TSTP Solution File: SWV795-1 by CSE---1.6
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : CSE---1.6
% Problem : SWV795-1 : 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 : n011.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 21:35:15 EDT 2023
% Result : Unsatisfiable 31.50s 31.50s
% Output : CNFRefutation 31.65s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.12 % Problem : SWV795-1 : TPTP v8.1.2. Released v4.1.0.
% 0.08/0.13 % Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %s %d
% 0.12/0.34 % Computer : n011.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 300
% 0.12/0.34 % DateTime : Tue Aug 29 03:13:26 EDT 2023
% 0.12/0.34 % CPUTime :
% 0.19/0.56 start to proof:theBenchmark
% 31.38/31.46 %-------------------------------------------
% 31.38/31.46 % File :CSE---1.6
% 31.38/31.46 % Problem :theBenchmark
% 31.38/31.46 % Transform :cnf
% 31.38/31.46 % Format :tptp:raw
% 31.38/31.46 % Command :java -jar mcs_scs.jar %d %s
% 31.38/31.46
% 31.38/31.46 % Result :Theorem 30.650000s
% 31.38/31.46 % Output :CNFRefutation 30.650000s
% 31.38/31.46 %-------------------------------------------
% 31.38/31.46 %------------------------------------------------------------------------------
% 31.38/31.46 % File : SWV795-1 : TPTP v8.1.2. Released v4.1.0.
% 31.38/31.46 % Domain : Software Verification
% 31.38/31.46 % Problem : Needham-Schroeder shared-key protocol 470_1
% 31.38/31.46 % Version : Especial.
% 31.38/31.46 % English :
% 31.38/31.46
% 31.38/31.46 % Refs : [BAN89] Burrows et al. (1989), A Logic of Authentication
% 31.38/31.46 % : [Nip10] Nipkow (2010), Email to Geoff Sutcliffe
% 31.38/31.46 % : [BN10] Boehme & Nipkow (2010), Sledgehammer: Judgement Day
% 31.38/31.46 % Source : [Nip10]
% 31.38/31.46 % Names : NS_Shared-470_1 [Nip10]
% 31.38/31.46
% 31.38/31.46 % Status : Unsatisfiable
% 31.38/31.46 % Rating : 0.29 v8.1.0, 0.26 v7.4.0, 0.24 v7.3.0, 0.25 v7.1.0, 0.17 v7.0.0, 0.33 v6.3.0, 0.27 v6.2.0, 0.40 v6.1.0, 0.43 v6.0.0, 0.40 v5.5.0, 0.75 v5.3.0, 0.78 v5.2.0, 0.69 v5.1.0, 0.71 v4.1.0
% 31.38/31.46 % Syntax : Number of clauses : 622 ( 272 unt; 66 nHn; 369 RR)
% 31.38/31.46 % Number of literals : 1193 ( 354 equ; 578 neg)
% 31.38/31.46 % Maximal clause size : 7 ( 1 avg)
% 31.38/31.46 % Maximal term depth : 11 ( 2 avg)
% 31.38/31.46 % Number of predicates : 15 ( 14 usr; 0 prp; 1-4 aty)
% 31.38/31.46 % Number of functors : 66 ( 66 usr; 24 con; 0-4 aty)
% 31.38/31.46 % Number of variables : 1865 ( 541 sgn)
% 31.38/31.46 % SPC : CNF_UNS_RFO_SEQ_NHN
% 31.38/31.46
% 31.38/31.46 % Comments :
% 31.38/31.46 %------------------------------------------------------------------------------
% 31.38/31.46 cnf(cls_Fake__parts__sing_0,axiom,
% 31.38/31.46 ( 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))
% 31.38/31.46 | ~ hBOOL(c_in(V_X,c_Message_Osynth(c_Message_Oanalz(V_H)),tc_Message_Omsg)) ) ).
% 31.38/31.46
% 31.38/31.46 cnf(cls_used__Notes_0,axiom,
% 31.38/31.46 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)) ).
% 31.38/31.46
% 31.38/31.46 cnf(cls_used__Says_0,axiom,
% 31.38/31.46 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)) ).
% 31.38/31.46
% 31.38/31.46 cnf(cls_Issues__def_1,axiom,
% 31.38/31.46 ( hBOOL(c_in(V_X,c_Message_Oparts(c_Set_Oinsert(v_sko__NS__Shared__Mirabelle__XIssues__def__1(V_A,V_B,V_X,V_evs),c_Orderings_Obot__class_Obot(tc_fun(tc_Message_Omsg,tc_bool)),tc_Message_Omsg)),tc_Message_Omsg))
% 31.38/31.46 | ~ c_NS__Shared__Mirabelle_OIssues(V_A,V_B,V_X,V_evs) ) ).
% 31.38/31.46
% 31.38/31.46 cnf(cls_Fake__parts__sing__imp__Un_0,axiom,
% 31.38/31.46 ( hBOOL(c_in(V_c,c_Lattices_Oupper__semilattice__class_Osup(c_Message_Osynth(c_Message_Oanalz(V_H)),c_Message_Oparts(V_H),tc_fun(tc_Message_Omsg,tc_bool)),tc_Message_Omsg))
% 31.38/31.46 | ~ hBOOL(c_in(V_X,c_Message_Osynth(c_Message_Oanalz(V_H)),tc_Message_Omsg))
% 31.38/31.46 | ~ hBOOL(c_in(V_c,c_Message_Oparts(c_Set_Oinsert(V_X,c_Orderings_Obot__class_Obot(tc_fun(tc_Message_Omsg,tc_bool)),tc_Message_Omsg)),tc_Message_Omsg)) ) ).
% 31.38/31.46
% 31.38/31.46 cnf(cls_analz__empty_0,axiom,
% 31.38/31.47 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)) ).
% 31.38/31.47
% 31.38/31.47 cnf(cls_parts__empty_0,axiom,
% 31.38/31.47 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)) ).
% 31.38/31.47
% 31.38/31.47 cnf(cls_bex__empty_0,axiom,
% 31.38/31.47 ( ~ hBOOL(hAPP(V_P,V_x))
% 31.38/31.47 | ~ hBOOL(c_in(V_x,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a)) ) ).
% 31.38/31.47
% 31.38/31.47 cnf(cls_emptyE_0,axiom,
% 31.38/31.47 ~ hBOOL(c_in(V_a,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a)) ).
% 31.38/31.47
% 31.38/31.47 cnf(cls_empty__iff_0,axiom,
% 31.38/31.47 ~ hBOOL(c_in(V_c,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a)) ).
% 31.38/31.47
% 31.38/31.47 cnf(cls_ball__empty_0,axiom,
% 31.38/31.47 ( hBOOL(hAPP(V_P,V_x))
% 31.38/31.47 | ~ hBOOL(c_in(V_x,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a)) ) ).
% 31.38/31.47
% 31.38/31.47 cnf(cls_ex__in__conv_0,axiom,
% 31.38/31.47 ~ hBOOL(c_in(V_x,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a)) ).
% 31.38/31.47
% 31.38/31.47 cnf(cls_empty__is__image_1,axiom,
% 31.38/31.47 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) ).
% 31.38/31.47
% 31.38/31.47 cnf(cls_insert__is__Un_0,axiom,
% 31.38/31.47 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)) ).
% 31.38/31.47
% 31.38/31.47 cnf(cls_sup__eq__bot__eq2_0,axiom,
% 31.38/31.47 ( ~ class_Lattices_Obounded__lattice(T_a)
% 31.38/31.47 | c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,T_a) != c_Orderings_Obot__class_Obot(T_a)
% 31.38/31.47 | V_B = c_Orderings_Obot__class_Obot(T_a) ) ).
% 31.38/31.47
% 31.38/31.47 cnf(cls_sup__eq__bot__eq1_0,axiom,
% 31.38/31.47 ( ~ class_Lattices_Obounded__lattice(T_a)
% 31.38/31.47 | c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,T_a) != c_Orderings_Obot__class_Obot(T_a)
% 31.38/31.47 | V_A = c_Orderings_Obot__class_Obot(T_a) ) ).
% 31.38/31.47
% 31.38/31.47 cnf(cls_Un__empty_0,axiom,
% 31.38/31.47 ( 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))
% 31.38/31.47 | V_A = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)) ) ).
% 31.38/31.47
% 31.38/31.47 cnf(cls_Un__empty_1,axiom,
% 31.38/31.47 ( 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))
% 31.38/31.47 | V_B = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)) ) ).
% 31.38/31.47
% 31.38/31.47 cnf(cls_comm__monoid__add_Ononempty__iff_2,axiom,
% 31.38/31.47 ( c_Set_Oinsert(V_x,V_xa,T_a) != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))
% 31.38/31.47 | hBOOL(c_in(V_x,V_xa,T_a)) ) ).
% 31.38/31.47
% 31.38/31.47 cnf(cls_singleton__inject_0,axiom,
% 31.38/31.47 ( 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)
% 31.38/31.47 | V_a = V_b ) ).
% 31.38/31.47
% 31.38/31.47 cnf(cls_image__empty_0,axiom,
% 31.38/31.47 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)) ).
% 31.38/31.47
% 31.38/31.47 cnf(cls_doubleton__eq__iff_4,axiom,
% 31.38/31.47 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) ).
% 31.38/31.47
% 31.38/31.47 cnf(cls_parts__insert2_0,axiom,
% 31.38/31.47 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)) ).
% 31.38/31.47
% 31.38/31.47 cnf(cls_set__empty_1,axiom,
% 31.38/31.47 c_List_Oset(c_List_Olist_ONil(T_a),T_a) = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)) ).
% 31.38/31.47
% 31.38/31.47 cnf(cls_singletonE_0,axiom,
% 31.38/31.47 ( V_b = V_a
% 31.38/31.47 | ~ hBOOL(c_in(V_b,c_Set_Oinsert(V_a,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),T_a)) ) ).
% 31.38/31.47
% 31.38/31.47 cnf(cls_bot__fun__eq_0,axiom,
% 31.38/31.47 ( ~ class_Orderings_Obot(T_b)
% 31.38/31.47 | hAPP(c_Orderings_Obot__class_Obot(tc_fun(t_a,T_b)),v_x) = c_Orderings_Obot__class_Obot(T_b) ) ).
% 31.38/31.47
% 31.38/31.47 cnf(cls_empty__is__image_0,axiom,
% 31.38/31.47 ( c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)) != c_Set_Oimage(V_f,V_A,T_b,T_a)
% 31.38/31.47 | V_A = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_bool)) ) ).
% 31.38/31.47
% 31.38/31.47 cnf(cls_empty__subsetI_0,axiom,
% 31.38/31.47 c_lessequals(c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),V_A,tc_fun(T_a,tc_bool)) ).
% 31.38/31.47
% 31.38/31.47 cnf(cls_bot__least_0,axiom,
% 31.38/31.47 ( ~ class_Orderings_Obot(T_a)
% 31.38/31.47 | c_lessequals(c_Orderings_Obot__class_Obot(T_a),V_x,T_a) ) ).
% 31.38/31.47
% 31.38/31.47 cnf(cls_insert__not__empty_0,axiom,
% 31.38/31.47 c_Set_Oinsert(V_a,V_A,T_a) != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)) ).
% 31.38/31.47
% 31.38/31.47 cnf(cls_set__empty2_0,axiom,
% 31.38/31.47 ( c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)) != c_List_Oset(V_xs,T_a)
% 31.38/31.47 | V_xs = c_List_Olist_ONil(T_a) ) ).
% 31.38/31.47
% 31.38/31.47 cnf(cls_sup__bot__right_0,axiom,
% 31.38/31.47 ( ~ class_Lattices_Obounded__lattice(T_a)
% 31.38/31.47 | c_Lattices_Oupper__semilattice__class_Osup(V_x,c_Orderings_Obot__class_Obot(T_a),T_a) = V_x ) ).
% 31.38/31.47
% 31.38/31.47 cnf(cls_sup__bot__left_0,axiom,
% 31.38/31.47 ( ~ class_Lattices_Obounded__lattice(T_a)
% 31.38/31.47 | c_Lattices_Oupper__semilattice__class_Osup(c_Orderings_Obot__class_Obot(T_a),V_x,T_a) = V_x ) ).
% 31.38/31.47
% 31.38/31.47 cnf(cls_Un__empty__left_0,axiom,
% 31.38/31.47 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 ).
% 31.38/31.47
% 31.38/31.47 cnf(cls_Un__empty__right_0,axiom,
% 31.38/31.47 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 ).
% 31.38/31.47
% 31.38/31.47 cnf(cls_bot1E_0,axiom,
% 31.38/31.47 ~ hBOOL(hAPP(c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),V_x)) ).
% 31.38/31.47
% 31.38/31.47 cnf(cls_UNIV__not__empty_0,axiom,
% 31.38/31.47 c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_bool)) != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)) ).
% 31.38/31.47
% 31.38/31.47 cnf(cls_doubleton__eq__iff_0,axiom,
% 31.38/31.47 ( 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)
% 31.38/31.47 | V_a = V_d
% 31.38/31.47 | V_a = V_c ) ).
% 31.38/31.47
% 31.38/31.47 cnf(cls_doubleton__eq__iff_1,axiom,
% 31.38/31.47 ( 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)
% 31.38/31.47 | V_b = V_c
% 31.38/31.47 | V_a = V_c ) ).
% 31.38/31.47
% 31.38/31.47 cnf(cls_doubleton__eq__iff_2,axiom,
% 31.38/31.47 ( 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)
% 31.38/31.47 | V_a = V_d
% 31.38/31.47 | V_b = V_d ) ).
% 31.38/31.47
% 31.38/31.47 cnf(cls_doubleton__eq__iff_3,axiom,
% 31.38/31.47 ( 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)
% 31.38/31.47 | V_b = V_c
% 31.38/31.47 | V_b = V_d ) ).
% 31.38/31.47
% 31.38/31.47 cnf(cls_bot__empty__eq_0,axiom,
% 31.38/31.47 hAPP(c_Orderings_Obot__class_Obot(tc_fun(t_a,tc_bool)),v_x) = c_in(v_x,c_Orderings_Obot__class_Obot(tc_fun(t_a,tc_bool)),t_a) ).
% 31.38/31.47
% 31.38/31.47 cnf(cls_subset__empty_0,axiom,
% 31.38/31.47 ( V_A = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))
% 31.38/31.47 | ~ c_lessequals(V_A,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)) ) ).
% 31.38/31.47
% 31.38/31.47 cnf(cls_subset__empty_1,axiom,
% 31.38/31.47 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)) ).
% 31.38/31.47
% 31.38/31.47 cnf(cls_empty__not__insert_0,axiom,
% 31.38/31.47 c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)) != c_Set_Oinsert(V_a,V_A,T_a) ).
% 31.38/31.47
% 31.38/31.47 cnf(cls_set__empty2_1,axiom,
% 31.38/31.47 c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)) = c_List_Oset(c_List_Olist_ONil(T_a),T_a) ).
% 31.38/31.47
% 31.38/31.47 cnf(cls_image__is__empty_0,axiom,
% 31.38/31.47 ( c_Set_Oimage(V_f,V_A,T_b,T_a) != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))
% 31.38/31.47 | V_A = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_bool)) ) ).
% 31.38/31.47
% 31.38/31.47 cnf(cls_parts__insert_0,axiom,
% 31.38/31.47 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)) ).
% 31.38/31.47
% 31.38/31.47 cnf(cls_singleton__iff_1,axiom,
% 31.38/31.47 hBOOL(c_in(V_x,c_Set_Oinsert(V_x,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),T_a)) ).
% 31.38/31.47
% 31.38/31.47 cnf(cls_subset__singletonD_0,axiom,
% 31.38/31.47 ( V_A = c_Set_Oinsert(V_x,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a)
% 31.38/31.47 | V_A = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))
% 31.38/31.47 | ~ 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)) ) ).
% 31.38/31.47
% 31.38/31.47 cnf(cls_Un__empty_2,axiom,
% 31.38/31.47 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)) ).
% 31.38/31.47
% 31.38/31.47 cnf(cls_set__empty_0,axiom,
% 31.38/31.47 ( c_List_Oset(V_xs,T_a) != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))
% 31.38/31.47 | V_xs = c_List_Olist_ONil(T_a) ) ).
% 31.38/31.47
% 31.38/31.47 cnf(cls_parts__emptyE_0,axiom,
% 31.38/31.47 ~ hBOOL(c_in(V_X,c_Message_Oparts(c_Orderings_Obot__class_Obot(tc_fun(tc_Message_Omsg,tc_bool))),tc_Message_Omsg)) ).
% 31.38/31.47
% 31.38/31.47 cnf(cls_parts__insert__knows__A_0,axiom,
% 31.38/31.47 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)) ).
% 31.38/31.47
% 31.38/31.47 cnf(cls_parts__insert__spies_0,axiom,
% 31.38/31.47 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)) ).
% 31.38/31.47
% 31.38/31.47 cnf(cls_used__parts__subset__parts_0,axiom,
% 31.38/31.47 ( 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))
% 31.38/31.47 | ~ hBOOL(c_in(V_X,c_Event_Oused(V_evs),tc_Message_Omsg)) ) ).
% 31.38/31.47
% 31.38/31.47 cnf(cls_keymode_Osimps_I2_J_0,axiom,
% 31.38/31.47 c_Public_Okeymode_OEncryption != c_Public_Okeymode_OSignature ).
% 31.38/31.47
% 31.38/31.47 cnf(cls_keymode_Oinduct_0,axiom,
% 31.38/31.47 ( hBOOL(hAPP(V_P,V_keymode))
% 31.38/31.47 | ~ hBOOL(hAPP(V_P,c_Public_Okeymode_OEncryption))
% 31.38/31.47 | ~ hBOOL(hAPP(V_P,c_Public_Okeymode_OSignature)) ) ).
% 31.38/31.47
% 31.38/31.47 cnf(cls_keymode_Osimps_I1_J_0,axiom,
% 31.38/31.47 c_Public_Okeymode_OSignature != c_Public_Okeymode_OEncryption ).
% 31.38/31.47
% 31.38/31.47 cnf(cls_initState__Server_0,axiom,
% 31.38/31.47 c_Event_OinitState(c_Message_Oagent_OServer) = c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Oupper__semilattice__class_Osup(c_Set_Oinsert(hAPP(c_Message_Omsg_OKey,hAPP(c_Message_OinvKey,hAPP(c_Public_OpublicKey(c_Public_Okeymode_OEncryption),c_Message_Oagent_OServer))),c_Set_Oinsert(hAPP(c_Message_Omsg_OKey,hAPP(c_Message_OinvKey,hAPP(c_Public_OpublicKey(c_Public_Okeymode_OSignature),c_Message_Oagent_OServer))),c_Orderings_Obot__class_Obot(tc_fun(tc_Message_Omsg,tc_bool)),tc_Message_Omsg),tc_Message_Omsg),c_Set_Oimage(c_Message_Omsg_OKey,c_Set_Oimage(c_Public_OpublicKey(c_Public_Okeymode_OEncryption),c_Orderings_Otop__class_Otop(tc_fun(tc_Message_Oagent,tc_bool)),tc_Message_Oagent,tc_nat),tc_nat,tc_Message_Omsg),tc_fun(tc_Message_Omsg,tc_bool)),c_Set_Oimage(c_Message_Omsg_OKey,c_Set_Oimage(c_Public_OpublicKey(c_Public_Okeymode_OSignature),c_Orderings_Otop__class_Otop(tc_fun(tc_Message_Oagent,tc_bool)),tc_Message_Oagent,tc_nat),tc_nat,tc_Message_Omsg),tc_fun(tc_Message_Omsg,tc_bool)),c_Set_Oimage(c_Message_Omsg_OKey,c_Set_Oimage(c_Public_OshrK,c_Orderings_Otop__class_Otop(tc_fun(tc_Message_Oagent,tc_bool)),tc_Message_Oagent,tc_nat),tc_nat,tc_Message_Omsg),tc_fun(tc_Message_Omsg,tc_bool)) ).
% 31.38/31.47
% 31.38/31.47 cnf(cls_sup__fun__eq_0,axiom,
% 31.38/31.47 ( ~ class_Lattices_Olattice(T_b)
% 31.38/31.47 | hAPP(c_Lattices_Oupper__semilattice__class_Osup(V_f,V_g,tc_fun(t_a,T_b)),v_x) = c_Lattices_Oupper__semilattice__class_Osup(hAPP(V_f,v_x),hAPP(V_g,v_x),T_b) ) ).
% 31.38/31.47
% 31.38/31.47 cnf(cls_insert__subset_1,axiom,
% 31.38/31.47 ( c_lessequals(V_A,V_B,tc_fun(T_a,tc_bool))
% 31.38/31.47 | ~ c_lessequals(c_Set_Oinsert(V_x,V_A,T_a),V_B,tc_fun(T_a,tc_bool)) ) ).
% 31.38/31.47
% 31.38/31.47 cnf(cls_subset__insertI2_0,axiom,
% 31.38/31.47 ( c_lessequals(V_A,c_Set_Oinsert(V_b,V_B,T_a),tc_fun(T_a,tc_bool))
% 31.38/31.47 | ~ c_lessequals(V_A,V_B,tc_fun(T_a,tc_bool)) ) ).
% 31.38/31.47
% 31.38/31.47 cnf(cls_append__same__eq_0,axiom,
% 31.38/31.47 ( c_List_Oappend(V_ys,V_xs,T_a) != c_List_Oappend(V_zs,V_xs,T_a)
% 31.38/31.47 | V_ys = V_zs ) ).
% 31.38/31.47
% 31.38/31.47 cnf(cls_same__append__eq_0,axiom,
% 31.38/31.47 ( c_List_Oappend(V_xs,V_ys,T_a) != c_List_Oappend(V_xs,V_zs,T_a)
% 31.38/31.47 | V_ys = V_zs ) ).
% 31.38/31.47
% 31.38/31.47 cnf(cls_used__nil__subset_0,axiom,
% 31.38/31.47 c_lessequals(c_Event_Oused(c_List_Olist_ONil(tc_Event_Oevent)),c_Event_Oused(V_evs),tc_fun(tc_Message_Omsg,tc_bool)) ).
% 31.38/31.47
% 31.38/31.47 cnf(cls_Un__insert__left_0,axiom,
% 31.38/31.47 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) ).
% 31.38/31.47
% 31.38/31.47 cnf(cls_Un__insert__right_0,axiom,
% 31.38/31.48 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) ).
% 31.38/31.48
% 31.38/31.48 cnf(cls_synth__mono_0,axiom,
% 31.38/31.48 ( c_lessequals(c_Message_Osynth(V_G),c_Message_Osynth(V_H),tc_fun(tc_Message_Omsg,tc_bool))
% 31.38/31.48 | ~ c_lessequals(V_G,V_H,tc_fun(tc_Message_Omsg,tc_bool)) ) ).
% 31.38/31.48
% 31.38/31.48 cnf(cls_append__Nil2_0,axiom,
% 31.38/31.48 c_List_Oappend(V_xs,c_List_Olist_ONil(T_a),T_a) = V_xs ).
% 31.38/31.48
% 31.38/31.48 cnf(cls_eq__Nil__appendI_0,axiom,
% 31.38/31.48 V_x = c_List_Oappend(c_List_Olist_ONil(T_a),V_x,T_a) ).
% 31.38/31.48
% 31.38/31.48 cnf(cls_self__append__conv_1,axiom,
% 31.38/31.48 V_xs = c_List_Oappend(V_xs,c_List_Olist_ONil(T_a),T_a) ).
% 31.38/31.48
% 31.38/31.48 cnf(cls_append__Nil_0,axiom,
% 31.38/31.48 c_List_Oappend(c_List_Olist_ONil(T_a),V_ys,T_a) = V_ys ).
% 31.38/31.48
% 31.38/31.48 cnf(cls_self__append__conv2_1,axiom,
% 31.38/31.48 V_ys = c_List_Oappend(c_List_Olist_ONil(T_a),V_ys,T_a) ).
% 31.38/31.48
% 31.38/31.48 cnf(cls_insert__Key__image_0,axiom,
% 31.38/31.48 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)) ).
% 31.38/31.48
% 31.38/31.48 cnf(cls_initState__subset__knows_0,axiom,
% 31.38/31.48 c_lessequals(c_Event_OinitState(V_A),c_Event_Oknows(V_A,V_evs),tc_fun(tc_Message_Omsg,tc_bool)) ).
% 31.38/31.48
% 31.38/31.48 cnf(cls_sup__top__right_0,axiom,
% 31.38/31.48 ( ~ class_Lattices_Obounded__lattice(T_a)
% 31.38/31.48 | c_Lattices_Oupper__semilattice__class_Osup(V_x,c_Orderings_Otop__class_Otop(T_a),T_a) = c_Orderings_Otop__class_Otop(T_a) ) ).
% 31.38/31.48
% 31.38/31.48 cnf(cls_sup__top__left_0,axiom,
% 31.38/31.48 ( ~ class_Lattices_Obounded__lattice(T_a)
% 31.38/31.48 | c_Lattices_Oupper__semilattice__class_Osup(c_Orderings_Otop__class_Otop(T_a),V_x,T_a) = c_Orderings_Otop__class_Otop(T_a) ) ).
% 31.38/31.48
% 31.38/31.48 cnf(cls_Un__UNIV__left_0,axiom,
% 31.38/31.48 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)) ).
% 31.38/31.48
% 31.38/31.48 cnf(cls_Un__UNIV__right_0,axiom,
% 31.38/31.48 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)) ).
% 31.38/31.48
% 31.38/31.48 cnf(cls_parts__Un__subset2_0,axiom,
% 31.38/31.48 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)) ).
% 31.38/31.48
% 31.38/31.48 cnf(cls_subset__insertI_0,axiom,
% 31.38/31.48 c_lessequals(V_B,c_Set_Oinsert(V_a,V_B,T_a),tc_fun(T_a,tc_bool)) ).
% 31.38/31.48
% 31.38/31.48 cnf(cls_synth__insert_0,axiom,
% 31.38/31.48 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)) ).
% 31.38/31.48
% 31.38/31.48 cnf(cls_pushes_I11_J_0,axiom,
% 31.38/31.48 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) ).
% 31.38/31.48
% 31.38/31.48 cnf(cls_parts__insert__HPair_0,axiom,
% 31.38/31.48 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) ).
% 31.38/31.48
% 31.38/31.48 cnf(cls_sup1E_0,axiom,
% 31.38/31.48 ( hBOOL(hAPP(V_B,V_x))
% 31.38/31.48 | hBOOL(hAPP(V_A,V_x))
% 31.38/31.48 | ~ hBOOL(hAPP(c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_a,tc_bool)),V_x)) ) ).
% 31.38/31.48
% 31.38/31.48 cnf(cls_sup1CI_0,axiom,
% 31.38/31.48 ( hBOOL(hAPP(c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_a,tc_bool)),V_x))
% 31.38/31.48 | ~ hBOOL(hAPP(V_B,V_x)) ) ).
% 31.38/31.48
% 31.38/31.48 cnf(cls_sup1CI_1,axiom,
% 31.38/31.48 ( hBOOL(hAPP(c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_a,tc_bool)),V_x))
% 31.38/31.48 | ~ hBOOL(hAPP(V_A,V_x)) ) ).
% 31.38/31.48
% 31.38/31.48 cnf(cls_Nil__is__append__conv_0,axiom,
% 31.38/31.48 ( c_List_Olist_ONil(T_a) != c_List_Oappend(V_xs,V_ys,T_a)
% 31.38/31.48 | V_xs = c_List_Olist_ONil(T_a) ) ).
% 31.38/31.48
% 31.38/31.48 cnf(cls_initState__Spy_0,axiom,
% 31.38/31.48 c_Event_OinitState(c_Message_Oagent_OSpy) = c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Oupper__semilattice__class_Osup(c_Set_Oimage(c_Message_Omsg_OKey,c_Set_Oimage(c_Message_OinvKey,c_Set_Oimage(c_Public_OpublicKey(c_Public_Okeymode_OEncryption),c_Event_Obad,tc_Message_Oagent,tc_nat),tc_nat,tc_nat),tc_nat,tc_Message_Omsg),c_Set_Oimage(c_Message_Omsg_OKey,c_Set_Oimage(c_Message_OinvKey,c_Set_Oimage(c_Public_OpublicKey(c_Public_Okeymode_OSignature),c_Event_Obad,tc_Message_Oagent,tc_nat),tc_nat,tc_nat),tc_nat,tc_Message_Omsg),tc_fun(tc_Message_Omsg,tc_bool)),c_Set_Oimage(c_Message_Omsg_OKey,c_Set_Oimage(c_Public_OshrK,c_Event_Obad,tc_Message_Oagent,tc_nat),tc_nat,tc_Message_Omsg),tc_fun(tc_Message_Omsg,tc_bool)),c_Set_Oimage(c_Message_Omsg_OKey,c_Set_Oimage(c_Public_OpublicKey(c_Public_Okeymode_OEncryption),c_Orderings_Otop__class_Otop(tc_fun(tc_Message_Oagent,tc_bool)),tc_Message_Oagent,tc_nat),tc_nat,tc_Message_Omsg),tc_fun(tc_Message_Omsg,tc_bool)),c_Set_Oimage(c_Message_Omsg_OKey,c_Set_Oimage(c_Public_OpublicKey(c_Public_Okeymode_OSignature),c_Orderings_Otop__class_Otop(tc_fun(tc_Message_Oagent,tc_bool)),tc_Message_Oagent,tc_nat),tc_nat,tc_Message_Omsg),tc_fun(tc_Message_Omsg,tc_bool)) ).
% 31.38/31.48
% 31.38/31.48 cnf(cls_Un__absorb_0,axiom,
% 31.38/31.48 c_Lattices_Oupper__semilattice__class_Osup(V_A,V_A,tc_fun(T_a,tc_bool)) = V_A ).
% 31.38/31.48
% 31.38/31.48 cnf(cls_sup__idem_0,axiom,
% 31.38/31.48 ( ~ class_Lattices_Oupper__semilattice(T_a)
% 31.38/31.48 | c_Lattices_Oupper__semilattice__class_Osup(V_x,V_x,T_a) = V_x ) ).
% 31.38/31.48
% 31.38/31.48 cnf(cls_analz__Un_0,axiom,
% 31.38/31.48 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)) ).
% 31.38/31.48
% 31.38/31.48 cnf(cls_analz__insert__HPair_0,axiom,
% 31.38/31.48 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) ).
% 31.38/31.48
% 31.38/31.48 cnf(cls_HPair__eq__MPair_0,axiom,
% 31.38/31.48 ( c_Message_OHPair(V_X,V_Y) != c_Message_Omsg_OMPair(V_X_H,V_Y_H)
% 31.38/31.48 | V_X_H = c_Message_Omsg_OHash(c_Message_Omsg_OMPair(V_X,V_Y)) ) ).
% 31.38/31.48
% 31.38/31.48 cnf(cls_parts__Un__subset1_0,axiom,
% 31.38/31.48 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)) ).
% 31.38/31.48
% 31.38/31.48 cnf(cls_HPair__eq_1,axiom,
% 31.38/31.48 ( c_Message_OHPair(V_X_H,V_Y_H) != c_Message_OHPair(V_X,V_Y)
% 31.38/31.48 | V_Y_H = V_Y ) ).
% 31.38/31.48
% 31.38/31.48 cnf(cls_HPair__eq_0,axiom,
% 31.38/31.48 ( c_Message_OHPair(V_X_H,V_Y_H) != c_Message_OHPair(V_X,V_Y)
% 31.38/31.48 | V_X_H = V_X ) ).
% 31.38/31.48
% 31.38/31.48 cnf(cls_synth__subset__iff_1,axiom,
% 31.38/31.48 ( c_lessequals(c_Message_Osynth(V_G),c_Message_Osynth(V_H),tc_fun(tc_Message_Omsg,tc_bool))
% 31.38/31.48 | ~ c_lessequals(V_G,c_Message_Osynth(V_H),tc_fun(tc_Message_Omsg,tc_bool)) ) ).
% 31.38/31.48
% 31.38/31.48 cnf(cls_synth__subset__iff_0,axiom,
% 31.38/31.48 ( c_lessequals(V_G,c_Message_Osynth(V_H),tc_fun(tc_Message_Omsg,tc_bool))
% 31.38/31.48 | ~ c_lessequals(c_Message_Osynth(V_G),c_Message_Osynth(V_H),tc_fun(tc_Message_Omsg,tc_bool)) ) ).
% 31.38/31.48
% 31.38/31.48 cnf(cls_Fake__analz__insert_0,axiom,
% 31.38/31.48 ( 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))
% 31.38/31.48 | ~ hBOOL(c_in(V_X,c_Message_Osynth(c_Message_Oanalz(V_G)),tc_Message_Omsg)) ) ).
% 31.38/31.48
% 31.38/31.48 cnf(cls_Un__left__commute_0,axiom,
% 31.38/31.48 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)) ).
% 31.38/31.48
% 31.38/31.48 cnf(cls_Un__assoc_0,axiom,
% 31.38/31.48 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)) ).
% 31.38/31.48
% 31.38/31.48 cnf(cls_sup__assoc_0,axiom,
% 31.38/31.48 ( ~ class_Lattices_Oupper__semilattice(T_a)
% 31.38/31.48 | 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) ) ).
% 31.38/31.48
% 31.38/31.48 cnf(cls_sup__left__commute_0,axiom,
% 31.38/31.48 ( ~ class_Lattices_Oupper__semilattice(T_a)
% 31.38/31.48 | 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) ) ).
% 31.38/31.48
% 31.38/31.48 cnf(cls_analz__image__freshK__simps_I65_J_0,axiom,
% 31.38/31.48 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)) ).
% 31.38/31.48
% 31.38/31.48 cnf(cls_inf__sup__aci_I7_J_0,axiom,
% 31.38/31.48 ( ~ class_Lattices_Olattice(T_a)
% 31.38/31.48 | 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) ) ).
% 31.38/31.48
% 31.38/31.48 cnf(cls_inf__sup__aci_I6_J_0,axiom,
% 31.38/31.48 ( ~ class_Lattices_Olattice(T_a)
% 31.38/31.48 | 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) ) ).
% 31.38/31.48
% 31.38/31.48 cnf(cls_Un__subset__iff_2,axiom,
% 31.38/31.48 ( 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))
% 31.38/31.48 | ~ c_lessequals(V_B,V_C,tc_fun(T_a,tc_bool))
% 31.38/31.48 | ~ c_lessequals(V_A,V_C,tc_fun(T_a,tc_bool)) ) ).
% 31.38/31.48
% 31.38/31.48 cnf(cls_Un__upper2_0,axiom,
% 31.38/31.48 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)) ).
% 31.38/31.48
% 31.38/31.48 cnf(cls_Un__upper1_0,axiom,
% 31.38/31.48 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)) ).
% 31.38/31.48
% 31.38/31.48 cnf(cls_Un__least_0,axiom,
% 31.38/31.48 ( 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))
% 31.38/31.48 | ~ c_lessequals(V_B,V_C,tc_fun(T_a,tc_bool))
% 31.38/31.48 | ~ c_lessequals(V_A,V_C,tc_fun(T_a,tc_bool)) ) ).
% 31.38/31.48
% 31.38/31.48 cnf(cls_le__supI_0,axiom,
% 31.38/31.48 ( ~ class_Lattices_Oupper__semilattice(T_a)
% 31.38/31.48 | c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(V_a,V_b,T_a),V_x,T_a)
% 31.38/31.48 | ~ c_lessequals(V_b,V_x,T_a)
% 31.38/31.48 | ~ c_lessequals(V_a,V_x,T_a) ) ).
% 31.38/31.48
% 31.38/31.48 cnf(cls_sup__ge1_0,axiom,
% 31.38/31.48 ( ~ class_Lattices_Oupper__semilattice(T_a)
% 31.38/31.48 | c_lessequals(V_x,c_Lattices_Oupper__semilattice__class_Osup(V_x,V_y,T_a),T_a) ) ).
% 31.38/31.48
% 31.38/31.48 cnf(cls_sup__ge2_0,axiom,
% 31.38/31.48 ( ~ class_Lattices_Oupper__semilattice(T_a)
% 31.38/31.48 | c_lessequals(V_y,c_Lattices_Oupper__semilattice__class_Osup(V_x,V_y,T_a),T_a) ) ).
% 31.38/31.48
% 31.38/31.48 cnf(cls_sup__least_0,axiom,
% 31.38/31.48 ( ~ class_Lattices_Oupper__semilattice(T_a)
% 31.38/31.48 | c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(V_y,V_z,T_a),V_x,T_a)
% 31.38/31.48 | ~ c_lessequals(V_z,V_x,T_a)
% 31.38/31.48 | ~ c_lessequals(V_y,V_x,T_a) ) ).
% 31.38/31.48
% 31.38/31.48 cnf(cls_le__sup__iff_2,axiom,
% 31.38/31.48 ( ~ class_Lattices_Oupper__semilattice(T_a)
% 31.38/31.48 | c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(V_x,V_y,T_a),V_z,T_a)
% 31.38/31.48 | ~ c_lessequals(V_y,V_z,T_a)
% 31.38/31.48 | ~ c_lessequals(V_x,V_z,T_a) ) ).
% 31.38/31.48
% 31.38/31.48 cnf(cls_inf__sup__ord_I4_J_0,axiom,
% 31.38/31.48 ( ~ class_Lattices_Olattice(T_a)
% 31.38/31.48 | c_lessequals(V_y,c_Lattices_Oupper__semilattice__class_Osup(V_x,V_y,T_a),T_a) ) ).
% 31.38/31.48
% 31.38/31.48 cnf(cls_inf__sup__ord_I3_J_0,axiom,
% 31.38/31.48 ( ~ class_Lattices_Olattice(T_a)
% 31.38/31.48 | c_lessequals(V_x,c_Lattices_Oupper__semilattice__class_Osup(V_x,V_y,T_a),T_a) ) ).
% 31.38/31.48
% 31.38/31.48 cnf(cls_append__eq__Cons__conv_5,axiom,
% 31.38/31.48 c_List_Oappend(c_List_Olist_OCons(V_x,V_xa,T_a),V_zs,T_a) = c_List_Olist_OCons(V_x,c_List_Oappend(V_xa,V_zs,T_a),T_a) ).
% 31.38/31.48
% 31.38/31.48 cnf(cls_append__Cons_0,axiom,
% 31.38/31.48 c_List_Oappend(c_List_Olist_OCons(V_x,V_xs,T_a),V_ys,T_a) = c_List_Olist_OCons(V_x,c_List_Oappend(V_xs,V_ys,T_a),T_a) ).
% 31.38/31.48
% 31.38/31.48 cnf(cls_HPair__eq__MPair_2,axiom,
% 31.38/31.48 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) ).
% 31.38/31.48
% 31.38/31.48 cnf(cls_HPair__def_0,axiom,
% 31.38/31.48 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) ).
% 31.38/31.48
% 31.38/31.48 cnf(cls_insert__subset_0,axiom,
% 31.38/31.48 ( hBOOL(c_in(V_x,V_B,T_a))
% 31.38/31.48 | ~ c_lessequals(c_Set_Oinsert(V_x,V_A,T_a),V_B,tc_fun(T_a,tc_bool)) ) ).
% 31.38/31.48
% 31.38/31.48 cnf(cls_Cons__eq__append__conv_5,axiom,
% 31.38/31.48 c_List_Olist_OCons(V_x,c_List_Oappend(V_xa,V_zs,T_a),T_a) = c_List_Oappend(c_List_Olist_OCons(V_x,V_xa,T_a),V_zs,T_a) ).
% 31.38/31.48
% 31.38/31.48 cnf(cls_Cons__eq__appendI_0,axiom,
% 31.38/31.48 c_List_Olist_OCons(V_x,c_List_Oappend(V_xs1,V_zs,T_a),T_a) = c_List_Oappend(c_List_Olist_OCons(V_x,V_xs1,T_a),V_zs,T_a) ).
% 31.38/31.48
% 31.38/31.48 cnf(cls_subset__insert__iff_2,axiom,
% 31.38/31.48 ( c_lessequals(V_A,c_Set_Oinsert(V_x,V_B,T_a),tc_fun(T_a,tc_bool))
% 31.38/31.48 | ~ c_lessequals(V_A,V_B,tc_fun(T_a,tc_bool))
% 31.38/31.48 | hBOOL(c_in(V_x,V_A,T_a)) ) ).
% 31.38/31.48
% 31.38/31.48 cnf(cls_subset__insert__iff_1,axiom,
% 31.38/31.48 ( c_lessequals(V_A,V_B,tc_fun(T_a,tc_bool))
% 31.38/31.48 | hBOOL(c_in(V_x,V_A,T_a))
% 31.38/31.48 | ~ c_lessequals(V_A,c_Set_Oinsert(V_x,V_B,T_a),tc_fun(T_a,tc_bool)) ) ).
% 31.38/31.48
% 31.38/31.48 cnf(cls_subset__insert_1,axiom,
% 31.38/31.48 ( c_lessequals(V_A,c_Set_Oinsert(V_x,V_B,T_a),tc_fun(T_a,tc_bool))
% 31.38/31.48 | ~ c_lessequals(V_A,V_B,tc_fun(T_a,tc_bool))
% 31.38/31.48 | hBOOL(c_in(V_x,V_A,T_a)) ) ).
% 31.38/31.48
% 31.38/31.48 cnf(cls_subset__insert_0,axiom,
% 31.38/31.48 ( c_lessequals(V_A,V_B,tc_fun(T_a,tc_bool))
% 31.38/31.48 | ~ c_lessequals(V_A,c_Set_Oinsert(V_x,V_B,T_a),tc_fun(T_a,tc_bool))
% 31.38/31.48 | hBOOL(c_in(V_x,V_A,T_a)) ) ).
% 31.38/31.48
% 31.38/31.48 cnf(cls_neq__Nil__conv_1,axiom,
% 31.38/31.48 c_List_Olist_OCons(V_x,V_xa,T_a) != c_List_Olist_ONil(T_a) ).
% 31.38/31.48
% 31.38/31.48 cnf(cls_list_Osimps_I3_J_0,axiom,
% 31.38/31.48 c_List_Olist_OCons(V_a_H,V_list_H,T_a) != c_List_Olist_ONil(T_a) ).
% 31.38/31.48
% 31.38/31.48 cnf(cls_MPair__eq__HPair_0,axiom,
% 31.38/31.48 ( c_Message_Omsg_OMPair(V_X_H,V_Y_H) != c_Message_OHPair(V_X,V_Y)
% 31.38/31.48 | V_X_H = c_Message_Omsg_OHash(c_Message_Omsg_OMPair(V_X,V_Y)) ) ).
% 31.38/31.48
% 31.38/31.48 cnf(cls_Un__commute_0,axiom,
% 31.38/31.48 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)) ).
% 31.38/31.48
% 31.38/31.48 cnf(cls_sup__commute_0,axiom,
% 31.38/31.48 ( ~ class_Lattices_Oupper__semilattice(T_a)
% 31.38/31.48 | c_Lattices_Oupper__semilattice__class_Osup(V_x,V_y,T_a) = c_Lattices_Oupper__semilattice__class_Osup(V_y,V_x,T_a) ) ).
% 31.38/31.48
% 31.38/31.48 cnf(cls_inf__sup__aci_I5_J_0,axiom,
% 31.38/31.48 ( ~ class_Lattices_Olattice(T_a)
% 31.38/31.48 | c_Lattices_Oupper__semilattice__class_Osup(V_x,V_y,T_a) = c_Lattices_Oupper__semilattice__class_Osup(V_y,V_x,T_a) ) ).
% 31.38/31.48
% 31.38/31.48 cnf(cls_Un__left__absorb_0,axiom,
% 31.38/31.48 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)) ).
% 31.38/31.48
% 31.38/31.48 cnf(cls_sup__left__idem_0,axiom,
% 31.38/31.48 ( ~ class_Lattices_Oupper__semilattice(T_a)
% 31.38/31.48 | 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) ) ).
% 31.38/31.48
% 31.38/31.48 cnf(cls_inf__sup__aci_I8_J_0,axiom,
% 31.38/31.48 ( ~ class_Lattices_Olattice(T_a)
% 31.38/31.48 | 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) ) ).
% 31.38/31.48
% 31.38/31.48 cnf(cls_MPair__eq__HPair_2,axiom,
% 31.38/31.48 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) ).
% 31.38/31.48
% 31.38/31.48 cnf(cls_Cons__eq__append__conv_4,axiom,
% 31.38/31.48 c_List_Olist_OCons(V_x,V_xs,T_a) = c_List_Oappend(c_List_Olist_ONil(T_a),c_List_Olist_OCons(V_x,V_xs,T_a),T_a) ).
% 31.38/31.48
% 31.38/31.48 cnf(cls_Nil__is__append__conv_2,axiom,
% 31.38/31.48 c_List_Olist_ONil(T_a) = c_List_Oappend(c_List_Olist_ONil(T_a),c_List_Olist_ONil(T_a),T_a) ).
% 31.38/31.48
% 31.38/31.48 cnf(cls_analz__insert__Hash_0,axiom,
% 31.38/31.48 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) ).
% 31.38/31.48
% 31.38/31.48 cnf(cls_le__funD_0,axiom,
% 31.38/31.48 ( ~ class_HOL_Oord(T_b)
% 31.38/31.48 | c_lessequals(hAPP(V_f,V_x),hAPP(V_g,V_x),T_b)
% 31.38/31.48 | ~ c_lessequals(V_f,V_g,tc_fun(T_a,T_b)) ) ).
% 31.38/31.48
% 31.38/31.48 cnf(cls_subset__iff_0,axiom,
% 31.38/31.48 ( hBOOL(c_in(V_t,V_B,T_a))
% 31.38/31.48 | ~ hBOOL(c_in(V_t,V_A,T_a))
% 31.38/31.48 | ~ c_lessequals(V_A,V_B,tc_fun(T_a,tc_bool)) ) ).
% 31.38/31.48
% 31.38/31.48 cnf(cls_set__rev__mp_0,axiom,
% 31.38/31.48 ( hBOOL(c_in(V_x,V_B,T_a))
% 31.38/31.48 | ~ c_lessequals(V_A,V_B,tc_fun(T_a,tc_bool))
% 31.38/31.48 | ~ hBOOL(c_in(V_x,V_A,T_a)) ) ).
% 31.38/31.48
% 31.38/31.48 cnf(cls_subsetD_0,axiom,
% 31.38/31.48 ( hBOOL(c_in(V_c,V_B,T_a))
% 31.38/31.48 | ~ hBOOL(c_in(V_c,V_A,T_a))
% 31.38/31.48 | ~ c_lessequals(V_A,V_B,tc_fun(T_a,tc_bool)) ) ).
% 31.38/31.48
% 31.38/31.48 cnf(cls_set__mp_0,axiom,
% 31.38/31.48 ( hBOOL(c_in(V_x,V_B,T_a))
% 31.38/31.48 | ~ hBOOL(c_in(V_x,V_A,T_a))
% 31.38/31.48 | ~ c_lessequals(V_A,V_B,tc_fun(T_a,tc_bool)) ) ).
% 31.38/31.48
% 31.38/31.48 cnf(cls_UnCI_1,axiom,
% 31.38/31.48 ( hBOOL(c_in(V_c,c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_a,tc_bool)),T_a))
% 31.38/31.48 | ~ hBOOL(c_in(V_c,V_A,T_a)) ) ).
% 31.38/31.48
% 31.38/31.48 cnf(cls_UnCI_0,axiom,
% 31.38/31.48 ( hBOOL(c_in(V_c,c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_a,tc_bool)),T_a))
% 31.38/31.48 | ~ hBOOL(c_in(V_c,V_B,T_a)) ) ).
% 31.38/31.48
% 31.38/31.48 cnf(cls_UnE_0,axiom,
% 31.38/31.48 ( hBOOL(c_in(V_c,V_B,T_a))
% 31.38/31.48 | hBOOL(c_in(V_c,V_A,T_a))
% 31.38/31.48 | ~ hBOOL(c_in(V_c,c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_a,tc_bool)),T_a)) ) ).
% 31.38/31.48
% 31.38/31.48 cnf(cls_msg_Osimps_I45_J_0,axiom,
% 31.38/31.48 c_Message_Omsg_OMPair(V_msg1_H,V_msg2_H) != c_Message_Omsg_OHash(V_msg) ).
% 31.38/31.48
% 31.38/31.48 cnf(cls_HPair__eq__MPair_1,axiom,
% 31.38/31.48 ( c_Message_OHPair(V_X,V_Y) != c_Message_Omsg_OMPair(V_X_H,V_Y_H)
% 31.38/31.48 | V_Y_H = V_Y ) ).
% 31.38/31.48
% 31.38/31.48 cnf(cls_msg_Osimps_I44_J_0,axiom,
% 31.38/31.48 c_Message_Omsg_OHash(V_msg) != c_Message_Omsg_OMPair(V_msg1_H,V_msg2_H) ).
% 31.38/31.48
% 31.38/31.48 cnf(cls_analzp_OSnd_0,axiom,
% 31.38/31.48 ( c_Message_Oanalzp(V_H,V_Y)
% 31.38/31.48 | ~ c_Message_Oanalzp(V_H,c_Message_Omsg_OMPair(V_X,V_Y)) ) ).
% 31.38/31.48
% 31.38/31.48 cnf(cls_analzp_OFst_0,axiom,
% 31.38/31.48 ( c_Message_Oanalzp(V_H,V_X)
% 31.38/31.48 | ~ c_Message_Oanalzp(V_H,c_Message_Omsg_OMPair(V_X,V_Y)) ) ).
% 31.38/31.48
% 31.38/31.48 cnf(cls_MPair__eq__HPair_1,axiom,
% 31.38/31.48 ( c_Message_Omsg_OMPair(V_X_H,V_Y_H) != c_Message_OHPair(V_X,V_Y)
% 31.38/31.48 | V_Y_H = V_Y ) ).
% 31.38/31.48
% 31.38/31.48 cnf(cls_Hash__notin__image__Key_0,axiom,
% 31.38/31.48 ~ hBOOL(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)) ).
% 31.38/31.48
% 31.38/31.48 cnf(cls_parts__Un_0,axiom,
% 31.38/31.48 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)) ).
% 31.38/31.48
% 31.38/31.48 cnf(cls_parts__increasing_0,axiom,
% 31.38/31.48 c_lessequals(V_H,c_Message_Oparts(V_H),tc_fun(tc_Message_Omsg,tc_bool)) ).
% 31.38/31.48
% 31.38/31.48 cnf(cls_parts__mono_0,axiom,
% 31.38/31.48 ( c_lessequals(c_Message_Oparts(V_G),c_Message_Oparts(V_H),tc_fun(tc_Message_Omsg,tc_bool))
% 31.38/31.48 | ~ c_lessequals(V_G,V_H,tc_fun(tc_Message_Omsg,tc_bool)) ) ).
% 31.38/31.48
% 31.38/31.48 cnf(cls_parts__subset__iff_1,axiom,
% 31.38/31.48 ( c_lessequals(c_Message_Oparts(V_G),c_Message_Oparts(V_H),tc_fun(tc_Message_Omsg,tc_bool))
% 31.38/31.48 | ~ c_lessequals(V_G,c_Message_Oparts(V_H),tc_fun(tc_Message_Omsg,tc_bool)) ) ).
% 31.38/31.48
% 31.38/31.48 cnf(cls_parts__subset__iff_0,axiom,
% 31.38/31.48 ( c_lessequals(V_G,c_Message_Oparts(V_H),tc_fun(tc_Message_Omsg,tc_bool))
% 31.38/31.48 | ~ c_lessequals(c_Message_Oparts(V_G),c_Message_Oparts(V_H),tc_fun(tc_Message_Omsg,tc_bool)) ) ).
% 31.38/31.48
% 31.38/31.48 cnf(cls_Crypt__neq__HPair_0,axiom,
% 31.38/31.48 c_Message_Omsg_OCrypt(V_K,V_X_H) != c_Message_OHPair(V_X,V_Y) ).
% 31.38/31.48
% 31.38/31.48 cnf(cls_msg_Osimps_I46_J_0,axiom,
% 31.38/31.48 c_Message_Omsg_OHash(V_msg) != c_Message_Omsg_OCrypt(V_nat_H,V_msg_H) ).
% 31.38/31.48
% 31.38/31.48 cnf(cls_msg_Osimps_I47_J_0,axiom,
% 31.38/31.48 c_Message_Omsg_OCrypt(V_nat_H,V_msg_H) != c_Message_Omsg_OHash(V_msg) ).
% 31.38/31.48
% 31.38/31.48 cnf(cls_msg_Osimps_I39_J_0,axiom,
% 31.38/31.48 c_Message_Omsg_OHash(V_msg_H) != hAPP(c_Message_Omsg_OKey,V_nat) ).
% 31.38/31.48
% 31.38/31.48 cnf(cls_Key__neq__HPair_0,axiom,
% 31.38/31.48 hAPP(c_Message_Omsg_OKey,V_K) != c_Message_OHPair(V_X,V_Y) ).
% 31.38/31.48
% 31.38/31.48 cnf(cls_msg_Osimps_I38_J_0,axiom,
% 31.38/31.48 hAPP(c_Message_Omsg_OKey,V_nat) != c_Message_Omsg_OHash(V_msg_H) ).
% 31.38/31.48
% 31.38/31.48 cnf(cls_analz__mono_0,axiom,
% 31.38/31.48 ( c_lessequals(c_Message_Oanalz(V_G),c_Message_Oanalz(V_H),tc_fun(tc_Message_Omsg,tc_bool))
% 31.38/31.48 | ~ c_lessequals(V_G,V_H,tc_fun(tc_Message_Omsg,tc_bool)) ) ).
% 31.38/31.48
% 31.38/31.48 cnf(cls_analz__subset__iff_1,axiom,
% 31.38/31.48 ( c_lessequals(c_Message_Oanalz(V_G),c_Message_Oanalz(V_H),tc_fun(tc_Message_Omsg,tc_bool))
% 31.38/31.48 | ~ c_lessequals(V_G,c_Message_Oanalz(V_H),tc_fun(tc_Message_Omsg,tc_bool)) ) ).
% 31.38/31.48
% 31.38/31.48 cnf(cls_analz__subset__iff_0,axiom,
% 31.38/31.48 ( c_lessequals(V_G,c_Message_Oanalz(V_H),tc_fun(tc_Message_Omsg,tc_bool))
% 31.38/31.48 | ~ c_lessequals(c_Message_Oanalz(V_G),c_Message_Oanalz(V_H),tc_fun(tc_Message_Omsg,tc_bool)) ) ).
% 31.38/31.48
% 31.38/31.48 cnf(cls_analz__increasing_0,axiom,
% 31.38/31.48 c_lessequals(V_H,c_Message_Oanalz(V_H),tc_fun(tc_Message_Omsg,tc_bool)) ).
% 31.38/31.48
% 31.38/31.48 cnf(cls_analz__analz__Un_0,axiom,
% 31.38/31.48 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))) ).
% 31.38/31.48
% 31.38/31.48 cnf(cls_analz__cong_0,axiom,
% 31.38/31.48 ( c_Message_Oanalz(V_H) != c_Message_Oanalz(V_H_H)
% 31.38/31.48 | c_Message_Oanalz(V_G) != c_Message_Oanalz(V_G_H)
% 31.38/31.48 | 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))) ) ).
% 31.38/31.48
% 31.38/31.48 cnf(cls_Agent__neq__HPair_0,axiom,
% 31.38/31.48 c_Message_Omsg_OAgent(V_A) != c_Message_OHPair(V_X,V_Y) ).
% 31.38/31.48
% 31.38/31.48 cnf(cls_msg_Osimps_I15_J_0,axiom,
% 31.38/31.48 c_Message_Omsg_OHash(V_msg_H) != c_Message_Omsg_OAgent(V_agent) ).
% 31.38/31.48
% 31.38/31.49 cnf(cls_msg_Osimps_I14_J_0,axiom,
% 31.38/31.49 c_Message_Omsg_OAgent(V_agent) != c_Message_Omsg_OHash(V_msg_H) ).
% 31.38/31.49
% 31.38/31.49 cnf(cls_msg_Osimps_I32_J_0,axiom,
% 31.38/31.49 c_Message_Omsg_ONonce(V_nat) != c_Message_Omsg_OHash(V_msg_H) ).
% 31.38/31.49
% 31.38/31.49 cnf(cls_Nonce__neq__HPair_0,axiom,
% 31.38/31.49 c_Message_Omsg_ONonce(V_N) != c_Message_OHPair(V_X,V_Y) ).
% 31.38/31.49
% 31.38/31.49 cnf(cls_msg_Osimps_I33_J_0,axiom,
% 31.38/31.49 c_Message_Omsg_OHash(V_msg_H) != c_Message_Omsg_ONonce(V_nat) ).
% 31.38/31.49
% 31.38/31.49 cnf(cls_Fake__parts__insert_0,axiom,
% 31.38/31.49 ( 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))
% 31.38/31.49 | ~ hBOOL(c_in(V_X,c_Message_Osynth(c_Message_Oanalz(V_H)),tc_Message_Omsg)) ) ).
% 31.38/31.49
% 31.38/31.49 cnf(cls_spies__Says__rev_0,axiom,
% 31.38/31.49 c_Event_Oknows(c_Message_Oagent_OSpy,c_List_Oappend(V_evs,c_List_Olist_OCons(c_Event_Oevent_OSays(V_A,V_B,V_X),c_List_Olist_ONil(tc_Event_Oevent),tc_Event_Oevent),tc_Event_Oevent)) = c_Set_Oinsert(V_X,c_Event_Oknows(c_Message_Oagent_OSpy,V_evs),tc_Message_Omsg) ).
% 31.38/31.49
% 31.38/31.49 cnf(cls_in__set__conv__decomp__first_2,axiom,
% 31.38/31.49 ( hBOOL(c_in(V_x,c_List_Oset(c_List_Oappend(V_xa,c_List_Olist_OCons(V_x,V_xb,T_a),T_a),T_a),T_a))
% 31.38/31.49 | hBOOL(c_in(V_x,c_List_Oset(V_xa,T_a),T_a)) ) ).
% 31.38/31.49
% 31.38/31.49 cnf(cls_in__set__conv__decomp__last_2,axiom,
% 31.38/31.49 ( hBOOL(c_in(V_x,c_List_Oset(c_List_Oappend(V_xa,c_List_Olist_OCons(V_x,V_xb,T_a),T_a),T_a),T_a))
% 31.38/31.49 | hBOOL(c_in(V_x,c_List_Oset(V_xb,T_a),T_a)) ) ).
% 31.38/31.49
% 31.38/31.49 cnf(cls_in__set__conv__decomp_1,axiom,
% 31.38/31.49 hBOOL(c_in(V_x,c_List_Oset(c_List_Oappend(V_xa,c_List_Olist_OCons(V_x,V_xb,T_a),T_a),T_a),T_a)) ).
% 31.38/31.49
% 31.38/31.49 cnf(cls_Crypt__notin__initState_0,axiom,
% 31.38/31.49 ~ hBOOL(c_in(c_Message_Omsg_OCrypt(V_K,V_X),c_Message_Oparts(c_Event_OinitState(V_B)),tc_Message_Omsg)) ).
% 31.38/31.49
% 31.38/31.49 cnf(cls_Crypt__notin__image__Key_0,axiom,
% 31.38/31.49 ~ hBOOL(c_in(c_Message_Omsg_OCrypt(V_K,V_X),c_Set_Oimage(c_Message_Omsg_OKey,V_A,tc_nat,tc_Message_Omsg),tc_Message_Omsg)) ).
% 31.38/31.49
% 31.38/31.49 cnf(cls_parts__cut_0,axiom,
% 31.38/31.49 ( hBOOL(c_in(V_Y,c_Message_Oparts(c_Lattices_Oupper__semilattice__class_Osup(V_G,V_H,tc_fun(tc_Message_Omsg,tc_bool))),tc_Message_Omsg))
% 31.38/31.49 | ~ hBOOL(c_in(V_X,c_Message_Oparts(V_H),tc_Message_Omsg))
% 31.38/31.49 | ~ hBOOL(c_in(V_Y,c_Message_Oparts(c_Set_Oinsert(V_X,V_G,tc_Message_Omsg)),tc_Message_Omsg)) ) ).
% 31.38/31.49
% 31.38/31.49 cnf(cls_gen__analz__insert__eq_0,axiom,
% 31.38/31.49 ( c_Message_Oanalz(c_Set_Oinsert(V_X,V_G,tc_Message_Omsg)) = c_Message_Oanalz(V_G)
% 31.38/31.49 | ~ c_lessequals(V_H,V_G,tc_fun(tc_Message_Omsg,tc_bool))
% 31.38/31.49 | ~ hBOOL(c_in(V_X,c_Message_Oanalz(V_H),tc_Message_Omsg)) ) ).
% 31.38/31.49
% 31.38/31.49 cnf(cls_Nil__is__append__conv_1,axiom,
% 31.38/31.49 ( c_List_Olist_ONil(T_a) != c_List_Oappend(V_xs,V_ys,T_a)
% 31.38/31.49 | V_ys = c_List_Olist_ONil(T_a) ) ).
% 31.38/31.49
% 31.38/31.49 cnf(cls_append__is__Nil__conv_0,axiom,
% 31.38/31.49 ( c_List_Oappend(V_xs,V_ys,T_a) != c_List_Olist_ONil(T_a)
% 31.38/31.49 | V_xs = c_List_Olist_ONil(T_a) ) ).
% 31.38/31.49
% 31.38/31.49 cnf(cls_append__is__Nil__conv_1,axiom,
% 31.38/31.49 ( c_List_Oappend(V_xs,V_ys,T_a) != c_List_Olist_ONil(T_a)
% 31.38/31.49 | V_ys = c_List_Olist_ONil(T_a) ) ).
% 31.38/31.49
% 31.38/31.49 cnf(cls_ns__sharedp_ONil_0,axiom,
% 31.38/31.49 hBOOL(c_NS__Shared__Mirabelle_Ons__sharedp(c_List_Olist_ONil(tc_Event_Oevent))) ).
% 31.38/31.49
% 31.38/31.49 cnf(cls_synth__Un_0,axiom,
% 31.38/31.49 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)) ).
% 31.38/31.49
% 31.38/31.49 cnf(cls_parts__insert__Hash_0,axiom,
% 31.38/31.49 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) ).
% 31.38/31.49
% 31.38/31.49 cnf(cls_equalityI_0,axiom,
% 31.38/31.49 ( V_A = V_B
% 31.38/31.49 | ~ c_lessequals(V_B,V_A,tc_fun(T_a,tc_bool))
% 31.38/31.49 | ~ c_lessequals(V_A,V_B,tc_fun(T_a,tc_bool)) ) ).
% 31.38/31.49
% 31.38/31.49 cnf(cls_set__eq__subset_2,axiom,
% 31.38/31.49 ( V_A = V_B
% 31.38/31.49 | ~ c_lessequals(V_B,V_A,tc_fun(T_a,tc_bool))
% 31.38/31.49 | ~ c_lessequals(V_A,V_B,tc_fun(T_a,tc_bool)) ) ).
% 31.38/31.49
% 31.38/31.49 cnf(cls_order__eq__iff_2,axiom,
% 31.38/31.49 ( ~ class_Orderings_Oorder(T_a)
% 31.38/31.49 | V_x = V_y
% 31.38/31.49 | ~ c_lessequals(V_y,V_x,T_a)
% 31.38/31.49 | ~ c_lessequals(V_x,V_y,T_a) ) ).
% 31.38/31.49
% 31.38/31.49 cnf(cls_order__antisym_0,axiom,
% 31.38/31.49 ( ~ class_Orderings_Oorder(T_a)
% 31.38/31.49 | V_x = V_y
% 31.38/31.49 | ~ c_lessequals(V_y,V_x,T_a)
% 31.38/31.49 | ~ c_lessequals(V_x,V_y,T_a) ) ).
% 31.38/31.49
% 31.38/31.49 cnf(cls_order__antisym__conv_0,axiom,
% 31.38/31.49 ( ~ class_Orderings_Oorder(T_a)
% 31.38/31.49 | V_x = V_y
% 31.38/31.49 | ~ c_lessequals(V_x,V_y,T_a)
% 31.38/31.49 | ~ c_lessequals(V_y,V_x,T_a) ) ).
% 31.38/31.49
% 31.38/31.49 cnf(cls_sup__absorb1_0,axiom,
% 31.38/31.49 ( ~ class_Lattices_Oupper__semilattice(T_a)
% 31.38/31.49 | c_Lattices_Oupper__semilattice__class_Osup(V_x,V_y,T_a) = V_x
% 31.38/31.49 | ~ c_lessequals(V_y,V_x,T_a) ) ).
% 31.38/31.49
% 31.38/31.49 cnf(cls_le__iff__sup_1,axiom,
% 31.38/31.49 ( ~ class_Lattices_Oupper__semilattice(T_a)
% 31.38/31.49 | c_Lattices_Oupper__semilattice__class_Osup(V_x,V_y,T_a) != V_y
% 31.38/31.49 | c_lessequals(V_x,V_y,T_a) ) ).
% 31.38/31.49
% 31.38/31.49 cnf(cls_le__iff__sup_0,axiom,
% 31.38/31.49 ( ~ class_Lattices_Oupper__semilattice(T_a)
% 31.38/31.49 | c_Lattices_Oupper__semilattice__class_Osup(V_x,V_y,T_a) = V_y
% 31.38/31.49 | ~ c_lessequals(V_x,V_y,T_a) ) ).
% 31.38/31.49
% 31.38/31.49 cnf(cls_Un__absorb1_0,axiom,
% 31.38/31.49 ( c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_a,tc_bool)) = V_B
% 31.38/31.49 | ~ c_lessequals(V_A,V_B,tc_fun(T_a,tc_bool)) ) ).
% 31.38/31.49
% 31.38/31.49 cnf(cls_Un__absorb2_0,axiom,
% 31.38/31.49 ( c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_a,tc_bool)) = V_A
% 31.38/31.49 | ~ c_lessequals(V_B,V_A,tc_fun(T_a,tc_bool)) ) ).
% 31.38/31.49
% 31.38/31.49 cnf(cls_subset__Un__eq_1,axiom,
% 31.38/31.49 ( c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_a,tc_bool)) != V_B
% 31.38/31.49 | c_lessequals(V_A,V_B,tc_fun(T_a,tc_bool)) ) ).
% 31.38/31.49
% 31.38/31.49 cnf(cls_set__append_0,axiom,
% 31.38/31.49 c_List_Oset(c_List_Oappend(V_xs,V_ys,T_a),T_a) = c_Lattices_Oupper__semilattice__class_Osup(c_List_Oset(V_xs,T_a),c_List_Oset(V_ys,T_a),tc_fun(T_a,tc_bool)) ).
% 31.38/31.49
% 31.38/31.49 cnf(cls_parts__insert__subset_0,axiom,
% 31.38/31.49 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)) ).
% 31.38/31.49
% 31.38/31.49 cnf(cls_Hash__neq__HPair_0,axiom,
% 31.38/31.49 c_Message_Omsg_OHash(V_Z) != c_Message_OHPair(V_X,V_Y) ).
% 31.38/31.49
% 31.38/31.49 cnf(cls_list_Osimps_I2_J_0,axiom,
% 31.38/31.49 c_List_Olist_ONil(T_a) != c_List_Olist_OCons(V_a_H,V_list_H,T_a) ).
% 31.38/31.49
% 31.38/31.49 cnf(cls_pushes_I4_J_0,axiom,
% 31.38/31.49 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) ).
% 31.38/31.49
% 31.38/31.49 cnf(cls_msg_Osimps_I5_J_0,axiom,
% 31.38/31.49 ( c_Message_Omsg_OHash(V_msg) != c_Message_Omsg_OHash(V_msg_H)
% 31.38/31.49 | V_msg = V_msg_H ) ).
% 31.38/31.49
% 31.38/31.49 cnf(cls_analz__image__freshK__simps_I57_J_0,axiom,
% 31.38/31.49 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) ).
% 31.38/31.49
% 31.38/31.49 cnf(cls_Un__mono_0,axiom,
% 31.38/31.49 ( 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))
% 31.38/31.49 | ~ c_lessequals(V_B,V_D,tc_fun(T_a,tc_bool))
% 31.38/31.49 | ~ c_lessequals(V_A,V_C,tc_fun(T_a,tc_bool)) ) ).
% 31.38/31.49
% 31.38/31.49 cnf(cls_subset__UNIV_0,axiom,
% 31.38/31.49 c_lessequals(V_A,c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)) ).
% 31.38/31.49
% 31.38/31.49 cnf(cls_top__greatest_0,axiom,
% 31.38/31.49 ( ~ class_Orderings_Otop(T_a)
% 31.38/31.49 | c_lessequals(V_x,c_Orderings_Otop__class_Otop(T_a),T_a) ) ).
% 31.38/31.49
% 31.38/31.49 cnf(cls_insert__subset_2,axiom,
% 31.38/31.49 ( c_lessequals(c_Set_Oinsert(V_x,V_A,T_a),V_B,tc_fun(T_a,tc_bool))
% 31.38/31.49 | ~ c_lessequals(V_A,V_B,tc_fun(T_a,tc_bool))
% 31.38/31.49 | ~ hBOOL(c_in(V_x,V_B,T_a)) ) ).
% 31.38/31.49
% 31.38/31.49 cnf(cls_append__self__conv_0,axiom,
% 31.38/31.49 ( c_List_Oappend(V_xs,V_ys,T_a) != V_xs
% 31.38/31.49 | V_ys = c_List_Olist_ONil(T_a) ) ).
% 31.38/31.49
% 31.38/31.49 cnf(cls_self__append__conv_0,axiom,
% 31.38/31.49 ( V_xs != c_List_Oappend(V_xs,V_ys,T_a)
% 31.38/31.49 | V_ys = c_List_Olist_ONil(T_a) ) ).
% 31.38/31.49
% 31.38/31.49 cnf(cls_append__self__conv2_0,axiom,
% 31.38/31.49 ( c_List_Oappend(V_xs,V_ys,T_a) != V_ys
% 31.38/31.49 | V_xs = c_List_Olist_ONil(T_a) ) ).
% 31.38/31.49
% 31.38/31.49 cnf(cls_self__append__conv2_0,axiom,
% 31.38/31.49 ( V_ys != c_List_Oappend(V_xs,V_ys,T_a)
% 31.38/31.49 | V_xs = c_List_Olist_ONil(T_a) ) ).
% 31.38/31.49
% 31.38/31.49 cnf(cls_append__eq__Cons__conv_4,axiom,
% 31.38/31.49 c_List_Oappend(c_List_Olist_ONil(T_a),c_List_Olist_OCons(V_x,V_xs,T_a),T_a) = c_List_Olist_OCons(V_x,V_xs,T_a) ).
% 31.38/31.49
% 31.38/31.49 cnf(cls_synth__increasing_0,axiom,
% 31.38/31.49 c_lessequals(V_H,c_Message_Osynth(V_H),tc_fun(tc_Message_Omsg,tc_bool)) ).
% 31.38/31.49
% 31.38/31.49 cnf(cls_knows__Nil_0,axiom,
% 31.38/31.49 c_Event_Oknows(V_A,c_List_Olist_ONil(tc_Event_Oevent)) = c_Event_OinitState(V_A) ).
% 31.38/31.49
% 31.38/31.49 cnf(cls_le__sup__iff_1,axiom,
% 31.38/31.49 ( ~ class_Lattices_Oupper__semilattice(T_a)
% 31.38/31.49 | c_lessequals(V_y,V_z,T_a)
% 31.38/31.49 | ~ c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(V_x,V_y,T_a),V_z,T_a) ) ).
% 31.38/31.49
% 31.38/31.49 cnf(cls_le__sup__iff_0,axiom,
% 31.38/31.49 ( ~ class_Lattices_Oupper__semilattice(T_a)
% 31.38/31.49 | c_lessequals(V_x,V_z,T_a)
% 31.38/31.49 | ~ c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(V_x,V_y,T_a),V_z,T_a) ) ).
% 31.38/31.49
% 31.38/31.49 cnf(cls_le__supI2_0,axiom,
% 31.38/31.49 ( ~ class_Lattices_Oupper__semilattice(T_a)
% 31.38/31.49 | c_lessequals(V_x,c_Lattices_Oupper__semilattice__class_Osup(V_a,V_b,T_a),T_a)
% 31.38/31.49 | ~ c_lessequals(V_x,V_b,T_a) ) ).
% 31.38/31.49
% 31.38/31.49 cnf(cls_le__supI1_0,axiom,
% 31.38/31.49 ( ~ class_Lattices_Oupper__semilattice(T_a)
% 31.38/31.49 | c_lessequals(V_x,c_Lattices_Oupper__semilattice__class_Osup(V_a,V_b,T_a),T_a)
% 31.38/31.49 | ~ c_lessequals(V_x,V_a,T_a) ) ).
% 31.38/31.49
% 31.38/31.49 cnf(cls_le__supE_1,axiom,
% 31.38/31.49 ( ~ class_Lattices_Oupper__semilattice(T_a)
% 31.38/31.49 | c_lessequals(V_b,V_x,T_a)
% 31.38/31.49 | ~ c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(V_a,V_b,T_a),V_x,T_a) ) ).
% 31.38/31.49
% 31.38/31.49 cnf(cls_le__supE_0,axiom,
% 31.38/31.49 ( ~ class_Lattices_Oupper__semilattice(T_a)
% 31.38/31.49 | c_lessequals(V_a,V_x,T_a)
% 31.38/31.49 | ~ c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(V_a,V_b,T_a),V_x,T_a) ) ).
% 31.38/31.49
% 31.38/31.49 cnf(cls_Un__subset__iff_0,axiom,
% 31.38/31.49 ( c_lessequals(V_A,V_C,tc_fun(T_a,tc_bool))
% 31.38/31.49 | ~ 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)) ) ).
% 31.38/31.49
% 31.38/31.49 cnf(cls_Un__subset__iff_1,axiom,
% 31.38/31.49 ( c_lessequals(V_B,V_C,tc_fun(T_a,tc_bool))
% 31.38/31.49 | ~ 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)) ) ).
% 31.38/31.49
% 31.38/31.49 cnf(cls_xt1_I6_J_0,axiom,
% 31.38/31.49 ( ~ class_Orderings_Oorder(T_a)
% 31.38/31.49 | c_lessequals(V_z,V_x,T_a)
% 31.38/31.49 | ~ c_lessequals(V_z,V_y,T_a)
% 31.38/31.49 | ~ c_lessequals(V_y,V_x,T_a) ) ).
% 31.38/31.49
% 31.38/31.49 cnf(cls_order__trans_0,axiom,
% 31.38/31.49 ( ~ class_Orderings_Opreorder(T_a)
% 31.38/31.49 | c_lessequals(V_x,V_z,T_a)
% 31.38/31.49 | ~ c_lessequals(V_y,V_z,T_a)
% 31.38/31.49 | ~ c_lessequals(V_x,V_y,T_a) ) ).
% 31.38/31.49
% 31.38/31.49 cnf(cls_equalityE_0,axiom,
% 31.38/31.49 c_lessequals(V_x,V_x,tc_fun(T_a,tc_bool)) ).
% 31.38/31.49
% 31.38/31.49 cnf(cls_subset__refl_0,axiom,
% 31.38/31.49 c_lessequals(V_A,V_A,tc_fun(T_a,tc_bool)) ).
% 31.38/31.49
% 31.38/31.49 cnf(cls_subset__trans_0,axiom,
% 31.38/31.49 ( c_lessequals(V_A,V_C,tc_fun(T_a,tc_bool))
% 31.38/31.49 | ~ c_lessequals(V_B,V_C,tc_fun(T_a,tc_bool))
% 31.38/31.49 | ~ c_lessequals(V_A,V_B,tc_fun(T_a,tc_bool)) ) ).
% 31.38/31.49
% 31.38/31.49 cnf(cls_predicate1D_0,axiom,
% 31.38/31.49 ( hBOOL(hAPP(V_Q,V_x))
% 31.38/31.49 | ~ hBOOL(hAPP(V_P,V_x))
% 31.38/31.49 | ~ c_lessequals(V_P,V_Q,tc_fun(T_a,tc_bool)) ) ).
% 31.38/31.49
% 31.38/31.49 cnf(cls_order__eq__iff_0,axiom,
% 31.38/31.49 ( ~ class_Orderings_Oorder(T_a)
% 31.38/31.49 | c_lessequals(V_x,V_x,T_a) ) ).
% 31.38/31.49
% 31.38/31.49 cnf(cls_order__eq__refl_0,axiom,
% 31.38/31.49 ( ~ class_Orderings_Opreorder(T_a)
% 31.38/31.49 | c_lessequals(V_x,V_x,T_a) ) ).
% 31.38/31.49
% 31.38/31.49 cnf(cls_rev__predicate1D_0,axiom,
% 31.38/31.49 ( hBOOL(hAPP(V_Q,V_x))
% 31.38/31.49 | ~ c_lessequals(V_P,V_Q,tc_fun(T_a,tc_bool))
% 31.38/31.49 | ~ hBOOL(hAPP(V_P,V_x)) ) ).
% 31.38/31.49
% 31.38/31.49 cnf(cls_keysFor__insert__Hash_0,axiom,
% 31.38/31.49 c_Message_OkeysFor(c_Set_Oinsert(c_Message_Omsg_OHash(V_X),V_H,tc_Message_Omsg)) = c_Message_OkeysFor(V_H) ).
% 31.38/31.49
% 31.38/31.49 cnf(cls_parts__insert__subset__Un_0,axiom,
% 31.38/31.49 ( 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))
% 31.38/31.49 | ~ hBOOL(c_in(V_X,V_G,tc_Message_Omsg)) ) ).
% 31.38/31.49
% 31.38/31.49 cnf(cls_analzp_OInj_0,axiom,
% 31.38/31.49 ( c_Message_Oanalzp(V_H,V_X)
% 31.38/31.49 | ~ hBOOL(hAPP(V_H,V_X)) ) ).
% 31.38/31.49
% 31.38/31.49 cnf(cls_keysFor__insert__HPair_0,axiom,
% 31.38/31.49 c_Message_OkeysFor(c_Set_Oinsert(c_Message_OHPair(V_X,V_Y),V_H,tc_Message_Omsg)) = c_Message_OkeysFor(V_H) ).
% 31.38/31.49
% 31.38/31.49 cnf(cls_image__mono_0,axiom,
% 31.38/31.49 ( 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))
% 31.38/31.49 | ~ c_lessequals(V_A,V_B,tc_fun(T_a,tc_bool)) ) ).
% 31.38/31.49
% 31.38/31.49 cnf(cls_subset__image__iff_2,axiom,
% 31.38/31.49 ( ~ c_lessequals(V_x,V_A,tc_fun(T_b,tc_bool))
% 31.38/31.49 | 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)) ) ).
% 31.38/31.49
% 31.38/31.49 cnf(cls_insert__mono_0,axiom,
% 31.38/31.49 ( 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))
% 31.38/31.49 | ~ c_lessequals(V_C,V_D,tc_fun(T_a,tc_bool)) ) ).
% 31.38/31.49
% 31.38/31.49 cnf(cls_append1__eq__conv_0,axiom,
% 31.38/31.49 ( c_List_Oappend(V_xs,c_List_Olist_OCons(V_x,c_List_Olist_ONil(T_a),T_a),T_a) != c_List_Oappend(V_ys,c_List_Olist_OCons(V_y,c_List_Olist_ONil(T_a),T_a),T_a)
% 31.38/31.49 | V_xs = V_ys ) ).
% 31.38/31.49
% 31.38/31.49 cnf(cls_append1__eq__conv_1,axiom,
% 31.38/31.49 ( c_List_Oappend(V_xs,c_List_Olist_OCons(V_x,c_List_Olist_ONil(T_a),T_a),T_a) != c_List_Oappend(V_ys,c_List_Olist_OCons(V_y,c_List_Olist_ONil(T_a),T_a),T_a)
% 31.38/31.49 | V_x = V_y ) ).
% 31.38/31.49
% 31.38/31.49 cnf(cls_append__is__Nil__conv_2,axiom,
% 31.38/31.49 c_List_Oappend(c_List_Olist_ONil(T_a),c_List_Olist_ONil(T_a),T_a) = c_List_Olist_ONil(T_a) ).
% 31.38/31.49
% 31.38/31.49 cnf(cls_image__Un_0,axiom,
% 31.38/31.49 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)) ).
% 31.38/31.49
% 31.38/31.49 cnf(cls_analz__insert_0,axiom,
% 31.38/31.49 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)) ).
% 31.38/31.49
% 31.38/31.49 cnf(cls_analz__subset__cong_0,axiom,
% 31.38/31.49 ( 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))
% 31.38/31.49 | ~ c_lessequals(c_Message_Oanalz(V_H),c_Message_Oanalz(V_H_H),tc_fun(tc_Message_Omsg,tc_bool))
% 31.38/31.49 | ~ c_lessequals(c_Message_Oanalz(V_G),c_Message_Oanalz(V_G_H),tc_fun(tc_Message_Omsg,tc_bool)) ) ).
% 31.38/31.49
% 31.38/31.49 cnf(cls_append__assoc_0,axiom,
% 31.38/31.49 c_List_Oappend(c_List_Oappend(V_xs,V_ys,T_a),V_zs,T_a) = c_List_Oappend(V_xs,c_List_Oappend(V_ys,V_zs,T_a),T_a) ).
% 31.38/31.49
% 31.38/31.49 cnf(cls_append__eq__appendI_0,axiom,
% 31.38/31.49 c_List_Oappend(V_xs,c_List_Oappend(V_xs1,V_us,T_a),T_a) = c_List_Oappend(c_List_Oappend(V_xs,V_xs1,T_a),V_us,T_a) ).
% 31.38/31.49
% 31.38/31.49 cnf(cls_append__eq__append__conv2_4,axiom,
% 31.38/31.49 c_List_Oappend(c_List_Oappend(V_zs,V_x,T_a),V_ys,T_a) = c_List_Oappend(V_zs,c_List_Oappend(V_x,V_ys,T_a),T_a) ).
% 31.38/31.49
% 31.38/31.49 cnf(cls_append__eq__append__conv2_5,axiom,
% 31.38/31.49 c_List_Oappend(V_xs,c_List_Oappend(V_x,V_ts,T_a),T_a) = c_List_Oappend(c_List_Oappend(V_xs,V_x,T_a),V_ts,T_a) ).
% 31.38/31.49
% 31.38/31.49 cnf(cls_linorder__linear_0,axiom,
% 31.38/31.49 ( ~ class_Orderings_Olinorder(T_a)
% 31.38/31.49 | c_lessequals(V_y,V_x,T_a)
% 31.38/31.49 | c_lessequals(V_x,V_y,T_a) ) ).
% 31.38/31.49
% 31.38/31.49 cnf(cls_analz__image__freshK__lemma_5,axiom,
% 31.38/31.49 ( hBOOL(c_in(hAPP(c_Message_Omsg_OKey,V_K),c_Message_Oanalz(c_Lattices_Oupper__semilattice__class_Osup(c_Set_Oimage(c_Message_Omsg_OKey,V_nE,tc_nat,tc_Message_Omsg),V_H,tc_fun(tc_Message_Omsg,tc_bool))),tc_Message_Omsg))
% 31.38/31.49 | ~ hBOOL(c_in(hAPP(c_Message_Omsg_OKey,V_K),c_Message_Oanalz(V_H),tc_Message_Omsg))
% 31.38/31.49 | ~ hBOOL(c_in(hAPP(c_Message_Omsg_OKey,V_K),c_Message_Oanalz(V_H),tc_Message_Omsg)) ) ).
% 31.38/31.49
% 31.38/31.49 cnf(cls_analz__image__freshK__lemma_1,axiom,
% 31.38/31.49 ( hBOOL(c_in(hAPP(c_Message_Omsg_OKey,V_K),c_Message_Oanalz(c_Lattices_Oupper__semilattice__class_Osup(c_Set_Oimage(c_Message_Omsg_OKey,V_nE,tc_nat,tc_Message_Omsg),V_H,tc_fun(tc_Message_Omsg,tc_bool))),tc_Message_Omsg))
% 31.38/31.49 | ~ hBOOL(c_in(hAPP(c_Message_Omsg_OKey,V_K),c_Message_Oanalz(V_H),tc_Message_Omsg))
% 31.38/31.49 | hBOOL(c_in(hAPP(c_Message_Omsg_OKey,V_K),c_Message_Oanalz(c_Lattices_Oupper__semilattice__class_Osup(c_Set_Oimage(c_Message_Omsg_OKey,V_nE,tc_nat,tc_Message_Omsg),V_H,tc_fun(tc_Message_Omsg,tc_bool))),tc_Message_Omsg)) ) ).
% 31.38/31.49
% 31.38/31.49 cnf(cls_image__subset__iff_0,axiom,
% 31.38/31.49 ( hBOOL(c_in(hAPP(V_f,V_x),V_B,T_a))
% 31.38/31.49 | ~ hBOOL(c_in(V_x,V_A,T_b))
% 31.38/31.49 | ~ c_lessequals(c_Set_Oimage(V_f,V_A,T_b,T_a),V_B,tc_fun(T_a,tc_bool)) ) ).
% 31.38/31.49
% 31.38/31.49 cnf(cls_set__subset__Cons_0,axiom,
% 31.38/31.49 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)) ).
% 31.38/31.49
% 31.38/31.49 cnf(cls_in__parts__UnE_0,axiom,
% 31.38/31.49 ( hBOOL(c_in(V_c,c_Message_Oparts(V_H),tc_Message_Omsg))
% 31.38/31.49 | hBOOL(c_in(V_c,c_Message_Oparts(V_G),tc_Message_Omsg))
% 31.38/31.49 | ~ hBOOL(c_in(V_c,c_Message_Oparts(c_Lattices_Oupper__semilattice__class_Osup(V_G,V_H,tc_fun(tc_Message_Omsg,tc_bool))),tc_Message_Omsg)) ) ).
% 31.38/31.49
% 31.38/31.49 cnf(cls_parts__trans_0,axiom,
% 31.38/31.49 ( hBOOL(c_in(V_X,c_Message_Oparts(V_H),tc_Message_Omsg))
% 31.38/31.49 | ~ c_lessequals(V_G,c_Message_Oparts(V_H),tc_fun(tc_Message_Omsg,tc_bool))
% 31.38/31.49 | ~ hBOOL(c_in(V_X,c_Message_Oparts(V_G),tc_Message_Omsg)) ) ).
% 31.38/31.49
% 31.38/31.49 cnf(cls_analz__image__freshK__simps_I61_J_0,axiom,
% 31.38/31.49 ( hBOOL(c_in(V_c,c_Message_Oanalz(c_Lattices_Oupper__semilattice__class_Osup(V_A,V_G,tc_fun(tc_Message_Omsg,tc_bool))),tc_Message_Omsg))
% 31.38/31.49 | ~ hBOOL(c_in(V_c,c_Message_Oanalz(V_G),tc_Message_Omsg)) ) ).
% 31.38/31.49
% 31.38/31.49 cnf(cls_analz__trans_0,axiom,
% 31.38/31.49 ( hBOOL(c_in(V_X,c_Message_Oanalz(V_H),tc_Message_Omsg))
% 31.38/31.49 | ~ c_lessequals(V_G,c_Message_Oanalz(V_H),tc_fun(tc_Message_Omsg,tc_bool))
% 31.38/31.49 | ~ hBOOL(c_in(V_X,c_Message_Oanalz(V_G),tc_Message_Omsg)) ) ).
% 31.38/31.49
% 31.38/31.49 cnf(cls_top__fun__eq_0,axiom,
% 31.38/31.49 ( ~ class_Orderings_Otop(T_b)
% 31.38/31.49 | hAPP(c_Orderings_Otop__class_Otop(tc_fun(t_a,T_b)),v_x) = c_Orderings_Otop__class_Otop(T_b) ) ).
% 31.38/31.49
% 31.38/31.49 cnf(cls_HPair__synth__analz_2,axiom,
% 31.38/31.49 ( hBOOL(c_in(c_Message_OHPair(V_X,V_Y),c_Message_Osynth(c_Message_Oanalz(V_H)),tc_Message_Omsg))
% 31.38/31.49 | ~ hBOOL(c_in(V_Y,c_Message_Osynth(c_Message_Oanalz(V_H)),tc_Message_Omsg))
% 31.38/31.49 | ~ hBOOL(c_in(c_Message_Omsg_OHash(c_Message_Omsg_OMPair(V_X,V_Y)),c_Message_Oanalz(V_H),tc_Message_Omsg))
% 31.38/31.49 | hBOOL(c_in(V_X,c_Message_Osynth(c_Message_Oanalz(V_H)),tc_Message_Omsg)) ) ).
% 31.38/31.49
% 31.38/31.49 cnf(cls_HPair__synth__analz_0,axiom,
% 31.38/31.49 ( hBOOL(c_in(c_Message_Omsg_OHash(c_Message_Omsg_OMPair(V_X,V_Y)),c_Message_Oanalz(V_H),tc_Message_Omsg))
% 31.38/31.49 | ~ hBOOL(c_in(c_Message_OHPair(V_X,V_Y),c_Message_Osynth(c_Message_Oanalz(V_H)),tc_Message_Omsg))
% 31.38/31.49 | hBOOL(c_in(V_X,c_Message_Osynth(c_Message_Oanalz(V_H)),tc_Message_Omsg)) ) ).
% 31.38/31.49
% 31.38/31.49 cnf(cls_parts__image__Key_0,axiom,
% 31.38/31.49 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) ).
% 31.38/31.49
% 31.38/31.49 cnf(cls_analz__subset__parts_0,axiom,
% 31.38/31.49 c_lessequals(c_Message_Oanalz(V_H),c_Message_Oparts(V_H),tc_fun(tc_Message_Omsg,tc_bool)) ).
% 31.38/31.49
% 31.38/31.49 cnf(cls_Hash__synth_0,axiom,
% 31.38/31.49 ( hBOOL(c_in(V_X,c_Message_Osynth(V_H),tc_Message_Omsg))
% 31.38/31.49 | hBOOL(c_in(c_Message_Omsg_OHash(V_X),V_H,tc_Message_Omsg))
% 31.38/31.49 | ~ hBOOL(c_in(c_Message_Omsg_OHash(V_X),c_Message_Osynth(V_H),tc_Message_Omsg)) ) ).
% 31.38/31.49
% 31.38/31.49 cnf(cls_synth__trans_0,axiom,
% 31.38/31.49 ( hBOOL(c_in(V_X,c_Message_Osynth(V_H),tc_Message_Omsg))
% 31.38/31.49 | ~ c_lessequals(V_G,c_Message_Osynth(V_H),tc_fun(tc_Message_Omsg,tc_bool))
% 31.38/31.49 | ~ hBOOL(c_in(V_X,c_Message_Osynth(V_G),tc_Message_Omsg)) ) ).
% 31.38/31.49
% 31.38/31.49 cnf(cls_synth_OHash_0,axiom,
% 31.38/31.49 ( hBOOL(c_in(c_Message_Omsg_OHash(V_X),c_Message_Osynth(V_H),tc_Message_Omsg))
% 31.38/31.49 | ~ hBOOL(c_in(V_X,c_Message_Osynth(V_H),tc_Message_Omsg)) ) ).
% 31.38/31.49
% 31.38/31.49 cnf(cls_analz__image__freshK__lemma_3,axiom,
% 31.38/31.49 ( hBOOL(c_in(hAPP(c_Message_Omsg_OKey,V_K),c_Message_Oanalz(c_Lattices_Oupper__semilattice__class_Osup(c_Set_Oimage(c_Message_Omsg_OKey,V_nE,tc_nat,tc_Message_Omsg),V_H,tc_fun(tc_Message_Omsg,tc_bool))),tc_Message_Omsg))
% 31.38/31.49 | ~ hBOOL(c_in(hAPP(c_Message_Omsg_OKey,V_K),c_Message_Oanalz(V_H),tc_Message_Omsg))
% 31.38/31.49 | ~ hBOOL(c_in(V_K,V_nE,tc_nat)) ) ).
% 31.38/31.49
% 31.38/31.49 cnf(cls_analz__image__freshK__lemma_4,axiom,
% 31.38/31.49 ( hBOOL(c_in(hAPP(c_Message_Omsg_OKey,V_K),c_Message_Oanalz(c_Lattices_Oupper__semilattice__class_Osup(c_Set_Oimage(c_Message_Omsg_OKey,V_nE,tc_nat,tc_Message_Omsg),V_H,tc_fun(tc_Message_Omsg,tc_bool))),tc_Message_Omsg))
% 31.38/31.49 | ~ hBOOL(c_in(V_K,V_nE,tc_nat))
% 31.38/31.49 | ~ hBOOL(c_in(hAPP(c_Message_Omsg_OKey,V_K),c_Message_Oanalz(V_H),tc_Message_Omsg)) ) ).
% 31.38/31.49
% 31.38/31.49 cnf(cls_analz__image__freshK__lemma_0,axiom,
% 31.38/31.49 ( hBOOL(c_in(hAPP(c_Message_Omsg_OKey,V_K),c_Message_Oanalz(c_Lattices_Oupper__semilattice__class_Osup(c_Set_Oimage(c_Message_Omsg_OKey,V_nE,tc_nat,tc_Message_Omsg),V_H,tc_fun(tc_Message_Omsg,tc_bool))),tc_Message_Omsg))
% 31.38/31.49 | ~ hBOOL(c_in(V_K,V_nE,tc_nat))
% 31.38/31.49 | hBOOL(c_in(hAPP(c_Message_Omsg_OKey,V_K),c_Message_Oanalz(c_Lattices_Oupper__semilattice__class_Osup(c_Set_Oimage(c_Message_Omsg_OKey,V_nE,tc_nat,tc_Message_Omsg),V_H,tc_fun(tc_Message_Omsg,tc_bool))),tc_Message_Omsg)) ) ).
% 31.38/31.49
% 31.38/31.49 cnf(cls_analz__image__freshK__lemma_2,axiom,
% 31.38/31.49 ( hBOOL(c_in(hAPP(c_Message_Omsg_OKey,V_K),c_Message_Oanalz(c_Lattices_Oupper__semilattice__class_Osup(c_Set_Oimage(c_Message_Omsg_OKey,V_nE,tc_nat,tc_Message_Omsg),V_H,tc_fun(tc_Message_Omsg,tc_bool))),tc_Message_Omsg))
% 31.38/31.49 | ~ hBOOL(c_in(V_K,V_nE,tc_nat))
% 31.38/31.49 | ~ hBOOL(c_in(V_K,V_nE,tc_nat)) ) ).
% 31.38/31.49
% 31.38/31.49 cnf(cls_analz__image__Key_0,axiom,
% 31.38/31.49 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) ).
% 31.38/31.49
% 31.38/31.49 cnf(cls_parts__synth_0,axiom,
% 31.38/31.49 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)) ).
% 31.38/31.49
% 31.38/31.49 cnf(cls_synth__analz__mono_0,axiom,
% 31.38/31.49 ( 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))
% 31.38/31.49 | ~ c_lessequals(V_G,V_H,tc_fun(tc_Message_Omsg,tc_bool)) ) ).
% 31.38/31.49
% 31.38/31.49 cnf(cls_analz__synth_0,axiom,
% 31.38/31.49 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)) ).
% 31.38/31.49
% 31.38/31.49 cnf(cls_analz__synth__Un_0,axiom,
% 31.38/31.49 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)) ).
% 31.38/31.49
% 31.38/31.49 cnf(cls_invKey__image__eq_0,axiom,
% 31.38/31.49 ( hBOOL(c_in(V_x,V_A,tc_nat))
% 31.38/31.49 | ~ hBOOL(c_in(hAPP(c_Message_OinvKey,V_x),c_Set_Oimage(c_Message_OinvKey,V_A,tc_nat,tc_nat),tc_nat)) ) ).
% 31.38/31.49
% 31.38/31.49 cnf(cls_invKey__image__eq_1,axiom,
% 31.38/31.49 ( hBOOL(c_in(hAPP(c_Message_OinvKey,V_x),c_Set_Oimage(c_Message_OinvKey,V_A,tc_nat,tc_nat),tc_nat))
% 31.38/31.49 | ~ hBOOL(c_in(V_x,V_A,tc_nat)) ) ).
% 31.38/31.49
% 31.38/31.49 cnf(cls_spies__Gets__rev_0,axiom,
% 31.38/31.49 c_Event_Oknows(c_Message_Oagent_OSpy,c_List_Oappend(V_evs,c_List_Olist_OCons(c_Event_Oevent_OGets(V_A,V_X),c_List_Olist_ONil(tc_Event_Oevent),tc_Event_Oevent),tc_Event_Oevent)) = c_Event_Oknows(c_Message_Oagent_OSpy,V_evs) ).
% 31.38/31.49
% 31.38/31.49 cnf(cls_knows__subset__knows__Cons_0,axiom,
% 31.38/31.49 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)) ).
% 31.38/31.49
% 31.38/31.49 cnf(cls_ns__shared_ONil_0,axiom,
% 31.38/31.49 hBOOL(c_in(c_List_Olist_ONil(tc_Event_Oevent),c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))) ).
% 31.38/31.49
% 31.38/31.49 cnf(cls_analz__insert__eq__I_0,axiom,
% 31.38/31.49 ( 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)
% 31.38/31.49 | hBOOL(c_in(c_Message_Osko__Message__Xanalz__insert__eq__I__1__1(V_H,V_X),c_Message_Oanalz(c_Set_Oinsert(V_X,V_H,tc_Message_Omsg)),tc_Message_Omsg)) ) ).
% 31.38/31.49
% 31.38/31.49 cnf(cls_analz__insert__eq__I_1,axiom,
% 31.38/31.49 ( 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)
% 31.38/31.49 | ~ hBOOL(c_in(c_Message_Osko__Message__Xanalz__insert__eq__I__1__1(V_H,V_X),c_Set_Oinsert(V_X,c_Message_Oanalz(V_H),tc_Message_Omsg),tc_Message_Omsg)) ) ).
% 31.38/31.49
% 31.38/31.49 cnf(cls_Nonce__notin__initState_0,axiom,
% 31.38/31.49 ~ hBOOL(c_in(c_Message_Omsg_ONonce(V_N),c_Message_Oparts(c_Event_OinitState(V_B)),tc_Message_Omsg)) ).
% 31.38/31.49
% 31.38/31.49 cnf(cls_HPair__synth__analz_1,axiom,
% 31.38/31.49 ( hBOOL(c_in(V_Y,c_Message_Osynth(c_Message_Oanalz(V_H)),tc_Message_Omsg))
% 31.38/31.49 | ~ hBOOL(c_in(c_Message_OHPair(V_X,V_Y),c_Message_Osynth(c_Message_Oanalz(V_H)),tc_Message_Omsg))
% 31.38/31.49 | hBOOL(c_in(V_X,c_Message_Osynth(c_Message_Oanalz(V_H)),tc_Message_Omsg)) ) ).
% 31.38/31.49
% 31.38/31.49 cnf(cls_Key__image__eq_1,axiom,
% 31.38/31.49 ( hBOOL(c_in(hAPP(c_Message_Omsg_OKey,V_x),c_Set_Oimage(c_Message_Omsg_OKey,V_A,tc_nat,tc_Message_Omsg),tc_Message_Omsg))
% 31.38/31.49 | ~ hBOOL(c_in(V_x,V_A,tc_nat)) ) ).
% 31.38/31.49
% 31.38/31.49 cnf(cls_Key__image__eq_0,axiom,
% 31.38/31.49 ( hBOOL(c_in(V_x,V_A,tc_nat))
% 31.38/31.49 | ~ hBOOL(c_in(hAPP(c_Message_Omsg_OKey,V_x),c_Set_Oimage(c_Message_Omsg_OKey,V_A,tc_nat,tc_Message_Omsg),tc_Message_Omsg)) ) ).
% 31.38/31.49
% 31.38/31.49 cnf(cls_Nonce__Key__image__eq_0,axiom,
% 31.38/31.49 ~ hBOOL(c_in(c_Message_Omsg_ONonce(V_x),c_Set_Oimage(c_Message_Omsg_OKey,V_A,tc_nat,tc_Message_Omsg),tc_Message_Omsg)) ).
% 31.38/31.49
% 31.38/31.49 cnf(cls_analz__insert__Crypt__subset_0,axiom,
% 31.38/31.49 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)) ).
% 31.38/31.49
% 31.38/31.49 cnf(cls_shrK__in__initState_0,axiom,
% 31.38/31.49 hBOOL(c_in(hAPP(c_Message_Omsg_OKey,hAPP(c_Public_OshrK,V_A)),c_Event_OinitState(V_A),tc_Message_Omsg)) ).
% 31.38/31.49
% 31.38/31.49 cnf(cls_publicKey__in__initState_0,axiom,
% 31.38/31.49 hBOOL(c_in(hAPP(c_Message_Omsg_OKey,hAPP(c_Public_OpublicKey(V_b),V_A)),c_Event_OinitState(V_B),tc_Message_Omsg)) ).
% 31.38/31.49
% 31.38/31.49 cnf(cls_initState__into__used_0,axiom,
% 31.38/31.49 ( hBOOL(c_in(V_X,c_Event_Oused(V_evs),tc_Message_Omsg))
% 31.38/31.49 | ~ hBOOL(c_in(V_X,c_Message_Oparts(c_Event_OinitState(V_B)),tc_Message_Omsg)) ) ).
% 31.38/31.49
% 31.38/31.49 cnf(cls_Crypt__notin__used__empty_0,axiom,
% 31.38/31.49 ~ hBOOL(c_in(c_Message_Omsg_OCrypt(V_K,V_X),c_Event_Oused(c_List_Olist_ONil(tc_Event_Oevent)),tc_Message_Omsg)) ).
% 31.38/31.49
% 31.38/31.49 cnf(cls_analzp_ODecrypt_0,axiom,
% 31.38/31.49 ( c_Message_Oanalzp(V_H,V_X)
% 31.38/31.49 | ~ c_Message_Oanalzp(V_H,hAPP(c_Message_Omsg_OKey,hAPP(c_Message_OinvKey,V_K)))
% 31.38/31.49 | ~ c_Message_Oanalzp(V_H,c_Message_Omsg_OCrypt(V_K,V_X)) ) ).
% 31.38/31.49
% 31.38/31.49 cnf(cls_Nonce__supply1_0,axiom,
% 31.38/31.49 ~ hBOOL(c_in(c_Message_Omsg_ONonce(c_Public_Osko__Public__XNonce__supply1__1__1(V_evs)),c_Event_Oused(V_evs),tc_Message_Omsg)) ).
% 31.38/31.49
% 31.38/31.49 cnf(cls_Nonce__notin__used__empty_0,axiom,
% 31.38/31.49 ~ hBOOL(c_in(c_Message_Omsg_ONonce(V_N),c_Event_Oused(c_List_Olist_ONil(tc_Event_Oevent)),tc_Message_Omsg)) ).
% 31.38/31.49
% 31.38/31.49 cnf(cls_knows__subset__knows__Says_0,axiom,
% 31.38/31.49 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)) ).
% 31.38/31.49
% 31.38/31.49 cnf(cls_priEK__noteq__shrK_0,axiom,
% 31.38/31.49 hAPP(c_Message_OinvKey,hAPP(c_Public_OpublicKey(c_Public_Okeymode_OEncryption),V_A)) != hAPP(c_Public_OshrK,V_B) ).
% 31.38/31.49
% 31.38/31.49 cnf(cls_knows__subset__knows__Notes_0,axiom,
% 31.38/31.49 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)) ).
% 31.38/31.49
% 31.38/31.49 cnf(cls_spies__Notes__rev_1,axiom,
% 31.38/31.49 ( c_Event_Oknows(c_Message_Oagent_OSpy,c_List_Oappend(V_evs,c_List_Olist_OCons(c_Event_Oevent_ONotes(V_A,V_X),c_List_Olist_ONil(tc_Event_Oevent),tc_Event_Oevent),tc_Event_Oevent)) = c_Event_Oknows(c_Message_Oagent_OSpy,V_evs)
% 31.38/31.49 | hBOOL(c_in(V_A,c_Event_Obad,tc_Message_Oagent)) ) ).
% 31.38/31.49
% 31.38/31.49 cnf(cls_knows__subset__knows__Gets_0,axiom,
% 31.38/31.49 c_lessequals(c_Event_Oknows(V_A,V_evs),c_Event_Oknows(V_A,c_List_Olist_OCons(c_Event_Oevent_OGets(V_A_H,V_X),V_evs,tc_Event_Oevent)),tc_fun(tc_Message_Omsg,tc_bool)) ).
% 31.38/31.49
% 31.38/31.49 cnf(cls_ns__sharedp__ns__shared__eq_0,axiom,
% 31.38/31.49 c_NS__Shared__Mirabelle_Ons__sharedp(v_x) = c_in(v_x,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent)) ).
% 31.38/31.49
% 31.38/31.49 cnf(cls_spies__Notes__rev_0,axiom,
% 31.38/31.49 ( c_Event_Oknows(c_Message_Oagent_OSpy,c_List_Oappend(V_evs,c_List_Olist_OCons(c_Event_Oevent_ONotes(V_A,V_X),c_List_Olist_ONil(tc_Event_Oevent),tc_Event_Oevent),tc_Event_Oevent)) = c_Set_Oinsert(V_X,c_Event_Oknows(c_Message_Oagent_OSpy,V_evs),tc_Message_Omsg)
% 31.38/31.49 | ~ hBOOL(c_in(V_A,c_Event_Obad,tc_Message_Oagent)) ) ).
% 31.38/31.49
% 31.38/31.49 cnf(cls_Hash__synth__analz_1,axiom,
% 31.38/31.49 ( hBOOL(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))
% 31.38/31.49 | ~ hBOOL(c_in(c_Message_Omsg_OHash(c_Message_Omsg_OMPair(V_X,V_Y)),c_Message_Oanalz(V_H),tc_Message_Omsg))
% 31.38/31.49 | hBOOL(c_in(V_X,c_Message_Osynth(c_Message_Oanalz(V_H)),tc_Message_Omsg)) ) ).
% 31.38/31.49
% 31.38/31.49 cnf(cls_Hash__synth__analz_0,axiom,
% 31.38/31.49 ( hBOOL(c_in(c_Message_Omsg_OHash(c_Message_Omsg_OMPair(V_X,V_Y)),c_Message_Oanalz(V_H),tc_Message_Omsg))
% 31.38/31.49 | ~ hBOOL(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))
% 31.38/31.49 | hBOOL(c_in(V_X,c_Message_Osynth(c_Message_Oanalz(V_H)),tc_Message_Omsg)) ) ).
% 31.38/31.49
% 31.38/31.49 cnf(cls_priK__in__initState_0,axiom,
% 31.38/31.49 hBOOL(c_in(hAPP(c_Message_Omsg_OKey,hAPP(c_Message_OinvKey,hAPP(c_Public_OpublicKey(V_b),V_A))),c_Event_OinitState(V_A),tc_Message_Omsg)) ).
% 31.38/31.49
% 31.38/31.49 cnf(cls_parts__knows__Spy__subset__used_0,axiom,
% 31.38/31.49 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)) ).
% 31.38/31.49
% 31.38/31.49 cnf(cls_knows__Spy__subset__knows__Spy__Says_0,axiom,
% 31.38/31.49 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)) ).
% 31.38/31.49
% 31.38/31.49 cnf(cls_knows__imp__Says__Gets__Notes__initState_0,axiom,
% 31.38/31.49 ( hBOOL(c_in(V_X,c_Event_OinitState(V_A),tc_Message_Omsg))
% 31.38/31.49 | hBOOL(c_in(c_Event_Oevent_ONotes(V_A,V_X),c_List_Oset(V_evs,tc_Event_Oevent),tc_Event_Oevent))
% 31.38/31.49 | hBOOL(c_in(c_Event_Oevent_OGets(V_A,V_X),c_List_Oset(V_evs,tc_Event_Oevent),tc_Event_Oevent))
% 31.38/31.49 | hBOOL(c_in(c_Event_Oevent_OSays(V_A,c_Event_Osko__Event__Xknows__imp__Says__Gets__Notes__initState__1__1(V_A,V_X,V_evs),V_X),c_List_Oset(V_evs,tc_Event_Oevent),tc_Event_Oevent))
% 31.38/31.49 | V_A = c_Message_Oagent_OSpy
% 31.38/31.49 | ~ hBOOL(c_in(V_X,c_Event_Oknows(V_A,V_evs),tc_Message_Omsg)) ) ).
% 31.38/31.49
% 31.38/31.49 cnf(cls_keysFor__insert__Crypt_0,axiom,
% 31.38/31.49 c_Message_OkeysFor(c_Set_Oinsert(c_Message_Omsg_OCrypt(V_K,V_X),V_H,tc_Message_Omsg)) = c_Set_Oinsert(hAPP(c_Message_OinvKey,V_K),c_Message_OkeysFor(V_H),tc_nat) ).
% 31.38/31.49
% 31.38/31.49 cnf(cls_knows__Spy__subset__knows__Spy__Notes_0,axiom,
% 31.38/31.49 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)) ).
% 31.38/31.49
% 31.38/31.49 cnf(cls_knows__Spy__subset__knows__Spy__Gets_0,axiom,
% 31.38/31.49 c_lessequals(c_Event_Oknows(c_Message_Oagent_OSpy,V_evs),c_Event_Oknows(c_Message_Oagent_OSpy,c_List_Olist_OCons(c_Event_Oevent_OGets(V_A,V_X),V_evs,tc_Event_Oevent)),tc_fun(tc_Message_Omsg,tc_bool)) ).
% 31.38/31.49
% 31.38/31.49 cnf(cls_publicKey__notin__image__privateKey_0,axiom,
% 31.38/31.49 ~ hBOOL(c_in(hAPP(c_Public_OpublicKey(V_b),V_A),c_Set_Oimage(c_Message_OinvKey,c_Set_Oimage(c_Public_OpublicKey(V_c),V_AS,tc_Message_Oagent,tc_nat),tc_nat,tc_nat),tc_nat)) ).
% 31.38/31.49
% 31.38/31.49 cnf(cls_privateKey__image__eq_0,axiom,
% 31.38/31.49 ( V_b = V_c
% 31.38/31.49 | ~ hBOOL(c_in(hAPP(c_Message_OinvKey,hAPP(c_Public_OpublicKey(V_b),V_A)),c_Set_Oimage(c_Message_OinvKey,c_Set_Oimage(c_Public_OpublicKey(V_c),V_AS,tc_Message_Oagent,tc_nat),tc_nat,tc_nat),tc_nat)) ) ).
% 31.38/31.49
% 31.38/31.49 cnf(cls_symKey__neq__priEK_0,axiom,
% 31.38/31.49 ~ hBOOL(c_in(hAPP(c_Message_OinvKey,hAPP(c_Public_OpublicKey(c_Public_Okeymode_OEncryption),V_A)),c_Message_OsymKeys,tc_nat)) ).
% 31.38/31.49
% 31.38/31.49 cnf(cls_Issues__def_0,axiom,
% 31.38/31.49 ( hBOOL(c_in(c_Event_Oevent_OSays(V_A,V_B,v_sko__NS__Shared__Mirabelle__XIssues__def__1(V_A,V_B,V_X,V_evs)),c_List_Oset(V_evs,tc_Event_Oevent),tc_Event_Oevent))
% 31.38/31.49 | ~ c_NS__Shared__Mirabelle_OIssues(V_A,V_B,V_X,V_evs) ) ).
% 31.38/31.49
% 31.38/31.49 cnf(cls_Fake__parts__insert__in__Un_0,axiom,
% 31.38/31.49 ( hBOOL(c_in(V_Z,c_Lattices_Oupper__semilattice__class_Osup(c_Message_Osynth(c_Message_Oanalz(V_H)),c_Message_Oparts(V_H),tc_fun(tc_Message_Omsg,tc_bool)),tc_Message_Omsg))
% 31.38/31.49 | ~ hBOOL(c_in(V_X,c_Message_Osynth(c_Message_Oanalz(V_H)),tc_Message_Omsg))
% 31.38/31.49 | ~ hBOOL(c_in(V_Z,c_Message_Oparts(c_Set_Oinsert(V_X,V_H,tc_Message_Omsg)),tc_Message_Omsg)) ) ).
% 31.38/31.49
% 31.38/31.49 cnf(cls_synth__analz__insert__eq_1,axiom,
% 31.38/31.49 ( hBOOL(c_in(hAPP(c_Message_Omsg_OKey,V_K),c_Message_Oanalz(c_Set_Oinsert(V_X,V_G,tc_Message_Omsg)),tc_Message_Omsg))
% 31.38/31.49 | ~ hBOOL(c_in(hAPP(c_Message_Omsg_OKey,V_K),c_Message_Oanalz(V_G),tc_Message_Omsg))
% 31.38/31.49 | ~ c_lessequals(V_H,V_G,tc_fun(tc_Message_Omsg,tc_bool))
% 31.38/31.49 | ~ hBOOL(c_in(V_X,c_Message_Osynth(c_Message_Oanalz(V_H)),tc_Message_Omsg)) ) ).
% 31.38/31.49
% 31.38/31.49 cnf(cls_synth__analz__insert__eq_0,axiom,
% 31.38/31.49 ( hBOOL(c_in(hAPP(c_Message_Omsg_OKey,V_K),c_Message_Oanalz(V_G),tc_Message_Omsg))
% 31.38/31.49 | ~ hBOOL(c_in(hAPP(c_Message_Omsg_OKey,V_K),c_Message_Oanalz(c_Set_Oinsert(V_X,V_G,tc_Message_Omsg)),tc_Message_Omsg))
% 31.38/31.49 | ~ c_lessequals(V_H,V_G,tc_fun(tc_Message_Omsg,tc_bool))
% 31.38/31.49 | ~ hBOOL(c_in(V_X,c_Message_Osynth(c_Message_Oanalz(V_H)),tc_Message_Omsg)) ) ).
% 31.38/31.49
% 31.38/31.49 cnf(cls_shrK__notin__image__privateKey_0,axiom,
% 31.38/31.49 ~ hBOOL(c_in(hAPP(c_Public_OshrK,V_x),c_Set_Oimage(c_Message_OinvKey,c_Set_Oimage(c_Public_OpublicKey(V_b),V_AA,tc_Message_Oagent,tc_nat),tc_nat,tc_nat),tc_nat)) ).
% 31.38/31.49
% 31.38/31.49 cnf(cls_privateKey__image__eq_2,axiom,
% 31.38/31.49 ( hBOOL(c_in(hAPP(c_Message_OinvKey,hAPP(c_Public_OpublicKey(V_x),V_A)),c_Set_Oimage(c_Message_OinvKey,c_Set_Oimage(c_Public_OpublicKey(V_x),V_AS,tc_Message_Oagent,tc_nat),tc_nat,tc_nat),tc_nat))
% 31.38/31.49 | ~ hBOOL(c_in(V_A,V_AS,tc_Message_Oagent)) ) ).
% 31.38/31.49
% 31.38/31.49 cnf(cls_privateKey__image__eq_1,axiom,
% 31.38/31.49 ( hBOOL(c_in(V_A,V_AS,tc_Message_Oagent))
% 31.38/31.49 | ~ hBOOL(c_in(hAPP(c_Message_OinvKey,hAPP(c_Public_OpublicKey(V_b),V_A)),c_Set_Oimage(c_Message_OinvKey,c_Set_Oimage(c_Public_OpublicKey(V_c),V_AS,tc_Message_Oagent,tc_nat),tc_nat,tc_nat),tc_nat)) ) ).
% 31.38/31.49
% 31.38/31.49 cnf(cls_lemma1_0,axiom,
% 31.38/31.49 ( 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))
% 31.38/31.49 | ~ hBOOL(c_in(hAPP(c_Message_Omsg_OKey,hAPP(c_Message_OinvKey,V_K)),c_Message_Oanalz(V_H),tc_Message_Omsg)) ) ).
% 31.38/31.49
% 31.38/31.49 cnf(cls_lemma2_0,axiom,
% 31.38/31.49 ( 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))
% 31.38/31.49 | ~ hBOOL(c_in(hAPP(c_Message_Omsg_OKey,hAPP(c_Message_OinvKey,V_K)),c_Message_Oanalz(V_H),tc_Message_Omsg)) ) ).
% 31.38/31.49
% 31.38/31.49 cnf(cls_keysFor__parts__insert_0,axiom,
% 31.38/31.49 ( hBOOL(c_in(hAPP(c_Message_Omsg_OKey,hAPP(c_Message_OinvKey,V_K)),c_Message_Oparts(V_H),tc_Message_Omsg))
% 31.38/31.49 | hBOOL(c_in(V_K,c_Message_OkeysFor(c_Message_Oparts(c_Lattices_Oupper__semilattice__class_Osup(V_G,V_H,tc_fun(tc_Message_Omsg,tc_bool)))),tc_nat))
% 31.38/31.49 | ~ hBOOL(c_in(V_X,c_Message_Osynth(c_Message_Oanalz(V_H)),tc_Message_Omsg))
% 31.38/31.49 | ~ hBOOL(c_in(V_K,c_Message_OkeysFor(c_Message_Oparts(c_Set_Oinsert(V_X,V_G,tc_Message_Omsg))),tc_nat)) ) ).
% 31.38/31.49
% 31.38/31.49 cnf(cls_ns__sharedp_ONS1_0,axiom,
% 31.38/31.49 ( hBOOL(c_NS__Shared__Mirabelle_Ons__sharedp(c_List_Olist_OCons(c_Event_Oevent_OSays(V_A,c_Message_Oagent_OServer,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(V_A),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(V_B),c_Message_Omsg_ONonce(V_NA)))),V_evs1,tc_Event_Oevent)))
% 31.38/31.49 | hBOOL(c_in(c_Message_Omsg_ONonce(V_NA),c_Event_Oused(V_evs1),tc_Message_Omsg))
% 31.38/31.49 | ~ hBOOL(c_NS__Shared__Mirabelle_Ons__sharedp(V_evs1)) ) ).
% 31.38/31.49
% 31.38/31.49 cnf(cls_ns__sharedp_OFake_0,axiom,
% 31.38/31.49 ( hBOOL(c_NS__Shared__Mirabelle_Ons__sharedp(c_List_Olist_OCons(c_Event_Oevent_OSays(c_Message_Oagent_OSpy,V_B,V_X),V_evsf,tc_Event_Oevent)))
% 31.38/31.49 | ~ hBOOL(c_in(V_X,c_Message_Osynth(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,V_evsf))),tc_Message_Omsg))
% 31.38/31.49 | ~ hBOOL(c_NS__Shared__Mirabelle_Ons__sharedp(V_evsf)) ) ).
% 31.38/31.49
% 31.38/31.49 cnf(cls_knows__Spy__Notes_0,axiom,
% 31.38/31.49 ( 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)
% 31.38/31.49 | ~ hBOOL(c_in(V_A,c_Event_Obad,tc_Message_Oagent)) ) ).
% 31.38/31.49
% 31.38/31.49 cnf(cls_analz__Crypt__if_0,axiom,
% 31.38/31.49 ( 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)
% 31.38/31.49 | ~ hBOOL(c_in(hAPP(c_Message_Omsg_OKey,hAPP(c_Message_OinvKey,V_K)),c_Message_Oanalz(V_H),tc_Message_Omsg)) ) ).
