TSTP Solution File: SWV733-1 by CSE---1.6
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%------------------------------------------------------------------------------
% File : CSE---1.6
% Problem : SWV733-1 : 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 : n018.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 21:35:02 EDT 2023
% Result : Unsatisfiable 18.89s 19.01s
% Output : CNFRefutation 18.89s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SWV733-1 : TPTP v8.1.2. Released v4.1.0.
% 0.07/0.13 % Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %s %d
% 0.13/0.34 % Computer : n018.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Tue Aug 29 07:07:18 EDT 2023
% 0.13/0.34 % CPUTime :
% 0.20/0.57 start to proof:theBenchmark
% 18.89/18.96 %-------------------------------------------
% 18.89/18.96 % File :CSE---1.6
% 18.89/18.96 % Problem :theBenchmark
% 18.89/18.96 % Transform :cnf
% 18.89/18.96 % Format :tptp:raw
% 18.89/18.96 % Command :java -jar mcs_scs.jar %d %s
% 18.89/18.96
% 18.89/18.96 % Result :Theorem 18.080000s
% 18.89/18.96 % Output :CNFRefutation 18.080000s
% 18.89/18.96 %-------------------------------------------
% 18.89/18.97 %------------------------------------------------------------------------------
% 18.89/18.97 % File : SWV733-1 : TPTP v8.1.2. Released v4.1.0.
% 18.89/18.97 % Domain : Software Verification
% 18.89/18.97 % Problem : Needham-Schroeder shared-key protocol 216_1
% 18.89/18.97 % Version : Especial.
% 18.89/18.97 % English :
% 18.89/18.97
% 18.89/18.97 % Refs : [BAN89] Burrows et al. (1989), A Logic of Authentication
% 18.89/18.97 % : [Nip10] Nipkow (2010), Email to Geoff Sutcliffe
% 18.89/18.97 % : [BN10] Boehme & Nipkow (2010), Sledgehammer: Judgement Day
% 18.89/18.97 % Source : [Nip10]
% 18.89/18.97 % Names : NS_Shared-216_1 [Nip10]
% 18.89/18.97
% 18.89/18.97 % Status : Unsatisfiable
% 18.89/18.97 % Rating : 0.10 v8.1.0, 0.32 v7.5.0, 0.26 v7.4.0, 0.24 v7.3.0, 0.17 v7.0.0, 0.33 v6.3.0, 0.27 v6.2.0, 0.30 v6.1.0, 0.50 v5.5.0, 0.75 v5.3.0, 0.78 v5.2.0, 0.69 v5.1.0, 0.71 v4.1.0
% 18.89/18.97 % Syntax : Number of clauses : 748 ( 291 unt; 66 nHn; 405 RR)
% 18.89/18.97 % Number of literals : 1453 ( 435 equ; 717 neg)
% 18.89/18.97 % Maximal clause size : 5 ( 1 avg)
% 18.89/18.97 % Maximal term depth : 10 ( 2 avg)
% 18.89/18.97 % Number of predicates : 20 ( 19 usr; 0 prp; 1-4 aty)
% 18.89/18.97 % Number of functors : 60 ( 60 usr; 17 con; 0-5 aty)
% 18.89/18.97 % Number of variables : 2415 ( 532 sgn)
% 18.89/18.97 % SPC : CNF_UNS_RFO_SEQ_NHN
% 18.89/18.97
% 18.89/18.97 % Comments :
% 18.89/18.97 %------------------------------------------------------------------------------
% 18.89/18.97 cnf(cls_ns__sharedp_ONS1_0,axiom,
% 18.89/18.97 ( 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))
% 18.89/18.97 | c_in(c_Message_Omsg_ONonce(V_NA),c_Event_Oused(V_evs1),tc_Message_Omsg)
% 18.89/18.97 | ~ c_NS__Shared__Mirabelle_Ons__sharedp(V_evs1) ) ).
% 18.89/18.97
% 18.89/18.97 cnf(cls_Notes__imp__knows__Spy_0,axiom,
% 18.89/18.97 ( c_in(V_X,c_Event_Oknows(c_Message_Oagent_OSpy,V_evs),tc_Message_Omsg)
% 18.89/18.97 | ~ c_in(V_A,c_Event_Obad,tc_Message_Oagent)
% 18.89/18.97 | ~ c_in(c_Event_Oevent_ONotes(V_A,V_X),c_List_Oset(V_evs,tc_Event_Oevent),tc_Event_Oevent) ) ).
% 18.89/18.97
% 18.89/18.97 cnf(cls_ns__sharedp_OFake_0,axiom,
% 18.89/18.97 ( 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))
% 18.89/18.97 | ~ c_in(V_X,c_Message_Osynth(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,V_evsf))),tc_Message_Omsg)
% 18.89/18.97 | ~ c_NS__Shared__Mirabelle_Ons__sharedp(V_evsf) ) ).
% 18.89/18.97
% 18.89/18.97 cnf(cls_knows__Spy__Notes_0,axiom,
% 18.89/18.97 ( c_Event_Oknows(c_Message_Oagent_OSpy,c_List_Olist_OCons(c_Event_Oevent_ONotes(V_A,V_X),V_evs,tc_Event_Oevent)) = c_Set_Oinsert(V_X,c_Event_Oknows(c_Message_Oagent_OSpy,V_evs),tc_Message_Omsg)
% 18.89/18.97 | ~ c_in(V_A,c_Event_Obad,tc_Message_Oagent) ) ).
% 18.89/18.97
% 18.89/18.97 cnf(cls_used__Notes_0,axiom,
% 18.89/18.97 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)) ).
% 18.89/18.97
% 18.89/18.97 cnf(cls_ns__sharedp_OOops_0,axiom,
% 18.89/18.97 ( 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))
% 18.89/18.97 | ~ c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,V_A,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,V_A),c_Message_Omsg_OMPair(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)
% 18.89/18.97 | ~ c_in(c_Event_Oevent_OSays(V_B,V_A,c_Message_Omsg_OCrypt(V_K,c_Message_Omsg_ONonce(V_NB))),c_List_Oset(V_evso,tc_Event_Oevent),tc_Event_Oevent)
% 18.89/18.97 | ~ c_NS__Shared__Mirabelle_Ons__sharedp(V_evso) ) ).
% 18.89/18.97
% 18.89/18.97 cnf(cls_knows__Notes_0,axiom,
% 18.89/18.97 c_Event_Oknows(V_A,c_List_Olist_OCons(c_Event_Oevent_ONotes(V_A,V_X),V_evs,tc_Event_Oevent)) = c_Set_Oinsert(V_X,c_Event_Oknows(V_A,V_evs),tc_Message_Omsg) ).
% 18.89/18.97
% 18.89/18.97 cnf(cls_event_Osimps_I7_J_0,axiom,
% 18.89/18.97 c_Event_Oevent_ONotes(V_agent_H,V_msg_H) != c_Event_Oevent_OSays(V_agent1,V_agent2,V_msg) ).
% 18.89/18.97
% 18.89/18.97 cnf(cls_event_Osimps_I6_J_0,axiom,
% 18.89/18.97 c_Event_Oevent_OSays(V_agent1,V_agent2,V_msg) != c_Event_Oevent_ONotes(V_agent_H,V_msg_H) ).
% 18.89/18.97
% 18.89/18.97 cnf(cls_ns__sharedp_ONil_0,axiom,
% 18.89/18.97 c_NS__Shared__Mirabelle_Ons__sharedp(c_List_Olist_ONil(tc_Event_Oevent)) ).
% 18.89/18.97
% 18.89/18.97 cnf(cls_event_Osimps_I3_J_1,axiom,
% 18.89/18.97 ( c_Event_Oevent_ONotes(V_agent,V_msg) != c_Event_Oevent_ONotes(V_agent_H,V_msg_H)
% 18.89/18.97 | V_msg = V_msg_H ) ).
% 18.89/18.97
% 18.89/18.97 cnf(cls_event_Osimps_I3_J_0,axiom,
% 18.89/18.97 ( c_Event_Oevent_ONotes(V_agent,V_msg) != c_Event_Oevent_ONotes(V_agent_H,V_msg_H)
% 18.89/18.97 | V_agent = V_agent_H ) ).
% 18.89/18.97
% 18.89/18.97 cnf(cls_knows__subset__knows__Notes_0,axiom,
% 18.89/18.97 c_lessequals(c_Event_Oknows(V_A,V_evs),c_Event_Oknows(V_A,c_List_Olist_OCons(c_Event_Oevent_ONotes(V_A_H,V_X),V_evs,tc_Event_Oevent)),tc_fun(tc_Message_Omsg,tc_bool)) ).
% 18.89/18.97
% 18.89/18.97 cnf(cls_Notes__imp__knows_0,axiom,
% 18.89/18.97 ( c_in(V_X,c_Event_Oknows(V_A,V_evs),tc_Message_Omsg)
% 18.89/18.97 | ~ c_in(c_Event_Oevent_ONotes(V_A,V_X),c_List_Oset(V_evs,tc_Event_Oevent),tc_Event_Oevent) ) ).
% 18.89/18.97
% 18.89/18.97 cnf(cls_Notes__imp__used_0,axiom,
% 18.89/18.97 ( c_in(V_X,c_Event_Oused(V_evs),tc_Message_Omsg)
% 18.89/18.97 | ~ c_in(c_Event_Oevent_ONotes(V_A,V_X),c_List_Oset(V_evs,tc_Event_Oevent),tc_Event_Oevent) ) ).
% 18.89/18.97
% 18.89/18.97 cnf(cls_knows__Spy__subset__knows__Spy__Notes_0,axiom,
% 18.89/18.97 c_lessequals(c_Event_Oknows(c_Message_Oagent_OSpy,V_evs),c_Event_Oknows(c_Message_Oagent_OSpy,c_List_Olist_OCons(c_Event_Oevent_ONotes(V_A,V_X),V_evs,tc_Event_Oevent)),tc_fun(tc_Message_Omsg,tc_bool)) ).
% 18.89/18.97
% 18.89/18.97 cnf(cls_analz__mono__contra_I2_J_0,axiom,
% 18.89/18.97 ( ~ c_in(V_c,c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,V_evs)),tc_Message_Omsg)
% 18.89/18.97 | c_in(V_c,c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,c_List_Olist_OCons(c_Event_Oevent_ONotes(V_A,V_X),V_evs,tc_Event_Oevent))),tc_Message_Omsg) ) ).
% 18.89/18.97
% 18.89/18.97 cnf(cls_knows__Spy__Notes_1,axiom,
% 18.89/18.97 ( c_Event_Oknows(c_Message_Oagent_OSpy,c_List_Olist_OCons(c_Event_Oevent_ONotes(V_A,V_X),V_evs,tc_Event_Oevent)) = c_Event_Oknows(c_Message_Oagent_OSpy,V_evs)
% 18.89/18.97 | c_in(V_A,c_Event_Obad,tc_Message_Oagent) ) ).
% 18.89/18.97
% 18.89/18.97 cnf(cls_ns__sharedp_ONS3_0,axiom,
% 18.89/18.97 ( 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))
% 18.89/18.97 | ~ c_in(c_Event_Oevent_OSays(V_A,c_Message_Oagent_OServer,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(V_A),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(V_B),c_Message_Omsg_ONonce(V_NA)))),c_List_Oset(V_evs3,tc_Event_Oevent),tc_Event_Oevent)
% 18.89/18.97 | ~ c_in(c_Event_Oevent_OSays(V_S,V_A,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,V_A),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(V_NA),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(V_B),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,V_K),V_X))))),c_List_Oset(V_evs3,tc_Event_Oevent),tc_Event_Oevent)
% 18.89/18.97 | V_A = c_Message_Oagent_OServer
% 18.89/18.97 | ~ c_NS__Shared__Mirabelle_Ons__sharedp(V_evs3) ) ).
% 18.89/18.97
% 18.89/18.97 cnf(cls_ns__sharedp_ONS5_0,axiom,
% 18.89/18.97 ( 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))
% 18.89/18.97 | ~ c_in(c_Event_Oevent_OSays(V_S,V_A,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,V_A),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(V_NA),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(V_B),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,V_K),V_X))))),c_List_Oset(V_evs5,tc_Event_Oevent),tc_Event_Oevent)
% 18.89/18.97 | ~ c_in(c_Event_Oevent_OSays(V_B_H,V_A,c_Message_Omsg_OCrypt(V_K,c_Message_Omsg_ONonce(V_NB))),c_List_Oset(V_evs5,tc_Event_Oevent),tc_Event_Oevent)
% 18.89/18.97 | ~ c_in(V_K,c_Message_OsymKeys,tc_nat)
% 18.89/18.97 | ~ c_NS__Shared__Mirabelle_Ons__sharedp(V_evs5) ) ).
% 18.89/18.97
% 18.89/18.97 cnf(cls_analz__increasing_0,axiom,
% 18.89/18.97 c_lessequals(V_H,c_Message_Oanalz(V_H),tc_fun(tc_Message_Omsg,tc_bool)) ).
% 18.89/18.97
% 18.89/18.97 cnf(cls_inj__on__inv__into_0,axiom,
% 18.89/18.97 ( c_Fun_Oinj__on(c_Hilbert__Choice_Oinv__into(V_A,V_f,T_b,T_a),V_B,T_a,T_b)
% 18.89/18.97 | ~ c_lessequals(V_B,c_Set_Oimage(V_f,V_A,T_b,T_a),tc_fun(T_a,tc_bool)) ) ).
% 18.89/18.97
% 18.89/18.97 cnf(cls_Int__left__commute_0,axiom,
% 18.89/18.97 c_Lattices_Olower__semilattice__class_Oinf(V_A,c_Lattices_Olower__semilattice__class_Oinf(V_B,V_C,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)) = c_Lattices_Olower__semilattice__class_Oinf(V_B,c_Lattices_Olower__semilattice__class_Oinf(V_A,V_C,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)) ).
% 18.89/18.97
% 18.89/18.97 cnf(cls_Int__assoc_0,axiom,
% 18.89/18.97 c_Lattices_Olower__semilattice__class_Oinf(c_Lattices_Olower__semilattice__class_Oinf(V_A,V_B,tc_fun(T_a,tc_bool)),V_C,tc_fun(T_a,tc_bool)) = c_Lattices_Olower__semilattice__class_Oinf(V_A,c_Lattices_Olower__semilattice__class_Oinf(V_B,V_C,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)) ).
% 18.89/18.97
% 18.89/18.97 cnf(cls_inf__assoc_0,axiom,
% 18.89/18.97 ( ~ class_Lattices_Olower__semilattice(T_a)
% 18.89/18.97 | c_Lattices_Olower__semilattice__class_Oinf(c_Lattices_Olower__semilattice__class_Oinf(V_x,V_y,T_a),V_z,T_a) = c_Lattices_Olower__semilattice__class_Oinf(V_x,c_Lattices_Olower__semilattice__class_Oinf(V_y,V_z,T_a),T_a) ) ).
% 18.89/18.97
% 18.89/18.97 cnf(cls_inf__left__commute_0,axiom,
% 18.89/18.97 ( ~ class_Lattices_Olower__semilattice(T_a)
% 18.89/18.97 | c_Lattices_Olower__semilattice__class_Oinf(V_x,c_Lattices_Olower__semilattice__class_Oinf(V_y,V_z,T_a),T_a) = c_Lattices_Olower__semilattice__class_Oinf(V_y,c_Lattices_Olower__semilattice__class_Oinf(V_x,V_z,T_a),T_a) ) ).
% 18.89/18.97
% 18.89/18.97 cnf(cls_inf__sup__aci_I3_J_0,axiom,
% 18.89/18.97 ( ~ class_Lattices_Olattice(T_a)
% 18.89/18.97 | c_Lattices_Olower__semilattice__class_Oinf(V_x,c_Lattices_Olower__semilattice__class_Oinf(V_y,V_z,T_a),T_a) = c_Lattices_Olower__semilattice__class_Oinf(V_y,c_Lattices_Olower__semilattice__class_Oinf(V_x,V_z,T_a),T_a) ) ).
% 18.89/18.97
% 18.89/18.97 cnf(cls_inf__sup__aci_I2_J_0,axiom,
% 18.89/18.97 ( ~ class_Lattices_Olattice(T_a)
% 18.89/18.97 | c_Lattices_Olower__semilattice__class_Oinf(c_Lattices_Olower__semilattice__class_Oinf(V_x,V_y,T_a),V_z,T_a) = c_Lattices_Olower__semilattice__class_Oinf(V_x,c_Lattices_Olower__semilattice__class_Oinf(V_y,V_z,T_a),T_a) ) ).
% 18.89/18.97
% 18.89/18.97 cnf(cls_invKey__K_0,axiom,
% 18.89/18.97 ( c_Message_OinvKey(V_K) = V_K
% 18.89/18.97 | ~ c_in(V_K,c_Message_OsymKeys,tc_nat) ) ).
% 18.89/18.97
% 18.89/18.97 cnf(cls_msg_Osimps_I11_J_0,axiom,
% 18.89/18.97 c_Message_Omsg_ONonce(V_nat_H) != c_Message_Omsg_OAgent(V_agent) ).
% 18.89/18.97
% 18.89/18.97 cnf(cls_set__empty2_0,axiom,
% 18.89/18.97 ( c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)) != c_List_Oset(V_xs,T_a)
% 18.89/18.97 | V_xs = c_List_Olist_ONil(T_a) ) ).
% 18.89/18.97
% 18.89/18.97 cnf(cls_fun__upd__twist_0,axiom,
% 18.89/18.97 ( c_Fun_Ofun__upd(c_Fun_Ofun__upd(V_m,V_a,V_b,T_a,T_b),V_c,V_d,T_a,T_b) = c_Fun_Ofun__upd(c_Fun_Ofun__upd(V_m,V_c,V_d,T_a,T_b),V_a,V_b,T_a,T_b)
% 18.89/18.97 | V_a = V_c ) ).
% 18.89/18.97
% 18.89/18.97 cnf(cls_symKeys__invKey__iff_1,axiom,
% 18.89/18.97 ( c_in(c_Message_OinvKey(V_K),c_Message_OsymKeys,tc_nat)
% 18.89/18.97 | ~ c_in(V_K,c_Message_OsymKeys,tc_nat) ) ).
% 18.89/18.97
% 18.89/18.97 cnf(cls_symKeys__invKey__iff_0,axiom,
% 18.89/18.97 ( c_in(V_K,c_Message_OsymKeys,tc_nat)
% 18.89/18.97 | ~ c_in(c_Message_OinvKey(V_K),c_Message_OsymKeys,tc_nat) ) ).
% 18.89/18.98
% 18.89/18.98 cnf(cls_Un__Int__assoc__eq_1,axiom,
% 18.89/18.98 ( c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Olower__semilattice__class_Oinf(V_A,V_B,tc_fun(T_a,tc_bool)),V_C,tc_fun(T_a,tc_bool)) = c_Lattices_Olower__semilattice__class_Oinf(V_A,c_Lattices_Oupper__semilattice__class_Osup(V_B,V_C,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool))
% 18.89/18.98 | ~ c_lessequals(V_C,V_A,tc_fun(T_a,tc_bool)) ) ).
% 18.89/18.98
% 18.89/18.98 cnf(cls_Un__Int__assoc__eq_0,axiom,
% 18.89/18.98 ( c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Olower__semilattice__class_Oinf(V_A,V_B,tc_fun(T_a,tc_bool)),V_C,tc_fun(T_a,tc_bool)) != c_Lattices_Olower__semilattice__class_Oinf(V_A,c_Lattices_Oupper__semilattice__class_Osup(V_B,V_C,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool))
% 18.89/18.98 | c_lessequals(V_C,V_A,tc_fun(T_a,tc_bool)) ) ).
% 18.89/18.98
% 18.89/18.98 cnf(cls_image__Int__subset_0,axiom,
% 18.89/18.98 c_lessequals(c_Set_Oimage(V_f,c_Lattices_Olower__semilattice__class_Oinf(V_A,V_B,tc_fun(T_b,tc_bool)),T_b,T_a),c_Lattices_Olower__semilattice__class_Oinf(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)),tc_fun(T_a,tc_bool)) ).
% 18.89/18.98
% 18.89/18.98 cnf(cls_HPair__eq__MPair_1,axiom,
% 18.89/18.98 ( c_Message_OHPair(V_X,V_Y) != c_Message_Omsg_OMPair(V_X_H,V_Y_H)
% 18.89/18.98 | V_Y_H = V_Y ) ).
% 18.89/18.98
% 18.89/18.98 cnf(cls_msg_Osimps_I44_J_0,axiom,
% 18.89/18.98 c_Message_Omsg_OHash(V_msg) != c_Message_Omsg_OMPair(V_msg1_H,V_msg2_H) ).
% 18.89/18.98
% 18.89/18.98 cnf(cls_synth__mono_0,axiom,
% 18.89/18.98 ( c_lessequals(c_Message_Osynth(V_G),c_Message_Osynth(V_H),tc_fun(tc_Message_Omsg,tc_bool))
% 18.89/18.98 | ~ c_lessequals(V_G,V_H,tc_fun(tc_Message_Omsg,tc_bool)) ) ).
% 18.89/18.98
% 18.89/18.98 cnf(cls_image__vimage__subset_0,axiom,
% 18.89/18.98 c_lessequals(c_Set_Oimage(V_f,c_Set_Ovimage(V_f,V_A,T_b,T_a),T_b,T_a),V_A,tc_fun(T_a,tc_bool)) ).
% 18.89/18.98
% 18.89/18.98 cnf(cls_Says__imp__used_0,axiom,
% 18.89/18.98 ( c_in(V_X,c_Event_Oused(V_evs),tc_Message_Omsg)
% 18.89/18.98 | ~ c_in(c_Event_Oevent_OSays(V_A,V_B,V_X),c_List_Oset(V_evs,tc_Event_Oevent),tc_Event_Oevent) ) ).
% 18.89/18.98
% 18.89/18.98 cnf(cls_vimage__Diff_0,axiom,
% 18.89/18.98 c_Set_Ovimage(V_f,c_HOL_Ominus__class_Ominus(V_A,V_B,tc_fun(T_b,tc_bool)),T_a,T_b) = c_HOL_Ominus__class_Ominus(c_Set_Ovimage(V_f,V_A,T_a,T_b),c_Set_Ovimage(V_f,V_B,T_a,T_b),tc_fun(T_a,tc_bool)) ).
% 18.89/18.98
% 18.89/18.98 cnf(cls_used__nil__subset_0,axiom,
% 18.89/18.98 c_lessequals(c_Event_Oused(c_List_Olist_ONil(tc_Event_Oevent)),c_Event_Oused(V_evs),tc_fun(tc_Message_Omsg,tc_bool)) ).
% 18.89/18.98
% 18.89/18.98 cnf(cls_inj__on__diff_0,axiom,
% 18.89/18.98 ( c_Fun_Oinj__on(V_f,c_HOL_Ominus__class_Ominus(V_A,V_B,tc_fun(T_a,tc_bool)),T_a,T_b)
% 18.89/18.98 | ~ c_Fun_Oinj__on(V_f,V_A,T_a,T_b) ) ).
% 18.89/18.98
% 18.89/18.98 cnf(cls_invKey__eq_0,axiom,
% 18.89/18.98 ( c_Message_OinvKey(V_K) != c_Message_OinvKey(V_K_H)
% 18.89/18.98 | V_K = V_K_H ) ).
% 18.89/18.98
% 18.89/18.98 cnf(cls_msg_Osimps_I34_J_0,axiom,
% 18.89/18.98 c_Message_Omsg_ONonce(V_nat) != c_Message_Omsg_OMPair(V_msg1_H,V_msg2_H) ).
% 18.89/18.98
% 18.89/18.98 cnf(cls_keysFor__insert__Nonce_0,axiom,
% 18.89/18.98 c_Message_OkeysFor(c_Set_Oinsert(c_Message_Omsg_ONonce(V_N),V_H,tc_Message_Omsg)) = c_Message_OkeysFor(V_H) ).
% 18.89/18.98
% 18.89/18.98 cnf(cls_inj__on__image__Int_0,axiom,
% 18.89/18.98 ( c_Set_Oimage(V_f,c_Lattices_Olower__semilattice__class_Oinf(V_A,V_B,tc_fun(T_a,tc_bool)),T_a,T_b) = c_Lattices_Olower__semilattice__class_Oinf(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))
% 18.89/18.98 | ~ c_lessequals(V_B,V_C,tc_fun(T_a,tc_bool))
% 18.89/18.98 | ~ c_lessequals(V_A,V_C,tc_fun(T_a,tc_bool))
% 18.89/18.98 | ~ c_Fun_Oinj__on(V_f,V_C,T_a,T_b) ) ).
% 18.89/18.98
% 18.89/18.98 cnf(cls_privateKey__neq__publicKey_0,axiom,
% 18.89/18.98 c_Message_OinvKey(hAPP(c_Public_OpublicKey(V_b),V_A)) != hAPP(c_Public_OpublicKey(V_c),V_A_H) ).
% 18.89/18.98
% 18.89/18.98 cnf(cls_set__empty_1,axiom,
% 18.89/18.98 c_List_Oset(c_List_Olist_ONil(T_a),T_a) = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)) ).
% 18.89/18.98
% 18.89/18.98 cnf(cls_Diff__triv_0,axiom,
% 18.89/18.98 ( c_Lattices_Olower__semilattice__class_Oinf(V_A,V_B,tc_fun(T_a,tc_bool)) != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))
% 18.89/18.98 | c_HOL_Ominus__class_Ominus(V_A,V_B,tc_fun(T_a,tc_bool)) = V_A ) ).
% 18.89/18.98
% 18.89/18.98 cnf(cls_Int__Un__distrib2_0,axiom,
% 18.89/18.98 c_Lattices_Olower__semilattice__class_Oinf(c_Lattices_Oupper__semilattice__class_Osup(V_B,V_C,tc_fun(T_a,tc_bool)),V_A,tc_fun(T_a,tc_bool)) = c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Olower__semilattice__class_Oinf(V_B,V_A,tc_fun(T_a,tc_bool)),c_Lattices_Olower__semilattice__class_Oinf(V_C,V_A,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)) ).
% 18.89/18.98
% 18.89/18.98 cnf(cls_Int__Un__distrib_0,axiom,
% 18.89/18.98 c_Lattices_Olower__semilattice__class_Oinf(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_Olower__semilattice__class_Oinf(V_A,V_B,tc_fun(T_a,tc_bool)),c_Lattices_Olower__semilattice__class_Oinf(V_A,V_C,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)) ).
% 18.89/18.98
% 18.89/18.98 cnf(cls_inf__sup__distrib1_0,axiom,
% 18.89/18.98 ( ~ class_Lattices_Odistrib__lattice(T_a)
% 18.89/18.98 | c_Lattices_Olower__semilattice__class_Oinf(V_x,c_Lattices_Oupper__semilattice__class_Osup(V_y,V_z,T_a),T_a) = c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Olower__semilattice__class_Oinf(V_x,V_y,T_a),c_Lattices_Olower__semilattice__class_Oinf(V_x,V_z,T_a),T_a) ) ).
% 18.89/18.98
% 18.89/18.98 cnf(cls_inf__sup__distrib2_0,axiom,
% 18.89/18.98 ( ~ class_Lattices_Odistrib__lattice(T_a)
% 18.89/18.98 | c_Lattices_Olower__semilattice__class_Oinf(c_Lattices_Oupper__semilattice__class_Osup(V_y,V_z,T_a),V_x,T_a) = c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Olower__semilattice__class_Oinf(V_y,V_x,T_a),c_Lattices_Olower__semilattice__class_Oinf(V_z,V_x,T_a),T_a) ) ).
% 18.89/18.98
% 18.89/18.98 cnf(cls_inv__into__image__cancel_0,axiom,
% 18.89/18.98 ( c_Set_Oimage(c_Hilbert__Choice_Oinv__into(V_A,V_f,T_a,T_b),c_Set_Oimage(V_f,V_S,T_a,T_b),T_b,T_a) = V_S
% 18.89/18.98 | ~ c_lessequals(V_S,V_A,tc_fun(T_a,tc_bool))
% 18.89/18.98 | ~ c_Fun_Oinj__on(V_f,V_A,T_a,T_b) ) ).
% 18.89/18.98
% 18.89/18.98 cnf(cls_msg_Osimps_I3_J_0,axiom,
% 18.89/18.98 ( c_Message_Omsg_ONonce(V_nat) != c_Message_Omsg_ONonce(V_nat_H)
% 18.89/18.98 | V_nat = V_nat_H ) ).
% 18.89/18.98
% 18.89/18.98 cnf(cls_HPair__eq__MPair_0,axiom,
% 18.89/18.98 ( c_Message_OHPair(V_X,V_Y) != c_Message_Omsg_OMPair(V_X_H,V_Y_H)
% 18.89/18.98 | V_X_H = c_Message_Omsg_OHash(c_Message_Omsg_OMPair(V_X,V_Y)) ) ).
% 18.89/18.98
% 18.89/18.98 cnf(cls_HPair__eq_1,axiom,
% 18.89/18.98 ( c_Message_OHPair(V_X_H,V_Y_H) != c_Message_OHPair(V_X,V_Y)
% 18.89/18.98 | V_Y_H = V_Y ) ).
% 18.89/18.98
% 18.89/18.98 cnf(cls_HPair__eq_0,axiom,
% 18.89/18.98 ( c_Message_OHPair(V_X_H,V_Y_H) != c_Message_OHPair(V_X,V_Y)
% 18.89/18.98 | V_X_H = V_X ) ).
% 18.89/18.98
% 18.89/18.98 cnf(cls_Diff__idemp_0,axiom,
% 18.89/18.98 c_HOL_Ominus__class_Ominus(c_HOL_Ominus__class_Ominus(V_A,V_B,tc_fun(T_a,tc_bool)),V_B,tc_fun(T_a,tc_bool)) = c_HOL_Ominus__class_Ominus(V_A,V_B,tc_fun(T_a,tc_bool)) ).
% 18.89/18.98
% 18.89/18.98 cnf(cls_synth__subset__iff_1,axiom,
% 18.89/18.98 ( c_lessequals(c_Message_Osynth(V_G),c_Message_Osynth(V_H),tc_fun(tc_Message_Omsg,tc_bool))
% 18.89/18.98 | ~ c_lessequals(V_G,c_Message_Osynth(V_H),tc_fun(tc_Message_Omsg,tc_bool)) ) ).
% 18.89/18.98
% 18.89/18.98 cnf(cls_synth__subset__iff_0,axiom,
% 18.89/18.98 ( c_lessequals(V_G,c_Message_Osynth(V_H),tc_fun(tc_Message_Omsg,tc_bool))
% 18.89/18.98 | ~ c_lessequals(c_Message_Osynth(V_G),c_Message_Osynth(V_H),tc_fun(tc_Message_Omsg,tc_bool)) ) ).
% 18.89/18.98
% 18.89/18.98 cnf(cls_eq__eqI_1,axiom,
% 18.89/18.98 ( ~ class_OrderedGroup_Oab__group__add(T_a)
% 18.89/18.98 | c_HOL_Ominus__class_Ominus(V_xa,V_y,T_a) != c_HOL_Ominus__class_Ominus(V_x,V_x,T_a)
% 18.89/18.98 | V_xa = V_y ) ).
% 18.89/18.98
% 18.89/18.98 cnf(cls_eq__eqI_0,axiom,
% 18.89/18.98 ( ~ class_OrderedGroup_Oab__group__add(T_a)
% 18.89/18.98 | c_HOL_Ominus__class_Ominus(V_x,V_x,T_a) != c_HOL_Ominus__class_Ominus(V_x_H,V_y_H,T_a)
% 18.89/18.98 | V_x_H = V_y_H ) ).
% 18.89/18.98
% 18.89/18.98 cnf(cls_image__diff__subset_0,axiom,
% 18.89/18.98 c_lessequals(c_HOL_Ominus__class_Ominus(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_HOL_Ominus__class_Ominus(V_A,V_B,tc_fun(T_b,tc_bool)),T_b,T_a),tc_fun(T_a,tc_bool)) ).
% 18.89/18.98
% 18.89/18.98 cnf(cls_set__ConsD_0,axiom,
% 18.89/18.98 ( c_in(V_y,c_List_Oset(V_xs,T_a),T_a)
% 18.89/18.98 | V_y = V_x
% 18.89/18.98 | ~ c_in(V_y,c_List_Oset(c_List_Olist_OCons(V_x,V_xs,T_a),T_a),T_a) ) ).
% 18.89/18.98
% 18.89/18.98 cnf(cls_Int__absorb2_0,axiom,
% 18.89/18.98 ( c_Lattices_Olower__semilattice__class_Oinf(V_A,V_B,tc_fun(T_a,tc_bool)) = V_A
% 18.89/18.98 | ~ c_lessequals(V_A,V_B,tc_fun(T_a,tc_bool)) ) ).
% 18.89/18.98
% 18.89/18.98 cnf(cls_Int__absorb1_0,axiom,
% 18.89/18.98 ( c_Lattices_Olower__semilattice__class_Oinf(V_A,V_B,tc_fun(T_a,tc_bool)) = V_B
% 18.89/18.98 | ~ c_lessequals(V_B,V_A,tc_fun(T_a,tc_bool)) ) ).
% 18.89/18.98
% 18.89/18.98 cnf(cls_le__iff__inf_0,axiom,
% 18.89/18.98 ( ~ class_Lattices_Olower__semilattice(T_a)
% 18.89/18.98 | c_Lattices_Olower__semilattice__class_Oinf(V_x,V_y,T_a) = V_x
% 18.89/18.98 | ~ c_lessequals(V_x,V_y,T_a) ) ).
% 18.89/18.98
% 18.89/18.98 cnf(cls_le__iff__inf_1,axiom,
% 18.89/18.98 ( ~ class_Lattices_Olower__semilattice(T_a)
% 18.89/18.98 | c_Lattices_Olower__semilattice__class_Oinf(V_x,V_y,T_a) != V_x
% 18.89/18.98 | c_lessequals(V_x,V_y,T_a) ) ).
% 18.89/18.98
% 18.89/18.98 cnf(cls_inf__absorb2_0,axiom,
% 18.89/18.98 ( ~ class_Lattices_Olower__semilattice(T_a)
% 18.89/18.98 | c_Lattices_Olower__semilattice__class_Oinf(V_x,V_y,T_a) = V_y
% 18.89/18.98 | ~ c_lessequals(V_y,V_x,T_a) ) ).
% 18.89/18.98
% 18.89/18.98 cnf(cls_Un__subset__iff_2,axiom,
% 18.89/18.98 ( 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))
% 18.89/18.98 | ~ c_lessequals(V_B,V_C,tc_fun(T_a,tc_bool))
% 18.89/18.98 | ~ c_lessequals(V_A,V_C,tc_fun(T_a,tc_bool)) ) ).
% 18.89/18.98
% 18.89/18.98 cnf(cls_Un__upper2_0,axiom,
% 18.89/18.98 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)) ).
% 18.89/18.98
% 18.89/18.98 cnf(cls_Un__upper1_0,axiom,
% 18.89/18.98 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)) ).
% 18.89/18.98
% 18.89/18.98 cnf(cls_Un__least_0,axiom,
% 18.89/18.98 ( 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))
% 18.89/18.98 | ~ c_lessequals(V_B,V_C,tc_fun(T_a,tc_bool))
% 18.89/18.98 | ~ c_lessequals(V_A,V_C,tc_fun(T_a,tc_bool)) ) ).
% 18.89/18.98
% 18.89/18.98 cnf(cls_le__supI_0,axiom,
% 18.89/18.98 ( ~ class_Lattices_Oupper__semilattice(T_a)
% 18.89/18.98 | c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(V_a,V_b,T_a),V_x,T_a)
% 18.89/18.98 | ~ c_lessequals(V_b,V_x,T_a)
% 18.89/18.98 | ~ c_lessequals(V_a,V_x,T_a) ) ).
% 18.89/18.98
% 18.89/18.98 cnf(cls_sup__ge1_0,axiom,
% 18.89/18.98 ( ~ class_Lattices_Oupper__semilattice(T_a)
% 18.89/18.98 | c_lessequals(V_x,c_Lattices_Oupper__semilattice__class_Osup(V_x,V_y,T_a),T_a) ) ).
% 18.89/18.98
% 18.89/18.98 cnf(cls_sup__ge2_0,axiom,
% 18.89/18.98 ( ~ class_Lattices_Oupper__semilattice(T_a)
% 18.89/18.98 | c_lessequals(V_y,c_Lattices_Oupper__semilattice__class_Osup(V_x,V_y,T_a),T_a) ) ).
% 18.89/18.98
% 18.89/18.98 cnf(cls_sup__least_0,axiom,
% 18.89/18.98 ( ~ class_Lattices_Oupper__semilattice(T_a)
% 18.89/18.98 | c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(V_y,V_z,T_a),V_x,T_a)
% 18.89/18.98 | ~ c_lessequals(V_z,V_x,T_a)
% 18.89/18.98 | ~ c_lessequals(V_y,V_x,T_a) ) ).
% 18.89/18.98
% 18.89/18.98 cnf(cls_le__sup__iff_2,axiom,
% 18.89/18.98 ( ~ class_Lattices_Oupper__semilattice(T_a)
% 18.89/18.98 | c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(V_x,V_y,T_a),V_z,T_a)
% 18.89/18.98 | ~ c_lessequals(V_y,V_z,T_a)
% 18.89/18.98 | ~ c_lessequals(V_x,V_z,T_a) ) ).
% 18.89/18.98
% 18.89/18.98 cnf(cls_inf__sup__ord_I4_J_0,axiom,
% 18.89/18.98 ( ~ class_Lattices_Olattice(T_a)
% 18.89/18.98 | c_lessequals(V_y,c_Lattices_Oupper__semilattice__class_Osup(V_x,V_y,T_a),T_a) ) ).
% 18.89/18.98
% 18.89/18.98 cnf(cls_inf__sup__ord_I3_J_0,axiom,
% 18.89/18.98 ( ~ class_Lattices_Olattice(T_a)
% 18.89/18.98 | c_lessequals(V_x,c_Lattices_Oupper__semilattice__class_Osup(V_x,V_y,T_a),T_a) ) ).
% 18.89/18.98
% 18.89/18.98 cnf(cls_Int__commute_0,axiom,
% 18.89/18.98 c_Lattices_Olower__semilattice__class_Oinf(V_A,V_B,tc_fun(T_a,tc_bool)) = c_Lattices_Olower__semilattice__class_Oinf(V_B,V_A,tc_fun(T_a,tc_bool)) ).
% 18.89/18.98
% 18.89/18.98 cnf(cls_inf__commute_0,axiom,
% 18.89/18.98 ( ~ class_Lattices_Olower__semilattice(T_a)
% 18.89/18.98 | c_Lattices_Olower__semilattice__class_Oinf(V_x,V_y,T_a) = c_Lattices_Olower__semilattice__class_Oinf(V_y,V_x,T_a) ) ).
% 18.89/18.98
% 18.89/18.98 cnf(cls_inf__sup__aci_I1_J_0,axiom,
% 18.89/18.98 ( ~ class_Lattices_Olattice(T_a)
% 18.89/18.99 | c_Lattices_Olower__semilattice__class_Oinf(V_x,V_y,T_a) = c_Lattices_Olower__semilattice__class_Oinf(V_y,V_x,T_a) ) ).
% 18.89/18.99
% 18.89/18.99 cnf(cls_Diff__partition_0,axiom,
% 18.89/18.99 ( c_Lattices_Oupper__semilattice__class_Osup(V_A,c_HOL_Ominus__class_Ominus(V_B,V_A,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)) = V_B
% 18.89/18.99 | ~ c_lessequals(V_A,V_B,tc_fun(T_a,tc_bool)) ) ).
% 18.89/18.99
% 18.89/18.99 cnf(cls_distrib__inf__le_0,axiom,
% 18.89/18.99 ( ~ class_Lattices_Olattice(T_a)
% 18.89/18.99 | c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Olower__semilattice__class_Oinf(V_x,V_y,T_a),c_Lattices_Olower__semilattice__class_Oinf(V_x,V_z,T_a),T_a),c_Lattices_Olower__semilattice__class_Oinf(V_x,c_Lattices_Oupper__semilattice__class_Osup(V_y,V_z,T_a),T_a),T_a) ) ).
% 18.89/18.99
% 18.89/18.99 cnf(cls_Diff__subset_0,axiom,
% 18.89/18.99 c_lessequals(c_HOL_Ominus__class_Ominus(V_A,V_B,tc_fun(T_a,tc_bool)),V_A,tc_fun(T_a,tc_bool)) ).
% 18.89/18.99
% 18.89/18.99 cnf(cls_Nonce__notin__used__empty_0,axiom,
% 18.89/18.99 ~ c_in(c_Message_Omsg_ONonce(V_N),c_Event_Oused(c_List_Olist_ONil(tc_Event_Oevent)),tc_Message_Omsg) ).
% 18.89/18.99
% 18.89/18.99 cnf(cls_Un__Int__crazy_0,axiom,
% 18.89/18.99 c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Olower__semilattice__class_Oinf(V_A,V_B,tc_fun(T_a,tc_bool)),c_Lattices_Olower__semilattice__class_Oinf(V_B,V_C,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)),c_Lattices_Olower__semilattice__class_Oinf(V_C,V_A,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)) = c_Lattices_Olower__semilattice__class_Oinf(c_Lattices_Olower__semilattice__class_Oinf(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_C,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)),c_Lattices_Oupper__semilattice__class_Osup(V_C,V_A,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)) ).
% 18.89/18.99
% 18.89/18.99 cnf(cls_msg_Osimps_I10_J_0,axiom,
% 18.89/18.99 c_Message_Omsg_OAgent(V_agent) != c_Message_Omsg_ONonce(V_nat_H) ).
% 18.89/18.99
% 18.89/18.99 cnf(cls_HPair__eq__MPair_2,axiom,
% 18.89/18.99 c_Message_OHPair(V_X,V_x) = c_Message_Omsg_OMPair(c_Message_Omsg_OHash(c_Message_Omsg_OMPair(V_X,V_x)),V_x) ).
% 18.89/18.99
% 18.89/18.99 cnf(cls_HPair__def_0,axiom,
% 18.89/18.99 c_Message_OHPair(V_X,V_Y) = c_Message_Omsg_OMPair(c_Message_Omsg_OHash(c_Message_Omsg_OMPair(V_X,V_Y)),V_Y) ).
% 18.89/18.99
% 18.89/18.99 cnf(cls_msg_Osimps_I33_J_0,axiom,
% 18.89/18.99 c_Message_Omsg_OHash(V_msg_H) != c_Message_Omsg_ONonce(V_nat) ).
% 18.89/18.99
% 18.89/18.99 cnf(cls_knows__subset__knows__Cons_0,axiom,
% 18.89/18.99 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)) ).
% 18.89/18.99
% 18.89/18.99 cnf(cls_vimage__mono_0,axiom,
% 18.89/18.99 ( c_lessequals(c_Set_Ovimage(V_f,V_A,T_b,T_a),c_Set_Ovimage(V_f,V_B,T_b,T_a),tc_fun(T_b,tc_bool))
% 18.89/18.99 | ~ c_lessequals(V_A,V_B,tc_fun(T_a,tc_bool)) ) ).
% 18.89/18.99
% 18.89/18.99 cnf(cls_msg_Osimps_I35_J_0,axiom,
% 18.89/18.99 c_Message_Omsg_OMPair(V_msg1_H,V_msg2_H) != c_Message_Omsg_ONonce(V_nat) ).
% 18.89/18.99
% 18.89/18.99 cnf(cls_neq__Nil__conv_1,axiom,
% 18.89/18.99 c_List_Olist_OCons(V_x,V_xa,T_a) != c_List_Olist_ONil(T_a) ).
% 18.89/18.99
% 18.89/18.99 cnf(cls_list_Osimps_I3_J_0,axiom,
% 18.89/18.99 c_List_Olist_OCons(V_a_H,V_list_H,T_a) != c_List_Olist_ONil(T_a) ).
% 18.89/18.99
% 18.89/18.99 cnf(cls_Un__Diff__cancel2_0,axiom,
% 18.89/18.99 c_Lattices_Oupper__semilattice__class_Osup(c_HOL_Ominus__class_Ominus(V_B,V_A,tc_fun(T_a,tc_bool)),V_A,tc_fun(T_a,tc_bool)) = c_Lattices_Oupper__semilattice__class_Osup(V_B,V_A,tc_fun(T_a,tc_bool)) ).
% 18.89/18.99
% 18.89/18.99 cnf(cls_Un__Diff__cancel_0,axiom,
% 18.89/18.99 c_Lattices_Oupper__semilattice__class_Osup(V_A,c_HOL_Ominus__class_Ominus(V_B,V_A,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)) ).
% 18.89/18.99
% 18.89/18.99 cnf(cls_Int__subset__iff_1,axiom,
% 18.89/18.99 ( c_lessequals(V_C,V_B,tc_fun(T_a,tc_bool))
% 18.89/18.99 | ~ c_lessequals(V_C,c_Lattices_Olower__semilattice__class_Oinf(V_A,V_B,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)) ) ).
% 18.89/18.99
% 18.89/18.99 cnf(cls_Int__subset__iff_0,axiom,
% 18.89/18.99 ( c_lessequals(V_C,V_A,tc_fun(T_a,tc_bool))
% 18.89/18.99 | ~ c_lessequals(V_C,c_Lattices_Olower__semilattice__class_Oinf(V_A,V_B,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)) ) ).
% 18.89/18.99
% 18.89/18.99 cnf(cls_le__infE_0,axiom,
% 18.89/18.99 ( ~ class_Lattices_Olower__semilattice(T_a)
% 18.89/18.99 | c_lessequals(V_x,V_a,T_a)
% 18.89/18.99 | ~ c_lessequals(V_x,c_Lattices_Olower__semilattice__class_Oinf(V_a,V_b,T_a),T_a) ) ).
% 18.89/18.99
% 18.89/18.99 cnf(cls_le__infE_1,axiom,
% 18.89/18.99 ( ~ class_Lattices_Olower__semilattice(T_a)
% 18.89/18.99 | c_lessequals(V_x,V_b,T_a)
% 18.89/18.99 | ~ c_lessequals(V_x,c_Lattices_Olower__semilattice__class_Oinf(V_a,V_b,T_a),T_a) ) ).
% 18.89/18.99
% 18.89/18.99 cnf(cls_le__infI1_0,axiom,
% 18.89/18.99 ( ~ class_Lattices_Olower__semilattice(T_a)
% 18.89/18.99 | c_lessequals(c_Lattices_Olower__semilattice__class_Oinf(V_a,V_b,T_a),V_x,T_a)
% 18.89/18.99 | ~ c_lessequals(V_a,V_x,T_a) ) ).
% 18.89/18.99
% 18.89/18.99 cnf(cls_le__infI2_0,axiom,
% 18.89/18.99 ( ~ class_Lattices_Olower__semilattice(T_a)
% 18.89/18.99 | c_lessequals(c_Lattices_Olower__semilattice__class_Oinf(V_a,V_b,T_a),V_x,T_a)
% 18.89/18.99 | ~ c_lessequals(V_b,V_x,T_a) ) ).
% 18.89/18.99
% 18.89/18.99 cnf(cls_ns__sharedp_ONS2_0,axiom,
% 18.89/18.99 ( 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))
% 18.89/18.99 | ~ 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)
% 18.89/18.99 | ~ c_in(V_KAB,c_Message_OsymKeys,tc_nat)
% 18.89/18.99 | c_in(hAPP(c_Message_Omsg_OKey,V_KAB),c_Event_Oused(V_evs2),tc_Message_Omsg)
% 18.89/18.99 | ~ c_NS__Shared__Mirabelle_Ons__sharedp(V_evs2) ) ).
% 18.89/18.99
% 18.89/18.99 cnf(cls_ns__shared_OOops_0,axiom,
% 18.89/18.99 ( 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))
% 18.89/18.99 | ~ 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)
% 18.89/18.99 | ~ 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)
% 18.89/18.99 | ~ c_in(V_evso,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent)) ) ).
% 18.89/18.99
% 18.89/18.99 cnf(cls_ns__sharedp_ONS4_0,axiom,
% 18.89/18.99 ( 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))
% 18.89/18.99 | ~ 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)
% 18.89/18.99 | ~ c_in(V_K,c_Message_OsymKeys,tc_nat)
% 18.89/18.99 | c_in(c_Message_Omsg_ONonce(V_NB),c_Event_Oused(V_evs4),tc_Message_Omsg)
% 18.89/18.99 | ~ c_NS__Shared__Mirabelle_Ons__sharedp(V_evs4) ) ).
% 18.89/18.99
% 18.89/18.99 cnf(cls_Diff__Int__distrib_0,axiom,
% 18.89/18.99 c_Lattices_Olower__semilattice__class_Oinf(V_C,c_HOL_Ominus__class_Ominus(V_A,V_B,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)) = c_HOL_Ominus__class_Ominus(c_Lattices_Olower__semilattice__class_Oinf(V_C,V_A,tc_fun(T_a,tc_bool)),c_Lattices_Olower__semilattice__class_Oinf(V_C,V_B,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)) ).
% 18.89/18.99
% 18.89/18.99 cnf(cls_Diff__Int__distrib2_0,axiom,
% 18.89/18.99 c_Lattices_Olower__semilattice__class_Oinf(c_HOL_Ominus__class_Ominus(V_A,V_B,tc_fun(T_a,tc_bool)),V_C,tc_fun(T_a,tc_bool)) = c_HOL_Ominus__class_Ominus(c_Lattices_Olower__semilattice__class_Oinf(V_A,V_C,tc_fun(T_a,tc_bool)),c_Lattices_Olower__semilattice__class_Oinf(V_B,V_C,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)) ).
% 18.89/18.99
% 18.89/18.99 cnf(cls_analz__subset__iff_0,axiom,
% 18.89/18.99 ( c_lessequals(V_G,c_Message_Oanalz(V_H),tc_fun(tc_Message_Omsg,tc_bool))
% 18.89/18.99 | ~ c_lessequals(c_Message_Oanalz(V_G),c_Message_Oanalz(V_H),tc_fun(tc_Message_Omsg,tc_bool)) ) ).
% 18.89/18.99
% 18.89/18.99 cnf(cls_analz__subset__iff_1,axiom,
% 18.89/18.99 ( c_lessequals(c_Message_Oanalz(V_G),c_Message_Oanalz(V_H),tc_fun(tc_Message_Omsg,tc_bool))
% 18.89/18.99 | ~ c_lessequals(V_G,c_Message_Oanalz(V_H),tc_fun(tc_Message_Omsg,tc_bool)) ) ).
% 18.89/18.99
% 18.89/18.99 cnf(cls_fun__upd__upd_0,axiom,
% 18.89/18.99 c_Fun_Ofun__upd(c_Fun_Ofun__upd(V_f,V_x,V_y,T_a,T_b),V_x,V_z,T_a,T_b) = c_Fun_Ofun__upd(V_f,V_x,V_z,T_a,T_b) ).
% 18.89/18.99
% 18.89/18.99 cnf(cls_Diff__mono_0,axiom,
% 18.89/18.99 ( c_lessequals(c_HOL_Ominus__class_Ominus(V_A,V_B,tc_fun(T_a,tc_bool)),c_HOL_Ominus__class_Ominus(V_C,V_D,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool))
% 18.89/18.99 | ~ c_lessequals(V_D,V_B,tc_fun(T_a,tc_bool))
% 18.89/18.99 | ~ c_lessequals(V_A,V_C,tc_fun(T_a,tc_bool)) ) ).
% 18.89/18.99
% 18.89/18.99 cnf(cls_msg_Osimps_I15_J_0,axiom,
% 18.89/18.99 c_Message_Omsg_OHash(V_msg_H) != c_Message_Omsg_OAgent(V_agent) ).
% 18.89/18.99
% 18.89/18.99 cnf(cls_distrib__sup__le_0,axiom,
% 18.89/18.99 ( ~ class_Lattices_Olattice(T_a)
% 18.89/18.99 | c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(V_x,c_Lattices_Olower__semilattice__class_Oinf(V_y,V_z,T_a),T_a),c_Lattices_Olower__semilattice__class_Oinf(c_Lattices_Oupper__semilattice__class_Osup(V_x,V_y,T_a),c_Lattices_Oupper__semilattice__class_Osup(V_x,V_z,T_a),T_a),T_a) ) ).
% 18.89/18.99
% 18.89/18.99 cnf(cls_Diff__Int2_0,axiom,
% 18.89/18.99 c_HOL_Ominus__class_Ominus(c_Lattices_Olower__semilattice__class_Oinf(V_A,V_C,tc_fun(T_a,tc_bool)),c_Lattices_Olower__semilattice__class_Oinf(V_B,V_C,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)) = c_HOL_Ominus__class_Ominus(c_Lattices_Olower__semilattice__class_Oinf(V_A,V_C,tc_fun(T_a,tc_bool)),V_B,tc_fun(T_a,tc_bool)) ).
% 18.89/18.99
% 18.89/18.99 cnf(cls_sup__inf__absorb_0,axiom,
% 18.89/18.99 ( ~ class_Lattices_Olattice(T_a)
% 18.89/18.99 | c_Lattices_Oupper__semilattice__class_Osup(V_x,c_Lattices_Olower__semilattice__class_Oinf(V_x,V_y,T_a),T_a) = V_x ) ).
% 18.89/18.99
% 18.89/18.99 cnf(cls_Nonce__neq__HPair_0,axiom,
% 18.89/18.99 c_Message_Omsg_ONonce(V_N) != c_Message_OHPair(V_X,V_Y) ).
% 18.89/18.99
% 18.89/18.99 cnf(cls_equalityI_0,axiom,
% 18.89/18.99 ( V_A = V_B
% 18.89/18.99 | ~ c_lessequals(V_B,V_A,tc_fun(T_a,tc_bool))
% 18.89/18.99 | ~ c_lessequals(V_A,V_B,tc_fun(T_a,tc_bool)) ) ).
% 18.89/18.99
% 18.89/18.99 cnf(cls_set__eq__subset_2,axiom,
% 18.89/18.99 ( V_A = V_B
% 18.89/18.99 | ~ c_lessequals(V_B,V_A,tc_fun(T_a,tc_bool))
% 18.89/18.99 | ~ c_lessequals(V_A,V_B,tc_fun(T_a,tc_bool)) ) ).
% 18.89/18.99
% 18.89/18.99 cnf(cls_order__eq__iff_2,axiom,
% 18.89/18.99 ( ~ class_Orderings_Oorder(T_a)
% 18.89/18.99 | V_x = V_y
% 18.89/18.99 | ~ c_lessequals(V_y,V_x,T_a)
% 18.89/18.99 | ~ c_lessequals(V_x,V_y,T_a) ) ).
% 18.89/18.99
% 18.89/18.99 cnf(cls_order__antisym_0,axiom,
% 18.89/18.99 ( ~ class_Orderings_Oorder(T_a)
% 18.89/18.99 | V_x = V_y
% 18.89/18.99 | ~ c_lessequals(V_y,V_x,T_a)
% 18.89/18.99 | ~ c_lessequals(V_x,V_y,T_a) ) ).
% 18.89/18.99
% 18.89/18.99 cnf(cls_order__antisym__conv_0,axiom,
% 18.89/18.99 ( ~ class_Orderings_Oorder(T_a)
% 18.89/18.99 | V_x = V_y
% 18.89/18.99 | ~ c_lessequals(V_x,V_y,T_a)
% 18.89/18.99 | ~ c_lessequals(V_y,V_x,T_a) ) ).
% 18.89/18.99
% 18.89/18.99 cnf(cls_inf__sup__absorb_0,axiom,
% 18.89/18.99 ( ~ class_Lattices_Olattice(T_a)
% 18.89/18.99 | c_Lattices_Olower__semilattice__class_Oinf(V_x,c_Lattices_Oupper__semilattice__class_Osup(V_x,V_y,T_a),T_a) = V_x ) ).
% 18.89/18.99
% 18.89/18.99 cnf(cls_Un__Diff__Int_0,axiom,
% 18.89/18.99 c_Lattices_Oupper__semilattice__class_Osup(c_HOL_Ominus__class_Ominus(V_A,V_B,tc_fun(T_a,tc_bool)),c_Lattices_Olower__semilattice__class_Oinf(V_A,V_B,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)) = V_A ).
% 18.89/18.99
% 18.89/18.99 cnf(cls_sup__absorb1_0,axiom,
% 18.89/18.99 ( ~ class_Lattices_Oupper__semilattice(T_a)
% 18.89/18.99 | c_Lattices_Oupper__semilattice__class_Osup(V_x,V_y,T_a) = V_x
% 18.89/18.99 | ~ c_lessequals(V_y,V_x,T_a) ) ).
% 18.89/18.99
% 18.89/18.99 cnf(cls_le__iff__sup_1,axiom,
% 18.89/18.99 ( ~ class_Lattices_Oupper__semilattice(T_a)
% 18.89/18.99 | c_Lattices_Oupper__semilattice__class_Osup(V_x,V_y,T_a) != V_y
% 18.89/18.99 | c_lessequals(V_x,V_y,T_a) ) ).
% 18.89/18.99
% 18.89/18.99 cnf(cls_le__iff__sup_0,axiom,
% 18.89/18.99 ( ~ class_Lattices_Oupper__semilattice(T_a)
% 18.89/18.99 | c_Lattices_Oupper__semilattice__class_Osup(V_x,V_y,T_a) = V_y
% 18.89/18.99 | ~ c_lessequals(V_x,V_y,T_a) ) ).
% 18.89/18.99
% 18.89/18.99 cnf(cls_Un__absorb1_0,axiom,
% 18.89/18.99 ( c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_a,tc_bool)) = V_B
% 18.89/18.99 | ~ c_lessequals(V_A,V_B,tc_fun(T_a,tc_bool)) ) ).
% 18.89/18.99
% 18.89/18.99 cnf(cls_Un__absorb2_0,axiom,
% 18.89/18.99 ( c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_a,tc_bool)) = V_A
% 18.89/18.99 | ~ c_lessequals(V_B,V_A,tc_fun(T_a,tc_bool)) ) ).
% 18.89/18.99
% 18.89/18.99 cnf(cls_subset__Un__eq_1,axiom,
% 18.89/18.99 ( c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_a,tc_bool)) != V_B
% 18.89/18.99 | c_lessequals(V_A,V_B,tc_fun(T_a,tc_bool)) ) ).
% 18.89/18.99
% 18.89/18.99 cnf(cls_knows__Spy__subset__knows__Spy__Says_0,axiom,
% 18.89/18.99 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)) ).
% 18.89/18.99
% 18.89/18.99 cnf(cls_Hash__neq__HPair_0,axiom,
% 18.89/18.99 c_Message_Omsg_OHash(V_Z) != c_Message_OHPair(V_X,V_Y) ).
% 18.89/18.99
% 18.89/18.99 cnf(cls_list_Osimps_I2_J_0,axiom,
% 18.89/18.99 c_List_Olist_ONil(T_a) != c_List_Olist_OCons(V_a_H,V_list_H,T_a) ).
% 18.89/18.99
% 18.89/18.99 cnf(cls_fun__upd__idem_0,axiom,
% 18.89/18.99 c_Fun_Ofun__upd(V_f,V_x,hAPP(V_f,V_x),T_b,T_a) = V_f ).
% 18.89/18.99
% 18.89/18.99 cnf(cls_fun__upd__same_0,axiom,
% 18.89/18.99 hAPP(c_Fun_Ofun__upd(V_f,V_x,V_y,T_b,T_a),V_x) = V_y ).
% 18.89/18.99
% 18.89/18.99 cnf(cls_fun__upd__triv_0,axiom,
% 18.89/18.99 c_Fun_Ofun__upd(V_f,V_x,hAPP(V_f,V_x),T_a,T_b) = V_f ).
% 18.89/18.99
% 18.89/18.99 cnf(cls_fun__upd__apply_0,axiom,
% 18.89/18.99 hAPP(c_Fun_Ofun__upd(V_f,V_x,V_y,T_a,T_aa),V_x) = V_y ).
% 18.89/18.99
% 18.89/18.99 cnf(cls_fun__upd__idem__iff_1,axiom,
% 18.89/18.99 c_Fun_Ofun__upd(V_f,V_x,hAPP(V_f,V_x),T_aa,T_a) = V_f ).
% 18.89/18.99
% 18.89/18.99 cnf(cls_msg_Osimps_I45_J_0,axiom,
% 18.89/18.99 c_Message_Omsg_OMPair(V_msg1_H,V_msg2_H) != c_Message_Omsg_OHash(V_msg) ).
% 18.89/18.99
% 18.89/18.99 cnf(cls_msg_Osimps_I5_J_0,axiom,
% 18.89/18.99 ( c_Message_Omsg_OHash(V_msg) != c_Message_Omsg_OHash(V_msg_H)
% 18.89/18.99 | V_msg = V_msg_H ) ).
% 18.89/18.99
% 18.89/18.99 cnf(cls_set__subset__Cons_0,axiom,
% 18.89/18.99 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)) ).
% 18.89/18.99
% 18.89/18.99 cnf(cls_Un__mono_0,axiom,
% 18.89/18.99 ( 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))
% 18.89/18.99 | ~ c_lessequals(V_B,V_D,tc_fun(T_a,tc_bool))
% 18.89/18.99 | ~ c_lessequals(V_A,V_C,tc_fun(T_a,tc_bool)) ) ).
% 18.89/18.99
% 18.89/18.99 cnf(cls_inf__sup__ord_I1_J_0,axiom,
% 18.89/18.99 ( ~ class_Lattices_Olattice(T_a)
% 18.89/18.99 | c_lessequals(c_Lattices_Olower__semilattice__class_Oinf(V_x,V_y,T_a),V_x,T_a) ) ).
% 18.89/18.99
% 18.89/18.99 cnf(cls_inf__sup__ord_I2_J_0,axiom,
% 18.89/18.99 ( ~ class_Lattices_Olattice(T_a)
% 18.89/18.99 | c_lessequals(c_Lattices_Olower__semilattice__class_Oinf(V_x,V_y,T_a),V_y,T_a) ) ).
% 18.89/18.99
% 18.89/18.99 cnf(cls_inf__greatest_0,axiom,
% 18.89/18.99 ( ~ class_Lattices_Olower__semilattice(T_a)
% 18.89/18.99 | c_lessequals(V_x,c_Lattices_Olower__semilattice__class_Oinf(V_y,V_z,T_a),T_a)
% 18.89/18.99 | ~ c_lessequals(V_x,V_z,T_a)
% 18.89/18.99 | ~ c_lessequals(V_x,V_y,T_a) ) ).
% 18.89/18.99
% 18.89/18.99 cnf(cls_le__inf__iff_2,axiom,
% 18.89/18.99 ( ~ class_Lattices_Olower__semilattice(T_a)
% 18.89/18.99 | c_lessequals(V_x,c_Lattices_Olower__semilattice__class_Oinf(V_y,V_z,T_a),T_a)
% 18.89/18.99 | ~ c_lessequals(V_x,V_z,T_a)
% 18.89/18.99 | ~ c_lessequals(V_x,V_y,T_a) ) ).
% 18.89/18.99
% 18.89/18.99 cnf(cls_le__infI_0,axiom,
% 18.89/18.99 ( ~ class_Lattices_Olower__semilattice(T_a)
% 18.89/18.99 | c_lessequals(V_x,c_Lattices_Olower__semilattice__class_Oinf(V_a,V_b,T_a),T_a)
% 18.89/18.99 | ~ c_lessequals(V_x,V_b,T_a)
% 18.89/18.99 | ~ c_lessequals(V_x,V_a,T_a) ) ).
% 18.89/18.99
% 18.89/18.99 cnf(cls_inf__le2_0,axiom,
% 18.89/18.99 ( ~ class_Lattices_Olower__semilattice(T_a)
% 18.89/18.99 | c_lessequals(c_Lattices_Olower__semilattice__class_Oinf(V_x,V_y,T_a),V_y,T_a) ) ).
% 18.89/18.99
% 18.89/18.99 cnf(cls_inf__le1_0,axiom,
% 18.89/18.99 ( ~ class_Lattices_Olower__semilattice(T_a)
% 18.89/18.99 | c_lessequals(c_Lattices_Olower__semilattice__class_Oinf(V_x,V_y,T_a),V_x,T_a) ) ).
% 18.89/18.99
% 18.89/18.99 cnf(cls_Int__lower1_0,axiom,
% 18.89/18.99 c_lessequals(c_Lattices_Olower__semilattice__class_Oinf(V_A,V_B,tc_fun(T_a,tc_bool)),V_A,tc_fun(T_a,tc_bool)) ).
% 18.89/18.99
% 18.89/18.99 cnf(cls_Int__lower2_0,axiom,
% 18.89/18.99 c_lessequals(c_Lattices_Olower__semilattice__class_Oinf(V_A,V_B,tc_fun(T_a,tc_bool)),V_B,tc_fun(T_a,tc_bool)) ).
% 18.89/18.99
% 18.89/18.99 cnf(cls_Int__greatest_0,axiom,
% 18.89/18.99 ( c_lessequals(V_C,c_Lattices_Olower__semilattice__class_Oinf(V_A,V_B,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool))
% 18.89/18.99 | ~ c_lessequals(V_C,V_B,tc_fun(T_a,tc_bool))
% 18.89/18.99 | ~ c_lessequals(V_C,V_A,tc_fun(T_a,tc_bool)) ) ).
% 18.89/18.99
% 18.89/18.99 cnf(cls_Int__subset__iff_2,axiom,
% 18.89/18.99 ( c_lessequals(V_C,c_Lattices_Olower__semilattice__class_Oinf(V_A,V_B,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool))
% 18.89/18.99 | ~ c_lessequals(V_C,V_B,tc_fun(T_a,tc_bool))
% 18.89/18.99 | ~ c_lessequals(V_C,V_A,tc_fun(T_a,tc_bool)) ) ).
% 18.89/18.99
% 18.89/18.99 cnf(cls_sup__inf__distrib2_0,axiom,
% 18.89/18.99 ( ~ class_Lattices_Odistrib__lattice(T_a)
% 18.89/18.99 | c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Olower__semilattice__class_Oinf(V_y,V_z,T_a),V_x,T_a) = c_Lattices_Olower__semilattice__class_Oinf(c_Lattices_Oupper__semilattice__class_Osup(V_y,V_x,T_a),c_Lattices_Oupper__semilattice__class_Osup(V_z,V_x,T_a),T_a) ) ).
% 18.89/18.99
% 18.89/18.99 cnf(cls_sup__inf__distrib1_0,axiom,
% 18.89/18.99 ( ~ class_Lattices_Odistrib__lattice(T_a)
% 18.89/18.99 | c_Lattices_Oupper__semilattice__class_Osup(V_x,c_Lattices_Olower__semilattice__class_Oinf(V_y,V_z,T_a),T_a) = c_Lattices_Olower__semilattice__class_Oinf(c_Lattices_Oupper__semilattice__class_Osup(V_x,V_y,T_a),c_Lattices_Oupper__semilattice__class_Osup(V_x,V_z,T_a),T_a) ) ).
% 18.89/18.99
% 18.89/18.99 cnf(cls_Un__Int__distrib_0,axiom,
% 18.89/18.99 c_Lattices_Oupper__semilattice__class_Osup(V_A,c_Lattices_Olower__semilattice__class_Oinf(V_B,V_C,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)) = c_Lattices_Olower__semilattice__class_Oinf(c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_a,tc_bool)),c_Lattices_Oupper__semilattice__class_Osup(V_A,V_C,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)) ).
% 18.89/18.99
% 18.89/18.99 cnf(cls_Un__Int__distrib2_0,axiom,
% 18.89/18.99 c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Olower__semilattice__class_Oinf(V_B,V_C,tc_fun(T_a,tc_bool)),V_A,tc_fun(T_a,tc_bool)) = c_Lattices_Olower__semilattice__class_Oinf(c_Lattices_Oupper__semilattice__class_Osup(V_B,V_A,tc_fun(T_a,tc_bool)),c_Lattices_Oupper__semilattice__class_Osup(V_C,V_A,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)) ).
% 18.89/18.99
% 18.89/18.99 cnf(cls_keysFor__insert__Crypt_0,axiom,
% 18.89/18.99 c_Message_OkeysFor(c_Set_Oinsert(c_Message_Omsg_OCrypt(V_K,V_X),V_H,tc_Message_Omsg)) = c_Set_Oinsert(c_Message_OinvKey(V_K),c_Message_OkeysFor(V_H),tc_nat) ).
% 18.89/18.99
% 18.89/18.99 cnf(cls_inf__sup__aci_I4_J_0,axiom,
% 18.89/18.99 ( ~ class_Lattices_Olattice(T_a)
% 18.89/18.99 | c_Lattices_Olower__semilattice__class_Oinf(V_x,c_Lattices_Olower__semilattice__class_Oinf(V_x,V_y,T_a),T_a) = c_Lattices_Olower__semilattice__class_Oinf(V_x,V_y,T_a) ) ).
% 18.89/18.99
% 18.89/18.99 cnf(cls_inf__left__idem_0,axiom,
% 18.89/18.99 ( ~ class_Lattices_Olower__semilattice(T_a)
% 18.89/18.99 | c_Lattices_Olower__semilattice__class_Oinf(V_x,c_Lattices_Olower__semilattice__class_Oinf(V_x,V_y,T_a),T_a) = c_Lattices_Olower__semilattice__class_Oinf(V_x,V_y,T_a) ) ).
% 18.89/18.99
% 18.89/18.99 cnf(cls_Int__left__absorb_0,axiom,
% 18.89/18.99 c_Lattices_Olower__semilattice__class_Oinf(V_A,c_Lattices_Olower__semilattice__class_Oinf(V_A,V_B,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)) = c_Lattices_Olower__semilattice__class_Oinf(V_A,V_B,tc_fun(T_a,tc_bool)) ).
% 18.89/18.99
% 18.89/18.99 cnf(cls_invKey_0,axiom,
% 18.89/18.99 c_Message_OinvKey(c_Message_OinvKey(V_K)) = V_K ).
% 18.89/18.99
% 18.89/18.99 cnf(cls_event_Osimps_I1_J_2,axiom,
% 18.89/18.99 ( c_Event_Oevent_OSays(V_agent1,V_agent2,V_msg) != c_Event_Oevent_OSays(V_agent1_H,V_agent2_H,V_msg_H)
% 18.89/18.99 | V_msg = V_msg_H ) ).
% 18.89/18.99
% 18.89/18.99 cnf(cls_event_Osimps_I1_J_1,axiom,
% 18.89/18.99 ( c_Event_Oevent_OSays(V_agent1,V_agent2,V_msg) != c_Event_Oevent_OSays(V_agent1_H,V_agent2_H,V_msg_H)
% 18.89/18.99 | V_agent2 = V_agent2_H ) ).
% 18.89/18.99
% 18.89/18.99 cnf(cls_event_Osimps_I1_J_0,axiom,
% 18.89/18.99 ( c_Event_Oevent_OSays(V_agent1,V_agent2,V_msg) != c_Event_Oevent_OSays(V_agent1_H,V_agent2_H,V_msg_H)
% 18.89/18.99 | V_agent1 = V_agent1_H ) ).
% 18.89/18.99
% 18.89/18.99 cnf(cls_not__symKeys__priK_0,axiom,
% 18.89/18.99 ~ c_in(c_Message_OinvKey(hAPP(c_Public_OpublicKey(V_b),V_A)),c_Message_OsymKeys,tc_nat) ).
% 18.89/18.99
% 18.89/18.99 cnf(cls_synth__increasing_0,axiom,
% 18.89/18.99 c_lessequals(V_H,c_Message_Osynth(V_H),tc_fun(tc_Message_Omsg,tc_bool)) ).
% 18.89/18.99
% 18.89/18.99 cnf(cls_inf__idem_0,axiom,
% 18.89/18.99 ( ~ class_Lattices_Olower__semilattice(T_a)
% 18.89/18.99 | c_Lattices_Olower__semilattice__class_Oinf(V_x,V_x,T_a) = V_x ) ).
% 18.89/18.99
% 18.89/18.99 cnf(cls_Int__absorb_0,axiom,
% 18.89/18.99 c_Lattices_Olower__semilattice__class_Oinf(V_A,V_A,tc_fun(T_a,tc_bool)) = V_A ).
% 18.89/18.99
% 18.89/18.99 cnf(cls_set__empty2_1,axiom,
% 18.89/18.99 c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)) = c_List_Oset(c_List_Olist_ONil(T_a),T_a) ).
% 18.89/18.99
% 18.89/18.99 cnf(cls_le__sup__iff_1,axiom,
% 18.89/18.99 ( ~ class_Lattices_Oupper__semilattice(T_a)
% 18.89/18.99 | c_lessequals(V_y,V_z,T_a)
% 18.89/18.99 | ~ c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(V_x,V_y,T_a),V_z,T_a) ) ).
% 18.89/18.99
% 18.89/18.99 cnf(cls_le__sup__iff_0,axiom,
% 18.89/18.99 ( ~ class_Lattices_Oupper__semilattice(T_a)
% 18.89/18.99 | c_lessequals(V_x,V_z,T_a)
% 18.89/18.99 | ~ c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(V_x,V_y,T_a),V_z,T_a) ) ).
% 18.89/18.99
% 18.89/18.99 cnf(cls_le__supI2_0,axiom,
% 18.89/18.99 ( ~ class_Lattices_Oupper__semilattice(T_a)
% 18.89/18.99 | c_lessequals(V_x,c_Lattices_Oupper__semilattice__class_Osup(V_a,V_b,T_a),T_a)
% 18.89/18.99 | ~ c_lessequals(V_x,V_b,T_a) ) ).
% 18.89/18.99
% 18.89/18.99 cnf(cls_le__supI1_0,axiom,
% 18.89/18.99 ( ~ class_Lattices_Oupper__semilattice(T_a)
% 18.89/18.99 | c_lessequals(V_x,c_Lattices_Oupper__semilattice__class_Osup(V_a,V_b,T_a),T_a)
% 18.89/18.99 | ~ c_lessequals(V_x,V_a,T_a) ) ).
% 18.89/18.99
% 18.89/18.99 cnf(cls_le__supE_1,axiom,
% 18.89/18.99 ( ~ class_Lattices_Oupper__semilattice(T_a)
% 18.89/18.99 | c_lessequals(V_b,V_x,T_a)
% 18.89/18.99 | ~ c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(V_a,V_b,T_a),V_x,T_a) ) ).
% 18.89/18.99
% 18.89/18.99 cnf(cls_le__supE_0,axiom,
% 18.89/18.99 ( ~ class_Lattices_Oupper__semilattice(T_a)
% 18.89/18.99 | c_lessequals(V_a,V_x,T_a)
% 18.89/18.99 | ~ c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(V_a,V_b,T_a),V_x,T_a) ) ).
% 18.89/18.99
% 18.89/18.99 cnf(cls_Un__subset__iff_0,axiom,
% 18.89/18.99 ( c_lessequals(V_A,V_C,tc_fun(T_a,tc_bool))
% 18.89/18.99 | ~ 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)) ) ).
% 18.89/18.99
% 18.89/18.99 cnf(cls_Un__subset__iff_1,axiom,
% 18.89/18.99 ( c_lessequals(V_B,V_C,tc_fun(T_a,tc_bool))
% 18.89/18.99 | ~ 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)) ) ).
% 18.89/18.99
% 18.89/18.99 cnf(cls_xt1_I6_J_0,axiom,
% 18.89/18.99 ( ~ class_Orderings_Oorder(T_a)
% 18.89/18.99 | c_lessequals(V_z,V_x,T_a)
% 18.89/18.99 | ~ c_lessequals(V_z,V_y,T_a)
% 18.89/18.99 | ~ c_lessequals(V_y,V_x,T_a) ) ).
% 18.89/18.99
% 18.89/18.99 cnf(cls_order__trans_0,axiom,
% 18.89/18.99 ( ~ class_Orderings_Opreorder(T_a)
% 18.89/18.99 | c_lessequals(V_x,V_z,T_a)
% 18.89/18.99 | ~ c_lessequals(V_y,V_z,T_a)
% 18.89/18.99 | ~ c_lessequals(V_x,V_y,T_a) ) ).
% 18.89/18.99
% 18.89/18.99 cnf(cls_equalityE_0,axiom,
% 18.89/18.99 c_lessequals(V_x,V_x,tc_fun(T_a,tc_bool)) ).
% 18.89/18.99
% 18.89/18.99 cnf(cls_subset__refl_0,axiom,
% 18.89/18.99 c_lessequals(V_A,V_A,tc_fun(T_a,tc_bool)) ).
% 18.89/18.99
% 18.89/18.99 cnf(cls_subset__trans_0,axiom,
% 18.89/18.99 ( c_lessequals(V_A,V_C,tc_fun(T_a,tc_bool))
% 18.89/18.99 | ~ c_lessequals(V_B,V_C,tc_fun(T_a,tc_bool))
% 18.89/18.99 | ~ c_lessequals(V_A,V_B,tc_fun(T_a,tc_bool)) ) ).
% 18.89/18.99
% 18.89/18.99 cnf(cls_subset__inj__on_0,axiom,
% 18.89/18.99 ( c_Fun_Oinj__on(V_f,V_A,T_a,T_b)
% 18.89/18.99 | ~ c_lessequals(V_A,V_B,tc_fun(T_a,tc_bool))
% 18.89/18.99 | ~ c_Fun_Oinj__on(V_f,V_B,T_a,T_b) ) ).
% 18.89/18.99
% 18.89/18.99 cnf(cls_predicate1D_0,axiom,
% 18.89/18.99 ( hBOOL(hAPP(V_Q,V_x))
% 18.89/18.99 | ~ hBOOL(hAPP(V_P,V_x))
% 18.89/18.99 | ~ c_lessequals(V_P,V_Q,tc_fun(T_a,tc_bool)) ) ).
% 18.89/18.99
% 18.89/18.99 cnf(cls_order__eq__iff_0,axiom,
% 18.89/18.99 ( ~ class_Orderings_Oorder(T_a)
% 18.89/18.99 | c_lessequals(V_x,V_x,T_a) ) ).
% 18.89/18.99
% 18.89/18.99 cnf(cls_order__eq__refl_0,axiom,
% 18.89/18.99 ( ~ class_Orderings_Opreorder(T_a)
% 18.89/18.99 | c_lessequals(V_x,V_x,T_a) ) ).
% 18.89/18.99
% 18.89/18.99 cnf(cls_rev__predicate1D_0,axiom,
% 18.89/18.99 ( hBOOL(hAPP(V_Q,V_x))
% 18.89/18.99 | ~ c_lessequals(V_P,V_Q,tc_fun(T_a,tc_bool))
% 18.89/18.99 | ~ hBOOL(hAPP(V_P,V_x)) ) ).
% 18.89/18.99
% 18.89/18.99 cnf(cls_list_Oinject_0,axiom,
% 18.89/18.99 ( c_List_Olist_OCons(V_a,V_list,T_a) != c_List_Olist_OCons(V_a_H,V_list_H,T_a)
% 18.89/18.99 | V_a = V_a_H ) ).
% 18.89/18.99
% 18.89/18.99 cnf(cls_list_Oinject_1,axiom,
% 18.89/18.99 ( c_List_Olist_OCons(V_a,V_list,T_a) != c_List_Olist_OCons(V_a_H,V_list_H,T_a)
% 18.89/18.99 | V_list = V_list_H ) ).
% 18.89/18.99
% 18.89/18.99 cnf(cls_Int__mono_0,axiom,
% 18.89/18.99 ( c_lessequals(c_Lattices_Olower__semilattice__class_Oinf(V_A,V_B,tc_fun(T_a,tc_bool)),c_Lattices_Olower__semilattice__class_Oinf(V_C,V_D,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool))
% 18.89/18.99 | ~ c_lessequals(V_B,V_D,tc_fun(T_a,tc_bool))
% 18.89/18.99 | ~ c_lessequals(V_A,V_C,tc_fun(T_a,tc_bool)) ) ).
% 18.89/18.99
% 18.89/18.99 cnf(cls_analz__mono_0,axiom,
% 18.89/18.99 ( c_lessequals(c_Message_Oanalz(V_G),c_Message_Oanalz(V_H),tc_fun(tc_Message_Omsg,tc_bool))
% 18.89/18.99 | ~ c_lessequals(V_G,V_H,tc_fun(tc_Message_Omsg,tc_bool)) ) ).
% 18.89/18.99
% 18.89/18.99 cnf(cls_Diff__Un_0,axiom,
% 18.89/18.99 c_HOL_Ominus__class_Ominus(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_Olower__semilattice__class_Oinf(c_HOL_Ominus__class_Ominus(V_A,V_B,tc_fun(T_a,tc_bool)),c_HOL_Ominus__class_Ominus(V_A,V_C,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)) ).
% 18.89/18.99
% 18.89/18.99 cnf(cls_Int__Diff_0,axiom,
% 18.89/18.99 c_HOL_Ominus__class_Ominus(c_Lattices_Olower__semilattice__class_Oinf(V_A,V_B,tc_fun(T_a,tc_bool)),V_C,tc_fun(T_a,tc_bool)) = c_Lattices_Olower__semilattice__class_Oinf(V_A,c_HOL_Ominus__class_Ominus(V_B,V_C,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)) ).
% 18.89/18.99
% 18.89/18.99 cnf(cls_inj__on__image__set__diff_0,axiom,
% 18.89/18.99 ( c_Set_Oimage(V_f,c_HOL_Ominus__class_Ominus(V_A,V_B,tc_fun(T_a,tc_bool)),T_a,T_b) = c_HOL_Ominus__class_Ominus(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))
% 18.89/18.99 | ~ c_lessequals(V_B,V_C,tc_fun(T_a,tc_bool))
% 18.89/18.99 | ~ c_lessequals(V_A,V_C,tc_fun(T_a,tc_bool))
% 18.89/18.99 | ~ c_Fun_Oinj__on(V_f,V_C,T_a,T_b) ) ).
% 18.89/18.99
% 18.89/18.99 cnf(cls_keysFor__insert__Hash_0,axiom,
% 18.89/18.99 c_Message_OkeysFor(c_Set_Oinsert(c_Message_Omsg_OHash(V_X),V_H,tc_Message_Omsg)) = c_Message_OkeysFor(V_H) ).
% 18.89/18.99
% 18.89/18.99 cnf(cls_Diff__Int_0,axiom,
% 18.89/18.99 c_HOL_Ominus__class_Ominus(V_A,c_Lattices_Olower__semilattice__class_Oinf(V_B,V_C,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)) = c_Lattices_Oupper__semilattice__class_Osup(c_HOL_Ominus__class_Ominus(V_A,V_B,tc_fun(T_a,tc_bool)),c_HOL_Ominus__class_Ominus(V_A,V_C,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)) ).
% 18.89/18.99
% 18.89/18.99 cnf(cls_vimage__code_0,axiom,
% 18.89/18.99 ( hBOOL(hAPP(V_A,hAPP(V_f,V_x)))
% 18.89/18.99 | ~ hBOOL(hAPP(c_Set_Ovimage(V_f,V_A,T_a,T_b),V_x)) ) ).
% 18.89/18.99
% 18.89/18.99 cnf(cls_vimage__code_1,axiom,
% 18.89/18.99 ( hBOOL(hAPP(c_Set_Ovimage(V_f,V_A,T_a,T_b),V_x))
% 18.89/18.99 | ~ hBOOL(hAPP(V_A,hAPP(V_f,V_x))) ) ).
% 18.89/18.99
% 18.89/18.99 cnf(cls_List_Oset_Osimps_I2_J_0,axiom,
% 18.89/18.99 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) ).
% 18.89/18.99
% 18.89/18.99 cnf(cls_inj__transfer_1,axiom,
% 18.89/18.99 ( hBOOL(hAPP(V_P,V_x))
% 18.89/18.99 | ~ hBOOL(hAPP(V_P,hAPP(c_Hilbert__Choice_Oinv__into(c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_bool)),V_f,T_a,T_b),c_ATP__Linkup_Osko__Hilbert__Choice__Xinj__transfer__1__1(V_P,V_f,T_a,T_b))))
% 18.89/18.99 | ~ c_Fun_Oinj__on(V_f,c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_bool)),T_a,T_b) ) ).
% 18.89/18.99
% 18.89/18.99 cnf(cls_Agent__neq__HPair_0,axiom,
% 18.89/18.99 c_Message_Omsg_OAgent(V_A) != c_Message_OHPair(V_X,V_Y) ).
% 18.89/18.99
% 18.89/18.99 cnf(cls_inf1I_0,axiom,
% 18.89/18.99 ( hBOOL(hAPP(c_Lattices_Olower__semilattice__class_Oinf(V_A,V_B,tc_fun(T_a,tc_bool)),V_x))
% 18.89/18.99 | ~ hBOOL(hAPP(V_B,V_x))
% 18.89/18.99 | ~ hBOOL(hAPP(V_A,V_x)) ) ).
% 18.89/18.99
% 18.89/18.99 cnf(cls_fun__upd__apply_1,axiom,
% 18.89/18.99 ( hAPP(c_Fun_Ofun__upd(V_f,V_x,V_y,T_b,T_a),V_z) = hAPP(V_f,V_z)
% 18.89/18.99 | V_z = V_x ) ).
% 18.89/18.99
% 18.89/18.99 cnf(cls_fun__upd__other_0,axiom,
% 18.89/18.99 ( hAPP(c_Fun_Ofun__upd(V_f,V_x,V_y,T_a,T_b),V_z) = hAPP(V_f,V_z)
% 18.89/18.99 | V_z = V_x ) ).
% 18.89/18.99
% 18.89/18.99 cnf(cls_Says__imp__knows_0,axiom,
% 18.89/18.99 ( c_in(V_X,c_Event_Oknows(V_A,V_evs),tc_Message_Omsg)
% 18.89/18.99 | ~ c_in(c_Event_Oevent_OSays(V_A,V_B,V_X),c_List_Oset(V_evs,tc_Event_Oevent),tc_Event_Oevent) ) ).
% 18.89/18.99
% 18.89/18.99 cnf(cls_le__inf__iff_0,axiom,
% 18.89/18.99 ( ~ class_Lattices_Olower__semilattice(T_a)
% 18.89/18.99 | c_lessequals(V_x,V_y,T_a)
% 18.89/18.99 | ~ c_lessequals(V_x,c_Lattices_Olower__semilattice__class_Oinf(V_y,V_z,T_a),T_a) ) ).
% 18.89/18.99
% 18.89/18.99 cnf(cls_le__inf__iff_1,axiom,
% 18.89/18.99 ( ~ class_Lattices_Olower__semilattice(T_a)
% 18.89/18.99 | c_lessequals(V_x,V_z,T_a)
% 18.89/18.99 | ~ c_lessequals(V_x,c_Lattices_Olower__semilattice__class_Oinf(V_y,V_z,T_a),T_a) ) ).
% 18.89/18.99
% 18.89/18.99 cnf(cls_MPair__eq__HPair_0,axiom,
% 18.89/18.99 ( c_Message_Omsg_OMPair(V_X_H,V_Y_H) != c_Message_OHPair(V_X,V_Y)
% 18.89/18.99 | V_X_H = c_Message_Omsg_OHash(c_Message_Omsg_OMPair(V_X,V_Y)) ) ).
% 18.89/18.99
% 18.89/18.99 cnf(cls_Un__Diff_0,axiom,
% 18.89/18.99 c_HOL_Ominus__class_Ominus(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(c_HOL_Ominus__class_Ominus(V_A,V_C,tc_fun(T_a,tc_bool)),c_HOL_Ominus__class_Ominus(V_B,V_C,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)) ).
% 18.89/18.99
% 18.89/18.99 cnf(cls_MPair__eq__HPair_2,axiom,
% 18.89/18.99 c_Message_Omsg_OMPair(c_Message_Omsg_OHash(c_Message_Omsg_OMPair(V_X,V_x)),V_x) = c_Message_OHPair(V_X,V_x) ).
% 18.89/18.99
% 18.89/18.99 cnf(cls_Diff__disjoint_0,axiom,
% 18.89/18.99 c_Lattices_Olower__semilattice__class_Oinf(V_A,c_HOL_Ominus__class_Ominus(V_B,V_A,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)) = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)) ).
% 18.89/18.99
% 18.89/18.99 cnf(cls_ns__shared_ONS3_0,axiom,
% 18.89/18.99 ( 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))
% 18.89/18.99 | ~ 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)
% 18.89/18.99 | ~ 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)
% 18.89/18.99 | V_A = c_Message_Oagent_OServer
% 18.89/18.99 | ~ c_in(V_evs3,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent)) ) ).
% 18.89/18.99
% 18.89/18.99 cnf(cls_vimage__Un_0,axiom,
% 18.89/18.99 c_Set_Ovimage(V_f,c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_b,tc_bool)),T_a,T_b) = c_Lattices_Oupper__semilattice__class_Osup(c_Set_Ovimage(V_f,V_A,T_a,T_b),c_Set_Ovimage(V_f,V_B,T_a,T_b),tc_fun(T_a,tc_bool)) ).
% 18.89/18.99
% 18.89/18.99 cnf(cls_MPair__eq__HPair_1,axiom,
% 18.89/18.99 ( c_Message_Omsg_OMPair(V_X_H,V_Y_H) != c_Message_OHPair(V_X,V_Y)
% 18.89/18.99 | V_Y_H = V_Y ) ).
% 18.89/18.99
% 18.89/18.99 cnf(cls_msg_Osimps_I14_J_0,axiom,
% 18.89/18.99 c_Message_Omsg_OAgent(V_agent) != c_Message_Omsg_OHash(V_msg_H) ).
% 18.89/18.99
% 18.89/18.99 cnf(cls_not__Cons__self2_0,axiom,
% 18.89/18.99 c_List_Olist_OCons(V_x,V_t,T_a) != V_t ).
% 18.89/18.99
% 18.89/18.99 cnf(cls_not__Cons__self_0,axiom,
% 18.89/18.99 V_xs != c_List_Olist_OCons(V_x,V_xs,T_a) ).
% 18.89/18.99
% 18.89/18.99 cnf(cls_inf1E_1,axiom,
% 18.89/18.99 ( hBOOL(hAPP(V_B,V_x))
% 18.89/18.99 | ~ hBOOL(hAPP(c_Lattices_Olower__semilattice__class_Oinf(V_A,V_B,tc_fun(T_a,tc_bool)),V_x)) ) ).
% 18.89/18.99
% 18.89/18.99 cnf(cls_inf1E_0,axiom,
% 18.89/18.99 ( hBOOL(hAPP(V_A,V_x))
% 18.89/18.99 | ~ hBOOL(hAPP(c_Lattices_Olower__semilattice__class_Oinf(V_A,V_B,tc_fun(T_a,tc_bool)),V_x)) ) ).
% 18.89/19.00
% 18.89/19.00 cnf(cls_fun__upd__idem__iff_0,axiom,
% 18.89/19.00 ( c_Fun_Ofun__upd(V_f,V_x,V_y,T_a,T_b) != V_f
% 18.89/19.00 | hAPP(V_f,V_x) = V_y ) ).
% 18.89/19.00
% 18.89/19.00 cnf(cls_knows__subset__knows__Says_0,axiom,
% 18.89/19.00 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)) ).
% 18.89/19.00
% 18.89/19.00 cnf(cls_Diff__subset__conv_1,axiom,
% 18.89/19.00 ( c_lessequals(c_HOL_Ominus__class_Ominus(V_A,V_B,tc_fun(T_a,tc_bool)),V_C,tc_fun(T_a,tc_bool))
% 18.89/19.00 | ~ c_lessequals(V_A,c_Lattices_Oupper__semilattice__class_Osup(V_B,V_C,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)) ) ).
% 18.89/19.00
% 18.89/19.00 cnf(cls_Diff__subset__conv_0,axiom,
% 18.89/19.00 ( c_lessequals(V_A,c_Lattices_Oupper__semilattice__class_Osup(V_B,V_C,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool))
% 18.89/19.00 | ~ c_lessequals(c_HOL_Ominus__class_Ominus(V_A,V_B,tc_fun(T_a,tc_bool)),V_C,tc_fun(T_a,tc_bool)) ) ).
% 18.89/19.00
% 18.89/19.00 cnf(cls_vimage__Int_0,axiom,
% 18.89/19.00 c_Set_Ovimage(V_f,c_Lattices_Olower__semilattice__class_Oinf(V_A,V_B,tc_fun(T_b,tc_bool)),T_a,T_b) = c_Lattices_Olower__semilattice__class_Oinf(c_Set_Ovimage(V_f,V_A,T_a,T_b),c_Set_Ovimage(V_f,V_B,T_a,T_b),tc_fun(T_a,tc_bool)) ).
% 18.89/19.00
% 18.89/19.00 cnf(cls_le__funD_0,axiom,
% 18.89/19.00 ( ~ class_HOL_Oord(T_b)
% 18.89/19.00 | c_lessequals(hAPP(V_f,V_x),hAPP(V_g,V_x),T_b)
% 18.89/19.00 | ~ c_lessequals(V_f,V_g,tc_fun(T_a,T_b)) ) ).
% 18.89/19.00
% 18.89/19.00 cnf(cls_Says__imp__analz__Spy_0,axiom,
% 18.89/19.00 ( c_in(V_X,c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,V_evs)),tc_Message_Omsg)
% 18.89/19.00 | ~ c_in(c_Event_Oevent_OSays(V_A,V_B,V_X),c_List_Oset(V_evs,tc_Event_Oevent),tc_Event_Oevent) ) ).
% 18.89/19.00
% 18.89/19.00 cnf(cls_Int__iff_2,axiom,
% 18.89/19.00 ( c_in(V_c,c_Lattices_Olower__semilattice__class_Oinf(V_A,V_B,tc_fun(T_a,tc_bool)),T_a)
% 18.89/19.00 | ~ c_in(V_c,V_B,T_a)
% 18.89/19.00 | ~ c_in(V_c,V_A,T_a) ) ).
% 18.89/19.00
% 18.89/19.00 cnf(cls_IntI_0,axiom,
% 18.89/19.00 ( c_in(V_c,c_Lattices_Olower__semilattice__class_Oinf(V_A,V_B,tc_fun(T_a,tc_bool)),T_a)
% 18.89/19.00 | ~ c_in(V_c,V_B,T_a)
% 18.89/19.00 | ~ c_in(V_c,V_A,T_a) ) ).
% 18.89/19.00
% 18.89/19.00 cnf(cls_subset__iff_0,axiom,
% 18.89/19.00 ( c_in(V_t,V_B,T_a)
% 18.89/19.00 | ~ c_in(V_t,V_A,T_a)
% 18.89/19.00 | ~ c_lessequals(V_A,V_B,tc_fun(T_a,tc_bool)) ) ).
% 18.89/19.00
% 18.89/19.00 cnf(cls_set__rev__mp_0,axiom,
% 18.89/19.00 ( c_in(V_x,V_B,T_a)
% 18.89/19.00 | ~ c_lessequals(V_A,V_B,tc_fun(T_a,tc_bool))
% 18.89/19.00 | ~ c_in(V_x,V_A,T_a) ) ).
% 18.89/19.00
% 18.89/19.00 cnf(cls_subsetD_0,axiom,
% 18.89/19.00 ( c_in(V_c,V_B,T_a)
% 18.89/19.00 | ~ c_in(V_c,V_A,T_a)
% 18.89/19.00 | ~ c_lessequals(V_A,V_B,tc_fun(T_a,tc_bool)) ) ).
% 18.89/19.00
% 18.89/19.00 cnf(cls_set__mp_0,axiom,
% 18.89/19.00 ( c_in(V_x,V_B,T_a)
% 18.89/19.00 | ~ c_in(V_x,V_A,T_a)
% 18.89/19.00 | ~ c_lessequals(V_A,V_B,tc_fun(T_a,tc_bool)) ) ).
% 18.89/19.00
% 18.89/19.00 cnf(cls_DiffE_1,axiom,
% 18.89/19.00 ( ~ c_in(V_c,V_B,T_a)
% 18.89/19.00 | ~ c_in(V_c,c_HOL_Ominus__class_Ominus(V_A,V_B,tc_fun(T_a,tc_bool)),T_a) ) ).
% 18.89/19.00
% 18.89/19.00 cnf(cls_DiffE_0,axiom,
% 18.89/19.00 ( c_in(V_c,V_A,T_a)
% 18.89/19.00 | ~ c_in(V_c,c_HOL_Ominus__class_Ominus(V_A,V_B,tc_fun(T_a,tc_bool)),T_a) ) ).
% 18.89/19.00
% 18.89/19.00 cnf(cls_IntE_1,axiom,
% 18.89/19.00 ( c_in(V_c,V_B,T_a)
% 18.89/19.00 | ~ c_in(V_c,c_Lattices_Olower__semilattice__class_Oinf(V_A,V_B,tc_fun(T_a,tc_bool)),T_a) ) ).
% 18.89/19.00
% 18.89/19.00 cnf(cls_IntE_0,axiom,
% 18.89/19.00 ( c_in(V_c,V_A,T_a)
% 18.89/19.00 | ~ c_in(V_c,c_Lattices_Olower__semilattice__class_Oinf(V_A,V_B,tc_fun(T_a,tc_bool)),T_a) ) ).
% 18.89/19.00
% 18.89/19.00 cnf(cls_Diff__iff_2,axiom,
% 18.89/19.00 ( c_in(V_c,c_HOL_Ominus__class_Ominus(V_A,V_B,tc_fun(T_a,tc_bool)),T_a)
% 18.89/19.00 | c_in(V_c,V_B,T_a)
% 18.89/19.00 | ~ c_in(V_c,V_A,T_a) ) ).
% 18.89/19.00
% 18.89/19.00 cnf(cls_DiffI_0,axiom,
% 18.89/19.00 ( c_in(V_c,c_HOL_Ominus__class_Ominus(V_A,V_B,tc_fun(T_a,tc_bool)),T_a)
% 18.89/19.00 | c_in(V_c,V_B,T_a)
% 18.89/19.00 | ~ c_in(V_c,V_A,T_a) ) ).
