30(f39(a29,x7093),f24(x7094))))+~P5(f8(x7096,x7094,f27(f39(a34,x7094),f30(f28(x7097),f30(f24(x7092),f30(f39(a29,x7093),x7091))))),f18(x7095,a2),a2)
% 4.53/4.63 [716]~P5(x7162,a36,f43(a2))+P5(x7161,f15(f4(a19,x7162)),a44)+~P5(x7163,f41(a34,f37(f46(a42,a1)),a42,a45),a45)+~P5(f8(x7164,x7165,f27(f39(a34,x7165),f30(f28(x7166),f30(f24(x7167),f30(f39(a29,x7163),x7161))))),f18(x7162,a2),a2)
% 4.53/4.63 [719]~P3(x7194)+~P5(f8(x7195,x7196,f27(x7193,f28(x7192))),f18(x7194,a2),a2)+~P5(f8(a20,x7196,f27(f39(a34,x7196),f30(f28(x7191),f30(f24(x7195),f30(f39(a29,x7193),x7197))))),f18(x7194,a2),a2)+P3(f13(f7(a19,f30(f28(x7191),f30(f28(x7192),f39(a29,x7193)))),x7194,a2))
% 4.53/4.63 [722]~P5(x7224,a36,f43(a2))+~P5(f8(x7225,x7226,f27(x7223,f28(x7222))),f18(x7224,a2),a2)+P5(f13(f7(a19,f30(f28(x7221),f30(f28(x7222),f39(a29,x7223)))),x7224,a2),a36,f43(a2))+~P5(f8(a20,x7226,f27(f39(a34,x7226),f30(f28(x7221),f30(f24(x7225),f30(f39(a29,x7223),x7227))))),f18(x7224,a2),a2)
% 4.53/4.63 [723]E(x7231,x7232)+~P5(x7233,a36,f43(a2))+~P5(f8(a20,x7238,f27(f39(a34,x7238),f30(x7239,f30(f24(x72310),f30(f39(a29,x7237),x7232))))),f18(x7233,a2),a2)+~P5(f8(a20,x7234,f27(f39(a34,x7234),f30(x7235,f30(f24(x7236),f30(f39(a29,x7237),x7231))))),f18(x7233,a2),a2)
% 4.53/4.63 [724]E(x7241,x7242)+~P5(x7243,a36,f43(a2))+~P5(f8(a20,x7248,f27(f39(a34,x7248),f30(x7249,f30(f24(x7242),f30(f39(a29,x7246),x72410))))),f18(x7243,a2),a2)+~P5(f8(a20,x7244,f27(f39(a34,x7244),f30(x7245,f30(f24(x7241),f30(f39(a29,x7246),x7247))))),f18(x7243,a2),a2)
% 4.53/4.63 [725]E(x7251,x7252)+~P5(x7253,a36,f43(a2))+~P5(f8(a20,x7258,f27(f39(a34,x7258),f30(x7252,f30(f24(x7259),f30(f39(a29,x7256),x72510))))),f18(x7253,a2),a2)+~P5(f8(a20,x7254,f27(f39(a34,x7254),f30(x7251,f30(f24(x7255),f30(f39(a29,x7256),x7257))))),f18(x7253,a2),a2)
% 4.53/4.63 [726]E(x7261,x7262)+~P5(x7263,a36,f43(a2))+~P5(f8(a20,x7261,f27(f39(a34,x7261),f30(x7268,f30(f24(x7269),f30(f39(a29,x7266),x72610))))),f18(x7263,a2),a2)+~P5(f8(a20,x7262,f27(f39(a34,x7262),f30(x7264,f30(f24(x7265),f30(f39(a29,x7266),x7267))))),f18(x7263,a2),a2)
% 4.53/4.63 [690]E(x6901,x6902)+~P5(x6903,a36,f43(a2))+P5(f39(a29,x6901),f15(f4(a19,x6903)),a44)+P5(x6902,f41(a34,f37(f46(a42,a1)),a42,a45),a45)+~P5(f39(a29,x6901),f15(f40(f39(a29,x6902),f4(a19,x6903),a44)),a44)
% 4.53/4.63 [693]~P3(x6932)+~P5(x6935,a31,a45)+P5(f28(x6931),f11(x6932),a44)+~P5(f8(x6936,x6933,f27(f39(a34,x6933),f30(f39(a29,x6935),f24(x6934)))),f18(x6932,a2),a2)+P3(f13(f8(x6933,x6934,f27(x6935,f28(x6931))),x6932,a2))
% 4.53/4.63 [696]~P5(x6965,a31,a45)+P5(f28(x6961),f11(x6962),a44)+~P5(x6962,a36,f43(a2))+~P5(f8(x6966,x6963,f27(f39(a34,x6963),f30(f39(a29,x6965),f24(x6964)))),f18(x6962,a2),a2)+P5(f13(f8(x6963,x6964,f27(x6965,f28(x6961))),x6962,a2),a36,f43(a2))
% 4.53/4.63 [730]~P3(x7302)+~P5(x7301,a31,a45)+P5(f39(a29,x7301),f11(x7302),a44)+~P5(f8(x7306,a20,f30(f24(x7303),f30(f24(x7305),f28(x7304)))),f18(x7302,a2),a2)+P3(f13(f8(a20,x7303,f27(f39(a34,x7303),f30(f28(x7304),f30(f24(x7305),f30(f39(a29,x7301),f27(f39(a34,x7305),f30(f39(a29,x7301),f24(x7303)))))))),x7302,a2))
% 4.53/4.63 [731]~P5(x7311,a31,a45)+P5(f39(a29,x7311),f11(x7312),a44)+~P5(x7312,a36,f43(a2))+~P5(f8(x7316,a20,f30(f24(x7313),f30(f24(x7315),f28(x7314)))),f18(x7312,a2),a2)+P5(f13(f8(a20,x7313,f27(f39(a34,x7313),f30(f28(x7314),f30(f24(x7315),f30(f39(a29,x7311),f27(f39(a34,x7315),f30(f39(a29,x7311),f24(x7313)))))))),x7312,a2),a36,f43(a2))
% 4.53/4.63 [712]~P5(x7122,a36,f43(a2))+~P5(f27(x7121,f28(x7125)),f22(f4(a19,x7122)),a44)+P5(f39(a29,x7121),f15(f4(a19,x7122)),a44)+P5(f8(x7123,x7124,f27(x7121,f28(x7125))),f18(x7122,a2),a2)+~P5(f8(a20,x7124,f27(f39(a34,x7124),f30(x7126,f30(f24(x7123),f30(f39(a29,x7121),x7127))))),f18(x7122,a2),a2)
% 4.53/4.63 [713]~P5(x7132,a36,f43(a2))+~P5(f27(x7131,f28(x7135)),f22(f4(a19,x7132)),a44)+P5(f8(f64(x7133,x7134,x7132),x7133,x7134),f18(x7132,a2),a2)+P5(f39(a29,x7131),f15(f4(a19,x7132)),a44)+~P5(f8(a20,x7136,f27(f39(a34,x7136),f30(x7137,f30(f24(x7133),f30(f39(a29,x7131),x7134))))),f18(x7132,a2),a2)
% 4.53/4.63 [715]~P3(x7154)+E(x7151,a20)+~P5(f8(x7151,a20,f30(f24(x7151),f30(f24(x7152),f28(x7155)))),f18(x7154,a2),a2)+P3(f13(f8(x7151,x7152,x7153),x7154,a2))+~P5(f8(x7156,x7151,f27(f39(a34,x7151),f30(f28(x7155),f30(f24(x7152),f30(f39(a29,x7157),x7153))))),f18(x7154,a2),a2)
% 4.53/4.63 [717]E(x7171,a20)+~P5(x7174,a36,f43(a2))+P5(f13(f8(x7171,x7172,x7173),x7174,a2),a36,f43(a2))+~P5(f8(x7171,a20,f30(f24(x7171),f30(f24(x7172),f28(x7175)))),f18(x7174,a2),a2)+~P5(f8(x7176,x7171,f27(f39(a34,x7171),f30(f28(x7175),f30(f24(x7172),f30(f39(a29,x7177),x7173))))),f18(x7174,a2),a2)
% 4.53/4.63 [718]~P3(x7185)+~P5(x7183,a31,a45)+~P5(f8(x7186,x7181,f27(x7183,f28(x7184))),f18(x7185,a2),a2)+~P5(f8(x7187,x7181,f27(f39(a34,x7181),f30(f28(x7188),f30(f24(x7182),f30(f39(a29,x7183),x7189))))),f18(x7185,a2),a2)+P3(f13(f8(x7181,x7182,f27(x7183,f30(f28(x7184),f28(x7184)))),x7185,a2))
% 4.53/4.63 [720]~P5(x7203,a31,a45)+~P5(x7205,a36,f43(a2))+~P5(f8(x7206,x7201,f27(x7203,f28(x7204))),f18(x7205,a2),a2)+P5(f13(f8(x7201,x7202,f27(x7203,f30(f28(x7204),f28(x7204)))),x7205,a2),a36,f43(a2))+~P5(f8(x7207,x7201,f27(f39(a34,x7201),f30(f28(x7208),f30(f24(x7202),f30(f39(a29,x7203),x7209))))),f18(x7205,a2),a2)
% 4.53/4.63 [662]E(x6621,a19)+~P5(x6622,f4(x6621,x6623),a44)+P5(f7(x6621,x6622),f18(x6623,a2),a2)+P5(f6(x6621,x6622),f18(x6623,a2),a2)+P5(f8(x6621,f12(x6621,x6622,x6623),x6622),f18(x6623,a2),a2)+P5(x6622,f4(x6621,f3(a2)),a44)
% 4.53/4.63 [677]P4(x6772,x6771,f27(x6773,f28(x6774)),x6775)+P5(x6771,a5,a42)+P5(x6772,a5,a42)+~P5(x6775,a36,f43(a2))+P5(f39(a29,x6773),f15(f4(a19,x6775)),a44)+~P5(f8(x6772,x6771,f27(x6773,f28(x6774))),f18(x6775,a2),a2)
% 4.53/4.63 [729]P5(x7291,a5,a42)+P5(x7292,a5,a42)+~P5(x7295,a36,f43(a2))+~P5(f39(a29,x7294),f15(f4(a19,x7295)),a44)+P5(f7(a19,f30(x7293,f30(f66(x7294,x7293,x7295),f39(a29,x7294)))),f18(x7295,a2),a2)+~P5(f8(a20,x7291,f27(f39(a34,x7291),f30(x7293,f30(f24(x7292),f30(f39(a29,x7294),f27(f39(a34,x7292),f30(f39(a29,x7294),f24(x7291)))))))),f18(x7295,a2),a2)
% 4.53/4.63 [728]P5(x7281,a5,a42)+~P5(x7283,a36,f43(a2))+P5(f39(a29,x7282),f15(f4(a19,x7283)),a44)+~P5(f27(x7282,f30(f28(x7285),f28(x7285))),f22(f4(a19,x7283)),a44)+P5(f8(x7284,x7281,f27(x7282,f30(f28(x7285),f28(x7285)))),f18(x7283,a2),a2)+~P5(f8(a20,x7284,f27(f39(a34,x7284),f30(x7286,f30(f24(x7281),f30(f39(a29,x7282),f27(f39(a34,x7281),f30(f39(a29,x7282),f24(x7284)))))))),f18(x7283,a2),a2)
% 4.53/4.63 [721]P5(x7211,a5,a42)+P5(x7212,a5,a42)+~P5(x7215,a36,f43(a2))+~P5(f39(a29,x7214),f15(f4(a19,x7215)),a44)+P5(f7(a19,f30(x7213,f30(f65(x7214,x7213,x7215),f39(a29,x7214)))),f18(x7215,a2),a2)+~P5(f8(a20,x7211,f27(x7216,f30(x7213,f30(f24(x7212),f30(f39(a29,x7214),x7217))))),f18(x7215,a2),a2)
% 4.53/4.63 [698]P5(x6981,a5,a42)+P5(x6982,a5,a42)+~P5(x6985,a36,f43(a2))+~P5(f27(x6983,f30(f28(x6984),f28(x6984))),f22(f4(a19,x6985)),a44)+~P5(f27(f39(a34,x6981),f30(f39(a29,x6983),f24(x6982))),f22(f4(a19,x6985)),a44)+P5(f8(x6982,x6981,f27(x6983,f30(f28(x6984),f28(x6984)))),f18(x6985,a2),a2)+P5(f7(a19,f30(f60(x6983,x6985),f30(f63(x6983,x6985),f39(a29,x6983)))),f18(x6985,a2),a2)
% 4.53/4.63 [699]P4(x6992,x6991,f27(x6993,f28(x6994)),x6995)+P5(x6991,a5,a42)+P5(x6992,a5,a42)+~P5(x6995,a36,f43(a2))+~P5(f27(x6993,f28(x6994)),f22(f4(a19,x6995)),a44)+P5(f39(a29,x6993),f15(f4(a19,x6995)),a44)+~P5(f27(f39(a34,x6991),f30(x6996,f30(f24(x6992),f30(f39(a29,x6993),x6997)))),f22(f4(a19,x6995)),a44)
% 4.53/4.63 [710]P5(x7101,a5,a42)+P5(x7102,a5,a42)+~P5(x7105,a36,f43(a2))+~P5(f27(x7103,f28(x7104)),f22(f4(a19,x7105)),a44)+P5(f8(x7102,x7101,f27(x7103,f28(x7104))),f18(x7105,a2),a2)+P5(f7(a19,f30(x7106,f30(f61(x7103,x7106,x7105),f39(a29,x7103)))),f18(x7105,a2),a2)+~P5(f27(f39(a34,x7101),f30(x7106,f30(f24(x7102),f30(f39(a29,x7103),x7107)))),f22(f4(a19,x7105)),a44)
% 4.53/4.63 %EqnAxiom
% 4.53/4.63 [1]E(x11,x11)
% 4.53/4.63 [2]E(x22,x21)+~E(x21,x22)
% 4.53/4.63 [3]E(x31,x33)+~E(x31,x32)+~E(x32,x33)
% 4.53/4.63 [4]~E(x41,x42)+E(f3(x41),f3(x42))
% 4.53/4.63 [5]~E(x51,x52)+E(f14(x51),f14(x52))
% 4.53/4.63 [6]~E(x61,x62)+E(f39(x61,x63),f39(x62,x63))
% 4.53/4.63 [7]~E(x71,x72)+E(f39(x73,x71),f39(x73,x72))
% 4.53/4.63 [8]~E(x81,x82)+E(f21(x81),f21(x82))
% 4.53/4.63 [9]~E(x91,x92)+E(f22(x91),f22(x92))
% 4.53/4.63 [10]~E(x101,x102)+E(f4(x101,x103),f4(x102,x103))
% 4.53/4.63 [11]~E(x111,x112)+E(f4(x113,x111),f4(x113,x112))
% 4.53/4.63 [12]~E(x121,x122)+E(f18(x121,x123),f18(x122,x123))
% 4.53/4.63 [13]~E(x131,x132)+E(f18(x133,x131),f18(x133,x132))
% 4.53/4.63 [14]~E(x141,x142)+E(f8(x141,x143,x144),f8(x142,x143,x144))
% 4.53/4.63 [15]~E(x151,x152)+E(f8(x153,x151,x154),f8(x153,x152,x154))
% 4.53/4.63 [16]~E(x161,x162)+E(f8(x163,x164,x161),f8(x163,x164,x162))
% 4.53/4.63 [17]~E(x171,x172)+E(f27(x171,x173),f27(x172,x173))
% 4.53/4.63 [18]~E(x181,x182)+E(f27(x183,x181),f27(x183,x182))
% 4.53/4.63 [19]~E(x191,x192)+E(f15(x191),f15(x192))
% 4.53/4.63 [20]~E(x201,x202)+E(f30(x201,x203),f30(x202,x203))
% 4.53/4.63 [21]~E(x211,x212)+E(f30(x213,x211),f30(x213,x212))
% 4.53/4.63 [22]~E(x221,x222)+E(f46(x221,x223),f46(x222,x223))
% 4.53/4.63 [23]~E(x231,x232)+E(f46(x233,x231),f46(x233,x232))
% 4.53/4.63 [24]~E(x241,x242)+E(f40(x241,x243,x244),f40(x242,x243,x244))
% 4.53/4.63 [25]~E(x251,x252)+E(f40(x253,x251,x254),f40(x253,x252,x254))
% 4.53/4.63 [26]~E(x261,x262)+E(f40(x263,x264,x261),f40(x263,x264,x262))
% 4.53/4.63 [27]~E(x271,x272)+E(f24(x271),f24(x272))
% 4.53/4.63 [28]~E(x281,x282)+E(f9(x281,x283,x284),f9(x282,x283,x284))
% 4.53/4.63 [29]~E(x291,x292)+E(f9(x293,x291,x294),f9(x293,x292,x294))
% 4.53/4.63 [30]~E(x301,x302)+E(f9(x303,x304,x301),f9(x303,x304,x302))
% 4.53/4.63 [31]~E(x311,x312)+E(f13(x311,x313,x314),f13(x312,x313,x314))
% 4.53/4.63 [32]~E(x321,x322)+E(f13(x323,x321,x324),f13(x323,x322,x324))
% 4.53/4.63 [33]~E(x331,x332)+E(f13(x333,x334,x331),f13(x333,x334,x332))
% 4.53/4.63 [34]~E(x341,x342)+E(f43(x341),f43(x342))
% 4.53/4.63 [35]~E(x351,x352)+E(f10(x351,x353,x354),f10(x352,x353,x354))
% 4.53/4.63 [36]~E(x361,x362)+E(f10(x363,x361,x364),f10(x363,x362,x364))
% 4.53/4.63 [37]~E(x371,x372)+E(f10(x373,x374,x371),f10(x373,x374,x372))
% 4.53/4.63 [38]~E(x381,x382)+E(f6(x381,x383),f6(x382,x383))
% 4.53/4.63 [39]~E(x391,x392)+E(f6(x393,x391),f6(x393,x392))
% 4.53/4.63 [40]~E(x401,x402)+E(f16(x401,x403),f16(x402,x403))
% 4.53/4.63 [41]~E(x411,x412)+E(f16(x413,x411),f16(x413,x412))
% 4.53/4.63 [42]~E(x421,x422)+E(f38(x421),f38(x422))
% 4.53/4.63 [43]~E(x431,x432)+E(f41(x431,x433,x434,x435),f41(x432,x433,x434,x435))
% 4.53/4.63 [44]~E(x441,x442)+E(f41(x443,x441,x444,x445),f41(x443,x442,x444,x445))
% 4.53/4.63 [45]~E(x451,x452)+E(f41(x453,x454,x451,x455),f41(x453,x454,x452,x455))
% 4.53/4.63 [46]~E(x461,x462)+E(f41(x463,x464,x465,x461),f41(x463,x464,x465,x462))
% 4.53/4.63 [47]~E(x471,x472)+E(f28(x471),f28(x472))
% 4.53/4.63 [48]~E(x481,x482)+E(f7(x481,x483),f7(x482,x483))
% 4.53/4.63 [49]~E(x491,x492)+E(f7(x493,x491),f7(x493,x492))
% 4.53/4.63 [50]~E(x501,x502)+E(f35(x501),f35(x502))
% 4.53/4.63 [51]~E(x511,x512)+E(f66(x511,x513,x514),f66(x512,x513,x514))
% 4.53/4.63 [52]~E(x521,x522)+E(f66(x523,x521,x524),f66(x523,x522,x524))
% 4.53/4.63 [53]~E(x531,x532)+E(f66(x533,x534,x531),f66(x533,x534,x532))
% 4.53/4.63 [54]~E(x541,x542)+E(f26(x541),f26(x542))
% 4.53/4.63 [55]~E(x551,x552)+E(f11(x551),f11(x552))
% 4.53/4.63 [56]~E(x561,x562)+E(f23(x561),f23(x562))
% 4.53/4.63 [57]~E(x571,x572)+E(f37(x571),f37(x572))
% 4.53/4.63 [58]~E(x581,x582)+E(f33(x581,x583),f33(x582,x583))
% 4.53/4.63 [59]~E(x591,x592)+E(f33(x593,x591),f33(x593,x592))
% 4.53/4.63 [60]~E(x601,x602)+E(f25(x601),f25(x602))
% 4.53/4.63 [61]~E(x611,x612)+E(f64(x611,x613,x614),f64(x612,x613,x614))
% 4.53/4.63 [62]~E(x621,x622)+E(f64(x623,x621,x624),f64(x623,x622,x624))
% 4.53/4.63 [63]~E(x631,x632)+E(f64(x633,x634,x631),f64(x633,x634,x632))
% 4.53/4.63 [64]~E(x641,x642)+E(f65(x641,x643,x644),f65(x642,x643,x644))
% 4.53/4.63 [65]~E(x651,x652)+E(f65(x653,x651,x654),f65(x653,x652,x654))
% 4.53/4.63 [66]~E(x661,x662)+E(f65(x663,x664,x661),f65(x663,x664,x662))
% 4.53/4.63 [67]~E(x671,x672)+E(f63(x671,x673),f63(x672,x673))
% 4.53/4.63 [68]~E(x681,x682)+E(f63(x683,x681),f63(x683,x682))
% 4.53/4.63 [69]~E(x691,x692)+E(f17(x691,x693),f17(x692,x693))
% 4.53/4.63 [70]~E(x701,x702)+E(f17(x703,x701),f17(x703,x702))
% 4.53/4.63 [71]~E(x711,x712)+E(f12(x711,x713,x714),f12(x712,x713,x714))
% 4.53/4.63 [72]~E(x721,x722)+E(f12(x723,x721,x724),f12(x723,x722,x724))
% 4.53/4.63 [73]~E(x731,x732)+E(f12(x733,x734,x731),f12(x733,x734,x732))
% 4.53/4.63 [74]~E(x741,x742)+E(f32(x741,x743),f32(x742,x743))
% 4.53/4.63 [75]~E(x751,x752)+E(f32(x753,x751),f32(x753,x752))
% 4.53/4.63 [76]~E(x761,x762)+E(f60(x761,x763),f60(x762,x763))
% 4.53/4.63 [77]~E(x771,x772)+E(f60(x773,x771),f60(x773,x772))
% 4.53/4.63 [78]~E(x781,x782)+E(f61(x781,x783,x784),f61(x782,x783,x784))
% 4.53/4.63 [79]~E(x791,x792)+E(f61(x793,x791,x794),f61(x793,x792,x794))
% 4.53/4.63 [80]~E(x801,x802)+E(f61(x803,x804,x801),f61(x803,x804,x802))
% 4.53/4.63 [81]~E(x811,x812)+E(f62(x811,x813,x814,x815),f62(x812,x813,x814,x815))
% 4.53/4.63 [82]~E(x821,x822)+E(f62(x823,x821,x824,x825),f62(x823,x822,x824,x825))
% 4.53/4.63 [83]~E(x831,x832)+E(f62(x833,x834,x831,x835),f62(x833,x834,x832,x835))
% 4.53/4.63 [84]~E(x841,x842)+E(f62(x843,x844,x845,x841),f62(x843,x844,x845,x842))
% 4.53/4.63 [85]~P1(x851)+P1(x852)+~E(x851,x852)
% 4.53/4.63 [86]~P8(x861)+P8(x862)+~E(x861,x862)
% 4.53/4.63 [87]~P3(x871)+P3(x872)+~E(x871,x872)
% 4.53/4.63 [88]~P9(x881)+P9(x882)+~E(x881,x882)
% 4.53/4.63 [89]P5(x892,x893,x894)+~E(x891,x892)+~P5(x891,x893,x894)
% 4.53/4.63 [90]P5(x903,x902,x904)+~E(x901,x902)+~P5(x903,x901,x904)
% 4.53/4.63 [91]P5(x913,x914,x912)+~E(x911,x912)+~P5(x913,x914,x911)
% 4.53/4.63 [92]~P11(x921)+P11(x922)+~E(x921,x922)
% 4.53/4.63 [93]P7(x932,x933,x934)+~E(x931,x932)+~P7(x931,x933,x934)
% 4.53/4.63 [94]P7(x943,x942,x944)+~E(x941,x942)+~P7(x943,x941,x944)
% 4.53/4.63 [95]P7(x953,x954,x952)+~E(x951,x952)+~P7(x953,x954,x951)
% 4.53/4.63 [96]~P10(x961)+P10(x962)+~E(x961,x962)
% 4.53/4.63 [97]~P15(x971)+P15(x972)+~E(x971,x972)
% 4.53/4.63 [98]~P2(x981)+P2(x982)+~E(x981,x982)
% 4.53/4.63 [99]~P12(x991)+P12(x992)+~E(x991,x992)
% 4.53/4.63 [100]~P13(x1001)+P13(x1002)+~E(x1001,x1002)
% 4.53/4.63 [101]~P14(x1011)+P14(x1012)+~E(x1011,x1012)
% 4.53/4.63 [102]P6(x1022,x1023,x1024)+~E(x1021,x1022)+~P6(x1021,x1023,x1024)
% 4.53/4.63 [103]P6(x1033,x1032,x1034)+~E(x1031,x1032)+~P6(x1033,x1031,x1034)
% 4.53/4.63 [104]P6(x1043,x1044,x1042)+~E(x1041,x1042)+~P6(x1043,x1044,x1041)
% 4.53/4.63 [105]P4(x1052,x1053,x1054,x1055)+~E(x1051,x1052)+~P4(x1051,x1053,x1054,x1055)
% 4.53/4.63 [106]P4(x1063,x1062,x1064,x1065)+~E(x1061,x1062)+~P4(x1063,x1061,x1064,x1065)
% 4.53/4.63 [107]P4(x1073,x1074,x1072,x1075)+~E(x1071,x1072)+~P4(x1073,x1074,x1071,x1075)
% 4.53/4.63 [108]P4(x1083,x1084,x1085,x1082)+~E(x1081,x1082)+~P4(x1083,x1084,x1085,x1081)
% 4.53/4.63
% 4.53/4.63 %-------------------------------------------
% 4.69/4.64 cnf(732,plain,
% 4.69/4.64 (E(f35(f46(a44,a1)),f22(f35(f46(a44,a1))))),
% 4.69/4.64 inference(scs_inference,[],[155,2])).