% 31.38/31.49
% 31.38/31.49 cnf(cls_analz__Crypt__if_1,axiom,
% 31.38/31.49 ( 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)
% 31.38/31.49 | hBOOL(c_in(hAPP(c_Message_Omsg_OKey,hAPP(c_Message_OinvKey,V_K)),c_Message_Oanalz(V_H),tc_Message_Omsg)) ) ).
% 31.38/31.49
% 31.38/31.49 cnf(cls_knows__Gets_0,axiom,
% 31.38/31.49 ( c_Event_Oknows(V_A,c_List_Olist_OCons(c_Event_Oevent_OGets(V_A,V_X),V_evs,tc_Event_Oevent)) = c_Set_Oinsert(V_X,c_Event_Oknows(V_A,V_evs),tc_Message_Omsg)
% 31.38/31.49 | V_A = c_Message_Oagent_OSpy ) ).
% 31.38/31.49
% 31.38/31.49 cnf(cls_knows__Spy__Says_0,axiom,
% 31.38/31.49 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) ).
% 31.38/31.49
% 31.38/31.49 cnf(cls_Crypt__imp__keysFor_0,axiom,
% 31.38/31.49 ( hBOOL(c_in(V_K,c_Message_OkeysFor(V_H),tc_nat))
% 31.38/31.49 | ~ hBOOL(c_in(V_K,c_Message_OsymKeys,tc_nat))
% 31.38/31.49 | ~ hBOOL(c_in(c_Message_Omsg_OCrypt(V_K,V_X),V_H,tc_Message_Omsg)) ) ).
% 31.38/31.49
% 31.38/31.49 cnf(cls_Crypt__imp__invKey__keysFor_0,axiom,
% 31.38/31.49 ( hBOOL(c_in(hAPP(c_Message_OinvKey,V_K),c_Message_OkeysFor(V_H),tc_nat))
% 31.38/31.49 | ~ hBOOL(c_in(c_Message_Omsg_OCrypt(V_K,V_X),V_H,tc_Message_Omsg)) ) ).
% 31.38/31.49
% 31.38/31.49 cnf(cls_knows__Notes_0,axiom,
% 31.38/31.49 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) ).
% 31.38/31.49
% 31.38/31.49 cnf(cls_knows__Says_0,axiom,
% 31.38/31.49 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) ).
% 31.38/31.49
% 31.38/31.49 cnf(cls_Fake__analz__eq_0,axiom,
% 31.38/31.49 ( c_Message_Osynth(c_Message_Oanalz(c_Set_Oinsert(V_X,V_H,tc_Message_Omsg))) = c_Message_Osynth(c_Message_Oanalz(V_H))
% 31.38/31.49 | ~ hBOOL(c_in(V_X,c_Message_Osynth(c_Message_Oanalz(V_H)),tc_Message_Omsg)) ) ).
% 31.38/31.49
% 31.38/31.49 cnf(cls_analz__insert__Nonce_0,axiom,
% 31.38/31.49 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) ).
% 31.38/31.49
% 31.38/31.49 cnf(cls_pushes_I2_J_0,axiom,
% 31.38/31.49 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) ).
% 31.38/31.49
% 31.38/31.49 cnf(cls_pushes_I9_J_0,axiom,
% 31.38/31.49 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) ).
% 31.38/31.49
% 31.38/31.49 cnf(cls_analz__insert__Agent_0,axiom,
% 31.38/31.49 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) ).
% 31.38/31.49
% 31.38/31.49 cnf(cls_pushes_I1_J_0,axiom,
% 31.38/31.49 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) ).
% 31.38/31.49
% 31.38/31.49 cnf(cls_parts__insert__Nonce_0,axiom,
% 31.38/31.49 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) ).
% 31.38/31.49
% 31.38/31.49 cnf(cls_pushes_I8_J_0,axiom,
% 31.38/31.49 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) ).
% 31.38/31.49
% 31.38/31.49 cnf(cls_parts__insert__Agent_0,axiom,
% 31.38/31.49 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) ).
% 31.38/31.49
% 31.38/31.49 cnf(cls_pushes_I6_J_0,axiom,
% 31.38/31.49 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) ).
% 31.38/31.49
% 31.38/31.49 cnf(cls_synth__cut_0,axiom,
% 31.38/31.49 ( hBOOL(c_in(V_Y,c_Message_Osynth(V_H),tc_Message_Omsg))
% 31.38/31.49 | ~ hBOOL(c_in(V_X,c_Message_Osynth(V_H),tc_Message_Omsg))
% 31.38/31.49 | ~ hBOOL(c_in(V_Y,c_Message_Osynth(c_Set_Oinsert(V_X,V_H,tc_Message_Omsg)),tc_Message_Omsg)) ) ).
% 31.38/31.49
% 31.38/31.49 cnf(cls_parts__insert__Key_0,axiom,
% 31.38/31.49 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) ).
% 31.38/31.49
% 31.38/31.49 cnf(cls_analz__insert__MPair_0,axiom,
% 31.38/31.49 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) ).
% 31.38/31.49
% 31.38/31.49 cnf(cls_parts__insert__Crypt_0,axiom,
% 31.38/31.49 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) ).
% 31.38/31.49
% 31.38/31.49 cnf(cls_pushes_I5_J_0,axiom,
% 31.38/31.49 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) ).
% 31.38/31.49
% 31.38/31.49 cnf(cls_analz__cut_0,axiom,
% 31.38/31.49 ( hBOOL(c_in(V_Y,c_Message_Oanalz(V_H),tc_Message_Omsg))
% 31.38/31.49 | ~ hBOOL(c_in(V_X,c_Message_Oanalz(V_H),tc_Message_Omsg))
% 31.38/31.49 | ~ hBOOL(c_in(V_Y,c_Message_Oanalz(c_Set_Oinsert(V_X,V_H,tc_Message_Omsg)),tc_Message_Omsg)) ) ).
% 31.38/31.49
% 31.38/31.49 cnf(cls_analz__insert__eq_0,axiom,
% 31.38/31.49 ( c_Message_Oanalz(c_Set_Oinsert(V_X,V_H,tc_Message_Omsg)) = c_Message_Oanalz(V_H)
% 31.38/31.49 | ~ hBOOL(c_in(V_X,c_Message_Oanalz(V_H),tc_Message_Omsg)) ) ).
% 31.38/31.49
% 31.38/31.49 cnf(cls_analz__insertI_0,axiom,
% 31.38/31.49 ( hBOOL(c_in(V_c,c_Message_Oanalz(c_Set_Oinsert(V_a,V_G,tc_Message_Omsg)),tc_Message_Omsg))
% 31.38/31.49 | ~ hBOOL(c_in(V_c,c_Message_Oanalz(V_G),tc_Message_Omsg)) ) ).
% 31.38/31.49
% 31.38/31.49 cnf(cls_pushes_I12_J_0,axiom,
% 31.38/31.49 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) ).
% 31.38/31.49
% 31.38/31.49 cnf(cls_parts__insert__MPair_0,axiom,
% 31.38/31.49 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) ).
% 31.38/31.49
% 31.38/31.49 cnf(cls_parts__insertI_0,axiom,
% 31.38/31.49 ( hBOOL(c_in(V_c,c_Message_Oparts(c_Set_Oinsert(V_a,V_G,tc_Message_Omsg)),tc_Message_Omsg))
% 31.38/31.49 | ~ hBOOL(c_in(V_c,c_Message_Oparts(V_G),tc_Message_Omsg)) ) ).
% 31.38/31.49
% 31.38/31.49 cnf(cls_parts__cut__eq_0,axiom,
% 31.38/31.49 ( c_Message_Oparts(c_Set_Oinsert(V_X,V_H,tc_Message_Omsg)) = c_Message_Oparts(V_H)
% 31.38/31.49 | ~ hBOOL(c_in(V_X,c_Message_Oparts(V_H),tc_Message_Omsg)) ) ).
% 31.38/31.50
% 31.38/31.50 cnf(cls_List_Oset_Osimps_I2_J_0,axiom,
% 31.38/31.50 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) ).
% 31.38/31.50
% 31.38/31.50 cnf(cls_insert__image_0,axiom,
% 31.38/31.50 ( 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)
% 31.38/31.50 | ~ hBOOL(c_in(V_x,V_A,T_a)) ) ).
% 31.38/31.50
% 31.38/31.50 cnf(cls_analz__insert__Key_0,axiom,
% 31.38/31.50 ( 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)
% 31.38/31.50 | hBOOL(c_in(V_K,c_Message_OkeysFor(c_Message_Oanalz(V_H)),tc_nat)) ) ).
% 31.38/31.50
% 31.38/31.50 cnf(cls_insert__code_1,axiom,
% 31.38/31.50 hBOOL(hAPP(c_Set_Oinsert(V_x,V_A,T_a),V_x)) ).
% 31.38/31.50
% 31.38/31.50 cnf(cls_image__insert_0,axiom,
% 31.38/31.50 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) ).
% 31.38/31.50
% 31.38/31.50 cnf(cls_keysFor__insert__Key_0,axiom,
% 31.38/31.50 c_Message_OkeysFor(c_Set_Oinsert(hAPP(c_Message_Omsg_OKey,V_K),V_H,tc_Message_Omsg)) = c_Message_OkeysFor(V_H) ).
% 31.38/31.50
% 31.38/31.50 cnf(cls_insert__code_0,axiom,
% 31.38/31.50 ( hBOOL(hAPP(V_A,V_x))
% 31.38/31.50 | V_y = V_x
% 31.38/31.50 | ~ hBOOL(hAPP(c_Set_Oinsert(V_y,V_A,T_a),V_x)) ) ).
% 31.38/31.50
% 31.38/31.50 cnf(cls_insert__absorb2_0,axiom,
% 31.38/31.50 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) ).
% 31.38/31.50
% 31.38/31.50 cnf(cls_keysFor__insert__Nonce_0,axiom,
% 31.38/31.50 c_Message_OkeysFor(c_Set_Oinsert(c_Message_Omsg_ONonce(V_N),V_H,tc_Message_Omsg)) = c_Message_OkeysFor(V_H) ).
% 31.38/31.50
% 31.38/31.50 cnf(cls_insert__commute_0,axiom,
% 31.38/31.50 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) ).
% 31.38/31.50
% 31.38/31.50 cnf(cls_keysFor__insert__Agent_0,axiom,
% 31.38/31.50 c_Message_OkeysFor(c_Set_Oinsert(c_Message_Omsg_OAgent(V_A),V_H,tc_Message_Omsg)) = c_Message_OkeysFor(V_H) ).
% 31.38/31.50
% 31.38/31.50 cnf(cls_insert__code_2,axiom,
% 31.38/31.50 ( hBOOL(hAPP(c_Set_Oinsert(V_y,V_A,T_a),V_x))
% 31.38/31.50 | ~ hBOOL(hAPP(V_A,V_x)) ) ).
% 31.38/31.50
% 31.38/31.50 cnf(cls_analz__image__freshK__simps_I56_J_0,axiom,
% 31.38/31.50 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) ).
% 31.38/31.50
% 31.38/31.50 cnf(cls_keysFor__insert__MPair_0,axiom,
% 31.38/31.50 c_Message_OkeysFor(c_Set_Oinsert(c_Message_Omsg_OMPair(V_X,V_Y),V_H,tc_Message_Omsg)) = c_Message_OkeysFor(V_H) ).
% 31.38/31.50
% 31.38/31.50 cnf(cls_insert__iff_2,axiom,
% 31.38/31.50 ( hBOOL(c_in(V_a,c_Set_Oinsert(V_b,V_A,T_a),T_a))
% 31.38/31.50 | ~ hBOOL(c_in(V_a,V_A,T_a)) ) ).
% 31.38/31.50
% 31.38/31.50 cnf(cls_insertCI_0,axiom,
% 31.38/31.50 ( hBOOL(c_in(V_a,c_Set_Oinsert(V_b,V_B,T_a),T_a))
% 31.38/31.50 | ~ hBOOL(c_in(V_a,V_B,T_a)) ) ).
% 31.38/31.50
% 31.38/31.50 cnf(cls_insertE_0,axiom,
% 31.38/31.50 ( hBOOL(c_in(V_a,V_A,T_a))
% 31.38/31.50 | V_a = V_b
% 31.38/31.50 | ~ hBOOL(c_in(V_a,c_Set_Oinsert(V_b,V_A,T_a),T_a)) ) ).
% 31.38/31.50
% 31.38/31.50 cnf(cls_insert__iff_1,axiom,
% 31.38/31.50 hBOOL(c_in(V_x,c_Set_Oinsert(V_x,V_A,T_a),T_a)) ).
% 31.38/31.50
% 31.38/31.50 cnf(cls_insertI1_0,axiom,
% 31.38/31.50 hBOOL(c_in(V_a,c_Set_Oinsert(V_a,V_B,T_a),T_a)) ).
% 31.38/31.50
% 31.38/31.50 cnf(cls_insertCI_1,axiom,
% 31.38/31.50 hBOOL(c_in(V_x,c_Set_Oinsert(V_x,V_B,T_a),T_a)) ).
% 31.38/31.50
% 31.38/31.50 cnf(cls_insert__ident_0,axiom,
% 31.38/31.50 ( c_Set_Oinsert(V_x,V_A,T_a) != c_Set_Oinsert(V_x,V_B,T_a)
% 31.38/31.50 | hBOOL(c_in(V_x,V_B,T_a))
% 31.38/31.50 | hBOOL(c_in(V_x,V_A,T_a))
% 31.38/31.50 | V_A = V_B ) ).
% 31.38/31.50
% 31.38/31.50 cnf(cls_insert__absorb_0,axiom,
% 31.38/31.50 ( c_Set_Oinsert(V_a,V_A,T_a) = V_A
% 31.38/31.50 | ~ hBOOL(c_in(V_a,V_A,T_a)) ) ).
% 31.38/31.50
% 31.38/31.50 cnf(cls_analz__insert__cong_0,axiom,
% 31.38/31.50 ( c_Message_Oanalz(V_H) != c_Message_Oanalz(V_H_H)
% 31.38/31.50 | 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)) ) ).
% 31.38/31.50
% 31.38/31.50 cnf(cls_new__keys__not__used_0,axiom,
% 31.38/31.50 ( ~ hBOOL(c_in(V_K,c_Message_OkeysFor(c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,V_evs))),tc_nat))
% 31.38/31.50 | ~ hBOOL(c_in(V_evs,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent)))
% 31.38/31.50 | ~ hBOOL(c_in(V_K,c_Message_OsymKeys,tc_nat))
% 31.38/31.50 | hBOOL(c_in(hAPP(c_Message_Omsg_OKey,V_K),c_Event_Oused(V_evs),tc_Message_Omsg)) ) ).
% 31.38/31.50
% 31.38/31.50 cnf(cls_ns__sharedp_ONS3_0,axiom,
% 31.38/31.50 ( hBOOL(c_NS__Shared__Mirabelle_Ons__sharedp(c_List_Olist_OCons(c_Event_Oevent_OSays(V_A,V_B,V_X),V_evs3,tc_Event_Oevent)))
% 31.38/31.50 | ~ hBOOL(c_in(c_Event_Oevent_OSays(V_A,c_Message_Oagent_OServer,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(V_A),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(V_B),c_Message_Omsg_ONonce(V_NA)))),c_List_Oset(V_evs3,tc_Event_Oevent),tc_Event_Oevent))
% 31.38/31.50 | ~ hBOOL(c_in(c_Event_Oevent_OSays(V_S,V_A,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,V_A),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(V_NA),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(V_B),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,V_K),V_X))))),c_List_Oset(V_evs3,tc_Event_Oevent),tc_Event_Oevent))
% 31.38/31.50 | V_A = c_Message_Oagent_OServer
% 31.38/31.50 | ~ hBOOL(c_NS__Shared__Mirabelle_Ons__sharedp(V_evs3)) ) ).
% 31.38/31.50
% 31.38/31.50 cnf(cls_analz__insert__freshK_1,axiom,
% 31.38/31.50 ( hBOOL(c_in(V_x,c_Set_Oimage(c_Public_OshrK,c_Orderings_Otop__class_Otop(tc_fun(tc_Message_Oagent,tc_bool)),tc_Message_Oagent,tc_nat),tc_nat))
% 31.38/31.50 | ~ hBOOL(c_in(V_evs,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent)))
% 31.38/31.50 | hBOOL(c_in(hAPP(c_Message_Omsg_OKey,V_x),c_Message_Oanalz(c_Set_Oinsert(hAPP(c_Message_Omsg_OKey,V_x),c_Event_Oknows(c_Message_Oagent_OSpy,V_evs),tc_Message_Omsg)),tc_Message_Omsg)) ) ).
% 31.38/31.50
% 31.38/31.50 cnf(cls_analz__insert__freshK_0,axiom,
% 31.38/31.50 ( hBOOL(c_in(hAPP(c_Message_Omsg_OKey,V_K),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,V_evs)),tc_Message_Omsg))
% 31.38/31.50 | V_K = V_KAB
% 31.38/31.50 | ~ hBOOL(c_in(hAPP(c_Message_Omsg_OKey,V_K),c_Message_Oanalz(c_Set_Oinsert(hAPP(c_Message_Omsg_OKey,V_KAB),c_Event_Oknows(c_Message_Oagent_OSpy,V_evs),tc_Message_Omsg)),tc_Message_Omsg))
% 31.38/31.50 | hBOOL(c_in(V_KAB,c_Set_Oimage(c_Public_OshrK,c_Orderings_Otop__class_Otop(tc_fun(tc_Message_Oagent,tc_bool)),tc_Message_Oagent,tc_nat),tc_nat))
% 31.38/31.50 | ~ hBOOL(c_in(V_evs,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))) ) ).
% 31.38/31.50
% 31.38/31.50 cnf(cls_analz__insert__freshK_2,axiom,
% 31.38/31.50 ( hBOOL(c_in(hAPP(c_Message_Omsg_OKey,V_K),c_Message_Oanalz(c_Set_Oinsert(hAPP(c_Message_Omsg_OKey,V_KAB),c_Event_Oknows(c_Message_Oagent_OSpy,V_evs),tc_Message_Omsg)),tc_Message_Omsg))
% 31.38/31.50 | ~ hBOOL(c_in(hAPP(c_Message_Omsg_OKey,V_K),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,V_evs)),tc_Message_Omsg))
% 31.38/31.50 | hBOOL(c_in(V_KAB,c_Set_Oimage(c_Public_OshrK,c_Orderings_Otop__class_Otop(tc_fun(tc_Message_Oagent,tc_bool)),tc_Message_Oagent,tc_nat),tc_nat))
% 31.38/31.50 | ~ hBOOL(c_in(V_evs,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))) ) ).
% 31.38/31.50
% 31.38/31.50 cnf(cls_ns__sharedp_ONS5_0,axiom,
% 31.38/31.50 ( hBOOL(c_NS__Shared__Mirabelle_Ons__sharedp(c_List_Olist_OCons(c_Event_Oevent_OSays(V_A,V_B,c_Message_Omsg_OCrypt(V_K,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(V_NB),c_Message_Omsg_ONonce(V_NB)))),V_evs5,tc_Event_Oevent)))
% 31.38/31.50 | ~ hBOOL(c_in(c_Event_Oevent_OSays(V_S,V_A,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,V_A),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(V_NA),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(V_B),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,V_K),V_X))))),c_List_Oset(V_evs5,tc_Event_Oevent),tc_Event_Oevent))
% 31.38/31.50 | ~ hBOOL(c_in(c_Event_Oevent_OSays(V_B_H,V_A,c_Message_Omsg_OCrypt(V_K,c_Message_Omsg_ONonce(V_NB))),c_List_Oset(V_evs5,tc_Event_Oevent),tc_Event_Oevent))
% 31.38/31.50 | ~ hBOOL(c_in(V_K,c_Message_OsymKeys,tc_nat))
% 31.38/31.50 | ~ hBOOL(c_NS__Shared__Mirabelle_Ons__sharedp(V_evs5)) ) ).
% 31.38/31.50
% 31.38/31.50 cnf(cls_ns__sharedp_OOops_0,axiom,
% 31.38/31.50 ( hBOOL(c_NS__Shared__Mirabelle_Ons__sharedp(c_List_Olist_OCons(c_Event_Oevent_ONotes(c_Message_Oagent_OSpy,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(V_NA),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(V_NB),hAPP(c_Message_Omsg_OKey,V_K)))),V_evso,tc_Event_Oevent)))
% 31.38/31.50 | ~ hBOOL(c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,V_A,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,V_A),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(V_NA),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(V_B),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,V_K),V_X))))),c_List_Oset(V_evso,tc_Event_Oevent),tc_Event_Oevent))
% 31.38/31.50 | ~ hBOOL(c_in(c_Event_Oevent_OSays(V_B,V_A,c_Message_Omsg_OCrypt(V_K,c_Message_Omsg_ONonce(V_NB))),c_List_Oset(V_evso,tc_Event_Oevent),tc_Event_Oevent))
% 31.38/31.50 | ~ hBOOL(c_NS__Shared__Mirabelle_Ons__sharedp(V_evso)) ) ).
% 31.38/31.50
% 31.38/31.50 cnf(cls_ns__sharedp_ONS4_0,axiom,
% 31.38/31.50 ( hBOOL(c_NS__Shared__Mirabelle_Ons__sharedp(c_List_Olist_OCons(c_Event_Oevent_OSays(V_B,V_A,c_Message_Omsg_OCrypt(V_K,c_Message_Omsg_ONonce(V_NB))),V_evs4,tc_Event_Oevent)))
% 31.38/31.50 | ~ hBOOL(c_in(c_Event_Oevent_OSays(V_A_H,V_B,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,V_B),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,V_K),c_Message_Omsg_OAgent(V_A)))),c_List_Oset(V_evs4,tc_Event_Oevent),tc_Event_Oevent))
% 31.38/31.50 | ~ hBOOL(c_in(V_K,c_Message_OsymKeys,tc_nat))
% 31.38/31.50 | hBOOL(c_in(c_Message_Omsg_ONonce(V_NB),c_Event_Oused(V_evs4),tc_Message_Omsg))
% 31.38/31.50 | ~ hBOOL(c_NS__Shared__Mirabelle_Ons__sharedp(V_evs4)) ) ).
% 31.38/31.50
% 31.38/31.50 cnf(cls_ns__sharedp_ONS2_0,axiom,
% 31.38/31.50 ( hBOOL(c_NS__Shared__Mirabelle_Ons__sharedp(c_List_Olist_OCons(c_Event_Oevent_OSays(c_Message_Oagent_OServer,V_A,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,V_A),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(V_NA),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(V_B),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,V_KAB),c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,V_B),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,V_KAB),c_Message_Omsg_OAgent(V_A)))))))),V_evs2,tc_Event_Oevent)))
% 31.38/31.50 | ~ hBOOL(c_in(c_Event_Oevent_OSays(V_A_H,c_Message_Oagent_OServer,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(V_A),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(V_B),c_Message_Omsg_ONonce(V_NA)))),c_List_Oset(V_evs2,tc_Event_Oevent),tc_Event_Oevent))
% 31.38/31.50 | ~ hBOOL(c_in(V_KAB,c_Message_OsymKeys,tc_nat))
% 31.38/31.50 | hBOOL(c_in(hAPP(c_Message_Omsg_OKey,V_KAB),c_Event_Oused(V_evs2),tc_Message_Omsg))
% 31.38/31.50 | ~ hBOOL(c_NS__Shared__Mirabelle_Ons__sharedp(V_evs2)) ) ).
% 31.38/31.50
% 31.38/31.50 cnf(cls_neq__shrK_0,axiom,
% 31.38/31.50 hBOOL(c_in(hAPP(c_Message_Omsg_OKey,hAPP(c_Public_OshrK,V_B)),c_Event_Oused(V_evs),tc_Message_Omsg)) ).
% 31.38/31.50
% 31.38/31.50 cnf(cls_shrK__in__used_0,axiom,
% 31.38/31.50 hBOOL(c_in(hAPP(c_Message_Omsg_OKey,hAPP(c_Public_OshrK,V_A)),c_Event_Oused(V_evs),tc_Message_Omsg)) ).
% 31.38/31.50
% 31.38/31.50 cnf(cls_synth_OCrypt_0,axiom,
% 31.38/31.50 ( hBOOL(c_in(c_Message_Omsg_OCrypt(V_K,V_X),c_Message_Osynth(V_H),tc_Message_Omsg))
% 31.38/31.50 | ~ hBOOL(c_in(hAPP(c_Message_Omsg_OKey,V_K),V_H,tc_Message_Omsg))
% 31.38/31.50 | ~ hBOOL(c_in(V_X,c_Message_Osynth(V_H),tc_Message_Omsg)) ) ).
% 31.38/31.50
% 31.38/31.50 cnf(cls_Crypt__synth_1,axiom,
% 31.38/31.50 ( hBOOL(c_in(hAPP(c_Message_Omsg_OKey,V_K),V_H,tc_Message_Omsg))
% 31.38/31.50 | hBOOL(c_in(c_Message_Omsg_OCrypt(V_K,V_X),V_H,tc_Message_Omsg))
% 31.38/31.50 | ~ hBOOL(c_in(c_Message_Omsg_OCrypt(V_K,V_X),c_Message_Osynth(V_H),tc_Message_Omsg)) ) ).
% 31.38/31.50
% 31.38/31.50 cnf(cls_Crypt__synth__eq_0,axiom,
% 31.38/31.50 ( hBOOL(c_in(c_Message_Omsg_OCrypt(V_K,V_X),V_H,tc_Message_Omsg))
% 31.38/31.50 | ~ hBOOL(c_in(c_Message_Omsg_OCrypt(V_K,V_X),c_Message_Osynth(V_H),tc_Message_Omsg))
% 31.38/31.50 | hBOOL(c_in(hAPP(c_Message_Omsg_OKey,V_K),V_H,tc_Message_Omsg)) ) ).
% 31.38/31.50
% 31.38/31.50 cnf(cls_Crypt__synth__eq_1,axiom,
% 31.38/31.50 ( hBOOL(c_in(c_Message_Omsg_OCrypt(V_K,V_X),c_Message_Osynth(V_H),tc_Message_Omsg))
% 31.38/31.50 | ~ hBOOL(c_in(c_Message_Omsg_OCrypt(V_K,V_X),V_H,tc_Message_Omsg))
% 31.38/31.50 | hBOOL(c_in(hAPP(c_Message_Omsg_OKey,V_K),V_H,tc_Message_Omsg)) ) ).
% 31.38/31.50
% 31.38/31.50 cnf(cls_MPair__synth__analz_2,axiom,
% 31.38/31.50 ( hBOOL(c_in(c_Message_Omsg_OMPair(V_X,V_Y),c_Message_Osynth(c_Message_Oanalz(V_H)),tc_Message_Omsg))
% 31.38/31.50 | ~ hBOOL(c_in(V_Y,c_Message_Osynth(c_Message_Oanalz(V_H)),tc_Message_Omsg))
% 31.38/31.50 | ~ hBOOL(c_in(V_X,c_Message_Osynth(c_Message_Oanalz(V_H)),tc_Message_Omsg)) ) ).
% 31.38/31.50
% 31.38/31.50 cnf(cls_MPair__synth__analz_0,axiom,
% 31.38/31.50 ( hBOOL(c_in(V_X,c_Message_Osynth(c_Message_Oanalz(V_H)),tc_Message_Omsg))
% 31.38/31.50 | ~ hBOOL(c_in(c_Message_Omsg_OMPair(V_X,V_Y),c_Message_Osynth(c_Message_Oanalz(V_H)),tc_Message_Omsg)) ) ).
% 31.38/31.50
% 31.38/31.50 cnf(cls_MPair__synth__analz_1,axiom,
% 31.38/31.50 ( hBOOL(c_in(V_Y,c_Message_Osynth(c_Message_Oanalz(V_H)),tc_Message_Omsg))
% 31.38/31.50 | ~ hBOOL(c_in(c_Message_Omsg_OMPair(V_X,V_Y),c_Message_Osynth(c_Message_Oanalz(V_H)),tc_Message_Omsg)) ) ).
% 31.38/31.50
% 31.38/31.50 cnf(cls_Says__Server__message__form_0,axiom,
% 31.38/31.50 ( ~ hBOOL(c_in(V_K,c_Set_Oimage(c_Public_OshrK,c_Orderings_Otop__class_Otop(tc_fun(tc_Message_Oagent,tc_bool)),tc_Message_Oagent,tc_nat),tc_nat))
% 31.38/31.50 | ~ hBOOL(c_in(V_evs,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent)))
% 31.38/31.50 | ~ hBOOL(c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,V_A,c_Message_Omsg_OCrypt(V_K_H,c_Message_Omsg_OMPair(V_N,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(V_B),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,V_K),V_X))))),c_List_Oset(V_evs,tc_Event_Oevent),tc_Event_Oevent)) ) ).
% 31.38/31.50
% 31.38/31.50 cnf(cls_ns__shared_ONS2_0,axiom,
% 31.38/31.50 ( hBOOL(c_in(c_List_Olist_OCons(c_Event_Oevent_OSays(c_Message_Oagent_OServer,V_A,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,V_A),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(V_NA),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(V_B),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,V_KAB),c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,V_B),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,V_KAB),c_Message_Omsg_OAgent(V_A)))))))),V_evs2,tc_Event_Oevent),c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent)))
% 31.38/31.50 | ~ hBOOL(c_in(c_Event_Oevent_OSays(V_A_H,c_Message_Oagent_OServer,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(V_A),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(V_B),c_Message_Omsg_ONonce(V_NA)))),c_List_Oset(V_evs2,tc_Event_Oevent),tc_Event_Oevent))
% 31.38/31.50 | ~ hBOOL(c_in(V_KAB,c_Message_OsymKeys,tc_nat))
% 31.38/31.50 | hBOOL(c_in(hAPP(c_Message_Omsg_OKey,V_KAB),c_Event_Oused(V_evs2),tc_Message_Omsg))
% 31.38/31.50 | ~ hBOOL(c_in(V_evs2,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))) ) ).
% 31.38/31.50
% 31.38/31.50 cnf(cls_ns__shared_ONS1_0,axiom,
% 31.38/31.50 ( hBOOL(c_in(c_List_Olist_OCons(c_Event_Oevent_OSays(V_A,c_Message_Oagent_OServer,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(V_A),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(V_B),c_Message_Omsg_ONonce(V_NA)))),V_evs1,tc_Event_Oevent),c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent)))
% 31.38/31.50 | hBOOL(c_in(c_Message_Omsg_ONonce(V_NA),c_Event_Oused(V_evs1),tc_Message_Omsg))
% 31.38/31.50 | ~ hBOOL(c_in(V_evs1,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))) ) ).
% 31.38/31.50
% 31.38/31.50 cnf(cls_Server__not__bad_0,axiom,
% 31.38/31.50 ~ hBOOL(c_in(c_Message_Oagent_OServer,c_Event_Obad,tc_Message_Oagent)) ).
% 31.38/31.50
% 31.38/31.50 cnf(cls_knows__Spy__Notes_1,axiom,
% 31.38/31.50 ( 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)
% 31.38/31.50 | hBOOL(c_in(V_A,c_Event_Obad,tc_Message_Oagent)) ) ).
% 31.38/31.50
% 31.38/31.50 cnf(cls_analz__mono__contra_I3_J_0,axiom,
% 31.38/31.50 ( ~ hBOOL(c_in(V_c,c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,V_evs)),tc_Message_Omsg))
% 31.38/31.50 | hBOOL(c_in(V_c,c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,c_List_Olist_OCons(c_Event_Oevent_OGets(V_A,V_X),V_evs,tc_Event_Oevent))),tc_Message_Omsg)) ) ).
% 31.38/31.50
% 31.38/31.50 cnf(cls_analz__mono__contra_I2_J_0,axiom,
% 31.38/31.50 ( ~ hBOOL(c_in(V_c,c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,V_evs)),tc_Message_Omsg))
% 31.38/31.50 | hBOOL(c_in(V_c,c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,c_List_Olist_OCons(c_Event_Oevent_ONotes(V_A,V_X),V_evs,tc_Event_Oevent))),tc_Message_Omsg)) ) ).
% 31.38/31.50
% 31.38/31.50 cnf(cls_Nonce__synth_0,axiom,
% 31.38/31.50 ( hBOOL(c_in(c_Message_Omsg_ONonce(V_n),V_H,tc_Message_Omsg))
% 31.38/31.50 | ~ hBOOL(c_in(c_Message_Omsg_ONonce(V_n),c_Message_Osynth(V_H),tc_Message_Omsg)) ) ).
% 31.38/31.50
% 31.38/31.50 cnf(cls_Nonce__synth__eq_0,axiom,
% 31.38/31.50 ( hBOOL(c_in(c_Message_Omsg_ONonce(V_N),V_H,tc_Message_Omsg))
% 31.38/31.50 | ~ hBOOL(c_in(c_Message_Omsg_ONonce(V_N),c_Message_Osynth(V_H),tc_Message_Omsg)) ) ).
% 31.38/31.50
% 31.38/31.50 cnf(cls_Nonce__synth__eq_1,axiom,
% 31.38/31.50 ( hBOOL(c_in(c_Message_Omsg_ONonce(V_N),c_Message_Osynth(V_H),tc_Message_Omsg))
% 31.38/31.50 | ~ hBOOL(c_in(c_Message_Omsg_ONonce(V_N),V_H,tc_Message_Omsg)) ) ).
% 31.38/31.50
% 31.38/31.50 cnf(cls_Agent__synth_0,axiom,
% 31.38/31.50 hBOOL(c_in(c_Message_Omsg_OAgent(V_A),c_Message_Osynth(V_H),tc_Message_Omsg)) ).
% 31.38/31.50
% 31.38/31.50 cnf(cls_synth_OAgent_0,axiom,
% 31.38/31.50 hBOOL(c_in(c_Message_Omsg_OAgent(V_agt),c_Message_Osynth(V_H),tc_Message_Omsg)) ).
% 31.38/31.50
% 31.38/31.50 cnf(cls_Crypt__synth__analz_0,axiom,
% 31.38/31.50 ( hBOOL(c_in(V_X,c_Message_Osynth(c_Message_Oanalz(V_H)),tc_Message_Omsg))
% 31.38/31.50 | ~ hBOOL(c_in(c_Message_Omsg_OCrypt(V_K,V_X),c_Message_Osynth(c_Message_Oanalz(V_H)),tc_Message_Omsg))
% 31.38/31.50 | ~ hBOOL(c_in(hAPP(c_Message_Omsg_OKey,hAPP(c_Message_OinvKey,V_K)),c_Message_Oanalz(V_H),tc_Message_Omsg))
% 31.38/31.50 | ~ hBOOL(c_in(hAPP(c_Message_Omsg_OKey,V_K),c_Message_Oanalz(V_H),tc_Message_Omsg)) ) ).
% 31.38/31.50
% 31.38/31.50 cnf(cls_Crypt__synth__analz_1,axiom,
% 31.38/31.50 ( hBOOL(c_in(c_Message_Omsg_OCrypt(V_K,V_X),c_Message_Osynth(c_Message_Oanalz(V_H)),tc_Message_Omsg))
% 31.38/31.50 | ~ hBOOL(c_in(V_X,c_Message_Osynth(c_Message_Oanalz(V_H)),tc_Message_Omsg))
% 31.38/31.50 | ~ hBOOL(c_in(hAPP(c_Message_Omsg_OKey,hAPP(c_Message_OinvKey,V_K)),c_Message_Oanalz(V_H),tc_Message_Omsg))
% 31.38/31.50 | ~ hBOOL(c_in(hAPP(c_Message_Omsg_OKey,V_K),c_Message_Oanalz(V_H),tc_Message_Omsg)) ) ).
% 31.38/31.50
% 31.38/31.50 cnf(cls_analz__Decrypt_H_0,axiom,
% 31.38/31.50 ( hBOOL(c_in(V_X,c_Message_Oanalz(V_H),tc_Message_Omsg))
% 31.38/31.50 | ~ hBOOL(c_in(hAPP(c_Message_Omsg_OKey,V_K),c_Message_Oanalz(V_H),tc_Message_Omsg))
% 31.38/31.50 | ~ hBOOL(c_in(V_K,c_Message_OsymKeys,tc_nat))
% 31.50/31.50 | ~ hBOOL(c_in(c_Message_Omsg_OCrypt(V_K,V_X),c_Message_Oanalz(V_H),tc_Message_Omsg)) ) ).
% 31.50/31.50
% 31.50/31.50 cnf(cls_Key__synth_0,axiom,
% 31.50/31.50 ( hBOOL(c_in(hAPP(c_Message_Omsg_OKey,V_K),V_H,tc_Message_Omsg))
% 31.50/31.50 | ~ hBOOL(c_in(hAPP(c_Message_Omsg_OKey,V_K),c_Message_Osynth(V_H),tc_Message_Omsg)) ) ).
% 31.50/31.50
% 31.50/31.50 cnf(cls_Key__synth__eq_1,axiom,
% 31.50/31.50 ( hBOOL(c_in(hAPP(c_Message_Omsg_OKey,V_K),c_Message_Osynth(V_H),tc_Message_Omsg))
% 31.50/31.50 | ~ hBOOL(c_in(hAPP(c_Message_Omsg_OKey,V_K),V_H,tc_Message_Omsg)) ) ).
% 31.50/31.50
% 31.50/31.50 cnf(cls_Crypt__synth_0,axiom,
% 31.50/31.50 ( hBOOL(c_in(V_X,c_Message_Osynth(V_H),tc_Message_Omsg))
% 31.50/31.50 | hBOOL(c_in(c_Message_Omsg_OCrypt(V_K,V_X),V_H,tc_Message_Omsg))
% 31.50/31.50 | ~ hBOOL(c_in(c_Message_Omsg_OCrypt(V_K,V_X),c_Message_Osynth(V_H),tc_Message_Omsg)) ) ).
% 31.50/31.50
% 31.50/31.50 cnf(cls_MPair__synth_0,axiom,
% 31.50/31.50 ( hBOOL(c_in(V_X,c_Message_Osynth(V_H),tc_Message_Omsg))
% 31.50/31.50 | hBOOL(c_in(c_Message_Omsg_OMPair(V_X,V_Y),V_H,tc_Message_Omsg))
% 31.50/31.50 | ~ hBOOL(c_in(c_Message_Omsg_OMPair(V_X,V_Y),c_Message_Osynth(V_H),tc_Message_Omsg)) ) ).
% 31.50/31.50
% 31.50/31.50 cnf(cls_MPair__synth_1,axiom,
% 31.50/31.50 ( hBOOL(c_in(V_Y,c_Message_Osynth(V_H),tc_Message_Omsg))
% 31.50/31.50 | hBOOL(c_in(c_Message_Omsg_OMPair(V_X,V_Y),V_H,tc_Message_Omsg))
% 31.50/31.50 | ~ hBOOL(c_in(c_Message_Omsg_OMPair(V_X,V_Y),c_Message_Osynth(V_H),tc_Message_Omsg)) ) ).
% 31.50/31.50
% 31.50/31.50 cnf(cls_synth_OMPair_0,axiom,
% 31.50/31.50 ( hBOOL(c_in(c_Message_Omsg_OMPair(V_X,V_Y),c_Message_Osynth(V_H),tc_Message_Omsg))
% 31.50/31.50 | ~ hBOOL(c_in(V_Y,c_Message_Osynth(V_H),tc_Message_Omsg))
% 31.50/31.50 | ~ hBOOL(c_in(V_X,c_Message_Osynth(V_H),tc_Message_Omsg)) ) ).
% 31.50/31.50
% 31.50/31.50 cnf(cls_MPair__used_0,axiom,
% 31.50/31.50 ( hBOOL(c_in(V_X,c_Event_Oused(V_H),tc_Message_Omsg))
% 31.50/31.50 | ~ hBOOL(c_in(c_Message_Omsg_OMPair(V_X,V_Y),c_Event_Oused(V_H),tc_Message_Omsg)) ) ).
% 31.50/31.50
% 31.50/31.50 cnf(cls_MPair__used_1,axiom,
% 31.50/31.50 ( hBOOL(c_in(V_Y,c_Event_Oused(V_H),tc_Message_Omsg))
% 31.50/31.50 | ~ hBOOL(c_in(c_Message_Omsg_OMPair(V_X,V_Y),c_Event_Oused(V_H),tc_Message_Omsg)) ) ).
% 31.50/31.50
% 31.50/31.50 cnf(cls_set__ConsD_0,axiom,
% 31.50/31.50 ( hBOOL(c_in(V_y,c_List_Oset(V_xs,T_a),T_a))
% 31.50/31.50 | V_y = V_x
% 31.50/31.50 | ~ hBOOL(c_in(V_y,c_List_Oset(c_List_Olist_OCons(V_x,V_xs,T_a),T_a),T_a)) ) ).
% 31.50/31.50
% 31.50/31.50 cnf(cls_Notes__imp__used_0,axiom,
% 31.50/31.50 ( hBOOL(c_in(V_X,c_Event_Oused(V_evs),tc_Message_Omsg))
% 31.50/31.50 | ~ hBOOL(c_in(c_Event_Oevent_ONotes(V_A,V_X),c_List_Oset(V_evs,tc_Event_Oevent),tc_Event_Oevent)) ) ).
% 31.50/31.50
% 31.50/31.50 cnf(cls_shrK__image__eq_0,axiom,
% 31.50/31.50 ( hBOOL(c_in(V_x,V_AA,tc_Message_Oagent))
% 31.50/31.50 | ~ hBOOL(c_in(hAPP(c_Public_OshrK,V_x),c_Set_Oimage(c_Public_OshrK,V_AA,tc_Message_Oagent,tc_nat),tc_nat)) ) ).
% 31.50/31.50
% 31.50/31.50 cnf(cls_shrK__image__eq_1,axiom,
% 31.50/31.50 ( hBOOL(c_in(hAPP(c_Public_OshrK,V_x),c_Set_Oimage(c_Public_OshrK,V_AA,tc_Message_Oagent,tc_nat),tc_nat))
% 31.50/31.50 | ~ hBOOL(c_in(V_x,V_AA,tc_Message_Oagent)) ) ).
% 31.50/31.50
% 31.50/31.50 cnf(cls_invKey__shrK_0,axiom,
% 31.50/31.50 hAPP(c_Message_OinvKey,hAPP(c_Public_OshrK,V_A)) = hAPP(c_Public_OshrK,V_A) ).
% 31.50/31.50
% 31.50/31.50 cnf(cls_shrK__neq__pubK_0,axiom,
% 31.50/31.50 hAPP(c_Public_OpublicKey(V_b),V_C) != hAPP(c_Public_OshrK,V_A) ).
% 31.50/31.50
% 31.50/31.50 cnf(cls_pubK__neq__shrK_0,axiom,
% 31.50/31.50 hAPP(c_Public_OshrK,V_A) != hAPP(c_Public_OpublicKey(V_b),V_C) ).
% 31.50/31.50
% 31.50/31.50 cnf(cls_event_Osimps_I7_J_0,axiom,
% 31.50/31.50 c_Event_Oevent_ONotes(V_agent_H,V_msg_H) != c_Event_Oevent_OSays(V_agent1,V_agent2,V_msg) ).
% 31.50/31.50
% 31.50/31.50 cnf(cls_event_Osimps_I5_J_0,axiom,
% 31.50/31.50 c_Event_Oevent_OGets(V_agent_H,V_msg_H) != c_Event_Oevent_OSays(V_agent1,V_agent2,V_msg) ).
% 31.50/31.50
% 31.50/31.50 cnf(cls_event_Osimps_I6_J_0,axiom,
% 31.50/31.50 c_Event_Oevent_OSays(V_agent1,V_agent2,V_msg) != c_Event_Oevent_ONotes(V_agent_H,V_msg_H) ).
% 31.50/31.50
% 31.50/31.50 cnf(cls_event_Osimps_I4_J_0,axiom,
% 31.50/31.50 c_Event_Oevent_OSays(V_agent1,V_agent2,V_msg) != c_Event_Oevent_OGets(V_agent_H,V_msg_H) ).
% 31.50/31.50
% 31.50/31.50 cnf(cls_knows__Spy__Gets_0,axiom,
% 31.50/31.50 c_Event_Oknows(c_Message_Oagent_OSpy,c_List_Olist_OCons(c_Event_Oevent_OGets(V_A,V_X),V_evs,tc_Event_Oevent)) = c_Event_Oknows(c_Message_Oagent_OSpy,V_evs) ).
% 31.50/31.50
% 31.50/31.50 cnf(cls_agent_Osimps_I5_J_0,axiom,
% 31.50/31.50 c_Message_Oagent_OSpy != c_Message_Oagent_OServer ).
% 31.50/31.50
% 31.50/31.50 cnf(cls_agent_Osimps_I4_J_0,axiom,
% 31.50/31.50 c_Message_Oagent_OServer != c_Message_Oagent_OSpy ).
% 31.50/31.50
% 31.50/31.50 cnf(cls_publicKey__into__used_0,axiom,
% 31.50/31.50 hBOOL(c_in(hAPP(c_Message_Omsg_OKey,hAPP(c_Public_OpublicKey(V_b),V_A)),c_Event_Oused(V_evs),tc_Message_Omsg)) ).
% 31.50/31.50
% 31.50/31.50 cnf(cls_synth__synthD_0,axiom,
% 31.50/31.50 ( hBOOL(c_in(V_X,c_Message_Osynth(V_H),tc_Message_Omsg))
% 31.50/31.50 | ~ hBOOL(c_in(V_X,c_Message_Osynth(c_Message_Osynth(V_H)),tc_Message_Omsg)) ) ).
% 31.50/31.50
% 31.50/31.50 cnf(cls_synth_OInj_0,axiom,
% 31.50/31.50 ( hBOOL(c_in(V_X,c_Message_Osynth(V_H),tc_Message_Omsg))
% 31.50/31.50 | ~ hBOOL(c_in(V_X,V_H,tc_Message_Omsg)) ) ).
% 31.50/31.50
% 31.50/31.50 cnf(cls_imageI_0,axiom,
% 31.50/31.50 ( hBOOL(c_in(hAPP(V_f,V_x),c_Set_Oimage(V_f,V_A,T_a,T_b),T_b))
% 31.50/31.50 | ~ hBOOL(c_in(V_x,V_A,T_a)) ) ).
% 31.50/31.50
% 31.50/31.50 cnf(cls_image__eqI_0,axiom,
% 31.50/31.50 ( hBOOL(c_in(hAPP(V_f,V_x),c_Set_Oimage(V_f,V_A,T_b,T_a),T_a))
% 31.50/31.50 | ~ hBOOL(c_in(V_x,V_A,T_b)) ) ).
% 31.50/31.50
% 31.50/31.50 cnf(cls_image__iff_2,axiom,
% 31.50/31.50 ( ~ hBOOL(c_in(V_x,V_A,T_b))
% 31.50/31.50 | hBOOL(c_in(hAPP(V_f,V_x),c_Set_Oimage(V_f,V_A,T_b,T_a),T_a)) ) ).
% 31.50/31.50
% 31.50/31.50 cnf(cls_rev__image__eqI_0,axiom,
% 31.50/31.50 ( ~ hBOOL(c_in(V_x,V_A,T_aa))
% 31.50/31.50 | hBOOL(c_in(hAPP(V_f,V_x),c_Set_Oimage(V_f,V_A,T_aa,T_a),T_a)) ) ).
% 31.50/31.50
% 31.50/31.50 cnf(cls_UNIV__I_0,axiom,
% 31.50/31.50 hBOOL(c_in(V_x,c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_bool)),T_a)) ).
% 31.50/31.50
% 31.50/31.50 cnf(cls_Key__not__used_0,axiom,
% 31.50/31.50 ( ~ hBOOL(c_in(V_K,c_Set_Oimage(c_Public_OshrK,c_Orderings_Otop__class_Otop(tc_fun(tc_Message_Oagent,tc_bool)),tc_Message_Oagent,tc_nat),tc_nat))
% 31.50/31.50 | hBOOL(c_in(hAPP(c_Message_Omsg_OKey,V_K),c_Event_Oused(V_evs),tc_Message_Omsg)) ) ).
% 31.50/31.50
% 31.50/31.50 cnf(cls_privateKey__into__used_0,axiom,
% 31.50/31.50 hBOOL(c_in(hAPP(c_Message_Omsg_OKey,hAPP(c_Message_OinvKey,hAPP(c_Public_OpublicKey(V_b),V_A))),c_Event_Oused(V_evs),tc_Message_Omsg)) ).
% 31.50/31.50
% 31.50/31.50 cnf(cls_shrK__notin__image__publicKey_0,axiom,
% 31.50/31.50 ~ hBOOL(c_in(hAPP(c_Public_OshrK,V_x),c_Set_Oimage(c_Public_OpublicKey(V_b),V_AA,tc_Message_Oagent,tc_nat),tc_nat)) ).
% 31.50/31.50
% 31.50/31.50 cnf(cls_not__Cons__self_0,axiom,
% 31.50/31.50 V_xs != c_List_Olist_OCons(V_x,V_xs,T_a) ).
% 31.50/31.50
% 31.50/31.50 cnf(cls_not__Cons__self2_0,axiom,
% 31.50/31.50 c_List_Olist_OCons(V_x,V_t,T_a) != V_t ).
% 31.50/31.50
% 31.50/31.50 cnf(cls_not__symKeys__pubK_0,axiom,
% 31.50/31.50 ~ hBOOL(c_in(hAPP(c_Public_OpublicKey(V_b),V_A),c_Message_OsymKeys,tc_nat)) ).
% 31.50/31.50
% 31.50/31.50 cnf(cls_synth__idem_0,axiom,
% 31.50/31.50 c_Message_Osynth(c_Message_Osynth(V_H)) = c_Message_Osynth(V_H) ).
% 31.50/31.50
% 31.50/31.50 cnf(cls_rangeI_0,axiom,
% 31.50/31.50 hBOOL(c_in(hAPP(V_f,V_x),c_Set_Oimage(V_f,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_bool)),T_b,T_a),T_a)) ).
% 31.50/31.50
% 31.50/31.50 cnf(cls_publicKey__inject_0,axiom,
% 31.50/31.50 ( hAPP(c_Public_OpublicKey(V_b),V_A) != hAPP(c_Public_OpublicKey(V_c),V_A_H)
% 31.50/31.50 | V_b = V_c ) ).
% 31.50/31.50
% 31.50/31.50 cnf(cls_publicKey__inject_1,axiom,
% 31.50/31.50 ( hAPP(c_Public_OpublicKey(V_b),V_A) != hAPP(c_Public_OpublicKey(V_c),V_A_H)
% 31.50/31.50 | V_A = V_A_H ) ).
% 31.50/31.50
% 31.50/31.50 cnf(cls_publicKey__notin__image__shrK_0,axiom,
% 31.50/31.50 ~ hBOOL(c_in(hAPP(c_Public_OpublicKey(V_b),V_x),c_Set_Oimage(c_Public_OshrK,V_AA,tc_Message_Oagent,tc_nat),tc_nat)) ).
% 31.50/31.50
% 31.50/31.50 cnf(cls_privateKey__neq__publicKey_0,axiom,
% 31.50/31.50 hAPP(c_Message_OinvKey,hAPP(c_Public_OpublicKey(V_b),V_A)) != hAPP(c_Public_OpublicKey(V_c),V_A_H) ).
% 31.50/31.50
% 31.50/31.50 cnf(cls_invKey__eq_0,axiom,
% 31.50/31.50 ( hAPP(c_Message_OinvKey,V_K) != hAPP(c_Message_OinvKey,V_K_H)
% 31.50/31.50 | V_K = V_K_H ) ).
% 31.50/31.50
% 31.50/31.50 cnf(cls_publicKey__image__eq_0,axiom,
% 31.50/31.50 ( V_b = V_c
% 31.50/31.50 | ~ hBOOL(c_in(hAPP(c_Public_OpublicKey(V_b),V_x),c_Set_Oimage(c_Public_OpublicKey(V_c),V_AA,tc_Message_Oagent,tc_nat),tc_nat)) ) ).
% 31.50/31.50
% 31.50/31.50 cnf(cls_publicKey__image__eq_1,axiom,
% 31.50/31.50 ( hBOOL(c_in(V_x,V_AA,tc_Message_Oagent))
% 31.50/31.50 | ~ hBOOL(c_in(hAPP(c_Public_OpublicKey(V_b),V_x),c_Set_Oimage(c_Public_OpublicKey(V_c),V_AA,tc_Message_Oagent,tc_nat),tc_nat)) ) ).
% 31.50/31.50
% 31.50/31.50 cnf(cls_publicKey__image__eq_2,axiom,
% 31.50/31.50 ( hBOOL(c_in(hAPP(c_Public_OpublicKey(V_x),V_xa),c_Set_Oimage(c_Public_OpublicKey(V_x),V_AA,tc_Message_Oagent,tc_nat),tc_nat))
% 31.50/31.50 | ~ hBOOL(c_in(V_xa,V_AA,tc_Message_Oagent)) ) ).
% 31.50/31.50
% 31.50/31.50 cnf(cls_privateKey__notin__image__publicKey_0,axiom,
% 31.50/31.50 ~ hBOOL(c_in(hAPP(c_Message_OinvKey,hAPP(c_Public_OpublicKey(V_b),V_x)),c_Set_Oimage(c_Public_OpublicKey(V_c),V_AA,tc_Message_Oagent,tc_nat),tc_nat)) ).
% 31.50/31.50
% 31.50/31.50 cnf(cls_symKeys__invKey__iff_0,axiom,
% 31.50/31.50 ( hBOOL(c_in(V_K,c_Message_OsymKeys,tc_nat))
% 31.50/31.50 | ~ hBOOL(c_in(hAPP(c_Message_OinvKey,V_K),c_Message_OsymKeys,tc_nat)) ) ).
% 31.50/31.50
% 31.50/31.50 cnf(cls_symKeys__invKey__iff_1,axiom,
% 31.50/31.50 ( hBOOL(c_in(hAPP(c_Message_OinvKey,V_K),c_Message_OsymKeys,tc_nat))
% 31.50/31.50 | ~ hBOOL(c_in(V_K,c_Message_OsymKeys,tc_nat)) ) ).
% 31.50/31.50
% 31.50/31.50 cnf(cls_invKey__K_0,axiom,
% 31.50/31.50 ( hAPP(c_Message_OinvKey,V_K) = V_K
% 31.50/31.50 | ~ hBOOL(c_in(V_K,c_Message_OsymKeys,tc_nat)) ) ).
% 31.50/31.50
% 31.50/31.50 cnf(cls_event_Osimps_I2_J_1,axiom,
% 31.50/31.50 ( c_Event_Oevent_OGets(V_agent,V_msg) != c_Event_Oevent_OGets(V_agent_H,V_msg_H)
% 31.50/31.50 | V_msg = V_msg_H ) ).
% 31.50/31.50
% 31.50/31.50 cnf(cls_event_Osimps_I2_J_0,axiom,
% 31.50/31.50 ( c_Event_Oevent_OGets(V_agent,V_msg) != c_Event_Oevent_OGets(V_agent_H,V_msg_H)
% 31.50/31.50 | V_agent = V_agent_H ) ).
% 31.50/31.50
% 31.50/31.50 cnf(cls_top1I_0,axiom,
% 31.50/31.50 hBOOL(hAPP(c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_bool)),V_x)) ).
% 31.50/31.50
% 31.50/31.50 cnf(cls_privateKey__notin__image__shrK_0,axiom,
% 31.50/31.50 ~ hBOOL(c_in(hAPP(c_Message_OinvKey,hAPP(c_Public_OpublicKey(V_b),V_x)),c_Set_Oimage(c_Public_OshrK,V_AA,tc_Message_Oagent,tc_nat),tc_nat)) ).
% 31.50/31.50
% 31.50/31.50 cnf(cls_event_Osimps_I8_J_0,axiom,
% 31.50/31.50 c_Event_Oevent_OGets(V_agent,V_msg) != c_Event_Oevent_ONotes(V_agent_H,V_msg_H) ).
% 31.50/31.50
% 31.50/31.50 cnf(cls_event_Osimps_I3_J_1,axiom,
% 31.50/31.50 ( c_Event_Oevent_ONotes(V_agent,V_msg) != c_Event_Oevent_ONotes(V_agent_H,V_msg_H)
% 31.50/31.50 | V_msg = V_msg_H ) ).
% 31.50/31.50
% 31.50/31.50 cnf(cls_event_Osimps_I3_J_0,axiom,
% 31.50/31.50 ( c_Event_Oevent_ONotes(V_agent,V_msg) != c_Event_Oevent_ONotes(V_agent_H,V_msg_H)
% 31.50/31.50 | V_agent = V_agent_H ) ).
% 31.50/31.50
% 31.50/31.50 cnf(cls_invKey_0,axiom,
% 31.50/31.50 hAPP(c_Message_OinvKey,hAPP(c_Message_OinvKey,V_K)) = V_K ).
% 31.50/31.50
% 31.50/31.50 cnf(cls_not__symKeys__priK_0,axiom,
% 31.50/31.50 ~ hBOOL(c_in(hAPP(c_Message_OinvKey,hAPP(c_Public_OpublicKey(V_b),V_A)),c_Message_OsymKeys,tc_nat)) ).
% 31.50/31.50
% 31.50/31.50 cnf(cls_event_Osimps_I9_J_0,axiom,
% 31.50/31.50 c_Event_Oevent_ONotes(V_agent_H,V_msg_H) != c_Event_Oevent_OGets(V_agent,V_msg) ).
% 31.50/31.50
% 31.50/31.50 cnf(cls_list_Oinject_0,axiom,
% 31.50/31.50 ( c_List_Olist_OCons(V_a,V_list,T_a) != c_List_Olist_OCons(V_a_H,V_list_H,T_a)
% 31.50/31.50 | V_a = V_a_H ) ).
% 31.50/31.50
% 31.50/31.50 cnf(cls_list_Oinject_1,axiom,
% 31.50/31.50 ( c_List_Olist_OCons(V_a,V_list,T_a) != c_List_Olist_OCons(V_a_H,V_list_H,T_a)
% 31.50/31.50 | V_list = V_list_H ) ).
% 31.50/31.50
% 31.50/31.50 cnf(cls_priK__neq__shrK_0,axiom,
% 31.50/31.50 hAPP(c_Public_OshrK,V_A) != hAPP(c_Message_OinvKey,hAPP(c_Public_OpublicKey(V_b),V_C)) ).
% 31.50/31.50
% 31.50/31.50 cnf(cls_used__Gets_0,axiom,
% 31.50/31.50 c_Event_Oused(c_List_Olist_OCons(c_Event_Oevent_OGets(V_A,V_X),V_evs,tc_Event_Oevent)) = c_Event_Oused(V_evs) ).
% 31.50/31.50
% 31.50/31.50 cnf(cls_shrK__neq__priK_0,axiom,
% 31.50/31.50 hAPP(c_Message_OinvKey,hAPP(c_Public_OpublicKey(V_b),V_C)) != hAPP(c_Public_OshrK,V_A) ).
% 31.50/31.50
% 31.50/31.50 cnf(cls_publicKey__neq__privateKey_0,axiom,
% 31.50/31.50 hAPP(c_Public_OpublicKey(V_c),V_A_H) != hAPP(c_Message_OinvKey,hAPP(c_Public_OpublicKey(V_b),V_A)) ).
% 31.50/31.50
% 31.50/31.50 cnf(cls_sym__shrK_0,axiom,
% 31.50/31.50 hBOOL(c_in(hAPP(c_Public_OshrK,V_X),c_Message_OsymKeys,tc_nat)) ).
% 31.50/31.50
% 31.50/31.50 cnf(cls_ns__shared_ONS4_0,axiom,
% 31.50/31.50 ( hBOOL(c_in(c_List_Olist_OCons(c_Event_Oevent_OSays(V_B,V_A,c_Message_Omsg_OCrypt(V_K,c_Message_Omsg_ONonce(V_NB))),V_evs4,tc_Event_Oevent),c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent)))
% 31.50/31.50 | ~ hBOOL(c_in(c_Event_Oevent_OSays(V_A_H,V_B,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,V_B),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,V_K),c_Message_Omsg_OAgent(V_A)))),c_List_Oset(V_evs4,tc_Event_Oevent),tc_Event_Oevent))
% 31.50/31.50 | ~ hBOOL(c_in(V_K,c_Message_OsymKeys,tc_nat))
% 31.50/31.50 | hBOOL(c_in(c_Message_Omsg_ONonce(V_NB),c_Event_Oused(V_evs4),tc_Message_Omsg))
% 31.50/31.50 | ~ hBOOL(c_in(V_evs4,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))) ) ).
% 31.50/31.50
% 31.50/31.50 cnf(cls_Spy__spies__bad__privateKey_0,axiom,
% 31.50/31.50 ( hBOOL(c_in(hAPP(c_Message_Omsg_OKey,hAPP(c_Message_OinvKey,hAPP(c_Public_OpublicKey(V_b),V_A))),c_Event_Oknows(c_Message_Oagent_OSpy,V_evs),tc_Message_Omsg))
% 31.50/31.50 | ~ hBOOL(c_in(V_A,c_Event_Obad,tc_Message_Oagent)) ) ).
% 31.50/31.50
% 31.50/31.50 cnf(cls_ns__shared_OFake_0,axiom,
% 31.50/31.50 ( hBOOL(c_in(c_List_Olist_OCons(c_Event_Oevent_OSays(c_Message_Oagent_OSpy,V_B,V_X),V_evsf,tc_Event_Oevent),c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent)))
% 31.50/31.50 | ~ hBOOL(c_in(V_X,c_Message_Osynth(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,V_evsf))),tc_Message_Omsg))
% 31.50/31.50 | ~ hBOOL(c_in(V_evsf,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))) ) ).
% 31.50/31.50
% 31.50/31.50 cnf(cls_ns__shared_ONS5_0,axiom,
% 31.50/31.50 ( hBOOL(c_in(c_List_Olist_OCons(c_Event_Oevent_OSays(V_A,V_B,c_Message_Omsg_OCrypt(V_K,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(V_NB),c_Message_Omsg_ONonce(V_NB)))),V_evs5,tc_Event_Oevent),c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent)))
% 31.50/31.50 | ~ hBOOL(c_in(c_Event_Oevent_OSays(V_S,V_A,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,V_A),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(V_NA),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(V_B),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,V_K),V_X))))),c_List_Oset(V_evs5,tc_Event_Oevent),tc_Event_Oevent))
% 31.50/31.50 | ~ hBOOL(c_in(c_Event_Oevent_OSays(V_B_H,V_A,c_Message_Omsg_OCrypt(V_K,c_Message_Omsg_ONonce(V_NB))),c_List_Oset(V_evs5,tc_Event_Oevent),tc_Event_Oevent))
% 31.50/31.50 | ~ hBOOL(c_in(V_K,c_Message_OsymKeys,tc_nat))
% 31.50/31.50 | ~ hBOOL(c_in(V_evs5,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))) ) ).
% 31.50/31.50
% 31.50/31.50 cnf(cls_analz_ODecrypt_0,axiom,
% 31.50/31.50 ( hBOOL(c_in(V_X,c_Message_Oanalz(V_H),tc_Message_Omsg))
% 31.50/31.50 | ~ hBOOL(c_in(hAPP(c_Message_Omsg_OKey,hAPP(c_Message_OinvKey,V_K)),c_Message_Oanalz(V_H),tc_Message_Omsg))
% 31.50/31.50 | ~ hBOOL(c_in(c_Message_Omsg_OCrypt(V_K,V_X),c_Message_Oanalz(V_H),tc_Message_Omsg)) ) ).
% 31.50/31.50
% 31.50/31.50 cnf(cls_usedI_0,axiom,
% 31.50/31.50 ( hBOOL(c_in(V_c,c_Event_Oused(V_evs),tc_Message_Omsg))
% 31.50/31.50 | ~ hBOOL(c_in(V_c,c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,V_evs)),tc_Message_Omsg)) ) ).
% 31.50/31.50
% 31.50/31.50 cnf(cls_spies__pubK_0,axiom,
% 31.50/31.50 hBOOL(c_in(hAPP(c_Message_Omsg_OKey,hAPP(c_Public_OpublicKey(V_b),V_A)),c_Event_Oknows(c_Message_Oagent_OSpy,V_evs),tc_Message_Omsg)) ).
% 31.50/31.50
% 31.50/31.50 cnf(cls_Notes__imp__knows_0,axiom,
% 31.50/31.50 ( hBOOL(c_in(V_X,c_Event_Oknows(V_A,V_evs),tc_Message_Omsg))
% 31.50/31.50 | ~ hBOOL(c_in(c_Event_Oevent_ONotes(V_A,V_X),c_List_Oset(V_evs,tc_Event_Oevent),tc_Event_Oevent)) ) ).
% 31.50/31.50
% 31.50/31.50 cnf(cls_Says__imp__used_0,axiom,
% 31.50/31.50 ( hBOOL(c_in(V_X,c_Event_Oused(V_evs),tc_Message_Omsg))
% 31.50/31.50 | ~ hBOOL(c_in(c_Event_Oevent_OSays(V_A,V_B,V_X),c_List_Oset(V_evs,tc_Event_Oevent),tc_Event_Oevent)) ) ).
% 31.50/31.50
% 31.50/31.50 cnf(cls_ns__shared_OOops_0,axiom,
% 31.50/31.50 ( hBOOL(c_in(c_List_Olist_OCons(c_Event_Oevent_ONotes(c_Message_Oagent_OSpy,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(V_NA),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(V_NB),hAPP(c_Message_Omsg_OKey,V_K)))),V_evso,tc_Event_Oevent),c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent)))
% 31.50/31.50 | ~ hBOOL(c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,V_A,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,V_A),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(V_NA),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(V_B),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,V_K),V_X))))),c_List_Oset(V_evso,tc_Event_Oevent),tc_Event_Oevent))
% 31.50/31.50 | ~ hBOOL(c_in(c_Event_Oevent_OSays(V_B,V_A,c_Message_Omsg_OCrypt(V_K,c_Message_Omsg_ONonce(V_NB))),c_List_Oset(V_evso,tc_Event_Oevent),tc_Event_Oevent))
% 31.50/31.50 | ~ hBOOL(c_in(V_evso,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))) ) ).
% 31.50/31.50
% 31.50/31.50 cnf(cls_cert__A__form_0,axiom,
% 31.50/31.50 ( ~ hBOOL(c_in(V_K,c_Set_Oimage(c_Public_OshrK,c_Orderings_Otop__class_Otop(tc_fun(tc_Message_Oagent,tc_bool)),tc_Message_Oagent,tc_nat),tc_nat))
% 31.50/31.50 | ~ hBOOL(c_in(V_evs,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent)))
% 31.50/31.50 | hBOOL(c_in(V_A,c_Event_Obad,tc_Message_Oagent))
% 31.50/31.50 | ~ hBOOL(c_in(c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,V_A),c_Message_Omsg_OMPair(V_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(V_B),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,V_K),V_X)))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,V_evs)),tc_Message_Omsg)) ) ).
% 31.50/31.50
% 31.50/31.50 cnf(cls_analz__spies__pubK_0,axiom,
% 31.50/31.50 hBOOL(c_in(hAPP(c_Message_Omsg_OKey,hAPP(c_Public_OpublicKey(V_b),V_A)),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,V_evs)),tc_Message_Omsg)) ).
% 31.50/31.50
% 31.50/31.50 cnf(cls_analz__mono__contra_I1_J_0,axiom,
% 31.50/31.50 ( ~ hBOOL(c_in(V_c,c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,V_evs)),tc_Message_Omsg))
% 31.50/31.50 | hBOOL(c_in(V_c,c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,c_List_Olist_OCons(c_Event_Oevent_OSays(V_A,V_B,V_X),V_evs,tc_Event_Oevent))),tc_Message_Omsg)) ) ).
% 31.50/31.50
% 31.50/31.50 cnf(cls_Says__S__message__form_0,axiom,
% 31.50/31.50 ( hBOOL(c_in(V_X,c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,V_evs)),tc_Message_Omsg))
% 31.50/31.50 | ~ hBOOL(c_in(V_K,c_Set_Oimage(c_Public_OshrK,c_Orderings_Otop__class_Otop(tc_fun(tc_Message_Oagent,tc_bool)),tc_Message_Oagent,tc_nat),tc_nat))
% 31.50/31.50 | ~ hBOOL(c_in(V_evs,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent)))
% 31.50/31.50 | ~ hBOOL(c_in(c_Event_Oevent_OSays(V_S,V_A,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,V_A),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(V_NA),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(V_B),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,V_K),V_X))))),c_List_Oset(V_evs,tc_Event_Oevent),tc_Event_Oevent)) ) ).
% 31.50/31.50
% 31.50/31.50 cnf(cls_Gets__imp__knows__agents_0,axiom,
% 31.50/31.50 ( hBOOL(c_in(V_X,c_Event_Oknows(V_A,V_evs),tc_Message_Omsg))
% 31.50/31.50 | ~ hBOOL(c_in(c_Event_Oevent_OGets(V_A,V_X),c_List_Oset(V_evs,tc_Event_Oevent),tc_Event_Oevent))
% 31.50/31.50 | V_A = c_Message_Oagent_OSpy ) ).
% 31.50/31.50
% 31.50/31.50 cnf(cls_Spy__not__see__encrypted__key_0,axiom,
% 31.50/31.50 ( ~ hBOOL(c_in(hAPP(c_Message_Omsg_OKey,V_K),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,V_evs)),tc_Message_Omsg))
% 31.50/31.50 | ~ hBOOL(c_in(V_evs,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent)))
% 31.50/31.50 | hBOOL(c_in(V_B,c_Event_Obad,tc_Message_Oagent))
% 31.50/31.50 | hBOOL(c_in(V_A,c_Event_Obad,tc_Message_Oagent))
% 31.50/31.50 | hBOOL(c_in(c_Event_Oevent_ONotes(c_Message_Oagent_OSpy,c_Message_Omsg_OMPair(V_NA,c_Message_Omsg_OMPair(v_sko__NS__Shared__Mirabelle__XSpy__not__see__encrypted__key__1(V_K,V_NA,V_evs),hAPP(c_Message_Omsg_OKey,V_K)))),c_List_Oset(V_evs,tc_Event_Oevent),tc_Event_Oevent))
% 31.50/31.50 | ~ hBOOL(c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,V_A,c_Message_Omsg_OCrypt(V_K_H,c_Message_Omsg_OMPair(V_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(V_B),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,V_K),V_X))))),c_List_Oset(V_evs,tc_Event_Oevent),tc_Event_Oevent)) ) ).
% 31.50/31.50
% 31.50/31.50 cnf(cls_secrecy__lemma_0,axiom,
% 31.50/31.50 ( ~ hBOOL(c_in(hAPP(c_Message_Omsg_OKey,V_K),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,V_evs)),tc_Message_Omsg))
% 31.50/31.50 | hBOOL(c_in(c_Event_Oevent_ONotes(c_Message_Oagent_OSpy,c_Message_Omsg_OMPair(V_NA,c_Message_Omsg_OMPair(v_sko__NS__Shared__Mirabelle__Xsecrecy__lemma__1(V_K,V_NA,V_evs),hAPP(c_Message_Omsg_OKey,V_K)))),c_List_Oset(V_evs,tc_Event_Oevent),tc_Event_Oevent))
% 31.50/31.50 | ~ hBOOL(c_in(V_evs,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent)))
% 31.50/31.50 | hBOOL(c_in(V_B,c_Event_Obad,tc_Message_Oagent))
% 31.50/31.50 | hBOOL(c_in(V_A,c_Event_Obad,tc_Message_Oagent))
% 31.50/31.50 | ~ hBOOL(c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,V_A,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,V_A),c_Message_Omsg_OMPair(V_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(V_B),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,V_K),c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,V_B),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,V_K),c_Message_Omsg_OAgent(V_A)))))))),c_List_Oset(V_evs,tc_Event_Oevent),tc_Event_Oevent)) ) ).
% 31.50/31.50
% 31.50/31.50 cnf(cls_ns__shared_ONS3_0,axiom,
% 31.50/31.50 ( hBOOL(c_in(c_List_Olist_OCons(c_Event_Oevent_OSays(V_A,V_B,V_X),V_evs3,tc_Event_Oevent),c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent)))
% 31.50/31.50 | ~ hBOOL(c_in(c_Event_Oevent_OSays(V_A,c_Message_Oagent_OServer,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(V_A),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(V_B),c_Message_Omsg_ONonce(V_NA)))),c_List_Oset(V_evs3,tc_Event_Oevent),tc_Event_Oevent))
% 31.50/31.50 | ~ hBOOL(c_in(c_Event_Oevent_OSays(V_S,V_A,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,V_A),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(V_NA),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(V_B),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,V_K),V_X))))),c_List_Oset(V_evs3,tc_Event_Oevent),tc_Event_Oevent))
% 31.50/31.50 | V_A = c_Message_Oagent_OServer
% 31.50/31.50 | ~ hBOOL(c_in(V_evs3,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))) ) ).
% 31.50/31.50
% 31.50/31.50 cnf(cls_B__trusts__NS5_0,axiom,
% 31.50/31.50 ( hBOOL(c_in(c_Event_Oevent_OSays(V_A,V_B,c_Message_Omsg_OCrypt(V_K,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(V_NB),c_Message_Omsg_ONonce(V_NB)))),c_List_Oset(V_evs,tc_Event_Oevent),tc_Event_Oevent))
% 31.50/31.50 | ~ hBOOL(c_in(V_evs,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent)))
% 31.50/31.50 | hBOOL(c_in(V_B,c_Event_Obad,tc_Message_Oagent))
% 31.50/31.50 | hBOOL(c_in(V_A,c_Event_Obad,tc_Message_Oagent))
% 31.50/31.50 | hBOOL(c_in(c_Event_Oevent_ONotes(c_Message_Oagent_OSpy,c_Message_Omsg_OMPair(v_sko__NS__Shared__Mirabelle__XB__trusts__NS5__1(V_K,V_evs),c_Message_Omsg_OMPair(v_sko__NS__Shared__Mirabelle__XB__trusts__NS5__2(V_K,V_evs),hAPP(c_Message_Omsg_OKey,V_K)))),c_List_Oset(V_evs,tc_Event_Oevent),tc_Event_Oevent))
% 31.50/31.50 | ~ hBOOL(c_in(c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,V_B),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,V_K),c_Message_Omsg_OAgent(V_A))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,V_evs)),tc_Message_Omsg))
% 31.50/31.50 | ~ hBOOL(c_in(c_Message_Omsg_OCrypt(V_K,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(V_NB),c_Message_Omsg_ONonce(V_NB))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,V_evs)),tc_Message_Omsg)) ) ).
% 31.50/31.50
% 31.50/31.50 cnf(cls_Notes__imp__knows__Spy_0,axiom,
% 31.50/31.50 ( hBOOL(c_in(V_X,c_Event_Oknows(c_Message_Oagent_OSpy,V_evs),tc_Message_Omsg))
% 31.50/31.50 | ~ hBOOL(c_in(V_A,c_Event_Obad,tc_Message_Oagent))
% 31.50/31.50 | ~ hBOOL(c_in(c_Event_Oevent_ONotes(V_A,V_X),c_List_Oset(V_evs,tc_Event_Oevent),tc_Event_Oevent)) ) ).
% 31.50/31.50
% 31.50/31.50 cnf(cls_NS4__implies__NS3_0,axiom,
% 31.50/31.50 ( hBOOL(c_in(c_Event_Oevent_OSays(v_sko__NS__Shared__Mirabelle__XNS4__implies__NS3__1(V_B,V_X,V_evs),V_B,V_X),c_List_Oset(V_evs,tc_Event_Oevent),tc_Event_Oevent))
% 31.50/31.50 | ~ hBOOL(c_in(c_Message_Omsg_OCrypt(V_K,c_Message_Omsg_ONonce(V_NB)),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,V_evs)),tc_Message_Omsg))
% 31.50/31.50 | ~ hBOOL(c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,V_A,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,V_A),c_Message_Omsg_OMPair(V_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(V_B),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,V_K),V_X))))),c_List_Oset(V_evs,tc_Event_Oevent),tc_Event_Oevent))
% 31.50/31.50 | hBOOL(c_in(hAPP(c_Message_Omsg_OKey,V_K),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,V_evs)),tc_Message_Omsg))
% 31.50/31.50 | ~ hBOOL(c_in(V_evs,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))) ) ).
% 31.50/31.50
% 31.50/31.50 cnf(cls_B__trusts__NS3_0,axiom,
% 31.50/31.50 ( hBOOL(c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,V_A,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,V_A),c_Message_Omsg_OMPair(v_sko__NS__Shared__Mirabelle__XB__trusts__NS3__1(V_A,V_B,V_K,V_evs),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(V_B),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,V_K),c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,V_B),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,V_K),c_Message_Omsg_OAgent(V_A)))))))),c_List_Oset(V_evs,tc_Event_Oevent),tc_Event_Oevent))
% 31.50/31.50 | ~ hBOOL(c_in(V_evs,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent)))
% 31.50/31.50 | hBOOL(c_in(V_B,c_Event_Obad,tc_Message_Oagent))
% 31.50/31.50 | ~ hBOOL(c_in(c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,V_B),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,V_K),c_Message_Omsg_OAgent(V_A))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,V_evs)),tc_Message_Omsg)) ) ).
% 31.50/31.50
% 31.50/31.50 cnf(cls_A__trusts__NS4_0,axiom,
% 31.50/31.50 ( hBOOL(c_in(c_Event_Oevent_OSays(V_B,V_A,c_Message_Omsg_OCrypt(V_K,c_Message_Omsg_ONonce(V_NB))),c_List_Oset(V_evs,tc_Event_Oevent),tc_Event_Oevent))
% 31.50/31.50 | ~ hBOOL(c_in(V_evs,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent)))
% 31.50/31.50 | hBOOL(c_in(V_B,c_Event_Obad,tc_Message_Oagent))
% 31.50/31.50 | hBOOL(c_in(V_A,c_Event_Obad,tc_Message_Oagent))
% 31.50/31.50 | hBOOL(c_in(c_Event_Oevent_ONotes(c_Message_Oagent_OSpy,c_Message_Omsg_OMPair(V_NA,c_Message_Omsg_OMPair(v_sko__NS__Shared__Mirabelle__XA__trusts__NS4__1(V_K,V_NA,V_evs),hAPP(c_Message_Omsg_OKey,V_K)))),c_List_Oset(V_evs,tc_Event_Oevent),tc_Event_Oevent))
% 31.50/31.50 | ~ hBOOL(c_in(c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,V_A),c_Message_Omsg_OMPair(V_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(V_B),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,V_K),V_X)))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,V_evs)),tc_Message_Omsg))
% 31.50/31.50 | ~ hBOOL(c_in(c_Message_Omsg_OCrypt(V_K,c_Message_Omsg_ONonce(V_NB)),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,V_evs)),tc_Message_Omsg)) ) ).
% 31.50/31.50
% 31.50/31.50 cnf(cls_Oops__parts__spies_0,axiom,
% 31.50/31.50 ( hBOOL(c_in(V_K,c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,V_evs)),tc_Message_Omsg))
% 31.50/31.50 | ~ hBOOL(c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,V_A,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,V_A),c_Message_Omsg_OMPair(V_NA,c_Message_Omsg_OMPair(V_B,c_Message_Omsg_OMPair(V_K,V_X))))),c_List_Oset(V_evs,tc_Event_Oevent),tc_Event_Oevent)) ) ).
% 31.50/31.50
% 31.50/31.50 cnf(cls_Says__Server__message__form_2,axiom,
% 31.50/31.50 ( V_K_H = hAPP(c_Public_OshrK,V_A)
% 31.50/31.50 | ~ hBOOL(c_in(V_evs,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent)))
% 31.50/31.50 | ~ hBOOL(c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,V_A,c_Message_Omsg_OCrypt(V_K_H,c_Message_Omsg_OMPair(V_N,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(V_B),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,V_K),V_X))))),c_List_Oset(V_evs,tc_Event_Oevent),tc_Event_Oevent)) ) ).
% 31.50/31.50
% 31.50/31.50 cnf(cls_unique__session__keys_0,axiom,
% 31.50/31.50 ( V_A = V_A_H
% 31.50/31.50 | ~ hBOOL(c_in(V_evs,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent)))
% 31.50/31.50 | ~ hBOOL(c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,V_A_H,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,V_A_H),c_Message_Omsg_OMPair(V_NA_H,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(V_B_H),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,V_K),V_X_H))))),c_List_Oset(V_evs,tc_Event_Oevent),tc_Event_Oevent))
% 31.50/31.50 | ~ hBOOL(c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,V_A,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,V_A),c_Message_Omsg_OMPair(V_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(V_B),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,V_K),V_X))))),c_List_Oset(V_evs,tc_Event_Oevent),tc_Event_Oevent)) ) ).
% 31.50/31.50
% 31.50/31.50 cnf(cls_unique__session__keys_1,axiom,
% 31.50/31.50 ( V_NA = V_NA_H
% 31.50/31.50 | ~ hBOOL(c_in(V_evs,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent)))
% 31.50/31.50 | ~ hBOOL(c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,V_A_H,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,V_A_H),c_Message_Omsg_OMPair(V_NA_H,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(V_B_H),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,V_K),V_X_H))))),c_List_Oset(V_evs,tc_Event_Oevent),tc_Event_Oevent))
% 31.50/31.50 | ~ hBOOL(c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,V_A,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,V_A),c_Message_Omsg_OMPair(V_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(V_B),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,V_K),V_X))))),c_List_Oset(V_evs,tc_Event_Oevent),tc_Event_Oevent)) ) ).
% 31.50/31.50
% 31.50/31.50 cnf(cls_unique__session__keys_2,axiom,
% 31.50/31.50 ( V_B = V_B_H
% 31.50/31.50 | ~ hBOOL(c_in(V_evs,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent)))
% 31.50/31.50 | ~ hBOOL(c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,V_A_H,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,V_A_H),c_Message_Omsg_OMPair(V_NA_H,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(V_B_H),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,V_K),V_X_H))))),c_List_Oset(V_evs,tc_Event_Oevent),tc_Event_Oevent))
% 31.50/31.50 | ~ hBOOL(c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,V_A,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,V_A),c_Message_Omsg_OMPair(V_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(V_B),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,V_K),V_X))))),c_List_Oset(V_evs,tc_Event_Oevent),tc_Event_Oevent)) ) ).
% 31.50/31.50
% 31.50/31.50 cnf(cls_unique__session__keys_3,axiom,
% 31.50/31.50 ( V_X = V_X_H
% 31.50/31.50 | ~ hBOOL(c_in(V_evs,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent)))
% 31.50/31.50 | ~ hBOOL(c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,V_A_H,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,V_A_H),c_Message_Omsg_OMPair(V_NA_H,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(V_B_H),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,V_K),V_X_H))))),c_List_Oset(V_evs,tc_Event_Oevent),tc_Event_Oevent))
% 31.50/31.50 | ~ hBOOL(c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,V_A,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,V_A),c_Message_Omsg_OMPair(V_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(V_B),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,V_K),V_X))))),c_List_Oset(V_evs,tc_Event_Oevent),tc_Event_Oevent)) ) ).
% 31.50/31.50
% 31.50/31.50 cnf(cls_Says__Server__message__form_1,axiom,
% 31.50/31.50 ( 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)))
% 31.50/31.50 | ~ hBOOL(c_in(V_evs,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent)))
% 31.50/31.50 | ~ hBOOL(c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,V_A,c_Message_Omsg_OCrypt(V_K_H,c_Message_Omsg_OMPair(V_N,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(V_B),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,V_K),V_X))))),c_List_Oset(V_evs,tc_Event_Oevent),tc_Event_Oevent)) ) ).
% 31.50/31.50
% 31.50/31.50 cnf(cls_B__Issues__A_0,axiom,
% 31.50/31.50 ( c_NS__Shared__Mirabelle_OIssues(V_B,V_A,c_Message_Omsg_OCrypt(V_K,c_Message_Omsg_ONonce(V_Nb)),V_evs)
% 31.50/31.50 | ~ hBOOL(c_in(V_evs,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent)))
% 31.50/31.50 | hBOOL(c_in(V_B,c_Event_Obad,tc_Message_Oagent))
% 31.50/31.50 | hBOOL(c_in(V_A,c_Event_Obad,tc_Message_Oagent))
% 31.50/31.50 | hBOOL(c_in(hAPP(c_Message_Omsg_OKey,V_K),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,V_evs)),tc_Message_Omsg))
% 31.50/31.50 | ~ hBOOL(c_in(c_Event_Oevent_OSays(V_B,V_A,c_Message_Omsg_OCrypt(V_K,c_Message_Omsg_ONonce(V_Nb))),c_List_Oset(V_evs,tc_Event_Oevent),tc_Event_Oevent)) ) ).
% 31.50/31.50
% 31.50/31.50 cnf(cls_A__authenticates__and__keydist__to__B_0,axiom,
% 31.50/31.50 ( c_NS__Shared__Mirabelle_OIssues(V_B,V_A,c_Message_Omsg_OCrypt(V_K,c_Message_Omsg_ONonce(V_NB)),V_evs)
% 31.50/31.50 | ~ hBOOL(c_in(V_evs,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent)))
% 31.50/31.50 | hBOOL(c_in(V_B,c_Event_Obad,tc_Message_Oagent))
% 31.50/31.50 | hBOOL(c_in(V_A,c_Event_Obad,tc_Message_Oagent))
% 31.50/31.50 | hBOOL(c_in(hAPP(c_Message_Omsg_OKey,V_K),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,V_evs)),tc_Message_Omsg))
% 31.50/31.50 | ~ hBOOL(c_in(c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,V_A),c_Message_Omsg_OMPair(V_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(V_B),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,V_K),V_X)))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,V_evs)),tc_Message_Omsg))
% 31.50/31.50 | ~ hBOOL(c_in(c_Message_Omsg_OCrypt(V_K,c_Message_Omsg_ONonce(V_NB)),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,V_evs)),tc_Message_Omsg)) ) ).
% 31.50/31.50
% 31.50/31.50 cnf(cls_A__trusts__NS4__lemma_0,axiom,
% 31.50/31.50 ( hBOOL(c_in(c_Event_Oevent_OSays(V_B,V_A,c_Message_Omsg_OCrypt(V_K,c_Message_Omsg_ONonce(V_NB))),c_List_Oset(V_evs,tc_Event_Oevent),tc_Event_Oevent))
% 31.50/31.50 | ~ hBOOL(c_in(c_Message_Omsg_OCrypt(V_K,c_Message_Omsg_ONonce(V_NB)),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,V_evs)),tc_Message_Omsg))
% 31.50/31.50 | ~ hBOOL(c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,V_A,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,V_A),c_Message_Omsg_OMPair(V_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(V_B),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,V_K),V_X))))),c_List_Oset(V_evs,tc_Event_Oevent),tc_Event_Oevent))
% 31.50/31.50 | hBOOL(c_in(hAPP(c_Message_Omsg_OKey,V_K),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,V_evs)),tc_Message_Omsg))
% 31.50/31.50 | ~ hBOOL(c_in(V_evs,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))) ) ).
% 31.50/31.50
% 31.50/31.50 cnf(cls_A__trusts__NS2_0,axiom,
% 31.50/31.50 ( hBOOL(c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,V_A,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,V_A),c_Message_Omsg_OMPair(V_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(V_B),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,V_K),V_X))))),c_List_Oset(V_evs,tc_Event_Oevent),tc_Event_Oevent))
% 31.50/31.50 | ~ hBOOL(c_in(V_evs,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent)))
% 31.50/31.50 | hBOOL(c_in(V_A,c_Event_Obad,tc_Message_Oagent))
% 31.50/31.50 | ~ hBOOL(c_in(c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,V_A),c_Message_Omsg_OMPair(V_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(V_B),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,V_K),V_X)))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,V_evs)),tc_Message_Omsg)) ) ).
% 31.50/31.50
% 31.50/31.50 cnf(cls_B__trusts__NS5__lemma_0,axiom,
% 31.50/31.50 ( hBOOL(c_in(c_Event_Oevent_OSays(V_A,V_B,c_Message_Omsg_OCrypt(V_K,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(V_NB),c_Message_Omsg_ONonce(V_NB)))),c_List_Oset(V_evs,tc_Event_Oevent),tc_Event_Oevent))
% 31.50/31.50 | ~ hBOOL(c_in(c_Message_Omsg_OCrypt(V_K,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(V_NB),c_Message_Omsg_ONonce(V_NB))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,V_evs)),tc_Message_Omsg))
% 31.50/31.50 | ~ hBOOL(c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,V_A,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,V_A),c_Message_Omsg_OMPair(V_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(V_B),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,V_K),c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,V_B),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,V_K),c_Message_Omsg_OAgent(V_A)))))))),c_List_Oset(V_evs,tc_Event_Oevent),tc_Event_Oevent))
% 31.50/31.50 | hBOOL(c_in(hAPP(c_Message_Omsg_OKey,V_K),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,V_evs)),tc_Message_Omsg))
% 31.50/31.50 | ~ hBOOL(c_in(V_evs,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent)))
% 31.50/31.50 | hBOOL(c_in(V_B,c_Event_Obad,tc_Message_Oagent)) ) ).
% 31.50/31.50
% 31.50/31.50 cnf(cls_msg_Osimps_I1_J_0,axiom,
% 31.50/31.50 ( c_Message_Omsg_OAgent(V_agent) != c_Message_Omsg_OAgent(V_agent_H)
% 31.50/31.50 | V_agent = V_agent_H ) ).
% 31.50/31.50
% 31.50/31.50 cnf(cls_parts__analz_0,axiom,
% 31.50/31.50 c_Message_Oparts(c_Message_Oanalz(V_H)) = c_Message_Oparts(V_H) ).
% 31.50/31.50
% 31.50/31.50 cnf(cls_Says__imp__knows_0,axiom,
% 31.50/31.50 ( hBOOL(c_in(V_X,c_Event_Oknows(V_A,V_evs),tc_Message_Omsg))
% 31.50/31.50 | ~ hBOOL(c_in(c_Event_Oevent_OSays(V_A,V_B,V_X),c_List_Oset(V_evs,tc_Event_Oevent),tc_Event_Oevent)) ) ).
% 31.50/31.50
% 31.50/31.50 cnf(cls_analz__idem_0,axiom,
% 31.50/31.50 c_Message_Oanalz(c_Message_Oanalz(V_H)) = c_Message_Oanalz(V_H) ).
% 31.50/31.50
% 31.50/31.50 cnf(cls_analz_OSnd_0,axiom,
% 31.50/31.50 ( hBOOL(c_in(V_Y,c_Message_Oanalz(V_H),tc_Message_Omsg))
% 31.50/31.50 | ~ hBOOL(c_in(c_Message_Omsg_OMPair(V_X,V_Y),c_Message_Oanalz(V_H),tc_Message_Omsg)) ) ).
% 31.50/31.50
% 31.50/31.50 cnf(cls_analz_OFst_0,axiom,
% 31.50/31.50 ( hBOOL(c_in(V_X,c_Message_Oanalz(V_H),tc_Message_Omsg))
% 31.50/31.50 | ~ hBOOL(c_in(c_Message_Omsg_OMPair(V_X,V_Y),c_Message_Oanalz(V_H),tc_Message_Omsg)) ) ).
% 31.50/31.50
% 31.50/31.50 cnf(cls_parts_OSnd_0,axiom,
% 31.50/31.50 ( hBOOL(c_in(V_Y,c_Message_Oparts(V_H),tc_Message_Omsg))
% 31.50/31.50 | ~ hBOOL(c_in(c_Message_Omsg_OMPair(V_X,V_Y),c_Message_Oparts(V_H),tc_Message_Omsg)) ) ).
% 31.50/31.50
% 31.50/31.50 cnf(cls_parts_OFst_0,axiom,
% 31.50/31.50 ( hBOOL(c_in(V_X,c_Message_Oparts(V_H),tc_Message_Omsg))
% 31.50/31.50 | ~ hBOOL(c_in(c_Message_Omsg_OMPair(V_X,V_Y),c_Message_Oparts(V_H),tc_Message_Omsg)) ) ).
% 31.50/31.50
% 31.50/31.50 cnf(cls_msg_Osimps_I37_J_0,axiom,
% 31.50/31.50 c_Message_Omsg_OCrypt(V_nat_H,V_msg_H) != c_Message_Omsg_ONonce(V_nat) ).
% 31.50/31.50
% 31.50/31.50 cnf(cls_msg_Osimps_I12_J_0,axiom,
% 31.50/31.50 c_Message_Omsg_OAgent(V_agent) != hAPP(c_Message_Omsg_OKey,V_nat_H) ).
% 31.50/31.50
% 31.50/31.50 cnf(cls_msg_Osimps_I31_J_0,axiom,
% 31.50/31.50 hAPP(c_Message_Omsg_OKey,V_nat_H) != c_Message_Omsg_ONonce(V_nat) ).
% 31.50/31.50
% 31.50/31.50 cnf(cls_event_Osimps_I1_J_0,axiom,
% 31.50/31.50 ( c_Event_Oevent_OSays(V_agent1,V_agent2,V_msg) != c_Event_Oevent_OSays(V_agent1_H,V_agent2_H,V_msg_H)
% 31.50/31.50 | V_agent1 = V_agent1_H ) ).
% 31.50/31.50
% 31.50/31.50 cnf(cls_event_Osimps_I1_J_1,axiom,
% 31.50/31.50 ( c_Event_Oevent_OSays(V_agent1,V_agent2,V_msg) != c_Event_Oevent_OSays(V_agent1_H,V_agent2_H,V_msg_H)
% 31.50/31.50 | V_agent2 = V_agent2_H ) ).
% 31.50/31.50
% 31.50/31.50 cnf(cls_event_Osimps_I1_J_2,axiom,
% 31.50/31.50 ( c_Event_Oevent_OSays(V_agent1,V_agent2,V_msg) != c_Event_Oevent_OSays(V_agent1_H,V_agent2_H,V_msg_H)
% 31.50/31.50 | V_msg = V_msg_H ) ).
% 31.50/31.50
% 31.50/31.50 cnf(cls_parts_OInj_0,axiom,
% 31.50/31.50 ( hBOOL(c_in(V_X,c_Message_Oparts(V_H),tc_Message_Omsg))
% 31.50/31.50 | ~ hBOOL(c_in(V_X,V_H,tc_Message_Omsg)) ) ).
% 31.50/31.50
% 31.50/31.50 cnf(cls_analz_OInj_0,axiom,
% 31.50/31.50 ( hBOOL(c_in(V_X,c_Message_Oanalz(V_H),tc_Message_Omsg))
% 31.50/31.50 | ~ hBOOL(c_in(V_X,V_H,tc_Message_Omsg)) ) ).
% 31.50/31.50
% 31.50/31.50 cnf(cls_Says__imp__parts__knows__Spy_0,axiom,
% 31.50/31.50 ( hBOOL(c_in(V_X,c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,V_evs)),tc_Message_Omsg))
% 31.50/31.50 | ~ hBOOL(c_in(c_Event_Oevent_OSays(V_A,V_B,V_X),c_List_Oset(V_evs,tc_Event_Oevent),tc_Event_Oevent)) ) ).
% 31.50/31.50
% 31.50/31.50 cnf(cls_Says__imp__spies_0,axiom,
% 31.50/31.50 ( hBOOL(c_in(V_X,c_Event_Oknows(c_Message_Oagent_OSpy,V_evs),tc_Message_Omsg))
% 31.50/31.50 | ~ hBOOL(c_in(c_Event_Oevent_OSays(V_A,V_B,V_X),c_List_Oset(V_evs,tc_Event_Oevent),tc_Event_Oevent)) ) ).
% 31.50/31.50
% 31.50/31.50 cnf(cls_Spy__in__bad_0,axiom,
% 31.50/31.50 hBOOL(c_in(c_Message_Oagent_OSpy,c_Event_Obad,tc_Message_Oagent)) ).
% 31.50/31.50
% 31.50/31.50 cnf(cls_NS3__msg__in__parts__spies_0,axiom,
% 31.50/31.50 ( hBOOL(c_in(V_X,c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,V_evs)),tc_Message_Omsg))
% 31.50/31.50 | ~ hBOOL(c_in(c_Event_Oevent_OSays(V_S,V_A,c_Message_Omsg_OCrypt(V_KA,c_Message_Omsg_OMPair(V_N,c_Message_Omsg_OMPair(V_B,c_Message_Omsg_OMPair(V_K,V_X))))),c_List_Oset(V_evs,tc_Event_Oevent),tc_Event_Oevent)) ) ).
% 31.50/31.50
% 31.50/31.50 cnf(cls_msg_Osimps_I43_J_0,axiom,
% 31.50/31.50 c_Message_Omsg_OCrypt(V_nat_H,V_msg_H) != hAPP(c_Message_Omsg_OKey,V_nat) ).
% 31.50/31.50
% 31.50/31.50 cnf(cls_parts__idem_0,axiom,
% 31.50/31.50 c_Message_Oparts(c_Message_Oparts(V_H)) = c_Message_Oparts(V_H) ).
% 31.50/31.50
% 31.50/31.50 cnf(cls_msg_Osimps_I30_J_0,axiom,
% 31.50/31.50 c_Message_Omsg_ONonce(V_nat) != hAPP(c_Message_Omsg_OKey,V_nat_H) ).
% 31.50/31.50
% 31.50/31.50 cnf(cls_analz__parts_0,axiom,
% 31.50/31.50 c_Message_Oanalz(c_Message_Oparts(V_H)) = c_Message_Oparts(V_H) ).
% 31.50/31.50
% 31.50/31.50 cnf(cls_msg_Osimps_I17_J_0,axiom,
% 31.50/31.50 c_Message_Omsg_OMPair(V_msg1_H,V_msg2_H) != c_Message_Omsg_OAgent(V_agent) ).
% 31.50/31.50
% 31.50/31.50 cnf(cls_msg_Osimps_I11_J_0,axiom,
% 31.50/31.50 c_Message_Omsg_ONonce(V_nat_H) != c_Message_Omsg_OAgent(V_agent) ).
% 31.50/31.50
% 31.50/31.50 cnf(cls_parts_OBody_0,axiom,
% 31.50/31.50 ( hBOOL(c_in(V_X,c_Message_Oparts(V_H),tc_Message_Omsg))
% 31.50/31.50 | ~ hBOOL(c_in(c_Message_Omsg_OCrypt(V_K,V_X),c_Message_Oparts(V_H),tc_Message_Omsg)) ) ).
% 31.50/31.50
% 31.50/31.50 cnf(cls_analz__shrK__Decrypt_0,axiom,
% 31.50/31.50 ( hBOOL(c_in(V_X,c_Message_Oanalz(V_H),tc_Message_Omsg))
% 31.50/31.50 | ~ hBOOL(c_in(hAPP(c_Message_Omsg_OKey,hAPP(c_Public_OshrK,V_A)),c_Message_Oanalz(V_H),tc_Message_Omsg))
% 31.50/31.50 | ~ hBOOL(c_in(c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,V_A),V_X),c_Message_Oanalz(V_H),tc_Message_Omsg)) ) ).
% 31.50/31.50
% 31.50/31.50 cnf(cls_Spy__see__shrK_1,axiom,
% 31.50/31.50 ( hBOOL(c_in(hAPP(c_Message_Omsg_OKey,hAPP(c_Public_OshrK,V_A)),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,V_evs)),tc_Message_Omsg))
% 31.50/31.50 | ~ hBOOL(c_in(V_A,c_Event_Obad,tc_Message_Oagent))
% 31.50/31.50 | ~ hBOOL(c_in(V_evs,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))) ) ).
% 31.50/31.50
% 31.50/31.50 cnf(cls_Spy__see__shrK_0,axiom,
% 31.50/31.50 ( hBOOL(c_in(V_A,c_Event_Obad,tc_Message_Oagent))
% 31.50/31.50 | ~ hBOOL(c_in(hAPP(c_Message_Omsg_OKey,hAPP(c_Public_OshrK,V_A)),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,V_evs)),tc_Message_Omsg))
% 31.50/31.50 | ~ hBOOL(c_in(V_evs,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))) ) ).
% 31.50/31.50
% 31.50/31.50 cnf(cls_Says__imp__analz__Spy_0,axiom,
% 31.50/31.50 ( hBOOL(c_in(V_X,c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,V_evs)),tc_Message_Omsg))
% 31.50/31.50 | ~ hBOOL(c_in(c_Event_Oevent_OSays(V_A,V_B,V_X),c_List_Oset(V_evs,tc_Event_Oevent),tc_Event_Oevent)) ) ).
% 31.50/31.50
% 31.50/31.50 cnf(cls_parts__partsD_0,axiom,
% 31.50/31.50 ( hBOOL(c_in(V_X,c_Message_Oparts(V_H),tc_Message_Omsg))
% 31.50/31.50 | ~ hBOOL(c_in(V_X,c_Message_Oparts(c_Message_Oparts(V_H)),tc_Message_Omsg)) ) ).
% 31.50/31.50
% 31.50/31.50 cnf(cls_cert__A__form_1,axiom,
% 31.50/31.50 ( 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)))
% 31.50/31.50 | ~ hBOOL(c_in(V_evs,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent)))
% 31.50/31.50 | hBOOL(c_in(V_A,c_Event_Obad,tc_Message_Oagent))
% 31.50/31.50 | ~ hBOOL(c_in(c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,V_A),c_Message_Omsg_OMPair(V_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(V_B),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,V_K),V_X)))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,V_evs)),tc_Message_Omsg)) ) ).
% 31.50/31.50
% 31.50/31.50 cnf(cls_msg_Osimps_I4_J_0,axiom,
% 31.50/31.50 ( hAPP(c_Message_Omsg_OKey,V_nat) != hAPP(c_Message_Omsg_OKey,V_nat_H)
% 31.50/31.50 | V_nat = V_nat_H ) ).
% 31.50/31.50
% 31.50/31.50 cnf(cls_msg_Osimps_I16_J_0,axiom,
% 31.50/31.50 c_Message_Omsg_OAgent(V_agent) != c_Message_Omsg_OMPair(V_msg1_H,V_msg2_H) ).
% 31.50/31.50
% 31.50/31.50 cnf(cls_Spy__spies__bad__shrK_0,axiom,
% 31.50/31.50 ( hBOOL(c_in(hAPP(c_Message_Omsg_OKey,hAPP(c_Public_OshrK,V_A)),c_Event_Oknows(c_Message_Oagent_OSpy,V_evs),tc_Message_Omsg))
% 31.50/31.50 | ~ hBOOL(c_in(V_A,c_Event_Obad,tc_Message_Oagent)) ) ).
% 31.50/31.50
% 31.50/31.50 cnf(cls_msg_Osimps_I18_J_0,axiom,
% 31.50/31.50 c_Message_Omsg_OAgent(V_agent) != c_Message_Omsg_OCrypt(V_nat_H,V_msg_H) ).
% 31.50/31.50
% 31.50/31.50 cnf(cls_msg_Osimps_I34_J_0,axiom,
% 31.50/31.50 c_Message_Omsg_ONonce(V_nat) != c_Message_Omsg_OMPair(V_msg1_H,V_msg2_H) ).
% 31.50/31.50
% 31.50/31.50 cnf(cls_msg_Osimps_I48_J_0,axiom,
% 31.50/31.50 c_Message_Omsg_OMPair(V_msg1,V_msg2) != c_Message_Omsg_OCrypt(V_nat_H,V_msg_H) ).
% 31.50/31.50
% 31.50/31.50 cnf(cls_msg_Osimps_I19_J_0,axiom,
% 31.50/31.50 c_Message_Omsg_OCrypt(V_nat_H,V_msg_H) != c_Message_Omsg_OAgent(V_agent) ).
% 31.50/31.50
% 31.50/31.50 cnf(cls_shrK__in__knows_0,axiom,
% 31.50/31.50 hBOOL(c_in(hAPP(c_Message_Omsg_OKey,hAPP(c_Public_OshrK,V_A)),c_Event_Oknows(V_A,V_evs),tc_Message_Omsg)) ).
% 31.50/31.50
% 31.50/31.50 cnf(cls_msg_Osimps_I13_J_0,axiom,
% 31.50/31.50 hAPP(c_Message_Omsg_OKey,V_nat_H) != c_Message_Omsg_OAgent(V_agent) ).
% 31.50/31.50
% 31.50/31.50 cnf(cls_Spy__analz__shrK_0,axiom,
% 31.50/31.50 ( hBOOL(c_in(V_A,c_Event_Obad,tc_Message_Oagent))
% 31.50/31.50 | ~ hBOOL(c_in(hAPP(c_Message_Omsg_OKey,hAPP(c_Public_OshrK,V_A)),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,V_evs)),tc_Message_Omsg))
% 31.50/31.50 | ~ hBOOL(c_in(V_evs,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))) ) ).
% 31.50/31.50
% 31.50/31.50 cnf(cls_Spy__analz__shrK_1,axiom,
% 31.50/31.50 ( hBOOL(c_in(hAPP(c_Message_Omsg_OKey,hAPP(c_Public_OshrK,V_A)),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,V_evs)),tc_Message_Omsg))
% 31.50/31.50 | ~ hBOOL(c_in(V_A,c_Event_Obad,tc_Message_Oagent))
% 31.50/31.50 | ~ hBOOL(c_in(V_evs,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))) ) ).
% 31.50/31.50
% 31.50/31.50 cnf(cls_analz__analzD_0,axiom,
% 31.50/31.50 ( hBOOL(c_in(V_X,c_Message_Oanalz(V_H),tc_Message_Omsg))
% 31.50/31.50 | ~ hBOOL(c_in(V_X,c_Message_Oanalz(c_Message_Oanalz(V_H)),tc_Message_Omsg)) ) ).
% 31.50/31.50
% 31.50/31.50 cnf(cls_msg_Osimps_I3_J_0,axiom,
% 31.50/31.50 ( c_Message_Omsg_ONonce(V_nat) != c_Message_Omsg_ONonce(V_nat_H)
% 31.50/31.50 | V_nat = V_nat_H ) ).
% 31.50/31.50
% 31.50/31.50 cnf(cls_mem__def_1,axiom,
% 31.50/31.50 ( hBOOL(c_in(V_x,V_S,T_a))
% 31.50/31.50 | ~ hBOOL(hAPP(V_S,V_x)) ) ).
% 31.50/31.50
% 31.50/31.50 cnf(cls_mem__def_0,axiom,
% 31.50/31.50 ( hBOOL(hAPP(V_S,V_x))
% 31.50/31.50 | ~ hBOOL(c_in(V_x,V_S,T_a)) ) ).
% 31.50/31.50
% 31.50/31.50 cnf(cls_msg_Osimps_I36_J_0,axiom,
% 31.50/31.50 c_Message_Omsg_ONonce(V_nat) != c_Message_Omsg_OCrypt(V_nat_H,V_msg_H) ).
% 31.50/31.50
% 31.50/31.50 cnf(cls_msg_Osimps_I7_J_0,axiom,
% 31.50/31.50 ( c_Message_Omsg_OCrypt(V_nat,V_msg) != c_Message_Omsg_OCrypt(V_nat_H,V_msg_H)
% 31.50/31.50 | V_nat = V_nat_H ) ).
% 31.50/31.50
% 31.50/31.50 cnf(cls_msg_Osimps_I7_J_1,axiom,
% 31.50/31.50 ( c_Message_Omsg_OCrypt(V_nat,V_msg) != c_Message_Omsg_OCrypt(V_nat_H,V_msg_H)
% 31.50/31.50 | V_msg = V_msg_H ) ).
% 31.50/31.50
% 31.50/31.50 cnf(cls_Says__S__message__form_1,axiom,
% 31.50/31.50 ( hBOOL(c_in(V_X,c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,V_evs)),tc_Message_Omsg))
% 31.50/31.50 | 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)))
% 31.50/31.50 | ~ hBOOL(c_in(V_evs,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent)))
% 31.50/31.50 | ~ hBOOL(c_in(c_Event_Oevent_OSays(V_S,V_A,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,V_A),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(V_NA),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(V_B),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,V_K),V_X))))),c_List_Oset(V_evs,tc_Event_Oevent),tc_Event_Oevent)) ) ).
% 31.50/31.50
% 31.50/31.50 cnf(cls_msg_Osimps_I10_J_0,axiom,
% 31.50/31.50 c_Message_Omsg_OAgent(V_agent) != c_Message_Omsg_ONonce(V_nat_H) ).
% 31.50/31.50
% 31.50/31.50 cnf(cls_msg_Osimps_I6_J_0,axiom,
% 31.50/31.50 ( c_Message_Omsg_OMPair(V_msg1,V_msg2) != c_Message_Omsg_OMPair(V_msg1_H,V_msg2_H)
% 31.50/31.50 | V_msg1 = V_msg1_H ) ).
% 31.50/31.50
% 31.50/31.50 cnf(cls_msg_Osimps_I6_J_1,axiom,
% 31.50/31.50 ( c_Message_Omsg_OMPair(V_msg1,V_msg2) != c_Message_Omsg_OMPair(V_msg1_H,V_msg2_H)
% 31.50/31.50 | V_msg2 = V_msg2_H ) ).
% 31.50/31.50
% 31.50/31.50 cnf(cls_Crypt__Spy__analz__bad_0,axiom,
% 31.50/31.50 ( hBOOL(c_in(V_X,c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,V_evs)),tc_Message_Omsg))
% 31.50/31.50 | ~ hBOOL(c_in(V_A,c_Event_Obad,tc_Message_Oagent))
% 31.50/31.50 | ~ hBOOL(c_in(c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,V_A),V_X),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,V_evs)),tc_Message_Omsg)) ) ).
% 31.50/31.50
% 31.50/31.50 cnf(cls_msg_Osimps_I35_J_0,axiom,
% 31.50/31.50 c_Message_Omsg_OMPair(V_msg1_H,V_msg2_H) != c_Message_Omsg_ONonce(V_nat) ).
% 31.50/31.50
% 31.50/31.50 cnf(cls_msg_Osimps_I49_J_0,axiom,
% 31.50/31.50 c_Message_Omsg_OCrypt(V_nat_H,V_msg_H) != c_Message_Omsg_OMPair(V_msg1,V_msg2) ).
% 31.50/31.50
% 31.50/31.50 cnf(cls_msg_Osimps_I40_J_0,axiom,
% 31.50/31.50 hAPP(c_Message_Omsg_OKey,V_nat) != c_Message_Omsg_OMPair(V_msg1_H,V_msg2_H) ).
% 31.50/31.50
% 31.50/31.50 cnf(cls_msg_Osimps_I41_J_0,axiom,
% 31.50/31.50 c_Message_Omsg_OMPair(V_msg1_H,V_msg2_H) != hAPP(c_Message_Omsg_OKey,V_nat) ).
% 31.50/31.50
% 31.50/31.50 cnf(cls_msg_Osimps_I42_J_0,axiom,
% 31.50/31.50 hAPP(c_Message_Omsg_OKey,V_nat) != c_Message_Omsg_OCrypt(V_nat_H,V_msg_H) ).
% 31.50/31.50
% 31.50/31.50 cnf(cls_shrK__injective_0,axiom,
% 31.50/31.50 ( hAPP(c_Public_OshrK,V_x) != hAPP(c_Public_OshrK,V_y)
% 31.50/31.50 | V_x = V_y ) ).
% 31.50/31.50
% 31.50/31.50 cnf(cls_not__parts__not__analz_0,axiom,
% 31.50/31.50 ( ~ hBOOL(c_in(V_c,c_Message_Oanalz(V_H),tc_Message_Omsg))
% 31.50/31.50 | hBOOL(c_in(V_c,c_Message_Oparts(V_H),tc_Message_Omsg)) ) ).
% 31.50/31.50
% 31.50/31.50 cnf(cls_analz__into__parts_0,axiom,
% 31.50/31.50 ( hBOOL(c_in(V_c,c_Message_Oparts(V_H),tc_Message_Omsg))
% 31.50/31.50 | ~ hBOOL(c_in(V_c,c_Message_Oanalz(V_H),tc_Message_Omsg)) ) ).
% 31.50/31.50
% 31.50/31.50 cnf(cls_analz__conj__parts_0,axiom,
% 31.50/31.50 ( hBOOL(c_in(V_X,c_Message_Oparts(V_H),tc_Message_Omsg))
% 31.50/31.50 | ~ hBOOL(c_in(V_X,c_Message_Oanalz(V_H),tc_Message_Omsg)) ) ).
% 31.50/31.50
% 31.50/31.50 cnf(cls_conjecture_0,negated_conjecture,
% 31.50/31.50 hBOOL(c_in(c_Message_Omsg_OCrypt(v_K,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),c_Message_Omsg_ONonce(v_NB))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs)),tc_Message_Omsg)) ).
% 31.50/31.50
% 31.50/31.50 cnf(cls_conjecture_1,negated_conjecture,
% 31.50/31.50 hBOOL(c_in(c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,v_A),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NA),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_B),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,v_K),v_X)))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs)),tc_Message_Omsg)) ).
% 31.50/31.50
% 31.50/31.50 cnf(cls_conjecture_2,negated_conjecture,
% 31.50/31.50 ~ hBOOL(c_in(hAPP(c_Message_Omsg_OKey,v_K),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs)),tc_Message_Omsg)) ).
% 31.50/31.50
% 31.50/31.50 cnf(cls_conjecture_3,negated_conjecture,
% 31.50/31.50 ~ hBOOL(c_in(v_A,c_Event_Obad,tc_Message_Oagent)) ).
% 31.50/31.50
% 31.50/31.50 cnf(cls_conjecture_4,negated_conjecture,
% 31.50/31.50 ~ hBOOL(c_in(v_B,c_Event_Obad,tc_Message_Oagent)) ).
% 31.50/31.50
% 31.50/31.50 cnf(cls_conjecture_5,negated_conjecture,
% 31.50/31.50 hBOOL(c_in(v_evs,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))) ).
% 31.50/31.50
% 31.50/31.50 cnf(cls_conjecture_6,negated_conjecture,
% 31.50/31.50 ~ hBOOL(c_in(c_Event_Oevent_OSays(v_A,v_B,c_Message_Omsg_OCrypt(v_K,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),c_Message_Omsg_ONonce(v_NB)))),c_List_Oset(v_evs,tc_Event_Oevent),tc_Event_Oevent)) ).
% 31.50/31.50
% 31.50/31.50 cnf(clsarity_fun__Lattices_Oupper__semilattice,axiom,
% 31.50/31.50 ( class_Lattices_Oupper__semilattice(tc_fun(T_2,T_1))
% 31.50/31.50 | ~ class_Lattices_Olattice(T_1) ) ).
% 31.50/31.50
% 31.50/31.50 cnf(clsarity_fun__Lattices_Obounded__lattice,axiom,
% 31.50/31.50 ( class_Lattices_Obounded__lattice(tc_fun(T_2,T_1))
% 31.50/31.50 | ~ class_Lattices_Obounded__lattice(T_1) ) ).
% 31.50/31.50
% 31.50/31.50 cnf(clsarity_fun__Orderings_Opreorder,axiom,
% 31.50/31.50 ( class_Orderings_Opreorder(tc_fun(T_2,T_1))
% 31.50/31.50 | ~ class_Orderings_Opreorder(T_1) ) ).
% 31.50/31.50
% 31.50/31.50 cnf(clsarity_fun__Lattices_Olattice,axiom,
% 31.50/31.50 ( class_Lattices_Olattice(tc_fun(T_2,T_1))
% 31.50/31.50 | ~ class_Lattices_Olattice(T_1) ) ).
% 31.50/31.50
% 31.50/31.50 cnf(clsarity_fun__Orderings_Oorder,axiom,
% 31.50/31.50 ( class_Orderings_Oorder(tc_fun(T_2,T_1))
% 31.50/31.50 | ~ class_Orderings_Oorder(T_1) ) ).
% 31.50/31.50
% 31.50/31.50 cnf(clsarity_fun__Orderings_Otop,axiom,
% 31.50/31.50 ( class_Orderings_Otop(tc_fun(T_2,T_1))
% 31.50/31.50 | ~ class_Orderings_Otop(T_1) ) ).
% 31.50/31.50
% 31.50/31.50 cnf(clsarity_fun__Orderings_Obot,axiom,
% 31.50/31.50 ( class_Orderings_Obot(tc_fun(T_2,T_1))
% 31.50/31.50 | ~ class_Orderings_Obot(T_1) ) ).
% 31.50/31.50
% 31.50/31.50 cnf(clsarity_fun__HOL_Oord,axiom,
% 31.50/31.50 ( class_HOL_Oord(tc_fun(T_2,T_1))
% 31.50/31.50 | ~ class_HOL_Oord(T_1) ) ).
% 31.50/31.50
% 31.50/31.50 cnf(clsarity_nat__Lattices_Oupper__semilattice,axiom,
% 31.50/31.50 class_Lattices_Oupper__semilattice(tc_nat) ).
% 31.50/31.50
% 31.50/31.50 cnf(clsarity_nat__Orderings_Opreorder,axiom,
% 31.50/31.50 class_Orderings_Opreorder(tc_nat) ).
% 31.50/31.50
% 31.50/31.50 cnf(clsarity_nat__Orderings_Olinorder,axiom,
% 31.50/31.50 class_Orderings_Olinorder(tc_nat) ).
% 31.50/31.50
% 31.50/31.50 cnf(clsarity_nat__Lattices_Olattice,axiom,
% 31.50/31.50 class_Lattices_Olattice(tc_nat) ).
% 31.50/31.50
% 31.50/31.50 cnf(clsarity_nat__Orderings_Oorder,axiom,
% 31.50/31.50 class_Orderings_Oorder(tc_nat) ).
% 31.50/31.50
% 31.50/31.50 cnf(clsarity_nat__Orderings_Obot,axiom,
% 31.50/31.50 class_Orderings_Obot(tc_nat) ).
% 31.50/31.50
% 31.50/31.50 cnf(clsarity_nat__HOL_Oord,axiom,
% 31.50/31.50 class_HOL_Oord(tc_nat) ).
% 31.50/31.50
% 31.50/31.50 cnf(clsarity_bool__Lattices_Oupper__semilattice,axiom,
% 31.50/31.50 class_Lattices_Oupper__semilattice(tc_bool) ).
% 31.50/31.50
% 31.50/31.50 cnf(clsarity_bool__Lattices_Obounded__lattice,axiom,
% 31.50/31.50 class_Lattices_Obounded__lattice(tc_bool) ).
% 31.50/31.50
% 31.50/31.50 cnf(clsarity_bool__Orderings_Opreorder,axiom,
% 31.50/31.50 class_Orderings_Opreorder(tc_bool) ).
% 31.50/31.50
% 31.50/31.50 cnf(clsarity_bool__Lattices_Olattice,axiom,
% 31.50/31.50 class_Lattices_Olattice(tc_bool) ).
% 31.50/31.50
% 31.50/31.50 cnf(clsarity_bool__Orderings_Oorder,axiom,
% 31.50/31.50 class_Orderings_Oorder(tc_bool) ).
% 31.50/31.50
% 31.50/31.50 cnf(clsarity_bool__Orderings_Otop,axiom,
% 31.50/31.50 class_Orderings_Otop(tc_bool) ).
% 31.50/31.50
% 31.50/31.50 cnf(clsarity_bool__Orderings_Obot,axiom,
% 31.50/31.50 class_Orderings_Obot(tc_bool) ).
% 31.50/31.50
% 31.50/31.50 cnf(clsarity_bool__HOL_Oord,axiom,
% 31.50/31.50 class_HOL_Oord(tc_bool) ).