% 18.89/19.00
% 18.89/19.00 cnf(cls_vimage__eq_1,axiom,
% 18.89/19.00 ( c_in(V_a,c_Set_Ovimage(V_f,V_B,T_a,T_b),T_a)
% 18.89/19.00 | ~ c_in(hAPP(V_f,V_a),V_B,T_b) ) ).
% 18.89/19.00
% 18.89/19.00 cnf(cls_vimageI2_0,axiom,
% 18.89/19.00 ( c_in(V_a,c_Set_Ovimage(V_f,V_A,T_b,T_a),T_b)
% 18.89/19.00 | ~ c_in(hAPP(V_f,V_a),V_A,T_a) ) ).
% 18.89/19.00
% 18.89/19.00 cnf(cls_vimageI_0,axiom,
% 18.89/19.00 ( c_in(V_a,c_Set_Ovimage(V_f,V_B,T_b,T_a),T_b)
% 18.89/19.00 | ~ c_in(hAPP(V_f,V_a),V_B,T_a) ) ).
% 18.89/19.00
% 18.89/19.00 cnf(cls_vimageE_0,axiom,
% 18.89/19.00 ( c_in(hAPP(V_f,V_a),V_B,T_b)
% 18.89/19.00 | ~ c_in(V_a,c_Set_Ovimage(V_f,V_B,T_a,T_b),T_a) ) ).
% 18.89/19.00
% 18.89/19.00 cnf(cls_vimageD_0,axiom,
% 18.89/19.00 ( c_in(hAPP(V_f,V_a),V_A,T_b)
% 18.89/19.00 | ~ c_in(V_a,c_Set_Ovimage(V_f,V_A,T_a,T_b),T_a) ) ).
% 18.89/19.00
% 18.89/19.00 cnf(cls_inf__bot__left_0,axiom,
% 18.89/19.00 ( ~ class_Lattices_Obounded__lattice(T_a)
% 18.89/19.00 | c_Lattices_Olower__semilattice__class_Oinf(c_Orderings_Obot__class_Obot(T_a),V_x,T_a) = c_Orderings_Obot__class_Obot(T_a) ) ).
% 18.89/19.00
% 18.89/19.00 cnf(cls_inf__bot__right_0,axiom,
% 18.89/19.00 ( ~ class_Lattices_Obounded__lattice(T_a)
% 18.89/19.00 | c_Lattices_Olower__semilattice__class_Oinf(V_x,c_Orderings_Obot__class_Obot(T_a),T_a) = c_Orderings_Obot__class_Obot(T_a) ) ).
% 18.89/19.00
% 18.89/19.00 cnf(cls_bot__least_0,axiom,
% 18.89/19.00 ( ~ class_Orderings_Obot(T_a)
% 18.89/19.00 | c_lessequals(c_Orderings_Obot__class_Obot(T_a),V_x,T_a) ) ).
% 18.89/19.00
% 18.89/19.00 cnf(cls_vimage__empty_0,axiom,
% 18.89/19.00 c_Set_Ovimage(V_f,c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_bool)),T_a,T_b) = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)) ).
% 18.89/19.00
% 18.89/19.00 cnf(cls_subset__empty_1,axiom,
% 18.89/19.00 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)) ).
% 18.89/19.00
% 18.89/19.00 cnf(cls_subset__empty_0,axiom,
% 18.89/19.00 ( V_A = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))
% 18.89/19.00 | ~ c_lessequals(V_A,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)) ) ).
% 18.89/19.00
% 18.89/19.00 cnf(cls_empty__Diff_0,axiom,
% 18.89/19.00 c_HOL_Ominus__class_Ominus(c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),V_A,tc_fun(T_a,tc_bool)) = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)) ).
% 18.89/19.00
% 18.89/19.00 cnf(cls_Diff__cancel_0,axiom,
% 18.89/19.00 c_HOL_Ominus__class_Ominus(V_A,V_A,tc_fun(T_a,tc_bool)) = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)) ).
% 18.89/19.00
% 18.89/19.00 cnf(cls_Diff__empty_0,axiom,
% 18.89/19.00 c_HOL_Ominus__class_Ominus(V_A,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)) = V_A ).
% 18.89/19.00
% 18.89/19.00 cnf(cls_Int__empty__right_0,axiom,
% 18.89/19.00 c_Lattices_Olower__semilattice__class_Oinf(V_A,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)) ).
% 18.89/19.00
% 18.89/19.00 cnf(cls_Int__empty__left_0,axiom,
% 18.89/19.00 c_Lattices_Olower__semilattice__class_Oinf(c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),V_B,tc_fun(T_a,tc_bool)) = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)) ).
% 18.89/19.00
% 18.89/19.00 cnf(cls_empty__subsetI_0,axiom,
% 18.89/19.00 c_lessequals(c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),V_A,tc_fun(T_a,tc_bool)) ).
% 18.89/19.00
% 18.89/19.00 cnf(cls_subset__insert__iff_4,axiom,
% 18.89/19.00 ( c_lessequals(V_A,c_Set_Oinsert(V_x,V_B,T_a),tc_fun(T_a,tc_bool))
% 18.89/19.00 | ~ c_lessequals(V_A,V_B,tc_fun(T_a,tc_bool))
% 18.89/19.00 | ~ c_lessequals(c_HOL_Ominus__class_Ominus(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)),V_B,tc_fun(T_a,tc_bool)) ) ).
% 18.89/19.00
% 18.89/19.00 cnf(cls_insert__mono_0,axiom,
% 18.89/19.00 ( 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))
% 18.89/19.00 | ~ c_lessequals(V_C,V_D,tc_fun(T_a,tc_bool)) ) ).
% 18.89/19.00
% 18.89/19.00 cnf(cls_subset__insertI_0,axiom,
% 18.89/19.00 c_lessequals(V_B,c_Set_Oinsert(V_a,V_B,T_a),tc_fun(T_a,tc_bool)) ).
% 18.89/19.00
% 18.89/19.00 cnf(cls_insert__inter__insert_0,axiom,
% 18.89/19.00 c_Lattices_Olower__semilattice__class_Oinf(c_Set_Oinsert(V_a,V_A,T_a),c_Set_Oinsert(V_a,V_B,T_a),tc_fun(T_a,tc_bool)) = c_Set_Oinsert(V_a,c_Lattices_Olower__semilattice__class_Oinf(V_A,V_B,tc_fun(T_a,tc_bool)),T_a) ).
% 18.89/19.00
% 18.89/19.00 cnf(cls_subset__insertI2_0,axiom,
% 18.89/19.00 ( c_lessequals(V_A,c_Set_Oinsert(V_b,V_B,T_a),tc_fun(T_a,tc_bool))
% 18.89/19.00 | ~ c_lessequals(V_A,V_B,tc_fun(T_a,tc_bool)) ) ).
% 18.89/19.00
% 18.89/19.00 cnf(cls_insert__subset_1,axiom,
% 18.89/19.00 ( c_lessequals(V_A,V_B,tc_fun(T_a,tc_bool))
% 18.89/19.00 | ~ c_lessequals(c_Set_Oinsert(V_x,V_A,T_a),V_B,tc_fun(T_a,tc_bool)) ) ).
% 18.89/19.00
% 18.89/19.00 cnf(cls_subset__image__iff_2,axiom,
% 18.89/19.00 ( ~ c_lessequals(V_x,V_A,tc_fun(T_b,tc_bool))
% 18.89/19.00 | 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)) ) ).
% 18.89/19.00
% 18.89/19.00 cnf(cls_image__mono_0,axiom,
% 18.89/19.00 ( 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))
% 18.89/19.00 | ~ c_lessequals(V_A,V_B,tc_fun(T_a,tc_bool)) ) ).
% 18.89/19.00
% 18.89/19.00 cnf(cls_parts__increasing_0,axiom,
% 18.89/19.00 c_lessequals(V_H,c_Message_Oparts(V_H),tc_fun(tc_Message_Omsg,tc_bool)) ).
% 18.89/19.00
% 18.89/19.00 cnf(cls_parts__mono_0,axiom,
% 18.89/19.00 ( c_lessequals(c_Message_Oparts(V_G),c_Message_Oparts(V_H),tc_fun(tc_Message_Omsg,tc_bool))
% 18.89/19.00 | ~ c_lessequals(V_G,V_H,tc_fun(tc_Message_Omsg,tc_bool)) ) ).
% 18.89/19.00
% 18.89/19.00 cnf(cls_parts__subset__iff_1,axiom,
% 18.89/19.00 ( c_lessequals(c_Message_Oparts(V_G),c_Message_Oparts(V_H),tc_fun(tc_Message_Omsg,tc_bool))
% 18.89/19.00 | ~ c_lessequals(V_G,c_Message_Oparts(V_H),tc_fun(tc_Message_Omsg,tc_bool)) ) ).
% 18.89/19.00
% 18.89/19.00 cnf(cls_parts__subset__iff_0,axiom,
% 18.89/19.00 ( c_lessequals(V_G,c_Message_Oparts(V_H),tc_fun(tc_Message_Omsg,tc_bool))
% 18.89/19.00 | ~ c_lessequals(c_Message_Oparts(V_G),c_Message_Oparts(V_H),tc_fun(tc_Message_Omsg,tc_bool)) ) ).
% 18.89/19.00
% 18.89/19.00 cnf(cls_image__vimage__eq_0,axiom,
% 18.89/19.00 c_Set_Oimage(V_f,c_Set_Ovimage(V_f,V_A,T_b,T_a),T_b,T_a) = c_Lattices_Olower__semilattice__class_Oinf(V_A,c_Set_Oimage(V_f,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_bool)),T_b,T_a),tc_fun(T_a,tc_bool)) ).
% 18.89/19.00
% 18.89/19.00 cnf(cls_top__greatest_0,axiom,
% 18.89/19.00 ( ~ class_Orderings_Otop(T_a)
% 18.89/19.00 | c_lessequals(V_x,c_Orderings_Otop__class_Otop(T_a),T_a) ) ).
% 18.89/19.00
% 18.89/19.00 cnf(cls_inf__top__left_0,axiom,
% 18.89/19.00 ( ~ class_Lattices_Obounded__lattice(T_a)
% 18.89/19.00 | c_Lattices_Olower__semilattice__class_Oinf(c_Orderings_Otop__class_Otop(T_a),V_x,T_a) = V_x ) ).
% 18.89/19.00
% 18.89/19.00 cnf(cls_inf__top__right_0,axiom,
% 18.89/19.00 ( ~ class_Lattices_Obounded__lattice(T_a)
% 18.89/19.00 | c_Lattices_Olower__semilattice__class_Oinf(V_x,c_Orderings_Otop__class_Otop(T_a),T_a) = V_x ) ).
% 18.89/19.00
% 18.89/19.00 cnf(cls_inf__eq__top__eq1_0,axiom,
% 18.89/19.00 ( ~ class_Lattices_Obounded__lattice(T_a)
% 18.89/19.00 | c_Lattices_Olower__semilattice__class_Oinf(V_A,V_B,T_a) != c_Orderings_Otop__class_Otop(T_a)
% 18.89/19.00 | V_A = c_Orderings_Otop__class_Otop(T_a) ) ).
% 18.89/19.00
% 18.89/19.00 cnf(cls_inf__eq__top__eq2_0,axiom,
% 18.89/19.00 ( ~ class_Lattices_Obounded__lattice(T_a)
% 18.89/19.00 | c_Lattices_Olower__semilattice__class_Oinf(V_A,V_B,T_a) != c_Orderings_Otop__class_Otop(T_a)
% 18.89/19.00 | V_B = c_Orderings_Otop__class_Otop(T_a) ) ).
% 18.89/19.00
% 18.89/19.00 cnf(cls_subset__UNIV_0,axiom,
% 18.89/19.00 c_lessequals(V_A,c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)) ).
% 18.89/19.00
% 18.89/19.00 cnf(cls_Int__UNIV__right_0,axiom,
% 18.89/19.00 c_Lattices_Olower__semilattice__class_Oinf(V_A,c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)) = V_A ).
% 18.89/19.00
% 18.89/19.00 cnf(cls_Int__UNIV__left_0,axiom,
% 18.89/19.00 c_Lattices_Olower__semilattice__class_Oinf(c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_bool)),V_B,tc_fun(T_a,tc_bool)) = V_B ).
% 18.89/19.00
% 18.89/19.00 cnf(cls_vimage__UNIV_0,axiom,
% 18.89/19.00 c_Set_Ovimage(V_f,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_bool)),T_a,T_b) = c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_bool)) ).
% 18.89/19.00
% 18.89/19.00 cnf(cls_Crypt__neq__HPair_0,axiom,
% 18.89/19.00 c_Message_Omsg_OCrypt(V_K,V_X_H) != c_Message_OHPair(V_X,V_Y) ).
% 18.89/19.00
% 18.89/19.00 cnf(cls_msg_Osimps_I37_J_0,axiom,
% 18.89/19.00 c_Message_Omsg_OCrypt(V_nat_H,V_msg_H) != c_Message_Omsg_ONonce(V_nat) ).
% 18.89/19.00
% 18.89/19.00 cnf(cls_msg_Osimps_I46_J_0,axiom,
% 18.89/19.00 c_Message_Omsg_OHash(V_msg) != c_Message_Omsg_OCrypt(V_nat_H,V_msg_H) ).
% 18.89/19.00
% 18.89/19.00 cnf(cls_msg_Osimps_I36_J_0,axiom,
% 18.89/19.00 c_Message_Omsg_ONonce(V_nat) != c_Message_Omsg_OCrypt(V_nat_H,V_msg_H) ).
% 18.89/19.00
% 18.89/19.00 cnf(cls_msg_Osimps_I47_J_0,axiom,
% 18.89/19.00 c_Message_Omsg_OCrypt(V_nat_H,V_msg_H) != c_Message_Omsg_OHash(V_msg) ).
% 18.89/19.00
% 18.89/19.00 cnf(cls_msg_Osimps_I31_J_0,axiom,
% 18.89/19.00 hAPP(c_Message_Omsg_OKey,V_nat_H) != c_Message_Omsg_ONonce(V_nat) ).
% 18.89/19.00
% 18.89/19.00 cnf(cls_msg_Osimps_I39_J_0,axiom,
% 18.89/19.00 c_Message_Omsg_OHash(V_msg_H) != hAPP(c_Message_Omsg_OKey,V_nat) ).
% 18.89/19.00
% 18.89/19.00 cnf(cls_msg_Osimps_I30_J_0,axiom,
% 18.89/19.00 c_Message_Omsg_ONonce(V_nat) != hAPP(c_Message_Omsg_OKey,V_nat_H) ).
% 18.89/19.00
% 18.89/19.00 cnf(cls_Key__neq__HPair_0,axiom,
% 18.89/19.00 hAPP(c_Message_Omsg_OKey,V_K) != c_Message_OHPair(V_X,V_Y) ).
% 18.89/19.00
% 18.89/19.00 cnf(cls_msg_Osimps_I38_J_0,axiom,
% 18.89/19.00 hAPP(c_Message_Omsg_OKey,V_nat) != c_Message_Omsg_OHash(V_msg_H) ).
% 18.89/19.00
% 18.89/19.00 cnf(cls_Says__imp__spies_0,axiom,
% 18.89/19.00 ( c_in(V_X,c_Event_Oknows(c_Message_Oagent_OSpy,V_evs),tc_Message_Omsg)
% 18.89/19.00 | ~ c_in(c_Event_Oevent_OSays(V_A,V_B,V_X),c_List_Oset(V_evs,tc_Event_Oevent),tc_Event_Oevent) ) ).
% 18.89/19.00
% 18.89/19.00 cnf(cls_knows__Says_0,axiom,
% 18.89/19.00 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) ).
% 18.89/19.00
% 18.89/19.00 cnf(cls_agent_Osimps_I4_J_0,axiom,
% 18.89/19.00 c_Message_Oagent_OServer != c_Message_Oagent_OSpy ).
% 18.89/19.00
% 18.89/19.00 cnf(cls_agent_Osimps_I5_J_0,axiom,
% 18.89/19.00 c_Message_Oagent_OSpy != c_Message_Oagent_OServer ).
% 18.89/19.00
% 18.89/19.00 cnf(cls_invKey__shrK_0,axiom,
% 18.89/19.00 c_Message_OinvKey(hAPP(c_Public_OshrK,V_A)) = hAPP(c_Public_OshrK,V_A) ).
% 18.89/19.00
% 18.89/19.00 cnf(cls_Says__imp__parts__knows__Spy_0,axiom,
% 18.89/19.00 ( c_in(V_X,c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,V_evs)),tc_Message_Omsg)
% 18.89/19.00 | ~ c_in(c_Event_Oevent_OSays(V_A,V_B,V_X),c_List_Oset(V_evs,tc_Event_Oevent),tc_Event_Oevent) ) ).
% 18.89/19.00
% 18.89/19.00 cnf(cls_Server__not__bad_0,axiom,
% 18.89/19.00 ~ c_in(c_Message_Oagent_OServer,c_Event_Obad,tc_Message_Oagent) ).
% 18.89/19.00
% 18.89/19.00 cnf(cls_lemma1_0,axiom,
% 18.89/19.00 ( 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))
% 18.89/19.00 | ~ c_in(hAPP(c_Message_Omsg_OKey,c_Message_OinvKey(V_K)),c_Message_Oanalz(V_H),tc_Message_Omsg) ) ).
% 18.89/19.00
% 18.89/19.00 cnf(cls_lemma2_0,axiom,
% 18.89/19.00 ( 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))
% 18.89/19.00 | ~ c_in(hAPP(c_Message_Omsg_OKey,c_Message_OinvKey(V_K)),c_Message_Oanalz(V_H),tc_Message_Omsg) ) ).
% 18.89/19.00
% 18.89/19.00 cnf(cls_used__Says_0,axiom,
% 18.89/19.00 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)) ).
% 18.89/19.00
% 18.89/19.00 cnf(cls_Says__Server__message__form_0,axiom,
% 18.89/19.00 ( ~ 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)
% 18.89/19.00 | ~ c_in(V_evs,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))
% 18.89/19.00 | ~ 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) ) ).
% 18.89/19.00
% 18.89/19.00 cnf(cls_insert__Diff_0,axiom,
% 18.89/19.00 ( c_Set_Oinsert(V_a,c_HOL_Ominus__class_Ominus(V_A,c_Set_Oinsert(V_a,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),tc_fun(T_a,tc_bool)),T_a) = V_A
% 18.89/19.00 | ~ c_in(V_a,V_A,T_a) ) ).
% 18.89/19.00
% 18.89/19.00 cnf(cls_vimage__singleton__eq_0,axiom,
% 18.89/19.00 ( hAPP(V_f,V_a) = V_b
% 18.89/19.00 | ~ c_in(V_a,c_Set_Ovimage(V_f,c_Set_Oinsert(V_b,c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_bool)),T_b),T_a,T_b),T_a) ) ).
% 18.89/19.00
% 18.89/19.00 cnf(cls_vimage__singleton__eq_1,axiom,
% 18.89/19.00 c_in(V_a,c_Set_Ovimage(V_f,c_Set_Oinsert(hAPP(V_f,V_a),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),T_aa,T_a),T_aa) ).
% 18.89/19.00
% 18.89/19.00 cnf(cls_Diff__insert__absorb_0,axiom,
% 18.89/19.00 ( c_HOL_Ominus__class_Ominus(c_Set_Oinsert(V_x,V_A,T_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)) = V_A
% 18.89/19.00 | c_in(V_x,V_A,T_a) ) ).
% 18.89/19.00
% 18.89/19.00 cnf(cls_vimage__const_1,axiom,
% 18.89/19.00 ( c_Set_Ovimage(c_COMBK(V_c,T_b,T_a),V_A,T_a,T_b) = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))
% 18.89/19.00 | c_in(V_c,V_A,T_b) ) ).
% 18.89/19.00
% 18.89/19.00 cnf(cls_Says__S__message__form_1,axiom,
% 18.89/19.00 ( c_in(V_X,c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,V_evs)),tc_Message_Omsg)
% 18.89/19.00 | 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)))
% 18.89/19.00 | ~ c_in(V_evs,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))
% 18.89/19.00 | ~ 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) ) ).
% 18.89/19.00
% 18.89/19.00 cnf(cls_vimage__insert_0,axiom,
% 18.89/19.00 c_Set_Ovimage(V_f,c_Set_Oinsert(V_a,V_B,T_b),T_a,T_b) = c_Lattices_Oupper__semilattice__class_Osup(c_Set_Ovimage(V_f,c_Set_Oinsert(V_a,c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_bool)),T_b),T_a,T_b),c_Set_Ovimage(V_f,V_B,T_a,T_b),tc_fun(T_a,tc_bool)) ).
% 18.89/19.00
% 18.89/19.00 cnf(cls_double__diff_0,axiom,
% 18.89/19.00 ( c_HOL_Ominus__class_Ominus(V_B,c_HOL_Ominus__class_Ominus(V_C,V_A,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)) = V_A
% 18.89/19.00 | ~ c_lessequals(V_B,V_C,tc_fun(T_a,tc_bool))
% 18.89/19.00 | ~ c_lessequals(V_A,V_B,tc_fun(T_a,tc_bool)) ) ).
% 18.89/19.00
% 18.89/19.00 cnf(cls_le__eqI_0,axiom,
% 18.89/19.00 ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a)
% 18.89/19.00 | c_HOL_Ominus__class_Ominus(V_x,V_y,T_a) != c_HOL_Ominus__class_Ominus(V_x_H,V_y_H,T_a)
% 18.89/19.00 | c_lessequals(V_y_H,V_x_H,T_a)
% 18.89/19.00 | ~ c_lessequals(V_y,V_x,T_a) ) ).
% 18.89/19.00
% 18.89/19.00 cnf(cls_le__eqI_1,axiom,
% 18.89/19.00 ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a)
% 18.89/19.00 | c_HOL_Ominus__class_Ominus(V_x,V_y,T_a) != c_HOL_Ominus__class_Ominus(V_x_H,V_y_H,T_a)
% 18.89/19.00 | c_lessequals(V_y,V_x,T_a)
% 18.89/19.00 | ~ c_lessequals(V_y_H,V_x_H,T_a) ) ).
% 18.89/19.00
% 18.89/19.00 cnf(cls_keysFor__insert__HPair_0,axiom,
% 18.89/19.00 c_Message_OkeysFor(c_Set_Oinsert(c_Message_OHPair(V_X,V_Y),V_H,tc_Message_Omsg)) = c_Message_OkeysFor(V_H) ).
% 18.89/19.00
% 18.89/19.00 cnf(cls_set__empty_0,axiom,
% 18.89/19.00 ( c_List_Oset(V_xs,T_a) != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))
% 18.89/19.00 | V_xs = c_List_Olist_ONil(T_a) ) ).
% 18.89/19.00
% 18.89/19.00 cnf(cls_msg_Osimps_I32_J_0,axiom,
% 18.89/19.00 c_Message_Omsg_ONonce(V_nat) != c_Message_Omsg_OHash(V_msg_H) ).
% 18.89/19.00
% 18.89/19.00 cnf(cls_publicKey__neq__privateKey_0,axiom,
% 18.89/19.00 hAPP(c_Public_OpublicKey(V_c),V_A_H) != c_Message_OinvKey(hAPP(c_Public_OpublicKey(V_b),V_A)) ).
% 18.89/19.00
% 18.89/19.00 cnf(cls_linorder__linear_0,axiom,
% 18.89/19.00 ( ~ class_Orderings_Olinorder(T_a)
% 18.89/19.00 | c_lessequals(V_y,V_x,T_a)
% 18.89/19.00 | c_lessequals(V_x,V_y,T_a) ) ).
% 18.89/19.00
% 18.89/19.00 cnf(cls_subset__insert__iff_0,axiom,
% 18.89/19.00 ( c_lessequals(c_HOL_Ominus__class_Ominus(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)),V_B,tc_fun(T_a,tc_bool))
% 18.89/19.00 | ~ c_in(V_x,V_A,T_a)
% 18.89/19.00 | ~ c_lessequals(V_A,c_Set_Oinsert(V_x,V_B,T_a),tc_fun(T_a,tc_bool)) ) ).
% 18.89/19.00
% 18.89/19.00 cnf(cls_subset__insert__iff_3,axiom,
% 18.89/19.00 ( c_lessequals(V_A,c_Set_Oinsert(V_x,V_B,T_a),tc_fun(T_a,tc_bool))
% 18.89/19.00 | ~ c_in(V_x,V_A,T_a)
% 18.89/19.00 | ~ c_lessequals(c_HOL_Ominus__class_Ominus(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)),V_B,tc_fun(T_a,tc_bool)) ) ).
% 18.89/19.00
% 18.89/19.00 cnf(cls_diff__single__insert_0,axiom,
% 18.89/19.00 ( c_lessequals(V_A,c_Set_Oinsert(V_x,V_B,T_a),tc_fun(T_a,tc_bool))
% 18.89/19.00 | ~ c_in(V_x,V_A,T_a)
% 18.89/19.00 | ~ c_lessequals(c_HOL_Ominus__class_Ominus(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)),V_B,tc_fun(T_a,tc_bool)) ) ).
% 18.89/19.00
% 18.89/19.00 cnf(cls_ns__shared_ONS5_0,axiom,
% 18.89/19.00 ( 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))
% 18.89/19.00 | ~ 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)
% 18.89/19.00 | ~ 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)
% 18.89/19.00 | ~ c_in(V_K,c_Message_OsymKeys,tc_nat)
% 18.89/19.00 | ~ c_in(V_evs5,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent)) ) ).
% 18.89/19.00
% 18.89/19.00 cnf(cls_the__inv__into__into_0,axiom,
% 18.89/19.00 ( c_in(hAPP(c_Fun_Othe__inv__into(V_A,V_f,T_a,T_b),V_x),V_B,T_a)
% 18.89/19.00 | ~ c_lessequals(V_A,V_B,tc_fun(T_a,tc_bool))
% 18.89/19.00 | ~ c_in(V_x,c_Set_Oimage(V_f,V_A,T_a,T_b),T_b)
% 18.89/19.00 | ~ c_Fun_Oinj__on(V_f,V_A,T_a,T_b) ) ).
% 18.89/19.00
% 18.89/19.00 cnf(cls_parts__insert__HPair_0,axiom,
% 18.89/19.00 c_Message_Oparts(c_Set_Oinsert(c_Message_OHPair(V_X,V_Y),V_H,tc_Message_Omsg)) = c_Set_Oinsert(c_Message_OHPair(V_X,V_Y),c_Set_Oinsert(c_Message_Omsg_OHash(c_Message_Omsg_OMPair(V_X,V_Y)),c_Message_Oparts(c_Set_Oinsert(V_Y,V_H,tc_Message_Omsg)),tc_Message_Omsg),tc_Message_Omsg) ).
% 18.89/19.00
% 18.89/19.00 cnf(cls_vimage__subsetI_0,axiom,
% 18.89/19.00 ( c_lessequals(c_Set_Ovimage(V_f,V_B,T_a,T_b),V_A,tc_fun(T_a,tc_bool))
% 18.89/19.00 | ~ c_lessequals(V_B,c_Set_Oimage(V_f,V_A,T_a,T_b),tc_fun(T_b,tc_bool))
% 18.89/19.00 | ~ c_Fun_Oinj__on(V_f,c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_bool)),T_a,T_b) ) ).
% 18.89/19.00
% 18.89/19.00 cnf(cls_analz__insert__HPair_0,axiom,
% 18.89/19.00 c_Message_Oanalz(c_Set_Oinsert(c_Message_OHPair(V_X,V_Y),V_H,tc_Message_Omsg)) = c_Set_Oinsert(c_Message_OHPair(V_X,V_Y),c_Set_Oinsert(c_Message_Omsg_OHash(c_Message_Omsg_OMPair(V_X,V_Y)),c_Message_Oanalz(c_Set_Oinsert(V_Y,V_H,tc_Message_Omsg)),tc_Message_Omsg),tc_Message_Omsg) ).
% 18.89/19.00
% 18.89/19.00 cnf(cls_Crypt__imp__invKey__keysFor_0,axiom,
% 18.89/19.00 ( c_in(c_Message_OinvKey(V_K),c_Message_OkeysFor(V_H),tc_nat)
% 18.89/19.00 | ~ c_in(c_Message_Omsg_OCrypt(V_K,V_X),V_H,tc_Message_Omsg) ) ).
% 18.89/19.00
% 18.89/19.00 cnf(cls_Crypt__imp__keysFor_0,axiom,
% 18.89/19.00 ( c_in(V_K,c_Message_OkeysFor(V_H),tc_nat)
% 18.89/19.00 | ~ c_in(V_K,c_Message_OsymKeys,tc_nat)
% 18.89/19.00 | ~ c_in(c_Message_Omsg_OCrypt(V_K,V_X),V_H,tc_Message_Omsg) ) ).
% 18.89/19.00
% 18.89/19.00 cnf(cls_ns__shared_ONS2_0,axiom,
% 18.89/19.00 ( 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))
% 18.89/19.00 | ~ 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)
% 18.89/19.00 | ~ c_in(V_KAB,c_Message_OsymKeys,tc_nat)
% 18.89/19.00 | c_in(hAPP(c_Message_Omsg_OKey,V_KAB),c_Event_Oused(V_evs2),tc_Message_Omsg)
% 18.89/19.00 | ~ c_in(V_evs2,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent)) ) ).
% 18.89/19.00
% 18.89/19.00 cnf(cls_knows__Spy__Says_0,axiom,
% 18.89/19.00 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) ).
% 18.89/19.00
% 18.89/19.00 cnf(cls_ns__shared_ONS1_0,axiom,
% 18.89/19.00 ( 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))
% 18.89/19.00 | c_in(c_Message_Omsg_ONonce(V_NA),c_Event_Oused(V_evs1),tc_Message_Omsg)
% 18.89/19.00 | ~ c_in(V_evs1,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent)) ) ).
% 18.89/19.00
% 18.89/19.00 cnf(cls_ns__shared_ONS4_0,axiom,
% 18.89/19.00 ( 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))
% 18.89/19.00 | ~ 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)
% 18.89/19.00 | ~ c_in(V_K,c_Message_OsymKeys,tc_nat)
% 18.89/19.00 | c_in(c_Message_Omsg_ONonce(V_NB),c_Event_Oused(V_evs4),tc_Message_Omsg)
% 18.89/19.00 | ~ c_in(V_evs4,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent)) ) ).
% 18.89/19.00
% 18.89/19.00 cnf(cls_Oops__parts__spies_0,axiom,
% 18.89/19.00 ( c_in(V_K,c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,V_evs)),tc_Message_Omsg)
% 18.89/19.00 | ~ 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) ) ).
% 18.89/19.00
% 18.89/19.00 cnf(cls_Says__Server__message__form_1,axiom,
% 18.89/19.00 ( 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)))
% 18.89/19.00 | ~ c_in(V_evs,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))
% 18.89/19.00 | ~ 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) ) ).
% 18.89/19.00
% 18.89/19.00 cnf(cls_Says__Server__message__form_2,axiom,
% 18.89/19.00 ( V_K_H = hAPP(c_Public_OshrK,V_A)
% 18.89/19.00 | ~ c_in(V_evs,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))
% 18.89/19.00 | ~ 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) ) ).
% 18.89/19.00
% 18.89/19.00 cnf(cls_disjoint__iff__not__equal_0,axiom,
% 18.89/19.00 ( ~ c_in(V_x,V_B,T_a)
% 18.89/19.00 | ~ c_in(V_x,V_A,T_a)
% 18.89/19.00 | c_Lattices_Olower__semilattice__class_Oinf(V_A,V_B,tc_fun(T_a,tc_bool)) != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)) ) ).
% 18.89/19.00
% 18.89/19.00 cnf(cls_insert__Diff__if_1,axiom,
% 18.89/19.00 ( c_HOL_Ominus__class_Ominus(c_Set_Oinsert(V_x,V_A,T_a),V_B,tc_fun(T_a,tc_bool)) = c_Set_Oinsert(V_x,c_HOL_Ominus__class_Ominus(V_A,V_B,tc_fun(T_a,tc_bool)),T_a)
% 18.89/19.00 | c_in(V_x,V_B,T_a) ) ).
% 18.89/19.00
% 18.89/19.00 cnf(cls_Int__insert__left_1,axiom,
% 18.89/19.00 ( c_Lattices_Olower__semilattice__class_Oinf(c_Set_Oinsert(V_a,V_B,T_a),V_C,tc_fun(T_a,tc_bool)) = c_Lattices_Olower__semilattice__class_Oinf(V_B,V_C,tc_fun(T_a,tc_bool))
% 18.89/19.00 | c_in(V_a,V_C,T_a) ) ).
% 18.89/19.00
% 18.89/19.00 cnf(cls_Int__insert__right_1,axiom,
% 18.89/19.00 ( c_Lattices_Olower__semilattice__class_Oinf(V_A,c_Set_Oinsert(V_a,V_B,T_a),tc_fun(T_a,tc_bool)) = c_Lattices_Olower__semilattice__class_Oinf(V_A,V_B,tc_fun(T_a,tc_bool))
% 18.89/19.00 | c_in(V_a,V_A,T_a) ) ).
% 18.89/19.00
% 18.89/19.00 cnf(cls_subset__insert_0,axiom,
% 18.89/19.00 ( c_lessequals(V_A,V_B,tc_fun(T_a,tc_bool))
% 18.89/19.00 | ~ c_lessequals(V_A,c_Set_Oinsert(V_x,V_B,T_a),tc_fun(T_a,tc_bool))
% 18.89/19.00 | c_in(V_x,V_A,T_a) ) ).
% 18.89/19.00
% 18.89/19.00 cnf(cls_subset__insert_1,axiom,
% 18.89/19.00 ( c_lessequals(V_A,c_Set_Oinsert(V_x,V_B,T_a),tc_fun(T_a,tc_bool))
% 18.89/19.00 | ~ c_lessequals(V_A,V_B,tc_fun(T_a,tc_bool))
% 18.89/19.00 | c_in(V_x,V_A,T_a) ) ).
% 18.89/19.00
% 18.89/19.00 cnf(cls_subset__insert__iff_1,axiom,
% 18.89/19.00 ( c_lessequals(V_A,V_B,tc_fun(T_a,tc_bool))
% 18.89/19.00 | c_in(V_x,V_A,T_a)
% 18.89/19.00 | ~ c_lessequals(V_A,c_Set_Oinsert(V_x,V_B,T_a),tc_fun(T_a,tc_bool)) ) ).
% 18.89/19.00
% 18.89/19.00 cnf(cls_subset__insert__iff_2,axiom,
% 18.89/19.00 ( c_lessequals(V_A,c_Set_Oinsert(V_x,V_B,T_a),tc_fun(T_a,tc_bool))
% 18.89/19.00 | ~ c_lessequals(V_A,V_B,tc_fun(T_a,tc_bool))
% 18.89/19.00 | c_in(V_x,V_A,T_a) ) ).
% 18.89/19.00
% 18.89/19.00 cnf(cls_insert__subset_0,axiom,
% 18.89/19.00 ( c_in(V_x,V_B,T_a)
% 18.89/19.00 | ~ c_lessequals(c_Set_Oinsert(V_x,V_A,T_a),V_B,tc_fun(T_a,tc_bool)) ) ).
% 18.89/19.00
% 18.89/19.00 cnf(cls_insert__Diff1_0,axiom,
% 18.89/19.00 ( c_HOL_Ominus__class_Ominus(c_Set_Oinsert(V_x,V_A,T_a),V_B,tc_fun(T_a,tc_bool)) = c_HOL_Ominus__class_Ominus(V_A,V_B,tc_fun(T_a,tc_bool))
% 18.89/19.00 | ~ c_in(V_x,V_B,T_a) ) ).
% 18.89/19.00
% 18.89/19.00 cnf(cls_Int__insert__left_0,axiom,
% 18.89/19.00 ( c_Lattices_Olower__semilattice__class_Oinf(c_Set_Oinsert(V_a,V_B,T_a),V_C,tc_fun(T_a,tc_bool)) = c_Set_Oinsert(V_a,c_Lattices_Olower__semilattice__class_Oinf(V_B,V_C,tc_fun(T_a,tc_bool)),T_a)
% 18.89/19.00 | ~ c_in(V_a,V_C,T_a) ) ).
% 18.89/19.00
% 18.89/19.00 cnf(cls_Int__insert__right_0,axiom,
% 18.89/19.00 ( c_Lattices_Olower__semilattice__class_Oinf(V_A,c_Set_Oinsert(V_a,V_B,T_a),tc_fun(T_a,tc_bool)) = c_Set_Oinsert(V_a,c_Lattices_Olower__semilattice__class_Oinf(V_A,V_B,tc_fun(T_a,tc_bool)),T_a)
% 18.89/19.00 | ~ c_in(V_a,V_A,T_a) ) ).
% 18.89/19.00
% 18.89/19.00 cnf(cls_insert__subset_2,axiom,
% 18.89/19.00 ( c_lessequals(c_Set_Oinsert(V_x,V_A,T_a),V_B,tc_fun(T_a,tc_bool))
% 18.89/19.00 | ~ c_lessequals(V_A,V_B,tc_fun(T_a,tc_bool))
% 18.89/19.00 | ~ c_in(V_x,V_B,T_a) ) ).
% 18.89/19.00
% 18.89/19.00 cnf(cls_inv__into__into_0,axiom,
% 18.89/19.00 ( c_in(hAPP(c_Hilbert__Choice_Oinv__into(V_A,V_f,T_b,T_a),V_x),V_A,T_b)
% 18.89/19.00 | ~ c_in(V_x,c_Set_Oimage(V_f,V_A,T_b,T_a),T_a) ) ).
% 18.89/19.00
% 18.89/19.00 cnf(cls_inv__into__injective_0,axiom,
% 18.89/19.00 ( hAPP(c_Hilbert__Choice_Oinv__into(V_A,V_f,T_a,T_b),V_x) != hAPP(c_Hilbert__Choice_Oinv__into(V_A,V_f,T_a,T_b),V_y)
% 18.89/19.00 | V_x = V_y
% 18.89/19.00 | ~ c_in(V_y,c_Set_Oimage(V_f,V_A,T_a,T_b),T_b)
% 18.89/19.00 | ~ c_in(V_x,c_Set_Oimage(V_f,V_A,T_a,T_b),T_b) ) ).
% 18.89/19.00
% 18.89/19.00 cnf(cls_image__subset__iff_0,axiom,
% 18.89/19.00 ( c_in(hAPP(V_f,V_x),V_B,T_a)
% 18.89/19.00 | ~ c_in(V_x,V_A,T_b)
% 18.89/19.00 | ~ c_lessequals(c_Set_Oimage(V_f,V_A,T_b,T_a),V_B,tc_fun(T_a,tc_bool)) ) ).
% 18.89/19.00
% 18.89/19.00 cnf(cls_f__inv__into__f_0,axiom,
% 18.89/19.00 ( hAPP(V_f,hAPP(c_Hilbert__Choice_Oinv__into(V_A,V_f,T_b,T_a),V_y)) = V_y
% 18.89/19.00 | ~ c_in(V_y,c_Set_Oimage(V_f,V_A,T_b,T_a),T_a) ) ).
% 18.89/19.00
% 18.89/19.00 cnf(cls_fun__upd__image_1,axiom,
% 18.89/19.00 ( c_Set_Oimage(c_Fun_Ofun__upd(V_f,V_x,V_y,T_b,T_a),V_A,T_b,T_a) = c_Set_Oimage(V_f,V_A,T_b,T_a)
% 18.89/19.00 | c_in(V_x,V_A,T_b) ) ).
% 18.89/19.00
% 18.89/19.00 cnf(cls_fun__upd__image_0,axiom,
% 18.89/19.00 ( c_Set_Oimage(c_Fun_Ofun__upd(V_f,V_x,V_y,T_b,T_a),V_A,T_b,T_a) = c_Set_Oinsert(V_y,c_Set_Oimage(V_f,c_HOL_Ominus__class_Ominus(V_A,c_Set_Oinsert(V_x,c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_bool)),T_b),tc_fun(T_b,tc_bool)),T_b,T_a),T_a)
% 18.89/19.00 | ~ c_in(V_x,V_A,T_b) ) ).
% 18.89/19.00
% 18.89/19.00 cnf(cls_insert__Diff__single_0,axiom,
% 18.89/19.00 c_Set_Oinsert(V_a,c_HOL_Ominus__class_Ominus(V_A,c_Set_Oinsert(V_a,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),tc_fun(T_a,tc_bool)),T_a) = c_Set_Oinsert(V_a,V_A,T_a) ).
% 18.89/19.00
% 18.89/19.00 cnf(cls_Diff__insert_0,axiom,
% 18.89/19.00 c_HOL_Ominus__class_Ominus(V_A,c_Set_Oinsert(V_a,V_B,T_a),tc_fun(T_a,tc_bool)) = c_HOL_Ominus__class_Ominus(c_HOL_Ominus__class_Ominus(V_A,V_B,tc_fun(T_a,tc_bool)),c_Set_Oinsert(V_a,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),tc_fun(T_a,tc_bool)) ).
% 18.89/19.00
% 18.89/19.00 cnf(cls_Diff__insert2_0,axiom,
% 18.89/19.00 c_HOL_Ominus__class_Ominus(V_A,c_Set_Oinsert(V_a,V_B,T_a),tc_fun(T_a,tc_bool)) = c_HOL_Ominus__class_Ominus(c_HOL_Ominus__class_Ominus(V_A,c_Set_Oinsert(V_a,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),tc_fun(T_a,tc_bool)),V_B,tc_fun(T_a,tc_bool)) ).
% 18.89/19.00
% 18.89/19.00 cnf(cls_subset__singletonD_0,axiom,
% 18.89/19.00 ( V_A = c_Set_Oinsert(V_x,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a)
% 18.89/19.00 | V_A = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))
% 18.89/19.00 | ~ 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)) ) ).
% 18.89/19.00
% 18.89/19.00 cnf(cls_inv__into__f__f_0,axiom,
% 18.89/19.00 ( hAPP(c_Hilbert__Choice_Oinv__into(V_A,V_f,T_a,T_b),hAPP(V_f,V_x)) = V_x
% 18.89/19.00 | ~ c_in(V_x,V_A,T_a)
% 18.89/19.00 | ~ c_Fun_Oinj__on(V_f,V_A,T_a,T_b) ) ).
% 18.89/19.00
% 18.89/19.00 cnf(cls_inv__into__f__eq_0,axiom,
% 18.89/19.00 ( ~ c_in(V_x,V_A,T_aa)
% 18.89/19.00 | ~ c_Fun_Oinj__on(V_f,V_A,T_aa,T_a)
% 18.89/19.00 | hAPP(c_Hilbert__Choice_Oinv__into(V_A,V_f,T_aa,T_a),hAPP(V_f,V_x)) = V_x ) ).
% 18.89/19.00
% 18.89/19.00 cnf(cls_the__inv__into__f__f_0,axiom,
% 18.89/19.00 ( hAPP(c_Fun_Othe__inv__into(V_A,V_f,T_a,T_b),hAPP(V_f,V_x)) = V_x
% 18.89/19.00 | ~ c_in(V_x,V_A,T_a)
% 18.89/19.00 | ~ c_Fun_Oinj__on(V_f,V_A,T_a,T_b) ) ).
% 18.89/19.00
% 18.89/19.00 cnf(cls_the__inv__into__f__eq_0,axiom,
% 18.89/19.00 ( ~ c_Fun_Oinj__on(V_f,V_A,T_aa,T_a)
% 18.89/19.00 | hAPP(c_Fun_Othe__inv__into(V_A,V_f,T_aa,T_a),hAPP(V_f,V_x)) = V_x
% 18.89/19.00 | ~ c_in(V_x,V_A,T_aa) ) ).
% 18.89/19.00
% 18.89/19.00 cnf(cls_Diff__UNIV_0,axiom,
% 18.89/19.00 c_HOL_Ominus__class_Ominus(V_A,c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)) = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)) ).
% 18.89/19.00
% 18.89/19.00 cnf(cls_parts__trans_0,axiom,
% 18.89/19.00 ( c_in(V_X,c_Message_Oparts(V_H),tc_Message_Omsg)
% 18.89/19.00 | ~ c_lessequals(V_G,c_Message_Oparts(V_H),tc_fun(tc_Message_Omsg,tc_bool))
% 18.89/19.00 | ~ c_in(V_X,c_Message_Oparts(V_G),tc_Message_Omsg) ) ).
% 18.89/19.00
% 18.89/19.00 cnf(cls_inj__on__Un_2,axiom,
% 18.89/19.00 ( c_Lattices_Olower__semilattice__class_Oinf(c_Set_Oimage(V_f,c_HOL_Ominus__class_Ominus(V_A,V_B,tc_fun(T_a,tc_bool)),T_a,T_b),c_Set_Oimage(V_f,c_HOL_Ominus__class_Ominus(V_B,V_A,tc_fun(T_a,tc_bool)),T_a,T_b),tc_fun(T_b,tc_bool)) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_bool))
% 18.89/19.00 | ~ c_Fun_Oinj__on(V_f,c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_a,tc_bool)),T_a,T_b) ) ).
% 18.89/19.00
% 18.89/19.00 cnf(cls_inj__on__Un_3,axiom,
% 18.89/19.00 ( c_Lattices_Olower__semilattice__class_Oinf(c_Set_Oimage(V_f,c_HOL_Ominus__class_Ominus(V_A,V_B,tc_fun(T_a,tc_bool)),T_a,T_b),c_Set_Oimage(V_f,c_HOL_Ominus__class_Ominus(V_B,V_A,tc_fun(T_a,tc_bool)),T_a,T_b),tc_fun(T_b,tc_bool)) != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_bool))
% 18.89/19.00 | ~ c_Fun_Oinj__on(V_f,V_B,T_a,T_b)
% 18.89/19.00 | ~ c_Fun_Oinj__on(V_f,V_A,T_a,T_b)
% 18.89/19.00 | c_Fun_Oinj__on(V_f,c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_a,tc_bool)),T_a,T_b) ) ).
% 18.89/19.00
% 18.89/19.00 cnf(cls_analz__trans_0,axiom,
% 18.89/19.00 ( c_in(V_X,c_Message_Oanalz(V_H),tc_Message_Omsg)
% 18.89/19.00 | ~ c_lessequals(V_G,c_Message_Oanalz(V_H),tc_fun(tc_Message_Omsg,tc_bool))
% 18.89/19.00 | ~ c_in(V_X,c_Message_Oanalz(V_G),tc_Message_Omsg) ) ).
% 18.89/19.00
% 18.89/19.00 cnf(cls_inj__on__the__inv__into_0,axiom,
% 18.89/19.00 ( c_Fun_Oinj__on(c_Fun_Othe__inv__into(V_A,V_f,T_a,T_b),c_Set_Oimage(V_f,V_A,T_a,T_b),T_b,T_a)
% 18.89/19.00 | ~ c_Fun_Oinj__on(V_f,V_A,T_a,T_b) ) ).
% 18.89/19.00
% 18.89/19.00 cnf(cls_the__inv__into__onto_0,axiom,
% 18.89/19.00 ( c_Set_Oimage(c_Fun_Othe__inv__into(V_A,V_f,T_a,T_b),c_Set_Oimage(V_f,V_A,T_a,T_b),T_b,T_a) = V_A
% 18.89/19.00 | ~ c_Fun_Oinj__on(V_f,V_A,T_a,T_b) ) ).
% 18.89/19.00
% 18.89/19.00 cnf(cls_HPair__synth__analz_2,axiom,
% 18.89/19.00 ( c_in(c_Message_OHPair(V_X,V_Y),c_Message_Osynth(c_Message_Oanalz(V_H)),tc_Message_Omsg)
% 18.89/19.00 | ~ c_in(V_Y,c_Message_Osynth(c_Message_Oanalz(V_H)),tc_Message_Omsg)
% 18.89/19.00 | ~ c_in(c_Message_Omsg_OHash(c_Message_Omsg_OMPair(V_X,V_Y)),c_Message_Oanalz(V_H),tc_Message_Omsg)
% 18.89/19.00 | c_in(V_X,c_Message_Osynth(c_Message_Oanalz(V_H)),tc_Message_Omsg) ) ).
% 18.89/19.00
% 18.89/19.00 cnf(cls_HPair__synth__analz_0,axiom,
% 18.89/19.00 ( c_in(c_Message_Omsg_OHash(c_Message_Omsg_OMPair(V_X,V_Y)),c_Message_Oanalz(V_H),tc_Message_Omsg)
% 18.89/19.00 | ~ c_in(c_Message_OHPair(V_X,V_Y),c_Message_Osynth(c_Message_Oanalz(V_H)),tc_Message_Omsg)
% 18.89/19.00 | c_in(V_X,c_Message_Osynth(c_Message_Oanalz(V_H)),tc_Message_Omsg) ) ).
% 18.89/19.00
% 18.89/19.00 cnf(cls_Nonce__synth_0,axiom,
% 18.89/19.00 ( c_in(c_Message_Omsg_ONonce(V_n),V_H,tc_Message_Omsg)
% 18.89/19.00 | ~ c_in(c_Message_Omsg_ONonce(V_n),c_Message_Osynth(V_H),tc_Message_Omsg) ) ).
% 18.89/19.00
% 18.89/19.00 cnf(cls_Nonce__synth__eq_0,axiom,
% 18.89/19.00 ( c_in(c_Message_Omsg_ONonce(V_N),V_H,tc_Message_Omsg)
% 18.89/19.00 | ~ c_in(c_Message_Omsg_ONonce(V_N),c_Message_Osynth(V_H),tc_Message_Omsg) ) ).
% 18.89/19.00
% 18.89/19.00 cnf(cls_Nonce__synth__eq_1,axiom,
% 18.89/19.00 ( c_in(c_Message_Omsg_ONonce(V_N),c_Message_Osynth(V_H),tc_Message_Omsg)
% 18.89/19.00 | ~ c_in(c_Message_Omsg_ONonce(V_N),V_H,tc_Message_Omsg) ) ).
% 18.89/19.00
% 18.89/19.00 cnf(cls_Hash__synth_0,axiom,
% 18.89/19.00 ( c_in(V_X,c_Message_Osynth(V_H),tc_Message_Omsg)
% 18.89/19.00 | c_in(c_Message_Omsg_OHash(V_X),V_H,tc_Message_Omsg)
% 18.89/19.00 | ~ c_in(c_Message_Omsg_OHash(V_X),c_Message_Osynth(V_H),tc_Message_Omsg) ) ).
% 18.89/19.00
% 18.89/19.00 cnf(cls_synth__trans_0,axiom,
% 18.89/19.00 ( c_in(V_X,c_Message_Osynth(V_H),tc_Message_Omsg)
% 18.89/19.00 | ~ c_lessequals(V_G,c_Message_Osynth(V_H),tc_fun(tc_Message_Omsg,tc_bool))
% 18.89/19.00 | ~ c_in(V_X,c_Message_Osynth(V_G),tc_Message_Omsg) ) ).
% 18.89/19.00
% 18.89/19.00 cnf(cls_synth_OHash_0,axiom,
% 18.89/19.00 ( c_in(c_Message_Omsg_OHash(V_X),c_Message_Osynth(V_H),tc_Message_Omsg)
% 18.89/19.00 | ~ c_in(V_X,c_Message_Osynth(V_H),tc_Message_Omsg) ) ).
% 18.89/19.00
% 18.89/19.00 cnf(cls_keysFor__insert__MPair_0,axiom,
% 18.89/19.00 c_Message_OkeysFor(c_Set_Oinsert(c_Message_Omsg_OMPair(V_X,V_Y),V_H,tc_Message_Omsg)) = c_Message_OkeysFor(V_H) ).
% 18.89/19.00
% 18.89/19.00 cnf(cls_analz__subset__parts_0,axiom,
% 18.89/19.00 c_lessequals(c_Message_Oanalz(V_H),c_Message_Oparts(V_H),tc_fun(tc_Message_Omsg,tc_bool)) ).
% 18.89/19.00
% 18.89/19.00 cnf(cls_the__inv__f__f_0,axiom,
% 18.89/19.00 ( hAPP(c_Fun_Othe__inv__into(c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_bool)),V_f,T_a,T_b),hAPP(V_f,V_x)) = V_x
% 18.89/19.00 | ~ c_Fun_Oinj__on(V_f,c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_bool)),T_a,T_b) ) ).
% 18.89/19.00
% 18.89/19.00 cnf(cls_inv__f__f_0,axiom,
% 18.89/19.00 ( hAPP(c_Hilbert__Choice_Oinv__into(c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_bool)),V_f,T_a,T_b),hAPP(V_f,V_x)) = V_x
% 18.89/19.00 | ~ c_Fun_Oinj__on(V_f,c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_bool)),T_a,T_b) ) ).
% 18.89/19.00
% 18.89/19.00 cnf(cls_inv__f__eq_0,axiom,
% 18.89/19.00 ( ~ c_Fun_Oinj__on(V_f,c_Orderings_Otop__class_Otop(tc_fun(T_aa,tc_bool)),T_aa,T_a)
% 18.89/19.00 | hAPP(c_Hilbert__Choice_Oinv__into(c_Orderings_Otop__class_Otop(tc_fun(T_aa,tc_bool)),V_f,T_aa,T_a),hAPP(V_f,V_x)) = V_x ) ).
% 18.89/19.00
% 18.89/19.00 cnf(cls_parts__insert__Hash_0,axiom,
% 18.89/19.00 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) ).
% 18.89/19.00
% 18.89/19.00 cnf(cls_parts__insert__subset_0,axiom,
% 18.89/19.00 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)) ).
% 18.89/19.00
% 18.89/19.00 cnf(cls_parts__insert__Nonce_0,axiom,
% 18.89/19.00 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) ).
% 18.89/19.00
% 18.89/19.00 cnf(cls_NS3__msg__in__parts__spies_0,axiom,
% 18.89/19.00 ( c_in(V_X,c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,V_evs)),tc_Message_Omsg)
% 18.89/19.00 | ~ 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) ) ).
% 18.89/19.00
% 18.89/19.00 cnf(cls_pushes_I9_J_0,axiom,
% 18.89/19.00 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) ).
% 18.89/19.00
% 18.89/19.00 cnf(cls_pushes_I11_J_0,axiom,
% 18.89/19.00 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) ).
% 18.89/19.00
% 18.89/19.00 cnf(cls_analz__insert__Hash_0,axiom,
% 18.89/19.00 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) ).
% 18.89/19.00
% 18.89/19.00 cnf(cls_analz__insert__Nonce_0,axiom,
% 18.89/19.00 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) ).
% 18.89/19.00
% 18.89/19.00 cnf(cls_analz__insert_0,axiom,
% 18.89/19.00 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)) ).
% 18.89/19.00
% 18.89/19.00 cnf(cls_pushes_I2_J_0,axiom,
% 18.89/19.00 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) ).
% 18.89/19.00
% 18.89/19.00 cnf(cls_keysFor__insert__Key_0,axiom,
% 18.89/19.00 c_Message_OkeysFor(c_Set_Oinsert(hAPP(c_Message_Omsg_OKey,V_K),V_H,tc_Message_Omsg)) = c_Message_OkeysFor(V_H) ).
% 18.89/19.00
% 18.89/19.00 cnf(cls_pushes_I4_J_0,axiom,
% 18.89/19.00 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) ).
% 18.89/19.00
% 18.89/19.00 cnf(cls_synth__analz__mono_0,axiom,
% 18.89/19.00 ( 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))
% 18.89/19.00 | ~ c_lessequals(V_G,V_H,tc_fun(tc_Message_Omsg,tc_bool)) ) ).
% 18.89/19.00
% 18.89/19.00 cnf(cls_synth__insert_0,axiom,
% 18.89/19.00 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)) ).
% 18.89/19.00
% 18.89/19.00 cnf(cls_analz__mono__contra_I1_J_0,axiom,
% 18.89/19.00 ( ~ c_in(V_c,c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,V_evs)),tc_Message_Omsg)
% 18.89/19.00 | 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) ) ).
% 18.89/19.00
% 18.89/19.00 cnf(cls_keysFor__insert__Agent_0,axiom,
% 18.89/19.00 c_Message_OkeysFor(c_Set_Oinsert(c_Message_Omsg_OAgent(V_A),V_H,tc_Message_Omsg)) = c_Message_OkeysFor(V_H) ).
% 18.89/19.00
% 18.89/19.00 cnf(cls_parts__Un__subset1_0,axiom,
% 18.89/19.00 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)) ).
% 18.89/19.00
% 18.89/19.00 cnf(cls_parts__Un__subset2_0,axiom,
% 18.89/19.00 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)) ).
% 18.89/19.00
% 18.89/19.00 cnf(cls_analz__Un_0,axiom,
% 18.89/19.00 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)) ).
% 18.89/19.00
% 18.89/19.00 cnf(cls_analz__subset__cong_0,axiom,
% 18.89/19.00 ( 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))
% 18.89/19.00 | ~ c_lessequals(c_Message_Oanalz(V_H),c_Message_Oanalz(V_H_H),tc_fun(tc_Message_Omsg,tc_bool))
% 18.89/19.00 | ~ c_lessequals(c_Message_Oanalz(V_G),c_Message_Oanalz(V_G_H),tc_fun(tc_Message_Omsg,tc_bool)) ) ).
% 18.89/19.00
% 18.89/19.00 cnf(cls_synth__Un_0,axiom,
% 18.89/19.00 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)) ).
% 18.89/19.00
% 18.89/19.00 cnf(cls_sym__shrK_0,axiom,
% 18.89/19.00 c_in(hAPP(c_Public_OshrK,V_X),c_Message_OsymKeys,tc_nat) ).
% 18.89/19.00
% 18.89/19.00 cnf(cls_not__symKeys__pubK_0,axiom,
% 18.89/19.00 ~ c_in(hAPP(c_Public_OpublicKey(V_b),V_A),c_Message_OsymKeys,tc_nat) ).
% 18.89/19.00
% 18.89/19.00 cnf(cls_priK__neq__shrK_0,axiom,
% 18.89/19.00 hAPP(c_Public_OshrK,V_A) != c_Message_OinvKey(hAPP(c_Public_OpublicKey(V_b),V_C)) ).
% 18.89/19.00
% 18.89/19.00 cnf(cls_shrK__neq__priK_0,axiom,
% 18.89/19.00 c_Message_OinvKey(hAPP(c_Public_OpublicKey(V_b),V_C)) != hAPP(c_Public_OshrK,V_A) ).
% 18.89/19.00
% 18.89/19.00 cnf(cls_initState__subset__knows_0,axiom,
% 18.89/19.00 c_lessequals(c_Event_OinitState(V_A),c_Event_Oknows(V_A,V_evs),tc_fun(tc_Message_Omsg,tc_bool)) ).
% 18.89/19.00
% 18.89/19.00 cnf(cls_knows__Nil_0,axiom,
% 18.89/19.00 c_Event_Oknows(V_A,c_List_Olist_ONil(tc_Event_Oevent)) = c_Event_OinitState(V_A) ).
% 18.89/19.00
% 18.89/19.00 cnf(cls_ns__shared_ONil_0,axiom,
% 18.89/19.00 c_in(c_List_Olist_ONil(tc_Event_Oevent),c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent)) ).
% 18.89/19.00
% 18.89/19.00 cnf(cls_inj__on__image__iff_3,axiom,
% 18.89/19.00 ( c_Fun_Oinj__on(V_g,c_Set_Oimage(V_f,V_A,T_a,T_a),T_a,T_b)
% 18.89/19.00 | ~ c_Fun_Oinj__on(V_g,V_A,T_a,T_b)
% 18.89/19.00 | ~ c_Fun_Oinj__on(V_f,V_A,T_a,T_a)
% 18.89/19.00 | c_in(c_ATP__Linkup_Osko__Fun__Xinj__on__image__iff__1__2(V_A,V_f,V_g,T_a,T_b),V_A,T_a) ) ).
% 18.89/19.00
% 18.89/19.00 cnf(cls_inj__on__image__iff_2,axiom,
% 18.89/19.00 ( c_Fun_Oinj__on(V_g,V_A,T_a,T_b)
% 18.89/19.00 | ~ c_Fun_Oinj__on(V_g,c_Set_Oimage(V_f,V_A,T_a,T_a),T_a,T_b)
% 18.89/19.00 | ~ c_Fun_Oinj__on(V_f,V_A,T_a,T_a)
% 18.89/19.00 | c_in(c_ATP__Linkup_Osko__Fun__Xinj__on__image__iff__1__2(V_A,V_f,V_g,T_a,T_b),V_A,T_a) ) ).
% 18.89/19.00
% 18.89/19.00 cnf(cls_inj__on__fun__updI_0,axiom,
% 18.89/19.00 ( c_Fun_Oinj__on(c_Fun_Ofun__upd(V_f,V_x,V_y,T_a,T_b),V_A,T_a,T_b)
% 18.89/19.00 | c_in(V_y,c_Set_Oimage(V_f,V_A,T_a,T_b),T_b)
% 18.89/19.00 | ~ c_Fun_Oinj__on(V_f,V_A,T_a,T_b) ) ).
% 18.89/19.00
% 18.89/19.00 cnf(cls_f__the__inv__into__f_0,axiom,
% 18.89/19.00 ( hAPP(V_f,hAPP(c_Fun_Othe__inv__into(V_A,V_f,T_a,T_b),V_y)) = V_y
% 18.89/19.00 | ~ c_in(V_y,c_Set_Oimage(V_f,V_A,T_a,T_b),T_b)
% 18.89/19.00 | ~ c_Fun_Oinj__on(V_f,V_A,T_a,T_b) ) ).
% 18.89/19.00
% 18.89/19.00 cnf(cls_vimage__const_0,axiom,
% 18.89/19.00 ( c_Set_Ovimage(c_COMBK(V_c,T_b,T_a),V_A,T_a,T_b) = c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_bool))
% 18.89/19.00 | ~ c_in(V_c,V_A,T_b) ) ).
% 18.89/19.00
% 18.89/19.00 cnf(cls_image__Int_0,axiom,
% 18.89/19.00 ( c_Set_Oimage(V_f,c_Lattices_Olower__semilattice__class_Oinf(V_A,V_B,tc_fun(T_a,tc_bool)),T_a,T_b) = c_Lattices_Olower__semilattice__class_Oinf(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))
% 18.89/19.00 | ~ c_Fun_Oinj__on(V_f,c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_bool)),T_a,T_b) ) ).
% 18.89/19.00
% 18.89/19.00 cnf(cls_inj__vimage__image__eq_0,axiom,
% 18.89/19.00 ( c_Set_Ovimage(V_f,c_Set_Oimage(V_f,V_A,T_a,T_b),T_a,T_b) = V_A
% 18.89/19.00 | ~ c_Fun_Oinj__on(V_f,c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_bool)),T_a,T_b) ) ).
% 18.89/19.00
% 18.89/19.00 cnf(cls_inj__image__subset__iff_1,axiom,
% 18.89/19.00 ( 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))
% 18.89/19.00 | ~ c_lessequals(V_A,V_B,tc_fun(T_a,tc_bool))
% 18.89/19.00 | ~ c_Fun_Oinj__on(V_f,c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_bool)),T_a,T_b) ) ).
% 18.89/19.00
% 18.89/19.00 cnf(cls_inj__image__subset__iff_0,axiom,
% 18.89/19.00 ( c_lessequals(V_A,V_B,tc_fun(T_a,tc_bool))
% 18.89/19.00 | ~ 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))
% 18.89/19.00 | ~ c_Fun_Oinj__on(V_f,c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_bool)),T_a,T_b) ) ).
% 18.89/19.00
% 18.89/19.00 cnf(cls_image__set__diff_0,axiom,
% 18.89/19.00 ( c_Set_Oimage(V_f,c_HOL_Ominus__class_Ominus(V_A,V_B,tc_fun(T_a,tc_bool)),T_a,T_b) = c_HOL_Ominus__class_Ominus(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))
% 18.89/19.00 | ~ c_Fun_Oinj__on(V_f,c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_bool)),T_a,T_b) ) ).
% 18.89/19.00
% 18.89/19.00 cnf(cls_inv__image__comp_0,axiom,
% 18.89/19.00 ( c_Set_Oimage(c_Hilbert__Choice_Oinv__into(c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_bool)),V_f,T_a,T_b),c_Set_Oimage(V_f,V_X,T_a,T_b),T_b,T_a) = V_X
% 18.89/19.00 | ~ c_Fun_Oinj__on(V_f,c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_bool)),T_a,T_b) ) ).
% 18.89/19.00
% 18.89/19.00 cnf(cls_image__inv__f__f_0,axiom,
% 18.89/19.00 ( c_Set_Oimage(c_Hilbert__Choice_Oinv__into(c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_bool)),V_f,T_a,T_b),c_Set_Oimage(V_f,V_A,T_a,T_b),T_b,T_a) = V_A
% 18.89/19.00 | ~ c_Fun_Oinj__on(V_f,c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_bool)),T_a,T_b) ) ).
% 18.89/19.00
% 18.89/19.00 cnf(cls_gen__analz__insert__eq_0,axiom,
% 18.89/19.00 ( c_Message_Oanalz(c_Set_Oinsert(V_X,V_G,tc_Message_Omsg)) = c_Message_Oanalz(V_G)
% 18.89/19.00 | ~ c_lessequals(V_H,V_G,tc_fun(tc_Message_Omsg,tc_bool))
% 18.89/19.00 | ~ c_in(V_X,c_Message_Oanalz(V_H),tc_Message_Omsg) ) ).
% 18.89/19.00
% 18.89/19.00 cnf(cls_analz__insert__eq__I_0,axiom,
% 18.89/19.00 ( 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)
% 18.89/19.00 | 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) ) ).
% 18.89/19.00
% 18.89/19.00 cnf(cls_analz__insert__eq__I_1,axiom,
% 18.89/19.00 ( 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)
% 18.89/19.00 | ~ 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) ) ).
% 18.89/19.00
% 18.89/19.00 cnf(cls_HPair__synth__analz_1,axiom,
% 18.89/19.00 ( c_in(V_Y,c_Message_Osynth(c_Message_Oanalz(V_H)),tc_Message_Omsg)
% 18.89/19.00 | ~ c_in(c_Message_OHPair(V_X,V_Y),c_Message_Osynth(c_Message_Oanalz(V_H)),tc_Message_Omsg)
% 18.89/19.00 | c_in(V_X,c_Message_Osynth(c_Message_Oanalz(V_H)),tc_Message_Omsg) ) ).
% 18.89/19.00
% 18.89/19.00 cnf(cls_analz__insert__Crypt__subset_0,axiom,
% 18.89/19.00 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)) ).
% 18.89/19.00
% 18.89/19.00 cnf(cls_Crypt__notin__used__empty_0,axiom,
% 18.89/19.00 ~ c_in(c_Message_Omsg_OCrypt(V_K,V_X),c_Event_Oused(c_List_Olist_ONil(tc_Event_Oevent)),tc_Message_Omsg) ).
% 18.89/19.00
% 18.89/19.00 cnf(cls_Nonce__Key__image__eq_0,axiom,
% 18.89/19.00 ~ 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) ).
% 18.89/19.00
% 18.89/19.00 cnf(cls_Hash__notin__image__Key_0,axiom,
% 18.89/19.00 ~ 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) ).
% 18.89/19.00
% 18.89/19.00 cnf(cls_Nonce__notin__initState_0,axiom,
% 18.89/19.00 ~ c_in(c_Message_Omsg_ONonce(V_N),c_Message_Oparts(c_Event_OinitState(V_B)),tc_Message_Omsg) ).
% 18.89/19.00
% 18.89/19.00 cnf(cls_privateKey__notin__image__publicKey_0,axiom,
% 18.89/19.00 ~ 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) ).
% 18.89/19.00
% 18.89/19.00 cnf(cls_A__trusts__NS2_0,axiom,
% 18.89/19.00 ( 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)
% 18.89/19.00 | ~ c_in(V_evs,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))
% 18.89/19.00 | c_in(V_A,c_Event_Obad,tc_Message_Oagent)
% 18.89/19.00 | ~ 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) ) ).
% 18.89/19.00
% 18.89/19.00 cnf(cls_ns__shared_OFake_0,axiom,
% 18.89/19.00 ( 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))
% 18.89/19.00 | ~ c_in(V_X,c_Message_Osynth(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,V_evsf))),tc_Message_Omsg)
% 18.89/19.00 | ~ c_in(V_evsf,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent)) ) ).
% 18.89/19.00
% 18.89/19.00 cnf(cls_Says__S__message__form_0,axiom,
% 18.89/19.00 ( c_in(V_X,c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,V_evs)),tc_Message_Omsg)
% 18.89/19.00 | ~ 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)
% 18.89/19.00 | ~ c_in(V_evs,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))
% 18.89/19.00 | ~ 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) ) ).
% 18.89/19.00
% 18.89/19.00 cnf(cls_range__ex1__eq_1,axiom,
% 18.89/19.00 ( ~ c_in(hAPP(V_f,V_y),c_Set_Oimage(V_f,c_Orderings_Otop__class_Otop(tc_fun(T_aa,tc_bool)),T_aa,T_a),T_a)
% 18.89/19.00 | ~ c_Fun_Oinj__on(V_f,c_Orderings_Otop__class_Otop(tc_fun(T_aa,tc_bool)),T_aa,T_a)
% 18.89/19.00 | V_y = c_ATP__Linkup_Osko__Fun__Xrange__ex1__eq__1__1(hAPP(V_f,V_y),V_f,T_a,T_aa) ) ).
% 18.89/19.00
% 18.89/19.00 cnf(cls_range__ex1__eq_0,axiom,
% 18.89/19.00 ( V_b = hAPP(V_f,c_ATP__Linkup_Osko__Fun__Xrange__ex1__eq__1__1(V_b,V_f,T_b,T_a))
% 18.89/19.00 | ~ c_in(V_b,c_Set_Oimage(V_f,c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_bool)),T_a,T_b),T_b)
% 18.89/19.00 | ~ c_Fun_Oinj__on(V_f,c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_bool)),T_a,T_b) ) ).
% 18.89/19.00
% 18.89/19.00 cnf(cls_range__ex1__eq_3,axiom,
% 18.89/19.00 ( c_ATP__Linkup_Osko__Fun__Xrange__ex1__eq__1__2(hAPP(V_f,V_x),V_f,V_x,T_a,T_aa) != V_x
% 18.89/19.00 | ~ c_Fun_Oinj__on(V_f,c_Orderings_Otop__class_Otop(tc_fun(T_aa,tc_bool)),T_aa,T_a)
% 18.89/19.00 | c_in(hAPP(V_f,V_x),c_Set_Oimage(V_f,c_Orderings_Otop__class_Otop(tc_fun(T_aa,tc_bool)),T_aa,T_a),T_a) ) ).
% 18.89/19.00
% 18.89/19.00 cnf(cls_inj__transfer_0,axiom,
% 18.89/19.00 ( hBOOL(hAPP(V_P,V_x))
% 18.89/19.00 | c_in(c_ATP__Linkup_Osko__Hilbert__Choice__Xinj__transfer__1__1(V_P,V_f,T_a,T_b),c_Set_Oimage(V_f,c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_bool)),T_a,T_b),T_b)
% 18.89/19.00 | ~ c_Fun_Oinj__on(V_f,c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_bool)),T_a,T_b) ) ).
% 18.89/19.00
% 18.89/19.00 cnf(cls_range__ex1__eq_2,axiom,
% 18.89/19.00 ( ~ c_Fun_Oinj__on(V_f,c_Orderings_Otop__class_Otop(tc_fun(T_aa,tc_bool)),T_aa,T_a)
% 18.89/19.00 | c_in(hAPP(V_f,V_x),c_Set_Oimage(V_f,c_Orderings_Otop__class_Otop(tc_fun(T_aa,tc_bool)),T_aa,T_a),T_a)
% 18.89/19.00 | hAPP(V_f,V_x) = hAPP(V_f,c_ATP__Linkup_Osko__Fun__Xrange__ex1__eq__1__2(hAPP(V_f,V_x),V_f,V_x,T_a,T_aa)) ) ).
% 18.89/19.00
% 18.89/19.00 cnf(cls_Hash__synth__analz_1,axiom,
% 18.89/19.00 ( 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)
% 18.89/19.00 | ~ c_in(c_Message_Omsg_OHash(c_Message_Omsg_OMPair(V_X,V_Y)),c_Message_Oanalz(V_H),tc_Message_Omsg)
% 18.89/19.00 | c_in(V_X,c_Message_Osynth(c_Message_Oanalz(V_H)),tc_Message_Omsg) ) ).
% 18.89/19.00
% 18.89/19.00 cnf(cls_Hash__synth__analz_0,axiom,
% 18.89/19.00 ( c_in(c_Message_Omsg_OHash(c_Message_Omsg_OMPair(V_X,V_Y)),c_Message_Oanalz(V_H),tc_Message_Omsg)
% 18.89/19.00 | ~ 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)
% 18.89/19.00 | c_in(V_X,c_Message_Osynth(c_Message_Oanalz(V_H)),tc_Message_Omsg) ) ).
% 18.89/19.00
% 18.89/19.00 cnf(cls_analz_ODecrypt_0,axiom,
% 18.89/19.00 ( c_in(V_X,c_Message_Oanalz(V_H),tc_Message_Omsg)
% 18.89/19.00 | ~ c_in(hAPP(c_Message_Omsg_OKey,c_Message_OinvKey(V_K)),c_Message_Oanalz(V_H),tc_Message_Omsg)
% 18.89/19.00 | ~ c_in(c_Message_Omsg_OCrypt(V_K,V_X),c_Message_Oanalz(V_H),tc_Message_Omsg) ) ).
% 18.89/19.00
% 18.89/19.00 cnf(cls_parts__insert__subset__Un_0,axiom,
% 18.89/19.00 ( 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))
% 18.89/19.00 | ~ c_in(V_X,V_G,tc_Message_Omsg) ) ).
% 18.89/19.00
% 18.89/19.00 cnf(cls_keysFor__parts__insert_0,axiom,
% 18.89/19.00 ( c_in(hAPP(c_Message_Omsg_OKey,c_Message_OinvKey(V_K)),c_Message_Oparts(V_H),tc_Message_Omsg)
% 18.89/19.00 | 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)
% 18.89/19.00 | ~ c_in(V_X,c_Message_Osynth(c_Message_Oanalz(V_H)),tc_Message_Omsg)
% 18.89/19.00 | ~ c_in(V_K,c_Message_OkeysFor(c_Message_Oparts(c_Set_Oinsert(V_X,V_G,tc_Message_Omsg))),tc_nat) ) ).
% 18.89/19.00
% 18.89/19.00 cnf(cls_analz__insert__Key_0,axiom,
% 18.89/19.00 ( 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)
% 18.89/19.00 | c_in(V_K,c_Message_OkeysFor(c_Message_Oanalz(V_H)),tc_nat) ) ).
% 18.89/19.00
% 18.89/19.00 cnf(cls_privateKey__into__used_0,axiom,
% 18.89/19.00 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) ).
% 18.89/19.00
% 18.89/19.00 cnf(cls_parts__knows__Spy__subset__used_0,axiom,
% 18.89/19.00 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)) ).
% 18.89/19.00
% 18.89/19.00 cnf(cls_insert__Key__image_0,axiom,
% 18.89/19.00 c_Set_Oinsert(hAPP(c_Message_Omsg_OKey,V_K),c_Lattices_Oupper__semilattice__class_Osup(c_Set_Oimage(c_Message_Omsg_OKey,V_KK,tc_nat,tc_Message_Omsg),V_C,tc_fun(tc_Message_Omsg,tc_bool)),tc_Message_Omsg) = c_Lattices_Oupper__semilattice__class_Osup(c_Set_Oimage(c_Message_Omsg_OKey,c_Set_Oinsert(V_K,V_KK,tc_nat),tc_nat,tc_Message_Omsg),V_C,tc_fun(tc_Message_Omsg,tc_bool)) ).
% 18.89/19.00
% 18.89/19.00 cnf(cls_priK__in__initState_0,axiom,
% 18.89/19.00 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) ).
% 18.89/19.00
% 18.89/19.00 cnf(cls_privateKey__notin__image__shrK_0,axiom,
% 18.89/19.00 ~ 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) ).
% 18.89/19.00
% 18.89/19.00 cnf(cls_new__keys__not__used_0,axiom,
% 18.89/19.00 ( ~ c_in(V_K,c_Message_OkeysFor(c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,V_evs))),tc_nat)
% 18.89/19.00 | ~ c_in(V_evs,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))
% 18.89/19.00 | ~ c_in(V_K,c_Message_OsymKeys,tc_nat)
% 18.89/19.00 | c_in(hAPP(c_Message_Omsg_OKey,V_K),c_Event_Oused(V_evs),tc_Message_Omsg) ) ).
% 18.89/19.00
% 18.89/19.00 cnf(cls_inj__on__insert_2,axiom,
% 18.89/19.00 ( c_Fun_Oinj__on(V_f,c_Set_Oinsert(V_a,V_A,T_a),T_a,T_b)
% 18.89/19.00 | c_in(hAPP(V_f,V_a),c_Set_Oimage(V_f,c_HOL_Ominus__class_Ominus(V_A,c_Set_Oinsert(V_a,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),tc_fun(T_a,tc_bool)),T_a,T_b),T_b)
% 18.89/19.00 | ~ c_Fun_Oinj__on(V_f,V_A,T_a,T_b) ) ).
% 18.89/19.00
% 18.89/19.00 cnf(cls_inj__on__insert_1,axiom,
% 18.89/19.00 ( ~ c_in(hAPP(V_f,V_a),c_Set_Oimage(V_f,c_HOL_Ominus__class_Ominus(V_A,c_Set_Oinsert(V_a,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),tc_fun(T_a,tc_bool)),T_a,T_b),T_b)
% 18.89/19.00 | ~ c_Fun_Oinj__on(V_f,c_Set_Oinsert(V_a,V_A,T_a),T_a,T_b) ) ).
% 18.89/19.00
% 18.89/19.00 cnf(cls_analz__Crypt__if_0,axiom,
% 18.89/19.00 ( 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)
% 18.89/19.00 | ~ c_in(hAPP(c_Message_Omsg_OKey,c_Message_OinvKey(V_K)),c_Message_Oanalz(V_H),tc_Message_Omsg) ) ).
% 18.89/19.00
% 18.89/19.00 cnf(cls_analz__Crypt__if_1,axiom,
% 18.89/19.00 ( 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)
% 18.89/19.00 | c_in(hAPP(c_Message_Omsg_OKey,c_Message_OinvKey(V_K)),c_Message_Oanalz(V_H),tc_Message_Omsg) ) ).
% 18.89/19.00
% 18.89/19.00 cnf(cls_Crypt__synth__analz_1,axiom,
% 18.89/19.00 ( c_in(c_Message_Omsg_OCrypt(V_K,V_X),c_Message_Osynth(c_Message_Oanalz(V_H)),tc_Message_Omsg)
% 18.89/19.00 | ~ c_in(V_X,c_Message_Osynth(c_Message_Oanalz(V_H)),tc_Message_Omsg)
% 18.89/19.00 | ~ c_in(hAPP(c_Message_Omsg_OKey,c_Message_OinvKey(V_K)),c_Message_Oanalz(V_H),tc_Message_Omsg)
% 18.89/19.00 | ~ c_in(hAPP(c_Message_Omsg_OKey,V_K),c_Message_Oanalz(V_H),tc_Message_Omsg) ) ).
% 18.89/19.00
% 18.89/19.00 cnf(cls_Crypt__synth__analz_0,axiom,
% 18.89/19.00 ( c_in(V_X,c_Message_Osynth(c_Message_Oanalz(V_H)),tc_Message_Omsg)
% 18.89/19.00 | ~ c_in(c_Message_Omsg_OCrypt(V_K,V_X),c_Message_Osynth(c_Message_Oanalz(V_H)),tc_Message_Omsg)
% 18.89/19.00 | ~ c_in(hAPP(c_Message_Omsg_OKey,c_Message_OinvKey(V_K)),c_Message_Oanalz(V_H),tc_Message_Omsg)
% 18.89/19.00 | ~ c_in(hAPP(c_Message_Omsg_OKey,V_K),c_Message_Oanalz(V_H),tc_Message_Omsg) ) ).
% 18.89/19.00
% 18.89/19.00 cnf(cls_analz__Decrypt_H_0,axiom,
% 18.89/19.00 ( c_in(V_X,c_Message_Oanalz(V_H),tc_Message_Omsg)
% 18.89/19.00 | ~ c_in(hAPP(c_Message_Omsg_OKey,V_K),c_Message_Oanalz(V_H),tc_Message_Omsg)
% 18.89/19.00 | ~ c_in(V_K,c_Message_OsymKeys,tc_nat)
% 18.89/19.00 | ~ c_in(c_Message_Omsg_OCrypt(V_K,V_X),c_Message_Oanalz(V_H),tc_Message_Omsg) ) ).
% 18.89/19.00
% 18.89/19.00 cnf(cls_synth__analz__insert__eq_1,axiom,
% 18.89/19.00 ( 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)
% 18.89/19.00 | ~ c_in(hAPP(c_Message_Omsg_OKey,V_K),c_Message_Oanalz(V_G),tc_Message_Omsg)
% 18.89/19.00 | ~ c_lessequals(V_H,V_G,tc_fun(tc_Message_Omsg,tc_bool))
% 18.89/19.00 | ~ c_in(V_X,c_Message_Osynth(c_Message_Oanalz(V_H)),tc_Message_Omsg) ) ).
% 18.89/19.00
% 18.89/19.00 cnf(cls_synth__analz__insert__eq_0,axiom,
% 18.89/19.00 ( c_in(hAPP(c_Message_Omsg_OKey,V_K),c_Message_Oanalz(V_G),tc_Message_Omsg)
% 18.89/19.00 | ~ 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)
% 18.89/19.00 | ~ c_lessequals(V_H,V_G,tc_fun(tc_Message_Omsg,tc_bool))
% 18.89/19.00 | ~ c_in(V_X,c_Message_Osynth(c_Message_Oanalz(V_H)),tc_Message_Omsg) ) ).
% 18.89/19.00
% 18.89/19.00 cnf(cls_Fake__analz__insert_0,axiom,
% 18.89/19.00 ( 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))
% 18.89/19.00 | ~ c_in(V_X,c_Message_Osynth(c_Message_Oanalz(V_G)),tc_Message_Omsg) ) ).
% 18.89/19.00
% 18.89/19.00 cnf(cls_used__parts__subset__parts_0,axiom,
% 18.89/19.00 ( 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))
% 18.89/19.00 | ~ c_in(V_X,c_Event_Oused(V_evs),tc_Message_Omsg) ) ).
% 18.89/19.00
% 18.89/19.00 cnf(cls_Fake__parts__insert_0,axiom,
% 18.89/19.00 ( 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))
% 18.89/19.00 | ~ c_in(V_X,c_Message_Osynth(c_Message_Oanalz(V_H)),tc_Message_Omsg) ) ).
% 18.89/19.00
% 18.89/19.00 cnf(cls_Fake__parts__sing_0,axiom,
% 18.89/19.00 ( 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))
% 18.89/19.00 | ~ c_in(V_X,c_Message_Osynth(c_Message_Oanalz(V_H)),tc_Message_Omsg) ) ).
% 18.89/19.00
% 18.89/19.00 cnf(cls_Spy__spies__bad__privateKey_0,axiom,
% 18.89/19.00 ( 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)
% 18.89/19.00 | ~ c_in(V_A,c_Event_Obad,tc_Message_Oagent) ) ).
% 18.89/19.00
% 18.89/19.00 cnf(cls_analz__image__freshK__lemma_4,axiom,
% 18.89/19.00 ( 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)
% 18.89/19.00 | ~ c_in(V_K,V_nE,tc_nat)
% 18.89/19.00 | ~ c_in(hAPP(c_Message_Omsg_OKey,V_K),c_Message_Oanalz(V_H),tc_Message_Omsg) ) ).
% 18.89/19.00
% 18.89/19.00 cnf(cls_analz__image__freshK__lemma_3,axiom,
% 18.89/19.00 ( 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)
% 18.89/19.00 | ~ c_in(hAPP(c_Message_Omsg_OKey,V_K),c_Message_Oanalz(V_H),tc_Message_Omsg)
% 18.89/19.00 | ~ c_in(V_K,V_nE,tc_nat) ) ).
% 18.89/19.00
% 18.89/19.00 cnf(cls_msg_Osimps_I12_J_0,axiom,
% 18.89/19.00 c_Message_Omsg_OAgent(V_agent) != hAPP(c_Message_Omsg_OKey,V_nat_H) ).
% 18.89/19.00
% 18.89/19.00 cnf(cls_msg_Osimps_I13_J_0,axiom,
% 18.89/19.00 hAPP(c_Message_Omsg_OKey,V_nat_H) != c_Message_Omsg_OAgent(V_agent) ).
% 18.89/19.00
% 18.89/19.00 cnf(cls_msg_Osimps_I40_J_0,axiom,
% 18.89/19.00 hAPP(c_Message_Omsg_OKey,V_nat) != c_Message_Omsg_OMPair(V_msg1_H,V_msg2_H) ).
% 18.89/19.00
% 18.89/19.00 cnf(cls_msg_Osimps_I41_J_0,axiom,
% 18.89/19.00 c_Message_Omsg_OMPair(V_msg1_H,V_msg2_H) != hAPP(c_Message_Omsg_OKey,V_nat) ).
% 18.89/19.00
% 18.89/19.00 cnf(cls_analz__insert__cong_0,axiom,
% 18.89/19.00 ( c_Message_Oanalz(V_H) != c_Message_Oanalz(V_H_H)
% 18.89/19.00 | 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)) ) ).
% 18.89/19.00
% 18.89/19.00 cnf(cls_pubK__neq__shrK_0,axiom,
% 18.89/19.00 hAPP(c_Public_OshrK,V_A) != hAPP(c_Public_OpublicKey(V_b),V_C) ).
% 18.89/19.00
% 18.89/19.00 cnf(cls_shrK__neq__pubK_0,axiom,
% 18.89/19.00 hAPP(c_Public_OpublicKey(V_b),V_C) != hAPP(c_Public_OshrK,V_A) ).
% 18.89/19.00
% 18.89/19.00 cnf(cls_publicKey__image__eq_2,axiom,
% 18.89/19.00 ( 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)
% 18.89/19.00 | ~ c_in(V_xa,V_AA,tc_Message_Oagent) ) ).
% 18.89/19.00
% 18.89/19.00 cnf(cls_publicKey__image__eq_1,axiom,
% 18.89/19.00 ( c_in(V_x,V_AA,tc_Message_Oagent)
% 18.89/19.00 | ~ 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) ) ).
% 18.89/19.00
% 18.89/19.00 cnf(cls_analz__empty_0,axiom,
% 18.89/19.00 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)) ).
% 18.89/19.00
% 18.89/19.00 cnf(cls_Fake__parts__sing__imp__Un_0,axiom,
% 18.89/19.00 ( 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)
% 18.89/19.00 | ~ c_in(V_X,c_Message_Osynth(c_Message_Oanalz(V_H)),tc_Message_Omsg)
% 18.89/19.00 | ~ 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) ) ).
% 18.89/19.00
% 18.89/19.00 cnf(cls_Crypt__Spy__analz__bad_0,axiom,
% 18.89/19.00 ( c_in(V_X,c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,V_evs)),tc_Message_Omsg)
% 18.89/19.00 | ~ c_in(V_A,c_Event_Obad,tc_Message_Oagent)
% 18.89/19.00 | ~ 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) ) ).
% 18.89/19.00
% 18.89/19.00 cnf(cls_insert__is__Un_0,axiom,
% 18.89/19.00 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)) ).
% 18.89/19.00
% 18.89/19.00 cnf(cls_image__constant__conv_0,axiom,
% 18.89/19.00 c_Set_Oimage(c_COMBK(V_c,T_a,T_b),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)) ).
% 18.89/19.00
% 18.89/19.00 cnf(cls_parts__singleton_0,axiom,
% 18.89/19.00 ( c_in(c_Message_Osko__Message__Xparts__singleton__1__1(V_H,V_X),V_H,tc_Message_Omsg)
% 18.89/19.00 | ~ c_in(V_X,c_Message_Oparts(V_H),tc_Message_Omsg) ) ).
% 18.89/19.00
% 18.89/19.00 cnf(cls_parts_OSnd_0,axiom,
% 18.89/19.00 ( c_in(V_Y,c_Message_Oparts(V_H),tc_Message_Omsg)
% 18.89/19.00 | ~ c_in(c_Message_Omsg_OMPair(V_X,V_Y),c_Message_Oparts(V_H),tc_Message_Omsg) ) ).
% 18.89/19.00
% 18.89/19.00 cnf(cls_parts_OFst_0,axiom,
% 18.89/19.00 ( c_in(V_X,c_Message_Oparts(V_H),tc_Message_Omsg)
% 18.89/19.00 | ~ c_in(c_Message_Omsg_OMPair(V_X,V_Y),c_Message_Oparts(V_H),tc_Message_Omsg) ) ).
% 18.89/19.00
% 18.89/19.00 cnf(cls_in__parts__UnE_0,axiom,
% 18.89/19.00 ( c_in(V_c,c_Message_Oparts(V_H),tc_Message_Omsg)
% 18.89/19.00 | c_in(V_c,c_Message_Oparts(V_G),tc_Message_Omsg)
% 18.89/19.00 | ~ 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) ) ).
% 18.89/19.00
% 18.89/19.00 cnf(cls_not__parts__not__analz_0,axiom,
% 18.89/19.00 ( ~ c_in(V_c,c_Message_Oanalz(V_H),tc_Message_Omsg)
% 18.89/19.00 | c_in(V_c,c_Message_Oparts(V_H),tc_Message_Omsg) ) ).
% 18.89/19.00
% 18.89/19.00 cnf(cls_analz__into__parts_0,axiom,
% 18.89/19.00 ( c_in(V_c,c_Message_Oparts(V_H),tc_Message_Omsg)
% 18.89/19.00 | ~ c_in(V_c,c_Message_Oanalz(V_H),tc_Message_Omsg) ) ).
% 18.89/19.00
% 18.89/19.00 cnf(cls_analz__conj__parts_0,axiom,
% 18.89/19.00 ( c_in(V_X,c_Message_Oparts(V_H),tc_Message_Omsg)
% 18.89/19.00 | ~ c_in(V_X,c_Message_Oanalz(V_H),tc_Message_Omsg) ) ).
% 18.89/19.00
% 18.89/19.00 cnf(cls_Crypt__synth_0,axiom,
% 18.89/19.00 ( c_in(V_X,c_Message_Osynth(V_H),tc_Message_Omsg)
% 18.89/19.00 | c_in(c_Message_Omsg_OCrypt(V_K,V_X),V_H,tc_Message_Omsg)
% 18.89/19.00 | ~ c_in(c_Message_Omsg_OCrypt(V_K,V_X),c_Message_Osynth(V_H),tc_Message_Omsg) ) ).
% 18.89/19.00
% 18.89/19.00 cnf(cls_inj__image__eq__iff_0,axiom,
% 18.89/19.00 ( c_Set_Oimage(V_f,V_A,T_a,T_b) != c_Set_Oimage(V_f,V_B,T_a,T_b)
% 18.89/19.00 | ~ c_Fun_Oinj__on(V_f,c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_bool)),T_a,T_b)
% 18.89/19.00 | V_A = V_B ) ).
% 18.89/19.00
% 18.89/19.00 cnf(cls_Key__synth__eq_1,axiom,
% 18.89/19.00 ( c_in(hAPP(c_Message_Omsg_OKey,V_K),c_Message_Osynth(V_H),tc_Message_Omsg)
% 18.89/19.00 | ~ c_in(hAPP(c_Message_Omsg_OKey,V_K),V_H,tc_Message_Omsg) ) ).
% 18.89/19.00
% 18.89/19.00 cnf(cls_Key__synth_0,axiom,
% 18.89/19.00 ( c_in(hAPP(c_Message_Omsg_OKey,V_K),V_H,tc_Message_Omsg)
% 18.89/19.00 | ~ c_in(hAPP(c_Message_Omsg_OKey,V_K),c_Message_Osynth(V_H),tc_Message_Omsg) ) ).
% 18.89/19.00
% 18.89/19.00 cnf(cls_analz__cut_0,axiom,
% 18.89/19.00 ( c_in(V_Y,c_Message_Oanalz(V_H),tc_Message_Omsg)
% 18.89/19.00 | ~ c_in(V_X,c_Message_Oanalz(V_H),tc_Message_Omsg)
% 18.89/19.00 | ~ c_in(V_Y,c_Message_Oanalz(c_Set_Oinsert(V_X,V_H,tc_Message_Omsg)),tc_Message_Omsg) ) ).
% 18.89/19.00
% 18.89/19.00 cnf(cls_synth__cut_0,axiom,
% 18.89/19.00 ( c_in(V_Y,c_Message_Osynth(V_H),tc_Message_Omsg)
% 18.89/19.00 | ~ c_in(V_X,c_Message_Osynth(V_H),tc_Message_Omsg)
% 18.89/19.00 | ~ c_in(V_Y,c_Message_Osynth(c_Set_Oinsert(V_X,V_H,tc_Message_Omsg)),tc_Message_Omsg) ) ).
% 18.89/19.00
% 18.89/19.00 cnf(cls_analz__insert__eq_0,axiom,
% 18.89/19.00 ( c_Message_Oanalz(c_Set_Oinsert(V_X,V_H,tc_Message_Omsg)) = c_Message_Oanalz(V_H)
% 18.89/19.01 | ~ c_in(V_X,c_Message_Oanalz(V_H),tc_Message_Omsg) ) ).
% 18.89/19.01
% 18.89/19.01 cnf(cls_analz__insertI_0,axiom,
% 18.89/19.01 ( c_in(V_c,c_Message_Oanalz(c_Set_Oinsert(V_a,V_G,tc_Message_Omsg)),tc_Message_Omsg)
% 18.89/19.01 | ~ c_in(V_c,c_Message_Oanalz(V_G),tc_Message_Omsg) ) ).
% 18.89/19.01
% 18.89/19.01 cnf(cls_parts__image__Key_0,axiom,
% 18.89/19.01 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) ).
% 18.89/19.01
% 18.89/19.01 cnf(cls_parts__insert__Agent_0,axiom,
% 18.89/19.01 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) ).
% 18.89/19.01
% 18.89/19.01 cnf(cls_parts__insert__MPair_0,axiom,
% 18.89/19.01 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) ).
% 18.89/19.01
% 18.89/19.01 cnf(cls_pushes_I12_J_0,axiom,
% 18.89/19.01 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) ).
% 18.89/19.01
% 18.89/19.01 cnf(cls_pushes_I8_J_0,axiom,
% 18.89/19.01 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) ).
% 18.89/19.01
% 18.89/19.01 cnf(cls_pushes_I1_J_0,axiom,
% 18.89/19.01 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) ).
% 18.89/19.01
% 18.89/19.01 cnf(cls_pushes_I5_J_0,axiom,
% 18.89/19.01 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) ).
% 18.89/19.01
% 18.89/19.01 cnf(cls_analz__spies__pubK_0,axiom,
% 18.89/19.01 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) ).
% 18.89/19.01
% 18.89/19.01 cnf(cls_publicKey__image__eq_0,axiom,
% 18.89/19.01 ( V_b = V_c
% 18.89/19.01 | ~ 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) ) ).
% 18.89/19.01
% 18.89/19.01 cnf(cls_cert__A__form_1,axiom,
% 18.89/19.01 ( 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)))
% 18.89/19.01 | ~ c_in(V_evs,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))
% 18.89/19.01 | c_in(V_A,c_Event_Obad,tc_Message_Oagent)
% 18.89/19.01 | ~ 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) ) ).
% 18.89/19.01
% 18.89/19.01 cnf(cls_Spy__analz__shrK_0,axiom,
% 18.89/19.01 ( c_in(V_A,c_Event_Obad,tc_Message_Oagent)
% 18.89/19.01 | ~ 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)
% 18.89/19.01 | ~ c_in(V_evs,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent)) ) ).
% 18.89/19.01
% 18.89/19.01 cnf(cls_Spy__analz__shrK_1,axiom,
% 18.89/19.01 ( 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)
% 18.89/19.01 | ~ c_in(V_A,c_Event_Obad,tc_Message_Oagent)
% 18.89/19.01 | ~ c_in(V_evs,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent)) ) ).
% 18.89/19.01
% 18.89/19.01 cnf(cls_Spy__spies__bad__shrK_0,axiom,
% 18.89/19.01 ( 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)
% 18.89/19.01 | ~ c_in(V_A,c_Event_Obad,tc_Message_Oagent) ) ).
% 18.89/19.01
% 18.89/19.01 cnf(cls_analz__image__freshK__lemma_0,axiom,
% 18.89/19.01 ( 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)
% 18.89/19.01 | ~ c_in(V_K,V_nE,tc_nat)
% 18.89/19.01 | 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) ) ).
% 18.89/19.01
% 18.89/19.01 cnf(cls_analz__image__freshK__lemma_2,axiom,
% 18.89/19.01 ( 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)
% 18.89/19.01 | ~ c_in(V_K,V_nE,tc_nat)
% 18.89/19.01 | ~ c_in(V_K,V_nE,tc_nat) ) ).
% 18.89/19.01
% 18.89/19.01 cnf(cls_msg_Osimps_I49_J_0,axiom,
% 18.89/19.01 c_Message_Omsg_OCrypt(V_nat_H,V_msg_H) != c_Message_Omsg_OMPair(V_msg1,V_msg2) ).
% 18.89/19.01
% 18.89/19.01 cnf(cls_msg_Osimps_I19_J_0,axiom,
% 18.89/19.01 c_Message_Omsg_OCrypt(V_nat_H,V_msg_H) != c_Message_Omsg_OAgent(V_agent) ).
% 18.89/19.01
% 18.89/19.01 cnf(cls_msg_Osimps_I48_J_0,axiom,
% 18.89/19.01 c_Message_Omsg_OMPair(V_msg1,V_msg2) != c_Message_Omsg_OCrypt(V_nat_H,V_msg_H) ).
% 18.89/19.01
% 18.89/19.01 cnf(cls_msg_Osimps_I18_J_0,axiom,
% 18.89/19.01 c_Message_Omsg_OAgent(V_agent) != c_Message_Omsg_OCrypt(V_nat_H,V_msg_H) ).