% 4.69/4.64 cnf(733,plain,
% 4.69/4.64 (~P6(a20,a48,x7331)),
% 4.69/4.64 inference(scs_inference,[],[305,155,2,432])).
% 4.69/4.64 cnf(735,plain,
% 4.69/4.64 (~P5(f39(a29,a53),f4(a19,a47),a44)),
% 4.69/4.64 inference(scs_inference,[],[305,377,155,2,432,453])).
% 4.69/4.64 cnf(737,plain,
% 4.69/4.64 (~P5(f28(x7371),f4(x7372,f3(a2)),a44)),
% 4.69/4.64 inference(scs_inference,[],[305,377,155,378,2,432,453,452])).
% 4.69/4.64 cnf(739,plain,
% 4.69/4.64 (~E(a34,f38(x7391))),
% 4.69/4.64 inference(scs_inference,[],[305,377,155,350,378,2,432,453,452,6])).
% 4.69/4.64 cnf(741,plain,
% 4.69/4.64 (~P5(x7411,f15(f35(f46(a44,a1))),a44)),
% 4.69/4.64 inference(scs_inference,[],[305,377,382,155,350,378,2,432,453,452,6,459])).
% 4.69/4.64 cnf(743,plain,
% 4.69/4.64 (~P5(x7431,f35(f46(x7432,a1)),x7433)),
% 4.69/4.64 inference(scs_inference,[],[305,377,382,155,350,379,378,2,432,453,452,6,459,446])).
% 4.69/4.64 cnf(745,plain,
% 4.69/4.64 (P5(x7451,f40(x7451,x7452,x7453),x7454)),
% 4.69/4.64 inference(scs_inference,[],[305,377,382,155,221,350,379,378,2,432,453,452,6,459,446,441])).
% 4.69/4.64 cnf(748,plain,
% 4.69/4.64 (P5(x7481,f18(f9(x7482,f13(x7481,x7483,x7484),x7484),x7484),x7484)),
% 4.69/4.64 inference(rename_variables,[],[286])).
% 4.69/4.64 cnf(750,plain,
% 4.69/4.64 (P5(a57,f22(f4(a19,a47)),a44)),
% 4.69/4.64 inference(scs_inference,[],[305,377,382,155,301,221,286,350,379,378,2,432,453,452,6,459,446,441,694,691])).
% 4.69/4.64 cnf(752,plain,
% 4.69/4.64 (~E(f41(x7521,f13(x7522,f35(f46(x7523,a1)),x7524),x7523,x7525),f35(f46(x7525,a1)))),
% 4.69/4.64 inference(scs_inference,[],[305,377,382,155,301,359,221,286,350,379,378,2,432,453,452,6,459,446,441,694,691,619])).
% 4.69/4.64 cnf(753,plain,
% 4.69/4.64 (~E(f13(x7531,x7532,x7533),x7532)),
% 4.69/4.64 inference(rename_variables,[],[359])).
% 4.69/4.64 cnf(758,plain,
% 4.69/4.64 (~P5(f28(x7581),f22(f4(x7582,f3(a2))),a44)),
% 4.69/4.64 inference(rename_variables,[],[378])).
% 4.69/4.64 cnf(760,plain,
% 4.69/4.64 (P5(f30(f24(a48),f30(f24(a50),f28(a52))),f11(a47),a44)),
% 4.69/4.64 inference(scs_inference,[],[305,377,382,155,245,301,359,221,286,350,379,378,2,432,453,452,6,459,446,441,694,691,619,603,602,589])).
% 4.69/4.64 cnf(762,plain,
% 4.69/4.64 (P5(x7621,f15(f40(x7621,x7622,a44)),a44)),
% 4.69/4.64 inference(scs_inference,[],[305,377,382,155,245,301,359,163,221,286,350,379,378,2,432,453,452,6,459,446,441,694,691,619,603,602,589,587])).
% 4.69/4.64 cnf(763,plain,
% 4.69/4.64 (P7(x7631,f15(x7631),f46(a44,a1))),
% 4.69/4.64 inference(rename_variables,[],[163])).
% 4.69/4.64 cnf(765,plain,
% 4.69/4.64 (~P7(f13(x7651,f35(f46(x7652,a1)),x7653),f35(f46(x7652,a1)),f46(x7652,a1))),
% 4.69/4.64 inference(scs_inference,[],[305,377,382,155,245,301,359,753,163,221,286,350,379,378,2,432,453,452,6,459,446,441,694,691,619,603,602,589,587,524])).
% 4.69/4.64 cnf(766,plain,
% 4.69/4.64 (~E(f13(x7661,x7662,x7663),x7662)),
% 4.69/4.64 inference(rename_variables,[],[359])).
% 4.69/4.64 cnf(768,plain,
% 4.69/4.64 (P5(x7681,f11(f9(x7682,f13(f7(x7683,x7681),x7684,a2),a2)),a44)),
% 4.69/4.64 inference(scs_inference,[],[305,377,382,155,245,301,359,753,163,221,286,748,350,379,378,2,432,453,452,6,459,446,441,694,691,619,603,602,589,587,524,514])).
% 4.69/4.64 cnf(769,plain,
% 4.69/4.64 (P5(x7691,f18(f9(x7692,f13(x7691,x7693,x7694),x7694),x7694),x7694)),
% 4.69/4.64 inference(rename_variables,[],[286])).
% 4.69/4.64 cnf(771,plain,
% 4.69/4.64 (~P5(f30(f39(a29,a53),x7711),f15(f4(a19,a47)),a44)),
% 4.69/4.64 inference(scs_inference,[],[305,377,382,155,245,301,359,753,163,221,286,748,350,379,378,2,432,453,452,6,459,446,441,694,691,619,603,602,589,587,524,514,493])).
% 4.69/4.64 cnf(773,plain,
% 4.69/4.64 (~P5(f30(x7731,f39(a29,a53)),f15(f4(a19,a47)),a44)),
% 4.69/4.64 inference(scs_inference,[],[305,377,382,155,245,301,359,753,163,221,286,748,350,379,378,2,432,453,452,6,459,446,441,694,691,619,603,602,589,587,524,514,493,492])).
% 4.69/4.64 cnf(781,plain,
% 4.69/4.64 (~P5(f30(x7811,f28(x7812)),f11(f3(a2)),a44)),
% 4.69/4.64 inference(scs_inference,[],[305,377,382,155,245,301,359,753,163,221,286,748,369,350,379,378,758,2,432,453,452,6,459,446,441,694,691,619,603,602,589,587,524,514,493,492,491,490,488,487])).
% 4.69/4.64 cnf(784,plain,
% 4.69/4.64 (~P5(x7841,f22(f35(f46(a44,a1))),a44)),
% 4.69/4.64 inference(rename_variables,[],[382])).
% 4.69/4.64 cnf(786,plain,
% 4.69/4.64 (~E(f9(f13(x7861,f3(x7862),x7863),x7864,x7862),x7864)),
% 4.69/4.64 inference(scs_inference,[],[305,377,382,155,245,301,359,753,766,163,221,286,748,369,350,379,378,758,2,432,453,452,6,459,446,441,694,691,619,603,602,589,587,524,514,493,492,491,490,488,487,463,436])).
% 4.69/4.64 cnf(787,plain,
% 4.69/4.64 (~E(f13(x7871,x7872,x7873),x7872)),
% 4.69/4.64 inference(rename_variables,[],[359])).
% 4.69/4.64 cnf(789,plain,
% 4.69/4.64 (~E(f9(x7891,f13(x7892,f3(x7893),x7894),x7893),x7891)),
% 4.69/4.64 inference(scs_inference,[],[305,377,382,155,245,301,359,753,766,787,163,221,286,748,369,350,379,378,758,2,432,453,452,6,459,446,441,694,691,619,603,602,589,587,524,514,493,492,491,490,488,487,463,436,435])).
% 4.69/4.64 cnf(790,plain,
% 4.69/4.64 (~E(f13(x7901,x7902,x7903),x7902)),
% 4.69/4.64 inference(rename_variables,[],[359])).
% 4.69/4.64 cnf(793,plain,
% 4.69/4.64 (P5(f23(x7931),f21(x7932),a44)),
% 4.69/4.64 inference(rename_variables,[],[150])).
% 4.69/4.64 cnf(796,plain,
% 4.69/4.64 (P7(x7961,f15(x7961),f46(a44,a1))),
% 4.69/4.64 inference(rename_variables,[],[163])).
% 4.69/4.64 cnf(799,plain,
% 4.69/4.64 (P7(x7991,f15(x7991),f46(a44,a1))),
% 4.69/4.64 inference(rename_variables,[],[163])).
% 4.69/4.64 cnf(802,plain,
% 4.69/4.64 (P7(x8021,f15(x8021),f46(a44,a1))),
% 4.69/4.64 inference(rename_variables,[],[163])).
% 4.69/4.64 cnf(807,plain,
% 4.69/4.64 (~E(f13(x8071,x8072,x8073),x8072)),
% 4.69/4.64 inference(rename_variables,[],[359])).
% 4.69/4.64 cnf(810,plain,
% 4.69/4.64 (~E(f13(x8101,x8102,x8103),x8102)),
% 4.69/4.64 inference(rename_variables,[],[359])).
% 4.69/4.64 cnf(813,plain,
% 4.69/4.64 (~E(f13(x8131,x8132,x8133),x8132)),
% 4.69/4.64 inference(rename_variables,[],[359])).
% 4.69/4.64 cnf(816,plain,
% 4.69/4.64 (P5(f23(x8161),f21(x8162),a44)),
% 4.69/4.64 inference(rename_variables,[],[150])).
% 4.69/4.64 cnf(821,plain,
% 4.69/4.64 (P5(x8211,f18(f9(x8212,f13(x8211,x8213,x8214),x8214),x8214),x8214)),
% 4.69/4.64 inference(rename_variables,[],[286])).
% 4.69/4.64 cnf(826,plain,
% 4.69/4.64 (~E(f13(x8261,x8262,x8263),x8262)),
% 4.69/4.64 inference(rename_variables,[],[359])).
% 4.69/4.64 cnf(832,plain,
% 4.69/4.64 (~E(f13(x8321,x8322,x8323),x8322)),
% 4.69/4.64 inference(rename_variables,[],[359])).
% 4.69/4.64 cnf(836,plain,
% 4.69/4.64 (E(f14(f14(x8361)),x8361)),
% 4.69/4.64 inference(rename_variables,[],[125])).
% 4.69/4.64 cnf(838,plain,
% 4.69/4.64 (P7(x8381,f15(x8381),f46(a44,a1))),
% 4.69/4.64 inference(rename_variables,[],[163])).
% 4.69/4.64 cnf(840,plain,
% 4.69/4.64 (P7(x8401,x8401,f46(x8402,a1))),
% 4.69/4.64 inference(rename_variables,[],[159])).
% 4.69/4.64 cnf(844,plain,
% 4.69/4.64 (~P5(x8441,f35(f46(x8442,a1)),x8442)),
% 4.69/4.64 inference(rename_variables,[],[376])).
% 4.69/4.64 cnf(847,plain,
% 4.69/4.64 (~E(f13(x8471,x8472,x8473),x8472)),
% 4.69/4.64 inference(rename_variables,[],[359])).
% 4.69/4.64 cnf(855,plain,
% 4.69/4.64 (P5(x8551,f18(f9(x8552,f13(x8551,x8553,x8554),x8554),x8554),x8554)),
% 4.69/4.64 inference(rename_variables,[],[286])).
% 4.69/4.64 cnf(856,plain,
% 4.69/4.64 (P5(f39(x8561,x8562),f41(x8561,f37(f46(x8563,a1)),x8563,x8564),x8564)),
% 4.69/4.64 inference(rename_variables,[],[284])).
% 4.69/4.64 cnf(860,plain,
% 4.69/4.64 (~P7(f40(a57,f4(a19,a47),a44),f22(f35(f46(a44,a1))),f46(a44,a1))),
% 4.69/4.64 inference(scs_inference,[],[143,142,305,353,140,377,382,784,155,265,245,301,159,359,753,766,787,790,807,810,813,826,832,163,763,796,799,802,838,198,150,793,169,376,125,221,176,286,748,769,821,369,350,379,284,378,758,211,273,2,432,453,452,6,459,446,441,694,691,619,603,602,589,587,524,514,493,492,491,490,488,487,463,436,435,684,616,615,596,559,440,439,397,643,595,528,607,479,478,561,102,97,94,93,91,90,89,3,542,532,608,714,550,549])).
% 4.69/4.64 cnf(861,plain,
% 4.69/4.64 (~P5(x8611,f22(f35(f46(a44,a1))),a44)),
% 4.69/4.64 inference(rename_variables,[],[382])).
% 4.69/4.64 cnf(864,plain,
% 4.69/4.64 (P5(f39(a34,x8641),a31,a45)),
% 4.69/4.64 inference(rename_variables,[],[157])).
% 4.69/4.64 cnf(866,plain,
% 4.69/4.64 (~P5(f7(a19,f39(a29,a53)),f18(a47,a2),a2)),
% 4.69/4.64 inference(scs_inference,[],[143,142,305,353,140,377,382,784,155,265,245,301,298,159,359,753,766,787,790,807,810,813,826,832,157,163,763,796,799,802,838,198,150,793,169,376,125,221,176,286,748,769,821,369,350,379,284,378,758,211,273,2,432,453,452,6,459,446,441,694,691,619,603,602,589,587,524,514,493,492,491,490,488,487,463,436,435,684,616,615,596,559,440,439,397,643,595,528,607,479,478,561,102,97,94,93,91,90,89,3,542,532,608,714,550,549,543,567])).
% 4.69/4.64 cnf(869,plain,
% 4.69/4.64 (P5(x8691,f18(f9(x8692,f13(x8691,x8693,x8694),x8694),x8694),x8694)),
% 4.69/4.64 inference(rename_variables,[],[286])).
% 4.69/4.64 cnf(870,plain,
% 4.69/4.64 (~E(f13(x8701,x8702,x8703),x8702)),
% 4.69/4.64 inference(rename_variables,[],[359])).
% 4.69/4.64 cnf(874,plain,
% 4.69/4.64 (P5(f13(f8(a19,x8741,f23(x8742)),a47,a2),a36,f43(a2))),
% 4.69/4.64 inference(scs_inference,[],[143,142,305,353,140,377,382,784,155,265,245,301,298,159,359,753,766,787,790,807,810,813,826,832,847,157,163,763,796,799,802,838,198,150,793,816,169,376,125,221,176,286,748,769,821,855,369,350,379,284,378,758,211,273,2,432,453,452,6,459,446,441,694,691,619,603,602,589,587,524,514,493,492,491,490,488,487,463,436,435,684,616,615,596,559,440,439,397,643,595,528,607,479,478,561,102,97,94,93,91,90,89,3,542,532,608,714,550,549,543,567,707,496,656])).