% 31.50/31.50
% 31.50/31.50 cnf(cls_ATP__Linkup_Oequal__imp__fequal_0,axiom,
% 31.50/31.50 c_fequal(V_x,V_x,T_a) ).
% 31.50/31.50
% 31.50/31.50 cnf(cls_ATP__Linkup_Ofequal__imp__equal_0,axiom,
% 31.50/31.50 ( V_X = V_Y
% 31.50/31.50 | ~ c_fequal(V_X,V_Y,T_a) ) ).
% 31.50/31.50
% 31.50/31.50 %------------------------------------------------------------------------------
% 31.50/31.50 %-------------------------------------------
% 31.50/31.50 % Proof found
% 31.50/31.50 % SZS status Theorem for theBenchmark
% 31.50/31.50 % SZS output start Proof
% 31.50/31.50 %ClaNum:725(EqnAxiom:107)
% 31.50/31.50 %VarNum:3000(SingletonVarNum:1485)
% 31.50/31.50 %MaxLitNum:7
% 31.50/31.50 %MaxfuncDepth:10
% 31.50/31.50 %SharedTerms:133
% 31.50/31.50 %goalClause: 155 229 284 350 351 360 366
% 31.50/31.50 %singleGoalClaCount:7
% 31.50/31.50 [108]P1(a1)
% 31.50/31.50 [109]P7(a1)
% 31.50/31.50 [110]P7(a47)
% 31.50/31.50 [111]P8(a1)
% 31.50/31.50 [112]P8(a47)
% 31.50/31.50 [113]P9(a1)
% 31.50/31.50 [114]P9(a47)
% 31.50/31.50 [115]P2(a1)
% 31.50/31.50 [116]P2(a47)
% 31.50/31.50 [117]P10(a1)
% 31.50/31.50 [118]P10(a47)
% 31.50/31.50 [119]P12(a1)
% 31.50/31.50 [120]P13(a1)
% 31.50/31.50 [121]P13(a47)
% 31.50/31.50 [122]P11(a47)
% 31.50/31.50 [290]~E(a38,a37)
% 31.50/31.50 [292]~E(a17,a16)
% 31.50/31.50 [154]P14(f39(a16,a8,a46))
% 31.50/31.50 [349]~P14(f39(a17,a8,a46))
% 31.50/31.50 [350]~P14(f39(a52,a8,a46))
% 31.50/31.50 [351]~P14(f39(a53,a8,a46))
% 31.50/31.50 [128]P14(f30(f4(a29)))
% 31.50/31.50 [134]E(f39(a49,a31,f44(a29)),f30(a49))
% 31.50/31.50 [155]P14(f39(a50,a31,f44(a29)))
% 31.50/31.50 [156]P14(f39(f4(a29),a31,f44(a29)))
% 31.50/31.50 [287]E(f6(f6(f6(f40(f32(a24,f32(a18,f32(f36(a37),a17))),f40(f32(a24,f32(a18,f32(f36(a38),a17))),f33(f48(a45,a1)),a45),a45),f41(a24,f41(f36(a37),f35(f48(a46,a1)),a46,a47),a47,a45),f48(a45,a1)),f41(a24,f41(f36(a38),f35(f48(a46,a1)),a46,a47),a47,a45),f48(a45,a1)),f41(a24,f41(a34,f35(f48(a46,a1)),a46,a47),a47,a45),f48(a45,a1)),f9(a17,f4(a29)))
% 31.50/31.50 [288]E(f6(f6(f6(f6(f41(a24,f41(a18,f41(f36(a37),a8,a46,a47),a47,a47),a47,a45),f41(a24,f41(a18,f41(f36(a38),a8,a46,a47),a47,a47),a47,a45),f48(a45,a1)),f41(a24,f41(a34,a8,a46,a47),a47,a45),f48(a45,a1)),f41(a24,f41(f36(a37),f35(f48(a46,a1)),a46,a47),a47,a45),f48(a45,a1)),f41(a24,f41(f36(a38),f35(f48(a46,a1)),a46,a47),a47,a45),f48(a45,a1)),f9(a16,f4(a29)))
% 31.50/31.50 [366]~P14(f39(f12(a52,a53,f22(a51,f25(f23(a54),f23(a54)))),f15(a50,a29),a29))
% 31.50/31.50 [142]E(f2(f33(f48(a45,a1))),f33(f48(a45,a1)))
% 31.50/31.50 [143]E(f3(f33(f48(a45,a1))),f33(f48(a45,a1)))
% 31.50/31.50 [171]E(f39(a49,f33(f48(a43,a1)),a43),f32(f33(f48(a43,a1)),a49))
% 31.50/31.50 [229]P14(f39(f22(a51,f25(f23(a54),f23(a54))),f2(f9(a16,a50)),a45))
% 31.50/31.50 [284]P14(f39(f22(f32(a34,a52),f25(f23(a55),f25(f21(a53),f25(f32(a24,a51),a56)))),f2(f9(a16,a50)),a45))
% 31.50/31.50 [360]~P14(f39(f32(a24,a51),f3(f9(a16,a50)),a45))
% 31.50/31.50 [147]P6(x1471,f2(x1471),f48(a45,a1))
% 31.50/31.50 [148]P6(x1481,f3(x1481),f48(a45,a1))
% 31.50/31.50 [149]P6(x1491,f26(x1491),f48(a45,a1))
% 31.50/31.50 [150]P6(f3(x1501),f2(x1501),f48(a45,a1))
% 31.50/31.50 [123]E(f2(f2(x1231)),f2(x1231))
% 31.50/31.50 [124]E(f2(f3(x1241)),f2(x1241))
% 31.50/31.50 [125]E(f3(f2(x1251)),f2(x1251))
% 31.50/31.50 [126]E(f3(f3(x1261)),f3(x1261))
% 31.50/31.50 [127]E(f26(f26(x1271)),f26(x1271))
% 31.50/31.50 [129]E(f32(a18,f32(a18,x1291)),x1291)
% 31.50/31.50 [130]E(f15(f4(x1301),x1301),f33(f48(x1301,a1)))
% 31.50/31.50 [131]E(f33(f48(x1311,a1)),f15(f4(x1311),x1311))
% 31.50/31.50 [132]E(f32(a18,f32(a34,x1321)),f32(a34,x1321))
% 31.50/31.50 [151]P6(f7(f4(a29)),f7(x1511),f48(a45,a1))
% 31.50/31.50 [152]E(f6(f2(x1521),f26(x1521),f48(a45,a1)),f2(f26(x1521)))
% 31.50/31.50 [153]E(f6(f3(x1531),f26(x1531),f48(a45,a1)),f3(f26(x1531)))
% 31.50/31.50 [166]P6(f2(f9(a16,x1661)),f7(x1661),f48(a45,a1))
% 31.50/31.50 [169]P14(f39(f32(a34,x1691),a27,a47))
% 31.50/31.50 [267]E(f2(f41(a24,x2671,a47,a45)),f41(a24,x2671,a47,a45))
% 31.50/31.50 [268]E(f3(f41(a24,x2681,a47,a45)),f41(a24,x2681,a47,a45))
% 31.50/31.50 [327]~E(f35(f48(x3271,a1)),f33(f48(x3271,a1)))
% 31.50/31.50 [354]~P14(f39(f23(f42(x3541)),f7(x3541),a45))
% 31.50/31.50 [353]~P14(f39(f23(x3531),f7(f4(a29)),a45))
% 31.50/31.50 [364]~P14(f39(x3641,f2(f33(f48(a45,a1))),a45))
% 31.50/31.50 [133]P3(x1331,x1331,x1332)
% 31.50/31.50 [145]P6(x1451,x1451,f48(x1452,a1))
% 31.50/31.50 [294]~E(f21(x2941),f19(x2942))
% 31.50/31.50 [297]~E(f23(x2971),f19(x2972))
% 31.50/31.50 [298]~E(f23(x2981),f21(x2982))
% 31.50/31.50 [299]~E(f19(x2991),f32(a24,x2992))
% 31.50/31.50 [300]~E(f21(x3001),f32(a24,x3002))
% 31.50/31.50 [301]~E(f23(x3011),f32(a24,x3012))
% 31.50/31.50 [302]~E(f32(a24,x3021),f19(x3022))
% 31.50/31.50 [303]~E(f32(a24,x3031),f21(x3032))
% 31.50/31.50 [304]~E(f32(a24,x3041),f23(x3042))
% 31.50/31.50 [138]E(f5(x1381,f4(x1382),x1382),x1381)
% 31.50/31.50 [139]E(f5(f4(x1391),x1392,x1391),x1392)
% 31.50/31.50 [146]E(f6(x1461,x1461,f48(x1462,a1)),x1461)
% 31.50/31.50 [160]P6(x1601,f35(f48(x1602,a1)),f48(x1602,a1))
% 31.50/31.50 [161]P6(f33(f48(x1611,a1)),x1612,f48(x1611,a1))
% 31.50/31.50 [162]E(f6(x1621,f33(f48(x1622,a1)),f48(x1622,a1)),x1621)
% 31.50/31.50 [163]E(f6(f33(f48(x1631,a1)),x1632,f48(x1631,a1)),x1632)
% 31.50/31.50 [165]P14(f39(f21(x1651),f26(x1652),a45))
% 31.50/31.50 [167]P6(f9(x1671,f4(a29)),f9(x1671,x1672),f48(a45,a1))
% 31.50/31.50 [172]E(f6(x1721,f35(f48(x1722,a1)),f48(x1722,a1)),f35(f48(x1722,a1)))
% 31.50/31.51 [173]E(f6(f35(f48(x1731,a1)),x1732,f48(x1731,a1)),f35(f48(x1731,a1)))
% 31.50/31.51 [201]P14(f39(f32(a24,f32(a34,x2011)),f7(x2012),a45))
% 31.50/31.51 [202]P14(f39(f32(a24,f32(a34,x2021)),f9(x2021,x2022),a45))
% 31.50/31.51 [233]P6(f40(x2331,f2(x2332),a45),f2(f40(x2331,x2332,a45)),f48(a45,a1))
% 31.50/31.51 [234]P6(f40(x2341,f3(x2342),a45),f3(f40(x2341,x2342,a45)),f48(a45,a1))
% 31.50/31.51 [235]P6(f40(x2351,f26(x2352),a45),f26(f40(x2351,x2352,a45)),f48(a45,a1))
% 31.50/31.51 [262]E(f6(f2(f40(x2621,f33(f48(a45,a1)),a45)),f2(x2622),f48(a45,a1)),f2(f40(x2621,x2622,a45)))
% 31.50/31.51 [367]~P14(f39(f19(x3671),f41(a24,x3672,a47,a45),a45))
% 31.50/31.51 [368]~P14(f39(f23(x3681),f41(a24,x3682,a47,a45),a45))
% 31.50/31.51 [157]E(f20(f40(f19(x1571),x1572,a45)),f20(x1572))
% 31.50/31.51 [158]E(f20(f40(f21(x1581),x1582,a45)),f20(x1582))
% 31.50/31.51 [159]E(f20(f40(f23(x1591),x1592,a45)),f20(x1592))
% 31.50/31.51 [168]P14(f32(f35(f48(x1681,a1)),x1682))
% 31.50/31.51 [174]E(f20(f40(f32(a24,x1741),x1742,a45)),f20(x1742))
% 31.50/31.51 [180]E(f2(f40(f19(x1801),x1802,a45)),f40(f19(x1801),f2(x1802),a45))
% 31.50/31.51 [181]E(f2(f40(f21(x1811),x1812,a45)),f40(f21(x1811),f2(x1812),a45))
% 31.50/31.51 [182]E(f2(f40(f23(x1821),x1822,a45)),f40(f23(x1821),f2(x1822),a45))
% 31.50/31.51 [183]E(f3(f40(f19(x1831),x1832,a45)),f40(f19(x1831),f3(x1832),a45))
% 31.50/31.51 [184]E(f3(f40(f21(x1841),x1842,a45)),f40(f21(x1841),f3(x1842),a45))
% 31.50/31.51 [185]E(f3(f40(f23(x1851),x1852,a45)),f40(f23(x1851),f3(x1852),a45))
% 31.50/31.51 [188]P14(f39(x1881,f35(f48(x1882,a1)),x1882))
% 31.50/31.51 [194]E(f2(f40(f32(a24,x1941),x1942,a45)),f40(f32(a24,x1941),f2(x1942),a45))
% 31.50/31.51 [195]E(f6(f2(x1951),f2(x1952),f48(a45,a1)),f2(f6(x1951,x1952,f48(a45,a1))))
% 31.50/31.51 [205]E(f3(f6(f3(x2051),x2052,f48(a45,a1))),f3(f6(x2051,x2052,f48(a45,a1))))
% 31.50/31.51 [256]E(f6(f3(f6(x2561,x2562,f48(a45,a1))),f26(x2561),f48(a45,a1)),f3(f6(f26(x2561),x2562,f48(a45,a1))))
% 31.50/31.51 [257]P6(f2(f6(x2571,x2572,f48(a45,a1))),f6(f2(x2571),f2(x2572),f48(a45,a1)),f48(a45,a1))
% 31.50/31.51 [258]P6(f6(f2(x2581),f2(x2582),f48(a45,a1)),f2(f6(x2581,x2582,f48(a45,a1))),f48(a45,a1))
% 31.50/31.51 [259]P6(f6(f3(x2591),f3(x2592),f48(a45,a1)),f3(f6(x2591,x2592,f48(a45,a1))),f48(a45,a1))
% 31.50/31.51 [260]P6(f6(f26(x2601),f26(x2602),f48(a45,a1)),f26(f6(x2601,x2602,f48(a45,a1))),f48(a45,a1))
% 31.50/31.51 [263]P14(f39(f32(a24,f32(a18,f32(f36(x2631),x2632))),f9(x2632,f4(a29)),a45))
% 31.50/31.51 [352]~P14(f32(f33(f48(x3521,a1)),x3522))
% 31.50/31.51 [355]~P14(f39(f32(f36(x3551),x3552),a27,a47))
% 31.50/31.51 [356]~P14(f39(f22(x3561,x3562),f7(f4(a29)),a45))
% 31.50/31.51 [359]~P14(f39(x3591,f33(f48(x3592,a1)),x3592))
% 31.50/31.51 [361]~P14(f39(f23(x3611),f2(f9(x3612,f4(a29))),a45))
% 31.50/31.51 [365]~P14(f39(f32(a18,f32(f36(x3651),x3652)),a27,a47))
% 31.50/31.51 [179]P6(x1791,f40(x1792,x1791,x1793),f48(x1793,a1))
% 31.50/31.51 [305]~E(f19(x3051),f22(x3052,x3053))
% 31.50/31.51 [306]~E(f19(x3061),f25(x3062,x3063))
% 31.50/31.51 [307]~E(f21(x3071),f22(x3072,x3073))
% 31.50/31.51 [308]~E(f21(x3081),f25(x3082,x3083))
% 31.50/31.51 [309]~E(f23(x3091),f22(x3092,x3093))
% 31.50/31.51 [310]~E(f23(x3101),f25(x3102,x3103))
% 31.50/31.51 [311]~E(f22(x3111,x3112),f19(x3113))
% 31.50/31.51 [312]~E(f22(x3121,x3122),f21(x3123))
% 31.50/31.51 [313]~E(f22(x3131,x3132),f23(x3133))
% 31.50/31.51 [314]~E(f25(x3141,x3142),f19(x3143))
% 31.50/31.51 [315]~E(f25(x3151,x3152),f21(x3153))
% 31.50/31.51 [316]~E(f25(x3161,x3162),f23(x3163))
% 31.50/31.51 [317]~E(f22(x3171,x3172),f32(a24,x3173))
% 31.50/31.51 [318]~E(f25(x3181,x3182),f32(a24,x3183))
% 31.50/31.51 [319]~E(f32(a24,x3191),f22(x3192,x3193))
% 31.50/31.51 [320]~E(f32(a24,x3201),f25(x3202,x3203))
% 31.50/31.51 [329]~E(f14(x3291,x3292,x3293),x3292)
% 31.50/31.51 [333]~E(f14(x3331,x3332,x3333),f4(x3333))
% 31.50/31.51 [170]E(f6(x1701,x1702,f48(x1703,a1)),f6(x1702,x1701,f48(x1703,a1)))
% 31.50/31.51 [186]E(f40(x1861,f15(x1862,x1863),x1863),f15(f14(x1861,x1862,x1863),x1863))
% 31.50/31.51 [189]E(f40(x1891,f40(x1891,x1892,x1893),x1893),f40(x1891,x1892,x1893))
% 31.50/31.51 [192]P6(x1921,f6(x1922,x1921,f48(x1923,a1)),f48(x1923,a1))
% 31.50/31.51 [193]P6(x1931,f6(x1931,x1932,f48(x1933,a1)),f48(x1933,a1))
% 31.50/31.51 [197]P14(f32(f40(x1971,x1972,x1973),x1971))
% 31.50/31.51 [199]E(f6(f15(x1991,x1992),f15(x1993,x1992),f48(x1992,a1)),f15(f5(x1991,x1993,x1992),x1992))
% 31.50/31.51 [203]E(f6(x2031,f6(x2031,x2032,f48(x2033,a1)),f48(x2033,a1)),f6(x2031,x2032,f48(x2033,a1)))
% 31.50/31.51 [206]P14(f39(f32(a24,f32(f36(x2061),x2062)),f7(x2063),a45))
% 31.50/31.51 [218]P14(f39(x2181,f40(x2181,x2182,x2183),x2183))
% 31.50/31.51 [221]P6(f9(x2211,x2212),f9(x2211,f14(x2213,x2212,a29)),f48(a45,a1))
% 31.50/31.51 [222]E(f6(f40(x2221,f33(f48(x2222,a1)),x2222),x2223,f48(x2222,a1)),f40(x2221,x2223,x2222))
% 31.50/31.51 [223]P6(f15(x2231,x2232),f15(f14(x2233,x2231,x2232),x2232),f48(x2232,a1))
% 31.50/31.51 [224]P14(f39(f32(a24,f32(f36(x2241),x2242)),f9(a16,x2243),a45))
% 31.50/31.51 [261]P14(f39(f32(a24,f32(a18,f32(f36(x2611),x2612))),f7(x2613),a45))
% 31.50/31.51 [325]~E(f32(a34,x3251),f32(f36(x3252),x3253))
% 31.50/31.51 [326]~E(f32(f36(x3261),x3262),f32(a34,x3263))
% 31.50/31.51 [345]~E(f40(x3451,x3452,x3453),f33(f48(x3453,a1)))
% 31.50/31.51 [346]~E(f33(f48(x3461,a1)),f40(x3462,x3463,x3461))
% 31.50/31.51 [369]~P14(f39(f22(x3691,x3692),f41(a24,x3693,a47,a45),a45))
% 31.50/31.51 [371]~P14(f39(f32(f36(x3711),x3712),f41(a34,x3713,a46,a47),a47))
% 31.50/31.51 [372]~P14(f39(f32(a18,f32(f36(x3721),x3722)),f41(a34,x3723,a46,a47),a47))
% 31.50/31.51 [175]E(f7(f14(f10(x1751,x1752),x1753,a29)),f7(x1753))
% 31.50/31.51 [176]E(f20(f40(f25(x1761,x1762),x1763,a45)),f20(x1763))
% 31.50/31.51 [177]E(f9(a16,f14(f10(x1771,x1772),x1773,a29)),f9(a16,x1773))
% 31.50/31.51 [196]E(f20(f40(f22(x1961,x1962),x1963,a45)),f40(f32(a18,x1961),f20(x1963),a47))
% 31.50/31.51 [198]E(f9(x1981,f14(f11(x1981,x1982),x1983,a29)),f40(x1982,f9(x1981,x1983),a45))
% 31.50/31.51 [220]E(f41(x2201,f33(f48(x2202,a1)),x2202,x2203),f33(f48(x2203,a1)))
% 31.50/31.51 [225]P14(f39(f32(a24,f32(f36(x2251),x2252)),f9(x2253,f4(a29)),a45))
% 31.50/31.51 [241]P14(f39(f32(a24,f32(f36(x2411),x2412)),f3(f9(a16,x2413)),a45))
% 31.50/31.51 [247]E(f40(f22(x2471,x2472),f2(f40(x2472,x2473,a45)),a45),f2(f40(f22(x2471,x2472),x2473,a45)))
% 31.50/31.51 [264]E(f7(f14(f11(x2641,x2642),x2643,a29)),f6(f2(f40(x2642,f33(f48(a45,a1)),a45)),f7(x2643),f48(a45,a1)))
% 31.50/31.51 [277]P6(f3(f40(f22(x2771,x2772),x2773,a45)),f40(f22(x2771,x2772),f3(f40(x2772,x2773,a45)),a45),f48(a45,a1))
% 31.50/31.51 [285]E(f40(f32(a24,x2851),f6(f41(a24,x2852,a47,a45),x2853,f48(a45,a1)),a45),f6(f41(a24,f40(x2851,x2852,a47),a47,a45),x2853,f48(a45,a1)))
% 31.50/31.51 [286]E(f6(f6(f2(f40(x2861,f33(f48(a45,a1)),a45)),f2(f40(x2862,f33(f48(a45,a1)),a45)),f48(a45,a1)),f2(x2863),f48(a45,a1)),f2(f40(x2861,f40(x2862,x2863,a45),a45)))
% 31.50/31.51 [334]~E(f32(a34,x3341),f32(a18,f32(f36(x3342),x3343)))
% 31.50/31.51 [335]~E(f32(a18,f32(f36(x3351),x3352)),f32(a34,x3353))
% 31.50/31.51 [370]~P14(f39(f32(a34,x3701),f41(f36(x3702),x3703,a46,a47),a47))
% 31.50/31.51 [246]E(f9(a16,f5(x2461,f14(f10(x2462,x2463),f4(a29),a29),a29)),f9(a16,x2461))
% 31.50/31.51 [273]E(f40(f25(x2731,x2732),f2(f40(x2731,f40(x2732,x2733,a45),a45)),a45),f2(f40(f25(x2731,x2732),x2733,a45)))
% 31.50/31.51 [274]E(f40(f25(x2741,x2742),f3(f40(x2741,f40(x2742,x2743,a45),a45)),a45),f3(f40(f25(x2741,x2742),x2743,a45)))
% 31.50/31.51 [363]~P14(f39(f22(x3631,x3632),f2(f9(x3633,f4(a29))),a45))
% 31.50/31.51 [374]~P14(f39(f32(a34,x3741),f41(a18,f41(f36(x3742),x3743,a46,a47),a47,a47),a47))
% 31.50/31.51 [278]E(f40(f25(f19(f25(x2781,x2782)),x2782),f40(f19(f25(x2781,x2782)),f2(f40(x2782,x2783,a45)),a45),a45),f2(f40(f25(f19(f25(x2781,x2782)),x2782),x2783,a45)))
% 31.50/31.51 [279]E(f40(f25(f19(f25(x2791,x2792)),x2792),f40(f19(f25(x2791,x2792)),f3(f40(x2792,x2793,a45)),a45),a45),f3(f40(f25(f19(f25(x2791,x2792)),x2792),x2793,a45)))
% 31.50/31.51 [322]~E(f25(x3221,x3222),f22(x3223,x3224))
% 31.50/31.51 [324]~E(f10(x3241,x3242),f11(x3243,x3244))
% 31.50/31.51 [207]E(f40(x2071,f40(x2072,x2073,x2074),x2074),f40(x2072,f40(x2071,x2073,x2074),x2074))
% 31.50/31.51 [213]E(f14(x2131,f5(x2132,x2133,x2134),x2134),f5(f14(x2131,x2132,x2134),x2133,x2134))
% 31.50/31.51 [215]E(f5(f5(x2151,x2152,x2153),x2154,x2153),f5(x2151,f5(x2152,x2154,x2153),x2153))
% 31.50/31.51 [248]E(f6(x2481,f6(x2482,x2483,f48(x2484,a1)),f48(x2484,a1)),f6(x2482,f6(x2481,x2483,f48(x2484,a1)),f48(x2484,a1)))
% 31.50/31.51 [250]E(f6(f6(x2501,x2502,f48(x2503,a1)),x2504,f48(x2503,a1)),f6(x2501,f6(x2502,x2504,f48(x2503,a1)),f48(x2503,a1)))
% 31.50/31.51 [226]E(f40(x2261,f6(x2262,x2263,f48(x2264,a1)),x2264),f6(x2262,f40(x2261,x2263,x2264),f48(x2264,a1)))
% 31.50/31.51 [227]E(f40(x2271,f6(x2272,x2273,f48(x2274,a1)),x2274),f6(f40(x2271,x2272,x2274),x2273,f48(x2274,a1)))
% 31.50/31.51 [236]E(f9(a16,f14(f12(x2361,x2362,x2363),x2364,a29)),f40(x2363,f9(a16,x2364),a45))
% 31.50/31.51 [240]E(f9(x2401,f14(f12(x2401,x2402,x2403),x2404,a29)),f40(x2403,f9(x2401,x2404),a45))
% 31.50/31.51 [271]E(f7(f14(f12(x2711,x2712,x2713),x2714,a29)),f6(f2(f40(x2713,f33(f48(a45,a1)),a45)),f7(x2714),f48(a45,a1)))
% 31.50/31.51 [340]~E(f32(f36(x3401),x3402),f32(a18,f32(f36(x3403),x3404)))
% 31.50/31.51 [341]~E(f32(a18,f32(f36(x3411),x3412)),f32(f36(x3413),x3414))
% 31.50/31.51 [373]~P14(f39(f32(a18,f32(f36(x3731),x3732)),f41(f36(x3733),x3734,a46,a47),a47))
% 31.50/31.51 [272]E(f9(a16,f5(x2721,f14(f12(x2722,x2723,x2724),f4(a29),a29),a29)),f40(x2724,f9(a16,x2721),a45))
% 31.50/31.51 [280]P14(f39(f32(x2801,x2802),f41(x2801,f35(f48(x2803,a1)),x2803,x2804),x2804))
% 31.50/31.51 [281]P14(f39(x2811,f15(f5(x2812,f14(x2811,x2813,x2814),x2814),x2814),x2814))
% 31.50/31.51 [375]~P14(f39(f32(f36(x3751),x3752),f41(a18,f41(f36(x3753),x3754,a46,a47),a47,a47),a47))
% 31.50/31.51 [336]~E(f11(x3361,x3362),f12(x3363,x3364,x3365))
% 31.50/31.51 [337]~E(f10(x3371,x3372),f12(x3373,x3374,x3375))
% 31.50/31.51 [338]~E(f12(x3381,x3382,x3383),f11(x3384,x3385))
% 31.50/31.51 [339]~E(f12(x3391,x3392,x3393),f10(x3394,x3395))
% 31.50/31.51 [275]E(f41(x2751,f40(x2752,x2753,x2754),x2754,x2755),f40(f32(x2751,x2752),f41(x2751,x2753,x2754,x2755),x2755))
% 31.50/31.51 [276]E(f40(f32(x2761,x2762),f41(x2761,x2763,x2764,x2765),x2765),f41(x2761,f40(x2762,x2763,x2764),x2764,x2765))
% 31.50/31.51 [283]E(f6(f41(x2831,x2832,x2833,x2834),f41(x2831,x2835,x2833,x2834),f48(x2834,a1)),f41(x2831,f6(x2832,x2835,f48(x2833,a1)),x2833,x2834))
% 31.50/31.51 [450]E(f32(a18,x4501),x4501)+~P14(f39(x4501,a27,a47))
% 31.50/31.51 [505]~P14(f39(x5051,a27,a47))+P14(f39(f32(a18,x5051),a27,a47))
% 31.50/31.51 [520]P14(f39(x5201,a27,a47))+~P14(f39(f32(a18,x5201),a27,a47))
% 31.50/31.51 [412]~P7(x4121)+E(f32(f33(f48(a43,x4121)),a49),f33(x4121))
% 31.50/31.51 [413]~P12(x4131)+E(f32(f35(f48(a43,x4131)),a49),f35(x4131))
% 31.50/31.51 [398]~P10(x3982)+P6(x3981,x3981,x3982)
% 31.50/31.51 [399]~P13(x3992)+P6(x3991,x3991,x3992)
% 31.50/31.51 [376]E(x3761,x3762)+~E(f19(x3761),f19(x3762))
% 31.50/31.51 [377]E(x3771,x3772)+~E(f21(x3771),f21(x3772))
% 31.50/31.51 [378]E(x3781,x3782)+~E(f23(x3781),f23(x3782))
% 31.50/31.51 [379]~P1(x3792)+P1(f48(x3791,x3792))
% 31.50/31.51 [380]~P7(x3802)+P7(f48(x3801,x3802))
% 31.50/31.51 [381]~P8(x3812)+P8(f48(x3811,x3812))
% 31.50/31.51 [382]~P8(x3822)+P9(f48(x3821,x3822))
% 31.50/31.51 [383]~P2(x3832)+P2(f48(x3831,x3832))
% 31.50/31.51 [384]~P10(x3842)+P10(f48(x3841,x3842))
% 31.50/31.51 [385]~P12(x3852)+P12(f48(x3851,x3852))
% 31.50/31.51 [386]~P13(x3862)+P13(f48(x3861,x3862))
% 31.50/31.51 [387]E(x3871,x3872)+~E(f32(a24,x3871),f32(a24,x3872))
% 31.50/31.51 [388]E(x3881,x3882)+~E(f32(a18,x3881),f32(a18,x3882))
% 31.50/31.51 [389]E(x3891,x3892)+~E(f32(a34,x3891),f32(a34,x3892))
% 31.50/31.51 [400]P4(x4001,x4002)+~P14(f32(x4001,x4002))
% 31.50/31.51 [401]~P9(x4012)+E(f6(x4011,x4011,x4012),x4011)
% 31.50/31.51 [404]~P12(x4042)+P6(x4041,f35(x4042),x4042)
% 31.50/31.51 [405]~P7(x4051)+P6(f33(x4051),x4052,x4051)
% 31.50/31.51 [461]~P6(x4611,x4612,f48(a45,a1))+P6(f2(x4611),f2(x4612),f48(a45,a1))
% 31.50/31.51 [462]~P6(x4621,x4622,f48(a45,a1))+P6(f3(x4621),f3(x4622),f48(a45,a1))
% 31.50/31.51 [463]~P6(x4631,x4632,f48(a45,a1))+P6(f26(x4631),f26(x4632),f48(a45,a1))
% 31.50/31.51 [466]P6(f2(x4661),f2(x4662),f48(a45,a1))+~P6(x4661,f2(x4662),f48(a45,a1))
% 31.50/31.51 [467]P6(f3(x4671),f3(x4672),f48(a45,a1))+~P6(x4671,f3(x4672),f48(a45,a1))
% 31.50/31.51 [468]P6(f26(x4681),f26(x4682),f48(a45,a1))+~P6(x4681,f26(x4682),f48(a45,a1))
% 31.50/31.51 [469]P6(x4691,f2(x4692),f48(a45,a1))+~P6(f2(x4691),f2(x4692),f48(a45,a1))
% 31.50/31.51 [470]P6(x4701,f3(x4702),f48(a45,a1))+~P6(f3(x4701),f3(x4702),f48(a45,a1))
% 31.50/31.51 [471]P6(x4711,f26(x4712),f48(a45,a1))+~P6(f26(x4711),f26(x4712),f48(a45,a1))
% 31.50/31.51 [406]~P1(x4062)+E(f6(x4061,f33(x4062),x4062),x4061)
% 31.50/31.51 [407]~P1(x4071)+E(f6(f33(x4071),x4072,x4071),x4072)
% 31.50/31.51 [408]E(x4081,f4(x4082))+~E(f15(x4081,x4082),f33(f48(x4082,a1)))
% 31.50/31.51 [409]E(x4091,f4(x4092))+~E(f33(f48(x4092,a1)),f15(x4091,x4092))
% 31.50/31.51 [410]~P1(x4102)+E(f6(x4101,f35(x4102),x4102),f35(x4102))
% 31.50/31.51 [411]~P1(x4111)+E(f6(f35(x4111),x4112,x4111),f35(x4111))
% 31.50/31.51 [476]~P6(x4761,x4762,f48(a45,a1))+P6(f26(f3(x4761)),f26(f3(x4762)),f48(a45,a1))
% 31.50/31.51 [479]~P6(x4791,f33(f48(x4792,a1)),f48(x4792,a1))+E(x4791,f33(f48(x4792,a1)))
% 31.50/31.51 [491]~P14(f39(x4911,x4912,a45))+P14(f39(x4911,f2(x4912),a45))
% 31.50/31.51 [492]~P14(f39(x4921,x4922,a45))+P14(f39(x4921,f3(x4922),a45))
% 31.50/31.51 [493]~P14(f39(x4931,x4932,a45))+P14(f39(x4931,f26(x4932),a45))
% 31.50/31.51 [495]E(f2(f40(x4951,x4952,a45)),f2(x4952))+~P14(f39(x4951,f2(x4952),a45))
% 31.50/31.51 [496]E(f3(f40(x4961,x4962,a45)),f3(x4962))+~P14(f39(x4961,f3(x4962),a45))
% 31.50/31.51 [500]~P14(f39(x5001,f3(x5002),a45))+P14(f39(x5001,f2(x5002),a45))
% 31.50/31.51 [506]P14(f39(f19(x5061),f26(x5062),a45))+~P14(f39(x5061,f26(x5062),a45))
% 31.50/31.51 [511]~P14(f39(f23(x5111),f26(x5112),a45))+P14(f39(f23(x5111),x5112,a45))
% 31.50/31.51 [546]~P14(f39(f32(a24,x5461),f26(x5462),a45))+P14(f39(f32(a24,x5461),x5462,a45))
% 31.50/31.51 [563]~P14(f39(x5631,a8,a46))+P14(f39(f32(a24,f32(a34,x5631)),f9(a16,x5632),a45))
% 31.50/31.51 [669]P14(f39(x6691,x6692,a46))+~P14(f39(f32(a34,x6691),f41(a34,x6692,a46,a47),a47))
% 31.50/31.51 [670]P14(f39(x6701,x6702,a47))+~P14(f39(f32(a24,x6701),f41(a24,x6702,a47,a45),a45))
% 31.50/31.51 [671]P14(f39(x6711,x6712,a47))+~P14(f39(f32(a18,x6711),f41(a18,x6712,a47,a47),a47))
% 31.50/31.51 [521]P14(f39(x5211,f2(x5212),a45))+~P14(f39(x5211,f2(f2(x5212)),a45))
% 31.50/31.51 [522]P14(f39(x5221,f3(x5222),a45))+~P14(f39(x5221,f3(f3(x5222)),a45))
% 31.50/31.51 [523]P14(f39(x5231,f26(x5232),a45))+~P14(f39(x5231,f26(f26(x5232)),a45))
% 31.50/31.51 [526]E(f3(f40(f32(a24,x5261),x5262,a45)),f40(f32(a24,x5261),f3(x5262),a45))+P14(f39(x5261,f20(f3(x5262)),a47))
% 31.50/31.51 [559]P14(f39(x5591,f7(x5592),a45))+~P14(f39(x5591,f2(f9(a16,x5592)),a45))
% 31.50/31.51 [562]E(f26(f3(f40(x5621,x5622,a45))),f26(f3(x5622)))+~P14(f39(x5621,f26(f3(x5622)),a45))
% 31.50/31.51 [603]P6(f2(f40(x6031,x6032,a45)),f6(f26(f3(x6032)),f2(x6032),f48(a45,a1)),f48(a45,a1))+~P14(f39(x6031,f26(f3(x6032)),a45))
% 31.50/31.51 [608]E(f3(f40(x6081,x6082,a45)),f40(x6081,f3(x6082),a45))+P14(f39(f28(x6082,x6081),f3(f40(x6081,x6082,a45)),a45))
% 31.50/31.51 [611]E(f3(f40(x6111,x6112,a45)),f40(x6111,f3(x6112),a45))+~P14(f39(f28(x6112,x6111),f40(x6111,f3(x6112),a45),a45))
% 31.50/31.51 [598]P6(f2(f40(x5981,f33(f48(a45,a1)),a45)),f7(x5982),f48(a45,a1))+~P14(f39(x5981,f7(x5982),a45))
% 31.50/31.51 [626]P6(f2(f40(x6261,f33(f48(a45,a1)),a45)),f6(f26(f3(x6262)),f2(x6262),f48(a45,a1)),f48(a45,a1))+~P14(f39(x6261,f26(f3(x6262)),a45))
% 31.50/31.51 [675]P14(f39(f32(a24,x6751),f7(x6752),a45))+~P14(f39(x6751,f41(a34,f35(f48(a46,a1)),a46,a47),a47))
% 31.50/31.51 [416]E(x4161,x4162)+~P3(x4161,x4162,x4163)
% 31.50/31.51 [414]P4(x4141,x4142)+~P4(x4141,f25(x4143,x4142))
% 31.50/31.51 [415]P4(x4151,x4152)+~P4(x4151,f25(x4152,x4153))
% 31.50/31.51 [419]~E(f5(x4193,x4191,x4192),x4193)+E(x4191,f4(x4192))
% 31.50/31.51 [420]~E(f5(x4201,x4203,x4202),x4203)+E(x4201,f4(x4202))
% 31.50/31.51 [423]~E(f5(x4233,x4231,x4232),f4(x4232))+E(x4231,f4(x4232))
% 31.50/31.51 [424]~E(f5(x4241,x4243,x4242),f4(x4242))+E(x4241,f4(x4242))
% 31.50/31.51 [427]~P8(x4273)+E(f6(x4271,x4272,x4273),f6(x4272,x4271,x4273))
% 31.50/31.51 [428]~P9(x4283)+E(f6(x4281,x4282,x4283),f6(x4282,x4281,x4283))
% 31.50/31.51 [436]~P14(f32(x4362,x4361))+P14(f39(x4361,x4362,x4363))
% 31.50/31.51 [439]~P8(x4393)+P6(x4391,f6(x4392,x4391,x4393),x4393)
% 31.50/31.51 [440]~P9(x4403)+P6(x4401,f6(x4402,x4401,x4403),x4403)
% 31.50/31.51 [441]~P8(x4413)+P6(x4411,f6(x4411,x4412,x4413),x4413)
% 31.50/31.51 [442]~P9(x4423)+P6(x4421,f6(x4421,x4422,x4423),x4423)
% 31.50/31.51 [464]P14(f32(x4641,x4642))+~P14(f39(x4642,x4641,x4643))
% 31.50/31.51 [478]E(f40(x4781,x4782,x4783),x4782)+~P14(f39(x4781,x4782,x4783))
% 31.50/31.51 [454]E(x4541,f33(f48(x4542,a1)))+~E(f6(x4543,x4541,f48(x4542,a1)),f33(f48(x4542,a1)))
% 31.50/31.51 [455]E(x4551,f33(f48(x4552,a1)))+~E(f6(x4551,x4553,f48(x4552,a1)),f33(f48(x4552,a1)))
% 31.50/31.51 [458]~P6(x4581,x4582,f48(x4583,a1))+E(f6(x4581,x4582,f48(x4583,a1)),x4582)
% 31.50/31.51 [459]~P6(x4592,x4591,f48(x4593,a1))+E(f6(x4591,x4592,f48(x4593,a1)),x4591)
% 31.50/31.51 [460]P6(x4601,x4602,f48(x4603,a1))+~E(f6(x4601,x4602,f48(x4603,a1)),x4602)
% 31.50/31.51 [472]~P8(x4723)+E(f6(x4721,f6(x4721,x4722,x4723),x4723),f6(x4721,x4722,x4723))
% 31.50/31.51 [473]~P9(x4733)+E(f6(x4731,f6(x4731,x4732,x4733),x4733),f6(x4731,x4732,x4733))
% 31.50/31.51 [477]~E(f3(x4772),f3(x4773))+E(f3(f40(x4771,x4772,a45)),f3(f40(x4771,x4773,a45)))
% 31.50/31.51 [530]P14(f39(x5301,f2(x5302),a45))+~P14(f39(f22(x5303,x5301),f2(x5302),a45))
% 31.50/31.51 [531]P14(f39(x5311,f2(x5312),a45))+~P14(f39(f25(x5313,x5311),f2(x5312),a45))
% 31.50/31.51 [532]P14(f39(x5321,f2(x5322),a45))+~P14(f39(f25(x5321,x5323),f2(x5322),a45))
% 31.50/31.51 [533]P14(f39(x5331,f3(x5332),a45))+~P14(f39(f25(x5333,x5331),f3(x5332),a45))
% 31.50/31.51 [534]P14(f39(x5341,f3(x5342),a45))+~P14(f39(f25(x5341,x5343),f3(x5342),a45))
% 31.50/31.51 [535]P14(f39(x5351,f7(x5352),a45))+~P14(f39(f25(x5353,x5351),f7(x5352),a45))
% 31.50/31.51 [536]P14(f39(x5361,f7(x5362),a45))+~P14(f39(f25(x5361,x5363),f7(x5362),a45))
% 31.50/31.51 [548]~P14(f39(f22(x5481,x5483),x5482,a45))+P14(f39(f32(a18,x5481),f20(x5482),a47))
% 31.50/31.51 [557]P14(f39(x5571,f7(x5572),a45))+~P14(f39(f11(x5573,x5571),f15(x5572,a29),a29))
% 31.50/31.51 [571]P14(f39(x5711,f9(x5712,x5713),a45))+~P14(f39(f11(x5712,x5711),f15(x5713,a29),a29))
% 31.50/31.51 [595]P6(f2(f40(x5951,x5952,a45)),f6(f2(x5953),f2(x5952),f48(a45,a1)),f48(a45,a1))+~P14(f39(x5951,x5953,a45))
% 31.50/31.51 [609]~P14(f39(x6092,a8,a46))+P14(f39(f32(a24,f32(a18,f32(f36(x6091),x6092))),f9(a16,x6093),a45))
% 31.50/31.51 [486]E(x4861,a16)+E(f9(x4861,f14(f10(x4861,x4862),x4863,a29)),f40(x4862,f9(x4861,x4863),a45))
% 31.50/31.51 [489]~P8(x4893)+E(f6(f32(x4891,a49),f32(x4892,a49),x4893),f32(f6(x4891,x4892,f48(a43,x4893)),a49))
% 31.50/31.51 [490]P14(f39(x4901,a8,a46))+E(f9(a16,f14(f11(x4901,x4902),x4903,a29)),f9(a16,x4903))
% 31.50/31.51 [516]E(x5161,x5162)+~E(f40(x5161,f33(f48(x5163,a1)),x5163),f40(x5162,f33(f48(x5163,a1)),x5163))
% 31.50/31.51 [544]~P14(f39(x5441,a8,a46))+E(f9(a16,f14(f11(x5441,x5442),x5443,a29)),f40(x5442,f9(a16,x5443),a45))
% 31.50/31.51 [560]P14(f39(x5601,f26(f3(x5602)),a45))+~P14(f39(f25(x5603,x5601),f26(f3(x5602)),a45))
% 31.50/31.51 [561]P14(f39(x5611,f26(f3(x5612)),a45))+~P14(f39(f25(x5611,x5613),f26(f3(x5612)),a45))
% 31.50/31.51 [575]E(f3(f40(f22(x5751,x5752),x5753,a45)),f40(f22(x5751,x5752),f3(x5753),a45))+P14(f39(f32(a24,f32(a18,x5751)),f3(x5753),a45))
% 31.50/31.51 [604]~P14(f39(x6041,f2(x6043),a45))+P14(f39(x6041,f2(f40(x6042,x6043,a45)),a45))
% 31.50/31.51 [605]~P14(f39(x6051,f3(x6053),a45))+P14(f39(x6051,f3(f40(x6052,x6053,a45)),a45))
% 31.50/31.51 [624]E(f40(f22(x6241,x6242),f3(f40(x6242,x6243,a45)),a45),f3(f40(f22(x6241,x6242),x6243,a45)))+~P14(f39(f32(a24,f32(a18,x6241)),f3(x6243),a45))
% 31.50/31.51 [649]P6(f3(f40(x6491,x6492,a45)),f6(f26(f3(x6493)),f3(f6(x6493,x6492,f48(a45,a1))),f48(a45,a1)),f48(a45,a1))+~P14(f39(x6491,f26(f3(x6493)),a45))
% 31.50/31.51 [657]P6(f40(f22(x6571,x6572),f3(f40(x6572,x6573,a45)),a45),f3(f40(f22(x6571,x6572),x6573,a45)),f48(a45,a1))+~P14(f39(f32(a24,f32(a18,x6571)),f3(x6573),a45))
% 31.50/31.51 [576]P14(f39(x5761,f7(x5762),a45))+~P14(f39(x5761,f2(f9(x5763,f4(a29))),a45))
% 31.50/31.51 [584]P14(f39(x5842,a8,a46))+E(f9(a16,f5(x5841,f14(f11(x5842,x5843),f4(a29),a29),a29)),f9(a16,x5841))
% 31.50/31.51 [599]~P14(f39(x5992,a8,a46))+E(f9(a16,f5(x5991,f14(f11(x5992,x5993),f4(a29),a29),a29)),f40(x5993,f9(a16,x5991),a45))
% 31.50/31.51 [623]E(x6231,x6232)+~P14(f39(x6231,f40(x6232,f33(f48(x6233,a1)),x6233),x6233))
% 31.50/31.51 [627]~P14(f39(x6271,f3(x6273),a45))+P14(f39(x6271,f3(f6(x6272,x6273,f48(a45,a1))),a45))
% 31.50/31.51 [686]~P14(f39(x6862,x6863,a46))+P14(f39(f32(a18,f32(f36(x6861),x6862)),f41(a18,f41(f36(x6861),x6863,a46,a47),a47,a47),a47))
% 31.50/31.51 [692]~P14(f39(x6921,x6922,a47))+P14(f39(f32(a24,x6921),f3(f6(f41(a24,x6922,a47,a45),x6923,f48(a45,a1))),a45))
% 31.50/31.51 [390]E(x3901,x3902)+~E(f11(x3903,x3901),f11(x3904,x3902))
% 31.50/31.51 [391]E(x3911,x3912)+~E(f22(x3913,x3911),f22(x3914,x3912))
% 31.50/31.51 [392]E(x3921,x3922)+~E(f25(x3923,x3921),f25(x3924,x3922))
% 31.50/31.51 [393]E(x3931,x3932)+~E(f10(x3933,x3931),f10(x3934,x3932))
% 31.50/31.51 [394]E(x3941,x3942)+~E(f11(x3941,x3943),f11(x3942,x3944))
% 31.50/31.51 [395]E(x3951,x3952)+~E(f22(x3951,x3953),f22(x3952,x3954))
% 31.50/31.51 [396]E(x3961,x3962)+~E(f25(x3961,x3963),f25(x3962,x3964))
% 31.50/31.51 [397]E(x3971,x3972)+~E(f10(x3971,x3973),f10(x3972,x3974))
% 31.50/31.51 [446]E(x4461,x4462)+~E(f5(x4463,x4461,x4464),f5(x4463,x4462,x4464))
% 31.50/31.51 [449]E(x4491,x4492)+~E(f5(x4491,x4493,x4494),f5(x4492,x4493,x4494))
% 31.50/31.51 [497]~P6(x4971,x4973,f48(x4974,a1))+P6(x4971,f40(x4972,x4973,x4974),f48(x4974,a1))
% 31.50/31.51 [524]~P6(f40(x5244,x5241,x5243),x5242,f48(x5243,a1))+P6(x5241,x5242,f48(x5243,a1))
% 31.50/31.51 [538]~P6(f40(x5381,x5384,x5383),x5382,f48(x5383,a1))+P14(f39(x5381,x5382,x5383))
% 31.50/31.51 [545]~P6(x5452,x5454,f48(x5453,a1))+P6(f40(x5451,x5452,x5453),f40(x5451,x5454,x5453),f48(x5453,a1))
% 31.50/31.51 [402]E(x4021,x4022)+~E(f32(f36(x4023),x4021),f32(f36(x4024),x4022))
% 31.50/31.51 [403]E(x4031,x4032)+~E(f32(f36(x4031),x4033),f32(f36(x4032),x4034))
% 31.50/31.51 [494]~P14(f32(x4942,x4944))+P14(f32(f40(x4941,x4942,x4943),x4944))
% 31.50/31.51 [512]~P8(x5124)+E(f6(x5121,f6(x5122,x5123,x5124),x5124),f6(x5122,f6(x5121,x5123,x5124),x5124))
% 31.50/31.51 [513]~P9(x5134)+E(f6(x5131,f6(x5132,x5133,x5134),x5134),f6(x5132,f6(x5131,x5133,x5134),x5134))
% 31.50/31.51 [514]~P8(x5143)+E(f6(f6(x5141,x5142,x5143),x5144,x5143),f6(x5141,f6(x5142,x5144,x5143),x5143))
% 31.50/31.51 [515]~P9(x5153)+E(f6(f6(x5151,x5152,x5153),x5154,x5153),f6(x5151,f6(x5152,x5154,x5153),x5153))
% 31.50/31.51 [555]P6(x5551,x5552,f48(x5553,a1))+~P6(f6(x5554,x5551,f48(x5553,a1)),x5552,f48(x5553,a1))
% 31.50/31.51 [556]P6(x5561,x5562,f48(x5563,a1))+~P6(f6(x5561,x5564,f48(x5563,a1)),x5562,f48(x5563,a1))
% 31.50/31.51 [565]~E(f41(x5653,x5651,x5652,x5654),f33(f48(x5654,a1)))+E(x5651,f33(f48(x5652,a1)))
% 31.50/31.51 [574]~P14(f39(x5741,x5743,x5744))+P14(f39(x5741,f40(x5742,x5743,x5744),x5744))
% 31.50/31.51 [602]P14(f39(x6021,f7(x6022),a45))+~P14(f39(f12(x6023,x6024,x6021),f15(x6022,a29),a29))
% 31.50/31.51 [606]P14(f39(x6061,f9(a16,x6062),a45))+~P14(f39(f12(x6063,x6064,x6061),f15(x6062,a29),a29))
% 31.50/31.51 [607]P14(f39(x6071,f9(x6072,x6073),a45))+~P14(f39(f12(x6072,x6074,x6071),f15(x6073,a29),a29))
% 31.50/31.51 [678]~P5(x6781,x6782,x6783,x6784)+P14(f39(f12(x6781,x6782,f57(x6781,x6782,x6783,x6784)),f15(x6784,a29),a29))
% 31.50/31.51 [431]E(x4311,x4312)+~E(f25(x4313,x4312),f25(f19(f25(x4314,x4311)),x4311))
% 31.50/31.51 [475]E(x4751,x4752)+~E(f25(f19(f25(x4751,x4753)),x4753),f25(f19(f25(x4752,x4754)),x4754))
% 31.50/31.51 [527]~P14(f32(x5272,x5274))+P14(f32(f6(x5271,x5272,f48(x5273,a1)),x5274))
% 31.50/31.51 [528]~P14(f32(x5281,x5284))+P14(f32(f6(x5281,x5282,f48(x5283,a1)),x5284))
% 31.50/31.51 [590]~P14(f39(x5901,x5903,x5904))+P14(f39(x5901,f6(x5902,x5903,f48(x5904,a1)),x5904))
% 31.50/31.51 [591]~P14(f39(x5911,x5912,x5914))+P14(f39(x5911,f6(x5912,x5913,f48(x5914,a1)),x5914))
% 31.50/31.51 [612]~P14(f39(f12(x6123,x6124,x6121),f15(x6122,a29),a29))+P14(f39(x6121,f2(f9(a16,x6122)),a45))
% 31.50/31.51 [613]~P14(f39(f12(x6133,x6134,x6131),f15(x6132,a29),a29))+P14(f39(x6131,f3(f9(a16,x6132)),a45))
% 31.50/31.51 [668]E(x6681,x6682)+~P14(f39(f32(f36(x6681),x6683),f41(f36(x6682),x6684,a46,a47),a47))
% 31.50/31.51 [673]P14(f39(x6731,x6732,a46))+~P14(f39(f32(f36(x6733),x6731),f41(f36(x6734),x6732,a46,a47),a47))
% 31.50/31.51 [697]E(x6971,x6972)+~P14(f39(f32(a18,f32(f36(x6971),x6973)),f41(a18,f41(f36(x6972),x6974,a46,a47),a47,a47),a47))
% 31.50/31.51 [699]P14(f39(x6991,x6992,a46))+~P14(f39(f32(a18,f32(f36(x6993),x6991)),f41(a18,f41(f36(x6994),x6992,a46,a47),a47,a47),a47))
% 31.50/31.51 [666]~P14(f39(x6661,f3(f9(a16,x6664)),a45))+P14(f39(x6661,f3(f9(a16,f14(f11(x6662,x6663),x6664,a29))),a45))
% 31.50/31.51 [667]~P14(f39(x6671,f3(f9(a16,x6674)),a45))+P14(f39(x6671,f3(f9(a16,f14(f10(x6672,x6673),x6674,a29))),a45))
% 31.50/31.51 [698]~P5(x6982,x6983,x6981,x6984)+P14(f39(x6981,f2(f40(f57(x6982,x6983,x6981,x6984),f33(f48(a45,a1)),a45)),a45))
% 31.50/31.51 [444]E(x4441,x4442)+~E(f14(x4443,x4441,x4444),f14(x4445,x4442,x4444))
% 31.50/31.51 [447]E(x4471,x4472)+~E(f14(x4471,x4473,x4474),f14(x4472,x4475,x4474))
% 31.50/31.51 [643]~P6(x6432,x6435,f48(x6433,a1))+P6(f41(x6431,x6432,x6433,x6434),f41(x6431,x6435,x6433,x6434),f48(x6434,a1))
% 31.50/31.51 [632]~P14(f39(x6322,x6323,x6324))+E(f40(f32(x6321,x6322),f41(x6321,x6323,x6324,x6325),x6325),f41(x6321,x6323,x6324,x6325))
% 31.50/31.51 [653]~P14(f39(x6532,x6533,x6534))+P14(f39(f32(x6531,x6532),f41(x6531,x6533,x6534,x6535),x6535))
% 31.50/31.51 [578]E(x5781,x5782)+~E(f5(x5783,f14(x5781,f4(x5784),x5784),x5784),f5(x5785,f14(x5782,f4(x5784),x5784),x5784))
% 31.50/31.51 [579]E(x5791,x5792)+~E(f5(x5791,f14(x5793,f4(x5794),x5794),x5794),f5(x5792,f14(x5795,f4(x5794),x5794),x5794))
% 31.50/31.51 [680]~P14(f39(x6801,f3(f9(a16,x6805)),a45))+P14(f39(x6801,f3(f9(a16,f14(f12(x6802,x6803,x6804),x6805,a29))),a45))
% 31.50/31.51 [443]E(x4431,x4432)+~E(f12(x4433,x4434,x4431),f12(x4435,x4436,x4432))
% 31.50/31.51 [445]E(x4451,x4452)+~E(f12(x4453,x4451,x4454),f12(x4455,x4452,x4456))
% 31.50/31.51 [448]E(x4481,x4482)+~E(f12(x4481,x4483,x4484),f12(x4482,x4485,x4486))
% 31.50/31.51 [687]~P14(f39(f12(a17,x6873,f22(f32(a34,x6873),f25(x6874,f25(x6875,f25(x6871,x6876))))),f15(x6872,a29),a29))+P14(f39(x6871,f2(f9(a16,x6872)),a45))
% 31.50/31.51 [682]~P14(f39(f12(x6823,x6824,f22(x6825,f25(x6826,f25(x6827,f25(x6828,x6821))))),f15(x6822,a29),a29))+P14(f39(x6821,f2(f9(a16,x6822)),a45))
% 31.50/31.51 [429]P14(f32(x4291,x4292))+~P14(f32(x4291,a37))+~P14(f32(x4291,a38))
% 31.50/31.51 [558]P14(f39(f19(x5581),x5582,a45))+P14(f39(x5581,f26(x5582),a45))+~P14(f39(f19(x5581),f26(x5582),a45))
% 31.50/31.51 [600]~P14(f39(x6001,a8,a46))+~P14(f39(x6002,a31,f44(a29)))+P14(f39(f32(a24,f32(a34,x6001)),f2(f9(a16,x6002)),a45))
% 31.50/31.51 [601]~P14(f39(x6011,a8,a46))+~P14(f39(x6012,a31,f44(a29)))+P14(f39(f32(a24,f32(a34,x6011)),f3(f9(a16,x6012)),a45))
% 31.50/31.51 [617]P14(f39(x6171,a8,a46))+~P14(f39(x6172,a31,f44(a29)))+~P14(f39(f32(a24,f32(a34,x6171)),f2(f9(a16,x6172)),a45))
% 31.50/31.51 [618]P14(f39(x6181,a8,a46))+~P14(f39(x6182,a31,f44(a29)))+~P14(f39(f32(a24,f32(a34,x6181)),f3(f9(a16,x6182)),a45))
% 31.50/31.51 [677]~P14(f39(x6772,a31,f44(a29)))+P14(f39(x6771,f41(a34,f35(f48(a46,a1)),a46,a47),a47))+P14(f39(f32(a24,x6771),f3(f40(f32(a24,x6771),f9(a16,x6772),a45)),a45))
% 31.50/31.51 [430]P6(x4302,x4301,x4303)+~P11(x4303)+P6(x4301,x4302,x4303)
% 31.50/31.51 [425]~P1(x4252)+~E(f6(x4253,x4251,x4252),f33(x4252))+E(x4251,f33(x4252))
% 31.50/31.51 [426]~P1(x4262)+~E(f6(x4261,x4263,x4262),f33(x4262))+E(x4261,f33(x4262))
% 31.50/31.51 [433]~P9(x4333)+~P6(x4331,x4332,x4333)+E(f6(x4331,x4332,x4333),x4332)
% 31.50/31.51 [434]~P9(x4343)+~P6(x4342,x4341,x4343)+E(f6(x4341,x4342,x4343),x4341)
% 31.50/31.51 [435]~P9(x4353)+P6(x4351,x4352,x4353)+~E(f6(x4351,x4352,x4353),x4352)
% 31.50/31.51 [485]E(x4851,x4852)+~P6(x4851,x4852,f48(x4853,a1))+~P6(x4852,x4851,f48(x4853,a1))
% 31.50/31.51 [465]P4(x4651,x4652)+~P4(x4651,f22(x4653,x4652))+~P4(x4651,f32(a24,f32(a18,x4653)))
% 31.50/31.51 [551]~P6(x5513,x5512,f48(a45,a1))+E(f3(f40(x5511,x5512,a45)),f3(x5512))+~P14(f39(x5511,f3(x5513),a45))
% 31.50/31.51 [552]~P6(x5523,f2(x5522),f48(a45,a1))+P14(f39(x5521,f2(x5522),a45))+~P14(f39(x5521,f2(x5523),a45))
% 31.50/31.51 [553]~P6(x5533,f3(x5532),f48(a45,a1))+P14(f39(x5531,f3(x5532),a45))+~P14(f39(x5531,f3(x5533),a45))
% 31.50/31.51 [554]~P6(x5543,f26(x5542),f48(a45,a1))+P14(f39(x5541,f26(x5542),a45))+~P14(f39(x5541,f26(x5543),a45))
% 31.50/31.51 [572]E(x5721,a16)+P14(f39(x5722,f9(x5721,x5723),a45))+~P14(f39(f10(x5721,x5722),f15(x5723,a29),a29))
% 31.50/31.51 [577]~P14(f39(x5771,a27,a47))+P14(f39(x5771,f20(x5772),a47))+~P14(f39(f22(x5771,x5773),x5772,a45))
% 31.50/31.51 [580]P14(f39(f25(x5801,x5802),f26(x5803),a45))+~P14(f39(x5802,f26(x5803),a45))+~P14(f39(x5801,f26(x5803),a45))
% 31.50/31.51 [581]P14(f39(x5811,f26(x5812),a45))+P14(f39(f22(x5813,x5811),x5812,a45))+~P14(f39(f22(x5813,x5811),f26(x5812),a45))
% 31.50/31.51 [582]P14(f39(x5821,f26(x5822),a45))+P14(f39(f25(x5823,x5821),x5822,a45))+~P14(f39(f25(x5823,x5821),f26(x5822),a45))
% 31.50/31.51 [583]P14(f39(x5831,f26(x5832),a45))+P14(f39(f25(x5831,x5833),x5832,a45))+~P14(f39(f25(x5831,x5833),f26(x5832),a45))
% 31.50/31.51 [587]~P14(f39(f22(x5871,x5872),f26(x5873),a45))+P14(f39(f22(x5871,x5872),x5873,a45))+P14(f39(f32(a24,x5871),x5873,a45))
% 31.50/31.51 [592]P14(f39(f22(x5921,x5922),f26(x5923),a45))+~P14(f39(x5922,f26(x5923),a45))+~P14(f39(f32(a24,x5921),x5923,a45))
% 31.50/31.51 [596]~P14(f39(x5963,a8,a46))+~P14(f39(f11(x5963,x5961),f15(x5962,a29),a29))+P14(f39(x5961,f9(a16,x5962),a45))
% 31.50/31.51 [615]P14(f39(x6151,f3(x6152),a45))+~P14(f39(f22(x6153,x6151),f3(x6152),a45))+~P14(f39(f32(a24,f32(a18,x6153)),f3(x6152),a45))
% 31.50/31.51 [629]P14(f39(x6291,f3(x6292),a45))+~P14(f39(f22(f32(a34,x6293),x6291),f3(x6292),a45))+~P14(f39(f32(a24,f32(a34,x6293)),f3(x6292),a45))
% 31.50/31.51 [589]~P6(x5891,f40(x5893,f33(f48(x5892,a1)),x5892),f48(x5892,a1))+E(x5891,f33(f48(x5892,a1)))+E(x5891,f40(x5893,f33(f48(x5892,a1)),x5892))
% 31.50/31.51 [614]P14(f39(f19(f25(x6141,x6143)),f3(x6142),a45))+P14(f39(x6141,f26(f3(x6142)),a45))+~P14(f39(f19(f25(x6141,x6143)),f26(f3(x6142)),a45))
% 31.50/31.51 [628]~P14(f39(x6283,a8,a46))+P14(f39(x6281,f3(f9(a16,x6282)),a45))+~P14(f39(f22(f32(a34,x6283),x6281),f3(f9(a16,x6282)),a45))
% 31.50/31.51 [634]P14(f39(f19(f25(x6341,x6343)),f3(x6342),a45))+~P14(f39(f25(f19(f25(x6341,x6343)),x6343),f26(f3(x6342)),a45))+P14(f39(x6341,f26(f3(x6342)),a45))
% 31.50/31.51 [638]P14(f39(x6381,f3(x6382),a45))+~P14(f39(x6383,f3(x6382),a45))+~P14(f39(x6381,f3(f40(x6383,x6382,a45)),a45))
% 31.50/31.51 [639]P14(f39(x6391,f26(x6392),a45))+~P14(f39(x6393,f26(x6392),a45))+~P14(f39(x6391,f26(f40(x6393,x6392,a45)),a45))
% 31.50/31.51 [660]P14(f39(x6601,f6(f26(f3(x6602)),f2(x6602),f48(a45,a1)),a45))+~P14(f39(x6603,f26(f3(x6602)),a45))+~P14(f39(x6601,f2(f40(x6603,x6602,a45)),a45))
% 31.50/31.51 [640]~P14(f30(x6403))+P14(f30(f14(f12(a16,x6401,x6402),x6403,a29)))+~P14(f39(x6402,f26(f3(f9(a16,x6403))),a45))
% 31.50/31.51 [654]P14(f39(x6541,f2(x6542),a45))+P14(f39(x6541,f2(x6543),a45))+~P14(f39(x6541,f2(f6(x6542,x6543,f48(a45,a1))),a45))
% 31.50/31.51 [659]~P14(f39(x6593,a31,f44(a29)))+P14(f39(f14(f12(a16,x6591,x6592),x6593,a29),a31,f44(a29)))+~P14(f39(x6592,f26(f3(f9(a16,x6593))),a45))
% 31.50/31.51 [674]P14(f39(x6741,f6(f26(f3(x6742)),f2(x6742),f48(a45,a1)),a45))+~P14(f39(x6743,f26(f3(x6742)),a45))+~P14(f39(x6741,f2(f40(x6743,f33(f48(a45,a1)),a45)),a45))
% 31.50/31.51 [457]~P6(x4573,x4571,f48(x4574,a1))+P14(f32(x4571,x4572))+~P14(f32(x4573,x4572))
% 31.50/31.51 [487]~P9(x4874)+~P6(x4871,x4873,x4874)+P6(x4871,f6(x4872,x4873,x4874),x4874)
% 31.50/31.51 [488]~P9(x4884)+~P6(x4881,x4882,x4884)+P6(x4881,f6(x4882,x4883,x4884),x4884)
% 31.50/31.51 [502]~P9(x5023)+P6(x5021,x5022,x5023)+~P6(f6(x5024,x5021,x5023),x5022,x5023)
% 31.50/31.51 [504]~P9(x5043)+P6(x5041,x5042,x5043)+~P6(f6(x5041,x5044,x5043),x5042,x5043)
% 31.50/31.51 [508]~P6(x5081,x5084,f48(x5083,a1))+~P6(x5084,x5082,f48(x5083,a1))+P6(x5081,x5082,f48(x5083,a1))
% 31.50/31.51 [543]~P6(x5434,x5432,f48(x5433,a1))+P14(f39(x5431,x5432,x5433))+~P14(f39(x5431,x5434,x5433))
% 31.50/31.51 [569]~P6(x5692,f40(x5691,x5694,x5693),f48(x5693,a1))+P6(x5692,x5694,f48(x5693,a1))+P14(f39(x5691,x5692,x5693))
% 31.50/31.51 [570]~P6(x5702,x5704,f48(x5703,a1))+P6(f40(x5701,x5702,x5703),x5704,f48(x5703,a1))+~P14(f39(x5701,x5704,x5703))
% 31.50/31.51 [547]E(x5471,x5472)+P14(f32(x5473,x5471))+~P14(f32(f40(x5472,x5473,x5474),x5471))
% 31.50/31.51 [567]~P6(x5671,x5674,f48(x5673,a1))+~P6(x5672,x5674,f48(x5673,a1))+P6(f6(x5671,x5672,f48(x5673,a1)),x5674,f48(x5673,a1))
% 31.50/31.51 [593]E(x5931,x5932)+P14(f39(x5931,x5933,x5934))+~P14(f39(x5931,f40(x5932,x5933,x5934),x5934))
% 31.50/31.51 [676]P14(f39(f23(x6761),f7(x6762),a45))+~P14(f39(x6762,a31,f44(a29)))+P14(f39(f14(f12(x6763,a17,f25(f21(x6763),f25(f21(x6764),f23(x6761)))),x6762,a29),a31,f44(a29)))
% 31.50/31.51 [509]~E(f3(x5091),f3(x5093))+~E(f3(x5092),f3(x5094))+E(f3(f6(x5091,x5092,f48(a45,a1))),f3(f6(x5093,x5094,f48(a45,a1))))
% 31.50/31.51 [588]P14(f32(x5881,x5882))+P14(f32(x5883,x5882))+~P14(f32(f6(x5881,x5883,f48(x5884,a1)),x5882))
% 31.50/31.51 [625]P14(f39(x6251,x6252,x6253))+P14(f39(x6251,x6254,x6253))+~P14(f39(x6251,f6(x6252,x6254,f48(x6253,a1)),x6253))
% 31.50/31.51 [630]~P6(f3(x6302),f3(x6304),f48(a45,a1))+~P6(f3(x6301),f3(x6303),f48(a45,a1))+P6(f3(f6(x6301,x6302,f48(a45,a1))),f3(f6(x6303,x6304,f48(a45,a1))),f48(a45,a1))
% 31.50/31.51 [636]E(x6361,x6362)+P14(f39(x6361,f15(x6363,x6364),x6364))+~P14(f39(x6361,f15(f14(x6362,x6363,x6364),x6364),x6364))
% 31.50/31.51 [664]~P14(f39(x6644,f2(x6643),a45))+~P14(f39(x6641,f2(f40(x6644,x6642,a45)),a45))+P14(f39(x6641,f2(f6(x6642,x6643,f48(a45,a1))),a45))
% 31.50/31.51 [672]~P14(f30(x6722))+P14(f39(f23(x6721),f7(x6722),a45))+P14(f30(f14(f12(x6723,a17,f25(f21(x6723),f25(f21(x6724),f23(x6721)))),x6722,a29)))
% 31.50/31.51 [483]~P2(x4834)+P6(f32(x4831,x4832),f32(x4833,x4832),x4834)+~P6(x4831,x4833,f48(x4835,x4834))
% 31.50/31.51 [594]~P6(x5941,x5944,f48(x5943,a1))+~P6(x5942,x5945,f48(x5943,a1))+P6(f6(x5941,x5942,f48(x5943,a1)),f6(x5944,x5945,f48(x5943,a1)),f48(x5943,a1))
% 31.50/31.51 [619]E(x6191,x6192)+E(x6191,x6193)+~E(f40(x6194,f40(x6191,f33(f48(x6195,a1)),x6195),x6195),f40(x6193,f40(x6192,f33(f48(x6195,a1)),x6195),x6195))
% 31.50/31.51 [620]E(x6201,x6202)+E(x6203,x6202)+~E(f40(x6203,f40(x6201,f33(f48(x6204,a1)),x6204),x6204),f40(x6205,f40(x6202,f33(f48(x6204,a1)),x6204),x6204))
% 31.50/31.51 [621]E(x6211,x6212)+E(x6213,x6212)+~E(f40(x6213,f40(x6211,f33(f48(x6214,a1)),x6214),x6214),f40(x6212,f40(x6215,f33(f48(x6214,a1)),x6214),x6214))
% 31.50/31.51 [622]E(x6221,x6222)+E(x6221,x6223)+~E(f40(x6221,f40(x6224,f33(f48(x6225,a1)),x6225),x6225),f40(x6223,f40(x6222,f33(f48(x6225,a1)),x6225),x6225))
% 31.50/31.51 [645]~P6(f41(x6451,x6455,x6456,x6454),x6453,f48(x6454,a1))+~P14(f39(x6452,x6455,x6456))+P14(f39(f32(x6451,x6452),x6453,x6454))
% 31.50/31.51 [701]E(x7011,f32(a34,x7012))+~P14(f39(f12(a17,x7012,f22(x7011,f25(x7014,f25(f21(x7015),f25(f32(a24,x7016),x7017))))),f15(x7013,a29),a29))+~P14(f39(x7013,a31,f44(a29)))
% 31.50/31.51 [702]E(x7021,f22(f32(a34,x7022),f25(f32(a24,x7023),f21(x7024))))+~P14(f39(f12(a17,x7024,f22(x7026,f25(x7027,f25(f21(x7022),f25(f32(a24,x7023),x7021))))),f15(x7025,a29),a29))+~P14(f39(x7025,a31,f44(a29)))
% 31.50/31.51 [708]~P14(f39(f12(a17,x7083,f22(x7084,f25(x7085,f25(f21(x7086),f25(f32(a24,x7082),x7087))))),f15(x7081,a29),a29))+~P14(f39(x7081,a31,f44(a29)))+~P14(f39(x7082,f41(a34,f35(f48(a46,a1)),a46,a47),a47))
% 31.50/31.51 [633]~P14(f39(x6331,a27,a47))+P14(f39(f32(a24,x6331),f7(x6332),a45))+~P14(f39(x6332,a31,f44(a29)))+~P14(f39(x6331,f20(f2(f9(a16,x6332))),a47))
% 31.50/31.51 [453]~P6(x4532,x4531,x4533)+~P6(x4531,x4532,x4533)+E(x4531,x4532)+~P10(x4533)
% 31.50/31.51 [616]~P14(f39(x6163,a27,a47))+~P14(f39(f22(x6163,x6161),f3(x6162),a45))+P14(f39(x6161,f3(x6162),a45))+~P14(f39(f32(a24,x6163),f3(x6162),a45))
% 31.50/31.51 [637]~P14(f39(f32(a24,x6373),f3(x6372),a45))+~P14(f39(f32(a24,f32(a18,x6373)),f3(x6372),a45))+~P14(f39(f22(x6373,x6371),f26(f3(x6372)),a45))+P14(f39(x6371,f26(f3(x6372)),a45))
% 31.50/31.51 [641]~P14(f39(f19(f25(x6411,x6413)),f3(x6412),a45))+P14(f39(f25(f19(f25(x6411,x6413)),x6413),f26(f3(x6412)),a45))+P14(f39(x6411,f26(f3(x6412)),a45))+~P14(f39(x6413,f26(f3(x6412)),a45))
% 31.50/31.51 [480]~P10(x4803)+~P6(x4801,x4804,x4803)+P6(x4801,x4802,x4803)+~P6(x4804,x4802,x4803)
% 31.50/31.51 [481]~P13(x4813)+~P6(x4811,x4814,x4813)+P6(x4811,x4812,x4813)+~P6(x4814,x4812,x4813)
% 31.50/31.51 [519]~P9(x5193)+~P6(x5192,x5194,x5193)+~P6(x5191,x5194,x5193)+P6(f6(x5191,x5192,x5193),x5194,x5193)
% 31.50/31.51 [537]E(x5371,x5372)+~E(f40(x5373,x5371,x5374),f40(x5373,x5372,x5374))+P14(f39(x5373,x5371,x5374))+P14(f39(x5373,x5372,x5374))
% 31.50/31.51 [658]~P6(x6583,x6582,f48(a45,a1))+P14(f39(f32(a24,x6581),f3(x6582),a45))+~P14(f39(x6584,f26(f3(x6583)),a45))+~P14(f39(f32(a24,x6581),f3(f40(x6584,x6582,a45)),a45))
% 31.50/31.51 [721]P14(f39(x7211,a8,a46))+P14(f39(f12(a17,x7212,f22(f32(a34,x7212),f25(f60(x7212,x7211,x7213,x7214),f25(f21(x7211),f25(f32(a24,x7213),f22(f32(a34,x7211),f25(f32(a24,x7213),f21(x7212)))))))),f15(x7214,a29),a29))+~P14(f39(x7214,a31,f44(a29)))+~P14(f39(f22(f32(a34,x7211),f25(f32(a24,x7213),f21(x7212))),f2(f9(a16,x7214)),a45))
% 31.50/31.51 [683]P14(f39(f32(a24,f32(a18,x6831)),f2(x6832),a45))+~P14(f39(x6834,f26(f3(x6832)),a45))+~P14(f39(x6831,f20(f2(f40(x6834,x6833,a45))),a47))+P14(f39(x6831,f20(f2(f6(x6833,x6832,f48(a45,a1)))),a47))
% 31.50/31.51 [685]P14(f39(x6854,a8,a46))+E(x6851,f22(f32(a34,x6852),f25(f32(a24,x6853),f21(x6854))))+~P14(f39(x6855,a31,f44(a29)))+~P14(f39(f22(f32(a34,x6854),f25(x6856,f25(f21(x6852),f25(f32(a24,x6853),x6851)))),f2(f9(a16,x6855)),a45))
% 31.50/31.51 [705]P14(f39(x7051,a8,a46))+P14(f39(f12(a17,x7051,f22(f32(a34,x7051),f25(x7052,f25(f21(x7053),f25(f32(a24,x7054),x7055))))),f15(x7056,a29),a29))+~P14(f39(x7056,a31,f44(a29)))+~P14(f39(f22(f32(a34,x7051),f25(x7052,f25(f21(x7053),f25(f32(a24,x7054),x7055)))),f2(f9(a16,x7056)),a45))
% 31.50/31.51 [700]P14(f39(x7001,a8,a46))+~P14(f39(x7002,a31,f44(a29)))+~P14(f39(f22(f32(a34,x7001),f25(x7004,f25(f21(x7005),f25(f32(a24,x7003),x7006)))),f2(f9(a16,x7002)),a45))+~P14(f39(x7003,f41(a34,f35(f48(a46,a1)),a46,a47),a47))
% 31.50/31.51 [716]~P14(f39(f12(x7165,x7166,f22(x7163,f23(x7162))),f15(x7164,a29),a29))+~P14(f39(f12(a17,x7166,f22(f32(a34,x7166),f25(f23(x7161),f25(f21(x7165),f25(f32(a24,x7163),x7167))))),f15(x7164,a29),a29))+~P14(f39(x7164,a31,f44(a29)))+P14(f39(f14(f11(a16,f25(f23(x7161),f25(f23(x7162),f32(a24,x7163)))),x7164,a29),a31,f44(a29)))
% 31.50/31.51 [703]E(x7031,f22(f32(a34,x7032),f25(f32(a24,x7033),f21(x7034))))+~P14(f39(f12(x7036,x7034,f22(f32(a34,x7034),f25(f23(x7037),f25(f21(x7032),f25(f32(a24,x7033),x7031))))),f15(x7035,a29),a29))+~P14(f39(x7035,a31,f44(a29)))+P14(f39(x7031,f3(f9(a16,x7035)),a45))
% 31.50/31.51 [710]~P14(f39(f12(x7104,x7105,f22(f32(a34,x7105),f25(f23(x7106),f25(f21(x7107),f25(f32(a24,x7103),x7101))))),f15(x7102,a29),a29))+~P14(f39(x7102,a31,f44(a29)))+P14(f39(x7101,f3(f9(a16,x7102)),a45))+~P14(f39(x7103,f41(a34,f35(f48(a46,a1)),a46,a47),a47))
% 31.50/31.51 [713]~P14(f30(x7134))+~P14(f39(f12(x7135,x7136,f22(x7133,f23(x7132))),f15(x7134,a29),a29))+~P14(f39(f12(a17,x7136,f22(f32(a34,x7136),f25(f23(x7131),f25(f21(x7135),f25(f32(a24,x7133),x7137))))),f15(x7134,a29),a29))+P14(f30(f14(f11(a16,f25(f23(x7131),f25(f23(x7132),f32(a24,x7133)))),x7134,a29)))
% 31.50/31.51 [717]E(x7171,x7172)+~P14(f39(f12(a17,x7178,f22(f32(a34,x7178),f25(x7179,f25(f21(x71710),f25(f32(a24,x7177),x7172))))),f15(x7173,a29),a29))+~P14(f39(f12(a17,x7174,f22(f32(a34,x7174),f25(x7175,f25(f21(x7176),f25(f32(a24,x7177),x7171))))),f15(x7173,a29),a29))+~P14(f39(x7173,a31,f44(a29)))
% 31.50/31.51 [718]E(x7181,x7182)+~P14(f39(f12(a17,x7188,f22(f32(a34,x7188),f25(x7189,f25(f21(x7182),f25(f32(a24,x7186),x71810))))),f15(x7183,a29),a29))+~P14(f39(f12(a17,x7184,f22(f32(a34,x7184),f25(x7185,f25(f21(x7181),f25(f32(a24,x7186),x7187))))),f15(x7183,a29),a29))+~P14(f39(x7183,a31,f44(a29)))
% 31.50/31.51 [719]E(x7191,x7192)+~P14(f39(f12(a17,x7198,f22(f32(a34,x7198),f25(x7192,f25(f21(x7199),f25(f32(a24,x7196),x71910))))),f15(x7193,a29),a29))+~P14(f39(f12(a17,x7194,f22(f32(a34,x7194),f25(x7191,f25(f21(x7195),f25(f32(a24,x7196),x7197))))),f15(x7193,a29),a29))+~P14(f39(x7193,a31,f44(a29)))
% 31.50/31.51 [720]E(x7201,x7202)+~P14(f39(f12(a17,x7201,f22(f32(a34,x7201),f25(x7208,f25(f21(x7209),f25(f32(a24,x7206),x72010))))),f15(x7203,a29),a29))+~P14(f39(f12(a17,x7202,f22(f32(a34,x7202),f25(x7204,f25(f21(x7205),f25(f32(a24,x7206),x7207))))),f15(x7203,a29),a29))+~P14(f39(x7203,a31,f44(a29)))
% 31.50/31.51 [681]E(x6811,x6812)+~P14(f39(x6813,a31,f44(a29)))+P14(f39(f32(a24,x6811),f3(f9(a16,x6813)),a45))+P14(f39(x6812,f41(a34,f35(f48(a46,a1)),a46,a47),a47))+~P14(f39(f32(a24,x6811),f3(f40(f32(a24,x6812),f9(a16,x6813),a45)),a45))
% 31.50/31.51 [688]~P14(f39(x6885,a27,a47))+P14(f39(f23(x6881),f7(x6882),a45))+~P14(f39(f12(x6886,x6883,f22(f32(a34,x6883),f25(f32(a24,x6885),f21(x6884)))),f15(x6882,a29),a29))+~P14(f39(x6882,a31,f44(a29)))+P14(f39(f14(f12(x6883,x6884,f22(x6885,f23(x6881))),x6882,a29),a31,f44(a29)))
% 31.50/31.51 [725]~P14(f39(x7251,a27,a47))+P14(f39(f32(a24,x7251),f7(x7252),a45))+~P14(f39(f12(x7256,a17,f25(f21(x7253),f25(f21(x7255),f23(x7254)))),f15(x7252,a29),a29))+~P14(f39(x7252,a31,f44(a29)))+P14(f39(f14(f12(a17,x7253,f22(f32(a34,x7253),f25(f23(x7254),f25(f21(x7255),f25(f32(a24,x7251),f22(f32(a34,x7255),f25(f32(a24,x7251),f21(x7253)))))))),x7252,a29),a31,f44(a29)))
% 31.50/31.51 [684]~P14(f30(x6842))+~P14(f39(x6845,a27,a47))+P14(f39(f23(x6841),f7(x6842),a45))+~P14(f39(f12(x6846,x6843,f22(f32(a34,x6843),f25(f32(a24,x6845),f21(x6844)))),f15(x6842,a29),a29))+P14(f30(f14(f12(x6843,x6844,f22(x6845,f23(x6841))),x6842,a29)))
% 31.50/31.51 [724]~P14(f30(x7242))+~P14(f39(x7241,a27,a47))+P14(f39(f32(a24,x7241),f7(x7242),a45))+~P14(f39(f12(x7246,a17,f25(f21(x7243),f25(f21(x7245),f23(x7244)))),f15(x7242,a29),a29))+P14(f30(f14(f12(a17,x7243,f22(f32(a34,x7243),f25(f23(x7244),f25(f21(x7245),f25(f32(a24,x7241),f22(f32(a34,x7245),f25(f32(a24,x7241),f21(x7243)))))))),x7242,a29)))
% 31.50/31.51 [711]E(x7111,a17)+~P14(f39(f12(x7116,x7111,f22(f32(a34,x7111),f25(f23(x7115),f25(f21(x7112),f25(f32(a24,x7117),x7113))))),f15(x7114,a29),a29))+~P14(f39(f12(x7111,a17,f25(f21(x7111),f25(f21(x7112),f23(x7115)))),f15(x7114,a29),a29))+~P14(f39(x7114,a31,f44(a29)))+P14(f39(f14(f12(x7111,x7112,x7113),x7114,a29),a31,f44(a29)))
% 31.50/31.51 [706]P14(f39(f12(x7063,x7064,f22(x7061,f23(x7065))),f15(x7062,a29),a29))+~P14(f39(f12(a17,x7064,f22(f32(a34,x7064),f25(x7066,f25(f21(x7063),f25(f32(a24,x7061),x7067))))),f15(x7062,a29),a29))+~P14(f39(x7062,a31,f44(a29)))+~P14(f39(f22(x7061,f23(x7065)),f2(f9(a16,x7062)),a45))+P14(f39(f32(a24,x7061),f3(f9(a16,x7062)),a45))
% 31.50/31.51 [707]P14(f39(f12(f62(x7073,x7074,x7072),x7073,x7074),f15(x7072,a29),a29))+~P14(f39(f12(a17,x7076,f22(f32(a34,x7076),f25(x7077,f25(f21(x7073),f25(f32(a24,x7071),x7074))))),f15(x7072,a29),a29))+~P14(f39(x7072,a31,f44(a29)))+~P14(f39(f22(x7071,f23(x7075)),f2(f9(a16,x7072)),a45))+P14(f39(f32(a24,x7071),f3(f9(a16,x7072)),a45))
% 31.50/31.51 [709]E(x7091,a17)+~P14(f30(x7094))+~P14(f39(f12(x7096,x7091,f22(f32(a34,x7091),f25(f23(x7095),f25(f21(x7092),f25(f32(a24,x7097),x7093))))),f15(x7094,a29),a29))+~P14(f39(f12(x7091,a17,f25(f21(x7091),f25(f21(x7092),f23(x7095)))),f15(x7094,a29),a29))+P14(f30(f14(f12(x7091,x7092,x7093),x7094,a29)))
% 31.50/31.51 [714]~P14(f39(x7143,a27,a47))+~P14(f39(f12(x7147,x7141,f22(f32(a34,x7141),f25(f23(x7148),f25(f21(x7142),f25(f32(a24,x7143),x7149))))),f15(x7145,a29),a29))+~P14(f39(f12(x7146,x7141,f22(x7143,f23(x7144))),f15(x7145,a29),a29))+~P14(f39(x7145,a31,f44(a29)))+P14(f39(f14(f12(x7141,x7142,f22(x7143,f25(f23(x7144),f23(x7144)))),x7145,a29),a31,f44(a29)))
% 31.50/31.51 [712]~P14(f30(x7125))+~P14(f39(x7123,a27,a47))+~P14(f39(f12(x7127,x7121,f22(f32(a34,x7121),f25(f23(x7128),f25(f21(x7122),f25(f32(a24,x7123),x7129))))),f15(x7125,a29),a29))+~P14(f39(f12(x7126,x7121,f22(x7123,f23(x7124))),f15(x7125,a29),a29))+P14(f30(f14(f12(x7121,x7122,f22(x7123,f25(f23(x7124),f23(x7124)))),x7125,a29)))
% 31.50/31.51 [663]E(x6631,a16)+~P14(f39(x6632,f9(x6631,x6633),a45))+P14(f39(f12(x6631,f13(x6631,x6632,x6633),x6632),f15(x6633,a29),a29))+P14(f39(f10(x6631,x6632),f15(x6633,a29),a29))+P14(f39(f11(x6631,x6632),f15(x6633,a29),a29))+P14(f39(x6632,f9(x6631,f4(a29)),a45))
% 31.50/31.51 [665]P5(x6652,x6651,f22(x6653,f23(x6654)),x6655)+P14(f39(x6651,a8,a46))+P14(f39(x6652,a8,a46))+~P14(f39(f12(x6652,x6651,f22(x6653,f23(x6654))),f15(x6655,a29),a29))+~P14(f39(x6655,a31,f44(a29)))+P14(f39(f32(a24,x6653),f3(f9(a16,x6655)),a45))
% 31.50/31.51 [723]P14(f39(x7231,a8,a46))+P14(f39(x7232,a8,a46))+~P14(f39(f12(a17,x7231,f22(f32(a34,x7231),f25(x7233,f25(f21(x7232),f25(f32(a24,x7234),f22(f32(a34,x7232),f25(f32(a24,x7234),f21(x7231)))))))),f15(x7235,a29),a29))+~P14(f39(x7235,a31,f44(a29)))+P14(f39(f11(a16,f25(x7233,f25(f64(x7234,x7233,x7235),f32(a24,x7234)))),f15(x7235,a29),a29))+~P14(f39(f32(a24,x7234),f3(f9(a16,x7235)),a45))
% 31.50/31.51 [722]P14(f39(x7221,a8,a46))+P14(f39(f12(x7224,x7221,f22(x7222,f25(f23(x7225),f23(x7225)))),f15(x7223,a29),a29))+~P14(f39(f12(a17,x7224,f22(f32(a34,x7224),f25(x7226,f25(f21(x7221),f25(f32(a24,x7222),f22(f32(a34,x7221),f25(f32(a24,x7222),f21(x7224)))))))),f15(x7223,a29),a29))+~P14(f39(x7223,a31,f44(a29)))+~P14(f39(f22(x7222,f25(f23(x7225),f23(x7225))),f2(f9(a16,x7223)),a45))+P14(f39(f32(a24,x7222),f3(f9(a16,x7223)),a45))
% 31.50/31.51 [715]P14(f39(x7151,a8,a46))+P14(f39(x7152,a8,a46))+~P14(f39(f12(a17,x7151,f22(x7156,f25(x7153,f25(f21(x7152),f25(f32(a24,x7154),x7157))))),f15(x7155,a29),a29))+~P14(f39(x7155,a31,f44(a29)))+P14(f39(f11(a16,f25(x7153,f25(f63(x7154,x7153,x7155),f32(a24,x7154)))),f15(x7155,a29),a29))+~P14(f39(f32(a24,x7154),f3(f9(a16,x7155)),a45))
% 31.50/31.51 [690]P14(f39(x6901,a8,a46))+P14(f39(x6902,a8,a46))+P14(f39(f12(x6902,x6901,f22(x6903,f25(f23(x6904),f23(x6904)))),f15(x6905,a29),a29))+P14(f39(f11(a16,f25(f58(x6903,x6905),f25(f61(x6903,x6905),f32(a24,x6903)))),f15(x6905,a29),a29))+~P14(f39(x6905,a31,f44(a29)))+~P14(f39(f22(x6903,f25(f23(x6904),f23(x6904))),f2(f9(a16,x6905)),a45))+~P14(f39(f22(f32(a34,x6901),f25(f32(a24,x6903),f21(x6902))),f2(f9(a16,x6905)),a45))
% 31.50/31.51 [689]P5(x6892,x6891,f22(x6893,f23(x6894)),x6895)+P14(f39(x6891,a8,a46))+P14(f39(x6892,a8,a46))+~P14(f39(x6895,a31,f44(a29)))+~P14(f39(f22(x6893,f23(x6894)),f2(f9(a16,x6895)),a45))+~P14(f39(f22(f32(a34,x6891),f25(x6896,f25(f21(x6892),f25(f32(a24,x6893),x6897)))),f2(f9(a16,x6895)),a45))+P14(f39(f32(a24,x6893),f3(f9(a16,x6895)),a45))
% 31.50/31.51 [704]P14(f39(x7041,a8,a46))+P14(f39(x7042,a8,a46))+P14(f39(f12(x7042,x7041,f22(x7043,f23(x7044))),f15(x7045,a29),a29))+P14(f39(f11(a16,f25(x7046,f25(f59(x7043,x7046,x7045),f32(a24,x7043)))),f15(x7045,a29),a29))+~P14(f39(x7045,a31,f44(a29)))+~P14(f39(f22(x7043,f23(x7044)),f2(f9(a16,x7045)),a45))+~P14(f39(f22(f32(a34,x7041),f25(x7046,f25(f21(x7042),f25(f32(a24,x7043),x7047)))),f2(f9(a16,x7045)),a45))
% 31.50/31.51 %EqnAxiom
% 31.50/31.51 [1]E(x11,x11)
% 31.50/31.51 [2]E(x22,x21)+~E(x21,x22)
% 31.50/31.51 [3]E(x31,x33)+~E(x31,x32)+~E(x32,x33)
% 31.50/31.51 [4]~E(x41,x42)+E(f2(x41),f2(x42))
% 31.50/31.51 [5]~E(x51,x52)+E(f39(x51,x53,x54),f39(x52,x53,x54))
% 31.50/31.51 [6]~E(x61,x62)+E(f39(x63,x61,x64),f39(x63,x62,x64))
% 31.50/31.51 [7]~E(x71,x72)+E(f39(x73,x74,x71),f39(x73,x74,x72))
% 31.50/31.51 [8]~E(x81,x82)+E(f15(x81,x83),f15(x82,x83))
% 31.50/31.51 [9]~E(x91,x92)+E(f15(x93,x91),f15(x93,x92))
% 31.50/31.51 [10]~E(x101,x102)+E(f3(x101),f3(x102))
% 31.50/31.51 [11]~E(x111,x112)+E(f12(x111,x113,x114),f12(x112,x113,x114))
% 31.50/31.51 [12]~E(x121,x122)+E(f12(x123,x121,x124),f12(x123,x122,x124))
% 31.50/31.51 [13]~E(x131,x132)+E(f12(x133,x134,x131),f12(x133,x134,x132))
% 31.50/31.51 [14]~E(x141,x142)+E(f25(x141,x143),f25(x142,x143))
% 31.50/31.51 [15]~E(x151,x152)+E(f25(x153,x151),f25(x153,x152))
% 31.50/31.51 [16]~E(x161,x162)+E(f11(x161,x163),f11(x162,x163))
% 31.50/31.51 [17]~E(x171,x172)+E(f11(x173,x171),f11(x173,x172))
% 31.50/31.51 [18]~E(x181,x182)+E(f44(x181),f44(x182))
% 31.50/31.51 [19]~E(x191,x192)+E(f23(x191),f23(x192))
% 31.50/31.51 [20]~E(x201,x202)+E(f32(x201,x203),f32(x202,x203))
% 31.50/31.51 [21]~E(x211,x212)+E(f32(x213,x211),f32(x213,x212))
% 31.50/31.51 [22]~E(x221,x222)+E(f9(x221,x223),f9(x222,x223))
% 31.50/31.51 [23]~E(x231,x232)+E(f9(x233,x231),f9(x233,x232))
% 31.50/31.51 [24]~E(x241,x242)+E(f19(x241),f19(x242))
% 31.50/31.51 [25]~E(x251,x252)+E(f26(x251),f26(x252))
% 31.50/31.51 [26]~E(x261,x262)+E(f48(x261,x263),f48(x262,x263))
% 31.50/31.51 [27]~E(x271,x272)+E(f48(x273,x271),f48(x273,x272))
% 31.50/31.51 [28]~E(x281,x282)+E(f33(x281),f33(x282))
% 31.50/31.51 [29]~E(x291,x292)+E(f4(x291),f4(x292))
% 31.50/31.51 [30]~E(x301,x302)+E(f30(x301),f30(x302))
% 31.50/31.51 [31]~E(x311,x312)+E(f40(x311,x313,x314),f40(x312,x313,x314))
% 31.50/31.51 [32]~E(x321,x322)+E(f40(x323,x321,x324),f40(x323,x322,x324))
% 31.50/31.51 [33]~E(x331,x332)+E(f40(x333,x334,x331),f40(x333,x334,x332))
% 31.50/31.51 [34]~E(x341,x342)+E(f41(x341,x343,x344,x345),f41(x342,x343,x344,x345))
% 31.50/31.51 [35]~E(x351,x352)+E(f41(x353,x351,x354,x355),f41(x353,x352,x354,x355))
% 31.50/31.51 [36]~E(x361,x362)+E(f41(x363,x364,x361,x365),f41(x363,x364,x362,x365))
% 31.50/31.51 [37]~E(x371,x372)+E(f41(x373,x374,x375,x371),f41(x373,x374,x375,x372))
% 31.50/31.51 [38]~E(x381,x382)+E(f42(x381),f42(x382))
% 31.50/31.51 [39]~E(x391,x392)+E(f20(x391),f20(x392))
% 31.50/31.51 [40]~E(x401,x402)+E(f22(x401,x403),f22(x402,x403))
% 31.50/31.51 [41]~E(x411,x412)+E(f22(x413,x411),f22(x413,x412))
% 31.50/31.51 [42]~E(x421,x422)+E(f21(x421),f21(x422))
% 31.50/31.51 [43]~E(x431,x432)+E(f36(x431),f36(x432))
% 31.50/31.51 [44]~E(x441,x442)+E(f61(x441,x443),f61(x442,x443))
% 31.50/31.51 [45]~E(x451,x452)+E(f61(x453,x451),f61(x453,x452))
% 31.50/31.51 [46]~E(x461,x462)+E(f7(x461),f7(x462))
% 31.50/31.51 [47]~E(x471,x472)+E(f14(x471,x473,x474),f14(x472,x473,x474))
% 31.50/31.51 [48]~E(x481,x482)+E(f14(x483,x481,x484),f14(x483,x482,x484))
% 31.50/31.51 [49]~E(x491,x492)+E(f14(x493,x494,x491),f14(x493,x494,x492))
% 31.50/31.51 [50]~E(x501,x502)+E(f6(x501,x503,x504),f6(x502,x503,x504))
% 31.50/31.51 [51]~E(x511,x512)+E(f6(x513,x511,x514),f6(x513,x512,x514))
% 31.50/31.51 [52]~E(x521,x522)+E(f6(x523,x524,x521),f6(x523,x524,x522))
% 31.50/31.51 [53]~E(x531,x532)+E(f5(x531,x533,x534),f5(x532,x533,x534))
% 31.50/31.51 [54]~E(x541,x542)+E(f5(x543,x541,x544),f5(x543,x542,x544))
% 31.50/31.51 [55]~E(x551,x552)+E(f5(x553,x554,x551),f5(x553,x554,x552))
% 31.50/31.51 [56]~E(x561,x562)+E(f35(x561),f35(x562))
% 31.50/31.51 [57]~E(x571,x572)+E(f10(x571,x573),f10(x572,x573))
% 31.50/31.51 [58]~E(x581,x582)+E(f10(x583,x581),f10(x583,x582))
% 31.50/31.51 [59]~E(x591,x592)+E(f59(x591,x593,x594),f59(x592,x593,x594))
% 31.50/31.51 [60]~E(x601,x602)+E(f59(x603,x601,x604),f59(x603,x602,x604))
% 31.50/31.51 [61]~E(x611,x612)+E(f59(x613,x614,x611),f59(x613,x614,x612))
% 31.50/31.51 [62]~E(x621,x622)+E(f28(x621,x623),f28(x622,x623))
% 31.50/31.51 [63]~E(x631,x632)+E(f28(x633,x631),f28(x633,x632))
% 31.50/31.51 [64]~E(x641,x642)+E(f57(x641,x643,x644,x645),f57(x642,x643,x644,x645))
% 31.50/31.51 [65]~E(x651,x652)+E(f57(x653,x651,x654,x655),f57(x653,x652,x654,x655))
% 31.50/31.51 [66]~E(x661,x662)+E(f57(x663,x664,x661,x665),f57(x663,x664,x662,x665))
% 31.50/31.51 [67]~E(x671,x672)+E(f57(x673,x674,x675,x671),f57(x673,x674,x675,x672))
% 31.50/31.51 [68]~E(x681,x682)+E(f58(x681,x683),f58(x682,x683))
% 31.50/31.51 [69]~E(x691,x692)+E(f58(x693,x691),f58(x693,x692))
% 31.50/31.51 [70]~E(x701,x702)+E(f13(x701,x703,x704),f13(x702,x703,x704))
% 31.50/31.51 [71]~E(x711,x712)+E(f13(x713,x711,x714),f13(x713,x712,x714))
% 31.50/31.51 [72]~E(x721,x722)+E(f13(x723,x724,x721),f13(x723,x724,x722))
% 31.50/31.51 [73]~E(x731,x732)+E(f64(x731,x733,x734),f64(x732,x733,x734))
% 31.50/31.51 [74]~E(x741,x742)+E(f64(x743,x741,x744),f64(x743,x742,x744))
% 31.50/31.51 [75]~E(x751,x752)+E(f64(x753,x754,x751),f64(x753,x754,x752))
% 31.50/31.51 [76]~E(x761,x762)+E(f62(x761,x763,x764),f62(x762,x763,x764))
% 31.50/31.51 [77]~E(x771,x772)+E(f62(x773,x771,x774),f62(x773,x772,x774))
% 31.50/31.51 [78]~E(x781,x782)+E(f62(x783,x784,x781),f62(x783,x784,x782))
% 31.50/31.51 [79]~E(x791,x792)+E(f63(x791,x793,x794),f63(x792,x793,x794))
% 31.50/31.51 [80]~E(x801,x802)+E(f63(x803,x801,x804),f63(x803,x802,x804))
% 31.50/31.51 [81]~E(x811,x812)+E(f63(x813,x814,x811),f63(x813,x814,x812))
% 31.50/31.51 [82]~E(x821,x822)+E(f60(x821,x823,x824,x825),f60(x822,x823,x824,x825))
% 31.50/31.51 [83]~E(x831,x832)+E(f60(x833,x831,x834,x835),f60(x833,x832,x834,x835))
% 31.50/31.51 [84]~E(x841,x842)+E(f60(x843,x844,x841,x845),f60(x843,x844,x842,x845))
% 31.50/31.51 [85]~E(x851,x852)+E(f60(x853,x854,x855,x851),f60(x853,x854,x855,x852))
% 31.50/31.51 [86]~P1(x861)+P1(x862)+~E(x861,x862)
% 31.50/31.51 [87]~P7(x871)+P7(x872)+~E(x871,x872)
% 31.50/31.51 [88]~P14(x881)+P14(x882)+~E(x881,x882)
% 31.50/31.51 [89]~P8(x891)+P8(x892)+~E(x891,x892)
% 31.50/31.51 [90]P6(x902,x903,x904)+~E(x901,x902)+~P6(x901,x903,x904)
% 31.50/31.51 [91]P6(x913,x912,x914)+~E(x911,x912)+~P6(x913,x911,x914)
% 31.50/31.51 [92]P6(x923,x924,x922)+~E(x921,x922)+~P6(x923,x924,x921)
% 31.50/31.51 [93]~P9(x931)+P9(x932)+~E(x931,x932)
% 31.50/31.51 [94]~P2(x941)+P2(x942)+~E(x941,x942)
% 31.50/31.51 [95]P4(x952,x953)+~E(x951,x952)+~P4(x951,x953)
% 31.50/31.51 [96]P4(x963,x962)+~E(x961,x962)+~P4(x963,x961)
% 31.50/31.51 [97]P3(x972,x973,x974)+~E(x971,x972)+~P3(x971,x973,x974)
% 31.50/31.51 [98]P3(x983,x982,x984)+~E(x981,x982)+~P3(x983,x981,x984)
% 31.50/31.51 [99]P3(x993,x994,x992)+~E(x991,x992)+~P3(x993,x994,x991)
% 31.50/31.51 [100]~P10(x1001)+P10(x1002)+~E(x1001,x1002)
% 31.50/31.51 [101]~P13(x1011)+P13(x1012)+~E(x1011,x1012)
% 31.50/31.51 [102]~P12(x1021)+P12(x1022)+~E(x1021,x1022)
% 31.50/31.51 [103]P5(x1032,x1033,x1034,x1035)+~E(x1031,x1032)+~P5(x1031,x1033,x1034,x1035)
% 31.50/31.51 [104]P5(x1043,x1042,x1044,x1045)+~E(x1041,x1042)+~P5(x1043,x1041,x1044,x1045)
% 31.50/31.51 [105]P5(x1053,x1054,x1052,x1055)+~E(x1051,x1052)+~P5(x1053,x1054,x1051,x1055)
% 31.50/31.51 [106]P5(x1063,x1064,x1065,x1062)+~E(x1061,x1062)+~P5(x1063,x1064,x1065,x1061)
% 31.50/31.51 [107]~P11(x1071)+P11(x1072)+~E(x1071,x1072)
% 31.50/31.51
% 31.50/31.51 %-------------------------------------------
% 31.50/31.54 cnf(726,plain,
% 31.50/31.54 (E(f30(a49),f39(a49,a31,f44(a29)))),
% 31.50/31.54 inference(scs_inference,[],[134,2])).
% 31.50/31.54 cnf(727,plain,
% 31.50/31.54 (~P3(a38,a37,x7271)),
% 31.50/31.54 inference(scs_inference,[],[290,134,2,416])).
% 31.50/31.54 cnf(729,plain,
% 31.50/31.54 (~E(a34,f36(x7291))),
% 31.50/31.54 inference(scs_inference,[],[290,134,325,2,416,20])).
% 31.50/31.54 cnf(731,plain,
% 31.50/31.54 (P4(f40(x7311,x7312,x7313),x7311)),
% 31.50/31.54 inference(scs_inference,[],[290,134,197,325,2,416,20,400])).
% 31.50/31.54 cnf(733,plain,
% 31.50/31.54 (~E(f41(x7331,f14(x7332,f33(f48(x7333,a1)),x7334),x7333,x7335),f33(f48(x7335,a1)))),
% 31.50/31.54 inference(scs_inference,[],[290,134,329,197,325,2,416,20,400,565])).
% 31.50/31.54 cnf(734,plain,
% 31.50/31.54 (~E(f14(x7341,x7342,x7343),x7342)),
% 31.50/31.54 inference(rename_variables,[],[329])).
% 31.50/31.54 cnf(736,plain,
% 31.50/31.54 (~P6(f14(x7361,f33(f48(x7362,a1)),x7363),f33(f48(x7362,a1)),f48(x7362,a1))),
% 31.50/31.54 inference(scs_inference,[],[290,134,329,734,197,325,2,416,20,400,565,479])).
% 31.50/31.54 cnf(737,plain,
% 31.50/31.54 (~E(f14(x7371,x7372,x7373),x7372)),
% 31.50/31.54 inference(rename_variables,[],[329])).
% 31.50/31.54 cnf(739,plain,
% 31.50/31.54 (~E(f5(f14(x7391,f4(x7392),x7393),x7394,x7392),x7394)),
% 31.50/31.54 inference(scs_inference,[],[290,134,329,734,737,197,325,2,416,20,400,565,479,420])).
% 31.50/31.54 cnf(740,plain,
% 31.50/31.54 (~E(f14(x7401,x7402,x7403),x7402)),
% 31.50/31.54 inference(rename_variables,[],[329])).
% 31.50/31.54 cnf(742,plain,
% 31.50/31.54 (~E(f5(x7421,f14(x7422,f4(x7423),x7424),x7423),x7421)),
% 31.50/31.54 inference(scs_inference,[],[290,134,329,734,737,740,197,325,2,416,20,400,565,479,420,419])).
% 31.50/31.54 cnf(743,plain,
% 31.50/31.54 (~E(f14(x7431,x7432,x7433),x7432)),
% 31.50/31.54 inference(rename_variables,[],[329])).
% 31.50/31.54 cnf(746,plain,
% 31.50/31.54 (~P14(f39(f23(x7461),f2(f9(x7462,f4(a29))),a45))),
% 31.50/31.54 inference(rename_variables,[],[361])).
% 31.50/31.54 cnf(749,plain,
% 31.50/31.54 (~P14(f39(f23(x7491),f2(f9(x7492,f4(a29))),a45))),
% 31.50/31.54 inference(rename_variables,[],[361])).
% 31.50/31.54 cnf(751,plain,
% 31.50/31.54 (~P14(f39(f12(x7511,x7512,f32(a24,a51)),f15(a50,a29),a29))),
% 31.50/31.54 inference(scs_inference,[],[290,134,360,329,734,737,740,197,325,361,746,2,416,20,400,565,479,420,419,687,682,613])).
% 31.50/31.54 cnf(753,plain,
% 31.50/31.54 (~P14(f39(f12(x7531,x7532,f23(x7533)),f15(f4(a29),a29),a29))),
% 31.50/31.54 inference(scs_inference,[],[290,134,360,329,734,737,740,197,325,361,746,749,2,416,20,400,565,479,420,419,687,682,613,612])).
% 31.50/31.54 cnf(754,plain,
% 31.50/31.54 (~P14(f39(f23(x7541),f2(f9(x7542,f4(a29))),a45))),
% 31.50/31.54 inference(rename_variables,[],[361])).
% 31.50/31.54 cnf(756,plain,
% 31.50/31.54 (P14(f39(x7561,f7(f5(x7562,f14(f12(x7563,x7564,x7561),x7565,a29),a29)),a45))),
% 31.50/31.54 inference(scs_inference,[],[290,134,360,329,734,737,740,197,325,281,361,746,749,2,416,20,400,565,479,420,419,687,682,613,612,602])).
% 31.50/31.54 cnf(757,plain,
% 31.50/31.54 (P14(f39(x7571,f15(f5(x7572,f14(x7571,x7573,x7574),x7574),x7574),x7574))),
% 31.50/31.54 inference(rename_variables,[],[281])).
% 31.50/31.54 cnf(759,plain,
% 31.50/31.54 (P6(f2(f40(f32(a24,f32(a34,x7591)),f33(f48(a45,a1)),a45)),f7(x7592),f48(a45,a1))),
% 31.50/31.54 inference(scs_inference,[],[290,134,360,329,734,737,740,197,325,201,281,361,746,749,2,416,20,400,565,479,420,419,687,682,613,612,602,598])).
% 31.50/31.54 cnf(761,plain,
% 31.50/31.54 (P6(f2(f40(f22(a51,f25(f23(a54),f23(a54))),x7611,a45)),f6(f2(f2(f9(a16,a50))),f2(x7611),f48(a45,a1)),f48(a45,a1))),
% 31.50/31.54 inference(scs_inference,[],[290,134,360,229,329,734,737,740,197,325,201,281,361,746,749,2,416,20,400,565,479,420,419,687,682,613,612,602,598,595])).
% 31.50/31.54 cnf(763,plain,
% 31.50/31.54 (P14(f39(f22(a51,f25(f23(a54),f23(a54))),f7(a50),a45))),
% 31.50/31.54 inference(scs_inference,[],[290,134,360,229,329,734,737,740,197,325,201,281,361,746,749,2,416,20,400,565,479,420,419,687,682,613,612,602,598,595,559])).
% 31.50/31.54 cnf(765,plain,
% 31.50/31.54 (P14(f39(x7651,f7(f5(x7652,f14(f11(x7653,x7651),x7654,a29),a29)),a45))),
% 31.50/31.54 inference(scs_inference,[],[290,134,360,229,329,734,737,740,197,325,201,281,757,361,746,749,2,416,20,400,565,479,420,419,687,682,613,612,602,598,595,559,557])).
% 31.50/31.54 cnf(766,plain,
% 31.50/31.54 (P14(f39(x7661,f15(f5(x7662,f14(x7661,x7663,x7664),x7664),x7664),x7664))),
% 31.50/31.54 inference(rename_variables,[],[281])).
% 31.50/31.54 cnf(768,plain,
% 31.50/31.54 (P6(x7681,f26(f6(x7681,x7682,f48(a45,a1))),f48(a45,a1))),
% 31.50/31.54 inference(scs_inference,[],[290,134,360,229,329,734,737,740,149,197,325,201,281,757,361,746,749,2,416,20,400,565,479,420,419,687,682,613,612,602,598,595,559,557,556])).
% 31.50/31.54 cnf(769,plain,
% 31.50/31.54 (P6(x7691,f26(x7691),f48(a45,a1))),
% 31.50/31.54 inference(rename_variables,[],[149])).
% 31.50/31.54 cnf(771,plain,
% 31.50/31.54 (P6(x7711,f26(f6(x7712,x7711,f48(a45,a1))),f48(a45,a1))),
% 31.50/31.54 inference(scs_inference,[],[290,134,360,229,329,734,737,740,149,769,197,325,201,281,757,361,746,749,2,416,20,400,565,479,420,419,687,682,613,612,602,598,595,559,557,556,555])).
% 31.50/31.54 cnf(772,plain,
% 31.50/31.54 (P6(x7721,f26(x7721),f48(a45,a1))),
% 31.50/31.54 inference(rename_variables,[],[149])).
% 31.50/31.54 cnf(774,plain,
% 31.50/31.54 (~P14(f39(f25(f23(f42(x7741)),x7742),f7(x7741),a45))),
% 31.50/31.54 inference(scs_inference,[],[290,134,360,229,329,734,737,740,149,769,197,325,354,201,281,757,361,746,749,2,416,20,400,565,479,420,419,687,682,613,612,602,598,595,559,557,556,555,536])).
% 31.50/31.54 cnf(776,plain,
% 31.50/31.54 (~P14(f39(f25(x7761,f23(f42(x7762))),f7(x7762),a45))),
% 31.50/31.54 inference(scs_inference,[],[290,134,360,229,329,734,737,740,149,769,197,325,354,201,281,757,361,746,749,2,416,20,400,565,479,420,419,687,682,613,612,602,598,595,559,557,556,555,536,535])).
% 31.50/31.54 cnf(778,plain,
% 31.50/31.54 (~P14(f39(f25(f32(a24,a51),x7781),f3(f9(a16,a50)),a45))),
% 31.50/31.54 inference(scs_inference,[],[290,134,360,229,329,734,737,740,149,769,197,325,354,201,281,757,361,746,749,2,416,20,400,565,479,420,419,687,682,613,612,602,598,595,559,557,556,555,536,535,534])).
% 31.50/31.54 cnf(780,plain,
% 31.50/31.54 (~P14(f39(f25(x7801,f32(a24,a51)),f3(f9(a16,a50)),a45))),
% 31.50/31.54 inference(scs_inference,[],[290,134,360,229,329,734,737,740,149,769,197,325,354,201,281,757,361,746,749,2,416,20,400,565,479,420,419,687,682,613,612,602,598,595,559,557,556,555,536,535,534,533])).
% 31.50/31.54 cnf(782,plain,
% 31.50/31.54 (~P14(f39(f25(f23(x7821),x7822),f2(f9(x7823,f4(a29))),a45))),
% 31.50/31.54 inference(scs_inference,[],[290,134,360,229,329,734,737,740,149,769,197,325,354,201,281,757,361,746,749,754,2,416,20,400,565,479,420,419,687,682,613,612,602,598,595,559,557,556,555,536,535,534,533,532])).
% 31.50/31.54 cnf(787,plain,
% 31.50/31.54 (P6(x7871,f26(x7871),f48(a45,a1))),
% 31.50/31.54 inference(rename_variables,[],[149])).
% 31.50/31.54 cnf(791,plain,
% 31.50/31.54 (~P14(f39(x7911,f3(f33(f48(a45,a1))),a45))),
% 31.50/31.54 inference(scs_inference,[],[290,134,360,229,329,734,737,740,149,769,772,197,325,368,354,201,281,757,364,361,746,749,754,2,416,20,400,565,479,420,419,687,682,613,612,602,598,595,559,557,556,555,536,535,534,533,532,531,524,511,500])).
% 31.50/31.54 cnf(795,plain,
% 31.50/31.54 (~P14(f39(f32(a24,a51),f9(a16,a50),a45))),
% 31.50/31.54 inference(scs_inference,[],[290,134,360,229,329,734,737,740,149,769,772,787,197,325,368,354,201,281,757,364,361,746,749,754,2,416,20,400,565,479,420,419,687,682,613,612,602,598,595,559,557,556,555,536,535,534,533,532,531,524,511,500,497,492])).
% 31.50/31.54 cnf(797,plain,
% 31.50/31.54 (~P14(f39(f23(x7971),f9(x7972,f4(a29)),a45))),
% 31.50/31.54 inference(scs_inference,[],[290,134,360,229,329,734,737,740,149,769,772,787,197,325,368,354,201,281,757,364,361,746,749,754,2,416,20,400,565,479,420,419,687,682,613,612,602,598,595,559,557,556,555,536,535,534,533,532,531,524,511,500,497,492,491])).
% 31.50/31.54 cnf(799,plain,
% 31.50/31.54 (~P14(f39(x7991,f33(f48(x7992,a1)),x7993))),
% 31.50/31.54 inference(scs_inference,[],[290,134,360,229,329,734,737,740,149,769,772,787,197,325,368,352,354,201,281,757,364,361,746,749,754,2,416,20,400,565,479,420,419,687,682,613,612,602,598,595,559,557,556,555,536,535,534,533,532,531,524,511,500,497,492,491,464])).
% 31.50/31.54 cnf(801,plain,
% 31.50/31.54 (P14(f39(x8011,f40(x8011,x8012,x8013),x8014))),
% 31.50/31.54 inference(scs_inference,[],[290,134,360,229,329,734,737,740,149,769,772,787,197,325,368,352,354,201,281,757,364,361,746,749,754,2,416,20,400,565,479,420,419,687,682,613,612,602,598,595,559,557,556,555,536,535,534,533,532,531,524,511,500,497,492,491,464,436])).
% 31.50/31.54 cnf(804,plain,
% 31.50/31.54 (~E(f14(x8041,x8042,x8043),x8042)),
% 31.50/31.54 inference(rename_variables,[],[329])).
% 31.50/31.54 cnf(807,plain,
% 31.50/31.54 (~E(f14(x8071,x8072,x8073),x8072)),
% 31.50/31.54 inference(rename_variables,[],[329])).
% 31.50/31.54 cnf(810,plain,
% 31.50/31.54 (P14(f39(f21(x8101),f26(x8102),a45))),
% 31.50/31.54 inference(rename_variables,[],[165])).
% 31.50/31.54 cnf(813,plain,
% 31.50/31.54 (P14(f39(f21(x8131),f26(x8132),a45))),
% 31.50/31.54 inference(rename_variables,[],[165])).
% 31.50/31.54 cnf(816,plain,
% 31.50/31.54 (P14(f39(f21(x8161),f26(x8162),a45))),
% 31.50/31.54 inference(rename_variables,[],[165])).
% 31.50/31.54 cnf(823,plain,
% 31.50/31.54 (P14(f39(x8231,f15(f5(x8232,f14(x8231,x8233,x8234),x8234),x8234),x8234))),
% 31.50/31.54 inference(rename_variables,[],[281])).
% 31.50/31.54 cnf(826,plain,
% 31.50/31.54 (P14(f39(f21(x8261),f26(x8262),a45))),
% 31.50/31.54 inference(rename_variables,[],[165])).
% 31.50/31.54 cnf(831,plain,
% 31.50/31.54 (P14(f39(x8311,f15(f5(x8312,f14(x8311,x8313,x8314),x8314),x8314),x8314))),
% 31.50/31.54 inference(rename_variables,[],[281])).
% 31.50/31.54 cnf(846,plain,
% 31.50/31.54 (~E(f14(x8461,x8462,x8463),x8462)),
% 31.50/31.54 inference(rename_variables,[],[329])).
% 31.50/31.54 cnf(847,plain,
% 31.50/31.54 (E(f35(f48(a45,a1)),f3(f35(f48(a45,a1))))),
% 31.50/31.54 inference(scs_inference,[],[155,133,290,350,134,360,229,145,329,734,737,740,743,804,807,149,769,772,787,148,138,197,160,325,165,810,813,816,368,352,354,201,281,757,766,823,364,361,746,749,754,241,2,416,20,400,565,479,420,419,687,682,613,612,602,598,595,559,557,556,555,536,535,534,533,532,531,524,511,500,497,492,491,464,436,424,423,649,626,562,496,495,607,603,575,571,545,538,478,97,96,91,90,88,3,485])).
% 31.50/31.54 cnf(849,plain,
% 31.50/31.54 (~P14(f39(f12(a17,x8491,f22(x8492,f25(x8493,f25(f21(x8494),f25(f32(a24,f32(a34,x8495)),x8496))))),f15(a50,a29),a29))),
% 31.50/31.54 inference(scs_inference,[],[155,133,290,350,134,360,229,145,329,734,737,740,743,804,807,149,769,772,787,148,138,197,160,325,165,810,813,816,368,352,354,201,281,757,766,823,364,280,361,746,749,754,241,2,416,20,400,565,479,420,419,687,682,613,612,602,598,595,559,557,556,555,536,535,534,533,532,531,524,511,500,497,492,491,464,436,424,423,649,626,562,496,495,607,603,575,571,545,538,478,97,96,91,90,88,3,485,708])).
% 31.50/31.54 cnf(850,plain,
% 31.50/31.54 (P14(f39(f32(x8501,x8502),f41(x8501,f35(f48(x8503,a1)),x8503,x8504),x8504))),
% 31.50/31.54 inference(rename_variables,[],[280])).
% 31.50/31.54 cnf(853,plain,
% 31.50/31.54 (P14(f32(f40(x8531,x8532,x8533),x8531))),
% 31.50/31.54 inference(rename_variables,[],[197])).