% 18.89/19.01
% 18.89/19.01 cnf(cls_Un__UNIV__left_0,axiom,
% 18.89/19.01 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)) ).
% 18.89/19.01
% 18.89/19.01 cnf(cls_Un__UNIV__right_0,axiom,
% 18.89/19.01 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)) ).
% 18.89/19.01
% 18.89/19.01 cnf(cls_injD_0,axiom,
% 18.89/19.01 ( hAPP(V_f,V_x) != hAPP(V_f,V_y)
% 18.89/19.01 | ~ c_Fun_Oinj__on(V_f,c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_bool)),T_a,T_b)
% 18.89/19.01 | V_x = V_y ) ).
% 18.89/19.01
% 18.89/19.01 cnf(cls_Fake__analz__eq_0,axiom,
% 18.89/19.01 ( c_Message_Osynth(c_Message_Oanalz(c_Set_Oinsert(V_X,V_H,tc_Message_Omsg))) = c_Message_Osynth(c_Message_Oanalz(V_H))
% 18.89/19.01 | ~ c_in(V_X,c_Message_Osynth(c_Message_Oanalz(V_H)),tc_Message_Omsg) ) ).
% 18.89/19.01
% 18.89/19.01 cnf(cls_Fake__parts__insert__in__Un_0,axiom,
% 18.89/19.01 ( 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)
% 18.89/19.01 | ~ c_in(V_X,c_Message_Osynth(c_Message_Oanalz(V_H)),tc_Message_Omsg)
% 18.89/19.01 | ~ c_in(V_Z,c_Message_Oparts(c_Set_Oinsert(V_X,V_H,tc_Message_Omsg)),tc_Message_Omsg) ) ).
% 18.89/19.01
% 18.89/19.01 cnf(cls_sup__top__right_0,axiom,
% 18.89/19.01 ( ~ class_Lattices_Obounded__lattice(T_a)
% 18.89/19.01 | c_Lattices_Oupper__semilattice__class_Osup(V_x,c_Orderings_Otop__class_Otop(T_a),T_a) = c_Orderings_Otop__class_Otop(T_a) ) ).
% 18.89/19.01
% 18.89/19.01 cnf(cls_sup__top__left_0,axiom,
% 18.89/19.01 ( ~ class_Lattices_Obounded__lattice(T_a)
% 18.89/19.01 | c_Lattices_Oupper__semilattice__class_Osup(c_Orderings_Otop__class_Otop(T_a),V_x,T_a) = c_Orderings_Otop__class_Otop(T_a) ) ).
% 18.89/19.01
% 18.89/19.01 cnf(cls_publicKey__in__initState_0,axiom,
% 18.89/19.01 c_in(hAPP(c_Message_Omsg_OKey,hAPP(c_Public_OpublicKey(V_b),V_A)),c_Event_OinitState(V_B),tc_Message_Omsg) ).
% 18.89/19.01
% 18.89/19.01 cnf(cls_publicKey__into__used_0,axiom,
% 18.89/19.01 c_in(hAPP(c_Message_Omsg_OKey,hAPP(c_Public_OpublicKey(V_b),V_A)),c_Event_Oused(V_evs),tc_Message_Omsg) ).
% 18.89/19.01
% 18.89/19.01 cnf(cls_parts__Un_0,axiom,
% 18.89/19.01 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)) ).
% 18.89/19.01
% 18.89/19.01 cnf(cls_analz__parts_0,axiom,
% 18.89/19.01 c_Message_Oanalz(c_Message_Oparts(V_H)) = c_Message_Oparts(V_H) ).
% 18.89/19.01
% 18.89/19.01 cnf(cls_parts__analz_0,axiom,
% 18.89/19.01 c_Message_Oparts(c_Message_Oanalz(V_H)) = c_Message_Oparts(V_H) ).
% 18.89/19.01
% 18.89/19.01 cnf(cls_analz__image__freshK__simps_I57_J_0,axiom,
% 18.89/19.01 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) ).
% 18.89/19.01
% 18.89/19.01 cnf(cls_image__Un_0,axiom,
% 18.89/19.01 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)) ).
% 18.89/19.01
% 18.89/19.01 cnf(cls_initState__into__used_0,axiom,
% 18.89/19.01 ( c_in(V_X,c_Event_Oused(V_evs),tc_Message_Omsg)
% 18.89/19.01 | ~ c_in(V_X,c_Message_Oparts(c_Event_OinitState(V_B)),tc_Message_Omsg) ) ).
% 18.89/19.01
% 18.89/19.01 cnf(cls_synth__synthD_0,axiom,
% 18.89/19.01 ( c_in(V_X,c_Message_Osynth(V_H),tc_Message_Omsg)
% 18.89/19.01 | ~ c_in(V_X,c_Message_Osynth(c_Message_Osynth(V_H)),tc_Message_Omsg) ) ).
% 18.89/19.01
% 18.89/19.01 cnf(cls_synth_OInj_0,axiom,
% 18.89/19.01 ( c_in(V_X,c_Message_Osynth(V_H),tc_Message_Omsg)
% 18.89/19.01 | ~ c_in(V_X,V_H,tc_Message_Omsg) ) ).
% 18.89/19.01
% 18.89/19.01 cnf(cls_analz__analzD_0,axiom,
% 18.89/19.01 ( c_in(V_X,c_Message_Oanalz(V_H),tc_Message_Omsg)
% 18.89/19.01 | ~ c_in(V_X,c_Message_Oanalz(c_Message_Oanalz(V_H)),tc_Message_Omsg) ) ).
% 18.89/19.01
% 18.89/19.01 cnf(cls_analz_OInj_0,axiom,
% 18.89/19.01 ( c_in(V_X,c_Message_Oanalz(V_H),tc_Message_Omsg)
% 18.89/19.01 | ~ c_in(V_X,V_H,tc_Message_Omsg) ) ).
% 18.89/19.01
% 18.89/19.01 cnf(cls_inj__on__insert_0,axiom,
% 18.89/19.01 ( c_Fun_Oinj__on(V_f,V_A,T_a,T_b)
% 18.89/19.01 | ~ c_Fun_Oinj__on(V_f,c_Set_Oinsert(V_a,V_A,T_a),T_a,T_b) ) ).
% 18.89/19.01
% 18.89/19.01 cnf(cls_Un__insert__left_0,axiom,
% 18.89/19.01 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) ).
% 18.89/19.01
% 18.89/19.01 cnf(cls_Un__insert__right_0,axiom,
% 18.89/19.01 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) ).
% 18.89/19.01
% 18.89/19.01 cnf(cls_Un__empty_0,axiom,
% 18.89/19.01 ( 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))
% 18.89/19.01 | V_A = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)) ) ).
% 18.89/19.01
% 18.89/19.01 cnf(cls_Un__empty_1,axiom,
% 18.89/19.01 ( 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))
% 18.89/19.01 | V_B = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)) ) ).
% 18.89/19.01
% 18.89/19.01 cnf(cls_inj__on__empty_0,axiom,
% 18.89/19.01 c_Fun_Oinj__on(V_f,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a,T_b) ).
% 18.89/19.01
% 18.89/19.01 cnf(cls_Un__empty__left_0,axiom,
% 18.89/19.01 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 ).
% 18.89/19.01
% 18.89/19.01 cnf(cls_Un__empty__right_0,axiom,
% 18.89/19.01 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 ).
% 18.89/19.01
% 18.89/19.01 cnf(cls_Un__empty_2,axiom,
% 18.89/19.01 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)) ).
% 18.89/19.01
% 18.89/19.01 cnf(cls_sup__eq__bot__eq2_0,axiom,
% 18.89/19.01 ( ~ class_Lattices_Obounded__lattice(T_a)
% 18.89/19.01 | c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,T_a) != c_Orderings_Obot__class_Obot(T_a)
% 18.89/19.01 | V_B = c_Orderings_Obot__class_Obot(T_a) ) ).
% 18.89/19.01
% 18.89/19.01 cnf(cls_sup__eq__bot__eq1_0,axiom,
% 18.89/19.01 ( ~ class_Lattices_Obounded__lattice(T_a)
% 18.89/19.01 | c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,T_a) != c_Orderings_Obot__class_Obot(T_a)
% 18.89/19.01 | V_A = c_Orderings_Obot__class_Obot(T_a) ) ).
% 18.89/19.01
% 18.89/19.01 cnf(cls_sup__bot__right_0,axiom,
% 18.89/19.01 ( ~ class_Lattices_Obounded__lattice(T_a)
% 18.89/19.01 | c_Lattices_Oupper__semilattice__class_Osup(V_x,c_Orderings_Obot__class_Obot(T_a),T_a) = V_x ) ).
% 18.89/19.01
% 18.89/19.01 cnf(cls_sup__bot__left_0,axiom,
% 18.89/19.01 ( ~ class_Lattices_Obounded__lattice(T_a)
% 18.89/19.01 | c_Lattices_Oupper__semilattice__class_Osup(c_Orderings_Obot__class_Obot(T_a),V_x,T_a) = V_x ) ).
% 18.89/19.01
% 18.89/19.01 cnf(cls_inj__onD_0,axiom,
% 18.89/19.01 ( hAPP(V_f,V_x) != hAPP(V_f,V_y)
% 18.89/19.01 | ~ c_Fun_Oinj__on(V_f,V_A,T_a,T_b)
% 18.89/19.01 | V_x = V_y
% 18.89/19.01 | ~ c_in(V_y,V_A,T_a)
% 18.89/19.01 | ~ c_in(V_x,V_A,T_a) ) ).
% 18.89/19.01
% 18.89/19.01 cnf(cls_inj__on__def_0,axiom,
% 18.89/19.01 ( hAPP(V_f,V_x) != hAPP(V_f,V_xa)
% 18.89/19.01 | ~ c_in(V_xa,V_A,T_a)
% 18.89/19.01 | ~ c_in(V_x,V_A,T_a)
% 18.89/19.01 | ~ c_Fun_Oinj__on(V_f,V_A,T_a,T_b)
% 18.89/19.01 | V_x = V_xa ) ).
% 18.89/19.01
% 18.89/19.01 cnf(cls_inj__on__iff_0,axiom,
% 18.89/19.01 ( hAPP(V_f,V_x) != hAPP(V_f,V_y)
% 18.89/19.01 | ~ c_in(V_y,V_A,T_a)
% 18.89/19.01 | ~ c_in(V_x,V_A,T_a)
% 18.89/19.01 | ~ c_Fun_Oinj__on(V_f,V_A,T_a,T_b)
% 18.89/19.01 | V_x = V_y ) ).
% 18.89/19.01
% 18.89/19.01 cnf(cls_inj__on__contraD_0,axiom,
% 18.89/19.01 ( hAPP(V_f,V_x) != hAPP(V_f,V_y)
% 18.89/19.01 | ~ c_in(V_y,V_A,T_a)
% 18.89/19.01 | ~ c_in(V_x,V_A,T_a)
% 18.89/19.01 | V_x = V_y
% 18.89/19.01 | ~ c_Fun_Oinj__on(V_f,V_A,T_a,T_b) ) ).
% 18.89/19.01
% 18.89/19.01 cnf(cls_UnE_0,axiom,
% 18.89/19.01 ( c_in(V_c,V_B,T_a)
% 18.89/19.01 | c_in(V_c,V_A,T_a)
% 18.89/19.01 | ~ c_in(V_c,c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_a,tc_bool)),T_a) ) ).
% 18.89/19.01
% 18.89/19.01 cnf(cls_UnCI_0,axiom,
% 18.89/19.01 ( c_in(V_c,c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_a,tc_bool)),T_a)
% 18.89/19.01 | ~ c_in(V_c,V_B,T_a) ) ).
% 18.89/19.01
% 18.89/19.01 cnf(cls_UnCI_1,axiom,
% 18.89/19.01 ( c_in(V_c,c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_a,tc_bool)),T_a)
% 18.89/19.01 | ~ c_in(V_c,V_A,T_a) ) ).
% 18.89/19.01
% 18.89/19.01 cnf(cls_inj__on__Un_0,axiom,
% 18.89/19.01 ( c_Fun_Oinj__on(V_f,V_A,T_a,T_b)
% 18.89/19.01 | ~ c_Fun_Oinj__on(V_f,c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_a,tc_bool)),T_a,T_b) ) ).
% 18.89/19.01
% 18.89/19.01 cnf(cls_inj__on__Un_1,axiom,
% 18.89/19.01 ( c_Fun_Oinj__on(V_f,V_B,T_a,T_b)
% 18.89/19.01 | ~ c_Fun_Oinj__on(V_f,c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_a,tc_bool)),T_a,T_b) ) ).
% 18.89/19.01
% 18.89/19.01 cnf(cls_analz__synth_0,axiom,
% 18.89/19.01 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)) ).
% 18.89/19.01
% 18.89/19.01 cnf(cls_synth__idem_0,axiom,
% 18.89/19.01 c_Message_Osynth(c_Message_Osynth(V_H)) = c_Message_Osynth(V_H) ).
% 18.89/19.01
% 18.89/19.01 cnf(cls_inf__sup__aci_I8_J_0,axiom,
% 18.89/19.01 ( ~ class_Lattices_Olattice(T_a)
% 18.89/19.01 | 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) ) ).
% 18.89/19.01
% 18.89/19.01 cnf(cls_sup__left__idem_0,axiom,
% 18.89/19.01 ( ~ class_Lattices_Oupper__semilattice(T_a)
% 18.89/19.01 | 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) ) ).
% 18.89/19.01
% 18.89/19.01 cnf(cls_Un__left__absorb_0,axiom,
% 18.89/19.01 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)) ).
% 18.89/19.01
% 18.89/19.01 cnf(cls_inf__sup__aci_I5_J_0,axiom,
% 18.89/19.01 ( ~ class_Lattices_Olattice(T_a)
% 18.89/19.01 | c_Lattices_Oupper__semilattice__class_Osup(V_x,V_y,T_a) = c_Lattices_Oupper__semilattice__class_Osup(V_y,V_x,T_a) ) ).
% 18.89/19.01
% 18.89/19.01 cnf(cls_sup__commute_0,axiom,
% 18.89/19.01 ( ~ class_Lattices_Oupper__semilattice(T_a)
% 18.89/19.01 | c_Lattices_Oupper__semilattice__class_Osup(V_x,V_y,T_a) = c_Lattices_Oupper__semilattice__class_Osup(V_y,V_x,T_a) ) ).
% 18.89/19.01
% 18.89/19.01 cnf(cls_Un__commute_0,axiom,
% 18.89/19.01 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)) ).
% 18.89/19.01
% 18.89/19.01 cnf(cls_analz__insert__MPair_0,axiom,
% 18.89/19.01 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) ).
% 18.89/19.01
% 18.89/19.01 cnf(cls_analz__insert__Agent_0,axiom,
% 18.89/19.01 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) ).
% 18.89/19.01
% 18.89/19.01 cnf(cls_analz__image__freshK__simps_I61_J_0,axiom,
% 18.89/19.01 ( 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)
% 18.89/19.01 | ~ c_in(V_c,c_Message_Oanalz(V_G),tc_Message_Omsg) ) ).
% 18.89/19.01
% 18.89/19.01 cnf(cls_Agent__synth_0,axiom,
% 18.89/19.01 c_in(c_Message_Omsg_OAgent(V_A),c_Message_Osynth(V_H),tc_Message_Omsg) ).
% 18.89/19.01
% 18.89/19.01 cnf(cls_synth_OAgent_0,axiom,
% 18.89/19.01 c_in(c_Message_Omsg_OAgent(V_agt),c_Message_Osynth(V_H),tc_Message_Omsg) ).
% 18.89/19.01
% 18.89/19.01 cnf(cls_msg_Osimps_I6_J_1,axiom,
% 18.89/19.01 ( c_Message_Omsg_OMPair(V_msg1,V_msg2) != c_Message_Omsg_OMPair(V_msg1_H,V_msg2_H)
% 18.89/19.01 | V_msg2 = V_msg2_H ) ).
% 18.89/19.01
% 18.89/19.01 cnf(cls_msg_Osimps_I6_J_0,axiom,
% 18.89/19.01 ( c_Message_Omsg_OMPair(V_msg1,V_msg2) != c_Message_Omsg_OMPair(V_msg1_H,V_msg2_H)
% 18.89/19.01 | V_msg1 = V_msg1_H ) ).
% 18.89/19.01
% 18.89/19.01 cnf(cls_analz__cong_0,axiom,
% 18.89/19.01 ( c_Message_Oanalz(V_H) != c_Message_Oanalz(V_H_H)
% 18.89/19.01 | c_Message_Oanalz(V_G) != c_Message_Oanalz(V_G_H)
% 18.89/19.01 | 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))) ) ).
% 18.89/19.01
% 18.89/19.01 cnf(cls_inf__sup__aci_I6_J_0,axiom,
% 18.89/19.01 ( ~ class_Lattices_Olattice(T_a)
% 18.89/19.01 | 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) ) ).
% 18.89/19.01
% 18.89/19.01 cnf(cls_inf__sup__aci_I7_J_0,axiom,
% 18.89/19.01 ( ~ class_Lattices_Olattice(T_a)
% 18.89/19.01 | 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) ) ).
% 18.89/19.01
% 18.89/19.01 cnf(cls_analz__image__freshK__simps_I65_J_0,axiom,
% 18.89/19.01 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)) ).
% 18.89/19.01
% 18.89/19.01 cnf(cls_sup__left__commute_0,axiom,
% 18.89/19.01 ( ~ class_Lattices_Oupper__semilattice(T_a)
% 18.89/19.01 | 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) ) ).
% 18.89/19.01
% 18.89/19.01 cnf(cls_sup__assoc_0,axiom,
% 18.89/19.01 ( ~ class_Lattices_Oupper__semilattice(T_a)
% 18.89/19.01 | 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) ) ).
% 18.89/19.01
% 18.89/19.01 cnf(cls_Un__assoc_0,axiom,
% 18.89/19.01 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)) ).
% 18.89/19.01
% 18.89/19.01 cnf(cls_Un__left__commute_0,axiom,
% 18.89/19.01 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)) ).
% 18.89/19.01
% 18.89/19.01 cnf(cls_analz__analz__Un_0,axiom,
% 18.89/19.01 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))) ).
% 18.89/19.01
% 18.89/19.01 cnf(cls_COMBK__def_0,axiom,
% 18.89/19.01 hAPP(c_COMBK(V_P,T_a,T_b),V_Q) = V_P ).
% 18.89/19.01
% 18.89/19.01 cnf(cls_parts__synth_0,axiom,
% 18.89/19.01 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)) ).
% 18.89/19.01
% 18.89/19.01 cnf(cls_publicKey__inject_0,axiom,
% 18.89/19.01 ( hAPP(c_Public_OpublicKey(V_b),V_A) != hAPP(c_Public_OpublicKey(V_c),V_A_H)
% 18.89/19.01 | V_b = V_c ) ).
% 18.89/19.01
% 18.89/19.01 cnf(cls_publicKey__inject_1,axiom,
% 18.89/19.01 ( hAPP(c_Public_OpublicKey(V_b),V_A) != hAPP(c_Public_OpublicKey(V_c),V_A_H)
% 18.89/19.01 | V_A = V_A_H ) ).
% 18.89/19.01
% 18.89/19.01 cnf(cls_sup__idem_0,axiom,
% 18.89/19.01 ( ~ class_Lattices_Oupper__semilattice(T_a)
% 18.89/19.01 | c_Lattices_Oupper__semilattice__class_Osup(V_x,V_x,T_a) = V_x ) ).
% 18.89/19.01
% 18.89/19.01 cnf(cls_Un__absorb_0,axiom,
% 18.89/19.01 c_Lattices_Oupper__semilattice__class_Osup(V_A,V_A,tc_fun(T_a,tc_bool)) = V_A ).
% 18.89/19.01
% 18.89/19.01 cnf(cls_MPair__synth__analz_2,axiom,
% 18.89/19.01 ( c_in(c_Message_Omsg_OMPair(V_X,V_Y),c_Message_Osynth(c_Message_Oanalz(V_H)),tc_Message_Omsg)
% 18.89/19.01 | ~ c_in(V_Y,c_Message_Osynth(c_Message_Oanalz(V_H)),tc_Message_Omsg)
% 18.89/19.01 | ~ c_in(V_X,c_Message_Osynth(c_Message_Oanalz(V_H)),tc_Message_Omsg) ) ).
% 18.89/19.01
% 18.89/19.01 cnf(cls_analz__synth__Un_0,axiom,
% 18.89/19.01 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)) ).
% 18.89/19.01
% 18.89/19.01 cnf(cls_inj__on__Un__image__eq__iff_0,axiom,
% 18.89/19.01 ( c_Set_Oimage(V_f,V_A,T_a,T_b) != c_Set_Oimage(V_f,V_B,T_a,T_b)
% 18.89/19.01 | ~ c_Fun_Oinj__on(V_f,c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_a,tc_bool)),T_a,T_b)
% 18.89/19.01 | V_A = V_B ) ).
% 18.89/19.01
% 18.89/19.01 cnf(cls_msg_Osimps_I16_J_0,axiom,
% 18.89/19.01 c_Message_Omsg_OAgent(V_agent) != c_Message_Omsg_OMPair(V_msg1_H,V_msg2_H) ).
% 18.89/19.01
% 18.89/19.01 cnf(cls_MPair__synth_0,axiom,
% 18.89/19.01 ( c_in(V_X,c_Message_Osynth(V_H),tc_Message_Omsg)
% 18.89/19.01 | c_in(c_Message_Omsg_OMPair(V_X,V_Y),V_H,tc_Message_Omsg)
% 18.89/19.01 | ~ c_in(c_Message_Omsg_OMPair(V_X,V_Y),c_Message_Osynth(V_H),tc_Message_Omsg) ) ).
% 18.89/19.01
% 18.89/19.01 cnf(cls_MPair__synth_1,axiom,
% 18.89/19.01 ( c_in(V_Y,c_Message_Osynth(V_H),tc_Message_Omsg)
% 18.89/19.01 | c_in(c_Message_Omsg_OMPair(V_X,V_Y),V_H,tc_Message_Omsg)
% 18.89/19.01 | ~ c_in(c_Message_Omsg_OMPair(V_X,V_Y),c_Message_Osynth(V_H),tc_Message_Omsg) ) ).
% 18.89/19.01
% 18.89/19.01 cnf(cls_sup1E_0,axiom,
% 18.89/19.01 ( hBOOL(hAPP(V_B,V_x))
% 18.89/19.01 | hBOOL(hAPP(V_A,V_x))
% 18.89/19.01 | ~ hBOOL(hAPP(c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_a,tc_bool)),V_x)) ) ).
% 18.89/19.01
% 18.89/19.01 cnf(cls_sup1CI_0,axiom,
% 18.89/19.01 ( hBOOL(hAPP(c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_a,tc_bool)),V_x))
% 18.89/19.01 | ~ hBOOL(hAPP(V_B,V_x)) ) ).
% 18.89/19.01
% 18.89/19.01 cnf(cls_sup1CI_1,axiom,
% 18.89/19.01 ( hBOOL(hAPP(c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_a,tc_bool)),V_x))
% 18.89/19.01 | ~ hBOOL(hAPP(V_A,V_x)) ) ).
% 18.89/19.01
% 18.89/19.01 cnf(cls_analz__image__Key_0,axiom,
% 18.89/19.01 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) ).
% 18.89/19.01
% 18.89/19.01 cnf(cls_msg_Osimps_I17_J_0,axiom,
% 18.89/19.01 c_Message_Omsg_OMPair(V_msg1_H,V_msg2_H) != c_Message_Omsg_OAgent(V_agent) ).
% 18.89/19.01
% 18.89/19.01 cnf(cls_analz__image__freshK__lemma_5,axiom,
% 18.89/19.01 ( 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)
% 18.89/19.01 | ~ c_in(hAPP(c_Message_Omsg_OKey,V_K),c_Message_Oanalz(V_H),tc_Message_Omsg)
% 18.89/19.01 | ~ c_in(hAPP(c_Message_Omsg_OKey,V_K),c_Message_Oanalz(V_H),tc_Message_Omsg) ) ).
% 18.89/19.01
% 18.89/19.01 cnf(cls_Spy__in__bad_0,axiom,
% 18.89/19.01 c_in(c_Message_Oagent_OSpy,c_Event_Obad,tc_Message_Oagent) ).
% 18.89/19.01
% 18.89/19.01 cnf(cls_synth_OMPair_0,axiom,
% 18.89/19.01 ( c_in(c_Message_Omsg_OMPair(V_X,V_Y),c_Message_Osynth(V_H),tc_Message_Omsg)
% 18.89/19.01 | ~ c_in(V_Y,c_Message_Osynth(V_H),tc_Message_Omsg)
% 18.89/19.01 | ~ c_in(V_X,c_Message_Osynth(V_H),tc_Message_Omsg) ) ).
% 18.89/19.01
% 18.89/19.01 cnf(cls_MPair__used_0,axiom,
% 18.89/19.01 ( c_in(V_X,c_Event_Oused(V_H),tc_Message_Omsg)
% 18.89/19.01 | ~ c_in(c_Message_Omsg_OMPair(V_X,V_Y),c_Event_Oused(V_H),tc_Message_Omsg) ) ).
% 18.89/19.01
% 18.89/19.01 cnf(cls_MPair__used_1,axiom,
% 18.89/19.01 ( c_in(V_Y,c_Event_Oused(V_H),tc_Message_Omsg)
% 18.89/19.01 | ~ c_in(c_Message_Omsg_OMPair(V_X,V_Y),c_Event_Oused(V_H),tc_Message_Omsg) ) ).
% 18.89/19.01
% 18.89/19.01 cnf(cls_analz_OFst_0,axiom,
% 18.89/19.01 ( c_in(V_X,c_Message_Oanalz(V_H),tc_Message_Omsg)
% 18.89/19.01 | ~ c_in(c_Message_Omsg_OMPair(V_X,V_Y),c_Message_Oanalz(V_H),tc_Message_Omsg) ) ).
% 18.89/19.01
% 18.89/19.01 cnf(cls_analz_OSnd_0,axiom,
% 18.89/19.01 ( c_in(V_Y,c_Message_Oanalz(V_H),tc_Message_Omsg)
% 18.89/19.01 | ~ c_in(c_Message_Omsg_OMPair(V_X,V_Y),c_Message_Oanalz(V_H),tc_Message_Omsg) ) ).
% 18.89/19.01
% 18.89/19.01 cnf(cls_analz__idem_0,axiom,
% 18.89/19.01 c_Message_Oanalz(c_Message_Oanalz(V_H)) = c_Message_Oanalz(V_H) ).
% 18.89/19.01
% 18.89/19.01 cnf(cls_MPair__synth__analz_0,axiom,
% 18.89/19.01 ( c_in(V_X,c_Message_Osynth(c_Message_Oanalz(V_H)),tc_Message_Omsg)
% 18.89/19.01 | ~ c_in(c_Message_Omsg_OMPair(V_X,V_Y),c_Message_Osynth(c_Message_Oanalz(V_H)),tc_Message_Omsg) ) ).
% 18.89/19.01
% 18.89/19.01 cnf(cls_MPair__synth__analz_1,axiom,
% 18.89/19.01 ( c_in(V_Y,c_Message_Osynth(c_Message_Oanalz(V_H)),tc_Message_Omsg)
% 18.89/19.01 | ~ c_in(c_Message_Omsg_OMPair(V_X,V_Y),c_Message_Osynth(c_Message_Oanalz(V_H)),tc_Message_Omsg) ) ).
% 18.89/19.01
% 18.89/19.01 cnf(cls_analz__image__freshK__lemma_1,axiom,
% 18.89/19.01 ( 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)
% 18.89/19.01 | ~ c_in(hAPP(c_Message_Omsg_OKey,V_K),c_Message_Oanalz(V_H),tc_Message_Omsg)
% 18.89/19.01 | 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) ) ).
% 18.89/19.01
% 18.89/19.01 cnf(cls_msg_Osimps_I1_J_0,axiom,
% 18.89/19.01 ( c_Message_Omsg_OAgent(V_agent) != c_Message_Omsg_OAgent(V_agent_H)
% 18.89/19.01 | V_agent = V_agent_H ) ).
% 18.89/19.01
% 18.89/19.01 cnf(cls_inj__image__mem__iff_1,axiom,
% 18.89/19.01 ( c_in(hAPP(V_f,V_a),c_Set_Oimage(V_f,V_A,T_a,T_b),T_b)
% 18.89/19.01 | ~ c_in(V_a,V_A,T_a)
% 18.89/19.01 | ~ c_Fun_Oinj__on(V_f,c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_bool)),T_a,T_b) ) ).
% 18.89/19.01
% 18.89/19.01 cnf(cls_inj__image__mem__iff_0,axiom,
% 18.89/19.01 ( c_in(V_a,V_A,T_a)
% 18.89/19.01 | ~ c_in(hAPP(V_f,V_a),c_Set_Oimage(V_f,V_A,T_a,T_b),T_b)
% 18.89/19.01 | ~ c_Fun_Oinj__on(V_f,c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_bool)),T_a,T_b) ) ).
% 18.89/19.01
% 18.89/19.01 cnf(cls_rangeE_0,axiom,
% 18.89/19.01 ( V_b = hAPP(V_f,c_ATP__Linkup_Osko__Set__XrangeE__1__1(V_b,V_f,T_a,T_b))
% 18.89/19.01 | ~ c_in(V_b,c_Set_Oimage(V_f,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_bool)),T_b,T_a),T_a) ) ).
% 18.89/19.01
% 18.89/19.01 cnf(cls_image__constant__conv_1,axiom,
% 18.89/19.01 ( c_Set_Oimage(c_COMBK(V_c,T_a,T_b),V_A,T_b,T_a) = c_Set_Oinsert(V_c,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a)
% 18.89/19.01 | V_A = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_bool)) ) ).
% 18.89/19.01
% 18.89/19.01 cnf(cls_Crypt__notin__initState_0,axiom,
% 18.89/19.01 ~ c_in(c_Message_Omsg_OCrypt(V_K,V_X),c_Message_Oparts(c_Event_OinitState(V_B)),tc_Message_Omsg) ).
% 18.89/19.01
% 18.89/19.01 cnf(cls_parts__cut_0,axiom,
% 18.89/19.01 ( 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)
% 18.89/19.01 | ~ c_in(V_X,c_Message_Oparts(V_H),tc_Message_Omsg)
% 18.89/19.01 | ~ c_in(V_Y,c_Message_Oparts(c_Set_Oinsert(V_X,V_G,tc_Message_Omsg)),tc_Message_Omsg) ) ).
% 18.89/19.01
% 18.89/19.01 cnf(cls_parts__insert__eq__I_1,axiom,
% 18.89/19.01 ( 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)
% 18.89/19.01 | ~ 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) ) ).
% 18.89/19.01
% 18.89/19.01 cnf(cls_parts__insert__eq__I_0,axiom,
% 18.89/19.01 ( 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)
% 18.89/19.01 | 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) ) ).
% 18.89/19.01
% 18.89/19.01 cnf(cls_Crypt__notin__image__Key_0,axiom,
% 18.89/19.01 ~ 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) ).
% 18.89/19.01
% 18.89/19.01 cnf(cls_Crypt__synth__eq_1,axiom,
% 18.89/19.01 ( c_in(c_Message_Omsg_OCrypt(V_K,V_X),c_Message_Osynth(V_H),tc_Message_Omsg)
% 18.89/19.01 | ~ c_in(c_Message_Omsg_OCrypt(V_K,V_X),V_H,tc_Message_Omsg)
% 18.89/19.01 | c_in(hAPP(c_Message_Omsg_OKey,V_K),V_H,tc_Message_Omsg) ) ).
% 18.89/19.01
% 18.89/19.01 cnf(cls_Crypt__synth__eq_0,axiom,
% 18.89/19.01 ( c_in(c_Message_Omsg_OCrypt(V_K,V_X),V_H,tc_Message_Omsg)
% 18.89/19.01 | ~ c_in(c_Message_Omsg_OCrypt(V_K,V_X),c_Message_Osynth(V_H),tc_Message_Omsg)
% 18.89/19.01 | c_in(hAPP(c_Message_Omsg_OKey,V_K),V_H,tc_Message_Omsg) ) ).
% 18.89/19.01
% 18.89/19.01 cnf(cls_Crypt__synth_1,axiom,
% 18.89/19.01 ( c_in(hAPP(c_Message_Omsg_OKey,V_K),V_H,tc_Message_Omsg)
% 18.89/19.01 | c_in(c_Message_Omsg_OCrypt(V_K,V_X),V_H,tc_Message_Omsg)
% 18.89/19.01 | ~ c_in(c_Message_Omsg_OCrypt(V_K,V_X),c_Message_Osynth(V_H),tc_Message_Omsg) ) ).
% 18.89/19.01
% 18.89/19.01 cnf(cls_synth_OCrypt_0,axiom,
% 18.89/19.01 ( c_in(c_Message_Omsg_OCrypt(V_K,V_X),c_Message_Osynth(V_H),tc_Message_Omsg)
% 18.89/19.01 | ~ c_in(hAPP(c_Message_Omsg_OKey,V_K),V_H,tc_Message_Omsg)
% 18.89/19.01 | ~ c_in(V_X,c_Message_Osynth(V_H),tc_Message_Omsg) ) ).
% 18.89/19.01
% 18.89/19.01 cnf(cls_Key__image__eq_1,axiom,
% 18.89/19.01 ( 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)
% 18.89/19.01 | ~ c_in(V_x,V_A,tc_nat) ) ).
% 18.89/19.01
% 18.89/19.01 cnf(cls_Key__image__eq_0,axiom,
% 18.89/19.01 ( c_in(V_x,V_A,tc_nat)
% 18.89/19.01 | ~ 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) ) ).
% 18.89/19.01
% 18.89/19.01 cnf(cls_shrK__in__initState_0,axiom,
% 18.89/19.01 c_in(hAPP(c_Message_Omsg_OKey,hAPP(c_Public_OshrK,V_A)),c_Event_OinitState(V_A),tc_Message_Omsg) ).
% 18.89/19.01
% 18.89/19.01 cnf(cls_shrK__in__used_0,axiom,
% 18.89/19.01 c_in(hAPP(c_Message_Omsg_OKey,hAPP(c_Public_OshrK,V_A)),c_Event_Oused(V_evs),tc_Message_Omsg) ).
% 18.89/19.01
% 18.89/19.01 cnf(cls_neq__shrK_0,axiom,
% 18.89/19.01 c_in(hAPP(c_Message_Omsg_OKey,hAPP(c_Public_OshrK,V_B)),c_Event_Oused(V_evs),tc_Message_Omsg) ).
% 18.89/19.01
% 18.89/19.01 cnf(cls_parts__insert_0,axiom,
% 18.89/19.01 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)) ).
% 18.89/19.01
% 18.89/19.01 cnf(cls_parts__insert2_0,axiom,
% 18.89/19.01 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)) ).
% 18.89/19.01
% 18.89/19.01 cnf(cls_cert__A__form_0,axiom,
% 18.89/19.01 ( ~ 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)
% 18.89/19.01 | ~ c_in(V_evs,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))
% 18.89/19.01 | c_in(V_A,c_Event_Obad,tc_Message_Oagent)
% 18.89/19.01 | ~ 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) ) ).
% 18.89/19.01
% 18.89/19.01 cnf(cls_publicKey__notin__image__shrK_0,axiom,
% 18.89/19.01 ~ 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) ).
% 18.89/19.01
% 18.89/19.01 cnf(cls_shrK__image__eq_1,axiom,
% 18.89/19.01 ( c_in(hAPP(c_Public_OshrK,V_x),c_Set_Oimage(c_Public_OshrK,V_AA,tc_Message_Oagent,tc_nat),tc_nat)
% 18.89/19.01 | ~ c_in(V_x,V_AA,tc_Message_Oagent) ) ).
% 18.89/19.01
% 18.89/19.01 cnf(cls_shrK__image__eq_0,axiom,
% 18.89/19.01 ( c_in(V_x,V_AA,tc_Message_Oagent)
% 18.89/19.01 | ~ c_in(hAPP(c_Public_OshrK,V_x),c_Set_Oimage(c_Public_OshrK,V_AA,tc_Message_Oagent,tc_nat),tc_nat) ) ).
% 18.89/19.01
% 18.89/19.01 cnf(cls_shrK__notin__image__publicKey_0,axiom,
% 18.89/19.01 ~ 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) ).
% 18.89/19.01
% 18.89/19.01 cnf(cls_image__constant_0,axiom,
% 18.89/19.01 ( c_Set_Oimage(c_COMBK(V_c,T_b,T_a),V_A,T_a,T_b) = c_Set_Oinsert(V_c,c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_bool)),T_b)
% 18.89/19.01 | ~ c_in(V_x,V_A,T_a) ) ).
% 18.89/19.01
% 18.89/19.01 cnf(cls_analz__shrK__Decrypt_0,axiom,
% 18.89/19.01 ( c_in(V_X,c_Message_Oanalz(V_H),tc_Message_Omsg)
% 18.89/19.01 | ~ c_in(hAPP(c_Message_Omsg_OKey,hAPP(c_Public_OshrK,V_A)),c_Message_Oanalz(V_H),tc_Message_Omsg)
% 18.89/19.01 | ~ c_in(c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,V_A),V_X),c_Message_Oanalz(V_H),tc_Message_Omsg) ) ).
% 18.89/19.01
% 18.89/19.01 cnf(cls_usedI_0,axiom,
% 18.89/19.01 ( c_in(V_c,c_Event_Oused(V_evs),tc_Message_Omsg)
% 18.89/19.01 | ~ c_in(V_c,c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,V_evs)),tc_Message_Omsg) ) ).
% 18.89/19.01
% 18.89/19.01 cnf(cls_spies__pubK_0,axiom,
% 18.89/19.01 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) ).
% 18.89/19.01
% 18.89/19.01 cnf(cls_parts__singleton_1,axiom,
% 18.89/19.01 ( c_in(V_X,c_Message_Oparts(c_Set_Oinsert(c_Message_Osko__Message__Xparts__singleton__1__1(V_H,V_X),c_Orderings_Obot__class_Obot(tc_fun(tc_Message_Omsg,tc_bool)),tc_Message_Omsg)),tc_Message_Omsg)
% 18.89/19.01 | ~ c_in(V_X,c_Message_Oparts(V_H),tc_Message_Omsg) ) ).
% 18.89/19.01
% 18.89/19.01 cnf(cls_Spy__see__shrK_1,axiom,
% 18.89/19.01 ( 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)
% 18.89/19.01 | ~ c_in(V_A,c_Event_Obad,tc_Message_Oagent)
% 18.89/19.01 | ~ c_in(V_evs,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent)) ) ).
% 18.89/19.01
% 18.89/19.01 cnf(cls_Spy__see__shrK_0,axiom,
% 18.89/19.01 ( c_in(V_A,c_Event_Obad,tc_Message_Oagent)
% 18.89/19.01 | ~ 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)
% 18.89/19.01 | ~ c_in(V_evs,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent)) ) ).
% 18.89/19.01
% 18.89/19.01 cnf(cls_parts__insert__knows__A_0,axiom,
% 18.89/19.01 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)) ).
% 18.89/19.01
% 18.89/19.01 cnf(cls_parts__insert__spies_0,axiom,
% 18.89/19.01 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)) ).
% 18.89/19.01
% 18.89/19.01 cnf(cls_Key__not__used_0,axiom,
% 18.89/19.01 ( ~ 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)
% 18.89/19.01 | c_in(hAPP(c_Message_Omsg_OKey,V_K),c_Event_Oused(V_evs),tc_Message_Omsg) ) ).
% 18.89/19.01
% 18.89/19.01 cnf(cls_parts__insertI_0,axiom,
% 18.89/19.01 ( c_in(V_c,c_Message_Oparts(c_Set_Oinsert(V_a,V_G,tc_Message_Omsg)),tc_Message_Omsg)
% 18.89/19.01 | ~ c_in(V_c,c_Message_Oparts(V_G),tc_Message_Omsg) ) ).
% 18.89/19.01
% 18.89/19.01 cnf(cls_parts__insert__Key_0,axiom,
% 18.89/19.01 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) ).
% 18.89/19.01
% 18.89/19.01 cnf(cls_singleton__iff_1,axiom,
% 18.89/19.01 c_in(V_x,c_Set_Oinsert(V_x,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),T_a) ).
% 18.89/19.01
% 18.89/19.01 cnf(cls_image__is__empty_0,axiom,
% 18.89/19.01 ( c_Set_Oimage(V_f,V_A,T_b,T_a) != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))
% 18.89/19.01 | V_A = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_bool)) ) ).
% 18.89/19.01
% 18.89/19.01 cnf(cls_insert__iff_2,axiom,
% 18.89/19.01 ( c_in(V_a,c_Set_Oinsert(V_b,V_A,T_a),T_a)
% 18.89/19.01 | ~ c_in(V_a,V_A,T_a) ) ).
% 18.89/19.01
% 18.89/19.01 cnf(cls_insertCI_0,axiom,
% 18.89/19.01 ( c_in(V_a,c_Set_Oinsert(V_b,V_B,T_a),T_a)
% 18.89/19.01 | ~ c_in(V_a,V_B,T_a) ) ).
% 18.89/19.01
% 18.89/19.01 cnf(cls_parts_OInj_0,axiom,
% 18.89/19.01 ( c_in(V_X,c_Message_Oparts(V_H),tc_Message_Omsg)
% 18.89/19.01 | ~ c_in(V_X,V_H,tc_Message_Omsg) ) ).
% 18.89/19.01
% 18.89/19.01 cnf(cls_insert__code_1,axiom,
% 18.89/19.01 hBOOL(hAPP(c_Set_Oinsert(V_x,V_A,T_a),V_x)) ).
% 18.89/19.01
% 18.89/19.01 cnf(cls_image__insert_0,axiom,
% 18.89/19.01 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) ).
% 18.89/19.01
% 18.89/19.01 cnf(cls_ex__in__conv_0,axiom,
% 18.89/19.01 ~ c_in(V_x,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a) ).
% 18.89/19.01
% 18.89/19.01 cnf(cls_ball__empty_0,axiom,
% 18.89/19.01 ( hBOOL(hAPP(V_P,V_x))
% 18.89/19.01 | ~ c_in(V_x,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a) ) ).
% 18.89/19.01
% 18.89/19.01 cnf(cls_empty__iff_0,axiom,
% 18.89/19.01 ~ c_in(V_c,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a) ).
% 18.89/19.01
% 18.89/19.01 cnf(cls_emptyE_0,axiom,
% 18.89/19.01 ~ c_in(V_a,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a) ).
% 18.89/19.01
% 18.89/19.01 cnf(cls_empty__not__insert_0,axiom,
% 18.89/19.01 c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)) != c_Set_Oinsert(V_a,V_A,T_a) ).
% 18.89/19.01
% 18.89/19.01 cnf(cls_parts__cut__eq_0,axiom,
% 18.89/19.01 ( c_Message_Oparts(c_Set_Oinsert(V_X,V_H,tc_Message_Omsg)) = c_Message_Oparts(V_H)
% 18.89/19.01 | ~ c_in(V_X,c_Message_Oparts(V_H),tc_Message_Omsg) ) ).
% 18.89/19.01
% 18.89/19.01 cnf(cls_doubleton__eq__iff_3,axiom,
% 18.89/19.01 ( 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)
% 18.89/19.01 | V_b = V_c
% 18.89/19.01 | V_b = V_d ) ).
% 18.89/19.01
% 18.89/19.01 cnf(cls_doubleton__eq__iff_2,axiom,
% 18.89/19.01 ( 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)
% 18.89/19.01 | V_a = V_d
% 18.89/19.01 | V_b = V_d ) ).
% 18.89/19.01
% 18.89/19.01 cnf(cls_doubleton__eq__iff_1,axiom,
% 18.89/19.01 ( 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)
% 18.89/19.01 | V_b = V_c
% 18.89/19.01 | V_a = V_c ) ).
% 18.89/19.01
% 18.89/19.01 cnf(cls_doubleton__eq__iff_0,axiom,
% 18.89/19.01 ( 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)
% 18.89/19.01 | V_a = V_d
% 18.89/19.01 | V_a = V_c ) ).
% 18.89/19.01
% 18.89/19.01 cnf(cls_msg_Osimps_I43_J_0,axiom,
% 18.89/19.01 c_Message_Omsg_OCrypt(V_nat_H,V_msg_H) != hAPP(c_Message_Omsg_OKey,V_nat) ).
% 18.89/19.01
% 18.89/19.01 cnf(cls_parts__idem_0,axiom,
% 18.89/19.01 c_Message_Oparts(c_Message_Oparts(V_H)) = c_Message_Oparts(V_H) ).
% 18.89/19.01
% 18.89/19.01 cnf(cls_insertE_0,axiom,
% 18.89/19.01 ( c_in(V_a,V_A,T_a)
% 18.89/19.01 | V_a = V_b
% 18.89/19.01 | ~ c_in(V_a,c_Set_Oinsert(V_b,V_A,T_a),T_a) ) ).
% 18.89/19.01
% 18.89/19.01 cnf(cls_top1I_0,axiom,
% 18.89/19.01 hBOOL(hAPP(c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_bool)),V_x)) ).
% 18.89/19.01
% 18.89/19.01 cnf(cls_UNIV__not__empty_0,axiom,
% 18.89/19.01 c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_bool)) != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)) ).
% 18.89/19.01
% 18.89/19.01 cnf(cls_bot1E_0,axiom,
% 18.89/19.01 ~ hBOOL(hAPP(c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),V_x)) ).
% 18.89/19.01
% 18.89/19.01 cnf(cls_pushes_I6_J_0,axiom,
% 18.89/19.01 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) ).
% 18.89/19.01
% 18.89/19.01 cnf(cls_parts_OBody_0,axiom,
% 18.89/19.01 ( c_in(V_X,c_Message_Oparts(V_H),tc_Message_Omsg)
% 18.89/19.01 | ~ c_in(c_Message_Omsg_OCrypt(V_K,V_X),c_Message_Oparts(V_H),tc_Message_Omsg) ) ).
% 18.89/19.01
% 18.89/19.01 cnf(cls_UNIV__I_0,axiom,
% 18.89/19.01 c_in(V_x,c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_bool)),T_a) ).
% 18.89/19.01
% 18.89/19.01 cnf(cls_parts__partsD_0,axiom,
% 18.89/19.01 ( c_in(V_X,c_Message_Oparts(V_H),tc_Message_Omsg)
% 18.89/19.01 | ~ c_in(V_X,c_Message_Oparts(c_Message_Oparts(V_H)),tc_Message_Omsg) ) ).
% 18.89/19.01
% 18.89/19.01 cnf(cls_msg_Osimps_I4_J_0,axiom,
% 18.89/19.01 ( hAPP(c_Message_Omsg_OKey,V_nat) != hAPP(c_Message_Omsg_OKey,V_nat_H)
% 18.89/19.01 | V_nat = V_nat_H ) ).
% 18.89/19.01
% 18.89/19.01 cnf(cls_insert__code_0,axiom,
% 18.89/19.01 ( hBOOL(hAPP(V_A,V_x))
% 18.89/19.01 | V_y = V_x
% 18.89/19.01 | ~ hBOOL(hAPP(c_Set_Oinsert(V_y,V_A,T_a),V_x)) ) ).
% 18.89/19.01
% 18.89/19.01 cnf(cls_insert__absorb2_0,axiom,
% 18.89/19.01 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) ).
% 18.89/19.01
% 18.89/19.01 cnf(cls_insert__not__empty_0,axiom,
% 18.89/19.01 c_Set_Oinsert(V_a,V_A,T_a) != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)) ).
% 18.89/19.01
% 18.89/19.01 cnf(cls_empty__is__image_0,axiom,
% 18.89/19.01 ( c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)) != c_Set_Oimage(V_f,V_A,T_b,T_a)
% 18.89/19.01 | V_A = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_bool)) ) ).
% 18.89/19.01
% 18.89/19.01 cnf(cls_singletonE_0,axiom,
% 18.89/19.01 ( V_b = V_a
% 18.89/19.01 | ~ c_in(V_b,c_Set_Oinsert(V_a,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),T_a) ) ).
% 18.89/19.01
% 18.89/19.01 cnf(cls_parts__emptyE_0,axiom,
% 18.89/19.01 ~ c_in(V_X,c_Message_Oparts(c_Orderings_Obot__class_Obot(tc_fun(tc_Message_Omsg,tc_bool))),tc_Message_Omsg) ).
% 18.89/19.01
% 18.89/19.01 cnf(cls_shrK__in__knows_0,axiom,
% 18.89/19.01 c_in(hAPP(c_Message_Omsg_OKey,hAPP(c_Public_OshrK,V_A)),c_Event_Oknows(V_A,V_evs),tc_Message_Omsg) ).
% 18.89/19.01
% 18.89/19.01 cnf(cls_insert__iff_1,axiom,
% 18.89/19.01 c_in(V_x,c_Set_Oinsert(V_x,V_A,T_a),T_a) ).
% 18.89/19.01
% 18.89/19.01 cnf(cls_insertI1_0,axiom,
% 18.89/19.01 c_in(V_a,c_Set_Oinsert(V_a,V_B,T_a),T_a) ).
% 18.89/19.01
% 18.89/19.01 cnf(cls_insertCI_1,axiom,
% 18.89/19.01 c_in(V_x,c_Set_Oinsert(V_x,V_B,T_a),T_a) ).
% 18.89/19.01
% 18.89/19.01 cnf(cls_insert__commute_0,axiom,
% 18.89/19.01 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) ).
% 18.89/19.01
% 18.89/19.01 cnf(cls_mem__def_1,axiom,
% 18.89/19.01 ( c_in(V_x,V_S,T_a)
% 18.89/19.01 | ~ hBOOL(hAPP(V_S,V_x)) ) ).
% 18.89/19.01
% 18.89/19.01 cnf(cls_mem__def_0,axiom,
% 18.89/19.01 ( hBOOL(hAPP(V_S,V_x))
% 18.89/19.01 | ~ c_in(V_x,V_S,T_a) ) ).
% 18.89/19.01
% 18.89/19.01 cnf(cls_rangeI_0,axiom,
% 18.89/19.01 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) ).
% 18.89/19.01
% 18.89/19.01 cnf(cls_doubleton__eq__iff_4,axiom,
% 18.89/19.01 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) ).
% 18.89/19.01
% 18.89/19.01 cnf(cls_msg_Osimps_I7_J_0,axiom,
% 18.89/19.01 ( c_Message_Omsg_OCrypt(V_nat,V_msg) != c_Message_Omsg_OCrypt(V_nat_H,V_msg_H)
% 18.89/19.01 | V_nat = V_nat_H ) ).
% 18.89/19.01
% 18.89/19.01 cnf(cls_msg_Osimps_I7_J_1,axiom,
% 18.89/19.01 ( c_Message_Omsg_OCrypt(V_nat,V_msg) != c_Message_Omsg_OCrypt(V_nat_H,V_msg_H)
% 18.89/19.01 | V_msg = V_msg_H ) ).
% 18.89/19.01
% 18.89/19.01 cnf(cls_image__empty_0,axiom,
% 18.89/19.01 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)) ).
% 18.89/19.01
% 18.89/19.01 cnf(cls_singleton__inject_0,axiom,
% 18.89/19.01 ( 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)
% 18.89/19.01 | V_a = V_b ) ).
% 18.89/19.01
% 18.89/19.01 cnf(cls_parts__insert__Crypt_0,axiom,
% 18.89/19.01 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) ).
% 18.89/19.01
% 18.89/19.01 cnf(cls_bex__empty_0,axiom,
% 18.89/19.01 ( ~ hBOOL(hAPP(V_P,V_x))
% 18.89/19.01 | ~ c_in(V_x,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a) ) ).
% 18.89/19.01
% 18.89/19.01 cnf(cls_comm__monoid__add_Ononempty__iff_2,axiom,
% 18.89/19.01 ( c_Set_Oinsert(V_x,V_xa,T_a) != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))
% 18.89/19.01 | c_in(V_x,V_xa,T_a) ) ).
% 18.89/19.01
% 18.89/19.01 cnf(cls_insert__code_2,axiom,
% 18.89/19.01 ( hBOOL(hAPP(c_Set_Oinsert(V_y,V_A,T_a),V_x))
% 18.89/19.01 | ~ hBOOL(hAPP(V_A,V_x)) ) ).
% 18.89/19.01
% 18.89/19.01 cnf(cls_insert__image_0,axiom,
% 18.89/19.01 ( 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)
% 18.89/19.01 | ~ c_in(V_x,V_A,T_a) ) ).
% 18.89/19.01
% 18.89/19.01 cnf(cls_insert__ident_0,axiom,
% 18.89/19.01 ( c_Set_Oinsert(V_x,V_A,T_a) != c_Set_Oinsert(V_x,V_B,T_a)
% 18.89/19.01 | c_in(V_x,V_B,T_a)
% 18.89/19.01 | c_in(V_x,V_A,T_a)
% 18.89/19.01 | V_A = V_B ) ).
% 18.89/19.01
% 18.89/19.01 cnf(cls_parts__empty_0,axiom,
% 18.89/19.01 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)) ).
% 18.89/19.01
% 18.89/19.01 cnf(cls_insert__absorb_0,axiom,
% 18.89/19.01 ( c_Set_Oinsert(V_a,V_A,T_a) = V_A
% 18.89/19.01 | ~ c_in(V_a,V_A,T_a) ) ).
% 18.89/19.01
% 18.89/19.01 cnf(cls_empty__is__image_1,axiom,
% 18.89/19.01 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) ).
% 18.89/19.01
% 18.89/19.01 cnf(cls_analz__image__freshK__simps_I56_J_0,axiom,
% 18.89/19.01 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) ).
% 18.89/19.01
% 18.89/19.01 cnf(cls_msg_Osimps_I42_J_0,axiom,
% 18.89/19.01 hAPP(c_Message_Omsg_OKey,V_nat) != c_Message_Omsg_OCrypt(V_nat_H,V_msg_H) ).
% 18.89/19.01
% 18.89/19.01 cnf(cls_shrK__injective_0,axiom,
% 18.89/19.01 ( hAPP(c_Public_OshrK,V_x) != hAPP(c_Public_OshrK,V_y)
% 18.89/19.01 | V_x = V_y ) ).
% 18.89/19.01
% 18.89/19.01 cnf(cls_rev__image__eqI_0,axiom,
% 18.89/19.01 ( ~ c_in(V_x,V_A,T_aa)
% 18.89/19.01 | c_in(hAPP(V_f,V_x),c_Set_Oimage(V_f,V_A,T_aa,T_a),T_a) ) ).
% 18.89/19.01
% 18.89/19.01 cnf(cls_image__iff_2,axiom,
% 18.89/19.01 ( ~ c_in(V_x,V_A,T_b)
% 18.89/19.01 | c_in(hAPP(V_f,V_x),c_Set_Oimage(V_f,V_A,T_b,T_a),T_a) ) ).
% 18.89/19.01
% 18.89/19.01 cnf(cls_image__eqI_0,axiom,
% 18.89/19.01 ( c_in(hAPP(V_f,V_x),c_Set_Oimage(V_f,V_A,T_b,T_a),T_a)
% 18.89/19.01 | ~ c_in(V_x,V_A,T_b) ) ).
% 18.89/19.01
% 18.89/19.01 cnf(cls_imageI_0,axiom,
% 18.89/19.01 ( c_in(hAPP(V_f,V_x),c_Set_Oimage(V_f,V_A,T_a,T_b),T_b)
% 18.89/19.01 | ~ c_in(V_x,V_A,T_a) ) ).
% 18.89/19.01
% 18.89/19.01 cnf(cls_conjecture_0,negated_conjecture,
% 18.89/19.01 c_in(v_evs,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent)) ).
% 18.89/19.01
% 18.89/19.01 cnf(cls_conjecture_1,negated_conjecture,
% 18.89/19.01 ~ 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) ).
% 18.89/19.01
% 18.89/19.01 cnf(cls_conjecture_2,negated_conjecture,
% 18.89/19.01 c_in(c_Message_Omsg_OCrypt(v_KAB,v_X),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs)),tc_Message_Omsg) ).
% 18.89/19.01
% 18.89/19.01 cnf(cls_conjecture_3,negated_conjecture,
% 18.89/19.01 c_in(hAPP(c_Message_Omsg_OKey,v_K),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) ).
% 18.89/19.01
% 18.89/19.01 cnf(cls_conjecture_4,negated_conjecture,
% 18.89/19.01 ~ c_in(hAPP(c_Message_Omsg_OKey,v_K),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs)),tc_Message_Omsg) ).
% 18.89/19.01
% 18.89/19.01 cnf(clsarity_fun__Lattices_Oupper__semilattice,axiom,
% 18.89/19.01 ( class_Lattices_Oupper__semilattice(tc_fun(T_2,T_1))
% 18.89/19.01 | ~ class_Lattices_Olattice(T_1) ) ).
% 18.89/19.01
% 18.89/19.01 cnf(clsarity_fun__Lattices_Olower__semilattice,axiom,
% 18.89/19.01 ( class_Lattices_Olower__semilattice(tc_fun(T_2,T_1))
% 18.89/19.01 | ~ class_Lattices_Olattice(T_1) ) ).
% 18.89/19.01
% 18.89/19.01 cnf(clsarity_fun__Lattices_Odistrib__lattice,axiom,
% 18.89/19.01 ( class_Lattices_Odistrib__lattice(tc_fun(T_2,T_1))
% 18.89/19.01 | ~ class_Lattices_Odistrib__lattice(T_1) ) ).
% 18.89/19.01
% 18.89/19.01 cnf(clsarity_fun__Lattices_Obounded__lattice,axiom,
% 18.89/19.01 ( class_Lattices_Obounded__lattice(tc_fun(T_2,T_1))
% 18.89/19.01 | ~ class_Lattices_Obounded__lattice(T_1) ) ).
% 18.89/19.01
% 18.89/19.01 cnf(clsarity_fun__Orderings_Opreorder,axiom,
% 18.89/19.01 ( class_Orderings_Opreorder(tc_fun(T_2,T_1))
% 18.89/19.01 | ~ class_Orderings_Opreorder(T_1) ) ).
% 18.89/19.01
% 18.89/19.01 cnf(clsarity_fun__Lattices_Olattice,axiom,
% 18.89/19.01 ( class_Lattices_Olattice(tc_fun(T_2,T_1))
% 18.89/19.01 | ~ class_Lattices_Olattice(T_1) ) ).
% 18.89/19.01
% 18.89/19.01 cnf(clsarity_fun__Orderings_Oorder,axiom,
% 18.89/19.01 ( class_Orderings_Oorder(tc_fun(T_2,T_1))
% 18.89/19.01 | ~ class_Orderings_Oorder(T_1) ) ).
% 18.89/19.01
% 18.89/19.01 cnf(clsarity_fun__Orderings_Otop,axiom,
% 18.89/19.01 ( class_Orderings_Otop(tc_fun(T_2,T_1))
% 18.89/19.01 | ~ class_Orderings_Otop(T_1) ) ).
% 18.89/19.01
% 18.89/19.01 cnf(clsarity_fun__Orderings_Obot,axiom,
% 18.89/19.01 ( class_Orderings_Obot(tc_fun(T_2,T_1))
% 18.89/19.01 | ~ class_Orderings_Obot(T_1) ) ).
% 18.89/19.01
% 18.89/19.01 cnf(clsarity_fun__HOL_Oord,axiom,
% 18.89/19.01 ( class_HOL_Oord(tc_fun(T_2,T_1))
% 18.89/19.01 | ~ class_HOL_Oord(T_1) ) ).
% 18.89/19.01
% 18.89/19.01 cnf(clsarity_nat__Lattices_Oupper__semilattice,axiom,
% 18.89/19.01 class_Lattices_Oupper__semilattice(tc_nat) ).
% 18.89/19.01
% 18.89/19.01 cnf(clsarity_nat__Lattices_Olower__semilattice,axiom,
% 18.89/19.01 class_Lattices_Olower__semilattice(tc_nat) ).
% 18.89/19.01
% 18.89/19.01 cnf(clsarity_nat__Lattices_Odistrib__lattice,axiom,
% 18.89/19.01 class_Lattices_Odistrib__lattice(tc_nat) ).
% 18.89/19.01
% 18.89/19.01 cnf(clsarity_nat__Orderings_Opreorder,axiom,
% 18.89/19.01 class_Orderings_Opreorder(tc_nat) ).
% 18.89/19.01
% 18.89/19.01 cnf(clsarity_nat__Orderings_Olinorder,axiom,
% 18.89/19.01 class_Orderings_Olinorder(tc_nat) ).
% 18.89/19.01
% 18.89/19.01 cnf(clsarity_nat__Lattices_Olattice,axiom,
% 18.89/19.01 class_Lattices_Olattice(tc_nat) ).
% 18.89/19.01
% 18.89/19.01 cnf(clsarity_nat__Orderings_Oorder,axiom,
% 18.89/19.01 class_Orderings_Oorder(tc_nat) ).
% 18.89/19.01
% 18.89/19.01 cnf(clsarity_nat__Orderings_Obot,axiom,
% 18.89/19.01 class_Orderings_Obot(tc_nat) ).
% 18.89/19.01
% 18.89/19.01 cnf(clsarity_nat__HOL_Oord,axiom,
% 18.89/19.01 class_HOL_Oord(tc_nat) ).
% 18.89/19.01
% 18.89/19.01 cnf(clsarity_bool__Lattices_Oupper__semilattice,axiom,
% 18.89/19.01 class_Lattices_Oupper__semilattice(tc_bool) ).
% 18.89/19.01
% 18.89/19.01 cnf(clsarity_bool__Lattices_Olower__semilattice,axiom,
% 18.89/19.01 class_Lattices_Olower__semilattice(tc_bool) ).
% 18.89/19.01
% 18.89/19.01 cnf(clsarity_bool__Lattices_Odistrib__lattice,axiom,
% 18.89/19.01 class_Lattices_Odistrib__lattice(tc_bool) ).
% 18.89/19.01
% 18.89/19.01 cnf(clsarity_bool__Lattices_Obounded__lattice,axiom,
% 18.89/19.01 class_Lattices_Obounded__lattice(tc_bool) ).
% 18.89/19.01
% 18.89/19.01 cnf(clsarity_bool__Orderings_Opreorder,axiom,
% 18.89/19.01 class_Orderings_Opreorder(tc_bool) ).
% 18.89/19.01
% 18.89/19.01 cnf(clsarity_bool__Lattices_Olattice,axiom,
% 18.89/19.01 class_Lattices_Olattice(tc_bool) ).
% 18.89/19.01
% 18.89/19.01 cnf(clsarity_bool__Orderings_Oorder,axiom,
% 18.89/19.01 class_Orderings_Oorder(tc_bool) ).
% 18.89/19.01
% 18.89/19.01 cnf(clsarity_bool__Orderings_Otop,axiom,
% 18.89/19.01 class_Orderings_Otop(tc_bool) ).
% 18.89/19.01
% 18.89/19.01 cnf(clsarity_bool__Orderings_Obot,axiom,
% 18.89/19.01 class_Orderings_Obot(tc_bool) ).
% 18.89/19.01
% 18.89/19.01 cnf(clsarity_bool__HOL_Oord,axiom,
% 18.89/19.01 class_HOL_Oord(tc_bool) ).
% 18.89/19.01
% 18.89/19.01 cnf(cls_ATP__Linkup_Oequal__imp__fequal_0,axiom,
% 18.89/19.01 c_fequal(V_x,V_x,T_a) ).
% 18.89/19.01
% 18.89/19.01 cnf(cls_ATP__Linkup_Ofequal__imp__equal_0,axiom,
% 18.89/19.01 ( V_X = V_Y
% 18.89/19.01 | ~ c_fequal(V_X,V_Y,T_a) ) ).
% 18.89/19.01
% 18.89/19.01 %------------------------------------------------------------------------------
% 18.89/19.01 %-------------------------------------------
% 18.89/19.01 % Proof found
% 18.89/19.01 % SZS status Theorem for theBenchmark
% 18.89/19.01 % SZS output start Proof
% 18.89/19.02 %ClaNum:873(EqnAxiom:129)
% 18.89/19.02 %VarNum:4532(SingletonVarNum:1993)
% 18.89/19.02 %MaxLitNum:5
% 18.89/19.02 %MaxfuncDepth:9
% 18.89/19.02 %SharedTerms:63
% 18.89/19.02 %goalClause: 161 181 284 403 415
% 18.89/19.02 %singleGoalClaCount:5
% 18.89/19.02 [130]P1(a1)
% 18.89/19.02 [131]P1(a52)
% 18.89/19.02 [132]P2(a1)
% 18.89/19.02 [133]P2(a52)
% 18.89/19.02 [134]P3(a1)
% 18.89/19.02 [135]P3(a52)
% 18.89/19.02 [136]P11(a1)
% 18.89/19.02 [137]P11(a52)
% 18.89/19.02 [138]P12(a1)
% 18.89/19.02 [139]P12(a52)
% 18.89/19.02 [140]P17(a1)
% 18.89/19.02 [141]P17(a52)
% 18.89/19.02 [142]P4(a1)
% 18.89/19.02 [143]P4(a52)
% 18.89/19.02 [144]P10(a1)
% 18.89/19.02 [145]P13(a1)
% 18.89/19.02 [146]P13(a52)
% 18.89/19.02 [147]P18(a1)
% 18.89/19.02 [148]P16(a52)
% 18.89/19.02 [159]P7(a25,a4,a49)
% 18.89/19.02 [344]~E(a26,a25)
% 18.89/19.02 [377]~P7(a26,a4,a49)
% 18.89/19.02 [149]P5(f3(a2))
% 18.89/19.02 [161]P7(a54,a42,f50(a2))
% 18.89/19.02 [162]P7(f3(a2),a42,f50(a2))
% 18.89/19.02 [181]P7(f30(a55,a57),f27(f14(a25,a54)),a51)
% 18.89/19.02 [403]~P7(f45(a33,a56),f27(f14(a25,a54)),a51)
% 18.89/19.02 [165]E(f23(f41(f53(a51,a1))),f41(f53(a51,a1)))
% 18.89/19.02 [166]E(f27(f41(f53(a51,a1))),f41(f53(a51,a1)))
% 18.89/19.02 [415]~P7(a58,f47(a40,f43(f53(a49,a1)),a49,a52),a52)
% 18.89/19.02 [284]P7(f45(a33,a56),f27(f46(a57,f41(f53(a51,a1)),a51)),a51)
% 18.89/19.02 [167]P7(f45(a40,x1671),a36,a52)
% 18.89/19.02 [172]P9(x1721,f23(x1721),f53(a51,a1))
% 18.89/19.02 [173]P9(x1731,f35(x1731),f53(a51,a1))
% 18.89/19.02 [174]P9(x1741,f27(x1741),f53(a51,a1))
% 18.89/19.02 [175]P9(f23(x1751),f27(x1751),f53(a51,a1))
% 18.89/19.02 [150]E(f22(f22(x1501)),x1501)
% 18.89/19.02 [151]E(f23(f23(x1511)),f23(x1511))
% 18.89/19.02 [152]E(f23(f27(x1521)),f27(x1521))
% 18.89/19.02 [153]E(f35(f35(x1531)),f35(x1531))
% 18.89/19.02 [154]E(f27(f23(x1541)),f27(x1541))
% 18.89/19.02 [155]E(f27(f27(x1551)),f27(x1551))
% 18.89/19.02 [156]E(f22(f45(a40,x1561)),f45(a40,x1561))
% 18.89/19.02 [157]E(f24(f3(x1571),x1571),f41(f53(x1571,a1)))
% 18.89/19.02 [158]E(f41(f53(x1581,a1)),f24(f3(x1581),x1581))
% 18.89/19.02 [176]P9(f13(f3(a2)),f13(x1761),f53(a51,a1))
% 18.89/19.02 [177]E(f11(f23(x1771),f35(x1771),f53(a51,a1)),f23(f35(x1771)))
% 18.89/19.02 [178]E(f11(f27(x1781),f35(x1781),f53(a51,a1)),f27(f35(x1781)))
% 18.89/19.02 [195]P9(f27(f14(a25,x1951)),f13(x1951),f53(a51,a1))
% 18.89/19.02 [310]E(f23(f47(a33,x3101,a52,a51)),f47(a33,x3101,a52,a51))
% 18.89/19.02 [311]E(f27(f47(a33,x3111,a52,a51)),f47(a33,x3111,a52,a51))
% 18.89/19.02 [378]~E(f43(f53(x3781,a1)),f41(f53(x3781,a1)))
% 18.89/19.02 [390]~P7(f31(x3901),f13(f3(a2)),a51)
% 18.89/19.02 [408]~P7(x4081,f27(f41(f53(a51,a1))),a51)
% 18.89/19.02 [160]P8(x1601,x1601,x1602)
% 18.89/19.02 [164]P7(f28(x1641),f35(x1642),a51)
% 18.89/19.02 [169]P9(x1691,x1691,f53(x1692,a1))
% 18.89/19.02 [346]~E(f31(x3461),f28(x3462))
% 18.89/19.02 [349]~E(f32(x3491),f28(x3492))
% 18.89/19.02 [350]~E(f32(x3501),f31(x3502))
% 18.89/19.02 [351]~E(f28(x3511),f45(a33,x3512))
% 18.89/19.02 [352]~E(f31(x3521),f45(a33,x3522))
% 18.89/19.02 [353]~E(f32(x3531),f45(a33,x3532))
% 18.89/19.02 [354]~E(f45(a33,x3541),f28(x3542))
% 18.89/19.02 [355]~E(f45(a33,x3551),f31(x3552))
% 18.89/19.02 [356]~E(f45(a33,x3561),f32(x3562))
% 18.89/19.02 [409]~P7(f31(x4091),f47(a33,x4092,a52,a51),a51)
% 18.89/19.02 [410]~P7(f32(x4101),f47(a33,x4102,a52,a51),a51)
% 18.89/19.02 [170]E(f11(x1701,x1701,f53(x1702,a1)),x1701)
% 18.89/19.02 [171]E(f12(x1711,x1711,f53(x1712,a1)),x1711)
% 18.89/19.02 [179]E(f17(x1791,x1791,f53(x1792,a1)),f41(f53(x1792,a1)))
% 18.89/19.02 [180]P7(x1801,f43(f53(x1802,a1)),x1802)
% 18.89/19.02 [187]P7(f45(a33,f45(a40,x1871)),f13(x1872),a51)
% 18.89/19.02 [188]P9(x1881,f43(f53(x1882,a1)),f53(x1882,a1))
% 18.89/19.02 [189]P9(f41(f53(x1891,a1)),x1892,f53(x1891,a1))
% 18.89/19.02 [190]E(f11(x1901,f41(f53(x1902,a1)),f53(x1902,a1)),x1901)
% 18.89/19.02 [191]E(f12(x1911,f43(f53(x1912,a1)),f53(x1912,a1)),x1911)
% 18.89/19.02 [192]E(f17(x1921,f41(f53(x1922,a1)),f53(x1922,a1)),x1921)
% 18.89/19.02 [193]E(f11(f41(f53(x1931,a1)),x1932,f53(x1931,a1)),x1932)
% 18.89/19.02 [194]E(f12(f43(f53(x1941,a1)),x1942,f53(x1941,a1)),x1942)
% 18.89/19.02 [196]P9(f14(x1961,f3(a2)),f14(x1961,x1962),f53(a51,a1))
% 18.89/19.02 [198]P7(f45(a33,f45(a40,x1981)),f14(x1981,x1982),a51)
% 18.89/19.02 [202]E(f11(x2021,f43(f53(x2022,a1)),f53(x2022,a1)),f43(f53(x2022,a1)))
% 18.89/19.02 [203]E(f12(x2031,f41(f53(x2032,a1)),f53(x2032,a1)),f41(f53(x2032,a1)))
% 18.89/19.02 [204]E(f17(x2041,f43(f53(x2042,a1)),f53(x2042,a1)),f41(f53(x2042,a1)))
% 18.89/19.02 [205]E(f11(f43(f53(x2051,a1)),x2052,f53(x2051,a1)),f43(f53(x2051,a1)))
% 18.89/19.02 [206]E(f12(f41(f53(x2061,a1)),x2062,f53(x2061,a1)),f41(f53(x2061,a1)))
% 18.89/19.02 [207]E(f17(f41(f53(x2071,a1)),x2072,f53(x2071,a1)),f41(f53(x2071,a1)))
% 18.89/19.02 [264]P9(f46(x2641,f23(x2642),a51),f23(f46(x2641,x2642,a51)),f53(a51,a1))
% 18.89/19.02 [265]P9(f46(x2651,f35(x2652),a51),f35(f46(x2651,x2652,a51)),f53(a51,a1))
% 18.89/19.02 [266]P9(f46(x2661,f27(x2662),a51),f27(f46(x2661,x2662,a51)),f53(a51,a1))
% 18.89/19.02 [293]E(f11(f27(f46(x2931,f41(f53(a51,a1)),a51)),f27(x2932),f53(a51,a1)),f27(f46(x2931,x2932,a51)))
% 18.89/19.02 [398]~P7(f45(f44(x3981),x3982),a36,a52)
% 18.89/19.02 [399]~P7(f30(x3991,x3992),f13(f3(a2)),a51)
% 18.89/19.02 [402]~P7(x4021,f41(f53(x4022,a1)),x4022)
% 18.89/19.02 [183]E(f29(f46(f28(x1831),x1832,a51)),f29(x1832))
% 18.89/19.02 [184]E(f29(f46(f31(x1841),x1842,a51)),f29(x1842))
% 18.89/19.02 [185]E(f29(f46(f32(x1851),x1852,a51)),f29(x1852))
% 18.89/19.02 [197]P19(f45(f43(f53(x1971,a1)),x1972))
% 18.89/19.02 [208]E(f29(f46(f45(a33,x2081),x2082,a51)),f29(x2082))
% 18.89/19.02 [218]E(f23(f46(f28(x2181),x2182,a51)),f46(f28(x2181),f23(x2182),a51))
% 18.89/19.02 [219]E(f23(f46(f31(x2191),x2192,a51)),f46(f31(x2191),f23(x2192),a51))
% 18.89/19.02 [220]E(f23(f46(f32(x2201),x2202,a51)),f46(f32(x2201),f23(x2202),a51))
% 18.89/19.02 [221]E(f27(f46(f28(x2211),x2212,a51)),f46(f28(x2211),f27(x2212),a51))
% 18.89/19.02 [222]E(f27(f46(f31(x2221),x2222,a51)),f46(f31(x2221),f27(x2222),a51))
% 18.89/19.02 [223]E(f27(f46(f32(x2231),x2232,a51)),f46(f32(x2231),f27(x2232),a51))
% 18.89/19.02 [234]E(f27(f46(f45(a33,x2341),x2342,a51)),f46(f45(a33,x2341),f27(x2342),a51))
% 18.89/19.02 [235]E(f11(f27(x2351),f27(x2352),f53(a51,a1)),f27(f11(x2351,x2352,f53(a51,a1))))
% 18.89/19.02 [248]E(f23(f11(f23(x2481),x2482,f53(a51,a1))),f23(f11(x2481,x2482,f53(a51,a1))))
% 18.89/19.02 [288]E(f11(f23(f11(x2881,x2882,f53(a51,a1))),f35(x2881),f53(a51,a1)),f23(f11(f35(x2881),x2882,f53(a51,a1))))
% 18.89/19.02 [289]P9(f27(f11(x2891,x2892,f53(a51,a1))),f11(f27(x2891),f27(x2892),f53(a51,a1)),f53(a51,a1))
% 18.89/19.02 [290]P9(f11(f23(x2901),f23(x2902),f53(a51,a1)),f23(f11(x2901,x2902,f53(a51,a1))),f53(a51,a1))
% 18.89/19.02 [291]P9(f11(f35(x2911),f35(x2912),f53(a51,a1)),f35(f11(x2911,x2912,f53(a51,a1))),f53(a51,a1))
% 18.89/19.02 [292]P9(f11(f27(x2921),f27(x2922),f53(a51,a1)),f27(f11(x2921,x2922,f53(a51,a1))),f53(a51,a1))
% 18.89/19.02 [404]~P7(f31(x4041),f27(f14(x4042,f3(a2))),a51)
% 18.89/19.02 [405]~P19(f45(f41(f53(x4051,a1)),x4052))
% 18.89/19.02 [406]~P7(f22(f45(f44(x4061),x4062)),a36,a52)
% 18.89/19.02 [241]P7(f45(a33,f22(f45(f44(x2411),x2412))),f14(x2412,f3(a2)),a51)
% 18.89/19.02 [212]P7(x2121,f46(x2121,x2122,x2123),x2123)
% 18.89/19.02 [216]P9(x2161,f46(x2162,x2161,x2163),f53(x2163,a1))
% 18.89/19.02 [357]~E(f28(x3571),f34(x3572,x3573))
% 18.89/19.02 [358]~E(f28(x3581),f30(x3582,x3583))
% 18.89/19.02 [359]~E(f31(x3591),f34(x3592,x3593))
% 18.89/19.02 [360]~E(f31(x3601),f30(x3602,x3603))
% 18.89/19.02 [361]~E(f32(x3611),f34(x3612,x3613))
% 18.89/19.02 [362]~E(f32(x3621),f30(x3622,x3623))
% 18.89/19.02 [363]~E(f34(x3631,x3632),f28(x3633))
% 18.89/19.02 [364]~E(f34(x3641,x3642),f31(x3643))
% 18.89/19.02 [365]~E(f34(x3651,x3652),f32(x3653))
% 18.89/19.02 [366]~E(f30(x3661,x3662),f28(x3663))
% 18.89/19.02 [367]~E(f30(x3671,x3672),f31(x3673))
% 18.89/19.02 [368]~E(f30(x3681,x3682),f32(x3683))
% 18.89/19.02 [369]~E(f34(x3691,x3692),f45(a33,x3693))
% 18.89/19.02 [370]~E(f30(x3701,x3702),f45(a33,x3703))
% 18.89/19.02 [371]~E(f45(a33,x3711),f34(x3712,x3713))
% 18.89/19.02 [372]~E(f45(a33,x3721),f30(x3722,x3723))
% 18.89/19.02 [382]~E(f21(x3821,x3822,x3823),x3822)
% 18.89/19.02 [385]~E(f21(x3851,x3852,x3853),f3(x3853))
% 18.89/19.02 [411]~P7(f30(x4111,x4112),f47(a33,x4113,a52,a51),a51)
% 18.89/19.02 [200]E(f11(x2001,x2002,f53(x2003,a1)),f11(x2002,x2001,f53(x2003,a1)))
% 18.89/19.02 [201]E(f12(x2011,x2012,f53(x2013,a1)),f12(x2012,x2011,f53(x2013,a1)))
% 18.89/19.02 [224]E(f46(x2241,f24(x2242,x2243),x2243),f24(f21(x2241,x2242,x2243),x2243))
% 18.89/19.02 [227]E(f46(x2271,f46(x2271,x2272,x2273),x2273),f46(x2271,x2272,x2273))
% 18.89/19.02 [229]P9(x2291,f11(x2292,x2291,f53(x2293,a1)),f53(x2293,a1))
% 18.89/19.02 [230]P9(x2301,f11(x2301,x2302,f53(x2303,a1)),f53(x2303,a1))
% 18.89/19.02 [231]P9(f12(x2311,x2312,f53(x2313,a1)),x2312,f53(x2313,a1))
% 18.89/19.02 [232]P9(f12(x2321,x2322,f53(x2323,a1)),x2321,f53(x2323,a1))
% 18.89/19.02 [233]P9(f17(x2331,x2332,f53(x2333,a1)),x2331,f53(x2333,a1))
% 18.89/19.02 [236]P19(f45(f46(x2361,x2362,x2363),x2361))
% 18.89/19.02 [239]E(f12(x2391,f17(x2392,x2391,f53(x2393,a1)),f53(x2393,a1)),f41(f53(x2393,a1)))
% 18.89/19.02 [242]P6(x2421,f41(f53(x2422,a1)),x2422,x2423)
% 18.89/19.02 [243]E(f11(x2431,f11(x2431,x2432,f53(x2433,a1)),f53(x2433,a1)),f11(x2431,x2432,f53(x2433,a1)))
% 18.89/19.02 [244]E(f11(x2441,f17(x2442,x2441,f53(x2443,a1)),f53(x2443,a1)),f11(x2441,x2442,f53(x2443,a1)))
% 18.89/19.02 [245]E(f12(x2451,f12(x2451,x2452,f53(x2453,a1)),f53(x2453,a1)),f12(x2451,x2452,f53(x2453,a1)))
% 18.89/19.02 [246]E(f11(f17(x2461,x2462,f53(x2463,a1)),x2462,f53(x2463,a1)),f11(x2461,x2462,f53(x2463,a1)))
% 18.89/19.02 [247]E(f17(f17(x2471,x2472,f53(x2473,a1)),x2472,f53(x2473,a1)),f17(x2471,x2472,f53(x2473,a1)))
% 18.89/19.02 [254]P9(f14(x2541,x2542),f14(x2541,f21(x2543,x2542,a2)),f53(a51,a1))
% 18.89/19.02 [255]E(f11(f46(x2551,f41(f53(x2552,a1)),x2552),x2553,f53(x2552,a1)),f46(x2551,x2553,x2552))
% 18.89/19.02 [256]P9(f24(x2561,x2562),f24(f21(x2563,x2561,x2562),x2562),f53(x2562,a1))
% 18.89/19.02 [257]E(f11(f17(x2571,x2572,f53(x2573,a1)),f12(x2571,x2572,f53(x2573,a1)),f53(x2573,a1)),x2571)
% 18.89/19.02 [375]~E(f45(a40,x3751),f45(f44(x3752),x3753))
% 18.89/19.02 [376]~E(f45(f44(x3761),x3762),f45(a40,x3763))
% 18.89/19.02 [394]~E(f46(x3941,x3942,x3943),f41(f53(x3943,a1)))
% 18.89/19.02 [395]~E(f41(f53(x3951,a1)),f46(x3952,x3953,x3951))
% 18.89/19.02 [412]~P7(f45(a40,x4121),f47(f44(x4122),x4123,a49,a52),a52)
% 18.89/19.02 [413]~P7(f45(f44(x4131),x4132),f47(a40,x4133,a49,a52),a52)
% 18.89/19.02 [209]P7(f45(a33,f45(f44(x2091),x2092)),f13(x2093),a51)
% 18.89/19.02 [213]E(f29(f46(f34(x2131,x2132),x2133,a51)),f29(x2133))
% 18.89/19.02 [214]P7(f45(a33,f45(f44(x2141),x2142)),f14(a25,x2143),a51)
% 18.89/19.02 [217]P7(f45(a33,f45(f44(x2171),x2172)),f14(x2173,f3(a2)),a51)
% 18.89/19.02 [225]P7(f45(a33,f45(f44(x2251),x2252)),f23(f14(a25,x2253)),a51)
% 18.89/19.02 [228]E(f29(f46(f30(x2281,x2282),x2283,a51)),f46(f22(x2281),f29(x2283),a52))
% 18.89/19.02 [238]E(f14(x2381,f21(f15(x2381,x2382),x2383,a2)),f46(x2382,f14(x2381,x2383),a51))
% 18.89/19.02 [251]E(f47(x2511,f41(f53(x2512,a1)),x2512,x2513),f41(f53(x2513,a1)))
% 18.89/19.02 [252]E(f48(x2521,f41(f53(x2522,a1)),x2523,x2522),f41(f53(x2523,a1)))
% 18.89/19.02 [253]E(f48(x2531,f43(f53(x2532,a1)),x2533,x2532),f43(f53(x2533,a1)))
% 18.89/19.02 [275]E(f46(f30(x2751,x2752),f27(f46(x2752,x2753,a51)),a51),f27(f46(f30(x2751,x2752),x2753,a51)))
% 18.89/19.02 [305]E(f13(f21(f15(x3051,x3052),x3053,a2)),f11(f27(f46(x3052,f41(f53(a51,a1)),a51)),f13(x3053),f53(a51,a1)))
% 18.89/19.02 [308]E(f46(x3081,f17(x3082,f46(x3081,f41(f53(x3083,a1)),x3083),f53(x3083,a1)),x3083),f46(x3081,x3082,x3083))
% 18.89/19.02 [320]P9(f23(f46(f30(x3201,x3202),x3203,a51)),f46(f30(x3201,x3202),f23(f46(x3202,x3203,a51)),a51),f53(a51,a1))
% 18.89/19.02 [335]E(f46(f45(a33,x3351),f11(f47(a33,x3352,a52,a51),x3353,f53(a51,a1)),a51),f11(f47(a33,f46(x3351,x3352,a52),a52,a51),x3353,f53(a51,a1)))
% 18.89/19.02 [337]E(f11(f11(f27(f46(x3371,f41(f53(a51,a1)),a51)),f27(f46(x3372,f41(f53(a51,a1)),a51)),f53(a51,a1)),f27(x3373),f53(a51,a1)),f27(f46(x3371,f46(x3372,x3373,a51),a51)))
% 18.89/19.02 [379]~E(f45(a40,x3791),f22(f45(f44(x3792),x3793)))
% 18.89/19.02 [380]~E(f22(f45(f44(x3801),x3802)),f45(a40,x3803))
% 18.89/19.02 [407]~P7(f30(x4071,x4072),f27(f14(x4073,f3(a2))),a51)
% 18.89/19.02 [414]~P7(f22(f45(f44(x4141),x4142)),f47(a40,x4143,a49,a52),a52)
% 18.89/19.02 [237]P7(f45(a33,f22(f45(f44(x2371),x2372))),f13(x2373),a51)
% 18.89/19.02 [316]E(f46(f34(x3161,x3162),f23(f46(x3161,f46(x3162,x3163,a51),a51)),a51),f23(f46(f34(x3161,x3162),x3163,a51)))
% 18.89/19.02 [317]E(f46(f34(x3171,x3172),f27(f46(x3171,f46(x3172,x3173,a51),a51)),a51),f27(f46(f34(x3171,x3172),x3173,a51)))
% 18.89/19.02 [325]E(f46(f34(f32(f34(x3251,x3252)),x3252),f46(f32(f34(x3251,x3252)),f23(f46(x3252,x3253,a51)),a51),a51),f23(f46(f34(f32(f34(x3251,x3252)),x3252),x3253,a51)))
% 18.89/19.02 [326]E(f46(f34(f32(f34(x3261,x3262)),x3262),f46(f32(f34(x3261,x3262)),f27(f46(x3262,x3263,a51)),a51),a51),f27(f46(f34(f32(f34(x3261,x3262)),x3262),x3263,a51)))
% 18.89/19.02 [374]~E(f30(x3741,x3742),f34(x3743,x3744))
% 18.89/19.02 [182]E(f45(f5(x1821,x1822,x1823),x1824),x1821)
% 18.89/19.02 [249]E(f46(x2491,f46(x2492,x2493,x2494),x2494),f46(x2492,f46(x2491,x2493,x2494),x2494))
% 18.89/19.02 [276]E(f11(x2761,f11(x2762,x2763,f53(x2764,a1)),f53(x2764,a1)),f11(x2762,f11(x2761,x2763,f53(x2764,a1)),f53(x2764,a1)))
% 18.89/19.02 [277]E(f12(x2771,f12(x2772,x2773,f53(x2774,a1)),f53(x2774,a1)),f12(x2772,f12(x2771,x2773,f53(x2774,a1)),f53(x2774,a1)))
% 18.89/19.02 [279]E(f11(f11(x2791,x2792,f53(x2793,a1)),x2794,f53(x2793,a1)),f11(x2791,f11(x2792,x2794,f53(x2793,a1)),f53(x2793,a1)))
% 18.89/19.02 [280]E(f12(f12(x2801,x2802,f53(x2803,a1)),x2804,f53(x2803,a1)),f12(x2801,f12(x2802,x2804,f53(x2803,a1)),f53(x2803,a1)))
% 18.89/19.02 [281]E(f17(f12(x2811,x2812,f53(x2813,a1)),x2814,f53(x2813,a1)),f12(x2811,f17(x2812,x2814,f53(x2813,a1)),f53(x2813,a1)))
% 18.89/19.02 [294]E(f12(f11(x2941,x2942,f53(x2943,a1)),f11(x2941,x2944,f53(x2943,a1)),f53(x2943,a1)),f11(x2941,f12(x2942,x2944,f53(x2943,a1)),f53(x2943,a1)))
% 18.89/19.02 [295]E(f11(f12(x2951,x2952,f53(x2953,a1)),f12(x2951,x2954,f53(x2953,a1)),f53(x2953,a1)),f12(x2951,f11(x2952,x2954,f53(x2953,a1)),f53(x2953,a1)))
% 18.89/19.02 [296]E(f17(f12(x2961,x2962,f53(x2963,a1)),f12(x2961,x2964,f53(x2963,a1)),f53(x2963,a1)),f12(x2961,f17(x2962,x2964,f53(x2963,a1)),f53(x2963,a1)))
% 18.89/19.02 [297]E(f12(f17(x2971,x2972,f53(x2973,a1)),f17(x2971,x2974,f53(x2973,a1)),f53(x2973,a1)),f17(x2971,f11(x2972,x2974,f53(x2973,a1)),f53(x2973,a1)))
% 18.89/19.02 [298]E(f11(f17(x2981,x2982,f53(x2983,a1)),f17(x2981,x2984,f53(x2983,a1)),f53(x2983,a1)),f17(x2981,f12(x2982,x2984,f53(x2983,a1)),f53(x2983,a1)))
% 18.89/19.02 [299]E(f12(f11(x2991,x2992,f53(x2993,a1)),f11(x2994,x2992,f53(x2993,a1)),f53(x2993,a1)),f11(f12(x2991,x2994,f53(x2993,a1)),x2992,f53(x2993,a1)))
% 18.89/19.02 [300]E(f11(f12(x3001,x3002,f53(x3003,a1)),f12(x3004,x3002,f53(x3003,a1)),f53(x3003,a1)),f12(f11(x3001,x3004,f53(x3003,a1)),x3002,f53(x3003,a1)))
% 18.89/19.02 [301]E(f17(f12(x3011,x3012,f53(x3013,a1)),f12(x3014,x3012,f53(x3013,a1)),f53(x3013,a1)),f12(f17(x3011,x3014,f53(x3013,a1)),x3012,f53(x3013,a1)))
% 18.89/19.02 [302]E(f11(f17(x3021,x3022,f53(x3023,a1)),f17(x3024,x3022,f53(x3023,a1)),f53(x3023,a1)),f17(f11(x3021,x3024,f53(x3023,a1)),x3022,f53(x3023,a1)))
% 18.89/19.02 [303]E(f17(f12(x3031,x3032,f53(x3033,a1)),f12(x3034,x3032,f53(x3033,a1)),f53(x3033,a1)),f17(f12(x3031,x3032,f53(x3033,a1)),x3034,f53(x3033,a1)))
% 18.89/19.02 [304]E(f17(f17(x3041,x3042,f53(x3043,a1)),f46(x3044,f41(f53(x3043,a1)),x3043),f53(x3043,a1)),f17(x3041,f46(x3044,x3042,x3043),f53(x3043,a1)))
% 18.89/19.02 [315]E(f17(f17(x3151,f46(x3152,f41(f53(x3153,a1)),x3153),f53(x3153,a1)),x3154,f53(x3153,a1)),f17(x3151,f46(x3152,x3154,x3153),f53(x3153,a1)))
% 18.89/19.02 [324]E(f18(x3241,x3242,f45(x3241,x3242),x3243,x3244),x3241)
% 18.89/19.02 [327]E(f47(x3271,f48(x3271,x3272,x3273,x3274),x3273,x3274),f12(x3272,f47(x3271,f43(f53(x3273,a1)),x3273,x3274),f53(x3274,a1)))
% 18.89/19.02 [333]P9(f47(x3331,f48(x3331,x3332,x3333,x3334),x3333,x3334),x3332,f53(x3334,a1))
% 18.89/19.02 [336]E(f12(f12(f11(x3361,x3362,f53(x3363,a1)),f11(x3362,x3364,f53(x3363,a1)),f53(x3363,a1)),f11(x3364,x3361,f53(x3363,a1)),f53(x3363,a1)),f11(f11(f12(x3361,x3362,f53(x3363,a1)),f12(x3362,x3364,f53(x3363,a1)),f53(x3363,a1)),f12(x3364,x3361,f53(x3363,a1)),f53(x3363,a1)))
% 18.89/19.02 [258]E(f46(x2581,f11(x2582,x2583,f53(x2584,a1)),x2584),f11(x2582,f46(x2581,x2583,x2584),f53(x2584,a1)))
% 18.89/19.02 [259]E(f46(x2591,f11(x2592,x2593,f53(x2594,a1)),x2594),f11(f46(x2591,x2592,x2594),x2593,f53(x2594,a1)))
% 18.89/19.02 [267]E(f14(a25,f21(f16(x2671,x2672,x2673),x2674,a2)),f46(x2673,f14(a25,x2674),a51))
% 18.89/19.02 [271]E(f14(x2711,f21(f16(x2711,x2712,x2713),x2714,a2)),f46(x2713,f14(x2711,x2714),a51))
% 18.89/19.02 [286]E(f12(f46(x2861,x2862,x2863),f46(x2861,x2864,x2863),f53(x2863,a1)),f46(x2861,f12(x2862,x2864,f53(x2863,a1)),x2863))
% 18.89/19.02 [307]P7(f45(x3071,x3072),f47(x3071,f43(f53(x3073,a1)),x3073,x3074),x3074)
% 18.89/19.02 [314]E(f13(f21(f16(x3141,x3142,x3143),x3144,a2)),f11(f27(f46(x3143,f41(f53(a51,a1)),a51)),f13(x3144),f53(a51,a1)))
% 18.89/19.02 [386]~E(f45(f44(x3861),x3862),f22(f45(f44(x3863),x3864)))
% 18.89/19.02 [387]~E(f22(f45(f44(x3871),x3872)),f45(f44(x3873),x3874))
% 18.89/19.02 [397]~E(f34(f32(f34(x3971,x3972)),x3972),f30(x3973,x3974))
% 18.89/19.02 [416]~P7(f22(f45(f44(x4161),x4162)),f47(f44(x4163),x4164,a49,a52),a52)