% 4.69/4.64 cnf(875,plain,
% 4.69/4.64 (P5(f23(x8751),f21(x8752),a44)),
% 4.69/4.64 inference(rename_variables,[],[150])).
% 4.69/4.64 cnf(879,plain,
% 4.69/4.64 (P5(f27(x8791,f23(x8792)),f21(f40(f39(a29,x8791),x8793,a44)),a44)),
% 4.69/4.64 inference(scs_inference,[],[143,142,305,353,140,377,382,784,155,265,245,301,298,192,159,840,359,753,766,787,790,807,810,813,826,832,847,157,163,763,796,799,802,838,198,150,793,816,875,169,376,125,221,176,286,748,769,821,855,369,350,379,284,378,758,211,273,2,432,453,452,6,459,446,441,694,691,619,603,602,589,587,524,514,493,492,491,490,488,487,463,436,435,684,616,615,596,559,440,439,397,643,595,528,607,479,478,561,102,97,94,93,91,90,89,3,542,532,608,714,550,549,543,567,707,496,656,678,558])).
% 4.69/4.64 cnf(880,plain,
% 4.69/4.64 (P5(x8801,f40(x8801,x8802,x8803),x8803)),
% 4.69/4.64 inference(rename_variables,[],[192])).
% 4.69/4.64 cnf(881,plain,
% 4.69/4.64 (P5(f23(x8811),f21(x8812),a44)),
% 4.69/4.64 inference(rename_variables,[],[150])).
% 4.69/4.64 cnf(887,plain,
% 4.69/4.64 (~E(f13(x8871,x8872,x8873),x8872)),
% 4.69/4.64 inference(rename_variables,[],[359])).
% 4.69/4.64 cnf(890,plain,
% 4.69/4.64 (~E(f13(x8901,x8902,x8903),x8902)),
% 4.69/4.64 inference(rename_variables,[],[359])).
% 4.69/4.64 cnf(895,plain,
% 4.69/4.64 (~P5(x8951,f35(f46(x8952,a1)),x8952)),
% 4.69/4.64 inference(rename_variables,[],[376])).
% 4.69/4.64 cnf(897,plain,
% 4.69/4.64 (~P5(f26(f28(x8971)),f21(f22(f35(f46(a44,a1)))),a44)),
% 4.69/4.64 inference(scs_inference,[],[143,142,305,353,109,140,304,377,382,784,861,155,265,245,301,298,192,159,840,359,753,766,787,790,807,810,813,826,832,847,870,887,157,163,763,796,799,802,838,198,150,793,816,875,169,376,844,125,221,176,286,748,769,821,855,869,369,350,379,284,378,758,211,273,2,432,453,452,6,459,446,441,694,691,619,603,602,589,587,524,514,493,492,491,490,488,487,463,436,435,684,616,615,596,559,440,439,397,643,595,528,607,479,478,561,102,97,94,93,91,90,89,3,542,532,608,714,550,549,543,567,707,496,656,678,558,530,443,442,605,568,515])).
% 4.69/4.64 cnf(898,plain,
% 4.69/4.64 (~P5(x8981,f22(f35(f46(a44,a1))),a44)),
% 4.69/4.64 inference(rename_variables,[],[382])).
% 4.69/4.64 cnf(901,plain,
% 4.69/4.64 (~P5(x9011,f35(f46(x9012,a1)),x9012)),
% 4.69/4.64 inference(rename_variables,[],[376])).
% 4.69/4.64 cnf(903,plain,
% 4.69/4.64 (~P5(f30(f28(x9031),x9032),f21(f22(f35(f46(a44,a1)))),a44)),
% 4.69/4.64 inference(scs_inference,[],[143,142,305,353,109,140,304,377,382,784,861,898,155,265,245,301,298,192,159,840,359,753,766,787,790,807,810,813,826,832,847,870,887,157,163,763,796,799,802,838,198,150,793,816,875,169,376,844,895,125,221,176,286,748,769,821,855,869,369,350,379,284,378,758,211,273,2,432,453,452,6,459,446,441,694,691,619,603,602,589,587,524,514,493,492,491,490,488,487,463,436,435,684,616,615,596,559,440,439,397,643,595,528,607,479,478,561,102,97,94,93,91,90,89,3,542,532,608,714,550,549,543,567,707,496,656,678,558,530,443,442,605,568,515,554,547])).
% 4.69/4.64 cnf(904,plain,
% 4.69/4.64 (~P5(x9041,f22(f35(f46(a44,a1))),a44)),
% 4.69/4.64 inference(rename_variables,[],[382])).
% 4.69/4.64 cnf(906,plain,
% 4.69/4.64 (~P5(f30(x9061,f28(x9062)),f21(f22(f35(f46(a44,a1)))),a44)),
% 4.69/4.64 inference(scs_inference,[],[143,142,305,353,109,140,304,377,382,784,861,898,904,155,265,245,301,298,192,159,840,359,753,766,787,790,807,810,813,826,832,847,870,887,157,163,763,796,799,802,838,198,150,793,816,875,169,376,844,895,125,221,176,286,748,769,821,855,869,369,350,379,284,378,758,211,273,2,432,453,452,6,459,446,441,694,691,619,603,602,589,587,524,514,493,492,491,490,488,487,463,436,435,684,616,615,596,559,440,439,397,643,595,528,607,479,478,561,102,97,94,93,91,90,89,3,542,532,608,714,550,549,543,567,707,496,656,678,558,530,443,442,605,568,515,554,547,546])).
% 4.69/4.64 cnf(907,plain,
% 4.69/4.64 (~P5(x9071,f22(f35(f46(a44,a1))),a44)),
% 4.69/4.64 inference(rename_variables,[],[382])).
% 4.69/4.64 cnf(910,plain,
% 4.69/4.64 (~P5(x9101,f22(f35(f46(a44,a1))),a44)),
% 4.69/4.64 inference(rename_variables,[],[382])).
% 4.69/4.64 cnf(912,plain,
% 4.69/4.64 (~P5(f39(a29,a53),f21(f15(f35(f46(a44,a1)))),a44)),
% 4.69/4.64 inference(scs_inference,[],[143,142,305,353,109,140,304,377,382,784,861,898,904,907,155,265,245,301,298,192,159,840,359,753,766,787,790,807,810,813,826,832,847,870,887,157,163,763,796,799,802,838,198,150,793,816,875,169,376,844,895,125,221,176,177,286,748,769,821,855,869,369,350,379,284,378,758,211,273,2,432,453,452,6,459,446,441,694,691,619,603,602,589,587,524,514,493,492,491,490,488,487,463,436,435,684,616,615,596,559,440,439,397,643,595,528,607,479,478,561,102,97,94,93,91,90,89,3,542,532,608,714,550,549,543,567,707,496,656,678,558,530,443,442,605,568,515,554,547,546,545,657])).
% 4.69/4.64 cnf(913,plain,
% 4.69/4.64 (P7(f35(f46(x9131,a1)),x9132,f46(x9131,a1))),
% 4.69/4.64 inference(rename_variables,[],[177])).
% 4.69/4.64 cnf(951,plain,
% 4.69/4.64 (P14(f46(x9511,a1))),
% 4.69/4.64 inference(scs_inference,[],[143,142,305,353,109,111,112,113,114,116,120,121,140,304,377,382,784,861,898,904,907,155,265,245,301,298,192,159,840,359,753,766,787,790,807,810,813,826,832,847,870,887,157,864,163,763,796,799,802,838,198,150,793,816,875,169,376,844,895,125,221,176,177,286,748,769,821,855,869,369,350,380,379,284,378,758,211,273,2,432,453,452,6,459,446,441,694,691,619,603,602,589,587,524,514,493,492,491,490,488,487,463,436,435,684,616,615,596,559,440,439,397,643,595,528,607,479,478,561,102,97,94,93,91,90,89,3,542,532,608,714,550,549,543,567,707,496,656,678,558,530,443,442,605,568,515,554,547,546,545,657,717,418,417,644,631,611,588,525,467,466,465,464,451,450,448,423,422,419,405])).
% 4.69/4.64 cnf(961,plain,
% 4.69/4.64 (P9(f46(x9611,a1))),
% 4.69/4.64 inference(scs_inference,[],[143,142,305,353,109,111,112,113,114,116,118,120,121,140,304,377,382,784,861,898,904,907,155,265,245,301,298,192,159,840,359,753,766,787,790,807,810,813,826,832,847,870,887,157,864,163,763,796,799,802,838,198,150,793,816,875,169,376,844,895,125,221,176,177,286,748,769,821,855,869,369,350,380,379,284,378,758,211,273,2,432,453,452,6,459,446,441,694,691,619,603,602,589,587,524,514,493,492,491,490,488,487,463,436,435,684,616,615,596,559,440,439,397,643,595,528,607,479,478,561,102,97,94,93,91,90,89,3,542,532,608,714,550,549,543,567,707,496,656,678,558,530,443,442,605,568,515,554,547,546,545,657,717,418,417,644,631,611,588,525,467,466,465,464,451,450,448,423,422,419,405,404,403,402,401,400])).
% 4.69/4.64 cnf(963,plain,
% 4.69/4.64 (P8(f46(x9631,a1))),
% 4.69/4.64 inference(scs_inference,[],[143,142,305,353,109,110,111,112,113,114,116,118,120,121,140,304,377,382,784,861,898,904,907,155,265,245,301,298,192,159,840,359,753,766,787,790,807,810,813,826,832,847,870,887,157,864,163,763,796,799,802,838,198,150,793,816,875,169,376,844,895,125,221,176,177,286,748,769,821,855,869,369,350,380,379,284,378,758,211,273,2,432,453,452,6,459,446,441,694,691,619,603,602,589,587,524,514,493,492,491,490,488,487,463,436,435,684,616,615,596,559,440,439,397,643,595,528,607,479,478,561,102,97,94,93,91,90,89,3,542,532,608,714,550,549,543,567,707,496,656,678,558,530,443,442,605,568,515,554,547,546,545,657,717,418,417,644,631,611,588,525,467,466,465,464,451,450,448,423,422,419,405,404,403,402,401,400,399])).
% 4.69/4.64 cnf(1029,plain,
% 4.69/4.64 (E(f46(f22(f35(f46(a44,a1))),x10291),f46(f35(f46(a44,a1)),x10291))),
% 4.69/4.64 inference(scs_inference,[],[143,142,305,353,109,110,111,112,113,114,116,118,120,121,140,304,377,382,784,861,898,904,907,155,265,245,301,298,192,159,840,359,753,766,787,790,807,810,813,826,832,847,870,887,157,864,163,763,796,799,802,838,198,150,793,816,875,169,376,844,895,125,221,176,177,286,748,769,821,855,869,369,350,380,379,284,378,758,211,273,2,432,453,452,6,459,446,441,694,691,619,603,602,589,587,524,514,493,492,491,490,488,487,463,436,435,684,616,615,596,559,440,439,397,643,595,528,607,479,478,561,102,97,94,93,91,90,89,3,542,532,608,714,550,549,543,567,707,496,656,678,558,530,443,442,605,568,515,554,547,546,545,657,717,418,417,644,631,611,588,525,467,466,465,464,451,450,448,423,422,419,405,404,403,402,401,400,399,398,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22])).
% 4.69/4.64 cnf(1052,plain,
% 4.69/4.64 (~P5(f39(a29,x10521),f41(a29,f35(f46(a45,a1)),a45,a44),a44)),
% 4.69/4.65 inference(scs_inference,[],[143,142,305,353,109,110,111,112,113,114,116,118,120,121,140,304,377,382,784,861,898,904,907,155,265,245,301,298,192,880,159,840,359,753,766,787,790,807,810,813,826,832,847,870,887,157,864,163,763,796,799,802,838,198,150,793,816,875,169,376,844,895,901,125,836,221,176,177,286,748,769,821,855,869,369,350,380,379,284,378,758,211,273,2,432,453,452,6,459,446,441,694,691,619,603,602,589,587,524,514,493,492,491,490,488,487,463,436,435,684,616,615,596,559,440,439,397,643,595,528,607,479,478,561,102,97,94,93,91,90,89,3,542,532,608,714,550,549,543,567,707,496,656,678,558,530,443,442,605,568,515,554,547,546,545,657,717,418,417,644,631,611,588,525,467,466,465,464,451,450,448,423,422,419,405,404,403,402,401,400,399,398,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,5,4,701,676,673])).
% 4.69/4.65 cnf(1069,plain,
% 4.69/4.65 (P5(f27(a53,f30(f28(a56),f28(a56))),f22(f40(x10691,f40(a57,f4(a19,a47),a44),a44)),a44)),
% 4.69/4.65 inference(scs_inference,[],[143,142,305,353,109,110,111,112,113,114,116,118,120,121,140,304,377,382,784,861,898,904,907,155,265,245,301,298,192,880,159,840,359,753,766,787,790,807,810,813,826,832,847,870,887,157,864,163,763,796,799,802,838,198,150,793,816,875,169,376,844,895,901,125,836,221,176,177,286,748,769,821,855,869,369,350,380,379,284,378,758,211,273,2,432,453,452,6,459,446,441,694,691,619,603,602,589,587,524,514,493,492,491,490,488,487,463,436,435,684,616,615,596,559,440,439,397,643,595,528,607,479,478,561,102,97,94,93,91,90,89,3,542,532,608,714,550,549,543,567,707,496,656,678,558,530,443,442,605,568,515,554,547,546,545,657,717,418,417,644,631,611,588,525,467,466,465,464,451,450,448,423,422,419,405,404,403,402,401,400,399,398,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,5,4,701,676,673,672,671,636,635,633,617,591,590])).
% 4.69/4.65 cnf(1093,plain,
% 4.69/4.65 (~P5(f39(a29,a53),f15(f15(f4(a19,a47))),a44)),
% 4.69/4.65 inference(scs_inference,[],[143,142,305,353,109,110,111,112,113,114,116,118,120,121,140,304,377,382,784,861,898,904,907,155,265,245,301,298,192,880,159,840,359,753,766,787,790,807,810,813,826,832,847,870,887,157,864,163,763,796,799,802,838,198,150,793,816,875,169,376,844,895,901,125,836,221,176,177,286,748,769,821,855,869,369,350,380,379,284,378,758,211,273,2,432,453,452,6,459,446,441,694,691,619,603,602,589,587,524,514,493,492,491,490,488,487,463,436,435,684,616,615,596,559,440,439,397,643,595,528,607,479,478,561,102,97,94,93,91,90,89,3,542,532,608,714,550,549,543,567,707,496,656,678,558,530,443,442,605,568,515,554,547,546,545,657,717,418,417,644,631,611,588,525,467,466,465,464,451,450,448,423,422,419,405,404,403,402,401,400,399,398,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,5,4,701,676,673,672,671,636,635,633,617,591,590,578,557,556,534,477,476,475,474,473,472,471,470])).
% 4.69/4.65 cnf(1097,plain,
% 4.69/4.65 (~P5(f28(x10971),f21(f21(f22(f35(f46(a44,a1))))),a44)),
% 4.69/4.65 inference(scs_inference,[],[143,142,305,353,109,110,111,112,113,114,116,118,120,121,140,304,377,382,784,861,898,904,907,910,155,265,245,301,298,192,880,159,840,359,753,766,787,790,807,810,813,826,832,847,870,887,157,864,163,763,796,799,802,838,198,150,793,816,875,169,376,844,895,901,125,836,221,176,177,286,748,769,821,855,869,369,350,380,379,284,378,758,211,273,2,432,453,452,6,459,446,441,694,691,619,603,602,589,587,524,514,493,492,491,490,488,487,463,436,435,684,616,615,596,559,440,439,397,643,595,528,607,479,478,561,102,97,94,93,91,90,89,3,542,532,608,714,550,549,543,567,707,496,656,678,558,530,443,442,605,568,515,554,547,546,545,657,717,418,417,644,631,611,588,525,467,466,465,464,451,450,448,423,422,419,405,404,403,402,401,400,399,398,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,5,4,701,676,673,672,671,636,635,633,617,591,590,578,557,556,534,477,476,475,474,473,472,471,470,469,468])).
% 4.69/4.65 cnf(1163,plain,
% 4.69/4.65 (P7(x11631,f15(f10(x11632,f15(x11631),f46(a44,a1))),f46(a44,a1))),
% 4.69/4.65 inference(scs_inference,[],[143,142,305,353,109,110,111,112,113,114,116,118,120,121,140,304,377,382,784,861,898,904,907,910,155,265,245,301,298,192,880,159,840,359,753,766,787,790,807,810,813,826,832,847,870,887,157,864,163,763,796,799,802,838,162,198,150,793,816,875,169,376,844,895,901,125,836,221,176,177,286,748,769,821,855,869,369,175,350,380,379,284,378,758,211,273,2,432,453,452,6,459,446,441,694,691,619,603,602,589,587,524,514,493,492,491,490,488,487,463,436,435,684,616,615,596,559,440,439,397,643,595,528,607,479,478,561,102,97,94,93,91,90,89,3,542,532,608,714,550,549,543,567,707,496,656,678,558,530,443,442,605,568,515,554,547,546,545,657,717,418,417,644,631,611,588,525,467,466,465,464,451,450,448,423,422,419,405,404,403,402,401,400,399,398,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,5,4,701,676,673,672,671,636,635,633,617,591,590,578,557,556,534,477,476,475,474,473,472,471,470,469,468,445,444,425,424,421,420,416,415,414,413,412,411,410,409,408,407,406,395,394,393,392,391,522,503,502,501,653,637,594,535,517,516,513])).
% 4.69/4.65 cnf(1165,plain,
% 4.69/4.65 (P7(x11651,f22(f22(x11651)),f46(a44,a1))),
% 4.69/4.65 inference(scs_inference,[],[143,142,305,353,109,110,111,112,113,114,116,118,120,121,140,304,377,382,784,861,898,904,907,910,155,265,245,301,298,192,880,159,840,359,753,766,787,790,807,810,813,826,832,847,870,887,157,864,163,763,796,799,802,838,162,198,150,793,816,875,169,376,844,895,901,125,836,221,176,177,286,748,769,821,855,869,369,175,350,380,379,284,378,758,211,273,2,432,453,452,6,459,446,441,694,691,619,603,602,589,587,524,514,493,492,491,490,488,487,463,436,435,684,616,615,596,559,440,439,397,643,595,528,607,479,478,561,102,97,94,93,91,90,89,3,542,532,608,714,550,549,543,567,707,496,656,678,558,530,443,442,605,568,515,554,547,546,545,657,717,418,417,644,631,611,588,525,467,466,465,464,451,450,448,423,422,419,405,404,403,402,401,400,399,398,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,5,4,701,676,673,672,671,636,635,633,617,591,590,578,557,556,534,477,476,475,474,473,472,471,470,469,468,445,444,425,424,421,420,416,415,414,413,412,411,410,409,408,407,406,395,394,393,392,391,522,503,502,501,653,637,594,535,517,516,513,512])).
% 4.69/4.65 cnf(1167,plain,
% 4.69/4.65 (P7(x11671,f21(f21(x11671)),f46(a44,a1))),
% 4.69/4.65 inference(scs_inference,[],[143,142,305,353,109,110,111,112,113,114,116,118,120,121,140,304,377,382,784,861,898,904,907,910,155,265,245,301,298,192,880,159,840,359,753,766,787,790,807,810,813,826,832,847,870,887,157,864,163,763,796,799,802,838,162,161,198,150,793,816,875,169,376,844,895,901,125,836,221,176,177,286,748,769,821,855,869,369,175,350,380,379,284,378,758,211,273,2,432,453,452,6,459,446,441,694,691,619,603,602,589,587,524,514,493,492,491,490,488,487,463,436,435,684,616,615,596,559,440,439,397,643,595,528,607,479,478,561,102,97,94,93,91,90,89,3,542,532,608,714,550,549,543,567,707,496,656,678,558,530,443,442,605,568,515,554,547,546,545,657,717,418,417,644,631,611,588,525,467,466,465,464,451,450,448,423,422,419,405,404,403,402,401,400,399,398,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,5,4,701,676,673,672,671,636,635,633,617,591,590,578,557,556,534,477,476,475,474,473,472,471,470,469,468,445,444,425,424,421,420,416,415,414,413,412,411,410,409,408,407,406,395,394,393,392,391,522,503,502,501,653,637,594,535,517,516,513,512,511])).