% 31.50/31.54 cnf(857,plain,
% 31.50/31.54 (~E(f14(x8571,x8572,x8573),x8572)),
% 31.50/31.54 inference(rename_variables,[],[329])).
% 31.50/31.54 cnf(859,plain,
% 31.50/31.54 (~P6(f9(a16,a50),f2(f9(x8591,f4(a29))),f48(a45,a1))),
% 31.50/31.54 inference(scs_inference,[],[155,133,290,350,134,360,229,145,329,734,737,740,743,804,807,846,149,769,772,787,148,138,197,160,325,165,810,813,816,368,352,354,201,281,757,766,823,364,280,361,746,749,754,363,241,2,416,20,400,565,479,420,419,687,682,613,612,602,598,595,559,557,556,555,536,535,534,533,532,531,524,511,500,497,492,491,464,436,424,423,649,626,562,496,495,607,603,575,571,545,538,478,97,96,91,90,88,3,485,708,457,701,552])).
% 31.50/31.54 cnf(863,plain,
% 31.50/31.54 (P6(x8631,f2(x8631),f48(a45,a1))),
% 31.50/31.54 inference(rename_variables,[],[147])).
% 31.50/31.54 cnf(865,plain,
% 31.50/31.54 (~P14(f39(f11(a16,f32(a24,a51)),f15(a50,a29),a29))),
% 31.50/31.54 inference(scs_inference,[],[155,133,290,350,154,134,360,229,145,329,734,737,740,743,804,807,846,149,769,772,787,148,147,138,197,160,325,165,810,813,816,368,352,354,201,281,757,766,823,364,280,361,746,749,754,363,241,2,416,20,400,565,479,420,419,687,682,613,612,602,598,595,559,557,556,555,536,535,534,533,532,531,524,511,500,497,492,491,464,436,424,423,649,626,562,496,495,607,603,575,571,545,538,478,97,96,91,90,88,3,485,708,457,701,552,551,596])).
% 31.50/31.54 cnf(869,plain,
% 31.50/31.54 (~E(f6(f14(x8691,f33(a1),x8692),x8693,a1),f33(a1))),
% 31.50/31.54 inference(scs_inference,[],[155,133,108,290,350,154,134,360,229,145,329,734,737,740,743,804,807,846,857,149,769,772,787,148,147,863,138,197,160,325,165,810,813,816,368,352,354,201,281,757,766,823,364,280,361,746,749,754,363,241,2,416,20,400,565,479,420,419,687,682,613,612,602,598,595,559,557,556,555,536,535,534,533,532,531,524,511,500,497,492,491,464,436,424,423,649,626,562,496,495,607,603,575,571,545,538,478,97,96,91,90,88,3,485,708,457,701,552,551,596,508,426])).
% 31.50/31.54 cnf(870,plain,
% 31.50/31.54 (~E(f14(x8701,x8702,x8703),x8702)),
% 31.50/31.54 inference(rename_variables,[],[329])).
% 31.50/31.54 cnf(873,plain,
% 31.50/31.54 (~E(f14(x8731,x8732,x8733),x8732)),
% 31.50/31.54 inference(rename_variables,[],[329])).
% 31.50/31.54 cnf(875,plain,
% 31.50/31.54 (P14(f39(f14(f12(a16,x8751,f21(x8752)),a50,a29),a31,f44(a29)))),
% 31.50/31.54 inference(scs_inference,[],[155,133,108,290,350,154,134,360,229,145,329,734,737,740,743,804,807,846,857,870,149,769,772,787,148,147,863,138,197,160,325,165,810,813,816,826,368,352,354,201,281,757,766,823,364,280,361,746,749,754,363,241,2,416,20,400,565,479,420,419,687,682,613,612,602,598,595,559,557,556,555,536,535,534,533,532,531,524,511,500,497,492,491,464,436,424,423,649,626,562,496,495,607,603,575,571,545,538,478,97,96,91,90,88,3,485,708,457,701,552,551,596,508,426,425,659])).
% 31.50/31.54 cnf(876,plain,
% 31.50/31.54 (P14(f39(f21(x8761),f26(x8762),a45))),
% 31.50/31.54 inference(rename_variables,[],[165])).
% 31.50/31.54 cnf(878,plain,
% 31.50/31.54 (P14(f30(f14(f12(a16,x8781,f21(x8782)),f4(a29),a29)))),
% 31.50/31.54 inference(scs_inference,[],[155,133,108,290,350,154,128,134,360,229,145,329,734,737,740,743,804,807,846,857,870,149,769,772,787,148,147,863,138,197,160,325,165,810,813,816,826,876,368,352,354,201,281,757,766,823,364,280,361,746,749,754,363,241,2,416,20,400,565,479,420,419,687,682,613,612,602,598,595,559,557,556,555,536,535,534,533,532,531,524,511,500,497,492,491,464,436,424,423,649,626,562,496,495,607,603,575,571,545,538,478,97,96,91,90,88,3,485,708,457,701,552,551,596,508,426,425,659,640])).
% 31.50/31.54 cnf(879,plain,
% 31.50/31.54 (P14(f39(f21(x8791),f26(x8792),a45))),
% 31.50/31.54 inference(rename_variables,[],[165])).
% 31.50/31.54 cnf(882,plain,
% 31.50/31.54 (P14(f39(x8821,f15(f5(x8822,f14(x8821,x8823,x8824),x8824),x8824),x8824))),
% 31.50/31.54 inference(rename_variables,[],[281])).
% 31.50/31.54 cnf(885,plain,
% 31.50/31.54 (~E(f14(x8851,x8852,x8853),x8852)),
% 31.50/31.54 inference(rename_variables,[],[329])).
% 31.50/31.54 cnf(887,plain,
% 31.50/31.54 (P14(f39(f22(x8871,f21(x8872)),f26(f40(f32(a24,x8871),x8873,a45)),a45))),
% 31.50/31.54 inference(scs_inference,[],[155,133,108,290,292,350,154,128,134,360,229,145,329,734,737,740,743,804,807,846,857,870,873,149,769,772,787,148,147,863,138,218,197,160,325,165,810,813,816,826,876,879,368,352,354,201,281,757,766,823,831,364,280,361,746,749,754,363,241,2,416,20,400,565,479,420,419,687,682,613,612,602,598,595,559,557,556,555,536,535,534,533,532,531,524,511,500,497,492,491,464,436,424,423,649,626,562,496,495,607,603,575,571,545,538,478,97,96,91,90,88,3,485,708,457,701,552,551,596,508,426,425,659,640,572,702,592])).
% 31.50/31.54 cnf(888,plain,
% 31.50/31.54 (P14(f39(x8881,f40(x8881,x8882,x8883),x8883))),
% 31.50/31.54 inference(rename_variables,[],[218])).
% 31.50/31.54 cnf(889,plain,
% 31.50/31.54 (P14(f39(f21(x8891),f26(x8892),a45))),
% 31.50/31.54 inference(rename_variables,[],[165])).
% 31.50/31.54 cnf(892,plain,
% 31.50/31.54 (~P14(f39(x8921,f33(f48(x8922,a1)),x8922))),
% 31.50/31.54 inference(rename_variables,[],[359])).
% 31.50/31.54 cnf(894,plain,
% 31.50/31.54 (~P6(f41(a24,f40(a51,x8941,x8942),x8942,a45),f3(f9(a16,a50)),f48(a45,a1))),
% 31.50/31.54 inference(scs_inference,[],[155,133,108,290,292,350,154,128,134,360,229,145,329,734,737,740,743,804,807,846,857,870,873,149,769,772,787,148,147,863,138,218,888,197,160,325,165,810,813,816,826,876,879,368,359,352,354,201,281,757,766,823,831,364,280,361,746,749,754,363,241,2,416,20,400,565,479,420,419,687,682,613,612,602,598,595,559,557,556,555,536,535,534,533,532,531,524,511,500,497,492,491,464,436,424,423,649,626,562,496,495,607,603,575,571,545,538,478,97,96,91,90,88,3,485,708,457,701,552,551,596,508,426,425,659,640,572,702,592,543,645])).
% 31.50/31.54 cnf(895,plain,
% 31.50/31.54 (P14(f39(x8951,f40(x8951,x8952,x8953),x8953))),
% 31.50/31.54 inference(rename_variables,[],[218])).
% 31.50/31.54 cnf(897,plain,
% 31.50/31.54 (~P14(f39(f19(f23(x8971)),f26(f41(a24,x8972,a47,a45)),a45))),
% 31.50/31.54 inference(scs_inference,[],[155,133,108,290,292,350,154,128,134,360,229,145,329,734,737,740,743,804,807,846,857,870,873,149,769,772,787,148,147,863,138,218,888,197,160,325,165,810,813,816,826,876,879,367,368,359,352,354,201,281,757,766,823,831,364,280,361,746,749,754,363,241,2,416,20,400,565,479,420,419,687,682,613,612,602,598,595,559,557,556,555,536,535,534,533,532,531,524,511,500,497,492,491,464,436,424,423,649,626,562,496,495,607,603,575,571,545,538,478,97,96,91,90,88,3,485,708,457,701,552,551,596,508,426,425,659,640,572,702,592,543,645,558])).
% 31.50/31.54 cnf(901,plain,
% 31.50/31.54 (P6(f33(f48(x9011,a1)),x9012,f48(x9011,a1))),
% 31.50/31.54 inference(rename_variables,[],[161])).
% 31.50/31.54 cnf(903,plain,
% 31.50/31.54 (~P14(f39(f22(x9031,f23(x9032)),f26(f41(a24,x9033,a47,a45)),a45))),
% 31.50/31.54 inference(scs_inference,[],[155,133,108,290,292,350,154,128,134,360,229,145,329,734,737,740,743,804,807,846,857,870,873,149,769,772,787,148,147,863,138,218,888,197,160,161,325,165,810,813,816,826,876,879,367,368,369,359,352,354,201,281,757,766,823,831,364,280,361,746,749,754,363,241,2,416,20,400,565,479,420,419,687,682,613,612,602,598,595,559,557,556,555,536,535,534,533,532,531,524,511,500,497,492,491,464,436,424,423,649,626,562,496,495,607,603,575,571,545,538,478,97,96,91,90,88,3,485,708,457,701,552,551,596,508,426,425,659,640,572,702,592,543,645,558,570,581])).
% 31.50/31.54 cnf(906,plain,
% 31.50/31.54 (~P14(f39(f22(f32(a34,a52),f25(x9061,f25(f21(x9062),f25(f32(a24,f32(a34,x9063)),x9064)))),f2(f9(a16,a50)),a45))),
% 31.50/31.54 inference(scs_inference,[],[155,133,108,290,292,350,154,128,134,360,229,145,329,734,737,740,743,804,807,846,857,870,873,149,769,772,787,148,147,863,138,218,888,197,160,161,325,165,810,813,816,826,876,879,367,368,369,359,352,354,201,281,757,766,823,831,364,280,850,361,746,749,754,363,241,2,416,20,400,565,479,420,419,687,682,613,612,602,598,595,559,557,556,555,536,535,534,533,532,531,524,511,500,497,492,491,464,436,424,423,649,626,562,496,495,607,603,575,571,545,538,478,97,96,91,90,88,3,485,708,457,701,552,551,596,508,426,425,659,640,572,702,592,543,645,558,570,581,700])).
% 31.50/31.54 cnf(907,plain,
% 31.50/31.54 (P14(f39(f32(x9071,x9072),f41(x9071,f35(f48(x9073,a1)),x9073,x9074),x9074))),
% 31.50/31.54 inference(rename_variables,[],[280])).
% 31.50/31.54 cnf(914,plain,
% 31.50/31.54 (~P14(f39(f12(x9141,x9142,f22(f32(a34,x9142),f25(f23(x9143),f25(f21(x9144),f25(f32(a24,x9145),f32(a24,a51)))))),f15(a50,a29),a29))),
% 31.50/31.54 inference(scs_inference,[],[155,133,108,290,292,350,154,128,134,360,229,284,145,329,734,737,740,743,804,807,846,857,870,873,149,769,772,787,148,147,863,319,138,218,888,197,160,161,325,165,810,813,816,826,876,879,367,368,369,359,352,354,201,281,757,766,823,831,364,280,850,907,361,746,749,754,363,241,2,416,20,400,565,479,420,419,687,682,613,612,602,598,595,559,557,556,555,536,535,534,533,532,531,524,511,500,497,492,491,464,436,424,423,649,626,562,496,495,607,603,575,571,545,538,478,97,96,91,90,88,3,485,708,457,701,552,551,596,508,426,425,659,640,572,702,592,543,645,558,570,581,700,710,685,703])).
% 31.50/31.54 cnf(917,plain,
% 31.50/31.54 (P14(f39(f12(a17,a52,f22(f32(a34,a52),f25(f23(a55),f25(f21(a53),f25(f32(a24,a51),a56))))),f15(a50,a29),a29))),
% 31.50/31.54 inference(scs_inference,[],[155,133,108,290,292,350,154,128,134,360,229,284,145,329,734,737,740,743,804,807,846,857,870,873,149,769,772,787,148,147,863,319,138,218,888,197,160,161,325,165,810,813,816,826,876,879,367,368,369,359,352,354,201,281,757,766,823,831,364,280,850,907,361,746,749,754,363,241,2,416,20,400,565,479,420,419,687,682,613,612,602,598,595,559,557,556,555,536,535,534,533,532,531,524,511,500,497,492,491,464,436,424,423,649,626,562,496,495,607,603,575,571,545,538,478,97,96,91,90,88,3,485,708,457,701,552,551,596,508,426,425,659,640,572,702,592,543,645,558,570,581,700,710,685,703,705])).
% 31.50/31.54 cnf(921,plain,
% 31.50/31.54 (P6(x9211,x9211,a1)),
% 31.50/31.54 inference(scs_inference,[],[155,133,108,120,290,292,350,351,154,128,134,360,366,229,284,145,329,734,737,740,743,804,807,846,857,870,873,149,769,772,787,148,147,863,319,138,218,888,197,160,161,325,165,810,813,816,826,876,879,367,368,369,359,352,354,201,281,757,766,823,831,364,280,850,907,361,746,749,754,363,241,2,416,20,400,565,479,420,419,687,682,613,612,602,598,595,559,557,556,555,536,535,534,533,532,531,524,511,500,497,492,491,464,436,424,423,649,626,562,496,495,607,603,575,571,545,538,478,97,96,91,90,88,3,485,708,457,701,552,551,596,508,426,425,659,640,572,702,592,543,645,558,570,581,700,710,685,703,705,722,399])).
% 31.50/31.54 cnf(923,plain,
% 31.50/31.54 (P6(x9231,x9231,a47)),
% 31.50/31.54 inference(scs_inference,[],[155,133,108,118,120,290,292,350,351,154,128,134,360,366,229,284,145,329,734,737,740,743,804,807,846,857,870,873,149,769,772,787,148,147,863,319,138,218,888,197,160,161,325,165,810,813,816,826,876,879,367,368,369,359,352,354,201,281,757,766,823,831,364,280,850,907,361,746,749,754,363,241,2,416,20,400,565,479,420,419,687,682,613,612,602,598,595,559,557,556,555,536,535,534,533,532,531,524,511,500,497,492,491,464,436,424,423,649,626,562,496,495,607,603,575,571,545,538,478,97,96,91,90,88,3,485,708,457,701,552,551,596,508,426,425,659,640,572,702,592,543,645,558,570,581,700,710,685,703,705,722,399,398])).
% 31.50/31.54 cnf(925,plain,
% 31.50/31.54 (P6(x9251,f6(x9251,x9252,a1),a1)),
% 31.50/31.54 inference(scs_inference,[],[155,133,108,113,118,120,290,292,350,351,154,128,134,360,366,229,284,145,329,734,737,740,743,804,807,846,857,870,873,149,769,772,787,148,147,863,319,138,218,888,197,160,161,325,165,810,813,816,826,876,879,367,368,369,359,352,354,201,281,757,766,823,831,364,280,850,907,361,746,749,754,363,241,2,416,20,400,565,479,420,419,687,682,613,612,602,598,595,559,557,556,555,536,535,534,533,532,531,524,511,500,497,492,491,464,436,424,423,649,626,562,496,495,607,603,575,571,545,538,478,97,96,91,90,88,3,485,708,457,701,552,551,596,508,426,425,659,640,572,702,592,543,645,558,570,581,700,710,685,703,705,722,399,398,442])).
% 31.50/31.54 cnf(927,plain,
% 31.50/31.54 (P6(x9271,f6(x9271,x9272,a47),a47)),
% 31.50/31.54 inference(scs_inference,[],[155,133,108,112,113,118,120,290,292,350,351,154,128,134,360,366,229,284,145,329,734,737,740,743,804,807,846,857,870,873,149,769,772,787,148,147,863,319,138,218,888,197,160,161,325,165,810,813,816,826,876,879,367,368,369,359,352,354,201,281,757,766,823,831,364,280,850,907,361,746,749,754,363,241,2,416,20,400,565,479,420,419,687,682,613,612,602,598,595,559,557,556,555,536,535,534,533,532,531,524,511,500,497,492,491,464,436,424,423,649,626,562,496,495,607,603,575,571,545,538,478,97,96,91,90,88,3,485,708,457,701,552,551,596,508,426,425,659,640,572,702,592,543,645,558,570,581,700,710,685,703,705,722,399,398,442,441])).
% 31.50/31.54 cnf(929,plain,
% 31.50/31.54 (P6(x9291,f6(x9292,x9291,a1),a1)),
% 31.50/31.54 inference(scs_inference,[],[155,133,108,112,113,118,120,290,292,350,351,154,128,134,360,366,229,284,145,329,734,737,740,743,804,807,846,857,870,873,149,769,772,787,148,147,863,319,138,218,888,197,160,161,325,165,810,813,816,826,876,879,367,368,369,359,352,354,201,281,757,766,823,831,364,280,850,907,361,746,749,754,363,241,2,416,20,400,565,479,420,419,687,682,613,612,602,598,595,559,557,556,555,536,535,534,533,532,531,524,511,500,497,492,491,464,436,424,423,649,626,562,496,495,607,603,575,571,545,538,478,97,96,91,90,88,3,485,708,457,701,552,551,596,508,426,425,659,640,572,702,592,543,645,558,570,581,700,710,685,703,705,722,399,398,442,441,440])).
% 31.50/31.54 cnf(931,plain,
% 31.50/31.54 (P6(x9311,f6(x9312,x9311,a47),a47)),
% 31.50/31.54 inference(scs_inference,[],[155,133,108,112,113,118,120,290,292,350,351,154,128,134,360,366,229,284,145,329,734,737,740,743,804,807,846,857,870,873,149,769,772,787,148,147,863,319,138,218,888,197,160,161,325,165,810,813,816,826,876,879,367,368,369,359,352,354,201,281,757,766,823,831,364,280,850,907,361,746,749,754,363,241,2,416,20,400,565,479,420,419,687,682,613,612,602,598,595,559,557,556,555,536,535,534,533,532,531,524,511,500,497,492,491,464,436,424,423,649,626,562,496,495,607,603,575,571,545,538,478,97,96,91,90,88,3,485,708,457,701,552,551,596,508,426,425,659,640,572,702,592,543,645,558,570,581,700,710,685,703,705,722,399,398,442,441,440,439])).
% 31.50/31.54 cnf(939,plain,
% 31.50/31.54 (P13(f48(x9391,a1))),
% 31.50/31.54 inference(scs_inference,[],[155,133,108,109,112,113,118,119,120,290,292,350,351,154,128,134,360,366,229,284,145,329,734,737,740,743,804,807,846,857,870,873,149,769,772,787,148,147,863,319,138,218,888,197,160,161,325,165,810,813,816,826,876,879,367,368,369,359,352,354,201,281,757,766,823,831,364,280,850,907,361,746,749,754,363,241,2,416,20,400,565,479,420,419,687,682,613,612,602,598,595,559,557,556,555,536,535,534,533,532,531,524,511,500,497,492,491,464,436,424,423,649,626,562,496,495,607,603,575,571,545,538,478,97,96,91,90,88,3,485,708,457,701,552,551,596,508,426,425,659,640,572,702,592,543,645,558,570,581,700,710,685,703,705,722,399,398,442,441,440,439,405,404,401,386])).
% 31.50/31.54 cnf(941,plain,
% 31.50/31.54 (P12(f48(x9411,a1))),
% 31.50/31.54 inference(scs_inference,[],[155,133,108,109,112,113,118,119,120,290,292,350,351,154,128,134,360,366,229,284,145,329,734,737,740,743,804,807,846,857,870,873,149,769,772,787,148,147,863,319,138,218,888,197,160,161,325,165,810,813,816,826,876,879,367,368,369,359,352,354,201,281,757,766,823,831,364,280,850,907,361,746,749,754,363,241,2,416,20,400,565,479,420,419,687,682,613,612,602,598,595,559,557,556,555,536,535,534,533,532,531,524,511,500,497,492,491,464,436,424,423,649,626,562,496,495,607,603,575,571,545,538,478,97,96,91,90,88,3,485,708,457,701,552,551,596,508,426,425,659,640,572,702,592,543,645,558,570,581,700,710,685,703,705,722,399,398,442,441,440,439,405,404,401,386,385])).
% 31.50/31.54 cnf(943,plain,
% 31.50/31.54 (P10(f48(x9431,a1))),
% 31.50/31.54 inference(scs_inference,[],[155,133,108,109,112,113,117,118,119,120,290,292,350,351,154,128,134,360,366,229,284,145,329,734,737,740,743,804,807,846,857,870,873,149,769,772,787,148,147,863,319,138,218,888,197,160,161,325,165,810,813,816,826,876,879,367,368,369,359,352,354,201,281,757,766,823,831,364,280,850,907,361,746,749,754,363,241,2,416,20,400,565,479,420,419,687,682,613,612,602,598,595,559,557,556,555,536,535,534,533,532,531,524,511,500,497,492,491,464,436,424,423,649,626,562,496,495,607,603,575,571,545,538,478,97,96,91,90,88,3,485,708,457,701,552,551,596,508,426,425,659,640,572,702,592,543,645,558,570,581,700,710,685,703,705,722,399,398,442,441,440,439,405,404,401,386,385,384])).
% 31.50/31.54 cnf(947,plain,
% 31.50/31.54 (P9(f48(x9471,a1))),
% 31.50/31.54 inference(scs_inference,[],[155,133,108,109,111,112,113,115,117,118,119,120,290,292,350,351,154,128,134,360,366,229,284,145,329,734,737,740,743,804,807,846,857,870,873,149,769,772,787,148,147,863,319,138,218,888,197,160,161,325,165,810,813,816,826,876,879,367,368,369,359,352,354,201,281,757,766,823,831,364,280,850,907,361,746,749,754,363,241,2,416,20,400,565,479,420,419,687,682,613,612,602,598,595,559,557,556,555,536,535,534,533,532,531,524,511,500,497,492,491,464,436,424,423,649,626,562,496,495,607,603,575,571,545,538,478,97,96,91,90,88,3,485,708,457,701,552,551,596,508,426,425,659,640,572,702,592,543,645,558,570,581,700,710,685,703,705,722,399,398,442,441,440,439,405,404,401,386,385,384,383,382])).
% 31.50/31.54 cnf(953,plain,
% 31.50/31.54 (P1(f48(x9531,a1))),
% 31.50/31.54 inference(scs_inference,[],[155,133,108,109,111,112,113,115,117,118,119,120,290,292,350,351,154,128,134,360,366,229,284,145,329,734,737,740,743,804,807,846,857,870,873,149,769,772,787,148,147,863,319,138,218,888,197,160,161,325,165,810,813,816,826,876,879,367,368,369,359,352,354,201,281,757,766,823,831,364,280,850,907,361,746,749,754,363,241,2,416,20,400,565,479,420,419,687,682,613,612,602,598,595,559,557,556,555,536,535,534,533,532,531,524,511,500,497,492,491,464,436,424,423,649,626,562,496,495,607,603,575,571,545,538,478,97,96,91,90,88,3,485,708,457,701,552,551,596,508,426,425,659,640,572,702,592,543,645,558,570,581,700,710,685,703,705,722,399,398,442,441,440,439,405,404,401,386,385,384,383,382,381,380,379])).
% 31.50/31.54 cnf(1014,plain,
% 31.50/31.54 (E(f48(f39(a49,a31,f44(a29)),x10141),f48(f30(a49),x10141))),
% 31.50/31.54 inference(scs_inference,[],[155,133,108,109,111,112,113,115,117,118,119,120,290,292,350,351,154,128,134,360,366,229,284,145,329,734,737,740,743,804,807,846,857,870,873,149,769,772,787,148,147,863,319,138,218,888,197,160,161,325,165,810,813,816,826,876,879,367,368,369,359,352,354,201,281,757,766,823,831,364,280,850,907,361,746,749,754,363,241,2,416,20,400,565,479,420,419,687,682,613,612,602,598,595,559,557,556,555,536,535,534,533,532,531,524,511,500,497,492,491,464,436,424,423,649,626,562,496,495,607,603,575,571,545,538,478,97,96,91,90,88,3,485,708,457,701,552,551,596,508,426,425,659,640,572,702,592,543,645,558,570,581,700,710,685,703,705,722,399,398,442,441,440,439,405,404,401,386,385,384,383,382,381,380,379,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26])).
% 31.50/31.54 cnf(1030,plain,
% 31.50/31.54 (E(f15(x10301,f39(a49,a31,f44(a29))),f15(x10301,f30(a49)))),
% 31.50/31.54 inference(scs_inference,[],[155,133,108,109,111,112,113,115,117,118,119,120,290,292,350,351,154,128,134,360,366,229,284,145,329,734,737,740,743,804,807,846,857,870,873,149,769,772,787,148,147,863,319,138,218,888,197,160,161,325,165,810,813,816,826,876,879,367,368,369,359,352,354,201,281,757,766,823,831,364,280,850,907,361,746,749,754,363,241,2,416,20,400,565,479,420,419,687,682,613,612,602,598,595,559,557,556,555,536,535,534,533,532,531,524,511,500,497,492,491,464,436,424,423,649,626,562,496,495,607,603,575,571,545,538,478,97,96,91,90,88,3,485,708,457,701,552,551,596,508,426,425,659,640,572,702,592,543,645,558,570,581,700,710,685,703,705,722,399,398,442,441,440,439,405,404,401,386,385,384,383,382,381,380,379,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,19,18,17,16,15,14,13,12,11,10,9])).
% 31.50/31.54 cnf(1040,plain,
% 31.50/31.54 (~P14(f39(a38,f40(a37,f33(f48(x10401,a1)),x10401),x10401))),
% 31.50/31.54 inference(scs_inference,[],[155,133,108,109,111,112,113,115,117,118,119,120,290,292,350,351,154,128,134,360,366,229,284,145,329,734,737,740,743,804,807,846,857,870,873,149,769,772,787,148,147,863,319,138,218,888,197,160,161,325,165,810,813,816,826,876,879,367,368,369,359,352,354,201,281,757,766,823,831,364,280,850,907,361,746,749,754,363,241,2,416,20,400,565,479,420,419,687,682,613,612,602,598,595,559,557,556,555,536,535,534,533,532,531,524,511,500,497,492,491,464,436,424,423,649,626,562,496,495,607,603,575,571,545,538,478,97,96,91,90,88,3,485,708,457,701,552,551,596,508,426,425,659,640,572,702,592,543,645,558,570,581,700,710,685,703,705,722,399,398,442,441,440,439,405,404,401,386,385,384,383,382,381,380,379,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,697,668,623])).
% 31.50/31.54 cnf(1052,plain,
% 31.50/31.54 (~P14(f39(f32(a18,f32(a18,f32(f36(x10521),x10522))),a27,a47))),
% 31.50/31.54 inference(scs_inference,[],[155,133,108,109,111,112,113,115,117,118,119,120,290,292,350,351,154,128,134,360,366,229,284,145,329,734,737,740,743,804,807,846,857,870,873,149,769,772,787,148,147,863,319,138,218,888,197,160,161,325,165,810,813,816,826,876,879,367,368,369,359,352,354,201,281,757,766,823,831,364,365,280,850,907,361,746,749,754,363,241,2,416,20,400,565,479,420,419,687,682,613,612,602,598,595,559,557,556,555,536,535,534,533,532,531,524,511,500,497,492,491,464,436,424,423,649,626,562,496,495,607,603,575,571,545,538,478,97,96,91,90,88,3,485,708,457,701,552,551,596,508,426,425,659,640,572,702,592,543,645,558,570,581,700,710,685,703,705,722,399,398,442,441,440,439,405,404,401,386,385,384,383,382,381,380,379,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,697,668,623,609,599,584,579,578,520])).
% 31.50/31.54 cnf(1054,plain,
% 31.50/31.54 (~E(f40(a38,f33(f48(x10541,a1)),x10541),f40(a37,f33(f48(x10541,a1)),x10541))),
% 31.50/31.54 inference(scs_inference,[],[155,133,108,109,111,112,113,115,117,118,119,120,290,292,350,351,154,128,134,360,366,229,284,145,329,734,737,740,743,804,807,846,857,870,873,149,769,772,787,148,147,863,319,138,218,888,197,160,161,325,165,810,813,816,826,876,879,367,368,369,359,352,354,201,281,757,766,823,831,364,365,280,850,907,361,746,749,754,363,241,2,416,20,400,565,479,420,419,687,682,613,612,602,598,595,559,557,556,555,536,535,534,533,532,531,524,511,500,497,492,491,464,436,424,423,649,626,562,496,495,607,603,575,571,545,538,478,97,96,91,90,88,3,485,708,457,701,552,551,596,508,426,425,659,640,572,702,592,543,645,558,570,581,700,710,685,703,705,722,399,398,442,441,440,439,405,404,401,386,385,384,383,382,381,380,379,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,697,668,623,609,599,584,579,578,520,516])).
% 31.50/31.54 cnf(1056,plain,
% 31.50/31.54 (P14(f39(f32(a18,f32(a34,x10561)),a27,a47))),
% 31.50/31.54 inference(scs_inference,[],[155,133,108,109,111,112,113,115,117,118,119,120,290,292,350,351,154,128,134,360,366,229,284,145,329,734,737,740,743,804,807,846,857,870,873,149,769,772,787,148,147,863,319,138,218,888,197,169,160,161,325,165,810,813,816,826,876,879,367,368,369,359,352,354,201,281,757,766,823,831,364,365,280,850,907,361,746,749,754,363,241,2,416,20,400,565,479,420,419,687,682,613,612,602,598,595,559,557,556,555,536,535,534,533,532,531,524,511,500,497,492,491,464,436,424,423,649,626,562,496,495,607,603,575,571,545,538,478,97,96,91,90,88,3,485,708,457,701,552,551,596,508,426,425,659,640,572,702,592,543,645,558,570,581,700,710,685,703,705,722,399,398,442,441,440,439,405,404,401,386,385,384,383,382,381,380,379,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,697,668,623,609,599,584,579,578,520,516,505])).
% 31.50/31.54 cnf(1062,plain,
% 31.50/31.54 (~E(f25(f19(f25(a38,x10621)),x10621),f25(f19(f25(a37,x10622)),x10622))),
% 31.50/31.54 inference(scs_inference,[],[155,133,108,109,111,112,113,115,117,118,119,120,290,292,350,351,154,128,134,360,366,229,284,145,329,734,737,740,743,804,807,846,857,870,873,149,769,772,787,148,147,863,319,138,218,888,197,169,160,161,325,165,810,813,816,826,876,879,367,368,369,359,352,354,201,281,757,766,823,831,364,365,280,850,907,361,746,749,754,363,241,2,416,20,400,565,479,420,419,687,682,613,612,602,598,595,559,557,556,555,536,535,534,533,532,531,524,511,500,497,492,491,464,436,424,423,649,626,562,496,495,607,603,575,571,545,538,478,97,96,91,90,88,3,485,708,457,701,552,551,596,508,426,425,659,640,572,702,592,543,645,558,570,581,700,710,685,703,705,722,399,398,442,441,440,439,405,404,401,386,385,384,383,382,381,380,379,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,697,668,623,609,599,584,579,578,520,516,505,490,489,475])).
% 31.50/31.54 cnf(1090,plain,
% 31.50/31.54 (~E(f32(f36(a38),x10901),f32(f36(a37),x10902))),
% 31.50/31.54 inference(scs_inference,[],[155,133,108,109,111,112,113,115,117,118,119,120,290,292,350,351,154,128,134,360,366,229,284,145,329,734,737,740,743,804,807,846,857,870,873,149,769,772,787,148,147,863,319,138,218,888,197,169,160,161,325,165,810,813,816,826,876,879,367,368,369,359,352,354,201,281,757,766,823,831,364,365,280,850,907,361,746,749,754,363,241,2,416,20,400,565,479,420,419,687,682,613,612,602,598,595,559,557,556,555,536,535,534,533,532,531,524,511,500,497,492,491,464,436,424,423,649,626,562,496,495,607,603,575,571,545,538,478,97,96,91,90,88,3,485,708,457,701,552,551,596,508,426,425,659,640,572,702,592,543,645,558,570,581,700,710,685,703,705,722,399,398,442,441,440,439,405,404,401,386,385,384,383,382,381,380,379,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,697,668,623,609,599,584,579,578,520,516,505,490,489,475,449,448,447,446,445,444,443,428,427,413,412,407,406,403])).
% 31.50/31.54 cnf(1136,plain,
% 31.50/31.54 (P6(x11361,f26(f6(f26(x11361),x11362,f48(a45,a1))),f48(a45,a1))),
% 31.50/31.54 inference(scs_inference,[],[155,133,108,109,111,112,113,115,117,118,119,120,290,292,350,351,154,128,134,360,366,229,284,145,329,734,737,740,743,804,807,846,857,870,873,149,769,772,787,148,147,863,319,138,218,888,197,169,160,161,325,165,810,813,816,826,876,879,367,368,369,359,352,354,201,281,757,766,823,831,364,365,280,850,907,361,746,749,754,363,241,2,416,20,400,565,479,420,419,687,682,613,612,602,598,595,559,557,556,555,536,535,534,533,532,531,524,511,500,497,492,491,464,436,424,423,649,626,562,496,495,607,603,575,571,545,538,478,97,96,91,90,88,3,485,708,457,701,552,551,596,508,426,425,659,640,572,702,592,543,645,558,570,581,700,710,685,703,705,722,399,398,442,441,440,439,405,404,401,386,385,384,383,382,381,380,379,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,697,668,623,609,599,584,579,578,520,516,505,490,489,475,449,448,447,446,445,444,443,428,427,413,412,407,406,403,402,397,396,395,394,393,392,391,390,389,388,387,378,377,376,476,463,462,461,486,473,472,471])).
% 31.50/31.54 cnf(1154,plain,
% 31.50/31.54 (P14(f39(f32(a24,x11541),f3(f6(f41(a24,f40(x11541,x11542,a47),a47,a45),x11543,f48(a45,a1))),a45))),
% 31.50/31.54 inference(scs_inference,[],[155,133,108,109,111,112,113,115,117,118,119,120,290,292,350,351,154,128,134,360,366,229,284,145,329,734,737,740,743,804,807,846,857,870,873,149,769,772,787,148,147,863,319,138,218,888,895,197,169,150,160,161,901,325,165,810,813,816,826,876,879,367,368,369,359,352,354,201,281,757,766,823,831,364,365,234,280,850,907,361,746,749,754,363,241,2,416,20,400,565,479,420,419,687,682,613,612,602,598,595,559,557,556,555,536,535,534,533,532,531,524,511,500,497,492,491,464,436,424,423,649,626,562,496,495,607,603,575,571,545,538,478,97,96,91,90,88,3,485,708,457,701,552,551,596,508,426,425,659,640,572,702,592,543,645,558,570,581,700,710,685,703,705,722,399,398,442,441,440,439,405,404,401,386,385,384,383,382,381,380,379,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,697,668,623,609,599,584,579,578,520,516,505,490,489,475,449,448,447,446,445,444,443,428,427,413,412,407,406,403,402,397,396,395,394,393,392,391,390,389,388,387,378,377,376,476,463,462,461,486,473,472,471,470,468,467,466,431,411,410,699,692])).
% 31.50/31.54 cnf(1157,plain,
% 31.50/31.54 (P14(f39(f32(a18,f32(f36(x11571),a16)),f41(a18,f41(f36(x11571),a8,a46,a47),a47,a47),a47))),
% 31.50/31.54 inference(scs_inference,[],[155,133,108,109,111,112,113,115,117,118,119,120,290,292,350,351,154,128,134,360,366,229,284,145,329,734,737,740,743,804,807,846,857,870,873,149,769,772,787,148,147,863,319,138,218,888,895,197,169,150,160,161,901,325,165,810,813,816,826,876,879,367,368,369,359,352,354,201,281,757,766,823,831,364,365,234,280,850,907,361,746,749,754,363,241,2,416,20,400,565,479,420,419,687,682,613,612,602,598,595,559,557,556,555,536,535,534,533,532,531,524,511,500,497,492,491,464,436,424,423,649,626,562,496,495,607,603,575,571,545,538,478,97,96,91,90,88,3,485,708,457,701,552,551,596,508,426,425,659,640,572,702,592,543,645,558,570,581,700,710,685,703,705,722,399,398,442,441,440,439,405,404,401,386,385,384,383,382,381,380,379,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,697,668,623,609,599,584,579,578,520,516,505,490,489,475,449,448,447,446,445,444,443,428,427,413,412,407,406,403,402,397,396,395,394,393,392,391,390,389,388,387,378,377,376,476,463,462,461,486,473,472,471,470,468,467,466,431,411,410,699,692,686])).
% 31.50/31.54 cnf(1162,plain,
% 31.50/31.54 (~P14(f39(x11621,f33(f48(x11622,a1)),x11622))),
% 31.50/31.54 inference(rename_variables,[],[359])).
% 31.50/31.54 cnf(1164,plain,
% 31.50/31.54 (~P14(f39(f32(a24,x11641),f41(a24,f33(f48(a47,a1)),a47,a45),a45))),
% 31.50/31.54 inference(scs_inference,[],[155,133,108,109,111,112,113,115,117,118,119,120,290,292,350,351,154,128,134,360,366,229,284,145,329,734,737,740,743,804,807,846,857,870,873,149,769,772,787,148,147,863,319,138,218,888,895,197,169,150,160,161,901,325,165,810,813,816,826,876,879,367,368,369,359,892,1162,352,354,201,281,757,766,823,831,364,365,234,280,850,907,361,746,749,754,363,241,2,416,20,400,565,479,420,419,687,682,613,612,602,598,595,559,557,556,555,536,535,534,533,532,531,524,511,500,497,492,491,464,436,424,423,649,626,562,496,495,607,603,575,571,545,538,478,97,96,91,90,88,3,485,708,457,701,552,551,596,508,426,425,659,640,572,702,592,543,645,558,570,581,700,710,685,703,705,722,399,398,442,441,440,439,405,404,401,386,385,384,383,382,381,380,379,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,697,668,623,609,599,584,579,578,520,516,505,490,489,475,449,448,447,446,445,444,443,428,427,413,412,407,406,403,402,397,396,395,394,393,392,391,390,389,388,387,378,377,376,476,463,462,461,486,473,472,471,470,468,467,466,431,411,410,699,692,686,673,671,670])).
% 31.50/31.54 cnf(1169,plain,
% 31.50/31.54 (P14(f39(f32(a24,f32(f36(x11691),x11692)),f3(f6(x11693,f9(a16,x11694),f48(a45,a1))),a45))),
% 31.50/31.54 inference(scs_inference,[],[155,133,108,109,111,112,113,115,117,118,119,120,290,292,350,351,154,128,134,360,366,229,284,145,329,734,737,740,743,804,807,846,857,870,873,149,769,772,787,148,147,863,319,138,218,888,895,197,169,150,160,161,901,325,165,810,813,816,826,876,879,367,368,369,359,892,1162,352,354,201,281,757,766,823,831,364,365,234,280,850,907,361,746,749,754,363,241,2,416,20,400,565,479,420,419,687,682,613,612,602,598,595,559,557,556,555,536,535,534,533,532,531,524,511,500,497,492,491,464,436,424,423,649,626,562,496,495,607,603,575,571,545,538,478,97,96,91,90,88,3,485,708,457,701,552,551,596,508,426,425,659,640,572,702,592,543,645,558,570,581,700,710,685,703,705,722,399,398,442,441,440,439,405,404,401,386,385,384,383,382,381,380,379,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,697,668,623,609,599,584,579,578,520,516,505,490,489,475,449,448,447,446,445,444,443,428,427,413,412,407,406,403,402,397,396,395,394,393,392,391,390,389,388,387,378,377,376,476,463,462,461,486,473,472,471,470,468,467,466,431,411,410,699,692,686,673,671,670,669,627])).
% 31.50/31.54 cnf(1174,plain,
% 31.50/31.54 (P14(f39(f32(a24,f32(f36(x11741),x11742)),f3(f40(x11743,f9(a16,x11744),a45)),a45))),
% 31.50/31.54 inference(scs_inference,[],[155,133,108,109,111,112,113,115,117,118,119,120,290,292,350,351,154,128,134,360,366,229,284,145,329,734,737,740,743,804,807,846,857,870,873,149,769,772,787,148,147,863,319,138,218,888,895,197,169,150,160,161,901,325,165,810,813,816,826,876,879,367,368,369,359,892,1162,352,354,201,281,757,766,823,831,882,364,365,234,280,850,907,361,746,749,754,363,241,2,416,20,400,565,479,420,419,687,682,613,612,602,598,595,559,557,556,555,536,535,534,533,532,531,524,511,500,497,492,491,464,436,424,423,649,626,562,496,495,607,603,575,571,545,538,478,97,96,91,90,88,3,485,708,457,701,552,551,596,508,426,425,659,640,572,702,592,543,645,558,570,581,700,710,685,703,705,722,399,398,442,441,440,439,405,404,401,386,385,384,383,382,381,380,379,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,697,668,623,609,599,584,579,578,520,516,505,490,489,475,449,448,447,446,445,444,443,428,427,413,412,407,406,403,402,397,396,395,394,393,392,391,390,389,388,387,378,377,376,476,463,462,461,486,473,472,471,470,468,467,466,431,411,410,699,692,686,673,671,670,669,627,606,605])).
% 31.50/31.54 cnf(1176,plain,
% 31.50/31.54 (P14(f39(f22(a51,f25(f23(a54),f23(a54))),f2(f40(x11761,f9(a16,a50),a45)),a45))),
% 31.50/31.54 inference(scs_inference,[],[155,133,108,109,111,112,113,115,117,118,119,120,290,292,350,351,154,128,134,360,366,229,284,145,329,734,737,740,743,804,807,846,857,870,873,149,769,772,787,148,147,863,319,138,218,888,895,197,169,150,160,161,901,325,165,810,813,816,826,876,879,367,368,369,359,892,1162,352,354,201,281,757,766,823,831,882,364,365,234,280,850,907,361,746,749,754,363,241,2,416,20,400,565,479,420,419,687,682,613,612,602,598,595,559,557,556,555,536,535,534,533,532,531,524,511,500,497,492,491,464,436,424,423,649,626,562,496,495,607,603,575,571,545,538,478,97,96,91,90,88,3,485,708,457,701,552,551,596,508,426,425,659,640,572,702,592,543,645,558,570,581,700,710,685,703,705,722,399,398,442,441,440,439,405,404,401,386,385,384,383,382,381,380,379,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,697,668,623,609,599,584,579,578,520,516,505,490,489,475,449,448,447,446,445,444,443,428,427,413,412,407,406,403,402,397,396,395,394,393,392,391,390,389,388,387,378,377,376,476,463,462,461,486,473,472,471,470,468,467,466,431,411,410,699,692,686,673,671,670,669,627,606,605,604])).
% 31.50/31.54 cnf(1180,plain,
% 31.50/31.54 (~P14(f39(f32(a24,a51),f26(f3(f9(a16,a50))),a45))),
% 31.50/31.54 inference(scs_inference,[],[155,133,108,109,111,112,113,115,117,118,119,120,290,292,350,351,154,128,134,360,366,229,284,145,329,734,737,740,743,804,807,846,857,870,873,149,769,772,787,148,147,863,319,138,218,888,895,197,169,150,160,161,901,325,165,810,813,816,826,876,879,367,368,369,359,892,1162,352,354,201,281,757,766,823,831,882,364,365,234,280,850,907,361,746,749,754,363,241,2,416,20,400,565,479,420,419,687,682,613,612,602,598,595,559,557,556,555,536,535,534,533,532,531,524,511,500,497,492,491,464,436,424,423,649,626,562,496,495,607,603,575,571,545,538,478,97,96,91,90,88,3,485,708,457,701,552,551,596,508,426,425,659,640,572,702,592,543,645,558,570,581,700,710,685,703,705,722,399,398,442,441,440,439,405,404,401,386,385,384,383,382,381,380,379,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,697,668,623,609,599,584,579,578,520,516,505,490,489,475,449,448,447,446,445,444,443,428,427,413,412,407,406,403,402,397,396,395,394,393,392,391,390,389,388,387,378,377,376,476,463,462,461,486,473,472,471,470,468,467,466,431,411,410,699,692,686,673,671,670,669,627,606,605,604,548,546])).
% 31.50/31.54 cnf(1182,plain,
% 31.50/31.54 (P14(f39(f25(f23(a54),f23(a54)),f2(f9(a16,a50)),a45))),
% 31.50/31.54 inference(scs_inference,[],[155,133,108,109,111,112,113,115,117,118,119,120,290,292,350,351,154,128,134,360,366,229,284,145,329,734,737,740,743,804,807,846,857,870,873,149,769,772,787,148,147,863,319,138,218,888,895,197,169,150,160,161,901,325,165,810,813,816,826,876,879,367,368,369,359,892,1162,352,354,201,281,757,766,823,831,882,364,365,234,280,850,907,361,746,749,754,363,241,2,416,20,400,565,479,420,419,687,682,613,612,602,598,595,559,557,556,555,536,535,534,533,532,531,524,511,500,497,492,491,464,436,424,423,649,626,562,496,495,607,603,575,571,545,538,478,97,96,91,90,88,3,485,708,457,701,552,551,596,508,426,425,659,640,572,702,592,543,645,558,570,581,700,710,685,703,705,722,399,398,442,441,440,439,405,404,401,386,385,384,383,382,381,380,379,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,697,668,623,609,599,584,579,578,520,516,505,490,489,475,449,448,447,446,445,444,443,428,427,413,412,407,406,403,402,397,396,395,394,393,392,391,390,389,388,387,378,377,376,476,463,462,461,486,473,472,471,470,468,467,466,431,411,410,699,692,686,673,671,670,669,627,606,605,604,548,546,530])).
% 31.50/31.54 cnf(1184,plain,
% 31.50/31.54 (P14(f32(f6(f40(x11841,x11842,x11843),x11844,f48(x11845,a1)),x11841))),
% 31.50/31.54 inference(scs_inference,[],[155,133,108,109,111,112,113,115,117,118,119,120,290,292,350,351,154,128,134,360,366,229,284,145,329,734,737,740,743,804,807,846,857,870,873,149,769,772,787,148,147,863,319,138,218,888,895,197,853,169,150,160,161,901,325,165,810,813,816,826,876,879,367,368,369,359,892,1162,352,354,201,281,757,766,823,831,882,364,365,234,280,850,907,361,746,749,754,363,241,2,416,20,400,565,479,420,419,687,682,613,612,602,598,595,559,557,556,555,536,535,534,533,532,531,524,511,500,497,492,491,464,436,424,423,649,626,562,496,495,607,603,575,571,545,538,478,97,96,91,90,88,3,485,708,457,701,552,551,596,508,426,425,659,640,572,702,592,543,645,558,570,581,700,710,685,703,705,722,399,398,442,441,440,439,405,404,401,386,385,384,383,382,381,380,379,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,697,668,623,609,599,584,579,578,520,516,505,490,489,475,449,448,447,446,445,444,443,428,427,413,412,407,406,403,402,397,396,395,394,393,392,391,390,389,388,387,378,377,376,476,463,462,461,486,473,472,471,470,468,467,466,431,411,410,699,692,686,673,671,670,669,627,606,605,604,548,546,530,528])).
% 31.50/31.54 cnf(1186,plain,
% 31.50/31.54 (P14(f32(f6(x11861,f40(x11862,x11863,x11864),f48(x11865,a1)),x11862))),
% 31.50/31.54 inference(scs_inference,[],[155,133,108,109,111,112,113,115,117,118,119,120,290,292,350,351,154,128,134,360,366,229,284,145,329,734,737,740,743,804,807,846,857,870,873,149,769,772,787,148,147,863,319,138,218,888,895,197,853,169,150,160,161,901,325,165,810,813,816,826,876,879,367,368,369,359,892,1162,352,354,201,281,757,766,823,831,882,364,365,234,280,850,907,361,746,749,754,363,241,2,416,20,400,565,479,420,419,687,682,613,612,602,598,595,559,557,556,555,536,535,534,533,532,531,524,511,500,497,492,491,464,436,424,423,649,626,562,496,495,607,603,575,571,545,538,478,97,96,91,90,88,3,485,708,457,701,552,551,596,508,426,425,659,640,572,702,592,543,645,558,570,581,700,710,685,703,705,722,399,398,442,441,440,439,405,404,401,386,385,384,383,382,381,380,379,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,697,668,623,609,599,584,579,578,520,516,505,490,489,475,449,448,447,446,445,444,443,428,427,413,412,407,406,403,402,397,396,395,394,393,392,391,390,389,388,387,378,377,376,476,463,462,461,486,473,472,471,470,468,467,466,431,411,410,699,692,686,673,671,670,669,627,606,605,604,548,546,530,528,527])).
% 31.50/31.54 cnf(1188,plain,
% 31.50/31.54 (~P14(f39(f23(x11881),f26(f26(f41(a24,x11882,a47,a45))),a45))),
% 31.50/31.54 inference(scs_inference,[],[155,133,108,109,111,112,113,115,117,118,119,120,290,292,350,351,154,128,134,360,366,229,284,145,329,734,737,740,743,804,807,846,857,870,873,149,769,772,787,148,147,863,319,138,218,888,895,197,853,169,150,160,161,901,325,165,810,813,816,826,876,879,367,368,369,359,892,1162,352,354,201,281,757,766,823,831,882,364,365,234,280,850,907,361,746,749,754,363,241,2,416,20,400,565,479,420,419,687,682,613,612,602,598,595,559,557,556,555,536,535,534,533,532,531,524,511,500,497,492,491,464,436,424,423,649,626,562,496,495,607,603,575,571,545,538,478,97,96,91,90,88,3,485,708,457,701,552,551,596,508,426,425,659,640,572,702,592,543,645,558,570,581,700,710,685,703,705,722,399,398,442,441,440,439,405,404,401,386,385,384,383,382,381,380,379,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,697,668,623,609,599,584,579,578,520,516,505,490,489,475,449,448,447,446,445,444,443,428,427,413,412,407,406,403,402,397,396,395,394,393,392,391,390,389,388,387,378,377,376,476,463,462,461,486,473,472,471,470,468,467,466,431,411,410,699,692,686,673,671,670,669,627,606,605,604,548,546,530,528,527,523])).
% 31.50/31.54 cnf(1203,plain,
% 31.50/31.54 (P14(f39(f19(f21(x12031)),f26(x12032),a45))),
% 31.50/31.54 inference(scs_inference,[],[155,133,108,109,111,112,113,115,117,118,119,120,290,292,350,351,154,128,134,360,366,229,284,145,329,734,737,740,743,804,807,846,857,870,873,149,769,772,787,148,147,863,319,138,218,888,895,197,853,169,150,160,161,901,325,165,810,813,816,826,876,879,889,367,368,369,359,892,1162,352,354,201,281,757,766,823,831,882,364,365,234,280,850,907,361,746,749,754,363,241,2,416,20,400,565,479,420,419,687,682,613,612,602,598,595,559,557,556,555,536,535,534,533,532,531,524,511,500,497,492,491,464,436,424,423,649,626,562,496,495,607,603,575,571,545,538,478,97,96,91,90,88,3,485,708,457,701,552,551,596,508,426,425,659,640,572,702,592,543,645,558,570,581,700,710,685,703,705,722,399,398,442,441,440,439,405,404,401,386,385,384,383,382,381,380,379,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,697,668,623,609,599,584,579,578,520,516,505,490,489,475,449,448,447,446,445,444,443,428,427,413,412,407,406,403,402,397,396,395,394,393,392,391,390,389,388,387,378,377,376,476,463,462,461,486,473,472,471,470,468,467,466,431,411,410,699,692,686,673,671,670,669,627,606,605,604,548,546,530,528,527,523,522,521,515,514,513,512,506])).
% 31.50/31.54 cnf(1205,plain,
% 31.50/31.54 (P14(f32(f40(x12051,f40(x12052,x12053,x12054),x12055),x12052))),
% 31.50/31.54 inference(scs_inference,[],[155,133,108,109,111,112,113,115,117,118,119,120,290,292,350,351,154,128,134,360,366,229,284,145,329,734,737,740,743,804,807,846,857,870,873,149,769,772,787,148,147,863,319,138,218,888,895,197,853,169,150,160,161,901,325,165,810,813,816,826,876,879,889,367,368,369,359,892,1162,352,354,201,281,757,766,823,831,882,364,365,234,280,850,907,361,746,749,754,363,241,2,416,20,400,565,479,420,419,687,682,613,612,602,598,595,559,557,556,555,536,535,534,533,532,531,524,511,500,497,492,491,464,436,424,423,649,626,562,496,495,607,603,575,571,545,538,478,97,96,91,90,88,3,485,708,457,701,552,551,596,508,426,425,659,640,572,702,592,543,645,558,570,581,700,710,685,703,705,722,399,398,442,441,440,439,405,404,401,386,385,384,383,382,381,380,379,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,697,668,623,609,599,584,579,578,520,516,505,490,489,475,449,448,447,446,445,444,443,428,427,413,412,407,406,403,402,397,396,395,394,393,392,391,390,389,388,387,378,377,376,476,463,462,461,486,473,472,471,470,468,467,466,431,411,410,699,692,686,673,671,670,669,627,606,605,604,548,546,530,528,527,523,522,521,515,514,513,512,506,494])).
% 31.50/31.54 cnf(1217,plain,
% 31.50/31.54 (~E(f6(f14(x12171,f33(f48(x12172,a1)),x12173),x12174,f48(x12172,a1)),f33(f48(x12172,a1)))),
% 31.50/31.54 inference(scs_inference,[],[155,133,108,109,111,112,113,115,117,118,119,120,290,292,350,351,154,128,134,360,366,229,284,145,329,734,737,740,743,804,807,846,857,870,873,885,149,769,772,787,148,147,863,319,138,218,888,895,197,853,169,150,160,161,901,126,325,165,810,813,816,826,876,879,889,367,368,369,359,892,1162,352,354,201,281,757,766,823,831,882,364,365,234,280,850,907,361,746,749,754,363,241,2,416,20,400,565,479,420,419,687,682,613,612,602,598,595,559,557,556,555,536,535,534,533,532,531,524,511,500,497,492,491,464,436,424,423,649,626,562,496,495,607,603,575,571,545,538,478,97,96,91,90,88,3,485,708,457,701,552,551,596,508,426,425,659,640,572,702,592,543,645,558,570,581,700,710,685,703,705,722,399,398,442,441,440,439,405,404,401,386,385,384,383,382,381,380,379,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,697,668,623,609,599,584,579,578,520,516,505,490,489,475,449,448,447,446,445,444,443,428,427,413,412,407,406,403,402,397,396,395,394,393,392,391,390,389,388,387,378,377,376,476,463,462,461,486,473,472,471,470,468,467,466,431,411,410,699,692,686,673,671,670,669,627,606,605,604,548,546,530,528,527,523,522,521,515,514,513,512,506,494,493,477,460,459,458,455])).
% 31.50/31.54 cnf(1218,plain,
% 31.50/31.54 (~E(f14(x12181,x12182,x12183),x12182)),
% 31.50/31.54 inference(rename_variables,[],[329])).
% 31.50/31.54 cnf(1221,plain,
% 31.50/31.54 (~E(f14(x12211,x12212,x12213),x12212)),
% 31.50/31.54 inference(rename_variables,[],[329])).
% 31.50/31.54 cnf(1224,plain,
% 31.50/31.54 (~E(f14(x12241,x12242,x12243),x12242)),
% 31.50/31.54 inference(rename_variables,[],[329])).
% 31.50/31.54 cnf(1235,plain,
% 31.50/31.54 (P14(f39(a50,f6(x12351,a31,f48(f44(a29),a1)),f44(a29)))),
% 31.50/31.54 inference(scs_inference,[],[155,133,108,109,111,112,113,115,117,118,119,120,290,292,350,351,154,128,134,360,366,229,284,145,329,734,737,740,743,804,807,846,857,870,873,885,1218,1221,1224,149,769,772,787,148,147,863,319,138,218,888,895,197,853,169,150,160,161,901,126,325,165,810,813,816,826,876,879,889,367,368,369,359,892,1162,352,354,201,281,757,766,823,831,882,364,365,234,280,850,907,361,746,749,754,363,241,2,416,20,400,565,479,420,419,687,682,613,612,602,598,595,559,557,556,555,536,535,534,533,532,531,524,511,500,497,492,491,464,436,424,423,649,626,562,496,495,607,603,575,571,545,538,478,97,96,91,90,88,3,485,708,457,701,552,551,596,508,426,425,659,640,572,702,592,543,645,558,570,581,700,710,685,703,705,722,399,398,442,441,440,439,405,404,401,386,385,384,383,382,381,380,379,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,697,668,623,609,599,584,579,578,520,516,505,490,489,475,449,448,447,446,445,444,443,428,427,413,412,407,406,403,402,397,396,395,394,393,392,391,390,389,388,387,378,377,376,476,463,462,461,486,473,472,471,470,468,467,466,431,411,410,699,692,686,673,671,670,669,627,606,605,604,548,546,530,528,527,523,522,521,515,514,513,512,506,494,493,477,460,459,458,455,454,409,408,643,653,591,590])).
% 31.50/31.54 cnf(1241,plain,
% 31.50/31.54 (~E(a47,x12411)+P11(x12411)),
% 31.50/31.54 inference(scs_inference,[],[155,133,108,109,111,112,113,115,117,118,119,120,122,290,292,350,351,154,128,134,360,366,229,284,145,329,734,737,740,743,804,807,846,857,870,873,885,1218,1221,1224,149,769,772,787,148,147,863,319,138,218,888,895,197,853,169,150,160,161,901,126,325,165,810,813,816,826,876,879,889,367,368,369,359,892,1162,352,354,201,281,757,766,823,831,882,364,365,234,280,850,907,361,746,749,754,363,241,2,416,20,400,565,479,420,419,687,682,613,612,602,598,595,559,557,556,555,536,535,534,533,532,531,524,511,500,497,492,491,464,436,424,423,649,626,562,496,495,607,603,575,571,545,538,478,97,96,91,90,88,3,485,708,457,701,552,551,596,508,426,425,659,640,572,702,592,543,645,558,570,581,700,710,685,703,705,722,399,398,442,441,440,439,405,404,401,386,385,384,383,382,381,380,379,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,697,668,623,609,599,584,579,578,520,516,505,490,489,475,449,448,447,446,445,444,443,428,427,413,412,407,406,403,402,397,396,395,394,393,392,391,390,389,388,387,378,377,376,476,463,462,461,486,473,472,471,470,468,467,466,431,411,410,699,692,686,673,671,670,669,627,606,605,604,548,546,530,528,527,523,522,521,515,514,513,512,506,494,493,477,460,459,458,455,454,409,408,643,653,591,590,574,632,107])).
% 31.50/31.54 cnf(1393,plain,
% 31.50/31.54 (~P14(f39(f25(f32(a24,a51),x13931),f26(f3(f9(a16,a50))),a45))),
% 31.50/31.54 inference(scs_inference,[],[1180,561])).
% 31.50/31.54 cnf(1397,plain,
% 31.50/31.54 (P14(f32(f40(a38,f40(a37,x13971,x13972),x13973),x13974))),
% 31.50/31.54 inference(scs_inference,[],[197,1205,1180,561,560,429])).
% 31.50/31.54 cnf(1402,plain,
% 31.50/31.54 (~E(f14(x14021,x14022,x14023),x14022)),
% 31.50/31.54 inference(rename_variables,[],[329])).
% 31.50/31.54 cnf(1405,plain,
% 31.50/31.54 (~E(f14(x14051,x14052,x14053),x14052)),
% 31.50/31.54 inference(rename_variables,[],[329])).
% 31.50/31.54 cnf(1409,plain,
% 31.50/31.54 (P14(f39(x14091,f2(f9(a16,f5(x14092,f14(f12(a17,x14093,f22(f32(a34,x14093),f25(x14094,f25(x14095,f25(x14091,x14096))))),x14097,a29),a29))),a45))),
% 31.50/31.54 inference(scs_inference,[],[155,329,1402,281,197,1205,859,1180,917,561,560,429,718,717,469,687])).
% 31.50/31.54 cnf(1410,plain,
% 31.50/31.54 (P14(f39(x14101,f15(f5(x14102,f14(x14101,x14103,x14104),x14104),x14104),x14104))),
% 31.50/31.54 inference(rename_variables,[],[281])).
% 31.50/31.54 cnf(1412,plain,
% 31.50/31.54 (P14(f39(x14121,f2(f9(a16,f5(x14122,f14(f12(x14123,x14124,f22(x14125,f25(x14126,f25(x14127,f25(x14128,x14121))))),x14129,a29),a29))),a45))),
% 31.50/31.54 inference(scs_inference,[],[155,329,1402,281,1410,197,1205,859,1180,917,561,560,429,718,717,469,687,682])).
% 31.50/31.54 cnf(1413,plain,
% 31.50/31.54 (P14(f39(x14131,f15(f5(x14132,f14(x14131,x14133,x14134),x14134),x14134),x14134))),
% 31.50/31.54 inference(rename_variables,[],[281])).
% 31.50/31.54 cnf(1415,plain,
% 31.50/31.54 (P14(f39(x14151,f3(f9(a16,f5(x14152,f14(f12(x14153,x14154,x14151),x14155,a29),a29))),a45))),
% 31.50/31.54 inference(scs_inference,[],[155,329,1402,281,1410,1413,197,1205,859,1180,917,561,560,429,718,717,469,687,682,613])).
% 31.50/31.54 cnf(1416,plain,
% 31.50/31.54 (P14(f39(x14161,f15(f5(x14162,f14(x14161,x14163,x14164),x14164),x14164),x14164))),
% 31.50/31.54 inference(rename_variables,[],[281])).
% 31.50/31.54 cnf(1418,plain,
% 31.50/31.54 (P14(f39(x14181,f2(f9(a16,f5(x14182,f14(f12(x14183,x14184,x14181),x14185,a29),a29))),a45))),
% 31.50/31.54 inference(scs_inference,[],[155,329,1402,281,1410,1413,1416,197,1205,859,1180,917,561,560,429,718,717,469,687,682,613,612])).
% 31.50/31.54 cnf(1419,plain,
% 31.50/31.54 (P14(f39(x14191,f15(f5(x14192,f14(x14191,x14193,x14194),x14194),x14194),x14194))),
% 31.50/31.54 inference(rename_variables,[],[281])).
% 31.50/31.54 cnf(1423,plain,
% 31.50/31.54 (P14(f39(x14231,f7(f5(x14232,f14(f11(x14233,f25(x14234,x14231)),x14235,a29),a29)),a45))),
% 31.50/31.54 inference(scs_inference,[],[155,356,329,1402,281,1410,1413,1416,197,1205,859,1180,765,917,561,560,429,718,717,469,687,682,613,612,602,535])).
% 31.50/31.54 cnf(1424,plain,
% 31.50/31.54 (P14(f39(x14241,f7(f5(x14242,f14(f11(x14243,x14241),x14244,a29),a29)),a45))),
% 31.50/31.54 inference(rename_variables,[],[765])).
% 31.50/31.54 cnf(1426,plain,
% 31.50/31.54 (P14(f39(f32(a24,f32(f36(x14261),x14262)),f2(f9(a16,x14263)),a45))),
% 31.50/31.54 inference(scs_inference,[],[155,356,329,1402,281,1410,1413,1416,197,241,1205,859,1180,765,917,561,560,429,718,717,469,687,682,613,612,602,535,500])).
% 31.50/31.54 cnf(1428,plain,
% 31.50/31.54 (~P14(f32(a27,f32(f36(x14281),x14282)))),
% 31.50/31.54 inference(scs_inference,[],[155,355,356,329,1402,281,1410,1413,1416,197,241,1205,859,1180,765,917,561,560,429,718,717,469,687,682,613,612,602,535,500,436])).
% 31.50/31.54 cnf(1431,plain,
% 31.50/31.54 (P6(x14311,f6(x14312,x14311,f48(x14313,a1)),f48(x14313,a1))),
% 31.50/31.54 inference(rename_variables,[],[192])).
% 31.50/31.54 cnf(1441,plain,
% 31.50/31.54 (P14(f39(f32(a24,f32(a34,a16)),f3(f9(a16,a50)),a45))),
% 31.50/31.54 inference(scs_inference,[],[155,333,192,355,356,351,329,1402,281,1410,1413,1416,197,241,154,1205,859,1180,765,917,561,560,429,718,717,469,687,682,613,612,602,535,500,436,538,708,620,619,617,601])).
% 31.50/31.54 cnf(1443,plain,
% 31.50/31.54 (~P6(f14(x14431,f33(a1),x14432),f33(a1),a1)),
% 31.50/31.54 inference(scs_inference,[],[155,333,192,355,356,351,329,1402,281,1410,1413,1416,197,241,154,113,1205,859,1180,765,917,869,561,560,429,718,717,469,687,682,613,612,602,535,500,436,538,708,620,619,617,601,433])).
% 31.50/31.54 cnf(1446,plain,
% 31.50/31.54 (P14(f39(f14(f12(x14461,a17,f25(f21(x14461),f25(f21(x14462),f23(x14463)))),f4(a29),a29),a31,f44(a29)))),
% 31.50/31.54 inference(scs_inference,[],[155,156,333,192,355,353,356,351,329,1402,281,1410,1413,1416,197,241,154,113,1205,859,1180,765,917,869,561,560,429,718,717,469,687,682,613,612,602,535,500,436,538,708,620,619,617,601,433,676])).
% 31.50/31.54 cnf(1448,plain,
% 31.50/31.54 (P6(f3(f6(x14481,x14482,f48(a45,a1))),f3(f6(f3(x14481),x14482,f48(a45,a1))),f48(a45,a1))),
% 31.50/31.54 inference(scs_inference,[],[155,156,333,192,355,353,356,351,329,1402,281,1410,1413,1416,145,197,148,241,154,113,1205,859,1180,765,917,869,561,560,429,718,717,469,687,682,613,612,602,535,500,436,538,708,620,619,617,601,433,676,630])).
% 31.50/31.54 cnf(1453,plain,
% 31.50/31.54 (P14(f39(x14531,f35(f48(x14532,a1)),x14532))),
% 31.50/31.54 inference(rename_variables,[],[188])).
% 31.50/31.54 cnf(1456,plain,
% 31.50/31.54 (P14(f39(x14561,f15(f5(x14562,f14(x14561,x14563,x14564),x14564),x14564),x14564))),
% 31.50/31.54 inference(rename_variables,[],[281])).
% 31.50/31.54 cnf(1457,plain,
% 31.50/31.54 (~E(f19(x14571),f22(x14572,x14573))),
% 31.50/31.54 inference(rename_variables,[],[305])).
% 31.50/31.54 cnf(1462,plain,
% 31.50/31.54 (P14(f39(f22(a51,f25(f23(a54),f23(a54))),f2(f40(x14621,f9(a16,a50),a45)),a45))),
% 31.50/31.54 inference(rename_variables,[],[1176])).
% 31.50/31.54 cnf(1463,plain,
% 31.50/31.54 (P14(f39(f21(x14631),f26(x14632),a45))),
% 31.50/31.54 inference(rename_variables,[],[165])).
% 31.50/31.54 cnf(1466,plain,
% 31.50/31.54 (P6(x14661,f6(x14662,x14661,f48(x14663,a1)),f48(x14663,a1))),
% 31.50/31.54 inference(rename_variables,[],[192])).
% 31.50/31.54 cnf(1472,plain,
% 31.50/31.54 (P6(x14721,f6(x14722,x14721,f48(x14723,a1)),f48(x14723,a1))),
% 31.50/31.54 inference(rename_variables,[],[192])).
% 31.50/31.54 cnf(1476,plain,
% 31.50/31.54 (~P14(f39(f22(x14761,f23(x14762)),f26(f26(f41(a24,x14763,a47,a45))),a45))),
% 31.50/31.54 inference(scs_inference,[],[155,156,333,305,336,192,1431,1466,1472,188,355,353,356,351,329,1402,165,281,1410,1413,1416,1419,169,145,197,148,241,154,113,1205,859,1180,1188,765,903,1176,865,917,1235,869,561,560,429,718,717,469,687,682,613,612,602,535,500,436,538,708,620,619,617,601,433,676,630,577,702,567,660,645,636,570,594,581])).
% 31.50/31.54 cnf(1479,plain,
% 31.50/31.54 (~P6(f9(a16,a50),f9(x14791,f4(a29)),f48(a45,a1))),
% 31.50/31.54 inference(scs_inference,[],[155,156,333,305,336,192,1431,1466,1472,188,355,353,356,351,329,1402,147,165,281,1410,1413,1416,1419,169,145,197,148,241,154,113,1205,859,1180,1188,765,903,1176,865,917,939,1235,869,561,560,429,718,717,469,687,682,613,612,602,535,500,436,538,708,620,619,617,601,433,676,630,577,702,567,660,645,636,570,594,581,481])).
% 31.50/31.54 cnf(1480,plain,
% 31.50/31.54 (P6(x14801,f2(x14801),f48(a45,a1))),
% 31.50/31.54 inference(rename_variables,[],[147])).
% 31.50/31.54 cnf(1485,plain,
% 31.50/31.54 (P10(f48(x14851,a1))),
% 31.50/31.54 inference(rename_variables,[],[943])).
% 31.50/31.54 cnf(1488,plain,
% 31.50/31.54 (P6(x14881,f6(x14881,x14882,f48(x14883,a1)),f48(x14883,a1))),
% 31.50/31.54 inference(rename_variables,[],[193])).
% 31.50/31.54 cnf(1489,plain,
% 31.50/31.54 (P6(x14891,f6(x14892,x14891,f48(x14893,a1)),f48(x14893,a1))),
% 31.50/31.54 inference(rename_variables,[],[192])).
% 31.50/31.54 cnf(1497,plain,
% 31.50/31.54 (~P6(f6(f9(a16,a50),x14971,f48(a45,a1)),f2(f9(x14972,f4(a29))),f48(a45,a1))),
% 31.50/31.54 inference(scs_inference,[],[155,156,333,298,305,336,192,1431,1466,1472,193,188,355,353,356,351,329,1402,147,161,165,281,1410,1413,1416,1419,169,145,197,148,241,154,113,1205,859,894,1180,1188,765,903,1176,849,865,917,939,943,947,1235,869,561,560,429,718,717,469,687,682,613,612,602,535,500,436,538,708,620,619,617,601,433,676,630,577,702,567,660,645,636,570,594,581,481,480,519,719,721,556])).
% 31.50/31.54 cnf(1499,plain,
% 31.50/31.54 (P14(f39(x14991,f3(f9(a16,f5(x14992,f14(f12(x14993,x14994,f25(x14995,x14991)),x14996,a29),a29))),a45))),
% 31.50/31.54 inference(scs_inference,[],[155,156,333,298,305,336,192,1431,1466,1472,193,188,355,353,356,351,329,1402,147,161,165,281,1410,1413,1416,1419,169,145,197,148,241,154,113,1205,859,894,1180,1188,765,903,1176,849,865,917,939,943,947,1235,869,561,560,429,718,717,469,687,682,613,612,602,535,500,436,538,708,620,619,617,601,433,676,630,577,702,567,660,645,636,570,594,581,481,480,519,719,721,556,533])).
% 31.50/31.54 cnf(1501,plain,
% 31.50/31.54 (P14(f39(f23(a54),f2(f9(a16,a50)),a45))),
% 31.50/31.54 inference(scs_inference,[],[155,156,333,298,305,336,192,1431,1466,1472,193,188,355,353,356,351,329,1402,147,161,165,281,1410,1413,1416,1419,169,145,197,148,241,154,113,1205,859,894,1180,1188,765,903,1176,849,865,917,1182,939,943,947,1235,869,561,560,429,718,717,469,687,682,613,612,602,535,500,436,538,708,620,619,617,601,433,676,630,577,702,567,660,645,636,570,594,581,481,480,519,719,721,556,533,531])).
% 31.50/31.54 cnf(1505,plain,
% 31.50/31.54 (P14(f39(x15051,f2(f35(f48(a45,a1))),a45))),
% 31.50/31.54 inference(scs_inference,[],[155,156,333,298,305,336,192,1431,1466,1472,193,188,1453,355,353,356,351,329,1402,147,161,165,281,1410,1413,1416,1419,169,145,197,148,241,154,113,1205,859,894,1180,1188,765,903,1176,849,865,917,1182,939,943,947,1235,869,561,560,429,718,717,469,687,682,613,612,602,535,500,436,538,708,620,619,617,601,433,676,630,577,702,567,660,645,636,570,594,581,481,480,519,719,721,556,533,531,524,491])).
% 31.50/31.54 cnf(1506,plain,
% 31.50/31.54 (P14(f39(x15061,f35(f48(x15062,a1)),x15062))),
% 31.50/31.54 inference(rename_variables,[],[188])).
% 31.50/31.54 cnf(1510,plain,
% 31.50/31.54 (P14(f39(f25(f22(x15101,f21(x15102)),f22(x15101,f21(x15102))),f26(f40(f32(a24,x15101),x15103,a45)),a45))),
% 31.50/31.54 inference(scs_inference,[],[155,156,333,298,305,336,192,1431,1466,1472,193,188,1453,355,353,356,351,329,1402,147,161,165,281,1410,1413,1416,1419,169,145,197,148,241,154,113,1205,859,894,1180,1188,765,887,903,1176,849,865,917,1182,939,943,947,1235,869,561,560,429,718,717,469,687,682,613,612,602,535,500,436,538,708,620,619,617,601,433,676,630,577,702,567,660,645,636,570,594,581,481,480,519,719,721,556,533,531,524,491,464,580])).
% 31.50/31.54 cnf(1517,plain,
% 31.50/31.54 (~P14(f39(f23(f42(x15171)),f2(f9(a16,x15171)),a45))),
% 31.50/31.54 inference(scs_inference,[],[155,156,333,298,305,336,192,1431,1466,1472,193,188,1453,355,353,356,351,329,1402,147,161,165,281,1410,1413,1416,1419,169,145,197,354,148,241,154,113,1205,859,894,1180,1188,765,887,903,1176,849,906,865,917,1182,939,943,947,1235,869,561,560,429,718,717,469,687,682,613,612,602,535,500,436,538,708,620,619,617,601,433,676,630,577,702,567,660,645,636,570,594,581,481,480,519,719,721,556,533,531,524,491,464,580,530,2,470,559])).
% 31.50/31.54 cnf(1521,plain,
% 31.50/31.54 (P14(f39(x15211,f7(f5(x15212,f14(f11(x15213,f25(x15211,x15214)),x15215,a29),a29)),a45))),
% 31.50/31.54 inference(scs_inference,[],[155,156,333,298,305,336,192,1431,1466,1472,193,188,1453,355,353,356,351,329,1402,147,161,165,281,1410,1413,1416,1419,169,145,197,354,148,241,154,113,1205,859,894,1180,1188,765,1424,887,903,1176,849,906,865,917,1182,939,943,947,1235,869,561,560,429,718,717,469,687,682,613,612,602,535,500,436,538,708,620,619,617,601,433,676,630,577,702,567,660,645,636,570,594,581,481,480,519,719,721,556,533,531,524,491,464,580,530,2,470,559,557,536])).
% 31.50/31.54 cnf(1525,plain,
% 31.50/31.54 (P14(f39(x15251,f35(f48(x15252,a1)),x15252))),
% 31.50/31.54 inference(rename_variables,[],[188])).
% 31.50/31.54 cnf(1527,plain,
% 31.50/31.54 (~P3(f6(a38,a38,f48(x15271,a1)),a37,x15272)),
% 31.50/31.54 inference(scs_inference,[],[155,727,156,333,298,305,336,192,1431,1466,1472,193,188,1453,1506,355,353,356,146,351,329,1402,147,161,165,281,1410,1413,1416,1419,169,145,197,354,148,241,154,113,1205,859,894,1180,1188,765,1424,887,903,1176,849,906,865,917,1182,939,943,947,1235,869,561,560,429,718,717,469,687,682,613,612,602,535,500,436,538,708,620,619,617,601,433,676,630,577,702,567,660,645,636,570,594,581,481,480,519,719,721,556,533,531,524,491,464,580,530,2,470,559,557,536,492,97])).
% 31.50/31.54 cnf(1529,plain,
% 31.50/31.54 (E(f32(a18,f32(a18,x15291)),x15291)),
% 31.50/31.54 inference(rename_variables,[],[129])).
% 31.50/31.54 cnf(1532,plain,
% 31.50/31.54 (P6(x15321,f6(x15322,x15321,f48(x15323,a1)),f48(x15323,a1))),
% 31.50/31.54 inference(rename_variables,[],[192])).
% 31.50/31.54 cnf(1536,plain,
% 31.50/31.54 (~P6(f14(x15361,f33(f48(x15362,a1)),x15363),f33(f48(x15362,a1)),f48(x15362,a1))),
% 31.50/31.54 inference(rename_variables,[],[736])).
% 31.50/31.54 cnf(1539,plain,
% 31.50/31.54 (P9(f48(x15391,a1))),
% 31.50/31.54 inference(rename_variables,[],[947])).
% 31.50/31.54 cnf(1543,plain,
% 31.50/31.54 (P6(f32(x15431,x15432),f32(f6(x15433,x15431,f48(x15434,a1)),x15432),a1)),
% 31.50/31.54 inference(scs_inference,[],[155,727,156,333,298,305,336,192,1431,1466,1472,1489,1532,193,188,1453,1506,355,353,356,146,129,351,329,1402,147,161,165,281,1410,1413,1416,1419,115,169,145,197,354,148,241,154,113,1205,859,736,1217,894,1180,1188,765,1424,887,903,1176,849,906,865,917,1182,939,943,947,1235,869,561,560,429,718,717,469,687,682,613,612,602,535,500,436,538,708,620,619,617,601,433,676,630,577,702,567,660,645,636,570,594,581,481,480,519,719,721,556,533,531,524,491,464,580,530,2,470,559,557,536,492,97,92,88,485,504,502,600,483])).
% 31.50/31.54 cnf(1548,plain,
% 31.50/31.54 (P14(f39(x15481,f3(f9(a16,f5(x15482,f14(f12(x15483,x15484,f25(x15485,f22(f32(a34,a16),x15481))),x15486,a29),a29))),a45))),
% 31.50/31.54 inference(scs_inference,[],[155,727,156,333,298,305,336,192,1431,1466,1472,1489,1532,193,326,188,1453,1506,355,353,356,146,129,351,329,1402,147,161,165,281,1410,1413,1416,1419,1456,115,169,145,197,354,148,241,154,113,1205,859,736,1217,894,1180,1188,765,1424,887,903,1176,849,906,865,917,1182,939,943,947,1235,869,561,560,429,718,717,469,687,682,613,612,602,535,500,436,538,708,620,619,617,601,433,676,630,577,702,567,660,645,636,570,594,581,481,480,519,719,721,556,533,531,524,491,464,580,530,2,470,559,557,536,492,97,92,88,485,504,502,600,483,701,628])).
% 31.50/31.54 cnf(1551,plain,
% 31.50/31.54 (P6(x15511,f6(x15512,x15511,f48(x15513,a1)),f48(x15513,a1))),
% 31.50/31.54 inference(rename_variables,[],[192])).
% 31.50/31.54 cnf(1553,plain,
% 31.50/31.54 (P14(f30(f14(f12(x15531,a17,f25(f21(x15531),f25(f21(x15532),f23(x15533)))),f4(a29),a29)))),
% 31.50/31.54 inference(scs_inference,[],[155,727,156,333,298,305,336,192,1431,1466,1472,1489,1532,193,1488,326,188,1453,1506,355,353,356,146,129,351,329,1402,147,161,165,281,1410,1413,1416,1419,1456,115,128,169,145,197,354,148,241,154,113,1205,859,736,1217,894,1180,1188,765,1424,887,903,1176,849,906,865,917,1182,939,943,947,1235,869,561,560,429,718,717,469,687,682,613,612,602,535,500,436,538,708,620,619,617,601,433,676,630,577,702,567,660,645,636,570,594,581,481,480,519,719,721,556,533,531,524,491,464,580,530,2,470,559,557,536,492,97,92,88,485,504,502,600,483,701,628,508,672])).
% 31.50/31.54 cnf(1560,plain,
% 31.50/31.54 (~E(f14(x15601,x15602,x15603),x15602)),
% 31.50/31.54 inference(rename_variables,[],[329])).
% 31.50/31.54 cnf(1562,plain,
% 31.50/31.54 (~P14(f39(f23(x15621),f2(f6(f9(x15622,f4(a29)),f9(x15622,f4(a29)),f48(a45,a1))),a45))),
% 31.50/31.54 inference(scs_inference,[],[155,727,156,333,298,305,336,192,1431,1466,1472,1489,1532,193,1488,326,188,1453,1506,355,353,356,146,129,351,329,1402,1405,147,161,165,281,1410,1413,1416,1419,1456,361,115,128,169,145,284,197,354,148,241,154,113,1205,859,736,1217,894,1180,1188,765,1424,887,797,903,1176,1462,849,906,865,917,1182,939,943,947,1235,869,561,560,429,718,717,469,687,682,613,612,602,535,500,436,538,708,620,619,617,601,433,676,630,577,702,567,660,645,636,570,594,581,481,480,519,719,721,556,533,531,524,491,464,580,530,2,470,559,557,536,492,97,92,88,485,504,502,600,483,701,628,508,672,664,572,654])).
% 31.50/31.54 cnf(1564,plain,
% 31.50/31.54 (~P14(f39(f22(f32(a34,a16),f32(a24,a51)),f3(f9(a16,a50)),a45))),
% 31.50/31.54 inference(scs_inference,[],[155,727,156,333,298,305,336,192,1431,1466,1472,1489,1532,193,1488,326,188,1453,1506,355,353,356,146,129,351,329,1402,1405,147,161,165,281,1410,1413,1416,1419,1456,361,115,128,169,145,284,197,354,148,241,154,113,360,1205,859,736,1217,894,1180,1188,765,1424,887,797,903,1176,1462,849,906,865,917,1182,939,943,947,1235,869,561,560,429,718,717,469,687,682,613,612,602,535,500,436,538,708,620,619,617,601,433,676,630,577,702,567,660,645,636,570,594,581,481,480,519,719,721,556,533,531,524,491,464,580,530,2,470,559,557,536,492,97,92,88,485,504,502,600,483,701,628,508,672,664,572,654,629])).
% 31.50/31.54 cnf(1569,plain,
% 31.50/31.54 (~P14(f39(f22(x15691,x15692),f9(x15693,f4(a29)),a45))),
% 31.50/31.54 inference(scs_inference,[],[155,727,156,333,298,305,336,192,1431,1466,1472,1489,1532,193,1488,326,188,1453,1506,355,353,356,146,129,351,329,1402,1405,147,1480,161,165,281,1410,1413,1416,1419,1456,361,363,115,128,169,364,145,284,197,354,148,241,154,113,360,1205,859,736,1217,894,1180,1188,765,1424,887,797,903,1176,1462,849,906,865,917,1182,939,943,947,1235,869,561,560,429,718,717,469,687,682,613,612,602,535,500,436,538,708,620,619,617,601,433,676,630,577,702,567,660,645,636,570,594,581,481,480,519,719,721,556,533,531,524,491,464,580,530,2,470,559,557,536,492,97,92,88,485,504,502,600,483,701,628,508,672,664,572,654,629,593,543])).
% 31.50/31.54 cnf(1575,plain,
% 31.50/31.54 (P14(f39(f32(x15751,x15752),f41(x15751,f35(f48(x15753,a1)),x15753,x15754),x15754))),
% 31.50/31.54 inference(rename_variables,[],[280])).
% 31.50/31.54 cnf(1577,plain,
% 31.50/31.54 (~P14(f39(f32(a24,a51),f3(f40(f21(x15771),f9(a16,a50),a45)),a45))),
% 31.50/31.54 inference(scs_inference,[],[155,727,156,333,298,305,336,192,1431,1466,1472,1489,1532,193,1488,326,188,1453,1506,355,167,353,356,146,129,351,329,1402,1405,147,1480,161,165,1463,281,1410,1413,1416,1419,1456,280,361,363,115,128,169,364,145,284,197,354,148,241,154,113,360,1205,859,736,1217,894,1180,1188,765,1424,887,797,903,1176,1462,849,906,865,917,1182,939,943,947,1235,869,561,560,429,718,717,469,687,682,613,612,602,535,500,436,538,708,620,619,617,601,433,676,630,577,702,567,660,645,636,570,594,581,481,480,519,719,721,556,533,531,524,491,464,580,530,2,470,559,557,536,492,97,92,88,485,504,502,600,483,701,628,508,672,664,572,654,629,593,543,625,700,658])).
% 31.50/31.54 cnf(1579,plain,
% 31.50/31.54 (P14(f39(f21(x15791),f26(x15792),a45))),
% 31.50/31.54 inference(rename_variables,[],[165])).
% 31.50/31.54 cnf(1581,plain,
% 31.50/31.54 (~P14(f39(f12(x15811,x15812,f22(f32(a34,x15812),f25(f23(x15813),f25(f21(x15814),f25(f32(a24,f32(a34,x15815)),f25(f32(a24,a51),x15816)))))),f15(a50,a29),a29))),
% 31.50/31.54 inference(scs_inference,[],[155,727,156,333,298,305,336,192,1431,1466,1472,1489,1532,193,1488,326,188,1453,1506,355,167,353,356,146,129,351,329,1402,1405,147,1480,161,165,1463,281,1410,1413,1416,1419,1456,280,1575,361,363,115,128,169,364,145,284,197,354,148,241,154,113,360,1205,859,736,1217,894,1180,1188,765,1424,887,778,797,903,1176,1462,849,906,865,917,1182,939,943,947,1235,869,561,560,429,718,717,469,687,682,613,612,602,535,500,436,538,708,620,619,617,601,433,676,630,577,702,567,660,645,636,570,594,581,481,480,519,719,721,556,533,531,524,491,464,580,530,2,470,559,557,536,492,97,92,88,485,504,502,600,483,701,628,508,672,664,572,654,629,593,543,625,700,658,710])).
% 31.50/31.54 cnf(1585,plain,
% 31.50/31.54 (~E(f14(x15851,x15852,x15853),x15852)),
% 31.50/31.54 inference(rename_variables,[],[329])).
% 31.50/31.54 cnf(1599,plain,
% 31.50/31.54 (E(f32(a18,f32(a18,x15991)),x15991)),
% 31.50/31.54 inference(rename_variables,[],[129])).
% 31.50/31.54 cnf(1603,plain,
% 31.50/31.54 (P6(x16031,f6(x16032,x16031,f48(x16033,a1)),f48(x16033,a1))),
% 31.50/31.54 inference(rename_variables,[],[192])).
% 31.50/31.54 cnf(1607,plain,
% 31.50/31.54 (~P6(f9(a16,x16071),f3(f33(f48(a45,a1))),f48(a45,a1))),
% 31.50/31.54 inference(scs_inference,[],[155,727,156,333,298,305,1457,336,192,1431,1466,1472,1489,1532,1551,193,1488,326,188,1453,1506,355,167,353,356,146,129,1529,205,351,329,1402,1405,1560,147,1480,161,165,1463,281,1410,1413,1416,1419,1456,280,1575,361,363,115,128,169,364,145,284,197,354,148,241,154,113,360,1205,859,736,1536,1217,894,914,1180,1188,765,1424,887,778,791,797,903,1176,1462,849,906,865,917,1182,939,943,947,1539,1235,1157,869,561,560,429,718,717,469,687,682,613,612,602,535,500,436,538,708,620,619,617,601,433,676,630,577,702,567,660,645,636,570,594,581,481,480,519,719,721,556,533,531,524,491,464,580,530,2,470,559,557,536,492,97,92,88,485,504,502,600,483,701,628,508,672,664,572,654,629,593,543,625,700,658,710,720,685,705,32,671,555,91,618,434,509,553])).
% 31.50/31.54 cnf(1608,plain,
% 31.50/31.54 (~P14(f39(x16081,f3(f33(f48(a45,a1))),a45))),
% 31.50/31.54 inference(rename_variables,[],[791])).
% 31.50/31.54 cnf(1612,plain,
% 31.50/31.54 (~P6(f9(a16,a50),f40(f32(a24,a51),f2(f9(x16121,f4(a29))),a45),f48(a45,a1))),
% 31.50/31.54 inference(scs_inference,[],[155,727,156,333,298,305,1457,336,192,1431,1466,1472,1489,1532,1551,193,1488,326,188,1453,1506,355,167,353,356,146,129,1529,205,351,329,1402,1405,1560,147,1480,161,165,1463,281,1410,1413,1416,1419,1456,280,1575,361,363,115,128,169,364,145,284,197,354,148,241,154,113,360,1205,859,736,1536,1217,894,914,1180,1188,765,1424,887,778,791,797,903,1176,1462,849,906,865,917,795,1182,939,943,947,1539,1235,1157,869,561,560,429,718,717,469,687,682,613,612,602,535,500,436,538,708,620,619,617,601,433,676,630,577,702,567,660,645,636,570,594,581,481,480,519,719,721,556,533,531,524,491,464,580,530,2,470,559,557,536,492,97,92,88,485,504,502,600,483,701,628,508,672,664,572,654,629,593,543,625,700,658,710,720,685,705,32,671,555,91,618,434,509,553,534,569])).
% 31.50/31.54 cnf(1615,plain,
% 31.50/31.54 (~P6(f32(a18,f32(a18,f9(a16,a50))),f2(f9(x16151,f4(a29))),f48(a45,a1))),
% 31.50/31.54 inference(scs_inference,[],[155,726,727,156,333,298,305,1457,336,192,1431,1466,1472,1489,1532,1551,193,1488,326,188,1453,1506,355,167,353,356,146,129,1529,1599,205,351,329,1402,1405,1560,147,1480,161,165,1463,281,1410,1413,1416,1419,1456,280,1575,361,363,115,128,169,364,145,284,197,354,148,241,154,113,360,1205,859,736,1536,1217,894,914,1180,1188,765,1424,887,778,791,797,903,1176,1462,849,906,865,917,795,1182,939,943,947,1539,1235,1157,869,561,560,429,718,717,469,687,682,613,612,602,535,500,436,538,708,620,619,617,601,433,676,630,577,702,567,660,645,636,570,594,581,481,480,519,719,721,556,533,531,524,491,464,580,530,2,470,559,557,536,492,97,92,88,485,504,502,600,483,701,628,508,672,664,572,654,629,593,543,625,700,658,710,720,685,705,32,671,555,91,618,434,509,553,534,569,20,90])).
% 31.50/31.54 cnf(1623,plain,
% 31.50/31.54 (P4(f40(f25(x16231,x16232),x16233,x16234),x16231)),
% 31.50/31.54 inference(scs_inference,[],[155,726,727,156,333,298,305,1457,336,192,1431,1466,1472,1489,1532,1551,193,1488,326,188,1453,1506,355,167,353,356,146,129,1529,1599,213,205,133,351,329,1402,1405,1560,147,1480,161,165,1463,281,1410,1413,1416,1419,1456,280,1575,361,363,115,128,169,364,145,284,197,354,148,241,154,113,360,731,1205,1062,859,736,1536,1217,894,914,1180,1188,765,1424,887,778,791,797,903,1176,1462,849,906,865,917,795,1182,939,943,947,1539,1235,1157,869,561,560,429,718,717,469,687,682,613,612,602,535,500,436,538,708,620,619,617,601,433,676,630,577,702,567,660,645,636,570,594,581,481,480,519,719,721,556,533,531,524,491,464,580,530,2,470,559,557,536,492,97,92,88,485,504,502,600,483,701,628,508,672,664,572,654,629,593,543,625,700,658,710,720,685,705,32,671,555,91,618,434,509,553,534,569,20,90,3,14,98,415])).
% 31.50/31.54 cnf(1625,plain,
% 31.50/31.54 (P4(f40(f25(x16251,x16252),x16253,x16254),x16252)),
% 31.50/31.54 inference(scs_inference,[],[155,726,727,156,333,298,305,1457,336,192,1431,1466,1472,1489,1532,1551,193,1488,326,188,1453,1506,355,167,353,356,146,129,1529,1599,213,205,133,351,329,1402,1405,1560,147,1480,161,165,1463,281,1410,1413,1416,1419,1456,280,1575,361,363,115,128,169,364,145,284,197,354,148,241,154,113,360,731,1205,1062,859,736,1536,1217,894,914,1180,1188,765,1424,887,778,791,797,903,1176,1462,849,906,865,917,795,1182,939,943,947,1539,1235,1157,869,561,560,429,718,717,469,687,682,613,612,602,535,500,436,538,708,620,619,617,601,433,676,630,577,702,567,660,645,636,570,594,581,481,480,519,719,721,556,533,531,524,491,464,580,530,2,470,559,557,536,492,97,92,88,485,504,502,600,483,701,628,508,672,664,572,654,629,593,543,625,700,658,710,720,685,705,32,671,555,91,618,434,509,553,534,569,20,90,3,14,98,415,414])).
% 31.50/31.54 cnf(1635,plain,
% 31.50/31.54 (P4(f40(f25(f22(x16351,x16352),f32(a24,f32(a18,x16351))),x16353,x16354),x16352)),
% 31.50/31.54 inference(scs_inference,[],[155,726,727,156,333,298,305,1457,336,192,1431,1466,1472,1489,1532,1551,1603,193,1488,346,326,188,1453,1506,355,167,353,356,146,129,1529,1599,213,205,133,351,329,1402,1405,1560,147,1480,161,165,1463,281,1410,1413,1416,1419,1456,280,1575,361,363,115,128,169,364,145,119,284,197,354,148,241,154,113,360,731,1205,799,1062,859,736,1536,1217,894,914,1180,1188,765,1424,887,778,791,797,1040,903,1176,1462,849,906,865,917,795,1182,939,943,947,1539,1235,1157,869,561,560,429,718,717,469,687,682,613,612,602,535,500,436,538,708,620,619,617,601,433,676,630,577,702,567,660,645,636,570,594,581,481,480,519,719,721,556,533,531,524,491,464,580,530,2,470,559,557,536,492,97,92,88,485,504,502,600,483,701,628,508,672,664,572,654,629,593,543,625,700,658,710,720,685,705,32,671,555,91,618,434,509,553,534,569,20,90,3,14,98,415,414,102,537,488,465])).
% 31.50/31.54 cnf(1637,plain,
% 31.50/31.54 (~P14(f39(f23(x16371),f2(f6(f2(f9(x16372,f4(a29))),f2(f9(x16372,f4(a29))),f48(a45,a1))),a45))),
% 31.50/31.54 inference(scs_inference,[],[155,726,727,156,333,298,305,1457,336,192,1431,1466,1472,1489,1532,1551,1603,193,1488,346,326,188,1453,1506,355,167,353,356,258,146,129,1529,1599,213,205,133,351,329,1402,1405,1560,147,1480,161,165,1463,281,1410,1413,1416,1419,1456,280,1575,361,363,115,128,169,364,145,119,284,197,354,148,241,154,113,360,731,1205,799,1062,859,736,1536,1217,894,914,1180,1188,765,1424,887,778,791,797,1040,903,1176,1462,849,906,865,917,795,1182,939,943,947,1539,1235,1157,869,561,560,429,718,717,469,687,682,613,612,602,535,500,436,538,708,620,619,617,601,433,676,630,577,702,567,660,645,636,570,594,581,481,480,519,719,721,556,533,531,524,491,464,580,530,2,470,559,557,536,492,97,92,88,485,504,502,600,483,701,628,508,672,664,572,654,629,593,543,625,700,658,710,720,685,705,32,671,555,91,618,434,509,553,534,569,20,90,3,14,98,415,414,102,537,488,465,552])).
% 31.50/31.54 cnf(1639,plain,
% 31.50/31.54 (P14(f39(f14(f12(a16,x16391,f21(x16392)),f4(a29),a29),a31,f44(a29)))),
% 31.50/31.54 inference(scs_inference,[],[155,726,727,156,333,298,305,1457,336,192,1431,1466,1472,1489,1532,1551,1603,193,1488,346,326,188,1453,1506,355,167,353,356,258,146,129,1529,1599,213,205,133,351,329,1402,1405,1560,147,1480,161,165,1463,1579,281,1410,1413,1416,1419,1456,280,1575,361,363,115,128,169,364,145,119,284,197,354,148,241,154,113,360,731,1205,799,1062,859,736,1536,1217,894,914,1180,1188,765,1424,887,778,791,797,1040,903,1176,1462,849,906,865,917,795,1182,939,943,947,1539,1235,1157,869,561,560,429,718,717,469,687,682,613,612,602,535,500,436,538,708,620,619,617,601,433,676,630,577,702,567,660,645,636,570,594,581,481,480,519,719,721,556,533,531,524,491,464,580,530,2,470,559,557,536,492,97,92,88,485,504,502,600,483,701,628,508,672,664,572,654,629,593,543,625,700,658,710,720,685,705,32,671,555,91,618,434,509,553,534,569,20,90,3,14,98,415,414,102,537,488,465,552,659])).
% 31.50/31.54 cnf(1640,plain,
% 31.50/31.54 (P14(f39(f21(x16401),f26(x16402),a45))),
% 31.50/31.54 inference(rename_variables,[],[165])).
% 31.50/31.54 cnf(1643,plain,
% 31.50/31.54 (P14(f39(f21(x16431),f26(x16432),a45))),
% 31.50/31.54 inference(rename_variables,[],[165])).
% 31.50/31.54 cnf(1648,plain,
% 31.50/31.54 (P14(f39(x16481,f3(f9(a16,f5(x16482,f14(f12(x16483,x16484,f25(f22(f32(a34,a53),x16481),f22(f32(a34,a16),f32(a24,f32(a34,a53))))),x16485,a29),a29))),a45))),
% 31.50/31.54 inference(scs_inference,[],[155,726,727,156,333,298,305,1457,336,192,1431,1466,1472,1489,1532,1551,1603,193,1488,346,326,188,1453,1506,355,167,353,356,258,146,129,1529,1599,213,205,133,351,329,1402,1405,1560,147,1480,161,165,1463,1579,1640,281,1410,1413,1416,1419,1456,280,1575,361,363,115,128,169,364,145,119,284,197,354,148,241,154,113,360,731,1205,799,1062,859,736,1536,1217,894,878,914,1180,1188,765,1424,887,778,791,797,1040,897,903,1176,1462,849,906,865,917,795,1182,939,943,947,1539,1235,1157,869,561,560,429,718,717,469,687,682,613,612,602,535,500,436,538,708,620,619,617,601,433,676,630,577,702,567,660,645,636,570,594,581,481,480,519,719,721,556,533,531,524,491,464,580,530,2,470,559,557,536,492,97,92,88,485,504,502,600,483,701,628,508,672,664,572,654,629,593,543,625,700,658,710,720,685,705,32,671,555,91,618,434,509,553,534,569,20,90,3,14,98,415,414,102,537,488,465,552,659,640,558,616])).
% 31.50/31.54 cnf(1651,plain,
% 31.50/31.54 (~P6(f41(a24,f40(a51,x16511,x16512),x16512,a45),f9(a16,a50),f48(a45,a1))),
% 31.50/31.54 inference(scs_inference,[],[155,726,727,156,333,298,305,1457,336,192,1431,1466,1472,1489,1532,1551,1603,193,1488,346,326,188,1453,1506,355,167,353,356,258,146,129,1529,1599,213,205,133,351,329,1402,1405,1560,147,1480,161,165,1463,1579,1640,281,1410,1413,1416,1419,1456,280,1575,361,363,115,128,169,364,145,119,284,197,354,148,241,154,113,360,731,1205,799,1062,859,736,1536,1217,894,878,914,1180,1188,765,1424,887,778,791,797,1040,897,903,1176,1462,849,906,865,917,795,1182,939,943,947,1539,1235,1157,869,561,560,429,718,717,469,687,682,613,612,602,535,500,436,538,708,620,619,617,601,433,676,630,577,702,567,660,645,636,570,594,581,481,480,519,719,721,556,533,531,524,491,464,580,530,2,470,559,557,536,492,97,92,88,485,504,502,600,483,701,628,508,672,664,572,654,629,593,543,625,700,658,710,720,685,705,32,671,555,91,618,434,509,553,534,569,20,90,3,14,98,415,414,102,537,488,465,552,659,640,558,616,462])).
% 31.50/31.54 cnf(1662,plain,
% 31.50/31.54 (P14(f32(f40(a37,x16621,x16622),f14(x16623,a38,x16624)))),
% 31.50/31.54 inference(scs_inference,[],[155,726,727,156,142,333,298,305,1457,336,192,1431,1466,1472,1489,1532,1551,1603,193,1488,346,326,188,1453,1506,168,355,167,353,356,258,146,129,1529,1599,213,205,133,351,329,1402,1405,1560,1585,147,1480,161,165,1463,1579,1640,281,1410,1413,1416,1419,1456,280,1575,361,363,115,128,169,364,145,119,284,197,354,148,241,154,113,360,731,1205,799,1062,859,736,1536,1217,894,878,914,1180,1188,765,1424,887,778,791,797,1040,897,903,1176,1462,849,906,865,917,795,1182,939,943,947,1539,1235,1157,869,561,560,429,718,717,469,687,682,613,612,602,535,500,436,538,708,620,619,617,601,433,676,630,577,702,567,660,645,636,570,594,581,481,480,519,719,721,556,533,531,524,491,464,580,530,2,470,559,557,536,492,97,92,88,485,504,502,600,483,701,628,508,672,664,572,654,629,593,543,625,700,658,710,720,685,705,32,671,555,91,618,434,509,553,534,569,20,90,3,14,98,415,414,102,537,488,465,552,659,640,558,616,462,571,96,487,457,551,547])).
% 31.50/31.54 cnf(1665,plain,
% 31.50/31.54 (P14(f39(f22(x16651,f21(x16652)),f26(f35(f48(a45,a1))),a45))),
% 31.50/31.54 inference(scs_inference,[],[155,726,727,156,142,333,298,305,1457,336,192,1431,1466,1472,1489,1532,1551,1603,193,1488,346,326,188,1453,1506,1525,168,355,167,353,356,258,146,129,1529,1599,213,205,133,351,329,1402,1405,1560,1585,147,1480,161,165,1463,1579,1640,1643,281,1410,1413,1416,1419,1456,280,1575,361,363,115,128,169,364,145,119,284,197,354,148,241,154,113,360,731,1205,799,1062,859,736,1536,1217,894,878,914,1180,1188,765,1424,887,778,791,797,1040,897,903,1176,1462,849,906,865,917,795,1182,939,943,947,1539,1235,1157,869,561,560,429,718,717,469,687,682,613,612,602,535,500,436,538,708,620,619,617,601,433,676,630,577,702,567,660,645,636,570,594,581,481,480,519,719,721,556,533,531,524,491,464,580,530,2,470,559,557,536,492,97,92,88,485,504,502,600,483,701,628,508,672,664,572,654,629,593,543,625,700,658,710,720,685,705,32,671,555,91,618,434,509,553,534,569,20,90,3,14,98,415,414,102,537,488,465,552,659,640,558,616,462,571,96,487,457,551,547,592])).
% 31.50/31.54 cnf(1669,plain,
% 31.50/31.54 (~P6(f40(a38,f33(f48(x16691,a1)),x16691),f40(a37,f33(f48(x16691,a1)),x16691),f48(x16691,a1))),
% 31.50/31.54 inference(scs_inference,[],[155,726,727,156,142,333,298,305,1457,336,192,1431,1466,1472,1489,1532,1551,1603,193,1488,346,326,188,1453,1506,1525,168,355,167,353,356,258,146,129,1529,1599,213,205,133,351,329,1402,1405,1560,1585,147,1480,161,345,165,1463,1579,1640,1643,281,1410,1413,1416,1419,1456,280,1575,361,363,115,128,169,364,145,119,284,197,354,148,241,154,113,360,731,1205,799,1062,859,736,1536,1217,894,878,914,1180,1188,765,1424,887,1054,778,791,797,1040,897,903,1176,1462,849,906,865,917,795,1182,939,943,947,1539,1235,1157,869,561,560,429,718,717,469,687,682,613,612,602,535,500,436,538,708,620,619,617,601,433,676,630,577,702,567,660,645,636,570,594,581,481,480,519,719,721,556,533,531,524,491,464,580,530,2,470,559,557,536,492,97,92,88,485,504,502,600,483,701,628,508,672,664,572,654,629,593,543,625,700,658,710,720,685,705,32,671,555,91,618,434,509,553,534,569,20,90,3,14,98,415,414,102,537,488,465,552,659,640,558,616,462,571,96,487,457,551,547,592,589])).
% 31.50/31.54 cnf(1681,plain,
% 31.50/31.54 (~P14(f39(f19(f25(x16811,x16812)),f26(f3(f33(f48(a45,a1)))),a45))+P14(f39(x16811,f26(f3(f33(f48(a45,a1)))),a45))),
% 31.50/31.54 inference(scs_inference,[],[155,726,727,156,142,333,298,305,1457,336,192,1431,1466,1472,1489,1532,1551,1603,193,1488,346,326,188,1453,1506,1525,168,355,167,353,356,257,258,146,129,1529,1599,213,205,133,351,329,1402,1405,1560,1585,147,1480,161,345,165,1463,1579,1640,1643,369,281,1410,1413,1416,1419,1456,280,1575,361,363,115,128,169,364,145,119,284,197,354,148,241,154,113,360,731,1205,799,1062,859,736,1536,1217,894,878,914,1180,1188,765,1424,887,1054,778,791,1608,797,1040,897,903,1176,1462,849,906,865,917,795,1182,939,943,1485,947,1539,1164,1235,1157,869,561,560,429,718,717,469,687,682,613,612,602,535,500,436,538,708,620,619,617,601,433,676,630,577,702,567,660,645,636,570,594,581,481,480,519,719,721,556,533,531,524,491,464,580,530,2,470,559,557,536,492,97,92,88,485,504,502,600,483,701,628,508,672,664,572,654,629,593,543,625,700,658,710,720,685,705,32,671,555,91,618,434,509,553,534,569,20,90,3,14,98,415,414,102,537,488,465,552,659,640,558,616,462,571,96,487,457,551,547,592,589,587,453,615,614])).
% 31.50/31.54 cnf(1682,plain,
% 31.50/31.54 (~P14(f39(x16821,f3(f33(f48(a45,a1))),a45))),
% 31.50/31.54 inference(rename_variables,[],[791])).
% 31.50/31.54 cnf(1684,plain,
% 31.50/31.54 (~P14(f39(f19(f25(f25(f19(f25(x16841,x16842)),x16842),x16843)),f26(f3(f33(f48(a45,a1)))),a45))+P14(f39(x16841,f26(f3(f33(f48(a45,a1)))),a45))),
% 31.50/31.54 inference(scs_inference,[],[155,726,727,156,142,333,298,305,1457,336,192,1431,1466,1472,1489,1532,1551,1603,193,1488,346,326,188,1453,1506,1525,168,355,167,353,356,257,258,146,129,1529,1599,213,205,133,351,329,1402,1405,1560,1585,147,1480,161,345,165,1463,1579,1640,1643,369,281,1410,1413,1416,1419,1456,280,1575,361,363,115,128,169,364,145,119,284,197,354,148,241,154,113,360,731,1205,799,1062,859,736,1536,1217,894,878,914,1180,1188,765,1424,887,1054,778,791,1608,1682,797,1040,897,903,1176,1462,849,906,865,917,795,1182,939,943,1485,947,1539,1164,1235,1157,869,561,560,429,718,717,469,687,682,613,612,602,535,500,436,538,708,620,619,617,601,433,676,630,577,702,567,660,645,636,570,594,581,481,480,519,719,721,556,533,531,524,491,464,580,530,2,470,559,557,536,492,97,92,88,485,504,502,600,483,701,628,508,672,664,572,654,629,593,543,625,700,658,710,720,685,705,32,671,555,91,618,434,509,553,534,569,20,90,3,14,98,415,414,102,537,488,465,552,659,640,558,616,462,571,96,487,457,551,547,592,589,587,453,615,614,634])).
% 31.50/31.54 cnf(1708,plain,
% 31.50/31.54 (P14(f32(f40(a37,f40(a38,x17081,x17082),x17083),x17084))),
% 31.50/31.54 inference(scs_inference,[],[197,1415,1205,680,667,666,429])).
% 31.50/31.54 cnf(1714,plain,
% 31.50/31.54 (P6(x17141,f2(f2(x17141)),f48(a45,a1))),
% 31.50/31.54 inference(scs_inference,[],[147,197,1669,1415,1205,680,667,666,429,497,469])).
% 31.50/31.54 cnf(1730,plain,
% 31.50/31.54 (P14(f39(x17301,f15(f5(x17302,f14(x17301,x17303,x17304),x17304),x17304),x17304))),
% 31.50/31.54 inference(rename_variables,[],[281])).
% 31.50/31.54 cnf(1731,plain,
% 31.50/31.54 (P14(f39(f32(x17311,x17312),f41(x17311,f35(f48(x17313,a1)),x17313,x17314),x17314))),
% 31.50/31.54 inference(rename_variables,[],[280])).
% 31.50/31.54 cnf(1735,plain,
% 31.50/31.54 (P14(f39(x17351,f3(f9(a16,f5(x17352,f14(f12(x17353,x17354,f25(x17355,f25(x17356,x17351))),x17357,a29),a29))),a45))),
% 31.50/31.54 inference(scs_inference,[],[370,147,281,280,197,1669,782,1564,1577,1517,1415,1499,1174,1205,917,680,667,666,429,497,469,638,687,613,612,538,708,602,533])).
% 31.50/31.54 cnf(1736,plain,
% 31.50/31.54 (P14(f39(x17361,f3(f9(a16,f5(x17362,f14(f12(x17363,x17364,f25(x17365,x17361)),x17366,a29),a29))),a45))),
% 31.50/31.54 inference(rename_variables,[],[1499])).
% 31.50/31.54 cnf(1738,plain,
% 31.50/31.54 (P14(f39(x17381,f2(f9(a16,f5(x17382,f14(f12(x17383,x17384,f25(x17385,x17381)),x17386,a29),a29))),a45))),
% 31.50/31.54 inference(scs_inference,[],[370,147,281,280,197,1669,782,1564,1577,1517,1415,1418,1499,1174,1205,917,680,667,666,429,497,469,638,687,613,612,538,708,602,533,531])).
% 31.50/31.54 cnf(1739,plain,
% 31.50/31.54 (P14(f39(x17391,f2(f9(a16,f5(x17392,f14(f12(x17393,x17394,x17391),x17395,a29),a29))),a45))),
% 31.50/31.54 inference(rename_variables,[],[1418])).
% 31.50/31.54 cnf(1741,plain,
% 31.50/31.54 (~P14(f39(f23(x17411),f3(f9(x17412,f4(a29))),a45))),
% 31.50/31.54 inference(scs_inference,[],[370,147,281,280,361,197,1669,782,1564,1577,1517,1415,1418,1499,1174,1205,917,680,667,666,429,497,469,638,687,613,612,538,708,602,533,531,500])).
% 31.50/31.54 cnf(1746,plain,
% 31.50/31.54 (P9(f48(x17461,a1))),
% 31.50/31.54 inference(rename_variables,[],[947])).
% 31.50/31.54 cnf(1750,plain,
% 31.50/31.54 (~P14(f39(f32(a34,x17501),f41(f36(x17502),x17503,a46,a47),a47))),
% 31.50/31.54 inference(rename_variables,[],[370])).
% 31.50/31.54 cnf(1755,plain,
% 31.50/31.54 (P14(f39(x17551,f2(f9(a16,f5(x17552,f14(f12(x17553,x17554,f25(x17551,x17555)),x17556,a29),a29))),a45))),
% 31.50/31.54 inference(scs_inference,[],[221,370,114,147,281,280,361,197,733,1669,1637,782,1564,1577,1517,1415,1418,1739,1499,923,1174,1205,799,947,917,680,667,666,429,497,469,638,687,613,612,538,708,602,533,531,500,433,519,537,491,532])).
% 31.50/31.54 cnf(1756,plain,
% 31.50/31.54 (P14(f39(x17561,f2(f9(a16,f5(x17562,f14(f12(x17563,x17564,x17561),x17565,a29),a29))),a45))),
% 31.50/31.54 inference(rename_variables,[],[1418])).
% 31.50/31.54 cnf(1758,plain,
% 31.50/31.54 (P14(f39(f25(f23(a55),f25(f21(a53),f25(f32(a24,a51),a56))),f2(f9(a16,a50)),a45))),
% 31.50/31.54 inference(scs_inference,[],[221,370,114,147,281,280,361,284,197,733,1669,1637,782,1564,1577,1517,1415,1418,1739,1499,923,1174,1205,799,947,917,680,667,666,429,497,469,638,687,613,612,538,708,602,533,531,500,433,519,537,491,532,530])).
% 31.50/31.54 cnf(1762,plain,
% 31.50/31.54 (P14(f39(x17621,f7(f5(x17622,f14(f12(x17623,x17624,f25(x17621,x17625)),x17626,a29),a29)),a45))),
% 31.50/31.54 inference(scs_inference,[],[221,370,114,147,281,280,361,284,197,733,1669,1637,782,1564,1577,756,1517,1415,1418,1739,1499,923,1174,1205,799,947,917,680,667,666,429,497,469,638,687,613,612,538,708,602,533,531,500,433,519,537,491,532,530,682,536])).
% 31.50/31.54 cnf(1763,plain,
% 31.50/31.54 (P14(f39(x17631,f7(f5(x17632,f14(f12(x17633,x17634,x17631),x17635,a29),a29)),a45))),
% 31.50/31.54 inference(rename_variables,[],[756])).
% 31.50/31.54 cnf(1765,plain,
% 31.50/31.54 (P14(f39(x17651,f7(f5(x17652,f14(f12(x17653,x17654,f25(x17655,x17651)),x17656,a29),a29)),a45))),
% 31.50/31.54 inference(scs_inference,[],[221,370,114,147,281,280,361,284,197,733,1669,1637,782,1564,1577,756,1763,1517,1415,1418,1739,1499,923,1174,1205,799,947,917,680,667,666,429,497,469,638,687,613,612,538,708,602,533,531,500,433,519,537,491,532,530,682,536,535])).
% 31.50/31.54 cnf(1768,plain,
% 31.50/31.54 (~P14(f39(f22(f32(a34,a16),f32(a24,a51)),f9(a16,a50),a45))),
% 31.50/31.54 inference(scs_inference,[],[221,370,114,147,281,280,361,284,197,733,1669,1637,782,1564,1577,756,1763,1517,1415,1418,1739,1499,923,1174,1205,799,947,917,680,667,666,429,497,469,638,687,613,612,538,708,602,533,531,500,433,519,537,491,532,530,682,536,535,492])).
% 31.50/31.54 cnf(1770,plain,
% 31.50/31.54 (~P14(f32(f41(f36(x17701),x17702,a46,a47),f32(a34,x17703)))),
% 31.50/31.54 inference(scs_inference,[],[221,370,1750,114,147,281,280,361,284,197,733,1669,1637,782,1564,1577,756,1763,1517,1415,1418,1739,1499,923,1174,1205,799,947,917,680,667,666,429,497,469,638,687,613,612,538,708,602,533,531,500,433,519,537,491,532,530,682,536,535,492,436])).
% 31.50/31.54 cnf(1773,plain,
% 31.50/31.54 (P9(f48(x17731,a1))),
% 31.50/31.54 inference(rename_variables,[],[947])).
% 31.50/31.54 cnf(1775,plain,
% 31.50/31.54 (P4(f40(f25(f32(a24,f32(a18,x17751)),f22(x17751,x17752)),x17753,x17754),x17752)),
% 31.50/31.54 inference(scs_inference,[],[221,370,1750,259,114,147,281,280,361,284,197,1623,1625,733,1669,1637,782,1564,1577,756,1763,1517,1415,1418,1739,1499,923,1174,1205,799,947,1746,917,680,667,666,429,497,469,638,687,613,612,538,708,602,533,531,500,433,519,537,491,532,530,682,536,535,492,436,502,465])).
% 31.50/31.54 cnf(1778,plain,
% 31.50/31.54 (P14(f39(x17781,f2(f9(a16,f5(x17782,f14(f12(x17783,x17784,x17781),x17785,a29),a29))),a45))),
% 31.50/31.54 inference(rename_variables,[],[1418])).
% 31.50/31.54 cnf(1780,plain,
% 31.50/31.54 (~P6(f35(f48(a45,a1)),f2(f9(x17801,f4(a29))),f48(a45,a1))),
% 31.50/31.54 inference(scs_inference,[],[221,370,1750,259,349,114,147,281,280,361,284,197,1623,1625,733,1669,1505,1637,782,1564,1577,756,1763,1517,1415,1418,1739,1756,1499,923,1174,1205,799,947,1746,917,680,667,666,429,497,469,638,687,613,612,538,708,602,533,531,500,433,519,537,491,532,530,682,536,535,492,436,502,465,617,552])).
% 31.50/31.54 cnf(1783,plain,
% 31.50/31.54 (P14(f39(x17831,f3(f9(a16,f5(x17832,f14(f12(x17833,x17834,f22(f32(a34,a16),x17831)),x17835,a29),a29))),a45))),
% 31.50/31.54 inference(scs_inference,[],[221,370,1750,259,349,114,147,281,280,361,284,197,154,1623,1625,733,1669,1505,1637,782,1564,1577,756,1763,1517,1415,1418,1739,1756,1499,923,1174,1205,799,947,1746,917,680,667,666,429,497,469,638,687,613,612,538,708,602,533,531,500,433,519,537,491,532,530,682,536,535,492,436,502,465,617,552,628])).
% 31.50/31.54 cnf(1784,plain,
% 31.50/31.54 (P14(f39(x17841,f3(f9(a16,f5(x17842,f14(f12(x17843,x17844,x17841),x17845,a29),a29))),a45))),
% 31.50/31.54 inference(rename_variables,[],[1415])).
% 31.50/31.54 cnf(1786,plain,
% 31.50/31.55 (~P14(f39(f23(x17861),f2(f40(f32(a24,f32(f36(x17862),x17863)),f9(a16,f4(a29)),a45)),a45))),
% 31.50/31.55 inference(scs_inference,[],[221,370,1750,259,349,114,147,281,280,361,284,197,154,1623,1625,733,1669,1505,1637,1562,782,1564,1577,756,1763,1517,1415,1418,1739,1756,1499,1426,923,1174,1205,799,947,1746,917,680,667,666,429,497,469,638,687,613,612,538,708,602,533,531,500,433,519,537,491,532,530,682,536,535,492,436,502,465,617,552,628,664])).