% 18.89/19.02 [321]P7(x3211,f48(x3212,f46(f45(x3212,x3211),f41(f53(x3213,a1)),x3213),x3214,x3213),x3214)
% 18.89/19.02 [388]~E(f15(x3881,x3882),f16(x3883,x3884,x3885))
% 18.89/19.02 [389]~E(f16(x3891,x3892,x3893),f15(x3894,x3895))
% 18.89/19.02 [318]E(f47(x3181,f46(x3182,x3183,x3184),x3184,x3185),f46(f45(x3181,x3182),f47(x3181,x3183,x3184,x3185),x3185))
% 18.89/19.02 [319]E(f46(f45(x3191,x3192),f47(x3191,x3193,x3194,x3195),x3195),f47(x3191,f46(x3192,x3193,x3194),x3194,x3195))
% 18.89/19.02 [334]E(f11(f48(x3341,f46(x3342,f41(f53(x3343,a1)),x3343),x3344,x3343),f48(x3341,x3345,x3344,x3343),f53(x3344,a1)),f48(x3341,f46(x3342,x3345,x3343),x3344,x3343))
% 18.89/19.02 [339]E(f45(f18(x3391,x3392,x3393,x3394,x3395),x3392),x3393)
% 18.89/19.02 [329]E(f11(f48(x3291,x3292,x3293,x3294),f48(x3291,x3295,x3293,x3294),f53(x3293,a1)),f48(x3291,f11(x3292,x3295,f53(x3294,a1)),x3293,x3294))
% 18.89/19.02 [330]E(f12(f48(x3301,x3302,x3303,x3304),f48(x3301,x3305,x3303,x3304),f53(x3303,a1)),f48(x3301,f12(x3302,x3305,f53(x3304,a1)),x3303,x3304))
% 18.89/19.02 [331]E(f17(f48(x3311,x3312,x3313,x3314),f48(x3311,x3315,x3313,x3314),f53(x3313,a1)),f48(x3311,f17(x3312,x3315,f53(x3314,a1)),x3313,x3314))
% 18.89/19.02 [332]E(f11(f47(x3321,x3322,x3323,x3324),f47(x3321,x3325,x3323,x3324),f53(x3324,a1)),f47(x3321,f11(x3322,x3325,f53(x3323,a1)),x3323,x3324))
% 18.89/19.02 [340]P9(f47(x3401,f12(x3402,x3403,f53(x3404,a1)),x3404,x3405),f12(f47(x3401,x3402,x3404,x3405),f47(x3401,x3403,x3404,x3405),f53(x3405,a1)),f53(x3405,a1))
% 18.89/19.02 [341]P9(f17(f47(x3411,x3412,x3413,x3414),f47(x3411,x3415,x3413,x3414),f53(x3414,a1)),f47(x3411,f17(x3412,x3415,f53(x3413,a1)),x3413,x3414),f53(x3414,a1))
% 18.89/19.02 [342]E(f18(f18(x3421,x3422,x3423,x3424,x3425),x3422,x3426,x3424,x3425),f18(x3421,x3422,x3426,x3424,x3425))
% 18.89/19.02 [457]E(f22(x4571),x4571)+~P7(x4571,a36,a52)
% 18.89/19.02 [472]~P7(x4721,a36,a52)+P7(f22(x4721),a36,a52)
% 18.89/19.02 [474]P7(x4741,a36,a52)+~P7(f22(x4741),a36,a52)
% 18.89/19.02 [439]~P12(x4392)+P9(x4391,x4391,x4392)
% 18.89/19.02 [440]~P17(x4402)+P9(x4401,x4401,x4402)
% 18.89/19.02 [417]E(x4171,x4172)+~E(f28(x4171),f28(x4172))
% 18.89/19.02 [418]E(x4181,x4182)+~E(f31(x4181),f31(x4182))
% 18.89/19.02 [419]E(x4191,x4192)+~E(f22(x4191),f22(x4192))
% 18.89/19.02 [420]E(x4201,x4202)+~E(f32(x4201),f32(x4202))
% 18.89/19.02 [421]~P2(x4212)+P1(f53(x4211,x4212))
% 18.89/19.02 [422]~P2(x4222)+P2(f53(x4221,x4222))
% 18.89/19.02 [423]~P3(x4232)+P3(f53(x4231,x4232))
% 18.89/19.02 [424]~P2(x4242)+P11(f53(x4241,x4242))
% 18.89/19.02 [425]~P12(x4252)+P12(f53(x4251,x4252))
% 18.89/19.02 [426]~P17(x4262)+P17(f53(x4261,x4262))
% 18.89/19.02 [427]~P4(x4272)+P4(f53(x4271,x4272))
% 18.89/19.02 [428]~P10(x4282)+P10(f53(x4281,x4282))
% 18.89/19.02 [429]~P13(x4292)+P13(f53(x4291,x4292))
% 18.89/19.02 [430]~P18(x4302)+P18(f53(x4301,x4302))
% 18.89/19.02 [431]E(x4311,x4312)+~E(f45(a33,x4311),f45(a33,x4312))
% 18.89/19.02 [432]E(x4321,x4322)+~E(f45(a40,x4321),f45(a40,x4322))
% 18.89/19.02 [441]~P11(x4412)+E(f11(x4411,x4411,x4412),x4411)
% 18.89/19.02 [442]~P1(x4422)+E(f12(x4421,x4421,x4422),x4421)
% 18.89/19.02 [445]~P18(x4452)+P9(x4451,f43(x4452),x4452)
% 18.89/19.02 [446]~P13(x4461)+P9(f41(x4461),x4462,x4461)
% 18.89/19.02 [475]~P7(x4751,x4752,a51)+P7(x4751,f23(x4752),a51)
% 18.89/19.02 [476]~P7(x4761,x4762,a51)+P7(x4761,f35(x4762),a51)
% 18.89/19.02 [477]~P7(x4771,x4772,a51)+P7(x4771,f27(x4772),a51)
% 18.89/19.02 [486]~P7(x4861,f23(x4862),a51)+P7(x4861,f27(x4862),a51)
% 18.89/19.02 [487]P7(f32(x4871),f35(x4872),a51)+~P7(x4871,f35(x4872),a51)
% 18.89/19.02 [490]~P7(f31(x4901),f35(x4902),a51)+P7(f31(x4901),x4902,a51)
% 18.89/19.02 [506]~P7(x5062,f27(x5061),a51)+P7(f37(x5061,x5062),x5061,a51)
% 18.89/19.02 [537]~P9(x5371,x5372,f53(a51,a1))+P9(f23(x5371),f23(x5372),f53(a51,a1))
% 18.89/19.02 [538]~P9(x5381,x5382,f53(a51,a1))+P9(f35(x5381),f35(x5382),f53(a51,a1))
% 18.89/19.02 [539]~P9(x5391,x5392,f53(a51,a1))+P9(f27(x5391),f27(x5392),f53(a51,a1))
% 18.89/19.02 [542]~P7(f45(a33,x5421),f35(x5422),a51)+P7(f45(a33,x5421),x5422,a51)
% 18.89/19.02 [543]P9(f23(x5431),f23(x5432),f53(a51,a1))+~P9(x5431,f23(x5432),f53(a51,a1))
% 18.89/19.02 [544]P9(f35(x5441),f35(x5442),f53(a51,a1))+~P9(x5441,f35(x5442),f53(a51,a1))
% 18.89/19.02 [545]P9(f27(x5451),f27(x5452),f53(a51,a1))+~P9(x5451,f27(x5452),f53(a51,a1))
% 18.89/19.02 [547]P9(x5471,f23(x5472),f53(a51,a1))+~P9(f23(x5471),f23(x5472),f53(a51,a1))
% 18.89/19.02 [548]P9(x5481,f35(x5482),f53(a51,a1))+~P9(f35(x5481),f35(x5482),f53(a51,a1))
% 18.89/19.02 [549]P9(x5491,f27(x5492),f53(a51,a1))+~P9(f27(x5491),f27(x5492),f53(a51,a1))
% 18.89/19.02 [772]P7(x7721,x7722,a49)+~P7(f45(a40,x7721),f47(a40,x7722,a49,a52),a52)
% 18.89/19.02 [773]P7(x7731,x7732,a52)+~P7(f45(a33,x7731),f47(a33,x7732,a52,a51),a51)
% 18.89/19.02 [447]~P10(x4472)+E(f11(x4471,f41(x4472),x4472),x4471)
% 18.89/19.02 [448]~P10(x4482)+E(f12(x4481,f43(x4482),x4482),x4481)
% 18.89/19.02 [449]~P10(x4491)+E(f11(f41(x4491),x4492,x4491),x4492)
% 18.89/19.02 [450]~P10(x4501)+E(f12(f43(x4501),x4502,x4501),x4502)
% 18.89/19.02 [451]E(x4511,f3(x4512))+~E(f24(x4511,x4512),f41(f53(x4512,a1)))
% 18.89/19.02 [452]E(x4521,f3(x4522))+~E(f41(f53(x4522,a1)),f24(x4521,x4522))
% 18.89/19.02 [453]~P10(x4532)+E(f11(x4531,f43(x4532),x4532),f43(x4532))
% 18.89/19.02 [454]~P10(x4542)+E(f12(x4541,f41(x4542),x4542),f41(x4542))
% 18.89/19.02 [455]~P10(x4551)+E(f11(f43(x4551),x4552,x4551),f43(x4551))
% 18.89/19.02 [456]~P10(x4561)+E(f12(f41(x4561),x4562,x4561),f41(x4561))
% 18.89/19.02 [503]P7(x5031,f23(x5032),a51)+~P7(x5031,f23(f23(x5032)),a51)
% 18.89/19.02 [504]P7(x5041,f35(x5042),a51)+~P7(x5041,f35(f35(x5042)),a51)
% 18.89/19.02 [505]P7(x5051,f27(x5052),a51)+~P7(x5051,f27(f27(x5052)),a51)
% 18.89/19.02 [540]~P7(x5401,f23(x5402),a51)+E(f23(f46(x5401,x5402,a51)),f23(x5402))
% 18.89/19.02 [541]~P7(x5411,f27(x5412),a51)+E(f27(f46(x5411,x5412,a51)),f27(x5412))
% 18.89/19.02 [556]P7(x5561,f13(x5562),a51)+~P7(x5561,f27(f14(a25,x5562)),a51)
% 18.89/19.02 [559]~P7(x5591,a4,a49)+P7(f45(a33,f45(a40,x5591)),f14(a25,x5592),a51)
% 18.89/19.02 [562]~P9(x5621,x5622,f53(a51,a1))+P9(f35(f23(x5621)),f35(f23(x5622)),f53(a51,a1))
% 18.89/19.02 [564]~P9(x5641,f41(f53(x5642,a1)),f53(x5642,a1))+E(x5641,f41(f53(x5642,a1)))
% 18.89/19.02 [693]P7(f38(x6932,x6931),f23(f46(x6931,x6932,a51)),a51)+E(f23(f46(x6931,x6932,a51)),f46(x6931,f23(x6932),a51))
% 18.89/19.02 [694]P7(f39(x6942,x6941),f27(f46(x6941,x6942,a51)),a51)+E(f27(f46(x6941,x6942,a51)),f46(x6941,f27(x6942),a51))
% 18.89/19.02 [698]~P7(f38(x6982,x6981),f46(x6981,f23(x6982),a51),a51)+E(f23(f46(x6981,x6982,a51)),f46(x6981,f23(x6982),a51))
% 18.89/19.02 [699]~P7(f39(x6992,x6991),f46(x6991,f27(x6992),a51),a51)+E(f27(f46(x6991,x6992,a51)),f46(x6991,f27(x6992),a51))
% 18.89/19.02 [729]P9(f27(f46(x7291,x7292,a51)),f11(f35(f23(x7292)),f27(x7292),f53(a51,a1)),f53(a51,a1))+~P7(x7291,f35(f23(x7292)),a51)
% 18.89/19.02 [601]P7(x6011,f29(f23(x6012)),a52)+E(f23(f46(f45(a33,x6011),x6012,a51)),f46(f45(a33,x6011),f23(x6012),a51))
% 18.89/19.02 [632]~P7(x6321,f35(f23(x6322)),a51)+E(f35(f23(f46(x6321,x6322,a51))),f35(f23(x6322)))
% 18.89/19.02 [786]P7(f45(a33,x7861),f13(x7862),a51)+~P7(x7861,f47(a40,f43(f53(a49,a1)),a49,a52),a52)
% 18.89/19.02 [719]~P7(x7191,f13(x7192),a51)+P9(f27(f46(x7191,f41(f53(a51,a1)),a51)),f13(x7192),f53(a51,a1))
% 18.89/19.02 [740]~P7(x7401,f27(x7402),a51)+P7(x7401,f27(f46(f37(x7402,x7401),f41(f53(a51,a1)),a51)),a51)
% 18.89/19.02 [755]~P7(x7551,f35(f23(x7552)),a51)+P9(f27(f46(x7551,f41(f53(a51,a1)),a51)),f11(f35(f23(x7552)),f27(x7552),f53(a51,a1)),f53(a51,a1))
% 18.89/19.02 [458]E(x4581,x4582)+~P8(x4581,x4582,x4583)
% 18.89/19.02 [459]P7(x4591,x4592,x4593)+~P19(f45(x4592,x4591))
% 18.89/19.02 [464]~P2(x4643)+E(f11(x4641,x4642,x4643),f11(x4642,x4641,x4643))
% 18.89/19.02 [465]~P11(x4653)+E(f11(x4651,x4652,x4653),f11(x4652,x4651,x4653))
% 18.89/19.02 [466]~P1(x4663)+E(f12(x4661,x4662,x4663),f12(x4662,x4661,x4663))
% 18.89/19.02 [467]~P2(x4673)+E(f12(x4671,x4672,x4673),f12(x4672,x4671,x4673))
% 18.89/19.02 [468]~P7(x4682,x4681,x4683)+P19(f45(x4681,x4682))
% 18.89/19.02 [473]~P7(x4731,x4732,x4733)+E(f46(x4731,x4732,x4733),x4732)
% 18.89/19.02 [493]~P2(x4933)+P9(x4931,f11(x4932,x4931,x4933),x4933)
% 18.89/19.02 [494]~P11(x4943)+P9(x4941,f11(x4942,x4941,x4943),x4943)
% 18.89/19.02 [495]~P2(x4953)+P9(x4951,f11(x4951,x4952,x4953),x4953)
% 18.89/19.02 [496]~P11(x4963)+P9(x4961,f11(x4961,x4962,x4963),x4963)
% 18.89/19.02 [497]~P1(x4973)+P9(f12(x4971,x4972,x4973),x4972,x4973)
% 18.89/19.02 [498]~P2(x4983)+P9(f12(x4981,x4982,x4983),x4982,x4983)
% 18.89/19.02 [499]~P1(x4993)+P9(f12(x4991,x4992,x4993),x4991,x4993)
% 18.89/19.02 [500]~P2(x5003)+P9(f12(x5001,x5002,x5003),x5001,x5003)
% 18.89/19.02 [518]P7(f22(x5181),f29(x5182),a52)+~P7(f30(x5181,x5183),x5182,a51)
% 18.89/19.02 [521]P7(x5211,f13(x5212),a51)+~P7(f34(x5213,x5211),f13(x5212),a51)
% 18.89/19.02 [522]P7(x5221,f13(x5222),a51)+~P7(f34(x5221,x5223),f13(x5222),a51)
% 18.89/19.02 [523]P7(x5231,f23(x5232),a51)+~P7(f34(x5233,x5231),f23(x5232),a51)
% 18.89/19.02 [524]P7(x5241,f23(x5242),a51)+~P7(f34(x5241,x5243),f23(x5242),a51)
% 18.89/19.02 [525]P7(x5251,f27(x5252),a51)+~P7(f34(x5253,x5251),f27(x5252),a51)
% 18.89/19.02 [526]P7(x5261,f27(x5262),a51)+~P7(f34(x5261,x5263),f27(x5262),a51)
% 18.89/19.02 [527]P7(x5271,f27(x5272),a51)+~P7(f30(x5273,x5271),f27(x5272),a51)
% 18.89/19.02 [550]P7(x5501,f13(x5502),a51)+~P7(f15(x5503,x5501),f24(x5502,a2),a2)
% 18.89/19.02 [568]P7(x5681,f14(x5682,x5683),a51)+~P7(f15(x5682,x5681),f24(x5683,a2),a2)
% 18.89/19.02 [501]~P2(x5013)+E(f11(x5011,f12(x5011,x5012,x5013),x5013),x5011)
% 18.89/19.02 [502]~P2(x5023)+E(f12(x5021,f11(x5021,x5022,x5023),x5023),x5021)
% 18.89/19.02 [519]E(x5191,f41(f53(x5192,a1)))+~E(f11(x5193,x5191,f53(x5192,a1)),f41(f53(x5192,a1)))
% 18.89/19.02 [520]E(x5201,f41(f53(x5202,a1)))+~E(f11(x5201,x5203,f53(x5202,a1)),f41(f53(x5202,a1)))
% 18.89/19.02 [531]~P9(x5311,x5312,f53(x5313,a1))+E(f11(x5311,x5312,f53(x5313,a1)),x5312)
% 18.89/19.02 [532]~P9(x5322,x5321,f53(x5323,a1))+E(f11(x5321,x5322,f53(x5323,a1)),x5321)
% 18.89/19.02 [533]~P9(x5332,x5331,f53(x5333,a1))+E(f12(x5331,x5332,f53(x5333,a1)),x5332)
% 18.89/19.02 [534]~P9(x5341,x5342,f53(x5343,a1))+E(f12(x5341,x5342,f53(x5343,a1)),x5341)
% 18.89/19.02 [535]P9(x5351,x5352,f53(x5353,a1))+~E(f11(x5351,x5352,f53(x5353,a1)),x5352)
% 18.89/19.02 [552]~P2(x5523)+E(f11(x5521,f11(x5521,x5522,x5523),x5523),f11(x5521,x5522,x5523))
% 18.89/19.02 [553]~P11(x5533)+E(f11(x5531,f11(x5531,x5532,x5533),x5533),f11(x5531,x5532,x5533))
% 18.89/19.02 [554]~P1(x5543)+E(f12(x5541,f12(x5541,x5542,x5543),x5543),f12(x5541,x5542,x5543))
% 18.89/19.02 [555]~P2(x5553)+E(f12(x5551,f12(x5551,x5552,x5553),x5553),f12(x5551,x5552,x5553))
% 18.89/19.02 [557]P7(x5571,f35(f23(x5572)),a51)+~P7(f34(x5573,x5571),f35(f23(x5572)),a51)
% 18.89/19.02 [558]P7(x5581,f35(f23(x5582)),a51)+~P7(f34(x5581,x5583),f35(f23(x5582)),a51)
% 18.89/19.02 [563]~E(f23(x5632),f23(x5633))+E(f23(f46(x5631,x5632,a51)),f23(f46(x5631,x5633,a51)))
% 18.89/19.02 [570]E(f17(x5701,x5702,f53(x5703,a1)),x5701)+~E(f12(x5701,x5702,f53(x5703,a1)),f41(f53(x5703,a1)))
% 18.89/19.02 [648]~P9(x6481,x6482,f53(x6483,a1))+E(f11(x6481,f17(x6482,x6481,f53(x6483,a1)),f53(x6483,a1)),x6482)
% 18.89/19.02 [649]~P7(x6491,f23(x6493),a51)+P7(x6491,f23(f46(x6492,x6493,a51)),a51)
% 18.89/19.02 [650]~P7(x6501,f27(x6503),a51)+P7(x6501,f27(f46(x6502,x6503,a51)),a51)
% 18.89/19.02 [690]P7(x6901,x6902,x6903)+E(f17(f46(x6901,x6902,x6903),f46(x6901,f41(f53(x6903,a1)),x6903),f53(x6903,a1)),x6902)
% 18.89/19.02 [714]~P7(x7141,x7143,a51)+P9(f27(f46(x7141,x7142,a51)),f11(f27(x7143),f27(x7142),f53(a51,a1)),f53(a51,a1))
% 18.89/19.02 [795]P9(f23(f46(x7951,x7952,a51)),f11(f35(f23(x7953)),f23(f11(x7953,x7952,f53(a51,a1))),f53(a51,a1)),f53(a51,a1))+~P7(x7951,f35(f23(x7953)),a51)
% 18.89/19.02 [565]P7(x5651,a4,a49)+E(f14(a25,f21(f15(x5651,x5652),x5653,a2)),f14(a25,x5653))
% 18.89/19.02 [575]P7(x5751,f13(x5752),a51)+~P7(x5751,f27(f14(x5753,f3(a2))),a51)
% 18.89/19.02 [619]~P7(x6191,a4,a49)+E(f14(a25,f21(f15(x6191,x6192),x6193,a2)),f46(x6192,f14(a25,x6193),a51))
% 18.89/19.02 [629]E(x6291,x6292)+~E(f46(x6291,f41(f53(x6293,a1)),x6293),f46(x6292,f41(f53(x6293,a1)),x6293))
% 18.89/19.02 [631]P7(f45(a33,f22(x6311)),f23(x6313),a51)+E(f23(f46(f30(x6311,x6312),x6313,a51)),f46(f30(x6311,x6312),f23(x6313),a51))
% 18.89/19.02 [674]E(x6741,x6742)+~P7(x6741,f46(x6742,f41(f53(x6743,a1)),x6743),x6743)
% 18.89/19.02 [688]~P7(x6881,f23(x6883),a51)+P7(x6881,f23(f11(x6882,x6883,f53(a51,a1))),a51)
% 18.89/19.02 [730]~P7(f45(a33,f22(x7301)),f23(x7303),a51)+E(f46(f30(x7301,x7302),f23(f46(x7302,x7303,a51)),a51),f23(f46(f30(x7301,x7302),x7303,a51)))
% 18.89/19.02 [752]~P7(x7521,x7522,x7523)+E(f46(x7521,f17(x7522,f46(x7521,f41(f53(x7523,a1)),x7523),f53(x7523,a1)),x7523),x7522)
% 18.89/19.02 [792]~P7(f45(a33,f22(x7921)),f23(x7923),a51)+P9(f46(f30(x7921,x7922),f23(f46(x7922,x7923,a51)),a51),f23(f46(f30(x7921,x7922),x7923,a51)),f53(a51,a1))
% 18.89/19.02 [838]~P7(x8381,x8382,a52)+P7(f45(a33,x8381),f23(f11(f47(a33,x8382,a52,a51),x8383,f53(a51,a1))),a51)
% 18.89/19.02 [643]~P7(x6432,a4,a49)+P7(f45(a33,f22(f45(f44(x6431),x6432))),f14(a25,x6433),a51)
% 18.89/19.02 [433]E(x4331,x4332)+~E(f34(x4333,x4331),f34(x4334,x4332))
% 18.89/19.02 [434]E(x4341,x4342)+~E(f15(x4343,x4341),f15(x4344,x4342))
% 18.89/19.02 [435]E(x4351,x4352)+~E(f30(x4353,x4351),f30(x4354,x4352))
% 18.89/19.02 [436]E(x4361,x4362)+~E(f34(x4361,x4363),f34(x4362,x4364))
% 18.89/19.02 [437]E(x4371,x4372)+~E(f15(x4371,x4373),f15(x4372,x4374))
% 18.89/19.02 [438]E(x4381,x4382)+~E(f30(x4381,x4383),f30(x4382,x4384))
% 18.89/19.02 [574]~P7(x5741,x5743,x5744)+P7(x5741,f46(x5742,x5743,x5744),x5744)
% 18.89/19.02 [600]~P9(x6001,x6003,f53(x6004,a1))+P9(x6001,f46(x6002,x6003,x6004),f53(x6004,a1))
% 18.89/19.02 [642]P7(x6421,x6422,x6423)+~P9(f46(x6421,x6424,x6423),x6422,f53(x6423,a1))
% 18.89/19.02 [644]P7(x6441,f13(x6442),a51)+~P7(f16(x6443,x6444,x6441),f24(x6442,a2),a2)
% 18.89/19.02 [653]P7(x6531,f14(a25,x6532),a51)+~P7(f16(x6533,x6534,x6531),f24(x6532,a2),a2)
% 18.89/19.02 [654]P7(x6541,f14(x6542,x6543),a51)+~P7(f16(x6542,x6544,x6541),f24(x6543,a2),a2)
% 18.89/19.02 [655]~P9(f46(x6554,x6551,x6553),x6552,f53(x6553,a1))+P9(x6551,x6552,f53(x6553,a1))
% 18.89/19.02 [670]~P9(x6702,x6704,f53(x6703,a1))+P9(f46(x6701,x6702,x6703),f46(x6701,x6704,x6703),f53(x6703,a1))
% 18.89/19.02 [810]~P6(x8102,x8101,x8103,x8104)+P6(f19(x8101,x8102,x8103,x8104),f47(x8102,x8101,x8103,x8104),x8104,x8103)
% 18.89/19.02 [443]E(x4431,x4432)+~E(f45(f44(x4433),x4431),f45(f44(x4434),x4432))
% 18.89/19.02 [444]E(x4441,x4442)+~E(f45(f44(x4441),x4443),f45(f44(x4442),x4444))
% 18.89/19.02 [596]~P19(f45(x5962,x5964))+P19(f45(f46(x5961,x5962,x5963),x5964))
% 18.89/19.02 [597]~P7(x5971,x5973,x5974)+P7(x5971,f11(x5972,x5973,f53(x5974,a1)),x5974)
% 18.89/19.02 [598]~P7(x5981,x5982,x5984)+P7(x5981,f11(x5982,x5983,f53(x5984,a1)),x5984)
% 18.89/19.02 [611]P7(x6112,x6111,x6114)+E(f12(x6111,f46(x6112,x6113,x6114),f53(x6114,a1)),f12(x6111,x6113,f53(x6114,a1)))
% 18.89/19.02 [612]P7(x6121,x6124,x6123)+E(f12(f46(x6121,x6122,x6123),x6124,f53(x6123,a1)),f12(x6122,x6124,f53(x6123,a1)))
% 18.89/19.02 [621]~P2(x6214)+E(f11(x6211,f11(x6212,x6213,x6214),x6214),f11(x6212,f11(x6211,x6213,x6214),x6214))
% 18.89/19.02 [622]~P11(x6224)+E(f11(x6221,f11(x6222,x6223,x6224),x6224),f11(x6222,f11(x6221,x6223,x6224),x6224))
% 18.89/19.02 [623]~P1(x6234)+E(f12(x6231,f12(x6232,x6233,x6234),x6234),f12(x6232,f12(x6231,x6233,x6234),x6234))
% 18.89/19.02 [624]~P2(x6244)+E(f12(x6241,f12(x6242,x6243,x6244),x6244),f12(x6242,f12(x6241,x6243,x6244),x6244))
% 18.89/19.02 [625]~P2(x6253)+E(f11(f11(x6251,x6252,x6253),x6254,x6253),f11(x6251,f11(x6252,x6254,x6253),x6253))
% 18.89/19.02 [626]~P11(x6263)+E(f11(f11(x6261,x6262,x6263),x6264,x6263),f11(x6261,f11(x6262,x6264,x6263),x6263))
% 18.89/19.02 [627]~P1(x6273)+E(f12(f12(x6271,x6272,x6273),x6274,x6273),f12(x6271,f12(x6272,x6274,x6273),x6273))
% 18.89/19.02 [628]~P2(x6283)+E(f12(f12(x6281,x6282,x6283),x6284,x6283),f12(x6281,f12(x6282,x6284,x6283),x6283))
% 18.89/19.02 [645]~P7(x6451,x6454,x6453)+E(f17(f46(x6451,x6452,x6453),x6454,f53(x6453,a1)),f17(x6452,x6454,f53(x6453,a1)))
% 18.89/19.02 [658]P7(x6581,x6582,x6583)+~P7(x6581,f12(x6584,x6582,f53(x6583,a1)),x6583)
% 18.89/19.02 [659]P7(x6591,x6592,x6593)+~P7(x6591,f12(x6592,x6594,f53(x6593,a1)),x6593)
% 18.89/19.02 [660]P7(x6601,x6602,x6603)+~P7(x6601,f17(x6602,x6604,f53(x6603,a1)),x6603)
% 18.89/19.02 [664]~P7(f16(x6643,x6644,x6641),f24(x6642,a2),a2)+P7(x6641,f23(f14(a25,x6642)),a51)
% 18.89/19.02 [665]~P7(f16(x6653,x6654,x6651),f24(x6652,a2),a2)+P7(x6651,f27(f14(a25,x6652)),a51)
% 18.89/19.02 [669]~P7(x6691,x6692,x6693)+~P7(x6691,f17(x6694,x6692,f53(x6693,a1)),x6693)
% 18.89/19.02 [679]P7(x6791,x6794,x6792)+E(f48(f5(x6791,x6792,x6793),x6794,x6793,x6792),f41(f53(x6793,a1)))
% 18.89/19.02 [680]~P3(x6803)+E(f12(f11(x6801,x6802,x6803),f11(x6801,x6804,x6803),x6803),f11(x6801,f12(x6802,x6804,x6803),x6803))
% 18.89/19.02 [681]~P3(x6813)+E(f11(f12(x6811,x6812,x6813),f12(x6811,x6814,x6813),x6813),f12(x6811,f11(x6812,x6814,x6813),x6813))
% 18.89/19.02 [682]~P3(x6823)+E(f12(f11(x6821,x6822,x6823),f11(x6824,x6822,x6823),x6823),f11(f12(x6821,x6824,x6823),x6822,x6823))
% 18.89/19.02 [683]~P3(x6833)+E(f11(f12(x6831,x6832,x6833),f12(x6834,x6832,x6833),x6833),f12(f11(x6831,x6834,x6833),x6832,x6833))
% 18.89/19.02 [684]P9(x6841,x6842,f53(x6843,a1))+~P9(x6841,f12(x6844,x6842,f53(x6843,a1)),f53(x6843,a1))
% 18.89/19.02 [685]P9(x6851,x6852,f53(x6853,a1))+~P9(x6851,f12(x6852,x6854,f53(x6853,a1)),f53(x6853,a1))
% 18.89/19.02 [686]P9(x6861,x6862,f53(x6863,a1))+~P9(f11(x6864,x6861,f53(x6863,a1)),x6862,f53(x6863,a1))
% 18.89/19.02 [687]P9(x6871,x6872,f53(x6873,a1))+~P9(f11(x6871,x6874,f53(x6873,a1)),x6872,f53(x6873,a1))
% 18.89/19.02 [692]~E(f47(x6923,x6921,x6922,x6924),f41(f53(x6924,a1)))+E(x6921,f41(f53(x6922,a1)))
% 18.89/19.02 [697]~P7(x6971,x6974,x6972)+E(f48(f5(x6971,x6972,x6973),x6974,x6973,x6972),f43(f53(x6973,a1)))
% 18.89/19.02 [723]~P9(x7233,x7231,f53(x7234,a1))+E(f12(x7231,f11(x7232,x7233,f53(x7234,a1)),f53(x7234,a1)),f11(f12(x7231,x7232,f53(x7234,a1)),x7233,f53(x7234,a1)))
% 18.89/19.02 [727]~P9(f17(x7271,x7272,f53(x7274,a1)),x7273,f53(x7274,a1))+P9(x7271,f11(x7272,x7273,f53(x7274,a1)),f53(x7274,a1))
% 18.89/19.02 [728]~P9(x7281,f11(x7282,x7284,f53(x7283,a1)),f53(x7283,a1))+P9(f17(x7281,x7282,f53(x7283,a1)),x7284,f53(x7283,a1))
% 18.89/19.02 [758]P9(x7581,x7582,f53(x7583,a1))+~E(f12(x7582,f11(x7584,x7581,f53(x7583,a1)),f53(x7583,a1)),f11(f12(x7582,x7584,f53(x7583,a1)),x7581,f53(x7583,a1)))
% 18.89/19.02 [769]~P2(x7694)+P9(f11(x7691,f12(x7692,x7693,x7694),x7694),f12(f11(x7691,x7692,x7694),f11(x7691,x7693,x7694),x7694),x7694)
% 18.89/19.02 [770]~P2(x7703)+P9(f11(f12(x7701,x7702,x7703),f12(x7701,x7704,x7703),x7703),f12(x7701,f11(x7702,x7704,x7703),x7703),x7703)
% 18.89/19.02 [771]E(x7711,x7712)+~P7(f45(f44(x7711),x7713),f47(f44(x7712),x7714,a49,a52),a52)
% 18.89/19.02 [778]P7(x7781,x7782,a49)+~P7(f45(f44(x7783),x7781),f47(f44(x7784),x7782,a49,a52),a52)
% 18.89/19.02 [789]~P6(x7892,f43(f53(x7891,a1)),x7891,x7893)+E(f45(f20(f43(f53(x7891,a1)),x7892,x7891,x7893),f45(x7892,x7894)),x7894)
% 18.89/19.02 [790]~P6(x7902,f43(f53(x7901,a1)),x7901,x7903)+E(f45(f19(f43(f53(x7901,a1)),x7902,x7901,x7903),f45(x7902,x7904)),x7904)
% 18.89/19.02 [799]~P6(x7991,f43(f53(x7993,a1)),x7993,x7994)+E(f48(x7991,f47(x7991,x7992,x7993,x7994),x7993,x7994),x7992)
% 18.89/19.02 [811]~P6(x8112,x8111,x8113,x8114)+E(f47(f19(x8111,x8112,x8113,x8114),f47(x8112,x8111,x8113,x8114),x8114,x8113),x8111)
% 18.89/19.02 [823]~P6(x8232,f43(f53(x8231,a1)),x8231,x8233)+E(f47(f20(f43(f53(x8231,a1)),x8232,x8231,x8233),f47(x8232,x8234,x8231,x8233),x8233,x8231),x8234)
% 18.89/19.02 [470]E(x4701,x4702)+~E(f34(f32(f34(x4703,x4702)),x4702),f34(x4704,x4701))
% 18.89/19.02 [492]E(x4921,f32(f34(x4922,x4923)))+~E(f34(f32(f34(x4922,x4923)),x4923),f34(x4921,x4924))
% 18.89/19.02 [561]E(x5611,x5612)+~E(f34(f32(f34(x5611,x5613)),x5613),f34(f32(f34(x5612,x5614)),x5614))
% 18.89/19.02 [661]~P19(f45(x6612,x6614))+P19(f45(f11(x6611,x6612,f53(x6613,a1)),x6614))
% 18.89/19.02 [662]~P19(f45(x6621,x6624))+P19(f45(f11(x6621,x6622,f53(x6623,a1)),x6624))
% 18.89/19.02 [689]P7(x6891,x6894,x6893)+E(f17(f46(x6891,x6892,x6893),x6894,f53(x6893,a1)),f46(x6891,f17(x6892,x6894,f53(x6893,a1)),x6893))
% 18.89/19.02 [705]~P7(x7051,x7052,x7054)+E(f46(x7051,f12(x7052,x7053,f53(x7054,a1)),x7054),f12(x7052,f46(x7051,x7053,x7054),f53(x7054,a1)))
% 18.89/19.02 [706]~P7(x7061,x7063,x7064)+E(f46(x7061,f12(x7062,x7063,f53(x7064,a1)),x7064),f12(f46(x7061,x7062,x7064),x7063,f53(x7064,a1)))
% 18.89/19.02 [709]E(x7091,f41(f53(x7092,a1)))+E(f47(f5(x7093,x7094,x7092),x7091,x7092,x7094),f46(x7093,f41(f53(x7094,a1)),x7094))
% 18.89/19.02 [717]P19(f45(x7171,x7172))+~P19(f45(f12(x7173,x7171,f53(x7174,a1)),x7172))
% 18.89/19.02 [718]P19(f45(x7181,x7182))+~P19(f45(f12(x7181,x7183,f53(x7184,a1)),x7182))
% 18.89/19.02 [806]E(f45(x8061,f6(x8062,x8061,x8063,x8064)),x8062)+~P7(x8062,f47(x8061,f43(f53(x8064,a1)),x8064,x8063),x8063)
% 18.89/19.02 [767]~P7(x7671,f23(f14(a25,x7674)),a51)+P7(x7671,f23(f14(a25,f21(f15(x7672,x7673),x7674,a2))),a51)
% 18.89/19.02 [509]E(x5091,x5092)+~E(f21(x5093,x5091,x5094),f21(x5095,x5092,x5094))
% 18.89/19.02 [511]E(x5111,x5112)+~E(f21(x5111,x5113,x5114),f21(x5112,x5115,x5114))
% 18.89/19.02 [745]~P7(x7452,x7453,x7454)+P7(f45(x7451,x7452),f47(x7451,x7453,x7454,x7455),x7455)
% 18.89/19.02 [750]~P7(f45(x7502,x7501),x7503,x7505)+P7(x7501,f48(x7502,x7503,x7504,x7505),x7504)
% 18.89/19.02 [759]P6(x7591,x7592,x7593,x7594)+~P6(x7591,f46(x7595,x7592,x7593),x7593,x7594)
% 18.89/19.02 [775]~P7(x7752,f48(x7751,x7753,x7755,x7754),x7755)+P7(f45(x7751,x7752),x7753,x7754)
% 18.89/19.02 [797]~P9(x7972,x7975,f53(x7973,a1))+P9(f47(x7971,x7972,x7973,x7974),f47(x7971,x7975,x7973,x7974),f53(x7974,a1))
% 18.89/19.02 [798]~P9(x7982,x7985,f53(x7984,a1))+P9(f48(x7981,x7982,x7983,x7984),f48(x7981,x7985,x7983,x7984),f53(x7983,a1))
% 18.89/19.02 [813]P6(f20(x8131,x8132,x8133,x8134),x8135,x8134,x8133)+~P9(x8135,f47(x8132,x8131,x8133,x8134),f53(x8134,a1))
% 18.89/19.02 [826]~E(f18(x8261,x8262,x8263,x8264,x8265),x8261)+E(f45(x8261,x8262),x8263)
% 18.89/19.02 [757]~P6(x7571,x7572,x7574,x7575)+P6(x7571,f17(x7572,x7573,f53(x7574,a1)),x7574,x7575)
% 18.89/19.02 [765]P6(x7651,x7652,x7653,x7654)+~P6(x7651,f11(x7655,x7652,f53(x7653,a1)),x7653,x7654)
% 18.89/19.02 [766]P6(x7661,x7662,x7663,x7664)+~P6(x7661,f11(x7662,x7665,f53(x7663,a1)),x7663,x7664)
% 18.89/19.02 [768]~P7(x7682,x7683,x7684)+E(f46(f45(x7681,x7682),f47(x7681,x7683,x7684,x7685),x7685),f47(x7681,x7683,x7684,x7685))
% 18.89/19.02 [794]~P19(f45(x7942,f45(x7941,x7945)))+P19(f45(f48(x7941,x7942,x7943,x7944),x7945))
% 18.89/19.02 [817]P19(f45(x8171,f45(x8172,x8173)))+~P19(f45(f48(x8172,x8171,x8174,x8175),x8173))
% 18.89/19.02 [827]~P7(x8275,f47(x8272,x8271,x8273,x8274),x8274)+P7(f45(f20(x8271,x8272,x8273,x8274),x8275),x8271,x8273)
% 18.89/19.02 [836]~P6(x8361,f11(x8362,x8363,f53(x8364,a1)),x8364,x8365)+E(f12(f47(x8361,f17(x8362,x8363,f53(x8364,a1)),x8364,x8365),f47(x8361,f17(x8363,x8362,f53(x8364,a1)),x8364,x8365),f53(x8365,a1)),f41(f53(x8365,a1)))
% 18.89/19.02 [716]~P7(x7165,x7164,x7163)+E(f47(f5(x7161,x7162,x7163),x7164,x7163,x7162),f46(x7161,f41(f53(x7162,a1)),x7162))
% 18.89/19.02 [825]~P7(x8255,f47(x8251,x8252,x8253,x8254),x8254)+E(f45(x8251,f45(f20(x8252,x8251,x8253,x8254),x8255)),x8255)
% 18.89/19.02 [828]~P6(x8281,f43(f53(x8283,a1)),x8283,x8284)+E(f12(f47(x8281,x8282,x8283,x8284),f47(x8281,x8285,x8283,x8284),f53(x8284,a1)),f47(x8281,f12(x8282,x8285,f53(x8283,a1)),x8283,x8284))
% 18.89/19.02 [829]~P6(x8291,f43(f53(x8293,a1)),x8293,x8294)+E(f17(f47(x8291,x8292,x8293,x8294),f47(x8291,x8295,x8293,x8294),f53(x8294,a1)),f47(x8291,f17(x8292,x8295,f53(x8293,a1)),x8293,x8294))
% 18.89/19.02 [852]~P6(x8521,f46(x8522,x8523,x8524),x8524,x8525)+~P7(f45(x8521,x8522),f47(x8521,f17(x8523,f46(x8522,f41(f53(x8524,a1)),x8524),f53(x8524,a1)),x8524,x8525),x8525)
% 18.89/19.02 [807]E(f45(x8071,x8072),x8073)+~P7(x8072,f48(x8071,f46(x8073,f41(f53(x8074,a1)),x8074),x8075,x8074),x8075)
% 18.89/19.02 [808]~P7(x8081,f23(f14(a25,x8085)),a51)+P7(x8081,f23(f14(a25,f21(f16(x8082,x8083,x8084),x8085,a2))),a51)
% 18.89/19.02 [507]E(x5071,x5072)+~E(f16(x5073,x5074,x5071),f16(x5075,x5076,x5072))
% 18.89/19.02 [508]E(x5081,x5082)+~E(f16(x5083,x5081,x5084),f16(x5085,x5082,x5086))
% 18.89/19.02 [510]E(x5101,x5102)+~E(f16(x5101,x5103,x5104),f16(x5102,x5105,x5106))
% 18.89/19.02 [840]E(x8401,x8402)+E(f45(f18(x8403,x8401,x8404,x8405,x8406),x8402),f45(x8403,x8402))
% 18.89/19.02 [849]P7(x8492,x8496,x8494)+E(f47(f18(x8491,x8492,x8493,x8494,x8495),x8496,x8494,x8495),f47(x8491,x8496,x8494,x8495))
% 18.89/19.02 [867]~P7(x8674,x8673,x8675)+E(f46(x8671,f47(x8672,f17(x8673,f46(x8674,f41(f53(x8675,a1)),x8675),f53(x8675,a1)),x8675,x8676),x8676),f47(f18(x8672,x8674,x8671,x8675,x8676),x8673,x8675,x8676))
% 18.89/19.02 [819]P7(x8191,f27(f14(a25,x8192)),a51)+~P7(f16(a26,x8193,f30(f45(a40,x8193),f34(x8194,f34(x8195,f34(x8191,x8196))))),f24(x8192,a2),a2)
% 18.89/19.02 [870]E(x8701,x8702)+E(f18(f18(x8703,x8701,x8704,x8705,x8706),x8702,x8707,x8705,x8706),f18(f18(x8703,x8702,x8707,x8705,x8706),x8701,x8704,x8705,x8706))
% 18.89/19.02 [809]P7(x8091,f27(f14(a25,x8092)),a51)+~P7(f16(x8093,x8094,f30(x8095,f34(x8096,f34(x8097,f34(x8098,x8091))))),f24(x8092,a2),a2)
% 18.89/19.02 [551]P7(f32(x5511),x5512,a51)+P7(x5511,f35(x5512),a51)+~P7(f32(x5511),f35(x5512),a51)
% 18.89/19.02 [640]~P7(x6401,a4,a49)+~P7(x6402,a42,f50(a2))+P7(f45(a33,f45(a40,x6401)),f23(f14(a25,x6402)),a51)
% 18.89/19.02 [641]~P7(x6411,a4,a49)+~P7(x6412,a42,f50(a2))+P7(f45(a33,f45(a40,x6411)),f27(f14(a25,x6412)),a51)
% 18.89/19.02 [671]P7(x6711,a4,a49)+~P7(x6712,a42,f50(a2))+~P7(f45(a33,f45(a40,x6711)),f23(f14(a25,x6712)),a51)
% 18.89/19.02 [672]P7(x6721,a4,a49)+~P7(x6722,a42,f50(a2))+~P7(f45(a33,f45(a40,x6721)),f27(f14(a25,x6722)),a51)
% 18.89/19.02 [469]P9(x4692,x4691,x4693)+~P16(x4693)+P9(x4691,x4692,x4693)
% 18.89/19.02 [460]~P10(x4602)+~E(f11(x4603,x4601,x4602),f41(x4602))+E(x4601,f41(x4602))
% 18.89/19.02 [461]~P10(x4612)+~E(f12(x4613,x4611,x4612),f43(x4612))+E(x4611,f43(x4612))
% 18.89/19.02 [462]~P10(x4622)+~E(f11(x4621,x4623,x4622),f41(x4622))+E(x4621,f41(x4622))
% 18.89/19.02 [463]~P10(x4632)+~E(f12(x4631,x4633,x4632),f43(x4632))+E(x4631,f43(x4632))
% 18.89/19.02 [478]~P11(x4783)+~P9(x4781,x4782,x4783)+E(f11(x4781,x4782,x4783),x4782)
% 18.89/19.02 [479]~P11(x4793)+~P9(x4792,x4791,x4793)+E(f11(x4791,x4792,x4793),x4791)
% 18.89/19.02 [480]~P1(x4803)+~P9(x4802,x4801,x4803)+E(f12(x4801,x4802,x4803),x4802)
% 18.89/19.02 [481]~P1(x4813)+~P9(x4811,x4812,x4813)+E(f12(x4811,x4812,x4813),x4811)
% 18.89/19.02 [482]~P11(x4823)+P9(x4821,x4822,x4823)+~E(f11(x4821,x4822,x4823),x4822)
% 18.89/19.02 [483]~P1(x4833)+P9(x4831,x4832,x4833)+~E(f12(x4831,x4832,x4833),x4831)
% 18.89/19.02 [572]E(x5721,x5722)+~P9(x5721,x5722,f53(x5723,a1))+~P9(x5722,x5721,f53(x5723,a1))
% 18.89/19.02 [584]~P7(x5841,a36,a52)+P7(x5841,f29(x5842),a52)+~P7(f30(x5841,x5843),x5842,a51)
% 18.89/19.02 [585]P7(f34(x5851,x5852),f35(x5853),a51)+~P7(x5852,f35(x5853),a51)+~P7(x5851,f35(x5853),a51)
% 18.89/19.02 [586]P7(x5861,f35(x5862),a51)+P7(f34(x5863,x5861),x5862,a51)+~P7(f34(x5863,x5861),f35(x5862),a51)
% 18.89/19.02 [587]P7(x5871,f35(x5872),a51)+P7(f34(x5871,x5873),x5872,a51)+~P7(f34(x5871,x5873),f35(x5872),a51)
% 18.89/19.02 [588]P7(x5881,f35(x5882),a51)+P7(f30(x5883,x5881),x5882,a51)+~P7(f30(x5883,x5881),f35(x5882),a51)
% 18.89/19.02 [589]~P9(x5893,f23(x5892),f53(a51,a1))+P7(x5891,f23(x5892),a51)+~P7(x5891,f23(x5893),a51)
% 18.89/19.02 [590]~P9(x5903,f35(x5902),f53(a51,a1))+P7(x5901,f35(x5902),a51)+~P7(x5901,f35(x5903),a51)
% 18.89/19.02 [591]~P9(x5913,f27(x5912),f53(a51,a1))+P7(x5911,f27(x5912),a51)+~P7(x5911,f27(x5913),a51)
% 18.89/19.02 [595]~P7(f30(x5951,x5952),f35(x5953),a51)+P7(f30(x5951,x5952),x5953,a51)+P7(f45(a33,x5951),x5953,a51)
% 18.89/19.02 [599]P7(f30(x5991,x5992),f35(x5993),a51)+~P7(x5992,f35(x5993),a51)+~P7(f45(a33,x5991),x5993,a51)
% 18.89/19.02 [613]~P7(x6133,a4,a49)+~P7(f15(x6133,x6131),f24(x6132,a2),a2)+P7(x6131,f14(a25,x6132),a51)
% 18.89/19.02 [618]~P9(x6183,x6182,f53(a51,a1))+~P7(x6181,f23(x6183),a51)+E(f23(f46(x6181,x6182,a51)),f23(x6182))
% 18.89/19.02 [639]P7(x6391,f23(x6392),a51)+~P7(f30(x6393,x6391),f23(x6392),a51)+~P7(f45(a33,f22(x6393)),f23(x6392),a51)
% 18.89/19.02 [666]P7(x6661,f35(f23(x6662)),a51)+P7(f32(f34(x6661,x6663)),f23(x6662),a51)+~P7(f32(f34(x6661,x6663)),f35(f23(x6662)),a51)
% 18.89/19.02 [695]~P7(x6953,a4,a49)+P7(x6951,f23(f14(a25,x6952)),a51)+~P7(f30(f45(a40,x6953),x6951),f23(f14(a25,x6952)),a51)
% 18.89/19.02 [696]P7(x6961,f23(x6962),a51)+~P7(f30(f45(a40,x6963),x6961),f23(x6962),a51)+~P7(f45(a33,f45(a40,x6963)),f23(x6962),a51)
% 18.89/19.02 [720]P7(x7201,f23(x7202),a51)+~P7(x7203,f23(x7202),a51)+~P7(x7201,f23(f46(x7203,x7202,a51)),a51)
% 18.89/19.02 [721]P7(x7211,f35(x7212),a51)+~P7(x7213,f35(x7212),a51)+~P7(x7211,f35(f46(x7213,x7212,a51)),a51)
% 18.89/19.02 [756]P7(x7561,f11(f35(f23(x7562)),f27(x7562),f53(a51,a1)),a51)+~P7(x7563,f35(f23(x7562)),a51)+~P7(x7561,f27(f46(x7563,x7562,a51)),a51)
% 18.89/19.02 [713]P7(x7131,f35(f23(x7132)),a51)+P7(f32(f34(x7131,x7133)),f23(x7132),a51)+~P7(f34(f32(f34(x7131,x7133)),x7133),f35(f23(x7132)),a51)
% 18.89/19.02 [722]~P5(x7223)+~P7(x7222,f35(f23(f14(a25,x7223))),a51)+P5(f21(f16(a25,x7221,x7222),x7223,a2))
% 18.89/19.02 [726]~P9(x7261,f46(x7263,f41(f53(x7262,a1)),x7262),f53(x7262,a1))+E(x7261,f41(f53(x7262,a1)))+E(x7261,f46(x7263,f41(f53(x7262,a1)),x7262))
% 18.89/19.02 [746]P7(x7461,f27(x7462),a51)+P7(x7461,f27(x7463),a51)+~P7(x7461,f27(f11(x7462,x7463,f53(a51,a1))),a51)
% 18.89/19.02 [751]~P7(x7513,a42,f50(a2))+P7(f21(f16(a25,x7511,x7512),x7513,a2),a42,f50(a2))+~P7(x7512,f35(f23(f14(a25,x7513))),a51)
% 18.89/19.02 [785]P7(x7851,f11(f35(f23(x7852)),f27(x7852),f53(a51,a1)),a51)+~P7(x7853,f35(f23(x7852)),a51)+~P7(x7851,f27(f46(x7853,f41(f53(a51,a1)),a51)),a51)
% 18.89/19.02 [512]~P14(x5124)+E(x5121,x5122)+~E(f17(x5123,x5123,x5124),f17(x5121,x5122,x5124))
% 18.89/19.02 [513]~P14(x5133)+E(x5131,x5132)+~E(f17(x5131,x5132,x5133),f17(x5134,x5134,x5133))
% 18.89/19.02 [530]~P9(x5303,x5301,f53(x5304,a1))+P19(f45(x5301,x5302))+~P19(f45(x5303,x5302))
% 18.89/19.02 [576]~P11(x5764)+~P9(x5761,x5763,x5764)+P9(x5761,f11(x5762,x5763,x5764),x5764)
% 18.89/19.02 [577]~P11(x5774)+~P9(x5771,x5772,x5774)+P9(x5771,f11(x5772,x5773,x5774),x5774)
% 18.89/19.02 [578]~P1(x5783)+~P9(x5782,x5784,x5783)+P9(f12(x5781,x5782,x5783),x5784,x5783)
% 18.89/19.02 [579]~P1(x5793)+~P9(x5791,x5794,x5793)+P9(f12(x5791,x5792,x5793),x5794,x5793)
% 18.89/19.02 [583]P7(x5831,x5832,x5833)+~P7(x5831,x5834,x5833)+~P9(x5834,x5832,f53(x5833,a1))
% 18.89/19.02 [602]E(x6021,x6022)+P7(x6021,x6023,x6024)+~P7(x6021,f46(x6022,x6023,x6024),x6024)
% 18.89/19.02 [604]~P1(x6043)+P9(x6041,x6042,x6043)+~P9(x6041,f12(x6044,x6042,x6043),x6043)
% 18.89/19.02 [606]~P1(x6063)+P9(x6061,x6062,x6063)+~P9(x6061,f12(x6062,x6064,x6063),x6063)
% 18.89/19.02 [608]~P11(x6083)+P9(x6081,x6082,x6083)+~P9(f11(x6084,x6081,x6083),x6082,x6083)
% 18.89/19.02 [610]~P11(x6103)+P9(x6101,x6102,x6103)+~P9(f11(x6101,x6104,x6103),x6102,x6103)
% 18.89/19.02 [616]~P9(x6161,x6164,f53(x6163,a1))+~P9(x6164,x6162,f53(x6163,a1))+P9(x6161,x6162,f53(x6163,a1))
% 18.89/19.02 [667]~P7(x6671,x6674,x6673)+~P9(x6672,x6674,f53(x6673,a1))+P9(f46(x6671,x6672,x6673),x6674,f53(x6673,a1))
% 18.89/19.02 [676]P7(x6761,x6762,x6763)+~P9(x6762,f46(x6761,x6764,x6763),f53(x6763,a1))+P9(x6762,x6764,f53(x6763,a1))
% 18.89/19.02 [630]~P7(x6304,x6302,x6303)+~P7(x6304,x6301,x6303)+~E(f12(x6301,x6302,f53(x6303,a1)),f41(f53(x6303,a1)))
% 18.89/19.02 [647]~P7(x6471,x6474,x6473)+P7(x6471,x6472,x6473)+P7(x6471,f17(x6474,x6472,f53(x6473,a1)),x6473)
% 18.89/19.02 [657]~P7(x6571,x6573,x6574)+~P7(x6571,x6572,x6574)+P7(x6571,f12(x6572,x6573,f53(x6574,a1)),x6574)
% 18.89/19.02 [673]E(x6731,x6732)+P19(f45(x6733,x6731))+~P19(f45(f46(x6732,x6733,x6734),x6731))
% 18.89/19.02 [678]P7(x6781,x6782,x6783)+P7(x6781,x6784,x6783)+~P7(x6781,f11(x6782,x6784,f53(x6783,a1)),x6783)
% 18.89/19.02 [701]~P9(x7011,x7012,f53(x7014,a1))+~P9(x7011,x7013,f53(x7014,a1))+P9(x7011,f12(x7012,x7013,f53(x7014,a1)),f53(x7014,a1))
% 18.89/19.02 [703]~P9(x7031,x7034,f53(x7033,a1))+~P9(x7032,x7034,f53(x7033,a1))+P9(f11(x7031,x7032,f53(x7033,a1)),x7034,f53(x7033,a1))
% 18.89/19.02 [704]~P9(x7041,x7042,f53(x7044,a1))+~P9(x7043,x7041,f53(x7044,a1))+E(f17(x7041,f17(x7042,x7043,f53(x7044,a1)),f53(x7044,a1)),x7043)
% 18.89/19.02 [715]E(x7151,x7152)+P7(x7151,f24(x7153,x7154),x7154)+~P7(x7151,f24(f21(x7152,x7153,x7154),x7154),x7154)
% 18.89/19.02 [783]~P7(x7832,x7831,x7833)+~P9(x7831,f46(x7832,x7834,x7833),f53(x7833,a1))+P9(f17(x7831,f46(x7832,f41(f53(x7833,a1)),x7833),f53(x7833,a1)),x7834,f53(x7833,a1))
% 18.89/19.02 [802]~P7(x8022,x8021,x8024)+P9(x8021,f46(x8022,x8023,x8024),f53(x8024,a1))+~P9(f17(x8021,f46(x8022,f41(f53(x8024,a1)),x8024),f53(x8024,a1)),x8023,f53(x8024,a1))
% 18.89/19.02 [620]~E(f23(x6201),f23(x6203))+~E(f23(x6202),f23(x6204))+E(f23(f11(x6201,x6202,f53(a51,a1))),f23(f11(x6203,x6204,f53(a51,a1))))
% 18.89/19.02 [677]~P19(f45(x6772,x6774))+~P19(f45(x6771,x6774))+P19(f45(f12(x6771,x6772,f53(x6773,a1)),x6774))
% 18.89/19.02 [725]P19(f45(x7251,x7252))+P19(f45(x7253,x7252))+~P19(f45(f11(x7251,x7253,f53(x7254,a1)),x7252))
% 18.89/19.02 [764]~P7(x7644,f27(x7643),a51)+~P7(x7641,f27(f46(x7644,x7642,a51)),a51)+P7(x7641,f27(f11(x7642,x7643,f53(a51,a1))),a51)
% 18.89/19.02 [777]~P9(f23(x7772),f23(x7774),f53(a51,a1))+~P9(f23(x7771),f23(x7773),f53(a51,a1))+P9(f23(f11(x7771,x7772,f53(a51,a1))),f23(f11(x7773,x7774,f53(a51,a1))),f53(a51,a1))
% 18.89/19.02 [824]~P6(x8241,f43(f53(x8244,a1)),x8244,x8243)+E(f8(f45(x8241,x8242),x8241,x8243,x8244),x8242)+~P7(f45(x8241,x8242),f47(x8241,f43(f53(x8244,a1)),x8244,x8243),x8243)
% 18.89/19.02 [831]~P6(x8311,f43(f53(x8314,a1)),x8314,x8313)+E(f45(x8311,f8(x8312,x8311,x8313,x8314)),x8312)+~P7(x8312,f47(x8311,f43(f53(x8314,a1)),x8314,x8313),x8313)
% 18.89/19.02 [776]~P5(x7762)+P7(f31(x7761),f13(x7762),a51)+P5(f21(f16(x7763,a26,f34(f28(x7763),f34(f28(x7764),f31(x7761)))),x7762,a2))
% 18.89/19.02 [787]P7(f31(x7871),f13(x7872),a51)+~P7(x7872,a42,f50(a2))+P7(f21(f16(x7873,a26,f34(f28(x7873),f34(f28(x7874),f31(x7871)))),x7872,a2),a42,f50(a2))
% 18.89/19.02 [569]~P4(x5694)+P9(f45(x5691,x5692),f45(x5693,x5692),x5694)+~P9(x5691,x5693,f53(x5695,x5694))
% 18.89/19.02 [753]P6(x7531,x7532,x7533,x7534)+~P6(x7531,x7535,x7533,x7534)+~P9(x7532,x7535,f53(x7533,a1))
% 18.89/19.02 [712]E(x7121,x7122)+~E(f45(x7123,x7121),f45(x7123,x7122))+~P6(x7123,f43(f53(x7124,a1)),x7124,x7125)
% 18.89/19.02 [735]~P9(x7351,x7354,f53(x7353,a1))+~P9(x7352,x7355,f53(x7353,a1))+P9(f11(x7351,x7352,f53(x7353,a1)),f11(x7354,x7355,f53(x7353,a1)),f53(x7353,a1))
% 18.89/19.02 [736]~P9(x7361,x7364,f53(x7363,a1))+~P9(x7362,x7365,f53(x7363,a1))+P9(f12(x7361,x7362,f53(x7363,a1)),f12(x7364,x7365,f53(x7363,a1)),f53(x7363,a1))
% 18.89/19.02 [737]~P9(x7371,x7374,f53(x7373,a1))+~P9(x7375,x7372,f53(x7373,a1))+P9(f17(x7371,x7372,f53(x7373,a1)),f17(x7374,x7375,f53(x7373,a1)),f53(x7373,a1))
% 18.89/19.02 [780]~P7(x7805,x7801,x7803)+~P6(x7802,x7801,x7803,x7804)+E(f45(f20(x7801,x7802,x7803,x7804),f45(x7802,x7805)),x7805)
% 18.89/19.02 [782]~P7(x7825,x7821,x7823)+~P6(x7822,x7821,x7823,x7824)+E(f45(f19(x7821,x7822,x7823,x7824),f45(x7822,x7825)),x7825)
% 18.89/19.02 [800]E(x8001,x8002)+~E(f47(x8003,x8001,x8004,x8005),f47(x8003,x8002,x8004,x8005))+~P6(x8003,f43(f53(x8004,a1)),x8004,x8005)
% 18.89/19.02 [804]E(x8041,x8042)+~E(f47(x8043,x8041,x8044,x8045),f47(x8043,x8042,x8044,x8045))+~P6(x8043,f11(x8041,x8042,f53(x8044,a1)),x8044,x8045)
% 18.89/19.02 [805]P7(x8051,x8052,x8053)+~P7(f45(x8054,x8051),f47(x8054,x8052,x8053,x8055),x8055)+~P6(x8054,f43(f53(x8053,a1)),x8053,x8055)
% 18.89/19.02 [818]~P6(x8182,x8181,x8183,x8184)+~P9(x8185,x8181,f53(x8183,a1))+E(f47(f20(x8181,x8182,x8183,x8184),f47(x8182,x8185,x8183,x8184),x8184,x8183),x8185)
% 18.89/19.02 [830]~P9(x8302,f47(x8301,x8305,x8303,x8304),f53(x8304,a1))+P9(f48(x8301,x8302,x8303,x8304),x8305,f53(x8303,a1))+~P6(x8301,f43(f53(x8303,a1)),x8303,x8304)
% 18.89/19.02 [834]~P9(f47(x8344,x8341,x8343,x8345),f47(x8344,x8342,x8343,x8345),f53(x8345,a1))+P9(x8341,x8342,f53(x8343,a1))+~P6(x8344,f43(f53(x8343,a1)),x8343,x8345)
% 18.89/19.02 [814]~P6(x8143,f43(f53(x8144,a1)),x8144,x8145)+P19(f45(x8141,x8142))+P7(f7(x8141,x8143,x8144,x8145),f47(x8143,f43(f53(x8144,a1)),x8144,x8145),x8145)
% 18.89/19.02 [835]~P6(x8351,x8352,x8353,x8354)+~P7(x8355,f47(x8351,x8352,x8353,x8354),x8354)+E(f45(x8351,f45(f19(x8352,x8351,x8353,x8354),x8355)),x8355)
% 18.89/19.02 [844]~P6(x8441,x8443,x8444,x8445)+P6(x8441,f46(x8442,x8443,x8444),x8444,x8445)+P7(f45(x8441,x8442),f47(x8441,f17(x8443,f46(x8442,f41(f53(x8444,a1)),x8444),f53(x8444,a1)),x8444,x8445),x8445)
% 18.89/19.02 [871]~P6(x8713,f43(f53(x8714,a1)),x8714,x8715)+P19(f45(x8711,x8712))+~P19(f45(x8711,f45(f20(f43(f53(x8714,a1)),x8713,x8714,x8715),f7(x8711,x8713,x8714,x8715))))
% 18.89/19.02 [760]E(x7601,x7602)+E(x7601,x7603)+~E(f46(x7604,f46(x7601,f41(f53(x7605,a1)),x7605),x7605),f46(x7603,f46(x7602,f41(f53(x7605,a1)),x7605),x7605))
% 18.89/19.02 [761]E(x7611,x7612)+E(x7613,x7612)+~E(f46(x7613,f46(x7611,f41(f53(x7614,a1)),x7614),x7614),f46(x7615,f46(x7612,f41(f53(x7614,a1)),x7614),x7614))
% 18.89/19.02 [762]E(x7621,x7622)+E(x7623,x7622)+~E(f46(x7623,f46(x7621,f41(f53(x7624,a1)),x7624),x7624),f46(x7622,f46(x7625,f41(f53(x7624,a1)),x7624),x7624))
% 18.89/19.02 [763]E(x7631,x7632)+E(x7631,x7633)+~E(f46(x7631,f46(x7634,f41(f53(x7635,a1)),x7635),x7635),f46(x7633,f46(x7632,f41(f53(x7635,a1)),x7635),x7635))
% 18.89/19.02 [784]~P7(x7842,x7845,x7846)+P7(f45(x7841,x7842),x7843,x7844)+~P9(f47(x7841,x7845,x7846,x7844),x7843,f53(x7844,a1))
% 18.89/19.02 [856]~P6(x8562,x8563,x8564,x8565)+P6(f18(x8562,x8566,x8561,x8564,x8565),x8563,x8564,x8565)+P7(x8561,f47(x8562,x8563,x8564,x8565),x8565)
% 18.89/19.02 [848]E(x8481,f45(a40,x8482))+~P7(x8483,a42,f50(a2))+~P7(f16(a26,x8482,f30(x8481,f34(x8484,f34(f28(x8485),f34(f45(a33,x8486),x8487))))),f24(x8483,a2),a2)
% 18.89/19.02 [850]~P7(x8505,a42,f50(a2))+E(x8501,f30(f45(a40,x8502),f34(f45(a33,x8503),f28(x8504))))+~P7(f16(a26,x8504,f30(x8506,f34(x8507,f34(f28(x8502),f34(f45(a33,x8503),x8501))))),f24(x8505,a2),a2)
% 18.89/19.02 [859]~P7(x8591,a42,f50(a2))+~P7(x8592,f47(a40,f43(f53(a49,a1)),a49,a52),a52)+~P7(f16(a26,x8593,f30(x8594,f34(x8595,f34(f28(x8596),f34(f45(a33,x8592),x8597))))),f24(x8591,a2),a2)
% 18.89/19.02 [711]~P7(x7111,a36,a52)+P7(f45(a33,x7111),f13(x7112),a51)+~P7(x7112,a42,f50(a2))+~P7(x7111,f29(f27(f14(a25,x7112))),a52)
% 18.89/19.02 [516]~P9(x5162,x5161,x5163)+~P9(x5161,x5162,x5163)+E(x5161,x5162)+~P12(x5163)
% 18.89/19.02 [668]~P7(f30(x6683,x6681),f23(x6682),a51)+P7(x6681,f23(x6682),a51)+~P7(x6683,a36,a52)+~P7(f45(a33,x6683),f23(x6682),a51)
% 18.89/19.02 [710]~P7(f45(a33,x7103),f23(x7102),a51)+~P7(f30(x7103,x7101),f35(f23(x7102)),a51)+P7(x7101,f35(f23(x7102)),a51)+~P7(f45(a33,f22(x7103)),f23(x7102),a51)
% 18.89/19.02 [724]P7(x7241,f35(f23(x7242)),a51)+~P7(x7243,f35(f23(x7242)),a51)+~P7(f32(f34(x7241,x7243)),f23(x7242),a51)+P7(f34(f32(f34(x7241,x7243)),x7243),f35(f23(x7242)),a51)
% 18.89/19.02 [566]~P12(x5663)+~P9(x5661,x5664,x5663)+P9(x5661,x5662,x5663)+~P9(x5664,x5662,x5663)
% 18.89/19.02 [567]~P17(x5673)+~P9(x5671,x5674,x5673)+P9(x5671,x5672,x5673)+~P9(x5674,x5672,x5673)
% 18.89/19.02 [592]P7(x5923,x5921,x5924)+E(x5921,x5922)+P7(x5923,x5922,x5924)+~E(f46(x5923,x5921,x5924),f46(x5923,x5922,x5924))
% 18.89/19.02 [635]~P1(x6354)+~P9(x6351,x6353,x6354)+~P9(x6351,x6352,x6354)+P9(x6351,f12(x6352,x6353,x6354),x6354)
% 18.89/19.02 [638]~P11(x6383)+~P9(x6382,x6384,x6383)+~P9(x6381,x6384,x6383)+P9(f11(x6381,x6382,x6383),x6384,x6383)
% 18.89/19.02 [754]~P9(x7543,x7542,f53(a51,a1))+P7(f45(a33,x7541),f23(x7542),a51)+~P7(x7544,f35(f23(x7543)),a51)+~P7(f45(a33,x7541),f23(f46(x7544,x7542,a51)),a51)
% 18.89/19.02 [812]~P7(x8124,f35(f23(x8122)),a51)+P7(f45(a33,f22(x8121)),f27(x8122),a51)+~P7(x8121,f29(f27(f46(x8124,x8123,a51))),a52)+P7(x8121,f29(f27(f11(x8123,x8122,f53(a51,a1)))),a52)
% 18.89/19.02 [614]~P15(x6143)+~P9(x6145,x6144,x6143)+P9(x6141,x6142,x6143)+~E(f17(x6144,x6145,x6143),f17(x6142,x6141,x6143))
% 18.89/19.02 [615]~P15(x6153)+~P9(x6155,x6154,x6153)+P9(x6151,x6152,x6153)+~E(f17(x6152,x6151,x6153),f17(x6154,x6155,x6153))
% 18.89/19.02 [860]~P6(x8602,x8601,x8604,x8604)+~P6(x8603,x8601,x8604,x8605)+P6(x8603,f47(x8602,x8601,x8604,x8604),x8604,x8605)+P7(f9(x8601,x8602,x8603,x8604,x8605),x8601,x8604)
% 18.89/19.02 [864]~P6(x8645,x8642,x8643,x8643)+P6(x8641,x8642,x8643,x8644)+~P6(x8641,f47(x8645,x8642,x8643,x8643),x8643,x8644)+P7(f9(x8642,x8645,x8641,x8643,x8644),x8642,x8643)
% 18.89/19.02 [858]~P6(x8581,x8583,x8584,x8585)+~P6(x8581,x8582,x8584,x8585)+P6(x8581,f11(x8582,x8583,f53(x8584,a1)),x8584,x8585)+~E(f12(f47(x8581,f17(x8582,x8583,f53(x8584,a1)),x8584,x8585),f47(x8581,f17(x8583,x8582,f53(x8584,a1)),x8584,x8585),f53(x8585,a1)),f41(f53(x8585,a1)))
% 18.89/19.02 [841]~P6(x8412,x8411,x8413,x8414)+~P7(x8415,f47(x8412,x8411,x8413,x8414),x8414)+~P9(x8411,x8416,f53(x8413,a1))+P7(f45(f19(x8411,x8412,x8413,x8414),x8415),x8416,x8413)
% 18.89/19.02 [853]E(x8531,x8532)+~P7(x8532,f47(x8534,x8533,x8535,x8536),x8536)+~P7(x8531,f47(x8534,x8533,x8535,x8536),x8536)+~E(f45(f20(x8533,x8534,x8535,x8536),x8531),f45(f20(x8533,x8534,x8535,x8536),x8532))
% 18.89/19.02 [832]~P6(x8321,x8326,x8323,x8324)+~P9(x8322,x8326,f53(x8323,a1))+~P9(x8325,x8326,f53(x8323,a1))+E(f12(f47(x8321,x8322,x8323,x8324),f47(x8321,x8325,x8323,x8324),f53(x8324,a1)),f47(x8321,f12(x8322,x8325,f53(x8323,a1)),x8323,x8324))
% 18.89/19.02 [833]~P6(x8331,x8336,x8333,x8334)+~P9(x8332,x8336,f53(x8333,a1))+~P9(x8335,x8336,f53(x8333,a1))+E(f17(f47(x8331,x8332,x8333,x8334),f47(x8331,x8335,x8333,x8334),f53(x8334,a1)),f47(x8331,f17(x8332,x8335,f53(x8333,a1)),x8333,x8334))
% 18.89/19.02 [820]P7(x8204,a4,a49)+~P7(x8205,a42,f50(a2))+E(x8201,f30(f45(a40,x8202),f34(f45(a33,x8203),f28(x8204))))+~P7(f30(f45(a40,x8204),f34(x8206,f34(f28(x8202),f34(f45(a33,x8203),x8201)))),f27(f14(a25,x8205)),a51)
% 18.89/19.02 [847]P7(x8471,a4,a49)+~P7(x8472,a42,f50(a2))+~P7(x8473,f47(a40,f43(f53(a49,a1)),a49,a52),a52)+~P7(f30(f45(a40,x8471),f34(x8474,f34(f28(x8475),f34(f45(a33,x8473),x8476)))),f27(f14(a25,x8472)),a51)
% 18.89/19.02 [855]P7(x8551,a4,a49)+~P7(x8556,a42,f50(a2))+~P7(f30(f45(a40,x8551),f34(x8552,f34(f28(x8553),f34(f45(a33,x8554),x8555)))),f27(f14(a25,x8556)),a51)+P7(f16(a26,x8551,f30(f45(a40,x8551),f34(x8552,f34(f28(x8553),f34(f45(a33,x8554),x8555))))),f24(x8556,a2),a2)
% 18.89/19.02 [854]~P7(x8545,a42,f50(a2))+P7(x8541,f23(f14(a25,x8545)),a51)+E(x8541,f30(f45(a40,x8542),f34(f45(a33,x8543),f28(x8544))))+~P7(f16(x8546,x8544,f30(f45(a40,x8544),f34(f31(x8547),f34(f28(x8542),f34(f45(a33,x8543),x8541))))),f24(x8545,a2),a2)
% 18.89/19.02 [862]~P7(x8622,a42,f50(a2))+P7(x8621,f23(f14(a25,x8622)),a51)+~P7(x8623,f47(a40,f43(f53(a49,a1)),a49,a52),a52)+~P7(f16(x8624,x8625,f30(f45(a40,x8625),f34(f31(x8626),f34(f28(x8627),f34(f45(a33,x8623),x8621))))),f24(x8622,a2),a2)
% 18.89/19.02 [866]~P5(x8664)+~P7(f16(x8665,x8666,f30(x8663,f31(x8662))),f24(x8664,a2),a2)+~P7(f16(a26,x8666,f30(f45(a40,x8666),f34(f31(x8661),f34(f28(x8665),f34(f45(a33,x8663),x8667))))),f24(x8664,a2),a2)+P5(f21(f15(a25,f34(f31(x8661),f34(f31(x8662),f45(a33,x8663)))),x8664,a2))
% 18.89/19.02 [869]~P7(x8694,a42,f50(a2))+~P7(f16(x8695,x8696,f30(x8693,f31(x8692))),f24(x8694,a2),a2)+P7(f21(f15(a25,f34(f31(x8691),f34(f31(x8692),f45(a33,x8693)))),x8694,a2),a42,f50(a2))+~P7(f16(a26,x8696,f30(f45(a40,x8696),f34(f31(x8691),f34(f28(x8695),f34(f45(a33,x8693),x8697))))),f24(x8694,a2),a2)
% 18.89/19.02 [734]~P7(x7341,x7344,x7345)+E(x7341,x7342)+~P6(x7343,x7344,x7345,x7346)+~P7(x7342,x7344,x7345)+~E(f45(x7343,x7341),f45(x7343,x7342))
% 18.89/19.02 [816]~P5(x8162)+~P7(x8165,a36,a52)+P7(f31(x8161),f13(x8162),a51)+~P7(f16(x8166,x8163,f30(f45(a40,x8163),f34(f45(a33,x8165),f28(x8164)))),f24(x8162,a2),a2)+P5(f21(f16(x8163,x8164,f30(x8165,f31(x8161))),x8162,a2))
% 18.89/19.02 [821]~P7(x8215,a36,a52)+P7(f31(x8211),f13(x8212),a51)+~P7(x8212,a42,f50(a2))+~P7(f16(x8216,x8213,f30(f45(a40,x8213),f34(f45(a33,x8215),f28(x8214)))),f24(x8212,a2),a2)+P7(f21(f16(x8213,x8214,f30(x8215,f31(x8211))),x8212,a2),a42,f50(a2))
% 18.89/19.02 [872]~P5(x8722)+~P7(x8721,a36,a52)+P7(f45(a33,x8721),f13(x8722),a51)+~P7(f16(x8726,a26,f34(f28(x8723),f34(f28(x8725),f31(x8724)))),f24(x8722,a2),a2)+P5(f21(f16(a26,x8723,f30(f45(a40,x8723),f34(f31(x8724),f34(f28(x8725),f34(f45(a33,x8721),f30(f45(a40,x8725),f34(f45(a33,x8721),f28(x8723)))))))),x8722,a2))
% 18.89/19.02 [873]~P7(x8731,a36,a52)+P7(f45(a33,x8731),f13(x8732),a51)+~P7(x8732,a42,f50(a2))+~P7(f16(x8736,a26,f34(f28(x8733),f34(f28(x8735),f31(x8734)))),f24(x8732,a2),a2)+P7(f21(f16(a26,x8733,f30(f45(a40,x8733),f34(f31(x8734),f34(f28(x8735),f34(f45(a33,x8731),f30(f45(a40,x8735),f34(f45(a33,x8731),f28(x8733)))))))),x8732,a2),a42,f50(a2))
% 18.89/19.02 [861]~P5(x8614)+E(x8611,a26)+~P7(f16(x8611,a26,f34(f28(x8611),f34(f28(x8612),f31(x8615)))),f24(x8614,a2),a2)+P5(f21(f16(x8611,x8612,x8613),x8614,a2))+~P7(f16(x8616,x8611,f30(f45(a40,x8611),f34(f31(x8615),f34(f28(x8612),f34(f45(a33,x8617),x8613))))),f24(x8614,a2),a2)
% 18.89/19.02 [863]E(x8631,a26)+~P7(x8634,a42,f50(a2))+P7(f21(f16(x8631,x8632,x8633),x8634,a2),a42,f50(a2))+~P7(f16(x8631,a26,f34(f28(x8631),f34(f28(x8632),f31(x8635)))),f24(x8634,a2),a2)+~P7(f16(x8636,x8631,f30(f45(a40,x8631),f34(f31(x8635),f34(f28(x8632),f34(f45(a33,x8637),x8633))))),f24(x8634,a2),a2)
% 18.89/19.02 [865]~P5(x8655)+~P7(x8653,a36,a52)+~P7(f16(x8656,x8651,f30(x8653,f31(x8654))),f24(x8655,a2),a2)+~P7(f16(x8657,x8651,f30(f45(a40,x8651),f34(f31(x8658),f34(f28(x8652),f34(f45(a33,x8653),x8659))))),f24(x8655,a2),a2)+P5(f21(f16(x8651,x8652,f30(x8653,f34(f31(x8654),f31(x8654)))),x8655,a2))
% 18.89/19.02 [868]~P7(x8683,a36,a52)+~P7(x8685,a42,f50(a2))+~P7(f16(x8686,x8681,f30(x8683,f31(x8684))),f24(x8685,a2),a2)+P7(f21(f16(x8681,x8682,f30(x8683,f34(f31(x8684),f31(x8684)))),x8685,a2),a42,f50(a2))+~P7(f16(x8687,x8681,f30(f45(a40,x8681),f34(f31(x8688),f34(f28(x8682),f34(f45(a33,x8683),x8689))))),f24(x8685,a2),a2)
% 18.89/19.02 %EqnAxiom
% 18.89/19.02 [1]E(x11,x11)
% 18.89/19.02 [2]E(x22,x21)+~E(x21,x22)
% 18.89/19.02 [3]E(x31,x33)+~E(x31,x32)+~E(x32,x33)
% 18.89/19.02 [4]~E(x41,x42)+E(f3(x41),f3(x42))
% 18.89/19.02 [5]~E(x51,x52)+E(f22(x51),f22(x52))
% 18.89/19.02 [6]~E(x61,x62)+E(f45(x61,x63),f45(x62,x63))
% 18.89/19.02 [7]~E(x71,x72)+E(f45(x73,x71),f45(x73,x72))
% 18.89/19.02 [8]~E(x81,x82)+E(f23(x81),f23(x82))
% 18.89/19.02 [9]~E(x91,x92)+E(f34(x91,x93),f34(x92,x93))
% 18.89/19.02 [10]~E(x101,x102)+E(f34(x103,x101),f34(x103,x102))
% 18.89/19.02 [11]~E(x111,x112)+E(f28(x111),f28(x112))
% 18.89/19.02 [12]~E(x121,x122)+E(f27(x121),f27(x122))
% 18.89/19.02 [13]~E(x131,x132)+E(f30(x131,x133),f30(x132,x133))
% 18.89/19.02 [14]~E(x141,x142)+E(f30(x143,x141),f30(x143,x142))
% 18.89/19.02 [15]~E(x151,x152)+E(f16(x151,x153,x154),f16(x152,x153,x154))
% 18.89/19.02 [16]~E(x161,x162)+E(f16(x163,x161,x164),f16(x163,x162,x164))
% 18.89/19.02 [17]~E(x171,x172)+E(f16(x173,x174,x171),f16(x173,x174,x172))
% 18.89/19.02 [18]~E(x181,x182)+E(f35(x181),f35(x182))
% 18.89/19.02 [19]~E(x191,x192)+E(f17(x191,x193,x194),f17(x192,x193,x194))
% 18.89/19.02 [20]~E(x201,x202)+E(f17(x203,x201,x204),f17(x203,x202,x204))
% 18.89/19.02 [21]~E(x211,x212)+E(f17(x213,x214,x211),f17(x213,x214,x212))
% 18.89/19.02 [22]~E(x221,x222)+E(f53(x221,x223),f53(x222,x223))
% 18.89/19.02 [23]~E(x231,x232)+E(f53(x233,x231),f53(x233,x232))
% 18.89/19.02 [24]~E(x241,x242)+E(f41(x241),f41(x242))
% 18.89/19.02 [25]~E(x251,x252)+E(f46(x251,x253,x254),f46(x252,x253,x254))
% 18.89/19.02 [26]~E(x261,x262)+E(f46(x263,x261,x264),f46(x263,x262,x264))
% 18.89/19.02 [27]~E(x271,x272)+E(f46(x273,x274,x271),f46(x273,x274,x272))
% 18.89/19.02 [28]~E(x281,x282)+E(f47(x281,x283,x284,x285),f47(x282,x283,x284,x285))
% 18.89/19.02 [29]~E(x291,x292)+E(f47(x293,x291,x294,x295),f47(x293,x292,x294,x295))
% 18.89/19.02 [30]~E(x301,x302)+E(f47(x303,x304,x301,x305),f47(x303,x304,x302,x305))
% 18.89/19.02 [31]~E(x311,x312)+E(f47(x313,x314,x315,x311),f47(x313,x314,x315,x312))
% 18.89/19.02 [32]~E(x321,x322)+E(f12(x321,x323,x324),f12(x322,x323,x324))
% 18.89/19.02 [33]~E(x331,x332)+E(f12(x333,x331,x334),f12(x333,x332,x334))
% 18.89/19.02 [34]~E(x341,x342)+E(f12(x343,x344,x341),f12(x343,x344,x342))
% 18.89/19.02 [35]~E(x351,x352)+E(f14(x351,x353),f14(x352,x353))
% 18.89/19.02 [36]~E(x361,x362)+E(f14(x363,x361),f14(x363,x362))
% 18.89/19.02 [37]~E(x371,x372)+E(f11(x371,x373,x374),f11(x372,x373,x374))
% 18.89/19.02 [38]~E(x381,x382)+E(f11(x383,x381,x384),f11(x383,x382,x384))
% 18.89/19.02 [39]~E(x391,x392)+E(f11(x393,x394,x391),f11(x393,x394,x392))
% 18.89/19.02 [40]~E(x401,x402)+E(f31(x401),f31(x402))
% 18.89/19.02 [41]~E(x411,x412)+E(f32(x411),f32(x412))
% 18.89/19.02 [42]~E(x421,x422)+E(f13(x421),f13(x422))
% 18.89/19.02 [43]~E(x431,x432)+E(f24(x431,x433),f24(x432,x433))
% 18.89/19.02 [44]~E(x441,x442)+E(f24(x443,x441),f24(x443,x442))
% 18.89/19.02 [45]~E(x451,x452)+E(f48(x451,x453,x454,x455),f48(x452,x453,x454,x455))
% 18.89/19.02 [46]~E(x461,x462)+E(f48(x463,x461,x464,x465),f48(x463,x462,x464,x465))
% 18.89/19.02 [47]~E(x471,x472)+E(f48(x473,x474,x471,x475),f48(x473,x474,x472,x475))
% 18.89/19.02 [48]~E(x481,x482)+E(f48(x483,x484,x485,x481),f48(x483,x484,x485,x482))
% 18.89/19.02 [49]~E(x491,x492)+E(f38(x491,x493),f38(x492,x493))
% 18.89/19.02 [50]~E(x501,x502)+E(f38(x503,x501),f38(x503,x502))
% 18.89/19.02 [51]~E(x511,x512)+E(f21(x511,x513,x514),f21(x512,x513,x514))
% 18.89/19.02 [52]~E(x521,x522)+E(f21(x523,x521,x524),f21(x523,x522,x524))
% 18.89/19.02 [53]~E(x531,x532)+E(f21(x533,x534,x531),f21(x533,x534,x532))
% 18.89/19.02 [54]~E(x541,x542)+E(f43(x541),f43(x542))
% 18.89/19.02 [55]~E(x551,x552)+E(f44(x551),f44(x552))
% 18.89/19.02 [56]~E(x561,x562)+E(f18(x561,x563,x564,x565,x566),f18(x562,x563,x564,x565,x566))
% 18.89/19.02 [57]~E(x571,x572)+E(f18(x573,x571,x574,x575,x576),f18(x573,x572,x574,x575,x576))
% 18.89/19.02 [58]~E(x581,x582)+E(f18(x583,x584,x581,x585,x586),f18(x583,x584,x582,x585,x586))
% 18.89/19.02 [59]~E(x591,x592)+E(f18(x593,x594,x595,x591,x596),f18(x593,x594,x595,x592,x596))
% 18.89/19.02 [60]~E(x601,x602)+E(f18(x603,x604,x605,x606,x601),f18(x603,x604,x605,x606,x602))
% 18.89/19.02 [61]~E(x611,x612)+E(f29(x611),f29(x612))
% 18.89/19.02 [62]~E(x621,x622)+E(f50(x621),f50(x622))
% 18.89/19.02 [63]~E(x631,x632)+E(f19(x631,x633,x634,x635),f19(x632,x633,x634,x635))
% 18.89/19.02 [64]~E(x641,x642)+E(f19(x643,x641,x644,x645),f19(x643,x642,x644,x645))
% 18.89/19.02 [65]~E(x651,x652)+E(f19(x653,x654,x651,x655),f19(x653,x654,x652,x655))
% 18.89/19.02 [66]~E(x661,x662)+E(f19(x663,x664,x665,x661),f19(x663,x664,x665,x662))
% 18.89/19.02 [67]~E(x671,x672)+E(f15(x671,x673),f15(x672,x673))
% 18.89/19.02 [68]~E(x681,x682)+E(f15(x683,x681),f15(x683,x682))
% 18.89/19.02 [69]~E(x691,x692)+E(f39(x691,x693),f39(x692,x693))
% 18.89/19.02 [70]~E(x701,x702)+E(f39(x703,x701),f39(x703,x702))
% 18.89/19.02 [71]~E(x711,x712)+E(f20(x711,x713,x714,x715),f20(x712,x713,x714,x715))
% 18.89/19.02 [72]~E(x721,x722)+E(f20(x723,x721,x724,x725),f20(x723,x722,x724,x725))
% 18.89/19.02 [73]~E(x731,x732)+E(f20(x733,x734,x731,x735),f20(x733,x734,x732,x735))
% 18.89/19.02 [74]~E(x741,x742)+E(f20(x743,x744,x745,x741),f20(x743,x744,x745,x742))
% 18.89/19.02 [75]~E(x751,x752)+E(f37(x751,x753),f37(x752,x753))
% 18.89/19.02 [76]~E(x761,x762)+E(f37(x763,x761),f37(x763,x762))
% 18.89/19.02 [77]~E(x771,x772)+E(f5(x771,x773,x774),f5(x772,x773,x774))
% 18.89/19.02 [78]~E(x781,x782)+E(f5(x783,x781,x784),f5(x783,x782,x784))
% 18.89/19.02 [79]~E(x791,x792)+E(f5(x793,x794,x791),f5(x793,x794,x792))
% 18.89/19.02 [80]~E(x801,x802)+E(f8(x801,x803,x804,x805),f8(x802,x803,x804,x805))
% 18.89/19.02 [81]~E(x811,x812)+E(f8(x813,x811,x814,x815),f8(x813,x812,x814,x815))
% 18.89/19.02 [82]~E(x821,x822)+E(f8(x823,x824,x821,x825),f8(x823,x824,x822,x825))
% 18.89/19.02 [83]~E(x831,x832)+E(f8(x833,x834,x835,x831),f8(x833,x834,x835,x832))
% 18.89/19.02 [84]~E(x841,x842)+E(f7(x841,x843,x844,x845),f7(x842,x843,x844,x845))
% 18.89/19.02 [85]~E(x851,x852)+E(f7(x853,x851,x854,x855),f7(x853,x852,x854,x855))
% 18.89/19.02 [86]~E(x861,x862)+E(f7(x863,x864,x861,x865),f7(x863,x864,x862,x865))
% 18.89/19.02 [87]~E(x871,x872)+E(f7(x873,x874,x875,x871),f7(x873,x874,x875,x872))
% 18.89/19.02 [88]~E(x881,x882)+E(f6(x881,x883,x884,x885),f6(x882,x883,x884,x885))
% 18.89/19.02 [89]~E(x891,x892)+E(f6(x893,x891,x894,x895),f6(x893,x892,x894,x895))
% 18.89/19.02 [90]~E(x901,x902)+E(f6(x903,x904,x901,x905),f6(x903,x904,x902,x905))
% 18.89/19.02 [91]~E(x911,x912)+E(f6(x913,x914,x915,x911),f6(x913,x914,x915,x912))
% 18.89/19.02 [92]~E(x921,x922)+E(f10(x921,x923,x924,x925,x926),f10(x922,x923,x924,x925,x926))
% 18.89/19.02 [93]~E(x931,x932)+E(f10(x933,x931,x934,x935,x936),f10(x933,x932,x934,x935,x936))
% 18.89/19.02 [94]~E(x941,x942)+E(f10(x943,x944,x941,x945,x946),f10(x943,x944,x942,x945,x946))
% 18.89/19.02 [95]~E(x951,x952)+E(f10(x953,x954,x955,x951,x956),f10(x953,x954,x955,x952,x956))
% 18.89/19.02 [96]~E(x961,x962)+E(f10(x963,x964,x965,x966,x961),f10(x963,x964,x965,x966,x962))
% 18.89/19.02 [97]~E(x971,x972)+E(f9(x971,x973,x974,x975,x976),f9(x972,x973,x974,x975,x976))
% 18.89/19.02 [98]~E(x981,x982)+E(f9(x983,x981,x984,x985,x986),f9(x983,x982,x984,x985,x986))
% 18.89/19.02 [99]~E(x991,x992)+E(f9(x993,x994,x991,x995,x996),f9(x993,x994,x992,x995,x996))
% 18.89/19.02 [100]~E(x1001,x1002)+E(f9(x1003,x1004,x1005,x1001,x1006),f9(x1003,x1004,x1005,x1002,x1006))
% 18.89/19.02 [101]~E(x1011,x1012)+E(f9(x1013,x1014,x1015,x1016,x1011),f9(x1013,x1014,x1015,x1016,x1012))
% 18.89/19.02 [102]~P1(x1021)+P1(x1022)+~E(x1021,x1022)
% 18.89/19.02 [103]P7(x1032,x1033,x1034)+~E(x1031,x1032)+~P7(x1031,x1033,x1034)
% 18.89/19.02 [104]P7(x1043,x1042,x1044)+~E(x1041,x1042)+~P7(x1043,x1041,x1044)
% 18.89/19.02 [105]P7(x1053,x1054,x1052)+~E(x1051,x1052)+~P7(x1053,x1054,x1051)
% 18.89/19.02 [106]~P2(x1061)+P2(x1062)+~E(x1061,x1062)
% 18.89/19.02 [107]P9(x1072,x1073,x1074)+~E(x1071,x1072)+~P9(x1071,x1073,x1074)
% 18.89/19.02 [108]P9(x1083,x1082,x1084)+~E(x1081,x1082)+~P9(x1083,x1081,x1084)
% 18.89/19.02 [109]P9(x1093,x1094,x1092)+~E(x1091,x1092)+~P9(x1093,x1094,x1091)
% 18.89/19.02 [110]~P3(x1101)+P3(x1102)+~E(x1101,x1102)
% 18.89/19.02 [111]~P11(x1111)+P11(x1112)+~E(x1111,x1112)
% 18.89/19.02 [112]P6(x1122,x1123,x1124,x1125)+~E(x1121,x1122)+~P6(x1121,x1123,x1124,x1125)
% 18.89/19.02 [113]P6(x1133,x1132,x1134,x1135)+~E(x1131,x1132)+~P6(x1133,x1131,x1134,x1135)
% 18.89/19.02 [114]P6(x1143,x1144,x1142,x1145)+~E(x1141,x1142)+~P6(x1143,x1144,x1141,x1145)
% 18.89/19.02 [115]P6(x1153,x1154,x1155,x1152)+~E(x1151,x1152)+~P6(x1153,x1154,x1155,x1151)
% 18.89/19.02 [116]~P19(x1161)+P19(x1162)+~E(x1161,x1162)
% 18.89/19.02 [117]~P12(x1171)+P12(x1172)+~E(x1171,x1172)
% 18.89/19.02 [118]~P10(x1181)+P10(x1182)+~E(x1181,x1182)
% 18.89/19.02 [119]~P17(x1191)+P17(x1192)+~E(x1191,x1192)
% 18.89/19.02 [120]~P13(x1201)+P13(x1202)+~E(x1201,x1202)
% 18.89/19.02 [121]~P4(x1211)+P4(x1212)+~E(x1211,x1212)
% 18.89/19.02 [122]~P5(x1221)+P5(x1222)+~E(x1221,x1222)
% 18.89/19.02 [123]~P18(x1231)+P18(x1232)+~E(x1231,x1232)
% 18.89/19.02 [124]~P14(x1241)+P14(x1242)+~E(x1241,x1242)
% 18.89/19.02 [125]~P15(x1251)+P15(x1252)+~E(x1251,x1252)
% 18.89/19.02 [126]P8(x1262,x1263,x1264)+~E(x1261,x1262)+~P8(x1261,x1263,x1264)
% 18.89/19.02 [127]P8(x1273,x1272,x1274)+~E(x1271,x1272)+~P8(x1273,x1271,x1274)
% 18.89/19.02 [128]P8(x1283,x1284,x1282)+~E(x1281,x1282)+~P8(x1283,x1284,x1281)
% 18.89/19.02 [129]~P16(x1291)+P16(x1292)+~E(x1291,x1292)
% 18.89/19.02
% 18.89/19.02 %-------------------------------------------
% 18.89/19.05 cnf(874,plain,
% 18.89/19.05 (E(f41(f53(a51,a1)),f23(f41(f53(a51,a1))))),
% 18.89/19.05 inference(scs_inference,[],[165,2])).
% 18.89/19.05 cnf(875,plain,
% 18.89/19.05 (~P8(a26,a25,x8751)),
% 18.89/19.05 inference(scs_inference,[],[344,165,2,458])).
% 18.89/19.05 cnf(877,plain,
% 18.89/19.05 (~P7(f45(a33,a56),f14(a25,a54),a51)),
% 18.89/19.05 inference(scs_inference,[],[344,403,165,2,458,477])).
% 18.89/19.05 cnf(879,plain,
% 18.89/19.05 (~E(a40,f44(x8791))),
% 18.89/19.05 inference(scs_inference,[],[344,403,165,375,2,458,477,6])).
% 18.89/19.05 cnf(881,plain,
% 18.89/19.05 (P7(f30(a55,a57),f13(a54),a51)),
% 18.89/19.05 inference(scs_inference,[],[344,181,403,165,375,2,458,477,6,556])).
% 18.89/19.05 cnf(883,plain,
% 18.89/19.05 (~P7(f45(a33,a56),f23(f14(a25,a54)),a51)),
% 18.89/19.05 inference(scs_inference,[],[344,181,403,165,375,2,458,477,6,556,486])).
% 18.89/19.05 cnf(885,plain,
% 18.89/19.05 (~P7(x8851,f41(f53(x8852,a1)),x8853)),
% 18.89/19.05 inference(scs_inference,[],[344,181,403,165,375,405,2,458,477,6,556,486,468])).
% 18.89/19.05 cnf(887,plain,
% 18.89/19.05 (P7(x8871,f46(x8871,x8872,x8873),x8874)),
% 18.89/19.05 inference(scs_inference,[],[344,181,403,165,236,375,405,2,458,477,6,556,486,468,459])).
% 18.89/19.05 cnf(889,plain,
% 18.89/19.05 (~E(f47(x8891,f21(x8892,f41(f53(x8893,a1)),x8894),x8893,x8895),f41(f53(x8895,a1)))),
% 18.89/19.05 inference(scs_inference,[],[344,181,403,165,382,236,375,405,2,458,477,6,556,486,468,459,692])).
% 18.89/19.05 cnf(890,plain,
% 18.89/19.05 (~E(f21(x8901,x8902,x8903),x8902)),
% 18.89/19.05 inference(rename_variables,[],[382])).
% 18.89/19.05 cnf(894,plain,
% 18.89/19.05 (P7(x8941,f27(f46(x8941,x8942,a51)),a51)),
% 18.89/19.05 inference(scs_inference,[],[344,181,403,165,382,174,236,375,405,2,458,477,6,556,486,468,459,692,665,642])).
% 18.89/19.05 cnf(895,plain,
% 18.89/19.05 (P9(x8951,f27(x8951),f53(a51,a1))),
% 18.89/19.05 inference(rename_variables,[],[174])).
% 18.89/19.05 cnf(897,plain,
% 18.89/19.05 (~P9(f21(x8971,f41(f53(x8972,a1)),x8973),f41(f53(x8972,a1)),f53(x8972,a1))),
% 18.89/19.05 inference(scs_inference,[],[344,181,403,165,382,890,174,236,375,405,2,458,477,6,556,486,468,459,692,665,642,564])).
% 18.89/19.05 cnf(898,plain,
% 18.89/19.05 (~E(f21(x8981,x8982,x8983),x8982)),
% 18.89/19.05 inference(rename_variables,[],[382])).
% 18.89/19.05 cnf(900,plain,
% 18.89/19.05 (~P7(f30(x9001,f45(a33,a56)),f27(f14(a25,a54)),a51)),
% 18.89/19.05 inference(scs_inference,[],[344,181,403,165,382,890,174,236,375,405,2,458,477,6,556,486,468,459,692,665,642,564,527])).
% 18.89/19.05 cnf(902,plain,
% 18.89/19.05 (~P7(f34(f45(a33,a56),x9021),f27(f14(a25,a54)),a51)),
% 18.89/19.05 inference(scs_inference,[],[344,181,403,165,382,890,174,236,375,405,2,458,477,6,556,486,468,459,692,665,642,564,527,526])).
% 18.89/19.05 cnf(904,plain,
% 18.89/19.05 (~P7(f34(x9041,f45(a33,a56)),f27(f14(a25,a54)),a51)),
% 18.89/19.05 inference(scs_inference,[],[344,181,403,165,382,890,174,236,375,405,2,458,477,6,556,486,468,459,692,665,642,564,527,526,525])).
% 18.89/19.05 cnf(906,plain,
% 18.89/19.05 (~P7(f34(f45(a33,a56),x9061),f23(f14(a25,a54)),a51)),
% 18.89/19.05 inference(scs_inference,[],[344,181,403,165,382,890,174,236,375,405,2,458,477,6,556,486,468,459,692,665,642,564,527,526,525,524])).
% 18.89/19.05 cnf(908,plain,
% 18.89/19.05 (~P7(f34(x9081,f45(a33,a56)),f23(f14(a25,a54)),a51)),
% 18.89/19.05 inference(scs_inference,[],[344,181,403,165,382,890,174,236,375,405,2,458,477,6,556,486,468,459,692,665,642,564,527,526,525,524,523])).
% 18.89/19.05 cnf(912,plain,
% 18.89/19.05 (~P7(f34(x9121,f31(x9122)),f13(f3(a2)),a51)),
% 18.89/19.05 inference(scs_inference,[],[344,181,403,165,382,890,174,236,390,375,405,2,458,477,6,556,486,468,459,692,665,642,564,527,526,525,524,523,522,521])).
% 18.89/19.05 cnf(914,plain,
% 18.89/19.05 (~P7(x9141,f27(f27(f41(f53(a51,a1)))),a51)),
% 18.89/19.05 inference(scs_inference,[],[344,181,403,408,165,382,890,174,236,390,375,405,2,458,477,6,556,486,468,459,692,665,642,564,527,526,525,524,523,522,521,506])).
% 18.89/19.05 cnf(915,plain,
% 18.89/19.05 (~P7(x9151,f27(f41(f53(a51,a1))),a51)),
% 18.89/19.05 inference(rename_variables,[],[408])).
% 18.89/19.05 cnf(918,plain,
% 18.89/19.05 (~P7(x9181,f27(f41(f53(a51,a1))),a51)),
% 18.89/19.05 inference(rename_variables,[],[408])).
% 18.89/19.05 cnf(921,plain,
% 18.89/19.05 (P7(f28(x9211),f35(x9212),a51)),
% 18.89/19.05 inference(rename_variables,[],[164])).
% 18.89/19.05 cnf(924,plain,
% 18.89/19.05 (P9(x9241,f27(x9241),f53(a51,a1))),
% 18.89/19.05 inference(rename_variables,[],[174])).
% 18.89/19.05 cnf(927,plain,
% 18.89/19.05 (P9(x9271,f27(x9271),f53(a51,a1))),
% 18.89/19.05 inference(rename_variables,[],[174])).
% 18.89/19.05 cnf(929,plain,
% 18.89/19.05 (P9(f12(x9291,f12(x9292,x9293,f53(x9294,a1)),f53(x9294,a1)),x9292,f53(x9294,a1))),
% 18.89/19.05 inference(scs_inference,[],[344,181,403,408,915,165,382,890,174,895,924,164,236,231,390,375,405,2,458,477,6,556,486,468,459,692,665,642,564,527,526,525,524,523,522,521,506,490,795,687,686,685])).