% 4.69/4.65 cnf(1175,plain,
% 4.69/4.65 (~P5(f39(a29,a53),f21(f15(f4(a19,a47))),a44)),
% 4.69/4.65 inference(scs_inference,[],[143,142,305,353,109,110,111,112,113,114,116,118,120,121,140,304,377,382,784,861,898,904,907,910,155,265,245,301,298,192,880,159,840,359,753,766,787,790,807,810,813,826,832,847,870,887,157,864,163,763,796,799,802,838,162,161,198,150,793,816,875,169,376,844,895,901,125,836,221,164,176,177,913,286,748,769,821,855,869,369,175,350,380,379,284,378,758,252,211,273,2,432,453,452,6,459,446,441,694,691,619,603,602,589,587,524,514,493,492,491,490,488,487,463,436,435,684,616,615,596,559,440,439,397,643,595,528,607,479,478,561,102,97,94,93,91,90,89,3,542,532,608,714,550,549,543,567,707,496,656,678,558,530,443,442,605,568,515,554,547,546,545,657,717,418,417,644,631,611,588,525,467,466,465,464,451,450,448,423,422,419,405,404,403,402,401,400,399,398,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,5,4,701,676,673,672,671,636,635,633,617,591,590,578,557,556,534,477,476,475,474,473,472,471,470,469,468,445,444,425,424,421,420,416,415,414,413,412,411,410,409,408,407,406,395,394,393,392,391,522,503,502,501,653,637,594,535,517,516,513,512,511,509,508,507,506])).
% 4.69/4.65 cnf(1177,plain,
% 4.69/4.65 (P5(f30(f28(a56),f28(a56)),f22(f40(a57,f4(a19,a47),a44)),a44)),
% 4.69/4.65 inference(scs_inference,[],[143,142,305,353,109,110,111,112,113,114,116,118,120,121,140,304,377,382,784,861,898,904,907,910,155,265,245,301,298,192,880,159,840,359,753,766,787,790,807,810,813,826,832,847,870,887,157,864,163,763,796,799,802,838,162,161,198,150,793,816,875,169,376,844,895,901,125,836,221,164,176,177,913,286,748,769,821,855,869,369,175,350,380,379,284,378,758,252,211,273,2,432,453,452,6,459,446,441,694,691,619,603,602,589,587,524,514,493,492,491,490,488,487,463,436,435,684,616,615,596,559,440,439,397,643,595,528,607,479,478,561,102,97,94,93,91,90,89,3,542,532,608,714,550,549,543,567,707,496,656,678,558,530,443,442,605,568,515,554,547,546,545,657,717,418,417,644,631,611,588,525,467,466,465,464,451,450,448,423,422,419,405,404,403,402,401,400,399,398,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,5,4,701,676,673,672,671,636,635,633,617,591,590,578,557,556,534,477,476,475,474,473,472,471,470,469,468,445,444,425,424,421,420,416,415,414,413,412,411,410,409,408,407,406,395,394,393,392,391,522,503,502,501,653,637,594,535,517,516,513,512,511,509,508,507,506,489])).
% 4.69/4.65 cnf(1190,plain,
% 4.69/4.65 (P5(f23(x11901),f21(x11902),a44)),
% 4.69/4.65 inference(rename_variables,[],[150])).
% 4.69/4.65 cnf(1197,plain,
% 4.69/4.65 (P5(f23(x11971),f21(x11972),a44)),
% 4.69/4.65 inference(rename_variables,[],[150])).
% 4.69/4.65 cnf(1222,plain,
% 4.69/4.65 (~E(f13(x12221,x12222,x12223),x12222)),
% 4.69/4.65 inference(rename_variables,[],[359])).
% 4.69/4.65 cnf(1225,plain,
% 4.69/4.65 (~E(f13(x12251,x12252,x12253),x12252)),
% 4.69/4.65 inference(rename_variables,[],[359])).
% 4.69/4.65 cnf(1228,plain,
% 4.69/4.65 (~E(f13(x12281,x12282,x12283),x12282)),
% 4.69/4.65 inference(rename_variables,[],[359])).
% 4.69/4.65 cnf(1231,plain,
% 4.69/4.65 (~E(f13(x12311,x12312,x12313),x12312)),
% 4.69/4.65 inference(rename_variables,[],[359])).
% 4.69/4.65 cnf(1248,plain,
% 4.69/4.65 (~P5(f39(a29,f39(a34,a49)),f15(f4(a19,a47)),a44)),
% 4.69/4.65 inference(scs_inference,[],[143,142,305,353,109,110,111,112,113,114,116,118,120,121,140,304,377,382,784,861,898,904,907,910,155,265,245,301,298,192,880,159,840,359,753,766,787,790,807,810,813,826,832,847,870,887,890,1222,1225,1228,157,864,163,763,796,799,802,838,162,161,198,150,793,816,875,881,1190,169,376,844,895,901,125,836,136,221,164,176,177,913,130,286,748,769,821,855,869,369,175,350,380,379,284,378,758,252,211,273,2,432,453,452,6,459,446,441,694,691,619,603,602,589,587,524,514,493,492,491,490,488,487,463,436,435,684,616,615,596,559,440,439,397,643,595,528,607,479,478,561,102,97,94,93,91,90,89,3,542,532,608,714,550,549,543,567,707,496,656,678,558,530,443,442,605,568,515,554,547,546,545,657,717,418,417,644,631,611,588,525,467,466,465,464,451,450,448,423,422,419,405,404,403,402,401,400,399,398,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,5,4,701,676,673,672,671,636,635,633,617,591,590,578,557,556,534,477,476,475,474,473,472,471,470,469,468,445,444,425,424,421,420,416,415,414,413,412,411,410,409,408,407,406,395,394,393,392,391,522,503,502,501,653,637,594,535,517,516,513,512,511,509,508,507,506,489,484,460,449,429,428,658,598,597,580,577,576,575,574,555,523,505,504,499,498,497,486,485,427,426,686,670,683,645,601,600,103,101,95,609])).
% 4.69/4.65 cnf(1250,plain,
% 4.69/4.65 (P5(f39(a29,f39(a34,a19)),f15(f4(a19,a47)),a44)),
% 4.69/4.65 inference(scs_inference,[],[143,142,305,353,109,110,111,112,113,114,116,118,120,121,140,304,377,382,784,861,898,904,907,910,155,265,245,301,298,192,880,159,840,359,753,766,787,790,807,810,813,826,832,847,870,887,890,1222,1225,1228,157,864,163,763,796,799,802,838,162,161,198,150,793,816,875,881,1190,169,376,844,895,901,125,836,136,221,164,176,177,913,130,286,748,769,821,855,869,369,175,350,380,379,284,378,758,252,211,273,2,432,453,452,6,459,446,441,694,691,619,603,602,589,587,524,514,493,492,491,490,488,487,463,436,435,684,616,615,596,559,440,439,397,643,595,528,607,479,478,561,102,97,94,93,91,90,89,3,542,532,608,714,550,549,543,567,707,496,656,678,558,530,443,442,605,568,515,554,547,546,545,657,717,418,417,644,631,611,588,525,467,466,465,464,451,450,448,423,422,419,405,404,403,402,401,400,399,398,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,5,4,701,676,673,672,671,636,635,633,617,591,590,578,557,556,534,477,476,475,474,473,472,471,470,469,468,445,444,425,424,421,420,416,415,414,413,412,411,410,409,408,407,406,395,394,393,392,391,522,503,502,501,653,637,594,535,517,516,513,512,511,509,508,507,506,489,484,460,449,429,428,658,598,597,580,577,576,575,574,555,523,505,504,499,498,497,486,485,427,426,686,670,683,645,601,600,103,101,95,609,586])).
% 4.69/4.65 cnf(1252,plain,
% 4.69/4.65 (P5(f39(a29,f39(a34,a19)),f22(f4(a19,a47)),a44)),
% 4.69/4.65 inference(scs_inference,[],[143,142,305,353,109,110,111,112,113,114,116,118,120,121,140,304,377,382,784,861,898,904,907,910,155,265,245,301,298,192,880,159,840,359,753,766,787,790,807,810,813,826,832,847,870,887,890,1222,1225,1228,157,864,163,763,796,799,802,838,162,161,198,150,793,816,875,881,1190,169,376,844,895,901,125,836,136,221,164,176,177,913,130,286,748,769,821,855,869,369,175,350,380,379,284,378,758,252,211,273,2,432,453,452,6,459,446,441,694,691,619,603,602,589,587,524,514,493,492,491,490,488,487,463,436,435,684,616,615,596,559,440,439,397,643,595,528,607,479,478,561,102,97,94,93,91,90,89,3,542,532,608,714,550,549,543,567,707,496,656,678,558,530,443,442,605,568,515,554,547,546,545,657,717,418,417,644,631,611,588,525,467,466,465,464,451,450,448,423,422,419,405,404,403,402,401,400,399,398,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,5,4,701,676,673,672,671,636,635,633,617,591,590,578,557,556,534,477,476,475,474,473,472,471,470,469,468,445,444,425,424,421,420,416,415,414,413,412,411,410,409,408,407,406,395,394,393,392,391,522,503,502,501,653,637,594,535,517,516,513,512,511,509,508,507,506,489,484,460,449,429,428,658,598,597,580,577,576,575,574,555,523,505,504,499,498,497,486,485,427,426,686,670,683,645,601,600,103,101,95,609,586,585])).
% 4.69/4.65 cnf(1260,plain,
% 4.69/4.65 (~P7(f40(f39(a29,x12601),x12602,a44),f21(f35(f46(a44,a1))),f46(a44,a1))),
% 4.69/4.65 inference(scs_inference,[],[143,142,305,353,109,110,111,112,113,114,116,118,120,121,140,304,352,377,382,784,861,898,904,907,910,155,265,245,301,298,192,880,159,840,359,753,766,787,790,807,810,813,826,832,847,870,887,890,1222,1225,1228,157,864,163,763,796,799,802,838,162,161,198,150,793,816,875,881,1190,169,376,844,895,901,125,836,136,221,164,176,177,913,130,286,748,769,821,855,869,369,175,350,380,379,284,378,758,252,211,273,2,432,453,452,6,459,446,441,694,691,619,603,602,589,587,524,514,493,492,491,490,488,487,463,436,435,684,616,615,596,559,440,439,397,643,595,528,607,479,478,561,102,97,94,93,91,90,89,3,542,532,608,714,550,549,543,567,707,496,656,678,558,530,443,442,605,568,515,554,547,546,545,657,717,418,417,644,631,611,588,525,467,466,465,464,451,450,448,423,422,419,405,404,403,402,401,400,399,398,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,5,4,701,676,673,672,671,636,635,633,617,591,590,578,557,556,534,477,476,475,474,473,472,471,470,469,468,445,444,425,424,421,420,416,415,414,413,412,411,410,409,408,407,406,395,394,393,392,391,522,503,502,501,653,637,594,535,517,516,513,512,511,509,508,507,506,489,484,460,449,429,428,658,598,597,580,577,576,575,574,555,523,505,504,499,498,497,486,485,427,426,686,670,683,645,601,600,103,101,95,609,586,585,566,564,562,548])).
% 4.69/4.65 cnf(1272,plain,
% 4.69/4.65 (~P5(f27(f39(a34,a19),f39(a29,a53)),f15(f4(a19,a47)),a44)),
% 4.69/4.65 inference(scs_inference,[],[143,142,305,353,109,110,111,112,113,114,116,118,120,121,140,304,352,377,382,784,861,898,904,907,910,155,265,245,301,298,192,880,159,840,359,753,766,787,790,807,810,813,826,832,847,870,887,890,1222,1225,1228,157,864,163,763,796,799,802,838,162,161,198,150,793,816,875,881,1190,169,376,844,895,901,125,836,136,221,164,176,177,913,130,286,748,769,821,855,869,369,175,350,380,379,284,378,758,252,211,273,2,432,453,452,6,459,446,441,694,691,619,603,602,589,587,524,514,493,492,491,490,488,487,463,436,435,684,616,615,596,559,440,439,397,643,595,528,607,479,478,561,102,97,94,93,91,90,89,3,542,532,608,714,550,549,543,567,707,496,656,678,558,530,443,442,605,568,515,554,547,546,545,657,717,418,417,644,631,611,588,525,467,466,465,464,451,450,448,423,422,419,405,404,403,402,401,400,399,398,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,5,4,701,676,673,672,671,636,635,633,617,591,590,578,557,556,534,477,476,475,474,473,472,471,470,469,468,445,444,425,424,421,420,416,415,414,413,412,411,410,409,408,407,406,395,394,393,392,391,522,503,502,501,653,637,594,535,517,516,513,512,511,509,508,507,506,489,484,460,449,429,428,658,598,597,580,577,576,575,574,555,523,505,504,499,498,497,486,485,427,426,686,670,683,645,601,600,103,101,95,609,586,585,566,564,562,548,666,665,664,663,654,622])).
% 4.69/4.65 cnf(1283,plain,
% 4.69/4.65 (P5(f27(a53,f30(f28(a56),f28(a56))),f22(f10(f4(a19,a47),f4(a19,a47),f46(a44,a1))),a44)),
% 4.69/4.65 inference(scs_inference,[],[143,142,305,353,109,110,111,112,113,114,116,118,120,121,140,304,352,377,382,784,861,898,904,907,910,155,265,245,301,298,192,880,159,840,359,753,766,787,790,807,810,813,826,832,847,870,887,890,1222,1225,1228,157,864,163,763,796,799,802,838,162,161,198,150,793,816,875,881,1190,169,376,844,895,901,125,836,136,221,164,217,176,177,913,130,286,748,769,821,855,869,369,175,350,380,379,284,378,758,252,211,273,2,432,453,452,6,459,446,441,694,691,619,603,602,589,587,524,514,493,492,491,490,488,487,463,436,435,684,616,615,596,559,440,439,397,643,595,528,607,479,478,561,102,97,94,93,91,90,89,3,542,532,608,714,550,549,543,567,707,496,656,678,558,530,443,442,605,568,515,554,547,546,545,657,717,418,417,644,631,611,588,525,467,466,465,464,451,450,448,423,422,419,405,404,403,402,401,400,399,398,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,5,4,701,676,673,672,671,636,635,633,617,591,590,578,557,556,534,477,476,475,474,473,472,471,470,469,468,445,444,425,424,421,420,416,415,414,413,412,411,410,409,408,407,406,395,394,393,392,391,522,503,502,501,653,637,594,535,517,516,513,512,511,509,508,507,506,489,484,460,449,429,428,658,598,597,580,577,576,575,574,555,523,505,504,499,498,497,486,485,427,426,686,670,683,645,601,600,103,101,95,609,586,585,566,564,562,548,666,665,664,663,654,622,614,529,455,571,667])).
% 4.69/4.65 cnf(1286,plain,
% 4.69/4.65 (P5(f23(x12861),f21(x12862),a44)),
% 4.69/4.65 inference(rename_variables,[],[150])).
% 4.69/4.65 cnf(1288,plain,
% 4.69/4.65 (P3(f13(f8(x12881,a20,f30(f24(x12881),f30(f24(x12882),f28(x12883)))),f3(a2),a2))),
% 4.69/4.65 inference(scs_inference,[],[143,142,305,353,109,110,111,112,113,114,116,118,120,121,140,304,352,124,377,382,784,861,898,904,907,910,155,265,245,301,298,192,880,159,840,359,753,766,787,790,807,810,813,826,832,847,870,887,890,1222,1225,1228,157,864,163,763,796,799,802,838,162,161,198,150,793,816,875,881,1190,1197,169,376,844,895,901,125,836,136,221,164,217,176,177,913,130,286,748,769,821,855,869,369,175,350,380,379,284,378,758,252,211,273,2,432,453,452,6,459,446,441,694,691,619,603,602,589,587,524,514,493,492,491,490,488,487,463,436,435,684,616,615,596,559,440,439,397,643,595,528,607,479,478,561,102,97,94,93,91,90,89,3,542,532,608,714,550,549,543,567,707,496,656,678,558,530,443,442,605,568,515,554,547,546,545,657,717,418,417,644,631,611,588,525,467,466,465,464,451,450,448,423,422,419,405,404,403,402,401,400,399,398,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,5,4,701,676,673,672,671,636,635,633,617,591,590,578,557,556,534,477,476,475,474,473,472,471,470,469,468,445,444,425,424,421,420,416,415,414,413,412,411,410,409,408,407,406,395,394,393,392,391,522,503,502,501,653,637,594,535,517,516,513,512,511,509,508,507,506,489,484,460,449,429,428,658,598,597,580,577,576,575,574,555,523,505,504,499,498,497,486,485,427,426,686,670,683,645,601,600,103,101,95,609,586,585,566,564,562,548,666,665,664,663,654,622,614,529,455,571,667,640,674])).
% 4.69/4.65 cnf(1297,plain,
% 4.69/4.65 (~P5(f39(a29,a53),f15(f40(f39(a29,f39(f38(x12971),x12972)),f4(a19,a47),a44)),a44)),
% 4.69/4.65 inference(scs_inference,[],[143,142,305,353,109,110,111,112,113,114,116,118,120,121,140,304,352,124,144,377,382,784,861,898,904,907,910,155,383,265,245,301,298,192,880,159,840,359,753,766,787,790,807,810,813,826,832,847,870,887,890,1222,1225,1228,157,864,163,763,796,799,802,838,162,161,198,367,150,793,816,875,881,1190,1197,169,376,844,895,901,125,836,136,221,164,217,176,177,913,130,286,748,769,821,855,869,369,175,350,380,379,284,378,758,252,211,273,2,432,453,452,6,459,446,441,694,691,619,603,602,589,587,524,514,493,492,491,490,488,487,463,436,435,684,616,615,596,559,440,439,397,643,595,528,607,479,478,561,102,97,94,93,91,90,89,3,542,532,608,714,550,549,543,567,707,496,656,678,558,530,443,442,605,568,515,554,547,546,545,657,717,418,417,644,631,611,588,525,467,466,465,464,451,450,448,423,422,419,405,404,403,402,401,400,399,398,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,5,4,701,676,673,672,671,636,635,633,617,591,590,578,557,556,534,477,476,475,474,473,472,471,470,469,468,445,444,425,424,421,420,416,415,414,413,412,411,410,409,408,407,406,395,394,393,392,391,522,503,502,501,653,637,594,535,517,516,513,512,511,509,508,507,506,489,484,460,449,429,428,658,598,597,580,577,576,575,574,555,523,505,504,499,498,497,486,485,427,426,686,670,683,645,601,600,103,101,95,609,586,585,566,564,562,548,666,665,664,663,654,622,614,529,455,571,667,640,674,634,569,681,639])).
% 4.69/4.65 cnf(1300,plain,
% 4.69/4.65 (~P5(f28(x13001),f21(f40(f23(x13002),f22(f35(f46(a44,a1))),a44)),a44)),
% 4.69/4.65 inference(scs_inference,[],[143,142,305,353,109,110,111,112,113,114,116,118,120,121,140,304,352,124,144,377,382,784,861,898,904,907,910,155,383,265,245,301,298,192,880,159,840,359,753,766,787,790,807,810,813,826,832,847,870,887,890,1222,1225,1228,157,864,163,763,796,799,802,838,162,161,198,367,150,793,816,875,881,1190,1197,1286,169,376,844,895,901,125,836,136,221,164,217,176,177,913,130,286,748,769,821,855,869,369,175,350,380,379,284,378,758,252,211,273,2,432,453,452,6,459,446,441,694,691,619,603,602,589,587,524,514,493,492,491,490,488,487,463,436,435,684,616,615,596,559,440,439,397,643,595,528,607,479,478,561,102,97,94,93,91,90,89,3,542,532,608,714,550,549,543,567,707,496,656,678,558,530,443,442,605,568,515,554,547,546,545,657,717,418,417,644,631,611,588,525,467,466,465,464,451,450,448,423,422,419,405,404,403,402,401,400,399,398,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,5,4,701,676,673,672,671,636,635,633,617,591,590,578,557,556,534,477,476,475,474,473,472,471,470,469,468,445,444,425,424,421,420,416,415,414,413,412,411,410,409,408,407,406,395,394,393,392,391,522,503,502,501,653,637,594,535,517,516,513,512,511,509,508,507,506,489,484,460,449,429,428,658,598,597,580,577,576,575,574,555,523,505,504,499,498,497,486,485,427,426,686,670,683,645,601,600,103,101,95,609,586,585,566,564,562,548,666,665,664,663,654,622,614,529,455,571,667,640,674,634,569,681,639,638])).
% 4.69/4.65 cnf(1301,plain,
% 4.69/4.65 (P5(f23(x13011),f21(x13012),a44)),
% 4.69/4.65 inference(rename_variables,[],[150])).