% 31.50/31.55 cnf(1792,plain,
% 31.50/31.55 (P14(f39(x17921,f15(f5(x17922,f14(x17921,x17923,x17924),x17924),x17924),x17924))),
% 31.50/31.55 inference(rename_variables,[],[281])).
% 31.50/31.55 cnf(1795,plain,
% 31.50/31.55 (P6(x17951,f26(x17951),f48(a45,a1))),
% 31.50/31.55 inference(rename_variables,[],[149])).
% 31.50/31.55 cnf(1814,plain,
% 31.50/31.55 (P14(f32(f2(f9(a16,a50)),f22(a51,f25(f23(a54),f23(a54)))))),
% 31.50/31.55 inference(scs_inference,[],[229,307,221,166,370,1750,233,259,349,149,150,114,329,147,281,1730,280,361,284,197,154,1623,1625,733,1669,1505,1637,1581,1562,782,1564,1577,756,1763,1517,1415,1418,1739,1756,1778,1499,1426,923,1174,1205,799,939,947,1746,917,155,680,667,666,429,497,469,638,687,613,612,538,708,602,533,531,500,433,519,537,491,532,530,682,536,535,492,436,502,465,617,552,628,664,572,645,481,685,705,462,556,524,464])).
% 31.50/31.55 cnf(1825,plain,
% 31.50/31.55 (P6(x18251,f40(x18252,x18251,x18253),f48(x18253,a1))),
% 31.50/31.55 inference(rename_variables,[],[179])).
% 31.50/31.55 cnf(1834,plain,
% 31.50/31.55 (~P14(f39(f32(a24,a51),f3(f40(f21(x18341),f3(f9(a16,a50)),a45)),a45))),
% 31.50/31.55 inference(scs_inference,[],[229,307,221,166,370,1750,233,235,259,260,349,149,150,234,179,114,329,147,281,1730,280,1731,361,284,197,154,1623,1625,733,1669,1505,1637,1581,1562,782,1564,1577,756,1763,1517,1415,1418,1739,1756,1778,1499,1736,1412,1426,1446,923,1174,1205,799,939,943,947,1746,1773,917,155,680,667,666,429,497,469,638,687,613,612,538,708,602,533,531,500,433,519,537,491,532,530,682,536,535,492,436,502,465,617,552,628,664,572,645,481,685,705,462,556,524,464,504,618,480,700,559,555,553])).
% 31.50/31.55 cnf(1837,plain,
% 31.50/31.55 (P14(f39(x18371,f3(f9(a16,f5(x18372,f14(f12(x18373,x18374,f25(x18371,x18375)),x18376,a29),a29))),a45))),
% 31.50/31.55 inference(scs_inference,[],[229,307,221,166,370,1750,233,235,259,260,349,149,150,234,179,114,329,147,281,1730,280,1731,361,284,197,154,1623,1625,733,1669,1505,1637,1581,1562,782,1564,1577,756,1763,1517,1415,1784,1418,1739,1756,1778,1499,1736,1412,1426,1446,923,1174,1205,799,939,943,947,1746,1773,917,155,680,667,666,429,497,469,638,687,613,612,538,708,602,533,531,500,433,519,537,491,532,530,682,536,535,492,436,502,465,617,552,628,664,572,645,481,685,705,462,556,524,464,504,618,480,700,559,555,553,534])).
% 31.50/31.55 cnf(1841,plain,
% 31.50/31.55 (~P14(f32(f33(f48(x18411,a1)),x18412))),
% 31.50/31.55 inference(rename_variables,[],[352])).
% 31.50/31.55 cnf(1843,plain,
% 31.50/31.55 (P14(f39(x18431,f15(f14(x18432,f5(x18433,f14(x18431,x18434,x18435),x18435),x18435),x18435),x18435))),
% 31.50/31.55 inference(scs_inference,[],[229,307,221,166,223,370,1750,233,235,259,260,349,149,150,168,234,179,114,329,147,352,281,1730,1792,280,1731,361,284,197,154,1623,1625,733,1669,1505,1637,1581,1562,782,1564,1577,756,1763,1517,1415,1784,1418,1739,1756,1778,1499,1736,1412,1426,1446,923,1174,1205,799,939,943,947,1746,1773,917,155,680,667,666,429,497,469,638,687,613,612,538,708,602,533,531,500,433,519,537,491,532,530,682,536,535,492,436,502,465,617,552,628,664,572,645,481,685,705,462,556,524,464,504,618,480,700,559,555,553,534,457,543])).
% 31.50/31.55 cnf(1844,plain,
% 31.50/31.55 (P6(f15(x18441,x18442),f15(f14(x18443,x18441,x18442),x18442),f48(x18442,a1))),
% 31.50/31.55 inference(rename_variables,[],[223])).
% 31.50/31.55 cnf(1849,plain,
% 31.50/31.55 (~P14(f6(f39(f32(a34,x18491),f41(f36(x18492),x18493,a46,a47),a47),f33(f48(x18494,a1)),f48(x18494,a1)))),
% 31.50/31.55 inference(scs_inference,[],[229,307,221,166,223,1844,370,1750,233,235,259,260,162,349,149,150,168,234,179,114,329,147,352,281,1730,1792,280,1731,361,284,197,154,1623,1625,733,1014,1669,1505,1637,1581,1562,782,1564,1577,756,1763,1517,1415,1784,1418,1739,1756,1778,1499,1736,1412,1426,1446,923,1174,1205,799,939,943,947,1746,1773,917,155,680,667,666,429,497,469,638,687,613,612,538,708,602,533,531,500,433,519,537,491,532,530,682,536,535,492,436,502,465,617,552,628,664,572,645,481,685,705,462,556,524,464,504,618,480,700,559,555,553,534,457,543,92,88])).
% 31.50/31.55 cnf(1853,plain,
% 31.50/31.55 (P6(x18531,f40(x18532,x18531,x18533),f48(x18533,a1))),
% 31.50/31.55 inference(rename_variables,[],[179])).
% 31.50/31.55 cnf(1855,plain,
% 31.50/31.55 (~P6(f26(f6(f9(a16,a50),x18551,f48(a45,a1))),f2(f9(x18552,f4(a29))),f48(a45,a1))),
% 31.50/31.55 inference(scs_inference,[],[229,307,221,166,223,1844,370,1750,233,235,259,260,162,349,149,1795,150,346,168,234,179,1825,114,329,147,352,281,1730,1792,280,1731,361,284,197,154,1623,1625,1497,733,1014,1669,1505,1637,1581,1562,782,1564,1577,756,1763,1517,1415,1784,1418,1739,1756,1778,1499,1736,1412,1426,1446,923,1174,1205,799,939,943,947,1746,1773,917,155,680,667,666,429,497,469,638,687,613,612,538,708,602,533,531,500,433,519,537,491,532,530,682,536,535,492,436,502,465,617,552,628,664,572,645,481,685,705,462,556,524,464,504,618,480,700,559,555,553,534,457,543,92,88,485,508])).
% 31.50/31.55 cnf(1858,plain,
% 31.50/31.55 (P14(f39(x18581,f3(f9(a16,f5(x18582,f14(f12(x18583,x18584,f25(f32(a24,f32(a34,x18585)),f22(f32(a34,a16),f22(f32(a34,x18585),x18581)))),x18586,a29),a29))),a45))),
% 31.50/31.55 inference(scs_inference,[],[229,307,221,166,223,1844,370,1750,233,235,259,260,162,349,149,1795,150,346,168,234,179,1825,114,329,147,352,281,1730,1792,280,1731,361,284,197,154,1623,1625,1497,733,1014,1669,1505,1637,1581,1562,782,1564,1577,756,1763,1517,1415,1784,1418,1739,1756,1778,1499,1736,1548,1412,1426,1446,923,1174,1205,799,939,943,947,1746,1773,917,155,680,667,666,429,497,469,638,687,613,612,538,708,602,533,531,500,433,519,537,491,532,530,682,536,535,492,436,502,465,617,552,628,664,572,645,481,685,705,462,556,524,464,504,618,480,700,559,555,553,534,457,543,92,88,485,508,629])).
% 31.50/31.55 cnf(1861,plain,
% 31.50/31.55 (P6(x18611,f3(f3(x18611)),f48(a45,a1))),
% 31.50/31.55 inference(scs_inference,[],[229,307,221,166,223,1844,370,1750,233,235,259,260,162,349,149,1795,150,346,168,234,179,1825,114,329,147,352,281,1730,1792,280,1731,361,284,197,148,154,1623,1625,1497,733,1014,1669,1505,1637,1581,1562,782,1564,1577,756,1763,1517,1415,1784,1418,1739,1756,1778,1499,1736,1548,1412,1426,1446,923,1174,1205,799,939,943,947,1746,1773,917,155,680,667,666,429,497,469,638,687,613,612,538,708,602,533,531,500,433,519,537,491,532,530,682,536,535,492,436,502,465,617,552,628,664,572,645,481,685,705,462,556,524,464,504,618,480,700,559,555,553,534,457,543,92,88,485,508,629,470])).
% 31.50/31.55 cnf(1882,plain,
% 31.50/31.55 (P3(f33(f48(a45,a1)),f3(f33(f48(a45,a1))),x18821)),
% 31.50/31.55 inference(scs_inference,[],[229,729,143,288,307,221,166,223,1844,334,370,1750,233,235,259,260,162,349,149,1795,150,192,346,168,234,179,1825,1853,114,133,329,147,165,352,1841,281,1730,1792,280,1731,361,284,197,148,154,1623,1625,1497,733,1014,1669,1505,1637,1581,1562,782,1564,1577,756,1763,1517,1415,1784,1418,1739,1756,1778,1499,1736,1548,1412,1426,1446,923,1174,1205,799,939,943,947,1746,1773,917,155,680,667,666,429,497,469,638,687,613,612,538,708,602,533,531,500,433,519,537,491,532,530,682,536,535,492,436,502,465,617,552,628,664,572,645,481,685,705,462,556,524,464,504,618,480,700,559,555,553,534,457,543,92,88,485,508,629,470,557,91,658,571,671,547,2,20,97])).
% 31.50/31.55 cnf(1916,plain,
% 31.50/31.55 (P14(f39(x19161,f3(f9(a16,f5(x19162,f14(f12(x19163,x19164,f25(f32(a24,f32(a18,x19165)),f25(x19166,f22(x19165,x19161)))),x19167,a29),a29))),a45))),
% 31.50/31.55 inference(scs_inference,[],[1837,1735,615])).
% 31.50/31.55 cnf(1917,plain,
% 31.50/31.55 (P14(f39(x19171,f3(f9(a16,f5(x19172,f14(f12(x19173,x19174,f25(x19171,x19175)),x19176,a29),a29))),a45))),
% 31.50/31.55 inference(rename_variables,[],[1837])).
% 31.50/31.55 cnf(1918,plain,
% 31.50/31.55 (P14(f39(x19181,f3(f9(a16,f5(x19182,f14(f12(x19183,x19184,f25(x19185,f25(x19186,x19181))),x19187,a29),a29))),a45))),
% 31.50/31.55 inference(rename_variables,[],[1735])).
% 31.50/31.55 cnf(1920,plain,
% 31.50/31.55 (P14(f39(x19201,f3(f9(a16,f5(x19202,f14(f12(x19203,x19204,f25(f22(f32(a34,x19205),x19201),f25(x19206,f32(a24,f32(a34,x19205))))),x19207,a29),a29))),a45))),
% 31.50/31.55 inference(scs_inference,[],[169,1837,1917,1735,1918,615,616])).
% 31.50/31.55 cnf(1931,plain,
% 31.50/31.55 (P14(f39(x19311,f3(f9(a16,f14(x19312,f5(x19313,f14(f12(x19314,x19315,x19311),x19316,a29),a29),a29))),a45))),
% 31.50/31.55 inference(scs_inference,[],[151,373,169,1843,1837,1917,1735,1918,733,799,615,616,497,537,613])).
% 31.50/31.55 cnf(1932,plain,
% 31.50/31.55 (P14(f39(x19321,f15(f14(x19322,f5(x19323,f14(x19321,x19324,x19325),x19325),x19325),x19325),x19325))),
% 31.50/31.55 inference(rename_variables,[],[1843])).
% 31.50/31.55 cnf(1938,plain,
% 31.50/31.55 (~P14(f39(f22(x19381,f23(x19382)),f2(f40(f32(a24,f32(f36(x19383),x19384)),f9(a16,f4(a29)),a45)),a45))),
% 31.50/31.55 inference(scs_inference,[],[151,373,169,354,1843,1780,1786,1837,1917,1735,1918,733,799,615,616,497,537,613,602,469,530])).
% 31.50/31.55 cnf(1940,plain,
% 31.50/31.55 (~P14(f39(f32(a24,x19401),f26(f2(f33(f48(a45,a1)))),a45))),
% 31.50/31.55 inference(scs_inference,[],[151,373,364,169,354,1843,1780,1786,1837,1917,1735,1918,733,799,615,616,497,537,613,602,469,530,546])).
% 31.50/31.55 cnf(1941,plain,
% 31.50/31.55 (~P14(f39(x19411,f2(f33(f48(a45,a1))),a45))),
% 31.50/31.55 inference(rename_variables,[],[364])).
% 31.50/31.55 cnf(1943,plain,
% 31.50/31.55 (~P14(f39(f25(f22(x19431,x19432),x19433),f7(f4(a29)),a45))),
% 31.50/31.55 inference(scs_inference,[],[151,373,356,364,169,354,1843,1780,1786,1837,1917,1735,1918,733,799,615,616,497,537,613,602,469,530,546,536])).
% 31.50/31.55 cnf(1945,plain,
% 31.50/31.55 (P14(f39(x19451,f35(f48(x19452,a1)),x19453))),
% 31.50/31.55 inference(scs_inference,[],[151,373,356,168,364,169,354,1843,1780,1786,1837,1917,1735,1918,733,799,615,616,497,537,613,602,469,530,546,536,436])).
% 31.50/31.55 cnf(1948,plain,
% 31.50/31.55 (P9(f48(x19481,a1))),
% 31.50/31.55 inference(rename_variables,[],[947])).
% 31.50/31.55 cnf(1950,plain,
% 31.50/31.55 (~P14(f39(f22(f32(a34,a16),f23(x19501)),f3(f9(a16,f4(a29))),a45))),
% 31.50/31.55 inference(scs_inference,[],[151,373,356,168,364,169,354,154,1843,1780,1741,1786,1837,1917,1735,1918,733,799,947,615,616,497,537,613,602,469,530,546,536,436,502,628])).
% 31.50/31.55 cnf(1951,plain,
% 31.50/31.55 (~P14(f39(f23(x19511),f3(f9(x19512,f4(a29))),a45))),
% 31.50/31.55 inference(rename_variables,[],[1741])).
% 31.50/31.55 cnf(1959,plain,
% 31.50/31.55 (P6(x19591,f6(x19591,x19592,f48(x19593,a1)),f48(x19593,a1))),
% 31.50/31.55 inference(rename_variables,[],[193])).
% 31.50/31.55 cnf(1962,plain,
% 31.50/31.55 (P9(f48(x19621,a1))),
% 31.50/31.55 inference(rename_variables,[],[947])).
% 31.50/31.55 cnf(1965,plain,
% 31.50/31.55 (P14(f39(x19651,f2(f9(a16,f5(x19652,f14(f12(x19653,x19654,f25(x19655,x19651)),x19656,a29),a29))),a45))),
% 31.50/31.55 inference(rename_variables,[],[1738])).
% 31.50/31.55 cnf(1968,plain,
% 31.50/31.55 (~P14(f39(f25(x19681,f22(x19682,x19683)),f2(f9(x19684,f4(a29))),a45))),
% 31.50/31.55 inference(scs_inference,[],[229,151,309,374,373,193,356,168,363,364,169,354,351,154,1843,1780,1741,1786,1738,1837,1917,1735,1918,733,799,947,1948,615,616,497,537,613,602,469,530,546,536,436,502,628,645,556,538,433,685,531])).
% 31.50/31.55 cnf(1970,plain,
% 31.50/31.55 (P14(f39(x19701,f2(f9(a16,f5(x19702,f14(f12(x19703,x19704,f22(f32(a34,a16),x19701)),x19705,a29),a29))),a45))),
% 31.50/31.55 inference(scs_inference,[],[229,151,309,374,373,193,356,168,363,364,169,354,351,154,1843,1780,1741,1786,1783,1738,1837,1917,1735,1918,733,799,947,1948,615,616,497,537,613,602,469,530,546,536,436,502,628,645,556,538,433,685,531,500])).
% 31.50/31.55 cnf(1972,plain,
% 31.50/31.55 (P14(f39(x19721,f2(f9(a16,f14(x19722,f5(x19723,f14(f12(x19724,x19725,x19721),x19726,a29),a29),a29))),a45))),
% 31.50/31.55 inference(scs_inference,[],[229,151,309,374,373,193,356,168,363,364,169,354,351,154,1843,1932,1780,1741,1786,1783,1738,1837,1917,1735,1918,733,799,947,1948,615,616,497,537,613,602,469,530,546,536,436,502,628,645,556,538,433,685,531,500,612])).
% 31.50/31.55 cnf(1973,plain,
% 31.50/31.55 (P14(f39(x19731,f15(f14(x19732,f5(x19733,f14(x19731,x19734,x19735),x19735),x19735),x19735),x19735))),
% 31.50/31.55 inference(rename_variables,[],[1843])).
% 31.50/31.55 cnf(1977,plain,
% 31.50/31.55 (~P14(f39(f25(x19771,f23(x19772)),f3(f9(x19773,f4(a29))),a45))),
% 31.50/31.55 inference(scs_inference,[],[229,151,309,374,373,193,356,168,363,364,169,354,351,154,1843,1932,1780,1855,1741,1951,1786,1783,1738,1837,1917,1735,1918,733,799,947,1948,615,616,497,537,613,602,469,530,546,536,436,502,628,645,556,538,433,685,531,500,612,555,533])).
% 31.50/31.55 cnf(1979,plain,
% 31.50/31.55 (~P14(f39(f32(a24,f32(a34,a53)),f3(f9(a16,f4(a29))),a45))),
% 31.50/31.55 inference(scs_inference,[],[229,151,309,374,373,193,356,168,156,363,364,169,354,351,154,1843,1932,1780,1855,1741,1951,1786,1783,1738,1837,1917,1735,1918,733,799,947,1948,615,616,497,537,613,602,469,530,546,536,436,502,628,645,556,538,433,685,531,500,612,555,533,618])).
% 31.50/31.55 cnf(1981,plain,
% 31.50/31.55 (P14(f32(f6(f35(f48(x19811,a1)),x19812,f48(x19813,a1)),x19814))),
% 31.50/31.55 inference(scs_inference,[],[229,151,309,374,373,193,1959,356,168,156,363,364,169,354,351,154,1843,1932,1780,1855,1741,1951,1786,1783,1738,1837,1917,1735,1918,733,799,947,1948,615,616,497,537,613,602,469,530,546,536,436,502,628,645,556,538,433,685,531,500,612,555,533,618,457])).
% 31.50/31.55 cnf(1982,plain,
% 31.50/31.55 (P6(x19821,f6(x19821,x19822,f48(x19823,a1)),f48(x19823,a1))),
% 31.50/31.55 inference(rename_variables,[],[193])).
% 31.50/31.55 cnf(1985,plain,
% 31.50/31.55 (P14(f39(f32(x19851,x19852),f41(x19851,f35(f48(x19853,a1)),x19853,x19854),x19854))),
% 31.50/31.55 inference(rename_variables,[],[280])).
% 31.50/31.55 cnf(1986,plain,
% 31.50/31.55 (P14(f39(x19861,f2(f9(a16,f5(x19862,f14(f12(x19863,x19864,f25(x19865,x19861)),x19866,a29),a29))),a45))),
% 31.50/31.55 inference(rename_variables,[],[1738])).
% 31.50/31.55 cnf(1990,plain,
% 31.50/31.55 (P14(f39(f32(a24,a51),f2(f9(a16,a50)),a45))),
% 31.50/31.55 inference(scs_inference,[],[229,151,309,374,373,193,1959,356,168,156,363,280,364,169,354,351,154,1843,1932,1780,1855,1741,1951,1786,1783,1738,1965,1837,1917,1735,1918,733,799,947,1948,917,615,616,497,537,613,602,469,530,546,536,436,502,628,645,556,538,433,685,531,500,612,555,533,618,457,700,532,687])).
% 31.50/31.55 cnf(1994,plain,
% 31.50/31.55 (~P14(f39(f22(x19941,f23(x19942)),f26(f40(f21(x19943),f26(f41(a24,x19944,a47,a45)),a45)),a45))),
% 31.50/31.55 inference(scs_inference,[],[229,151,309,374,373,193,1959,356,168,156,363,165,280,364,169,354,351,154,1843,1932,1780,1855,1741,1951,1786,1783,1738,1965,1837,1917,1735,1918,1476,733,799,947,1948,917,615,616,497,537,613,602,469,530,546,536,436,502,628,645,556,538,433,685,531,500,612,555,533,618,457,700,532,687,491,639])).
% 31.50/31.55 cnf(1997,plain,
% 31.50/31.55 (~P6(f2(f9(a16,a50)),f7(f4(a29)),f48(a45,a1))),
% 31.50/31.55 inference(scs_inference,[],[229,151,309,374,373,193,1959,356,168,156,363,165,280,364,169,354,351,154,1843,1932,1780,1855,1741,1951,1786,1783,1738,1965,1837,1917,1735,1918,1476,733,799,947,1948,917,615,616,497,537,613,602,469,530,546,536,436,502,628,645,556,538,433,685,531,500,612,555,533,618,457,700,532,687,491,639,543])).
% 31.50/31.55 cnf(1998,plain,
% 31.50/31.55 (~P14(f39(f22(x19981,x19982),f7(f4(a29)),a45))),
% 31.50/31.55 inference(rename_variables,[],[356])).
% 31.50/31.55 cnf(2003,plain,
% 31.50/31.55 (P6(x20031,f6(x20031,x20032,f48(x20033,a1)),f48(x20033,a1))),
% 31.50/31.55 inference(rename_variables,[],[193])).
% 31.50/31.55 cnf(2012,plain,
% 31.50/31.55 (~P14(f39(f32(a24,f32(a34,a53)),f2(f9(a16,f4(a29))),a45))),
% 31.50/31.55 inference(scs_inference,[],[229,151,277,309,374,373,193,1959,1982,356,1998,168,156,363,292,165,280,364,169,354,351,154,1843,1932,1973,1780,1855,1770,1741,1951,1786,1783,1738,1965,1837,1917,1735,1918,1476,733,799,947,1948,917,615,616,497,537,613,602,469,530,546,536,436,502,628,645,556,538,433,685,531,500,612,555,533,618,457,700,532,687,491,639,543,535,508,572,524,464,617])).
% 31.50/31.55 cnf(2014,plain,
% 31.50/31.55 (P6(x20141,f6(x20142,f6(x20141,x20143,a47),a47),a47)),
% 31.50/31.55 inference(scs_inference,[],[229,151,277,309,374,373,193,1959,1982,121,356,1998,168,156,363,292,165,280,364,169,354,351,154,1843,1932,1973,1780,1855,1770,1741,1951,1786,1783,1738,1965,1837,1917,1735,1918,927,931,1476,733,799,947,1948,917,615,616,497,537,613,602,469,530,546,536,436,502,628,645,556,538,433,685,531,500,612,555,533,618,457,700,532,687,491,639,543,535,508,572,524,464,617,481])).
% 31.50/31.55 cnf(2019,plain,
% 31.50/31.55 (P6(x20191,f6(x20191,x20192,f48(x20193,a1)),f48(x20193,a1))),
% 31.50/31.55 inference(rename_variables,[],[193])).
% 31.50/31.55 cnf(2025,plain,
% 31.50/31.55 (~P14(f39(f22(f32(a34,a16),f25(x20251,f32(a24,a51))),f3(f9(a16,a50)),a45))),
% 31.50/31.55 inference(scs_inference,[],[229,151,277,309,374,373,193,1959,1982,2003,121,356,1998,160,168,156,363,292,165,280,364,169,354,351,154,1843,1932,1973,1780,1855,1770,1741,1951,1786,1783,1738,1965,1837,1917,1735,1918,927,931,780,1476,1441,733,799,947,1948,1962,917,615,616,497,537,613,602,469,530,546,536,436,502,628,645,556,538,433,685,531,500,612,555,533,618,457,700,532,687,491,639,543,535,508,572,524,464,617,481,557,485,504,629])).
% 31.50/31.55 cnf(2027,plain,
% 31.50/31.55 (~P14(f39(f25(f23(x20271),x20272),f3(f9(x20273,f4(a29))),a45))),
% 31.50/31.55 inference(scs_inference,[],[229,151,277,309,374,373,193,1959,1982,2003,121,356,1998,160,168,156,363,292,165,280,364,169,354,351,154,1843,1932,1973,1780,1855,1770,1741,1951,1786,1783,1738,1965,1837,1917,1735,1918,927,931,780,1476,1441,733,799,947,1948,1962,917,615,616,497,537,613,602,469,530,546,536,436,502,628,645,556,538,433,685,531,500,612,555,533,618,457,700,532,687,491,639,543,535,508,572,524,464,617,481,557,485,504,629,534])).
% 31.50/31.55 cnf(2029,plain,
% 31.50/31.55 (P14(f39(a56,f2(f9(a16,a50)),a45))),
% 31.50/31.55 inference(scs_inference,[],[229,151,277,309,374,373,193,1959,1982,2003,121,356,1998,160,168,156,363,292,165,280,364,169,354,351,154,1843,1932,1973,1780,1855,1770,1741,1951,1786,1783,1738,1965,1837,1917,1735,1918,927,931,780,1476,1441,733,799,947,1948,1962,917,615,616,497,537,613,602,469,530,546,536,436,502,628,645,556,538,433,685,531,500,612,555,533,618,457,700,532,687,491,639,543,535,508,572,524,464,617,481,557,485,504,629,534,682])).
% 31.50/31.55 cnf(2031,plain,
% 31.50/31.55 (~P14(f39(f25(f23(f42(x20311)),x20312),f2(f9(a16,x20311)),a45))),
% 31.50/31.55 inference(scs_inference,[],[229,151,277,309,374,373,193,1959,1982,2003,121,356,1998,160,168,156,363,292,165,280,364,169,354,351,154,1843,1932,1973,1780,1855,1770,1741,1951,1786,1783,1738,1965,1837,1917,1735,1918,927,931,780,774,1476,1441,733,799,947,1948,1962,917,615,616,497,537,613,602,469,530,546,536,436,502,628,645,556,538,433,685,531,500,612,555,533,618,457,700,532,687,491,639,543,535,508,572,524,464,617,481,557,485,504,629,534,682,559])).
% 31.50/31.55 cnf(2038,plain,
% 31.50/31.55 (~P6(f3(f9(a16,x20381)),f3(f33(f48(a45,a1))),f48(a45,a1))),
% 31.50/31.55 inference(scs_inference,[],[229,151,277,309,374,373,193,1959,1982,2003,121,356,1998,160,168,234,156,363,292,165,280,364,169,354,351,154,1843,1932,1973,1780,1855,1607,1770,1741,1951,1834,1786,1783,1738,1965,1837,1917,1735,1918,927,931,780,774,1476,1441,733,799,947,1948,1962,917,615,616,497,537,613,602,469,530,546,536,436,502,628,645,556,538,433,685,531,500,612,555,533,618,457,700,532,687,491,639,543,535,508,572,524,464,617,481,557,485,504,629,534,682,559,492,553,470])).
% 31.50/31.55 cnf(2043,plain,
% 31.50/31.55 (~P6(f35(f48(a45,a1)),f2(f9(x20431,f4(a29))),f6(f33(f48(x20432,a1)),f48(a45,a1),f48(x20432,a1)))),
% 31.50/31.55 inference(scs_inference,[],[229,294,151,277,309,374,373,163,193,1959,1982,2003,121,356,1998,160,168,234,156,363,292,165,280,364,169,354,351,154,1843,1932,1973,1780,1855,1607,1770,1768,1741,1951,1834,1786,1783,1738,1965,1837,1917,1735,1918,927,931,780,774,1476,1441,733,799,947,1948,1962,917,615,616,497,537,613,602,469,530,546,536,436,502,628,645,556,538,433,685,531,500,612,555,533,618,457,700,532,687,491,639,543,535,508,572,524,464,617,481,557,485,504,629,534,682,559,492,553,470,571,2,92])).
% 31.50/31.55 cnf(2051,plain,
% 31.50/31.55 (~E(f14(x20511,x20512,x20513),x20512)),
% 31.50/31.55 inference(rename_variables,[],[329])).
% 31.50/31.55 cnf(2058,plain,
% 31.50/31.55 (~P6(f35(f48(a45,a1)),f9(x20581,f4(a29)),f48(a45,a1))),
% 31.50/31.55 inference(scs_inference,[],[229,287,294,151,277,309,170,374,373,163,193,1959,1982,2003,2019,118,121,131,356,1998,160,168,234,156,363,292,329,165,280,364,169,354,351,154,1843,1932,1973,1780,1855,1849,1607,1770,1882,1768,1741,1951,1834,1786,1783,1738,1965,1837,1917,1735,1918,927,931,780,774,1476,1441,733,799,947,1948,1962,917,615,616,497,537,613,602,469,530,546,536,436,502,628,645,556,538,433,685,531,500,612,555,533,618,457,700,532,687,491,639,543,535,508,572,524,464,617,481,557,485,504,629,534,682,559,492,553,470,571,2,92,88,91,20,3,97,90,100,605,461])).
% 31.50/31.55 cnf(2062,plain,
% 31.50/31.55 (~P14(f39(f25(f32(a24,x20621),x20622),f26(f2(f33(f48(a45,a1)))),a45))),
% 31.50/31.55 inference(scs_inference,[],[229,287,294,151,277,309,170,374,373,163,193,1959,1982,2003,2019,118,121,131,356,1998,160,168,234,156,363,292,329,165,280,364,1941,169,354,351,154,1843,1932,1973,1780,1855,1849,1607,1770,1882,1768,1741,1951,1834,1786,1783,1738,1965,1837,1917,1735,1918,927,931,780,774,1476,1441,733,799,947,1948,1962,917,615,616,497,537,613,602,469,530,546,536,436,502,628,645,556,538,433,685,531,500,612,555,533,618,457,700,532,687,491,639,543,535,508,572,524,464,617,481,557,485,504,629,534,682,559,492,553,470,571,2,92,88,91,20,3,97,90,100,605,461,416,583])).
% 31.50/31.55 cnf(2067,plain,
% 31.50/31.55 (~P14(f39(f12(a17,x20671,f22(x20672,f25(x20673,f25(f21(x20674),f25(f32(a24,f32(a34,x20675)),x20676))))),f15(f14(f12(a16,x20677,f21(x20678)),f4(a29),a29),a29),a29))),
% 31.50/31.55 inference(scs_inference,[],[229,287,294,151,277,309,170,374,373,163,193,1959,1982,2003,2019,118,121,131,356,1998,160,168,234,156,363,292,329,165,280,1985,364,1941,169,354,351,154,1843,1932,1973,1780,1855,1849,1607,1770,1882,1768,1741,1951,1834,1786,1783,1738,1965,1837,1917,1735,1918,1639,927,931,780,774,1476,1441,733,799,947,1948,1962,917,615,616,497,537,613,602,469,530,546,536,436,502,628,645,556,538,433,685,531,500,612,555,533,618,457,700,532,687,491,639,543,535,508,572,524,464,617,481,557,485,504,629,534,682,559,492,553,470,571,2,92,88,91,20,3,97,90,100,605,461,416,583,493,708])).
% 31.50/31.55 cnf(2072,plain,
% 31.50/31.55 (~P14(f39(f23(x20721),f2(f40(f32(a24,f32(f36(x20722),x20723)),f2(f9(a16,f4(a29))),a45)),a45))),
% 31.50/31.55 inference(scs_inference,[],[229,287,294,151,277,309,170,374,373,163,193,1959,1982,2003,2019,233,118,121,131,356,1998,160,168,234,156,363,292,329,165,280,1985,364,1941,169,354,351,154,1843,1932,1973,1635,1780,1855,1849,1607,1770,1882,1768,1741,1951,1834,1786,1783,1738,1965,1837,1917,1735,1918,1639,927,931,780,774,1476,1441,1625,733,799,947,1948,1962,917,615,616,497,537,613,602,469,530,546,536,436,502,628,645,556,538,433,685,531,500,612,555,533,618,457,700,532,687,491,639,543,535,508,572,524,464,617,481,557,485,504,629,534,682,559,492,553,470,571,2,92,88,91,20,3,97,90,100,605,461,416,583,493,708,465,552])).
% 31.50/31.55 cnf(2077,plain,
% 31.50/31.55 (P14(f39(f22(a51,f25(f23(a54),f23(a54))),f2(f6(f9(a16,a50),f9(a16,f5(x20771,f14(f12(x20772,x20773,f25(x20774,x20775)),x20776,a29),a29)),f48(a45,a1))),a45))),
% 31.50/31.55 inference(scs_inference,[],[229,287,294,151,277,309,170,374,373,163,193,1959,1982,2003,2019,233,118,121,131,356,1998,160,168,234,156,363,292,329,165,280,1985,364,1941,169,354,351,154,1843,1932,1973,1635,1780,1855,1849,1607,1770,1882,1768,1741,1951,1834,1786,1783,1738,1965,1986,1837,1917,1735,1918,1639,927,931,780,774,1476,1441,1625,733,1176,799,947,1948,1962,917,615,616,497,537,613,602,469,530,546,536,436,502,628,645,556,538,433,685,531,500,612,555,533,618,457,700,532,687,491,639,543,535,508,572,524,464,617,481,557,485,504,629,534,682,559,492,553,470,571,2,92,88,91,20,3,97,90,100,605,461,416,583,493,708,465,552,462,664])).
% 31.50/31.55 cnf(2081,plain,
% 31.50/31.55 (P14(f32(f40(a38,x20811,x20812),f14(x20813,a37,x20814)))),
% 31.50/31.55 inference(scs_inference,[],[229,287,294,151,277,309,170,374,373,163,193,1959,1982,2003,2019,233,118,121,131,356,1998,160,168,234,156,363,292,329,2051,165,280,1985,364,1941,169,143,354,351,154,1843,1932,1973,1635,1780,1855,1708,1849,1607,1770,1882,1768,1741,1951,1834,1786,1783,1738,1965,1986,1837,1917,1735,1918,1639,927,931,780,774,1476,1441,1625,733,1176,799,947,1948,1962,917,615,616,497,537,613,602,469,530,546,536,436,502,628,645,556,538,433,685,531,500,612,555,533,618,457,700,532,687,491,639,543,535,508,572,524,464,617,481,557,485,504,629,534,682,559,492,553,470,571,2,92,88,91,20,3,97,90,100,605,461,416,583,493,708,465,552,462,664,98,547])).
% 31.50/31.55 cnf(2098,plain,
% 31.50/31.55 (~P14(f39(f23(x20981),f2(f2(f9(a16,f4(a29)))),a45))),
% 31.50/31.55 inference(scs_inference,[],[2072,604])).
% 31.50/31.55 cnf(2100,plain,
% 31.50/31.55 (~P14(f39(f25(x21001,f25(f32(a24,x21002),x21003)),f26(f2(f33(f48(a45,a1)))),a45))),
% 31.50/31.55 inference(scs_inference,[],[364,2072,2062,604,582])).
% 31.50/31.55 cnf(2101,plain,
% 31.50/31.55 (~P14(f39(x21011,f2(f33(f48(a45,a1))),a45))),
% 31.50/31.55 inference(rename_variables,[],[364])).
% 31.50/31.55 cnf(2105,plain,
% 31.50/31.55 (P14(f39(x21051,f3(f40(x21052,f9(a16,f5(x21053,f14(f12(x21054,x21055,f25(f32(a24,f32(a18,x21056)),f25(x21057,f22(x21056,x21051)))),x21058,a29),a29)),a45)),a45))),
% 31.50/31.55 inference(scs_inference,[],[167,364,2072,2062,1916,604,582,461,605])).
% 31.50/31.55 cnf(2108,plain,
% 31.50/31.55 (~P14(f39(x21081,f2(f33(f48(a45,a1))),a45))),
% 31.50/31.55 inference(rename_variables,[],[364])).
% 31.50/31.55 cnf(2110,plain,
% 31.50/31.55 (P14(f39(f22(f32(a34,a52),f25(f23(a55),f25(f21(a53),f25(f32(a24,a51),a56)))),f26(f2(f9(a16,a50))),a45))),
% 31.50/31.55 inference(scs_inference,[],[284,167,364,2101,2072,2062,1916,604,582,461,605,583,493])).
% 31.50/31.55 cnf(2114,plain,
% 31.50/31.55 (P14(f39(x21141,f3(f9(a16,f5(x21142,f14(f12(x21143,x21144,f25(x21141,x21145)),x21146,a29),a29))),a45))),
% 31.50/31.55 inference(rename_variables,[],[1837])).
% 31.50/31.55 cnf(2117,plain,
% 31.50/31.55 (P14(f39(x21171,f15(f14(x21172,f5(x21173,f14(x21171,x21174,x21175),x21175),x21175),x21175),x21175))),
% 31.50/31.55 inference(rename_variables,[],[1843])).
% 31.50/31.55 cnf(2118,plain,
% 31.50/31.55 (P14(f39(f32(x21181,x21182),f41(x21181,f35(f48(x21183,a1)),x21183,x21184),x21184))),
% 31.50/31.55 inference(rename_variables,[],[280])).
% 31.50/31.55 cnf(2120,plain,
% 31.50/31.55 (~P3(f19(x21201),f25(x21202,x21203),x21204)),
% 31.50/31.55 inference(scs_inference,[],[284,306,167,280,364,2101,2072,2062,1916,1843,1837,604,582,461,605,583,493,615,708,416])).
% 31.50/31.55 cnf(2126,plain,
% 31.50/31.55 (~P14(f39(f25(f23(x21261),x21262),f7(f4(a29)),a45))),
% 31.50/31.55 inference(scs_inference,[],[284,306,167,353,280,364,2101,1981,2072,2062,1916,1843,1837,604,582,461,605,583,493,615,708,416,436,462,536])).
% 31.50/31.55 cnf(2128,plain,
% 31.50/31.55 (P6(x21281,f6(x21282,f6(f6(x21283,x21281,a47),x21284,a47),a47),a47)),
% 31.50/31.55 inference(scs_inference,[],[284,306,167,114,353,280,364,2101,1981,2072,2062,1916,2014,1843,1837,604,582,461,605,583,493,615,708,416,436,462,536,502])).
% 31.50/31.55 cnf(2129,plain,
% 31.50/31.55 (P6(x21291,f6(x21292,f6(x21291,x21293,a47),a47),a47)),
% 31.50/31.55 inference(rename_variables,[],[2014])).
% 31.50/31.55 cnf(2137,plain,
% 31.50/31.55 (P6(x21371,f2(f2(f2(x21371))),f48(a45,a1))),
% 31.50/31.55 inference(scs_inference,[],[284,306,322,167,114,353,280,364,2101,349,1714,1981,1979,2072,2062,1916,1972,2014,1843,1837,604,582,461,605,583,493,615,708,416,436,462,536,502,685,613,469])).
% 31.50/31.55 cnf(2142,plain,
% 31.50/31.55 (P14(f39(x21421,f2(f9(a16,f5(x21422,f14(f12(x21423,x21424,f22(f32(a34,a16),x21421)),x21425,a29),a29))),a45))),
% 31.50/31.55 inference(rename_variables,[],[1970])).
% 31.50/31.55 cnf(2147,plain,
% 31.50/31.55 (P14(f39(x21471,f2(f9(a16,f5(x21472,f14(f12(x21473,x21474,f22(f32(a34,a16),f25(x21471,x21475))),x21476,a29),a29))),a45))),
% 31.50/31.55 inference(scs_inference,[],[284,306,322,167,114,353,280,2118,364,2101,349,1714,1981,1979,2072,2062,1970,2142,1916,1972,2014,1843,2117,1837,604,582,461,605,583,493,615,708,416,436,462,536,502,685,613,469,700,602,532])).
% 31.50/31.55 cnf(2148,plain,
% 31.50/31.55 (P14(f39(x21481,f2(f9(a16,f5(x21482,f14(f12(x21483,x21484,f22(f32(a34,a16),x21481)),x21485,a29),a29))),a45))),
% 31.50/31.55 inference(rename_variables,[],[1970])).
% 31.50/31.55 cnf(2152,plain,
% 31.50/31.55 (~P14(f39(f32(a24,f32(a34,a53)),f9(a16,f4(a29)),a45))),
% 31.50/31.55 inference(scs_inference,[],[284,306,322,167,258,114,353,280,2118,364,2101,349,1714,1981,1979,2012,2072,2062,1970,2142,1916,1972,2014,1843,2117,1837,604,582,461,605,583,493,615,708,416,436,462,536,502,685,613,469,700,602,532,555,491])).
% 31.50/31.55 cnf(2154,plain,
% 31.50/31.55 (~P14(f39(f22(x21541,f23(x21542)),f26(f40(f21(x21543),f40(f21(x21544),f26(f41(a24,x21545,a47,a45)),a45),a45)),a45))),
% 31.50/31.55 inference(scs_inference,[],[284,306,322,167,258,114,353,165,280,2118,364,2101,349,1714,1981,1979,2012,1994,2072,2062,1970,2142,1916,1972,2014,1843,2117,1837,604,582,461,605,583,493,615,708,416,436,462,536,502,685,613,469,700,602,532,555,491,639])).
% 31.50/31.55 cnf(2155,plain,
% 31.50/31.55 (P14(f39(f21(x21551),f26(x21552),a45))),
% 31.50/31.55 inference(rename_variables,[],[165])).
% 31.50/31.55 cnf(2159,plain,
% 31.50/31.55 (~P6(f9(a16,a50),f2(f33(f48(a45,a1))),f48(a45,a1))),
% 31.50/31.55 inference(scs_inference,[],[284,306,322,167,258,114,353,165,280,2118,364,2101,2108,349,1714,1981,1979,2012,1994,2077,2072,2062,1970,2142,1916,1972,2014,1843,2117,1837,604,582,461,605,583,493,615,708,416,436,462,536,502,685,613,469,700,602,532,555,491,639,530,552])).
% 31.50/31.55 cnf(2162,plain,
% 31.50/31.55 (P14(f39(f32(x21621,f22(f32(a34,a52),f25(f23(a55),f25(f21(a53),f25(f32(a24,a51),a56))))),f26(f41(x21621,f2(f9(a16,a50)),a45,a45)),a45))),
% 31.50/31.55 inference(scs_inference,[],[284,306,322,167,149,258,114,353,165,280,2118,364,2101,2108,349,1714,1981,1979,2012,1994,2077,2072,2062,1970,2142,1916,1972,2014,1843,2117,1837,604,582,461,605,583,493,615,708,416,436,462,536,502,685,613,469,700,602,532,555,491,639,530,552,645])).
% 31.50/31.55 cnf(2163,plain,
% 31.50/31.55 (P6(x21631,f26(x21631),f48(a45,a1))),
% 31.50/31.55 inference(rename_variables,[],[149])).
% 31.50/31.55 cnf(2168,plain,
% 31.50/31.55 (~P6(f7(a50),f7(f4(a29)),f48(a45,a1))),
% 31.50/31.55 inference(scs_inference,[],[284,306,322,167,166,149,258,114,353,292,165,280,2118,364,2101,2108,349,1714,1981,1997,1979,2012,1994,2077,2072,2062,1970,2142,1916,1972,2014,1569,1843,2117,1837,939,604,582,461,605,583,493,615,708,416,436,462,536,502,685,613,469,700,602,532,555,491,639,530,552,645,572,481])).
% 31.50/31.55 cnf(2169,plain,
% 31.50/31.55 (P6(f2(f9(a16,x21691)),f7(x21691),f48(a45,a1))),
% 31.50/31.55 inference(rename_variables,[],[166])).
% 31.50/31.55 cnf(2186,plain,
% 31.50/31.55 (~P14(f39(f25(x21861,f22(x21862,x21863)),f2(f9(x21864,f4(a29))),a45))),
% 31.50/31.55 inference(rename_variables,[],[1968])).
% 31.50/31.55 cnf(2193,plain,
% 31.50/31.55 (~P14(f39(f25(x21931,f23(x21932)),f9(x21933,f4(a29)),a45))),
% 31.50/31.55 inference(scs_inference,[],[284,306,375,322,167,166,2169,149,193,258,114,353,292,165,280,2118,364,2101,2108,363,349,1714,1981,1814,1997,1950,1979,2012,1968,1977,1994,2077,2072,2062,1970,2142,1916,1972,1428,2014,1569,1843,2117,1837,939,604,582,461,605,583,493,615,708,416,436,462,536,502,685,613,469,700,602,532,555,491,639,530,552,645,572,481,535,538,556,531,500,464,612,457,533,492])).
% 31.50/31.55 cnf(2195,plain,
% 31.50/31.55 (P6(x21951,f6(x21952,f6(f6(x21951,x21953,a47),x21954,a47),a47),a47)),
% 31.50/31.55 inference(scs_inference,[],[284,306,375,322,167,166,2169,149,193,258,114,353,292,165,280,2118,364,2101,2108,363,349,1714,1981,1814,1997,1950,1979,2012,1968,1977,1994,2077,2072,2062,1970,2142,1916,1972,1428,2014,2129,1569,1843,2117,1837,939,604,582,461,605,583,493,615,708,416,436,462,536,502,685,613,469,700,602,532,555,491,639,530,552,645,572,481,535,538,556,531,500,464,612,457,533,492,504])).
% 31.50/31.55 cnf(2199,plain,
% 31.50/31.55 (P14(f39(x21991,f7(f5(x21992,f14(f12(x21993,x21994,f22(f32(a34,a16),x21991)),x21995,a29),a29)),a45))),
% 31.50/31.55 inference(scs_inference,[],[284,306,375,322,167,166,2169,149,193,258,114,353,292,165,280,2118,364,2101,2108,363,349,1714,1981,1814,1997,1950,1979,2012,1968,1977,1994,2077,2072,2031,2062,1970,2142,2148,1916,1972,1428,2014,2129,1569,1843,2117,1837,939,604,582,461,605,583,493,615,708,416,436,462,536,502,685,613,469,700,602,532,555,491,639,530,552,645,572,481,535,538,556,531,500,464,612,457,533,492,504,687,559])).
% 31.50/31.55 cnf(2201,plain,
% 31.50/31.55 (~P6(f9(a16,f5(x22011,f14(f12(x22012,x22013,f25(f22(f32(a34,a53),f32(a24,a51)),f22(f32(a34,a16),f32(a24,f32(a34,a53))))),x22014,a29),a29)),f3(f9(a16,a50)),f48(a45,a1))),
% 31.50/31.55 inference(scs_inference,[],[284,306,375,322,167,166,2169,149,193,258,114,353,292,165,280,2118,364,2101,2108,363,349,360,1714,1981,1814,1997,1950,1979,2012,1968,1977,1994,2077,2072,2031,2062,1970,2142,2148,1648,1916,1972,1428,2014,2129,1569,1843,2117,1837,939,604,582,461,605,583,493,615,708,416,436,462,536,502,685,613,469,700,602,532,555,491,639,530,552,645,572,481,535,538,556,531,500,464,612,457,533,492,504,687,559,553])).
% 31.50/31.55 cnf(2205,plain,
% 31.50/31.55 (P6(f3(x22051),f2(x22051),f48(a45,a1))),
% 31.50/31.55 inference(rename_variables,[],[150])).
% 31.50/31.55 cnf(2220,plain,
% 31.50/31.55 (P14(f39(x22201,f3(f9(a16,f5(x22202,f14(f12(x22203,x22204,f25(f22(f32(a34,x22205),x22201),f32(a24,f32(a34,x22205)))),x22206,a29),a29))),a45))),
% 31.50/31.55 inference(scs_inference,[],[284,306,375,322,167,166,2169,257,149,2163,150,2205,192,193,258,114,160,353,292,165,280,2118,364,2101,2108,363,349,360,1714,1981,1814,1997,1950,1979,2012,1968,2186,1977,1994,2077,2072,2031,2062,1970,2142,2148,1648,1916,1972,1428,2014,2129,1569,1843,2117,1499,1837,2114,939,604,582,461,605,583,493,615,708,416,436,462,536,502,685,613,469,700,602,532,555,491,639,530,552,645,572,481,535,538,556,531,500,464,612,457,533,492,504,687,559,553,543,508,524,485,617,629])).
% 31.50/31.55 cnf(2228,plain,
% 31.50/31.55 (~P14(f32(f40(f25(x22281,x22282),f33(f48(x22283,a1)),x22284),f19(x22285)))),
% 31.50/31.55 inference(scs_inference,[],[284,306,375,322,167,166,2169,257,149,2163,150,2205,192,193,258,114,160,352,353,292,165,280,2118,364,2101,2108,363,349,360,1714,1981,1814,1997,1950,1979,2012,1968,2186,1977,1994,2077,2072,2031,2062,1970,2142,2148,1648,1916,1972,1428,2014,2129,1569,1843,2117,1499,1837,2114,939,604,582,461,605,583,493,615,708,416,436,462,536,502,685,613,469,700,602,532,555,491,639,530,552,645,572,481,535,538,556,531,500,464,612,457,533,492,504,687,559,553,543,508,524,485,617,629,682,534,547])).
% 31.50/31.55 cnf(2231,plain,
% 31.50/31.55 (P6(f6(x22311,x22312,f48(a45,a1)),f3(f6(f3(x22311),x22312,f48(a45,a1))),f48(a45,a1))),
% 31.50/31.55 inference(scs_inference,[],[284,306,375,322,167,166,2169,257,149,2163,150,2205,192,193,258,114,160,352,353,292,165,280,2118,364,2101,2108,363,349,360,1448,1714,1981,1814,1997,1950,1979,2012,1968,2186,1977,1994,2077,2072,2031,2062,1970,2142,2148,1648,1916,1972,1428,2014,2129,1569,1843,2117,1499,1837,2114,939,604,582,461,605,583,493,615,708,416,436,462,536,502,685,613,469,700,602,532,555,491,639,530,552,645,572,481,535,538,556,531,500,464,612,457,533,492,504,687,559,553,543,508,524,485,617,629,682,534,547,470])).
% 31.50/31.55 cnf(2233,plain,
% 31.50/31.55 (E(f40(x22331,x22332,x22333),f40(x22331,f40(x22331,x22332,x22333),x22333))),
% 31.50/31.55 inference(scs_inference,[],[284,306,189,375,322,167,166,2169,257,149,2163,150,2205,192,193,258,114,160,352,353,292,165,280,2118,364,2101,2108,363,349,360,1448,1714,1981,1814,1997,1950,1979,2012,1968,2186,1977,1994,2077,2072,2031,2062,1970,2142,2148,1648,1916,1972,1428,2014,2129,1569,1843,2117,1499,1837,2114,939,604,582,461,605,583,493,615,708,416,436,462,536,502,685,613,469,700,602,532,555,491,639,530,552,645,572,481,535,538,556,531,500,464,612,457,533,492,504,687,559,553,543,508,524,485,617,629,682,534,547,470,2])).
% 31.50/31.55 cnf(2234,plain,
% 31.50/31.55 (~P6(f35(f48(a45,a1)),f2(f9(x22341,f4(a29))),f6(f33(f48(x22342,a1)),f6(f33(f48(x22342,a1)),f48(a45,a1),f48(x22342,a1)),f48(x22342,a1)))),
% 31.50/31.55 inference(scs_inference,[],[284,306,189,375,322,203,167,166,2169,257,149,2163,150,2205,192,193,258,114,160,352,353,292,165,280,2118,364,2101,2108,363,349,360,1448,1714,1981,2043,1814,1997,1950,1979,2012,1968,2186,1977,1994,2077,2072,2031,2062,1970,2142,2148,1648,1916,1972,1428,2014,2129,1569,1843,2117,1499,1837,2114,939,604,582,461,605,583,493,615,708,416,436,462,536,502,685,613,469,700,602,532,555,491,639,530,552,645,572,481,535,538,556,531,500,464,612,457,533,492,504,687,559,553,543,508,524,485,617,629,682,534,547,470,2,92])).
% 31.50/31.55 cnf(2236,plain,
% 31.50/31.55 (~P6(f14(x22361,f33(f48(x22362,a1)),x22363),f15(f4(x22362),x22362),f48(x22362,a1))),
% 31.50/31.55 inference(scs_inference,[],[284,306,189,130,375,322,203,736,167,166,2169,257,149,2163,150,2205,192,193,258,114,160,352,353,292,165,280,2118,364,2101,2108,363,349,360,1448,1714,1981,2043,1814,1997,1950,1979,2012,1968,2186,1977,1994,2077,2072,2031,2062,1970,2142,2148,1648,1916,1972,1428,2014,2129,1569,1843,2117,1499,1837,2114,939,604,582,461,605,583,493,615,708,416,436,462,536,502,685,613,469,700,602,532,555,491,639,530,552,645,572,481,535,538,556,531,500,464,612,457,533,492,504,687,559,553,543,508,524,485,617,629,682,534,547,470,2,92,91])).
% 31.50/31.55 cnf(2237,plain,
% 31.50/31.55 (~P6(f14(x22371,f33(f48(x22372,a1)),x22373),f33(f48(x22372,a1)),f48(x22372,a1))),
% 31.50/31.55 inference(rename_variables,[],[736])).
% 31.50/31.55 cnf(2259,plain,
% 31.50/31.55 (P14(f39(x22591,f3(f9(a16,f14(x22592,f5(x22593,f14(f12(x22594,x22595,f22(f32(a34,a16),x22591)),x22596,a29),a29),a29))),a45))),
% 31.50/31.55 inference(scs_inference,[],[284,116,306,327,340,189,130,375,322,203,736,2237,167,166,2169,257,727,138,139,129,149,2163,150,2205,192,193,258,114,160,352,353,292,165,2155,280,2118,364,2101,2108,363,349,154,360,1448,1714,847,1775,1981,2043,1814,1997,1950,1979,2012,1968,2186,1977,1994,2077,2072,2031,2062,1970,2142,2148,1648,1916,1931,1972,1428,2014,2129,1527,1569,1843,2117,1623,1499,1837,2114,939,604,582,461,605,583,493,615,708,416,436,462,536,502,685,613,469,700,602,532,555,491,639,530,552,645,572,481,535,538,556,531,500,464,612,457,533,492,504,687,559,553,543,508,524,485,617,629,682,534,547,470,2,92,91,98,88,20,3,97,90,94,606,659,465,546,433,628])).
% 31.50/31.55 cnf(2291,plain,
% 31.50/31.55 (~E(f5(f14(x22911,f4(x22912),x22913),x22914,x22912),x22914)),
% 31.50/31.55 inference(rename_variables,[],[739])).
% 31.50/31.55 cnf(2293,plain,
% 31.50/31.55 (P6(x22931,f26(f26(x22931)),f48(a45,a1))),
% 31.50/31.55 inference(scs_inference,[],[308,739,149,168,941,623,475,413,400,565,471])).
% 31.50/31.55 cnf(2296,plain,
% 31.50/31.55 (~E(f5(f5(f14(x22961,f4(x22962),x22963),f4(x22964),x22962),x22965,x22964),x22965)),
% 31.50/31.55 inference(scs_inference,[],[308,739,2291,149,168,941,623,475,413,400,565,471,420])).
% 31.50/31.55 cnf(2297,plain,
% 31.50/31.55 (~E(f5(f14(x22971,f4(x22972),x22973),x22974,x22972),x22974)),
% 31.50/31.55 inference(rename_variables,[],[739])).
% 31.50/31.55 cnf(2299,plain,
% 31.50/31.55 (P14(f39(f32(a24,x22991),f3(f6(f41(a24,f15(f5(x22992,f14(x22991,x22993,a47),a47),a47),a47,a45),x22994,f48(a45,a1))),a45))),
% 31.50/31.55 inference(scs_inference,[],[308,739,2291,149,281,168,941,623,475,413,400,565,471,420,692])).
% 31.50/31.55 cnf(2300,plain,
% 31.50/31.55 (P14(f39(x23001,f15(f5(x23002,f14(x23001,x23003,x23004),x23004),x23004),x23004))),
% 31.50/31.55 inference(rename_variables,[],[281])).
% 31.50/31.55 cnf(2304,plain,
% 31.50/31.55 (P14(f39(f32(a18,f32(a34,a52)),f20(f2(f9(a16,a50))),a47))),
% 31.50/31.55 inference(scs_inference,[],[284,308,206,739,2291,149,281,168,941,623,475,413,400,565,471,420,692,598,548])).
% 31.50/31.55 cnf(2313,plain,
% 31.50/31.55 (~E(f5(f14(x23131,f4(x23132),x23133),x23134,x23132),x23134)),
% 31.50/31.55 inference(rename_variables,[],[739])).
% 31.50/31.55 cnf(2316,plain,
% 31.50/31.55 (~E(f5(f14(x23161,f4(x23162),x23163),x23164,x23162),x23164)),
% 31.50/31.55 inference(rename_variables,[],[739])).
% 31.50/31.55 cnf(2319,plain,
% 31.50/31.55 (~E(f5(f14(x23191,f4(x23192),x23193),x23194,x23192),x23194)),
% 31.50/31.55 inference(rename_variables,[],[739])).
% 31.50/31.55 cnf(2322,plain,
% 31.50/31.55 (P14(f39(f19(f21(x23221)),f26(x23222),a45))),
% 31.50/31.55 inference(rename_variables,[],[1203])).
% 31.50/31.55 cnf(2325,plain,
% 31.50/31.55 (P14(f39(f19(f21(x23251)),f26(x23252),a45))),
% 31.50/31.55 inference(rename_variables,[],[1203])).
% 31.50/31.55 cnf(2329,plain,
% 31.50/31.55 (P6(f40(f22(x23291,x23292),f3(f40(x23292,f6(f41(a24,f40(f32(a18,x23291),x23293,a47),a47,a45),x23294,f48(a45,a1)),a45)),a45),f3(f40(f22(x23291,x23292),f6(f41(a24,f40(f32(a18,x23291),x23293,a47),a47,a45),x23294,f48(a45,a1)),a45)),f48(a45,a1))),
% 31.50/31.55 inference(scs_inference,[],[284,308,206,739,2291,2297,2313,2316,149,281,168,361,1662,1169,1154,941,1203,2322,623,475,413,400,565,471,420,692,598,548,528,527,511,455,454,423,649,626,496,657])).
% 31.50/31.55 cnf(2333,plain,
% 31.50/31.55 (P14(f39(f19(f21(x23331)),f26(x23332),a45))),
% 31.50/31.55 inference(rename_variables,[],[1203])).
% 31.50/31.55 cnf(2336,plain,
% 31.50/31.55 (~P14(f39(f32(f36(x23361),x23362),f41(a34,x23363,a46,a47),a47))),
% 31.50/31.55 inference(rename_variables,[],[371])).
% 31.50/31.55 cnf(2344,plain,
% 31.50/31.55 (P14(f39(f14(f12(a16,x23441,f19(f21(x23442))),f4(a29),a29),a31,f44(a29)))),
% 31.50/31.55 inference(scs_inference,[],[284,308,206,371,739,2291,2297,2313,2316,325,149,281,168,361,156,1662,1169,1154,941,1203,2322,2325,2333,1979,1843,623,475,413,400,565,471,420,692,598,548,528,527,511,455,454,423,649,626,496,657,603,681,459,606,659])).
% 31.50/31.55 cnf(2347,plain,
% 31.50/31.55 (P14(f39(f22(f32(a34,a52),f25(f23(a55),f25(f21(a53),f25(f32(a24,a51),a56)))),f2(f40(x23471,f9(a16,a50),a45)),a45))),
% 31.50/31.55 inference(scs_inference,[],[284,308,206,371,739,2291,2297,2313,2316,325,149,281,168,361,156,1662,1169,1154,941,1203,2322,2325,2333,1979,1843,623,475,413,400,565,471,420,692,598,548,528,527,511,455,454,423,649,626,496,657,603,681,459,606,659,604])).
% 31.50/31.55 cnf(2349,plain,
% 31.50/31.55 (P4(f15(f14(x23491,x23492,x23493),x23493),x23491)),
% 31.50/31.55 inference(scs_inference,[],[284,308,206,186,371,739,2291,2297,2313,2316,325,731,149,281,168,361,156,1662,1169,1154,941,1203,2322,2325,2333,1979,1843,623,475,413,400,565,471,420,692,598,548,528,527,511,455,454,423,649,626,496,657,603,681,459,606,659,604,95])).
% 31.50/31.55 cnf(2350,plain,
% 31.50/31.55 (P6(x23501,f6(x23502,f6(f6(f6(x23503,f6(f6(x23504,x23501,a47),x23505,a47),a47),x23506,a47),x23507,a47),a47),a47)),
% 31.50/31.55 inference(scs_inference,[],[284,308,206,186,371,739,2291,2297,2313,2316,325,731,118,149,281,168,361,156,1662,1169,1154,941,2128,2195,1203,2322,2325,2333,1979,1843,623,475,413,400,565,471,420,692,598,548,528,527,511,455,454,423,649,626,496,657,603,681,459,606,659,604,95,480])).
% 31.50/31.55 cnf(2354,plain,
% 31.50/31.55 (~P14(f39(f32(a24,f32(a34,a53)),f26(f9(a16,f4(a29))),a45))),
% 31.50/31.55 inference(scs_inference,[],[284,308,206,186,371,739,2291,2297,2313,2316,325,731,118,149,281,168,361,156,1662,2152,2154,1169,1154,941,2128,2195,1203,2322,2325,2333,1979,1843,623,475,413,400,565,471,420,692,598,548,528,527,511,455,454,423,649,626,496,657,603,681,459,606,659,604,95,480,493,546])).
% 31.50/31.55 cnf(2356,plain,
% 31.50/31.55 (~P14(f32(f41(a34,x23561,a46,a47),f32(f36(x23562),x23563)))),
% 31.50/31.55 inference(scs_inference,[],[284,308,206,186,371,2336,739,2291,2297,2313,2316,325,731,118,149,281,168,361,156,1662,2152,2154,1169,1154,941,2128,2195,1203,2322,2325,2333,1979,1843,623,475,413,400,565,471,420,692,598,548,528,527,511,455,454,423,649,626,496,657,603,681,459,606,659,604,95,480,493,546,436])).
% 31.50/31.55 cnf(2358,plain,
% 31.50/31.55 (P14(f39(x23581,f7(f5(x23582,f14(f11(x23583,f25(x23584,f25(x23581,x23585))),x23586,a29),a29)),a45))),
% 31.50/31.55 inference(scs_inference,[],[284,308,206,186,371,2336,739,2291,2297,2313,2316,325,731,118,149,281,168,361,156,1662,2152,1423,2154,1169,1154,941,2128,2195,1203,2322,2325,2333,1979,1843,623,475,413,400,565,471,420,692,598,548,528,527,511,455,454,423,649,626,496,657,603,681,459,606,659,604,95,480,493,546,436,536])).
% 31.50/31.55 cnf(2359,plain,
% 31.50/31.55 (P14(f39(x23591,f7(f5(x23592,f14(f11(x23593,f25(x23594,x23591)),x23595,a29),a29)),a45))),
% 31.50/31.55 inference(rename_variables,[],[1423])).
% 31.50/31.55 cnf(2372,plain,
% 31.50/31.55 (P6(x23721,f40(x23722,x23721,x23723),f48(x23723,a1))),
% 31.50/31.55 inference(rename_variables,[],[179])).
% 31.50/31.55 cnf(2375,plain,
% 31.50/31.55 (~E(f5(f14(x23751,f4(x23752),x23753),x23754,x23752),x23754)),
% 31.50/31.55 inference(rename_variables,[],[739])).
% 31.50/31.55 cnf(2379,plain,
% 31.50/31.55 (P6(f33(f48(x23791,a1)),x23792,f48(x23791,a1))),
% 31.50/31.55 inference(rename_variables,[],[161])).
% 31.50/31.55 cnf(2382,plain,
% 31.50/31.55 (P14(f39(x23821,f26(f40(x23821,x23822,a45)),a45))),
% 31.50/31.55 inference(scs_inference,[],[284,308,206,186,371,2336,739,2291,2297,2313,2316,2319,325,235,731,161,179,118,149,281,2300,168,361,156,280,350,1662,1615,2152,1423,2154,2162,1169,1154,941,2128,2195,776,1203,2322,2325,2333,1418,1979,1510,1843,939,947,623,475,413,400,565,471,420,692,598,548,528,527,511,455,454,423,649,626,496,657,603,681,459,606,659,604,95,480,493,546,436,536,700,602,639,502,572,481,538])).
% 31.50/31.55 cnf(2385,plain,
% 31.50/31.55 (~E(f5(f14(x23851,f4(x23852),x23853),x23854,x23852),x23854)),
% 31.50/31.55 inference(rename_variables,[],[739])).
% 31.50/31.55 cnf(2387,plain,
% 31.50/31.55 (~P6(f6(f35(f48(a45,a1)),x23871,f48(a45,a1)),f9(x23872,f4(a29)),f48(a45,a1))),
% 31.50/31.55 inference(scs_inference,[],[284,308,206,186,371,2336,739,2291,2297,2313,2316,2319,2375,325,235,731,161,179,118,149,281,2300,168,361,156,280,350,2058,1662,1615,2152,1423,2154,2162,1169,1154,941,2128,2195,776,1203,2322,2325,2333,1418,1446,1979,1510,1843,939,947,623,475,413,400,565,471,420,692,598,548,528,527,511,455,454,423,649,626,496,657,603,681,459,606,659,604,95,480,493,546,436,536,700,602,639,502,572,481,538,685,556])).
% 31.50/31.55 cnf(2389,plain,
% 31.50/31.55 (~P14(f39(f25(f23(x23891),x23892),f2(f2(f9(a16,f4(a29)))),a45))),
% 31.50/31.55 inference(scs_inference,[],[284,308,206,186,371,2336,739,2291,2297,2313,2316,2319,2375,325,235,731,161,179,118,149,281,2300,168,361,156,280,350,2058,1662,1615,2152,2098,1423,2154,2162,1169,1154,941,2128,2195,776,1203,2322,2325,2333,1418,1446,1979,1510,1843,939,947,623,475,413,400,565,471,420,692,598,548,528,527,511,455,454,423,649,626,496,657,603,681,459,606,659,604,95,480,493,546,436,536,700,602,639,502,572,481,538,685,556,532])).
% 31.50/31.55 cnf(2392,plain,
% 31.50/31.55 (P6(x23921,f40(x23922,x23921,x23923),f48(x23923,a1))),
% 31.50/31.55 inference(rename_variables,[],[179])).
% 31.50/31.55 cnf(2394,plain,
% 31.50/31.55 (P14(f39(f22(f32(a34,a52),f25(f23(a55),f25(f21(a53),f25(f32(a24,a51),a56)))),f3(f9(a16,a50)),a45))),
% 31.50/31.55 inference(scs_inference,[],[284,308,206,186,371,2336,739,2291,2297,2313,2316,2319,2375,325,235,731,161,179,2372,118,149,281,2300,168,361,156,280,350,2058,1662,1615,2152,2098,1423,2154,2162,1169,1154,941,2128,2195,776,1203,2322,2325,2333,1418,1446,1979,1510,1843,939,947,917,623,475,413,400,565,471,420,692,598,548,528,527,511,455,454,423,649,626,496,657,603,681,459,606,659,604,95,480,493,546,436,536,700,602,639,502,572,481,538,685,556,532,504,613])).
% 31.50/31.55 cnf(2396,plain,
% 31.50/31.55 (P14(f39(x23961,f2(f40(x23962,f9(a16,f5(x23963,f14(f12(x23964,x23965,f25(f32(a24,f32(a18,x23966)),f25(x23967,f22(x23966,x23961)))),x23968,a29),a29)),a45)),a45))),
% 31.50/31.55 inference(scs_inference,[],[284,308,206,186,371,2336,739,2291,2297,2313,2316,2319,2375,325,235,731,161,179,2372,118,149,281,2300,168,361,156,280,350,2058,1662,1615,2152,2098,1423,2154,2105,2162,1169,1154,941,2128,2195,776,1203,2322,2325,2333,1418,1446,1979,1510,1843,939,947,917,623,475,413,400,565,471,420,692,598,548,528,527,511,455,454,423,649,626,496,657,603,681,459,606,659,604,95,480,493,546,436,536,700,602,639,502,572,481,538,685,556,532,504,613,500])).
% 31.50/31.55 cnf(2403,plain,
% 31.50/31.55 (P14(f39(x24031,f3(f9(a16,f5(x24032,f14(f12(x24033,x24034,f25(f22(f32(a34,x24035),f25(x24036,x24031)),f25(x24037,f32(a24,f32(a34,x24035))))),x24038,a29),a29))),a45))),
% 31.50/31.55 inference(scs_inference,[],[284,308,206,186,371,2336,739,2291,2297,2313,2316,2319,2375,325,235,731,161,179,2372,118,149,281,2300,168,361,156,280,350,2058,2159,1662,1615,2152,2098,1423,2154,2105,2162,1920,1169,1154,941,2128,2195,776,1203,2322,2325,2333,1418,1446,1979,1510,1843,939,947,917,623,475,413,400,565,471,420,692,598,548,528,527,511,455,454,423,649,626,496,657,603,681,459,606,659,604,95,480,493,546,436,536,700,602,639,502,572,481,538,685,556,532,504,613,500,571,14,469,533])).
% 31.50/31.55 cnf(2404,plain,
% 31.50/31.55 (P14(f39(x24041,f3(f9(a16,f5(x24042,f14(f12(x24043,x24044,f25(f22(f32(a34,x24045),x24041),f25(x24046,f32(a24,f32(a34,x24045))))),x24047,a29),a29))),a45))),
% 31.50/31.55 inference(rename_variables,[],[1920])).
% 31.50/31.55 cnf(2410,plain,
% 31.50/31.55 (P14(f39(f22(f32(a34,a52),f25(f23(a55),f25(f21(a53),f25(f32(a24,a51),a56)))),f2(f2(f9(a16,a50))),a45))),
% 31.50/31.55 inference(scs_inference,[],[284,308,206,186,371,2336,739,2291,2297,2313,2316,2319,2375,325,235,731,161,179,2372,118,149,281,2300,168,361,156,280,350,2058,2159,1662,1615,2152,2098,1423,2154,2105,2162,1920,1169,1154,941,2128,2195,776,1203,2322,2325,2333,1418,1446,1979,1510,1843,939,947,917,623,475,413,400,565,471,420,692,598,548,528,527,511,455,454,423,649,626,496,657,603,681,459,606,659,604,95,480,493,546,436,536,700,602,639,502,572,481,538,685,556,532,504,613,500,571,14,469,533,555,530,491])).
% 31.50/31.55 cnf(2413,plain,
% 31.50/31.55 (P6(x24131,f40(x24132,x24131,x24133),f48(x24133,a1))),
% 31.50/31.55 inference(rename_variables,[],[179])).
% 31.50/31.55 cnf(2416,plain,
% 31.50/31.55 (~E(f5(f14(x24161,f4(x24162),x24163),x24164,x24162),x24164)),
% 31.50/31.55 inference(rename_variables,[],[739])).
% 31.50/31.55 cnf(2420,plain,
% 31.50/31.55 (P14(f39(x24201,f2(f9(a16,f5(x24202,f14(f12(x24203,x24204,f22(f32(a34,a16),f25(x24201,x24205))),x24206,a29),a29))),a45))),
% 31.50/31.55 inference(rename_variables,[],[2147])).
% 31.50/31.55 cnf(2425,plain,
% 31.50/31.55 (P14(f39(x24251,f3(f9(a16,f5(x24252,f14(f12(x24253,x24254,f25(f22(f32(a34,x24255),f22(f32(a34,x24255),x24251)),f32(a24,f32(a34,x24255)))),x24256,a29),a29))),a45))),
% 31.50/31.55 inference(scs_inference,[],[284,308,206,186,371,2336,739,2291,2297,2313,2316,2319,2375,2385,325,235,731,161,179,2372,2392,118,149,281,2300,160,168,361,156,280,350,2228,2058,2159,1662,1615,2152,2098,1423,2154,2105,2162,2147,1920,2220,1169,1154,941,2128,2195,776,1203,2322,2325,2333,1418,1446,1979,1510,1843,1499,939,947,917,623,475,413,400,565,471,420,692,598,548,528,527,511,455,454,423,649,626,496,657,603,681,459,606,659,604,95,480,493,546,436,536,700,602,639,502,572,481,538,685,556,532,504,613,500,571,14,469,533,555,530,491,645,485,617,457,629])).
% 31.50/31.55 cnf(2432,plain,
% 31.50/31.55 (P14(f32(f2(f9(a16,a50)),f22(f32(a34,a52),f25(f23(a55),f25(f21(a53),f25(f32(a24,a51),a56))))))),
% 31.50/31.55 inference(scs_inference,[],[284,308,206,186,371,2336,739,2291,2297,2313,2316,2319,2375,2385,325,235,731,161,179,2372,2392,118,149,281,2300,160,168,361,156,280,350,2228,2058,2159,1662,1615,2152,2098,1423,2359,2154,2105,2162,2147,1920,2220,1169,1154,941,2128,2195,776,1203,2322,2325,2333,1418,1446,1979,1510,1843,1499,939,947,917,623,475,413,400,565,471,420,692,598,548,528,527,511,455,454,423,649,626,496,657,603,681,459,606,659,604,95,480,493,546,436,536,700,602,639,502,572,481,538,685,556,532,504,613,500,571,14,469,533,555,530,491,645,485,617,457,629,535,464])).
% 31.50/31.55 cnf(2434,plain,
% 31.50/31.55 (P14(f39(x24341,f2(f9(a16,f5(x24342,f14(f12(x24343,x24344,f22(f32(a34,a16),f25(f25(x24345,x24341),x24346))),x24347,a29),a29))),a45))),
% 31.50/31.55 inference(scs_inference,[],[284,308,206,186,371,2336,739,2291,2297,2313,2316,2319,2375,2385,325,235,731,161,179,2372,2392,118,149,281,2300,160,168,361,156,280,350,2228,2058,2159,1662,1615,2152,2098,1423,2359,2154,2105,2162,2147,2420,1920,2220,1169,1154,941,2128,2195,776,1203,2322,2325,2333,1418,1446,1979,1510,1843,1499,939,947,917,623,475,413,400,565,471,420,692,598,548,528,527,511,455,454,423,649,626,496,657,603,681,459,606,659,604,95,480,493,546,436,536,700,602,639,502,572,481,538,685,556,532,504,613,500,571,14,469,533,555,530,491,645,485,617,457,629,535,464,531])).
% 31.50/31.55 cnf(2440,plain,
% 31.50/31.55 (~P14(f39(f32(a24,f32(a34,a52)),f3(f9(a16,f4(a29))),a45))),
% 31.50/31.55 inference(scs_inference,[],[284,308,206,186,371,2336,739,2291,2297,2313,2316,2319,2375,2385,325,235,731,161,179,2372,2392,118,149,281,2300,160,168,361,156,280,350,2228,2058,2159,1662,1615,2152,2098,1423,2359,2154,2105,2162,2147,2420,1920,2404,2220,1169,1154,941,2128,2195,776,1203,2322,2325,2333,1418,1446,1979,1510,1843,1499,939,947,917,623,475,413,400,565,471,420,692,598,548,528,527,511,455,454,423,649,626,496,657,603,681,459,606,659,604,95,480,493,546,436,536,700,602,639,502,572,481,538,685,556,532,504,613,500,571,14,469,533,555,530,491,645,485,617,457,629,535,464,531,534,618])).
% 31.50/31.55 cnf(2442,plain,
% 31.50/31.55 (~P14(f39(f25(x24421,f23(f42(x24422))),f2(f9(a16,x24422)),a45))),
% 31.50/31.55 inference(scs_inference,[],[284,308,206,186,371,2336,739,2291,2297,2313,2316,2319,2375,2385,325,235,731,161,179,2372,2392,118,149,281,2300,160,168,361,156,280,350,2228,2058,2159,1662,1615,2152,2098,1423,2359,2154,2105,2162,2147,2420,1920,2404,2220,1169,1154,941,2128,2195,776,1203,2322,2325,2333,1418,1446,1979,1510,1843,1499,939,947,917,623,475,413,400,565,471,420,692,598,548,528,527,511,455,454,423,649,626,496,657,603,681,459,606,659,604,95,480,493,546,436,536,700,602,639,502,572,481,538,685,556,532,504,613,500,571,14,469,533,555,530,491,645,485,617,457,629,535,464,531,534,618,559])).
% 31.50/31.55 cnf(2444,plain,
% 31.50/31.55 (P14(f39(f22(f32(a34,a52),f25(f23(a55),f25(f21(a53),f25(f32(a24,a51),a56)))),f3(f2(f9(a16,a50))),a45))),
% 31.50/31.55 inference(scs_inference,[],[284,308,206,186,371,2336,739,2291,2297,2313,2316,2319,2375,2385,325,235,731,161,179,2372,2392,118,149,281,2300,160,168,361,156,280,350,2228,2058,2159,1662,1615,2152,2098,1423,2359,2154,2105,2162,2147,2420,1920,2404,2220,1169,1154,941,2128,2195,776,1203,2322,2325,2333,1418,1446,1979,1510,1843,1499,939,947,917,623,475,413,400,565,471,420,692,598,548,528,527,511,455,454,423,649,626,496,657,603,681,459,606,659,604,95,480,493,546,436,536,700,602,639,502,572,481,538,685,556,532,504,613,500,571,14,469,533,555,530,491,645,485,617,457,629,535,464,531,534,618,559,492])).
% 31.50/31.55 cnf(2446,plain,
% 31.50/31.55 (P14(f39(x24461,f2(f40(x24461,x24462,a45)),a45))),
% 31.50/31.55 inference(scs_inference,[],[284,308,206,186,371,2336,739,2291,2297,2313,2316,2319,2375,2385,325,235,731,161,233,179,2372,2392,118,149,281,2300,160,168,361,156,280,350,801,2228,2058,2159,1662,1615,2152,2098,1423,2359,2154,2105,2162,2147,2420,1920,2404,2220,1169,1154,941,2128,2195,776,1203,2322,2325,2333,1418,1446,1979,1510,1843,1499,939,947,917,623,475,413,400,565,471,420,692,598,548,528,527,511,455,454,423,649,626,496,657,603,681,459,606,659,604,95,480,493,546,436,536,700,602,639,502,572,481,538,685,556,532,504,613,500,571,14,469,533,555,530,491,645,485,617,457,629,535,464,531,534,618,559,492,543])).
% 31.50/31.55 cnf(2450,plain,
% 31.50/31.55 (P14(f32(f40(a37,x24501,x24502),f5(f14(x24503,f4(x24504),x24505),a38,x24504)))),
% 31.50/31.55 inference(scs_inference,[],[284,308,206,186,371,2336,739,2291,2297,2313,2316,2319,2375,2385,2416,325,235,731,161,233,179,2372,2392,118,149,281,2300,160,168,361,156,280,350,801,2228,2058,2159,1662,1615,2152,2098,1423,2359,2154,2105,2162,2147,2420,1920,2404,2220,1169,1154,941,2128,2195,1397,776,1203,2322,2325,2333,1418,1446,1979,1510,1843,1499,939,947,917,623,475,413,400,565,471,420,692,598,548,528,527,511,455,454,423,649,626,496,657,603,681,459,606,659,604,95,480,493,546,436,536,700,602,639,502,572,481,538,685,556,532,504,613,500,571,14,469,533,555,530,491,645,485,617,457,629,535,464,531,534,618,559,492,543,547])).
% 31.50/31.55 cnf(2459,plain,
% 31.50/31.55 (P6(x24591,f40(x24592,x24591,x24593),f48(x24593,a1))),
% 31.50/31.55 inference(rename_variables,[],[179])).
% 31.50/31.55 cnf(2467,plain,
% 31.50/31.55 (P3(f2(f2(x24671)),f2(x24671),x24672)),
% 31.50/31.55 inference(scs_inference,[],[284,308,324,206,123,186,371,2336,739,2291,2297,2313,2316,2319,2375,2385,2416,325,235,277,731,736,161,2379,233,179,2372,2392,2413,118,149,281,2300,133,160,168,361,156,280,350,2233,801,2228,2058,2159,1662,2201,1615,2152,2098,1423,2359,2154,2105,2162,2147,2420,1920,2404,2220,1169,1154,941,2128,2195,1397,776,1203,2322,2325,2333,1418,1446,1979,1510,1014,1843,1499,939,947,917,623,475,413,400,565,471,420,692,598,548,528,527,511,455,454,423,649,626,496,657,603,681,459,606,659,604,95,480,493,546,436,536,700,602,639,502,572,481,538,685,556,532,504,613,500,571,14,469,533,555,530,491,645,485,617,457,629,535,464,531,534,618,559,492,543,547,524,470,508,92,2,91,98])).
% 31.50/31.55 cnf(2468,plain,
% 31.50/31.55 (P3(x24681,x24681,x24682)),
% 31.50/31.55 inference(rename_variables,[],[133])).
% 31.50/31.55 cnf(2469,plain,
% 31.50/31.55 (~P14(f6(f39(f32(f36(x24691),x24692),f41(a34,x24693,a46,a47),a47),f33(f48(x24694,a1)),f48(x24694,a1)))),
% 31.50/31.55 inference(scs_inference,[],[284,308,324,206,123,186,371,2336,739,2291,2297,2313,2316,2319,2375,2385,2416,325,235,277,162,731,736,161,2379,233,179,2372,2392,2413,118,149,281,2300,133,160,168,361,156,280,350,2233,801,2228,2058,2159,1662,2201,1615,2152,2098,1423,2359,2154,2105,2162,2147,2420,1920,2404,2220,1169,1154,941,2128,2195,1397,776,1203,2322,2325,2333,1418,1446,1979,1510,1014,1843,1499,939,947,917,623,475,413,400,565,471,420,692,598,548,528,527,511,455,454,423,649,626,496,657,603,681,459,606,659,604,95,480,493,546,436,536,700,602,639,502,572,481,538,685,556,532,504,613,500,571,14,469,533,555,530,491,645,485,617,457,629,535,464,531,534,618,559,492,543,547,524,470,508,92,2,91,98,88])).
% 31.50/31.55 cnf(2471,plain,
% 31.50/31.55 (P3(f2(x24711),f2(f2(x24711)),x24712)),
% 31.50/31.55 inference(scs_inference,[],[284,308,324,206,123,186,371,2336,739,2291,2297,2313,2316,2319,2375,2385,2416,325,235,277,162,731,736,161,2379,233,179,2372,2392,2413,118,149,281,2300,133,2468,160,168,361,156,280,350,2233,801,2228,2058,2159,1662,2201,1615,2152,2098,1423,2359,2154,2105,2162,2147,2420,1920,2404,2220,1169,1154,941,2128,2195,1397,776,1203,2322,2325,2333,1418,1446,1979,1510,1014,1843,1499,939,947,917,623,475,413,400,565,471,420,692,598,548,528,527,511,455,454,423,649,626,496,657,603,681,459,606,659,604,95,480,493,546,436,536,700,602,639,502,572,481,538,685,556,532,504,613,500,571,14,469,533,555,530,491,645,485,617,457,629,535,464,531,534,618,559,492,543,547,524,470,508,92,2,91,98,88,97])).
% 31.50/31.55 cnf(2491,plain,
% 31.50/31.55 (P14(f39(f22(f32(a34,a52),f25(f23(a55),f25(f21(a53),f25(f32(a24,a51),a56)))),f2(f6(f9(a16,a50),f9(a16,a50),f48(a45,a1))),a45))),
% 31.50/31.55 inference(scs_inference,[],[284,308,324,302,206,123,124,186,371,2336,739,2291,2297,2313,2316,2319,2375,2385,2416,325,235,277,162,731,736,161,2379,233,179,2372,2392,2413,2459,118,149,281,2300,133,2468,160,168,361,156,280,114,350,2233,801,2228,2058,2159,1662,2201,1615,2152,2098,1423,2359,2154,2105,2162,2147,2420,1920,2404,2220,1169,1154,941,2128,2195,1397,776,1203,2322,2325,2333,1418,1446,1979,1510,1014,1843,1499,939,947,917,623,475,413,400,565,471,420,692,598,548,528,527,511,455,454,423,649,626,496,657,603,681,459,606,659,604,95,480,493,546,436,536,700,602,639,502,572,481,538,685,556,532,504,613,500,571,14,469,533,555,530,491,645,485,617,457,629,535,464,531,534,618,559,492,543,547,524,470,508,92,2,91,98,88,97,20,90,3,93,591,479,593,24,416,462,664])).
% 31.50/31.55 cnf(2516,plain,
% 31.50/31.55 (P8(f48(x25161,a47))),
% 31.50/31.55 inference(scs_inference,[],[112,381])).
% 31.50/31.55 cnf(2523,plain,
% 31.50/31.55 (P6(f15(x25231,x25232),f15(f14(x25233,x25231,x25232),x25232),f48(x25232,a1))),
% 31.50/31.55 inference(rename_variables,[],[223])).
% 31.50/31.55 cnf(2526,plain,
% 31.50/31.55 (~E(f5(x25261,f14(x25262,f4(x25263),x25264),x25263),x25261)),
% 31.50/31.55 inference(rename_variables,[],[742])).
% 31.50/31.55 cnf(2533,plain,
% 31.50/31.55 (P14(f39(f19(f21(x25331)),f26(x25332),a45))),
% 31.50/31.55 inference(rename_variables,[],[1203])).
% 31.50/31.55 cnf(2543,plain,
% 31.50/31.55 (P9(f48(x25431,a47))),
% 31.50/31.55 inference(scs_inference,[],[202,742,223,2523,205,235,112,349,1203,381,584,489,476,486,468,477,562,545,632,514,512,382])).
% 31.50/31.55 cnf(2571,plain,
% 31.50/31.55 (~P14(f39(f32(a18,f32(a18,f32(a18,f32(f36(x25711),x25712)))),a27,a47))),
% 31.50/31.55 inference(scs_inference,[],[310,202,742,223,2523,205,235,112,349,1052,1203,381,584,489,476,486,468,477,562,545,632,514,512,382,448,444,402,394,393,392,391,390,387,378,377,431,478,520])).
% 31.50/31.55 cnf(2575,plain,
% 31.50/31.55 (P6(f3(f6(f3(x25751),f3(x25752),f48(a45,a1))),f3(f6(x25751,x25752,f48(a45,a1))),f48(a45,a1))),
% 31.50/31.55 inference(scs_inference,[],[310,202,742,223,2523,205,235,259,112,349,1052,1203,381,584,489,476,486,468,477,562,545,632,514,512,382,448,444,402,394,393,392,391,390,387,378,377,431,478,520,669,467])).
% 31.50/31.55 cnf(2579,plain,
% 31.50/31.55 (P14(f39(f19(f22(x25791,f21(x25792))),f26(f35(f48(a45,a1))),a45))),
% 31.50/31.55 inference(scs_inference,[],[310,202,742,223,2523,205,235,259,112,349,1665,1052,1203,381,584,489,476,486,468,477,562,545,632,514,512,382,448,444,402,394,393,392,391,390,387,378,377,431,478,520,669,467,396,506])).
% 31.50/31.55 cnf(2581,plain,
% 31.50/31.55 (P14(f39(f32(a18,f32(a18,f32(a34,x25811))),a27,a47))),
% 31.50/31.55 inference(scs_inference,[],[310,202,742,223,2523,205,235,259,112,349,1665,1056,1052,1203,381,584,489,476,486,468,477,562,545,632,514,512,382,448,444,402,394,393,392,391,390,387,378,377,431,478,520,669,467,396,506,505])).
% 31.50/31.55 cnf(2587,plain,
% 31.50/31.55 (~P14(f39(f32(a24,f32(a34,a53)),f26(f26(f9(a16,f4(a29)))),a45))),
% 31.50/31.55 inference(scs_inference,[],[310,202,742,223,2523,205,235,259,112,349,1665,2354,1056,1052,1203,381,584,489,476,486,468,477,562,545,632,514,512,382,448,444,402,394,393,392,391,390,387,378,377,431,478,520,669,467,396,506,505,446,388,523])).
% 31.50/31.55 cnf(2589,plain,
% 31.50/31.55 (P14(f39(f32(a24,f32(a34,x25891)),f40(x25892,f9(x25891,x25893),a45),a45))),
% 31.50/31.55 inference(scs_inference,[],[310,202,742,223,2523,205,235,259,112,349,1665,2354,1056,1052,1203,381,584,489,476,486,468,477,562,545,632,514,512,382,448,444,402,394,393,392,391,390,387,378,377,431,478,520,669,467,396,506,505,446,388,523,574])).
% 31.50/31.55 cnf(2614,plain,
% 31.50/31.55 (~E(f5(x26141,f5(f4(x26142),f14(x26143,f4(x26144),x26145),x26144),x26142),x26141)),
% 31.50/31.55 inference(scs_inference,[],[110,310,202,125,127,742,2526,223,2523,205,235,259,112,349,2387,1665,2354,1056,1052,1203,1843,381,584,489,476,486,468,477,562,545,632,514,512,382,448,444,402,394,393,392,391,390,387,378,377,431,478,520,669,467,396,506,505,446,388,523,574,607,460,405,46,43,38,30,29,10,697,668,578,412,403,419])).
% 31.50/31.55 cnf(2615,plain,
% 31.50/31.55 (~E(f5(x26151,f14(x26152,f4(x26153),x26154),x26153),x26151)),
% 31.50/31.55 inference(rename_variables,[],[742])).
% 31.50/31.55 cnf(2617,plain,
% 31.50/31.55 (P14(f39(f22(f32(a34,a52),f25(f23(a55),f25(f21(a53),f25(f32(a24,a51),a56)))),f3(f6(x26171,f9(a16,a50),f48(a45,a1))),a45))),
% 31.50/31.55 inference(scs_inference,[],[110,310,202,125,127,742,2526,223,2523,205,235,259,112,349,2387,1665,2354,2394,1056,1052,1203,1843,381,584,489,476,486,468,477,562,545,632,514,512,382,448,444,402,394,393,392,391,390,387,378,377,431,478,520,669,467,396,506,505,446,388,523,574,607,460,405,46,43,38,30,29,10,697,668,578,412,403,419,627])).
% 31.50/31.55 cnf(2622,plain,
% 31.50/31.55 (~E(f5(x26221,f14(x26222,f4(x26223),x26224),x26223),x26221)),
% 31.50/31.55 inference(rename_variables,[],[742])).
% 31.50/31.55 cnf(2625,plain,
% 31.50/31.55 (~E(f5(x26251,f14(x26252,f4(x26253),x26254),x26253),x26251)),
% 31.50/31.55 inference(rename_variables,[],[742])).
% 31.50/31.55 cnf(2628,plain,
% 31.50/31.55 (~E(f5(x26281,f14(x26282,f4(x26283),x26284),x26283),x26281)),
% 31.50/31.55 inference(rename_variables,[],[742])).
% 31.50/31.55 cnf(2633,plain,
% 31.50/31.55 (P14(f39(x26331,f2(f40(x26331,x26332,a45)),a45))),
% 31.50/31.55 inference(rename_variables,[],[2446])).
% 31.50/31.55 cnf(2634,plain,
% 31.50/31.55 (P14(f39(f21(x26341),f26(x26342),a45))),
% 31.50/31.55 inference(rename_variables,[],[165])).
% 31.50/31.55 cnf(2636,plain,
% 31.50/31.55 (P6(x26361,f6(x26361,x26362,f48(x26363,a47)),f48(x26363,a47))),
% 31.50/31.55 inference(scs_inference,[],[110,310,202,125,127,742,2526,2615,2622,2625,223,2523,205,235,259,165,112,349,2387,1665,2354,2491,2394,2446,1056,1052,1203,1843,381,584,489,476,486,468,477,562,545,632,514,512,382,448,444,402,394,393,392,391,390,387,378,377,431,478,520,669,467,396,506,505,446,388,523,574,607,460,405,46,43,38,30,29,10,697,668,578,412,403,419,627,595,424,409,408,495,674,441])).
% 31.50/31.55 cnf(2640,plain,
% 31.50/31.55 (P12(f48(x26401,f48(x26402,a1)))),
% 31.50/31.55 inference(scs_inference,[],[110,310,202,125,127,742,2526,2615,2622,2625,223,2523,205,235,259,165,112,349,2387,1665,2354,2491,2394,2446,1056,1052,941,1203,1843,381,584,489,476,486,468,477,562,545,632,514,512,382,448,444,402,394,393,392,391,390,387,378,377,431,478,520,669,467,396,506,505,446,388,523,574,607,460,405,46,43,38,30,29,10,697,668,578,412,403,419,627,595,424,409,408,495,674,441,401,385])).
% 31.50/31.55 cnf(2642,plain,
% 31.50/31.55 (P2(f48(x26421,a47))),
% 31.50/31.55 inference(scs_inference,[],[110,310,202,125,127,742,2526,2615,2622,2625,116,223,2523,205,235,259,165,112,349,2387,1665,2354,2491,2394,2446,1056,1052,941,1203,1843,381,584,489,476,486,468,477,562,545,632,514,512,382,448,444,402,394,393,392,391,390,387,378,377,431,478,520,669,467,396,506,505,446,388,523,574,607,460,405,46,43,38,30,29,10,697,668,578,412,403,419,627,595,424,409,408,495,674,441,401,385,383])).
% 31.50/31.55 cnf(2644,plain,
% 31.50/31.55 (P7(f48(x26441,a47))),
% 31.50/31.55 inference(scs_inference,[],[110,310,202,125,127,742,2526,2615,2622,2625,116,223,2523,205,235,259,165,112,349,2387,1665,2354,2491,2394,2446,1056,1052,941,1203,1843,381,584,489,476,486,468,477,562,545,632,514,512,382,448,444,402,394,393,392,391,390,387,378,377,431,478,520,669,467,396,506,505,446,388,523,574,607,460,405,46,43,38,30,29,10,697,668,578,412,403,419,627,595,424,409,408,495,674,441,401,385,383,380])).
% 31.50/31.55 cnf(2646,plain,
% 31.50/31.55 (P1(f48(x26461,f48(x26462,a1)))),
% 31.50/31.55 inference(scs_inference,[],[110,310,202,125,127,742,2526,2615,2622,2625,116,223,2523,205,235,259,165,112,349,2387,1665,2354,2491,2394,2446,953,1056,1052,941,1203,1843,381,584,489,476,486,468,477,562,545,632,514,512,382,448,444,402,394,393,392,391,390,387,378,377,431,478,520,669,467,396,506,505,446,388,523,574,607,460,405,46,43,38,30,29,10,697,668,578,412,403,419,627,595,424,409,408,495,674,441,401,385,383,380,379])).
% 31.50/31.55 cnf(2666,plain,
% 31.50/31.55 (E(f48(f3(f2(x26661)),x26662),f48(f2(x26661),x26662))),
% 31.50/31.55 inference(scs_inference,[],[110,310,202,125,127,742,2526,2615,2622,2625,116,223,2523,205,235,259,165,112,349,2387,1665,2354,2491,2394,2446,953,1056,1052,941,1203,1843,381,584,489,476,486,468,477,562,545,632,514,512,382,448,444,402,394,393,392,391,390,387,378,377,431,478,520,669,467,396,506,505,446,388,523,574,607,460,405,46,43,38,30,29,10,697,668,578,412,403,419,627,595,424,409,408,495,674,441,401,385,383,380,379,83,82,81,80,79,78,74,72,70,68,65,64,63,60,59,36,33,27,26])).
% 31.50/31.55 cnf(2673,plain,
% 31.50/31.55 (~P14(f39(f32(a24,f32(a34,a52)),f3(f3(f9(a16,f4(a29)))),a45))),
% 31.50/31.55 inference(scs_inference,[],[110,310,202,125,127,742,2526,2615,2622,2625,116,223,2523,205,235,259,165,112,349,2387,1665,2354,2491,2440,2394,2446,953,1056,1052,941,1203,1843,381,584,489,476,486,468,477,562,545,632,514,512,382,448,444,402,394,393,392,391,390,387,378,377,431,478,520,669,467,396,506,505,446,388,523,574,607,460,405,46,43,38,30,29,10,697,668,578,412,403,419,627,595,424,409,408,495,674,441,401,385,383,380,379,83,82,81,80,79,78,74,72,70,68,65,64,63,60,59,36,33,27,26,22,8,490,428,522])).
% 31.50/31.55 cnf(2678,plain,
% 31.50/31.55 (P14(f39(f32(a24,x26781),f3(f6(f41(a24,f15(f5(x26782,f14(x26781,x26783,a47),a47),a47),a47,a45),x26784,f48(a45,a1))),a45))),
% 31.50/31.55 inference(rename_variables,[],[2299])).
% 31.50/31.55 cnf(2680,plain,
% 31.50/31.55 (P13(f48(x26801,a47))),
% 31.50/31.55 inference(scs_inference,[],[110,310,202,125,127,742,2526,2615,2622,2625,116,223,2523,205,235,259,121,165,112,349,2387,1665,2354,2491,2440,2394,2446,2299,953,1056,1052,941,1203,1843,381,584,489,476,486,468,477,562,545,632,514,512,382,448,444,402,394,393,392,391,390,387,378,377,431,478,520,669,467,396,506,505,446,388,523,574,607,460,405,46,43,38,30,29,10,697,668,578,412,403,419,627,595,424,409,408,495,674,441,401,385,383,380,379,83,82,81,80,79,78,74,72,70,68,65,64,63,60,59,36,33,27,26,22,8,490,428,522,643,624,386])).
% 31.50/31.55 cnf(2682,plain,
% 31.50/31.55 (P10(f48(x26821,a47))),
% 31.50/31.55 inference(scs_inference,[],[110,310,202,125,127,742,2526,2615,2622,2625,116,223,2523,205,235,259,121,118,165,112,349,2387,1665,2354,2491,2440,2394,2446,2299,953,1056,1052,941,1203,1843,381,584,489,476,486,468,477,562,545,632,514,512,382,448,444,402,394,393,392,391,390,387,378,377,431,478,520,669,467,396,506,505,446,388,523,574,607,460,405,46,43,38,30,29,10,697,668,578,412,403,419,627,595,424,409,408,495,674,441,401,385,383,380,379,83,82,81,80,79,78,74,72,70,68,65,64,63,60,59,36,33,27,26,22,8,490,428,522,643,624,386,384])).
% 31.50/31.55 cnf(2685,plain,
% 31.50/31.55 (P6(f15(x26851,x26852),f15(f14(x26853,x26851,x26852),x26852),f48(x26852,a1))),
% 31.50/31.55 inference(rename_variables,[],[223])).
% 31.50/31.55 cnf(2691,plain,
% 31.50/31.55 (P14(f32(f40(x26911,f35(f48(x26912,a1)),x26913),x26914))),
% 31.50/31.55 inference(scs_inference,[],[110,310,202,125,127,742,2526,2615,2622,2625,116,223,2523,205,235,259,121,118,165,364,112,168,349,2387,1665,2354,2491,2440,2394,2446,2299,953,1056,1052,941,1203,1843,381,584,489,476,486,468,477,562,545,632,514,512,382,448,444,402,394,393,392,391,390,387,378,377,431,478,520,669,467,396,506,505,446,388,523,574,607,460,405,46,43,38,30,29,10,697,668,578,412,403,419,627,595,424,409,408,495,674,441,401,385,383,380,379,83,82,81,80,79,78,74,72,70,68,65,64,63,60,59,36,33,27,26,22,8,490,428,522,643,624,386,384,463,472,521,494])).
% 31.50/31.55 cnf(2697,plain,
% 31.50/31.55 (~E(f40(f23(x26971),f33(f48(x26972,a1)),x26972),f40(f25(x26973,x26974),f33(f48(x26972,a1)),x26972))),
% 31.50/31.55 inference(scs_inference,[],[110,310,202,125,127,742,2526,2615,2622,2625,116,223,2523,205,235,259,121,118,165,364,112,168,349,2387,1665,2354,2491,2440,2394,2446,2299,953,1056,1052,941,1203,1843,381,584,489,476,486,468,477,562,545,632,514,512,382,448,444,402,394,393,392,391,390,387,378,377,431,478,520,669,467,396,506,505,446,388,523,574,607,460,405,46,43,38,30,29,10,697,668,578,412,403,419,627,595,424,409,408,495,674,441,401,385,383,380,379,83,82,81,80,79,78,74,72,70,68,65,64,63,60,59,36,33,27,26,22,8,490,428,522,643,624,386,384,463,472,521,494,42,19,579,516])).
% 31.50/31.55 cnf(2716,plain,
% 31.50/31.55 (P14(f39(x27161,f15(f5(x27162,f14(x27161,x27163,x27164),x27164),x27164),x27164))),
% 31.50/31.55 inference(rename_variables,[],[281])).
% 31.50/31.55 cnf(2739,plain,
% 31.50/31.55 (E(f32(x27391,f3(f2(x27392))),f32(x27391,f2(x27392)))),
% 31.50/31.55 inference(scs_inference,[],[110,310,202,125,127,742,2526,2615,2622,2625,116,223,2523,2685,374,205,235,259,121,161,118,281,165,364,112,168,349,2387,1665,2354,2491,2440,2394,2446,2299,953,1056,1052,941,1203,1843,381,584,489,476,486,468,477,562,545,632,514,512,382,448,444,402,394,393,392,391,390,387,378,377,431,478,520,669,467,396,506,505,446,388,523,574,607,460,405,46,43,38,30,29,10,697,668,578,412,403,419,627,595,424,409,408,495,674,441,401,385,383,380,379,83,82,81,80,79,78,74,72,70,68,65,64,63,60,59,36,33,27,26,22,8,490,428,522,643,624,386,384,463,472,521,494,42,19,579,516,447,445,443,397,395,389,376,699,686,58,57,16,13,670,450,590,466,673,458,15,449,48,21])).
% 31.50/31.55 cnf(2778,plain,
% 31.50/31.55 (~E(f5(x27781,f14(x27782,f4(x27783),x27784),x27783),x27781)),
% 31.50/31.55 inference(rename_variables,[],[742])).
% 31.50/31.55 cnf(2792,plain,
% 31.50/31.55 (~P14(f39(f32(a34,x27921),f41(a18,f41(f36(x27922),x27923,a46,a47),a47,a47),a47))),
% 31.50/31.55 inference(rename_variables,[],[374])).
% 31.50/31.55 cnf(2794,plain,
% 31.50/31.55 (P14(f39(f14(f12(a16,x27941,f21(x27942)),f14(f12(a16,x27943,f19(f21(x27944))),f4(a29),a29),a29),a31,f44(a29)))),
% 31.50/31.55 inference(scs_inference,[],[110,310,202,125,127,742,2526,2615,2622,2625,2628,116,223,2523,2685,334,374,205,235,259,121,161,118,281,165,2634,364,112,168,349,2387,1665,2354,2491,2440,2394,2446,2299,2344,953,1056,1052,941,1203,1843,381,584,489,476,486,468,477,562,545,632,514,512,382,448,444,402,394,393,392,391,390,387,378,377,431,478,520,669,467,396,506,505,446,388,523,574,607,460,405,46,43,38,30,29,10,697,668,578,412,403,419,627,595,424,409,408,495,674,441,401,385,383,380,379,83,82,81,80,79,78,74,72,70,68,65,64,63,60,59,36,33,27,26,22,8,490,428,522,643,624,386,384,463,472,521,494,42,19,579,516,447,445,443,397,395,389,376,699,686,58,57,16,13,670,450,590,466,673,458,15,449,48,21,653,435,56,39,28,25,18,4,85,84,77,76,75,73,71,69,67,66,62,61,55,52,51,50,49,45,44,37,35,34,23,9,7,6,5,479,47,41,40,17,12,11,459,31,53,54,593,659])).
% 31.50/31.55 cnf(2795,plain,
% 31.50/31.55 (P14(f39(f21(x27951),f26(x27952),a45))),
% 31.50/31.55 inference(rename_variables,[],[165])).
% 31.50/31.55 cnf(2801,plain,
% 31.50/31.55 (~P3(f23(x28011),f25(x28012,x28013),x28014)),
% 31.50/31.55 inference(scs_inference,[],[110,310,202,125,127,742,2526,2615,2622,2625,2628,116,223,2523,2685,334,374,205,235,259,121,161,118,281,165,2634,364,112,168,349,2387,1665,2354,2491,2440,2394,2446,2299,2678,2344,953,1056,1052,941,1203,1843,381,584,489,476,486,468,477,562,545,632,514,512,382,448,444,402,394,393,392,391,390,387,378,377,431,478,520,669,467,396,506,505,446,388,523,574,607,460,405,46,43,38,30,29,10,697,668,578,412,403,419,627,595,424,409,408,495,674,441,401,385,383,380,379,83,82,81,80,79,78,74,72,70,68,65,64,63,60,59,36,33,27,26,22,8,490,428,522,643,624,386,384,463,472,521,494,42,19,579,516,447,445,443,397,395,389,376,699,686,58,57,16,13,670,450,590,466,673,458,15,449,48,21,653,435,56,39,28,25,18,4,85,84,77,76,75,73,71,69,67,66,62,61,55,52,51,50,49,45,44,37,35,34,23,9,7,6,5,479,47,41,40,17,12,11,459,31,53,54,593,659,24,615,416])).
% 31.50/31.55 cnf(2806,plain,
% 31.50/31.55 (P6(f15(x28061,x28062),f15(f14(x28063,x28061,x28062),x28062),f48(x28062,a1))),
% 31.50/31.55 inference(rename_variables,[],[223])).
% 31.50/31.55 cnf(2807,plain,
% 31.50/31.55 (P6(x28071,f2(x28071),f48(a45,a1))),
% 31.50/31.55 inference(rename_variables,[],[147])).
% 31.50/31.55 cnf(2811,plain,
% 31.50/31.55 (P14(f39(f21(x28111),f26(x28112),a45))),
% 31.50/31.55 inference(rename_variables,[],[165])).
% 31.50/31.55 cnf(2816,plain,
% 31.50/31.55 (P14(f39(x28161,f15(f5(x28162,f14(x28161,x28163,x28164),x28164),x28164),x28164))),
% 31.50/31.55 inference(rename_variables,[],[281])).
% 31.50/31.55 cnf(2817,plain,
% 31.50/31.55 (~E(f5(x28171,f14(x28172,f4(x28173),x28174),x28173),x28171)),
% 31.50/31.55 inference(rename_variables,[],[742])).
% 31.50/31.55 cnf(2822,plain,
% 31.50/31.55 (P6(f15(x28221,x28222),f15(f14(x28223,x28221,x28222),x28222),f48(x28222,a1))),
% 31.50/31.55 inference(rename_variables,[],[223])).
% 31.50/31.55 cnf(2825,plain,
% 31.50/31.55 (P14(f39(x28251,f7(f5(x28252,f14(f11(x28253,f25(x28251,x28254)),x28255,a29),a29)),a45))),
% 31.50/31.55 inference(rename_variables,[],[1521])).
% 31.50/31.55 cnf(2827,plain,
% 31.50/31.55 (~P14(f39(f23(x28271),f2(f2(f9(x28272,f4(a29)))),a45))),
% 31.50/31.55 inference(scs_inference,[],[350,110,310,202,125,127,742,2526,2615,2622,2625,2628,2778,116,223,2523,2685,2806,334,374,205,235,259,121,147,161,118,281,2716,165,2634,2795,364,112,168,349,2387,1665,2354,2491,2440,2394,2446,2633,1521,2299,2678,2344,953,1056,1052,941,1637,1203,943,1843,381,584,489,476,486,468,477,562,545,632,514,512,382,448,444,402,394,393,392,391,390,387,378,377,431,478,520,669,467,396,506,505,446,388,523,574,607,460,405,46,43,38,30,29,10,697,668,578,412,403,419,627,595,424,409,408,495,674,441,401,385,383,380,379,83,82,81,80,79,78,74,72,70,68,65,64,63,60,59,36,33,27,26,22,8,490,428,522,643,624,386,384,463,472,521,494,42,19,579,516,447,445,443,397,395,389,376,699,686,58,57,16,13,670,450,590,466,673,458,15,449,48,21,653,435,56,39,28,25,18,4,85,84,77,76,75,73,71,69,67,66,62,61,55,52,51,50,49,45,44,37,35,34,23,9,7,6,5,479,47,41,40,17,12,11,459,31,53,54,593,659,24,615,416,671,480,639,493,572,436,462,536,664])).
% 31.50/31.55 cnf(2828,plain,
% 31.50/31.55 (P14(f39(x28281,f2(f40(x28281,x28282,a45)),a45))),
% 31.50/31.55 inference(rename_variables,[],[2446])).
% 31.50/31.55 cnf(2831,plain,
% 31.50/31.55 (P14(f39(x28311,f3(f9(a16,f5(x28312,f14(f12(x28313,x28314,f25(f32(a24,f32(a34,x28315)),f22(f32(a34,a16),f22(f32(a34,x28315),x28311)))),x28316,a29),a29))),a45))),
% 31.50/31.55 inference(rename_variables,[],[1858])).
% 31.50/31.55 cnf(2833,plain,
% 31.50/31.55 (~P14(f39(f25(f23(x28331),x28332),f3(f2(f9(a16,f4(a29)))),a45))),
% 31.50/31.55 inference(scs_inference,[],[350,110,310,202,125,127,742,2526,2615,2622,2625,2628,2778,116,223,2523,2685,2806,334,374,205,235,259,121,147,161,118,281,2716,165,2634,2795,364,112,168,349,2387,1665,2354,2491,2440,2389,2394,2446,2633,1521,1858,2299,2678,2344,953,1056,1052,941,1637,1203,943,1843,381,584,489,476,486,468,477,562,545,632,514,512,382,448,444,402,394,393,392,391,390,387,378,377,431,478,520,669,467,396,506,505,446,388,523,574,607,460,405,46,43,38,30,29,10,697,668,578,412,403,419,627,595,424,409,408,495,674,441,401,385,383,380,379,83,82,81,80,79,78,74,72,70,68,65,64,63,60,59,36,33,27,26,22,8,490,428,522,643,624,386,384,463,472,521,494,42,19,579,516,447,445,443,397,395,389,376,699,686,58,57,16,13,670,450,590,466,673,458,15,449,48,21,653,435,56,39,28,25,18,4,85,84,77,76,75,73,71,69,67,66,62,61,55,52,51,50,49,45,44,37,35,34,23,9,7,6,5,479,47,41,40,17,12,11,459,31,53,54,593,659,24,615,416,671,480,639,493,572,436,462,536,664,533,500])).
% 31.50/31.55 cnf(2838,plain,
% 31.50/31.55 (P14(f39(x28381,f2(f40(f25(x28381,x28382),x28383,a45)),a45))),
% 31.50/31.55 inference(scs_inference,[],[350,110,310,202,125,127,742,2526,2615,2622,2625,2628,2778,116,223,2523,2685,2806,334,374,205,235,259,121,147,161,118,281,2716,165,2634,2795,364,112,168,280,349,2387,1665,2354,2491,2440,2389,2394,2446,2633,2828,1521,1858,2299,2678,2344,953,1056,1052,941,1637,1203,943,1843,381,584,489,476,486,468,477,562,545,632,514,512,382,448,444,402,394,393,392,391,390,387,378,377,431,478,520,669,467,396,506,505,446,388,523,574,607,460,405,46,43,38,30,29,10,697,668,578,412,403,419,627,595,424,409,408,495,674,441,401,385,383,380,379,83,82,81,80,79,78,74,72,70,68,65,64,63,60,59,36,33,27,26,22,8,490,428,522,643,624,386,384,463,472,521,494,42,19,579,516,447,445,443,397,395,389,376,699,686,58,57,16,13,670,450,590,466,673,458,15,449,48,21,653,435,56,39,28,25,18,4,85,84,77,76,75,73,71,69,67,66,62,61,55,52,51,50,49,45,44,37,35,34,23,9,7,6,5,479,47,41,40,17,12,11,459,31,53,54,593,659,24,615,416,671,480,639,493,572,436,462,536,664,533,500,700,532])).
% 31.50/31.55 cnf(2839,plain,
% 31.50/31.55 (P14(f39(x28391,f2(f40(x28391,x28392,a45)),a45))),
% 31.50/31.55 inference(rename_variables,[],[2446])).
% 31.50/31.55 cnf(2841,plain,
% 31.50/31.55 (P6(x28411,f2(f6(x28412,x28411,f48(a45,a1))),f48(a45,a1))),
% 31.50/31.55 inference(scs_inference,[],[350,110,310,202,125,127,742,2526,2615,2622,2625,2628,2778,116,223,2523,2685,2806,334,374,205,235,259,121,147,2807,161,118,281,2716,165,2634,2795,364,112,168,280,349,2387,1665,2354,2491,2440,2389,2394,2446,2633,2828,1521,1858,2299,2678,2344,953,1056,1052,941,1637,1203,943,1843,381,584,489,476,486,468,477,562,545,632,514,512,382,448,444,402,394,393,392,391,390,387,378,377,431,478,520,669,467,396,506,505,446,388,523,574,607,460,405,46,43,38,30,29,10,697,668,578,412,403,419,627,595,424,409,408,495,674,441,401,385,383,380,379,83,82,81,80,79,78,74,72,70,68,65,64,63,60,59,36,33,27,26,22,8,490,428,522,643,624,386,384,463,472,521,494,42,19,579,516,447,445,443,397,395,389,376,699,686,58,57,16,13,670,450,590,466,673,458,15,449,48,21,653,435,56,39,28,25,18,4,85,84,77,76,75,73,71,69,67,66,62,61,55,52,51,50,49,45,44,37,35,34,23,9,7,6,5,479,47,41,40,17,12,11,459,31,53,54,593,659,24,615,416,671,480,639,493,572,436,462,536,664,533,500,700,532,555])).
% 31.50/31.55 cnf(2843,plain,
% 31.50/31.55 (~P14(f39(f25(x28431,f23(f42(x28432))),f9(a16,x28432),a45))),
% 31.50/31.55 inference(scs_inference,[],[350,110,310,202,125,127,742,2526,2615,2622,2625,2628,2778,116,223,2523,2685,2806,334,374,205,235,259,121,147,2807,161,118,281,2716,165,2634,2795,364,112,168,280,349,2387,1665,2354,2491,2440,2389,2394,2446,2633,2828,1521,2442,1858,2299,2678,2344,953,1056,1052,941,1637,1203,943,1843,381,584,489,476,486,468,477,562,545,632,514,512,382,448,444,402,394,393,392,391,390,387,378,377,431,478,520,669,467,396,506,505,446,388,523,574,607,460,405,46,43,38,30,29,10,697,668,578,412,403,419,627,595,424,409,408,495,674,441,401,385,383,380,379,83,82,81,80,79,78,74,72,70,68,65,64,63,60,59,36,33,27,26,22,8,490,428,522,643,624,386,384,463,472,521,494,42,19,579,516,447,445,443,397,395,389,376,699,686,58,57,16,13,670,450,590,466,673,458,15,449,48,21,653,435,56,39,28,25,18,4,85,84,77,76,75,73,71,69,67,66,62,61,55,52,51,50,49,45,44,37,35,34,23,9,7,6,5,479,47,41,40,17,12,11,459,31,53,54,593,659,24,615,416,671,480,639,493,572,436,462,536,664,533,500,700,532,555,491])).
% 31.50/31.55 cnf(2845,plain,
% 31.50/31.55 (P14(f39(f25(f23(a55),f25(f21(a53),f25(f32(a24,a51),a56))),f2(f6(f9(a16,a50),f9(a16,a50),f48(a45,a1))),a45))),
% 31.50/31.55 inference(scs_inference,[],[350,110,310,202,125,127,742,2526,2615,2622,2625,2628,2778,116,223,2523,2685,2806,334,374,205,235,259,121,147,2807,161,118,281,2716,165,2634,2795,364,112,168,280,349,2387,1665,2354,2491,2440,2389,2394,2446,2633,2828,1521,2442,1858,2299,2678,2344,953,1056,1052,941,1637,1203,943,1843,381,584,489,476,486,468,477,562,545,632,514,512,382,448,444,402,394,393,392,391,390,387,378,377,431,478,520,669,467,396,506,505,446,388,523,574,607,460,405,46,43,38,30,29,10,697,668,578,412,403,419,627,595,424,409,408,495,674,441,401,385,383,380,379,83,82,81,80,79,78,74,72,70,68,65,64,63,60,59,36,33,27,26,22,8,490,428,522,643,624,386,384,463,472,521,494,42,19,579,516,447,445,443,397,395,389,376,699,686,58,57,16,13,670,450,590,466,673,458,15,449,48,21,653,435,56,39,28,25,18,4,85,84,77,76,75,73,71,69,67,66,62,61,55,52,51,50,49,45,44,37,35,34,23,9,7,6,5,479,47,41,40,17,12,11,459,31,53,54,593,659,24,615,416,671,480,639,493,572,436,462,536,664,533,500,700,532,555,491,530])).
% 31.50/31.55 cnf(2851,plain,
% 31.50/31.55 (~P14(f39(f32(a34,x28511),f41(a18,f41(f36(x28512),x28513,a46,a47),a47,a47),a47))),
% 31.50/31.55 inference(rename_variables,[],[374])).
% 31.50/31.55 cnf(2857,plain,
% 31.50/31.55 (P6(x28571,f6(x28572,f6(f6(f6(x28573,f6(f6(x28574,f6(x28575,x28571,a47),a47),x28576,a47),a47),x28577,a47),x28578,a47),a47),a47)),
% 31.50/31.55 inference(scs_inference,[],[350,110,310,202,125,127,742,2526,2615,2622,2625,2628,2778,116,223,2523,2685,2806,334,374,2792,2851,205,235,259,277,121,147,2807,150,161,118,281,2716,165,2634,2795,364,112,168,280,114,349,2387,2329,1665,2354,2491,2440,2389,2394,2446,2633,2828,1521,2442,1858,2299,2678,2344,2350,953,1056,1052,941,1637,1203,943,1843,381,584,489,476,486,468,477,562,545,632,514,512,382,448,444,402,394,393,392,391,390,387,378,377,431,478,520,669,467,396,506,505,446,388,523,574,607,460,405,46,43,38,30,29,10,697,668,578,412,403,419,627,595,424,409,408,495,674,441,401,385,383,380,379,83,82,81,80,79,78,74,72,70,68,65,64,63,60,59,36,33,27,26,22,8,490,428,522,643,624,386,384,463,472,521,494,42,19,579,516,447,445,443,397,395,389,376,699,686,58,57,16,13,670,450,590,466,673,458,15,449,48,21,653,435,56,39,28,25,18,4,85,84,77,76,75,73,71,69,67,66,62,61,55,52,51,50,49,45,44,37,35,34,23,9,7,6,5,479,47,41,40,17,12,11,459,31,53,54,593,659,24,615,416,671,480,639,493,572,436,462,536,664,533,500,700,532,555,491,530,552,645,538,485,502])).