% 18.89/19.05 cnf(930,plain,
% 18.89/19.05 (P9(f12(x9301,x9302,f53(x9303,a1)),x9302,f53(x9303,a1))),
% 18.89/19.05 inference(rename_variables,[],[231])).
% 18.89/19.05 cnf(932,plain,
% 18.89/19.05 (P9(f12(x9321,f12(x9322,x9323,f53(x9324,a1)),f53(x9324,a1)),x9323,f53(x9324,a1))),
% 18.89/19.05 inference(scs_inference,[],[344,181,403,408,915,165,382,890,174,895,924,164,236,231,930,390,375,405,2,458,477,6,556,486,468,459,692,665,642,564,527,526,525,524,523,522,521,506,490,795,687,686,685,684])).
% 18.89/19.05 cnf(933,plain,
% 18.89/19.05 (P9(f12(x9331,x9332,f53(x9333,a1)),x9332,f53(x9333,a1))),
% 18.89/19.05 inference(rename_variables,[],[231])).
% 18.89/19.05 cnf(936,plain,
% 18.89/19.05 (P9(x9361,f27(x9361),f53(a51,a1))),
% 18.89/19.05 inference(rename_variables,[],[174])).
% 18.89/19.05 cnf(945,plain,
% 18.89/19.05 (P7(f28(x9451),f35(x9452),a51)),
% 18.89/19.05 inference(rename_variables,[],[164])).
% 18.89/19.05 cnf(956,plain,
% 18.89/19.05 (P9(x9561,x9561,f53(x9562,a1))),
% 18.89/19.05 inference(rename_variables,[],[169])).
% 18.89/19.05 cnf(959,plain,
% 18.89/19.05 (P9(x9591,x9591,f53(x9592,a1))),
% 18.89/19.05 inference(rename_variables,[],[169])).
% 18.89/19.05 cnf(962,plain,
% 18.89/19.05 (~P7(x9621,f27(f41(f53(a51,a1))),a51)),
% 18.89/19.05 inference(rename_variables,[],[408])).
% 18.89/19.05 cnf(964,plain,
% 18.89/19.05 (P6(f20(x9641,x9642,x9643,x9644),f47(x9642,x9641,x9643,x9644),x9644,x9643)),
% 18.89/19.05 inference(scs_inference,[],[344,181,403,408,915,918,165,169,956,959,382,890,174,895,924,927,936,354,164,921,236,231,930,390,375,405,239,2,458,477,6,556,486,468,459,692,665,642,564,527,526,525,524,523,522,521,506,490,795,687,686,685,684,655,600,826,775,729,817,794,670,570,728,727,827,813])).
% 18.89/19.05 cnf(965,plain,
% 18.89/19.05 (P9(x9651,x9651,f53(x9652,a1))),
% 18.89/19.05 inference(rename_variables,[],[169])).
% 18.89/19.05 cnf(967,plain,
% 18.89/19.05 (E(f45(x9671,f6(f45(x9671,x9672),x9671,x9673,x9674)),f45(x9671,x9672))),
% 18.89/19.05 inference(scs_inference,[],[344,181,403,408,915,918,165,169,956,959,382,890,174,895,924,927,936,354,164,921,236,231,930,390,375,405,307,239,2,458,477,6,556,486,468,459,692,665,642,564,527,526,525,524,523,522,521,506,490,795,687,686,685,684,655,600,826,775,729,817,794,670,570,728,727,827,813,806])).
% 18.89/19.05 cnf(970,plain,
% 18.89/19.05 (~E(f45(a33,x9701),f28(x9702))),
% 18.89/19.05 inference(rename_variables,[],[354])).
% 18.89/19.05 cnf(974,plain,
% 18.89/19.05 (E(f22(f22(x9741)),x9741)),
% 18.89/19.05 inference(rename_variables,[],[150])).
% 18.89/19.05 cnf(975,plain,
% 18.89/19.05 (~P19(f45(f41(f53(x9751,a1)),x9752))),
% 18.89/19.05 inference(rename_variables,[],[405])).
% 18.89/19.05 cnf(976,plain,
% 18.89/19.05 (P6(f20(x9761,x9762,f23(f41(f53(a51,a1))),x9763),f47(x9762,x9761,f23(f41(f53(a51,a1))),x9763),x9763,f41(f53(a51,a1)))),
% 18.89/19.05 inference(scs_inference,[],[160,344,181,403,408,915,918,165,169,956,959,382,890,174,895,924,927,936,354,164,921,150,236,231,930,390,375,405,307,239,2,458,477,6,556,486,468,459,692,665,642,564,527,526,525,524,523,522,521,506,490,795,687,686,685,684,655,600,826,775,729,817,794,670,570,728,727,827,813,806,825,126,116,115])).
% 18.89/19.05 cnf(980,plain,
% 18.89/19.05 (P9(x9801,f27(x9801),f53(a51,a1))),
% 18.89/19.05 inference(rename_variables,[],[174])).
% 18.89/19.05 cnf(982,plain,
% 18.89/19.05 (P9(x9821,x9821,f53(x9822,a1))),
% 18.89/19.05 inference(rename_variables,[],[169])).
% 18.89/19.05 cnf(986,plain,
% 18.89/19.05 (~P7(x9861,f41(f53(x9862,a1)),x9862)),
% 18.89/19.05 inference(rename_variables,[],[402])).
% 18.89/19.05 cnf(988,plain,
% 18.89/19.05 (P7(x9881,f46(x9881,x9882,x9883),x9883)),
% 18.89/19.05 inference(rename_variables,[],[212])).
% 18.89/19.05 cnf(990,plain,
% 18.89/19.05 (~E(f21(x9901,x9902,x9903),x9902)),
% 18.89/19.05 inference(rename_variables,[],[382])).
% 18.89/19.05 cnf(991,plain,
% 18.89/19.05 (P6(x9911,f12(x9912,f41(f53(f23(f41(f53(a51,a1))),a1)),f53(f23(f41(f53(a51,a1))),a1)),f23(f41(f53(a51,a1))),x9913)),
% 18.89/19.05 inference(scs_inference,[],[161,160,344,181,403,408,915,918,165,212,169,956,959,965,382,890,898,174,895,924,927,936,242,354,164,921,180,402,150,236,231,930,933,390,375,405,307,158,239,2,458,477,6,556,486,468,459,692,665,642,564,527,526,525,524,523,522,521,506,490,795,687,686,685,684,655,600,826,775,729,817,794,670,570,728,727,827,813,806,825,126,116,115,114,113,108,107,105,104,103,3,753])).
% 18.89/19.05 cnf(992,plain,
% 18.89/19.05 (P9(f12(x9921,x9922,f53(x9923,a1)),x9922,f53(x9923,a1))),
% 18.89/19.05 inference(rename_variables,[],[231])).
% 18.89/19.05 cnf(993,plain,
% 18.89/19.05 (P6(x9931,f41(f53(x9932,a1)),x9932,x9933)),
% 18.89/19.05 inference(rename_variables,[],[242])).
% 18.89/19.05 cnf(999,plain,
% 18.89/19.05 (P9(x9991,f27(x9991),f53(a51,a1))),
% 18.89/19.05 inference(rename_variables,[],[174])).
% 18.89/19.05 cnf(1002,plain,
% 18.89/19.05 (~P9(f14(a25,a54),f27(f41(f53(a51,a1))),f53(a51,a1))),
% 18.89/19.05 inference(scs_inference,[],[161,160,344,181,403,408,915,918,962,165,212,169,956,959,965,382,890,898,174,895,924,927,936,980,216,242,354,164,921,180,402,150,236,231,930,933,188,390,375,405,307,158,239,2,458,477,6,556,486,468,459,692,665,642,564,527,526,525,524,523,522,521,506,490,795,687,686,685,684,655,600,826,775,729,817,794,670,570,728,727,827,813,806,825,126,116,115,114,113,108,107,105,104,103,3,753,583,572,591])).
% 18.89/19.05 cnf(1003,plain,
% 18.89/19.05 (~P7(x10031,f27(f41(f53(a51,a1))),a51)),
% 18.89/19.05 inference(rename_variables,[],[408])).
% 18.89/19.05 cnf(1006,plain,
% 18.89/19.05 (P7(x10061,f46(x10061,x10062,x10063),x10063)),
% 18.89/19.05 inference(rename_variables,[],[212])).
% 18.89/19.05 cnf(1009,plain,
% 18.89/19.05 (P7(f28(x10091),f35(x10092),a51)),
% 18.89/19.05 inference(rename_variables,[],[164])).
% 18.89/19.05 cnf(1011,plain,
% 18.89/19.05 (~P7(f15(a25,f45(a33,a56)),f24(a54,a2),a2)),
% 18.89/19.05 inference(scs_inference,[],[161,160,159,344,181,403,408,915,918,962,165,212,988,169,956,959,965,382,890,898,167,174,895,924,927,936,980,216,242,354,164,921,945,180,402,150,236,231,930,933,188,390,375,405,307,158,239,2,458,477,6,556,486,468,459,692,665,642,564,527,526,525,524,523,522,521,506,490,795,687,686,685,684,655,600,826,775,729,817,794,670,570,728,727,827,813,806,825,126,116,115,114,113,108,107,105,104,103,3,753,583,572,591,584,785,613])).
% 18.89/19.05 cnf(1013,plain,
% 18.89/19.05 (~P14(f53(x10131,a1))),
% 18.89/19.05 inference(scs_inference,[],[161,160,159,344,181,403,408,915,918,962,165,212,988,169,956,959,965,382,890,898,167,174,895,924,927,936,980,216,242,354,164,921,945,180,402,150,236,231,930,933,188,395,390,375,405,307,158,239,315,2,458,477,6,556,486,468,459,692,665,642,564,527,526,525,524,523,522,521,506,490,795,687,686,685,684,655,600,826,775,729,817,794,670,570,728,727,827,813,806,825,126,116,115,114,113,108,107,105,104,103,3,753,583,572,591,584,785,613,512])).
% 18.89/19.05 cnf(1017,plain,
% 18.89/19.05 (~P9(f46(f45(x10171,x10172),x10173,x10174),f41(f53(x10175,a1)),f53(x10176,a1))),
% 18.89/19.05 inference(scs_inference,[],[161,160,159,344,181,403,408,915,918,962,165,212,988,169,956,959,965,382,890,898,167,174,895,924,927,936,980,216,242,354,164,921,945,180,402,150,236,231,930,933,188,395,390,375,405,975,307,158,239,315,2,458,477,6,556,486,468,459,692,665,642,564,527,526,525,524,523,522,521,506,490,795,687,686,685,684,655,600,826,775,729,817,794,670,570,728,727,827,813,806,825,126,116,115,114,113,108,107,105,104,103,3,753,583,572,591,584,785,613,512,530])).
% 18.89/19.05 cnf(1020,plain,
% 18.89/19.05 (P7(f28(x10201),f35(x10202),a51)),
% 18.89/19.05 inference(rename_variables,[],[164])).
% 18.89/19.05 cnf(1026,plain,
% 18.89/19.05 (P9(x10261,f27(x10261),f53(a51,a1))),
% 18.89/19.05 inference(rename_variables,[],[174])).
% 18.89/19.05 cnf(1028,plain,
% 18.89/19.05 (P7(f30(a56,f28(x10281)),f35(f27(f46(a57,f41(f53(a51,a1)),a51))),a51)),
% 18.89/19.05 inference(scs_inference,[],[161,160,159,344,181,403,408,915,918,962,165,284,212,988,169,956,959,965,382,890,898,167,174,895,924,927,936,980,999,216,242,354,164,921,945,1009,1020,180,402,150,236,231,930,933,188,395,390,375,405,975,307,158,239,315,2,458,477,6,556,486,468,459,692,665,642,564,527,526,525,524,523,522,521,506,490,795,687,686,685,684,655,600,826,775,729,817,794,670,570,728,727,827,813,806,825,126,116,115,114,113,108,107,105,104,103,3,753,583,572,591,584,785,613,512,530,751,630,784,599])).
% 18.89/19.05 cnf(1029,plain,
% 18.89/19.05 (P7(f28(x10291),f35(x10292),a51)),
% 18.89/19.05 inference(rename_variables,[],[164])).
% 18.89/19.05 cnf(1031,plain,
% 18.89/19.05 (~E(f12(f21(x10311,f43(a1),x10312),x10313,a1),f43(a1))),
% 18.89/19.05 inference(scs_inference,[],[161,160,144,159,344,181,403,408,915,918,962,165,284,212,988,169,956,959,965,382,890,898,990,167,174,895,924,927,936,980,999,216,242,354,164,921,945,1009,1020,180,402,150,236,231,930,933,188,395,390,375,405,975,307,158,239,315,2,458,477,6,556,486,468,459,692,665,642,564,527,526,525,524,523,522,521,506,490,795,687,686,685,684,655,600,826,775,729,817,794,670,570,728,727,827,813,806,825,126,116,115,114,113,108,107,105,104,103,3,753,583,572,591,584,785,613,512,530,751,630,784,599,463])).
% 18.89/19.05 cnf(1032,plain,
% 18.89/19.05 (~E(f21(x10321,x10322,x10323),x10322)),
% 18.89/19.05 inference(rename_variables,[],[382])).
% 18.89/19.05 cnf(1034,plain,
% 18.89/19.05 (~E(f11(f21(x10341,f41(a1),x10342),x10343,a1),f41(a1))),
% 18.89/19.05 inference(scs_inference,[],[161,160,144,159,344,181,403,408,915,918,962,165,284,212,988,169,956,959,965,382,890,898,990,1032,167,174,895,924,927,936,980,999,216,242,354,164,921,945,1009,1020,180,402,150,236,231,930,933,188,395,390,375,405,975,307,158,239,315,2,458,477,6,556,486,468,459,692,665,642,564,527,526,525,524,523,522,521,506,490,795,687,686,685,684,655,600,826,775,729,817,794,670,570,728,727,827,813,806,825,126,116,115,114,113,108,107,105,104,103,3,753,583,572,591,584,785,613,512,530,751,630,784,599,463,462])).
% 18.89/19.05 cnf(1035,plain,
% 18.89/19.05 (~E(f21(x10351,x10352,x10353),x10352)),
% 18.89/19.05 inference(rename_variables,[],[382])).
% 18.89/19.05 cnf(1037,plain,
% 18.89/19.05 (~E(f12(x10371,f21(x10372,f43(a1),x10373),a1),f43(a1))),
% 18.89/19.05 inference(scs_inference,[],[161,160,144,159,344,181,403,408,915,918,962,165,284,212,988,169,956,959,965,382,890,898,990,1032,1035,167,174,895,924,927,936,980,999,216,242,354,164,921,945,1009,1020,180,402,150,236,231,930,933,188,395,390,375,405,975,307,158,239,315,2,458,477,6,556,486,468,459,692,665,642,564,527,526,525,524,523,522,521,506,490,795,687,686,685,684,655,600,826,775,729,817,794,670,570,728,727,827,813,806,825,126,116,115,114,113,108,107,105,104,103,3,753,583,572,591,584,785,613,512,530,751,630,784,599,463,462,461])).
% 18.89/19.05 cnf(1038,plain,
% 18.89/19.05 (~E(f21(x10381,x10382,x10383),x10382)),
% 18.89/19.05 inference(rename_variables,[],[382])).
% 18.89/19.05 cnf(1041,plain,
% 18.89/19.05 (~E(f21(x10411,x10412,x10413),x10412)),
% 18.89/19.05 inference(rename_variables,[],[382])).
% 18.89/19.05 cnf(1043,plain,
% 18.89/19.05 (P9(f17(f46(a54,x10431,f50(a2)),a42,f53(f50(a2),a1)),x10431,f53(f50(a2),a1))),
% 18.89/19.05 inference(scs_inference,[],[161,160,144,159,344,181,403,408,915,918,962,165,284,212,988,169,956,959,965,382,890,898,990,1032,1035,1038,167,174,895,924,927,936,980,999,216,242,354,164,921,945,1009,1020,180,402,150,236,231,930,933,233,188,395,390,375,405,975,307,158,239,315,2,458,477,6,556,486,468,459,692,665,642,564,527,526,525,524,523,522,521,506,490,795,687,686,685,684,655,600,826,775,729,817,794,670,570,728,727,827,813,806,825,126,116,115,114,113,108,107,105,104,103,3,753,583,572,591,584,785,613,512,530,751,630,784,599,463,462,461,460,676])).
% 18.89/19.05 cnf(1047,plain,
% 18.89/19.05 (P9(x10471,f27(x10471),f53(a51,a1))),
% 18.89/19.05 inference(rename_variables,[],[174])).
% 18.89/19.05 cnf(1049,plain,
% 18.89/19.05 (~P7(f32(f31(x10491)),f35(f27(f41(f53(a51,a1)))),a51)),
% 18.89/19.05 inference(scs_inference,[],[161,160,144,159,344,181,403,408,915,918,962,1003,165,284,212,988,169,956,959,965,382,890,898,990,1032,1035,1038,167,174,895,924,927,936,980,999,1026,216,242,354,164,921,945,1009,1020,180,402,150,236,231,930,933,233,188,395,390,375,405,975,307,158,239,315,2,458,477,6,556,486,468,459,692,665,642,564,527,526,525,524,523,522,521,506,490,795,687,686,685,684,655,600,826,775,729,817,794,670,570,728,727,827,813,806,825,126,116,115,114,113,108,107,105,104,103,3,753,583,572,591,584,785,613,512,530,751,630,784,599,463,462,461,460,676,667,551])).
% 18.89/19.05 cnf(1050,plain,
% 18.89/19.05 (~P7(x10501,f27(f41(f53(a51,a1))),a51)),
% 18.89/19.05 inference(rename_variables,[],[408])).
% 18.89/19.05 cnf(1052,plain,
% 18.89/19.05 (~P7(f30(a56,f45(a33,a56)),f35(f27(f14(a25,a54))),a51)),
% 18.89/19.05 inference(scs_inference,[],[161,160,144,159,344,181,403,408,915,918,962,1003,165,284,212,988,169,956,959,965,382,890,898,990,1032,1035,1038,167,174,895,924,927,936,980,999,1026,216,242,354,164,921,945,1009,1020,180,402,150,236,231,930,933,233,188,395,390,375,405,975,307,158,239,315,2,458,477,6,556,486,468,459,692,665,642,564,527,526,525,524,523,522,521,506,490,795,687,686,685,684,655,600,826,775,729,817,794,670,570,728,727,827,813,806,825,126,116,115,114,113,108,107,105,104,103,3,753,583,572,591,584,785,613,512,530,751,630,784,599,463,462,461,460,676,667,551,595])).
% 18.89/19.05 cnf(1054,plain,
% 18.89/19.05 (~P7(f30(x10541,f31(x10542)),f35(f27(f41(f53(a51,a1)))),a51)),
% 18.89/19.05 inference(scs_inference,[],[161,160,144,159,344,181,403,408,915,918,962,1003,1050,165,284,212,988,169,956,959,965,382,890,898,990,1032,1035,1038,167,174,895,924,927,936,980,999,1026,216,242,354,164,921,945,1009,1020,180,402,150,236,231,930,933,233,188,395,390,375,405,975,307,158,239,315,2,458,477,6,556,486,468,459,692,665,642,564,527,526,525,524,523,522,521,506,490,795,687,686,685,684,655,600,826,775,729,817,794,670,570,728,727,827,813,806,825,126,116,115,114,113,108,107,105,104,103,3,753,583,572,591,584,785,613,512,530,751,630,784,599,463,462,461,460,676,667,551,595,588])).
% 18.89/19.05 cnf(1055,plain,
% 18.89/19.05 (~P7(x10551,f27(f41(f53(a51,a1))),a51)),
% 18.89/19.05 inference(rename_variables,[],[408])).
% 18.89/19.05 cnf(1058,plain,
% 18.89/19.05 (~P7(x10581,f27(f41(f53(a51,a1))),a51)),
% 18.89/19.05 inference(rename_variables,[],[408])).
% 18.89/19.05 cnf(1065,plain,
% 18.89/19.05 (P6(x10651,f41(f53(x10652,a1)),x10652,x10653)),
% 18.89/19.05 inference(rename_variables,[],[242])).
% 18.89/19.05 cnf(1068,plain,
% 18.89/19.05 (P9(x10681,x10681,f53(x10682,a1))),
% 18.89/19.05 inference(rename_variables,[],[169])).
% 18.89/19.05 cnf(1070,plain,
% 18.89/19.05 (~P15(f53(a51,a1))),
% 18.89/19.05 inference(scs_inference,[],[161,160,144,159,344,181,403,408,915,918,962,1003,1050,1055,1058,165,284,212,988,169,956,959,965,982,382,890,898,990,1032,1035,1038,167,174,895,924,927,936,980,999,1026,216,242,993,354,355,164,921,945,1009,1020,180,402,150,236,231,930,933,233,188,189,395,390,375,405,975,307,192,158,239,315,2,458,477,6,556,486,468,459,692,665,642,564,527,526,525,524,523,522,521,506,490,795,687,686,685,684,655,600,826,775,729,817,794,670,570,728,727,827,813,806,825,126,116,115,114,113,108,107,105,104,103,3,753,583,572,591,584,785,613,512,530,751,630,784,599,463,462,461,460,676,667,551,595,588,587,586,835,802,614])).
% 18.89/19.05 cnf(1074,plain,
% 18.89/19.05 (P6(x10741,f47(x10741,f41(f53(x10742,a1)),x10742,x10742),x10742,x10742)),
% 18.89/19.05 inference(scs_inference,[],[161,160,144,159,344,181,403,408,915,918,962,1003,1050,1055,1058,165,284,212,988,169,956,959,965,982,382,890,898,990,1032,1035,1038,167,174,895,924,927,936,980,999,1026,216,242,993,1065,354,355,164,921,945,1009,1020,180,402,986,150,236,231,930,933,233,188,189,395,390,375,405,975,307,192,158,239,315,2,458,477,6,556,486,468,459,692,665,642,564,527,526,525,524,523,522,521,506,490,795,687,686,685,684,655,600,826,775,729,817,794,670,570,728,727,827,813,806,825,126,116,115,114,113,108,107,105,104,103,3,753,583,572,591,584,785,613,512,530,751,630,784,599,463,462,461,460,676,667,551,595,588,587,586,835,802,614,860])).
% 18.89/19.05 cnf(1075,plain,
% 18.89/19.05 (~P7(x10751,f41(f53(x10752,a1)),x10752)),
% 18.89/19.05 inference(rename_variables,[],[402])).
% 18.89/19.05 cnf(1077,plain,
% 18.89/19.05 (P6(x10771,f41(f53(x10772,a1)),x10772,x10773)),
% 18.89/19.05 inference(rename_variables,[],[242])).
% 18.89/19.05 cnf(1079,plain,
% 18.89/19.05 (~P7(x10791,f47(x10792,f41(f53(x10793,a1)),x10793,x10794),x10794)),
% 18.89/19.05 inference(scs_inference,[],[161,160,144,159,344,181,403,408,915,918,962,1003,1050,1055,1058,165,284,212,988,169,956,959,965,982,1068,382,890,898,990,1032,1035,1038,167,174,895,924,927,936,980,999,1026,216,242,993,1065,1077,354,355,164,921,945,1009,1020,180,402,986,1075,150,236,231,930,933,233,188,189,395,390,375,405,975,307,192,158,239,315,2,458,477,6,556,486,468,459,692,665,642,564,527,526,525,524,523,522,521,506,490,795,687,686,685,684,655,600,826,775,729,817,794,670,570,728,727,827,813,806,825,126,116,115,114,113,108,107,105,104,103,3,753,583,572,591,584,785,613,512,530,751,630,784,599,463,462,461,460,676,667,551,595,588,587,586,835,802,614,860,841])).
% 18.89/19.05 cnf(1081,plain,
% 18.89/19.05 (P9(x10811,x10811,f53(x10812,a1))),
% 18.89/19.05 inference(rename_variables,[],[169])).
% 18.89/19.05 cnf(1085,plain,
% 18.89/19.05 (P9(x10851,x10851,a52)),
% 18.89/19.05 inference(scs_inference,[],[161,160,139,140,144,159,344,181,403,408,915,918,962,1003,1050,1055,1058,165,284,212,988,169,956,959,965,982,1068,382,890,898,990,1032,1035,1038,167,174,895,924,927,936,980,999,1026,216,242,993,1065,1077,354,355,164,921,945,1009,1020,180,402,986,1075,150,236,231,930,933,233,188,189,395,390,375,405,975,307,192,158,239,315,2,458,477,6,556,486,468,459,692,665,642,564,527,526,525,524,523,522,521,506,490,795,687,686,685,684,655,600,826,775,729,817,794,670,570,728,727,827,813,806,825,126,116,115,114,113,108,107,105,104,103,3,753,583,572,591,584,785,613,512,530,751,630,784,599,463,462,461,460,676,667,551,595,588,587,586,835,802,614,860,841,440,439])).
% 18.89/19.05 cnf(1097,plain,
% 18.89/19.05 (P9(f12(x10971,x10972,a52),x10971,a52)),
% 18.89/19.05 inference(scs_inference,[],[161,160,131,132,139,140,144,159,344,377,181,403,408,915,918,962,1003,1050,1055,1058,165,284,212,988,169,956,959,965,982,1068,382,890,898,990,1032,1035,1038,167,174,895,924,927,936,980,999,1026,216,242,993,1065,1077,354,355,164,921,945,1009,1020,180,402,986,1075,150,236,231,930,933,233,188,189,395,390,375,405,975,307,192,158,239,315,2,458,477,6,556,486,468,459,692,665,642,564,527,526,525,524,523,522,521,506,490,795,687,686,685,684,655,600,826,775,729,817,794,670,570,728,727,827,813,806,825,126,116,115,114,113,108,107,105,104,103,3,753,583,572,591,584,785,613,512,530,751,630,784,599,463,462,461,460,676,667,551,595,588,587,586,835,802,614,860,841,440,439,575,674,643,565,500,499])).
% 18.89/19.05 cnf(1101,plain,
% 18.89/19.05 (P9(f12(x11011,x11012,a52),x11012,a52)),
% 18.89/19.05 inference(scs_inference,[],[161,160,131,132,139,140,144,159,344,377,181,403,408,915,918,962,1003,1050,1055,1058,165,284,212,988,169,956,959,965,982,1068,382,890,898,990,1032,1035,1038,167,174,895,924,927,936,980,999,1026,216,242,993,1065,1077,354,355,164,921,945,1009,1020,180,402,986,1075,150,236,231,930,933,233,188,189,395,390,375,405,975,307,192,158,239,315,2,458,477,6,556,486,468,459,692,665,642,564,527,526,525,524,523,522,521,506,490,795,687,686,685,684,655,600,826,775,729,817,794,670,570,728,727,827,813,806,825,126,116,115,114,113,108,107,105,104,103,3,753,583,572,591,584,785,613,512,530,751,630,784,599,463,462,461,460,676,667,551,595,588,587,586,835,802,614,860,841,440,439,575,674,643,565,500,499,498,497])).
% 18.89/19.05 cnf(1105,plain,
% 18.89/19.05 (P9(x11051,f11(x11051,x11052,a52),a52)),
% 18.89/19.05 inference(scs_inference,[],[161,160,131,132,133,136,139,140,144,159,344,377,181,403,408,915,918,962,1003,1050,1055,1058,165,284,212,988,169,956,959,965,982,1068,382,890,898,990,1032,1035,1038,167,174,895,924,927,936,980,999,1026,216,242,993,1065,1077,354,355,164,921,945,1009,1020,180,402,986,1075,150,236,231,930,933,233,188,189,395,390,375,405,975,307,192,158,239,315,2,458,477,6,556,486,468,459,692,665,642,564,527,526,525,524,523,522,521,506,490,795,687,686,685,684,655,600,826,775,729,817,794,670,570,728,727,827,813,806,825,126,116,115,114,113,108,107,105,104,103,3,753,583,572,591,584,785,613,512,530,751,630,784,599,463,462,461,460,676,667,551,595,588,587,586,835,802,614,860,841,440,439,575,674,643,565,500,499,498,497,496,495])).
% 18.89/19.05 cnf(1109,plain,
% 18.89/19.05 (P9(x11091,f11(x11092,x11091,a52),a52)),
% 18.89/19.05 inference(scs_inference,[],[161,160,131,132,133,136,139,140,144,159,344,377,181,403,408,915,918,962,1003,1050,1055,1058,165,284,212,988,169,956,959,965,982,1068,382,890,898,990,1032,1035,1038,167,174,895,924,927,936,980,999,1026,216,242,993,1065,1077,354,355,164,921,945,1009,1020,180,402,986,1075,150,236,231,930,933,233,188,189,395,390,375,405,975,307,192,158,239,315,2,458,477,6,556,486,468,459,692,665,642,564,527,526,525,524,523,522,521,506,490,795,687,686,685,684,655,600,826,775,729,817,794,670,570,728,727,827,813,806,825,126,116,115,114,113,108,107,105,104,103,3,753,583,572,591,584,785,613,512,530,751,630,784,599,463,462,461,460,676,667,551,595,588,587,586,835,802,614,860,841,440,439,575,674,643,565,500,499,498,497,496,495,494,493])).
% 18.89/19.05 cnf(1113,plain,
% 18.89/19.05 (P7(f30(a55,a57),f23(f27(f14(a25,a54))),a51)),
% 18.89/19.05 inference(scs_inference,[],[161,160,131,132,133,136,139,140,144,159,344,377,181,403,408,915,918,962,1003,1050,1055,1058,165,284,212,988,169,956,959,965,982,1068,382,890,898,990,1032,1035,1038,167,174,895,924,927,936,980,999,1026,216,242,993,1065,1077,354,355,164,921,945,1009,1020,180,402,986,1075,150,236,231,930,933,233,188,189,395,390,375,405,975,307,192,158,239,315,2,458,477,6,556,486,468,459,692,665,642,564,527,526,525,524,523,522,521,506,490,795,687,686,685,684,655,600,826,775,729,817,794,670,570,728,727,827,813,806,825,126,116,115,114,113,108,107,105,104,103,3,753,583,572,591,584,785,613,512,530,751,630,784,599,463,462,461,460,676,667,551,595,588,587,586,835,802,614,860,841,440,439,575,674,643,565,500,499,498,497,496,495,494,493,476,475])).
% 18.89/19.05 cnf(1117,plain,
% 18.89/19.05 (P7(f22(f45(a40,x11171)),a36,a52)),
% 18.89/19.05 inference(scs_inference,[],[161,160,131,132,133,136,139,140,144,159,344,377,181,403,408,915,918,962,1003,1050,1055,1058,165,284,212,988,169,956,959,965,982,1068,382,890,898,990,1032,1035,1038,167,174,895,924,927,936,980,999,1026,216,242,993,1065,1077,354,355,164,921,945,1009,1020,180,402,986,1075,150,236,231,930,933,233,188,189,395,390,375,406,405,975,307,192,158,239,315,2,458,477,6,556,486,468,459,692,665,642,564,527,526,525,524,523,522,521,506,490,795,687,686,685,684,655,600,826,775,729,817,794,670,570,728,727,827,813,806,825,126,116,115,114,113,108,107,105,104,103,3,753,583,572,591,584,785,613,512,530,751,630,784,599,463,462,461,460,676,667,551,595,588,587,586,835,802,614,860,841,440,439,575,674,643,565,500,499,498,497,496,495,494,493,476,475,474,472])).
% 18.89/19.05 cnf(1127,plain,
% 18.89/19.05 (P18(f53(x11271,a1))),
% 18.89/19.05 inference(scs_inference,[],[161,160,130,131,132,133,136,139,140,144,145,147,159,344,377,181,403,408,915,918,962,1003,1050,1055,1058,165,284,212,988,169,956,959,965,982,1068,382,890,898,990,1032,1035,1038,167,174,895,924,927,936,980,999,1026,216,242,993,1065,1077,354,355,164,921,945,1009,1020,180,402,986,1075,150,236,231,930,933,233,188,189,395,390,375,406,405,975,307,192,158,239,315,2,458,477,6,556,486,468,459,692,665,642,564,527,526,525,524,523,522,521,506,490,795,687,686,685,684,655,600,826,775,729,817,794,670,570,728,727,827,813,806,825,126,116,115,114,113,108,107,105,104,103,3,753,583,572,591,584,785,613,512,530,751,630,784,599,463,462,461,460,676,667,551,595,588,587,586,835,802,614,860,841,440,439,575,674,643,565,500,499,498,497,496,495,494,493,476,475,474,472,446,445,442,441,430])).
% 18.89/19.05 cnf(1131,plain,
% 18.89/19.05 (P10(f53(x11311,a1))),
% 18.89/19.05 inference(scs_inference,[],[161,160,130,131,132,133,136,139,140,144,145,147,159,344,377,181,403,408,915,918,962,1003,1050,1055,1058,165,284,212,988,169,956,959,965,982,1068,382,890,898,990,1032,1035,1038,167,174,895,924,927,936,980,999,1026,216,242,993,1065,1077,354,355,164,921,945,1009,1020,180,402,986,1075,150,236,231,930,933,233,188,189,395,390,375,406,405,975,307,192,158,239,315,2,458,477,6,556,486,468,459,692,665,642,564,527,526,525,524,523,522,521,506,490,795,687,686,685,684,655,600,826,775,729,817,794,670,570,728,727,827,813,806,825,126,116,115,114,113,108,107,105,104,103,3,753,583,572,591,584,785,613,512,530,751,630,784,599,463,462,461,460,676,667,551,595,588,587,586,835,802,614,860,841,440,439,575,674,643,565,500,499,498,497,496,495,494,493,476,475,474,472,446,445,442,441,430,429,428])).
% 18.89/19.05 cnf(1135,plain,
% 18.89/19.05 (P17(f53(x11351,a1))),
% 18.89/19.05 inference(scs_inference,[],[161,160,130,131,132,133,136,139,140,142,144,145,147,159,344,377,181,403,408,915,918,962,1003,1050,1055,1058,165,284,212,988,169,956,959,965,982,1068,382,890,898,990,1032,1035,1038,167,174,895,924,927,936,980,999,1026,216,242,993,1065,1077,354,355,164,921,945,1009,1020,180,402,986,1075,150,236,231,930,933,233,188,189,395,390,375,406,405,975,307,192,158,239,315,2,458,477,6,556,486,468,459,692,665,642,564,527,526,525,524,523,522,521,506,490,795,687,686,685,684,655,600,826,775,729,817,794,670,570,728,727,827,813,806,825,126,116,115,114,113,108,107,105,104,103,3,753,583,572,591,584,785,613,512,530,751,630,784,599,463,462,461,460,676,667,551,595,588,587,586,835,802,614,860,841,440,439,575,674,643,565,500,499,498,497,496,495,494,493,476,475,474,472,446,445,442,441,430,429,428,427,426])).
% 18.89/19.05 cnf(1137,plain,
% 18.89/19.05 (P12(f53(x11371,a1))),
% 18.89/19.05 inference(scs_inference,[],[161,160,130,131,132,133,136,138,139,140,142,144,145,147,159,344,377,181,403,408,915,918,962,1003,1050,1055,1058,165,284,212,988,169,956,959,965,982,1068,382,890,898,990,1032,1035,1038,167,174,895,924,927,936,980,999,1026,216,242,993,1065,1077,354,355,164,921,945,1009,1020,180,402,986,1075,150,236,231,930,933,233,188,189,395,390,375,406,405,975,307,192,158,239,315,2,458,477,6,556,486,468,459,692,665,642,564,527,526,525,524,523,522,521,506,490,795,687,686,685,684,655,600,826,775,729,817,794,670,570,728,727,827,813,806,825,126,116,115,114,113,108,107,105,104,103,3,753,583,572,591,584,785,613,512,530,751,630,784,599,463,462,461,460,676,667,551,595,588,587,586,835,802,614,860,841,440,439,575,674,643,565,500,499,498,497,496,495,494,493,476,475,474,472,446,445,442,441,430,429,428,427,426,425])).
% 18.89/19.05 cnf(1139,plain,
% 18.89/19.05 (P11(f53(x11391,a1))),
% 18.89/19.05 inference(scs_inference,[],[161,160,130,131,132,133,136,138,139,140,142,144,145,147,159,344,377,181,403,408,915,918,962,1003,1050,1055,1058,165,284,212,988,169,956,959,965,982,1068,382,890,898,990,1032,1035,1038,167,174,895,924,927,936,980,999,1026,216,242,993,1065,1077,354,355,164,921,945,1009,1020,180,402,986,1075,150,236,231,930,933,233,188,189,395,390,375,406,405,975,307,192,158,239,315,2,458,477,6,556,486,468,459,692,665,642,564,527,526,525,524,523,522,521,506,490,795,687,686,685,684,655,600,826,775,729,817,794,670,570,728,727,827,813,806,825,126,116,115,114,113,108,107,105,104,103,3,753,583,572,591,584,785,613,512,530,751,630,784,599,463,462,461,460,676,667,551,595,588,587,586,835,802,614,860,841,440,439,575,674,643,565,500,499,498,497,496,495,494,493,476,475,474,472,446,445,442,441,430,429,428,427,426,425,424])).
% 18.89/19.05 cnf(1145,plain,
% 18.89/19.05 (P1(f53(x11451,a1))),
% 18.89/19.05 inference(scs_inference,[],[161,160,130,131,132,133,134,136,138,139,140,142,144,145,147,159,344,377,181,403,408,915,918,962,1003,1050,1055,1058,165,284,212,988,169,956,959,965,982,1068,382,890,898,990,1032,1035,1038,167,174,895,924,927,936,980,999,1026,216,242,993,1065,1077,354,355,164,921,945,1009,1020,180,402,986,1075,150,236,231,930,933,233,188,189,395,390,375,406,405,975,307,192,158,239,315,2,458,477,6,556,486,468,459,692,665,642,564,527,526,525,524,523,522,521,506,490,795,687,686,685,684,655,600,826,775,729,817,794,670,570,728,727,827,813,806,825,126,116,115,114,113,108,107,105,104,103,3,753,583,572,591,584,785,613,512,530,751,630,784,599,463,462,461,460,676,667,551,595,588,587,586,835,802,614,860,841,440,439,575,674,643,565,500,499,498,497,496,495,494,493,476,475,474,472,446,445,442,441,430,429,428,427,426,425,424,423,422,421])).
% 18.89/19.05 cnf(1174,plain,
% 18.89/19.05 (E(f20(x11741,x11742,x11743,f23(f41(f53(a51,a1)))),f20(x11741,x11742,x11743,f41(f53(a51,a1))))),
% 18.89/19.05 inference(scs_inference,[],[161,160,130,131,132,133,134,136,138,139,140,142,144,145,147,159,344,377,181,403,408,915,918,962,1003,1050,1055,1058,165,284,212,988,169,956,959,965,982,1068,382,890,898,990,1032,1035,1038,167,174,895,924,927,936,980,999,1026,216,242,993,1065,1077,354,355,164,921,945,1009,1020,180,402,986,1075,150,236,231,930,933,233,188,189,395,390,375,406,405,975,307,192,158,239,315,2,458,477,6,556,486,468,459,692,665,642,564,527,526,525,524,523,522,521,506,490,795,687,686,685,684,655,600,826,775,729,817,794,670,570,728,727,827,813,806,825,126,116,115,114,113,108,107,105,104,103,3,753,583,572,591,584,785,613,512,530,751,630,784,599,463,462,461,460,676,667,551,595,588,587,586,835,802,614,860,841,440,439,575,674,643,565,500,499,498,497,496,495,494,493,476,475,474,472,446,445,442,441,430,429,428,427,426,425,424,423,422,421,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74])).
% 18.89/19.05 cnf(1175,plain,
% 18.89/19.05 (E(f20(x11751,x11752,f23(f41(f53(a51,a1))),x11753),f20(x11751,x11752,f41(f53(a51,a1)),x11753))),
% 18.89/19.05 inference(scs_inference,[],[161,160,130,131,132,133,134,136,138,139,140,142,144,145,147,159,344,377,181,403,408,915,918,962,1003,1050,1055,1058,165,284,212,988,169,956,959,965,982,1068,382,890,898,990,1032,1035,1038,167,174,895,924,927,936,980,999,1026,216,242,993,1065,1077,354,355,164,921,945,1009,1020,180,402,986,1075,150,236,231,930,933,233,188,189,395,390,375,406,405,975,307,192,158,239,315,2,458,477,6,556,486,468,459,692,665,642,564,527,526,525,524,523,522,521,506,490,795,687,686,685,684,655,600,826,775,729,817,794,670,570,728,727,827,813,806,825,126,116,115,114,113,108,107,105,104,103,3,753,583,572,591,584,785,613,512,530,751,630,784,599,463,462,461,460,676,667,551,595,588,587,586,835,802,614,860,841,440,439,575,674,643,565,500,499,498,497,496,495,494,493,476,475,474,472,446,445,442,441,430,429,428,427,426,425,424,423,422,421,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73])).
% 18.89/19.05 cnf(1195,plain,
% 18.89/19.05 (E(f21(x11951,x11952,f23(f41(f53(a51,a1)))),f21(x11951,x11952,f41(f53(a51,a1))))),
% 18.89/19.05 inference(scs_inference,[],[161,160,130,131,132,133,134,136,138,139,140,142,144,145,147,159,344,377,181,403,408,915,918,962,1003,1050,1055,1058,165,284,212,988,169,956,959,965,982,1068,382,890,898,990,1032,1035,1038,167,174,895,924,927,936,980,999,1026,216,242,993,1065,1077,354,355,164,921,945,1009,1020,180,402,986,1075,150,236,231,930,933,233,188,189,395,390,375,406,405,975,307,192,158,239,315,2,458,477,6,556,486,468,459,692,665,642,564,527,526,525,524,523,522,521,506,490,795,687,686,685,684,655,600,826,775,729,817,794,670,570,728,727,827,813,806,825,126,116,115,114,113,108,107,105,104,103,3,753,583,572,591,584,785,613,512,530,751,630,784,599,463,462,461,460,676,667,551,595,588,587,586,835,802,614,860,841,440,439,575,674,643,565,500,499,498,497,496,495,494,493,476,475,474,472,446,445,442,441,430,429,428,427,426,425,424,423,422,421,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53])).
% 18.89/19.05 cnf(1226,plain,
% 18.89/19.05 (E(f53(f23(f41(f53(a51,a1))),x12261),f53(f41(f53(a51,a1)),x12261))),
% 18.89/19.05 inference(scs_inference,[],[161,160,130,131,132,133,134,136,138,139,140,142,144,145,147,159,344,377,181,403,408,915,918,962,1003,1050,1055,1058,165,284,212,988,169,956,959,965,982,1068,382,890,898,990,1032,1035,1038,167,174,895,924,927,936,980,999,1026,216,242,993,1065,1077,354,355,164,921,945,1009,1020,180,402,986,1075,150,236,231,930,933,233,188,189,395,390,375,406,405,975,307,192,158,239,315,2,458,477,6,556,486,468,459,692,665,642,564,527,526,525,524,523,522,521,506,490,795,687,686,685,684,655,600,826,775,729,817,794,670,570,728,727,827,813,806,825,126,116,115,114,113,108,107,105,104,103,3,753,583,572,591,584,785,613,512,530,751,630,784,599,463,462,461,460,676,667,551,595,588,587,586,835,802,614,860,841,440,439,575,674,643,565,500,499,498,497,496,495,494,493,476,475,474,472,446,445,442,441,430,429,428,427,426,425,424,423,422,421,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22])).
% 18.89/19.05 cnf(1255,plain,
% 18.89/19.05 (P6(x12551,f17(f41(f53(x12552,a1)),x12553,f53(x12552,a1)),x12552,x12554)),
% 18.89/19.05 inference(scs_inference,[],[161,160,130,131,132,133,134,136,138,139,140,142,144,145,147,159,344,377,181,403,408,915,918,962,1003,1050,1055,1058,415,165,166,284,212,988,1006,169,956,959,965,982,1068,382,890,898,990,1032,1035,1038,167,174,895,924,927,936,980,999,1026,216,242,993,1065,1077,354,355,164,921,945,1009,1020,180,402,986,1075,150,974,236,231,930,933,233,188,189,395,390,375,406,405,975,307,192,158,239,315,2,458,477,6,556,486,468,459,692,665,642,564,527,526,525,524,523,522,521,506,490,795,687,686,685,684,655,600,826,775,729,817,794,670,570,728,727,827,813,806,825,126,116,115,114,113,108,107,105,104,103,3,753,583,572,591,584,785,613,512,530,751,630,784,599,463,462,461,460,676,667,551,595,588,587,586,835,802,614,860,841,440,439,575,674,643,565,500,499,498,497,496,495,494,493,476,475,474,472,446,445,442,441,430,429,428,427,426,425,424,423,422,421,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,5,4,838,778,773,772,771,757])).
% 18.89/19.05 cnf(1263,plain,
% 18.89/19.05 (~P7(a26,f17(a4,x12631,f53(a49,a1)),a49)),
% 18.89/19.05 inference(scs_inference,[],[161,160,130,131,132,133,134,136,138,139,140,142,144,145,147,159,344,377,181,403,408,915,918,962,1003,1050,1055,1058,415,165,166,284,212,988,1006,169,956,959,965,982,1068,382,890,898,990,1032,1035,1038,167,174,895,924,927,936,980,999,1026,216,242,993,1065,1077,354,355,164,921,945,1009,1020,180,402,986,1075,150,974,236,231,930,933,233,188,189,395,390,375,406,405,975,307,192,158,225,239,315,2,458,477,6,556,486,468,459,692,665,642,564,527,526,525,524,523,522,521,506,490,795,687,686,685,684,655,600,826,775,729,817,794,670,570,728,727,827,813,806,825,126,116,115,114,113,108,107,105,104,103,3,753,583,572,591,584,785,613,512,530,751,630,784,599,463,462,461,460,676,667,551,595,588,587,586,835,802,614,860,841,440,439,575,674,643,565,500,499,498,497,496,495,494,493,476,475,474,472,446,445,442,441,430,429,428,427,426,425,424,423,422,421,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,5,4,838,778,773,772,771,757,714,688,669,660])).
% 18.89/19.05 cnf(1269,plain,
% 18.89/19.05 (P7(f30(a55,a57),f27(f46(x12691,f14(a25,a54),a51)),a51)),
% 18.89/19.05 inference(scs_inference,[],[161,160,130,131,132,133,134,136,138,139,140,142,144,145,147,159,344,377,181,403,408,915,918,962,1003,1050,1055,1058,415,165,166,284,212,988,1006,169,956,959,965,982,1068,382,890,898,990,1032,1035,1038,167,174,895,924,927,936,980,999,1026,216,242,993,1065,1077,354,355,164,921,945,1009,1020,180,402,986,1075,150,974,236,231,930,933,233,188,189,395,390,375,406,405,975,307,192,158,225,239,315,2,458,477,6,556,486,468,459,692,665,642,564,527,526,525,524,523,522,521,506,490,795,687,686,685,684,655,600,826,775,729,817,794,670,570,728,727,827,813,806,825,126,116,115,114,113,108,107,105,104,103,3,753,583,572,591,584,785,613,512,530,751,630,784,599,463,462,461,460,676,667,551,595,588,587,586,835,802,614,860,841,440,439,575,674,643,565,500,499,498,497,496,495,494,493,476,475,474,472,446,445,442,441,430,429,428,427,426,425,424,423,422,421,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,5,4,838,778,773,772,771,757,714,688,669,660,659,658,650])).
% 18.89/19.05 cnf(1271,plain,
% 18.89/19.05 (P7(f45(a33,f45(f44(x12711),x12712)),f23(f46(x12713,f14(a25,x12714),a51)),a51)),
% 18.89/19.05 inference(scs_inference,[],[161,160,130,131,132,133,134,136,138,139,140,142,144,145,147,159,344,377,181,403,408,915,918,962,1003,1050,1055,1058,415,165,166,284,212,988,1006,169,956,959,965,982,1068,382,890,898,990,1032,1035,1038,167,174,895,924,927,936,980,999,1026,216,242,993,1065,1077,354,355,164,921,945,1009,1020,180,402,986,1075,150,974,236,231,930,933,233,188,189,395,390,375,406,405,975,307,192,158,225,239,315,2,458,477,6,556,486,468,459,692,665,642,564,527,526,525,524,523,522,521,506,490,795,687,686,685,684,655,600,826,775,729,817,794,670,570,728,727,827,813,806,825,126,116,115,114,113,108,107,105,104,103,3,753,583,572,591,584,785,613,512,530,751,630,784,599,463,462,461,460,676,667,551,595,588,587,586,835,802,614,860,841,440,439,575,674,643,565,500,499,498,497,496,495,494,493,476,475,474,472,446,445,442,441,430,429,428,427,426,425,424,423,422,421,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,5,4,838,778,773,772,771,757,714,688,669,660,659,658,650,649])).
% 18.89/19.05 cnf(1273,plain,
% 18.89/19.05 (~E(f46(a26,f41(f53(x12731,a1)),x12731),f46(a25,f41(f53(x12731,a1)),x12731))),
% 18.89/19.05 inference(scs_inference,[],[161,160,130,131,132,133,134,136,138,139,140,142,144,145,147,159,344,377,181,403,408,915,918,962,1003,1050,1055,1058,415,165,166,284,212,988,1006,169,956,959,965,982,1068,382,890,898,990,1032,1035,1038,167,174,895,924,927,936,980,999,1026,216,242,993,1065,1077,354,355,164,921,945,1009,1020,180,402,986,1075,150,974,236,231,930,933,233,188,189,395,390,375,406,405,975,307,192,158,225,239,315,2,458,477,6,556,486,468,459,692,665,642,564,527,526,525,524,523,522,521,506,490,795,687,686,685,684,655,600,826,775,729,817,794,670,570,728,727,827,813,806,825,126,116,115,114,113,108,107,105,104,103,3,753,583,572,591,584,785,613,512,530,751,630,784,599,463,462,461,460,676,667,551,595,588,587,586,835,802,614,860,841,440,439,575,674,643,565,500,499,498,497,496,495,494,493,476,475,474,472,446,445,442,441,430,429,428,427,426,425,424,423,422,421,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,5,4,838,778,773,772,771,757,714,688,669,660,659,658,650,649,629])).
% 18.89/19.05 cnf(1281,plain,
% 18.89/19.05 (~E(f34(f32(f34(a26,x12811)),x12811),f34(f32(f34(a25,x12812)),x12812))),
% 18.89/19.05 inference(scs_inference,[],[161,160,130,131,132,133,134,136,138,139,140,142,144,145,147,159,344,377,181,403,408,915,918,962,1003,1050,1055,1058,415,165,166,284,212,988,1006,169,956,959,965,982,1068,382,890,898,990,1032,1035,1038,167,174,895,924,927,936,980,999,1026,216,242,993,1065,1077,354,355,164,921,945,1009,1020,180,402,986,1075,150,974,236,231,930,933,233,188,189,395,390,375,406,405,975,307,192,158,225,239,315,2,458,477,6,556,486,468,459,692,665,642,564,527,526,525,524,523,522,521,506,490,795,687,686,685,684,655,600,826,775,729,817,794,670,570,728,727,827,813,806,825,126,116,115,114,113,108,107,105,104,103,3,753,583,572,591,584,785,613,512,530,751,630,784,599,463,462,461,460,676,667,551,595,588,587,586,835,802,614,860,841,440,439,575,674,643,565,500,499,498,497,496,495,494,493,476,475,474,472,446,445,442,441,430,429,428,427,426,425,424,423,422,421,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,5,4,838,778,773,772,771,757,714,688,669,660,659,658,650,649,629,598,597,574,561])).
% 18.89/19.05 cnf(1295,plain,
% 18.89/19.05 (~P7(f31(x12951),f35(f35(f27(f41(f53(a51,a1))))),a51)),
% 18.89/19.05 inference(scs_inference,[],[161,160,130,131,132,133,134,136,138,139,140,142,144,145,147,159,344,377,181,403,408,915,918,962,1003,1050,1055,1058,415,165,166,284,212,988,1006,169,956,959,965,982,1068,382,890,898,990,1032,1035,1038,167,174,895,924,927,936,980,999,1026,216,242,993,1065,1077,354,355,164,921,945,1009,1020,180,402,986,1075,150,974,236,231,930,933,233,188,189,395,390,375,406,405,975,307,192,158,225,239,315,2,458,477,6,556,486,468,459,692,665,642,564,527,526,525,524,523,522,521,506,490,795,687,686,685,684,655,600,826,775,729,817,794,670,570,728,727,827,813,806,825,126,116,115,114,113,108,107,105,104,103,3,753,583,572,591,584,785,613,512,530,751,630,784,599,463,462,461,460,676,667,551,595,588,587,586,835,802,614,860,841,440,439,575,674,643,565,500,499,498,497,496,495,494,493,476,475,474,472,446,445,442,441,430,429,428,427,426,425,424,423,422,421,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,5,4,838,778,773,772,771,757,714,688,669,660,659,658,650,649,629,598,597,574,561,511,510,509,508,507,505,504])).
% 18.89/19.05 cnf(1297,plain,
% 18.89/19.05 (~P7(f45(a33,a56),f23(f23(f14(a25,a54))),a51)),
% 18.89/19.05 inference(scs_inference,[],[161,160,130,131,132,133,134,136,138,139,140,142,144,145,147,159,344,377,181,403,408,915,918,962,1003,1050,1055,1058,415,165,166,284,212,988,1006,169,956,959,965,982,1068,382,890,898,990,1032,1035,1038,167,174,895,924,927,936,980,999,1026,216,242,993,1065,1077,354,355,164,921,945,1009,1020,180,402,986,1075,150,974,236,231,930,933,233,188,189,395,390,375,406,405,975,307,192,158,225,239,315,2,458,477,6,556,486,468,459,692,665,642,564,527,526,525,524,523,522,521,506,490,795,687,686,685,684,655,600,826,775,729,817,794,670,570,728,727,827,813,806,825,126,116,115,114,113,108,107,105,104,103,3,753,583,572,591,584,785,613,512,530,751,630,784,599,463,462,461,460,676,667,551,595,588,587,586,835,802,614,860,841,440,439,575,674,643,565,500,499,498,497,496,495,494,493,476,475,474,472,446,445,442,441,430,429,428,427,426,425,424,423,422,421,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,5,4,838,778,773,772,771,757,714,688,669,660,659,658,650,649,629,598,597,574,561,511,510,509,508,507,505,504,503])).
% 18.89/19.05 cnf(1349,plain,
% 18.89/19.05 (P9(f27(x13491),f27(f35(x13491)),f53(a51,a1))),
% 18.89/19.05 inference(scs_inference,[],[161,160,130,131,132,133,134,136,138,139,140,142,144,145,147,159,344,377,181,403,408,915,918,962,1003,1050,1055,1058,415,165,166,284,212,988,1006,169,956,959,965,982,1068,382,890,898,990,1032,1035,1038,167,174,895,924,927,936,980,999,1026,1047,173,216,242,993,1065,1077,354,355,164,921,945,1009,1020,180,402,986,1075,150,974,236,231,930,933,233,188,189,395,390,375,406,405,975,307,192,158,225,239,315,2,458,477,6,556,486,468,459,692,665,642,564,527,526,525,524,523,522,521,506,490,795,687,686,685,684,655,600,826,775,729,817,794,670,570,728,727,827,813,806,825,126,116,115,114,113,108,107,105,104,103,3,753,583,572,591,584,785,613,512,530,751,630,784,599,463,462,461,460,676,667,551,595,588,587,586,835,802,614,860,841,440,439,575,674,643,565,500,499,498,497,496,495,494,493,476,475,474,472,446,445,442,441,430,429,428,427,426,425,424,423,422,421,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,5,4,838,778,773,772,771,757,714,688,669,660,659,658,650,649,629,598,597,574,561,511,510,509,508,507,505,504,503,502,501,467,466,465,464,450,449,448,447,444,443,438,437,436,435,434,433,432,431,420,419,418,417,562,539])).
% 18.89/19.05 cnf(1357,plain,
% 18.89/19.05 (~P7(f16(a26,x13571,f30(f45(a40,x13571),f34(x13572,f34(x13573,f34(f45(a33,a56),x13574))))),f24(a54,a2),a2)),
% 18.89/19.05 inference(scs_inference,[],[161,160,130,131,132,133,134,136,138,139,140,142,144,145,147,159,344,377,181,403,408,915,918,962,1003,1050,1055,1058,415,165,166,284,212,988,1006,169,956,959,965,982,1068,382,890,898,990,1032,1035,1038,167,174,895,924,927,936,980,999,1026,1047,173,216,242,993,1065,1077,354,355,164,921,945,1009,1020,180,402,986,1075,150,974,236,231,930,933,233,188,189,395,390,375,406,405,975,307,192,158,225,239,315,2,458,477,6,556,486,468,459,692,665,642,564,527,526,525,524,523,522,521,506,490,795,687,686,685,684,655,600,826,775,729,817,794,670,570,728,727,827,813,806,825,126,116,115,114,113,108,107,105,104,103,3,753,583,572,591,584,785,613,512,530,751,630,784,599,463,462,461,460,676,667,551,595,588,587,586,835,802,614,860,841,440,439,575,674,643,565,500,499,498,497,496,495,494,493,476,475,474,472,446,445,442,441,430,429,428,427,426,425,424,423,422,421,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,5,4,838,778,773,772,771,757,714,688,669,660,659,658,650,649,629,598,597,574,561,511,510,509,508,507,505,504,503,502,501,467,466,465,464,450,449,448,447,444,443,438,437,436,435,434,433,432,431,420,419,418,417,562,539,538,537,840,819])).
% 18.89/19.05 cnf(1359,plain,
% 18.89/19.05 (~P7(f16(x13591,x13592,f30(x13593,f34(x13594,f34(x13595,f34(x13596,f45(a33,a56)))))),f24(a54,a2),a2)),
% 18.89/19.05 inference(scs_inference,[],[161,160,130,131,132,133,134,136,138,139,140,142,144,145,147,159,344,377,181,403,408,915,918,962,1003,1050,1055,1058,415,165,166,284,212,988,1006,169,956,959,965,982,1068,382,890,898,990,1032,1035,1038,167,174,895,924,927,936,980,999,1026,1047,173,216,242,993,1065,1077,354,355,164,921,945,1009,1020,180,402,986,1075,150,974,236,231,930,933,233,188,189,395,390,375,406,405,975,307,192,158,225,239,315,2,458,477,6,556,486,468,459,692,665,642,564,527,526,525,524,523,522,521,506,490,795,687,686,685,684,655,600,826,775,729,817,794,670,570,728,727,827,813,806,825,126,116,115,114,113,108,107,105,104,103,3,753,583,572,591,584,785,613,512,530,751,630,784,599,463,462,461,460,676,667,551,595,588,587,586,835,802,614,860,841,440,439,575,674,643,565,500,499,498,497,496,495,494,493,476,475,474,472,446,445,442,441,430,429,428,427,426,425,424,423,422,421,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,5,4,838,778,773,772,771,757,714,688,669,660,659,658,650,649,629,598,597,574,561,511,510,509,508,507,505,504,503,502,501,467,466,465,464,450,449,448,447,444,443,438,437,436,435,434,433,432,431,420,419,418,417,562,539,538,537,840,819,809])).
% 18.89/19.05 cnf(1361,plain,
% 18.89/19.05 (P7(f45(x13611,a54),f47(x13611,a42,f50(a2),x13612),x13612)),
% 18.89/19.05 inference(scs_inference,[],[161,160,130,131,132,133,134,136,138,139,140,142,144,145,147,159,344,377,181,403,408,915,918,962,1003,1050,1055,1058,415,165,166,284,212,988,1006,169,956,959,965,982,1068,382,890,898,990,1032,1035,1038,167,174,895,924,927,936,980,999,1026,1047,173,216,242,993,1065,1077,354,355,164,921,945,1009,1020,180,402,986,1075,150,974,236,231,930,933,233,188,189,395,390,375,406,405,975,307,192,158,225,239,315,2,458,477,6,556,486,468,459,692,665,642,564,527,526,525,524,523,522,521,506,490,795,687,686,685,684,655,600,826,775,729,817,794,670,570,728,727,827,813,806,825,126,116,115,114,113,108,107,105,104,103,3,753,583,572,591,584,785,613,512,530,751,630,784,599,463,462,461,460,676,667,551,595,588,587,586,835,802,614,860,841,440,439,575,674,643,565,500,499,498,497,496,495,494,493,476,475,474,472,446,445,442,441,430,429,428,427,426,425,424,423,422,421,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,5,4,838,778,773,772,771,757,714,688,669,660,659,658,650,649,629,598,597,574,561,511,510,509,508,507,505,504,503,502,501,467,466,465,464,450,449,448,447,444,443,438,437,436,435,434,433,432,431,420,419,418,417,562,539,538,537,840,819,809,745])).
% 18.89/19.05 cnf(1363,plain,
% 18.89/19.05 (P7(f30(a55,a57),f27(f46(f37(f14(a25,a54),f30(a55,a57)),f41(f53(a51,a1)),a51)),a51)),
% 18.89/19.05 inference(scs_inference,[],[161,160,130,131,132,133,134,136,138,139,140,142,144,145,147,159,344,377,181,403,408,915,918,962,1003,1050,1055,1058,415,165,166,284,212,988,1006,169,956,959,965,982,1068,382,890,898,990,1032,1035,1038,167,174,895,924,927,936,980,999,1026,1047,173,216,242,993,1065,1077,354,355,164,921,945,1009,1020,180,402,986,1075,150,974,236,231,930,933,233,188,189,395,390,375,406,405,975,307,192,158,225,239,315,2,458,477,6,556,486,468,459,692,665,642,564,527,526,525,524,523,522,521,506,490,795,687,686,685,684,655,600,826,775,729,817,794,670,570,728,727,827,813,806,825,126,116,115,114,113,108,107,105,104,103,3,753,583,572,591,584,785,613,512,530,751,630,784,599,463,462,461,460,676,667,551,595,588,587,586,835,802,614,860,841,440,439,575,674,643,565,500,499,498,497,496,495,494,493,476,475,474,472,446,445,442,441,430,429,428,427,426,425,424,423,422,421,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,5,4,838,778,773,772,771,757,714,688,669,660,659,658,650,649,629,598,597,574,561,511,510,509,508,507,505,504,503,502,501,467,466,465,464,450,449,448,447,444,443,438,437,436,435,434,433,432,431,420,419,418,417,562,539,538,537,840,819,809,745,740])).
% 18.89/19.05 cnf(1393,plain,
% 18.89/19.05 (~P7(f45(a33,a56),f35(f27(f14(a25,a54))),a51)),
% 18.89/19.05 inference(scs_inference,[],[161,160,130,131,132,133,134,136,138,139,140,142,144,145,147,159,344,377,181,403,408,915,918,962,1003,1050,1055,1058,415,165,166,284,212,988,1006,169,956,959,965,982,1068,1081,382,890,898,990,1032,1035,1038,167,174,895,924,927,936,980,999,1026,1047,173,172,216,242,993,1065,1077,354,355,164,921,945,1009,1020,180,402,986,1075,150,974,236,231,930,933,992,232,233,188,189,395,390,187,375,406,405,975,307,192,158,225,239,315,2,458,477,6,556,486,468,459,692,665,642,564,527,526,525,524,523,522,521,506,490,795,687,686,685,684,655,600,826,775,729,817,794,670,570,728,727,827,813,806,825,126,116,115,114,113,108,107,105,104,103,3,753,583,572,591,584,785,613,512,530,751,630,784,599,463,462,461,460,676,667,551,595,588,587,586,835,802,614,860,841,440,439,575,674,643,565,500,499,498,497,496,495,494,493,476,475,474,472,446,445,442,441,430,429,428,427,426,425,424,423,422,421,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,5,4,838,778,773,772,771,757,714,688,669,660,659,658,650,649,629,598,597,574,561,511,510,509,508,507,505,504,503,502,501,467,466,465,464,450,449,448,447,444,443,438,437,436,435,434,433,432,431,420,419,418,417,562,539,538,537,840,819,809,745,740,719,716,644,555,554,553,552,550,549,548,547,545,544,543,542])).
% 18.89/19.05 cnf(1397,plain,
% 18.89/19.05 (P7(f32(f28(x13971)),f35(x13972),a51)),
% 18.89/19.05 inference(scs_inference,[],[161,160,130,131,132,133,134,136,138,139,140,142,144,145,147,159,344,377,181,403,408,915,918,962,1003,1050,1055,1058,415,165,166,284,212,988,1006,169,956,959,965,982,1068,1081,382,890,898,990,1032,1035,1038,167,174,895,924,927,936,980,999,1026,1047,173,172,216,242,993,1065,1077,354,355,164,921,945,1009,1020,1029,180,402,986,1075,150,974,236,231,930,933,992,232,233,188,189,395,390,187,375,406,405,975,307,192,158,225,239,315,2,458,477,6,556,486,468,459,692,665,642,564,527,526,525,524,523,522,521,506,490,795,687,686,685,684,655,600,826,775,729,817,794,670,570,728,727,827,813,806,825,126,116,115,114,113,108,107,105,104,103,3,753,583,572,591,584,785,613,512,530,751,630,784,599,463,462,461,460,676,667,551,595,588,587,586,835,802,614,860,841,440,439,575,674,643,565,500,499,498,497,496,495,494,493,476,475,474,472,446,445,442,441,430,429,428,427,426,425,424,423,422,421,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,5,4,838,778,773,772,771,757,714,688,669,660,659,658,650,649,629,598,597,574,561,511,510,509,508,507,505,504,503,502,501,467,466,465,464,450,449,448,447,444,443,438,437,436,435,434,433,432,431,420,419,418,417,562,539,538,537,840,819,809,745,740,719,716,644,555,554,553,552,550,549,548,547,545,544,543,542,518,487])).
% 18.89/19.05 cnf(1413,plain,
% 18.89/19.05 (~P7(x14131,f48(a33,f46(f28(x14132),f41(f53(x14133,a1)),x14133),x14134,x14133),x14134)),
% 18.89/19.05 inference(scs_inference,[],[161,160,130,131,132,133,134,136,138,139,140,142,144,145,147,159,344,377,181,403,408,915,918,962,1003,1050,1055,1058,415,165,166,284,212,988,1006,169,956,959,965,982,1068,1081,382,890,898,990,1032,1035,1038,167,174,895,924,927,936,980,999,1026,1047,173,172,216,242,993,1065,1077,354,970,355,164,921,945,1009,1020,1029,180,402,986,1075,150,974,236,231,930,933,992,232,233,188,189,395,390,187,375,406,405,975,307,192,158,225,239,315,2,458,477,6,556,486,468,459,692,665,642,564,527,526,525,524,523,522,521,506,490,795,687,686,685,684,655,600,826,775,729,817,794,670,570,728,727,827,813,806,825,126,116,115,114,113,108,107,105,104,103,3,753,583,572,591,584,785,613,512,530,751,630,784,599,463,462,461,460,676,667,551,595,588,587,586,835,802,614,860,841,440,439,575,674,643,565,500,499,498,497,496,495,494,493,476,475,474,472,446,445,442,441,430,429,428,427,426,425,424,423,422,421,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,5,4,838,778,773,772,771,757,714,688,669,660,659,658,650,649,629,598,597,574,561,511,510,509,508,507,505,504,503,502,501,467,466,465,464,450,449,448,447,444,443,438,437,436,435,434,433,432,431,420,419,418,417,562,539,538,537,840,819,809,745,740,719,716,644,555,554,553,552,550,549,548,547,545,544,543,542,518,487,473,470,456,455,454,453,870,807])).
% 18.89/19.05 cnf(1416,plain,
% 18.89/19.05 (P7(f28(x14161),f35(x14162),a51)),
% 18.89/19.05 inference(rename_variables,[],[164])).
% 18.89/19.05 cnf(1423,plain,
% 18.89/19.05 (~E(f21(x14231,x14232,x14233),x14232)),
% 18.89/19.05 inference(rename_variables,[],[382])).
% 18.89/19.05 cnf(1471,plain,
% 18.89/19.05 (~E(f21(x14711,x14712,x14713),x14712)),
% 18.89/19.05 inference(rename_variables,[],[382])).
% 18.89/19.05 cnf(1474,plain,
% 18.89/19.05 (~E(f21(x14741,x14742,x14743),x14742)),
% 18.89/19.05 inference(rename_variables,[],[382])).
% 18.89/19.05 cnf(1477,plain,
% 18.89/19.05 (~E(f21(x14771,x14772,x14773),x14772)),
% 18.89/19.05 inference(rename_variables,[],[382])).
% 18.89/19.05 cnf(1479,plain,
% 18.89/19.05 (~E(f24(f21(x14791,f3(x14792),x14793),x14792),f41(f53(x14792,a1)))),
% 18.89/19.05 inference(scs_inference,[],[161,160,130,131,132,133,134,136,138,139,140,142,144,145,147,159,344,377,181,403,408,915,918,962,1003,1050,1055,1058,415,165,166,284,212,988,1006,169,956,959,965,982,1068,1081,382,890,898,990,1032,1035,1038,1041,1423,1471,1474,1477,167,174,895,924,927,936,980,999,1026,1047,173,172,216,242,993,1065,1077,354,970,355,164,921,945,1009,1020,1029,1416,180,402,986,1075,150,974,236,231,930,933,992,232,233,188,189,151,395,390,187,375,406,405,975,307,192,158,225,239,315,2,458,477,6,556,486,468,459,692,665,642,564,527,526,525,524,523,522,521,506,490,795,687,686,685,684,655,600,826,775,729,817,794,670,570,728,727,827,813,806,825,126,116,115,114,113,108,107,105,104,103,3,753,583,572,591,584,785,613,512,530,751,630,784,599,463,462,461,460,676,667,551,595,588,587,586,835,802,614,860,841,440,439,575,674,643,565,500,499,498,497,496,495,494,493,476,475,474,472,446,445,442,441,430,429,428,427,426,425,424,423,422,421,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,5,4,838,778,773,772,771,757,714,688,669,660,659,658,650,649,629,598,597,574,561,511,510,509,508,507,505,504,503,502,501,467,466,465,464,450,449,448,447,444,443,438,437,436,435,434,433,432,431,420,419,418,417,562,539,538,537,840,819,809,745,740,719,716,644,555,554,553,552,550,549,548,547,545,544,543,542,518,487,473,470,456,455,454,453,870,807,755,718,717,709,697,679,662,661,632,628,627,626,625,624,623,622,621,596,563,541,540,535,534,533,532,531,520,519,452,451])).
% 18.89/19.05 cnf(1480,plain,
% 18.89/19.05 (~E(f21(x14801,x14802,x14803),x14802)),
% 18.89/19.05 inference(rename_variables,[],[382])).
% 18.89/19.05 cnf(1504,plain,
% 18.89/19.05 (P9(f46(f30(x15041,x15042),f23(f46(x15042,f11(f47(a33,f46(f22(x15041),x15043,a52),a52,a51),x15044,f53(a51,a1)),a51)),a51),f23(f46(f30(x15041,x15042),f11(f47(a33,f46(f22(x15041),x15043,a52),a52,a51),x15044,f53(a51,a1)),a51)),f53(a51,a1))),
% 18.89/19.05 inference(scs_inference,[],[161,160,130,131,132,133,134,136,138,139,140,142,144,145,147,159,344,377,181,403,408,915,918,962,1003,1050,1055,1058,415,165,166,284,212,988,1006,169,956,959,965,982,1068,1081,382,890,898,990,1032,1035,1038,1041,1423,1471,1474,1477,167,174,895,924,927,936,980,999,1026,1047,173,172,216,242,993,1065,1077,354,970,355,164,921,945,1009,1020,1029,1416,180,402,986,1075,150,974,236,231,930,933,992,232,233,188,189,151,395,390,187,375,406,405,975,307,192,158,225,239,315,2,458,477,6,556,486,468,459,692,665,642,564,527,526,525,524,523,522,521,506,490,795,687,686,685,684,655,600,826,775,729,817,794,670,570,728,727,827,813,806,825,126,116,115,114,113,108,107,105,104,103,3,753,583,572,591,584,785,613,512,530,751,630,784,599,463,462,461,460,676,667,551,595,588,587,586,835,802,614,860,841,440,439,575,674,643,565,500,499,498,497,496,495,494,493,476,475,474,472,446,445,442,441,430,429,428,427,426,425,424,423,422,421,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,5,4,838,778,773,772,771,757,714,688,669,660,659,658,650,649,629,598,597,574,561,511,510,509,508,507,505,504,503,502,501,467,466,465,464,450,449,448,447,444,443,438,437,436,435,434,433,432,431,420,419,418,417,562,539,538,537,840,819,809,745,740,719,716,644,555,554,553,552,550,549,548,547,545,544,543,542,518,487,473,470,456,455,454,453,870,807,755,718,717,709,697,679,662,661,632,628,627,626,625,624,623,622,621,596,563,541,540,535,534,533,532,531,520,519,452,451,798,797,770,769,768,750,683,682,681,680,849,792])).
% 18.89/19.05 cnf(1516,plain,
% 18.89/19.05 (~E(f34(f32(f34(x15161,x15162)),x15162),f34(f21(x15163,f32(f34(x15161,x15162)),x15164),x15165))),
% 18.89/19.05 inference(scs_inference,[],[161,160,130,131,132,133,134,136,138,139,140,142,144,145,147,159,344,377,181,403,408,915,918,962,1003,1050,1055,1058,415,165,166,284,212,988,1006,169,956,959,965,982,1068,1081,382,890,898,990,1032,1035,1038,1041,1423,1471,1474,1477,1480,167,174,895,924,927,936,980,999,1026,1047,173,172,216,242,993,1065,1077,354,970,355,164,921,945,1009,1020,1029,1416,180,402,986,1075,150,974,236,231,930,933,992,232,233,188,189,151,395,390,187,375,406,405,975,307,192,158,225,239,315,2,458,477,6,556,486,468,459,692,665,642,564,527,526,525,524,523,522,521,506,490,795,687,686,685,684,655,600,826,775,729,817,794,670,570,728,727,827,813,806,825,126,116,115,114,113,108,107,105,104,103,3,753,583,572,591,584,785,613,512,530,751,630,784,599,463,462,461,460,676,667,551,595,588,587,586,835,802,614,860,841,440,439,575,674,643,565,500,499,498,497,496,495,494,493,476,475,474,472,446,445,442,441,430,429,428,427,426,425,424,423,422,421,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,5,4,838,778,773,772,771,757,714,688,669,660,659,658,650,649,629,598,597,574,561,511,510,509,508,507,505,504,503,502,501,467,466,465,464,450,449,448,447,444,443,438,437,436,435,434,433,432,431,420,419,418,417,562,539,538,537,840,819,809,745,740,719,716,644,555,554,553,552,550,549,548,547,545,544,543,542,518,487,473,470,456,455,454,453,870,807,755,718,717,709,697,679,662,661,632,628,627,626,625,624,623,622,621,596,563,541,540,535,534,533,532,531,520,519,452,451,798,797,770,769,768,750,683,682,681,680,849,792,730,648,645,612,611,492])).
% 18.89/19.05 cnf(1523,plain,
% 18.89/19.05 (P6(f19(f41(f53(x15231,a1)),x15232,x15231,x15233),f47(x15232,f41(f53(x15231,a1)),x15231,x15233),x15233,x15231)),
% 18.89/19.05 inference(scs_inference,[],[161,160,130,131,132,133,134,136,138,139,140,142,144,145,147,159,344,377,181,403,408,915,918,962,1003,1050,1055,1058,415,165,166,284,212,988,1006,169,956,959,965,982,1068,1081,382,890,898,990,1032,1035,1038,1041,1423,1471,1474,1477,1480,167,174,895,924,927,936,980,999,1026,1047,173,172,216,242,993,1065,1077,354,970,355,164,921,945,1009,1020,1029,1416,180,402,986,1075,150,974,236,231,930,933,992,232,233,188,189,151,395,390,187,375,406,405,975,307,192,158,225,239,315,2,458,477,6,556,486,468,459,692,665,642,564,527,526,525,524,523,522,521,506,490,795,687,686,685,684,655,600,826,775,729,817,794,670,570,728,727,827,813,806,825,126,116,115,114,113,108,107,105,104,103,3,753,583,572,591,584,785,613,512,530,751,630,784,599,463,462,461,460,676,667,551,595,588,587,586,835,802,614,860,841,440,439,575,674,643,565,500,499,498,497,496,495,494,493,476,475,474,472,446,445,442,441,430,429,428,427,426,425,424,423,422,421,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,5,4,838,778,773,772,771,757,714,688,669,660,659,658,650,649,629,598,597,574,561,511,510,509,508,507,505,504,503,502,501,467,466,465,464,450,449,448,447,444,443,438,437,436,435,434,433,432,431,420,419,418,417,562,539,538,537,840,819,809,745,740,719,716,644,555,554,553,552,550,549,548,547,545,544,543,542,518,487,473,470,456,455,454,453,870,807,755,718,717,709,697,679,662,661,632,628,627,626,625,624,623,622,621,596,563,541,540,535,534,533,532,531,520,519,452,451,798,797,770,769,768,750,683,682,681,680,849,792,730,648,645,612,611,492,752,690,810])).
% 18.89/19.05 cnf(1539,plain,
% 18.89/19.05 (~E(a52,x15391)+P16(x15391)),
% 18.89/19.05 inference(scs_inference,[],[161,160,130,131,132,133,134,136,138,139,140,142,144,145,147,148,159,344,377,181,403,408,915,918,962,1003,1050,1055,1058,415,165,166,284,212,988,1006,169,956,959,965,982,1068,1081,382,890,898,990,1032,1035,1038,1041,1423,1471,1474,1477,1480,167,174,895,924,927,936,980,999,1026,1047,173,172,216,242,993,1065,1077,354,970,355,164,921,945,1009,1020,1029,1416,180,402,986,1075,150,974,236,231,930,933,992,232,233,188,189,151,395,390,187,375,406,405,975,307,192,158,225,239,315,2,458,477,6,556,486,468,459,692,665,642,564,527,526,525,524,523,522,521,506,490,795,687,686,685,684,655,600,826,775,729,817,794,670,570,728,727,827,813,806,825,126,116,115,114,113,108,107,105,104,103,3,753,583,572,591,584,785,613,512,530,751,630,784,599,463,462,461,460,676,667,551,595,588,587,586,835,802,614,860,841,440,439,575,674,643,565,500,499,498,497,496,495,494,493,476,475,474,472,446,445,442,441,430,429,428,427,426,425,424,423,422,421,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,5,4,838,778,773,772,771,757,714,688,669,660,659,658,650,649,629,598,597,574,561,511,510,509,508,507,505,504,503,502,501,467,466,465,464,450,449,448,447,444,443,438,437,436,435,434,433,432,431,420,419,418,417,562,539,538,537,840,819,809,745,740,719,716,644,555,554,553,552,550,549,548,547,545,544,543,542,518,487,473,470,456,455,454,453,870,807,755,718,717,709,697,679,662,661,632,628,627,626,625,624,623,622,621,596,563,541,540,535,534,533,532,531,520,519,452,451,798,797,770,769,768,750,683,682,681,680,849,792,730,648,645,612,611,492,752,690,810,706,705,689,758,723,867,811,129])).
% 18.89/19.05 cnf(1722,plain,
% 18.89/19.05 (P9(x17221,f11(x17222,x17221,f53(x17223,a1)),f53(x17223,a1))),
% 18.89/19.05 inference(rename_variables,[],[229])).
% 18.89/19.05 cnf(1726,plain,
% 18.89/19.05 (P9(x17261,f11(x17262,x17261,f53(x17263,a1)),f53(x17263,a1))),
% 18.89/19.05 inference(rename_variables,[],[229])).
% 18.89/19.05 cnf(1727,plain,
% 18.89/19.05 (P12(f53(x17271,a1))),
% 18.89/19.05 inference(rename_variables,[],[1137])).
% 18.89/19.05 cnf(1730,plain,
% 18.89/19.05 (P7(f45(x17301,x17302),f47(x17301,f43(f53(x17303,a1)),x17303,x17304),x17304)),
% 18.89/19.05 inference(rename_variables,[],[307])).
% 18.89/19.05 cnf(1733,plain,
% 18.89/19.05 (~P7(f31(x17331),f47(a33,x17332,a52,a51),a51)),
% 18.89/19.05 inference(rename_variables,[],[409])).
% 18.89/19.05 cnf(1735,plain,
% 18.89/19.05 (~P7(x17351,f41(f53(x17352,a1)),x17353)),
% 18.89/19.05 inference(rename_variables,[],[885])).
% 18.89/19.05 cnf(1740,plain,
% 18.89/19.05 (P6(f20(f47(x17401,f41(f53(x17402,a1)),x17402,x17402),x17401,x17402,x17402),f47(x17401,f41(f53(x17402,a1)),x17402,x17402),x17402,x17402)),
% 18.89/19.05 inference(scs_inference,[],[161,409,175,229,1722,307,377,964,1074,1079,885,1002,889,1135,1137,1359,906,567,566,862,592,855,864])).
% 18.89/19.05 cnf(1741,plain,
% 18.89/19.05 (P6(x17411,f47(x17411,f41(f53(x17412,a1)),x17412,x17412),x17412,x17412)),
% 18.89/19.05 inference(rename_variables,[],[1074])).
% 18.89/19.05 cnf(1742,plain,
% 18.89/19.05 (~P7(x17421,f47(x17422,f41(f53(x17423,a1)),x17423,x17424),x17424)),
% 18.89/19.05 inference(rename_variables,[],[1079])).
% 18.89/19.05 cnf(1743,plain,
% 18.89/19.05 (P6(f20(x17431,x17432,x17433,x17434),f47(x17432,x17431,x17433,x17434),x17434,x17433)),
% 18.89/19.05 inference(rename_variables,[],[964])).
% 18.89/19.05 cnf(1745,plain,
% 18.89/19.05 (P6(f20(x17451,x17452,x17453,f41(f53(a51,a1))),f47(x17452,x17451,x17453,f23(f41(f53(a51,a1)))),f23(f41(f53(a51,a1))),x17453)),
% 18.89/19.05 inference(scs_inference,[],[161,409,175,229,1722,307,377,964,1743,1074,1079,1174,885,1002,889,1135,1137,1359,906,567,566,862,592,855,864,112])).
% 18.89/19.05 cnf(1746,plain,
% 18.89/19.05 (P6(f20(x17461,x17462,x17463,x17464),f47(x17462,x17461,x17463,x17464),x17464,x17463)),
% 18.89/19.05 inference(rename_variables,[],[964])).
% 18.89/19.05 cnf(1749,plain,
% 18.89/19.05 (~P7(f34(f45(a33,a56),x17491),f14(a25,a54),a51)),
% 18.89/19.05 inference(scs_inference,[],[161,409,175,229,1722,198,307,377,964,1743,1074,1079,1174,885,1002,889,1135,1137,1359,906,567,566,862,592,855,864,112,477,475])).
% 18.89/19.05 cnf(1755,plain,
% 18.89/19.05 (P7(x17551,f27(f46(f34(x17551,x17552),x17553,a51)),a51)),
% 18.89/19.05 inference(scs_inference,[],[161,409,1733,175,229,1722,198,307,377,964,1743,1074,1079,1174,885,1002,889,1135,1137,1359,894,906,912,567,566,862,592,855,864,112,477,475,556,459,526])).
% 18.89/19.05 cnf(1756,plain,
% 18.89/19.05 (P7(x17561,f27(f46(x17561,x17562,a51)),a51)),
% 18.89/19.05 inference(rename_variables,[],[894])).
% 18.89/19.05 cnf(1763,plain,
% 18.89/19.05 (P7(f45(x17631,x17632),f47(x17631,f43(f53(x17633,a1)),x17633,x17634),x17634)),
% 18.89/19.05 inference(rename_variables,[],[307])).
% 18.89/19.05 cnf(1765,plain,
% 18.89/19.05 (~P9(f11(f14(a25,a54),x17651,f53(a51,a1)),f27(f41(f53(a51,a1))),f53(a51,a1))),
% 18.89/19.05 inference(scs_inference,[],[161,409,1733,175,229,1722,198,284,307,1730,377,964,1743,1074,1079,1174,885,1002,889,1135,1137,1139,1359,894,906,912,567,566,862,592,855,864,112,477,475,556,459,526,506,672,859,610])).
% 18.89/19.05 cnf(1766,plain,
% 18.89/19.05 (P11(f53(x17661,a1))),
% 18.89/19.05 inference(rename_variables,[],[1139])).
% 18.89/19.05 cnf(1769,plain,
% 18.89/19.05 (P1(f53(x17691,a1))),
% 18.89/19.05 inference(rename_variables,[],[1145])).
% 18.89/19.05 cnf(1772,plain,
% 18.89/19.05 (P1(f53(x17721,a1))),
% 18.89/19.05 inference(rename_variables,[],[1145])).
% 18.89/19.05 cnf(1776,plain,
% 18.89/19.05 (~P7(f31(x17761),f27(f11(f14(x17762,f3(a2)),f14(x17762,f3(a2)),f53(a51,a1))),a51)),
% 18.89/19.05 inference(scs_inference,[],[161,385,409,1733,175,229,1722,198,404,284,307,1730,377,964,1743,1074,1079,1174,885,1002,889,1135,1137,1139,1145,1769,1359,894,906,912,567,566,862,592,855,864,112,477,475,556,459,526,506,672,859,610,606,604,760,746])).
% 18.89/19.05 cnf(1778,plain,
% 18.89/19.05 (P7(a54,f12(a42,a42,f53(f50(a2),a1)),f50(a2))),
% 18.89/19.05 inference(scs_inference,[],[161,385,409,1733,175,229,1722,198,404,284,307,1730,377,964,1743,1074,1079,1174,885,1002,889,1135,1137,1139,1145,1769,1359,894,906,912,567,566,862,592,855,864,112,477,475,556,459,526,506,672,859,610,606,604,760,746,657])).
% 18.89/19.05 cnf(1782,plain,
% 18.89/19.05 (~P9(f21(x17821,f41(a1),x17822),f41(a1),a1)),
% 18.89/19.05 inference(scs_inference,[],[161,385,409,1733,175,229,1722,198,404,142,284,307,1730,136,377,964,1743,1074,1079,1174,885,1002,889,1135,1137,1139,1145,1769,1359,1034,894,906,912,567,566,862,592,855,864,112,477,475,556,459,526,506,672,859,610,606,604,760,746,657,569,478])).
% 18.89/19.05 cnf(1785,plain,
% 18.89/19.05 (~P19(f45(f17(f47(a33,x17851,a52,a51),f47(a33,x17852,a52,a51),f53(a51,a1)),f31(x17853)))),
% 18.89/19.05 inference(scs_inference,[],[161,385,409,1733,175,229,1722,198,404,341,142,284,307,1730,136,377,964,1743,1074,1079,1174,885,1002,889,1135,1137,1139,1145,1769,1359,1034,894,906,912,567,566,862,592,855,864,112,477,475,556,459,526,506,672,859,610,606,604,760,746,657,569,478,530])).
% 18.89/19.05 cnf(1788,plain,
% 18.89/19.05 (P7(x17881,f27(f46(x17881,x17882,a51)),a51)),
% 18.89/19.05 inference(rename_variables,[],[894])).
% 18.89/19.05 cnf(1792,plain,
% 18.89/19.05 (~P19(f45(f46(f3(x17921),f41(f53(x17922,a1)),x17923),f21(x17924,x17925,x17921)))),
% 18.89/19.05 inference(scs_inference,[],[161,385,409,1733,175,229,1722,198,404,341,162,142,284,307,1730,405,390,136,377,964,1743,1074,1079,1174,885,1002,889,1135,1137,1139,1145,1769,1359,1034,894,1756,906,912,567,566,862,592,855,864,112,477,475,556,459,526,506,672,859,610,606,604,760,746,657,569,478,530,764,787,673])).
% 18.89/19.05 cnf(1793,plain,
% 18.89/19.05 (~P19(f45(f41(f53(x17931,a1)),x17932))),
% 18.89/19.05 inference(rename_variables,[],[405])).
% 18.89/19.05 cnf(1795,plain,
% 18.89/19.05 (P9(f23(f11(x17951,x17952,f53(a51,a1))),f23(f11(f23(x17951),x17952,f53(a51,a1))),f53(a51,a1))),
% 18.89/19.05 inference(scs_inference,[],[161,385,409,1733,175,229,1722,198,404,341,162,169,142,284,307,1730,172,405,390,136,377,964,1743,1074,1079,1174,885,1002,889,1135,1137,1139,1145,1769,1359,1034,894,1756,906,912,567,566,862,592,855,864,112,477,475,556,459,526,506,672,859,610,606,604,760,746,657,569,478,530,764,787,673,777])).
% 18.89/19.05 cnf(1797,plain,
% 18.89/19.05 (P9(x17971,x17971,f53(x17972,a1))),
% 18.89/19.05 inference(rename_variables,[],[169])).
% 18.89/19.05 cnf(1802,plain,
% 18.89/19.05 (~E(f28(x18021),f30(x18022,x18023))),
% 18.89/19.05 inference(rename_variables,[],[358])).
% 18.89/19.05 cnf(1813,plain,
% 18.89/19.05 (P9(x18131,x18131,f53(x18132,a1))),
% 18.89/19.05 inference(rename_variables,[],[169])).
% 18.89/19.05 cnf(1816,plain,
% 18.89/19.05 (P11(f53(x18161,a1))),
% 18.89/19.05 inference(rename_variables,[],[1139])).
% 18.89/19.05 cnf(1819,plain,
% 18.89/19.05 (P1(f53(x18191,a1))),
% 18.89/19.05 inference(rename_variables,[],[1145])).
% 18.89/19.05 cnf(1822,plain,
% 18.89/19.05 (P9(x18221,x18221,f53(x18222,a1))),
% 18.89/19.05 inference(rename_variables,[],[169])).
% 18.89/19.05 cnf(1823,plain,
% 18.89/19.05 (P7(f28(x18231),f35(x18232),a51)),
% 18.89/19.05 inference(rename_variables,[],[164])).
% 18.89/19.05 cnf(1825,plain,
% 18.89/19.05 (~P7(f16(x18251,x18252,f30(f45(a40,x18252),f34(f31(x18253),f34(f28(x18254),f34(f45(a33,x18255),f34(f32(f34(x18256,f45(a33,a56))),f45(a33,a56))))))),f24(a54,a2),a2)),
% 18.89/19.05 inference(scs_inference,[],[161,385,358,409,1733,175,229,1722,198,404,341,162,169,1797,1813,164,397,142,284,307,1730,172,405,390,136,377,964,1743,887,1074,1079,1174,885,1002,889,1135,1137,1139,1766,1145,1769,1772,1359,1034,1295,1054,894,1756,906,908,1297,912,1028,567,566,862,592,855,864,112,477,475,556,459,526,506,672,859,610,606,604,760,746,657,569,478,530,764,787,673,777,585,850,588,737,735,783,638,635,754,854])).
% 18.89/19.05 cnf(1834,plain,
% 18.89/19.05 (P9(x18341,f11(x18342,x18341,f53(x18343,a1)),f53(x18343,a1))),
% 18.89/19.05 inference(rename_variables,[],[229])).
% 18.89/19.05 cnf(1841,plain,
% 18.89/19.05 (P9(x18411,f11(x18412,x18411,f53(x18413,a1)),f53(x18413,a1))),
% 18.89/19.05 inference(rename_variables,[],[229])).
% 18.89/19.05 cnf(1844,plain,
% 18.89/19.05 (P9(f17(f47(x18441,x18442,x18443,x18444),f47(x18441,x18445,x18443,x18444),f53(x18444,a1)),f47(x18441,f17(x18442,x18445,f53(x18443,a1)),x18443,x18444),f53(x18444,a1))),
% 18.89/19.05 inference(rename_variables,[],[341])).
% 18.89/19.05 cnf(1845,plain,
% 18.89/19.05 (P6(f20(x18451,x18452,x18453,x18454),f47(x18452,x18451,x18453,x18454),x18454,x18453)),
% 18.89/19.05 inference(rename_variables,[],[964])).
% 18.89/19.05 cnf(1849,plain,
% 18.89/19.05 (P6(f20(x18491,x18492,x18493,x18494),f47(x18492,x18491,x18493,x18494),x18494,x18493)),
% 18.89/19.05 inference(rename_variables,[],[964])).
% 18.89/19.05 cnf(1852,plain,
% 18.89/19.05 (~E(f12(a42,a42,f53(f50(a2),a1)),f41(f53(f50(a2),a1)))),
% 18.89/19.05 inference(scs_inference,[],[161,385,358,409,1733,175,229,1722,1726,1834,198,404,341,1844,248,162,169,1797,1813,164,397,142,284,307,1730,172,405,225,390,136,377,964,1743,1746,1845,887,1074,1079,1174,885,1002,877,889,897,1135,1137,1139,1766,1145,1769,1772,1359,1034,1295,1054,894,1756,906,908,1297,912,1028,567,566,862,592,855,864,112,477,475,556,459,526,506,672,859,610,606,604,760,746,657,569,478,530,764,787,673,777,585,850,588,737,735,783,638,635,754,854,549,685,618,676,620,704,833,832,630])).
% 18.89/19.05 cnf(1858,plain,
% 18.89/19.05 (E(f45(x18581,f6(f45(x18581,x18582),x18581,x18583,x18584)),f45(x18581,x18582))),
% 18.89/19.05 inference(rename_variables,[],[967])).
% 18.89/19.05 cnf(1861,plain,
% 18.89/19.05 (E(f45(x18611,f6(f45(x18611,x18612),x18611,x18613,x18614)),f45(x18611,x18612))),
% 18.89/19.05 inference(rename_variables,[],[967])).
% 18.89/19.05 cnf(1866,plain,
% 18.89/19.05 (P7(a57,f27(f14(a25,a54)),a51)),
% 18.89/19.05 inference(scs_inference,[],[161,874,385,358,409,1733,175,229,1722,1726,1834,198,404,341,1844,248,162,169,1797,1813,164,397,142,284,307,1730,172,405,225,390,136,181,377,964,1743,1746,1845,967,1858,1861,887,1074,1079,1174,885,1002,877,889,897,1135,1137,1139,1766,1145,1769,1772,1359,1034,1295,1054,894,1756,906,908,1297,912,1028,567,566,862,592,855,864,112,477,475,556,459,526,506,672,859,610,606,604,760,746,657,569,478,530,764,787,673,777,585,850,588,737,735,783,638,635,754,854,549,685,618,676,620,704,833,832,630,6,468,443,432,431,527])).
% 18.89/19.05 cnf(1869,plain,
% 18.89/19.05 (P7(x18691,f27(f46(x18691,x18692,a51)),a51)),
% 18.89/19.05 inference(rename_variables,[],[894])).
% 18.89/19.05 cnf(1873,plain,
% 18.89/19.05 (E(f45(x18731,f45(f20(f43(f53(x18732,a1)),x18731,x18732,x18733),f45(x18731,x18734))),f45(x18731,x18734))),
% 18.89/19.05 inference(scs_inference,[],[161,874,385,358,409,1733,175,229,1722,1726,1834,198,404,341,1844,248,162,169,1797,1813,164,397,142,284,307,1730,1763,172,405,225,390,136,181,377,964,1743,1746,1845,967,1858,1861,887,1074,1079,1174,885,1002,877,889,897,1361,1135,1137,1139,1766,1145,1769,1772,1359,1034,1295,1054,894,1756,1788,906,908,1297,912,1028,567,566,862,592,855,864,112,477,475,556,459,526,506,672,859,610,606,604,760,746,657,569,478,530,764,787,673,777,585,850,588,737,735,783,638,635,754,854,549,685,618,676,620,704,833,832,630,6,468,443,432,431,527,525,827,825])).
% 18.89/19.05 cnf(1875,plain,
% 18.89/19.05 (~P15(f45(f18(x18751,x18752,f53(a51,a1),x18753,x18754),x18752))),
% 18.89/19.05 inference(scs_inference,[],[161,874,385,358,409,1733,175,229,1722,1726,1834,198,404,341,1844,339,248,162,169,1797,1813,164,397,142,284,307,1730,1763,172,405,225,390,136,181,377,964,1743,1746,1845,967,1858,1861,887,1070,1074,1079,1174,885,1002,877,889,897,1361,1135,1137,1139,1766,1145,1769,1772,1359,1034,1295,1054,894,1756,1788,906,908,1297,912,1028,567,566,862,592,855,864,112,477,475,556,459,526,506,672,859,610,606,604,760,746,657,569,478,530,764,787,673,777,585,850,588,737,735,783,638,635,754,854,549,685,618,676,620,704,833,832,630,6,468,443,432,431,527,525,827,825,125])).
% 18.89/19.05 cnf(1876,plain,
% 18.89/19.05 (E(f45(f18(x18761,x18762,x18763,x18764,x18765),x18762),x18763)),
% 18.89/19.05 inference(rename_variables,[],[339])).
% 18.89/19.05 cnf(1877,plain,
% 18.89/19.05 (~E(f45(f43(f53(x18771,a1)),x18772),f45(f41(f53(x18773,a1)),x18774))),
% 18.89/19.05 inference(scs_inference,[],[161,874,385,358,409,1733,175,229,1722,1726,1834,198,197,404,341,1844,339,248,162,169,1797,1813,164,397,142,284,307,1730,1763,172,405,1793,225,390,136,181,377,964,1743,1746,1845,967,1858,1861,887,1070,1074,1079,1174,885,1002,877,889,897,1361,1135,1137,1139,1766,1145,1769,1772,1359,1034,1295,1054,894,1756,1788,906,908,1297,912,1028,567,566,862,592,855,864,112,477,475,556,459,526,506,672,859,610,606,604,760,746,657,569,478,530,764,787,673,777,585,850,588,737,735,783,638,635,754,854,549,685,618,676,620,704,833,832,630,6,468,443,432,431,527,525,827,825,125,116])).
% 18.89/19.05 cnf(1879,plain,
% 18.89/19.05 (~P7(f31(x18791),f47(a33,x18792,a52,a51),a51)),
% 18.89/19.05 inference(rename_variables,[],[409])).
% 18.89/19.05 cnf(1880,plain,
% 18.89/19.05 (E(f45(f18(x18801,x18802,x18803,x18804,x18805),x18802),x18803)),
% 18.89/19.05 inference(rename_variables,[],[339])).