% 4.69/4.65 cnf(1305,plain,
% 4.69/4.65 (P7(f15(f10(x13051,x13051,f46(a44,a1))),f15(f10(f10(x13052,f15(x13051),f46(a44,a1)),f10(x13052,f15(x13051),f46(a44,a1)),f46(a44,a1))),f46(a44,a1))),
% 4.69/4.65 inference(scs_inference,[],[143,142,305,353,109,110,111,112,113,114,116,118,120,121,140,304,352,124,144,377,382,784,861,898,904,907,910,155,383,265,245,301,298,192,880,159,840,359,753,766,787,790,807,810,813,826,832,847,870,887,890,1222,1225,1228,157,864,163,763,796,799,802,838,162,161,198,334,367,150,793,816,875,881,1190,1197,1286,169,376,844,895,901,125,836,136,221,164,217,176,177,913,130,286,748,769,821,855,869,369,175,350,380,379,284,378,758,252,211,273,2,432,453,452,6,459,446,441,694,691,619,603,602,589,587,524,514,493,492,491,490,488,487,463,436,435,684,616,615,596,559,440,439,397,643,595,528,607,479,478,561,102,97,94,93,91,90,89,3,542,532,608,714,550,549,543,567,707,496,656,678,558,530,443,442,605,568,515,554,547,546,545,657,717,418,417,644,631,611,588,525,467,466,465,464,451,450,448,423,422,419,405,404,403,402,401,400,399,398,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,5,4,701,676,673,672,671,636,635,633,617,591,590,578,557,556,534,477,476,475,474,473,472,471,470,469,468,445,444,425,424,421,420,416,415,414,413,412,411,410,409,408,407,406,395,394,393,392,391,522,503,502,501,653,637,594,535,517,516,513,512,511,509,508,507,506,489,484,460,449,429,428,658,598,597,580,577,576,575,574,555,523,505,504,499,498,497,486,485,427,426,686,670,683,645,601,600,103,101,95,609,586,585,566,564,562,548,666,665,664,663,654,622,614,529,455,571,667,640,674,634,569,681,639,638,610,675])).
% 4.69/4.65 cnf(1312,plain,
% 4.69/4.65 (~E(f13(x13121,x13122,x13123),x13122)),
% 4.69/4.65 inference(rename_variables,[],[359])).
% 4.69/4.65 cnf(1323,plain,
% 4.69/4.65 (P5(f9(f3(x13231),f3(x13231),x13231),f17(x13232,x13231),f43(x13231))),
% 4.69/4.65 inference(scs_inference,[],[143,142,305,353,109,110,111,112,113,114,116,118,120,121,140,304,352,124,144,377,382,784,861,898,904,907,910,155,383,265,245,301,298,192,880,159,840,359,753,766,787,790,807,810,813,826,832,847,870,887,890,1222,1225,1228,1231,157,864,163,763,796,799,802,838,162,161,198,334,367,150,793,816,875,881,1190,1197,1286,1301,169,376,844,895,901,125,836,136,221,165,164,217,176,177,913,130,286,748,769,821,855,869,370,369,175,350,380,379,284,378,758,252,211,273,2,432,453,452,6,459,446,441,694,691,619,603,602,589,587,524,514,493,492,491,490,488,487,463,436,435,684,616,615,596,559,440,439,397,643,595,528,607,479,478,561,102,97,94,93,91,90,89,3,542,532,608,714,550,549,543,567,707,496,656,678,558,530,443,442,605,568,515,554,547,546,545,657,717,418,417,644,631,611,588,525,467,466,465,464,451,450,448,423,422,419,405,404,403,402,401,400,399,398,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,5,4,701,676,673,672,671,636,635,633,617,591,590,578,557,556,534,477,476,475,474,473,472,471,470,469,468,445,444,425,424,421,420,416,415,414,413,412,411,410,409,408,407,406,395,394,393,392,391,522,503,502,501,653,637,594,535,517,516,513,512,511,509,508,507,506,489,484,460,449,429,428,658,598,597,580,577,576,575,574,555,523,505,504,499,498,497,486,485,427,426,686,670,683,645,601,600,103,101,95,609,586,585,566,564,562,548,666,665,664,663,654,622,614,529,455,571,667,640,674,634,569,681,639,638,610,675,573,544,708,641,628,646,642,623])).
% 4.69/4.65 cnf(1326,plain,
% 4.69/4.65 (~E(f13(x13261,x13262,x13263),x13262)),
% 4.69/4.65 inference(rename_variables,[],[359])).
% 4.69/4.65 cnf(1328,plain,
% 4.69/4.65 (~P5(f27(f39(a34,a49),f30(x13281,f30(f24(x13282),f30(f39(a29,f39(a34,x13283)),x13284)))),f22(f4(a19,a47)),a44)),
% 4.69/4.65 inference(scs_inference,[],[143,142,305,353,109,110,111,112,113,114,116,118,120,121,140,304,352,124,144,377,382,784,861,898,904,907,910,155,383,265,245,301,298,192,880,159,840,359,753,766,787,790,807,810,813,826,832,847,870,887,890,1222,1225,1228,1231,1312,157,864,163,763,796,799,802,838,162,161,198,334,367,150,793,816,875,881,1190,1197,1286,1301,169,376,844,895,901,125,836,136,221,165,164,217,176,177,913,130,286,748,769,821,855,869,370,369,175,350,380,379,284,856,378,758,252,211,273,2,432,453,452,6,459,446,441,694,691,619,603,602,589,587,524,514,493,492,491,490,488,487,463,436,435,684,616,615,596,559,440,439,397,643,595,528,607,479,478,561,102,97,94,93,91,90,89,3,542,532,608,714,550,549,543,567,707,496,656,678,558,530,443,442,605,568,515,554,547,546,545,657,717,418,417,644,631,611,588,525,467,466,465,464,451,450,448,423,422,419,405,404,403,402,401,400,399,398,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,5,4,701,676,673,672,671,636,635,633,617,591,590,578,557,556,534,477,476,475,474,473,472,471,470,469,468,445,444,425,424,421,420,416,415,414,413,412,411,410,409,408,407,406,395,394,393,392,391,522,503,502,501,653,637,594,535,517,516,513,512,511,509,508,507,506,489,484,460,449,429,428,658,598,597,580,577,576,575,574,555,523,505,504,499,498,497,486,485,427,426,686,670,683,645,601,600,103,101,95,609,586,585,566,564,562,548,666,665,664,663,654,622,614,529,455,571,667,640,674,634,569,681,639,638,610,675,573,544,708,641,628,646,642,623,482,706])).
% 4.69/4.65 cnf(1329,plain,
% 4.69/4.65 (P5(f39(x13291,x13292),f41(x13291,f37(f46(x13293,a1)),x13293,x13294),x13294)),
% 4.69/4.65 inference(rename_variables,[],[284])).
% 4.69/4.65 cnf(1336,plain,
% 4.69/4.65 (~P5(f27(f39(a34,a49),f30(x13361,f30(f24(x13362),f30(f39(a29,x13363),f13(x13364,f27(f39(a34,x13362),f30(f39(a29,x13363),f24(a49))),x13365))))),f22(f4(a19,a47)),a44)),
% 4.69/4.65 inference(scs_inference,[],[143,142,305,353,109,110,111,112,113,114,116,118,120,121,140,304,352,124,144,377,382,784,861,898,904,907,910,155,383,265,245,301,298,192,880,159,840,359,753,766,787,790,807,810,813,826,832,847,870,887,890,1222,1225,1228,1231,1312,1326,157,864,163,763,796,799,802,838,162,161,198,334,367,150,793,816,875,881,1190,1197,1286,1301,169,376,844,895,901,125,836,136,221,165,164,217,176,177,913,130,286,748,769,821,855,869,370,369,175,350,380,379,284,856,1329,378,758,252,211,273,2,432,453,452,6,459,446,441,694,691,619,603,602,589,587,524,514,493,492,491,490,488,487,463,436,435,684,616,615,596,559,440,439,397,643,595,528,607,479,478,561,102,97,94,93,91,90,89,3,542,532,608,714,550,549,543,567,707,496,656,678,558,530,443,442,605,568,515,554,547,546,545,657,717,418,417,644,631,611,588,525,467,466,465,464,451,450,448,423,422,419,405,404,403,402,401,400,399,398,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,5,4,701,676,673,672,671,636,635,633,617,591,590,578,557,556,534,477,476,475,474,473,472,471,470,469,468,445,444,425,424,421,420,416,415,414,413,412,411,410,409,408,407,406,395,394,393,392,391,522,503,502,501,653,637,594,535,517,516,513,512,511,509,508,507,506,489,484,460,449,429,428,658,598,597,580,577,576,575,574,555,523,505,504,499,498,497,486,485,427,426,686,670,683,645,601,600,103,101,95,609,586,585,566,564,562,548,666,665,664,663,654,622,614,529,455,571,667,640,674,634,569,681,639,638,610,675,573,544,708,641,628,646,642,623,482,706,583,716,695])).
% 4.69/4.65 cnf(1339,plain,
% 4.69/4.65 (~P5(f8(x13391,x13392,f27(f39(a34,x13392),f30(f28(x13393),f30(f24(x13394),f30(f39(a29,x13395),f30(f39(a29,a53),x13396)))))),f18(a47,a2),a2)),
% 4.69/4.65 inference(scs_inference,[],[143,142,305,353,109,110,111,112,113,114,116,118,120,121,140,304,352,124,144,377,382,784,861,898,904,907,910,155,383,265,245,301,298,192,880,159,840,359,753,766,787,790,807,810,813,826,832,847,870,887,890,1222,1225,1228,1231,1312,1326,157,864,163,763,796,799,802,838,162,161,198,334,349,367,150,793,816,875,881,1190,1197,1286,1301,169,376,844,895,901,125,836,136,221,165,164,217,176,177,913,130,286,748,769,821,855,869,370,369,175,350,380,379,284,856,1329,378,758,252,211,273,2,432,453,452,6,459,446,441,694,691,619,603,602,589,587,524,514,493,492,491,490,488,487,463,436,435,684,616,615,596,559,440,439,397,643,595,528,607,479,478,561,102,97,94,93,91,90,89,3,542,532,608,714,550,549,543,567,707,496,656,678,558,530,443,442,605,568,515,554,547,546,545,657,717,418,417,644,631,611,588,525,467,466,465,464,451,450,448,423,422,419,405,404,403,402,401,400,399,398,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,5,4,701,676,673,672,671,636,635,633,617,591,590,578,557,556,534,477,476,475,474,473,472,471,470,469,468,445,444,425,424,421,420,416,415,414,413,412,411,410,409,408,407,406,395,394,393,392,391,522,503,502,501,653,637,594,535,517,516,513,512,511,509,508,507,506,489,484,460,449,429,428,658,598,597,580,577,576,575,574,555,523,505,504,499,498,497,486,485,427,426,686,670,683,645,601,600,103,101,95,609,586,585,566,564,562,548,666,665,664,663,654,622,614,529,455,571,667,640,674,634,569,681,639,638,610,675,573,544,708,641,628,646,642,623,482,706,583,716,695,709])).
% 4.69/4.65 cnf(1387,plain,
% 4.69/4.65 (~P5(f27(a53,f30(f28(a56),f28(a56))),f22(f4(a19,a47)),a44)+~P5(f27(f39(a34,a49),f30(f28(a54),f30(f24(a51),f30(f39(a29,a53),a58)))),f22(f4(a19,a47)),a44)),
% 4.69/4.65 inference(scs_inference,[],[383,697])).
% 4.69/4.65 cnf(1393,plain,
% 4.69/4.65 (~P5(x13931,f15(f35(f46(a44,a1))),a44)),
% 4.69/4.65 inference(rename_variables,[],[741])).
% 4.69/4.65 cnf(1403,plain,
% 4.69/4.65 (~P5(f39(a29,f39(a34,a49)),f15(f40(f39(a29,f14(f39(f38(x14031),x14032))),f4(a19,a47),a44)),a44)),
% 4.69/4.65 inference(scs_inference,[],[143,354,384,356,389,743,752,1339,741,912,1248,520,519,579,551,711,690])).
% 4.69/4.65 cnf(1413,plain,
% 4.69/4.65 (P5(f24(x14131),f15(f21(x14132)),a44)),
% 4.69/4.65 inference(scs_inference,[],[143,354,152,384,356,389,743,752,1339,741,912,1248,1250,520,519,579,551,711,690,689,669,668,453])).
% 4.69/4.65 cnf(1415,plain,
% 4.69/4.65 (~P5(f28(x14151),f40(f23(x14152),f22(f35(f46(a44,a1))),a44),a44)),
% 4.69/4.65 inference(scs_inference,[],[143,354,152,384,356,389,743,752,1339,1300,741,912,1248,1250,520,519,579,551,711,690,689,669,668,453,451])).
% 4.69/4.65 cnf(1420,plain,
% 4.69/4.65 (~P5(f27(x14201,x14202),f22(f4(x14203,f3(a2))),a44)),
% 4.69/4.65 inference(rename_variables,[],[381])).
% 4.69/4.65 cnf(1422,plain,
% 4.69/4.65 (P5(x14221,f15(f4(a19,f9(x14222,f13(f8(x14223,x14224,x14221),x14225,a2),a2))),a44)),
% 4.69/4.65 inference(scs_inference,[],[143,354,152,384,381,356,389,286,743,752,1339,1300,741,912,1248,1250,520,519,579,551,711,690,689,669,668,453,451,446,691,603])).
% 4.69/4.65 cnf(1423,plain,
% 4.69/4.65 (P5(x14231,f18(f9(x14232,f13(x14231,x14233,x14234),x14234),x14234),x14234)),
% 4.69/4.65 inference(rename_variables,[],[286])).
% 4.69/4.65 cnf(1425,plain,
% 4.69/4.65 (P5(x14251,f22(f4(a19,f9(x14252,f13(f8(x14253,x14254,x14251),x14255,a2),a2))),a44)),
% 4.69/4.65 inference(scs_inference,[],[143,354,152,384,381,356,389,286,1423,743,752,1339,1300,741,912,1248,1250,520,519,579,551,711,690,689,669,668,453,451,446,691,603,602])).
% 4.69/4.65 cnf(1428,plain,
% 4.69/4.65 (P5(x14281,f11(f9(x14282,f13(f7(x14283,f30(x14284,x14281)),x14285,a2),a2)),a44)),
% 4.69/4.65 inference(scs_inference,[],[143,354,152,384,381,356,389,286,1423,743,752,1339,1300,768,741,912,1248,1250,520,519,579,551,711,690,689,669,668,453,451,446,691,603,602,487])).
% 4.69/4.65 cnf(1429,plain,
% 4.69/4.65 (P5(x14291,f11(f9(x14292,f13(f7(x14293,x14291),x14294,a2),a2)),a44)),
% 4.69/4.65 inference(rename_variables,[],[768])).
% 4.69/4.65 cnf(1436,plain,
% 4.69/4.65 (~P7(f13(x14361,f35(f46(x14362,a1)),x14363),f35(f46(x14362,a1)),f46(x14362,a1))),
% 4.69/4.65 inference(rename_variables,[],[765])).
% 4.69/4.65 cnf(1439,plain,
% 4.69/4.65 (~P7(f13(x14391,f35(f46(x14392,a1)),x14393),f35(f46(x14392,a1)),f46(x14392,a1))),
% 4.69/4.65 inference(rename_variables,[],[765])).
% 4.69/4.65 cnf(1442,plain,
% 4.69/4.65 (~P5(f27(x14421,x14422),f22(f4(x14423,f3(a2))),a44)),
% 4.69/4.65 inference(rename_variables,[],[381])).
% 4.69/4.65 cnf(1443,plain,
% 4.69/4.65 (P7(f22(f4(a19,f16(x14431,a2))),f22(f4(a19,x14431)),f46(a44,a1))),
% 4.69/4.65 inference(rename_variables,[],[226])).
% 4.69/4.65 cnf(1445,plain,
% 4.69/4.65 (~P5(f27(x14451,x14452),f22(f10(f4(x14453,f3(a2)),f4(x14453,f3(a2)),f46(a44,a1))),a44)),
% 4.69/4.65 inference(scs_inference,[],[143,354,152,384,381,1420,1442,356,226,389,209,286,1423,743,752,765,1436,961,1339,1300,768,741,912,1248,1250,520,519,579,551,711,690,689,669,668,453,451,446,691,603,602,487,561,609,566,564,549,654])).
% 4.69/4.65 cnf(1455,plain,
% 4.69/4.65 (~P15(f39(f40(f3(x14551),f35(f46(x14552,a1)),x14553),f13(x14554,x14555,x14551)))),
% 4.69/4.65 inference(scs_inference,[],[143,354,362,152,384,351,242,381,1420,1442,356,226,389,209,286,1423,118,124,379,743,752,765,1436,961,1339,1300,768,741,912,1248,1250,520,519,579,551,711,690,689,669,668,453,451,446,691,603,602,487,561,609,566,564,549,654,614,529,707,640,610])).
% 4.69/4.65 cnf(1456,plain,
% 4.69/4.65 (~P15(f39(f35(f46(x14561,a1)),x14562))),
% 4.69/4.65 inference(rename_variables,[],[379])).
% 4.69/4.65 cnf(1458,plain,
% 4.69/4.65 (~P5(f30(f28(x14581),x14582),f21(f21(f22(f35(f46(a44,a1))))),a44)),
% 4.69/4.65 inference(scs_inference,[],[143,354,362,152,384,351,242,381,1420,1442,356,226,389,209,286,1423,118,124,379,743,752,765,1436,961,1339,1097,903,1300,768,741,912,1248,1250,520,519,579,551,711,690,689,669,668,453,451,446,691,603,602,487,561,609,566,564,549,654,614,529,707,640,610,547])).
% 4.69/4.65 cnf(1462,plain,
% 4.69/4.65 (P9(f46(x14621,a1))),
% 4.69/4.65 inference(rename_variables,[],[961])).
% 4.69/4.65 cnf(1464,plain,
% 4.69/4.65 (~P5(f8(x14641,x14642,f27(f39(a34,x14642),f30(f28(x14643),f30(f24(x14644),f30(f39(a29,f39(a34,x14645)),f27(f39(a34,a19),f39(a29,a53))))))),f18(a47,a2),a2)),
% 4.69/4.65 inference(scs_inference,[],[143,354,362,152,384,351,242,381,1420,1442,356,226,389,209,286,1423,284,118,124,379,743,1272,752,765,1436,961,1339,1097,903,1300,768,741,912,1248,1250,520,519,579,551,711,690,689,669,668,453,451,446,691,603,602,487,561,609,566,564,549,654,614,529,707,640,610,547,583,716])).
% 4.69/4.65 cnf(1465,plain,
% 4.69/4.65 (P5(f39(x14651,x14652),f41(x14651,f37(f46(x14653,a1)),x14653,x14654),x14654)),
% 4.69/4.65 inference(rename_variables,[],[284])).
% 4.69/4.65 cnf(1468,plain,
% 4.69/4.65 (~E(f26(x14681),f27(x14682,x14683))),
% 4.69/4.65 inference(rename_variables,[],[326])).
% 4.69/4.65 cnf(1471,plain,
% 4.69/4.65 (P5(f24(x14711),f21(x14712),a44)),
% 4.69/4.65 inference(rename_variables,[],[152])).
% 4.69/4.65 cnf(1478,plain,
% 4.69/4.65 (P9(f46(x14781,a1))),
% 4.69/4.65 inference(rename_variables,[],[961])).
% 4.69/4.65 cnf(1481,plain,
% 4.69/4.65 (P7(f40(x14811,f15(x14812),a44),f15(f40(x14811,x14812,a44)),f46(a44,a1))),
% 4.69/4.65 inference(rename_variables,[],[254])).
% 4.69/4.65 cnf(1482,plain,
% 4.69/4.65 (P5(x14821,f15(f40(x14821,x14822,a44)),a44)),
% 4.69/4.65 inference(rename_variables,[],[762])).
% 4.69/4.65 cnf(1484,plain,
% 4.69/4.65 (~P5(f39(a29,a53),f15(f40(f39(a29,f39(f38(x14841),x14842)),f40(f39(a29,f39(f38(x14841),x14842)),f4(a19,a47),a44),a44)),a44)),
% 4.69/4.65 inference(scs_inference,[],[143,354,362,326,152,384,351,242,381,1420,1442,356,254,226,389,209,286,1423,284,118,124,379,211,743,1272,752,765,1436,961,1462,1339,1097,903,762,1482,1300,768,741,912,1297,1177,1248,1250,520,519,579,551,711,690,689,669,668,453,451,446,691,603,602,487,561,609,566,564,549,654,614,529,707,640,610,547,583,716,695,452,459,490,455,571,639])).