% 31.50/31.55 cnf(2865,plain,
% 31.50/31.55 (P14(f39(x28651,f2(f40(f25(x28652,x28651),x28653,a45)),a45))),
% 31.50/31.55 inference(scs_inference,[],[350,110,310,202,125,127,742,2526,2615,2622,2625,2628,2778,116,223,2523,2685,2806,334,374,2792,2851,205,235,259,277,121,147,2807,150,161,118,281,2716,197,165,2634,2795,364,112,168,280,114,349,2387,2329,1665,2354,2491,2440,2389,2394,2446,2633,2828,2839,1521,2825,2442,1858,2299,2678,2344,2350,953,1056,1052,941,1637,1203,943,1843,381,584,489,476,486,468,477,562,545,632,514,512,382,448,444,402,394,393,392,391,390,387,378,377,431,478,520,669,467,396,506,505,446,388,523,574,607,460,405,46,43,38,30,29,10,697,668,578,412,403,419,627,595,424,409,408,495,674,441,401,385,383,380,379,83,82,81,80,79,78,74,72,70,68,65,64,63,60,59,36,33,27,26,22,8,490,428,522,643,624,386,384,463,472,521,494,42,19,579,516,447,445,443,397,395,389,376,699,686,58,57,16,13,670,450,590,466,673,458,15,449,48,21,653,435,56,39,28,25,18,4,85,84,77,76,75,73,71,69,67,66,62,61,55,52,51,50,49,45,44,37,35,34,23,9,7,6,5,479,47,41,40,17,12,11,459,31,53,54,593,659,24,615,416,671,480,639,493,572,436,462,536,664,533,500,700,532,555,491,530,552,645,538,485,502,535,457,531])).
% 31.50/31.55 cnf(2868,plain,
% 31.50/31.55 (P6(x28681,f6(x28682,f6(f6(f6(x28683,f6(f6(x28684,f6(x28681,x28685,a47),a47),x28686,a47),a47),x28687,a47),x28688,a47),a47),a47)),
% 31.50/31.55 inference(scs_inference,[],[350,110,310,202,125,127,742,2526,2615,2622,2625,2628,2778,116,223,2523,2685,2806,334,374,2792,2851,205,235,259,277,121,147,2807,150,161,118,281,2716,197,165,2634,2795,364,112,168,280,114,349,2387,2329,1665,2354,2491,2440,2389,2394,2446,2633,2828,2839,1521,2825,2442,1858,2299,2678,2344,2350,953,1056,1052,941,1637,1203,943,1843,381,584,489,476,486,468,477,562,545,632,514,512,382,448,444,402,394,393,392,391,390,387,378,377,431,478,520,669,467,396,506,505,446,388,523,574,607,460,405,46,43,38,30,29,10,697,668,578,412,403,419,627,595,424,409,408,495,674,441,401,385,383,380,379,83,82,81,80,79,78,74,72,70,68,65,64,63,60,59,36,33,27,26,22,8,490,428,522,643,624,386,384,463,472,521,494,42,19,579,516,447,445,443,397,395,389,376,699,686,58,57,16,13,670,450,590,466,673,458,15,449,48,21,653,435,56,39,28,25,18,4,85,84,77,76,75,73,71,69,67,66,62,61,55,52,51,50,49,45,44,37,35,34,23,9,7,6,5,479,47,41,40,17,12,11,459,31,53,54,593,659,24,615,416,671,480,639,493,572,436,462,536,664,533,500,700,532,555,491,530,552,645,538,485,502,535,457,531,504])).
% 31.50/31.55 cnf(2870,plain,
% 31.50/31.55 (P6(x28701,f2(f2(f2(f2(x28701)))),f48(a45,a1))),
% 31.50/31.55 inference(scs_inference,[],[350,110,310,202,125,127,742,2526,2615,2622,2625,2628,2778,116,223,2523,2685,2806,334,374,2792,2851,205,235,259,277,121,147,2807,150,161,118,281,2716,197,165,2634,2795,364,112,168,280,114,349,2137,2387,2329,1665,2354,2491,2440,2389,2394,2446,2633,2828,2839,1521,2825,2442,1858,2299,2678,2344,2350,953,1056,1052,941,1637,1203,943,1843,381,584,489,476,486,468,477,562,545,632,514,512,382,448,444,402,394,393,392,391,390,387,378,377,431,478,520,669,467,396,506,505,446,388,523,574,607,460,405,46,43,38,30,29,10,697,668,578,412,403,419,627,595,424,409,408,495,674,441,401,385,383,380,379,83,82,81,80,79,78,74,72,70,68,65,64,63,60,59,36,33,27,26,22,8,490,428,522,643,624,386,384,463,472,521,494,42,19,579,516,447,445,443,397,395,389,376,699,686,58,57,16,13,670,450,590,466,673,458,15,449,48,21,653,435,56,39,28,25,18,4,85,84,77,76,75,73,71,69,67,66,62,61,55,52,51,50,49,45,44,37,35,34,23,9,7,6,5,479,47,41,40,17,12,11,459,31,53,54,593,659,24,615,416,671,480,639,493,572,436,462,536,664,533,500,700,532,555,491,530,552,645,538,485,502,535,457,531,504,469])).
% 31.50/31.55 cnf(2876,plain,
% 31.50/31.55 (P6(f6(x28761,x28762,f48(a45,a1)),f6(f2(x28761),f2(x28762),f48(a45,a1)),f48(a45,a1))),
% 31.50/31.55 inference(scs_inference,[],[350,110,310,202,125,127,742,2526,2615,2622,2625,2628,2778,116,223,2523,2685,2806,334,374,2792,2851,205,235,259,277,121,257,147,2807,150,161,118,281,2716,197,165,2634,2795,364,112,168,280,114,349,2137,2387,2329,1665,2354,2491,2440,2389,2394,2446,2633,2828,2839,1521,2825,2442,1858,2299,2678,2344,2350,953,1056,1052,941,1637,1203,943,1843,939,381,584,489,476,486,468,477,562,545,632,514,512,382,448,444,402,394,393,392,391,390,387,378,377,431,478,520,669,467,396,506,505,446,388,523,574,607,460,405,46,43,38,30,29,10,697,668,578,412,403,419,627,595,424,409,408,495,674,441,401,385,383,380,379,83,82,81,80,79,78,74,72,70,68,65,64,63,60,59,36,33,27,26,22,8,490,428,522,643,624,386,384,463,472,521,494,42,19,579,516,447,445,443,397,395,389,376,699,686,58,57,16,13,670,450,590,466,673,458,15,449,48,21,653,435,56,39,28,25,18,4,85,84,77,76,75,73,71,69,67,66,62,61,55,52,51,50,49,45,44,37,35,34,23,9,7,6,5,479,47,41,40,17,12,11,459,31,53,54,593,659,24,615,416,671,480,639,493,572,436,462,536,664,533,500,700,532,555,491,530,552,645,538,485,502,535,457,531,504,469,613,556,481])).
% 31.50/31.55 cnf(2879,plain,
% 31.50/31.55 (~P14(f39(f32(a24,f32(a34,a52)),f9(a16,f4(a29)),a45))),
% 31.50/31.55 inference(scs_inference,[],[350,110,310,202,125,127,742,2526,2615,2622,2625,2628,2778,116,223,2523,2685,2806,334,374,2792,2851,205,235,259,277,121,257,147,2807,150,161,118,281,2716,197,165,2634,2795,364,112,168,280,114,349,2137,2387,2329,1665,2354,2491,2440,2389,2394,2446,2633,2828,2839,1521,2825,2442,1858,2299,2678,2344,2350,953,1056,1052,941,1637,1203,943,1843,939,381,584,489,476,486,468,477,562,545,632,514,512,382,448,444,402,394,393,392,391,390,387,378,377,431,478,520,669,467,396,506,505,446,388,523,574,607,460,405,46,43,38,30,29,10,697,668,578,412,403,419,627,595,424,409,408,495,674,441,401,385,383,380,379,83,82,81,80,79,78,74,72,70,68,65,64,63,60,59,36,33,27,26,22,8,490,428,522,643,624,386,384,463,472,521,494,42,19,579,516,447,445,443,397,395,389,376,699,686,58,57,16,13,670,450,590,466,673,458,15,449,48,21,653,435,56,39,28,25,18,4,85,84,77,76,75,73,71,69,67,66,62,61,55,52,51,50,49,45,44,37,35,34,23,9,7,6,5,479,47,41,40,17,12,11,459,31,53,54,593,659,24,615,416,671,480,639,493,572,436,462,536,664,533,500,700,532,555,491,530,552,645,538,485,502,535,457,531,504,469,613,556,481,14,492])).
% 31.50/31.55 cnf(2881,plain,
% 31.50/31.55 (~P14(f39(f32(a24,f32(a34,a52)),f3(f9(a16,f14(f12(a16,x28811,f19(f21(x28812))),f4(a29),a29))),a45))),
% 31.50/31.55 inference(scs_inference,[],[350,110,310,202,125,127,742,2526,2615,2622,2625,2628,2778,116,223,2523,2685,2806,334,374,2792,2851,205,235,259,277,121,257,147,2807,150,161,118,281,2716,197,165,2634,2795,364,112,168,280,114,349,2137,2387,2329,1665,2354,2491,2440,2389,2394,2446,2633,2828,2839,1521,2825,2442,1858,2299,2678,2344,2350,953,1056,1052,941,1637,1203,943,1843,939,381,584,489,476,486,468,477,562,545,632,514,512,382,448,444,402,394,393,392,391,390,387,378,377,431,478,520,669,467,396,506,505,446,388,523,574,607,460,405,46,43,38,30,29,10,697,668,578,412,403,419,627,595,424,409,408,495,674,441,401,385,383,380,379,83,82,81,80,79,78,74,72,70,68,65,64,63,60,59,36,33,27,26,22,8,490,428,522,643,624,386,384,463,472,521,494,42,19,579,516,447,445,443,397,395,389,376,699,686,58,57,16,13,670,450,590,466,673,458,15,449,48,21,653,435,56,39,28,25,18,4,85,84,77,76,75,73,71,69,67,66,62,61,55,52,51,50,49,45,44,37,35,34,23,9,7,6,5,479,47,41,40,17,12,11,459,31,53,54,593,659,24,615,416,671,480,639,493,572,436,462,536,664,533,500,700,532,555,491,530,552,645,538,485,502,535,457,531,504,469,613,556,481,14,492,618])).
% 31.50/31.55 cnf(2885,plain,
% 31.50/31.55 (~P6(f9(x28851,x28852),f2(f33(f48(a45,a1))),f48(a45,a1))),
% 31.50/31.55 inference(scs_inference,[],[350,110,310,202,125,127,742,2526,2615,2622,2625,2628,2778,116,223,2523,2685,2806,334,374,2792,2851,205,235,259,277,121,257,147,2807,150,161,118,281,2716,197,165,2634,2795,364,112,168,280,114,349,2137,2387,2329,1665,2354,2491,2440,2389,2394,2446,2633,2828,2839,1521,2825,2442,2434,1858,2299,2678,2344,2350,953,1056,1052,941,1637,1203,943,1843,939,381,584,489,476,486,468,477,562,545,632,514,512,382,448,444,402,394,393,392,391,390,387,378,377,431,478,520,669,467,396,506,505,446,388,523,574,607,460,405,46,43,38,30,29,10,697,668,578,412,403,419,627,595,424,409,408,495,674,441,401,385,383,380,379,83,82,81,80,79,78,74,72,70,68,65,64,63,60,59,36,33,27,26,22,8,490,428,522,643,624,386,384,463,472,521,494,42,19,579,516,447,445,443,397,395,389,376,699,686,58,57,16,13,670,450,590,466,673,458,15,449,48,21,653,435,56,39,28,25,18,4,85,84,77,76,75,73,71,69,67,66,62,61,55,52,51,50,49,45,44,37,35,34,23,9,7,6,5,479,47,41,40,17,12,11,459,31,53,54,593,659,24,615,416,671,480,639,493,572,436,462,536,664,533,500,700,532,555,491,530,552,645,538,485,502,535,457,531,504,469,613,556,481,14,492,618,559,543])).
% 31.50/31.55 cnf(2886,plain,
% 31.50/31.55 (~P14(f39(x28861,f2(f33(f48(a45,a1))),a45))),
% 31.50/31.55 inference(rename_variables,[],[364])).
% 31.50/31.55 cnf(2892,plain,
% 31.50/31.55 (~P14(f39(f22(f32(a34,a16),f22(f32(a34,a16),f25(x28921,f32(a24,a51)))),f3(f9(a16,a50)),a45))),
% 31.50/31.55 inference(scs_inference,[],[350,110,310,202,125,127,742,2526,2615,2622,2625,2628,2778,116,223,2523,2685,2806,334,374,2792,2851,205,235,259,277,121,257,147,2807,150,161,118,352,281,2716,197,165,2634,2795,364,112,168,280,114,349,2137,2387,2450,2329,1665,2354,2491,2440,2389,2394,2446,2633,2828,2839,1521,2825,2442,2434,1858,2299,2678,2344,2350,2025,953,1056,1052,941,1441,1637,1203,943,1843,939,381,584,489,476,486,468,477,562,545,632,514,512,382,448,444,402,394,393,392,391,390,387,378,377,431,478,520,669,467,396,506,505,446,388,523,574,607,460,405,46,43,38,30,29,10,697,668,578,412,403,419,627,595,424,409,408,495,674,441,401,385,383,380,379,83,82,81,80,79,78,74,72,70,68,65,64,63,60,59,36,33,27,26,22,8,490,428,522,643,624,386,384,463,472,521,494,42,19,579,516,447,445,443,397,395,389,376,699,686,58,57,16,13,670,450,590,466,673,458,15,449,48,21,653,435,56,39,28,25,18,4,85,84,77,76,75,73,71,69,67,66,62,61,55,52,51,50,49,45,44,37,35,34,23,9,7,6,5,479,47,41,40,17,12,11,459,31,53,54,593,659,24,615,416,671,480,639,493,572,436,462,536,664,533,500,700,532,555,491,530,552,645,538,485,502,535,457,531,504,469,613,556,481,14,492,618,559,543,547,629])).
% 31.50/31.55 cnf(2894,plain,
% 31.50/31.55 (P14(f32(f9(x28941,x28942),f32(a24,f32(a34,x28941))))),
% 31.50/31.55 inference(scs_inference,[],[350,110,310,202,125,127,742,2526,2615,2622,2625,2628,2778,116,223,2523,2685,2806,334,374,2792,2851,205,235,259,277,121,257,147,2807,150,161,118,352,281,2716,197,165,2634,2795,364,112,168,280,114,349,2137,2387,2450,2329,1665,2354,2491,2440,2389,2394,2446,2633,2828,2839,1521,2825,2442,2434,1858,2299,2678,2344,2350,2025,953,1056,1052,941,1441,1637,1203,943,1843,939,381,584,489,476,486,468,477,562,545,632,514,512,382,448,444,402,394,393,392,391,390,387,378,377,431,478,520,669,467,396,506,505,446,388,523,574,607,460,405,46,43,38,30,29,10,697,668,578,412,403,419,627,595,424,409,408,495,674,441,401,385,383,380,379,83,82,81,80,79,78,74,72,70,68,65,64,63,60,59,36,33,27,26,22,8,490,428,522,643,624,386,384,463,472,521,494,42,19,579,516,447,445,443,397,395,389,376,699,686,58,57,16,13,670,450,590,466,673,458,15,449,48,21,653,435,56,39,28,25,18,4,85,84,77,76,75,73,71,69,67,66,62,61,55,52,51,50,49,45,44,37,35,34,23,9,7,6,5,479,47,41,40,17,12,11,459,31,53,54,593,659,24,615,416,671,480,639,493,572,436,462,536,664,533,500,700,532,555,491,530,552,645,538,485,502,535,457,531,504,469,613,556,481,14,492,618,559,543,547,629,464])).
% 31.50/31.55 cnf(2898,plain,
% 31.50/31.55 (P6(x28981,f3(f3(f3(x28981))),f48(a45,a1))),
% 31.50/31.55 inference(scs_inference,[],[350,110,310,202,125,127,742,2526,2615,2622,2625,2628,2778,116,223,2523,2685,2806,334,374,2792,2851,205,235,259,277,121,257,147,2807,150,161,118,352,281,2716,197,165,2634,2795,364,112,168,280,114,156,349,1861,2137,2387,2450,2329,1665,2354,2491,2440,2389,2394,2446,2633,2828,2839,1521,2825,2442,2434,1858,2299,2678,2344,2350,2025,953,1056,1052,941,1441,1637,1203,943,1843,939,381,584,489,476,486,468,477,562,545,632,514,512,382,448,444,402,394,393,392,391,390,387,378,377,431,478,520,669,467,396,506,505,446,388,523,574,607,460,405,46,43,38,30,29,10,697,668,578,412,403,419,627,595,424,409,408,495,674,441,401,385,383,380,379,83,82,81,80,79,78,74,72,70,68,65,64,63,60,59,36,33,27,26,22,8,490,428,522,643,624,386,384,463,472,521,494,42,19,579,516,447,445,443,397,395,389,376,699,686,58,57,16,13,670,450,590,466,673,458,15,449,48,21,653,435,56,39,28,25,18,4,85,84,77,76,75,73,71,69,67,66,62,61,55,52,51,50,49,45,44,37,35,34,23,9,7,6,5,479,47,41,40,17,12,11,459,31,53,54,593,659,24,615,416,671,480,639,493,572,436,462,536,664,533,500,700,532,555,491,530,552,645,538,485,502,535,457,531,504,469,613,556,481,14,492,618,559,543,547,629,464,617,470])).
% 31.50/31.55 cnf(2910,plain,
% 31.50/31.55 (P3(f41(a24,x29101,a47,a45),f2(f2(f41(a24,x29101,a47,a45))),x29102)),
% 31.50/31.55 inference(scs_inference,[],[350,110,310,202,125,127,267,742,2526,2615,2622,2625,2628,2778,116,223,2523,2685,2806,2822,334,374,2792,2851,205,163,235,259,277,121,257,736,147,2807,150,192,193,161,118,352,281,2716,197,165,2634,2795,364,112,168,280,114,156,349,1861,2137,2471,2387,2450,2329,1665,2354,2491,2440,2389,2394,2446,2633,2828,2839,1521,2825,2442,2434,1858,2831,2299,2678,2344,2350,2025,953,1056,1052,941,1441,1637,1203,943,1843,939,381,584,489,476,486,468,477,562,545,632,514,512,382,448,444,402,394,393,392,391,390,387,378,377,431,478,520,669,467,396,506,505,446,388,523,574,607,460,405,46,43,38,30,29,10,697,668,578,412,403,419,627,595,424,409,408,495,674,441,401,385,383,380,379,83,82,81,80,79,78,74,72,70,68,65,64,63,60,59,36,33,27,26,22,8,490,428,522,643,624,386,384,463,472,521,494,42,19,579,516,447,445,443,397,395,389,376,699,686,58,57,16,13,670,450,590,466,673,458,15,449,48,21,653,435,56,39,28,25,18,4,85,84,77,76,75,73,71,69,67,66,62,61,55,52,51,50,49,45,44,37,35,34,23,9,7,6,5,479,47,41,40,17,12,11,459,31,53,54,593,659,24,615,416,671,480,639,493,572,436,462,536,664,533,500,700,532,555,491,530,552,645,538,485,502,535,457,531,504,469,613,556,481,14,492,618,559,543,547,629,464,617,470,508,534,524,92,2,97])).
% 31.50/31.55 cnf(2911,plain,
% 31.50/31.55 (P3(f2(f2(f41(a24,x29111,a47,a45))),f41(a24,x29111,a47,a45),x29112)),
% 31.50/31.55 inference(scs_inference,[],[350,110,310,202,125,127,267,742,2526,2615,2622,2625,2628,2778,116,223,2523,2685,2806,2822,334,374,2792,2851,205,163,235,259,277,121,257,736,147,2807,150,192,193,161,118,352,281,2716,197,165,2634,2795,364,112,168,280,114,156,349,1861,2137,2467,2471,2387,2450,2329,1665,2354,2491,2440,2389,2394,2446,2633,2828,2839,1521,2825,2442,2434,1858,2831,2299,2678,2344,2350,2025,953,1056,1052,941,1441,1637,1203,943,1843,939,381,584,489,476,486,468,477,562,545,632,514,512,382,448,444,402,394,393,392,391,390,387,378,377,431,478,520,669,467,396,506,505,446,388,523,574,607,460,405,46,43,38,30,29,10,697,668,578,412,403,419,627,595,424,409,408,495,674,441,401,385,383,380,379,83,82,81,80,79,78,74,72,70,68,65,64,63,60,59,36,33,27,26,22,8,490,428,522,643,624,386,384,463,472,521,494,42,19,579,516,447,445,443,397,395,389,376,699,686,58,57,16,13,670,450,590,466,673,458,15,449,48,21,653,435,56,39,28,25,18,4,85,84,77,76,75,73,71,69,67,66,62,61,55,52,51,50,49,45,44,37,35,34,23,9,7,6,5,479,47,41,40,17,12,11,459,31,53,54,593,659,24,615,416,671,480,639,493,572,436,462,536,664,533,500,700,532,555,491,530,552,645,538,485,502,535,457,531,504,469,613,556,481,14,492,618,559,543,547,629,464,617,470,508,534,524,92,2,97,98])).
% 31.50/31.55 cnf(2914,plain,
% 31.50/31.55 (~P14(f6(f33(f48(x29141,a1)),f39(f32(f36(x29142),x29143),f41(a34,x29144,a46,a47),a47),f48(x29141,a1)))),
% 31.50/31.55 inference(scs_inference,[],[350,110,310,202,125,127,267,177,742,2526,2615,2622,2625,2628,2778,116,223,2523,2685,2806,2822,334,170,374,2792,2851,205,163,221,235,259,277,121,257,736,147,2807,150,192,193,161,118,352,281,2716,197,165,2634,2795,364,112,168,280,114,156,349,1861,2137,2467,2471,2387,2469,2450,2329,1665,2354,2491,2440,2389,2394,2446,2633,2828,2839,1521,2825,2442,2434,1858,2831,2299,2678,2344,2350,1030,2025,953,1056,1052,941,1441,1637,1203,943,1843,939,381,584,489,476,486,468,477,562,545,632,514,512,382,448,444,402,394,393,392,391,390,387,378,377,431,478,520,669,467,396,506,505,446,388,523,574,607,460,405,46,43,38,30,29,10,697,668,578,412,403,419,627,595,424,409,408,495,674,441,401,385,383,380,379,83,82,81,80,79,78,74,72,70,68,65,64,63,60,59,36,33,27,26,22,8,490,428,522,643,624,386,384,463,472,521,494,42,19,579,516,447,445,443,397,395,389,376,699,686,58,57,16,13,670,450,590,466,673,458,15,449,48,21,653,435,56,39,28,25,18,4,85,84,77,76,75,73,71,69,67,66,62,61,55,52,51,50,49,45,44,37,35,34,23,9,7,6,5,479,47,41,40,17,12,11,459,31,53,54,593,659,24,615,416,671,480,639,493,572,436,462,536,664,533,500,700,532,555,491,530,552,645,538,485,502,535,457,531,504,469,613,556,481,14,492,618,559,543,547,629,464,617,470,508,534,524,92,2,97,98,91,90,88])).
% 31.50/31.55 cnf(2917,plain,
% 31.50/31.55 (~E(f5(x29171,f14(x29172,f4(x29173),x29174),x29173),x29171)),
% 31.50/31.55 inference(rename_variables,[],[742])).
% 31.50/31.55 cnf(2927,plain,
% 31.50/31.55 (P14(f30(f14(f12(a16,x29271,f19(f21(x29272))),f4(a29),a29)))),
% 31.50/31.55 inference(scs_inference,[],[350,110,310,202,125,127,267,177,335,742,2526,2615,2622,2625,2628,2778,2817,2917,116,223,2523,2685,2806,2822,334,170,374,2792,2851,205,163,221,235,259,277,121,257,736,111,147,2807,150,192,193,161,118,128,352,281,2716,197,165,2634,2795,364,112,168,280,114,156,349,1861,2137,2467,2471,2387,2469,2450,2329,1665,2354,2491,2440,2389,2394,2446,2633,2828,2839,1521,2825,2442,2434,1858,2831,2299,2678,2344,2350,1030,2025,953,1056,1052,941,1441,1637,1203,2533,943,1843,939,947,381,584,489,476,486,468,477,562,545,632,514,512,382,448,444,402,394,393,392,391,390,387,378,377,431,478,520,669,467,396,506,505,446,388,523,574,607,460,405,46,43,38,30,29,10,697,668,578,412,403,419,627,595,424,409,408,495,674,441,401,385,383,380,379,83,82,81,80,79,78,74,72,70,68,65,64,63,60,59,36,33,27,26,22,8,490,428,522,643,624,386,384,463,472,521,494,42,19,579,516,447,445,443,397,395,389,376,699,686,58,57,16,13,670,450,590,466,673,458,15,449,48,21,653,435,56,39,28,25,18,4,85,84,77,76,75,73,71,69,67,66,62,61,55,52,51,50,49,45,44,37,35,34,23,9,7,6,5,479,47,41,40,17,12,11,459,31,53,54,593,659,24,615,416,671,480,639,493,572,436,462,536,664,533,500,700,532,555,491,530,552,645,538,485,502,535,457,531,504,469,613,556,481,14,492,618,559,543,547,629,464,617,470,508,534,524,92,2,97,98,91,90,88,3,20,89,411,488,426,640])).
% 31.50/31.55 cnf(2939,plain,
% 31.50/31.55 (P14(f39(f21(x29391),f26(x29392),a45))),
% 31.50/31.55 inference(rename_variables,[],[165])).
% 31.50/31.55 cnf(2941,plain,
% 31.50/31.55 (~P14(f39(f22(f32(a34,a53),x29411),f26(f2(f9(a16,f4(a29)))),a45))),
% 31.50/31.55 inference(scs_inference,[],[350,110,310,202,125,127,267,177,335,742,2526,2615,2622,2625,2628,2778,2817,2917,116,223,2523,2685,2806,2822,334,170,374,2792,2851,205,163,221,235,259,277,121,257,736,111,147,2807,150,192,193,161,179,118,128,352,281,2716,197,160,165,2634,2795,2811,364,2886,363,112,168,280,114,156,349,1861,2137,2467,2471,2387,2469,2450,2329,1665,2354,2491,2440,2389,2394,2446,2633,2828,2839,1521,2825,2442,2434,1858,2831,2299,2678,2344,2350,1030,2100,2025,953,1056,1052,941,1441,1637,1203,2533,943,2012,1843,939,947,381,584,489,476,486,468,477,562,545,632,514,512,382,448,444,402,394,393,392,391,390,387,378,377,431,478,520,669,467,396,506,505,446,388,523,574,607,460,405,46,43,38,30,29,10,697,668,578,412,403,419,627,595,424,409,408,495,674,441,401,385,383,380,379,83,82,81,80,79,78,74,72,70,68,65,64,63,60,59,36,33,27,26,22,8,490,428,522,643,624,386,384,463,472,521,494,42,19,579,516,447,445,443,397,395,389,376,699,686,58,57,16,13,670,450,590,466,673,458,15,449,48,21,653,435,56,39,28,25,18,4,85,84,77,76,75,73,71,69,67,66,62,61,55,52,51,50,49,45,44,37,35,34,23,9,7,6,5,479,47,41,40,17,12,11,459,31,53,54,593,659,24,615,416,671,480,639,493,572,436,462,536,664,533,500,700,532,555,491,530,552,645,538,485,502,535,457,531,504,469,613,556,481,14,492,618,559,543,547,629,464,617,470,508,534,524,92,2,97,98,91,90,88,3,20,89,411,488,426,640,487,551,558,592,587])).
% 31.50/31.55 cnf(2945,plain,
% 31.50/31.55 (~P14(f39(f25(f32(a24,f32(a34,a53)),f23(x29451)),f26(f9(a16,f4(a29))),a45))),
% 31.50/31.55 inference(scs_inference,[],[350,110,310,202,125,127,267,177,335,742,2526,2615,2622,2625,2628,2778,2817,2917,116,223,2523,2685,2806,2822,334,170,374,2792,2851,205,163,221,235,259,277,121,257,731,736,111,147,2807,150,192,193,161,179,118,128,352,281,2716,197,160,165,2634,2795,2811,364,2886,363,112,168,280,114,156,349,1861,2137,2467,2471,2387,2469,2450,2329,1665,2354,2491,2440,2389,2394,2446,2633,2828,2839,1521,2825,2442,2434,1858,2831,2299,2678,2344,2350,1030,2100,2193,2025,953,1056,1052,941,1441,1637,1203,2533,943,2012,1843,939,947,381,584,489,476,486,468,477,562,545,632,514,512,382,448,444,402,394,393,392,391,390,387,378,377,431,478,520,669,467,396,506,505,446,388,523,574,607,460,405,46,43,38,30,29,10,697,668,578,412,403,419,627,595,424,409,408,495,674,441,401,385,383,380,379,83,82,81,80,79,78,74,72,70,68,65,64,63,60,59,36,33,27,26,22,8,490,428,522,643,624,386,384,463,472,521,494,42,19,579,516,447,445,443,397,395,389,376,699,686,58,57,16,13,670,450,590,466,673,458,15,449,48,21,653,435,56,39,28,25,18,4,85,84,77,76,75,73,71,69,67,66,62,61,55,52,51,50,49,45,44,37,35,34,23,9,7,6,5,479,47,41,40,17,12,11,459,31,53,54,593,659,24,615,416,671,480,639,493,572,436,462,536,664,533,500,700,532,555,491,530,552,645,538,485,502,535,457,531,504,469,613,556,481,14,492,618,559,543,547,629,464,617,470,508,534,524,92,2,97,98,91,90,88,3,20,89,411,488,426,640,487,551,558,592,587,96,583])).
% 31.65/31.55 cnf(2956,plain,
% 31.65/31.55 (P14(f39(x29561,f15(f5(x29562,f14(x29561,x29563,x29564),x29564),x29564),x29564))),
% 31.65/31.55 inference(rename_variables,[],[281])).
% 31.65/31.55 cnf(2964,plain,
% 31.65/31.55 (P6(x29641,f6(x29642,x29641,f48(x29643,a47)),f48(x29643,a47))),
% 31.65/31.55 inference(scs_inference,[],[350,110,310,202,125,127,267,177,335,742,2526,2615,2622,2625,2628,2778,2817,2917,116,223,2523,2685,2806,2822,334,170,374,2792,2851,205,163,221,235,259,277,121,257,731,736,111,147,2807,150,192,193,161,179,118,128,352,281,2716,2816,2956,329,197,160,165,2634,2795,2811,364,2886,169,363,112,168,280,114,241,156,349,1861,2137,2467,2471,2387,2469,2450,2329,1553,1665,2354,2491,2440,2389,2394,2446,2633,2828,2839,1521,2825,2442,2434,1858,2831,2299,2678,2344,2350,1030,2100,2193,2025,953,1056,1052,1393,941,1441,1943,1637,1203,2533,943,2012,1843,939,947,381,584,489,476,486,468,477,562,545,632,514,512,382,448,444,402,394,393,392,391,390,387,378,377,431,478,520,669,467,396,506,505,446,388,523,574,607,460,405,46,43,38,30,29,10,697,668,578,412,403,419,627,595,424,409,408,495,674,441,401,385,383,380,379,83,82,81,80,79,78,74,72,70,68,65,64,63,60,59,36,33,27,26,22,8,490,428,522,643,624,386,384,463,472,521,494,42,19,579,516,447,445,443,397,395,389,376,699,686,58,57,16,13,670,450,590,466,673,458,15,449,48,21,653,435,56,39,28,25,18,4,85,84,77,76,75,73,71,69,67,66,62,61,55,52,51,50,49,45,44,37,35,34,23,9,7,6,5,479,47,41,40,17,12,11,459,31,53,54,593,659,24,615,416,671,480,639,493,572,436,462,536,664,533,500,700,532,555,491,530,552,645,538,485,502,535,457,531,504,469,613,556,481,14,492,618,559,543,547,629,464,617,470,508,534,524,92,2,97,98,91,90,88,3,20,89,411,488,426,640,487,551,558,592,587,96,583,602,425,637,714,712,709,439])).
% 31.65/31.55 cnf(2973,plain,
% 31.65/31.55 (~P14(f39(f25(x29731,f25(f32(a24,a51),x29732)),f26(f3(f9(a16,a50))),a45))),
% 31.65/31.55 inference(scs_inference,[],[350,110,310,202,125,127,267,177,335,742,2526,2615,2622,2625,2628,2778,2817,2917,116,223,2523,2685,2806,2822,334,170,374,2792,2851,205,163,221,235,259,277,121,257,731,736,111,147,2807,150,192,193,161,179,118,128,352,281,2716,2816,2956,329,197,160,165,2634,2795,2811,2939,364,2886,169,363,112,168,280,114,241,156,349,1861,2137,2467,2471,2387,2469,2450,2329,1553,1665,2354,2491,2440,2389,2394,2446,2633,2828,2839,1521,2825,2442,2434,1858,2831,2299,2678,2344,2350,1030,2100,2193,2025,953,1056,1052,1393,941,1441,1943,1637,1203,2533,943,2012,1843,939,947,381,584,489,476,486,468,477,562,545,632,514,512,382,448,444,402,394,393,392,391,390,387,378,377,431,478,520,669,467,396,506,505,446,388,523,574,607,460,405,46,43,38,30,29,10,697,668,578,412,403,419,627,595,424,409,408,495,674,441,401,385,383,380,379,83,82,81,80,79,78,74,72,70,68,65,64,63,60,59,36,33,27,26,22,8,490,428,522,643,624,386,384,463,472,521,494,42,19,579,516,447,445,443,397,395,389,376,699,686,58,57,16,13,670,450,590,466,673,458,15,449,48,21,653,435,56,39,28,25,18,4,85,84,77,76,75,73,71,69,67,66,62,61,55,52,51,50,49,45,44,37,35,34,23,9,7,6,5,479,47,41,40,17,12,11,459,31,53,54,593,659,24,615,416,671,480,639,493,572,436,462,536,664,533,500,700,532,555,491,530,552,645,538,485,502,535,457,531,504,469,613,556,481,14,492,618,559,543,547,629,464,617,470,508,534,524,92,2,97,98,91,90,88,3,20,89,411,488,426,640,487,551,558,592,587,96,583,602,425,637,714,712,709,439,407,406,641,560])).
% 31.65/31.55 cnf(2975,plain,
% 31.65/31.55 (P4(f15(f14(f25(x29751,x29752),x29753,x29754),x29754),x29751)),
% 31.65/31.55 inference(scs_inference,[],[350,110,310,202,125,127,267,177,335,742,2526,2615,2622,2625,2628,2778,2817,2917,116,223,2523,2685,2806,2822,334,170,374,2792,2851,205,163,221,235,259,277,121,257,731,736,111,147,2807,150,192,193,161,179,118,128,352,281,2716,2816,2956,329,197,160,165,2634,2795,2811,2939,364,2886,169,363,112,168,280,114,241,156,349,1861,2137,2349,2467,2471,2387,2469,2450,2329,1553,1665,2354,2491,2440,2389,2394,2446,2633,2828,2839,1521,2825,2442,2434,1858,2831,2299,2678,2344,2350,1030,2100,2193,2025,953,1056,1052,1393,941,1441,1943,1637,1203,2533,943,2012,1843,939,947,381,584,489,476,486,468,477,562,545,632,514,512,382,448,444,402,394,393,392,391,390,387,378,377,431,478,520,669,467,396,506,505,446,388,523,574,607,460,405,46,43,38,30,29,10,697,668,578,412,403,419,627,595,424,409,408,495,674,441,401,385,383,380,379,83,82,81,80,79,78,74,72,70,68,65,64,63,60,59,36,33,27,26,22,8,490,428,522,643,624,386,384,463,472,521,494,42,19,579,516,447,445,443,397,395,389,376,699,686,58,57,16,13,670,450,590,466,673,458,15,449,48,21,653,435,56,39,28,25,18,4,85,84,77,76,75,73,71,69,67,66,62,61,55,52,51,50,49,45,44,37,35,34,23,9,7,6,5,479,47,41,40,17,12,11,459,31,53,54,593,659,24,615,416,671,480,639,493,572,436,462,536,664,533,500,700,532,555,491,530,552,645,538,485,502,535,457,531,504,469,613,556,481,14,492,618,559,543,547,629,464,617,470,508,534,524,92,2,97,98,91,90,88,3,20,89,411,488,426,640,487,551,558,592,587,96,583,602,425,637,714,712,709,439,407,406,641,560,415])).
% 31.65/31.55 cnf(2977,plain,
% 31.65/31.55 (P4(f15(f14(f25(x29771,x29772),x29773,x29774),x29774),x29772)),
% 31.65/31.55 inference(scs_inference,[],[350,110,310,202,125,127,267,177,335,742,2526,2615,2622,2625,2628,2778,2817,2917,116,223,2523,2685,2806,2822,334,170,374,2792,2851,205,163,221,235,259,277,121,257,731,736,111,147,2807,150,192,193,161,179,118,128,352,281,2716,2816,2956,329,197,160,165,2634,2795,2811,2939,364,2886,169,363,112,168,280,114,241,156,349,1861,2137,2349,2467,2471,2387,2469,2450,2329,1553,1665,2354,2491,2440,2389,2394,2446,2633,2828,2839,1521,2825,2442,2434,1858,2831,2299,2678,2344,2350,1030,2100,2193,2025,953,1056,1052,1393,941,1441,1943,1637,1203,2533,943,2012,1843,939,947,381,584,489,476,486,468,477,562,545,632,514,512,382,448,444,402,394,393,392,391,390,387,378,377,431,478,520,669,467,396,506,505,446,388,523,574,607,460,405,46,43,38,30,29,10,697,668,578,412,403,419,627,595,424,409,408,495,674,441,401,385,383,380,379,83,82,81,80,79,78,74,72,70,68,65,64,63,60,59,36,33,27,26,22,8,490,428,522,643,624,386,384,463,472,521,494,42,19,579,516,447,445,443,397,395,389,376,699,686,58,57,16,13,670,450,590,466,673,458,15,449,48,21,653,435,56,39,28,25,18,4,85,84,77,76,75,73,71,69,67,66,62,61,55,52,51,50,49,45,44,37,35,34,23,9,7,6,5,479,47,41,40,17,12,11,459,31,53,54,593,659,24,615,416,671,480,639,493,572,436,462,536,664,533,500,700,532,555,491,530,552,645,538,485,502,535,457,531,504,469,613,556,481,14,492,618,559,543,547,629,464,617,470,508,534,524,92,2,97,98,91,90,88,3,20,89,411,488,426,640,487,551,558,592,587,96,583,602,425,637,714,712,709,439,407,406,641,560,415,414])).
% 31.65/31.55 cnf(2992,plain,
% 31.65/31.55 (P14(f39(f21(x29921),f26(x29922),a45))),
% 31.65/31.55 inference(rename_variables,[],[165])).
% 31.65/31.55 cnf(2995,plain,
% 31.65/31.55 (~P14(f39(f25(f25(x29951,f25(f32(a24,a51),x29952)),x29953),f26(f3(f9(a16,a50))),a45))),
% 31.65/31.55 inference(scs_inference,[],[311,281,165,169,2973,2347,620,577,660,561])).
% 31.65/31.55 cnf(2997,plain,
% 31.65/31.55 (P6(f3(f6(x29971,x29972,f48(a45,a1))),f3(f6(x29971,f3(x29972),f48(a45,a1))),f48(a45,a1))),
% 31.65/31.55 inference(scs_inference,[],[311,145,281,165,148,169,2973,2347,620,577,660,561,630])).
% 31.65/31.55 cnf(2999,plain,
% 31.65/31.55 (P6(x29991,x29991,f48(x29992,a1))),
% 31.65/31.55 inference(rename_variables,[],[145])).
% 31.65/31.55 cnf(3001,plain,
% 31.65/31.55 (P14(f39(f32(a24,f32(a34,a16)),f3(f9(a16,f4(a29))),a45))),
% 31.65/31.55 inference(scs_inference,[],[311,145,281,165,148,169,156,154,2973,2347,620,577,660,561,630,601])).
% 31.65/31.55 cnf(3005,plain,
% 31.65/31.55 (~P14(f39(f12(a17,x30051,f22(x30052,f25(x30053,f25(f21(x30054),f25(f32(a24,x30055),f21(x30056)))))),f15(f14(f12(a16,x30057,f21(x30058)),f14(f12(a16,x30059,f19(f21(x300510))),f4(a29),a29),a29),a29),a29))),
% 31.65/31.55 inference(scs_inference,[],[311,307,166,145,281,165,148,169,156,154,2973,2347,2794,620,577,660,561,630,601,567,702])).
% 31.65/31.55 cnf(3010,plain,
% 31.65/31.55 (P6(f32(f2(f9(a16,x30101)),x30102),f32(f7(x30101),x30102),a1)),
% 31.65/31.55 inference(scs_inference,[],[311,307,166,115,145,281,165,148,169,156,154,2973,2347,2794,620,577,660,561,630,601,567,702,619,483])).
% 31.65/31.55 cnf(3015,plain,
% 31.65/31.55 (~P14(f39(f23(f42(x30151)),f7(x30151),a45))),
% 31.65/31.55 inference(rename_variables,[],[354])).
% 31.65/31.55 cnf(3025,plain,
% 31.65/31.55 (P9(f48(x30251,a1))),
% 31.65/31.55 inference(rename_variables,[],[947])).
% 31.65/31.55 cnf(3027,plain,
% 31.65/31.55 (P14(f39(f25(f21(x30271),f21(x30271)),f26(x30272),a45))),
% 31.65/31.55 inference(scs_inference,[],[311,339,307,166,366,115,145,281,165,2992,148,280,169,354,156,154,2973,2347,2881,2794,2344,947,620,577,660,561,630,601,567,702,619,483,594,676,636,710,434,580])).
% 31.65/31.55 cnf(3034,plain,
% 31.65/31.55 (P14(f39(f32(a24,f32(f36(x30341),x30342)),f9(a16,x30343),a45))),
% 31.65/31.55 inference(rename_variables,[],[224])).
% 31.65/31.55 cnf(3035,plain,
% 31.65/31.55 (P6(f9(x30351,x30352),f9(x30351,f14(x30353,x30352,a29)),f48(a45,a1))),
% 31.65/31.55 inference(rename_variables,[],[221])).
% 31.65/31.55 cnf(3039,plain,
% 31.65/31.55 (P14(f39(f32(a24,f32(a34,a16)),f2(f9(a16,f4(a29))),a45))),
% 31.65/31.55 inference(scs_inference,[],[350,311,339,224,307,335,166,205,366,115,221,126,145,281,165,2992,148,280,169,354,156,154,2973,2347,2881,2794,2344,947,620,577,660,561,630,601,567,702,619,483,594,676,636,710,434,580,625,701,570,509,600])).
% 31.65/31.55 cnf(3041,plain,
% 31.65/31.55 (~P14(f39(f22(x30411,x30412),f2(f6(f9(x30413,f4(a29)),f9(x30413,f4(a29)),f48(a45,a1))),a45))),
% 31.65/31.55 inference(scs_inference,[],[350,311,339,224,307,335,166,205,366,115,221,126,145,281,165,2992,363,148,280,169,354,156,154,2973,2347,2881,2794,2344,947,620,577,660,561,630,601,567,702,619,483,594,676,636,710,434,580,625,701,570,509,600,654])).
% 31.65/31.55 cnf(3043,plain,
% 31.65/31.55 (P14(f39(f22(f32(a34,a52),f25(f23(a55),f25(f21(a53),f25(f32(a24,a51),a56)))),f3(f40(x30431,f6(x30432,f9(a16,a50),f48(a45,a1)),a45)),a45))),
% 31.65/31.55 inference(scs_inference,[],[350,311,339,224,307,335,166,205,366,115,221,126,145,281,165,2992,363,148,280,169,354,156,154,2617,2973,2347,2881,2794,2344,947,620,577,660,561,630,601,567,702,619,483,594,676,636,710,434,580,625,701,570,509,600,654,605])).
% 31.65/31.55 cnf(3046,plain,
% 31.65/31.55 (~E(f22(x30461,x30462),f19(x30463))),
% 31.65/31.55 inference(rename_variables,[],[311])).
% 31.65/31.55 cnf(3053,plain,
% 31.65/31.55 (~P14(f39(f32(a24,f32(a34,a52)),f3(f3(f3(f9(a16,f4(a29))))),a45))),
% 31.65/31.55 inference(scs_inference,[],[350,311,339,224,307,335,373,166,205,366,369,115,221,126,145,2999,281,165,2992,363,148,280,169,354,156,154,2911,2617,2673,2973,2347,2881,2794,2344,947,620,577,660,561,630,601,567,702,619,483,594,676,636,710,434,580,625,701,570,509,600,654,605,593,416,671,32,553])).
% 31.65/31.55 cnf(3054,plain,
% 31.65/31.55 (P6(x30541,x30541,f48(x30542,a1))),
% 31.65/31.55 inference(rename_variables,[],[145])).
% 31.65/31.55 cnf(3056,plain,
% 31.65/31.55 (~P14(f39(f25(x30561,f25(f32(a24,a51),x30562)),f3(f9(a16,a50)),a45))),
% 31.65/31.55 inference(scs_inference,[],[350,311,339,224,307,335,373,166,205,366,369,115,221,126,145,2999,281,165,2992,363,148,280,169,354,156,154,2911,2617,2673,2973,2347,2881,2794,2344,947,620,577,660,561,630,601,567,702,619,483,594,676,636,710,434,580,625,701,570,509,600,654,605,593,416,671,32,553,493])).
% 31.65/31.55 cnf(3062,plain,
% 31.65/31.55 (~P14(f39(f25(f25(f23(x30621),x30622),x30623),f7(f4(a29)),a45))),
% 31.65/31.55 inference(scs_inference,[],[350,311,339,224,307,335,373,739,166,205,366,369,115,221,126,145,2999,281,165,2992,363,148,280,169,354,156,154,2911,2617,2673,2973,2347,2881,2794,2126,2193,2344,947,620,577,660,561,630,601,567,702,619,483,594,676,636,710,434,580,625,701,570,509,600,654,605,593,416,671,32,553,493,572,536])).
% 31.65/31.55 cnf(3064,plain,
% 31.65/31.55 (~P14(f39(f25(x30641,f32(a24,f32(a34,a52))),f3(f3(f9(a16,f4(a29)))),a45))),
% 31.65/31.55 inference(scs_inference,[],[350,311,339,224,307,335,373,739,166,205,366,369,115,221,126,145,2999,281,165,2992,363,148,280,169,354,156,154,2911,2617,2673,2973,2347,2881,2794,2126,2193,2344,947,620,577,660,561,630,601,567,702,619,483,594,676,636,710,434,580,625,701,570,509,600,654,605,593,416,671,32,553,493,572,536,533])).
% 31.65/31.55 cnf(3066,plain,
% 31.65/31.55 (P14(f39(f22(f32(a34,a52),f25(f23(a55),f25(f21(a53),f25(f32(a24,a51),a56)))),f2(f6(x30661,f9(a16,a50),f48(a45,a1))),a45))),
% 31.65/31.55 inference(scs_inference,[],[350,311,339,224,307,335,373,739,166,205,366,369,115,221,126,145,2999,281,165,2992,363,148,280,169,354,156,154,2911,2617,2673,2973,2347,2881,2794,2126,2193,2344,947,620,577,660,561,630,601,567,702,619,483,594,676,636,710,434,580,625,701,570,509,600,654,605,593,416,671,32,553,493,572,536,533,500])).
% 31.65/31.55 cnf(3069,plain,
% 31.65/31.55 (P6(f9(x30691,f4(a29)),f9(x30691,x30692),f48(a45,a1))),
% 31.65/31.55 inference(rename_variables,[],[167])).
% 31.65/31.55 cnf(3070,plain,
% 31.65/31.55 (P10(f48(x30701,a1))),
% 31.65/31.55 inference(rename_variables,[],[943])).
% 31.65/31.55 cnf(3072,plain,
% 31.65/31.55 (~P14(f39(f22(x30721,f23(x30722)),f2(f2(f9(x30723,f4(a29)))),a45))),
% 31.65/31.55 inference(scs_inference,[],[350,311,339,224,307,335,373,739,166,205,366,369,115,221,167,126,145,2999,281,165,2992,363,148,280,169,354,156,154,2911,1651,2617,2673,2827,2973,2347,2881,2794,2126,2193,943,2344,947,620,577,660,561,630,601,567,702,619,483,594,676,636,710,434,580,625,701,570,509,600,654,605,593,416,671,32,553,493,572,536,533,500,480,530])).
% 31.65/31.55 cnf(3076,plain,
% 31.65/31.55 (~P14(f39(f23(x30761),f2(f3(f9(x30762,f4(a29)))),a45))),
% 31.65/31.55 inference(scs_inference,[],[350,311,339,224,261,307,335,373,739,166,205,366,369,115,221,167,126,145,2999,150,281,361,165,2992,363,148,280,169,354,156,154,2911,1651,2617,2673,2827,2973,2347,2881,2794,2126,2193,943,2344,947,620,577,660,561,630,601,567,702,619,483,594,676,636,710,434,580,625,701,570,509,600,654,605,593,416,671,32,553,493,572,536,533,500,480,530,491,552])).
% 31.65/31.55 cnf(3085,plain,
% 31.65/31.55 (P6(f2(f9(a16,x30851)),f7(x30851),f48(a45,a1))),
% 31.65/31.55 inference(rename_variables,[],[166])).
% 31.65/31.55 cnf(3087,plain,
% 31.65/31.55 (~P6(f6(f9(x30871,x30872),x30873,f48(a45,a1)),f2(f33(f48(a45,a1))),f48(a45,a1))),
% 31.65/31.55 inference(scs_inference,[],[350,311,339,224,3034,261,307,335,373,739,166,205,366,369,115,221,167,126,145,2999,3054,150,281,361,165,2992,363,148,280,169,354,156,154,2691,2885,2911,2432,1651,2617,2673,2827,2973,2347,2881,2794,2126,2193,943,2344,947,3025,620,577,660,561,630,601,567,702,619,483,594,676,636,710,434,580,625,701,570,509,600,654,605,593,416,671,32,553,493,572,536,533,500,480,530,491,552,645,436,457,504])).
% 31.65/31.55 cnf(3088,plain,
% 31.65/31.55 (P9(f48(x30881,a1))),
% 31.65/31.55 inference(rename_variables,[],[947])).
% 31.65/31.55 cnf(3090,plain,
% 31.65/31.55 (P14(f39(f23(a55),f2(f6(x30901,f6(f9(a16,a50),f9(a16,a50),f48(a45,a1)),f48(a45,a1))),a45))),
% 31.65/31.55 inference(scs_inference,[],[350,311,339,224,3034,261,307,335,373,739,166,205,366,369,115,221,167,126,145,2999,3054,150,281,361,165,2992,363,148,280,169,354,156,154,2691,2885,2911,2432,1651,2617,2845,2673,2827,2973,2838,2347,2881,2794,2126,2193,943,2344,947,3025,620,577,660,561,630,601,567,702,619,483,594,676,636,710,434,580,625,701,570,509,600,654,605,593,416,671,32,553,493,572,536,533,500,480,530,491,552,645,436,457,504,664])).
% 31.65/31.55 cnf(3093,plain,
% 31.65/31.55 (~P6(f2(f9(x30931,x30932)),f2(f33(f48(a45,a1))),f48(a45,a1))),
% 31.65/31.55 inference(scs_inference,[],[350,311,339,224,3034,261,307,335,373,739,166,205,366,369,115,221,167,126,145,2999,3054,150,281,361,165,2992,363,148,280,169,354,156,154,2691,2885,2911,2432,1651,2617,2845,2673,2827,2973,2838,2347,2881,2794,2126,2193,943,2344,947,3025,620,577,660,561,630,601,567,702,619,483,594,676,636,710,434,580,625,701,570,509,600,654,605,593,416,671,32,553,493,572,536,533,500,480,530,491,552,645,436,457,504,664,469])).
% 31.65/31.55 cnf(3097,plain,
% 31.65/31.55 (~P14(f39(f25(f23(x30971),x30972),f2(f2(f9(x30973,f4(a29)))),a45))),
% 31.65/31.55 inference(scs_inference,[],[350,311,339,224,3034,261,307,335,373,739,166,205,366,369,115,221,167,126,145,2999,3054,150,281,361,165,2992,363,148,280,169,354,156,154,2691,2885,1479,2911,2432,1651,2617,2845,2673,2827,2973,2838,2347,2881,2794,2126,2193,943,2344,947,3025,620,577,660,561,630,601,567,702,619,483,594,676,636,710,434,580,625,701,570,509,600,654,605,593,416,671,32,553,493,572,536,533,500,480,530,491,552,645,436,457,504,664,469,556,532])).
% 31.65/31.55 cnf(3101,plain,
% 31.65/31.55 (P14(f39(f32(a24,f32(a18,f32(f36(x31011),x31012))),f3(f7(x31013)),a45))),
% 31.65/31.55 inference(scs_inference,[],[350,311,339,224,3034,261,307,335,373,739,166,205,366,369,115,221,167,126,145,2999,3054,150,281,361,165,2992,363,148,280,169,354,156,154,2691,2885,1479,2911,2432,1651,2617,2845,2673,2827,2973,2838,2347,2881,2794,2126,2193,943,2344,947,3025,620,577,660,561,630,601,567,702,619,483,594,676,636,710,434,580,625,701,570,509,600,654,605,593,416,671,32,553,493,572,536,533,500,480,530,491,552,645,436,457,504,664,469,556,532,555,492])).
% 31.65/31.55 cnf(3103,plain,
% 31.65/31.55 (P6(x31031,f6(x31032,f6(x31031,x31033,f48(x31034,a47)),f48(x31034,a47)),f48(x31034,a47))),
% 31.65/31.55 inference(scs_inference,[],[350,311,339,224,3034,261,307,335,373,739,166,205,366,369,115,221,167,126,145,2999,3054,150,281,361,165,2992,363,148,280,169,354,156,154,2691,2885,1479,2636,2964,2911,2432,1651,2617,2845,2673,2827,2973,2838,2347,2881,2680,2794,2126,2193,943,2344,947,3025,620,577,660,561,630,601,567,702,619,483,594,676,636,710,434,580,625,701,570,509,600,654,605,593,416,671,32,553,493,572,536,533,500,480,530,491,552,645,436,457,504,664,469,556,532,555,492,481])).
% 31.65/31.55 cnf(3111,plain,
% 31.65/31.55 (~P14(f39(f25(x31111,f25(f23(x31112),x31113)),f7(f4(a29)),a45))),
% 31.65/31.55 inference(scs_inference,[],[350,311,339,224,3034,261,307,335,373,739,166,205,366,369,115,221,167,126,145,2999,3054,150,281,361,165,2992,363,148,280,169,354,156,154,2691,2885,1479,2636,2964,2911,2432,1651,2617,2845,2673,2827,2973,2838,2347,2425,2881,2680,2794,2126,2193,943,2344,947,3025,3088,620,577,660,561,630,601,567,702,619,483,594,676,636,710,434,580,625,701,570,509,600,654,605,593,416,671,32,553,493,572,536,533,500,480,530,491,552,645,436,457,504,664,469,556,532,555,492,481,618,502,535])).
% 31.65/31.55 cnf(3113,plain,
% 31.65/31.55 (P14(f39(x31131,f3(f40(x31131,x31132,a45)),a45))),
% 31.65/31.55 inference(scs_inference,[],[350,311,339,224,3034,261,307,335,373,739,166,205,366,369,115,221,167,234,126,145,2999,3054,150,281,361,165,2992,363,148,280,169,354,156,154,2691,2885,1479,2636,2964,2911,2432,1651,2617,2845,2673,2827,2973,2838,2347,2425,2881,2680,2794,2126,2193,943,2344,947,3025,3088,620,577,660,561,630,601,567,702,619,483,594,676,636,710,434,580,625,701,570,509,600,654,605,593,416,671,32,553,493,572,536,533,500,480,530,491,552,645,436,457,504,664,469,556,532,555,492,481,618,502,535,538])).
% 31.65/31.55 cnf(3121,plain,
% 31.65/31.55 (P6(f2(f9(a16,x31211)),f7(x31211),f48(a45,a1))),
% 31.65/31.55 inference(rename_variables,[],[166])).
% 31.65/31.55 cnf(3125,plain,
% 31.65/31.55 (~P14(f39(f25(x31251,f23(f42(f14(x31252,x31253,a29)))),f9(a16,x31253),a45))),
% 31.65/31.55 inference(scs_inference,[],[350,311,339,224,3034,261,307,335,373,739,166,3085,205,366,369,115,221,3035,167,234,258,257,126,145,2999,3054,150,281,361,165,2992,363,148,280,169,354,156,154,2691,2885,1479,2636,2964,2911,2432,1651,2617,2845,2673,2827,2973,2838,2347,2425,2881,2843,2168,2680,2794,2126,2193,943,2344,947,3025,3088,620,577,660,561,630,601,567,702,619,483,594,676,636,710,434,580,625,701,570,509,600,654,605,593,416,671,32,553,493,572,536,533,500,480,530,491,552,645,436,457,504,664,469,556,532,555,492,481,618,502,535,538,485,531,508,559,543])).
% 31.65/31.55 cnf(3129,plain,
% 31.65/31.55 (~P14(f32(f40(f19(x31291),f33(f48(x31292,a1)),x31293),f22(x31294,x31295)))),
% 31.65/31.55 inference(scs_inference,[],[350,311,3046,339,224,3034,261,307,335,373,739,166,3085,205,366,369,115,221,3035,167,234,258,257,126,145,2999,3054,150,352,281,361,165,2992,363,148,280,169,354,156,154,2691,2885,1479,2636,2964,2911,2432,1651,2617,2845,2673,2827,2973,2838,2347,2425,2881,2843,2168,2680,2794,2126,2193,943,2344,947,3025,3088,620,577,660,561,630,601,567,702,619,483,594,676,636,710,434,580,625,701,570,509,600,654,605,593,416,671,32,553,493,572,536,533,500,480,530,491,552,645,436,457,504,664,469,556,532,555,492,481,618,502,535,538,485,531,508,559,543,547])).
% 31.65/31.55 cnf(3134,plain,
% 31.65/31.55 (~P14(f39(f32(f36(x31341),x31342),f41(a34,x31343,a46,a47),x31344))),
% 31.65/31.55 inference(scs_inference,[],[350,311,3046,339,224,3034,261,307,335,373,739,166,3085,205,366,369,115,221,3035,167,234,258,257,126,145,2999,3054,150,352,281,361,165,2992,363,148,280,169,354,156,154,2691,2885,1479,2636,2964,2911,2432,1651,2356,2617,2845,2673,2827,2973,2838,2347,2425,2881,2843,2168,2680,2794,2126,2193,943,2344,947,3025,3088,620,577,660,561,630,601,567,702,619,483,594,676,636,710,434,580,625,701,570,509,600,654,605,593,416,671,32,553,493,572,536,533,500,480,530,491,552,645,436,457,504,664,469,556,532,555,492,481,618,502,535,538,485,531,508,559,543,547,524,464])).
% 31.65/31.55 cnf(3139,plain,
% 31.65/31.55 (P14(f39(f25(f23(a55),f25(f21(a53),f25(f32(a24,a51),a56))),f3(f6(f41(a24,f40(f32(a34,a52),x31391,a47),a47,a45),f9(a16,a50),f48(a45,a1))),a45))),
% 31.65/31.55 inference(scs_inference,[],[350,311,3046,339,224,3034,261,307,335,373,739,166,3085,205,366,369,115,221,3035,167,234,258,257,126,145,2999,3054,150,352,281,361,165,2992,363,148,280,169,354,156,154,2691,2885,1479,2636,2964,2911,2432,1651,2356,2617,2845,2673,2827,2973,2838,2347,2425,1409,2881,2843,2168,2680,2794,2126,1154,2193,943,2344,947,3025,3088,620,577,660,561,630,601,567,702,619,483,594,676,636,710,434,580,625,701,570,509,600,654,605,593,416,671,32,553,493,572,536,533,500,480,530,491,552,645,436,457,504,664,469,556,532,555,492,481,618,502,535,538,485,531,508,559,543,547,524,464,617,629])).
% 31.65/31.55 cnf(3140,plain,
% 31.65/31.55 (P14(f39(f32(a24,x31401),f3(f6(f41(a24,f40(x31401,x31402,a47),a47,a45),x31403,f48(a45,a1))),a45))),
% 31.65/31.55 inference(rename_variables,[],[1154])).
% 31.65/31.55 cnf(3141,plain,
% 31.65/31.55 (P14(f39(f22(f32(a34,a52),f25(f23(a55),f25(f21(a53),f25(f32(a24,a51),a56)))),f3(f6(x31411,f9(a16,a50),f48(a45,a1))),a45))),
% 31.65/31.55 inference(rename_variables,[],[2617])).
% 31.65/31.55 cnf(3143,plain,
% 31.65/31.55 (~P6(f3(f3(f9(a16,x31431))),f3(f33(f48(a45,a1))),f48(a45,a1))),
% 31.65/31.55 inference(scs_inference,[],[350,311,3046,339,224,3034,261,307,335,373,739,166,3085,205,366,369,115,221,3035,167,234,258,257,126,145,2999,3054,150,352,281,361,165,2992,363,148,280,169,354,156,154,2691,2885,1479,2636,2964,2911,2432,1651,2356,2617,2845,2673,2827,2973,2838,2347,2425,1409,2881,2843,2168,2680,2794,2038,2126,1154,2193,943,2344,947,3025,3088,620,577,660,561,630,601,567,702,619,483,594,676,636,710,434,580,625,701,570,509,600,654,605,593,416,671,32,553,493,572,536,533,500,480,530,491,552,645,436,457,504,664,469,556,532,555,492,481,618,502,535,538,485,531,508,559,543,547,524,464,617,629,470])).
% 31.65/31.55 cnf(3145,plain,
% 31.65/31.55 (~P14(f39(f25(f32(a24,f32(a34,a52)),x31451),f3(f3(f9(a16,f4(a29)))),a45))),
% 31.65/31.55 inference(scs_inference,[],[350,311,3046,339,224,3034,261,307,335,373,739,166,3085,205,366,369,115,221,3035,167,234,258,257,126,145,2999,3054,150,352,281,361,165,2992,363,148,280,169,354,156,154,2691,2885,1479,2636,2964,2911,2432,1651,2356,2617,2845,2673,2827,2973,2838,2347,2425,1409,2881,2843,2168,2680,2794,2038,2126,1154,2193,943,2344,947,3025,3088,620,577,660,561,630,601,567,702,619,483,594,676,636,710,434,580,625,701,570,509,600,654,605,593,416,671,32,553,493,572,536,533,500,480,530,491,552,645,436,457,504,664,469,556,532,555,492,481,618,502,535,538,485,531,508,559,543,547,524,464,617,629,470,534])).
% 31.65/31.55 cnf(3148,plain,
% 31.65/31.55 (~P6(f35(f48(a45,a1)),f2(f9(x31481,f4(a29))),f6(f6(f33(f48(x31482,a1)),f33(f48(x31482,a1)),f48(x31482,a1)),f48(a45,a1),f48(x31482,a1)))),
% 31.65/31.55 inference(scs_inference,[],[350,311,3046,339,224,3034,261,250,729,307,335,373,739,166,3085,205,366,369,115,221,3035,167,234,258,257,126,145,2999,3054,150,352,281,361,165,2992,363,148,280,169,354,156,154,2691,2885,1479,2636,2964,2911,2432,1651,2356,2617,2845,2673,2827,2973,2838,2347,2425,1409,2881,2843,2168,2680,2794,2038,2126,2234,1154,2193,943,2344,947,3025,3088,620,577,660,561,630,601,567,702,619,483,594,676,636,710,434,580,625,701,570,509,600,654,605,593,416,671,32,553,493,572,536,533,500,480,530,491,552,645,436,457,504,664,469,556,532,555,492,481,618,502,535,538,485,531,508,559,543,547,524,464,617,629,470,534,2,92])).
% 31.65/31.55 cnf(3150,plain,
% 31.65/31.55 (~P6(f14(x31501,f33(f48(x31502,a1)),x31503),f41(x31504,f33(f48(x31505,a1)),x31505,x31502),f48(x31502,a1))),
% 31.65/31.55 inference(scs_inference,[],[350,311,3046,339,224,3034,261,220,250,729,307,335,373,739,166,3085,205,366,369,115,221,3035,167,234,258,257,126,145,2999,3054,150,736,352,281,361,165,2992,363,148,280,169,354,156,154,2691,2885,1479,2636,2964,2911,2432,1651,2356,2617,2845,2673,2827,2973,2838,2347,2425,1409,2881,2843,2168,2680,2794,2038,2126,2234,1154,2193,943,2344,947,3025,3088,620,577,660,561,630,601,567,702,619,483,594,676,636,710,434,580,625,701,570,509,600,654,605,593,416,671,32,553,493,572,536,533,500,480,530,491,552,645,436,457,504,664,469,556,532,555,492,481,618,502,535,538,485,531,508,559,543,547,524,464,617,629,470,534,2,92,91])).
% 31.65/31.55 cnf(3151,plain,
% 31.65/31.55 (~P6(f14(x31511,f33(f48(x31512,a1)),x31513),f33(f48(x31512,a1)),f48(x31512,a1))),
% 31.65/31.55 inference(rename_variables,[],[736])).
% 31.65/31.55 cnf(3157,plain,
% 31.65/31.55 (E(f6(x31571,f33(f48(x31572,a1)),f48(x31572,a1)),x31571)),
% 31.65/31.55 inference(rename_variables,[],[162])).
% 31.65/31.55 cnf(3165,plain,
% 31.65/31.55 (P6(x31651,f6(f6(x31652,f6(f6(f6(x31653,f6(f6(x31654,f6(x31655,x31651,a47),a47),x31656,a47),a47),x31657,a47),x31658,a47),a47),x31659,a47),a47)),
% 31.65/31.55 inference(scs_inference,[],[350,311,3046,339,224,3034,261,268,220,250,341,729,307,335,373,146,739,166,3085,727,205,366,129,369,162,3157,109,115,221,3035,167,234,258,257,126,145,2999,3054,150,736,3151,352,281,361,165,2992,363,148,280,169,354,156,114,154,2120,2691,2885,1479,2636,2964,2911,2432,1651,2356,2617,2845,2673,2827,2973,2838,2347,2425,2259,1409,2881,2843,2168,2680,2794,2857,2038,2126,2234,1154,2193,943,2344,947,3025,3088,620,577,660,561,630,601,567,702,619,483,594,676,636,710,434,580,625,701,570,509,600,654,605,593,416,671,32,553,493,572,536,533,500,480,530,491,552,645,436,457,504,664,469,556,532,555,492,481,618,502,535,538,485,531,508,559,543,547,524,464,617,629,470,534,2,92,91,88,97,98,20,90,3,87,666,607,488])).
% 31.65/31.55 cnf(3167,plain,
% 31.65/31.55 (~P6(f40(f23(x31671),f33(f48(x31672,a1)),x31672),f40(f25(x31673,x31674),f33(f48(x31672,a1)),x31672),f48(x31672,a1))),
% 31.65/31.55 inference(scs_inference,[],[350,311,3046,339,224,3034,261,268,220,250,341,729,307,335,373,146,739,166,3085,727,205,345,366,129,369,162,3157,109,115,221,3035,167,234,258,257,126,145,2999,3054,150,736,3151,352,281,361,165,2992,363,148,280,169,354,156,114,154,2120,2691,2697,2885,1479,2636,2964,2911,2432,1651,2356,2617,2845,2673,2827,2973,2838,2347,2425,2259,1409,2881,2843,2168,2680,2794,2857,2038,2126,2234,1154,2193,943,2344,947,3025,3088,620,577,660,561,630,601,567,702,619,483,594,676,636,710,434,580,625,701,570,509,600,654,605,593,416,671,32,553,493,572,536,533,500,480,530,491,552,645,436,457,504,664,469,556,532,555,492,481,618,502,535,538,485,531,508,559,543,547,524,464,617,629,470,534,2,92,91,88,97,98,20,90,3,87,666,607,488,589])).
% 31.65/31.55 cnf(3169,plain,
% 31.65/31.55 (~E(f40(x31691,x31692,x31693),f33(f48(x31693,a1)))),
% 31.65/31.55 inference(rename_variables,[],[345])).
% 31.65/31.55 cnf(3171,plain,
% 31.65/31.55 (~P14(f39(f22(x31711,f22(f32(a34,a53),x31712)),f26(f2(f9(a16,f4(a29)))),a45))),
% 31.65/31.55 inference(scs_inference,[],[350,311,3046,339,224,3034,261,268,220,250,341,729,307,335,373,146,739,166,3085,727,205,345,366,129,369,162,3157,109,115,221,3035,167,234,258,257,126,145,2999,3054,150,736,3151,352,281,361,165,2992,363,148,280,169,354,156,114,154,2120,2691,2697,2885,1479,2636,2964,2911,2432,1651,2356,2617,2845,2673,2941,2827,2973,2838,2347,2425,2259,1409,2881,2843,2168,2680,2794,2857,2038,2126,2234,1154,2193,943,2344,947,3025,3088,620,577,660,561,630,601,567,702,619,483,594,676,636,710,434,580,625,701,570,509,600,654,605,593,416,671,32,553,493,572,536,533,500,480,530,491,552,645,436,457,504,664,469,556,532,555,492,481,618,502,535,538,485,531,508,559,543,547,524,464,617,629,470,534,2,92,91,88,97,98,20,90,3,87,666,607,488,589,581])).
% 31.65/31.55 cnf(3182,plain,
% 31.65/31.55 (P14(f30(f14(f12(x31821,a17,f25(f21(x31821),f25(f21(x31822),f23(f42(f14(f12(a16,x31823,f19(f21(x31824))),f4(a29),a29)))))),f14(f12(a16,x31823,f19(f21(x31824))),f4(a29),a29),a29)))),
% 31.65/31.55 inference(scs_inference,[],[350,311,3046,339,224,3034,261,268,220,250,341,729,307,335,373,146,739,166,3085,3121,727,205,345,366,129,369,162,3157,109,115,221,3035,167,234,258,257,126,145,2999,3054,150,736,3151,352,281,361,165,2992,363,148,280,169,354,3015,156,114,154,2120,2691,2697,2885,1479,2636,2964,2911,2432,1651,2356,2927,2617,2845,2879,2673,2941,2827,2973,2838,2347,2444,2425,2259,1409,2881,2843,2168,2680,2794,2857,2038,2126,2234,1154,2193,943,2344,947,3025,3088,620,577,660,561,630,601,567,702,619,483,594,676,636,710,434,580,625,701,570,509,600,654,605,593,416,671,32,553,493,572,536,533,500,480,530,491,552,645,436,457,504,664,469,556,532,555,492,481,618,502,535,538,485,531,508,559,543,547,524,464,617,629,470,534,2,92,91,88,97,98,20,90,3,87,666,607,488,589,581,461,569,551,672])).
% 31.65/31.55 cnf(3185,plain,
% 31.65/31.55 (P14(f30(f14(f12(a16,x31851,f21(x31852)),f14(f12(a16,x31853,f19(f21(x31854))),f4(a29),a29),a29)))),
% 31.65/31.55 inference(scs_inference,[],[350,311,3046,339,224,3034,261,268,220,250,341,729,307,335,373,146,739,166,3085,3121,727,205,345,366,129,369,162,3157,109,115,221,3035,167,234,258,257,126,145,2999,3054,150,736,3151,352,281,361,165,2992,363,148,280,169,354,3015,156,114,154,2120,2691,2697,2885,1479,2636,2964,2911,2432,1651,2356,2927,2617,2845,2879,2673,2941,2827,2973,2838,2347,2444,2425,2259,1409,2881,2843,2168,2680,2794,2857,2038,2126,2234,1154,2193,943,2344,947,3025,3088,620,577,660,561,630,601,567,702,619,483,594,676,636,710,434,580,625,701,570,509,600,654,605,593,416,671,32,553,493,572,536,533,500,480,530,491,552,645,436,457,504,664,469,556,532,555,492,481,618,502,535,538,485,531,508,559,543,547,524,464,617,629,470,534,2,92,91,88,97,98,20,90,3,87,666,607,488,589,581,461,569,551,672,640])).
% 31.65/31.55 cnf(3192,plain,
% 31.65/31.55 (P6(x31921,f6(x31922,f6(x31923,f6(f6(f6(x31924,f6(f6(x31925,f6(x31926,x31921,a47),a47),x31927,a47),a47),x31928,a47),x31929,a47),a47),a47),a47)),
% 31.65/31.55 inference(scs_inference,[],[350,311,3046,339,224,3034,261,268,220,250,341,729,307,335,373,146,739,733,166,3085,3121,727,205,345,366,129,369,162,3157,109,115,221,3035,167,234,258,257,126,145,2999,3054,150,736,3151,352,281,361,165,2992,363,148,280,169,354,3015,156,114,154,2120,2691,2697,2885,1479,2636,2964,2911,2432,1651,2356,2927,2617,2845,2879,2673,2941,2827,2973,2838,2347,2444,2425,2259,1409,2881,2843,2168,2680,2794,2857,2038,2126,2234,1154,2193,943,2344,947,3025,3088,917,620,577,660,561,630,601,567,702,619,483,594,676,636,710,434,580,625,701,570,509,600,654,605,593,416,671,32,553,493,572,536,533,500,480,530,491,552,645,436,457,504,664,469,556,532,555,492,481,618,502,535,538,485,531,508,559,543,547,524,464,617,629,470,534,2,92,91,88,97,98,20,90,3,87,666,607,488,589,581,461,569,551,672,640,479,606,487])).
% 31.65/31.55 cnf(3194,plain,
% 31.65/31.55 (P14(f39(f25(f23(a55),f25(f21(a53),f25(f32(a24,a51),a56))),f2(f40(x31941,f6(f9(a16,a50),f9(a16,a50),f48(a45,a1)),a45)),a45))),
% 31.65/31.55 inference(scs_inference,[],[350,311,3046,339,224,3034,261,268,220,250,341,729,307,335,373,146,739,733,166,3085,3121,727,205,345,366,129,369,162,3157,109,115,221,3035,167,234,258,257,126,145,2999,3054,150,736,3151,352,281,361,165,2992,363,148,280,169,354,3015,156,114,154,2120,2691,2697,2885,1479,2636,2964,2911,2432,1651,2356,2927,2617,2845,2879,2673,2941,2827,2973,2838,2347,2444,2425,2259,1409,2881,2843,2168,2680,2794,2857,2038,2126,2234,1154,2193,943,2344,947,3025,3088,917,620,577,660,561,630,601,567,702,619,483,594,676,636,710,434,580,625,701,570,509,600,654,605,593,416,671,32,553,493,572,536,533,500,480,530,491,552,645,436,457,504,664,469,556,532,555,492,481,618,502,535,538,485,531,508,559,543,547,524,464,617,629,470,534,2,92,91,88,97,98,20,90,3,87,666,607,488,589,581,461,569,551,672,640,479,606,487,604])).
% 31.65/31.55 cnf(3196,plain,
% 31.65/31.55 (P14(f39(f22(x31961,f19(f22(x31962,f21(x31963)))),f26(f35(f48(a45,a1))),a45))),
% 31.65/31.55 inference(scs_inference,[],[350,311,3046,339,224,3034,261,268,220,250,341,729,307,335,373,146,739,733,166,3085,3121,727,205,345,366,129,369,162,3157,109,115,221,3035,167,234,258,257,126,145,2999,3054,150,736,3151,352,281,361,165,2992,363,148,280,169,354,3015,156,114,154,2120,2691,2697,1945,2885,1479,2636,2964,2911,2432,1651,2356,2927,2579,2617,2845,2879,2673,2941,2827,2973,2838,2347,2444,2425,2259,1409,2881,2843,2168,2680,2794,2857,2038,2126,2234,1154,2193,943,2344,947,3025,3088,917,620,577,660,561,630,601,567,702,619,483,594,676,636,710,434,580,625,701,570,509,600,654,605,593,416,671,32,553,493,572,536,533,500,480,530,491,552,645,436,457,504,664,469,556,532,555,492,481,618,502,535,538,485,531,508,559,543,547,524,464,617,629,470,534,2,92,91,88,97,98,20,90,3,87,666,607,488,589,581,461,569,551,672,640,479,606,487,604,592])).
% 31.65/31.55 cnf(3202,plain,
% 31.65/31.55 (~P14(f39(f22(f32(a34,a52),x32021),f26(f9(a16,f4(a29))),a45))),
% 31.65/31.55 inference(scs_inference,[],[350,311,3046,339,224,3034,261,268,220,250,341,729,307,335,373,146,739,733,166,3085,3121,727,205,345,366,129,369,162,3157,109,115,221,3035,167,3069,234,258,257,126,145,2999,3054,150,736,3151,352,281,361,165,2992,363,148,280,169,354,3015,156,114,154,360,2120,2691,2697,1945,2885,1479,2636,2964,2911,2432,1651,2356,2927,2579,2617,2845,2879,2673,2941,2827,2973,2838,2347,2444,2425,2259,1409,2881,2843,2168,2680,2794,2857,2038,2126,2234,1154,2193,1569,943,2344,947,3025,3088,917,620,577,660,561,630,601,567,702,619,483,594,676,636,710,434,580,625,701,570,509,600,654,605,593,416,671,32,553,493,572,536,533,500,480,530,491,552,645,436,457,504,664,469,556,532,555,492,481,618,502,535,538,485,531,508,559,543,547,524,464,617,629,470,534,2,92,91,88,97,98,20,90,3,87,666,607,488,589,581,461,569,551,672,640,479,606,487,604,592,658,587])).
% 31.65/31.55 cnf(3218,plain,
% 31.65/31.55 (~P14(f39(f25(f25(f23(x32181),x32182),x32183),f2(f9(x32184,f4(a29))),a45))),
% 31.65/31.55 inference(scs_inference,[],[350,311,3046,339,224,3034,261,268,220,250,341,729,307,335,373,146,739,733,166,3085,3121,727,205,345,3169,366,129,369,162,3157,109,115,221,3035,167,3069,234,258,257,126,145,2999,3054,731,150,161,736,3151,352,281,361,165,2992,363,148,280,169,354,3015,156,114,154,360,2120,2691,2697,1945,2885,1479,2636,2964,2911,2432,1651,2356,2927,2579,2617,3141,2845,2879,2673,2941,2827,2973,2838,2347,2444,2425,2259,1409,2881,2843,2168,2680,2794,2857,2038,2126,2234,1154,3140,2193,1569,943,3070,2344,947,3025,3088,917,620,577,660,561,630,601,567,702,619,483,594,676,636,710,434,580,625,701,570,509,600,654,605,593,416,671,32,553,493,572,536,533,500,480,530,491,552,645,436,457,504,664,469,556,532,555,492,481,618,502,535,538,485,531,508,559,543,547,524,464,617,629,470,534,2,92,91,88,97,98,20,90,3,87,666,607,488,589,581,461,569,551,672,640,479,606,487,604,592,658,587,453,615,96,24,462,576])).
% 31.65/31.55 cnf(3237,plain,
% 31.65/31.55 (P14(f39(f32(a24,f32(a34,a16)),f3(f9(a16,f14(f10(x32371,x32372),f4(a29),a29))),a45))),
% 31.65/31.55 inference(scs_inference,[],[3001,667])).
% 31.65/31.55 cnf(3239,plain,
% 31.65/31.55 (P14(f39(f32(a24,f32(a34,a16)),f3(f9(a16,f14(f12(x32391,x32392,x32393),f4(a29),a29))),a45))),
% 31.65/31.55 inference(scs_inference,[],[3001,667,680])).
% 31.65/31.55 cnf(3241,plain,
% 31.65/31.55 (~E(f40(f22(x32411,x32412),f40(f22(x32411,x32412),f33(f48(x32413,a1)),x32413),x32413),f40(x32414,f40(f21(x32415),f33(f48(x32413,a1)),x32413),x32413))),
% 31.65/31.55 inference(scs_inference,[],[312,3001,667,680,620])).
% 31.65/31.55 cnf(3243,plain,
% 31.65/31.55 (P14(f32(f6(f40(a37,x32431,x32432),f40(a38,x32433,x32434),f48(x32435,a1)),x32436))),
% 31.65/31.55 inference(scs_inference,[],[312,3001,1184,1186,667,680,620,429])).
% 31.65/31.55 cnf(3247,plain,
% 31.65/31.55 (~E(f6(x32471,f35(f48(x32472,a1)),f48(x32472,a1)),f33(f48(x32472,a1)))),
% 31.65/31.55 inference(scs_inference,[],[312,327,3001,1184,1186,953,667,680,620,429,425])).
% 31.65/31.55 cnf(3250,plain,
% 31.65/31.55 (~P14(f39(f22(f32(a34,a16),f22(f32(a34,a16),f22(f32(a34,a16),f25(x32501,f32(a24,a51))))),f3(f9(a16,a50)),a45))),
% 31.65/31.55 inference(scs_inference,[],[312,327,169,3001,2892,1184,1186,953,1441,667,680,620,429,425,616])).
% 31.65/31.55 cnf(3256,plain,
% 31.65/31.55 (P14(f39(x32561,f15(f14(x32562,f5(x32563,f14(x32561,x32564,x32565),x32565),x32565),x32565),x32565))),
% 31.65/31.55 inference(rename_variables,[],[1843])).
% 31.65/31.55 cnf(3257,plain,
% 31.65/31.55 (~E(f19(x32571),f22(x32572,x32573))),
% 31.65/31.55 inference(rename_variables,[],[305])).
% 31.65/31.55 cnf(3259,plain,
% 31.65/31.55 (P6(f32(x32591,x32592),f32(f6(x32593,f6(x32591,x32594,f48(x32595,a47)),f48(x32595,a47)),x32592),a47)),
% 31.65/31.55 inference(scs_inference,[],[312,327,305,116,223,169,3103,3001,2892,1184,1186,953,1441,1843,667,680,620,429,425,616,497,702,483])).
% 31.65/31.55 cnf(3262,plain,
% 31.65/31.55 (P14(f39(x32621,f15(f5(x32622,f14(x32621,x32623,x32624),x32624),x32624),x32624))),
% 31.65/31.55 inference(rename_variables,[],[281])).
% 31.65/31.55 cnf(3265,plain,
% 31.65/31.55 (P14(f39(f25(f23(a55),f25(f21(a53),f25(f32(a24,a51),a56))),f2(f40(x32651,f6(f9(a16,a50),f9(a16,a50),f48(a45,a1)),a45)),a45))),
% 31.65/31.55 inference(rename_variables,[],[3194])).
% 31.65/31.55 cnf(3270,plain,
% 31.65/31.55 (P6(f3(f6(f6(f3(x32701),f3(x32702),f48(a45,a1)),f6(f3(x32701),f3(x32702),f48(a45,a1)),f48(a45,a1))),f3(f6(f6(x32701,x32702,f48(a45,a1)),f6(x32701,x32702,f48(a45,a1)),f48(a45,a1))),f48(a45,a1))),
% 31.65/31.55 inference(scs_inference,[],[312,327,305,116,223,281,165,169,2575,3103,3001,2892,3194,2581,1184,1186,953,1441,1843,667,680,620,429,425,616,497,702,483,577,660,594,630])).
% 31.65/31.55 cnf(3272,plain,
% 31.65/31.55 (~P14(f39(f22(x32721,f22(f32(a34,a52),x32722)),f26(f9(a16,f4(a29))),a45))),
% 31.65/31.55 inference(scs_inference,[],[312,327,305,116,223,281,165,169,2575,3103,3202,3001,2892,3194,2581,1184,1186,953,1441,1569,1843,667,680,620,429,425,616,497,702,483,577,660,594,630,581])).
% 31.65/31.55 cnf(3280,plain,
% 31.65/31.55 (P9(f48(x32801,a1))),
% 31.65/31.55 inference(rename_variables,[],[947])).
% 31.65/31.55 cnf(3293,plain,
% 31.65/31.55 (P14(f39(x32931,f15(f14(x32932,f5(x32933,f14(x32931,x32934,x32935),x32935),x32935),x32935),x32935))),
% 31.65/31.55 inference(rename_variables,[],[1843])).
% 31.65/31.55 cnf(3296,plain,
% 31.65/31.55 (P6(f15(x32961,x32962),f15(f14(x32963,x32961,x32962),x32962),f48(x32962,a1))),
% 31.65/31.55 inference(rename_variables,[],[223])).
% 31.65/31.55 cnf(3298,plain,
% 31.65/31.55 (E(f3(f6(f6(f3(x32981),x32982,f48(a45,a1)),f3(x32983),f48(a45,a1))),f3(f6(f6(x32981,x32982,f48(a45,a1)),x32983,f48(a45,a1))))),
% 31.65/31.55 inference(scs_inference,[],[312,327,305,326,116,223,260,205,126,281,165,169,2575,3103,3093,3196,3202,3001,2892,3194,2581,2543,1184,1186,953,1441,1569,1843,3256,3293,947,917,667,680,620,429,425,616,497,702,483,577,660,594,630,581,607,567,519,619,459,461,434,580,701,570,509])).
% 31.65/31.55 cnf(3303,plain,
% 31.65/31.55 (~P14(f39(f32(a24,a51),f3(f40(f25(f21(x33031),f21(x33031)),f9(a16,a50),a45)),a45))),
% 31.65/31.55 inference(scs_inference,[],[312,327,305,326,116,223,260,205,167,126,281,361,165,364,169,360,2575,3103,3093,3027,3196,3202,3001,2892,3194,2581,2543,1184,1186,953,1441,1569,1843,3256,3293,947,917,667,680,620,429,425,616,497,702,483,577,660,594,630,581,607,567,519,619,459,461,434,580,701,570,509,654,658])).
% 31.65/31.55 cnf(3310,plain,
% 31.65/31.55 (P6(f3(f40(f22(x33101,x33102),x33103,a45)),f40(f22(x33101,x33102),f3(f40(x33102,x33103,a45)),a45),f48(a45,a1))),
% 31.65/31.55 inference(rename_variables,[],[277])).
% 31.65/31.55 cnf(3311,plain,
% 31.65/31.55 (P10(f48(x33111,a1))),
% 31.65/31.55 inference(rename_variables,[],[943])).
% 31.65/31.55 cnf(3315,plain,
% 31.65/31.55 (P14(f39(x33151,f2(f9(a16,f5(x33152,f14(f12(x33153,x33154,f22(f32(a34,a16),x33151)),x33155,a29),a29))),a45))),
% 31.65/31.55 inference(rename_variables,[],[1970])).
% 31.65/31.55 cnf(3317,plain,
% 31.65/31.55 (~P3(f22(x33171,x33172),f21(x33173),x33174)),
% 31.65/31.55 inference(scs_inference,[],[351,312,327,305,3257,326,116,223,260,277,205,167,126,281,361,165,364,169,360,2575,3103,3093,3027,3196,3202,3001,2892,3194,3125,2581,2543,1184,1186,2329,1970,953,1441,1569,943,1843,3256,3293,947,917,667,680,620,429,425,616,497,702,483,577,660,594,630,581,607,567,519,619,459,461,434,580,701,570,509,654,658,606,453,685,416])).
% 31.65/31.55 cnf(3319,plain,
% 31.65/31.55 (~P14(f39(f32(a24,f32(a34,a52)),f26(f9(a16,f4(a29))),a45))),
% 31.65/31.55 inference(scs_inference,[],[351,312,327,305,3257,326,116,223,260,277,205,167,126,281,361,165,364,169,360,2575,3103,3093,3027,3196,3202,3001,2892,3194,3125,2581,2543,1184,1186,2329,1970,887,953,1441,1569,943,1843,3256,3293,947,917,667,680,620,429,425,616,497,702,483,577,660,594,630,581,607,567,519,619,459,461,434,580,701,570,509,654,658,606,453,685,416,639])).
% 31.65/31.55 cnf(3323,plain,
% 31.65/31.55 (P14(f39(f25(f23(a55),f25(f21(a53),f25(f32(a24,a51),a56))),f3(f6(f3(f41(a24,f40(f32(a34,a52),x33231,a47),a47,a45)),f9(a16,a50),f48(a45,a1))),a45))),
% 31.65/31.55 inference(scs_inference,[],[351,312,327,305,3257,326,116,223,260,277,205,167,126,281,361,165,364,169,360,2231,2575,3103,3093,3027,3196,3202,3001,3139,2892,3194,3125,2581,2543,1184,1186,2329,1970,887,953,1441,1569,943,1843,3256,3293,947,917,667,680,620,429,425,616,497,702,483,577,660,594,630,581,607,567,519,619,459,461,434,580,701,570,509,654,658,606,453,685,416,639,553])).
% 31.65/31.55 cnf(3332,plain,
% 31.65/31.55 (P14(f39(x33321,f2(f9(a16,f5(x33322,f14(f12(x33323,x33324,f22(f32(a34,a16),x33321)),x33325,a29),a29))),a45))),
% 31.65/31.55 inference(rename_variables,[],[1970])).
% 31.65/31.55 cnf(3339,plain,
% 31.65/31.55 (P14(f39(f25(f23(a55),f25(f21(a53),f25(f32(a24,a51),a56))),f2(f6(x33391,f9(a16,a50),f48(a45,a1))),a45))),
% 31.65/31.55 inference(scs_inference,[],[351,312,327,305,3257,326,116,223,260,277,3310,205,167,234,126,281,361,165,280,364,169,360,2231,2575,3103,3093,3027,3196,3202,3053,3001,3066,3139,2892,3194,3125,2581,2543,1184,1186,2329,1970,3315,887,953,1441,1569,943,3311,1843,3256,3293,947,917,667,680,620,429,425,616,497,702,483,577,660,594,630,581,607,567,519,619,459,461,434,580,701,570,509,654,658,606,453,685,416,639,553,462,533,700,480,530])).
% 31.65/31.55 cnf(3355,plain,
% 31.65/31.55 (~P14(f39(f25(f25(f25(f23(x33551),x33552),x33553),x33554),f7(f4(a29)),a45))),
% 31.65/31.55 inference(scs_inference,[],[351,312,225,132,327,305,3257,326,116,223,260,277,3310,205,167,234,126,352,197,281,3262,361,165,280,364,169,360,2231,2575,3103,3093,2894,3027,3196,3202,3053,3001,3066,3041,3139,2892,3194,3062,3125,2614,2581,2543,1184,1186,2329,1970,3315,887,953,1441,1569,943,3311,1843,3256,3293,947,917,667,680,620,429,425,616,497,702,483,577,660,594,630,581,607,567,519,619,459,461,434,580,701,570,509,654,658,606,453,685,416,639,553,462,533,700,480,530,491,32,493,572,436,457,536])).
% 31.65/31.55 cnf(3357,plain,
% 31.65/31.55 (P14(f39(f25(f23(a55),f25(f21(a53),f25(f32(a24,a51),a56))),f2(f6(f6(f9(a16,a50),f9(a16,a50),f48(a45,a1)),f6(x33571,f9(a16,a50),f48(a45,a1)),f48(a45,a1))),a45))),
% 31.65/31.55 inference(scs_inference,[],[351,312,225,132,327,305,3257,326,116,223,260,277,3310,205,167,234,126,352,197,281,3262,361,165,280,364,169,360,2231,2575,3103,3093,2894,3027,3196,3202,3053,3001,3066,3041,3139,2892,3194,3265,3062,3125,2614,2581,2543,1184,1186,2329,1970,3315,887,953,1441,1569,943,3311,1843,3256,3293,947,917,667,680,620,429,425,616,497,702,483,577,660,594,630,581,607,567,519,619,459,461,434,580,701,570,509,654,658,606,453,685,416,639,553,462,533,700,480,530,491,32,493,572,436,457,536,664])).
% 31.65/31.55 cnf(3360,plain,
% 31.65/31.55 (P6(x33601,f2(f2(f2(f2(f2(x33601))))),f48(a45,a1))),
% 31.65/31.55 inference(scs_inference,[],[351,312,225,132,327,305,3257,326,116,223,260,277,3310,205,167,234,126,352,197,281,3262,361,165,280,364,169,360,2231,2575,2870,3103,3093,2894,3027,3196,3202,3053,3001,3066,3041,3139,2892,3194,3265,3062,3125,2614,2581,2543,1184,1186,2329,1970,3315,887,953,1441,1569,943,3311,1843,3256,3293,947,917,667,680,620,429,425,616,497,702,483,577,660,594,630,581,607,567,519,619,459,461,434,580,701,570,509,654,658,606,453,685,416,639,553,462,533,700,480,530,491,32,493,572,436,457,536,664,469])).
% 31.65/31.55 cnf(3369,plain,
% 31.65/31.55 (~P14(f39(f32(a24,f32(a34,a17)),f3(f9(a16,f4(a29))),a45))),
% 31.65/31.55 inference(scs_inference,[],[351,312,225,132,327,305,3257,326,116,223,260,277,3310,205,167,234,258,126,352,197,281,3262,361,165,280,364,169,156,349,360,2231,2575,2870,3103,3093,2894,3027,3196,3202,3053,3145,3001,3066,3041,3139,2892,3194,3265,3062,3125,2614,2581,2543,1184,1186,2329,1970,3315,887,953,1441,1569,943,3311,1843,3256,3293,947,917,667,680,620,429,425,616,497,702,483,577,660,594,630,581,607,567,519,619,459,461,434,580,701,570,509,654,658,606,453,685,416,639,553,462,533,700,480,530,491,32,493,572,436,457,536,664,469,556,500,492,618])).
% 31.65/31.55 cnf(3371,plain,
% 31.65/31.55 (~P6(f40(f25(x33711,f23(x33712)),x33713,a45),f2(f9(x33714,f4(a29))),f48(a45,a1))),
% 31.65/31.55 inference(scs_inference,[],[351,312,225,132,327,305,3257,326,116,223,260,277,3310,205,167,234,258,126,352,197,281,3262,361,165,280,364,169,156,349,360,2231,2575,2870,3103,3093,2894,3027,3196,3202,3053,3145,3001,3066,3041,3139,2892,2865,3194,3265,3062,3125,2614,2581,2543,1184,1186,2329,1970,3315,887,953,1441,1569,943,3311,1843,3256,3293,947,917,667,680,620,429,425,616,497,702,483,577,660,594,630,581,607,567,519,619,459,461,434,580,701,570,509,654,658,606,453,685,416,639,553,462,533,700,480,530,491,32,493,572,436,457,536,664,469,556,500,492,618,552])).
% 31.65/31.55 cnf(3372,plain,
% 31.65/31.55 (P14(f39(x33721,f2(f40(f25(x33722,x33721),x33723,a45)),a45))),
% 31.65/31.55 inference(rename_variables,[],[2865])).
% 31.65/31.55 cnf(3375,plain,
% 31.65/31.55 (P6(x33751,f26(x33751),f48(a45,a1))),
% 31.65/31.55 inference(rename_variables,[],[149])).
% 31.65/31.55 cnf(3378,plain,
% 31.65/31.55 (~E(f5(x33781,f14(x33782,f4(x33783),x33784),x33783),x33781)),
% 31.65/31.55 inference(rename_variables,[],[742])).
% 31.65/31.55 cnf(3383,plain,
% 31.65/31.55 (P6(x33831,f26(x33831),f48(a45,a1))),
% 31.65/31.55 inference(rename_variables,[],[149])).
% 31.65/31.55 cnf(3385,plain,
% 31.65/31.55 (~P14(f39(f25(x33851,f25(f25(f23(x33852),x33853),x33854)),f7(f4(a29)),a45))),
% 31.65/31.55 inference(scs_inference,[],[351,312,225,132,327,305,3257,326,742,116,223,260,277,3310,205,149,3375,167,234,258,126,736,160,352,197,281,3262,361,165,280,364,169,156,349,360,2231,2575,2870,3103,3093,2894,3027,3196,3202,3053,3145,3001,3066,3041,3139,2892,2865,3194,3265,3062,3125,2614,2581,2543,1184,1186,2329,1970,3315,887,953,1441,1569,943,3311,1843,3256,3293,947,917,667,680,620,429,425,616,497,702,483,577,660,594,630,581,607,567,519,619,459,461,434,580,701,570,509,654,658,606,453,685,416,639,553,462,533,700,480,530,491,32,493,572,436,457,536,664,469,556,500,492,618,552,645,485,508,535])).
% 31.65/31.55 cnf(3388,plain,
% 31.65/31.55 (P6(x33881,f3(x33881),f48(a45,a1))),
% 31.65/31.55 inference(rename_variables,[],[148])).
% 31.65/31.55 cnf(3389,plain,
% 31.65/31.55 (P9(f48(x33891,a1))),
% 31.65/31.55 inference(rename_variables,[],[947])).
% 31.65/31.55 cnf(3391,plain,
% 31.65/31.55 (P14(f39(x33911,f2(f40(f25(x33912,f25(x33911,x33913)),x33914,a45)),a45))),
% 31.65/31.55 inference(scs_inference,[],[351,312,225,132,327,305,3257,326,742,116,223,260,277,3310,205,149,3375,167,234,258,126,736,160,352,197,281,3262,361,165,148,280,364,169,156,349,360,2231,2575,2870,3103,3093,2894,3027,3196,3202,3053,3145,3001,3066,3041,3139,2892,2865,3372,3194,3265,3062,3125,2614,2581,2543,1184,1186,2329,1970,3315,887,953,1441,1569,943,3311,1843,3256,3293,947,3280,917,667,680,620,429,425,616,497,702,483,577,660,594,630,581,607,567,519,619,459,461,434,580,701,570,509,654,658,606,453,685,416,639,553,462,533,700,480,530,491,32,493,572,436,457,536,664,469,556,500,492,618,552,645,485,508,535,504,532])).
% 31.65/31.55 cnf(3398,plain,
% 31.65/31.55 (P6(f15(x33981,x33982),f15(f14(x33983,x33981,x33982),x33982),f48(x33982,a1))),
% 31.65/31.55 inference(rename_variables,[],[223])).
% 31.65/31.55 cnf(3399,plain,
% 31.65/31.55 (P6(x33991,f26(x33991),f48(a45,a1))),
% 31.65/31.55 inference(rename_variables,[],[149])).
% 31.65/31.55 cnf(3404,plain,
% 31.65/31.55 (~P14(f39(f22(x34041,x34042),f40(f19(x34043),f33(f48(x34044,a1)),x34045),x34046))),
% 31.65/31.55 inference(scs_inference,[],[351,312,225,132,327,305,3257,326,742,116,223,3296,260,277,3310,205,149,3375,3383,167,234,258,126,736,160,352,197,281,3262,361,165,148,3388,280,364,169,156,349,360,2231,2575,2870,3129,3103,3093,2894,3027,3196,3202,3053,3145,3001,3066,3041,3139,2892,2865,3372,3194,3265,1990,3062,3125,2614,2581,2543,1184,1186,2329,1970,3315,887,953,1441,1569,943,3311,1843,3256,3293,939,947,3280,917,667,680,620,429,425,616,497,702,483,577,660,594,630,581,607,567,519,619,459,461,434,580,701,570,509,654,658,606,453,685,416,639,553,462,533,700,480,530,491,32,493,572,436,457,536,664,469,556,500,492,618,552,645,485,508,535,504,532,555,481,559,464])).
% 31.65/31.55 cnf(3415,plain,
% 31.65/31.55 (P14(f39(f25(f23(a55),f25(f21(a53),f25(f32(a24,a51),a56))),f3(f40(f32(a24,f32(a34,a52)),f6(x34151,f9(a16,a50),f48(a45,a1)),a45)),a45))),
% 31.65/31.55 inference(scs_inference,[],[351,312,225,132,327,305,3257,326,742,116,223,3296,260,277,3310,205,149,3375,3383,167,234,258,126,736,160,352,197,281,3262,361,165,148,3388,280,364,169,156,349,360,2231,2293,2575,2870,3129,3103,3093,2894,3027,3196,3202,3053,3145,3001,3066,3041,3139,2892,3113,2865,3372,3043,3194,3265,1990,3062,3125,2614,2581,2543,1184,1186,2329,1970,3315,3332,887,953,1441,1569,943,3311,1843,3256,3293,939,947,3280,3389,917,667,680,620,429,425,616,497,702,483,577,660,594,630,581,607,567,519,619,459,461,434,580,701,570,509,654,658,606,453,685,416,639,553,462,533,700,480,530,491,32,493,572,436,457,536,664,469,556,500,492,618,552,645,485,508,535,504,532,555,481,559,464,538,502,617,629])).
% 31.65/31.55 cnf(3419,plain,
% 31.65/31.55 (P6(x34191,f3(f3(f3(f3(x34191)))),f48(a45,a1))),
% 31.65/31.56 inference(scs_inference,[],[351,312,225,132,327,305,3257,326,742,116,223,3296,260,277,3310,205,149,3375,3383,167,234,258,126,736,160,352,197,281,3262,361,165,148,3388,280,364,169,156,349,360,2231,2293,2575,2870,2898,3129,3103,3093,2894,3027,3196,3202,3053,3145,3001,3066,3041,3139,2892,3113,2865,3372,3043,3194,3265,1990,3062,3125,2614,2581,2543,1184,1186,2329,1970,3315,3332,887,953,1441,1569,943,3311,1843,3256,3293,939,947,3280,3389,917,667,680,620,429,425,616,497,702,483,577,660,594,630,581,607,567,519,619,459,461,434,580,701,570,509,654,658,606,453,685,416,639,553,462,533,700,480,530,491,32,493,572,436,457,536,664,469,556,500,492,618,552,645,485,508,535,504,532,555,481,559,464,538,502,617,629,470])).
% 31.65/31.56 cnf(3422,plain,
% 31.65/31.56 (~P14(f39(f25(x34221,f22(x34222,x34223)),f2(f6(f9(x34224,f4(a29)),f9(x34224,f4(a29)),f48(a45,a1))),a45))),
% 31.65/31.56 inference(scs_inference,[],[351,312,225,132,327,305,3257,326,742,116,223,3296,260,277,3310,205,149,3375,3383,167,234,258,126,736,160,352,197,281,3262,361,165,148,3388,280,364,169,156,349,360,2231,2293,2575,2870,2898,3129,3103,3093,2894,3027,3196,3202,3053,3145,3001,3066,3041,3139,2892,3113,2865,3372,3043,3194,3265,1990,3062,3125,2614,2581,2543,1184,1186,2329,1970,3315,3332,887,953,1441,1569,943,3311,1843,3256,3293,939,947,3280,3389,917,667,680,620,429,425,616,497,702,483,577,660,594,630,581,607,567,519,619,459,461,434,580,701,570,509,654,658,606,453,685,416,639,553,462,533,700,480,530,491,32,493,572,436,457,536,664,469,556,500,492,618,552,645,485,508,535,504,532,555,481,559,464,538,502,617,629,470,531])).
% 31.65/31.56 cnf(3427,plain,
% 31.65/31.56 (P14(f32(f40(a38,x34271,x34272),f5(a37,f14(x34273,f4(x34274),x34275),x34274)))),
% 31.65/31.56 inference(scs_inference,[],[351,312,225,132,327,305,3257,326,742,3378,116,223,3296,260,259,277,3310,205,149,3375,3383,167,234,258,126,736,160,352,197,281,3262,361,165,148,3388,280,364,169,156,349,360,2231,2293,2575,2870,2898,3129,3103,3093,2894,3027,3196,3202,3053,3145,3001,3066,3041,3139,2892,3113,2865,3372,3043,3194,3265,1990,3062,3125,2614,2581,2543,1184,1186,1708,2329,1970,3315,3332,887,953,1441,1569,943,3311,1843,3256,3293,939,947,3280,3389,917,667,680,620,429,425,616,497,702,483,577,660,594,630,581,607,567,519,619,459,461,434,580,701,570,509,654,658,606,453,685,416,639,553,462,533,700,480,530,491,32,493,572,436,457,536,664,469,556,500,492,618,552,645,485,508,535,504,532,555,481,559,464,538,502,617,629,470,531,543,547])).
% 31.65/31.56 cnf(3434,plain,
% 31.65/31.56 (~P14(f39(f25(f32(a24,f32(a34,a52)),x34341),f3(f3(f3(f9(a16,f4(a29))))),a45))),
% 31.65/31.56 inference(scs_inference,[],[351,312,225,132,327,305,3257,326,742,3378,116,223,3296,260,259,277,3310,205,149,3375,3383,147,167,234,258,126,736,160,352,197,281,3262,361,165,148,3388,280,364,169,156,349,360,2231,2293,2575,2870,2898,3129,3103,3093,2894,3027,3196,3202,3053,3145,3001,3066,3041,3139,2892,3113,2865,3372,3043,3194,3265,1990,3062,3125,2614,2581,2543,1184,1186,1708,2329,1970,3315,3332,887,953,1441,1569,943,3311,1843,3256,3293,939,947,3280,3389,917,667,680,620,429,425,616,497,702,483,577,660,594,630,581,607,567,519,619,459,461,434,580,701,570,509,654,658,606,453,685,416,639,553,462,533,700,480,530,491,32,493,572,436,457,536,664,469,556,500,492,618,552,645,485,508,535,504,532,555,481,559,464,538,502,617,629,470,531,543,547,524,534])).
% 31.65/31.56 cnf(3439,plain,
% 31.65/31.56 (E(f32(a34,x34391),f32(a18,f32(a34,x34391)))),
% 31.65/31.56 inference(scs_inference,[],[351,312,225,132,327,305,3257,326,742,3378,116,223,3296,3398,260,259,277,3310,205,149,3375,3383,147,167,234,258,126,736,160,352,197,281,3262,361,165,148,3388,280,364,169,156,349,360,2231,2293,2575,2870,2898,3129,3103,3093,2894,3027,3196,3202,3053,3145,3001,3066,3041,3139,2892,3113,2865,3372,3043,3194,3265,1990,3062,3125,2614,2581,2543,2666,1184,1186,1708,2329,1970,3315,3332,887,953,1441,1569,943,3311,1843,3256,3293,939,947,3280,3389,917,667,680,620,429,425,616,497,702,483,577,660,594,630,581,607,567,519,619,459,461,434,580,701,570,509,654,658,606,453,685,416,639,553,462,533,700,480,530,491,32,493,572,436,457,536,664,469,556,500,492,618,552,645,485,508,535,504,532,555,481,559,464,538,502,617,629,470,531,543,547,524,534,92,2])).
% 31.65/31.56 cnf(3447,plain,
% 31.65/31.56 (P3(x34471,x34471,x34472)),
% 31.65/31.56 inference(rename_variables,[],[133])).
% 31.65/31.56 cnf(3451,plain,
% 31.65/31.56 (E(f32(a18,f32(a34,x34511)),f32(a34,x34511))),
% 31.65/31.56 inference(rename_variables,[],[132])).
% 31.65/31.56 cnf(3459,plain,
% 31.65/31.56 (~P14(f39(f25(f25(f23(x34591),x34592),f22(x34593,f22(f32(a34,a53),x34594))),f26(f2(f9(a16,f4(a29)))),a45))),
% 31.65/31.56 inference(scs_inference,[],[351,312,225,132,3451,327,305,3257,326,341,742,3378,116,223,3296,3398,260,138,259,277,3310,205,149,3375,3383,3399,147,167,234,258,133,3447,126,145,736,160,352,197,281,3262,361,165,108,148,3388,280,364,169,241,156,349,360,2231,2293,2575,2870,2898,3129,3103,3093,2894,3027,3196,3202,3053,3145,3001,3066,3041,3171,3139,2892,3218,3113,2865,3372,3043,3194,3265,1990,3062,3125,2614,2581,2543,2739,2666,1184,1186,1708,2329,1970,3315,3332,887,953,1441,1569,943,3311,1843,3256,3293,939,947,3280,3389,917,667,680,620,429,425,616,497,702,483,577,660,594,630,581,607,567,519,619,459,461,434,580,701,570,509,654,658,606,453,685,416,639,553,462,533,700,480,530,491,32,493,572,436,457,536,664,469,556,500,492,618,552,645,485,508,535,504,532,555,481,559,464,538,502,617,629,470,531,543,547,524,534,92,2,88,91,20,97,98,3,90,86,638,582])).
% 31.65/31.56 cnf(3490,plain,
% 31.65/31.56 (~E(f35(f48(x34901,a1)),f33(f48(x34901,a1)))),
% 31.65/31.56 inference(rename_variables,[],[327])).
% 31.65/31.56 cnf(3492,plain,
% 31.65/31.56 (~P14(f39(f32(a24,a51),f3(f40(f25(f21(x34921),f21(x34921)),f40(f25(f21(x34921),f21(x34921)),f9(a16,a50),a45),a45)),a45))),
% 31.65/31.56 inference(scs_inference,[],[313,327,154,3303,3113,2843,953,621,596,426,638])).
% 31.65/31.56 cnf(3493,plain,
% 31.65/31.56 (P14(f39(x34931,f3(f40(x34931,x34932,a45)),a45))),
% 31.65/31.56 inference(rename_variables,[],[3113])).
% 31.65/31.56 cnf(3502,plain,
% 31.65/31.56 (P6(f6(x35021,x35021,a1),x35021,a1)),
% 31.65/31.56 inference(scs_inference,[],[351,313,346,327,113,154,3404,3303,3005,921,3113,2843,953,799,2794,621,596,426,638,705,537,519])).
% 31.65/31.56 cnf(3505,plain,
% 31.65/31.56 (E(f40(x35051,f40(x35052,x35053,x35054),x35054),f40(x35052,f40(x35051,x35053,x35054),x35054))),
% 31.65/31.56 inference(rename_variables,[],[207])).
% 31.65/31.56 cnf(3506,plain,
% 31.65/31.56 (P4(f40(x35061,x35062,x35063),x35061)),
% 31.65/31.56 inference(rename_variables,[],[731])).
% 31.65/31.56 cnf(3507,plain,
% 31.65/31.56 (P14(f39(f23(a55),f2(f6(f9(a16,a50),f9(a16,a50),f48(a45,a1))),a45))),
% 31.65/31.56 inference(scs_inference,[],[351,313,207,346,327,731,361,113,154,3404,3303,3005,3090,921,3113,2843,953,799,2794,621,596,426,638,705,537,519,95,654])).
% 31.65/31.56 cnf(3514,plain,
% 31.65/31.56 (~P6(f40(f23(x35141),f33(f48(x35142,a1)),x35142),f40(f25(x35143,x35144),f33(f48(x35142,a1)),x35142),f48(x35142,a1))),
% 31.65/31.56 inference(rename_variables,[],[3167])).
% 31.65/31.56 cnf(3515,plain,
% 31.65/31.56 (P6(x35151,f40(x35152,x35151,x35153),f48(x35153,a1))),
% 31.65/31.56 inference(rename_variables,[],[179])).
% 31.65/31.56 cnf(3517,plain,
% 31.65/31.56 (~P14(f39(f32(a24,f32(a34,a17)),f26(f3(f9(a16,f4(a29)))),a45))),
% 31.65/31.56 inference(scs_inference,[],[351,313,207,346,327,151,179,731,167,361,113,154,3404,3167,3369,3303,3005,3090,921,3113,3493,2843,953,799,2794,621,596,426,638,705,537,519,95,654,461,570,658])).
% 31.65/31.56 cnf(3529,plain,
% 31.65/31.56 (P14(f39(f25(f21(a53),f25(f32(a24,a51),a56)),f3(f6(f3(f41(a24,f40(f32(a34,a52),x35291,a47),a47,a45)),f9(a16,a50),f48(a45,a1))),a45))),
% 31.65/31.56 inference(scs_inference,[],[351,313,207,309,346,327,151,179,731,167,361,113,154,3404,3167,3319,3369,3323,3303,3005,3090,921,2910,3113,3493,2147,2843,953,799,2794,621,596,426,638,705,537,519,95,654,461,570,658,546,685,416,533])).
% 31.65/31.56 cnf(3533,plain,
% 31.65/31.56 (~P14(f39(f22(x35331,f22(f32(a34,a52),x35332)),f26(f40(f21(x35333),f9(a16,f4(a29)),a45)),a45))),
% 31.65/31.56 inference(scs_inference,[],[351,313,207,309,346,327,151,118,179,731,167,165,361,113,154,3404,3167,3272,3319,3369,3323,3303,3005,3090,921,3259,2868,2910,3113,3493,2147,2843,953,799,2794,621,596,426,638,705,537,519,95,654,461,570,658,546,685,416,533,480,639])).
% 31.65/31.56 cnf(3536,plain,
% 31.65/31.56 (P14(f39(f32(a24,f32(a18,f32(f36(x35361),x35362))),f2(f9(x35362,f4(a29))),a45))),
% 31.65/31.56 inference(scs_inference,[],[351,313,263,207,309,346,327,151,118,179,731,167,165,361,113,154,3404,3167,3272,3319,3369,3323,3303,3005,3090,921,3259,2868,2910,3113,3493,2147,2843,953,799,2794,621,596,426,638,705,537,519,95,654,461,570,658,546,685,416,533,480,639,491])).
% 31.65/31.56 cnf(3538,plain,
% 31.65/31.56 (~P14(f39(f25(f25(x35381,f25(f32(a24,a51),x35382)),x35383),f3(f9(a16,a50)),a45))),
% 31.65/31.56 inference(scs_inference,[],[351,313,263,207,309,346,327,151,118,179,731,167,165,361,113,154,3404,3167,3272,3319,3369,3323,2995,3303,3005,3090,921,3259,2868,2910,3113,3493,2147,2843,953,799,2794,621,596,426,638,705,537,519,95,654,461,570,658,546,685,416,533,480,639,491,493])).
% 31.65/31.56 cnf(3543,plain,
% 31.65/31.56 (P14(f32(f2(f40(x35431,x35432,a45)),x35431))),
% 31.65/31.56 inference(scs_inference,[],[351,313,263,207,309,346,327,151,233,118,179,731,167,197,165,361,113,154,3404,3167,3272,3319,3369,3323,2833,2995,3303,3005,3090,921,3259,2868,2910,3113,3493,2147,2843,953,799,2794,621,596,426,638,705,537,519,95,654,461,570,658,546,685,416,533,480,639,491,493,553,457])).
% 31.65/31.56 cnf(3548,plain,
% 31.65/31.56 (~E(f5(f14(x35481,f4(x35482),x35483),x35484,x35482),x35484)),
% 31.65/31.56 inference(rename_variables,[],[739])).
% 31.65/31.56 cnf(3550,plain,
% 31.65/31.56 (~P14(f32(a8,a53))),
% 31.65/31.56 inference(scs_inference,[],[351,313,263,207,309,346,327,739,151,233,118,179,731,167,197,165,361,113,154,3404,3167,3272,3319,3369,3323,2833,2995,3303,3005,3090,921,3259,2868,2910,3113,3493,2147,2843,953,799,2794,1843,621,596,426,638,705,537,519,95,654,461,570,658,546,685,416,533,480,639,491,493,553,457,572,436])).
% 31.65/31.56 cnf(3552,plain,
% 31.65/31.56 (~P6(f2(f6(f9(x35521,x35522),x35523,f48(a45,a1))),f2(f33(f48(a45,a1))),f48(a45,a1))),
% 31.65/31.56 inference(scs_inference,[],[351,313,263,207,309,346,327,739,151,233,118,179,731,167,197,165,361,113,154,3404,3167,3087,3272,3319,3369,3323,2833,2995,3303,3005,3090,921,3259,2868,2910,3113,3493,2147,2843,953,799,2794,1843,621,596,426,638,705,537,519,95,654,461,570,658,546,685,416,533,480,639,491,493,553,457,572,436,469])).
% 31.65/31.56 cnf(3557,plain,
% 31.65/31.56 (P6(x35571,f6(x35572,x35571,f48(x35573,a1)),f48(x35573,a1))),
% 31.65/31.56 inference(rename_variables,[],[192])).
% 31.65/31.56 cnf(3558,plain,
% 31.65/31.56 (P6(x35581,f35(f48(x35582,a1)),f48(x35582,a1))),
% 31.65/31.56 inference(rename_variables,[],[160])).
% 31.65/31.56 cnf(3564,plain,
% 31.65/31.56 (~P14(f39(f25(x35641,f22(x35642,x35643)),f2(f6(f9(x35644,f4(a29)),f9(x35644,f4(a29)),f48(a45,a1))),a45))),
% 31.65/31.56 inference(rename_variables,[],[3422])).
% 31.65/31.56 cnf(3567,plain,
% 31.65/31.56 (P14(f39(x35671,f7(f5(x35672,f14(f12(x35673,x35674,f22(f32(a34,a16),x35671)),x35675,a29),a29)),a45))),
% 31.65/31.56 inference(rename_variables,[],[2199])).
% 31.65/31.56 cnf(3570,plain,
% 31.65/31.56 (P6(x35701,f2(x35701),f48(a45,a1))),
% 31.65/31.56 inference(rename_variables,[],[147])).
% 31.65/31.56 cnf(3575,plain,
% 31.65/31.56 (P14(f39(f25(f23(a55),f25(f21(a53),f25(f32(a24,a51),a56))),f2(f40(f32(a24,f32(a34,a52)),f6(x35751,f9(a16,a50),f48(a45,a1)),a45)),a45))),
% 31.65/31.56 inference(scs_inference,[],[351,313,263,207,309,346,327,739,151,233,192,3557,118,179,731,147,167,160,197,165,361,113,154,3404,3167,3514,3087,3272,3319,3369,3422,3323,2833,2995,3072,3303,3415,2199,3005,3090,921,3259,2868,2910,3039,3113,3493,2147,2843,953,799,2794,1843,939,621,596,426,638,705,537,519,95,654,461,570,658,546,685,416,533,480,639,491,493,553,457,572,436,469,530,485,508,664,536,481,556,500])).
% 31.65/31.56 cnf(3577,plain,
% 31.65/31.56 (P14(f39(f32(a24,f32(a18,f32(f36(x35771),x35772))),f3(f9(x35772,f4(a29))),a45))),
% 31.65/31.56 inference(scs_inference,[],[351,313,263,207,309,346,327,739,151,233,192,3557,118,179,731,147,167,160,197,165,361,113,154,3404,3167,3514,3087,3272,3319,3369,3422,3323,2833,2995,3072,3303,3415,2199,3005,3090,921,3259,2868,2910,3039,3113,3493,2147,2843,953,799,2794,1843,939,621,596,426,638,705,537,519,95,654,461,570,658,546,685,416,533,480,639,491,493,553,457,572,436,469,530,485,508,664,536,481,556,500,492])).
% 31.65/31.56 cnf(3580,plain,
% 31.65/31.56 (P9(f48(x35801,a1))),
% 31.65/31.56 inference(rename_variables,[],[947])).
% 31.65/31.56 cnf(3586,plain,
% 31.65/31.56 (~P14(f39(f25(x35861,f25(f23(x35862),x35863)),f2(f9(a16,f4(a29))),a45))),
% 31.65/31.56 inference(scs_inference,[],[351,313,263,207,309,346,327,739,151,233,192,3557,118,179,731,147,167,160,197,165,361,113,154,3404,3167,3514,3087,3272,3319,3369,3422,3323,2833,2995,3072,3303,3415,2199,3111,3005,3090,921,3259,2868,2910,3039,3113,3493,2147,2843,875,953,799,2794,1843,939,947,621,596,426,638,705,537,519,95,654,461,570,658,546,685,416,533,480,639,491,493,553,457,572,436,469,530,485,508,664,536,481,556,500,492,504,618,555,559])).