% 18.89/19.05 cnf(1882,plain,
% 18.89/19.05 (~E(f21(x18821,x18822,x18823),f3(x18823))),
% 18.89/19.05 inference(rename_variables,[],[385])).
% 18.89/19.05 cnf(1883,plain,
% 18.89/19.05 (~P7(f45(a33,f45(a40,a26)),f23(f14(a25,a54)),a51)),
% 18.89/19.05 inference(scs_inference,[],[161,874,385,358,409,1733,175,229,1722,1726,1834,198,197,404,341,1844,339,1876,248,162,169,1797,1813,164,397,142,284,307,1730,1763,172,405,1793,225,390,136,181,377,964,1743,1746,1845,967,1858,1861,887,1070,1074,1079,1174,1195,885,1002,877,889,897,1361,1135,1137,1139,1766,1145,1769,1772,1359,1034,1295,1054,894,1756,1788,906,908,1297,912,1028,567,566,862,592,855,864,112,477,475,556,459,526,506,672,859,610,606,604,760,746,657,569,478,530,764,787,673,777,585,850,588,737,735,783,638,635,754,854,549,685,618,676,620,704,833,832,630,6,468,443,432,431,527,525,827,825,125,116,104,3,671])).
% 18.89/19.05 cnf(1885,plain,
% 18.89/19.05 (P7(f45(a33,f45(a40,a25)),f23(f14(a25,a54)),a51)),
% 18.89/19.05 inference(scs_inference,[],[161,874,385,358,409,1733,175,229,1722,1726,1834,198,197,404,341,1844,339,1876,248,162,169,1797,1813,164,397,142,284,307,1730,1763,172,405,1793,225,390,159,136,181,377,964,1743,1746,1845,967,1858,1861,887,1070,1074,1079,1174,1195,885,1002,877,889,897,1361,1135,1137,1139,1766,1145,1769,1772,1359,1034,1295,1054,894,1756,1788,906,908,1297,912,1028,567,566,862,592,855,864,112,477,475,556,459,526,506,672,859,610,606,604,760,746,657,569,478,530,764,787,673,777,585,850,588,737,735,783,638,635,754,854,549,685,618,676,620,704,833,832,630,6,468,443,432,431,527,525,827,825,125,116,104,3,671,640])).
% 18.89/19.05 cnf(1888,plain,
% 18.89/19.05 (~P9(f21(x18881,f41(f53(x18882,a1)),x18883),f41(f53(x18882,a1)),f53(x18882,a1))),
% 18.89/19.05 inference(rename_variables,[],[897])).
% 18.89/19.05 cnf(1891,plain,
% 18.89/19.05 (P9(f23(x18911),f27(x18911),f53(a51,a1))),
% 18.89/19.05 inference(rename_variables,[],[175])).
% 18.89/19.05 cnf(1893,plain,
% 18.89/19.05 (~E(f46(f21(x18931,x18932,x18933),f46(f21(x18931,x18932,x18933),f41(f53(x18934,a1)),x18934),x18934),f46(x18935,f46(f3(x18933),f41(f53(x18934,a1)),x18934),x18934))),
% 18.89/19.05 inference(scs_inference,[],[161,874,385,1882,358,409,1733,175,229,1722,1726,1834,198,197,404,341,1844,339,1876,248,162,169,1797,1813,164,397,142,284,307,1730,1763,172,405,1793,225,390,159,136,181,377,964,1743,1746,1845,967,1858,1861,887,1070,1074,1079,1174,1195,885,1002,877,889,897,1361,1135,1137,1139,1766,1816,1145,1769,1772,1359,1034,1295,1054,894,1756,1788,906,908,1297,912,1028,567,566,862,592,855,864,112,477,475,556,459,526,506,672,859,610,606,604,760,746,657,569,478,530,764,787,673,777,585,850,588,737,735,783,638,635,754,854,549,685,618,676,620,704,833,832,630,6,468,443,432,431,527,525,827,825,125,116,104,3,671,640,608,591,761])).
% 18.89/19.05 cnf(1895,plain,
% 18.89/19.05 (~P7(f30(f45(a40,a25),f34(f45(a33,a56),x18951)),f23(f14(a25,a54)),a51)),
% 18.89/19.05 inference(scs_inference,[],[161,874,385,1882,358,409,1733,175,229,1722,1726,1834,198,197,404,341,1844,339,1876,248,162,169,1797,1813,164,397,142,284,307,1730,1763,172,405,1793,225,390,159,136,181,377,964,1743,1746,1845,967,1858,1861,887,1070,1074,1079,1174,1195,885,1002,877,889,897,1361,1135,1137,1139,1766,1816,1145,1769,1772,1359,1034,1295,1054,894,1756,1788,906,908,1297,912,1028,567,566,862,592,855,864,112,477,475,556,459,526,506,672,859,610,606,604,760,746,657,569,478,530,764,787,673,777,585,850,588,737,735,783,638,635,754,854,549,685,618,676,620,704,833,832,630,6,468,443,432,431,527,525,827,825,125,116,104,3,671,640,608,591,761,695])).
% 18.89/19.05 cnf(1898,plain,
% 18.89/19.05 (P7(x18981,f48(x18982,f46(f45(x18982,x18981),f41(f53(x18983,a1)),x18983),x18984,x18983),x18984)),
% 18.89/19.05 inference(rename_variables,[],[321])).
% 18.89/19.05 cnf(1901,plain,
% 18.89/19.05 (P1(f53(x19011,a1))),
% 18.89/19.05 inference(rename_variables,[],[1145])).
% 18.89/19.05 cnf(1917,plain,
% 18.89/19.05 (P9(x19171,f11(x19172,x19171,f53(x19173,a1)),f53(x19173,a1))),
% 18.89/19.05 inference(rename_variables,[],[229])).
% 18.89/19.05 cnf(1920,plain,
% 18.89/19.05 (P7(f32(f28(x19201)),f35(x19202),a51)),
% 18.89/19.05 inference(rename_variables,[],[1397])).
% 18.89/19.05 cnf(1930,plain,
% 18.89/19.05 (~P7(f30(x19301,x19302),f35(f47(a33,f41(f53(a52,a1)),a52,a51)),a51)),
% 18.89/19.05 inference(scs_inference,[],[161,874,385,1882,358,388,409,1733,1879,411,175,229,1722,1726,1834,1841,1917,198,376,197,196,404,321,341,1844,339,1876,248,162,169,1797,1813,164,1823,397,142,149,284,307,1730,1763,130,172,405,1793,225,390,159,136,181,377,964,1743,1746,1845,967,1858,1861,887,1070,1074,1079,1742,1174,1195,885,1002,877,889,897,1017,1361,1011,1135,1137,1139,1766,1816,1145,1769,1772,1819,1397,1359,1031,1034,1295,1054,894,1756,1788,906,908,1297,912,1028,567,566,862,592,855,864,112,477,475,556,459,526,506,672,859,610,606,604,760,746,657,569,478,530,764,787,673,777,585,850,588,737,735,783,638,635,754,854,549,685,618,676,620,704,833,832,630,6,468,443,432,431,527,525,827,825,125,116,104,3,671,640,608,591,761,695,647,483,480,848,722,776,715,616,721,725,703,701,677,595])).
% 18.89/19.05 cnf(1932,plain,
% 18.89/19.05 (~P7(x19321,f47(x19322,f41(f53(x19323,a1)),x19323,x19324),x19324)),
% 18.89/19.05 inference(rename_variables,[],[1079])).
% 18.89/19.05 cnf(1935,plain,
% 18.89/19.05 (~P7(x19351,f47(x19352,f41(f53(x19353,a1)),x19353,x19354),x19354)),
% 18.89/19.05 inference(rename_variables,[],[1079])).
% 18.89/19.05 cnf(1938,plain,
% 18.89/19.05 (~P7(x19381,f47(x19382,f41(f53(x19383,a1)),x19383,x19384),x19384)),
% 18.89/19.05 inference(rename_variables,[],[1079])).
% 18.89/19.05 cnf(1949,plain,
% 18.89/19.05 (P9(f12(x19491,x19492,f53(x19493,a1)),x19492,f53(x19493,a1))),
% 18.89/19.05 inference(rename_variables,[],[231])).
% 18.89/19.05 cnf(1956,plain,
% 18.89/19.05 (~P9(f11(x19561,f11(x19562,f14(a25,a54),f53(a51,a1)),f53(a51,a1)),f27(f41(f53(a51,a1))),f53(a51,a1))),
% 18.89/19.05 inference(scs_inference,[],[161,874,385,1882,358,1802,388,409,1733,1879,411,175,1891,229,1722,1726,1834,1841,1917,198,376,197,196,404,321,341,1844,339,1876,248,162,169,1797,1813,164,1823,231,397,142,149,284,307,1730,1763,130,172,405,1793,225,390,159,136,181,377,964,1743,1746,1845,967,1858,1861,887,1070,1074,1079,1742,1932,1935,1174,1195,991,885,1735,1002,877,889,897,1888,1017,1361,1011,1135,1137,1139,1766,1816,1145,1769,1772,1819,1397,1359,1031,1034,1295,1054,894,1756,1788,906,908,1297,912,1028,567,566,862,592,855,864,112,477,475,556,459,526,506,672,859,610,606,604,760,746,657,569,478,530,764,787,673,777,585,850,588,737,735,783,638,635,754,854,549,685,618,676,620,704,833,832,630,6,468,443,432,431,527,525,827,825,125,116,104,3,671,640,608,591,761,695,647,483,480,848,722,776,715,616,721,725,703,701,677,595,587,586,736,847,820,841,642,687,686])).
% 18.89/19.05 cnf(1960,plain,
% 18.89/19.05 (~P9(f46(x19601,f14(a25,a54),a51),f27(f41(f53(a51,a1))),f53(a51,a1))),
% 18.89/19.05 inference(scs_inference,[],[161,874,385,1882,358,1802,388,409,1733,1879,411,175,1891,229,1722,1726,1834,1841,1917,198,376,197,196,404,321,341,1844,339,1876,248,162,169,1797,1813,164,1823,231,397,142,149,284,307,1730,1763,130,172,405,1793,225,390,159,136,181,377,964,1743,1746,1845,967,1858,1861,887,1070,1074,1079,1742,1932,1935,1174,1195,991,885,1735,1002,877,889,897,1888,1017,1361,1011,1135,1137,1139,1766,1816,1145,1769,1772,1819,1397,1359,1031,1034,1295,1054,894,1756,1788,906,908,1297,912,1028,567,566,862,592,855,864,112,477,475,556,459,526,506,672,859,610,606,604,760,746,657,569,478,530,764,787,673,777,585,850,588,737,735,783,638,635,754,854,549,685,618,676,620,704,833,832,630,6,468,443,432,431,527,525,827,825,125,116,104,3,671,640,608,591,761,695,647,483,480,848,722,776,715,616,721,725,703,701,677,595,587,586,736,847,820,841,642,687,686,684,655])).
% 18.89/19.05 cnf(1962,plain,
% 18.89/19.05 (~P7(f45(a33,x19621),f46(f28(x19622),f41(f53(x19623,a1)),x19623),x19623)),
% 18.89/19.05 inference(scs_inference,[],[161,874,385,1882,358,1802,388,409,1733,1879,411,175,1891,229,1722,1726,1834,1841,1917,198,376,197,196,404,321,341,1844,339,1876,248,162,169,1797,1813,164,1823,231,397,142,149,284,307,1730,1763,130,172,405,1793,225,390,159,136,181,377,964,1743,1746,1845,967,1858,1861,887,1070,1074,1079,1742,1932,1935,1174,1195,991,885,1735,1002,1413,877,889,897,1888,1017,1361,1011,1135,1137,1139,1766,1816,1145,1769,1772,1819,1397,1359,1031,1034,1295,1054,894,1756,1788,906,908,1297,912,1028,567,566,862,592,855,864,112,477,475,556,459,526,506,672,859,610,606,604,760,746,657,569,478,530,764,787,673,777,585,850,588,737,735,783,638,635,754,854,549,685,618,676,620,704,833,832,630,6,468,443,432,431,527,525,827,825,125,116,104,3,671,640,608,591,761,695,647,483,480,848,722,776,715,616,721,725,703,701,677,595,587,586,736,847,820,841,642,687,686,684,655,750])).
% 18.89/19.05 cnf(1966,plain,
% 18.89/19.05 (~P9(f14(a25,a54),f45(f18(x19661,x19662,f27(f41(f53(a51,a1))),x19663,x19664),x19662),f53(a51,a1))),
% 18.89/19.05 inference(scs_inference,[],[161,874,385,1882,358,1802,388,409,1733,1879,411,175,1891,229,1722,1726,1834,1841,1917,198,376,197,196,404,321,341,1844,339,1876,1880,248,160,162,169,1797,1813,164,1823,231,397,142,149,284,307,1730,1763,130,172,405,1793,225,390,159,136,181,377,964,1743,1746,1845,967,1858,1861,887,1070,1074,1079,1742,1932,1935,1174,1195,991,885,1735,1002,1413,877,889,897,1888,1017,1361,1011,1135,1137,1139,1766,1816,1145,1769,1772,1819,1397,1359,1031,1034,1295,1054,894,1756,1788,906,908,1297,912,1028,567,566,862,592,855,864,112,477,475,556,459,526,506,672,859,610,606,604,760,746,657,569,478,530,764,787,673,777,585,850,588,737,735,783,638,635,754,854,549,685,618,676,620,704,833,832,630,6,468,443,432,431,527,525,827,825,125,116,104,3,671,640,608,591,761,695,647,483,480,848,722,776,715,616,721,725,703,701,677,595,587,586,736,847,820,841,642,687,686,684,655,750,127,108])).
% 18.89/19.05 cnf(1967,plain,
% 18.89/19.05 (E(f45(f18(x19671,x19672,x19673,x19674,x19675),x19672),x19673)),
% 18.89/19.05 inference(rename_variables,[],[339])).
% 18.89/19.05 cnf(1969,plain,
% 18.89/19.05 (E(f45(f18(x19691,x19692,x19693,x19694,x19695),x19692),x19693)),
% 18.89/19.05 inference(rename_variables,[],[339])).
% 18.89/19.05 cnf(1973,plain,
% 18.89/19.05 (~P7(f45(a33,a56),f23(f46(f28(x19731),f23(f23(f14(a25,a54))),a51)),a51)),
% 18.89/19.05 inference(scs_inference,[],[161,874,385,1882,358,1802,388,409,1733,1879,411,175,1891,229,1722,1726,1834,1841,1917,198,376,197,196,404,264,321,289,292,341,1844,339,1876,1880,1967,248,160,162,169,1797,1813,164,1823,231,397,142,149,284,307,1730,1763,130,172,405,1793,225,390,159,136,181,377,964,1743,1746,1845,967,1858,1861,887,1070,1074,1079,1742,1932,1935,1174,1195,991,885,1735,1002,1413,877,889,897,1888,1017,1361,1011,1135,1137,1139,1766,1816,1145,1769,1772,1819,1397,1359,1031,1034,1295,1054,894,1756,1788,906,908,1297,912,1028,567,566,862,592,855,864,112,477,475,556,459,526,506,672,859,610,606,604,760,746,657,569,478,530,764,787,673,777,585,850,588,737,735,783,638,635,754,854,549,685,618,676,620,704,833,832,630,6,468,443,432,431,527,525,827,825,125,116,104,3,671,640,608,591,761,695,647,483,480,848,722,776,715,616,721,725,703,701,677,595,587,586,736,847,820,841,642,687,686,684,655,750,127,108,105,572,589])).
% 18.89/19.05 cnf(1983,plain,
% 18.89/19.05 (P7(f32(f28(x19831)),f35(x19832),a51)),
% 18.89/19.05 inference(rename_variables,[],[1397])).
% 18.89/19.05 cnf(1988,plain,
% 18.89/19.05 (~P9(f14(a25,a54),f41(f53(a51,a1)),f53(a51,a1))),
% 18.89/19.05 inference(scs_inference,[],[161,874,385,1882,358,1802,388,409,1733,1879,411,398,175,1891,229,1722,1726,1834,1841,1917,198,376,197,196,404,264,321,289,292,341,1844,339,1876,1880,1967,248,160,162,169,1797,1813,164,1823,231,397,142,149,284,307,1730,1763,130,172,405,1793,225,390,159,136,181,377,964,1743,1746,1845,967,1858,1861,887,1070,1074,1079,1742,1932,1935,1174,1195,991,885,1735,1002,1413,877,889,897,1888,1017,1361,1011,1135,1137,1139,1766,1816,1145,1769,1772,1819,1397,1920,1359,1031,1034,1295,1054,894,1756,1788,906,908,1297,912,1028,1269,567,566,862,592,855,864,112,477,475,556,459,526,506,672,859,610,606,604,760,746,657,569,478,530,764,787,673,777,585,850,588,737,735,783,638,635,754,854,549,685,618,676,620,704,833,832,630,6,468,443,432,431,527,525,827,825,125,116,104,3,671,640,608,591,761,695,647,483,480,848,722,776,715,616,721,725,703,701,677,595,587,586,736,847,820,841,642,687,686,684,655,750,127,108,105,572,589,678,784,756,26,486,539])).
% 18.89/19.05 cnf(1994,plain,
% 18.89/19.05 (~E(f45(a33,x19941),f32(x19942))),
% 18.89/19.05 inference(rename_variables,[],[356])).
% 18.89/19.05 cnf(1997,plain,
% 18.89/19.05 (P1(f53(x19971,a1))),
% 18.89/19.05 inference(rename_variables,[],[1145])).
% 18.89/19.05 cnf(2000,plain,
% 18.89/19.05 (P11(f53(x20001,a1))),
% 18.89/19.05 inference(rename_variables,[],[1139])).
% 18.89/19.05 cnf(2005,plain,
% 18.89/19.05 (P7(x20051,f48(x20052,f46(f45(x20052,x20051),f41(f53(x20053,a1)),x20053),x20054,x20053),x20054)),
% 18.89/19.05 inference(rename_variables,[],[321])).
% 18.89/19.05 cnf(2008,plain,
% 18.89/19.05 (~P14(f45(f5(f53(x20081,a1),x20082,x20083),x20084))),
% 18.89/19.05 inference(scs_inference,[],[161,874,875,385,1882,358,1802,388,356,409,1733,1879,411,398,175,1891,229,1722,1726,1834,1841,1917,198,376,197,196,404,264,321,1898,289,292,341,1844,339,1876,1880,1967,1969,182,248,160,162,169,1797,1813,1822,164,1823,231,333,397,142,149,284,307,1730,1763,130,172,242,405,1793,225,390,159,136,181,377,964,1743,1746,1845,967,1858,1861,887,1070,1074,1079,1742,1932,1935,1174,1195,991,885,1735,1002,1413,877,889,897,1888,1017,1361,1011,1013,1135,1137,1139,1766,1816,1145,1769,1772,1819,1901,1397,1920,1359,1031,1034,1295,1054,894,1756,1788,906,908,1297,912,1028,1269,567,566,862,592,855,864,112,477,475,556,459,526,506,672,859,610,606,604,760,746,657,569,478,530,764,787,673,777,585,850,588,737,735,783,638,635,754,854,549,685,618,676,620,704,833,832,630,6,468,443,432,431,527,525,827,825,125,116,104,3,671,640,608,591,761,695,647,483,480,848,722,776,715,616,721,725,703,701,677,595,587,586,736,847,820,841,642,687,686,684,655,750,127,108,105,572,589,678,784,756,26,486,539,564,806,481,479,818,583,126,124])).
% 18.89/19.05 cnf(2009,plain,
% 18.89/19.05 (E(f45(f5(x20091,x20092,x20093),x20094),x20091)),
% 18.89/19.05 inference(rename_variables,[],[182])).
% 18.89/19.05 cnf(2011,plain,
% 18.89/19.05 (E(f45(f5(x20111,x20112,x20113),x20114),x20111)),
% 18.89/19.05 inference(rename_variables,[],[182])).
% 18.89/19.05 cnf(2012,plain,
% 18.89/19.05 (~P9(f45(f5(f14(a25,a54),x20121,x20122),x20123),f27(f41(f53(a51,a1))),f53(a51,a1))),
% 18.89/19.05 inference(scs_inference,[],[161,874,875,385,1882,358,1802,388,356,409,1733,1879,411,398,175,1891,229,1722,1726,1834,1841,1917,198,376,197,196,404,264,321,1898,289,292,341,1844,339,1876,1880,1967,1969,182,2009,2011,248,160,162,169,1797,1813,1822,164,1823,231,333,397,142,149,284,307,1730,1763,130,172,242,405,1793,225,390,159,136,181,377,964,1743,1746,1845,967,1858,1861,887,1070,1074,1079,1742,1932,1935,1174,1195,991,885,1735,1002,1413,877,889,897,1888,1017,1361,1011,1013,1135,1137,1139,1766,1816,1145,1769,1772,1819,1901,1397,1920,1359,1031,1034,1295,1054,894,1756,1788,906,908,1297,912,1028,1269,567,566,862,592,855,864,112,477,475,556,459,526,506,672,859,610,606,604,760,746,657,569,478,530,764,787,673,777,585,850,588,737,735,783,638,635,754,854,549,685,618,676,620,704,833,832,630,6,468,443,432,431,527,525,827,825,125,116,104,3,671,640,608,591,761,695,647,483,480,848,722,776,715,616,721,725,703,701,677,595,587,586,736,847,820,841,642,687,686,684,655,750,127,108,105,572,589,678,784,756,26,486,539,564,806,481,479,818,583,126,124,109,107])).
% 18.89/19.05 cnf(2013,plain,
% 18.89/19.05 (E(f45(f5(x20131,x20132,x20133),x20134),x20131)),
% 18.89/19.05 inference(rename_variables,[],[182])).
% 18.89/19.05 cnf(2019,plain,
% 18.89/19.05 (~E(a1,x20191)+P18(x20191)),
% 18.89/19.05 inference(scs_inference,[],[161,874,875,385,1882,358,1802,388,356,409,1733,1879,411,398,175,1891,229,1722,1726,1834,1841,1917,198,376,197,196,404,264,321,1898,289,292,341,1844,339,1876,1880,1967,1969,182,2009,2011,2013,248,160,162,169,1797,1813,1822,164,1823,231,333,397,142,147,149,284,307,1730,1763,130,172,242,405,1793,225,390,159,136,181,377,964,1743,1746,1845,967,1858,1861,1516,887,1070,1074,1079,1742,1932,1935,1174,1195,991,885,1735,1002,1413,877,889,897,1888,1017,1361,1011,1013,1135,1137,1139,1766,1816,1145,1769,1772,1819,1901,1397,1920,1359,1031,1034,1295,1054,894,1756,1788,906,908,1297,912,1028,1269,567,566,862,592,855,864,112,477,475,556,459,526,506,672,859,610,606,604,760,746,657,569,478,530,764,787,673,777,585,850,588,737,735,783,638,635,754,854,549,685,618,676,620,704,833,832,630,6,468,443,432,431,527,525,827,825,125,116,104,3,671,640,608,591,761,695,647,483,480,848,722,776,715,616,721,725,703,701,677,595,587,586,736,847,820,841,642,687,686,684,655,750,127,108,105,572,589,678,784,756,26,486,539,564,806,481,479,818,583,126,124,109,107,2,103,9,123])).
% 18.89/19.05 cnf(2030,plain,
% 18.89/19.05 (P7(f32(f28(x20301)),f35(x20302),a51)),
% 18.89/19.05 inference(rename_variables,[],[1397])).
% 18.89/19.05 cnf(2036,plain,
% 18.89/19.05 (P7(f30(f45(f44(x20361),x20362),f28(x20363)),f35(f23(f14(a25,f3(a2)))),a51)),
% 18.89/19.05 inference(scs_inference,[],[161,874,875,385,1882,358,1802,388,356,409,1733,1879,411,398,175,1891,229,1722,1726,1834,1841,1917,198,376,197,196,404,264,321,1898,2005,289,292,341,1844,339,1876,1880,1967,1969,182,2009,2011,2013,248,160,162,169,1797,1813,1822,164,1823,231,333,397,142,147,149,284,307,1730,1763,167,130,172,242,405,1793,225,390,159,136,181,377,964,1743,1746,1845,967,1858,1861,1516,887,1070,1074,1079,1742,1932,1935,1174,1195,991,885,1735,1002,1413,877,889,897,1888,1017,1361,1011,1013,1135,1137,1139,1766,1816,1145,1769,1772,1819,1901,1397,1920,1983,2030,1359,1031,1034,1295,1054,894,1756,1788,1869,906,908,1297,912,1028,1269,567,566,862,592,855,864,112,477,475,556,459,526,506,672,859,610,606,604,760,746,657,569,478,530,764,787,673,777,585,850,588,737,735,783,638,635,754,854,549,685,618,676,620,704,833,832,630,6,468,443,432,431,527,525,827,825,125,116,104,3,671,640,608,591,761,695,647,483,480,848,722,776,715,616,721,725,703,701,677,595,587,586,736,847,820,841,642,687,686,684,655,750,127,108,105,572,589,678,784,756,26,486,539,564,806,481,479,818,583,126,124,109,107,2,103,9,123,653,674,476,584,785,751,599])).
% 18.89/19.05 cnf(2056,plain,
% 18.89/19.05 (P7(f45(x20561,a54),f47(x20561,a42,f50(a2),x20562),x20562)),
% 18.89/19.05 inference(rename_variables,[],[1361])).
% 18.89/19.05 cnf(2061,plain,
% 18.89/19.05 (~P9(f46(a26,f41(f53(x20611,a1)),x20611),f46(a25,f41(f53(x20611,a1)),x20611),f53(x20611,a1))),
% 18.89/19.05 inference(scs_inference,[],[161,874,875,385,1882,358,1802,388,356,409,1733,1879,411,398,175,1891,229,1722,1726,1834,1841,1917,198,376,197,196,404,264,321,1898,2005,289,292,341,1844,339,1876,1880,1967,1969,182,2009,2011,2013,248,160,162,169,1797,1813,1822,164,1823,231,333,394,397,142,147,149,284,307,1730,1763,167,130,172,242,405,1793,225,390,159,136,181,377,964,1743,1746,1845,1849,967,1858,1861,1516,887,1070,1074,1079,1742,1932,1935,1938,1174,1195,991,885,1735,1002,1413,877,889,897,1888,1017,1361,2056,1011,1273,1013,1135,1137,1139,1766,1816,2000,1145,1769,1772,1819,1901,1997,1397,1920,1983,2030,1359,1031,1034,1295,1049,1054,894,1756,1788,1869,906,908,1297,912,1028,1269,567,566,862,592,855,864,112,477,475,556,459,526,506,672,859,610,606,604,760,746,657,569,478,530,764,787,673,777,585,850,588,737,735,783,638,635,754,854,549,685,618,676,620,704,833,832,630,6,468,443,432,431,527,525,827,825,125,116,104,3,671,640,608,591,761,695,647,483,480,848,722,776,715,616,721,725,703,701,677,595,587,586,736,847,820,841,642,687,686,684,655,750,127,108,105,572,589,678,784,756,26,486,539,564,806,481,479,818,583,126,124,109,107,2,103,9,123,653,674,476,584,785,751,599,551,860,649,745,579,578,577,782,780,726])).
% 18.89/19.05 cnf(2073,plain,
% 18.89/19.05 (P6(f20(f41(f53(x20731,a1)),x20732,x20731,x20731),f12(x20733,f47(x20732,f41(f53(x20731,a1)),x20731,x20731),f53(x20731,a1)),x20731,x20731)),
% 18.89/19.06 inference(scs_inference,[],[161,874,875,385,1882,358,1802,388,356,409,1733,1879,411,398,175,1891,229,1722,1726,1834,1841,1917,198,376,197,196,404,264,321,1898,2005,289,292,341,1844,339,1876,1880,1967,1969,182,2009,2011,2013,248,160,162,169,1797,1813,1822,174,164,1823,231,1949,333,188,394,397,142,147,149,284,307,1730,1763,167,130,172,242,405,1793,225,390,159,136,181,377,964,1743,1746,1845,1849,967,1858,1861,1516,887,1070,1074,1079,1742,1932,1935,1938,1174,1195,991,885,1735,1002,1413,877,889,897,1888,1017,1361,2056,1011,1273,1013,1135,1137,1727,1139,1766,1816,2000,1145,1769,1772,1819,1901,1997,1397,1920,1983,2030,1359,1031,1034,1295,1049,1054,894,1756,1788,1869,906,908,1297,912,1028,1269,567,566,862,592,855,864,112,477,475,556,459,526,506,672,859,610,606,604,760,746,657,569,478,530,764,787,673,777,585,850,588,737,735,783,638,635,754,854,549,685,618,676,620,704,833,832,630,6,468,443,432,431,527,525,827,825,125,116,104,3,671,640,608,591,761,695,647,483,480,848,722,776,715,616,721,725,703,701,677,595,587,586,736,847,820,841,642,687,686,684,655,750,127,108,105,572,589,678,784,756,26,486,539,564,806,481,479,818,583,126,124,109,107,2,103,9,123,653,674,476,584,785,751,599,551,860,649,745,579,578,577,782,780,726,802,516,753])).
% 18.89/19.06 cnf(2078,plain,
% 18.89/19.06 (~P7(f32(x20781),f47(a33,f47(a33,f41(f53(x20782,a1)),x20782,x20782),x20782,x20782),x20782)),
% 18.89/19.06 inference(scs_inference,[],[161,874,875,385,1882,358,1802,388,356,1994,409,1733,1879,411,398,175,1891,229,1722,1726,1834,1841,1917,198,376,197,196,404,264,321,1898,2005,289,292,341,1844,339,1876,1880,1967,1969,182,2009,2011,2013,248,160,162,169,1797,1813,1822,174,164,1823,231,1949,233,333,188,394,397,142,147,149,284,307,1730,1763,167,130,172,242,405,1793,225,390,159,136,181,377,964,1743,1746,1845,1849,967,1858,1861,1516,887,1070,1074,1741,1079,1742,1932,1935,1938,1174,1195,991,885,1735,1002,1413,877,889,897,1888,1017,1361,2056,1011,1273,1013,1135,1137,1727,1139,1766,1816,2000,1145,1769,1772,1819,1901,1997,1397,1920,1983,2030,1359,1031,1034,1295,1049,1054,894,1756,1788,1869,906,908,1297,912,1028,1269,567,566,862,592,855,864,112,477,475,556,459,526,506,672,859,610,606,604,760,746,657,569,478,530,764,787,673,777,585,850,588,737,735,783,638,635,754,854,549,685,618,676,620,704,833,832,630,6,468,443,432,431,527,525,827,825,125,116,104,3,671,640,608,591,761,695,647,483,480,848,722,776,715,616,721,725,703,701,677,595,587,586,736,847,820,841,642,687,686,684,655,750,127,108,105,572,589,678,784,756,26,486,539,564,806,481,479,818,583,126,124,109,107,2,103,9,123,653,674,476,584,785,751,599,551,860,649,745,579,578,577,782,780,726,802,516,753,667,835])).
% 18.89/19.06 cnf(2109,plain,
% 18.89/19.06 (P7(f45(a33,f45(a40,a25)),f23(f14(a25,f21(f16(x21091,x21092,x21093),a54,a2))),a51)),
% 18.89/19.06 inference(scs_inference,[],[1885,808])).
% 18.89/19.06 cnf(2113,plain,
% 18.89/19.06 (~P7(f15(a25,f34(f45(a33,a56),x21131)),f24(a54,a2),a2)),
% 18.89/19.06 inference(scs_inference,[],[1885,1749,808,767,568])).
% 18.89/19.06 cnf(2115,plain,
% 18.89/19.06 (~P7(f30(f45(a40,a25),f45(a33,f45(a40,a26))),f23(f14(a25,a54)),a51)),
% 18.89/19.06 inference(scs_inference,[],[1885,1883,1749,808,767,568,696])).
% 18.89/19.06 cnf(2118,plain,
% 18.89/19.06 (P9(f41(f53(x21181,a1)),x21182,f53(x21181,a1))),
% 18.89/19.06 inference(rename_variables,[],[189])).
% 18.89/19.06 cnf(2136,plain,
% 18.89/19.06 (P11(f53(x21361,a1))),
% 18.89/19.06 inference(rename_variables,[],[1139])).
% 18.89/19.06 cnf(2138,plain,
% 18.89/19.06 (~P7(f16(x21381,x21382,f30(f45(a40,x21382),f34(f31(x21383),f34(f28(x21384),f34(f45(a33,f45(a40,x21385)),f45(a33,f45(a40,a26))))))),f24(a54,a2),a2)),
% 18.89/19.06 inference(scs_inference,[],[290,189,395,307,377,1956,2078,1962,1885,1883,2061,1749,1825,1074,885,1135,1139,161,808,767,568,696,567,592,855,600,856,610,862])).
% 18.89/19.06 cnf(2142,plain,
% 18.89/19.06 (P9(f41(f53(x21421,a1)),x21422,f53(x21421,a1))),
% 18.89/19.06 inference(rename_variables,[],[189])).
% 18.89/19.06 cnf(2143,plain,
% 18.89/19.06 (P12(f53(x21431,a1))),
% 18.89/19.06 inference(rename_variables,[],[1137])).
% 18.89/19.06 cnf(2145,plain,
% 18.89/19.06 (~P7(f45(a33,a56),f23(f46(f28(x21451),f46(f28(x21452),f23(f23(f14(a25,a54))),a51),a51)),a51)),
% 18.89/19.06 inference(scs_inference,[],[290,216,189,2118,395,164,307,377,1956,2012,2078,1962,1885,1883,2061,1749,1825,1973,1074,885,1135,1137,1139,161,808,767,568,696,567,592,855,600,856,610,862,566,754])).
% 18.89/19.06 cnf(2155,plain,
% 18.89/19.06 (P7(f45(a33,f45(f44(x21551),x21552)),f23(f13(x21553)),a51)),
% 18.89/19.06 inference(scs_inference,[],[346,209,290,216,189,2118,395,164,307,377,1956,2012,2078,1962,1885,1883,2061,1749,1825,1973,1866,1074,885,1135,1137,1139,161,808,767,568,696,567,592,855,600,856,610,862,566,754,674,556,476,475])).
% 18.89/19.06 cnf(2161,plain,
% 18.89/19.06 (P7(x21611,f27(f46(f34(f34(x21611,x21612),x21613),x21614,a51)),a51)),
% 18.89/19.06 inference(scs_inference,[],[346,209,290,216,197,189,2118,395,164,307,377,1792,1956,2012,2078,1962,1885,1883,2061,1749,1825,1755,1973,1866,1074,885,1135,1137,1139,161,808,767,568,696,567,592,855,600,856,610,862,566,754,674,556,476,475,468,459,526])).
% 18.89/19.06 cnf(2162,plain,
% 18.89/19.06 (P7(x21621,f27(f46(f34(x21621,x21622),x21623,a51)),a51)),
% 18.89/19.06 inference(rename_variables,[],[1755])).
% 18.89/19.06 cnf(2165,plain,
% 18.89/19.06 (P9(f47(x21651,f12(x21652,x21653,f53(x21654,a1)),x21654,x21655),f12(f47(x21651,x21652,x21654,x21655),f47(x21651,x21653,x21654,x21655),f53(x21655,a1)),f53(x21655,a1))),
% 18.89/19.06 inference(rename_variables,[],[340])).
% 18.89/19.06 cnf(2170,plain,
% 18.89/19.06 (~P7(f31(x21701),f27(f11(f27(f14(x21702,f3(a2))),f27(f14(x21702,f3(a2))),f53(a51,a1))),a51)),
% 18.89/19.06 inference(scs_inference,[],[346,209,290,340,2165,216,197,292,189,2118,395,164,307,377,1792,1956,2012,2078,1962,1885,1883,2061,1749,1825,1776,1755,1973,1866,1074,885,1135,1137,1139,1145,161,808,767,568,696,567,592,855,600,856,610,862,566,754,674,556,476,475,468,459,526,606,604,591])).
% 18.89/19.06 cnf(2175,plain,
% 18.89/19.06 (P19(f45(f27(f46(x21751,x21752,a51)),x21751))),
% 18.89/19.06 inference(scs_inference,[],[346,209,266,290,340,2165,216,197,292,189,2118,395,164,307,236,131,377,1792,1956,2012,2078,1962,1885,1883,2061,1085,1749,1825,1776,1755,1973,1866,1074,885,1135,1137,1139,1145,161,808,767,568,696,567,592,855,600,856,610,862,566,754,674,556,476,475,468,459,526,606,604,591,480,530])).
% 18.89/19.06 cnf(2176,plain,
% 18.89/19.06 (P9(f46(x21761,f27(x21762),a51),f27(f46(x21761,x21762,a51)),f53(a51,a1))),
% 18.89/19.06 inference(rename_variables,[],[266])).
% 18.89/19.06 cnf(2180,plain,
% 18.89/19.06 (P7(x21801,f27(f46(f34(x21801,x21802),x21803,a51)),a51)),
% 18.89/19.06 inference(rename_variables,[],[1755])).
% 18.89/19.06 cnf(2183,plain,
% 18.89/19.06 (P11(f53(x21831,a1))),
% 18.89/19.06 inference(rename_variables,[],[1139])).
% 18.89/19.06 cnf(2188,plain,
% 18.89/19.06 (~P7(f30(x21881,x21882),f14(x21883,f3(a2)),a51)),
% 18.89/19.06 inference(scs_inference,[],[346,254,195,407,209,266,290,340,2165,216,197,292,189,2118,395,164,307,236,131,377,1792,1956,2012,2078,1962,1885,1883,2061,1085,1749,1825,1776,1755,2162,1973,1866,1074,885,1135,1137,1139,2136,1145,161,808,767,568,696,567,592,855,600,856,610,862,566,754,674,556,476,475,468,459,526,606,604,591,480,530,764,638,635,477])).
% 18.89/19.06 cnf(2195,plain,
% 18.89/19.06 (~P7(x21951,f27(f27(f41(f53(a51,a1)))),a51)),
% 18.89/19.06 inference(rename_variables,[],[914])).
% 18.89/19.06 cnf(2204,plain,
% 18.89/19.06 (P11(f53(x22041,a1))),
% 18.89/19.06 inference(rename_variables,[],[1139])).
% 18.89/19.06 cnf(2209,plain,
% 18.89/19.06 (P9(x22091,f11(x22091,x22092,f53(x22093,a1)),f53(x22093,a1))),
% 18.89/19.06 inference(rename_variables,[],[230])).
% 18.89/19.06 cnf(2212,plain,
% 18.89/19.06 (P9(f41(f53(x22121,a1)),x22122,f53(x22121,a1))),
% 18.89/19.06 inference(rename_variables,[],[189])).
% 18.89/19.06 cnf(2221,plain,
% 18.89/19.06 (P9(x22211,f27(f35(x22211)),f53(a51,a1))),
% 18.89/19.06 inference(scs_inference,[],[181,346,254,195,407,209,379,266,290,340,2165,230,216,197,292,189,2118,2142,395,137,164,307,236,131,377,1349,1740,1792,1956,2012,2078,1962,1885,1883,2061,1085,1749,1825,1776,1755,2162,1973,1866,914,2195,1074,1079,885,1135,1137,1139,2136,2183,1145,161,808,767,568,696,567,592,855,600,856,610,862,566,754,674,556,476,475,468,459,526,606,604,591,480,530,764,638,635,477,443,431,506,827,825,608,478,784,703,860,539,549])).
% 18.89/19.06 cnf(2226,plain,
% 18.89/19.06 (P9(f12(x22261,x22262,f53(x22263,a1)),x22261,f53(x22263,a1))),
% 18.89/19.06 inference(rename_variables,[],[232])).
% 18.89/19.06 cnf(2229,plain,
% 18.89/19.06 (P9(x22291,f11(x22291,x22292,f53(x22293,a1)),f53(x22293,a1))),
% 18.89/19.06 inference(rename_variables,[],[230])).
% 18.89/19.06 cnf(2237,plain,
% 18.89/19.06 (P7(f45(x22371,f30(a55,a57)),f47(x22371,f27(f14(a25,a54)),a51,x22372),x22372)),
% 18.89/19.06 inference(scs_inference,[],[181,346,254,195,407,209,379,266,290,291,340,2165,230,2209,216,197,292,189,2118,2142,2212,395,137,164,232,307,242,236,131,377,1349,1740,1792,1956,2012,2078,1962,1885,1883,2061,1085,1749,1825,1776,1755,2162,1973,1866,914,2195,1074,1079,885,1135,1137,1139,2136,2183,1145,161,808,767,568,696,567,592,855,600,856,610,862,566,754,674,556,476,475,468,459,526,606,604,591,480,530,764,638,635,477,443,431,506,827,825,608,478,784,703,860,539,549,687,685,616,486,833,832,745])).
% 18.89/19.06 cnf(2241,plain,
% 18.89/19.06 (P9(x22411,f43(f53(x22412,a1)),f53(x22412,a1))),
% 18.89/19.06 inference(rename_variables,[],[188])).
% 18.89/19.06 cnf(2243,plain,
% 18.89/19.06 (~P9(f46(x22431,x22432,x22433),f41(f53(x22433,a1)),f53(x22433,a1))),
% 18.89/19.06 inference(scs_inference,[],[181,346,254,195,378,407,209,379,266,290,291,340,2165,230,2209,216,197,292,189,2118,2142,2212,395,137,164,232,188,394,307,242,236,131,377,1349,1740,1792,1956,2012,2078,1962,1885,1883,2061,1085,1749,1825,1776,1755,2162,1973,1866,914,2195,1074,1079,885,1135,1137,1139,2136,2183,1145,161,808,767,568,696,567,592,855,600,856,610,862,566,754,674,556,476,475,468,459,526,606,604,591,480,530,764,638,635,477,443,431,506,827,825,608,478,784,703,860,539,549,687,685,616,486,833,832,745,572,564])).
% 18.89/19.06 cnf(2245,plain,
% 18.89/19.06 (P7(x22451,f27(f46(f34(f30(x22452,x22451),x22453),x22454,a51)),a51)),
% 18.89/19.06 inference(scs_inference,[],[181,346,254,195,378,407,209,379,266,290,291,340,2165,230,2209,216,197,292,189,2118,2142,2212,395,137,164,232,188,394,307,242,236,131,377,1349,1740,1792,1956,2012,2078,1962,1885,1883,2061,1085,1749,1825,1776,1755,2162,2180,1973,1866,914,2195,1074,1079,885,1135,1137,1139,2136,2183,1145,161,808,767,568,696,567,592,855,600,856,610,862,566,754,674,556,476,475,468,459,526,606,604,591,480,530,764,638,635,477,443,431,506,827,825,608,478,784,703,860,539,549,687,685,616,486,833,832,745,572,564,527])).
% 18.89/19.06 cnf(2246,plain,
% 18.89/19.06 (P7(x22461,f27(f46(f34(x22461,x22462),x22463,a51)),a51)),
% 18.89/19.06 inference(rename_variables,[],[1755])).
% 18.89/19.06 cnf(2251,plain,
% 18.89/19.06 (~P19(f12(f45(f41(f53(x22511,a1)),x22512),f45(f41(f53(x22511,a1)),x22512),f53(x22513,a1)))),
% 18.89/19.06 inference(scs_inference,[],[181,346,254,195,378,407,209,379,266,290,291,340,2165,230,2209,171,216,197,292,189,2118,2142,2212,395,137,164,232,188,394,307,405,242,236,131,377,1349,1740,1792,1956,2012,2078,1962,1885,1883,2061,1085,1749,1825,1776,1755,2162,2180,2246,1973,1866,914,2195,1074,1079,885,1135,1137,1139,2136,2183,1145,161,808,767,568,696,567,592,855,600,856,610,862,566,754,674,556,476,475,468,459,526,606,604,591,480,530,764,638,635,477,443,431,506,827,825,608,478,784,703,860,539,549,687,685,616,486,833,832,745,572,564,527,525,116])).
% 18.89/19.06 cnf(2256,plain,
% 18.89/19.06 (P7(f45(a33,f45(a40,a25)),f23(f46(x22561,f14(a25,a54),a51)),a51)),
% 18.89/19.06 inference(scs_inference,[],[181,346,254,195,378,407,209,379,266,290,291,340,2165,230,2209,171,154,216,376,197,292,189,2118,2142,2212,395,137,164,232,188,394,307,405,242,236,131,377,1349,1740,1792,1956,2012,2078,1962,1885,1883,2061,1085,1749,1825,1776,1755,2162,2180,2246,1973,1866,914,2195,1074,1079,885,1135,1137,1139,2136,2183,1145,161,808,767,568,696,567,592,855,600,856,610,862,566,754,674,556,476,475,468,459,526,606,604,591,480,530,764,638,635,477,443,431,506,827,825,608,478,784,703,860,539,549,687,685,616,486,833,832,745,572,564,527,525,116,104,6,649])).
% 18.89/19.06 cnf(2267,plain,
% 18.89/19.06 (P9(f12(x22671,x22672,f53(x22673,a1)),x22671,f53(x22673,a1))),
% 18.89/19.06 inference(rename_variables,[],[232])).
% 18.89/19.06 cnf(2275,plain,
% 18.89/19.06 (P9(f14(x22751,x22752),f14(x22751,f21(x22753,x22752,a2)),f53(a51,a1))),
% 18.89/19.06 inference(rename_variables,[],[254])).
% 18.89/19.06 cnf(2281,plain,
% 18.89/19.06 (E(f12(x22811,x22811,f53(x22812,a1)),x22811)),
% 18.89/19.06 inference(rename_variables,[],[171])).
% 18.89/19.06 cnf(2282,plain,
% 18.89/19.06 (P9(x22821,f11(x22821,x22822,f53(x22823,a1)),f53(x22823,a1))),
% 18.89/19.06 inference(rename_variables,[],[230])).
% 18.89/19.06 cnf(2284,plain,
% 18.89/19.06 (E(f12(x22841,x22841,f53(x22842,a1)),x22841)),
% 18.89/19.06 inference(rename_variables,[],[171])).
% 18.89/19.06 cnf(2285,plain,
% 18.89/19.06 (E(x22851,f12(x22851,x22851,f53(x22852,a1)))),
% 18.89/19.06 inference(scs_inference,[],[181,346,254,195,256,378,407,209,379,266,2176,265,217,290,291,340,2165,230,2209,2229,171,2281,2284,227,154,216,376,197,292,189,2118,2142,2212,395,137,164,232,2226,188,394,307,405,242,236,131,377,1349,1740,1792,1956,2012,2078,1962,1885,1883,2061,1085,1749,1825,1776,1755,2162,2180,2246,1973,1113,1866,1226,914,2195,1074,1079,885,1135,1137,1139,2136,2183,1145,161,808,767,568,696,567,592,855,600,856,610,862,566,754,674,556,476,475,468,459,526,606,604,591,480,530,764,638,635,477,443,431,506,827,825,608,478,784,703,860,539,549,687,685,616,486,833,832,745,572,564,527,525,116,104,6,649,432,642,655,589,684,750,686,583,109,107,3,2])).
% 18.89/19.06 cnf(2290,plain,
% 18.89/19.06 (E(f12(x22901,x22901,f53(x22902,a1)),x22901)),
% 18.89/19.06 inference(rename_variables,[],[171])).
% 18.89/19.06 cnf(2292,plain,
% 18.89/19.06 (P8(x22921,f12(x22921,x22921,f53(x22922,a1)),x22923)),
% 18.89/19.06 inference(scs_inference,[],[181,346,254,195,256,378,407,209,379,266,2176,265,217,290,291,340,2165,230,2209,2229,171,2281,2284,2290,227,152,154,216,376,197,292,189,2118,2142,2212,395,137,160,169,164,232,2226,188,394,307,405,242,236,131,377,1349,1740,1792,1956,2012,2078,1962,1885,1883,2061,1085,1749,1825,1776,1755,2162,2180,2246,1973,1113,1866,1226,914,2195,1074,1079,885,1135,1137,1139,2136,2183,1145,161,808,767,568,696,567,592,855,600,856,610,862,566,754,674,556,476,475,468,459,526,606,604,591,480,530,764,638,635,477,443,431,506,827,825,608,478,784,703,860,539,549,687,685,616,486,833,832,745,572,564,527,525,116,104,6,649,432,642,655,589,684,750,686,583,109,107,3,2,108,105,9,26,126])).
% 18.89/19.06 cnf(2294,plain,
% 18.89/19.06 (~E(f3(a2),x22941)+P5(x22941)),
% 18.89/19.06 inference(scs_inference,[],[181,346,254,195,256,378,407,209,379,266,2176,265,217,290,291,340,2165,230,2209,2229,171,2281,2284,2290,227,152,154,216,376,197,292,189,2118,2142,2212,395,137,160,169,164,232,2226,188,394,307,149,405,242,236,131,377,1349,1740,1792,1956,2012,2078,1962,1885,1883,2061,1085,1749,1825,1776,1755,2162,2180,2246,1973,1113,1866,1226,914,2195,1074,1079,885,1135,1137,1139,2136,2183,1145,161,808,767,568,696,567,592,855,600,856,610,862,566,754,674,556,476,475,468,459,526,606,604,591,480,530,764,638,635,477,443,431,506,827,825,608,478,784,703,860,539,549,687,685,616,486,833,832,745,572,564,527,525,116,104,6,649,432,642,655,589,684,750,686,583,109,107,3,2,108,105,9,26,126,122])).
% 18.89/19.06 cnf(2297,plain,
% 18.89/19.06 (~P9(f23(f27(f14(a25,a54))),f23(f14(x22971,f3(a2))),f53(a51,a1))),
% 18.89/19.06 inference(scs_inference,[],[181,346,254,2275,195,256,378,407,209,379,266,2176,265,217,290,291,340,2165,230,2209,2229,171,2281,2284,2290,227,152,154,216,376,197,292,189,2118,2142,2212,395,137,160,169,164,232,2226,188,394,307,149,405,242,236,131,377,1349,1740,1792,1956,2012,2078,1962,1885,1883,2061,1085,1749,1825,1776,1755,2162,2180,2246,1973,1113,1866,1226,914,2195,1074,1079,885,1135,1137,1139,2136,2183,2204,1145,161,808,767,568,696,567,592,855,600,856,610,862,566,754,674,556,476,475,468,459,526,606,604,591,480,530,764,638,635,477,443,431,506,827,825,608,478,784,703,860,539,549,687,685,616,486,833,832,745,572,564,527,525,116,104,6,649,432,642,655,589,684,750,686,583,109,107,3,2,108,105,9,26,126,122,576,547])).
% 18.89/19.06 cnf(2307,plain,
% 18.89/19.06 (~P7(x23071,f47(f20(f41(f53(a51,a1)),x23072,a51,a51),f12(f27(f41(f53(a51,a1))),f47(x23072,f41(f53(a51,a1)),a51,a51),f53(a51,a1)),a51,a51),a51)),
% 18.89/19.06 inference(scs_inference,[],[181,346,254,2275,195,256,378,407,209,379,266,2176,265,217,386,290,291,340,2165,230,2209,2229,2282,171,2281,2284,2290,227,152,154,216,376,197,292,408,189,2118,2142,2212,395,137,160,169,164,232,2226,2267,188,2241,394,307,149,405,242,236,131,377,1349,1740,1792,2073,1956,2012,2078,1962,1885,1883,2061,1085,1749,1825,1776,1755,2162,2180,2246,1973,1113,1866,1226,914,2195,1074,1079,885,1135,1137,2143,1139,2136,2183,2204,1145,161,808,767,568,696,567,592,855,600,856,610,862,566,754,674,556,476,475,468,459,526,606,604,591,480,530,764,638,635,477,443,431,506,827,825,608,478,784,703,860,539,549,687,685,616,486,833,832,745,572,564,527,525,116,104,6,649,432,642,655,589,684,750,686,583,109,107,3,2,108,105,9,26,126,122,576,547,516,806,841])).
% 18.89/19.06 cnf(2328,plain,
% 18.89/19.06 (P5(f12(f3(a2),f3(a2),f53(x23281,a1)))),
% 18.89/19.06 inference(scs_inference,[],[2285,2294])).
% 18.89/19.06 cnf(2329,plain,
% 18.89/19.06 (E(x23291,f12(x23291,x23291,f53(x23292,a1)))),
% 18.89/19.06 inference(rename_variables,[],[2285])).
% 18.89/19.06 cnf(2331,plain,
% 18.89/19.06 (E(x23311,f12(x23311,x23311,f53(x23312,a1)))),
% 18.89/19.06 inference(rename_variables,[],[2285])).
% 18.89/19.06 cnf(2333,plain,
% 18.89/19.06 (E(x23331,f12(x23331,x23331,f53(x23332,a1)))),
% 18.89/19.06 inference(rename_variables,[],[2285])).
% 18.89/19.06 cnf(2334,plain,
% 18.89/19.06 (P13(f12(a52,a52,f53(x23341,a1)))),
% 18.89/19.06 inference(scs_inference,[],[143,146,2285,2329,2331,2333,2294,1539,121,120])).
% 18.89/19.06 cnf(2335,plain,
% 18.89/19.06 (E(x23351,f12(x23351,x23351,f53(x23352,a1)))),
% 18.89/19.06 inference(rename_variables,[],[2285])).
% 18.89/19.06 cnf(2337,plain,
% 18.89/19.06 (E(x23371,f12(x23371,x23371,f53(x23372,a1)))),
% 18.89/19.06 inference(rename_variables,[],[2285])).
% 18.89/19.06 cnf(2338,plain,
% 18.89/19.06 (P10(f12(a1,a1,f53(x23381,a1)))),
% 18.89/19.06 inference(scs_inference,[],[143,146,141,144,2285,2329,2331,2333,2335,2337,2294,1539,121,120,119,118])).
% 18.89/19.06 cnf(2339,plain,
% 18.89/19.06 (E(x23391,f12(x23391,x23391,f53(x23392,a1)))),
% 18.89/19.06 inference(rename_variables,[],[2285])).
% 18.89/19.06 cnf(2340,plain,
% 18.89/19.06 (P12(f12(a52,a52,f53(x23401,a1)))),
% 18.89/19.06 inference(scs_inference,[],[143,146,141,139,144,2285,2329,2331,2333,2335,2337,2339,2294,1539,121,120,119,118,117])).
% 18.89/19.06 cnf(2341,plain,
% 18.89/19.06 (E(x23411,f12(x23411,x23411,f53(x23412,a1)))),
% 18.89/19.06 inference(rename_variables,[],[2285])).
% 18.89/19.06 cnf(2342,plain,
% 18.89/19.06 (P11(f12(a52,a52,f53(x23421,a1)))),
% 18.89/19.06 inference(scs_inference,[],[143,146,141,139,137,144,2285,2329,2331,2333,2335,2337,2339,2341,2294,1539,121,120,119,118,117,111])).
% 18.89/19.06 cnf(2343,plain,
% 18.89/19.06 (E(x23431,f12(x23431,x23431,f53(x23432,a1)))),
% 18.89/19.06 inference(rename_variables,[],[2285])).
% 18.89/19.06 cnf(2345,plain,
% 18.89/19.06 (E(x23451,f12(x23451,x23451,f53(x23452,a1)))),
% 18.89/19.06 inference(rename_variables,[],[2285])).
% 18.89/19.06 cnf(2346,plain,
% 18.89/19.06 (P2(f12(a52,a52,f53(x23461,a1)))),
% 18.89/19.06 inference(scs_inference,[],[135,143,146,141,139,137,133,144,2285,2329,2331,2333,2335,2337,2339,2341,2343,2345,2294,1539,121,120,119,118,117,111,110,106])).
% 18.89/19.06 cnf(2347,plain,
% 18.89/19.06 (E(x23471,f12(x23471,x23471,f53(x23472,a1)))),
% 18.89/19.06 inference(rename_variables,[],[2285])).
% 18.89/19.06 cnf(2348,plain,
% 18.89/19.06 (P1(f12(a1,a1,f53(x23481,a1)))),
% 18.89/19.06 inference(scs_inference,[],[135,143,146,141,139,137,130,133,144,2285,2329,2331,2333,2335,2337,2339,2341,2343,2345,2347,2294,1539,121,120,119,118,117,111,110,106,102])).
% 18.89/19.06 cnf(2349,plain,
% 18.89/19.06 (E(x23491,f12(x23491,x23491,f53(x23492,a1)))),
% 18.89/19.06 inference(rename_variables,[],[2285])).
% 18.89/19.06 cnf(2350,plain,
% 18.89/19.06 (~E(f12(f21(x23501,f43(f12(a1,a1,f53(x23502,a1))),x23503),x23504,f12(a1,a1,f53(x23502,a1))),f43(f12(a1,a1,f53(x23502,a1))))),
% 18.89/19.06 inference(scs_inference,[],[135,143,146,141,139,382,137,130,133,144,2285,2329,2331,2333,2335,2337,2339,2341,2343,2345,2347,2294,1539,121,120,119,118,117,111,110,106,102,463])).
% 18.89/19.06 cnf(2351,plain,
% 18.89/19.06 (~E(f21(x23511,x23512,x23513),x23512)),
% 18.89/19.06 inference(rename_variables,[],[382])).
% 18.89/19.06 cnf(2363,plain,
% 18.89/19.06 (P9(f23(f46(f30(x23631,x23632),x23633,a51)),f46(f30(x23631,x23632),f23(f46(x23632,x23633,a51)),a51),f53(a51,a1))),
% 18.89/19.06 inference(rename_variables,[],[320])).
% 18.89/19.06 cnf(2373,plain,
% 18.89/19.06 (P11(f53(x23731,a1))),
% 18.89/19.06 inference(rename_variables,[],[1139])).
% 18.89/19.06 cnf(2375,plain,
% 18.89/19.06 (~P7(f34(f30(x23751,x23752),x23753),f27(f14(x23754,f3(a2))),a51)),
% 18.89/19.06 inference(scs_inference,[],[135,143,146,176,141,320,264,139,382,877,137,407,130,167,133,144,377,1795,1988,2285,2329,2331,2333,2335,2337,2339,2341,2343,2345,2347,2297,2115,1357,1135,1139,1885,161,2294,1539,121,120,119,118,117,111,110,106,102,463,668,542,537,600,567,855,547,610,526])).
% 18.89/19.06 cnf(2381,plain,
% 18.89/19.06 (E(f45(x23811,f45(f20(f27(f14(a25,a54)),x23811,a51,x23812),f45(x23811,f30(a55,a57)))),f45(x23811,f30(a55,a57)))),
% 18.89/19.06 inference(scs_inference,[],[181,135,143,146,176,141,320,264,139,382,877,137,407,130,167,133,144,377,1795,1988,2285,2329,2331,2333,2335,2337,2339,2341,2343,2345,2347,2297,2237,2115,1357,1135,1139,1885,161,2294,1539,121,120,119,118,117,111,110,106,102,463,668,542,537,600,567,855,547,610,526,477,475,825])).
% 18.89/19.06 cnf(2383,plain,
% 18.89/19.06 (P7(f45(a33,a56),f27(f11(f41(f53(a51,a1)),f46(f34(f34(a57,x23831),x23832),x23833,a51),f53(a51,a1))),a51)),
% 18.89/19.06 inference(scs_inference,[],[181,135,143,146,176,141,320,264,139,382,877,137,407,130,284,167,133,144,377,1795,1988,2285,2329,2331,2333,2335,2337,2339,2341,2343,2345,2347,2297,2237,2115,2161,1357,1135,1139,1885,161,2294,1539,121,120,119,118,117,111,110,106,102,463,668,542,537,600,567,855,547,610,526,477,475,825,764])).
% 18.89/19.06 cnf(2387,plain,
% 18.89/19.06 (P9(x23871,f11(x23872,x23871,f53(x23873,a1)),f53(x23873,a1))),
% 18.89/19.06 inference(rename_variables,[],[229])).
% 18.89/19.06 cnf(2389,plain,
% 18.89/19.06 (P19(f45(f27(f14(a25,a54)),f30(a55,a57)))),
% 18.89/19.06 inference(scs_inference,[],[181,135,143,146,176,141,320,229,264,139,382,877,137,407,130,284,167,133,144,377,1795,1988,2285,2329,2331,2333,2335,2337,2339,2341,2343,2345,2347,2297,2237,2115,2161,1357,1135,1139,1885,161,2294,1539,121,120,119,118,117,111,110,106,102,463,668,542,537,600,567,855,547,610,526,477,475,825,764,616,468])).
% 18.89/19.06 cnf(2391,plain,
% 18.89/19.06 (P7(f45(x23911,f30(a55,a57)),f11(x23912,f47(x23911,f27(f14(a25,a54)),a51,x23913),f53(x23913,a1)),x23913)),
% 18.89/19.06 inference(scs_inference,[],[181,135,143,146,176,141,320,229,2387,264,139,382,877,137,407,130,284,167,133,144,377,1795,1988,2285,2329,2331,2333,2335,2337,2339,2341,2343,2345,2347,2297,2237,2115,2161,1357,1135,1139,1885,161,2294,1539,121,120,119,118,117,111,110,106,102,463,668,542,537,600,567,855,547,610,526,477,475,825,764,616,468,784])).
% 18.89/19.06 cnf(2394,plain,
% 18.89/19.06 (P7(f45(a33,f45(a40,a25)),f27(f46(x23941,f14(a25,a54),a51)),a51)),
% 18.89/19.06 inference(scs_inference,[],[181,135,143,146,176,141,320,229,2387,264,139,382,877,137,407,130,284,167,133,144,377,1795,1988,2285,2329,2331,2333,2335,2337,2339,2341,2343,2345,2347,2297,2237,2115,2161,2256,1357,1135,1139,1885,161,2294,1539,121,120,119,118,117,111,110,106,102,463,668,542,537,600,567,855,547,610,526,477,475,825,764,616,468,784,486])).
% 18.89/19.06 cnf(2396,plain,
% 18.89/19.06 (~P9(f27(f11(f14(a25,a54),x23961,f53(a51,a1))),f27(f41(f53(a51,a1))),f53(a51,a1))),
% 18.89/19.06 inference(scs_inference,[],[181,135,143,146,176,141,320,229,2387,264,139,382,877,137,407,130,284,167,133,144,377,1795,1988,2285,2329,2331,2333,2335,2337,2339,2341,2343,2345,2347,1765,2297,2237,2115,2161,2256,1357,1135,1139,1885,161,2294,1539,121,120,119,118,117,111,110,106,102,463,668,542,537,600,567,855,547,610,526,477,475,825,764,616,468,784,486,549])).
% 18.89/19.06 cnf(2398,plain,
% 18.89/19.06 (~P7(x23981,f12(f27(f41(f53(a51,a1))),f47(x23982,f41(f53(a51,a1)),a51,a51),f53(a51,a1)),a51)),
% 18.89/19.06 inference(scs_inference,[],[181,135,143,146,176,141,320,229,2387,264,139,382,877,137,407,130,284,167,133,144,377,1795,1988,2285,2329,2331,2333,2335,2337,2339,2341,2343,2345,2347,1765,2297,2237,2115,2161,2256,2307,1357,1135,1139,1885,161,2294,1539,121,120,119,118,117,111,110,106,102,463,668,542,537,600,567,855,547,610,526,477,475,825,764,616,468,784,486,549,745])).
% 18.89/19.06 cnf(2407,plain,
% 18.89/19.06 (~P9(f14(a25,a54),f12(f45(f18(x24071,x24072,f27(f41(f53(a51,a1))),x24073,x24074),x24072),x24075,f53(a51,a1)),f53(a51,a1))),
% 18.89/19.06 inference(scs_inference,[],[181,135,143,146,176,141,320,229,2387,195,264,139,382,877,174,137,407,130,284,167,133,144,377,1795,1988,1966,2285,2329,2331,2333,2335,2337,2339,2341,2343,2345,2347,1765,2297,2237,2115,2161,2256,2307,1357,1135,1137,1139,1145,1885,161,2294,1539,121,120,119,118,117,111,110,106,102,463,668,542,537,600,567,855,547,610,526,477,475,825,764,616,468,784,486,549,745,685,566,606])).
% 18.89/19.06 cnf(2408,plain,
% 18.89/19.06 (P1(f53(x24081,a1))),
% 18.89/19.06 inference(rename_variables,[],[1145])).
% 18.89/19.06 cnf(2411,plain,
% 18.89/19.06 (P1(f53(x24111,a1))),
% 18.89/19.06 inference(rename_variables,[],[1145])).
% 18.89/19.06 cnf(2420,plain,
% 18.89/19.06 (P11(f53(x24201,a1))),
% 18.89/19.06 inference(rename_variables,[],[1139])).
% 18.89/19.06 cnf(2422,plain,
% 18.89/19.06 (E(f45(f20(f43(f53(x24221,a1)),f44(x24222),x24221,x24223),f45(f44(x24222),x24224)),x24224)),
% 18.89/19.06 inference(scs_inference,[],[181,135,143,146,176,141,399,320,229,2387,195,264,139,382,877,174,197,404,137,407,130,284,167,405,133,144,377,1795,1988,1966,2285,2329,2331,2333,2335,2337,2339,2341,2343,2345,2347,1765,2297,2237,2115,2161,2256,2307,1357,1873,1135,1137,1139,2373,1145,2408,1885,161,2294,1539,121,120,119,118,117,111,110,106,102,463,668,542,537,600,567,855,547,610,526,477,475,825,764,616,468,784,486,549,745,685,566,606,604,530,459,525,608,443])).
% 18.89/19.06 cnf(2423,plain,
% 18.89/19.06 (E(f45(x24231,f45(f20(f43(f53(x24232,a1)),x24231,x24232,x24233),f45(x24231,x24234))),f45(x24231,x24234))),
% 18.89/19.06 inference(rename_variables,[],[1873])).
% 18.89/19.06 cnf(2425,plain,
% 18.89/19.06 (E(f45(f20(f43(f53(x24251,a1)),a40,x24251,x24252),f45(a40,x24253)),x24253)),
% 18.89/19.06 inference(scs_inference,[],[181,135,143,146,176,141,399,320,229,2387,195,264,139,382,877,174,197,404,137,407,130,284,167,405,133,144,377,1795,1988,1966,2285,2329,2331,2333,2335,2337,2339,2341,2343,2345,2347,1765,2297,2237,2115,2161,2256,2307,1357,1873,2423,1135,1137,1139,2373,1145,2408,1885,161,2294,1539,121,120,119,118,117,111,110,106,102,463,668,542,537,600,567,855,547,610,526,477,475,825,764,616,468,784,486,549,745,685,566,606,604,530,459,525,608,443,432])).
% 18.89/19.06 cnf(2426,plain,
% 18.89/19.06 (E(f45(x24261,f45(f20(f43(f53(x24262,a1)),x24261,x24262,x24263),f45(x24261,x24264))),f45(x24261,x24264))),
% 18.89/19.06 inference(rename_variables,[],[1873])).
% 18.89/19.06 cnf(2428,plain,
% 18.89/19.06 (E(f45(f20(f43(f53(x24281,a1)),a33,x24281,x24282),f45(a33,x24283)),x24283)),
% 18.89/19.06 inference(scs_inference,[],[181,135,143,146,176,141,399,320,229,2387,195,264,139,382,877,174,197,404,137,407,130,284,167,405,133,144,377,1795,1988,1966,2285,2329,2331,2333,2335,2337,2339,2341,2343,2345,2347,1765,2297,2237,2115,2161,2256,2307,1357,1873,2423,2426,1135,1137,1139,2373,1145,2408,1885,161,2294,1539,121,120,119,118,117,111,110,106,102,463,668,542,537,600,567,855,547,610,526,477,475,825,764,616,468,784,486,549,745,685,566,606,604,530,459,525,608,443,432,431])).
% 18.89/19.06 cnf(2431,plain,
% 18.89/19.06 (~P7(f30(x24311,f31(x24312)),f27(f11(f27(f14(x24313,f3(a2))),f27(f14(x24313,f3(a2))),f53(a51,a1))),a51)),
% 18.89/19.06 inference(scs_inference,[],[181,135,143,146,176,141,399,320,229,2387,195,264,139,382,877,174,197,404,137,407,130,284,167,405,133,144,377,1795,1988,1966,2285,2329,2331,2333,2335,2337,2339,2341,2343,2345,2347,1765,2297,2237,2115,2170,2161,2256,2307,1357,1873,2423,2426,1135,1137,1139,2373,1145,2408,1885,161,2294,1539,121,120,119,118,117,111,110,106,102,463,668,542,537,600,567,855,547,610,526,477,475,825,764,616,468,784,486,549,745,685,566,606,604,530,459,525,608,443,432,431,527])).
% 18.89/19.06 cnf(2440,plain,
% 18.89/19.06 (P7(f45(f20(f27(f14(a25,a54)),x24401,a51,x24402),f45(x24401,f30(a55,a57))),f27(f14(a25,a54)),a51)),
% 18.89/19.06 inference(scs_inference,[],[181,135,143,146,176,141,399,320,229,2387,195,264,139,382,877,174,197,404,408,137,407,130,284,167,405,133,144,377,1795,1988,1966,2285,2329,2331,2333,2335,2337,2339,2341,2343,2345,2347,1765,2297,2237,2115,2170,2161,2256,2307,1357,1873,2423,2426,1135,1137,1139,2373,1145,2408,1885,161,2294,1539,121,120,119,118,117,111,110,106,102,463,668,542,537,600,567,855,547,610,526,477,475,825,764,616,468,784,486,549,745,685,566,606,604,530,459,525,608,443,432,431,527,591,506,687,827])).
% 18.89/19.06 cnf(2453,plain,
% 18.89/19.06 (P9(f23(f46(f30(x24531,x24532),x24533,a51)),f46(f30(x24531,x24532),f23(f46(x24532,x24533,a51)),a51),f53(a51,a1))),
% 18.89/19.06 inference(rename_variables,[],[320])).
% 18.89/19.06 cnf(2461,plain,
% 18.89/19.06 (P9(f23(f46(f30(x24611,x24612),x24613,a51)),f46(f30(x24611,x24612),f23(f46(x24612,x24613,a51)),a51),f53(a51,a1))),
% 18.89/19.06 inference(rename_variables,[],[320])).
% 18.89/19.06 cnf(2467,plain,
% 18.89/19.06 (P7(f35(x24671),f48(x24672,f46(f45(x24672,f35(f35(x24671))),f41(f53(x24673,a1)),x24673),x24674,x24673),x24674)),
% 18.89/19.06 inference(scs_inference,[],[181,135,143,146,176,141,399,320,2363,2453,153,229,2387,195,264,139,382,321,877,174,231,197,404,408,137,407,130,284,167,405,133,144,377,1795,1988,1966,2285,2329,2331,2333,2335,2337,2339,2341,2343,2345,2347,929,1765,2297,1504,2237,2115,2170,2161,2256,2307,1357,1873,2423,2426,1135,1137,1139,2373,2420,1145,2408,2411,1885,161,2294,1539,121,120,119,118,117,111,110,106,102,463,668,542,537,600,567,855,547,610,526,477,475,825,764,616,468,784,486,549,745,685,566,606,604,530,459,525,608,443,432,431,527,591,506,687,827,589,478,686,684,572,480,703,583,564,103])).
% 18.89/19.06 cnf(2473,plain,
% 18.89/19.06 (~P7(f30(x24731,x24732),f13(f3(a2)),a51)),
% 18.89/19.06 inference(rename_variables,[],[399])).
% 18.89/19.06 cnf(2480,plain,
% 18.89/19.06 (E(x24801,f12(x24801,x24801,f53(x24802,a1)))),
% 18.89/19.06 inference(rename_variables,[],[2285])).
% 18.89/19.06 cnf(2487,plain,
% 18.89/19.06 (P8(f35(x24871),f12(f35(f35(x24871)),f35(f35(x24871)),f53(x24872,a1)),x24873)),
% 18.89/19.06 inference(scs_inference,[],[181,135,143,146,176,141,399,2473,320,2363,2453,2461,153,245,191,194,229,2387,195,264,139,382,321,877,174,231,197,404,875,408,137,407,130,284,167,405,133,144,377,1795,1988,1966,2292,2285,2329,2331,2333,2335,2337,2339,2341,2343,2345,2347,2349,929,1281,1765,2251,2297,1504,2237,2115,2170,2161,2256,2307,1357,1873,2423,2426,1135,1137,1139,2373,2420,1145,2408,2411,1885,161,2294,1539,121,120,119,118,117,111,110,106,102,463,668,542,537,600,567,855,547,610,526,477,475,825,764,616,468,784,486,549,745,685,566,606,604,530,459,525,608,443,432,431,527,591,506,687,827,589,478,686,684,572,480,703,583,564,103,655,127,104,642,116,6,108,9,109,107,126])).
% 18.89/19.06 cnf(2494,plain,
% 18.89/19.06 (E(x24941,f12(x24941,x24941,f53(x24942,a1)))),
% 18.89/19.06 inference(rename_variables,[],[2285])).
% 18.89/19.06 cnf(2495,plain,
% 18.89/19.06 (P18(f12(a1,a1,f53(x24951,a1)))),
% 18.89/19.06 inference(scs_inference,[],[181,881,135,143,146,349,176,141,399,2473,320,2363,2453,2461,153,245,191,194,229,2387,195,264,139,382,2351,321,877,174,231,197,404,875,408,137,407,130,284,167,405,133,144,377,1795,1988,1966,1893,2292,2285,2329,2331,2333,2335,2337,2339,2341,2343,2345,2347,2349,2480,2494,929,1281,1765,2251,2297,1504,2237,2115,2170,2161,2256,2307,1357,1873,2423,2426,1135,1137,1139,2373,2420,1145,2408,2411,1885,161,2294,1539,121,120,119,118,117,111,110,106,102,463,668,542,537,600,567,855,547,610,526,477,475,825,764,616,468,784,486,549,745,685,566,606,604,530,459,525,608,443,432,431,527,591,506,687,827,589,478,686,684,572,480,703,583,564,103,655,127,104,642,116,6,108,9,109,107,126,3,2,26,105,2019])).
% 18.89/19.06 cnf(2499,plain,
% 18.89/19.06 (E(f45(x24991,f35(x24992)),f45(x24991,f35(f35(x24992))))),
% 18.89/19.06 inference(scs_inference,[],[181,881,135,143,146,349,176,141,399,2473,320,2363,2453,2461,153,245,191,194,229,2387,195,264,139,382,2351,321,877,174,231,197,404,875,408,137,407,130,284,167,405,133,144,377,1795,1988,1966,1893,2292,2285,2329,2331,2333,2335,2337,2339,2341,2343,2345,2347,2349,2480,2494,929,1281,1765,2251,2297,1504,2237,2115,2170,2161,2256,2307,1357,1873,2423,2426,1135,1137,1139,2373,2420,1145,2408,2411,1885,161,2294,1539,121,120,119,118,117,111,110,106,102,463,668,542,537,600,567,855,547,610,526,477,475,825,764,616,468,784,486,549,745,685,566,606,604,530,459,525,608,443,432,431,527,591,506,687,827,589,478,686,684,572,480,703,583,564,103,655,127,104,642,116,6,108,9,109,107,126,3,2,26,105,2019,814,807])).
% 18.89/19.06 cnf(2550,plain,
% 18.89/19.06 (E(x25501,f12(x25501,x25501,f53(x25502,a1)))),
% 18.89/19.06 inference(rename_variables,[],[2285])).
% 18.89/19.06 cnf(2551,plain,
% 18.89/19.06 (P17(f12(a1,a1,f53(x25511,a1)))),
% 18.89/19.06 inference(scs_inference,[],[145,140,2285,2550,120,119])).
% 18.89/19.06 cnf(2552,plain,
% 18.89/19.06 (E(x25521,f12(x25521,x25521,f53(x25522,a1)))),
% 18.89/19.06 inference(rename_variables,[],[2285])).
% 18.89/19.06 cnf(2553,plain,
% 18.89/19.06 (P11(f12(a1,a1,f53(x25531,a1)))),
% 18.89/19.06 inference(scs_inference,[],[145,140,136,2285,2550,2552,120,119,111])).
% 18.89/19.06 cnf(2554,plain,
% 18.89/19.06 (E(x25541,f12(x25541,x25541,f53(x25542,a1)))),
% 18.89/19.06 inference(rename_variables,[],[2285])).
% 18.89/19.06 cnf(2557,plain,
% 18.89/19.06 (~E(f45(a33,x25571),f30(x25572,x25573))),
% 18.89/19.06 inference(rename_variables,[],[372])).
% 18.89/19.06 cnf(2560,plain,
% 18.89/19.06 (P6(f20(x25601,x25602,x25603,x25604),f47(x25605,f48(x25605,f47(x25602,x25601,x25603,x25604),x25606,x25604),x25606,x25604),x25604,x25603)),
% 18.89/19.06 inference(scs_inference,[],[372,145,333,140,307,136,2428,2285,2550,2552,120,119,111,853,813])).
% 18.89/19.06 cnf(2561,plain,
% 18.89/19.06 (P9(f47(x25611,f48(x25611,x25612,x25613,x25614),x25613,x25614),x25612,f53(x25614,a1))),
% 18.89/19.06 inference(rename_variables,[],[333])).
% 18.89/19.06 cnf(2563,plain,
% 18.89/19.06 (P6(f20(f12(f27(f41(f53(a51,a1))),f47(x25631,f41(f53(a51,a1)),a51,a51),f53(a51,a1)),f20(f41(f53(a51,a1)),x25631,a51,a51),a51,a51),f12(f27(f41(f53(a51,a1))),f47(x25631,f41(f53(a51,a1)),a51,a51),f53(a51,a1)),a51,a51)),
% 18.89/19.06 inference(scs_inference,[],[372,145,333,140,307,136,2428,2398,964,2073,2285,2550,2552,120,119,111,853,813,864])).
% 18.89/19.06 cnf(2564,plain,
% 18.89/19.06 (~P7(x25641,f12(f27(f41(f53(a51,a1))),f47(x25642,f41(f53(a51,a1)),a51,a51),f53(a51,a1)),a51)),
% 18.89/19.06 inference(rename_variables,[],[2398])).
% 18.89/19.06 cnf(2566,plain,
% 18.89/19.06 (P6(f20(f41(f53(x25661,a1)),x25662,x25661,x25661),f12(x25663,f47(x25662,f41(f53(x25661,a1)),x25661,x25661),f53(x25661,a1)),x25661,x25661)),
% 18.89/19.06 inference(rename_variables,[],[2073])).
% 18.89/19.06 cnf(2573,plain,
% 18.89/19.06 (P2(f12(a1,a1,f53(x25731,a1)))),
% 18.89/19.06 inference(scs_inference,[],[372,2557,145,333,138,140,142,134,307,136,132,2428,2398,964,2073,2285,2550,2552,2554,120,119,111,853,813,864,807,121,117,110,106])).
% 18.89/19.06 cnf(2574,plain,
% 18.89/19.06 (E(x25741,f12(x25741,x25741,f53(x25742,a1)))),
% 18.89/19.06 inference(rename_variables,[],[2285])).
% 18.89/19.06 cnf(2576,plain,
% 18.89/19.06 (E(x25761,f12(x25761,x25761,f53(x25762,a1)))),
% 18.89/19.06 inference(rename_variables,[],[2285])).
% 18.89/19.06 cnf(2577,plain,
% 18.89/19.06 (P9(f23(f14(x25771,f3(a2))),f23(f14(x25771,x25772)),f53(a51,a1))),
% 18.89/19.06 inference(scs_inference,[],[372,2557,196,145,333,138,140,142,134,307,131,136,132,2428,2398,964,2073,2285,2550,2552,2554,2574,120,119,111,853,813,864,807,121,117,110,106,102,537])).
% 18.89/19.06 cnf(2581,plain,
% 18.89/19.06 (P9(f12(f12(x25811,x25812,a52),x25813,a52),x25812,a52)),
% 18.89/19.06 inference(scs_inference,[],[879,372,2557,196,141,145,333,138,140,142,134,307,131,136,132,2428,2398,1097,1101,964,2073,2285,2550,2552,2554,2574,120,119,111,853,813,864,807,121,117,110,106,102,537,458,567])).
% 18.89/19.06 cnf(2596,plain,
% 18.89/19.06 (P9(x25961,f11(f11(x25961,x25962,a52),x25963,a52),a52)),
% 18.89/19.06 inference(scs_inference,[],[879,372,2557,883,196,340,141,308,145,333,138,140,142,137,134,307,131,136,132,377,2428,2398,1097,1101,1105,964,2073,2566,2285,2550,2552,2554,2574,1263,1145,120,119,111,853,813,864,807,121,117,110,106,102,537,458,567,592,753,481,775,610])).
% 18.89/19.06 cnf(2600,plain,
% 18.89/19.06 (~P9(f23(f23(f27(f14(a25,a54)))),f23(f14(x26001,f3(a2))),f53(a51,a1))),
% 18.89/19.06 inference(scs_inference,[],[879,372,2557,883,196,340,141,308,145,333,138,140,142,408,137,134,307,131,136,132,377,2428,2398,1097,1101,1105,964,2073,2566,2285,2550,2552,2554,2574,2297,1263,1145,120,119,111,853,813,864,807,121,117,110,106,102,537,458,567,592,753,481,775,610,746,547])).
% 18.89/19.06 cnf(2602,plain,
% 18.89/19.06 (~P9(f11(f14(a25,a54),x26021,f53(a51,a1)),f12(f45(f18(x26022,x26023,f27(f41(f53(a51,a1))),x26024,x26025),x26023),x26026,f53(a51,a1)),f53(a51,a1))),
% 18.89/19.06 inference(scs_inference,[],[879,372,2557,883,196,340,141,230,308,145,333,138,140,142,408,137,134,307,131,136,132,377,2407,2428,2398,1097,1101,1105,964,2073,2566,2285,2550,2552,2554,2574,2297,1263,1145,120,119,111,853,813,864,807,121,117,110,106,102,537,458,567,592,753,481,775,610,746,547,616])).
% 18.89/19.06 cnf(2603,plain,
% 18.89/19.06 (P9(x26031,f11(x26031,x26032,f53(x26033,a1)),f53(x26033,a1))),
% 18.89/19.06 inference(rename_variables,[],[230])).
% 18.89/19.06 cnf(2605,plain,
% 18.89/19.06 (~P7(x26051,f23(f41(f53(a51,a1))),a51)),
% 18.89/19.06 inference(scs_inference,[],[879,372,2557,883,196,340,141,230,308,145,333,138,140,142,408,137,134,307,131,136,132,377,2407,2428,2398,1097,1101,1105,964,2073,2566,2285,2550,2552,2554,2574,2297,1263,1145,120,119,111,853,813,864,807,121,117,110,106,102,537,458,567,592,753,481,775,610,746,547,616,486])).
% 18.89/19.06 cnf(2609,plain,
% 18.89/19.06 (P7(x26091,f27(f46(x26091,x26092,a51)),x26093)),
% 18.89/19.06 inference(scs_inference,[],[879,372,2557,883,196,340,141,230,308,145,333,138,140,142,408,137,134,307,131,136,132,377,2407,2175,2428,2398,1097,1101,1105,964,2073,2566,2285,2550,2552,2554,2574,2297,1263,1145,120,119,111,853,813,864,807,121,117,110,106,102,537,458,567,592,753,481,775,610,746,547,616,486,750,459])).
% 18.89/19.06 cnf(2613,plain,
% 18.89/19.06 (P7(f45(a33,f45(a40,a25)),f27(f11(f14(a25,a54),f46(a57,f41(f53(a51,a1)),a51),f53(a51,a1))),a51)),
% 18.89/19.06 inference(scs_inference,[],[284,879,372,2557,883,196,340,141,230,308,145,333,138,140,142,408,137,134,307,131,136,132,377,2407,2175,2428,2398,2394,1097,1101,1105,964,2073,2566,2285,2550,2552,2554,2574,2297,1263,1145,120,119,111,853,813,864,807,121,117,110,106,102,537,458,567,592,753,481,775,610,746,547,616,486,750,459,432,764])).
% 18.89/19.06 cnf(2616,plain,
% 18.89/19.06 (P7(f45(a33,a56),f23(f27(f46(a57,f41(f53(a51,a1)),a51))),a51)),
% 18.89/19.06 inference(scs_inference,[],[284,879,372,2557,883,196,340,141,230,308,145,333,138,140,142,408,137,134,307,131,136,132,377,2407,2175,2428,2398,2394,1097,1101,1105,964,2073,2566,2285,2550,2552,2554,2574,2297,1263,1145,120,119,111,853,813,864,807,121,117,110,106,102,537,458,567,592,753,481,775,610,746,547,616,486,750,459,432,764,475])).
% 18.89/19.06 cnf(2621,plain,
% 18.89/19.06 (~P7(x26211,f12(f27(f41(f53(a51,a1))),f47(x26212,f41(f53(a51,a1)),a51,a51),f53(a51,a1)),a51)),
% 18.89/19.06 inference(rename_variables,[],[2398])).
% 18.89/19.06 cnf(2626,plain,
% 18.89/19.06 (P9(f12(f12(x26261,x26262,a52),x26263,a52),x26261,a52)),
% 18.89/19.06 inference(scs_inference,[],[284,879,372,2557,883,196,340,141,230,308,145,333,138,140,142,408,137,134,307,131,136,132,377,2407,2175,1785,2428,2398,2564,2394,1097,1101,1105,964,2073,2566,2285,2550,2552,2554,2574,2297,1263,1145,120,119,111,853,813,864,807,121,117,110,106,102,537,458,567,592,753,481,775,610,746,547,616,486,750,459,432,764,475,468,506,825,606])).
% 18.89/19.06 cnf(2630,plain,
% 18.89/19.06 (~P7(f34(f30(x26301,f31(x26302)),x26303),f27(f11(f27(f14(x26304,f3(a2))),f27(f14(x26304,f3(a2))),f53(a51,a1))),a51)),
% 18.89/19.06 inference(scs_inference,[],[284,879,372,2557,883,196,340,141,230,308,145,333,138,140,142,408,404,137,134,307,131,136,132,377,2407,2175,1785,2428,2431,2398,2564,2394,1097,1101,1105,964,2073,2566,2285,2550,2552,2554,2574,2297,1263,1145,120,119,111,853,813,864,807,121,117,110,106,102,537,458,567,592,753,481,775,610,746,547,616,486,750,459,432,764,475,468,506,825,606,477,526])).
% 18.89/19.06 cnf(2633,plain,
% 18.89/19.06 (P9(f47(x26331,f48(x26331,x26332,x26333,x26334),x26333,x26334),x26332,f53(x26334,a1))),
% 18.89/19.06 inference(rename_variables,[],[333])).
% 18.89/19.06 cnf(2635,plain,
% 18.89/19.06 (~P7(f45(a33,a56),f23(f47(x26351,f48(x26351,f23(f14(a25,a54)),x26352,a51),x26352,a51)),a51)),
% 18.89/19.06 inference(scs_inference,[],[284,879,372,2557,883,196,340,141,230,308,145,333,2561,2633,138,140,142,408,404,137,134,307,131,136,132,377,2407,2175,1785,2428,2431,2398,2564,2394,1097,1101,1105,964,2073,2566,2285,2550,2552,2554,2574,2297,1263,1145,120,119,111,853,813,864,807,121,117,110,106,102,537,458,567,592,753,481,775,610,746,547,616,486,750,459,432,764,475,468,506,825,606,477,526,591,589])).
% 18.89/19.06 cnf(2636,plain,
% 18.89/19.06 (P9(f47(x26361,f48(x26361,x26362,x26363,x26364),x26363,x26364),x26362,f53(x26364,a1))),
% 18.89/19.06 inference(rename_variables,[],[333])).
% 18.89/19.06 cnf(2639,plain,
% 18.89/19.06 (P9(x26391,f11(x26391,x26392,f53(x26393,a1)),f53(x26393,a1))),
% 18.89/19.06 inference(rename_variables,[],[230])).
% 18.89/19.06 cnf(2641,plain,
% 18.89/19.06 (~P7(x26411,f47(x26412,f12(f27(f41(f53(a51,a1))),f47(x26413,f41(f53(a51,a1)),a51,a51),f53(a51,a1)),a51,x26414),x26414)),
% 18.89/19.06 inference(scs_inference,[],[284,879,372,2557,883,196,340,141,230,2603,308,145,333,2561,2633,138,140,142,408,404,137,134,307,131,136,132,377,2407,2175,1785,2428,2431,2398,2564,2621,2394,1097,1101,1105,964,2073,2566,2285,2550,2552,2554,2574,2297,1263,1145,120,119,111,853,813,864,807,121,117,110,106,102,537,458,567,592,753,481,775,610,746,547,616,486,750,459,432,764,475,468,506,825,606,477,526,591,589,687,827])).
% 18.89/19.06 cnf(2645,plain,
% 18.89/19.06 (P9(f47(x26451,f48(x26451,x26452,x26453,x26454),x26453,x26454),x26452,f53(x26454,a1))),
% 18.89/19.06 inference(rename_variables,[],[333])).
% 18.89/19.06 cnf(2651,plain,
% 18.89/19.06 (P9(x26511,f27(f35(f27(x26511))),f53(a51,a1))),
% 18.89/19.06 inference(scs_inference,[],[284,879,372,2557,883,196,340,141,230,2603,308,145,333,2561,2633,2636,138,140,189,321,142,408,404,137,134,307,131,136,132,377,2221,2407,2175,1785,2428,2431,2398,2564,2621,2394,1097,1101,1105,964,2073,2566,2285,2550,2552,2554,2574,2297,1263,1145,120,119,111,853,813,864,807,121,117,110,106,102,537,458,567,592,753,481,775,610,746,547,616,486,750,459,432,764,475,468,506,825,606,477,526,591,589,687,827,572,784,549])).
% 18.89/19.06 cnf(2654,plain,
% 18.89/19.06 (~P7(f30(x26541,f30(x26542,f31(x26543))),f27(f11(f27(f14(x26544,f3(a2))),f27(f14(x26544,f3(a2))),f53(a51,a1))),a51)),
% 18.89/19.06 inference(scs_inference,[],[284,879,372,2557,883,196,340,141,230,2603,308,145,333,2561,2633,2636,138,140,189,321,142,408,404,137,134,307,131,136,132,377,2221,2407,2175,1785,2428,2431,2398,2564,2621,2394,1097,1101,1105,964,2073,2566,2285,2550,2552,2554,2574,2297,1263,1145,120,119,111,853,813,864,807,121,117,110,106,102,537,458,567,592,753,481,775,610,746,547,616,486,750,459,432,764,475,468,506,825,606,477,526,591,589,687,827,572,784,549,527])).
% 18.89/19.06 cnf(2659,plain,
% 18.89/19.06 (P9(f47(x26591,f48(x26591,x26592,x26593,x26594),x26593,x26594),x26592,f53(x26594,a1))),
% 18.89/19.06 inference(rename_variables,[],[333])).
% 18.89/19.06 cnf(2662,plain,
% 18.89/19.06 (P9(f47(x26621,f48(x26621,x26622,x26623,x26624),x26623,x26624),x26622,f53(x26624,a1))),
% 18.89/19.06 inference(rename_variables,[],[333])).
% 18.89/19.06 cnf(2664,plain,
% 18.89/19.06 (P7(f45(x26641,f45(a33,a56)),f47(x26641,f27(f46(a57,f41(f53(a51,a1)),a51)),a51,x26642),x26642)),
% 18.89/19.06 inference(scs_inference,[],[284,879,372,2557,883,196,340,141,230,2603,308,145,333,2561,2633,2636,2645,2659,138,140,189,321,142,408,404,137,134,307,131,136,132,377,2221,2407,2175,1785,2428,2431,2398,2564,2621,2394,1097,1101,1105,964,2073,2566,2285,2550,2552,2554,2574,2297,1263,1145,120,119,111,853,813,864,807,121,117,110,106,102,537,458,567,592,753,481,775,610,746,547,616,486,750,459,432,764,475,468,506,825,606,477,526,591,589,687,827,572,784,549,527,703,685,684,745])).
% 18.89/19.06 cnf(2668,plain,
% 18.89/19.06 (~P19(f45(f47(x26681,f48(x26681,f41(f53(x26682,a1)),x26683,x26684),x26683,x26684),x26685))),
% 18.89/19.06 inference(scs_inference,[],[284,879,372,2557,883,196,340,141,230,2603,308,145,333,2561,2633,2636,2645,2659,2662,138,140,189,321,142,408,404,137,134,307,405,131,136,132,377,2221,2407,2175,1785,2428,1852,2431,2398,2564,2621,2394,1097,1101,1105,964,2073,2566,2285,2550,2552,2554,2574,2297,1263,1145,120,119,111,853,813,864,807,121,117,110,106,102,537,458,567,592,753,481,775,610,746,547,616,486,750,459,432,764,475,468,506,825,606,477,526,591,589,687,827,572,784,549,527,703,685,684,745,564,530])).
% 18.89/19.06 cnf(2674,plain,
% 18.89/19.06 (~P7(f34(x26741,f30(x26742,x26743)),f27(f14(x26744,f3(a2))),a51)),
% 18.89/19.06 inference(scs_inference,[],[284,879,372,2557,883,196,340,141,230,2603,308,145,333,2561,2633,2636,2645,2659,2662,138,140,189,321,142,408,404,137,407,134,307,405,131,136,132,377,2221,2407,2175,1785,2428,1852,2431,2398,2564,2621,2394,1097,1101,1105,964,2073,2566,2285,2550,2552,2554,2574,2297,1263,1145,120,119,111,853,813,864,807,121,117,110,106,102,537,458,567,592,753,481,775,610,746,547,616,486,750,459,432,764,475,468,506,825,606,477,526,591,589,687,827,572,784,549,527,703,685,684,745,564,530,443,431,525])).
% 18.89/19.06 cnf(2676,plain,
% 18.89/19.06 (P9(x26761,f11(f11(x26762,x26761,a52),x26763,a52),a52)),
% 18.89/19.06 inference(scs_inference,[],[284,879,372,2557,883,196,340,141,230,2603,308,145,333,2561,2633,2636,2645,2659,2662,138,140,189,321,142,408,404,137,407,134,307,405,131,136,132,377,2221,2407,2175,1785,2428,1852,2431,2398,2564,2621,2394,1097,1101,1105,964,2073,2566,2285,2550,2552,2554,2574,2297,1263,1145,120,119,111,853,813,864,807,121,117,110,106,102,537,458,567,592,753,481,775,610,746,547,616,486,750,459,432,764,475,468,506,825,606,477,526,591,589,687,827,572,784,549,527,703,685,684,745,564,530,443,431,525,608])).
% 18.89/19.06 cnf(2678,plain,
% 18.89/19.06 (~P9(f43(f12(a1,a1,f53(x26781,a1))),f21(x26782,f43(f12(a1,a1,f53(x26781,a1))),x26783),f12(a1,a1,f53(x26781,a1)))),
% 18.89/19.06 inference(scs_inference,[],[284,879,372,2557,883,196,340,141,230,2603,308,145,333,2561,2633,2636,2645,2659,2662,138,140,189,321,142,408,404,137,407,134,307,405,131,136,132,377,2221,2407,2175,1785,2428,1852,2350,2431,2398,2564,2621,2394,2348,1097,1101,1105,964,2073,2566,2285,2550,2552,2554,2574,2297,1263,1145,120,119,111,853,813,864,807,121,117,110,106,102,537,458,567,592,753,481,775,610,746,547,616,486,750,459,432,764,475,468,506,825,606,477,526,591,589,687,827,572,784,549,527,703,685,684,745,564,530,443,431,525,608,480])).
% 18.89/19.06 cnf(2681,plain,
% 18.89/19.06 (P7(x26811,f11(f46(x26811,x26812,x26813),x26814,f53(x26813,a1)),x26813)),
% 18.89/19.06 inference(scs_inference,[],[284,879,372,2557,883,196,340,141,230,2603,2639,308,145,333,2561,2633,2636,2645,2659,2662,138,140,189,321,142,408,404,137,407,134,307,405,131,136,132,377,2221,2407,2175,1785,2428,1852,2350,2431,2398,2564,2621,2394,2348,1097,1101,1105,964,2073,2566,2285,2550,2552,2554,2574,2297,1263,1145,120,119,111,853,813,864,807,121,117,110,106,102,537,458,567,592,753,481,775,610,746,547,616,486,750,459,432,764,475,468,506,825,606,477,526,591,589,687,827,572,784,549,527,703,685,684,745,564,530,443,431,525,608,480,642])).
% 18.89/19.06 cnf(2682,plain,
% 18.89/19.06 (P9(x26821,f11(x26821,x26822,f53(x26823,a1)),f53(x26823,a1))),
% 18.89/19.06 inference(rename_variables,[],[230])).
% 18.89/19.06 cnf(2687,plain,
% 18.89/19.06 (~P9(f27(f46(a57,f41(f53(a51,a1)),a51)),f23(f14(a25,a54)),f53(a51,a1))),
% 18.89/19.06 inference(scs_inference,[],[284,879,372,2557,883,196,340,141,230,2603,2639,2682,308,145,333,2561,2633,2636,2645,2659,2662,138,140,189,321,142,408,404,137,407,134,307,405,131,136,132,377,2221,2407,2175,1785,2428,1852,2350,2431,2398,2564,2621,2394,2348,1097,1101,1105,964,2073,2566,2285,2550,2552,2554,2574,2297,1263,1145,120,119,111,853,813,864,807,121,117,110,106,102,537,458,567,592,753,481,775,610,746,547,616,486,750,459,432,764,475,468,506,825,606,477,526,591,589,687,827,572,784,549,527,703,685,684,745,564,530,443,431,525,608,480,642,686,583])).
% 18.89/19.06 cnf(2690,plain,
% 18.89/19.06 (E(x26901,f12(x26901,x26901,f53(x26902,a1)))),
% 18.89/19.06 inference(rename_variables,[],[2285])).
% 18.89/19.06 cnf(2695,plain,
% 18.89/19.06 (E(f11(x26951,x26951,f53(x26952,a1)),x26951)),
% 18.89/19.06 inference(rename_variables,[],[170])).