% 4.69/4.65 cnf(1485,plain,
% 4.69/4.65 (P5(x14851,f15(f40(x14851,x14852,a44)),a44)),
% 4.69/4.65 inference(rename_variables,[],[762])).
% 4.69/4.65 cnf(1488,plain,
% 4.69/4.65 (~P15(f39(a5,a51))),
% 4.69/4.65 inference(scs_inference,[],[143,732,354,362,326,152,384,351,242,381,1420,1442,356,254,226,389,209,286,1423,284,118,124,379,211,743,1272,752,765,1436,961,1462,1339,1097,903,762,1482,1300,768,741,912,1297,1177,1248,1250,520,519,579,551,711,690,689,669,668,453,451,446,691,603,602,487,561,609,566,564,549,654,614,529,707,640,610,547,583,716,695,452,459,490,455,571,639,6,441])).
% 4.69/4.65 cnf(1501,plain,
% 4.69/4.65 (P5(x15011,f15(f40(f30(x15011,x15012),x15013,a44)),a44)),
% 4.69/4.65 inference(scs_inference,[],[143,732,354,362,326,152,384,373,351,242,381,1420,1442,356,254,226,389,209,286,1423,284,118,124,379,211,743,1272,752,765,1436,860,1260,961,1462,1339,1097,903,762,1482,1485,1300,768,741,912,1297,1177,1248,1250,520,519,579,551,711,690,689,669,668,453,451,446,691,603,602,487,561,609,566,564,549,654,614,529,707,640,610,547,583,716,695,452,459,490,455,571,639,6,441,694,589,514,512,511,493])).
% 4.69/4.65 cnf(1502,plain,
% 4.69/4.65 (P5(x15021,f15(f40(x15021,x15022,a44)),a44)),
% 4.69/4.65 inference(rename_variables,[],[762])).
% 4.69/4.65 cnf(1504,plain,
% 4.69/4.65 (P5(x15041,f15(f40(f30(x15042,x15041),x15043,a44)),a44)),
% 4.69/4.65 inference(scs_inference,[],[143,732,354,362,326,152,384,373,351,242,381,1420,1442,356,254,226,389,209,286,1423,284,118,124,379,211,743,1272,752,765,1436,860,1260,961,1462,1339,1097,903,762,1482,1485,1502,1300,768,741,912,1297,1177,1248,1250,520,519,579,551,711,690,689,669,668,453,451,446,691,603,602,487,561,609,566,564,549,654,614,529,707,640,610,547,583,716,695,452,459,490,455,571,639,6,441,694,589,514,512,511,493,492])).
% 4.69/4.65 cnf(1513,plain,
% 4.69/4.65 (E(f9(x15131,f3(x15132),x15132),x15131)),
% 4.69/4.65 inference(rename_variables,[],[148])).
% 4.69/4.65 cnf(1514,plain,
% 4.69/4.65 (~P7(f9(f13(x15141,f35(f46(x15142,a1)),x15143),f3(x15144),x15144),f35(f46(x15142,a1)),f46(x15142,a1))),
% 4.69/4.65 inference(scs_inference,[],[143,732,354,362,326,152,384,373,351,242,381,1420,1442,356,254,226,148,1513,389,209,286,1423,284,118,124,379,211,743,1272,752,765,1436,1439,860,1260,961,1462,1339,1097,903,762,1482,1485,1502,1300,768,1429,737,741,912,1297,1177,1248,1250,520,519,579,551,711,690,689,669,668,453,451,446,691,603,602,487,561,609,566,564,549,654,614,529,707,640,610,547,583,716,695,452,459,490,455,571,639,6,441,694,589,514,512,511,493,492,488,528,95,93])).
% 4.69/4.65 cnf(1515,plain,
% 4.69/4.65 (E(f9(x15151,f3(x15152),x15152),x15151)),
% 4.69/4.65 inference(rename_variables,[],[148])).
% 4.69/4.65 cnf(1517,plain,
% 4.69/4.65 (E(f9(x15171,f3(x15172),x15172),x15171)),
% 4.69/4.65 inference(rename_variables,[],[148])).
% 4.69/4.65 cnf(1519,plain,
% 4.69/4.65 (E(f9(x15191,f3(x15192),x15192),x15191)),
% 4.69/4.65 inference(rename_variables,[],[148])).
% 4.69/4.65 cnf(1523,plain,
% 4.69/4.65 (~P5(f39(a29,f39(a34,a51)),f22(f4(a19,a47)),a44)),
% 4.69/4.65 inference(scs_inference,[],[143,732,354,362,326,152,384,373,351,242,381,1420,1442,356,254,226,277,279,148,1513,1515,1517,389,209,286,1423,284,118,124,379,211,743,1272,752,765,1436,1439,860,1260,961,1462,1339,1097,903,762,1482,1485,1502,1300,768,1429,737,741,912,1297,1177,1248,1250,520,519,579,551,711,690,689,669,668,453,451,446,691,603,602,487,561,609,566,564,549,654,614,529,707,640,610,547,583,716,695,452,459,490,455,571,639,6,441,694,589,514,512,511,493,492,488,528,95,93,90,89,532,608])).
% 4.69/4.65 cnf(1526,plain,
% 4.69/4.65 (P5(f39(x15261,x15262),f41(x15261,f37(f46(x15263,a1)),x15263,x15264),x15264)),
% 4.69/4.65 inference(rename_variables,[],[284])).
% 4.69/4.65 cnf(1529,plain,
% 4.69/4.65 (P7(x15291,x15291,f46(x15292,a1))),
% 4.69/4.65 inference(rename_variables,[],[159])).
% 4.69/4.65 cnf(1536,plain,
% 4.69/4.65 (P5(f27(a53,f30(f28(a56),f28(a56))),f22(f40(x15361,f40(a57,f4(a19,a47),a44),a44)),a44)),
% 4.69/4.65 inference(rename_variables,[],[1069])).
% 4.69/4.65 cnf(1542,plain,
% 4.69/4.65 (~P7(f40(f39(a29,x15421),x15422,a44),f21(f35(f46(a44,a1))),f46(a44,a1))),
% 4.69/4.65 inference(rename_variables,[],[1260])).
% 4.69/4.65 cnf(1543,plain,
% 4.69/4.65 (P7(f40(x15431,f15(x15432),a44),f15(f40(x15431,x15432,a44)),f46(a44,a1))),
% 4.69/4.65 inference(rename_variables,[],[254])).
% 4.69/4.65 cnf(1550,plain,
% 4.69/4.65 (~E(f13(x15501,x15502,x15503),x15502)),
% 4.69/4.65 inference(rename_variables,[],[359])).
% 4.69/4.65 cnf(1553,plain,
% 4.69/4.65 (P7(x15531,f15(x15531),f46(a44,a1))),
% 4.69/4.65 inference(rename_variables,[],[163])).
% 4.69/4.65 cnf(1554,plain,
% 4.69/4.65 (P7(x15541,x15541,f46(x15542,a1))),
% 4.69/4.65 inference(rename_variables,[],[159])).
% 4.69/4.65 cnf(1568,plain,
% 4.69/4.65 (P5(f24(x15681),f21(x15682),a44)),
% 4.69/4.65 inference(rename_variables,[],[152])).
% 4.69/4.65 cnf(1577,plain,
% 4.69/4.65 (~P5(f30(x15771,f28(x15772)),f21(f21(f22(f35(f46(a44,a1))))),a44)),
% 4.69/4.65 inference(scs_inference,[],[143,732,354,362,326,1468,347,152,1471,384,386,372,373,351,242,181,381,1420,1442,356,254,1481,226,277,279,148,1513,1515,1517,389,209,298,159,1529,1554,359,163,286,1423,284,1465,118,124,165,379,211,743,1272,752,765,1436,1439,860,1260,1542,961,1462,1339,1097,903,906,762,1482,1485,1502,1300,768,1429,1069,1536,737,741,912,1297,1177,866,1248,1250,1052,520,519,579,551,711,690,689,669,668,453,451,446,691,603,602,487,561,609,566,564,549,654,614,529,707,640,610,547,583,716,695,452,459,490,455,571,639,6,441,694,589,514,512,511,493,492,488,528,95,93,90,89,532,608,714,550,664,663,667,634,569,678,530,675,605,568,708,659,641,628,554,546])).
% 4.69/4.65 cnf(1587,plain,
% 4.69/4.65 (~P5(f39(a29,a53),f15(f40(f24(x15871),f4(a19,a47),a44)),a44)),
% 4.69/4.65 inference(scs_inference,[],[143,732,354,362,326,1468,347,152,1471,1568,384,386,372,373,351,242,181,381,1420,1442,356,254,1481,226,277,279,148,1513,1515,1517,389,209,298,159,1529,1554,359,163,286,1423,284,1465,1526,118,124,165,379,211,377,743,1272,752,765,1436,1439,860,1260,1542,961,1462,1339,1097,903,906,762,1482,1485,1502,1300,768,1429,1069,1536,737,741,912,1297,1175,1177,866,1248,1250,1052,520,519,579,551,711,690,689,669,668,453,451,446,691,603,602,487,561,609,566,564,549,654,614,529,707,640,610,547,583,716,695,452,459,490,455,571,639,6,441,694,589,514,512,511,493,492,488,528,95,93,90,89,532,608,714,550,664,663,667,634,569,678,530,675,605,568,708,659,641,628,554,546,545,646,706,657])).
% 4.69/4.65 cnf(1588,plain,
% 4.69/4.65 (P5(f24(x15881),f21(x15882),a44)),
% 4.69/4.65 inference(rename_variables,[],[152])).
% 4.69/4.65 cnf(1591,plain,
% 4.69/4.65 (~P5(f8(x15911,x15912,f27(f39(a34,x15912),f30(f28(x15913),f30(f24(x15914),f30(f39(a29,x15915),f39(a29,a53)))))),f18(a47,a2),a2)),
% 4.69/4.65 inference(scs_inference,[],[143,732,354,362,326,1468,347,344,152,1471,1568,384,386,372,373,351,242,181,381,1420,1442,356,254,1481,226,277,279,148,1513,1515,1517,389,209,298,159,1529,1554,359,163,286,1423,284,1465,1526,118,124,165,379,211,377,743,1272,752,765,1436,1439,860,1260,1542,961,1462,1339,1097,903,906,762,1482,1485,1502,1300,768,1429,1069,1536,737,741,912,1297,1175,1177,866,1248,1250,1052,520,519,579,551,711,690,689,669,668,453,451,446,691,603,602,487,561,609,566,564,549,654,614,529,707,640,610,547,583,716,695,452,459,490,455,571,639,6,441,694,589,514,512,511,493,492,488,528,95,93,90,89,532,608,714,550,664,663,667,634,569,678,530,675,605,568,708,659,641,628,554,546,545,646,706,657,709])).
% 4.69/4.65 cnf(1597,plain,
% 4.69/4.65 (P5(x15971,f22(f4(a19,f9(x15972,f13(f8(x15973,x15974,f30(x15971,x15975)),x15976,a2),a2))),a44)),
% 4.69/4.65 inference(scs_inference,[],[143,732,354,362,326,1468,347,344,152,1471,1568,384,386,372,373,351,242,181,381,1420,1442,356,254,1481,226,277,279,148,1513,1515,1517,389,209,298,159,1529,1554,359,163,286,1423,284,1465,1526,118,124,165,379,211,377,743,1272,752,765,1436,1439,860,1260,1542,961,1462,1339,1097,903,906,762,1482,1485,1502,1300,768,1429,1069,1536,737,741,912,1297,1175,1177,866,1248,1250,1052,520,519,579,551,711,690,689,669,668,453,451,446,691,603,602,487,561,609,566,564,549,654,614,529,707,640,610,547,583,716,695,452,459,490,455,571,639,6,441,694,589,514,512,511,493,492,488,528,95,93,90,89,532,608,714,550,664,663,667,634,569,678,530,675,605,568,708,659,641,628,554,546,545,646,706,657,709,25,587,491])).
% 4.69/4.65 cnf(1599,plain,
% 4.69/4.65 (~P7(f10(f40(a57,f4(a19,a47),a44),x15991,f46(a44,a1)),f22(f35(f46(a44,a1))),f46(a44,a1))),
% 4.69/4.65 inference(scs_inference,[],[143,732,354,362,326,1468,347,344,152,1471,1568,384,386,372,373,351,242,181,381,1420,1442,356,254,1481,226,277,279,148,1513,1515,1517,389,209,298,159,1529,1554,359,163,286,1423,284,1465,1526,118,124,165,379,211,377,743,1272,752,765,1436,1439,860,1260,1542,961,1462,1339,1097,903,906,762,1482,1485,1502,1300,768,1429,1069,1536,737,741,912,1297,1175,1177,866,1248,1250,1052,520,519,579,551,711,690,689,669,668,453,451,446,691,603,602,487,561,609,566,564,549,654,614,529,707,640,610,547,583,716,695,452,459,490,455,571,639,6,441,694,589,514,512,511,493,492,488,528,95,93,90,89,532,608,714,550,664,663,667,634,569,678,530,675,605,568,708,659,641,628,554,546,545,646,706,657,709,25,587,491,616])).
% 4.69/4.65 cnf(1607,plain,
% 4.69/4.65 (~P7(f13(x16071,f35(f46(a44,a1)),x16072),f15(f35(f46(a44,a1))),f46(a44,a1))),
% 4.69/4.65 inference(scs_inference,[],[143,732,354,156,362,326,1468,347,344,152,1471,1568,384,386,372,373,351,242,181,381,1420,1442,356,254,1481,226,277,279,148,1513,1515,1517,389,209,142,298,159,1529,1554,359,163,286,1423,284,1465,1526,118,124,165,379,211,377,743,1272,752,765,1436,1439,860,1260,1542,961,1462,1339,1097,903,906,762,1482,1485,1502,1300,768,1429,1069,1536,737,741,912,1297,1175,1177,866,1248,1250,1052,520,519,579,551,711,690,689,669,668,453,451,446,691,603,602,487,561,609,566,564,549,654,614,529,707,640,610,547,583,716,695,452,459,490,455,571,639,6,441,694,589,514,512,511,493,492,488,528,95,93,90,89,532,608,714,550,664,663,667,634,569,678,530,675,605,568,708,659,641,628,554,546,545,646,706,657,709,25,587,491,616,615,596,103,94])).
% 4.69/4.65 cnf(1610,plain,
% 4.69/4.65 (E(f9(x16101,f3(x16102),x16102),x16101)),
% 4.69/4.65 inference(rename_variables,[],[148])).
% 4.69/4.65 cnf(1619,plain,
% 4.69/4.65 (P5(x16191,f37(f46(x16192,a1)),x16192)),
% 4.69/4.65 inference(rename_variables,[],[169])).
% 4.69/4.65 cnf(1625,plain,
% 4.69/4.65 (~E(f39(f37(f46(x16251,a1)),x16252),f39(f35(f46(x16253,a1)),x16254))),
% 4.69/4.65 inference(scs_inference,[],[143,732,733,354,156,362,326,1468,347,344,152,1471,1568,384,386,372,373,351,182,242,181,381,1420,1442,356,254,1481,226,277,279,148,1513,1515,1517,1519,1610,389,209,229,142,298,159,1529,1554,359,1550,163,169,286,1423,284,1465,1526,118,124,165,379,1456,211,377,743,1272,752,765,1436,1439,860,1260,1542,961,1462,1339,1097,1336,903,906,762,1482,1485,1502,1300,768,1429,879,1069,1536,737,741,912,1297,1175,1177,866,1248,1250,1052,520,519,579,551,711,690,689,669,668,453,451,446,691,603,602,487,561,609,566,564,549,654,614,529,707,640,610,547,583,716,695,452,459,490,455,571,639,6,441,694,589,514,512,511,493,492,488,528,95,93,90,89,532,608,714,550,664,663,667,634,569,678,530,675,605,568,708,659,641,628,554,546,545,646,706,657,709,25,587,491,616,615,596,103,94,91,573,478,544,542,489,2,102,97])).
% 4.69/4.65 cnf(1630,plain,
% 4.69/4.65 (P5(x16301,f15(f40(f30(f27(x16302,x16301),f39(a29,f14(x16302))),x16303,a44)),a44)),
% 4.69/4.65 inference(scs_inference,[],[143,732,733,354,156,362,326,1468,347,344,152,1471,1568,384,386,372,373,351,182,242,181,381,1420,1442,356,254,1481,226,277,279,148,1513,1515,1517,1519,1610,237,389,209,229,142,298,159,1529,1554,359,1550,163,169,286,1423,284,1465,1526,118,120,124,165,379,1456,211,377,743,1272,752,765,1436,1439,860,1260,1542,961,1462,1288,1339,1097,1336,903,906,762,1482,1485,1502,1300,768,1429,879,1069,1536,737,741,912,1297,1175,1177,866,1248,1250,1052,520,519,579,551,711,690,689,669,668,453,451,446,691,603,602,487,561,609,566,564,549,654,614,529,707,640,610,547,583,716,695,452,459,490,455,571,639,6,441,694,589,514,512,511,493,492,488,528,95,93,90,89,532,608,714,550,664,663,667,634,569,678,530,675,605,568,708,659,641,628,554,546,545,646,706,657,709,25,587,491,616,615,596,103,94,91,573,478,544,542,489,2,102,97,3,100,87,584])).
% 4.69/4.65 cnf(1632,plain,
% 4.69/4.65 (~P5(f26(f30(f39(a29,a53),x16321)),f21(f15(f35(f46(a44,a1)))),a44)),
% 4.69/4.65 inference(scs_inference,[],[143,732,733,354,156,362,326,1468,347,344,152,1471,1568,384,386,372,373,351,182,242,181,381,1420,1442,356,254,1481,226,277,279,148,1513,1515,1517,1519,1610,237,389,209,229,142,298,159,1529,1554,359,1550,163,169,286,1423,284,1465,1526,118,120,124,165,379,1456,211,377,743,1272,752,765,1436,1439,860,1260,1542,961,1462,1288,1339,1097,1336,903,906,762,1482,1485,1502,1300,768,1429,879,1069,1536,737,741,1393,912,1297,1175,1177,866,1248,1250,1052,520,519,579,551,711,690,689,669,668,453,451,446,691,603,602,487,561,609,566,564,549,654,614,529,707,640,610,547,583,716,695,452,459,490,455,571,639,6,441,694,589,514,512,511,493,492,488,528,95,93,90,89,532,608,714,550,664,663,667,634,569,678,530,675,605,568,708,659,641,628,554,546,545,646,706,657,709,25,587,491,616,615,596,103,94,91,573,478,544,542,489,2,102,97,3,100,87,584,604])).
% 4.69/4.65 cnf(1643,plain,
% 4.69/4.65 (~P7(f40(f26(x16431),f41(a29,f13(x16432,f35(f46(a45,a1)),x16433),a45,a44),a44),f40(f26(x16431),f35(f46(a44,a1)),a44),f46(a44,a1))),
% 4.69/4.65 inference(scs_inference,[],[143,732,733,354,156,362,326,1468,347,344,152,1471,1568,384,386,372,373,351,182,242,181,381,1420,1442,356,254,1481,226,277,279,148,1513,1515,1517,1519,1610,237,389,209,229,142,298,159,1529,1554,359,1550,157,163,169,1619,286,1423,370,284,1465,1526,118,120,124,165,379,1456,211,377,743,1272,752,765,1436,1439,860,1260,1542,961,1462,1478,1288,1339,1097,1336,897,903,906,762,1482,1485,1502,1300,768,1429,879,1069,1536,737,741,1393,912,1297,1175,1177,866,1248,1250,1052,520,519,579,551,711,690,689,669,668,453,451,446,691,603,602,487,561,609,566,564,549,654,614,529,707,640,610,547,583,716,695,452,459,490,455,571,639,6,441,694,589,514,512,511,493,492,488,528,95,93,90,89,532,608,714,550,664,663,667,634,569,678,530,675,605,568,708,659,641,628,554,546,545,646,706,657,709,25,587,491,616,615,596,103,94,91,573,478,544,542,489,2,102,97,3,100,87,584,604,543,538,515,642])).