% 31.65/31.56 cnf(3591,plain,
% 31.65/31.56 (P6(f40(x35911,f2(x35912),a45),f2(f40(x35911,x35912,a45)),f48(a45,a1))),
% 31.65/31.56 inference(rename_variables,[],[233])).
% 31.65/31.56 cnf(3594,plain,
% 31.65/31.56 (P14(f39(x35941,f7(f5(x35942,f14(f12(x35943,x35944,x35941),x35945,a29),a29)),a45))),
% 31.65/31.56 inference(rename_variables,[],[756])).
% 31.65/31.56 cnf(3601,plain,
% 31.65/31.56 (~P14(f39(f25(f25(x36011,f22(x36012,x36013)),x36014),f2(f6(f9(x36015,f4(a29)),f9(x36015,f4(a29)),f48(a45,a1))),a45))),
% 31.65/31.56 inference(scs_inference,[],[351,313,263,207,756,309,372,346,327,739,151,233,192,3557,118,179,731,147,167,160,197,165,361,113,154,3241,3404,3167,3514,3087,3272,3319,3369,3422,3564,3323,2833,2995,3072,3303,3415,2199,3567,3111,3005,3090,921,3259,2868,3143,2910,3039,1938,3113,3493,2147,2843,875,953,799,2794,1843,939,947,621,596,426,638,705,537,519,95,654,461,570,658,546,685,416,533,480,639,491,493,553,457,572,436,469,530,485,508,664,536,481,556,500,492,504,618,555,559,32,552,645,535,470,532])).
% 31.65/31.56 cnf(3604,plain,
% 31.65/31.56 (P14(f39(x36041,f7(f5(x36042,f14(f12(x36043,x36044,x36041),x36045,a29),a29)),a45))),
% 31.65/31.56 inference(rename_variables,[],[756])).
% 31.65/31.56 cnf(3606,plain,
% 31.65/31.56 (E(f5(a37,f14(x36061,f4(x36062),x36063),x36062),a38)),
% 31.65/31.56 inference(scs_inference,[],[351,313,263,207,756,3594,309,368,372,346,327,739,151,233,192,3557,118,179,731,147,167,160,352,197,165,361,113,154,3241,3404,3167,3514,3087,3427,3272,3319,3369,3422,3564,3323,2833,2995,3072,3303,3415,2199,3567,3111,3005,3090,921,3259,2868,3143,2910,3039,1938,3113,3493,2147,2843,875,953,799,2794,1843,939,947,621,596,426,638,705,537,519,95,654,461,570,658,546,685,416,533,480,639,491,493,553,457,572,436,469,530,485,508,664,536,481,556,500,492,504,618,555,559,32,552,645,535,470,532,543,547])).
% 31.65/31.56 cnf(3613,plain,
% 31.65/31.56 (~P14(f39(f22(f32(a34,a16),f22(f32(a34,a16),f22(f32(a34,a16),f22(f32(a34,a16),f25(x36131,f32(a24,a51)))))),f3(f9(a16,a50)),a45))),
% 31.65/31.56 inference(scs_inference,[],[351,313,263,207,756,3594,309,368,372,346,327,739,151,233,192,3557,118,179,3515,731,147,167,160,352,197,165,361,113,154,3241,3404,3167,3514,3087,3427,3272,3319,3369,3422,3564,3323,2833,2995,3072,3250,3303,3415,2199,3567,3111,3005,3090,921,3259,2868,3143,2910,3039,1938,3113,3493,2147,2843,875,953,1441,799,2794,1843,939,947,621,596,426,638,705,537,519,95,654,461,570,658,546,685,416,533,480,639,491,493,553,457,572,436,469,530,485,508,664,536,481,556,500,492,504,618,555,559,32,552,645,535,470,532,543,547,538,629])).
% 31.65/31.56 cnf(3619,plain,
% 31.65/31.56 (~P14(f39(f32(a24,f32(a34,a53)),f2(f9(a16,f14(f12(a16,x36191,f21(x36192)),a50,a29))),a45))),
% 31.65/31.56 inference(scs_inference,[],[351,313,263,207,756,3594,309,368,372,346,327,739,151,233,192,3557,118,179,3515,731,147,167,160,352,197,165,361,113,154,3241,3404,3167,3514,3087,3427,3272,3319,3369,3422,3564,3323,2833,2995,3072,3250,3303,3415,2199,3567,3111,3005,3090,921,3259,2868,3143,2910,3039,1938,3113,3493,2147,2843,875,953,1441,799,2794,1843,939,947,621,596,426,638,705,537,519,95,654,461,570,658,546,685,416,533,480,639,491,493,553,457,572,436,469,530,485,508,664,536,481,556,500,492,504,618,555,559,32,552,645,535,470,532,543,547,538,629,524,464,617])).
% 31.65/31.56 cnf(3623,plain,
% 31.65/31.56 (P14(f39(f25(f21(a53),f25(f32(a24,a51),a56)),f2(f6(x36231,f9(a16,a50),f48(a45,a1))),a45))),
% 31.65/31.56 inference(scs_inference,[],[351,313,263,207,756,3594,309,368,372,346,327,739,151,233,192,3557,118,179,3515,731,147,167,160,352,197,165,361,113,154,3241,3404,3167,3514,3087,3427,3272,3319,3339,3369,3422,3564,3323,2833,2995,3072,3250,3303,3415,2199,3567,3111,3005,3090,921,3259,2868,3143,2910,3039,1938,3113,3493,2147,2843,875,953,1441,799,2794,1843,939,947,621,596,426,638,705,537,519,95,654,461,570,658,546,685,416,533,480,639,491,493,553,457,572,436,469,530,485,508,664,536,481,556,500,492,504,618,555,559,32,552,645,535,470,532,543,547,538,629,524,464,617,534,531])).
% 31.65/31.56 cnf(3626,plain,
% 31.65/31.56 (P9(f48(x36261,a1))),
% 31.65/31.56 inference(rename_variables,[],[947])).
% 31.65/31.56 cnf(3632,plain,
% 31.65/31.56 (P6(f40(x36321,f2(x36322),a45),f2(f40(x36321,x36322,a45)),f48(a45,a1))),
% 31.65/31.56 inference(rename_variables,[],[233])).
% 31.65/31.56 cnf(3634,plain,
% 31.65/31.56 (~P14(f6(f33(f48(x36341,a1)),f6(f33(f48(x36341,a1)),f39(f32(f36(x36342),x36343),f41(a34,x36344,a46,a47),a47),f48(x36341,a1)),f48(x36341,a1)))),
% 31.65/31.56 inference(scs_inference,[],[351,313,263,207,756,3594,297,309,368,372,203,346,327,139,739,151,233,3591,192,3557,118,179,3515,731,147,167,736,160,352,197,165,361,113,154,3241,3404,3167,3514,3087,3371,2914,3427,3272,3319,3339,3369,3422,3564,3323,2833,2995,3072,3250,3303,3415,2199,3567,3111,3005,3090,921,3259,2868,3143,2910,3039,1938,3113,3493,2147,2843,875,953,1441,799,2794,1843,939,947,3580,621,596,426,638,705,537,519,95,654,461,570,658,546,685,416,533,480,639,491,493,553,457,572,436,469,530,485,508,664,536,481,556,500,492,504,618,555,559,32,552,645,535,470,532,543,547,538,629,524,464,617,534,531,502,92,2,91,88])).
% 31.65/31.56 cnf(3637,plain,
% 31.65/31.56 (P6(f40(x36371,f2(x36372),a45),f2(f40(x36371,x36372,a45)),f48(a45,a1))),
% 31.65/31.56 inference(rename_variables,[],[233])).
% 31.65/31.56 cnf(3639,plain,
% 31.65/31.56 (P3(f40(f32(a24,x36391),f41(a24,x36392,a47,a45),a45),f2(f2(f41(a24,f40(x36391,x36392,a47),a47,a45))),x36393)),
% 31.65/31.56 inference(scs_inference,[],[351,313,263,207,3505,275,247,756,3594,297,309,368,372,203,346,327,139,739,151,233,3591,3632,192,3557,118,179,3515,731,147,167,736,160,352,197,165,361,113,154,3241,3404,3167,3514,3087,3371,2914,3427,3272,3319,3339,3369,3422,3564,3323,2833,2995,3072,3250,3303,3415,2199,3567,3111,3005,3090,921,3259,2868,3143,2910,3039,1938,3113,3493,2147,2843,875,953,1441,799,2794,1843,939,947,3580,621,596,426,638,705,537,519,95,654,461,570,658,546,685,416,533,480,639,491,493,553,457,572,436,469,530,485,508,664,536,481,556,500,492,504,618,555,559,32,552,645,535,470,532,543,547,538,629,524,464,617,534,531,502,92,2,91,88,90,20,97])).
% 31.65/31.56 cnf(3649,plain,
% 31.65/31.56 (P6(x36491,f26(f6(f26(f26(x36491)),x36492,f48(a45,a1))),f48(a45,a1))),
% 31.65/31.56 inference(scs_inference,[],[351,313,263,207,3505,215,275,247,756,3594,297,309,368,372,203,346,327,3490,139,739,3548,151,233,3591,3632,192,3557,118,179,3515,731,147,167,123,736,160,352,197,165,361,113,156,154,1136,3241,3404,3167,3514,3087,3371,2914,3427,3272,3319,3339,3369,3422,3564,3323,2833,2995,3072,3250,3303,3415,2199,3567,3111,3005,3090,921,3259,2868,3143,2910,3039,1938,3113,3493,2147,2843,2581,875,953,1441,799,2794,1843,939,947,3580,621,596,426,638,705,537,519,95,654,461,570,658,546,685,416,533,480,639,491,493,553,457,572,436,469,530,485,508,664,536,481,556,500,492,504,618,555,559,32,552,645,535,470,532,543,547,538,629,524,464,617,534,531,502,92,2,91,88,90,20,97,98,3,633,475,565,471])).
% 31.65/31.56 cnf(3652,plain,
% 31.65/31.56 (P14(f39(f32(a24,f32(x36521,x36522)),f3(f6(f41(a24,f41(x36521,f35(f48(x36523,a1)),x36523,a47),a47,a45),x36524,f48(a45,a1))),a45))),
% 31.65/31.56 inference(scs_inference,[],[351,313,263,207,3505,215,275,247,756,3594,297,309,368,372,203,346,327,3490,139,739,3548,151,233,3591,3632,192,3557,118,179,3515,731,147,167,123,736,160,352,197,165,361,280,113,156,154,1136,3241,3404,3167,3514,3087,3371,2914,3427,3272,3319,3339,3369,3422,3564,3323,2833,2995,3072,3250,3303,3415,2199,3567,3111,3005,3090,921,3259,2868,3143,2910,3039,1938,3113,3493,2147,2843,2581,875,953,1441,799,2794,1843,939,947,3580,621,596,426,638,705,537,519,95,654,461,570,658,546,685,416,533,480,639,491,493,553,457,572,436,469,530,485,508,664,536,481,556,500,492,504,618,555,559,32,552,645,535,470,532,543,547,538,629,524,464,617,534,531,502,92,2,91,88,90,20,97,98,3,633,475,565,471,692])).
% 31.65/31.56 cnf(3653,plain,
% 31.65/31.56 (P14(f39(f32(x36531,x36532),f41(x36531,f35(f48(x36533,a1)),x36533,x36534),x36534))),
% 31.65/31.56 inference(rename_variables,[],[280])).
% 31.65/31.56 cnf(3663,plain,
% 31.65/31.56 (~P14(f39(f22(f32(a34,a16),f32(a24,f32(a34,a52))),f3(f9(a16,f14(f12(a16,x36631,f19(f21(x36632))),f4(a29),a29))),a45))),
% 31.65/31.56 inference(scs_inference,[],[351,313,263,207,3505,215,275,247,756,3594,3604,297,309,368,372,203,346,327,3490,139,739,3548,151,233,3591,3632,192,3557,118,179,3515,731,147,167,123,736,160,352,197,165,361,280,169,113,156,154,1136,3241,3404,3167,3514,3087,3371,2914,3427,3272,3319,3339,3369,3422,3564,3323,2833,2995,3072,3250,3303,3415,2199,3567,3239,3111,3005,3090,921,3259,2868,3143,2910,3039,1938,3027,2446,3113,3493,2147,2843,2581,2881,875,953,1441,799,2794,1843,939,947,3580,621,596,426,638,705,537,519,95,654,461,570,658,546,685,416,533,480,639,491,493,553,457,572,436,469,530,485,508,664,536,481,556,500,492,504,618,555,559,32,552,645,535,470,532,543,547,538,629,524,464,617,534,531,502,92,2,91,88,90,20,97,98,3,633,475,565,471,692,598,674,680,616])).
% 31.65/31.56 cnf(3679,plain,
% 31.65/31.56 (~P14(f39(f22(f32(a34,a52),x36791),f26(f40(f21(x36792),f9(a16,f4(a29)),a45)),a45))),
% 31.65/31.56 inference(scs_inference,[],[351,313,263,753,207,3505,215,275,247,756,3594,3604,297,338,309,368,372,203,346,327,3490,139,739,3548,151,233,3591,3632,192,3557,118,179,3515,731,3506,147,167,123,736,160,352,197,165,361,280,169,113,156,154,1136,3241,3404,3167,3514,3087,3371,2914,3427,3272,3319,3339,3369,3422,3564,3323,2833,2995,3072,3250,3303,3415,2199,3567,3239,3111,3005,3090,921,3259,2868,3143,2589,2910,3039,1938,3027,2446,3113,3493,2147,2843,2581,2881,875,953,1441,799,2794,1843,939,947,3580,3626,621,596,426,638,705,537,519,95,654,461,570,658,546,685,416,533,480,639,491,493,553,457,572,436,469,530,485,508,664,536,481,556,500,492,504,618,555,559,32,552,645,535,470,532,543,547,538,629,524,464,617,534,531,502,92,2,91,88,90,20,97,98,3,633,475,565,471,692,598,674,680,616,435,4,497,465,593,592])).
% 31.65/31.56 cnf(3682,plain,
% 31.65/31.56 (~P14(f39(f22(f32(a34,a16),f25(x36821,f25(f32(a24,a51),x36822))),f3(f9(a16,a50)),a45))),
% 31.65/31.56 inference(scs_inference,[],[351,313,263,753,207,3505,215,275,247,756,3594,3604,297,338,309,368,372,203,346,327,3490,139,739,3548,151,233,3591,3632,192,3557,118,179,3515,731,3506,147,167,123,736,160,352,197,165,361,280,169,113,156,154,1136,3241,3404,3167,3514,3087,3371,2914,3427,3272,3319,3339,3369,3422,3564,3323,2833,2995,3072,3250,3303,3415,2199,3567,3239,3111,3005,3090,921,3259,2868,3143,3056,2589,2910,3039,1938,3027,2446,3113,3493,2147,2843,2581,2881,875,953,1441,799,2794,1843,939,947,3580,3626,621,596,426,638,705,537,519,95,654,461,570,658,546,685,416,533,480,639,491,493,553,457,572,436,469,530,485,508,664,536,481,556,500,492,504,618,555,559,32,552,645,535,470,532,543,547,538,629,524,464,617,534,531,502,92,2,91,88,90,20,97,98,3,633,475,565,471,692,598,674,680,616,435,4,497,465,593,592,628])).
% 31.65/31.56 cnf(3698,plain,
% 31.65/31.56 (~E(f19(f25(f22(x36981,x36982),x36983)),f19(f25(f23(x36984),x36983)))),
% 31.65/31.56 inference(scs_inference,[],[351,313,263,753,207,3505,215,275,247,756,3594,3604,297,338,309,368,372,203,346,327,3490,139,739,3548,151,233,3591,3632,3637,192,3557,118,179,3515,731,3506,147,3570,167,123,736,160,3558,352,197,165,361,280,3653,169,113,156,154,1136,3241,3404,3167,3514,3087,3371,2914,3427,3272,3319,3339,3369,3422,3564,3323,2833,2995,3072,3250,3303,3415,2199,3567,3239,3111,3005,3090,921,3259,2868,3143,3056,2589,2910,3039,1938,3027,2446,3113,3493,2147,1972,2843,2581,2881,875,953,1441,799,943,2794,1843,939,947,3580,3626,621,596,426,638,705,537,519,95,654,461,570,658,546,685,416,533,480,639,491,493,553,457,572,436,469,530,485,508,664,536,481,556,500,492,504,618,555,559,32,552,645,535,470,532,543,547,538,629,524,464,617,534,531,502,92,2,91,88,90,20,97,98,3,633,475,565,471,692,598,674,680,616,435,4,497,465,593,592,628,433,453,462,700,14])).
% 31.65/31.56 cnf(3724,plain,
% 31.65/31.56 (~P6(f26(f2(f9(a16,a50))),f26(f40(f21(x37241),f9(a16,f4(a29)),a45)),f48(a45,a1))),
% 31.65/31.56 inference(scs_inference,[],[3679,2110,2304,1056,155,633,554,471])).
% 31.65/31.56 cnf(3726,plain,
% 31.65/31.56 (~P6(f2(f9(a16,a50)),f40(f21(x37261),f9(a16,f4(a29)),a45),f48(a45,a1))),
% 31.65/31.56 inference(scs_inference,[],[3679,2110,2304,1056,155,633,554,471,463])).
% 31.65/31.56 cnf(3734,plain,
% 31.65/31.56 (P14(f39(f32(a24,f32(a34,a16)),f3(f9(a16,f14(f12(x37341,x37342,x37343),f14(f10(x37344,x37345),f4(a29),a29),a29))),a45))),
% 31.65/31.56 inference(scs_inference,[],[154,3679,2110,3237,2304,3652,3415,3125,1056,155,633,554,471,463,596,638,680])).
% 31.65/31.56 cnf(3737,plain,
% 31.65/31.56 (P14(f39(f32(x37371,x37372),f41(x37371,f35(f48(x37373,a1)),x37373,x37374),x37374))),
% 31.65/31.56 inference(rename_variables,[],[280])).
% 31.65/31.56 cnf(3739,plain,
% 31.65/31.56 (P14(f39(f14(f12(a16,x37391,f21(x37392)),f14(f12(x37393,a17,f25(f21(x37393),f25(f21(x37394),f23(x37395)))),f4(a29),a29),a29),a31,f44(a29)))),
% 31.65/31.56 inference(scs_inference,[],[165,280,154,3679,2110,3237,2304,3652,3415,3125,1056,1446,155,633,554,471,463,596,638,680,708,659])).
% 31.65/31.56 cnf(3740,plain,
% 31.65/31.56 (P14(f39(f21(x37401),f26(x37402),a45))),
% 31.65/31.56 inference(rename_variables,[],[165])).
% 31.65/31.56 cnf(3748,plain,
% 31.65/31.56 (~P14(f39(f25(f32(a24,f32(a34,a53)),f23(x37481)),f26(f26(f9(a16,f4(a29)))),a45))),
% 31.65/31.56 inference(scs_inference,[],[759,157,165,280,154,2945,2587,3679,2110,3237,2304,3652,3415,3125,1056,1446,947,155,633,554,471,463,596,638,680,708,659,497,519,4,583])).
% 31.65/31.56 cnf(3752,plain,
% 31.65/31.56 (P14(f39(f22(f32(a34,x37521),f21(x37522)),f26(f7(x37523)),a45))),
% 31.65/31.56 inference(scs_inference,[],[759,157,201,165,3740,280,154,2945,2587,3586,3679,2110,3237,2304,3652,3415,3125,1056,1446,947,155,633,554,471,463,596,638,680,708,659,497,519,4,583,612,592])).
% 31.65/31.56 cnf(3758,plain,
% 31.65/31.56 (P14(f39(f32(a24,f32(a34,x37581)),f7(x37582),a45))),
% 31.65/31.56 inference(rename_variables,[],[201])).
% 31.65/31.56 cnf(3760,plain,
% 31.65/31.56 (~P14(f39(f22(x37601,x37602),f2(f6(f33(f48(a45,a1)),f9(x37603,f4(a29)),f48(a45,a1))),a45))),
% 31.65/31.56 inference(scs_inference,[],[759,157,201,363,165,3740,364,280,154,2945,2587,3586,3679,2110,3237,3619,2304,3652,3415,3125,1056,1446,947,155,633,554,471,463,596,638,680,708,659,497,519,4,583,612,592,687,570,654])).
% 31.65/31.56 cnf(3763,plain,
% 31.65/31.56 (~P14(f39(f32(a24,a51),f26(f3(f40(f25(f21(x37631),f21(x37631)),f9(a16,a50),a45))),a45))),
% 31.65/31.56 inference(scs_inference,[],[759,157,201,179,363,165,3740,364,280,154,2945,2587,3586,3679,3492,2110,3237,3619,2304,3652,3415,3125,3113,1056,1446,947,155,633,554,471,463,596,638,680,708,659,497,519,4,583,612,592,687,570,654,658])).
% 31.65/31.56 cnf(3778,plain,
% 31.65/31.56 (P14(f39(f25(f32(a24,a51),a56),f3(f6(f3(f41(a24,f40(f32(a34,a52),x37781,a47),a47,a45)),f9(a16,a50),f48(a45,a1))),a45))),
% 31.65/31.56 inference(scs_inference,[],[759,157,201,322,365,179,363,165,3740,364,280,154,349,3698,2945,2587,3529,3586,3679,3492,2110,3237,3619,2304,3355,3652,3415,3125,3113,1738,1056,1446,947,155,633,554,471,463,596,638,680,708,659,497,519,4,583,612,592,687,570,654,658,557,671,682,24,685,533])).
% 31.65/31.56 cnf(3784,plain,
% 31.65/31.56 (P6(f6(f3(x37841),f3(x37842),f48(a45,a1)),f6(f3(f6(x37841,x37842,f48(a45,a1))),x37843,f48(a45,a1)),f48(a45,a1))),
% 31.65/31.56 inference(scs_inference,[],[759,314,157,201,322,365,259,193,179,363,165,3740,364,280,154,349,3698,2945,2587,3529,3586,3679,3492,2110,3237,3619,2304,3355,3652,3415,3125,3113,1738,1056,1446,943,947,155,633,554,471,463,596,638,680,708,659,497,519,4,583,612,592,687,570,654,658,557,671,682,24,685,533,416,462,480])).
% 31.65/31.56 cnf(3785,plain,
% 31.65/31.56 (P6(x37851,f6(x37851,x37852,f48(x37853,a1)),f48(x37853,a1))),
% 31.65/31.56 inference(rename_variables,[],[193])).
% 31.65/31.56 cnf(3790,plain,
% 31.65/31.56 (~P14(f39(f32(a24,a51),f3(f40(f25(f21(x37901),f21(x37901)),f3(f40(f25(f21(x37901),f21(x37901)),f9(a16,a50),a45)),a45)),a45))),
% 31.65/31.56 inference(scs_inference,[],[759,314,157,201,3758,322,365,259,193,234,179,363,165,3740,364,280,154,349,3698,2945,2587,3529,3586,3679,3492,2110,3237,3619,2304,3355,3652,3415,3125,3113,1738,1056,1446,943,947,155,633,554,471,463,596,638,680,708,659,497,519,4,583,612,592,687,570,654,658,557,671,682,24,685,533,416,462,480,493,553])).
% 31.65/31.56 cnf(3791,plain,
% 31.65/31.56 (P6(f40(x37911,f3(x37912),a45),f3(f40(x37911,x37912,a45)),f48(a45,a1))),
% 31.65/31.56 inference(rename_variables,[],[234])).
% 31.65/31.56 cnf(3796,plain,
% 31.65/31.56 (~P14(f32(f3(f9(a16,a50)),f32(a24,a51)))),
% 31.65/31.56 inference(scs_inference,[],[360,759,314,157,201,3758,322,365,259,193,234,179,363,165,3740,364,280,154,349,3698,3543,2945,2587,3529,3586,3679,3492,2110,3237,3619,2304,3355,3652,3415,3125,3113,1738,1056,1446,943,947,155,633,554,471,463,596,638,680,708,659,497,519,4,583,612,592,687,570,654,658,557,671,682,24,685,533,416,462,480,493,553,457,436])).
% 31.65/31.56 cnf(3801,plain,
% 31.65/31.56 (~P14(f39(f25(f25(x38011,f22(x38012,x38013)),x38014),f6(f9(x38015,f4(a29)),f9(x38015,f4(a29)),f48(a45,a1)),a45))),
% 31.65/31.56 inference(scs_inference,[],[360,759,314,157,201,3758,322,365,259,193,234,179,363,165,3740,364,280,3737,154,349,3698,3543,2945,2587,3601,3529,3586,3679,3492,2110,3237,3619,2304,3355,3652,3415,3125,3113,1738,1056,1446,1639,943,947,155,633,554,471,463,596,638,680,708,659,497,519,4,583,612,592,687,570,654,658,557,671,682,24,685,533,416,462,480,493,553,457,436,700,491])).
% 31.65/31.56 cnf(3807,plain,
% 31.65/31.56 (P14(f39(f21(a53),f2(f6(x38071,f6(f6(f9(a16,a50),f9(a16,a50),f48(a45,a1)),f6(x38072,f9(a16,a50),f48(a45,a1)),f48(a45,a1)),f48(a45,a1))),a45))),
% 31.65/31.56 inference(scs_inference,[],[360,759,314,157,201,3758,322,365,742,259,193,234,179,363,165,3740,364,280,3737,154,349,3698,3543,2945,2587,3357,3601,3529,3586,3391,3679,3492,2110,3237,3619,2304,3355,3652,3415,3125,797,3113,1738,1056,1446,1639,943,947,155,633,554,471,463,596,638,680,708,659,497,519,4,583,612,592,687,570,654,658,557,671,682,24,685,533,416,462,480,493,553,457,436,700,491,572,664])).
% 31.65/31.56 cnf(3808,plain,
% 31.65/31.56 (P14(f39(x38081,f2(f40(f25(x38082,f25(x38081,x38083)),x38084,a45)),a45))),
% 31.65/31.56 inference(rename_variables,[],[3391])).
% 31.65/31.56 cnf(3810,plain,
% 31.65/31.56 (P6(x38101,f2(f2(f2(f2(f2(f2(x38101)))))),f48(a45,a1))),
% 31.65/31.56 inference(scs_inference,[],[360,759,314,157,201,3758,322,365,742,259,193,234,179,363,165,3740,364,280,3737,154,349,3360,3698,3543,2945,2587,3357,3601,3529,3586,3391,3679,3492,2110,3237,3619,2304,3355,3652,3415,3125,797,3113,1738,1056,1446,1639,943,947,155,633,554,471,463,596,638,680,708,659,497,519,4,583,612,592,687,570,654,658,557,671,682,24,685,533,416,462,480,493,553,457,436,700,491,572,664,469])).
% 31.65/31.56 cnf(3813,plain,
% 31.65/31.56 (~P14(f39(f25(x38131,f32(a24,f32(a34,a52))),f3(f9(a16,f4(a29))),a45))),
% 31.65/31.56 inference(scs_inference,[],[360,759,314,157,201,3758,322,365,742,259,193,234,179,363,165,3740,364,280,3737,154,349,3360,3698,3543,2945,2587,3064,3357,3601,3529,3586,3391,3679,3492,2110,3237,3619,2304,3355,3652,3415,3125,797,3113,1738,1056,1446,1639,943,947,155,633,554,471,463,596,638,680,708,659,497,519,4,583,612,592,687,570,654,658,557,671,682,24,685,533,416,462,480,493,553,457,436,700,491,572,664,469,492])).
% 31.65/31.56 cnf(3818,plain,
% 31.65/31.56 (~P14(f39(f25(f25(x38181,f22(x38182,x38183)),x38184),f3(f6(f9(x38185,f4(a29)),f9(x38185,f4(a29)),f48(a45,a1))),a45))),
% 31.65/31.56 inference(scs_inference,[],[360,759,314,157,201,3758,322,365,742,259,193,234,179,363,165,3740,364,280,3737,154,349,3360,3698,3543,2945,2587,3064,3357,3601,3529,3586,3391,3679,3492,2110,3237,3619,2304,3355,3652,3415,1548,3125,797,3113,1738,1056,1446,1639,943,947,155,633,554,471,463,596,638,680,708,659,497,519,4,583,612,592,687,570,654,658,557,671,682,24,685,533,416,462,480,493,553,457,436,700,491,572,664,469,492,618,500])).
% 31.65/31.56 cnf(3823,plain,
% 31.65/31.56 (P14(f39(x38231,f2(f40(f25(x38232,f25(f22(x38233,x38231),x38234)),x38235,a45)),a45))),
% 31.65/31.56 inference(scs_inference,[],[360,759,314,157,201,3758,322,365,742,259,193,234,179,363,165,3740,364,280,3737,154,349,2876,3360,3698,3543,2945,2587,3064,3357,3601,3529,3586,3391,3808,3679,3492,2110,3237,3619,2304,3355,3652,3415,1548,3125,797,3113,1738,1056,1446,1639,943,947,155,633,554,471,463,596,638,680,708,659,497,519,4,583,612,592,687,570,654,658,557,671,682,24,685,533,416,462,480,493,553,457,436,700,491,572,664,469,492,618,500,14,555,530])).
% 31.65/31.56 cnf(3827,plain,
% 31.65/31.56 (P6(f3(x38271),f2(x38271),f48(a45,a1))),
% 31.65/31.56 inference(rename_variables,[],[150])).
% 31.65/31.56 cnf(3829,plain,
% 31.65/31.56 (~P6(f2(f9(a16,a50)),f2(f40(f32(a24,f32(a34,x38291)),f33(f48(a45,a1)),a45)),f48(a45,a1))),
% 31.65/31.56 inference(scs_inference,[],[360,759,314,157,201,3758,322,365,742,259,193,150,234,179,363,165,3740,364,280,3737,154,349,2876,3360,3698,3543,2945,2587,3064,3357,3601,3529,3586,3391,3808,3679,3492,2110,3237,3619,2304,3355,3652,1997,3415,1548,3125,797,3113,1738,1056,1446,1639,943,947,155,633,554,471,463,596,638,680,708,659,497,519,4,583,612,592,687,570,654,658,557,671,682,24,685,533,416,462,480,493,553,457,436,700,491,572,664,469,492,618,500,14,555,530,552,508])).
% 31.65/31.56 cnf(3830,plain,
% 31.65/31.56 (P6(f2(f40(f32(a24,f32(a34,x38301)),f33(f48(a45,a1)),a45)),f7(x38302),f48(a45,a1))),
% 31.65/31.56 inference(rename_variables,[],[759])).
% 31.65/31.56 cnf(3833,plain,
% 31.65/31.56 (P6(x38331,f6(x38331,x38332,f48(x38333,a1)),f48(x38333,a1))),
% 31.65/31.56 inference(rename_variables,[],[193])).
% 31.65/31.56 cnf(3837,plain,
% 31.65/31.56 (P14(f39(x38371,f7(f5(x38372,f14(f12(x38373,x38374,f25(x38371,x38375)),x38376,a29),a29)),a45))),
% 31.65/31.56 inference(rename_variables,[],[1762])).
% 31.65/31.56 cnf(3842,plain,
% 31.65/31.56 (P6(f6(f6(f3(x38421),f3(x38422),f48(a45,a1)),f6(f3(x38421),f3(x38422),f48(a45,a1)),f48(a45,a1)),f3(f6(f6(x38421,x38422,f48(a45,a1)),f6(x38421,x38422,f48(a45,a1)),f48(a45,a1))),f48(a45,a1))),
% 31.65/31.56 inference(scs_inference,[],[360,759,314,157,201,3758,322,365,742,259,193,3785,150,234,179,363,165,3740,364,280,3737,154,349,3270,2876,3360,3698,3543,2945,2587,3064,3357,3601,3529,3586,3391,3808,3679,3492,1762,3837,2110,3237,3619,2304,3355,3652,3247,1997,3415,1548,3125,797,3113,1738,1056,1446,1639,943,947,155,633,554,471,463,596,638,680,708,659,497,519,4,583,612,592,687,570,654,658,557,671,682,24,685,533,416,462,480,493,553,457,436,700,491,572,664,469,492,618,500,14,555,530,552,508,485,536,535,470])).
% 31.65/31.56 cnf(3857,plain,
% 31.65/31.56 (~P14(f32(f40(f19(x38571),f33(f48(x38572,a1)),x38573),f25(x38574,x38575)))),
% 31.65/31.56 inference(scs_inference,[],[360,759,3830,314,157,201,3758,322,365,742,259,193,3785,150,3827,234,179,352,363,165,3740,364,280,3737,114,154,349,3270,2876,3360,3698,3543,2945,2587,3064,3357,3601,3529,3586,3391,3808,3679,3492,1762,3837,2110,3237,3619,2304,3355,3652,1758,3165,3247,1997,3415,1548,3125,797,3113,1738,1056,1446,1639,943,939,947,155,633,554,471,463,596,638,680,708,659,497,519,4,583,612,592,687,570,654,658,557,671,682,24,685,533,416,462,480,493,553,457,436,700,491,572,664,469,492,618,500,14,555,530,552,508,485,536,535,470,532,481,556,504,559,32,547])).
% 31.65/31.56 cnf(3860,plain,
% 31.65/31.56 (P14(f39(f32(x38601,f32(a24,f32(a34,x38602))),f6(f41(x38601,f7(x38603),a45,x38604),x38605,f48(x38604,a1)),x38604))),
% 31.65/31.56 inference(scs_inference,[],[360,759,3830,314,157,201,3758,322,365,742,259,193,3785,3833,150,3827,234,179,352,363,165,3740,364,280,3737,114,154,349,3270,2876,3360,3698,3543,2945,2587,3064,3357,3601,3529,3586,3391,3808,3679,3492,1762,3837,2110,3237,3619,2304,3355,3652,1758,3165,3247,1997,3415,1548,3125,797,3113,1738,1056,1446,1639,943,939,947,155,633,554,471,463,596,638,680,708,659,497,519,4,583,612,592,687,570,654,658,557,671,682,24,685,533,416,462,480,493,553,457,436,700,491,572,664,469,492,618,500,14,555,530,552,508,485,536,535,470,532,481,556,504,559,32,547,645])).
% 31.65/31.56 cnf(3863,plain,
% 31.65/31.56 (~P14(f39(f22(f32(a34,a16),f22(f32(a34,a16),f32(a24,f32(a34,a52)))),f3(f9(a16,f14(f12(a16,x38631,f19(f21(x38632))),f4(a29),a29))),a45))),
% 31.65/31.56 inference(scs_inference,[],[360,759,3830,314,157,201,3758,322,365,742,259,193,3785,3833,150,3827,234,179,352,363,165,3740,364,280,3737,114,154,349,3270,2876,3360,3698,3543,2945,2587,3064,3357,3601,3529,3586,3391,3808,3679,3492,1762,3837,2110,3237,3663,3619,2304,3355,3652,1758,3165,3247,1997,3415,1548,3239,3125,797,3113,1738,1056,1446,1639,943,939,947,155,633,554,471,463,596,638,680,708,659,497,519,4,583,612,592,687,570,654,658,557,671,682,24,685,533,416,462,480,493,553,457,436,700,491,572,664,469,492,618,500,14,555,530,552,508,485,536,535,470,532,481,556,504,559,32,547,645,629])).
% 31.65/31.56 cnf(3866,plain,
% 31.65/31.56 (~P6(f40(f32(a24,a51),x38661,a45),f3(f9(a16,a50)),f48(a45,a1))),
% 31.65/31.56 inference(scs_inference,[],[360,759,3830,314,157,201,3758,322,365,742,259,193,3785,3833,150,3827,234,179,352,363,165,3740,364,280,3737,114,154,349,3270,2876,3360,3698,3543,2945,2587,3064,3357,3601,3529,3586,3391,3808,3679,3492,1762,3837,2110,3237,3663,3619,2304,3355,3652,1758,3165,3247,1997,3415,1548,3239,3125,797,3113,1738,1056,1446,1639,943,939,947,155,633,554,471,463,596,638,680,708,659,497,519,4,583,612,592,687,570,654,658,557,671,682,24,685,533,416,462,480,493,553,457,436,700,491,572,664,469,492,618,500,14,555,530,552,508,485,536,535,470,532,481,556,504,559,32,547,645,629,538])).
% 31.65/31.56 cnf(3880,plain,
% 31.65/31.56 (P14(f39(f25(f21(a53),f25(f32(a24,a51),a56)),f2(f6(f6(f9(a16,a50),f9(a16,a50),f48(a45,a1)),f6(x38801,f9(a16,a50),f48(a45,a1)),f48(a45,a1))),a45))),
% 31.65/31.56 inference(scs_inference,[],[360,759,3830,314,157,201,3758,206,322,365,742,356,259,193,3785,3833,150,3827,234,3791,179,352,363,165,3740,364,280,3737,114,154,349,3270,2876,3360,3698,3543,2945,2587,3064,3357,3601,3529,3586,3391,3808,3679,3492,1762,3837,2110,3237,3663,3619,2304,3355,3652,1758,3165,3247,1997,3415,1548,2434,3239,3125,797,3113,1738,1056,1446,1639,943,939,947,155,633,554,471,463,596,638,680,708,659,497,519,4,583,612,592,687,570,654,658,557,671,682,24,685,533,416,462,480,493,553,457,436,700,491,572,664,469,492,618,500,14,555,530,552,508,485,536,535,470,532,481,556,504,559,32,547,645,629,538,617,543,464,534,524,531])).
% 31.65/31.56 cnf(3884,plain,
% 31.65/31.56 (~P6(f35(f48(a45,a1)),f2(f9(x38841,f4(a29))),f6(f48(a45,a1),f6(f33(f48(x38842,a1)),f33(f48(x38842,a1)),f48(x38842,a1)),f48(x38842,a1)))),
% 31.65/31.56 inference(scs_inference,[],[360,759,3830,314,157,201,3758,206,322,365,170,742,356,259,193,3785,3833,150,3827,234,3791,179,352,363,165,3740,364,280,3737,114,154,349,3270,2876,3360,3698,3543,3148,2945,2587,3064,3357,3601,3529,3586,3391,3808,3679,3492,1762,3837,2110,3237,3663,3619,2304,3355,3652,1758,3165,3247,1997,3415,1548,2434,3239,3125,797,3113,1738,1056,1446,1639,943,939,947,155,633,554,471,463,596,638,680,708,659,497,519,4,583,612,592,687,570,654,658,557,671,682,24,685,533,416,462,480,493,553,457,436,700,491,572,664,469,492,618,500,14,555,530,552,508,485,536,535,470,532,481,556,504,559,32,547,645,629,538,617,543,464,534,524,531,502,92])).
% 31.65/31.56 cnf(3887,plain,
% 31.65/31.56 (~P6(f14(x38871,f33(f48(a45,a1)),x38872),f2(f33(f48(a45,a1))),f48(a45,a1))),
% 31.65/31.56 inference(scs_inference,[],[360,759,3830,314,157,201,3758,206,142,322,365,170,742,356,259,193,3785,3833,150,3827,234,3791,179,736,352,363,165,3740,364,280,3737,114,154,349,3270,2876,3360,3698,3543,3148,2945,2587,3064,3357,3601,3529,3586,3391,3808,3679,3492,1762,3837,2110,3237,3663,3619,2304,3355,3652,1758,3165,3247,1997,3415,1548,2434,3239,3125,797,3113,1738,1056,1446,1639,943,939,947,155,633,554,471,463,596,638,680,708,659,497,519,4,583,612,592,687,570,654,658,557,671,682,24,685,533,416,462,480,493,553,457,436,700,491,572,664,469,492,618,500,14,555,530,552,508,485,536,535,470,532,481,556,504,559,32,547,645,629,538,617,543,464,534,524,531,502,92,2,91])).
% 31.65/31.56 cnf(3999,plain,
% 31.65/31.56 (P8(f48(x39991,f48(x39992,a47)))),
% 31.65/31.56 inference(scs_inference,[],[260,2516,468,381])).
% 31.65/31.56 cnf(4002,plain,
% 31.65/31.56 (~E(f5(f14(x40021,f4(x40022),x40023),x40024,x40022),x40024)),
% 31.65/31.56 inference(rename_variables,[],[739])).
% 31.65/31.56 cnf(4017,plain,
% 31.65/31.56 (P9(f48(x40171,f48(x40172,a47)))),
% 31.65/31.56 inference(scs_inference,[],[739,221,260,3763,2516,3027,351,468,381,486,545,584,489,562,560,512,382])).
% 31.65/31.56 cnf(4035,plain,
% 31.65/31.56 (P4(f15(f14(f25(f25(x40351,x40352),x40353),x40354,x40355),x40355),x40352)),
% 31.65/31.56 inference(scs_inference,[],[315,739,221,260,2975,3748,3763,2516,3027,351,468,381,486,545,584,489,562,560,512,382,392,390,378,431,515,427,396,523,414])).
% 31.65/31.56 cnf(4042,plain,
% 31.65/31.56 (~E(f5(f14(x40421,f4(x40422),x40423),x40424,x40422),x40424)),
% 31.65/31.56 inference(rename_variables,[],[739])).
% 31.65/31.56 cnf(4044,plain,
% 31.65/31.56 (~E(f15(f5(f14(x40441,f4(x40442),x40443),f4(x40444),x40442),x40444),f33(f48(x40444,a1)))),
% 31.65/31.56 inference(scs_inference,[],[315,224,739,4002,4042,221,260,2975,3748,3763,2516,3027,351,468,381,486,545,584,489,562,560,512,382,392,390,378,431,515,427,396,523,414,403,595,424,408])).
% 31.65/31.56 cnf(4045,plain,
% 31.65/31.56 (~E(f5(f14(x40451,f4(x40452),x40453),x40454,x40452),x40454)),
% 31.65/31.56 inference(rename_variables,[],[739])).
% 31.65/31.56 cnf(4047,plain,
% 31.65/31.56 (~P14(f39(f22(x40471,f22(f32(a34,a52),x40472)),f26(f40(f21(x40473),f26(f9(a16,f4(a29))),a45)),a45))),
% 31.65/31.56 inference(scs_inference,[],[315,224,739,4002,4042,221,235,260,2975,3748,3763,3533,2516,3027,351,468,381,486,545,584,489,562,560,512,382,392,390,378,431,515,427,396,523,414,403,595,424,408,554])).
% 31.65/31.56 cnf(4048,plain,
% 31.65/31.56 (P6(f40(x40481,f26(x40482),a45),f26(f40(x40481,x40482,a45)),f48(a45,a1))),
% 31.65/31.56 inference(rename_variables,[],[235])).
% 31.65/31.56 cnf(4052,plain,
% 31.65/31.56 (P6(x40521,f26(f6(f26(f26(f26(x40521))),x40522,f48(a45,a1))),f48(a45,a1))),
% 31.65/31.56 inference(scs_inference,[],[315,224,739,4002,4042,221,235,260,2975,3649,3748,3763,3533,2516,3027,351,468,381,486,545,584,489,562,560,512,382,392,390,378,431,515,427,396,523,414,403,595,424,408,554,463,471])).
% 31.65/31.56 cnf(4055,plain,
% 31.65/31.56 (~P14(f39(f25(f32(a24,a51),x40551),f26(f3(f40(f25(f21(x40552),f21(x40552)),f9(a16,a50),a45))),a45))),
% 31.65/31.56 inference(scs_inference,[],[315,224,739,4002,4042,221,235,260,2975,3649,3748,3763,3533,2516,3027,351,468,381,486,545,584,489,562,560,512,382,392,390,378,431,515,427,396,523,414,403,595,424,408,554,463,471,561])).
% 31.65/31.56 cnf(4057,plain,
% 31.65/31.56 (~P14(f39(f25(f25(x40571,f22(x40572,x40573)),x40574),f9(x40575,f4(a29)),a45))),
% 31.65/31.56 inference(scs_inference,[],[315,224,739,4002,4042,221,235,260,2975,3649,3748,3801,3763,3533,2516,3027,351,468,381,486,545,584,489,562,560,512,382,392,390,378,431,515,427,396,523,414,403,595,424,408,554,463,471,561,591])).
% 31.65/31.56 cnf(4059,plain,
% 31.65/31.56 (P14(f39(f25(f32(a24,a51),a56),f3(f6(x40591,f6(f3(f41(a24,f40(f32(a34,a52),x40592,a47),a47,a45)),f9(a16,a50),f48(a45,a1)),f48(a45,a1))),a45))),
% 31.65/31.56 inference(scs_inference,[],[315,224,739,4002,4042,221,235,260,2975,3649,3748,3778,3801,3763,3533,2516,3027,351,468,381,486,545,584,489,562,560,512,382,392,390,378,431,515,427,396,523,414,403,595,424,408,554,463,471,561,591,627])).
% 31.65/31.56 cnf(4062,plain,
% 31.65/31.56 (P14(f39(f32(x40621,x40622),f41(x40621,f35(f48(x40623,a1)),x40623,x40624),x40624))),
% 31.65/31.56 inference(rename_variables,[],[280])).
% 31.65/31.56 cnf(4078,plain,
% 31.65/31.56 (P14(f39(f22(f32(a34,x40781),f21(x40782)),f26(f7(x40783)),a45))),
% 31.65/31.56 inference(rename_variables,[],[3752])).
% 31.65/31.56 cnf(4087,plain,
% 31.65/31.56 (~P14(f39(f23(x40871),f2(f6(f3(f9(x40872,f4(a29))),f3(f9(x40872,f4(a29))),f48(a45,a1))),a45))),
% 31.65/31.56 inference(scs_inference,[],[360,315,224,206,739,4002,4042,221,151,235,258,260,280,241,2975,3649,3726,3748,3813,3778,3801,3076,3763,3538,3752,3533,2516,2879,3027,351,155,468,381,486,545,584,489,562,560,512,382,392,390,378,431,515,427,396,523,414,403,595,424,408,554,463,471,561,591,627,710,466,590,638,625,571,497,592,605,461,570,654])).
% 31.65/31.56 cnf(4091,plain,
% 31.65/31.56 (P6(f33(f48(x40911,a1)),x40912,f48(x40911,a1))),
% 31.65/31.56 inference(rename_variables,[],[161])).
% 31.65/31.56 cnf(4096,plain,
% 31.65/31.56 (~P14(f39(f25(x40961,f25(f32(a24,f32(a34,a52)),x40962)),f3(f3(f3(f9(a16,f4(a29))))),a45))),
% 31.65/31.56 inference(scs_inference,[],[360,315,224,319,206,739,4002,4042,221,151,235,258,260,161,280,241,349,2975,3649,3726,3748,3434,3813,3778,3801,3076,3763,3538,3752,3533,3739,2516,2879,3113,3027,351,155,468,381,486,545,584,489,562,560,512,382,392,390,378,431,515,427,396,523,414,403,595,424,408,554,463,471,561,591,627,710,466,590,638,625,571,497,592,605,461,570,654,658,685,533])).
% 31.65/31.56 cnf(4101,plain,
% 31.65/31.56 (~P14(f39(f25(f25(x41011,f22(x41012,x41013)),x41014),f3(f6(f3(f9(x41015,f4(a29))),f3(f9(x41015,f4(a29))),f48(a45,a1))),a45))),
% 31.65/31.56 inference(scs_inference,[],[360,315,158,224,319,206,739,4002,4042,221,151,235,258,259,260,161,280,241,349,2975,3649,3726,3748,3434,3813,3818,3778,3801,3076,3763,3538,3752,3533,3739,2516,2879,3113,3027,351,155,468,381,486,545,584,489,562,560,512,382,392,390,378,431,515,427,396,523,414,403,595,424,408,554,463,471,561,591,627,710,466,590,638,625,571,497,592,605,461,570,654,658,685,533,24,493,553])).
% 31.65/31.56 cnf(4111,plain,
% 31.65/31.56 (~P6(f26(f2(f9(a16,a50))),f40(f21(x41111),f26(f9(a16,f4(a29))),a45),f48(a45,a1))),
% 31.65/31.56 inference(scs_inference,[],[360,315,158,224,319,206,739,4002,4042,221,151,235,4048,258,259,260,161,168,280,241,349,2975,3649,3857,3243,3724,3726,3748,3434,3813,3818,3778,3801,3076,3763,3538,3752,3533,3739,3639,2516,2879,3113,3027,943,351,155,468,381,486,545,584,489,562,560,512,382,392,390,378,431,515,427,396,523,414,403,595,424,408,554,463,471,561,591,627,710,466,590,638,625,571,497,592,605,461,570,654,658,685,533,24,493,553,457,436,416,480])).
% 31.65/31.56 cnf(4127,plain,
% 31.65/31.56 (P14(f39(x41271,f15(f5(x41272,f14(x41271,x41273,x41274),x41274),x41274),x41274))),
% 31.65/31.56 inference(rename_variables,[],[281])).
% 31.65/31.56 cnf(4133,plain,
% 31.65/31.56 (P14(f39(f25(f23(a55),f25(f21(a53),f25(f32(a24,a51),a56))),f2(f6(f6(x41331,f9(a16,a50),f48(a45,a1)),f40(f25(x41332,f25(f22(x41333,f32(a24,f32(a34,a52))),x41334)),x41335,a45),f48(a45,a1))),a45))),
% 31.65/31.56 inference(scs_inference,[],[360,315,158,224,319,206,739,4002,4042,221,151,235,4048,258,259,260,161,329,168,281,160,280,241,349,2975,3649,3857,3243,2236,3887,3724,3726,3748,3434,3813,3818,3778,3801,3076,3097,3763,3538,3752,3823,3533,3575,3739,3639,2516,2296,2879,3113,3027,943,351,155,468,381,486,545,584,489,562,560,512,382,392,390,378,431,515,427,396,523,414,403,595,424,408,554,463,471,561,591,627,710,466,590,638,625,571,497,592,605,461,570,654,658,685,533,24,493,553,457,436,416,480,491,469,492,530,555,572,485,664])).
% 31.65/31.56 cnf(4134,plain,
% 31.65/31.56 (P14(f39(x41341,f2(f40(f25(x41342,f25(f22(x41343,x41341),x41344)),x41345,a45)),a45))),
% 31.65/31.56 inference(rename_variables,[],[3823])).
% 31.65/31.56 cnf(4136,plain,
% 31.65/31.56 (~P14(f39(f25(f25(x41361,f25(f25(f23(x41362),x41363),x41364)),x41365),f7(f4(a29)),a45))),
% 31.65/31.56 inference(scs_inference,[],[360,315,158,224,319,206,739,4002,4042,221,151,235,4048,258,259,260,161,329,168,281,160,280,241,349,2975,3649,3857,3243,2236,3887,3724,3726,3748,3434,3813,3818,3778,3801,3076,3097,3763,3538,3752,3823,3533,3575,3385,3739,3639,2516,2296,2879,3113,3027,943,351,155,468,381,486,545,584,489,562,560,512,382,392,390,378,431,515,427,396,523,414,403,595,424,408,554,463,471,561,591,627,710,466,590,638,625,571,497,592,605,461,570,654,658,685,533,24,493,553,457,436,416,480,491,469,492,530,555,572,485,664,536])).
% 31.65/31.56 cnf(4144,plain,
% 31.65/31.56 (~P6(f40(f25(x41441,f25(f22(x41442,f23(x41443)),x41444)),x41445,a45),f2(f9(x41446,f4(a29))),f48(a45,a1))),
% 31.65/31.56 inference(scs_inference,[],[360,315,158,224,319,206,739,4002,4042,221,151,235,4048,258,259,260,161,329,168,281,160,361,280,241,349,2975,3649,3857,3243,2236,3887,3724,3726,3748,3434,3813,3818,3778,3801,3076,3097,3763,3538,3752,3823,4134,3533,3575,3385,3739,3639,2516,2296,2879,3113,3027,943,351,155,468,381,486,545,584,489,562,560,512,382,392,390,378,431,515,427,396,523,414,403,595,424,408,554,463,471,561,591,627,710,466,590,638,625,571,497,592,605,461,570,654,658,685,533,24,493,553,457,436,416,480,491,469,492,530,555,572,485,664,536,532,500,556,552])).
% 31.65/31.56 cnf(4148,plain,
% 31.65/31.56 (P6(x41481,f6(x41482,x41481,f48(x41483,a1)),f48(x41483,a1))),
% 31.65/31.56 inference(rename_variables,[],[192])).
% 31.65/31.56 cnf(4152,plain,
% 31.65/31.56 (P6(x41521,f6(x41522,x41521,f48(x41523,a1)),f48(x41523,a1))),
% 31.65/31.56 inference(rename_variables,[],[192])).
% 31.65/31.56 cnf(4154,plain,
% 31.65/31.56 (P14(f39(x41541,f3(f3(f3(f3(f40(x41541,x41542,a45))))),a45))),
% 31.65/31.56 inference(scs_inference,[],[360,315,158,224,319,206,739,4002,4042,221,151,235,4048,258,259,192,4148,260,161,329,168,281,160,361,280,241,349,3419,2975,3649,3857,3243,2236,3150,3887,3724,3726,3748,3434,3813,3818,3778,3801,3076,3097,3763,3538,3752,3823,4134,3533,3575,3385,3739,3639,2516,2296,2879,3113,3027,943,351,155,468,381,486,545,584,489,562,560,512,382,392,390,378,431,515,427,396,523,414,403,595,424,408,554,463,471,561,591,627,710,466,590,638,625,571,497,592,605,461,570,654,658,685,533,24,493,553,457,436,416,480,491,469,492,530,555,572,485,664,536,532,500,556,552,645,508,538])).
% 31.65/31.56 cnf(4155,plain,
% 31.65/31.56 (P6(x41551,f3(f3(f3(f3(x41551)))),f48(a45,a1))),
% 31.65/31.56 inference(rename_variables,[],[3419])).
% 31.65/31.56 cnf(4164,plain,
% 31.65/31.56 (P6(f32(x41641,x41642),f6(f32(f6(x41643,x41641,f48(x41644,a1)),x41642),x41645,a1),a1)),
% 31.65/31.56 inference(scs_inference,[],[360,315,158,224,319,206,120,739,4002,4042,221,151,235,4048,258,259,192,4148,260,161,329,168,281,160,361,280,241,349,3419,2975,3649,3857,3243,2236,3150,3887,3724,3866,3726,3748,3434,3813,3818,3778,3801,3076,3097,3763,3538,3752,3823,4134,3533,3575,3385,3739,1543,925,3639,2516,2296,1755,2879,3113,3027,943,351,155,468,381,486,545,584,489,562,560,512,382,392,390,378,431,515,427,396,523,414,403,595,424,408,554,463,471,561,591,627,710,466,590,638,625,571,497,592,605,461,570,654,658,685,533,24,493,553,457,436,416,480,491,469,492,530,555,572,485,664,536,532,500,556,552,645,508,538,617,535,470,481])).
% 31.65/31.56 cnf(4166,plain,
% 31.65/31.56 (P6(f6(f3(x41661),f3(x41662),f48(a45,a1)),f3(f6(f6(x41661,x41662,f48(a45,a1)),f6(x41661,x41662,f48(a45,a1)),f48(a45,a1))),f48(a45,a1))),
% 31.65/31.56 inference(scs_inference,[],[360,315,158,224,319,206,120,739,4002,4042,221,151,235,4048,258,259,192,4148,260,161,329,168,281,160,361,280,241,349,3842,3419,2975,3649,3857,3243,2236,3150,3887,3724,3866,3726,3748,3434,3813,3818,3778,3801,3076,3097,3763,3538,3752,3823,4134,3533,3575,3385,3739,1543,925,3639,2516,2296,1755,2879,3113,3027,943,947,351,155,468,381,486,545,584,489,562,560,512,382,392,390,378,431,515,427,396,523,414,403,595,424,408,554,463,471,561,591,627,710,466,590,638,625,571,497,592,605,461,570,654,658,685,533,24,493,553,457,436,416,480,491,469,492,530,555,572,485,664,536,532,500,556,552,645,508,538,617,535,470,481,504])).
% 31.65/31.56 cnf(4167,plain,
% 31.65/31.56 (P9(f48(x41671,a1))),
% 31.65/31.56 inference(rename_variables,[],[947])).
% 31.65/31.56 cnf(4171,plain,
% 31.65/31.56 (P14(f39(x41711,f3(f9(a16,f5(x41712,f14(f12(x41713,x41714,f25(f22(f32(a34,x41715),f22(f32(a34,x41715),f22(f32(a34,x41715),x41711))),f32(a24,f32(a34,x41715)))),x41716,a29),a29))),a45))),
% 31.65/31.56 inference(scs_inference,[],[360,315,158,224,319,206,120,739,4002,4042,221,151,235,4048,258,259,192,4148,260,161,329,168,281,160,361,280,241,349,3842,3419,2975,3649,3857,3243,2236,3150,3887,3724,3866,3726,3748,3434,3813,3818,3778,3801,3076,3097,3763,3538,3752,3823,4134,3533,3575,3385,3739,1543,925,3639,2516,2296,1755,2425,2879,3113,3027,1499,943,947,351,155,468,381,486,545,584,489,562,560,512,382,392,390,378,431,515,427,396,523,414,403,595,424,408,554,463,471,561,591,627,710,466,590,638,625,571,497,592,605,461,570,654,658,685,533,24,493,553,457,436,416,480,491,469,492,530,555,572,485,664,536,532,500,556,552,645,508,538,617,535,470,481,504,559,629])).
% 31.65/31.56 cnf(4179,plain,
% 31.65/31.56 (P14(f39(f22(f32(a34,a52),f25(f23(a55),f25(f21(a53),f25(f32(a24,a51),a56)))),f40(f22(x41791,x41792),f3(f40(x41792,f6(x41793,f9(a16,a50),f48(a45,a1)),a45)),a45),a45))),
% 31.65/31.56 inference(scs_inference,[],[360,315,158,224,319,206,120,739,4002,4042,221,151,235,4048,277,258,259,192,4148,260,161,329,168,281,160,361,280,241,349,3842,3419,4155,2975,3649,3857,3243,2236,3150,3887,3724,3866,3726,3748,3434,3813,3818,3778,3801,3076,3097,3763,3538,3752,3823,4134,3533,3575,3385,3739,1543,925,3639,2516,2296,3043,1755,2425,2879,3113,3027,1499,943,947,4167,351,155,468,381,486,545,584,489,562,560,512,382,392,390,378,431,515,427,396,523,414,403,595,424,408,554,463,471,561,591,627,710,466,590,638,625,571,497,592,605,461,570,654,658,685,533,24,493,553,457,436,416,480,491,469,492,530,555,572,485,664,536,532,500,556,552,645,508,538,617,535,470,481,504,559,629,502,543])).
% 31.65/31.56 cnf(4192,plain,
% 31.65/31.56 (P6(x41921,f6(x41922,x41921,f48(x41923,a1)),f48(x41923,a1))),
% 31.65/31.56 inference(rename_variables,[],[192])).
% 31.65/31.56 cnf(4197,plain,
% 31.65/31.56 (P6(x41971,f6(x41972,x41971,f48(x41973,a1)),f48(x41973,a1))),
% 31.65/31.56 inference(rename_variables,[],[192])).
% 31.65/31.56 cnf(4200,plain,
% 31.65/31.56 (P3(f20(x42001),f20(f40(f21(x42002),x42001,a45)),x42003)),
% 31.65/31.56 inference(scs_inference,[],[360,315,158,199,298,224,319,206,120,138,739,4002,4042,221,151,235,4048,277,258,259,192,4148,4152,4192,260,161,133,329,168,281,160,361,280,241,349,3842,3419,4155,2975,3649,3857,3243,2236,3150,3887,3724,3866,3726,3748,3434,3813,3818,3778,3801,3076,3097,3763,3538,3752,3823,4134,3533,3575,3385,3739,1543,925,3639,2516,2296,3043,2666,1755,2425,2879,3113,3027,1499,943,947,4167,351,155,468,381,486,545,584,489,562,560,512,382,392,390,378,431,515,427,396,523,414,403,595,424,408,554,463,471,561,591,627,710,466,590,638,625,571,497,592,605,461,570,654,658,685,533,24,493,553,457,436,416,480,491,469,492,530,555,572,485,664,536,532,500,556,552,645,508,538,617,535,470,481,504,559,629,502,543,464,534,531,524,92,2,91,88,97])).
% 31.65/31.56 cnf(4201,plain,
% 31.65/31.56 (P3(x42011,x42011,x42012)),
% 31.65/31.56 inference(rename_variables,[],[133])).
% 31.65/31.56 cnf(4202,plain,
% 31.65/31.56 (P3(f20(f40(f21(x42021),x42022,a45)),f20(x42022),x42023)),
% 31.65/31.56 inference(scs_inference,[],[360,315,158,199,298,224,319,206,120,138,739,4002,4042,221,151,235,4048,277,258,259,192,4148,4152,4192,260,161,133,4201,329,168,281,160,361,280,241,349,3842,3419,4155,2975,3649,3857,3243,2236,3150,3887,3724,3866,3726,3748,3434,3813,3818,3778,3801,3076,3097,3763,3538,3752,3823,4134,3533,3575,3385,3739,1543,925,3639,2516,2296,3043,2666,1755,2425,2879,3113,3027,1499,943,947,4167,351,155,468,381,486,545,584,489,562,560,512,382,392,390,378,431,515,427,396,523,414,403,595,424,408,554,463,471,561,591,627,710,466,590,638,625,571,497,592,605,461,570,654,658,685,533,24,493,553,457,436,416,480,491,469,492,530,555,572,485,664,536,532,500,556,552,645,508,538,617,535,470,481,504,559,629,502,543,464,534,531,524,92,2,91,88,97,98])).
% 31.65/31.56 cnf(4207,plain,
% 31.65/31.56 (E(f20(f40(f21(x42071),x42072,a45)),f20(x42072))),
% 31.65/31.56 inference(rename_variables,[],[158])).
% 31.65/31.56 cnf(4209,plain,
% 31.65/31.56 (~P14(f39(f19(f25(f25(f19(f25(f32(a24,a51),x42091)),x42091),x42092)),f26(f3(f33(f48(a45,a1)))),a45))),
% 31.65/31.56 inference(scs_inference,[],[360,315,158,4207,159,199,298,224,319,206,120,138,739,4002,4042,221,151,235,4048,277,258,259,192,4148,4152,4192,4197,260,161,133,4201,329,168,281,160,361,280,241,349,3842,3419,4155,2975,3649,3857,3243,2236,3150,3887,3724,3866,3726,3748,3434,3813,3818,3778,3801,3076,3097,3763,3538,3752,3823,4134,3533,3575,3385,3739,1543,925,3639,2516,2296,3043,2666,1755,2425,2879,3113,3027,1499,943,947,4167,351,155,468,381,486,545,584,489,562,560,512,382,392,390,378,431,515,427,396,523,414,403,595,424,408,554,463,471,561,591,627,710,466,590,638,625,571,497,592,605,461,570,654,658,685,533,24,493,553,457,436,416,480,491,469,492,530,555,572,485,664,536,532,500,556,552,645,508,538,617,535,470,481,504,559,629,502,543,464,534,531,524,92,2,91,88,97,98,90,3,20,1684])).
% 31.65/31.56 cnf(4211,plain,
% 31.65/31.56 (~P14(f39(f19(f25(f32(a24,a51),x42111)),f26(f3(f33(f48(a45,a1)))),a45))),
% 31.65/31.56 inference(scs_inference,[],[360,315,158,4207,159,199,298,224,319,206,120,138,739,4002,4042,221,151,235,4048,277,258,259,192,4148,4152,4192,4197,260,161,133,4201,329,168,281,160,361,280,241,349,3842,3419,4155,2975,3649,3857,3243,2236,3150,3887,3724,3866,3726,3748,3434,3813,3818,3778,3801,3076,3097,3763,3538,3752,3823,4134,3533,3575,3385,3739,1543,925,3639,2516,2296,3043,2666,1755,2425,2879,3113,3027,1499,943,947,4167,351,155,468,381,486,545,584,489,562,560,512,382,392,390,378,431,515,427,396,523,414,403,595,424,408,554,463,471,561,591,627,710,466,590,638,625,571,497,592,605,461,570,654,658,685,533,24,493,553,457,436,416,480,491,469,492,530,555,572,485,664,536,532,500,556,552,645,508,538,617,535,470,481,504,559,629,502,543,464,534,531,524,92,2,91,88,97,98,90,3,20,1684,1681])).
% 31.65/31.56 cnf(4221,plain,
% 31.65/31.56 (P2(f48(x42211,f48(x42212,a47)))),
% 31.65/31.56 inference(scs_inference,[],[360,315,158,4207,159,199,298,224,319,206,120,138,739,4002,4042,221,151,235,4048,277,258,259,192,4148,4152,4192,4197,260,161,133,4201,329,168,281,160,361,280,241,349,3842,3419,4155,2975,3649,3857,3243,2236,3150,3887,3724,3866,3726,3748,3434,3813,3818,3778,3801,3076,3097,3763,3538,3752,3823,4134,3533,3575,3385,2642,3739,1543,925,3639,2516,2296,3043,2067,2666,1755,2425,2879,3113,3027,1499,1639,943,947,4167,351,155,468,381,486,545,584,489,562,560,512,382,392,390,378,431,515,427,396,523,414,403,595,424,408,554,463,471,561,591,627,710,466,590,638,625,571,497,592,605,461,570,654,658,685,533,24,493,553,457,436,416,480,491,469,492,530,555,572,485,664,536,532,500,556,552,645,508,538,617,535,470,481,504,559,629,502,543,464,534,531,524,92,2,91,88,97,98,90,3,20,1684,1681,473,576,721,383])).
% 31.65/31.56 cnf(4233,plain,
% 31.65/31.56 (P7(f48(x42331,f48(x42332,a47)))),
% 31.65/31.56 inference(scs_inference,[],[360,315,158,4207,159,199,298,224,319,206,120,138,739,4002,4042,221,151,235,4048,277,258,259,192,4148,4152,4192,4197,260,161,133,4201,329,168,281,160,361,280,241,349,3842,3419,4155,2975,3649,3857,3243,2236,3150,3887,3724,3866,3726,3748,3434,3813,3818,3778,3801,3076,3097,3763,3538,3752,3823,4134,3533,3575,3385,2642,2644,3739,1543,925,3639,2516,2296,3043,2067,2666,1755,2425,2879,3113,3027,1499,1639,943,947,4167,351,155,468,381,486,545,584,489,562,560,512,382,392,390,378,431,515,427,396,523,414,403,595,424,408,554,463,471,561,591,627,710,466,590,638,625,571,497,592,605,461,570,654,658,685,533,24,493,553,457,436,416,480,491,469,492,530,555,572,485,664,536,532,500,556,552,645,508,538,617,535,470,481,504,559,629,502,543,464,534,531,524,92,2,91,88,97,98,90,3,20,1684,1681,473,576,721,383,697,668,412,476,643,380])).
% 31.65/31.56 cnf(4235,plain,
% 31.65/31.56 (~E(f5(x42351,f5(f14(x42352,f4(x42353),x42354),f4(x42355),x42353),x42355),x42351)),
% 31.65/31.56 inference(scs_inference,[],[360,315,158,4207,159,199,298,224,319,206,120,138,739,4002,4042,4045,221,151,235,4048,277,258,259,192,4148,4152,4192,4197,260,161,133,4201,329,168,281,160,361,280,241,349,3842,3419,4155,2975,3649,3857,3243,2236,3150,3887,3724,3866,3726,3748,3434,3813,3818,3778,3801,3076,3097,3763,3538,3752,3823,4134,3533,3575,3385,2642,2644,3739,1543,925,3639,2516,2296,3043,2067,2666,1755,2425,2879,3113,3027,1499,1639,943,947,4167,351,155,468,381,486,545,584,489,562,560,512,382,392,390,378,431,515,427,396,523,414,403,595,424,408,554,463,471,561,591,627,710,466,590,638,625,571,497,592,605,461,570,654,658,685,533,24,493,553,457,436,416,480,491,469,492,530,555,572,485,664,536,532,500,556,552,645,508,538,617,535,470,481,504,559,629,502,543,464,534,531,524,92,2,91,88,97,98,90,3,20,1684,1681,473,576,721,383,697,668,412,476,643,380,419])).
% 31.65/31.56 cnf(4236,plain,
% 31.65/31.56 (~E(f5(f14(x42361,f4(x42362),x42363),x42364,x42362),x42364)),
% 31.65/31.56 inference(rename_variables,[],[739])).
% 31.65/31.56 cnf(4242,plain,
% 31.65/31.56 (P1(f48(x42421,f48(x42422,f48(x42423,a1))))),
% 31.65/31.56 inference(scs_inference,[],[360,315,158,4207,159,199,298,224,319,206,120,138,739,4002,4042,4045,221,151,235,4048,277,258,259,192,4148,4152,4192,4197,260,161,133,4201,329,168,281,160,361,280,241,349,3842,3298,3419,4155,2975,3649,3857,3243,2236,3150,3887,3724,3866,3726,3748,3434,3813,3818,3778,3801,3076,3097,3763,3538,3752,3823,4134,3533,3575,3385,2642,2644,3739,1543,925,2646,3639,2516,2296,3043,2067,2666,1755,2425,2879,3113,3027,1499,1639,943,947,4167,351,155,468,381,486,545,584,489,562,560,512,382,392,390,378,431,515,427,396,523,414,403,595,424,408,554,463,471,561,591,627,710,466,590,638,625,571,497,592,605,461,570,654,658,685,533,24,493,553,457,436,416,480,491,469,492,530,555,572,485,664,536,532,500,556,552,645,508,538,617,535,470,481,504,559,629,502,543,464,534,531,524,92,2,91,88,97,98,90,3,20,1684,1681,473,576,721,383,697,668,412,476,643,380,419,477,632,379])).
% 31.65/31.56 cnf(4246,plain,
% 31.65/31.56 (P6(x42461,f6(x42462,x42461,f48(x42463,f48(x42464,a47))),f48(x42463,f48(x42464,a47)))),
% 31.65/31.56 inference(scs_inference,[],[360,315,158,4207,159,199,298,224,319,206,120,138,739,4002,4042,4045,221,151,235,4048,277,258,259,192,4148,4152,4192,4197,260,161,133,4201,329,168,281,160,361,280,241,349,3842,3298,3419,4155,2975,3649,3857,3243,2236,3150,3887,3724,3866,3726,3748,3434,3813,3818,3778,3801,3076,3097,3763,3538,3752,3823,4134,3533,3575,3385,2642,2644,3739,1543,925,2646,3639,2516,2296,3043,2067,2666,1755,2425,2879,3113,3027,1499,1639,943,947,4167,351,155,468,381,486,545,584,489,562,560,512,382,392,390,378,431,515,427,396,523,414,403,595,424,408,554,463,471,561,591,627,710,466,590,638,625,571,497,592,605,461,570,654,658,685,533,24,493,553,457,436,416,480,491,469,492,530,555,572,485,664,536,532,500,556,552,645,508,538,617,535,470,481,504,559,629,502,543,464,534,531,524,92,2,91,88,97,98,90,3,20,1684,1681,473,576,721,383,697,668,412,476,643,380,419,477,632,379,490,439])).
% 31.65/31.56 cnf(4248,plain,
% 31.65/31.56 (~P14(f39(f25(f32(a24,f32(a34,a52)),x42481),f3(f3(f3(f3(f9(a16,f4(a29)))))),a45))),
% 31.65/31.56 inference(scs_inference,[],[360,315,158,4207,159,199,298,224,319,206,120,138,739,4002,4042,4045,221,151,235,4048,277,258,259,192,4148,4152,4192,4197,260,161,133,4201,329,168,281,160,361,280,241,349,3842,3298,3419,4155,2975,3649,3857,3243,2236,3150,3887,3724,3866,3726,3748,3434,3813,3818,3778,3801,3076,3097,3763,3538,3752,3823,4134,3533,3575,3385,2642,2644,3739,1543,925,2646,3639,2516,2296,3043,2067,2666,1755,2425,2879,3113,3027,1499,1639,943,947,4167,351,155,468,381,486,545,584,489,562,560,512,382,392,390,378,431,515,427,396,523,414,403,595,424,408,554,463,471,561,591,627,710,466,590,638,625,571,497,592,605,461,570,654,658,685,533,24,493,553,457,436,416,480,491,469,492,530,555,572,485,664,536,532,500,556,552,645,508,538,617,535,470,481,504,559,629,502,543,464,534,531,524,92,2,91,88,97,98,90,3,20,1684,1681,473,576,721,383,697,668,412,476,643,380,419,477,632,379,490,439,522])).
% 31.65/31.56 cnf(4254,plain,
% 31.65/31.56 (E(f40(f32(a24,f32(f36(x42541),x42542)),f9(a16,x42543),a45),f9(a16,x42543))),
% 31.65/31.56 inference(scs_inference,[],[360,315,158,4207,159,199,298,224,319,206,373,120,138,739,4002,4042,4045,221,151,235,4048,277,258,259,192,4148,4152,4192,4197,260,161,133,4201,329,168,281,160,361,280,241,349,3842,3298,3419,4155,2975,3649,3857,3243,2236,3150,3887,3724,3866,3726,3748,3434,3813,3818,3778,3801,3076,3097,3763,3538,3752,3823,4134,3533,3575,3385,2642,2644,3739,1543,925,2646,3639,2516,2296,3043,2067,2666,1755,2425,2879,3113,3027,1499,1639,943,947,4167,351,155,468,381,486,545,584,489,562,560,512,382,392,390,378,431,515,427,396,523,414,403,595,424,408,554,463,471,561,591,627,710,466,590,638,625,571,497,592,605,461,570,654,658,685,533,24,493,553,457,436,416,480,491,469,492,530,555,572,485,664,536,532,500,556,552,645,508,538,617,535,470,481,504,559,629,502,543,464,534,531,524,92,2,91,88,97,98,90,3,20,1684,1681,473,576,721,383,697,668,412,476,643,380,419,477,632,379,490,439,522,401,670,478])).
% 31.65/31.56 cnf(4257,plain,
% 31.65/31.56 (~P14(f39(f32(f36(x42571),x42572),f41(a34,x42573,a46,a47),x42574))),
% 31.65/31.56 inference(rename_variables,[],[3134])).
% 31.65/31.56 cnf(4291,plain,
% 31.65/31.56 (~P14(f39(f32(f36(x42911),x42912),f41(a34,x42913,a46,a47),x42914))),
% 31.65/31.56 inference(rename_variables,[],[3134])).
% 31.65/31.56 cnf(4293,plain,
% 31.65/31.56 (P14(f32(f40(x42931,f6(f40(a37,x42932,x42933),f40(a38,x42934,x42935),f48(x42936,a1)),x42937),x42938))),
% 31.65/31.56 inference(scs_inference,[],[360,315,158,4207,159,199,298,224,319,206,373,120,138,739,4002,4042,4045,221,151,235,4048,277,258,259,192,4148,4152,4192,4197,260,161,133,4201,329,168,281,160,361,280,4062,241,349,3842,3298,3419,4155,2975,3649,3857,3243,2236,3150,3887,3134,4257,3724,3866,3726,3748,3434,3813,3818,3778,3801,3076,3097,3763,3538,3752,3823,4134,3533,3575,3385,2642,2644,3739,1543,925,2646,3639,2516,2296,3043,2067,2666,1755,2425,2879,3113,3027,1499,1639,943,947,4167,351,155,468,381,486,545,584,489,562,560,512,382,392,390,378,431,515,427,396,523,414,403,595,424,408,554,463,471,561,591,627,710,466,590,638,625,571,497,592,605,461,570,654,658,685,533,24,493,553,457,436,416,480,491,469,492,530,555,572,485,664,536,532,500,556,552,645,508,538,617,535,470,481,504,559,629,502,543,464,534,531,524,92,2,91,88,97,98,90,3,20,1684,1681,473,576,721,383,697,668,412,476,643,380,419,477,632,379,490,439,522,401,670,478,669,579,448,447,445,444,443,402,395,394,393,387,377,686,389,391,699,494])).
% 31.65/31.56 cnf(4295,plain,
% 31.65/31.56 (~P14(f39(f32(a18,f32(a18,f32(a18,f32(a18,f32(f36(x42951),x42952))))),a27,a47))),
% 31.65/31.56 inference(scs_inference,[],[360,315,158,4207,159,199,298,224,319,206,373,120,138,739,4002,4042,4045,221,151,235,4048,277,258,259,192,4148,4152,4192,4197,260,161,133,4201,329,168,281,160,361,280,4062,241,349,3842,3298,3419,4155,2975,3649,3857,3243,2236,3150,3887,3134,4257,3724,3866,3726,3748,3434,3813,3818,3778,3801,3076,3097,3763,3538,3752,3823,4134,3533,3575,3385,2642,2644,3739,1543,925,2646,3639,2516,2571,2296,3043,2067,2666,1755,2425,2879,3113,3027,1499,1639,943,947,4167,351,155,468,381,486,545,584,489,562,560,512,382,392,390,378,431,515,427,396,523,414,403,595,424,408,554,463,471,561,591,627,710,466,590,638,625,571,497,592,605,461,570,654,658,685,533,24,493,553,457,436,416,480,491,469,492,530,555,572,485,664,536,532,500,556,552,645,508,538,617,535,470,481,504,559,629,502,543,464,534,531,524,92,2,91,88,97,98,90,3,20,1684,1681,473,576,721,383,697,668,412,476,643,380,419,477,632,379,490,439,522,401,670,478,669,579,448,447,445,444,443,402,395,394,393,387,377,686,389,391,699,494,520])).
% 31.65/31.56 cnf(4304,plain,
% 31.65/31.56 (P14(f39(f32(a18,f32(a18,f32(a18,f32(a34,x43041)))),a27,a47))),
% 31.65/31.56 inference(scs_inference,[],[360,315,158,4207,159,199,298,224,319,206,373,120,138,739,4002,4042,4045,221,151,235,4048,277,258,259,192,4148,4152,4192,4197,260,161,4091,133,4201,329,168,281,160,361,280,4062,241,349,3842,3298,3419,4155,2975,3649,3857,3243,2236,3150,3887,3134,4257,3724,3866,3726,3748,3434,3813,3818,3778,3801,3076,3097,3763,3538,3752,4078,3823,4134,3533,3575,3385,2642,2644,3739,1543,925,2646,3639,2516,2571,2296,3043,2067,2666,1755,2425,2581,2879,3113,3027,1499,1639,943,947,4167,351,155,468,381,486,545,584,489,562,560,512,382,392,390,378,431,515,427,396,523,414,403,595,424,408,554,463,471,561,591,627,710,466,590,638,625,571,497,592,605,461,570,654,658,685,533,24,493,553,457,436,416,480,491,469,492,530,555,572,485,664,536,532,500,556,552,645,508,538,617,535,470,481,504,559,629,502,543,464,534,531,524,92,2,91,88,97,98,90,3,20,1684,1681,473,576,721,383,697,668,412,476,643,380,419,477,632,379,490,439,522,401,670,478,669,579,448,447,445,444,443,402,395,394,393,387,377,686,389,391,699,494,520,506,446,467,505])).
% 31.65/31.56 cnf(4315,plain,
% 31.65/31.56 (P4(f15(f14(f25(f25(x43151,x43152),x43153),x43154,x43155),x43155),x43151)),
% 31.65/31.56 inference(scs_inference,[],[360,315,158,4207,159,199,298,224,319,206,373,120,138,739,4002,4042,4045,221,151,235,4048,277,258,259,192,4148,4152,4192,4197,260,161,4091,133,4201,329,168,281,160,361,280,4062,241,349,3842,3298,3419,4155,2975,3649,3857,3243,2236,3150,3887,3134,4257,4291,3724,3866,3726,3748,3434,3813,3818,3778,3801,3076,3097,3763,3538,3752,4078,3823,4134,3533,3575,3385,2642,2644,3739,1543,925,2646,3639,2516,2571,2296,3043,2067,2666,1755,2425,2581,2879,3113,3027,1499,1639,943,947,4167,351,155,468,381,486,545,584,489,562,560,512,382,392,390,378,431,515,427,396,523,414,403,595,424,408,554,463,471,561,591,627,710,466,590,638,625,571,497,592,605,461,570,654,658,685,533,24,493,553,457,436,416,480,491,469,492,530,555,572,485,664,536,532,500,556,552,645,508,538,617,535,470,481,504,559,629,502,543,464,534,531,524,92,2,91,88,97,98,90,3,20,1684,1681,473,576,721,383,697,668,412,476,643,380,419,477,632,379,490,439,522,401,670,478,669,579,448,447,445,444,443,402,395,394,393,387,377,686,389,391,699,494,520,506,446,467,505,673,388,574,460,415])).
% 31.65/31.56 cnf(4322,plain,
% 31.65/31.56 (~E(f5(f14(x43221,f4(x43222),x43223),x43224,x43222),x43224)),
% 31.65/31.56 inference(rename_variables,[],[739])).
% 31.65/31.56 cnf(4335,plain,
% 31.65/31.56 (~P6(f40(f32(a24,a51),x43351,a45),f9(a16,a50),f48(a45,a1))),
% 31.65/31.56 inference(scs_inference,[],[360,315,301,158,4207,159,199,298,224,319,206,373,120,138,739,4002,4042,4045,4236,221,151,235,4048,277,258,259,192,4148,4152,4192,4197,260,161,4091,133,4201,329,168,281,160,361,280,4062,241,349,3842,3298,3419,4155,2975,3649,3857,3243,2236,3150,3887,3134,4257,4291,3724,3866,3726,3748,3434,3813,3818,3778,3801,3076,3097,3763,3538,3752,4078,3823,4134,3533,3575,3385,2642,2644,3739,1543,925,2646,3639,2516,2571,2296,3043,2067,2666,1755,2425,2581,2879,3113,3027,1499,1639,943,947,4167,917,351,155,468,381,486,545,584,489,562,560,512,382,392,390,378,431,515,427,396,523,414,403,595,424,408,554,463,471,561,591,627,710,466,590,638,625,571,497,592,605,461,570,654,658,685,533,24,493,553,457,436,416,480,491,469,492,530,555,572,485,664,536,532,500,556,552,645,508,538,617,535,470,481,504,559,629,502,543,464,534,531,524,92,2,91,88,97,98,90,3,20,1684,1681,473,576,721,383,697,668,412,476,643,380,419,477,632,379,490,439,522,401,670,478,669,579,448,447,445,444,443,402,395,394,393,387,377,686,389,391,699,494,520,506,446,467,505,673,388,574,460,415,405,578,409,706,719,435,433,671,462])).
% 31.65/31.56 cnf(4345,plain,
% 31.65/31.56 (~E(f5(f14(x43451,f4(x43452),x43453),x43454,x43452),x43454)),
% 31.65/31.56 inference(rename_variables,[],[739])).
% 31.65/31.56 cnf(4353,plain,
% 31.65/31.56 (~P14(f39(f12(a17,f5(f14(x43531,f4(x43532),x43533),a52,x43532),f22(f32(a34,f5(f14(x43531,f4(x43532),x43533),a52,x43532)),f25(x43534,f25(f21(x43535),f25(f32(a24,a51),x43536))))),f15(a50,a29),a29))),
% 31.65/31.56 inference(scs_inference,[],[360,315,301,158,4207,159,199,298,224,319,206,373,120,138,739,4002,4042,4045,4236,4322,4345,221,151,235,4048,277,258,259,192,4148,4152,4192,4197,260,161,4091,133,4201,329,168,281,160,361,165,280,4062,241,349,3842,3298,3419,4155,2975,3649,3857,3243,2236,3150,3887,3134,4257,4291,3724,3866,3185,3726,3748,3434,3813,3818,3778,3801,3076,3097,3763,3538,3752,4078,3823,4134,3533,3575,3385,2642,2644,3739,1543,925,2646,3639,2516,2571,2296,3517,3043,2067,2666,1755,2425,2581,2879,3113,3027,1499,1639,943,947,4167,917,351,155,468,381,486,545,584,489,562,560,512,382,392,390,378,431,515,427,396,523,414,403,595,424,408,554,463,471,561,591,627,710,466,590,638,625,571,497,592,605,461,570,654,658,685,533,24,493,553,457,436,416,480,491,469,492,530,555,572,485,664,536,532,500,556,552,645,508,538,617,535,470,481,504,559,629,502,543,464,534,531,524,92,2,91,88,97,98,90,3,20,1684,1681,473,576,721,383,697,668,412,476,643,380,419,477,632,379,490,439,522,401,670,478,669,579,448,447,445,444,443,402,395,394,393,387,377,686,389,391,699,494,520,506,446,467,505,673,388,574,460,415,405,578,409,706,719,435,433,671,462,14,411,407,406,709,689,100,641,720])).
% 31.65/31.56 cnf(4361,plain,
% 31.65/31.56 (P12(f48(x43611,f48(x43612,f48(x43613,a1))))),
% 31.65/31.56 inference(scs_inference,[],[360,315,301,158,4207,159,199,298,224,319,206,373,120,138,739,4002,4042,4045,4236,4322,4345,221,151,235,4048,277,258,259,192,4148,4152,4192,4197,260,161,4091,133,4201,329,168,281,4127,160,361,165,280,4062,241,349,3842,3298,3419,4155,2975,3649,3857,3243,2236,3150,3887,3134,4257,4291,3724,3866,3185,3726,3748,3434,3813,3818,3778,3801,3076,3097,3763,3538,3752,4078,3823,4134,3533,3575,3385,2642,2644,3739,1543,925,2646,3639,2516,2571,2296,3517,3043,2640,2067,2666,1755,2425,2581,2879,3113,3027,1499,1639,943,947,4167,917,351,155,468,381,486,545,584,489,562,560,512,382,392,390,378,431,515,427,396,523,414,403,595,424,408,554,463,471,561,591,627,710,466,590,638,625,571,497,592,605,461,570,654,658,685,533,24,493,553,457,436,416,480,491,469,492,530,555,572,485,664,536,532,500,556,552,645,508,538,617,535,470,481,504,559,629,502,543,464,534,531,524,92,2,91,88,97,98,90,3,20,1684,1681,473,576,721,383,697,668,412,476,643,380,419,477,632,379,490,439,522,401,670,478,669,579,448,447,445,444,443,402,395,394,393,387,377,686,389,391,699,494,520,506,446,467,505,673,388,574,460,415,405,578,409,706,719,435,433,671,462,14,411,407,406,709,689,100,641,720,713,46,38,385])).
% 31.65/31.56 cnf(4376,plain,
% 31.65/31.56 (E(f3(f20(f40(f21(x43761),x43762,a45))),f3(f20(x43762)))),
% 31.65/31.56 inference(scs_inference,[],[360,315,301,158,4207,159,199,298,224,319,206,373,120,138,739,4002,4042,4045,4236,4322,4345,221,151,235,4048,277,258,259,192,4148,4152,4192,4197,260,161,4091,133,4201,329,168,281,4127,160,361,165,280,4062,241,349,3842,3298,3419,4155,2975,3649,3857,3243,2236,3150,3887,3134,4257,4291,3724,3866,3185,3726,3748,3434,3813,3818,3778,3801,3076,3097,3763,3538,3752,4078,3823,4134,3533,3575,3385,2642,2644,3739,1543,925,2646,3639,2516,2571,2296,3517,3043,2640,2067,2666,1755,2425,2581,2879,3113,3027,1499,1639,943,947,4167,917,351,155,468,381,486,545,584,489,562,560,512,382,392,390,378,431,515,427,396,523,414,403,595,424,408,554,463,471,561,591,627,710,466,590,638,625,571,497,592,605,461,570,654,658,685,533,24,493,553,457,436,416,480,491,469,492,530,555,572,485,664,536,532,500,556,552,645,508,538,617,535,470,481,504,559,629,502,543,464,534,531,524,92,2,91,88,97,98,90,3,20,1684,1681,473,576,721,383,697,668,412,476,643,380,419,477,632,379,490,439,522,401,670,478,669,579,448,447,445,444,443,402,395,394,393,387,377,686,389,391,699,494,520,506,446,467,505,673,388,574,460,415,405,578,409,706,719,435,433,671,462,14,411,407,406,709,689,100,641,720,713,46,38,385,83,82,80,79,74,65,63,60,59,36,33,27,22,10])).
% 31.65/31.56 cnf(4383,plain,
% 31.65/31.56 (P10(f48(x43831,f48(x43832,a47)))),
% 31.65/31.56 inference(scs_inference,[],[360,315,301,158,4207,159,199,298,224,319,206,373,120,138,739,4002,4042,4045,4236,4322,4345,221,151,235,4048,277,258,259,192,4148,4152,4192,4197,260,161,4091,133,4201,329,168,281,4127,160,361,165,280,4062,241,349,3842,3298,3419,4155,2975,3649,3857,3243,2236,3150,3887,3134,4257,4291,3724,3866,3185,3726,3748,3434,3813,3623,3818,3778,3801,3076,3097,3763,3538,3752,4078,3823,4134,3533,3575,3385,3101,2642,2644,3739,1543,925,2646,3639,2516,2682,2571,2296,3517,3043,2640,2067,2666,1755,2425,2581,2879,3113,3027,1499,1639,943,947,4167,917,351,155,468,381,486,545,584,489,562,560,512,382,392,390,378,431,515,427,396,523,414,403,595,424,408,554,463,471,561,591,627,710,466,590,638,625,571,497,592,605,461,570,654,658,685,533,24,493,553,457,436,416,480,491,469,492,530,555,572,485,664,536,532,500,556,552,645,508,538,617,535,470,481,504,559,629,502,543,464,534,531,524,92,2,91,88,97,98,90,3,20,1684,1681,473,576,721,383,697,668,412,476,643,380,419,477,632,379,490,439,522,401,670,478,669,579,448,447,445,444,443,402,395,394,393,387,377,686,389,391,699,494,520,506,446,467,505,673,388,574,460,415,405,578,409,706,719,435,433,671,462,14,411,407,406,709,689,100,641,720,713,46,38,385,83,82,80,79,74,65,63,60,59,36,33,27,22,10,410,495,624,384])).
% 31.65/31.56 cnf(4385,plain,
% 31.65/31.56 (P13(f48(x43851,f48(x43852,a47)))),
% 31.65/31.56 inference(scs_inference,[],[360,315,301,158,4207,159,199,298,224,319,206,373,120,138,739,4002,4042,4045,4236,4322,4345,221,151,235,4048,277,258,259,192,4148,4152,4192,4197,260,161,4091,133,4201,329,168,281,4127,160,361,165,280,4062,241,349,3842,3298,3419,4155,2975,3649,3857,3243,2236,3150,3887,3134,4257,4291,3724,3866,3185,3726,3748,3434,3813,3623,3818,3778,3801,3076,3097,3763,3538,3752,4078,3823,4134,3533,3575,3385,3101,2642,2644,3739,1543,925,2646,3639,2516,2682,2571,2296,3517,3043,2640,2067,2680,2666,1755,2425,2581,2879,3113,3027,1499,1639,943,947,4167,917,351,155,468,381,486,545,584,489,562,560,512,382,392,390,378,431,515,427,396,523,414,403,595,424,408,554,463,471,561,591,627,710,466,590,638,625,571,497,592,605,461,570,654,658,685,533,24,493,553,457,436,416,480,491,469,492,530,555,572,485,664,536,532,500,556,552,645,508,538,617,535,470,481,504,559,629,502,543,464,534,531,524,92,2,91,88,97,98,90,3,20,1684,1681,473,576,721,383,697,668,412,476,643,380,419,477,632,379,490,439,522,401,670,478,669,579,448,447,445,444,443,402,395,394,393,387,377,686,389,391,699,494,520,506,446,467,505,673,388,574,460,415,405,578,409,706,719,435,433,671,462,14,411,407,406,709,689,100,641,720,713,46,38,385,83,82,80,79,74,65,63,60,59,36,33,27,22,10,410,495,624,384,386])).
% 31.65/31.56 cnf(4387,plain,
% 31.65/31.56 (E(f48(f20(f40(f21(x43871),x43872,a45)),x43873),f48(f20(x43872),x43873))),
% 31.65/31.56 inference(scs_inference,[],[360,315,301,158,4207,159,199,298,224,319,206,373,120,138,739,4002,4042,4045,4236,4322,4345,221,151,235,4048,277,258,259,192,4148,4152,4192,4197,260,161,4091,133,4201,329,168,281,4127,160,361,165,280,4062,241,349,3842,3298,3419,4155,2975,3649,3857,3243,2236,3150,3887,3134,4257,4291,3724,3866,3185,3726,3748,3434,3813,3623,3818,3778,3801,3076,3097,3763,3538,3752,4078,3823,4134,3533,3575,3385,3101,2642,2644,3739,1543,925,2646,3639,2516,2682,2571,2296,3517,3043,2640,2067,2680,2666,1755,2425,2581,2879,3113,3027,1499,1639,943,947,4167,917,351,155,468,381,486,545,584,489,562,560,512,382,392,390,378,431,515,427,396,523,414,403,595,424,408,554,463,471,561,591,627,710,466,590,638,625,571,497,592,605,461,570,654,658,685,533,24,493,553,457,436,416,480,491,469,492,530,555,572,485,664,536,532,500,556,552,645,508,538,617,535,470,481,504,559,629,502,543,464,534,531,524,92,2,91,88,97,98,90,3,20,1684,1681,473,576,721,383,697,668,412,476,643,380,419,477,632,379,490,439,522,401,670,478,669,579,448,447,445,444,443,402,395,394,393,387,377,686,389,391,699,494,520,506,446,467,505,673,388,574,460,415,405,578,409,706,719,435,433,671,462,14,411,407,406,709,689,100,641,720,713,46,38,385,83,82,80,79,74,65,63,60,59,36,33,27,22,10,410,495,624,384,386,26])).
% 31.65/31.56 cnf(4412,plain,
% 31.65/31.56 (P14(f39(f32(a24,f32(a34,a16)),f3(f9(a16,f14(f11(x44121,x44122),f14(f12(x44123,x44124,x44125),f14(f10(x44126,x44127),f4(a29),a29),a29),a29))),a45))),
% 31.65/31.56 inference(scs_inference,[],[4385,3734,399,666])).
% 31.65/31.56 cnf(4414,plain,
% 31.65/31.56 (P14(f39(x44141,f3(f3(f3(f40(x44141,x44142,a45)))),a45))),
% 31.65/31.56 inference(scs_inference,[],[4385,4154,3734,399,666,522])).
% 31.65/31.56 cnf(4416,plain,
% 31.65/31.56 (~P14(f39(f25(f25(f19(f25(f32(a24,a51),x44161)),x44161),x44162),f26(f3(f33(f48(a45,a1)))),a45))),
% 31.65/31.56 inference(scs_inference,[],[4385,4154,4209,3734,399,666,522,506])).
% 31.65/31.56 cnf(4447,plain,
% 31.65/31.56 (~P6(f26(f26(f2(f9(a16,a50)))),f26(f40(f21(x44471),f9(a16,f4(a29)),a45)),f48(a45,a1))),
% 31.65/31.56 inference(scs_inference,[],[175,349,4385,4154,4209,3734,4353,3724,155,399,666,522,506,56,30,29,721,84,81,78,76,75,72,70,69,68,67,64,62,52,51,50,45,43,37,35,34,23,8,6,471])).
% 31.65/31.56 cnf(4480,plain,
% 31.65/31.56 (~P6(f9(a16,a50),f2(f40(f32(a24,f32(a34,x44801)),f33(f48(a45,a1)),a45)),f48(a45,a1))),
% 31.65/31.56 inference(scs_inference,[],[175,349,4385,3829,4154,4101,4209,3734,4353,3724,155,399,666,522,506,56,30,29,721,84,81,78,76,75,72,70,69,68,67,64,62,52,51,50,45,43,37,35,34,23,8,6,471,42,58,41,19,16,12,11,17,15,31,54,39,28,25,18,85,77,73,71,66,61,55,49,44,9,7,5,627,47,40,466])).
% 31.65/31.56 cnf(4485,plain,
% 31.65/31.56 (~P14(f39(f25(f19(f25(f32(a24,a51),x44851)),x44851),f26(f3(f33(f48(a45,a1)))),a45))),
% 31.65/31.56 inference(scs_inference,[],[175,261,165,349,4385,3829,4154,4101,4209,3734,4353,3724,155,399,666,522,506,56,30,29,721,84,81,78,76,75,72,70,69,68,67,64,62,52,51,50,45,43,37,35,34,23,8,6,471,42,58,41,19,16,12,11,17,15,31,54,39,28,25,18,85,77,73,71,66,61,55,49,44,9,7,5,627,47,40,466,591,53,580])).
% 31.65/31.56 cnf(4486,plain,
% 31.65/31.56 (P14(f39(f21(x44861),f26(x44862),a45))),
% 31.65/31.56 inference(rename_variables,[],[165])).
% 31.65/31.56 cnf(4493,plain,
% 31.65/31.56 (~P14(f39(f22(f32(a34,a16),f22(f32(a34,a16),f22(f32(a34,a16),f22(f32(a34,a16),f22(f32(a34,a16),f25(x44931,f32(a24,a51))))))),f3(f9(a16,a50)),a45))),
% 31.65/31.56 inference(scs_inference,[],[175,276,261,731,165,154,349,4385,3829,4154,4101,3613,4209,3734,4353,3724,2299,3415,155,399,666,522,506,56,30,29,721,84,81,78,76,75,72,70,69,68,67,64,62,52,51,50,45,43,37,35,34,23,8,6,471,42,58,41,19,16,12,11,17,15,31,54,39,28,25,18,85,77,73,71,66,61,55,49,44,9,7,5,627,47,40,466,591,53,580,638,95,628])).
% 31.65/31.56 cnf(4499,plain,
% 31.65/31.56 (P14(f39(f21(x44991),f26(x44992),a45))),
% 31.65/31.56 inference(rename_variables,[],[165])).
% 31.65/31.56 cnf(4501,plain,
% 31.65/31.56 (~P14(f39(f32(a24,a51),f3(f3(f40(f25(f21(x45011),f21(x45011)),f9(a16,a50),a45))),a45))),
% 31.65/31.56 inference(scs_inference,[],[175,276,261,731,165,4486,154,349,4385,3829,4154,4101,3613,4209,3790,3734,4353,4136,3724,3679,2299,3415,155,399,666,522,506,56,30,29,721,84,81,78,76,75,72,70,69,68,67,64,62,52,51,50,45,43,37,35,34,23,8,6,471,42,58,41,19,16,12,11,17,15,31,54,39,28,25,18,85,77,73,71,66,61,55,49,44,9,7,5,627,47,40,466,591,53,580,638,95,628,602,592,605])).
% 31.65/31.56 cnf(4509,plain,
% 31.65/31.56 (~P14(f39(f25(x45091,f25(f22(x45092,f23(x45093)),x45094)),f2(f9(x45095,f4(a29))),a45))),
% 31.65/31.56 inference(scs_inference,[],[761,175,276,261,145,731,165,4486,154,349,4385,4144,3829,4154,4101,3613,4209,3790,3734,4353,4136,3724,3679,2299,3415,155,399,666,522,506,56,30,29,721,84,81,78,76,75,72,70,69,68,67,64,62,52,51,50,45,43,37,35,34,23,8,6,471,42,58,41,19,16,12,11,17,15,31,54,39,28,25,18,85,77,73,71,66,61,55,49,44,9,7,5,627,47,40,466,591,53,580,638,95,628,602,592,605,461,497,613,570])).
% 31.65/31.56 cnf(4511,plain,
% 31.65/31.56 (P6(x45111,x45111,f48(x45112,a1))),
% 31.65/31.56 inference(rename_variables,[],[145])).
% 31.65/31.56 cnf(4515,plain,
% 31.65/31.56 (~P14(f39(x45151,f2(f33(f48(a45,a1))),a45))),
% 31.65/31.56 inference(rename_variables,[],[364])).
% 31.65/31.56 cnf(4517,plain,
% 31.65/31.56 (~P14(f39(f32(a24,a51),f3(f40(f21(x45171),f40(f25(f21(x45172),f21(x45172)),f3(f40(f25(f21(x45172),f21(x45172)),f9(a16,a50),a45)),a45),a45)),a45))),
% 31.65/31.56 inference(scs_inference,[],[761,175,276,261,145,4511,731,364,165,4486,4499,154,349,4385,4144,3829,4154,4101,3613,4209,3790,3734,4353,4136,3807,3724,3679,2299,3415,155,399,666,522,506,56,30,29,721,84,81,78,76,75,72,70,69,68,67,64,62,52,51,50,45,43,37,35,34,23,8,6,471,42,58,41,19,16,12,11,17,15,31,54,39,28,25,18,85,77,73,71,66,61,55,49,44,9,7,5,627,47,40,466,591,53,580,638,95,628,602,592,605,461,497,613,570,654,658])).
% 31.65/31.56 cnf(4519,plain,
% 31.65/31.56 (P6(x45191,x45191,f48(x45192,a1))),
% 31.65/31.56 inference(rename_variables,[],[145])).
% 31.65/31.56 cnf(4523,plain,
% 31.65/31.56 (P14(f39(f32(a24,f32(a18,f32(f36(x45231),x45232))),f26(f7(x45233)),a45))),
% 31.65/31.56 inference(scs_inference,[],[761,175,276,261,372,145,4511,731,364,165,4486,4499,154,349,4385,4144,3829,4154,4101,3613,4209,3790,3734,4353,4136,3807,3724,3679,2299,3415,155,399,666,522,506,56,30,29,721,84,81,78,76,75,72,70,69,68,67,64,62,52,51,50,45,43,37,35,34,23,8,6,471,42,58,41,19,16,12,11,17,15,31,54,39,28,25,18,85,77,73,71,66,61,55,49,44,9,7,5,627,47,40,466,591,53,580,638,95,628,602,592,605,461,497,613,570,654,658,671,493])).
% 31.65/31.56 cnf(4525,plain,
% 31.65/31.56 (~P6(f6(x45251,f6(f3(f41(a24,f40(f32(a34,a52),x45252,a47),a47,a45)),f9(a16,a50),f48(a45,a1)),f48(a45,a1)),f3(f9(a16,a50)),f48(a45,a1))),
% 31.65/31.56 inference(scs_inference,[],[761,175,276,261,372,145,4511,731,364,165,4486,4499,154,349,4385,4144,3829,4059,4154,4101,3613,4209,3790,3734,4353,4136,3807,3724,3679,2299,778,3415,155,399,666,522,506,56,30,29,721,84,81,78,76,75,72,70,69,68,67,64,62,52,51,50,45,43,37,35,34,23,8,6,471,42,58,41,19,16,12,11,17,15,31,54,39,28,25,18,85,77,73,71,66,61,55,49,44,9,7,5,627,47,40,466,591,53,580,638,95,628,602,592,605,461,497,613,570,654,658,671,493,553])).
% 31.65/31.56 cnf(4528,plain,
% 31.65/31.56 (P14(f32(f6(f40(x45281,f6(f40(a37,x45282,x45283),f40(a38,x45284,x45285),f48(x45286,a1)),x45287),x45288,f48(x45289,a1)),x452810))),
% 31.65/31.56 inference(scs_inference,[],[761,175,276,261,372,193,145,4511,731,364,165,4486,4499,154,349,4293,4385,4144,3829,4059,4154,4101,3613,4209,3790,3734,4353,4136,3807,3724,3679,2299,778,3415,155,399,666,522,506,56,30,29,721,84,81,78,76,75,72,70,69,68,67,64,62,52,51,50,45,43,37,35,34,23,8,6,471,42,58,41,19,16,12,11,17,15,31,54,39,28,25,18,85,77,73,71,66,61,55,49,44,9,7,5,627,47,40,466,591,53,580,638,95,628,602,592,605,461,497,613,570,654,658,671,493,553,457])).
% 31.65/31.56 cnf(4529,plain,
% 31.65/31.56 (P6(x45291,f6(x45291,x45292,f48(x45293,a1)),f48(x45293,a1))),
% 31.65/31.56 inference(rename_variables,[],[193])).
% 31.65/31.56 cnf(4533,plain,
% 31.65/31.56 (~P14(f39(f25(x45331,f25(f32(a24,f32(a34,a52)),x45332)),f3(f3(f3(f3(f9(a16,f4(a29)))))),a45))),
% 31.65/31.56 inference(scs_inference,[],[761,316,175,276,261,372,193,145,4511,731,364,165,4486,4499,154,349,4293,4385,4144,3829,4248,4059,4154,4101,3613,4209,3790,3734,4353,4136,3807,3724,3679,2299,778,3415,155,399,666,522,506,56,30,29,721,84,81,78,76,75,72,70,69,68,67,64,62,52,51,50,45,43,37,35,34,23,8,6,471,42,58,41,19,16,12,11,17,15,31,54,39,28,25,18,85,77,73,71,66,61,55,49,44,9,7,5,627,47,40,466,591,53,580,638,95,628,602,592,605,461,497,613,570,654,658,671,493,553,457,416,533])).
% 31.65/31.56 cnf(4542,plain,
% 31.65/31.56 (P6(x45421,f6(x45421,x45422,f48(x45423,a1)),f48(x45423,a1))),
% 31.65/31.56 inference(rename_variables,[],[193])).
% 31.65/31.56 cnf(4547,plain,
% 31.65/31.56 (P6(x45471,f2(f2(f2(f2(f2(f2(f2(x45471))))))),f48(a45,a1))),
% 31.65/31.56 inference(scs_inference,[],[761,316,175,276,261,372,193,4529,145,4511,731,364,165,4486,4499,154,349,3810,4293,4385,4144,3829,4248,4059,4087,4154,4101,3613,4209,3790,3734,4353,4136,3807,2410,3724,3679,2299,778,3415,943,155,399,666,522,506,56,30,29,721,84,81,78,76,75,72,70,69,68,67,64,62,52,51,50,45,43,37,35,34,23,8,6,471,42,58,41,19,16,12,11,17,15,31,54,39,28,25,18,85,77,73,71,66,61,55,49,44,9,7,5,627,47,40,466,591,53,580,638,95,628,602,592,605,461,497,613,570,654,658,671,493,553,457,416,533,462,491,436,480,530,469])).
% 31.65/31.56 cnf(4552,plain,
% 31.65/31.56 (~P14(f39(f25(x45521,f25(f32(a24,f32(a34,a52)),x45522)),f3(f3(f9(a16,f4(a29)))),a45))),
% 31.65/31.56 inference(scs_inference,[],[761,316,175,276,261,372,193,4529,145,4511,731,364,165,4486,4499,154,349,3810,4293,4385,4144,3829,4248,4096,4059,4087,4154,4101,4133,3613,4209,3790,3734,4353,4136,3807,2410,3724,3679,2299,778,3415,943,155,399,666,522,506,56,30,29,721,84,81,78,76,75,72,70,69,68,67,64,62,52,51,50,45,43,37,35,34,23,8,6,471,42,58,41,19,16,12,11,17,15,31,54,39,28,25,18,85,77,73,71,66,61,55,49,44,9,7,5,627,47,40,466,591,53,580,638,95,628,602,592,605,461,497,613,570,654,658,671,493,553,457,416,533,462,491,436,480,530,469,532,492])).
% 31.65/31.56 cnf(4555,plain,
% 31.65/31.56 (P6(f3(x45551),f3(f6(f6(x45552,x45551,f48(a45,a1)),f6(x45552,x45551,f48(a45,a1)),f48(a45,a1))),f48(a45,a1))),
% 31.65/31.56 inference(scs_inference,[],[761,316,175,276,261,372,193,4529,145,4511,731,364,165,4486,4499,154,349,4166,3810,4293,4385,4144,3829,4248,4096,4059,4087,4154,4101,4133,3613,4209,3790,3734,4353,4136,3807,2410,3724,3679,2299,778,3415,943,155,399,666,522,506,56,30,29,721,84,81,78,76,75,72,70,69,68,67,64,62,52,51,50,45,43,37,35,34,23,8,6,471,42,58,41,19,16,12,11,17,15,31,54,39,28,25,18,85,77,73,71,66,61,55,49,44,9,7,5,627,47,40,466,591,53,580,638,95,628,602,592,605,461,497,613,570,654,658,671,493,553,457,416,533,462,491,436,480,530,469,532,492,32,555])).
% 31.65/31.56 cnf(4570,plain,
% 31.65/31.56 (~P14(f39(f32(a24,f32(a34,a17)),f2(f9(a16,f4(a29))),a45))),
% 31.65/31.56 inference(scs_inference,[],[761,316,175,276,261,372,365,756,742,257,193,4529,4542,145,4511,731,364,165,4486,4499,156,154,349,4166,3810,4293,4385,4144,3829,4248,4096,4059,4087,4154,4101,4133,3760,3613,4209,3790,3734,4353,4136,3807,3536,2410,3724,3679,2299,778,3415,1843,943,155,399,666,522,506,56,30,29,721,84,81,78,76,75,72,70,69,68,67,64,62,52,51,50,45,43,37,35,34,23,8,6,471,42,58,41,19,16,12,11,17,15,31,54,39,28,25,18,85,77,73,71,66,61,55,49,44,9,7,5,627,47,40,466,591,53,580,638,95,628,602,592,605,461,497,613,570,654,658,671,493,553,457,416,533,462,491,436,480,530,469,532,492,32,555,645,508,664,572,617])).
% 31.65/31.56 cnf(4572,plain,
% 31.65/31.56 (~P14(f39(f25(f25(f25(x45721,f25(f25(f23(x45722),x45723),x45724)),x45725),x45726),f7(f4(a29)),a45))),
% 31.65/31.56 inference(scs_inference,[],[761,316,175,276,261,372,365,756,742,257,193,4529,4542,145,4511,731,364,165,4486,4499,156,154,349,4166,3810,4293,4385,4144,3829,4248,4096,4059,4087,4154,4101,4133,3760,3613,4209,3790,3734,4353,4136,3807,3536,2410,3724,3679,2299,778,3415,1843,943,155,399,666,522,506,56,30,29,721,84,81,78,76,75,72,70,69,68,67,64,62,52,51,50,45,43,37,35,34,23,8,6,471,42,58,41,19,16,12,11,17,15,31,54,39,28,25,18,85,77,73,71,66,61,55,49,44,9,7,5,627,47,40,466,591,53,580,638,95,628,602,592,605,461,497,613,570,654,658,671,493,553,457,416,533,462,491,436,480,530,469,532,492,32,555,645,508,664,572,617,536])).
% 31.65/31.56 cnf(4574,plain,
% 31.65/31.56 (~P14(f39(f25(x45741,f25(f25(x45742,f25(f25(f23(x45743),x45744),x45745)),x45746)),f7(f4(a29)),a45))),
% 31.65/31.56 inference(scs_inference,[],[761,316,175,276,261,372,365,756,742,257,193,4529,4542,145,4511,731,364,165,4486,4499,156,154,349,4166,3810,4293,4385,4144,3829,4248,4096,4059,4087,4154,4101,4133,3760,3613,4209,3790,3734,4353,4136,3807,3536,2410,3724,3679,2299,778,3415,1843,943,155,399,666,522,506,56,30,29,721,84,81,78,76,75,72,70,69,68,67,64,62,52,51,50,45,43,37,35,34,23,8,6,471,42,58,41,19,16,12,11,17,15,31,54,39,28,25,18,85,77,73,71,66,61,55,49,44,9,7,5,627,47,40,466,591,53,580,638,95,628,602,592,605,461,497,613,570,654,658,671,493,553,457,416,533,462,491,436,480,530,469,532,492,32,555,645,508,664,572,617,536,535])).
% 31.65/31.56 cnf(4577,plain,
% 31.65/31.56 (P6(x45771,f40(x45772,x45771,x45773),f48(x45773,a1))),
% 31.65/31.56 inference(rename_variables,[],[179])).
% 31.65/31.56 cnf(4580,plain,
% 31.65/31.56 (~P6(f6(f2(f9(x45801,x45802)),f2(x45803),f48(a45,a1)),f2(f33(f48(a45,a1))),f48(a45,a1))),
% 31.65/31.56 inference(scs_inference,[],[761,316,175,276,261,372,365,756,742,257,193,4529,4542,145,4511,179,731,160,364,165,4486,4499,156,154,349,4166,3810,4293,4385,4144,3829,4248,4096,4059,4087,4154,4101,4133,3760,3613,4209,3790,3734,4353,4136,3807,3536,3552,2410,3724,3679,2299,778,3415,1843,943,939,155,399,666,522,506,56,30,29,721,84,81,78,76,75,72,70,69,68,67,64,62,52,51,50,45,43,37,35,34,23,8,6,471,42,58,41,19,16,12,11,17,15,31,54,39,28,25,18,85,77,73,71,66,61,55,49,44,9,7,5,627,47,40,466,591,53,580,638,95,628,602,592,605,461,497,613,570,654,658,671,493,553,457,416,533,462,491,436,480,530,469,532,492,32,555,645,508,664,572,617,536,535,485,481])).
% 31.65/31.56 cnf(4584,plain,
% 31.65/31.56 (~P14(f39(f23(x45841),f3(f6(f3(f9(x45842,f4(a29))),f3(f9(x45842,f4(a29))),f48(a45,a1))),a45))),
% 31.65/31.56 inference(scs_inference,[],[761,316,175,276,261,372,365,756,742,257,193,4529,4542,145,4511,179,731,160,364,165,4486,4499,156,154,349,4166,3810,4293,4385,4144,3829,4248,4096,4059,4087,4154,4101,4133,3760,3613,4209,3790,3734,4353,4136,3807,3536,3552,2410,3724,3679,2299,778,3415,1843,943,939,155,399,666,522,506,56,30,29,721,84,81,78,76,75,72,70,69,68,67,64,62,52,51,50,45,43,37,35,34,23,8,6,471,42,58,41,19,16,12,11,17,15,31,54,39,28,25,18,85,77,73,71,66,61,55,49,44,9,7,5,627,47,40,466,591,53,580,638,95,628,602,592,605,461,497,613,570,654,658,671,493,553,457,416,533,462,491,436,480,530,469,532,492,32,555,645,508,664,572,617,536,535,485,481,500])).
% 31.65/31.56 cnf(4586,plain,
% 31.65/31.56 (P6(f3(x45861),f3(f6(f6(x45861,x45862,f48(a45,a1)),f6(x45861,x45862,f48(a45,a1)),f48(a45,a1))),f48(a45,a1))),
% 31.65/31.56 inference(scs_inference,[],[761,316,175,276,261,372,365,756,742,257,193,4529,4542,145,4511,179,731,160,364,165,4486,4499,156,154,349,4166,3810,4293,4385,4144,3829,4248,4096,4059,4087,4154,4101,4133,3760,3613,4209,3790,3734,4353,4136,3807,3536,3552,2410,3724,3679,2299,778,3415,1843,943,939,155,399,666,522,506,56,30,29,721,84,81,78,76,75,72,70,69,68,67,64,62,52,51,50,45,43,37,35,34,23,8,6,471,42,58,41,19,16,12,11,17,15,31,54,39,28,25,18,85,77,73,71,66,61,55,49,44,9,7,5,627,47,40,466,591,53,580,638,95,628,602,592,605,461,497,613,570,654,658,671,493,553,457,416,533,462,491,436,480,530,469,532,492,32,555,645,508,664,572,617,536,535,485,481,500,556])).
% 31.65/31.56 cnf(4588,plain,
% 31.65/31.56 (~P14(f39(f23(x45881),f2(f2(f6(f3(f9(x45882,f4(a29))),f3(f9(x45882,f4(a29))),f48(a45,a1)))),a45))),
% 31.65/31.56 inference(scs_inference,[],[761,316,175,276,261,372,365,756,742,257,193,4529,4542,145,4511,4519,179,731,160,364,165,4486,4499,156,154,349,4166,3810,4293,4385,4144,3829,4248,4096,4059,4087,4154,4101,4133,3760,3613,4209,3790,3734,4353,4136,3807,3536,3552,2410,3724,3679,2299,778,3415,1843,943,939,155,399,666,522,506,56,30,29,721,84,81,78,76,75,72,70,69,68,67,64,62,52,51,50,45,43,37,35,34,23,8,6,471,42,58,41,19,16,12,11,17,15,31,54,39,28,25,18,85,77,73,71,66,61,55,49,44,9,7,5,627,47,40,466,591,53,580,638,95,628,602,592,605,461,497,613,570,654,658,671,493,553,457,416,533,462,491,436,480,530,469,532,492,32,555,645,508,664,572,617,536,535,485,481,500,556,552])).
% 31.65/31.56 cnf(4591,plain,
% 31.65/31.56 (P6(f6(x45911,x45912,f48(a45,a1)),f3(f6(x45911,f3(x45912),f48(a45,a1))),f48(a45,a1))),
% 31.65/31.56 inference(scs_inference,[],[761,316,175,276,261,372,365,756,742,257,193,4529,4542,145,4511,4519,179,731,160,364,165,4486,4499,156,154,349,4166,2997,3810,4293,4385,4144,3829,4248,4096,4059,4087,4154,4101,4133,3760,3613,4209,3790,3734,4353,4136,3807,3536,3552,2410,3724,3679,2299,778,3415,1843,943,939,155,399,666,522,506,56,30,29,721,84,81,78,76,75,72,70,69,68,67,64,62,52,51,50,45,43,37,35,34,23,8,6,471,42,58,41,19,16,12,11,17,15,31,54,39,28,25,18,85,77,73,71,66,61,55,49,44,9,7,5,627,47,40,466,591,53,580,638,95,628,602,592,605,461,497,613,570,654,658,671,493,553,457,416,533,462,491,436,480,530,469,532,492,32,555,645,508,664,572,617,536,535,485,481,500,556,552,470])).
% 31.65/31.56 cnf(4601,plain,
% 31.65/31.56 (~P6(f7(x46011),f2(f33(f48(a45,a1))),f48(a45,a1))),
% 31.65/31.56 inference(scs_inference,[],[366,761,316,175,276,261,372,365,756,742,257,193,4529,4542,145,4511,4519,179,731,160,364,4515,113,165,4486,4499,156,154,349,4166,2997,3810,4293,4385,4144,3829,4248,4096,4059,4087,4154,4101,4133,3760,3613,4209,3790,3734,4353,4136,3807,1501,1443,3536,3552,2410,3724,3679,2299,778,3415,1843,943,939,155,399,666,522,506,56,30,29,721,84,81,78,76,75,72,70,69,68,67,64,62,52,51,50,45,43,37,35,34,23,8,6,471,42,58,41,19,16,12,11,17,15,31,54,39,28,25,18,85,77,73,71,66,61,55,49,44,9,7,5,627,47,40,466,591,53,580,638,95,628,602,592,605,461,497,613,570,654,658,671,493,553,457,416,533,462,491,436,480,530,469,532,492,32,555,645,508,664,572,617,536,535,485,481,500,556,552,470,538,504,559,502,543])).
% 31.65/31.56 cnf(4606,plain,
% 31.65/31.56 (~P14(f39(f22(f32(a34,a16),f22(f32(a34,a16),f25(x46061,f25(f32(a24,a51),x46062)))),f3(f9(a16,a50)),a45))),
% 31.65/31.56 inference(scs_inference,[],[366,761,316,175,276,261,372,365,756,742,257,193,4529,4542,145,4511,4519,179,731,160,364,4515,113,165,4486,4499,156,154,349,4166,2997,3810,4293,4385,4144,3829,4248,4096,4059,4087,4154,4101,4133,3760,3613,3682,4209,3790,3734,4353,4136,3807,1501,1443,3536,3552,2410,3724,3679,2299,778,3415,1441,1843,943,939,155,399,666,522,506,56,30,29,721,84,81,78,76,75,72,70,69,68,67,64,62,52,51,50,45,43,37,35,34,23,8,6,471,42,58,41,19,16,12,11,17,15,31,54,39,28,25,18,85,77,73,71,66,61,55,49,44,9,7,5,627,47,40,466,591,53,580,638,95,628,602,592,605,461,497,613,570,654,658,671,493,553,457,416,533,462,491,436,480,530,469,532,492,32,555,645,508,664,572,617,536,535,485,481,500,556,552,470,538,504,559,502,543,534,629])).