% 18.89/19.06 cnf(2696,plain,
% 18.89/19.06 (P6(x26961,f24(f3(f27(f27(x26962))),f27(f27(x26962))),f27(f27(x26962)),x26963)),
% 18.89/19.06 inference(scs_inference,[],[284,879,372,2557,883,155,170,196,265,340,141,230,2603,2639,2682,158,308,145,333,2561,2633,2636,2645,2659,2662,138,140,189,321,142,408,404,137,407,134,307,405,131,136,242,132,377,2221,2407,2175,1785,2428,1852,2350,2431,2398,2564,2621,2394,2348,1097,1101,1105,964,2073,2566,2285,2550,2552,2554,2574,2576,2297,1263,1145,120,119,111,853,813,864,807,121,117,110,106,102,537,458,567,592,753,481,775,610,746,547,616,486,750,459,432,764,475,468,506,825,606,477,526,591,589,687,827,572,784,549,527,703,685,684,745,564,530,443,431,525,608,480,642,686,583,103,655,114,104,113])).
% 18.89/19.06 cnf(2697,plain,
% 18.89/19.06 (~E(f45(f46(x26971,x26972,x26973),x26971),f45(f41(f53(x26974,a1)),x26975))),
% 18.89/19.06 inference(scs_inference,[],[284,879,372,2557,883,155,170,196,265,340,141,230,2603,2639,2682,158,308,145,333,2561,2633,2636,2645,2659,2662,138,140,189,321,142,408,404,137,407,134,307,405,236,131,136,242,132,377,2221,2407,2175,1785,2428,1852,2350,2431,2398,2564,2621,2394,2348,1097,1101,1105,964,2073,2566,2285,2550,2552,2554,2574,2576,2297,1263,1145,120,119,111,853,813,864,807,121,117,110,106,102,537,458,567,592,753,481,775,610,746,547,616,486,750,459,432,764,475,468,506,825,606,477,526,591,589,687,827,572,784,549,527,703,685,684,745,564,530,443,431,525,608,480,642,686,583,103,655,114,104,113,116])).
% 18.89/19.06 cnf(2700,plain,
% 18.89/19.06 (~P9(f14(a25,a54),f47(x27001,f48(x27001,f45(f18(x27002,x27003,f27(f41(f53(a51,a1))),x27004,x27005),x27003),x27006,a51),x27006,a51),f53(a51,a1))),
% 18.89/19.06 inference(scs_inference,[],[284,879,372,2557,883,155,327,170,196,265,340,141,230,2603,2639,2682,158,308,145,333,2561,2633,2636,2645,2659,2662,138,140,189,321,142,408,404,137,407,134,307,405,236,131,136,242,132,377,2221,2407,2175,1785,1877,2428,1852,2350,2431,2398,2564,2621,2394,2348,1097,1101,1105,964,2073,2566,2285,2550,2552,2554,2574,2576,2297,1263,1145,120,119,111,853,813,864,807,121,117,110,106,102,537,458,567,592,753,481,775,610,746,547,616,486,750,459,432,764,475,468,506,825,606,477,526,591,589,687,827,572,784,549,527,703,685,684,745,564,530,443,431,525,608,480,642,686,583,103,655,114,104,113,116,6,108])).
% 18.89/19.06 cnf(2701,plain,
% 18.89/19.06 (~P9(f14(a25,a54),f12(f45(f18(x27011,x27012,f27(f41(f53(a51,a1))),x27013,x27014),x27012),x27015,f53(a51,a1)),f53(a51,a1))),
% 18.89/19.06 inference(rename_variables,[],[2407])).
% 18.89/19.06 cnf(2703,plain,
% 18.89/19.06 (P8(f27(f27(x27031)),f27(x27031),x27032)),
% 18.89/19.06 inference(scs_inference,[],[284,879,372,2557,883,155,327,170,196,265,340,141,230,2603,2639,2682,158,308,145,333,2561,2633,2636,2645,2659,2662,138,140,189,321,142,160,408,404,137,407,134,307,405,236,131,136,242,132,377,2221,2407,2175,1785,1877,2428,1852,2350,2431,2398,2564,2621,2394,2348,1097,1101,1105,964,2073,2566,2285,2550,2552,2554,2574,2576,2297,1263,1145,120,119,111,853,813,864,807,121,117,110,106,102,537,458,567,592,753,481,775,610,746,547,616,486,750,459,432,764,475,468,506,825,606,477,526,591,589,687,827,572,784,549,527,703,685,684,745,564,530,443,431,525,608,480,642,686,583,103,655,114,104,113,116,6,108,127])).
% 18.89/19.06 cnf(2709,plain,
% 18.89/19.06 (~P9(f14(a25,a54),f12(f45(f18(x27091,x27092,f27(f41(f53(a51,a1))),x27093,x27094),x27092),x27095,f53(a51,a1)),f11(f53(a51,a1),f53(a51,a1),f53(x27096,a1)))),
% 18.89/19.06 inference(scs_inference,[],[284,879,372,2557,883,155,327,170,2695,196,265,340,141,230,2603,2639,2682,158,308,145,333,2561,2633,2636,2645,2659,2662,138,140,189,321,142,160,408,404,137,407,134,307,405,236,131,136,242,132,377,2221,2407,2701,2175,1785,1877,2428,1852,2350,2431,2398,2564,2621,2394,2348,1097,1101,1105,964,2073,2566,2285,2550,2552,2554,2574,2576,2690,2297,1263,1145,120,119,111,853,813,864,807,121,117,110,106,102,537,458,567,592,753,481,775,610,746,547,616,486,750,459,432,764,475,468,506,825,606,477,526,591,589,687,827,572,784,549,527,703,685,684,745,564,530,443,431,525,608,480,642,686,583,103,655,114,104,113,116,6,108,127,3,9,26,109])).
% 18.89/19.06 cnf(2710,plain,
% 18.89/19.06 (E(f11(x27101,x27101,f53(x27102,a1)),x27101)),
% 18.89/19.06 inference(rename_variables,[],[170])).
% 18.89/19.06 cnf(2712,plain,
% 18.89/19.06 (E(f11(x27121,x27121,f53(x27122,a1)),x27121)),
% 18.89/19.06 inference(rename_variables,[],[170])).
% 18.89/19.06 cnf(2713,plain,
% 18.89/19.06 (E(f27(x27131),f27(f27(x27131)))),
% 18.89/19.06 inference(scs_inference,[],[284,879,372,2557,883,155,327,170,2695,2710,196,265,340,141,230,2603,2639,2682,158,308,145,333,2561,2633,2636,2645,2659,2662,138,140,189,321,142,160,408,404,137,407,134,307,405,236,131,136,242,132,377,2221,2407,2701,2175,1785,1877,2428,1852,2350,2431,2398,2564,2621,2394,2348,1097,1101,1105,964,2073,2566,2285,2550,2552,2554,2574,2576,2690,2297,1263,1145,120,119,111,853,813,864,807,121,117,110,106,102,537,458,567,592,753,481,775,610,746,547,616,486,750,459,432,764,475,468,506,825,606,477,526,591,589,687,827,572,784,549,527,703,685,684,745,564,530,443,431,525,608,480,642,686,583,103,655,114,104,113,116,6,108,127,3,9,26,109,107,2])).
% 18.89/19.06 cnf(2723,plain,
% 18.89/19.06 (~E(f11(f21(x27231,f41(f12(a1,a1,f53(x27232,a1))),x27233),x27234,f12(a1,a1,f53(x27232,a1))),f41(f12(a1,a1,f53(x27232,a1))))),
% 18.89/19.06 inference(scs_inference,[],[284,879,372,2557,883,155,327,170,2695,2710,2712,190,196,265,340,141,230,2603,2639,2682,158,308,145,333,2561,2633,2636,2645,2659,2662,138,140,189,382,321,142,160,408,404,875,137,407,134,307,405,236,131,136,242,132,377,2221,2407,2701,2175,1785,1877,2428,1852,2350,2431,2398,2564,2621,2394,2338,2348,1097,1101,1105,964,2073,2566,2285,2550,2552,2554,2574,2576,2690,2297,1263,1145,120,119,111,853,813,864,807,121,117,110,106,102,537,458,567,592,753,481,775,610,746,547,616,486,750,459,432,764,475,468,506,825,606,477,526,591,589,687,827,572,784,549,527,703,685,684,745,564,530,443,431,525,608,480,642,686,583,103,655,114,104,113,116,6,108,127,3,9,26,109,107,2,126,105,631,871,482,462])).
% 18.89/19.06 cnf(2808,plain,
% 18.89/19.06 (~P7(f34(x28081,f30(x28082,x28083)),f13(f3(a2)),a51)),
% 18.89/19.06 inference(scs_inference,[],[399,521])).
% 18.89/19.06 cnf(2810,plain,
% 18.89/19.06 (~P7(f45(a40,x28101),f12(f47(f44(x28102),x28103,a49,a52),x28104,f53(a52,a1)),a52)),
% 18.89/19.06 inference(scs_inference,[],[412,399,521,659])).
% 18.89/19.06 cnf(2812,plain,
% 18.89/19.06 (P7(f45(a33,a56),f11(x28121,f27(f46(a57,f41(f53(a51,a1)),a51)),f53(a51,a1)),a51)),
% 18.89/19.06 inference(scs_inference,[],[284,412,399,521,659,597])).
% 18.89/19.06 cnf(2816,plain,
% 18.89/19.06 (P19(f45(f46(x28161,f43(f53(x28162,a1)),x28163),x28164))),
% 18.89/19.06 inference(scs_inference,[],[284,412,399,197,521,659,597,662,596])).
% 18.89/19.06 cnf(2821,plain,
% 18.89/19.06 (P7(f45(x28211,x28212),f47(x28211,f43(f53(x28213,a1)),x28213,x28214),x28214)),
% 18.89/19.06 inference(rename_variables,[],[307])).
% 18.89/19.06 cnf(2822,plain,
% 18.89/19.06 (P6(f20(x28221,x28222,x28223,f41(f53(a51,a1))),f47(x28222,x28221,x28223,f23(f41(f53(a51,a1)))),f23(f41(f53(a51,a1))),x28223)),
% 18.89/19.06 inference(rename_variables,[],[1745])).
% 18.89/19.06 cnf(2826,plain,
% 18.89/19.06 (P9(f41(a52),x28261,a52)),
% 18.89/19.06 inference(scs_inference,[],[284,412,146,266,376,399,197,307,2422,1745,521,659,597,662,596,545,734,446])).
% 18.89/19.06 cnf(2843,plain,
% 18.89/19.06 (P9(f24(x28431,x28432),f24(f21(x28433,x28431,x28432),x28432),f53(x28432,a1))),
% 18.89/19.06 inference(rename_variables,[],[256])).
% 18.89/19.06 cnf(2850,plain,
% 18.89/19.06 (P9(f24(x28501,x28502),f24(f21(x28503,x28501,x28502),x28502),f53(x28502,a1))),
% 18.89/19.06 inference(rename_variables,[],[256])).
% 18.89/19.06 cnf(2851,plain,
% 18.89/19.06 (P9(x28511,f46(x28512,x28511,x28513),f53(x28513,a1))),
% 18.89/19.06 inference(rename_variables,[],[216])).
% 18.89/19.06 cnf(2853,plain,
% 18.89/19.06 (P6(x28531,f47(x28532,f48(x28532,f41(f53(x28533,a1)),x28534,x28533),x28534,x28533),x28533,x28535)),
% 18.89/19.06 inference(scs_inference,[],[284,412,146,355,256,2843,266,315,376,216,399,333,197,307,2821,242,2422,2600,1745,1043,2340,2551,2487,2243,2428,1135,1145,521,659,597,662,596,545,734,446,614,439,853,440,579,537,458,567,753])).
% 18.89/19.06 cnf(2854,plain,
% 18.89/19.06 (P6(x28541,f41(f53(x28542,a1)),x28542,x28543)),
% 18.89/19.06 inference(rename_variables,[],[242])).
% 18.89/19.06 cnf(2855,plain,
% 18.89/19.06 (P9(f47(x28551,f48(x28551,x28552,x28553,x28554),x28553,x28554),x28552,f53(x28554,a1))),
% 18.89/19.06 inference(rename_variables,[],[333])).
% 18.89/19.06 cnf(2859,plain,
% 18.89/19.06 (P6(f18(f20(f12(f27(f41(f53(a51,a1))),f47(x28591,f41(f53(a51,a1)),a51,a51),f53(a51,a1)),f20(f41(f53(a51,a1)),x28591,a51,a51),a51,a51),x28592,x28593,a51,a51),f12(f27(f41(f53(a51,a1))),f47(x28591,f41(f53(a51,a1)),a51,a51),f53(a51,a1)),a51,a51)),
% 18.89/19.06 inference(scs_inference,[],[284,412,146,355,256,2843,2850,266,315,376,216,399,333,197,307,2821,242,2422,2600,1745,2641,1043,2340,2551,2563,2487,2243,2428,1135,1145,521,659,597,662,596,545,734,446,614,439,853,440,579,537,458,567,753,701,856])).
% 18.89/19.06 cnf(2863,plain,
% 18.89/19.06 (~E(f46(f45(a40,x28631),f47(f44(x28632),f21(x28633,f41(f53(a49,a1)),x28634),a49,a52),a52),f46(f45(a40,x28631),f41(f53(a52,a1)),a52))),
% 18.89/19.06 inference(scs_inference,[],[284,412,146,355,256,2843,2850,266,315,376,216,885,399,333,197,307,2821,242,2422,2600,1745,2641,1043,2340,2551,2563,2487,2243,2428,889,1135,1145,521,659,597,662,596,545,734,446,614,439,853,440,579,537,458,567,753,701,856,592])).
% 18.89/19.06 cnf(2864,plain,
% 18.89/19.06 (~P7(f45(a40,x28641),f47(f44(x28642),x28643,a49,a52),a52)),
% 18.89/19.06 inference(rename_variables,[],[412])).
% 18.89/19.06 cnf(2868,plain,
% 18.89/19.06 (P6(f20(x28681,x28682,f22(f45(a40,x28683)),x28684),f47(x28685,f48(x28685,f47(x28682,x28681,f22(f45(a40,x28683)),x28684),x28686,x28684),x28686,x28684),x28684,f45(a40,x28683))),
% 18.89/19.06 inference(scs_inference,[],[284,412,156,146,355,256,2843,2850,266,315,376,216,885,399,333,197,307,2821,242,2560,2422,2600,1745,2641,1043,2340,2551,2563,2487,2243,2428,889,1135,1145,521,659,597,662,596,545,734,446,614,439,853,440,579,537,458,567,753,701,856,592,115])).
% 18.89/19.06 cnf(2869,plain,
% 18.89/19.06 (P6(f20(x28691,x28692,x28693,x28694),f47(x28695,f48(x28695,f47(x28692,x28691,x28693,x28694),x28696,x28694),x28696,x28694),x28694,x28693)),
% 18.89/19.06 inference(rename_variables,[],[2560])).
% 18.89/19.06 cnf(2883,plain,
% 18.89/19.06 (P9(x28831,f11(f11(f11(x28832,x28831,a52),x28833,a52),x28834,a52),a52)),
% 18.89/19.06 inference(scs_inference,[],[284,412,214,156,146,355,256,2843,2850,266,315,376,216,885,139,399,333,197,407,307,2821,131,242,2560,2422,2577,2600,1745,2641,1043,2340,2551,1109,2596,2563,2467,2487,2243,2428,889,1135,1139,1145,521,659,597,662,596,545,734,446,614,439,853,440,579,537,458,567,753,701,856,592,115,746,547,481,479,775,750,566])).
% 18.89/19.06 cnf(2885,plain,
% 18.89/19.06 (P9(x28851,f46(x28852,f11(x28851,x28853,f53(x28854,a1)),x28854),f53(x28854,a1))),
% 18.89/19.06 inference(scs_inference,[],[284,412,214,156,146,355,256,2843,2850,266,315,376,216,2851,885,139,399,333,197,407,307,2821,131,242,2560,2422,2577,2600,1745,2641,1043,2340,2551,1109,2596,2563,2467,2487,2243,2428,889,1135,1139,1145,521,659,597,662,596,545,734,446,614,439,853,440,579,537,458,567,753,701,856,592,115,746,547,481,479,775,750,566,610])).
% 18.89/19.06 cnf(2886,plain,
% 18.89/19.06 (P9(x28861,f46(x28862,x28861,x28863),f53(x28863,a1))),
% 18.89/19.06 inference(rename_variables,[],[216])).
% 18.89/19.06 cnf(2889,plain,
% 18.89/19.06 (P7(x28891,f27(f46(x28891,x28892,a51)),x28893)),
% 18.89/19.06 inference(rename_variables,[],[2609])).
% 18.89/19.06 cnf(2895,plain,
% 18.89/19.06 (E(f45(x28951,f45(f20(f27(f46(a57,f41(f53(a51,a1)),a51)),x28951,a51,x28952),f45(x28951,f45(a33,a56)))),f45(x28951,f45(a33,a56)))),
% 18.89/19.06 inference(scs_inference,[],[284,412,2864,214,156,146,355,256,2843,2850,266,315,376,216,2851,885,139,399,333,197,407,307,2821,131,242,2560,2422,2577,2609,2600,1745,2641,2664,1043,2630,2635,2340,2551,1109,2596,2563,2467,2487,2243,2428,889,1135,1139,1145,521,659,597,662,596,545,734,446,614,439,853,440,579,537,458,567,753,701,856,592,115,746,547,481,479,775,750,566,610,764,475,459,825])).
% 18.89/19.06 cnf(2899,plain,
% 18.89/19.06 (P7(f37(f46(x28991,x28992,a51),x28991),f46(x28991,x28992,a51),a51)),
% 18.89/19.06 inference(scs_inference,[],[284,412,2864,214,156,146,355,256,2843,2850,266,315,376,216,2851,885,139,399,333,197,407,307,2821,131,242,2560,2869,2422,2577,2609,2889,2600,1745,2641,2664,1043,2630,2635,2340,2551,1109,2596,2563,2467,2487,2243,1175,2428,889,1135,1139,1145,521,659,597,662,596,545,734,446,614,439,853,440,579,537,458,567,753,701,856,592,115,746,547,481,479,775,750,566,610,764,475,459,825,112,506])).
% 18.89/19.06 cnf(2900,plain,
% 18.89/19.06 (P7(x29001,f27(f46(x29001,x29002,a51)),x29003)),
% 18.89/19.06 inference(rename_variables,[],[2609])).
% 18.89/19.06 cnf(2902,plain,
% 18.89/19.06 (~P9(f11(f11(f14(a25,a54),x29021,f53(a51,a1)),x29022,f53(a51,a1)),f12(f45(f18(x29023,x29024,f27(f41(f53(a51,a1))),x29025,x29026),x29024),x29027,f53(a51,a1)),f53(a51,a1))),
% 18.89/19.06 inference(scs_inference,[],[284,412,2864,214,156,146,355,256,2843,2850,266,315,376,216,2851,885,139,399,333,197,407,307,2821,131,242,2560,2869,2602,2422,2577,2609,2889,2600,1745,2641,2664,1043,2630,2635,2340,2551,1109,2596,2563,2467,2487,2243,1175,2428,889,1135,1139,1145,521,659,597,662,596,545,734,446,614,439,853,440,579,537,458,567,753,701,856,592,115,746,547,481,479,775,750,566,610,764,475,459,825,112,506,687])).
% 18.89/19.06 cnf(2904,plain,
% 18.89/19.06 (~P9(f14(a25,x29041),f23(f41(f53(a51,a1))),f53(a51,a1))),
% 18.89/19.06 inference(scs_inference,[],[284,412,2864,214,156,146,355,256,2843,2850,266,315,376,216,2851,885,139,399,333,197,407,307,2821,225,131,242,2560,2869,2602,2422,2577,2609,2889,2600,1745,2641,2664,1043,2630,2635,2340,2551,2605,1109,2596,2563,2467,2487,2243,1175,2428,889,1135,1139,1145,521,659,597,662,596,545,734,446,614,439,853,440,579,537,458,567,753,701,856,592,115,746,547,481,479,775,750,566,610,764,475,459,825,112,506,687,589])).
% 18.89/19.06 cnf(2908,plain,
% 18.89/19.06 (P9(x29081,f46(x29082,x29081,x29083),f53(x29083,a1))),
% 18.89/19.06 inference(rename_variables,[],[216])).
% 18.89/19.06 cnf(2910,plain,
% 18.89/19.06 (P7(f45(a33,a56),f27(f27(f46(a57,f41(f53(a51,a1)),a51))),a51)),
% 18.89/19.06 inference(scs_inference,[],[284,412,2864,214,156,146,355,256,2843,2850,266,315,376,216,2851,2886,885,139,399,333,197,407,307,2821,225,131,242,2560,2869,2602,2422,2577,2609,2889,2600,1745,2641,2664,1043,2630,2635,2616,2340,2551,2605,1109,2596,2563,2467,2487,2243,1175,2428,889,1135,1139,1145,521,659,597,662,596,545,734,446,614,439,853,440,579,537,458,567,753,701,856,592,115,746,547,481,479,775,750,566,610,764,475,459,825,112,506,687,589,616,486])).
% 18.89/19.06 cnf(2914,plain,
% 18.89/19.06 (P7(x29141,f27(f46(f34(f30(x29142,f34(x29141,x29143)),x29144),x29145,a51)),a51)),
% 18.89/19.06 inference(scs_inference,[],[284,412,2864,214,156,146,355,256,2843,2850,266,315,376,216,2851,2886,885,139,399,333,197,407,307,2821,225,131,242,2560,2869,2602,2422,2577,2609,2889,2600,1745,2641,2664,1043,2630,2635,2616,2340,2551,2605,1109,2596,2563,2467,2487,2243,2245,1175,2428,889,1135,1139,1145,521,659,597,662,596,545,734,446,614,439,853,440,579,537,458,567,753,701,856,592,115,746,547,481,479,775,750,566,610,764,475,459,825,112,506,687,589,616,486,468,526])).
% 18.89/19.06 cnf(2915,plain,
% 18.89/19.06 (P7(x29151,f27(f46(f34(f30(x29152,x29151),x29153),x29154,a51)),a51)),
% 18.89/19.06 inference(rename_variables,[],[2245])).
% 18.89/19.06 cnf(2922,plain,
% 18.89/19.06 (E(f45(x29221,f35(x29222)),f45(x29221,f35(f35(x29222))))),
% 18.89/19.06 inference(rename_variables,[],[2499])).
% 18.89/19.06 cnf(2924,plain,
% 18.89/19.06 (P9(f17(f12(x29241,x29242,f53(x29243,a1)),x29244,f53(x29243,a1)),x29241,f53(x29243,a1))),
% 18.89/19.06 inference(scs_inference,[],[284,412,2864,214,156,146,355,256,2843,2850,266,315,376,216,2851,2886,885,139,399,333,197,188,233,382,407,307,2821,225,131,242,2560,2869,2499,2602,2422,2577,2609,2889,2600,1745,2641,2664,1043,2630,2635,2616,2340,2551,2605,1109,2596,2563,2467,2487,2243,2245,1175,2428,889,1135,1139,1145,521,659,597,662,596,545,734,446,614,439,853,440,579,537,458,567,753,701,856,592,115,746,547,481,479,775,750,566,610,764,475,459,825,112,506,687,589,616,486,468,526,572,432,606])).
% 18.89/19.06 cnf(2927,plain,
% 18.89/19.06 (~P9(f21(x29271,f41(a1),x29272),f12(x29273,f41(a1),a1),a1)),
% 18.89/19.06 inference(scs_inference,[],[284,412,2864,214,156,146,355,256,2843,2850,266,315,376,216,2851,2886,885,139,399,333,197,188,233,382,130,407,307,2821,225,131,242,2560,2869,2499,2602,2422,2577,2609,2889,2600,1745,2641,2664,1043,2630,2635,2616,2340,2551,2605,1109,2596,1782,2563,2467,2487,2243,2245,1175,2428,889,1135,1139,1145,521,659,597,662,596,545,734,446,614,439,853,440,579,537,458,567,753,701,856,592,115,746,547,481,479,775,750,566,610,764,475,459,825,112,506,687,589,616,486,468,526,572,432,606,604])).
% 18.89/19.06 cnf(2929,plain,
% 18.89/19.06 (~P7(f34(f30(x29291,f31(x29292)),x29293),f27(f11(f27(f27(f14(x29294,f3(a2)))),f27(f27(f14(x29294,f3(a2)))),f53(a51,a1))),a51)),
% 18.89/19.06 inference(scs_inference,[],[284,412,2864,214,156,146,355,256,2843,2850,266,315,376,216,2851,2886,292,885,139,399,333,197,188,233,382,130,407,307,2821,225,131,242,2560,2869,2499,2602,2422,2577,2609,2889,2600,1745,2641,2664,1043,2630,2635,2616,2340,2551,2605,1109,2596,1782,2563,2467,2487,2243,2245,1175,2428,889,1135,1139,1145,521,659,597,662,596,545,734,446,614,439,853,440,579,537,458,567,753,701,856,592,115,746,547,481,479,775,750,566,610,764,475,459,825,112,506,687,589,616,486,468,526,572,432,606,604,591])).
% 18.89/19.06 cnf(2935,plain,
% 18.89/19.06 (P9(x29351,f46(x29352,x29351,x29353),f53(x29353,a1))),
% 18.89/19.06 inference(rename_variables,[],[216])).
% 18.89/19.06 cnf(2946,plain,
% 18.89/19.06 (~P9(f11(f14(a25,a54),x29461,f53(a51,a1)),f12(f12(f45(f18(x29462,x29463,f27(f41(f53(a51,a1))),x29464,x29465),x29463),x29466,f53(a51,a1)),x29467,f53(a51,a1)),f53(a51,a1))),
% 18.89/19.06 inference(scs_inference,[],[284,412,2864,214,241,156,146,355,256,2843,2850,266,315,376,216,2851,2886,2908,292,885,139,399,333,197,188,233,382,130,407,307,2821,225,131,242,2560,2869,2499,2602,2422,2577,2609,2889,2600,1745,2641,2664,1043,1960,2723,2630,2635,2616,2340,2551,2553,2605,1109,2596,1782,2563,2467,2487,2243,2245,1175,2428,889,1135,1139,1145,521,659,597,662,596,545,734,446,614,439,853,440,579,537,458,567,753,701,856,592,115,746,547,481,479,775,750,566,610,764,475,459,825,112,506,687,589,616,486,468,526,572,432,606,604,591,480,784,477,827,478,549,685])).
% 18.89/19.06 cnf(2948,plain,
% 18.89/19.06 (~P9(f11(f14(a25,a54),x29481,f53(a51,a1)),f12(x29482,f12(f45(f18(x29483,x29484,f27(f41(f53(a51,a1))),x29485,x29486),x29484),x29487,f53(a51,a1)),f53(a51,a1)),f53(a51,a1))),
% 18.89/19.06 inference(scs_inference,[],[284,412,2864,214,241,156,146,355,256,2843,2850,266,315,376,216,2851,2886,2908,292,885,139,399,333,197,188,233,382,130,407,307,2821,225,131,242,2560,2869,2499,2602,2422,2577,2609,2889,2600,1745,2641,2664,1043,1960,2723,2630,2635,2616,2340,2551,2553,2605,1109,2596,1782,2563,2467,2487,2243,2245,1175,2428,889,1135,1139,1145,521,659,597,662,596,545,734,446,614,439,853,440,579,537,458,567,753,701,856,592,115,746,547,481,479,775,750,566,610,764,475,459,825,112,506,687,589,616,486,468,526,572,432,606,604,591,480,784,477,827,478,549,685,684])).
% 18.89/19.06 cnf(2951,plain,
% 18.89/19.06 (P9(x29511,f46(x29512,x29511,x29513),f53(x29513,a1))),
% 18.89/19.06 inference(rename_variables,[],[216])).
% 18.89/19.06 cnf(2955,plain,
% 18.89/19.06 (P7(x29551,f27(f46(f30(x29552,x29551),x29553,a51)),a51)),
% 18.89/19.06 inference(scs_inference,[],[284,412,2864,214,241,156,146,355,256,2843,2850,266,315,376,216,2851,2886,2908,2935,292,885,139,399,333,197,188,233,382,130,407,307,2821,225,131,242,2560,2869,2499,2602,2422,2577,2609,2889,2900,2600,1745,2641,2664,1043,1960,2723,2630,2635,2616,2340,2551,2553,2605,1109,2596,1782,2563,2467,2487,2243,2245,1175,2428,889,1135,1139,1145,521,659,597,662,596,545,734,446,614,439,853,440,579,537,458,567,753,701,856,592,115,746,547,481,479,775,750,566,610,764,475,459,825,112,506,687,589,616,486,468,526,572,432,606,604,591,480,784,477,827,478,549,685,684,583,642,527])).
% 18.89/19.06 cnf(2958,plain,
% 18.89/19.06 (E(f12(x29581,f12(x29582,f41(f53(x29583,a1)),f53(x29583,a1)),f53(x29583,a1)),f41(f53(x29583,a1)))),
% 18.89/19.06 inference(scs_inference,[],[284,412,2864,214,241,156,146,355,256,2843,2850,266,315,376,216,2851,2886,2908,2935,292,885,139,399,333,197,188,233,382,130,407,307,2821,225,131,242,2560,2869,2499,2602,2422,2577,2609,2889,2900,932,2600,1745,2641,2664,1043,1960,2723,2630,2635,2616,2340,2551,2553,2605,1109,2596,1782,2563,2467,2487,2243,2245,1175,2428,889,1135,1139,1145,521,659,597,662,596,545,734,446,614,439,853,440,579,537,458,567,753,701,856,592,115,746,547,481,479,775,750,566,610,764,475,459,825,112,506,687,589,616,486,468,526,572,432,606,604,591,480,784,477,827,478,549,685,684,583,642,527,564])).
% 18.89/19.06 cnf(2965,plain,
% 18.89/19.06 (E(f45(x29651,f45(f20(f27(f14(a25,a54)),x29651,a51,x29652),f45(x29651,f30(a55,a57)))),f45(x29651,f30(a55,a57)))),
% 18.89/19.06 inference(rename_variables,[],[2381])).
% 18.89/19.06 cnf(2973,plain,
% 18.89/19.06 (P9(x29731,f46(x29732,x29731,x29733),f53(x29733,a1))),
% 18.89/19.06 inference(rename_variables,[],[216])).
% 18.89/19.06 cnf(2986,plain,
% 18.89/19.06 (P6(f20(f46(x29861,x29862,x29863),x29864,x29863,f41(f53(a51,a1))),f46(f45(x29864,x29861),f47(x29864,x29862,x29863,f23(f41(f53(a51,a1)))),f23(f41(f53(a51,a1)))),f23(f41(f53(a51,a1))),x29863)),
% 18.89/19.06 inference(scs_inference,[],[284,412,2864,214,241,410,156,310,318,146,355,256,2843,2850,266,315,376,216,2851,2886,2908,2935,2951,229,292,885,139,399,333,197,188,233,382,130,407,307,2821,225,131,242,2854,2560,2869,2499,2602,2422,2577,2381,2965,2609,2889,2900,932,2600,1745,2822,2641,2664,1043,1960,2723,2630,2635,2616,2340,2551,2553,2605,1109,2596,1782,2563,2467,2487,2243,2245,2915,1175,2428,889,1135,1139,1145,521,659,597,662,596,545,734,446,614,439,853,440,579,537,458,567,753,701,856,592,115,746,547,481,479,775,750,566,610,764,475,459,825,112,506,687,589,616,486,468,526,572,432,606,604,591,480,784,477,827,478,549,685,684,583,642,527,564,530,443,431,655,608,525,686,103,114,104,113])).
% 18.89/19.06 cnf(2992,plain,
% 18.89/19.06 (~P19(f11(f41(f53(x29921,a1)),f45(f41(f53(x29922,a1)),x29923),f53(x29921,a1)))),
% 18.89/19.06 inference(scs_inference,[],[284,412,2864,214,241,410,156,310,318,193,146,355,256,2843,2850,266,315,376,216,2851,2886,2908,2935,2951,229,292,885,139,399,333,2855,197,188,233,382,130,407,307,2821,225,405,131,242,2854,2560,2869,2499,2602,2422,2577,2381,2965,2609,2889,2900,932,2600,1745,2822,2641,2664,1043,1960,2723,2630,2635,2616,2340,2551,2553,2605,1109,2596,1782,2563,2467,2487,2243,2245,2915,1175,2428,889,1135,1139,1145,521,659,597,662,596,545,734,446,614,439,853,440,579,537,458,567,753,701,856,592,115,746,547,481,479,775,750,566,610,764,475,459,825,112,506,687,589,616,486,468,526,572,432,606,604,591,480,784,477,827,478,549,685,684,583,642,527,564,530,443,431,655,608,525,686,103,114,104,113,6,108,116])).
% 18.89/19.06 cnf(2993,plain,
% 18.89/19.06 (P8(f27(f27(f47(a33,x29931,a52,a51))),f47(a33,x29931,a52,a51),x29932)),
% 18.89/19.06 inference(scs_inference,[],[284,412,2864,214,241,410,156,310,311,318,193,146,355,256,2843,2850,266,315,376,216,2851,2886,2908,2935,2951,229,292,885,139,399,333,2855,197,188,233,382,130,407,307,2821,225,405,131,242,2854,2560,2869,2499,2703,2602,2422,2577,2381,2965,2609,2889,2900,932,2600,1745,2822,2641,2664,1043,1960,2723,2630,2635,2616,2340,2551,2553,2605,1109,2596,1782,2563,2467,2487,2243,2245,2915,1175,2428,889,1135,1139,1145,521,659,597,662,596,545,734,446,614,439,853,440,579,537,458,567,753,701,856,592,115,746,547,481,479,775,750,566,610,764,475,459,825,112,506,687,589,616,486,468,526,572,432,606,604,591,480,784,477,827,478,549,685,684,583,642,527,564,530,443,431,655,608,525,686,103,114,104,113,6,108,116,127])).
% 18.89/19.06 cnf(2995,plain,
% 18.89/19.06 (E(x29951,f12(x29951,x29951,f53(x29952,a1)))),
% 18.89/19.06 inference(rename_variables,[],[2285])).
% 18.89/19.06 cnf(2997,plain,
% 18.89/19.06 (E(f22(f45(a40,x29971)),f45(a40,x29971))),
% 18.89/19.06 inference(rename_variables,[],[156])).
% 18.89/19.06 cnf(3004,plain,
% 18.89/19.06 (P8(f45(a40,x30041),f22(f45(a40,x30041)),x30042)),
% 18.89/19.06 inference(scs_inference,[],[284,350,412,2864,214,241,410,156,2997,310,311,318,193,146,355,256,2843,2850,266,315,376,216,2851,2886,2908,2935,2951,2973,229,292,885,139,399,333,2855,197,188,233,160,382,130,407,307,2821,225,405,131,242,2854,2560,2869,2499,2922,2703,2602,2422,2577,2381,2965,2609,2889,2900,932,2600,1745,2822,2641,2664,1043,1960,2723,2630,2635,2616,2340,2551,2553,2605,1109,2596,1782,2563,2467,2487,2243,2245,2915,1175,2428,889,2285,2995,1135,1139,1145,521,659,597,662,596,545,734,446,614,439,853,440,579,537,458,567,753,701,856,592,115,746,547,481,479,775,750,566,610,764,475,459,825,112,506,687,589,616,486,468,526,572,432,606,604,591,480,784,477,827,478,549,685,684,583,642,527,564,530,443,431,655,608,525,686,103,114,104,113,6,108,116,127,109,3,105,107,2,126])).
% 18.89/19.06 cnf(3460,plain,
% 18.89/19.06 (P7(f45(x34601,x34602),f47(x34601,f43(f53(x34603,a1)),x34603,x34604),x34604)),
% 18.89/19.06 inference(rename_variables,[],[307])).
% 18.89/19.06 cnf(3463,plain,
% 18.89/19.06 (P7(x34631,f46(x34631,x34632,x34633),x34634)),
% 18.89/19.06 inference(rename_variables,[],[887])).
% 18.89/19.06 cnf(3471,plain,
% 18.89/19.06 (~P19(f45(f47(x34711,f48(x34711,f41(f53(x34712,a1)),x34713,x34714),x34713,x34714),x34715))),
% 18.89/19.06 inference(rename_variables,[],[2668])).
% 18.89/19.06 cnf(3473,plain,
% 18.89/19.06 (P19(f45(f48(x34731,f43(f53(x34732,a1)),x34733,x34734),x34735))),
% 18.89/19.06 inference(scs_inference,[],[357,362,887,197,162,307,167,2668,859,584,760,850,817,794])).
% 18.89/19.06 cnf(3476,plain,
% 18.89/19.06 (P7(f21(f16(a25,x34761,f28(x34762)),f3(a2),a2),a42,f50(a2))),
% 18.89/19.06 inference(scs_inference,[],[357,362,887,164,197,162,307,167,2668,859,584,760,850,817,794,751])).
% 18.89/19.06 cnf(3477,plain,
% 18.89/19.06 (P7(f28(x34771),f35(x34772),a51)),
% 18.89/19.06 inference(rename_variables,[],[164])).
% 18.89/19.06 cnf(3480,plain,
% 18.89/19.06 (P1(f53(x34801,a1))),
% 18.89/19.06 inference(rename_variables,[],[1145])).
% 18.89/19.06 cnf(3483,plain,
% 18.89/19.06 (P7(x34831,f46(x34831,x34832,x34833),x34834)),
% 18.89/19.06 inference(rename_variables,[],[887])).
% 18.89/19.06 cnf(3487,plain,
% 18.89/19.06 (P7(f30(f45(f44(x34871),x34872),f28(x34873)),f35(f14(x34874,f3(a2))),a51)),
% 18.89/19.06 inference(scs_inference,[],[357,362,289,217,409,887,3463,164,3477,197,162,307,167,2668,2986,1145,859,584,760,850,817,794,751,578,780,490,599])).
% 18.89/19.06 cnf(3488,plain,
% 18.89/19.06 (P7(f28(x34881),f35(x34882),a51)),
% 18.89/19.06 inference(rename_variables,[],[164])).
% 18.89/19.06 cnf(3491,plain,
% 18.89/19.06 (~E(f45(a33,x34911),f32(x34912))),
% 18.89/19.06 inference(rename_variables,[],[356])).
% 18.89/19.06 cnf(3494,plain,
% 18.89/19.06 (P11(f53(x34941,a1))),
% 18.89/19.06 inference(rename_variables,[],[1139])).
% 18.89/19.06 cnf(3499,plain,
% 18.89/19.06 (~P7(f45(a33,f45(a40,a26)),f23(f14(a25,f3(a2))),a51)),
% 18.89/19.06 inference(scs_inference,[],[403,357,362,356,289,217,409,410,887,3463,164,3477,197,162,307,167,377,2668,2986,1930,1139,1145,859,584,760,850,817,794,751,578,780,490,599,602,577,551,671])).
% 18.89/19.06 cnf(3505,plain,
% 18.89/19.06 (P1(f53(x35051,a1))),
% 18.89/19.06 inference(rename_variables,[],[1145])).
% 18.89/19.06 cnf(3508,plain,
% 18.89/19.06 (P11(f53(x35081,a1))),
% 18.89/19.06 inference(rename_variables,[],[1139])).
% 18.89/19.06 cnf(3510,plain,
% 18.89/19.06 (~P7(f30(f45(a40,a25),f45(a33,a56)),f23(f14(a25,a54)),a51)),
% 18.89/19.06 inference(scs_inference,[],[403,357,362,356,289,217,409,410,887,3463,164,3477,197,162,307,167,883,159,377,2946,2668,2986,2899,1930,1139,3494,1145,3480,859,584,760,850,817,794,751,578,780,490,599,602,577,551,671,674,483,482,695])).
% 18.89/19.06 cnf(3512,plain,
% 18.89/19.06 (~P9(f46(f45(a40,x35121),f47(f44(x35122),f21(x35123,f41(f53(a49,a1)),x35124),a49,a52),a52),f46(f45(a40,x35121),f41(f53(a52,a1)),a52),f53(a52,a1))),
% 18.89/19.06 inference(scs_inference,[],[403,357,362,356,289,217,409,410,887,3463,164,3477,197,162,307,167,883,394,159,377,2946,2668,2986,2863,2899,1930,1139,3494,1145,3480,859,584,760,850,817,794,751,578,780,490,599,602,577,551,671,674,483,482,695,726])).
% 18.89/19.06 cnf(3519,plain,
% 18.89/19.06 (~P9(f11(f14(a25,a54),x35191,f53(a51,a1)),f12(x35192,f12(f12(f45(f18(x35193,x35194,f27(f41(f53(a51,a1))),x35195,x35196),x35194),x35197,f53(a51,a1)),x35198,f53(a51,a1)),f53(a51,a1)),f53(a51,a1))),
% 18.89/19.06 inference(scs_inference,[],[403,357,362,356,289,217,409,410,887,3463,231,164,3477,197,162,307,167,883,394,159,377,2946,2668,2986,2863,2899,902,904,1393,1930,1135,1139,3494,1145,3480,859,584,760,850,817,794,751,578,780,490,599,602,577,551,671,674,483,482,695,726,587,586,567])).
% 18.89/19.06 cnf(3520,plain,
% 18.89/19.06 (P9(f12(x35201,x35202,f53(x35203,a1)),x35202,f53(x35203,a1))),
% 18.89/19.06 inference(rename_variables,[],[231])).
% 18.89/19.06 cnf(3523,plain,
% 18.89/19.06 (P9(f12(f12(f12(x35231,x35232,a52),x35233,a52),x35234,a52),x35232,a52)),
% 18.89/19.06 inference(scs_inference,[],[403,357,362,356,289,217,409,410,887,3463,231,164,3477,197,162,307,167,883,394,159,131,377,2946,2668,2986,2863,2899,2581,902,904,1393,1930,1135,1139,3494,1145,3480,859,584,760,850,817,794,751,578,780,490,599,602,577,551,671,674,483,482,695,726,587,586,567,579])).
% 18.89/19.06 cnf(3525,plain,
% 18.89/19.06 (P9(f23(f27(f11(x35251,x35252,f53(a51,a1)))),f23(f11(f27(x35251),f27(x35252),f53(a51,a1))),f53(a51,a1))),
% 18.89/19.06 inference(scs_inference,[],[403,357,362,356,289,217,409,410,887,3463,231,164,3477,197,162,307,167,883,394,159,131,377,2946,2668,2986,2863,2899,2581,902,904,1393,1930,1135,1139,3494,1145,3480,859,584,760,850,817,794,751,578,780,490,599,602,577,551,671,674,483,482,695,726,587,586,567,579,537])).
% 18.89/19.06 cnf(3530,plain,
% 18.89/19.06 (~P7(x35301,f41(f53(x35302,a1)),x35303)),
% 18.89/19.06 inference(rename_variables,[],[885])).
% 18.89/19.06 cnf(3536,plain,
% 18.89/19.06 (P11(f53(x35361,a1))),
% 18.89/19.06 inference(rename_variables,[],[1139])).
% 18.89/19.06 cnf(3538,plain,
% 18.89/19.06 (P7(f45(a33,a56),f27(f46(f34(f34(a57,x35381),x35382),x35383,a51)),a51)),
% 18.89/19.06 inference(scs_inference,[],[403,357,362,356,289,217,409,410,887,3463,885,231,164,3477,197,162,307,408,167,883,394,159,131,377,2946,2668,2986,2863,2383,2899,2581,2859,902,904,1393,1930,2641,1135,1139,3494,3508,1145,3480,859,584,760,850,817,794,751,578,780,490,599,602,577,551,671,674,483,482,695,726,587,586,567,579,537,458,542,856,638,746])).
% 18.89/19.06 cnf(3539,plain,
% 18.89/19.06 (~P7(x35391,f27(f41(f53(a51,a1))),a51)),
% 18.89/19.06 inference(rename_variables,[],[408])).
% 18.89/19.06 cnf(3541,plain,
% 18.89/19.06 (~P9(f11(f27(f14(a25,a54)),f27(x35411),f53(a51,a1)),f27(f41(f53(a51,a1))),f53(a51,a1))),
% 18.89/19.06 inference(scs_inference,[],[403,357,362,356,289,217,409,410,887,3463,885,231,164,3477,197,162,307,408,167,883,394,159,131,377,2946,2668,2986,2863,2383,2899,2581,2859,2396,902,904,1393,1930,2641,1137,1135,1139,3494,3508,1145,3480,859,584,760,850,817,794,751,578,780,490,599,602,577,551,671,674,483,482,695,726,587,586,567,579,537,458,542,856,638,746,566])).
% 18.89/19.06 cnf(3542,plain,
% 18.89/19.06 (P9(f27(f11(x35421,x35422,f53(a51,a1))),f11(f27(x35421),f27(x35422),f53(a51,a1)),f53(a51,a1))),
% 18.89/19.06 inference(rename_variables,[],[289])).
% 18.89/19.06 cnf(3550,plain,
% 18.89/19.06 (P9(f47(x35501,f12(x35502,x35503,f53(x35504,a1)),x35504,x35505),f12(f47(x35501,x35502,x35504,x35505),f47(x35501,x35503,x35504,x35505),f53(x35505,a1)),f53(x35505,a1))),
% 18.89/19.06 inference(rename_variables,[],[340])).
% 18.89/19.06 cnf(3552,plain,
% 18.89/19.06 (P9(x35521,f11(f11(x35522,f11(x35521,x35523,a52),a52),x35524,a52),a52)),
% 18.89/19.06 inference(scs_inference,[],[403,357,362,356,289,3542,217,409,413,410,340,887,3463,885,231,164,3477,197,162,137,307,408,167,883,394,159,131,377,2946,2668,2986,2863,2383,2899,2581,2676,2859,2396,902,904,1393,1930,2641,1137,1135,1139,3494,3508,1145,3480,3505,859,584,760,850,817,794,751,578,780,490,599,602,577,551,671,674,483,482,695,726,587,586,567,579,537,458,542,856,638,746,566,775,701,635,610])).
% 18.89/19.06 cnf(3555,plain,
% 18.89/19.06 (~E(f47(x35551,f21(x35552,f41(f53(x35553,a1)),x35554),x35553,x35555),f41(f53(x35555,a1)))),
% 18.89/19.06 inference(rename_variables,[],[889])).
% 18.89/19.06 cnf(3556,plain,
% 18.89/19.06 (~P7(x35561,f41(f53(x35562,a1)),x35563)),
% 18.89/19.06 inference(rename_variables,[],[885])).
% 18.89/19.06 cnf(3560,plain,
% 18.89/19.06 (P9(f12(x35601,x35602,f53(x35603,a1)),x35602,f53(x35603,a1))),
% 18.89/19.06 inference(rename_variables,[],[231])).
% 18.89/19.06 cnf(3562,plain,
% 18.89/19.06 (~P7(x35621,f47(x35622,f48(x35622,f41(f53(x35623,a1)),x35624,x35625),x35624,x35625),x35626)),
% 18.89/19.06 inference(scs_inference,[],[403,357,362,416,356,289,3542,217,409,413,410,889,340,887,3463,885,3530,231,3520,164,3477,197,162,137,307,408,167,883,394,159,131,377,2946,2668,3471,2986,2863,2383,2899,2581,2676,2859,2396,902,904,1393,1930,2641,1137,1135,1139,3494,3508,1145,3480,3505,859,584,760,850,817,794,751,578,780,490,599,602,577,551,671,674,483,482,695,726,587,586,567,579,537,458,542,856,638,746,566,775,701,635,610,592,589,468])).
% 18.89/19.06 cnf(3564,plain,
% 18.89/19.06 (P7(f45(a33,f45(f44(x35641),x35642)),f23(f14(x35643,f3(a2))),a51)),
% 18.89/19.06 inference(scs_inference,[],[403,357,362,416,356,289,3542,217,409,413,410,889,340,887,3463,885,3530,231,3520,164,3477,197,162,137,307,408,167,883,394,159,131,377,2946,2668,3471,2986,2863,2383,2899,2581,2676,2859,2396,902,904,1393,1930,2641,1137,1135,1139,3494,3508,1145,3480,3505,859,584,760,850,817,794,751,578,780,490,599,602,577,551,671,674,483,482,695,726,587,586,567,579,537,458,542,856,638,746,566,775,701,635,610,592,589,468,475])).
% 18.89/19.06 cnf(3567,plain,
% 18.89/19.06 (P9(x35671,f11(x35672,x35671,f53(x35673,a1)),f53(x35673,a1))),
% 18.89/19.06 inference(rename_variables,[],[229])).
% 18.89/19.06 cnf(3569,plain,
% 18.89/19.06 (~P9(f23(f27(f46(a57,f41(f53(a51,a1)),a51))),f23(f14(a25,a54)),f53(a51,a1))),
% 18.89/19.06 inference(scs_inference,[],[403,357,362,416,356,289,3542,217,409,413,410,889,340,887,3463,229,885,3530,231,3520,164,3477,197,162,137,307,408,167,883,394,159,131,377,2946,2668,3471,2986,2687,2863,2383,2899,2581,2676,2859,2396,902,904,1393,1930,2641,1137,1135,1139,3494,3508,1145,3480,3505,859,584,760,850,817,794,751,578,780,490,599,602,577,551,671,674,483,482,695,726,587,586,567,579,537,458,542,856,638,746,566,775,701,635,610,592,589,468,475,687,547])).
% 18.89/19.06 cnf(3576,plain,
% 18.89/19.06 (P9(x35761,f46(x35762,x35761,x35763),f53(x35763,a1))),
% 18.89/19.06 inference(rename_variables,[],[216])).
% 18.89/19.06 cnf(3585,plain,
% 18.89/19.06 (P7(x35851,f27(f11(x35852,f46(f34(f30(x35853,f34(f30(x35854,x35851),x35855)),x35856),x35857,a51),f53(a51,a1))),a51)),
% 18.89/19.06 inference(scs_inference,[],[403,357,362,416,356,289,3542,217,409,413,410,889,340,887,3463,216,229,885,3530,231,3520,164,3477,188,197,162,404,137,307,408,167,883,394,159,131,377,2946,2668,3471,2816,2986,2687,2863,2383,2955,2914,2899,2581,2676,2859,2396,902,904,1393,1930,2641,1137,1135,1139,3494,3508,1145,3480,3505,859,584,760,850,817,794,751,578,780,490,599,602,577,551,671,674,483,482,695,726,587,586,567,579,537,458,542,856,638,746,566,775,701,635,610,592,589,468,475,687,547,486,479,572,745,432,459,764])).
% 18.89/19.06 cnf(3588,plain,
% 18.89/19.06 (~P7(f32(x35881),f47(a33,x35882,x35883,x35884),x35884)),
% 18.89/19.06 inference(scs_inference,[],[403,357,362,416,356,3491,289,3542,217,409,413,410,889,340,887,3463,216,229,885,3530,231,3520,164,3477,188,197,162,404,137,307,408,167,883,394,159,131,377,2946,2668,3471,2816,2986,2687,2863,2383,2955,2914,2899,2581,2676,2859,2396,902,904,1393,1930,2641,1137,1135,1139,3494,3508,1145,3480,3505,859,584,760,850,817,794,751,578,780,490,599,602,577,551,671,674,483,482,695,726,587,586,567,579,537,458,542,856,638,746,566,775,701,635,610,592,589,468,475,687,547,486,479,572,745,432,459,764,825])).
% 18.89/19.06 cnf(3592,plain,
% 18.89/19.06 (P9(x35921,f27(x35921),f53(a51,a1))),
% 18.89/19.06 inference(rename_variables,[],[174])).
% 18.89/19.06 cnf(3597,plain,
% 18.89/19.06 (P11(f53(x35971,a1))),
% 18.89/19.06 inference(rename_variables,[],[1139])).
% 18.89/19.06 cnf(3599,plain,
% 18.89/19.06 (P9(x35991,f27(f35(f27(f27(x35991)))),f53(a51,a1))),
% 18.89/19.06 inference(scs_inference,[],[403,357,362,416,356,3491,289,3542,217,409,413,410,889,340,887,3463,174,216,229,885,3530,231,3520,164,3477,188,197,162,404,137,307,408,167,883,394,159,131,377,2651,2946,2668,3471,2816,2910,2986,2687,2863,2383,2955,2914,2899,2581,2676,2859,2396,902,904,1393,1930,2641,1137,1135,1139,3494,3508,3536,1145,3480,3505,859,584,760,850,817,794,751,578,780,490,599,602,577,551,671,674,483,482,695,726,587,586,567,579,537,458,542,856,638,746,566,775,701,635,610,592,589,468,475,687,547,486,479,572,745,432,459,764,825,616,591,478,549])).
% 18.89/19.06 cnf(3602,plain,
% 18.89/19.06 (~P7(x36021,f27(f41(f53(x36022,a1))),a51)),
% 18.89/19.06 inference(scs_inference,[],[403,357,362,416,356,3491,289,3542,217,409,413,410,889,340,887,3463,174,216,229,885,3530,3556,231,3520,164,3477,188,197,162,404,137,307,408,167,883,394,159,131,377,2651,2946,2668,3471,2816,2910,2986,2687,2863,2383,2955,2914,2899,2581,2676,2859,2396,902,904,1393,1930,2641,1137,1135,1139,3494,3508,3536,1145,3480,3505,859,584,760,850,817,794,751,578,780,490,599,602,577,551,671,674,483,482,695,726,587,586,567,579,537,458,542,856,638,746,566,775,701,635,610,592,589,468,475,687,547,486,479,572,745,432,459,764,825,616,591,478,549,506])).
% 18.89/19.06 cnf(3603,plain,
% 18.89/19.06 (~P7(x36031,f41(f53(x36032,a1)),x36033)),
% 18.89/19.06 inference(rename_variables,[],[885])).
% 18.89/19.06 cnf(3609,plain,
% 18.89/19.06 (P9(f27(f11(x36091,x36092,f53(a51,a1))),f11(f27(x36091),f27(x36092),f53(a51,a1)),f53(a51,a1))),
% 18.89/19.06 inference(rename_variables,[],[289])).
% 18.89/19.06 cnf(3611,plain,
% 18.89/19.06 (~P9(f21(x36111,f41(a1),x36112),f12(f12(x36113,f41(a1),a1),x36114,a1),a1)),
% 18.89/19.06 inference(scs_inference,[],[403,357,362,416,356,3491,289,3542,217,409,413,410,889,340,887,3463,174,216,229,885,3530,3556,231,3520,164,3477,188,233,130,197,162,404,137,307,408,167,883,394,159,131,377,2651,2946,2668,3471,2816,2910,2986,2687,2863,2613,2383,2955,2914,2899,2581,2676,2927,2859,2396,902,904,1393,1930,2641,1137,1135,1139,3494,3508,3536,1145,3480,3505,859,584,760,850,817,794,751,578,780,490,599,602,577,551,671,674,483,482,695,726,587,586,567,579,537,458,542,856,638,746,566,775,701,635,610,592,589,468,475,687,547,486,479,572,745,432,459,764,825,616,591,478,549,506,684,583,606])).
% 18.89/19.06 cnf(3613,plain,
% 18.89/19.06 (P7(x36131,f27(f46(f30(x36132,f34(x36131,x36133)),x36134,a51)),a51)),
% 18.89/19.06 inference(scs_inference,[],[403,357,362,416,356,3491,289,3542,217,409,413,410,889,340,887,3463,174,216,229,885,3530,3556,231,3520,164,3477,188,233,130,197,162,404,137,307,408,167,883,394,159,131,377,2651,2946,2668,3471,2816,2910,2986,2687,2863,2613,2383,2955,2914,2899,2581,2676,2927,2859,2396,902,904,1393,1930,2641,1137,1135,1139,3494,3508,3536,1145,3480,3505,859,584,760,850,817,794,751,578,780,490,599,602,577,551,671,674,483,482,695,726,587,586,567,579,537,458,542,856,638,746,566,775,701,635,610,592,589,468,475,687,547,486,479,572,745,432,459,764,825,616,591,478,549,506,684,583,606,526])).
% 18.89/19.06 cnf(3614,plain,
% 18.89/19.06 (P7(x36141,f27(f46(f30(x36142,x36141),x36143,a51)),a51)),
% 18.89/19.06 inference(rename_variables,[],[2955])).
% 18.89/19.06 cnf(3616,plain,
% 18.89/19.06 (P7(x36161,f27(f46(f30(x36162,f30(x36163,x36161)),x36164,a51)),a51)),
% 18.89/19.06 inference(scs_inference,[],[403,357,362,416,356,3491,289,3542,217,409,413,410,889,340,887,3463,174,216,229,885,3530,3556,231,3520,164,3477,188,233,130,197,162,404,137,307,408,167,883,394,159,131,377,2651,2946,2668,3471,2816,2910,2986,2687,2863,2613,2383,2955,3614,2914,2899,2581,2676,2927,2859,2396,902,904,1393,1930,2641,1137,1135,1139,3494,3508,3536,1145,3480,3505,859,584,760,850,817,794,751,578,780,490,599,602,577,551,671,674,483,482,695,726,587,586,567,579,537,458,542,856,638,746,566,775,701,635,610,592,589,468,475,687,547,486,479,572,745,432,459,764,825,616,591,478,549,506,684,583,606,526,527])).
% 18.89/19.06 cnf(3617,plain,
% 18.89/19.06 (P7(x36171,f27(f46(f30(x36172,x36171),x36173,a51)),a51)),
% 18.89/19.06 inference(rename_variables,[],[2955])).
% 18.89/19.06 cnf(3623,plain,
% 18.89/19.06 (P9(x36231,f11(f11(x36232,f11(x36233,x36231,a52),a52),x36234,a52),a52)),
% 18.89/19.06 inference(scs_inference,[],[403,357,362,416,356,3491,289,3542,320,217,409,413,410,889,3555,340,887,3463,174,216,229,885,3530,3556,231,3520,164,3477,188,233,130,197,162,404,137,307,408,167,883,394,159,131,377,2651,2946,2668,3471,2816,2910,2986,2687,2863,2613,2383,2955,3614,2914,2899,2581,2676,2927,2859,2396,902,904,1393,1930,2641,1137,1135,1139,3494,3508,3536,1145,3480,3505,859,584,760,850,817,794,751,578,780,490,599,602,577,551,671,674,483,482,695,726,587,586,567,579,537,458,542,856,638,746,566,775,701,635,610,592,589,468,475,687,547,486,479,572,745,432,459,764,825,616,591,478,549,506,684,583,606,526,527,703,564,608])).
% 18.89/19.06 cnf(3627,plain,
% 18.89/19.06 (~P9(f11(f14(a25,a54),x36271,f53(a51,a1)),f12(x36272,f12(x36273,f12(f45(f18(x36274,x36275,f27(f41(f53(a51,a1))),x36276,x36277),x36275),x36278,f53(a51,a1)),f53(a51,a1)),f53(a51,a1)),f53(a51,a1))),
% 18.89/19.06 inference(scs_inference,[],[403,357,362,416,356,3491,289,3542,320,217,409,413,410,889,3555,340,887,3463,174,216,229,885,3530,3556,231,3520,164,3477,188,233,130,197,162,404,137,307,408,167,883,394,159,131,377,2651,2946,2948,2668,3471,2816,2910,2986,2687,2863,2613,2383,2955,3614,2914,2899,2581,2676,2927,2859,2396,902,904,1393,1930,2641,1137,1135,1139,3494,3508,3536,1145,3480,3505,859,584,760,850,817,794,751,578,780,490,599,602,577,551,671,674,483,482,695,726,587,586,567,579,537,458,542,856,638,746,566,775,701,635,610,592,589,468,475,687,547,486,479,572,745,432,459,764,825,616,591,478,549,506,684,583,606,526,527,703,564,608,443,604])).
% 18.89/19.06 cnf(3628,plain,
% 18.89/19.06 (P1(f53(x36281,a1))),
% 18.89/19.06 inference(rename_variables,[],[1145])).
% 18.89/19.06 cnf(3634,plain,
% 18.89/19.06 (P9(f47(x36341,f12(x36342,x36343,f53(x36344,a1)),x36344,x36345),f12(f47(x36341,x36342,x36344,x36345),f47(x36341,x36343,x36344,x36345),f53(x36345,a1)),f53(x36345,a1))),
% 18.89/19.06 inference(rename_variables,[],[340])).
% 18.89/19.06 cnf(3636,plain,
% 18.89/19.06 (P7(x36361,f27(f46(f30(x36362,f34(x36363,x36361)),x36364,a51)),a51)),
% 18.89/19.06 inference(scs_inference,[],[403,357,362,416,356,3491,289,3542,3609,320,217,409,413,410,889,3555,340,3550,887,3463,174,216,229,885,3530,3556,231,3520,164,3477,188,233,130,197,162,404,137,307,408,167,883,394,159,131,377,2651,2946,2948,2668,3471,2816,2910,2986,2687,2863,2613,2383,2955,3614,3617,2914,2899,2581,2676,2927,2859,2396,902,904,1393,1778,1930,2641,1137,1135,1139,3494,3508,3536,1145,3480,3505,3628,859,584,760,850,817,794,751,578,780,490,599,602,577,551,671,674,483,482,695,726,587,586,567,579,537,458,542,856,638,746,566,775,701,635,610,592,589,468,475,687,547,486,479,572,745,432,459,764,825,616,591,478,549,506,684,583,606,526,527,703,564,608,443,604,480,784,525])).
% 18.89/19.06 cnf(3639,plain,
% 18.89/19.06 (P9(f17(f12(f12(x36391,x36392,f53(x36393,a1)),x36394,f53(x36393,a1)),x36395,f53(x36393,a1)),x36391,f53(x36393,a1))),
% 18.89/19.06 inference(scs_inference,[],[403,357,362,416,356,3491,289,3542,3609,320,217,409,413,410,889,3555,340,3550,887,3463,174,216,229,885,3530,3556,231,3520,164,3477,188,233,130,197,162,404,137,307,408,167,883,394,159,131,377,2651,2946,2948,2668,3471,2816,2924,2910,2986,2687,2863,2613,2383,2955,3614,3617,2914,2899,2581,2676,2927,2859,2396,902,904,1393,1778,1930,2641,1137,1135,1139,3494,3508,3536,1145,3480,3505,3628,859,584,760,850,817,794,751,578,780,490,599,602,577,551,671,674,483,482,695,726,587,586,567,579,537,458,542,856,638,746,566,775,701,635,610,592,589,468,475,687,547,486,479,572,745,432,459,764,825,616,591,478,549,506,684,583,606,526,527,703,564,608,443,604,480,784,525,685])).
% 18.89/19.06 cnf(3642,plain,
% 18.89/19.06 (~P7(x36421,f47(x36422,f41(f53(x36423,a1)),x36424,x36425),x36425)),
% 18.89/19.06 inference(scs_inference,[],[403,357,362,416,356,3491,289,3542,3609,320,217,409,413,410,889,3555,340,3550,887,3463,174,216,229,885,3530,3556,3603,231,3520,164,3477,188,233,130,197,162,404,137,307,408,167,883,394,159,131,377,2651,2946,2948,2668,3471,2816,2924,2910,2986,2687,2863,2613,2383,2955,3614,3617,2914,2899,2581,2676,2927,2859,2396,902,904,1393,1778,1930,2641,1137,1135,1139,3494,3508,3536,1145,3480,3505,3628,859,584,760,850,817,794,751,578,780,490,599,602,577,551,671,674,483,482,695,726,587,586,567,579,537,458,542,856,638,746,566,775,701,635,610,592,589,468,475,687,547,486,479,572,745,432,459,764,825,616,591,478,549,506,684,583,606,526,527,703,564,608,443,604,480,784,525,685,827])).
% 18.89/19.06 cnf(3643,plain,
% 18.89/19.06 (~P7(x36431,f41(f53(x36432,a1)),x36433)),
% 18.89/19.06 inference(rename_variables,[],[885])).
% 18.89/19.06 cnf(3647,plain,
% 18.89/19.06 (P7(x36471,f46(x36472,f46(x36471,x36473,x36474),x36474),x36474)),
% 18.89/19.06 inference(scs_inference,[],[403,357,362,416,356,3491,289,3542,3609,320,217,409,413,410,889,3555,340,3550,887,3463,174,216,3576,229,885,3530,3556,3603,231,3520,164,3477,188,233,130,197,162,404,137,307,408,167,883,394,159,131,377,2651,2946,2948,2668,3471,2816,2924,2910,2986,2687,2863,2929,2613,2383,2955,3614,3617,2914,2899,2581,2676,2927,2859,2396,902,904,1393,1778,1930,2641,1137,1135,1139,3494,3508,3536,1145,3480,3505,3628,859,584,760,850,817,794,751,578,780,490,599,602,577,551,671,674,483,482,695,726,587,586,567,579,537,458,542,856,638,746,566,775,701,635,610,592,589,468,475,687,547,486,479,572,745,432,459,764,825,616,591,478,549,506,684,583,606,526,527,703,564,608,443,604,480,784,525,685,827,477,642])).
% 18.89/19.06 cnf(3651,plain,
% 18.89/19.06 (P9(x36511,f11(x36511,x36512,f53(x36513,a1)),f53(x36513,a1))),
% 18.89/19.06 inference(rename_variables,[],[230])).
% 18.89/19.06 cnf(3661,plain,
% 18.89/19.06 (P7(x36611,f46(x36611,x36612,x36613),x36614)),
% 18.89/19.06 inference(rename_variables,[],[887])).
% 18.89/19.06 cnf(3662,plain,
% 18.89/19.06 (~E(f46(x36621,x36622,x36623),f41(f53(x36624,a1)))),
% 18.89/19.06 inference(scs_inference,[],[403,357,362,416,224,356,3491,289,3542,3609,320,217,409,413,410,889,3555,340,3550,230,887,3463,3483,174,216,3576,229,3567,885,3530,3556,3603,231,3520,164,3477,188,233,130,197,162,404,137,307,408,167,883,394,236,159,405,131,377,2651,2946,2948,2668,3471,2816,2697,2924,2910,2986,2687,2863,2929,2613,2383,2955,3614,3617,2914,2899,2581,2676,2927,2859,2396,902,904,1393,1778,1930,2641,1137,1135,1139,3494,3508,3536,1145,3480,3505,3628,859,584,760,850,817,794,751,578,780,490,599,602,577,551,671,674,483,482,695,726,587,586,567,579,537,458,542,856,638,746,566,775,701,635,610,592,589,468,475,687,547,486,479,572,745,432,459,764,825,616,591,478,549,506,684,583,606,526,527,703,564,608,443,604,480,784,525,685,827,477,642,655,530,431,686,103,6])).
% 18.89/19.06 cnf(3665,plain,
% 18.89/19.06 (P9(f27(f11(x36651,x36652,f53(a51,a1))),f11(f27(x36651),f27(x36652),f53(a51,a1)),f53(a51,a1))),
% 18.89/19.06 inference(rename_variables,[],[289])).
% 18.89/19.06 cnf(3668,plain,
% 18.89/19.06 (~E(f46(f28(x36681),f41(f53(x36682,a1)),x36682),f46(f34(x36683,x36684),f41(f53(x36682,a1)),x36682))),
% 18.89/19.06 inference(scs_inference,[],[403,357,362,416,224,356,3491,289,3542,3609,320,217,409,413,410,889,3555,340,3550,230,887,3463,3483,174,216,3576,229,3567,885,3530,3556,3603,3643,231,3520,164,3477,188,233,130,197,162,404,137,307,408,167,883,394,236,159,405,131,377,2651,2946,2948,2668,3471,2816,2697,2924,2910,2986,2687,2863,2929,2613,2383,2955,3614,3617,2914,2899,2581,2676,2927,2859,2396,902,904,1393,1778,1930,2641,1137,1135,1139,3494,3508,3536,1145,3480,3505,3628,859,584,760,850,817,794,751,578,780,490,599,602,577,551,671,674,483,482,695,726,587,586,567,579,537,458,542,856,638,746,566,775,701,635,610,592,589,468,475,687,547,486,479,572,745,432,459,764,825,616,591,478,549,506,684,583,606,526,527,703,564,608,443,604,480,784,525,685,827,477,642,655,530,431,686,103,6,108,104,26])).
% 18.89/19.06 cnf(3671,plain,
% 18.89/19.06 (E(f45(f18(x36711,x36712,x36713,x36714,x36715),x36712),x36713)),
% 18.89/19.06 inference(rename_variables,[],[339])).
% 18.89/19.06 cnf(3672,plain,
% 18.89/19.06 (~P19(f11(f45(f41(f53(x36721,a1)),x36722),f41(f53(x36723,a1)),f53(x36723,a1)))),
% 18.89/19.06 inference(scs_inference,[],[403,357,362,416,224,200,257,356,3491,289,3542,3609,320,217,409,339,413,410,889,3555,340,3550,230,887,3463,3483,174,216,3576,229,3567,885,3530,3556,3603,3643,231,3520,164,3477,188,233,875,130,197,162,404,137,307,408,167,883,394,236,159,405,131,377,2651,2946,2948,2668,3471,2816,2697,2924,2910,2986,2992,2687,2863,2929,2613,2383,2955,3614,3617,2914,2899,2581,2676,2927,2859,2396,902,904,1393,1778,1930,2641,1137,1135,1139,3494,3508,3536,1145,3480,3505,3628,859,584,760,850,817,794,751,578,780,490,599,602,577,551,671,674,483,482,695,726,587,586,567,579,537,458,542,856,638,746,566,775,701,635,610,592,589,468,475,687,547,486,479,572,745,432,459,764,825,616,591,478,549,506,684,583,606,526,527,703,564,608,443,604,480,784,525,685,827,477,642,655,530,431,686,103,6,108,104,26,127,109,116])).
% 18.89/19.06 cnf(3678,plain,
% 18.89/19.06 (~E(f21(x36781,x36782,x36783),x36782)),
% 18.89/19.06 inference(rename_variables,[],[382])).
% 18.89/19.06 cnf(3686,plain,
% 18.89/19.06 (P9(x36861,f11(x36861,x36862,f53(x36863,a1)),f53(x36863,a1))),
% 18.89/19.06 inference(rename_variables,[],[230])).
% 18.89/19.06 cnf(3698,plain,
% 18.89/19.06 (~P7(f45(a33,f45(f44(x36981),x36982)),f12(x36983,f41(f53(a51,a1)),f53(a51,a1)),a51)),
% 18.89/19.06 inference(scs_inference,[],[403,357,362,416,224,200,257,356,3491,289,3542,3609,3665,320,217,409,339,413,410,889,3555,340,3550,230,3651,887,3463,3483,174,3592,216,3576,229,3567,885,3530,3556,3603,3643,231,3520,164,3477,188,233,875,382,155,130,197,162,404,137,307,3460,408,167,883,394,225,236,159,405,131,377,2651,2713,2946,2948,2668,3471,2816,2697,2924,2910,2885,2986,2992,2993,2958,2687,2863,2929,2613,2383,2955,3614,3617,2914,2899,2581,2676,2927,2859,2396,902,904,1393,1778,1930,2641,2285,1137,1135,1139,3494,3508,3536,1145,3480,3505,3628,859,584,760,850,817,794,751,578,780,490,599,602,577,551,671,674,483,482,695,726,587,586,567,579,537,458,542,856,638,746,566,775,701,635,610,592,589,468,475,687,547,486,479,572,745,432,459,764,825,616,591,478,549,506,684,583,606,526,527,703,564,608,443,604,480,784,525,685,827,477,642,655,530,431,686,103,6,108,104,26,127,109,116,9,107,3,2,105,126,824,618,704,673,657,783,630])).
% 18.89/19.06 cnf(3701,plain,
% 18.89/19.06 (P9(f12(f47(f44(x37011),x37012,a49,a52),f46(f45(a40,x37013),x37014,a52),f53(a52,a1)),x37014,f53(a52,a1))),
% 18.89/19.06 inference(scs_inference,[],[403,357,362,416,224,200,257,356,3491,289,3542,3609,3665,320,217,409,339,413,410,889,3555,340,3550,230,3651,887,3463,3483,174,3592,216,3576,229,3567,885,3530,3556,3603,3643,231,3520,3560,164,3477,188,233,875,382,155,130,197,162,404,137,307,3460,408,167,883,394,225,236,159,405,131,377,2651,2713,2946,2948,2668,3471,2816,2697,2924,2910,2885,2986,2992,2993,2958,2687,2863,2929,2613,2383,2955,3614,3617,2914,2899,2581,2676,2810,2927,2859,2396,902,904,1393,1778,1930,2641,2285,1137,1135,1139,3494,3508,3536,1145,3480,3505,3628,859,584,760,850,817,794,751,578,780,490,599,602,577,551,671,674,483,482,695,726,587,586,567,579,537,458,542,856,638,746,566,775,701,635,610,592,589,468,475,687,547,486,479,572,745,432,459,764,825,616,591,478,549,506,684,583,606,526,527,703,564,608,443,604,480,784,525,685,827,477,642,655,530,431,686,103,6,108,104,26,127,109,116,9,107,3,2,105,126,824,618,704,673,657,783,630,676])).
% 18.89/19.06 cnf(3729,plain,
% 18.89/19.06 (~P9(f46(a57,f41(f53(a51,a1)),a51),f27(f14(a25,a54)),f53(a51,a1))),
% 18.89/19.06 inference(scs_inference,[],[403,357,362,380,416,224,200,257,389,356,3491,289,3542,3609,3665,320,217,409,339,413,410,889,3555,340,3550,3634,230,3651,887,3463,3483,248,174,3592,216,3576,229,3567,885,3530,3556,3603,3643,231,3520,3560,169,151,164,3477,142,172,188,233,875,382,155,130,197,162,404,137,307,3460,408,167,883,394,225,236,159,405,131,377,2651,2713,2946,2948,2668,3471,2816,2697,2924,2910,2885,2986,2992,2993,2958,2687,2863,2929,2613,2383,2955,3614,3617,2914,2899,2581,2676,2810,2927,2859,2138,2396,902,904,1393,1778,1930,2641,2073,2285,1137,1135,1139,3494,3508,3536,1145,3480,3505,3628,859,584,760,850,817,794,751,578,780,490,599,602,577,551,671,674,483,482,695,726,587,586,567,579,537,458,542,856,638,746,566,775,701,635,610,592,589,468,475,687,547,486,479,572,745,432,459,764,825,616,591,478,549,506,684,583,606,526,527,703,564,608,443,604,480,784,525,685,827,477,642,655,530,431,686,103,6,108,104,26,127,109,116,9,107,3,2,105,126,824,618,704,673,657,783,630,676,761,569,848,715,737,735,777,620,818,545])).
% 18.89/19.06 cnf(3731,plain,
% 18.89/19.06 (~P7(f30(x37311,x37312),f35(f27(f41(f53(a51,a1)))),a51)),
% 18.89/19.06 inference(scs_inference,[],[403,357,362,380,416,224,200,257,389,356,3491,289,3542,3609,3665,320,217,409,339,413,410,889,3555,340,3550,3634,230,3651,887,3463,3483,248,174,3592,216,3576,229,3567,885,3530,3556,3603,3643,231,3520,3560,169,151,164,3477,142,172,188,233,875,382,155,130,197,162,404,137,307,3460,408,3539,167,883,394,225,236,159,405,131,377,2651,2713,2946,2948,2668,3471,2816,2697,2924,2910,2885,2986,2992,2993,2958,2687,2863,2929,2613,2383,2955,3614,3617,2914,2899,2581,2676,2810,2927,2859,2138,2396,902,904,1393,1778,1930,2641,2073,2285,1137,1135,1139,3494,3508,3536,1145,3480,3505,3628,859,584,760,850,817,794,751,578,780,490,599,602,577,551,671,674,483,482,695,726,587,586,567,579,537,458,542,856,638,746,566,775,701,635,610,592,589,468,475,687,547,486,479,572,745,432,459,764,825,616,591,478,549,506,684,583,606,526,527,703,564,608,443,604,480,784,525,685,827,477,642,655,530,431,686,103,6,108,104,26,127,109,116,9,107,3,2,105,126,824,618,704,673,657,783,630,676,761,569,848,715,737,735,777,620,818,545,595])).
% 18.89/19.06 cnf(3734,plain,
% 18.89/19.06 (~P7(f45(a33,f45(a40,a26)),f27(f14(a25,f3(a2))),a51)),
% 18.89/19.06 inference(scs_inference,[],[403,357,362,380,416,224,200,257,389,356,3491,289,3542,3609,3665,320,217,409,339,413,410,889,3555,340,3550,3634,230,3651,887,3463,3483,248,174,3592,216,3576,229,3567,885,3530,3556,3603,3643,231,3520,3560,169,151,164,3477,142,172,188,233,875,382,155,130,197,162,404,137,307,3460,408,3539,167,883,394,225,236,159,405,131,377,2651,2713,2946,2948,2668,3471,2816,2697,2924,2910,2885,2986,2992,2993,2958,2687,2863,2929,2613,2383,2955,3614,3617,2914,2899,2581,2676,2810,2927,2859,2138,2396,902,904,1393,1778,1930,2641,2073,2285,1137,1135,1139,3494,3508,3536,1145,3480,3505,3628,859,584,760,850,817,794,751,578,780,490,599,602,577,551,671,674,483,482,695,726,587,586,567,579,537,458,542,856,638,746,566,775,701,635,610,592,589,468,475,687,547,486,479,572,745,432,459,764,825,616,591,478,549,506,684,583,606,526,527,703,564,608,443,604,480,784,525,685,827,477,642,655,530,431,686,103,6,108,104,26,127,109,116,9,107,3,2,105,126,824,618,704,673,657,783,630,676,761,569,848,715,737,735,777,620,818,545,595,672])).
% 18.89/19.06 cnf(3737,plain,
% 18.89/19.06 (P7(f28(x37371),f35(x37372),a51)),
% 18.89/19.06 inference(rename_variables,[],[164])).
% 18.89/19.06 cnf(3739,plain,
% 18.89/19.06 (P7(f34(f28(x37391),f28(x37391)),f35(x37392),a51)),
% 18.89/19.06 inference(scs_inference,[],[403,357,362,380,416,224,200,257,389,356,3491,289,3542,3609,3665,320,217,409,339,413,410,889,3555,340,3550,3634,230,3651,887,3463,3483,248,174,3592,216,3576,229,3567,885,3530,3556,3603,3643,231,3520,3560,169,151,164,3477,3488,3737,142,172,188,233,875,382,155,130,197,162,404,137,307,3460,408,3539,167,883,394,225,236,159,405,131,377,2651,2713,2946,2948,2668,3471,2816,2697,2924,2910,2885,2986,2992,2993,2958,2687,2863,2929,2613,2383,2955,3614,3617,2914,2899,2581,2676,2810,2927,2859,2138,2396,902,904,1052,1393,1778,1930,2641,2073,2285,1137,1135,1139,3494,3508,3536,1145,3480,3505,3628,859,584,760,850,817,794,751,578,780,490,599,602,577,551,671,674,483,482,695,726,587,586,567,579,537,458,542,856,638,746,566,775,701,635,610,592,589,468,475,687,547,486,479,572,745,432,459,764,825,616,591,478,549,506,684,583,606,526,527,703,564,608,443,604,480,784,525,685,827,477,642,655,530,431,686,103,6,108,104,26,127,109,116,9,107,3,2,105,126,824,618,704,673,657,783,630,676,761,569,848,715,737,735,777,620,818,545,595,672,721,585])).
% 18.89/19.06 cnf(3741,plain,
% 18.89/19.06 (~P15(f45(f18(x37411,x37412,f45(f18(x37413,x37414,f53(a51,a1),x37415,x37416),x37414),x37417,x37418),x37412))),
% 18.89/19.06 inference(scs_inference,[],[403,357,362,380,416,224,200,257,389,356,3491,289,3542,3609,3665,320,217,409,339,3671,413,410,889,3555,340,3550,3634,230,3651,887,3463,3483,248,174,3592,216,3576,229,3567,885,3530,3556,3603,3643,231,3520,3560,169,151,164,3477,3488,3737,142,172,188,233,875,382,155,130,197,162,404,137,307,3460,408,3539,167,883,394,225,236,159,405,131,377,2651,2713,1875,2946,2948,2668,3471,2816,2697,2924,2910,2885,2986,2992,2993,2958,2687,2863,2929,2613,2383,2955,3614,3617,2914,2899,2581,2676,2810,2927,2859,2138,2396,902,904,1052,1393,1778,1930,2641,2073,2285,1137,1135,1139,3494,3508,3536,1145,3480,3505,3628,859,584,760,850,817,794,751,578,780,490,599,602,577,551,671,674,483,482,695,726,587,586,567,579,537,458,542,856,638,746,566,775,701,635,610,592,589,468,475,687,547,486,479,572,745,432,459,764,825,616,591,478,549,506,684,583,606,526,527,703,564,608,443,604,480,784,525,685,827,477,642,655,530,431,686,103,6,108,104,26,127,109,116,9,107,3,2,105,126,824,618,704,673,657,783,630,676,761,569,848,715,737,735,777,620,818,545,595,672,721,585,125])).
% 18.89/19.06 cnf(3760,plain,
% 18.89/19.06 (~P9(f46(a57,f41(f53(a51,a1)),a51),f14(a25,a54),f53(a51,a1))),
% 18.89/19.06 inference(scs_inference,[],[403,357,362,380,416,224,200,257,389,356,3491,289,3542,3609,3665,320,217,409,339,3671,413,410,889,3555,340,3550,3634,230,3651,3686,887,3463,3483,3661,248,174,3592,216,3576,229,3567,885,3530,3556,3603,3643,231,3520,3560,169,151,164,3477,3488,3737,142,172,188,233,875,382,155,130,197,162,404,137,307,3460,408,3539,167,883,394,149,225,236,159,405,131,377,2651,2713,1875,2946,2948,2668,3471,2816,2697,2924,2910,2885,2986,2992,2993,2958,2687,2863,2929,2812,2613,2383,2955,3614,3617,2914,2899,2581,2676,2810,2927,2859,2138,2396,902,904,1052,1393,1778,1930,2641,2073,2036,2285,1137,1135,1139,3494,3508,3536,3597,1145,3480,3505,3628,859,584,760,850,817,794,751,578,780,490,599,602,577,551,671,674,483,482,695,726,587,586,567,579,537,458,542,856,638,746,566,775,701,635,610,592,589,468,475,687,547,486,479,572,745,432,459,764,825,616,591,478,549,506,684,583,606,526,527,703,564,608,443,604,480,784,525,685,827,477,642,655,530,431,686,103,6,108,104,26,127,109,116,9,107,3,2,105,126,824,618,704,673,657,783,630,676,761,569,848,715,737,735,777,620,818,545,595,672,721,585,125,576,722,736,802,782,667,476,539])).
% 18.89/19.06 cnf(3765,plain,
% 18.89/19.06 (P7(f45(a33,f45(a40,a25)),f23(f14(a25,f21(f15(x37651,x37652),f21(f16(x37653,x37654,x37655),a54,a2),a2))),a51)),
% 18.89/19.06 inference(scs_inference,[],[403,357,362,380,416,224,200,257,389,356,3491,289,3542,3609,3665,320,217,409,339,3671,413,410,889,3555,340,3550,3634,230,3651,3686,887,3463,3483,3661,248,174,3592,216,3576,229,3567,885,3530,3556,3603,3643,231,3520,3560,169,151,164,3477,3488,3737,142,172,188,233,875,382,3678,155,130,197,162,404,137,307,3460,408,3539,167,883,394,149,225,236,159,405,131,377,2651,2713,1875,2946,2948,2668,3471,2816,2697,2924,2910,2885,2986,2992,2993,2958,2687,2863,2929,2812,2613,2383,2955,3614,3617,2914,2899,2581,2676,2810,2927,2859,2138,2109,2396,902,904,1052,1393,1778,1930,2641,2073,2036,2285,1137,1135,1139,3494,3508,3536,3597,1145,3480,3505,3628,859,584,760,850,817,794,751,578,780,490,599,602,577,551,671,674,483,482,695,726,587,586,567,579,537,458,542,856,638,746,566,775,701,635,610,592,589,468,475,687,547,486,479,572,745,432,459,764,825,616,591,478,549,506,684,583,606,526,527,703,564,608,443,604,480,784,525,685,827,477,642,655,530,431,686,103,6,108,104,26,127,109,116,9,107,3,2,105,126,824,618,704,673,657,783,630,676,761,569,848,715,737,735,777,620,818,545,595,672,721,585,125,576,722,736,802,782,667,476,539,863,767])).
% 18.89/19.06 cnf(3779,plain,
% 18.89/19.06 (~P7(f30(x37791,x37792),f14(x37793,f3(a2)),a51)),
% 18.89/19.06 inference(rename_variables,[],[2188])).
% 18.89/19.06 cnf(3783,plain,
% 18.89/19.06 (~P7(f16(a26,x37831,f30(x37832,f34(x37833,f34(f28(x37834),f34(f45(a33,x37835),f28(x37836)))))),f24(f21(f16(a25,x37837,f28(x37838)),f3(a2),a2),a2),a2)),
% 18.89/19.06 inference(scs_inference,[],[358,144,3476,1037,2188,653,463,850])).
% 18.89/19.06 cnf(3796,plain,
% 18.89/19.06 (P9(x37961,f11(x37961,x37962,f53(x37963,a1)),f53(x37963,a1))),
% 18.89/19.06 inference(rename_variables,[],[230])).
% 18.89/19.06 cnf(3808,plain,
% 18.89/19.06 (P7(x38081,f46(x38081,x38082,x38083),x38084)),
% 18.89/19.06 inference(rename_variables,[],[887])).
% 18.89/19.06 cnf(3812,plain,
% 18.89/19.06 (~E(f46(x38121,f46(f31(x38122),f41(f53(x38123,a1)),x38123),x38123),f46(f34(x38124,x38125),f46(f34(x38124,x38125),f41(f53(x38123,a1)),x38123),x38123))),
% 18.89/19.06 inference(scs_inference,[],[359,900,358,375,195,230,887,307,144,2334,3476,2425,1037,2681,2188,2391,2609,1393,1117,2036,653,463,850,785,734,704,461,588,446,859,584,761,760])).
% 18.89/19.06 cnf(3815,plain,
% 18.89/19.06 (~E(f45(a33,x38151),f34(x38152,x38153))),
% 18.89/19.06 inference(rename_variables,[],[371])).
% 18.89/19.06 cnf(3823,plain,
% 18.89/19.06 (P9(f23(f11(f27(f11(x38231,x38232,f53(a51,a1))),f27(f11(x38231,x38232,f53(a51,a1))),f53(a51,a1))),f23(f11(f11(f27(x38231),f27(x38232),f53(a51,a1)),f11(f27(x38231),f27(x38232),f53(a51,a1)),f53(a51,a1))),f53(a51,a1))),
% 18.89/19.06 inference(scs_inference,[],[359,900,358,388,371,375,195,230,887,307,144,3525,2334,3476,2425,1037,2681,2188,2113,2391,2609,2428,1393,1117,2036,653,463,850,785,734,704,461,588,446,859,584,761,760,712,715,813,777])).
% 18.89/19.06 cnf(3827,plain,
% 18.89/19.06 (E(f23(f46(f30(a55,a57),f13(a54),a51)),f23(f13(a54)))),
% 18.89/19.06 inference(scs_inference,[],[359,900,358,388,371,375,195,230,887,307,159,162,144,3525,2334,3476,2425,1037,2681,2188,2113,2391,1113,2609,2428,1393,1117,2036,653,463,850,785,734,704,461,588,446,859,584,761,760,712,715,813,777,640,618])).
% 18.89/19.06 cnf(3828,plain,
% 18.89/19.06 (P9(f27(f14(a25,x38281)),f13(x38281),f53(a51,a1))),
% 18.89/19.06 inference(rename_variables,[],[195])).
% 18.89/19.06 cnf(3832,plain,
% 18.89/19.06 (P19(f45(f12(f43(f53(x38321,a1)),f43(f53(x38321,a1)),f53(x38322,a1)),x38323))),
% 18.89/19.06 inference(scs_inference,[],[359,900,358,388,371,375,195,230,887,248,151,197,307,159,162,144,3525,2334,3476,2425,1037,2681,2188,2113,2391,1113,2609,2428,1393,1117,2036,653,463,850,785,734,704,461,588,446,859,584,761,760,712,715,813,777,640,618,620,677])).
% 18.89/19.06 cnf(3835,plain,
% 18.89/19.06 (~P7(x38351,f41(f53(x38352,a1)),x38353)),
% 18.89/19.06 inference(rename_variables,[],[885])).
% 18.89/19.06 cnf(3856,plain,
% 18.89/19.06 (P7(x38561,f46(x38561,x38562,x38563),x38564)),
% 18.89/19.06 inference(rename_variables,[],[887])).
% 18.89/19.06 cnf(3858,plain,
% 18.89/19.06 (~P7(x38581,f48(a33,f46(f34(x38582,x38583),f41(f53(x38584,a1)),x38584),x38585,x38584),x38585)),
% 18.89/19.06 inference(scs_inference,[],[403,359,900,358,388,371,3815,375,198,195,3828,877,230,887,3808,248,885,151,142,197,307,159,405,162,144,3525,2700,3512,2334,3476,2425,1037,2681,2188,2113,2391,1113,2609,2428,1393,1117,2036,653,463,850,785,734,704,461,588,446,859,584,761,760,712,715,813,777,640,618,620,677,647,725,657,678,676,630,569,737,736,735,802,807])).
% 18.89/19.06 cnf(3861,plain,
% 18.89/19.06 (P6(x38611,f41(f53(x38612,a1)),x38612,x38613)),
% 18.89/19.06 inference(rename_variables,[],[242])).
% 18.89/19.06 cnf(3862,plain,
% 18.89/19.06 (P9(f12(x38621,x38622,f53(x38623,a1)),x38621,f53(x38623,a1))),
% 18.89/19.06 inference(rename_variables,[],[232])).
% 18.89/19.06 cnf(3869,plain,
% 18.89/19.06 (P7(f34(f30(f45(f44(x38691),x38692),f28(x38693)),f30(f45(f44(x38691),x38692),f28(x38693))),f35(f14(x38694,f3(a2))),a51)),
% 18.89/19.06 inference(scs_inference,[],[403,359,900,358,388,371,3815,375,198,195,3828,877,230,292,887,3808,232,248,885,151,142,197,407,307,159,242,405,162,144,3525,2700,3512,3487,2334,3734,3476,2425,1037,2681,2188,2113,2391,1113,2609,2428,1393,1117,2036,653,463,850,785,734,704,461,588,446,859,584,761,760,712,715,813,777,640,618,620,677,647,725,657,678,676,630,569,737,736,735,802,807,818,545,595,585])).
% 18.89/19.06 cnf(3872,plain,
% 18.89/19.06 (P9(f41(f53(x38721,a1)),x38722,f53(x38721,a1))),
% 18.89/19.06 inference(rename_variables,[],[189])).
% 18.89/19.06 cnf(3877,plain,
% 18.89/19.06 (E(f45(f5(x38771,x38772,x38773),x38774),x38771)),
% 18.89/19.06 inference(rename_variables,[],[182])).
% 18.89/19.06 cnf(3878,plain,
% 18.89/19.06 (~P14(f45(f5(f45(f5(f53(x38781,a1),x38782,x38783),x38784),x38785,x38786),x38787))),
% 18.89/19.06 inference(scs_inference,[],[403,359,900,358,388,371,3815,375,198,182,3877,195,3828,877,230,292,887,3808,232,248,885,189,151,142,197,407,307,159,242,405,162,144,3525,3741,2008,2700,3760,3512,3487,2334,3734,3476,2425,1037,2681,2188,2113,2391,1113,2609,2428,1393,1117,2036,653,463,850,785,734,704,461,588,446,859,584,761,760,712,715,813,777,640,618,620,677,647,725,657,678,676,630,569,737,736,735,802,807,818,545,595,585,667,476,125,124])).
% 18.89/19.06 cnf(3879,plain,
% 18.89/19.06 (P5(f21(f16(a25,x38791,f28(x38792)),f12(f3(a2),f3(a2),f53(x38793,a1)),a2))),
% 18.89/19.06 inference(scs_inference,[],[403,359,900,358,388,371,3815,375,198,182,3877,195,3828,877,230,292,887,3808,232,248,885,189,151,164,142,197,407,307,159,242,405,162,144,3525,3741,2008,2700,3760,3512,2328,3487,2334,3734,3476,2425,1037,2681,2188,2113,2391,1113,2609,2428,1393,1117,2036,653,463,850,785,734,704,461,588,446,859,584,761,760,712,715,813,777,640,618,620,677,647,725,657,678,676,630,569,737,736,735,802,807,818,545,595,585,667,476,125,124,722])).
% 18.89/19.06 cnf(3882,plain,
% 18.89/19.06 (P9(x38821,f11(x38821,x38822,f53(x38823,a1)),f53(x38823,a1))),
% 18.89/19.06 inference(rename_variables,[],[230])).
% 18.89/19.06 cnf(3890,plain,
% 18.89/19.06 (P9(f12(x38901,x38902,f53(x38903,a1)),x38901,f53(x38903,a1))),
% 18.89/19.06 inference(rename_variables,[],[232])).
% 18.89/19.06 cnf(3896,plain,
% 18.89/19.06 (~P7(f34(f30(x38961,x38962),x38963),f35(f27(f41(f53(a51,a1)))),a51)),
% 18.89/19.06 inference(scs_inference,[],[403,359,900,358,388,371,3815,375,198,182,3877,195,3828,877,230,3796,292,887,3808,232,3862,248,885,189,151,164,142,197,407,307,159,242,405,162,144,3525,3741,2008,3668,2700,3662,2678,3760,3512,2328,3487,3602,3731,2334,3734,3476,2425,1037,2681,2188,2113,2391,1113,2609,2348,2428,1393,1117,2036,1135,653,463,850,785,734,704,461,588,446,859,584,761,760,712,715,813,777,640,618,620,677,647,725,657,678,676,630,569,737,736,735,802,807,818,545,595,585,667,476,125,124,722,753,726,567,674,483,587])).
% 18.89/19.06 cnf(3897,plain,
% 18.89/19.06 (~P7(x38971,f27(f41(f53(x38972,a1))),a51)),
% 18.89/19.06 inference(rename_variables,[],[3602])).
% 18.89/19.06 cnf(3910,plain,
% 18.89/19.06 (~P7(f45(a33,a56),f27(f11(f14(a25,a54),f14(a25,a54),f53(a51,a1))),a51)),
% 18.89/19.06 inference(scs_inference,[],[403,359,900,358,388,371,3815,375,198,182,3877,195,3828,877,230,3796,292,887,3808,232,3862,248,885,189,151,164,142,130,197,407,307,159,242,405,162,144,3525,3741,2008,3668,2700,3662,3569,2678,3760,3512,2328,3487,3602,3897,3731,2334,3734,3476,3004,2425,1037,2681,2188,2113,2391,1113,2609,2348,2428,1393,1117,2036,1135,653,463,850,785,734,704,461,588,446,859,584,761,760,712,715,813,777,640,618,620,677,647,725,657,678,676,630,569,737,736,735,802,807,818,545,595,585,667,476,125,124,722,753,726,567,674,483,587,586,458,539,481,537,746])).
% 18.89/19.06 cnf(3918,plain,
% 18.89/19.06 (~P7(f45(a33,a56),f23(f46(f28(x39181),f23(f46(f28(x39182),f23(f23(f14(a25,a54))),a51)),a51)),a51)),
% 18.89/19.06 inference(scs_inference,[],[403,359,900,358,388,371,3815,375,198,182,3877,195,3828,877,230,3796,264,292,887,3808,232,3862,248,885,189,151,164,142,130,197,407,307,137,159,242,131,405,162,144,3525,3741,2008,3668,2700,3662,3569,2678,3760,3512,2328,3487,3602,3897,3731,2334,3734,2626,3476,3004,2425,1037,2681,2188,2113,2391,2145,1113,2609,2348,2428,1393,1117,2036,1135,653,463,850,785,734,704,461,588,446,859,584,761,760,712,715,813,777,640,618,620,677,647,725,657,678,676,630,569,737,736,735,802,807,818,545,595,585,667,476,125,124,722,753,726,567,674,483,587,586,458,539,481,537,746,750,635,638,589])).
% 18.89/19.06 cnf(3921,plain,
% 18.89/19.06 (~P7(f30(f45(a40,a25),f45(a33,a56)),f14(a25,a54),a51)),
% 18.89/19.06 inference(scs_inference,[],[403,359,900,358,388,371,3815,375,198,182,3877,195,3828,877,230,3796,264,292,887,3808,232,3862,248,885,189,151,164,142,130,197,407,307,137,159,242,131,405,162,144,3525,3741,3510,2008,3668,2700,3662,3569,2678,3760,3512,2328,3487,3602,3897,3731,2334,3734,2626,3476,3004,2425,1037,2681,2188,2113,2391,2145,1113,2609,2348,2428,1393,1117,2036,1135,653,463,850,785,734,704,461,588,446,859,584,761,760,712,715,813,777,640,618,620,677,647,725,657,678,676,630,569,737,736,735,802,807,818,545,595,585,667,476,125,124,722,753,726,567,674,483,587,586,458,539,481,537,746,750,635,638,589,475])).
% 18.89/19.06 cnf(3929,plain,
% 18.89/19.06 (~P9(f11(f14(a25,a54),x39291,f53(a51,a1)),f12(f12(x39292,f12(f12(f45(f18(x39293,x39294,f27(f41(f53(a51,a1))),x39295,x39296),x39294),x39297,f53(a51,a1)),x39298,f53(a51,a1)),f53(a51,a1)),x39299,f53(a51,a1)),f53(a51,a1))),
% 18.89/19.06 inference(scs_inference,[],[403,359,900,358,388,371,3815,375,198,182,3877,195,3828,877,230,3796,264,292,887,3808,232,3862,3890,248,885,189,151,164,142,130,197,407,307,137,159,242,131,405,162,144,3525,3741,3519,3510,2008,3668,2700,3662,3569,2678,3760,3512,2328,3487,3602,3897,3731,2334,3734,2626,3564,3476,3004,2425,1037,2681,2188,2113,2391,2145,1113,2609,2348,2428,1393,1117,2036,1137,1135,653,463,850,785,734,704,461,588,446,859,584,761,760,712,715,813,777,640,618,620,677,647,725,657,678,676,630,569,737,736,735,802,807,818,545,595,585,667,476,125,124,722,753,726,567,674,483,587,586,458,539,481,537,746,750,635,638,589,475,486,547,687,566])).