% 4.69/4.65 cnf(1650,plain,
% 4.69/4.65 (~P7(f15(f13(x16501,f35(f46(a44,a1)),x16502)),f15(f35(f46(a44,a1))),f46(a44,a1))),
% 4.69/4.65 inference(scs_inference,[],[143,732,733,354,156,362,326,1468,347,344,152,1471,1568,384,386,372,373,351,182,242,181,381,1420,1442,356,254,1481,226,277,279,148,1513,1515,1517,1519,1610,237,389,209,229,142,298,159,1529,1554,359,1550,157,163,1553,169,1619,176,286,1423,370,284,1465,1526,118,120,124,165,379,1456,211,377,743,1272,752,765,1436,1439,860,1260,1542,961,1462,1478,963,1288,1339,1097,1336,897,903,906,762,1482,1485,1502,1300,768,1429,879,1069,1536,737,741,1393,912,1297,1175,1177,866,1248,1250,1052,520,519,579,551,711,690,689,669,668,453,451,446,691,603,602,487,561,609,566,564,549,654,614,529,707,640,610,547,583,716,695,452,459,490,455,571,639,6,441,694,589,514,512,511,493,492,488,528,95,93,90,89,532,608,714,550,664,663,667,634,569,678,530,675,605,568,708,659,641,628,554,546,545,646,706,657,709,25,587,491,616,615,596,103,94,91,573,478,544,542,489,2,102,97,3,100,87,584,604,543,538,515,642,482,607,513])).
% 4.69/4.65 cnf(1664,plain,
% 4.69/4.65 (P5(f13(f8(a19,x16641,f24(x16642)),a47,a2),a36,f43(a2))),
% 4.69/4.65 inference(scs_inference,[],[143,732,733,354,156,362,326,1468,347,344,152,1471,1568,1588,384,386,372,373,351,182,242,181,180,381,1420,1442,356,254,1481,1543,226,1443,277,279,297,148,1513,1515,1517,1519,1610,237,389,209,229,142,298,159,1529,1554,359,1550,157,163,1553,169,1619,176,286,1423,370,284,1465,1526,118,120,124,165,221,379,1456,211,377,745,743,1272,752,765,1436,1439,860,1260,1542,951,961,1462,1478,963,1288,1339,1097,1336,897,903,906,762,1482,1485,1502,1300,768,1429,879,1069,1536,737,741,1393,912,1297,1175,1177,866,1248,1250,1052,520,519,579,551,711,690,689,669,668,453,451,446,691,603,602,487,561,609,566,564,549,654,614,529,707,640,610,547,583,716,695,452,459,490,455,571,639,6,441,694,589,514,512,511,493,492,488,528,95,93,90,89,532,608,714,550,664,663,667,634,569,678,530,675,605,568,708,659,641,628,554,546,545,646,706,657,709,25,587,491,616,615,596,103,94,91,573,478,544,542,489,2,102,97,3,100,87,584,604,543,538,515,642,482,607,513,537,496,558,527,526,656])).
% 4.69/4.65 cnf(1687,plain,
% 4.69/4.65 (~P5(f27(f39(f38(x16871),x16872),f39(a29,f39(a34,a49))),f15(f40(f39(a29,f14(f39(f38(x16871),x16872))),f4(a19,a47),a44)),a44)),
% 4.69/4.65 inference(scs_inference,[],[1403,762,584])).
% 4.69/4.65 cnf(1690,plain,
% 4.69/4.65 (P5(f39(a29,f39(a34,a19)),f15(f4(a19,f3(a2))),a44)),
% 4.69/4.65 inference(scs_inference,[],[144,140,1403,762,584,586])).
% 4.69/4.65 cnf(1693,plain,
% 4.69/4.65 (P5(x16931,f15(f40(f30(x16931,x16932),x16933,a44)),a44)),
% 4.69/4.65 inference(rename_variables,[],[1501])).
% 4.69/4.65 cnf(1694,plain,
% 4.69/4.65 (P5(x16941,f15(f40(f30(x16942,x16941),x16943,a44)),a44)),
% 4.69/4.65 inference(rename_variables,[],[1504])).
% 4.69/4.65 cnf(1699,plain,
% 4.69/4.65 (~P5(f27(f39(f38(x16991),x16992),f39(a29,f39(a34,a49))),f15(f4(a19,a47)),a44)),
% 4.69/4.65 inference(scs_inference,[],[144,140,1632,1501,1504,1403,762,741,584,586,624,604,591])).
% 4.69/4.65 cnf(1708,plain,
% 4.69/4.65 (P5(x17081,f11(f9(x17082,f13(f7(x17083,f30(x17084,x17081)),x17085,a2),a2)),a44)),
% 4.69/4.65 inference(rename_variables,[],[1428])).
% 4.69/4.65 cnf(1714,plain,
% 4.69/4.65 (P5(x17141,f15(f4(a19,f9(x17142,f13(f8(x17143,x17144,x17141),x17145,a2),a2))),a44)),
% 4.69/4.65 inference(rename_variables,[],[1422])).
% 4.69/4.65 cnf(1717,plain,
% 4.69/4.65 (P9(f46(x17171,a1))),
% 4.69/4.65 inference(rename_variables,[],[961])).
% 4.69/4.65 cnf(1720,plain,
% 4.69/4.65 (P9(f46(x17201,a1))),
% 4.69/4.65 inference(rename_variables,[],[961])).
% 4.69/4.65 cnf(1722,plain,
% 4.69/4.65 (~P5(f27(x17221,x17222),f22(f10(f22(f4(x17223,f3(a2))),f22(f4(x17223,f3(a2))),f46(a44,a1))),a44)),
% 4.69/4.65 inference(scs_inference,[],[278,279,352,144,140,1445,1328,1632,1501,1504,1428,1587,1403,1422,771,786,762,741,961,1717,584,586,624,604,591,453,603,602,487,561,609,566,564,549])).
% 4.69/4.65 cnf(1726,plain,
% 4.69/4.65 (P5(x17261,f22(f4(a19,f9(x17262,f13(f8(x17263,x17264,x17261),x17265,a2),a2))),a44)),
% 4.69/4.65 inference(rename_variables,[],[1425])).
% 4.69/4.65 cnf(1727,plain,
% 4.69/4.65 (~E(f23(x17271),f27(x17272,x17273))),
% 4.69/4.65 inference(rename_variables,[],[328])).
% 4.69/4.65 cnf(1730,plain,
% 4.69/4.65 (P5(x17301,f15(f40(f30(x17301,x17302),x17303,a44)),a44)),
% 4.69/4.65 inference(rename_variables,[],[1501])).
% 4.69/4.65 cnf(1737,plain,
% 4.69/4.65 (~P5(f27(f39(a34,a20),f30(f28(x17371),f30(f24(x17372),f30(f39(a29,x17373),f39(a29,a53))))),f22(f4(a19,a47)),a44)),
% 4.69/4.65 inference(scs_inference,[],[328,371,278,279,352,144,157,140,1591,1445,1328,1632,1501,1693,1504,1694,1428,1587,1403,1422,1425,1415,771,786,743,762,741,961,1717,143,584,586,624,604,591,453,603,602,487,561,609,566,564,549,695,606,551,711])).
% 4.69/4.65 cnf(1742,plain,
% 4.69/4.65 (P5(x17421,f22(f4(a19,f9(x17422,f13(f8(x17423,x17424,f30(x17425,x17421)),x17426,a2),a2))),a44)),
% 4.69/4.65 inference(scs_inference,[],[328,371,278,381,279,352,144,157,140,1591,1445,1328,1632,1501,1693,1504,1694,1428,1587,1403,1422,1425,1726,1415,771,786,743,762,741,961,1717,143,584,586,624,604,591,453,603,602,487,561,609,566,564,549,695,606,551,711,452,490])).
% 4.69/4.65 cnf(1743,plain,
% 4.69/4.65 (P5(x17431,f22(f4(a19,f9(x17432,f13(f8(x17433,x17434,x17431),x17435,a2),a2))),a44)),
% 4.69/4.65 inference(rename_variables,[],[1425])).
% 4.69/4.65 cnf(1747,plain,
% 4.69/4.65 (P5(x17471,f15(f4(a19,f9(x17472,f13(f8(x17473,x17474,f27(f39(a34,a19),x17471)),x17475,a2),a2))),a44)),
% 4.69/4.65 inference(scs_inference,[],[328,371,278,381,279,352,144,157,140,1591,1445,1328,1632,1501,1693,1504,1694,1428,1587,1403,1422,1714,1425,1726,1415,771,786,743,762,741,961,1717,143,584,586,624,604,591,453,603,602,487,561,609,566,564,549,695,606,551,711,452,490,585,622])).
% 4.69/4.65 cnf(1754,plain,
% 4.69/4.65 (P5(x17541,f15(f40(f30(f30(x17542,x17541),x17543),x17544,a44)),a44)),
% 4.69/4.65 inference(scs_inference,[],[328,371,183,278,381,279,352,144,157,140,1455,1591,1445,1328,1632,1501,1693,1730,1504,1694,1428,1587,1403,1422,1714,1425,1726,1415,771,786,743,762,741,961,1717,143,584,586,624,604,591,453,603,602,487,561,609,566,564,549,695,606,551,711,452,490,585,622,451,446,492])).
% 4.69/4.65 cnf(1755,plain,
% 4.69/4.65 (P5(x17551,f15(f40(f30(x17551,x17552),x17553,a44)),a44)),
% 4.69/4.65 inference(rename_variables,[],[1501])).
% 4.69/4.65 cnf(1758,plain,
% 4.69/4.65 (P5(f39(x17581,x17582),f41(x17581,f37(f46(x17583,a1)),x17583,x17584),x17584)),
% 4.69/4.65 inference(rename_variables,[],[284])).
% 4.69/4.65 cnf(1760,plain,
% 4.69/4.65 (P5(f27(a53,f30(f28(a56),f28(a56))),f22(f4(a19,a47)),a44)),
% 4.69/4.65 inference(scs_inference,[],[328,371,183,278,381,279,352,144,284,157,140,1455,1591,1445,1283,1328,1632,1501,1693,1730,1504,1694,1428,1587,1403,1422,1714,1425,1726,1415,771,1664,786,743,762,741,961,1717,143,584,586,624,604,591,453,603,602,487,561,609,566,564,549,695,606,551,711,452,490,585,622,451,446,492,714,654])).
% 4.69/4.65 cnf(1763,plain,
% 4.69/4.65 (P5(x17631,f18(f9(x17632,f13(x17631,x17633,x17634),x17634),x17634),x17634)),
% 4.69/4.65 inference(rename_variables,[],[286])).
% 4.69/4.65 cnf(1768,plain,
% 4.69/4.65 (P7(f35(f46(x17681,a1)),x17682,f46(x17681,a1))),
% 4.69/4.65 inference(rename_variables,[],[177])).
% 4.69/4.65 cnf(1770,plain,
% 4.69/4.65 (~P7(f40(x17701,f10(f40(a57,f4(a19,a47),a44),x17702,f46(a44,a1)),a44),f22(f35(f46(a44,a1))),f46(a44,a1))),
% 4.69/4.65 inference(scs_inference,[],[245,328,371,183,357,278,198,177,182,381,279,352,144,286,284,157,379,140,1455,1599,1591,1445,1283,1328,1632,1501,1693,1730,1504,1694,1428,1587,1403,1422,1714,1425,1726,1415,771,1664,786,743,951,762,741,961,1717,143,584,586,624,604,591,453,603,602,487,561,609,566,564,549,695,606,551,711,452,490,585,622,451,446,492,714,654,707,496,605,527])).
% 4.69/4.65 cnf(1776,plain,
% 4.69/4.65 (P5(x17761,f18(f9(x17762,f13(x17761,x17763,x17764),x17764),x17764),x17764)),
% 4.69/4.65 inference(rename_variables,[],[286])).
% 4.69/4.65 cnf(1780,plain,
% 4.69/4.65 (P5(x17801,f22(f40(x17801,x17802,a44)),a44)),
% 4.69/4.65 inference(scs_inference,[],[245,328,371,183,357,253,278,198,177,182,381,279,352,144,301,286,1763,284,157,379,140,1455,1599,1591,1445,1283,1328,1632,1501,1693,1730,1504,1694,1428,1587,1403,1422,1714,1425,1726,1415,771,1664,786,743,951,762,741,961,1717,1720,143,584,586,624,604,591,453,603,602,487,561,609,566,564,549,695,606,551,711,452,490,585,622,451,446,492,714,654,707,496,605,527,583,691,589,587])).
% 4.69/4.65 cnf(1788,plain,
% 4.69/4.65 (~E(f13(x17881,x17882,x17883),x17882)),
% 4.69/4.65 inference(rename_variables,[],[359])).
% 4.69/4.65 cnf(1789,plain,
% 4.69/4.65 (P5(x17891,f18(f9(x17892,f13(x17891,x17893,x17894),x17894),x17894),x17894)),
% 4.69/4.65 inference(rename_variables,[],[286])).
% 4.69/4.65 cnf(1793,plain,
% 4.69/4.65 (P5(x17931,f15(f40(f30(x17931,x17932),x17933,a44)),a44)),
% 4.69/4.65 inference(rename_variables,[],[1501])).
% 4.69/4.65 cnf(1795,plain,
% 4.69/4.65 (~P5(f27(x17951,x17952),f15(f4(x17953,f3(a2))),a44)),
% 4.69/4.65 inference(scs_inference,[],[245,328,371,183,357,253,278,198,177,1768,182,381,279,352,144,301,359,286,1763,1776,284,157,379,211,140,1163,1455,1599,1591,1445,1283,1328,1632,1501,1693,1730,1755,1504,1694,1428,1587,1403,1422,1714,1425,1726,1415,771,1664,786,743,951,762,741,961,1717,1720,143,584,586,624,604,591,453,603,602,487,561,609,566,564,549,695,606,551,711,452,490,585,622,451,446,492,714,654,707,496,605,527,583,691,589,587,607,550,530,657,459])).
% 4.69/4.65 cnf(1810,plain,
% 4.69/4.65 (P5(x18101,f37(f46(x18102,a1)),x18103)),
% 4.69/4.65 inference(scs_inference,[],[245,328,371,183,357,253,278,198,177,1768,351,182,381,279,352,144,150,301,359,163,286,1763,1776,284,157,379,211,140,377,1163,1455,1599,1591,1445,1283,1328,1632,1501,1693,1730,1755,1504,1694,1630,1428,1587,1403,1422,1714,1425,1726,1415,771,1664,786,743,951,762,741,961,1717,1720,143,584,586,624,604,591,453,603,602,487,561,609,566,564,549,695,606,551,711,452,490,585,622,451,446,492,714,654,707,496,605,527,583,691,589,587,607,550,530,657,459,513,596,639,544,6,441])).
% 4.69/4.65 cnf(1816,plain,
% 4.69/4.65 (P7(f18(x18161,x18162),f18(f13(x18163,x18161,x18162),x18162),f46(x18162,a1))),
% 4.69/4.65 inference(rename_variables,[],[244])).
% 4.69/4.65 cnf(1819,plain,
% 4.69/4.65 (P7(x18191,f10(x18192,x18191,f46(x18193,a1)),f46(x18193,a1))),
% 4.69/4.65 inference(rename_variables,[],[217])).
% 4.69/4.65 cnf(1826,plain,
% 4.69/4.65 (P7(x18261,f10(x18262,x18261,f46(x18263,a1)),f46(x18263,a1))),
% 4.69/4.65 inference(rename_variables,[],[217])).
% 4.69/4.65 cnf(1828,plain,
% 4.69/4.65 (P5(f39(x18281,f8(a48,a20,f30(f24(a48),f30(f24(a50),f28(a52))))),f10(x18282,f41(x18281,f18(a47,a2),a2,x18283),f46(x18283,a1)),x18283)),
% 4.69/4.65 inference(scs_inference,[],[245,328,371,183,357,253,278,132,141,244,198,217,1819,1826,177,1768,351,182,381,279,352,144,150,383,301,359,163,286,1763,1776,284,157,379,211,140,377,1163,1455,1029,1599,1591,1445,1283,1328,1632,1501,1693,1730,1755,1504,1694,1630,1428,1708,1587,1403,1422,1714,1425,1726,1415,771,1664,786,743,951,762,741,961,1717,1720,143,584,586,624,604,591,453,603,602,487,561,609,566,564,549,695,606,551,711,452,490,585,622,451,446,492,714,654,707,496,605,527,583,691,589,587,607,550,530,657,459,513,596,639,544,6,441,488,95,93,90,667,569,678])).
% 4.69/4.65 cnf(1829,plain,
% 4.69/4.65 (P7(x18291,f10(x18292,x18291,f46(x18293,a1)),f46(x18293,a1))),
% 4.69/4.65 inference(rename_variables,[],[217])).
% 4.69/4.65 cnf(1831,plain,
% 4.69/4.65 (~P5(f9(x18311,f13(f28(x18312),x18313,a44),a44),f17(f41(a29,x18314,a45,a44),a44),f43(a44))),
% 4.69/4.65 inference(scs_inference,[],[245,328,385,371,183,357,253,278,132,141,244,198,217,1819,1826,177,1768,351,182,381,279,352,144,150,383,301,359,163,286,1763,1776,1789,284,157,379,211,140,377,1163,1455,1029,1599,1591,1445,1283,1328,1632,1501,1693,1730,1755,1504,1694,1630,1428,1708,1587,1403,1422,1714,1425,1726,1415,771,1664,786,743,951,762,741,961,1717,1720,143,584,586,624,604,591,453,603,602,487,561,609,566,564,549,695,606,551,711,452,490,585,622,451,446,492,714,654,707,496,605,527,583,691,589,587,607,550,530,657,459,513,596,639,544,6,441,488,95,93,90,667,569,678,568])).
% 4.69/4.65 cnf(1832,plain,
% 4.69/4.65 (P5(x18321,f18(f9(x18322,f13(x18321,x18323,x18324),x18324),x18324),x18324)),
% 4.69/4.65 inference(rename_variables,[],[286])).
% 4.69/4.65 cnf(1839,plain,
% 4.69/4.65 (P5(x18391,f22(f4(a19,f9(x18392,f13(f8(x18393,x18394,x18391),x18395,a2),a2))),a44)),
% 4.69/4.65 inference(rename_variables,[],[1425])).
% 4.69/4.65 cnf(1844,plain,
% 4.69/4.65 (P5(x18441,f15(f40(f30(f30(x18441,x18442),x18443),x18444,a44)),a44)),
% 4.69/4.65 inference(scs_inference,[],[245,328,1727,385,371,183,357,253,278,132,141,244,198,217,1819,1826,177,1768,351,182,381,226,279,352,144,150,383,301,359,163,286,1763,1776,1789,1832,284,1758,157,379,211,140,377,1163,1455,1029,1599,1591,1445,1283,1328,1632,1501,1693,1730,1755,1793,1504,1694,1630,1428,1708,1587,1403,1422,1714,1425,1726,1743,1415,771,1664,786,743,951,762,741,961,1717,1720,143,584,586,624,604,591,453,603,602,487,561,609,566,564,549,695,606,551,711,452,490,585,622,451,446,492,714,654,707,496,605,527,583,691,589,587,607,550,530,657,459,513,596,639,544,6,441,488,95,93,90,667,569,678,568,708,706,512,493])).
% 4.69/4.65 cnf(1857,plain,
% 4.69/4.65 (P7(x18571,f21(f21(f21(x18571))),f46(a44,a1))),
% 4.69/4.65 inference(scs_inference,[],[245,328,1727,385,371,183,357,253,278,132,141,244,224,198,217,1819,1826,1829,177,1768,351,182,381,226,279,352,144,150,383,301,359,1788,163,176,286,1763,1776,1789,1832,284,1758,157,379,211,140,353,377,1167,1163,1455,1029,1599,1591,1445,1283,1328,1632,1501,1693,1730,1755,1793,1504,1694,1630,1428,1708,1587,1403,1422,1714,1425,1726,1743,1839,1415,771,1664,786,743,951,762,741,961,1717,1720,143,584,586,624,604,591,453,603,602,487,561,609,566,564,549,695,606,551,711,452,490,585,622,451,446,492,714,654,707,496,605,527,583,691,589,587,607,550,530,657,459,513,596,639,544,6,441,488,95,93,90,667,569,678,568,708,706,512,493,94,532,608,511])).