% 31.65/31.56 cnf(4610,plain,
% 31.65/31.56 (~P14(f39(f32(a24,a51),f3(f9(a16,a50)),x46101))),
% 31.65/31.56 inference(scs_inference,[],[366,761,316,175,276,261,372,365,756,742,257,193,4529,4542,145,4511,4519,179,731,160,364,4515,113,165,4486,4499,156,154,349,4166,2997,3810,4293,4385,4144,3829,4248,4096,4059,4087,4154,4101,4133,3760,3613,3682,4209,3790,3734,4353,4136,3807,1501,1443,3796,3536,3552,2410,3724,3679,2299,778,3415,1441,1843,943,939,155,399,666,522,506,56,30,29,721,84,81,78,76,75,72,70,69,68,67,64,62,52,51,50,45,43,37,35,34,23,8,6,471,42,58,41,19,16,12,11,17,15,31,54,39,28,25,18,85,77,73,71,66,61,55,49,44,9,7,5,627,47,40,466,591,53,580,638,95,628,602,592,605,461,497,613,570,654,658,671,493,553,457,416,533,462,491,436,480,530,469,532,492,32,555,645,508,664,572,617,536,535,485,481,500,556,552,470,538,504,559,502,543,534,629,531,464])).
% 31.65/31.56 cnf(4618,plain,
% 31.65/31.56 (~P14(f6(f6(f33(f48(x46181,a1)),f33(f48(x46181,a1)),f48(x46181,a1)),f39(f32(f36(x46182),x46183),f41(a34,x46184,a46,a47),a47),f48(x46181,a1)))),
% 31.65/31.56 inference(scs_inference,[],[366,761,316,175,276,250,261,372,365,756,129,742,257,193,4529,4542,145,4511,4519,179,4577,731,736,160,364,4515,113,165,4486,4499,156,154,349,4166,2997,3810,4293,3634,4385,4144,3829,4248,4096,4059,4087,4154,4101,4133,3760,3613,3682,4209,3790,3734,4353,4136,3807,1501,1443,3796,3536,3552,2410,3724,3679,2299,778,3415,1441,1843,943,939,155,399,666,522,506,56,30,29,721,84,81,78,76,75,72,70,69,68,67,64,62,52,51,50,45,43,37,35,34,23,8,6,471,42,58,41,19,16,12,11,17,15,31,54,39,28,25,18,85,77,73,71,66,61,55,49,44,9,7,5,627,47,40,466,591,53,580,638,95,628,602,592,605,461,497,613,570,654,658,671,493,553,457,416,533,462,491,436,480,530,469,532,492,32,555,645,508,664,572,617,536,535,485,481,500,556,552,470,538,504,559,502,543,534,629,531,464,524,2,92,88])).
% 31.65/31.56 cnf(4620,plain,
% 31.65/31.56 (P3(f20(f40(f21(x46201),f40(f25(x46202,x46203),x46204,a45),a45)),f20(x46204),x46205)),
% 31.65/31.56 inference(scs_inference,[],[366,761,316,175,176,276,250,261,372,365,756,129,742,257,193,4529,4542,145,4511,4519,179,4577,731,736,160,364,4515,113,165,4486,4499,156,154,349,4166,2997,3810,4293,4202,3634,4385,4144,3829,4248,4096,4059,4087,4154,4101,4133,3760,3613,3682,4209,3790,3734,4353,4136,3807,1501,1443,3796,3536,3552,2410,3724,3679,2299,778,3415,1441,1843,943,939,155,399,666,522,506,56,30,29,721,84,81,78,76,75,72,70,69,68,67,64,62,52,51,50,45,43,37,35,34,23,8,6,471,42,58,41,19,16,12,11,17,15,31,54,39,28,25,18,85,77,73,71,66,61,55,49,44,9,7,5,627,47,40,466,591,53,580,638,95,628,602,592,605,461,497,613,570,654,658,671,493,553,457,416,533,462,491,436,480,530,469,532,492,32,555,645,508,664,572,617,536,535,485,481,500,556,552,470,538,504,559,502,543,534,629,531,464,524,2,92,88,98])).
% 31.65/31.56 cnf(4624,plain,
% 31.65/31.56 (P3(f20(x46241),f20(f40(f21(x46242),f40(f25(x46243,x46244),x46241,a45),a45)),x46245)),
% 31.65/31.56 inference(scs_inference,[],[366,761,316,175,176,276,195,250,261,372,365,756,129,742,257,193,4529,4542,145,4511,4519,179,4577,731,736,160,364,4515,113,165,4486,4499,156,154,349,4166,2997,3810,4293,4200,4202,3634,4385,4144,3829,4248,4096,4059,4087,4154,4101,4133,3760,3613,3682,4209,3790,3734,4353,4136,3807,1501,1443,3796,3536,3552,2410,3724,3679,2299,778,3415,1441,1843,943,939,155,399,666,522,506,56,30,29,721,84,81,78,76,75,72,70,69,68,67,64,62,52,51,50,45,43,37,35,34,23,8,6,471,42,58,41,19,16,12,11,17,15,31,54,39,28,25,18,85,77,73,71,66,61,55,49,44,9,7,5,627,47,40,466,591,53,580,638,95,628,602,592,605,461,497,613,570,654,658,671,493,553,457,416,533,462,491,436,480,530,469,532,492,32,555,645,508,664,572,617,536,535,485,481,500,556,552,470,538,504,559,502,543,534,629,531,464,524,2,92,88,98,91,97])).
% 31.65/31.56 cnf(4697,plain,
% 31.65/31.56 (P14(f39(f32(a24,f32(a34,a16)),f3(f9(a16,f14(f10(x46971,x46972),f14(f11(x46973,x46974),f14(f12(x46975,x46976,x46977),f14(f10(x46978,x46979),f4(a29),a29),a29),a29),a29))),a45))),
% 31.65/31.56 inference(scs_inference,[],[4412,667])).
% 31.65/31.56 cnf(4701,plain,
% 31.65/31.56 (~E(f25(x47011,x47012),f22(x47013,x47014))),
% 31.65/31.56 inference(rename_variables,[],[322])).
% 31.65/31.56 cnf(4708,plain,
% 31.65/31.56 (~P14(f39(f25(x47081,f25(f19(f25(f32(a24,a51),x47082)),x47082)),f26(f3(f33(f48(a45,a1)))),a45))),
% 31.65/31.56 inference(scs_inference,[],[307,322,4485,4412,4044,3538,3739,155,667,703,702,479,560])).
% 31.65/31.56 cnf(4712,plain,
% 31.65/31.56 (~P14(f39(f25(x47121,f25(f32(a24,f32(a34,a52)),x47122)),f3(f3(f3(f3(f3(f9(a16,f4(a29))))))),a45))),
% 31.65/31.56 inference(scs_inference,[],[307,322,761,4533,4485,4412,4044,3538,3739,155,667,703,702,479,560,463,522])).
% 31.65/31.56 cnf(4722,plain,
% 31.65/31.56 (P6(x47221,f26(f6(f26(f26(f26(f26(x47221)))),x47222,f48(a45,a1))),f48(a45,a1))),
% 31.65/31.56 inference(scs_inference,[],[307,322,761,353,352,4533,4485,4416,4412,4523,4044,4052,3538,3739,155,667,703,702,479,560,463,522,561,511,506,588,471])).
% 31.65/31.56 cnf(4727,plain,
% 31.65/31.56 (P14(f39(f25(f21(a53),f25(f32(a24,a51),a56)),f2(f40(x47271,f6(f6(f9(a16,a50),f9(a16,a50),f48(a45,a1)),f6(x47272,f9(a16,a50),f48(a45,a1)),f48(a45,a1)),a45)),a45))),
% 31.65/31.56 inference(scs_inference,[],[307,322,761,233,353,352,4533,3880,4485,4416,4412,4523,4044,4052,3538,3739,155,667,703,702,479,560,463,522,561,511,506,588,471,466,604])).
% 31.65/31.56 cnf(4729,plain,
% 31.65/31.56 (P14(f39(x47291,f3(f6(x47292,f3(f3(f40(x47291,x47293,a45))),f48(a45,a1))),a45))),
% 31.65/31.56 inference(scs_inference,[],[307,322,761,233,353,352,4533,3880,4414,4485,4416,4412,4523,4044,4052,3538,3739,155,667,703,702,479,560,463,522,561,511,506,588,471,466,604,627])).
% 31.65/31.56 cnf(4731,plain,
% 31.65/31.56 (P14(f39(f25(f32(a24,f32(a18,f32(f36(x47311),x47312))),f32(a24,f32(a18,f32(f36(x47311),x47312)))),f26(f7(x47313)),a45))),
% 31.65/31.56 inference(scs_inference,[],[307,322,761,233,353,352,4533,3880,4414,4485,4416,4412,4523,4044,4052,3538,3739,155,667,703,702,479,560,463,522,561,511,506,588,471,466,604,627,580])).
% 31.65/31.56 cnf(4735,plain,
% 31.65/31.56 (~P14(f39(f25(f25(f25(f23(x47351),x47352),f22(x47353,f22(f32(a34,a53),x47354))),f25(f22(x47355,f23(x47356)),x47357)),f26(f2(f9(a16,f4(a29)))),a45))),
% 31.65/31.56 inference(scs_inference,[],[307,322,761,233,353,352,4533,3880,4414,4485,4416,4509,4412,4523,4044,3459,4052,3538,3739,155,667,703,702,479,560,463,522,561,511,506,588,471,466,604,627,580,567,583])).
% 31.65/31.56 cnf(4740,plain,
% 31.65/31.56 (P14(f39(x47401,f3(f40(x47402,f3(f3(f40(x47401,x47403,a45))),a45)),a45))),
% 31.65/31.56 inference(scs_inference,[],[307,322,761,233,353,352,113,4533,3880,4414,4485,4416,4509,4412,4523,3010,4044,3459,4052,3538,3739,155,667,703,702,479,560,463,522,561,511,506,588,471,466,604,627,580,567,583,519,605])).
% 31.65/31.56 cnf(4744,plain,
% 31.65/31.56 (~P6(f26(f2(f9(a16,a50))),f26(f9(a16,f4(a29))),f48(a45,a1))),
% 31.65/31.56 inference(scs_inference,[],[307,322,761,233,353,352,113,154,4111,4533,3880,4414,4485,4416,4493,4509,4412,4523,3010,4044,3459,4052,3538,3739,155,667,703,702,479,560,463,522,561,511,506,588,471,466,604,627,580,567,583,519,605,628,497])).
% 31.65/31.56 cnf(4746,plain,
% 31.65/31.56 (P14(f39(f22(f32(f36(x47461),x47462),f21(x47463)),f26(f9(x47464,f4(a29))),a45))),
% 31.65/31.56 inference(scs_inference,[],[225,307,322,761,233,353,352,165,113,154,4111,4533,3880,4414,4485,4416,4493,4509,4412,4523,3010,4044,3459,4052,3538,3739,155,667,703,702,479,560,463,522,561,511,506,588,471,466,604,627,580,567,583,519,605,628,497,592])).
% 31.65/31.56 cnf(4747,plain,
% 31.65/31.56 (P14(f39(f21(x47471),f26(x47472),a45))),
% 31.65/31.56 inference(rename_variables,[],[165])).
% 31.65/31.56 cnf(4751,plain,
% 31.65/31.56 (~P14(f39(f32(a24,a51),f26(f3(f3(f40(f25(f21(x47511),f21(x47511)),f9(a16,a50),a45)))),a45))),
% 31.65/31.56 inference(scs_inference,[],[225,307,322,761,233,353,352,165,113,154,4111,4533,3880,4414,4501,4485,4416,4493,4509,4412,4523,3010,4044,3459,4052,3538,3739,155,667,703,702,479,560,463,522,561,511,506,588,471,466,604,627,580,567,583,519,605,628,497,592,461,546])).
% 31.65/31.56 cnf(4754,plain,
% 31.65/31.56 (P6(f2(f40(f32(a24,f32(a34,x47541)),f33(f48(a45,a1)),a45)),f7(x47542),f48(a45,a1))),
% 31.65/31.56 inference(rename_variables,[],[759])).
% 31.65/31.56 cnf(4756,plain,
% 31.65/31.56 (~P14(f39(f32(a24,a51),f26(f3(f40(f25(f21(x47561),f21(x47561)),f3(f9(a16,a50)),a45))),a45))),
% 31.65/31.56 inference(scs_inference,[],[763,225,307,322,761,759,233,234,353,352,165,113,154,4111,4533,3880,4414,4501,4485,4416,4493,4509,4412,4523,3010,4044,3459,4052,3538,3739,3113,155,667,703,702,479,560,463,522,561,511,506,588,471,466,604,627,580,567,583,519,605,628,497,592,461,546,570,658])).
% 31.65/31.56 cnf(4758,plain,
% 31.65/31.56 (P14(f39(x47581,f3(f40(x47581,x47582,a45)),a45))),
% 31.65/31.56 inference(rename_variables,[],[3113])).
% 31.65/31.56 cnf(4766,plain,
% 31.65/31.56 (P6(f2(f40(f22(a51,f25(f23(a54),f23(a54))),x47661,a45)),f6(f2(f2(f9(a16,a50))),f2(x47661),f48(a45,a1)),f48(a45,a1))),
% 31.65/31.56 inference(rename_variables,[],[761])).
% 31.65/31.56 cnf(4771,plain,
% 31.65/31.56 (~P14(f39(f23(x47711),f3(f6(f3(f3(f9(x47712,f4(a29)))),f3(f3(f9(x47712,f4(a29)))),f48(a45,a1))),a45))),
% 31.65/31.56 inference(scs_inference,[],[763,225,307,322,761,759,233,234,259,353,352,361,364,165,113,154,4620,4111,4533,3880,4584,4414,4501,4485,4416,4493,4509,4412,4523,3010,4044,3459,4055,4052,3543,3538,3739,3113,155,667,703,702,479,560,463,522,561,511,506,588,471,466,604,627,580,567,583,519,605,628,497,592,461,546,570,658,654,493,457,416,553])).
% 31.65/31.56 cnf(4774,plain,
% 31.65/31.56 (P14(f39(x47741,f3(f3(f3(f40(f25(x47742,x47741),x47743,a45)))),a45))),
% 31.65/31.56 inference(scs_inference,[],[763,225,307,322,761,759,233,234,259,353,352,361,364,165,113,154,4620,4111,4533,3880,4584,4414,4501,4485,4416,4493,4509,4412,4523,3010,4044,3459,4055,4052,3543,3538,3739,3113,155,667,703,702,479,560,463,522,561,511,506,588,471,466,604,627,580,567,583,519,605,628,497,592,461,546,570,658,654,493,457,416,553,533])).
% 31.65/31.56 cnf(4775,plain,
% 31.65/31.56 (P14(f39(x47751,f3(f3(f3(f40(x47751,x47752,a45)))),a45))),
% 31.65/31.56 inference(rename_variables,[],[4414])).
% 31.65/31.56 cnf(4777,plain,
% 31.65/31.56 (~P14(f39(f22(x47771,f23(x47772)),f2(f2(f6(f3(f9(x47773,f4(a29))),f3(f9(x47773,f4(a29))),f48(a45,a1)))),a45))),
% 31.65/31.56 inference(scs_inference,[],[763,225,307,322,761,759,233,234,259,353,352,361,364,165,113,154,4620,4111,4533,3880,4588,4584,4414,4501,4485,4416,4493,4509,4412,4523,3010,4044,3459,4055,4052,3543,3538,3739,3113,155,667,703,702,479,560,463,522,561,511,506,588,471,466,604,627,580,567,583,519,605,628,497,592,461,546,570,658,654,493,457,416,553,533,530])).
% 31.65/31.56 cnf(4781,plain,
% 31.65/31.56 (~P14(f32(f15(a50,a29),f12(x47811,x47812,f32(a24,a51))))),
% 31.65/31.56 inference(scs_inference,[],[763,751,225,307,322,761,759,233,234,259,353,352,361,364,165,113,154,4620,4111,4533,3880,4588,4584,4414,4501,4485,4416,4493,4509,4412,4523,3010,4044,3459,4055,4052,3543,3538,3739,3113,155,667,703,702,479,560,463,522,561,511,506,588,471,466,604,627,580,567,583,519,605,628,497,592,461,546,570,658,654,493,457,416,553,533,530,491,436])).
% 31.65/31.56 cnf(4787,plain,
% 31.65/31.56 (~P6(f6(x47871,f6(x47872,f6(f3(f41(a24,f40(f32(a34,a52),x47873,a47),a47,a45)),f9(a16,a50),f48(a45,a1)),f48(a45,a1)),f48(a45,a1)),f3(f9(a16,a50)),f48(a45,a1))),
% 31.65/31.56 inference(scs_inference,[],[763,751,225,117,307,322,761,759,233,234,259,353,352,361,364,165,113,154,4525,4620,4111,4533,3880,4588,4584,4414,4501,4485,4416,4493,4509,4412,4523,3010,929,4044,3459,4055,4052,3543,3538,3739,3113,155,667,703,702,479,560,463,522,561,511,506,588,471,466,604,627,580,567,583,519,605,628,497,592,461,546,570,658,654,493,457,416,553,533,530,491,436,532,480,555])).
% 31.65/31.56 cnf(4789,plain,
% 31.65/31.56 (P14(f39(f32(x47891,f22(a51,f25(f23(a54),f23(a54)))),f26(f41(x47891,f7(a50),a45,a45)),a45))),
% 31.65/31.56 inference(scs_inference,[],[763,751,225,117,307,322,761,149,759,233,234,259,353,352,361,364,165,113,154,4525,4620,4111,4533,3880,4588,4584,4414,4501,4485,4416,4493,4509,4412,4523,3010,929,4044,3459,4055,4052,3543,3538,3739,3113,155,667,703,702,479,560,463,522,561,511,506,588,471,466,604,627,580,567,583,519,605,628,497,592,461,546,570,658,654,493,457,416,553,533,530,491,436,532,480,555,645])).
% 31.65/31.56 cnf(4793,plain,
% 31.65/31.56 (P6(x47931,f2(x47931),f48(a45,a1))),
% 31.65/31.56 inference(rename_variables,[],[147])).
% 31.65/31.56 cnf(4799,plain,
% 31.65/31.56 (P14(f39(x47991,f7(f5(x47992,f14(f12(x47993,x47994,f25(x47995,x47991)),x47996,a29),a29)),a45))),
% 31.65/31.56 inference(rename_variables,[],[1765])).
% 31.65/31.56 cnf(4801,plain,
% 31.65/31.56 (~P6(f2(f6(f2(f9(x48011,x48012)),f2(x48013),f48(a45,a1))),f2(f33(f48(a45,a1))),f48(a45,a1))),
% 31.65/31.56 inference(scs_inference,[],[763,751,225,117,307,322,761,4766,149,759,147,233,234,259,353,352,361,364,165,113,154,349,4525,4620,4580,4111,4533,3880,4588,4584,4414,4501,4485,4416,4493,4509,1765,4412,4523,3010,929,4044,3459,4055,4052,3543,1412,3538,3739,3113,155,667,703,702,479,560,463,522,561,511,506,588,471,466,604,627,580,567,583,519,605,628,497,592,461,546,570,658,654,493,457,416,553,533,530,491,436,532,480,555,645,508,617,535,469])).
% 31.65/31.56 cnf(4811,plain,
% 31.65/31.56 (~P14(f39(f25(f25(x48111,f22(x48112,x48113)),x48114),f9(x48115,f4(a29)),a45))),
% 31.65/31.56 inference(rename_variables,[],[4057])).
% 31.65/31.56 cnf(4821,plain,
% 31.65/31.56 (P6(f33(f48(x48211,a1)),x48212,f48(x48211,a1))),
% 31.65/31.56 inference(rename_variables,[],[161])).
% 31.65/31.56 cnf(4828,plain,
% 31.65/31.56 (~P14(f39(f25(f25(f25(x48281,f25(f25(f23(x48282),x48283),x48284)),x48285),x48286),f2(f9(a16,f4(a29))),a45))),
% 31.65/31.56 inference(scs_inference,[],[763,751,225,117,307,322,761,4766,739,149,759,147,4793,150,233,234,259,161,353,352,160,361,364,165,113,154,349,4525,4620,4580,4111,4533,3880,4588,4584,4414,4775,4501,4485,4416,4493,4509,1765,4799,2396,4412,4572,4523,3010,929,4044,3459,4055,4057,4052,3543,1412,3538,3739,3113,939,155,667,703,702,479,560,463,522,561,511,506,588,471,466,604,627,580,567,583,519,605,628,497,592,461,546,570,658,654,493,457,416,553,533,530,491,436,532,480,555,645,508,617,535,469,492,500,552,572,664,536,481,485,559])).
% 31.65/31.56 cnf(4835,plain,
% 31.65/31.56 (P14(f39(x48351,f3(f3(f3(f40(f25(x48351,x48352),x48353,a45)))),a45))),
% 31.65/31.56 inference(scs_inference,[],[763,751,225,117,307,322,761,4766,739,149,759,4754,147,4793,150,233,234,259,161,353,352,160,361,364,165,113,154,349,4525,4620,4580,4111,4533,3880,4588,4584,4414,4775,4501,4485,4416,4493,4509,1765,4799,2396,4412,4572,4523,3010,929,4044,3459,4055,4057,4052,3543,1412,3538,3739,3113,939,155,667,703,702,479,560,463,522,561,511,506,588,471,466,604,627,580,567,583,519,605,628,497,592,461,546,570,658,654,493,457,416,553,533,530,491,436,532,480,555,645,508,617,535,469,492,500,552,572,664,536,481,485,559,556,543,534])).
% 31.65/31.56 cnf(4838,plain,
% 31.65/31.56 (~P6(f3(f6(x48381,f6(f3(f41(a24,f40(f32(a34,a52),x48382,a47),a47,a45)),f9(a16,a50),f48(a45,a1)),f48(a45,a1))),f3(f9(a16,a50)),f48(a45,a1))),
% 31.65/31.56 inference(scs_inference,[],[763,751,225,117,307,322,761,4766,739,149,759,4754,147,4793,150,233,234,259,161,353,352,160,361,364,165,113,154,349,4525,4620,4580,4111,4533,3880,4588,4584,4414,4775,4501,4485,4416,4493,4509,1765,4799,2396,4412,4572,4523,3010,929,4044,3459,4055,4057,4052,3543,1412,3538,3739,3113,939,155,667,703,702,479,560,463,522,561,511,506,588,471,466,604,627,580,567,583,519,605,628,497,592,461,546,570,658,654,493,457,416,553,533,530,491,436,532,480,555,645,508,617,535,469,492,500,552,572,664,536,481,485,559,556,543,534,470])).
% 31.65/31.56 cnf(4840,plain,
% 31.65/31.56 (P14(f39(x48401,f2(f2(f2(f2(f2(f2(f2(f40(x48401,x48402,a45)))))))),a45))),
% 31.65/31.56 inference(scs_inference,[],[763,751,225,117,307,322,761,4766,739,149,759,4754,147,4793,150,233,234,259,161,353,352,160,361,364,165,113,154,349,4547,4525,4620,4580,4111,4533,3880,4588,4584,4414,4775,4501,4485,4416,4493,4509,1765,4799,2396,4412,4572,4523,3010,929,4044,3459,4055,4057,4052,3543,1412,3538,3739,3113,939,155,667,703,702,479,560,463,522,561,511,506,588,471,466,604,627,580,567,583,519,605,628,497,592,461,546,570,658,654,493,457,416,553,533,530,491,436,532,480,555,645,508,617,535,469,492,500,552,572,664,536,481,485,559,556,543,534,470,538])).
% 31.65/31.56 cnf(4844,plain,
% 31.65/31.56 (P9(f48(x48441,a1))),
% 31.65/31.56 inference(rename_variables,[],[947])).
% 31.65/31.56 cnf(4849,plain,
% 31.65/31.56 (~P14(f39(f22(f32(a34,a16),f22(f32(a34,a16),f22(f32(a34,a16),f32(a24,f32(a34,a52))))),f3(f9(a16,f14(f12(a16,x48491,f19(f21(x48492))),f4(a29),a29))),a45))),
% 31.65/31.56 inference(scs_inference,[],[763,751,225,117,307,322,761,4766,739,149,759,4754,147,4793,150,233,234,259,161,353,352,160,361,364,165,113,154,349,4547,4525,4620,4580,4111,4533,3880,4588,4584,4414,4775,4501,4485,4416,4493,4509,1765,4799,2396,4412,4572,4523,3010,929,4044,3459,4055,4057,3863,4052,3543,1412,3538,3239,3739,3113,939,947,4844,155,667,703,702,479,560,463,522,561,511,506,588,471,466,604,627,580,567,583,519,605,628,497,592,461,546,570,658,654,493,457,416,553,533,530,491,436,532,480,555,645,508,617,535,469,492,500,552,572,664,536,481,485,559,556,543,534,470,538,504,502,629])).
% 31.65/31.56 cnf(4852,plain,
% 31.65/31.56 (P14(f39(f25(f32(a24,a51),a56),f2(f6(f6(f9(a16,a50),f9(a16,a50),f48(a45,a1)),f6(x48521,f9(a16,a50),f48(a45,a1)),f48(a45,a1))),a45))),
% 31.65/31.56 inference(scs_inference,[],[763,751,225,117,307,322,761,4766,739,149,759,4754,147,4793,150,233,234,259,161,353,352,160,361,364,165,113,154,349,4547,4525,4620,4580,4111,4533,3880,4588,4584,4414,4775,4501,4485,4416,4493,4509,1765,4799,2396,4412,4572,4523,3010,929,4044,3459,4055,4057,3863,4052,3543,1412,3538,3239,3739,3113,939,947,4844,155,667,703,702,479,560,463,522,561,511,506,588,471,466,604,627,580,567,583,519,605,628,497,592,461,546,570,658,654,493,457,416,553,533,530,491,436,532,480,555,645,508,617,535,469,492,500,552,572,664,536,481,485,559,556,543,534,470,538,504,502,629,531])).
% 31.65/31.56 cnf(4859,plain,
% 31.65/31.56 (~P6(f35(f48(a45,a1)),f2(f9(x48591,f4(a29))),f6(f33(f48(x48592,a1)),f6(f48(a45,a1),f33(f48(x48592,a1)),f48(x48592,a1)),f48(x48592,a1)))),
% 31.65/31.56 inference(scs_inference,[],[763,248,751,225,117,307,322,4701,761,4766,739,149,759,4754,147,4793,150,233,234,259,161,353,352,160,361,364,165,113,154,349,4547,4525,4620,4580,4111,4533,3880,4588,4584,4414,4775,4501,4485,4416,4493,4509,1765,4799,2396,4412,4572,4523,3010,929,4044,3459,4055,4057,3863,4052,3543,3884,1412,3538,3239,3739,3113,939,947,4844,155,667,703,702,479,560,463,522,561,511,506,588,471,466,604,627,580,567,583,519,605,628,497,592,461,546,570,658,654,493,457,416,553,533,530,491,436,532,480,555,645,508,617,535,469,492,500,552,572,664,536,481,485,559,556,543,534,470,538,504,502,629,531,464,524,2,92])).
% 31.65/31.56 cnf(4863,plain,
% 31.65/31.56 (E(f6(f33(f48(x48631,a1)),x48632,f48(x48631,a1)),x48632)),
% 31.65/31.56 inference(rename_variables,[],[163])).
% 31.65/31.56 cnf(4875,plain,
% 31.65/31.56 (P14(f39(f32(a24,f32(a34,x48751)),f3(f6(f41(a24,a27,a47,a45),x48752,f48(a45,a1))),a45))),
% 31.65/31.56 inference(scs_inference,[],[763,337,174,248,751,225,325,117,307,322,4701,139,163,4863,146,761,4766,739,727,149,759,4754,147,4793,150,233,234,259,161,353,352,736,160,361,364,165,169,113,154,349,4547,2801,4525,4620,4580,4111,4533,3880,4588,4584,4414,4775,4501,4485,4416,4493,4509,1765,4799,2396,4412,4572,4523,3439,3010,929,4044,3459,4055,4057,3863,4052,3543,3884,1412,3538,3239,3739,3113,939,947,4844,155,667,703,702,479,560,463,522,561,511,506,588,471,466,604,627,580,567,583,519,605,628,497,592,461,546,570,658,654,493,457,416,553,533,530,491,436,532,480,555,645,508,617,535,469,492,500,552,572,664,536,481,485,559,556,543,534,470,538,504,502,629,531,464,524,2,92,98,91,88,97,90,3,20,717,475,692])).
% 31.65/31.56 cnf(4877,plain,
% 31.65/31.56 (~E(f41(x48771,f40(x48772,x48773,x48774),x48774,x48775),f33(f48(x48775,a1)))),
% 31.65/31.56 inference(scs_inference,[],[763,337,174,248,751,225,325,117,307,322,4701,345,139,163,4863,146,761,4766,739,727,149,759,4754,147,4793,150,233,234,259,161,353,352,736,160,361,364,165,169,113,154,349,4547,2801,4525,4620,4580,4111,4533,3880,4588,4584,4414,4775,4501,4485,4416,4493,4509,1765,4799,2396,4412,4572,4523,3439,3010,929,4044,3459,4055,4057,3863,4052,3543,3884,1412,3538,3239,3739,3113,939,947,4844,155,667,703,702,479,560,463,522,561,511,506,588,471,466,604,627,580,567,583,519,605,628,497,592,461,546,570,658,654,493,457,416,553,533,530,491,436,532,480,555,645,508,617,535,469,492,500,552,572,664,536,481,485,559,556,543,534,470,538,504,502,629,531,464,524,2,92,98,91,88,97,90,3,20,717,475,692,565])).
% 31.65/31.56 cnf(4885,plain,
% 31.65/31.56 (P14(f39(x48851,f2(f2(f2(f2(f2(f2(f40(x48851,x48852,a45))))))),a45))),
% 31.65/31.56 inference(scs_inference,[],[763,337,174,248,751,225,325,117,307,322,4701,345,139,163,4863,146,761,4766,739,727,149,759,4754,147,4793,150,233,234,259,161,353,352,736,160,361,364,165,169,113,154,349,4547,2801,4525,4620,4580,4111,4533,3880,4588,4584,4414,4775,4501,4485,4416,4493,4509,1765,4799,2396,4412,4572,4523,3439,3010,929,4044,3459,4055,4057,3863,4052,3543,3884,1412,3538,3239,3739,3113,939,947,4844,155,667,703,702,479,560,463,522,561,511,506,588,471,466,604,627,580,567,583,519,605,628,497,592,461,546,570,658,654,493,457,416,553,533,530,491,436,532,480,555,645,508,617,535,469,492,500,552,572,664,536,481,485,559,556,543,534,470,538,504,502,629,531,464,524,2,92,98,91,88,97,90,3,20,717,475,692,565,598,468,620,521])).
% 31.65/31.56 cnf(4891,plain,
% 31.65/31.56 (P14(f39(x48911,f3(f40(x48911,x48912,a45)),a45))),
% 31.65/31.56 inference(rename_variables,[],[3113])).
% 31.65/31.56 cnf(4893,plain,
% 31.65/31.56 (~P6(f6(f3(f41(a24,f40(f32(a34,a52),x48931,a47),a47,a45)),f9(a16,a50),f48(a45,a1)),f3(f9(a16,a50)),f48(a45,a1))),
% 31.65/31.56 inference(scs_inference,[],[763,337,174,248,751,225,325,117,307,322,4701,345,139,163,4863,146,761,4766,739,727,235,149,759,4754,147,4793,150,233,234,259,161,4821,353,352,736,160,361,364,165,169,113,154,349,4547,2801,4525,4620,4580,4111,4533,3880,4588,4584,4414,4775,4501,4485,4416,4493,4509,1765,4799,2396,4412,4572,4523,3439,3010,929,4044,3459,4055,4057,3863,4052,3543,3884,1412,3538,3239,3739,3113,4758,939,947,4844,155,667,703,702,479,560,463,522,561,511,506,588,471,466,604,627,580,567,583,519,605,628,497,592,461,546,570,658,654,493,457,416,553,533,530,491,436,532,480,555,645,508,617,535,469,492,500,552,572,664,536,481,485,559,556,543,534,470,538,504,502,629,531,464,524,2,92,98,91,88,97,90,3,20,717,475,692,565,598,468,620,521,488,551,594])).
% 31.65/31.56 cnf(4910,plain,
% 31.65/31.56 (~P14(f39(f22(f32(a34,a17),x49101),f26(f2(f9(a16,f4(a29)))),a45))),
% 31.65/31.56 inference(scs_inference,[],[763,337,174,248,751,225,325,117,307,322,4701,374,345,139,163,4863,146,761,4766,739,727,235,149,759,4754,147,4793,150,233,234,259,161,4821,353,352,736,160,361,364,363,165,4747,169,113,154,349,4547,2801,4246,4525,3860,4620,4580,4111,3182,4533,3880,4588,4584,4414,4775,4501,4570,4485,4416,4493,4509,1765,4799,2396,4412,4572,4523,3439,3010,929,4044,4017,3459,4055,4057,4811,3863,4052,3543,3884,1412,3538,3239,3739,3113,4758,939,947,4844,155,667,703,702,479,560,463,522,561,511,506,588,471,466,604,627,580,567,583,519,605,628,497,592,461,546,570,658,654,493,457,416,553,533,530,491,436,532,480,555,645,508,617,535,469,492,500,552,572,664,536,481,485,559,556,543,534,470,538,504,502,629,531,464,524,2,92,98,91,88,97,90,3,20,717,475,692,565,598,468,620,521,488,551,594,590,487,640,625,607,4,587])).
% 31.65/31.56 cnf(4913,plain,
% 31.65/31.56 (P14(f39(f25(f23(a55),f25(f21(a53),f25(f32(a24,a51),a56))),f3(f40(f32(a24,f32(a18,f32(a34,a52))),f6(x49131,f9(a16,a50),f48(a45,a1)),a45)),a45))),
% 31.65/31.56 inference(scs_inference,[],[763,337,174,248,751,225,325,117,307,322,4701,374,345,139,163,4863,146,761,4766,739,727,235,149,759,4754,147,4793,150,233,234,259,161,4821,353,352,736,160,361,364,363,165,4747,169,113,154,349,4547,2801,4246,4525,3860,4620,4580,4111,3182,4533,3880,4588,4584,4414,4775,4501,4570,4485,4416,4493,4509,1765,4799,2396,4412,4572,4523,3439,3010,929,4044,4017,3459,4055,4057,4811,3863,4052,3543,3884,1412,3538,3239,3043,3739,3113,4758,4891,939,947,4844,155,667,703,702,479,560,463,522,561,511,506,588,471,466,604,627,580,567,583,519,605,628,497,592,461,546,570,658,654,493,457,416,553,533,530,491,436,532,480,555,645,508,617,535,469,492,500,552,572,664,536,481,485,559,556,543,534,470,538,504,502,629,531,464,524,2,92,98,91,88,97,90,3,20,717,475,692,565,598,468,620,521,488,551,594,590,487,640,625,607,4,587,615])).
% 31.65/31.56 cnf(4919,plain,
% 31.65/31.56 (~P6(f6(f33(f48(a45,a1)),f6(f3(f41(a24,f40(f32(a34,a52),x49191,a47),a47,a45)),f9(a16,a50),f48(a45,a1)),f48(a45,a1)),f9(a16,a50),f48(a45,a1))),
% 31.65/31.56 inference(scs_inference,[],[763,337,174,248,751,225,325,117,307,322,4701,374,345,139,163,4863,146,761,4766,739,727,235,149,759,4754,147,4793,150,233,234,259,161,4821,353,731,352,736,160,361,364,363,165,4747,169,113,154,349,4547,2801,4246,4525,3860,4620,4580,4111,3182,4533,3880,4588,4584,4414,4775,4501,4570,4485,4416,4493,4509,1765,4799,2396,4412,4572,4523,3439,3010,929,4044,4017,3459,4055,4057,4811,3863,4052,3543,3884,1412,3538,3239,3043,3739,3113,4758,4891,939,947,4844,155,667,703,702,479,560,463,522,561,511,506,588,471,466,604,627,580,567,583,519,605,628,497,592,461,546,570,658,654,493,457,416,553,533,530,491,436,532,480,555,645,508,617,535,469,492,500,552,572,664,536,481,485,559,556,543,534,470,538,504,502,629,531,464,524,2,92,98,91,88,97,90,3,20,717,475,692,565,598,468,620,521,488,551,594,590,487,640,625,607,4,587,615,96,462])).
% 31.65/31.56 cnf(4921,plain,
% 31.65/31.56 (~E(f40(f10(x49211,x49212),f33(f48(x49213,a1)),x49213),f40(f12(x49214,x49215,x49216),f33(f48(x49213,a1)),x49213))),
% 31.65/31.56 inference(scs_inference,[],[763,337,174,248,751,225,325,117,307,322,4701,374,345,139,163,4863,146,761,4766,739,727,235,149,759,4754,147,4793,150,233,234,259,161,4821,353,731,352,736,160,361,364,363,165,4747,169,113,154,349,4547,2801,4246,4525,3860,4620,4580,4111,3182,4533,3880,4588,4584,4414,4775,4501,4570,4485,4416,4493,4509,1765,4799,2396,4412,4572,4523,3439,3010,929,4044,4017,3459,4055,4057,4811,3863,4052,3543,3884,1412,3538,3239,3043,3739,3113,4758,4891,939,947,4844,155,667,703,702,479,560,463,522,561,511,506,588,471,466,604,627,580,567,583,519,605,628,497,592,461,546,570,658,654,493,457,416,553,533,530,491,436,532,480,555,645,508,617,535,469,492,500,552,572,664,536,481,485,559,556,543,534,470,538,504,502,629,531,464,524,2,92,98,91,88,97,90,3,20,717,475,692,565,598,468,620,521,488,551,594,590,487,640,625,607,4,587,615,96,462,32])).
% 31.65/31.56 cnf(4922,plain,
% 31.65/31.56 (~E(f19(f25(f10(x49221,x49222),x49223)),f19(f25(f12(x49224,x49225,x49226),x49223)))),
% 31.65/31.56 inference(scs_inference,[],[763,337,174,248,751,225,325,117,307,322,4701,374,345,139,163,4863,146,761,4766,739,727,235,149,759,4754,147,4793,150,233,234,259,161,4821,353,731,352,736,160,361,364,363,165,4747,169,113,154,349,4547,2801,4246,4525,3860,4620,4580,4111,3182,4533,3880,4588,4584,4414,4775,4501,4570,4485,4416,4493,4509,1765,4799,2396,4412,4572,4523,3439,3010,929,4044,4017,3459,4055,4057,4811,3863,4052,3543,3884,1412,3538,3239,3043,3739,3113,4758,4891,939,947,4844,155,667,703,702,479,560,463,522,561,511,506,588,471,466,604,627,580,567,583,519,605,628,497,592,461,546,570,658,654,493,457,416,553,533,530,491,436,532,480,555,645,508,617,535,469,492,500,552,572,664,536,481,485,559,556,543,534,470,538,504,502,629,531,464,524,2,92,98,91,88,97,90,3,20,717,475,692,565,598,468,620,521,488,551,594,590,487,640,625,607,4,587,615,96,462,32,14])).
% 31.65/31.56 cnf(4930,plain,
% 31.65/31.56 (~P14(f39(f25(f19(f25(f25(f19(f25(f32(a24,a51),x49301)),x49301),x49302)),x49302),f26(f3(f33(f48(a45,a1)))),a45))),
% 31.65/31.56 inference(scs_inference,[],[763,337,174,248,751,225,325,117,307,322,4701,374,345,139,163,4863,146,761,4766,739,727,235,149,759,4754,147,4793,150,233,234,259,161,4821,353,731,352,736,281,160,361,364,363,165,4747,169,113,154,349,4547,2801,4246,4525,3860,4620,4580,4111,3182,4533,3880,4588,4584,4414,4775,4501,4570,4485,4416,4493,4509,1765,4799,2396,4412,4572,4523,3439,3010,929,4044,4017,3459,4055,4057,4811,3863,4052,3543,3884,1412,3538,3239,3043,3739,791,3113,4758,4891,939,947,4844,229,155,667,703,702,479,560,463,522,561,511,506,588,471,466,604,627,580,567,583,519,605,628,497,592,461,546,570,658,654,493,457,416,553,533,530,491,436,532,480,555,645,508,617,535,469,492,500,552,572,664,536,481,485,559,556,543,534,470,538,504,502,629,531,464,524,2,92,98,91,88,97,90,3,20,717,475,692,565,598,468,620,521,488,551,594,590,487,640,625,607,4,587,615,96,462,32,14,665,690,722,634])).
% 31.65/31.56 cnf(4938,plain,
% 31.65/31.56 (~E(f5(x49381,f14(x49382,f4(x49383),x49384),x49383),x49381)),
% 31.65/31.56 inference(rename_variables,[],[742])).
% 31.65/31.56 cnf(4940,plain,
% 31.65/31.56 (P6(f3(f6(x49401,x49402,f48(a45,a1))),f3(f6(x49401,f6(f6(x49403,x49402,f48(a45,a1)),f6(x49403,x49402,f48(a45,a1)),f48(a45,a1)),f48(a45,a1))),f48(a45,a1))),
% 31.65/31.56 inference(scs_inference,[],[742,145,4555,4242,425,630])).
% 31.65/31.56 cnf(4941,plain,
% 31.65/31.56 (P6(x49411,x49411,f48(x49412,a1))),
% 31.65/31.56 inference(rename_variables,[],[145])).
% 31.65/31.56 cnf(4943,plain,
% 31.65/31.56 (~P11(f48(a45,a1))),
% 31.65/31.56 inference(scs_inference,[],[742,145,4555,4242,4335,1612,425,630,430])).
% 31.65/31.56 cnf(4948,plain,
% 31.65/31.56 (P6(f32(f3(f40(f22(x49481,x49482),x49483,a45)),x49484),f32(f40(f22(x49481,x49482),f3(f40(x49482,x49483,a45)),a45),x49484),a1)),
% 31.65/31.56 inference(scs_inference,[],[299,115,742,277,145,4555,4242,4335,1612,425,630,430,619,483])).
% 31.65/31.56 cnf(4950,plain,
% 31.65/31.56 (~E(f40(f19(x49501),f40(f19(x49501),f33(f48(x49502,a1)),x49502),x49502),f40(x49503,f40(f32(a24,x49504),f33(f48(x49502,a1)),x49502),x49502))),
% 31.65/31.56 inference(scs_inference,[],[299,115,742,277,145,4555,4242,4335,1612,425,630,430,619,483,620])).
% 31.65/31.56 cnf(4953,plain,
% 31.65/31.56 (P14(f39(x49531,f7(f5(x49532,f14(f11(x49533,x49531),x49534,a29),a29)),a45))),
% 31.65/31.56 inference(rename_variables,[],[765])).
% 31.65/31.56 cnf(4956,plain,
% 31.65/31.56 (P14(f39(f21(x49561),f26(x49562),a45))),
% 31.65/31.56 inference(rename_variables,[],[165])).
% 31.65/31.56 cnf(4957,plain,
% 31.65/31.56 (P14(f39(f25(f21(a53),f25(f32(a24,a51),a56)),f2(f40(x49571,f6(f6(f9(a16,a50),f9(a16,a50),f48(a45,a1)),f6(x49572,f9(a16,a50),f48(a45,a1)),f48(a45,a1)),a45)),a45))),
% 31.65/31.56 inference(rename_variables,[],[4727])).
% 31.65/31.56 cnf(4966,plain,
% 31.65/31.56 (P14(f39(x49661,f15(f5(x49662,f14(x49661,x49663,x49664),x49664),x49664),x49664))),
% 31.65/31.56 inference(rename_variables,[],[281])).
% 31.65/31.56 cnf(4969,plain,
% 31.65/31.56 (~P6(f26(f2(f9(a16,a50))),f40(f21(x49691),f9(a16,f4(a29)),a45),f48(a45,a1))),
% 31.65/31.56 inference(scs_inference,[],[299,765,309,115,742,277,145,4941,281,363,165,169,4555,4242,4335,4735,4727,4447,1612,425,630,430,619,483,620,577,660,468,581,702,463])).
% 31.65/31.56 cnf(4971,plain,
% 31.65/31.56 (E(f3(f6(f20(f40(f21(x49711),x49712,a45)),f20(f40(f21(x49711),x49712,a45)),f48(a45,a1))),f3(f6(f20(x49712),f20(x49712),f48(a45,a1))))),
% 31.65/31.56 inference(scs_inference,[],[299,765,309,115,742,277,145,4941,281,363,165,169,4555,4242,4376,4335,4735,4727,4447,1612,425,630,430,619,483,620,577,660,468,581,702,463,509])).
% 31.65/31.56 cnf(4977,plain,
% 31.65/31.56 (~P14(f39(f25(f32(a24,a51),x49771),f26(f3(f33(f48(a45,a1)))),a45))),
% 31.65/31.56 inference(scs_inference,[],[299,765,309,115,742,277,145,4941,281,363,165,169,4555,4242,4376,4335,4777,4735,4727,4447,4211,1612,425,630,430,619,483,620,577,660,468,581,702,463,509,521,459,506])).
% 31.65/31.56 cnf(4985,plain,
% 31.65/31.56 (P14(f39(x49851,f3(f3(f40(f25(x49852,x49851),x49853,a45))),a45))),
% 31.65/31.56 inference(scs_inference,[],[299,765,335,309,115,742,277,145,4941,281,363,165,169,113,4555,4242,4376,4335,4777,4774,4735,4727,3502,4447,4211,1612,3739,425,630,430,619,483,620,577,660,468,581,702,463,509,521,459,506,434,701,594,522])).
% 31.65/31.56 cnf(4987,plain,
% 31.65/31.56 (~P6(f26(f26(f2(f9(a16,a50)))),f26(f9(a16,f4(a29))),f48(a45,a1))),
% 31.65/31.56 inference(scs_inference,[],[299,765,335,309,115,742,277,145,4941,281,363,165,169,113,4555,4242,4376,4744,4335,4777,4774,4735,4727,3502,4447,4211,1612,3739,425,630,430,619,483,620,577,660,468,581,702,463,509,521,459,506,434,701,594,522,471])).
% 31.65/31.56 cnf(4989,plain,
% 31.65/31.56 (P14(f39(f25(f23(a55),f25(f21(a53),f25(f32(a24,a51),a56))),f3(f6(f41(a24,f41(a18,f35(f48(x49891,a1)),x49891,a47),a47,a45),f9(a16,a50),f48(a45,a1))),a45))),
% 31.65/31.56 inference(scs_inference,[],[299,765,335,309,115,742,277,145,4941,281,363,165,169,113,4555,4242,4376,4744,4335,4777,4774,4735,4727,4913,3502,4447,4211,1612,3652,3739,425,630,430,619,483,620,577,660,468,581,702,463,509,521,459,506,434,701,594,522,471,638])).
% 31.65/31.56 cnf(4998,plain,
% 31.65/31.56 (P9(f48(x49981,a1))),
% 31.65/31.56 inference(rename_variables,[],[947])).
% 31.65/31.56 cnf(5013,plain,
% 31.65/31.56 (P14(f39(x50131,f7(f5(x50132,f14(f11(x50133,x50131),x50134,a29),a29)),a45))),
% 31.65/31.56 inference(rename_variables,[],[765])).
% 31.65/31.56 cnf(5016,plain,
% 31.65/31.56 (P6(f3(f40(f22(x50161,x50162),x50163,a45)),f40(f22(x50161,x50162),f3(f40(x50162,x50163,a45)),a45),f48(a45,a1))),
% 31.65/31.56 inference(rename_variables,[],[277])).
% 31.65/31.56 cnf(5025,plain,
% 31.65/31.56 (~P14(f39(f22(x50251,f23(x50252)),f2(f6(f2(f6(f3(f9(x50253,f4(a29))),f3(f9(x50253,f4(a29))),f48(a45,a1))),f2(f6(f3(f9(x50253,f4(a29))),f3(f9(x50253,f4(a29))),f48(a45,a1))),f48(a45,a1))),a45))),
% 31.65/31.56 inference(scs_inference,[],[299,765,4953,753,335,309,115,742,277,258,145,4941,179,281,363,165,169,113,154,4555,4242,4376,4744,4801,4335,4771,4777,4774,4735,4746,4727,4913,4517,4731,4171,4789,3502,4447,4211,4179,1612,3652,3739,3113,947,425,630,430,619,483,620,577,660,468,581,702,463,509,521,459,506,434,701,594,522,471,638,627,580,519,567,625,628,461,497,592,570,546,658,654])).
% 31.65/31.56 cnf(5032,plain,
% 31.65/31.56 (P14(f39(x50321,f26(f7(f5(x50322,f14(f11(x50323,x50321),x50324,a29),a29))),a45))),
% 31.65/31.56 inference(scs_inference,[],[299,765,4953,5013,753,335,309,115,742,277,5016,258,145,4941,179,281,363,165,169,113,154,4555,4922,4242,4376,4744,4801,4335,4771,4777,4774,4735,4746,4727,4913,4517,4731,4171,4789,3502,4447,4211,4179,1612,3652,3739,3113,947,425,630,430,619,483,620,577,660,468,581,702,463,509,521,459,506,434,701,594,522,471,638,627,580,519,567,625,628,461,497,592,570,546,658,654,24,416,462,493])).
% 31.65/31.56 cnf(5034,plain,
% 31.65/31.56 (P14(f39(x50341,f3(f40(x50342,f3(f40(x50341,x50343,a45)),a45)),a45))),
% 31.65/31.56 inference(scs_inference,[],[299,765,4953,5013,753,335,309,115,742,277,5016,258,145,4941,234,179,281,363,165,169,113,154,4555,4922,4242,4376,4744,4801,4335,4771,4777,4774,4735,4746,4727,4913,4740,4517,4731,4171,4789,3502,4447,4211,4179,1612,3652,3739,3113,947,425,630,430,619,483,620,577,660,468,581,702,463,509,521,459,506,434,701,594,522,471,638,627,580,519,567,625,628,461,497,592,570,546,658,654,24,416,462,493,553])).
% 31.65/31.56 cnf(5037,plain,
% 31.65/31.56 (~P6(f40(f12(x50371,x50372,f32(a24,a51)),x50373,x50374),f15(a50,a29),f48(x50375,a1))),
% 31.65/31.56 inference(scs_inference,[],[299,765,4953,5013,753,335,309,115,742,277,5016,258,145,4941,234,179,197,281,363,165,169,113,154,4555,4922,4781,4242,4376,4744,4801,4335,4771,4777,4774,4735,4746,4727,4913,4740,4517,4731,4171,4789,3502,4447,4211,4179,1612,3652,3739,3113,947,425,630,430,619,483,620,577,660,468,581,702,463,509,521,459,506,434,701,594,522,471,638,627,580,519,567,625,628,461,497,592,570,546,658,654,24,416,462,493,553,457])).
% 31.65/31.56 cnf(5040,plain,
% 31.65/31.56 (P14(f39(x50401,f2(f2(f2(f2(f2(f2(f2(f40(f22(x50402,x50401),x50403,a45)))))))),a45))),
% 31.65/31.56 inference(scs_inference,[],[299,765,4953,5013,753,335,309,115,742,277,5016,258,145,4941,234,179,197,281,363,165,169,113,154,4555,4922,4781,4242,4376,4744,4801,4335,4840,4771,4777,4774,4735,4746,4727,4913,4740,4517,4731,4171,4789,3502,4447,4211,4179,1612,3652,3739,3113,947,425,630,430,619,483,620,577,660,468,581,702,463,509,521,459,506,434,701,594,522,471,638,627,580,519,567,625,628,461,497,592,570,546,658,654,24,416,462,493,553,457,530])).
% 31.65/31.56 cnf(5041,plain,
% 31.65/31.56 (P14(f39(x50411,f2(f2(f2(f2(f2(f2(f2(f40(x50411,x50412,a45)))))))),a45))),
% 31.65/31.56 inference(rename_variables,[],[4840])).
% 31.65/31.56 cnf(5045,plain,
% 31.65/31.56 (P14(f39(x50451,f3(f6(x50452,f3(f3(f40(f25(x50453,x50451),x50454,a45))),f48(a45,a1))),a45))),
% 31.65/31.56 inference(scs_inference,[],[299,765,4953,5013,753,335,309,115,742,277,5016,258,145,4941,234,179,197,281,363,165,169,113,154,4555,4922,4781,4242,4376,4744,4801,4335,4840,4729,4771,4777,4774,4735,4746,4727,4913,4740,4517,4731,4171,4789,3502,4447,4211,4179,1612,3652,3739,3113,947,425,630,430,619,483,620,577,660,468,581,702,463,509,521,459,506,434,701,594,522,471,638,627,580,519,567,625,628,461,497,592,570,546,658,654,24,416,462,493,553,457,530,491,533])).
% 31.65/31.56 cnf(5046,plain,
% 31.65/31.56 (P14(f39(x50461,f3(f6(x50462,f3(f3(f40(x50461,x50463,a45))),f48(a45,a1))),a45))),
% 31.65/31.56 inference(rename_variables,[],[4729])).
% 31.65/31.56 cnf(5048,plain,
% 31.65/31.56 (P14(f39(f32(a24,a51),f2(f6(f6(f9(a16,a50),f9(a16,a50),f48(a45,a1)),f6(x50481,f9(a16,a50),f48(a45,a1)),f48(a45,a1))),a45))),
% 31.65/31.56 inference(scs_inference,[],[299,765,4953,5013,753,335,309,115,742,277,5016,258,145,4941,234,179,197,281,363,165,169,113,154,4555,4922,4781,4242,4376,4744,4801,4335,4852,4840,4729,4771,4777,4774,4735,4746,4727,4913,4740,4517,4731,4171,4789,3502,4447,4211,4179,1612,3652,3739,3113,947,425,630,430,619,483,620,577,660,468,581,702,463,509,521,459,506,434,701,594,522,471,638,627,580,519,567,625,628,461,497,592,570,546,658,654,24,416,462,493,553,457,530,491,533,532])).
% 31.65/31.56 cnf(5050,plain,
% 31.65/31.56 (~P6(f6(x50501,f6(f33(f48(a45,a1)),f6(f3(f41(a24,f40(f32(a34,a52),x50502,a47),a47,a45)),f9(a16,a50),f48(a45,a1)),f48(a45,a1)),f48(a45,a1)),f9(a16,a50),f48(a45,a1))),
% 31.65/31.56 inference(scs_inference,[],[299,765,4953,5013,753,335,309,115,742,277,5016,258,192,145,4941,234,179,197,281,363,165,169,113,154,4555,4922,4781,4242,4919,4376,4744,4801,4335,4852,4840,4729,4771,4777,4774,4735,4746,4727,4913,4740,4517,4731,4171,4789,3502,4447,4211,4179,1612,3652,3739,3113,947,425,630,430,619,483,620,577,660,468,581,702,463,509,521,459,506,434,701,594,522,471,638,627,580,519,567,625,628,461,497,592,570,546,658,654,24,416,462,493,553,457,530,491,533,532,508])).
% 31.65/31.56 cnf(5051,plain,
% 31.65/31.56 (P6(x50511,f6(x50512,x50511,f48(x50513,a1)),f48(x50513,a1))),
% 31.65/31.56 inference(rename_variables,[],[192])).
% 31.65/31.56 cnf(5053,plain,
% 31.65/31.56 (~P14(f32(f15(f4(a29),a29),f12(x50531,x50532,f23(x50533))))),
% 31.65/31.56 inference(scs_inference,[],[299,765,4953,5013,753,335,309,115,742,277,5016,258,192,145,4941,234,179,197,281,363,165,169,113,154,4555,4922,4781,4242,4919,4376,4744,4801,4335,4852,4840,4729,4771,4777,4774,4735,4746,4727,4913,4740,4517,4731,4171,4789,3502,4447,4211,4179,1612,3652,3739,3113,947,425,630,430,619,483,620,577,660,468,581,702,463,509,521,459,506,434,701,594,522,471,638,627,580,519,567,625,628,461,497,592,570,546,658,654,24,416,462,493,553,457,530,491,533,532,508,436])).
% 31.65/31.56 cnf(5059,plain,
% 31.65/31.56 (P14(f39(x50591,f7(f5(x50592,f14(f11(x50593,f25(x50594,f25(x50591,x50595))),x50596,a29),a29)),a45))),
% 31.65/31.56 inference(rename_variables,[],[2358])).
% 31.65/31.56 cnf(5062,plain,
% 31.65/31.56 (P6(x50621,f6(x50622,x50621,f48(x50623,a1)),f48(x50623,a1))),
% 31.65/31.56 inference(rename_variables,[],[192])).
% 31.65/31.56 cnf(5065,plain,
% 31.65/31.56 (~P14(f39(f25(x50651,f25(f32(a24,f32(a34,a52)),x50652)),f3(f9(a16,f4(a29))),a45))),
% 31.65/31.56 inference(scs_inference,[],[299,765,4953,5013,753,335,309,115,742,277,5016,258,192,5051,145,4941,234,179,197,281,363,165,169,113,154,349,4555,4922,4781,4242,4919,4376,4744,4801,4335,4852,4552,4840,4729,4771,4777,4774,4735,4746,4727,4913,4740,2358,4517,4731,4171,4789,3502,4447,4211,4179,1612,3652,2147,3739,3113,943,947,425,630,430,619,483,620,577,660,468,581,702,463,509,521,459,506,434,701,594,522,471,638,627,580,519,567,625,628,461,497,592,570,546,658,654,24,416,462,493,553,457,530,491,533,532,508,436,617,535,480,492])).
% 31.65/31.56 cnf(5067,plain,
% 31.65/31.56 (~P6(f2(f2(f2(f2(f2(f2(f40(f23(x50671),x50672,a45))))))),f2(f9(x50673,f4(a29))),f48(a45,a1))),
% 31.65/31.56 inference(scs_inference,[],[299,765,4953,5013,753,335,309,115,742,277,5016,258,192,5051,145,4941,234,179,197,281,361,363,165,169,113,154,349,4555,4922,4781,4242,4919,4376,4744,4801,4335,4852,4552,4840,5041,4729,4771,4777,4774,4735,4746,4727,4913,4740,2358,4517,4731,4171,4789,3502,4447,4211,4179,1612,3652,2147,3739,3113,943,947,425,630,430,619,483,620,577,660,468,581,702,463,509,521,459,506,434,701,594,522,471,638,627,580,519,567,625,628,461,497,592,570,546,658,654,24,416,462,493,553,457,530,491,533,532,508,436,617,535,480,492,552])).
% 31.65/31.56 cnf(5073,plain,
% 31.65/31.56 (P6(x50731,f6(x50732,x50731,f48(x50733,a1)),f48(x50733,a1))),
% 31.65/31.56 inference(rename_variables,[],[192])).
% 31.65/31.56 cnf(5075,plain,
% 31.65/31.56 (P14(f39(f25(f21(a53),f25(f32(a24,a51),a56)),f2(f6(f6(f6(f9(a16,a50),f9(a16,a50),f48(a45,a1)),f6(x50751,f9(a16,a50),f48(a45,a1)),f48(a45,a1)),f6(f6(f9(a16,a50),f9(a16,a50),f48(a45,a1)),f6(x50752,f9(a16,a50),f48(a45,a1)),f48(a45,a1)),f48(a45,a1))),a45))),
% 31.65/31.56 inference(scs_inference,[],[299,765,4953,5013,753,335,309,115,742,277,5016,258,192,5051,5062,145,4941,234,179,197,281,361,363,165,169,113,154,349,4555,4591,4922,4781,4242,4919,4376,4744,4801,4335,4852,4552,4840,5041,4729,4771,4777,4774,4735,4746,4727,4957,4913,4740,2358,4517,4731,4171,4789,3502,4447,4211,4179,1612,3652,2147,3739,3113,943,947,425,630,430,619,483,620,577,660,468,581,702,463,509,521,459,506,434,701,594,522,471,638,627,580,519,567,625,628,461,497,592,570,546,658,654,24,416,462,493,553,457,530,491,533,532,508,436,617,535,480,492,552,555,645,664])).
% 31.65/31.56 cnf(5083,plain,
% 31.65/31.56 (P6(x50831,f2(f6(x50832,x50831,f48(a45,a1))),f48(a45,a1))),
% 31.65/31.56 inference(rename_variables,[],[2841])).
% 31.65/31.56 cnf(5096,plain,
% 31.65/31.56 (E(f40(x50961,f9(x50962,f14(f11(x50962,x50963),x50964,a29)),x50965),f40(x50961,f40(x50963,f9(x50962,x50964),a45),x50965))),
% 31.65/31.56 inference(scs_inference,[],[299,198,765,4953,5013,753,335,309,115,742,277,5016,258,192,5051,5062,149,145,4941,234,179,161,197,281,361,363,165,169,113,154,349,4555,4591,2841,4922,4781,4242,4919,4376,4744,4801,4335,4877,4852,4552,4840,5041,4729,4771,4777,4774,4735,4746,4727,4957,4913,4740,2358,5059,4517,4731,4171,4789,2029,3502,4447,4211,4179,1612,3652,2147,3739,3113,943,939,947,425,630,430,619,483,620,577,660,468,581,702,463,509,521,459,506,434,701,594,522,471,638,627,580,519,567,625,628,461,497,592,570,546,658,654,24,416,462,493,553,457,530,491,533,532,508,436,617,535,480,492,552,555,645,664,481,469,536,485,500,559,32])).
% 31.65/31.56 cnf(5101,plain,
% 31.65/31.56 (P6(x51011,f3(f6(f6(x51012,x51011,f48(a45,a1)),f6(x51012,x51011,f48(a45,a1)),f48(a45,a1))),f48(a45,a1))),
% 31.65/31.56 inference(scs_inference,[],[299,198,765,4953,5013,753,335,309,115,742,277,5016,258,192,5051,5062,149,145,4941,234,179,161,197,281,4966,361,363,165,169,113,154,349,4555,4591,2841,4922,4781,4242,4919,4376,4744,4801,4335,4877,4852,4552,4840,5041,4729,4771,4777,4774,4735,4746,4727,4957,4913,4740,2358,5059,4517,4731,4171,4789,2029,3502,4447,4211,4179,1612,4235,3652,2147,3739,3113,943,939,947,425,630,430,619,483,620,577,660,468,581,702,463,509,521,459,506,434,701,594,522,471,638,627,580,519,567,625,628,461,497,592,570,546,658,654,24,416,462,493,553,457,530,491,533,532,508,436,617,535,480,492,552,555,645,664,481,469,536,485,500,559,32,572,470])).
% 31.65/31.56 cnf(5106,plain,
% 31.65/31.56 (P9(f48(x51061,a1))),
% 31.65/31.56 inference(rename_variables,[],[947])).
% 31.65/31.56 cnf(5117,plain,
% 31.65/31.56 (P14(f39(x51171,f3(f6(x51172,f3(f3(f40(x51171,x51173,a45))),f48(a45,a1))),a45))),
% 31.65/31.56 inference(rename_variables,[],[4729])).
% 31.65/31.56 cnf(5122,plain,
% 31.65/31.56 (P9(f48(x51221,a1))),
% 31.65/31.56 inference(rename_variables,[],[947])).
% 31.65/31.56 cnf(5125,plain,
% 31.65/31.56 (P14(f39(x51251,f3(f6(x51252,f3(f3(f40(x51251,x51253,a45))),f48(a45,a1))),a45))),
% 31.65/31.56 inference(rename_variables,[],[4729])).
% 31.65/31.56 cnf(5135,plain,
% 31.65/31.56 (P6(x51351,f6(x51352,x51351,f48(x51353,a1)),f48(x51353,a1))),
% 31.65/31.56 inference(rename_variables,[],[192])).
% 31.65/31.56 cnf(5137,plain,
% 31.65/31.56 (P3(f40(x51371,f9(x51372,x51373),a45),f9(x51372,f14(f11(x51372,x51371),x51373,a29)),x51374)),
% 31.65/31.56 inference(scs_inference,[],[299,198,765,4953,5013,753,335,309,115,742,277,5016,258,192,5051,5062,5073,149,133,145,4941,234,179,161,197,148,281,4966,361,363,165,169,113,154,349,4555,4591,3784,2841,5083,4922,4781,4387,4242,4919,4376,4744,4801,4335,4877,4852,4552,4840,5041,4729,5046,5117,4771,4777,4774,4735,4746,4727,4957,4913,4740,2358,5059,4517,4731,4171,4789,4875,2029,3502,4447,4211,4179,1612,4235,3652,2147,3739,3113,943,939,947,4998,5106,425,630,430,619,483,620,577,660,468,581,702,463,509,521,459,506,434,701,594,522,471,638,627,580,519,567,625,628,461,497,592,570,546,658,654,24,416,462,493,553,457,530,491,533,532,508,436,617,535,480,492,552,555,645,664,481,469,536,485,500,559,32,572,470,538,504,556,14,543,534,531,502,629,524,464,2,92,97])).
% 31.65/31.56 cnf(5138,plain,
% 31.65/31.56 (P3(x51381,x51381,x51382)),
% 31.65/31.56 inference(rename_variables,[],[133])).
% 31.65/31.56 cnf(5139,plain,
% 31.65/31.56 (P3(f9(x51391,f14(f11(x51391,x51392),x51393,a29)),f40(x51392,f9(x51391,x51393),a45),x51394)),
% 31.65/31.56 inference(scs_inference,[],[299,198,765,4953,5013,753,335,309,115,742,277,5016,258,192,5051,5062,5073,149,133,5138,145,4941,234,179,161,197,148,281,4966,361,363,165,169,113,154,349,4555,4591,3784,2841,5083,4922,4781,4387,4242,4919,4376,4744,4801,4335,4877,4852,4552,4840,5041,4729,5046,5117,4771,4777,4774,4735,4746,4727,4957,4913,4740,2358,5059,4517,4731,4171,4789,4875,2029,3502,4447,4211,4179,1612,4235,3652,2147,3739,3113,943,939,947,4998,5106,425,630,430,619,483,620,577,660,468,581,702,463,509,521,459,506,434,701,594,522,471,638,627,580,519,567,625,628,461,497,592,570,546,658,654,24,416,462,493,553,457,530,491,533,532,508,436,617,535,480,492,552,555,645,664,481,469,536,485,500,559,32,572,470,538,504,556,14,543,534,531,502,629,524,464,2,92,97,98])).
% 31.65/31.56 cnf(5142,plain,
% 31.65/31.56 (E(f9(x51421,f14(f11(x51421,x51422),x51423,a29)),f40(x51422,f9(x51421,x51423),a45))),
% 31.65/31.56 inference(rename_variables,[],[198])).
% 31.65/31.56 cnf(5162,plain,
% 31.65/31.56 (P6(f40(f22(x51621,x51622),f3(f40(x51622,f6(x51623,f3(f3(f40(f32(a24,f32(a18,x51621)),x51624,a45))),f48(a45,a1)),a45)),a45),f3(f40(f22(x51621,x51622),f6(x51623,f3(f3(f40(f32(a24,f32(a18,x51621)),x51624,a45))),f48(a45,a1)),a45)),f48(a45,a1))),
% 31.65/31.56 inference(scs_inference,[],[299,198,5142,765,4953,5013,753,335,309,115,138,742,277,5016,167,258,192,5051,5062,5073,5135,149,133,5138,145,4941,234,179,161,197,148,281,4966,361,364,363,165,4956,169,113,154,349,4555,4591,3784,2841,5083,4922,4781,4387,4528,4242,4919,4376,4744,4801,4335,4877,4852,4552,4840,5041,4729,5046,5117,5125,4771,4777,4774,4735,4746,4727,4957,4913,4740,2358,5059,4517,4731,4254,4171,4789,4875,2029,3502,4447,4211,4179,1090,1612,4235,3652,4361,2147,3739,3113,943,939,947,4998,5106,425,630,430,619,483,620,577,660,468,581,702,463,509,521,459,506,434,701,594,522,471,638,627,580,519,567,625,628,461,497,592,570,546,658,654,24,416,462,493,553,457,530,491,533,532,508,436,617,535,480,492,552,555,645,664,481,469,536,485,500,559,32,572,470,538,504,556,14,543,534,531,502,629,524,464,2,92,97,98,91,88,90,20,3,683,413,496,400,657])).
% 31.65/31.56 cnf(5166,plain,
% 31.65/31.56 (P14(f39(f25(f21(x51661),f21(x51661)),f26(x51662),a45))),
% 31.65/31.56 inference(rename_variables,[],[3027])).
% 31.65/31.56 cnf(5169,plain,
% 31.65/31.56 (P14(f39(f25(f21(x51691),f21(x51691)),f26(x51692),a45))),
% 31.65/31.56 inference(rename_variables,[],[3027])).
% 31.65/31.56 cnf(5177,plain,
% 31.65/31.56 (~E(f5(f5(f4(x51771),f14(x51772,f4(x51773),x51774),x51773),x51775,x51771),x51775)),
% 31.65/31.56 inference(scs_inference,[],[299,198,5142,765,4953,5013,753,335,309,115,138,742,4938,277,5016,167,258,192,5051,5062,5073,5135,149,133,5138,145,4941,234,179,161,197,148,281,4966,361,364,363,165,4956,169,113,154,349,4555,4591,3784,2841,5083,4922,4781,4387,4528,4242,4919,4376,4744,4801,4335,4877,4852,4552,4840,5041,4729,5046,5117,5125,4771,4777,4774,4735,4930,4746,4727,4957,4913,4740,2358,5059,4517,4731,4254,4171,4789,4875,2029,3502,4447,4211,4179,1090,1612,4235,3652,4361,2147,791,3739,3027,5166,5169,3113,943,939,947,4998,5106,425,630,430,619,483,620,577,660,468,581,702,463,509,521,459,506,434,701,594,522,471,638,627,580,519,567,625,628,461,497,592,570,546,658,654,24,416,462,493,553,457,530,491,533,532,508,436,617,535,480,492,552,555,645,664,481,469,536,485,500,559,32,572,470,538,504,556,14,543,534,531,502,629,524,464,2,92,97,98,91,88,90,20,3,683,413,496,400,657,649,626,603,614,420])).
% 31.65/31.56 cnf(5178,plain,
% 31.65/31.56 (~E(f5(x51781,f14(x51782,f4(x51783),x51784),x51783),x51781)),
% 31.65/31.56 inference(rename_variables,[],[742])).
% 31.65/31.56 cnf(5180,plain,
% 31.65/31.56 (P14(f32(f6(f6(f40(x51801,f6(f40(a37,x51802,x51803),f40(a38,x51804,x51805),f48(x51806,a1)),x51807),x51808,f48(x51809,a1)),x518010,f48(x518011,a1)),x518012))),
% 31.65/31.56 inference(scs_inference,[],[299,198,5142,765,4953,5013,753,335,309,115,138,742,4938,277,5016,167,258,192,5051,5062,5073,5135,149,133,5138,145,4941,234,179,161,197,148,281,4966,361,364,363,165,4956,169,113,154,349,4555,4591,3784,2841,5083,4922,4781,4387,4528,4242,4919,4376,4744,4801,4335,4877,4852,4552,4840,5041,4729,5046,5117,5125,4771,4777,4774,4735,4930,4746,4727,4957,4913,4740,2358,5059,4517,4731,4254,4171,4789,4875,2029,3502,4447,4211,4179,1090,1612,4235,3652,4361,2147,791,3739,3027,5166,5169,3113,943,939,947,4998,5106,425,630,430,619,483,620,577,660,468,581,702,463,509,521,459,506,434,701,594,522,471,638,627,580,519,567,625,628,461,497,592,570,546,658,654,24,416,462,493,553,457,530,491,533,532,508,436,617,535,480,492,552,555,645,664,481,469,536,485,500,559,32,572,470,538,504,556,14,543,534,531,502,629,524,464,2,92,97,98,91,88,90,20,3,683,413,496,400,657,649,626,603,614,420,528])).
% 31.65/31.56 cnf(5184,plain,
% 31.65/31.56 (~P14(f39(f19(x51841),f40(f32(a24,x51842),f33(f48(x51843,a1)),x51843),x51843))),
% 31.65/31.56 inference(scs_inference,[],[299,198,5142,765,4953,5013,753,335,309,115,138,742,4938,277,5016,167,258,192,5051,5062,5073,5135,149,133,5138,145,4941,234,179,161,197,148,281,4966,361,364,363,165,4956,169,113,154,349,4555,4591,3784,2841,5083,4922,4781,4387,4528,4242,4919,4376,4744,4801,4335,4877,4852,4552,4840,5041,4729,5046,5117,5125,4771,4777,4774,4735,4930,4746,4727,4957,4913,4740,2358,5059,4517,4731,4254,4171,4789,4875,2029,3502,4447,4211,4179,1090,1612,4235,3652,4361,2147,791,3739,3027,5166,5169,3113,943,939,947,4998,5106,425,630,430,619,483,620,577,660,468,581,702,463,509,521,459,506,434,701,594,522,471,638,627,580,519,567,625,628,461,497,592,570,546,658,654,24,416,462,493,553,457,530,491,533,532,508,436,617,535,480,492,552,555,645,664,481,469,536,485,500,559,32,572,470,538,504,556,14,543,534,531,502,629,524,464,2,92,97,98,91,88,90,20,3,683,413,496,400,657,649,626,603,614,420,528,527,623])).
% 31.65/31.56 cnf(5199,plain,
% 31.65/31.56 (~P6(f2(f2(f2(f2(f2(f40(f23(x51991),x51992,a45)))))),f2(f9(x51993,f4(a29))),f48(a45,a1))),
% 31.65/31.56 inference(scs_inference,[],[299,198,5142,765,4953,5013,753,122,335,309,115,138,742,4938,5178,277,5016,167,258,192,5051,5062,5073,5135,149,133,5138,145,4941,234,179,161,197,148,281,4966,361,364,363,165,4956,169,113,154,349,4555,4591,3784,2841,5083,4922,4781,4387,4528,4242,4919,4376,4744,4801,4335,4877,4852,4552,4840,5041,4729,5046,5117,5125,4771,4777,4774,4735,4828,4930,4746,4727,4957,4913,4740,2358,5059,4517,4731,4254,4171,4789,4875,2029,3502,4447,4211,4179,1090,1612,4235,3652,4361,2147,791,3739,3027,5166,5169,3113,943,939,947,4998,5106,5122,425,630,430,619,483,620,577,660,468,581,702,463,509,521,459,506,434,701,594,522,471,638,627,580,519,567,625,628,461,497,592,570,546,658,654,24,416,462,493,553,457,530,491,533,532,508,436,617,535,480,492,552,555,645,664,481,469,536,485,500,559,32,572,470,538,504,556,14,543,534,531,502,629,524,464,2,92,97,98,91,88,90,20,3,683,413,496,400,657,649,626,603,614,420,528,527,623,548,423,107,582,435,466])).
% 31.65/31.56 cnf(5219,plain,
% 31.65/31.56 (~E(f5(f14(x52191,f4(x52192),x52193),x52194,x52192),x52194)),
% 31.65/31.56 inference(rename_variables,[],[739])).
% 31.65/31.56 cnf(5228,plain,
% 31.65/31.56 (P6(x52281,x52281,f48(x52282,a1))),
% 31.65/31.56 inference(rename_variables,[],[145])).
% 31.65/31.56 cnf(5232,plain,
% 31.65/31.56 (~P11(f32(a18,f32(a18,f48(a45,a1))))),
% 31.65/31.56 inference(scs_inference,[],[733,129,115,739,151,145,4586,4943,4242,2446,1203,426,454,674,630,483,107])).
% 31.65/31.56 cnf(5234,plain,
% 31.65/31.56 (~E(f40(x52341,x52342,x52343),f33(f48(x52343,a1)))),
% 31.65/31.56 inference(rename_variables,[],[345])).
% 31.65/31.56 cnf(5237,plain,
% 31.65/31.56 (P14(f39(x52371,f7(f5(x52372,f14(f11(x52373,x52371),x52374,a29),a29)),a45))),
% 31.65/31.56 inference(rename_variables,[],[765])).
% 31.65/31.56 cnf(5239,plain,
% 31.65/31.56 (~P14(f39(f22(f32(a34,a16),f22(f32(a34,a16),f22(f32(a34,a16),f25(x52391,f25(f32(a24,a51),x52392))))),f3(f9(a16,a50)),a45))),
% 31.65/31.56 inference(scs_inference,[],[765,733,129,345,115,739,151,145,169,4586,4943,4606,4242,2446,1203,1056,953,1441,426,454,674,630,483,107,425,577,616])).
% 31.65/31.56 cnf(5246,plain,
% 31.65/31.56 (E(f3(f6(f6(f20(f40(f21(x52461),x52462,a45)),f20(f40(f21(x52461),x52462,a45)),f48(a45,a1)),f6(f20(f40(f21(x52461),x52462,a45)),f20(f40(f21(x52461),x52462,a45)),f48(a45,a1)),f48(a45,a1))),f3(f6(f6(f20(x52462),f20(x52462),f48(a45,a1)),f6(f20(x52462),f20(x52462),f48(a45,a1)),f48(a45,a1))))),
% 31.65/31.56 inference(scs_inference,[],[300,765,733,129,345,115,739,151,145,169,4586,4943,4971,4606,4242,2446,1203,1056,953,1441,426,454,674,630,483,107,425,577,616,619,463,509])).
% 31.65/31.56 cnf(5248,plain,
% 31.65/31.56 (~P14(f39(f22(x52481,f32(a24,x52482)),f26(f2(f33(f48(a45,a1)))),a45))),
% 31.65/31.56 inference(scs_inference,[],[300,765,733,129,345,115,739,151,145,364,169,4586,4943,4971,4606,1940,4242,2446,1203,1056,953,1441,426,454,674,630,483,107,425,577,616,619,463,509,581])).
% 31.65/31.56 cnf(5251,plain,
% 31.65/31.56 (P14(f39(x52511,f2(f2(f2(f2(f2(f2(f40(f22(x52512,x52511),x52513,a45))))))),a45))),
% 31.65/31.56 inference(scs_inference,[],[300,765,733,129,345,115,739,151,145,364,169,4586,4943,4971,5040,4606,1940,4242,2446,1203,1056,953,1441,426,454,674,630,483,107,425,577,616,619,463,509,581,521])).
% 31.65/31.56 cnf(5255,plain,
% 31.65/31.56 (~P14(f39(f25(x52551,f25(f32(a24,f32(a34,a52)),x52552)),f3(f3(f3(f3(f3(f3(f9(a16,f4(a29)))))))),a45))),
% 31.65/31.56 inference(scs_inference,[],[300,765,733,129,345,115,739,151,145,364,169,4586,4943,4971,4712,5040,4606,1940,4242,2446,1203,1056,953,1441,426,454,674,630,483,107,425,577,616,619,463,509,581,521,594,522])).
% 31.65/31.56 cnf(5260,plain,
% 31.65/31.56 (P9(f48(x52601,a1))),
% 31.65/31.56 inference(rename_variables,[],[947])).
% 31.65/31.56 cnf(5268,plain,
% 31.65/31.56 (P6(x52681,x52681,f48(x52682,a1))),
% 31.65/31.56 inference(rename_variables,[],[145])).
% 31.65/31.56 cnf(5274,plain,
% 31.65/31.56 (P9(f48(x52741,a1))),
% 31.65/31.56 inference(rename_variables,[],[947])).
% 31.65/31.56 cnf(5281,plain,
% 31.65/31.56 (P10(f48(x52811,a1))),
% 31.65/31.56 inference(rename_variables,[],[943])).
% 31.65/31.56 cnf(5286,plain,
% 31.65/31.56 (P14(f39(x52861,f26(f7(f5(x52862,f14(f11(x52863,x52861),x52864,a29),a29))),a45))),
% 31.65/31.56 inference(rename_variables,[],[5032])).
% 31.65/31.56 cnf(5288,plain,
% 31.65/31.56 (P6(f2(f2(f6(x52881,x52882,f48(a45,a1)))),f2(f6(f2(x52881),f2(x52882),f48(a45,a1))),f48(a45,a1))),
% 31.65/31.56 inference(scs_inference,[],[300,765,733,129,345,115,739,151,257,145,5228,179,148,160,364,241,169,4586,4943,4971,4893,4712,5065,5040,5045,5032,4606,4722,1940,4242,2446,1510,1203,1056,953,1441,943,947,5260,426,454,674,630,483,107,425,577,616,619,463,509,581,521,594,522,506,434,471,627,466,638,519,567,453,639,461])).
% 31.65/31.56 cnf(5294,plain,
% 31.65/31.56 (P14(f39(f21(x52941),f26(x52942),a45))),
% 31.65/31.57 inference(rename_variables,[],[165])).
% 31.65/31.57 cnf(5295,plain,
% 31.65/31.57 (P6(x52951,x52951,f48(x52952,a1))),
% 31.65/31.57 inference(rename_variables,[],[145])).
% 31.65/31.57 cnf(5301,plain,
% 31.65/31.57 (~P14(f39(f32(a24,a51),f26(f26(f3(f3(f40(f25(f21(x53011),f21(x53011)),f9(a16,a50),a45))))),a45))),
% 31.65/31.57 inference(scs_inference,[],[300,765,733,129,345,115,739,151,257,145,5228,5268,5295,179,148,160,364,241,165,169,4586,4943,4971,4893,5037,4969,4712,5065,5040,5045,4751,5032,4606,5034,4722,1940,4242,2446,1510,1203,1056,953,1441,943,947,5260,426,454,674,630,483,107,425,577,616,619,463,509,581,521,594,522,506,434,471,627,466,638,519,567,453,639,461,497,658,570,546])).
% 31.65/31.57 cnf(5303,plain,
% 31.65/31.57 (P14(f39(f23(a55),f2(f9(a16,a50)),a45))),
% 31.65/31.57 inference(scs_inference,[],[300,765,733,129,345,115,739,151,257,145,5228,5268,5295,179,148,160,364,241,165,169,4586,4943,4971,4893,5037,4969,4712,5065,5040,5045,4751,5032,4606,5034,3507,4722,1940,4242,2446,1510,1203,1056,953,1441,943,947,5260,426,454,674,630,483,107,425,577,616,619,463,509,581,521,594,522,506,434,471,627,466,638,519,567,453,639,461,497,658,570,546,654])).
% 31.65/31.57 cnf(5305,plain,
% 31.65/31.57 (~P6(f6(x53051,f6(f3(f41(a24,f40(f32(a34,a52),x53052,a47),a47,a45)),f9(a16,a50),f48(a45,a1)),f48(a45,a1)),f9(a16,a50),f48(a45,a1))),
% 31.65/31.57 inference(scs_inference,[],[300,765,733,129,345,115,739,151,257,145,5228,5268,5295,179,148,160,364,241,165,169,4586,4943,4971,4893,5037,4969,4712,5065,5040,5045,4751,5032,4606,5034,3507,4838,4722,1940,4242,2446,1510,1203,1056,953,1441,943,947,5260,426,454,674,630,483,107,425,577,616,619,463,509,581,521,594,522,506,434,471,627,466,638,519,567,453,639,461,497,658,570,546,654,462])).
% 31.65/31.57 cnf(5313,plain,
% 31.65/31.57 (~P14(f39(f22(x53131,f22(x53132,f23(x53133))),f2(f6(f2(f6(f3(f9(x53134,f4(a29))),f3(f9(x53134,f4(a29))),f48(a45,a1))),f2(f6(f3(f9(x53134,f4(a29))),f3(f9(x53134,f4(a29))),f48(a45,a1))),f48(a45,a1))),a45))),
% 31.65/31.57 inference(scs_inference,[],[300,236,765,733,129,345,115,739,151,257,145,5228,5268,5295,179,148,160,364,241,165,169,4586,4943,4971,4893,5037,4969,4712,5065,5040,5025,5045,4751,4989,5032,4606,5034,3507,4838,4722,4624,1940,2027,4242,2446,1510,1203,1056,953,1441,943,947,5260,426,454,674,630,483,107,425,577,616,619,463,509,581,521,594,522,506,434,471,627,466,638,519,567,453,639,461,497,658,570,546,654,462,553,416,24,530])).
% 31.65/31.57 cnf(5317,plain,
% 31.65/31.57 (~P14(f39(f32(a24,a51),f3(f40(f25(f21(x53171),f21(x53171)),f3(f9(a16,a50)),a45)),a45))),
% 31.65/31.57 inference(scs_inference,[],[300,236,765,5237,733,129,345,115,739,151,257,145,5228,5268,5295,179,148,160,364,241,165,169,4586,4943,4971,4893,5037,4969,4712,5065,5040,5025,5045,4751,4989,4756,5032,4606,5034,3507,4838,4722,4624,1940,2027,4242,2446,1510,1203,1056,953,1441,943,947,5260,426,454,674,630,483,107,425,577,616,619,463,509,581,521,594,522,506,434,471,627,466,638,519,567,453,639,461,497,658,570,546,654,462,553,416,24,530,491,493])).
% 31.65/31.57 cnf(5319,plain,
% 31.65/31.57 (P14(f32(f6(f6(f6(f40(x53191,f6(f40(a37,x53192,x53193),f40(a38,x53194,x53195),f48(x53196,a1)),x53197),x53198,f48(x53199,a1)),x531910,f48(x531911,a1)),x531912,f48(x531913,a1)),x531914))),
% 31.65/31.57 inference(scs_inference,[],[300,236,765,5237,733,129,345,115,739,151,193,257,145,5228,5268,5295,179,148,160,364,241,165,169,4586,4943,4971,5180,4893,5037,4969,4712,5065,5040,5025,5045,4751,4989,4756,5032,4606,5034,3507,4838,4722,4624,1940,2027,4242,2446,1510,1203,1056,953,1441,943,947,5260,426,454,674,630,483,107,425,577,616,619,463,509,581,521,594,522,506,434,471,627,466,638,519,567,453,639,461,497,658,570,546,654,462,553,416,24,530,491,493,457])).
% 31.65/31.57 cnf(5320,plain,
% 31.65/31.57 (P6(x53201,f6(x53201,x53202,f48(x53203,a1)),f48(x53203,a1))),
% 31.65/31.57 inference(rename_variables,[],[193])).
% 31.65/31.57 cnf(5322,plain,
% 31.65/31.57 (~P14(f39(f25(x53221,f25(x53222,f25(f32(a24,f32(a34,a52)),x53223))),f3(f3(f3(f3(f3(f9(a16,f4(a29))))))),a45))),
% 31.65/31.57 inference(scs_inference,[],[300,236,765,5237,733,129,345,115,739,151,193,257,145,5228,5268,5295,179,148,160,364,241,165,169,4586,4943,4971,5180,4893,5037,4969,4712,5065,5040,5025,5045,4751,4989,4756,5032,4606,5034,3507,4838,4722,4624,1940,2027,4242,2446,1510,1203,1056,953,1441,943,947,5260,426,454,674,630,483,107,425,577,616,619,463,509,581,521,594,522,506,434,471,627,466,638,519,567,453,639,461,497,658,570,546,654,462,553,416,24,530,491,493,457,533])).
% 31.65/31.57 cnf(5324,plain,
% 31.65/31.57 (P14(f39(x53241,f6(f6(f40(x53242,f6(f40(a37,x53243,x53244),f40(a38,x53245,x53246),f48(x53247,a1)),x53248),x53249,f48(x532410,a1)),x532411,f48(x532412,a1)),x532413))),
% 31.65/31.57 inference(scs_inference,[],[300,236,765,5237,733,129,345,115,739,151,193,257,145,5228,5268,5295,179,148,160,364,241,165,169,4586,4943,4971,5180,4893,5037,4969,4712,5065,5040,5025,5045,4751,4989,4756,5032,4606,5034,3507,4838,4722,4624,1940,2027,4242,2446,1510,1203,1056,953,1441,943,947,5260,426,454,674,630,483,107,425,577,616,619,463,509,581,521,594,522,506,434,471,627,466,638,519,567,453,639,461,497,658,570,546,654,462,553,416,24,530,491,493,457,533,436])).
% 31.65/31.57 cnf(5326,plain,
% 31.65/31.57 (~P14(f39(f32(a24,f32(a34,a17)),f2(f9(a16,f14(f12(a16,x53261,f19(f21(x53262))),f4(a29),a29))),a45))),
% 31.65/31.57 inference(scs_inference,[],[300,236,765,5237,733,129,345,115,739,151,193,257,145,5228,5268,5295,179,148,160,364,241,165,169,349,4586,4943,4971,5180,4893,5037,4969,4712,5065,5040,5025,5045,4751,4989,4756,5032,4606,5034,3507,4838,4722,4624,1940,2027,4242,2446,1510,1203,1056,953,1441,2344,943,947,5260,426,454,674,630,483,107,425,577,616,619,463,509,581,521,594,522,506,434,471,627,466,638,519,567,453,639,461,497,658,570,546,654,462,553,416,24,530,491,493,457,533,436,617])).
% 31.65/31.57 cnf(5336,plain,
% 31.65/31.57 (~P6(f6(x53361,f6(x53362,f6(f33(f48(a45,a1)),f6(f3(f41(a24,f40(f32(a34,a52),x53363,a47),a47,a45)),f9(a16,a50),f48(a45,a1)),f48(a45,a1)),f48(a45,a1)),f48(a45,a1)),f9(a16,a50),f48(a45,a1))),
% 31.65/31.57 inference(scs_inference,[],[300,236,765,5237,733,129,345,115,739,151,193,257,167,145,5228,5268,5295,179,148,160,364,241,165,169,349,4586,4943,5050,4971,5180,4893,5037,4969,4712,5065,5040,5025,5045,4751,4989,4756,5032,4606,5034,3507,4838,4722,4624,1940,2027,4242,2446,1510,1203,1056,953,1441,2344,943,5281,947,5260,426,454,674,630,483,107,425,577,616,619,463,509,581,521,594,522,506,434,471,627,466,638,519,567,453,639,461,497,658,570,546,654,462,553,416,24,530,491,493,457,533,436,617,532,480,492,555])).
% 31.65/31.57 cnf(5339,plain,
% 31.65/31.57 (P14(f39(x53391,f7(f5(x53392,f14(f11(x53393,x53391),x53394,a29),a29)),a45))),
% 31.65/31.57 inference(rename_variables,[],[765])).
% 31.65/31.57 cnf(5348,plain,
% 31.65/31.57 (~P6(f2(f2(f2(f2(f2(f2(f2(f40(f23(x53481),x53482,a45)))))))),f2(f9(x53483,f4(a29))),f48(a45,a1))),
% 31.65/31.57 inference(scs_inference,[],[300,236,765,5237,373,733,129,345,115,739,151,193,5320,257,235,167,145,5228,5268,5295,179,148,160,364,241,165,169,349,4586,4943,5050,4971,5180,5067,4893,5037,4969,4712,5065,5040,5025,5045,4751,4989,4756,5032,4606,5034,4574,3507,4838,4722,4624,1940,2027,4242,2446,1510,1203,1056,953,1441,2344,943,5281,947,5260,426,454,674,630,483,107,425,577,616,619,463,509,581,521,594,522,506,434,471,627,466,638,519,567,453,639,461,497,658,570,546,654,462,553,416,24,530,491,493,457,533,436,617,532,480,492,555,645,508,536,535,469])).
% 31.65/31.57 cnf(5352,plain,
% 31.65/31.57 (~P14(f39(f25(x53521,f25(f22(x53522,f22(x53523,f23(x53524))),x53525)),f2(f2(f6(f3(f9(x53526,f4(a29))),f3(f9(x53526,f4(a29))),f48(a45,a1)))),a45))),
% 31.65/31.57 inference(scs_inference,[],[300,236,765,5237,373,120,733,129,345,115,739,151,193,5320,257,235,167,145,5228,5268,5295,179,148,160,364,241,165,169,349,4586,4943,5050,4971,5180,5067,4893,5037,4969,4712,5065,5040,5025,5045,4751,4989,4756,5032,4606,5034,4574,3507,4948,4164,4838,4722,4624,1940,2027,3823,4242,2446,1510,1203,1056,953,1441,2344,943,5281,947,5260,426,454,674,630,483,107,425,577,616,619,463,509,581,521,594,522,506,434,471,627,466,638,519,567,453,639,461,497,658,570,546,654,462,553,416,24,530,491,493,457,533,436,617,532,480,492,555,645,508,536,535,469,481,664])).
% 31.65/31.57 cnf(5372,plain,
% 31.65/31.57 (P9(f48(x53721,a1))),
% 31.65/31.57 inference(rename_variables,[],[947])).
% 31.65/31.57 cnf(5374,plain,
% 31.65/31.57 (~P6(f6(f26(f26(f2(f9(a16,a50)))),x53741,f48(a45,a1)),f26(f9(a16,f4(a29))),f48(a45,a1))),
% 31.65/31.57 inference(scs_inference,[],[300,236,765,5237,373,120,733,129,345,115,739,151,193,5320,257,235,167,145,5228,5268,5295,179,148,160,277,364,241,165,169,349,4586,5101,4943,5050,4971,4950,5180,4987,4787,5067,4893,5037,5162,4969,4712,5065,5040,5025,5045,4751,4989,4756,5032,4606,5034,4574,3507,4948,4164,4838,4722,4624,1940,2027,3823,4242,2446,1510,1203,1056,953,1441,2344,943,5281,947,5260,5274,426,454,674,630,483,107,425,577,616,619,463,509,581,521,594,522,506,434,471,627,466,638,519,567,453,639,461,497,658,570,546,654,462,553,416,24,530,491,493,457,533,436,617,532,480,492,555,645,508,536,535,469,481,664,470,538,485,500,559,32,534,504,556])).
% 31.65/31.57 cnf(5377,plain,
% 31.65/31.57 (P14(f39(x53771,f7(f5(x53772,f14(f11(x53773,x53771),x53774,a29),a29)),a45))),
% 31.65/31.57 inference(rename_variables,[],[765])).
% 31.65/31.57 cnf(5384,plain,
% 31.65/31.57 (~P14(f39(f12(x53841,x53842,f23(x53843)),f15(f4(a29),a29),x53844))),
% 31.65/31.57 inference(scs_inference,[],[300,236,367,765,5237,5339,373,120,733,129,345,115,739,151,193,5320,257,235,167,145,5228,5268,5295,179,148,160,277,364,241,165,169,349,4586,5101,4943,5053,5050,4971,4950,5180,4987,4787,5067,4893,5037,5162,4969,4712,5065,5040,5025,5045,4751,4989,4756,5032,4606,5034,4574,3507,4948,4164,4838,4722,4624,1940,2027,3823,4242,2446,1510,1203,1056,953,1441,2344,943,5281,947,5260,5274,5372,426,454,674,630,483,107,425,577,616,619,463,509,581,521,594,522,506,434,471,627,466,638,519,567,453,639,461,497,658,570,546,654,462,553,416,24,530,491,493,457,533,436,617,532,480,492,555,645,508,536,535,469,481,664,470,538,485,500,559,32,534,504,556,543,531,502,464])).
% 31.65/31.57 cnf(5401,plain,
% 31.65/31.57 (~P6(f26(f26(f26(f2(f9(a16,a50))))),f26(f9(a16,f4(a29))),f48(a45,a1))),
% 31.65/31.57 inference(scs_inference,[],[300,236,367,765,5237,5339,127,203,373,120,327,733,129,345,115,739,151,193,5320,257,235,167,145,5228,5268,5295,179,148,160,277,364,241,165,169,349,4586,5101,4943,5053,5050,4971,4950,5180,5096,4987,4787,5067,4893,4601,4618,5137,5139,5037,5162,4969,4712,5065,5040,5025,5045,4751,4989,4756,5032,4606,5034,4849,4574,3507,4948,4164,4838,4722,4624,1940,2027,3823,4242,2446,1510,1203,3239,1056,953,1441,2344,943,5281,947,5260,5274,5372,426,454,674,630,483,107,425,577,616,619,463,509,581,521,594,522,506,434,471,627,466,638,519,567,453,639,461,497,658,570,546,654,462,553,416,24,530,491,493,457,533,436,617,532,480,492,555,645,508,536,535,469,481,664,470,538,485,500,559,32,534,504,556,543,531,502,464,629,524,2,92,98,97,91,88,90])).
% 31.65/31.57 cnf(5408,plain,
% 31.65/31.57 (~P14(f39(f19(f25(f25(f19(f25(f25(f32(a24,a51),x54081),x54082)),x54082),x54083)),f26(f3(f33(f48(a45,a1)))),a45))),
% 31.65/31.57 inference(scs_inference,[],[300,236,367,765,5237,5339,127,203,346,373,120,327,733,129,345,115,739,151,193,5320,257,235,167,145,5228,5268,5295,179,148,160,277,364,241,165,169,349,4586,5101,4943,5053,5050,4971,4950,5180,5096,4987,4787,5067,4893,4601,4618,5137,5139,5037,5162,4969,4712,5065,5040,5025,5045,4751,4989,4756,5032,4606,4977,5034,4849,4574,3507,4948,4164,4838,4722,4624,1940,2027,3823,4242,2446,1510,1203,3239,1056,953,1441,2344,943,5281,947,5260,5274,5372,426,454,674,630,483,107,425,577,616,619,463,509,581,521,594,522,506,434,471,627,466,638,519,567,453,639,461,497,658,570,546,654,462,553,416,24,530,491,493,457,533,436,617,532,480,492,555,645,508,536,535,469,481,664,470,538,485,500,559,32,534,504,556,543,531,502,464,629,524,2,92,98,97,91,88,90,20,3,1241,1684])).
% 31.65/31.57 cnf(5412,plain,
% 31.65/31.57 (~P14(f39(f25(x54121,f25(f25(x54122,f25(f25(f23(x54123),x54124),x54125)),x54126)),f2(f9(x54127,f4(a29))),a45))),
% 31.65/31.57 inference(scs_inference,[],[300,236,367,765,5237,5339,127,203,346,373,120,327,733,129,345,115,739,151,193,5320,257,235,167,145,5228,5268,5295,179,148,160,277,364,241,165,169,349,4586,5101,4943,5053,5050,4971,4950,5180,5096,4987,4787,5067,4893,4601,4618,5137,5139,5037,5162,4969,4712,5065,5040,5025,5045,4751,4989,4756,5032,4708,4606,4977,5034,4849,4574,3507,4948,4164,4838,4722,4624,1940,2027,3823,4242,2446,1510,1203,3239,1056,953,1441,2344,943,5281,947,5260,5274,5372,426,454,674,630,483,107,425,577,616,619,463,509,581,521,594,522,506,434,471,627,466,638,519,567,453,639,461,497,658,570,546,654,462,553,416,24,530,491,493,457,533,436,617,532,480,492,555,645,508,536,535,469,481,664,470,538,485,500,559,32,534,504,556,543,531,502,464,629,524,2,92,98,97,91,88,90,20,3,1241,1684,1681,576])).
% 31.65/31.57 cnf(5429,plain,
% 31.65/31.57 (P14(f39(f32(a24,f32(a34,a16)),f3(f9(a16,f14(f12(a16,x54291,f21(x54292)),f14(f12(x54293,a17,f25(f21(x54293),f25(f21(x54294),f23(x54295)))),f4(a29),a29),a29))),a45))),
% 31.65/31.57 inference(scs_inference,[],[300,236,367,765,5237,5339,127,203,346,373,751,120,327,733,129,345,115,739,151,193,5320,257,235,329,167,145,5228,5268,5295,179,148,160,277,364,241,165,169,154,349,4586,5101,4943,5053,5050,4971,4950,5180,5096,4987,4787,5067,4893,4601,4618,5137,5139,5037,5162,4969,4712,5065,5040,5025,5045,4751,4989,4756,5032,4708,4606,4977,5034,4849,4574,3507,4948,4164,4838,4722,4624,1940,3999,2027,4610,3823,4242,2446,1510,1203,3239,1056,953,1441,2344,3739,943,5281,947,5260,5274,5372,155,426,454,674,630,483,107,425,577,616,619,463,509,581,521,594,522,506,434,471,627,466,638,519,567,453,639,461,497,658,570,546,654,462,553,416,24,530,491,493,457,533,436,617,532,480,492,555,645,508,536,535,469,481,664,470,538,485,500,559,32,534,504,556,543,531,502,464,629,524,2,92,98,97,91,88,90,20,3,1241,1684,1681,576,707,486,381,512,514,431,601])).
% 31.65/31.57 cnf(5452,plain,
% 31.65/31.57 (~E(f5(x54521,f14(x54522,x54523,x54524),x54524),x54521)),
% 31.65/31.57 inference(scs_inference,[],[300,236,367,765,5237,5339,5377,127,203,346,373,751,120,327,733,129,345,115,333,739,151,193,5320,257,235,329,167,145,5228,5268,5295,179,148,160,277,364,241,165,169,154,349,4586,5101,2977,4943,5177,5053,5050,4971,4950,5180,5096,4987,4787,5067,4893,4601,4618,5137,5139,5037,5162,4969,4712,5065,5040,5025,5045,4751,4989,4756,5032,4708,4606,4977,5034,4849,4574,3507,4948,4164,4838,4722,4624,4221,1940,3999,2027,4610,3823,4242,2446,1510,1203,3239,1056,953,1441,2344,3739,943,5281,947,5260,5274,5372,155,426,454,674,630,483,107,425,577,616,619,463,509,581,521,594,522,506,434,471,627,466,638,519,567,453,639,461,497,658,570,546,654,462,553,416,24,530,491,493,457,533,436,617,532,480,492,555,645,508,536,535,469,481,664,470,538,485,500,559,32,534,504,556,543,531,502,464,629,524,2,92,98,97,91,88,90,20,3,1241,1684,1681,576,707,486,381,512,514,431,601,396,414,476,424,408,697,632,383,489,545,419])).
% 31.65/31.57 cnf(5456,plain,
% 31.65/31.57 (P9(f48(x54561,f48(x54562,f48(x54563,a47))))),
% 31.65/31.57 inference(scs_inference,[],[300,236,367,765,5237,5339,5377,127,203,346,373,751,120,327,733,129,345,115,333,739,151,193,5320,257,235,329,167,145,5228,5268,5295,179,148,160,277,364,241,165,169,154,349,4586,5101,2977,4943,5177,5053,5050,4971,4950,5180,5096,4987,4787,5067,4893,4601,4618,5137,5139,5037,5162,4969,4712,5065,5040,5025,5045,4751,4989,4756,5032,4708,4606,4977,5034,4849,4574,3507,4948,4164,4838,4722,4624,4221,1940,3999,2027,4610,3823,4242,2446,1510,1203,3239,1056,953,1441,2344,3739,943,5281,947,5260,5274,5372,155,426,454,674,630,483,107,425,577,616,619,463,509,581,521,594,522,506,434,471,627,466,638,519,567,453,639,461,497,658,570,546,654,462,553,416,24,530,491,493,457,533,436,617,532,480,492,555,645,508,536,535,469,481,664,470,538,485,500,559,32,534,504,556,543,531,502,464,629,524,2,92,98,97,91,88,90,20,3,1241,1684,1681,576,707,486,381,512,514,431,601,396,414,476,424,408,697,632,383,489,545,419,439,382])).
% 31.65/31.57 cnf(5500,plain,
% 31.65/31.57 (~P14(f39(f25(f32(a24,a51),x55001),f26(f3(f3(f40(f25(f21(x55002),f21(x55002)),f9(a16,a50),a45)))),a45))),
% 31.65/31.57 inference(scs_inference,[],[300,236,367,765,5237,5339,5377,127,203,346,373,751,120,327,733,129,345,5234,115,333,739,151,193,5320,257,235,329,167,145,5228,5268,5295,179,148,160,277,364,241,165,169,154,349,4586,5101,2977,4943,5177,5053,5050,4971,4950,5184,5180,5096,4987,4787,5067,4893,4601,4618,5137,5139,5037,5162,4969,4712,5065,5040,5025,5045,4751,4910,4989,4756,5032,5286,4708,4606,4977,5034,4849,4574,3507,4948,4164,4838,4722,4921,4624,4221,1940,3999,2027,4610,3823,4242,2446,1510,1203,3239,1056,953,1441,2344,3739,943,5281,947,5260,5274,5372,155,426,454,674,630,483,107,425,577,616,619,463,509,581,521,594,522,506,434,471,627,466,638,519,567,453,639,461,497,658,570,546,654,462,553,416,24,530,491,493,457,533,436,617,532,480,492,555,645,508,536,535,469,481,664,470,538,485,500,559,32,534,504,556,543,531,502,464,629,524,2,92,98,97,91,88,90,20,3,1241,1684,1681,576,707,486,381,512,514,431,601,396,414,476,424,408,697,632,383,489,545,419,439,382,427,392,390,378,445,395,393,443,523,446,673,388,460,554,595,455,467,653,589,561])).
% 31.65/31.57 cnf(5531,plain,
% 31.65/31.57 (~E(f32(f36(f21(x55311)),x55312),f32(f36(f32(a24,x55313)),x55314))),
% 31.65/31.57 inference(scs_inference,[],[300,303,236,367,765,5237,5339,5377,127,203,346,373,751,120,327,335,733,129,345,5234,115,333,739,5219,151,193,5320,257,235,329,167,145,5228,5268,5295,179,148,160,277,281,364,241,156,165,5294,169,154,349,4586,5101,2977,4035,4315,4943,5177,5053,5050,4971,4950,5184,5180,5096,4987,4787,5067,4893,4601,4618,5137,5139,5037,5162,4969,4712,5065,5040,5025,5045,4751,4910,4989,4756,5032,5286,4708,4606,4977,5034,4697,4849,4574,3507,4948,4164,4838,4722,4921,4624,4221,1940,3999,2027,4610,3823,4242,2446,1418,1510,797,1203,3239,1056,953,1441,2344,3739,943,5281,947,5260,5274,5372,155,426,454,674,630,483,107,425,577,616,619,463,509,581,521,594,522,506,434,471,627,466,638,519,567,453,639,461,497,658,570,546,654,462,553,416,24,530,491,493,457,533,436,617,532,480,492,555,645,508,536,535,469,481,664,470,538,485,500,559,32,534,504,556,543,531,502,464,629,524,2,92,98,97,91,88,90,20,3,1241,1684,1681,576,707,486,381,512,514,431,601,396,414,476,424,408,697,632,383,489,545,419,439,382,427,392,390,378,445,395,393,443,523,446,673,388,460,554,595,455,467,653,589,561,680,701,465,592,618,572,442,704,472,681,415,668,403])).
% 31.65/31.57 cnf(5564,plain,
% 31.65/31.57 (~P14(f39(x55641,f3(f33(f48(a45,a1))),a45))),
% 31.65/31.57 inference(rename_variables,[],[791])).
% 31.65/31.57 cnf(5579,plain,
% 31.65/31.57 (E(f5(f4(x55791),x55792,x55791),x55792)),
% 31.65/31.57 inference(rename_variables,[],[139])).
% 31.65/31.57 cnf(5582,plain,
% 31.65/31.57 (~P14(f39(f12(x55821,x55822,f25(x55823,f25(f25(x55824,f25(f25(f23(x55825),x55826),x55827)),x55828))),f15(f4(a29),a29),a29))),
% 31.65/31.57 inference(scs_inference,[],[765,139,345,145,364,154,5456,4233,5232,5313,5408,5412,5248,3550,4383,2193,953,791,401,426,384,412,558,614,467,653,596,588,435,107,521,612])).
% 31.65/31.57 cnf(5601,plain,
% 31.65/31.57 (P9(f48(x56011,a1))),
% 31.65/31.57 inference(rename_variables,[],[947])).
% 31.65/31.57 cnf(5603,plain,
% 31.65/31.57 (~P14(f39(f25(f19(f25(f25(f32(a24,a51),x56031),x56032)),x56032),f26(f3(f33(f48(a45,a1)))),a45))),
% 31.65/31.57 inference(scs_inference,[],[226,771,774,765,139,345,145,731,364,165,154,5401,5456,4233,5232,5313,4835,5408,5412,5248,5326,3550,4383,2193,953,791,947,401,426,384,412,558,614,467,653,596,588,435,107,521,612,463,95,557,687,682,522,506,433,580])).
% 31.65/31.57 cnf(5604,plain,
% 31.65/31.57 (P14(f39(f21(x56041),f26(x56042),a45))),
% 31.65/31.57 inference(rename_variables,[],[165])).
% 31.65/31.57 cnf(5622,plain,
% 31.65/31.57 (P14(f39(x56221,f6(f6(f40(x56222,f6(f40(a37,x56223,x56224),f40(a38,x56225,x56226),f48(x56227,a1)),x56228),x56229,f48(x562210,a1)),x562211,f48(x562212,a1)),x562213))),
% 31.65/31.57 inference(rename_variables,[],[5324])).
% 31.65/31.57 cnf(5629,plain,
% 31.65/31.57 (P14(f39(f21(x56291),f26(x56292),a45))),
% 31.65/31.57 inference(rename_variables,[],[165])).
% 31.65/31.57 cnf(5636,plain,
% 31.65/31.57 (P6(x56361,f26(f6(x56362,x56361,f48(a45,a1))),f48(a45,a1))),
% 31.65/31.57 inference(rename_variables,[],[771])).
% 31.65/31.57 cnf(5639,plain,
% 31.65/31.57 (P14(f39(f21(x56391),f26(x56392),a45))),
% 31.65/31.57 inference(rename_variables,[],[165])).
% 31.65/31.57 cnf(5643,plain,
% 31.65/31.57 (P6(f2(f40(f32(a24,f32(a34,x56431)),f33(f48(a45,a1)),a45)),f7(x56432),f48(a45,a1))),
% 31.65/31.57 inference(rename_variables,[],[759])).
% 31.65/31.57 cnf(5646,plain,
% 31.65/31.57 (P14(f39(x56461,f7(f5(x56462,f14(f11(x56463,x56461),x56464,a29),a29)),a45))),
% 31.65/31.57 inference(rename_variables,[],[765])).
% 31.65/31.57 cnf(5671,plain,
% 31.65/31.57 (P6(x56711,f26(f6(x56712,x56711,f48(a45,a1))),f48(a45,a1))),
% 31.65/31.57 inference(rename_variables,[],[771])).
% 31.65/31.57 cnf(5680,plain,
% 31.65/31.57 (P6(x56801,f26(f6(x56802,x56801,f48(a45,a1))),f48(a45,a1))),
% 31.65/31.57 inference(rename_variables,[],[771])).
% 31.65/31.57 cnf(5690,plain,
% 31.65/31.57 (P6(x56901,f26(f6(x56902,x56901,f48(a45,a1))),f48(a45,a1))),
% 31.65/31.57 inference(rename_variables,[],[771])).
% 31.65/31.57 cnf(5693,plain,
% 31.65/31.57 (P6(x56931,f26(f6(x56932,x56931,f48(a45,a1))),f48(a45,a1))),
% 31.65/31.57 inference(rename_variables,[],[771])).
% 31.65/31.57 cnf(5711,plain,
% 31.65/31.57 (P6(x57111,f26(f6(x57112,x57111,f48(a45,a1))),f48(a45,a1))),
% 31.65/31.57 inference(rename_variables,[],[771])).
% 31.65/31.57 cnf(5727,plain,
% 31.65/31.57 (P6(x57271,f26(f6(x57272,x57271,f48(a45,a1))),f48(a45,a1))),
% 31.65/31.57 inference(rename_variables,[],[771])).
% 31.65/31.57 cnf(5738,plain,
% 31.65/31.57 (P6(x57381,f26(f6(x57382,x57381,f48(a45,a1))),f48(a45,a1))),
% 31.65/31.57 inference(rename_variables,[],[771])).
% 31.65/31.57 cnf(5741,plain,
% 31.65/31.57 (~P14(f39(f25(f23(f42(x57411)),x57412),f7(x57411),a45))),
% 31.65/31.57 inference(rename_variables,[],[774])).
% 31.65/31.57 cnf(5748,plain,
% 31.65/31.57 (P6(x57481,f26(f6(x57482,x57481,f48(a45,a1))),f48(a45,a1))),
% 31.65/31.57 inference(rename_variables,[],[771])).
% 31.65/31.57 cnf(5763,plain,
% 31.65/31.57 (~E(f39(x57631,f7(f5(x57632,f14(f11(x57633,x57631),x57634,a29),a29)),a45),f39(f25(f23(f42(x57635)),x57636),f7(x57635),a45))),
% 31.65/31.57 inference(scs_inference,[],[304,153,226,246,771,5636,5671,5680,5690,5693,5711,5727,5738,768,774,5741,250,765,5646,263,139,5579,162,345,727,759,5643,167,234,161,168,145,731,736,352,160,281,114,364,165,5604,5629,5639,154,349,4940,5288,5452,3317,5336,5305,5374,5324,5401,5319,5456,5531,5348,5199,4859,4233,2081,5232,5255,5322,5075,5313,4885,5251,5352,5301,4835,4985,5408,5239,5412,5317,5248,2403,5326,5303,3192,3550,4383,4774,4727,5034,1409,4584,2193,953,791,939,943,947,5601,401,426,384,412,558,614,467,653,596,588,435,107,521,612,463,95,557,687,682,522,506,433,580,627,471,638,519,567,625,628,466,639,453,461,497,658,570,592,547,654,618,553,416,462,530,491,457,493,533,436,480,617,532,555,645,508,469,535,492,572,470,481,536,500,534,664,559,485,538,504,531,32,556,543,629,524,502,464,2,92,98,91,97,20,88])).
% 31.65/31.57 cnf(5786,plain,
% 31.65/31.57 (~P14(f39(f12(x57861,x57862,f23(x57863)),f15(f4(a29),a29),x57864))),
% 31.65/31.57 inference(rename_variables,[],[5384])).
% 31.65/31.57 cnf(5815,plain,
% 31.65/31.57 (~P14(f39(f32(a18,f32(f36(x58151),f12(x58152,x58153,f23(x58154)))),f41(a18,f41(f36(x58155),f15(f4(a29),a29),a46,a47),a47,a47),a47))),
% 31.65/31.57 inference(scs_inference,[],[304,153,226,246,771,5636,5671,5680,5690,5693,5711,5727,5738,5748,768,774,5741,250,341,765,5646,263,375,139,5579,162,163,345,727,759,5643,167,234,161,168,145,354,731,736,352,160,281,114,364,165,5604,5629,5639,169,154,349,4940,5288,5452,3317,5384,5786,5336,5246,5305,5374,5324,5622,5401,5319,5456,5531,5348,5199,4859,4233,2081,5232,5048,5255,5322,5075,5313,4885,5251,5352,5301,4835,4985,5408,5239,5412,5317,5248,2403,5429,5326,5303,3192,3550,4304,4383,1553,4774,4727,5034,1409,4584,4242,2193,953,791,939,943,947,5601,401,426,384,412,558,614,467,653,596,588,435,107,521,612,463,95,557,687,682,522,506,433,580,627,471,638,519,567,625,628,466,639,453,461,497,658,570,592,547,654,618,553,416,462,530,491,457,493,533,436,480,617,532,555,645,508,469,535,492,572,470,481,536,500,534,664,559,485,538,504,531,32,556,543,629,524,502,464,2,92,98,91,97,20,88,90,3,684,666,380,379,477,495,670,450,669,478,516,579,447,686,448,444,402,394,387,377,391,389,699])).
% 31.65/31.57 cnf(5835,plain,
% 31.65/31.57 (~E(f7(f5(x58351,f14(f11(x58352,f25(f23(f42(x58353)),x58354)),x58355,a29),a29)),f7(x58353))),
% 31.65/31.57 inference(scs_inference,[],[304,153,226,246,771,5636,5671,5680,5690,5693,5711,5727,5738,5748,768,774,5741,250,341,765,5646,263,375,139,5579,162,163,345,727,759,5643,235,167,234,161,168,145,354,731,736,352,160,281,114,364,165,5604,5629,5639,169,154,349,4940,5288,5452,3317,5384,5786,5336,5246,5305,5374,5324,5622,5401,5319,5456,5531,5348,5199,4859,4233,2081,5232,5048,5255,5322,5075,5313,4885,5251,5352,5301,4835,4985,5408,5239,5412,5317,5248,2403,5429,5326,5303,3192,4047,3550,4304,4383,4295,1553,4774,4727,5034,1409,4584,4242,2193,953,791,5564,939,943,947,5601,401,426,384,412,558,614,467,653,596,588,435,107,521,612,463,95,557,687,682,522,506,433,580,627,471,638,519,567,625,628,466,639,453,461,497,658,570,592,547,654,618,553,416,462,530,491,457,493,533,436,480,617,532,555,645,508,469,535,492,572,470,481,536,500,534,664,559,485,538,504,531,32,556,543,629,524,502,464,2,92,98,91,97,20,88,90,3,684,666,380,379,477,495,670,450,669,478,516,579,447,686,448,444,402,394,387,377,391,389,699,520,494,449,505,574,554,634,6])).
% 31.65/31.57 cnf(5842,plain,
% 31.65/31.57 (~P14(f39(f25(f32(a24,a51),f32(a24,a51)),f26(f26(f3(f3(f40(f25(f21(x58421),f21(x58421)),f9(a16,a50),a45))))),a45))),
% 31.65/31.57 inference(scs_inference,[],[304,153,226,246,771,5636,5671,5680,5690,5693,5711,5727,5738,5748,768,774,5741,250,341,765,5646,263,375,139,5579,162,163,345,727,759,5643,235,167,234,161,168,145,354,731,736,352,160,281,114,364,241,165,5604,5629,5639,169,154,349,4940,5288,5452,3317,5384,5786,5336,5246,5305,5374,5324,5622,5401,5319,5456,5531,5348,5199,4859,4233,2081,5232,5048,5255,5322,5075,5313,4885,5251,5352,5301,5500,4835,4985,5408,5239,5412,5317,5248,2403,5429,5326,5303,3192,4047,3550,4304,4383,4295,1553,4774,4727,5034,1409,3577,4584,3517,4242,2193,953,791,5564,939,943,947,5601,401,426,384,412,558,614,467,653,596,588,435,107,521,612,463,95,557,687,682,522,506,433,580,627,471,638,519,567,625,628,466,639,453,461,497,658,570,592,547,654,618,553,416,462,530,491,457,493,533,436,480,617,532,555,645,508,469,535,492,572,470,481,536,500,534,664,559,485,538,504,531,32,556,543,629,524,502,464,2,92,98,91,97,20,88,90,3,684,666,380,379,477,495,670,450,669,478,516,579,447,686,448,444,402,394,387,377,391,389,699,520,494,449,505,574,554,634,6,591,637,582])).
% 31.65/31.57 cnf(5928,plain,
% 31.65/31.57 (~P14(f39(f23(f42(x59281)),f7(x59281),a45))),
% 31.65/31.57 inference(rename_variables,[],[354])).
% 31.65/31.57 cnf(5953,plain,
% 31.65/31.57 ($false),
% 31.65/31.57 inference(scs_inference,[],[339,368,733,354,5928,4480,5835,5582,5842,5763,5603,5815,3606,2382,1768,799,791,1639,676,636,537,569,558,653,5,511,554,46]),
% 31.65/31.57 ['proof']).
% 31.65/31.57 % SZS output end Proof
% 31.65/31.57 % Total time :30.650000s
%------------------------------------------------------------------------------