% 18.89/19.06 cnf(3930,plain,
% 18.89/19.06 (P9(f12(x39301,x39302,f53(x39303,a1)),x39301,f53(x39303,a1))),
% 18.89/19.06 inference(rename_variables,[],[232])).
% 18.89/19.06 cnf(3931,plain,
% 18.89/19.06 (P12(f53(x39311,a1))),
% 18.89/19.06 inference(rename_variables,[],[1137])).
% 18.89/19.06 cnf(3934,plain,
% 18.89/19.06 (P9(f12(x39341,x39342,f53(x39343,a1)),x39341,f53(x39343,a1))),
% 18.89/19.06 inference(rename_variables,[],[232])).
% 18.89/19.06 cnf(3935,plain,
% 18.89/19.06 (P9(f41(f53(x39351,a1)),x39352,f53(x39351,a1))),
% 18.89/19.06 inference(rename_variables,[],[189])).
% 18.89/19.06 cnf(3938,plain,
% 18.89/19.06 (~P9(f11(f11(f14(a25,a54),x39381,f53(a51,a1)),x39382,f53(a51,a1)),f12(f45(f18(x39383,x39384,f27(f41(f53(a51,a1))),x39385,x39386),x39384),x39387,f53(a51,a1)),f53(a51,a1))),
% 18.89/19.06 inference(rename_variables,[],[2902])).
% 18.89/19.06 cnf(3939,plain,
% 18.89/19.06 (P9(x39391,f11(x39391,x39392,f53(x39393,a1)),f53(x39393,a1))),
% 18.89/19.06 inference(rename_variables,[],[230])).
% 18.89/19.06 cnf(3941,plain,
% 18.89/19.06 (P7(f45(x39411,f45(a33,f45(a40,x39412))),f47(x39411,f14(x39412,x39413),a51,x39414),x39414)),
% 18.89/19.06 inference(scs_inference,[],[403,359,900,358,388,371,3815,375,198,182,3877,195,3828,877,230,3796,3882,264,292,887,3808,232,3862,3890,3930,248,885,189,3872,151,164,142,130,197,407,307,137,159,242,131,405,162,144,3525,3741,3519,2902,3510,2008,3668,2700,3662,3569,2678,3760,3512,2328,3487,3602,3897,3731,2334,3734,2626,3564,3476,3004,2425,1037,2681,2188,2113,2391,2145,1113,2609,2348,2428,1393,1117,2036,1137,1135,653,463,850,785,734,704,461,588,446,859,584,761,760,712,715,813,777,640,618,620,677,647,725,657,678,676,630,569,737,736,735,802,807,818,545,595,585,667,476,125,124,722,753,726,567,674,483,587,586,458,539,481,537,746,750,635,638,589,475,486,547,687,566,572,701,745])).
% 18.89/19.06 cnf(3944,plain,
% 18.89/19.06 (~P6(f17(f20(f43(f53(f46(x39441,f46(x39442,x39443,x39444),x39444),a1)),a40,f46(x39441,f46(x39442,x39443,x39444),x39444),x39445),f41(f53(x39446,a1)),f53(x39446,a1)),f11(f46(f45(a40,f45(f20(f43(f53(f46(x39441,f46(x39442,x39443,x39444),x39444),a1)),a40,f46(x39441,f46(x39442,x39443,x39444),x39444),x39445),f45(f44(x39447),f30(a55,a57)))),x39448,x39445),f47(f44(x39447),f27(f14(a25,a54)),a51,x39445),f53(x39445,a1)),x39445,f46(x39441,f46(x39442,x39443,x39444),x39444))),
% 18.89/19.06 inference(scs_inference,[],[403,359,900,249,358,388,371,3815,375,198,182,3877,192,195,3828,877,230,3796,3882,264,292,887,3808,232,3862,3890,3930,248,885,189,3872,151,164,142,130,197,407,307,137,159,242,131,405,162,144,3525,3741,3519,2902,3510,2008,3668,2700,3662,3569,2678,3760,3512,2328,3487,3602,3897,3731,2334,3734,2626,3564,3476,3004,2425,1037,2681,2188,2113,2391,2145,1113,2609,2348,2428,1393,1117,2036,1137,1135,653,463,850,785,734,704,461,588,446,859,584,761,760,712,715,813,777,640,618,620,677,647,725,657,678,676,630,569,737,736,735,802,807,818,545,595,585,667,476,125,124,722,753,726,567,674,483,587,586,458,539,481,537,746,750,635,638,589,475,486,547,687,566,572,701,745,115,112])).
% 18.89/19.06 cnf(3945,plain,
% 18.89/19.06 (~P9(f11(f11(f14(a25,a54),x39451,f53(a51,a1)),x39452,f53(a51,a1)),f12(x39453,f12(x39454,f12(f45(f18(x39455,x39456,f27(f41(f53(a51,a1))),x39457,x39458),x39456),x39459,f53(a51,a1)),f53(a51,a1)),f53(a51,a1)),f53(a51,a1))),
% 18.89/19.06 inference(scs_inference,[],[403,359,900,249,358,388,371,3815,375,198,182,3877,192,195,3828,877,230,3796,3882,264,292,887,3808,232,3862,3890,3930,248,885,189,3872,151,164,142,130,197,407,307,137,159,242,131,405,162,144,3525,3741,3519,3627,2902,3510,2008,3668,2700,3662,3569,2678,3760,3512,2328,3487,3602,3897,3731,2334,3734,2626,3564,3476,3004,2425,1037,2681,2188,2113,2391,2145,1113,2609,2348,2428,1393,1117,2036,1137,1135,1139,653,463,850,785,734,704,461,588,446,859,584,761,760,712,715,813,777,640,618,620,677,647,725,657,678,676,630,569,737,736,735,802,807,818,545,595,585,667,476,125,124,722,753,726,567,674,483,587,586,458,539,481,537,746,750,635,638,589,475,486,547,687,566,572,701,745,115,112,610])).
% 18.89/19.06 cnf(3946,plain,
% 18.89/19.06 (P11(f53(x39461,a1))),
% 18.89/19.06 inference(rename_variables,[],[1139])).
% 18.89/19.06 cnf(3950,plain,
% 18.89/19.06 (~P9(f27(f11(f27(f14(a25,a54)),f27(x39501),f53(a51,a1))),f27(f41(f53(a51,a1))),f53(a51,a1))),
% 18.89/19.06 inference(scs_inference,[],[403,359,900,249,358,388,371,3815,375,198,182,3877,192,195,3828,877,230,3796,3882,264,292,887,3808,232,3862,3890,3930,248,885,189,3872,151,164,142,130,197,407,307,137,159,242,131,405,162,144,3525,3741,3519,3627,2902,3510,2008,3668,2700,3541,3662,3569,2678,3760,3512,2328,3487,3602,3897,3731,2334,3734,2626,3564,3476,3004,2425,1037,2681,2188,2113,2391,2145,1113,2609,2348,2428,1393,1117,2036,1137,1135,1139,653,463,850,785,734,704,461,588,446,859,584,761,760,712,715,813,777,640,618,620,677,647,725,657,678,676,630,569,737,736,735,802,807,818,545,595,585,667,476,125,124,722,753,726,567,674,483,587,586,458,539,481,537,746,750,635,638,589,475,486,547,687,566,572,701,745,115,112,610,468,549])).
% 18.89/19.06 cnf(3952,plain,
% 18.89/19.06 (~P9(f11(f14(a25,a54),x39521,f53(a51,a1)),f12(f12(x39522,f12(x39523,f12(f45(f18(x39524,x39525,f27(f41(f53(a51,a1))),x39526,x39527),x39525),x39528,f53(a51,a1)),f53(a51,a1)),f53(a51,a1)),x39529,f53(a51,a1)),f53(a51,a1))),
% 18.89/19.06 inference(scs_inference,[],[403,359,900,249,358,388,371,3815,375,198,182,3877,192,195,3828,877,230,3796,3882,264,292,887,3808,232,3862,3890,3930,248,885,189,3872,151,164,142,130,197,407,307,137,159,242,131,405,162,144,3525,3741,3519,3627,2902,3510,2008,3668,2700,3541,3662,3569,2678,3760,3512,2328,3487,3602,3897,3731,2334,3734,2626,3564,3476,3004,2425,1037,2681,2188,2113,2391,2145,1113,2609,2348,2428,1393,1117,2036,1137,1135,1139,1145,653,463,850,785,734,704,461,588,446,859,584,761,760,712,715,813,777,640,618,620,677,647,725,657,678,676,630,569,737,736,735,802,807,818,545,595,585,667,476,125,124,722,753,726,567,674,483,587,586,458,539,481,537,746,750,635,638,589,475,486,547,687,566,572,701,745,115,112,610,468,549,606])).
% 18.89/19.06 cnf(3953,plain,
% 18.89/19.06 (P1(f53(x39531,a1))),
% 18.89/19.06 inference(rename_variables,[],[1145])).
% 18.89/19.06 cnf(3962,plain,
% 18.89/19.06 (P9(f17(f12(f12(x39621,x39622,f53(x39623,a1)),x39624,f53(x39623,a1)),x39625,f53(x39623,a1)),x39621,f53(x39623,a1))),
% 18.89/19.06 inference(rename_variables,[],[3639])).
% 18.89/19.06 cnf(3965,plain,
% 18.89/19.06 (E(f45(x39651,f45(f20(f27(f46(a57,f41(f53(a51,a1)),a51)),x39651,a51,x39652),f45(x39651,f45(a33,a56)))),f45(x39651,f45(a33,a56)))),
% 18.89/19.06 inference(rename_variables,[],[2895])).
% 18.89/19.06 cnf(3968,plain,
% 18.89/19.06 (P7(x39681,f27(f11(x39682,f46(f34(f30(x39683,f34(f30(x39684,x39681),x39685)),x39686),x39687,a51),f53(a51,a1))),a51)),
% 18.89/19.06 inference(rename_variables,[],[3585])).
% 18.89/19.06 cnf(3970,plain,
% 18.89/19.06 (E(f45(x39701,f45(f20(a42,x39701,f50(a2),x39702),f45(x39701,a54))),f45(x39701,a54))),
% 18.89/19.06 inference(scs_inference,[],[403,359,900,249,358,388,371,3815,375,198,182,3877,192,195,3828,877,230,3796,3882,264,292,887,3808,232,3862,3890,3930,248,885,189,3872,151,164,142,130,197,407,307,137,159,242,131,405,162,144,3525,3741,3519,3627,2902,3510,2008,3639,3668,2700,3541,3662,3569,2678,3760,3512,2328,3585,3487,3602,3897,3731,3613,2334,3734,2626,3564,3476,3004,2895,2425,1037,2681,2188,2113,2391,2145,1113,2609,2348,2428,1361,1393,1117,2036,1137,1135,1139,1145,653,463,850,785,734,704,461,588,446,859,584,761,760,712,715,813,777,640,618,620,677,647,725,657,678,676,630,569,737,736,735,802,807,818,545,595,585,667,476,125,124,722,753,726,567,674,483,587,586,458,539,481,537,746,750,635,638,589,475,486,547,687,566,572,701,745,115,112,610,468,549,606,478,526,527,564,432,764,825])).
% 18.89/19.06 cnf(3974,plain,
% 18.89/19.06 (P9(f17(f12(f12(f12(x39741,x39742,f53(x39743,a1)),x39744,f53(x39743,a1)),x39745,f53(x39743,a1)),x39746,f53(x39743,a1)),x39742,f53(x39743,a1))),
% 18.89/19.06 inference(scs_inference,[],[403,359,900,249,358,388,371,3815,375,198,182,3877,192,195,3828,877,230,3796,3882,264,292,887,3808,232,3862,3890,3930,248,885,189,3872,151,164,142,130,197,407,307,137,159,242,131,405,162,144,3525,3741,3519,3627,2902,3510,2008,3639,3962,3668,2700,3541,3662,3569,2678,3760,3512,2328,3585,3487,3602,3897,3731,3613,2334,3734,2626,3564,3476,3004,2895,2425,1037,2681,2188,2113,2391,2145,1113,2609,2348,2428,1361,1393,1117,2036,1137,1135,1139,1145,3953,653,463,850,785,734,704,461,588,446,859,584,761,760,712,715,813,777,640,618,620,677,647,725,657,678,676,630,569,737,736,735,802,807,818,545,595,585,667,476,125,124,722,753,726,567,674,483,587,586,458,539,481,537,746,750,635,638,589,475,486,547,687,566,572,701,745,115,112,610,468,549,606,478,526,527,564,432,764,825,459,604])).
% 18.89/19.06 cnf(3981,plain,
% 18.89/19.06 (P9(f12(x39811,x39812,f53(x39813,a1)),x39811,f53(x39813,a1))),
% 18.89/19.06 inference(rename_variables,[],[232])).
% 18.89/19.06 cnf(3986,plain,
% 18.89/19.06 (P7(x39861,f46(x39861,x39862,x39863),x39864)),
% 18.89/19.06 inference(rename_variables,[],[887])).
% 18.89/19.06 cnf(3990,plain,
% 18.89/19.06 (~P9(f46(f45(a33,a56),x39901,x39902),f27(f14(a25,a54)),f53(a51,a1))),
% 18.89/19.06 inference(scs_inference,[],[403,359,900,249,358,388,371,3815,375,198,182,3877,192,195,3828,877,230,3796,3882,3939,264,292,887,3808,3856,3986,232,3862,3890,3930,3934,248,885,189,3872,151,164,142,130,197,407,307,137,159,242,131,405,162,144,3525,3741,3519,3627,2902,3938,3510,2008,3639,3962,3668,2700,3541,3662,3569,2678,3760,3512,2328,3585,3968,3487,3602,3897,3731,3613,2334,3734,2626,3564,3476,3004,2895,2425,1037,2681,2188,2113,2391,2145,1113,2609,2348,2428,1361,1393,1117,2036,1137,1135,1139,1145,3953,653,463,850,785,734,704,461,588,446,859,584,761,760,712,715,813,777,640,618,620,677,647,725,657,678,676,630,569,737,736,735,802,807,818,545,595,585,667,476,125,124,722,753,726,567,674,483,587,586,458,539,481,537,746,750,635,638,589,475,486,547,687,566,572,701,745,115,112,610,468,549,606,478,526,527,564,432,764,825,459,604,616,591,506,784,827,583])).
% 18.89/19.06 cnf(3995,plain,
% 18.89/19.06 (~P9(f11(f14(a25,a54),x39951,f53(a51,a1)),f12(x39952,f12(x39953,f12(f12(f45(f18(x39954,x39955,f27(f41(f53(a51,a1))),x39956,x39957),x39955),x39958,f53(a51,a1)),x39959,f53(a51,a1)),f53(a51,a1)),f53(a51,a1)),f53(a51,a1))),
% 18.89/19.06 inference(scs_inference,[],[403,359,900,249,358,388,371,3815,375,198,182,3877,192,195,3828,877,230,3796,3882,3939,264,292,887,3808,3856,3986,232,3862,3890,3930,3934,248,885,189,3872,151,164,142,130,197,407,307,137,159,242,131,405,162,144,3525,3741,3519,3627,2902,3938,3510,2008,3639,3962,3668,2700,3541,3662,3569,2678,3760,3512,2328,3585,3968,3487,3602,3897,3731,3613,2334,3734,2626,3564,3476,3004,2895,2425,1037,2681,2188,2113,2391,2145,1113,2609,2348,2428,1361,1393,1117,2036,1137,1135,1139,1145,3953,653,463,850,785,734,704,461,588,446,859,584,761,760,712,715,813,777,640,618,620,677,647,725,657,678,676,630,569,737,736,735,802,807,818,545,595,585,667,476,125,124,722,753,726,567,674,483,587,586,458,539,481,537,746,750,635,638,589,475,486,547,687,566,572,701,745,115,112,610,468,549,606,478,526,527,564,432,764,825,459,604,616,591,506,784,827,583,642,684])).
% 18.89/19.06 cnf(4003,plain,
% 18.89/19.06 (~P6(f20(f43(f53(x40031,a1)),a33,x40031,x40032),f43(f53(f46(x40033,f46(x40034,x40035,x40036),x40036),a1)),f46(x40034,f46(x40033,x40035,x40036),x40036),x40037)),
% 18.89/19.06 inference(scs_inference,[],[403,359,900,249,358,388,371,3815,375,198,187,182,3877,192,195,3828,877,230,3796,3882,3939,264,292,887,3808,3856,3986,232,3862,3890,3930,3934,248,885,189,3872,151,164,142,130,197,407,307,137,159,242,131,405,162,144,3525,3741,3519,3627,2902,3938,3510,2008,3639,3962,3668,2700,3541,3662,3569,2678,3760,3512,2328,3585,3968,3487,3602,3897,3731,3613,2334,3734,2626,3564,3476,3004,2895,2425,1037,2681,2188,2113,2391,2145,1113,2609,2348,2428,1361,1393,1117,2036,1137,1135,1139,1145,3953,653,463,850,785,734,704,461,588,446,859,584,761,760,712,715,813,777,640,618,620,677,647,725,657,678,676,630,569,737,736,735,802,807,818,545,595,585,667,476,125,124,722,753,726,567,674,483,587,586,458,539,481,537,746,750,635,638,589,475,486,547,687,566,572,701,745,115,112,610,468,549,606,478,526,527,564,432,764,825,459,604,616,591,506,784,827,583,642,684,477,685,703,114])).
% 18.89/19.06 cnf(4009,plain,
% 18.89/19.06 (~P19(f45(f12(f41(f53(x40091,a1)),x40092,f53(x40093,a1)),x40094))),
% 18.89/19.06 inference(scs_inference,[],[403,359,900,249,358,388,371,3815,375,198,187,182,3877,192,195,3828,877,230,3796,3882,3939,264,292,887,3808,3856,3986,232,3862,3890,3930,3934,3981,248,885,189,3872,151,164,142,130,197,407,307,137,159,242,131,405,162,144,3525,3741,3519,3627,2902,3938,3510,2008,3639,3962,3668,2700,3541,3662,3569,2678,3760,3512,2328,3585,3968,3487,3602,3897,3731,3613,2334,3734,2626,3564,3476,3004,2895,2425,1037,2681,2188,2113,2391,2145,1113,2609,2348,2428,1361,1393,1117,2036,1137,1135,1139,3946,1145,3953,653,463,850,785,734,704,461,588,446,859,584,761,760,712,715,813,777,640,618,620,677,647,725,657,678,676,630,569,737,736,735,802,807,818,545,595,585,667,476,125,124,722,753,726,567,674,483,587,586,458,539,481,537,746,750,635,638,589,475,486,547,687,566,572,701,745,115,112,610,468,549,606,478,526,527,564,432,764,825,459,604,616,591,506,784,827,583,642,684,477,685,703,114,655,608,530])).
% 18.89/19.06 cnf(4012,plain,
% 18.89/19.06 (E(f45(x40121,f45(f20(f27(f46(a57,f41(f53(a51,a1)),a51)),x40121,a51,x40122),f45(x40121,f45(a33,a56)))),f45(x40121,f45(a33,a56)))),
% 18.89/19.06 inference(rename_variables,[],[2895])).
% 18.89/19.06 cnf(4026,plain,
% 18.89/19.06 (~P9(f21(x40261,f41(f53(x40262,a1)),x40263),f41(f53(x40262,a1)),f53(x40262,a1))),
% 18.89/19.06 inference(rename_variables,[],[897])).
% 18.89/19.06 cnf(4028,plain,
% 18.89/19.06 (P8(f46(x40281,f46(x40282,x40283,x40284),x40284),f46(x40282,f46(x40281,x40283,x40284),x40284),x40285)),
% 18.89/19.06 inference(scs_inference,[],[403,359,900,249,179,358,388,371,3815,375,198,187,182,3877,192,897,195,3828,877,230,3796,3882,3939,264,292,887,3808,3856,3986,232,3862,3890,3930,3934,3981,248,885,189,3872,151,164,142,160,130,197,407,307,137,159,242,3861,131,405,162,144,3525,3741,3519,3627,2902,3938,3510,2008,3639,3962,3668,2700,3541,3662,3569,2678,3760,3512,2328,3585,3968,3487,3602,3897,3731,3613,2334,3734,2626,3564,3476,3004,2895,3965,4012,2425,1037,2681,2188,2113,2391,2145,1113,2609,2348,2428,1361,1393,1117,2036,1137,1135,1139,3946,1145,3953,653,463,850,785,734,704,461,588,446,859,584,761,760,712,715,813,777,640,618,620,677,647,725,657,678,676,630,569,737,736,735,802,807,818,545,595,585,667,476,125,124,722,753,726,567,674,483,587,586,458,539,481,537,746,750,635,638,589,475,486,547,687,566,572,701,745,115,112,610,468,549,606,478,526,527,564,432,764,825,459,604,616,591,506,784,827,583,642,684,477,685,703,114,655,608,530,443,525,686,113,431,103,26,108,6,127])).
% 18.89/19.06 cnf(4032,plain,
% 18.89/19.06 (~E(f45(f48(x40321,f43(f53(x40322,a1)),x40323,x40324),x40325),f45(f41(f53(x40326,a1)),x40327))),
% 18.89/19.06 inference(scs_inference,[],[403,359,900,249,179,358,388,371,3815,375,154,198,187,182,3877,192,897,195,3828,877,230,3796,3882,3939,264,292,887,3808,3856,3986,232,3862,3890,3930,3934,3981,248,885,189,3872,151,164,142,160,130,197,407,307,137,159,242,3861,131,405,162,144,3525,3741,3519,3627,2902,3938,3473,3510,2008,3639,3962,3668,2700,3541,3662,3569,2678,3760,3512,2328,3585,3968,3487,3602,3897,3731,3613,2334,3734,2626,3564,3476,3004,2895,3965,4012,2425,1037,2681,2188,2113,2391,2145,1113,2609,2348,2428,1361,1393,1117,2036,1137,1135,1139,3946,1145,3953,653,463,850,785,734,704,461,588,446,859,584,761,760,712,715,813,777,640,618,620,677,647,725,657,678,676,630,569,737,736,735,802,807,818,545,595,585,667,476,125,124,722,753,726,567,674,483,587,586,458,539,481,537,746,750,635,638,589,475,486,547,687,566,572,701,745,115,112,610,468,549,606,478,526,527,564,432,764,825,459,604,616,591,506,784,827,583,642,684,477,685,703,114,655,608,530,443,525,686,113,431,103,26,108,6,127,104,116])).
% 18.89/19.06 cnf(4036,plain,
% 18.89/19.06 (E(f22(f22(x40361)),x40361)),
% 18.89/19.06 inference(rename_variables,[],[150])).
% 18.89/19.06 cnf(4038,plain,
% 18.89/19.06 (E(f22(f22(x40381)),x40381)),
% 18.89/19.06 inference(rename_variables,[],[150])).
% 18.89/19.06 cnf(4041,plain,
% 18.89/19.06 (~E(f34(x40411,x40412),f30(x40413,x40414))),
% 18.89/19.06 inference(scs_inference,[],[403,359,374,900,387,249,179,244,358,388,371,3815,375,154,198,187,182,3877,192,150,4036,897,4026,195,3828,877,230,3796,3882,3939,264,292,887,3808,3856,3986,232,3862,3890,3930,3934,3981,248,885,189,3872,151,164,142,160,130,197,407,307,137,159,242,3861,131,405,162,144,3525,3741,3519,3627,2902,3938,3473,3510,2008,2709,3639,3962,3668,2700,3541,3662,3569,2678,3760,3512,2328,3585,3968,3487,3602,3897,3731,3613,2334,3734,2626,3564,3476,3004,2895,3965,4012,2425,1037,2681,2188,2113,2391,2145,1113,2609,2348,2428,1361,1393,1117,2036,2285,1137,1135,1139,3946,1145,3953,653,463,850,785,734,704,461,588,446,859,584,761,760,712,715,813,777,640,618,620,677,647,725,657,678,676,630,569,737,736,735,802,807,818,545,595,585,667,476,125,124,722,753,726,567,674,483,587,586,458,539,481,537,746,750,635,638,589,475,486,547,687,566,572,701,745,115,112,610,468,549,606,478,526,527,564,432,764,825,459,604,616,591,506,784,827,583,642,684,477,685,703,114,655,608,530,443,525,686,113,431,103,26,108,6,127,104,116,109,107,105,3,2])).
% 18.89/19.06 cnf(4056,plain,
% 18.89/19.06 (P9(f47(x40561,f48(x40561,x40562,x40563,x40564),x40563,x40564),x40562,f53(x40564,a1))),
% 18.89/19.06 inference(rename_variables,[],[333])).
% 18.89/19.06 cnf(4058,plain,
% 18.89/19.06 (~P6(f20(f43(f53(f46(x40581,f46(x40582,x40583,x40584),x40584),a1)),a40,f46(x40581,f46(x40582,x40583,x40584),x40584),x40585),f46(x40586,f11(f46(f45(a40,f45(f20(f43(f53(f46(x40581,f46(x40582,x40583,x40584),x40584),a1)),a40,f46(x40581,f46(x40582,x40583,x40584),x40584),x40585),f45(f44(x40587),f30(a55,a57)))),x40588,x40585),f47(f44(x40587),f27(f14(a25,a54)),a51,x40585),f53(x40585,a1)),x40585),x40585,f46(x40581,f46(x40582,x40583,x40584),x40584))),
% 18.89/19.06 inference(scs_inference,[],[403,359,374,900,387,249,179,244,358,388,371,3815,375,154,198,187,182,3877,192,150,4036,4038,897,4026,195,3828,877,230,3796,3882,3939,264,292,887,3808,3856,3986,232,3862,3890,3930,3934,3981,248,333,885,189,3872,151,164,142,160,875,130,197,407,307,137,159,242,3861,131,405,162,144,3525,3741,3519,3627,2902,3938,3473,3510,2008,2709,3639,3962,3668,2700,3541,3662,3569,2678,3760,3512,2328,3585,3968,3487,3602,3897,3731,3613,2334,3765,3734,2626,3564,3476,3004,2895,3965,4012,2425,1037,2681,2188,3779,2113,2391,2145,1113,2609,2348,2428,1361,1393,1117,2036,2285,1137,1135,1139,3946,1145,3953,653,463,850,785,734,704,461,588,446,859,584,761,760,712,715,813,777,640,618,620,677,647,725,657,678,676,630,569,737,736,735,802,807,818,545,595,585,667,476,125,124,722,753,726,567,674,483,587,586,458,539,481,537,746,750,635,638,589,475,486,547,687,566,572,701,745,115,112,610,468,549,606,478,526,527,564,432,764,825,459,604,616,591,506,784,827,583,642,684,477,685,703,114,655,608,530,443,525,686,113,431,103,26,108,6,127,104,116,109,107,105,3,2,126,765,762,766,728,808,568,834,759])).
% 18.89/19.06 cnf(4060,plain,
% 18.89/19.06 (~E(f11(f47(x40601,f21(x40602,f41(f53(x40603,a1)),x40604),x40603,x40605),x40606,f53(x40605,a1)),f41(f53(x40605,a1)))),
% 18.89/19.06 inference(scs_inference,[],[403,359,374,900,387,249,179,244,358,388,371,3815,375,154,198,187,182,3877,192,150,4036,4038,897,4026,195,3828,877,889,230,3796,3882,3939,264,292,887,3808,3856,3986,232,3862,3890,3930,3934,3981,248,333,885,189,3872,151,164,142,160,875,130,197,407,307,137,159,242,3861,131,405,162,144,3525,3741,3519,3627,2902,3938,3473,3510,2008,2709,3639,3962,3668,2700,3541,3662,3569,2678,3760,3512,2328,3585,3968,3487,3602,3897,3731,3613,2334,3765,3734,2626,3564,3476,3004,2895,3965,4012,2425,1037,2681,2188,3779,2113,2391,2145,1113,2609,1131,2348,2428,1361,1393,1117,2036,2285,1137,1135,1139,3946,1145,3953,653,463,850,785,734,704,461,588,446,859,584,761,760,712,715,813,777,640,618,620,677,647,725,657,678,676,630,569,737,736,735,802,807,818,545,595,585,667,476,125,124,722,753,726,567,674,483,587,586,458,539,481,537,746,750,635,638,589,475,486,547,687,566,572,701,745,115,112,610,468,549,606,478,526,527,564,432,764,825,459,604,616,591,506,784,827,583,642,684,477,685,703,114,655,608,530,443,525,686,113,431,103,26,108,6,127,104,116,109,107,105,3,2,126,765,762,766,728,808,568,834,759,462])).
% 18.89/19.06 cnf(4061,plain,
% 18.89/19.06 (~E(f47(x40611,f21(x40612,f41(f53(x40613,a1)),x40614),x40613,x40615),f41(f53(x40615,a1)))),
% 18.89/19.06 inference(rename_variables,[],[889])).
% 18.89/19.06 cnf(4064,plain,
% 18.89/19.06 (P7(f34(f28(x40641),f28(x40641)),f35(x40642),a51)),
% 18.89/19.06 inference(rename_variables,[],[3739])).
% 18.89/19.06 cnf(4065,plain,
% 18.89/19.06 (P9(f47(x40651,f48(x40651,x40652,x40653,x40654),x40653,x40654),x40652,f53(x40654,a1))),
% 18.89/19.06 inference(rename_variables,[],[333])).
% 18.89/19.06 cnf(4073,plain,
% 18.89/19.06 (P7(f34(f28(x40731),f28(x40731)),f35(x40732),a51)),
% 18.89/19.06 inference(rename_variables,[],[3739])).
% 18.89/19.06 cnf(4088,plain,
% 18.89/19.06 (~P7(f31(x40881),f35(f41(f53(x40882,a1))),a51)),
% 18.89/19.06 inference(scs_inference,[],[403,359,374,900,387,249,179,244,358,388,371,3815,375,154,198,187,182,3877,192,150,4036,4038,897,4026,195,3828,877,889,4061,230,3796,3882,3939,264,292,887,3808,3856,3986,232,3862,3890,3930,3934,3981,248,333,4056,885,3835,189,3872,151,164,142,160,875,130,197,407,307,883,137,159,242,3861,131,405,162,144,3525,2696,3741,3519,3627,2902,3938,3473,3510,2008,2709,3639,3962,3668,2700,3541,3662,3569,2678,3760,3512,2328,3739,4064,4073,3585,3968,3487,3602,3897,3731,3613,2334,3765,3734,2626,3564,3476,3004,2895,3965,4012,2425,1037,2440,2681,2188,3779,2113,2391,2145,1113,2609,1745,2394,1131,2348,2428,2237,1361,2256,1393,1117,2036,2285,1137,1135,1139,3946,1145,3953,653,463,850,785,734,704,461,588,446,859,584,761,760,712,715,813,777,640,618,620,677,647,725,657,678,676,630,569,737,736,735,802,807,818,545,595,585,667,476,125,124,722,753,726,567,674,483,587,586,458,539,481,537,746,750,635,638,589,475,486,547,687,566,572,701,745,115,112,610,468,549,606,478,526,527,564,432,764,825,459,604,616,591,506,784,827,583,642,684,477,685,703,114,655,608,530,443,525,686,113,431,103,26,108,6,127,104,116,109,107,105,3,2,126,765,762,766,728,808,568,834,759,462,754,460,556,751,696,835,756,780,490])).
% 18.89/19.06 cnf(4091,plain,
% 18.89/19.06 (P7(f30(f45(f44(x40911),x40912),f28(x40913)),f35(f23(f14(a25,f12(f3(a2),f3(a2),f53(x40914,a1))))),a51)),
% 18.89/19.06 inference(scs_inference,[],[403,359,374,900,387,249,179,244,358,388,371,3815,375,154,198,187,182,3877,192,150,4036,4038,897,4026,195,3828,877,889,4061,230,3796,3882,3939,264,292,887,3808,3856,3986,232,3862,3890,3930,3934,3981,248,333,4056,885,3835,189,3872,151,164,142,160,875,130,197,407,307,883,137,225,159,242,3861,131,405,162,144,3525,2696,3741,3519,3627,2902,3938,3473,3510,2008,2709,3639,3962,3668,2700,3541,3662,3569,2678,3760,3512,2328,3739,4064,4073,3585,3968,3487,3602,3897,3731,3613,2334,3765,3734,2626,3564,3476,3004,2895,3965,4012,2425,1037,2440,2681,2188,3779,2113,2391,2145,1113,2609,1745,2394,1131,2348,2428,2237,1361,2256,1393,1117,2036,2285,1137,1135,1139,3946,1145,3953,653,463,850,785,734,704,461,588,446,859,584,761,760,712,715,813,777,640,618,620,677,647,725,657,678,676,630,569,737,736,735,802,807,818,545,595,585,667,476,125,124,722,753,726,567,674,483,587,586,458,539,481,537,746,750,635,638,589,475,486,547,687,566,572,701,745,115,112,610,468,549,606,478,526,527,564,432,764,825,459,604,616,591,506,784,827,583,642,684,477,685,703,114,655,608,530,443,525,686,113,431,103,26,108,6,127,104,116,109,107,105,3,2,126,765,762,766,728,808,568,834,759,462,754,460,556,751,696,835,756,780,490,599])).
% 18.89/19.06 cnf(4099,plain,
% 18.89/19.06 (~P9(f24(f21(x40991,f3(x40992),x40993),x40992),f41(f53(x40992,a1)),f53(x40992,a1))),
% 18.89/19.06 inference(scs_inference,[],[403,359,374,900,387,249,179,244,358,388,371,3815,375,154,198,187,182,3877,192,150,4036,4038,897,4026,195,3828,877,889,4061,230,3796,3882,3939,264,292,887,3808,3856,3986,232,3862,3890,3930,3934,3981,248,333,4056,885,3835,189,3872,3935,151,164,142,160,875,130,197,407,307,883,137,225,159,242,3861,131,405,162,144,3525,2696,3741,3519,3627,2902,3938,3473,3510,2008,2709,3639,3962,3668,2700,3541,1479,3662,3569,2678,3760,3512,2328,3739,4064,4073,3585,3968,3487,3602,3897,3731,3613,2334,3765,3734,2626,3564,3476,3004,2895,3965,4012,2425,1037,2440,2681,2188,3779,2113,2391,2145,1113,2609,1745,2394,1131,2348,2428,2237,1361,2256,1393,1117,2036,2285,1137,3931,1135,1139,3946,1145,3953,653,463,850,785,734,704,461,588,446,859,584,761,760,712,715,813,777,640,618,620,677,647,725,657,678,676,630,569,737,736,735,802,807,818,545,595,585,667,476,125,124,722,753,726,567,674,483,587,586,458,539,481,537,746,750,635,638,589,475,486,547,687,566,572,701,745,115,112,610,468,549,606,478,526,527,564,432,764,825,459,604,616,591,506,784,827,583,642,684,477,685,703,114,655,608,530,443,525,686,113,431,103,26,108,6,127,104,116,109,107,105,3,2,126,765,762,766,728,808,568,834,759,462,754,460,556,751,696,835,756,780,490,599,577,578,516])).
% 18.89/19.06 cnf(4103,plain,
% 18.89/19.06 (P6(x41031,f47(x41031,f47(x41032,f48(x41032,f41(f53(x41033,a1)),x41034,x41033),x41034,x41033),x41033,x41033),x41033,x41033)),
% 18.89/19.06 inference(scs_inference,[],[403,359,374,900,387,249,179,244,358,388,371,3815,375,154,198,187,182,3877,192,150,4036,4038,897,4026,195,3828,877,889,4061,230,3796,3882,3939,264,292,887,3808,3856,3986,232,3862,3890,3930,3934,3981,248,333,4056,885,3835,189,3872,3935,151,164,142,160,875,130,197,407,307,883,137,225,159,242,3861,131,405,162,144,3525,2696,3741,3519,3627,2902,3938,2853,3562,3473,3510,2008,2709,3639,3962,3668,2700,3541,1479,3662,3569,2678,3760,3512,2328,3739,4064,4073,3585,3968,3487,3602,3897,3731,3613,2334,3765,3734,2626,3564,3476,3004,2895,3965,4012,2425,1037,2440,2681,2188,3779,2113,2391,2145,1113,2609,1745,2394,1131,2348,2428,2237,1361,2256,1393,1117,2036,2285,1137,3931,1135,1139,3946,1145,3953,653,463,850,785,734,704,461,588,446,859,584,761,760,712,715,813,777,640,618,620,677,647,725,657,678,676,630,569,737,736,735,802,807,818,545,595,585,667,476,125,124,722,753,726,567,674,483,587,586,458,539,481,537,746,750,635,638,589,475,486,547,687,566,572,701,745,115,112,610,468,549,606,478,526,527,564,432,764,825,459,604,616,591,506,784,827,583,642,684,477,685,703,114,655,608,530,443,525,686,113,431,103,26,108,6,127,104,116,109,107,105,3,2,126,765,762,766,728,808,568,834,759,462,754,460,556,751,696,835,756,780,490,599,577,578,516,860])).
% 18.89/19.06 cnf(4104,plain,
% 18.89/19.06 (~P7(x41041,f47(x41042,f48(x41042,f41(f53(x41043,a1)),x41044,x41045),x41044,x41045),x41046)),
% 18.89/19.06 inference(rename_variables,[],[3562])).
% 18.89/19.06 cnf(4108,plain,
% 18.89/19.06 (P7(f45(a33,f45(a40,a25)),f23(f46(x41081,f14(a25,f21(f15(x41082,x41083),f21(f16(x41084,x41085,x41086),a54,a2),a2)),a51)),a51)),
% 18.89/19.06 inference(scs_inference,[],[403,359,374,900,387,249,179,244,358,388,371,3815,375,154,198,187,182,3877,192,150,4036,4038,897,4026,195,3828,877,889,4061,230,3796,3882,3939,264,292,887,3808,3856,3986,232,3862,3890,3930,3934,3981,248,333,4056,885,3835,189,3872,3935,151,164,142,160,875,130,197,407,307,883,137,225,159,242,3861,131,405,162,144,3525,2696,3741,3519,3627,2902,3938,2853,3562,3473,3510,2008,2709,3639,3962,3668,2700,3541,1479,3662,3569,2678,3760,3512,2328,3739,4064,4073,3585,3968,3487,3602,3897,3731,3613,2334,3765,3734,2626,3564,3476,3004,2895,3965,4012,2425,1037,2440,2681,2188,3779,2113,2391,2145,1113,2609,1745,2394,1131,2348,2428,2237,1361,2256,1393,1117,2036,2285,1137,3931,1135,1139,3946,1145,3953,653,463,850,785,734,704,461,588,446,859,584,761,760,712,715,813,777,640,618,620,677,647,725,657,678,676,630,569,737,736,735,802,807,818,545,595,585,667,476,125,124,722,753,726,567,674,483,587,586,458,539,481,537,746,750,635,638,589,475,486,547,687,566,572,701,745,115,112,610,468,549,606,478,526,527,564,432,764,825,459,604,616,591,506,784,827,583,642,684,477,685,703,114,655,608,530,443,525,686,113,431,103,26,108,6,127,104,116,109,107,105,3,2,126,765,762,766,728,808,568,834,759,462,754,460,556,751,696,835,756,780,490,599,577,578,516,860,649])).
% 18.89/19.06 cnf(4111,plain,
% 18.89/19.06 (~P7(x41111,f47(f20(f48(x41112,f41(f53(x41113,a1)),f22(f45(a40,x41114)),x41115),x41112,f22(f45(a40,x41114)),x41115),f47(x41116,f48(x41116,f47(x41112,f48(x41112,f41(f53(x41113,a1)),f22(f45(a40,x41114)),x41115),f22(f45(a40,x41114)),x41115),x41117,x41115),x41117,x41115),x41115,f45(a40,x41114)),f45(a40,x41114))),
% 18.89/19.06 inference(scs_inference,[],[403,359,374,900,387,249,179,244,358,388,371,3815,375,154,198,187,182,3877,192,150,4036,4038,897,4026,195,3828,877,889,4061,230,3796,3882,3939,264,292,887,3808,3856,3986,232,3862,3890,3930,3934,3981,248,333,4056,4065,885,3835,189,3872,3935,151,164,142,160,875,130,197,407,307,883,137,225,159,242,3861,131,405,162,144,3525,2696,3741,3519,3627,2902,3938,2853,3562,4104,3473,3510,2008,2709,3639,3962,2868,3668,2700,3541,1479,3662,3569,2678,3760,3512,2328,3739,4064,4073,3585,3968,3487,3602,3897,3731,3613,2334,3765,3734,2626,3564,3476,3004,2895,3965,4012,2425,1037,2440,2681,2188,3779,2113,2391,2145,1113,2609,1745,2394,1131,2348,2428,2237,1361,2256,1393,1117,2036,2285,1137,3931,1135,1139,3946,1145,3953,653,463,850,785,734,704,461,588,446,859,584,761,760,712,715,813,777,640,618,620,677,647,725,657,678,676,630,569,737,736,735,802,807,818,545,595,585,667,476,125,124,722,753,726,567,674,483,587,586,458,539,481,537,746,750,635,638,589,475,486,547,687,566,572,701,745,115,112,610,468,549,606,478,526,527,564,432,764,825,459,604,616,591,506,784,827,583,642,684,477,685,703,114,655,608,530,443,525,686,113,431,103,26,108,6,127,104,116,109,107,105,3,2,126,765,762,766,728,808,568,834,759,462,754,460,556,751,696,835,756,780,490,599,577,578,516,860,649,7,841])).
% 18.89/19.06 cnf(4155,plain,
% 18.89/19.06 (P9(f17(x41551,x41551,f53(x41552,a1)),x41553,f53(x41552,a1))),
% 18.89/19.06 inference(scs_inference,[],[361,230,883,225,159,3921,2986,2348,763,613,720,499,759,728])).
% 18.89/19.06 cnf(4159,plain,
% 18.89/19.06 (P6(f20(f17(x41591,x41592,f53(x41593,a1)),x41594,x41593,x41595),f17(f47(x41594,x41591,x41593,x41595),f47(x41594,x41592,x41593,x41595),f53(x41595,a1)),x41595,x41593)),
% 18.89/19.06 inference(scs_inference,[],[361,290,341,230,883,225,159,3921,2986,2348,763,613,720,499,759,728,600,813])).
% 18.89/19.06 cnf(4161,plain,
% 18.89/19.06 (~P7(f30(x41611,f31(x41612)),f35(f41(f53(x41613,a1))),a51)),
% 18.89/19.06 inference(scs_inference,[],[361,290,341,230,885,883,225,159,3921,4088,2986,2348,763,613,720,499,759,728,600,813,588])).
% 18.89/19.06 cnf(4163,plain,
% 18.89/19.06 (~P7(x41631,f41(f53(x41632,a1)),x41633)),
% 18.89/19.06 inference(rename_variables,[],[885])).
% 18.89/19.06 cnf(4166,plain,
% 18.89/19.06 (~E(f45(a33,x41661),f34(x41662,x41663))),
% 18.89/19.06 inference(rename_variables,[],[371])).
% 18.89/19.06 cnf(4168,plain,
% 18.89/19.06 (~P7(f45(a33,a56),f23(f46(f28(x41681),f14(a25,a54),a51)),a51)),
% 18.89/19.06 inference(scs_inference,[],[361,371,290,341,230,196,885,164,883,225,159,3921,4088,2986,2348,763,613,720,499,759,728,600,813,588,806,754])).
% 18.89/19.06 cnf(4179,plain,
% 18.89/19.06 (P9(x41791,f27(x41791),f53(a51,a1))),
% 18.89/19.06 inference(rename_variables,[],[174])).
% 18.89/19.06 cnf(4183,plain,
% 18.89/19.06 (P6(f20(f41(f53(x41831,a1)),x41832,x41831,x41831),f12(x41833,f47(x41832,f41(f53(x41831,a1)),x41831,x41831),f53(x41831,a1)),x41831,x41831)),
% 18.89/19.06 inference(rename_variables,[],[2073])).
% 18.89/19.06 cnf(4184,plain,
% 18.89/19.06 (P9(f47(x41841,f12(x41842,x41843,f53(x41844,a1)),x41844,x41845),f12(f47(x41841,x41842,x41844,x41845),f47(x41841,x41843,x41844,x41845),f53(x41845,a1)),f53(x41845,a1))),
% 18.89/19.06 inference(rename_variables,[],[340])).
% 18.89/19.06 cnf(4192,plain,
% 18.89/19.06 (P7(x41921,f48(x41922,f46(f45(x41922,x41921),f41(f53(x41923,a1)),x41923),x41924,x41923),x41924)),
% 18.89/19.06 inference(rename_variables,[],[321])).
% 18.89/19.06 cnf(4195,plain,
% 18.89/19.06 (P7(f45(a33,f22(f45(f44(x41951),x41952))),f13(x41953),a51)),
% 18.89/19.06 inference(rename_variables,[],[237])).
% 18.89/19.06 cnf(4197,plain,
% 18.89/19.06 (~P7(x41971,f47(x41972,f17(f41(f53(x41973,a1)),x41974,f53(x41973,a1)),x41973,x41975),x41975)),
% 18.89/19.06 inference(scs_inference,[],[415,361,237,371,290,340,4184,341,321,174,230,196,195,885,4163,233,164,883,225,137,159,1255,2389,3921,4088,2883,2495,2986,2073,4183,2348,763,613,720,499,759,728,600,813,588,806,754,677,445,576,802,833,832,647,667,841])).
% 18.89/19.06 cnf(4200,plain,
% 18.89/19.06 (~P7(x42001,f41(f53(x42002,a1)),x42003)),
% 18.89/19.06 inference(rename_variables,[],[885])).
% 18.89/19.06 cnf(4203,plain,
% 18.89/19.06 (P9(f17(f47(x42031,x42032,x42033,x42034),f47(x42031,x42035,x42033,x42034),f53(x42034,a1)),f47(x42031,f17(x42032,x42035,f53(x42033,a1)),x42033,x42034),f53(x42034,a1))),
% 18.89/19.06 inference(rename_variables,[],[341])).
% 18.89/19.06 cnf(4207,plain,
% 18.89/19.06 (P9(x42071,f46(x42072,x42071,x42073),f53(x42073,a1))),
% 18.89/19.06 inference(rename_variables,[],[216])).
% 18.89/19.06 cnf(4208,plain,
% 18.89/19.06 (P12(f53(x42081,a1))),
% 18.89/19.06 inference(rename_variables,[],[1137])).
% 18.89/19.06 cnf(4219,plain,
% 18.89/19.06 (E(f12(f43(f53(x42191,a1)),x42192,f53(x42191,a1)),x42192)),
% 18.89/19.06 inference(rename_variables,[],[194])).
% 18.89/19.06 cnf(4220,plain,
% 18.89/19.06 (~P8(f32(x42201),f34(x42202,x42203),x42204)),
% 18.89/19.06 inference(scs_inference,[],[415,361,157,237,194,371,290,340,4184,141,341,321,174,216,230,196,195,188,885,4163,233,164,883,225,137,159,131,3878,1255,976,2389,3921,4088,3918,2883,3552,2495,2986,2073,4183,2348,1137,763,613,720,499,759,728,600,813,588,806,754,677,445,576,802,833,832,647,667,841,753,516,649,567,481,7,124,458])).
% 18.89/19.06 cnf(4225,plain,
% 18.89/19.06 (P1(f53(x42251,a1))),
% 18.89/19.06 inference(rename_variables,[],[1145])).
% 18.89/19.06 cnf(4232,plain,
% 18.89/19.06 (P9(f24(x42321,x42322),f24(f21(x42323,x42321,x42322),x42322),f53(x42322,a1))),
% 18.89/19.06 inference(rename_variables,[],[256])).
% 18.89/19.06 cnf(4239,plain,
% 18.89/19.06 (~P7(f30(x42391,f45(a33,a56)),f23(f14(a25,a54)),a51)),
% 18.89/19.06 inference(scs_inference,[],[415,361,157,902,237,194,371,256,290,340,4184,141,341,321,174,216,230,196,195,188,885,4163,233,900,164,883,225,137,159,131,4103,3878,1255,3950,976,2389,3921,4088,3918,4108,2883,3552,3588,2495,2605,2986,2073,4183,2348,1137,1145,763,613,720,499,759,728,600,813,588,806,754,677,445,576,802,833,832,647,667,841,753,516,649,567,481,7,124,458,539,635,856,537,589,746,486])).
% 18.89/19.06 cnf(4245,plain,
% 18.89/19.06 (~P7(x42451,f47(x42452,f48(x42452,f47(x42453,f48(x42453,f41(f53(x42454,a1)),f22(f45(a40,x42455)),x42456),f22(f45(a40,x42455)),x42456),x42457,x42456),x42457,x42456),x42456)),
% 18.89/19.06 inference(scs_inference,[],[415,361,157,902,237,4195,194,371,256,290,291,340,4184,141,341,321,174,216,230,196,195,188,885,4163,233,900,164,883,225,137,159,131,4103,3878,4111,1255,3950,976,2389,3921,4088,3918,4108,2883,3552,3588,2495,2605,2986,2073,4183,2348,1137,1145,763,613,720,499,759,728,600,813,588,806,754,677,445,576,802,833,832,647,667,841,753,516,649,567,481,7,124,458,539,635,856,537,589,746,486,701,750,745])).
% 18.89/19.06 cnf(4249,plain,
% 18.89/19.06 (P9(f24(x42491,x42492),f24(f21(x42493,x42491,x42492),x42492),f53(x42492,a1))),
% 18.89/19.06 inference(rename_variables,[],[256])).
% 18.89/19.06 cnf(4252,plain,
% 18.89/19.06 (P11(f53(x42521,a1))),
% 18.89/19.06 inference(rename_variables,[],[1139])).
% 18.89/19.06 cnf(4254,plain,
% 18.89/19.06 (P7(f45(a33,f22(f45(f44(x42541),x42542))),f23(f13(x42543)),a51)),
% 18.89/19.06 inference(scs_inference,[],[415,361,157,902,237,4195,194,371,256,4232,290,291,340,4184,141,341,321,174,216,230,196,195,292,188,885,4163,233,900,164,883,225,137,159,131,4103,3878,4111,1255,3950,976,2389,3921,4088,3918,4108,2883,3552,3588,2495,2605,2986,2073,4183,2348,1137,1139,1145,763,613,720,499,759,728,600,813,588,806,754,677,445,576,802,833,832,647,667,841,753,516,649,567,481,7,124,458,539,635,856,537,589,746,486,701,750,745,638,610,475])).
% 18.89/19.06 cnf(4256,plain,
% 18.89/19.06 (~P9(f23(f14(a25,x42561)),f23(f41(f53(a51,a1))),f53(a51,a1))),
% 18.89/19.06 inference(scs_inference,[],[415,361,157,902,237,4195,194,371,256,4232,290,291,340,4184,141,341,321,174,216,230,196,195,292,188,885,4163,233,900,164,883,225,137,159,131,4103,3878,4111,1255,3950,976,2389,2904,3921,4088,3918,4108,2883,3552,3588,2495,2605,2986,2073,4183,2348,1137,1139,1145,763,613,720,499,759,728,600,813,588,806,754,677,445,576,802,833,832,647,667,841,753,516,649,567,481,7,124,458,539,635,856,537,589,746,486,701,750,745,638,610,475,547])).
% 18.89/19.06 cnf(4259,plain,
% 18.89/19.06 (P9(x42591,f23(x42591),f53(a51,a1))),
% 18.89/19.06 inference(rename_variables,[],[172])).
% 18.89/19.06 cnf(4262,plain,
% 18.89/19.06 (P9(f24(x42621,x42622),f24(f21(x42623,x42621,x42622),x42622),f53(x42622,a1))),
% 18.89/19.06 inference(rename_variables,[],[256])).
% 18.89/19.06 cnf(4264,plain,
% 18.89/19.06 (P9(f12(x42641,x42642,f53(x42643,a1)),x42642,f53(x42643,a1))),
% 18.89/19.06 inference(rename_variables,[],[231])).
% 18.89/19.06 cnf(4267,plain,
% 18.89/19.06 (~E(f11(f47(x42671,f21(x42672,f41(f53(x42673,a1)),x42674),x42673,x42675),x42676,f53(x42675,a1)),f41(f53(x42675,a1)))),
% 18.89/19.06 inference(rename_variables,[],[4060])).
% 18.89/19.06 cnf(4268,plain,
% 18.89/19.06 (P9(x42681,f11(x42682,x42681,f53(x42683,a1)),f53(x42683,a1))),
% 18.89/19.06 inference(rename_variables,[],[229])).
% 18.89/19.06 cnf(4285,plain,
% 18.89/19.06 (P9(f11(f27(x42851),f27(x42852),f53(a51,a1)),f27(f11(x42851,x42852,f53(a51,a1))),f53(a51,a1))),
% 18.89/19.06 inference(rename_variables,[],[292])).
% 18.89/19.06 cnf(4287,plain,
% 18.89/19.06 (P7(f45(x42871,f45(a33,f22(f45(f44(x42872),x42873)))),f27(f47(x42871,f13(x42874),a51,a51)),a51)),
% 18.89/19.06 inference(scs_inference,[],[415,361,157,902,237,4195,194,371,4166,256,4232,4249,290,291,340,4184,141,341,321,174,4179,216,229,230,196,195,292,231,172,188,885,4163,233,900,164,883,225,137,159,131,4103,3878,4111,1255,4009,3832,3910,3950,4060,4267,976,2389,2904,3921,4088,3918,4108,2883,3552,3588,3616,2654,2495,2605,2986,2073,4183,2348,1137,4208,1139,1145,763,613,720,499,759,728,600,813,588,806,754,677,445,576,802,833,832,647,667,841,753,516,649,567,481,7,124,458,539,635,856,537,589,746,486,701,750,745,638,610,475,547,687,566,572,564,432,764,459,468,825,591,784])).
% 18.89/19.06 cnf(4288,plain,
% 18.89/19.06 (P9(x42881,f27(x42881),f53(a51,a1))),
% 18.89/19.06 inference(rename_variables,[],[174])).
% 18.89/19.06 cnf(4295,plain,
% 18.89/19.06 (P9(f17(f12(f12(f12(x42951,f12(x42952,x42953,f53(x42954,a1)),f53(x42954,a1)),x42955,f53(x42954,a1)),x42956,f53(x42954,a1)),x42957,f53(x42954,a1)),x42952,f53(x42954,a1))),
% 18.89/19.06 inference(scs_inference,[],[415,361,157,902,237,4195,194,371,4166,256,4232,4249,290,291,340,4184,141,341,321,174,4179,216,229,230,196,195,292,231,172,188,885,4163,233,900,164,883,225,137,159,131,3599,4103,3878,4111,3974,1255,4009,3832,3910,3950,4060,4267,976,2389,2904,3921,4088,3918,4108,2883,3552,3588,3616,2654,2495,2605,2986,2073,4183,2348,1137,4208,1139,1145,4225,763,613,720,499,759,728,600,813,588,806,754,677,445,576,802,833,832,647,667,841,753,516,649,567,481,7,124,458,539,635,856,537,589,746,486,701,750,745,638,610,475,547,687,566,572,564,432,764,459,468,825,591,784,549,526,606])).
% 18.89/19.06 cnf(4296,plain,
% 18.89/19.06 (P9(f17(f12(f12(f12(x42961,x42962,f53(x42963,a1)),x42964,f53(x42963,a1)),x42965,f53(x42963,a1)),x42966,f53(x42963,a1)),x42962,f53(x42963,a1))),
% 18.89/19.06 inference(rename_variables,[],[3974])).
% 18.89/19.06 cnf(4300,plain,
% 18.89/19.06 (~P9(f21(x43001,f41(a1),x43002),f12(x43003,f12(f12(x43004,f41(a1),a1),x43005,a1),a1),a1)),
% 18.89/19.06 inference(scs_inference,[],[415,361,157,902,237,4195,194,371,4166,256,4232,4249,290,291,340,4184,141,341,321,174,4179,216,229,230,196,195,292,231,172,188,885,4163,233,900,164,130,883,225,137,159,131,3599,4103,3878,4111,3974,1255,4009,3832,3910,3950,4060,4267,976,2389,2904,3921,4088,3918,4108,2883,3552,3611,3588,3616,2654,2495,2605,2986,2073,4183,2348,1137,4208,1139,1145,4225,763,613,720,499,759,728,600,813,588,806,754,677,445,576,802,833,832,647,667,841,753,516,649,567,481,7,124,458,539,635,856,537,589,746,486,701,750,745,638,610,475,547,687,566,572,564,432,764,459,468,825,591,784,549,526,606,527,604])).
% 18.89/19.06 cnf(4310,plain,
% 18.89/19.06 (~P9(f14(a25,a54),f12(f12(x43101,f12(f12(f45(f18(x43102,x43103,f27(f41(f53(a51,a1))),x43104,x43105),x43103),x43106,f53(a51,a1)),x43107,f53(a51,a1)),f53(a51,a1)),x43108,f53(a51,a1)),f53(a51,a1))),
% 18.89/19.06 inference(scs_inference,[],[415,361,157,902,904,237,4195,194,371,4166,256,4232,4249,290,291,340,4184,141,341,321,174,4179,216,229,4268,230,196,195,292,231,4264,172,188,885,4163,233,900,164,130,883,225,137,159,131,3599,3929,4103,3878,4111,3974,1255,4009,3832,3701,3910,3950,4060,4267,976,2389,2904,3921,4088,3918,4108,2883,3552,3611,3588,3616,2654,2495,2605,2986,2073,4183,2348,1137,4208,1139,1145,4225,763,613,720,499,759,728,600,813,588,806,754,677,445,576,802,833,832,647,667,841,753,516,649,567,481,7,124,458,539,635,856,537,589,746,486,701,750,745,638,610,475,547,687,566,572,564,432,764,459,468,825,591,784,549,526,606,527,604,642,477,685,703])).
% 18.89/19.06 cnf(4312,plain,
% 18.89/19.06 (P9(f12(x43121,x43122,f53(x43123,a1)),x43122,f53(x43123,a1))),
% 18.89/19.06 inference(rename_variables,[],[231])).
% 18.89/19.06 cnf(4317,plain,
% 18.89/19.06 (P19(f45(f35(f46(x43171,x43172,a51)),x43171))),
% 18.89/19.06 inference(scs_inference,[],[415,361,157,902,904,237,4195,194,371,4166,256,4232,4249,290,291,340,4184,141,341,265,321,174,4179,216,229,4268,230,196,195,292,4285,231,4264,172,188,885,4163,233,900,164,130,883,236,225,137,159,131,3599,3929,4103,3878,4111,3974,1255,4009,3832,3701,3910,3950,4060,4267,976,2389,2904,3921,4088,3918,4108,2883,3552,3611,3588,3616,2654,2495,2605,2986,2073,4183,2348,1137,4208,1139,4252,1145,4225,763,613,720,499,759,728,600,813,588,806,754,677,445,576,802,833,832,647,667,841,753,516,649,567,481,7,124,458,539,635,856,537,589,746,486,701,750,745,638,610,475,547,687,566,572,564,432,764,459,468,825,591,784,549,526,606,527,604,642,477,685,703,608,530])).
% 18.89/19.06 cnf(4323,plain,
% 18.89/19.06 (~P7(x43231,f27(f48(a33,f46(f34(x43232,x43233),f41(f53(x43234,a1)),x43234),a51,x43234)),a51)),
% 18.89/19.06 inference(scs_inference,[],[415,361,157,902,904,237,4195,194,371,4166,256,4232,4249,290,291,340,4184,141,341,265,321,174,4179,216,229,4268,230,196,195,292,4285,231,4264,172,188,885,4163,233,900,164,130,883,236,225,137,159,131,3599,3929,4103,3878,4111,3974,1255,4009,3832,3701,3910,3858,3950,4060,4267,976,2389,2904,3921,4088,3918,4108,2883,3552,3611,3588,3616,2654,2495,2605,2986,2073,4183,2348,1137,4208,1139,4252,1145,4225,763,613,720,499,759,728,600,813,588,806,754,677,445,576,802,833,832,647,667,841,753,516,649,567,481,7,124,458,539,635,856,537,589,746,486,701,750,745,638,610,475,547,687,566,572,564,432,764,459,468,825,591,784,549,526,606,527,604,642,477,685,703,608,530,525,506])).
% 18.89/19.06 cnf(4324,plain,
% 18.89/19.06 (~P7(x43241,f48(a33,f46(f34(x43242,x43243),f41(f53(x43244,a1)),x43244),x43245,x43244),x43245)),
% 18.89/19.06 inference(rename_variables,[],[3858])).
% 18.89/19.06 cnf(4328,plain,
% 18.89/19.06 (P9(x43281,f27(x43281),f53(a51,a1))),
% 18.89/19.06 inference(rename_variables,[],[174])).
% 18.89/19.06 cnf(4331,plain,
% 18.89/19.06 (P9(x43311,f27(x43311),f53(a51,a1))),
% 18.89/19.06 inference(rename_variables,[],[174])).
% 18.89/19.06 cnf(4350,plain,
% 18.89/19.06 (P6(x43501,f24(f3(f24(f3(x43502),x43502)),f24(f3(x43502),x43502)),f24(f3(x43502),x43502),x43503)),
% 18.89/19.06 inference(scs_inference,[],[415,361,157,902,904,237,4195,194,371,4166,256,4232,4249,4262,290,291,158,340,4184,141,341,265,321,174,4179,4288,4328,216,4207,229,4268,230,196,195,292,4285,231,4264,172,4259,188,885,4163,233,900,164,130,883,236,225,137,159,242,131,3599,3929,4103,3878,4111,3974,4296,1255,4009,3832,3701,3910,3858,4324,3950,4060,4267,976,2389,2904,3921,4088,3918,4108,2883,3552,3611,3588,3616,2654,2495,2605,2986,2073,4183,2348,1137,4208,1139,4252,1145,4225,763,613,720,499,759,728,600,813,588,806,754,677,445,576,802,833,832,647,667,841,753,516,649,567,481,7,124,458,539,635,856,537,589,746,486,701,750,745,638,610,475,547,687,566,572,564,432,764,459,468,825,591,784,549,526,606,527,604,642,477,685,703,608,530,525,506,616,583,827,684,655,443,686,114,431,113])).
% 18.89/19.06 cnf(4352,plain,
% 18.89/19.06 (E(f12(f43(f53(x43521,a1)),x43522,f53(x43521,a1)),x43522)),
% 18.89/19.06 inference(rename_variables,[],[194])).
% 18.89/19.06 cnf(4355,plain,
% 18.89/19.06 (~E(f48(x43551,f43(f53(x43552,a1)),x43553,x43554),f41(f53(x43555,a1)))),
% 18.89/19.06 inference(scs_inference,[],[415,361,157,902,904,237,4195,194,4219,371,4166,256,4232,4249,4262,290,291,158,340,4184,141,341,265,321,174,4179,4288,4328,216,4207,229,4268,230,196,195,292,4285,231,4264,4312,172,4259,188,885,4163,233,900,164,130,883,236,225,137,159,242,131,3599,3929,4103,3878,4111,3974,4296,1255,4009,4032,3832,3701,3910,3858,4324,3950,4060,4267,976,2389,2904,3921,4088,3918,4108,2883,3552,3611,3588,3616,2654,2495,2605,2986,2073,4183,2348,1137,4208,1139,4252,1145,4225,763,613,720,499,759,728,600,813,588,806,754,677,445,576,802,833,832,647,667,841,753,516,649,567,481,7,124,458,539,635,856,537,589,746,486,701,750,745,638,610,475,547,687,566,572,564,432,764,459,468,825,591,784,549,526,606,527,604,642,477,685,703,608,530,525,506,616,583,827,684,655,443,686,114,431,113,103,108,6])).
% 18.89/19.06 cnf(4357,plain,
% 18.89/19.06 (P8(f46(f32(f34(x43571,x43572)),f46(f34(f32(f34(x43571,x43572)),x43572),f23(f46(x43572,x43573,a51)),a51),a51),f23(f46(f34(f32(f34(x43571,x43572)),x43572),x43573,a51)),x43574)),
% 18.89/19.06 inference(scs_inference,[],[415,361,157,325,902,904,237,4195,194,4219,371,4166,256,4232,4249,4262,290,291,158,340,4184,141,341,265,321,174,4179,4288,4328,216,4207,229,4268,230,196,195,292,4285,231,4264,4312,172,4259,188,885,4163,233,900,164,130,883,236,225,137,159,242,131,4028,3599,3929,4103,3878,4111,3974,4296,1255,4009,4032,3832,3701,3910,3858,4324,3950,4060,4267,976,2389,2904,3921,4088,3918,4108,2883,3552,3611,3588,3616,2654,2495,2605,2986,2073,4183,2348,1137,4208,1139,4252,1145,4225,763,613,720,499,759,728,600,813,588,806,754,677,445,576,802,833,832,647,667,841,753,516,649,567,481,7,124,458,539,635,856,537,589,746,486,701,750,745,638,610,475,547,687,566,572,564,432,764,459,468,825,591,784,549,526,606,527,604,642,477,685,703,608,530,525,506,616,583,827,684,655,443,686,114,431,113,103,108,6,127])).
% 18.89/19.06 cnf(4358,plain,
% 18.89/19.06 (~P7(x43581,f24(f3(x43582),x43582),x43583)),
% 18.89/19.06 inference(scs_inference,[],[415,361,157,325,902,904,237,4195,194,4219,371,4166,256,4232,4249,4262,290,291,158,340,4184,141,341,265,321,174,4179,4288,4328,216,4207,229,4268,230,196,195,292,4285,231,4264,4312,172,4259,188,885,4163,4200,233,900,164,130,883,236,225,137,159,242,131,4028,3599,3929,4103,3878,4111,3974,4296,1255,4009,4032,3832,3701,3910,3858,4324,3950,4060,4267,976,2389,2904,3921,4088,3918,4108,2883,3552,3611,3588,3616,2654,2495,2605,2986,2073,4183,2348,1137,4208,1139,4252,1145,4225,763,613,720,499,759,728,600,813,588,806,754,677,445,576,802,833,832,647,667,841,753,516,649,567,481,7,124,458,539,635,856,537,589,746,486,701,750,745,638,610,475,547,687,566,572,564,432,764,459,468,825,591,784,549,526,606,527,604,642,477,685,703,608,530,525,506,616,583,827,684,655,443,686,114,431,113,103,108,6,127,104])).
% 18.89/19.06 cnf(4359,plain,
% 18.89/19.06 (E(f24(f3(x43591),x43591),f41(f53(x43591,a1)))),
% 18.89/19.06 inference(rename_variables,[],[157])).
% 18.89/19.06 cnf(4360,plain,
% 18.89/19.06 (~E(f46(f31(x43601),f41(f53(x43602,a1)),x43602),f46(f34(x43603,x43604),f41(f53(x43602,a1)),x43602))),
% 18.89/19.06 inference(scs_inference,[],[415,361,157,325,902,904,237,4195,194,4219,371,4166,256,4232,4249,4262,290,291,158,340,4184,141,341,265,321,174,4179,4288,4328,216,4207,229,4268,230,196,195,292,4285,231,4264,4312,172,4259,188,885,4163,4200,233,900,164,130,883,236,225,137,159,242,131,4028,3599,3929,4103,3878,3812,4111,3974,4296,1255,4009,4032,3832,3701,3910,3858,4324,3950,4060,4267,976,2389,2904,3921,4088,3918,4108,2883,3552,3611,3588,3616,2654,2495,2605,2986,2073,4183,2348,1137,4208,1139,4252,1145,4225,763,613,720,499,759,728,600,813,588,806,754,677,445,576,802,833,832,647,667,841,753,516,649,567,481,7,124,458,539,635,856,537,589,746,486,701,750,745,638,610,475,547,687,566,572,564,432,764,459,468,825,591,784,549,526,606,527,604,642,477,685,703,608,530,525,506,616,583,827,684,655,443,686,114,431,113,103,108,6,127,104,26])).
% 18.89/19.06 cnf(4372,plain,
% 18.89/19.06 (E(f29(f46(f28(x43721),x43722,a51)),f29(x43722))),
% 18.89/19.06 inference(rename_variables,[],[183])).
% 18.89/19.06 cnf(4386,plain,
% 18.89/19.06 (~P7(f45(a33,f45(a40,a26)),f23(f23(f14(a25,f3(a2)))),a51)),
% 18.89/19.06 inference(scs_inference,[],[415,361,157,4359,183,4372,184,325,902,904,237,4195,194,4219,4352,371,4166,256,4232,4249,4262,290,291,158,340,4184,141,341,265,321,4192,174,4179,4288,4328,4331,216,4207,229,4268,230,196,195,292,4285,231,4264,4312,172,4259,188,885,4163,4200,233,900,160,164,130,883,236,225,137,159,242,131,405,4028,3599,3929,4103,3878,3812,4111,3974,4296,1255,4009,4032,3832,3701,3499,3910,3858,4324,3950,4060,4267,976,2389,2904,3921,4088,3918,4108,2883,3552,3611,3588,3616,2654,2155,2495,2605,2986,2073,4183,2342,2348,2285,2346,1137,4208,1139,4252,1145,4225,763,613,720,499,759,728,600,813,588,806,754,677,445,576,802,833,832,647,667,841,753,516,649,567,481,7,124,458,539,635,856,537,589,746,486,701,750,745,638,610,475,547,687,566,572,564,432,764,459,468,825,591,784,549,526,606,527,604,642,477,685,703,608,530,525,506,616,583,827,684,655,443,686,114,431,113,103,108,6,127,104,26,116,109,107,105,126,3,2,844,710,500,496,494,503])).
% 18.89/19.06 cnf(4410,plain,
% 18.89/19.06 (P6(f19(f41(f53(x44101,a1)),x44102,x44101,x44101),f47(f19(f41(f53(x44101,a1)),x44102,x44101,x44101),f47(x44102,f41(f53(x44101,a1)),x44101,x44101),x44101,x44101),x44101,x44101)),
% 18.89/19.06 inference(scs_inference,[],[415,361,368,157,4359,183,4372,184,325,902,904,237,4195,194,4219,4352,371,4166,256,4232,4249,4262,290,291,158,340,4184,141,341,4203,265,321,4192,174,4179,4288,4328,4331,216,4207,229,4268,230,196,195,292,4285,231,4264,4312,172,4259,188,885,4163,4200,233,900,160,164,130,307,883,236,225,137,159,242,133,131,405,4028,3599,4041,3929,4103,3878,3812,4111,3974,4296,1523,1255,4009,4032,3832,3701,3499,3910,3858,4324,3950,4060,4267,976,2389,2904,3921,4088,4091,3918,4108,2883,3552,3611,3642,3588,3616,2654,1895,2155,2495,2605,908,2609,2986,2073,4183,2342,2348,2285,2346,1137,4208,1139,4252,1145,4225,161,763,613,720,499,759,728,600,813,588,806,754,677,445,576,802,833,832,647,667,841,753,516,649,567,481,7,124,458,539,635,856,537,589,746,486,701,750,745,638,610,475,547,687,566,572,564,432,764,459,468,825,591,784,549,526,606,527,604,642,477,685,703,608,530,525,506,616,583,827,684,655,443,686,114,431,113,103,108,6,127,104,26,116,109,107,105,126,3,2,844,710,500,496,494,503,755,769,729,492,727,762,854,862,756,860])).
% 18.89/19.06 cnf(4477,plain,
% 18.89/19.06 (E(x44771,f12(x44771,x44771,f53(x44772,a1)))),
% 18.89/19.06 inference(rename_variables,[],[2285])).
% 18.89/19.06 cnf(4484,plain,
% 18.89/19.06 (P9(f12(x44841,x44842,f53(x44843,a1)),x44841,f53(x44843,a1))),
% 18.89/19.06 inference(rename_variables,[],[232])).
% 18.89/19.06 cnf(4488,plain,
% 18.89/19.06 (~P6(f20(f43(f53(x44881,a1)),f44(x44882),x44881,x44883),f46(f45(f44(x44882),f45(f20(f43(f53(x44881,a1)),f44(x44882),x44881,x44883),f22(f45(f44(x44884),x44885)))),f46(f22(f45(f44(x44884),x44885)),x44886,x44887),x44887),x44887,x44888)),
% 18.89/19.06 inference(scs_inference,[],[386,232,887,167,377,3944,4058,3879,4168,3783,3869,3698,3647,3896,4041,2422,3476,906,2256,2285,161,590,548,854,855,759,122,668,676,813,734])).
% 18.89/19.06 cnf(4489,plain,
% 18.89/19.06 (E(f45(f20(f43(f53(x44891,a1)),f44(x44892),x44891,x44893),f45(f44(x44892),x44894)),x44894)),
% 18.89/19.06 inference(rename_variables,[],[2422])).
% 18.89/19.06 cnf(4490,plain,
% 18.89/19.06 (~E(f45(f44(x44901),x44902),f22(f45(f44(x44903),x44904)))),
% 18.89/19.06 inference(rename_variables,[],[386])).
% 18.89/19.06 cnf(4491,plain,
% 18.89/19.06 (P7(x44911,f46(x44911,x44912,x44913),x44914)),
% 18.89/19.06 inference(rename_variables,[],[887])).
% 18.89/19.06 cnf(4495,plain,
% 18.89/19.06 (P9(x44951,x44951,f53(x44952,a1))),
% 18.89/19.06 inference(rename_variables,[],[169])).
% 18.89/19.06 cnf(4498,plain,
% 18.89/19.06 (P6(x44981,f41(f53(x44982,a1)),x44982,x44983)),
% 18.89/19.06 inference(rename_variables,[],[242])).
% 18.89/19.06 cnf(4500,plain,
% 18.89/19.06 (P9(f12(x45001,x45002,f53(x45003,a1)),x45001,f53(x45003,a1))),
% 18.89/19.06 inference(rename_variables,[],[232])).
% 18.89/19.06 cnf(4503,plain,
% 18.89/19.06 (P6(x45031,f41(f53(x45032,a1)),x45032,x45033)),
% 18.89/19.06 inference(rename_variables,[],[242])).
% 18.89/19.06 cnf(4505,plain,
% 18.89/19.06 (P9(f12(x45051,x45052,f53(x45053,a1)),x45051,f53(x45053,a1))),
% 18.89/19.06 inference(rename_variables,[],[232])).
% 18.89/19.06 cnf(4517,plain,
% 18.89/19.06 (~P7(x45171,f24(f3(x45172),x45172),x45173)),
% 18.89/19.06 inference(rename_variables,[],[4358])).
% 18.89/19.06 cnf(4518,plain,
% 18.89/19.06 (P6(x45181,f24(f3(f24(f3(x45182),x45182)),f24(f3(x45182),x45182)),f24(f3(x45182),x45182),x45183)),
% 18.89/19.06 inference(rename_variables,[],[4350])).
% 18.89/19.06 cnf(4521,plain,
% 18.89/19.06 (P1(f53(x45211,a1))),
% 18.89/19.06 inference(rename_variables,[],[1145])).
% 18.89/19.06 cnf(4524,plain,
% 18.89/19.06 (P6(x45241,f41(f53(x45242,a1)),x45242,x45243)),
% 18.89/19.06 inference(rename_variables,[],[242])).
% 18.89/19.06 cnf(4526,plain,
% 18.89/19.06 (~P7(f31(x45261),f35(f27(f14(x45262,f3(a2)))),a51)),
% 18.89/19.06 inference(scs_inference,[],[415,241,320,386,232,4484,4500,887,169,216,404,164,167,242,4498,4503,377,4350,4358,3944,4058,3879,4168,3783,3869,3698,3647,3896,4041,2422,3476,906,2256,2285,1145,161,590,548,854,855,759,122,668,676,813,734,802,833,832,754,476,678,860,579,753,490])).
% 18.89/19.06 cnf(4531,plain,
% 18.89/19.06 (P7(x45311,f46(x45311,x45312,x45313),x45314)),
% 18.89/19.06 inference(rename_variables,[],[887])).
% 18.89/19.06 cnf(4538,plain,
% 18.89/19.06 (P1(f53(x45381,a1))),
% 18.89/19.06 inference(rename_variables,[],[1145])).
% 18.89/19.06 cnf(4559,plain,
% 18.89/19.06 (~P9(f14(a25,a54),f12(f12(x45591,f12(f12(f45(f18(x45592,x45593,f27(f41(f53(a51,a1))),x45594,x45595),x45593),x45596,f53(a51,a1)),x45597,f53(a51,a1)),f53(a51,a1)),x45598,f53(a51,a1)),f53(a51,a1))),
% 18.89/19.06 inference(rename_variables,[],[4310])).
% 18.89/19.06 cnf(4563,plain,
% 18.89/19.06 (P1(f53(x45631,a1))),
% 18.89/19.06 inference(rename_variables,[],[1145])).
% 18.89/19.06 cnf(4564,plain,
% 18.89/19.06 (P9(x45641,x45641,f53(x45642,a1))),
% 18.89/19.06 inference(rename_variables,[],[169])).
% 18.89/19.06 cnf(4567,plain,
% 18.89/19.06 (~P9(f11(f14(a25,a54),x45671,f53(a51,a1)),f12(f12(x45672,f12(x45673,f12(f45(f18(x45674,x45675,f27(f41(f53(a51,a1))),x45676,x45677),x45675),x45678,f53(a51,a1)),f53(a51,a1)),f53(a51,a1)),x45679,f53(a51,a1)),f53(a51,a1))),
% 18.89/19.06 inference(rename_variables,[],[3952])).
% 18.89/19.06 cnf(4568,plain,
% 18.89/19.06 (P11(f53(x45681,a1))),
% 18.89/19.06 inference(rename_variables,[],[1139])).
% 18.89/19.06 cnf(4569,plain,
% 18.89/19.06 (P9(f12(x45691,x45692,f53(x45693,a1)),x45691,f53(x45693,a1))),
% 18.89/19.06 inference(rename_variables,[],[232])).
% 18.89/19.06 cnf(4572,plain,
% 18.89/19.06 (P9(f12(x45721,x45722,f53(x45723,a1)),x45721,f53(x45723,a1))),
% 18.89/19.06 inference(rename_variables,[],[232])).
% 18.89/19.06 cnf(4575,plain,
% 18.89/19.06 (P11(f53(x45751,a1))),
% 18.89/19.06 inference(rename_variables,[],[1139])).
% 18.89/19.06 cnf(4593,plain,
% 18.89/19.06 (E(f45(x45931,f45(f20(a42,x45931,f50(a2),x45932),f45(x45931,a54))),f45(x45931,a54))),
% 18.89/19.06 inference(rename_variables,[],[3970])).
% 18.89/19.06 cnf(4596,plain,
% 18.89/19.06 (P7(x45961,f27(f46(f30(x45962,f34(x45963,x45961)),x45964,a51)),a51)),
% 18.89/19.06 inference(rename_variables,[],[3636])).
% 18.89/19.06 cnf(4609,plain,
% 18.89/19.06 (P7(x46091,f27(f46(f30(x46092,f34(x46093,x46091)),x46094,a51)),a51)),
% 18.89/19.06 inference(rename_variables,[],[3636])).
% 18.89/19.06 cnf(4611,plain,
% 18.89/19.06 (~P9(f14(a25,a54),f12(x46111,f12(f12(x46112,f12(f12(f45(f18(x46113,x46114,f27(f41(f53(a51,a1))),x46115,x46116),x46114),x46117,f53(a51,a1)),x46118,f53(a51,a1)),f53(a51,a1)),x46119,f53(a51,a1)),f53(a51,a1)),f53(a51,a1))),
% 18.89/19.06 inference(scs_inference,[],[415,363,241,320,386,904,254,264,139,232,4484,4500,4505,4569,887,4491,169,4495,4564,216,229,188,404,164,167,883,242,4498,4503,377,3823,4350,4358,4310,4559,3952,4567,3995,3945,4245,4295,3944,4058,3990,4256,4357,3879,4168,3523,3623,4254,2826,3783,3869,3538,3698,3647,3896,3636,4596,1271,4041,4111,2868,3970,3585,2422,3476,906,2256,2285,1135,1139,4568,1145,4521,4538,4563,161,590,548,854,855,759,122,668,676,813,734,802,833,832,754,476,678,860,579,753,490,649,667,516,674,481,567,458,539,856,537,746,701,635,638,589,610,475,486,687,572,564,745,432,764,784,549,566,547,526,604])).
% 18.89/19.06 cnf(4612,plain,
% 18.89/19.06 (P1(f53(x46121,a1))),
% 18.89/19.06 inference(rename_variables,[],[1145])).
% 18.89/19.06 cnf(4650,plain,
% 18.89/19.06 (P9(f23(f46(f30(x46501,x46502),x46503,a51)),f46(f30(x46501,x46502),f23(f46(x46502,x46503,a51)),a51),f53(a51,a1))),
% 18.89/19.06 inference(rename_variables,[],[320])).
% 18.89/19.06 cnf(4660,plain,
% 18.89/19.06 (E(f45(x46601,f45(f20(a42,x46601,f50(a2),x46602),f45(x46601,a54))),f45(x46601,a54))),
% 18.89/19.07 inference(rename_variables,[],[3970])).
% 18.89/19.07 cnf(4671,plain,
% 18.89/19.07 (P7(f29(x46711),f46(f29(f46(f32(x46712),x46711,a51)),x46713,x46714),x46715)),
% 18.89/19.07 inference(scs_inference,[],[415,363,185,253,241,881,320,386,291,904,254,264,139,232,4484,4500,4505,4569,4572,887,4491,4531,169,4495,4564,216,229,188,404,164,167,883,242,4498,4503,405,377,3823,4350,4358,4310,4559,3952,4567,3995,3945,4245,4295,4317,3944,4058,4003,3990,4256,4357,3879,4168,4323,4287,3523,3623,4254,2826,3783,3941,3869,3538,3698,1363,3647,3896,3636,4596,4609,1271,4041,4111,2868,3970,4593,4660,3585,2422,3476,906,2256,2285,1135,1139,4568,4575,1145,4521,4538,4563,4612,161,590,548,854,855,759,122,668,676,813,734,802,833,832,754,476,678,860,579,753,490,649,667,516,674,481,567,458,539,856,537,746,701,635,638,589,610,475,486,687,572,564,745,432,764,784,549,566,547,526,604,527,477,642,703,606,608,591,468,506,825,459,685,530,616,525,583,827,686,684,443,431,655,114,113,103])).
% 18.89/19.07 cnf(4672,plain,
% 18.89/19.07 (P7(x46721,f46(x46721,x46722,x46723),x46724)),
% 18.89/19.07 inference(rename_variables,[],[887])).
% 18.89/19.07 cnf(4674,plain,
% 18.89/19.07 (P9(f24(x46741,x46742),f24(f21(x46743,x46741,x46742),x46742),f53(x46742,a1))),
% 18.89/19.07 inference(rename_variables,[],[256])).
% 18.89/19.07 cnf(4681,plain,
% 18.89/19.07 (~P7(x46811,f41(f53(x46812,a1)),x46813)),
% 18.89/19.07 inference(rename_variables,[],[885])).
% 18.89/19.07 cnf(4683,plain,
% 18.89/19.07 (P9(f23(f46(f30(x46831,x46832),x46833,a51)),f46(f30(x46831,x46832),f23(f46(x46832,x46833,a51)),a51),f53(a51,a1))),
% 18.89/19.07 inference(rename_variables,[],[320])).
% 18.89/19.07 cnf(4689,plain,
% 18.89/19.07 (~E(f21(x46891,x46892,x46893),x46892)),
% 18.89/19.07 inference(rename_variables,[],[382])).
% 18.89/19.07 cnf(4704,plain,
% 18.89/19.07 (~P9(f21(x47041,f41(f53(x47042,a1)),x47043),f41(f53(x47042,a1)),f53(x47042,a1))),
% 18.89/19.07 inference(rename_variables,[],[897])).
% 18.89/19.07 cnf(4720,plain,
% 18.89/19.07 (~P7(x47201,f41(f53(x47202,a1)),x47203)),
% 18.89/19.07 inference(rename_variables,[],[885])).
% 18.89/19.07 cnf(4773,plain,
% 18.89/19.07 (~P7(x47731,f24(f3(x47732),x47732),x47733)),
% 18.89/19.07 inference(rename_variables,[],[4358])).
% 18.89/19.07 cnf(4779,plain,
% 18.89/19.07 (~P7(a58,f12(f47(a40,f43(f53(a49,a1)),a49,a52),x47791,f53(a52,a1)),a52)),
% 18.89/19.07 inference(scs_inference,[],[415,363,185,253,246,398,241,191,170,881,320,4650,4683,386,4490,192,897,256,4674,375,291,904,889,254,264,139,232,4484,4500,4505,4569,4572,887,4491,4531,169,4495,4564,216,229,189,188,885,4681,4720,382,4689,249,404,164,130,307,167,883,137,242,4498,4503,4524,405,377,3823,4350,4518,4358,4517,4220,4310,4559,3952,4567,3995,3945,4245,4197,4295,4410,4159,4360,4317,3944,4058,3672,4155,4003,4355,4099,3990,4256,4357,3879,4168,4239,4323,4287,3523,3623,4254,4300,2826,3783,3941,3827,3869,3538,3698,1363,3647,3896,3636,4596,4609,1271,4041,4111,2868,3970,4593,4660,3585,2899,2422,4489,2425,3662,3476,906,2256,2348,2285,4477,1135,2346,2338,1139,4568,4575,1145,4521,4538,4563,4612,161,590,548,854,855,759,122,668,676,813,734,802,833,832,754,476,678,860,579,753,490,649,667,516,674,481,567,458,539,856,537,746,701,635,638,589,610,475,486,687,572,564,745,432,764,784,549,566,547,526,604,527,477,642,703,606,608,591,468,506,825,459,685,530,616,525,583,827,686,684,443,431,655,114,113,103,108,6,26,116,127,104,107,105,109,3,126,2,844,858,454,538,670,614,712,853,461,602,726,775,483,841,479,442,544,709,679,628,849,706,811,763,464,664,623,621,447,629,437,418,417,520,778,534,597,659])).
% 18.89/19.07 cnf(4817,plain,
% 18.89/19.07 (P10(f53(x48171,f53(x48172,a1)))),
% 18.89/19.07 inference(scs_inference,[],[415,363,185,253,246,398,241,191,170,143,881,320,4650,4683,386,4490,192,897,146,256,4674,375,291,904,889,254,264,139,232,4484,4500,4505,4569,4572,887,4491,4531,169,4495,4564,216,229,189,188,885,4681,4720,382,4689,249,404,164,130,307,167,883,137,133,242,4498,4503,4524,405,377,3823,4350,4518,4358,4517,4220,4310,4559,3952,4567,3995,3945,4245,4197,4295,4410,4159,4360,4317,3944,4058,3672,4155,4003,4355,4099,3990,4256,4357,3879,4386,4168,4239,4323,4287,3523,3623,4254,4300,2826,3783,3941,3827,3869,3538,3698,1363,3647,3896,3636,4596,4609,1271,4041,4111,2868,1127,3970,4593,4660,3585,2899,2422,4489,2425,3662,3476,906,2256,1131,2348,2285,4477,1135,2346,2573,2338,1139,4568,4575,1145,4521,4538,4563,4612,161,590,548,854,855,759,122,668,676,813,734,802,833,832,754,476,678,860,579,753,490,649,667,516,674,481,567,458,539,856,537,746,701,635,638,589,610,475,486,687,572,564,745,432,764,784,549,566,547,526,604,527,477,642,703,606,608,591,468,506,825,459,685,530,616,525,583,827,686,684,443,431,655,114,113,103,108,6,26,116,127,104,107,105,109,3,126,2,844,858,454,538,670,614,712,853,461,602,726,775,483,841,479,442,544,709,679,628,849,706,811,763,464,664,623,621,447,629,437,418,417,520,778,534,597,659,487,531,574,498,561,444,497,495,430,429,427,422,524,456,541,540,798,690,428])).
% 18.89/19.07 cnf(4819,plain,
% 18.89/19.07 (P12(f53(x48191,a52))),
% 18.89/19.07 inference(scs_inference,[],[415,363,185,253,246,398,241,191,170,143,881,320,4650,4683,386,4490,192,897,146,256,4674,375,291,904,889,254,264,139,232,4484,4500,4505,4569,4572,887,4491,4531,169,4495,4564,216,229,189,188,885,4681,4720,382,4689,249,404,164,130,307,167,883,137,133,242,4498,4503,4524,405,377,3823,4350,4518,4358,4517,4220,4310,4559,3952,4567,3995,3945,4245,4197,4295,4410,4159,4360,4317,3944,4058,3672,4155,4003,4355,4099,3990,4256,4357,3879,4386,4168,4239,4323,4287,3523,3623,4254,4300,2826,3783,3941,3827,3869,3538,3698,1363,3647,3896,3636,4596,4609,1271,4041,4111,2868,1127,3970,4593,4660,3585,2899,2422,4489,2425,3662,3476,906,2256,1131,2348,2285,4477,1135,2346,2573,2338,1139,4568,4575,1145,4521,4538,4563,4612,161,590,548,854,855,759,122,668,676,813,734,802,833,832,754,476,678,860,579,753,490,649,667,516,674,481,567,458,539,856,537,746,701,635,638,589,610,475,486,687,572,564,745,432,764,784,549,566,547,526,604,527,477,642,703,606,608,591,468,506,825,459,685,530,616,525,583,827,686,684,443,431,655,114,113,103,108,6,26,116,127,104,107,105,109,3,126,2,844,858,454,538,670,614,712,853,461,602,726,775,483,841,479,442,544,709,679,628,849,706,811,763,464,664,623,621,447,629,437,418,417,520,778,534,597,659,487,531,574,498,561,444,497,495,430,429,427,422,524,456,541,540,798,690,428,425])).
% 18.89/19.07 cnf(4840,plain,
% 18.89/19.07 (P7(f34(f28(x48401),f28(x48401)),f35(x48402),a51)),
% 18.89/19.07 inference(rename_variables,[],[3739])).
% 18.89/19.07 cnf(4876,plain,
% 18.89/19.07 (~P7(f34(x48761,f34(x48762,f30(x48763,x48764))),f13(f3(a2)),a51)),
% 18.89/19.07 inference(scs_inference,[],[415,363,185,253,246,398,241,191,170,143,881,320,4650,4683,386,4490,192,897,146,256,4674,375,291,904,889,254,264,139,232,4484,4500,4505,4569,4572,887,4491,4531,169,4495,4564,248,216,229,189,135,188,885,4681,4720,382,4689,249,399,404,164,130,307,167,883,137,133,242,4498,4503,4524,405,377,3823,4350,4518,4358,4517,4220,4310,4559,3952,4567,3995,3945,4245,4197,4295,4410,4159,4360,4317,3944,4058,3672,4155,4003,4355,4099,3990,4256,4357,3879,4386,4168,4239,4323,4287,3523,3623,4254,4300,2826,3783,3941,3827,3869,3538,3698,1363,3647,3896,3636,4596,4609,2808,1271,4041,4111,2868,1127,3970,4593,4660,3585,2899,2422,4489,2425,3662,3739,3476,906,2256,1131,2348,2342,2285,4477,1135,2346,2553,2573,2338,1139,4568,4575,1145,4521,4538,4563,4612,161,590,548,854,855,759,122,668,676,813,734,802,833,832,754,476,678,860,579,753,490,649,667,516,674,481,567,458,539,856,537,746,701,635,638,589,610,475,486,687,572,564,745,432,764,784,549,566,547,526,604,527,477,642,703,606,608,591,468,506,825,459,685,530,616,525,583,827,686,684,443,431,655,114,113,103,108,6,26,116,127,104,107,105,109,3,126,2,844,858,454,538,670,614,712,853,461,602,726,775,483,841,479,442,544,709,679,628,849,706,811,763,464,664,623,621,447,629,437,418,417,520,778,534,597,659,487,531,574,498,561,444,497,495,430,429,427,422,524,456,541,540,798,690,428,425,467,465,450,448,840,716,555,522,870,632,626,622,563,768,683,681,612,705,867,502,501,554,627,625,441,449,424,521])).
% 18.89/19.07 cnf(4972,plain,
% 18.89/19.07 (P9(f35(f23(f23(f46(f30(x49721,x49722),x49723,a51)))),f35(f23(f46(f30(x49721,x49722),f23(f46(x49722,x49723,a51)),a51))),f53(a51,a1))),
% 18.89/19.07 inference(scs_inference,[],[415,363,185,253,246,416,398,241,191,170,143,881,320,4650,4683,386,4490,192,897,4704,146,256,4674,375,291,904,889,141,254,264,139,232,4484,4500,4505,4569,4572,887,4491,4531,4672,169,4495,4564,248,216,229,189,135,188,885,4681,4720,385,382,4689,249,399,404,164,130,307,167,236,883,137,133,242,4498,4503,4524,405,377,3823,4350,4518,4358,4517,4773,4220,4310,4559,3952,4567,3995,3945,4245,4197,4295,4410,4159,4360,4317,3944,4058,3672,4155,4003,4355,4099,3990,4256,4357,3879,4386,4161,4168,4239,4323,4287,3523,3623,4254,4300,2826,3783,3941,3827,3869,3538,3698,1363,3647,3896,3636,4596,4609,2808,1271,4041,4111,2868,1127,3970,4593,4660,3585,2899,2422,4489,2425,3662,3739,4840,3476,906,2256,1131,1117,2348,2342,2285,4477,1135,2346,2553,2573,2338,1139,4568,4575,1145,4521,4538,4563,4612,161,590,548,854,855,759,122,668,676,813,734,802,833,832,754,476,678,860,579,753,490,649,667,516,674,481,567,458,539,856,537,746,701,635,638,589,610,475,486,687,572,564,745,432,764,784,549,566,547,526,604,527,477,642,703,606,608,591,468,506,825,459,685,530,616,525,583,827,686,684,443,431,655,114,113,103,108,6,26,116,127,104,107,105,109,3,126,2,844,858,454,538,670,614,712,853,461,602,726,775,483,841,479,442,544,709,679,628,849,706,811,763,464,664,623,621,447,629,437,418,417,520,778,534,597,659,487,531,574,498,561,444,497,495,430,429,427,422,524,456,541,540,798,690,428,425,467,465,450,448,840,716,555,522,870,632,626,622,563,768,683,681,612,705,867,502,501,554,627,625,441,449,424,521,511,509,420,662,508,507,438,470,519,758,773,772,473,596,752,648,669,598,658,419,504,472,714,688,650,518,795,452,493,423,18,523,797,810,426,97,94,90,84,83,79,74,72,70,66,65,63,58,45,44,35,33,32,20,19,838,562])).
% 18.89/19.07 cnf(4976,plain,
% 18.89/19.07 (~P7(f16(x49761,x49762,f30(x49763,f34(x49764,f34(x49765,f34(x49766,f34(x49767,f45(a33,a56))))))),f24(a54,a2),a2)),
% 18.89/19.07 inference(scs_inference,[],[415,363,185,253,246,416,398,241,191,170,143,881,320,4650,4683,386,4490,192,897,4704,146,256,4674,375,291,904,889,141,254,264,139,232,4484,4500,4505,4569,4572,887,4491,4531,4672,169,4495,4564,248,216,229,189,135,188,885,4681,4720,385,382,4689,249,399,404,164,130,307,167,236,883,137,133,242,4498,4503,4524,405,377,3823,4350,4518,4358,4517,4773,4220,4310,4559,3952,4567,3995,3945,4245,4197,4295,4410,4159,4360,4317,3944,4058,3672,4155,4003,4355,4099,3990,4256,4357,3879,4386,4161,4168,4239,4323,4287,3523,3623,4254,4300,2826,3783,3941,3827,3869,3538,3698,1363,3647,3896,3636,4596,4609,2808,1271,4041,4111,2868,1127,3970,4593,4660,3585,2899,2422,4489,2425,3662,3739,4840,3476,906,2256,1131,1117,2348,2342,2285,4477,1135,2346,2553,2573,2338,1139,4568,4575,1145,4521,4538,4563,4612,161,590,548,854,855,759,122,668,676,813,734,802,833,832,754,476,678,860,579,753,490,649,667,516,674,481,567,458,539,856,537,746,701,635,638,589,610,475,486,687,572,564,745,432,764,784,549,566,547,526,604,527,477,642,703,606,608,591,468,506,825,459,685,530,616,525,583,827,686,684,443,431,655,114,113,103,108,6,26,116,127,104,107,105,109,3,126,2,844,858,454,538,670,614,712,853,461,602,726,775,483,841,479,442,544,709,679,628,849,706,811,763,464,664,623,621,447,629,437,418,417,520,778,534,597,659,487,531,574,498,561,444,497,495,430,429,427,422,524,456,541,540,798,690,428,425,467,465,450,448,840,716,555,522,870,632,626,622,563,768,683,681,612,705,867,502,501,554,627,625,441,449,424,521,511,509,420,662,508,507,438,470,519,758,773,772,473,596,752,648,669,598,658,419,504,472,714,688,650,518,795,452,493,423,18,523,797,810,426,97,94,90,84,83,79,74,72,70,66,65,63,58,45,44,35,33,32,20,19,838,562,819,809])).
% 18.89/19.07 cnf(5034,plain,
% 18.89/19.07 (P9(f12(x50341,x50342,f53(x50343,a1)),x50342,f53(x50343,a1))),
% 18.89/19.07 inference(rename_variables,[],[231])).
% 18.89/19.07 cnf(5054,plain,
% 18.89/19.07 (P9(f12(x50541,x50542,f53(x50543,a1)),x50542,f53(x50543,a1))),
% 18.89/19.07 inference(rename_variables,[],[231])).
% 18.89/19.07 cnf(5064,plain,
% 18.89/19.07 (~P7(f31(x50641),f35(f27(f14(x50642,f3(a2)))),a51)),
% 18.89/19.07 inference(rename_variables,[],[4526])).
% 18.89/19.07 cnf(5083,plain,
% 18.89/19.07 ($false),
% 18.89/19.07 inference(scs_inference,[],[364,256,265,906,897,174,231,5034,5054,189,382,377,4611,3729,4488,4671,4972,4817,4819,4976,4526,5064,4876,4779,2674,2375,1866,1145,161,575,590,538,439,548,855,462,532,535,676,602,813,587,586,476,753,483,674,667]),
% 18.89/19.07 ['proof']).
% 18.89/19.07 % SZS output end Proof
% 18.89/19.07 % Total time :18.080000s
%------------------------------------------------------------------------------