% 4.69/4.65 cnf(1870,plain,
% 4.69/4.65 (P5(f30(f28(a54),f30(f24(a51),f30(f39(a29,a53),a58))),f22(f40(a57,f4(a19,a47),a44)),a44)),
% 4.69/4.65 inference(scs_inference,[],[245,328,1727,385,371,183,357,253,278,280,132,141,244,1816,224,198,217,1819,1826,1829,177,1768,351,182,381,226,279,352,144,150,383,301,359,1788,163,176,286,1763,1776,1789,1832,284,1758,298,157,379,211,140,353,377,1167,1163,1455,1029,1599,1591,1445,1283,1328,1632,1501,1693,1730,1755,1793,1504,1694,1630,1428,1708,1587,1403,1422,1714,1425,1726,1743,1839,1597,1415,771,1664,786,743,951,762,741,961,1717,1720,143,584,586,624,604,591,453,603,602,487,561,609,566,564,549,695,606,551,711,452,490,585,622,451,446,492,714,654,707,496,605,527,583,691,589,587,607,550,530,657,459,513,596,639,544,6,441,488,95,93,90,667,569,678,568,708,706,512,493,94,532,608,511,491,616,615,542,489])).
% 4.69/4.65 cnf(1926,plain,
% 4.69/4.65 (~P5(f27(f39(a34,a49),f30(f28(a54),f30(f24(a51),f30(f39(a29,a53),a58)))),f22(f4(a19,a47)),a44)),
% 4.69/4.65 inference(scs_inference,[],[1760,1387])).
% 4.69/4.65 cnf(1929,plain,
% 4.69/4.65 (P5(f23(x19291),f21(x19292),a44)),
% 4.69/4.65 inference(rename_variables,[],[150])).
% 4.69/4.65 cnf(1931,plain,
% 4.69/4.65 (P5(x19311,f15(f40(f30(f30(f27(x19312,x19311),f39(a29,f14(x19312))),x19313),x19314,a44)),a44)),
% 4.69/4.65 inference(scs_inference,[],[150,1780,1754,1844,679,584])).
% 4.69/4.65 cnf(1932,plain,
% 4.69/4.65 (P5(x19321,f15(f40(f30(f30(x19322,x19321),x19323),x19324,a44)),a44)),
% 4.69/4.65 inference(rename_variables,[],[1754])).
% 4.69/4.65 cnf(1933,plain,
% 4.69/4.65 (P5(x19331,f15(f40(f30(f30(x19331,x19332),x19333),x19334,a44)),a44)),
% 4.69/4.65 inference(rename_variables,[],[1844])).
% 4.69/4.65 cnf(1935,plain,
% 4.69/4.65 (P5(x19351,f15(f40(f30(f30(f39(a29,f39(a34,x19352)),f27(f39(a34,x19352),x19351)),x19353),x19354,a44)),a44)),
% 4.69/4.65 inference(scs_inference,[],[150,1780,1754,1932,1844,1933,679,584,624])).
% 4.69/4.65 cnf(1936,plain,
% 4.69/4.65 (P5(x19361,f15(f40(f30(f30(x19362,x19361),x19363),x19364,a44)),a44)),
% 4.69/4.65 inference(rename_variables,[],[1754])).
% 4.69/4.65 cnf(1937,plain,
% 4.69/4.65 (P5(x19371,f15(f40(f30(f30(x19371,x19372),x19373),x19374,a44)),a44)),
% 4.69/4.65 inference(rename_variables,[],[1844])).
% 4.69/4.65 cnf(1939,plain,
% 4.69/4.65 (~P5(f30(x19391,f27(x19392,x19393)),f11(f3(a2)),a44)),
% 4.69/4.65 inference(scs_inference,[],[373,150,1780,1754,1932,1844,1933,679,584,624,487])).
% 4.69/4.65 cnf(1941,plain,
% 4.69/4.65 (~P5(f39(a29,f39(a34,a20)),f15(f4(a19,f3(a2))),a44)),
% 4.69/4.65 inference(scs_inference,[],[373,150,144,352,1780,1754,1932,1844,1933,679,584,624,487,609])).
% 4.69/4.65 cnf(1943,plain,
% 4.69/4.65 (~P7(f10(f13(x19431,f35(f46(a44,a1)),x19432),x19433,f46(a44,a1)),f15(f35(f46(a44,a1))),f46(a44,a1))),
% 4.69/4.65 inference(scs_inference,[],[373,150,144,352,1607,1780,1754,1932,1844,1933,961,679,584,624,487,609,566])).
% 4.69/4.65 cnf(1944,plain,
% 4.69/4.65 (P9(f46(x19441,a1))),
% 4.69/4.65 inference(rename_variables,[],[961])).
% 4.69/4.65 cnf(1950,plain,
% 4.69/4.65 (P5(x19501,f22(f4(a19,f9(x19502,f13(f8(x19503,x19504,f30(x19505,x19501)),x19506,a2),a2))),a44)),
% 4.69/4.65 inference(rename_variables,[],[1742])).
% 4.69/4.65 cnf(1956,plain,
% 4.69/4.65 (P5(f30(f24(a48),f30(f24(a50),f28(a52))),f15(f4(a19,a47)),a44)),
% 4.69/4.65 inference(scs_inference,[],[245,330,373,150,144,352,1607,1464,1780,1754,1932,1844,1933,1742,961,1944,143,679,584,624,487,609,566,564,695,711,603])).
% 4.69/4.65 cnf(1967,plain,
% 4.69/4.65 (P5(f24(x19671),f15(f40(x19672,f21(x19673),a44)),a44)),
% 4.69/4.65 inference(scs_inference,[],[245,330,189,136,373,150,381,152,144,352,1607,1413,1464,1780,1754,1932,1844,1933,1742,961,1944,143,679,584,624,487,609,566,564,695,711,603,490,561,453,460,591])).
% 4.69/4.65 cnf(1970,plain,
% 4.69/4.65 (P5(f23(x19701),f21(x19702),a44)),
% 4.69/4.65 inference(rename_variables,[],[150])).
% 4.69/4.65 cnf(1976,plain,
% 4.69/4.65 (P15(f39(f10(f37(f46(x19761,a1)),x19762,f46(x19763,a1)),x19764))),
% 4.69/4.65 inference(scs_inference,[],[245,330,189,218,136,378,373,150,1929,182,381,152,144,352,1093,1607,1413,1464,1458,1780,1754,1932,1844,1933,1742,961,1944,143,679,584,624,487,609,566,564,695,711,603,490,561,453,460,591,638,492,654,496])).
% 4.69/4.65 cnf(1983,plain,
% 4.69/4.65 (P5(x19831,f15(f40(f30(f30(x19832,x19831),x19833),x19834,a44)),a44)),
% 4.69/4.65 inference(rename_variables,[],[1754])).
% 4.69/4.65 cnf(1987,plain,
% 4.69/4.65 (P5(x19871,f15(f4(a19,f9(x19872,f13(f8(x19873,x19874,f27(f39(a34,a19),f27(f39(a34,a19),x19871))),x19875,a2),a2))),a44)),
% 4.69/4.65 inference(scs_inference,[],[245,330,189,390,166,218,136,378,373,150,1929,182,381,152,144,352,157,140,1093,1607,1413,1464,1458,1780,1754,1932,1936,1844,1933,1937,1747,1742,961,1944,143,679,584,624,487,609,566,564,695,711,603,490,561,453,460,591,638,492,654,496,605,606,587,622])).
% 4.69/4.65 cnf(1990,plain,
% 4.69/4.65 (P15(f39(f18(a47,a2),f8(a48,a20,f30(f24(a48),f30(f24(a50),f28(a52))))))),
% 4.69/4.65 inference(scs_inference,[],[245,330,189,390,166,218,136,378,373,150,1929,182,381,152,144,352,157,140,1093,1607,1413,1464,1458,1780,1754,1932,1936,1844,1933,1937,1747,1742,961,1944,143,679,584,624,487,609,566,564,695,711,603,490,561,453,460,591,638,492,654,496,605,606,587,622,446])).
% 4.69/4.65 cnf(1996,plain,
% 4.69/4.65 (~P7(f4(a19,a47),f22(f35(f46(a44,a1))),f46(a44,a1))),
% 4.69/4.65 inference(scs_inference,[],[245,330,189,390,166,218,136,382,378,373,150,1929,182,381,152,144,352,157,140,1093,1607,1252,1413,1464,1458,1780,1754,1932,1936,1844,1933,1937,1747,1742,1523,961,1944,143,679,584,624,487,609,566,564,695,711,603,490,561,453,460,591,638,492,654,496,605,606,587,622,446,691,602,549])).
% 4.69/4.65 cnf(2000,plain,
% 4.69/4.65 (P7(x20001,f21(x20001),f46(a44,a1))),
% 4.69/4.65 inference(rename_variables,[],[161])).
% 4.69/4.65 cnf(2008,plain,
% 4.69/4.65 (P5(x20081,f15(f40(f30(f30(x20082,x20081),x20083),x20084,a44)),a44)),
% 4.69/4.65 inference(rename_variables,[],[1754])).
% 4.69/4.65 cnf(2019,plain,
% 4.69/4.65 (P5(x20191,f18(f9(x20192,f13(x20191,x20193,x20194),x20194),x20194),x20194)),
% 4.69/4.65 inference(rename_variables,[],[286])).
% 4.69/4.65 cnf(2022,plain,
% 4.69/4.65 (~P15(f39(f41(f38(x20221),x20222,a42,a45),f14(f39(f38(x20223),x20224))))),
% 4.69/4.65 inference(scs_inference,[],[245,330,189,390,166,213,218,136,161,382,378,373,150,1929,1970,286,2019,182,381,152,144,165,352,157,140,1093,1607,1252,1413,1464,1458,1780,1754,1932,1936,1983,1844,1933,1937,1747,1742,1523,1323,1650,951,961,1944,143,679,584,624,487,609,566,564,695,711,603,490,561,453,460,591,638,492,654,496,605,606,587,622,446,691,602,549,527,513,452,639,623,451,544,91,89,441])).
% 4.69/4.65 cnf(2026,plain,
% 4.69/4.65 (P7(x20261,f40(x20262,x20261,x20263),f46(x20263,a1))),
% 4.69/4.65 inference(rename_variables,[],[198])).
% 4.69/4.65 cnf(2045,plain,
% 4.69/4.65 (~P5(f30(f30(x20451,f39(a29,a53)),x20452),f21(f15(f40(f39(a29,f39(f38(x20453),x20454)),f4(a19,a47),a44))),a44)),
% 4.69/4.65 inference(scs_inference,[],[245,330,189,390,166,213,218,252,136,161,2000,198,2026,382,378,373,150,1929,1970,286,2019,182,381,152,144,165,352,157,140,1093,1607,1514,1252,1413,1464,1458,1780,1754,1932,1936,1983,2008,1844,1933,1937,1747,1742,1484,1523,781,1323,1650,951,961,1944,143,679,584,624,487,609,566,564,695,711,603,490,561,453,460,591,638,492,654,496,605,606,587,622,446,691,602,549,527,513,452,639,623,451,544,91,89,441,569,678,459,589,596,491,616,615,614,657])).
% 4.69/4.65 cnf(2050,plain,
% 4.69/4.65 (P7(x20501,f10(x20501,x20502,f46(x20503,a1)),f46(x20503,a1))),
% 4.69/4.65 inference(rename_variables,[],[218])).
% 4.69/4.65 cnf(2055,plain,
% 4.69/4.65 (~P5(f27(x20551,f27(f39(a34,a20),f30(f28(x20552),f30(f24(x20553),f30(f39(a29,x20554),f39(a29,a53)))))),f22(f4(a19,a47)),a44)),
% 4.69/4.65 inference(scs_inference,[],[245,330,189,390,166,213,218,252,136,161,2000,198,2026,382,378,373,150,1929,1970,286,2019,182,381,152,144,165,352,157,211,140,1810,1093,1607,1514,1252,1413,1464,1458,1737,1780,1754,1932,1936,1983,2008,1844,1933,1937,1747,1742,1484,1523,781,1323,1650,951,741,961,1944,143,679,584,624,487,609,566,564,695,711,603,490,561,453,460,591,638,492,654,496,605,606,587,622,446,691,602,549,527,513,452,639,623,451,544,91,89,441,569,678,459,589,596,491,616,615,614,657,542,550,489])).
% 4.69/4.65 cnf(2072,plain,
% 4.69/4.65 (P5(f27(f39(a34,a49),f30(f28(a54),f30(f24(a51),f30(f39(a29,a53),a58)))),f22(f10(f4(a19,a47),f4(a19,a47),f46(a44,a1))),a44)),
% 4.69/4.65 inference(scs_inference,[],[245,330,189,390,166,213,218,2050,252,136,161,2000,198,2026,382,378,373,150,1929,1970,286,2019,182,298,381,152,144,165,352,157,211,140,1810,1093,1607,1514,1770,1252,750,1413,1464,1458,1737,1780,1754,1932,1936,1983,2008,1844,1933,1937,1747,1742,1950,1484,1523,781,1323,1650,743,951,741,961,1944,143,679,584,624,487,609,566,564,695,711,603,490,561,453,460,591,638,492,654,496,605,606,587,622,446,691,602,549,527,513,452,639,623,451,544,91,89,441,569,678,459,589,596,491,616,615,614,657,542,550,489,488,93,568,6,512,493,608,667])).
% 4.69/4.65 cnf(2131,plain,
% 4.69/4.65 (~P5(f30(x21311,f30(x21312,f27(x21313,x21314))),f11(f3(a2)),a44)),
% 4.69/4.65 inference(scs_inference,[],[739,735,1941,1687,1939,1699,762,1250,584,506,624,432,603,487])).
% 4.69/4.65 cnf(2134,plain,
% 4.69/4.65 (P5(f39(x21341,x21342),f41(x21341,f37(f46(x21343,a1)),x21343,x21344),x21344)),
% 4.69/4.65 inference(rename_variables,[],[284])).
% 4.69/4.65 cnf(2137,plain,
% 4.69/4.65 (P9(f46(x21371,a1))),
% 4.69/4.65 inference(rename_variables,[],[961])).
% 4.69/4.65 cnf(2138,plain,
% 4.69/4.65 (P7(x21381,f10(x21382,x21381,f46(x21383,a1)),f46(x21383,a1))),
% 4.69/4.65 inference(rename_variables,[],[217])).
% 4.69/4.65 cnf(2143,plain,
% 4.69/4.65 (~E(f9(x21431,f13(x21432,f3(x21433),x21434),x21433),x21431)),
% 4.69/4.65 inference(rename_variables,[],[789])).
% 4.69/4.65 cnf(2155,plain,
% 4.69/4.65 (P7(x21551,f10(x21552,x21551,f46(x21553,a1)),f46(x21553,a1))),
% 4.69/4.65 inference(rename_variables,[],[217])).
% 4.69/4.65 cnf(2175,plain,
% 4.69/4.65 (P5(f23(x21751),f21(x21752),a44)),
% 4.69/4.65 inference(rename_variables,[],[150])).
% 4.69/4.65 cnf(2190,plain,
% 4.69/4.65 (P5(x21901,f18(f9(x21902,f13(x21901,x21903,x21904),x21904),x21904),x21904)),
% 4.69/4.65 inference(rename_variables,[],[286])).
% 4.69/4.65 cnf(2199,plain,
% 4.69/4.65 (P7(f40(x21991,f15(x21992),a44),f15(f40(x21991,x21992,a44)),f46(a44,a1))),
% 4.69/4.65 inference(rename_variables,[],[254])).
% 4.69/4.65 cnf(2206,plain,
% 4.69/4.65 (P5(x22061,f18(f9(x22062,f13(x22061,x22063,x22064),x22064),x22064),x22064)),
% 4.69/4.65 inference(rename_variables,[],[286])).
% 4.69/4.65 cnf(2209,plain,
% 4.69/4.65 (P5(x22091,f18(f9(x22092,f13(x22091,x22093,x22094),x22094),x22094),x22094)),
% 4.69/4.65 inference(rename_variables,[],[286])).
% 4.69/4.65 cnf(2219,plain,
% 4.69/4.65 (~P5(f39(f38(x22191),x22192),f41(a34,x22193,a42,a45),a45)),
% 4.69/4.65 inference(rename_variables,[],[388])).
% 4.69/4.65 cnf(2220,plain,
% 4.69/4.65 (P5(f39(x22201,x22202),f41(x22201,f37(f46(x22203,a1)),x22203,x22204),x22204)),
% 4.69/4.65 inference(rename_variables,[],[284])).
% 4.69/4.65 cnf(2227,plain,
% 4.69/4.65 (~P5(f39(f38(x22271),x22272),f41(a34,x22273,a42,a45),a45)),
% 4.69/4.65 inference(rename_variables,[],[388])).
% 4.69/4.65 cnf(2238,plain,
% 4.69/4.65 (~P7(f10(x22381,f10(f13(x22382,f35(f46(a44,a1)),x22383),x22384,f46(a44,a1)),f46(a44,a1)),f15(f35(f46(a44,a1))),f46(a44,a1))),
% 4.69/4.65 inference(scs_inference,[],[265,739,195,388,2219,2227,735,254,244,297,164,217,2138,2155,351,279,382,378,150,2175,284,2134,286,2190,2206,165,352,140,1305,1165,1976,1943,2022,1990,1956,1722,1577,2055,2045,1795,1941,1687,1987,1939,1699,773,874,789,2143,1643,745,1780,1501,762,1250,951,961,2137,584,506,624,432,603,487,714,564,453,561,503,501,591,605,587,609,496,566,490,452,549,513,638,544,451,492,654,622,707,446,602,596,527,459,530,589,491,639,616,542,89,441,678,568,667,512,569])).
% 4.69/4.65 cnf(2260,plain,
% 4.69/4.65 (P5(f30(f28(a56),f28(a56)),f22(f4(a19,a47)),a44)),
% 4.69/4.65 inference(scs_inference,[],[265,739,332,195,388,2219,2227,178,735,254,2199,733,244,297,164,217,2138,2155,351,181,279,161,382,378,150,2175,284,2134,176,286,2190,2206,2209,165,352,140,377,1305,1165,1976,1943,2022,1990,1956,1722,1577,2055,1760,2045,1795,1941,1931,1687,1987,1939,1699,773,874,789,2143,1643,745,1780,1501,762,1250,951,961,2137,584,506,624,432,603,487,714,564,453,561,503,501,591,605,587,609,496,566,490,452,549,513,638,544,451,492,654,622,707,446,602,596,527,459,530,589,491,639,616,542,89,441,678,568,667,512,569,532,657,550,615,103,708,489])).
% 4.69/4.65 cnf(2275,plain,
% 4.69/4.65 (~P7(f4(a19,a47),f22(f22(f35(f46(a44,a1)))),f46(a44,a1))),
% 4.69/4.65 inference(scs_inference,[],[265,739,332,195,388,2219,2227,127,178,735,254,2199,733,244,297,164,217,2138,2155,351,181,279,161,382,378,150,2175,284,2134,2220,176,286,2190,2206,2209,165,144,352,140,377,1305,1857,1165,1976,1625,1996,1943,2022,1990,1956,1722,1577,2055,1760,2045,1795,1941,1931,1687,1987,1939,1699,773,874,789,2143,1643,745,1780,1501,762,1250,951,961,2137,584,506,624,432,603,487,714,564,453,561,503,501,591,605,587,609,496,566,490,452,549,513,638,544,451,492,654,622,707,446,602,596,527,459,530,589,491,639,616,542,89,441,678,568,667,512,569,532,657,550,615,103,708,489,91,488,6,493,608,511,94])).
% 4.69/4.65 cnf(2314,plain,
% 4.69/4.65 (P5(x23141,f15(f40(f30(f30(f39(a29,f39(a34,x23142)),f27(f39(a34,x23142),x23141)),x23143),x23144,a44)),a44)),
% 4.69/4.65 inference(rename_variables,[],[1935])).
% 4.69/4.65 cnf(2315,plain,
% 4.69/4.65 (P5(x23151,f15(f40(f30(x23152,x23151),x23153,a44)),a44)),
% 4.69/4.65 inference(rename_variables,[],[1504])).
% 4.69/4.65 cnf(2337,plain,
% 4.69/4.65 (P7(x23371,f10(x23371,x23372,f46(x23373,a1)),f46(x23373,a1))),
% 4.69/4.65 inference(rename_variables,[],[218])).
% 4.69/4.65 cnf(2379,plain,
% 4.69/4.65 ($false),
% 4.69/4.65 inference(scs_inference,[],[265,128,384,372,180,166,226,177,301,218,2337,182,378,284,165,353,2275,2238,1828,760,1870,1690,2260,1967,2072,1935,2314,2131,1488,1831,1926,1504,2315,1747,1425,963,951,961,536,624,518,584,706,7,591,587,603,487,564,549,513,490,453,526,452,623,614,609,496,527,446,566,459,589,654]),
% 4.69/4.65 ['proof']).
% 4.69/4.65 % SZS output end Proof
% 4.69/4.65 % Total time :3.850000s
%------------------------------------------------------------------------------